laboratoire informatique, signaux et systemes de …mh/rr/2001/liste-2001.pdf · 2002. 6. 27. ·...

8
LABORATOIRE I3S : Les Algorithmes / Euclide B – 2000 route des Lucioles – B.P. 121 06903 Sophia Antipolis Cedex – Tél. (33) 492 942 701 – Télécopie : (33) 492 942 898 http://www.i3s.unice.fr/I3S/FR/ Pour tout renseignement, s’adresser à Micheline Hagnéré Tél : (33) 492 942 704 – email : [email protected] LABORATOIRE INFORMATIQUE, SIGNAUX ET SYSTEMES DE SOPHIA ANTIPOLIS UMR 6070 LISTE DES THÈSES RAPPORTS DE RECHERCHE & RAPPORTS TECHNIQUES DES MEMBRES DU LABORATOIRE I3S PÉRIODE 2000 2001

Upload: others

Post on 19-Aug-2020

2 views

Category:

Documents


0 download

TRANSCRIPT

Page 1: LABORATOIRE INFORMATIQUE, SIGNAUX ET SYSTEMES DE …mh/RR/2001/liste-2001.pdf · 2002. 6. 27. · [Dir01] DIRAT L. “Outils pour des Mathématiques Interactives et Distribuées”

LABORATOIRE I3S Les Algorithmes Euclide B ndash 2000 route des Lucioles ndash BP 121

06903 Sophia Antipolis Cedex ndash Teacutel (33) 492 942 701 ndash Teacuteleacutecopie (33) 492 942 898 httpwwwi3sunicefrI3SFR Pour tout renseignement srsquoadresser agrave Micheline Hagneacutereacute Teacutel (33) 492 942 704 ndash email mhi3sunicefr

LABORATOIRE

INFORMATIQUE SIGNAUX ET SYSTEMES

DE SOPHIA ANTIPOLIS UMR 6070

LISTE DES THEgraveSES RAPPORTS DE RECHERCHE

amp RAPPORTS TECHNIQUES

DES MEMBRES DU LABORATOIRE I3S

PEacuteRIODE 2000 ndash 2001

LABORATOIRE I3S Les Algorithmes Euclide B ndash 2000 route des Lucioles ndash BP 121

06903 Sophia Antipolis Cedex ndash Teacutel (33) 492 942 701 ndash Teacuteleacutecopie (33) 492 942 898 httpwwwi3sunicefrI3SFR Pour tout renseignement srsquoadresser agrave Micheline Hagneacutereacute Teacutel (33) 492 942 704 ndash email mhi3sunicefr

Thegraveses

[Bea00] BEAUQUIER B

ldquoCommunications dans les reacuteseaux optiques par multiplexage en longueur drsquoonderdquo Thegravese de doctorat Sciences mention Informatique Universiteacute de Nice - Sophia Antipolis Janvier 2000

[Bla00] BLANC-FEacuteRAUD L

ldquoSur quelques problegravemes inverses en traitement drsquoimagerdquo Habilitation agrave diriger des recherches Speacutecialiteacute ldquoSciences pour lrsquoIngeacutenieurrdquo Universiteacute de Nice - Sophia Antipolis 7 Juillet 2000

[Deb00] DEBREUVE E

ldquoSegmentation par contours actifs en imagerie meacutedicale dynamique application en cardiologie nucleacuteairerdquo Thegravese de Doctorat Speacutecialiteacute ldquoSciences et Technologies de lrsquoInformation et de la Communicationrdquo Mention ldquoSciences Pour lrsquoIngeacutenieurrdquo Universiteacute de Nice-Sophia Antipolis 27 Octobre 2000 132 pages

[Del00] DELOBEL F

ldquoReacutesolution de contraintes reacuteelles non lineacuteairesrdquo Thegravese de Doctorat mention ldquoInformatiquerdquo Universiteacute de Nice - Sophia Antipolis Janvier 2000

[Gas00] GASPAR A

ldquoEtude de lrsquoadaptativiteacute de systegravemes eacutevolutionnistes en environnement agrave fitness dynamiquerdquo Thegravese de Doctorat Sciences mention ldquoInformatiquerdquo Universiteacute de Nice - Sophia Antipolis 4 Juillet 2000

[Gau00] GAUTIER R

ldquoPlanification seacutequentielle drsquoexpeacuteriences pour des modegraveles de parameacutetrisation non lineacuteairerdquo Thegravese de Doctorat Speacutecialiteacute ldquoSciences et Technologies de lrsquoInformation et de la Communicationrdquo Mention ldquoSciences pour lrsquoIngeacutenieurrdquo Universiteacute de Nice-Sophia Antipolis 19 Juin 2000 168 pages

[Got00] GOTLIEB A

ldquoGeacuteneacuteration Automatique de Cas de Test Structurel avec la Programmation Logique par Contraintesrdquo Thegravese de Doctorat Sciences mention ldquoInformatiquerdquo Universiteacute de Nice - Sophia Antipolis 24 Janvier 2000

[Gre00] GRELLIER O

ldquoDeacuteconvolution et Seacuteparation de Sources Discregravetesrdquo Thegravese de Doctorat Sciences mention ldquoSciences Pour lrsquoIngeacutenieurrdquo Universiteacute de Nice - Sophia Antipolis 26 Janvier 2000

[Jun00] JUNG J

ldquoOMD une meacutethode de deacutecodage optimal orienteacutee objet pour les seacutequences drsquoimagesrdquo Thegravese de Doctorat Sciences mention ldquoElectroniquerdquo Universiteacute de Nice-Sophia Antipolis 17 Novembre 2000 189 pages

LABORATOIRE I3S Les Algorithmes Euclide B ndash 2000 route des Lucioles ndash BP 121

06903 Sophia Antipolis Cedex ndash Teacutel (33) 492 942 701 ndash Teacuteleacutecopie (33) 492 942 898 httpwwwi3sunicefrI3SFR Pour tout renseignement srsquoadresser agrave Micheline Hagneacutereacute Teacutel (33) 492 942 704 ndash email mhi3sunicefr

[Mal00] MALLET F

ldquoModeacutelisation et eacutevaluation de performances drsquoarchitectures mateacuterielles numeacuteriquesrdquo Thegravese de Doctorat Sciences mention ldquoSciences pour lrsquoIngeacutenieurrdquo Universiteacute de Nice - Sophia Antipolis 21 Deacutecembre 2000

[Mar00] MARLIN N

ldquoCommunications Structureacutees dans les Reacuteseauxrdquo Thegravese de Doctorat Sciences mention Informatique Universiteacute de Nice - Sophia Antipolis Juin 2000

[Mom00] MOMPRIVEacute S

ldquoClassification automatique de cibles observeacutees par un systegraveme optroniquerdquo Thegravese de doctorat mention Sciences Pour lrsquoIngeacutenieur Universiteacute de Nice-Sophia Antipolis Octobre 2000

[Rai00] RAIMBAULT S

ldquoContribution agrave la Conception et au Prototypage de Systegravemes sur Silicium Evaluation Fonctionnellerdquo Thegravese de Doctorat Sciences mention Informatique Universiteacute de Montpellier II 19 Deacutecembre 2000 151 pages

[Sag00] SAGNOL D

ldquoConception et Optimisation de Programmes agrave Objets Parallegraveles Reacutepartis et Multithreadesrdquo Thegravese de Doctorat Sciences mention ldquoInformatiquerdquo Universiteacute de Nice - Sophia Antipolis 5 Juin 2000

[Sam00] SAMSON C

ldquoContribution agrave la classification drsquoimages satellitaires par approche variationnelle et eacutequations aux deacuteriveacutees partiellesrdquo Thegravese de Doctorat mention Sciences Pour lrsquoIngeacutenieur Speacutecialiteacute ldquoTraitement des imagesrdquo Universiteacute de Nice-Sophia Antipolis 26 Septembre 2000 204 pages

[Ser00] SERRANO M

ldquoVers une programmation fonctionnelle praticablerdquo Habilitation agrave diriger des recherches Septembre 2000 Universiteacute de Nice - Sophia Antipolis

[Tou00] TOURET A

ldquoLrsquoespace geacuteographique et lrsquoaccessibiliteacute vers une approche unifieacutee analytique-systeacutemiquerdquo Thegravese de Doctorat Sciences mention ldquoInformatiquerdquo Universiteacute de Nice - Sophia Antipolis 21 Deacutecembre 2000

[Pas00] PASQUIER N

ldquoData mining Algorithmes drsquoextraction et de reacuteduction des regravegles drsquoassociation dans les bases de donneacuteesrdquo Thegravese de Doctorat Universiteacute Blaise Pascal Clermond-Ferrand II Feacutevrier 2000 234 pages

[Ber01] BERGER L

ldquoMise en Oeuvre des Interactions en Environnements Distribueacutes Compileacutes et fortement Typeacutes le Modegravele MICADOrdquo Thegravese de doctorat mention Informatique Universiteacute de Nice-Sophia Antipolis Octobre 2001

[Cay01] CAYOT R-O

ldquoReacutecupeacuteration automatique drsquoerreurs syntaxiques en analyse discriminante reacutetrograderdquo Thegravese de doctorat Sciences mention Informatique Universiteacute de Nice-Sophia Antipolis Deacutecembre 2001

LABORATOIRE I3S Les Algorithmes Euclide B ndash 2000 route des Lucioles ndash BP 121

06903 Sophia Antipolis Cedex ndash Teacutel (33) 492 942 701 ndash Teacuteleacutecopie (33) 492 942 898 httpwwwi3sunicefrI3SFR Pour tout renseignement srsquoadresser agrave Micheline Hagneacutereacute Teacutel (33) 492 942 704 ndash email mhi3sunicefr

[Cou01] COUDERT D

ldquoAlgorithmique et optimisation de reacuteseaux de communications optiquesrdquo Thegravese de doctorat mention Sciences Pour lrsquoIngeacutenieur Universiteacute de Nice-Sophia Antipolis Deacutecembre 2001

[Cre01] CRESCENZO P

ldquoOFL Un modegravele pour parameacutetrer la seacutemantique opeacuterationnelle des langages agrave objets - Application aux relations inter-classesrdquo Thegravese de doctorat mention Informatique Universiteacute de Nice-Sophia Antipolis Deacutecembre 2001

[Cue01] CUESTA F

ldquoSynthegravese des ressources de communication pour la conception de systegravemes embarqueacutes temps reacuteel flots de donneacuteesrdquo Thegravese de doctorat mention Informatique Universiteacute de Nice-Sophia Antipolis Octobre 2001

[Dir01] DIRAT L

ldquoOutils pour des Matheacutematiques Interactives et Distribueacuteesrdquo Thegravese de doctorat mention Informatique Universiteacute de Nice-Sophia Antipolis Janvier 2001

[Far01] FARREacute J

ldquoSur quelques aspects theacuteoriques et pratiques de la compilationrdquo Habilitation agrave Diriger des Recherches Sciences de lrsquoIngeacutenieur Universiteacute de Nice-Sophia Antipolis Deacutecembre 2001

[Jal01] JALOBEANU A

ldquoModegraveles estimation bayeacutesienne et algorithmes pour la deacuteconvolution drsquoimages satellitaires et aeacuteriennesrdquo Thegravese de doctorat mention Sciences pour lrsquoIngeacutenieur Universiteacute de Nice-Sophia Antipolis Deacutecembre 2001

[Muh01] MUHAMMAD W

ldquoEstimation de retards de facteurs drsquoeacutechelle et de variations de forme de signaux vectoriels application aux signaux biomeacutedicauxrdquo Thegravese de Doctorat Sciences mention ldquoElectroniquerdquo Universiteacute de Nice-Sophia Antipolis 9 Feacutevrier 2001

[Sto01] STOICA R

ldquoProcessus Ponctuels pour lrsquoExtraction de Reacuteseaux Lineacuteiques dans les Images Satellitaires et Aeacuteriennesrdquo Thegravese de Doctorat Sciences mention ldquoInformatiquerdquo Universiteacute de Nice-Sophia Antipolis 9 Feacutevrier 2001

LABORATOIRE I3S Les Algorithmes Euclide B ndash 2000 route des Lucioles ndash BP 121

06903 Sophia Antipolis Cedex ndash Teacutel (33) 492 942 701 ndash Teacuteleacutecopie (33) 492 942 898 httpwwwi3sunicefrI3SFR Pour tout renseignement srsquoadresser agrave Micheline Hagneacutereacute Teacutel (33) 492 942 704 ndash email mhi3sunicefr

Rapports de Recherche ndash Rapports Techniques RR 00-01 CAPOUILLEZ A CHIGNOLI R CRESCENZO P LAHIRE P

ldquoHow to Improve Persistent-Object Management using Relationship Information rdquo Rapport de Recherche I3SRR--2000-01--FR Mai 2000 14 pages

RR 00-02 CAPOUILLEZ A CHIGNOLI R CRESCENZO P LAHIRE P

ldquoGestion des objets persistants gracircce aux liens entre classesrdquo Rapport de Recherche I3SRR--2000-02--FR Avril 2000 10 pages

RR 00-03 CRESCENZO P PAQUELIN J-L

ldquoInfeacuterence de type et langages agrave objets de classesrdquo Rapport de Recherche I3SRR--2000-03--FR Feacutevrier 2000 10 pages

RR 00-04 PRONZATO L

ldquoExperimental design with random regressors at the design stagerdquo Research Report I3SRR--2000-04--FR March 2000 13 pages

RR 00-05 CAPOUILLEZ A CHIGNOLI R CRESCENZO P LAHIRE P

ldquoModeling hypergeneric relationships between types in XMLrdquo Research Report I3SRR--2000-05--FR March 2000 9 pages

RR 00-06 ANDREacute C PEacuteRALDI-FRATI M-A

ldquoBehavioral Specification of a Circuit using SyncCharts A Case Studyrdquo Research Report I3SRR--2000-06--FR March 2000 9 pages

RR 00-07 CAPOUILLEZ A CHIGNOLI R CRESCENZO P LAHIRE P

ldquoTowards a More Suitable Class Hierarchy for Persistent Object Managementrdquo Rapport de Recherche I3SRR--2000-07--FR Mai 2000 9 pages

RR 00-08 PRONZATO L THIERRY E

ldquoA Minimum-Entropy Estimation for Regression Problems with Unknown Distribution of Observation Errorsrdquo Research Report I3SRR--2000-08--FR June 2000 14 pages

RR 00-09 GRELLIER O COMON P

ldquoAnalytical Blind Channel Identificationrdquo Research Report I3SRR--2000-09--FR June 2000 25 pages

RR 00-10 CAPOUILLEZ A CHIGNOLI R CRESCENZO P LAHIRE P

ldquoHyper-geacuteneacutericiteacute pour les langages agrave objets le modegravele OFLrdquo Rapport de Recherche I3SRR--2000-10--FR Septembre 2000 16 pages

RR 00-11 ANDREacute Ch

ldquoSynchronous Interface Behabior - Syntax and Semanticsrdquo Rapport de Recherche I3SRRmdash2000-11mdashFR Deacutecembre 2000 17 pages

RR 00-12 PRONZATO L THIERRY E

ldquoSequential Experimental Design and Response Optimisationrdquo Rapport de Recherche ndeg I3SRR--2000-12--FR Deacutecembre 2000 12 pages

RR 00-13 JEHAN-BESSON S BARLAUD M AUBERT G

ldquoEulerian Region-Based Active Contours for Segmentation and Tracking of Non-Rigid Video Objectsrdquo Rapport de Recherche ndeg I3SRR--2000-13--FR Deacutecembre 2000

LABORATOIRE I3S Les Algorithmes Euclide B ndash 2000 route des Lucioles ndash BP 121

06903 Sophia Antipolis Cedex ndash Teacutel (33) 492 942 701 ndash Teacuteleacutecopie (33) 492 942 898 httpwwwi3sunicefrI3SFR Pour tout renseignement srsquoadresser agrave Micheline Hagneacutereacute Teacutel (33) 492 942 704 ndash email mhi3sunicefr

RR 00-14 MUHAMMAD W RIX H MESTE O LIEBERT A

ldquoModeacutelisation du Test drsquoOcclusion en Doppler-Laserrdquo Rapport de Recherche ndeg I3SRR--2000-14--FR Deacutecembre 2000 7 pages

RR 00-15 MUHAMMAD W MESTE O RIX H

ldquoComparison of Single and Multiple Time delay Estimators Application to Muscle Fiber Conduction Velocity Estimationrdquo Research Report I3SRR-2000-15--FR December 2000 30 pages

RR 01-01 MIRBEL I DE RIVIEgraveRES V

ldquoUML ad-hoc une deacutemarche modulable drsquoanalyserdquo Rapport de Recherche I3SRR-2001-01--FR Janvier 2001

RR 01-02 FARREacute J FORTES GALVEZ J

ldquoBounded-Connect Noncanonical Discriminating-Reverse Parsingrdquo Research Report I3SRR--2001-02--FR March 2001

RR 01-03 FORTEgraveS GALVEZ J FARREacute J

ldquoGeneralized e-Skip Discriminating-Reverse Parsing on Graph-Structured Stackrdquo Research Report I3SRR--2001-03--FR March 2001

RR 01-04 CAPOUILLEZ A CRESCENZO P LAHIRE P

ldquoOFL lrsquoHyper-Geacuteneacutericiteacute au service du Meacuteta-Programmeur Application agrave Javardquo Rapport de Recherche I3SRR--2001-04--FR March 2001 12 pages

RR 01-05 MIRBEL I DE RIVIEgraveRES V

ldquoTowards a UML Profile for Building on Top of an Existing Applicationrdquo Research Report I3SRR--2001-05--FR March 2001

RR 01-06 CRESCENZO P

ldquoOFL les relations et descriptions drsquoEiffel et de Javardquo Rapport de Recherche I3SRR--2001-06--FR Avril 2001 24 pages

RR 01-07 CAPOUILLEZ A CRESCENZO P LAHIRE P

ldquoSeparation of Concerns in OFLrdquo Research Report I3SRR--2001-07--FR Avril 2001 9 pages

RR 01-08 FRANCISCI D

ldquoData Mining et Algorithmes Eacutevolutionnairesrdquo Rapport de Recherche I3SRR--2001-08--FR Mai 2001 46 pages

RR 01-09 FARREacute J FORTEgraveS GALVEZ J

ldquoBounded-Connect Noncanocical Discriminating-Reverse Parsingrdquo Research Report I3SRR--2001-09--FR March 2001 13 pages

RR 01-10 FORTEgraveS GALVEZ J FARREacute J

ldquoGeneralized e-Skip Discriminating-Reverse Parsing on Graph-Structured Stackrdquo Research Report I3SRR--2001-10--FR March 2001 9 pages

RR 01-11 MICHEL C RUEHER M LEBBAH Y

ldquoGraphical user Interfaces with Biglookrdquo Research Report ndeg I3SRR--2001-11--FR Septembre 2001 16 pages

LABORATOIRE I3S Les Algorithmes Euclide B ndash 2000 route des Lucioles ndash BP 121

06903 Sophia Antipolis Cedex ndash Teacutel (33) 492 942 701 ndash Teacuteleacutecopie (33) 492 942 898 httpwwwi3sunicefrI3SFR Pour tout renseignement srsquoadresser agrave Micheline Hagneacutereacute Teacutel (33) 492 942 704 ndash email mhi3sunicefr

RT 01-12 SERRANO M Ed

ldquoSCHEME 2001 - Workshop Proceedings - Second Workshop on Scheme and Functional Programming September 2 2001 Florence Italy Technical Report ndeg I3SRT--2001-12--FR Septembre 2001 73 pages

RR 01-13 GALLEacuteSIO E SERRANO M

ldquoGraphical user Interfaces with Biglookrdquo Research Report ndeg I3SRR--2001-13--FR Septembre 2001 38 pages

RR 01-14 JEHAN-BESSON S BARLAUD M AUBERT G

ldquoDREAM2S Deformable Regions driven by an Eulerian Accurate Minimization Method for image and video Segmentationrdquo Rapport de Recherche ndeg I3SRR--2001-14--FR Novembre 2001 38 pages

RR 01-15 COLLET P

Fiabiliteacute des systegravemes agrave objets persistants les assertions persistent Rapport de Recherche ndeg I3SRR--2001-15--FR Janvier 2001 16 pages

RR 01-16 COLLET P ldquoOn Contract Monitoring for the Verification of Component-Based Systems Rapport de Recherche ndeg I3SRR--2001-16--FR Octobre 2001 5 pages

RR 01-17 COLLET P ldquoFunctional and Non-Functional Contracts Support for Component-Oriented Programming Rapport de Recherche ndeg I3SRR--2001-17--FR Octobre 2001 3 pages

mh
I3SRR--2001-14--FR

httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf

Document seacutecuriseacute incorporeacute

Le fichier httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf est un document seacutecuriseacute incorporeacute dans le preacutesent document Cliquez deux fois sur le bouton pour lafficher

httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf [27062002 110813]

LABORATOIRE

INFORMATIQUE SIGNAUX ET SYSTEgraveMESDE SOPHIAANTIPOLIS

UMR 6070

DREAM2S DEFORMABLE REGIONS DRIVEN BY ANEULERIAN ACCURATE M INIMIZATION METHOD FOR

IMAGE AND VIDEO SEGMENTATION

Stephanie JEHAN-BESSON Michel BARLAUD Gilles AUBERT

Projet CREATIVE

RapportderechercheI3SRRndash2001-14ndashFR

novembre 2001

LABORATOIRE I3S LesAlgorithmes EuclideB ndash 2000routedesLuciolesndash BP 121ndash06903Sophia-Antipolis Cedex Francendash Teacutel (33) 492942701ndash Teacuteleacutecopie (33) 492942898

httpwwwi3sunicefrI3SFR

REacuteSUMEacute

MOTS CLEacuteS Contours actifsbaseacutes reacutegions optimisation de domaine segmentation non superviseacutee deacutetection de visage deacuteter-minant dela matricedecovariance

ABSTRACT Originally active contours wereboundary-basedmethods They weredriven towardstheedgesof animagefromtheminimization of a criterionwith only boundary-basedtermsThemainpurposeof region-basedactive contours is to maketheactivecontour evolveusinginformationontheregionsin addition to theclassicalboundary-basedinformation

We proposeherea generalEulerian framework for region-basedactive contours namedDREAM2SWe introducea generalcriterion includingbothregion-basedandboundary-basedtermswheretheinformationontheregionsis embeddedin afunctionnameddescriptor Theoriginality of thiswork is twofold Firstly weproposeto useshapeoptimization principlesto computetheevolution equationof theactivecontour thatwill makeit evolveasfastaspossibletowardsaminimumof thecriterionSecondlywe take into account thevariationof thedescriptors during thepropagationof thecurve Indeed a descriptor maybegloballyattachedto the region andthusregion-dependentIt happens whenstatisticalfeatures of a region like for example the meanor thevariance of a region areselectedasdescriptors We show that thedependenceof thedescriptors on the region inducesadditional termsin theevolution equationof theactive contour thathave not beenpreviously computed DREAM2S gives aneasyway to takesuchadependenceinto account andto computetheresultingadditional terms

Experimental resultspoint out the importanceof the additional termsto reacha true minimum of the criterion andso toconverge on accurate results The covariancematrix determinant appears to be a very relevant tool for homogeneous colorregionssegmentationAs anexample it hasbeensuccessfullyappliedto facedetectionin realvideosequences

KEY WORDS Region-basedactivecontoursshapeoptimizationunsupervisedsegmentationfacedetection covariancematrixdeterminant

13 $ amp()+$-0123(4-5766-398( 1 lt=98ampgt8BA(0)CD ampE()gt+F)-0-amp=$8B98amp

GBHBIJLKMNPOQRJTSPJUMNPOWV4XFJUYZY[]ONPO^`_aQcbdMeJUfgXNihfcNPj^kBlnmodpqldrsodtupwvyx z|~B9iZ]nn pqodUrvFLv ke~tRo|v n|L zio UtclF9~rRt o| tuBpwldi4v vld~cmldp ldZP=tRz|U~tR v p QsfcfRJUY iexcljcent=JLh HkBlnmodpqldrsodtupwvFpoundcurren0]yenamptsv nod$brvbarv 9BiZPampUsect9lpwTumll| pqodvnncopynordf tc4v-vwLvwlaquo Bpwldi4vnot ldm4v p r=shyldrreg~Utc4v p

macrdegWplusmn5sup25sup3Zacuteimicro|sup2|para7middotcedilsup1ordm|sup1raquo~frac14dfrac12frac12currenfrac34Liquestefrac14dAgrave Aacutesup1Acirc|Atilde(Agrave5Auml|raquoLAacuteAuml|AringcedilAElig$CcedilEgraveAtildecedilAtilde(EacutePAumldAring~raquoiEcircfrac14cedilwfrac34UEumlsEacuteifrac14AEligwAtildeEcircIacuteIgrave(AtildeAacuteIcircAumlUEcircAElig5IumlETHEgraveIcirc~Atilde frac34TCcedil=AtildecedilAtildeEcirccedilsup1AcircnAtilde5raquoNtildeAacuteAumlZCcedilEgravefrac14cedil4EcircAElig=AacuteIcirc~AtildegAtildeEcircordm|Atilde5AEligEgraveAumlOgravefrac14draquosup1Igravefrac14dordm|AtildegOgraveregcedilAumldIgraveOacuteAacuteIcircAtildeIgrave(sup1raquosup1Igrave(sup1Ocircfrac14ZAacutesup1Auml|raquo(AumldOgravefrac14yAgravecedilsup1currenAacuteAtildecedilsup1Auml|raquo(Ccedilgsup1currenAacuteIcircAuml|raquo~frac12currenfrac34EacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircOtildeAacuteAtildecedilIgrave(AElig5IumlETHEgraveIcirc~Atilde(Igravefrac14sup1raquotimesOuml~AringcedilOumlPAuml|AEligwAtildeAumlOgraveEgravecedilAtilde5ordmdsup1AumldraquoEumlsEacuteifrac14AEligwAtildeEcircOslashfrac14dAgrave Aacutesup1Acirc|AtildeAgrave5Auml|raquoLAacuteAumldAringcedilAEligysup1AEligyAacuteAumliexclAacuteAumlIgravefrac14dUgravenAtilde9AacuteIcirc~Atildefrac14dAgraveAacutesup1AcircnAtilde$Agrave5AumldraquoLAacuteAuml|AringcedilgAtildeAcircnAuml|frac12AcircnAtildeampAringAEligwsup1raquo~ordmFsup1raquoOgraveuAumldcedilIgravefrac14ZAacutesup1Auml|raquoUacuteAumldraquoiexclAacuteIcirc~AtildecedilAtilde5ordm|sup1Auml|raquoAElig5iquestisup1raquoUacutefrac14dEcirc~Ecircsup1Aacutesup1AumldraquoiexclAacuteAumlNtildeAacuteIcircAtildeAgrave5frac12frac14dAEligwAEligwsup1Agravefrac14frac12WEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircsup1raquoOgraveregAumldcedilIgravefrac14Aacutesup1AumldraquoIuml

Ucirc Atilde$OumlcedilAumldOumlPAuml|AEligwAtildeyIcirc~Atilde cedilAtildeyfrac14ordm|Atilde5raquoAtildecedil4frac14dfrac12BUumlAringfrac12Atilde cedilsup1Yacutefrac14raquoUacuteOgraveregcedil4frac14Igrave(AtildeCcedilEgraveAumlcedilUgraveiexclOgraveuAumlcedilcedilAtildeordm|sup1Auml|raquoEumlEacute~frac14dAEligwAtildeEcircOtildefrac14AgraveAacutesup1AcircnAtildeyAgrave5Auml|raquoLAacuteAumldAringcedilAEligraquoifrac14Igrave(AtildeEcircIacuteTHORNampszligUumlagraveampaacuteOtildeacirc5atildePIuml Ucirc Atilde(sup1raquoLAacutewcedilAumlUEcircAringAgrave5Atildefrac14aumlordmdAtilde5raquo~Atilde cedil4frac14dfrac12EgraveAgravecedilsup1currenAacuteAtildecedilsup1Aumldraquoiquestesup1raquo~Agravefrac12Aring~Ecircsup1raquo~ordmaumlEacutePAumlAacuteIcirctimescedilAtilde5ordm|sup1AumldraquoEumlsEacuteifrac14AEligwAtildeEcircfrac14draquo~EcirctimesEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircTAacuteAtildecedilIgrave(AElig5iquestBCcedilgIcircAtildecedilAtildeAacuteIcircAtilde(sup1raquoOgraveuAumlcedilIgravefrac14Aacutesup1Auml|raquoaringAumldraquoaeligAacuteIcirc~Atilde(cedilAtilde5ordm|sup1Aumldraquo~AEligFsup1AEligNtildeAtilde5IgraveFEacutePAtildeEcircEcircAtildeEcircTsup1raquofrac14OgraveregAring~raquo~Agrave Aacutesup1AumldraquoIacuteraquo~frac14dIgrave(AtildeEcircccedilqEcircAtilde5AEligwAgravecedilsup1OumlAacuteAumlcedilegraveIumlBETHEgraveIcirc~AtildeAumlcedilsup1ordm|sup1raquoifrac14frac12sup1currenAacutefrac34aeligAumldOgrave-AacuteIcirc~sup1AEligampCcedilEgraveAumlcedilUgraveaumlsup1AEligampAacuteCcedilEgraveAumlOgraveuAuml|frac12Ecirc]IumlWeacuteWsup1currencedilAEligqAacutefrac12currenfrac34LiquestCcedil=AtildeOumlcedilAumldOumlPAuml|AEligwAtildeyAacuteAumlAringAEligwAtildeNtildeAEligwIcirc~frac14dOumlPAtilde0Auml|OumlAacutesup1Igrave(sup1Ocircfrac14ZAacutesup1Auml|raquoaumlOumlcedilsup1raquo~Agravesup1Oumlfrac12Atilde5AEligAacuteAumlAgrave5AumldIgrave(Ouml~AringAacuteAtildeampAacuteIcircAtildeNtildeAtildeAcircnAuml|frac12AringAacutesup1AumldraquoTAtilde5ecircUAring~frac14Aacutesup1Auml|raquoOtildeAumlOgraveAacuteIcirc~Atilde9frac14dAgrave Aacutesup1Acirc|AtildeAgrave5AumldraquoLAacuteAuml|AringcedilAacuteIcircifrac14ZAacute=Ccedilgsup1frac12frac12PIgravefrac14dUgravenAtildegsup1currenAacute-Atilde5AcircnAuml|frac12AcircnAtildefrac14dAEligOgraveRfrac14AEligqAacutegfrac14dAElig-OumlPAuml|AEligwAEligwsup1Eacute~frac12AtildeAacuteAumlCcedilEgravefrac14cedil4EcircAEligEgravefrac14yIgrave(sup1raquosup1IgraveNtildeAring~IgraveeumlAumlOgraveAacuteIcirc~AtildeAgravecedilsup1currenAacuteAtildecedilsup1Auml|raquoIumliatildeAtildeAgrave5Auml|raquo~Ecircfrac12currenfrac34LiquestLCcedilEgraveAtildeampAacute4frac14UgravenAtildesup1raquoLAacuteAumlfrac14Agrave5Agrave5Auml|AringraquoLAacuteAacuteIcirc~AtildeampAcircdfrac14cedilsup1frac14Aacutesup1AumldraquoAumldOgraveBAacuteIcirc~Atilde$EcircAtilde5AEligwAgravecedilsup1OumlAacuteAumlcedilAEliggEcircAringcedilsup1raquoordmAacuteIcirc~Atilde$OumlcedilAuml|Oumlifrac14ordmnfrac14ZAacutesup1AumldraquoaumlAumldOgraveAacuteIcirc~AtildeyAgrave5AringcedilAcircnAtilde|IumligraveiacuteraquoiEcircAtilde5AtildeEcirc]iquestPfrac14(EcircAtildeAEligwAgravecedilsup1OumlAacuteAumldcedilIgravefrac145frac34EacutePAtildeyordmdfrac12AumldEacuteifrac14frac12frac12currenfrac34aumlfrac14ZAacutewAacute4frac14dAgrave4Icirc~AtildeEcircAacuteAumlAacuteIcircAtildecedilAtilde5ordm|sup1AumldraquoFfrac14raquoiEcircAacuteIcircUAring~AElig5iquestPccedilscedilAtilde5ordm|sup1AumldraquoEumlEcircAtilde5OumlPAtilderaquoiEcircAtilderaquoUAacuteegraveIumlZigraveAacuteIcircifrac14Ouml~OumlPAtilde5raquoAEligCcedilgIcirc~Atilderaquo0AEligqAacute4frac14ZAacutesup1AEligqAacutesup1Agrave5frac14dfrac12LOgraveuAtildefrac14ZAacuteAringcedilAtilde5AEligBAumldOgrave~frac14gcedilAtilde5ordmdsup1Auml|raquoiquestfrac12sup1Ugrave|AtildeFOgraveuAumlcedilFAtildeicircfrac14Igrave(Ouml~frac12AtildeNtildeAacuteIcircAtilde(Igrave(Atildefrac14draquoTAumldcedilyAacuteIcirc~AtildeFAcirc|frac14Zcedilsup1Yacutefrac14raquo~Agrave5Atilde(AumlOgrave9frac14iexclcedilAtilde5ordmdsup1AumldraquoiquestBfrac14cedilAtilde(AEligwAtilde5frac12Atilde5Agrave AacuteAtildeEcircOslashfrac14dAElig0EcircAtildeAEligwAgravecedilsup1OumlAacuteAumldcedilAElig5IumlUcirc AtildeAEligwIcircAumlCcedilAacuteIcirc~frac14AacuteyAacuteIcirc~AtildeEcircAtilde5OumlPAtilde5raquoiEcircAtilde5raquo~AgraveAtilde(AumldOgraveAacuteIcirc~AtildeEcircAtilde5AEligwAgravecedilsup1OumlAacuteAumlcedilAEligNtildeAumldraquotimesAacuteIcirc~AtildecedilAtildeordm|sup1Auml|raquoOslashsup1raquoiEcircAring~Agrave5AtildeAEligNtildefrac14dEcirc~Ecircsup1Aacutesup1Aumldraquoifrac14dfrac12AacuteAtildecedilIgrave(AElig=sup1raquoAacuteIcirc~AtildeAtilde5AcircnAuml|frac12AringAacutesup1AumldraquoAtildeecircLAring~frac14Aacutesup1Auml|raquoAumldOgraveAacuteIcirc~Atildeampfrac14AgraveAacutesup1AcircnAtildeampAgrave5AumldraquoLAacuteAuml|Aringcedil=AacuteIcircifrac14AacuteEgraveIcircifrac14AcircnAtilderaquoAumldAacuteEacutePAtildeAtilde5raquoiexclOumlcedilAtilde5AcircUsup1Auml|Aring~AEligwfrac12currenfrac34Agrave5Auml|Igrave(OumlAringAacuteAtildeEcirc]IumlTHORNampszligUumlagraveampaacuteOtildeacircatildeIacuteordm|sup1AcircnAtilde5AEligFfrac14draquoaeligAtilde5frac14dAEligqfrac34aeligCcedilEgravefrac14frac34TAacuteAumlUacuteAacute4frac14dUgrave|AtildeAEligwAringAgrave Icircaeligfrac14OtildeEcircAtilde5OumlPAtilde5raquo~EcircAtilde5raquoAgrave5Atilde(sup1raquoLAacuteAumlaumlfrac14dAgrave5Agrave5AumldAring~raquoLAacutefrac14draquo~EcircAacuteAumlAgrave5AumldIgrave(Ouml~AringAacuteAtildeAacuteIcirc~AtildecedilAtilde5AEligwAring~frac12currenAacutesup1raquo~ordmfrac14dEcirc~Ecircsup1currenAacutesup1Auml|raquo~frac14dfrac12]AacuteAtildecedilIgrave(AElig5Iuml

UumlicircOumlPAtildecedilsup1Igrave(Atilde5raquoLAacute4frac14dfrac12LcedilAtilde5AEligwAringfrac12currenAacuteAElig-OumlPAumldsup1raquoLAacute-Auml|AringAacuteAacuteIcircAtildesup1Igrave(OumlPAumldcedilwAacute4frac14draquoAgrave5AtildeAumldOgravePAacuteIcircAtildegfrac14|EcircEcircsup1currenAacutesup1Auml|raquoifrac14frac12AacuteAtildecedilIgrave(AEligeAacuteAumlcedilAtilde5frac14dAgrave4Icircfrac14AacutewcedilAring~Atilde-Igrave(sup1raquosup1IgraveFAring~IgraveAumlOgraveiAacuteIcirc~Atilde-Agravecedilsup1currenAacuteAtildecedilsup1Auml|raquo(frac14raquoiEcircyAEligwAumlAacuteAumlAgraveAuml|raquoUAcircnAtildecedilordmdAtildeEgraveAuml|raquoNtildefrac14dAgrave5AgraveAringcedil4frac14AacuteAtildeEgravecedilAtildeAEligwAring~frac12currenAacuteAElig5IumldETHEgraveIcirc~AtildeEgraveAgrave5AumlZAcircdfrac14cedilsup1frac14draquoAgrave5AtildeIgravefrac14Aacutewcedilsup1currenicirc0EcircAtilde AacuteAtildecedilIgrave(sup1raquoifrac14draquoLAacutefrac14Ouml~OumlPAtildefrac14ZcedilAEligeAacuteAumlEacutePAtildefrac14Acirc|Atildecedilwfrac34$cedilAtilde5frac12Atilde5Acircdfrac14draquoLAacuteeAacuteAumlLAuml|frac12UOgraveuAumlcedil-IcircAuml|Igrave(Aumldordm|Atilde5raquoAtilde5Auml|AringAEligeAgrave5Auml|frac12AumldcedilcedilAtilde5ordmdsup1Aumldraquo~AEligAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquoIumlagrave9AEligampfrac14raquoIacuteAtildeicircfrac14Igrave(Ouml~frac12Atilde|iquestPsup1currenAacute$Icirc~frac14dAEligampEacutePAtilde5AtilderaquoIacuteAEligwAringAgrave5Agrave5Atilde5AEligwAEligqOgraveregAring~frac12frac12currenfrac34Tfrac14dOuml~Oumlfrac12sup1Atilde5EcircaumlAacuteAumlOgraveRfrac14Agrave5Atilde(EcircAtilde AacuteAtilde5AgraveAacutesup1Auml|raquoTsup1raquocedilAtildefrac14dfrac12AcircUsup1EcircAtilde5AumlAEligwAtilde5ecircUAringAtilde5raquo~AgraveAtilde5AElig5Iuml

iumlethUntildeograve0oacute sup3ocircWplusmn|otildeszligAtildeordm|sup1Auml|raquoEumlEacute~frac14dAEligwAtildeEcircaringfrac14AgraveAacutesup1AcircnAtildeiexclAgraveAuml|raquoLAacuteAuml|AringcedilAElig5iquestAEligwIcircifrac14dOumlPAtildeiexclAuml|OumlAacutesup1Igrave(sup1Ocircfrac14ZAacutesup1Auml|raquoiquestWAring~raquo~AEligwAringOumlPAtildecedilAcircUsup1AEligwAtildeEcircOslashAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoiquestUOgraveRfrac14dAgraveAtildeyEcircAtildeAacuteAtilde5Agrave Aacutesup1Aumldraquoiquest~Agrave5AumlZAcirc|frac14Zcedilsup1Yacutefrac14raquo~Agrave5Atilde$Igravefrac14ZAacutewcedilsup1currenicircEcircAtildeAacuteAtildecedilIgrave(sup1raquoifrac14raquoLAacuteIuml

Agraveoumloslashdividedugrave|ugraveUuacute 9v vwldpq4Uacute9vop r-g nncopy copyucirc x z|iB9aumlio UtclF9~rRt o| tug]pwldi v

uumlnyacute|thornLyuml13

$amp)(+-)013021+345627893lt=gt9A6CBDFEHGIKJLMONQPltRSJT2MgtI

b H QVUPJOslashbn[]O H []jhYOtildeNihZJaeligKEgrave[WFJLhYXiacutejf H [B[]fcY5Xiacute[PhUacuteQCZaringN[PJOslashNPO^UBQc^JL[YZJ[]ZOslashJUO H N H Qc[]OO^G QsObnJ H MeJ[PhQV[]QcONPf_WF[PhY` []O YZON`PJUYbacaumlNPYZYaJ H NPfd^VegfhSiSi]jeiexclNPO Jk H JUOYQVUPJhZJUYZJUNihbMMNPYaeligcent=JLJUO7KEgraveJLhYXiacute[PhlZOslashJU^ H MN H fRJUNP^Y H [B^Nm H [ H MJjYJ[SXon5hJ[]QR[]OWVcentNPYZJU^NPb H QVUPJTbn[]O H []jehYYp^q hQV[]QcONPfsfVmSeNPb H QVUPJ bn[]O H []jehdYWFJLhZJ centEgrave[]jO^NihYmVcentNPYJU^bZOslashJ H Me[W^Yoaq jecentEgraveJLh HNPO^rcOtilde[PhdOeKhZ[PcentY H e sSs fj^ G ON`PJUYtacaumlNPYZYaeligJ H NPfd^VeufhSiSi]jeycent-NPfcfR[B[]OYoa)v[]MeJUOOefhShfj[Phw[PJL[W^eJUYZQcbNPb H QVUPJbn[]O H []jehdYxa)vNPYZJUfcfRJUY J H NPfd^VeyfhSh]zSj`NihZJOacute^hQVUPJUOH [WFNih^Y H MeJ JU^[PJUY [SXOtildeNPOQZaringN[PJS^|MeJ JUP[]fcj H QR[]OJjN H Qc[]O QcYOslashbn[]ZOslashK-j H JU^XiacutehZ[]ZNaumlbnhQ H JLhQR[]O H MN H []OfVmtimesQsObLfcj^eJUYNaumlfR[WbLNPfQcOFX[PhlZ N H QR[]Otimes[]O H MeJ(centEgrave[]jO^NihYm[SX H MeJauml[Pcent~JUb HH [ YZJ[]ZOslashJUO H ^MeJt`PJmQc^eJUNOacute[SXOtildehZJ[]QR[]OWVcent-NPYJU^ NPb H QVUPJeumlbn[]O H []jehYehY H fVmKh[PK=[]YZJU^ centma)vF[]MJUOTJ H NPfd^VefhShS[]OXqNih^OefhShje]QsY H [OtildeQcO H hZ[B^jbnJ0N_[]fR[PcentNPfBQcOXiacute[PhlZaringN H QR[]O[]O H MeJIacute^QV=JLhZJUO H hZJ[]Qc[]OY H [ YJ[]ZOslashJUO H QcOaNP^^Q H QR[]O H [ H MeJIacutecent=[]jO^NihYmVcentNPYJU^QcOFX[PhlZ N H QR[]OOe H [_ZaringN`PJ H MeJNtildeNPb H QUPJNtildebn[]O H []jehJUP[]fUPJS^iexcl[WFJUPJLhePQ H QcYgO[ H9H hQVUWQcNPfH [timesbn[]ZOslashKj H J H MeJJUP[]fcj H QR[]OaringJBjN H QR[]O [SX H MeJiexclNPb H QVUPJUacutebn[]O H []jeh H MN H WQcfsfZaringN`PJQ H JUP[]fUPJ H [WFNih^Y0NyZ QcOQZtimesjFZ[SXNTbnhQ H JLhdQR[]OOslashQcObLfcj^QcO[centEgrave[ H MOslashhZJ[]QR[]OWVcent-NPYJU^NPO^centEgrave[]jO^NihYmVcentNPYJU^ H JLhlZaringY^JUbnJUO H fmSeZaringNPOm KNiKEgraveJLhY MNUPJeumlNP^^ehZJUYYJU^ H MQsYOslashKhZ[PcentfcJZ^0 hZJUWQRJW [SXH MeJUYZJrZaringJ H Me[B^Y QsY`KhZ[PKEgrave[]YJU^1QcO G JUb^ ^ G []ZOslashJ[SX H MeJUYZJxWF[PhY`WY^e[ Oe[ Hbn[]ZOslashK-j H J H MeJ H MeJL[PhZJ H QcbLNPfJkWKhZJUYZYZQc[]O[SX H MeJUPJUfR[BbLQ H mUPJUb H [PhOtilde[SX H MeJtimesNPb H QVUPJbn[]O H []jehcentj H H MeJm bdMe[[]YZJ H MeJ ^QcYKfcNPbnJZaringJUO H H MN H WQcfcf_ZaringN`PJ H MeJbnhQ H JnVhQc[]O ^JUbnhZJUNPYJa)vMN`hNicentEgrave[Ph H m J H NPf)^VefhShSvMeJUYONPj^ J H NPfd^VefhShSh]j^ qH MeJLhWF[PhY`WYKh[PK=[]YZJ H MeJIacutebn[]ZaringKj H N H QR[]O`[SX H MeJUPJUfR[BbLQ H mUPJUb H [PhOtildecentm hZJU^jbLQcOF[ H MeJWM[]fRJOacuteKh[PcentfRJZ H [ centEgrave[]jO^NihYm QcO H J[PhdNPfcYxa)MjNPO^0jQcfcfcJSeyfhShSgampNihN~V[]QR[]Y`NPO^JLhQsbMeJSefhShSh]j[Ph`centm jYQcO[ H MeJ7fRJUPJUfTYJ H ZOslashJ H Me[W^a G NSZ Y[]OJ H NPf)^Ve sSsSs Ov(MNPONPO^$JUYZJSe sSs fj^OMeJm H MeJUOjYZJ H MeJyNtildejfRJLhVAN[PhNPO[PJJBjN H QR[]OY H [ bn[]ZOslashKj H J H MJaumlJUP[]fcj H QR[]OJjN H Qc[]OO^iexcl[WFJUPJLhe H MeJOtildeQcOXiacute[PhlZaringN H QR[]O []O H MeJauml^Q=JLhJUO H hZJ[]QR[]OYe H MN H WNtildeJaumlbLNPfsfMeJLhZJn^eJUYbnhQRK H [Phlp [SX H MeJIacutebn[PhhZJUYKEgrave[]O^QcOF[aringhZJ[]QR[]OOeKZaringNmacent=Jy[]fR[PcentNPfcfVm N HH NPbdMeJU^ H [H MeJ(hJ[]QR[]OO^S5O^eJLJU^OslashQ H [WbLbLjehYXiacute[Ph0Y H N H QcY H QcbLNPf^eJUYZbnhdQRK H [PhYampYZjbdMaringNPY H MeJ_ZOslashJUNPOOeH MeJUiNihQcNPObnJ[Ph H MJMQcY H [S[PhNSZ [SX H MeJ hZJ[]QR[]O^Q5O bLNPYJ [SXUacutejOYZjK=JLhlUBQcYZJU^YJ[]ZaringJUO H N H QR[]Oe H MeJUYZJ ^eJUYZbnhdQRK H [PhYIacuteNihZJ hZJnVJUiNPfcjN H JU^JUNPbM H QZaringJ H MeJ NPb H QVUPJbn[]O H []jehJUP[]fVUPJUYiexclNPO^aY[ H MeJmU~Nihlm^jehQcO[ H MeJIacuteKhZ[PKN[]N H Qc[]O[SX H MeJtimesNPb H QVUPJbn[]O H []jeh^yhZJUWQR[]jYWF[PhY`BYIacute[]O7hZJ[]QR[]OWVcent-NPYJU^NPb H QUPJbn[]O H []jehYaelig^e[eumlOe[ HIacuteH N`PJQcO H [ NPbLbn[]jO HaumlH MQcYKEgrave[]YZYZQRcent-fRJyUiNihQcN H QR[]Oeuml[SX H MeJaring^eJUYbnhQRK H [PhY H [bn[]ZOslashK-j H J H MeJJUP[]fcj H QR[]OJjN H QR[]O[SX H MeJTNPb H QVUPJIacutebn[]O H []jeh^ JTKhZ[PKEgrave[]YJaumlMeJLhZJaumlN[PJUOeJLhNPfNtildejfRJLhQcNPOoXiacutehNSZOslashJWF[PhY`X[PhhZJ[]QR[]OWVcentNPYZJU^NPb|V

H QVUPJbn[]O H []jehY`ONSZOslashJU^ iexcl_0 Uacute_wcent G aiexclJXiacute[PhlZaringNicent-fRJpoundJ[]QR[]OYa^ehQUPJUO centm NPONtildejfRJLhQcNPO iexclbLbLjhN H JT_aQsOQZaringQVcurrenUN H Qc[]O _aJ H Me[W^X[Ph G J[]ZOslashJUO H N H QR[]Ogtj^gtMeJiexclZaringNPQcObn[]O H hQRcentj H QR[]O[SXy[]jh_WF[PhY`aQcY H [centjQcfs^ N H MJL[PhZJ H QcbLNPfQXhdNSZOslashJWNtilde[Phl`centNPYJU^`[]O

uumlnyacute|thornLyuml13

yenKbrvbarsect =4 acirc $ YZMNiK=JT[PK H QZaringQVcurrenUN H Qc[]OKhQsObLQRKfRJUY^ Q H M YZjbM`NPO`NiKKhZ[]NPbMegtWFJIacutebLNPO hZJUNP^QsfVmH N`PJ7QcO H [ NPbLbn[]jO H`H MeJpoundUiNihQcN H QR[]O [SX H MJOacute^eJUYZbnhQcK H [PhY H MN H NihJpound[]fR[PcentNPfcfmN HH NPbdMeJU^ H [ H MeJUacuteJUP[]fVUWQcO[timeshZJ[]QR[]OYgaqbLNPfsfRJU^ hZJ[]QR[]OWV4^eJLKEgraveJUO^JUO H ^eJUYZbnhQcK H [PhYj^ JOtildeYZMe[W H MN HH MeJiexclU~NihQsN H QR[]O [SX9hZJ[]QR[]OWV4^eJLKEgraveJUO^JUO H ^eJUYZbnhQcK H [PhYF^jehQcOF[ H MeJJUP[]fcj H QR[]OOtilde[SX H MeJ0NPb H QUPJFbn[]O H []jehampQcO^jbnJUY9NP^^Q H QR[]ONPf H JLhlZaringY9QsO H MeJyJUP[]fcj H QR[]OJBjN H QR[]Oeuml[SX H MeJOslashNPb H QVUPJ bn[]O H []jeh^MeJUYZJaeligNP^^Q H QR[]ONPf H JLhlZaringYOtildeMNUPJaringOe[ H centEgraveJLJUOKhJUBQR[]jYZfVm bn[]ZOslashK-j H JU^uml^

G []ZOslashJNtildeJkeNSZOslashKfcJUY[SX-jOYZjeKEgraveJLhYUWQcYJU^TYKN H QcNPfBYJ[]ZOslashJUO H N H QR[]OOePjYZQsO[ H MeJcopyUiNihQuVNPObnJ [SX H MJOslashhZJ[]QR[]OYe9KhZ[UPJ H MeJ QZOslashKEgrave[Ph H NPObnJOslash[SX H MeJ NP^^Q H QR[]ONPf H JLhlZaringYordfXiacute[PhH MeJ(NPbLbLjehdNPbmIacute[SX=YJ[]ZOslashJUO H N H QR[]OOslashhZJUYZjf H Y^MeJNP^^Q H QR[]ONPf H JLhlZ YZIacutejY H O[ H centEgraveJXiacute[PhY[P[ HH JUO QcO [Ph^eJLh H [laquo[PJ HH MeJ_XqNPY H JUY H NPb H QUPJUacutebn[]O H []jeh(JUP[]fcj H QR[]O H [WNih^Y(NZaringQsOQZtimesjFZoslash[SX H MeJaumlbnhdQ H JLhQR[]OO^not QcONPfcfVmSe H MeJbn[UiNihQcNPObnJbZ N H hQk ^eJ H JLhZaringQcONPO H NiKKEgraveJUNihY H [ cent=JNrUPJLhYmhZJUfcJU~NPO HH [B[]fOX[PhMe[]ZOslash[S[PJUOeJL[]jYbn[]fR[PhiexclhZJ[]QR[]OYYZJ[]ZOslashJUO H N H Qc[]OO^gtMQcY H [[]fQcYYZjbLbnJUYZYXqjfcfVm NiKKfcQRJU^ H [XqNPbnJIacute^eJ H JUb H Qc[]O []OhZJUNPfUBQc^JL[aringYJjJUObnJUY^MeJa^eJ H NPQcfcJU^ [UPJLhYUBQcJW []O hZJ[]QR[]OeVcentNPYJU^ NiKKhZ[]NPbMJUY QsYaringKhZ[PKEgrave[]YJU^ QcOG JUb^ eshyWMQcfRJOslash[]jeh0jfRJLhdQcNPOumlXiacutehNSZOslashJWF[PhY`uml5_0 Uacute_ cent G QcYauml^JUYZbnhQRcentEgraveJU^QcO G JUb^^MQcY|XhdNSZOslashJWNtilde[Phl` QcY H MeJUONiKKfcQRJU^ H [ H MJjOYZjeKEgraveJLhYUWQcYJU^aringYJ[]ZaringJUO H N H QR[]O[SXMe[]Zaring[S[PJUOeJL[]jYIacutehZJ[]QR[]OYIacutejYZQcO[ H MJregUiNihQcNPObnJ QsO G JUb^lt`NPO^ H MeJ bn[U~NihQsNPObnJZaringN H hdQk ^eJ H JLhZaringQcONPO H QcO G JUb^gtmacr^

degEplusmnyLMgtsup2Qsup32acutemicromiddotparaJcedilJacutemicrosup1acuteIKJordmcedilIltN paraJcedilJacutewMraquo Jfrac14ltacutefrac34frac12oLJMgtIiquest acuteAgravegtT2MgtIAacutelAcirclaquocedilFAtildeacuteNAumlfrac12R]JT13Aringgtacutesup1AEligMgtIKJMgtPltLAtildeJUbnJUO H fVmSeZaringNPOmNPj H Me[PhdYtimesMNUPJKhZ[PKEgrave[]YJU^NwWNm[SXNP^^QcOF[hZJ[]QR[]OWVcent-NPYJU^H JLhlZ YQcO H MJTJUP[]fcj H Qc[]O JjN H QR[]Ow[P[UPJLhOQcOF[ NPb H QVUPJtimesbn[]O H []jehdY Xiacute[PhiexclYJ[]ZaringJUOWVH N H QR[]O QsYZYZjeJUY^QMeJ KhZ[PcentfcJZ Y H N H JZaringJUO H QsYhY H KhZJUYJUO H JU^NPO^ H MeJUO H MeJY H N H JnV[SXV H MeJnV4Nih H QcY^J H NPQcfRJU^O^ ^f^bCcedil_EgraveKEacuteltEcircgtEumlIgraveFIacuteIumlIcircETHOgraveNtildeFETHIgraveFIacute5IgraveFOacuteETHiexclJLhZJSeOcircWFJa^eJUYZbnhdQRcentEgraveJ H MJ JjN H Qc[]OYaringNP^^ehJUYZYZQcO[ H MeJ`QcYZYZjeJ[SX H MeJYJ[]ZaringJUOWVH N H QR[]O[SX NPOQCZaringN[PJxOtilde QsO H WNtilde[ hZJ[]Qc[]OY^iexclgJ H jYeuml^eJOeJrOumlcopytimesOslash H MeJhJ[]QR[]Obn[]O H NPQcOQcOF[ H MeJ[Pcent~5JUb H Y H [YZJ[]ZOslashJUO H NPO^ OumluUgraveUcircUacuteUuml H MeJeumlcentNPbY`[PhZ[]jO^ hJ[]QR[]OO^MJUQRhFbn[]ZregZOslash[]O centEgrave[]jO^NihlmaringQcY(Oe[ H JU^YacuteOcirc^F9J H jY(bn[]OYZQc^JLhNPOaNPb H QVUPJaumlbn[]O H []jhYacuteadTHORN]szligYagravejaacuteacirca2atildeadTHORN]szligYagravejszligaumlOadTHORNOgraveszligYagravejje]WMeJLhZJuTHORNuZaringNmTcentEgraveJ H MeJ(NihbNtildefcJUO[ H Mtimes[SX H MeJbn[]O H []jhNPO^umlagraveQsYOtildeNPOJUP[]fcj H QR[]OeumlK-NihNSZOslashJ H JLh^shyMeJOslashNPb H QVUPJ bn[]O H []jehIacuteNiKKhZ[]NPbMpoundZ N`PJUYYacuteadTHORN]szligYagravejJUP[]fVUPJ H MehZ[]j[]M H MeJ|Xiacute[]fcfR[WQcO[K-Nih H QcNPf^Q=JLhJUO H QcNPf]JjN H Qc[]Ooa5copyjaringaelig YacuteadTHORNOgraveszligYagravejaelig agrave aacuteegraveccedilyeacuteecircaacuteegraveeuml WQ H MigraveYacuteaagraveregaacute s j|aacuteegraveYacuteshyiacute afjWMJLhZJfrac34YacuteltiacuteaQcY NPO QsOQ H QcNPfbLjhYUPJ ^JOeJU^centm H MeJeumljYJLhNPO^egraveeacute H MeJ QsOOgraveWNih^Oe[PhZaringNPfUPJUb H [PhOtilde[SX|YacuteadTHORN]szligYagravej^MeJUPJUfR[WbLQ H mfrac34ccedil QcY^eJLhQUPJU^wXiacutehZ[]Z NZaringQsOQZaringQVcurrenUQsO[

uumlnyacute|thornLyuml13 2

$amp)(+-)013021+345627893lt=gt9A6CBbnhQ H JLhQR[]O NPO^ QsY bdMe[]YJUO Y[ H MN H H MeJ YZ[]fcj H QR[]OicircYacuteaUcirciumlVszligYagravej bn[]OUPJLhY[PJUY H [ H MeJ[Pcent~JUb H centEgrave[]jO^NihYmSeYacuteaUcirciumlethjeNPY_agraveregntildeoacuteograveicirc^5ObLfcNPYYZQcbLNPfcentEgrave[]jO^NihYmVcent-NPYJU^ZOslashJ H Me[W^Ya)v(NPYJUfcfRJUY(J H NPfd^VeshyfhSh]zg_`NPfcfcNP^QJ H NPfd^VelaquofhShSmacr]je H MeJsup1UPJUfc[BbLQ H m XqjOb H QR[]OHccedil QsY`^eJLhdQVUPJU^XiacutehZ[]ZCNPOJUOeJLhY[Smacircocirc^eJLKEgraveJUO^QcO[T[]O H MeJOtildecentEgrave[]jO^NihlmYacuteOcircaring

ocircOgraveotilde UgraveUacute OslashoumlYdivideloslashugrave aYacuteQj|aacute uacuteucircyacuteuumlgtthorn otilde)yuml THORN a jWMJLhZJ_uuml thorn otilde)yuml QcYNtildeNyXqjOb H Qc[]O ^eJUYZbnhdQRcentQcO[ H MeJiexclcentEgrave[]jO^NihYmtimes[SX H MeJiexcl[Pcent~JUb H ^vNPYZJUfcfRJUYJ H NPf_a)vNPYJUfsfRJUYaumlJ H NPfd^VefhSh]zSjIacutebM[[]YJ H MeJregXqjOb H Qc[]Obuuml thorn otilde)yuml aacuteKa ordmOtilde jyWMeJLhZJtaring s szliggograve8ntilde Otilde 13 QcYiexclN Y H hdQcb H fVm ^eJUbnhZJUNPYZQsO[XqjOb H Qc[]OaY[ H MN H a]juntilde s NPYgntildeoacuteograveicirc^SMeJFbn[]ZOslashKj H N H Qc[]OIacute[SX H MeJUPJUfc[BbLQ H mccedilicircXiacutehZ[]Z H MJFbnhQ H JLhQR[]Oa j9QsYOe[WWFJUfcfO`WOe[WiexclOsup1a)vNPYJUfsfRJUYJ H NPfd^VeltfhSh]zSjiexclNPO^`fRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[OslashJUP[]fcj H QR[]OJBjN H QR[]OOaring aelig Yacuteaelig agrave aacuteFuuml thorn otilde)yuml uuml thorn otilde)yuml eacute13eacute ad]jWMJLhZJ QcY H MeJaumlbLjehYUiN H jehZJOtilde[SXYacuteaagravej^iexcl[WFJUPJLhecent=[ H MaringhZJ[]QR[]OYOcircOumlcopytimesOslashtimesNPO^Ouml UgraveUcircUacuteUuml ZaringNmtimesMNUPJiexcl^QV=JLhZJUO H KhZ[PKEgraveJLh H QRJUYamp[SXH Jk H jehZJSeiMe[]ZOslash[S[PJUOeJUQ H mtimes[PhZaring[ H QR[]O H MN H bLNPOOe[ H cent=JQcObLfsj^eJU^aumlQcO H MeJXiacutejOb H QR[]Ouuml thorn otilde)yuml ^ G [ H MeJoZaringNPQcOOacuteKjehZKEgrave[]YJaring[SX(hJ[]QR[]OWVcentNPYJU^7NiKKh[]NPbMeJUYaeligQcY H [ QcO H hZ[W^jbnJYZjbM Nx[]fR[PcentNPfUacuteQcOXiacute[PhlZaringN H QR[]O QcO H MeJ UPJUfR[WbLQ H m XiacutejOb H QR[]Oicircccedil QcO NP^^Q H QR[]O H [H MeJeumlfR[WbLNPfiexclQsOX[PhZaringN H QR[]OKhZ[UWQc^eJU^ centm cent=[]jO^NihYmVcentNPYJU^ H JLhlZaringY^copyMeJZaringNPQcOBjeJUY H QR[]OeiQsOIacute[Phd^eJLh H [~jY H QVX2m H MeJQcO H hZ[W^jb H QR[]OIacute[SX H MJUYJ(hZJ[]QR[]O H JLhlZ Ye]QcY H [^eJLhdQVUPJ H MeJuUPJUfR[WbLQ H mlaquoXqjOb H QR[]OlaquoXiacutehZ[]ZNPOOslashJUOeJLhl[SmS^Ograve9[IacuteYJ H Nordf[PJUOeJLhNPfFXhNSZaringJWNtilde[PhY`NPO^ H [Oslashbn[]ZOslashKNihZJ H MeJUacute^QEgraveJLhZJUO H NiKKhZ[]NPbMeJUYFKh[PK=[]YZJU^ QcO H MeJUacutefcQ H JLhN H jhZJSeWFJOe[W QcO H hZ[W^jbnJ Nw[PJUOeJLhNPfNtildebnhQ H JLhQR[]ObXh[]ZigraveWMQsbM H MeJUPJUfR[WbLQ H mpoundZaringN[]OQ H j^eJZaringNmcent=JOtilde^eJLhdQVUPJU^Oaring

ocircOcircadOumlutimes OslashgtszliglOuml UgraveUcircUacuteUuml szligYYacuteQjbaacute uumlgtthorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszliglOuml UgraveUcircUacuteUuml j atilde auml $ uumlgtthorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashFj atilde aumlamp uacuteucirc uumlgtthorn otilde)yuml a2atildeltszligaumlj THORN a2jWMJLhZJyuuml thorn UgraveUcircUacuteUuml yuml QcYONSZaringJU^ H MeJwn^JUYZbnhQRK H [PhpOslash[SX H MeJaumlcentNPbl`[PhZ[]jO^ hZJ[]QR[]Oegtuuml thorn timesOslash yumlH MeJsup1n^eJUYZbnhQRK H [Phlp[SX H MeJaring[Pcent~JUb H hZJ[]Qc[]ONPO^buuml thorn otilde)yuml H MeJsup1n^eJUYZbnhQRK H [Phlp [SX H MeJbn[]O H []jeh^MJOslashhZJ[]QR[]O^eJUYZbnhdQRK H [PhYordfZaringNm`centEgraveJlaquo[]fR[PcentNPfsfVm`N HH NPbdMeJU^ H [ H MJUQRhOtildehZJnVYKEgraveJUb H QVUPJOslashhJ[]QR[]OYeOumlcopytimesOslasha[PhOuml UgraveUcircUacuteUuml e9NPO^Y[^eJLKEgraveJUO^euml[]O H MeJZ aqQVXFY[e H MeJmNihZJbLNPfcfcJU^pihJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhYYpOgravej^ H MNiKK=JUOYshyWMJUOtimesY H N H QcY H QcbLNPfXiacuteJUN~VH jehJUYg[SXNhJ[]QR[]OTfcQ`PJSeXiacute[Ph9JkeNSZOslashKfRJSe H MeJZOslashJUNPOIacute[Ph H MJ|UiNihQcNPObnJSe~NihZJNtildeYJUfcJUb H JU^NPY(hJ[]QR[]O^eJUYZbnhdQRK H [PhY^MeJ`K-jehZKEgrave[]YJ [SXIacuteNPfcfhZJ[]QR[]OeVcentNPYJU^ NPb H QVUPJOacutebn[]O H []jehYwZOslashJ H Me[W^YQcY H MeJUOH [poundZaringN`PJ H MeJaNPb H QVUPJabn[]O H []jeh JUP[]fVUPJ H [WNih^Y NeumlKNih H Q H Qc[]O[SX H MeJ`QZaringN[PJSeadOumluUgraveUcircUacuteUumlszliglOuml timesOslash szligYYacuteQje H MN H ZaringQcOQZ QVcurrenLJUY H MeJTbnhQ H JLhdQR[]Opounda2j^

uumlnyacute|thornLyuml13 (

yenKbrvbarsect =4 acirc $ macr ^ ^)+ltIgraveFEgrave-+13IgraveigraveEacute10Igrave22IcircETH313Oacute4 EgraveOIgrave54EacuteshyOacute76EcircgtNtildeltIcircIgrave8 Iacute_IgraveETH39ltEacute8QIcircshyIcirclt2Oacute4Ntilde=KETH3gt+ltIgrave=EacuteshyOacuteshyETHEacute1EgraveIcirc MQcfRJiexclNPONPfVmWYZQcO[aumlhJ[]QR[]OWVcentNPYJU^ NPb H QVUPJUacutebn[]O H []jhYNiKKhZ[]NPbdMeJUYeWNtildeJ5ZaringNm bn[]OWVYZQs^eJLh H MehZJLJyZaringNPQsO QZOslashKEgrave[Ph H NPO H K=[]QsO H Yaring MN H NihJ H MeJT^QV=JLhZJUO H ^eJUYZbnhdQRK H [PhY(jYZJU^BA iexcl[WQcY^eJLhdQVUPJU^ H MeJaumlJUP[]fcj H QR[]O JBjN H QR[]OXiacutehZ[]Z H MeJaumlbnhdQ H JLhQR[]OCA iexcl[WQcYQZaringKfRJZOslashJUO H JU^ H MeJaumlNPb H QVUPJtimesbn[]O H []jehANtildeQR[]OeJLJLhcopyWF[PhY`BY(MNUPJaumlcentEgraveJLJUO KhZ[PKEgrave[]YJU^ centma)vF[]MeJUOJ H NPfd^VefhShSgt[]OXqNih^OefhShj^5ONPOJUNihdfVmpoundWF[PhY`gte|vF[]MJUOJ H NPfd^ua)vF[]MeJUO7J H NPfd^VeufhShS]jIacuteKhZJUYZJUO H NYZjhYXiacuteNPbnJ$hJUbn[]OY H hjb H Qc[]OgZOslashJ H Me[W^TjYQcO[hZJ[]QR[]OWVcent-NPYJU^aumlNPb H QVUPJFbn[]O H []jehdY^MJmbn[]ZOslashK-j H J H MeJUPJUfR[WbLQ H mpoundUPJUb H [Phaelig[SXNPO7NPb H QVUPJ bn[]O H []jhXiacutehZ[]Z H MeJZaringQsOQZaringQVcurrenUN~VH QR[]O[SXampNOslashbnhQ H JLhdQR[]OQcObLfcj^QcO[aumlhZJ[]Qc[]OWVcentNPYJU^ H JLhZaringY^ Oe[ H MeJLh(KQR[]OJLJLhuWNtilde[PhY`MNPYaumlcent=JLJUOK=JLhlX[PhlZaringJU^QcO a[]OXqNih^OeOcircfhShj^iexclJ NPYZYJUYZYZJUY H MN HTH MeJUPJUfR[WbLQ H mXqjOb H QR[]O YZMe[]jfc^aringcent=JKhZ[PKEgrave[Ph H QR[]ONPf H [ H MeJUacute^QEgraveJLhZJUObnJ[SXgY H N H QcY H QcbLNPfXJUN H jehJUYaringccedilaacute uuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml eOgraveWMJLhZJ_uuml thorn timesOslash yuml QsY0NaumlY H N H QsY H QcbLNPfKZOslash[B^JUfe[SX H MeJ[Pcent~JUb H hJ[]QR[]ONPO^tuuml thorn UgraveUcircUacuteUuml yuml N Y H N H QcY H QcbLNPfshyZOslash[B^JUfEgrave[SX H MJaumlcentNPbY`[PhZ[]jO^ hZJ[]QR[]OO^

G []ZOslashJaumlNiKKhZ[]NPbdMeJUY(Kh[PK=[]YZJ H [ bn[]ZOslashKj H J H MeJOtildeJUP[]fsj H QR[]OJBjN H QR[]O [SX H MeJNPb H QVUPJtimesbn[]O H []jhUacutejYZQcO[ H MeJ hZJLJUOWVAiexclQRJZaringNPOO H MeJL[PhZJZ NPO^wNtildejfRJLhVAN[PhNPO[PJJBjN H QR[]OY^OEgraveMBjeumlNPO^frac340jQcfcfcJoa)EgraveMBjNPO^frac340jQcfcfcJSeltfhShS]jKhJUYJUO H NY H N H QcY H QcbLNPfXiacutehNSZOslashJWF[PhY`poundXiacute[PhOslashQZaringN[PJYJ[]ZOslashJUO H N H QR[]OjYZQsO[aNPONPfV[P[PhQ H MZbLNPfsfRJU^n5hJ[]QR[]Obn[]ZOslashKEgraveJ H Q H Qc[]OFp^MeJm^eJLhQVUPJ H MeJeumlNPb H QVUPJbn[]O H []jehJUP[]fcj H QR[]O JBjN H QR[]O centmZaringQsOQZaringQVcurrenUQsO[aringNo[PJUOeJLhNPfcQVcurrenLJU^XNmPJUYDi_wiexcl bnhQ H JLhdQR[]O`QsOYKQRhJU^centm H MeJaring_`jFZaeligVXiacute[Ph^OacuteNPO^ G MNPMJUOeJLhY[Smicircaw_ajFZX[Ph^7NPO^ G MNPMOefhSiSh]j^OcircMeJmKhZ[PKEgrave[]YJ H MeJXiacute[]fcfR[WQcO[aelig^eJUYZbnhQcK H [PhYcopyXiacute[Ph H MeJaumlYJ[]ZaringJUO H N H QR[]O`[SXampY H QcfcfQZ N[PJUYaringEFG FH uuml thorn UgraveUcircUacuteUuml yuml aacute JILK NMregaOtildeKa2atildeshyszligaumlFjPORQ UgraveUcircUacuteUuml juuml thorn timesOslash yuml aacute JILK NMregaOtildeKa2atildeshyszligaumlFjPORQtimesOslashjuuml thorn otilde)yuml aacuteTS admacr]jWMJLhZJUMrega)j9QcY9NiexclKhZ[Pcent-NicentQcfcQ H m^JUOYZQ H m5XqjOb H Qc[]OOeQshytimesNihZJ H MJNtildeKNihdNSZOslashJ H JLhY[SX H MeJ^QsY H hQRcentj H QR[]OX[Ph H MeJaelighZJ[]Qc[]OBVNPO^CSQcYUacuteN KEgrave[]YZQ H QUPJIacutebn[]OY H NPO H ^ not [PhaumlQcfsfcjY H hN~VH QR[]OYe H MeJNPj H Me[PhdYybn[]OYZQc^JLh NPjYZYZQsNPOOslash^QcY H hQccentj H QR[]OYbMNihdNPb H JLhQVcurrenLJU^ centm H WF[KNihdNSZOslashJ H JLhYe H MeJZaringJUNPOIacuteNPO^ H MeJ|UiNihQcNPObnJS^ q ObnJ H MeJWQtimeskWJU^Oe H MeJ0JUP[]fcj H QR[]OJBjN H QR[]O[SXNPONPb H QVUPJ bn[]O H []jhaeligQsYIacutebn[]ZOslashK-j H JU^NPO^^QchZJUb H fVm^eJLhQUPJU^poundXiacutehZ[]ZH MeJbnhdQ H JLhQR[]OO^SMJbLfcNPYZYZQcbLNPfe^JLhQVUiN H QVUPJ([SX H MJ(cent=[]jO^NihYmVcentNPYJU^ H JLhlZ fRJUNP^YH [ H MeJtNtildejbLfcQc^QcNPOpound[PJL[]ZOslashJ H hdQcbMeJUN HYX [Wg^OcircMeJ ^eJLhdQVU~N H QUPJ [SXiexclhZJ[]QR[]OWVcent-NPYJU^H JLhlZ Y QcY H MJUOKEgraveJLhYXiacute[PhlZOslashJU^jYQcO[ H MeJ hZJLJUOWVAQcJZaringNPOO H MeJL[PhJZ NPO^ H MeJNtildejfRJLhVAN[PhNPO[PJaJBjN H QR[]OY^5O^eJLJU^e H MeJeumlbn[]ZOslashKj H N H Qc[]O [SX H MeJaJUP[]fcj H QR[]OJBjN H QR[]OQsYK=JLhlX[PhlZaringJU^ QcO H MehZJLJyZ NPQcO Y H JLKYaringf^Q9hNPOYX[PhZaringN H QR[]Oeuml[SX^e[]ZaringNPQcOQcO H J[PhNPfcYTQcO H [ centEgrave[]jO^NihYmaQcO H J[PhNPfcYTjYZQcO[

H MeJ hZJLJUOeVAQRJZaringNPOO H MeJL[PhZJZ^

uumlnyacute|thornLyuml13

$amp)(+-)013021+345627893lt=gt9A6CB ^vF[]ZOslashKj H N H Qc[]O [SX H MJy0jfcJLhVA9N[PhNPOF[PJOtildeJjN H Qc[]OY^ltO H hZ[W^jb H QR[]O[SXiexclNeuml^mWONSZaringQcbLNPfFYZbdMeJZOslashJ QcO H MeJ0jfRJLhZVA9N[PhNPO[PJ JBjN~V

H QR[]OYQcO [Ph^eJLh H [aeligbn[]ZaringKj H J H MeJ5UPJUfR[BbLQ H mregUPJUb H [Ph[SX H MeJOtildeNPb H QVUPJOtildebn[]O H []jh^MJ UPJUfR[WbLQ H mXiacutejOb H QR[]OoccedilQsY H MJUO bn[]ZaringKj H JU^NPO^Q H fcJUNP^Y H [ H MJ5Xiacute[]fcfR[WQcO[JUP[]fcj H QR[]OJjN H QR[]OOaring aelig Yacuteaelig agrave aacuteacircaduuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml S jeacute ad]jWMJLhZJ QsY H MeJ bLjehlU~N H jehJaring[SXuYacuteaagravej^5O[Ph^eJLh H [aQZOslashK-fRJZOslashJUO HOtildeH MQcYordf|iexcl eNN[PhNPO[]QcNPOXiacute[PhlZtimesjfcN H QR[]O QsY(jYJU^O^JUbnJUO H fmSeampNihN[]Qc[]YNPO^frac34JLhQcbdMeJaNihdN[]QR[]YOtildeNPO^iexclJLhdQcbMeJSefhShSh]jegMNUPJKh[PK=[]YZJU^ NPOJk H JUOYZQc[]O[SX H MeJordfWF[PhY` [SXOcircEgraveMBjNPO^o0jQcfcfcJcentm QZOslashKhZ[UWQcO[ H MeJ^eJUYbnhQRK H [Phaelig[SX H MJbn[]O H []jeh QcO7[Ph^eJLh H [QcObn[PhK=[PhdN H J H MJQCZaringN[PJ[PhNP^QRJUO HNPYiexclQcO[PJL[W^eJUYZQcbIacuteNPb H QVUPJtimesbn[]O H []jehY^gtMeJTJUP[]fcj H QR[]OaJjN H Qc[]OaQcYiexclQZOslashKfRJZaringJUO H JU^jYQcO[ H MeJ(fRJUPJUfBYJ H ZOslashJ H Me[W^aeligQcO H hZ[B^jbnJU^aumlcentm q YZMJLhNPO^ G J H MQcNPOoa q YZMeJLh$NPO^G J H MQcNPOOeltfhSiSi_aNPfcfsNP^Q9J H NPfd^VefhShSmacr G J H MQcNPOOeltfhShS]j^ UPJLhYm QcO H JLhJUY H QcO[KNih H [SX H MQsYyWF[PhY`Oacutebn[]ObnJLhdOY H MeJ QsO H hZ[W^jb H Qc[]O[SXY[]ZOslashJ^eJUYZbnhdQRK H [PhYlaquouuml thorn timesOslash yumlNPO^uuml thorn UgraveUcircUacuteUuml yuml X[PhNiKKfcQsbLN H QR[]OYfcQV`PJ H Jk H jehZJFYJ[]ZOslashJUO H N H QR[]OtimesNPO^gZOslash[UBQcOF[[Pcent~JUb H Y^eJ H JUb H Qc[]OO^

G []ZOslashJT[ H MeJLhUacuteNiKKh[]NPbMeJUYlaquoa)vMN`BhNicentEgrave[Ph H mJ H NPfd^VeltfhShSvMeJUYONPj^ J H NPfd^VefhShSh]j9KhZ[PKEgrave[]YJ H [OtildebMe[B[]YJ(N H JUNPbdMOslashY H JLK H MeJ^QcYKfsNPbnJZOslashJUO H [SX H MeJNPb H QVUPJ(bn[]OWVH []jeh H MN H ZaringN`PJUY H MeJybnhQ H JLhQc[]OOtilde^eJUbnhZJUNPYJS^SvMN`BhNicentEgrave[Ph H miexclJ H NPfd^a)vMN`hNicentEgrave[Ph H mJ H NPfd^VecopyfhShS]jtimesQcO H h[B^jbnJ N`hZJ[]QR[]OWVcentNPYZJU^7NiKKhZ[]NPbMxXiacute[Ph H MeJ YZJ[]ZOslashJUO H N H Qc[]O[SXQZOslashJU^QcbLNPfQZ N[PJUY^ iexclYQcOeKj H [SX H MJUQRhNPfV[P[PhQ H MZe H MeJm bn[]OYQc^eJLh(centEgrave[ H M H MeJNPb H jNPf9QZaringN[PJgOtilde NPO^ H MeJOtildehZJ[]QR[]OWV4bLfsNPYZYZQVJU^ QCZaringN[PJgOtildeoslash^FMeJOtildebLfcNPYZYZQVJU^ QZaringN[PJOtilde oslash QcYiexclbn[]ZOslashKj H JU^`centmwZaringNkeQZaringQVcurrenUQcOF[ H MeJTKEgrave[]Y H JLhQc[Ph^QsY H hQRcentj H QR[]O [SX H MeJThJ[]QR[]OfcNicentEgraveJUfcY[]QUPJUO H MeJQcO H JUOYZQ H maeligQZaringN[PJS^MeJUQRh0hZJ[]QR[]O H JLhlZ JUOXiacute[PhbnJUY H MJcentEgrave[]jO^WVNihYm H [JUObLfc[]YJaringNYZQcOF[]fRJaelighZJ[]QR[]OQcOumlOtildeoslash^MeJaring^JUYZbnhQRK H [PhdYOtildeNihZJ H MeJXiacute[]fcfR[WQcO[WQ H M H MeJauml^QEgraveJLhZJUObnJ H MN HH MeJmWFNPO HH [regZaringNkeQZaringQcurrenLJ H MJTbnhQ H JLhQc[]OocircaringEFG FH uuml thorn UgraveUacuteUuml yuml aacute[Z] Otilde oslash a2atildeltszligaumljuuml thorn times Oslash yuml aacute suuml thorn otilde)yuml aacute[Z cent Otilde_^Ogravea2atildeshyszligaumlFj a)zSjWMJLhZJ]Z NPO^`Z cent NihZJ H WNtilde[7KEgrave[]YZQ H QVUPJbn[]OY H NPO H YNPO^ Otilde_^aQcY H MeJfrac34[PhNP^QRJUO HQZ N[PJS^ KhQc[PhYMNiKEgraveJ H JLhZDQcY(NPfcY[OslashNP^^eJU^ H [ H MJaumlbnhQ H JLhQR[]OeWiexclMQcbMbLNPO centEgraveJQcO H JLhZJUY H QsO[gXiacute[PhZOslashJU^QcbLNPf-QCZaringN[]QcO[gWiexclMeJLhZJ H MJiexclON H jehJ[SX H MeJYZMNiKEgraveJiexcl^[JUYFOe[ HbdMNPO[PJNaumlfc[ H Xh[]Z2QcO^QUBQc^jNPf H [TQsO^QVUWQc^jNPf)^MeJUOeiNPYNtildeQcOwa)EgraveMBjaringNPO^ordm0jQcfcfRJSefhShS]je H MeJWMe[]fRJaumlKhZ[PcentfRJZ QsY(hZJU^jbnJU^ H [ bn[]ZaringKj H QcO[ cent=[]jO^NihYm QcO H J[PhdNPfcYH MNPOF`BY H [ H MeJ hZJLJUOWVAQcJZaringNPOO H MeJL[PhZJZte(hN H MeJLh H MNPO centEgrave[ H M centEgrave[]jO^NihYmNPO^ ^[]ZaringNPQcO QcO H J[PhNPfcY^yacuteMeJQZOslashKfRJZaringJUO H N H QR[]O [SX H MeJNPb H QVUPJ7bn[]O H []jhaQcOa)vMN`hNicentEgrave[Ph H mJ H NPfd^Ve fhShS]jaringQcYaring^e[]OeJacentmjYZQcOF[N not []jehQcJLharingKNihNSZOslashJ H JLhdQVcurrenUN~VH QR[]O^yacuteMeJJkWKhZJUYZYZQc[]O [SX H MeJumlUPJUfR[WbLQ H mAumlUPJUb H [Ph [SX H MeJOacuteNPb H QVUPJ7bn[]O H []jeh QcY

uumlnyacute|thornLyuml13 a

yenKbrvbarsect =4 acirc $ zOe[ H bn[]ZOslashKj H JU^OeNtildecentj HOslashH MeJ bnhQ H JLhQc[]OQcYaringQcO H hZ[W^jbnJU^NPO^ OBjFZOslashJLhQcbLNPfsfVmOacuteJUiNPfuVjN H JU^ QsO [Ph^eJLh H [ ZaringNkeQZaringQVcurrenLJQ H ^ JbLNPO Oe[ H J H MN HH MJeumlNPj H Me[PhYMNUPJKh[PK=[]YZJU^ NlaquoUPJLhYm QcO H JLhZJUY H QcO[aeligJk H JUOYZQR[]O [SX H MQcYWNtilde[Phl` jYQcO[ H MJ5[]NSZaringJ H MeJnV[PhYma)vMN`BhNicentEgrave[Ph H m NPO^jObLNPOOeOfhShSh]j^J[]Qc[]O NPO^ cent=[]jO^NihYmOslashbnhQ H JLhdQR[]OYNihZJYJLKNihdN H JU^OePcentj H JUNPbMaringbnhQ H JLhQR[]Otimesbn[]O H NPQcOY$NPOtimesQsO H JLhNPb H Qc[]OlaquoWQ H M H MeJ[ H MeJLh^ Y H MJ_[]NSZOslashJKhZ[S[PhJUYZYJUYeBcentEgrave[ H MZOslash[W^jfcJUYyQZOslashKh[UPJ H MeJUQRh0KEgrave[]YZQ H QR[]OY H MhZ[]j[]MZtimesj H jNPfQcOFX[PhlZ N H QR[]O YZMNihQsO[^

Oe[ H MeJLhIacuteYZQZaringQcfsNihUacuteNiKKhZ[]NPbMMNPYaumlcentEgraveJLJUOQcO H hZ[W^jbnJU^eumlcentmbvMeJUYZONPj^eumlJ H NPfd^a)vMJUYZONPj^ J H NPfd^VefhShSh]j^FMeJUQchNtilde^eJUYZbnhdQRK H [PhYFNihZJhZJnVJU~NPfsjN H JU^ JUNPbM H QZOslashJUacuteNKEgrave[]QcO H [SX H MJNPb H QVUPJbn[]O H []jehFJUP[]fVUPJUY0YZQsObnJ H MeJUQRh0^JUYZbnhQRK H [PhdY$NihZJY H N H QcY H QcbLNPfXiacuteJUN H jehZJUYOtilde[SX H MeJ QZaringN[PJordm[]fR[PcentNPfsfVm`N HH NPbdMeJU^ H [ H MeJOslashJUP[]fVUWQcO[ hZJ[]Qc[]OY^shyMJmbdMe[[]YZJ H MeJ`hNPO^e[]Z ^QcYKfsNPbnJZOslashJUO H [SXaumlNOacutebn[]OYZQs^eJLhZJU^ KEgrave[]QcO H [SX H MeJ NPb H QVUPJbn[]O H []jehOslashY[ H MN HIacuteH MJ bnhQ H JLhQR[]O7^eJUbnhZJUNPYJUY^$ _X H JLhaeligJUNPbdM ^QcYKfsNPbnJZOslashJUO H [SXNKEgrave[]QcO H [SX H MeJIacuteNPb H QVUPJIacutebn[]O H []jehe H MJT^eJUYZbnhQcK H [PhY(NihZJOtildehZJnV4bn[]ZaringKj H JU^O^

fcN H JLh NiKKhZ[]NPbdM MNPYaringcentEgraveJLJUOQcO H hZ[W^jbnJU^ centm G NSZaringY[]O J H NPfd^_a G NSZ Y[]OJ H NPfd^Ve sSsSs jyacuteXiacute[PhOtildebLfcNPYZYZQbLN H QR[]OaNPO^acentmvMNPO NPO^frac34$JUYJa)vMNPOeumlNPO^frac34$JUYJSesSs fjX[PhaYZJ[]ZOslashJUO H N H Qc[]O [SXaeligY H QcfcfOtildeQZ N[PJUY^yacuteMeJm KhZ[PKEgrave[]YJ H [JZIacutecentEgraveJU^ H MeJbnhQ H JLhQR[]O ^QRhZJUb H fVm`QcO H MJaeligfcJUPJUf$YJ H X[PhlZtimesjfcN H Qc[]OO^Ov(MNPOeumlNPO^$JUYJOslashKhZ[PKEgrave[]YJH MeJordfXiacute[]fcfR[WQcO[Oslash^eJUYbnhQRK H [PhYaringEFG FH uuml thorn UgraveUcircUacuteUuml yuml aacutecb7d Otilde e f centUhguuml thorn timesOslash yuml aacutecb cent Otilde e cent centuuml thorn otilde)yuml aacuteiS adi]jWQ H M e H MeJ NUPJLhN[PJ[SXgOtildeQcOicircOuml timesOslash e e cent H MJ`NUPJLhdN[PJ[SXgOtilde7QsO OumluUgraveUcircUacuteUuml^MeJUYJH WNtilde[ UiNPfcjeJUY NihZJhJnVJUY H QZaringN H JU^ ^jehQcO[ H MeJKhZ[PK-N[]N H QR[]O [SX H MeJbLjhYUPJNPYH MeJaelighZJ[]Qc[]OYJUP[]fVUPJS^shyMeJtimesKNihNSZaringJ H JLhYjb e1b cent egeumlNPO^kSNihJaringY[]ZOslashJaeligKEgrave[]YZQ H QVUPJbn[]OY H NPO H Y^iexclJLhZJ H MJ fRJUPJUfFYJ H ZOslashJ H Me[W^QsYIacute^QchZJUb H fVmjYJU^OacutecentmhJLKhZJUYJUO H QcO[H MeJtimesbLjehYUPJlaquoYacuteaagravejNPY H MeJycurrenLJLhZ[fRJUPJUfampYJ H [SXyNQRKYZbdMQ H currenTbn[]O H QcOBje[]jY_XiacutejOb H QR[]Ol a2atildeshyszligaumlKszligYagravej^]MeJfRJUPJUfWYJ H XiacutejOb H QR[]O l QcYQsO H hZ[W^jbnJU^timesQcO H MeJbnhQ H JLhQc[]OUWQcN H MeJiexclJUNUWQcYZQc^JyacuteXiacutejOb H QR[]Onmra l j^MeJbnhQ H JLhQR[]O QcY H MeJUOoZaringQcOQZaringQVcurrenLJU^WQ H M hZJUYKEgraveJUb HH [ l jYZQcO[OslashNaelighZJ[]jfcNihQVcurrenLJU^UPJLhYQR[]O[SX H MJyZaringQcOQCZaringQVcurrenUN H QR[]O KhZ[PcentfcJZ JIacuteOe[ H JMeJLhJ H MN HFH MeJJUP[]fcj H QR[]OaringJBjN H QR[]O QcY0^QRhZJUb H fVmtimesJkBKhZJUYZYJU^regWQ H M H MJiexclfRJUPJUf-YJ HXqjOb H QR[]O NPO^ Oe[ H WQ H M H MJTbLjehYUPJgYacute|^

G []ZOslashJ[ H MeJLhWNtilde[Phl`BYeBjYZQcOF[auml^QcY H hQccentj H QR[]O H MeJL[PhYmSeBMNUPJcentEgraveJLJUOaringKh[PK=[]YZJU^OslashcentmJLcenthZJUjFUPJaJ H NPf)^_aJLcenthZJUjUPJ J H NPfd^Ve sSs fjXiacute[PhZaringJU^QcbLNPfQCZaringN[]QcO[NPO^ centm 5ZaringNP^QRJUjJ H NPfd^shyaq _Z NP^QRJUj J H NPf)^VeshyfhShSh]jcopyXiacute[PhcentjQsfc^QcO[times^eJ H JUb H QR[]OO^not QcONPfcfVmSe~hZJ[]QR[]OWVcentNPYZJU^aringNPb H QVUPJbn[]O H []jehYNtildeNihZJNPfcY[OtildeKEgrave[WFJLhYXqjf H [[]fsYX[PhNtildebLfcNPY5VYZQbLN H QR[]Opounda13yJcurrencurrenUQJ H NPfd^VeshyfhShSh]j[Ph_ZOslash[ H Qc[]O^eJ H JUb H QR[]Oxaw_aNPOYZ[]jehQgNPO^wcOtilde[]OWVhNP^efhShSh]j^MeJZ N~5[PhOtildebn[]O H hQRcentj H Qc[]Oa[SXy[]jh5WF[PhY`aQsY H [KhZ[PKEgrave[]YJaeligNo[PJUOeJLhNPfQXiacutehNSZOslashJnVWF[PhY`X[PhaumlhJ[]QR[]OWVcentNPYJU^OacuteNPb H QVUPJ bn[]O H []jehY H N`BQcOF[QcO H [NPbLbn[]jO HIacuteH MeJaringbLNPYJ [SX

hZJ[]Qc[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhY^OgraveMeJ UPJUfR[WbLQ H mordmUPJUb H [PhF[SX H MJiexclNPb H QVUPJUacutebn[]O H []jh

uumlnyacute|thornLyuml13 o

i $amp)(+-)013021+345627893lt=gt9A6CBQcYUacutebn[]ZOslashK-j H JU^centm`QcO H hZ[W^jbLQcO[N ^mWONSZaringQcbLNPfampYZbdMeJZOslashJaring^QchZJUb H fVm`QsO H MJaringbnhQ H JnVhQc[]O H [frac34ZaringQcOQZaringQVcurrenLJaeligNPYTQcO aJLcenthJUjUPJ J H NPfd^Ve sSs f 5ZaringNP^QcJUjJ H NPfd^VefhShSh]j^iexcl[WFJUPJLheWFJ KhZ[PKEgrave[]YJ MJLhZJ N OJW Xiacute[PhlZtimesjfcN H QR[]O7[SX H MJ^JLhQVUiN H QR[]OjYZQcO[YZMNiK=JIacute[PK H QZaringQcurrenUN H QR[]O H [B[]fcY^ Q H M YjbM NZaringJ H Me[B^egtWFJtimesNihJaeligNicent-fRJ H [hZJUNP^QsfVmH N`PJQcO H [NPbLbn[]jO HaringH MeJ bLNPYJ [SXhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhY H MN H U~NihYm^jhQcO[ H MeJ KhZ[PKN[]N H QR[]O[SX H MeJ NPb H QUPJ bn[]O H []jeh^MeJUYJ ^eJUYZbnhQRK H [PhYTMNUPJH [centEgraveJtimesbn[]OYZQc^eJLhZJU^ YZQcObnJ H MJmaNihZJlaquoWQc^eJUfmjYJU^X[PhOtildejOYZjeKEgraveJLhYUWQcYJU^YJ[]ZaringJUOWVH N H QR[]O^ not [Ph(YZjbdM hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYbnhQRK H [PhYeOgraveWFJiexclYZMe[W H MN H NP^^Q H QR[]ONPfH JLhlZ Y0NiKKEgraveJUNihNtildeQsO H MeJJUP[]fcj H QR[]OaringJBjN H QR[]O [SX H MeJiexclbLjehlUPJ H MN H MNUPJUacuteOe[ H centEgraveJLJUOKhJUBQR[]jYZfVm bn[]ZOslashK-j H JU^O^

pE paraOacuteOgraveJJTIshyAgravesup1cedilqoacuteIshyacuteLcedilsup3UrltLcedilgtmicrobacuteNsMgtLtrraquoML iquest acuteAgravegtT2MKIOAacutelAcirclaquocedilFAtildeacuteNfrac12oRSJT13AringKacutepoundAEligMKIKJMgtPltLAtildeq jhyZaringNPQcOb[P[]NPfFfsQRJUYTQcO H MeJ JUfsNicent=[PhdN H QR[]O[SXNfrac34[PJUOeJLhNPfXhdNSZOslashJWNtilde[Phl`umlX[Ph H MeJYJ[]ZaringJUO H N H QR[]O7[SXNPO7QZaringN[PJQcO H WF[euml^Q=JLhJUO H hZJ[]QR[]OYtimesjYZQcOF[hZJ[]QR[]OWVcent-NPYJU^NPb H QVUPJIacutebn[]O H []jehdY^ JOtildeKhZ[PKEgrave[]YJ H [ZaringQcOQZ QVcurrenLJ H MeJiexcl[PJUOeJLhdNPfgbnhQ H JLhQc[]O a2jWiexclMeJLhZJUacuteJUNPbM hJ[]QR[]OQcYamp^eJUYbnhQRcentEgraveJU^TjYQcO[UacuteN_XqjOb H Qc[]OtimesbLNPfsfRJU^ n^eJUYZbnhQRK H [Ph[SX H MeJhZJ[]QR[]Op^i YampKhZJUWQuV[]jYfVmOtilde^eJ H NPQcfRJU^OeNiexcl^eJUYbnhQRK H [PhQcY9N XiacutejOb H QR[]O H MN H ZOslashJUNPYZjhZJUY H MJNtildeMe[]ZOslash[S[PJUOJUQ H m[SXyN hZJ[]QR[]OO^Egrave_[]Y H [SXyhJUfRJU~NPO H Y H N H QcY H QcbLNPf^eJUYZbnhQcK H [PhY^JLK=JUO^ H MeJZaringYZJUfVUPJUY[]O H MeJOslashhJ[]QR[]OO^ G []ZOslashJOslashJkeNSZOslashKfRJUYOtildeNihJordm[]QVUPJUOQcO G JUb^shy^ macr^ not [PhTJkWNSZOslashK-fRJSe H MeJhZJ[]Qc[]Oa^eJUYZbnhdQRK H [Phordfuuml thorn timesOslash yuml bLNPO centEgraveJTbM[]YJUOeumlNPY H MJyUiNihQcNPObnJvu centtimesOslash [SX H MeJThJ[]QR[]OOumlcopytimesOslashFeWMQcbdM[]QVUPJUYaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashj|aacute[u centtimesOslash aacutexw$ aOtilde SOtimesOslashjUcirccent atilde aumlw$ atilde aumlWMJLhZJSOtimesOslash QcY H MJyZOslashJUNPO [SX H MeJaumlhJ[]QR[]OwOumlcopytimesOslash^ G jbMaNaring^eJUYZbnhQcK H [PhQcY(ONSZaringJU^aNn5hZJ[]Qc[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhlpOslashYZQcObnJaumlQ H ^eJLKEgraveJUO^YF[]O H MeJaumlhJ[]QR[]OwOuml timesOslash ^q ObnJ H MeJTbnhdQ H JLhQR[]O QcYQcO H h[B^jbnJU^OeWNtildeJTKhZ[PKEgrave[]YJ H [ bn[]ZaringKj H J H MeJTJUP[]fcjWVH QR[]OUacuteJBjN H QR[]OT[SX H MJ0bn[]O H []jh H MN H WQsfcfZaringN`PJ0Q H JUP[]fVUPJ H [WNih^YNyacuteZaringQcOQCZIacutejFZ[SX H MeJTbnhdQ H JLhQR[]OjYZQcO[OslashNaringOeJWH0jfcJLhQcNPOZOslashJ H Me[W^O^ H XqjO^NSZOslashJUO H NPfcfVm ^QEgraveJLhYXiacutehZ[]Z2[ H MJLhFNiKKhZ[]NPbMeJUYFYZQcObnJyacuteWNtildeJ_`PJLJLK H MJ Xiacute[PhlZIacutejfcN H QR[]Oaring[SXhJ[]QR[]OY0QsOY H JUNP^[SXyhJU^jbLQcO[ H MeJWiexclMe[]fRJTKhZ[PcentfRJZ H [ centEgrave[]jO^NihYm QcO H J[PhNPfcY^gtO^JLJU^OeWFJlaquohY HQcO H hZ[W^jbnJFNiexcl^mWONSZaringQsbLNPfYZbdMeJZOslashJ(QcO H MeJ(bnhQ H JLhQc[]OIacuteNPO^ H MeJUOWFJbn[]ZaringKj H J H MeJNtildejfRJLhQcNPO`^eJLhQVUiN H QVUPJaelig[SX H MJOslashJUP[]fVUBQsO[ bnhQ H JLhQR[]O`centm`jYZQsO[ YMNiKEgraveJIacute[PK H QCZaringQVcurrenUN~VH QR[]O KhQsObLQRKfRJUY^]MQcYZOslashJ H Me[W^ KhZ[UWQc^eJUY H MeJUacuteNP^U~NPO H N[PJ H MN HH MeJ5U~NihdQcN H QR[]O[SXehZJ[]Qc[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYbnhQRK H [PhYltWQ H M H MeJFJUP[]fcj H QR[]OIacute[SX H MeJNPb H QVUPJ(bn[]O H []jhbLNPO centEgraveJOtildehZJUNP^QcfVm H N`PJUO`QcO H [ NPbLbn[]jO H ^MeJTbn[]ZOslashKj H N H QR[]Oa[SX H MJTJUP[]fcj H Qc[]OaJBjN H QR[]O`[SX H MeJIacuteNPb H QUPJtimesbn[]O H []jehOtildeQcYKEgraveJLhYXiacute[PhlZOslashJU^QcO H MehJLJyZaringNPQcO Y H JLK-Yaring

uumlnyacute|thornLyuml13 y

yenKbrvbarsect =4 acirc $ hf^ltO H hZ[W^jb H QR[]O[SX$NOslash^mWONSZaringQcbLNPfYbMeJZOslashJSaring JTYJUNihbdMX[Ph H MeJOtildeKNih H Q H Qc[]O[SX H MeJaumlQZ N[PJadOumlcopytimesOslashszliglOuml UgraveUcircUacuteUuml szligYYacutejWMQcbdMZaringQcOQuVZaringQVcurrenLJUY H MeJbnhQ H JLhQR[]Oocirc|adOumlcopytimesOslashgtszliglOuml UgraveUcircUacuteUuml szligYYacutej^eJUYZbnhQRcentEgraveJU^aeligQcOa2j^ MQcfRJNPYZYZjZaringQcO[

H MN H NPO`[PK H QZaringNPf9KNih H Q H Qc[]O JkWQsY H Ye H MJTQcYZYZjJTQcY H [ bn[]ZOslashKj H J H MQcYiexclY[]fcjWVH QR[]OO^ G QsObnJ H MeJ YJ H [SX(NPfcfy^e[]ZaringNPQsOYaumlMNPYIacuteOe[ H NaY H hjb H jehZJOslash[SXcopyUPJUb H [PhQsNPfYKNPbnJSeQ H QcYauml^Qz bLjf HUacuteH [abn[]ZOslashKj H J H MeJ ^eJLhdQVU~N H QUPJOslash[SX H MJ bnhQ H JLhQc[]ONPb|Vbn[Ph^QcO[ H [ H MJ^e[]ZaringNPQsOY^_[ bLQchbLjFZUPJUO H H MQcY`KhZ[PcentfcJZeyacuteWFJNiKKfmN H hNPOYYX[PhlZ N H QR[]O| H [ JUNPbM^e[]ZaringNPQsOOeYZjbdM H MN H Q H centEgraveJUbn[]ZOslashJUY`bn[]OWVH QcOj[]jYZfVm^eJLKEgraveJUO^eJUO H []O NPO JUP[]fsj H QR[]O KNihNSZOslashJ H JLhagrave^MeJ`bnhQ H JLhQR[]Ocent=JUbn[]ZaringJUYT^eJLKEgraveJUO^eJUO H []Obagravearingocirc|aagravejgaacute ocirc|adOumlcopytimesOslashaagravejszliglOuml UgraveUcircUacuteUuml aagravejszligYYacuteaagravejj^QO H MQcY^mBONSZaringQcbLNPfTYbMeJZOslashJSeiexclWFJ bLNPO hJUNP^QcfVm H N`PJQcO H [ NPbLbn[]jO H N K=[]YYZQRcentfRJU~NihQsN H QR[]O[SX H MeJ ^eJUYZbnhdQRK H [PhYWQ H M H MeJJUP[]fVUWQcO[ hZJ[]QR[]OYk|adOuml times j aacuteOumlcopytimesaagravej^

^QiexclJLhdQVU~N H Qc[]O [SX H MeJaumlbnhQ H JLhQc[]O jYZQcO[OslashYZMNiK=JOtilde[PK H QZaringQVcurrenUN H QR[]O H MJL[PhZJZaringYaringMeJNtildebnhdQ H JLhQR[]OocircOcircaagravej9QcY H MeJUOIacute^JLhQVUPJU^TNPbLbn[Phd^QcO[ H [5agrave H MNPO`WY H [ H MeJFbn[]ZaeligVKj H N H QR[]Oeuml[SX H MeJ0jfRJLhQcNPOeuml^eJLhQU~N H QVUPJaelig[SX_ocircjYZQcO[YZMNiKEgraveJaelig[PK H QZ QVcurrenUN H QR[]OKhQcObLQcKfRJUYeOWMQcbMQcYIacuteOJWQsO H MeJNihZJUN [SXNPb H QVUPJ bn[]O H []jehY^$ YXqNihOslashNPYH MeJF^JLhQVUiN H QR[]OTQcYbn[]ObnJLhOeJU^e H MeJU~NihdQcN H QR[]OIacute[SX H MeJF^JUYZbnhQRK H [PhdYWQ H M H MeJJUP[]fVUBQsO[OslashhZJ[]QR[]OY_Oumlcopytimesaagravej(NPO^Y[ordmWQ H MagravetZIacutejY H centEgraveJ H N`PJUOaQcO H [aringNPbLbn[]jO H ^

^vF[]ZOslashKj H N H Qc[]O [SX H MJaumlJUP[]fcj H QR[]OJjN H Qc[]OXh[]Z H MeJauml^eJLhQU~N H QVUPJSaringnot hZ[]Z H MeJNtilde^JLhQVUiN H QVUPJSeWFJNtilde^eJU^jbnJ H MeJUPJUfR[WbLQ H mordfUPJUb H [Ph$[SX H MeJFNPb H QVUPJbn[]OWVH []jeh H MN H WiexclQcfcfZaringN`PJQ H JUP[]fUPJiexclNPYXqNPY H NPY$KEgrave[]YZYQRcentfRJ H [WNih^YNtildeNgZaringQcOQCZIacutejFZ[SX H MeJOtildebnhQ H JLhdQR[]OO^ObLNPYJUacute[SX9hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhYe H MeJUacuteJUP[]fcjWVH QR[]OeumlJjN H QR[]Oeuml[SX H MJaringNPb H QVUPJaringbn[]O H []jhTQcYOtilde^QEgraveJLhZJUO H XhZ[]Z H MJtimes[]OJaringbn[]ZaeligVKj H JU^ Xiacute[Ph hZJ[]QR[]OWV4QcO^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhY^ G []ZOslashJ`NP^^Q H QR[]ONPf H JLhZaringYNiKKEgraveJUNihiexclNPO^`Y[ Q H QcY[SX$KhdQZOslashJaumlOeJUbnJUYZYQ H m H [bn[]OYZQc^JLh H MeJ H WNtilde[o`WQcO^Y([SX^eJUYZbnhQRK H [PhY(YJLKNihN H JUfmS^

9J H jYFOe[ H J H MN HFH MQcY[PJUOeJLhNPfKXiacutehNSZOslashJWF[PhY` bLNPO centEgraveJNiKK-fcQRJU^ H [ordmZaringNPOm ^QEgraveJLhVJUO H NiKKfsQcbLN H QR[]OYcentm[]OfVmbMNPO[]QsO[ H MeJT^eJUYbnhQRK H [PhY^ H MNPYcentEgraveJLJUOOe[ H NicentfmNiKK-fcQRJU^ H [ordmZOslash[UBQsO[aelig[Pcent~5JUb H Y(^J H JUb H QR[]O QcOoUBQs^eJL[timesYZJjeJUObnJUY(NPbjQchZJU^ JUQ H MeJLhWQ H MN Y H N H QcbawS]JUMNPOWV4XFJUYZY[]O J H NPfd^Ve sSs fLbjiexcl[PhUacuteNregZOslash[Pcent-QcfRJTbLNSZOslashJLhdNawS]JUMNPOWVXFJUYZY[]O J H NPf)^Ve sSs fncentj^ JUYZbnhQRK H [PhdYoZ Nm NPfcY[centEgraveJ YJBjeJUO H QcNPfcfVm jYJU^ H [QZaringKhZ[UPJ H MeJu-ONPfBhZJUYZjf H NPYyQ H MNPYampcentEgraveJLJUOaeligKh[PK=[]YZJU^timesQsOtawSPJUMNPOWV4XFJUYZYZ[]OOslashJ H NPfd^VesSs fLNOgravej^^f^~OacuteETHEgraveKEacute18=KETH32EacuteltOacuterEacute0frac34Ntilde83ltOacuteONtildeshyIacute=gtNtildeshyEumltIcirc=39IgraveFIacute5Igrave O QZaringN[PJumlOtildegta2atildeltszligaumlj QcYNxXqjOb H QR[]O ^eJOJU^ Xiacute[Phpounda2atildeshyszligaumlFj OumlOcirccenteuWMeJLhZJOumloslashQcY H MeJ QZaringN[PJ ^e[]ZaringNPQcOO^ltMeJ QCZaringN[PJ ^e[]Z NPQcOQcYIacutebn[]OYZQc^eJLhJU^ H [ cent=JZaringNP^eJjeK`[SX H WF[KNih H Ylaquoa not Q[^fjaring H MJyXiacute[PhZJ[PhZ[]jO^`KNih H bn[]O H NPQsOQcO[ H MeJT[Pcent~JUb H Y H [

uumlnyacute|thornLyuml13

f s $amp)(+-)013021+345627893lt=gt9A6CBYJ[]ZaringJUO H e=Oe[ H JU^frac34OumlcopytimesOslashFe-NPO^ H MeJaumlcent-NPbY`[PhZ[]jO^aKNih H Oe[ H JU^Ouml UgraveUcircUacuteUuml ^MeJauml^QcYZbn[]OWVH QcOBjQ H m`YJ H QcYOtildeNbLjehlUPJ Oe[ H JU^bYacute H MN H ^JOeJUY H MeJ cent=[]jO^NihYmcentEgraveJ H WNtildeJLJUO H MeJH WNtilde[ ^[]ZaringNPQcOY^ J H MJUOaYJUNihbdMtXiacute[Ph H MeJ H WNtilde[^e[]ZaringNPQsOYyacuteOuml UgraveUcircUacuteUuml NPO^wOumlutimes OslashWMQcbdMtZaringQcOQZaringQVcurrenLJ H MeJbnhQ H JLhQR[]Oocircuml[]QVUPJUOcentmumla2jehZJZaringQcO^eJU^ MeJLhZJSaring

ocirc|adOuml UgraveUcircUacuteUuml szliglOumlcopytimesOslashgtszligYYacuteQjumlaacute uuml thorn UgraveUcircUacuteUuml yuml a2atildeltszligaumlgtszliglOuml UgraveUacuteUuml j atilde auml $ uuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOuml timesOslash j atilde aumlamp uacuteucirc thorn yuml uuml thorn otilde)yuml a2atildeshyszligaumlFj THORN5OaumlbnhQ H JLhdQR[]Oa2je H MeJ|hY HH WNtilde[ H JLhlZaringY9NihJyhZJ[]QR[]OWVcent-NPYJU^ordfWMQsfRJ H MeJ H MQRhd^ H JLhlZQcYcentEgrave[]jO^NihYmVcentNPYJU^O^MeJiexclXqjOb H QR[]OYyacuteuuml thorn UgraveUcircUacuteUuml yuml egtuuml thorn timesOslash yuml NPO^tuuml thorn otilde)yuml NihZJaumlhZJUYKEgraveJUb H QVUPJUfmH MeJ^eJUYZbnhdQRK H [PhY[SX H MeJFcentNPbl`[PhZ[]jO^timesKNih H ei[SX H MeJ[Pcent~JUb H Y H [OtildeYJ[]ZOslashJUO H NPO^Iacute[SXH MeJaumlbn[]O H []jeh^KMeJauml^eJUYbnhQRK H [PhYuZ Nm centEgraveJordf[]fR[PcentNPfcfm N HH NPbMJU^ H [ H MeJOtildeJUP[]fVUWQcO[hZJ[]Qc[]OY(NPO^Y[ ^eJLKEgraveJUO^ []Ofrac34Ouml timesOslash [Ph5OumluUgraveUcircUacuteUuml^

G QcObnJ H MeJaringYJ H [SXNtildeNPfsf$^e[]ZaringNPQcOYUacuteMNPYOtildeO[ H N Y H hjb H jehJtimes[SXUPJUb H [PhQcNPfyYZKNPbnJSeWFJIacutebLNPOeumlOe[ H bn[]ZOslashKj H J H MeJaelig^eJLhQVUiN H QVUPJT[SX H MJIacuteKhJUBQR[]jYbnhQ H JLhdQR[]OaNPbLbn[Ph^QcO[H [euml^e[]ZaringNPQcOY^ltMJLhZJX[PhJSe H [bn[]ZOslashKj H JNPO[PK H QZaringNPfFY[]fcj H Qc[]OOe9Neuml^mWONSZaringQcbLNPfYZbdMeJZOslashJOtildeQcYQcO H hZ[W^jbnJU^WMeJLhZJJUNPbM^[]ZaringNPQcO cent=JUbn[]ZaringJUY(bn[]O H QcOBje[]jYfVm ^eJLKEgraveJUOWV^eJUO H []ONPO JUP[]fcj H QR[]O KNihdNSZOslashJ H JLhagrave^59[ X[PhZaringNPfcQVcurrenLJ H MQcYQc^eJUNe WNtildeJxZaringNmYZjKKEgrave[]YJ H MN HTH MJ JUP[]fcj H Qc[]OKhZ[WbnJUYZYtimesQcY H [ H NPfsfVm^eJ H JLhlZaringQcOJU^centm H MJ JkeQcY5VH JUObnJiexcl[SXgNyXqNSZaringQcfmIacute[SXgNiKK-fcQcbLN H QR[]OY| H MN HNtildeH hNPOYXiacute[PhlZaringY H MeJiexclQsOQ H QcNPfe^e[]Z NPQcOYOumlcopytimesOslashgta s jNPO^tOuml UgraveUcircUacuteUuml a s jQsO H [ H MeJIacutebLjehZhZJUO H ^e[]ZaringNPQcOYyacuteOumlcopytimesOslashKaagravejNPO^frac34Ouml UgraveUcircUacuteUuml aagravejaring

OumlutimesUcirca s j ntilde OumlcopytimesaagravejYacutea s j ntilde Yacuteaagravej WiexclMeJLhZJVQaacuteiV[Ph Kf5 iumlMBjY H MeJOtildehJ[]QR[]OY(JUP[]fVUPJ H [WNih^YiexclNPO [PK H QZaringNPf9Y[]fcj H QR[]O^MeJ H hQRKfcJ H Ouml UgraveUcircUacuteUuml aagravejszliglOumlcopytimesOslashOaagravejszligYYacuteaagravejordmZIacutejY H NPb H NPYNregZaringQcOQZ QVcurrenUQcO[TYZJjeJUObnJgX[Phocirc|adOuml UgraveUcircUacuteUuml szliglOumlcopytimesOslashszligYYacutejWiexclMeJUOagrave JUP[]fVUPJUY^MeJ5XqjOb H QR[]ONPfOocircOcircadOuml UgraveUacuteUuml aagravejszliglOumlcopytimesOslashaagravejszligYYacuteaagravejjMNPY H [ bn[]OOgraveUPJLhY[PJ H [WNih^Y H MeJpoundZaringQcOQCZIacutejFZ UiNPfcjeJeuml[SXregocirc2NPYfrac34agraveacircntilde ograveegrave^ MeJbnhQ H JLhQR[]O H MeJUO centEgraveJUbn[]ZOslashJUYaring

ocirc|adOuml UgraveUcircUacuteUuml aagravejszliglOumlcopytimesOslashaagravejszligYYacuteaagravejjaacute thorn yuml uuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszliglOuml UgraveUcircUacuteUuml aagravejj atilde auml 5$ thorn yuml uuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashKaagravejj atilde aumlj uacuteucirc thorn yuml uuml thorn otilde)yuml a2atildeshyszligaumlFj THORN adh]jMJoXqjOb H Qc[]ONPf_ocircOcircadOumlyacuteUgraveUacuteUumllaagravejszliglOuml timesOslash aagravejszligYYacuteaagravejjaeligQcY H MeJLhZJUNX H JLh O[ H JU^egraveocirc|aagraveje0NPO^H MeJ ^eJUYZbnhQcK H [PhYuuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashKaagravejj NPO^icircuuml thorn UgraveUcircUacuteUuml yuml a2atildeltszligaumlgtszliglOuml UgraveUcircUacuteUuml aagravejjaringNihZJ`hZJUYKEgraveJUb|VH QVUPJUfmUacuteO[ H JU^laquouuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejgNPO^laquouuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszligYagravejeWMQcbdMTfRJUNP^Y H [ H MeJXiacute[]fcfR[WQcO[

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ fSfJkWKhZJUYZYQR[]OOaring

ocirc|aagravejumlaacute thorn yuml uuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszligYagravej atilde auml $ thorn yuml uumlgtthorn timesOslash yuml a2atildeltszligaumlgtszligYagravej atilde aumlj uacuteucirc thorn yuml uumlgtthorn otilde)yuml a2atildeshyszligaumlFj THORN af s j5OOtildebn[]O H hdNPY H WQ H MUacute[ H MeJLh9NPb H QVUPJFbn[]O H []jehdY9NiKKh[]NPbMeJUYe H MeJy^mWONSZaringQcbLNPfPYZbdMeJZOslashJQcYtimesMeJLhZJ^QRhJUb H fVmQcO H h[B^jbnJU^QcO H MeJbnhQ H JLhQc[]OO^ Q H MYZjbdMNeumlYZbdMeJZOslashJSe H MeJQcO H hZ[W^jb H QR[]OOacute[SXiexclNPO NPb H QVUPJbn[]O H []jehOslashJUP[]fVUWQcO[ WQ H Msup1agraveQcYaeligY H hNPQ[]M H Xiacute[PhYWNih^O^iexclJUObnJ WNtildeJbn[]OYZQc^eJLh H MN H Yacuteaagravej QsYoZaring[B^eJUfsfRJU^ NPY NPO NPb H QUPJOacutebn[]O H []jh H MN Hbn[]OUPJLhY[PJUY H [WNih^Y H MJgONPfEgraveJkWKEgraveJUb H JU^YJ[]ZOslashJUO H N H QR[]OO^9J H Yacutea s jtimescentEgraveJ H MeJQcOQ H QcNPfNtildebLjhYUPJa^eJOJU^centm H MeJjYJLh^ JahZJUbLNPfcf H MN H WFJYJUNihdbMtXiacute[Ph YacuteaagravejNPYNaringbLjehlUPJaumlJUP[]fVUWQcO[aringNPbLbn[Ph^QsO[ H [ H MeJgXiacute[]fcfR[WQcO[ordm5 aringaelig YacuteadTHORNOgraveszligYagravejaelig agrave aacuteegraveeuml WiexclQ H MigraveYacutea s j|aacuteegraveYacuteshyiacute afSfjWMJLhZJ_euml`QcY H MJ_UPJUfR[WbLQ H mUPJUb H [Ph([SX H MeJUacuteNPb H QVUPJOtildebn[]O H []jh^MeJ_Z NPQcO KhZ[PcentfRJZfcQcJUYFQsO-O^QcO[ H MeJiexclUPJUfR[WbLQ H meumlXhZ[]Z H MJUacutebnhdQ H JLhQR[]Opoundaf s jFQcO [Ph^JLh H [ordm[PJ HH MeJXqNPY H JUY H bLjhYUPJaumlJUP[]fcj H Qc[]O H [WNih^Y H MeJordfONPfYJ[]ZaringJUO H N H QR[]O^^ ^iexclEacuteltIacuteETHNtildeFETHEacuteshyOacute Eacute10wETH9Igrave8ltIgraveFEgravegt+NtildeFETH3gt+ltIgraveumlEacute10frac34ETH9Igrave=KEgrave13ETHIgraveFEgraveEacuteshyOacute5Oeuml[Ph^eJLh H [ [Pcent H NPQsO H MeJOslashJUP[]fcj H QR[]OeumlJBjN H QR[]Oe H MeJaringbnhQ H JLhQc[]OxocircOcircaagravej5ZtimesjY H centEgraveJ^QV=JLhZJUO H QcN H JU^WQ H MhZJUYKEgraveJUb H(H [agrave^MeJOtildeQcO H J[PhNPfcentEgrave[]jO^Y^eJLKEgraveJUO^ []Otagrave NPO^H MeJauml^JUYZbnhQRK H [PhdYyacuteuuml thorn UgraveUcircUacuteUuml yuml a)jNPO^wuuml thorn times Oslash yuml a)juZaringNm NPfcY[aring^JLK=JUO^[]Otagrave^9J H jY^eJOJ H MeJordfXiacutejOb H QR[]ONPfuumlOa2atildeltszligaumlgtszligYagravejYZjbM H MN H aring

uumlOa2atildeltszligaumlgtszligYagravej|aacute uuml thorn UgraveUacuteUuml yuml a2atildeltszligaumlgtszligYagravej QVXcopya2atildeltszligaumljwOuml UgraveUcircUacuteUuml aagravejuuml thorn times Oslash yuml a2atildeltszligaumlgtszligYagravej QVXcopya2atildeshyszligaumlFjtOumlcopytimesOslashKaagravej af jMJbXqjOb H QR[]ONPfuuml thorn UgraveUcircUacuteUuml yuml a)jNPO^Huuml thorn times Oslash yuml a)j`NihZJ^eJOJU^ []O H MeJxWMe[]fRJ7QZaringN[PJ^e[]Z NPQcOtOumliexcl^FMeJUOe H MeJaumlbnhQ H JLhQc[]OocircOcircaagravejuWhQ H JUY(NPYaring

ocirc|aagravejOcircaacute uacute uumlOa2atildeshyszligaumlKszligYagravej atilde aumlj uacuteucirc thorn yuml uumlgtthorn otilde)yuml a2atildeshyszligaumlFj THORNordfaacuteocirc aagravej ocirc cent aagravej af]jWMJLhZJgOuml QcY H MeJaumlQCZaringN[PJT^e[]ZaringNPQsOOeeNPO^Oaring

ocirc aagravej|aacute uacute uumlOa2atildeshyszligaumlKszligYagravej atilde aumlocirc cent aagravejOcircaacute uacuteucirc thorn yuml uuml thorn otilde)yuml a2atildeshyszligaumlFj THORN

uumlnyacutenthornnyumll13YSordmY_F

f $amp)(+-)013021+345627893lt=gt9A6CB5OOtilde[Ph^eJLh H [bn[]ZaringKj H J H MJ0^eJLhQVUiN H QVUPJy[SX H MJNtildebnhQ H JLhdQR[]Olaquoocirc aagraveje H MJNtilde^QcYbn[]O H QcOBjWVQ H QcJUY|ZtimesjY H JkWKfcQcbLQ H fVmIacutecentEgraveJ H N`PJUOQcO H [IacuteNPbLbn[]jO H ^ not [Ph(YZjbdM NIacuteKjehZKEgrave[]YJSeSWFJ5hY HhZJUbLNPfsf-N[PJUOeJLhNPf H MeJL[PhJZbn[]ObnJLhOQcO[ H MeJUacute^eJLhQVUiN H QVUPJ[SX9N H QZOslashJnV4^eJLKEgraveJUO^JUO HbnhQ H JLhQR[]OO^9J H jY(^eJ-OeJyOumlcopytimesaagravejNPYNOslashhZJ[]Qc[]OQcObLfcj^eJU^QcO H [regOumlordf^yacute5 q Ntilde_ f^1ltuumlStimesBiexcl centpoundcurrenyencurrenbrvbarsectumlordfcopynotlaquo3shyyenLregmacrcurrenRlaquodegcurrenbrvbarlaquo Oumlplusmna s szligsup2|iexcljsup3acute Rlaquomicromiddotparagtltocirc|aagravejOcircaacute w thorn yuml uumlStimesYa2atildeltszligaumlgtszligYagravej atilde auml~sup3cedilsectsup1ltlaquoordm ocirc agrave aacuteocirc7raquodaagravejOcircaacute thorn yuml aelig uumlStimesaelig agrave atilde auml uacutefrac14 thorn yuml uumlStimesYafrac34frac12 eacuteAgraveiquestsup1AacuteAtildeAcircYj THORNAuml sectsup1ltAringPfrac12AEligreg(centsectsup1Ccedilbrvbar_paracurrenyenshyltregLLEgraveacutecurrensup2uml aelig Oumlcopytimesaagravej RlaquomicroeacuteAgraveiquestsup1AacuteAtildeAcircEacuteregEcirccentsectsup1copysup1laquoregEumlreg(laquo Auml brvbarAringsup2microacutelaquocurrenRAringordfpound RparaIgravecurren aelig Oumlcopytimesaagravej_IacuteMJ^JLhQVUiN H QVUPJ[SXshyocircWQ H MaelighZJUYZK=JUb HampH [yagraveaeligQcY H MJyacute0jfRJLhdQcNPOIacute^JLhQVUiN H QVUPJ([SXocirc|adOumlcopytimesAjQcO H MeJOtilde^QRhJUb H QR[]O [SXEumlfrac12umleWMQcbdM bn[]ZaringKj H N H QR[]O QcY[]QVUPJUO QsO iexclKKEgraveJUO^Qkaring ^FMeJUiNihQcN H QR[]Oeuml[SX5ocirc QcYOtilde^jeJ H [ H MeJUiNihQcN H Qc[]O[SX H MeJordmXiacutejOb H QR[]ONPfOcircuuml]timesa2atildeltszligaumlgtszligYagravejaumlNPO^H [ H MeJgZOslash[ H Qc[]O[SX H MeJOtildeQcO H J[PhNPf^e[]ZaringNPQsOOumlutimesaagravej^ Y(Naeligbn[PhZ[]fcfcNihYm [SXltMJL[PhZJZfeFWFJordf[PJ H aringv q q shy9 5lt f^yenIcirccopyNcentampcentcopyIuml-Iumlsup1currenfcentyenYsectnot -sectsup1Ymicro-currenRpound Rreglaquofrac34Oumlgaagravejampreg(centpound -microETHcopyIumliexclcurrensup2uml Auml currenCIuml RAringordfcentsup3yOuml timesOslash aagravejNtilde RlaquomicropoundOumlyacuteUgraveUacuteUumllaagravejOgravecentyenfrac34Iumlsup1 brvbarAringsup2 brvbarmicro_Egraveh iexclpoundYcurrenbrvbarCcedildreglaquoNOacutehreglaquo5_Aringumllt -shytYacuteaagravejAuml sectETHregmacrshy_sectOcircCcedilRltparaOtildecurrendshyltregLLEgraveregEcirccentyacuteeumlEumlIacuteOumlsectsup1Uumlordfcopynotlaquo3shyyenLregmacrcurrenRlaquouumlOa2atildeltszligaumlgtszligYagravejreg(centcentordfcopyIuml-Iumlsup1currenfcentyenmicroOcircIgravecurrenOcirccentltfrac34Iuml RAringsup2 -_paraEgraveshycurrenRlaquo5LreglaquocopycurrenRcopynotcentcedilreglaquoyOumlcopytimesOslashKaagravejW Rlaquomicro Ouml UgraveUcircUacuteUuml aagravej_copy3pound REgraveampJmicrobrvbarregEcirccentltshycurrenRlaquo5LreglaquocopycurrenRcopynotcentJ -shyltAringPcurrenfcentcentYacuteaagravej_Iacutetimes Agravelaquocurrenbrvbaruuml thorn times Oslash yuml Rlaquomicroruuml thorn UgraveUcircUacuteUuml yuml sup3sectsup1Ccedilf brvbarparacopy5iexclcurrensup2umlwuumlreglaquoOslashAringordfcentIumlshydLreg(Ccedilbrvbar_paraEgraverOumlutimes OslashaagravejAgrave Rlaquo3microOuml UgraveUcircUacuteUuml aagravej_IacuteUgraveOumlsectNcopyNcentampsectmicroETH_Aringordfreg(CcedilR brvbarLregCcedilRcurrensup2umlordfocirc|aagravej Auml AringregLordfcent fcent_ordm

ocirc7raquo)aagravejOcircaacuteUacute thorn yuml aelig uumlaelig agrave atilde auml uacutefrac14 thorn yuml uumlOaLUcirc eacute iquestsup1Aacute j THORN uacuteucirc thorn yuml uumlNaeuml eacuteHj THORNAuml sectsup1ltAringPacute uumlNAringfrac34Iuml3AringP_centlt_laquocentYsectUumlordfcopysup1poundUgraveIumlcurrensup2umlguumlh -shyltAringPcurrenfcentcentordfYacuteaagravej_ordmW uumlNaacuteacircuuml thorn UgraveUacuteUuml yuml uuml thorn times Oslash yuml sup3eacute sectsup1ncopynotlaquo5reglaquo3currenRAringpound RparaIcirccurrensup2umlordfYacuteaagravejmicrobrvbarreg(AringshydmicroampumlAringPcurrenRpound Ouml UgraveUacuteUuml aagravejIgravecurrenOumlutimes OslashKaagravejsup3eacuteAgraveiquestsup1Aacutesectcopysup1laquoregLEumlreglaquo Auml RAringPmicroOcirclaquocurrenRAringordfpound Rpara1Igravecurren aelig Oumlgaagravejj RlaquomicroUcircYacutesectsup1jCcedilbrvbar_paracurrenyenshyltregLLEgravenCcedilbrvbarshydIgravecurrenRAringjcurrensup2uml_Oumlyaagravej_Iacute

plusmngLMOMraquo aring JbLNPO NiKKfVm MJL[PhZJZ f H [ H MeJ ^[]ZaringNPQcO Oumlutimes OslashaagravejaringNPO^ H [ H MeJ^e[]Z NPQcOtOuml UgraveUcircUacuteUuml aagravej^ ^^QcO[ H MeJ H WF[aringJjN H QR[]OYeFWFJOtilde[Pcent H NPQcO H MeJTbn[PhZ[]fcfsNihYmS^ H QcYIacuteOe[WY H hNPQ[]M H Xiacute[PhYWNih^ H [[PJ HtimesH MeJ ^eJLhdQVU~N H QUPJ [SX H MeJ bnhQ H JLhQR[]O ocirc aagravejaringWFJ H N`PJ5OumlyaagravejOcircaacuteAumlOuml H MeJiexclQZaringN[PJ^e[]Z NPQcOta not QV[^ j^MJUOOePcentmaeligJkWKfcQcbLQ H fVm H N`WQcO[

uumlnyacutenthornnyumll13YSordmY_FY

yenKbrvbarsect =4 acirc $ fH MeJtimes^QcYZbn[]O H QcOBjQ H QRJUY(QsO H [ NPbLbn[]jO HUacuteH MNPOF`BY H [ H MeJtimesbn[PhZ[]fcfcNihlmSe H MeJtimes^eJLhQVUiN H QVUPJ[SXocirc aagravejQcYcopy[]QVUPJUOacentmKaring

ocirc raquo aagravejumlaacute uacuteucirc thorn yuml uumlNaeuml eacutej THORN uacutefrac14 uumlOaLUcirc eacuteAgraveiquestsup1Aacutej THORN $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde auml thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afj

q centUWQR[]jYZfVmSe H MeJ7YJUbn[]O^ H JLhlZ [SX H MeJ7^eJLhQVUiN H QVUPJ afjaQcYcurrenLJLh[ YZQcObnJ H MeJJk H JLhONPf(centEgrave[]jO^NihYm aelig OumlD[SX H MeJ`QZaringN[PJaQcYkBJU^^OcircJLKfcNPbLQsO[` uumlN_WQ H MQ H YJkWKhZJUYZYQR[]OOeWNtildeJyO^Oaring

ocirc7raquo aagravejumlaacute uacuteucirc thorn yuml aduuml thorn UgraveUcircUacuteUuml yuml1 uuml thorn timesOslash yuml jaeuml eacuteHj THORN $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde auml thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afmacr]jMJUacute^JLhQVUiN H QVUPJOtilde[SXocirc cent aagravejQcY(bLfcNPYZYQcbLNPfdaring

ocirc7raquocent aagravejOcircaacute uacuteucirc thorn yuml a uuml thorn otilde)yumld huuml thorn otilde)yuml7 eacutejaeuml eacutej THORN af]jWMJLhZJ a2atildeshyszligaumlKszligYagravejQcY H MeJaumlbLjehlU~N H jehJ[SXQYacutea2atildeltszligaumlgtszligYagravej^MeJLhZJXiacute[PhZJSe H MeJOtilde^eJLhQVUiN H QVUPJ[SX H MeJgWM[]fRJOtildebnhQ H JLhQR[]O QsY H MeJordfXiacute[]fcfR[WiexclQcO[aring

ocirc raquo aagravejpoundaacute $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde aumlamp thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afzSj uacuteucirc thorn yuml aduuml thorn UgraveUcircUacuteUuml yuml uuml thorn timesOslash yuml uuml thorn otilde)yuml huuml thorn otilde)yuml eacutejaeuml eacutej THORN

^ ^~THORNUgrave2FEgraveOIgraveIcircIcirclt2EacuteltOacute Eacute0frac34ETH9Igrave8shyIgraveFEgraveEcirc+NtildeFETH3Ecirc+ltIgraveNtilde7==EacuteltEgrave7813Oacute14 ETHOEacute ETH9IgraveOacuteszligltOacuteshyEacuteOacuteAgrave+QIgraveFEumlEacuteAtilde=13ETH+ltIgrave5=KETHOEacuteshyEgravesup1euml5Oaelig[Ph^eJLh H [Tbn[]ZaringKj H J H MeJuUPJUfR[WbLQ H mUPJUb H [PhcopyeumleSWNtildeJMNUPJ H [yZ N`PJQ H NiKKEgraveJUNihyQcOH MeJhY HH WF[ ^e[]Z NPQcOaQcO H J[PhNPfcYiexcl[SX afzSjcentmJkWKhZJUYZYQcO[ H MeJZ NPY_XiacutejOb H QR[]OY[SX H MeJgUPJUfR[WbLQ H meumlQ^iexclJLhZJiexclWFJ H N`PJ H MeJ5[PJUOeJLhNPfbLNPYZJ5WiexclMeJLhZJ H MeJ^JUYZbnhQRK H [PhdYZaringNm ^eJLKEgraveJUO^ []OXiacuteJUN H jehZJUY5[]fR[PcentNPfsfVmN HH NPbMeJU^ H [ H MJtimeshJ[]QR[]OeumlNPO^eumlY[oZ Nm`^JLK=JUO^a[]O agrave^ JZOslash[W^eJUf$JUNPbdM^eJUYZbnhQRK H [PhIacuteNPYtimesNabn[]ZIacutecentQcON H QR[]OOacute[SXuXJUN H jhZJUYy[]fc[PcentNPfcfVmeumlN HH NPbMeJU^

uumlnyacutenthornnyumll13YSordmY_F

f $amp)(+-)013021+345627893lt=gt9A6CBH [ H MJOtildeJUP[]fVUBQsO[OslashhZJ[]QR[]OY_OumlcopytimesOslashKaagravejF[Ph_Ouml UgraveUacuteUuml aagravejaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejpoundaacuteAElig thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn timesOslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejszligiumlViumlViumlVszligagrave thorn timesOslash yumlaacute aagravejjuuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszligYagravejpoundaacuteAElig thorn UgraveUcircUacuteUuml yuml a2atildeltszligaumlgtszligagrave thorn UgraveUcircUacuteUuml yuml aagravejszligagrave thorn UgraveUcircUacuteUuml yumlcent aagravejszligiumlViumlViumlVszligagrave thorn UgraveUcircUacuteUuml yumlacirc aagravejjafi]j

WMJLhZJSaring agrave thorn(atilde yumlauml aacute 7aring thorn yuml5aelig thorn(atilde yumlauml a2atildeltszligaumlgtszligYagravej atilde auml WQ H Mpounda jOcircaacuteacircaVltjF[Pha Kf5 jiuml afh]j9J H jYuhY H bn[]ZOslashKj H J H MeJIacute^eJLhQVUiN H QVUPJOtilde[SXuuml thorn timesOslash yuml eFWFJgO^Oaring

aelig uuml thorn times Oslash yumlaelig agrave aacute aacuteccedilaumlegrave aelig thorn timesOslash yumlaelig agrave thorn times Oslash yumlauml a2atildeltszligaumlgtszligagrave thorn timesOslash yuml aagravejszligiumlViumlViumlVszligagrave thorn timesOslash yumlaacute aagravejj aelig agrave thorn timesOslash yumlaumlaelig agrave aagravej a s j J MNUPJOe[W H [bn[]ZOslashKj H J H MeJ ^eJLhdQVU~N H QUPJ [SXagrave thorn timesOslash yumlauml NPbLbn[Ph^QcO[ H [umlagrave^ JNiKK-fVm H MeJgMeJL[PhZJZigravefaumlNPO^WNtildeJy[PJ H aring

aelig agrave thorn timesOslash yumlaumlaelig agrave aacute $ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde auml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacutej THORN a fj

JLKfcNPbLQcO[ H MeJNtilde^eJLhdQVU~N H QUPJUY9[SX3agrave thorn timesOslash yumlauml WQ H M H MeJUQRhJkWKhZJUYZYZQc[]OYa fj9QcOa s jeSWFJ[Pcent H NPQsO H MJXiacute[]fcfR[WQcO[iexclJkBKhJUYZYZQR[]OX[Ph H MJF^e[]Z NPQcOaeligQcO H J[PhdNPf[SX H MeJ^eJLhQVUiN H QVUPJ[SX H MeJT^eJUYbnhQRK H [Ph uuml thorn times Oslash yuml aring

$ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde aumlacircaacute aacuteccedilaumlordfegrave -eacute thorn timesOslash yumlauml $ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde auml

aacuteccedilaumlordfegrave eacute thorn timesOslash yumlauml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacuteHj THORN a S jWMJLhZJSaring

eacute thorn timesOslash yumlauml aacute $ thorn yuml aelig thorn timesOslash yumlaelig agrave thorn timesOslash yumlauml a2atildeltszligaumlgtszligagrave thorn timesOslash yuml aagravejszligiumlViumlViumlVszligagrave thorn times Oslash yumlaacute aagravejj atilde auml a ]jMJIacuteJkWKhZJUYZYQR[]OwXiacute[Pha jyacuteaacute a Kf jiexclQcYbn[]ZOslashKj H JU^QsO H MeJaeligYZNSZOslashJordmZaringNPOOeJLhiexclWMQcfRJKNmBQsO[N HH JUO H Qc[]O H [ H MeJ`^QRhZJUb H QR[]O[SX H MeJ`Oe[PhlZaringNPfcopyUPJUb H [PheNPO^rWFJ H MBjY

uumlnyacutenthornnyumll13YSordmY_Fsup2

yenKbrvbarsect =4 acirc $ fmacr[Pcent H NPQsO H MeJg[PJUOeJLhNPfgJkBKhJUYZYZQR[]OXiacute[Ph H MeJauml^JLhQVUiN H QVUPJOtilde[SXocircOcircaagravejaring

ocirc raquo aagravejumlaacute uacuteucirc thorn yuml aduumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn times Oslash yuml uumlgtthorn otilde)yuml d hreguumlgtthorn otilde)yuml eacuteHjaeuml eacutej THORN aacuteccedilaumlordfegrave eacute thorn timesOslash yumlauml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacuteHj THORN acircccedilaumlordfegrave eacute thorn UgraveUcircUacuteUuml yumlauml uacuteucirc thorn yuml aelig thorn UgraveUcircUacuteUuml yumlauml aeuml eacutej THORN aacuteccedilaumlordfegrave -eacute thorn timesOslash yumlauml $ thorn yuml aelig aelig thorn

timesOslash yumlaumlaelig agrave atilde auml acircccedilaumlordfegrave eacute thorn UgraveUcircUacuteUuml yumlauml thorn yuml aelig aelig thorn

UgraveUcircUacuteUuml yumlaumlaelig agrave atilde auml a j^ ^ecirccopyEgraveEacuteshyIacuteIumlETH39shyIgrave8shyIgraveFEgraveEcirc+NtildeFETH3gt+QIgraveETHOEacute3iexclNtildeshyEgrave78QIcircETH9IgraveumlIgrave+EacuteltEumlETHshyETHEacuteshyOacuterIgrave5euml1ONtildeFETH32EacuteltOacuteEacute10wETH9Igrave Ntilde=KETH3gt+ltIgrave=EacuteshyOacuteshyETHEacute1EgraveMJ[P[]NPf[SX H MQsYampKNih H QcY H [aumlbn[]ZOslashK-j H J H MeJ(JkWKhZJUYZYZQc[]Oaelig[SX H MeJuUPJUfc[BbLQ H mUPJUb H [PheumlwWMQcbdMregZaringN`PJUY H MeJUacutebLjehYUPJJUP[]fVUPJOtildeNPYXiacuteNPY H NPYFKEgrave[]YZYZQRcent-fRJ H [WNih^Y(NZaringQcOQCZIacutejFZ[SX H MeJaeligbnhQ H JLhdQR[]Oumlocirc^KO`[Ph^eJLh H [ ^JU^jbnJ H MJyUPJUfR[WbLQ H mwUPJUb H [PhOtilde[SX H MeJaeligNPb H QVUPJbn[]O H []jehQXhZ[]Z H MeJF^eJLhQVUiN H QVUPJ0[SX H MeJNtildebnhQ H JLhQR[]OOeWFJMNUPJ H [5Z N`PJFNiKKEgraveJUNih H MeJUPJUfR[WbLQ H moUPJUb H [PhUacuteQcO H MJTfcNPY HH WNtilde[ ^e[]ZaringNPQcOaQcO H J[PhdNPfcY(centm JkWKhZJUYYZQcO[ H MeJZ NPYcentEgrave[]jO^NihYm QcO H J[PhNPfcY^FMQcYbLNPOaJUNPYZQcfVm centEgraveJauml^e[]OeJTjYZQcO[MJL[PhZJZigravefe-^[]ZaringNPQcOQcO H J[PhNPfcYbLNPOeumlNPfVWNmWYiexclcentEgraveJIacuteJkBKhJUYZYJU^ NPYcentEgrave[]jO^NihYm QcO H J[PhdNPfcY^gtiexcl[WFJUPJLheOXiacute[PhYZQCZOslashKfcQcbLQ H mSe-fcJ H jYbn[]OYZQc^eJLh H MeJaringbLNPYJUYgWMeJLhZJ H MeJUYJOslashfcNPY HH WNtilde[`QcO H J[PhdNPfcYOtildeNihZJJBjNPf H [currenLJLhZ[eOgraveWMQcbMaringMNiKKEgraveJUOYX[PhZOslash[]Y H hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhdQRK H [PhY^S5OH MN H bLNPYJSeNPbLbn[Ph^QsO[ H [ H MeJaeligQcOeJBjNPfcQ H m[SXvNPjbdMOgravemV G bdMOgraveWNih H currenSe H MeJXiacuteNPY H JUY H^eJUbnhJUNPYJa[SXocirc|aagravejOslashQcY [Pcent H NPQcOeJU^ XhZ[]Zecirca jOslashcentm bMe[B[]YZQcOF[beuml aacute ccedilyeacute WMQsbMfRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[aeligJUP[]fcj H Qc[]O JjN H QR[]OOaringaelig Yacuteaagravejaelig agrave aacuteFuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yuml uuml thorn otilde)yuml eacute aacuteccedilaumlordfegrave ETHeacute thorn timesOslash yumlauml aelig thorn timesOslash yumlauml acircccedilaumlordfegrave ETHeacute thorn UgraveUcircUacuteUuml yumlauml aelig thorn UgraveUcircUacuteUuml yumlauml lteacute a macr]jUcircX H MJ^eJUYZbnhQRK H [PhY$^e[TOe[ H ^eJLKEgraveJUO^times[]OregagravetaiacutehZJ[]QR[]OeV4QcO^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhYjeH MeJgiexcl hZJU^jbnJUY H [ H MeJordfXiacute[]fcfR[WQcO[aeligJkWKhZJUYZYQR[]OOaringaelig Yacuteaagravejaelig agrave aacuteigraveuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yumldn reguuml thorn otilde)yuml7 eacutelteacute a ]j

uumlnyacutenthornnyumll13YSordmY_FY

f $amp)(+-)013021+345627893lt=gt9A6CB JaeligbLNPO`O[ H QcbnJ H MN HH MeJtimes^eJLKEgraveJUO^eJUObnJauml[SX H MJIacute^eJUYZbnhdQRK H [PhY[]OwagraveeEgraveNPO^aY[ []OH MeJiexclbLjehYUPJJUP[]fcj H QR[]OOeQcO^jbnJUY0NP^^Q H QR[]ONPf H JLhlZaringYFQcO H MeJiexclJUP[]fcj H QR[]O JjN H QR[]O[SX H MJFNPb H QVUPJ(bn[]O H []jeh^SMeJNP^^Q H QR[]ONPf H JLhZaringYQX[]jO^IacuteQcOoa macr]jbLNPOOe[ H hZJUNP^QsfVmcentEgraveJtimes[Pcent H NPQcOeJU^ WMJUO H MeJOslash^mBONSZaringQcbLNPfampYZbMJZOslashJaringQcYOtildeQcO H hZ[W^jbnJU^eumlNX H JLh H MeJOslashbn[]ZaeligVKj H N H QR[]Oa[SX H MeJaelig^eJLhQVUiN H QVUPJaeligjYZQcO[o0jfcJLhVA9N[PhNPOF[PJIacuteJBjN H QR[]OY^MjYe-Q H QcY[SX=KhQZaringJOeJUbnJUYZYZQ H m H [TQcO H hZ[B^jbnJ H MeJ^mWONSZaringQsbLNPfeYZbMeJZaringJiexclQcO H [ H MeJbnhQ H JLhQR[]OQ H YZJUfVXiexclQcO[Phd^eJLh H [JUNPYZQsfVmsup1[PJ H H MeJUYJaNP^^Q H QR[]ONPf H JLhlZ Y QcO bLNPYJa[SXhJ[]QR[]OWV^eJLKEgraveJUO^JUO H ^JUYZbnhQRK H [PhdY^MNPO`BY H [ H MeJUYJeumlNP^^Q H QR[]ONPf H JLhlZaringYeWFJ`JUOYZjehZJH MeJordfXqNPY H JUY H JUP[]fcj H QR[]O [SX H MeJIacutebLjehYUPJ H [WNih^YiexclNZaringQcOQZIacutejZ [SX H MeJTbnhdQ H JLhQR[]OO^ JeumlbLNPO NPfcY[hZJZaringNihY` H MN H H MeJUPJUfR[BbLQ H m[SX H MeJ bn[]O H []jhQsOa macr]j bLNPOcentEgraveJ K=[]YQ H QVUPJ[PharingOeJ[]N H QVUPJS^|MQcYaeligNPO QcO H JLhZJUY H QcO[eumlKh[PK=JLh H mOacute[SXiexclhZJ[]QR[]OWVcent-NPYJU^NPb H QVUPJ bn[]O H []jehY^ q O H MeJ bn[]O H hNihYm H [ centEgrave[]jO^NihYmVcentNPYJU^7NPb H QVUPJ bn[]O H []jehdYehZJ[]Qc[]OWVcentNPYJU^7NPb H QVUPJbn[]O H []jehYOslashNPfcfR[WYZ[]ZOslashJKNih H Ytimes[SX H MeJ bLjehYUPJ H [YZMehQsO`WMQcfRJ[ H MeJLhY(JkWKNPO^O^FMjY H MeJaumlQcOQ H QsNPfcQVcurrenUN H QR[]O QcYfRJUYYbn[]OY H hNPQsOeJU^O^^ macr^iexclEacuteltIacuteETHNtildeFETHEacuteshyOacute Eacute10wETH9IgraveumlIgravesup1+shyEacuteltEumlETHETH3EacuteshyOacuterIgrave5euml1ONtildeFETH32EacuteltOacute0EacuteltEgravexIcircEacuteshyIacute5IgraveIgrave2shyNtildeshyIacuteEumlOgraveIgraveIcirclaquoEacute10C8ltIgraveIcircd=KEgrave(ETHEacuteltEgraveIcircMJu[P[]NPf[SX H MQsY$KNih H QsY H [timesbn[]ZaringKj H J H MeJiexclJUP[]fcj H QR[]O JjN H QR[]Oaring[SX H MeJNPb H QVUPJbn[]O H []jehOcircXiacute[Ph0Y[]ZOslashJ(JkeNSZOslashKfcJUY$[SX-hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhY^SgJ H jY H N`PJY[]ZaringJT^eJUYZbnhQcK H [PhY(^eJLKEgraveJUO^QsO[aelig[]O H MeJyZOslashJUNPOBSOtimesOslash [Phiexcl[]O H MeJgUiNihQcNPObnJjuFtimesOslash [SXH MeJOtildeJUP[]fUBQcOF[OslashhZJ[]QR[]OwOumlcopytimesOslashaagravejaringEFFG FFH SOtimesOslashKaagravejumlaacute iacute $ w$ thorn yuml Otilde atilde auml WiexclQ H M icirctimesOslashaacute w$ thorn yuml atilde aumlu centtimes Oslash aagravejsup1aacute iacute $ w$ thorn yuml aOtilde SOtimes OslashKaagravejj cent atilde auml^ macr^f^iumlordfcentltshyltAringordfregethIumlIgravecurrenRAringcentmicroETHfrac34IumlltlaquomicroRreglaquoNOacute]currenRlaquosectsup1jCcedilR RAringordfregL Rlaquo3shy JTbdMe[B[]YJ H MeJgXiacute[]fcfR[WQcO[OslashYJ H [SX^eJUYbnhQRK H [PhYaring

uuml thorn UgraveUcircUacuteUuml yuml ^e[BJUYOe[ H ^eJLKEgraveJUO^[]Owagraveuuml thorn timesOslash yuml aacutecntildeaLuOcenttimes Oslash j a zSjWMJLhZJampntildeaOgravejQsYNOslashKEgrave[]YZQ H QVUPJiexclXqjOb H QR[]O[SX$bLfcNPYYograve aj^MQcYiexclUPJUfR[WbLQ H mumlUPJUb H [PhOslashQcYaumlbn[]ZaringKj H JU^centmeumlhZJLKfcNPbLQsO[ H MeJ H JLhZaringYauml[SXga jgWQ H MH MeJUQch$JkBKhJUYZYZQR[]OY^ J hY H JkWKhZJUYZY H MeJ^eJUYZbnhQcK H [Ph|uuml thorn timesOslash yuml NPYyNTbn[]ZTcentQsON H QR[]O[SXamp^e[]ZaringNPQcOY(QcO H J[PhdNPfcYaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacutemiddot thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn timesOslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejjaacutecntildeoacute agrave thorn timesOslash yuml aagravejagrave thorn timesOslash yumlcent aagravejfocirc a i]j

uumlnyacutenthornnyumll13YSordmY_FPa

yenKbrvbarsect =4 acirc $ fzWMJLhZJSaring EFFG FFH agrave thorn timesOslash yuml aagravejpoundaacute w$ thorn yuml aOtildegta2atildeltszligaumlj SOtimes OslashaagravejjUcirccent atilde aumlagrave thorn timesOslash yumlcent aagravejpoundaacute w$ thorn yuml atilde auml a h]j O^ H MBjYaring aelig thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacuteacircaOtildeKa2atildeshyszligaumlFj S timesOslash aagravejjUcirccentaelig thorn timesOslash yumlcent a2atildeshyszligaumlKszligYagravej|aacute f ad s j Y5XiacuteNihaumlNPY H MeJOslash^e[]Z NPQcO`QsO H J[PhNPfsYUacute[SX H MeJOslash^eJLhQVUiN H QVUPJaelig[SX H MJXqjOb H QR[]OY aelig thorn timesOslash yumlaumlNihZJaumlbn[]ObnJLhOeJU^OeFWFJauml[Pcent H NPQsOOaringEFFFG FFFH w5$ thorn yuml frac14ltotildeouml $_divideoslashfrac14 atilde aumlordmaacute frac14ltugrave $frac14 w$ thorn yuml aOtildeKa2atildeshyszligaumlFj SOtimesOslashKaagravejj atilde aumlaacute sw5$ thorn yuml frac14ltotilde ouml $_divideacircfrac14 atilde aumlordmaacute s adfjMJ H JLhZaringY eacute thorn timesOslash yumlauml NPfcY[aringMNUPJ H [ cent=Jaumlbn[]ZaringKj H JU^OeNPO^tWNtildeJg[PJ H aringEFFFG FFFH eacute thorn

timesOslash yuml aacute w$ thorn yuml uacute ouml $_divideacircntilde raquo7ucirc uacute ouml $_divideoslashuacute ouml $_divideacircyacuteuuml atilde aumlaacutecntilde raquo aLu centtimesOslash jeacute thorn timesOslash yumlcent aacute w$ thorn yumlBthorn uacute ouml $_divideoslashthorn uacute ouml $_divideacirc yuml acirc ntilde raquo ucirc uacute ouml $_divideoslashuacute ouml $_divideacirc uuml atilde aumlregaacute u centtimes Oslash ntilde raquo aLu centtimes Oslash j

G QsObnJ H MeJOslash^e[]Z NPQcO`QsO H J[PhNPfsYiexcl[SX frac14ltotildeouml $ordfdivideoslashfrac14 NPO^ frac14ltotildeouml $_divideacircfrac14 NihZJaeligJBjNPf H [currenLJLhZ[poundadfjeWFJOtildebLNPO ^QRhZJUb H fVm bn[]ZOslashKj H J H MeJiexclUPJUfR[WbLQ H mregUPJUb H [Ph[SX H MeJOtildeNPb H QVUPJTbn[]O H []jehuXiacutehZ[]Za macr]jNPO^WNtildeJyO^Oaringaelig Yacuteaagravejaelig agrave aacuteuumlgtthorn timesOslash yuml uumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn otilde)yuml dacute uumlgtthorn otilde)yuml eacutentilde raquo aLu centtimes Oslash jaaOtilde SOtimesOslashj cent u centtimesOslash jcedilQeacute ad j5Otad jeOgraveWFJbLNPOaringhJZaringNihY` H MeJ(KhZJUYJUObnJ[SX H MJNP^^Q H QR[]ONPf H JLhlZntilde raquo aLuOcenttimesOslash jaaOtilde SOtimesOslashj cent u centtimesOslash jeacuteacirc^^ macr^ ^iumlordfcentltshyltAringordfregethIumlIgravecurrenRAringcentmicroETHfrac34IumlltlaquomicroRreglaquoNOacute]currenRlaquosectsup1jpoundn Rlaquo JTbdMe[B[]YJ H MeJgXiacute[]fcfR[WQcO[OslashYJ H [SX^eJUYbnhQRK H [PhYaring uuml thorn UgraveUcircUacuteUuml yuml ^e[BJUYOe[ H ^eJLKEgraveJUO^[]Owagraveuuml thorn timesOslash yuml aacutecntildeaOtilde S timesOslash aagravejj adS]j

uumlnyacutenthornnyumll13YSordmY_FPo

fi $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJampntildeaOgravejQsYNOslashKEgrave[]YZQ H QVUPJiexclXqjOb H QR[]O[SX$bLfcNPYYograve aj^ YKhZJUWQR[]jYZfVmSe H MeJlaquoUPJUfR[WbLQ H mfrac34UPJUb H [PhTQcYbn[]ZOslashKj H JU^eumlcentmhZJLKfsNPbLQcO[ H MJ H JLhZaringY[SXua jcopyWQ H M H MeJUQRh(JkWKhZJUYZYZQc[]OY^FMeJauml^JUYZbnhQRK H [Ph uuml thorn timesOslash yuml QcY(JkWKhZJUYZYJU^centmKaringuuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacutei thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn times Oslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejjaacutentildeoacuteOtilde agrave thorn timesOslash yuml aagravejagrave thorn timesOslash yumlcent aagravejfocirc adj

WMJLhZJSaring EFFG FFH agrave thorn timesOslash yuml aagravejpoundaacute w5$ thorn yuml Otildegta2atildeltszligaumlj atilde aumlagrave thorn timesOslash yumlcent aagravejpoundaacute w5$ thorn yuml atilde auml adSmacr]j O^ Y[aring aelig thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejOcircaacuteegraveOtildegta2atildeltszligaumljaelig thorn timesOslash yumlcent a2atildeshyszligaumlKszligYagravejOcircaacute f adS]jG QsObnJ H MeJordfXiacutejOb H QR[]OY aelig thorn timesOslash yuml NPO^ aelig thorn timesOslash yumlcent ^e[aringO[ H ^eJLKEgraveJUO^[]OtagraveeFWFJTMNUPJSaringEFFFG FFFH w$ thorn yuml frac14ltotilde5ouml $ordfdivideoslashfrac14 atilde aumlregaacute s

w$ thorn yuml frac14ltotilde5ouml $ordfdivideacircfrac14 atilde aumlregaacute s ad]zSjMJ H JLhZaringY eacute thorn timesOslash yumlauml NihZJ H MJUObn[]ZOslashKj H JU^eNPO^WFJauml[Pcent H NPQcOOaringEFFFG FFFH eacute thorn

timesOslash yuml aacute w$ thorn yuml thorn uacute ouml $ordfdivideacircntilde raquo7ucirc Otilde uacute ouml $ordfdivideoslashuacute ouml $ordfdivideacircyacuteuuml atilde aumlaacute thorn iacute $ w$ thorn yuml ntilde raquo aOtilde SOtimesOslashj atilde aumleacute thorn timesOslash yumlcent aacute w$ thorn yuml uacute ouml $ordfdivideoslashthorn uacute ouml $_divideacirc yuml acirc ntilde raquo ucirc Otilde uacute ouml $ordfdivideoslashuacute ouml $ordfdivideacirc uuml atilde aumlordmaacute ugrave $iacute $ w$ thorn yuml ntilde raquo aOtilde SOtimesOslashj atilde auml JUacutebLNPO H MeJUObn[]ZOslashKj H JUacute^QRhZJUb H fm H MJ_UPJUfR[WbLQ H mUPJUb H [Ph[SX H MeJUacuteNPb H QVUPJOtildebn[]O H []jhXiacutehZ[]Zigravea macr]j(NPO^WNtildeJyO^Oaringaelig Yacuteaagravejaelig agrave aacuteuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yumldacute uuml thorn otilde)yuml eacute aOtilde SOtimesOslashjicircFtimesOslash $ thorn yuml ntilderaquo)aOtilde SOtimesOslashjmiddotQeacute adSi]j

5O H MeJtimesKNih H QsbLjfcNihiexclbLNPYZJIacute[SXIcircntildeaOgravejuaacuteOslashScenteKWFJtimesMNUPJnntilde raquo aOgravejcopyaacute NPO^ H MeJLhZJXiacute[PhZJSeH MeJiexclNP^^Q H QR[]ONPf H JLhlZaringYebn[]ZaringQcO[gXiacutehZ[]Z H MeJ UiNihQcN H QR[]O [SX H MeJiexcl^eJUYbnhQRK H [PhYOcircWQ H MagraveeNihJJjNPf H [gcurrenLJLhZ[^[WNtildeJUPJLheWQsOordmZOslash[]Y H bLNPYZJUYe H MQsYyNP^^Q H Qc[]ONPf H JLhlZoslashQsYyOe[ H

uumlnyacutenthornnyumll13YSordmY_FPy

yenKbrvbarsect =4 acirc $ fhcurrenLJLhZ[^ not [PhaeligJkeNSZOslashKfRJSeampQVXUgraventildea]jaacute yuml Wiexcl cent eshyWiexclQ H MN`KEgrave[]YZQ H QVUPJ bn[]OY H NPO H eQWFJMNUPJSaring

ccedil aacuteFuumlgtthorn timesOslash yuml uumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn otilde)yuml uumlgtthorn otilde)yuml eacute aOtilde SOtimesOslashjicircFtimesOslash $ thorn yuml aOtilde SOtimesOslashj IcircAumlaOtilde SOtimesOslashj cent adSh]j^ ^~IacuteFEumlIgraveFIacute5IgraveFOacuteETHNtildeFETHEacuteshyOacuteAgraven13ETH9 ETH9IgraveumlEumlIgravesup1+ltIgraveFEumltIcircIgraveFETHbIacute5IgraveFETH9shyEacute18 YXqNih0NPY H MeJOBjFZOslashJLhdQcbLNPfeQZOslashKfcJZOslashJUO H N H Qc[]OtimesQsYybn[]ObnJLhOeJU^eSWNtildeJbLNPOZOslash[W^eJUf H MeJNPb H QVUPJaumlbn[]O H []jeh_WQ H MNPOJkBK-fcQcbLQ H KNihNSZOslashJ H JLhdQVcurrenUN H QR[]ObaN[PhNPO[]QcNPOXiacute[PhlZtimesjfcN~VH QR[]OKjaelig[Ph NPO QCZOslashKfcQcbLQ H []OeJraNtildejfRJLhQsNPO Xiacute[PhlZIacutejfcN H QR[]Ogtj^ G JLJra G J H MQcNPOOe5fhSh s jNPO^egraveaJUfcQcO[PJ HH J NPO^ _a[]O H N[]ON H e sSs fjX[PhaeligNPOQcO H JLhZJUY H QcO[eumlbn[]ZOslashKNihdQcY[]OcentEgraveJ H WFJLJUO H MeJ H WNtilde[ZOslashJ H M[B^Y^ iexclO[ H MeJLhOtildeQcO H JLhJUY H QcO[aringhJUBQRJW[]O H MeJtimes^Q=JLhJUO HZOslashJ H M[B^Y[SX$NPb H QVUPJIacutebn[]O H []jehQcY(Kh[PK=[]YZJU^ QcOpoundaw_[]O H N[]ON H J H NPfd^Ve sSs fj^iexclJLhZJSeWFJaumljYJ H MeJaumlfRJUPJUfYZJ H ZOslashJ H Me[W^ NiKKhZ[]NPbdM KhZ[PKEgrave[]YJU^centm q YMeJLhNPO^G J H MQcNPOa q YZMJLh NPO^ G J H MQcNPOe fhSiSi]j centj H hJ[]QR[]OWVcentNPYJU^ NPb H QVUPJeumlbn[]O H []jehdYZaringNmNPfcYZ[ centEgraveJQZOslashKfcJZOslashJUO H JU^7centmjYQcO[`XNtildeV4YK-fcQcOeJUYXiacute[PhaeligNPOJkWKfcQsbLQ H K-NihNSZOslashJnVH JLhQcurrenUN H QR[]O ayhZJUbLQc[]Y[ NPO^XNihfcNPj^Oe sSs fj^shyMJ`PJmeumlQc^eJUN [SX H MeJOslashfRJUPJUfampYJ HZOslashJ H M[B^QsY H [ QcO H hZ[W^jbnJaumlNPO`NPjkWQsfcQcNihYmXiacutejOb H QR[]O l a2atildeltszligaumlgtszligYagravejYZjbdM H MN H YacuteaagravejQcY H MJtcurrenLJLhZ[OacutefRJUPJUfYJ H [SX l ^OcircMJXiacutejOb H QR[]O l QsYaelig[SX H JUO bMe[]YJUO H [centEgraveJ H MeJYZQ[]OeJU^ ^QcY H NPObnJordfXiacutejOb H QR[]O[SXQYacuteaagraveje-NPO^ QsY H MeJUObdMNihNPb H JLhQVcurrenLJU^acentmKaring

YacuteaagravejOcircaacute a2atildeltszligaumljPO l a2atildeshyszligaumlKszligYagravejaacute s a2 s jMQcYOcirc0jfRJLhQcNPOordmXiacute[PhlZtimesjfcN H QR[]O KhZJUYZJUO H YFYJUPJLhNPfEgraveNP^UiNPO H N[PJUYga G J H MQcNPOOeKfhShS]j^not QRhY H fVmSe H MeJabLjehYUPJ l ZaringNmcenthJUN`[PhoZOslashJLhY[PJNPY H MJXiacutejOb H QR[]O l JUP[]fUPJUYeNPO^ H [PK=[]fc[S[]QcbLNPfbdMNPO[PJUYFNihZJ H MBjY$JUNPYZQsfVmOslashMNPO^fRJU^^ G JUbn[]O^fVmSe H MJJUP[]fVUWQcO[XqjOb H QR[]O l a2atildeshyszligaumlKszligYagravejNPfVWNmWY(hZJZaringNPQcOY(NlaquoXiacutejOb H QR[]O NPfcfR[WQcO[timesJltz bLQRJUO H OBjFZOslashJLhVQcbLNPfFYZbdMeJZOslashJUY^OcircMQRh^fVmSe H MeJ[PJL[]ZOslashJ H hQcb KhZ[PKEgraveJLh H QcJUYT[SX H MeJ bLjehYUPJSe$fcQV`PJ H MeJbLjehlU~N H jehJ NPO^ H MeJOslashOe[PhlZ NPfshyUPJUb H [PhordfJUfs^eacute e=bLNPO centEgraveJIacuteJUY H QZaringN H JU^euml^QRhZJUb H fmXiacutehZ[]Z H MeJTfcJUPJUfgYJ H XqjOb H QR[]Oaring aacute V ucirc l l uuml NPO^ eacuteecircaacute l l a2FfjMJJUP[]fsj H QR[]O JBjN H QR[]O H MeJUO centEgraveJUbn[]ZOslashJUYaringaelig l aagravejaelig agrave aacuteegraveccedilacute l a2 jMJregUPJUfR[WbLQ H msup1XiacutejOb H QR[]OxccedilEQcYIacutebn[]ZaringKj H JU^7[]OfVm[]O H MeJbLjehYUPJYacuteaagravejaumlcent-j H WFJbLNPO Jk H JUO^ Q H YFJkBKhZJUYZYZQR[]O H [ H MeJiexclWMe[]fRJUacuteQZaringN[PJOtilde^e[]Z NPQcOoOumlordf^[OslashQZOslashKfRJZaringJUO HH MeJIacutefRJUPJUf9YJ H ZOslashJ H Me[W^OeY[]fsj H QR[]OYuZtimesjY H centEgraveJgXiacute[]jO^ H [ bLQRhbLjZyUPJUO H Kh[PcentfRJZaringY

uumlnyacutenthornnyumll13YSordmY_FP

s $amp)(+-)013021+345627893lt=gt9A6CBbn[]ZaringQsO[ Xh[]Z H MeJpoundXqNPb HH MN H`H MeJYZQV[]OeJU^ ^QcY H NPObnJumlXqjOb H Qc[]O l QcYaOe[ H NY[]fsj H QR[]O[SX H MeJyiexcl a2 jeEgraveYJLJa []ZOslashJUYNPO^ not NPjF[PJLhNPYe sSsSs jyacuteXiacute[Phiexcl^J H NPQcfcY^5Oaelig[]jehWF[PhY`gte H MJuXiacutejOb H QR[]O l QcYamphZJUQsOQ H QcNPfcQcurrenLJU^TY[ H MN H Q H hZJZaringNPQcOYampNOtilde^QsY H NPObnJXqjOb H QR[]OenYZJLJ5aq jecentEgraveJLh H NPO^gcOtilde[PhdOeKhZ[PcentY H e sSs fJLcenthZJUjFUPJSe sSsSs jOXiacute[Ph^J H NPQcfcY[]O H MJOtildehZJUQcOQ H QsNPfcQVcurrenUN H QR[]O JBjN H QR[]OO^5Oeuml[Ph^eJLh H [QCZOslashKhZ[UPJaringOjFZaringJLhQcbLNPfJltz bLQRJUObmSeOWFJaringbn[]ZOslashKj H J H MeJOslashJjN H QR[]O[]O NIacuteONihhZ[Wcent-NPO^aringJUObLfc[]YZQcO[ H MJiexclfRJUPJUf s [SX H MeJUacutefRJUPJUf-YJ H XqjOb H Qc[]OO^ JUacuteNPfcY[jYZJZtimesjf H QRhZJUYZ[]fcj H QR[]O H JUbdMOQBjeJUYcentmZaringN`BQsO[ H MeJFNPb H QVUPJ(bn[]O H []jh$JUP[]fVUPJcopyhY H[]ONOslashfc[W hZJUYZ[]fcj H QR[]O QZ N[PJS^FMeJordfONPfbn[]O H []jeh[Pcent H NPQcOeJU^Xiacute[Ph H MQcYhJU^jbnJU^QZ N[PJaumlQcY H MeJUOjYJU^ NPYNPOQsOQ H QcNPfEgravebLjehYUPJordfXiacute[Ph H MJOtildehZJUNPfgYZQVcurrenLJaumlQCZaringN[PJS^

EparaacuteAgravegtmicrosup1acuteIKJcedilJT2MgtI MraquowMgtmicrosup1MAgravegtacuteIltacuteMgtPltAtilde iquest acuteAgravegtT2MKIshyAtildeAcirccedilAtildeacuteNicircMgtI cedilAEligMgtmicroOcircacuteOgraveJTCJT13MKI sup2OcircacuteJordfsacuteacuteI Jfrac14ltacutegcedilFLT2cedilIshyROgraveacuteAtilderaquoAMLBqoLacute13AtildeR]cedilsup32acute GmicrobcedilAgraveacuteAtilde5O H MQcYUacuteYJUb H QR[]OOeOWFJOslashKhZ[PKEgrave[]YJaeligY[]ZOslashJOslashhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhY H [YJ[iVZOslashJUO H M[]ZOslash[S[PJUOeJL[]jYiexclhZJ[]QR[]OYiexcl[]Ofrac34[PhZJmBYbLNPfRJIacuteQZ N[PJUY^gtMJUYJIacute^eJUYbnhQRK H [PhYiexclNihZJcentNPYZJU^[]O H MJZaringQcOQZaringQVcurrenUN H QR[]O [SX H MeJU~NihdQcNPObnJUYauml[SX H MJ H WF[`bn[]OYZQc^eJLhZJU^OacutehZJnV[]QR[]OY^ 5O H MJ7YJUbn[]O^ K-Nih H e H MJQZOslashKEgrave[Ph H NPObnJOacute[SX H MeJNP^^Q H QR[]ONPf H JLhZaringYebn[]ZaringQsO[XiacutehZ[]Z H MeJiexclU~NihdQcN H QR[]O [SX H MeJUacute^eJUYZbnhQcK H [PhYWQ H M H MeJiexclJUP[]fUBQcOF[IacutehZJ[]Qc[]OYeQcY9MQV[]MfcQ[]M H JU^O^ G QCZOslashKfRJJkWNSZaringKfRJUY9YMe[W H MeJ0QZOslashKEgrave[Ph H NPObnJ$[SX H MeJUYJ0NP^^Q H QR[]ONPfH JLhlZ Y H [ NPbMQRJUPJ H MeJOtildeJkWKEgraveJUb H JU^aYJ[]ZaringJUO H N H QR[]O^^f^laquoIgraveIcirc=KEgrave(FETHOEacuteltEgraveIcircEcircgtNtildeltIcircIgrave8 EacuteshyOacute ETH9Igravek+NtildeshyEgrave13NtildeshyOacute=KIgraveC0EacuteshyEgraveh4ltEgraveOIgravesup1QIcirc=NtildeltEumlOgraveIgrave2Iacute Ntilde4ltIgraveIcircMJQcO H JUOYZQ H mregXiacute[Phu[PhZJmWYZbLNPfRJaumlQZ N[PJUY(QcYhZJLKhZJUYZJUO H JU^centm NlaquoXqjOb H QR[]OOtilderegaringOgraveOumlOtilde 13ordfcentwntilde Otilde 13laquo^ JaKhZ[PKEgrave[]YJ H [bZaringQcOQZaringQVcurrenLJ H MeJU~NihdQcNPObnJUYOslash[SX H MeJ H WF[bn[]OYZQc^WVJLhZJU^ Me[]Zaring[S[PJUOeJL[]jY hZJ[]Qc[]OY QcO [Ph^eJLh H [YJ[]ZOslashJUO H H MeJZ^uMJXiacute[]fcfR[WQcO[^eJUYbnhQRK H [PhY(NihJaumlYZj[S[PJUY H JU^OaringEFG FH uuml thorn UgraveUacuteUuml yuml aacutecntildeaLuOcentUgraveUacuteUuml juuml thorn times Oslash yuml aacutecntildeaLuOcenttimes Oslash juuml thorn otilde)yuml aacutecb a2Ograve]jWMJLhZJjntildea]jQcYNOslashKEgrave[]YZQ H QVUPJordfXiacutejOb H QR[]O [SX$bLfcNPYZYEacuteograve aOtilde 13yj(NPO^kb`NOslashKEgrave[]YZQ H QUPJaumlbn[]OWVY H NPO H ^MJTbn[]ZOslashKj H N H Qc[]O[SX H MeJUPJUfR[BbLQ H mUPJUb H [PhaumlQcY^JU^jbnJU^tXiacutehZ[]Z H MeJIacutebn[]ZOslashK-j H N~VH QR[]O`[SX H MeJaelig^eJLhQVUiN H QVUPJIacute[SX H MeJtimesbnhdQ H JLhQR[]Opoundocirc7^eJUPJUfR[PKEgraveJU^ QcO G JUb^^ macr^feWMQsbMfRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[aeligJUP[]fcj H Qc[]O JjN H QR[]OOaringaelig Yacuteaagravejaelig agrave aacuteethntildeaLu centtimesOslash j ntildeaLu centUgraveUcircUacuteUuml jb ntilderaquo)aLu centtimesOslash jaaOtilde S timesOslash j cent u centtimesOslash j ntilde raquo aLu centUgraveUcircUacuteUuml jaaOtilde SUgraveUcircUacuteUumlj cent u centUgraveUacuteUuml jIcirc13eacute a2Sj

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ fMJiexclYZQcOF[]fRJiexclK-NihNSZOslashJ H JLhcopyWNtildeJOtildeOeJLJU^ H [aringNP^~ZjY H QcY H MeJUacuteYYZOslash[B[ H MQcO[timesKNihNSZOslashJ H JLhb^5OregXqNPb H e H MeJ X [W ethb MNPY H MeJiexclKhZ[PKEgraveJLh H QRJUYNtilde[SXYYZOslash[B[ H MQcOF[IacutecentEgraveJUbLNPjYJOtildeQ H ZOslash[UPJUYH MeJUacutebLjehYUPJUacuteQcO H MeJUacute^QRhZJUb H QR[]O [SX9Q H YfRJUOF[ H MregXqjOb H QR[]ONPfQa G Qs^^QBQeJ H NPfd^VeOfhShS]j^^ ^~IacuteEacuteltEgraveETHOgraveNtildeltOacute=KIgravefrac34Eacute10frac34ETH9Igrave Ntilde8182ETHEacuteshyOacuteNtildeshyEumlETHIgraveFEgraveOIacute5Icirc5O[Ph^JLh H [7JU~NPfcjN H J H MeJ QZOslashKEgrave[Ph H NPObnJ`[SX H MeJ`NP^^Q H QR[]ONPf H JLhlZaringYX[Ph H MeJYJ[]ZaringJUO H N H QR[]OeuWNtildeJpoundZaringN`PJ H MJeumlNPb H QUPJbn[]O H []jehaJUP[]fVUPJ H MehZ[]j[]M H MJ iexcla2SjeQsObLfcj^QsO[ H MeJaumlNP^^Q H QR[]ONPf H JLhlZaringY^ q O H MeJUacute[ H MeJLhMNPO^OeWNtildeJaumlNPfcYZ[ZaringN`PJQ H JUP[]fUPJfrac34WQ H M H MeJwXiacute[]fcfR[WQcO[ WhZ[]OF[JUP[]fcj H QR[]OJjN H Qc[]O H MN H ^e[JUY Oe[ HQcObLfcj^eJ H MeJaumlNP^^Q H QR[]ONPf H JLhlZaringYaringaelig Yacuteaagravejaelig agrave aacuteethntildeaLu centtimesOslash j ntildeaLu centUgraveUcircUacuteUuml j`b Qeacute iuml a2Ogravemacr]jnot [Ph H MeJOtildeJkWKEgraveJLhQZOslashJUO H YeWFJ H N`PJntildeaOgravejOcircaacute ILK KafcediliexclOgravejWMQsbM[]QVUPJUYntilde raquo aOgravejaacutefdOafcedil]j(NPO^ H MeJgUiNPfcjeJOtilde[SX H MeJaumlKNihdNSZOslashJ H JLhEacutebaQcY(YJ HH [frac34f s ^OcirckBKEgraveJLhQCZOslashJUO H Y NihZJ KEgraveJLhYX[PhZOslashJU^ []O NYmWO H MJ H Qcb`QCZaringN[PJumlZaringNP^eJeumljeK [SXTNPO

Me[]Zaring[S[PJUOeJL[]jYYYBjNihZJ[SX9QcO H JUOYZQ H mwf s []O NIacutecentNPbl`[PhZ[]jO^ [SX9QcO H JUOYZQ H mtf s ^ []NPjYZYZQsNPOOe[]QcYJUacute[SXUiNihQcNPObnJ s QcY(NP^^eJU^ H [ H MQcY(YmWO H MJ H QcbOtildeQZaringN[PJS^MeJOtildeJUP[]fcj H QR[]Oa[SX H MeJTNPb H QVUPJtimesbn[]O H []jehUacute^ehQUPJUOcentmpounda2SjQcYu[]QVUPJUO`QcO not QV[^ WMQcfRJ H MeJ[]OeJ`[Pcent H NPQcOeJU^ jYZQcO[ a2Ogravemacr]j QcYordm[]QUPJUO QcO not QV[^ ^ J bLNPO hZJZaringNihY`H MN H WMeJUO H MeJoiexclQsObLfcj^eJUY H MJ NP^^Q H QR[]ONPf H JLhZaringYe H MJ YYBjNihZJ QcYgWFJUfcfYJ[]ZaringJUO H JU^acirca not QV[^ ^bjeuWMeJLhJUNPYWiexclMeJUO H MeJ |iexclD^e[BJUY Oe[ H QsObLfcj^eJ H MeJUYJNP^^Q H QR[]ONPf H JLhZaringYwWFJ7[Pcent H NPQcO N bLQRhbLfcJOacuteQcOY H JUNP^ [SX H MeJ7JkBKEgraveJUb H JU^YYBjNihZJa not QV[^ ^bj^MeJUYJhZJUYZjf H YNtildebLNPOcentEgraveJcentEgraveJ HH JLh(jO^eJLhY H [[W^WMQcfRJNPONPfmcurrenUQcOF[ H MeJiexclUPJUfR[WbLQ H mUPJUb H [PhYUacute[SXNtildeJUNPbMJUP[]fsj H QR[]O JjN H QR[]OO^ Jaringbn[]ZOslashKNihZJ H MeJ H WF[ JUP[]fcj H QR[]OYiexcl[SXH MeJlaquoUPJUfR[WbLQ H mwUPJUb H [PhYauml^jehQcO[ H MeJaeligKhZ[PKN[]N H Qc[]Oeuml[SX H MeJOslashbLjehYUPJwa2WiexclQ H Me[]j HH MeJcentEgrave[]jO^NihYmVcent-NPYJU^ H JLhlZb j^MeJ(JUP[]fcj H Qc[]OOslash[SX H MeJNSZOslashKfsQ H j^eJ[SX H MeJyacuteUPJUfR[Wb|VQ H mregUPJUb H [Ph[SXQ|iexcla2SjFQsY[]QUPJUO QcO not Q[aqYj^ ^ ^OecurrenJSe Xfrac34]eWMQsfRJ H MeJOtildeNSZOslashK-fcQ H j^eJ[SX H MeJUPJUfR[WbLQ H mwUPJUb H [PhOtilde[SX||iexclacirca2Ogravemacr]jiexclQcY []QUPJUO`QcO not QV[aqYj^ ^ ^OecurrenJSe Xfrac34]^ JOslashbLNPO[PcentYZJLhYUPJ H MN HaringH MeJUPJUfc[BbLQ H msup1WiexclQ H Me[]j HaeligH MeJNP^^Q H QR[]ONPf H JLhlZaringY QcYaeligNbn[]OY H NPO HWMJLhZJ [PcentUWQR[]jYfVm H MJaQZaringN[PJfrac34XJUN H jehJUY ^e[OacuteO[ H NiKKEgraveJUNih^ q O H MeJabn[]O H hNihYmH MeJaumlQCZaringN[PJordfXJUN H jhZJUYuWFJUfcfNiKKEgraveJUNihQcO H MeJordfUPJUfR[WbLQ H m QcObLfcj^QcOF[ H MeJaumlNP^^Q H QR[]ONPfH JLhlZ Yya not QV[aqYj^ ^ ^OecurrenJSe Xfrac34jiexclNPO^ Y[ H MeJaumlYljNihJTbLNPO centEgraveJordfWNtildeJUfsfYJ[]ZOslashJUO H JU^O^MeJyKhZJUWQR[]jYEgravehJUYZjf H YgYMe[W H MN H Q H QcY[SXeKhQCZOslashJ$OeJUbnJUYZYZQ H m H [ H N`PJQcO H [NPb|Vbn[]jO H0H MJNP^^Q H QR[]ONPf H JLhZaringYeWbn[]ZaringQcO[XhZ[]Z hZJ[]QR[]OeV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhYeQcO[Phd^eJLh H [ hZJUNPbdMaN H hdjeJgZaringQcOQCZIacutejFZ [SX H MeJaumlbnhQ H JLhdQR[]OO^

uumlnyacutenthornnyumll13YSordmY_F

S $amp)(+-)013021+345627893lt=gt9A6CBEIumlparaacuteAgravegtmicrosup1acuteIKJcedilJT2MgtI MraquoordfAEligMgtsup32MLwMKmicrobMgtAgraveacuteIshyacuteMgtPltAtilde iquest acuteAgraveKT13MKIshyAtildeAcirclaquocedilFAtildeacuteNicircMKIJfrac14ltacutepoundAEligMAringcedilFLT2cedilIltR]acuteHcedilJLTOcircfrac12sup3T13ROgravecedilJT2MgtI JMAgraverltcedilFR]acuteacuteJacuteR]JT2MgtIicircT2ItT2NQacuteM paraacutePshyacuteIltR]acuteAtildeMQcY0K-Nih H ^eJUNPfcYWQ H M H MeJOtildeYJ[]ZOslashJUO H N H QR[]O [SXMe[]ZOslash[S[PJUOeJL[]jY(hZJ[]QR[]OYQcOZtimesjfuVH QcYZK=JUb H hdNPfQZaringN[PJUY^ YNPOaJkWNSZaringKfRJSeWFJIacuteYZMe[W H MN HiexclH MeJTbn[UiNihQcNPObnJZaringN H hQVkbLNPOacent=JIacuteNUPJLhYm KEgrave[WFJLhYXqjf H [B[]f H [ YJ[]ZOslashJUO H Me[]Zaring[S[PJUOeJL[]jYbn[]fR[PhiexclhJ[]QR[]OY^F5OXqNPb H e H MeJtimes^eJ H JLhlZaringQsONPO H [SX H MeJTbn[U~NihQsNPObnJZ N H hQkKhZ[UPJUY H [ centEgraveJIacuteNaringhJUfRJU~NPO Hbn[]fR[PhaelighZJ[]Qc[]O7M[]ZOslash[S[PJUOeJUQ H msup1ZOslashJUNPYZjhZJZOslashJUO H a G NPO[SWQcOeJ NPO^r[PhdOeJSeufhShSi]j^_`QcOQZ QVcurrenUQcO[ H MQcYjNPO H Q H m ZOslashJUNPOY H MN H WFJwWNPO HH [^eJUbnhZJUNPYJ H MeJeumlbn[]ZaeligVKfcJkWQ H m[SXUacuteNeumlhZJ[]QR[]Oa hdNmJ H NPfd^Ve sSs fampN H JUjke sSsSs j^MQcY H [B[]fuZaringNmKhdNPb H QcbLNPfcfVm cent=JaumljYJU^X[Ph XiacuteNPbnJtimes^eJ H JUb H QR[]OaQsO QZaringN[PJaumlYJBjeJUObnJUY^macr^f^laquoIgraveIcirc=KEgrave(FETHOEacuteltEgraveIcircEcircgtNtildeltIcircIgrave8 EacuteshyOacute ETH9IgraveAgrave=Eacute3+NtildeshyEgrave13NtildeshyOacute=KIgravefrac34Iacute_NtildeFETHEgraveEcirc20EacuteshyEgrave=EacuteshyEumlEacuteshyEgrave2Iacute Ntilde4ltIgraveIcircMJQcO H JUOYZQ H mxXiacute[Ph bn[]fR[Ph QCZaringN[PJUYaringQcYOslashhJLKhZJUYJUO H JU^centm7NpoundXiacutejOb H QR[]OOtildeegravearingOumlOtilde 13ordfcent ntilde Otilde 13 WMeJLhZJ Otilde aacute Otilde szligYOtildeOgravecentszligYOtilde13ordf ^iexclXm NPONPfR[S[SmAumlWQ H M H MeJOacuteY H j^Fm Xiacute[Ph[PhZJmWYZbLNPfRJFQZaringN[PJUYeWNtildeJZaringQcOQCZaringQVcurrenLJ H MeJNtilde^J H JLhlZaringQcONPO H [SX H MeJFbn[UiNihQcNPObnJcopyZaringN H hQVk[SX H MeJTbn[]OYQc^eJLhZJU^hZJ[]Qc[]OY^ J5ZaringNmaringNPYYZjFZOslashJ H MN H JUNPbdM bn[]fR[PhFhZJ[]QR[]Oacute13 QsYOcircZOslash[W^eJUfcfRJU^OslashcentmOslashNg[]NPjYYZQcNPO^QsY H hQRcentj H QR[]Oeuml[SXyacuteZOslashJUNPOiexclSegraveaacute S szligPS cent szligPS NPO^7bn[UiNihQcNPObnJZ N H hQk5^MeJKh[PcentNicentQcfcQ H maring^eJUOYQ H moXiacutejOb H QR[]O QcYu[]QUPJUO centm H MeJgXiacute[]fcfR[WQcO[aeligJkWKhZJUYZYQR[]OOaring

$ampamp aOtildejOcircaacute fa )( j +cent aq^J H ayacutejj cent JkWK- f aOtilde Sltj thorn aOtilde Sltj a2Ograve]jG [eZaringQcOQZaringQVcurrenUQcOF[ H MJbn[U~NihdQcNPObnJuZaringN H hQktimes^eJ H JLhlZaringQcONPO H [SX-NPOtimesJUP[]fVUWQcO[hJ[]QR[]ONiKKEgraveJUNihY H [OslashcentEgraveJNtimeshZJUfcJU~NPO HH [[]f H [ordmZaringN`PJ H MQcYFhZJ[]Qc[]O bn[]OUPJLhY[PJ H [WFNih^Y H MeJbLfR[]YZJUY H Me[]ZOslash[S[PJUOeJL[]jYbn[]fR[PhiexclhZJ[]QR[]OO^9J H jY$Oe[ H J timesOslash NPO^0copyUgraveUcircUacuteUuml H MJbn[UiNihQcNPObnJ5ZaringN H hQcbnJUYy[SX=hJUYKEgraveJUb H QVUPJUfVmordmOuml timesOslash aagravejNPO^tOuml UgraveUacuteUuml aagravejaring

atilde aacute213 u Patilde u centatilde u atildeu cent atilde u centcentatilde u cent4atildeu5 atilde u5centatilde u54atilde67 a2zSj

WMJLhZJSaringEFFG FFH u times aumlatilde aacute iacutefaring w aring thorn yuml aOtilde times S times atilde jaOtilde auml S auml atilde j atilde aumlS times atilde aacute iacutefaring w aring thorn yuml Otilde times a2atildeltszligaumlj atilde auml WQ H M aacuteiVIgraveOacute[Ph Kf5

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ J [PcentUWQR[]jYZfm`MNUPJacuteu times aumlatilde aacuteu auml timesatilde ^shy9J H jYaumlO[ H J ^eJ H a atilde j H MJ ^eJ H JLhlZaringQsONPO H [SXH MeJaumlbn[U~NihdQcNPObnJZ N H hQkWiexclMQcbMJkBKhJUYZYZQR[]O QcY H MJgX[]fsfR[WQsO[aring

^eJ H a atilde jumlaacute u Patilde u centcentatilde u 4atilde u centatilde u atilde u cent4atilde u Patilde u cent4atilde u cent4atilde u centcentatilde u atilde u atilde u 4atilde u centatilde u centatilde a2Ogravei]jnot jOb H QR[]OY [SX H MeJeumlbn[UiNihQcNPObnJpoundZaringN H hQk ^eJ H JLhZaringQcONPO H YNihZJ jYJU^ NPY hJ[]QR[]O^eJUYbnhQRK H [PhY^ JIacutebMe[B[]YJ H MJordfX[]fcfc[WQcOF[aeligYZJ H [SX$^eJUYZbnhQRK H [PhYaringEFG FH uuml thorn UgraveUcircUacuteUuml yuml aacute98ordfaq^eJ H acopyUgraveUcircUacuteUumlAjjuuml thorn timesOslash yuml aacute98ordfaq^eJ H a timesOslash jjuuml thorn otilde)yuml aacuteOslashb a2Ograveh]jWMJLhZJ8ordfaOgravejFQcYNOslashKEgrave[]YZQ H QVUPJiexclXiacutejOb H QR[]O [SXampbLfcNPYZYograve aOtilde 13yjFNPO^Cb`NOslashKEgrave[]YZQ H QVUPJOtildebn[]OWVY H NPO H ^gJ H jYNtildeOe[W WhQ H J H MeJJUP[]fcj H Qc[]OaringJBjN H QR[]O [SX H MeJiexclNPb H QUPJbn[]O H []jehcentmbn[]ZOslashK-j H QcO[ H MJIacute^QEgraveJLhZJUO HH JLhlZaringYiexcl[SX_a j^J H NPQcfcYiexcl[SX H MeJIacutebn[]ZaringKj H N H QR[]O bLNPOcentEgraveJgXiacute[]jO^QsOaNiKKEgraveJUO^QVk X5^gtMJaumlJUP[]fcj H QR[]O`JBjN H QR[]O[SX H MJIacuteNPb H QVUPJaeligbn[]O H []jhQcY H MJgX[]fsfR[WQsO[aringaelig Yacuteaagravejaelig agrave aacute8gaq^eJ H atimesOslashjj 8ordfaq^eJ H a UgraveUcircUacuteUuml jj`b admacr s jlt8Icircraquodaq^eJ H a times Oslash jgt= ccedil A B egrave aOtilde S timesOslash jaOtilde B5 S BtimesOslash jB^eJ H aDC EBtimesOslash ja fj BGFH amp^eJ H atimesOslashj48 raquo aq^eJ H atimesOslashjj 8Icircraquodaq^eJ H a UgraveUacuteUuml jgt= ccedil I B egrave aOtilde Eacute S UgraveUcircUacuteUuml jaOtilde B S BUgraveUcircUacuteUuml jB^eJ H aDC JBUgraveUacuteUuml ja fj BKFH amp^eJ H a UgraveUcircUacuteUuml j48 raquo aq^eJ H a UgraveUcircUacuteUuml jjcedil13eacuteMJZaringN H hdQkLC JBatilde QsY ^JU^jbnJU^icircXh[]Z H MJeumlbn[U~NihdQcNPObnJbZaringN H hdQkM atilde centm YZjeKeVKhJUYZYZQcO[ H MeJ uuml UumlON hZ[WENPO^ H MeJ I UumlON bn[]fcjFZaringO^MeJeumlfcNPY H Xiacute[]jeh fsQcOeJUY [SX H MeJJBjN H QR[]ONihZJ H MeJOtildeNP^^Q H QR[]ONPf H JLhZaringY(bn[]ZaringQcO[XiacutehZ[]Z H MeJiexclU~NihQsN H QR[]O [SX H MeJOtilde^eJnVYZbnhdQRK H [PhYWiexclQ H Mordmagrave^ Y0Q H MNPYycentEgraveJLJUOOslashKhJUBQR[]jYZfVmTKhZ[UPJU^X[Ph[PhZJmWYZbLNPfRJiexclQCZaringN[PJUYeH MeJUYZJ H JLhlZaringYMNUPJ H [ cent=Jaumlbn[]OYZQc^eJLhZJU^ QsO[Ph^eJLh H [regZ N`PJ H MeJTNPb H QUPJTbn[]O H []jhbn[]OUPJLhY[PJ H [WFNihd^YNZ QcOQZtimesjFZ [SX H MJTbnhQ H JLhQc[]OO^macr^ ^~THORNUgrave2FIgraveFEgrave2Iacute_IgraveFOacuteshyETHOgraveNtildeshyEumlEgraveOIgraveIcircdEumlETHOIcircnot [Ph H MJ JkWKEgraveJLhQZOslashJUO H YeQWNtildeJ H N`PJCntildea]jordmaacute ILK Kaf[]jgWMQsbMsup1[]QVUPJUYnntilde raquo aOgravejaacutefdOafWOgravej(NPO^8ordfaOgravejaacute ILK KafIcirch cent juWMQcbdMt[]QVUPJUY8 raquo aOgravejaacute ETHOafIcirch cent j^ JbdMe[[]YZJ bbaacute f s ^QMeJaringbn[]fR[PhtimesYKNPbnJ YJUfcJUb H JU^QcYaQPszlig l szligicirclaquojeltWMeJLhZJwaOtilde aacuteRPordmjhZJLKhZJUYJUO H Y H MeJfsjFZaringQcONPObnJNPO^waOtildeOgravecent5aacute l j$NPO^frac34aOtildeS aacuteOslashicircj$hZJLKhZJUYJUO HyH MeJ H WF[bdMehZ[]ZaringQcONPObnJUY^ not [Ph H MeJbn[]ZaringKj H N H QR[]OOslash[SX H MeJuUiNihQcNPObnJSei[]Ofm H MeJfcjZaringQcONPObnJQcY(jYJU^O^

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CB5Oaring[Phd^eJLh H [aeligYJ[]ZOslashJUO H NPO Me[]ZOslash[S[PJUOJL[]jY0hJ[]QR[]OOeOgraveWFJiexclY H Nih H WQ H M NPO QcOQ H QcNPf

bLjehlUPJ0QcOYZQs^eJ H MJ0hZJ[]QR[]Oauml[SXWQsO H JLhZJUY H ^MeJybLjhYUPJ0QcY H MJUOTYZjeKK=[]YZJU^ H [JkWKNPO^jO H Qcf(Q H hJUNPbMeJUY H MeJ centEgrave[]jO^NihlmOacute[SX H MeJabn[]ObnJLhdOeJU^ Me[]Zaring[S[PJUOeJL[]jYaringhJ[]QR[]OO^MJtimesbLjehlUPJtimes^e[BJUYUacuteOe[ H [P[cent=JmP[]O^ H MJUYJaeligcent=[]jO^NihQRJUYiexclYZQcObnJSe=[UPJLh H MeJLhZJSe H MeJbnhQ H JLhQR[]OOacuteQsObnhZJUNPYJUYtimescentEgraveJUbLNPjYJ H MeJU~NihdQcNPObnJOcircu centtimesOslash [Ph H MeJ bn[U~NihdQcNPObnJtZaringN H hQVk^eJ H JLhZaringQcONPO H ^eJ H atimesOslashjUcirccentOtildeQsObnhZJUNPYJS^MeJaringNPfV[P[PhQ H MZEcentNPYJU^[]O H MeJ bn[UiNihQcNPObnJZaringN H hQVkeumlQcYaumlK=JLhlX[PhlZaringJU^euml[]ONPOQZ N[PJ [SX H MeJUBQs^eJL[`YJBjeJUObnJrnN`WQVmP[]peumlQcO[Ph^JLh H [euml^eJ H JUb HaeligH MeJYKEgraveJUN`PJLhUTYXqNPbnJS^gtMJaumlJUP[]fcj H QR[]O[SX H MJIacutebLjehYUPJIacuteQcYu[]QVUPJUO QcO not QV[^ macr^gtMeJTbn[]O H []jehiexclJUP[]fUPJUYH [ONPfcfVmbn[]OUPJLhY[PJaelig[]O H MeJIacutecent=[]jO^NihQRJUY[SX H MJyXqNPbnJa not QV[^ macr^bj^OMeJyXiacuteNPbnJaeligQcYH MeJUONPbLbLjehdN H JUfVm YZJ[]ZOslashJUO H JU^^FMeJUacuteNSZOslashKfcQ H j^eJ[SX H MeJiexclUPJUfR[BbLQ H m QsYFNPfsY[laquo[]QVUPJUOQcO not QV[aqYj^ macr^ ^OecurrenJSe Xfrac34jNPO^WNtildeJUacutebLNPO [PcentYJLhYUPJ H MN HFH MeJ5XiacuteNPbnJUacutehZJ[]QR[]O QcYUPJLhYmWFJUfcf^eJUfsQZaringQ H JU^regXhZ[]Z H MJ[ H MJLhhZJ[]QR[]OY^MJ5UPJUfc[BbLQ H m[]QUPJUO QcO not QV[aqYj^ macr^ ^OecurrenJSe XQcObLfcj^eJUY H MeJNP^^Q H Qc[]ONPf H JLhlZaringYFbn[]ZaringQcOF[yXiacutehZ[]Z H MeJ5UiNihQcN H QR[]O [SX H MeJiexcl^eJUYbnhQRKeVH [PhY5WQ H Magrave`centj H ^e[BJUYOtildeOe[ H QcObLfcj^eJ H MeJaeligcentEgrave[]jO^NihlmVcentNPYZJU^ H JLhlZ WMQcbMeumlQcYUacuteNYYZaring[[ H MQsO[ H JLhlZ^KMeJtimesNSZOslashKfcQ H j^eJOtilde[SX H MeJyUPJUfc[BbLQ H maQcYiexclOe[PhlZaringNPfcQcurrenLJU^ centEgraveJ H WFJLJUOs NPO^ macrSmacre$YZjbdM H MN HTH MeJ OeJ[]N H QVUPJoU~NPfcjJUYIacuteNihZJ fR[WFJLh H MNPO f i`NPO^ H MeJKEgrave[]YZQ H QUPJ[]OJUYNihZJTMQ[]MeJLh H MNPOpoundf i^ J bLNPObn[]ZaringKNihZJ H MJ QcOQ H QsNPfUPJUfR[BbLQ H m[Pcent H NPQcOJU^jYZQcOF[ H MeJ bn[U~NihQsNPObnJZaringN H hdQk admacr s juWQ H M H MeJOtilde[]OeJOtilde[Pcent H NPQcOeJU^jYQcO[ H MeJordfUiNihQcNPObnJrega2Sj^KMeJordfXqNPbnJTQcYOe[ H WNtildeJUfsf9^eJ H JUb H JU^QcO H MeJUPJUfR[BbLQ H m[Pcent H NPQsOeJU^ajYQcO[ H MeJUiNihQcNPObnJa not Q[^ ^bjWMJLhZJUNPYIacuteQ H QcYIacutehZJUNPfcfmumlWNtildeJUfcfF^eJ H JUb H JU^QsO H MeJQcOQ H QcNPfUPJUfR[WbLQ H m7jYZQcOF[ H MeJbn[iVUiNihQcNPObnJpoundZ N H hQk a not QV[^ ^currencentj^_MeJ UPJUfR[WbLQ H m [Pcent H NPQcOeJU^ jYZQsO[ H MeJumlU~NihdQcNPObnJ^e[BJUYOe[ H NPfsfR[W NPOJltz bLQRJUO H YJ[]ZOslashJUO H N H QR[]O`[SX H MeJyXiacuteNPbnJauml[]O H MeJaumlbn[]O H hNihYm H [H MeJIacutebn[UiNihQcNPObnJlaquoZaringN H hQk^eJ H JLhZaringQcONPO H WMQsbM H N`PJUYUacuteNP^UiNPO H N[PJaelig[SX H MeJtimesbn[]fR[PhQcOFX[PhlZ N H QR[]OO^macr^ ^WVFEumlETH=gtNtildeFETH32EacuteltOacuterETHEacute`0Ntilde=KIgravek8ltIgraveFETHIgrave5=KETH32EacuteltOacute~2Oacute+(8ltIgraveEacute IcircIgrave5euml1IgraveFOacute=KIgraveIcircMJa^eJUYZbnhQcK H [PhYOslashcentNPYZJU^[]O H MJ`bn[UiNihQcNPObnJZaringN H hdQkNihJ`QZOslashK-fRJZOslashJUO H JU^ H [^eJ H JUb H MBjFZaringNPO XqNPbnJUYQcO UWQc^eJL[OacuteYJBjeJUObnJUY^MQsYaring^eJ H JUb H QR[]OegraveZaringNm cent=J`jYJU^Xiacute[PhtUWQc^eJL[ bn[B^QcO[ H [JUObn[W^eJYJUfcJUb H QVUPJUfVm H MeJOacuteMBjFZaringNPOegraveXqNPbnJS^ not [Ph`N []QVUPJUObn[]ZOslashKhZJUYZYZQR[]OOacutehN H QR[e H MeJoXiacuteNPbnJbLNPO7cent=J H hNPOYYZ Q HH JU^bWiexclQ H MN MQV[]MJLhThN H J H [H MeJ^eJ H hdQZOslashJUO H [SX H MeJcentNPbl`[Ph[]jO^O^uMQsY QsO H JLhZJUY H QcO[KhZ[PKEgraveJLh H m QcYUiNPfcjWVNicentfcJuX[PhUBQc^JL[Bbn[]OXiacuteJLhZJUObnJUYe]WMeJLhZJ H MeJ ZOslash[]Y H QZOslashKEgrave[Ph H NPO H NPO^regZOslash[]Y H U~NihdQcNicentfRJQcOFX[PhlZ N H QR[]OQcYfR[WbLN H JU^ []O H MJordfXiacuteNPbnJaq 5ZOslash[]Oe[]j`NPO^tUacutejMNSZaringJUfde sSsSs j^ J QcOQ H QcNPfcQVcurrenLJ H MJhdY H XiacutehNSZOslashJoWQ H M7N`bLQchbLfRJ QsOYZQc^eJ H MeJXqNPbnJ H [ H hNPbY`K^MJUOOeyacuteWFJsup1ZaringN`PJ H MeJNPb H QVUPJ7bn[]O H []jeheumlJUP[]fVUPJjYZQcOF[admacr s jeiexclWQ H MX8ordfaOgravejxaacuteILK KafUgravemiddot cent j^ltMeJregONPfybn[]O H []jehtimes[SX H MeJ bLjehZhJUO H QZaringN[PJ QcY H MeJUOOacutebdMe[]YJUO7NPYNPO QcOQ H QcNPfbLjhYUPJordfX[Ph H MJUacuteOJk H QZaringN[PJS^FMeJOtildeNPfV[P[PhQ H MFZMNPYcentEgraveJLJUOKEgraveJLhYXiacute[PhlZOslashJU^[]OYJUPJLhdNPf$YJjJUObnJUY^MeJaelighZJUYjf H Y5X[Ph H MJaeligYZJjeJUObnJpoundn5JLhQV`p NihJordm[]QVUPJUOQcOnot QV[^ethz^shyMeJaringKNihNSZaringJ H hZJ bMNPYaumlcentEgraveJLJUOYZJ HaumlH [sup1f s ^QMeJordmXqNPbnJ QcYordfWFJUfcfy^J H JUb H JU^NPO^ H hNPbY`PJU^times[]O H MJ|WMe[]fcJyYJjJUObnJS^MJyhZJUYZjf H YOX[Ph H MeJNtildeYZJjeJUObnJnN`WQVmP[]p

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ macrNihZJy[]QVUPJUO`QsO not QV[^ i^ JaeligbMe[B[]YJbaacute s ^ JtimesbLNPO`YJLJ H MN HH MeJXiacuteNPbnJaeligQcYuWFJUfcf^eJ H JUb H JU^aJUPJUOaQVX H MeJaumlbn[]fR[Phiexcl[SXMJLhYZMQRh H QsY(bLfR[]YJ H [ H MJgXiacuteNPbnJIacutebn[]fR[Ph^

YOEAEligMgtIltROgravesup3PshyAtildeT13MKI5O H MQcYKNiKEgraveJLheuWNtildeJKhZ[PKEgrave[]YJN OeJW 0jfRJLhQcNPOAumlZaringQsOQZaringQVcurrenUN H Qc[]OAumlZOslashJ H Me[W^ H [bn[]ZOslashK-j H J H MJUPJUfR[WbLQ H mpoundUPJUb H [Pharing[SXNPONPb H QVUPJ bn[]O H []jeh H MN H JUOYZjehZJUYtimesQ H WQcfcfJUP[]fVUPJ NPYordfXiacuteNPY H NPYOtildeKEgrave[]YZYZQRcentfcJ H [WNih^YIacuteNZaringQcOQCZIacutejFZ [SXN bnhQ H JLhQR[]OeumlQcObLfcj^QcOF[centEgrave[ H MUacutehZJ[]QR[]OeVcentNPYJU^TNPO^OtildecentEgrave[]jO^NihYmVcentNPYJU^ H JLhlZ Y^ q jehgNiKKhZ[]NPbMIacuteQcYcentNPYZJU^Otilde[]OYZMNiK=J[PK H QZaringQVcurrenUN H Qc[]OOslashKhQcObLQRKfRJUY$NPO^ QcYyKEgraveJLhYXiacute[PhlZOslashJU^ QcO H MehZJLJ5ZaringNPQcO Y H JLKYaringf^ltO H hZ[W^jb H QR[]O[SX$NOslash^mWONSZaringQcbLNPfYbMeJZOslashJIacuteQcO H MeJTbnhQ H JLhQR[]OOe ^vF[]ZOslashKj H N H Qc[]Oaelig[SX H MeJ_0jfRJLhdQcNPOaelig^eJLhQVUiN H QVUPJ[SX H MJbnhQ H JLhQR[]OOslashjYZQcO[OtildeYZMNiKEgraveJ

[PK H QZaringQVcurrenUN H Qc[]O H [[]fcYe^vF[]ZOslashKj H N H Qc[]Oa[SX H MeJtimesJUP[]fcj H Qc[]OaJBjN H QR[]O`[SX H MeJaeligNPb H QVUPJtimesbn[]O H []jehiexclXiacutehZ[]ZH MeJT^eJLhQU~N H QVUPJS^

iexcl Ntilde _ cent G NPfcfR[WY H [hJUNP^QcfVm H N`PJNtildeQcO H [NPbLbn[]jO H9H MeJybLNPYJ0[SXBhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H^eJUYbnhQRK H [PhY H MN H NihZJo[]fR[PcentNPfcfVmN HH NPbdMeJU^ H [ H MeJ JUP[]fVUWQcO[ hZJ[]QR[]OYtimesNPO^Y[H MN H UiNihYm^jehQsO[ H MJaumlKhZ[PKN[]N H Qc[]O [SX H MJaumlbLjehYUPJS^ JTYMe[W H MN HH MeJgUiNihQuVN H QR[]O [SX H MeJUYJ^JUYZbnhQRK H [PhdY QsO^jbnJUYNP^^Q H QR[]ONPf H JLhlZaringYQcO H MeJeumlJUP[]fcj H QR[]OJBjN H QR[]Oeuml[SX H MeJaringNPb H QVUPJ bn[]O H []jeh^MJUYJ H JLhlZaringYgZtimesjY H Oe[ H centEgraveJlaquoX[Phl[P[ HH JUOQcO[Ph^JLh H [ hZJUNPbMeumlN H hjeJZ QcOQZtimesjFZ[SX H MeJtimesbnhQ H JLhQc[]OaNPYUacuteQ H MNPYcentEgraveJLJUOKEgrave[]QcO H JU^[]j H QsOJkBKEgraveJLhQZaringJUO H NPfEgravehZJUYjf H Y^

Yfrac34XiacuteNiheumlNPYeumlMe[]ZOslash[S[PJUOeJL[]jYeumlbn[]fR[PheumlhZJ[]Qc[]OY`YZJ[]ZOslashJUO H N H Qc[]OQsY`bn[]ObnJLhdOeJU^OeWFJKhZ[PKEgrave[]YJ H MeJ`bn[U~NihQsNPObnJfrac34ZaringN H hdQk^eJ H JLhlZaringQcONPO H NPY N^eJUYbnhQRK H [Ph^MQcYY H N H QsY H QcbLNPfhZJ[]QR[]OeV4^eJLKEgraveJUO^eJUO H ^JUYZbnhQRK H [PharingNiKK=JUNihdY H [centEgraveJN UPJLhlm7hJUfRJU~NPO HH [B[]fampNPO^eumlY[ Q H MNPYUacutecent=JLJUOeumlYZjbLbnJUYZYXqjfcfVm NiKKfsQRJU^ H [XqNPbnJaring^eJ H JUb H QR[]OQcOfrac34UWQc^eJL[YJBjeJUObnJUY^

iquest acuteraquoacuteLacuteIltR]acuteAtildeagraveIgravefrac14dEcircsup1Atilde5AringiquestLmiddotNtildeIumliquestUumlgIumlUTHORNampAtildeEacutecedilAtilde5AringAcircnAtilde|iquestaacuteIacuteIumlIZEgravefrac14Zcedilfrac12frac14dAringiEcirc]iquestfrac14draquoiEcirc[NtildeIumlagraveAringEacutePAtildecedilwAacute4] uacute_^J^J^ iquest)` igraveraquoLCcedilfrac14cedil4Ecircfrac14draquo~Ecirc(Auml|AringAacuteCcedilfrac14Zcedil4Ecirc

Agrave5AringcedilAcircnAtilde$AtildeAcircnAuml|frac12AringAacutesup1AumldraquoTAringAEligwsup1raquo~ordm(frac12Atilde5AcircnAtilde5frac12AEligwAtildeAacuteampIgrave(Atilde AacuteIcirc~AumlUEcircSaIumligraveraquo13] x4~rv p4PldrRtcoPl|Egraveod5v pv i4vodaumlx4shyl not vsectpqo v tu not Iumlcb$Auml|EacutePAtilde|iquestednfrac14Oumlifrac14draquoIuml

agraveIgrave(Aumldraquo~Auml|Aringiquest~igrave4IumlPfrac14raquoiEcircfWIumliTHORNampAringIcircifrac14Igrave(Atilde5frac12G] divideugrave|ugrave|ugrave iquest` igraveAacuteAtildecedil4frac14ZAacutesup1Acirc|AtildeNtildeEacute~frac14dAgrave4UgraveUCcedilEgravefrac14cedil4EcircUacuteAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoUacuteOgraveregAumldcedilIcirc~sup1Atildecedil4frac14cedilAgrave4Icirc~sup1currenEumlAgravefrac14dfrac12=CcedilEgravefrac14AcircnAtilde5frac12AtildeAacutesup1Igravefrac14ordm|AtildeAgrave5AumlUEcircsup1raquo~ordmIaIumlaeligigraveiacuteraquoS] x4rv p ildrRtcodil|ampod5v pv P4vOtildeodOslashx4shy(l not vFsectpqo v tu not Iumlg frac14raquo~Agrave5AumldAring~AcircnAtildecediliquestehEgravefrac14raquoifrac14|Ecircfrac14Iuml

agraveAringEacutePAtildecedilwAacuteiquest[NtildeIumlWfrac14raquoiEcircifWIuml13b$Aumldcedilraquo~OumlcedilAuml|EacuteAEligqAacute4] divideugrave|ugraveuacute iquestkj ldrregv shy(ldrRtcl|ipwonm5v shyNtildetuOslashtushyl not vampipwo4v tu not sect9ldp4rRtcl|Egravedt lv pv ~rRtRl|9vDm~lrRtcod~ldiTrreg~vUacutel| Uiexcloqnldp4tcldrRtRod~ iquestpoAumlIuml uacute_qEr IumlOslashagrave9Ouml~Oumlfrac12sup1AtildeEcircaacuteUacutefrac14AacuteIcirc~AtildeIgravefrac14Aacutesup1Agravefrac14dfrac12BatildeAgravesup1Atilderaquo~Agrave5Atilde5AElig5iquestPatildeOumlcedilsup1raquoordm|Atildecedil g Atildecedilfrac12frac14dordmIumlhEgravefrac14dAEligwAtilde5frac12frac12Atilde5AElig5iquest g Iumliquest~szlig0Iumleb$sup1Igrave(Igrave(Atilde5frac12Riquestifrac14raquoiEcirc[NtildeIumlatildefrac14dOumlsup1cedilAumlI] uacute_^J^Er iquest`s[Atilde5AumlUEcircAtilde5AEligwsup1AgraveFfrac14dAgraveAacutesup1AcircnAtildeyAgrave5AumldraquoUAacuteAumldAringcedilAElig_aIuml x4~rv p4PldrRtcodPldpoundUodUp4Pl|WoqodshyiUrv paumlumltutcodutet13v uacute+w iquestex uacuteyIrz^ Iuml

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CBh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34LiquestBagraveyIumlWfrac14raquoiEcircidIumlBTHORNampAringraquo~Agravefrac14raquo13] uacute4^z^J^ iquest`[ampfrac14Igrave(AtildeEumlcAacuteIcirc~Atilde5AumlcedilAtildeAacutesup1Agrave(sup1raquoUAacuteAtildeordmdcedil4frac14Aacutesup1AumldraquoaeligOgraveuAumldcedil0sup1Igravefrac14dordmdAtildeAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIuml xQ|||~pwl~ lnrRtcodNtildeodiexclsect9lrRrv p auml9Pl| ~tuyldi j l|4Utu]vx4~rvreg t not v P4v Iumlh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34Liquestgagrave0IumliquestIumlgatildeUAacute4frac14dsup1Eacuteiquest9frac14draquoiEcircdIuml9THORNampAringraquo~Agravefrac14raquo13] uacute_^J^ xiquest` THORNampAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeIacuteEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34iraquo~Ecircsup1raquo~ordmsup1raquoIgrave(AtildeEcircsup1Agravefrac14frac12iexclsup1Igravefrac14ordm|Atilde5AEligaringEacuteLfrac34Oacutesup1raquoLAacuteAtilde5ordmcedil4frac14Aacutesup1raquo~ordm ordmdcedil4frac14|Ecircsup1Atilde5raquoLAacute frac14raquoiEcirccedilAtilde5ordm|sup1Auml|raquo sup1raquoOgraveuAumldcedilIgravefrac14ZAacutesup1Auml|raquo13aIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu notI iquesteE ^4y rdugrave Iumlh=Icircifrac14raquoiquestBETHIumlWfrac14raquoiEcircIuml g Atilde5AEligwAtildeJ] dividedugravedugraveuacute iquest` agraveAgraveAacutesup1AcircnAtildeFAgrave5Auml|raquoLAacuteAuml|AringcedilAElig$Ccedilgsup1AacuteIcircAuml|AringAacuteNtildeAtilde5Ecircordm|AtildeAElig_aIuml xQ||k|~pwld lnrRtcododUacutex4shy(l not v9sectpqo4v 4tu notuU v divideJw iquest divide xJx ydividezrJr Iumlh=Icirc~Atilde5AEligwraquo~frac14dAring~EcirciquesthIumliquestfWIuml=szligAtildeOgraveYacutecedilIAtilde5ordm|sup1Atildecediliquestfrac14draquoiEcirc g Iuml5Z=AumldAring~frac12AtildeAacute4] uacute_^J^z^ iquest`currenatildeUAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12cedilAtilde5ordmdsup1AumldraquoAEligwraquoifrac14dUgrave|AtildeEumlsEacuteifrac14dAEligwAtilde5EcircAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquofrac14|Ecircfrac14dOumlAacuteAtilde5EcircFAacuteAumlyEcircsup1s]AtildecedilAtilde5raquoLAacute-Ouml~IcircLfrac34AEligwsup1Agrave5frac14dfrac12~raquoAuml|sup1AEligwAtilde9Igrave(AumlUEcircAtilde5frac12AElig_aIuml xQ||k|~pqld~ lnrRtco~$osect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4vt iquest uacute|uacute_q y~uacute|uacute xIumlh=Auml|IcircAtilde5raquoiquestIuml] uacute4^z^uacute iquest`currenmiddotraquofrac14dAgrave Aacutesup1Acirc|Atilde Agrave5AumldraquoLAacuteAuml|AringcedilIacuteIgrave(AumlUEcircAtildefrac12AEligtimesfrac14draquo~EcirceumlEacuteifrac14dfrac12frac12AumlLAuml|raquoAElig_aIuml odshyiUrv pumltutcod pwl Utc0ldix4shyl not vsectEgravepwo4v tu not x4shyl not vOtildePnv p rsldidtu not) iquest divideUuacuteduacuteydivideLuacute UIumlh=Auml|IcircAtilde5raquoiquestSIumliquestUumlIuml13ZEgravefrac14cedil4Ecircsup1raquo~AtildeAacuteiquestfrac14raquoiEcircoNtildeIumlagrave9frac34Lfrac14dAgrave4Icirc~AtildeJ] uacute_^J^z iquest`atildeUAringcedilwOgraveufrac14dAgrave5Atilde0cedilAtilde5Agrave5Auml|raquoAEligqAacutewcedilAring~AgraveAacutesup1AumldraquotimesAring~AEligwsup1raquoordmfrac14AgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilaumlIgrave(AumlUEcircAtilde5frac12AElig_aIuml igraveiacuteraquoS] Lsect=xQ|od5v pv P4v od vwodshy(v rRp tc j v rregodtimestuodshyiUrv pumltutco Iuml~atildefrac14raquoUacuteTHORNampsup1Atilde5ordm|AumliquesthEgraveagraveyIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquestEgraveUumlIuml] dividedugrave|ugravedugrave iquest`currenatildeAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquo Ouml~frac14cedilAgrave5Auml|raquoLAacuteAuml|AringcedilAEligUacutefrac14AgraveAacutesup1currenOgraveuAEligUacuteAtilde5raquosup1Igravefrac14dordmdAtildecedilsup1AtildeIacuteIgraveAtilde5Ecircsup1Agravefrac14dfrac12AtildeIacuteEcircfrac34UEumlraquoifrac14dIgrave(sup1ecircLAring~Atilde]ampfrac14Ouml~Ouml~frac12sup1Agravefrac14ZAacutesup1AumldraquoAtilde5raquoeumlAgravefrac14Zcedil4Ecircsup1Auml|frac12Auml|ordmdsup1Atilde raquoUAring~Agravefrac12Atilde5frac14dsup1currencedilAtildeJaIumlfIcircIuml THORNFIumlAacuteIcirc~Atilde5AEligwsup1AElig5iquestraquo~sup1AcircnAtildecedilAEligwsup1currenAacutefrac34`AumlOgraveosup1Agrave5AtildeEumliacuteatildeAumldOuml~Icircsup1Yacutefrac14NtildeagraveraquoLAacutesup1OumlPAuml|frac12sup1AElig5iquestPeacutecedil4frac14raquo~Agrave5AtildedIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquest|UumlIumliquestUaacuteIacuteIumlEZEgravefrac14cedilfrac12frac14dAring~Ecirciquest[NtildeIumlLagraveAringEacutePAtildecedilwAacuteiquest|frac14draquoiEcirc dIumlnTHORN$frac14ZcedilAgrave5Auml|AringcedilwAacute4] divideugrave|ugraveUuacute iqueste`currenatildeOuml~frac14dAgrave5AtildeEgraveAacutesup1Igrave(AtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14EumlAacutesup1AumldraquoUacuteAring~AEligwsup1raquoordmfrac12Atilde5AcircnAtilde5frac12AEligwAtildeAacutefrac14dAgraveAacutesup1AcircnAtilde$AgraveAuml|raquoLAacuteAuml|AringcedilAEligfrac14Ouml~Ouml~frac12sup1AtildeEcirciexclAacuteAumlFIgraveNtildefrac34LAumlLAgravefrac14Zcedil4Ecircsup1frac14dfrac12ordmnfrac14ZAacuteAtildeEcircOtildeatildeIf-UumlkhEgraveETHaIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu not t v rJw iquest)x qJ+y xJ ^ Iuml

THORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquest13iexclNtildeIumlfrac14draquo~EcircdIumlWaacuteAuml|raquoLAacute4frac14ordm|raquoifrac14ZAacute4] divideugrave|ugraveUuacute iquest` ETHBAumldOumlPAuml|frac12Auml|ordmfrac34Oslashfrac14raquoiEcircIacuteAEligwIcirc~frac14dOumlPAtildeAgraveAuml|raquo~AEligqAacutewcedil4frac14sup1raquoUAacuteAEligyAumldraquotimesOumlifrac14Zcedil4frac14EumlIgrave(AtildeAacutewcedilsup1AgraveOslashfrac14dAgraveAacutesup1AcircnAtildearingAgrave5AumldraquoLAacuteAuml|AringcedilAElig_aIuml odshy~rv pumltutcodldP x4shy(l not vPLv p4rsldPtu notcent) v divideJw iquestuacute_qnugrave4yiuacute4rUuacute Iuml[Auml|Igrave(Atilde5AElig5iquestpounddIumlfrac14draquo~EcircaringmiddotNtildeIumleacuteifrac14Aring~ordm|Atilde cedil4frac14dAElig_] divideugrave|ugrave|ugrave iquestcurren` szlig9Atilde5Agrave5Aumldraquo~Agrave5sup1frac12sup1raquo~ordmIacuteEcircsup1AEligqAacute4frac14draquoAgrave5AtildeOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligfrac14draquo~Ecircaeligfrac12Atilde5AcircnAtilde5frac12EgraveAEligwAtilde AacuteAElig_aIumlpoundUodUp il|WoqUacuteumltul|-odshyNtildeshyFU~tR4lrRtcodTldix4shyl not vampgvipv v rsldrRtcod ) iquest dividedugravez^+ydivideddividez Iuml[cedil4frac145frac34LiquestszligyIumliquestdIumlyen-Auml|Aringraquo~ordmiquestampfrac14raquoiEcircagrave0Iumlampagravesup1currenfrac34LAtildecedil4] dividedugravedugraveuacute iquest `aacutesup1raquosup1IgraveNtildeAring~Igrave Ecircsup1AEligwAgrave cedilsup1Igrave(sup1raquo~frac14Aacutesup1Auml|raquosup1raquoOgraveregAumldcedilIgravefrac14Aacutesup1AumldraquoAgrave5frac12Aring~AEligqAacuteAtildecedilsup1raquo~ordmI]Igrave(AumlUEcircAtilde5frac12sup1raquo~ordmTfrac14raquoiEcircOslashecircLAringifrac14raquoUAacutesup1Ocircfrac14ZAacutesup1Auml|raquoOslashCcedilgsup1currenAacuteIcirc ordm|frac14dAringAEligwAEligIgrave(sup1currenicircAacuteAringcedilAtilde5AElig_aIumlTigraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquest=atildePIumliquest=aacuteIacuteIumlkZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestEgravefrac14raquoiEcirc[NtildeIuml=agrave9Aring~EacutePAtildecedilwAacute4] dividedugrave|ugraveUuacute frac14Uiquest` agrave EumliacuteatildeUAacuteAtilde5Ouml frac14dfrac12ordm|Aumlcedilsup1currenAacuteIcirc~IgraveAring~AEligwsup1raquoordmcedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtilde=Agrave5Auml|raquoLAacuteAuml|AringcedilAEligeOgraveuAumldcedilAcircUsup1EcircAtilde5AumlAuml|EacuteUbrvbarqAtilde5Agrave AacuteAElig=EcircAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoSaIuml~igraveraquo13]psect xw j x4 sect odpDumlqo odUacutex4shy(l not v9Pl| ~tu5op j rRtushyvwdtclNtildex4rv pwlnrRtKndvy]v pntc4v IumliETHWfrac14dIgrave(OumlPAtilde cedilAtilde|iquestieacuteWsup1raquofrac12Yacutefrac14raquoiEcirc]Iumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquestUatilde]IumliquestUaacuteIacuteIumlUZ=frac14cedilfrac12frac14dAring~EcirciquestUfrac14raquoiEcirccopy[NtildeIumlUagrave9Aring~EacutePAtildecedilwAacute4] dividedugravedugraveuacute EacuteiquestA` szlig9Atilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14AgraveAacutesup1AcircnAtildegAgrave5Auml|raquoLAacuteAumldAringcedilAEligOgraveuAumldcedilAcircUsup1YacuteEcircAtilde5AumlaringAuml|EacuteUbrvbarqAtilde5Agrave AacuteOtildeAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo Ccedilgsup1currenAacuteIcircaAgrave5frac14dIgrave(Atildecedil4frac14OslashAgrave5AumldIgrave(OumlPAtilde5raquo~AEligfrac14ZAacutesup1Aumldraquo13aIumligraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquesteatilde]IumliquestWaacuteIacuteIumlZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestefrac14draquo~Ecirc[NtildeIumlBagraveAring~EacutePAtilde cedilwAacute4] divideugrave|ugraveuacute Agrave|iquestk` g sup1EcircAtilde5AumlUacuteAuml|EacuteUbrvbarqAtildeAgraveAacuteFAEligwAtildeordm|Igrave(Atilde5raquoLAacute4frac14Aacutesup1AumldraquoAring~AEligwsup1raquo~ordmIacuteAtilde5Aring~frac12Atildecedilsup1frac14draquo cedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAElig_aIuml igraveiacuteraquoS] x4rv p ildrRtcodil|yodv pwv P4vIacuteoodshyiUrv paumlumltutcod Iuml g frac14draquoAgrave5Auml|AringAcircnAtildecediliquestehEgravefrac14draquo~frac14|Ecirc~frac14UIumlbyfrac14dAEligwAElig5iquesteaacuteIacuteIumliquestWagrave0Iuml Ucirc sup1currenAacuteUgravesup1raquoiquestWfrac14raquoiEcirctimesTHORNFIumlWETHBAtildecedilOcirc5AumldOumlPAuml|Aringfrac12AumldAElig_] uacute4^ JUiquestk`currenatilderaquoifrac14UgravenAtilde5AElig_]WagraveAgraveAacutesup1AcircnAtilde(Agrave5AumldraquoLAacuteAuml|Aringcedil0Igrave(AumlUEcircAtilde5frac12AElig_aIumlx4~rv p4PldrRtcoPl|WpoundUop4PldWoqodshyiUrv pTumltutcod iquest ndivideUuacuteyUzndivide Iuml

aacuteUacutefrac14dfrac12frac12frac14|Ecircsup1ciquest~szlig0IumliquestedIuml]atildeUAtildeAacuteIcirc~sup1frac14raquoiquest~frac14draquoiEcircZIuml g Atilde5IgraveNtildeAringcedilsup1G] uacute4^z^ UiquestS`atildeUIcircifrac14OumlPAtilde$Igrave(AumlUEcircAtilde5frac12sup1raquo~ordm0Ccedilgsup1AacuteIcirciexclOgraveregcedilAuml|raquoLAacuteOumlcedilAumldOumlifrac14dordm|frac14EumlAacutesup1Aumldraquo13]nfrac14ampfrac12AtildeAcircnAtilde5frac12AEligwAtildeAacuteEgravefrac14Ouml~OumlcedilAumlnfrac14dAgrave4Icirc13aIuml xQ|||~pwld lnrRtcodampodsectgldrRrv p 9Pl| ~tu9ldP j ln4Utreg]vx4~rvu t not v i4v Iordf iquest uacute z yiuacute+r UIuml

aacuteUacutefrac14draquoAEligwAuml|Aringcedilsup1Riquestagrave0Iumlfrac14draquo~EcircdIumlb$Auml|raquocedil4frac14|EcircS] uacute_^J^J^ iquestlaquo`currenaacuteAumldAacutesup1AumldraquoAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo`Ccedilgsup1currenAacuteIcirceumlfrac12Atilde5AcircnAtildefrac120AEligwAtilde AacuteAElig_aIuml igraveraquo13]x4~rv p4PldrRtcoPl|=ov pwv P4vNtildeodUacutex4shyl not vsectEgravepwo4v tu not Iumlcb$AumldEacutePAtilde|iquestednfrac14dOuml~frac14draquoIuml

aacuteAuml|raquoLAacute4frac14dordmdraquoifrac14ZAacuteiquestdIumliquestziexcl0IumlTHORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquestdfrac14draquo~EcircoNtildeIumlZagravegfrac34Ufrac14dAgrave4Icirc~AtildeJ] dividedugrave|ugraveUuacute iquest` agraveOslashcedilAtildeAcircsup1AtildeCcedilaeligAumldOgravePEcircAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeAEligwAringcedilwOgraveufrac14dAgrave5AtildeAElig_]AacuteAuml|OumlPAuml|frac12Aumldordmdfrac34Liquestgordm|AtildeAuml|Igrave(AtildeAacutewcedilwfrac34frac14draquoiEcirc EcircAtildeOgraveuAumlcedilIgravefrac14Aacutesup1Auml|raquoSaIuml x4shyl not vtimesldiOacuteumltutcododshy~rRtreg not0Inot v uacute_qw iquestuacuteugravendivide+y~uacuteugravezq|ugrave Iuml

aacuteAring~IgraveOgraveregAumldcedil4Ecirciquest=THORNFIumlgfrac14raquoiEcircdIumlatildeIcirc~frac14dIcircS] uacute4^ ^ iquest`currenmiddotOumlAacutesup1Igravefrac14frac12$frac14dOumlOumlcedilAumlicircsup1Igravefrac14Aacutesup1Auml|raquoAEligEacuteLfrac34Oumlsup1AtildeAgrave5AtildeCcedilgsup1AEligwAtildetimesAEligwIgrave(AumlLAumlAacuteIcircOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligFfrac14raquoiEcircOslashfrac14dAEligwAEligwAumlLAgravesup1Yacutefrac14ZAacuteAtildeEcircaringAcirc|frac14Zcedilsup1Yacutefrac14ZAacutesup1Auml|raquoifrac14frac12EgraveOumlcedilAumldEacute~frac12Atilde5Igrave(AElig_aIuml odshyNtildeshyFU~tR4lrRtcod~oaeligsectEgraveUpvUacuteldiEgraveni tsvw j ldrreg~v shy(lrRtccurrenshyt iquest rzr4y xJ q Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfa

yenKbrvbarsect =4 acirc $ zmiddotAEligwIcirc~AtildecediliquestdatildePIumlfrac14draquo~EcircdIumlnatildeAtilde AacuteIcirc~sup1frac14draquoS] uacute4^ ziquest` eacutecedilAuml|raquoLAacuteAEligeOumlcedilAumldOumlifrac14ordmnfrac14Aacutesup1raquoordmCcedilgsup1currenAacuteIcircFAgrave5AringcedilAcirc|frac14ZAacuteAringcedilAtildeEumlEcircAtilde5OumlPAtilde5raquoiEcircAtilde5raquoLAacuteBAEligwOumlPAtildeAtildeEcircS]

agravefrac12ordm|Aumlcedilsup1AacuteIcircIgrave(AEligEacute~frac14dAEligwAtildeEcircaumlAuml|raquoiexclampfrac14Igrave(sup1frac12AacuteAumldraquoEumldnfrac14Agrave5Auml|Eacutesup1eacute~AumldcedilIgraveNtildeAring~frac12frac14Aacutesup1Auml|raquoSaIuml poundUodUp4Pl|oqiexcloshyiUrsldrRtcoPl|sect=U~tc ordfenot iquest uacutedivide4yEqE^ Iumlfefrac14cedil4frac14ordm|sup1Auml|AElig5iquestoNtildeIumlfrac14draquo~EcircIacuteszligyIuml]THORNampAtildecedilsup1Agrave4Icirc~AtildeJ] uacute4^z^J^ iquest`s[Atilde5AumlUEcircAtildeAEligwsup1Agravefrac14AgraveAacutesup1AcircnAtildeFcedilAtilde5ordmdsup1Auml|raquo~AElig$OgraveregAumldcedil0Igrave(AumldAacutesup1Auml|raquoTAtilde5AEligqAacutesup1Igravefrac14Aacutesup1Aumldraquofrac14draquoiEcircAacutewcedil4frac14dAgrave4UgraveUsup1raquoordmAaIumligraveiacuteraquoS] x4rv p ildrRtcodil|-ov pwv P4vFodOslashodshyiUrv paumlumltutco Iumleh=AumldcedilwOgraveregAringgt[cedilAtilde5Atilde5Agrave5Atilde|Iumlfefrac14AacuteAtilde5Aringicirc]iquestatilde]Iuml] dividedugravedugrave|ugrave iquestpound`currenatildeOuml~frac14Aacutesup1frac14dfrac12AEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoTAumldOgrave=Agrave5Auml|frac12Aumlcedilysup1Igravefrac14ordm|Atilde5AEligampfrac14dAgrave5Agrave5Aumlcedil4Ecircsup1raquo~ordmAacuteAumlUacuteaacuteTHORNaringOgraveregAumldcedilIgravefrac14dfrac12currenEumlsup1AEligwIgraveaIumlyigraveraquo13] x4~rv p4PlrRtcodPld=od5v pv i vodododpFtu pwl4UtcldPx4shyl not vysectpqo v tu not Iumlatildefrac14dsup1raquoLAacute UumleAacutesup1Atilderaquo~raquo~Atildediquestieacutecedil4frac14raquo~Agrave5AtildedIumlfcedilAtildeAgrave5sup1Auml|AEligwAumliquesteacute=IumlEgravefrac14raquoiEcirc aacuteIacuteIumlcurrenZEgravefrac14cedilfrac12frac14dAring~EcircS] dividedugrave|ugraveUuacute iquest` Z-EumliacuteatildeUOuml~frac12sup1raquo~Atildeaumlfrac14dAgrave Aacutesup1Acirc|AtildeOtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAEligOgraveregAumldcedilOgraveRfrac14AEligqAacuteAcircUsup1EcircAtilde5AumltimesAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIumlOacuteigraveraquo13] x4rv p ildrRtcodil|od5v pv P4vaeligod x4shy(l not vUacutesectpqo4v 4tu not IumlETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1Riquest[cedilAtilde5Atilde5Agrave5Atilde|Iuml

szligAumldraquoOgraveufrac14cedil4EcirciquestszligyIuml] uacute_^J^q iquest` szlig9Atilde5ordmdsup1AumldraquoEumlsEacuteifrac14AEligwAtildeEcircFAEligqAacutewcedil4frac14ZAacuteAtilde5ordm|sup1Atilde5AEligeOgraveuAumlcedil-frac14dAgraveAacutesup1AcircnAtildeEgraveAgraveAuml|raquoLAacuteAuml|AringcedilIgrave(AumlUEcircAtilde5frac12AElig_aIuml x4~rv p4PldrRtcoPl|poundUodUp il|WoqodshyiUrv paumlumltutco I v dividezw iquest divideddividez^+yUdivide uacute Iuml

atildefrac14Igrave(AEligwAuml|raquoiquestzhIumliquestzIumlzZ=frac12frac14raquo~AgraveEumleacuteAtildecedil4frac14AringiEcirciquestJ[NtildeIumldagraveAringEacutePAtildecedilwAacuteiquestfrac14draquo~Ecirc dIumlJregPAtildecedilAring~Eacutesup1frac14I] dividedugravedugrave|ugrave iquest` agrave frac12Atilde5Acirc|Atilde5frac12UAEligwAtildeAacuteIgrave(AumlUEcircAtilde5frac12nOgraveregAumldcedilsup1Igravefrac14ordm|AtildeAgrave5frac12frac14dAEligwAEligwsup1siAgravefrac14ZAacutesup1Auml|raquo13aIuml x4~rv p4PlrRtcodPldpoundUodUp4Pl|BoqNtildeodshyiUrv pOtildeumltreg4tRod shy v Ew iquest uacute r4y~uacute4^Er Iuml

atildefrac14raquo~ordmdCcedilgsup1raquoAtilde|iquest9atilde]IumlEgravefrac14draquo~Ecircszlig0IumlampiexclAumldcedilraquoAtilde v Atilde5EcircAElig5Iuml w ] uacute_^J^ Uiquest ~vIacuteo|odUpaumltushyl not vipqo4v 4tu not ldP|m4oo4uml Iumlh=Icircifrac14dOumlIgravefrac14draquodegmacriexclampfrac14dfrac12frac12RIumlatildeAtildeAacuteIcircsup1frac14draquoiquestdIumlplusmn] uacute4^z^|ugrave iquestU` oAringIgrave(Atildecedilsup1Agravefrac14dfrac12Ufrac14frac12ordm|Aumldcedilsup1currenAacuteIcircIgrave(AEligWOgraveuAumldcedilOumlcedilAuml|Oumlifrac14ordmnfrac14ZAacutesup1raquoordmsup1raquoLAacuteAtildecedilwOgraveRfrac14Agrave5Atilde5AElig_]Jiexclampfrac14dIgrave(sup1frac12currenAacuteAuml|raquoEumldnfrac14dAgrave5AumldEacute~sup1

AtildeecircLAringifrac14Aacutesup1Aumldraquo~AElig-frac14draquoiEcircAgraveAuml|raquo~AEligwAtilde cedilAcirc|frac14ZAacutesup1Aumldraquo(frac12frac14CcedilgAElig_aIuml poundUodUp4Pl|]oqEgraveyen$t lv pv rRtcl| voshyv rRp~ iquest uacute4Uuacutey~uacute x uacute IumlatildeAtildeAacuteIcircsup1frac14draquoiquestAdIuml] uacute4^J^ xiquest kWvndvB]v r j v rregod IumlcurrenhEgravefrac14dIgraveNtildeEacutecedilsup1EcircordmdAtilderaquosup1AcircPIumlAfecedilAtilde5AEligwAElig5Iumlatildesup1Ecirc~Ecircsup1ecircUsup1Riquest4bIumliquest_yenNtildeIumlBfrac14Aring~Ocirc5sup1Gsup2AtildecedilAtilde|iquestagraveyIumlETHWfrac14draquoraquo~Atilde5raquoUEacute~frac14dAring~IgraveUacuteiquest5frac14draquo~EcircNtildeatildePIumlregPAring~Agrave4UgravenAtildecedil4] uacute_^J^ xUiquestE`currenagravegcedilAtildefrac149frac14draquoiEcirc$frac12Atilde5raquoordmdAacuteIcircyIgrave(sup1raquoEuml

sup1Igrave(sup1Ocirc5sup1raquoordm sup3iAumlCcedilgAEliggOgraveuAumldcedilAEligwIcircifrac14OumlPAtildeyAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo13aIuml xQ|||~pwl~ lnrRtcodoOtildex4shyl not vsectEgravepwo4v tu notordf v Ew iquest qEz+yqzqE Iumlyen=AtildeOcirc5Ocirc5sup1RiquestagraveyIumliquest5agrave0Iuml5ETHEgraveAEligfrac14dsup1Riquestfrac14draquo~Ecirc$agrave0Iuml Ucirc sup1frac12frac12AEligwUgraveLfrac34] uacute4^z^J^ iquestJ` agraveaeligAEligqAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12Ufrac14dOumlOumlcedilAumlnfrac14Agrave IcircampAacuteAumlgAEligwraquo~frac14dUgravenAtilde5AElig]OgraveuAumlcedilWEacutesup1Igrave(AumlUEcircfrac14dfrac12frac14draquoiEcircAacutewcedilsup1Igrave(AumlUEcirc~frac14frac12isup1Igravefrac14dordmdAtildecedilwfrac34aIumligraveraquo13] x4rv p ildrRtcodil|eodv pwv P4vyodx4shyl not vgsectpqo v tu not IumlAb$AumldEacutePAtildednfrac14dOuml~frac14draquoIumlreg]IcircUAringiquest]atilde]Iumlfrac14raquoiEcircaumlagrave0Iumleyen=Aringsup1frac12frac12AtildeJ] uacute_^J^ xUiquestpound` szlig9Atilde5ordmdsup1AumldraquotimesAgrave5AumldIgrave(OumlPAtildeAacutesup1currenAacutesup1Auml|raquo13]iAring~raquo~sup1currenOgraveYacutefrac34sup1raquoordmiexclAEligwraquo~frac14dUgravenAtilde5AElig5iquestPcedilAtildeordm|sup1Auml|raquoTordmdcedilAumlCcedilgsup1raquo~ordmiquestfrac14draquoiEcircZEgravefrac145frac34LAtilde5AEligacute|aacuteTHORNOgraveregAumldcedilIgraveFAring~frac12currenAacutesup1Eacuteifrac14raquoiEcirc sup1Igravefrac14ordm|AtildeTAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo13aIuml xQ|||micro~pwld lnrRtcodtimesosect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4v Icent iquesteJ q+yU^dugrave|ugrave Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfo

i $amp)(+-)013021+345627893lt=gt9A6CBfrac12OcircacuteIshyNT

frac12OcircacuteIltNTpara frac12frac34EMeJaumlQcYZYZjJUacuteQsY H [ ^QEgraveJLhZJUO H QcN H J H MeJordfXiacute[]fcfR[WQcO[Oslash^e[]ZaringNPQsOXiacutejOb H QR[]ONPfdaringocirc|adOuml times jOcircaacute uuml times a2atildeltszligaumlgtszliglOuml times j atilde auml

G QsObnJ H MJeumlYZJ H [SXIacuteNPfcfUacute^e[]ZaringNPQsOYMNPY Oe[ H N Y H hjb H jhZJ`[SXUPJUb H [PhQcNPfOtildeYZKNPbnJSefRJ H jYZ N`PJ H MeJeumlhZJ[]QR[]OYJUP[]fVUPJ H MehZ[]j[]M NrXqNSZaringQcfVm [SX H hNPOYYX[PhlZ N H QR[]OYa(|aagraveszlig jj emiddot iacuteaumlYlZOslash[[ H MaNPO^ centQ ~JUb H QVUPJS^ not [PhNOslashKEgrave[]QcO H $ aacute atildeshyszligaumlN eFWFJTOe[ H JSaring$ aagravej|aacutemiddot|aagraveszlig $ j WiexclQ H M |a s szlig $ jaacute $OumlcopytimesaagravejOcircaacutemiddot|aagraveszliglOumlutimesdj WiexclQ H M |a s szliglOumlcopytimesAjOcircaacuteAumlOumlutimes9J H jY H MeJUO^JOeJ H MeJordfUPJUfR[WbLQ H moUPJUb H [PhdY JUfs^kfrac12 YZjbM H MN H aringfrac12sup1aagraveszlig $ aagravejj|aacute aelig |aelig agrave aagraveszlig $ j YlaquoXiacuteNiharingNPY H MeJ bn[]ZOslashKj H N H QR[]O[SX H MeJ ^eJLhQU~N H QVUPJ QcYOslashbn[]ObnJLhOeJU^OeWFJNihZJQcOWVH JLhZJUY H JU^ QcO YYZaringNPfcfOtilde^JX[PhlZ N H QR[]OY^ J H MBjYJkWKNPO^ H MeJ H hNPOYX[PhZaringN H QR[]ONPbLbn[Ph^QcO[ H [hdY H [Ph^eJLh NmWfR[PhyacuteXiacute[PhlZtimesjfcNaring|aagraveszlig $ jpoundaacuteAElig|a s szlig $ j agrave aelig |aelig agrave a s szlig $ jaacute $ ragrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacute frac14 frac14 a s szlig $ j^ J H MeJUOQcO H hZ[W^jbnJ H MehZJLJgZ NPQcO^eJOQ H QR[]OYaringf^QMeJg0jfRJLhQcNPO^eJLhQU~N H QVUPJOtilde[SXocirc|adOuml times jordfaqQcO H MeJIacute^QRhZJUb H QR[]O[SXcedilfrac12jaring ocirc|adOumlcopytimesszlig_frac12jOcircaacutefcQZUcedil iacute ocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave admacrfj ^QMeJgZaringN H JLhQsNPfg^eJLhQVUiN H QVUPJOtilde[SXuumlStimesYa $ szliglOumlcopytimes)jaringsup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j|aacutefcQZUcedil iacute uumlStimesa $ ragrave3frac12ba $ jszliglOumlutimes agrave3frac12sup1a $ jj uuml]timesa $ szliglOumlcopytimesdjagrave admacr j^QMeJaumlYZMNiKEgraveJOtilde^eJLhQU~N H QVUPJOtilde[SXOcircuuml]timesa $ szliglOumlutimes)jaring

uumlnotraquotimes a $ szliglOumlcopytimesUcircszlig_frac12 jaacutefcQZUcedil iacute uumlStimesYa $ szliglOumlutimesragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave admacrS]j

uumlnyacutenthornnyumll13YSordmY_Fordfy

yenKbrvbarsect =4 acirc $ hq centUWQR[]jYZfVmSe-centmaJkBKNPO^QcO[ admacr jUacuteNPbLbn[Ph^QcOF[ H [hdY H [Phd^eJLhordfNmBfR[PhordfXiacute[PhlZtimesjfcNeWFJaumlMNUPJSaring sup1uumlStimesYa $ szliglOumlcopytimesUcircszlig_frac12 jaacuteAumluumlnotraquotimes a $ szliglOumlcopytimesszlig_frac12jhuumlStimesa $ szliglOumlcopytimes)j frac12sup1a $ j admacrj J H MeJUOabn[]ZOslashK-j H JZOslash[PhJaumlKhZJUbLQcYZJUfVm H MJ0jfRJLhQcNPO ^eJLhdQVU~N H QUPJauml[SXcopyocirc|adOumlcopytimesdj^ JMNUPJSaringocircOcircadOumlutimesaagravejj ocircOcircadOumlutimes)jagrave aacute fagrave = thorn yuml uuml times a $ aagravejszliglOuml times aagravejj $ uuml times a $ szliglOuml times j $ FH admacrSmacr]j5O H MJohY H QcO H J[PhdNPfdeltWFJZaringN`PJ H MeJU~NihdQcNicentfRJ bMNPO[PJ $ aagravejaacute $ agrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacuteethicirc7a2atildeshyszligaumlFjszligicirc cent a2atildeltszligaumlj eWMQcbdM[]QVUPJUYaring thorn yuml uuml]timesYa $ aagravejszliglOumlcopytimesYaagravejj $ aacute admacrS]j

5 uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlutimes agrave3frac12sup1a $ jjlt^eJ H ocirc a $ jlt $WMJLhZJocirc a $ jQcY H MeJgXiacute[]fcfR[WQcO[aringSNPbn[PcentQcNPOtZaringN H hdQkKaring

ocirc a $ jaacute oacute fcedilxagrave frac14 iacute oslashfrac14Uordm agrave frac14 iacute oslashfrac14 ugraveagrave frac14 iacute acircfrac14ordm fcedil agrave frac14 iacute acircfrac14 ugrave ocircNPO^ YZ[eFWNtildeJIacuteMNUPJSaring

^eJ H ocirc a $ jOcircaacute fUragravee^QVUKafrac34frac12sup1a $ jjragrave cent ^eJ H amacr frac12sup1a $ jjMJUOWNtildeJauml[Pcent H NPQcOOaring

fsQZcedil iacute ^eJ H ocirc a $ j fagrave aacute ^QVUKafrac34frac12sup1a $ jj admacr]zSjMJJBjN H QR[]OxadmacrSmacr]j H MeJUOcent=JUbn[]ZaringJUYaringocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave aacute fagrave middot uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jjlt 13raquo ocirc a $ jlt $ uumlStimesa $ szliglOumlcopytimesAj $ admacrSi]j JTbLNPO`YZjeKKEgrave[]YJ H MN H ^eJ H aocirc a $ jjfrac14aacute sfrac12 agrave frac12 $ ^ JZaringNm H MeJUO H N`PJ^eJ H aocirc a $ jjfrac34 s eNPO^ WNtildeJ ^eJUPJUfR[PK H MeJaJkWKhZJUYYZQR[]OadmacrSi]j NPYoX[]fsfR[WQsO[centmNP^^QcO[aringN H JLhZ QcO H MeJIacuteYZJUbn[]O^aQcO H J[PhNPfltWMQcfcJaumlYZjeKKhJUYZYZQcO[ H MeJtimesYZNSZOslashJ H JLhlZQcO H MJordfhY H QcO H J[PhNPfdaring ocirc|adOumlcopytimesYaagravejj ocirc|adOumlcopytimes)jagrave aacuteegraveOtildef1rOtilde cent admacrSh]j

uumlnyacutenthornnyumll13YSordmY_Fordf

s $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJSaring

Otilde aacute uuml]timesa $ ragrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave ^eJ H aocirc a $ jj $ ad s jOtilde cent aacute uuml]timesa $ szliglOumlcopytimesdj ^eJ H aocirc a $ jj fagrave $ adfj

9J H jY_ZaringN`PJordmagrave H JUO^ H [WNih^Y s ^curreniquestYZQcO[frac34admacrjiexclNPO^JOQ H Qc[]OYadmacr e macrS]jeWFJ[PJ H aringfcQZUcedil iacute Otilde aacute sup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j $

aacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ uuml times a $ szliglOuml times j frac12sup1a $ j $fcQZUcedil iacute Otilde cent aacute uuml]timesa $ szliglOumlcopytimesdj^QVUKafrac34frac12 j $

O^ Y[Xiacute[Ph H MeJgNtildejfRJLhQsNPO ^eJLhQVUiN H QVUPJSeWFJgO^Oaring ocirc|adOuml times szlig_frac12jumlaacuteyacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ amacrreguumlStimesYa $ szliglOumlcopytimes)j frac12sup1a $ j7 uuml]timesYa $ szliglOumlcopytimes)j^QVUKafrac34frac12sup1a $ jjj $aacute uumlnotraquotimes a $ szliglOuml times szlig_frac12j $ ^QVUKaduuml times frac12j $ ad j

MeJUO NiKKfVmWQcO[ H MJ hJLJUOWVAQRJZ NPOO H MeJL[PhZJZQcO ad jeWNtildeJ5ONPfcfmtimes[Pcent H NPQcOOaring ocirc|adOumlcopytimesszlig_frac12jOcircaacute uuml raquotimes a $ szliglOumlcopytimesUcircszlig_frac12j $ uacutefrac14 5 uuml]timesYafrac34frac12 eacuteAgraveiquestsup1AacuteAtildeAcircj THORN adS]jWMJLhZJ5eacuteAgraveiquestsup1AacuteAtildeAcircyQcY H MeJUacutejOQ H QcOOgraveWNih^ Oe[PhlZaringNPf H [ aelig OumlcopytimesUcirc^MeJ_NtildejfRJLhQcNPO ^eJLhQVUiN H QVUPJQcY(O[ H JU^ ocirc raquo aagravej(QcO H MeJaumlKNiKEgraveJLhNPO^ H MeJaumlYZMNiKEgraveJauml^eJLhQU~N H QVUPJyuuml raquotimes QcY(Oe[ H JU^ frac14 frac14 ^iquest acutemicrosup1cedilFLft not [PhyYQZOslashKfcQsbLQ H mSeWNtildeJ(bM[[]YJ H MeJcopyXiacute[]fcfR[WQcO[_U~NihQsN H QR[]OaeligQcO H MeJKhZ[B[SXaring$ aagravejaacute $ agrave3frac12sup1a $ j^MJiexclKh[[SXZaringNm NPfcYZ[IacutecentEgraveJiexcl^JUPJUfR[PKEgraveJU^WiexclQ H MZaring[PhZJ_[PJUOJLhNPfUiNihQcN H QR[]OYFYjbM NPYaring $ aagravejaacuteAacuteAgravea $ szligYagravejWQ H MAcircAgrave`NOslashYYZOslash[B[ H MXiacutejOb H QR[]ONPO^AcircAgravea szligYagravejcentQ ~5JUb H QVUPJS^

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ ffrac12OcircacuteIshyNT AcircE J(MNUPJ H [Otildebn[]ZOslashK-j H J H MJNtilde^QEgraveJLhZJUO HH JLhZaringY9[SXQa macr]j9QsOauml[Ph^eJLh H [Uacute[Pcent H NPQcO H MeJ

JUP[]fcj H QR[]OJBjN H QR[]O[SX H MeJ NPb H QUPJ bn[]O H []jehX[Ph H MeJ ^JUYZbnhQRK H [PhdYaumlcentNPYJU^Oacute[]OH MeJ(bn[U~NihQsNPObnJ ZaringN H hQVktimes^eJ H JLhlZ QcONPO H a2Ograveh]j^OgraveMeJ(bn[]ZOslashKj H N H QR[]OaringQcYampKEgraveJLhYXiacute[PhlZOslashJU^Xiacute[Ph H MeJIacute^eJUYZbnhQRK H [Ph_uuml thorn timesOslash yuml ^ q centUWQR[]jYZfmSeN YZQZ QcfcNihbn[]ZOslashKj H N H QR[]OabLNPOacent=JIacute^e[]OeJXiacute[PhOcircuuml thorn UgraveUcircUacuteUuml yuml ^ JiexclbLNPOaeligJkBKhJUYZYOcircuuml thorn timesOslash yuml NPYyNUacutebn[]ZTcent-QcON H QR[]Oaelig[SXgtXiacutejOb H QR[]OYamp^eJLKEgraveJUO^QcOF[[]O H MJOtildehZJ[]QR[]OwOuml timesOslash aring

uumlgtthorn times Oslash yuml a2atildeltszligaumlgtszligYagravejaacute`Ograveoacute m thorn timesOslash yumlaIgraveagrave thorn timesOslash yumlAtilde j cent ocirc adjWMJLhZJordmaacuteAuml85eWiexclQ H MAring8 H MeJordfXqjOb H Qc[]O QcO H h[B^jbnJU^ QcOpounda2Ograveh]je-NPO^aringm thorn timesOslash yuml aacute agrave thorn timesOslash yuml agrave thorn timesOslash yumlcent agrave thorn timesOslash yuml agrave thorn timesOslash yumlAElig agrave thorn times Oslash yumlCcedil agrave thorn timesOslash yumlEgrave agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlEgrave j cent agrave thorn times Oslash yumlcent aIgraveagrave thorn timesOslash yumlCcedil j cent agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlAElig j centWQ H MOaring EFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFH

agrave thorn timesOslash yuml aacute w$ thorn yuml aOtilde S times Oslash j cent atilde aumlagrave thorn timesOslash yumlcent aacute w$ thorn yuml aOtildeOgravecent Scenttimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yuml aacute w$ thorn yuml aOtildeS Stimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yumlAElig aacute w$ thorn yuml aOtilde S times Oslash jaOtildeOgravecent ScenttimesOslash j atilde aumlagrave thorn timesOslash yumlCcedil aacute w$ thorn yuml aOtilde S times Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlEgrave aacute w$ thorn yuml aOtilde cent S centtimes Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlAtilde aacute w$ thorn yuml atilde auml O^ Y[ H MJordfXiacutejOb H QR[]OY aelig thorn timesOslash yumlauml MNUPJ H MeJgXiacute[]fcfR[WiexclQcO[aeligJkBKhZJUYZYZQR[]OYaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

aelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlcent aacute aOtilde cent S centtimesOslash j centaelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlAElig aacute aOtilde S timesOslash jaOtilde cent S centtimesOslash jaelig thorn times Oslash yumlCcedil aacute aOtilde S timesOslash jaOtilde S timesOslash jaelig thorn times Oslash yumlEgrave aacute aOtildeOgravecent ScenttimesOslash jaOtilde13 StimesOslash jaelig thorn times Oslash yumlAtilde aacutemiddotf

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBnot h[]Z H MeJUYJaumlJkWKhZJUYYZQR[]OYeWFJOtildeJUNPYZQcfm ^eJU^jbnJ H MN H aring

$ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde aumlregaacute sEacutefrac12poundEcirc iuml

J H MeJUO MNUPJ H [Tbn[]ZaringKj H J H MeJ H JLhlZaringY eacute thorn times Oslash yumlauml XiacutehZ[]Z H MeJJkWKhZJUYZYQR[]OYamp[SXagrave thorn timesOslash yumlauml eWMQcbM fRJUNP^Y H [aringEFFFFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFFFFH

eacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideoslash aacute w$ thorn yuml uacute ouml $ordfdivideacirc uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIgrave yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H a timesOslash jjeacute thorn timesOslash yumlcent aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideacirc

aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIcirc yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideEuml aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideacirc thorn thorn uacute ouml $_divideIuml yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yumlAElig aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIuml aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideEuml uacute ouml $ordfdivideIuml thorn uacute ouml $_divideIcirc uacute ouml $ordfdivideIgrave yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlCcedil aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIcirc aacute w$ thorn yuml cent thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideacirc uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlEgrave aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIgrave aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideoslash uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlAtilde aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIacute aacute w$ thorn yuml thorn +ETH ouml $_dividethorn uacute ouml $ordfdivideIacute yuml Iuml 8 raquo aq^J H a timesOslash jj

O^centmJkWKhZJUYZYZQsO[ H MeJbn[UiNihQcNPObnJZaringN H hQVkpoundWQ H M H MJregXqjOb H QR[]OYagrave thorn timesOslash yumlauml NPYXiacute[]fcfR[WQcO[aring

timesOslashlaquoaacute 1NtildeNtildeNtildeNtildeNtildeNtilde3uacute ouml $ordfdivideoslashuacute ouml $ordfdivideIacute uacute ouml $_divideIumluacute ouml $_divideIacute uacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIumluacute ouml $ordfdivideIacute uacute ouml $_divideacircuacute ouml $_divideIacute uacute ouml $ordfdivideIgraveuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacute uacute ouml $_divideIgraveuacute ouml $_divideIacute uacute ouml $ordfdivideEumluacute ouml $ordfdivideIacute

6OgraveOgraveOgraveOgraveOgraveOgrave7 J H MJUO^eJU^jbnJSaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

eacute thorn times Oslash yuml aacute a fj thorn yuml ^eJ H aDC Ptimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlcent aacute a fj thorn centcent yuml ^eJ H aDC centcenttimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yuml aacute a fj thorn curren yuml ^eJ H aDC 4times Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlAElig aacute a fj thorn cent yuml ^eJ H aDC centtimes Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlCcedil aacute a fj thorn curren yuml ^eJ H aDC times Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlEgrave aacute a fj thorn centcurren yuml ^eJ H aDCcent4times Oslash j48 raquo aq^eJ H a timesOslash jjeacute thorn times Oslash yumlAtilde aacute amp^eJ H a timesOslash j48 raquo aq^eJ H a timesOslash jj

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ SWMJLhZJC EBtimesOslash QcY H MeJgZaringN H hdQk ^eJU^jbnJU^Xh[]ZOacutetimesOslasharingcentm YZjeKKhZJUYZYZQcOF[ H MeJyuuml UumlON hZ[WNPO^ H MJ I UumlON bn[]fcjFZaringOO^]MeJbn[]ZOslashKj H N H Qc[]OordmX[Ph H MeJ^eJUYZbnhdQRK H [Ph|uuml thorn UgraveUcircUacuteUuml yuml QcYyYQZaringQcfcNihNPO^WFJ H MeJUOOslashMNUPJNPfcf H MeJ(JkWKhZJUYZYZQc[]OY H [aumlbn[]ZOslashKj H J H MeJJUP[]fcj H QR[]OaeligJjN H QR[]OXiacutehZ[]Z H MeJg[PJUOJLhNPfOXiacute[PhlZIacutejfcNta macr]j^gtMQcYcopy[]QVUPJUY H MeJTJUP[]fcj H QR[]O JBjN H QR[]Osup1admacr s j^

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBΩ out

Objects

Γ

inΩ

inΩ

Background Part

-t not Upv copy ETHEgraveIcircAtildeampAacuteiacuteCcedil=AumlFcedilAtilde5ordm|sup1Aumldraquo~AElig9AumldOgravefrac14raquoUacutesup1Igravefrac14dordm|Atilde

Ω

Ω out (τ)Ω

(τ)in

N

Γ(τ)

Ω

N

v

w

N

-t not Upv ETHEgraveIcircAtildeyEcircAumldIgravefrac14dsup1raquo~AEliggfrac14raquoiEcircAacuteIcircAtilde$AcircnAtilde5AgraveAacuteAumlcedilAEliggsup1raquoUAcircnAumldfrac12AcircnAtildeEcircsup1raquoiexclAacuteIcirc~Atilde$EcircAtildecedilsup1Acirc|frac14ZAacutesup1Aumldraquo

uumlnyacutenthornnyumll13YSordmY_F2ordf

yenKbrvbarsect =4 acirc $ Smacr

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 Atilde|IumligraveAacuteAtildecedil4frac14ZAacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvyzU eacuteWsup1ordm|AringcedilAtilde5AEligfrac14iquest Eacuteiquest AgraveJ]iUumlAcircnAumldfrac12AringAacutesup1Auml|raquoOtildeAumlOgraveeAacuteIcirc~Atildeyfrac14dAgrave Aacutesup1Acirc|Atilde0AgraveAuml|raquoLAacuteAuml|AringcedilIgravefrac14raquoifrac14ordm|AtildeEcircUacuteEacuteLfrac34AacuteIcirc~AtildefTHORN$Uuml v qzqwsup1raquo~Agrave5frac12AringiEcircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquoifrac14frac12ampAacuteAtildecedilIgrave(AElig5IumlgeacuteWsup1ordm|AringcedilAtilde5AEligOtildeEcirc]iquest Atildediquest Ograve] g sup1AEligwAringifrac14frac12sup1Ocirc5frac14Aacutesup1Auml|raquo`AumldOgrave0AacuteIcirc~AtildeTAgrave5AumldcedilwcedilAtilde5AEligwOumlPAumldraquoiEcircsup1raquoordmAcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 OgraveuAring~raquoAgraveAacutesup1Auml|raquosup1raquo~Agrave5frac12Aring~Ecircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquo~frac14dfrac12ampAacuteAtildecedilIgrave(AEligraquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirc EacutePAtildeAacuteiacuteCcedil=Atilde5Atilde5raquo ugrave frac14draquoiEcirc divide JUiquestAEligwAring~Agrave4IcircTAacuteIcirc~frac14Aacute$AacuteIcircAtilderaquo~Atilde5ordm|frac14Aacutesup1AcircnAtildeAcircdfrac14dfrac12AringAtilde5AElig0frac14cedilAtildefrac12AumlCcedilEgraveAtildecedilyAacuteIcirc~frac14draquo uacutedivide Uacutefrac14raquoiEcircaumlAacuteIcirc~AtildeOumlPAumldAEligwsup1Aacutesup1AcircnAtilde(Aumldraquo~Atilde5AEligyfrac14ZcedilAtilde(Icirc~sup1ordm|IcircAtildecedilAacuteIcircifrac14raquo uacuteZdivide Iuml

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

Ecirc]Iumligraveraquo~sup1currenAacutesup1frac14dfrac12BAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 Atilde|IumligraveAacuteAtilde cedil4frac14Aacutesup1Auml|raquo ugravedugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not Upv ucirc eacuteWsup1ordmdAringcedilAtilde5AEligtimesfrac14iquest Eacuteiquest AgraveJ]ampUumlAcirc|Auml|frac12AringAacutesup1Auml|raquoAumlOgrave(AacuteIcirc~Atildearingfrac14AgraveAacutesup1AcircnAtildeOslashAgrave5Auml|raquoLAacuteAumldAringcedilIacuteIgravefrac14draquoifrac14ordm|AtildeEcirc`EacuteUfrac34AacuteIcircAtildeOcircfTHORN$Uumlv q w iquestiexclCcedilgsup1currenAacuteIcirc~AumldAringAacuteAacuteIcirc~Atildefrac14dEcirc~Ecircsup1Aacutesup1Aumldraquoifrac14dfrac12TAacuteAtildecedilIgrave(AElig5IumliexcleacuteWsup1ordm|AringcedilAtildeAElig Ecirc]iquest Atildediquest Ograve] g sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo AumlOgraveaeligAacuteIcirc~AtildeAgraveAumldcedilwcedilAtildeEumlAEligwOumlPAuml|raquo~Ecircsup1raquo~ordm AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 OgraveregAring~raquo~Agrave Aacutesup1AumldraquoeumlCcedilgsup1currenAacuteIcirc~Auml|AringAacuteIacuteAacuteIcircAtilde frac14|Ecirc~Ecircsup1currenAacutesup1Aumldraquoifrac14frac12FAacuteAtildecedilIgrave(AElig v raquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirceumlAEligwAring~Agrave4Icirc AacuteIcirc~frac14AacuteIgravefrac14icirc vOOtilde wpOumldivide z w Iuml

uumlnyacutenthornnyumll13YSordmY_F2

S $amp)(+-)013021+345627893lt=gt9A6CB

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIumligravesAacuteAtildecedil4frac14Aacutesup1Aumldraquogt ugrave|ugrave AgravedIumlieacuteWsup1raquoifrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12Acirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 AtildedIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIumlieacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvtimesLg sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo(AumldOgravePAacuteIcirc~AtildeAtildeAcircnAuml|frac12AringAacutesup1AumldraquoAumldOgravePAacuteIcircAtildeEgraveAgrave5Auml|raquoLAacuteAumldAringcedil-frac14draquo~EcircNtildeAacuteIcirc~AtildeEgraveAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 v Ccedilgsup1AacuteIcircAuml|AringAacuteAacuteIcircAtildeEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircFAacuteAtilde cedilIgrave w OgraveregAumldcedilEgraveAacuteIcircAtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoAumlOgraveAacuteIcircAtilde9Ograveufrac14dAgrave5AtildeAring~AEligwsup1raquo~ordmyAacuteIcirc~Atilde9Agrave5AumlZAcirc|frac14Zcedilsup1frac14draquo~AgraveAtildeIgravefrac14Aacutewcedilsup1currenicirc]Iuml

frac14Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcircnAtilde EacuteIumligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 v AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde w Agrave|Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacutefrac34 v Acircdfrac14cedilsup1frac14draquoAgrave5Atilde w-t not Upv h=AumldIgrave(Oumlifrac14cedilsup1AEligwAumldraquoOtildeAumldOgraveAacuteIcirc~Atilde$sup1raquo~sup1currenAacutesup1frac14dfrac12eAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34iexclAgrave5Auml|Igrave(OumlAringAacuteAtildeEcircAringAEligwsup1raquo~ordmAacuteIcirc~Atilde$AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde0Igravefrac14Aacutewcedilsup1currenicircv iordmdAringcedilAtildeFEacute w AacuteAumliexclAacuteIcircAtildeAuml|raquoAtildeFAgrave5AumldIgrave(Ouml~AringAacuteAtildeEcircTAringAEligwsup1raquo~ordmiexclAacuteIcircAtildeFAcircdfrac14cedilsup1frac14draquoAgrave5Atilde v ~ordm|AringcedilAtildeFAgrave w OgraveregcedilAumldIgrave AacuteIcirc~AtildeNtildeAEligfrac14dIgrave(Atildesup1raquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcirc|Atilde v iordmdAringcedilAtilde$frac14 w Iuml

uumlnyacutenthornnyumll13YSordmY_F2_a

yenKbrvbarsect =4 acirc $ ]z

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv Oslash| THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5AtildeccediliacuteAtildecedilsup1UgraveUegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_o

Si $amp)(+-)013021+345627893lt=gt9A6CB

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv ordf THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5Atildeccedilqfrac14dUgraveUsup1currenfrac34LAumldegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_y

RR-0114-SJEHANpdf
  • wwwi3sunicefr
    • httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf
Page 2: LABORATOIRE INFORMATIQUE, SIGNAUX ET SYSTEMES DE …mh/RR/2001/liste-2001.pdf · 2002. 6. 27. · [Dir01] DIRAT L. “Outils pour des Mathématiques Interactives et Distribuées”

LABORATOIRE I3S Les Algorithmes Euclide B ndash 2000 route des Lucioles ndash BP 121

06903 Sophia Antipolis Cedex ndash Teacutel (33) 492 942 701 ndash Teacuteleacutecopie (33) 492 942 898 httpwwwi3sunicefrI3SFR Pour tout renseignement srsquoadresser agrave Micheline Hagneacutereacute Teacutel (33) 492 942 704 ndash email mhi3sunicefr

Thegraveses

[Bea00] BEAUQUIER B

ldquoCommunications dans les reacuteseaux optiques par multiplexage en longueur drsquoonderdquo Thegravese de doctorat Sciences mention Informatique Universiteacute de Nice - Sophia Antipolis Janvier 2000

[Bla00] BLANC-FEacuteRAUD L

ldquoSur quelques problegravemes inverses en traitement drsquoimagerdquo Habilitation agrave diriger des recherches Speacutecialiteacute ldquoSciences pour lrsquoIngeacutenieurrdquo Universiteacute de Nice - Sophia Antipolis 7 Juillet 2000

[Deb00] DEBREUVE E

ldquoSegmentation par contours actifs en imagerie meacutedicale dynamique application en cardiologie nucleacuteairerdquo Thegravese de Doctorat Speacutecialiteacute ldquoSciences et Technologies de lrsquoInformation et de la Communicationrdquo Mention ldquoSciences Pour lrsquoIngeacutenieurrdquo Universiteacute de Nice-Sophia Antipolis 27 Octobre 2000 132 pages

[Del00] DELOBEL F

ldquoReacutesolution de contraintes reacuteelles non lineacuteairesrdquo Thegravese de Doctorat mention ldquoInformatiquerdquo Universiteacute de Nice - Sophia Antipolis Janvier 2000

[Gas00] GASPAR A

ldquoEtude de lrsquoadaptativiteacute de systegravemes eacutevolutionnistes en environnement agrave fitness dynamiquerdquo Thegravese de Doctorat Sciences mention ldquoInformatiquerdquo Universiteacute de Nice - Sophia Antipolis 4 Juillet 2000

[Gau00] GAUTIER R

ldquoPlanification seacutequentielle drsquoexpeacuteriences pour des modegraveles de parameacutetrisation non lineacuteairerdquo Thegravese de Doctorat Speacutecialiteacute ldquoSciences et Technologies de lrsquoInformation et de la Communicationrdquo Mention ldquoSciences pour lrsquoIngeacutenieurrdquo Universiteacute de Nice-Sophia Antipolis 19 Juin 2000 168 pages

[Got00] GOTLIEB A

ldquoGeacuteneacuteration Automatique de Cas de Test Structurel avec la Programmation Logique par Contraintesrdquo Thegravese de Doctorat Sciences mention ldquoInformatiquerdquo Universiteacute de Nice - Sophia Antipolis 24 Janvier 2000

[Gre00] GRELLIER O

ldquoDeacuteconvolution et Seacuteparation de Sources Discregravetesrdquo Thegravese de Doctorat Sciences mention ldquoSciences Pour lrsquoIngeacutenieurrdquo Universiteacute de Nice - Sophia Antipolis 26 Janvier 2000

[Jun00] JUNG J

ldquoOMD une meacutethode de deacutecodage optimal orienteacutee objet pour les seacutequences drsquoimagesrdquo Thegravese de Doctorat Sciences mention ldquoElectroniquerdquo Universiteacute de Nice-Sophia Antipolis 17 Novembre 2000 189 pages

LABORATOIRE I3S Les Algorithmes Euclide B ndash 2000 route des Lucioles ndash BP 121

06903 Sophia Antipolis Cedex ndash Teacutel (33) 492 942 701 ndash Teacuteleacutecopie (33) 492 942 898 httpwwwi3sunicefrI3SFR Pour tout renseignement srsquoadresser agrave Micheline Hagneacutereacute Teacutel (33) 492 942 704 ndash email mhi3sunicefr

[Mal00] MALLET F

ldquoModeacutelisation et eacutevaluation de performances drsquoarchitectures mateacuterielles numeacuteriquesrdquo Thegravese de Doctorat Sciences mention ldquoSciences pour lrsquoIngeacutenieurrdquo Universiteacute de Nice - Sophia Antipolis 21 Deacutecembre 2000

[Mar00] MARLIN N

ldquoCommunications Structureacutees dans les Reacuteseauxrdquo Thegravese de Doctorat Sciences mention Informatique Universiteacute de Nice - Sophia Antipolis Juin 2000

[Mom00] MOMPRIVEacute S

ldquoClassification automatique de cibles observeacutees par un systegraveme optroniquerdquo Thegravese de doctorat mention Sciences Pour lrsquoIngeacutenieur Universiteacute de Nice-Sophia Antipolis Octobre 2000

[Rai00] RAIMBAULT S

ldquoContribution agrave la Conception et au Prototypage de Systegravemes sur Silicium Evaluation Fonctionnellerdquo Thegravese de Doctorat Sciences mention Informatique Universiteacute de Montpellier II 19 Deacutecembre 2000 151 pages

[Sag00] SAGNOL D

ldquoConception et Optimisation de Programmes agrave Objets Parallegraveles Reacutepartis et Multithreadesrdquo Thegravese de Doctorat Sciences mention ldquoInformatiquerdquo Universiteacute de Nice - Sophia Antipolis 5 Juin 2000

[Sam00] SAMSON C

ldquoContribution agrave la classification drsquoimages satellitaires par approche variationnelle et eacutequations aux deacuteriveacutees partiellesrdquo Thegravese de Doctorat mention Sciences Pour lrsquoIngeacutenieur Speacutecialiteacute ldquoTraitement des imagesrdquo Universiteacute de Nice-Sophia Antipolis 26 Septembre 2000 204 pages

[Ser00] SERRANO M

ldquoVers une programmation fonctionnelle praticablerdquo Habilitation agrave diriger des recherches Septembre 2000 Universiteacute de Nice - Sophia Antipolis

[Tou00] TOURET A

ldquoLrsquoespace geacuteographique et lrsquoaccessibiliteacute vers une approche unifieacutee analytique-systeacutemiquerdquo Thegravese de Doctorat Sciences mention ldquoInformatiquerdquo Universiteacute de Nice - Sophia Antipolis 21 Deacutecembre 2000

[Pas00] PASQUIER N

ldquoData mining Algorithmes drsquoextraction et de reacuteduction des regravegles drsquoassociation dans les bases de donneacuteesrdquo Thegravese de Doctorat Universiteacute Blaise Pascal Clermond-Ferrand II Feacutevrier 2000 234 pages

[Ber01] BERGER L

ldquoMise en Oeuvre des Interactions en Environnements Distribueacutes Compileacutes et fortement Typeacutes le Modegravele MICADOrdquo Thegravese de doctorat mention Informatique Universiteacute de Nice-Sophia Antipolis Octobre 2001

[Cay01] CAYOT R-O

ldquoReacutecupeacuteration automatique drsquoerreurs syntaxiques en analyse discriminante reacutetrograderdquo Thegravese de doctorat Sciences mention Informatique Universiteacute de Nice-Sophia Antipolis Deacutecembre 2001

LABORATOIRE I3S Les Algorithmes Euclide B ndash 2000 route des Lucioles ndash BP 121

06903 Sophia Antipolis Cedex ndash Teacutel (33) 492 942 701 ndash Teacuteleacutecopie (33) 492 942 898 httpwwwi3sunicefrI3SFR Pour tout renseignement srsquoadresser agrave Micheline Hagneacutereacute Teacutel (33) 492 942 704 ndash email mhi3sunicefr

[Cou01] COUDERT D

ldquoAlgorithmique et optimisation de reacuteseaux de communications optiquesrdquo Thegravese de doctorat mention Sciences Pour lrsquoIngeacutenieur Universiteacute de Nice-Sophia Antipolis Deacutecembre 2001

[Cre01] CRESCENZO P

ldquoOFL Un modegravele pour parameacutetrer la seacutemantique opeacuterationnelle des langages agrave objets - Application aux relations inter-classesrdquo Thegravese de doctorat mention Informatique Universiteacute de Nice-Sophia Antipolis Deacutecembre 2001

[Cue01] CUESTA F

ldquoSynthegravese des ressources de communication pour la conception de systegravemes embarqueacutes temps reacuteel flots de donneacuteesrdquo Thegravese de doctorat mention Informatique Universiteacute de Nice-Sophia Antipolis Octobre 2001

[Dir01] DIRAT L

ldquoOutils pour des Matheacutematiques Interactives et Distribueacuteesrdquo Thegravese de doctorat mention Informatique Universiteacute de Nice-Sophia Antipolis Janvier 2001

[Far01] FARREacute J

ldquoSur quelques aspects theacuteoriques et pratiques de la compilationrdquo Habilitation agrave Diriger des Recherches Sciences de lrsquoIngeacutenieur Universiteacute de Nice-Sophia Antipolis Deacutecembre 2001

[Jal01] JALOBEANU A

ldquoModegraveles estimation bayeacutesienne et algorithmes pour la deacuteconvolution drsquoimages satellitaires et aeacuteriennesrdquo Thegravese de doctorat mention Sciences pour lrsquoIngeacutenieur Universiteacute de Nice-Sophia Antipolis Deacutecembre 2001

[Muh01] MUHAMMAD W

ldquoEstimation de retards de facteurs drsquoeacutechelle et de variations de forme de signaux vectoriels application aux signaux biomeacutedicauxrdquo Thegravese de Doctorat Sciences mention ldquoElectroniquerdquo Universiteacute de Nice-Sophia Antipolis 9 Feacutevrier 2001

[Sto01] STOICA R

ldquoProcessus Ponctuels pour lrsquoExtraction de Reacuteseaux Lineacuteiques dans les Images Satellitaires et Aeacuteriennesrdquo Thegravese de Doctorat Sciences mention ldquoInformatiquerdquo Universiteacute de Nice-Sophia Antipolis 9 Feacutevrier 2001

LABORATOIRE I3S Les Algorithmes Euclide B ndash 2000 route des Lucioles ndash BP 121

06903 Sophia Antipolis Cedex ndash Teacutel (33) 492 942 701 ndash Teacuteleacutecopie (33) 492 942 898 httpwwwi3sunicefrI3SFR Pour tout renseignement srsquoadresser agrave Micheline Hagneacutereacute Teacutel (33) 492 942 704 ndash email mhi3sunicefr

Rapports de Recherche ndash Rapports Techniques RR 00-01 CAPOUILLEZ A CHIGNOLI R CRESCENZO P LAHIRE P

ldquoHow to Improve Persistent-Object Management using Relationship Information rdquo Rapport de Recherche I3SRR--2000-01--FR Mai 2000 14 pages

RR 00-02 CAPOUILLEZ A CHIGNOLI R CRESCENZO P LAHIRE P

ldquoGestion des objets persistants gracircce aux liens entre classesrdquo Rapport de Recherche I3SRR--2000-02--FR Avril 2000 10 pages

RR 00-03 CRESCENZO P PAQUELIN J-L

ldquoInfeacuterence de type et langages agrave objets de classesrdquo Rapport de Recherche I3SRR--2000-03--FR Feacutevrier 2000 10 pages

RR 00-04 PRONZATO L

ldquoExperimental design with random regressors at the design stagerdquo Research Report I3SRR--2000-04--FR March 2000 13 pages

RR 00-05 CAPOUILLEZ A CHIGNOLI R CRESCENZO P LAHIRE P

ldquoModeling hypergeneric relationships between types in XMLrdquo Research Report I3SRR--2000-05--FR March 2000 9 pages

RR 00-06 ANDREacute C PEacuteRALDI-FRATI M-A

ldquoBehavioral Specification of a Circuit using SyncCharts A Case Studyrdquo Research Report I3SRR--2000-06--FR March 2000 9 pages

RR 00-07 CAPOUILLEZ A CHIGNOLI R CRESCENZO P LAHIRE P

ldquoTowards a More Suitable Class Hierarchy for Persistent Object Managementrdquo Rapport de Recherche I3SRR--2000-07--FR Mai 2000 9 pages

RR 00-08 PRONZATO L THIERRY E

ldquoA Minimum-Entropy Estimation for Regression Problems with Unknown Distribution of Observation Errorsrdquo Research Report I3SRR--2000-08--FR June 2000 14 pages

RR 00-09 GRELLIER O COMON P

ldquoAnalytical Blind Channel Identificationrdquo Research Report I3SRR--2000-09--FR June 2000 25 pages

RR 00-10 CAPOUILLEZ A CHIGNOLI R CRESCENZO P LAHIRE P

ldquoHyper-geacuteneacutericiteacute pour les langages agrave objets le modegravele OFLrdquo Rapport de Recherche I3SRR--2000-10--FR Septembre 2000 16 pages

RR 00-11 ANDREacute Ch

ldquoSynchronous Interface Behabior - Syntax and Semanticsrdquo Rapport de Recherche I3SRRmdash2000-11mdashFR Deacutecembre 2000 17 pages

RR 00-12 PRONZATO L THIERRY E

ldquoSequential Experimental Design and Response Optimisationrdquo Rapport de Recherche ndeg I3SRR--2000-12--FR Deacutecembre 2000 12 pages

RR 00-13 JEHAN-BESSON S BARLAUD M AUBERT G

ldquoEulerian Region-Based Active Contours for Segmentation and Tracking of Non-Rigid Video Objectsrdquo Rapport de Recherche ndeg I3SRR--2000-13--FR Deacutecembre 2000

LABORATOIRE I3S Les Algorithmes Euclide B ndash 2000 route des Lucioles ndash BP 121

06903 Sophia Antipolis Cedex ndash Teacutel (33) 492 942 701 ndash Teacuteleacutecopie (33) 492 942 898 httpwwwi3sunicefrI3SFR Pour tout renseignement srsquoadresser agrave Micheline Hagneacutereacute Teacutel (33) 492 942 704 ndash email mhi3sunicefr

RR 00-14 MUHAMMAD W RIX H MESTE O LIEBERT A

ldquoModeacutelisation du Test drsquoOcclusion en Doppler-Laserrdquo Rapport de Recherche ndeg I3SRR--2000-14--FR Deacutecembre 2000 7 pages

RR 00-15 MUHAMMAD W MESTE O RIX H

ldquoComparison of Single and Multiple Time delay Estimators Application to Muscle Fiber Conduction Velocity Estimationrdquo Research Report I3SRR-2000-15--FR December 2000 30 pages

RR 01-01 MIRBEL I DE RIVIEgraveRES V

ldquoUML ad-hoc une deacutemarche modulable drsquoanalyserdquo Rapport de Recherche I3SRR-2001-01--FR Janvier 2001

RR 01-02 FARREacute J FORTES GALVEZ J

ldquoBounded-Connect Noncanonical Discriminating-Reverse Parsingrdquo Research Report I3SRR--2001-02--FR March 2001

RR 01-03 FORTEgraveS GALVEZ J FARREacute J

ldquoGeneralized e-Skip Discriminating-Reverse Parsing on Graph-Structured Stackrdquo Research Report I3SRR--2001-03--FR March 2001

RR 01-04 CAPOUILLEZ A CRESCENZO P LAHIRE P

ldquoOFL lrsquoHyper-Geacuteneacutericiteacute au service du Meacuteta-Programmeur Application agrave Javardquo Rapport de Recherche I3SRR--2001-04--FR March 2001 12 pages

RR 01-05 MIRBEL I DE RIVIEgraveRES V

ldquoTowards a UML Profile for Building on Top of an Existing Applicationrdquo Research Report I3SRR--2001-05--FR March 2001

RR 01-06 CRESCENZO P

ldquoOFL les relations et descriptions drsquoEiffel et de Javardquo Rapport de Recherche I3SRR--2001-06--FR Avril 2001 24 pages

RR 01-07 CAPOUILLEZ A CRESCENZO P LAHIRE P

ldquoSeparation of Concerns in OFLrdquo Research Report I3SRR--2001-07--FR Avril 2001 9 pages

RR 01-08 FRANCISCI D

ldquoData Mining et Algorithmes Eacutevolutionnairesrdquo Rapport de Recherche I3SRR--2001-08--FR Mai 2001 46 pages

RR 01-09 FARREacute J FORTEgraveS GALVEZ J

ldquoBounded-Connect Noncanocical Discriminating-Reverse Parsingrdquo Research Report I3SRR--2001-09--FR March 2001 13 pages

RR 01-10 FORTEgraveS GALVEZ J FARREacute J

ldquoGeneralized e-Skip Discriminating-Reverse Parsing on Graph-Structured Stackrdquo Research Report I3SRR--2001-10--FR March 2001 9 pages

RR 01-11 MICHEL C RUEHER M LEBBAH Y

ldquoGraphical user Interfaces with Biglookrdquo Research Report ndeg I3SRR--2001-11--FR Septembre 2001 16 pages

LABORATOIRE I3S Les Algorithmes Euclide B ndash 2000 route des Lucioles ndash BP 121

06903 Sophia Antipolis Cedex ndash Teacutel (33) 492 942 701 ndash Teacuteleacutecopie (33) 492 942 898 httpwwwi3sunicefrI3SFR Pour tout renseignement srsquoadresser agrave Micheline Hagneacutereacute Teacutel (33) 492 942 704 ndash email mhi3sunicefr

RT 01-12 SERRANO M Ed

ldquoSCHEME 2001 - Workshop Proceedings - Second Workshop on Scheme and Functional Programming September 2 2001 Florence Italy Technical Report ndeg I3SRT--2001-12--FR Septembre 2001 73 pages

RR 01-13 GALLEacuteSIO E SERRANO M

ldquoGraphical user Interfaces with Biglookrdquo Research Report ndeg I3SRR--2001-13--FR Septembre 2001 38 pages

RR 01-14 JEHAN-BESSON S BARLAUD M AUBERT G

ldquoDREAM2S Deformable Regions driven by an Eulerian Accurate Minimization Method for image and video Segmentationrdquo Rapport de Recherche ndeg I3SRR--2001-14--FR Novembre 2001 38 pages

RR 01-15 COLLET P

Fiabiliteacute des systegravemes agrave objets persistants les assertions persistent Rapport de Recherche ndeg I3SRR--2001-15--FR Janvier 2001 16 pages

RR 01-16 COLLET P ldquoOn Contract Monitoring for the Verification of Component-Based Systems Rapport de Recherche ndeg I3SRR--2001-16--FR Octobre 2001 5 pages

RR 01-17 COLLET P ldquoFunctional and Non-Functional Contracts Support for Component-Oriented Programming Rapport de Recherche ndeg I3SRR--2001-17--FR Octobre 2001 3 pages

mh
I3SRR--2001-14--FR

httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf

Document seacutecuriseacute incorporeacute

Le fichier httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf est un document seacutecuriseacute incorporeacute dans le preacutesent document Cliquez deux fois sur le bouton pour lafficher

httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf [27062002 110813]

LABORATOIRE

INFORMATIQUE SIGNAUX ET SYSTEgraveMESDE SOPHIAANTIPOLIS

UMR 6070

DREAM2S DEFORMABLE REGIONS DRIVEN BY ANEULERIAN ACCURATE M INIMIZATION METHOD FOR

IMAGE AND VIDEO SEGMENTATION

Stephanie JEHAN-BESSON Michel BARLAUD Gilles AUBERT

Projet CREATIVE

RapportderechercheI3SRRndash2001-14ndashFR

novembre 2001

LABORATOIRE I3S LesAlgorithmes EuclideB ndash 2000routedesLuciolesndash BP 121ndash06903Sophia-Antipolis Cedex Francendash Teacutel (33) 492942701ndash Teacuteleacutecopie (33) 492942898

httpwwwi3sunicefrI3SFR

REacuteSUMEacute

MOTS CLEacuteS Contours actifsbaseacutes reacutegions optimisation de domaine segmentation non superviseacutee deacutetection de visage deacuteter-minant dela matricedecovariance

ABSTRACT Originally active contours wereboundary-basedmethods They weredriven towardstheedgesof animagefromtheminimization of a criterionwith only boundary-basedtermsThemainpurposeof region-basedactive contours is to maketheactivecontour evolveusinginformationontheregionsin addition to theclassicalboundary-basedinformation

We proposeherea generalEulerian framework for region-basedactive contours namedDREAM2SWe introducea generalcriterion includingbothregion-basedandboundary-basedtermswheretheinformationontheregionsis embeddedin afunctionnameddescriptor Theoriginality of thiswork is twofold Firstly weproposeto useshapeoptimization principlesto computetheevolution equationof theactivecontour thatwill makeit evolveasfastaspossibletowardsaminimumof thecriterionSecondlywe take into account thevariationof thedescriptors during thepropagationof thecurve Indeed a descriptor maybegloballyattachedto the region andthusregion-dependentIt happens whenstatisticalfeatures of a region like for example the meanor thevariance of a region areselectedasdescriptors We show that thedependenceof thedescriptors on the region inducesadditional termsin theevolution equationof theactive contour thathave not beenpreviously computed DREAM2S gives aneasyway to takesuchadependenceinto account andto computetheresultingadditional terms

Experimental resultspoint out the importanceof the additional termsto reacha true minimum of the criterion andso toconverge on accurate results The covariancematrix determinant appears to be a very relevant tool for homogeneous colorregionssegmentationAs anexample it hasbeensuccessfullyappliedto facedetectionin realvideosequences

KEY WORDS Region-basedactivecontoursshapeoptimizationunsupervisedsegmentationfacedetection covariancematrixdeterminant

13 $ amp()+$-0123(4-5766-398( 1 lt=98ampgt8BA(0)CD ampE()gt+F)-0-amp=$8B98amp

GBHBIJLKMNPOQRJTSPJUMNPOWV4XFJUYZY[]ONPO^`_aQcbdMeJUfgXNihfcNPj^kBlnmodpqldrsodtupwvyx z|~B9iZ]nn pqodUrvFLv ke~tRo|v n|L zio UtclF9~rRt o| tuBpwldi4v vld~cmldp ldZP=tRz|U~tR v p QsfcfRJUY iexcljcent=JLh HkBlnmodpqldrsodtupwvFpoundcurren0]yenamptsv nod$brvbarv 9BiZPampUsect9lpwTumll| pqodvnncopynordf tc4v-vwLvwlaquo Bpwldi4vnot ldm4v p r=shyldrreg~Utc4v p

macrdegWplusmn5sup25sup3Zacuteimicro|sup2|para7middotcedilsup1ordm|sup1raquo~frac14dfrac12frac12currenfrac34Liquestefrac14dAgrave Aacutesup1Acirc|Atilde(Agrave5Auml|raquoLAacuteAuml|AringcedilAElig$CcedilEgraveAtildecedilAtilde(EacutePAumldAring~raquoiEcircfrac14cedilwfrac34UEumlsEacuteifrac14AEligwAtildeEcircIacuteIgrave(AtildeAacuteIcircAumlUEcircAElig5IumlETHEgraveIcirc~Atilde frac34TCcedil=AtildecedilAtildeEcirccedilsup1AcircnAtilde5raquoNtildeAacuteAumlZCcedilEgravefrac14cedil4EcircAElig=AacuteIcirc~AtildegAtildeEcircordm|Atilde5AEligEgraveAumlOgravefrac14draquosup1Igravefrac14dordm|AtildegOgraveregcedilAumldIgraveOacuteAacuteIcircAtildeIgrave(sup1raquosup1Igrave(sup1Ocircfrac14ZAacutesup1Auml|raquo(AumldOgravefrac14yAgravecedilsup1currenAacuteAtildecedilsup1Auml|raquo(Ccedilgsup1currenAacuteIcircAuml|raquo~frac12currenfrac34EacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircOtildeAacuteAtildecedilIgrave(AElig5IumlETHEgraveIcirc~Atilde(Igravefrac14sup1raquotimesOuml~AringcedilOumlPAuml|AEligwAtildeAumlOgraveEgravecedilAtilde5ordmdsup1AumldraquoEumlsEacuteifrac14AEligwAtildeEcircOslashfrac14dAgrave Aacutesup1Acirc|AtildeAgrave5Auml|raquoLAacuteAumldAringcedilAEligysup1AEligyAacuteAumliexclAacuteAumlIgravefrac14dUgravenAtilde9AacuteIcirc~Atildefrac14dAgraveAacutesup1AcircnAtilde$Agrave5AumldraquoLAacuteAuml|AringcedilgAtildeAcircnAuml|frac12AcircnAtildeampAringAEligwsup1raquo~ordmFsup1raquoOgraveuAumldcedilIgravefrac14ZAacutesup1Auml|raquoUacuteAumldraquoiexclAacuteIcirc~AtildecedilAtilde5ordm|sup1Auml|raquoAElig5iquestisup1raquoUacutefrac14dEcirc~Ecircsup1Aacutesup1AumldraquoiexclAacuteAumlNtildeAacuteIcircAtildeAgrave5frac12frac14dAEligwAEligwsup1Agravefrac14frac12WEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircsup1raquoOgraveregAumldcedilIgravefrac14Aacutesup1AumldraquoIuml

Ucirc Atilde$OumlcedilAumldOumlPAuml|AEligwAtildeyIcirc~Atilde cedilAtildeyfrac14ordm|Atilde5raquoAtildecedil4frac14dfrac12BUumlAringfrac12Atilde cedilsup1Yacutefrac14raquoUacuteOgraveregcedil4frac14Igrave(AtildeCcedilEgraveAumlcedilUgraveiexclOgraveuAumlcedilcedilAtildeordm|sup1Auml|raquoEumlEacute~frac14dAEligwAtildeEcircOtildefrac14AgraveAacutesup1AcircnAtildeyAgrave5Auml|raquoLAacuteAumldAringcedilAEligraquoifrac14Igrave(AtildeEcircIacuteTHORNampszligUumlagraveampaacuteOtildeacirc5atildePIuml Ucirc Atilde(sup1raquoLAacutewcedilAumlUEcircAringAgrave5Atildefrac14aumlordmdAtilde5raquo~Atilde cedil4frac14dfrac12EgraveAgravecedilsup1currenAacuteAtildecedilsup1Aumldraquoiquestesup1raquo~Agravefrac12Aring~Ecircsup1raquo~ordmaumlEacutePAumlAacuteIcirctimescedilAtilde5ordm|sup1AumldraquoEumlsEacuteifrac14AEligwAtildeEcircfrac14draquo~EcirctimesEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircTAacuteAtildecedilIgrave(AElig5iquestBCcedilgIcircAtildecedilAtildeAacuteIcircAtilde(sup1raquoOgraveuAumlcedilIgravefrac14Aacutesup1Auml|raquoaringAumldraquoaeligAacuteIcirc~Atilde(cedilAtilde5ordm|sup1Aumldraquo~AEligFsup1AEligNtildeAtilde5IgraveFEacutePAtildeEcircEcircAtildeEcircTsup1raquofrac14OgraveregAring~raquo~Agrave Aacutesup1AumldraquoIacuteraquo~frac14dIgrave(AtildeEcircccedilqEcircAtilde5AEligwAgravecedilsup1OumlAacuteAumlcedilegraveIumlBETHEgraveIcirc~AtildeAumlcedilsup1ordm|sup1raquoifrac14frac12sup1currenAacutefrac34aeligAumldOgrave-AacuteIcirc~sup1AEligampCcedilEgraveAumlcedilUgraveaumlsup1AEligampAacuteCcedilEgraveAumlOgraveuAuml|frac12Ecirc]IumlWeacuteWsup1currencedilAEligqAacutefrac12currenfrac34LiquestCcedil=AtildeOumlcedilAumldOumlPAuml|AEligwAtildeyAacuteAumlAringAEligwAtildeNtildeAEligwIcirc~frac14dOumlPAtilde0Auml|OumlAacutesup1Igrave(sup1Ocircfrac14ZAacutesup1Auml|raquoaumlOumlcedilsup1raquo~Agravesup1Oumlfrac12Atilde5AEligAacuteAumlAgrave5AumldIgrave(Ouml~AringAacuteAtildeampAacuteIcircAtildeNtildeAtildeAcircnAuml|frac12AringAacutesup1AumldraquoTAtilde5ecircUAring~frac14Aacutesup1Auml|raquoOtildeAumlOgraveAacuteIcirc~Atilde9frac14dAgrave Aacutesup1Acirc|AtildeAgrave5AumldraquoLAacuteAuml|AringcedilAacuteIcircifrac14ZAacute=Ccedilgsup1frac12frac12PIgravefrac14dUgravenAtildegsup1currenAacute-Atilde5AcircnAuml|frac12AcircnAtildefrac14dAEligOgraveRfrac14AEligqAacutegfrac14dAElig-OumlPAuml|AEligwAEligwsup1Eacute~frac12AtildeAacuteAumlCcedilEgravefrac14cedil4EcircAEligEgravefrac14yIgrave(sup1raquosup1IgraveNtildeAring~IgraveeumlAumlOgraveAacuteIcirc~AtildeAgravecedilsup1currenAacuteAtildecedilsup1Auml|raquoIumliatildeAtildeAgrave5Auml|raquo~Ecircfrac12currenfrac34LiquestLCcedilEgraveAtildeampAacute4frac14UgravenAtildesup1raquoLAacuteAumlfrac14Agrave5Agrave5Auml|AringraquoLAacuteAacuteIcirc~AtildeampAcircdfrac14cedilsup1frac14Aacutesup1AumldraquoAumldOgraveBAacuteIcirc~Atilde$EcircAtilde5AEligwAgravecedilsup1OumlAacuteAumlcedilAEliggEcircAringcedilsup1raquoordmAacuteIcirc~Atilde$OumlcedilAuml|Oumlifrac14ordmnfrac14ZAacutesup1AumldraquoaumlAumldOgraveAacuteIcirc~AtildeyAgrave5AringcedilAcircnAtilde|IumligraveiacuteraquoiEcircAtilde5AtildeEcirc]iquestPfrac14(EcircAtildeAEligwAgravecedilsup1OumlAacuteAumldcedilIgravefrac145frac34EacutePAtildeyordmdfrac12AumldEacuteifrac14frac12frac12currenfrac34aumlfrac14ZAacutewAacute4frac14dAgrave4Icirc~AtildeEcircAacuteAumlAacuteIcircAtildecedilAtilde5ordm|sup1AumldraquoFfrac14raquoiEcircAacuteIcircUAring~AElig5iquestPccedilscedilAtilde5ordm|sup1AumldraquoEumlEcircAtilde5OumlPAtilderaquoiEcircAtilderaquoUAacuteegraveIumlZigraveAacuteIcircifrac14Ouml~OumlPAtilde5raquoAEligCcedilgIcirc~Atilderaquo0AEligqAacute4frac14ZAacutesup1AEligqAacutesup1Agrave5frac14dfrac12LOgraveuAtildefrac14ZAacuteAringcedilAtilde5AEligBAumldOgrave~frac14gcedilAtilde5ordmdsup1Auml|raquoiquestfrac12sup1Ugrave|AtildeFOgraveuAumlcedilFAtildeicircfrac14Igrave(Ouml~frac12AtildeNtildeAacuteIcircAtilde(Igrave(Atildefrac14draquoTAumldcedilyAacuteIcirc~AtildeFAcirc|frac14Zcedilsup1Yacutefrac14raquo~Agrave5Atilde(AumlOgrave9frac14iexclcedilAtilde5ordmdsup1AumldraquoiquestBfrac14cedilAtilde(AEligwAtilde5frac12Atilde5Agrave AacuteAtildeEcircOslashfrac14dAElig0EcircAtildeAEligwAgravecedilsup1OumlAacuteAumldcedilAElig5IumlUcirc AtildeAEligwIcircAumlCcedilAacuteIcirc~frac14AacuteyAacuteIcirc~AtildeEcircAtilde5OumlPAtilde5raquoiEcircAtilde5raquo~AgraveAtilde(AumldOgraveAacuteIcirc~AtildeEcircAtilde5AEligwAgravecedilsup1OumlAacuteAumlcedilAEligNtildeAumldraquotimesAacuteIcirc~AtildecedilAtildeordm|sup1Auml|raquoOslashsup1raquoiEcircAring~Agrave5AtildeAEligNtildefrac14dEcirc~Ecircsup1Aacutesup1Aumldraquoifrac14dfrac12AacuteAtildecedilIgrave(AElig=sup1raquoAacuteIcirc~AtildeAtilde5AcircnAuml|frac12AringAacutesup1AumldraquoAtildeecircLAring~frac14Aacutesup1Auml|raquoAumldOgraveAacuteIcirc~Atildeampfrac14AgraveAacutesup1AcircnAtildeampAgrave5AumldraquoLAacuteAuml|Aringcedil=AacuteIcircifrac14AacuteEgraveIcircifrac14AcircnAtilderaquoAumldAacuteEacutePAtildeAtilde5raquoiexclOumlcedilAtilde5AcircUsup1Auml|Aring~AEligwfrac12currenfrac34Agrave5Auml|Igrave(OumlAringAacuteAtildeEcirc]IumlTHORNampszligUumlagraveampaacuteOtildeacircatildeIacuteordm|sup1AcircnAtilde5AEligFfrac14draquoaeligAtilde5frac14dAEligqfrac34aeligCcedilEgravefrac14frac34TAacuteAumlUacuteAacute4frac14dUgrave|AtildeAEligwAringAgrave Icircaeligfrac14OtildeEcircAtilde5OumlPAtilde5raquo~EcircAtilde5raquoAgrave5Atilde(sup1raquoLAacuteAumlaumlfrac14dAgrave5Agrave5AumldAring~raquoLAacutefrac14draquo~EcircAacuteAumlAgrave5AumldIgrave(Ouml~AringAacuteAtildeAacuteIcirc~AtildecedilAtilde5AEligwAring~frac12currenAacutesup1raquo~ordmfrac14dEcirc~Ecircsup1currenAacutesup1Auml|raquo~frac14dfrac12]AacuteAtildecedilIgrave(AElig5Iuml

UumlicircOumlPAtildecedilsup1Igrave(Atilde5raquoLAacute4frac14dfrac12LcedilAtilde5AEligwAringfrac12currenAacuteAElig-OumlPAumldsup1raquoLAacute-Auml|AringAacuteAacuteIcircAtildesup1Igrave(OumlPAumldcedilwAacute4frac14draquoAgrave5AtildeAumldOgravePAacuteIcircAtildegfrac14|EcircEcircsup1currenAacutesup1Auml|raquoifrac14frac12AacuteAtildecedilIgrave(AEligeAacuteAumlcedilAtilde5frac14dAgrave4Icircfrac14AacutewcedilAring~Atilde-Igrave(sup1raquosup1IgraveFAring~IgraveAumlOgraveiAacuteIcirc~Atilde-Agravecedilsup1currenAacuteAtildecedilsup1Auml|raquo(frac14raquoiEcircyAEligwAumlAacuteAumlAgraveAuml|raquoUAcircnAtildecedilordmdAtildeEgraveAuml|raquoNtildefrac14dAgrave5AgraveAringcedil4frac14AacuteAtildeEgravecedilAtildeAEligwAring~frac12currenAacuteAElig5IumldETHEgraveIcirc~AtildeEgraveAgrave5AumlZAcircdfrac14cedilsup1frac14draquoAgrave5AtildeIgravefrac14Aacutewcedilsup1currenicirc0EcircAtilde AacuteAtildecedilIgrave(sup1raquoifrac14draquoLAacutefrac14Ouml~OumlPAtildefrac14ZcedilAEligeAacuteAumlEacutePAtildefrac14Acirc|Atildecedilwfrac34$cedilAtilde5frac12Atilde5Acircdfrac14draquoLAacuteeAacuteAumlLAuml|frac12UOgraveuAumlcedil-IcircAuml|Igrave(Aumldordm|Atilde5raquoAtilde5Auml|AringAEligeAgrave5Auml|frac12AumldcedilcedilAtilde5ordmdsup1Aumldraquo~AEligAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquoIumlagrave9AEligampfrac14raquoIacuteAtildeicircfrac14Igrave(Ouml~frac12Atilde|iquestPsup1currenAacute$Icirc~frac14dAEligampEacutePAtilde5AtilderaquoIacuteAEligwAringAgrave5Agrave5Atilde5AEligwAEligqOgraveregAring~frac12frac12currenfrac34Tfrac14dOuml~Oumlfrac12sup1Atilde5EcircaumlAacuteAumlOgraveRfrac14Agrave5Atilde(EcircAtilde AacuteAtilde5AgraveAacutesup1Auml|raquoTsup1raquocedilAtildefrac14dfrac12AcircUsup1EcircAtilde5AumlAEligwAtilde5ecircUAringAtilde5raquo~AgraveAtilde5AElig5Iuml

iumlethUntildeograve0oacute sup3ocircWplusmn|otildeszligAtildeordm|sup1Auml|raquoEumlEacute~frac14dAEligwAtildeEcircaringfrac14AgraveAacutesup1AcircnAtildeiexclAgraveAuml|raquoLAacuteAuml|AringcedilAElig5iquestAEligwIcircifrac14dOumlPAtildeiexclAuml|OumlAacutesup1Igrave(sup1Ocircfrac14ZAacutesup1Auml|raquoiquestWAring~raquo~AEligwAringOumlPAtildecedilAcircUsup1AEligwAtildeEcircOslashAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoiquestUOgraveRfrac14dAgraveAtildeyEcircAtildeAacuteAtilde5Agrave Aacutesup1Aumldraquoiquest~Agrave5AumlZAcirc|frac14Zcedilsup1Yacutefrac14raquo~Agrave5Atilde$Igravefrac14ZAacutewcedilsup1currenicircEcircAtildeAacuteAtildecedilIgrave(sup1raquoifrac14raquoLAacuteIuml

Agraveoumloslashdividedugrave|ugraveUuacute 9v vwldpq4Uacute9vop r-g nncopy copyucirc x z|iB9aumlio UtclF9~rRt o| tug]pwldi v

uumlnyacute|thornLyuml13

$amp)(+-)013021+345627893lt=gt9A6CBDFEHGIKJLMONQPltRSJT2MgtI

b H QVUPJOslashbn[]O H []jhYOtildeNihZJaeligKEgrave[WFJLhYXiacutejf H [B[]fcY5Xiacute[PhUacuteQCZaringN[PJOslashNPO^UBQc^JL[YZJ[]ZOslashJUO H N H Qc[]OO^G QsObnJ H MeJ[PhQV[]QcONPf_WF[PhY` []O YZON`PJUYbacaumlNPYZYaJ H NPfd^VegfhSiSi]jeiexclNPO Jk H JUOYQVUPJhZJUYZJUNihbMMNPYaeligcent=JLJUO7KEgraveJLhYXiacute[PhlZOslashJU^ H MN H fRJUNP^Y H [B^Nm H [ H MJjYJ[SXon5hJ[]QR[]OWVcentNPYZJU^NPb H QVUPJTbn[]O H []jehYYp^q hQV[]QcONPfsfVmSeNPb H QVUPJ bn[]O H []jehdYWFJLhZJ centEgrave[]jO^NihYmVcentNPYJU^bZOslashJ H Me[W^Yoaq jecentEgraveJLh HNPO^rcOtilde[PhdOeKhZ[PcentY H e sSs fj^ G ON`PJUYtacaumlNPYZYaeligJ H NPfd^VeufhSiSi]jeycent-NPfcfR[B[]OYoa)v[]MeJUOOefhShfj[Phw[PJL[W^eJUYZQcbNPb H QVUPJbn[]O H []jehdYxa)vNPYZJUfcfRJUY J H NPfd^VeyfhSh]zSj`NihZJOacute^hQVUPJUOH [WFNih^Y H MeJ JU^[PJUY [SXOtildeNPOQZaringN[PJS^|MeJ JUP[]fcj H QR[]OJjN H Qc[]O QcYOslashbn[]ZOslashK-j H JU^XiacutehZ[]ZNaumlbnhQ H JLhQR[]O H MN H []OfVmtimesQsObLfcj^eJUYNaumlfR[WbLNPfQcOFX[PhlZ N H QR[]Otimes[]O H MeJ(centEgrave[]jO^NihYm[SX H MeJauml[Pcent~JUb HH [ YZJ[]ZOslashJUO H ^MeJt`PJmQc^eJUNOacute[SXOtildehZJ[]QR[]OWVcent-NPYJU^ NPb H QVUPJeumlbn[]O H []jehYehY H fVmKh[PK=[]YZJU^ centma)vF[]MJUOTJ H NPfd^VefhShS[]OXqNih^OefhShje]QsY H [OtildeQcO H hZ[B^jbnJ0N_[]fR[PcentNPfBQcOXiacute[PhlZaringN H QR[]O[]O H MeJIacute^QV=JLhZJUO H hZJ[]Qc[]OY H [ YJ[]ZOslashJUO H QcOaNP^^Q H QR[]O H [ H MeJIacutecent=[]jO^NihYmVcentNPYJU^QcOFX[PhlZ N H QR[]OOe H [_ZaringN`PJ H MeJNtildeNPb H QUPJNtildebn[]O H []jehJUP[]fUPJS^iexcl[WFJUPJLhePQ H QcYgO[ H9H hQVUWQcNPfH [timesbn[]ZOslashKj H J H MeJJUP[]fcj H QR[]OaringJBjN H QR[]O [SX H MeJiexclNPb H QVUPJUacutebn[]O H []jeh H MN H WQcfsfZaringN`PJQ H JUP[]fUPJ H [WFNih^Y0NyZ QcOQZtimesjFZ[SXNTbnhQ H JLhdQR[]OOslashQcObLfcj^QcO[centEgrave[ H MOslashhZJ[]QR[]OWVcent-NPYJU^NPO^centEgrave[]jO^NihYmVcentNPYJU^ H JLhlZaringY^JUbnJUO H fmSeZaringNPOm KNiKEgraveJLhY MNUPJeumlNP^^ehZJUYYJU^ H MQsYOslashKhZ[PcentfcJZ^0 hZJUWQRJW [SXH MeJUYZJrZaringJ H Me[B^Y QsY`KhZ[PKEgrave[]YJU^1QcO G JUb^ ^ G []ZOslashJ[SX H MeJUYZJxWF[PhY`WY^e[ Oe[ Hbn[]ZOslashK-j H J H MeJ H MeJL[PhZJ H QcbLNPfJkWKhZJUYZYZQc[]O[SX H MeJUPJUfR[BbLQ H mUPJUb H [PhOtilde[SX H MeJtimesNPb H QVUPJbn[]O H []jehcentj H H MeJm bdMe[[]YZJ H MeJ ^QcYKfcNPbnJZaringJUO H H MN H WQcfcf_ZaringN`PJ H MeJbnhQ H JnVhQc[]O ^JUbnhZJUNPYJa)vMN`hNicentEgrave[Ph H m J H NPf)^VefhShSvMeJUYONPj^ J H NPfd^VefhShSh]j^ qH MeJLhWF[PhY`WYKh[PK=[]YZJ H MeJIacutebn[]ZaringKj H N H QR[]O`[SX H MeJUPJUfR[BbLQ H mUPJUb H [PhOtildecentm hZJU^jbLQcOF[ H MeJWM[]fRJOacuteKh[PcentfRJZ H [ centEgrave[]jO^NihYm QcO H J[PhdNPfcYxa)MjNPO^0jQcfcfcJSeyfhShSgampNihN~V[]QR[]Y`NPO^JLhQsbMeJSefhShSh]j[Ph`centm jYQcO[ H MeJ7fRJUPJUfTYJ H ZOslashJ H Me[W^a G NSZ Y[]OJ H NPf)^Ve sSsSs Ov(MNPONPO^$JUYZJSe sSs fj^OMeJm H MeJUOjYZJ H MeJyNtildejfRJLhVAN[PhNPO[PJJBjN H QR[]OY H [ bn[]ZOslashKj H J H MJaumlJUP[]fcj H QR[]OJjN H Qc[]OO^iexcl[WFJUPJLhe H MeJOtildeQcOXiacute[PhlZaringN H QR[]O []O H MeJauml^Q=JLhJUO H hZJ[]QR[]OYe H MN H WNtildeJaumlbLNPfsfMeJLhZJn^eJUYbnhQRK H [Phlp [SX H MeJIacutebn[PhhZJUYKEgrave[]O^QcOF[aringhZJ[]QR[]OOeKZaringNmacent=Jy[]fR[PcentNPfcfVm N HH NPbdMeJU^ H [H MeJ(hJ[]QR[]OO^S5O^eJLJU^OslashQ H [WbLbLjehYXiacute[Ph0Y H N H QcY H QcbLNPf^eJUYZbnhdQRK H [PhYampYZjbdMaringNPY H MeJ_ZOslashJUNPOOeH MeJUiNihQcNPObnJ[Ph H MJMQcY H [S[PhNSZ [SX H MeJ hZJ[]QR[]O^Q5O bLNPYJ [SXUacutejOYZjK=JLhlUBQcYZJU^YJ[]ZaringJUO H N H QR[]Oe H MeJUYZJ ^eJUYZbnhdQRK H [PhYIacuteNihZJ hZJnVJUiNPfcjN H JU^JUNPbM H QZaringJ H MeJ NPb H QVUPJbn[]O H []jehJUP[]fVUPJUYiexclNPO^aY[ H MeJmU~Nihlm^jehQcO[ H MeJIacuteKhZ[PKN[]N H Qc[]O[SX H MeJtimesNPb H QVUPJbn[]O H []jeh^yhZJUWQR[]jYWF[PhY`BYIacute[]O7hZJ[]QR[]OWVcent-NPYJU^NPb H QUPJbn[]O H []jehYaelig^e[eumlOe[ HIacuteH N`PJQcO H [ NPbLbn[]jO HaumlH MQcYKEgrave[]YZYZQRcent-fRJyUiNihQcN H QR[]Oeuml[SX H MeJaring^eJUYbnhQRK H [PhY H [bn[]ZOslashK-j H J H MeJJUP[]fcj H QR[]OJjN H QR[]O[SX H MeJTNPb H QVUPJIacutebn[]O H []jeh^ JTKhZ[PKEgrave[]YJaumlMeJLhZJaumlN[PJUOeJLhNPfNtildejfRJLhQcNPOoXiacutehNSZOslashJWF[PhY`X[PhhZJ[]QR[]OWVcentNPYZJU^NPb|V

H QVUPJbn[]O H []jehY`ONSZOslashJU^ iexcl_0 Uacute_wcent G aiexclJXiacute[PhlZaringNicent-fRJpoundJ[]QR[]OYa^ehQUPJUO centm NPONtildejfRJLhQcNPO iexclbLbLjhN H JT_aQsOQZaringQVcurrenUN H Qc[]O _aJ H Me[W^X[Ph G J[]ZOslashJUO H N H QR[]Ogtj^gtMeJiexclZaringNPQcObn[]O H hQRcentj H QR[]O[SXy[]jh_WF[PhY`aQcY H [centjQcfs^ N H MJL[PhZJ H QcbLNPfQXhdNSZOslashJWNtilde[Phl`centNPYJU^`[]O

uumlnyacute|thornLyuml13

yenKbrvbarsect =4 acirc $ YZMNiK=JT[PK H QZaringQVcurrenUN H Qc[]OKhQsObLQRKfRJUY^ Q H M YZjbM`NPO`NiKKhZ[]NPbMegtWFJIacutebLNPO hZJUNP^QsfVmH N`PJ7QcO H [ NPbLbn[]jO H`H MeJpoundUiNihQcN H QR[]O [SX H MJOacute^eJUYZbnhQcK H [PhY H MN H NihJpound[]fR[PcentNPfcfmN HH NPbdMeJU^ H [ H MeJUacuteJUP[]fVUWQcO[timeshZJ[]QR[]OYgaqbLNPfsfRJU^ hZJ[]QR[]OWV4^eJLKEgraveJUO^JUO H ^eJUYZbnhQcK H [PhYj^ JOtildeYZMe[W H MN HH MeJiexclU~NihQsN H QR[]O [SX9hZJ[]QR[]OWV4^eJLKEgraveJUO^JUO H ^eJUYZbnhQcK H [PhYF^jehQcOF[ H MeJJUP[]fcj H QR[]OOtilde[SX H MeJ0NPb H QUPJFbn[]O H []jehampQcO^jbnJUY9NP^^Q H QR[]ONPf H JLhlZaringY9QsO H MeJyJUP[]fcj H QR[]OJBjN H QR[]Oeuml[SX H MeJOslashNPb H QVUPJ bn[]O H []jeh^MeJUYZJaeligNP^^Q H QR[]ONPf H JLhlZaringYOtildeMNUPJaringOe[ H centEgraveJLJUOKhJUBQR[]jYZfVm bn[]ZOslashK-j H JU^uml^

G []ZOslashJNtildeJkeNSZOslashKfcJUY[SX-jOYZjeKEgraveJLhYUWQcYJU^TYKN H QcNPfBYJ[]ZOslashJUO H N H QR[]OOePjYZQsO[ H MeJcopyUiNihQuVNPObnJ [SX H MJOslashhZJ[]QR[]OYe9KhZ[UPJ H MeJ QZOslashKEgrave[Ph H NPObnJOslash[SX H MeJ NP^^Q H QR[]ONPf H JLhlZaringYordfXiacute[PhH MeJ(NPbLbLjehdNPbmIacute[SX=YJ[]ZOslashJUO H N H QR[]OOslashhZJUYZjf H Y^MeJNP^^Q H QR[]ONPf H JLhlZ YZIacutejY H O[ H centEgraveJXiacute[PhY[P[ HH JUO QcO [Ph^eJLh H [laquo[PJ HH MeJ_XqNPY H JUY H NPb H QUPJUacutebn[]O H []jeh(JUP[]fcj H QR[]O H [WNih^Y(NZaringQsOQZtimesjFZoslash[SX H MeJaumlbnhdQ H JLhQR[]OO^not QcONPfcfVmSe H MeJbn[UiNihQcNPObnJbZ N H hQk ^eJ H JLhZaringQcONPO H NiKKEgraveJUNihY H [ cent=JNrUPJLhYmhZJUfcJU~NPO HH [B[]fOX[PhMe[]ZOslash[S[PJUOeJL[]jYbn[]fR[PhiexclhZJ[]QR[]OYYZJ[]ZOslashJUO H N H Qc[]OO^gtMQcY H [[]fQcYYZjbLbnJUYZYXqjfcfVm NiKKfcQRJU^ H [XqNPbnJIacute^eJ H JUb H Qc[]O []OhZJUNPfUBQc^JL[aringYJjJUObnJUY^MeJa^eJ H NPQcfcJU^ [UPJLhYUBQcJW []O hZJ[]QR[]OeVcentNPYJU^ NiKKhZ[]NPbMJUY QsYaringKhZ[PKEgrave[]YJU^ QcOG JUb^ eshyWMQcfRJOslash[]jeh0jfRJLhdQcNPOumlXiacutehNSZOslashJWF[PhY`uml5_0 Uacute_ cent G QcYauml^JUYZbnhQRcentEgraveJU^QcO G JUb^^MQcY|XhdNSZOslashJWNtilde[Phl` QcY H MeJUONiKKfcQRJU^ H [ H MJjOYZjeKEgraveJLhYUWQcYJU^aringYJ[]ZaringJUO H N H QR[]O[SXMe[]Zaring[S[PJUOeJL[]jYIacutehZJ[]QR[]OYIacutejYZQcO[ H MJregUiNihQcNPObnJ QsO G JUb^lt`NPO^ H MeJ bn[U~NihQsNPObnJZaringN H hdQk ^eJ H JLhZaringQcONPO H QcO G JUb^gtmacr^

degEplusmnyLMgtsup2Qsup32acutemicromiddotparaJcedilJacutemicrosup1acuteIKJordmcedilIltN paraJcedilJacutewMraquo Jfrac14ltacutefrac34frac12oLJMgtIiquest acuteAgravegtT2MgtIAacutelAcirclaquocedilFAtildeacuteNAumlfrac12R]JT13Aringgtacutesup1AEligMgtIKJMgtPltLAtildeJUbnJUO H fVmSeZaringNPOmNPj H Me[PhdYtimesMNUPJKhZ[PKEgrave[]YJU^NwWNm[SXNP^^QcOF[hZJ[]QR[]OWVcent-NPYJU^H JLhlZ YQcO H MJTJUP[]fcj H Qc[]O JjN H QR[]Ow[P[UPJLhOQcOF[ NPb H QVUPJtimesbn[]O H []jehdY Xiacute[PhiexclYJ[]ZaringJUOWVH N H QR[]O QsYZYZjeJUY^QMeJ KhZ[PcentfcJZ Y H N H JZaringJUO H QsYhY H KhZJUYJUO H JU^NPO^ H MeJUO H MeJY H N H JnV[SXV H MeJnV4Nih H QcY^J H NPQcfRJU^O^ ^f^bCcedil_EgraveKEacuteltEcircgtEumlIgraveFIacuteIumlIcircETHOgraveNtildeFETHIgraveFIacute5IgraveFOacuteETHiexclJLhZJSeOcircWFJa^eJUYZbnhdQRcentEgraveJ H MJ JjN H Qc[]OYaringNP^^ehJUYZYZQcO[ H MeJ`QcYZYZjeJ[SX H MeJYJ[]ZaringJUOWVH N H QR[]O[SX NPOQCZaringN[PJxOtilde QsO H WNtilde[ hZJ[]Qc[]OY^iexclgJ H jYeuml^eJOeJrOumlcopytimesOslash H MeJhJ[]QR[]Obn[]O H NPQcOQcOF[ H MeJ[Pcent~5JUb H Y H [YZJ[]ZOslashJUO H NPO^ OumluUgraveUcircUacuteUuml H MeJeumlcentNPbY`[PhZ[]jO^ hJ[]QR[]OO^MJUQRhFbn[]ZregZOslash[]O centEgrave[]jO^NihlmaringQcY(Oe[ H JU^YacuteOcirc^F9J H jY(bn[]OYZQc^JLhNPOaNPb H QVUPJaumlbn[]O H []jhYacuteadTHORN]szligYagravejaacuteacirca2atildeadTHORN]szligYagravejszligaumlOadTHORNOgraveszligYagravejje]WMeJLhZJuTHORNuZaringNmTcentEgraveJ H MeJ(NihbNtildefcJUO[ H Mtimes[SX H MeJbn[]O H []jhNPO^umlagraveQsYOtildeNPOJUP[]fcj H QR[]OeumlK-NihNSZOslashJ H JLh^shyMeJOslashNPb H QVUPJ bn[]O H []jehIacuteNiKKhZ[]NPbMpoundZ N`PJUYYacuteadTHORN]szligYagravejJUP[]fVUPJ H MehZ[]j[]M H MeJ|Xiacute[]fcfR[WQcO[K-Nih H QcNPf^Q=JLhJUO H QcNPf]JjN H Qc[]Ooa5copyjaringaelig YacuteadTHORNOgraveszligYagravejaelig agrave aacuteegraveccedilyeacuteecircaacuteegraveeuml WQ H MigraveYacuteaagraveregaacute s j|aacuteegraveYacuteshyiacute afjWMJLhZJfrac34YacuteltiacuteaQcY NPO QsOQ H QcNPfbLjhYUPJ ^JOeJU^centm H MeJeumljYJLhNPO^egraveeacute H MeJ QsOOgraveWNih^Oe[PhZaringNPfUPJUb H [PhOtilde[SX|YacuteadTHORN]szligYagravej^MeJUPJUfR[WbLQ H mfrac34ccedil QcY^eJLhQUPJU^wXiacutehZ[]Z NZaringQsOQZaringQVcurrenUQsO[

uumlnyacute|thornLyuml13 2

$amp)(+-)013021+345627893lt=gt9A6CBbnhQ H JLhQR[]O NPO^ QsY bdMe[]YJUO Y[ H MN H H MeJ YZ[]fcj H QR[]OicircYacuteaUcirciumlVszligYagravej bn[]OUPJLhY[PJUY H [ H MeJ[Pcent~JUb H centEgrave[]jO^NihYmSeYacuteaUcirciumlethjeNPY_agraveregntildeoacuteograveicirc^5ObLfcNPYYZQcbLNPfcentEgrave[]jO^NihYmVcent-NPYJU^ZOslashJ H Me[W^Ya)v(NPYJUfcfRJUY(J H NPfd^VeshyfhSh]zg_`NPfcfcNP^QJ H NPfd^VelaquofhShSmacr]je H MeJsup1UPJUfc[BbLQ H m XqjOb H QR[]OHccedil QsY`^eJLhdQVUPJU^XiacutehZ[]ZCNPOJUOeJLhY[Smacircocirc^eJLKEgraveJUO^QcO[T[]O H MeJOtildecentEgrave[]jO^NihlmYacuteOcircaring

ocircOgraveotilde UgraveUacute OslashoumlYdivideloslashugrave aYacuteQj|aacute uacuteucircyacuteuumlgtthorn otilde)yuml THORN a jWMJLhZJ_uuml thorn otilde)yuml QcYNtildeNyXqjOb H Qc[]O ^eJUYZbnhdQRcentQcO[ H MeJiexclcentEgrave[]jO^NihYmtimes[SX H MeJiexcl[Pcent~JUb H ^vNPYZJUfcfRJUYJ H NPf_a)vNPYJUfsfRJUYaumlJ H NPfd^VefhSh]zSjIacutebM[[]YJ H MeJregXqjOb H Qc[]Obuuml thorn otilde)yuml aacuteKa ordmOtilde jyWMeJLhZJtaring s szliggograve8ntilde Otilde 13 QcYiexclN Y H hdQcb H fVm ^eJUbnhZJUNPYZQsO[XqjOb H Qc[]OaY[ H MN H a]juntilde s NPYgntildeoacuteograveicirc^SMeJFbn[]ZOslashKj H N H Qc[]OIacute[SX H MeJUPJUfc[BbLQ H mccedilicircXiacutehZ[]Z H MJFbnhQ H JLhQR[]Oa j9QsYOe[WWFJUfcfO`WOe[WiexclOsup1a)vNPYJUfsfRJUYJ H NPfd^VeltfhSh]zSjiexclNPO^`fRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[OslashJUP[]fcj H QR[]OJBjN H QR[]OOaring aelig Yacuteaelig agrave aacuteFuuml thorn otilde)yuml uuml thorn otilde)yuml eacute13eacute ad]jWMJLhZJ QcY H MeJaumlbLjehYUiN H jehZJOtilde[SXYacuteaagravej^iexcl[WFJUPJLhecent=[ H MaringhZJ[]QR[]OYOcircOumlcopytimesOslashtimesNPO^Ouml UgraveUcircUacuteUuml ZaringNmtimesMNUPJiexcl^QV=JLhZJUO H KhZ[PKEgraveJLh H QRJUYamp[SXH Jk H jehZJSeiMe[]ZOslash[S[PJUOeJUQ H mtimes[PhZaring[ H QR[]O H MN H bLNPOOe[ H cent=JQcObLfsj^eJU^aumlQcO H MeJXiacutejOb H QR[]Ouuml thorn otilde)yuml ^ G [ H MeJoZaringNPQcOOacuteKjehZKEgrave[]YJaring[SX(hJ[]QR[]OWVcentNPYJU^7NiKKh[]NPbMeJUYaeligQcY H [ QcO H hZ[W^jbnJYZjbM Nx[]fR[PcentNPfUacuteQcOXiacute[PhlZaringN H QR[]O QcO H MeJ UPJUfR[WbLQ H m XiacutejOb H QR[]Oicircccedil QcO NP^^Q H QR[]O H [H MeJeumlfR[WbLNPfiexclQsOX[PhZaringN H QR[]OKhZ[UWQc^eJU^ centm cent=[]jO^NihYmVcentNPYJU^ H JLhlZaringY^copyMeJZaringNPQcOBjeJUY H QR[]OeiQsOIacute[Phd^eJLh H [~jY H QVX2m H MeJQcO H hZ[W^jb H QR[]OIacute[SX H MJUYJ(hZJ[]QR[]O H JLhlZ Ye]QcY H [^eJLhdQVUPJ H MeJuUPJUfR[WbLQ H mlaquoXqjOb H QR[]OlaquoXiacutehZ[]ZNPOOslashJUOeJLhl[SmS^Ograve9[IacuteYJ H Nordf[PJUOeJLhNPfFXhNSZaringJWNtilde[PhY`NPO^ H [Oslashbn[]ZOslashKNihZJ H MeJUacute^QEgraveJLhZJUO H NiKKhZ[]NPbMeJUYFKh[PK=[]YZJU^ QcO H MeJUacutefcQ H JLhN H jhZJSeWFJOe[W QcO H hZ[W^jbnJ Nw[PJUOeJLhNPfNtildebnhQ H JLhQR[]ObXh[]ZigraveWMQsbM H MeJUPJUfR[WbLQ H mpoundZaringN[]OQ H j^eJZaringNmcent=JOtilde^eJLhdQVUPJU^Oaring

ocircOcircadOumlutimes OslashgtszliglOuml UgraveUcircUacuteUuml szligYYacuteQjbaacute uumlgtthorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszliglOuml UgraveUcircUacuteUuml j atilde auml $ uumlgtthorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashFj atilde aumlamp uacuteucirc uumlgtthorn otilde)yuml a2atildeltszligaumlj THORN a2jWMJLhZJyuuml thorn UgraveUcircUacuteUuml yuml QcYONSZaringJU^ H MeJwn^JUYZbnhQRK H [PhpOslash[SX H MeJaumlcentNPbl`[PhZ[]jO^ hZJ[]QR[]Oegtuuml thorn timesOslash yumlH MeJsup1n^eJUYZbnhQRK H [Phlp[SX H MeJaring[Pcent~JUb H hZJ[]Qc[]ONPO^buuml thorn otilde)yuml H MeJsup1n^eJUYZbnhQRK H [Phlp [SX H MeJbn[]O H []jeh^MJOslashhZJ[]QR[]O^eJUYZbnhdQRK H [PhYordfZaringNm`centEgraveJlaquo[]fR[PcentNPfsfVm`N HH NPbdMeJU^ H [ H MJUQRhOtildehZJnVYKEgraveJUb H QVUPJOslashhJ[]QR[]OYeOumlcopytimesOslasha[PhOuml UgraveUcircUacuteUuml e9NPO^Y[^eJLKEgraveJUO^euml[]O H MeJZ aqQVXFY[e H MeJmNihZJbLNPfcfcJU^pihJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhYYpOgravej^ H MNiKK=JUOYshyWMJUOtimesY H N H QcY H QcbLNPfXiacuteJUN~VH jehJUYg[SXNhJ[]QR[]OTfcQ`PJSeXiacute[Ph9JkeNSZOslashKfRJSe H MeJZOslashJUNPOIacute[Ph H MJ|UiNihQcNPObnJSe~NihZJNtildeYJUfcJUb H JU^NPY(hJ[]QR[]O^eJUYZbnhdQRK H [PhY^MeJ`K-jehZKEgrave[]YJ [SXIacuteNPfcfhZJ[]QR[]OeVcentNPYJU^ NPb H QVUPJOacutebn[]O H []jehYwZOslashJ H Me[W^YQcY H MeJUOH [poundZaringN`PJ H MeJaNPb H QVUPJabn[]O H []jeh JUP[]fVUPJ H [WNih^Y NeumlKNih H Q H Qc[]O[SX H MeJ`QZaringN[PJSeadOumluUgraveUcircUacuteUumlszliglOuml timesOslash szligYYacuteQje H MN H ZaringQcOQZ QVcurrenLJUY H MeJTbnhQ H JLhdQR[]Opounda2j^

uumlnyacute|thornLyuml13 (

yenKbrvbarsect =4 acirc $ macr ^ ^)+ltIgraveFEgrave-+13IgraveigraveEacute10Igrave22IcircETH313Oacute4 EgraveOIgrave54EacuteshyOacute76EcircgtNtildeltIcircIgrave8 Iacute_IgraveETH39ltEacute8QIcircshyIcirclt2Oacute4Ntilde=KETH3gt+ltIgrave=EacuteshyOacuteshyETHEacute1EgraveIcirc MQcfRJiexclNPONPfVmWYZQcO[aumlhJ[]QR[]OWVcentNPYJU^ NPb H QVUPJUacutebn[]O H []jhYNiKKhZ[]NPbdMeJUYeWNtildeJ5ZaringNm bn[]OWVYZQs^eJLh H MehZJLJyZaringNPQsO QZOslashKEgrave[Ph H NPO H K=[]QsO H Yaring MN H NihJ H MeJT^QV=JLhZJUO H ^eJUYZbnhdQRK H [PhY(jYZJU^BA iexcl[WQcY^eJLhdQVUPJU^ H MeJaumlJUP[]fcj H QR[]O JBjN H QR[]OXiacutehZ[]Z H MeJaumlbnhdQ H JLhQR[]OCA iexcl[WQcYQZaringKfRJZOslashJUO H JU^ H MeJaumlNPb H QVUPJtimesbn[]O H []jehANtildeQR[]OeJLJLhcopyWF[PhY`BY(MNUPJaumlcentEgraveJLJUO KhZ[PKEgrave[]YJU^ centma)vF[]MeJUOJ H NPfd^VefhShSgt[]OXqNih^OefhShj^5ONPOJUNihdfVmpoundWF[PhY`gte|vF[]MJUOJ H NPfd^ua)vF[]MeJUO7J H NPfd^VeufhShS]jIacuteKhZJUYZJUO H NYZjhYXiacuteNPbnJ$hJUbn[]OY H hjb H Qc[]OgZOslashJ H Me[W^TjYQcO[hZJ[]QR[]OWVcent-NPYJU^aumlNPb H QVUPJFbn[]O H []jehdY^MJmbn[]ZOslashK-j H J H MeJUPJUfR[WbLQ H mpoundUPJUb H [Phaelig[SXNPO7NPb H QVUPJ bn[]O H []jhXiacutehZ[]Z H MeJZaringQsOQZaringQVcurrenUN~VH QR[]O[SXampNOslashbnhQ H JLhdQR[]OQcObLfcj^QcO[aumlhZJ[]Qc[]OWVcentNPYJU^ H JLhZaringY^ Oe[ H MeJLh(KQR[]OJLJLhuWNtilde[PhY`MNPYaumlcent=JLJUOK=JLhlX[PhlZaringJU^QcO a[]OXqNih^OeOcircfhShj^iexclJ NPYZYJUYZYZJUY H MN HTH MeJUPJUfR[WbLQ H mXqjOb H QR[]O YZMe[]jfc^aringcent=JKhZ[PKEgrave[Ph H QR[]ONPf H [ H MeJUacute^QEgraveJLhZJUObnJ[SXgY H N H QcY H QcbLNPfXJUN H jehJUYaringccedilaacute uuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml eOgraveWMJLhZJ_uuml thorn timesOslash yuml QsY0NaumlY H N H QsY H QcbLNPfKZOslash[B^JUfe[SX H MeJ[Pcent~JUb H hJ[]QR[]ONPO^tuuml thorn UgraveUcircUacuteUuml yuml N Y H N H QcY H QcbLNPfshyZOslash[B^JUfEgrave[SX H MJaumlcentNPbY`[PhZ[]jO^ hZJ[]QR[]OO^

G []ZOslashJaumlNiKKhZ[]NPbdMeJUY(Kh[PK=[]YZJ H [ bn[]ZOslashKj H J H MeJOtildeJUP[]fsj H QR[]OJBjN H QR[]O [SX H MeJNPb H QVUPJtimesbn[]O H []jhUacutejYZQcO[ H MeJ hZJLJUOWVAiexclQRJZaringNPOO H MeJL[PhZJZ NPO^wNtildejfRJLhVAN[PhNPO[PJJBjN H QR[]OY^OEgraveMBjeumlNPO^frac340jQcfcfcJoa)EgraveMBjNPO^frac340jQcfcfcJSeltfhShS]jKhJUYJUO H NY H N H QcY H QcbLNPfXiacutehNSZOslashJWF[PhY`poundXiacute[PhOslashQZaringN[PJYJ[]ZOslashJUO H N H QR[]OjYZQsO[aNPONPfV[P[PhQ H MZbLNPfsfRJU^n5hJ[]QR[]Obn[]ZOslashKEgraveJ H Q H Qc[]OFp^MeJm^eJLhQVUPJ H MeJeumlNPb H QVUPJbn[]O H []jehJUP[]fcj H QR[]O JBjN H QR[]O centmZaringQsOQZaringQVcurrenUQsO[aringNo[PJUOeJLhNPfcQVcurrenLJU^XNmPJUYDi_wiexcl bnhQ H JLhdQR[]O`QsOYKQRhJU^centm H MeJaring_`jFZaeligVXiacute[Ph^OacuteNPO^ G MNPMJUOeJLhY[Smicircaw_ajFZX[Ph^7NPO^ G MNPMOefhSiSh]j^OcircMeJmKhZ[PKEgrave[]YJ H MeJXiacute[]fcfR[WQcO[aelig^eJUYZbnhQcK H [PhYcopyXiacute[Ph H MeJaumlYJ[]ZaringJUO H N H QR[]O`[SXampY H QcfcfQZ N[PJUYaringEFG FH uuml thorn UgraveUcircUacuteUuml yuml aacute JILK NMregaOtildeKa2atildeshyszligaumlFjPORQ UgraveUcircUacuteUuml juuml thorn timesOslash yuml aacute JILK NMregaOtildeKa2atildeshyszligaumlFjPORQtimesOslashjuuml thorn otilde)yuml aacuteTS admacr]jWMJLhZJUMrega)j9QcY9NiexclKhZ[Pcent-NicentQcfcQ H m^JUOYZQ H m5XqjOb H Qc[]OOeQshytimesNihZJ H MJNtildeKNihdNSZOslashJ H JLhY[SX H MeJ^QsY H hQRcentj H QR[]OX[Ph H MeJaelighZJ[]Qc[]OBVNPO^CSQcYUacuteN KEgrave[]YZQ H QUPJIacutebn[]OY H NPO H ^ not [PhaumlQcfsfcjY H hN~VH QR[]OYe H MeJNPj H Me[PhdYybn[]OYZQc^JLh NPjYZYZQsNPOOslash^QcY H hQccentj H QR[]OYbMNihdNPb H JLhQVcurrenLJU^ centm H WF[KNihdNSZOslashJ H JLhYe H MeJZaringJUNPOIacuteNPO^ H MeJ|UiNihQcNPObnJS^ q ObnJ H MeJWQtimeskWJU^Oe H MeJ0JUP[]fcj H QR[]OJBjN H QR[]O[SXNPONPb H QVUPJ bn[]O H []jhaeligQsYIacutebn[]ZOslashK-j H JU^NPO^^QchZJUb H fVm^eJLhQUPJU^poundXiacutehZ[]ZH MeJbnhdQ H JLhQR[]OO^SMJbLfcNPYZYZQcbLNPfe^JLhQVUiN H QVUPJ([SX H MJ(cent=[]jO^NihYmVcentNPYJU^ H JLhlZ fRJUNP^YH [ H MeJtNtildejbLfcQc^QcNPOpound[PJL[]ZOslashJ H hdQcbMeJUN HYX [Wg^OcircMeJ ^eJLhdQVU~N H QUPJ [SXiexclhZJ[]QR[]OWVcent-NPYJU^H JLhlZ Y QcY H MJUOKEgraveJLhYXiacute[PhlZOslashJU^jYQcO[ H MeJ hZJLJUOWVAQcJZaringNPOO H MeJL[PhJZ NPO^ H MeJNtildejfRJLhVAN[PhNPO[PJaJBjN H QR[]OY^5O^eJLJU^e H MeJeumlbn[]ZOslashKj H N H Qc[]O [SX H MeJaJUP[]fcj H QR[]OJBjN H QR[]OQsYK=JLhlX[PhlZaringJU^ QcO H MehZJLJyZ NPQcO Y H JLKYaringf^Q9hNPOYX[PhZaringN H QR[]Oeuml[SX^e[]ZaringNPQcOQcO H J[PhNPfcYTQcO H [ centEgrave[]jO^NihYmaQcO H J[PhNPfcYTjYZQcO[

H MeJ hZJLJUOeVAQRJZaringNPOO H MeJL[PhZJZ^

uumlnyacute|thornLyuml13

$amp)(+-)013021+345627893lt=gt9A6CB ^vF[]ZOslashKj H N H Qc[]O [SX H MJy0jfcJLhVA9N[PhNPOF[PJOtildeJjN H Qc[]OY^ltO H hZ[W^jb H QR[]O[SXiexclNeuml^mWONSZaringQcbLNPfFYZbdMeJZOslashJ QcO H MeJ0jfRJLhZVA9N[PhNPO[PJ JBjN~V

H QR[]OYQcO [Ph^eJLh H [aeligbn[]ZaringKj H J H MeJ5UPJUfR[BbLQ H mregUPJUb H [Ph[SX H MeJOtildeNPb H QVUPJOtildebn[]O H []jh^MJ UPJUfR[WbLQ H mXiacutejOb H QR[]OoccedilQsY H MJUO bn[]ZaringKj H JU^NPO^Q H fcJUNP^Y H [ H MJ5Xiacute[]fcfR[WQcO[JUP[]fcj H QR[]OJjN H QR[]OOaring aelig Yacuteaelig agrave aacuteacircaduuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml S jeacute ad]jWMJLhZJ QsY H MeJ bLjehlU~N H jehJaring[SXuYacuteaagravej^5O[Ph^eJLh H [aQZOslashK-fRJZOslashJUO HOtildeH MQcYordf|iexcl eNN[PhNPO[]QcNPOXiacute[PhlZtimesjfcN H QR[]O QsY(jYJU^O^JUbnJUO H fmSeampNihN[]Qc[]YNPO^frac34JLhQcbdMeJaNihdN[]QR[]YOtildeNPO^iexclJLhdQcbMeJSefhShSh]jegMNUPJKh[PK=[]YZJU^ NPOJk H JUOYZQc[]O[SX H MeJordfWF[PhY` [SXOcircEgraveMBjNPO^o0jQcfcfcJcentm QZOslashKhZ[UWQcO[ H MeJ^eJUYbnhQRK H [Phaelig[SX H MJbn[]O H []jeh QcO7[Ph^eJLh H [QcObn[PhK=[PhdN H J H MJQCZaringN[PJ[PhNP^QRJUO HNPYiexclQcO[PJL[W^eJUYZQcbIacuteNPb H QVUPJtimesbn[]O H []jehY^gtMeJTJUP[]fcj H QR[]OaJjN H Qc[]OaQcYiexclQZOslashKfRJZaringJUO H JU^jYQcO[ H MeJ(fRJUPJUfBYJ H ZOslashJ H Me[W^aeligQcO H hZ[B^jbnJU^aumlcentm q YZMJLhNPO^ G J H MQcNPOoa q YZMeJLh$NPO^G J H MQcNPOOeltfhSiSi_aNPfcfsNP^Q9J H NPfd^VefhShSmacr G J H MQcNPOOeltfhShS]j^ UPJLhYm QcO H JLhJUY H QcO[KNih H [SX H MQsYyWF[PhY`Oacutebn[]ObnJLhdOY H MeJ QsO H hZ[W^jb H Qc[]O[SXY[]ZOslashJ^eJUYZbnhdQRK H [PhYlaquouuml thorn timesOslash yumlNPO^uuml thorn UgraveUcircUacuteUuml yuml X[PhNiKKfcQsbLN H QR[]OYfcQV`PJ H Jk H jehZJFYJ[]ZOslashJUO H N H QR[]OtimesNPO^gZOslash[UBQcOF[[Pcent~JUb H Y^eJ H JUb H Qc[]OO^

G []ZOslashJT[ H MeJLhUacuteNiKKh[]NPbMeJUYlaquoa)vMN`BhNicentEgrave[Ph H mJ H NPfd^VeltfhShSvMeJUYONPj^ J H NPfd^VefhShSh]j9KhZ[PKEgrave[]YJ H [OtildebMe[B[]YJ(N H JUNPbdMOslashY H JLK H MeJ^QcYKfsNPbnJZOslashJUO H [SX H MeJNPb H QVUPJ(bn[]OWVH []jeh H MN H ZaringN`PJUY H MeJybnhQ H JLhQc[]OOtilde^eJUbnhZJUNPYJS^SvMN`BhNicentEgrave[Ph H miexclJ H NPfd^a)vMN`hNicentEgrave[Ph H mJ H NPfd^VecopyfhShS]jtimesQcO H h[B^jbnJ N`hZJ[]QR[]OWVcentNPYZJU^7NiKKhZ[]NPbMxXiacute[Ph H MeJ YZJ[]ZOslashJUO H N H Qc[]O[SXQZOslashJU^QcbLNPfQZ N[PJUY^ iexclYQcOeKj H [SX H MJUQRhNPfV[P[PhQ H MZe H MeJm bn[]OYQc^eJLh(centEgrave[ H M H MeJNPb H jNPf9QZaringN[PJgOtilde NPO^ H MeJOtildehZJ[]QR[]OWV4bLfsNPYZYZQVJU^ QCZaringN[PJgOtildeoslash^FMeJOtildebLfcNPYZYZQVJU^ QZaringN[PJOtilde oslash QcYiexclbn[]ZOslashKj H JU^`centmwZaringNkeQZaringQVcurrenUQcOF[ H MeJTKEgrave[]Y H JLhQc[Ph^QsY H hQRcentj H QR[]O [SX H MeJThJ[]QR[]OfcNicentEgraveJUfcY[]QUPJUO H MeJQcO H JUOYZQ H maeligQZaringN[PJS^MeJUQRh0hZJ[]QR[]O H JLhlZ JUOXiacute[PhbnJUY H MJcentEgrave[]jO^WVNihYm H [JUObLfc[]YJaringNYZQcOF[]fRJaelighZJ[]QR[]OQcOumlOtildeoslash^MeJaring^JUYZbnhQRK H [PhdYOtildeNihZJ H MeJXiacute[]fcfR[WQcO[WQ H M H MeJauml^QEgraveJLhZJUObnJ H MN HH MeJmWFNPO HH [regZaringNkeQZaringQcurrenLJ H MJTbnhQ H JLhQc[]OocircaringEFG FH uuml thorn UgraveUacuteUuml yuml aacute[Z] Otilde oslash a2atildeltszligaumljuuml thorn times Oslash yuml aacute suuml thorn otilde)yuml aacute[Z cent Otilde_^Ogravea2atildeshyszligaumlFj a)zSjWMJLhZJ]Z NPO^`Z cent NihZJ H WNtilde[7KEgrave[]YZQ H QVUPJbn[]OY H NPO H YNPO^ Otilde_^aQcY H MeJfrac34[PhNP^QRJUO HQZ N[PJS^ KhQc[PhYMNiKEgraveJ H JLhZDQcY(NPfcY[OslashNP^^eJU^ H [ H MJaumlbnhQ H JLhQR[]OeWiexclMQcbMbLNPO centEgraveJQcO H JLhZJUY H QsO[gXiacute[PhZOslashJU^QcbLNPf-QCZaringN[]QcO[gWiexclMeJLhZJ H MJiexclON H jehJ[SX H MeJYZMNiKEgraveJiexcl^[JUYFOe[ HbdMNPO[PJNaumlfc[ H Xh[]Z2QcO^QUBQc^jNPf H [TQsO^QVUWQc^jNPf)^MeJUOeiNPYNtildeQcOwa)EgraveMBjaringNPO^ordm0jQcfcfRJSefhShS]je H MeJWMe[]fRJaumlKhZ[PcentfRJZ QsY(hZJU^jbnJU^ H [ bn[]ZaringKj H QcO[ cent=[]jO^NihYm QcO H J[PhdNPfcYH MNPOF`BY H [ H MeJ hZJLJUOWVAQcJZaringNPOO H MeJL[PhZJZte(hN H MeJLh H MNPO centEgrave[ H M centEgrave[]jO^NihYmNPO^ ^[]ZaringNPQcO QcO H J[PhNPfcY^yacuteMeJQZOslashKfRJZaringJUO H N H QR[]O [SX H MeJNPb H QVUPJ7bn[]O H []jhaQcOa)vMN`hNicentEgrave[Ph H mJ H NPfd^Ve fhShS]jaringQcYaring^e[]OeJacentmjYZQcOF[N not []jehQcJLharingKNihNSZOslashJ H JLhdQVcurrenUN~VH QR[]O^yacuteMeJJkWKhZJUYZYZQc[]O [SX H MeJumlUPJUfR[WbLQ H mAumlUPJUb H [Ph [SX H MeJOacuteNPb H QVUPJ7bn[]O H []jeh QcY

uumlnyacute|thornLyuml13 a

yenKbrvbarsect =4 acirc $ zOe[ H bn[]ZOslashKj H JU^OeNtildecentj HOslashH MeJ bnhQ H JLhQc[]OQcYaringQcO H hZ[W^jbnJU^NPO^ OBjFZOslashJLhQcbLNPfsfVmOacuteJUiNPfuVjN H JU^ QsO [Ph^eJLh H [ ZaringNkeQZaringQVcurrenLJQ H ^ JbLNPO Oe[ H J H MN HH MJeumlNPj H Me[PhYMNUPJKh[PK=[]YZJU^ NlaquoUPJLhYm QcO H JLhZJUY H QcO[aeligJk H JUOYZQR[]O [SX H MQcYWNtilde[Phl` jYQcO[ H MJ5[]NSZaringJ H MeJnV[PhYma)vMN`BhNicentEgrave[Ph H m NPO^jObLNPOOeOfhShSh]j^J[]Qc[]O NPO^ cent=[]jO^NihYmOslashbnhQ H JLhdQR[]OYNihZJYJLKNihdN H JU^OePcentj H JUNPbMaringbnhQ H JLhQR[]Otimesbn[]O H NPQcOY$NPOtimesQsO H JLhNPb H Qc[]OlaquoWQ H M H MeJ[ H MeJLh^ Y H MJ_[]NSZOslashJKhZ[S[PhJUYZYJUYeBcentEgrave[ H MZOslash[W^jfcJUYyQZOslashKh[UPJ H MeJUQRh0KEgrave[]YZQ H QR[]OY H MhZ[]j[]MZtimesj H jNPfQcOFX[PhlZ N H QR[]O YZMNihQsO[^

Oe[ H MeJLhIacuteYZQZaringQcfsNihUacuteNiKKhZ[]NPbMMNPYaumlcentEgraveJLJUOQcO H hZ[W^jbnJU^eumlcentmbvMeJUYZONPj^eumlJ H NPfd^a)vMJUYZONPj^ J H NPfd^VefhShSh]j^FMeJUQchNtilde^eJUYZbnhdQRK H [PhYFNihZJhZJnVJU~NPfsjN H JU^ JUNPbM H QZOslashJUacuteNKEgrave[]QcO H [SX H MJNPb H QVUPJbn[]O H []jehFJUP[]fVUPJUY0YZQsObnJ H MeJUQRh0^JUYZbnhQRK H [PhdY$NihZJY H N H QcY H QcbLNPfXiacuteJUN H jehZJUYOtilde[SX H MeJ QZaringN[PJordm[]fR[PcentNPfsfVm`N HH NPbdMeJU^ H [ H MeJOslashJUP[]fVUWQcO[ hZJ[]Qc[]OY^shyMJmbdMe[[]YZJ H MeJ`hNPO^e[]Z ^QcYKfsNPbnJZOslashJUO H [SXaumlNOacutebn[]OYZQs^eJLhZJU^ KEgrave[]QcO H [SX H MeJ NPb H QVUPJbn[]O H []jehOslashY[ H MN HIacuteH MJ bnhQ H JLhQR[]O7^eJUbnhZJUNPYJUY^$ _X H JLhaeligJUNPbdM ^QcYKfsNPbnJZOslashJUO H [SXNKEgrave[]QcO H [SX H MeJIacuteNPb H QVUPJIacutebn[]O H []jehe H MJT^eJUYZbnhQcK H [PhY(NihZJOtildehZJnV4bn[]ZaringKj H JU^O^

fcN H JLh NiKKhZ[]NPbdM MNPYaringcentEgraveJLJUOQcO H hZ[W^jbnJU^ centm G NSZaringY[]O J H NPfd^_a G NSZ Y[]OJ H NPfd^Ve sSsSs jyacuteXiacute[PhOtildebLfcNPYZYZQbLN H QR[]OaNPO^acentmvMNPO NPO^frac34$JUYJa)vMNPOeumlNPO^frac34$JUYJSesSs fjX[PhaYZJ[]ZOslashJUO H N H Qc[]O [SXaeligY H QcfcfOtildeQZ N[PJUY^yacuteMeJm KhZ[PKEgrave[]YJ H [JZIacutecentEgraveJU^ H MeJbnhQ H JLhQR[]O ^QRhZJUb H fVm`QcO H MJaeligfcJUPJUf$YJ H X[PhlZtimesjfcN H Qc[]OO^Ov(MNPOeumlNPO^$JUYJOslashKhZ[PKEgrave[]YJH MeJordfXiacute[]fcfR[WQcO[Oslash^eJUYbnhQRK H [PhYaringEFG FH uuml thorn UgraveUcircUacuteUuml yuml aacutecb7d Otilde e f centUhguuml thorn timesOslash yuml aacutecb cent Otilde e cent centuuml thorn otilde)yuml aacuteiS adi]jWQ H M e H MeJ NUPJLhN[PJ[SXgOtildeQcOicircOuml timesOslash e e cent H MJ`NUPJLhdN[PJ[SXgOtilde7QsO OumluUgraveUcircUacuteUuml^MeJUYJH WNtilde[ UiNPfcjeJUY NihZJhJnVJUY H QZaringN H JU^ ^jehQcO[ H MeJKhZ[PK-N[]N H QR[]O [SX H MeJbLjhYUPJNPYH MeJaelighZJ[]Qc[]OYJUP[]fVUPJS^shyMeJtimesKNihNSZaringJ H JLhYjb e1b cent egeumlNPO^kSNihJaringY[]ZOslashJaeligKEgrave[]YZQ H QVUPJbn[]OY H NPO H Y^iexclJLhZJ H MJ fRJUPJUfFYJ H ZOslashJ H Me[W^QsYIacute^QchZJUb H fVmjYJU^OacutecentmhJLKhZJUYJUO H QcO[H MeJtimesbLjehYUPJlaquoYacuteaagravejNPY H MeJycurrenLJLhZ[fRJUPJUfampYJ H [SXyNQRKYZbdMQ H currenTbn[]O H QcOBje[]jY_XiacutejOb H QR[]Ol a2atildeshyszligaumlKszligYagravej^]MeJfRJUPJUfWYJ H XiacutejOb H QR[]O l QcYQsO H hZ[W^jbnJU^timesQcO H MeJbnhQ H JLhQc[]OUWQcN H MeJiexclJUNUWQcYZQc^JyacuteXiacutejOb H QR[]Onmra l j^MeJbnhQ H JLhQR[]O QcY H MeJUOoZaringQcOQZaringQVcurrenLJU^WQ H M hZJUYKEgraveJUb HH [ l jYZQcO[OslashNaelighZJ[]jfcNihQVcurrenLJU^UPJLhYQR[]O[SX H MJyZaringQcOQCZaringQVcurrenUN H QR[]O KhZ[PcentfcJZ JIacuteOe[ H JMeJLhJ H MN HFH MeJJUP[]fcj H QR[]OaringJBjN H QR[]O QcY0^QRhZJUb H fVmtimesJkBKhZJUYZYJU^regWQ H M H MJiexclfRJUPJUf-YJ HXqjOb H QR[]O NPO^ Oe[ H WQ H M H MJTbLjehYUPJgYacute|^

G []ZOslashJ[ H MeJLhWNtilde[Phl`BYeBjYZQcOF[auml^QcY H hQccentj H QR[]O H MeJL[PhYmSeBMNUPJcentEgraveJLJUOaringKh[PK=[]YZJU^OslashcentmJLcenthZJUjFUPJaJ H NPf)^_aJLcenthZJUjUPJ J H NPfd^Ve sSs fjXiacute[PhZaringJU^QcbLNPfQCZaringN[]QcO[NPO^ centm 5ZaringNP^QRJUjJ H NPfd^shyaq _Z NP^QRJUj J H NPf)^VeshyfhShSh]jcopyXiacute[PhcentjQsfc^QcO[times^eJ H JUb H QR[]OO^not QcONPfcfVmSe~hZJ[]QR[]OWVcentNPYZJU^aringNPb H QVUPJbn[]O H []jehYNtildeNihZJNPfcY[OtildeKEgrave[WFJLhYXqjf H [[]fsYX[PhNtildebLfcNPY5VYZQbLN H QR[]Opounda13yJcurrencurrenUQJ H NPfd^VeshyfhShSh]j[Ph_ZOslash[ H Qc[]O^eJ H JUb H QR[]Oxaw_aNPOYZ[]jehQgNPO^wcOtilde[]OWVhNP^efhShSh]j^MeJZ N~5[PhOtildebn[]O H hQRcentj H Qc[]Oa[SXy[]jh5WF[PhY`aQsY H [KhZ[PKEgrave[]YJaeligNo[PJUOeJLhNPfQXiacutehNSZOslashJnVWF[PhY`X[PhaumlhJ[]QR[]OWVcentNPYJU^OacuteNPb H QVUPJ bn[]O H []jehY H N`BQcOF[QcO H [NPbLbn[]jO HIacuteH MeJaringbLNPYJ [SX

hZJ[]Qc[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhY^OgraveMeJ UPJUfR[WbLQ H mordmUPJUb H [PhF[SX H MJiexclNPb H QVUPJUacutebn[]O H []jh

uumlnyacute|thornLyuml13 o

i $amp)(+-)013021+345627893lt=gt9A6CBQcYUacutebn[]ZOslashK-j H JU^centm`QcO H hZ[W^jbLQcO[N ^mWONSZaringQcbLNPfampYZbdMeJZOslashJaring^QchZJUb H fVm`QsO H MJaringbnhQ H JnVhQc[]O H [frac34ZaringQcOQZaringQVcurrenLJaeligNPYTQcO aJLcenthJUjUPJ J H NPfd^Ve sSs f 5ZaringNP^QcJUjJ H NPfd^VefhShSh]j^iexcl[WFJUPJLheWFJ KhZ[PKEgrave[]YJ MJLhZJ N OJW Xiacute[PhlZtimesjfcN H QR[]O7[SX H MJ^JLhQVUiN H QR[]OjYZQcO[YZMNiK=JIacute[PK H QZaringQcurrenUN H QR[]O H [B[]fcY^ Q H M YjbM NZaringJ H Me[B^egtWFJtimesNihJaeligNicent-fRJ H [hZJUNP^QsfVmH N`PJQcO H [NPbLbn[]jO HaringH MeJ bLNPYJ [SXhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhY H MN H U~NihYm^jhQcO[ H MeJ KhZ[PKN[]N H QR[]O[SX H MeJ NPb H QUPJ bn[]O H []jeh^MeJUYJ ^eJUYZbnhQRK H [PhYTMNUPJH [centEgraveJtimesbn[]OYZQc^eJLhZJU^ YZQcObnJ H MJmaNihZJlaquoWQc^eJUfmjYJU^X[PhOtildejOYZjeKEgraveJLhYUWQcYJU^YJ[]ZaringJUOWVH N H QR[]O^ not [Ph(YZjbdM hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYbnhQRK H [PhYeOgraveWFJiexclYZMe[W H MN H NP^^Q H QR[]ONPfH JLhlZ Y0NiKKEgraveJUNihNtildeQsO H MeJJUP[]fcj H QR[]OaringJBjN H QR[]O [SX H MeJiexclbLjehlUPJ H MN H MNUPJUacuteOe[ H centEgraveJLJUOKhJUBQR[]jYZfVm bn[]ZOslashK-j H JU^O^

pE paraOacuteOgraveJJTIshyAgravesup1cedilqoacuteIshyacuteLcedilsup3UrltLcedilgtmicrobacuteNsMgtLtrraquoML iquest acuteAgravegtT2MKIOAacutelAcirclaquocedilFAtildeacuteNfrac12oRSJT13AringKacutepoundAEligMKIKJMgtPltLAtildeq jhyZaringNPQcOb[P[]NPfFfsQRJUYTQcO H MeJ JUfsNicent=[PhdN H QR[]O[SXNfrac34[PJUOeJLhNPfXhdNSZOslashJWNtilde[Phl`umlX[Ph H MeJYJ[]ZaringJUO H N H QR[]O7[SXNPO7QZaringN[PJQcO H WF[euml^Q=JLhJUO H hZJ[]QR[]OYtimesjYZQcOF[hZJ[]QR[]OWVcent-NPYJU^NPb H QVUPJIacutebn[]O H []jehdY^ JOtildeKhZ[PKEgrave[]YJ H [ZaringQcOQZ QVcurrenLJ H MeJiexcl[PJUOeJLhdNPfgbnhQ H JLhQc[]O a2jWiexclMeJLhZJUacuteJUNPbM hJ[]QR[]OQcYamp^eJUYbnhQRcentEgraveJU^TjYQcO[UacuteN_XqjOb H Qc[]OtimesbLNPfsfRJU^ n^eJUYZbnhQRK H [Ph[SX H MeJhZJ[]QR[]Op^i YampKhZJUWQuV[]jYfVmOtilde^eJ H NPQcfRJU^OeNiexcl^eJUYbnhQRK H [PhQcY9N XiacutejOb H QR[]O H MN H ZOslashJUNPYZjhZJUY H MJNtildeMe[]ZOslash[S[PJUOJUQ H m[SXyN hZJ[]QR[]OO^Egrave_[]Y H [SXyhJUfRJU~NPO H Y H N H QcY H QcbLNPf^eJUYZbnhQcK H [PhY^JLK=JUO^ H MeJZaringYZJUfVUPJUY[]O H MeJOslashhJ[]QR[]OO^ G []ZOslashJOslashJkeNSZOslashKfRJUYOtildeNihJordm[]QVUPJUOQcO G JUb^shy^ macr^ not [PhTJkWNSZOslashK-fRJSe H MeJhZJ[]Qc[]Oa^eJUYZbnhdQRK H [Phordfuuml thorn timesOslash yuml bLNPO centEgraveJTbM[]YJUOeumlNPY H MJyUiNihQcNPObnJvu centtimesOslash [SX H MeJThJ[]QR[]OOumlcopytimesOslashFeWMQcbdM[]QVUPJUYaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashj|aacute[u centtimesOslash aacutexw$ aOtilde SOtimesOslashjUcirccent atilde aumlw$ atilde aumlWMJLhZJSOtimesOslash QcY H MJyZOslashJUNPO [SX H MeJaumlhJ[]QR[]OwOumlcopytimesOslash^ G jbMaNaring^eJUYZbnhQcK H [PhQcY(ONSZaringJU^aNn5hZJ[]Qc[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhlpOslashYZQcObnJaumlQ H ^eJLKEgraveJUO^YF[]O H MeJaumlhJ[]QR[]OwOuml timesOslash ^q ObnJ H MeJTbnhdQ H JLhQR[]O QcYQcO H h[B^jbnJU^OeWNtildeJTKhZ[PKEgrave[]YJ H [ bn[]ZaringKj H J H MeJTJUP[]fcjWVH QR[]OUacuteJBjN H QR[]OT[SX H MJ0bn[]O H []jh H MN H WQsfcfZaringN`PJ0Q H JUP[]fVUPJ H [WNih^YNyacuteZaringQcOQCZIacutejFZ[SX H MeJTbnhdQ H JLhQR[]OjYZQcO[OslashNaringOeJWH0jfcJLhQcNPOZOslashJ H Me[W^O^ H XqjO^NSZOslashJUO H NPfcfVm ^QEgraveJLhYXiacutehZ[]Z2[ H MJLhFNiKKhZ[]NPbMeJUYFYZQcObnJyacuteWNtildeJ_`PJLJLK H MJ Xiacute[PhlZIacutejfcN H QR[]Oaring[SXhJ[]QR[]OY0QsOY H JUNP^[SXyhJU^jbLQcO[ H MeJWiexclMe[]fRJTKhZ[PcentfRJZ H [ centEgrave[]jO^NihYm QcO H J[PhNPfcY^gtO^JLJU^OeWFJlaquohY HQcO H hZ[W^jbnJFNiexcl^mWONSZaringQsbLNPfYZbdMeJZOslashJ(QcO H MeJ(bnhQ H JLhQc[]OIacuteNPO^ H MeJUOWFJbn[]ZaringKj H J H MeJNtildejfRJLhQcNPO`^eJLhQVUiN H QVUPJaelig[SX H MJOslashJUP[]fVUBQsO[ bnhQ H JLhQR[]O`centm`jYZQsO[ YMNiKEgraveJIacute[PK H QCZaringQVcurrenUN~VH QR[]O KhQsObLQRKfRJUY^]MQcYZOslashJ H Me[W^ KhZ[UWQc^eJUY H MeJUacuteNP^U~NPO H N[PJ H MN HH MeJ5U~NihdQcN H QR[]O[SXehZJ[]Qc[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYbnhQRK H [PhYltWQ H M H MeJFJUP[]fcj H QR[]OIacute[SX H MeJNPb H QVUPJ(bn[]O H []jhbLNPO centEgraveJOtildehZJUNP^QcfVm H N`PJUO`QcO H [ NPbLbn[]jO H ^MeJTbn[]ZOslashKj H N H QR[]Oa[SX H MJTJUP[]fcj H Qc[]OaJBjN H QR[]O`[SX H MeJIacuteNPb H QUPJtimesbn[]O H []jehOtildeQcYKEgraveJLhYXiacute[PhlZOslashJU^QcO H MehJLJyZaringNPQcO Y H JLK-Yaring

uumlnyacute|thornLyuml13 y

yenKbrvbarsect =4 acirc $ hf^ltO H hZ[W^jb H QR[]O[SX$NOslash^mWONSZaringQcbLNPfYbMeJZOslashJSaring JTYJUNihbdMX[Ph H MeJOtildeKNih H Q H Qc[]O[SX H MeJaumlQZ N[PJadOumlcopytimesOslashszliglOuml UgraveUcircUacuteUuml szligYYacutejWMQcbdMZaringQcOQuVZaringQVcurrenLJUY H MeJbnhQ H JLhQR[]Oocirc|adOumlcopytimesOslashgtszliglOuml UgraveUcircUacuteUuml szligYYacutej^eJUYZbnhQRcentEgraveJU^aeligQcOa2j^ MQcfRJNPYZYZjZaringQcO[

H MN H NPO`[PK H QZaringNPf9KNih H Q H Qc[]O JkWQsY H Ye H MJTQcYZYZjJTQcY H [ bn[]ZOslashKj H J H MQcYiexclY[]fcjWVH QR[]OO^ G QsObnJ H MeJ YJ H [SX(NPfcfy^e[]ZaringNPQsOYaumlMNPYIacuteOe[ H NaY H hjb H jehZJOslash[SXcopyUPJUb H [PhQsNPfYKNPbnJSeQ H QcYauml^Qz bLjf HUacuteH [abn[]ZOslashKj H J H MeJ ^eJLhdQVU~N H QUPJOslash[SX H MJ bnhQ H JLhQc[]ONPb|Vbn[Ph^QcO[ H [ H MJ^e[]ZaringNPQsOY^_[ bLQchbLjFZUPJUO H H MQcY`KhZ[PcentfcJZeyacuteWFJNiKKfmN H hNPOYYX[PhlZ N H QR[]O| H [ JUNPbM^e[]ZaringNPQsOOeYZjbdM H MN H Q H centEgraveJUbn[]ZOslashJUY`bn[]OWVH QcOj[]jYZfVm^eJLKEgraveJUO^eJUO H []O NPO JUP[]fsj H QR[]O KNihNSZOslashJ H JLhagrave^MeJ`bnhQ H JLhQR[]Ocent=JUbn[]ZaringJUYT^eJLKEgraveJUO^eJUO H []Obagravearingocirc|aagravejgaacute ocirc|adOumlcopytimesOslashaagravejszliglOuml UgraveUcircUacuteUuml aagravejszligYYacuteaagravejj^QO H MQcY^mBONSZaringQcbLNPfTYbMeJZOslashJSeiexclWFJ bLNPO hJUNP^QcfVm H N`PJQcO H [ NPbLbn[]jO H N K=[]YYZQRcentfRJU~NihQsN H QR[]O[SX H MeJ ^eJUYZbnhdQRK H [PhYWQ H M H MeJJUP[]fVUWQcO[ hZJ[]QR[]OYk|adOuml times j aacuteOumlcopytimesaagravej^

^QiexclJLhdQVU~N H Qc[]O [SX H MeJaumlbnhQ H JLhQc[]O jYZQcO[OslashYZMNiK=JOtilde[PK H QZaringQVcurrenUN H QR[]O H MJL[PhZJZaringYaringMeJNtildebnhdQ H JLhQR[]OocircOcircaagravej9QcY H MeJUOIacute^JLhQVUPJU^TNPbLbn[Phd^QcO[ H [5agrave H MNPO`WY H [ H MeJFbn[]ZaeligVKj H N H QR[]Oeuml[SX H MeJ0jfRJLhQcNPOeuml^eJLhQU~N H QVUPJaelig[SX_ocircjYZQcO[YZMNiKEgraveJaelig[PK H QZ QVcurrenUN H QR[]OKhQcObLQcKfRJUYeOWMQcbMQcYIacuteOJWQsO H MeJNihZJUN [SXNPb H QVUPJ bn[]O H []jehY^$ YXqNihOslashNPYH MeJF^JLhQVUiN H QR[]OTQcYbn[]ObnJLhOeJU^e H MeJU~NihdQcN H QR[]OIacute[SX H MeJF^JUYZbnhQRK H [PhdYWQ H M H MeJJUP[]fVUBQsO[OslashhZJ[]QR[]OY_Oumlcopytimesaagravej(NPO^Y[ordmWQ H MagravetZIacutejY H centEgraveJ H N`PJUOaQcO H [aringNPbLbn[]jO H ^

^vF[]ZOslashKj H N H Qc[]O [SX H MJaumlJUP[]fcj H QR[]OJjN H Qc[]OXh[]Z H MeJauml^eJLhQU~N H QVUPJSaringnot hZ[]Z H MeJNtilde^JLhQVUiN H QVUPJSeWFJNtilde^eJU^jbnJ H MeJUPJUfR[WbLQ H mordfUPJUb H [Ph$[SX H MeJFNPb H QVUPJbn[]OWVH []jeh H MN H WiexclQcfcfZaringN`PJQ H JUP[]fUPJiexclNPYXqNPY H NPY$KEgrave[]YZYQRcentfRJ H [WNih^YNtildeNgZaringQcOQCZIacutejFZ[SX H MeJOtildebnhQ H JLhdQR[]OO^ObLNPYJUacute[SX9hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhYe H MeJUacuteJUP[]fcjWVH QR[]OeumlJjN H QR[]Oeuml[SX H MJaringNPb H QVUPJaringbn[]O H []jhTQcYOtilde^QEgraveJLhZJUO H XhZ[]Z H MJtimes[]OJaringbn[]ZaeligVKj H JU^ Xiacute[Ph hZJ[]QR[]OWV4QcO^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhY^ G []ZOslashJ`NP^^Q H QR[]ONPf H JLhZaringYNiKKEgraveJUNihiexclNPO^`Y[ Q H QcY[SX$KhdQZOslashJaumlOeJUbnJUYZYQ H m H [bn[]OYZQc^JLh H MeJ H WNtilde[o`WQcO^Y([SX^eJUYZbnhQRK H [PhY(YJLKNihN H JUfmS^

9J H jYFOe[ H J H MN HFH MQcY[PJUOeJLhNPfKXiacutehNSZOslashJWF[PhY` bLNPO centEgraveJNiKK-fcQRJU^ H [ordmZaringNPOm ^QEgraveJLhVJUO H NiKKfsQcbLN H QR[]OYcentm[]OfVmbMNPO[]QsO[ H MeJT^eJUYbnhQRK H [PhY^ H MNPYcentEgraveJLJUOOe[ H NicentfmNiKK-fcQRJU^ H [ordmZOslash[UBQsO[aelig[Pcent~5JUb H Y(^J H JUb H QR[]O QcOoUBQs^eJL[timesYZJjeJUObnJUY(NPbjQchZJU^ JUQ H MeJLhWQ H MN Y H N H QcbawS]JUMNPOWV4XFJUYZY[]O J H NPfd^Ve sSs fLbjiexcl[PhUacuteNregZOslash[Pcent-QcfRJTbLNSZOslashJLhdNawS]JUMNPOWVXFJUYZY[]O J H NPf)^Ve sSs fncentj^ JUYZbnhQRK H [PhdYoZ Nm NPfcY[centEgraveJ YJBjeJUO H QcNPfcfVm jYJU^ H [QZaringKhZ[UPJ H MeJu-ONPfBhZJUYZjf H NPYyQ H MNPYampcentEgraveJLJUOaeligKh[PK=[]YZJU^timesQsOtawSPJUMNPOWV4XFJUYZYZ[]OOslashJ H NPfd^VesSs fLNOgravej^^f^~OacuteETHEgraveKEacute18=KETH32EacuteltOacuterEacute0frac34Ntilde83ltOacuteONtildeshyIacute=gtNtildeshyEumltIcirc=39IgraveFIacute5Igrave O QZaringN[PJumlOtildegta2atildeltszligaumlj QcYNxXqjOb H QR[]O ^eJOJU^ Xiacute[Phpounda2atildeshyszligaumlFj OumlOcirccenteuWMeJLhZJOumloslashQcY H MeJ QZaringN[PJ ^e[]ZaringNPQcOO^ltMeJ QCZaringN[PJ ^e[]Z NPQcOQcYIacutebn[]OYZQc^eJLhJU^ H [ cent=JZaringNP^eJjeK`[SX H WF[KNih H Ylaquoa not Q[^fjaring H MJyXiacute[PhZJ[PhZ[]jO^`KNih H bn[]O H NPQsOQcO[ H MeJT[Pcent~JUb H Y H [

uumlnyacute|thornLyuml13

f s $amp)(+-)013021+345627893lt=gt9A6CBYJ[]ZaringJUO H e=Oe[ H JU^frac34OumlcopytimesOslashFe-NPO^ H MeJaumlcent-NPbY`[PhZ[]jO^aKNih H Oe[ H JU^Ouml UgraveUcircUacuteUuml ^MeJauml^QcYZbn[]OWVH QcOBjQ H m`YJ H QcYOtildeNbLjehlUPJ Oe[ H JU^bYacute H MN H ^JOeJUY H MeJ cent=[]jO^NihYmcentEgraveJ H WNtildeJLJUO H MeJH WNtilde[ ^[]ZaringNPQcOY^ J H MJUOaYJUNihbdMtXiacute[Ph H MeJ H WNtilde[^e[]ZaringNPQsOYyacuteOuml UgraveUcircUacuteUuml NPO^wOumlutimes OslashWMQcbdMtZaringQcOQZaringQVcurrenLJ H MeJbnhQ H JLhQR[]Oocircuml[]QVUPJUOcentmumla2jehZJZaringQcO^eJU^ MeJLhZJSaring

ocirc|adOuml UgraveUcircUacuteUuml szliglOumlcopytimesOslashgtszligYYacuteQjumlaacute uuml thorn UgraveUcircUacuteUuml yuml a2atildeltszligaumlgtszliglOuml UgraveUacuteUuml j atilde auml $ uuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOuml timesOslash j atilde aumlamp uacuteucirc thorn yuml uuml thorn otilde)yuml a2atildeshyszligaumlFj THORN5OaumlbnhQ H JLhdQR[]Oa2je H MeJ|hY HH WNtilde[ H JLhlZaringY9NihJyhZJ[]QR[]OWVcent-NPYJU^ordfWMQsfRJ H MeJ H MQRhd^ H JLhlZQcYcentEgrave[]jO^NihYmVcentNPYJU^O^MeJiexclXqjOb H QR[]OYyacuteuuml thorn UgraveUcircUacuteUuml yuml egtuuml thorn timesOslash yuml NPO^tuuml thorn otilde)yuml NihZJaumlhZJUYKEgraveJUb H QVUPJUfmH MeJ^eJUYZbnhdQRK H [PhY[SX H MeJFcentNPbl`[PhZ[]jO^timesKNih H ei[SX H MeJ[Pcent~JUb H Y H [OtildeYJ[]ZOslashJUO H NPO^Iacute[SXH MeJaumlbn[]O H []jeh^KMeJauml^eJUYbnhQRK H [PhYuZ Nm centEgraveJordf[]fR[PcentNPfcfm N HH NPbMJU^ H [ H MeJOtildeJUP[]fVUWQcO[hZJ[]Qc[]OY(NPO^Y[ ^eJLKEgraveJUO^ []Ofrac34Ouml timesOslash [Ph5OumluUgraveUcircUacuteUuml^

G QcObnJ H MeJaringYJ H [SXNtildeNPfsf$^e[]ZaringNPQcOYUacuteMNPYOtildeO[ H N Y H hjb H jehJtimes[SXUPJUb H [PhQcNPfyYZKNPbnJSeWFJIacutebLNPOeumlOe[ H bn[]ZOslashKj H J H MeJaelig^eJLhQVUiN H QVUPJT[SX H MJIacuteKhJUBQR[]jYbnhQ H JLhdQR[]OaNPbLbn[Ph^QcO[H [euml^e[]ZaringNPQcOY^ltMJLhZJX[PhJSe H [bn[]ZOslashKj H JNPO[PK H QZaringNPfFY[]fcj H Qc[]OOe9Neuml^mWONSZaringQcbLNPfYZbdMeJZOslashJOtildeQcYQcO H hZ[W^jbnJU^WMeJLhZJJUNPbM^[]ZaringNPQcO cent=JUbn[]ZaringJUY(bn[]O H QcOBje[]jYfVm ^eJLKEgraveJUOWV^eJUO H []ONPO JUP[]fcj H QR[]O KNihdNSZOslashJ H JLhagrave^59[ X[PhZaringNPfcQVcurrenLJ H MQcYQc^eJUNe WNtildeJxZaringNmYZjKKEgrave[]YJ H MN HTH MJ JUP[]fcj H Qc[]OKhZ[WbnJUYZYtimesQcY H [ H NPfsfVm^eJ H JLhlZaringQcOJU^centm H MJ JkeQcY5VH JUObnJiexcl[SXgNyXqNSZaringQcfmIacute[SXgNiKK-fcQcbLN H QR[]OY| H MN HNtildeH hNPOYXiacute[PhlZaringY H MeJiexclQsOQ H QcNPfe^e[]Z NPQcOYOumlcopytimesOslashgta s jNPO^tOuml UgraveUcircUacuteUuml a s jQsO H [ H MeJIacutebLjehZhZJUO H ^e[]ZaringNPQcOYyacuteOumlcopytimesOslashKaagravejNPO^frac34Ouml UgraveUcircUacuteUuml aagravejaring

OumlutimesUcirca s j ntilde OumlcopytimesaagravejYacutea s j ntilde Yacuteaagravej WiexclMeJLhZJVQaacuteiV[Ph Kf5 iumlMBjY H MeJOtildehJ[]QR[]OY(JUP[]fVUPJ H [WNih^YiexclNPO [PK H QZaringNPf9Y[]fcj H QR[]O^MeJ H hQRKfcJ H Ouml UgraveUcircUacuteUuml aagravejszliglOumlcopytimesOslashOaagravejszligYYacuteaagravejordmZIacutejY H NPb H NPYNregZaringQcOQZ QVcurrenUQcO[TYZJjeJUObnJgX[Phocirc|adOuml UgraveUcircUacuteUuml szliglOumlcopytimesOslashszligYYacutejWiexclMeJUOagrave JUP[]fVUPJUY^MeJ5XqjOb H QR[]ONPfOocircOcircadOuml UgraveUacuteUuml aagravejszliglOumlcopytimesOslashaagravejszligYYacuteaagravejjMNPY H [ bn[]OOgraveUPJLhY[PJ H [WNih^Y H MeJpoundZaringQcOQCZIacutejFZ UiNPfcjeJeuml[SXregocirc2NPYfrac34agraveacircntilde ograveegrave^ MeJbnhQ H JLhQR[]O H MeJUO centEgraveJUbn[]ZOslashJUYaring

ocirc|adOuml UgraveUcircUacuteUuml aagravejszliglOumlcopytimesOslashaagravejszligYYacuteaagravejjaacute thorn yuml uuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszliglOuml UgraveUcircUacuteUuml aagravejj atilde auml 5$ thorn yuml uuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashKaagravejj atilde aumlj uacuteucirc thorn yuml uuml thorn otilde)yuml a2atildeshyszligaumlFj THORN adh]jMJoXqjOb H Qc[]ONPf_ocircOcircadOumlyacuteUgraveUacuteUumllaagravejszliglOuml timesOslash aagravejszligYYacuteaagravejjaeligQcY H MeJLhZJUNX H JLh O[ H JU^egraveocirc|aagraveje0NPO^H MeJ ^eJUYZbnhQcK H [PhYuuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashKaagravejj NPO^icircuuml thorn UgraveUcircUacuteUuml yuml a2atildeltszligaumlgtszliglOuml UgraveUcircUacuteUuml aagravejjaringNihZJ`hZJUYKEgraveJUb|VH QVUPJUfmUacuteO[ H JU^laquouuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejgNPO^laquouuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszligYagravejeWMQcbdMTfRJUNP^Y H [ H MeJXiacute[]fcfR[WQcO[

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ fSfJkWKhZJUYZYQR[]OOaring

ocirc|aagravejumlaacute thorn yuml uuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszligYagravej atilde auml $ thorn yuml uumlgtthorn timesOslash yuml a2atildeltszligaumlgtszligYagravej atilde aumlj uacuteucirc thorn yuml uumlgtthorn otilde)yuml a2atildeshyszligaumlFj THORN af s j5OOtildebn[]O H hdNPY H WQ H MUacute[ H MeJLh9NPb H QVUPJFbn[]O H []jehdY9NiKKh[]NPbMeJUYe H MeJy^mWONSZaringQcbLNPfPYZbdMeJZOslashJQcYtimesMeJLhZJ^QRhJUb H fVmQcO H h[B^jbnJU^QcO H MeJbnhQ H JLhQc[]OO^ Q H MYZjbdMNeumlYZbdMeJZOslashJSe H MeJQcO H hZ[W^jb H QR[]OOacute[SXiexclNPO NPb H QVUPJbn[]O H []jehOslashJUP[]fVUWQcO[ WQ H Msup1agraveQcYaeligY H hNPQ[]M H Xiacute[PhYWNih^O^iexclJUObnJ WNtildeJbn[]OYZQc^eJLh H MN H Yacuteaagravej QsYoZaring[B^eJUfsfRJU^ NPY NPO NPb H QUPJOacutebn[]O H []jh H MN Hbn[]OUPJLhY[PJUY H [WNih^Y H MJgONPfEgraveJkWKEgraveJUb H JU^YJ[]ZOslashJUO H N H QR[]OO^9J H Yacutea s jtimescentEgraveJ H MeJQcOQ H QcNPfNtildebLjhYUPJa^eJOJU^centm H MeJjYJLh^ JahZJUbLNPfcf H MN H WFJYJUNihdbMtXiacute[Ph YacuteaagravejNPYNaringbLjehlUPJaumlJUP[]fVUWQcO[aringNPbLbn[Ph^QsO[ H [ H MeJgXiacute[]fcfR[WQcO[ordm5 aringaelig YacuteadTHORNOgraveszligYagravejaelig agrave aacuteegraveeuml WiexclQ H MigraveYacutea s j|aacuteegraveYacuteshyiacute afSfjWMJLhZJ_euml`QcY H MJ_UPJUfR[WbLQ H mUPJUb H [Ph([SX H MeJUacuteNPb H QVUPJOtildebn[]O H []jh^MeJ_Z NPQcO KhZ[PcentfRJZfcQcJUYFQsO-O^QcO[ H MeJiexclUPJUfR[WbLQ H meumlXhZ[]Z H MJUacutebnhdQ H JLhQR[]Opoundaf s jFQcO [Ph^JLh H [ordm[PJ HH MeJXqNPY H JUY H bLjhYUPJaumlJUP[]fcj H Qc[]O H [WNih^Y H MeJordfONPfYJ[]ZaringJUO H N H QR[]O^^ ^iexclEacuteltIacuteETHNtildeFETHEacuteshyOacute Eacute10wETH9Igrave8ltIgraveFEgravegt+NtildeFETH3gt+ltIgraveumlEacute10frac34ETH9Igrave=KEgrave13ETHIgraveFEgraveEacuteshyOacute5Oeuml[Ph^eJLh H [ [Pcent H NPQsO H MeJOslashJUP[]fcj H QR[]OeumlJBjN H QR[]Oe H MeJaringbnhQ H JLhQc[]OxocircOcircaagravej5ZtimesjY H centEgraveJ^QV=JLhZJUO H QcN H JU^WQ H MhZJUYKEgraveJUb H(H [agrave^MeJOtildeQcO H J[PhNPfcentEgrave[]jO^Y^eJLKEgraveJUO^ []Otagrave NPO^H MeJauml^JUYZbnhQRK H [PhdYyacuteuuml thorn UgraveUcircUacuteUuml yuml a)jNPO^wuuml thorn times Oslash yuml a)juZaringNm NPfcY[aring^JLK=JUO^[]Otagrave^9J H jY^eJOJ H MeJordfXiacutejOb H QR[]ONPfuumlOa2atildeltszligaumlgtszligYagravejYZjbM H MN H aring

uumlOa2atildeltszligaumlgtszligYagravej|aacute uuml thorn UgraveUacuteUuml yuml a2atildeltszligaumlgtszligYagravej QVXcopya2atildeltszligaumljwOuml UgraveUcircUacuteUuml aagravejuuml thorn times Oslash yuml a2atildeltszligaumlgtszligYagravej QVXcopya2atildeshyszligaumlFjtOumlcopytimesOslashKaagravej af jMJbXqjOb H QR[]ONPfuuml thorn UgraveUcircUacuteUuml yuml a)jNPO^Huuml thorn times Oslash yuml a)j`NihZJ^eJOJU^ []O H MeJxWMe[]fRJ7QZaringN[PJ^e[]Z NPQcOtOumliexcl^FMeJUOe H MeJaumlbnhQ H JLhQc[]OocircOcircaagravejuWhQ H JUY(NPYaring

ocirc|aagravejOcircaacute uacute uumlOa2atildeshyszligaumlKszligYagravej atilde aumlj uacuteucirc thorn yuml uumlgtthorn otilde)yuml a2atildeshyszligaumlFj THORNordfaacuteocirc aagravej ocirc cent aagravej af]jWMJLhZJgOuml QcY H MeJaumlQCZaringN[PJT^e[]ZaringNPQsOOeeNPO^Oaring

ocirc aagravej|aacute uacute uumlOa2atildeshyszligaumlKszligYagravej atilde aumlocirc cent aagravejOcircaacute uacuteucirc thorn yuml uuml thorn otilde)yuml a2atildeshyszligaumlFj THORN

uumlnyacutenthornnyumll13YSordmY_F

f $amp)(+-)013021+345627893lt=gt9A6CB5OOtilde[Ph^eJLh H [bn[]ZaringKj H J H MJ0^eJLhQVUiN H QVUPJy[SX H MJNtildebnhQ H JLhdQR[]Olaquoocirc aagraveje H MJNtilde^QcYbn[]O H QcOBjWVQ H QcJUY|ZtimesjY H JkWKfcQcbLQ H fVmIacutecentEgraveJ H N`PJUOQcO H [IacuteNPbLbn[]jO H ^ not [Ph(YZjbdM NIacuteKjehZKEgrave[]YJSeSWFJ5hY HhZJUbLNPfsf-N[PJUOeJLhNPf H MeJL[PhJZbn[]ObnJLhOQcO[ H MeJUacute^eJLhQVUiN H QVUPJ[SX9N H QZOslashJnV4^eJLKEgraveJUO^JUO HbnhQ H JLhQR[]OO^9J H jY(^eJ-OeJyOumlcopytimesaagravejNPYNOslashhZJ[]Qc[]OQcObLfcj^eJU^QcO H [regOumlordf^yacute5 q Ntilde_ f^1ltuumlStimesBiexcl centpoundcurrenyencurrenbrvbarsectumlordfcopynotlaquo3shyyenLregmacrcurrenRlaquodegcurrenbrvbarlaquo Oumlplusmna s szligsup2|iexcljsup3acute Rlaquomicromiddotparagtltocirc|aagravejOcircaacute w thorn yuml uumlStimesYa2atildeltszligaumlgtszligYagravej atilde auml~sup3cedilsectsup1ltlaquoordm ocirc agrave aacuteocirc7raquodaagravejOcircaacute thorn yuml aelig uumlStimesaelig agrave atilde auml uacutefrac14 thorn yuml uumlStimesYafrac34frac12 eacuteAgraveiquestsup1AacuteAtildeAcircYj THORNAuml sectsup1ltAringPfrac12AEligreg(centsectsup1Ccedilbrvbar_paracurrenyenshyltregLLEgraveacutecurrensup2uml aelig Oumlcopytimesaagravej RlaquomicroeacuteAgraveiquestsup1AacuteAtildeAcircEacuteregEcirccentsectsup1copysup1laquoregEumlreg(laquo Auml brvbarAringsup2microacutelaquocurrenRAringordfpound RparaIgravecurren aelig Oumlcopytimesaagravej_IacuteMJ^JLhQVUiN H QVUPJ[SXshyocircWQ H MaelighZJUYZK=JUb HampH [yagraveaeligQcY H MJyacute0jfRJLhdQcNPOIacute^JLhQVUiN H QVUPJ([SXocirc|adOumlcopytimesAjQcO H MeJOtilde^QRhJUb H QR[]O [SXEumlfrac12umleWMQcbdM bn[]ZaringKj H N H QR[]O QcY[]QVUPJUO QsO iexclKKEgraveJUO^Qkaring ^FMeJUiNihQcN H QR[]Oeuml[SX5ocirc QcYOtilde^jeJ H [ H MeJUiNihQcN H Qc[]O[SX H MeJordmXiacutejOb H QR[]ONPfOcircuuml]timesa2atildeltszligaumlgtszligYagravejaumlNPO^H [ H MeJgZOslash[ H Qc[]O[SX H MeJOtildeQcO H J[PhNPf^e[]ZaringNPQsOOumlutimesaagravej^ Y(Naeligbn[PhZ[]fcfcNihYm [SXltMJL[PhZJZfeFWFJordf[PJ H aringv q q shy9 5lt f^yenIcirccopyNcentampcentcopyIuml-Iumlsup1currenfcentyenYsectnot -sectsup1Ymicro-currenRpound Rreglaquofrac34Oumlgaagravejampreg(centpound -microETHcopyIumliexclcurrensup2uml Auml currenCIuml RAringordfcentsup3yOuml timesOslash aagravejNtilde RlaquomicropoundOumlyacuteUgraveUacuteUumllaagravejOgravecentyenfrac34Iumlsup1 brvbarAringsup2 brvbarmicro_Egraveh iexclpoundYcurrenbrvbarCcedildreglaquoNOacutehreglaquo5_Aringumllt -shytYacuteaagravejAuml sectETHregmacrshy_sectOcircCcedilRltparaOtildecurrendshyltregLLEgraveregEcirccentyacuteeumlEumlIacuteOumlsectsup1Uumlordfcopynotlaquo3shyyenLregmacrcurrenRlaquouumlOa2atildeltszligaumlgtszligYagravejreg(centcentordfcopyIuml-Iumlsup1currenfcentyenmicroOcircIgravecurrenOcirccentltfrac34Iuml RAringsup2 -_paraEgraveshycurrenRlaquo5LreglaquocopycurrenRcopynotcentcedilreglaquoyOumlcopytimesOslashKaagravejW Rlaquomicro Ouml UgraveUcircUacuteUuml aagravej_copy3pound REgraveampJmicrobrvbarregEcirccentltshycurrenRlaquo5LreglaquocopycurrenRcopynotcentJ -shyltAringPcurrenfcentcentYacuteaagravej_Iacutetimes Agravelaquocurrenbrvbaruuml thorn times Oslash yuml Rlaquomicroruuml thorn UgraveUcircUacuteUuml yuml sup3sectsup1Ccedilf brvbarparacopy5iexclcurrensup2umlwuumlreglaquoOslashAringordfcentIumlshydLreg(Ccedilbrvbar_paraEgraverOumlutimes OslashaagravejAgrave Rlaquo3microOuml UgraveUcircUacuteUuml aagravej_IacuteUgraveOumlsectNcopyNcentampsectmicroETH_Aringordfreg(CcedilR brvbarLregCcedilRcurrensup2umlordfocirc|aagravej Auml AringregLordfcent fcent_ordm

ocirc7raquo)aagravejOcircaacuteUacute thorn yuml aelig uumlaelig agrave atilde auml uacutefrac14 thorn yuml uumlOaLUcirc eacute iquestsup1Aacute j THORN uacuteucirc thorn yuml uumlNaeuml eacuteHj THORNAuml sectsup1ltAringPacute uumlNAringfrac34Iuml3AringP_centlt_laquocentYsectUumlordfcopysup1poundUgraveIumlcurrensup2umlguumlh -shyltAringPcurrenfcentcentordfYacuteaagravej_ordmW uumlNaacuteacircuuml thorn UgraveUacuteUuml yuml uuml thorn times Oslash yuml sup3eacute sectsup1ncopynotlaquo5reglaquo3currenRAringpound RparaIcirccurrensup2umlordfYacuteaagravejmicrobrvbarreg(AringshydmicroampumlAringPcurrenRpound Ouml UgraveUacuteUuml aagravejIgravecurrenOumlutimes OslashKaagravejsup3eacuteAgraveiquestsup1Aacutesectcopysup1laquoregLEumlreglaquo Auml RAringPmicroOcirclaquocurrenRAringordfpound Rpara1Igravecurren aelig Oumlgaagravejj RlaquomicroUcircYacutesectsup1jCcedilbrvbar_paracurrenyenshyltregLLEgravenCcedilbrvbarshydIgravecurrenRAringjcurrensup2uml_Oumlyaagravej_Iacute

plusmngLMOMraquo aring JbLNPO NiKKfVm MJL[PhZJZ f H [ H MeJ ^[]ZaringNPQcO Oumlutimes OslashaagravejaringNPO^ H [ H MeJ^e[]Z NPQcOtOuml UgraveUcircUacuteUuml aagravej^ ^^QcO[ H MeJ H WF[aringJjN H QR[]OYeFWFJOtilde[Pcent H NPQcO H MeJTbn[PhZ[]fcfsNihYmS^ H QcYIacuteOe[WY H hNPQ[]M H Xiacute[PhYWNih^ H [[PJ HtimesH MeJ ^eJLhdQVU~N H QUPJ [SX H MeJ bnhQ H JLhQR[]O ocirc aagravejaringWFJ H N`PJ5OumlyaagravejOcircaacuteAumlOuml H MeJiexclQZaringN[PJ^e[]Z NPQcOta not QV[^ j^MJUOOePcentmaeligJkWKfcQcbLQ H fVm H N`WQcO[

uumlnyacutenthornnyumll13YSordmY_FY

yenKbrvbarsect =4 acirc $ fH MeJtimes^QcYZbn[]O H QcOBjQ H QRJUY(QsO H [ NPbLbn[]jO HUacuteH MNPOF`BY H [ H MeJtimesbn[PhZ[]fcfcNihlmSe H MeJtimes^eJLhQVUiN H QVUPJ[SXocirc aagravejQcYcopy[]QVUPJUOacentmKaring

ocirc raquo aagravejumlaacute uacuteucirc thorn yuml uumlNaeuml eacutej THORN uacutefrac14 uumlOaLUcirc eacuteAgraveiquestsup1Aacutej THORN $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde auml thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afj

q centUWQR[]jYZfVmSe H MeJ7YJUbn[]O^ H JLhlZ [SX H MeJ7^eJLhQVUiN H QVUPJ afjaQcYcurrenLJLh[ YZQcObnJ H MeJJk H JLhONPf(centEgrave[]jO^NihYm aelig OumlD[SX H MeJ`QZaringN[PJaQcYkBJU^^OcircJLKfcNPbLQsO[` uumlN_WQ H MQ H YJkWKhZJUYZYQR[]OOeWNtildeJyO^Oaring

ocirc7raquo aagravejumlaacute uacuteucirc thorn yuml aduuml thorn UgraveUcircUacuteUuml yuml1 uuml thorn timesOslash yuml jaeuml eacuteHj THORN $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde auml thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afmacr]jMJUacute^JLhQVUiN H QVUPJOtilde[SXocirc cent aagravejQcY(bLfcNPYZYQcbLNPfdaring

ocirc7raquocent aagravejOcircaacute uacuteucirc thorn yuml a uuml thorn otilde)yumld huuml thorn otilde)yuml7 eacutejaeuml eacutej THORN af]jWMJLhZJ a2atildeshyszligaumlKszligYagravejQcY H MeJaumlbLjehlU~N H jehJ[SXQYacutea2atildeltszligaumlgtszligYagravej^MeJLhZJXiacute[PhZJSe H MeJOtilde^eJLhQVUiN H QVUPJ[SX H MeJgWM[]fRJOtildebnhQ H JLhQR[]O QsY H MeJordfXiacute[]fcfR[WiexclQcO[aring

ocirc raquo aagravejpoundaacute $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde aumlamp thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afzSj uacuteucirc thorn yuml aduuml thorn UgraveUcircUacuteUuml yuml uuml thorn timesOslash yuml uuml thorn otilde)yuml huuml thorn otilde)yuml eacutejaeuml eacutej THORN

^ ^~THORNUgrave2FEgraveOIgraveIcircIcirclt2EacuteltOacute Eacute0frac34ETH9Igrave8shyIgraveFEgraveEcirc+NtildeFETH3Ecirc+ltIgraveNtilde7==EacuteltEgrave7813Oacute14 ETHOEacute ETH9IgraveOacuteszligltOacuteshyEacuteOacuteAgrave+QIgraveFEumlEacuteAtilde=13ETH+ltIgrave5=KETHOEacuteshyEgravesup1euml5Oaelig[Ph^eJLh H [Tbn[]ZaringKj H J H MeJuUPJUfR[WbLQ H mUPJUb H [PhcopyeumleSWNtildeJMNUPJ H [yZ N`PJQ H NiKKEgraveJUNihyQcOH MeJhY HH WF[ ^e[]Z NPQcOaQcO H J[PhNPfcYiexcl[SX afzSjcentmJkWKhZJUYZYQcO[ H MeJZ NPY_XiacutejOb H QR[]OY[SX H MeJgUPJUfR[WbLQ H meumlQ^iexclJLhZJiexclWFJ H N`PJ H MeJ5[PJUOeJLhNPfbLNPYZJ5WiexclMeJLhZJ H MeJ^JUYZbnhQRK H [PhdYZaringNm ^eJLKEgraveJUO^ []OXiacuteJUN H jehZJUY5[]fR[PcentNPfsfVmN HH NPbMeJU^ H [ H MJtimeshJ[]QR[]OeumlNPO^eumlY[oZ Nm`^JLK=JUO^a[]O agrave^ JZOslash[W^eJUf$JUNPbdM^eJUYZbnhQRK H [PhIacuteNPYtimesNabn[]ZIacutecentQcON H QR[]OOacute[SXuXJUN H jhZJUYy[]fc[PcentNPfcfVmeumlN HH NPbMeJU^

uumlnyacutenthornnyumll13YSordmY_F

f $amp)(+-)013021+345627893lt=gt9A6CBH [ H MJOtildeJUP[]fVUBQsO[OslashhZJ[]QR[]OY_OumlcopytimesOslashKaagravejF[Ph_Ouml UgraveUacuteUuml aagravejaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejpoundaacuteAElig thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn timesOslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejszligiumlViumlViumlVszligagrave thorn timesOslash yumlaacute aagravejjuuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszligYagravejpoundaacuteAElig thorn UgraveUcircUacuteUuml yuml a2atildeltszligaumlgtszligagrave thorn UgraveUcircUacuteUuml yuml aagravejszligagrave thorn UgraveUcircUacuteUuml yumlcent aagravejszligiumlViumlViumlVszligagrave thorn UgraveUcircUacuteUuml yumlacirc aagravejjafi]j

WMJLhZJSaring agrave thorn(atilde yumlauml aacute 7aring thorn yuml5aelig thorn(atilde yumlauml a2atildeltszligaumlgtszligYagravej atilde auml WQ H Mpounda jOcircaacuteacircaVltjF[Pha Kf5 jiuml afh]j9J H jYuhY H bn[]ZOslashKj H J H MeJIacute^eJLhQVUiN H QVUPJOtilde[SXuuml thorn timesOslash yuml eFWFJgO^Oaring

aelig uuml thorn times Oslash yumlaelig agrave aacute aacuteccedilaumlegrave aelig thorn timesOslash yumlaelig agrave thorn times Oslash yumlauml a2atildeltszligaumlgtszligagrave thorn timesOslash yuml aagravejszligiumlViumlViumlVszligagrave thorn timesOslash yumlaacute aagravejj aelig agrave thorn timesOslash yumlaumlaelig agrave aagravej a s j J MNUPJOe[W H [bn[]ZOslashKj H J H MeJ ^eJLhdQVU~N H QUPJ [SXagrave thorn timesOslash yumlauml NPbLbn[Ph^QcO[ H [umlagrave^ JNiKK-fVm H MeJgMeJL[PhZJZigravefaumlNPO^WNtildeJy[PJ H aring

aelig agrave thorn timesOslash yumlaumlaelig agrave aacute $ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde auml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacutej THORN a fj

JLKfcNPbLQcO[ H MeJNtilde^eJLhdQVU~N H QUPJUY9[SX3agrave thorn timesOslash yumlauml WQ H M H MeJUQRhJkWKhZJUYZYZQc[]OYa fj9QcOa s jeSWFJ[Pcent H NPQsO H MJXiacute[]fcfR[WQcO[iexclJkBKhJUYZYZQR[]OX[Ph H MJF^e[]Z NPQcOaeligQcO H J[PhdNPf[SX H MeJ^eJLhQVUiN H QVUPJ[SX H MeJT^eJUYbnhQRK H [Ph uuml thorn times Oslash yuml aring

$ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde aumlacircaacute aacuteccedilaumlordfegrave -eacute thorn timesOslash yumlauml $ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde auml

aacuteccedilaumlordfegrave eacute thorn timesOslash yumlauml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacuteHj THORN a S jWMJLhZJSaring

eacute thorn timesOslash yumlauml aacute $ thorn yuml aelig thorn timesOslash yumlaelig agrave thorn timesOslash yumlauml a2atildeltszligaumlgtszligagrave thorn timesOslash yuml aagravejszligiumlViumlViumlVszligagrave thorn times Oslash yumlaacute aagravejj atilde auml a ]jMJIacuteJkWKhZJUYZYQR[]OwXiacute[Pha jyacuteaacute a Kf jiexclQcYbn[]ZOslashKj H JU^QsO H MeJaeligYZNSZOslashJordmZaringNPOOeJLhiexclWMQcfRJKNmBQsO[N HH JUO H Qc[]O H [ H MeJ`^QRhZJUb H QR[]O[SX H MeJ`Oe[PhlZaringNPfcopyUPJUb H [PheNPO^rWFJ H MBjY

uumlnyacutenthornnyumll13YSordmY_Fsup2

yenKbrvbarsect =4 acirc $ fmacr[Pcent H NPQsO H MeJg[PJUOeJLhNPfgJkBKhJUYZYZQR[]OXiacute[Ph H MeJauml^JLhQVUiN H QVUPJOtilde[SXocircOcircaagravejaring

ocirc raquo aagravejumlaacute uacuteucirc thorn yuml aduumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn times Oslash yuml uumlgtthorn otilde)yuml d hreguumlgtthorn otilde)yuml eacuteHjaeuml eacutej THORN aacuteccedilaumlordfegrave eacute thorn timesOslash yumlauml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacuteHj THORN acircccedilaumlordfegrave eacute thorn UgraveUcircUacuteUuml yumlauml uacuteucirc thorn yuml aelig thorn UgraveUcircUacuteUuml yumlauml aeuml eacutej THORN aacuteccedilaumlordfegrave -eacute thorn timesOslash yumlauml $ thorn yuml aelig aelig thorn

timesOslash yumlaumlaelig agrave atilde auml acircccedilaumlordfegrave eacute thorn UgraveUcircUacuteUuml yumlauml thorn yuml aelig aelig thorn

UgraveUcircUacuteUuml yumlaumlaelig agrave atilde auml a j^ ^ecirccopyEgraveEacuteshyIacuteIumlETH39shyIgrave8shyIgraveFEgraveEcirc+NtildeFETH3gt+QIgraveETHOEacute3iexclNtildeshyEgrave78QIcircETH9IgraveumlIgrave+EacuteltEumlETHshyETHEacuteshyOacuterIgrave5euml1ONtildeFETH32EacuteltOacuteEacute10wETH9Igrave Ntilde=KETH3gt+ltIgrave=EacuteshyOacuteshyETHEacute1EgraveMJ[P[]NPf[SX H MQsYampKNih H QcY H [aumlbn[]ZOslashK-j H J H MeJ(JkWKhZJUYZYZQc[]Oaelig[SX H MeJuUPJUfc[BbLQ H mUPJUb H [PheumlwWMQcbdMregZaringN`PJUY H MeJUacutebLjehYUPJJUP[]fVUPJOtildeNPYXiacuteNPY H NPYFKEgrave[]YZYZQRcent-fRJ H [WNih^Y(NZaringQcOQCZIacutejFZ[SX H MeJaeligbnhQ H JLhdQR[]Oumlocirc^KO`[Ph^eJLh H [ ^JU^jbnJ H MJyUPJUfR[WbLQ H mwUPJUb H [PhOtilde[SX H MeJaeligNPb H QVUPJbn[]O H []jehQXhZ[]Z H MeJF^eJLhQVUiN H QVUPJ0[SX H MeJNtildebnhQ H JLhQR[]OOeWFJMNUPJ H [5Z N`PJFNiKKEgraveJUNih H MeJUPJUfR[WbLQ H moUPJUb H [PhUacuteQcO H MJTfcNPY HH WNtilde[ ^e[]ZaringNPQcOaQcO H J[PhdNPfcY(centm JkWKhZJUYYZQcO[ H MeJZ NPYcentEgrave[]jO^NihYm QcO H J[PhNPfcY^FMQcYbLNPOaJUNPYZQcfVm centEgraveJauml^e[]OeJTjYZQcO[MJL[PhZJZigravefe-^[]ZaringNPQcOQcO H J[PhNPfcYbLNPOeumlNPfVWNmWYiexclcentEgraveJIacuteJkBKhJUYZYJU^ NPYcentEgrave[]jO^NihYm QcO H J[PhdNPfcY^gtiexcl[WFJUPJLheOXiacute[PhYZQCZOslashKfcQcbLQ H mSe-fcJ H jYbn[]OYZQc^eJLh H MeJaringbLNPYJUYgWMeJLhZJ H MeJUYJOslashfcNPY HH WNtilde[`QcO H J[PhdNPfcYOtildeNihZJJBjNPf H [currenLJLhZ[eOgraveWMQcbMaringMNiKKEgraveJUOYX[PhZOslash[]Y H hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhdQRK H [PhY^S5OH MN H bLNPYJSeNPbLbn[Ph^QsO[ H [ H MeJaeligQcOeJBjNPfcQ H m[SXvNPjbdMOgravemV G bdMOgraveWNih H currenSe H MeJXiacuteNPY H JUY H^eJUbnhJUNPYJa[SXocirc|aagravejOslashQcY [Pcent H NPQcOeJU^ XhZ[]Zecirca jOslashcentm bMe[B[]YZQcOF[beuml aacute ccedilyeacute WMQsbMfRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[aeligJUP[]fcj H Qc[]O JjN H QR[]OOaringaelig Yacuteaagravejaelig agrave aacuteFuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yuml uuml thorn otilde)yuml eacute aacuteccedilaumlordfegrave ETHeacute thorn timesOslash yumlauml aelig thorn timesOslash yumlauml acircccedilaumlordfegrave ETHeacute thorn UgraveUcircUacuteUuml yumlauml aelig thorn UgraveUcircUacuteUuml yumlauml lteacute a macr]jUcircX H MJ^eJUYZbnhQRK H [PhY$^e[TOe[ H ^eJLKEgraveJUO^times[]OregagravetaiacutehZJ[]QR[]OeV4QcO^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhYjeH MeJgiexcl hZJU^jbnJUY H [ H MeJordfXiacute[]fcfR[WQcO[aeligJkWKhZJUYZYQR[]OOaringaelig Yacuteaagravejaelig agrave aacuteigraveuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yumldn reguuml thorn otilde)yuml7 eacutelteacute a ]j

uumlnyacutenthornnyumll13YSordmY_FY

f $amp)(+-)013021+345627893lt=gt9A6CB JaeligbLNPO`O[ H QcbnJ H MN HH MeJtimes^eJLKEgraveJUO^eJUObnJauml[SX H MJIacute^eJUYZbnhdQRK H [PhY[]OwagraveeEgraveNPO^aY[ []OH MeJiexclbLjehYUPJJUP[]fcj H QR[]OOeQcO^jbnJUY0NP^^Q H QR[]ONPf H JLhlZaringYFQcO H MeJiexclJUP[]fcj H QR[]O JjN H QR[]O[SX H MJFNPb H QVUPJ(bn[]O H []jeh^SMeJNP^^Q H QR[]ONPf H JLhZaringYQX[]jO^IacuteQcOoa macr]jbLNPOOe[ H hZJUNP^QsfVmcentEgraveJtimes[Pcent H NPQcOeJU^ WMJUO H MeJOslash^mBONSZaringQcbLNPfampYZbMJZOslashJaringQcYOtildeQcO H hZ[W^jbnJU^eumlNX H JLh H MeJOslashbn[]ZaeligVKj H N H QR[]Oa[SX H MeJaelig^eJLhQVUiN H QVUPJaeligjYZQcO[o0jfcJLhVA9N[PhNPOF[PJIacuteJBjN H QR[]OY^MjYe-Q H QcY[SX=KhQZaringJOeJUbnJUYZYZQ H m H [TQcO H hZ[B^jbnJ H MeJ^mWONSZaringQsbLNPfeYZbMeJZaringJiexclQcO H [ H MeJbnhQ H JLhQR[]OQ H YZJUfVXiexclQcO[Phd^eJLh H [JUNPYZQsfVmsup1[PJ H H MeJUYJaNP^^Q H QR[]ONPf H JLhlZ Y QcO bLNPYJa[SXhJ[]QR[]OWV^eJLKEgraveJUO^JUO H ^JUYZbnhQRK H [PhdY^MNPO`BY H [ H MeJUYJeumlNP^^Q H QR[]ONPf H JLhlZaringYeWFJ`JUOYZjehZJH MeJordfXqNPY H JUY H JUP[]fcj H QR[]O [SX H MeJIacutebLjehYUPJ H [WNih^YiexclNZaringQcOQZIacutejZ [SX H MeJTbnhdQ H JLhQR[]OO^ JeumlbLNPO NPfcY[hZJZaringNihY` H MN H H MeJUPJUfR[BbLQ H m[SX H MeJ bn[]O H []jhQsOa macr]j bLNPOcentEgraveJ K=[]YQ H QVUPJ[PharingOeJ[]N H QVUPJS^|MQcYaeligNPO QcO H JLhZJUY H QcO[eumlKh[PK=JLh H mOacute[SXiexclhZJ[]QR[]OWVcent-NPYJU^NPb H QVUPJ bn[]O H []jehY^ q O H MeJ bn[]O H hNihYm H [ centEgrave[]jO^NihYmVcentNPYJU^7NPb H QVUPJ bn[]O H []jehdYehZJ[]Qc[]OWVcentNPYJU^7NPb H QVUPJbn[]O H []jehYOslashNPfcfR[WYZ[]ZOslashJKNih H Ytimes[SX H MeJ bLjehYUPJ H [YZMehQsO`WMQcfRJ[ H MeJLhY(JkWKNPO^O^FMjY H MeJaumlQcOQ H QsNPfcQVcurrenUN H QR[]O QcYfRJUYYbn[]OY H hNPQsOeJU^O^^ macr^iexclEacuteltIacuteETHNtildeFETHEacuteshyOacute Eacute10wETH9IgraveumlIgravesup1+shyEacuteltEumlETHETH3EacuteshyOacuterIgrave5euml1ONtildeFETH32EacuteltOacute0EacuteltEgravexIcircEacuteshyIacute5IgraveIgrave2shyNtildeshyIacuteEumlOgraveIgraveIcirclaquoEacute10C8ltIgraveIcircd=KEgrave(ETHEacuteltEgraveIcircMJu[P[]NPf[SX H MQsY$KNih H QsY H [timesbn[]ZaringKj H J H MeJiexclJUP[]fcj H QR[]O JjN H QR[]Oaring[SX H MeJNPb H QVUPJbn[]O H []jehOcircXiacute[Ph0Y[]ZOslashJ(JkeNSZOslashKfcJUY$[SX-hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhY^SgJ H jY H N`PJY[]ZaringJT^eJUYZbnhQcK H [PhY(^eJLKEgraveJUO^QsO[aelig[]O H MeJyZOslashJUNPOBSOtimesOslash [Phiexcl[]O H MeJgUiNihQcNPObnJjuFtimesOslash [SXH MeJOtildeJUP[]fUBQcOF[OslashhZJ[]QR[]OwOumlcopytimesOslashaagravejaringEFFG FFH SOtimesOslashKaagravejumlaacute iacute $ w$ thorn yuml Otilde atilde auml WiexclQ H M icirctimesOslashaacute w$ thorn yuml atilde aumlu centtimes Oslash aagravejsup1aacute iacute $ w$ thorn yuml aOtilde SOtimes OslashKaagravejj cent atilde auml^ macr^f^iumlordfcentltshyltAringordfregethIumlIgravecurrenRAringcentmicroETHfrac34IumlltlaquomicroRreglaquoNOacute]currenRlaquosectsup1jCcedilR RAringordfregL Rlaquo3shy JTbdMe[B[]YJ H MeJgXiacute[]fcfR[WQcO[OslashYJ H [SX^eJUYbnhQRK H [PhYaring

uuml thorn UgraveUcircUacuteUuml yuml ^e[BJUYOe[ H ^eJLKEgraveJUO^[]Owagraveuuml thorn timesOslash yuml aacutecntildeaLuOcenttimes Oslash j a zSjWMJLhZJampntildeaOgravejQsYNOslashKEgrave[]YZQ H QVUPJiexclXqjOb H QR[]O[SX$bLfcNPYYograve aj^MQcYiexclUPJUfR[WbLQ H mumlUPJUb H [PhOslashQcYaumlbn[]ZaringKj H JU^centmeumlhZJLKfcNPbLQsO[ H MeJ H JLhZaringYauml[SXga jgWQ H MH MeJUQch$JkBKhJUYZYZQR[]OY^ J hY H JkWKhZJUYZY H MeJ^eJUYZbnhQcK H [Ph|uuml thorn timesOslash yuml NPYyNTbn[]ZTcentQsON H QR[]O[SXamp^e[]ZaringNPQcOY(QcO H J[PhdNPfcYaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacutemiddot thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn timesOslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejjaacutecntildeoacute agrave thorn timesOslash yuml aagravejagrave thorn timesOslash yumlcent aagravejfocirc a i]j

uumlnyacutenthornnyumll13YSordmY_FPa

yenKbrvbarsect =4 acirc $ fzWMJLhZJSaring EFFG FFH agrave thorn timesOslash yuml aagravejpoundaacute w$ thorn yuml aOtildegta2atildeltszligaumlj SOtimes OslashaagravejjUcirccent atilde aumlagrave thorn timesOslash yumlcent aagravejpoundaacute w$ thorn yuml atilde auml a h]j O^ H MBjYaring aelig thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacuteacircaOtildeKa2atildeshyszligaumlFj S timesOslash aagravejjUcirccentaelig thorn timesOslash yumlcent a2atildeshyszligaumlKszligYagravej|aacute f ad s j Y5XiacuteNihaumlNPY H MeJOslash^e[]Z NPQcO`QsO H J[PhNPfsYUacute[SX H MeJOslash^eJLhQVUiN H QVUPJaelig[SX H MJXqjOb H QR[]OY aelig thorn timesOslash yumlaumlNihZJaumlbn[]ObnJLhOeJU^OeFWFJauml[Pcent H NPQsOOaringEFFFG FFFH w5$ thorn yuml frac14ltotildeouml $_divideoslashfrac14 atilde aumlordmaacute frac14ltugrave $frac14 w$ thorn yuml aOtildeKa2atildeshyszligaumlFj SOtimesOslashKaagravejj atilde aumlaacute sw5$ thorn yuml frac14ltotilde ouml $_divideacircfrac14 atilde aumlordmaacute s adfjMJ H JLhZaringY eacute thorn timesOslash yumlauml NPfcY[aringMNUPJ H [ cent=Jaumlbn[]ZaringKj H JU^OeNPO^tWNtildeJg[PJ H aringEFFFG FFFH eacute thorn

timesOslash yuml aacute w$ thorn yuml uacute ouml $_divideacircntilde raquo7ucirc uacute ouml $_divideoslashuacute ouml $_divideacircyacuteuuml atilde aumlaacutecntilde raquo aLu centtimesOslash jeacute thorn timesOslash yumlcent aacute w$ thorn yumlBthorn uacute ouml $_divideoslashthorn uacute ouml $_divideacirc yuml acirc ntilde raquo ucirc uacute ouml $_divideoslashuacute ouml $_divideacirc uuml atilde aumlregaacute u centtimes Oslash ntilde raquo aLu centtimes Oslash j

G QsObnJ H MeJOslash^e[]Z NPQcO`QsO H J[PhNPfsYiexcl[SX frac14ltotildeouml $ordfdivideoslashfrac14 NPO^ frac14ltotildeouml $_divideacircfrac14 NihZJaeligJBjNPf H [currenLJLhZ[poundadfjeWFJOtildebLNPO ^QRhZJUb H fVm bn[]ZOslashKj H J H MeJiexclUPJUfR[WbLQ H mregUPJUb H [Ph[SX H MeJOtildeNPb H QVUPJTbn[]O H []jehuXiacutehZ[]Za macr]jNPO^WNtildeJyO^Oaringaelig Yacuteaagravejaelig agrave aacuteuumlgtthorn timesOslash yuml uumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn otilde)yuml dacute uumlgtthorn otilde)yuml eacutentilde raquo aLu centtimes Oslash jaaOtilde SOtimesOslashj cent u centtimesOslash jcedilQeacute ad j5Otad jeOgraveWFJbLNPOaringhJZaringNihY` H MeJ(KhZJUYJUObnJ[SX H MJNP^^Q H QR[]ONPf H JLhlZntilde raquo aLuOcenttimesOslash jaaOtilde SOtimesOslashj cent u centtimesOslash jeacuteacirc^^ macr^ ^iumlordfcentltshyltAringordfregethIumlIgravecurrenRAringcentmicroETHfrac34IumlltlaquomicroRreglaquoNOacute]currenRlaquosectsup1jpoundn Rlaquo JTbdMe[B[]YJ H MeJgXiacute[]fcfR[WQcO[OslashYJ H [SX^eJUYbnhQRK H [PhYaring uuml thorn UgraveUcircUacuteUuml yuml ^e[BJUYOe[ H ^eJLKEgraveJUO^[]Owagraveuuml thorn timesOslash yuml aacutecntildeaOtilde S timesOslash aagravejj adS]j

uumlnyacutenthornnyumll13YSordmY_FPo

fi $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJampntildeaOgravejQsYNOslashKEgrave[]YZQ H QVUPJiexclXqjOb H QR[]O[SX$bLfcNPYYograve aj^ YKhZJUWQR[]jYZfVmSe H MeJlaquoUPJUfR[WbLQ H mfrac34UPJUb H [PhTQcYbn[]ZOslashKj H JU^eumlcentmhZJLKfsNPbLQcO[ H MJ H JLhZaringY[SXua jcopyWQ H M H MeJUQRh(JkWKhZJUYZYZQc[]OY^FMeJauml^JUYZbnhQRK H [Ph uuml thorn timesOslash yuml QcY(JkWKhZJUYZYJU^centmKaringuuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacutei thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn times Oslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejjaacutentildeoacuteOtilde agrave thorn timesOslash yuml aagravejagrave thorn timesOslash yumlcent aagravejfocirc adj

WMJLhZJSaring EFFG FFH agrave thorn timesOslash yuml aagravejpoundaacute w5$ thorn yuml Otildegta2atildeltszligaumlj atilde aumlagrave thorn timesOslash yumlcent aagravejpoundaacute w5$ thorn yuml atilde auml adSmacr]j O^ Y[aring aelig thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejOcircaacuteegraveOtildegta2atildeltszligaumljaelig thorn timesOslash yumlcent a2atildeshyszligaumlKszligYagravejOcircaacute f adS]jG QsObnJ H MeJordfXiacutejOb H QR[]OY aelig thorn timesOslash yuml NPO^ aelig thorn timesOslash yumlcent ^e[aringO[ H ^eJLKEgraveJUO^[]OtagraveeFWFJTMNUPJSaringEFFFG FFFH w$ thorn yuml frac14ltotilde5ouml $ordfdivideoslashfrac14 atilde aumlregaacute s

w$ thorn yuml frac14ltotilde5ouml $ordfdivideacircfrac14 atilde aumlregaacute s ad]zSjMJ H JLhZaringY eacute thorn timesOslash yumlauml NihZJ H MJUObn[]ZOslashKj H JU^eNPO^WFJauml[Pcent H NPQcOOaringEFFFG FFFH eacute thorn

timesOslash yuml aacute w$ thorn yuml thorn uacute ouml $ordfdivideacircntilde raquo7ucirc Otilde uacute ouml $ordfdivideoslashuacute ouml $ordfdivideacircyacuteuuml atilde aumlaacute thorn iacute $ w$ thorn yuml ntilde raquo aOtilde SOtimesOslashj atilde aumleacute thorn timesOslash yumlcent aacute w$ thorn yuml uacute ouml $ordfdivideoslashthorn uacute ouml $_divideacirc yuml acirc ntilde raquo ucirc Otilde uacute ouml $ordfdivideoslashuacute ouml $ordfdivideacirc uuml atilde aumlordmaacute ugrave $iacute $ w$ thorn yuml ntilde raquo aOtilde SOtimesOslashj atilde auml JUacutebLNPO H MeJUObn[]ZOslashKj H JUacute^QRhZJUb H fm H MJ_UPJUfR[WbLQ H mUPJUb H [Ph[SX H MeJUacuteNPb H QVUPJOtildebn[]O H []jhXiacutehZ[]Zigravea macr]j(NPO^WNtildeJyO^Oaringaelig Yacuteaagravejaelig agrave aacuteuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yumldacute uuml thorn otilde)yuml eacute aOtilde SOtimesOslashjicircFtimesOslash $ thorn yuml ntilderaquo)aOtilde SOtimesOslashjmiddotQeacute adSi]j

5O H MeJtimesKNih H QsbLjfcNihiexclbLNPYZJIacute[SXIcircntildeaOgravejuaacuteOslashScenteKWFJtimesMNUPJnntilde raquo aOgravejcopyaacute NPO^ H MeJLhZJXiacute[PhZJSeH MeJiexclNP^^Q H QR[]ONPf H JLhlZaringYebn[]ZaringQcO[gXiacutehZ[]Z H MeJ UiNihQcN H QR[]O [SX H MeJiexcl^eJUYbnhQRK H [PhYOcircWQ H MagraveeNihJJjNPf H [gcurrenLJLhZ[^[WNtildeJUPJLheWQsOordmZOslash[]Y H bLNPYZJUYe H MQsYyNP^^Q H Qc[]ONPf H JLhlZoslashQsYyOe[ H

uumlnyacutenthornnyumll13YSordmY_FPy

yenKbrvbarsect =4 acirc $ fhcurrenLJLhZ[^ not [PhaeligJkeNSZOslashKfRJSeampQVXUgraventildea]jaacute yuml Wiexcl cent eshyWiexclQ H MN`KEgrave[]YZQ H QVUPJ bn[]OY H NPO H eQWFJMNUPJSaring

ccedil aacuteFuumlgtthorn timesOslash yuml uumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn otilde)yuml uumlgtthorn otilde)yuml eacute aOtilde SOtimesOslashjicircFtimesOslash $ thorn yuml aOtilde SOtimesOslashj IcircAumlaOtilde SOtimesOslashj cent adSh]j^ ^~IacuteFEumlIgraveFIacute5IgraveFOacuteETHNtildeFETHEacuteshyOacuteAgraven13ETH9 ETH9IgraveumlEumlIgravesup1+ltIgraveFEumltIcircIgraveFETHbIacute5IgraveFETH9shyEacute18 YXqNih0NPY H MeJOBjFZOslashJLhdQcbLNPfeQZOslashKfcJZOslashJUO H N H Qc[]OtimesQsYybn[]ObnJLhOeJU^eSWNtildeJbLNPOZOslash[W^eJUf H MeJNPb H QVUPJaumlbn[]O H []jeh_WQ H MNPOJkBK-fcQcbLQ H KNihNSZOslashJ H JLhdQVcurrenUN H QR[]ObaN[PhNPO[]QcNPOXiacute[PhlZtimesjfcN~VH QR[]OKjaelig[Ph NPO QCZOslashKfcQcbLQ H []OeJraNtildejfRJLhQsNPO Xiacute[PhlZIacutejfcN H QR[]Ogtj^ G JLJra G J H MQcNPOOe5fhSh s jNPO^egraveaJUfcQcO[PJ HH J NPO^ _a[]O H N[]ON H e sSs fjX[PhaeligNPOQcO H JLhZJUY H QcO[eumlbn[]ZOslashKNihdQcY[]OcentEgraveJ H WFJLJUO H MeJ H WNtilde[ZOslashJ H M[B^Y^ iexclO[ H MeJLhOtildeQcO H JLhJUY H QcO[aringhJUBQRJW[]O H MeJtimes^Q=JLhJUO HZOslashJ H M[B^Y[SX$NPb H QVUPJIacutebn[]O H []jehQcY(Kh[PK=[]YZJU^ QcOpoundaw_[]O H N[]ON H J H NPfd^Ve sSs fj^iexclJLhZJSeWFJaumljYJ H MeJaumlfRJUPJUfYZJ H ZOslashJ H Me[W^ NiKKhZ[]NPbdM KhZ[PKEgrave[]YJU^centm q YMeJLhNPO^G J H MQcNPOa q YZMJLh NPO^ G J H MQcNPOe fhSiSi]j centj H hJ[]QR[]OWVcentNPYJU^ NPb H QVUPJeumlbn[]O H []jehdYZaringNmNPfcYZ[ centEgraveJQZOslashKfcJZOslashJUO H JU^7centmjYQcO[`XNtildeV4YK-fcQcOeJUYXiacute[PhaeligNPOJkWKfcQsbLQ H K-NihNSZOslashJnVH JLhQcurrenUN H QR[]O ayhZJUbLQc[]Y[ NPO^XNihfcNPj^Oe sSs fj^shyMJ`PJmeumlQc^eJUN [SX H MeJOslashfRJUPJUfampYJ HZOslashJ H M[B^QsY H [ QcO H hZ[W^jbnJaumlNPO`NPjkWQsfcQcNihYmXiacutejOb H QR[]O l a2atildeltszligaumlgtszligYagravejYZjbdM H MN H YacuteaagravejQcY H MJtcurrenLJLhZ[OacutefRJUPJUfYJ H [SX l ^OcircMJXiacutejOb H QR[]O l QsYaelig[SX H JUO bMe[]YJUO H [centEgraveJ H MeJYZQ[]OeJU^ ^QcY H NPObnJordfXiacutejOb H QR[]O[SXQYacuteaagraveje-NPO^ QsY H MeJUObdMNihNPb H JLhQVcurrenLJU^acentmKaring

YacuteaagravejOcircaacute a2atildeltszligaumljPO l a2atildeshyszligaumlKszligYagravejaacute s a2 s jMQcYOcirc0jfRJLhQcNPOordmXiacute[PhlZtimesjfcN H QR[]O KhZJUYZJUO H YFYJUPJLhNPfEgraveNP^UiNPO H N[PJUYga G J H MQcNPOOeKfhShS]j^not QRhY H fVmSe H MeJabLjehYUPJ l ZaringNmcenthJUN`[PhoZOslashJLhY[PJNPY H MJXiacutejOb H QR[]O l JUP[]fUPJUYeNPO^ H [PK=[]fc[S[]QcbLNPfbdMNPO[PJUYFNihZJ H MBjY$JUNPYZQsfVmOslashMNPO^fRJU^^ G JUbn[]O^fVmSe H MJJUP[]fVUWQcO[XqjOb H QR[]O l a2atildeshyszligaumlKszligYagravejNPfVWNmWY(hZJZaringNPQcOY(NlaquoXiacutejOb H QR[]O NPfcfR[WQcO[timesJltz bLQRJUO H OBjFZOslashJLhVQcbLNPfFYZbdMeJZOslashJUY^OcircMQRh^fVmSe H MeJ[PJL[]ZOslashJ H hQcb KhZ[PKEgraveJLh H QcJUYT[SX H MeJ bLjehYUPJSe$fcQV`PJ H MeJbLjehlU~N H jehJ NPO^ H MeJOslashOe[PhlZ NPfshyUPJUb H [PhordfJUfs^eacute e=bLNPO centEgraveJIacuteJUY H QZaringN H JU^euml^QRhZJUb H fmXiacutehZ[]Z H MeJTfcJUPJUfgYJ H XqjOb H QR[]Oaring aacute V ucirc l l uuml NPO^ eacuteecircaacute l l a2FfjMJJUP[]fsj H QR[]O JBjN H QR[]O H MeJUO centEgraveJUbn[]ZOslashJUYaringaelig l aagravejaelig agrave aacuteegraveccedilacute l a2 jMJregUPJUfR[WbLQ H msup1XiacutejOb H QR[]OxccedilEQcYIacutebn[]ZaringKj H JU^7[]OfVm[]O H MeJbLjehYUPJYacuteaagravejaumlcent-j H WFJbLNPO Jk H JUO^ Q H YFJkBKhZJUYZYZQR[]O H [ H MeJiexclWMe[]fRJUacuteQZaringN[PJOtilde^e[]Z NPQcOoOumlordf^[OslashQZOslashKfRJZaringJUO HH MeJIacutefRJUPJUf9YJ H ZOslashJ H Me[W^OeY[]fsj H QR[]OYuZtimesjY H centEgraveJgXiacute[]jO^ H [ bLQRhbLjZyUPJUO H Kh[PcentfRJZaringY

uumlnyacutenthornnyumll13YSordmY_FP

s $amp)(+-)013021+345627893lt=gt9A6CBbn[]ZaringQsO[ Xh[]Z H MeJpoundXqNPb HH MN H`H MeJYZQV[]OeJU^ ^QcY H NPObnJumlXqjOb H Qc[]O l QcYaOe[ H NY[]fsj H QR[]O[SX H MeJyiexcl a2 jeEgraveYJLJa []ZOslashJUYNPO^ not NPjF[PJLhNPYe sSsSs jyacuteXiacute[Phiexcl^J H NPQcfcY^5Oaelig[]jehWF[PhY`gte H MJuXiacutejOb H QR[]O l QcYamphZJUQsOQ H QcNPfcQcurrenLJU^TY[ H MN H Q H hZJZaringNPQcOYampNOtilde^QsY H NPObnJXqjOb H QR[]OenYZJLJ5aq jecentEgraveJLh H NPO^gcOtilde[PhdOeKhZ[PcentY H e sSs fJLcenthZJUjFUPJSe sSsSs jOXiacute[Ph^J H NPQcfcY[]O H MJOtildehZJUQcOQ H QsNPfcQVcurrenUN H QR[]O JBjN H QR[]OO^5Oeuml[Ph^eJLh H [QCZOslashKhZ[UPJaringOjFZaringJLhQcbLNPfJltz bLQRJUObmSeOWFJaringbn[]ZOslashKj H J H MeJOslashJjN H QR[]O[]O NIacuteONihhZ[Wcent-NPO^aringJUObLfc[]YZQcO[ H MJiexclfRJUPJUf s [SX H MeJUacutefRJUPJUf-YJ H XqjOb H Qc[]OO^ JUacuteNPfcY[jYZJZtimesjf H QRhZJUYZ[]fcj H QR[]O H JUbdMOQBjeJUYcentmZaringN`BQsO[ H MeJFNPb H QVUPJ(bn[]O H []jh$JUP[]fVUPJcopyhY H[]ONOslashfc[W hZJUYZ[]fcj H QR[]O QZ N[PJS^FMeJordfONPfbn[]O H []jeh[Pcent H NPQcOeJU^Xiacute[Ph H MQcYhJU^jbnJU^QZ N[PJaumlQcY H MeJUOjYJU^ NPYNPOQsOQ H QcNPfEgravebLjehYUPJordfXiacute[Ph H MJOtildehZJUNPfgYZQVcurrenLJaumlQCZaringN[PJS^

EparaacuteAgravegtmicrosup1acuteIKJcedilJT2MgtI MraquowMgtmicrosup1MAgravegtacuteIltacuteMgtPltAtilde iquest acuteAgravegtT2MKIshyAtildeAcirccedilAtildeacuteNicircMgtI cedilAEligMgtmicroOcircacuteOgraveJTCJT13MKI sup2OcircacuteJordfsacuteacuteI Jfrac14ltacutegcedilFLT2cedilIshyROgraveacuteAtilderaquoAMLBqoLacute13AtildeR]cedilsup32acute GmicrobcedilAgraveacuteAtilde5O H MQcYUacuteYJUb H QR[]OOeOWFJOslashKhZ[PKEgrave[]YJaeligY[]ZOslashJOslashhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhY H [YJ[iVZOslashJUO H M[]ZOslash[S[PJUOeJL[]jYiexclhZJ[]QR[]OYiexcl[]Ofrac34[PhZJmBYbLNPfRJIacuteQZ N[PJUY^gtMJUYJIacute^eJUYbnhQRK H [PhYiexclNihZJcentNPYZJU^[]O H MJZaringQcOQZaringQVcurrenUN H QR[]O [SX H MeJU~NihdQcNPObnJUYauml[SX H MJ H WF[`bn[]OYZQc^eJLhZJU^OacutehZJnV[]QR[]OY^ 5O H MJ7YJUbn[]O^ K-Nih H e H MJQZOslashKEgrave[Ph H NPObnJOacute[SX H MeJNP^^Q H QR[]ONPf H JLhZaringYebn[]ZaringQsO[XiacutehZ[]Z H MeJiexclU~NihdQcN H QR[]O [SX H MeJUacute^eJUYZbnhQcK H [PhYWQ H M H MeJiexclJUP[]fUBQcOF[IacutehZJ[]Qc[]OYeQcY9MQV[]MfcQ[]M H JU^O^ G QCZOslashKfRJJkWNSZaringKfRJUY9YMe[W H MeJ0QZOslashKEgrave[Ph H NPObnJ$[SX H MeJUYJ0NP^^Q H QR[]ONPfH JLhlZ Y H [ NPbMQRJUPJ H MeJOtildeJkWKEgraveJUb H JU^aYJ[]ZaringJUO H N H QR[]O^^f^laquoIgraveIcirc=KEgrave(FETHOEacuteltEgraveIcircEcircgtNtildeltIcircIgrave8 EacuteshyOacute ETH9Igravek+NtildeshyEgrave13NtildeshyOacute=KIgraveC0EacuteshyEgraveh4ltEgraveOIgravesup1QIcirc=NtildeltEumlOgraveIgrave2Iacute Ntilde4ltIgraveIcircMJQcO H JUOYZQ H mregXiacute[Phu[PhZJmWYZbLNPfRJaumlQZ N[PJUY(QcYhZJLKhZJUYZJUO H JU^centm NlaquoXqjOb H QR[]OOtilderegaringOgraveOumlOtilde 13ordfcentwntilde Otilde 13laquo^ JaKhZ[PKEgrave[]YJ H [bZaringQcOQZaringQVcurrenLJ H MeJU~NihdQcNPObnJUYOslash[SX H MeJ H WF[bn[]OYZQc^WVJLhZJU^ Me[]Zaring[S[PJUOeJL[]jY hZJ[]Qc[]OY QcO [Ph^eJLh H [YJ[]ZOslashJUO H H MeJZ^uMJXiacute[]fcfR[WQcO[^eJUYbnhQRK H [PhY(NihJaumlYZj[S[PJUY H JU^OaringEFG FH uuml thorn UgraveUacuteUuml yuml aacutecntildeaLuOcentUgraveUacuteUuml juuml thorn times Oslash yuml aacutecntildeaLuOcenttimes Oslash juuml thorn otilde)yuml aacutecb a2Ograve]jWMJLhZJjntildea]jQcYNOslashKEgrave[]YZQ H QVUPJordfXiacutejOb H QR[]O [SX$bLfcNPYZYEacuteograve aOtilde 13yj(NPO^kb`NOslashKEgrave[]YZQ H QUPJaumlbn[]OWVY H NPO H ^MJTbn[]ZOslashKj H N H Qc[]O[SX H MeJUPJUfR[BbLQ H mUPJUb H [PhaumlQcY^JU^jbnJU^tXiacutehZ[]Z H MeJIacutebn[]ZOslashK-j H N~VH QR[]O`[SX H MeJaelig^eJLhQVUiN H QVUPJIacute[SX H MeJtimesbnhdQ H JLhQR[]Opoundocirc7^eJUPJUfR[PKEgraveJU^ QcO G JUb^^ macr^feWMQsbMfRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[aeligJUP[]fcj H Qc[]O JjN H QR[]OOaringaelig Yacuteaagravejaelig agrave aacuteethntildeaLu centtimesOslash j ntildeaLu centUgraveUcircUacuteUuml jb ntilderaquo)aLu centtimesOslash jaaOtilde S timesOslash j cent u centtimesOslash j ntilde raquo aLu centUgraveUcircUacuteUuml jaaOtilde SUgraveUcircUacuteUumlj cent u centUgraveUacuteUuml jIcirc13eacute a2Sj

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ fMJiexclYZQcOF[]fRJiexclK-NihNSZOslashJ H JLhcopyWNtildeJOtildeOeJLJU^ H [aringNP^~ZjY H QcY H MeJUacuteYYZOslash[B[ H MQcO[timesKNihNSZOslashJ H JLhb^5OregXqNPb H e H MeJ X [W ethb MNPY H MeJiexclKhZ[PKEgraveJLh H QRJUYNtilde[SXYYZOslash[B[ H MQcOF[IacutecentEgraveJUbLNPjYJOtildeQ H ZOslash[UPJUYH MeJUacutebLjehYUPJUacuteQcO H MeJUacute^QRhZJUb H QR[]O [SX9Q H YfRJUOF[ H MregXqjOb H QR[]ONPfQa G Qs^^QBQeJ H NPfd^VeOfhShS]j^^ ^~IacuteEacuteltEgraveETHOgraveNtildeltOacute=KIgravefrac34Eacute10frac34ETH9Igrave Ntilde8182ETHEacuteshyOacuteNtildeshyEumlETHIgraveFEgraveOIacute5Icirc5O[Ph^JLh H [7JU~NPfcjN H J H MeJ QZOslashKEgrave[Ph H NPObnJ`[SX H MeJ`NP^^Q H QR[]ONPf H JLhlZaringYX[Ph H MeJYJ[]ZaringJUO H N H QR[]OeuWNtildeJpoundZaringN`PJ H MJeumlNPb H QUPJbn[]O H []jehaJUP[]fVUPJ H MehZ[]j[]M H MJ iexcla2SjeQsObLfcj^QsO[ H MeJaumlNP^^Q H QR[]ONPf H JLhlZaringY^ q O H MeJUacute[ H MeJLhMNPO^OeWNtildeJaumlNPfcYZ[ZaringN`PJQ H JUP[]fUPJfrac34WQ H M H MeJwXiacute[]fcfR[WQcO[ WhZ[]OF[JUP[]fcj H QR[]OJjN H Qc[]O H MN H ^e[JUY Oe[ HQcObLfcj^eJ H MeJaumlNP^^Q H QR[]ONPf H JLhlZaringYaringaelig Yacuteaagravejaelig agrave aacuteethntildeaLu centtimesOslash j ntildeaLu centUgraveUcircUacuteUuml j`b Qeacute iuml a2Ogravemacr]jnot [Ph H MeJOtildeJkWKEgraveJLhQZOslashJUO H YeWFJ H N`PJntildeaOgravejOcircaacute ILK KafcediliexclOgravejWMQsbM[]QVUPJUYntilde raquo aOgravejaacutefdOafcedil]j(NPO^ H MeJgUiNPfcjeJOtilde[SX H MeJaumlKNihdNSZOslashJ H JLhEacutebaQcY(YJ HH [frac34f s ^OcirckBKEgraveJLhQCZOslashJUO H Y NihZJ KEgraveJLhYX[PhZOslashJU^ []O NYmWO H MJ H Qcb`QCZaringN[PJumlZaringNP^eJeumljeK [SXTNPO

Me[]Zaring[S[PJUOeJL[]jYYYBjNihZJ[SX9QcO H JUOYZQ H mwf s []O NIacutecentNPbl`[PhZ[]jO^ [SX9QcO H JUOYZQ H mtf s ^ []NPjYZYZQsNPOOe[]QcYJUacute[SXUiNihQcNPObnJ s QcY(NP^^eJU^ H [ H MQcY(YmWO H MJ H QcbOtildeQZaringN[PJS^MeJOtildeJUP[]fcj H QR[]Oa[SX H MeJTNPb H QVUPJtimesbn[]O H []jehUacute^ehQUPJUOcentmpounda2SjQcYu[]QVUPJUO`QcO not QV[^ WMQcfRJ H MeJ[]OeJ`[Pcent H NPQcOeJU^ jYZQcO[ a2Ogravemacr]j QcYordm[]QUPJUO QcO not QV[^ ^ J bLNPO hZJZaringNihY`H MN H WMeJUO H MeJoiexclQsObLfcj^eJUY H MJ NP^^Q H QR[]ONPf H JLhZaringYe H MJ YYBjNihZJ QcYgWFJUfcfYJ[]ZaringJUO H JU^acirca not QV[^ ^bjeuWMeJLhJUNPYWiexclMeJUO H MeJ |iexclD^e[BJUY Oe[ H QsObLfcj^eJ H MeJUYJNP^^Q H QR[]ONPf H JLhZaringYwWFJ7[Pcent H NPQcO N bLQRhbLfcJOacuteQcOY H JUNP^ [SX H MeJ7JkBKEgraveJUb H JU^YYBjNihZJa not QV[^ ^bj^MeJUYJhZJUYZjf H YNtildebLNPOcentEgraveJcentEgraveJ HH JLh(jO^eJLhY H [[W^WMQcfRJNPONPfmcurrenUQcOF[ H MeJiexclUPJUfR[WbLQ H mUPJUb H [PhYUacute[SXNtildeJUNPbMJUP[]fsj H QR[]O JjN H QR[]OO^ Jaringbn[]ZOslashKNihZJ H MeJ H WF[ JUP[]fcj H QR[]OYiexcl[SXH MeJlaquoUPJUfR[WbLQ H mwUPJUb H [PhYauml^jehQcO[ H MeJaeligKhZ[PKN[]N H Qc[]Oeuml[SX H MeJOslashbLjehYUPJwa2WiexclQ H Me[]j HH MeJcentEgrave[]jO^NihYmVcent-NPYJU^ H JLhlZb j^MeJ(JUP[]fcj H Qc[]OOslash[SX H MeJNSZOslashKfsQ H j^eJ[SX H MeJyacuteUPJUfR[Wb|VQ H mregUPJUb H [Ph[SXQ|iexcla2SjFQsY[]QUPJUO QcO not Q[aqYj^ ^ ^OecurrenJSe Xfrac34]eWMQsfRJ H MeJOtildeNSZOslashK-fcQ H j^eJ[SX H MeJUPJUfR[WbLQ H mwUPJUb H [PhOtilde[SX||iexclacirca2Ogravemacr]jiexclQcY []QUPJUO`QcO not QV[aqYj^ ^ ^OecurrenJSe Xfrac34]^ JOslashbLNPO[PcentYZJLhYUPJ H MN HaringH MeJUPJUfc[BbLQ H msup1WiexclQ H Me[]j HaeligH MeJNP^^Q H QR[]ONPf H JLhlZaringY QcYaeligNbn[]OY H NPO HWMJLhZJ [PcentUWQR[]jYfVm H MJaQZaringN[PJfrac34XJUN H jehJUY ^e[OacuteO[ H NiKKEgraveJUNih^ q O H MeJabn[]O H hNihYmH MeJaumlQCZaringN[PJordfXJUN H jhZJUYuWFJUfcfNiKKEgraveJUNihQcO H MeJordfUPJUfR[WbLQ H m QcObLfcj^QcOF[ H MeJaumlNP^^Q H QR[]ONPfH JLhlZ Yya not QV[aqYj^ ^ ^OecurrenJSe Xfrac34jiexclNPO^ Y[ H MeJaumlYljNihJTbLNPO centEgraveJordfWNtildeJUfsfYJ[]ZOslashJUO H JU^O^MeJyKhZJUWQR[]jYEgravehJUYZjf H YgYMe[W H MN H Q H QcY[SXeKhQCZOslashJ$OeJUbnJUYZYZQ H m H [ H N`PJQcO H [NPb|Vbn[]jO H0H MJNP^^Q H QR[]ONPf H JLhZaringYeWbn[]ZaringQcO[XhZ[]Z hZJ[]QR[]OeV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhYeQcO[Phd^eJLh H [ hZJUNPbdMaN H hdjeJgZaringQcOQCZIacutejFZ [SX H MeJaumlbnhQ H JLhdQR[]OO^

uumlnyacutenthornnyumll13YSordmY_F

S $amp)(+-)013021+345627893lt=gt9A6CBEIumlparaacuteAgravegtmicrosup1acuteIKJcedilJT2MgtI MraquoordfAEligMgtsup32MLwMKmicrobMgtAgraveacuteIshyacuteMgtPltAtilde iquest acuteAgraveKT13MKIshyAtildeAcirclaquocedilFAtildeacuteNicircMKIJfrac14ltacutepoundAEligMAringcedilFLT2cedilIltR]acuteHcedilJLTOcircfrac12sup3T13ROgravecedilJT2MgtI JMAgraverltcedilFR]acuteacuteJacuteR]JT2MgtIicircT2ItT2NQacuteM paraacutePshyacuteIltR]acuteAtildeMQcY0K-Nih H ^eJUNPfcYWQ H M H MeJOtildeYJ[]ZOslashJUO H N H QR[]O [SXMe[]ZOslash[S[PJUOeJL[]jY(hZJ[]QR[]OYQcOZtimesjfuVH QcYZK=JUb H hdNPfQZaringN[PJUY^ YNPOaJkWNSZaringKfRJSeWFJIacuteYZMe[W H MN HiexclH MeJTbn[UiNihQcNPObnJZaringN H hQVkbLNPOacent=JIacuteNUPJLhYm KEgrave[WFJLhYXqjf H [B[]f H [ YJ[]ZOslashJUO H Me[]Zaring[S[PJUOeJL[]jYbn[]fR[PhiexclhJ[]QR[]OY^F5OXqNPb H e H MeJtimes^eJ H JLhlZaringQsONPO H [SX H MeJTbn[U~NihQsNPObnJZ N H hQkKhZ[UPJUY H [ centEgraveJIacuteNaringhJUfRJU~NPO Hbn[]fR[PhaelighZJ[]Qc[]O7M[]ZOslash[S[PJUOeJUQ H msup1ZOslashJUNPYZjhZJZOslashJUO H a G NPO[SWQcOeJ NPO^r[PhdOeJSeufhShSi]j^_`QcOQZ QVcurrenUQcO[ H MQcYjNPO H Q H m ZOslashJUNPOY H MN H WFJwWNPO HH [^eJUbnhZJUNPYJ H MeJeumlbn[]ZaeligVKfcJkWQ H m[SXUacuteNeumlhZJ[]QR[]Oa hdNmJ H NPfd^Ve sSs fampN H JUjke sSsSs j^MQcY H [B[]fuZaringNmKhdNPb H QcbLNPfcfVm cent=JaumljYJU^X[Ph XiacuteNPbnJtimes^eJ H JUb H QR[]OaQsO QZaringN[PJaumlYJBjeJUObnJUY^macr^f^laquoIgraveIcirc=KEgrave(FETHOEacuteltEgraveIcircEcircgtNtildeltIcircIgrave8 EacuteshyOacute ETH9IgraveAgrave=Eacute3+NtildeshyEgrave13NtildeshyOacute=KIgravefrac34Iacute_NtildeFETHEgraveEcirc20EacuteshyEgrave=EacuteshyEumlEacuteshyEgrave2Iacute Ntilde4ltIgraveIcircMJQcO H JUOYZQ H mxXiacute[Ph bn[]fR[Ph QCZaringN[PJUYaringQcYOslashhJLKhZJUYJUO H JU^centm7NpoundXiacutejOb H QR[]OOtildeegravearingOumlOtilde 13ordfcent ntilde Otilde 13 WMeJLhZJ Otilde aacute Otilde szligYOtildeOgravecentszligYOtilde13ordf ^iexclXm NPONPfR[S[SmAumlWQ H M H MeJOacuteY H j^Fm Xiacute[Ph[PhZJmWYZbLNPfRJFQZaringN[PJUYeWNtildeJZaringQcOQCZaringQVcurrenLJ H MeJNtilde^J H JLhlZaringQcONPO H [SX H MeJFbn[UiNihQcNPObnJcopyZaringN H hQVk[SX H MeJTbn[]OYQc^eJLhZJU^hZJ[]Qc[]OY^ J5ZaringNmaringNPYYZjFZOslashJ H MN H JUNPbdM bn[]fR[PhFhZJ[]QR[]Oacute13 QsYOcircZOslash[W^eJUfcfRJU^OslashcentmOslashNg[]NPjYYZQcNPO^QsY H hQRcentj H QR[]Oeuml[SXyacuteZOslashJUNPOiexclSegraveaacute S szligPS cent szligPS NPO^7bn[UiNihQcNPObnJZ N H hQk5^MeJKh[PcentNicentQcfcQ H maring^eJUOYQ H moXiacutejOb H QR[]O QcYu[]QUPJUO centm H MeJgXiacute[]fcfR[WQcO[aeligJkWKhZJUYZYQR[]OOaring

$ampamp aOtildejOcircaacute fa )( j +cent aq^J H ayacutejj cent JkWK- f aOtilde Sltj thorn aOtilde Sltj a2Ograve]jG [eZaringQcOQZaringQVcurrenUQcOF[ H MJbn[U~NihdQcNPObnJuZaringN H hQktimes^eJ H JLhlZaringQcONPO H [SX-NPOtimesJUP[]fVUWQcO[hJ[]QR[]ONiKKEgraveJUNihY H [OslashcentEgraveJNtimeshZJUfcJU~NPO HH [[]f H [ordmZaringN`PJ H MQcYFhZJ[]Qc[]O bn[]OUPJLhY[PJ H [WFNih^Y H MeJbLfR[]YZJUY H Me[]ZOslash[S[PJUOeJL[]jYbn[]fR[PhiexclhZJ[]QR[]OO^9J H jY$Oe[ H J timesOslash NPO^0copyUgraveUcircUacuteUuml H MJbn[UiNihQcNPObnJ5ZaringN H hQcbnJUYy[SX=hJUYKEgraveJUb H QVUPJUfVmordmOuml timesOslash aagravejNPO^tOuml UgraveUacuteUuml aagravejaring

atilde aacute213 u Patilde u centatilde u atildeu cent atilde u centcentatilde u cent4atildeu5 atilde u5centatilde u54atilde67 a2zSj

WMJLhZJSaringEFFG FFH u times aumlatilde aacute iacutefaring w aring thorn yuml aOtilde times S times atilde jaOtilde auml S auml atilde j atilde aumlS times atilde aacute iacutefaring w aring thorn yuml Otilde times a2atildeltszligaumlj atilde auml WQ H M aacuteiVIgraveOacute[Ph Kf5

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ J [PcentUWQR[]jYZfm`MNUPJacuteu times aumlatilde aacuteu auml timesatilde ^shy9J H jYaumlO[ H J ^eJ H a atilde j H MJ ^eJ H JLhlZaringQsONPO H [SXH MeJaumlbn[U~NihdQcNPObnJZ N H hQkWiexclMQcbMJkBKhJUYZYZQR[]O QcY H MJgX[]fsfR[WQsO[aring

^eJ H a atilde jumlaacute u Patilde u centcentatilde u 4atilde u centatilde u atilde u cent4atilde u Patilde u cent4atilde u cent4atilde u centcentatilde u atilde u atilde u 4atilde u centatilde u centatilde a2Ogravei]jnot jOb H QR[]OY [SX H MeJeumlbn[UiNihQcNPObnJpoundZaringN H hQk ^eJ H JLhZaringQcONPO H YNihZJ jYJU^ NPY hJ[]QR[]O^eJUYbnhQRK H [PhY^ JIacutebMe[B[]YJ H MJordfX[]fcfc[WQcOF[aeligYZJ H [SX$^eJUYZbnhQRK H [PhYaringEFG FH uuml thorn UgraveUcircUacuteUuml yuml aacute98ordfaq^eJ H acopyUgraveUcircUacuteUumlAjjuuml thorn timesOslash yuml aacute98ordfaq^eJ H a timesOslash jjuuml thorn otilde)yuml aacuteOslashb a2Ograveh]jWMJLhZJ8ordfaOgravejFQcYNOslashKEgrave[]YZQ H QVUPJiexclXiacutejOb H QR[]O [SXampbLfcNPYZYograve aOtilde 13yjFNPO^Cb`NOslashKEgrave[]YZQ H QVUPJOtildebn[]OWVY H NPO H ^gJ H jYNtildeOe[W WhQ H J H MeJJUP[]fcj H Qc[]OaringJBjN H QR[]O [SX H MeJiexclNPb H QUPJbn[]O H []jehcentmbn[]ZOslashK-j H QcO[ H MJIacute^QEgraveJLhZJUO HH JLhlZaringYiexcl[SX_a j^J H NPQcfcYiexcl[SX H MeJIacutebn[]ZaringKj H N H QR[]O bLNPOcentEgraveJgXiacute[]jO^QsOaNiKKEgraveJUO^QVk X5^gtMJaumlJUP[]fcj H QR[]O`JBjN H QR[]O[SX H MJIacuteNPb H QVUPJaeligbn[]O H []jhQcY H MJgX[]fsfR[WQsO[aringaelig Yacuteaagravejaelig agrave aacute8gaq^eJ H atimesOslashjj 8ordfaq^eJ H a UgraveUcircUacuteUuml jj`b admacr s jlt8Icircraquodaq^eJ H a times Oslash jgt= ccedil A B egrave aOtilde S timesOslash jaOtilde B5 S BtimesOslash jB^eJ H aDC EBtimesOslash ja fj BGFH amp^eJ H atimesOslashj48 raquo aq^eJ H atimesOslashjj 8Icircraquodaq^eJ H a UgraveUacuteUuml jgt= ccedil I B egrave aOtilde Eacute S UgraveUcircUacuteUuml jaOtilde B S BUgraveUcircUacuteUuml jB^eJ H aDC JBUgraveUacuteUuml ja fj BKFH amp^eJ H a UgraveUcircUacuteUuml j48 raquo aq^eJ H a UgraveUcircUacuteUuml jjcedil13eacuteMJZaringN H hdQkLC JBatilde QsY ^JU^jbnJU^icircXh[]Z H MJeumlbn[U~NihdQcNPObnJbZaringN H hdQkM atilde centm YZjeKeVKhJUYZYZQcO[ H MeJ uuml UumlON hZ[WENPO^ H MeJ I UumlON bn[]fcjFZaringO^MeJeumlfcNPY H Xiacute[]jeh fsQcOeJUY [SX H MeJJBjN H QR[]ONihZJ H MeJOtildeNP^^Q H QR[]ONPf H JLhZaringY(bn[]ZaringQcO[XiacutehZ[]Z H MeJiexclU~NihQsN H QR[]O [SX H MeJOtilde^eJnVYZbnhdQRK H [PhYWiexclQ H Mordmagrave^ Y0Q H MNPYycentEgraveJLJUOOslashKhJUBQR[]jYZfVmTKhZ[UPJU^X[Ph[PhZJmWYZbLNPfRJiexclQCZaringN[PJUYeH MeJUYZJ H JLhlZaringYMNUPJ H [ cent=Jaumlbn[]OYZQc^eJLhZJU^ QsO[Ph^eJLh H [regZ N`PJ H MeJTNPb H QUPJTbn[]O H []jhbn[]OUPJLhY[PJ H [WFNihd^YNZ QcOQZtimesjFZ [SX H MJTbnhQ H JLhQc[]OO^macr^ ^~THORNUgrave2FIgraveFEgrave2Iacute_IgraveFOacuteshyETHOgraveNtildeshyEumlEgraveOIgraveIcircdEumlETHOIcircnot [Ph H MJ JkWKEgraveJLhQZOslashJUO H YeQWNtildeJ H N`PJCntildea]jordmaacute ILK Kaf[]jgWMQsbMsup1[]QVUPJUYnntilde raquo aOgravejaacutefdOafWOgravej(NPO^8ordfaOgravejaacute ILK KafIcirch cent juWMQcbdMt[]QVUPJUY8 raquo aOgravejaacute ETHOafIcirch cent j^ JbdMe[[]YZJ bbaacute f s ^QMeJaringbn[]fR[PhtimesYKNPbnJ YJUfcJUb H JU^QcYaQPszlig l szligicirclaquojeltWMeJLhZJwaOtilde aacuteRPordmjhZJLKhZJUYJUO H Y H MeJfsjFZaringQcONPObnJNPO^waOtildeOgravecent5aacute l j$NPO^frac34aOtildeS aacuteOslashicircj$hZJLKhZJUYJUO HyH MeJ H WF[bdMehZ[]ZaringQcONPObnJUY^ not [Ph H MeJbn[]ZaringKj H N H QR[]OOslash[SX H MeJuUiNihQcNPObnJSei[]Ofm H MeJfcjZaringQcONPObnJQcY(jYJU^O^

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CB5Oaring[Phd^eJLh H [aeligYJ[]ZOslashJUO H NPO Me[]ZOslash[S[PJUOJL[]jY0hJ[]QR[]OOeOgraveWFJiexclY H Nih H WQ H M NPO QcOQ H QcNPf

bLjehlUPJ0QcOYZQs^eJ H MJ0hZJ[]QR[]Oauml[SXWQsO H JLhZJUY H ^MeJybLjhYUPJ0QcY H MJUOTYZjeKK=[]YZJU^ H [JkWKNPO^jO H Qcf(Q H hJUNPbMeJUY H MeJ centEgrave[]jO^NihlmOacute[SX H MeJabn[]ObnJLhdOeJU^ Me[]Zaring[S[PJUOeJL[]jYaringhJ[]QR[]OO^MJtimesbLjehlUPJtimes^e[BJUYUacuteOe[ H [P[cent=JmP[]O^ H MJUYJaeligcent=[]jO^NihQRJUYiexclYZQcObnJSe=[UPJLh H MeJLhZJSe H MeJbnhQ H JLhQR[]OOacuteQsObnhZJUNPYJUYtimescentEgraveJUbLNPjYJ H MeJU~NihdQcNPObnJOcircu centtimesOslash [Ph H MeJ bn[U~NihdQcNPObnJtZaringN H hQVk^eJ H JLhZaringQcONPO H ^eJ H atimesOslashjUcirccentOtildeQsObnhZJUNPYJS^MeJaringNPfV[P[PhQ H MZEcentNPYJU^[]O H MeJ bn[UiNihQcNPObnJZaringN H hQVkeumlQcYaumlK=JLhlX[PhlZaringJU^euml[]ONPOQZ N[PJ [SX H MeJUBQs^eJL[`YJBjeJUObnJrnN`WQVmP[]peumlQcO[Ph^JLh H [euml^eJ H JUb HaeligH MeJYKEgraveJUN`PJLhUTYXqNPbnJS^gtMJaumlJUP[]fcj H QR[]O[SX H MJIacutebLjehYUPJIacuteQcYu[]QVUPJUO QcO not QV[^ macr^gtMeJTbn[]O H []jehiexclJUP[]fUPJUYH [ONPfcfVmbn[]OUPJLhY[PJaelig[]O H MeJIacutecent=[]jO^NihQRJUY[SX H MJyXqNPbnJa not QV[^ macr^bj^OMeJyXiacuteNPbnJaeligQcYH MeJUONPbLbLjehdN H JUfVm YZJ[]ZOslashJUO H JU^^FMeJUacuteNSZOslashKfcQ H j^eJ[SX H MeJiexclUPJUfR[BbLQ H m QsYFNPfsY[laquo[]QVUPJUOQcO not QV[aqYj^ macr^ ^OecurrenJSe Xfrac34jNPO^WNtildeJUacutebLNPO [PcentYJLhYUPJ H MN HFH MeJ5XiacuteNPbnJUacutehZJ[]QR[]O QcYUPJLhYmWFJUfcf^eJUfsQZaringQ H JU^regXhZ[]Z H MJ[ H MJLhhZJ[]QR[]OY^MJ5UPJUfc[BbLQ H m[]QUPJUO QcO not QV[aqYj^ macr^ ^OecurrenJSe XQcObLfcj^eJUY H MeJNP^^Q H Qc[]ONPf H JLhlZaringYFbn[]ZaringQcOF[yXiacutehZ[]Z H MeJ5UiNihQcN H QR[]O [SX H MeJiexcl^eJUYbnhQRKeVH [PhY5WQ H Magrave`centj H ^e[BJUYOtildeOe[ H QcObLfcj^eJ H MeJaeligcentEgrave[]jO^NihlmVcentNPYZJU^ H JLhlZ WMQcbMeumlQcYUacuteNYYZaring[[ H MQsO[ H JLhlZ^KMeJtimesNSZOslashKfcQ H j^eJOtilde[SX H MeJyUPJUfc[BbLQ H maQcYiexclOe[PhlZaringNPfcQcurrenLJU^ centEgraveJ H WFJLJUOs NPO^ macrSmacre$YZjbdM H MN HTH MeJ OeJ[]N H QVUPJoU~NPfcjJUYIacuteNihZJ fR[WFJLh H MNPO f i`NPO^ H MeJKEgrave[]YZQ H QUPJ[]OJUYNihZJTMQ[]MeJLh H MNPOpoundf i^ J bLNPObn[]ZaringKNihZJ H MJ QcOQ H QsNPfUPJUfR[BbLQ H m[Pcent H NPQcOJU^jYZQcOF[ H MeJ bn[U~NihQsNPObnJZaringN H hdQk admacr s juWQ H M H MeJOtilde[]OeJOtilde[Pcent H NPQcOeJU^jYQcO[ H MeJordfUiNihQcNPObnJrega2Sj^KMeJordfXqNPbnJTQcYOe[ H WNtildeJUfsf9^eJ H JUb H JU^QcO H MeJUPJUfR[BbLQ H m[Pcent H NPQsOeJU^ajYQcO[ H MeJUiNihQcNPObnJa not Q[^ ^bjWMJLhZJUNPYIacuteQ H QcYIacutehZJUNPfcfmumlWNtildeJUfcfF^eJ H JUb H JU^QsO H MeJQcOQ H QcNPfUPJUfR[WbLQ H m7jYZQcOF[ H MeJbn[iVUiNihQcNPObnJpoundZ N H hQk a not QV[^ ^currencentj^_MeJ UPJUfR[WbLQ H m [Pcent H NPQcOeJU^ jYZQsO[ H MeJumlU~NihdQcNPObnJ^e[BJUYOe[ H NPfsfR[W NPOJltz bLQRJUO H YJ[]ZOslashJUO H N H QR[]O`[SX H MeJyXiacuteNPbnJauml[]O H MeJaumlbn[]O H hNihYm H [H MeJIacutebn[UiNihQcNPObnJlaquoZaringN H hQk^eJ H JLhZaringQcONPO H WMQsbM H N`PJUYUacuteNP^UiNPO H N[PJaelig[SX H MeJtimesbn[]fR[PhQcOFX[PhlZ N H QR[]OO^macr^ ^WVFEumlETH=gtNtildeFETH32EacuteltOacuterETHEacute`0Ntilde=KIgravek8ltIgraveFETHIgrave5=KETH32EacuteltOacute~2Oacute+(8ltIgraveEacute IcircIgrave5euml1IgraveFOacute=KIgraveIcircMJa^eJUYZbnhQcK H [PhYOslashcentNPYZJU^[]O H MJ`bn[UiNihQcNPObnJZaringN H hdQkNihJ`QZOslashK-fRJZOslashJUO H JU^ H [^eJ H JUb H MBjFZaringNPO XqNPbnJUYQcO UWQc^eJL[OacuteYJBjeJUObnJUY^MQsYaring^eJ H JUb H QR[]OegraveZaringNm cent=J`jYJU^Xiacute[PhtUWQc^eJL[ bn[B^QcO[ H [JUObn[W^eJYJUfcJUb H QVUPJUfVm H MeJOacuteMBjFZaringNPOegraveXqNPbnJS^ not [Ph`N []QVUPJUObn[]ZOslashKhZJUYZYZQR[]OOacutehN H QR[e H MeJoXiacuteNPbnJbLNPO7cent=J H hNPOYYZ Q HH JU^bWiexclQ H MN MQV[]MJLhThN H J H [H MeJ^eJ H hdQZOslashJUO H [SX H MeJcentNPbl`[Ph[]jO^O^uMQsY QsO H JLhZJUY H QcO[KhZ[PKEgraveJLh H m QcYUiNPfcjWVNicentfcJuX[PhUBQc^JL[Bbn[]OXiacuteJLhZJUObnJUYe]WMeJLhZJ H MeJ ZOslash[]Y H QZOslashKEgrave[Ph H NPO H NPO^regZOslash[]Y H U~NihdQcNicentfRJQcOFX[PhlZ N H QR[]OQcYfR[WbLN H JU^ []O H MJordfXiacuteNPbnJaq 5ZOslash[]Oe[]j`NPO^tUacutejMNSZaringJUfde sSsSs j^ J QcOQ H QcNPfcQVcurrenLJ H MJhdY H XiacutehNSZOslashJoWQ H M7N`bLQchbLfRJ QsOYZQc^eJ H MeJXqNPbnJ H [ H hNPbY`K^MJUOOeyacuteWFJsup1ZaringN`PJ H MeJNPb H QVUPJ7bn[]O H []jeheumlJUP[]fVUPJjYZQcOF[admacr s jeiexclWQ H MX8ordfaOgravejxaacuteILK KafUgravemiddot cent j^ltMeJregONPfybn[]O H []jehtimes[SX H MeJ bLjehZhJUO H QZaringN[PJ QcY H MeJUOOacutebdMe[]YJUO7NPYNPO QcOQ H QcNPfbLjhYUPJordfX[Ph H MJUacuteOJk H QZaringN[PJS^FMeJOtildeNPfV[P[PhQ H MFZMNPYcentEgraveJLJUOKEgraveJLhYXiacute[PhlZOslashJU^[]OYJUPJLhdNPf$YJjJUObnJUY^MeJaelighZJUYjf H Y5X[Ph H MJaeligYZJjeJUObnJpoundn5JLhQV`p NihJordm[]QVUPJUOQcOnot QV[^ethz^shyMeJaringKNihNSZaringJ H hZJ bMNPYaumlcentEgraveJLJUOYZJ HaumlH [sup1f s ^QMeJordmXqNPbnJ QcYordfWFJUfcfy^J H JUb H JU^NPO^ H hNPbY`PJU^times[]O H MJ|WMe[]fcJyYJjJUObnJS^MJyhZJUYZjf H YOX[Ph H MeJNtildeYZJjeJUObnJnN`WQVmP[]p

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ macrNihZJy[]QVUPJUO`QsO not QV[^ i^ JaeligbMe[B[]YJbaacute s ^ JtimesbLNPO`YJLJ H MN HH MeJXiacuteNPbnJaeligQcYuWFJUfcf^eJ H JUb H JU^aJUPJUOaQVX H MeJaumlbn[]fR[Phiexcl[SXMJLhYZMQRh H QsY(bLfR[]YJ H [ H MJgXiacuteNPbnJIacutebn[]fR[Ph^

YOEAEligMgtIltROgravesup3PshyAtildeT13MKI5O H MQcYKNiKEgraveJLheuWNtildeJKhZ[PKEgrave[]YJN OeJW 0jfRJLhQcNPOAumlZaringQsOQZaringQVcurrenUN H Qc[]OAumlZOslashJ H Me[W^ H [bn[]ZOslashK-j H J H MJUPJUfR[WbLQ H mpoundUPJUb H [Pharing[SXNPONPb H QVUPJ bn[]O H []jeh H MN H JUOYZjehZJUYtimesQ H WQcfcfJUP[]fVUPJ NPYordfXiacuteNPY H NPYOtildeKEgrave[]YZYZQRcentfcJ H [WNih^YIacuteNZaringQcOQCZIacutejFZ [SXN bnhQ H JLhQR[]OeumlQcObLfcj^QcOF[centEgrave[ H MUacutehZJ[]QR[]OeVcentNPYJU^TNPO^OtildecentEgrave[]jO^NihYmVcentNPYJU^ H JLhlZ Y^ q jehgNiKKhZ[]NPbMIacuteQcYcentNPYZJU^Otilde[]OYZMNiK=J[PK H QZaringQVcurrenUN H Qc[]OOslashKhQcObLQRKfRJUY$NPO^ QcYyKEgraveJLhYXiacute[PhlZOslashJU^ QcO H MehZJLJ5ZaringNPQcO Y H JLKYaringf^ltO H hZ[W^jb H QR[]O[SX$NOslash^mWONSZaringQcbLNPfYbMeJZOslashJIacuteQcO H MeJTbnhQ H JLhQR[]OOe ^vF[]ZOslashKj H N H Qc[]Oaelig[SX H MeJ_0jfRJLhdQcNPOaelig^eJLhQVUiN H QVUPJ[SX H MJbnhQ H JLhQR[]OOslashjYZQcO[OtildeYZMNiKEgraveJ

[PK H QZaringQVcurrenUN H Qc[]O H [[]fcYe^vF[]ZOslashKj H N H Qc[]Oa[SX H MeJtimesJUP[]fcj H Qc[]OaJBjN H QR[]O`[SX H MeJaeligNPb H QVUPJtimesbn[]O H []jehiexclXiacutehZ[]ZH MeJT^eJLhQU~N H QVUPJS^

iexcl Ntilde _ cent G NPfcfR[WY H [hJUNP^QcfVm H N`PJNtildeQcO H [NPbLbn[]jO H9H MeJybLNPYJ0[SXBhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H^eJUYbnhQRK H [PhY H MN H NihZJo[]fR[PcentNPfcfVmN HH NPbdMeJU^ H [ H MeJ JUP[]fVUWQcO[ hZJ[]QR[]OYtimesNPO^Y[H MN H UiNihYm^jehQsO[ H MJaumlKhZ[PKN[]N H Qc[]O [SX H MJaumlbLjehYUPJS^ JTYMe[W H MN HH MeJgUiNihQuVN H QR[]O [SX H MeJUYJ^JUYZbnhQRK H [PhdY QsO^jbnJUYNP^^Q H QR[]ONPf H JLhlZaringYQcO H MeJeumlJUP[]fcj H QR[]OJBjN H QR[]Oeuml[SX H MeJaringNPb H QVUPJ bn[]O H []jeh^MJUYJ H JLhlZaringYgZtimesjY H Oe[ H centEgraveJlaquoX[Phl[P[ HH JUOQcO[Ph^JLh H [ hZJUNPbMeumlN H hjeJZ QcOQZtimesjFZ[SX H MeJtimesbnhQ H JLhQc[]OaNPYUacuteQ H MNPYcentEgraveJLJUOKEgrave[]QcO H JU^[]j H QsOJkBKEgraveJLhQZaringJUO H NPfEgravehZJUYjf H Y^

Yfrac34XiacuteNiheumlNPYeumlMe[]ZOslash[S[PJUOeJL[]jYeumlbn[]fR[PheumlhZJ[]Qc[]OY`YZJ[]ZOslashJUO H N H Qc[]OQsY`bn[]ObnJLhdOeJU^OeWFJKhZ[PKEgrave[]YJ H MeJ`bn[U~NihQsNPObnJfrac34ZaringN H hdQk^eJ H JLhlZaringQcONPO H NPY N^eJUYbnhQRK H [Ph^MQcYY H N H QsY H QcbLNPfhZJ[]QR[]OeV4^eJLKEgraveJUO^eJUO H ^JUYZbnhQRK H [PharingNiKK=JUNihdY H [centEgraveJN UPJLhlm7hJUfRJU~NPO HH [B[]fampNPO^eumlY[ Q H MNPYUacutecent=JLJUOeumlYZjbLbnJUYZYXqjfcfVm NiKKfsQRJU^ H [XqNPbnJaring^eJ H JUb H QR[]OQcOfrac34UWQc^eJL[YJBjeJUObnJUY^

iquest acuteraquoacuteLacuteIltR]acuteAtildeagraveIgravefrac14dEcircsup1Atilde5AringiquestLmiddotNtildeIumliquestUumlgIumlUTHORNampAtildeEacutecedilAtilde5AringAcircnAtilde|iquestaacuteIacuteIumlIZEgravefrac14Zcedilfrac12frac14dAringiEcirc]iquestfrac14draquoiEcirc[NtildeIumlagraveAringEacutePAtildecedilwAacute4] uacute_^J^J^ iquest)` igraveraquoLCcedilfrac14cedil4Ecircfrac14draquo~Ecirc(Auml|AringAacuteCcedilfrac14Zcedil4Ecirc

Agrave5AringcedilAcircnAtilde$AtildeAcircnAuml|frac12AringAacutesup1AumldraquoTAringAEligwsup1raquo~ordm(frac12Atilde5AcircnAtilde5frac12AEligwAtildeAacuteampIgrave(Atilde AacuteIcirc~AumlUEcircSaIumligraveraquo13] x4~rv p4PldrRtcoPl|Egraveod5v pv i4vodaumlx4shyl not vsectpqo v tu not Iumlcb$Auml|EacutePAtilde|iquestednfrac14Oumlifrac14draquoIuml

agraveIgrave(Aumldraquo~Auml|Aringiquest~igrave4IumlPfrac14raquoiEcircfWIumliTHORNampAringIcircifrac14Igrave(Atilde5frac12G] divideugrave|ugrave|ugrave iquest` igraveAacuteAtildecedil4frac14ZAacutesup1Acirc|AtildeNtildeEacute~frac14dAgrave4UgraveUCcedilEgravefrac14cedil4EcircUacuteAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoUacuteOgraveregAumldcedilIcirc~sup1Atildecedil4frac14cedilAgrave4Icirc~sup1currenEumlAgravefrac14dfrac12=CcedilEgravefrac14AcircnAtilde5frac12AtildeAacutesup1Igravefrac14ordm|AtildeAgrave5AumlUEcircsup1raquo~ordmIaIumlaeligigraveiacuteraquoS] x4rv p ildrRtcodil|ampod5v pv P4vOtildeodOslashx4shy(l not vFsectpqo v tu not Iumlg frac14raquo~Agrave5AumldAring~AcircnAtildecediliquestehEgravefrac14raquoifrac14|Ecircfrac14Iuml

agraveAringEacutePAtildecedilwAacuteiquest[NtildeIumlWfrac14raquoiEcircifWIuml13b$Aumldcedilraquo~OumlcedilAuml|EacuteAEligqAacute4] divideugrave|ugraveuacute iquestkj ldrregv shy(ldrRtcl|ipwonm5v shyNtildetuOslashtushyl not vampipwo4v tu not sect9ldp4rRtcl|Egravedt lv pv ~rRtRl|9vDm~lrRtcod~ldiTrreg~vUacutel| Uiexcloqnldp4tcldrRtRod~ iquestpoAumlIuml uacute_qEr IumlOslashagrave9Ouml~Oumlfrac12sup1AtildeEcircaacuteUacutefrac14AacuteIcirc~AtildeIgravefrac14Aacutesup1Agravefrac14dfrac12BatildeAgravesup1Atilderaquo~Agrave5Atilde5AElig5iquestPatildeOumlcedilsup1raquoordm|Atildecedil g Atildecedilfrac12frac14dordmIumlhEgravefrac14dAEligwAtilde5frac12frac12Atilde5AElig5iquest g Iumliquest~szlig0Iumleb$sup1Igrave(Igrave(Atilde5frac12Riquestifrac14raquoiEcirc[NtildeIumlatildefrac14dOumlsup1cedilAumlI] uacute_^J^Er iquest`s[Atilde5AumlUEcircAtilde5AEligwsup1AgraveFfrac14dAgraveAacutesup1AcircnAtildeyAgrave5AumldraquoUAacuteAumldAringcedilAElig_aIuml x4~rv p4PldrRtcodPldpoundUodUp4Pl|WoqodshyiUrv paumlumltutcodutet13v uacute+w iquestex uacuteyIrz^ Iuml

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CBh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34LiquestBagraveyIumlWfrac14raquoiEcircidIumlBTHORNampAringraquo~Agravefrac14raquo13] uacute4^z^J^ iquest`[ampfrac14Igrave(AtildeEumlcAacuteIcirc~Atilde5AumlcedilAtildeAacutesup1Agrave(sup1raquoUAacuteAtildeordmdcedil4frac14Aacutesup1AumldraquoaeligOgraveuAumldcedil0sup1Igravefrac14dordmdAtildeAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIuml xQ|||~pwl~ lnrRtcodNtildeodiexclsect9lrRrv p auml9Pl| ~tuyldi j l|4Utu]vx4~rvreg t not v P4v Iumlh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34Liquestgagrave0IumliquestIumlgatildeUAacute4frac14dsup1Eacuteiquest9frac14draquoiEcircdIuml9THORNampAringraquo~Agravefrac14raquo13] uacute_^J^ xiquest` THORNampAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeIacuteEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34iraquo~Ecircsup1raquo~ordmsup1raquoIgrave(AtildeEcircsup1Agravefrac14frac12iexclsup1Igravefrac14ordm|Atilde5AEligaringEacuteLfrac34Oacutesup1raquoLAacuteAtilde5ordmcedil4frac14Aacutesup1raquo~ordm ordmdcedil4frac14|Ecircsup1Atilde5raquoLAacute frac14raquoiEcirccedilAtilde5ordm|sup1Auml|raquo sup1raquoOgraveuAumldcedilIgravefrac14ZAacutesup1Auml|raquo13aIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu notI iquesteE ^4y rdugrave Iumlh=Icircifrac14raquoiquestBETHIumlWfrac14raquoiEcircIuml g Atilde5AEligwAtildeJ] dividedugravedugraveuacute iquest` agraveAgraveAacutesup1AcircnAtildeFAgrave5Auml|raquoLAacuteAuml|AringcedilAElig$Ccedilgsup1AacuteIcircAuml|AringAacuteNtildeAtilde5Ecircordm|AtildeAElig_aIuml xQ||k|~pwld lnrRtcododUacutex4shy(l not v9sectpqo4v 4tu notuU v divideJw iquest divide xJx ydividezrJr Iumlh=Icirc~Atilde5AEligwraquo~frac14dAring~EcirciquesthIumliquestfWIuml=szligAtildeOgraveYacutecedilIAtilde5ordm|sup1Atildecediliquestfrac14draquoiEcirc g Iuml5Z=AumldAring~frac12AtildeAacute4] uacute_^J^z^ iquest`currenatildeUAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12cedilAtilde5ordmdsup1AumldraquoAEligwraquoifrac14dUgrave|AtildeEumlsEacuteifrac14dAEligwAtilde5EcircAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquofrac14|Ecircfrac14dOumlAacuteAtilde5EcircFAacuteAumlyEcircsup1s]AtildecedilAtilde5raquoLAacute-Ouml~IcircLfrac34AEligwsup1Agrave5frac14dfrac12~raquoAuml|sup1AEligwAtilde9Igrave(AumlUEcircAtilde5frac12AElig_aIuml xQ||k|~pqld~ lnrRtco~$osect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4vt iquest uacute|uacute_q y~uacute|uacute xIumlh=Auml|IcircAtilde5raquoiquestIuml] uacute4^z^uacute iquest`currenmiddotraquofrac14dAgrave Aacutesup1Acirc|Atilde Agrave5AumldraquoLAacuteAuml|AringcedilIacuteIgrave(AumlUEcircAtildefrac12AEligtimesfrac14draquo~EcirceumlEacuteifrac14dfrac12frac12AumlLAuml|raquoAElig_aIuml odshyiUrv pumltutcod pwl Utc0ldix4shyl not vsectEgravepwo4v tu not x4shyl not vOtildePnv p rsldidtu not) iquest divideUuacuteduacuteydivideLuacute UIumlh=Auml|IcircAtilde5raquoiquestSIumliquestUumlIuml13ZEgravefrac14cedil4Ecircsup1raquo~AtildeAacuteiquestfrac14raquoiEcircoNtildeIumlagrave9frac34Lfrac14dAgrave4Icirc~AtildeJ] uacute_^J^z iquest`atildeUAringcedilwOgraveufrac14dAgrave5Atilde0cedilAtilde5Agrave5Auml|raquoAEligqAacutewcedilAring~AgraveAacutesup1AumldraquotimesAring~AEligwsup1raquoordmfrac14AgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilaumlIgrave(AumlUEcircAtilde5frac12AElig_aIuml igraveiacuteraquoS] Lsect=xQ|od5v pv P4v od vwodshy(v rRp tc j v rregodtimestuodshyiUrv pumltutco Iuml~atildefrac14raquoUacuteTHORNampsup1Atilde5ordm|AumliquesthEgraveagraveyIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquestEgraveUumlIuml] dividedugrave|ugravedugrave iquest`currenatildeAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquo Ouml~frac14cedilAgrave5Auml|raquoLAacuteAuml|AringcedilAEligUacutefrac14AgraveAacutesup1currenOgraveuAEligUacuteAtilde5raquosup1Igravefrac14dordmdAtildecedilsup1AtildeIacuteIgraveAtilde5Ecircsup1Agravefrac14dfrac12AtildeIacuteEcircfrac34UEumlraquoifrac14dIgrave(sup1ecircLAring~Atilde]ampfrac14Ouml~Ouml~frac12sup1Agravefrac14ZAacutesup1AumldraquoAtilde5raquoeumlAgravefrac14Zcedil4Ecircsup1Auml|frac12Auml|ordmdsup1Atilde raquoUAring~Agravefrac12Atilde5frac14dsup1currencedilAtildeJaIumlfIcircIuml THORNFIumlAacuteIcirc~Atilde5AEligwsup1AElig5iquestraquo~sup1AcircnAtildecedilAEligwsup1currenAacutefrac34`AumlOgraveosup1Agrave5AtildeEumliacuteatildeAumldOuml~Icircsup1Yacutefrac14NtildeagraveraquoLAacutesup1OumlPAuml|frac12sup1AElig5iquestPeacutecedil4frac14raquo~Agrave5AtildedIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquest|UumlIumliquestUaacuteIacuteIumlEZEgravefrac14cedilfrac12frac14dAring~Ecirciquest[NtildeIumlLagraveAringEacutePAtildecedilwAacuteiquest|frac14draquoiEcirc dIumlnTHORN$frac14ZcedilAgrave5Auml|AringcedilwAacute4] divideugrave|ugraveUuacute iqueste`currenatildeOuml~frac14dAgrave5AtildeEgraveAacutesup1Igrave(AtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14EumlAacutesup1AumldraquoUacuteAring~AEligwsup1raquoordmfrac12Atilde5AcircnAtilde5frac12AEligwAtildeAacutefrac14dAgraveAacutesup1AcircnAtilde$AgraveAuml|raquoLAacuteAuml|AringcedilAEligfrac14Ouml~Ouml~frac12sup1AtildeEcirciexclAacuteAumlFIgraveNtildefrac34LAumlLAgravefrac14Zcedil4Ecircsup1frac14dfrac12ordmnfrac14ZAacuteAtildeEcircOtildeatildeIf-UumlkhEgraveETHaIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu not t v rJw iquest)x qJ+y xJ ^ Iuml

THORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquest13iexclNtildeIumlfrac14draquo~EcircdIumlWaacuteAuml|raquoLAacute4frac14ordm|raquoifrac14ZAacute4] divideugrave|ugraveUuacute iquest` ETHBAumldOumlPAuml|frac12Auml|ordmfrac34Oslashfrac14raquoiEcircIacuteAEligwIcirc~frac14dOumlPAtildeAgraveAuml|raquo~AEligqAacutewcedil4frac14sup1raquoUAacuteAEligyAumldraquotimesOumlifrac14Zcedil4frac14EumlIgrave(AtildeAacutewcedilsup1AgraveOslashfrac14dAgraveAacutesup1AcircnAtildearingAgrave5AumldraquoLAacuteAuml|AringcedilAElig_aIuml odshy~rv pumltutcodldP x4shy(l not vPLv p4rsldPtu notcent) v divideJw iquestuacute_qnugrave4yiuacute4rUuacute Iuml[Auml|Igrave(Atilde5AElig5iquestpounddIumlfrac14draquo~EcircaringmiddotNtildeIumleacuteifrac14Aring~ordm|Atilde cedil4frac14dAElig_] divideugrave|ugrave|ugrave iquestcurren` szlig9Atilde5Agrave5Aumldraquo~Agrave5sup1frac12sup1raquo~ordmIacuteEcircsup1AEligqAacute4frac14draquoAgrave5AtildeOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligfrac14draquo~Ecircaeligfrac12Atilde5AcircnAtilde5frac12EgraveAEligwAtilde AacuteAElig_aIumlpoundUodUp il|WoqUacuteumltul|-odshyNtildeshyFU~tR4lrRtcodTldix4shyl not vampgvipv v rsldrRtcod ) iquest dividedugravez^+ydivideddividez Iuml[cedil4frac145frac34LiquestszligyIumliquestdIumlyen-Auml|Aringraquo~ordmiquestampfrac14raquoiEcircagrave0Iumlampagravesup1currenfrac34LAtildecedil4] dividedugravedugraveuacute iquest `aacutesup1raquosup1IgraveNtildeAring~Igrave Ecircsup1AEligwAgrave cedilsup1Igrave(sup1raquo~frac14Aacutesup1Auml|raquosup1raquoOgraveregAumldcedilIgravefrac14Aacutesup1AumldraquoAgrave5frac12Aring~AEligqAacuteAtildecedilsup1raquo~ordmI]Igrave(AumlUEcircAtilde5frac12sup1raquo~ordmTfrac14raquoiEcircOslashecircLAringifrac14raquoUAacutesup1Ocircfrac14ZAacutesup1Auml|raquoOslashCcedilgsup1currenAacuteIcirc ordm|frac14dAringAEligwAEligIgrave(sup1currenicircAacuteAringcedilAtilde5AElig_aIumlTigraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquest=atildePIumliquest=aacuteIacuteIumlkZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestEgravefrac14raquoiEcirc[NtildeIuml=agrave9Aring~EacutePAtildecedilwAacute4] dividedugrave|ugraveUuacute frac14Uiquest` agrave EumliacuteatildeUAacuteAtilde5Ouml frac14dfrac12ordm|Aumlcedilsup1currenAacuteIcirc~IgraveAring~AEligwsup1raquoordmcedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtilde=Agrave5Auml|raquoLAacuteAuml|AringcedilAEligeOgraveuAumldcedilAcircUsup1EcircAtilde5AumlAuml|EacuteUbrvbarqAtilde5Agrave AacuteAElig=EcircAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoSaIuml~igraveraquo13]psect xw j x4 sect odpDumlqo odUacutex4shy(l not v9Pl| ~tu5op j rRtushyvwdtclNtildex4rv pwlnrRtKndvy]v pntc4v IumliETHWfrac14dIgrave(OumlPAtilde cedilAtilde|iquestieacuteWsup1raquofrac12Yacutefrac14raquoiEcirc]Iumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquestUatilde]IumliquestUaacuteIacuteIumlUZ=frac14cedilfrac12frac14dAring~EcirciquestUfrac14raquoiEcirccopy[NtildeIumlUagrave9Aring~EacutePAtildecedilwAacute4] dividedugravedugraveuacute EacuteiquestA` szlig9Atilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14AgraveAacutesup1AcircnAtildegAgrave5Auml|raquoLAacuteAumldAringcedilAEligOgraveuAumldcedilAcircUsup1YacuteEcircAtilde5AumlaringAuml|EacuteUbrvbarqAtilde5Agrave AacuteOtildeAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo Ccedilgsup1currenAacuteIcircaAgrave5frac14dIgrave(Atildecedil4frac14OslashAgrave5AumldIgrave(OumlPAtilde5raquo~AEligfrac14ZAacutesup1Aumldraquo13aIumligraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquesteatilde]IumliquestWaacuteIacuteIumlZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestefrac14draquo~Ecirc[NtildeIumlBagraveAring~EacutePAtilde cedilwAacute4] divideugrave|ugraveuacute Agrave|iquestk` g sup1EcircAtilde5AumlUacuteAuml|EacuteUbrvbarqAtildeAgraveAacuteFAEligwAtildeordm|Igrave(Atilde5raquoLAacute4frac14Aacutesup1AumldraquoAring~AEligwsup1raquo~ordmIacuteAtilde5Aring~frac12Atildecedilsup1frac14draquo cedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAElig_aIuml igraveiacuteraquoS] x4rv p ildrRtcodil|yodv pwv P4vIacuteoodshyiUrv paumlumltutcod Iuml g frac14draquoAgrave5Auml|AringAcircnAtildecediliquestehEgravefrac14draquo~frac14|Ecirc~frac14UIumlbyfrac14dAEligwAElig5iquesteaacuteIacuteIumliquestWagrave0Iuml Ucirc sup1currenAacuteUgravesup1raquoiquestWfrac14raquoiEcirctimesTHORNFIumlWETHBAtildecedilOcirc5AumldOumlPAuml|Aringfrac12AumldAElig_] uacute4^ JUiquestk`currenatilderaquoifrac14UgravenAtilde5AElig_]WagraveAgraveAacutesup1AcircnAtilde(Agrave5AumldraquoLAacuteAuml|Aringcedil0Igrave(AumlUEcircAtilde5frac12AElig_aIumlx4~rv p4PldrRtcoPl|WpoundUop4PldWoqodshyiUrv pTumltutcod iquest ndivideUuacuteyUzndivide Iuml

aacuteUacutefrac14dfrac12frac12frac14|Ecircsup1ciquest~szlig0IumliquestedIuml]atildeUAtildeAacuteIcirc~sup1frac14raquoiquest~frac14draquoiEcircZIuml g Atilde5IgraveNtildeAringcedilsup1G] uacute4^z^ UiquestS`atildeUIcircifrac14OumlPAtilde$Igrave(AumlUEcircAtilde5frac12sup1raquo~ordm0Ccedilgsup1AacuteIcirciexclOgraveregcedilAuml|raquoLAacuteOumlcedilAumldOumlifrac14dordm|frac14EumlAacutesup1Aumldraquo13]nfrac14ampfrac12AtildeAcircnAtilde5frac12AEligwAtildeAacuteEgravefrac14Ouml~OumlcedilAumlnfrac14dAgrave4Icirc13aIuml xQ|||~pwld lnrRtcodampodsectgldrRrv p 9Pl| ~tu9ldP j ln4Utreg]vx4~rvu t not v i4v Iordf iquest uacute z yiuacute+r UIuml

aacuteUacutefrac14draquoAEligwAuml|Aringcedilsup1Riquestagrave0Iumlfrac14draquo~EcircdIumlb$Auml|raquocedil4frac14|EcircS] uacute_^J^J^ iquestlaquo`currenaacuteAumldAacutesup1AumldraquoAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo`Ccedilgsup1currenAacuteIcirceumlfrac12Atilde5AcircnAtildefrac120AEligwAtilde AacuteAElig_aIuml igraveraquo13]x4~rv p4PldrRtcoPl|=ov pwv P4vNtildeodUacutex4shyl not vsectEgravepwo4v tu not Iumlcb$AumldEacutePAtilde|iquestednfrac14dOuml~frac14draquoIuml

aacuteAuml|raquoLAacute4frac14dordmdraquoifrac14ZAacuteiquestdIumliquestziexcl0IumlTHORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquestdfrac14draquo~EcircoNtildeIumlZagravegfrac34Ufrac14dAgrave4Icirc~AtildeJ] dividedugrave|ugraveUuacute iquest` agraveOslashcedilAtildeAcircsup1AtildeCcedilaeligAumldOgravePEcircAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeAEligwAringcedilwOgraveufrac14dAgrave5AtildeAElig_]AacuteAuml|OumlPAuml|frac12Aumldordmdfrac34Liquestgordm|AtildeAuml|Igrave(AtildeAacutewcedilwfrac34frac14draquoiEcirc EcircAtildeOgraveuAumlcedilIgravefrac14Aacutesup1Auml|raquoSaIuml x4shyl not vtimesldiOacuteumltutcododshy~rRtreg not0Inot v uacute_qw iquestuacuteugravendivide+y~uacuteugravezq|ugrave Iuml

aacuteAring~IgraveOgraveregAumldcedil4Ecirciquest=THORNFIumlgfrac14raquoiEcircdIumlatildeIcirc~frac14dIcircS] uacute4^ ^ iquest`currenmiddotOumlAacutesup1Igravefrac14frac12$frac14dOumlOumlcedilAumlicircsup1Igravefrac14Aacutesup1Auml|raquoAEligEacuteLfrac34Oumlsup1AtildeAgrave5AtildeCcedilgsup1AEligwAtildetimesAEligwIgrave(AumlLAumlAacuteIcircOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligFfrac14raquoiEcircOslashfrac14dAEligwAEligwAumlLAgravesup1Yacutefrac14ZAacuteAtildeEcircaringAcirc|frac14Zcedilsup1Yacutefrac14ZAacutesup1Auml|raquoifrac14frac12EgraveOumlcedilAumldEacute~frac12Atilde5Igrave(AElig_aIuml odshyNtildeshyFU~tR4lrRtcod~oaeligsectEgraveUpvUacuteldiEgraveni tsvw j ldrreg~v shy(lrRtccurrenshyt iquest rzr4y xJ q Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfa

yenKbrvbarsect =4 acirc $ zmiddotAEligwIcirc~AtildecediliquestdatildePIumlfrac14draquo~EcircdIumlnatildeAtilde AacuteIcirc~sup1frac14draquoS] uacute4^ ziquest` eacutecedilAuml|raquoLAacuteAEligeOumlcedilAumldOumlifrac14ordmnfrac14Aacutesup1raquoordmCcedilgsup1currenAacuteIcircFAgrave5AringcedilAcirc|frac14ZAacuteAringcedilAtildeEumlEcircAtilde5OumlPAtilde5raquoiEcircAtilde5raquoLAacuteBAEligwOumlPAtildeAtildeEcircS]

agravefrac12ordm|Aumlcedilsup1AacuteIcircIgrave(AEligEacute~frac14dAEligwAtildeEcircaumlAuml|raquoiexclampfrac14Igrave(sup1frac12AacuteAumldraquoEumldnfrac14Agrave5Auml|Eacutesup1eacute~AumldcedilIgraveNtildeAring~frac12frac14Aacutesup1Auml|raquoSaIuml poundUodUp4Pl|oqiexcloshyiUrsldrRtcoPl|sect=U~tc ordfenot iquest uacutedivide4yEqE^ Iumlfefrac14cedil4frac14ordm|sup1Auml|AElig5iquestoNtildeIumlfrac14draquo~EcircIacuteszligyIuml]THORNampAtildecedilsup1Agrave4Icirc~AtildeJ] uacute4^z^J^ iquest`s[Atilde5AumlUEcircAtildeAEligwsup1Agravefrac14AgraveAacutesup1AcircnAtildeFcedilAtilde5ordmdsup1Auml|raquo~AElig$OgraveregAumldcedil0Igrave(AumldAacutesup1Auml|raquoTAtilde5AEligqAacutesup1Igravefrac14Aacutesup1Aumldraquofrac14draquoiEcircAacutewcedil4frac14dAgrave4UgraveUsup1raquoordmAaIumligraveiacuteraquoS] x4rv p ildrRtcodil|-ov pwv P4vFodOslashodshyiUrv paumlumltutco Iumleh=AumldcedilwOgraveregAringgt[cedilAtilde5Atilde5Agrave5Atilde|Iumlfefrac14AacuteAtilde5Aringicirc]iquestatilde]Iuml] dividedugravedugrave|ugrave iquestpound`currenatildeOuml~frac14Aacutesup1frac14dfrac12AEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoTAumldOgrave=Agrave5Auml|frac12Aumlcedilysup1Igravefrac14ordm|Atilde5AEligampfrac14dAgrave5Agrave5Aumlcedil4Ecircsup1raquo~ordmAacuteAumlUacuteaacuteTHORNaringOgraveregAumldcedilIgravefrac14dfrac12currenEumlsup1AEligwIgraveaIumlyigraveraquo13] x4~rv p4PlrRtcodPld=od5v pv i vodododpFtu pwl4UtcldPx4shyl not vysectpqo v tu not Iumlatildefrac14dsup1raquoLAacute UumleAacutesup1Atilderaquo~raquo~Atildediquestieacutecedil4frac14raquo~Agrave5AtildedIumlfcedilAtildeAgrave5sup1Auml|AEligwAumliquesteacute=IumlEgravefrac14raquoiEcirc aacuteIacuteIumlcurrenZEgravefrac14cedilfrac12frac14dAring~EcircS] dividedugrave|ugraveUuacute iquest` Z-EumliacuteatildeUOuml~frac12sup1raquo~Atildeaumlfrac14dAgrave Aacutesup1Acirc|AtildeOtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAEligOgraveregAumldcedilOgraveRfrac14AEligqAacuteAcircUsup1EcircAtilde5AumltimesAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIumlOacuteigraveraquo13] x4rv p ildrRtcodil|od5v pv P4vaeligod x4shy(l not vUacutesectpqo4v 4tu not IumlETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1Riquest[cedilAtilde5Atilde5Agrave5Atilde|Iuml

szligAumldraquoOgraveufrac14cedil4EcirciquestszligyIuml] uacute_^J^q iquest` szlig9Atilde5ordmdsup1AumldraquoEumlsEacuteifrac14AEligwAtildeEcircFAEligqAacutewcedil4frac14ZAacuteAtilde5ordm|sup1Atilde5AEligeOgraveuAumlcedil-frac14dAgraveAacutesup1AcircnAtildeEgraveAgraveAuml|raquoLAacuteAuml|AringcedilIgrave(AumlUEcircAtilde5frac12AElig_aIuml x4~rv p4PldrRtcoPl|poundUodUp il|WoqodshyiUrv paumlumltutco I v dividezw iquest divideddividez^+yUdivide uacute Iuml

atildefrac14Igrave(AEligwAuml|raquoiquestzhIumliquestzIumlzZ=frac12frac14raquo~AgraveEumleacuteAtildecedil4frac14AringiEcirciquestJ[NtildeIumldagraveAringEacutePAtildecedilwAacuteiquestfrac14draquo~Ecirc dIumlJregPAtildecedilAring~Eacutesup1frac14I] dividedugravedugrave|ugrave iquest` agrave frac12Atilde5Acirc|Atilde5frac12UAEligwAtildeAacuteIgrave(AumlUEcircAtilde5frac12nOgraveregAumldcedilsup1Igravefrac14ordm|AtildeAgrave5frac12frac14dAEligwAEligwsup1siAgravefrac14ZAacutesup1Auml|raquo13aIuml x4~rv p4PlrRtcodPldpoundUodUp4Pl|BoqNtildeodshyiUrv pOtildeumltreg4tRod shy v Ew iquest uacute r4y~uacute4^Er Iuml

atildefrac14raquo~ordmdCcedilgsup1raquoAtilde|iquest9atilde]IumlEgravefrac14draquo~Ecircszlig0IumlampiexclAumldcedilraquoAtilde v Atilde5EcircAElig5Iuml w ] uacute_^J^ Uiquest ~vIacuteo|odUpaumltushyl not vipqo4v 4tu not ldP|m4oo4uml Iumlh=Icircifrac14dOumlIgravefrac14draquodegmacriexclampfrac14dfrac12frac12RIumlatildeAtildeAacuteIcircsup1frac14draquoiquestdIumlplusmn] uacute4^z^|ugrave iquestU` oAringIgrave(Atildecedilsup1Agravefrac14dfrac12Ufrac14frac12ordm|Aumldcedilsup1currenAacuteIcircIgrave(AEligWOgraveuAumldcedilOumlcedilAuml|Oumlifrac14ordmnfrac14ZAacutesup1raquoordmsup1raquoLAacuteAtildecedilwOgraveRfrac14Agrave5Atilde5AElig_]Jiexclampfrac14dIgrave(sup1frac12currenAacuteAuml|raquoEumldnfrac14dAgrave5AumldEacute~sup1

AtildeecircLAringifrac14Aacutesup1Aumldraquo~AElig-frac14draquoiEcircAgraveAuml|raquo~AEligwAtilde cedilAcirc|frac14ZAacutesup1Aumldraquo(frac12frac14CcedilgAElig_aIuml poundUodUp4Pl|]oqEgraveyen$t lv pv rRtcl| voshyv rRp~ iquest uacute4Uuacutey~uacute x uacute IumlatildeAtildeAacuteIcircsup1frac14draquoiquestAdIuml] uacute4^J^ xiquest kWvndvB]v r j v rregod IumlcurrenhEgravefrac14dIgraveNtildeEacutecedilsup1EcircordmdAtilderaquosup1AcircPIumlAfecedilAtilde5AEligwAElig5Iumlatildesup1Ecirc~Ecircsup1ecircUsup1Riquest4bIumliquest_yenNtildeIumlBfrac14Aring~Ocirc5sup1Gsup2AtildecedilAtilde|iquestagraveyIumlETHWfrac14draquoraquo~Atilde5raquoUEacute~frac14dAring~IgraveUacuteiquest5frac14draquo~EcircNtildeatildePIumlregPAring~Agrave4UgravenAtildecedil4] uacute_^J^ xUiquestE`currenagravegcedilAtildefrac149frac14draquoiEcirc$frac12Atilde5raquoordmdAacuteIcircyIgrave(sup1raquoEuml

sup1Igrave(sup1Ocirc5sup1raquoordm sup3iAumlCcedilgAEliggOgraveuAumldcedilAEligwIcircifrac14OumlPAtildeyAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo13aIuml xQ|||~pwl~ lnrRtcodoOtildex4shyl not vsectEgravepwo4v tu notordf v Ew iquest qEz+yqzqE Iumlyen=AtildeOcirc5Ocirc5sup1RiquestagraveyIumliquest5agrave0Iuml5ETHEgraveAEligfrac14dsup1Riquestfrac14draquo~Ecirc$agrave0Iuml Ucirc sup1frac12frac12AEligwUgraveLfrac34] uacute4^z^J^ iquestJ` agraveaeligAEligqAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12Ufrac14dOumlOumlcedilAumlnfrac14Agrave IcircampAacuteAumlgAEligwraquo~frac14dUgravenAtilde5AElig]OgraveuAumlcedilWEacutesup1Igrave(AumlUEcircfrac14dfrac12frac14draquoiEcircAacutewcedilsup1Igrave(AumlUEcirc~frac14frac12isup1Igravefrac14dordmdAtildecedilwfrac34aIumligraveraquo13] x4rv p ildrRtcodil|eodv pwv P4vyodx4shyl not vgsectpqo v tu not IumlAb$AumldEacutePAtildednfrac14dOuml~frac14draquoIumlreg]IcircUAringiquest]atilde]Iumlfrac14raquoiEcircaumlagrave0Iumleyen=Aringsup1frac12frac12AtildeJ] uacute_^J^ xUiquestpound` szlig9Atilde5ordmdsup1AumldraquotimesAgrave5AumldIgrave(OumlPAtildeAacutesup1currenAacutesup1Auml|raquo13]iAring~raquo~sup1currenOgraveYacutefrac34sup1raquoordmiexclAEligwraquo~frac14dUgravenAtilde5AElig5iquestPcedilAtildeordm|sup1Auml|raquoTordmdcedilAumlCcedilgsup1raquo~ordmiquestfrac14draquoiEcircZEgravefrac145frac34LAtilde5AEligacute|aacuteTHORNOgraveregAumldcedilIgraveFAring~frac12currenAacutesup1Eacuteifrac14raquoiEcirc sup1Igravefrac14ordm|AtildeTAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo13aIuml xQ|||micro~pwld lnrRtcodtimesosect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4v Icent iquesteJ q+yU^dugrave|ugrave Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfo

i $amp)(+-)013021+345627893lt=gt9A6CBfrac12OcircacuteIshyNT

frac12OcircacuteIltNTpara frac12frac34EMeJaumlQcYZYZjJUacuteQsY H [ ^QEgraveJLhZJUO H QcN H J H MeJordfXiacute[]fcfR[WQcO[Oslash^e[]ZaringNPQsOXiacutejOb H QR[]ONPfdaringocirc|adOuml times jOcircaacute uuml times a2atildeltszligaumlgtszliglOuml times j atilde auml

G QsObnJ H MJeumlYZJ H [SXIacuteNPfcfUacute^e[]ZaringNPQsOYMNPY Oe[ H N Y H hjb H jhZJ`[SXUPJUb H [PhQcNPfOtildeYZKNPbnJSefRJ H jYZ N`PJ H MeJeumlhZJ[]QR[]OYJUP[]fVUPJ H MehZ[]j[]M NrXqNSZaringQcfVm [SX H hNPOYYX[PhlZ N H QR[]OYa(|aagraveszlig jj emiddot iacuteaumlYlZOslash[[ H MaNPO^ centQ ~JUb H QVUPJS^ not [PhNOslashKEgrave[]QcO H $ aacute atildeshyszligaumlN eFWFJTOe[ H JSaring$ aagravej|aacutemiddot|aagraveszlig $ j WiexclQ H M |a s szlig $ jaacute $OumlcopytimesaagravejOcircaacutemiddot|aagraveszliglOumlutimesdj WiexclQ H M |a s szliglOumlcopytimesAjOcircaacuteAumlOumlutimes9J H jY H MeJUO^JOeJ H MeJordfUPJUfR[WbLQ H moUPJUb H [PhdY JUfs^kfrac12 YZjbM H MN H aringfrac12sup1aagraveszlig $ aagravejj|aacute aelig |aelig agrave aagraveszlig $ j YlaquoXiacuteNiharingNPY H MeJ bn[]ZOslashKj H N H QR[]O[SX H MeJ ^eJLhQU~N H QVUPJ QcYOslashbn[]ObnJLhOeJU^OeWFJNihZJQcOWVH JLhZJUY H JU^ QcO YYZaringNPfcfOtilde^JX[PhlZ N H QR[]OY^ J H MBjYJkWKNPO^ H MeJ H hNPOYX[PhZaringN H QR[]ONPbLbn[Ph^QcO[ H [hdY H [Ph^eJLh NmWfR[PhyacuteXiacute[PhlZtimesjfcNaring|aagraveszlig $ jpoundaacuteAElig|a s szlig $ j agrave aelig |aelig agrave a s szlig $ jaacute $ ragrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacute frac14 frac14 a s szlig $ j^ J H MeJUOQcO H hZ[W^jbnJ H MehZJLJgZ NPQcO^eJOQ H QR[]OYaringf^QMeJg0jfRJLhQcNPO^eJLhQU~N H QVUPJOtilde[SXocirc|adOuml times jordfaqQcO H MeJIacute^QRhZJUb H QR[]O[SXcedilfrac12jaring ocirc|adOumlcopytimesszlig_frac12jOcircaacutefcQZUcedil iacute ocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave admacrfj ^QMeJgZaringN H JLhQsNPfg^eJLhQVUiN H QVUPJOtilde[SXuumlStimesYa $ szliglOumlcopytimes)jaringsup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j|aacutefcQZUcedil iacute uumlStimesa $ ragrave3frac12ba $ jszliglOumlutimes agrave3frac12sup1a $ jj uuml]timesa $ szliglOumlcopytimesdjagrave admacr j^QMeJaumlYZMNiKEgraveJOtilde^eJLhQU~N H QVUPJOtilde[SXOcircuuml]timesa $ szliglOumlutimes)jaring

uumlnotraquotimes a $ szliglOumlcopytimesUcircszlig_frac12 jaacutefcQZUcedil iacute uumlStimesYa $ szliglOumlutimesragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave admacrS]j

uumlnyacutenthornnyumll13YSordmY_Fordfy

yenKbrvbarsect =4 acirc $ hq centUWQR[]jYZfVmSe-centmaJkBKNPO^QcO[ admacr jUacuteNPbLbn[Ph^QcOF[ H [hdY H [Phd^eJLhordfNmBfR[PhordfXiacute[PhlZtimesjfcNeWFJaumlMNUPJSaring sup1uumlStimesYa $ szliglOumlcopytimesUcircszlig_frac12 jaacuteAumluumlnotraquotimes a $ szliglOumlcopytimesszlig_frac12jhuumlStimesa $ szliglOumlcopytimes)j frac12sup1a $ j admacrj J H MeJUOabn[]ZOslashK-j H JZOslash[PhJaumlKhZJUbLQcYZJUfVm H MJ0jfRJLhQcNPO ^eJLhdQVU~N H QUPJauml[SXcopyocirc|adOumlcopytimesdj^ JMNUPJSaringocircOcircadOumlutimesaagravejj ocircOcircadOumlutimes)jagrave aacute fagrave = thorn yuml uuml times a $ aagravejszliglOuml times aagravejj $ uuml times a $ szliglOuml times j $ FH admacrSmacr]j5O H MJohY H QcO H J[PhdNPfdeltWFJZaringN`PJ H MeJU~NihdQcNicentfRJ bMNPO[PJ $ aagravejaacute $ agrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacuteethicirc7a2atildeshyszligaumlFjszligicirc cent a2atildeltszligaumlj eWMQcbdM[]QVUPJUYaring thorn yuml uuml]timesYa $ aagravejszliglOumlcopytimesYaagravejj $ aacute admacrS]j

5 uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlutimes agrave3frac12sup1a $ jjlt^eJ H ocirc a $ jlt $WMJLhZJocirc a $ jQcY H MeJgXiacute[]fcfR[WQcO[aringSNPbn[PcentQcNPOtZaringN H hdQkKaring

ocirc a $ jaacute oacute fcedilxagrave frac14 iacute oslashfrac14Uordm agrave frac14 iacute oslashfrac14 ugraveagrave frac14 iacute acircfrac14ordm fcedil agrave frac14 iacute acircfrac14 ugrave ocircNPO^ YZ[eFWNtildeJIacuteMNUPJSaring

^eJ H ocirc a $ jOcircaacute fUragravee^QVUKafrac34frac12sup1a $ jjragrave cent ^eJ H amacr frac12sup1a $ jjMJUOWNtildeJauml[Pcent H NPQcOOaring

fsQZcedil iacute ^eJ H ocirc a $ j fagrave aacute ^QVUKafrac34frac12sup1a $ jj admacr]zSjMJJBjN H QR[]OxadmacrSmacr]j H MeJUOcent=JUbn[]ZaringJUYaringocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave aacute fagrave middot uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jjlt 13raquo ocirc a $ jlt $ uumlStimesa $ szliglOumlcopytimesAj $ admacrSi]j JTbLNPO`YZjeKKEgrave[]YJ H MN H ^eJ H aocirc a $ jjfrac14aacute sfrac12 agrave frac12 $ ^ JZaringNm H MeJUO H N`PJ^eJ H aocirc a $ jjfrac34 s eNPO^ WNtildeJ ^eJUPJUfR[PK H MeJaJkWKhZJUYYZQR[]OadmacrSi]j NPYoX[]fsfR[WQsO[centmNP^^QcO[aringN H JLhZ QcO H MeJIacuteYZJUbn[]O^aQcO H J[PhNPfltWMQcfcJaumlYZjeKKhJUYZYZQcO[ H MeJtimesYZNSZOslashJ H JLhlZQcO H MJordfhY H QcO H J[PhNPfdaring ocirc|adOumlcopytimesYaagravejj ocirc|adOumlcopytimes)jagrave aacuteegraveOtildef1rOtilde cent admacrSh]j

uumlnyacutenthornnyumll13YSordmY_Fordf

s $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJSaring

Otilde aacute uuml]timesa $ ragrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave ^eJ H aocirc a $ jj $ ad s jOtilde cent aacute uuml]timesa $ szliglOumlcopytimesdj ^eJ H aocirc a $ jj fagrave $ adfj

9J H jY_ZaringN`PJordmagrave H JUO^ H [WNih^Y s ^curreniquestYZQcO[frac34admacrjiexclNPO^JOQ H Qc[]OYadmacr e macrS]jeWFJ[PJ H aringfcQZUcedil iacute Otilde aacute sup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j $

aacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ uuml times a $ szliglOuml times j frac12sup1a $ j $fcQZUcedil iacute Otilde cent aacute uuml]timesa $ szliglOumlcopytimesdj^QVUKafrac34frac12 j $

O^ Y[Xiacute[Ph H MeJgNtildejfRJLhQsNPO ^eJLhQVUiN H QVUPJSeWFJgO^Oaring ocirc|adOuml times szlig_frac12jumlaacuteyacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ amacrreguumlStimesYa $ szliglOumlcopytimes)j frac12sup1a $ j7 uuml]timesYa $ szliglOumlcopytimes)j^QVUKafrac34frac12sup1a $ jjj $aacute uumlnotraquotimes a $ szliglOuml times szlig_frac12j $ ^QVUKaduuml times frac12j $ ad j

MeJUO NiKKfVmWQcO[ H MJ hJLJUOWVAQRJZ NPOO H MeJL[PhZJZQcO ad jeWNtildeJ5ONPfcfmtimes[Pcent H NPQcOOaring ocirc|adOumlcopytimesszlig_frac12jOcircaacute uuml raquotimes a $ szliglOumlcopytimesUcircszlig_frac12j $ uacutefrac14 5 uuml]timesYafrac34frac12 eacuteAgraveiquestsup1AacuteAtildeAcircj THORN adS]jWMJLhZJ5eacuteAgraveiquestsup1AacuteAtildeAcircyQcY H MeJUacutejOQ H QcOOgraveWNih^ Oe[PhlZaringNPf H [ aelig OumlcopytimesUcirc^MeJ_NtildejfRJLhQcNPO ^eJLhQVUiN H QVUPJQcY(O[ H JU^ ocirc raquo aagravej(QcO H MeJaumlKNiKEgraveJLhNPO^ H MeJaumlYZMNiKEgraveJauml^eJLhQU~N H QVUPJyuuml raquotimes QcY(Oe[ H JU^ frac14 frac14 ^iquest acutemicrosup1cedilFLft not [PhyYQZOslashKfcQsbLQ H mSeWNtildeJ(bM[[]YJ H MeJcopyXiacute[]fcfR[WQcO[_U~NihQsN H QR[]OaeligQcO H MeJKhZ[B[SXaring$ aagravejaacute $ agrave3frac12sup1a $ j^MJiexclKh[[SXZaringNm NPfcYZ[IacutecentEgraveJiexcl^JUPJUfR[PKEgraveJU^WiexclQ H MZaring[PhZJ_[PJUOJLhNPfUiNihQcN H QR[]OYFYjbM NPYaring $ aagravejaacuteAacuteAgravea $ szligYagravejWQ H MAcircAgrave`NOslashYYZOslash[B[ H MXiacutejOb H QR[]ONPO^AcircAgravea szligYagravejcentQ ~5JUb H QVUPJS^

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ ffrac12OcircacuteIshyNT AcircE J(MNUPJ H [Otildebn[]ZOslashK-j H J H MJNtilde^QEgraveJLhZJUO HH JLhZaringY9[SXQa macr]j9QsOauml[Ph^eJLh H [Uacute[Pcent H NPQcO H MeJ

JUP[]fcj H QR[]OJBjN H QR[]O[SX H MeJ NPb H QUPJ bn[]O H []jehX[Ph H MeJ ^JUYZbnhQRK H [PhdYaumlcentNPYJU^Oacute[]OH MeJ(bn[U~NihQsNPObnJ ZaringN H hQVktimes^eJ H JLhlZ QcONPO H a2Ograveh]j^OgraveMeJ(bn[]ZOslashKj H N H QR[]OaringQcYampKEgraveJLhYXiacute[PhlZOslashJU^Xiacute[Ph H MeJIacute^eJUYZbnhQRK H [Ph_uuml thorn timesOslash yuml ^ q centUWQR[]jYZfmSeN YZQZ QcfcNihbn[]ZOslashKj H N H QR[]OabLNPOacent=JIacute^e[]OeJXiacute[PhOcircuuml thorn UgraveUcircUacuteUuml yuml ^ JiexclbLNPOaeligJkBKhJUYZYOcircuuml thorn timesOslash yuml NPYyNUacutebn[]ZTcent-QcON H QR[]Oaelig[SXgtXiacutejOb H QR[]OYamp^eJLKEgraveJUO^QcOF[[]O H MJOtildehZJ[]QR[]OwOuml timesOslash aring

uumlgtthorn times Oslash yuml a2atildeltszligaumlgtszligYagravejaacute`Ograveoacute m thorn timesOslash yumlaIgraveagrave thorn timesOslash yumlAtilde j cent ocirc adjWMJLhZJordmaacuteAuml85eWiexclQ H MAring8 H MeJordfXqjOb H Qc[]O QcO H h[B^jbnJU^ QcOpounda2Ograveh]je-NPO^aringm thorn timesOslash yuml aacute agrave thorn timesOslash yuml agrave thorn timesOslash yumlcent agrave thorn timesOslash yuml agrave thorn timesOslash yumlAElig agrave thorn times Oslash yumlCcedil agrave thorn timesOslash yumlEgrave agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlEgrave j cent agrave thorn times Oslash yumlcent aIgraveagrave thorn timesOslash yumlCcedil j cent agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlAElig j centWQ H MOaring EFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFH

agrave thorn timesOslash yuml aacute w$ thorn yuml aOtilde S times Oslash j cent atilde aumlagrave thorn timesOslash yumlcent aacute w$ thorn yuml aOtildeOgravecent Scenttimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yuml aacute w$ thorn yuml aOtildeS Stimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yumlAElig aacute w$ thorn yuml aOtilde S times Oslash jaOtildeOgravecent ScenttimesOslash j atilde aumlagrave thorn timesOslash yumlCcedil aacute w$ thorn yuml aOtilde S times Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlEgrave aacute w$ thorn yuml aOtilde cent S centtimes Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlAtilde aacute w$ thorn yuml atilde auml O^ Y[ H MJordfXiacutejOb H QR[]OY aelig thorn timesOslash yumlauml MNUPJ H MeJgXiacute[]fcfR[WiexclQcO[aeligJkBKhZJUYZYZQR[]OYaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

aelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlcent aacute aOtilde cent S centtimesOslash j centaelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlAElig aacute aOtilde S timesOslash jaOtilde cent S centtimesOslash jaelig thorn times Oslash yumlCcedil aacute aOtilde S timesOslash jaOtilde S timesOslash jaelig thorn times Oslash yumlEgrave aacute aOtildeOgravecent ScenttimesOslash jaOtilde13 StimesOslash jaelig thorn times Oslash yumlAtilde aacutemiddotf

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBnot h[]Z H MeJUYJaumlJkWKhZJUYYZQR[]OYeWFJOtildeJUNPYZQcfm ^eJU^jbnJ H MN H aring

$ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde aumlregaacute sEacutefrac12poundEcirc iuml

J H MeJUO MNUPJ H [Tbn[]ZaringKj H J H MeJ H JLhlZaringY eacute thorn times Oslash yumlauml XiacutehZ[]Z H MeJJkWKhZJUYZYQR[]OYamp[SXagrave thorn timesOslash yumlauml eWMQcbM fRJUNP^Y H [aringEFFFFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFFFFH

eacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideoslash aacute w$ thorn yuml uacute ouml $ordfdivideacirc uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIgrave yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H a timesOslash jjeacute thorn timesOslash yumlcent aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideacirc

aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIcirc yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideEuml aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideacirc thorn thorn uacute ouml $_divideIuml yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yumlAElig aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIuml aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideEuml uacute ouml $ordfdivideIuml thorn uacute ouml $_divideIcirc uacute ouml $ordfdivideIgrave yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlCcedil aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIcirc aacute w$ thorn yuml cent thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideacirc uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlEgrave aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIgrave aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideoslash uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlAtilde aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIacute aacute w$ thorn yuml thorn +ETH ouml $_dividethorn uacute ouml $ordfdivideIacute yuml Iuml 8 raquo aq^J H a timesOslash jj

O^centmJkWKhZJUYZYZQsO[ H MeJbn[UiNihQcNPObnJZaringN H hQVkpoundWQ H M H MJregXqjOb H QR[]OYagrave thorn timesOslash yumlauml NPYXiacute[]fcfR[WQcO[aring

timesOslashlaquoaacute 1NtildeNtildeNtildeNtildeNtildeNtilde3uacute ouml $ordfdivideoslashuacute ouml $ordfdivideIacute uacute ouml $_divideIumluacute ouml $_divideIacute uacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIumluacute ouml $ordfdivideIacute uacute ouml $_divideacircuacute ouml $_divideIacute uacute ouml $ordfdivideIgraveuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacute uacute ouml $_divideIgraveuacute ouml $_divideIacute uacute ouml $ordfdivideEumluacute ouml $ordfdivideIacute

6OgraveOgraveOgraveOgraveOgraveOgrave7 J H MJUO^eJU^jbnJSaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

eacute thorn times Oslash yuml aacute a fj thorn yuml ^eJ H aDC Ptimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlcent aacute a fj thorn centcent yuml ^eJ H aDC centcenttimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yuml aacute a fj thorn curren yuml ^eJ H aDC 4times Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlAElig aacute a fj thorn cent yuml ^eJ H aDC centtimes Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlCcedil aacute a fj thorn curren yuml ^eJ H aDC times Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlEgrave aacute a fj thorn centcurren yuml ^eJ H aDCcent4times Oslash j48 raquo aq^eJ H a timesOslash jjeacute thorn times Oslash yumlAtilde aacute amp^eJ H a timesOslash j48 raquo aq^eJ H a timesOslash jj

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ SWMJLhZJC EBtimesOslash QcY H MeJgZaringN H hdQk ^eJU^jbnJU^Xh[]ZOacutetimesOslasharingcentm YZjeKKhZJUYZYZQcOF[ H MeJyuuml UumlON hZ[WNPO^ H MJ I UumlON bn[]fcjFZaringOO^]MeJbn[]ZOslashKj H N H Qc[]OordmX[Ph H MeJ^eJUYZbnhdQRK H [Ph|uuml thorn UgraveUcircUacuteUuml yuml QcYyYQZaringQcfcNihNPO^WFJ H MeJUOOslashMNUPJNPfcf H MeJ(JkWKhZJUYZYZQc[]OY H [aumlbn[]ZOslashKj H J H MeJJUP[]fcj H QR[]OaeligJjN H QR[]OXiacutehZ[]Z H MeJg[PJUOJLhNPfOXiacute[PhlZIacutejfcNta macr]j^gtMQcYcopy[]QVUPJUY H MeJTJUP[]fcj H QR[]O JBjN H QR[]Osup1admacr s j^

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBΩ out

Objects

Γ

inΩ

inΩ

Background Part

-t not Upv copy ETHEgraveIcircAtildeampAacuteiacuteCcedil=AumlFcedilAtilde5ordm|sup1Aumldraquo~AElig9AumldOgravefrac14raquoUacutesup1Igravefrac14dordm|Atilde

Ω

Ω out (τ)Ω

(τ)in

N

Γ(τ)

Ω

N

v

w

N

-t not Upv ETHEgraveIcircAtildeyEcircAumldIgravefrac14dsup1raquo~AEliggfrac14raquoiEcircAacuteIcircAtilde$AcircnAtilde5AgraveAacuteAumlcedilAEliggsup1raquoUAcircnAumldfrac12AcircnAtildeEcircsup1raquoiexclAacuteIcirc~Atilde$EcircAtildecedilsup1Acirc|frac14ZAacutesup1Aumldraquo

uumlnyacutenthornnyumll13YSordmY_F2ordf

yenKbrvbarsect =4 acirc $ Smacr

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 Atilde|IumligraveAacuteAtildecedil4frac14ZAacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvyzU eacuteWsup1ordm|AringcedilAtilde5AEligfrac14iquest Eacuteiquest AgraveJ]iUumlAcircnAumldfrac12AringAacutesup1Auml|raquoOtildeAumlOgraveeAacuteIcirc~Atildeyfrac14dAgrave Aacutesup1Acirc|Atilde0AgraveAuml|raquoLAacuteAuml|AringcedilIgravefrac14raquoifrac14ordm|AtildeEcircUacuteEacuteLfrac34AacuteIcirc~AtildefTHORN$Uuml v qzqwsup1raquo~Agrave5frac12AringiEcircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquoifrac14frac12ampAacuteAtildecedilIgrave(AElig5IumlgeacuteWsup1ordm|AringcedilAtilde5AEligOtildeEcirc]iquest Atildediquest Ograve] g sup1AEligwAringifrac14frac12sup1Ocirc5frac14Aacutesup1Auml|raquo`AumldOgrave0AacuteIcirc~AtildeTAgrave5AumldcedilwcedilAtilde5AEligwOumlPAumldraquoiEcircsup1raquoordmAcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 OgraveuAring~raquoAgraveAacutesup1Auml|raquosup1raquo~Agrave5frac12Aring~Ecircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquo~frac14dfrac12ampAacuteAtildecedilIgrave(AEligraquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirc EacutePAtildeAacuteiacuteCcedil=Atilde5Atilde5raquo ugrave frac14draquoiEcirc divide JUiquestAEligwAring~Agrave4IcircTAacuteIcirc~frac14Aacute$AacuteIcircAtilderaquo~Atilde5ordm|frac14Aacutesup1AcircnAtildeAcircdfrac14dfrac12AringAtilde5AElig0frac14cedilAtildefrac12AumlCcedilEgraveAtildecedilyAacuteIcirc~frac14draquo uacutedivide Uacutefrac14raquoiEcircaumlAacuteIcirc~AtildeOumlPAumldAEligwsup1Aacutesup1AcircnAtilde(Aumldraquo~Atilde5AEligyfrac14ZcedilAtilde(Icirc~sup1ordm|IcircAtildecedilAacuteIcircifrac14raquo uacuteZdivide Iuml

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

Ecirc]Iumligraveraquo~sup1currenAacutesup1frac14dfrac12BAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 Atilde|IumligraveAacuteAtilde cedil4frac14Aacutesup1Auml|raquo ugravedugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not Upv ucirc eacuteWsup1ordmdAringcedilAtilde5AEligtimesfrac14iquest Eacuteiquest AgraveJ]ampUumlAcirc|Auml|frac12AringAacutesup1Auml|raquoAumlOgrave(AacuteIcirc~Atildearingfrac14AgraveAacutesup1AcircnAtildeOslashAgrave5Auml|raquoLAacuteAumldAringcedilIacuteIgravefrac14draquoifrac14ordm|AtildeEcirc`EacuteUfrac34AacuteIcircAtildeOcircfTHORN$Uumlv q w iquestiexclCcedilgsup1currenAacuteIcirc~AumldAringAacuteAacuteIcirc~Atildefrac14dEcirc~Ecircsup1Aacutesup1Aumldraquoifrac14dfrac12TAacuteAtildecedilIgrave(AElig5IumliexcleacuteWsup1ordm|AringcedilAtildeAElig Ecirc]iquest Atildediquest Ograve] g sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo AumlOgraveaeligAacuteIcirc~AtildeAgraveAumldcedilwcedilAtildeEumlAEligwOumlPAuml|raquo~Ecircsup1raquo~ordm AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 OgraveregAring~raquo~Agrave Aacutesup1AumldraquoeumlCcedilgsup1currenAacuteIcirc~Auml|AringAacuteIacuteAacuteIcircAtilde frac14|Ecirc~Ecircsup1currenAacutesup1Aumldraquoifrac14frac12FAacuteAtildecedilIgrave(AElig v raquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirceumlAEligwAring~Agrave4Icirc AacuteIcirc~frac14AacuteIgravefrac14icirc vOOtilde wpOumldivide z w Iuml

uumlnyacutenthornnyumll13YSordmY_F2

S $amp)(+-)013021+345627893lt=gt9A6CB

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIumligravesAacuteAtildecedil4frac14Aacutesup1Aumldraquogt ugrave|ugrave AgravedIumlieacuteWsup1raquoifrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12Acirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 AtildedIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIumlieacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvtimesLg sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo(AumldOgravePAacuteIcirc~AtildeAtildeAcircnAuml|frac12AringAacutesup1AumldraquoAumldOgravePAacuteIcircAtildeEgraveAgrave5Auml|raquoLAacuteAumldAringcedil-frac14draquo~EcircNtildeAacuteIcirc~AtildeEgraveAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 v Ccedilgsup1AacuteIcircAuml|AringAacuteAacuteIcircAtildeEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircFAacuteAtilde cedilIgrave w OgraveregAumldcedilEgraveAacuteIcircAtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoAumlOgraveAacuteIcircAtilde9Ograveufrac14dAgrave5AtildeAring~AEligwsup1raquo~ordmyAacuteIcirc~Atilde9Agrave5AumlZAcirc|frac14Zcedilsup1frac14draquo~AgraveAtildeIgravefrac14Aacutewcedilsup1currenicirc]Iuml

frac14Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcircnAtilde EacuteIumligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 v AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde w Agrave|Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacutefrac34 v Acircdfrac14cedilsup1frac14draquoAgrave5Atilde w-t not Upv h=AumldIgrave(Oumlifrac14cedilsup1AEligwAumldraquoOtildeAumldOgraveAacuteIcirc~Atilde$sup1raquo~sup1currenAacutesup1frac14dfrac12eAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34iexclAgrave5Auml|Igrave(OumlAringAacuteAtildeEcircAringAEligwsup1raquo~ordmAacuteIcirc~Atilde$AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde0Igravefrac14Aacutewcedilsup1currenicircv iordmdAringcedilAtildeFEacute w AacuteAumliexclAacuteIcircAtildeAuml|raquoAtildeFAgrave5AumldIgrave(Ouml~AringAacuteAtildeEcircTAringAEligwsup1raquo~ordmiexclAacuteIcircAtildeFAcircdfrac14cedilsup1frac14draquoAgrave5Atilde v ~ordm|AringcedilAtildeFAgrave w OgraveregcedilAumldIgrave AacuteIcirc~AtildeNtildeAEligfrac14dIgrave(Atildesup1raquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcirc|Atilde v iordmdAringcedilAtilde$frac14 w Iuml

uumlnyacutenthornnyumll13YSordmY_F2_a

yenKbrvbarsect =4 acirc $ ]z

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv Oslash| THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5AtildeccediliacuteAtildecedilsup1UgraveUegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_o

Si $amp)(+-)013021+345627893lt=gt9A6CB

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv ordf THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5Atildeccedilqfrac14dUgraveUsup1currenfrac34LAumldegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_y

RR-0114-SJEHANpdf
  • wwwi3sunicefr
    • httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf
Page 3: LABORATOIRE INFORMATIQUE, SIGNAUX ET SYSTEMES DE …mh/RR/2001/liste-2001.pdf · 2002. 6. 27. · [Dir01] DIRAT L. “Outils pour des Mathématiques Interactives et Distribuées”

LABORATOIRE I3S Les Algorithmes Euclide B ndash 2000 route des Lucioles ndash BP 121

06903 Sophia Antipolis Cedex ndash Teacutel (33) 492 942 701 ndash Teacuteleacutecopie (33) 492 942 898 httpwwwi3sunicefrI3SFR Pour tout renseignement srsquoadresser agrave Micheline Hagneacutereacute Teacutel (33) 492 942 704 ndash email mhi3sunicefr

[Mal00] MALLET F

ldquoModeacutelisation et eacutevaluation de performances drsquoarchitectures mateacuterielles numeacuteriquesrdquo Thegravese de Doctorat Sciences mention ldquoSciences pour lrsquoIngeacutenieurrdquo Universiteacute de Nice - Sophia Antipolis 21 Deacutecembre 2000

[Mar00] MARLIN N

ldquoCommunications Structureacutees dans les Reacuteseauxrdquo Thegravese de Doctorat Sciences mention Informatique Universiteacute de Nice - Sophia Antipolis Juin 2000

[Mom00] MOMPRIVEacute S

ldquoClassification automatique de cibles observeacutees par un systegraveme optroniquerdquo Thegravese de doctorat mention Sciences Pour lrsquoIngeacutenieur Universiteacute de Nice-Sophia Antipolis Octobre 2000

[Rai00] RAIMBAULT S

ldquoContribution agrave la Conception et au Prototypage de Systegravemes sur Silicium Evaluation Fonctionnellerdquo Thegravese de Doctorat Sciences mention Informatique Universiteacute de Montpellier II 19 Deacutecembre 2000 151 pages

[Sag00] SAGNOL D

ldquoConception et Optimisation de Programmes agrave Objets Parallegraveles Reacutepartis et Multithreadesrdquo Thegravese de Doctorat Sciences mention ldquoInformatiquerdquo Universiteacute de Nice - Sophia Antipolis 5 Juin 2000

[Sam00] SAMSON C

ldquoContribution agrave la classification drsquoimages satellitaires par approche variationnelle et eacutequations aux deacuteriveacutees partiellesrdquo Thegravese de Doctorat mention Sciences Pour lrsquoIngeacutenieur Speacutecialiteacute ldquoTraitement des imagesrdquo Universiteacute de Nice-Sophia Antipolis 26 Septembre 2000 204 pages

[Ser00] SERRANO M

ldquoVers une programmation fonctionnelle praticablerdquo Habilitation agrave diriger des recherches Septembre 2000 Universiteacute de Nice - Sophia Antipolis

[Tou00] TOURET A

ldquoLrsquoespace geacuteographique et lrsquoaccessibiliteacute vers une approche unifieacutee analytique-systeacutemiquerdquo Thegravese de Doctorat Sciences mention ldquoInformatiquerdquo Universiteacute de Nice - Sophia Antipolis 21 Deacutecembre 2000

[Pas00] PASQUIER N

ldquoData mining Algorithmes drsquoextraction et de reacuteduction des regravegles drsquoassociation dans les bases de donneacuteesrdquo Thegravese de Doctorat Universiteacute Blaise Pascal Clermond-Ferrand II Feacutevrier 2000 234 pages

[Ber01] BERGER L

ldquoMise en Oeuvre des Interactions en Environnements Distribueacutes Compileacutes et fortement Typeacutes le Modegravele MICADOrdquo Thegravese de doctorat mention Informatique Universiteacute de Nice-Sophia Antipolis Octobre 2001

[Cay01] CAYOT R-O

ldquoReacutecupeacuteration automatique drsquoerreurs syntaxiques en analyse discriminante reacutetrograderdquo Thegravese de doctorat Sciences mention Informatique Universiteacute de Nice-Sophia Antipolis Deacutecembre 2001

LABORATOIRE I3S Les Algorithmes Euclide B ndash 2000 route des Lucioles ndash BP 121

06903 Sophia Antipolis Cedex ndash Teacutel (33) 492 942 701 ndash Teacuteleacutecopie (33) 492 942 898 httpwwwi3sunicefrI3SFR Pour tout renseignement srsquoadresser agrave Micheline Hagneacutereacute Teacutel (33) 492 942 704 ndash email mhi3sunicefr

[Cou01] COUDERT D

ldquoAlgorithmique et optimisation de reacuteseaux de communications optiquesrdquo Thegravese de doctorat mention Sciences Pour lrsquoIngeacutenieur Universiteacute de Nice-Sophia Antipolis Deacutecembre 2001

[Cre01] CRESCENZO P

ldquoOFL Un modegravele pour parameacutetrer la seacutemantique opeacuterationnelle des langages agrave objets - Application aux relations inter-classesrdquo Thegravese de doctorat mention Informatique Universiteacute de Nice-Sophia Antipolis Deacutecembre 2001

[Cue01] CUESTA F

ldquoSynthegravese des ressources de communication pour la conception de systegravemes embarqueacutes temps reacuteel flots de donneacuteesrdquo Thegravese de doctorat mention Informatique Universiteacute de Nice-Sophia Antipolis Octobre 2001

[Dir01] DIRAT L

ldquoOutils pour des Matheacutematiques Interactives et Distribueacuteesrdquo Thegravese de doctorat mention Informatique Universiteacute de Nice-Sophia Antipolis Janvier 2001

[Far01] FARREacute J

ldquoSur quelques aspects theacuteoriques et pratiques de la compilationrdquo Habilitation agrave Diriger des Recherches Sciences de lrsquoIngeacutenieur Universiteacute de Nice-Sophia Antipolis Deacutecembre 2001

[Jal01] JALOBEANU A

ldquoModegraveles estimation bayeacutesienne et algorithmes pour la deacuteconvolution drsquoimages satellitaires et aeacuteriennesrdquo Thegravese de doctorat mention Sciences pour lrsquoIngeacutenieur Universiteacute de Nice-Sophia Antipolis Deacutecembre 2001

[Muh01] MUHAMMAD W

ldquoEstimation de retards de facteurs drsquoeacutechelle et de variations de forme de signaux vectoriels application aux signaux biomeacutedicauxrdquo Thegravese de Doctorat Sciences mention ldquoElectroniquerdquo Universiteacute de Nice-Sophia Antipolis 9 Feacutevrier 2001

[Sto01] STOICA R

ldquoProcessus Ponctuels pour lrsquoExtraction de Reacuteseaux Lineacuteiques dans les Images Satellitaires et Aeacuteriennesrdquo Thegravese de Doctorat Sciences mention ldquoInformatiquerdquo Universiteacute de Nice-Sophia Antipolis 9 Feacutevrier 2001

LABORATOIRE I3S Les Algorithmes Euclide B ndash 2000 route des Lucioles ndash BP 121

06903 Sophia Antipolis Cedex ndash Teacutel (33) 492 942 701 ndash Teacuteleacutecopie (33) 492 942 898 httpwwwi3sunicefrI3SFR Pour tout renseignement srsquoadresser agrave Micheline Hagneacutereacute Teacutel (33) 492 942 704 ndash email mhi3sunicefr

Rapports de Recherche ndash Rapports Techniques RR 00-01 CAPOUILLEZ A CHIGNOLI R CRESCENZO P LAHIRE P

ldquoHow to Improve Persistent-Object Management using Relationship Information rdquo Rapport de Recherche I3SRR--2000-01--FR Mai 2000 14 pages

RR 00-02 CAPOUILLEZ A CHIGNOLI R CRESCENZO P LAHIRE P

ldquoGestion des objets persistants gracircce aux liens entre classesrdquo Rapport de Recherche I3SRR--2000-02--FR Avril 2000 10 pages

RR 00-03 CRESCENZO P PAQUELIN J-L

ldquoInfeacuterence de type et langages agrave objets de classesrdquo Rapport de Recherche I3SRR--2000-03--FR Feacutevrier 2000 10 pages

RR 00-04 PRONZATO L

ldquoExperimental design with random regressors at the design stagerdquo Research Report I3SRR--2000-04--FR March 2000 13 pages

RR 00-05 CAPOUILLEZ A CHIGNOLI R CRESCENZO P LAHIRE P

ldquoModeling hypergeneric relationships between types in XMLrdquo Research Report I3SRR--2000-05--FR March 2000 9 pages

RR 00-06 ANDREacute C PEacuteRALDI-FRATI M-A

ldquoBehavioral Specification of a Circuit using SyncCharts A Case Studyrdquo Research Report I3SRR--2000-06--FR March 2000 9 pages

RR 00-07 CAPOUILLEZ A CHIGNOLI R CRESCENZO P LAHIRE P

ldquoTowards a More Suitable Class Hierarchy for Persistent Object Managementrdquo Rapport de Recherche I3SRR--2000-07--FR Mai 2000 9 pages

RR 00-08 PRONZATO L THIERRY E

ldquoA Minimum-Entropy Estimation for Regression Problems with Unknown Distribution of Observation Errorsrdquo Research Report I3SRR--2000-08--FR June 2000 14 pages

RR 00-09 GRELLIER O COMON P

ldquoAnalytical Blind Channel Identificationrdquo Research Report I3SRR--2000-09--FR June 2000 25 pages

RR 00-10 CAPOUILLEZ A CHIGNOLI R CRESCENZO P LAHIRE P

ldquoHyper-geacuteneacutericiteacute pour les langages agrave objets le modegravele OFLrdquo Rapport de Recherche I3SRR--2000-10--FR Septembre 2000 16 pages

RR 00-11 ANDREacute Ch

ldquoSynchronous Interface Behabior - Syntax and Semanticsrdquo Rapport de Recherche I3SRRmdash2000-11mdashFR Deacutecembre 2000 17 pages

RR 00-12 PRONZATO L THIERRY E

ldquoSequential Experimental Design and Response Optimisationrdquo Rapport de Recherche ndeg I3SRR--2000-12--FR Deacutecembre 2000 12 pages

RR 00-13 JEHAN-BESSON S BARLAUD M AUBERT G

ldquoEulerian Region-Based Active Contours for Segmentation and Tracking of Non-Rigid Video Objectsrdquo Rapport de Recherche ndeg I3SRR--2000-13--FR Deacutecembre 2000

LABORATOIRE I3S Les Algorithmes Euclide B ndash 2000 route des Lucioles ndash BP 121

06903 Sophia Antipolis Cedex ndash Teacutel (33) 492 942 701 ndash Teacuteleacutecopie (33) 492 942 898 httpwwwi3sunicefrI3SFR Pour tout renseignement srsquoadresser agrave Micheline Hagneacutereacute Teacutel (33) 492 942 704 ndash email mhi3sunicefr

RR 00-14 MUHAMMAD W RIX H MESTE O LIEBERT A

ldquoModeacutelisation du Test drsquoOcclusion en Doppler-Laserrdquo Rapport de Recherche ndeg I3SRR--2000-14--FR Deacutecembre 2000 7 pages

RR 00-15 MUHAMMAD W MESTE O RIX H

ldquoComparison of Single and Multiple Time delay Estimators Application to Muscle Fiber Conduction Velocity Estimationrdquo Research Report I3SRR-2000-15--FR December 2000 30 pages

RR 01-01 MIRBEL I DE RIVIEgraveRES V

ldquoUML ad-hoc une deacutemarche modulable drsquoanalyserdquo Rapport de Recherche I3SRR-2001-01--FR Janvier 2001

RR 01-02 FARREacute J FORTES GALVEZ J

ldquoBounded-Connect Noncanonical Discriminating-Reverse Parsingrdquo Research Report I3SRR--2001-02--FR March 2001

RR 01-03 FORTEgraveS GALVEZ J FARREacute J

ldquoGeneralized e-Skip Discriminating-Reverse Parsing on Graph-Structured Stackrdquo Research Report I3SRR--2001-03--FR March 2001

RR 01-04 CAPOUILLEZ A CRESCENZO P LAHIRE P

ldquoOFL lrsquoHyper-Geacuteneacutericiteacute au service du Meacuteta-Programmeur Application agrave Javardquo Rapport de Recherche I3SRR--2001-04--FR March 2001 12 pages

RR 01-05 MIRBEL I DE RIVIEgraveRES V

ldquoTowards a UML Profile for Building on Top of an Existing Applicationrdquo Research Report I3SRR--2001-05--FR March 2001

RR 01-06 CRESCENZO P

ldquoOFL les relations et descriptions drsquoEiffel et de Javardquo Rapport de Recherche I3SRR--2001-06--FR Avril 2001 24 pages

RR 01-07 CAPOUILLEZ A CRESCENZO P LAHIRE P

ldquoSeparation of Concerns in OFLrdquo Research Report I3SRR--2001-07--FR Avril 2001 9 pages

RR 01-08 FRANCISCI D

ldquoData Mining et Algorithmes Eacutevolutionnairesrdquo Rapport de Recherche I3SRR--2001-08--FR Mai 2001 46 pages

RR 01-09 FARREacute J FORTEgraveS GALVEZ J

ldquoBounded-Connect Noncanocical Discriminating-Reverse Parsingrdquo Research Report I3SRR--2001-09--FR March 2001 13 pages

RR 01-10 FORTEgraveS GALVEZ J FARREacute J

ldquoGeneralized e-Skip Discriminating-Reverse Parsing on Graph-Structured Stackrdquo Research Report I3SRR--2001-10--FR March 2001 9 pages

RR 01-11 MICHEL C RUEHER M LEBBAH Y

ldquoGraphical user Interfaces with Biglookrdquo Research Report ndeg I3SRR--2001-11--FR Septembre 2001 16 pages

LABORATOIRE I3S Les Algorithmes Euclide B ndash 2000 route des Lucioles ndash BP 121

06903 Sophia Antipolis Cedex ndash Teacutel (33) 492 942 701 ndash Teacuteleacutecopie (33) 492 942 898 httpwwwi3sunicefrI3SFR Pour tout renseignement srsquoadresser agrave Micheline Hagneacutereacute Teacutel (33) 492 942 704 ndash email mhi3sunicefr

RT 01-12 SERRANO M Ed

ldquoSCHEME 2001 - Workshop Proceedings - Second Workshop on Scheme and Functional Programming September 2 2001 Florence Italy Technical Report ndeg I3SRT--2001-12--FR Septembre 2001 73 pages

RR 01-13 GALLEacuteSIO E SERRANO M

ldquoGraphical user Interfaces with Biglookrdquo Research Report ndeg I3SRR--2001-13--FR Septembre 2001 38 pages

RR 01-14 JEHAN-BESSON S BARLAUD M AUBERT G

ldquoDREAM2S Deformable Regions driven by an Eulerian Accurate Minimization Method for image and video Segmentationrdquo Rapport de Recherche ndeg I3SRR--2001-14--FR Novembre 2001 38 pages

RR 01-15 COLLET P

Fiabiliteacute des systegravemes agrave objets persistants les assertions persistent Rapport de Recherche ndeg I3SRR--2001-15--FR Janvier 2001 16 pages

RR 01-16 COLLET P ldquoOn Contract Monitoring for the Verification of Component-Based Systems Rapport de Recherche ndeg I3SRR--2001-16--FR Octobre 2001 5 pages

RR 01-17 COLLET P ldquoFunctional and Non-Functional Contracts Support for Component-Oriented Programming Rapport de Recherche ndeg I3SRR--2001-17--FR Octobre 2001 3 pages

mh
I3SRR--2001-14--FR

httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf

Document seacutecuriseacute incorporeacute

Le fichier httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf est un document seacutecuriseacute incorporeacute dans le preacutesent document Cliquez deux fois sur le bouton pour lafficher

httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf [27062002 110813]

LABORATOIRE

INFORMATIQUE SIGNAUX ET SYSTEgraveMESDE SOPHIAANTIPOLIS

UMR 6070

DREAM2S DEFORMABLE REGIONS DRIVEN BY ANEULERIAN ACCURATE M INIMIZATION METHOD FOR

IMAGE AND VIDEO SEGMENTATION

Stephanie JEHAN-BESSON Michel BARLAUD Gilles AUBERT

Projet CREATIVE

RapportderechercheI3SRRndash2001-14ndashFR

novembre 2001

LABORATOIRE I3S LesAlgorithmes EuclideB ndash 2000routedesLuciolesndash BP 121ndash06903Sophia-Antipolis Cedex Francendash Teacutel (33) 492942701ndash Teacuteleacutecopie (33) 492942898

httpwwwi3sunicefrI3SFR

REacuteSUMEacute

MOTS CLEacuteS Contours actifsbaseacutes reacutegions optimisation de domaine segmentation non superviseacutee deacutetection de visage deacuteter-minant dela matricedecovariance

ABSTRACT Originally active contours wereboundary-basedmethods They weredriven towardstheedgesof animagefromtheminimization of a criterionwith only boundary-basedtermsThemainpurposeof region-basedactive contours is to maketheactivecontour evolveusinginformationontheregionsin addition to theclassicalboundary-basedinformation

We proposeherea generalEulerian framework for region-basedactive contours namedDREAM2SWe introducea generalcriterion includingbothregion-basedandboundary-basedtermswheretheinformationontheregionsis embeddedin afunctionnameddescriptor Theoriginality of thiswork is twofold Firstly weproposeto useshapeoptimization principlesto computetheevolution equationof theactivecontour thatwill makeit evolveasfastaspossibletowardsaminimumof thecriterionSecondlywe take into account thevariationof thedescriptors during thepropagationof thecurve Indeed a descriptor maybegloballyattachedto the region andthusregion-dependentIt happens whenstatisticalfeatures of a region like for example the meanor thevariance of a region areselectedasdescriptors We show that thedependenceof thedescriptors on the region inducesadditional termsin theevolution equationof theactive contour thathave not beenpreviously computed DREAM2S gives aneasyway to takesuchadependenceinto account andto computetheresultingadditional terms

Experimental resultspoint out the importanceof the additional termsto reacha true minimum of the criterion andso toconverge on accurate results The covariancematrix determinant appears to be a very relevant tool for homogeneous colorregionssegmentationAs anexample it hasbeensuccessfullyappliedto facedetectionin realvideosequences

KEY WORDS Region-basedactivecontoursshapeoptimizationunsupervisedsegmentationfacedetection covariancematrixdeterminant

13 $ amp()+$-0123(4-5766-398( 1 lt=98ampgt8BA(0)CD ampE()gt+F)-0-amp=$8B98amp

GBHBIJLKMNPOQRJTSPJUMNPOWV4XFJUYZY[]ONPO^`_aQcbdMeJUfgXNihfcNPj^kBlnmodpqldrsodtupwvyx z|~B9iZ]nn pqodUrvFLv ke~tRo|v n|L zio UtclF9~rRt o| tuBpwldi4v vld~cmldp ldZP=tRz|U~tR v p QsfcfRJUY iexcljcent=JLh HkBlnmodpqldrsodtupwvFpoundcurren0]yenamptsv nod$brvbarv 9BiZPampUsect9lpwTumll| pqodvnncopynordf tc4v-vwLvwlaquo Bpwldi4vnot ldm4v p r=shyldrreg~Utc4v p

macrdegWplusmn5sup25sup3Zacuteimicro|sup2|para7middotcedilsup1ordm|sup1raquo~frac14dfrac12frac12currenfrac34Liquestefrac14dAgrave Aacutesup1Acirc|Atilde(Agrave5Auml|raquoLAacuteAuml|AringcedilAElig$CcedilEgraveAtildecedilAtilde(EacutePAumldAring~raquoiEcircfrac14cedilwfrac34UEumlsEacuteifrac14AEligwAtildeEcircIacuteIgrave(AtildeAacuteIcircAumlUEcircAElig5IumlETHEgraveIcirc~Atilde frac34TCcedil=AtildecedilAtildeEcirccedilsup1AcircnAtilde5raquoNtildeAacuteAumlZCcedilEgravefrac14cedil4EcircAElig=AacuteIcirc~AtildegAtildeEcircordm|Atilde5AEligEgraveAumlOgravefrac14draquosup1Igravefrac14dordm|AtildegOgraveregcedilAumldIgraveOacuteAacuteIcircAtildeIgrave(sup1raquosup1Igrave(sup1Ocircfrac14ZAacutesup1Auml|raquo(AumldOgravefrac14yAgravecedilsup1currenAacuteAtildecedilsup1Auml|raquo(Ccedilgsup1currenAacuteIcircAuml|raquo~frac12currenfrac34EacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircOtildeAacuteAtildecedilIgrave(AElig5IumlETHEgraveIcirc~Atilde(Igravefrac14sup1raquotimesOuml~AringcedilOumlPAuml|AEligwAtildeAumlOgraveEgravecedilAtilde5ordmdsup1AumldraquoEumlsEacuteifrac14AEligwAtildeEcircOslashfrac14dAgrave Aacutesup1Acirc|AtildeAgrave5Auml|raquoLAacuteAumldAringcedilAEligysup1AEligyAacuteAumliexclAacuteAumlIgravefrac14dUgravenAtilde9AacuteIcirc~Atildefrac14dAgraveAacutesup1AcircnAtilde$Agrave5AumldraquoLAacuteAuml|AringcedilgAtildeAcircnAuml|frac12AcircnAtildeampAringAEligwsup1raquo~ordmFsup1raquoOgraveuAumldcedilIgravefrac14ZAacutesup1Auml|raquoUacuteAumldraquoiexclAacuteIcirc~AtildecedilAtilde5ordm|sup1Auml|raquoAElig5iquestisup1raquoUacutefrac14dEcirc~Ecircsup1Aacutesup1AumldraquoiexclAacuteAumlNtildeAacuteIcircAtildeAgrave5frac12frac14dAEligwAEligwsup1Agravefrac14frac12WEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircsup1raquoOgraveregAumldcedilIgravefrac14Aacutesup1AumldraquoIuml

Ucirc Atilde$OumlcedilAumldOumlPAuml|AEligwAtildeyIcirc~Atilde cedilAtildeyfrac14ordm|Atilde5raquoAtildecedil4frac14dfrac12BUumlAringfrac12Atilde cedilsup1Yacutefrac14raquoUacuteOgraveregcedil4frac14Igrave(AtildeCcedilEgraveAumlcedilUgraveiexclOgraveuAumlcedilcedilAtildeordm|sup1Auml|raquoEumlEacute~frac14dAEligwAtildeEcircOtildefrac14AgraveAacutesup1AcircnAtildeyAgrave5Auml|raquoLAacuteAumldAringcedilAEligraquoifrac14Igrave(AtildeEcircIacuteTHORNampszligUumlagraveampaacuteOtildeacirc5atildePIuml Ucirc Atilde(sup1raquoLAacutewcedilAumlUEcircAringAgrave5Atildefrac14aumlordmdAtilde5raquo~Atilde cedil4frac14dfrac12EgraveAgravecedilsup1currenAacuteAtildecedilsup1Aumldraquoiquestesup1raquo~Agravefrac12Aring~Ecircsup1raquo~ordmaumlEacutePAumlAacuteIcirctimescedilAtilde5ordm|sup1AumldraquoEumlsEacuteifrac14AEligwAtildeEcircfrac14draquo~EcirctimesEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircTAacuteAtildecedilIgrave(AElig5iquestBCcedilgIcircAtildecedilAtildeAacuteIcircAtilde(sup1raquoOgraveuAumlcedilIgravefrac14Aacutesup1Auml|raquoaringAumldraquoaeligAacuteIcirc~Atilde(cedilAtilde5ordm|sup1Aumldraquo~AEligFsup1AEligNtildeAtilde5IgraveFEacutePAtildeEcircEcircAtildeEcircTsup1raquofrac14OgraveregAring~raquo~Agrave Aacutesup1AumldraquoIacuteraquo~frac14dIgrave(AtildeEcircccedilqEcircAtilde5AEligwAgravecedilsup1OumlAacuteAumlcedilegraveIumlBETHEgraveIcirc~AtildeAumlcedilsup1ordm|sup1raquoifrac14frac12sup1currenAacutefrac34aeligAumldOgrave-AacuteIcirc~sup1AEligampCcedilEgraveAumlcedilUgraveaumlsup1AEligampAacuteCcedilEgraveAumlOgraveuAuml|frac12Ecirc]IumlWeacuteWsup1currencedilAEligqAacutefrac12currenfrac34LiquestCcedil=AtildeOumlcedilAumldOumlPAuml|AEligwAtildeyAacuteAumlAringAEligwAtildeNtildeAEligwIcirc~frac14dOumlPAtilde0Auml|OumlAacutesup1Igrave(sup1Ocircfrac14ZAacutesup1Auml|raquoaumlOumlcedilsup1raquo~Agravesup1Oumlfrac12Atilde5AEligAacuteAumlAgrave5AumldIgrave(Ouml~AringAacuteAtildeampAacuteIcircAtildeNtildeAtildeAcircnAuml|frac12AringAacutesup1AumldraquoTAtilde5ecircUAring~frac14Aacutesup1Auml|raquoOtildeAumlOgraveAacuteIcirc~Atilde9frac14dAgrave Aacutesup1Acirc|AtildeAgrave5AumldraquoLAacuteAuml|AringcedilAacuteIcircifrac14ZAacute=Ccedilgsup1frac12frac12PIgravefrac14dUgravenAtildegsup1currenAacute-Atilde5AcircnAuml|frac12AcircnAtildefrac14dAEligOgraveRfrac14AEligqAacutegfrac14dAElig-OumlPAuml|AEligwAEligwsup1Eacute~frac12AtildeAacuteAumlCcedilEgravefrac14cedil4EcircAEligEgravefrac14yIgrave(sup1raquosup1IgraveNtildeAring~IgraveeumlAumlOgraveAacuteIcirc~AtildeAgravecedilsup1currenAacuteAtildecedilsup1Auml|raquoIumliatildeAtildeAgrave5Auml|raquo~Ecircfrac12currenfrac34LiquestLCcedilEgraveAtildeampAacute4frac14UgravenAtildesup1raquoLAacuteAumlfrac14Agrave5Agrave5Auml|AringraquoLAacuteAacuteIcirc~AtildeampAcircdfrac14cedilsup1frac14Aacutesup1AumldraquoAumldOgraveBAacuteIcirc~Atilde$EcircAtilde5AEligwAgravecedilsup1OumlAacuteAumlcedilAEliggEcircAringcedilsup1raquoordmAacuteIcirc~Atilde$OumlcedilAuml|Oumlifrac14ordmnfrac14ZAacutesup1AumldraquoaumlAumldOgraveAacuteIcirc~AtildeyAgrave5AringcedilAcircnAtilde|IumligraveiacuteraquoiEcircAtilde5AtildeEcirc]iquestPfrac14(EcircAtildeAEligwAgravecedilsup1OumlAacuteAumldcedilIgravefrac145frac34EacutePAtildeyordmdfrac12AumldEacuteifrac14frac12frac12currenfrac34aumlfrac14ZAacutewAacute4frac14dAgrave4Icirc~AtildeEcircAacuteAumlAacuteIcircAtildecedilAtilde5ordm|sup1AumldraquoFfrac14raquoiEcircAacuteIcircUAring~AElig5iquestPccedilscedilAtilde5ordm|sup1AumldraquoEumlEcircAtilde5OumlPAtilderaquoiEcircAtilderaquoUAacuteegraveIumlZigraveAacuteIcircifrac14Ouml~OumlPAtilde5raquoAEligCcedilgIcirc~Atilderaquo0AEligqAacute4frac14ZAacutesup1AEligqAacutesup1Agrave5frac14dfrac12LOgraveuAtildefrac14ZAacuteAringcedilAtilde5AEligBAumldOgrave~frac14gcedilAtilde5ordmdsup1Auml|raquoiquestfrac12sup1Ugrave|AtildeFOgraveuAumlcedilFAtildeicircfrac14Igrave(Ouml~frac12AtildeNtildeAacuteIcircAtilde(Igrave(Atildefrac14draquoTAumldcedilyAacuteIcirc~AtildeFAcirc|frac14Zcedilsup1Yacutefrac14raquo~Agrave5Atilde(AumlOgrave9frac14iexclcedilAtilde5ordmdsup1AumldraquoiquestBfrac14cedilAtilde(AEligwAtilde5frac12Atilde5Agrave AacuteAtildeEcircOslashfrac14dAElig0EcircAtildeAEligwAgravecedilsup1OumlAacuteAumldcedilAElig5IumlUcirc AtildeAEligwIcircAumlCcedilAacuteIcirc~frac14AacuteyAacuteIcirc~AtildeEcircAtilde5OumlPAtilde5raquoiEcircAtilde5raquo~AgraveAtilde(AumldOgraveAacuteIcirc~AtildeEcircAtilde5AEligwAgravecedilsup1OumlAacuteAumlcedilAEligNtildeAumldraquotimesAacuteIcirc~AtildecedilAtildeordm|sup1Auml|raquoOslashsup1raquoiEcircAring~Agrave5AtildeAEligNtildefrac14dEcirc~Ecircsup1Aacutesup1Aumldraquoifrac14dfrac12AacuteAtildecedilIgrave(AElig=sup1raquoAacuteIcirc~AtildeAtilde5AcircnAuml|frac12AringAacutesup1AumldraquoAtildeecircLAring~frac14Aacutesup1Auml|raquoAumldOgraveAacuteIcirc~Atildeampfrac14AgraveAacutesup1AcircnAtildeampAgrave5AumldraquoLAacuteAuml|Aringcedil=AacuteIcircifrac14AacuteEgraveIcircifrac14AcircnAtilderaquoAumldAacuteEacutePAtildeAtilde5raquoiexclOumlcedilAtilde5AcircUsup1Auml|Aring~AEligwfrac12currenfrac34Agrave5Auml|Igrave(OumlAringAacuteAtildeEcirc]IumlTHORNampszligUumlagraveampaacuteOtildeacircatildeIacuteordm|sup1AcircnAtilde5AEligFfrac14draquoaeligAtilde5frac14dAEligqfrac34aeligCcedilEgravefrac14frac34TAacuteAumlUacuteAacute4frac14dUgrave|AtildeAEligwAringAgrave Icircaeligfrac14OtildeEcircAtilde5OumlPAtilde5raquo~EcircAtilde5raquoAgrave5Atilde(sup1raquoLAacuteAumlaumlfrac14dAgrave5Agrave5AumldAring~raquoLAacutefrac14draquo~EcircAacuteAumlAgrave5AumldIgrave(Ouml~AringAacuteAtildeAacuteIcirc~AtildecedilAtilde5AEligwAring~frac12currenAacutesup1raquo~ordmfrac14dEcirc~Ecircsup1currenAacutesup1Auml|raquo~frac14dfrac12]AacuteAtildecedilIgrave(AElig5Iuml

UumlicircOumlPAtildecedilsup1Igrave(Atilde5raquoLAacute4frac14dfrac12LcedilAtilde5AEligwAringfrac12currenAacuteAElig-OumlPAumldsup1raquoLAacute-Auml|AringAacuteAacuteIcircAtildesup1Igrave(OumlPAumldcedilwAacute4frac14draquoAgrave5AtildeAumldOgravePAacuteIcircAtildegfrac14|EcircEcircsup1currenAacutesup1Auml|raquoifrac14frac12AacuteAtildecedilIgrave(AEligeAacuteAumlcedilAtilde5frac14dAgrave4Icircfrac14AacutewcedilAring~Atilde-Igrave(sup1raquosup1IgraveFAring~IgraveAumlOgraveiAacuteIcirc~Atilde-Agravecedilsup1currenAacuteAtildecedilsup1Auml|raquo(frac14raquoiEcircyAEligwAumlAacuteAumlAgraveAuml|raquoUAcircnAtildecedilordmdAtildeEgraveAuml|raquoNtildefrac14dAgrave5AgraveAringcedil4frac14AacuteAtildeEgravecedilAtildeAEligwAring~frac12currenAacuteAElig5IumldETHEgraveIcirc~AtildeEgraveAgrave5AumlZAcircdfrac14cedilsup1frac14draquoAgrave5AtildeIgravefrac14Aacutewcedilsup1currenicirc0EcircAtilde AacuteAtildecedilIgrave(sup1raquoifrac14draquoLAacutefrac14Ouml~OumlPAtildefrac14ZcedilAEligeAacuteAumlEacutePAtildefrac14Acirc|Atildecedilwfrac34$cedilAtilde5frac12Atilde5Acircdfrac14draquoLAacuteeAacuteAumlLAuml|frac12UOgraveuAumlcedil-IcircAuml|Igrave(Aumldordm|Atilde5raquoAtilde5Auml|AringAEligeAgrave5Auml|frac12AumldcedilcedilAtilde5ordmdsup1Aumldraquo~AEligAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquoIumlagrave9AEligampfrac14raquoIacuteAtildeicircfrac14Igrave(Ouml~frac12Atilde|iquestPsup1currenAacute$Icirc~frac14dAEligampEacutePAtilde5AtilderaquoIacuteAEligwAringAgrave5Agrave5Atilde5AEligwAEligqOgraveregAring~frac12frac12currenfrac34Tfrac14dOuml~Oumlfrac12sup1Atilde5EcircaumlAacuteAumlOgraveRfrac14Agrave5Atilde(EcircAtilde AacuteAtilde5AgraveAacutesup1Auml|raquoTsup1raquocedilAtildefrac14dfrac12AcircUsup1EcircAtilde5AumlAEligwAtilde5ecircUAringAtilde5raquo~AgraveAtilde5AElig5Iuml

iumlethUntildeograve0oacute sup3ocircWplusmn|otildeszligAtildeordm|sup1Auml|raquoEumlEacute~frac14dAEligwAtildeEcircaringfrac14AgraveAacutesup1AcircnAtildeiexclAgraveAuml|raquoLAacuteAuml|AringcedilAElig5iquestAEligwIcircifrac14dOumlPAtildeiexclAuml|OumlAacutesup1Igrave(sup1Ocircfrac14ZAacutesup1Auml|raquoiquestWAring~raquo~AEligwAringOumlPAtildecedilAcircUsup1AEligwAtildeEcircOslashAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoiquestUOgraveRfrac14dAgraveAtildeyEcircAtildeAacuteAtilde5Agrave Aacutesup1Aumldraquoiquest~Agrave5AumlZAcirc|frac14Zcedilsup1Yacutefrac14raquo~Agrave5Atilde$Igravefrac14ZAacutewcedilsup1currenicircEcircAtildeAacuteAtildecedilIgrave(sup1raquoifrac14raquoLAacuteIuml

Agraveoumloslashdividedugrave|ugraveUuacute 9v vwldpq4Uacute9vop r-g nncopy copyucirc x z|iB9aumlio UtclF9~rRt o| tug]pwldi v

uumlnyacute|thornLyuml13

$amp)(+-)013021+345627893lt=gt9A6CBDFEHGIKJLMONQPltRSJT2MgtI

b H QVUPJOslashbn[]O H []jhYOtildeNihZJaeligKEgrave[WFJLhYXiacutejf H [B[]fcY5Xiacute[PhUacuteQCZaringN[PJOslashNPO^UBQc^JL[YZJ[]ZOslashJUO H N H Qc[]OO^G QsObnJ H MeJ[PhQV[]QcONPf_WF[PhY` []O YZON`PJUYbacaumlNPYZYaJ H NPfd^VegfhSiSi]jeiexclNPO Jk H JUOYQVUPJhZJUYZJUNihbMMNPYaeligcent=JLJUO7KEgraveJLhYXiacute[PhlZOslashJU^ H MN H fRJUNP^Y H [B^Nm H [ H MJjYJ[SXon5hJ[]QR[]OWVcentNPYZJU^NPb H QVUPJTbn[]O H []jehYYp^q hQV[]QcONPfsfVmSeNPb H QVUPJ bn[]O H []jehdYWFJLhZJ centEgrave[]jO^NihYmVcentNPYJU^bZOslashJ H Me[W^Yoaq jecentEgraveJLh HNPO^rcOtilde[PhdOeKhZ[PcentY H e sSs fj^ G ON`PJUYtacaumlNPYZYaeligJ H NPfd^VeufhSiSi]jeycent-NPfcfR[B[]OYoa)v[]MeJUOOefhShfj[Phw[PJL[W^eJUYZQcbNPb H QVUPJbn[]O H []jehdYxa)vNPYZJUfcfRJUY J H NPfd^VeyfhSh]zSj`NihZJOacute^hQVUPJUOH [WFNih^Y H MeJ JU^[PJUY [SXOtildeNPOQZaringN[PJS^|MeJ JUP[]fcj H QR[]OJjN H Qc[]O QcYOslashbn[]ZOslashK-j H JU^XiacutehZ[]ZNaumlbnhQ H JLhQR[]O H MN H []OfVmtimesQsObLfcj^eJUYNaumlfR[WbLNPfQcOFX[PhlZ N H QR[]Otimes[]O H MeJ(centEgrave[]jO^NihYm[SX H MeJauml[Pcent~JUb HH [ YZJ[]ZOslashJUO H ^MeJt`PJmQc^eJUNOacute[SXOtildehZJ[]QR[]OWVcent-NPYJU^ NPb H QVUPJeumlbn[]O H []jehYehY H fVmKh[PK=[]YZJU^ centma)vF[]MJUOTJ H NPfd^VefhShS[]OXqNih^OefhShje]QsY H [OtildeQcO H hZ[B^jbnJ0N_[]fR[PcentNPfBQcOXiacute[PhlZaringN H QR[]O[]O H MeJIacute^QV=JLhZJUO H hZJ[]Qc[]OY H [ YJ[]ZOslashJUO H QcOaNP^^Q H QR[]O H [ H MeJIacutecent=[]jO^NihYmVcentNPYJU^QcOFX[PhlZ N H QR[]OOe H [_ZaringN`PJ H MeJNtildeNPb H QUPJNtildebn[]O H []jehJUP[]fUPJS^iexcl[WFJUPJLhePQ H QcYgO[ H9H hQVUWQcNPfH [timesbn[]ZOslashKj H J H MeJJUP[]fcj H QR[]OaringJBjN H QR[]O [SX H MeJiexclNPb H QVUPJUacutebn[]O H []jeh H MN H WQcfsfZaringN`PJQ H JUP[]fUPJ H [WFNih^Y0NyZ QcOQZtimesjFZ[SXNTbnhQ H JLhdQR[]OOslashQcObLfcj^QcO[centEgrave[ H MOslashhZJ[]QR[]OWVcent-NPYJU^NPO^centEgrave[]jO^NihYmVcentNPYJU^ H JLhlZaringY^JUbnJUO H fmSeZaringNPOm KNiKEgraveJLhY MNUPJeumlNP^^ehZJUYYJU^ H MQsYOslashKhZ[PcentfcJZ^0 hZJUWQRJW [SXH MeJUYZJrZaringJ H Me[B^Y QsY`KhZ[PKEgrave[]YJU^1QcO G JUb^ ^ G []ZOslashJ[SX H MeJUYZJxWF[PhY`WY^e[ Oe[ Hbn[]ZOslashK-j H J H MeJ H MeJL[PhZJ H QcbLNPfJkWKhZJUYZYZQc[]O[SX H MeJUPJUfR[BbLQ H mUPJUb H [PhOtilde[SX H MeJtimesNPb H QVUPJbn[]O H []jehcentj H H MeJm bdMe[[]YZJ H MeJ ^QcYKfcNPbnJZaringJUO H H MN H WQcfcf_ZaringN`PJ H MeJbnhQ H JnVhQc[]O ^JUbnhZJUNPYJa)vMN`hNicentEgrave[Ph H m J H NPf)^VefhShSvMeJUYONPj^ J H NPfd^VefhShSh]j^ qH MeJLhWF[PhY`WYKh[PK=[]YZJ H MeJIacutebn[]ZaringKj H N H QR[]O`[SX H MeJUPJUfR[BbLQ H mUPJUb H [PhOtildecentm hZJU^jbLQcOF[ H MeJWM[]fRJOacuteKh[PcentfRJZ H [ centEgrave[]jO^NihYm QcO H J[PhdNPfcYxa)MjNPO^0jQcfcfcJSeyfhShSgampNihN~V[]QR[]Y`NPO^JLhQsbMeJSefhShSh]j[Ph`centm jYQcO[ H MeJ7fRJUPJUfTYJ H ZOslashJ H Me[W^a G NSZ Y[]OJ H NPf)^Ve sSsSs Ov(MNPONPO^$JUYZJSe sSs fj^OMeJm H MeJUOjYZJ H MeJyNtildejfRJLhVAN[PhNPO[PJJBjN H QR[]OY H [ bn[]ZOslashKj H J H MJaumlJUP[]fcj H QR[]OJjN H Qc[]OO^iexcl[WFJUPJLhe H MeJOtildeQcOXiacute[PhlZaringN H QR[]O []O H MeJauml^Q=JLhJUO H hZJ[]QR[]OYe H MN H WNtildeJaumlbLNPfsfMeJLhZJn^eJUYbnhQRK H [Phlp [SX H MeJIacutebn[PhhZJUYKEgrave[]O^QcOF[aringhZJ[]QR[]OOeKZaringNmacent=Jy[]fR[PcentNPfcfVm N HH NPbdMeJU^ H [H MeJ(hJ[]QR[]OO^S5O^eJLJU^OslashQ H [WbLbLjehYXiacute[Ph0Y H N H QcY H QcbLNPf^eJUYZbnhdQRK H [PhYampYZjbdMaringNPY H MeJ_ZOslashJUNPOOeH MeJUiNihQcNPObnJ[Ph H MJMQcY H [S[PhNSZ [SX H MeJ hZJ[]QR[]O^Q5O bLNPYJ [SXUacutejOYZjK=JLhlUBQcYZJU^YJ[]ZaringJUO H N H QR[]Oe H MeJUYZJ ^eJUYZbnhdQRK H [PhYIacuteNihZJ hZJnVJUiNPfcjN H JU^JUNPbM H QZaringJ H MeJ NPb H QVUPJbn[]O H []jehJUP[]fVUPJUYiexclNPO^aY[ H MeJmU~Nihlm^jehQcO[ H MeJIacuteKhZ[PKN[]N H Qc[]O[SX H MeJtimesNPb H QVUPJbn[]O H []jeh^yhZJUWQR[]jYWF[PhY`BYIacute[]O7hZJ[]QR[]OWVcent-NPYJU^NPb H QUPJbn[]O H []jehYaelig^e[eumlOe[ HIacuteH N`PJQcO H [ NPbLbn[]jO HaumlH MQcYKEgrave[]YZYZQRcent-fRJyUiNihQcN H QR[]Oeuml[SX H MeJaring^eJUYbnhQRK H [PhY H [bn[]ZOslashK-j H J H MeJJUP[]fcj H QR[]OJjN H QR[]O[SX H MeJTNPb H QVUPJIacutebn[]O H []jeh^ JTKhZ[PKEgrave[]YJaumlMeJLhZJaumlN[PJUOeJLhNPfNtildejfRJLhQcNPOoXiacutehNSZOslashJWF[PhY`X[PhhZJ[]QR[]OWVcentNPYZJU^NPb|V

H QVUPJbn[]O H []jehY`ONSZOslashJU^ iexcl_0 Uacute_wcent G aiexclJXiacute[PhlZaringNicent-fRJpoundJ[]QR[]OYa^ehQUPJUO centm NPONtildejfRJLhQcNPO iexclbLbLjhN H JT_aQsOQZaringQVcurrenUN H Qc[]O _aJ H Me[W^X[Ph G J[]ZOslashJUO H N H QR[]Ogtj^gtMeJiexclZaringNPQcObn[]O H hQRcentj H QR[]O[SXy[]jh_WF[PhY`aQcY H [centjQcfs^ N H MJL[PhZJ H QcbLNPfQXhdNSZOslashJWNtilde[Phl`centNPYJU^`[]O

uumlnyacute|thornLyuml13

yenKbrvbarsect =4 acirc $ YZMNiK=JT[PK H QZaringQVcurrenUN H Qc[]OKhQsObLQRKfRJUY^ Q H M YZjbM`NPO`NiKKhZ[]NPbMegtWFJIacutebLNPO hZJUNP^QsfVmH N`PJ7QcO H [ NPbLbn[]jO H`H MeJpoundUiNihQcN H QR[]O [SX H MJOacute^eJUYZbnhQcK H [PhY H MN H NihJpound[]fR[PcentNPfcfmN HH NPbdMeJU^ H [ H MeJUacuteJUP[]fVUWQcO[timeshZJ[]QR[]OYgaqbLNPfsfRJU^ hZJ[]QR[]OWV4^eJLKEgraveJUO^JUO H ^eJUYZbnhQcK H [PhYj^ JOtildeYZMe[W H MN HH MeJiexclU~NihQsN H QR[]O [SX9hZJ[]QR[]OWV4^eJLKEgraveJUO^JUO H ^eJUYZbnhQcK H [PhYF^jehQcOF[ H MeJJUP[]fcj H QR[]OOtilde[SX H MeJ0NPb H QUPJFbn[]O H []jehampQcO^jbnJUY9NP^^Q H QR[]ONPf H JLhlZaringY9QsO H MeJyJUP[]fcj H QR[]OJBjN H QR[]Oeuml[SX H MeJOslashNPb H QVUPJ bn[]O H []jeh^MeJUYZJaeligNP^^Q H QR[]ONPf H JLhlZaringYOtildeMNUPJaringOe[ H centEgraveJLJUOKhJUBQR[]jYZfVm bn[]ZOslashK-j H JU^uml^

G []ZOslashJNtildeJkeNSZOslashKfcJUY[SX-jOYZjeKEgraveJLhYUWQcYJU^TYKN H QcNPfBYJ[]ZOslashJUO H N H QR[]OOePjYZQsO[ H MeJcopyUiNihQuVNPObnJ [SX H MJOslashhZJ[]QR[]OYe9KhZ[UPJ H MeJ QZOslashKEgrave[Ph H NPObnJOslash[SX H MeJ NP^^Q H QR[]ONPf H JLhlZaringYordfXiacute[PhH MeJ(NPbLbLjehdNPbmIacute[SX=YJ[]ZOslashJUO H N H QR[]OOslashhZJUYZjf H Y^MeJNP^^Q H QR[]ONPf H JLhlZ YZIacutejY H O[ H centEgraveJXiacute[PhY[P[ HH JUO QcO [Ph^eJLh H [laquo[PJ HH MeJ_XqNPY H JUY H NPb H QUPJUacutebn[]O H []jeh(JUP[]fcj H QR[]O H [WNih^Y(NZaringQsOQZtimesjFZoslash[SX H MeJaumlbnhdQ H JLhQR[]OO^not QcONPfcfVmSe H MeJbn[UiNihQcNPObnJbZ N H hQk ^eJ H JLhZaringQcONPO H NiKKEgraveJUNihY H [ cent=JNrUPJLhYmhZJUfcJU~NPO HH [B[]fOX[PhMe[]ZOslash[S[PJUOeJL[]jYbn[]fR[PhiexclhZJ[]QR[]OYYZJ[]ZOslashJUO H N H Qc[]OO^gtMQcY H [[]fQcYYZjbLbnJUYZYXqjfcfVm NiKKfcQRJU^ H [XqNPbnJIacute^eJ H JUb H Qc[]O []OhZJUNPfUBQc^JL[aringYJjJUObnJUY^MeJa^eJ H NPQcfcJU^ [UPJLhYUBQcJW []O hZJ[]QR[]OeVcentNPYJU^ NiKKhZ[]NPbMJUY QsYaringKhZ[PKEgrave[]YJU^ QcOG JUb^ eshyWMQcfRJOslash[]jeh0jfRJLhdQcNPOumlXiacutehNSZOslashJWF[PhY`uml5_0 Uacute_ cent G QcYauml^JUYZbnhQRcentEgraveJU^QcO G JUb^^MQcY|XhdNSZOslashJWNtilde[Phl` QcY H MeJUONiKKfcQRJU^ H [ H MJjOYZjeKEgraveJLhYUWQcYJU^aringYJ[]ZaringJUO H N H QR[]O[SXMe[]Zaring[S[PJUOeJL[]jYIacutehZJ[]QR[]OYIacutejYZQcO[ H MJregUiNihQcNPObnJ QsO G JUb^lt`NPO^ H MeJ bn[U~NihQsNPObnJZaringN H hdQk ^eJ H JLhZaringQcONPO H QcO G JUb^gtmacr^

degEplusmnyLMgtsup2Qsup32acutemicromiddotparaJcedilJacutemicrosup1acuteIKJordmcedilIltN paraJcedilJacutewMraquo Jfrac14ltacutefrac34frac12oLJMgtIiquest acuteAgravegtT2MgtIAacutelAcirclaquocedilFAtildeacuteNAumlfrac12R]JT13Aringgtacutesup1AEligMgtIKJMgtPltLAtildeJUbnJUO H fVmSeZaringNPOmNPj H Me[PhdYtimesMNUPJKhZ[PKEgrave[]YJU^NwWNm[SXNP^^QcOF[hZJ[]QR[]OWVcent-NPYJU^H JLhlZ YQcO H MJTJUP[]fcj H Qc[]O JjN H QR[]Ow[P[UPJLhOQcOF[ NPb H QVUPJtimesbn[]O H []jehdY Xiacute[PhiexclYJ[]ZaringJUOWVH N H QR[]O QsYZYZjeJUY^QMeJ KhZ[PcentfcJZ Y H N H JZaringJUO H QsYhY H KhZJUYJUO H JU^NPO^ H MeJUO H MeJY H N H JnV[SXV H MeJnV4Nih H QcY^J H NPQcfRJU^O^ ^f^bCcedil_EgraveKEacuteltEcircgtEumlIgraveFIacuteIumlIcircETHOgraveNtildeFETHIgraveFIacute5IgraveFOacuteETHiexclJLhZJSeOcircWFJa^eJUYZbnhdQRcentEgraveJ H MJ JjN H Qc[]OYaringNP^^ehJUYZYZQcO[ H MeJ`QcYZYZjeJ[SX H MeJYJ[]ZaringJUOWVH N H QR[]O[SX NPOQCZaringN[PJxOtilde QsO H WNtilde[ hZJ[]Qc[]OY^iexclgJ H jYeuml^eJOeJrOumlcopytimesOslash H MeJhJ[]QR[]Obn[]O H NPQcOQcOF[ H MeJ[Pcent~5JUb H Y H [YZJ[]ZOslashJUO H NPO^ OumluUgraveUcircUacuteUuml H MeJeumlcentNPbY`[PhZ[]jO^ hJ[]QR[]OO^MJUQRhFbn[]ZregZOslash[]O centEgrave[]jO^NihlmaringQcY(Oe[ H JU^YacuteOcirc^F9J H jY(bn[]OYZQc^JLhNPOaNPb H QVUPJaumlbn[]O H []jhYacuteadTHORN]szligYagravejaacuteacirca2atildeadTHORN]szligYagravejszligaumlOadTHORNOgraveszligYagravejje]WMeJLhZJuTHORNuZaringNmTcentEgraveJ H MeJ(NihbNtildefcJUO[ H Mtimes[SX H MeJbn[]O H []jhNPO^umlagraveQsYOtildeNPOJUP[]fcj H QR[]OeumlK-NihNSZOslashJ H JLh^shyMeJOslashNPb H QVUPJ bn[]O H []jehIacuteNiKKhZ[]NPbMpoundZ N`PJUYYacuteadTHORN]szligYagravejJUP[]fVUPJ H MehZ[]j[]M H MeJ|Xiacute[]fcfR[WQcO[K-Nih H QcNPf^Q=JLhJUO H QcNPf]JjN H Qc[]Ooa5copyjaringaelig YacuteadTHORNOgraveszligYagravejaelig agrave aacuteegraveccedilyeacuteecircaacuteegraveeuml WQ H MigraveYacuteaagraveregaacute s j|aacuteegraveYacuteshyiacute afjWMJLhZJfrac34YacuteltiacuteaQcY NPO QsOQ H QcNPfbLjhYUPJ ^JOeJU^centm H MeJeumljYJLhNPO^egraveeacute H MeJ QsOOgraveWNih^Oe[PhZaringNPfUPJUb H [PhOtilde[SX|YacuteadTHORN]szligYagravej^MeJUPJUfR[WbLQ H mfrac34ccedil QcY^eJLhQUPJU^wXiacutehZ[]Z NZaringQsOQZaringQVcurrenUQsO[

uumlnyacute|thornLyuml13 2

$amp)(+-)013021+345627893lt=gt9A6CBbnhQ H JLhQR[]O NPO^ QsY bdMe[]YJUO Y[ H MN H H MeJ YZ[]fcj H QR[]OicircYacuteaUcirciumlVszligYagravej bn[]OUPJLhY[PJUY H [ H MeJ[Pcent~JUb H centEgrave[]jO^NihYmSeYacuteaUcirciumlethjeNPY_agraveregntildeoacuteograveicirc^5ObLfcNPYYZQcbLNPfcentEgrave[]jO^NihYmVcent-NPYJU^ZOslashJ H Me[W^Ya)v(NPYJUfcfRJUY(J H NPfd^VeshyfhSh]zg_`NPfcfcNP^QJ H NPfd^VelaquofhShSmacr]je H MeJsup1UPJUfc[BbLQ H m XqjOb H QR[]OHccedil QsY`^eJLhdQVUPJU^XiacutehZ[]ZCNPOJUOeJLhY[Smacircocirc^eJLKEgraveJUO^QcO[T[]O H MeJOtildecentEgrave[]jO^NihlmYacuteOcircaring

ocircOgraveotilde UgraveUacute OslashoumlYdivideloslashugrave aYacuteQj|aacute uacuteucircyacuteuumlgtthorn otilde)yuml THORN a jWMJLhZJ_uuml thorn otilde)yuml QcYNtildeNyXqjOb H Qc[]O ^eJUYZbnhdQRcentQcO[ H MeJiexclcentEgrave[]jO^NihYmtimes[SX H MeJiexcl[Pcent~JUb H ^vNPYZJUfcfRJUYJ H NPf_a)vNPYJUfsfRJUYaumlJ H NPfd^VefhSh]zSjIacutebM[[]YJ H MeJregXqjOb H Qc[]Obuuml thorn otilde)yuml aacuteKa ordmOtilde jyWMeJLhZJtaring s szliggograve8ntilde Otilde 13 QcYiexclN Y H hdQcb H fVm ^eJUbnhZJUNPYZQsO[XqjOb H Qc[]OaY[ H MN H a]juntilde s NPYgntildeoacuteograveicirc^SMeJFbn[]ZOslashKj H N H Qc[]OIacute[SX H MeJUPJUfc[BbLQ H mccedilicircXiacutehZ[]Z H MJFbnhQ H JLhQR[]Oa j9QsYOe[WWFJUfcfO`WOe[WiexclOsup1a)vNPYJUfsfRJUYJ H NPfd^VeltfhSh]zSjiexclNPO^`fRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[OslashJUP[]fcj H QR[]OJBjN H QR[]OOaring aelig Yacuteaelig agrave aacuteFuuml thorn otilde)yuml uuml thorn otilde)yuml eacute13eacute ad]jWMJLhZJ QcY H MeJaumlbLjehYUiN H jehZJOtilde[SXYacuteaagravej^iexcl[WFJUPJLhecent=[ H MaringhZJ[]QR[]OYOcircOumlcopytimesOslashtimesNPO^Ouml UgraveUcircUacuteUuml ZaringNmtimesMNUPJiexcl^QV=JLhZJUO H KhZ[PKEgraveJLh H QRJUYamp[SXH Jk H jehZJSeiMe[]ZOslash[S[PJUOeJUQ H mtimes[PhZaring[ H QR[]O H MN H bLNPOOe[ H cent=JQcObLfsj^eJU^aumlQcO H MeJXiacutejOb H QR[]Ouuml thorn otilde)yuml ^ G [ H MeJoZaringNPQcOOacuteKjehZKEgrave[]YJaring[SX(hJ[]QR[]OWVcentNPYJU^7NiKKh[]NPbMeJUYaeligQcY H [ QcO H hZ[W^jbnJYZjbM Nx[]fR[PcentNPfUacuteQcOXiacute[PhlZaringN H QR[]O QcO H MeJ UPJUfR[WbLQ H m XiacutejOb H QR[]Oicircccedil QcO NP^^Q H QR[]O H [H MeJeumlfR[WbLNPfiexclQsOX[PhZaringN H QR[]OKhZ[UWQc^eJU^ centm cent=[]jO^NihYmVcentNPYJU^ H JLhlZaringY^copyMeJZaringNPQcOBjeJUY H QR[]OeiQsOIacute[Phd^eJLh H [~jY H QVX2m H MeJQcO H hZ[W^jb H QR[]OIacute[SX H MJUYJ(hZJ[]QR[]O H JLhlZ Ye]QcY H [^eJLhdQVUPJ H MeJuUPJUfR[WbLQ H mlaquoXqjOb H QR[]OlaquoXiacutehZ[]ZNPOOslashJUOeJLhl[SmS^Ograve9[IacuteYJ H Nordf[PJUOeJLhNPfFXhNSZaringJWNtilde[PhY`NPO^ H [Oslashbn[]ZOslashKNihZJ H MeJUacute^QEgraveJLhZJUO H NiKKhZ[]NPbMeJUYFKh[PK=[]YZJU^ QcO H MeJUacutefcQ H JLhN H jhZJSeWFJOe[W QcO H hZ[W^jbnJ Nw[PJUOeJLhNPfNtildebnhQ H JLhQR[]ObXh[]ZigraveWMQsbM H MeJUPJUfR[WbLQ H mpoundZaringN[]OQ H j^eJZaringNmcent=JOtilde^eJLhdQVUPJU^Oaring

ocircOcircadOumlutimes OslashgtszliglOuml UgraveUcircUacuteUuml szligYYacuteQjbaacute uumlgtthorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszliglOuml UgraveUcircUacuteUuml j atilde auml $ uumlgtthorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashFj atilde aumlamp uacuteucirc uumlgtthorn otilde)yuml a2atildeltszligaumlj THORN a2jWMJLhZJyuuml thorn UgraveUcircUacuteUuml yuml QcYONSZaringJU^ H MeJwn^JUYZbnhQRK H [PhpOslash[SX H MeJaumlcentNPbl`[PhZ[]jO^ hZJ[]QR[]Oegtuuml thorn timesOslash yumlH MeJsup1n^eJUYZbnhQRK H [Phlp[SX H MeJaring[Pcent~JUb H hZJ[]Qc[]ONPO^buuml thorn otilde)yuml H MeJsup1n^eJUYZbnhQRK H [Phlp [SX H MeJbn[]O H []jeh^MJOslashhZJ[]QR[]O^eJUYZbnhdQRK H [PhYordfZaringNm`centEgraveJlaquo[]fR[PcentNPfsfVm`N HH NPbdMeJU^ H [ H MJUQRhOtildehZJnVYKEgraveJUb H QVUPJOslashhJ[]QR[]OYeOumlcopytimesOslasha[PhOuml UgraveUcircUacuteUuml e9NPO^Y[^eJLKEgraveJUO^euml[]O H MeJZ aqQVXFY[e H MeJmNihZJbLNPfcfcJU^pihJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhYYpOgravej^ H MNiKK=JUOYshyWMJUOtimesY H N H QcY H QcbLNPfXiacuteJUN~VH jehJUYg[SXNhJ[]QR[]OTfcQ`PJSeXiacute[Ph9JkeNSZOslashKfRJSe H MeJZOslashJUNPOIacute[Ph H MJ|UiNihQcNPObnJSe~NihZJNtildeYJUfcJUb H JU^NPY(hJ[]QR[]O^eJUYZbnhdQRK H [PhY^MeJ`K-jehZKEgrave[]YJ [SXIacuteNPfcfhZJ[]QR[]OeVcentNPYJU^ NPb H QVUPJOacutebn[]O H []jehYwZOslashJ H Me[W^YQcY H MeJUOH [poundZaringN`PJ H MeJaNPb H QVUPJabn[]O H []jeh JUP[]fVUPJ H [WNih^Y NeumlKNih H Q H Qc[]O[SX H MeJ`QZaringN[PJSeadOumluUgraveUcircUacuteUumlszliglOuml timesOslash szligYYacuteQje H MN H ZaringQcOQZ QVcurrenLJUY H MeJTbnhQ H JLhdQR[]Opounda2j^

uumlnyacute|thornLyuml13 (

yenKbrvbarsect =4 acirc $ macr ^ ^)+ltIgraveFEgrave-+13IgraveigraveEacute10Igrave22IcircETH313Oacute4 EgraveOIgrave54EacuteshyOacute76EcircgtNtildeltIcircIgrave8 Iacute_IgraveETH39ltEacute8QIcircshyIcirclt2Oacute4Ntilde=KETH3gt+ltIgrave=EacuteshyOacuteshyETHEacute1EgraveIcirc MQcfRJiexclNPONPfVmWYZQcO[aumlhJ[]QR[]OWVcentNPYJU^ NPb H QVUPJUacutebn[]O H []jhYNiKKhZ[]NPbdMeJUYeWNtildeJ5ZaringNm bn[]OWVYZQs^eJLh H MehZJLJyZaringNPQsO QZOslashKEgrave[Ph H NPO H K=[]QsO H Yaring MN H NihJ H MeJT^QV=JLhZJUO H ^eJUYZbnhdQRK H [PhY(jYZJU^BA iexcl[WQcY^eJLhdQVUPJU^ H MeJaumlJUP[]fcj H QR[]O JBjN H QR[]OXiacutehZ[]Z H MeJaumlbnhdQ H JLhQR[]OCA iexcl[WQcYQZaringKfRJZOslashJUO H JU^ H MeJaumlNPb H QVUPJtimesbn[]O H []jehANtildeQR[]OeJLJLhcopyWF[PhY`BY(MNUPJaumlcentEgraveJLJUO KhZ[PKEgrave[]YJU^ centma)vF[]MeJUOJ H NPfd^VefhShSgt[]OXqNih^OefhShj^5ONPOJUNihdfVmpoundWF[PhY`gte|vF[]MJUOJ H NPfd^ua)vF[]MeJUO7J H NPfd^VeufhShS]jIacuteKhZJUYZJUO H NYZjhYXiacuteNPbnJ$hJUbn[]OY H hjb H Qc[]OgZOslashJ H Me[W^TjYQcO[hZJ[]QR[]OWVcent-NPYJU^aumlNPb H QVUPJFbn[]O H []jehdY^MJmbn[]ZOslashK-j H J H MeJUPJUfR[WbLQ H mpoundUPJUb H [Phaelig[SXNPO7NPb H QVUPJ bn[]O H []jhXiacutehZ[]Z H MeJZaringQsOQZaringQVcurrenUN~VH QR[]O[SXampNOslashbnhQ H JLhdQR[]OQcObLfcj^QcO[aumlhZJ[]Qc[]OWVcentNPYJU^ H JLhZaringY^ Oe[ H MeJLh(KQR[]OJLJLhuWNtilde[PhY`MNPYaumlcent=JLJUOK=JLhlX[PhlZaringJU^QcO a[]OXqNih^OeOcircfhShj^iexclJ NPYZYJUYZYZJUY H MN HTH MeJUPJUfR[WbLQ H mXqjOb H QR[]O YZMe[]jfc^aringcent=JKhZ[PKEgrave[Ph H QR[]ONPf H [ H MeJUacute^QEgraveJLhZJUObnJ[SXgY H N H QcY H QcbLNPfXJUN H jehJUYaringccedilaacute uuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml eOgraveWMJLhZJ_uuml thorn timesOslash yuml QsY0NaumlY H N H QsY H QcbLNPfKZOslash[B^JUfe[SX H MeJ[Pcent~JUb H hJ[]QR[]ONPO^tuuml thorn UgraveUcircUacuteUuml yuml N Y H N H QcY H QcbLNPfshyZOslash[B^JUfEgrave[SX H MJaumlcentNPbY`[PhZ[]jO^ hZJ[]QR[]OO^

G []ZOslashJaumlNiKKhZ[]NPbdMeJUY(Kh[PK=[]YZJ H [ bn[]ZOslashKj H J H MeJOtildeJUP[]fsj H QR[]OJBjN H QR[]O [SX H MeJNPb H QVUPJtimesbn[]O H []jhUacutejYZQcO[ H MeJ hZJLJUOWVAiexclQRJZaringNPOO H MeJL[PhZJZ NPO^wNtildejfRJLhVAN[PhNPO[PJJBjN H QR[]OY^OEgraveMBjeumlNPO^frac340jQcfcfcJoa)EgraveMBjNPO^frac340jQcfcfcJSeltfhShS]jKhJUYJUO H NY H N H QcY H QcbLNPfXiacutehNSZOslashJWF[PhY`poundXiacute[PhOslashQZaringN[PJYJ[]ZOslashJUO H N H QR[]OjYZQsO[aNPONPfV[P[PhQ H MZbLNPfsfRJU^n5hJ[]QR[]Obn[]ZOslashKEgraveJ H Q H Qc[]OFp^MeJm^eJLhQVUPJ H MeJeumlNPb H QVUPJbn[]O H []jehJUP[]fcj H QR[]O JBjN H QR[]O centmZaringQsOQZaringQVcurrenUQsO[aringNo[PJUOeJLhNPfcQVcurrenLJU^XNmPJUYDi_wiexcl bnhQ H JLhdQR[]O`QsOYKQRhJU^centm H MeJaring_`jFZaeligVXiacute[Ph^OacuteNPO^ G MNPMJUOeJLhY[Smicircaw_ajFZX[Ph^7NPO^ G MNPMOefhSiSh]j^OcircMeJmKhZ[PKEgrave[]YJ H MeJXiacute[]fcfR[WQcO[aelig^eJUYZbnhQcK H [PhYcopyXiacute[Ph H MeJaumlYJ[]ZaringJUO H N H QR[]O`[SXampY H QcfcfQZ N[PJUYaringEFG FH uuml thorn UgraveUcircUacuteUuml yuml aacute JILK NMregaOtildeKa2atildeshyszligaumlFjPORQ UgraveUcircUacuteUuml juuml thorn timesOslash yuml aacute JILK NMregaOtildeKa2atildeshyszligaumlFjPORQtimesOslashjuuml thorn otilde)yuml aacuteTS admacr]jWMJLhZJUMrega)j9QcY9NiexclKhZ[Pcent-NicentQcfcQ H m^JUOYZQ H m5XqjOb H Qc[]OOeQshytimesNihZJ H MJNtildeKNihdNSZOslashJ H JLhY[SX H MeJ^QsY H hQRcentj H QR[]OX[Ph H MeJaelighZJ[]Qc[]OBVNPO^CSQcYUacuteN KEgrave[]YZQ H QUPJIacutebn[]OY H NPO H ^ not [PhaumlQcfsfcjY H hN~VH QR[]OYe H MeJNPj H Me[PhdYybn[]OYZQc^JLh NPjYZYZQsNPOOslash^QcY H hQccentj H QR[]OYbMNihdNPb H JLhQVcurrenLJU^ centm H WF[KNihdNSZOslashJ H JLhYe H MeJZaringJUNPOIacuteNPO^ H MeJ|UiNihQcNPObnJS^ q ObnJ H MeJWQtimeskWJU^Oe H MeJ0JUP[]fcj H QR[]OJBjN H QR[]O[SXNPONPb H QVUPJ bn[]O H []jhaeligQsYIacutebn[]ZOslashK-j H JU^NPO^^QchZJUb H fVm^eJLhQUPJU^poundXiacutehZ[]ZH MeJbnhdQ H JLhQR[]OO^SMJbLfcNPYZYZQcbLNPfe^JLhQVUiN H QVUPJ([SX H MJ(cent=[]jO^NihYmVcentNPYJU^ H JLhlZ fRJUNP^YH [ H MeJtNtildejbLfcQc^QcNPOpound[PJL[]ZOslashJ H hdQcbMeJUN HYX [Wg^OcircMeJ ^eJLhdQVU~N H QUPJ [SXiexclhZJ[]QR[]OWVcent-NPYJU^H JLhlZ Y QcY H MJUOKEgraveJLhYXiacute[PhlZOslashJU^jYQcO[ H MeJ hZJLJUOWVAQcJZaringNPOO H MeJL[PhJZ NPO^ H MeJNtildejfRJLhVAN[PhNPO[PJaJBjN H QR[]OY^5O^eJLJU^e H MeJeumlbn[]ZOslashKj H N H Qc[]O [SX H MeJaJUP[]fcj H QR[]OJBjN H QR[]OQsYK=JLhlX[PhlZaringJU^ QcO H MehZJLJyZ NPQcO Y H JLKYaringf^Q9hNPOYX[PhZaringN H QR[]Oeuml[SX^e[]ZaringNPQcOQcO H J[PhNPfcYTQcO H [ centEgrave[]jO^NihYmaQcO H J[PhNPfcYTjYZQcO[

H MeJ hZJLJUOeVAQRJZaringNPOO H MeJL[PhZJZ^

uumlnyacute|thornLyuml13

$amp)(+-)013021+345627893lt=gt9A6CB ^vF[]ZOslashKj H N H Qc[]O [SX H MJy0jfcJLhVA9N[PhNPOF[PJOtildeJjN H Qc[]OY^ltO H hZ[W^jb H QR[]O[SXiexclNeuml^mWONSZaringQcbLNPfFYZbdMeJZOslashJ QcO H MeJ0jfRJLhZVA9N[PhNPO[PJ JBjN~V

H QR[]OYQcO [Ph^eJLh H [aeligbn[]ZaringKj H J H MeJ5UPJUfR[BbLQ H mregUPJUb H [Ph[SX H MeJOtildeNPb H QVUPJOtildebn[]O H []jh^MJ UPJUfR[WbLQ H mXiacutejOb H QR[]OoccedilQsY H MJUO bn[]ZaringKj H JU^NPO^Q H fcJUNP^Y H [ H MJ5Xiacute[]fcfR[WQcO[JUP[]fcj H QR[]OJjN H QR[]OOaring aelig Yacuteaelig agrave aacuteacircaduuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml S jeacute ad]jWMJLhZJ QsY H MeJ bLjehlU~N H jehJaring[SXuYacuteaagravej^5O[Ph^eJLh H [aQZOslashK-fRJZOslashJUO HOtildeH MQcYordf|iexcl eNN[PhNPO[]QcNPOXiacute[PhlZtimesjfcN H QR[]O QsY(jYJU^O^JUbnJUO H fmSeampNihN[]Qc[]YNPO^frac34JLhQcbdMeJaNihdN[]QR[]YOtildeNPO^iexclJLhdQcbMeJSefhShSh]jegMNUPJKh[PK=[]YZJU^ NPOJk H JUOYZQc[]O[SX H MeJordfWF[PhY` [SXOcircEgraveMBjNPO^o0jQcfcfcJcentm QZOslashKhZ[UWQcO[ H MeJ^eJUYbnhQRK H [Phaelig[SX H MJbn[]O H []jeh QcO7[Ph^eJLh H [QcObn[PhK=[PhdN H J H MJQCZaringN[PJ[PhNP^QRJUO HNPYiexclQcO[PJL[W^eJUYZQcbIacuteNPb H QVUPJtimesbn[]O H []jehY^gtMeJTJUP[]fcj H QR[]OaJjN H Qc[]OaQcYiexclQZOslashKfRJZaringJUO H JU^jYQcO[ H MeJ(fRJUPJUfBYJ H ZOslashJ H Me[W^aeligQcO H hZ[B^jbnJU^aumlcentm q YZMJLhNPO^ G J H MQcNPOoa q YZMeJLh$NPO^G J H MQcNPOOeltfhSiSi_aNPfcfsNP^Q9J H NPfd^VefhShSmacr G J H MQcNPOOeltfhShS]j^ UPJLhYm QcO H JLhJUY H QcO[KNih H [SX H MQsYyWF[PhY`Oacutebn[]ObnJLhdOY H MeJ QsO H hZ[W^jb H Qc[]O[SXY[]ZOslashJ^eJUYZbnhdQRK H [PhYlaquouuml thorn timesOslash yumlNPO^uuml thorn UgraveUcircUacuteUuml yuml X[PhNiKKfcQsbLN H QR[]OYfcQV`PJ H Jk H jehZJFYJ[]ZOslashJUO H N H QR[]OtimesNPO^gZOslash[UBQcOF[[Pcent~JUb H Y^eJ H JUb H Qc[]OO^

G []ZOslashJT[ H MeJLhUacuteNiKKh[]NPbMeJUYlaquoa)vMN`BhNicentEgrave[Ph H mJ H NPfd^VeltfhShSvMeJUYONPj^ J H NPfd^VefhShSh]j9KhZ[PKEgrave[]YJ H [OtildebMe[B[]YJ(N H JUNPbdMOslashY H JLK H MeJ^QcYKfsNPbnJZOslashJUO H [SX H MeJNPb H QVUPJ(bn[]OWVH []jeh H MN H ZaringN`PJUY H MeJybnhQ H JLhQc[]OOtilde^eJUbnhZJUNPYJS^SvMN`BhNicentEgrave[Ph H miexclJ H NPfd^a)vMN`hNicentEgrave[Ph H mJ H NPfd^VecopyfhShS]jtimesQcO H h[B^jbnJ N`hZJ[]QR[]OWVcentNPYZJU^7NiKKhZ[]NPbMxXiacute[Ph H MeJ YZJ[]ZOslashJUO H N H Qc[]O[SXQZOslashJU^QcbLNPfQZ N[PJUY^ iexclYQcOeKj H [SX H MJUQRhNPfV[P[PhQ H MZe H MeJm bn[]OYQc^eJLh(centEgrave[ H M H MeJNPb H jNPf9QZaringN[PJgOtilde NPO^ H MeJOtildehZJ[]QR[]OWV4bLfsNPYZYZQVJU^ QCZaringN[PJgOtildeoslash^FMeJOtildebLfcNPYZYZQVJU^ QZaringN[PJOtilde oslash QcYiexclbn[]ZOslashKj H JU^`centmwZaringNkeQZaringQVcurrenUQcOF[ H MeJTKEgrave[]Y H JLhQc[Ph^QsY H hQRcentj H QR[]O [SX H MeJThJ[]QR[]OfcNicentEgraveJUfcY[]QUPJUO H MeJQcO H JUOYZQ H maeligQZaringN[PJS^MeJUQRh0hZJ[]QR[]O H JLhlZ JUOXiacute[PhbnJUY H MJcentEgrave[]jO^WVNihYm H [JUObLfc[]YJaringNYZQcOF[]fRJaelighZJ[]QR[]OQcOumlOtildeoslash^MeJaring^JUYZbnhQRK H [PhdYOtildeNihZJ H MeJXiacute[]fcfR[WQcO[WQ H M H MeJauml^QEgraveJLhZJUObnJ H MN HH MeJmWFNPO HH [regZaringNkeQZaringQcurrenLJ H MJTbnhQ H JLhQc[]OocircaringEFG FH uuml thorn UgraveUacuteUuml yuml aacute[Z] Otilde oslash a2atildeltszligaumljuuml thorn times Oslash yuml aacute suuml thorn otilde)yuml aacute[Z cent Otilde_^Ogravea2atildeshyszligaumlFj a)zSjWMJLhZJ]Z NPO^`Z cent NihZJ H WNtilde[7KEgrave[]YZQ H QVUPJbn[]OY H NPO H YNPO^ Otilde_^aQcY H MeJfrac34[PhNP^QRJUO HQZ N[PJS^ KhQc[PhYMNiKEgraveJ H JLhZDQcY(NPfcY[OslashNP^^eJU^ H [ H MJaumlbnhQ H JLhQR[]OeWiexclMQcbMbLNPO centEgraveJQcO H JLhZJUY H QsO[gXiacute[PhZOslashJU^QcbLNPf-QCZaringN[]QcO[gWiexclMeJLhZJ H MJiexclON H jehJ[SX H MeJYZMNiKEgraveJiexcl^[JUYFOe[ HbdMNPO[PJNaumlfc[ H Xh[]Z2QcO^QUBQc^jNPf H [TQsO^QVUWQc^jNPf)^MeJUOeiNPYNtildeQcOwa)EgraveMBjaringNPO^ordm0jQcfcfRJSefhShS]je H MeJWMe[]fRJaumlKhZ[PcentfRJZ QsY(hZJU^jbnJU^ H [ bn[]ZaringKj H QcO[ cent=[]jO^NihYm QcO H J[PhdNPfcYH MNPOF`BY H [ H MeJ hZJLJUOWVAQcJZaringNPOO H MeJL[PhZJZte(hN H MeJLh H MNPO centEgrave[ H M centEgrave[]jO^NihYmNPO^ ^[]ZaringNPQcO QcO H J[PhNPfcY^yacuteMeJQZOslashKfRJZaringJUO H N H QR[]O [SX H MeJNPb H QVUPJ7bn[]O H []jhaQcOa)vMN`hNicentEgrave[Ph H mJ H NPfd^Ve fhShS]jaringQcYaring^e[]OeJacentmjYZQcOF[N not []jehQcJLharingKNihNSZOslashJ H JLhdQVcurrenUN~VH QR[]O^yacuteMeJJkWKhZJUYZYZQc[]O [SX H MeJumlUPJUfR[WbLQ H mAumlUPJUb H [Ph [SX H MeJOacuteNPb H QVUPJ7bn[]O H []jeh QcY

uumlnyacute|thornLyuml13 a

yenKbrvbarsect =4 acirc $ zOe[ H bn[]ZOslashKj H JU^OeNtildecentj HOslashH MeJ bnhQ H JLhQc[]OQcYaringQcO H hZ[W^jbnJU^NPO^ OBjFZOslashJLhQcbLNPfsfVmOacuteJUiNPfuVjN H JU^ QsO [Ph^eJLh H [ ZaringNkeQZaringQVcurrenLJQ H ^ JbLNPO Oe[ H J H MN HH MJeumlNPj H Me[PhYMNUPJKh[PK=[]YZJU^ NlaquoUPJLhYm QcO H JLhZJUY H QcO[aeligJk H JUOYZQR[]O [SX H MQcYWNtilde[Phl` jYQcO[ H MJ5[]NSZaringJ H MeJnV[PhYma)vMN`BhNicentEgrave[Ph H m NPO^jObLNPOOeOfhShSh]j^J[]Qc[]O NPO^ cent=[]jO^NihYmOslashbnhQ H JLhdQR[]OYNihZJYJLKNihdN H JU^OePcentj H JUNPbMaringbnhQ H JLhQR[]Otimesbn[]O H NPQcOY$NPOtimesQsO H JLhNPb H Qc[]OlaquoWQ H M H MeJ[ H MeJLh^ Y H MJ_[]NSZOslashJKhZ[S[PhJUYZYJUYeBcentEgrave[ H MZOslash[W^jfcJUYyQZOslashKh[UPJ H MeJUQRh0KEgrave[]YZQ H QR[]OY H MhZ[]j[]MZtimesj H jNPfQcOFX[PhlZ N H QR[]O YZMNihQsO[^

Oe[ H MeJLhIacuteYZQZaringQcfsNihUacuteNiKKhZ[]NPbMMNPYaumlcentEgraveJLJUOQcO H hZ[W^jbnJU^eumlcentmbvMeJUYZONPj^eumlJ H NPfd^a)vMJUYZONPj^ J H NPfd^VefhShSh]j^FMeJUQchNtilde^eJUYZbnhdQRK H [PhYFNihZJhZJnVJU~NPfsjN H JU^ JUNPbM H QZOslashJUacuteNKEgrave[]QcO H [SX H MJNPb H QVUPJbn[]O H []jehFJUP[]fVUPJUY0YZQsObnJ H MeJUQRh0^JUYZbnhQRK H [PhdY$NihZJY H N H QcY H QcbLNPfXiacuteJUN H jehZJUYOtilde[SX H MeJ QZaringN[PJordm[]fR[PcentNPfsfVm`N HH NPbdMeJU^ H [ H MeJOslashJUP[]fVUWQcO[ hZJ[]Qc[]OY^shyMJmbdMe[[]YZJ H MeJ`hNPO^e[]Z ^QcYKfsNPbnJZOslashJUO H [SXaumlNOacutebn[]OYZQs^eJLhZJU^ KEgrave[]QcO H [SX H MeJ NPb H QVUPJbn[]O H []jehOslashY[ H MN HIacuteH MJ bnhQ H JLhQR[]O7^eJUbnhZJUNPYJUY^$ _X H JLhaeligJUNPbdM ^QcYKfsNPbnJZOslashJUO H [SXNKEgrave[]QcO H [SX H MeJIacuteNPb H QVUPJIacutebn[]O H []jehe H MJT^eJUYZbnhQcK H [PhY(NihZJOtildehZJnV4bn[]ZaringKj H JU^O^

fcN H JLh NiKKhZ[]NPbdM MNPYaringcentEgraveJLJUOQcO H hZ[W^jbnJU^ centm G NSZaringY[]O J H NPfd^_a G NSZ Y[]OJ H NPfd^Ve sSsSs jyacuteXiacute[PhOtildebLfcNPYZYZQbLN H QR[]OaNPO^acentmvMNPO NPO^frac34$JUYJa)vMNPOeumlNPO^frac34$JUYJSesSs fjX[PhaYZJ[]ZOslashJUO H N H Qc[]O [SXaeligY H QcfcfOtildeQZ N[PJUY^yacuteMeJm KhZ[PKEgrave[]YJ H [JZIacutecentEgraveJU^ H MeJbnhQ H JLhQR[]O ^QRhZJUb H fVm`QcO H MJaeligfcJUPJUf$YJ H X[PhlZtimesjfcN H Qc[]OO^Ov(MNPOeumlNPO^$JUYJOslashKhZ[PKEgrave[]YJH MeJordfXiacute[]fcfR[WQcO[Oslash^eJUYbnhQRK H [PhYaringEFG FH uuml thorn UgraveUcircUacuteUuml yuml aacutecb7d Otilde e f centUhguuml thorn timesOslash yuml aacutecb cent Otilde e cent centuuml thorn otilde)yuml aacuteiS adi]jWQ H M e H MeJ NUPJLhN[PJ[SXgOtildeQcOicircOuml timesOslash e e cent H MJ`NUPJLhdN[PJ[SXgOtilde7QsO OumluUgraveUcircUacuteUuml^MeJUYJH WNtilde[ UiNPfcjeJUY NihZJhJnVJUY H QZaringN H JU^ ^jehQcO[ H MeJKhZ[PK-N[]N H QR[]O [SX H MeJbLjhYUPJNPYH MeJaelighZJ[]Qc[]OYJUP[]fVUPJS^shyMeJtimesKNihNSZaringJ H JLhYjb e1b cent egeumlNPO^kSNihJaringY[]ZOslashJaeligKEgrave[]YZQ H QVUPJbn[]OY H NPO H Y^iexclJLhZJ H MJ fRJUPJUfFYJ H ZOslashJ H Me[W^QsYIacute^QchZJUb H fVmjYJU^OacutecentmhJLKhZJUYJUO H QcO[H MeJtimesbLjehYUPJlaquoYacuteaagravejNPY H MeJycurrenLJLhZ[fRJUPJUfampYJ H [SXyNQRKYZbdMQ H currenTbn[]O H QcOBje[]jY_XiacutejOb H QR[]Ol a2atildeshyszligaumlKszligYagravej^]MeJfRJUPJUfWYJ H XiacutejOb H QR[]O l QcYQsO H hZ[W^jbnJU^timesQcO H MeJbnhQ H JLhQc[]OUWQcN H MeJiexclJUNUWQcYZQc^JyacuteXiacutejOb H QR[]Onmra l j^MeJbnhQ H JLhQR[]O QcY H MeJUOoZaringQcOQZaringQVcurrenLJU^WQ H M hZJUYKEgraveJUb HH [ l jYZQcO[OslashNaelighZJ[]jfcNihQVcurrenLJU^UPJLhYQR[]O[SX H MJyZaringQcOQCZaringQVcurrenUN H QR[]O KhZ[PcentfcJZ JIacuteOe[ H JMeJLhJ H MN HFH MeJJUP[]fcj H QR[]OaringJBjN H QR[]O QcY0^QRhZJUb H fVmtimesJkBKhZJUYZYJU^regWQ H M H MJiexclfRJUPJUf-YJ HXqjOb H QR[]O NPO^ Oe[ H WQ H M H MJTbLjehYUPJgYacute|^

G []ZOslashJ[ H MeJLhWNtilde[Phl`BYeBjYZQcOF[auml^QcY H hQccentj H QR[]O H MeJL[PhYmSeBMNUPJcentEgraveJLJUOaringKh[PK=[]YZJU^OslashcentmJLcenthZJUjFUPJaJ H NPf)^_aJLcenthZJUjUPJ J H NPfd^Ve sSs fjXiacute[PhZaringJU^QcbLNPfQCZaringN[]QcO[NPO^ centm 5ZaringNP^QRJUjJ H NPfd^shyaq _Z NP^QRJUj J H NPf)^VeshyfhShSh]jcopyXiacute[PhcentjQsfc^QcO[times^eJ H JUb H QR[]OO^not QcONPfcfVmSe~hZJ[]QR[]OWVcentNPYZJU^aringNPb H QVUPJbn[]O H []jehYNtildeNihZJNPfcY[OtildeKEgrave[WFJLhYXqjf H [[]fsYX[PhNtildebLfcNPY5VYZQbLN H QR[]Opounda13yJcurrencurrenUQJ H NPfd^VeshyfhShSh]j[Ph_ZOslash[ H Qc[]O^eJ H JUb H QR[]Oxaw_aNPOYZ[]jehQgNPO^wcOtilde[]OWVhNP^efhShSh]j^MeJZ N~5[PhOtildebn[]O H hQRcentj H Qc[]Oa[SXy[]jh5WF[PhY`aQsY H [KhZ[PKEgrave[]YJaeligNo[PJUOeJLhNPfQXiacutehNSZOslashJnVWF[PhY`X[PhaumlhJ[]QR[]OWVcentNPYJU^OacuteNPb H QVUPJ bn[]O H []jehY H N`BQcOF[QcO H [NPbLbn[]jO HIacuteH MeJaringbLNPYJ [SX

hZJ[]Qc[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhY^OgraveMeJ UPJUfR[WbLQ H mordmUPJUb H [PhF[SX H MJiexclNPb H QVUPJUacutebn[]O H []jh

uumlnyacute|thornLyuml13 o

i $amp)(+-)013021+345627893lt=gt9A6CBQcYUacutebn[]ZOslashK-j H JU^centm`QcO H hZ[W^jbLQcO[N ^mWONSZaringQcbLNPfampYZbdMeJZOslashJaring^QchZJUb H fVm`QsO H MJaringbnhQ H JnVhQc[]O H [frac34ZaringQcOQZaringQVcurrenLJaeligNPYTQcO aJLcenthJUjUPJ J H NPfd^Ve sSs f 5ZaringNP^QcJUjJ H NPfd^VefhShSh]j^iexcl[WFJUPJLheWFJ KhZ[PKEgrave[]YJ MJLhZJ N OJW Xiacute[PhlZtimesjfcN H QR[]O7[SX H MJ^JLhQVUiN H QR[]OjYZQcO[YZMNiK=JIacute[PK H QZaringQcurrenUN H QR[]O H [B[]fcY^ Q H M YjbM NZaringJ H Me[B^egtWFJtimesNihJaeligNicent-fRJ H [hZJUNP^QsfVmH N`PJQcO H [NPbLbn[]jO HaringH MeJ bLNPYJ [SXhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhY H MN H U~NihYm^jhQcO[ H MeJ KhZ[PKN[]N H QR[]O[SX H MeJ NPb H QUPJ bn[]O H []jeh^MeJUYJ ^eJUYZbnhQRK H [PhYTMNUPJH [centEgraveJtimesbn[]OYZQc^eJLhZJU^ YZQcObnJ H MJmaNihZJlaquoWQc^eJUfmjYJU^X[PhOtildejOYZjeKEgraveJLhYUWQcYJU^YJ[]ZaringJUOWVH N H QR[]O^ not [Ph(YZjbdM hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYbnhQRK H [PhYeOgraveWFJiexclYZMe[W H MN H NP^^Q H QR[]ONPfH JLhlZ Y0NiKKEgraveJUNihNtildeQsO H MeJJUP[]fcj H QR[]OaringJBjN H QR[]O [SX H MeJiexclbLjehlUPJ H MN H MNUPJUacuteOe[ H centEgraveJLJUOKhJUBQR[]jYZfVm bn[]ZOslashK-j H JU^O^

pE paraOacuteOgraveJJTIshyAgravesup1cedilqoacuteIshyacuteLcedilsup3UrltLcedilgtmicrobacuteNsMgtLtrraquoML iquest acuteAgravegtT2MKIOAacutelAcirclaquocedilFAtildeacuteNfrac12oRSJT13AringKacutepoundAEligMKIKJMgtPltLAtildeq jhyZaringNPQcOb[P[]NPfFfsQRJUYTQcO H MeJ JUfsNicent=[PhdN H QR[]O[SXNfrac34[PJUOeJLhNPfXhdNSZOslashJWNtilde[Phl`umlX[Ph H MeJYJ[]ZaringJUO H N H QR[]O7[SXNPO7QZaringN[PJQcO H WF[euml^Q=JLhJUO H hZJ[]QR[]OYtimesjYZQcOF[hZJ[]QR[]OWVcent-NPYJU^NPb H QVUPJIacutebn[]O H []jehdY^ JOtildeKhZ[PKEgrave[]YJ H [ZaringQcOQZ QVcurrenLJ H MeJiexcl[PJUOeJLhdNPfgbnhQ H JLhQc[]O a2jWiexclMeJLhZJUacuteJUNPbM hJ[]QR[]OQcYamp^eJUYbnhQRcentEgraveJU^TjYQcO[UacuteN_XqjOb H Qc[]OtimesbLNPfsfRJU^ n^eJUYZbnhQRK H [Ph[SX H MeJhZJ[]QR[]Op^i YampKhZJUWQuV[]jYfVmOtilde^eJ H NPQcfRJU^OeNiexcl^eJUYbnhQRK H [PhQcY9N XiacutejOb H QR[]O H MN H ZOslashJUNPYZjhZJUY H MJNtildeMe[]ZOslash[S[PJUOJUQ H m[SXyN hZJ[]QR[]OO^Egrave_[]Y H [SXyhJUfRJU~NPO H Y H N H QcY H QcbLNPf^eJUYZbnhQcK H [PhY^JLK=JUO^ H MeJZaringYZJUfVUPJUY[]O H MeJOslashhJ[]QR[]OO^ G []ZOslashJOslashJkeNSZOslashKfRJUYOtildeNihJordm[]QVUPJUOQcO G JUb^shy^ macr^ not [PhTJkWNSZOslashK-fRJSe H MeJhZJ[]Qc[]Oa^eJUYZbnhdQRK H [Phordfuuml thorn timesOslash yuml bLNPO centEgraveJTbM[]YJUOeumlNPY H MJyUiNihQcNPObnJvu centtimesOslash [SX H MeJThJ[]QR[]OOumlcopytimesOslashFeWMQcbdM[]QVUPJUYaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashj|aacute[u centtimesOslash aacutexw$ aOtilde SOtimesOslashjUcirccent atilde aumlw$ atilde aumlWMJLhZJSOtimesOslash QcY H MJyZOslashJUNPO [SX H MeJaumlhJ[]QR[]OwOumlcopytimesOslash^ G jbMaNaring^eJUYZbnhQcK H [PhQcY(ONSZaringJU^aNn5hZJ[]Qc[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhlpOslashYZQcObnJaumlQ H ^eJLKEgraveJUO^YF[]O H MeJaumlhJ[]QR[]OwOuml timesOslash ^q ObnJ H MeJTbnhdQ H JLhQR[]O QcYQcO H h[B^jbnJU^OeWNtildeJTKhZ[PKEgrave[]YJ H [ bn[]ZaringKj H J H MeJTJUP[]fcjWVH QR[]OUacuteJBjN H QR[]OT[SX H MJ0bn[]O H []jh H MN H WQsfcfZaringN`PJ0Q H JUP[]fVUPJ H [WNih^YNyacuteZaringQcOQCZIacutejFZ[SX H MeJTbnhdQ H JLhQR[]OjYZQcO[OslashNaringOeJWH0jfcJLhQcNPOZOslashJ H Me[W^O^ H XqjO^NSZOslashJUO H NPfcfVm ^QEgraveJLhYXiacutehZ[]Z2[ H MJLhFNiKKhZ[]NPbMeJUYFYZQcObnJyacuteWNtildeJ_`PJLJLK H MJ Xiacute[PhlZIacutejfcN H QR[]Oaring[SXhJ[]QR[]OY0QsOY H JUNP^[SXyhJU^jbLQcO[ H MeJWiexclMe[]fRJTKhZ[PcentfRJZ H [ centEgrave[]jO^NihYm QcO H J[PhNPfcY^gtO^JLJU^OeWFJlaquohY HQcO H hZ[W^jbnJFNiexcl^mWONSZaringQsbLNPfYZbdMeJZOslashJ(QcO H MeJ(bnhQ H JLhQc[]OIacuteNPO^ H MeJUOWFJbn[]ZaringKj H J H MeJNtildejfRJLhQcNPO`^eJLhQVUiN H QVUPJaelig[SX H MJOslashJUP[]fVUBQsO[ bnhQ H JLhQR[]O`centm`jYZQsO[ YMNiKEgraveJIacute[PK H QCZaringQVcurrenUN~VH QR[]O KhQsObLQRKfRJUY^]MQcYZOslashJ H Me[W^ KhZ[UWQc^eJUY H MeJUacuteNP^U~NPO H N[PJ H MN HH MeJ5U~NihdQcN H QR[]O[SXehZJ[]Qc[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYbnhQRK H [PhYltWQ H M H MeJFJUP[]fcj H QR[]OIacute[SX H MeJNPb H QVUPJ(bn[]O H []jhbLNPO centEgraveJOtildehZJUNP^QcfVm H N`PJUO`QcO H [ NPbLbn[]jO H ^MeJTbn[]ZOslashKj H N H QR[]Oa[SX H MJTJUP[]fcj H Qc[]OaJBjN H QR[]O`[SX H MeJIacuteNPb H QUPJtimesbn[]O H []jehOtildeQcYKEgraveJLhYXiacute[PhlZOslashJU^QcO H MehJLJyZaringNPQcO Y H JLK-Yaring

uumlnyacute|thornLyuml13 y

yenKbrvbarsect =4 acirc $ hf^ltO H hZ[W^jb H QR[]O[SX$NOslash^mWONSZaringQcbLNPfYbMeJZOslashJSaring JTYJUNihbdMX[Ph H MeJOtildeKNih H Q H Qc[]O[SX H MeJaumlQZ N[PJadOumlcopytimesOslashszliglOuml UgraveUcircUacuteUuml szligYYacutejWMQcbdMZaringQcOQuVZaringQVcurrenLJUY H MeJbnhQ H JLhQR[]Oocirc|adOumlcopytimesOslashgtszliglOuml UgraveUcircUacuteUuml szligYYacutej^eJUYZbnhQRcentEgraveJU^aeligQcOa2j^ MQcfRJNPYZYZjZaringQcO[

H MN H NPO`[PK H QZaringNPf9KNih H Q H Qc[]O JkWQsY H Ye H MJTQcYZYZjJTQcY H [ bn[]ZOslashKj H J H MQcYiexclY[]fcjWVH QR[]OO^ G QsObnJ H MeJ YJ H [SX(NPfcfy^e[]ZaringNPQsOYaumlMNPYIacuteOe[ H NaY H hjb H jehZJOslash[SXcopyUPJUb H [PhQsNPfYKNPbnJSeQ H QcYauml^Qz bLjf HUacuteH [abn[]ZOslashKj H J H MeJ ^eJLhdQVU~N H QUPJOslash[SX H MJ bnhQ H JLhQc[]ONPb|Vbn[Ph^QcO[ H [ H MJ^e[]ZaringNPQsOY^_[ bLQchbLjFZUPJUO H H MQcY`KhZ[PcentfcJZeyacuteWFJNiKKfmN H hNPOYYX[PhlZ N H QR[]O| H [ JUNPbM^e[]ZaringNPQsOOeYZjbdM H MN H Q H centEgraveJUbn[]ZOslashJUY`bn[]OWVH QcOj[]jYZfVm^eJLKEgraveJUO^eJUO H []O NPO JUP[]fsj H QR[]O KNihNSZOslashJ H JLhagrave^MeJ`bnhQ H JLhQR[]Ocent=JUbn[]ZaringJUYT^eJLKEgraveJUO^eJUO H []Obagravearingocirc|aagravejgaacute ocirc|adOumlcopytimesOslashaagravejszliglOuml UgraveUcircUacuteUuml aagravejszligYYacuteaagravejj^QO H MQcY^mBONSZaringQcbLNPfTYbMeJZOslashJSeiexclWFJ bLNPO hJUNP^QcfVm H N`PJQcO H [ NPbLbn[]jO H N K=[]YYZQRcentfRJU~NihQsN H QR[]O[SX H MeJ ^eJUYZbnhdQRK H [PhYWQ H M H MeJJUP[]fVUWQcO[ hZJ[]QR[]OYk|adOuml times j aacuteOumlcopytimesaagravej^

^QiexclJLhdQVU~N H Qc[]O [SX H MeJaumlbnhQ H JLhQc[]O jYZQcO[OslashYZMNiK=JOtilde[PK H QZaringQVcurrenUN H QR[]O H MJL[PhZJZaringYaringMeJNtildebnhdQ H JLhQR[]OocircOcircaagravej9QcY H MeJUOIacute^JLhQVUPJU^TNPbLbn[Phd^QcO[ H [5agrave H MNPO`WY H [ H MeJFbn[]ZaeligVKj H N H QR[]Oeuml[SX H MeJ0jfRJLhQcNPOeuml^eJLhQU~N H QVUPJaelig[SX_ocircjYZQcO[YZMNiKEgraveJaelig[PK H QZ QVcurrenUN H QR[]OKhQcObLQcKfRJUYeOWMQcbMQcYIacuteOJWQsO H MeJNihZJUN [SXNPb H QVUPJ bn[]O H []jehY^$ YXqNihOslashNPYH MeJF^JLhQVUiN H QR[]OTQcYbn[]ObnJLhOeJU^e H MeJU~NihdQcN H QR[]OIacute[SX H MeJF^JUYZbnhQRK H [PhdYWQ H M H MeJJUP[]fVUBQsO[OslashhZJ[]QR[]OY_Oumlcopytimesaagravej(NPO^Y[ordmWQ H MagravetZIacutejY H centEgraveJ H N`PJUOaQcO H [aringNPbLbn[]jO H ^

^vF[]ZOslashKj H N H Qc[]O [SX H MJaumlJUP[]fcj H QR[]OJjN H Qc[]OXh[]Z H MeJauml^eJLhQU~N H QVUPJSaringnot hZ[]Z H MeJNtilde^JLhQVUiN H QVUPJSeWFJNtilde^eJU^jbnJ H MeJUPJUfR[WbLQ H mordfUPJUb H [Ph$[SX H MeJFNPb H QVUPJbn[]OWVH []jeh H MN H WiexclQcfcfZaringN`PJQ H JUP[]fUPJiexclNPYXqNPY H NPY$KEgrave[]YZYQRcentfRJ H [WNih^YNtildeNgZaringQcOQCZIacutejFZ[SX H MeJOtildebnhQ H JLhdQR[]OO^ObLNPYJUacute[SX9hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhYe H MeJUacuteJUP[]fcjWVH QR[]OeumlJjN H QR[]Oeuml[SX H MJaringNPb H QVUPJaringbn[]O H []jhTQcYOtilde^QEgraveJLhZJUO H XhZ[]Z H MJtimes[]OJaringbn[]ZaeligVKj H JU^ Xiacute[Ph hZJ[]QR[]OWV4QcO^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhY^ G []ZOslashJ`NP^^Q H QR[]ONPf H JLhZaringYNiKKEgraveJUNihiexclNPO^`Y[ Q H QcY[SX$KhdQZOslashJaumlOeJUbnJUYZYQ H m H [bn[]OYZQc^JLh H MeJ H WNtilde[o`WQcO^Y([SX^eJUYZbnhQRK H [PhY(YJLKNihN H JUfmS^

9J H jYFOe[ H J H MN HFH MQcY[PJUOeJLhNPfKXiacutehNSZOslashJWF[PhY` bLNPO centEgraveJNiKK-fcQRJU^ H [ordmZaringNPOm ^QEgraveJLhVJUO H NiKKfsQcbLN H QR[]OYcentm[]OfVmbMNPO[]QsO[ H MeJT^eJUYbnhQRK H [PhY^ H MNPYcentEgraveJLJUOOe[ H NicentfmNiKK-fcQRJU^ H [ordmZOslash[UBQsO[aelig[Pcent~5JUb H Y(^J H JUb H QR[]O QcOoUBQs^eJL[timesYZJjeJUObnJUY(NPbjQchZJU^ JUQ H MeJLhWQ H MN Y H N H QcbawS]JUMNPOWV4XFJUYZY[]O J H NPfd^Ve sSs fLbjiexcl[PhUacuteNregZOslash[Pcent-QcfRJTbLNSZOslashJLhdNawS]JUMNPOWVXFJUYZY[]O J H NPf)^Ve sSs fncentj^ JUYZbnhQRK H [PhdYoZ Nm NPfcY[centEgraveJ YJBjeJUO H QcNPfcfVm jYJU^ H [QZaringKhZ[UPJ H MeJu-ONPfBhZJUYZjf H NPYyQ H MNPYampcentEgraveJLJUOaeligKh[PK=[]YZJU^timesQsOtawSPJUMNPOWV4XFJUYZYZ[]OOslashJ H NPfd^VesSs fLNOgravej^^f^~OacuteETHEgraveKEacute18=KETH32EacuteltOacuterEacute0frac34Ntilde83ltOacuteONtildeshyIacute=gtNtildeshyEumltIcirc=39IgraveFIacute5Igrave O QZaringN[PJumlOtildegta2atildeltszligaumlj QcYNxXqjOb H QR[]O ^eJOJU^ Xiacute[Phpounda2atildeshyszligaumlFj OumlOcirccenteuWMeJLhZJOumloslashQcY H MeJ QZaringN[PJ ^e[]ZaringNPQcOO^ltMeJ QCZaringN[PJ ^e[]Z NPQcOQcYIacutebn[]OYZQc^eJLhJU^ H [ cent=JZaringNP^eJjeK`[SX H WF[KNih H Ylaquoa not Q[^fjaring H MJyXiacute[PhZJ[PhZ[]jO^`KNih H bn[]O H NPQsOQcO[ H MeJT[Pcent~JUb H Y H [

uumlnyacute|thornLyuml13

f s $amp)(+-)013021+345627893lt=gt9A6CBYJ[]ZaringJUO H e=Oe[ H JU^frac34OumlcopytimesOslashFe-NPO^ H MeJaumlcent-NPbY`[PhZ[]jO^aKNih H Oe[ H JU^Ouml UgraveUcircUacuteUuml ^MeJauml^QcYZbn[]OWVH QcOBjQ H m`YJ H QcYOtildeNbLjehlUPJ Oe[ H JU^bYacute H MN H ^JOeJUY H MeJ cent=[]jO^NihYmcentEgraveJ H WNtildeJLJUO H MeJH WNtilde[ ^[]ZaringNPQcOY^ J H MJUOaYJUNihbdMtXiacute[Ph H MeJ H WNtilde[^e[]ZaringNPQsOYyacuteOuml UgraveUcircUacuteUuml NPO^wOumlutimes OslashWMQcbdMtZaringQcOQZaringQVcurrenLJ H MeJbnhQ H JLhQR[]Oocircuml[]QVUPJUOcentmumla2jehZJZaringQcO^eJU^ MeJLhZJSaring

ocirc|adOuml UgraveUcircUacuteUuml szliglOumlcopytimesOslashgtszligYYacuteQjumlaacute uuml thorn UgraveUcircUacuteUuml yuml a2atildeltszligaumlgtszliglOuml UgraveUacuteUuml j atilde auml $ uuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOuml timesOslash j atilde aumlamp uacuteucirc thorn yuml uuml thorn otilde)yuml a2atildeshyszligaumlFj THORN5OaumlbnhQ H JLhdQR[]Oa2je H MeJ|hY HH WNtilde[ H JLhlZaringY9NihJyhZJ[]QR[]OWVcent-NPYJU^ordfWMQsfRJ H MeJ H MQRhd^ H JLhlZQcYcentEgrave[]jO^NihYmVcentNPYJU^O^MeJiexclXqjOb H QR[]OYyacuteuuml thorn UgraveUcircUacuteUuml yuml egtuuml thorn timesOslash yuml NPO^tuuml thorn otilde)yuml NihZJaumlhZJUYKEgraveJUb H QVUPJUfmH MeJ^eJUYZbnhdQRK H [PhY[SX H MeJFcentNPbl`[PhZ[]jO^timesKNih H ei[SX H MeJ[Pcent~JUb H Y H [OtildeYJ[]ZOslashJUO H NPO^Iacute[SXH MeJaumlbn[]O H []jeh^KMeJauml^eJUYbnhQRK H [PhYuZ Nm centEgraveJordf[]fR[PcentNPfcfm N HH NPbMJU^ H [ H MeJOtildeJUP[]fVUWQcO[hZJ[]Qc[]OY(NPO^Y[ ^eJLKEgraveJUO^ []Ofrac34Ouml timesOslash [Ph5OumluUgraveUcircUacuteUuml^

G QcObnJ H MeJaringYJ H [SXNtildeNPfsf$^e[]ZaringNPQcOYUacuteMNPYOtildeO[ H N Y H hjb H jehJtimes[SXUPJUb H [PhQcNPfyYZKNPbnJSeWFJIacutebLNPOeumlOe[ H bn[]ZOslashKj H J H MeJaelig^eJLhQVUiN H QVUPJT[SX H MJIacuteKhJUBQR[]jYbnhQ H JLhdQR[]OaNPbLbn[Ph^QcO[H [euml^e[]ZaringNPQcOY^ltMJLhZJX[PhJSe H [bn[]ZOslashKj H JNPO[PK H QZaringNPfFY[]fcj H Qc[]OOe9Neuml^mWONSZaringQcbLNPfYZbdMeJZOslashJOtildeQcYQcO H hZ[W^jbnJU^WMeJLhZJJUNPbM^[]ZaringNPQcO cent=JUbn[]ZaringJUY(bn[]O H QcOBje[]jYfVm ^eJLKEgraveJUOWV^eJUO H []ONPO JUP[]fcj H QR[]O KNihdNSZOslashJ H JLhagrave^59[ X[PhZaringNPfcQVcurrenLJ H MQcYQc^eJUNe WNtildeJxZaringNmYZjKKEgrave[]YJ H MN HTH MJ JUP[]fcj H Qc[]OKhZ[WbnJUYZYtimesQcY H [ H NPfsfVm^eJ H JLhlZaringQcOJU^centm H MJ JkeQcY5VH JUObnJiexcl[SXgNyXqNSZaringQcfmIacute[SXgNiKK-fcQcbLN H QR[]OY| H MN HNtildeH hNPOYXiacute[PhlZaringY H MeJiexclQsOQ H QcNPfe^e[]Z NPQcOYOumlcopytimesOslashgta s jNPO^tOuml UgraveUcircUacuteUuml a s jQsO H [ H MeJIacutebLjehZhZJUO H ^e[]ZaringNPQcOYyacuteOumlcopytimesOslashKaagravejNPO^frac34Ouml UgraveUcircUacuteUuml aagravejaring

OumlutimesUcirca s j ntilde OumlcopytimesaagravejYacutea s j ntilde Yacuteaagravej WiexclMeJLhZJVQaacuteiV[Ph Kf5 iumlMBjY H MeJOtildehJ[]QR[]OY(JUP[]fVUPJ H [WNih^YiexclNPO [PK H QZaringNPf9Y[]fcj H QR[]O^MeJ H hQRKfcJ H Ouml UgraveUcircUacuteUuml aagravejszliglOumlcopytimesOslashOaagravejszligYYacuteaagravejordmZIacutejY H NPb H NPYNregZaringQcOQZ QVcurrenUQcO[TYZJjeJUObnJgX[Phocirc|adOuml UgraveUcircUacuteUuml szliglOumlcopytimesOslashszligYYacutejWiexclMeJUOagrave JUP[]fVUPJUY^MeJ5XqjOb H QR[]ONPfOocircOcircadOuml UgraveUacuteUuml aagravejszliglOumlcopytimesOslashaagravejszligYYacuteaagravejjMNPY H [ bn[]OOgraveUPJLhY[PJ H [WNih^Y H MeJpoundZaringQcOQCZIacutejFZ UiNPfcjeJeuml[SXregocirc2NPYfrac34agraveacircntilde ograveegrave^ MeJbnhQ H JLhQR[]O H MeJUO centEgraveJUbn[]ZOslashJUYaring

ocirc|adOuml UgraveUcircUacuteUuml aagravejszliglOumlcopytimesOslashaagravejszligYYacuteaagravejjaacute thorn yuml uuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszliglOuml UgraveUcircUacuteUuml aagravejj atilde auml 5$ thorn yuml uuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashKaagravejj atilde aumlj uacuteucirc thorn yuml uuml thorn otilde)yuml a2atildeshyszligaumlFj THORN adh]jMJoXqjOb H Qc[]ONPf_ocircOcircadOumlyacuteUgraveUacuteUumllaagravejszliglOuml timesOslash aagravejszligYYacuteaagravejjaeligQcY H MeJLhZJUNX H JLh O[ H JU^egraveocirc|aagraveje0NPO^H MeJ ^eJUYZbnhQcK H [PhYuuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashKaagravejj NPO^icircuuml thorn UgraveUcircUacuteUuml yuml a2atildeltszligaumlgtszliglOuml UgraveUcircUacuteUuml aagravejjaringNihZJ`hZJUYKEgraveJUb|VH QVUPJUfmUacuteO[ H JU^laquouuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejgNPO^laquouuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszligYagravejeWMQcbdMTfRJUNP^Y H [ H MeJXiacute[]fcfR[WQcO[

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ fSfJkWKhZJUYZYQR[]OOaring

ocirc|aagravejumlaacute thorn yuml uuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszligYagravej atilde auml $ thorn yuml uumlgtthorn timesOslash yuml a2atildeltszligaumlgtszligYagravej atilde aumlj uacuteucirc thorn yuml uumlgtthorn otilde)yuml a2atildeshyszligaumlFj THORN af s j5OOtildebn[]O H hdNPY H WQ H MUacute[ H MeJLh9NPb H QVUPJFbn[]O H []jehdY9NiKKh[]NPbMeJUYe H MeJy^mWONSZaringQcbLNPfPYZbdMeJZOslashJQcYtimesMeJLhZJ^QRhJUb H fVmQcO H h[B^jbnJU^QcO H MeJbnhQ H JLhQc[]OO^ Q H MYZjbdMNeumlYZbdMeJZOslashJSe H MeJQcO H hZ[W^jb H QR[]OOacute[SXiexclNPO NPb H QVUPJbn[]O H []jehOslashJUP[]fVUWQcO[ WQ H Msup1agraveQcYaeligY H hNPQ[]M H Xiacute[PhYWNih^O^iexclJUObnJ WNtildeJbn[]OYZQc^eJLh H MN H Yacuteaagravej QsYoZaring[B^eJUfsfRJU^ NPY NPO NPb H QUPJOacutebn[]O H []jh H MN Hbn[]OUPJLhY[PJUY H [WNih^Y H MJgONPfEgraveJkWKEgraveJUb H JU^YJ[]ZOslashJUO H N H QR[]OO^9J H Yacutea s jtimescentEgraveJ H MeJQcOQ H QcNPfNtildebLjhYUPJa^eJOJU^centm H MeJjYJLh^ JahZJUbLNPfcf H MN H WFJYJUNihdbMtXiacute[Ph YacuteaagravejNPYNaringbLjehlUPJaumlJUP[]fVUWQcO[aringNPbLbn[Ph^QsO[ H [ H MeJgXiacute[]fcfR[WQcO[ordm5 aringaelig YacuteadTHORNOgraveszligYagravejaelig agrave aacuteegraveeuml WiexclQ H MigraveYacutea s j|aacuteegraveYacuteshyiacute afSfjWMJLhZJ_euml`QcY H MJ_UPJUfR[WbLQ H mUPJUb H [Ph([SX H MeJUacuteNPb H QVUPJOtildebn[]O H []jh^MeJ_Z NPQcO KhZ[PcentfRJZfcQcJUYFQsO-O^QcO[ H MeJiexclUPJUfR[WbLQ H meumlXhZ[]Z H MJUacutebnhdQ H JLhQR[]Opoundaf s jFQcO [Ph^JLh H [ordm[PJ HH MeJXqNPY H JUY H bLjhYUPJaumlJUP[]fcj H Qc[]O H [WNih^Y H MeJordfONPfYJ[]ZaringJUO H N H QR[]O^^ ^iexclEacuteltIacuteETHNtildeFETHEacuteshyOacute Eacute10wETH9Igrave8ltIgraveFEgravegt+NtildeFETH3gt+ltIgraveumlEacute10frac34ETH9Igrave=KEgrave13ETHIgraveFEgraveEacuteshyOacute5Oeuml[Ph^eJLh H [ [Pcent H NPQsO H MeJOslashJUP[]fcj H QR[]OeumlJBjN H QR[]Oe H MeJaringbnhQ H JLhQc[]OxocircOcircaagravej5ZtimesjY H centEgraveJ^QV=JLhZJUO H QcN H JU^WQ H MhZJUYKEgraveJUb H(H [agrave^MeJOtildeQcO H J[PhNPfcentEgrave[]jO^Y^eJLKEgraveJUO^ []Otagrave NPO^H MeJauml^JUYZbnhQRK H [PhdYyacuteuuml thorn UgraveUcircUacuteUuml yuml a)jNPO^wuuml thorn times Oslash yuml a)juZaringNm NPfcY[aring^JLK=JUO^[]Otagrave^9J H jY^eJOJ H MeJordfXiacutejOb H QR[]ONPfuumlOa2atildeltszligaumlgtszligYagravejYZjbM H MN H aring

uumlOa2atildeltszligaumlgtszligYagravej|aacute uuml thorn UgraveUacuteUuml yuml a2atildeltszligaumlgtszligYagravej QVXcopya2atildeltszligaumljwOuml UgraveUcircUacuteUuml aagravejuuml thorn times Oslash yuml a2atildeltszligaumlgtszligYagravej QVXcopya2atildeshyszligaumlFjtOumlcopytimesOslashKaagravej af jMJbXqjOb H QR[]ONPfuuml thorn UgraveUcircUacuteUuml yuml a)jNPO^Huuml thorn times Oslash yuml a)j`NihZJ^eJOJU^ []O H MeJxWMe[]fRJ7QZaringN[PJ^e[]Z NPQcOtOumliexcl^FMeJUOe H MeJaumlbnhQ H JLhQc[]OocircOcircaagravejuWhQ H JUY(NPYaring

ocirc|aagravejOcircaacute uacute uumlOa2atildeshyszligaumlKszligYagravej atilde aumlj uacuteucirc thorn yuml uumlgtthorn otilde)yuml a2atildeshyszligaumlFj THORNordfaacuteocirc aagravej ocirc cent aagravej af]jWMJLhZJgOuml QcY H MeJaumlQCZaringN[PJT^e[]ZaringNPQsOOeeNPO^Oaring

ocirc aagravej|aacute uacute uumlOa2atildeshyszligaumlKszligYagravej atilde aumlocirc cent aagravejOcircaacute uacuteucirc thorn yuml uuml thorn otilde)yuml a2atildeshyszligaumlFj THORN

uumlnyacutenthornnyumll13YSordmY_F

f $amp)(+-)013021+345627893lt=gt9A6CB5OOtilde[Ph^eJLh H [bn[]ZaringKj H J H MJ0^eJLhQVUiN H QVUPJy[SX H MJNtildebnhQ H JLhdQR[]Olaquoocirc aagraveje H MJNtilde^QcYbn[]O H QcOBjWVQ H QcJUY|ZtimesjY H JkWKfcQcbLQ H fVmIacutecentEgraveJ H N`PJUOQcO H [IacuteNPbLbn[]jO H ^ not [Ph(YZjbdM NIacuteKjehZKEgrave[]YJSeSWFJ5hY HhZJUbLNPfsf-N[PJUOeJLhNPf H MeJL[PhJZbn[]ObnJLhOQcO[ H MeJUacute^eJLhQVUiN H QVUPJ[SX9N H QZOslashJnV4^eJLKEgraveJUO^JUO HbnhQ H JLhQR[]OO^9J H jY(^eJ-OeJyOumlcopytimesaagravejNPYNOslashhZJ[]Qc[]OQcObLfcj^eJU^QcO H [regOumlordf^yacute5 q Ntilde_ f^1ltuumlStimesBiexcl centpoundcurrenyencurrenbrvbarsectumlordfcopynotlaquo3shyyenLregmacrcurrenRlaquodegcurrenbrvbarlaquo Oumlplusmna s szligsup2|iexcljsup3acute Rlaquomicromiddotparagtltocirc|aagravejOcircaacute w thorn yuml uumlStimesYa2atildeltszligaumlgtszligYagravej atilde auml~sup3cedilsectsup1ltlaquoordm ocirc agrave aacuteocirc7raquodaagravejOcircaacute thorn yuml aelig uumlStimesaelig agrave atilde auml uacutefrac14 thorn yuml uumlStimesYafrac34frac12 eacuteAgraveiquestsup1AacuteAtildeAcircYj THORNAuml sectsup1ltAringPfrac12AEligreg(centsectsup1Ccedilbrvbar_paracurrenyenshyltregLLEgraveacutecurrensup2uml aelig Oumlcopytimesaagravej RlaquomicroeacuteAgraveiquestsup1AacuteAtildeAcircEacuteregEcirccentsectsup1copysup1laquoregEumlreg(laquo Auml brvbarAringsup2microacutelaquocurrenRAringordfpound RparaIgravecurren aelig Oumlcopytimesaagravej_IacuteMJ^JLhQVUiN H QVUPJ[SXshyocircWQ H MaelighZJUYZK=JUb HampH [yagraveaeligQcY H MJyacute0jfRJLhdQcNPOIacute^JLhQVUiN H QVUPJ([SXocirc|adOumlcopytimesAjQcO H MeJOtilde^QRhJUb H QR[]O [SXEumlfrac12umleWMQcbdM bn[]ZaringKj H N H QR[]O QcY[]QVUPJUO QsO iexclKKEgraveJUO^Qkaring ^FMeJUiNihQcN H QR[]Oeuml[SX5ocirc QcYOtilde^jeJ H [ H MeJUiNihQcN H Qc[]O[SX H MeJordmXiacutejOb H QR[]ONPfOcircuuml]timesa2atildeltszligaumlgtszligYagravejaumlNPO^H [ H MeJgZOslash[ H Qc[]O[SX H MeJOtildeQcO H J[PhNPf^e[]ZaringNPQsOOumlutimesaagravej^ Y(Naeligbn[PhZ[]fcfcNihYm [SXltMJL[PhZJZfeFWFJordf[PJ H aringv q q shy9 5lt f^yenIcirccopyNcentampcentcopyIuml-Iumlsup1currenfcentyenYsectnot -sectsup1Ymicro-currenRpound Rreglaquofrac34Oumlgaagravejampreg(centpound -microETHcopyIumliexclcurrensup2uml Auml currenCIuml RAringordfcentsup3yOuml timesOslash aagravejNtilde RlaquomicropoundOumlyacuteUgraveUacuteUumllaagravejOgravecentyenfrac34Iumlsup1 brvbarAringsup2 brvbarmicro_Egraveh iexclpoundYcurrenbrvbarCcedildreglaquoNOacutehreglaquo5_Aringumllt -shytYacuteaagravejAuml sectETHregmacrshy_sectOcircCcedilRltparaOtildecurrendshyltregLLEgraveregEcirccentyacuteeumlEumlIacuteOumlsectsup1Uumlordfcopynotlaquo3shyyenLregmacrcurrenRlaquouumlOa2atildeltszligaumlgtszligYagravejreg(centcentordfcopyIuml-Iumlsup1currenfcentyenmicroOcircIgravecurrenOcirccentltfrac34Iuml RAringsup2 -_paraEgraveshycurrenRlaquo5LreglaquocopycurrenRcopynotcentcedilreglaquoyOumlcopytimesOslashKaagravejW Rlaquomicro Ouml UgraveUcircUacuteUuml aagravej_copy3pound REgraveampJmicrobrvbarregEcirccentltshycurrenRlaquo5LreglaquocopycurrenRcopynotcentJ -shyltAringPcurrenfcentcentYacuteaagravej_Iacutetimes Agravelaquocurrenbrvbaruuml thorn times Oslash yuml Rlaquomicroruuml thorn UgraveUcircUacuteUuml yuml sup3sectsup1Ccedilf brvbarparacopy5iexclcurrensup2umlwuumlreglaquoOslashAringordfcentIumlshydLreg(Ccedilbrvbar_paraEgraverOumlutimes OslashaagravejAgrave Rlaquo3microOuml UgraveUcircUacuteUuml aagravej_IacuteUgraveOumlsectNcopyNcentampsectmicroETH_Aringordfreg(CcedilR brvbarLregCcedilRcurrensup2umlordfocirc|aagravej Auml AringregLordfcent fcent_ordm

ocirc7raquo)aagravejOcircaacuteUacute thorn yuml aelig uumlaelig agrave atilde auml uacutefrac14 thorn yuml uumlOaLUcirc eacute iquestsup1Aacute j THORN uacuteucirc thorn yuml uumlNaeuml eacuteHj THORNAuml sectsup1ltAringPacute uumlNAringfrac34Iuml3AringP_centlt_laquocentYsectUumlordfcopysup1poundUgraveIumlcurrensup2umlguumlh -shyltAringPcurrenfcentcentordfYacuteaagravej_ordmW uumlNaacuteacircuuml thorn UgraveUacuteUuml yuml uuml thorn times Oslash yuml sup3eacute sectsup1ncopynotlaquo5reglaquo3currenRAringpound RparaIcirccurrensup2umlordfYacuteaagravejmicrobrvbarreg(AringshydmicroampumlAringPcurrenRpound Ouml UgraveUacuteUuml aagravejIgravecurrenOumlutimes OslashKaagravejsup3eacuteAgraveiquestsup1Aacutesectcopysup1laquoregLEumlreglaquo Auml RAringPmicroOcirclaquocurrenRAringordfpound Rpara1Igravecurren aelig Oumlgaagravejj RlaquomicroUcircYacutesectsup1jCcedilbrvbar_paracurrenyenshyltregLLEgravenCcedilbrvbarshydIgravecurrenRAringjcurrensup2uml_Oumlyaagravej_Iacute

plusmngLMOMraquo aring JbLNPO NiKKfVm MJL[PhZJZ f H [ H MeJ ^[]ZaringNPQcO Oumlutimes OslashaagravejaringNPO^ H [ H MeJ^e[]Z NPQcOtOuml UgraveUcircUacuteUuml aagravej^ ^^QcO[ H MeJ H WF[aringJjN H QR[]OYeFWFJOtilde[Pcent H NPQcO H MeJTbn[PhZ[]fcfsNihYmS^ H QcYIacuteOe[WY H hNPQ[]M H Xiacute[PhYWNih^ H [[PJ HtimesH MeJ ^eJLhdQVU~N H QUPJ [SX H MeJ bnhQ H JLhQR[]O ocirc aagravejaringWFJ H N`PJ5OumlyaagravejOcircaacuteAumlOuml H MeJiexclQZaringN[PJ^e[]Z NPQcOta not QV[^ j^MJUOOePcentmaeligJkWKfcQcbLQ H fVm H N`WQcO[

uumlnyacutenthornnyumll13YSordmY_FY

yenKbrvbarsect =4 acirc $ fH MeJtimes^QcYZbn[]O H QcOBjQ H QRJUY(QsO H [ NPbLbn[]jO HUacuteH MNPOF`BY H [ H MeJtimesbn[PhZ[]fcfcNihlmSe H MeJtimes^eJLhQVUiN H QVUPJ[SXocirc aagravejQcYcopy[]QVUPJUOacentmKaring

ocirc raquo aagravejumlaacute uacuteucirc thorn yuml uumlNaeuml eacutej THORN uacutefrac14 uumlOaLUcirc eacuteAgraveiquestsup1Aacutej THORN $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde auml thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afj

q centUWQR[]jYZfVmSe H MeJ7YJUbn[]O^ H JLhlZ [SX H MeJ7^eJLhQVUiN H QVUPJ afjaQcYcurrenLJLh[ YZQcObnJ H MeJJk H JLhONPf(centEgrave[]jO^NihYm aelig OumlD[SX H MeJ`QZaringN[PJaQcYkBJU^^OcircJLKfcNPbLQsO[` uumlN_WQ H MQ H YJkWKhZJUYZYQR[]OOeWNtildeJyO^Oaring

ocirc7raquo aagravejumlaacute uacuteucirc thorn yuml aduuml thorn UgraveUcircUacuteUuml yuml1 uuml thorn timesOslash yuml jaeuml eacuteHj THORN $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde auml thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afmacr]jMJUacute^JLhQVUiN H QVUPJOtilde[SXocirc cent aagravejQcY(bLfcNPYZYQcbLNPfdaring

ocirc7raquocent aagravejOcircaacute uacuteucirc thorn yuml a uuml thorn otilde)yumld huuml thorn otilde)yuml7 eacutejaeuml eacutej THORN af]jWMJLhZJ a2atildeshyszligaumlKszligYagravejQcY H MeJaumlbLjehlU~N H jehJ[SXQYacutea2atildeltszligaumlgtszligYagravej^MeJLhZJXiacute[PhZJSe H MeJOtilde^eJLhQVUiN H QVUPJ[SX H MeJgWM[]fRJOtildebnhQ H JLhQR[]O QsY H MeJordfXiacute[]fcfR[WiexclQcO[aring

ocirc raquo aagravejpoundaacute $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde aumlamp thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afzSj uacuteucirc thorn yuml aduuml thorn UgraveUcircUacuteUuml yuml uuml thorn timesOslash yuml uuml thorn otilde)yuml huuml thorn otilde)yuml eacutejaeuml eacutej THORN

^ ^~THORNUgrave2FEgraveOIgraveIcircIcirclt2EacuteltOacute Eacute0frac34ETH9Igrave8shyIgraveFEgraveEcirc+NtildeFETH3Ecirc+ltIgraveNtilde7==EacuteltEgrave7813Oacute14 ETHOEacute ETH9IgraveOacuteszligltOacuteshyEacuteOacuteAgrave+QIgraveFEumlEacuteAtilde=13ETH+ltIgrave5=KETHOEacuteshyEgravesup1euml5Oaelig[Ph^eJLh H [Tbn[]ZaringKj H J H MeJuUPJUfR[WbLQ H mUPJUb H [PhcopyeumleSWNtildeJMNUPJ H [yZ N`PJQ H NiKKEgraveJUNihyQcOH MeJhY HH WF[ ^e[]Z NPQcOaQcO H J[PhNPfcYiexcl[SX afzSjcentmJkWKhZJUYZYQcO[ H MeJZ NPY_XiacutejOb H QR[]OY[SX H MeJgUPJUfR[WbLQ H meumlQ^iexclJLhZJiexclWFJ H N`PJ H MeJ5[PJUOeJLhNPfbLNPYZJ5WiexclMeJLhZJ H MeJ^JUYZbnhQRK H [PhdYZaringNm ^eJLKEgraveJUO^ []OXiacuteJUN H jehZJUY5[]fR[PcentNPfsfVmN HH NPbMeJU^ H [ H MJtimeshJ[]QR[]OeumlNPO^eumlY[oZ Nm`^JLK=JUO^a[]O agrave^ JZOslash[W^eJUf$JUNPbdM^eJUYZbnhQRK H [PhIacuteNPYtimesNabn[]ZIacutecentQcON H QR[]OOacute[SXuXJUN H jhZJUYy[]fc[PcentNPfcfVmeumlN HH NPbMeJU^

uumlnyacutenthornnyumll13YSordmY_F

f $amp)(+-)013021+345627893lt=gt9A6CBH [ H MJOtildeJUP[]fVUBQsO[OslashhZJ[]QR[]OY_OumlcopytimesOslashKaagravejF[Ph_Ouml UgraveUacuteUuml aagravejaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejpoundaacuteAElig thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn timesOslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejszligiumlViumlViumlVszligagrave thorn timesOslash yumlaacute aagravejjuuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszligYagravejpoundaacuteAElig thorn UgraveUcircUacuteUuml yuml a2atildeltszligaumlgtszligagrave thorn UgraveUcircUacuteUuml yuml aagravejszligagrave thorn UgraveUcircUacuteUuml yumlcent aagravejszligiumlViumlViumlVszligagrave thorn UgraveUcircUacuteUuml yumlacirc aagravejjafi]j

WMJLhZJSaring agrave thorn(atilde yumlauml aacute 7aring thorn yuml5aelig thorn(atilde yumlauml a2atildeltszligaumlgtszligYagravej atilde auml WQ H Mpounda jOcircaacuteacircaVltjF[Pha Kf5 jiuml afh]j9J H jYuhY H bn[]ZOslashKj H J H MeJIacute^eJLhQVUiN H QVUPJOtilde[SXuuml thorn timesOslash yuml eFWFJgO^Oaring

aelig uuml thorn times Oslash yumlaelig agrave aacute aacuteccedilaumlegrave aelig thorn timesOslash yumlaelig agrave thorn times Oslash yumlauml a2atildeltszligaumlgtszligagrave thorn timesOslash yuml aagravejszligiumlViumlViumlVszligagrave thorn timesOslash yumlaacute aagravejj aelig agrave thorn timesOslash yumlaumlaelig agrave aagravej a s j J MNUPJOe[W H [bn[]ZOslashKj H J H MeJ ^eJLhdQVU~N H QUPJ [SXagrave thorn timesOslash yumlauml NPbLbn[Ph^QcO[ H [umlagrave^ JNiKK-fVm H MeJgMeJL[PhZJZigravefaumlNPO^WNtildeJy[PJ H aring

aelig agrave thorn timesOslash yumlaumlaelig agrave aacute $ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde auml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacutej THORN a fj

JLKfcNPbLQcO[ H MeJNtilde^eJLhdQVU~N H QUPJUY9[SX3agrave thorn timesOslash yumlauml WQ H M H MeJUQRhJkWKhZJUYZYZQc[]OYa fj9QcOa s jeSWFJ[Pcent H NPQsO H MJXiacute[]fcfR[WQcO[iexclJkBKhJUYZYZQR[]OX[Ph H MJF^e[]Z NPQcOaeligQcO H J[PhdNPf[SX H MeJ^eJLhQVUiN H QVUPJ[SX H MeJT^eJUYbnhQRK H [Ph uuml thorn times Oslash yuml aring

$ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde aumlacircaacute aacuteccedilaumlordfegrave -eacute thorn timesOslash yumlauml $ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde auml

aacuteccedilaumlordfegrave eacute thorn timesOslash yumlauml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacuteHj THORN a S jWMJLhZJSaring

eacute thorn timesOslash yumlauml aacute $ thorn yuml aelig thorn timesOslash yumlaelig agrave thorn timesOslash yumlauml a2atildeltszligaumlgtszligagrave thorn timesOslash yuml aagravejszligiumlViumlViumlVszligagrave thorn times Oslash yumlaacute aagravejj atilde auml a ]jMJIacuteJkWKhZJUYZYQR[]OwXiacute[Pha jyacuteaacute a Kf jiexclQcYbn[]ZOslashKj H JU^QsO H MeJaeligYZNSZOslashJordmZaringNPOOeJLhiexclWMQcfRJKNmBQsO[N HH JUO H Qc[]O H [ H MeJ`^QRhZJUb H QR[]O[SX H MeJ`Oe[PhlZaringNPfcopyUPJUb H [PheNPO^rWFJ H MBjY

uumlnyacutenthornnyumll13YSordmY_Fsup2

yenKbrvbarsect =4 acirc $ fmacr[Pcent H NPQsO H MeJg[PJUOeJLhNPfgJkBKhJUYZYZQR[]OXiacute[Ph H MeJauml^JLhQVUiN H QVUPJOtilde[SXocircOcircaagravejaring

ocirc raquo aagravejumlaacute uacuteucirc thorn yuml aduumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn times Oslash yuml uumlgtthorn otilde)yuml d hreguumlgtthorn otilde)yuml eacuteHjaeuml eacutej THORN aacuteccedilaumlordfegrave eacute thorn timesOslash yumlauml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacuteHj THORN acircccedilaumlordfegrave eacute thorn UgraveUcircUacuteUuml yumlauml uacuteucirc thorn yuml aelig thorn UgraveUcircUacuteUuml yumlauml aeuml eacutej THORN aacuteccedilaumlordfegrave -eacute thorn timesOslash yumlauml $ thorn yuml aelig aelig thorn

timesOslash yumlaumlaelig agrave atilde auml acircccedilaumlordfegrave eacute thorn UgraveUcircUacuteUuml yumlauml thorn yuml aelig aelig thorn

UgraveUcircUacuteUuml yumlaumlaelig agrave atilde auml a j^ ^ecirccopyEgraveEacuteshyIacuteIumlETH39shyIgrave8shyIgraveFEgraveEcirc+NtildeFETH3gt+QIgraveETHOEacute3iexclNtildeshyEgrave78QIcircETH9IgraveumlIgrave+EacuteltEumlETHshyETHEacuteshyOacuterIgrave5euml1ONtildeFETH32EacuteltOacuteEacute10wETH9Igrave Ntilde=KETH3gt+ltIgrave=EacuteshyOacuteshyETHEacute1EgraveMJ[P[]NPf[SX H MQsYampKNih H QcY H [aumlbn[]ZOslashK-j H J H MeJ(JkWKhZJUYZYZQc[]Oaelig[SX H MeJuUPJUfc[BbLQ H mUPJUb H [PheumlwWMQcbdMregZaringN`PJUY H MeJUacutebLjehYUPJJUP[]fVUPJOtildeNPYXiacuteNPY H NPYFKEgrave[]YZYZQRcent-fRJ H [WNih^Y(NZaringQcOQCZIacutejFZ[SX H MeJaeligbnhQ H JLhdQR[]Oumlocirc^KO`[Ph^eJLh H [ ^JU^jbnJ H MJyUPJUfR[WbLQ H mwUPJUb H [PhOtilde[SX H MeJaeligNPb H QVUPJbn[]O H []jehQXhZ[]Z H MeJF^eJLhQVUiN H QVUPJ0[SX H MeJNtildebnhQ H JLhQR[]OOeWFJMNUPJ H [5Z N`PJFNiKKEgraveJUNih H MeJUPJUfR[WbLQ H moUPJUb H [PhUacuteQcO H MJTfcNPY HH WNtilde[ ^e[]ZaringNPQcOaQcO H J[PhdNPfcY(centm JkWKhZJUYYZQcO[ H MeJZ NPYcentEgrave[]jO^NihYm QcO H J[PhNPfcY^FMQcYbLNPOaJUNPYZQcfVm centEgraveJauml^e[]OeJTjYZQcO[MJL[PhZJZigravefe-^[]ZaringNPQcOQcO H J[PhNPfcYbLNPOeumlNPfVWNmWYiexclcentEgraveJIacuteJkBKhJUYZYJU^ NPYcentEgrave[]jO^NihYm QcO H J[PhdNPfcY^gtiexcl[WFJUPJLheOXiacute[PhYZQCZOslashKfcQcbLQ H mSe-fcJ H jYbn[]OYZQc^eJLh H MeJaringbLNPYJUYgWMeJLhZJ H MeJUYJOslashfcNPY HH WNtilde[`QcO H J[PhdNPfcYOtildeNihZJJBjNPf H [currenLJLhZ[eOgraveWMQcbMaringMNiKKEgraveJUOYX[PhZOslash[]Y H hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhdQRK H [PhY^S5OH MN H bLNPYJSeNPbLbn[Ph^QsO[ H [ H MeJaeligQcOeJBjNPfcQ H m[SXvNPjbdMOgravemV G bdMOgraveWNih H currenSe H MeJXiacuteNPY H JUY H^eJUbnhJUNPYJa[SXocirc|aagravejOslashQcY [Pcent H NPQcOeJU^ XhZ[]Zecirca jOslashcentm bMe[B[]YZQcOF[beuml aacute ccedilyeacute WMQsbMfRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[aeligJUP[]fcj H Qc[]O JjN H QR[]OOaringaelig Yacuteaagravejaelig agrave aacuteFuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yuml uuml thorn otilde)yuml eacute aacuteccedilaumlordfegrave ETHeacute thorn timesOslash yumlauml aelig thorn timesOslash yumlauml acircccedilaumlordfegrave ETHeacute thorn UgraveUcircUacuteUuml yumlauml aelig thorn UgraveUcircUacuteUuml yumlauml lteacute a macr]jUcircX H MJ^eJUYZbnhQRK H [PhY$^e[TOe[ H ^eJLKEgraveJUO^times[]OregagravetaiacutehZJ[]QR[]OeV4QcO^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhYjeH MeJgiexcl hZJU^jbnJUY H [ H MeJordfXiacute[]fcfR[WQcO[aeligJkWKhZJUYZYQR[]OOaringaelig Yacuteaagravejaelig agrave aacuteigraveuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yumldn reguuml thorn otilde)yuml7 eacutelteacute a ]j

uumlnyacutenthornnyumll13YSordmY_FY

f $amp)(+-)013021+345627893lt=gt9A6CB JaeligbLNPO`O[ H QcbnJ H MN HH MeJtimes^eJLKEgraveJUO^eJUObnJauml[SX H MJIacute^eJUYZbnhdQRK H [PhY[]OwagraveeEgraveNPO^aY[ []OH MeJiexclbLjehYUPJJUP[]fcj H QR[]OOeQcO^jbnJUY0NP^^Q H QR[]ONPf H JLhlZaringYFQcO H MeJiexclJUP[]fcj H QR[]O JjN H QR[]O[SX H MJFNPb H QVUPJ(bn[]O H []jeh^SMeJNP^^Q H QR[]ONPf H JLhZaringYQX[]jO^IacuteQcOoa macr]jbLNPOOe[ H hZJUNP^QsfVmcentEgraveJtimes[Pcent H NPQcOeJU^ WMJUO H MeJOslash^mBONSZaringQcbLNPfampYZbMJZOslashJaringQcYOtildeQcO H hZ[W^jbnJU^eumlNX H JLh H MeJOslashbn[]ZaeligVKj H N H QR[]Oa[SX H MeJaelig^eJLhQVUiN H QVUPJaeligjYZQcO[o0jfcJLhVA9N[PhNPOF[PJIacuteJBjN H QR[]OY^MjYe-Q H QcY[SX=KhQZaringJOeJUbnJUYZYZQ H m H [TQcO H hZ[B^jbnJ H MeJ^mWONSZaringQsbLNPfeYZbMeJZaringJiexclQcO H [ H MeJbnhQ H JLhQR[]OQ H YZJUfVXiexclQcO[Phd^eJLh H [JUNPYZQsfVmsup1[PJ H H MeJUYJaNP^^Q H QR[]ONPf H JLhlZ Y QcO bLNPYJa[SXhJ[]QR[]OWV^eJLKEgraveJUO^JUO H ^JUYZbnhQRK H [PhdY^MNPO`BY H [ H MeJUYJeumlNP^^Q H QR[]ONPf H JLhlZaringYeWFJ`JUOYZjehZJH MeJordfXqNPY H JUY H JUP[]fcj H QR[]O [SX H MeJIacutebLjehYUPJ H [WNih^YiexclNZaringQcOQZIacutejZ [SX H MeJTbnhdQ H JLhQR[]OO^ JeumlbLNPO NPfcY[hZJZaringNihY` H MN H H MeJUPJUfR[BbLQ H m[SX H MeJ bn[]O H []jhQsOa macr]j bLNPOcentEgraveJ K=[]YQ H QVUPJ[PharingOeJ[]N H QVUPJS^|MQcYaeligNPO QcO H JLhZJUY H QcO[eumlKh[PK=JLh H mOacute[SXiexclhZJ[]QR[]OWVcent-NPYJU^NPb H QVUPJ bn[]O H []jehY^ q O H MeJ bn[]O H hNihYm H [ centEgrave[]jO^NihYmVcentNPYJU^7NPb H QVUPJ bn[]O H []jehdYehZJ[]Qc[]OWVcentNPYJU^7NPb H QVUPJbn[]O H []jehYOslashNPfcfR[WYZ[]ZOslashJKNih H Ytimes[SX H MeJ bLjehYUPJ H [YZMehQsO`WMQcfRJ[ H MeJLhY(JkWKNPO^O^FMjY H MeJaumlQcOQ H QsNPfcQVcurrenUN H QR[]O QcYfRJUYYbn[]OY H hNPQsOeJU^O^^ macr^iexclEacuteltIacuteETHNtildeFETHEacuteshyOacute Eacute10wETH9IgraveumlIgravesup1+shyEacuteltEumlETHETH3EacuteshyOacuterIgrave5euml1ONtildeFETH32EacuteltOacute0EacuteltEgravexIcircEacuteshyIacute5IgraveIgrave2shyNtildeshyIacuteEumlOgraveIgraveIcirclaquoEacute10C8ltIgraveIcircd=KEgrave(ETHEacuteltEgraveIcircMJu[P[]NPf[SX H MQsY$KNih H QsY H [timesbn[]ZaringKj H J H MeJiexclJUP[]fcj H QR[]O JjN H QR[]Oaring[SX H MeJNPb H QVUPJbn[]O H []jehOcircXiacute[Ph0Y[]ZOslashJ(JkeNSZOslashKfcJUY$[SX-hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhY^SgJ H jY H N`PJY[]ZaringJT^eJUYZbnhQcK H [PhY(^eJLKEgraveJUO^QsO[aelig[]O H MeJyZOslashJUNPOBSOtimesOslash [Phiexcl[]O H MeJgUiNihQcNPObnJjuFtimesOslash [SXH MeJOtildeJUP[]fUBQcOF[OslashhZJ[]QR[]OwOumlcopytimesOslashaagravejaringEFFG FFH SOtimesOslashKaagravejumlaacute iacute $ w$ thorn yuml Otilde atilde auml WiexclQ H M icirctimesOslashaacute w$ thorn yuml atilde aumlu centtimes Oslash aagravejsup1aacute iacute $ w$ thorn yuml aOtilde SOtimes OslashKaagravejj cent atilde auml^ macr^f^iumlordfcentltshyltAringordfregethIumlIgravecurrenRAringcentmicroETHfrac34IumlltlaquomicroRreglaquoNOacute]currenRlaquosectsup1jCcedilR RAringordfregL Rlaquo3shy JTbdMe[B[]YJ H MeJgXiacute[]fcfR[WQcO[OslashYJ H [SX^eJUYbnhQRK H [PhYaring

uuml thorn UgraveUcircUacuteUuml yuml ^e[BJUYOe[ H ^eJLKEgraveJUO^[]Owagraveuuml thorn timesOslash yuml aacutecntildeaLuOcenttimes Oslash j a zSjWMJLhZJampntildeaOgravejQsYNOslashKEgrave[]YZQ H QVUPJiexclXqjOb H QR[]O[SX$bLfcNPYYograve aj^MQcYiexclUPJUfR[WbLQ H mumlUPJUb H [PhOslashQcYaumlbn[]ZaringKj H JU^centmeumlhZJLKfcNPbLQsO[ H MeJ H JLhZaringYauml[SXga jgWQ H MH MeJUQch$JkBKhJUYZYZQR[]OY^ J hY H JkWKhZJUYZY H MeJ^eJUYZbnhQcK H [Ph|uuml thorn timesOslash yuml NPYyNTbn[]ZTcentQsON H QR[]O[SXamp^e[]ZaringNPQcOY(QcO H J[PhdNPfcYaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacutemiddot thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn timesOslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejjaacutecntildeoacute agrave thorn timesOslash yuml aagravejagrave thorn timesOslash yumlcent aagravejfocirc a i]j

uumlnyacutenthornnyumll13YSordmY_FPa

yenKbrvbarsect =4 acirc $ fzWMJLhZJSaring EFFG FFH agrave thorn timesOslash yuml aagravejpoundaacute w$ thorn yuml aOtildegta2atildeltszligaumlj SOtimes OslashaagravejjUcirccent atilde aumlagrave thorn timesOslash yumlcent aagravejpoundaacute w$ thorn yuml atilde auml a h]j O^ H MBjYaring aelig thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacuteacircaOtildeKa2atildeshyszligaumlFj S timesOslash aagravejjUcirccentaelig thorn timesOslash yumlcent a2atildeshyszligaumlKszligYagravej|aacute f ad s j Y5XiacuteNihaumlNPY H MeJOslash^e[]Z NPQcO`QsO H J[PhNPfsYUacute[SX H MeJOslash^eJLhQVUiN H QVUPJaelig[SX H MJXqjOb H QR[]OY aelig thorn timesOslash yumlaumlNihZJaumlbn[]ObnJLhOeJU^OeFWFJauml[Pcent H NPQsOOaringEFFFG FFFH w5$ thorn yuml frac14ltotildeouml $_divideoslashfrac14 atilde aumlordmaacute frac14ltugrave $frac14 w$ thorn yuml aOtildeKa2atildeshyszligaumlFj SOtimesOslashKaagravejj atilde aumlaacute sw5$ thorn yuml frac14ltotilde ouml $_divideacircfrac14 atilde aumlordmaacute s adfjMJ H JLhZaringY eacute thorn timesOslash yumlauml NPfcY[aringMNUPJ H [ cent=Jaumlbn[]ZaringKj H JU^OeNPO^tWNtildeJg[PJ H aringEFFFG FFFH eacute thorn

timesOslash yuml aacute w$ thorn yuml uacute ouml $_divideacircntilde raquo7ucirc uacute ouml $_divideoslashuacute ouml $_divideacircyacuteuuml atilde aumlaacutecntilde raquo aLu centtimesOslash jeacute thorn timesOslash yumlcent aacute w$ thorn yumlBthorn uacute ouml $_divideoslashthorn uacute ouml $_divideacirc yuml acirc ntilde raquo ucirc uacute ouml $_divideoslashuacute ouml $_divideacirc uuml atilde aumlregaacute u centtimes Oslash ntilde raquo aLu centtimes Oslash j

G QsObnJ H MeJOslash^e[]Z NPQcO`QsO H J[PhNPfsYiexcl[SX frac14ltotildeouml $ordfdivideoslashfrac14 NPO^ frac14ltotildeouml $_divideacircfrac14 NihZJaeligJBjNPf H [currenLJLhZ[poundadfjeWFJOtildebLNPO ^QRhZJUb H fVm bn[]ZOslashKj H J H MeJiexclUPJUfR[WbLQ H mregUPJUb H [Ph[SX H MeJOtildeNPb H QVUPJTbn[]O H []jehuXiacutehZ[]Za macr]jNPO^WNtildeJyO^Oaringaelig Yacuteaagravejaelig agrave aacuteuumlgtthorn timesOslash yuml uumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn otilde)yuml dacute uumlgtthorn otilde)yuml eacutentilde raquo aLu centtimes Oslash jaaOtilde SOtimesOslashj cent u centtimesOslash jcedilQeacute ad j5Otad jeOgraveWFJbLNPOaringhJZaringNihY` H MeJ(KhZJUYJUObnJ[SX H MJNP^^Q H QR[]ONPf H JLhlZntilde raquo aLuOcenttimesOslash jaaOtilde SOtimesOslashj cent u centtimesOslash jeacuteacirc^^ macr^ ^iumlordfcentltshyltAringordfregethIumlIgravecurrenRAringcentmicroETHfrac34IumlltlaquomicroRreglaquoNOacute]currenRlaquosectsup1jpoundn Rlaquo JTbdMe[B[]YJ H MeJgXiacute[]fcfR[WQcO[OslashYJ H [SX^eJUYbnhQRK H [PhYaring uuml thorn UgraveUcircUacuteUuml yuml ^e[BJUYOe[ H ^eJLKEgraveJUO^[]Owagraveuuml thorn timesOslash yuml aacutecntildeaOtilde S timesOslash aagravejj adS]j

uumlnyacutenthornnyumll13YSordmY_FPo

fi $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJampntildeaOgravejQsYNOslashKEgrave[]YZQ H QVUPJiexclXqjOb H QR[]O[SX$bLfcNPYYograve aj^ YKhZJUWQR[]jYZfVmSe H MeJlaquoUPJUfR[WbLQ H mfrac34UPJUb H [PhTQcYbn[]ZOslashKj H JU^eumlcentmhZJLKfsNPbLQcO[ H MJ H JLhZaringY[SXua jcopyWQ H M H MeJUQRh(JkWKhZJUYZYZQc[]OY^FMeJauml^JUYZbnhQRK H [Ph uuml thorn timesOslash yuml QcY(JkWKhZJUYZYJU^centmKaringuuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacutei thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn times Oslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejjaacutentildeoacuteOtilde agrave thorn timesOslash yuml aagravejagrave thorn timesOslash yumlcent aagravejfocirc adj

WMJLhZJSaring EFFG FFH agrave thorn timesOslash yuml aagravejpoundaacute w5$ thorn yuml Otildegta2atildeltszligaumlj atilde aumlagrave thorn timesOslash yumlcent aagravejpoundaacute w5$ thorn yuml atilde auml adSmacr]j O^ Y[aring aelig thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejOcircaacuteegraveOtildegta2atildeltszligaumljaelig thorn timesOslash yumlcent a2atildeshyszligaumlKszligYagravejOcircaacute f adS]jG QsObnJ H MeJordfXiacutejOb H QR[]OY aelig thorn timesOslash yuml NPO^ aelig thorn timesOslash yumlcent ^e[aringO[ H ^eJLKEgraveJUO^[]OtagraveeFWFJTMNUPJSaringEFFFG FFFH w$ thorn yuml frac14ltotilde5ouml $ordfdivideoslashfrac14 atilde aumlregaacute s

w$ thorn yuml frac14ltotilde5ouml $ordfdivideacircfrac14 atilde aumlregaacute s ad]zSjMJ H JLhZaringY eacute thorn timesOslash yumlauml NihZJ H MJUObn[]ZOslashKj H JU^eNPO^WFJauml[Pcent H NPQcOOaringEFFFG FFFH eacute thorn

timesOslash yuml aacute w$ thorn yuml thorn uacute ouml $ordfdivideacircntilde raquo7ucirc Otilde uacute ouml $ordfdivideoslashuacute ouml $ordfdivideacircyacuteuuml atilde aumlaacute thorn iacute $ w$ thorn yuml ntilde raquo aOtilde SOtimesOslashj atilde aumleacute thorn timesOslash yumlcent aacute w$ thorn yuml uacute ouml $ordfdivideoslashthorn uacute ouml $_divideacirc yuml acirc ntilde raquo ucirc Otilde uacute ouml $ordfdivideoslashuacute ouml $ordfdivideacirc uuml atilde aumlordmaacute ugrave $iacute $ w$ thorn yuml ntilde raquo aOtilde SOtimesOslashj atilde auml JUacutebLNPO H MeJUObn[]ZOslashKj H JUacute^QRhZJUb H fm H MJ_UPJUfR[WbLQ H mUPJUb H [Ph[SX H MeJUacuteNPb H QVUPJOtildebn[]O H []jhXiacutehZ[]Zigravea macr]j(NPO^WNtildeJyO^Oaringaelig Yacuteaagravejaelig agrave aacuteuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yumldacute uuml thorn otilde)yuml eacute aOtilde SOtimesOslashjicircFtimesOslash $ thorn yuml ntilderaquo)aOtilde SOtimesOslashjmiddotQeacute adSi]j

5O H MeJtimesKNih H QsbLjfcNihiexclbLNPYZJIacute[SXIcircntildeaOgravejuaacuteOslashScenteKWFJtimesMNUPJnntilde raquo aOgravejcopyaacute NPO^ H MeJLhZJXiacute[PhZJSeH MeJiexclNP^^Q H QR[]ONPf H JLhlZaringYebn[]ZaringQcO[gXiacutehZ[]Z H MeJ UiNihQcN H QR[]O [SX H MeJiexcl^eJUYbnhQRK H [PhYOcircWQ H MagraveeNihJJjNPf H [gcurrenLJLhZ[^[WNtildeJUPJLheWQsOordmZOslash[]Y H bLNPYZJUYe H MQsYyNP^^Q H Qc[]ONPf H JLhlZoslashQsYyOe[ H

uumlnyacutenthornnyumll13YSordmY_FPy

yenKbrvbarsect =4 acirc $ fhcurrenLJLhZ[^ not [PhaeligJkeNSZOslashKfRJSeampQVXUgraventildea]jaacute yuml Wiexcl cent eshyWiexclQ H MN`KEgrave[]YZQ H QVUPJ bn[]OY H NPO H eQWFJMNUPJSaring

ccedil aacuteFuumlgtthorn timesOslash yuml uumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn otilde)yuml uumlgtthorn otilde)yuml eacute aOtilde SOtimesOslashjicircFtimesOslash $ thorn yuml aOtilde SOtimesOslashj IcircAumlaOtilde SOtimesOslashj cent adSh]j^ ^~IacuteFEumlIgraveFIacute5IgraveFOacuteETHNtildeFETHEacuteshyOacuteAgraven13ETH9 ETH9IgraveumlEumlIgravesup1+ltIgraveFEumltIcircIgraveFETHbIacute5IgraveFETH9shyEacute18 YXqNih0NPY H MeJOBjFZOslashJLhdQcbLNPfeQZOslashKfcJZOslashJUO H N H Qc[]OtimesQsYybn[]ObnJLhOeJU^eSWNtildeJbLNPOZOslash[W^eJUf H MeJNPb H QVUPJaumlbn[]O H []jeh_WQ H MNPOJkBK-fcQcbLQ H KNihNSZOslashJ H JLhdQVcurrenUN H QR[]ObaN[PhNPO[]QcNPOXiacute[PhlZtimesjfcN~VH QR[]OKjaelig[Ph NPO QCZOslashKfcQcbLQ H []OeJraNtildejfRJLhQsNPO Xiacute[PhlZIacutejfcN H QR[]Ogtj^ G JLJra G J H MQcNPOOe5fhSh s jNPO^egraveaJUfcQcO[PJ HH J NPO^ _a[]O H N[]ON H e sSs fjX[PhaeligNPOQcO H JLhZJUY H QcO[eumlbn[]ZOslashKNihdQcY[]OcentEgraveJ H WFJLJUO H MeJ H WNtilde[ZOslashJ H M[B^Y^ iexclO[ H MeJLhOtildeQcO H JLhJUY H QcO[aringhJUBQRJW[]O H MeJtimes^Q=JLhJUO HZOslashJ H M[B^Y[SX$NPb H QVUPJIacutebn[]O H []jehQcY(Kh[PK=[]YZJU^ QcOpoundaw_[]O H N[]ON H J H NPfd^Ve sSs fj^iexclJLhZJSeWFJaumljYJ H MeJaumlfRJUPJUfYZJ H ZOslashJ H Me[W^ NiKKhZ[]NPbdM KhZ[PKEgrave[]YJU^centm q YMeJLhNPO^G J H MQcNPOa q YZMJLh NPO^ G J H MQcNPOe fhSiSi]j centj H hJ[]QR[]OWVcentNPYJU^ NPb H QVUPJeumlbn[]O H []jehdYZaringNmNPfcYZ[ centEgraveJQZOslashKfcJZOslashJUO H JU^7centmjYQcO[`XNtildeV4YK-fcQcOeJUYXiacute[PhaeligNPOJkWKfcQsbLQ H K-NihNSZOslashJnVH JLhQcurrenUN H QR[]O ayhZJUbLQc[]Y[ NPO^XNihfcNPj^Oe sSs fj^shyMJ`PJmeumlQc^eJUN [SX H MeJOslashfRJUPJUfampYJ HZOslashJ H M[B^QsY H [ QcO H hZ[W^jbnJaumlNPO`NPjkWQsfcQcNihYmXiacutejOb H QR[]O l a2atildeltszligaumlgtszligYagravejYZjbdM H MN H YacuteaagravejQcY H MJtcurrenLJLhZ[OacutefRJUPJUfYJ H [SX l ^OcircMJXiacutejOb H QR[]O l QsYaelig[SX H JUO bMe[]YJUO H [centEgraveJ H MeJYZQ[]OeJU^ ^QcY H NPObnJordfXiacutejOb H QR[]O[SXQYacuteaagraveje-NPO^ QsY H MeJUObdMNihNPb H JLhQVcurrenLJU^acentmKaring

YacuteaagravejOcircaacute a2atildeltszligaumljPO l a2atildeshyszligaumlKszligYagravejaacute s a2 s jMQcYOcirc0jfRJLhQcNPOordmXiacute[PhlZtimesjfcN H QR[]O KhZJUYZJUO H YFYJUPJLhNPfEgraveNP^UiNPO H N[PJUYga G J H MQcNPOOeKfhShS]j^not QRhY H fVmSe H MeJabLjehYUPJ l ZaringNmcenthJUN`[PhoZOslashJLhY[PJNPY H MJXiacutejOb H QR[]O l JUP[]fUPJUYeNPO^ H [PK=[]fc[S[]QcbLNPfbdMNPO[PJUYFNihZJ H MBjY$JUNPYZQsfVmOslashMNPO^fRJU^^ G JUbn[]O^fVmSe H MJJUP[]fVUWQcO[XqjOb H QR[]O l a2atildeshyszligaumlKszligYagravejNPfVWNmWY(hZJZaringNPQcOY(NlaquoXiacutejOb H QR[]O NPfcfR[WQcO[timesJltz bLQRJUO H OBjFZOslashJLhVQcbLNPfFYZbdMeJZOslashJUY^OcircMQRh^fVmSe H MeJ[PJL[]ZOslashJ H hQcb KhZ[PKEgraveJLh H QcJUYT[SX H MeJ bLjehYUPJSe$fcQV`PJ H MeJbLjehlU~N H jehJ NPO^ H MeJOslashOe[PhlZ NPfshyUPJUb H [PhordfJUfs^eacute e=bLNPO centEgraveJIacuteJUY H QZaringN H JU^euml^QRhZJUb H fmXiacutehZ[]Z H MeJTfcJUPJUfgYJ H XqjOb H QR[]Oaring aacute V ucirc l l uuml NPO^ eacuteecircaacute l l a2FfjMJJUP[]fsj H QR[]O JBjN H QR[]O H MeJUO centEgraveJUbn[]ZOslashJUYaringaelig l aagravejaelig agrave aacuteegraveccedilacute l a2 jMJregUPJUfR[WbLQ H msup1XiacutejOb H QR[]OxccedilEQcYIacutebn[]ZaringKj H JU^7[]OfVm[]O H MeJbLjehYUPJYacuteaagravejaumlcent-j H WFJbLNPO Jk H JUO^ Q H YFJkBKhZJUYZYZQR[]O H [ H MeJiexclWMe[]fRJUacuteQZaringN[PJOtilde^e[]Z NPQcOoOumlordf^[OslashQZOslashKfRJZaringJUO HH MeJIacutefRJUPJUf9YJ H ZOslashJ H Me[W^OeY[]fsj H QR[]OYuZtimesjY H centEgraveJgXiacute[]jO^ H [ bLQRhbLjZyUPJUO H Kh[PcentfRJZaringY

uumlnyacutenthornnyumll13YSordmY_FP

s $amp)(+-)013021+345627893lt=gt9A6CBbn[]ZaringQsO[ Xh[]Z H MeJpoundXqNPb HH MN H`H MeJYZQV[]OeJU^ ^QcY H NPObnJumlXqjOb H Qc[]O l QcYaOe[ H NY[]fsj H QR[]O[SX H MeJyiexcl a2 jeEgraveYJLJa []ZOslashJUYNPO^ not NPjF[PJLhNPYe sSsSs jyacuteXiacute[Phiexcl^J H NPQcfcY^5Oaelig[]jehWF[PhY`gte H MJuXiacutejOb H QR[]O l QcYamphZJUQsOQ H QcNPfcQcurrenLJU^TY[ H MN H Q H hZJZaringNPQcOYampNOtilde^QsY H NPObnJXqjOb H QR[]OenYZJLJ5aq jecentEgraveJLh H NPO^gcOtilde[PhdOeKhZ[PcentY H e sSs fJLcenthZJUjFUPJSe sSsSs jOXiacute[Ph^J H NPQcfcY[]O H MJOtildehZJUQcOQ H QsNPfcQVcurrenUN H QR[]O JBjN H QR[]OO^5Oeuml[Ph^eJLh H [QCZOslashKhZ[UPJaringOjFZaringJLhQcbLNPfJltz bLQRJUObmSeOWFJaringbn[]ZOslashKj H J H MeJOslashJjN H QR[]O[]O NIacuteONihhZ[Wcent-NPO^aringJUObLfc[]YZQcO[ H MJiexclfRJUPJUf s [SX H MeJUacutefRJUPJUf-YJ H XqjOb H Qc[]OO^ JUacuteNPfcY[jYZJZtimesjf H QRhZJUYZ[]fcj H QR[]O H JUbdMOQBjeJUYcentmZaringN`BQsO[ H MeJFNPb H QVUPJ(bn[]O H []jh$JUP[]fVUPJcopyhY H[]ONOslashfc[W hZJUYZ[]fcj H QR[]O QZ N[PJS^FMeJordfONPfbn[]O H []jeh[Pcent H NPQcOeJU^Xiacute[Ph H MQcYhJU^jbnJU^QZ N[PJaumlQcY H MeJUOjYJU^ NPYNPOQsOQ H QcNPfEgravebLjehYUPJordfXiacute[Ph H MJOtildehZJUNPfgYZQVcurrenLJaumlQCZaringN[PJS^

EparaacuteAgravegtmicrosup1acuteIKJcedilJT2MgtI MraquowMgtmicrosup1MAgravegtacuteIltacuteMgtPltAtilde iquest acuteAgravegtT2MKIshyAtildeAcirccedilAtildeacuteNicircMgtI cedilAEligMgtmicroOcircacuteOgraveJTCJT13MKI sup2OcircacuteJordfsacuteacuteI Jfrac14ltacutegcedilFLT2cedilIshyROgraveacuteAtilderaquoAMLBqoLacute13AtildeR]cedilsup32acute GmicrobcedilAgraveacuteAtilde5O H MQcYUacuteYJUb H QR[]OOeOWFJOslashKhZ[PKEgrave[]YJaeligY[]ZOslashJOslashhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhY H [YJ[iVZOslashJUO H M[]ZOslash[S[PJUOeJL[]jYiexclhZJ[]QR[]OYiexcl[]Ofrac34[PhZJmBYbLNPfRJIacuteQZ N[PJUY^gtMJUYJIacute^eJUYbnhQRK H [PhYiexclNihZJcentNPYZJU^[]O H MJZaringQcOQZaringQVcurrenUN H QR[]O [SX H MeJU~NihdQcNPObnJUYauml[SX H MJ H WF[`bn[]OYZQc^eJLhZJU^OacutehZJnV[]QR[]OY^ 5O H MJ7YJUbn[]O^ K-Nih H e H MJQZOslashKEgrave[Ph H NPObnJOacute[SX H MeJNP^^Q H QR[]ONPf H JLhZaringYebn[]ZaringQsO[XiacutehZ[]Z H MeJiexclU~NihdQcN H QR[]O [SX H MeJUacute^eJUYZbnhQcK H [PhYWQ H M H MeJiexclJUP[]fUBQcOF[IacutehZJ[]Qc[]OYeQcY9MQV[]MfcQ[]M H JU^O^ G QCZOslashKfRJJkWNSZaringKfRJUY9YMe[W H MeJ0QZOslashKEgrave[Ph H NPObnJ$[SX H MeJUYJ0NP^^Q H QR[]ONPfH JLhlZ Y H [ NPbMQRJUPJ H MeJOtildeJkWKEgraveJUb H JU^aYJ[]ZaringJUO H N H QR[]O^^f^laquoIgraveIcirc=KEgrave(FETHOEacuteltEgraveIcircEcircgtNtildeltIcircIgrave8 EacuteshyOacute ETH9Igravek+NtildeshyEgrave13NtildeshyOacute=KIgraveC0EacuteshyEgraveh4ltEgraveOIgravesup1QIcirc=NtildeltEumlOgraveIgrave2Iacute Ntilde4ltIgraveIcircMJQcO H JUOYZQ H mregXiacute[Phu[PhZJmWYZbLNPfRJaumlQZ N[PJUY(QcYhZJLKhZJUYZJUO H JU^centm NlaquoXqjOb H QR[]OOtilderegaringOgraveOumlOtilde 13ordfcentwntilde Otilde 13laquo^ JaKhZ[PKEgrave[]YJ H [bZaringQcOQZaringQVcurrenLJ H MeJU~NihdQcNPObnJUYOslash[SX H MeJ H WF[bn[]OYZQc^WVJLhZJU^ Me[]Zaring[S[PJUOeJL[]jY hZJ[]Qc[]OY QcO [Ph^eJLh H [YJ[]ZOslashJUO H H MeJZ^uMJXiacute[]fcfR[WQcO[^eJUYbnhQRK H [PhY(NihJaumlYZj[S[PJUY H JU^OaringEFG FH uuml thorn UgraveUacuteUuml yuml aacutecntildeaLuOcentUgraveUacuteUuml juuml thorn times Oslash yuml aacutecntildeaLuOcenttimes Oslash juuml thorn otilde)yuml aacutecb a2Ograve]jWMJLhZJjntildea]jQcYNOslashKEgrave[]YZQ H QVUPJordfXiacutejOb H QR[]O [SX$bLfcNPYZYEacuteograve aOtilde 13yj(NPO^kb`NOslashKEgrave[]YZQ H QUPJaumlbn[]OWVY H NPO H ^MJTbn[]ZOslashKj H N H Qc[]O[SX H MeJUPJUfR[BbLQ H mUPJUb H [PhaumlQcY^JU^jbnJU^tXiacutehZ[]Z H MeJIacutebn[]ZOslashK-j H N~VH QR[]O`[SX H MeJaelig^eJLhQVUiN H QVUPJIacute[SX H MeJtimesbnhdQ H JLhQR[]Opoundocirc7^eJUPJUfR[PKEgraveJU^ QcO G JUb^^ macr^feWMQsbMfRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[aeligJUP[]fcj H Qc[]O JjN H QR[]OOaringaelig Yacuteaagravejaelig agrave aacuteethntildeaLu centtimesOslash j ntildeaLu centUgraveUcircUacuteUuml jb ntilderaquo)aLu centtimesOslash jaaOtilde S timesOslash j cent u centtimesOslash j ntilde raquo aLu centUgraveUcircUacuteUuml jaaOtilde SUgraveUcircUacuteUumlj cent u centUgraveUacuteUuml jIcirc13eacute a2Sj

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ fMJiexclYZQcOF[]fRJiexclK-NihNSZOslashJ H JLhcopyWNtildeJOtildeOeJLJU^ H [aringNP^~ZjY H QcY H MeJUacuteYYZOslash[B[ H MQcO[timesKNihNSZOslashJ H JLhb^5OregXqNPb H e H MeJ X [W ethb MNPY H MeJiexclKhZ[PKEgraveJLh H QRJUYNtilde[SXYYZOslash[B[ H MQcOF[IacutecentEgraveJUbLNPjYJOtildeQ H ZOslash[UPJUYH MeJUacutebLjehYUPJUacuteQcO H MeJUacute^QRhZJUb H QR[]O [SX9Q H YfRJUOF[ H MregXqjOb H QR[]ONPfQa G Qs^^QBQeJ H NPfd^VeOfhShS]j^^ ^~IacuteEacuteltEgraveETHOgraveNtildeltOacute=KIgravefrac34Eacute10frac34ETH9Igrave Ntilde8182ETHEacuteshyOacuteNtildeshyEumlETHIgraveFEgraveOIacute5Icirc5O[Ph^JLh H [7JU~NPfcjN H J H MeJ QZOslashKEgrave[Ph H NPObnJ`[SX H MeJ`NP^^Q H QR[]ONPf H JLhlZaringYX[Ph H MeJYJ[]ZaringJUO H N H QR[]OeuWNtildeJpoundZaringN`PJ H MJeumlNPb H QUPJbn[]O H []jehaJUP[]fVUPJ H MehZ[]j[]M H MJ iexcla2SjeQsObLfcj^QsO[ H MeJaumlNP^^Q H QR[]ONPf H JLhlZaringY^ q O H MeJUacute[ H MeJLhMNPO^OeWNtildeJaumlNPfcYZ[ZaringN`PJQ H JUP[]fUPJfrac34WQ H M H MeJwXiacute[]fcfR[WQcO[ WhZ[]OF[JUP[]fcj H QR[]OJjN H Qc[]O H MN H ^e[JUY Oe[ HQcObLfcj^eJ H MeJaumlNP^^Q H QR[]ONPf H JLhlZaringYaringaelig Yacuteaagravejaelig agrave aacuteethntildeaLu centtimesOslash j ntildeaLu centUgraveUcircUacuteUuml j`b Qeacute iuml a2Ogravemacr]jnot [Ph H MeJOtildeJkWKEgraveJLhQZOslashJUO H YeWFJ H N`PJntildeaOgravejOcircaacute ILK KafcediliexclOgravejWMQsbM[]QVUPJUYntilde raquo aOgravejaacutefdOafcedil]j(NPO^ H MeJgUiNPfcjeJOtilde[SX H MeJaumlKNihdNSZOslashJ H JLhEacutebaQcY(YJ HH [frac34f s ^OcirckBKEgraveJLhQCZOslashJUO H Y NihZJ KEgraveJLhYX[PhZOslashJU^ []O NYmWO H MJ H Qcb`QCZaringN[PJumlZaringNP^eJeumljeK [SXTNPO

Me[]Zaring[S[PJUOeJL[]jYYYBjNihZJ[SX9QcO H JUOYZQ H mwf s []O NIacutecentNPbl`[PhZ[]jO^ [SX9QcO H JUOYZQ H mtf s ^ []NPjYZYZQsNPOOe[]QcYJUacute[SXUiNihQcNPObnJ s QcY(NP^^eJU^ H [ H MQcY(YmWO H MJ H QcbOtildeQZaringN[PJS^MeJOtildeJUP[]fcj H QR[]Oa[SX H MeJTNPb H QVUPJtimesbn[]O H []jehUacute^ehQUPJUOcentmpounda2SjQcYu[]QVUPJUO`QcO not QV[^ WMQcfRJ H MeJ[]OeJ`[Pcent H NPQcOeJU^ jYZQcO[ a2Ogravemacr]j QcYordm[]QUPJUO QcO not QV[^ ^ J bLNPO hZJZaringNihY`H MN H WMeJUO H MeJoiexclQsObLfcj^eJUY H MJ NP^^Q H QR[]ONPf H JLhZaringYe H MJ YYBjNihZJ QcYgWFJUfcfYJ[]ZaringJUO H JU^acirca not QV[^ ^bjeuWMeJLhJUNPYWiexclMeJUO H MeJ |iexclD^e[BJUY Oe[ H QsObLfcj^eJ H MeJUYJNP^^Q H QR[]ONPf H JLhZaringYwWFJ7[Pcent H NPQcO N bLQRhbLfcJOacuteQcOY H JUNP^ [SX H MeJ7JkBKEgraveJUb H JU^YYBjNihZJa not QV[^ ^bj^MeJUYJhZJUYZjf H YNtildebLNPOcentEgraveJcentEgraveJ HH JLh(jO^eJLhY H [[W^WMQcfRJNPONPfmcurrenUQcOF[ H MeJiexclUPJUfR[WbLQ H mUPJUb H [PhYUacute[SXNtildeJUNPbMJUP[]fsj H QR[]O JjN H QR[]OO^ Jaringbn[]ZOslashKNihZJ H MeJ H WF[ JUP[]fcj H QR[]OYiexcl[SXH MeJlaquoUPJUfR[WbLQ H mwUPJUb H [PhYauml^jehQcO[ H MeJaeligKhZ[PKN[]N H Qc[]Oeuml[SX H MeJOslashbLjehYUPJwa2WiexclQ H Me[]j HH MeJcentEgrave[]jO^NihYmVcent-NPYJU^ H JLhlZb j^MeJ(JUP[]fcj H Qc[]OOslash[SX H MeJNSZOslashKfsQ H j^eJ[SX H MeJyacuteUPJUfR[Wb|VQ H mregUPJUb H [Ph[SXQ|iexcla2SjFQsY[]QUPJUO QcO not Q[aqYj^ ^ ^OecurrenJSe Xfrac34]eWMQsfRJ H MeJOtildeNSZOslashK-fcQ H j^eJ[SX H MeJUPJUfR[WbLQ H mwUPJUb H [PhOtilde[SX||iexclacirca2Ogravemacr]jiexclQcY []QUPJUO`QcO not QV[aqYj^ ^ ^OecurrenJSe Xfrac34]^ JOslashbLNPO[PcentYZJLhYUPJ H MN HaringH MeJUPJUfc[BbLQ H msup1WiexclQ H Me[]j HaeligH MeJNP^^Q H QR[]ONPf H JLhlZaringY QcYaeligNbn[]OY H NPO HWMJLhZJ [PcentUWQR[]jYfVm H MJaQZaringN[PJfrac34XJUN H jehJUY ^e[OacuteO[ H NiKKEgraveJUNih^ q O H MeJabn[]O H hNihYmH MeJaumlQCZaringN[PJordfXJUN H jhZJUYuWFJUfcfNiKKEgraveJUNihQcO H MeJordfUPJUfR[WbLQ H m QcObLfcj^QcOF[ H MeJaumlNP^^Q H QR[]ONPfH JLhlZ Yya not QV[aqYj^ ^ ^OecurrenJSe Xfrac34jiexclNPO^ Y[ H MeJaumlYljNihJTbLNPO centEgraveJordfWNtildeJUfsfYJ[]ZOslashJUO H JU^O^MeJyKhZJUWQR[]jYEgravehJUYZjf H YgYMe[W H MN H Q H QcY[SXeKhQCZOslashJ$OeJUbnJUYZYZQ H m H [ H N`PJQcO H [NPb|Vbn[]jO H0H MJNP^^Q H QR[]ONPf H JLhZaringYeWbn[]ZaringQcO[XhZ[]Z hZJ[]QR[]OeV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhYeQcO[Phd^eJLh H [ hZJUNPbdMaN H hdjeJgZaringQcOQCZIacutejFZ [SX H MeJaumlbnhQ H JLhdQR[]OO^

uumlnyacutenthornnyumll13YSordmY_F

S $amp)(+-)013021+345627893lt=gt9A6CBEIumlparaacuteAgravegtmicrosup1acuteIKJcedilJT2MgtI MraquoordfAEligMgtsup32MLwMKmicrobMgtAgraveacuteIshyacuteMgtPltAtilde iquest acuteAgraveKT13MKIshyAtildeAcirclaquocedilFAtildeacuteNicircMKIJfrac14ltacutepoundAEligMAringcedilFLT2cedilIltR]acuteHcedilJLTOcircfrac12sup3T13ROgravecedilJT2MgtI JMAgraverltcedilFR]acuteacuteJacuteR]JT2MgtIicircT2ItT2NQacuteM paraacutePshyacuteIltR]acuteAtildeMQcY0K-Nih H ^eJUNPfcYWQ H M H MeJOtildeYJ[]ZOslashJUO H N H QR[]O [SXMe[]ZOslash[S[PJUOeJL[]jY(hZJ[]QR[]OYQcOZtimesjfuVH QcYZK=JUb H hdNPfQZaringN[PJUY^ YNPOaJkWNSZaringKfRJSeWFJIacuteYZMe[W H MN HiexclH MeJTbn[UiNihQcNPObnJZaringN H hQVkbLNPOacent=JIacuteNUPJLhYm KEgrave[WFJLhYXqjf H [B[]f H [ YJ[]ZOslashJUO H Me[]Zaring[S[PJUOeJL[]jYbn[]fR[PhiexclhJ[]QR[]OY^F5OXqNPb H e H MeJtimes^eJ H JLhlZaringQsONPO H [SX H MeJTbn[U~NihQsNPObnJZ N H hQkKhZ[UPJUY H [ centEgraveJIacuteNaringhJUfRJU~NPO Hbn[]fR[PhaelighZJ[]Qc[]O7M[]ZOslash[S[PJUOeJUQ H msup1ZOslashJUNPYZjhZJZOslashJUO H a G NPO[SWQcOeJ NPO^r[PhdOeJSeufhShSi]j^_`QcOQZ QVcurrenUQcO[ H MQcYjNPO H Q H m ZOslashJUNPOY H MN H WFJwWNPO HH [^eJUbnhZJUNPYJ H MeJeumlbn[]ZaeligVKfcJkWQ H m[SXUacuteNeumlhZJ[]QR[]Oa hdNmJ H NPfd^Ve sSs fampN H JUjke sSsSs j^MQcY H [B[]fuZaringNmKhdNPb H QcbLNPfcfVm cent=JaumljYJU^X[Ph XiacuteNPbnJtimes^eJ H JUb H QR[]OaQsO QZaringN[PJaumlYJBjeJUObnJUY^macr^f^laquoIgraveIcirc=KEgrave(FETHOEacuteltEgraveIcircEcircgtNtildeltIcircIgrave8 EacuteshyOacute ETH9IgraveAgrave=Eacute3+NtildeshyEgrave13NtildeshyOacute=KIgravefrac34Iacute_NtildeFETHEgraveEcirc20EacuteshyEgrave=EacuteshyEumlEacuteshyEgrave2Iacute Ntilde4ltIgraveIcircMJQcO H JUOYZQ H mxXiacute[Ph bn[]fR[Ph QCZaringN[PJUYaringQcYOslashhJLKhZJUYJUO H JU^centm7NpoundXiacutejOb H QR[]OOtildeegravearingOumlOtilde 13ordfcent ntilde Otilde 13 WMeJLhZJ Otilde aacute Otilde szligYOtildeOgravecentszligYOtilde13ordf ^iexclXm NPONPfR[S[SmAumlWQ H M H MeJOacuteY H j^Fm Xiacute[Ph[PhZJmWYZbLNPfRJFQZaringN[PJUYeWNtildeJZaringQcOQCZaringQVcurrenLJ H MeJNtilde^J H JLhlZaringQcONPO H [SX H MeJFbn[UiNihQcNPObnJcopyZaringN H hQVk[SX H MeJTbn[]OYQc^eJLhZJU^hZJ[]Qc[]OY^ J5ZaringNmaringNPYYZjFZOslashJ H MN H JUNPbdM bn[]fR[PhFhZJ[]QR[]Oacute13 QsYOcircZOslash[W^eJUfcfRJU^OslashcentmOslashNg[]NPjYYZQcNPO^QsY H hQRcentj H QR[]Oeuml[SXyacuteZOslashJUNPOiexclSegraveaacute S szligPS cent szligPS NPO^7bn[UiNihQcNPObnJZ N H hQk5^MeJKh[PcentNicentQcfcQ H maring^eJUOYQ H moXiacutejOb H QR[]O QcYu[]QUPJUO centm H MeJgXiacute[]fcfR[WQcO[aeligJkWKhZJUYZYQR[]OOaring

$ampamp aOtildejOcircaacute fa )( j +cent aq^J H ayacutejj cent JkWK- f aOtilde Sltj thorn aOtilde Sltj a2Ograve]jG [eZaringQcOQZaringQVcurrenUQcOF[ H MJbn[U~NihdQcNPObnJuZaringN H hQktimes^eJ H JLhlZaringQcONPO H [SX-NPOtimesJUP[]fVUWQcO[hJ[]QR[]ONiKKEgraveJUNihY H [OslashcentEgraveJNtimeshZJUfcJU~NPO HH [[]f H [ordmZaringN`PJ H MQcYFhZJ[]Qc[]O bn[]OUPJLhY[PJ H [WFNih^Y H MeJbLfR[]YZJUY H Me[]ZOslash[S[PJUOeJL[]jYbn[]fR[PhiexclhZJ[]QR[]OO^9J H jY$Oe[ H J timesOslash NPO^0copyUgraveUcircUacuteUuml H MJbn[UiNihQcNPObnJ5ZaringN H hQcbnJUYy[SX=hJUYKEgraveJUb H QVUPJUfVmordmOuml timesOslash aagravejNPO^tOuml UgraveUacuteUuml aagravejaring

atilde aacute213 u Patilde u centatilde u atildeu cent atilde u centcentatilde u cent4atildeu5 atilde u5centatilde u54atilde67 a2zSj

WMJLhZJSaringEFFG FFH u times aumlatilde aacute iacutefaring w aring thorn yuml aOtilde times S times atilde jaOtilde auml S auml atilde j atilde aumlS times atilde aacute iacutefaring w aring thorn yuml Otilde times a2atildeltszligaumlj atilde auml WQ H M aacuteiVIgraveOacute[Ph Kf5

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ J [PcentUWQR[]jYZfm`MNUPJacuteu times aumlatilde aacuteu auml timesatilde ^shy9J H jYaumlO[ H J ^eJ H a atilde j H MJ ^eJ H JLhlZaringQsONPO H [SXH MeJaumlbn[U~NihdQcNPObnJZ N H hQkWiexclMQcbMJkBKhJUYZYZQR[]O QcY H MJgX[]fsfR[WQsO[aring

^eJ H a atilde jumlaacute u Patilde u centcentatilde u 4atilde u centatilde u atilde u cent4atilde u Patilde u cent4atilde u cent4atilde u centcentatilde u atilde u atilde u 4atilde u centatilde u centatilde a2Ogravei]jnot jOb H QR[]OY [SX H MeJeumlbn[UiNihQcNPObnJpoundZaringN H hQk ^eJ H JLhZaringQcONPO H YNihZJ jYJU^ NPY hJ[]QR[]O^eJUYbnhQRK H [PhY^ JIacutebMe[B[]YJ H MJordfX[]fcfc[WQcOF[aeligYZJ H [SX$^eJUYZbnhQRK H [PhYaringEFG FH uuml thorn UgraveUcircUacuteUuml yuml aacute98ordfaq^eJ H acopyUgraveUcircUacuteUumlAjjuuml thorn timesOslash yuml aacute98ordfaq^eJ H a timesOslash jjuuml thorn otilde)yuml aacuteOslashb a2Ograveh]jWMJLhZJ8ordfaOgravejFQcYNOslashKEgrave[]YZQ H QVUPJiexclXiacutejOb H QR[]O [SXampbLfcNPYZYograve aOtilde 13yjFNPO^Cb`NOslashKEgrave[]YZQ H QVUPJOtildebn[]OWVY H NPO H ^gJ H jYNtildeOe[W WhQ H J H MeJJUP[]fcj H Qc[]OaringJBjN H QR[]O [SX H MeJiexclNPb H QUPJbn[]O H []jehcentmbn[]ZOslashK-j H QcO[ H MJIacute^QEgraveJLhZJUO HH JLhlZaringYiexcl[SX_a j^J H NPQcfcYiexcl[SX H MeJIacutebn[]ZaringKj H N H QR[]O bLNPOcentEgraveJgXiacute[]jO^QsOaNiKKEgraveJUO^QVk X5^gtMJaumlJUP[]fcj H QR[]O`JBjN H QR[]O[SX H MJIacuteNPb H QVUPJaeligbn[]O H []jhQcY H MJgX[]fsfR[WQsO[aringaelig Yacuteaagravejaelig agrave aacute8gaq^eJ H atimesOslashjj 8ordfaq^eJ H a UgraveUcircUacuteUuml jj`b admacr s jlt8Icircraquodaq^eJ H a times Oslash jgt= ccedil A B egrave aOtilde S timesOslash jaOtilde B5 S BtimesOslash jB^eJ H aDC EBtimesOslash ja fj BGFH amp^eJ H atimesOslashj48 raquo aq^eJ H atimesOslashjj 8Icircraquodaq^eJ H a UgraveUacuteUuml jgt= ccedil I B egrave aOtilde Eacute S UgraveUcircUacuteUuml jaOtilde B S BUgraveUcircUacuteUuml jB^eJ H aDC JBUgraveUacuteUuml ja fj BKFH amp^eJ H a UgraveUcircUacuteUuml j48 raquo aq^eJ H a UgraveUcircUacuteUuml jjcedil13eacuteMJZaringN H hdQkLC JBatilde QsY ^JU^jbnJU^icircXh[]Z H MJeumlbn[U~NihdQcNPObnJbZaringN H hdQkM atilde centm YZjeKeVKhJUYZYZQcO[ H MeJ uuml UumlON hZ[WENPO^ H MeJ I UumlON bn[]fcjFZaringO^MeJeumlfcNPY H Xiacute[]jeh fsQcOeJUY [SX H MeJJBjN H QR[]ONihZJ H MeJOtildeNP^^Q H QR[]ONPf H JLhZaringY(bn[]ZaringQcO[XiacutehZ[]Z H MeJiexclU~NihQsN H QR[]O [SX H MeJOtilde^eJnVYZbnhdQRK H [PhYWiexclQ H Mordmagrave^ Y0Q H MNPYycentEgraveJLJUOOslashKhJUBQR[]jYZfVmTKhZ[UPJU^X[Ph[PhZJmWYZbLNPfRJiexclQCZaringN[PJUYeH MeJUYZJ H JLhlZaringYMNUPJ H [ cent=Jaumlbn[]OYZQc^eJLhZJU^ QsO[Ph^eJLh H [regZ N`PJ H MeJTNPb H QUPJTbn[]O H []jhbn[]OUPJLhY[PJ H [WFNihd^YNZ QcOQZtimesjFZ [SX H MJTbnhQ H JLhQc[]OO^macr^ ^~THORNUgrave2FIgraveFEgrave2Iacute_IgraveFOacuteshyETHOgraveNtildeshyEumlEgraveOIgraveIcircdEumlETHOIcircnot [Ph H MJ JkWKEgraveJLhQZOslashJUO H YeQWNtildeJ H N`PJCntildea]jordmaacute ILK Kaf[]jgWMQsbMsup1[]QVUPJUYnntilde raquo aOgravejaacutefdOafWOgravej(NPO^8ordfaOgravejaacute ILK KafIcirch cent juWMQcbdMt[]QVUPJUY8 raquo aOgravejaacute ETHOafIcirch cent j^ JbdMe[[]YZJ bbaacute f s ^QMeJaringbn[]fR[PhtimesYKNPbnJ YJUfcJUb H JU^QcYaQPszlig l szligicirclaquojeltWMeJLhZJwaOtilde aacuteRPordmjhZJLKhZJUYJUO H Y H MeJfsjFZaringQcONPObnJNPO^waOtildeOgravecent5aacute l j$NPO^frac34aOtildeS aacuteOslashicircj$hZJLKhZJUYJUO HyH MeJ H WF[bdMehZ[]ZaringQcONPObnJUY^ not [Ph H MeJbn[]ZaringKj H N H QR[]OOslash[SX H MeJuUiNihQcNPObnJSei[]Ofm H MeJfcjZaringQcONPObnJQcY(jYJU^O^

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CB5Oaring[Phd^eJLh H [aeligYJ[]ZOslashJUO H NPO Me[]ZOslash[S[PJUOJL[]jY0hJ[]QR[]OOeOgraveWFJiexclY H Nih H WQ H M NPO QcOQ H QcNPf

bLjehlUPJ0QcOYZQs^eJ H MJ0hZJ[]QR[]Oauml[SXWQsO H JLhZJUY H ^MeJybLjhYUPJ0QcY H MJUOTYZjeKK=[]YZJU^ H [JkWKNPO^jO H Qcf(Q H hJUNPbMeJUY H MeJ centEgrave[]jO^NihlmOacute[SX H MeJabn[]ObnJLhdOeJU^ Me[]Zaring[S[PJUOeJL[]jYaringhJ[]QR[]OO^MJtimesbLjehlUPJtimes^e[BJUYUacuteOe[ H [P[cent=JmP[]O^ H MJUYJaeligcent=[]jO^NihQRJUYiexclYZQcObnJSe=[UPJLh H MeJLhZJSe H MeJbnhQ H JLhQR[]OOacuteQsObnhZJUNPYJUYtimescentEgraveJUbLNPjYJ H MeJU~NihdQcNPObnJOcircu centtimesOslash [Ph H MeJ bn[U~NihdQcNPObnJtZaringN H hQVk^eJ H JLhZaringQcONPO H ^eJ H atimesOslashjUcirccentOtildeQsObnhZJUNPYJS^MeJaringNPfV[P[PhQ H MZEcentNPYJU^[]O H MeJ bn[UiNihQcNPObnJZaringN H hQVkeumlQcYaumlK=JLhlX[PhlZaringJU^euml[]ONPOQZ N[PJ [SX H MeJUBQs^eJL[`YJBjeJUObnJrnN`WQVmP[]peumlQcO[Ph^JLh H [euml^eJ H JUb HaeligH MeJYKEgraveJUN`PJLhUTYXqNPbnJS^gtMJaumlJUP[]fcj H QR[]O[SX H MJIacutebLjehYUPJIacuteQcYu[]QVUPJUO QcO not QV[^ macr^gtMeJTbn[]O H []jehiexclJUP[]fUPJUYH [ONPfcfVmbn[]OUPJLhY[PJaelig[]O H MeJIacutecent=[]jO^NihQRJUY[SX H MJyXqNPbnJa not QV[^ macr^bj^OMeJyXiacuteNPbnJaeligQcYH MeJUONPbLbLjehdN H JUfVm YZJ[]ZOslashJUO H JU^^FMeJUacuteNSZOslashKfcQ H j^eJ[SX H MeJiexclUPJUfR[BbLQ H m QsYFNPfsY[laquo[]QVUPJUOQcO not QV[aqYj^ macr^ ^OecurrenJSe Xfrac34jNPO^WNtildeJUacutebLNPO [PcentYJLhYUPJ H MN HFH MeJ5XiacuteNPbnJUacutehZJ[]QR[]O QcYUPJLhYmWFJUfcf^eJUfsQZaringQ H JU^regXhZ[]Z H MJ[ H MJLhhZJ[]QR[]OY^MJ5UPJUfc[BbLQ H m[]QUPJUO QcO not QV[aqYj^ macr^ ^OecurrenJSe XQcObLfcj^eJUY H MeJNP^^Q H Qc[]ONPf H JLhlZaringYFbn[]ZaringQcOF[yXiacutehZ[]Z H MeJ5UiNihQcN H QR[]O [SX H MeJiexcl^eJUYbnhQRKeVH [PhY5WQ H Magrave`centj H ^e[BJUYOtildeOe[ H QcObLfcj^eJ H MeJaeligcentEgrave[]jO^NihlmVcentNPYZJU^ H JLhlZ WMQcbMeumlQcYUacuteNYYZaring[[ H MQsO[ H JLhlZ^KMeJtimesNSZOslashKfcQ H j^eJOtilde[SX H MeJyUPJUfc[BbLQ H maQcYiexclOe[PhlZaringNPfcQcurrenLJU^ centEgraveJ H WFJLJUOs NPO^ macrSmacre$YZjbdM H MN HTH MeJ OeJ[]N H QVUPJoU~NPfcjJUYIacuteNihZJ fR[WFJLh H MNPO f i`NPO^ H MeJKEgrave[]YZQ H QUPJ[]OJUYNihZJTMQ[]MeJLh H MNPOpoundf i^ J bLNPObn[]ZaringKNihZJ H MJ QcOQ H QsNPfUPJUfR[BbLQ H m[Pcent H NPQcOJU^jYZQcOF[ H MeJ bn[U~NihQsNPObnJZaringN H hdQk admacr s juWQ H M H MeJOtilde[]OeJOtilde[Pcent H NPQcOeJU^jYQcO[ H MeJordfUiNihQcNPObnJrega2Sj^KMeJordfXqNPbnJTQcYOe[ H WNtildeJUfsf9^eJ H JUb H JU^QcO H MeJUPJUfR[BbLQ H m[Pcent H NPQsOeJU^ajYQcO[ H MeJUiNihQcNPObnJa not Q[^ ^bjWMJLhZJUNPYIacuteQ H QcYIacutehZJUNPfcfmumlWNtildeJUfcfF^eJ H JUb H JU^QsO H MeJQcOQ H QcNPfUPJUfR[WbLQ H m7jYZQcOF[ H MeJbn[iVUiNihQcNPObnJpoundZ N H hQk a not QV[^ ^currencentj^_MeJ UPJUfR[WbLQ H m [Pcent H NPQcOeJU^ jYZQsO[ H MeJumlU~NihdQcNPObnJ^e[BJUYOe[ H NPfsfR[W NPOJltz bLQRJUO H YJ[]ZOslashJUO H N H QR[]O`[SX H MeJyXiacuteNPbnJauml[]O H MeJaumlbn[]O H hNihYm H [H MeJIacutebn[UiNihQcNPObnJlaquoZaringN H hQk^eJ H JLhZaringQcONPO H WMQsbM H N`PJUYUacuteNP^UiNPO H N[PJaelig[SX H MeJtimesbn[]fR[PhQcOFX[PhlZ N H QR[]OO^macr^ ^WVFEumlETH=gtNtildeFETH32EacuteltOacuterETHEacute`0Ntilde=KIgravek8ltIgraveFETHIgrave5=KETH32EacuteltOacute~2Oacute+(8ltIgraveEacute IcircIgrave5euml1IgraveFOacute=KIgraveIcircMJa^eJUYZbnhQcK H [PhYOslashcentNPYZJU^[]O H MJ`bn[UiNihQcNPObnJZaringN H hdQkNihJ`QZOslashK-fRJZOslashJUO H JU^ H [^eJ H JUb H MBjFZaringNPO XqNPbnJUYQcO UWQc^eJL[OacuteYJBjeJUObnJUY^MQsYaring^eJ H JUb H QR[]OegraveZaringNm cent=J`jYJU^Xiacute[PhtUWQc^eJL[ bn[B^QcO[ H [JUObn[W^eJYJUfcJUb H QVUPJUfVm H MeJOacuteMBjFZaringNPOegraveXqNPbnJS^ not [Ph`N []QVUPJUObn[]ZOslashKhZJUYZYZQR[]OOacutehN H QR[e H MeJoXiacuteNPbnJbLNPO7cent=J H hNPOYYZ Q HH JU^bWiexclQ H MN MQV[]MJLhThN H J H [H MeJ^eJ H hdQZOslashJUO H [SX H MeJcentNPbl`[Ph[]jO^O^uMQsY QsO H JLhZJUY H QcO[KhZ[PKEgraveJLh H m QcYUiNPfcjWVNicentfcJuX[PhUBQc^JL[Bbn[]OXiacuteJLhZJUObnJUYe]WMeJLhZJ H MeJ ZOslash[]Y H QZOslashKEgrave[Ph H NPO H NPO^regZOslash[]Y H U~NihdQcNicentfRJQcOFX[PhlZ N H QR[]OQcYfR[WbLN H JU^ []O H MJordfXiacuteNPbnJaq 5ZOslash[]Oe[]j`NPO^tUacutejMNSZaringJUfde sSsSs j^ J QcOQ H QcNPfcQVcurrenLJ H MJhdY H XiacutehNSZOslashJoWQ H M7N`bLQchbLfRJ QsOYZQc^eJ H MeJXqNPbnJ H [ H hNPbY`K^MJUOOeyacuteWFJsup1ZaringN`PJ H MeJNPb H QVUPJ7bn[]O H []jeheumlJUP[]fVUPJjYZQcOF[admacr s jeiexclWQ H MX8ordfaOgravejxaacuteILK KafUgravemiddot cent j^ltMeJregONPfybn[]O H []jehtimes[SX H MeJ bLjehZhJUO H QZaringN[PJ QcY H MeJUOOacutebdMe[]YJUO7NPYNPO QcOQ H QcNPfbLjhYUPJordfX[Ph H MJUacuteOJk H QZaringN[PJS^FMeJOtildeNPfV[P[PhQ H MFZMNPYcentEgraveJLJUOKEgraveJLhYXiacute[PhlZOslashJU^[]OYJUPJLhdNPf$YJjJUObnJUY^MeJaelighZJUYjf H Y5X[Ph H MJaeligYZJjeJUObnJpoundn5JLhQV`p NihJordm[]QVUPJUOQcOnot QV[^ethz^shyMeJaringKNihNSZaringJ H hZJ bMNPYaumlcentEgraveJLJUOYZJ HaumlH [sup1f s ^QMeJordmXqNPbnJ QcYordfWFJUfcfy^J H JUb H JU^NPO^ H hNPbY`PJU^times[]O H MJ|WMe[]fcJyYJjJUObnJS^MJyhZJUYZjf H YOX[Ph H MeJNtildeYZJjeJUObnJnN`WQVmP[]p

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ macrNihZJy[]QVUPJUO`QsO not QV[^ i^ JaeligbMe[B[]YJbaacute s ^ JtimesbLNPO`YJLJ H MN HH MeJXiacuteNPbnJaeligQcYuWFJUfcf^eJ H JUb H JU^aJUPJUOaQVX H MeJaumlbn[]fR[Phiexcl[SXMJLhYZMQRh H QsY(bLfR[]YJ H [ H MJgXiacuteNPbnJIacutebn[]fR[Ph^

YOEAEligMgtIltROgravesup3PshyAtildeT13MKI5O H MQcYKNiKEgraveJLheuWNtildeJKhZ[PKEgrave[]YJN OeJW 0jfRJLhQcNPOAumlZaringQsOQZaringQVcurrenUN H Qc[]OAumlZOslashJ H Me[W^ H [bn[]ZOslashK-j H J H MJUPJUfR[WbLQ H mpoundUPJUb H [Pharing[SXNPONPb H QVUPJ bn[]O H []jeh H MN H JUOYZjehZJUYtimesQ H WQcfcfJUP[]fVUPJ NPYordfXiacuteNPY H NPYOtildeKEgrave[]YZYZQRcentfcJ H [WNih^YIacuteNZaringQcOQCZIacutejFZ [SXN bnhQ H JLhQR[]OeumlQcObLfcj^QcOF[centEgrave[ H MUacutehZJ[]QR[]OeVcentNPYJU^TNPO^OtildecentEgrave[]jO^NihYmVcentNPYJU^ H JLhlZ Y^ q jehgNiKKhZ[]NPbMIacuteQcYcentNPYZJU^Otilde[]OYZMNiK=J[PK H QZaringQVcurrenUN H Qc[]OOslashKhQcObLQRKfRJUY$NPO^ QcYyKEgraveJLhYXiacute[PhlZOslashJU^ QcO H MehZJLJ5ZaringNPQcO Y H JLKYaringf^ltO H hZ[W^jb H QR[]O[SX$NOslash^mWONSZaringQcbLNPfYbMeJZOslashJIacuteQcO H MeJTbnhQ H JLhQR[]OOe ^vF[]ZOslashKj H N H Qc[]Oaelig[SX H MeJ_0jfRJLhdQcNPOaelig^eJLhQVUiN H QVUPJ[SX H MJbnhQ H JLhQR[]OOslashjYZQcO[OtildeYZMNiKEgraveJ

[PK H QZaringQVcurrenUN H Qc[]O H [[]fcYe^vF[]ZOslashKj H N H Qc[]Oa[SX H MeJtimesJUP[]fcj H Qc[]OaJBjN H QR[]O`[SX H MeJaeligNPb H QVUPJtimesbn[]O H []jehiexclXiacutehZ[]ZH MeJT^eJLhQU~N H QVUPJS^

iexcl Ntilde _ cent G NPfcfR[WY H [hJUNP^QcfVm H N`PJNtildeQcO H [NPbLbn[]jO H9H MeJybLNPYJ0[SXBhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H^eJUYbnhQRK H [PhY H MN H NihZJo[]fR[PcentNPfcfVmN HH NPbdMeJU^ H [ H MeJ JUP[]fVUWQcO[ hZJ[]QR[]OYtimesNPO^Y[H MN H UiNihYm^jehQsO[ H MJaumlKhZ[PKN[]N H Qc[]O [SX H MJaumlbLjehYUPJS^ JTYMe[W H MN HH MeJgUiNihQuVN H QR[]O [SX H MeJUYJ^JUYZbnhQRK H [PhdY QsO^jbnJUYNP^^Q H QR[]ONPf H JLhlZaringYQcO H MeJeumlJUP[]fcj H QR[]OJBjN H QR[]Oeuml[SX H MeJaringNPb H QVUPJ bn[]O H []jeh^MJUYJ H JLhlZaringYgZtimesjY H Oe[ H centEgraveJlaquoX[Phl[P[ HH JUOQcO[Ph^JLh H [ hZJUNPbMeumlN H hjeJZ QcOQZtimesjFZ[SX H MeJtimesbnhQ H JLhQc[]OaNPYUacuteQ H MNPYcentEgraveJLJUOKEgrave[]QcO H JU^[]j H QsOJkBKEgraveJLhQZaringJUO H NPfEgravehZJUYjf H Y^

Yfrac34XiacuteNiheumlNPYeumlMe[]ZOslash[S[PJUOeJL[]jYeumlbn[]fR[PheumlhZJ[]Qc[]OY`YZJ[]ZOslashJUO H N H Qc[]OQsY`bn[]ObnJLhdOeJU^OeWFJKhZ[PKEgrave[]YJ H MeJ`bn[U~NihQsNPObnJfrac34ZaringN H hdQk^eJ H JLhlZaringQcONPO H NPY N^eJUYbnhQRK H [Ph^MQcYY H N H QsY H QcbLNPfhZJ[]QR[]OeV4^eJLKEgraveJUO^eJUO H ^JUYZbnhQRK H [PharingNiKK=JUNihdY H [centEgraveJN UPJLhlm7hJUfRJU~NPO HH [B[]fampNPO^eumlY[ Q H MNPYUacutecent=JLJUOeumlYZjbLbnJUYZYXqjfcfVm NiKKfsQRJU^ H [XqNPbnJaring^eJ H JUb H QR[]OQcOfrac34UWQc^eJL[YJBjeJUObnJUY^

iquest acuteraquoacuteLacuteIltR]acuteAtildeagraveIgravefrac14dEcircsup1Atilde5AringiquestLmiddotNtildeIumliquestUumlgIumlUTHORNampAtildeEacutecedilAtilde5AringAcircnAtilde|iquestaacuteIacuteIumlIZEgravefrac14Zcedilfrac12frac14dAringiEcirc]iquestfrac14draquoiEcirc[NtildeIumlagraveAringEacutePAtildecedilwAacute4] uacute_^J^J^ iquest)` igraveraquoLCcedilfrac14cedil4Ecircfrac14draquo~Ecirc(Auml|AringAacuteCcedilfrac14Zcedil4Ecirc

Agrave5AringcedilAcircnAtilde$AtildeAcircnAuml|frac12AringAacutesup1AumldraquoTAringAEligwsup1raquo~ordm(frac12Atilde5AcircnAtilde5frac12AEligwAtildeAacuteampIgrave(Atilde AacuteIcirc~AumlUEcircSaIumligraveraquo13] x4~rv p4PldrRtcoPl|Egraveod5v pv i4vodaumlx4shyl not vsectpqo v tu not Iumlcb$Auml|EacutePAtilde|iquestednfrac14Oumlifrac14draquoIuml

agraveIgrave(Aumldraquo~Auml|Aringiquest~igrave4IumlPfrac14raquoiEcircfWIumliTHORNampAringIcircifrac14Igrave(Atilde5frac12G] divideugrave|ugrave|ugrave iquest` igraveAacuteAtildecedil4frac14ZAacutesup1Acirc|AtildeNtildeEacute~frac14dAgrave4UgraveUCcedilEgravefrac14cedil4EcircUacuteAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoUacuteOgraveregAumldcedilIcirc~sup1Atildecedil4frac14cedilAgrave4Icirc~sup1currenEumlAgravefrac14dfrac12=CcedilEgravefrac14AcircnAtilde5frac12AtildeAacutesup1Igravefrac14ordm|AtildeAgrave5AumlUEcircsup1raquo~ordmIaIumlaeligigraveiacuteraquoS] x4rv p ildrRtcodil|ampod5v pv P4vOtildeodOslashx4shy(l not vFsectpqo v tu not Iumlg frac14raquo~Agrave5AumldAring~AcircnAtildecediliquestehEgravefrac14raquoifrac14|Ecircfrac14Iuml

agraveAringEacutePAtildecedilwAacuteiquest[NtildeIumlWfrac14raquoiEcircifWIuml13b$Aumldcedilraquo~OumlcedilAuml|EacuteAEligqAacute4] divideugrave|ugraveuacute iquestkj ldrregv shy(ldrRtcl|ipwonm5v shyNtildetuOslashtushyl not vampipwo4v tu not sect9ldp4rRtcl|Egravedt lv pv ~rRtRl|9vDm~lrRtcod~ldiTrreg~vUacutel| Uiexcloqnldp4tcldrRtRod~ iquestpoAumlIuml uacute_qEr IumlOslashagrave9Ouml~Oumlfrac12sup1AtildeEcircaacuteUacutefrac14AacuteIcirc~AtildeIgravefrac14Aacutesup1Agravefrac14dfrac12BatildeAgravesup1Atilderaquo~Agrave5Atilde5AElig5iquestPatildeOumlcedilsup1raquoordm|Atildecedil g Atildecedilfrac12frac14dordmIumlhEgravefrac14dAEligwAtilde5frac12frac12Atilde5AElig5iquest g Iumliquest~szlig0Iumleb$sup1Igrave(Igrave(Atilde5frac12Riquestifrac14raquoiEcirc[NtildeIumlatildefrac14dOumlsup1cedilAumlI] uacute_^J^Er iquest`s[Atilde5AumlUEcircAtilde5AEligwsup1AgraveFfrac14dAgraveAacutesup1AcircnAtildeyAgrave5AumldraquoUAacuteAumldAringcedilAElig_aIuml x4~rv p4PldrRtcodPldpoundUodUp4Pl|WoqodshyiUrv paumlumltutcodutet13v uacute+w iquestex uacuteyIrz^ Iuml

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CBh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34LiquestBagraveyIumlWfrac14raquoiEcircidIumlBTHORNampAringraquo~Agravefrac14raquo13] uacute4^z^J^ iquest`[ampfrac14Igrave(AtildeEumlcAacuteIcirc~Atilde5AumlcedilAtildeAacutesup1Agrave(sup1raquoUAacuteAtildeordmdcedil4frac14Aacutesup1AumldraquoaeligOgraveuAumldcedil0sup1Igravefrac14dordmdAtildeAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIuml xQ|||~pwl~ lnrRtcodNtildeodiexclsect9lrRrv p auml9Pl| ~tuyldi j l|4Utu]vx4~rvreg t not v P4v Iumlh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34Liquestgagrave0IumliquestIumlgatildeUAacute4frac14dsup1Eacuteiquest9frac14draquoiEcircdIuml9THORNampAringraquo~Agravefrac14raquo13] uacute_^J^ xiquest` THORNampAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeIacuteEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34iraquo~Ecircsup1raquo~ordmsup1raquoIgrave(AtildeEcircsup1Agravefrac14frac12iexclsup1Igravefrac14ordm|Atilde5AEligaringEacuteLfrac34Oacutesup1raquoLAacuteAtilde5ordmcedil4frac14Aacutesup1raquo~ordm ordmdcedil4frac14|Ecircsup1Atilde5raquoLAacute frac14raquoiEcirccedilAtilde5ordm|sup1Auml|raquo sup1raquoOgraveuAumldcedilIgravefrac14ZAacutesup1Auml|raquo13aIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu notI iquesteE ^4y rdugrave Iumlh=Icircifrac14raquoiquestBETHIumlWfrac14raquoiEcircIuml g Atilde5AEligwAtildeJ] dividedugravedugraveuacute iquest` agraveAgraveAacutesup1AcircnAtildeFAgrave5Auml|raquoLAacuteAuml|AringcedilAElig$Ccedilgsup1AacuteIcircAuml|AringAacuteNtildeAtilde5Ecircordm|AtildeAElig_aIuml xQ||k|~pwld lnrRtcododUacutex4shy(l not v9sectpqo4v 4tu notuU v divideJw iquest divide xJx ydividezrJr Iumlh=Icirc~Atilde5AEligwraquo~frac14dAring~EcirciquesthIumliquestfWIuml=szligAtildeOgraveYacutecedilIAtilde5ordm|sup1Atildecediliquestfrac14draquoiEcirc g Iuml5Z=AumldAring~frac12AtildeAacute4] uacute_^J^z^ iquest`currenatildeUAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12cedilAtilde5ordmdsup1AumldraquoAEligwraquoifrac14dUgrave|AtildeEumlsEacuteifrac14dAEligwAtilde5EcircAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquofrac14|Ecircfrac14dOumlAacuteAtilde5EcircFAacuteAumlyEcircsup1s]AtildecedilAtilde5raquoLAacute-Ouml~IcircLfrac34AEligwsup1Agrave5frac14dfrac12~raquoAuml|sup1AEligwAtilde9Igrave(AumlUEcircAtilde5frac12AElig_aIuml xQ||k|~pqld~ lnrRtco~$osect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4vt iquest uacute|uacute_q y~uacute|uacute xIumlh=Auml|IcircAtilde5raquoiquestIuml] uacute4^z^uacute iquest`currenmiddotraquofrac14dAgrave Aacutesup1Acirc|Atilde Agrave5AumldraquoLAacuteAuml|AringcedilIacuteIgrave(AumlUEcircAtildefrac12AEligtimesfrac14draquo~EcirceumlEacuteifrac14dfrac12frac12AumlLAuml|raquoAElig_aIuml odshyiUrv pumltutcod pwl Utc0ldix4shyl not vsectEgravepwo4v tu not x4shyl not vOtildePnv p rsldidtu not) iquest divideUuacuteduacuteydivideLuacute UIumlh=Auml|IcircAtilde5raquoiquestSIumliquestUumlIuml13ZEgravefrac14cedil4Ecircsup1raquo~AtildeAacuteiquestfrac14raquoiEcircoNtildeIumlagrave9frac34Lfrac14dAgrave4Icirc~AtildeJ] uacute_^J^z iquest`atildeUAringcedilwOgraveufrac14dAgrave5Atilde0cedilAtilde5Agrave5Auml|raquoAEligqAacutewcedilAring~AgraveAacutesup1AumldraquotimesAring~AEligwsup1raquoordmfrac14AgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilaumlIgrave(AumlUEcircAtilde5frac12AElig_aIuml igraveiacuteraquoS] Lsect=xQ|od5v pv P4v od vwodshy(v rRp tc j v rregodtimestuodshyiUrv pumltutco Iuml~atildefrac14raquoUacuteTHORNampsup1Atilde5ordm|AumliquesthEgraveagraveyIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquestEgraveUumlIuml] dividedugrave|ugravedugrave iquest`currenatildeAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquo Ouml~frac14cedilAgrave5Auml|raquoLAacuteAuml|AringcedilAEligUacutefrac14AgraveAacutesup1currenOgraveuAEligUacuteAtilde5raquosup1Igravefrac14dordmdAtildecedilsup1AtildeIacuteIgraveAtilde5Ecircsup1Agravefrac14dfrac12AtildeIacuteEcircfrac34UEumlraquoifrac14dIgrave(sup1ecircLAring~Atilde]ampfrac14Ouml~Ouml~frac12sup1Agravefrac14ZAacutesup1AumldraquoAtilde5raquoeumlAgravefrac14Zcedil4Ecircsup1Auml|frac12Auml|ordmdsup1Atilde raquoUAring~Agravefrac12Atilde5frac14dsup1currencedilAtildeJaIumlfIcircIuml THORNFIumlAacuteIcirc~Atilde5AEligwsup1AElig5iquestraquo~sup1AcircnAtildecedilAEligwsup1currenAacutefrac34`AumlOgraveosup1Agrave5AtildeEumliacuteatildeAumldOuml~Icircsup1Yacutefrac14NtildeagraveraquoLAacutesup1OumlPAuml|frac12sup1AElig5iquestPeacutecedil4frac14raquo~Agrave5AtildedIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquest|UumlIumliquestUaacuteIacuteIumlEZEgravefrac14cedilfrac12frac14dAring~Ecirciquest[NtildeIumlLagraveAringEacutePAtildecedilwAacuteiquest|frac14draquoiEcirc dIumlnTHORN$frac14ZcedilAgrave5Auml|AringcedilwAacute4] divideugrave|ugraveUuacute iqueste`currenatildeOuml~frac14dAgrave5AtildeEgraveAacutesup1Igrave(AtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14EumlAacutesup1AumldraquoUacuteAring~AEligwsup1raquoordmfrac12Atilde5AcircnAtilde5frac12AEligwAtildeAacutefrac14dAgraveAacutesup1AcircnAtilde$AgraveAuml|raquoLAacuteAuml|AringcedilAEligfrac14Ouml~Ouml~frac12sup1AtildeEcirciexclAacuteAumlFIgraveNtildefrac34LAumlLAgravefrac14Zcedil4Ecircsup1frac14dfrac12ordmnfrac14ZAacuteAtildeEcircOtildeatildeIf-UumlkhEgraveETHaIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu not t v rJw iquest)x qJ+y xJ ^ Iuml

THORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquest13iexclNtildeIumlfrac14draquo~EcircdIumlWaacuteAuml|raquoLAacute4frac14ordm|raquoifrac14ZAacute4] divideugrave|ugraveUuacute iquest` ETHBAumldOumlPAuml|frac12Auml|ordmfrac34Oslashfrac14raquoiEcircIacuteAEligwIcirc~frac14dOumlPAtildeAgraveAuml|raquo~AEligqAacutewcedil4frac14sup1raquoUAacuteAEligyAumldraquotimesOumlifrac14Zcedil4frac14EumlIgrave(AtildeAacutewcedilsup1AgraveOslashfrac14dAgraveAacutesup1AcircnAtildearingAgrave5AumldraquoLAacuteAuml|AringcedilAElig_aIuml odshy~rv pumltutcodldP x4shy(l not vPLv p4rsldPtu notcent) v divideJw iquestuacute_qnugrave4yiuacute4rUuacute Iuml[Auml|Igrave(Atilde5AElig5iquestpounddIumlfrac14draquo~EcircaringmiddotNtildeIumleacuteifrac14Aring~ordm|Atilde cedil4frac14dAElig_] divideugrave|ugrave|ugrave iquestcurren` szlig9Atilde5Agrave5Aumldraquo~Agrave5sup1frac12sup1raquo~ordmIacuteEcircsup1AEligqAacute4frac14draquoAgrave5AtildeOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligfrac14draquo~Ecircaeligfrac12Atilde5AcircnAtilde5frac12EgraveAEligwAtilde AacuteAElig_aIumlpoundUodUp il|WoqUacuteumltul|-odshyNtildeshyFU~tR4lrRtcodTldix4shyl not vampgvipv v rsldrRtcod ) iquest dividedugravez^+ydivideddividez Iuml[cedil4frac145frac34LiquestszligyIumliquestdIumlyen-Auml|Aringraquo~ordmiquestampfrac14raquoiEcircagrave0Iumlampagravesup1currenfrac34LAtildecedil4] dividedugravedugraveuacute iquest `aacutesup1raquosup1IgraveNtildeAring~Igrave Ecircsup1AEligwAgrave cedilsup1Igrave(sup1raquo~frac14Aacutesup1Auml|raquosup1raquoOgraveregAumldcedilIgravefrac14Aacutesup1AumldraquoAgrave5frac12Aring~AEligqAacuteAtildecedilsup1raquo~ordmI]Igrave(AumlUEcircAtilde5frac12sup1raquo~ordmTfrac14raquoiEcircOslashecircLAringifrac14raquoUAacutesup1Ocircfrac14ZAacutesup1Auml|raquoOslashCcedilgsup1currenAacuteIcirc ordm|frac14dAringAEligwAEligIgrave(sup1currenicircAacuteAringcedilAtilde5AElig_aIumlTigraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquest=atildePIumliquest=aacuteIacuteIumlkZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestEgravefrac14raquoiEcirc[NtildeIuml=agrave9Aring~EacutePAtildecedilwAacute4] dividedugrave|ugraveUuacute frac14Uiquest` agrave EumliacuteatildeUAacuteAtilde5Ouml frac14dfrac12ordm|Aumlcedilsup1currenAacuteIcirc~IgraveAring~AEligwsup1raquoordmcedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtilde=Agrave5Auml|raquoLAacuteAuml|AringcedilAEligeOgraveuAumldcedilAcircUsup1EcircAtilde5AumlAuml|EacuteUbrvbarqAtilde5Agrave AacuteAElig=EcircAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoSaIuml~igraveraquo13]psect xw j x4 sect odpDumlqo odUacutex4shy(l not v9Pl| ~tu5op j rRtushyvwdtclNtildex4rv pwlnrRtKndvy]v pntc4v IumliETHWfrac14dIgrave(OumlPAtilde cedilAtilde|iquestieacuteWsup1raquofrac12Yacutefrac14raquoiEcirc]Iumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquestUatilde]IumliquestUaacuteIacuteIumlUZ=frac14cedilfrac12frac14dAring~EcirciquestUfrac14raquoiEcirccopy[NtildeIumlUagrave9Aring~EacutePAtildecedilwAacute4] dividedugravedugraveuacute EacuteiquestA` szlig9Atilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14AgraveAacutesup1AcircnAtildegAgrave5Auml|raquoLAacuteAumldAringcedilAEligOgraveuAumldcedilAcircUsup1YacuteEcircAtilde5AumlaringAuml|EacuteUbrvbarqAtilde5Agrave AacuteOtildeAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo Ccedilgsup1currenAacuteIcircaAgrave5frac14dIgrave(Atildecedil4frac14OslashAgrave5AumldIgrave(OumlPAtilde5raquo~AEligfrac14ZAacutesup1Aumldraquo13aIumligraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquesteatilde]IumliquestWaacuteIacuteIumlZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestefrac14draquo~Ecirc[NtildeIumlBagraveAring~EacutePAtilde cedilwAacute4] divideugrave|ugraveuacute Agrave|iquestk` g sup1EcircAtilde5AumlUacuteAuml|EacuteUbrvbarqAtildeAgraveAacuteFAEligwAtildeordm|Igrave(Atilde5raquoLAacute4frac14Aacutesup1AumldraquoAring~AEligwsup1raquo~ordmIacuteAtilde5Aring~frac12Atildecedilsup1frac14draquo cedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAElig_aIuml igraveiacuteraquoS] x4rv p ildrRtcodil|yodv pwv P4vIacuteoodshyiUrv paumlumltutcod Iuml g frac14draquoAgrave5Auml|AringAcircnAtildecediliquestehEgravefrac14draquo~frac14|Ecirc~frac14UIumlbyfrac14dAEligwAElig5iquesteaacuteIacuteIumliquestWagrave0Iuml Ucirc sup1currenAacuteUgravesup1raquoiquestWfrac14raquoiEcirctimesTHORNFIumlWETHBAtildecedilOcirc5AumldOumlPAuml|Aringfrac12AumldAElig_] uacute4^ JUiquestk`currenatilderaquoifrac14UgravenAtilde5AElig_]WagraveAgraveAacutesup1AcircnAtilde(Agrave5AumldraquoLAacuteAuml|Aringcedil0Igrave(AumlUEcircAtilde5frac12AElig_aIumlx4~rv p4PldrRtcoPl|WpoundUop4PldWoqodshyiUrv pTumltutcod iquest ndivideUuacuteyUzndivide Iuml

aacuteUacutefrac14dfrac12frac12frac14|Ecircsup1ciquest~szlig0IumliquestedIuml]atildeUAtildeAacuteIcirc~sup1frac14raquoiquest~frac14draquoiEcircZIuml g Atilde5IgraveNtildeAringcedilsup1G] uacute4^z^ UiquestS`atildeUIcircifrac14OumlPAtilde$Igrave(AumlUEcircAtilde5frac12sup1raquo~ordm0Ccedilgsup1AacuteIcirciexclOgraveregcedilAuml|raquoLAacuteOumlcedilAumldOumlifrac14dordm|frac14EumlAacutesup1Aumldraquo13]nfrac14ampfrac12AtildeAcircnAtilde5frac12AEligwAtildeAacuteEgravefrac14Ouml~OumlcedilAumlnfrac14dAgrave4Icirc13aIuml xQ|||~pwld lnrRtcodampodsectgldrRrv p 9Pl| ~tu9ldP j ln4Utreg]vx4~rvu t not v i4v Iordf iquest uacute z yiuacute+r UIuml

aacuteUacutefrac14draquoAEligwAuml|Aringcedilsup1Riquestagrave0Iumlfrac14draquo~EcircdIumlb$Auml|raquocedil4frac14|EcircS] uacute_^J^J^ iquestlaquo`currenaacuteAumldAacutesup1AumldraquoAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo`Ccedilgsup1currenAacuteIcirceumlfrac12Atilde5AcircnAtildefrac120AEligwAtilde AacuteAElig_aIuml igraveraquo13]x4~rv p4PldrRtcoPl|=ov pwv P4vNtildeodUacutex4shyl not vsectEgravepwo4v tu not Iumlcb$AumldEacutePAtilde|iquestednfrac14dOuml~frac14draquoIuml

aacuteAuml|raquoLAacute4frac14dordmdraquoifrac14ZAacuteiquestdIumliquestziexcl0IumlTHORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquestdfrac14draquo~EcircoNtildeIumlZagravegfrac34Ufrac14dAgrave4Icirc~AtildeJ] dividedugrave|ugraveUuacute iquest` agraveOslashcedilAtildeAcircsup1AtildeCcedilaeligAumldOgravePEcircAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeAEligwAringcedilwOgraveufrac14dAgrave5AtildeAElig_]AacuteAuml|OumlPAuml|frac12Aumldordmdfrac34Liquestgordm|AtildeAuml|Igrave(AtildeAacutewcedilwfrac34frac14draquoiEcirc EcircAtildeOgraveuAumlcedilIgravefrac14Aacutesup1Auml|raquoSaIuml x4shyl not vtimesldiOacuteumltutcododshy~rRtreg not0Inot v uacute_qw iquestuacuteugravendivide+y~uacuteugravezq|ugrave Iuml

aacuteAring~IgraveOgraveregAumldcedil4Ecirciquest=THORNFIumlgfrac14raquoiEcircdIumlatildeIcirc~frac14dIcircS] uacute4^ ^ iquest`currenmiddotOumlAacutesup1Igravefrac14frac12$frac14dOumlOumlcedilAumlicircsup1Igravefrac14Aacutesup1Auml|raquoAEligEacuteLfrac34Oumlsup1AtildeAgrave5AtildeCcedilgsup1AEligwAtildetimesAEligwIgrave(AumlLAumlAacuteIcircOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligFfrac14raquoiEcircOslashfrac14dAEligwAEligwAumlLAgravesup1Yacutefrac14ZAacuteAtildeEcircaringAcirc|frac14Zcedilsup1Yacutefrac14ZAacutesup1Auml|raquoifrac14frac12EgraveOumlcedilAumldEacute~frac12Atilde5Igrave(AElig_aIuml odshyNtildeshyFU~tR4lrRtcod~oaeligsectEgraveUpvUacuteldiEgraveni tsvw j ldrreg~v shy(lrRtccurrenshyt iquest rzr4y xJ q Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfa

yenKbrvbarsect =4 acirc $ zmiddotAEligwIcirc~AtildecediliquestdatildePIumlfrac14draquo~EcircdIumlnatildeAtilde AacuteIcirc~sup1frac14draquoS] uacute4^ ziquest` eacutecedilAuml|raquoLAacuteAEligeOumlcedilAumldOumlifrac14ordmnfrac14Aacutesup1raquoordmCcedilgsup1currenAacuteIcircFAgrave5AringcedilAcirc|frac14ZAacuteAringcedilAtildeEumlEcircAtilde5OumlPAtilde5raquoiEcircAtilde5raquoLAacuteBAEligwOumlPAtildeAtildeEcircS]

agravefrac12ordm|Aumlcedilsup1AacuteIcircIgrave(AEligEacute~frac14dAEligwAtildeEcircaumlAuml|raquoiexclampfrac14Igrave(sup1frac12AacuteAumldraquoEumldnfrac14Agrave5Auml|Eacutesup1eacute~AumldcedilIgraveNtildeAring~frac12frac14Aacutesup1Auml|raquoSaIuml poundUodUp4Pl|oqiexcloshyiUrsldrRtcoPl|sect=U~tc ordfenot iquest uacutedivide4yEqE^ Iumlfefrac14cedil4frac14ordm|sup1Auml|AElig5iquestoNtildeIumlfrac14draquo~EcircIacuteszligyIuml]THORNampAtildecedilsup1Agrave4Icirc~AtildeJ] uacute4^z^J^ iquest`s[Atilde5AumlUEcircAtildeAEligwsup1Agravefrac14AgraveAacutesup1AcircnAtildeFcedilAtilde5ordmdsup1Auml|raquo~AElig$OgraveregAumldcedil0Igrave(AumldAacutesup1Auml|raquoTAtilde5AEligqAacutesup1Igravefrac14Aacutesup1Aumldraquofrac14draquoiEcircAacutewcedil4frac14dAgrave4UgraveUsup1raquoordmAaIumligraveiacuteraquoS] x4rv p ildrRtcodil|-ov pwv P4vFodOslashodshyiUrv paumlumltutco Iumleh=AumldcedilwOgraveregAringgt[cedilAtilde5Atilde5Agrave5Atilde|Iumlfefrac14AacuteAtilde5Aringicirc]iquestatilde]Iuml] dividedugravedugrave|ugrave iquestpound`currenatildeOuml~frac14Aacutesup1frac14dfrac12AEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoTAumldOgrave=Agrave5Auml|frac12Aumlcedilysup1Igravefrac14ordm|Atilde5AEligampfrac14dAgrave5Agrave5Aumlcedil4Ecircsup1raquo~ordmAacuteAumlUacuteaacuteTHORNaringOgraveregAumldcedilIgravefrac14dfrac12currenEumlsup1AEligwIgraveaIumlyigraveraquo13] x4~rv p4PlrRtcodPld=od5v pv i vodododpFtu pwl4UtcldPx4shyl not vysectpqo v tu not Iumlatildefrac14dsup1raquoLAacute UumleAacutesup1Atilderaquo~raquo~Atildediquestieacutecedil4frac14raquo~Agrave5AtildedIumlfcedilAtildeAgrave5sup1Auml|AEligwAumliquesteacute=IumlEgravefrac14raquoiEcirc aacuteIacuteIumlcurrenZEgravefrac14cedilfrac12frac14dAring~EcircS] dividedugrave|ugraveUuacute iquest` Z-EumliacuteatildeUOuml~frac12sup1raquo~Atildeaumlfrac14dAgrave Aacutesup1Acirc|AtildeOtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAEligOgraveregAumldcedilOgraveRfrac14AEligqAacuteAcircUsup1EcircAtilde5AumltimesAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIumlOacuteigraveraquo13] x4rv p ildrRtcodil|od5v pv P4vaeligod x4shy(l not vUacutesectpqo4v 4tu not IumlETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1Riquest[cedilAtilde5Atilde5Agrave5Atilde|Iuml

szligAumldraquoOgraveufrac14cedil4EcirciquestszligyIuml] uacute_^J^q iquest` szlig9Atilde5ordmdsup1AumldraquoEumlsEacuteifrac14AEligwAtildeEcircFAEligqAacutewcedil4frac14ZAacuteAtilde5ordm|sup1Atilde5AEligeOgraveuAumlcedil-frac14dAgraveAacutesup1AcircnAtildeEgraveAgraveAuml|raquoLAacuteAuml|AringcedilIgrave(AumlUEcircAtilde5frac12AElig_aIuml x4~rv p4PldrRtcoPl|poundUodUp il|WoqodshyiUrv paumlumltutco I v dividezw iquest divideddividez^+yUdivide uacute Iuml

atildefrac14Igrave(AEligwAuml|raquoiquestzhIumliquestzIumlzZ=frac12frac14raquo~AgraveEumleacuteAtildecedil4frac14AringiEcirciquestJ[NtildeIumldagraveAringEacutePAtildecedilwAacuteiquestfrac14draquo~Ecirc dIumlJregPAtildecedilAring~Eacutesup1frac14I] dividedugravedugrave|ugrave iquest` agrave frac12Atilde5Acirc|Atilde5frac12UAEligwAtildeAacuteIgrave(AumlUEcircAtilde5frac12nOgraveregAumldcedilsup1Igravefrac14ordm|AtildeAgrave5frac12frac14dAEligwAEligwsup1siAgravefrac14ZAacutesup1Auml|raquo13aIuml x4~rv p4PlrRtcodPldpoundUodUp4Pl|BoqNtildeodshyiUrv pOtildeumltreg4tRod shy v Ew iquest uacute r4y~uacute4^Er Iuml

atildefrac14raquo~ordmdCcedilgsup1raquoAtilde|iquest9atilde]IumlEgravefrac14draquo~Ecircszlig0IumlampiexclAumldcedilraquoAtilde v Atilde5EcircAElig5Iuml w ] uacute_^J^ Uiquest ~vIacuteo|odUpaumltushyl not vipqo4v 4tu not ldP|m4oo4uml Iumlh=Icircifrac14dOumlIgravefrac14draquodegmacriexclampfrac14dfrac12frac12RIumlatildeAtildeAacuteIcircsup1frac14draquoiquestdIumlplusmn] uacute4^z^|ugrave iquestU` oAringIgrave(Atildecedilsup1Agravefrac14dfrac12Ufrac14frac12ordm|Aumldcedilsup1currenAacuteIcircIgrave(AEligWOgraveuAumldcedilOumlcedilAuml|Oumlifrac14ordmnfrac14ZAacutesup1raquoordmsup1raquoLAacuteAtildecedilwOgraveRfrac14Agrave5Atilde5AElig_]Jiexclampfrac14dIgrave(sup1frac12currenAacuteAuml|raquoEumldnfrac14dAgrave5AumldEacute~sup1

AtildeecircLAringifrac14Aacutesup1Aumldraquo~AElig-frac14draquoiEcircAgraveAuml|raquo~AEligwAtilde cedilAcirc|frac14ZAacutesup1Aumldraquo(frac12frac14CcedilgAElig_aIuml poundUodUp4Pl|]oqEgraveyen$t lv pv rRtcl| voshyv rRp~ iquest uacute4Uuacutey~uacute x uacute IumlatildeAtildeAacuteIcircsup1frac14draquoiquestAdIuml] uacute4^J^ xiquest kWvndvB]v r j v rregod IumlcurrenhEgravefrac14dIgraveNtildeEacutecedilsup1EcircordmdAtilderaquosup1AcircPIumlAfecedilAtilde5AEligwAElig5Iumlatildesup1Ecirc~Ecircsup1ecircUsup1Riquest4bIumliquest_yenNtildeIumlBfrac14Aring~Ocirc5sup1Gsup2AtildecedilAtilde|iquestagraveyIumlETHWfrac14draquoraquo~Atilde5raquoUEacute~frac14dAring~IgraveUacuteiquest5frac14draquo~EcircNtildeatildePIumlregPAring~Agrave4UgravenAtildecedil4] uacute_^J^ xUiquestE`currenagravegcedilAtildefrac149frac14draquoiEcirc$frac12Atilde5raquoordmdAacuteIcircyIgrave(sup1raquoEuml

sup1Igrave(sup1Ocirc5sup1raquoordm sup3iAumlCcedilgAEliggOgraveuAumldcedilAEligwIcircifrac14OumlPAtildeyAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo13aIuml xQ|||~pwl~ lnrRtcodoOtildex4shyl not vsectEgravepwo4v tu notordf v Ew iquest qEz+yqzqE Iumlyen=AtildeOcirc5Ocirc5sup1RiquestagraveyIumliquest5agrave0Iuml5ETHEgraveAEligfrac14dsup1Riquestfrac14draquo~Ecirc$agrave0Iuml Ucirc sup1frac12frac12AEligwUgraveLfrac34] uacute4^z^J^ iquestJ` agraveaeligAEligqAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12Ufrac14dOumlOumlcedilAumlnfrac14Agrave IcircampAacuteAumlgAEligwraquo~frac14dUgravenAtilde5AElig]OgraveuAumlcedilWEacutesup1Igrave(AumlUEcircfrac14dfrac12frac14draquoiEcircAacutewcedilsup1Igrave(AumlUEcirc~frac14frac12isup1Igravefrac14dordmdAtildecedilwfrac34aIumligraveraquo13] x4rv p ildrRtcodil|eodv pwv P4vyodx4shyl not vgsectpqo v tu not IumlAb$AumldEacutePAtildednfrac14dOuml~frac14draquoIumlreg]IcircUAringiquest]atilde]Iumlfrac14raquoiEcircaumlagrave0Iumleyen=Aringsup1frac12frac12AtildeJ] uacute_^J^ xUiquestpound` szlig9Atilde5ordmdsup1AumldraquotimesAgrave5AumldIgrave(OumlPAtildeAacutesup1currenAacutesup1Auml|raquo13]iAring~raquo~sup1currenOgraveYacutefrac34sup1raquoordmiexclAEligwraquo~frac14dUgravenAtilde5AElig5iquestPcedilAtildeordm|sup1Auml|raquoTordmdcedilAumlCcedilgsup1raquo~ordmiquestfrac14draquoiEcircZEgravefrac145frac34LAtilde5AEligacute|aacuteTHORNOgraveregAumldcedilIgraveFAring~frac12currenAacutesup1Eacuteifrac14raquoiEcirc sup1Igravefrac14ordm|AtildeTAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo13aIuml xQ|||micro~pwld lnrRtcodtimesosect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4v Icent iquesteJ q+yU^dugrave|ugrave Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfo

i $amp)(+-)013021+345627893lt=gt9A6CBfrac12OcircacuteIshyNT

frac12OcircacuteIltNTpara frac12frac34EMeJaumlQcYZYZjJUacuteQsY H [ ^QEgraveJLhZJUO H QcN H J H MeJordfXiacute[]fcfR[WQcO[Oslash^e[]ZaringNPQsOXiacutejOb H QR[]ONPfdaringocirc|adOuml times jOcircaacute uuml times a2atildeltszligaumlgtszliglOuml times j atilde auml

G QsObnJ H MJeumlYZJ H [SXIacuteNPfcfUacute^e[]ZaringNPQsOYMNPY Oe[ H N Y H hjb H jhZJ`[SXUPJUb H [PhQcNPfOtildeYZKNPbnJSefRJ H jYZ N`PJ H MeJeumlhZJ[]QR[]OYJUP[]fVUPJ H MehZ[]j[]M NrXqNSZaringQcfVm [SX H hNPOYYX[PhlZ N H QR[]OYa(|aagraveszlig jj emiddot iacuteaumlYlZOslash[[ H MaNPO^ centQ ~JUb H QVUPJS^ not [PhNOslashKEgrave[]QcO H $ aacute atildeshyszligaumlN eFWFJTOe[ H JSaring$ aagravej|aacutemiddot|aagraveszlig $ j WiexclQ H M |a s szlig $ jaacute $OumlcopytimesaagravejOcircaacutemiddot|aagraveszliglOumlutimesdj WiexclQ H M |a s szliglOumlcopytimesAjOcircaacuteAumlOumlutimes9J H jY H MeJUO^JOeJ H MeJordfUPJUfR[WbLQ H moUPJUb H [PhdY JUfs^kfrac12 YZjbM H MN H aringfrac12sup1aagraveszlig $ aagravejj|aacute aelig |aelig agrave aagraveszlig $ j YlaquoXiacuteNiharingNPY H MeJ bn[]ZOslashKj H N H QR[]O[SX H MeJ ^eJLhQU~N H QVUPJ QcYOslashbn[]ObnJLhOeJU^OeWFJNihZJQcOWVH JLhZJUY H JU^ QcO YYZaringNPfcfOtilde^JX[PhlZ N H QR[]OY^ J H MBjYJkWKNPO^ H MeJ H hNPOYX[PhZaringN H QR[]ONPbLbn[Ph^QcO[ H [hdY H [Ph^eJLh NmWfR[PhyacuteXiacute[PhlZtimesjfcNaring|aagraveszlig $ jpoundaacuteAElig|a s szlig $ j agrave aelig |aelig agrave a s szlig $ jaacute $ ragrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacute frac14 frac14 a s szlig $ j^ J H MeJUOQcO H hZ[W^jbnJ H MehZJLJgZ NPQcO^eJOQ H QR[]OYaringf^QMeJg0jfRJLhQcNPO^eJLhQU~N H QVUPJOtilde[SXocirc|adOuml times jordfaqQcO H MeJIacute^QRhZJUb H QR[]O[SXcedilfrac12jaring ocirc|adOumlcopytimesszlig_frac12jOcircaacutefcQZUcedil iacute ocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave admacrfj ^QMeJgZaringN H JLhQsNPfg^eJLhQVUiN H QVUPJOtilde[SXuumlStimesYa $ szliglOumlcopytimes)jaringsup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j|aacutefcQZUcedil iacute uumlStimesa $ ragrave3frac12ba $ jszliglOumlutimes agrave3frac12sup1a $ jj uuml]timesa $ szliglOumlcopytimesdjagrave admacr j^QMeJaumlYZMNiKEgraveJOtilde^eJLhQU~N H QVUPJOtilde[SXOcircuuml]timesa $ szliglOumlutimes)jaring

uumlnotraquotimes a $ szliglOumlcopytimesUcircszlig_frac12 jaacutefcQZUcedil iacute uumlStimesYa $ szliglOumlutimesragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave admacrS]j

uumlnyacutenthornnyumll13YSordmY_Fordfy

yenKbrvbarsect =4 acirc $ hq centUWQR[]jYZfVmSe-centmaJkBKNPO^QcO[ admacr jUacuteNPbLbn[Ph^QcOF[ H [hdY H [Phd^eJLhordfNmBfR[PhordfXiacute[PhlZtimesjfcNeWFJaumlMNUPJSaring sup1uumlStimesYa $ szliglOumlcopytimesUcircszlig_frac12 jaacuteAumluumlnotraquotimes a $ szliglOumlcopytimesszlig_frac12jhuumlStimesa $ szliglOumlcopytimes)j frac12sup1a $ j admacrj J H MeJUOabn[]ZOslashK-j H JZOslash[PhJaumlKhZJUbLQcYZJUfVm H MJ0jfRJLhQcNPO ^eJLhdQVU~N H QUPJauml[SXcopyocirc|adOumlcopytimesdj^ JMNUPJSaringocircOcircadOumlutimesaagravejj ocircOcircadOumlutimes)jagrave aacute fagrave = thorn yuml uuml times a $ aagravejszliglOuml times aagravejj $ uuml times a $ szliglOuml times j $ FH admacrSmacr]j5O H MJohY H QcO H J[PhdNPfdeltWFJZaringN`PJ H MeJU~NihdQcNicentfRJ bMNPO[PJ $ aagravejaacute $ agrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacuteethicirc7a2atildeshyszligaumlFjszligicirc cent a2atildeltszligaumlj eWMQcbdM[]QVUPJUYaring thorn yuml uuml]timesYa $ aagravejszliglOumlcopytimesYaagravejj $ aacute admacrS]j

5 uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlutimes agrave3frac12sup1a $ jjlt^eJ H ocirc a $ jlt $WMJLhZJocirc a $ jQcY H MeJgXiacute[]fcfR[WQcO[aringSNPbn[PcentQcNPOtZaringN H hdQkKaring

ocirc a $ jaacute oacute fcedilxagrave frac14 iacute oslashfrac14Uordm agrave frac14 iacute oslashfrac14 ugraveagrave frac14 iacute acircfrac14ordm fcedil agrave frac14 iacute acircfrac14 ugrave ocircNPO^ YZ[eFWNtildeJIacuteMNUPJSaring

^eJ H ocirc a $ jOcircaacute fUragravee^QVUKafrac34frac12sup1a $ jjragrave cent ^eJ H amacr frac12sup1a $ jjMJUOWNtildeJauml[Pcent H NPQcOOaring

fsQZcedil iacute ^eJ H ocirc a $ j fagrave aacute ^QVUKafrac34frac12sup1a $ jj admacr]zSjMJJBjN H QR[]OxadmacrSmacr]j H MeJUOcent=JUbn[]ZaringJUYaringocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave aacute fagrave middot uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jjlt 13raquo ocirc a $ jlt $ uumlStimesa $ szliglOumlcopytimesAj $ admacrSi]j JTbLNPO`YZjeKKEgrave[]YJ H MN H ^eJ H aocirc a $ jjfrac14aacute sfrac12 agrave frac12 $ ^ JZaringNm H MeJUO H N`PJ^eJ H aocirc a $ jjfrac34 s eNPO^ WNtildeJ ^eJUPJUfR[PK H MeJaJkWKhZJUYYZQR[]OadmacrSi]j NPYoX[]fsfR[WQsO[centmNP^^QcO[aringN H JLhZ QcO H MeJIacuteYZJUbn[]O^aQcO H J[PhNPfltWMQcfcJaumlYZjeKKhJUYZYZQcO[ H MeJtimesYZNSZOslashJ H JLhlZQcO H MJordfhY H QcO H J[PhNPfdaring ocirc|adOumlcopytimesYaagravejj ocirc|adOumlcopytimes)jagrave aacuteegraveOtildef1rOtilde cent admacrSh]j

uumlnyacutenthornnyumll13YSordmY_Fordf

s $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJSaring

Otilde aacute uuml]timesa $ ragrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave ^eJ H aocirc a $ jj $ ad s jOtilde cent aacute uuml]timesa $ szliglOumlcopytimesdj ^eJ H aocirc a $ jj fagrave $ adfj

9J H jY_ZaringN`PJordmagrave H JUO^ H [WNih^Y s ^curreniquestYZQcO[frac34admacrjiexclNPO^JOQ H Qc[]OYadmacr e macrS]jeWFJ[PJ H aringfcQZUcedil iacute Otilde aacute sup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j $

aacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ uuml times a $ szliglOuml times j frac12sup1a $ j $fcQZUcedil iacute Otilde cent aacute uuml]timesa $ szliglOumlcopytimesdj^QVUKafrac34frac12 j $

O^ Y[Xiacute[Ph H MeJgNtildejfRJLhQsNPO ^eJLhQVUiN H QVUPJSeWFJgO^Oaring ocirc|adOuml times szlig_frac12jumlaacuteyacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ amacrreguumlStimesYa $ szliglOumlcopytimes)j frac12sup1a $ j7 uuml]timesYa $ szliglOumlcopytimes)j^QVUKafrac34frac12sup1a $ jjj $aacute uumlnotraquotimes a $ szliglOuml times szlig_frac12j $ ^QVUKaduuml times frac12j $ ad j

MeJUO NiKKfVmWQcO[ H MJ hJLJUOWVAQRJZ NPOO H MeJL[PhZJZQcO ad jeWNtildeJ5ONPfcfmtimes[Pcent H NPQcOOaring ocirc|adOumlcopytimesszlig_frac12jOcircaacute uuml raquotimes a $ szliglOumlcopytimesUcircszlig_frac12j $ uacutefrac14 5 uuml]timesYafrac34frac12 eacuteAgraveiquestsup1AacuteAtildeAcircj THORN adS]jWMJLhZJ5eacuteAgraveiquestsup1AacuteAtildeAcircyQcY H MeJUacutejOQ H QcOOgraveWNih^ Oe[PhlZaringNPf H [ aelig OumlcopytimesUcirc^MeJ_NtildejfRJLhQcNPO ^eJLhQVUiN H QVUPJQcY(O[ H JU^ ocirc raquo aagravej(QcO H MeJaumlKNiKEgraveJLhNPO^ H MeJaumlYZMNiKEgraveJauml^eJLhQU~N H QVUPJyuuml raquotimes QcY(Oe[ H JU^ frac14 frac14 ^iquest acutemicrosup1cedilFLft not [PhyYQZOslashKfcQsbLQ H mSeWNtildeJ(bM[[]YJ H MeJcopyXiacute[]fcfR[WQcO[_U~NihQsN H QR[]OaeligQcO H MeJKhZ[B[SXaring$ aagravejaacute $ agrave3frac12sup1a $ j^MJiexclKh[[SXZaringNm NPfcYZ[IacutecentEgraveJiexcl^JUPJUfR[PKEgraveJU^WiexclQ H MZaring[PhZJ_[PJUOJLhNPfUiNihQcN H QR[]OYFYjbM NPYaring $ aagravejaacuteAacuteAgravea $ szligYagravejWQ H MAcircAgrave`NOslashYYZOslash[B[ H MXiacutejOb H QR[]ONPO^AcircAgravea szligYagravejcentQ ~5JUb H QVUPJS^

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ ffrac12OcircacuteIshyNT AcircE J(MNUPJ H [Otildebn[]ZOslashK-j H J H MJNtilde^QEgraveJLhZJUO HH JLhZaringY9[SXQa macr]j9QsOauml[Ph^eJLh H [Uacute[Pcent H NPQcO H MeJ

JUP[]fcj H QR[]OJBjN H QR[]O[SX H MeJ NPb H QUPJ bn[]O H []jehX[Ph H MeJ ^JUYZbnhQRK H [PhdYaumlcentNPYJU^Oacute[]OH MeJ(bn[U~NihQsNPObnJ ZaringN H hQVktimes^eJ H JLhlZ QcONPO H a2Ograveh]j^OgraveMeJ(bn[]ZOslashKj H N H QR[]OaringQcYampKEgraveJLhYXiacute[PhlZOslashJU^Xiacute[Ph H MeJIacute^eJUYZbnhQRK H [Ph_uuml thorn timesOslash yuml ^ q centUWQR[]jYZfmSeN YZQZ QcfcNihbn[]ZOslashKj H N H QR[]OabLNPOacent=JIacute^e[]OeJXiacute[PhOcircuuml thorn UgraveUcircUacuteUuml yuml ^ JiexclbLNPOaeligJkBKhJUYZYOcircuuml thorn timesOslash yuml NPYyNUacutebn[]ZTcent-QcON H QR[]Oaelig[SXgtXiacutejOb H QR[]OYamp^eJLKEgraveJUO^QcOF[[]O H MJOtildehZJ[]QR[]OwOuml timesOslash aring

uumlgtthorn times Oslash yuml a2atildeltszligaumlgtszligYagravejaacute`Ograveoacute m thorn timesOslash yumlaIgraveagrave thorn timesOslash yumlAtilde j cent ocirc adjWMJLhZJordmaacuteAuml85eWiexclQ H MAring8 H MeJordfXqjOb H Qc[]O QcO H h[B^jbnJU^ QcOpounda2Ograveh]je-NPO^aringm thorn timesOslash yuml aacute agrave thorn timesOslash yuml agrave thorn timesOslash yumlcent agrave thorn timesOslash yuml agrave thorn timesOslash yumlAElig agrave thorn times Oslash yumlCcedil agrave thorn timesOslash yumlEgrave agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlEgrave j cent agrave thorn times Oslash yumlcent aIgraveagrave thorn timesOslash yumlCcedil j cent agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlAElig j centWQ H MOaring EFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFH

agrave thorn timesOslash yuml aacute w$ thorn yuml aOtilde S times Oslash j cent atilde aumlagrave thorn timesOslash yumlcent aacute w$ thorn yuml aOtildeOgravecent Scenttimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yuml aacute w$ thorn yuml aOtildeS Stimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yumlAElig aacute w$ thorn yuml aOtilde S times Oslash jaOtildeOgravecent ScenttimesOslash j atilde aumlagrave thorn timesOslash yumlCcedil aacute w$ thorn yuml aOtilde S times Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlEgrave aacute w$ thorn yuml aOtilde cent S centtimes Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlAtilde aacute w$ thorn yuml atilde auml O^ Y[ H MJordfXiacutejOb H QR[]OY aelig thorn timesOslash yumlauml MNUPJ H MeJgXiacute[]fcfR[WiexclQcO[aeligJkBKhZJUYZYZQR[]OYaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

aelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlcent aacute aOtilde cent S centtimesOslash j centaelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlAElig aacute aOtilde S timesOslash jaOtilde cent S centtimesOslash jaelig thorn times Oslash yumlCcedil aacute aOtilde S timesOslash jaOtilde S timesOslash jaelig thorn times Oslash yumlEgrave aacute aOtildeOgravecent ScenttimesOslash jaOtilde13 StimesOslash jaelig thorn times Oslash yumlAtilde aacutemiddotf

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBnot h[]Z H MeJUYJaumlJkWKhZJUYYZQR[]OYeWFJOtildeJUNPYZQcfm ^eJU^jbnJ H MN H aring

$ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde aumlregaacute sEacutefrac12poundEcirc iuml

J H MeJUO MNUPJ H [Tbn[]ZaringKj H J H MeJ H JLhlZaringY eacute thorn times Oslash yumlauml XiacutehZ[]Z H MeJJkWKhZJUYZYQR[]OYamp[SXagrave thorn timesOslash yumlauml eWMQcbM fRJUNP^Y H [aringEFFFFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFFFFH

eacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideoslash aacute w$ thorn yuml uacute ouml $ordfdivideacirc uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIgrave yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H a timesOslash jjeacute thorn timesOslash yumlcent aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideacirc

aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIcirc yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideEuml aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideacirc thorn thorn uacute ouml $_divideIuml yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yumlAElig aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIuml aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideEuml uacute ouml $ordfdivideIuml thorn uacute ouml $_divideIcirc uacute ouml $ordfdivideIgrave yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlCcedil aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIcirc aacute w$ thorn yuml cent thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideacirc uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlEgrave aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIgrave aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideoslash uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlAtilde aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIacute aacute w$ thorn yuml thorn +ETH ouml $_dividethorn uacute ouml $ordfdivideIacute yuml Iuml 8 raquo aq^J H a timesOslash jj

O^centmJkWKhZJUYZYZQsO[ H MeJbn[UiNihQcNPObnJZaringN H hQVkpoundWQ H M H MJregXqjOb H QR[]OYagrave thorn timesOslash yumlauml NPYXiacute[]fcfR[WQcO[aring

timesOslashlaquoaacute 1NtildeNtildeNtildeNtildeNtildeNtilde3uacute ouml $ordfdivideoslashuacute ouml $ordfdivideIacute uacute ouml $_divideIumluacute ouml $_divideIacute uacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIumluacute ouml $ordfdivideIacute uacute ouml $_divideacircuacute ouml $_divideIacute uacute ouml $ordfdivideIgraveuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacute uacute ouml $_divideIgraveuacute ouml $_divideIacute uacute ouml $ordfdivideEumluacute ouml $ordfdivideIacute

6OgraveOgraveOgraveOgraveOgraveOgrave7 J H MJUO^eJU^jbnJSaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

eacute thorn times Oslash yuml aacute a fj thorn yuml ^eJ H aDC Ptimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlcent aacute a fj thorn centcent yuml ^eJ H aDC centcenttimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yuml aacute a fj thorn curren yuml ^eJ H aDC 4times Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlAElig aacute a fj thorn cent yuml ^eJ H aDC centtimes Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlCcedil aacute a fj thorn curren yuml ^eJ H aDC times Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlEgrave aacute a fj thorn centcurren yuml ^eJ H aDCcent4times Oslash j48 raquo aq^eJ H a timesOslash jjeacute thorn times Oslash yumlAtilde aacute amp^eJ H a timesOslash j48 raquo aq^eJ H a timesOslash jj

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ SWMJLhZJC EBtimesOslash QcY H MeJgZaringN H hdQk ^eJU^jbnJU^Xh[]ZOacutetimesOslasharingcentm YZjeKKhZJUYZYZQcOF[ H MeJyuuml UumlON hZ[WNPO^ H MJ I UumlON bn[]fcjFZaringOO^]MeJbn[]ZOslashKj H N H Qc[]OordmX[Ph H MeJ^eJUYZbnhdQRK H [Ph|uuml thorn UgraveUcircUacuteUuml yuml QcYyYQZaringQcfcNihNPO^WFJ H MeJUOOslashMNUPJNPfcf H MeJ(JkWKhZJUYZYZQc[]OY H [aumlbn[]ZOslashKj H J H MeJJUP[]fcj H QR[]OaeligJjN H QR[]OXiacutehZ[]Z H MeJg[PJUOJLhNPfOXiacute[PhlZIacutejfcNta macr]j^gtMQcYcopy[]QVUPJUY H MeJTJUP[]fcj H QR[]O JBjN H QR[]Osup1admacr s j^

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBΩ out

Objects

Γ

inΩ

inΩ

Background Part

-t not Upv copy ETHEgraveIcircAtildeampAacuteiacuteCcedil=AumlFcedilAtilde5ordm|sup1Aumldraquo~AElig9AumldOgravefrac14raquoUacutesup1Igravefrac14dordm|Atilde

Ω

Ω out (τ)Ω

(τ)in

N

Γ(τ)

Ω

N

v

w

N

-t not Upv ETHEgraveIcircAtildeyEcircAumldIgravefrac14dsup1raquo~AEliggfrac14raquoiEcircAacuteIcircAtilde$AcircnAtilde5AgraveAacuteAumlcedilAEliggsup1raquoUAcircnAumldfrac12AcircnAtildeEcircsup1raquoiexclAacuteIcirc~Atilde$EcircAtildecedilsup1Acirc|frac14ZAacutesup1Aumldraquo

uumlnyacutenthornnyumll13YSordmY_F2ordf

yenKbrvbarsect =4 acirc $ Smacr

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 Atilde|IumligraveAacuteAtildecedil4frac14ZAacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvyzU eacuteWsup1ordm|AringcedilAtilde5AEligfrac14iquest Eacuteiquest AgraveJ]iUumlAcircnAumldfrac12AringAacutesup1Auml|raquoOtildeAumlOgraveeAacuteIcirc~Atildeyfrac14dAgrave Aacutesup1Acirc|Atilde0AgraveAuml|raquoLAacuteAuml|AringcedilIgravefrac14raquoifrac14ordm|AtildeEcircUacuteEacuteLfrac34AacuteIcirc~AtildefTHORN$Uuml v qzqwsup1raquo~Agrave5frac12AringiEcircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquoifrac14frac12ampAacuteAtildecedilIgrave(AElig5IumlgeacuteWsup1ordm|AringcedilAtilde5AEligOtildeEcirc]iquest Atildediquest Ograve] g sup1AEligwAringifrac14frac12sup1Ocirc5frac14Aacutesup1Auml|raquo`AumldOgrave0AacuteIcirc~AtildeTAgrave5AumldcedilwcedilAtilde5AEligwOumlPAumldraquoiEcircsup1raquoordmAcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 OgraveuAring~raquoAgraveAacutesup1Auml|raquosup1raquo~Agrave5frac12Aring~Ecircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquo~frac14dfrac12ampAacuteAtildecedilIgrave(AEligraquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirc EacutePAtildeAacuteiacuteCcedil=Atilde5Atilde5raquo ugrave frac14draquoiEcirc divide JUiquestAEligwAring~Agrave4IcircTAacuteIcirc~frac14Aacute$AacuteIcircAtilderaquo~Atilde5ordm|frac14Aacutesup1AcircnAtildeAcircdfrac14dfrac12AringAtilde5AElig0frac14cedilAtildefrac12AumlCcedilEgraveAtildecedilyAacuteIcirc~frac14draquo uacutedivide Uacutefrac14raquoiEcircaumlAacuteIcirc~AtildeOumlPAumldAEligwsup1Aacutesup1AcircnAtilde(Aumldraquo~Atilde5AEligyfrac14ZcedilAtilde(Icirc~sup1ordm|IcircAtildecedilAacuteIcircifrac14raquo uacuteZdivide Iuml

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

Ecirc]Iumligraveraquo~sup1currenAacutesup1frac14dfrac12BAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 Atilde|IumligraveAacuteAtilde cedil4frac14Aacutesup1Auml|raquo ugravedugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not Upv ucirc eacuteWsup1ordmdAringcedilAtilde5AEligtimesfrac14iquest Eacuteiquest AgraveJ]ampUumlAcirc|Auml|frac12AringAacutesup1Auml|raquoAumlOgrave(AacuteIcirc~Atildearingfrac14AgraveAacutesup1AcircnAtildeOslashAgrave5Auml|raquoLAacuteAumldAringcedilIacuteIgravefrac14draquoifrac14ordm|AtildeEcirc`EacuteUfrac34AacuteIcircAtildeOcircfTHORN$Uumlv q w iquestiexclCcedilgsup1currenAacuteIcirc~AumldAringAacuteAacuteIcirc~Atildefrac14dEcirc~Ecircsup1Aacutesup1Aumldraquoifrac14dfrac12TAacuteAtildecedilIgrave(AElig5IumliexcleacuteWsup1ordm|AringcedilAtildeAElig Ecirc]iquest Atildediquest Ograve] g sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo AumlOgraveaeligAacuteIcirc~AtildeAgraveAumldcedilwcedilAtildeEumlAEligwOumlPAuml|raquo~Ecircsup1raquo~ordm AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 OgraveregAring~raquo~Agrave Aacutesup1AumldraquoeumlCcedilgsup1currenAacuteIcirc~Auml|AringAacuteIacuteAacuteIcircAtilde frac14|Ecirc~Ecircsup1currenAacutesup1Aumldraquoifrac14frac12FAacuteAtildecedilIgrave(AElig v raquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirceumlAEligwAring~Agrave4Icirc AacuteIcirc~frac14AacuteIgravefrac14icirc vOOtilde wpOumldivide z w Iuml

uumlnyacutenthornnyumll13YSordmY_F2

S $amp)(+-)013021+345627893lt=gt9A6CB

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIumligravesAacuteAtildecedil4frac14Aacutesup1Aumldraquogt ugrave|ugrave AgravedIumlieacuteWsup1raquoifrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12Acirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 AtildedIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIumlieacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvtimesLg sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo(AumldOgravePAacuteIcirc~AtildeAtildeAcircnAuml|frac12AringAacutesup1AumldraquoAumldOgravePAacuteIcircAtildeEgraveAgrave5Auml|raquoLAacuteAumldAringcedil-frac14draquo~EcircNtildeAacuteIcirc~AtildeEgraveAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 v Ccedilgsup1AacuteIcircAuml|AringAacuteAacuteIcircAtildeEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircFAacuteAtilde cedilIgrave w OgraveregAumldcedilEgraveAacuteIcircAtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoAumlOgraveAacuteIcircAtilde9Ograveufrac14dAgrave5AtildeAring~AEligwsup1raquo~ordmyAacuteIcirc~Atilde9Agrave5AumlZAcirc|frac14Zcedilsup1frac14draquo~AgraveAtildeIgravefrac14Aacutewcedilsup1currenicirc]Iuml

frac14Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcircnAtilde EacuteIumligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 v AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde w Agrave|Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacutefrac34 v Acircdfrac14cedilsup1frac14draquoAgrave5Atilde w-t not Upv h=AumldIgrave(Oumlifrac14cedilsup1AEligwAumldraquoOtildeAumldOgraveAacuteIcirc~Atilde$sup1raquo~sup1currenAacutesup1frac14dfrac12eAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34iexclAgrave5Auml|Igrave(OumlAringAacuteAtildeEcircAringAEligwsup1raquo~ordmAacuteIcirc~Atilde$AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde0Igravefrac14Aacutewcedilsup1currenicircv iordmdAringcedilAtildeFEacute w AacuteAumliexclAacuteIcircAtildeAuml|raquoAtildeFAgrave5AumldIgrave(Ouml~AringAacuteAtildeEcircTAringAEligwsup1raquo~ordmiexclAacuteIcircAtildeFAcircdfrac14cedilsup1frac14draquoAgrave5Atilde v ~ordm|AringcedilAtildeFAgrave w OgraveregcedilAumldIgrave AacuteIcirc~AtildeNtildeAEligfrac14dIgrave(Atildesup1raquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcirc|Atilde v iordmdAringcedilAtilde$frac14 w Iuml

uumlnyacutenthornnyumll13YSordmY_F2_a

yenKbrvbarsect =4 acirc $ ]z

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv Oslash| THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5AtildeccediliacuteAtildecedilsup1UgraveUegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_o

Si $amp)(+-)013021+345627893lt=gt9A6CB

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv ordf THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5Atildeccedilqfrac14dUgraveUsup1currenfrac34LAumldegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_y

RR-0114-SJEHANpdf
  • wwwi3sunicefr
    • httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf
Page 4: LABORATOIRE INFORMATIQUE, SIGNAUX ET SYSTEMES DE …mh/RR/2001/liste-2001.pdf · 2002. 6. 27. · [Dir01] DIRAT L. “Outils pour des Mathématiques Interactives et Distribuées”

LABORATOIRE I3S Les Algorithmes Euclide B ndash 2000 route des Lucioles ndash BP 121

06903 Sophia Antipolis Cedex ndash Teacutel (33) 492 942 701 ndash Teacuteleacutecopie (33) 492 942 898 httpwwwi3sunicefrI3SFR Pour tout renseignement srsquoadresser agrave Micheline Hagneacutereacute Teacutel (33) 492 942 704 ndash email mhi3sunicefr

[Cou01] COUDERT D

ldquoAlgorithmique et optimisation de reacuteseaux de communications optiquesrdquo Thegravese de doctorat mention Sciences Pour lrsquoIngeacutenieur Universiteacute de Nice-Sophia Antipolis Deacutecembre 2001

[Cre01] CRESCENZO P

ldquoOFL Un modegravele pour parameacutetrer la seacutemantique opeacuterationnelle des langages agrave objets - Application aux relations inter-classesrdquo Thegravese de doctorat mention Informatique Universiteacute de Nice-Sophia Antipolis Deacutecembre 2001

[Cue01] CUESTA F

ldquoSynthegravese des ressources de communication pour la conception de systegravemes embarqueacutes temps reacuteel flots de donneacuteesrdquo Thegravese de doctorat mention Informatique Universiteacute de Nice-Sophia Antipolis Octobre 2001

[Dir01] DIRAT L

ldquoOutils pour des Matheacutematiques Interactives et Distribueacuteesrdquo Thegravese de doctorat mention Informatique Universiteacute de Nice-Sophia Antipolis Janvier 2001

[Far01] FARREacute J

ldquoSur quelques aspects theacuteoriques et pratiques de la compilationrdquo Habilitation agrave Diriger des Recherches Sciences de lrsquoIngeacutenieur Universiteacute de Nice-Sophia Antipolis Deacutecembre 2001

[Jal01] JALOBEANU A

ldquoModegraveles estimation bayeacutesienne et algorithmes pour la deacuteconvolution drsquoimages satellitaires et aeacuteriennesrdquo Thegravese de doctorat mention Sciences pour lrsquoIngeacutenieur Universiteacute de Nice-Sophia Antipolis Deacutecembre 2001

[Muh01] MUHAMMAD W

ldquoEstimation de retards de facteurs drsquoeacutechelle et de variations de forme de signaux vectoriels application aux signaux biomeacutedicauxrdquo Thegravese de Doctorat Sciences mention ldquoElectroniquerdquo Universiteacute de Nice-Sophia Antipolis 9 Feacutevrier 2001

[Sto01] STOICA R

ldquoProcessus Ponctuels pour lrsquoExtraction de Reacuteseaux Lineacuteiques dans les Images Satellitaires et Aeacuteriennesrdquo Thegravese de Doctorat Sciences mention ldquoInformatiquerdquo Universiteacute de Nice-Sophia Antipolis 9 Feacutevrier 2001

LABORATOIRE I3S Les Algorithmes Euclide B ndash 2000 route des Lucioles ndash BP 121

06903 Sophia Antipolis Cedex ndash Teacutel (33) 492 942 701 ndash Teacuteleacutecopie (33) 492 942 898 httpwwwi3sunicefrI3SFR Pour tout renseignement srsquoadresser agrave Micheline Hagneacutereacute Teacutel (33) 492 942 704 ndash email mhi3sunicefr

Rapports de Recherche ndash Rapports Techniques RR 00-01 CAPOUILLEZ A CHIGNOLI R CRESCENZO P LAHIRE P

ldquoHow to Improve Persistent-Object Management using Relationship Information rdquo Rapport de Recherche I3SRR--2000-01--FR Mai 2000 14 pages

RR 00-02 CAPOUILLEZ A CHIGNOLI R CRESCENZO P LAHIRE P

ldquoGestion des objets persistants gracircce aux liens entre classesrdquo Rapport de Recherche I3SRR--2000-02--FR Avril 2000 10 pages

RR 00-03 CRESCENZO P PAQUELIN J-L

ldquoInfeacuterence de type et langages agrave objets de classesrdquo Rapport de Recherche I3SRR--2000-03--FR Feacutevrier 2000 10 pages

RR 00-04 PRONZATO L

ldquoExperimental design with random regressors at the design stagerdquo Research Report I3SRR--2000-04--FR March 2000 13 pages

RR 00-05 CAPOUILLEZ A CHIGNOLI R CRESCENZO P LAHIRE P

ldquoModeling hypergeneric relationships between types in XMLrdquo Research Report I3SRR--2000-05--FR March 2000 9 pages

RR 00-06 ANDREacute C PEacuteRALDI-FRATI M-A

ldquoBehavioral Specification of a Circuit using SyncCharts A Case Studyrdquo Research Report I3SRR--2000-06--FR March 2000 9 pages

RR 00-07 CAPOUILLEZ A CHIGNOLI R CRESCENZO P LAHIRE P

ldquoTowards a More Suitable Class Hierarchy for Persistent Object Managementrdquo Rapport de Recherche I3SRR--2000-07--FR Mai 2000 9 pages

RR 00-08 PRONZATO L THIERRY E

ldquoA Minimum-Entropy Estimation for Regression Problems with Unknown Distribution of Observation Errorsrdquo Research Report I3SRR--2000-08--FR June 2000 14 pages

RR 00-09 GRELLIER O COMON P

ldquoAnalytical Blind Channel Identificationrdquo Research Report I3SRR--2000-09--FR June 2000 25 pages

RR 00-10 CAPOUILLEZ A CHIGNOLI R CRESCENZO P LAHIRE P

ldquoHyper-geacuteneacutericiteacute pour les langages agrave objets le modegravele OFLrdquo Rapport de Recherche I3SRR--2000-10--FR Septembre 2000 16 pages

RR 00-11 ANDREacute Ch

ldquoSynchronous Interface Behabior - Syntax and Semanticsrdquo Rapport de Recherche I3SRRmdash2000-11mdashFR Deacutecembre 2000 17 pages

RR 00-12 PRONZATO L THIERRY E

ldquoSequential Experimental Design and Response Optimisationrdquo Rapport de Recherche ndeg I3SRR--2000-12--FR Deacutecembre 2000 12 pages

RR 00-13 JEHAN-BESSON S BARLAUD M AUBERT G

ldquoEulerian Region-Based Active Contours for Segmentation and Tracking of Non-Rigid Video Objectsrdquo Rapport de Recherche ndeg I3SRR--2000-13--FR Deacutecembre 2000

LABORATOIRE I3S Les Algorithmes Euclide B ndash 2000 route des Lucioles ndash BP 121

06903 Sophia Antipolis Cedex ndash Teacutel (33) 492 942 701 ndash Teacuteleacutecopie (33) 492 942 898 httpwwwi3sunicefrI3SFR Pour tout renseignement srsquoadresser agrave Micheline Hagneacutereacute Teacutel (33) 492 942 704 ndash email mhi3sunicefr

RR 00-14 MUHAMMAD W RIX H MESTE O LIEBERT A

ldquoModeacutelisation du Test drsquoOcclusion en Doppler-Laserrdquo Rapport de Recherche ndeg I3SRR--2000-14--FR Deacutecembre 2000 7 pages

RR 00-15 MUHAMMAD W MESTE O RIX H

ldquoComparison of Single and Multiple Time delay Estimators Application to Muscle Fiber Conduction Velocity Estimationrdquo Research Report I3SRR-2000-15--FR December 2000 30 pages

RR 01-01 MIRBEL I DE RIVIEgraveRES V

ldquoUML ad-hoc une deacutemarche modulable drsquoanalyserdquo Rapport de Recherche I3SRR-2001-01--FR Janvier 2001

RR 01-02 FARREacute J FORTES GALVEZ J

ldquoBounded-Connect Noncanonical Discriminating-Reverse Parsingrdquo Research Report I3SRR--2001-02--FR March 2001

RR 01-03 FORTEgraveS GALVEZ J FARREacute J

ldquoGeneralized e-Skip Discriminating-Reverse Parsing on Graph-Structured Stackrdquo Research Report I3SRR--2001-03--FR March 2001

RR 01-04 CAPOUILLEZ A CRESCENZO P LAHIRE P

ldquoOFL lrsquoHyper-Geacuteneacutericiteacute au service du Meacuteta-Programmeur Application agrave Javardquo Rapport de Recherche I3SRR--2001-04--FR March 2001 12 pages

RR 01-05 MIRBEL I DE RIVIEgraveRES V

ldquoTowards a UML Profile for Building on Top of an Existing Applicationrdquo Research Report I3SRR--2001-05--FR March 2001

RR 01-06 CRESCENZO P

ldquoOFL les relations et descriptions drsquoEiffel et de Javardquo Rapport de Recherche I3SRR--2001-06--FR Avril 2001 24 pages

RR 01-07 CAPOUILLEZ A CRESCENZO P LAHIRE P

ldquoSeparation of Concerns in OFLrdquo Research Report I3SRR--2001-07--FR Avril 2001 9 pages

RR 01-08 FRANCISCI D

ldquoData Mining et Algorithmes Eacutevolutionnairesrdquo Rapport de Recherche I3SRR--2001-08--FR Mai 2001 46 pages

RR 01-09 FARREacute J FORTEgraveS GALVEZ J

ldquoBounded-Connect Noncanocical Discriminating-Reverse Parsingrdquo Research Report I3SRR--2001-09--FR March 2001 13 pages

RR 01-10 FORTEgraveS GALVEZ J FARREacute J

ldquoGeneralized e-Skip Discriminating-Reverse Parsing on Graph-Structured Stackrdquo Research Report I3SRR--2001-10--FR March 2001 9 pages

RR 01-11 MICHEL C RUEHER M LEBBAH Y

ldquoGraphical user Interfaces with Biglookrdquo Research Report ndeg I3SRR--2001-11--FR Septembre 2001 16 pages

LABORATOIRE I3S Les Algorithmes Euclide B ndash 2000 route des Lucioles ndash BP 121

06903 Sophia Antipolis Cedex ndash Teacutel (33) 492 942 701 ndash Teacuteleacutecopie (33) 492 942 898 httpwwwi3sunicefrI3SFR Pour tout renseignement srsquoadresser agrave Micheline Hagneacutereacute Teacutel (33) 492 942 704 ndash email mhi3sunicefr

RT 01-12 SERRANO M Ed

ldquoSCHEME 2001 - Workshop Proceedings - Second Workshop on Scheme and Functional Programming September 2 2001 Florence Italy Technical Report ndeg I3SRT--2001-12--FR Septembre 2001 73 pages

RR 01-13 GALLEacuteSIO E SERRANO M

ldquoGraphical user Interfaces with Biglookrdquo Research Report ndeg I3SRR--2001-13--FR Septembre 2001 38 pages

RR 01-14 JEHAN-BESSON S BARLAUD M AUBERT G

ldquoDREAM2S Deformable Regions driven by an Eulerian Accurate Minimization Method for image and video Segmentationrdquo Rapport de Recherche ndeg I3SRR--2001-14--FR Novembre 2001 38 pages

RR 01-15 COLLET P

Fiabiliteacute des systegravemes agrave objets persistants les assertions persistent Rapport de Recherche ndeg I3SRR--2001-15--FR Janvier 2001 16 pages

RR 01-16 COLLET P ldquoOn Contract Monitoring for the Verification of Component-Based Systems Rapport de Recherche ndeg I3SRR--2001-16--FR Octobre 2001 5 pages

RR 01-17 COLLET P ldquoFunctional and Non-Functional Contracts Support for Component-Oriented Programming Rapport de Recherche ndeg I3SRR--2001-17--FR Octobre 2001 3 pages

mh
I3SRR--2001-14--FR

httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf

Document seacutecuriseacute incorporeacute

Le fichier httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf est un document seacutecuriseacute incorporeacute dans le preacutesent document Cliquez deux fois sur le bouton pour lafficher

httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf [27062002 110813]

LABORATOIRE

INFORMATIQUE SIGNAUX ET SYSTEgraveMESDE SOPHIAANTIPOLIS

UMR 6070

DREAM2S DEFORMABLE REGIONS DRIVEN BY ANEULERIAN ACCURATE M INIMIZATION METHOD FOR

IMAGE AND VIDEO SEGMENTATION

Stephanie JEHAN-BESSON Michel BARLAUD Gilles AUBERT

Projet CREATIVE

RapportderechercheI3SRRndash2001-14ndashFR

novembre 2001

LABORATOIRE I3S LesAlgorithmes EuclideB ndash 2000routedesLuciolesndash BP 121ndash06903Sophia-Antipolis Cedex Francendash Teacutel (33) 492942701ndash Teacuteleacutecopie (33) 492942898

httpwwwi3sunicefrI3SFR

REacuteSUMEacute

MOTS CLEacuteS Contours actifsbaseacutes reacutegions optimisation de domaine segmentation non superviseacutee deacutetection de visage deacuteter-minant dela matricedecovariance

ABSTRACT Originally active contours wereboundary-basedmethods They weredriven towardstheedgesof animagefromtheminimization of a criterionwith only boundary-basedtermsThemainpurposeof region-basedactive contours is to maketheactivecontour evolveusinginformationontheregionsin addition to theclassicalboundary-basedinformation

We proposeherea generalEulerian framework for region-basedactive contours namedDREAM2SWe introducea generalcriterion includingbothregion-basedandboundary-basedtermswheretheinformationontheregionsis embeddedin afunctionnameddescriptor Theoriginality of thiswork is twofold Firstly weproposeto useshapeoptimization principlesto computetheevolution equationof theactivecontour thatwill makeit evolveasfastaspossibletowardsaminimumof thecriterionSecondlywe take into account thevariationof thedescriptors during thepropagationof thecurve Indeed a descriptor maybegloballyattachedto the region andthusregion-dependentIt happens whenstatisticalfeatures of a region like for example the meanor thevariance of a region areselectedasdescriptors We show that thedependenceof thedescriptors on the region inducesadditional termsin theevolution equationof theactive contour thathave not beenpreviously computed DREAM2S gives aneasyway to takesuchadependenceinto account andto computetheresultingadditional terms

Experimental resultspoint out the importanceof the additional termsto reacha true minimum of the criterion andso toconverge on accurate results The covariancematrix determinant appears to be a very relevant tool for homogeneous colorregionssegmentationAs anexample it hasbeensuccessfullyappliedto facedetectionin realvideosequences

KEY WORDS Region-basedactivecontoursshapeoptimizationunsupervisedsegmentationfacedetection covariancematrixdeterminant

13 $ amp()+$-0123(4-5766-398( 1 lt=98ampgt8BA(0)CD ampE()gt+F)-0-amp=$8B98amp

GBHBIJLKMNPOQRJTSPJUMNPOWV4XFJUYZY[]ONPO^`_aQcbdMeJUfgXNihfcNPj^kBlnmodpqldrsodtupwvyx z|~B9iZ]nn pqodUrvFLv ke~tRo|v n|L zio UtclF9~rRt o| tuBpwldi4v vld~cmldp ldZP=tRz|U~tR v p QsfcfRJUY iexcljcent=JLh HkBlnmodpqldrsodtupwvFpoundcurren0]yenamptsv nod$brvbarv 9BiZPampUsect9lpwTumll| pqodvnncopynordf tc4v-vwLvwlaquo Bpwldi4vnot ldm4v p r=shyldrreg~Utc4v p

macrdegWplusmn5sup25sup3Zacuteimicro|sup2|para7middotcedilsup1ordm|sup1raquo~frac14dfrac12frac12currenfrac34Liquestefrac14dAgrave Aacutesup1Acirc|Atilde(Agrave5Auml|raquoLAacuteAuml|AringcedilAElig$CcedilEgraveAtildecedilAtilde(EacutePAumldAring~raquoiEcircfrac14cedilwfrac34UEumlsEacuteifrac14AEligwAtildeEcircIacuteIgrave(AtildeAacuteIcircAumlUEcircAElig5IumlETHEgraveIcirc~Atilde frac34TCcedil=AtildecedilAtildeEcirccedilsup1AcircnAtilde5raquoNtildeAacuteAumlZCcedilEgravefrac14cedil4EcircAElig=AacuteIcirc~AtildegAtildeEcircordm|Atilde5AEligEgraveAumlOgravefrac14draquosup1Igravefrac14dordm|AtildegOgraveregcedilAumldIgraveOacuteAacuteIcircAtildeIgrave(sup1raquosup1Igrave(sup1Ocircfrac14ZAacutesup1Auml|raquo(AumldOgravefrac14yAgravecedilsup1currenAacuteAtildecedilsup1Auml|raquo(Ccedilgsup1currenAacuteIcircAuml|raquo~frac12currenfrac34EacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircOtildeAacuteAtildecedilIgrave(AElig5IumlETHEgraveIcirc~Atilde(Igravefrac14sup1raquotimesOuml~AringcedilOumlPAuml|AEligwAtildeAumlOgraveEgravecedilAtilde5ordmdsup1AumldraquoEumlsEacuteifrac14AEligwAtildeEcircOslashfrac14dAgrave Aacutesup1Acirc|AtildeAgrave5Auml|raquoLAacuteAumldAringcedilAEligysup1AEligyAacuteAumliexclAacuteAumlIgravefrac14dUgravenAtilde9AacuteIcirc~Atildefrac14dAgraveAacutesup1AcircnAtilde$Agrave5AumldraquoLAacuteAuml|AringcedilgAtildeAcircnAuml|frac12AcircnAtildeampAringAEligwsup1raquo~ordmFsup1raquoOgraveuAumldcedilIgravefrac14ZAacutesup1Auml|raquoUacuteAumldraquoiexclAacuteIcirc~AtildecedilAtilde5ordm|sup1Auml|raquoAElig5iquestisup1raquoUacutefrac14dEcirc~Ecircsup1Aacutesup1AumldraquoiexclAacuteAumlNtildeAacuteIcircAtildeAgrave5frac12frac14dAEligwAEligwsup1Agravefrac14frac12WEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircsup1raquoOgraveregAumldcedilIgravefrac14Aacutesup1AumldraquoIuml

Ucirc Atilde$OumlcedilAumldOumlPAuml|AEligwAtildeyIcirc~Atilde cedilAtildeyfrac14ordm|Atilde5raquoAtildecedil4frac14dfrac12BUumlAringfrac12Atilde cedilsup1Yacutefrac14raquoUacuteOgraveregcedil4frac14Igrave(AtildeCcedilEgraveAumlcedilUgraveiexclOgraveuAumlcedilcedilAtildeordm|sup1Auml|raquoEumlEacute~frac14dAEligwAtildeEcircOtildefrac14AgraveAacutesup1AcircnAtildeyAgrave5Auml|raquoLAacuteAumldAringcedilAEligraquoifrac14Igrave(AtildeEcircIacuteTHORNampszligUumlagraveampaacuteOtildeacirc5atildePIuml Ucirc Atilde(sup1raquoLAacutewcedilAumlUEcircAringAgrave5Atildefrac14aumlordmdAtilde5raquo~Atilde cedil4frac14dfrac12EgraveAgravecedilsup1currenAacuteAtildecedilsup1Aumldraquoiquestesup1raquo~Agravefrac12Aring~Ecircsup1raquo~ordmaumlEacutePAumlAacuteIcirctimescedilAtilde5ordm|sup1AumldraquoEumlsEacuteifrac14AEligwAtildeEcircfrac14draquo~EcirctimesEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircTAacuteAtildecedilIgrave(AElig5iquestBCcedilgIcircAtildecedilAtildeAacuteIcircAtilde(sup1raquoOgraveuAumlcedilIgravefrac14Aacutesup1Auml|raquoaringAumldraquoaeligAacuteIcirc~Atilde(cedilAtilde5ordm|sup1Aumldraquo~AEligFsup1AEligNtildeAtilde5IgraveFEacutePAtildeEcircEcircAtildeEcircTsup1raquofrac14OgraveregAring~raquo~Agrave Aacutesup1AumldraquoIacuteraquo~frac14dIgrave(AtildeEcircccedilqEcircAtilde5AEligwAgravecedilsup1OumlAacuteAumlcedilegraveIumlBETHEgraveIcirc~AtildeAumlcedilsup1ordm|sup1raquoifrac14frac12sup1currenAacutefrac34aeligAumldOgrave-AacuteIcirc~sup1AEligampCcedilEgraveAumlcedilUgraveaumlsup1AEligampAacuteCcedilEgraveAumlOgraveuAuml|frac12Ecirc]IumlWeacuteWsup1currencedilAEligqAacutefrac12currenfrac34LiquestCcedil=AtildeOumlcedilAumldOumlPAuml|AEligwAtildeyAacuteAumlAringAEligwAtildeNtildeAEligwIcirc~frac14dOumlPAtilde0Auml|OumlAacutesup1Igrave(sup1Ocircfrac14ZAacutesup1Auml|raquoaumlOumlcedilsup1raquo~Agravesup1Oumlfrac12Atilde5AEligAacuteAumlAgrave5AumldIgrave(Ouml~AringAacuteAtildeampAacuteIcircAtildeNtildeAtildeAcircnAuml|frac12AringAacutesup1AumldraquoTAtilde5ecircUAring~frac14Aacutesup1Auml|raquoOtildeAumlOgraveAacuteIcirc~Atilde9frac14dAgrave Aacutesup1Acirc|AtildeAgrave5AumldraquoLAacuteAuml|AringcedilAacuteIcircifrac14ZAacute=Ccedilgsup1frac12frac12PIgravefrac14dUgravenAtildegsup1currenAacute-Atilde5AcircnAuml|frac12AcircnAtildefrac14dAEligOgraveRfrac14AEligqAacutegfrac14dAElig-OumlPAuml|AEligwAEligwsup1Eacute~frac12AtildeAacuteAumlCcedilEgravefrac14cedil4EcircAEligEgravefrac14yIgrave(sup1raquosup1IgraveNtildeAring~IgraveeumlAumlOgraveAacuteIcirc~AtildeAgravecedilsup1currenAacuteAtildecedilsup1Auml|raquoIumliatildeAtildeAgrave5Auml|raquo~Ecircfrac12currenfrac34LiquestLCcedilEgraveAtildeampAacute4frac14UgravenAtildesup1raquoLAacuteAumlfrac14Agrave5Agrave5Auml|AringraquoLAacuteAacuteIcirc~AtildeampAcircdfrac14cedilsup1frac14Aacutesup1AumldraquoAumldOgraveBAacuteIcirc~Atilde$EcircAtilde5AEligwAgravecedilsup1OumlAacuteAumlcedilAEliggEcircAringcedilsup1raquoordmAacuteIcirc~Atilde$OumlcedilAuml|Oumlifrac14ordmnfrac14ZAacutesup1AumldraquoaumlAumldOgraveAacuteIcirc~AtildeyAgrave5AringcedilAcircnAtilde|IumligraveiacuteraquoiEcircAtilde5AtildeEcirc]iquestPfrac14(EcircAtildeAEligwAgravecedilsup1OumlAacuteAumldcedilIgravefrac145frac34EacutePAtildeyordmdfrac12AumldEacuteifrac14frac12frac12currenfrac34aumlfrac14ZAacutewAacute4frac14dAgrave4Icirc~AtildeEcircAacuteAumlAacuteIcircAtildecedilAtilde5ordm|sup1AumldraquoFfrac14raquoiEcircAacuteIcircUAring~AElig5iquestPccedilscedilAtilde5ordm|sup1AumldraquoEumlEcircAtilde5OumlPAtilderaquoiEcircAtilderaquoUAacuteegraveIumlZigraveAacuteIcircifrac14Ouml~OumlPAtilde5raquoAEligCcedilgIcirc~Atilderaquo0AEligqAacute4frac14ZAacutesup1AEligqAacutesup1Agrave5frac14dfrac12LOgraveuAtildefrac14ZAacuteAringcedilAtilde5AEligBAumldOgrave~frac14gcedilAtilde5ordmdsup1Auml|raquoiquestfrac12sup1Ugrave|AtildeFOgraveuAumlcedilFAtildeicircfrac14Igrave(Ouml~frac12AtildeNtildeAacuteIcircAtilde(Igrave(Atildefrac14draquoTAumldcedilyAacuteIcirc~AtildeFAcirc|frac14Zcedilsup1Yacutefrac14raquo~Agrave5Atilde(AumlOgrave9frac14iexclcedilAtilde5ordmdsup1AumldraquoiquestBfrac14cedilAtilde(AEligwAtilde5frac12Atilde5Agrave AacuteAtildeEcircOslashfrac14dAElig0EcircAtildeAEligwAgravecedilsup1OumlAacuteAumldcedilAElig5IumlUcirc AtildeAEligwIcircAumlCcedilAacuteIcirc~frac14AacuteyAacuteIcirc~AtildeEcircAtilde5OumlPAtilde5raquoiEcircAtilde5raquo~AgraveAtilde(AumldOgraveAacuteIcirc~AtildeEcircAtilde5AEligwAgravecedilsup1OumlAacuteAumlcedilAEligNtildeAumldraquotimesAacuteIcirc~AtildecedilAtildeordm|sup1Auml|raquoOslashsup1raquoiEcircAring~Agrave5AtildeAEligNtildefrac14dEcirc~Ecircsup1Aacutesup1Aumldraquoifrac14dfrac12AacuteAtildecedilIgrave(AElig=sup1raquoAacuteIcirc~AtildeAtilde5AcircnAuml|frac12AringAacutesup1AumldraquoAtildeecircLAring~frac14Aacutesup1Auml|raquoAumldOgraveAacuteIcirc~Atildeampfrac14AgraveAacutesup1AcircnAtildeampAgrave5AumldraquoLAacuteAuml|Aringcedil=AacuteIcircifrac14AacuteEgraveIcircifrac14AcircnAtilderaquoAumldAacuteEacutePAtildeAtilde5raquoiexclOumlcedilAtilde5AcircUsup1Auml|Aring~AEligwfrac12currenfrac34Agrave5Auml|Igrave(OumlAringAacuteAtildeEcirc]IumlTHORNampszligUumlagraveampaacuteOtildeacircatildeIacuteordm|sup1AcircnAtilde5AEligFfrac14draquoaeligAtilde5frac14dAEligqfrac34aeligCcedilEgravefrac14frac34TAacuteAumlUacuteAacute4frac14dUgrave|AtildeAEligwAringAgrave Icircaeligfrac14OtildeEcircAtilde5OumlPAtilde5raquo~EcircAtilde5raquoAgrave5Atilde(sup1raquoLAacuteAumlaumlfrac14dAgrave5Agrave5AumldAring~raquoLAacutefrac14draquo~EcircAacuteAumlAgrave5AumldIgrave(Ouml~AringAacuteAtildeAacuteIcirc~AtildecedilAtilde5AEligwAring~frac12currenAacutesup1raquo~ordmfrac14dEcirc~Ecircsup1currenAacutesup1Auml|raquo~frac14dfrac12]AacuteAtildecedilIgrave(AElig5Iuml

UumlicircOumlPAtildecedilsup1Igrave(Atilde5raquoLAacute4frac14dfrac12LcedilAtilde5AEligwAringfrac12currenAacuteAElig-OumlPAumldsup1raquoLAacute-Auml|AringAacuteAacuteIcircAtildesup1Igrave(OumlPAumldcedilwAacute4frac14draquoAgrave5AtildeAumldOgravePAacuteIcircAtildegfrac14|EcircEcircsup1currenAacutesup1Auml|raquoifrac14frac12AacuteAtildecedilIgrave(AEligeAacuteAumlcedilAtilde5frac14dAgrave4Icircfrac14AacutewcedilAring~Atilde-Igrave(sup1raquosup1IgraveFAring~IgraveAumlOgraveiAacuteIcirc~Atilde-Agravecedilsup1currenAacuteAtildecedilsup1Auml|raquo(frac14raquoiEcircyAEligwAumlAacuteAumlAgraveAuml|raquoUAcircnAtildecedilordmdAtildeEgraveAuml|raquoNtildefrac14dAgrave5AgraveAringcedil4frac14AacuteAtildeEgravecedilAtildeAEligwAring~frac12currenAacuteAElig5IumldETHEgraveIcirc~AtildeEgraveAgrave5AumlZAcircdfrac14cedilsup1frac14draquoAgrave5AtildeIgravefrac14Aacutewcedilsup1currenicirc0EcircAtilde AacuteAtildecedilIgrave(sup1raquoifrac14draquoLAacutefrac14Ouml~OumlPAtildefrac14ZcedilAEligeAacuteAumlEacutePAtildefrac14Acirc|Atildecedilwfrac34$cedilAtilde5frac12Atilde5Acircdfrac14draquoLAacuteeAacuteAumlLAuml|frac12UOgraveuAumlcedil-IcircAuml|Igrave(Aumldordm|Atilde5raquoAtilde5Auml|AringAEligeAgrave5Auml|frac12AumldcedilcedilAtilde5ordmdsup1Aumldraquo~AEligAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquoIumlagrave9AEligampfrac14raquoIacuteAtildeicircfrac14Igrave(Ouml~frac12Atilde|iquestPsup1currenAacute$Icirc~frac14dAEligampEacutePAtilde5AtilderaquoIacuteAEligwAringAgrave5Agrave5Atilde5AEligwAEligqOgraveregAring~frac12frac12currenfrac34Tfrac14dOuml~Oumlfrac12sup1Atilde5EcircaumlAacuteAumlOgraveRfrac14Agrave5Atilde(EcircAtilde AacuteAtilde5AgraveAacutesup1Auml|raquoTsup1raquocedilAtildefrac14dfrac12AcircUsup1EcircAtilde5AumlAEligwAtilde5ecircUAringAtilde5raquo~AgraveAtilde5AElig5Iuml

iumlethUntildeograve0oacute sup3ocircWplusmn|otildeszligAtildeordm|sup1Auml|raquoEumlEacute~frac14dAEligwAtildeEcircaringfrac14AgraveAacutesup1AcircnAtildeiexclAgraveAuml|raquoLAacuteAuml|AringcedilAElig5iquestAEligwIcircifrac14dOumlPAtildeiexclAuml|OumlAacutesup1Igrave(sup1Ocircfrac14ZAacutesup1Auml|raquoiquestWAring~raquo~AEligwAringOumlPAtildecedilAcircUsup1AEligwAtildeEcircOslashAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoiquestUOgraveRfrac14dAgraveAtildeyEcircAtildeAacuteAtilde5Agrave Aacutesup1Aumldraquoiquest~Agrave5AumlZAcirc|frac14Zcedilsup1Yacutefrac14raquo~Agrave5Atilde$Igravefrac14ZAacutewcedilsup1currenicircEcircAtildeAacuteAtildecedilIgrave(sup1raquoifrac14raquoLAacuteIuml

Agraveoumloslashdividedugrave|ugraveUuacute 9v vwldpq4Uacute9vop r-g nncopy copyucirc x z|iB9aumlio UtclF9~rRt o| tug]pwldi v

uumlnyacute|thornLyuml13

$amp)(+-)013021+345627893lt=gt9A6CBDFEHGIKJLMONQPltRSJT2MgtI

b H QVUPJOslashbn[]O H []jhYOtildeNihZJaeligKEgrave[WFJLhYXiacutejf H [B[]fcY5Xiacute[PhUacuteQCZaringN[PJOslashNPO^UBQc^JL[YZJ[]ZOslashJUO H N H Qc[]OO^G QsObnJ H MeJ[PhQV[]QcONPf_WF[PhY` []O YZON`PJUYbacaumlNPYZYaJ H NPfd^VegfhSiSi]jeiexclNPO Jk H JUOYQVUPJhZJUYZJUNihbMMNPYaeligcent=JLJUO7KEgraveJLhYXiacute[PhlZOslashJU^ H MN H fRJUNP^Y H [B^Nm H [ H MJjYJ[SXon5hJ[]QR[]OWVcentNPYZJU^NPb H QVUPJTbn[]O H []jehYYp^q hQV[]QcONPfsfVmSeNPb H QVUPJ bn[]O H []jehdYWFJLhZJ centEgrave[]jO^NihYmVcentNPYJU^bZOslashJ H Me[W^Yoaq jecentEgraveJLh HNPO^rcOtilde[PhdOeKhZ[PcentY H e sSs fj^ G ON`PJUYtacaumlNPYZYaeligJ H NPfd^VeufhSiSi]jeycent-NPfcfR[B[]OYoa)v[]MeJUOOefhShfj[Phw[PJL[W^eJUYZQcbNPb H QVUPJbn[]O H []jehdYxa)vNPYZJUfcfRJUY J H NPfd^VeyfhSh]zSj`NihZJOacute^hQVUPJUOH [WFNih^Y H MeJ JU^[PJUY [SXOtildeNPOQZaringN[PJS^|MeJ JUP[]fcj H QR[]OJjN H Qc[]O QcYOslashbn[]ZOslashK-j H JU^XiacutehZ[]ZNaumlbnhQ H JLhQR[]O H MN H []OfVmtimesQsObLfcj^eJUYNaumlfR[WbLNPfQcOFX[PhlZ N H QR[]Otimes[]O H MeJ(centEgrave[]jO^NihYm[SX H MeJauml[Pcent~JUb HH [ YZJ[]ZOslashJUO H ^MeJt`PJmQc^eJUNOacute[SXOtildehZJ[]QR[]OWVcent-NPYJU^ NPb H QVUPJeumlbn[]O H []jehYehY H fVmKh[PK=[]YZJU^ centma)vF[]MJUOTJ H NPfd^VefhShS[]OXqNih^OefhShje]QsY H [OtildeQcO H hZ[B^jbnJ0N_[]fR[PcentNPfBQcOXiacute[PhlZaringN H QR[]O[]O H MeJIacute^QV=JLhZJUO H hZJ[]Qc[]OY H [ YJ[]ZOslashJUO H QcOaNP^^Q H QR[]O H [ H MeJIacutecent=[]jO^NihYmVcentNPYJU^QcOFX[PhlZ N H QR[]OOe H [_ZaringN`PJ H MeJNtildeNPb H QUPJNtildebn[]O H []jehJUP[]fUPJS^iexcl[WFJUPJLhePQ H QcYgO[ H9H hQVUWQcNPfH [timesbn[]ZOslashKj H J H MeJJUP[]fcj H QR[]OaringJBjN H QR[]O [SX H MeJiexclNPb H QVUPJUacutebn[]O H []jeh H MN H WQcfsfZaringN`PJQ H JUP[]fUPJ H [WFNih^Y0NyZ QcOQZtimesjFZ[SXNTbnhQ H JLhdQR[]OOslashQcObLfcj^QcO[centEgrave[ H MOslashhZJ[]QR[]OWVcent-NPYJU^NPO^centEgrave[]jO^NihYmVcentNPYJU^ H JLhlZaringY^JUbnJUO H fmSeZaringNPOm KNiKEgraveJLhY MNUPJeumlNP^^ehZJUYYJU^ H MQsYOslashKhZ[PcentfcJZ^0 hZJUWQRJW [SXH MeJUYZJrZaringJ H Me[B^Y QsY`KhZ[PKEgrave[]YJU^1QcO G JUb^ ^ G []ZOslashJ[SX H MeJUYZJxWF[PhY`WY^e[ Oe[ Hbn[]ZOslashK-j H J H MeJ H MeJL[PhZJ H QcbLNPfJkWKhZJUYZYZQc[]O[SX H MeJUPJUfR[BbLQ H mUPJUb H [PhOtilde[SX H MeJtimesNPb H QVUPJbn[]O H []jehcentj H H MeJm bdMe[[]YZJ H MeJ ^QcYKfcNPbnJZaringJUO H H MN H WQcfcf_ZaringN`PJ H MeJbnhQ H JnVhQc[]O ^JUbnhZJUNPYJa)vMN`hNicentEgrave[Ph H m J H NPf)^VefhShSvMeJUYONPj^ J H NPfd^VefhShSh]j^ qH MeJLhWF[PhY`WYKh[PK=[]YZJ H MeJIacutebn[]ZaringKj H N H QR[]O`[SX H MeJUPJUfR[BbLQ H mUPJUb H [PhOtildecentm hZJU^jbLQcOF[ H MeJWM[]fRJOacuteKh[PcentfRJZ H [ centEgrave[]jO^NihYm QcO H J[PhdNPfcYxa)MjNPO^0jQcfcfcJSeyfhShSgampNihN~V[]QR[]Y`NPO^JLhQsbMeJSefhShSh]j[Ph`centm jYQcO[ H MeJ7fRJUPJUfTYJ H ZOslashJ H Me[W^a G NSZ Y[]OJ H NPf)^Ve sSsSs Ov(MNPONPO^$JUYZJSe sSs fj^OMeJm H MeJUOjYZJ H MeJyNtildejfRJLhVAN[PhNPO[PJJBjN H QR[]OY H [ bn[]ZOslashKj H J H MJaumlJUP[]fcj H QR[]OJjN H Qc[]OO^iexcl[WFJUPJLhe H MeJOtildeQcOXiacute[PhlZaringN H QR[]O []O H MeJauml^Q=JLhJUO H hZJ[]QR[]OYe H MN H WNtildeJaumlbLNPfsfMeJLhZJn^eJUYbnhQRK H [Phlp [SX H MeJIacutebn[PhhZJUYKEgrave[]O^QcOF[aringhZJ[]QR[]OOeKZaringNmacent=Jy[]fR[PcentNPfcfVm N HH NPbdMeJU^ H [H MeJ(hJ[]QR[]OO^S5O^eJLJU^OslashQ H [WbLbLjehYXiacute[Ph0Y H N H QcY H QcbLNPf^eJUYZbnhdQRK H [PhYampYZjbdMaringNPY H MeJ_ZOslashJUNPOOeH MeJUiNihQcNPObnJ[Ph H MJMQcY H [S[PhNSZ [SX H MeJ hZJ[]QR[]O^Q5O bLNPYJ [SXUacutejOYZjK=JLhlUBQcYZJU^YJ[]ZaringJUO H N H QR[]Oe H MeJUYZJ ^eJUYZbnhdQRK H [PhYIacuteNihZJ hZJnVJUiNPfcjN H JU^JUNPbM H QZaringJ H MeJ NPb H QVUPJbn[]O H []jehJUP[]fVUPJUYiexclNPO^aY[ H MeJmU~Nihlm^jehQcO[ H MeJIacuteKhZ[PKN[]N H Qc[]O[SX H MeJtimesNPb H QVUPJbn[]O H []jeh^yhZJUWQR[]jYWF[PhY`BYIacute[]O7hZJ[]QR[]OWVcent-NPYJU^NPb H QUPJbn[]O H []jehYaelig^e[eumlOe[ HIacuteH N`PJQcO H [ NPbLbn[]jO HaumlH MQcYKEgrave[]YZYZQRcent-fRJyUiNihQcN H QR[]Oeuml[SX H MeJaring^eJUYbnhQRK H [PhY H [bn[]ZOslashK-j H J H MeJJUP[]fcj H QR[]OJjN H QR[]O[SX H MeJTNPb H QVUPJIacutebn[]O H []jeh^ JTKhZ[PKEgrave[]YJaumlMeJLhZJaumlN[PJUOeJLhNPfNtildejfRJLhQcNPOoXiacutehNSZOslashJWF[PhY`X[PhhZJ[]QR[]OWVcentNPYZJU^NPb|V

H QVUPJbn[]O H []jehY`ONSZOslashJU^ iexcl_0 Uacute_wcent G aiexclJXiacute[PhlZaringNicent-fRJpoundJ[]QR[]OYa^ehQUPJUO centm NPONtildejfRJLhQcNPO iexclbLbLjhN H JT_aQsOQZaringQVcurrenUN H Qc[]O _aJ H Me[W^X[Ph G J[]ZOslashJUO H N H QR[]Ogtj^gtMeJiexclZaringNPQcObn[]O H hQRcentj H QR[]O[SXy[]jh_WF[PhY`aQcY H [centjQcfs^ N H MJL[PhZJ H QcbLNPfQXhdNSZOslashJWNtilde[Phl`centNPYJU^`[]O

uumlnyacute|thornLyuml13

yenKbrvbarsect =4 acirc $ YZMNiK=JT[PK H QZaringQVcurrenUN H Qc[]OKhQsObLQRKfRJUY^ Q H M YZjbM`NPO`NiKKhZ[]NPbMegtWFJIacutebLNPO hZJUNP^QsfVmH N`PJ7QcO H [ NPbLbn[]jO H`H MeJpoundUiNihQcN H QR[]O [SX H MJOacute^eJUYZbnhQcK H [PhY H MN H NihJpound[]fR[PcentNPfcfmN HH NPbdMeJU^ H [ H MeJUacuteJUP[]fVUWQcO[timeshZJ[]QR[]OYgaqbLNPfsfRJU^ hZJ[]QR[]OWV4^eJLKEgraveJUO^JUO H ^eJUYZbnhQcK H [PhYj^ JOtildeYZMe[W H MN HH MeJiexclU~NihQsN H QR[]O [SX9hZJ[]QR[]OWV4^eJLKEgraveJUO^JUO H ^eJUYZbnhQcK H [PhYF^jehQcOF[ H MeJJUP[]fcj H QR[]OOtilde[SX H MeJ0NPb H QUPJFbn[]O H []jehampQcO^jbnJUY9NP^^Q H QR[]ONPf H JLhlZaringY9QsO H MeJyJUP[]fcj H QR[]OJBjN H QR[]Oeuml[SX H MeJOslashNPb H QVUPJ bn[]O H []jeh^MeJUYZJaeligNP^^Q H QR[]ONPf H JLhlZaringYOtildeMNUPJaringOe[ H centEgraveJLJUOKhJUBQR[]jYZfVm bn[]ZOslashK-j H JU^uml^

G []ZOslashJNtildeJkeNSZOslashKfcJUY[SX-jOYZjeKEgraveJLhYUWQcYJU^TYKN H QcNPfBYJ[]ZOslashJUO H N H QR[]OOePjYZQsO[ H MeJcopyUiNihQuVNPObnJ [SX H MJOslashhZJ[]QR[]OYe9KhZ[UPJ H MeJ QZOslashKEgrave[Ph H NPObnJOslash[SX H MeJ NP^^Q H QR[]ONPf H JLhlZaringYordfXiacute[PhH MeJ(NPbLbLjehdNPbmIacute[SX=YJ[]ZOslashJUO H N H QR[]OOslashhZJUYZjf H Y^MeJNP^^Q H QR[]ONPf H JLhlZ YZIacutejY H O[ H centEgraveJXiacute[PhY[P[ HH JUO QcO [Ph^eJLh H [laquo[PJ HH MeJ_XqNPY H JUY H NPb H QUPJUacutebn[]O H []jeh(JUP[]fcj H QR[]O H [WNih^Y(NZaringQsOQZtimesjFZoslash[SX H MeJaumlbnhdQ H JLhQR[]OO^not QcONPfcfVmSe H MeJbn[UiNihQcNPObnJbZ N H hQk ^eJ H JLhZaringQcONPO H NiKKEgraveJUNihY H [ cent=JNrUPJLhYmhZJUfcJU~NPO HH [B[]fOX[PhMe[]ZOslash[S[PJUOeJL[]jYbn[]fR[PhiexclhZJ[]QR[]OYYZJ[]ZOslashJUO H N H Qc[]OO^gtMQcY H [[]fQcYYZjbLbnJUYZYXqjfcfVm NiKKfcQRJU^ H [XqNPbnJIacute^eJ H JUb H Qc[]O []OhZJUNPfUBQc^JL[aringYJjJUObnJUY^MeJa^eJ H NPQcfcJU^ [UPJLhYUBQcJW []O hZJ[]QR[]OeVcentNPYJU^ NiKKhZ[]NPbMJUY QsYaringKhZ[PKEgrave[]YJU^ QcOG JUb^ eshyWMQcfRJOslash[]jeh0jfRJLhdQcNPOumlXiacutehNSZOslashJWF[PhY`uml5_0 Uacute_ cent G QcYauml^JUYZbnhQRcentEgraveJU^QcO G JUb^^MQcY|XhdNSZOslashJWNtilde[Phl` QcY H MeJUONiKKfcQRJU^ H [ H MJjOYZjeKEgraveJLhYUWQcYJU^aringYJ[]ZaringJUO H N H QR[]O[SXMe[]Zaring[S[PJUOeJL[]jYIacutehZJ[]QR[]OYIacutejYZQcO[ H MJregUiNihQcNPObnJ QsO G JUb^lt`NPO^ H MeJ bn[U~NihQsNPObnJZaringN H hdQk ^eJ H JLhZaringQcONPO H QcO G JUb^gtmacr^

degEplusmnyLMgtsup2Qsup32acutemicromiddotparaJcedilJacutemicrosup1acuteIKJordmcedilIltN paraJcedilJacutewMraquo Jfrac14ltacutefrac34frac12oLJMgtIiquest acuteAgravegtT2MgtIAacutelAcirclaquocedilFAtildeacuteNAumlfrac12R]JT13Aringgtacutesup1AEligMgtIKJMgtPltLAtildeJUbnJUO H fVmSeZaringNPOmNPj H Me[PhdYtimesMNUPJKhZ[PKEgrave[]YJU^NwWNm[SXNP^^QcOF[hZJ[]QR[]OWVcent-NPYJU^H JLhlZ YQcO H MJTJUP[]fcj H Qc[]O JjN H QR[]Ow[P[UPJLhOQcOF[ NPb H QVUPJtimesbn[]O H []jehdY Xiacute[PhiexclYJ[]ZaringJUOWVH N H QR[]O QsYZYZjeJUY^QMeJ KhZ[PcentfcJZ Y H N H JZaringJUO H QsYhY H KhZJUYJUO H JU^NPO^ H MeJUO H MeJY H N H JnV[SXV H MeJnV4Nih H QcY^J H NPQcfRJU^O^ ^f^bCcedil_EgraveKEacuteltEcircgtEumlIgraveFIacuteIumlIcircETHOgraveNtildeFETHIgraveFIacute5IgraveFOacuteETHiexclJLhZJSeOcircWFJa^eJUYZbnhdQRcentEgraveJ H MJ JjN H Qc[]OYaringNP^^ehJUYZYZQcO[ H MeJ`QcYZYZjeJ[SX H MeJYJ[]ZaringJUOWVH N H QR[]O[SX NPOQCZaringN[PJxOtilde QsO H WNtilde[ hZJ[]Qc[]OY^iexclgJ H jYeuml^eJOeJrOumlcopytimesOslash H MeJhJ[]QR[]Obn[]O H NPQcOQcOF[ H MeJ[Pcent~5JUb H Y H [YZJ[]ZOslashJUO H NPO^ OumluUgraveUcircUacuteUuml H MeJeumlcentNPbY`[PhZ[]jO^ hJ[]QR[]OO^MJUQRhFbn[]ZregZOslash[]O centEgrave[]jO^NihlmaringQcY(Oe[ H JU^YacuteOcirc^F9J H jY(bn[]OYZQc^JLhNPOaNPb H QVUPJaumlbn[]O H []jhYacuteadTHORN]szligYagravejaacuteacirca2atildeadTHORN]szligYagravejszligaumlOadTHORNOgraveszligYagravejje]WMeJLhZJuTHORNuZaringNmTcentEgraveJ H MeJ(NihbNtildefcJUO[ H Mtimes[SX H MeJbn[]O H []jhNPO^umlagraveQsYOtildeNPOJUP[]fcj H QR[]OeumlK-NihNSZOslashJ H JLh^shyMeJOslashNPb H QVUPJ bn[]O H []jehIacuteNiKKhZ[]NPbMpoundZ N`PJUYYacuteadTHORN]szligYagravejJUP[]fVUPJ H MehZ[]j[]M H MeJ|Xiacute[]fcfR[WQcO[K-Nih H QcNPf^Q=JLhJUO H QcNPf]JjN H Qc[]Ooa5copyjaringaelig YacuteadTHORNOgraveszligYagravejaelig agrave aacuteegraveccedilyeacuteecircaacuteegraveeuml WQ H MigraveYacuteaagraveregaacute s j|aacuteegraveYacuteshyiacute afjWMJLhZJfrac34YacuteltiacuteaQcY NPO QsOQ H QcNPfbLjhYUPJ ^JOeJU^centm H MeJeumljYJLhNPO^egraveeacute H MeJ QsOOgraveWNih^Oe[PhZaringNPfUPJUb H [PhOtilde[SX|YacuteadTHORN]szligYagravej^MeJUPJUfR[WbLQ H mfrac34ccedil QcY^eJLhQUPJU^wXiacutehZ[]Z NZaringQsOQZaringQVcurrenUQsO[

uumlnyacute|thornLyuml13 2

$amp)(+-)013021+345627893lt=gt9A6CBbnhQ H JLhQR[]O NPO^ QsY bdMe[]YJUO Y[ H MN H H MeJ YZ[]fcj H QR[]OicircYacuteaUcirciumlVszligYagravej bn[]OUPJLhY[PJUY H [ H MeJ[Pcent~JUb H centEgrave[]jO^NihYmSeYacuteaUcirciumlethjeNPY_agraveregntildeoacuteograveicirc^5ObLfcNPYYZQcbLNPfcentEgrave[]jO^NihYmVcent-NPYJU^ZOslashJ H Me[W^Ya)v(NPYJUfcfRJUY(J H NPfd^VeshyfhSh]zg_`NPfcfcNP^QJ H NPfd^VelaquofhShSmacr]je H MeJsup1UPJUfc[BbLQ H m XqjOb H QR[]OHccedil QsY`^eJLhdQVUPJU^XiacutehZ[]ZCNPOJUOeJLhY[Smacircocirc^eJLKEgraveJUO^QcO[T[]O H MeJOtildecentEgrave[]jO^NihlmYacuteOcircaring

ocircOgraveotilde UgraveUacute OslashoumlYdivideloslashugrave aYacuteQj|aacute uacuteucircyacuteuumlgtthorn otilde)yuml THORN a jWMJLhZJ_uuml thorn otilde)yuml QcYNtildeNyXqjOb H Qc[]O ^eJUYZbnhdQRcentQcO[ H MeJiexclcentEgrave[]jO^NihYmtimes[SX H MeJiexcl[Pcent~JUb H ^vNPYZJUfcfRJUYJ H NPf_a)vNPYJUfsfRJUYaumlJ H NPfd^VefhSh]zSjIacutebM[[]YJ H MeJregXqjOb H Qc[]Obuuml thorn otilde)yuml aacuteKa ordmOtilde jyWMeJLhZJtaring s szliggograve8ntilde Otilde 13 QcYiexclN Y H hdQcb H fVm ^eJUbnhZJUNPYZQsO[XqjOb H Qc[]OaY[ H MN H a]juntilde s NPYgntildeoacuteograveicirc^SMeJFbn[]ZOslashKj H N H Qc[]OIacute[SX H MeJUPJUfc[BbLQ H mccedilicircXiacutehZ[]Z H MJFbnhQ H JLhQR[]Oa j9QsYOe[WWFJUfcfO`WOe[WiexclOsup1a)vNPYJUfsfRJUYJ H NPfd^VeltfhSh]zSjiexclNPO^`fRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[OslashJUP[]fcj H QR[]OJBjN H QR[]OOaring aelig Yacuteaelig agrave aacuteFuuml thorn otilde)yuml uuml thorn otilde)yuml eacute13eacute ad]jWMJLhZJ QcY H MeJaumlbLjehYUiN H jehZJOtilde[SXYacuteaagravej^iexcl[WFJUPJLhecent=[ H MaringhZJ[]QR[]OYOcircOumlcopytimesOslashtimesNPO^Ouml UgraveUcircUacuteUuml ZaringNmtimesMNUPJiexcl^QV=JLhZJUO H KhZ[PKEgraveJLh H QRJUYamp[SXH Jk H jehZJSeiMe[]ZOslash[S[PJUOeJUQ H mtimes[PhZaring[ H QR[]O H MN H bLNPOOe[ H cent=JQcObLfsj^eJU^aumlQcO H MeJXiacutejOb H QR[]Ouuml thorn otilde)yuml ^ G [ H MeJoZaringNPQcOOacuteKjehZKEgrave[]YJaring[SX(hJ[]QR[]OWVcentNPYJU^7NiKKh[]NPbMeJUYaeligQcY H [ QcO H hZ[W^jbnJYZjbM Nx[]fR[PcentNPfUacuteQcOXiacute[PhlZaringN H QR[]O QcO H MeJ UPJUfR[WbLQ H m XiacutejOb H QR[]Oicircccedil QcO NP^^Q H QR[]O H [H MeJeumlfR[WbLNPfiexclQsOX[PhZaringN H QR[]OKhZ[UWQc^eJU^ centm cent=[]jO^NihYmVcentNPYJU^ H JLhlZaringY^copyMeJZaringNPQcOBjeJUY H QR[]OeiQsOIacute[Phd^eJLh H [~jY H QVX2m H MeJQcO H hZ[W^jb H QR[]OIacute[SX H MJUYJ(hZJ[]QR[]O H JLhlZ Ye]QcY H [^eJLhdQVUPJ H MeJuUPJUfR[WbLQ H mlaquoXqjOb H QR[]OlaquoXiacutehZ[]ZNPOOslashJUOeJLhl[SmS^Ograve9[IacuteYJ H Nordf[PJUOeJLhNPfFXhNSZaringJWNtilde[PhY`NPO^ H [Oslashbn[]ZOslashKNihZJ H MeJUacute^QEgraveJLhZJUO H NiKKhZ[]NPbMeJUYFKh[PK=[]YZJU^ QcO H MeJUacutefcQ H JLhN H jhZJSeWFJOe[W QcO H hZ[W^jbnJ Nw[PJUOeJLhNPfNtildebnhQ H JLhQR[]ObXh[]ZigraveWMQsbM H MeJUPJUfR[WbLQ H mpoundZaringN[]OQ H j^eJZaringNmcent=JOtilde^eJLhdQVUPJU^Oaring

ocircOcircadOumlutimes OslashgtszliglOuml UgraveUcircUacuteUuml szligYYacuteQjbaacute uumlgtthorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszliglOuml UgraveUcircUacuteUuml j atilde auml $ uumlgtthorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashFj atilde aumlamp uacuteucirc uumlgtthorn otilde)yuml a2atildeltszligaumlj THORN a2jWMJLhZJyuuml thorn UgraveUcircUacuteUuml yuml QcYONSZaringJU^ H MeJwn^JUYZbnhQRK H [PhpOslash[SX H MeJaumlcentNPbl`[PhZ[]jO^ hZJ[]QR[]Oegtuuml thorn timesOslash yumlH MeJsup1n^eJUYZbnhQRK H [Phlp[SX H MeJaring[Pcent~JUb H hZJ[]Qc[]ONPO^buuml thorn otilde)yuml H MeJsup1n^eJUYZbnhQRK H [Phlp [SX H MeJbn[]O H []jeh^MJOslashhZJ[]QR[]O^eJUYZbnhdQRK H [PhYordfZaringNm`centEgraveJlaquo[]fR[PcentNPfsfVm`N HH NPbdMeJU^ H [ H MJUQRhOtildehZJnVYKEgraveJUb H QVUPJOslashhJ[]QR[]OYeOumlcopytimesOslasha[PhOuml UgraveUcircUacuteUuml e9NPO^Y[^eJLKEgraveJUO^euml[]O H MeJZ aqQVXFY[e H MeJmNihZJbLNPfcfcJU^pihJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhYYpOgravej^ H MNiKK=JUOYshyWMJUOtimesY H N H QcY H QcbLNPfXiacuteJUN~VH jehJUYg[SXNhJ[]QR[]OTfcQ`PJSeXiacute[Ph9JkeNSZOslashKfRJSe H MeJZOslashJUNPOIacute[Ph H MJ|UiNihQcNPObnJSe~NihZJNtildeYJUfcJUb H JU^NPY(hJ[]QR[]O^eJUYZbnhdQRK H [PhY^MeJ`K-jehZKEgrave[]YJ [SXIacuteNPfcfhZJ[]QR[]OeVcentNPYJU^ NPb H QVUPJOacutebn[]O H []jehYwZOslashJ H Me[W^YQcY H MeJUOH [poundZaringN`PJ H MeJaNPb H QVUPJabn[]O H []jeh JUP[]fVUPJ H [WNih^Y NeumlKNih H Q H Qc[]O[SX H MeJ`QZaringN[PJSeadOumluUgraveUcircUacuteUumlszliglOuml timesOslash szligYYacuteQje H MN H ZaringQcOQZ QVcurrenLJUY H MeJTbnhQ H JLhdQR[]Opounda2j^

uumlnyacute|thornLyuml13 (

yenKbrvbarsect =4 acirc $ macr ^ ^)+ltIgraveFEgrave-+13IgraveigraveEacute10Igrave22IcircETH313Oacute4 EgraveOIgrave54EacuteshyOacute76EcircgtNtildeltIcircIgrave8 Iacute_IgraveETH39ltEacute8QIcircshyIcirclt2Oacute4Ntilde=KETH3gt+ltIgrave=EacuteshyOacuteshyETHEacute1EgraveIcirc MQcfRJiexclNPONPfVmWYZQcO[aumlhJ[]QR[]OWVcentNPYJU^ NPb H QVUPJUacutebn[]O H []jhYNiKKhZ[]NPbdMeJUYeWNtildeJ5ZaringNm bn[]OWVYZQs^eJLh H MehZJLJyZaringNPQsO QZOslashKEgrave[Ph H NPO H K=[]QsO H Yaring MN H NihJ H MeJT^QV=JLhZJUO H ^eJUYZbnhdQRK H [PhY(jYZJU^BA iexcl[WQcY^eJLhdQVUPJU^ H MeJaumlJUP[]fcj H QR[]O JBjN H QR[]OXiacutehZ[]Z H MeJaumlbnhdQ H JLhQR[]OCA iexcl[WQcYQZaringKfRJZOslashJUO H JU^ H MeJaumlNPb H QVUPJtimesbn[]O H []jehANtildeQR[]OeJLJLhcopyWF[PhY`BY(MNUPJaumlcentEgraveJLJUO KhZ[PKEgrave[]YJU^ centma)vF[]MeJUOJ H NPfd^VefhShSgt[]OXqNih^OefhShj^5ONPOJUNihdfVmpoundWF[PhY`gte|vF[]MJUOJ H NPfd^ua)vF[]MeJUO7J H NPfd^VeufhShS]jIacuteKhZJUYZJUO H NYZjhYXiacuteNPbnJ$hJUbn[]OY H hjb H Qc[]OgZOslashJ H Me[W^TjYQcO[hZJ[]QR[]OWVcent-NPYJU^aumlNPb H QVUPJFbn[]O H []jehdY^MJmbn[]ZOslashK-j H J H MeJUPJUfR[WbLQ H mpoundUPJUb H [Phaelig[SXNPO7NPb H QVUPJ bn[]O H []jhXiacutehZ[]Z H MeJZaringQsOQZaringQVcurrenUN~VH QR[]O[SXampNOslashbnhQ H JLhdQR[]OQcObLfcj^QcO[aumlhZJ[]Qc[]OWVcentNPYJU^ H JLhZaringY^ Oe[ H MeJLh(KQR[]OJLJLhuWNtilde[PhY`MNPYaumlcent=JLJUOK=JLhlX[PhlZaringJU^QcO a[]OXqNih^OeOcircfhShj^iexclJ NPYZYJUYZYZJUY H MN HTH MeJUPJUfR[WbLQ H mXqjOb H QR[]O YZMe[]jfc^aringcent=JKhZ[PKEgrave[Ph H QR[]ONPf H [ H MeJUacute^QEgraveJLhZJUObnJ[SXgY H N H QcY H QcbLNPfXJUN H jehJUYaringccedilaacute uuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml eOgraveWMJLhZJ_uuml thorn timesOslash yuml QsY0NaumlY H N H QsY H QcbLNPfKZOslash[B^JUfe[SX H MeJ[Pcent~JUb H hJ[]QR[]ONPO^tuuml thorn UgraveUcircUacuteUuml yuml N Y H N H QcY H QcbLNPfshyZOslash[B^JUfEgrave[SX H MJaumlcentNPbY`[PhZ[]jO^ hZJ[]QR[]OO^

G []ZOslashJaumlNiKKhZ[]NPbdMeJUY(Kh[PK=[]YZJ H [ bn[]ZOslashKj H J H MeJOtildeJUP[]fsj H QR[]OJBjN H QR[]O [SX H MeJNPb H QVUPJtimesbn[]O H []jhUacutejYZQcO[ H MeJ hZJLJUOWVAiexclQRJZaringNPOO H MeJL[PhZJZ NPO^wNtildejfRJLhVAN[PhNPO[PJJBjN H QR[]OY^OEgraveMBjeumlNPO^frac340jQcfcfcJoa)EgraveMBjNPO^frac340jQcfcfcJSeltfhShS]jKhJUYJUO H NY H N H QcY H QcbLNPfXiacutehNSZOslashJWF[PhY`poundXiacute[PhOslashQZaringN[PJYJ[]ZOslashJUO H N H QR[]OjYZQsO[aNPONPfV[P[PhQ H MZbLNPfsfRJU^n5hJ[]QR[]Obn[]ZOslashKEgraveJ H Q H Qc[]OFp^MeJm^eJLhQVUPJ H MeJeumlNPb H QVUPJbn[]O H []jehJUP[]fcj H QR[]O JBjN H QR[]O centmZaringQsOQZaringQVcurrenUQsO[aringNo[PJUOeJLhNPfcQVcurrenLJU^XNmPJUYDi_wiexcl bnhQ H JLhdQR[]O`QsOYKQRhJU^centm H MeJaring_`jFZaeligVXiacute[Ph^OacuteNPO^ G MNPMJUOeJLhY[Smicircaw_ajFZX[Ph^7NPO^ G MNPMOefhSiSh]j^OcircMeJmKhZ[PKEgrave[]YJ H MeJXiacute[]fcfR[WQcO[aelig^eJUYZbnhQcK H [PhYcopyXiacute[Ph H MeJaumlYJ[]ZaringJUO H N H QR[]O`[SXampY H QcfcfQZ N[PJUYaringEFG FH uuml thorn UgraveUcircUacuteUuml yuml aacute JILK NMregaOtildeKa2atildeshyszligaumlFjPORQ UgraveUcircUacuteUuml juuml thorn timesOslash yuml aacute JILK NMregaOtildeKa2atildeshyszligaumlFjPORQtimesOslashjuuml thorn otilde)yuml aacuteTS admacr]jWMJLhZJUMrega)j9QcY9NiexclKhZ[Pcent-NicentQcfcQ H m^JUOYZQ H m5XqjOb H Qc[]OOeQshytimesNihZJ H MJNtildeKNihdNSZOslashJ H JLhY[SX H MeJ^QsY H hQRcentj H QR[]OX[Ph H MeJaelighZJ[]Qc[]OBVNPO^CSQcYUacuteN KEgrave[]YZQ H QUPJIacutebn[]OY H NPO H ^ not [PhaumlQcfsfcjY H hN~VH QR[]OYe H MeJNPj H Me[PhdYybn[]OYZQc^JLh NPjYZYZQsNPOOslash^QcY H hQccentj H QR[]OYbMNihdNPb H JLhQVcurrenLJU^ centm H WF[KNihdNSZOslashJ H JLhYe H MeJZaringJUNPOIacuteNPO^ H MeJ|UiNihQcNPObnJS^ q ObnJ H MeJWQtimeskWJU^Oe H MeJ0JUP[]fcj H QR[]OJBjN H QR[]O[SXNPONPb H QVUPJ bn[]O H []jhaeligQsYIacutebn[]ZOslashK-j H JU^NPO^^QchZJUb H fVm^eJLhQUPJU^poundXiacutehZ[]ZH MeJbnhdQ H JLhQR[]OO^SMJbLfcNPYZYZQcbLNPfe^JLhQVUiN H QVUPJ([SX H MJ(cent=[]jO^NihYmVcentNPYJU^ H JLhlZ fRJUNP^YH [ H MeJtNtildejbLfcQc^QcNPOpound[PJL[]ZOslashJ H hdQcbMeJUN HYX [Wg^OcircMeJ ^eJLhdQVU~N H QUPJ [SXiexclhZJ[]QR[]OWVcent-NPYJU^H JLhlZ Y QcY H MJUOKEgraveJLhYXiacute[PhlZOslashJU^jYQcO[ H MeJ hZJLJUOWVAQcJZaringNPOO H MeJL[PhJZ NPO^ H MeJNtildejfRJLhVAN[PhNPO[PJaJBjN H QR[]OY^5O^eJLJU^e H MeJeumlbn[]ZOslashKj H N H Qc[]O [SX H MeJaJUP[]fcj H QR[]OJBjN H QR[]OQsYK=JLhlX[PhlZaringJU^ QcO H MehZJLJyZ NPQcO Y H JLKYaringf^Q9hNPOYX[PhZaringN H QR[]Oeuml[SX^e[]ZaringNPQcOQcO H J[PhNPfcYTQcO H [ centEgrave[]jO^NihYmaQcO H J[PhNPfcYTjYZQcO[

H MeJ hZJLJUOeVAQRJZaringNPOO H MeJL[PhZJZ^

uumlnyacute|thornLyuml13

$amp)(+-)013021+345627893lt=gt9A6CB ^vF[]ZOslashKj H N H Qc[]O [SX H MJy0jfcJLhVA9N[PhNPOF[PJOtildeJjN H Qc[]OY^ltO H hZ[W^jb H QR[]O[SXiexclNeuml^mWONSZaringQcbLNPfFYZbdMeJZOslashJ QcO H MeJ0jfRJLhZVA9N[PhNPO[PJ JBjN~V

H QR[]OYQcO [Ph^eJLh H [aeligbn[]ZaringKj H J H MeJ5UPJUfR[BbLQ H mregUPJUb H [Ph[SX H MeJOtildeNPb H QVUPJOtildebn[]O H []jh^MJ UPJUfR[WbLQ H mXiacutejOb H QR[]OoccedilQsY H MJUO bn[]ZaringKj H JU^NPO^Q H fcJUNP^Y H [ H MJ5Xiacute[]fcfR[WQcO[JUP[]fcj H QR[]OJjN H QR[]OOaring aelig Yacuteaelig agrave aacuteacircaduuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml S jeacute ad]jWMJLhZJ QsY H MeJ bLjehlU~N H jehJaring[SXuYacuteaagravej^5O[Ph^eJLh H [aQZOslashK-fRJZOslashJUO HOtildeH MQcYordf|iexcl eNN[PhNPO[]QcNPOXiacute[PhlZtimesjfcN H QR[]O QsY(jYJU^O^JUbnJUO H fmSeampNihN[]Qc[]YNPO^frac34JLhQcbdMeJaNihdN[]QR[]YOtildeNPO^iexclJLhdQcbMeJSefhShSh]jegMNUPJKh[PK=[]YZJU^ NPOJk H JUOYZQc[]O[SX H MeJordfWF[PhY` [SXOcircEgraveMBjNPO^o0jQcfcfcJcentm QZOslashKhZ[UWQcO[ H MeJ^eJUYbnhQRK H [Phaelig[SX H MJbn[]O H []jeh QcO7[Ph^eJLh H [QcObn[PhK=[PhdN H J H MJQCZaringN[PJ[PhNP^QRJUO HNPYiexclQcO[PJL[W^eJUYZQcbIacuteNPb H QVUPJtimesbn[]O H []jehY^gtMeJTJUP[]fcj H QR[]OaJjN H Qc[]OaQcYiexclQZOslashKfRJZaringJUO H JU^jYQcO[ H MeJ(fRJUPJUfBYJ H ZOslashJ H Me[W^aeligQcO H hZ[B^jbnJU^aumlcentm q YZMJLhNPO^ G J H MQcNPOoa q YZMeJLh$NPO^G J H MQcNPOOeltfhSiSi_aNPfcfsNP^Q9J H NPfd^VefhShSmacr G J H MQcNPOOeltfhShS]j^ UPJLhYm QcO H JLhJUY H QcO[KNih H [SX H MQsYyWF[PhY`Oacutebn[]ObnJLhdOY H MeJ QsO H hZ[W^jb H Qc[]O[SXY[]ZOslashJ^eJUYZbnhdQRK H [PhYlaquouuml thorn timesOslash yumlNPO^uuml thorn UgraveUcircUacuteUuml yuml X[PhNiKKfcQsbLN H QR[]OYfcQV`PJ H Jk H jehZJFYJ[]ZOslashJUO H N H QR[]OtimesNPO^gZOslash[UBQcOF[[Pcent~JUb H Y^eJ H JUb H Qc[]OO^

G []ZOslashJT[ H MeJLhUacuteNiKKh[]NPbMeJUYlaquoa)vMN`BhNicentEgrave[Ph H mJ H NPfd^VeltfhShSvMeJUYONPj^ J H NPfd^VefhShSh]j9KhZ[PKEgrave[]YJ H [OtildebMe[B[]YJ(N H JUNPbdMOslashY H JLK H MeJ^QcYKfsNPbnJZOslashJUO H [SX H MeJNPb H QVUPJ(bn[]OWVH []jeh H MN H ZaringN`PJUY H MeJybnhQ H JLhQc[]OOtilde^eJUbnhZJUNPYJS^SvMN`BhNicentEgrave[Ph H miexclJ H NPfd^a)vMN`hNicentEgrave[Ph H mJ H NPfd^VecopyfhShS]jtimesQcO H h[B^jbnJ N`hZJ[]QR[]OWVcentNPYZJU^7NiKKhZ[]NPbMxXiacute[Ph H MeJ YZJ[]ZOslashJUO H N H Qc[]O[SXQZOslashJU^QcbLNPfQZ N[PJUY^ iexclYQcOeKj H [SX H MJUQRhNPfV[P[PhQ H MZe H MeJm bn[]OYQc^eJLh(centEgrave[ H M H MeJNPb H jNPf9QZaringN[PJgOtilde NPO^ H MeJOtildehZJ[]QR[]OWV4bLfsNPYZYZQVJU^ QCZaringN[PJgOtildeoslash^FMeJOtildebLfcNPYZYZQVJU^ QZaringN[PJOtilde oslash QcYiexclbn[]ZOslashKj H JU^`centmwZaringNkeQZaringQVcurrenUQcOF[ H MeJTKEgrave[]Y H JLhQc[Ph^QsY H hQRcentj H QR[]O [SX H MeJThJ[]QR[]OfcNicentEgraveJUfcY[]QUPJUO H MeJQcO H JUOYZQ H maeligQZaringN[PJS^MeJUQRh0hZJ[]QR[]O H JLhlZ JUOXiacute[PhbnJUY H MJcentEgrave[]jO^WVNihYm H [JUObLfc[]YJaringNYZQcOF[]fRJaelighZJ[]QR[]OQcOumlOtildeoslash^MeJaring^JUYZbnhQRK H [PhdYOtildeNihZJ H MeJXiacute[]fcfR[WQcO[WQ H M H MeJauml^QEgraveJLhZJUObnJ H MN HH MeJmWFNPO HH [regZaringNkeQZaringQcurrenLJ H MJTbnhQ H JLhQc[]OocircaringEFG FH uuml thorn UgraveUacuteUuml yuml aacute[Z] Otilde oslash a2atildeltszligaumljuuml thorn times Oslash yuml aacute suuml thorn otilde)yuml aacute[Z cent Otilde_^Ogravea2atildeshyszligaumlFj a)zSjWMJLhZJ]Z NPO^`Z cent NihZJ H WNtilde[7KEgrave[]YZQ H QVUPJbn[]OY H NPO H YNPO^ Otilde_^aQcY H MeJfrac34[PhNP^QRJUO HQZ N[PJS^ KhQc[PhYMNiKEgraveJ H JLhZDQcY(NPfcY[OslashNP^^eJU^ H [ H MJaumlbnhQ H JLhQR[]OeWiexclMQcbMbLNPO centEgraveJQcO H JLhZJUY H QsO[gXiacute[PhZOslashJU^QcbLNPf-QCZaringN[]QcO[gWiexclMeJLhZJ H MJiexclON H jehJ[SX H MeJYZMNiKEgraveJiexcl^[JUYFOe[ HbdMNPO[PJNaumlfc[ H Xh[]Z2QcO^QUBQc^jNPf H [TQsO^QVUWQc^jNPf)^MeJUOeiNPYNtildeQcOwa)EgraveMBjaringNPO^ordm0jQcfcfRJSefhShS]je H MeJWMe[]fRJaumlKhZ[PcentfRJZ QsY(hZJU^jbnJU^ H [ bn[]ZaringKj H QcO[ cent=[]jO^NihYm QcO H J[PhdNPfcYH MNPOF`BY H [ H MeJ hZJLJUOWVAQcJZaringNPOO H MeJL[PhZJZte(hN H MeJLh H MNPO centEgrave[ H M centEgrave[]jO^NihYmNPO^ ^[]ZaringNPQcO QcO H J[PhNPfcY^yacuteMeJQZOslashKfRJZaringJUO H N H QR[]O [SX H MeJNPb H QVUPJ7bn[]O H []jhaQcOa)vMN`hNicentEgrave[Ph H mJ H NPfd^Ve fhShS]jaringQcYaring^e[]OeJacentmjYZQcOF[N not []jehQcJLharingKNihNSZOslashJ H JLhdQVcurrenUN~VH QR[]O^yacuteMeJJkWKhZJUYZYZQc[]O [SX H MeJumlUPJUfR[WbLQ H mAumlUPJUb H [Ph [SX H MeJOacuteNPb H QVUPJ7bn[]O H []jeh QcY

uumlnyacute|thornLyuml13 a

yenKbrvbarsect =4 acirc $ zOe[ H bn[]ZOslashKj H JU^OeNtildecentj HOslashH MeJ bnhQ H JLhQc[]OQcYaringQcO H hZ[W^jbnJU^NPO^ OBjFZOslashJLhQcbLNPfsfVmOacuteJUiNPfuVjN H JU^ QsO [Ph^eJLh H [ ZaringNkeQZaringQVcurrenLJQ H ^ JbLNPO Oe[ H J H MN HH MJeumlNPj H Me[PhYMNUPJKh[PK=[]YZJU^ NlaquoUPJLhYm QcO H JLhZJUY H QcO[aeligJk H JUOYZQR[]O [SX H MQcYWNtilde[Phl` jYQcO[ H MJ5[]NSZaringJ H MeJnV[PhYma)vMN`BhNicentEgrave[Ph H m NPO^jObLNPOOeOfhShSh]j^J[]Qc[]O NPO^ cent=[]jO^NihYmOslashbnhQ H JLhdQR[]OYNihZJYJLKNihdN H JU^OePcentj H JUNPbMaringbnhQ H JLhQR[]Otimesbn[]O H NPQcOY$NPOtimesQsO H JLhNPb H Qc[]OlaquoWQ H M H MeJ[ H MeJLh^ Y H MJ_[]NSZOslashJKhZ[S[PhJUYZYJUYeBcentEgrave[ H MZOslash[W^jfcJUYyQZOslashKh[UPJ H MeJUQRh0KEgrave[]YZQ H QR[]OY H MhZ[]j[]MZtimesj H jNPfQcOFX[PhlZ N H QR[]O YZMNihQsO[^

Oe[ H MeJLhIacuteYZQZaringQcfsNihUacuteNiKKhZ[]NPbMMNPYaumlcentEgraveJLJUOQcO H hZ[W^jbnJU^eumlcentmbvMeJUYZONPj^eumlJ H NPfd^a)vMJUYZONPj^ J H NPfd^VefhShSh]j^FMeJUQchNtilde^eJUYZbnhdQRK H [PhYFNihZJhZJnVJU~NPfsjN H JU^ JUNPbM H QZOslashJUacuteNKEgrave[]QcO H [SX H MJNPb H QVUPJbn[]O H []jehFJUP[]fVUPJUY0YZQsObnJ H MeJUQRh0^JUYZbnhQRK H [PhdY$NihZJY H N H QcY H QcbLNPfXiacuteJUN H jehZJUYOtilde[SX H MeJ QZaringN[PJordm[]fR[PcentNPfsfVm`N HH NPbdMeJU^ H [ H MeJOslashJUP[]fVUWQcO[ hZJ[]Qc[]OY^shyMJmbdMe[[]YZJ H MeJ`hNPO^e[]Z ^QcYKfsNPbnJZOslashJUO H [SXaumlNOacutebn[]OYZQs^eJLhZJU^ KEgrave[]QcO H [SX H MeJ NPb H QVUPJbn[]O H []jehOslashY[ H MN HIacuteH MJ bnhQ H JLhQR[]O7^eJUbnhZJUNPYJUY^$ _X H JLhaeligJUNPbdM ^QcYKfsNPbnJZOslashJUO H [SXNKEgrave[]QcO H [SX H MeJIacuteNPb H QVUPJIacutebn[]O H []jehe H MJT^eJUYZbnhQcK H [PhY(NihZJOtildehZJnV4bn[]ZaringKj H JU^O^

fcN H JLh NiKKhZ[]NPbdM MNPYaringcentEgraveJLJUOQcO H hZ[W^jbnJU^ centm G NSZaringY[]O J H NPfd^_a G NSZ Y[]OJ H NPfd^Ve sSsSs jyacuteXiacute[PhOtildebLfcNPYZYZQbLN H QR[]OaNPO^acentmvMNPO NPO^frac34$JUYJa)vMNPOeumlNPO^frac34$JUYJSesSs fjX[PhaYZJ[]ZOslashJUO H N H Qc[]O [SXaeligY H QcfcfOtildeQZ N[PJUY^yacuteMeJm KhZ[PKEgrave[]YJ H [JZIacutecentEgraveJU^ H MeJbnhQ H JLhQR[]O ^QRhZJUb H fVm`QcO H MJaeligfcJUPJUf$YJ H X[PhlZtimesjfcN H Qc[]OO^Ov(MNPOeumlNPO^$JUYJOslashKhZ[PKEgrave[]YJH MeJordfXiacute[]fcfR[WQcO[Oslash^eJUYbnhQRK H [PhYaringEFG FH uuml thorn UgraveUcircUacuteUuml yuml aacutecb7d Otilde e f centUhguuml thorn timesOslash yuml aacutecb cent Otilde e cent centuuml thorn otilde)yuml aacuteiS adi]jWQ H M e H MeJ NUPJLhN[PJ[SXgOtildeQcOicircOuml timesOslash e e cent H MJ`NUPJLhdN[PJ[SXgOtilde7QsO OumluUgraveUcircUacuteUuml^MeJUYJH WNtilde[ UiNPfcjeJUY NihZJhJnVJUY H QZaringN H JU^ ^jehQcO[ H MeJKhZ[PK-N[]N H QR[]O [SX H MeJbLjhYUPJNPYH MeJaelighZJ[]Qc[]OYJUP[]fVUPJS^shyMeJtimesKNihNSZaringJ H JLhYjb e1b cent egeumlNPO^kSNihJaringY[]ZOslashJaeligKEgrave[]YZQ H QVUPJbn[]OY H NPO H Y^iexclJLhZJ H MJ fRJUPJUfFYJ H ZOslashJ H Me[W^QsYIacute^QchZJUb H fVmjYJU^OacutecentmhJLKhZJUYJUO H QcO[H MeJtimesbLjehYUPJlaquoYacuteaagravejNPY H MeJycurrenLJLhZ[fRJUPJUfampYJ H [SXyNQRKYZbdMQ H currenTbn[]O H QcOBje[]jY_XiacutejOb H QR[]Ol a2atildeshyszligaumlKszligYagravej^]MeJfRJUPJUfWYJ H XiacutejOb H QR[]O l QcYQsO H hZ[W^jbnJU^timesQcO H MeJbnhQ H JLhQc[]OUWQcN H MeJiexclJUNUWQcYZQc^JyacuteXiacutejOb H QR[]Onmra l j^MeJbnhQ H JLhQR[]O QcY H MeJUOoZaringQcOQZaringQVcurrenLJU^WQ H M hZJUYKEgraveJUb HH [ l jYZQcO[OslashNaelighZJ[]jfcNihQVcurrenLJU^UPJLhYQR[]O[SX H MJyZaringQcOQCZaringQVcurrenUN H QR[]O KhZ[PcentfcJZ JIacuteOe[ H JMeJLhJ H MN HFH MeJJUP[]fcj H QR[]OaringJBjN H QR[]O QcY0^QRhZJUb H fVmtimesJkBKhZJUYZYJU^regWQ H M H MJiexclfRJUPJUf-YJ HXqjOb H QR[]O NPO^ Oe[ H WQ H M H MJTbLjehYUPJgYacute|^

G []ZOslashJ[ H MeJLhWNtilde[Phl`BYeBjYZQcOF[auml^QcY H hQccentj H QR[]O H MeJL[PhYmSeBMNUPJcentEgraveJLJUOaringKh[PK=[]YZJU^OslashcentmJLcenthZJUjFUPJaJ H NPf)^_aJLcenthZJUjUPJ J H NPfd^Ve sSs fjXiacute[PhZaringJU^QcbLNPfQCZaringN[]QcO[NPO^ centm 5ZaringNP^QRJUjJ H NPfd^shyaq _Z NP^QRJUj J H NPf)^VeshyfhShSh]jcopyXiacute[PhcentjQsfc^QcO[times^eJ H JUb H QR[]OO^not QcONPfcfVmSe~hZJ[]QR[]OWVcentNPYZJU^aringNPb H QVUPJbn[]O H []jehYNtildeNihZJNPfcY[OtildeKEgrave[WFJLhYXqjf H [[]fsYX[PhNtildebLfcNPY5VYZQbLN H QR[]Opounda13yJcurrencurrenUQJ H NPfd^VeshyfhShSh]j[Ph_ZOslash[ H Qc[]O^eJ H JUb H QR[]Oxaw_aNPOYZ[]jehQgNPO^wcOtilde[]OWVhNP^efhShSh]j^MeJZ N~5[PhOtildebn[]O H hQRcentj H Qc[]Oa[SXy[]jh5WF[PhY`aQsY H [KhZ[PKEgrave[]YJaeligNo[PJUOeJLhNPfQXiacutehNSZOslashJnVWF[PhY`X[PhaumlhJ[]QR[]OWVcentNPYJU^OacuteNPb H QVUPJ bn[]O H []jehY H N`BQcOF[QcO H [NPbLbn[]jO HIacuteH MeJaringbLNPYJ [SX

hZJ[]Qc[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhY^OgraveMeJ UPJUfR[WbLQ H mordmUPJUb H [PhF[SX H MJiexclNPb H QVUPJUacutebn[]O H []jh

uumlnyacute|thornLyuml13 o

i $amp)(+-)013021+345627893lt=gt9A6CBQcYUacutebn[]ZOslashK-j H JU^centm`QcO H hZ[W^jbLQcO[N ^mWONSZaringQcbLNPfampYZbdMeJZOslashJaring^QchZJUb H fVm`QsO H MJaringbnhQ H JnVhQc[]O H [frac34ZaringQcOQZaringQVcurrenLJaeligNPYTQcO aJLcenthJUjUPJ J H NPfd^Ve sSs f 5ZaringNP^QcJUjJ H NPfd^VefhShSh]j^iexcl[WFJUPJLheWFJ KhZ[PKEgrave[]YJ MJLhZJ N OJW Xiacute[PhlZtimesjfcN H QR[]O7[SX H MJ^JLhQVUiN H QR[]OjYZQcO[YZMNiK=JIacute[PK H QZaringQcurrenUN H QR[]O H [B[]fcY^ Q H M YjbM NZaringJ H Me[B^egtWFJtimesNihJaeligNicent-fRJ H [hZJUNP^QsfVmH N`PJQcO H [NPbLbn[]jO HaringH MeJ bLNPYJ [SXhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhY H MN H U~NihYm^jhQcO[ H MeJ KhZ[PKN[]N H QR[]O[SX H MeJ NPb H QUPJ bn[]O H []jeh^MeJUYJ ^eJUYZbnhQRK H [PhYTMNUPJH [centEgraveJtimesbn[]OYZQc^eJLhZJU^ YZQcObnJ H MJmaNihZJlaquoWQc^eJUfmjYJU^X[PhOtildejOYZjeKEgraveJLhYUWQcYJU^YJ[]ZaringJUOWVH N H QR[]O^ not [Ph(YZjbdM hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYbnhQRK H [PhYeOgraveWFJiexclYZMe[W H MN H NP^^Q H QR[]ONPfH JLhlZ Y0NiKKEgraveJUNihNtildeQsO H MeJJUP[]fcj H QR[]OaringJBjN H QR[]O [SX H MeJiexclbLjehlUPJ H MN H MNUPJUacuteOe[ H centEgraveJLJUOKhJUBQR[]jYZfVm bn[]ZOslashK-j H JU^O^

pE paraOacuteOgraveJJTIshyAgravesup1cedilqoacuteIshyacuteLcedilsup3UrltLcedilgtmicrobacuteNsMgtLtrraquoML iquest acuteAgravegtT2MKIOAacutelAcirclaquocedilFAtildeacuteNfrac12oRSJT13AringKacutepoundAEligMKIKJMgtPltLAtildeq jhyZaringNPQcOb[P[]NPfFfsQRJUYTQcO H MeJ JUfsNicent=[PhdN H QR[]O[SXNfrac34[PJUOeJLhNPfXhdNSZOslashJWNtilde[Phl`umlX[Ph H MeJYJ[]ZaringJUO H N H QR[]O7[SXNPO7QZaringN[PJQcO H WF[euml^Q=JLhJUO H hZJ[]QR[]OYtimesjYZQcOF[hZJ[]QR[]OWVcent-NPYJU^NPb H QVUPJIacutebn[]O H []jehdY^ JOtildeKhZ[PKEgrave[]YJ H [ZaringQcOQZ QVcurrenLJ H MeJiexcl[PJUOeJLhdNPfgbnhQ H JLhQc[]O a2jWiexclMeJLhZJUacuteJUNPbM hJ[]QR[]OQcYamp^eJUYbnhQRcentEgraveJU^TjYQcO[UacuteN_XqjOb H Qc[]OtimesbLNPfsfRJU^ n^eJUYZbnhQRK H [Ph[SX H MeJhZJ[]QR[]Op^i YampKhZJUWQuV[]jYfVmOtilde^eJ H NPQcfRJU^OeNiexcl^eJUYbnhQRK H [PhQcY9N XiacutejOb H QR[]O H MN H ZOslashJUNPYZjhZJUY H MJNtildeMe[]ZOslash[S[PJUOJUQ H m[SXyN hZJ[]QR[]OO^Egrave_[]Y H [SXyhJUfRJU~NPO H Y H N H QcY H QcbLNPf^eJUYZbnhQcK H [PhY^JLK=JUO^ H MeJZaringYZJUfVUPJUY[]O H MeJOslashhJ[]QR[]OO^ G []ZOslashJOslashJkeNSZOslashKfRJUYOtildeNihJordm[]QVUPJUOQcO G JUb^shy^ macr^ not [PhTJkWNSZOslashK-fRJSe H MeJhZJ[]Qc[]Oa^eJUYZbnhdQRK H [Phordfuuml thorn timesOslash yuml bLNPO centEgraveJTbM[]YJUOeumlNPY H MJyUiNihQcNPObnJvu centtimesOslash [SX H MeJThJ[]QR[]OOumlcopytimesOslashFeWMQcbdM[]QVUPJUYaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashj|aacute[u centtimesOslash aacutexw$ aOtilde SOtimesOslashjUcirccent atilde aumlw$ atilde aumlWMJLhZJSOtimesOslash QcY H MJyZOslashJUNPO [SX H MeJaumlhJ[]QR[]OwOumlcopytimesOslash^ G jbMaNaring^eJUYZbnhQcK H [PhQcY(ONSZaringJU^aNn5hZJ[]Qc[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhlpOslashYZQcObnJaumlQ H ^eJLKEgraveJUO^YF[]O H MeJaumlhJ[]QR[]OwOuml timesOslash ^q ObnJ H MeJTbnhdQ H JLhQR[]O QcYQcO H h[B^jbnJU^OeWNtildeJTKhZ[PKEgrave[]YJ H [ bn[]ZaringKj H J H MeJTJUP[]fcjWVH QR[]OUacuteJBjN H QR[]OT[SX H MJ0bn[]O H []jh H MN H WQsfcfZaringN`PJ0Q H JUP[]fVUPJ H [WNih^YNyacuteZaringQcOQCZIacutejFZ[SX H MeJTbnhdQ H JLhQR[]OjYZQcO[OslashNaringOeJWH0jfcJLhQcNPOZOslashJ H Me[W^O^ H XqjO^NSZOslashJUO H NPfcfVm ^QEgraveJLhYXiacutehZ[]Z2[ H MJLhFNiKKhZ[]NPbMeJUYFYZQcObnJyacuteWNtildeJ_`PJLJLK H MJ Xiacute[PhlZIacutejfcN H QR[]Oaring[SXhJ[]QR[]OY0QsOY H JUNP^[SXyhJU^jbLQcO[ H MeJWiexclMe[]fRJTKhZ[PcentfRJZ H [ centEgrave[]jO^NihYm QcO H J[PhNPfcY^gtO^JLJU^OeWFJlaquohY HQcO H hZ[W^jbnJFNiexcl^mWONSZaringQsbLNPfYZbdMeJZOslashJ(QcO H MeJ(bnhQ H JLhQc[]OIacuteNPO^ H MeJUOWFJbn[]ZaringKj H J H MeJNtildejfRJLhQcNPO`^eJLhQVUiN H QVUPJaelig[SX H MJOslashJUP[]fVUBQsO[ bnhQ H JLhQR[]O`centm`jYZQsO[ YMNiKEgraveJIacute[PK H QCZaringQVcurrenUN~VH QR[]O KhQsObLQRKfRJUY^]MQcYZOslashJ H Me[W^ KhZ[UWQc^eJUY H MeJUacuteNP^U~NPO H N[PJ H MN HH MeJ5U~NihdQcN H QR[]O[SXehZJ[]Qc[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYbnhQRK H [PhYltWQ H M H MeJFJUP[]fcj H QR[]OIacute[SX H MeJNPb H QVUPJ(bn[]O H []jhbLNPO centEgraveJOtildehZJUNP^QcfVm H N`PJUO`QcO H [ NPbLbn[]jO H ^MeJTbn[]ZOslashKj H N H QR[]Oa[SX H MJTJUP[]fcj H Qc[]OaJBjN H QR[]O`[SX H MeJIacuteNPb H QUPJtimesbn[]O H []jehOtildeQcYKEgraveJLhYXiacute[PhlZOslashJU^QcO H MehJLJyZaringNPQcO Y H JLK-Yaring

uumlnyacute|thornLyuml13 y

yenKbrvbarsect =4 acirc $ hf^ltO H hZ[W^jb H QR[]O[SX$NOslash^mWONSZaringQcbLNPfYbMeJZOslashJSaring JTYJUNihbdMX[Ph H MeJOtildeKNih H Q H Qc[]O[SX H MeJaumlQZ N[PJadOumlcopytimesOslashszliglOuml UgraveUcircUacuteUuml szligYYacutejWMQcbdMZaringQcOQuVZaringQVcurrenLJUY H MeJbnhQ H JLhQR[]Oocirc|adOumlcopytimesOslashgtszliglOuml UgraveUcircUacuteUuml szligYYacutej^eJUYZbnhQRcentEgraveJU^aeligQcOa2j^ MQcfRJNPYZYZjZaringQcO[

H MN H NPO`[PK H QZaringNPf9KNih H Q H Qc[]O JkWQsY H Ye H MJTQcYZYZjJTQcY H [ bn[]ZOslashKj H J H MQcYiexclY[]fcjWVH QR[]OO^ G QsObnJ H MeJ YJ H [SX(NPfcfy^e[]ZaringNPQsOYaumlMNPYIacuteOe[ H NaY H hjb H jehZJOslash[SXcopyUPJUb H [PhQsNPfYKNPbnJSeQ H QcYauml^Qz bLjf HUacuteH [abn[]ZOslashKj H J H MeJ ^eJLhdQVU~N H QUPJOslash[SX H MJ bnhQ H JLhQc[]ONPb|Vbn[Ph^QcO[ H [ H MJ^e[]ZaringNPQsOY^_[ bLQchbLjFZUPJUO H H MQcY`KhZ[PcentfcJZeyacuteWFJNiKKfmN H hNPOYYX[PhlZ N H QR[]O| H [ JUNPbM^e[]ZaringNPQsOOeYZjbdM H MN H Q H centEgraveJUbn[]ZOslashJUY`bn[]OWVH QcOj[]jYZfVm^eJLKEgraveJUO^eJUO H []O NPO JUP[]fsj H QR[]O KNihNSZOslashJ H JLhagrave^MeJ`bnhQ H JLhQR[]Ocent=JUbn[]ZaringJUYT^eJLKEgraveJUO^eJUO H []Obagravearingocirc|aagravejgaacute ocirc|adOumlcopytimesOslashaagravejszliglOuml UgraveUcircUacuteUuml aagravejszligYYacuteaagravejj^QO H MQcY^mBONSZaringQcbLNPfTYbMeJZOslashJSeiexclWFJ bLNPO hJUNP^QcfVm H N`PJQcO H [ NPbLbn[]jO H N K=[]YYZQRcentfRJU~NihQsN H QR[]O[SX H MeJ ^eJUYZbnhdQRK H [PhYWQ H M H MeJJUP[]fVUWQcO[ hZJ[]QR[]OYk|adOuml times j aacuteOumlcopytimesaagravej^

^QiexclJLhdQVU~N H Qc[]O [SX H MeJaumlbnhQ H JLhQc[]O jYZQcO[OslashYZMNiK=JOtilde[PK H QZaringQVcurrenUN H QR[]O H MJL[PhZJZaringYaringMeJNtildebnhdQ H JLhQR[]OocircOcircaagravej9QcY H MeJUOIacute^JLhQVUPJU^TNPbLbn[Phd^QcO[ H [5agrave H MNPO`WY H [ H MeJFbn[]ZaeligVKj H N H QR[]Oeuml[SX H MeJ0jfRJLhQcNPOeuml^eJLhQU~N H QVUPJaelig[SX_ocircjYZQcO[YZMNiKEgraveJaelig[PK H QZ QVcurrenUN H QR[]OKhQcObLQcKfRJUYeOWMQcbMQcYIacuteOJWQsO H MeJNihZJUN [SXNPb H QVUPJ bn[]O H []jehY^$ YXqNihOslashNPYH MeJF^JLhQVUiN H QR[]OTQcYbn[]ObnJLhOeJU^e H MeJU~NihdQcN H QR[]OIacute[SX H MeJF^JUYZbnhQRK H [PhdYWQ H M H MeJJUP[]fVUBQsO[OslashhZJ[]QR[]OY_Oumlcopytimesaagravej(NPO^Y[ordmWQ H MagravetZIacutejY H centEgraveJ H N`PJUOaQcO H [aringNPbLbn[]jO H ^

^vF[]ZOslashKj H N H Qc[]O [SX H MJaumlJUP[]fcj H QR[]OJjN H Qc[]OXh[]Z H MeJauml^eJLhQU~N H QVUPJSaringnot hZ[]Z H MeJNtilde^JLhQVUiN H QVUPJSeWFJNtilde^eJU^jbnJ H MeJUPJUfR[WbLQ H mordfUPJUb H [Ph$[SX H MeJFNPb H QVUPJbn[]OWVH []jeh H MN H WiexclQcfcfZaringN`PJQ H JUP[]fUPJiexclNPYXqNPY H NPY$KEgrave[]YZYQRcentfRJ H [WNih^YNtildeNgZaringQcOQCZIacutejFZ[SX H MeJOtildebnhQ H JLhdQR[]OO^ObLNPYJUacute[SX9hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhYe H MeJUacuteJUP[]fcjWVH QR[]OeumlJjN H QR[]Oeuml[SX H MJaringNPb H QVUPJaringbn[]O H []jhTQcYOtilde^QEgraveJLhZJUO H XhZ[]Z H MJtimes[]OJaringbn[]ZaeligVKj H JU^ Xiacute[Ph hZJ[]QR[]OWV4QcO^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhY^ G []ZOslashJ`NP^^Q H QR[]ONPf H JLhZaringYNiKKEgraveJUNihiexclNPO^`Y[ Q H QcY[SX$KhdQZOslashJaumlOeJUbnJUYZYQ H m H [bn[]OYZQc^JLh H MeJ H WNtilde[o`WQcO^Y([SX^eJUYZbnhQRK H [PhY(YJLKNihN H JUfmS^

9J H jYFOe[ H J H MN HFH MQcY[PJUOeJLhNPfKXiacutehNSZOslashJWF[PhY` bLNPO centEgraveJNiKK-fcQRJU^ H [ordmZaringNPOm ^QEgraveJLhVJUO H NiKKfsQcbLN H QR[]OYcentm[]OfVmbMNPO[]QsO[ H MeJT^eJUYbnhQRK H [PhY^ H MNPYcentEgraveJLJUOOe[ H NicentfmNiKK-fcQRJU^ H [ordmZOslash[UBQsO[aelig[Pcent~5JUb H Y(^J H JUb H QR[]O QcOoUBQs^eJL[timesYZJjeJUObnJUY(NPbjQchZJU^ JUQ H MeJLhWQ H MN Y H N H QcbawS]JUMNPOWV4XFJUYZY[]O J H NPfd^Ve sSs fLbjiexcl[PhUacuteNregZOslash[Pcent-QcfRJTbLNSZOslashJLhdNawS]JUMNPOWVXFJUYZY[]O J H NPf)^Ve sSs fncentj^ JUYZbnhQRK H [PhdYoZ Nm NPfcY[centEgraveJ YJBjeJUO H QcNPfcfVm jYJU^ H [QZaringKhZ[UPJ H MeJu-ONPfBhZJUYZjf H NPYyQ H MNPYampcentEgraveJLJUOaeligKh[PK=[]YZJU^timesQsOtawSPJUMNPOWV4XFJUYZYZ[]OOslashJ H NPfd^VesSs fLNOgravej^^f^~OacuteETHEgraveKEacute18=KETH32EacuteltOacuterEacute0frac34Ntilde83ltOacuteONtildeshyIacute=gtNtildeshyEumltIcirc=39IgraveFIacute5Igrave O QZaringN[PJumlOtildegta2atildeltszligaumlj QcYNxXqjOb H QR[]O ^eJOJU^ Xiacute[Phpounda2atildeshyszligaumlFj OumlOcirccenteuWMeJLhZJOumloslashQcY H MeJ QZaringN[PJ ^e[]ZaringNPQcOO^ltMeJ QCZaringN[PJ ^e[]Z NPQcOQcYIacutebn[]OYZQc^eJLhJU^ H [ cent=JZaringNP^eJjeK`[SX H WF[KNih H Ylaquoa not Q[^fjaring H MJyXiacute[PhZJ[PhZ[]jO^`KNih H bn[]O H NPQsOQcO[ H MeJT[Pcent~JUb H Y H [

uumlnyacute|thornLyuml13

f s $amp)(+-)013021+345627893lt=gt9A6CBYJ[]ZaringJUO H e=Oe[ H JU^frac34OumlcopytimesOslashFe-NPO^ H MeJaumlcent-NPbY`[PhZ[]jO^aKNih H Oe[ H JU^Ouml UgraveUcircUacuteUuml ^MeJauml^QcYZbn[]OWVH QcOBjQ H m`YJ H QcYOtildeNbLjehlUPJ Oe[ H JU^bYacute H MN H ^JOeJUY H MeJ cent=[]jO^NihYmcentEgraveJ H WNtildeJLJUO H MeJH WNtilde[ ^[]ZaringNPQcOY^ J H MJUOaYJUNihbdMtXiacute[Ph H MeJ H WNtilde[^e[]ZaringNPQsOYyacuteOuml UgraveUcircUacuteUuml NPO^wOumlutimes OslashWMQcbdMtZaringQcOQZaringQVcurrenLJ H MeJbnhQ H JLhQR[]Oocircuml[]QVUPJUOcentmumla2jehZJZaringQcO^eJU^ MeJLhZJSaring

ocirc|adOuml UgraveUcircUacuteUuml szliglOumlcopytimesOslashgtszligYYacuteQjumlaacute uuml thorn UgraveUcircUacuteUuml yuml a2atildeltszligaumlgtszliglOuml UgraveUacuteUuml j atilde auml $ uuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOuml timesOslash j atilde aumlamp uacuteucirc thorn yuml uuml thorn otilde)yuml a2atildeshyszligaumlFj THORN5OaumlbnhQ H JLhdQR[]Oa2je H MeJ|hY HH WNtilde[ H JLhlZaringY9NihJyhZJ[]QR[]OWVcent-NPYJU^ordfWMQsfRJ H MeJ H MQRhd^ H JLhlZQcYcentEgrave[]jO^NihYmVcentNPYJU^O^MeJiexclXqjOb H QR[]OYyacuteuuml thorn UgraveUcircUacuteUuml yuml egtuuml thorn timesOslash yuml NPO^tuuml thorn otilde)yuml NihZJaumlhZJUYKEgraveJUb H QVUPJUfmH MeJ^eJUYZbnhdQRK H [PhY[SX H MeJFcentNPbl`[PhZ[]jO^timesKNih H ei[SX H MeJ[Pcent~JUb H Y H [OtildeYJ[]ZOslashJUO H NPO^Iacute[SXH MeJaumlbn[]O H []jeh^KMeJauml^eJUYbnhQRK H [PhYuZ Nm centEgraveJordf[]fR[PcentNPfcfm N HH NPbMJU^ H [ H MeJOtildeJUP[]fVUWQcO[hZJ[]Qc[]OY(NPO^Y[ ^eJLKEgraveJUO^ []Ofrac34Ouml timesOslash [Ph5OumluUgraveUcircUacuteUuml^

G QcObnJ H MeJaringYJ H [SXNtildeNPfsf$^e[]ZaringNPQcOYUacuteMNPYOtildeO[ H N Y H hjb H jehJtimes[SXUPJUb H [PhQcNPfyYZKNPbnJSeWFJIacutebLNPOeumlOe[ H bn[]ZOslashKj H J H MeJaelig^eJLhQVUiN H QVUPJT[SX H MJIacuteKhJUBQR[]jYbnhQ H JLhdQR[]OaNPbLbn[Ph^QcO[H [euml^e[]ZaringNPQcOY^ltMJLhZJX[PhJSe H [bn[]ZOslashKj H JNPO[PK H QZaringNPfFY[]fcj H Qc[]OOe9Neuml^mWONSZaringQcbLNPfYZbdMeJZOslashJOtildeQcYQcO H hZ[W^jbnJU^WMeJLhZJJUNPbM^[]ZaringNPQcO cent=JUbn[]ZaringJUY(bn[]O H QcOBje[]jYfVm ^eJLKEgraveJUOWV^eJUO H []ONPO JUP[]fcj H QR[]O KNihdNSZOslashJ H JLhagrave^59[ X[PhZaringNPfcQVcurrenLJ H MQcYQc^eJUNe WNtildeJxZaringNmYZjKKEgrave[]YJ H MN HTH MJ JUP[]fcj H Qc[]OKhZ[WbnJUYZYtimesQcY H [ H NPfsfVm^eJ H JLhlZaringQcOJU^centm H MJ JkeQcY5VH JUObnJiexcl[SXgNyXqNSZaringQcfmIacute[SXgNiKK-fcQcbLN H QR[]OY| H MN HNtildeH hNPOYXiacute[PhlZaringY H MeJiexclQsOQ H QcNPfe^e[]Z NPQcOYOumlcopytimesOslashgta s jNPO^tOuml UgraveUcircUacuteUuml a s jQsO H [ H MeJIacutebLjehZhZJUO H ^e[]ZaringNPQcOYyacuteOumlcopytimesOslashKaagravejNPO^frac34Ouml UgraveUcircUacuteUuml aagravejaring

OumlutimesUcirca s j ntilde OumlcopytimesaagravejYacutea s j ntilde Yacuteaagravej WiexclMeJLhZJVQaacuteiV[Ph Kf5 iumlMBjY H MeJOtildehJ[]QR[]OY(JUP[]fVUPJ H [WNih^YiexclNPO [PK H QZaringNPf9Y[]fcj H QR[]O^MeJ H hQRKfcJ H Ouml UgraveUcircUacuteUuml aagravejszliglOumlcopytimesOslashOaagravejszligYYacuteaagravejordmZIacutejY H NPb H NPYNregZaringQcOQZ QVcurrenUQcO[TYZJjeJUObnJgX[Phocirc|adOuml UgraveUcircUacuteUuml szliglOumlcopytimesOslashszligYYacutejWiexclMeJUOagrave JUP[]fVUPJUY^MeJ5XqjOb H QR[]ONPfOocircOcircadOuml UgraveUacuteUuml aagravejszliglOumlcopytimesOslashaagravejszligYYacuteaagravejjMNPY H [ bn[]OOgraveUPJLhY[PJ H [WNih^Y H MeJpoundZaringQcOQCZIacutejFZ UiNPfcjeJeuml[SXregocirc2NPYfrac34agraveacircntilde ograveegrave^ MeJbnhQ H JLhQR[]O H MeJUO centEgraveJUbn[]ZOslashJUYaring

ocirc|adOuml UgraveUcircUacuteUuml aagravejszliglOumlcopytimesOslashaagravejszligYYacuteaagravejjaacute thorn yuml uuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszliglOuml UgraveUcircUacuteUuml aagravejj atilde auml 5$ thorn yuml uuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashKaagravejj atilde aumlj uacuteucirc thorn yuml uuml thorn otilde)yuml a2atildeshyszligaumlFj THORN adh]jMJoXqjOb H Qc[]ONPf_ocircOcircadOumlyacuteUgraveUacuteUumllaagravejszliglOuml timesOslash aagravejszligYYacuteaagravejjaeligQcY H MeJLhZJUNX H JLh O[ H JU^egraveocirc|aagraveje0NPO^H MeJ ^eJUYZbnhQcK H [PhYuuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashKaagravejj NPO^icircuuml thorn UgraveUcircUacuteUuml yuml a2atildeltszligaumlgtszliglOuml UgraveUcircUacuteUuml aagravejjaringNihZJ`hZJUYKEgraveJUb|VH QVUPJUfmUacuteO[ H JU^laquouuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejgNPO^laquouuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszligYagravejeWMQcbdMTfRJUNP^Y H [ H MeJXiacute[]fcfR[WQcO[

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ fSfJkWKhZJUYZYQR[]OOaring

ocirc|aagravejumlaacute thorn yuml uuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszligYagravej atilde auml $ thorn yuml uumlgtthorn timesOslash yuml a2atildeltszligaumlgtszligYagravej atilde aumlj uacuteucirc thorn yuml uumlgtthorn otilde)yuml a2atildeshyszligaumlFj THORN af s j5OOtildebn[]O H hdNPY H WQ H MUacute[ H MeJLh9NPb H QVUPJFbn[]O H []jehdY9NiKKh[]NPbMeJUYe H MeJy^mWONSZaringQcbLNPfPYZbdMeJZOslashJQcYtimesMeJLhZJ^QRhJUb H fVmQcO H h[B^jbnJU^QcO H MeJbnhQ H JLhQc[]OO^ Q H MYZjbdMNeumlYZbdMeJZOslashJSe H MeJQcO H hZ[W^jb H QR[]OOacute[SXiexclNPO NPb H QVUPJbn[]O H []jehOslashJUP[]fVUWQcO[ WQ H Msup1agraveQcYaeligY H hNPQ[]M H Xiacute[PhYWNih^O^iexclJUObnJ WNtildeJbn[]OYZQc^eJLh H MN H Yacuteaagravej QsYoZaring[B^eJUfsfRJU^ NPY NPO NPb H QUPJOacutebn[]O H []jh H MN Hbn[]OUPJLhY[PJUY H [WNih^Y H MJgONPfEgraveJkWKEgraveJUb H JU^YJ[]ZOslashJUO H N H QR[]OO^9J H Yacutea s jtimescentEgraveJ H MeJQcOQ H QcNPfNtildebLjhYUPJa^eJOJU^centm H MeJjYJLh^ JahZJUbLNPfcf H MN H WFJYJUNihdbMtXiacute[Ph YacuteaagravejNPYNaringbLjehlUPJaumlJUP[]fVUWQcO[aringNPbLbn[Ph^QsO[ H [ H MeJgXiacute[]fcfR[WQcO[ordm5 aringaelig YacuteadTHORNOgraveszligYagravejaelig agrave aacuteegraveeuml WiexclQ H MigraveYacutea s j|aacuteegraveYacuteshyiacute afSfjWMJLhZJ_euml`QcY H MJ_UPJUfR[WbLQ H mUPJUb H [Ph([SX H MeJUacuteNPb H QVUPJOtildebn[]O H []jh^MeJ_Z NPQcO KhZ[PcentfRJZfcQcJUYFQsO-O^QcO[ H MeJiexclUPJUfR[WbLQ H meumlXhZ[]Z H MJUacutebnhdQ H JLhQR[]Opoundaf s jFQcO [Ph^JLh H [ordm[PJ HH MeJXqNPY H JUY H bLjhYUPJaumlJUP[]fcj H Qc[]O H [WNih^Y H MeJordfONPfYJ[]ZaringJUO H N H QR[]O^^ ^iexclEacuteltIacuteETHNtildeFETHEacuteshyOacute Eacute10wETH9Igrave8ltIgraveFEgravegt+NtildeFETH3gt+ltIgraveumlEacute10frac34ETH9Igrave=KEgrave13ETHIgraveFEgraveEacuteshyOacute5Oeuml[Ph^eJLh H [ [Pcent H NPQsO H MeJOslashJUP[]fcj H QR[]OeumlJBjN H QR[]Oe H MeJaringbnhQ H JLhQc[]OxocircOcircaagravej5ZtimesjY H centEgraveJ^QV=JLhZJUO H QcN H JU^WQ H MhZJUYKEgraveJUb H(H [agrave^MeJOtildeQcO H J[PhNPfcentEgrave[]jO^Y^eJLKEgraveJUO^ []Otagrave NPO^H MeJauml^JUYZbnhQRK H [PhdYyacuteuuml thorn UgraveUcircUacuteUuml yuml a)jNPO^wuuml thorn times Oslash yuml a)juZaringNm NPfcY[aring^JLK=JUO^[]Otagrave^9J H jY^eJOJ H MeJordfXiacutejOb H QR[]ONPfuumlOa2atildeltszligaumlgtszligYagravejYZjbM H MN H aring

uumlOa2atildeltszligaumlgtszligYagravej|aacute uuml thorn UgraveUacuteUuml yuml a2atildeltszligaumlgtszligYagravej QVXcopya2atildeltszligaumljwOuml UgraveUcircUacuteUuml aagravejuuml thorn times Oslash yuml a2atildeltszligaumlgtszligYagravej QVXcopya2atildeshyszligaumlFjtOumlcopytimesOslashKaagravej af jMJbXqjOb H QR[]ONPfuuml thorn UgraveUcircUacuteUuml yuml a)jNPO^Huuml thorn times Oslash yuml a)j`NihZJ^eJOJU^ []O H MeJxWMe[]fRJ7QZaringN[PJ^e[]Z NPQcOtOumliexcl^FMeJUOe H MeJaumlbnhQ H JLhQc[]OocircOcircaagravejuWhQ H JUY(NPYaring

ocirc|aagravejOcircaacute uacute uumlOa2atildeshyszligaumlKszligYagravej atilde aumlj uacuteucirc thorn yuml uumlgtthorn otilde)yuml a2atildeshyszligaumlFj THORNordfaacuteocirc aagravej ocirc cent aagravej af]jWMJLhZJgOuml QcY H MeJaumlQCZaringN[PJT^e[]ZaringNPQsOOeeNPO^Oaring

ocirc aagravej|aacute uacute uumlOa2atildeshyszligaumlKszligYagravej atilde aumlocirc cent aagravejOcircaacute uacuteucirc thorn yuml uuml thorn otilde)yuml a2atildeshyszligaumlFj THORN

uumlnyacutenthornnyumll13YSordmY_F

f $amp)(+-)013021+345627893lt=gt9A6CB5OOtilde[Ph^eJLh H [bn[]ZaringKj H J H MJ0^eJLhQVUiN H QVUPJy[SX H MJNtildebnhQ H JLhdQR[]Olaquoocirc aagraveje H MJNtilde^QcYbn[]O H QcOBjWVQ H QcJUY|ZtimesjY H JkWKfcQcbLQ H fVmIacutecentEgraveJ H N`PJUOQcO H [IacuteNPbLbn[]jO H ^ not [Ph(YZjbdM NIacuteKjehZKEgrave[]YJSeSWFJ5hY HhZJUbLNPfsf-N[PJUOeJLhNPf H MeJL[PhJZbn[]ObnJLhOQcO[ H MeJUacute^eJLhQVUiN H QVUPJ[SX9N H QZOslashJnV4^eJLKEgraveJUO^JUO HbnhQ H JLhQR[]OO^9J H jY(^eJ-OeJyOumlcopytimesaagravejNPYNOslashhZJ[]Qc[]OQcObLfcj^eJU^QcO H [regOumlordf^yacute5 q Ntilde_ f^1ltuumlStimesBiexcl centpoundcurrenyencurrenbrvbarsectumlordfcopynotlaquo3shyyenLregmacrcurrenRlaquodegcurrenbrvbarlaquo Oumlplusmna s szligsup2|iexcljsup3acute Rlaquomicromiddotparagtltocirc|aagravejOcircaacute w thorn yuml uumlStimesYa2atildeltszligaumlgtszligYagravej atilde auml~sup3cedilsectsup1ltlaquoordm ocirc agrave aacuteocirc7raquodaagravejOcircaacute thorn yuml aelig uumlStimesaelig agrave atilde auml uacutefrac14 thorn yuml uumlStimesYafrac34frac12 eacuteAgraveiquestsup1AacuteAtildeAcircYj THORNAuml sectsup1ltAringPfrac12AEligreg(centsectsup1Ccedilbrvbar_paracurrenyenshyltregLLEgraveacutecurrensup2uml aelig Oumlcopytimesaagravej RlaquomicroeacuteAgraveiquestsup1AacuteAtildeAcircEacuteregEcirccentsectsup1copysup1laquoregEumlreg(laquo Auml brvbarAringsup2microacutelaquocurrenRAringordfpound RparaIgravecurren aelig Oumlcopytimesaagravej_IacuteMJ^JLhQVUiN H QVUPJ[SXshyocircWQ H MaelighZJUYZK=JUb HampH [yagraveaeligQcY H MJyacute0jfRJLhdQcNPOIacute^JLhQVUiN H QVUPJ([SXocirc|adOumlcopytimesAjQcO H MeJOtilde^QRhJUb H QR[]O [SXEumlfrac12umleWMQcbdM bn[]ZaringKj H N H QR[]O QcY[]QVUPJUO QsO iexclKKEgraveJUO^Qkaring ^FMeJUiNihQcN H QR[]Oeuml[SX5ocirc QcYOtilde^jeJ H [ H MeJUiNihQcN H Qc[]O[SX H MeJordmXiacutejOb H QR[]ONPfOcircuuml]timesa2atildeltszligaumlgtszligYagravejaumlNPO^H [ H MeJgZOslash[ H Qc[]O[SX H MeJOtildeQcO H J[PhNPf^e[]ZaringNPQsOOumlutimesaagravej^ Y(Naeligbn[PhZ[]fcfcNihYm [SXltMJL[PhZJZfeFWFJordf[PJ H aringv q q shy9 5lt f^yenIcirccopyNcentampcentcopyIuml-Iumlsup1currenfcentyenYsectnot -sectsup1Ymicro-currenRpound Rreglaquofrac34Oumlgaagravejampreg(centpound -microETHcopyIumliexclcurrensup2uml Auml currenCIuml RAringordfcentsup3yOuml timesOslash aagravejNtilde RlaquomicropoundOumlyacuteUgraveUacuteUumllaagravejOgravecentyenfrac34Iumlsup1 brvbarAringsup2 brvbarmicro_Egraveh iexclpoundYcurrenbrvbarCcedildreglaquoNOacutehreglaquo5_Aringumllt -shytYacuteaagravejAuml sectETHregmacrshy_sectOcircCcedilRltparaOtildecurrendshyltregLLEgraveregEcirccentyacuteeumlEumlIacuteOumlsectsup1Uumlordfcopynotlaquo3shyyenLregmacrcurrenRlaquouumlOa2atildeltszligaumlgtszligYagravejreg(centcentordfcopyIuml-Iumlsup1currenfcentyenmicroOcircIgravecurrenOcirccentltfrac34Iuml RAringsup2 -_paraEgraveshycurrenRlaquo5LreglaquocopycurrenRcopynotcentcedilreglaquoyOumlcopytimesOslashKaagravejW Rlaquomicro Ouml UgraveUcircUacuteUuml aagravej_copy3pound REgraveampJmicrobrvbarregEcirccentltshycurrenRlaquo5LreglaquocopycurrenRcopynotcentJ -shyltAringPcurrenfcentcentYacuteaagravej_Iacutetimes Agravelaquocurrenbrvbaruuml thorn times Oslash yuml Rlaquomicroruuml thorn UgraveUcircUacuteUuml yuml sup3sectsup1Ccedilf brvbarparacopy5iexclcurrensup2umlwuumlreglaquoOslashAringordfcentIumlshydLreg(Ccedilbrvbar_paraEgraverOumlutimes OslashaagravejAgrave Rlaquo3microOuml UgraveUcircUacuteUuml aagravej_IacuteUgraveOumlsectNcopyNcentampsectmicroETH_Aringordfreg(CcedilR brvbarLregCcedilRcurrensup2umlordfocirc|aagravej Auml AringregLordfcent fcent_ordm

ocirc7raquo)aagravejOcircaacuteUacute thorn yuml aelig uumlaelig agrave atilde auml uacutefrac14 thorn yuml uumlOaLUcirc eacute iquestsup1Aacute j THORN uacuteucirc thorn yuml uumlNaeuml eacuteHj THORNAuml sectsup1ltAringPacute uumlNAringfrac34Iuml3AringP_centlt_laquocentYsectUumlordfcopysup1poundUgraveIumlcurrensup2umlguumlh -shyltAringPcurrenfcentcentordfYacuteaagravej_ordmW uumlNaacuteacircuuml thorn UgraveUacuteUuml yuml uuml thorn times Oslash yuml sup3eacute sectsup1ncopynotlaquo5reglaquo3currenRAringpound RparaIcirccurrensup2umlordfYacuteaagravejmicrobrvbarreg(AringshydmicroampumlAringPcurrenRpound Ouml UgraveUacuteUuml aagravejIgravecurrenOumlutimes OslashKaagravejsup3eacuteAgraveiquestsup1Aacutesectcopysup1laquoregLEumlreglaquo Auml RAringPmicroOcirclaquocurrenRAringordfpound Rpara1Igravecurren aelig Oumlgaagravejj RlaquomicroUcircYacutesectsup1jCcedilbrvbar_paracurrenyenshyltregLLEgravenCcedilbrvbarshydIgravecurrenRAringjcurrensup2uml_Oumlyaagravej_Iacute

plusmngLMOMraquo aring JbLNPO NiKKfVm MJL[PhZJZ f H [ H MeJ ^[]ZaringNPQcO Oumlutimes OslashaagravejaringNPO^ H [ H MeJ^e[]Z NPQcOtOuml UgraveUcircUacuteUuml aagravej^ ^^QcO[ H MeJ H WF[aringJjN H QR[]OYeFWFJOtilde[Pcent H NPQcO H MeJTbn[PhZ[]fcfsNihYmS^ H QcYIacuteOe[WY H hNPQ[]M H Xiacute[PhYWNih^ H [[PJ HtimesH MeJ ^eJLhdQVU~N H QUPJ [SX H MeJ bnhQ H JLhQR[]O ocirc aagravejaringWFJ H N`PJ5OumlyaagravejOcircaacuteAumlOuml H MeJiexclQZaringN[PJ^e[]Z NPQcOta not QV[^ j^MJUOOePcentmaeligJkWKfcQcbLQ H fVm H N`WQcO[

uumlnyacutenthornnyumll13YSordmY_FY

yenKbrvbarsect =4 acirc $ fH MeJtimes^QcYZbn[]O H QcOBjQ H QRJUY(QsO H [ NPbLbn[]jO HUacuteH MNPOF`BY H [ H MeJtimesbn[PhZ[]fcfcNihlmSe H MeJtimes^eJLhQVUiN H QVUPJ[SXocirc aagravejQcYcopy[]QVUPJUOacentmKaring

ocirc raquo aagravejumlaacute uacuteucirc thorn yuml uumlNaeuml eacutej THORN uacutefrac14 uumlOaLUcirc eacuteAgraveiquestsup1Aacutej THORN $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde auml thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afj

q centUWQR[]jYZfVmSe H MeJ7YJUbn[]O^ H JLhlZ [SX H MeJ7^eJLhQVUiN H QVUPJ afjaQcYcurrenLJLh[ YZQcObnJ H MeJJk H JLhONPf(centEgrave[]jO^NihYm aelig OumlD[SX H MeJ`QZaringN[PJaQcYkBJU^^OcircJLKfcNPbLQsO[` uumlN_WQ H MQ H YJkWKhZJUYZYQR[]OOeWNtildeJyO^Oaring

ocirc7raquo aagravejumlaacute uacuteucirc thorn yuml aduuml thorn UgraveUcircUacuteUuml yuml1 uuml thorn timesOslash yuml jaeuml eacuteHj THORN $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde auml thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afmacr]jMJUacute^JLhQVUiN H QVUPJOtilde[SXocirc cent aagravejQcY(bLfcNPYZYQcbLNPfdaring

ocirc7raquocent aagravejOcircaacute uacuteucirc thorn yuml a uuml thorn otilde)yumld huuml thorn otilde)yuml7 eacutejaeuml eacutej THORN af]jWMJLhZJ a2atildeshyszligaumlKszligYagravejQcY H MeJaumlbLjehlU~N H jehJ[SXQYacutea2atildeltszligaumlgtszligYagravej^MeJLhZJXiacute[PhZJSe H MeJOtilde^eJLhQVUiN H QVUPJ[SX H MeJgWM[]fRJOtildebnhQ H JLhQR[]O QsY H MeJordfXiacute[]fcfR[WiexclQcO[aring

ocirc raquo aagravejpoundaacute $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde aumlamp thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afzSj uacuteucirc thorn yuml aduuml thorn UgraveUcircUacuteUuml yuml uuml thorn timesOslash yuml uuml thorn otilde)yuml huuml thorn otilde)yuml eacutejaeuml eacutej THORN

^ ^~THORNUgrave2FEgraveOIgraveIcircIcirclt2EacuteltOacute Eacute0frac34ETH9Igrave8shyIgraveFEgraveEcirc+NtildeFETH3Ecirc+ltIgraveNtilde7==EacuteltEgrave7813Oacute14 ETHOEacute ETH9IgraveOacuteszligltOacuteshyEacuteOacuteAgrave+QIgraveFEumlEacuteAtilde=13ETH+ltIgrave5=KETHOEacuteshyEgravesup1euml5Oaelig[Ph^eJLh H [Tbn[]ZaringKj H J H MeJuUPJUfR[WbLQ H mUPJUb H [PhcopyeumleSWNtildeJMNUPJ H [yZ N`PJQ H NiKKEgraveJUNihyQcOH MeJhY HH WF[ ^e[]Z NPQcOaQcO H J[PhNPfcYiexcl[SX afzSjcentmJkWKhZJUYZYQcO[ H MeJZ NPY_XiacutejOb H QR[]OY[SX H MeJgUPJUfR[WbLQ H meumlQ^iexclJLhZJiexclWFJ H N`PJ H MeJ5[PJUOeJLhNPfbLNPYZJ5WiexclMeJLhZJ H MeJ^JUYZbnhQRK H [PhdYZaringNm ^eJLKEgraveJUO^ []OXiacuteJUN H jehZJUY5[]fR[PcentNPfsfVmN HH NPbMeJU^ H [ H MJtimeshJ[]QR[]OeumlNPO^eumlY[oZ Nm`^JLK=JUO^a[]O agrave^ JZOslash[W^eJUf$JUNPbdM^eJUYZbnhQRK H [PhIacuteNPYtimesNabn[]ZIacutecentQcON H QR[]OOacute[SXuXJUN H jhZJUYy[]fc[PcentNPfcfVmeumlN HH NPbMeJU^

uumlnyacutenthornnyumll13YSordmY_F

f $amp)(+-)013021+345627893lt=gt9A6CBH [ H MJOtildeJUP[]fVUBQsO[OslashhZJ[]QR[]OY_OumlcopytimesOslashKaagravejF[Ph_Ouml UgraveUacuteUuml aagravejaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejpoundaacuteAElig thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn timesOslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejszligiumlViumlViumlVszligagrave thorn timesOslash yumlaacute aagravejjuuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszligYagravejpoundaacuteAElig thorn UgraveUcircUacuteUuml yuml a2atildeltszligaumlgtszligagrave thorn UgraveUcircUacuteUuml yuml aagravejszligagrave thorn UgraveUcircUacuteUuml yumlcent aagravejszligiumlViumlViumlVszligagrave thorn UgraveUcircUacuteUuml yumlacirc aagravejjafi]j

WMJLhZJSaring agrave thorn(atilde yumlauml aacute 7aring thorn yuml5aelig thorn(atilde yumlauml a2atildeltszligaumlgtszligYagravej atilde auml WQ H Mpounda jOcircaacuteacircaVltjF[Pha Kf5 jiuml afh]j9J H jYuhY H bn[]ZOslashKj H J H MeJIacute^eJLhQVUiN H QVUPJOtilde[SXuuml thorn timesOslash yuml eFWFJgO^Oaring

aelig uuml thorn times Oslash yumlaelig agrave aacute aacuteccedilaumlegrave aelig thorn timesOslash yumlaelig agrave thorn times Oslash yumlauml a2atildeltszligaumlgtszligagrave thorn timesOslash yuml aagravejszligiumlViumlViumlVszligagrave thorn timesOslash yumlaacute aagravejj aelig agrave thorn timesOslash yumlaumlaelig agrave aagravej a s j J MNUPJOe[W H [bn[]ZOslashKj H J H MeJ ^eJLhdQVU~N H QUPJ [SXagrave thorn timesOslash yumlauml NPbLbn[Ph^QcO[ H [umlagrave^ JNiKK-fVm H MeJgMeJL[PhZJZigravefaumlNPO^WNtildeJy[PJ H aring

aelig agrave thorn timesOslash yumlaumlaelig agrave aacute $ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde auml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacutej THORN a fj

JLKfcNPbLQcO[ H MeJNtilde^eJLhdQVU~N H QUPJUY9[SX3agrave thorn timesOslash yumlauml WQ H M H MeJUQRhJkWKhZJUYZYZQc[]OYa fj9QcOa s jeSWFJ[Pcent H NPQsO H MJXiacute[]fcfR[WQcO[iexclJkBKhJUYZYZQR[]OX[Ph H MJF^e[]Z NPQcOaeligQcO H J[PhdNPf[SX H MeJ^eJLhQVUiN H QVUPJ[SX H MeJT^eJUYbnhQRK H [Ph uuml thorn times Oslash yuml aring

$ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde aumlacircaacute aacuteccedilaumlordfegrave -eacute thorn timesOslash yumlauml $ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde auml

aacuteccedilaumlordfegrave eacute thorn timesOslash yumlauml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacuteHj THORN a S jWMJLhZJSaring

eacute thorn timesOslash yumlauml aacute $ thorn yuml aelig thorn timesOslash yumlaelig agrave thorn timesOslash yumlauml a2atildeltszligaumlgtszligagrave thorn timesOslash yuml aagravejszligiumlViumlViumlVszligagrave thorn times Oslash yumlaacute aagravejj atilde auml a ]jMJIacuteJkWKhZJUYZYQR[]OwXiacute[Pha jyacuteaacute a Kf jiexclQcYbn[]ZOslashKj H JU^QsO H MeJaeligYZNSZOslashJordmZaringNPOOeJLhiexclWMQcfRJKNmBQsO[N HH JUO H Qc[]O H [ H MeJ`^QRhZJUb H QR[]O[SX H MeJ`Oe[PhlZaringNPfcopyUPJUb H [PheNPO^rWFJ H MBjY

uumlnyacutenthornnyumll13YSordmY_Fsup2

yenKbrvbarsect =4 acirc $ fmacr[Pcent H NPQsO H MeJg[PJUOeJLhNPfgJkBKhJUYZYZQR[]OXiacute[Ph H MeJauml^JLhQVUiN H QVUPJOtilde[SXocircOcircaagravejaring

ocirc raquo aagravejumlaacute uacuteucirc thorn yuml aduumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn times Oslash yuml uumlgtthorn otilde)yuml d hreguumlgtthorn otilde)yuml eacuteHjaeuml eacutej THORN aacuteccedilaumlordfegrave eacute thorn timesOslash yumlauml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacuteHj THORN acircccedilaumlordfegrave eacute thorn UgraveUcircUacuteUuml yumlauml uacuteucirc thorn yuml aelig thorn UgraveUcircUacuteUuml yumlauml aeuml eacutej THORN aacuteccedilaumlordfegrave -eacute thorn timesOslash yumlauml $ thorn yuml aelig aelig thorn

timesOslash yumlaumlaelig agrave atilde auml acircccedilaumlordfegrave eacute thorn UgraveUcircUacuteUuml yumlauml thorn yuml aelig aelig thorn

UgraveUcircUacuteUuml yumlaumlaelig agrave atilde auml a j^ ^ecirccopyEgraveEacuteshyIacuteIumlETH39shyIgrave8shyIgraveFEgraveEcirc+NtildeFETH3gt+QIgraveETHOEacute3iexclNtildeshyEgrave78QIcircETH9IgraveumlIgrave+EacuteltEumlETHshyETHEacuteshyOacuterIgrave5euml1ONtildeFETH32EacuteltOacuteEacute10wETH9Igrave Ntilde=KETH3gt+ltIgrave=EacuteshyOacuteshyETHEacute1EgraveMJ[P[]NPf[SX H MQsYampKNih H QcY H [aumlbn[]ZOslashK-j H J H MeJ(JkWKhZJUYZYZQc[]Oaelig[SX H MeJuUPJUfc[BbLQ H mUPJUb H [PheumlwWMQcbdMregZaringN`PJUY H MeJUacutebLjehYUPJJUP[]fVUPJOtildeNPYXiacuteNPY H NPYFKEgrave[]YZYZQRcent-fRJ H [WNih^Y(NZaringQcOQCZIacutejFZ[SX H MeJaeligbnhQ H JLhdQR[]Oumlocirc^KO`[Ph^eJLh H [ ^JU^jbnJ H MJyUPJUfR[WbLQ H mwUPJUb H [PhOtilde[SX H MeJaeligNPb H QVUPJbn[]O H []jehQXhZ[]Z H MeJF^eJLhQVUiN H QVUPJ0[SX H MeJNtildebnhQ H JLhQR[]OOeWFJMNUPJ H [5Z N`PJFNiKKEgraveJUNih H MeJUPJUfR[WbLQ H moUPJUb H [PhUacuteQcO H MJTfcNPY HH WNtilde[ ^e[]ZaringNPQcOaQcO H J[PhdNPfcY(centm JkWKhZJUYYZQcO[ H MeJZ NPYcentEgrave[]jO^NihYm QcO H J[PhNPfcY^FMQcYbLNPOaJUNPYZQcfVm centEgraveJauml^e[]OeJTjYZQcO[MJL[PhZJZigravefe-^[]ZaringNPQcOQcO H J[PhNPfcYbLNPOeumlNPfVWNmWYiexclcentEgraveJIacuteJkBKhJUYZYJU^ NPYcentEgrave[]jO^NihYm QcO H J[PhdNPfcY^gtiexcl[WFJUPJLheOXiacute[PhYZQCZOslashKfcQcbLQ H mSe-fcJ H jYbn[]OYZQc^eJLh H MeJaringbLNPYJUYgWMeJLhZJ H MeJUYJOslashfcNPY HH WNtilde[`QcO H J[PhdNPfcYOtildeNihZJJBjNPf H [currenLJLhZ[eOgraveWMQcbMaringMNiKKEgraveJUOYX[PhZOslash[]Y H hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhdQRK H [PhY^S5OH MN H bLNPYJSeNPbLbn[Ph^QsO[ H [ H MeJaeligQcOeJBjNPfcQ H m[SXvNPjbdMOgravemV G bdMOgraveWNih H currenSe H MeJXiacuteNPY H JUY H^eJUbnhJUNPYJa[SXocirc|aagravejOslashQcY [Pcent H NPQcOeJU^ XhZ[]Zecirca jOslashcentm bMe[B[]YZQcOF[beuml aacute ccedilyeacute WMQsbMfRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[aeligJUP[]fcj H Qc[]O JjN H QR[]OOaringaelig Yacuteaagravejaelig agrave aacuteFuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yuml uuml thorn otilde)yuml eacute aacuteccedilaumlordfegrave ETHeacute thorn timesOslash yumlauml aelig thorn timesOslash yumlauml acircccedilaumlordfegrave ETHeacute thorn UgraveUcircUacuteUuml yumlauml aelig thorn UgraveUcircUacuteUuml yumlauml lteacute a macr]jUcircX H MJ^eJUYZbnhQRK H [PhY$^e[TOe[ H ^eJLKEgraveJUO^times[]OregagravetaiacutehZJ[]QR[]OeV4QcO^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhYjeH MeJgiexcl hZJU^jbnJUY H [ H MeJordfXiacute[]fcfR[WQcO[aeligJkWKhZJUYZYQR[]OOaringaelig Yacuteaagravejaelig agrave aacuteigraveuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yumldn reguuml thorn otilde)yuml7 eacutelteacute a ]j

uumlnyacutenthornnyumll13YSordmY_FY

f $amp)(+-)013021+345627893lt=gt9A6CB JaeligbLNPO`O[ H QcbnJ H MN HH MeJtimes^eJLKEgraveJUO^eJUObnJauml[SX H MJIacute^eJUYZbnhdQRK H [PhY[]OwagraveeEgraveNPO^aY[ []OH MeJiexclbLjehYUPJJUP[]fcj H QR[]OOeQcO^jbnJUY0NP^^Q H QR[]ONPf H JLhlZaringYFQcO H MeJiexclJUP[]fcj H QR[]O JjN H QR[]O[SX H MJFNPb H QVUPJ(bn[]O H []jeh^SMeJNP^^Q H QR[]ONPf H JLhZaringYQX[]jO^IacuteQcOoa macr]jbLNPOOe[ H hZJUNP^QsfVmcentEgraveJtimes[Pcent H NPQcOeJU^ WMJUO H MeJOslash^mBONSZaringQcbLNPfampYZbMJZOslashJaringQcYOtildeQcO H hZ[W^jbnJU^eumlNX H JLh H MeJOslashbn[]ZaeligVKj H N H QR[]Oa[SX H MeJaelig^eJLhQVUiN H QVUPJaeligjYZQcO[o0jfcJLhVA9N[PhNPOF[PJIacuteJBjN H QR[]OY^MjYe-Q H QcY[SX=KhQZaringJOeJUbnJUYZYZQ H m H [TQcO H hZ[B^jbnJ H MeJ^mWONSZaringQsbLNPfeYZbMeJZaringJiexclQcO H [ H MeJbnhQ H JLhQR[]OQ H YZJUfVXiexclQcO[Phd^eJLh H [JUNPYZQsfVmsup1[PJ H H MeJUYJaNP^^Q H QR[]ONPf H JLhlZ Y QcO bLNPYJa[SXhJ[]QR[]OWV^eJLKEgraveJUO^JUO H ^JUYZbnhQRK H [PhdY^MNPO`BY H [ H MeJUYJeumlNP^^Q H QR[]ONPf H JLhlZaringYeWFJ`JUOYZjehZJH MeJordfXqNPY H JUY H JUP[]fcj H QR[]O [SX H MeJIacutebLjehYUPJ H [WNih^YiexclNZaringQcOQZIacutejZ [SX H MeJTbnhdQ H JLhQR[]OO^ JeumlbLNPO NPfcY[hZJZaringNihY` H MN H H MeJUPJUfR[BbLQ H m[SX H MeJ bn[]O H []jhQsOa macr]j bLNPOcentEgraveJ K=[]YQ H QVUPJ[PharingOeJ[]N H QVUPJS^|MQcYaeligNPO QcO H JLhZJUY H QcO[eumlKh[PK=JLh H mOacute[SXiexclhZJ[]QR[]OWVcent-NPYJU^NPb H QVUPJ bn[]O H []jehY^ q O H MeJ bn[]O H hNihYm H [ centEgrave[]jO^NihYmVcentNPYJU^7NPb H QVUPJ bn[]O H []jehdYehZJ[]Qc[]OWVcentNPYJU^7NPb H QVUPJbn[]O H []jehYOslashNPfcfR[WYZ[]ZOslashJKNih H Ytimes[SX H MeJ bLjehYUPJ H [YZMehQsO`WMQcfRJ[ H MeJLhY(JkWKNPO^O^FMjY H MeJaumlQcOQ H QsNPfcQVcurrenUN H QR[]O QcYfRJUYYbn[]OY H hNPQsOeJU^O^^ macr^iexclEacuteltIacuteETHNtildeFETHEacuteshyOacute Eacute10wETH9IgraveumlIgravesup1+shyEacuteltEumlETHETH3EacuteshyOacuterIgrave5euml1ONtildeFETH32EacuteltOacute0EacuteltEgravexIcircEacuteshyIacute5IgraveIgrave2shyNtildeshyIacuteEumlOgraveIgraveIcirclaquoEacute10C8ltIgraveIcircd=KEgrave(ETHEacuteltEgraveIcircMJu[P[]NPf[SX H MQsY$KNih H QsY H [timesbn[]ZaringKj H J H MeJiexclJUP[]fcj H QR[]O JjN H QR[]Oaring[SX H MeJNPb H QVUPJbn[]O H []jehOcircXiacute[Ph0Y[]ZOslashJ(JkeNSZOslashKfcJUY$[SX-hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhY^SgJ H jY H N`PJY[]ZaringJT^eJUYZbnhQcK H [PhY(^eJLKEgraveJUO^QsO[aelig[]O H MeJyZOslashJUNPOBSOtimesOslash [Phiexcl[]O H MeJgUiNihQcNPObnJjuFtimesOslash [SXH MeJOtildeJUP[]fUBQcOF[OslashhZJ[]QR[]OwOumlcopytimesOslashaagravejaringEFFG FFH SOtimesOslashKaagravejumlaacute iacute $ w$ thorn yuml Otilde atilde auml WiexclQ H M icirctimesOslashaacute w$ thorn yuml atilde aumlu centtimes Oslash aagravejsup1aacute iacute $ w$ thorn yuml aOtilde SOtimes OslashKaagravejj cent atilde auml^ macr^f^iumlordfcentltshyltAringordfregethIumlIgravecurrenRAringcentmicroETHfrac34IumlltlaquomicroRreglaquoNOacute]currenRlaquosectsup1jCcedilR RAringordfregL Rlaquo3shy JTbdMe[B[]YJ H MeJgXiacute[]fcfR[WQcO[OslashYJ H [SX^eJUYbnhQRK H [PhYaring

uuml thorn UgraveUcircUacuteUuml yuml ^e[BJUYOe[ H ^eJLKEgraveJUO^[]Owagraveuuml thorn timesOslash yuml aacutecntildeaLuOcenttimes Oslash j a zSjWMJLhZJampntildeaOgravejQsYNOslashKEgrave[]YZQ H QVUPJiexclXqjOb H QR[]O[SX$bLfcNPYYograve aj^MQcYiexclUPJUfR[WbLQ H mumlUPJUb H [PhOslashQcYaumlbn[]ZaringKj H JU^centmeumlhZJLKfcNPbLQsO[ H MeJ H JLhZaringYauml[SXga jgWQ H MH MeJUQch$JkBKhJUYZYZQR[]OY^ J hY H JkWKhZJUYZY H MeJ^eJUYZbnhQcK H [Ph|uuml thorn timesOslash yuml NPYyNTbn[]ZTcentQsON H QR[]O[SXamp^e[]ZaringNPQcOY(QcO H J[PhdNPfcYaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacutemiddot thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn timesOslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejjaacutecntildeoacute agrave thorn timesOslash yuml aagravejagrave thorn timesOslash yumlcent aagravejfocirc a i]j

uumlnyacutenthornnyumll13YSordmY_FPa

yenKbrvbarsect =4 acirc $ fzWMJLhZJSaring EFFG FFH agrave thorn timesOslash yuml aagravejpoundaacute w$ thorn yuml aOtildegta2atildeltszligaumlj SOtimes OslashaagravejjUcirccent atilde aumlagrave thorn timesOslash yumlcent aagravejpoundaacute w$ thorn yuml atilde auml a h]j O^ H MBjYaring aelig thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacuteacircaOtildeKa2atildeshyszligaumlFj S timesOslash aagravejjUcirccentaelig thorn timesOslash yumlcent a2atildeshyszligaumlKszligYagravej|aacute f ad s j Y5XiacuteNihaumlNPY H MeJOslash^e[]Z NPQcO`QsO H J[PhNPfsYUacute[SX H MeJOslash^eJLhQVUiN H QVUPJaelig[SX H MJXqjOb H QR[]OY aelig thorn timesOslash yumlaumlNihZJaumlbn[]ObnJLhOeJU^OeFWFJauml[Pcent H NPQsOOaringEFFFG FFFH w5$ thorn yuml frac14ltotildeouml $_divideoslashfrac14 atilde aumlordmaacute frac14ltugrave $frac14 w$ thorn yuml aOtildeKa2atildeshyszligaumlFj SOtimesOslashKaagravejj atilde aumlaacute sw5$ thorn yuml frac14ltotilde ouml $_divideacircfrac14 atilde aumlordmaacute s adfjMJ H JLhZaringY eacute thorn timesOslash yumlauml NPfcY[aringMNUPJ H [ cent=Jaumlbn[]ZaringKj H JU^OeNPO^tWNtildeJg[PJ H aringEFFFG FFFH eacute thorn

timesOslash yuml aacute w$ thorn yuml uacute ouml $_divideacircntilde raquo7ucirc uacute ouml $_divideoslashuacute ouml $_divideacircyacuteuuml atilde aumlaacutecntilde raquo aLu centtimesOslash jeacute thorn timesOslash yumlcent aacute w$ thorn yumlBthorn uacute ouml $_divideoslashthorn uacute ouml $_divideacirc yuml acirc ntilde raquo ucirc uacute ouml $_divideoslashuacute ouml $_divideacirc uuml atilde aumlregaacute u centtimes Oslash ntilde raquo aLu centtimes Oslash j

G QsObnJ H MeJOslash^e[]Z NPQcO`QsO H J[PhNPfsYiexcl[SX frac14ltotildeouml $ordfdivideoslashfrac14 NPO^ frac14ltotildeouml $_divideacircfrac14 NihZJaeligJBjNPf H [currenLJLhZ[poundadfjeWFJOtildebLNPO ^QRhZJUb H fVm bn[]ZOslashKj H J H MeJiexclUPJUfR[WbLQ H mregUPJUb H [Ph[SX H MeJOtildeNPb H QVUPJTbn[]O H []jehuXiacutehZ[]Za macr]jNPO^WNtildeJyO^Oaringaelig Yacuteaagravejaelig agrave aacuteuumlgtthorn timesOslash yuml uumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn otilde)yuml dacute uumlgtthorn otilde)yuml eacutentilde raquo aLu centtimes Oslash jaaOtilde SOtimesOslashj cent u centtimesOslash jcedilQeacute ad j5Otad jeOgraveWFJbLNPOaringhJZaringNihY` H MeJ(KhZJUYJUObnJ[SX H MJNP^^Q H QR[]ONPf H JLhlZntilde raquo aLuOcenttimesOslash jaaOtilde SOtimesOslashj cent u centtimesOslash jeacuteacirc^^ macr^ ^iumlordfcentltshyltAringordfregethIumlIgravecurrenRAringcentmicroETHfrac34IumlltlaquomicroRreglaquoNOacute]currenRlaquosectsup1jpoundn Rlaquo JTbdMe[B[]YJ H MeJgXiacute[]fcfR[WQcO[OslashYJ H [SX^eJUYbnhQRK H [PhYaring uuml thorn UgraveUcircUacuteUuml yuml ^e[BJUYOe[ H ^eJLKEgraveJUO^[]Owagraveuuml thorn timesOslash yuml aacutecntildeaOtilde S timesOslash aagravejj adS]j

uumlnyacutenthornnyumll13YSordmY_FPo

fi $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJampntildeaOgravejQsYNOslashKEgrave[]YZQ H QVUPJiexclXqjOb H QR[]O[SX$bLfcNPYYograve aj^ YKhZJUWQR[]jYZfVmSe H MeJlaquoUPJUfR[WbLQ H mfrac34UPJUb H [PhTQcYbn[]ZOslashKj H JU^eumlcentmhZJLKfsNPbLQcO[ H MJ H JLhZaringY[SXua jcopyWQ H M H MeJUQRh(JkWKhZJUYZYZQc[]OY^FMeJauml^JUYZbnhQRK H [Ph uuml thorn timesOslash yuml QcY(JkWKhZJUYZYJU^centmKaringuuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacutei thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn times Oslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejjaacutentildeoacuteOtilde agrave thorn timesOslash yuml aagravejagrave thorn timesOslash yumlcent aagravejfocirc adj

WMJLhZJSaring EFFG FFH agrave thorn timesOslash yuml aagravejpoundaacute w5$ thorn yuml Otildegta2atildeltszligaumlj atilde aumlagrave thorn timesOslash yumlcent aagravejpoundaacute w5$ thorn yuml atilde auml adSmacr]j O^ Y[aring aelig thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejOcircaacuteegraveOtildegta2atildeltszligaumljaelig thorn timesOslash yumlcent a2atildeshyszligaumlKszligYagravejOcircaacute f adS]jG QsObnJ H MeJordfXiacutejOb H QR[]OY aelig thorn timesOslash yuml NPO^ aelig thorn timesOslash yumlcent ^e[aringO[ H ^eJLKEgraveJUO^[]OtagraveeFWFJTMNUPJSaringEFFFG FFFH w$ thorn yuml frac14ltotilde5ouml $ordfdivideoslashfrac14 atilde aumlregaacute s

w$ thorn yuml frac14ltotilde5ouml $ordfdivideacircfrac14 atilde aumlregaacute s ad]zSjMJ H JLhZaringY eacute thorn timesOslash yumlauml NihZJ H MJUObn[]ZOslashKj H JU^eNPO^WFJauml[Pcent H NPQcOOaringEFFFG FFFH eacute thorn

timesOslash yuml aacute w$ thorn yuml thorn uacute ouml $ordfdivideacircntilde raquo7ucirc Otilde uacute ouml $ordfdivideoslashuacute ouml $ordfdivideacircyacuteuuml atilde aumlaacute thorn iacute $ w$ thorn yuml ntilde raquo aOtilde SOtimesOslashj atilde aumleacute thorn timesOslash yumlcent aacute w$ thorn yuml uacute ouml $ordfdivideoslashthorn uacute ouml $_divideacirc yuml acirc ntilde raquo ucirc Otilde uacute ouml $ordfdivideoslashuacute ouml $ordfdivideacirc uuml atilde aumlordmaacute ugrave $iacute $ w$ thorn yuml ntilde raquo aOtilde SOtimesOslashj atilde auml JUacutebLNPO H MeJUObn[]ZOslashKj H JUacute^QRhZJUb H fm H MJ_UPJUfR[WbLQ H mUPJUb H [Ph[SX H MeJUacuteNPb H QVUPJOtildebn[]O H []jhXiacutehZ[]Zigravea macr]j(NPO^WNtildeJyO^Oaringaelig Yacuteaagravejaelig agrave aacuteuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yumldacute uuml thorn otilde)yuml eacute aOtilde SOtimesOslashjicircFtimesOslash $ thorn yuml ntilderaquo)aOtilde SOtimesOslashjmiddotQeacute adSi]j

5O H MeJtimesKNih H QsbLjfcNihiexclbLNPYZJIacute[SXIcircntildeaOgravejuaacuteOslashScenteKWFJtimesMNUPJnntilde raquo aOgravejcopyaacute NPO^ H MeJLhZJXiacute[PhZJSeH MeJiexclNP^^Q H QR[]ONPf H JLhlZaringYebn[]ZaringQcO[gXiacutehZ[]Z H MeJ UiNihQcN H QR[]O [SX H MeJiexcl^eJUYbnhQRK H [PhYOcircWQ H MagraveeNihJJjNPf H [gcurrenLJLhZ[^[WNtildeJUPJLheWQsOordmZOslash[]Y H bLNPYZJUYe H MQsYyNP^^Q H Qc[]ONPf H JLhlZoslashQsYyOe[ H

uumlnyacutenthornnyumll13YSordmY_FPy

yenKbrvbarsect =4 acirc $ fhcurrenLJLhZ[^ not [PhaeligJkeNSZOslashKfRJSeampQVXUgraventildea]jaacute yuml Wiexcl cent eshyWiexclQ H MN`KEgrave[]YZQ H QVUPJ bn[]OY H NPO H eQWFJMNUPJSaring

ccedil aacuteFuumlgtthorn timesOslash yuml uumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn otilde)yuml uumlgtthorn otilde)yuml eacute aOtilde SOtimesOslashjicircFtimesOslash $ thorn yuml aOtilde SOtimesOslashj IcircAumlaOtilde SOtimesOslashj cent adSh]j^ ^~IacuteFEumlIgraveFIacute5IgraveFOacuteETHNtildeFETHEacuteshyOacuteAgraven13ETH9 ETH9IgraveumlEumlIgravesup1+ltIgraveFEumltIcircIgraveFETHbIacute5IgraveFETH9shyEacute18 YXqNih0NPY H MeJOBjFZOslashJLhdQcbLNPfeQZOslashKfcJZOslashJUO H N H Qc[]OtimesQsYybn[]ObnJLhOeJU^eSWNtildeJbLNPOZOslash[W^eJUf H MeJNPb H QVUPJaumlbn[]O H []jeh_WQ H MNPOJkBK-fcQcbLQ H KNihNSZOslashJ H JLhdQVcurrenUN H QR[]ObaN[PhNPO[]QcNPOXiacute[PhlZtimesjfcN~VH QR[]OKjaelig[Ph NPO QCZOslashKfcQcbLQ H []OeJraNtildejfRJLhQsNPO Xiacute[PhlZIacutejfcN H QR[]Ogtj^ G JLJra G J H MQcNPOOe5fhSh s jNPO^egraveaJUfcQcO[PJ HH J NPO^ _a[]O H N[]ON H e sSs fjX[PhaeligNPOQcO H JLhZJUY H QcO[eumlbn[]ZOslashKNihdQcY[]OcentEgraveJ H WFJLJUO H MeJ H WNtilde[ZOslashJ H M[B^Y^ iexclO[ H MeJLhOtildeQcO H JLhJUY H QcO[aringhJUBQRJW[]O H MeJtimes^Q=JLhJUO HZOslashJ H M[B^Y[SX$NPb H QVUPJIacutebn[]O H []jehQcY(Kh[PK=[]YZJU^ QcOpoundaw_[]O H N[]ON H J H NPfd^Ve sSs fj^iexclJLhZJSeWFJaumljYJ H MeJaumlfRJUPJUfYZJ H ZOslashJ H Me[W^ NiKKhZ[]NPbdM KhZ[PKEgrave[]YJU^centm q YMeJLhNPO^G J H MQcNPOa q YZMJLh NPO^ G J H MQcNPOe fhSiSi]j centj H hJ[]QR[]OWVcentNPYJU^ NPb H QVUPJeumlbn[]O H []jehdYZaringNmNPfcYZ[ centEgraveJQZOslashKfcJZOslashJUO H JU^7centmjYQcO[`XNtildeV4YK-fcQcOeJUYXiacute[PhaeligNPOJkWKfcQsbLQ H K-NihNSZOslashJnVH JLhQcurrenUN H QR[]O ayhZJUbLQc[]Y[ NPO^XNihfcNPj^Oe sSs fj^shyMJ`PJmeumlQc^eJUN [SX H MeJOslashfRJUPJUfampYJ HZOslashJ H M[B^QsY H [ QcO H hZ[W^jbnJaumlNPO`NPjkWQsfcQcNihYmXiacutejOb H QR[]O l a2atildeltszligaumlgtszligYagravejYZjbdM H MN H YacuteaagravejQcY H MJtcurrenLJLhZ[OacutefRJUPJUfYJ H [SX l ^OcircMJXiacutejOb H QR[]O l QsYaelig[SX H JUO bMe[]YJUO H [centEgraveJ H MeJYZQ[]OeJU^ ^QcY H NPObnJordfXiacutejOb H QR[]O[SXQYacuteaagraveje-NPO^ QsY H MeJUObdMNihNPb H JLhQVcurrenLJU^acentmKaring

YacuteaagravejOcircaacute a2atildeltszligaumljPO l a2atildeshyszligaumlKszligYagravejaacute s a2 s jMQcYOcirc0jfRJLhQcNPOordmXiacute[PhlZtimesjfcN H QR[]O KhZJUYZJUO H YFYJUPJLhNPfEgraveNP^UiNPO H N[PJUYga G J H MQcNPOOeKfhShS]j^not QRhY H fVmSe H MeJabLjehYUPJ l ZaringNmcenthJUN`[PhoZOslashJLhY[PJNPY H MJXiacutejOb H QR[]O l JUP[]fUPJUYeNPO^ H [PK=[]fc[S[]QcbLNPfbdMNPO[PJUYFNihZJ H MBjY$JUNPYZQsfVmOslashMNPO^fRJU^^ G JUbn[]O^fVmSe H MJJUP[]fVUWQcO[XqjOb H QR[]O l a2atildeshyszligaumlKszligYagravejNPfVWNmWY(hZJZaringNPQcOY(NlaquoXiacutejOb H QR[]O NPfcfR[WQcO[timesJltz bLQRJUO H OBjFZOslashJLhVQcbLNPfFYZbdMeJZOslashJUY^OcircMQRh^fVmSe H MeJ[PJL[]ZOslashJ H hQcb KhZ[PKEgraveJLh H QcJUYT[SX H MeJ bLjehYUPJSe$fcQV`PJ H MeJbLjehlU~N H jehJ NPO^ H MeJOslashOe[PhlZ NPfshyUPJUb H [PhordfJUfs^eacute e=bLNPO centEgraveJIacuteJUY H QZaringN H JU^euml^QRhZJUb H fmXiacutehZ[]Z H MeJTfcJUPJUfgYJ H XqjOb H QR[]Oaring aacute V ucirc l l uuml NPO^ eacuteecircaacute l l a2FfjMJJUP[]fsj H QR[]O JBjN H QR[]O H MeJUO centEgraveJUbn[]ZOslashJUYaringaelig l aagravejaelig agrave aacuteegraveccedilacute l a2 jMJregUPJUfR[WbLQ H msup1XiacutejOb H QR[]OxccedilEQcYIacutebn[]ZaringKj H JU^7[]OfVm[]O H MeJbLjehYUPJYacuteaagravejaumlcent-j H WFJbLNPO Jk H JUO^ Q H YFJkBKhZJUYZYZQR[]O H [ H MeJiexclWMe[]fRJUacuteQZaringN[PJOtilde^e[]Z NPQcOoOumlordf^[OslashQZOslashKfRJZaringJUO HH MeJIacutefRJUPJUf9YJ H ZOslashJ H Me[W^OeY[]fsj H QR[]OYuZtimesjY H centEgraveJgXiacute[]jO^ H [ bLQRhbLjZyUPJUO H Kh[PcentfRJZaringY

uumlnyacutenthornnyumll13YSordmY_FP

s $amp)(+-)013021+345627893lt=gt9A6CBbn[]ZaringQsO[ Xh[]Z H MeJpoundXqNPb HH MN H`H MeJYZQV[]OeJU^ ^QcY H NPObnJumlXqjOb H Qc[]O l QcYaOe[ H NY[]fsj H QR[]O[SX H MeJyiexcl a2 jeEgraveYJLJa []ZOslashJUYNPO^ not NPjF[PJLhNPYe sSsSs jyacuteXiacute[Phiexcl^J H NPQcfcY^5Oaelig[]jehWF[PhY`gte H MJuXiacutejOb H QR[]O l QcYamphZJUQsOQ H QcNPfcQcurrenLJU^TY[ H MN H Q H hZJZaringNPQcOYampNOtilde^QsY H NPObnJXqjOb H QR[]OenYZJLJ5aq jecentEgraveJLh H NPO^gcOtilde[PhdOeKhZ[PcentY H e sSs fJLcenthZJUjFUPJSe sSsSs jOXiacute[Ph^J H NPQcfcY[]O H MJOtildehZJUQcOQ H QsNPfcQVcurrenUN H QR[]O JBjN H QR[]OO^5Oeuml[Ph^eJLh H [QCZOslashKhZ[UPJaringOjFZaringJLhQcbLNPfJltz bLQRJUObmSeOWFJaringbn[]ZOslashKj H J H MeJOslashJjN H QR[]O[]O NIacuteONihhZ[Wcent-NPO^aringJUObLfc[]YZQcO[ H MJiexclfRJUPJUf s [SX H MeJUacutefRJUPJUf-YJ H XqjOb H Qc[]OO^ JUacuteNPfcY[jYZJZtimesjf H QRhZJUYZ[]fcj H QR[]O H JUbdMOQBjeJUYcentmZaringN`BQsO[ H MeJFNPb H QVUPJ(bn[]O H []jh$JUP[]fVUPJcopyhY H[]ONOslashfc[W hZJUYZ[]fcj H QR[]O QZ N[PJS^FMeJordfONPfbn[]O H []jeh[Pcent H NPQcOeJU^Xiacute[Ph H MQcYhJU^jbnJU^QZ N[PJaumlQcY H MeJUOjYJU^ NPYNPOQsOQ H QcNPfEgravebLjehYUPJordfXiacute[Ph H MJOtildehZJUNPfgYZQVcurrenLJaumlQCZaringN[PJS^

EparaacuteAgravegtmicrosup1acuteIKJcedilJT2MgtI MraquowMgtmicrosup1MAgravegtacuteIltacuteMgtPltAtilde iquest acuteAgravegtT2MKIshyAtildeAcirccedilAtildeacuteNicircMgtI cedilAEligMgtmicroOcircacuteOgraveJTCJT13MKI sup2OcircacuteJordfsacuteacuteI Jfrac14ltacutegcedilFLT2cedilIshyROgraveacuteAtilderaquoAMLBqoLacute13AtildeR]cedilsup32acute GmicrobcedilAgraveacuteAtilde5O H MQcYUacuteYJUb H QR[]OOeOWFJOslashKhZ[PKEgrave[]YJaeligY[]ZOslashJOslashhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhY H [YJ[iVZOslashJUO H M[]ZOslash[S[PJUOeJL[]jYiexclhZJ[]QR[]OYiexcl[]Ofrac34[PhZJmBYbLNPfRJIacuteQZ N[PJUY^gtMJUYJIacute^eJUYbnhQRK H [PhYiexclNihZJcentNPYZJU^[]O H MJZaringQcOQZaringQVcurrenUN H QR[]O [SX H MeJU~NihdQcNPObnJUYauml[SX H MJ H WF[`bn[]OYZQc^eJLhZJU^OacutehZJnV[]QR[]OY^ 5O H MJ7YJUbn[]O^ K-Nih H e H MJQZOslashKEgrave[Ph H NPObnJOacute[SX H MeJNP^^Q H QR[]ONPf H JLhZaringYebn[]ZaringQsO[XiacutehZ[]Z H MeJiexclU~NihdQcN H QR[]O [SX H MeJUacute^eJUYZbnhQcK H [PhYWQ H M H MeJiexclJUP[]fUBQcOF[IacutehZJ[]Qc[]OYeQcY9MQV[]MfcQ[]M H JU^O^ G QCZOslashKfRJJkWNSZaringKfRJUY9YMe[W H MeJ0QZOslashKEgrave[Ph H NPObnJ$[SX H MeJUYJ0NP^^Q H QR[]ONPfH JLhlZ Y H [ NPbMQRJUPJ H MeJOtildeJkWKEgraveJUb H JU^aYJ[]ZaringJUO H N H QR[]O^^f^laquoIgraveIcirc=KEgrave(FETHOEacuteltEgraveIcircEcircgtNtildeltIcircIgrave8 EacuteshyOacute ETH9Igravek+NtildeshyEgrave13NtildeshyOacute=KIgraveC0EacuteshyEgraveh4ltEgraveOIgravesup1QIcirc=NtildeltEumlOgraveIgrave2Iacute Ntilde4ltIgraveIcircMJQcO H JUOYZQ H mregXiacute[Phu[PhZJmWYZbLNPfRJaumlQZ N[PJUY(QcYhZJLKhZJUYZJUO H JU^centm NlaquoXqjOb H QR[]OOtilderegaringOgraveOumlOtilde 13ordfcentwntilde Otilde 13laquo^ JaKhZ[PKEgrave[]YJ H [bZaringQcOQZaringQVcurrenLJ H MeJU~NihdQcNPObnJUYOslash[SX H MeJ H WF[bn[]OYZQc^WVJLhZJU^ Me[]Zaring[S[PJUOeJL[]jY hZJ[]Qc[]OY QcO [Ph^eJLh H [YJ[]ZOslashJUO H H MeJZ^uMJXiacute[]fcfR[WQcO[^eJUYbnhQRK H [PhY(NihJaumlYZj[S[PJUY H JU^OaringEFG FH uuml thorn UgraveUacuteUuml yuml aacutecntildeaLuOcentUgraveUacuteUuml juuml thorn times Oslash yuml aacutecntildeaLuOcenttimes Oslash juuml thorn otilde)yuml aacutecb a2Ograve]jWMJLhZJjntildea]jQcYNOslashKEgrave[]YZQ H QVUPJordfXiacutejOb H QR[]O [SX$bLfcNPYZYEacuteograve aOtilde 13yj(NPO^kb`NOslashKEgrave[]YZQ H QUPJaumlbn[]OWVY H NPO H ^MJTbn[]ZOslashKj H N H Qc[]O[SX H MeJUPJUfR[BbLQ H mUPJUb H [PhaumlQcY^JU^jbnJU^tXiacutehZ[]Z H MeJIacutebn[]ZOslashK-j H N~VH QR[]O`[SX H MeJaelig^eJLhQVUiN H QVUPJIacute[SX H MeJtimesbnhdQ H JLhQR[]Opoundocirc7^eJUPJUfR[PKEgraveJU^ QcO G JUb^^ macr^feWMQsbMfRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[aeligJUP[]fcj H Qc[]O JjN H QR[]OOaringaelig Yacuteaagravejaelig agrave aacuteethntildeaLu centtimesOslash j ntildeaLu centUgraveUcircUacuteUuml jb ntilderaquo)aLu centtimesOslash jaaOtilde S timesOslash j cent u centtimesOslash j ntilde raquo aLu centUgraveUcircUacuteUuml jaaOtilde SUgraveUcircUacuteUumlj cent u centUgraveUacuteUuml jIcirc13eacute a2Sj

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ fMJiexclYZQcOF[]fRJiexclK-NihNSZOslashJ H JLhcopyWNtildeJOtildeOeJLJU^ H [aringNP^~ZjY H QcY H MeJUacuteYYZOslash[B[ H MQcO[timesKNihNSZOslashJ H JLhb^5OregXqNPb H e H MeJ X [W ethb MNPY H MeJiexclKhZ[PKEgraveJLh H QRJUYNtilde[SXYYZOslash[B[ H MQcOF[IacutecentEgraveJUbLNPjYJOtildeQ H ZOslash[UPJUYH MeJUacutebLjehYUPJUacuteQcO H MeJUacute^QRhZJUb H QR[]O [SX9Q H YfRJUOF[ H MregXqjOb H QR[]ONPfQa G Qs^^QBQeJ H NPfd^VeOfhShS]j^^ ^~IacuteEacuteltEgraveETHOgraveNtildeltOacute=KIgravefrac34Eacute10frac34ETH9Igrave Ntilde8182ETHEacuteshyOacuteNtildeshyEumlETHIgraveFEgraveOIacute5Icirc5O[Ph^JLh H [7JU~NPfcjN H J H MeJ QZOslashKEgrave[Ph H NPObnJ`[SX H MeJ`NP^^Q H QR[]ONPf H JLhlZaringYX[Ph H MeJYJ[]ZaringJUO H N H QR[]OeuWNtildeJpoundZaringN`PJ H MJeumlNPb H QUPJbn[]O H []jehaJUP[]fVUPJ H MehZ[]j[]M H MJ iexcla2SjeQsObLfcj^QsO[ H MeJaumlNP^^Q H QR[]ONPf H JLhlZaringY^ q O H MeJUacute[ H MeJLhMNPO^OeWNtildeJaumlNPfcYZ[ZaringN`PJQ H JUP[]fUPJfrac34WQ H M H MeJwXiacute[]fcfR[WQcO[ WhZ[]OF[JUP[]fcj H QR[]OJjN H Qc[]O H MN H ^e[JUY Oe[ HQcObLfcj^eJ H MeJaumlNP^^Q H QR[]ONPf H JLhlZaringYaringaelig Yacuteaagravejaelig agrave aacuteethntildeaLu centtimesOslash j ntildeaLu centUgraveUcircUacuteUuml j`b Qeacute iuml a2Ogravemacr]jnot [Ph H MeJOtildeJkWKEgraveJLhQZOslashJUO H YeWFJ H N`PJntildeaOgravejOcircaacute ILK KafcediliexclOgravejWMQsbM[]QVUPJUYntilde raquo aOgravejaacutefdOafcedil]j(NPO^ H MeJgUiNPfcjeJOtilde[SX H MeJaumlKNihdNSZOslashJ H JLhEacutebaQcY(YJ HH [frac34f s ^OcirckBKEgraveJLhQCZOslashJUO H Y NihZJ KEgraveJLhYX[PhZOslashJU^ []O NYmWO H MJ H Qcb`QCZaringN[PJumlZaringNP^eJeumljeK [SXTNPO

Me[]Zaring[S[PJUOeJL[]jYYYBjNihZJ[SX9QcO H JUOYZQ H mwf s []O NIacutecentNPbl`[PhZ[]jO^ [SX9QcO H JUOYZQ H mtf s ^ []NPjYZYZQsNPOOe[]QcYJUacute[SXUiNihQcNPObnJ s QcY(NP^^eJU^ H [ H MQcY(YmWO H MJ H QcbOtildeQZaringN[PJS^MeJOtildeJUP[]fcj H QR[]Oa[SX H MeJTNPb H QVUPJtimesbn[]O H []jehUacute^ehQUPJUOcentmpounda2SjQcYu[]QVUPJUO`QcO not QV[^ WMQcfRJ H MeJ[]OeJ`[Pcent H NPQcOeJU^ jYZQcO[ a2Ogravemacr]j QcYordm[]QUPJUO QcO not QV[^ ^ J bLNPO hZJZaringNihY`H MN H WMeJUO H MeJoiexclQsObLfcj^eJUY H MJ NP^^Q H QR[]ONPf H JLhZaringYe H MJ YYBjNihZJ QcYgWFJUfcfYJ[]ZaringJUO H JU^acirca not QV[^ ^bjeuWMeJLhJUNPYWiexclMeJUO H MeJ |iexclD^e[BJUY Oe[ H QsObLfcj^eJ H MeJUYJNP^^Q H QR[]ONPf H JLhZaringYwWFJ7[Pcent H NPQcO N bLQRhbLfcJOacuteQcOY H JUNP^ [SX H MeJ7JkBKEgraveJUb H JU^YYBjNihZJa not QV[^ ^bj^MeJUYJhZJUYZjf H YNtildebLNPOcentEgraveJcentEgraveJ HH JLh(jO^eJLhY H [[W^WMQcfRJNPONPfmcurrenUQcOF[ H MeJiexclUPJUfR[WbLQ H mUPJUb H [PhYUacute[SXNtildeJUNPbMJUP[]fsj H QR[]O JjN H QR[]OO^ Jaringbn[]ZOslashKNihZJ H MeJ H WF[ JUP[]fcj H QR[]OYiexcl[SXH MeJlaquoUPJUfR[WbLQ H mwUPJUb H [PhYauml^jehQcO[ H MeJaeligKhZ[PKN[]N H Qc[]Oeuml[SX H MeJOslashbLjehYUPJwa2WiexclQ H Me[]j HH MeJcentEgrave[]jO^NihYmVcent-NPYJU^ H JLhlZb j^MeJ(JUP[]fcj H Qc[]OOslash[SX H MeJNSZOslashKfsQ H j^eJ[SX H MeJyacuteUPJUfR[Wb|VQ H mregUPJUb H [Ph[SXQ|iexcla2SjFQsY[]QUPJUO QcO not Q[aqYj^ ^ ^OecurrenJSe Xfrac34]eWMQsfRJ H MeJOtildeNSZOslashK-fcQ H j^eJ[SX H MeJUPJUfR[WbLQ H mwUPJUb H [PhOtilde[SX||iexclacirca2Ogravemacr]jiexclQcY []QUPJUO`QcO not QV[aqYj^ ^ ^OecurrenJSe Xfrac34]^ JOslashbLNPO[PcentYZJLhYUPJ H MN HaringH MeJUPJUfc[BbLQ H msup1WiexclQ H Me[]j HaeligH MeJNP^^Q H QR[]ONPf H JLhlZaringY QcYaeligNbn[]OY H NPO HWMJLhZJ [PcentUWQR[]jYfVm H MJaQZaringN[PJfrac34XJUN H jehJUY ^e[OacuteO[ H NiKKEgraveJUNih^ q O H MeJabn[]O H hNihYmH MeJaumlQCZaringN[PJordfXJUN H jhZJUYuWFJUfcfNiKKEgraveJUNihQcO H MeJordfUPJUfR[WbLQ H m QcObLfcj^QcOF[ H MeJaumlNP^^Q H QR[]ONPfH JLhlZ Yya not QV[aqYj^ ^ ^OecurrenJSe Xfrac34jiexclNPO^ Y[ H MeJaumlYljNihJTbLNPO centEgraveJordfWNtildeJUfsfYJ[]ZOslashJUO H JU^O^MeJyKhZJUWQR[]jYEgravehJUYZjf H YgYMe[W H MN H Q H QcY[SXeKhQCZOslashJ$OeJUbnJUYZYZQ H m H [ H N`PJQcO H [NPb|Vbn[]jO H0H MJNP^^Q H QR[]ONPf H JLhZaringYeWbn[]ZaringQcO[XhZ[]Z hZJ[]QR[]OeV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhYeQcO[Phd^eJLh H [ hZJUNPbdMaN H hdjeJgZaringQcOQCZIacutejFZ [SX H MeJaumlbnhQ H JLhdQR[]OO^

uumlnyacutenthornnyumll13YSordmY_F

S $amp)(+-)013021+345627893lt=gt9A6CBEIumlparaacuteAgravegtmicrosup1acuteIKJcedilJT2MgtI MraquoordfAEligMgtsup32MLwMKmicrobMgtAgraveacuteIshyacuteMgtPltAtilde iquest acuteAgraveKT13MKIshyAtildeAcirclaquocedilFAtildeacuteNicircMKIJfrac14ltacutepoundAEligMAringcedilFLT2cedilIltR]acuteHcedilJLTOcircfrac12sup3T13ROgravecedilJT2MgtI JMAgraverltcedilFR]acuteacuteJacuteR]JT2MgtIicircT2ItT2NQacuteM paraacutePshyacuteIltR]acuteAtildeMQcY0K-Nih H ^eJUNPfcYWQ H M H MeJOtildeYJ[]ZOslashJUO H N H QR[]O [SXMe[]ZOslash[S[PJUOeJL[]jY(hZJ[]QR[]OYQcOZtimesjfuVH QcYZK=JUb H hdNPfQZaringN[PJUY^ YNPOaJkWNSZaringKfRJSeWFJIacuteYZMe[W H MN HiexclH MeJTbn[UiNihQcNPObnJZaringN H hQVkbLNPOacent=JIacuteNUPJLhYm KEgrave[WFJLhYXqjf H [B[]f H [ YJ[]ZOslashJUO H Me[]Zaring[S[PJUOeJL[]jYbn[]fR[PhiexclhJ[]QR[]OY^F5OXqNPb H e H MeJtimes^eJ H JLhlZaringQsONPO H [SX H MeJTbn[U~NihQsNPObnJZ N H hQkKhZ[UPJUY H [ centEgraveJIacuteNaringhJUfRJU~NPO Hbn[]fR[PhaelighZJ[]Qc[]O7M[]ZOslash[S[PJUOeJUQ H msup1ZOslashJUNPYZjhZJZOslashJUO H a G NPO[SWQcOeJ NPO^r[PhdOeJSeufhShSi]j^_`QcOQZ QVcurrenUQcO[ H MQcYjNPO H Q H m ZOslashJUNPOY H MN H WFJwWNPO HH [^eJUbnhZJUNPYJ H MeJeumlbn[]ZaeligVKfcJkWQ H m[SXUacuteNeumlhZJ[]QR[]Oa hdNmJ H NPfd^Ve sSs fampN H JUjke sSsSs j^MQcY H [B[]fuZaringNmKhdNPb H QcbLNPfcfVm cent=JaumljYJU^X[Ph XiacuteNPbnJtimes^eJ H JUb H QR[]OaQsO QZaringN[PJaumlYJBjeJUObnJUY^macr^f^laquoIgraveIcirc=KEgrave(FETHOEacuteltEgraveIcircEcircgtNtildeltIcircIgrave8 EacuteshyOacute ETH9IgraveAgrave=Eacute3+NtildeshyEgrave13NtildeshyOacute=KIgravefrac34Iacute_NtildeFETHEgraveEcirc20EacuteshyEgrave=EacuteshyEumlEacuteshyEgrave2Iacute Ntilde4ltIgraveIcircMJQcO H JUOYZQ H mxXiacute[Ph bn[]fR[Ph QCZaringN[PJUYaringQcYOslashhJLKhZJUYJUO H JU^centm7NpoundXiacutejOb H QR[]OOtildeegravearingOumlOtilde 13ordfcent ntilde Otilde 13 WMeJLhZJ Otilde aacute Otilde szligYOtildeOgravecentszligYOtilde13ordf ^iexclXm NPONPfR[S[SmAumlWQ H M H MeJOacuteY H j^Fm Xiacute[Ph[PhZJmWYZbLNPfRJFQZaringN[PJUYeWNtildeJZaringQcOQCZaringQVcurrenLJ H MeJNtilde^J H JLhlZaringQcONPO H [SX H MeJFbn[UiNihQcNPObnJcopyZaringN H hQVk[SX H MeJTbn[]OYQc^eJLhZJU^hZJ[]Qc[]OY^ J5ZaringNmaringNPYYZjFZOslashJ H MN H JUNPbdM bn[]fR[PhFhZJ[]QR[]Oacute13 QsYOcircZOslash[W^eJUfcfRJU^OslashcentmOslashNg[]NPjYYZQcNPO^QsY H hQRcentj H QR[]Oeuml[SXyacuteZOslashJUNPOiexclSegraveaacute S szligPS cent szligPS NPO^7bn[UiNihQcNPObnJZ N H hQk5^MeJKh[PcentNicentQcfcQ H maring^eJUOYQ H moXiacutejOb H QR[]O QcYu[]QUPJUO centm H MeJgXiacute[]fcfR[WQcO[aeligJkWKhZJUYZYQR[]OOaring

$ampamp aOtildejOcircaacute fa )( j +cent aq^J H ayacutejj cent JkWK- f aOtilde Sltj thorn aOtilde Sltj a2Ograve]jG [eZaringQcOQZaringQVcurrenUQcOF[ H MJbn[U~NihdQcNPObnJuZaringN H hQktimes^eJ H JLhlZaringQcONPO H [SX-NPOtimesJUP[]fVUWQcO[hJ[]QR[]ONiKKEgraveJUNihY H [OslashcentEgraveJNtimeshZJUfcJU~NPO HH [[]f H [ordmZaringN`PJ H MQcYFhZJ[]Qc[]O bn[]OUPJLhY[PJ H [WFNih^Y H MeJbLfR[]YZJUY H Me[]ZOslash[S[PJUOeJL[]jYbn[]fR[PhiexclhZJ[]QR[]OO^9J H jY$Oe[ H J timesOslash NPO^0copyUgraveUcircUacuteUuml H MJbn[UiNihQcNPObnJ5ZaringN H hQcbnJUYy[SX=hJUYKEgraveJUb H QVUPJUfVmordmOuml timesOslash aagravejNPO^tOuml UgraveUacuteUuml aagravejaring

atilde aacute213 u Patilde u centatilde u atildeu cent atilde u centcentatilde u cent4atildeu5 atilde u5centatilde u54atilde67 a2zSj

WMJLhZJSaringEFFG FFH u times aumlatilde aacute iacutefaring w aring thorn yuml aOtilde times S times atilde jaOtilde auml S auml atilde j atilde aumlS times atilde aacute iacutefaring w aring thorn yuml Otilde times a2atildeltszligaumlj atilde auml WQ H M aacuteiVIgraveOacute[Ph Kf5

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ J [PcentUWQR[]jYZfm`MNUPJacuteu times aumlatilde aacuteu auml timesatilde ^shy9J H jYaumlO[ H J ^eJ H a atilde j H MJ ^eJ H JLhlZaringQsONPO H [SXH MeJaumlbn[U~NihdQcNPObnJZ N H hQkWiexclMQcbMJkBKhJUYZYZQR[]O QcY H MJgX[]fsfR[WQsO[aring

^eJ H a atilde jumlaacute u Patilde u centcentatilde u 4atilde u centatilde u atilde u cent4atilde u Patilde u cent4atilde u cent4atilde u centcentatilde u atilde u atilde u 4atilde u centatilde u centatilde a2Ogravei]jnot jOb H QR[]OY [SX H MeJeumlbn[UiNihQcNPObnJpoundZaringN H hQk ^eJ H JLhZaringQcONPO H YNihZJ jYJU^ NPY hJ[]QR[]O^eJUYbnhQRK H [PhY^ JIacutebMe[B[]YJ H MJordfX[]fcfc[WQcOF[aeligYZJ H [SX$^eJUYZbnhQRK H [PhYaringEFG FH uuml thorn UgraveUcircUacuteUuml yuml aacute98ordfaq^eJ H acopyUgraveUcircUacuteUumlAjjuuml thorn timesOslash yuml aacute98ordfaq^eJ H a timesOslash jjuuml thorn otilde)yuml aacuteOslashb a2Ograveh]jWMJLhZJ8ordfaOgravejFQcYNOslashKEgrave[]YZQ H QVUPJiexclXiacutejOb H QR[]O [SXampbLfcNPYZYograve aOtilde 13yjFNPO^Cb`NOslashKEgrave[]YZQ H QVUPJOtildebn[]OWVY H NPO H ^gJ H jYNtildeOe[W WhQ H J H MeJJUP[]fcj H Qc[]OaringJBjN H QR[]O [SX H MeJiexclNPb H QUPJbn[]O H []jehcentmbn[]ZOslashK-j H QcO[ H MJIacute^QEgraveJLhZJUO HH JLhlZaringYiexcl[SX_a j^J H NPQcfcYiexcl[SX H MeJIacutebn[]ZaringKj H N H QR[]O bLNPOcentEgraveJgXiacute[]jO^QsOaNiKKEgraveJUO^QVk X5^gtMJaumlJUP[]fcj H QR[]O`JBjN H QR[]O[SX H MJIacuteNPb H QVUPJaeligbn[]O H []jhQcY H MJgX[]fsfR[WQsO[aringaelig Yacuteaagravejaelig agrave aacute8gaq^eJ H atimesOslashjj 8ordfaq^eJ H a UgraveUcircUacuteUuml jj`b admacr s jlt8Icircraquodaq^eJ H a times Oslash jgt= ccedil A B egrave aOtilde S timesOslash jaOtilde B5 S BtimesOslash jB^eJ H aDC EBtimesOslash ja fj BGFH amp^eJ H atimesOslashj48 raquo aq^eJ H atimesOslashjj 8Icircraquodaq^eJ H a UgraveUacuteUuml jgt= ccedil I B egrave aOtilde Eacute S UgraveUcircUacuteUuml jaOtilde B S BUgraveUcircUacuteUuml jB^eJ H aDC JBUgraveUacuteUuml ja fj BKFH amp^eJ H a UgraveUcircUacuteUuml j48 raquo aq^eJ H a UgraveUcircUacuteUuml jjcedil13eacuteMJZaringN H hdQkLC JBatilde QsY ^JU^jbnJU^icircXh[]Z H MJeumlbn[U~NihdQcNPObnJbZaringN H hdQkM atilde centm YZjeKeVKhJUYZYZQcO[ H MeJ uuml UumlON hZ[WENPO^ H MeJ I UumlON bn[]fcjFZaringO^MeJeumlfcNPY H Xiacute[]jeh fsQcOeJUY [SX H MeJJBjN H QR[]ONihZJ H MeJOtildeNP^^Q H QR[]ONPf H JLhZaringY(bn[]ZaringQcO[XiacutehZ[]Z H MeJiexclU~NihQsN H QR[]O [SX H MeJOtilde^eJnVYZbnhdQRK H [PhYWiexclQ H Mordmagrave^ Y0Q H MNPYycentEgraveJLJUOOslashKhJUBQR[]jYZfVmTKhZ[UPJU^X[Ph[PhZJmWYZbLNPfRJiexclQCZaringN[PJUYeH MeJUYZJ H JLhlZaringYMNUPJ H [ cent=Jaumlbn[]OYZQc^eJLhZJU^ QsO[Ph^eJLh H [regZ N`PJ H MeJTNPb H QUPJTbn[]O H []jhbn[]OUPJLhY[PJ H [WFNihd^YNZ QcOQZtimesjFZ [SX H MJTbnhQ H JLhQc[]OO^macr^ ^~THORNUgrave2FIgraveFEgrave2Iacute_IgraveFOacuteshyETHOgraveNtildeshyEumlEgraveOIgraveIcircdEumlETHOIcircnot [Ph H MJ JkWKEgraveJLhQZOslashJUO H YeQWNtildeJ H N`PJCntildea]jordmaacute ILK Kaf[]jgWMQsbMsup1[]QVUPJUYnntilde raquo aOgravejaacutefdOafWOgravej(NPO^8ordfaOgravejaacute ILK KafIcirch cent juWMQcbdMt[]QVUPJUY8 raquo aOgravejaacute ETHOafIcirch cent j^ JbdMe[[]YZJ bbaacute f s ^QMeJaringbn[]fR[PhtimesYKNPbnJ YJUfcJUb H JU^QcYaQPszlig l szligicirclaquojeltWMeJLhZJwaOtilde aacuteRPordmjhZJLKhZJUYJUO H Y H MeJfsjFZaringQcONPObnJNPO^waOtildeOgravecent5aacute l j$NPO^frac34aOtildeS aacuteOslashicircj$hZJLKhZJUYJUO HyH MeJ H WF[bdMehZ[]ZaringQcONPObnJUY^ not [Ph H MeJbn[]ZaringKj H N H QR[]OOslash[SX H MeJuUiNihQcNPObnJSei[]Ofm H MeJfcjZaringQcONPObnJQcY(jYJU^O^

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CB5Oaring[Phd^eJLh H [aeligYJ[]ZOslashJUO H NPO Me[]ZOslash[S[PJUOJL[]jY0hJ[]QR[]OOeOgraveWFJiexclY H Nih H WQ H M NPO QcOQ H QcNPf

bLjehlUPJ0QcOYZQs^eJ H MJ0hZJ[]QR[]Oauml[SXWQsO H JLhZJUY H ^MeJybLjhYUPJ0QcY H MJUOTYZjeKK=[]YZJU^ H [JkWKNPO^jO H Qcf(Q H hJUNPbMeJUY H MeJ centEgrave[]jO^NihlmOacute[SX H MeJabn[]ObnJLhdOeJU^ Me[]Zaring[S[PJUOeJL[]jYaringhJ[]QR[]OO^MJtimesbLjehlUPJtimes^e[BJUYUacuteOe[ H [P[cent=JmP[]O^ H MJUYJaeligcent=[]jO^NihQRJUYiexclYZQcObnJSe=[UPJLh H MeJLhZJSe H MeJbnhQ H JLhQR[]OOacuteQsObnhZJUNPYJUYtimescentEgraveJUbLNPjYJ H MeJU~NihdQcNPObnJOcircu centtimesOslash [Ph H MeJ bn[U~NihdQcNPObnJtZaringN H hQVk^eJ H JLhZaringQcONPO H ^eJ H atimesOslashjUcirccentOtildeQsObnhZJUNPYJS^MeJaringNPfV[P[PhQ H MZEcentNPYJU^[]O H MeJ bn[UiNihQcNPObnJZaringN H hQVkeumlQcYaumlK=JLhlX[PhlZaringJU^euml[]ONPOQZ N[PJ [SX H MeJUBQs^eJL[`YJBjeJUObnJrnN`WQVmP[]peumlQcO[Ph^JLh H [euml^eJ H JUb HaeligH MeJYKEgraveJUN`PJLhUTYXqNPbnJS^gtMJaumlJUP[]fcj H QR[]O[SX H MJIacutebLjehYUPJIacuteQcYu[]QVUPJUO QcO not QV[^ macr^gtMeJTbn[]O H []jehiexclJUP[]fUPJUYH [ONPfcfVmbn[]OUPJLhY[PJaelig[]O H MeJIacutecent=[]jO^NihQRJUY[SX H MJyXqNPbnJa not QV[^ macr^bj^OMeJyXiacuteNPbnJaeligQcYH MeJUONPbLbLjehdN H JUfVm YZJ[]ZOslashJUO H JU^^FMeJUacuteNSZOslashKfcQ H j^eJ[SX H MeJiexclUPJUfR[BbLQ H m QsYFNPfsY[laquo[]QVUPJUOQcO not QV[aqYj^ macr^ ^OecurrenJSe Xfrac34jNPO^WNtildeJUacutebLNPO [PcentYJLhYUPJ H MN HFH MeJ5XiacuteNPbnJUacutehZJ[]QR[]O QcYUPJLhYmWFJUfcf^eJUfsQZaringQ H JU^regXhZ[]Z H MJ[ H MJLhhZJ[]QR[]OY^MJ5UPJUfc[BbLQ H m[]QUPJUO QcO not QV[aqYj^ macr^ ^OecurrenJSe XQcObLfcj^eJUY H MeJNP^^Q H Qc[]ONPf H JLhlZaringYFbn[]ZaringQcOF[yXiacutehZ[]Z H MeJ5UiNihQcN H QR[]O [SX H MeJiexcl^eJUYbnhQRKeVH [PhY5WQ H Magrave`centj H ^e[BJUYOtildeOe[ H QcObLfcj^eJ H MeJaeligcentEgrave[]jO^NihlmVcentNPYZJU^ H JLhlZ WMQcbMeumlQcYUacuteNYYZaring[[ H MQsO[ H JLhlZ^KMeJtimesNSZOslashKfcQ H j^eJOtilde[SX H MeJyUPJUfc[BbLQ H maQcYiexclOe[PhlZaringNPfcQcurrenLJU^ centEgraveJ H WFJLJUOs NPO^ macrSmacre$YZjbdM H MN HTH MeJ OeJ[]N H QVUPJoU~NPfcjJUYIacuteNihZJ fR[WFJLh H MNPO f i`NPO^ H MeJKEgrave[]YZQ H QUPJ[]OJUYNihZJTMQ[]MeJLh H MNPOpoundf i^ J bLNPObn[]ZaringKNihZJ H MJ QcOQ H QsNPfUPJUfR[BbLQ H m[Pcent H NPQcOJU^jYZQcOF[ H MeJ bn[U~NihQsNPObnJZaringN H hdQk admacr s juWQ H M H MeJOtilde[]OeJOtilde[Pcent H NPQcOeJU^jYQcO[ H MeJordfUiNihQcNPObnJrega2Sj^KMeJordfXqNPbnJTQcYOe[ H WNtildeJUfsf9^eJ H JUb H JU^QcO H MeJUPJUfR[BbLQ H m[Pcent H NPQsOeJU^ajYQcO[ H MeJUiNihQcNPObnJa not Q[^ ^bjWMJLhZJUNPYIacuteQ H QcYIacutehZJUNPfcfmumlWNtildeJUfcfF^eJ H JUb H JU^QsO H MeJQcOQ H QcNPfUPJUfR[WbLQ H m7jYZQcOF[ H MeJbn[iVUiNihQcNPObnJpoundZ N H hQk a not QV[^ ^currencentj^_MeJ UPJUfR[WbLQ H m [Pcent H NPQcOeJU^ jYZQsO[ H MeJumlU~NihdQcNPObnJ^e[BJUYOe[ H NPfsfR[W NPOJltz bLQRJUO H YJ[]ZOslashJUO H N H QR[]O`[SX H MeJyXiacuteNPbnJauml[]O H MeJaumlbn[]O H hNihYm H [H MeJIacutebn[UiNihQcNPObnJlaquoZaringN H hQk^eJ H JLhZaringQcONPO H WMQsbM H N`PJUYUacuteNP^UiNPO H N[PJaelig[SX H MeJtimesbn[]fR[PhQcOFX[PhlZ N H QR[]OO^macr^ ^WVFEumlETH=gtNtildeFETH32EacuteltOacuterETHEacute`0Ntilde=KIgravek8ltIgraveFETHIgrave5=KETH32EacuteltOacute~2Oacute+(8ltIgraveEacute IcircIgrave5euml1IgraveFOacute=KIgraveIcircMJa^eJUYZbnhQcK H [PhYOslashcentNPYZJU^[]O H MJ`bn[UiNihQcNPObnJZaringN H hdQkNihJ`QZOslashK-fRJZOslashJUO H JU^ H [^eJ H JUb H MBjFZaringNPO XqNPbnJUYQcO UWQc^eJL[OacuteYJBjeJUObnJUY^MQsYaring^eJ H JUb H QR[]OegraveZaringNm cent=J`jYJU^Xiacute[PhtUWQc^eJL[ bn[B^QcO[ H [JUObn[W^eJYJUfcJUb H QVUPJUfVm H MeJOacuteMBjFZaringNPOegraveXqNPbnJS^ not [Ph`N []QVUPJUObn[]ZOslashKhZJUYZYZQR[]OOacutehN H QR[e H MeJoXiacuteNPbnJbLNPO7cent=J H hNPOYYZ Q HH JU^bWiexclQ H MN MQV[]MJLhThN H J H [H MeJ^eJ H hdQZOslashJUO H [SX H MeJcentNPbl`[Ph[]jO^O^uMQsY QsO H JLhZJUY H QcO[KhZ[PKEgraveJLh H m QcYUiNPfcjWVNicentfcJuX[PhUBQc^JL[Bbn[]OXiacuteJLhZJUObnJUYe]WMeJLhZJ H MeJ ZOslash[]Y H QZOslashKEgrave[Ph H NPO H NPO^regZOslash[]Y H U~NihdQcNicentfRJQcOFX[PhlZ N H QR[]OQcYfR[WbLN H JU^ []O H MJordfXiacuteNPbnJaq 5ZOslash[]Oe[]j`NPO^tUacutejMNSZaringJUfde sSsSs j^ J QcOQ H QcNPfcQVcurrenLJ H MJhdY H XiacutehNSZOslashJoWQ H M7N`bLQchbLfRJ QsOYZQc^eJ H MeJXqNPbnJ H [ H hNPbY`K^MJUOOeyacuteWFJsup1ZaringN`PJ H MeJNPb H QVUPJ7bn[]O H []jeheumlJUP[]fVUPJjYZQcOF[admacr s jeiexclWQ H MX8ordfaOgravejxaacuteILK KafUgravemiddot cent j^ltMeJregONPfybn[]O H []jehtimes[SX H MeJ bLjehZhJUO H QZaringN[PJ QcY H MeJUOOacutebdMe[]YJUO7NPYNPO QcOQ H QcNPfbLjhYUPJordfX[Ph H MJUacuteOJk H QZaringN[PJS^FMeJOtildeNPfV[P[PhQ H MFZMNPYcentEgraveJLJUOKEgraveJLhYXiacute[PhlZOslashJU^[]OYJUPJLhdNPf$YJjJUObnJUY^MeJaelighZJUYjf H Y5X[Ph H MJaeligYZJjeJUObnJpoundn5JLhQV`p NihJordm[]QVUPJUOQcOnot QV[^ethz^shyMeJaringKNihNSZaringJ H hZJ bMNPYaumlcentEgraveJLJUOYZJ HaumlH [sup1f s ^QMeJordmXqNPbnJ QcYordfWFJUfcfy^J H JUb H JU^NPO^ H hNPbY`PJU^times[]O H MJ|WMe[]fcJyYJjJUObnJS^MJyhZJUYZjf H YOX[Ph H MeJNtildeYZJjeJUObnJnN`WQVmP[]p

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ macrNihZJy[]QVUPJUO`QsO not QV[^ i^ JaeligbMe[B[]YJbaacute s ^ JtimesbLNPO`YJLJ H MN HH MeJXiacuteNPbnJaeligQcYuWFJUfcf^eJ H JUb H JU^aJUPJUOaQVX H MeJaumlbn[]fR[Phiexcl[SXMJLhYZMQRh H QsY(bLfR[]YJ H [ H MJgXiacuteNPbnJIacutebn[]fR[Ph^

YOEAEligMgtIltROgravesup3PshyAtildeT13MKI5O H MQcYKNiKEgraveJLheuWNtildeJKhZ[PKEgrave[]YJN OeJW 0jfRJLhQcNPOAumlZaringQsOQZaringQVcurrenUN H Qc[]OAumlZOslashJ H Me[W^ H [bn[]ZOslashK-j H J H MJUPJUfR[WbLQ H mpoundUPJUb H [Pharing[SXNPONPb H QVUPJ bn[]O H []jeh H MN H JUOYZjehZJUYtimesQ H WQcfcfJUP[]fVUPJ NPYordfXiacuteNPY H NPYOtildeKEgrave[]YZYZQRcentfcJ H [WNih^YIacuteNZaringQcOQCZIacutejFZ [SXN bnhQ H JLhQR[]OeumlQcObLfcj^QcOF[centEgrave[ H MUacutehZJ[]QR[]OeVcentNPYJU^TNPO^OtildecentEgrave[]jO^NihYmVcentNPYJU^ H JLhlZ Y^ q jehgNiKKhZ[]NPbMIacuteQcYcentNPYZJU^Otilde[]OYZMNiK=J[PK H QZaringQVcurrenUN H Qc[]OOslashKhQcObLQRKfRJUY$NPO^ QcYyKEgraveJLhYXiacute[PhlZOslashJU^ QcO H MehZJLJ5ZaringNPQcO Y H JLKYaringf^ltO H hZ[W^jb H QR[]O[SX$NOslash^mWONSZaringQcbLNPfYbMeJZOslashJIacuteQcO H MeJTbnhQ H JLhQR[]OOe ^vF[]ZOslashKj H N H Qc[]Oaelig[SX H MeJ_0jfRJLhdQcNPOaelig^eJLhQVUiN H QVUPJ[SX H MJbnhQ H JLhQR[]OOslashjYZQcO[OtildeYZMNiKEgraveJ

[PK H QZaringQVcurrenUN H Qc[]O H [[]fcYe^vF[]ZOslashKj H N H Qc[]Oa[SX H MeJtimesJUP[]fcj H Qc[]OaJBjN H QR[]O`[SX H MeJaeligNPb H QVUPJtimesbn[]O H []jehiexclXiacutehZ[]ZH MeJT^eJLhQU~N H QVUPJS^

iexcl Ntilde _ cent G NPfcfR[WY H [hJUNP^QcfVm H N`PJNtildeQcO H [NPbLbn[]jO H9H MeJybLNPYJ0[SXBhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H^eJUYbnhQRK H [PhY H MN H NihZJo[]fR[PcentNPfcfVmN HH NPbdMeJU^ H [ H MeJ JUP[]fVUWQcO[ hZJ[]QR[]OYtimesNPO^Y[H MN H UiNihYm^jehQsO[ H MJaumlKhZ[PKN[]N H Qc[]O [SX H MJaumlbLjehYUPJS^ JTYMe[W H MN HH MeJgUiNihQuVN H QR[]O [SX H MeJUYJ^JUYZbnhQRK H [PhdY QsO^jbnJUYNP^^Q H QR[]ONPf H JLhlZaringYQcO H MeJeumlJUP[]fcj H QR[]OJBjN H QR[]Oeuml[SX H MeJaringNPb H QVUPJ bn[]O H []jeh^MJUYJ H JLhlZaringYgZtimesjY H Oe[ H centEgraveJlaquoX[Phl[P[ HH JUOQcO[Ph^JLh H [ hZJUNPbMeumlN H hjeJZ QcOQZtimesjFZ[SX H MeJtimesbnhQ H JLhQc[]OaNPYUacuteQ H MNPYcentEgraveJLJUOKEgrave[]QcO H JU^[]j H QsOJkBKEgraveJLhQZaringJUO H NPfEgravehZJUYjf H Y^

Yfrac34XiacuteNiheumlNPYeumlMe[]ZOslash[S[PJUOeJL[]jYeumlbn[]fR[PheumlhZJ[]Qc[]OY`YZJ[]ZOslashJUO H N H Qc[]OQsY`bn[]ObnJLhdOeJU^OeWFJKhZ[PKEgrave[]YJ H MeJ`bn[U~NihQsNPObnJfrac34ZaringN H hdQk^eJ H JLhlZaringQcONPO H NPY N^eJUYbnhQRK H [Ph^MQcYY H N H QsY H QcbLNPfhZJ[]QR[]OeV4^eJLKEgraveJUO^eJUO H ^JUYZbnhQRK H [PharingNiKK=JUNihdY H [centEgraveJN UPJLhlm7hJUfRJU~NPO HH [B[]fampNPO^eumlY[ Q H MNPYUacutecent=JLJUOeumlYZjbLbnJUYZYXqjfcfVm NiKKfsQRJU^ H [XqNPbnJaring^eJ H JUb H QR[]OQcOfrac34UWQc^eJL[YJBjeJUObnJUY^

iquest acuteraquoacuteLacuteIltR]acuteAtildeagraveIgravefrac14dEcircsup1Atilde5AringiquestLmiddotNtildeIumliquestUumlgIumlUTHORNampAtildeEacutecedilAtilde5AringAcircnAtilde|iquestaacuteIacuteIumlIZEgravefrac14Zcedilfrac12frac14dAringiEcirc]iquestfrac14draquoiEcirc[NtildeIumlagraveAringEacutePAtildecedilwAacute4] uacute_^J^J^ iquest)` igraveraquoLCcedilfrac14cedil4Ecircfrac14draquo~Ecirc(Auml|AringAacuteCcedilfrac14Zcedil4Ecirc

Agrave5AringcedilAcircnAtilde$AtildeAcircnAuml|frac12AringAacutesup1AumldraquoTAringAEligwsup1raquo~ordm(frac12Atilde5AcircnAtilde5frac12AEligwAtildeAacuteampIgrave(Atilde AacuteIcirc~AumlUEcircSaIumligraveraquo13] x4~rv p4PldrRtcoPl|Egraveod5v pv i4vodaumlx4shyl not vsectpqo v tu not Iumlcb$Auml|EacutePAtilde|iquestednfrac14Oumlifrac14draquoIuml

agraveIgrave(Aumldraquo~Auml|Aringiquest~igrave4IumlPfrac14raquoiEcircfWIumliTHORNampAringIcircifrac14Igrave(Atilde5frac12G] divideugrave|ugrave|ugrave iquest` igraveAacuteAtildecedil4frac14ZAacutesup1Acirc|AtildeNtildeEacute~frac14dAgrave4UgraveUCcedilEgravefrac14cedil4EcircUacuteAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoUacuteOgraveregAumldcedilIcirc~sup1Atildecedil4frac14cedilAgrave4Icirc~sup1currenEumlAgravefrac14dfrac12=CcedilEgravefrac14AcircnAtilde5frac12AtildeAacutesup1Igravefrac14ordm|AtildeAgrave5AumlUEcircsup1raquo~ordmIaIumlaeligigraveiacuteraquoS] x4rv p ildrRtcodil|ampod5v pv P4vOtildeodOslashx4shy(l not vFsectpqo v tu not Iumlg frac14raquo~Agrave5AumldAring~AcircnAtildecediliquestehEgravefrac14raquoifrac14|Ecircfrac14Iuml

agraveAringEacutePAtildecedilwAacuteiquest[NtildeIumlWfrac14raquoiEcircifWIuml13b$Aumldcedilraquo~OumlcedilAuml|EacuteAEligqAacute4] divideugrave|ugraveuacute iquestkj ldrregv shy(ldrRtcl|ipwonm5v shyNtildetuOslashtushyl not vampipwo4v tu not sect9ldp4rRtcl|Egravedt lv pv ~rRtRl|9vDm~lrRtcod~ldiTrreg~vUacutel| Uiexcloqnldp4tcldrRtRod~ iquestpoAumlIuml uacute_qEr IumlOslashagrave9Ouml~Oumlfrac12sup1AtildeEcircaacuteUacutefrac14AacuteIcirc~AtildeIgravefrac14Aacutesup1Agravefrac14dfrac12BatildeAgravesup1Atilderaquo~Agrave5Atilde5AElig5iquestPatildeOumlcedilsup1raquoordm|Atildecedil g Atildecedilfrac12frac14dordmIumlhEgravefrac14dAEligwAtilde5frac12frac12Atilde5AElig5iquest g Iumliquest~szlig0Iumleb$sup1Igrave(Igrave(Atilde5frac12Riquestifrac14raquoiEcirc[NtildeIumlatildefrac14dOumlsup1cedilAumlI] uacute_^J^Er iquest`s[Atilde5AumlUEcircAtilde5AEligwsup1AgraveFfrac14dAgraveAacutesup1AcircnAtildeyAgrave5AumldraquoUAacuteAumldAringcedilAElig_aIuml x4~rv p4PldrRtcodPldpoundUodUp4Pl|WoqodshyiUrv paumlumltutcodutet13v uacute+w iquestex uacuteyIrz^ Iuml

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CBh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34LiquestBagraveyIumlWfrac14raquoiEcircidIumlBTHORNampAringraquo~Agravefrac14raquo13] uacute4^z^J^ iquest`[ampfrac14Igrave(AtildeEumlcAacuteIcirc~Atilde5AumlcedilAtildeAacutesup1Agrave(sup1raquoUAacuteAtildeordmdcedil4frac14Aacutesup1AumldraquoaeligOgraveuAumldcedil0sup1Igravefrac14dordmdAtildeAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIuml xQ|||~pwl~ lnrRtcodNtildeodiexclsect9lrRrv p auml9Pl| ~tuyldi j l|4Utu]vx4~rvreg t not v P4v Iumlh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34Liquestgagrave0IumliquestIumlgatildeUAacute4frac14dsup1Eacuteiquest9frac14draquoiEcircdIuml9THORNampAringraquo~Agravefrac14raquo13] uacute_^J^ xiquest` THORNampAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeIacuteEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34iraquo~Ecircsup1raquo~ordmsup1raquoIgrave(AtildeEcircsup1Agravefrac14frac12iexclsup1Igravefrac14ordm|Atilde5AEligaringEacuteLfrac34Oacutesup1raquoLAacuteAtilde5ordmcedil4frac14Aacutesup1raquo~ordm ordmdcedil4frac14|Ecircsup1Atilde5raquoLAacute frac14raquoiEcirccedilAtilde5ordm|sup1Auml|raquo sup1raquoOgraveuAumldcedilIgravefrac14ZAacutesup1Auml|raquo13aIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu notI iquesteE ^4y rdugrave Iumlh=Icircifrac14raquoiquestBETHIumlWfrac14raquoiEcircIuml g Atilde5AEligwAtildeJ] dividedugravedugraveuacute iquest` agraveAgraveAacutesup1AcircnAtildeFAgrave5Auml|raquoLAacuteAuml|AringcedilAElig$Ccedilgsup1AacuteIcircAuml|AringAacuteNtildeAtilde5Ecircordm|AtildeAElig_aIuml xQ||k|~pwld lnrRtcododUacutex4shy(l not v9sectpqo4v 4tu notuU v divideJw iquest divide xJx ydividezrJr Iumlh=Icirc~Atilde5AEligwraquo~frac14dAring~EcirciquesthIumliquestfWIuml=szligAtildeOgraveYacutecedilIAtilde5ordm|sup1Atildecediliquestfrac14draquoiEcirc g Iuml5Z=AumldAring~frac12AtildeAacute4] uacute_^J^z^ iquest`currenatildeUAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12cedilAtilde5ordmdsup1AumldraquoAEligwraquoifrac14dUgrave|AtildeEumlsEacuteifrac14dAEligwAtilde5EcircAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquofrac14|Ecircfrac14dOumlAacuteAtilde5EcircFAacuteAumlyEcircsup1s]AtildecedilAtilde5raquoLAacute-Ouml~IcircLfrac34AEligwsup1Agrave5frac14dfrac12~raquoAuml|sup1AEligwAtilde9Igrave(AumlUEcircAtilde5frac12AElig_aIuml xQ||k|~pqld~ lnrRtco~$osect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4vt iquest uacute|uacute_q y~uacute|uacute xIumlh=Auml|IcircAtilde5raquoiquestIuml] uacute4^z^uacute iquest`currenmiddotraquofrac14dAgrave Aacutesup1Acirc|Atilde Agrave5AumldraquoLAacuteAuml|AringcedilIacuteIgrave(AumlUEcircAtildefrac12AEligtimesfrac14draquo~EcirceumlEacuteifrac14dfrac12frac12AumlLAuml|raquoAElig_aIuml odshyiUrv pumltutcod pwl Utc0ldix4shyl not vsectEgravepwo4v tu not x4shyl not vOtildePnv p rsldidtu not) iquest divideUuacuteduacuteydivideLuacute UIumlh=Auml|IcircAtilde5raquoiquestSIumliquestUumlIuml13ZEgravefrac14cedil4Ecircsup1raquo~AtildeAacuteiquestfrac14raquoiEcircoNtildeIumlagrave9frac34Lfrac14dAgrave4Icirc~AtildeJ] uacute_^J^z iquest`atildeUAringcedilwOgraveufrac14dAgrave5Atilde0cedilAtilde5Agrave5Auml|raquoAEligqAacutewcedilAring~AgraveAacutesup1AumldraquotimesAring~AEligwsup1raquoordmfrac14AgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilaumlIgrave(AumlUEcircAtilde5frac12AElig_aIuml igraveiacuteraquoS] Lsect=xQ|od5v pv P4v od vwodshy(v rRp tc j v rregodtimestuodshyiUrv pumltutco Iuml~atildefrac14raquoUacuteTHORNampsup1Atilde5ordm|AumliquesthEgraveagraveyIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquestEgraveUumlIuml] dividedugrave|ugravedugrave iquest`currenatildeAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquo Ouml~frac14cedilAgrave5Auml|raquoLAacuteAuml|AringcedilAEligUacutefrac14AgraveAacutesup1currenOgraveuAEligUacuteAtilde5raquosup1Igravefrac14dordmdAtildecedilsup1AtildeIacuteIgraveAtilde5Ecircsup1Agravefrac14dfrac12AtildeIacuteEcircfrac34UEumlraquoifrac14dIgrave(sup1ecircLAring~Atilde]ampfrac14Ouml~Ouml~frac12sup1Agravefrac14ZAacutesup1AumldraquoAtilde5raquoeumlAgravefrac14Zcedil4Ecircsup1Auml|frac12Auml|ordmdsup1Atilde raquoUAring~Agravefrac12Atilde5frac14dsup1currencedilAtildeJaIumlfIcircIuml THORNFIumlAacuteIcirc~Atilde5AEligwsup1AElig5iquestraquo~sup1AcircnAtildecedilAEligwsup1currenAacutefrac34`AumlOgraveosup1Agrave5AtildeEumliacuteatildeAumldOuml~Icircsup1Yacutefrac14NtildeagraveraquoLAacutesup1OumlPAuml|frac12sup1AElig5iquestPeacutecedil4frac14raquo~Agrave5AtildedIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquest|UumlIumliquestUaacuteIacuteIumlEZEgravefrac14cedilfrac12frac14dAring~Ecirciquest[NtildeIumlLagraveAringEacutePAtildecedilwAacuteiquest|frac14draquoiEcirc dIumlnTHORN$frac14ZcedilAgrave5Auml|AringcedilwAacute4] divideugrave|ugraveUuacute iqueste`currenatildeOuml~frac14dAgrave5AtildeEgraveAacutesup1Igrave(AtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14EumlAacutesup1AumldraquoUacuteAring~AEligwsup1raquoordmfrac12Atilde5AcircnAtilde5frac12AEligwAtildeAacutefrac14dAgraveAacutesup1AcircnAtilde$AgraveAuml|raquoLAacuteAuml|AringcedilAEligfrac14Ouml~Ouml~frac12sup1AtildeEcirciexclAacuteAumlFIgraveNtildefrac34LAumlLAgravefrac14Zcedil4Ecircsup1frac14dfrac12ordmnfrac14ZAacuteAtildeEcircOtildeatildeIf-UumlkhEgraveETHaIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu not t v rJw iquest)x qJ+y xJ ^ Iuml

THORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquest13iexclNtildeIumlfrac14draquo~EcircdIumlWaacuteAuml|raquoLAacute4frac14ordm|raquoifrac14ZAacute4] divideugrave|ugraveUuacute iquest` ETHBAumldOumlPAuml|frac12Auml|ordmfrac34Oslashfrac14raquoiEcircIacuteAEligwIcirc~frac14dOumlPAtildeAgraveAuml|raquo~AEligqAacutewcedil4frac14sup1raquoUAacuteAEligyAumldraquotimesOumlifrac14Zcedil4frac14EumlIgrave(AtildeAacutewcedilsup1AgraveOslashfrac14dAgraveAacutesup1AcircnAtildearingAgrave5AumldraquoLAacuteAuml|AringcedilAElig_aIuml odshy~rv pumltutcodldP x4shy(l not vPLv p4rsldPtu notcent) v divideJw iquestuacute_qnugrave4yiuacute4rUuacute Iuml[Auml|Igrave(Atilde5AElig5iquestpounddIumlfrac14draquo~EcircaringmiddotNtildeIumleacuteifrac14Aring~ordm|Atilde cedil4frac14dAElig_] divideugrave|ugrave|ugrave iquestcurren` szlig9Atilde5Agrave5Aumldraquo~Agrave5sup1frac12sup1raquo~ordmIacuteEcircsup1AEligqAacute4frac14draquoAgrave5AtildeOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligfrac14draquo~Ecircaeligfrac12Atilde5AcircnAtilde5frac12EgraveAEligwAtilde AacuteAElig_aIumlpoundUodUp il|WoqUacuteumltul|-odshyNtildeshyFU~tR4lrRtcodTldix4shyl not vampgvipv v rsldrRtcod ) iquest dividedugravez^+ydivideddividez Iuml[cedil4frac145frac34LiquestszligyIumliquestdIumlyen-Auml|Aringraquo~ordmiquestampfrac14raquoiEcircagrave0Iumlampagravesup1currenfrac34LAtildecedil4] dividedugravedugraveuacute iquest `aacutesup1raquosup1IgraveNtildeAring~Igrave Ecircsup1AEligwAgrave cedilsup1Igrave(sup1raquo~frac14Aacutesup1Auml|raquosup1raquoOgraveregAumldcedilIgravefrac14Aacutesup1AumldraquoAgrave5frac12Aring~AEligqAacuteAtildecedilsup1raquo~ordmI]Igrave(AumlUEcircAtilde5frac12sup1raquo~ordmTfrac14raquoiEcircOslashecircLAringifrac14raquoUAacutesup1Ocircfrac14ZAacutesup1Auml|raquoOslashCcedilgsup1currenAacuteIcirc ordm|frac14dAringAEligwAEligIgrave(sup1currenicircAacuteAringcedilAtilde5AElig_aIumlTigraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquest=atildePIumliquest=aacuteIacuteIumlkZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestEgravefrac14raquoiEcirc[NtildeIuml=agrave9Aring~EacutePAtildecedilwAacute4] dividedugrave|ugraveUuacute frac14Uiquest` agrave EumliacuteatildeUAacuteAtilde5Ouml frac14dfrac12ordm|Aumlcedilsup1currenAacuteIcirc~IgraveAring~AEligwsup1raquoordmcedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtilde=Agrave5Auml|raquoLAacuteAuml|AringcedilAEligeOgraveuAumldcedilAcircUsup1EcircAtilde5AumlAuml|EacuteUbrvbarqAtilde5Agrave AacuteAElig=EcircAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoSaIuml~igraveraquo13]psect xw j x4 sect odpDumlqo odUacutex4shy(l not v9Pl| ~tu5op j rRtushyvwdtclNtildex4rv pwlnrRtKndvy]v pntc4v IumliETHWfrac14dIgrave(OumlPAtilde cedilAtilde|iquestieacuteWsup1raquofrac12Yacutefrac14raquoiEcirc]Iumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquestUatilde]IumliquestUaacuteIacuteIumlUZ=frac14cedilfrac12frac14dAring~EcirciquestUfrac14raquoiEcirccopy[NtildeIumlUagrave9Aring~EacutePAtildecedilwAacute4] dividedugravedugraveuacute EacuteiquestA` szlig9Atilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14AgraveAacutesup1AcircnAtildegAgrave5Auml|raquoLAacuteAumldAringcedilAEligOgraveuAumldcedilAcircUsup1YacuteEcircAtilde5AumlaringAuml|EacuteUbrvbarqAtilde5Agrave AacuteOtildeAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo Ccedilgsup1currenAacuteIcircaAgrave5frac14dIgrave(Atildecedil4frac14OslashAgrave5AumldIgrave(OumlPAtilde5raquo~AEligfrac14ZAacutesup1Aumldraquo13aIumligraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquesteatilde]IumliquestWaacuteIacuteIumlZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestefrac14draquo~Ecirc[NtildeIumlBagraveAring~EacutePAtilde cedilwAacute4] divideugrave|ugraveuacute Agrave|iquestk` g sup1EcircAtilde5AumlUacuteAuml|EacuteUbrvbarqAtildeAgraveAacuteFAEligwAtildeordm|Igrave(Atilde5raquoLAacute4frac14Aacutesup1AumldraquoAring~AEligwsup1raquo~ordmIacuteAtilde5Aring~frac12Atildecedilsup1frac14draquo cedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAElig_aIuml igraveiacuteraquoS] x4rv p ildrRtcodil|yodv pwv P4vIacuteoodshyiUrv paumlumltutcod Iuml g frac14draquoAgrave5Auml|AringAcircnAtildecediliquestehEgravefrac14draquo~frac14|Ecirc~frac14UIumlbyfrac14dAEligwAElig5iquesteaacuteIacuteIumliquestWagrave0Iuml Ucirc sup1currenAacuteUgravesup1raquoiquestWfrac14raquoiEcirctimesTHORNFIumlWETHBAtildecedilOcirc5AumldOumlPAuml|Aringfrac12AumldAElig_] uacute4^ JUiquestk`currenatilderaquoifrac14UgravenAtilde5AElig_]WagraveAgraveAacutesup1AcircnAtilde(Agrave5AumldraquoLAacuteAuml|Aringcedil0Igrave(AumlUEcircAtilde5frac12AElig_aIumlx4~rv p4PldrRtcoPl|WpoundUop4PldWoqodshyiUrv pTumltutcod iquest ndivideUuacuteyUzndivide Iuml

aacuteUacutefrac14dfrac12frac12frac14|Ecircsup1ciquest~szlig0IumliquestedIuml]atildeUAtildeAacuteIcirc~sup1frac14raquoiquest~frac14draquoiEcircZIuml g Atilde5IgraveNtildeAringcedilsup1G] uacute4^z^ UiquestS`atildeUIcircifrac14OumlPAtilde$Igrave(AumlUEcircAtilde5frac12sup1raquo~ordm0Ccedilgsup1AacuteIcirciexclOgraveregcedilAuml|raquoLAacuteOumlcedilAumldOumlifrac14dordm|frac14EumlAacutesup1Aumldraquo13]nfrac14ampfrac12AtildeAcircnAtilde5frac12AEligwAtildeAacuteEgravefrac14Ouml~OumlcedilAumlnfrac14dAgrave4Icirc13aIuml xQ|||~pwld lnrRtcodampodsectgldrRrv p 9Pl| ~tu9ldP j ln4Utreg]vx4~rvu t not v i4v Iordf iquest uacute z yiuacute+r UIuml

aacuteUacutefrac14draquoAEligwAuml|Aringcedilsup1Riquestagrave0Iumlfrac14draquo~EcircdIumlb$Auml|raquocedil4frac14|EcircS] uacute_^J^J^ iquestlaquo`currenaacuteAumldAacutesup1AumldraquoAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo`Ccedilgsup1currenAacuteIcirceumlfrac12Atilde5AcircnAtildefrac120AEligwAtilde AacuteAElig_aIuml igraveraquo13]x4~rv p4PldrRtcoPl|=ov pwv P4vNtildeodUacutex4shyl not vsectEgravepwo4v tu not Iumlcb$AumldEacutePAtilde|iquestednfrac14dOuml~frac14draquoIuml

aacuteAuml|raquoLAacute4frac14dordmdraquoifrac14ZAacuteiquestdIumliquestziexcl0IumlTHORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquestdfrac14draquo~EcircoNtildeIumlZagravegfrac34Ufrac14dAgrave4Icirc~AtildeJ] dividedugrave|ugraveUuacute iquest` agraveOslashcedilAtildeAcircsup1AtildeCcedilaeligAumldOgravePEcircAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeAEligwAringcedilwOgraveufrac14dAgrave5AtildeAElig_]AacuteAuml|OumlPAuml|frac12Aumldordmdfrac34Liquestgordm|AtildeAuml|Igrave(AtildeAacutewcedilwfrac34frac14draquoiEcirc EcircAtildeOgraveuAumlcedilIgravefrac14Aacutesup1Auml|raquoSaIuml x4shyl not vtimesldiOacuteumltutcododshy~rRtreg not0Inot v uacute_qw iquestuacuteugravendivide+y~uacuteugravezq|ugrave Iuml

aacuteAring~IgraveOgraveregAumldcedil4Ecirciquest=THORNFIumlgfrac14raquoiEcircdIumlatildeIcirc~frac14dIcircS] uacute4^ ^ iquest`currenmiddotOumlAacutesup1Igravefrac14frac12$frac14dOumlOumlcedilAumlicircsup1Igravefrac14Aacutesup1Auml|raquoAEligEacuteLfrac34Oumlsup1AtildeAgrave5AtildeCcedilgsup1AEligwAtildetimesAEligwIgrave(AumlLAumlAacuteIcircOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligFfrac14raquoiEcircOslashfrac14dAEligwAEligwAumlLAgravesup1Yacutefrac14ZAacuteAtildeEcircaringAcirc|frac14Zcedilsup1Yacutefrac14ZAacutesup1Auml|raquoifrac14frac12EgraveOumlcedilAumldEacute~frac12Atilde5Igrave(AElig_aIuml odshyNtildeshyFU~tR4lrRtcod~oaeligsectEgraveUpvUacuteldiEgraveni tsvw j ldrreg~v shy(lrRtccurrenshyt iquest rzr4y xJ q Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfa

yenKbrvbarsect =4 acirc $ zmiddotAEligwIcirc~AtildecediliquestdatildePIumlfrac14draquo~EcircdIumlnatildeAtilde AacuteIcirc~sup1frac14draquoS] uacute4^ ziquest` eacutecedilAuml|raquoLAacuteAEligeOumlcedilAumldOumlifrac14ordmnfrac14Aacutesup1raquoordmCcedilgsup1currenAacuteIcircFAgrave5AringcedilAcirc|frac14ZAacuteAringcedilAtildeEumlEcircAtilde5OumlPAtilde5raquoiEcircAtilde5raquoLAacuteBAEligwOumlPAtildeAtildeEcircS]

agravefrac12ordm|Aumlcedilsup1AacuteIcircIgrave(AEligEacute~frac14dAEligwAtildeEcircaumlAuml|raquoiexclampfrac14Igrave(sup1frac12AacuteAumldraquoEumldnfrac14Agrave5Auml|Eacutesup1eacute~AumldcedilIgraveNtildeAring~frac12frac14Aacutesup1Auml|raquoSaIuml poundUodUp4Pl|oqiexcloshyiUrsldrRtcoPl|sect=U~tc ordfenot iquest uacutedivide4yEqE^ Iumlfefrac14cedil4frac14ordm|sup1Auml|AElig5iquestoNtildeIumlfrac14draquo~EcircIacuteszligyIuml]THORNampAtildecedilsup1Agrave4Icirc~AtildeJ] uacute4^z^J^ iquest`s[Atilde5AumlUEcircAtildeAEligwsup1Agravefrac14AgraveAacutesup1AcircnAtildeFcedilAtilde5ordmdsup1Auml|raquo~AElig$OgraveregAumldcedil0Igrave(AumldAacutesup1Auml|raquoTAtilde5AEligqAacutesup1Igravefrac14Aacutesup1Aumldraquofrac14draquoiEcircAacutewcedil4frac14dAgrave4UgraveUsup1raquoordmAaIumligraveiacuteraquoS] x4rv p ildrRtcodil|-ov pwv P4vFodOslashodshyiUrv paumlumltutco Iumleh=AumldcedilwOgraveregAringgt[cedilAtilde5Atilde5Agrave5Atilde|Iumlfefrac14AacuteAtilde5Aringicirc]iquestatilde]Iuml] dividedugravedugrave|ugrave iquestpound`currenatildeOuml~frac14Aacutesup1frac14dfrac12AEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoTAumldOgrave=Agrave5Auml|frac12Aumlcedilysup1Igravefrac14ordm|Atilde5AEligampfrac14dAgrave5Agrave5Aumlcedil4Ecircsup1raquo~ordmAacuteAumlUacuteaacuteTHORNaringOgraveregAumldcedilIgravefrac14dfrac12currenEumlsup1AEligwIgraveaIumlyigraveraquo13] x4~rv p4PlrRtcodPld=od5v pv i vodododpFtu pwl4UtcldPx4shyl not vysectpqo v tu not Iumlatildefrac14dsup1raquoLAacute UumleAacutesup1Atilderaquo~raquo~Atildediquestieacutecedil4frac14raquo~Agrave5AtildedIumlfcedilAtildeAgrave5sup1Auml|AEligwAumliquesteacute=IumlEgravefrac14raquoiEcirc aacuteIacuteIumlcurrenZEgravefrac14cedilfrac12frac14dAring~EcircS] dividedugrave|ugraveUuacute iquest` Z-EumliacuteatildeUOuml~frac12sup1raquo~Atildeaumlfrac14dAgrave Aacutesup1Acirc|AtildeOtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAEligOgraveregAumldcedilOgraveRfrac14AEligqAacuteAcircUsup1EcircAtilde5AumltimesAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIumlOacuteigraveraquo13] x4rv p ildrRtcodil|od5v pv P4vaeligod x4shy(l not vUacutesectpqo4v 4tu not IumlETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1Riquest[cedilAtilde5Atilde5Agrave5Atilde|Iuml

szligAumldraquoOgraveufrac14cedil4EcirciquestszligyIuml] uacute_^J^q iquest` szlig9Atilde5ordmdsup1AumldraquoEumlsEacuteifrac14AEligwAtildeEcircFAEligqAacutewcedil4frac14ZAacuteAtilde5ordm|sup1Atilde5AEligeOgraveuAumlcedil-frac14dAgraveAacutesup1AcircnAtildeEgraveAgraveAuml|raquoLAacuteAuml|AringcedilIgrave(AumlUEcircAtilde5frac12AElig_aIuml x4~rv p4PldrRtcoPl|poundUodUp il|WoqodshyiUrv paumlumltutco I v dividezw iquest divideddividez^+yUdivide uacute Iuml

atildefrac14Igrave(AEligwAuml|raquoiquestzhIumliquestzIumlzZ=frac12frac14raquo~AgraveEumleacuteAtildecedil4frac14AringiEcirciquestJ[NtildeIumldagraveAringEacutePAtildecedilwAacuteiquestfrac14draquo~Ecirc dIumlJregPAtildecedilAring~Eacutesup1frac14I] dividedugravedugrave|ugrave iquest` agrave frac12Atilde5Acirc|Atilde5frac12UAEligwAtildeAacuteIgrave(AumlUEcircAtilde5frac12nOgraveregAumldcedilsup1Igravefrac14ordm|AtildeAgrave5frac12frac14dAEligwAEligwsup1siAgravefrac14ZAacutesup1Auml|raquo13aIuml x4~rv p4PlrRtcodPldpoundUodUp4Pl|BoqNtildeodshyiUrv pOtildeumltreg4tRod shy v Ew iquest uacute r4y~uacute4^Er Iuml

atildefrac14raquo~ordmdCcedilgsup1raquoAtilde|iquest9atilde]IumlEgravefrac14draquo~Ecircszlig0IumlampiexclAumldcedilraquoAtilde v Atilde5EcircAElig5Iuml w ] uacute_^J^ Uiquest ~vIacuteo|odUpaumltushyl not vipqo4v 4tu not ldP|m4oo4uml Iumlh=Icircifrac14dOumlIgravefrac14draquodegmacriexclampfrac14dfrac12frac12RIumlatildeAtildeAacuteIcircsup1frac14draquoiquestdIumlplusmn] uacute4^z^|ugrave iquestU` oAringIgrave(Atildecedilsup1Agravefrac14dfrac12Ufrac14frac12ordm|Aumldcedilsup1currenAacuteIcircIgrave(AEligWOgraveuAumldcedilOumlcedilAuml|Oumlifrac14ordmnfrac14ZAacutesup1raquoordmsup1raquoLAacuteAtildecedilwOgraveRfrac14Agrave5Atilde5AElig_]Jiexclampfrac14dIgrave(sup1frac12currenAacuteAuml|raquoEumldnfrac14dAgrave5AumldEacute~sup1

AtildeecircLAringifrac14Aacutesup1Aumldraquo~AElig-frac14draquoiEcircAgraveAuml|raquo~AEligwAtilde cedilAcirc|frac14ZAacutesup1Aumldraquo(frac12frac14CcedilgAElig_aIuml poundUodUp4Pl|]oqEgraveyen$t lv pv rRtcl| voshyv rRp~ iquest uacute4Uuacutey~uacute x uacute IumlatildeAtildeAacuteIcircsup1frac14draquoiquestAdIuml] uacute4^J^ xiquest kWvndvB]v r j v rregod IumlcurrenhEgravefrac14dIgraveNtildeEacutecedilsup1EcircordmdAtilderaquosup1AcircPIumlAfecedilAtilde5AEligwAElig5Iumlatildesup1Ecirc~Ecircsup1ecircUsup1Riquest4bIumliquest_yenNtildeIumlBfrac14Aring~Ocirc5sup1Gsup2AtildecedilAtilde|iquestagraveyIumlETHWfrac14draquoraquo~Atilde5raquoUEacute~frac14dAring~IgraveUacuteiquest5frac14draquo~EcircNtildeatildePIumlregPAring~Agrave4UgravenAtildecedil4] uacute_^J^ xUiquestE`currenagravegcedilAtildefrac149frac14draquoiEcirc$frac12Atilde5raquoordmdAacuteIcircyIgrave(sup1raquoEuml

sup1Igrave(sup1Ocirc5sup1raquoordm sup3iAumlCcedilgAEliggOgraveuAumldcedilAEligwIcircifrac14OumlPAtildeyAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo13aIuml xQ|||~pwl~ lnrRtcodoOtildex4shyl not vsectEgravepwo4v tu notordf v Ew iquest qEz+yqzqE Iumlyen=AtildeOcirc5Ocirc5sup1RiquestagraveyIumliquest5agrave0Iuml5ETHEgraveAEligfrac14dsup1Riquestfrac14draquo~Ecirc$agrave0Iuml Ucirc sup1frac12frac12AEligwUgraveLfrac34] uacute4^z^J^ iquestJ` agraveaeligAEligqAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12Ufrac14dOumlOumlcedilAumlnfrac14Agrave IcircampAacuteAumlgAEligwraquo~frac14dUgravenAtilde5AElig]OgraveuAumlcedilWEacutesup1Igrave(AumlUEcircfrac14dfrac12frac14draquoiEcircAacutewcedilsup1Igrave(AumlUEcirc~frac14frac12isup1Igravefrac14dordmdAtildecedilwfrac34aIumligraveraquo13] x4rv p ildrRtcodil|eodv pwv P4vyodx4shyl not vgsectpqo v tu not IumlAb$AumldEacutePAtildednfrac14dOuml~frac14draquoIumlreg]IcircUAringiquest]atilde]Iumlfrac14raquoiEcircaumlagrave0Iumleyen=Aringsup1frac12frac12AtildeJ] uacute_^J^ xUiquestpound` szlig9Atilde5ordmdsup1AumldraquotimesAgrave5AumldIgrave(OumlPAtildeAacutesup1currenAacutesup1Auml|raquo13]iAring~raquo~sup1currenOgraveYacutefrac34sup1raquoordmiexclAEligwraquo~frac14dUgravenAtilde5AElig5iquestPcedilAtildeordm|sup1Auml|raquoTordmdcedilAumlCcedilgsup1raquo~ordmiquestfrac14draquoiEcircZEgravefrac145frac34LAtilde5AEligacute|aacuteTHORNOgraveregAumldcedilIgraveFAring~frac12currenAacutesup1Eacuteifrac14raquoiEcirc sup1Igravefrac14ordm|AtildeTAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo13aIuml xQ|||micro~pwld lnrRtcodtimesosect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4v Icent iquesteJ q+yU^dugrave|ugrave Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfo

i $amp)(+-)013021+345627893lt=gt9A6CBfrac12OcircacuteIshyNT

frac12OcircacuteIltNTpara frac12frac34EMeJaumlQcYZYZjJUacuteQsY H [ ^QEgraveJLhZJUO H QcN H J H MeJordfXiacute[]fcfR[WQcO[Oslash^e[]ZaringNPQsOXiacutejOb H QR[]ONPfdaringocirc|adOuml times jOcircaacute uuml times a2atildeltszligaumlgtszliglOuml times j atilde auml

G QsObnJ H MJeumlYZJ H [SXIacuteNPfcfUacute^e[]ZaringNPQsOYMNPY Oe[ H N Y H hjb H jhZJ`[SXUPJUb H [PhQcNPfOtildeYZKNPbnJSefRJ H jYZ N`PJ H MeJeumlhZJ[]QR[]OYJUP[]fVUPJ H MehZ[]j[]M NrXqNSZaringQcfVm [SX H hNPOYYX[PhlZ N H QR[]OYa(|aagraveszlig jj emiddot iacuteaumlYlZOslash[[ H MaNPO^ centQ ~JUb H QVUPJS^ not [PhNOslashKEgrave[]QcO H $ aacute atildeshyszligaumlN eFWFJTOe[ H JSaring$ aagravej|aacutemiddot|aagraveszlig $ j WiexclQ H M |a s szlig $ jaacute $OumlcopytimesaagravejOcircaacutemiddot|aagraveszliglOumlutimesdj WiexclQ H M |a s szliglOumlcopytimesAjOcircaacuteAumlOumlutimes9J H jY H MeJUO^JOeJ H MeJordfUPJUfR[WbLQ H moUPJUb H [PhdY JUfs^kfrac12 YZjbM H MN H aringfrac12sup1aagraveszlig $ aagravejj|aacute aelig |aelig agrave aagraveszlig $ j YlaquoXiacuteNiharingNPY H MeJ bn[]ZOslashKj H N H QR[]O[SX H MeJ ^eJLhQU~N H QVUPJ QcYOslashbn[]ObnJLhOeJU^OeWFJNihZJQcOWVH JLhZJUY H JU^ QcO YYZaringNPfcfOtilde^JX[PhlZ N H QR[]OY^ J H MBjYJkWKNPO^ H MeJ H hNPOYX[PhZaringN H QR[]ONPbLbn[Ph^QcO[ H [hdY H [Ph^eJLh NmWfR[PhyacuteXiacute[PhlZtimesjfcNaring|aagraveszlig $ jpoundaacuteAElig|a s szlig $ j agrave aelig |aelig agrave a s szlig $ jaacute $ ragrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacute frac14 frac14 a s szlig $ j^ J H MeJUOQcO H hZ[W^jbnJ H MehZJLJgZ NPQcO^eJOQ H QR[]OYaringf^QMeJg0jfRJLhQcNPO^eJLhQU~N H QVUPJOtilde[SXocirc|adOuml times jordfaqQcO H MeJIacute^QRhZJUb H QR[]O[SXcedilfrac12jaring ocirc|adOumlcopytimesszlig_frac12jOcircaacutefcQZUcedil iacute ocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave admacrfj ^QMeJgZaringN H JLhQsNPfg^eJLhQVUiN H QVUPJOtilde[SXuumlStimesYa $ szliglOumlcopytimes)jaringsup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j|aacutefcQZUcedil iacute uumlStimesa $ ragrave3frac12ba $ jszliglOumlutimes agrave3frac12sup1a $ jj uuml]timesa $ szliglOumlcopytimesdjagrave admacr j^QMeJaumlYZMNiKEgraveJOtilde^eJLhQU~N H QVUPJOtilde[SXOcircuuml]timesa $ szliglOumlutimes)jaring

uumlnotraquotimes a $ szliglOumlcopytimesUcircszlig_frac12 jaacutefcQZUcedil iacute uumlStimesYa $ szliglOumlutimesragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave admacrS]j

uumlnyacutenthornnyumll13YSordmY_Fordfy

yenKbrvbarsect =4 acirc $ hq centUWQR[]jYZfVmSe-centmaJkBKNPO^QcO[ admacr jUacuteNPbLbn[Ph^QcOF[ H [hdY H [Phd^eJLhordfNmBfR[PhordfXiacute[PhlZtimesjfcNeWFJaumlMNUPJSaring sup1uumlStimesYa $ szliglOumlcopytimesUcircszlig_frac12 jaacuteAumluumlnotraquotimes a $ szliglOumlcopytimesszlig_frac12jhuumlStimesa $ szliglOumlcopytimes)j frac12sup1a $ j admacrj J H MeJUOabn[]ZOslashK-j H JZOslash[PhJaumlKhZJUbLQcYZJUfVm H MJ0jfRJLhQcNPO ^eJLhdQVU~N H QUPJauml[SXcopyocirc|adOumlcopytimesdj^ JMNUPJSaringocircOcircadOumlutimesaagravejj ocircOcircadOumlutimes)jagrave aacute fagrave = thorn yuml uuml times a $ aagravejszliglOuml times aagravejj $ uuml times a $ szliglOuml times j $ FH admacrSmacr]j5O H MJohY H QcO H J[PhdNPfdeltWFJZaringN`PJ H MeJU~NihdQcNicentfRJ bMNPO[PJ $ aagravejaacute $ agrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacuteethicirc7a2atildeshyszligaumlFjszligicirc cent a2atildeltszligaumlj eWMQcbdM[]QVUPJUYaring thorn yuml uuml]timesYa $ aagravejszliglOumlcopytimesYaagravejj $ aacute admacrS]j

5 uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlutimes agrave3frac12sup1a $ jjlt^eJ H ocirc a $ jlt $WMJLhZJocirc a $ jQcY H MeJgXiacute[]fcfR[WQcO[aringSNPbn[PcentQcNPOtZaringN H hdQkKaring

ocirc a $ jaacute oacute fcedilxagrave frac14 iacute oslashfrac14Uordm agrave frac14 iacute oslashfrac14 ugraveagrave frac14 iacute acircfrac14ordm fcedil agrave frac14 iacute acircfrac14 ugrave ocircNPO^ YZ[eFWNtildeJIacuteMNUPJSaring

^eJ H ocirc a $ jOcircaacute fUragravee^QVUKafrac34frac12sup1a $ jjragrave cent ^eJ H amacr frac12sup1a $ jjMJUOWNtildeJauml[Pcent H NPQcOOaring

fsQZcedil iacute ^eJ H ocirc a $ j fagrave aacute ^QVUKafrac34frac12sup1a $ jj admacr]zSjMJJBjN H QR[]OxadmacrSmacr]j H MeJUOcent=JUbn[]ZaringJUYaringocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave aacute fagrave middot uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jjlt 13raquo ocirc a $ jlt $ uumlStimesa $ szliglOumlcopytimesAj $ admacrSi]j JTbLNPO`YZjeKKEgrave[]YJ H MN H ^eJ H aocirc a $ jjfrac14aacute sfrac12 agrave frac12 $ ^ JZaringNm H MeJUO H N`PJ^eJ H aocirc a $ jjfrac34 s eNPO^ WNtildeJ ^eJUPJUfR[PK H MeJaJkWKhZJUYYZQR[]OadmacrSi]j NPYoX[]fsfR[WQsO[centmNP^^QcO[aringN H JLhZ QcO H MeJIacuteYZJUbn[]O^aQcO H J[PhNPfltWMQcfcJaumlYZjeKKhJUYZYZQcO[ H MeJtimesYZNSZOslashJ H JLhlZQcO H MJordfhY H QcO H J[PhNPfdaring ocirc|adOumlcopytimesYaagravejj ocirc|adOumlcopytimes)jagrave aacuteegraveOtildef1rOtilde cent admacrSh]j

uumlnyacutenthornnyumll13YSordmY_Fordf

s $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJSaring

Otilde aacute uuml]timesa $ ragrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave ^eJ H aocirc a $ jj $ ad s jOtilde cent aacute uuml]timesa $ szliglOumlcopytimesdj ^eJ H aocirc a $ jj fagrave $ adfj

9J H jY_ZaringN`PJordmagrave H JUO^ H [WNih^Y s ^curreniquestYZQcO[frac34admacrjiexclNPO^JOQ H Qc[]OYadmacr e macrS]jeWFJ[PJ H aringfcQZUcedil iacute Otilde aacute sup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j $

aacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ uuml times a $ szliglOuml times j frac12sup1a $ j $fcQZUcedil iacute Otilde cent aacute uuml]timesa $ szliglOumlcopytimesdj^QVUKafrac34frac12 j $

O^ Y[Xiacute[Ph H MeJgNtildejfRJLhQsNPO ^eJLhQVUiN H QVUPJSeWFJgO^Oaring ocirc|adOuml times szlig_frac12jumlaacuteyacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ amacrreguumlStimesYa $ szliglOumlcopytimes)j frac12sup1a $ j7 uuml]timesYa $ szliglOumlcopytimes)j^QVUKafrac34frac12sup1a $ jjj $aacute uumlnotraquotimes a $ szliglOuml times szlig_frac12j $ ^QVUKaduuml times frac12j $ ad j

MeJUO NiKKfVmWQcO[ H MJ hJLJUOWVAQRJZ NPOO H MeJL[PhZJZQcO ad jeWNtildeJ5ONPfcfmtimes[Pcent H NPQcOOaring ocirc|adOumlcopytimesszlig_frac12jOcircaacute uuml raquotimes a $ szliglOumlcopytimesUcircszlig_frac12j $ uacutefrac14 5 uuml]timesYafrac34frac12 eacuteAgraveiquestsup1AacuteAtildeAcircj THORN adS]jWMJLhZJ5eacuteAgraveiquestsup1AacuteAtildeAcircyQcY H MeJUacutejOQ H QcOOgraveWNih^ Oe[PhlZaringNPf H [ aelig OumlcopytimesUcirc^MeJ_NtildejfRJLhQcNPO ^eJLhQVUiN H QVUPJQcY(O[ H JU^ ocirc raquo aagravej(QcO H MeJaumlKNiKEgraveJLhNPO^ H MeJaumlYZMNiKEgraveJauml^eJLhQU~N H QVUPJyuuml raquotimes QcY(Oe[ H JU^ frac14 frac14 ^iquest acutemicrosup1cedilFLft not [PhyYQZOslashKfcQsbLQ H mSeWNtildeJ(bM[[]YJ H MeJcopyXiacute[]fcfR[WQcO[_U~NihQsN H QR[]OaeligQcO H MeJKhZ[B[SXaring$ aagravejaacute $ agrave3frac12sup1a $ j^MJiexclKh[[SXZaringNm NPfcYZ[IacutecentEgraveJiexcl^JUPJUfR[PKEgraveJU^WiexclQ H MZaring[PhZJ_[PJUOJLhNPfUiNihQcN H QR[]OYFYjbM NPYaring $ aagravejaacuteAacuteAgravea $ szligYagravejWQ H MAcircAgrave`NOslashYYZOslash[B[ H MXiacutejOb H QR[]ONPO^AcircAgravea szligYagravejcentQ ~5JUb H QVUPJS^

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ ffrac12OcircacuteIshyNT AcircE J(MNUPJ H [Otildebn[]ZOslashK-j H J H MJNtilde^QEgraveJLhZJUO HH JLhZaringY9[SXQa macr]j9QsOauml[Ph^eJLh H [Uacute[Pcent H NPQcO H MeJ

JUP[]fcj H QR[]OJBjN H QR[]O[SX H MeJ NPb H QUPJ bn[]O H []jehX[Ph H MeJ ^JUYZbnhQRK H [PhdYaumlcentNPYJU^Oacute[]OH MeJ(bn[U~NihQsNPObnJ ZaringN H hQVktimes^eJ H JLhlZ QcONPO H a2Ograveh]j^OgraveMeJ(bn[]ZOslashKj H N H QR[]OaringQcYampKEgraveJLhYXiacute[PhlZOslashJU^Xiacute[Ph H MeJIacute^eJUYZbnhQRK H [Ph_uuml thorn timesOslash yuml ^ q centUWQR[]jYZfmSeN YZQZ QcfcNihbn[]ZOslashKj H N H QR[]OabLNPOacent=JIacute^e[]OeJXiacute[PhOcircuuml thorn UgraveUcircUacuteUuml yuml ^ JiexclbLNPOaeligJkBKhJUYZYOcircuuml thorn timesOslash yuml NPYyNUacutebn[]ZTcent-QcON H QR[]Oaelig[SXgtXiacutejOb H QR[]OYamp^eJLKEgraveJUO^QcOF[[]O H MJOtildehZJ[]QR[]OwOuml timesOslash aring

uumlgtthorn times Oslash yuml a2atildeltszligaumlgtszligYagravejaacute`Ograveoacute m thorn timesOslash yumlaIgraveagrave thorn timesOslash yumlAtilde j cent ocirc adjWMJLhZJordmaacuteAuml85eWiexclQ H MAring8 H MeJordfXqjOb H Qc[]O QcO H h[B^jbnJU^ QcOpounda2Ograveh]je-NPO^aringm thorn timesOslash yuml aacute agrave thorn timesOslash yuml agrave thorn timesOslash yumlcent agrave thorn timesOslash yuml agrave thorn timesOslash yumlAElig agrave thorn times Oslash yumlCcedil agrave thorn timesOslash yumlEgrave agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlEgrave j cent agrave thorn times Oslash yumlcent aIgraveagrave thorn timesOslash yumlCcedil j cent agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlAElig j centWQ H MOaring EFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFH

agrave thorn timesOslash yuml aacute w$ thorn yuml aOtilde S times Oslash j cent atilde aumlagrave thorn timesOslash yumlcent aacute w$ thorn yuml aOtildeOgravecent Scenttimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yuml aacute w$ thorn yuml aOtildeS Stimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yumlAElig aacute w$ thorn yuml aOtilde S times Oslash jaOtildeOgravecent ScenttimesOslash j atilde aumlagrave thorn timesOslash yumlCcedil aacute w$ thorn yuml aOtilde S times Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlEgrave aacute w$ thorn yuml aOtilde cent S centtimes Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlAtilde aacute w$ thorn yuml atilde auml O^ Y[ H MJordfXiacutejOb H QR[]OY aelig thorn timesOslash yumlauml MNUPJ H MeJgXiacute[]fcfR[WiexclQcO[aeligJkBKhZJUYZYZQR[]OYaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

aelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlcent aacute aOtilde cent S centtimesOslash j centaelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlAElig aacute aOtilde S timesOslash jaOtilde cent S centtimesOslash jaelig thorn times Oslash yumlCcedil aacute aOtilde S timesOslash jaOtilde S timesOslash jaelig thorn times Oslash yumlEgrave aacute aOtildeOgravecent ScenttimesOslash jaOtilde13 StimesOslash jaelig thorn times Oslash yumlAtilde aacutemiddotf

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBnot h[]Z H MeJUYJaumlJkWKhZJUYYZQR[]OYeWFJOtildeJUNPYZQcfm ^eJU^jbnJ H MN H aring

$ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde aumlregaacute sEacutefrac12poundEcirc iuml

J H MeJUO MNUPJ H [Tbn[]ZaringKj H J H MeJ H JLhlZaringY eacute thorn times Oslash yumlauml XiacutehZ[]Z H MeJJkWKhZJUYZYQR[]OYamp[SXagrave thorn timesOslash yumlauml eWMQcbM fRJUNP^Y H [aringEFFFFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFFFFH

eacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideoslash aacute w$ thorn yuml uacute ouml $ordfdivideacirc uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIgrave yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H a timesOslash jjeacute thorn timesOslash yumlcent aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideacirc

aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIcirc yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideEuml aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideacirc thorn thorn uacute ouml $_divideIuml yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yumlAElig aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIuml aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideEuml uacute ouml $ordfdivideIuml thorn uacute ouml $_divideIcirc uacute ouml $ordfdivideIgrave yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlCcedil aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIcirc aacute w$ thorn yuml cent thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideacirc uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlEgrave aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIgrave aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideoslash uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlAtilde aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIacute aacute w$ thorn yuml thorn +ETH ouml $_dividethorn uacute ouml $ordfdivideIacute yuml Iuml 8 raquo aq^J H a timesOslash jj

O^centmJkWKhZJUYZYZQsO[ H MeJbn[UiNihQcNPObnJZaringN H hQVkpoundWQ H M H MJregXqjOb H QR[]OYagrave thorn timesOslash yumlauml NPYXiacute[]fcfR[WQcO[aring

timesOslashlaquoaacute 1NtildeNtildeNtildeNtildeNtildeNtilde3uacute ouml $ordfdivideoslashuacute ouml $ordfdivideIacute uacute ouml $_divideIumluacute ouml $_divideIacute uacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIumluacute ouml $ordfdivideIacute uacute ouml $_divideacircuacute ouml $_divideIacute uacute ouml $ordfdivideIgraveuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacute uacute ouml $_divideIgraveuacute ouml $_divideIacute uacute ouml $ordfdivideEumluacute ouml $ordfdivideIacute

6OgraveOgraveOgraveOgraveOgraveOgrave7 J H MJUO^eJU^jbnJSaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

eacute thorn times Oslash yuml aacute a fj thorn yuml ^eJ H aDC Ptimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlcent aacute a fj thorn centcent yuml ^eJ H aDC centcenttimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yuml aacute a fj thorn curren yuml ^eJ H aDC 4times Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlAElig aacute a fj thorn cent yuml ^eJ H aDC centtimes Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlCcedil aacute a fj thorn curren yuml ^eJ H aDC times Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlEgrave aacute a fj thorn centcurren yuml ^eJ H aDCcent4times Oslash j48 raquo aq^eJ H a timesOslash jjeacute thorn times Oslash yumlAtilde aacute amp^eJ H a timesOslash j48 raquo aq^eJ H a timesOslash jj

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ SWMJLhZJC EBtimesOslash QcY H MeJgZaringN H hdQk ^eJU^jbnJU^Xh[]ZOacutetimesOslasharingcentm YZjeKKhZJUYZYZQcOF[ H MeJyuuml UumlON hZ[WNPO^ H MJ I UumlON bn[]fcjFZaringOO^]MeJbn[]ZOslashKj H N H Qc[]OordmX[Ph H MeJ^eJUYZbnhdQRK H [Ph|uuml thorn UgraveUcircUacuteUuml yuml QcYyYQZaringQcfcNihNPO^WFJ H MeJUOOslashMNUPJNPfcf H MeJ(JkWKhZJUYZYZQc[]OY H [aumlbn[]ZOslashKj H J H MeJJUP[]fcj H QR[]OaeligJjN H QR[]OXiacutehZ[]Z H MeJg[PJUOJLhNPfOXiacute[PhlZIacutejfcNta macr]j^gtMQcYcopy[]QVUPJUY H MeJTJUP[]fcj H QR[]O JBjN H QR[]Osup1admacr s j^

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBΩ out

Objects

Γ

inΩ

inΩ

Background Part

-t not Upv copy ETHEgraveIcircAtildeampAacuteiacuteCcedil=AumlFcedilAtilde5ordm|sup1Aumldraquo~AElig9AumldOgravefrac14raquoUacutesup1Igravefrac14dordm|Atilde

Ω

Ω out (τ)Ω

(τ)in

N

Γ(τ)

Ω

N

v

w

N

-t not Upv ETHEgraveIcircAtildeyEcircAumldIgravefrac14dsup1raquo~AEliggfrac14raquoiEcircAacuteIcircAtilde$AcircnAtilde5AgraveAacuteAumlcedilAEliggsup1raquoUAcircnAumldfrac12AcircnAtildeEcircsup1raquoiexclAacuteIcirc~Atilde$EcircAtildecedilsup1Acirc|frac14ZAacutesup1Aumldraquo

uumlnyacutenthornnyumll13YSordmY_F2ordf

yenKbrvbarsect =4 acirc $ Smacr

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 Atilde|IumligraveAacuteAtildecedil4frac14ZAacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvyzU eacuteWsup1ordm|AringcedilAtilde5AEligfrac14iquest Eacuteiquest AgraveJ]iUumlAcircnAumldfrac12AringAacutesup1Auml|raquoOtildeAumlOgraveeAacuteIcirc~Atildeyfrac14dAgrave Aacutesup1Acirc|Atilde0AgraveAuml|raquoLAacuteAuml|AringcedilIgravefrac14raquoifrac14ordm|AtildeEcircUacuteEacuteLfrac34AacuteIcirc~AtildefTHORN$Uuml v qzqwsup1raquo~Agrave5frac12AringiEcircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquoifrac14frac12ampAacuteAtildecedilIgrave(AElig5IumlgeacuteWsup1ordm|AringcedilAtilde5AEligOtildeEcirc]iquest Atildediquest Ograve] g sup1AEligwAringifrac14frac12sup1Ocirc5frac14Aacutesup1Auml|raquo`AumldOgrave0AacuteIcirc~AtildeTAgrave5AumldcedilwcedilAtilde5AEligwOumlPAumldraquoiEcircsup1raquoordmAcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 OgraveuAring~raquoAgraveAacutesup1Auml|raquosup1raquo~Agrave5frac12Aring~Ecircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquo~frac14dfrac12ampAacuteAtildecedilIgrave(AEligraquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirc EacutePAtildeAacuteiacuteCcedil=Atilde5Atilde5raquo ugrave frac14draquoiEcirc divide JUiquestAEligwAring~Agrave4IcircTAacuteIcirc~frac14Aacute$AacuteIcircAtilderaquo~Atilde5ordm|frac14Aacutesup1AcircnAtildeAcircdfrac14dfrac12AringAtilde5AElig0frac14cedilAtildefrac12AumlCcedilEgraveAtildecedilyAacuteIcirc~frac14draquo uacutedivide Uacutefrac14raquoiEcircaumlAacuteIcirc~AtildeOumlPAumldAEligwsup1Aacutesup1AcircnAtilde(Aumldraquo~Atilde5AEligyfrac14ZcedilAtilde(Icirc~sup1ordm|IcircAtildecedilAacuteIcircifrac14raquo uacuteZdivide Iuml

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

Ecirc]Iumligraveraquo~sup1currenAacutesup1frac14dfrac12BAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 Atilde|IumligraveAacuteAtilde cedil4frac14Aacutesup1Auml|raquo ugravedugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not Upv ucirc eacuteWsup1ordmdAringcedilAtilde5AEligtimesfrac14iquest Eacuteiquest AgraveJ]ampUumlAcirc|Auml|frac12AringAacutesup1Auml|raquoAumlOgrave(AacuteIcirc~Atildearingfrac14AgraveAacutesup1AcircnAtildeOslashAgrave5Auml|raquoLAacuteAumldAringcedilIacuteIgravefrac14draquoifrac14ordm|AtildeEcirc`EacuteUfrac34AacuteIcircAtildeOcircfTHORN$Uumlv q w iquestiexclCcedilgsup1currenAacuteIcirc~AumldAringAacuteAacuteIcirc~Atildefrac14dEcirc~Ecircsup1Aacutesup1Aumldraquoifrac14dfrac12TAacuteAtildecedilIgrave(AElig5IumliexcleacuteWsup1ordm|AringcedilAtildeAElig Ecirc]iquest Atildediquest Ograve] g sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo AumlOgraveaeligAacuteIcirc~AtildeAgraveAumldcedilwcedilAtildeEumlAEligwOumlPAuml|raquo~Ecircsup1raquo~ordm AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 OgraveregAring~raquo~Agrave Aacutesup1AumldraquoeumlCcedilgsup1currenAacuteIcirc~Auml|AringAacuteIacuteAacuteIcircAtilde frac14|Ecirc~Ecircsup1currenAacutesup1Aumldraquoifrac14frac12FAacuteAtildecedilIgrave(AElig v raquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirceumlAEligwAring~Agrave4Icirc AacuteIcirc~frac14AacuteIgravefrac14icirc vOOtilde wpOumldivide z w Iuml

uumlnyacutenthornnyumll13YSordmY_F2

S $amp)(+-)013021+345627893lt=gt9A6CB

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIumligravesAacuteAtildecedil4frac14Aacutesup1Aumldraquogt ugrave|ugrave AgravedIumlieacuteWsup1raquoifrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12Acirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 AtildedIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIumlieacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvtimesLg sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo(AumldOgravePAacuteIcirc~AtildeAtildeAcircnAuml|frac12AringAacutesup1AumldraquoAumldOgravePAacuteIcircAtildeEgraveAgrave5Auml|raquoLAacuteAumldAringcedil-frac14draquo~EcircNtildeAacuteIcirc~AtildeEgraveAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 v Ccedilgsup1AacuteIcircAuml|AringAacuteAacuteIcircAtildeEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircFAacuteAtilde cedilIgrave w OgraveregAumldcedilEgraveAacuteIcircAtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoAumlOgraveAacuteIcircAtilde9Ograveufrac14dAgrave5AtildeAring~AEligwsup1raquo~ordmyAacuteIcirc~Atilde9Agrave5AumlZAcirc|frac14Zcedilsup1frac14draquo~AgraveAtildeIgravefrac14Aacutewcedilsup1currenicirc]Iuml

frac14Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcircnAtilde EacuteIumligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 v AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde w Agrave|Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacutefrac34 v Acircdfrac14cedilsup1frac14draquoAgrave5Atilde w-t not Upv h=AumldIgrave(Oumlifrac14cedilsup1AEligwAumldraquoOtildeAumldOgraveAacuteIcirc~Atilde$sup1raquo~sup1currenAacutesup1frac14dfrac12eAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34iexclAgrave5Auml|Igrave(OumlAringAacuteAtildeEcircAringAEligwsup1raquo~ordmAacuteIcirc~Atilde$AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde0Igravefrac14Aacutewcedilsup1currenicircv iordmdAringcedilAtildeFEacute w AacuteAumliexclAacuteIcircAtildeAuml|raquoAtildeFAgrave5AumldIgrave(Ouml~AringAacuteAtildeEcircTAringAEligwsup1raquo~ordmiexclAacuteIcircAtildeFAcircdfrac14cedilsup1frac14draquoAgrave5Atilde v ~ordm|AringcedilAtildeFAgrave w OgraveregcedilAumldIgrave AacuteIcirc~AtildeNtildeAEligfrac14dIgrave(Atildesup1raquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcirc|Atilde v iordmdAringcedilAtilde$frac14 w Iuml

uumlnyacutenthornnyumll13YSordmY_F2_a

yenKbrvbarsect =4 acirc $ ]z

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv Oslash| THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5AtildeccediliacuteAtildecedilsup1UgraveUegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_o

Si $amp)(+-)013021+345627893lt=gt9A6CB

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv ordf THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5Atildeccedilqfrac14dUgraveUsup1currenfrac34LAumldegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_y

RR-0114-SJEHANpdf
  • wwwi3sunicefr
    • httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf
Page 5: LABORATOIRE INFORMATIQUE, SIGNAUX ET SYSTEMES DE …mh/RR/2001/liste-2001.pdf · 2002. 6. 27. · [Dir01] DIRAT L. “Outils pour des Mathématiques Interactives et Distribuées”

LABORATOIRE I3S Les Algorithmes Euclide B ndash 2000 route des Lucioles ndash BP 121

06903 Sophia Antipolis Cedex ndash Teacutel (33) 492 942 701 ndash Teacuteleacutecopie (33) 492 942 898 httpwwwi3sunicefrI3SFR Pour tout renseignement srsquoadresser agrave Micheline Hagneacutereacute Teacutel (33) 492 942 704 ndash email mhi3sunicefr

Rapports de Recherche ndash Rapports Techniques RR 00-01 CAPOUILLEZ A CHIGNOLI R CRESCENZO P LAHIRE P

ldquoHow to Improve Persistent-Object Management using Relationship Information rdquo Rapport de Recherche I3SRR--2000-01--FR Mai 2000 14 pages

RR 00-02 CAPOUILLEZ A CHIGNOLI R CRESCENZO P LAHIRE P

ldquoGestion des objets persistants gracircce aux liens entre classesrdquo Rapport de Recherche I3SRR--2000-02--FR Avril 2000 10 pages

RR 00-03 CRESCENZO P PAQUELIN J-L

ldquoInfeacuterence de type et langages agrave objets de classesrdquo Rapport de Recherche I3SRR--2000-03--FR Feacutevrier 2000 10 pages

RR 00-04 PRONZATO L

ldquoExperimental design with random regressors at the design stagerdquo Research Report I3SRR--2000-04--FR March 2000 13 pages

RR 00-05 CAPOUILLEZ A CHIGNOLI R CRESCENZO P LAHIRE P

ldquoModeling hypergeneric relationships between types in XMLrdquo Research Report I3SRR--2000-05--FR March 2000 9 pages

RR 00-06 ANDREacute C PEacuteRALDI-FRATI M-A

ldquoBehavioral Specification of a Circuit using SyncCharts A Case Studyrdquo Research Report I3SRR--2000-06--FR March 2000 9 pages

RR 00-07 CAPOUILLEZ A CHIGNOLI R CRESCENZO P LAHIRE P

ldquoTowards a More Suitable Class Hierarchy for Persistent Object Managementrdquo Rapport de Recherche I3SRR--2000-07--FR Mai 2000 9 pages

RR 00-08 PRONZATO L THIERRY E

ldquoA Minimum-Entropy Estimation for Regression Problems with Unknown Distribution of Observation Errorsrdquo Research Report I3SRR--2000-08--FR June 2000 14 pages

RR 00-09 GRELLIER O COMON P

ldquoAnalytical Blind Channel Identificationrdquo Research Report I3SRR--2000-09--FR June 2000 25 pages

RR 00-10 CAPOUILLEZ A CHIGNOLI R CRESCENZO P LAHIRE P

ldquoHyper-geacuteneacutericiteacute pour les langages agrave objets le modegravele OFLrdquo Rapport de Recherche I3SRR--2000-10--FR Septembre 2000 16 pages

RR 00-11 ANDREacute Ch

ldquoSynchronous Interface Behabior - Syntax and Semanticsrdquo Rapport de Recherche I3SRRmdash2000-11mdashFR Deacutecembre 2000 17 pages

RR 00-12 PRONZATO L THIERRY E

ldquoSequential Experimental Design and Response Optimisationrdquo Rapport de Recherche ndeg I3SRR--2000-12--FR Deacutecembre 2000 12 pages

RR 00-13 JEHAN-BESSON S BARLAUD M AUBERT G

ldquoEulerian Region-Based Active Contours for Segmentation and Tracking of Non-Rigid Video Objectsrdquo Rapport de Recherche ndeg I3SRR--2000-13--FR Deacutecembre 2000

LABORATOIRE I3S Les Algorithmes Euclide B ndash 2000 route des Lucioles ndash BP 121

06903 Sophia Antipolis Cedex ndash Teacutel (33) 492 942 701 ndash Teacuteleacutecopie (33) 492 942 898 httpwwwi3sunicefrI3SFR Pour tout renseignement srsquoadresser agrave Micheline Hagneacutereacute Teacutel (33) 492 942 704 ndash email mhi3sunicefr

RR 00-14 MUHAMMAD W RIX H MESTE O LIEBERT A

ldquoModeacutelisation du Test drsquoOcclusion en Doppler-Laserrdquo Rapport de Recherche ndeg I3SRR--2000-14--FR Deacutecembre 2000 7 pages

RR 00-15 MUHAMMAD W MESTE O RIX H

ldquoComparison of Single and Multiple Time delay Estimators Application to Muscle Fiber Conduction Velocity Estimationrdquo Research Report I3SRR-2000-15--FR December 2000 30 pages

RR 01-01 MIRBEL I DE RIVIEgraveRES V

ldquoUML ad-hoc une deacutemarche modulable drsquoanalyserdquo Rapport de Recherche I3SRR-2001-01--FR Janvier 2001

RR 01-02 FARREacute J FORTES GALVEZ J

ldquoBounded-Connect Noncanonical Discriminating-Reverse Parsingrdquo Research Report I3SRR--2001-02--FR March 2001

RR 01-03 FORTEgraveS GALVEZ J FARREacute J

ldquoGeneralized e-Skip Discriminating-Reverse Parsing on Graph-Structured Stackrdquo Research Report I3SRR--2001-03--FR March 2001

RR 01-04 CAPOUILLEZ A CRESCENZO P LAHIRE P

ldquoOFL lrsquoHyper-Geacuteneacutericiteacute au service du Meacuteta-Programmeur Application agrave Javardquo Rapport de Recherche I3SRR--2001-04--FR March 2001 12 pages

RR 01-05 MIRBEL I DE RIVIEgraveRES V

ldquoTowards a UML Profile for Building on Top of an Existing Applicationrdquo Research Report I3SRR--2001-05--FR March 2001

RR 01-06 CRESCENZO P

ldquoOFL les relations et descriptions drsquoEiffel et de Javardquo Rapport de Recherche I3SRR--2001-06--FR Avril 2001 24 pages

RR 01-07 CAPOUILLEZ A CRESCENZO P LAHIRE P

ldquoSeparation of Concerns in OFLrdquo Research Report I3SRR--2001-07--FR Avril 2001 9 pages

RR 01-08 FRANCISCI D

ldquoData Mining et Algorithmes Eacutevolutionnairesrdquo Rapport de Recherche I3SRR--2001-08--FR Mai 2001 46 pages

RR 01-09 FARREacute J FORTEgraveS GALVEZ J

ldquoBounded-Connect Noncanocical Discriminating-Reverse Parsingrdquo Research Report I3SRR--2001-09--FR March 2001 13 pages

RR 01-10 FORTEgraveS GALVEZ J FARREacute J

ldquoGeneralized e-Skip Discriminating-Reverse Parsing on Graph-Structured Stackrdquo Research Report I3SRR--2001-10--FR March 2001 9 pages

RR 01-11 MICHEL C RUEHER M LEBBAH Y

ldquoGraphical user Interfaces with Biglookrdquo Research Report ndeg I3SRR--2001-11--FR Septembre 2001 16 pages

LABORATOIRE I3S Les Algorithmes Euclide B ndash 2000 route des Lucioles ndash BP 121

06903 Sophia Antipolis Cedex ndash Teacutel (33) 492 942 701 ndash Teacuteleacutecopie (33) 492 942 898 httpwwwi3sunicefrI3SFR Pour tout renseignement srsquoadresser agrave Micheline Hagneacutereacute Teacutel (33) 492 942 704 ndash email mhi3sunicefr

RT 01-12 SERRANO M Ed

ldquoSCHEME 2001 - Workshop Proceedings - Second Workshop on Scheme and Functional Programming September 2 2001 Florence Italy Technical Report ndeg I3SRT--2001-12--FR Septembre 2001 73 pages

RR 01-13 GALLEacuteSIO E SERRANO M

ldquoGraphical user Interfaces with Biglookrdquo Research Report ndeg I3SRR--2001-13--FR Septembre 2001 38 pages

RR 01-14 JEHAN-BESSON S BARLAUD M AUBERT G

ldquoDREAM2S Deformable Regions driven by an Eulerian Accurate Minimization Method for image and video Segmentationrdquo Rapport de Recherche ndeg I3SRR--2001-14--FR Novembre 2001 38 pages

RR 01-15 COLLET P

Fiabiliteacute des systegravemes agrave objets persistants les assertions persistent Rapport de Recherche ndeg I3SRR--2001-15--FR Janvier 2001 16 pages

RR 01-16 COLLET P ldquoOn Contract Monitoring for the Verification of Component-Based Systems Rapport de Recherche ndeg I3SRR--2001-16--FR Octobre 2001 5 pages

RR 01-17 COLLET P ldquoFunctional and Non-Functional Contracts Support for Component-Oriented Programming Rapport de Recherche ndeg I3SRR--2001-17--FR Octobre 2001 3 pages

mh
I3SRR--2001-14--FR

httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf

Document seacutecuriseacute incorporeacute

Le fichier httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf est un document seacutecuriseacute incorporeacute dans le preacutesent document Cliquez deux fois sur le bouton pour lafficher

httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf [27062002 110813]

LABORATOIRE

INFORMATIQUE SIGNAUX ET SYSTEgraveMESDE SOPHIAANTIPOLIS

UMR 6070

DREAM2S DEFORMABLE REGIONS DRIVEN BY ANEULERIAN ACCURATE M INIMIZATION METHOD FOR

IMAGE AND VIDEO SEGMENTATION

Stephanie JEHAN-BESSON Michel BARLAUD Gilles AUBERT

Projet CREATIVE

RapportderechercheI3SRRndash2001-14ndashFR

novembre 2001

LABORATOIRE I3S LesAlgorithmes EuclideB ndash 2000routedesLuciolesndash BP 121ndash06903Sophia-Antipolis Cedex Francendash Teacutel (33) 492942701ndash Teacuteleacutecopie (33) 492942898

httpwwwi3sunicefrI3SFR

REacuteSUMEacute

MOTS CLEacuteS Contours actifsbaseacutes reacutegions optimisation de domaine segmentation non superviseacutee deacutetection de visage deacuteter-minant dela matricedecovariance

ABSTRACT Originally active contours wereboundary-basedmethods They weredriven towardstheedgesof animagefromtheminimization of a criterionwith only boundary-basedtermsThemainpurposeof region-basedactive contours is to maketheactivecontour evolveusinginformationontheregionsin addition to theclassicalboundary-basedinformation

We proposeherea generalEulerian framework for region-basedactive contours namedDREAM2SWe introducea generalcriterion includingbothregion-basedandboundary-basedtermswheretheinformationontheregionsis embeddedin afunctionnameddescriptor Theoriginality of thiswork is twofold Firstly weproposeto useshapeoptimization principlesto computetheevolution equationof theactivecontour thatwill makeit evolveasfastaspossibletowardsaminimumof thecriterionSecondlywe take into account thevariationof thedescriptors during thepropagationof thecurve Indeed a descriptor maybegloballyattachedto the region andthusregion-dependentIt happens whenstatisticalfeatures of a region like for example the meanor thevariance of a region areselectedasdescriptors We show that thedependenceof thedescriptors on the region inducesadditional termsin theevolution equationof theactive contour thathave not beenpreviously computed DREAM2S gives aneasyway to takesuchadependenceinto account andto computetheresultingadditional terms

Experimental resultspoint out the importanceof the additional termsto reacha true minimum of the criterion andso toconverge on accurate results The covariancematrix determinant appears to be a very relevant tool for homogeneous colorregionssegmentationAs anexample it hasbeensuccessfullyappliedto facedetectionin realvideosequences

KEY WORDS Region-basedactivecontoursshapeoptimizationunsupervisedsegmentationfacedetection covariancematrixdeterminant

13 $ amp()+$-0123(4-5766-398( 1 lt=98ampgt8BA(0)CD ampE()gt+F)-0-amp=$8B98amp

GBHBIJLKMNPOQRJTSPJUMNPOWV4XFJUYZY[]ONPO^`_aQcbdMeJUfgXNihfcNPj^kBlnmodpqldrsodtupwvyx z|~B9iZ]nn pqodUrvFLv ke~tRo|v n|L zio UtclF9~rRt o| tuBpwldi4v vld~cmldp ldZP=tRz|U~tR v p QsfcfRJUY iexcljcent=JLh HkBlnmodpqldrsodtupwvFpoundcurren0]yenamptsv nod$brvbarv 9BiZPampUsect9lpwTumll| pqodvnncopynordf tc4v-vwLvwlaquo Bpwldi4vnot ldm4v p r=shyldrreg~Utc4v p

macrdegWplusmn5sup25sup3Zacuteimicro|sup2|para7middotcedilsup1ordm|sup1raquo~frac14dfrac12frac12currenfrac34Liquestefrac14dAgrave Aacutesup1Acirc|Atilde(Agrave5Auml|raquoLAacuteAuml|AringcedilAElig$CcedilEgraveAtildecedilAtilde(EacutePAumldAring~raquoiEcircfrac14cedilwfrac34UEumlsEacuteifrac14AEligwAtildeEcircIacuteIgrave(AtildeAacuteIcircAumlUEcircAElig5IumlETHEgraveIcirc~Atilde frac34TCcedil=AtildecedilAtildeEcirccedilsup1AcircnAtilde5raquoNtildeAacuteAumlZCcedilEgravefrac14cedil4EcircAElig=AacuteIcirc~AtildegAtildeEcircordm|Atilde5AEligEgraveAumlOgravefrac14draquosup1Igravefrac14dordm|AtildegOgraveregcedilAumldIgraveOacuteAacuteIcircAtildeIgrave(sup1raquosup1Igrave(sup1Ocircfrac14ZAacutesup1Auml|raquo(AumldOgravefrac14yAgravecedilsup1currenAacuteAtildecedilsup1Auml|raquo(Ccedilgsup1currenAacuteIcircAuml|raquo~frac12currenfrac34EacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircOtildeAacuteAtildecedilIgrave(AElig5IumlETHEgraveIcirc~Atilde(Igravefrac14sup1raquotimesOuml~AringcedilOumlPAuml|AEligwAtildeAumlOgraveEgravecedilAtilde5ordmdsup1AumldraquoEumlsEacuteifrac14AEligwAtildeEcircOslashfrac14dAgrave Aacutesup1Acirc|AtildeAgrave5Auml|raquoLAacuteAumldAringcedilAEligysup1AEligyAacuteAumliexclAacuteAumlIgravefrac14dUgravenAtilde9AacuteIcirc~Atildefrac14dAgraveAacutesup1AcircnAtilde$Agrave5AumldraquoLAacuteAuml|AringcedilgAtildeAcircnAuml|frac12AcircnAtildeampAringAEligwsup1raquo~ordmFsup1raquoOgraveuAumldcedilIgravefrac14ZAacutesup1Auml|raquoUacuteAumldraquoiexclAacuteIcirc~AtildecedilAtilde5ordm|sup1Auml|raquoAElig5iquestisup1raquoUacutefrac14dEcirc~Ecircsup1Aacutesup1AumldraquoiexclAacuteAumlNtildeAacuteIcircAtildeAgrave5frac12frac14dAEligwAEligwsup1Agravefrac14frac12WEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircsup1raquoOgraveregAumldcedilIgravefrac14Aacutesup1AumldraquoIuml

Ucirc Atilde$OumlcedilAumldOumlPAuml|AEligwAtildeyIcirc~Atilde cedilAtildeyfrac14ordm|Atilde5raquoAtildecedil4frac14dfrac12BUumlAringfrac12Atilde cedilsup1Yacutefrac14raquoUacuteOgraveregcedil4frac14Igrave(AtildeCcedilEgraveAumlcedilUgraveiexclOgraveuAumlcedilcedilAtildeordm|sup1Auml|raquoEumlEacute~frac14dAEligwAtildeEcircOtildefrac14AgraveAacutesup1AcircnAtildeyAgrave5Auml|raquoLAacuteAumldAringcedilAEligraquoifrac14Igrave(AtildeEcircIacuteTHORNampszligUumlagraveampaacuteOtildeacirc5atildePIuml Ucirc Atilde(sup1raquoLAacutewcedilAumlUEcircAringAgrave5Atildefrac14aumlordmdAtilde5raquo~Atilde cedil4frac14dfrac12EgraveAgravecedilsup1currenAacuteAtildecedilsup1Aumldraquoiquestesup1raquo~Agravefrac12Aring~Ecircsup1raquo~ordmaumlEacutePAumlAacuteIcirctimescedilAtilde5ordm|sup1AumldraquoEumlsEacuteifrac14AEligwAtildeEcircfrac14draquo~EcirctimesEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircTAacuteAtildecedilIgrave(AElig5iquestBCcedilgIcircAtildecedilAtildeAacuteIcircAtilde(sup1raquoOgraveuAumlcedilIgravefrac14Aacutesup1Auml|raquoaringAumldraquoaeligAacuteIcirc~Atilde(cedilAtilde5ordm|sup1Aumldraquo~AEligFsup1AEligNtildeAtilde5IgraveFEacutePAtildeEcircEcircAtildeEcircTsup1raquofrac14OgraveregAring~raquo~Agrave Aacutesup1AumldraquoIacuteraquo~frac14dIgrave(AtildeEcircccedilqEcircAtilde5AEligwAgravecedilsup1OumlAacuteAumlcedilegraveIumlBETHEgraveIcirc~AtildeAumlcedilsup1ordm|sup1raquoifrac14frac12sup1currenAacutefrac34aeligAumldOgrave-AacuteIcirc~sup1AEligampCcedilEgraveAumlcedilUgraveaumlsup1AEligampAacuteCcedilEgraveAumlOgraveuAuml|frac12Ecirc]IumlWeacuteWsup1currencedilAEligqAacutefrac12currenfrac34LiquestCcedil=AtildeOumlcedilAumldOumlPAuml|AEligwAtildeyAacuteAumlAringAEligwAtildeNtildeAEligwIcirc~frac14dOumlPAtilde0Auml|OumlAacutesup1Igrave(sup1Ocircfrac14ZAacutesup1Auml|raquoaumlOumlcedilsup1raquo~Agravesup1Oumlfrac12Atilde5AEligAacuteAumlAgrave5AumldIgrave(Ouml~AringAacuteAtildeampAacuteIcircAtildeNtildeAtildeAcircnAuml|frac12AringAacutesup1AumldraquoTAtilde5ecircUAring~frac14Aacutesup1Auml|raquoOtildeAumlOgraveAacuteIcirc~Atilde9frac14dAgrave Aacutesup1Acirc|AtildeAgrave5AumldraquoLAacuteAuml|AringcedilAacuteIcircifrac14ZAacute=Ccedilgsup1frac12frac12PIgravefrac14dUgravenAtildegsup1currenAacute-Atilde5AcircnAuml|frac12AcircnAtildefrac14dAEligOgraveRfrac14AEligqAacutegfrac14dAElig-OumlPAuml|AEligwAEligwsup1Eacute~frac12AtildeAacuteAumlCcedilEgravefrac14cedil4EcircAEligEgravefrac14yIgrave(sup1raquosup1IgraveNtildeAring~IgraveeumlAumlOgraveAacuteIcirc~AtildeAgravecedilsup1currenAacuteAtildecedilsup1Auml|raquoIumliatildeAtildeAgrave5Auml|raquo~Ecircfrac12currenfrac34LiquestLCcedilEgraveAtildeampAacute4frac14UgravenAtildesup1raquoLAacuteAumlfrac14Agrave5Agrave5Auml|AringraquoLAacuteAacuteIcirc~AtildeampAcircdfrac14cedilsup1frac14Aacutesup1AumldraquoAumldOgraveBAacuteIcirc~Atilde$EcircAtilde5AEligwAgravecedilsup1OumlAacuteAumlcedilAEliggEcircAringcedilsup1raquoordmAacuteIcirc~Atilde$OumlcedilAuml|Oumlifrac14ordmnfrac14ZAacutesup1AumldraquoaumlAumldOgraveAacuteIcirc~AtildeyAgrave5AringcedilAcircnAtilde|IumligraveiacuteraquoiEcircAtilde5AtildeEcirc]iquestPfrac14(EcircAtildeAEligwAgravecedilsup1OumlAacuteAumldcedilIgravefrac145frac34EacutePAtildeyordmdfrac12AumldEacuteifrac14frac12frac12currenfrac34aumlfrac14ZAacutewAacute4frac14dAgrave4Icirc~AtildeEcircAacuteAumlAacuteIcircAtildecedilAtilde5ordm|sup1AumldraquoFfrac14raquoiEcircAacuteIcircUAring~AElig5iquestPccedilscedilAtilde5ordm|sup1AumldraquoEumlEcircAtilde5OumlPAtilderaquoiEcircAtilderaquoUAacuteegraveIumlZigraveAacuteIcircifrac14Ouml~OumlPAtilde5raquoAEligCcedilgIcirc~Atilderaquo0AEligqAacute4frac14ZAacutesup1AEligqAacutesup1Agrave5frac14dfrac12LOgraveuAtildefrac14ZAacuteAringcedilAtilde5AEligBAumldOgrave~frac14gcedilAtilde5ordmdsup1Auml|raquoiquestfrac12sup1Ugrave|AtildeFOgraveuAumlcedilFAtildeicircfrac14Igrave(Ouml~frac12AtildeNtildeAacuteIcircAtilde(Igrave(Atildefrac14draquoTAumldcedilyAacuteIcirc~AtildeFAcirc|frac14Zcedilsup1Yacutefrac14raquo~Agrave5Atilde(AumlOgrave9frac14iexclcedilAtilde5ordmdsup1AumldraquoiquestBfrac14cedilAtilde(AEligwAtilde5frac12Atilde5Agrave AacuteAtildeEcircOslashfrac14dAElig0EcircAtildeAEligwAgravecedilsup1OumlAacuteAumldcedilAElig5IumlUcirc AtildeAEligwIcircAumlCcedilAacuteIcirc~frac14AacuteyAacuteIcirc~AtildeEcircAtilde5OumlPAtilde5raquoiEcircAtilde5raquo~AgraveAtilde(AumldOgraveAacuteIcirc~AtildeEcircAtilde5AEligwAgravecedilsup1OumlAacuteAumlcedilAEligNtildeAumldraquotimesAacuteIcirc~AtildecedilAtildeordm|sup1Auml|raquoOslashsup1raquoiEcircAring~Agrave5AtildeAEligNtildefrac14dEcirc~Ecircsup1Aacutesup1Aumldraquoifrac14dfrac12AacuteAtildecedilIgrave(AElig=sup1raquoAacuteIcirc~AtildeAtilde5AcircnAuml|frac12AringAacutesup1AumldraquoAtildeecircLAring~frac14Aacutesup1Auml|raquoAumldOgraveAacuteIcirc~Atildeampfrac14AgraveAacutesup1AcircnAtildeampAgrave5AumldraquoLAacuteAuml|Aringcedil=AacuteIcircifrac14AacuteEgraveIcircifrac14AcircnAtilderaquoAumldAacuteEacutePAtildeAtilde5raquoiexclOumlcedilAtilde5AcircUsup1Auml|Aring~AEligwfrac12currenfrac34Agrave5Auml|Igrave(OumlAringAacuteAtildeEcirc]IumlTHORNampszligUumlagraveampaacuteOtildeacircatildeIacuteordm|sup1AcircnAtilde5AEligFfrac14draquoaeligAtilde5frac14dAEligqfrac34aeligCcedilEgravefrac14frac34TAacuteAumlUacuteAacute4frac14dUgrave|AtildeAEligwAringAgrave Icircaeligfrac14OtildeEcircAtilde5OumlPAtilde5raquo~EcircAtilde5raquoAgrave5Atilde(sup1raquoLAacuteAumlaumlfrac14dAgrave5Agrave5AumldAring~raquoLAacutefrac14draquo~EcircAacuteAumlAgrave5AumldIgrave(Ouml~AringAacuteAtildeAacuteIcirc~AtildecedilAtilde5AEligwAring~frac12currenAacutesup1raquo~ordmfrac14dEcirc~Ecircsup1currenAacutesup1Auml|raquo~frac14dfrac12]AacuteAtildecedilIgrave(AElig5Iuml

UumlicircOumlPAtildecedilsup1Igrave(Atilde5raquoLAacute4frac14dfrac12LcedilAtilde5AEligwAringfrac12currenAacuteAElig-OumlPAumldsup1raquoLAacute-Auml|AringAacuteAacuteIcircAtildesup1Igrave(OumlPAumldcedilwAacute4frac14draquoAgrave5AtildeAumldOgravePAacuteIcircAtildegfrac14|EcircEcircsup1currenAacutesup1Auml|raquoifrac14frac12AacuteAtildecedilIgrave(AEligeAacuteAumlcedilAtilde5frac14dAgrave4Icircfrac14AacutewcedilAring~Atilde-Igrave(sup1raquosup1IgraveFAring~IgraveAumlOgraveiAacuteIcirc~Atilde-Agravecedilsup1currenAacuteAtildecedilsup1Auml|raquo(frac14raquoiEcircyAEligwAumlAacuteAumlAgraveAuml|raquoUAcircnAtildecedilordmdAtildeEgraveAuml|raquoNtildefrac14dAgrave5AgraveAringcedil4frac14AacuteAtildeEgravecedilAtildeAEligwAring~frac12currenAacuteAElig5IumldETHEgraveIcirc~AtildeEgraveAgrave5AumlZAcircdfrac14cedilsup1frac14draquoAgrave5AtildeIgravefrac14Aacutewcedilsup1currenicirc0EcircAtilde AacuteAtildecedilIgrave(sup1raquoifrac14draquoLAacutefrac14Ouml~OumlPAtildefrac14ZcedilAEligeAacuteAumlEacutePAtildefrac14Acirc|Atildecedilwfrac34$cedilAtilde5frac12Atilde5Acircdfrac14draquoLAacuteeAacuteAumlLAuml|frac12UOgraveuAumlcedil-IcircAuml|Igrave(Aumldordm|Atilde5raquoAtilde5Auml|AringAEligeAgrave5Auml|frac12AumldcedilcedilAtilde5ordmdsup1Aumldraquo~AEligAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquoIumlagrave9AEligampfrac14raquoIacuteAtildeicircfrac14Igrave(Ouml~frac12Atilde|iquestPsup1currenAacute$Icirc~frac14dAEligampEacutePAtilde5AtilderaquoIacuteAEligwAringAgrave5Agrave5Atilde5AEligwAEligqOgraveregAring~frac12frac12currenfrac34Tfrac14dOuml~Oumlfrac12sup1Atilde5EcircaumlAacuteAumlOgraveRfrac14Agrave5Atilde(EcircAtilde AacuteAtilde5AgraveAacutesup1Auml|raquoTsup1raquocedilAtildefrac14dfrac12AcircUsup1EcircAtilde5AumlAEligwAtilde5ecircUAringAtilde5raquo~AgraveAtilde5AElig5Iuml

iumlethUntildeograve0oacute sup3ocircWplusmn|otildeszligAtildeordm|sup1Auml|raquoEumlEacute~frac14dAEligwAtildeEcircaringfrac14AgraveAacutesup1AcircnAtildeiexclAgraveAuml|raquoLAacuteAuml|AringcedilAElig5iquestAEligwIcircifrac14dOumlPAtildeiexclAuml|OumlAacutesup1Igrave(sup1Ocircfrac14ZAacutesup1Auml|raquoiquestWAring~raquo~AEligwAringOumlPAtildecedilAcircUsup1AEligwAtildeEcircOslashAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoiquestUOgraveRfrac14dAgraveAtildeyEcircAtildeAacuteAtilde5Agrave Aacutesup1Aumldraquoiquest~Agrave5AumlZAcirc|frac14Zcedilsup1Yacutefrac14raquo~Agrave5Atilde$Igravefrac14ZAacutewcedilsup1currenicircEcircAtildeAacuteAtildecedilIgrave(sup1raquoifrac14raquoLAacuteIuml

Agraveoumloslashdividedugrave|ugraveUuacute 9v vwldpq4Uacute9vop r-g nncopy copyucirc x z|iB9aumlio UtclF9~rRt o| tug]pwldi v

uumlnyacute|thornLyuml13

$amp)(+-)013021+345627893lt=gt9A6CBDFEHGIKJLMONQPltRSJT2MgtI

b H QVUPJOslashbn[]O H []jhYOtildeNihZJaeligKEgrave[WFJLhYXiacutejf H [B[]fcY5Xiacute[PhUacuteQCZaringN[PJOslashNPO^UBQc^JL[YZJ[]ZOslashJUO H N H Qc[]OO^G QsObnJ H MeJ[PhQV[]QcONPf_WF[PhY` []O YZON`PJUYbacaumlNPYZYaJ H NPfd^VegfhSiSi]jeiexclNPO Jk H JUOYQVUPJhZJUYZJUNihbMMNPYaeligcent=JLJUO7KEgraveJLhYXiacute[PhlZOslashJU^ H MN H fRJUNP^Y H [B^Nm H [ H MJjYJ[SXon5hJ[]QR[]OWVcentNPYZJU^NPb H QVUPJTbn[]O H []jehYYp^q hQV[]QcONPfsfVmSeNPb H QVUPJ bn[]O H []jehdYWFJLhZJ centEgrave[]jO^NihYmVcentNPYJU^bZOslashJ H Me[W^Yoaq jecentEgraveJLh HNPO^rcOtilde[PhdOeKhZ[PcentY H e sSs fj^ G ON`PJUYtacaumlNPYZYaeligJ H NPfd^VeufhSiSi]jeycent-NPfcfR[B[]OYoa)v[]MeJUOOefhShfj[Phw[PJL[W^eJUYZQcbNPb H QVUPJbn[]O H []jehdYxa)vNPYZJUfcfRJUY J H NPfd^VeyfhSh]zSj`NihZJOacute^hQVUPJUOH [WFNih^Y H MeJ JU^[PJUY [SXOtildeNPOQZaringN[PJS^|MeJ JUP[]fcj H QR[]OJjN H Qc[]O QcYOslashbn[]ZOslashK-j H JU^XiacutehZ[]ZNaumlbnhQ H JLhQR[]O H MN H []OfVmtimesQsObLfcj^eJUYNaumlfR[WbLNPfQcOFX[PhlZ N H QR[]Otimes[]O H MeJ(centEgrave[]jO^NihYm[SX H MeJauml[Pcent~JUb HH [ YZJ[]ZOslashJUO H ^MeJt`PJmQc^eJUNOacute[SXOtildehZJ[]QR[]OWVcent-NPYJU^ NPb H QVUPJeumlbn[]O H []jehYehY H fVmKh[PK=[]YZJU^ centma)vF[]MJUOTJ H NPfd^VefhShS[]OXqNih^OefhShje]QsY H [OtildeQcO H hZ[B^jbnJ0N_[]fR[PcentNPfBQcOXiacute[PhlZaringN H QR[]O[]O H MeJIacute^QV=JLhZJUO H hZJ[]Qc[]OY H [ YJ[]ZOslashJUO H QcOaNP^^Q H QR[]O H [ H MeJIacutecent=[]jO^NihYmVcentNPYJU^QcOFX[PhlZ N H QR[]OOe H [_ZaringN`PJ H MeJNtildeNPb H QUPJNtildebn[]O H []jehJUP[]fUPJS^iexcl[WFJUPJLhePQ H QcYgO[ H9H hQVUWQcNPfH [timesbn[]ZOslashKj H J H MeJJUP[]fcj H QR[]OaringJBjN H QR[]O [SX H MeJiexclNPb H QVUPJUacutebn[]O H []jeh H MN H WQcfsfZaringN`PJQ H JUP[]fUPJ H [WFNih^Y0NyZ QcOQZtimesjFZ[SXNTbnhQ H JLhdQR[]OOslashQcObLfcj^QcO[centEgrave[ H MOslashhZJ[]QR[]OWVcent-NPYJU^NPO^centEgrave[]jO^NihYmVcentNPYJU^ H JLhlZaringY^JUbnJUO H fmSeZaringNPOm KNiKEgraveJLhY MNUPJeumlNP^^ehZJUYYJU^ H MQsYOslashKhZ[PcentfcJZ^0 hZJUWQRJW [SXH MeJUYZJrZaringJ H Me[B^Y QsY`KhZ[PKEgrave[]YJU^1QcO G JUb^ ^ G []ZOslashJ[SX H MeJUYZJxWF[PhY`WY^e[ Oe[ Hbn[]ZOslashK-j H J H MeJ H MeJL[PhZJ H QcbLNPfJkWKhZJUYZYZQc[]O[SX H MeJUPJUfR[BbLQ H mUPJUb H [PhOtilde[SX H MeJtimesNPb H QVUPJbn[]O H []jehcentj H H MeJm bdMe[[]YZJ H MeJ ^QcYKfcNPbnJZaringJUO H H MN H WQcfcf_ZaringN`PJ H MeJbnhQ H JnVhQc[]O ^JUbnhZJUNPYJa)vMN`hNicentEgrave[Ph H m J H NPf)^VefhShSvMeJUYONPj^ J H NPfd^VefhShSh]j^ qH MeJLhWF[PhY`WYKh[PK=[]YZJ H MeJIacutebn[]ZaringKj H N H QR[]O`[SX H MeJUPJUfR[BbLQ H mUPJUb H [PhOtildecentm hZJU^jbLQcOF[ H MeJWM[]fRJOacuteKh[PcentfRJZ H [ centEgrave[]jO^NihYm QcO H J[PhdNPfcYxa)MjNPO^0jQcfcfcJSeyfhShSgampNihN~V[]QR[]Y`NPO^JLhQsbMeJSefhShSh]j[Ph`centm jYQcO[ H MeJ7fRJUPJUfTYJ H ZOslashJ H Me[W^a G NSZ Y[]OJ H NPf)^Ve sSsSs Ov(MNPONPO^$JUYZJSe sSs fj^OMeJm H MeJUOjYZJ H MeJyNtildejfRJLhVAN[PhNPO[PJJBjN H QR[]OY H [ bn[]ZOslashKj H J H MJaumlJUP[]fcj H QR[]OJjN H Qc[]OO^iexcl[WFJUPJLhe H MeJOtildeQcOXiacute[PhlZaringN H QR[]O []O H MeJauml^Q=JLhJUO H hZJ[]QR[]OYe H MN H WNtildeJaumlbLNPfsfMeJLhZJn^eJUYbnhQRK H [Phlp [SX H MeJIacutebn[PhhZJUYKEgrave[]O^QcOF[aringhZJ[]QR[]OOeKZaringNmacent=Jy[]fR[PcentNPfcfVm N HH NPbdMeJU^ H [H MeJ(hJ[]QR[]OO^S5O^eJLJU^OslashQ H [WbLbLjehYXiacute[Ph0Y H N H QcY H QcbLNPf^eJUYZbnhdQRK H [PhYampYZjbdMaringNPY H MeJ_ZOslashJUNPOOeH MeJUiNihQcNPObnJ[Ph H MJMQcY H [S[PhNSZ [SX H MeJ hZJ[]QR[]O^Q5O bLNPYJ [SXUacutejOYZjK=JLhlUBQcYZJU^YJ[]ZaringJUO H N H QR[]Oe H MeJUYZJ ^eJUYZbnhdQRK H [PhYIacuteNihZJ hZJnVJUiNPfcjN H JU^JUNPbM H QZaringJ H MeJ NPb H QVUPJbn[]O H []jehJUP[]fVUPJUYiexclNPO^aY[ H MeJmU~Nihlm^jehQcO[ H MeJIacuteKhZ[PKN[]N H Qc[]O[SX H MeJtimesNPb H QVUPJbn[]O H []jeh^yhZJUWQR[]jYWF[PhY`BYIacute[]O7hZJ[]QR[]OWVcent-NPYJU^NPb H QUPJbn[]O H []jehYaelig^e[eumlOe[ HIacuteH N`PJQcO H [ NPbLbn[]jO HaumlH MQcYKEgrave[]YZYZQRcent-fRJyUiNihQcN H QR[]Oeuml[SX H MeJaring^eJUYbnhQRK H [PhY H [bn[]ZOslashK-j H J H MeJJUP[]fcj H QR[]OJjN H QR[]O[SX H MeJTNPb H QVUPJIacutebn[]O H []jeh^ JTKhZ[PKEgrave[]YJaumlMeJLhZJaumlN[PJUOeJLhNPfNtildejfRJLhQcNPOoXiacutehNSZOslashJWF[PhY`X[PhhZJ[]QR[]OWVcentNPYZJU^NPb|V

H QVUPJbn[]O H []jehY`ONSZOslashJU^ iexcl_0 Uacute_wcent G aiexclJXiacute[PhlZaringNicent-fRJpoundJ[]QR[]OYa^ehQUPJUO centm NPONtildejfRJLhQcNPO iexclbLbLjhN H JT_aQsOQZaringQVcurrenUN H Qc[]O _aJ H Me[W^X[Ph G J[]ZOslashJUO H N H QR[]Ogtj^gtMeJiexclZaringNPQcObn[]O H hQRcentj H QR[]O[SXy[]jh_WF[PhY`aQcY H [centjQcfs^ N H MJL[PhZJ H QcbLNPfQXhdNSZOslashJWNtilde[Phl`centNPYJU^`[]O

uumlnyacute|thornLyuml13

yenKbrvbarsect =4 acirc $ YZMNiK=JT[PK H QZaringQVcurrenUN H Qc[]OKhQsObLQRKfRJUY^ Q H M YZjbM`NPO`NiKKhZ[]NPbMegtWFJIacutebLNPO hZJUNP^QsfVmH N`PJ7QcO H [ NPbLbn[]jO H`H MeJpoundUiNihQcN H QR[]O [SX H MJOacute^eJUYZbnhQcK H [PhY H MN H NihJpound[]fR[PcentNPfcfmN HH NPbdMeJU^ H [ H MeJUacuteJUP[]fVUWQcO[timeshZJ[]QR[]OYgaqbLNPfsfRJU^ hZJ[]QR[]OWV4^eJLKEgraveJUO^JUO H ^eJUYZbnhQcK H [PhYj^ JOtildeYZMe[W H MN HH MeJiexclU~NihQsN H QR[]O [SX9hZJ[]QR[]OWV4^eJLKEgraveJUO^JUO H ^eJUYZbnhQcK H [PhYF^jehQcOF[ H MeJJUP[]fcj H QR[]OOtilde[SX H MeJ0NPb H QUPJFbn[]O H []jehampQcO^jbnJUY9NP^^Q H QR[]ONPf H JLhlZaringY9QsO H MeJyJUP[]fcj H QR[]OJBjN H QR[]Oeuml[SX H MeJOslashNPb H QVUPJ bn[]O H []jeh^MeJUYZJaeligNP^^Q H QR[]ONPf H JLhlZaringYOtildeMNUPJaringOe[ H centEgraveJLJUOKhJUBQR[]jYZfVm bn[]ZOslashK-j H JU^uml^

G []ZOslashJNtildeJkeNSZOslashKfcJUY[SX-jOYZjeKEgraveJLhYUWQcYJU^TYKN H QcNPfBYJ[]ZOslashJUO H N H QR[]OOePjYZQsO[ H MeJcopyUiNihQuVNPObnJ [SX H MJOslashhZJ[]QR[]OYe9KhZ[UPJ H MeJ QZOslashKEgrave[Ph H NPObnJOslash[SX H MeJ NP^^Q H QR[]ONPf H JLhlZaringYordfXiacute[PhH MeJ(NPbLbLjehdNPbmIacute[SX=YJ[]ZOslashJUO H N H QR[]OOslashhZJUYZjf H Y^MeJNP^^Q H QR[]ONPf H JLhlZ YZIacutejY H O[ H centEgraveJXiacute[PhY[P[ HH JUO QcO [Ph^eJLh H [laquo[PJ HH MeJ_XqNPY H JUY H NPb H QUPJUacutebn[]O H []jeh(JUP[]fcj H QR[]O H [WNih^Y(NZaringQsOQZtimesjFZoslash[SX H MeJaumlbnhdQ H JLhQR[]OO^not QcONPfcfVmSe H MeJbn[UiNihQcNPObnJbZ N H hQk ^eJ H JLhZaringQcONPO H NiKKEgraveJUNihY H [ cent=JNrUPJLhYmhZJUfcJU~NPO HH [B[]fOX[PhMe[]ZOslash[S[PJUOeJL[]jYbn[]fR[PhiexclhZJ[]QR[]OYYZJ[]ZOslashJUO H N H Qc[]OO^gtMQcY H [[]fQcYYZjbLbnJUYZYXqjfcfVm NiKKfcQRJU^ H [XqNPbnJIacute^eJ H JUb H Qc[]O []OhZJUNPfUBQc^JL[aringYJjJUObnJUY^MeJa^eJ H NPQcfcJU^ [UPJLhYUBQcJW []O hZJ[]QR[]OeVcentNPYJU^ NiKKhZ[]NPbMJUY QsYaringKhZ[PKEgrave[]YJU^ QcOG JUb^ eshyWMQcfRJOslash[]jeh0jfRJLhdQcNPOumlXiacutehNSZOslashJWF[PhY`uml5_0 Uacute_ cent G QcYauml^JUYZbnhQRcentEgraveJU^QcO G JUb^^MQcY|XhdNSZOslashJWNtilde[Phl` QcY H MeJUONiKKfcQRJU^ H [ H MJjOYZjeKEgraveJLhYUWQcYJU^aringYJ[]ZaringJUO H N H QR[]O[SXMe[]Zaring[S[PJUOeJL[]jYIacutehZJ[]QR[]OYIacutejYZQcO[ H MJregUiNihQcNPObnJ QsO G JUb^lt`NPO^ H MeJ bn[U~NihQsNPObnJZaringN H hdQk ^eJ H JLhZaringQcONPO H QcO G JUb^gtmacr^

degEplusmnyLMgtsup2Qsup32acutemicromiddotparaJcedilJacutemicrosup1acuteIKJordmcedilIltN paraJcedilJacutewMraquo Jfrac14ltacutefrac34frac12oLJMgtIiquest acuteAgravegtT2MgtIAacutelAcirclaquocedilFAtildeacuteNAumlfrac12R]JT13Aringgtacutesup1AEligMgtIKJMgtPltLAtildeJUbnJUO H fVmSeZaringNPOmNPj H Me[PhdYtimesMNUPJKhZ[PKEgrave[]YJU^NwWNm[SXNP^^QcOF[hZJ[]QR[]OWVcent-NPYJU^H JLhlZ YQcO H MJTJUP[]fcj H Qc[]O JjN H QR[]Ow[P[UPJLhOQcOF[ NPb H QVUPJtimesbn[]O H []jehdY Xiacute[PhiexclYJ[]ZaringJUOWVH N H QR[]O QsYZYZjeJUY^QMeJ KhZ[PcentfcJZ Y H N H JZaringJUO H QsYhY H KhZJUYJUO H JU^NPO^ H MeJUO H MeJY H N H JnV[SXV H MeJnV4Nih H QcY^J H NPQcfRJU^O^ ^f^bCcedil_EgraveKEacuteltEcircgtEumlIgraveFIacuteIumlIcircETHOgraveNtildeFETHIgraveFIacute5IgraveFOacuteETHiexclJLhZJSeOcircWFJa^eJUYZbnhdQRcentEgraveJ H MJ JjN H Qc[]OYaringNP^^ehJUYZYZQcO[ H MeJ`QcYZYZjeJ[SX H MeJYJ[]ZaringJUOWVH N H QR[]O[SX NPOQCZaringN[PJxOtilde QsO H WNtilde[ hZJ[]Qc[]OY^iexclgJ H jYeuml^eJOeJrOumlcopytimesOslash H MeJhJ[]QR[]Obn[]O H NPQcOQcOF[ H MeJ[Pcent~5JUb H Y H [YZJ[]ZOslashJUO H NPO^ OumluUgraveUcircUacuteUuml H MeJeumlcentNPbY`[PhZ[]jO^ hJ[]QR[]OO^MJUQRhFbn[]ZregZOslash[]O centEgrave[]jO^NihlmaringQcY(Oe[ H JU^YacuteOcirc^F9J H jY(bn[]OYZQc^JLhNPOaNPb H QVUPJaumlbn[]O H []jhYacuteadTHORN]szligYagravejaacuteacirca2atildeadTHORN]szligYagravejszligaumlOadTHORNOgraveszligYagravejje]WMeJLhZJuTHORNuZaringNmTcentEgraveJ H MeJ(NihbNtildefcJUO[ H Mtimes[SX H MeJbn[]O H []jhNPO^umlagraveQsYOtildeNPOJUP[]fcj H QR[]OeumlK-NihNSZOslashJ H JLh^shyMeJOslashNPb H QVUPJ bn[]O H []jehIacuteNiKKhZ[]NPbMpoundZ N`PJUYYacuteadTHORN]szligYagravejJUP[]fVUPJ H MehZ[]j[]M H MeJ|Xiacute[]fcfR[WQcO[K-Nih H QcNPf^Q=JLhJUO H QcNPf]JjN H Qc[]Ooa5copyjaringaelig YacuteadTHORNOgraveszligYagravejaelig agrave aacuteegraveccedilyeacuteecircaacuteegraveeuml WQ H MigraveYacuteaagraveregaacute s j|aacuteegraveYacuteshyiacute afjWMJLhZJfrac34YacuteltiacuteaQcY NPO QsOQ H QcNPfbLjhYUPJ ^JOeJU^centm H MeJeumljYJLhNPO^egraveeacute H MeJ QsOOgraveWNih^Oe[PhZaringNPfUPJUb H [PhOtilde[SX|YacuteadTHORN]szligYagravej^MeJUPJUfR[WbLQ H mfrac34ccedil QcY^eJLhQUPJU^wXiacutehZ[]Z NZaringQsOQZaringQVcurrenUQsO[

uumlnyacute|thornLyuml13 2

$amp)(+-)013021+345627893lt=gt9A6CBbnhQ H JLhQR[]O NPO^ QsY bdMe[]YJUO Y[ H MN H H MeJ YZ[]fcj H QR[]OicircYacuteaUcirciumlVszligYagravej bn[]OUPJLhY[PJUY H [ H MeJ[Pcent~JUb H centEgrave[]jO^NihYmSeYacuteaUcirciumlethjeNPY_agraveregntildeoacuteograveicirc^5ObLfcNPYYZQcbLNPfcentEgrave[]jO^NihYmVcent-NPYJU^ZOslashJ H Me[W^Ya)v(NPYJUfcfRJUY(J H NPfd^VeshyfhSh]zg_`NPfcfcNP^QJ H NPfd^VelaquofhShSmacr]je H MeJsup1UPJUfc[BbLQ H m XqjOb H QR[]OHccedil QsY`^eJLhdQVUPJU^XiacutehZ[]ZCNPOJUOeJLhY[Smacircocirc^eJLKEgraveJUO^QcO[T[]O H MeJOtildecentEgrave[]jO^NihlmYacuteOcircaring

ocircOgraveotilde UgraveUacute OslashoumlYdivideloslashugrave aYacuteQj|aacute uacuteucircyacuteuumlgtthorn otilde)yuml THORN a jWMJLhZJ_uuml thorn otilde)yuml QcYNtildeNyXqjOb H Qc[]O ^eJUYZbnhdQRcentQcO[ H MeJiexclcentEgrave[]jO^NihYmtimes[SX H MeJiexcl[Pcent~JUb H ^vNPYZJUfcfRJUYJ H NPf_a)vNPYJUfsfRJUYaumlJ H NPfd^VefhSh]zSjIacutebM[[]YJ H MeJregXqjOb H Qc[]Obuuml thorn otilde)yuml aacuteKa ordmOtilde jyWMeJLhZJtaring s szliggograve8ntilde Otilde 13 QcYiexclN Y H hdQcb H fVm ^eJUbnhZJUNPYZQsO[XqjOb H Qc[]OaY[ H MN H a]juntilde s NPYgntildeoacuteograveicirc^SMeJFbn[]ZOslashKj H N H Qc[]OIacute[SX H MeJUPJUfc[BbLQ H mccedilicircXiacutehZ[]Z H MJFbnhQ H JLhQR[]Oa j9QsYOe[WWFJUfcfO`WOe[WiexclOsup1a)vNPYJUfsfRJUYJ H NPfd^VeltfhSh]zSjiexclNPO^`fRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[OslashJUP[]fcj H QR[]OJBjN H QR[]OOaring aelig Yacuteaelig agrave aacuteFuuml thorn otilde)yuml uuml thorn otilde)yuml eacute13eacute ad]jWMJLhZJ QcY H MeJaumlbLjehYUiN H jehZJOtilde[SXYacuteaagravej^iexcl[WFJUPJLhecent=[ H MaringhZJ[]QR[]OYOcircOumlcopytimesOslashtimesNPO^Ouml UgraveUcircUacuteUuml ZaringNmtimesMNUPJiexcl^QV=JLhZJUO H KhZ[PKEgraveJLh H QRJUYamp[SXH Jk H jehZJSeiMe[]ZOslash[S[PJUOeJUQ H mtimes[PhZaring[ H QR[]O H MN H bLNPOOe[ H cent=JQcObLfsj^eJU^aumlQcO H MeJXiacutejOb H QR[]Ouuml thorn otilde)yuml ^ G [ H MeJoZaringNPQcOOacuteKjehZKEgrave[]YJaring[SX(hJ[]QR[]OWVcentNPYJU^7NiKKh[]NPbMeJUYaeligQcY H [ QcO H hZ[W^jbnJYZjbM Nx[]fR[PcentNPfUacuteQcOXiacute[PhlZaringN H QR[]O QcO H MeJ UPJUfR[WbLQ H m XiacutejOb H QR[]Oicircccedil QcO NP^^Q H QR[]O H [H MeJeumlfR[WbLNPfiexclQsOX[PhZaringN H QR[]OKhZ[UWQc^eJU^ centm cent=[]jO^NihYmVcentNPYJU^ H JLhlZaringY^copyMeJZaringNPQcOBjeJUY H QR[]OeiQsOIacute[Phd^eJLh H [~jY H QVX2m H MeJQcO H hZ[W^jb H QR[]OIacute[SX H MJUYJ(hZJ[]QR[]O H JLhlZ Ye]QcY H [^eJLhdQVUPJ H MeJuUPJUfR[WbLQ H mlaquoXqjOb H QR[]OlaquoXiacutehZ[]ZNPOOslashJUOeJLhl[SmS^Ograve9[IacuteYJ H Nordf[PJUOeJLhNPfFXhNSZaringJWNtilde[PhY`NPO^ H [Oslashbn[]ZOslashKNihZJ H MeJUacute^QEgraveJLhZJUO H NiKKhZ[]NPbMeJUYFKh[PK=[]YZJU^ QcO H MeJUacutefcQ H JLhN H jhZJSeWFJOe[W QcO H hZ[W^jbnJ Nw[PJUOeJLhNPfNtildebnhQ H JLhQR[]ObXh[]ZigraveWMQsbM H MeJUPJUfR[WbLQ H mpoundZaringN[]OQ H j^eJZaringNmcent=JOtilde^eJLhdQVUPJU^Oaring

ocircOcircadOumlutimes OslashgtszliglOuml UgraveUcircUacuteUuml szligYYacuteQjbaacute uumlgtthorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszliglOuml UgraveUcircUacuteUuml j atilde auml $ uumlgtthorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashFj atilde aumlamp uacuteucirc uumlgtthorn otilde)yuml a2atildeltszligaumlj THORN a2jWMJLhZJyuuml thorn UgraveUcircUacuteUuml yuml QcYONSZaringJU^ H MeJwn^JUYZbnhQRK H [PhpOslash[SX H MeJaumlcentNPbl`[PhZ[]jO^ hZJ[]QR[]Oegtuuml thorn timesOslash yumlH MeJsup1n^eJUYZbnhQRK H [Phlp[SX H MeJaring[Pcent~JUb H hZJ[]Qc[]ONPO^buuml thorn otilde)yuml H MeJsup1n^eJUYZbnhQRK H [Phlp [SX H MeJbn[]O H []jeh^MJOslashhZJ[]QR[]O^eJUYZbnhdQRK H [PhYordfZaringNm`centEgraveJlaquo[]fR[PcentNPfsfVm`N HH NPbdMeJU^ H [ H MJUQRhOtildehZJnVYKEgraveJUb H QVUPJOslashhJ[]QR[]OYeOumlcopytimesOslasha[PhOuml UgraveUcircUacuteUuml e9NPO^Y[^eJLKEgraveJUO^euml[]O H MeJZ aqQVXFY[e H MeJmNihZJbLNPfcfcJU^pihJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhYYpOgravej^ H MNiKK=JUOYshyWMJUOtimesY H N H QcY H QcbLNPfXiacuteJUN~VH jehJUYg[SXNhJ[]QR[]OTfcQ`PJSeXiacute[Ph9JkeNSZOslashKfRJSe H MeJZOslashJUNPOIacute[Ph H MJ|UiNihQcNPObnJSe~NihZJNtildeYJUfcJUb H JU^NPY(hJ[]QR[]O^eJUYZbnhdQRK H [PhY^MeJ`K-jehZKEgrave[]YJ [SXIacuteNPfcfhZJ[]QR[]OeVcentNPYJU^ NPb H QVUPJOacutebn[]O H []jehYwZOslashJ H Me[W^YQcY H MeJUOH [poundZaringN`PJ H MeJaNPb H QVUPJabn[]O H []jeh JUP[]fVUPJ H [WNih^Y NeumlKNih H Q H Qc[]O[SX H MeJ`QZaringN[PJSeadOumluUgraveUcircUacuteUumlszliglOuml timesOslash szligYYacuteQje H MN H ZaringQcOQZ QVcurrenLJUY H MeJTbnhQ H JLhdQR[]Opounda2j^

uumlnyacute|thornLyuml13 (

yenKbrvbarsect =4 acirc $ macr ^ ^)+ltIgraveFEgrave-+13IgraveigraveEacute10Igrave22IcircETH313Oacute4 EgraveOIgrave54EacuteshyOacute76EcircgtNtildeltIcircIgrave8 Iacute_IgraveETH39ltEacute8QIcircshyIcirclt2Oacute4Ntilde=KETH3gt+ltIgrave=EacuteshyOacuteshyETHEacute1EgraveIcirc MQcfRJiexclNPONPfVmWYZQcO[aumlhJ[]QR[]OWVcentNPYJU^ NPb H QVUPJUacutebn[]O H []jhYNiKKhZ[]NPbdMeJUYeWNtildeJ5ZaringNm bn[]OWVYZQs^eJLh H MehZJLJyZaringNPQsO QZOslashKEgrave[Ph H NPO H K=[]QsO H Yaring MN H NihJ H MeJT^QV=JLhZJUO H ^eJUYZbnhdQRK H [PhY(jYZJU^BA iexcl[WQcY^eJLhdQVUPJU^ H MeJaumlJUP[]fcj H QR[]O JBjN H QR[]OXiacutehZ[]Z H MeJaumlbnhdQ H JLhQR[]OCA iexcl[WQcYQZaringKfRJZOslashJUO H JU^ H MeJaumlNPb H QVUPJtimesbn[]O H []jehANtildeQR[]OeJLJLhcopyWF[PhY`BY(MNUPJaumlcentEgraveJLJUO KhZ[PKEgrave[]YJU^ centma)vF[]MeJUOJ H NPfd^VefhShSgt[]OXqNih^OefhShj^5ONPOJUNihdfVmpoundWF[PhY`gte|vF[]MJUOJ H NPfd^ua)vF[]MeJUO7J H NPfd^VeufhShS]jIacuteKhZJUYZJUO H NYZjhYXiacuteNPbnJ$hJUbn[]OY H hjb H Qc[]OgZOslashJ H Me[W^TjYQcO[hZJ[]QR[]OWVcent-NPYJU^aumlNPb H QVUPJFbn[]O H []jehdY^MJmbn[]ZOslashK-j H J H MeJUPJUfR[WbLQ H mpoundUPJUb H [Phaelig[SXNPO7NPb H QVUPJ bn[]O H []jhXiacutehZ[]Z H MeJZaringQsOQZaringQVcurrenUN~VH QR[]O[SXampNOslashbnhQ H JLhdQR[]OQcObLfcj^QcO[aumlhZJ[]Qc[]OWVcentNPYJU^ H JLhZaringY^ Oe[ H MeJLh(KQR[]OJLJLhuWNtilde[PhY`MNPYaumlcent=JLJUOK=JLhlX[PhlZaringJU^QcO a[]OXqNih^OeOcircfhShj^iexclJ NPYZYJUYZYZJUY H MN HTH MeJUPJUfR[WbLQ H mXqjOb H QR[]O YZMe[]jfc^aringcent=JKhZ[PKEgrave[Ph H QR[]ONPf H [ H MeJUacute^QEgraveJLhZJUObnJ[SXgY H N H QcY H QcbLNPfXJUN H jehJUYaringccedilaacute uuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml eOgraveWMJLhZJ_uuml thorn timesOslash yuml QsY0NaumlY H N H QsY H QcbLNPfKZOslash[B^JUfe[SX H MeJ[Pcent~JUb H hJ[]QR[]ONPO^tuuml thorn UgraveUcircUacuteUuml yuml N Y H N H QcY H QcbLNPfshyZOslash[B^JUfEgrave[SX H MJaumlcentNPbY`[PhZ[]jO^ hZJ[]QR[]OO^

G []ZOslashJaumlNiKKhZ[]NPbdMeJUY(Kh[PK=[]YZJ H [ bn[]ZOslashKj H J H MeJOtildeJUP[]fsj H QR[]OJBjN H QR[]O [SX H MeJNPb H QVUPJtimesbn[]O H []jhUacutejYZQcO[ H MeJ hZJLJUOWVAiexclQRJZaringNPOO H MeJL[PhZJZ NPO^wNtildejfRJLhVAN[PhNPO[PJJBjN H QR[]OY^OEgraveMBjeumlNPO^frac340jQcfcfcJoa)EgraveMBjNPO^frac340jQcfcfcJSeltfhShS]jKhJUYJUO H NY H N H QcY H QcbLNPfXiacutehNSZOslashJWF[PhY`poundXiacute[PhOslashQZaringN[PJYJ[]ZOslashJUO H N H QR[]OjYZQsO[aNPONPfV[P[PhQ H MZbLNPfsfRJU^n5hJ[]QR[]Obn[]ZOslashKEgraveJ H Q H Qc[]OFp^MeJm^eJLhQVUPJ H MeJeumlNPb H QVUPJbn[]O H []jehJUP[]fcj H QR[]O JBjN H QR[]O centmZaringQsOQZaringQVcurrenUQsO[aringNo[PJUOeJLhNPfcQVcurrenLJU^XNmPJUYDi_wiexcl bnhQ H JLhdQR[]O`QsOYKQRhJU^centm H MeJaring_`jFZaeligVXiacute[Ph^OacuteNPO^ G MNPMJUOeJLhY[Smicircaw_ajFZX[Ph^7NPO^ G MNPMOefhSiSh]j^OcircMeJmKhZ[PKEgrave[]YJ H MeJXiacute[]fcfR[WQcO[aelig^eJUYZbnhQcK H [PhYcopyXiacute[Ph H MeJaumlYJ[]ZaringJUO H N H QR[]O`[SXampY H QcfcfQZ N[PJUYaringEFG FH uuml thorn UgraveUcircUacuteUuml yuml aacute JILK NMregaOtildeKa2atildeshyszligaumlFjPORQ UgraveUcircUacuteUuml juuml thorn timesOslash yuml aacute JILK NMregaOtildeKa2atildeshyszligaumlFjPORQtimesOslashjuuml thorn otilde)yuml aacuteTS admacr]jWMJLhZJUMrega)j9QcY9NiexclKhZ[Pcent-NicentQcfcQ H m^JUOYZQ H m5XqjOb H Qc[]OOeQshytimesNihZJ H MJNtildeKNihdNSZOslashJ H JLhY[SX H MeJ^QsY H hQRcentj H QR[]OX[Ph H MeJaelighZJ[]Qc[]OBVNPO^CSQcYUacuteN KEgrave[]YZQ H QUPJIacutebn[]OY H NPO H ^ not [PhaumlQcfsfcjY H hN~VH QR[]OYe H MeJNPj H Me[PhdYybn[]OYZQc^JLh NPjYZYZQsNPOOslash^QcY H hQccentj H QR[]OYbMNihdNPb H JLhQVcurrenLJU^ centm H WF[KNihdNSZOslashJ H JLhYe H MeJZaringJUNPOIacuteNPO^ H MeJ|UiNihQcNPObnJS^ q ObnJ H MeJWQtimeskWJU^Oe H MeJ0JUP[]fcj H QR[]OJBjN H QR[]O[SXNPONPb H QVUPJ bn[]O H []jhaeligQsYIacutebn[]ZOslashK-j H JU^NPO^^QchZJUb H fVm^eJLhQUPJU^poundXiacutehZ[]ZH MeJbnhdQ H JLhQR[]OO^SMJbLfcNPYZYZQcbLNPfe^JLhQVUiN H QVUPJ([SX H MJ(cent=[]jO^NihYmVcentNPYJU^ H JLhlZ fRJUNP^YH [ H MeJtNtildejbLfcQc^QcNPOpound[PJL[]ZOslashJ H hdQcbMeJUN HYX [Wg^OcircMeJ ^eJLhdQVU~N H QUPJ [SXiexclhZJ[]QR[]OWVcent-NPYJU^H JLhlZ Y QcY H MJUOKEgraveJLhYXiacute[PhlZOslashJU^jYQcO[ H MeJ hZJLJUOWVAQcJZaringNPOO H MeJL[PhJZ NPO^ H MeJNtildejfRJLhVAN[PhNPO[PJaJBjN H QR[]OY^5O^eJLJU^e H MeJeumlbn[]ZOslashKj H N H Qc[]O [SX H MeJaJUP[]fcj H QR[]OJBjN H QR[]OQsYK=JLhlX[PhlZaringJU^ QcO H MehZJLJyZ NPQcO Y H JLKYaringf^Q9hNPOYX[PhZaringN H QR[]Oeuml[SX^e[]ZaringNPQcOQcO H J[PhNPfcYTQcO H [ centEgrave[]jO^NihYmaQcO H J[PhNPfcYTjYZQcO[

H MeJ hZJLJUOeVAQRJZaringNPOO H MeJL[PhZJZ^

uumlnyacute|thornLyuml13

$amp)(+-)013021+345627893lt=gt9A6CB ^vF[]ZOslashKj H N H Qc[]O [SX H MJy0jfcJLhVA9N[PhNPOF[PJOtildeJjN H Qc[]OY^ltO H hZ[W^jb H QR[]O[SXiexclNeuml^mWONSZaringQcbLNPfFYZbdMeJZOslashJ QcO H MeJ0jfRJLhZVA9N[PhNPO[PJ JBjN~V

H QR[]OYQcO [Ph^eJLh H [aeligbn[]ZaringKj H J H MeJ5UPJUfR[BbLQ H mregUPJUb H [Ph[SX H MeJOtildeNPb H QVUPJOtildebn[]O H []jh^MJ UPJUfR[WbLQ H mXiacutejOb H QR[]OoccedilQsY H MJUO bn[]ZaringKj H JU^NPO^Q H fcJUNP^Y H [ H MJ5Xiacute[]fcfR[WQcO[JUP[]fcj H QR[]OJjN H QR[]OOaring aelig Yacuteaelig agrave aacuteacircaduuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml S jeacute ad]jWMJLhZJ QsY H MeJ bLjehlU~N H jehJaring[SXuYacuteaagravej^5O[Ph^eJLh H [aQZOslashK-fRJZOslashJUO HOtildeH MQcYordf|iexcl eNN[PhNPO[]QcNPOXiacute[PhlZtimesjfcN H QR[]O QsY(jYJU^O^JUbnJUO H fmSeampNihN[]Qc[]YNPO^frac34JLhQcbdMeJaNihdN[]QR[]YOtildeNPO^iexclJLhdQcbMeJSefhShSh]jegMNUPJKh[PK=[]YZJU^ NPOJk H JUOYZQc[]O[SX H MeJordfWF[PhY` [SXOcircEgraveMBjNPO^o0jQcfcfcJcentm QZOslashKhZ[UWQcO[ H MeJ^eJUYbnhQRK H [Phaelig[SX H MJbn[]O H []jeh QcO7[Ph^eJLh H [QcObn[PhK=[PhdN H J H MJQCZaringN[PJ[PhNP^QRJUO HNPYiexclQcO[PJL[W^eJUYZQcbIacuteNPb H QVUPJtimesbn[]O H []jehY^gtMeJTJUP[]fcj H QR[]OaJjN H Qc[]OaQcYiexclQZOslashKfRJZaringJUO H JU^jYQcO[ H MeJ(fRJUPJUfBYJ H ZOslashJ H Me[W^aeligQcO H hZ[B^jbnJU^aumlcentm q YZMJLhNPO^ G J H MQcNPOoa q YZMeJLh$NPO^G J H MQcNPOOeltfhSiSi_aNPfcfsNP^Q9J H NPfd^VefhShSmacr G J H MQcNPOOeltfhShS]j^ UPJLhYm QcO H JLhJUY H QcO[KNih H [SX H MQsYyWF[PhY`Oacutebn[]ObnJLhdOY H MeJ QsO H hZ[W^jb H Qc[]O[SXY[]ZOslashJ^eJUYZbnhdQRK H [PhYlaquouuml thorn timesOslash yumlNPO^uuml thorn UgraveUcircUacuteUuml yuml X[PhNiKKfcQsbLN H QR[]OYfcQV`PJ H Jk H jehZJFYJ[]ZOslashJUO H N H QR[]OtimesNPO^gZOslash[UBQcOF[[Pcent~JUb H Y^eJ H JUb H Qc[]OO^

G []ZOslashJT[ H MeJLhUacuteNiKKh[]NPbMeJUYlaquoa)vMN`BhNicentEgrave[Ph H mJ H NPfd^VeltfhShSvMeJUYONPj^ J H NPfd^VefhShSh]j9KhZ[PKEgrave[]YJ H [OtildebMe[B[]YJ(N H JUNPbdMOslashY H JLK H MeJ^QcYKfsNPbnJZOslashJUO H [SX H MeJNPb H QVUPJ(bn[]OWVH []jeh H MN H ZaringN`PJUY H MeJybnhQ H JLhQc[]OOtilde^eJUbnhZJUNPYJS^SvMN`BhNicentEgrave[Ph H miexclJ H NPfd^a)vMN`hNicentEgrave[Ph H mJ H NPfd^VecopyfhShS]jtimesQcO H h[B^jbnJ N`hZJ[]QR[]OWVcentNPYZJU^7NiKKhZ[]NPbMxXiacute[Ph H MeJ YZJ[]ZOslashJUO H N H Qc[]O[SXQZOslashJU^QcbLNPfQZ N[PJUY^ iexclYQcOeKj H [SX H MJUQRhNPfV[P[PhQ H MZe H MeJm bn[]OYQc^eJLh(centEgrave[ H M H MeJNPb H jNPf9QZaringN[PJgOtilde NPO^ H MeJOtildehZJ[]QR[]OWV4bLfsNPYZYZQVJU^ QCZaringN[PJgOtildeoslash^FMeJOtildebLfcNPYZYZQVJU^ QZaringN[PJOtilde oslash QcYiexclbn[]ZOslashKj H JU^`centmwZaringNkeQZaringQVcurrenUQcOF[ H MeJTKEgrave[]Y H JLhQc[Ph^QsY H hQRcentj H QR[]O [SX H MeJThJ[]QR[]OfcNicentEgraveJUfcY[]QUPJUO H MeJQcO H JUOYZQ H maeligQZaringN[PJS^MeJUQRh0hZJ[]QR[]O H JLhlZ JUOXiacute[PhbnJUY H MJcentEgrave[]jO^WVNihYm H [JUObLfc[]YJaringNYZQcOF[]fRJaelighZJ[]QR[]OQcOumlOtildeoslash^MeJaring^JUYZbnhQRK H [PhdYOtildeNihZJ H MeJXiacute[]fcfR[WQcO[WQ H M H MeJauml^QEgraveJLhZJUObnJ H MN HH MeJmWFNPO HH [regZaringNkeQZaringQcurrenLJ H MJTbnhQ H JLhQc[]OocircaringEFG FH uuml thorn UgraveUacuteUuml yuml aacute[Z] Otilde oslash a2atildeltszligaumljuuml thorn times Oslash yuml aacute suuml thorn otilde)yuml aacute[Z cent Otilde_^Ogravea2atildeshyszligaumlFj a)zSjWMJLhZJ]Z NPO^`Z cent NihZJ H WNtilde[7KEgrave[]YZQ H QVUPJbn[]OY H NPO H YNPO^ Otilde_^aQcY H MeJfrac34[PhNP^QRJUO HQZ N[PJS^ KhQc[PhYMNiKEgraveJ H JLhZDQcY(NPfcY[OslashNP^^eJU^ H [ H MJaumlbnhQ H JLhQR[]OeWiexclMQcbMbLNPO centEgraveJQcO H JLhZJUY H QsO[gXiacute[PhZOslashJU^QcbLNPf-QCZaringN[]QcO[gWiexclMeJLhZJ H MJiexclON H jehJ[SX H MeJYZMNiKEgraveJiexcl^[JUYFOe[ HbdMNPO[PJNaumlfc[ H Xh[]Z2QcO^QUBQc^jNPf H [TQsO^QVUWQc^jNPf)^MeJUOeiNPYNtildeQcOwa)EgraveMBjaringNPO^ordm0jQcfcfRJSefhShS]je H MeJWMe[]fRJaumlKhZ[PcentfRJZ QsY(hZJU^jbnJU^ H [ bn[]ZaringKj H QcO[ cent=[]jO^NihYm QcO H J[PhdNPfcYH MNPOF`BY H [ H MeJ hZJLJUOWVAQcJZaringNPOO H MeJL[PhZJZte(hN H MeJLh H MNPO centEgrave[ H M centEgrave[]jO^NihYmNPO^ ^[]ZaringNPQcO QcO H J[PhNPfcY^yacuteMeJQZOslashKfRJZaringJUO H N H QR[]O [SX H MeJNPb H QVUPJ7bn[]O H []jhaQcOa)vMN`hNicentEgrave[Ph H mJ H NPfd^Ve fhShS]jaringQcYaring^e[]OeJacentmjYZQcOF[N not []jehQcJLharingKNihNSZOslashJ H JLhdQVcurrenUN~VH QR[]O^yacuteMeJJkWKhZJUYZYZQc[]O [SX H MeJumlUPJUfR[WbLQ H mAumlUPJUb H [Ph [SX H MeJOacuteNPb H QVUPJ7bn[]O H []jeh QcY

uumlnyacute|thornLyuml13 a

yenKbrvbarsect =4 acirc $ zOe[ H bn[]ZOslashKj H JU^OeNtildecentj HOslashH MeJ bnhQ H JLhQc[]OQcYaringQcO H hZ[W^jbnJU^NPO^ OBjFZOslashJLhQcbLNPfsfVmOacuteJUiNPfuVjN H JU^ QsO [Ph^eJLh H [ ZaringNkeQZaringQVcurrenLJQ H ^ JbLNPO Oe[ H J H MN HH MJeumlNPj H Me[PhYMNUPJKh[PK=[]YZJU^ NlaquoUPJLhYm QcO H JLhZJUY H QcO[aeligJk H JUOYZQR[]O [SX H MQcYWNtilde[Phl` jYQcO[ H MJ5[]NSZaringJ H MeJnV[PhYma)vMN`BhNicentEgrave[Ph H m NPO^jObLNPOOeOfhShSh]j^J[]Qc[]O NPO^ cent=[]jO^NihYmOslashbnhQ H JLhdQR[]OYNihZJYJLKNihdN H JU^OePcentj H JUNPbMaringbnhQ H JLhQR[]Otimesbn[]O H NPQcOY$NPOtimesQsO H JLhNPb H Qc[]OlaquoWQ H M H MeJ[ H MeJLh^ Y H MJ_[]NSZOslashJKhZ[S[PhJUYZYJUYeBcentEgrave[ H MZOslash[W^jfcJUYyQZOslashKh[UPJ H MeJUQRh0KEgrave[]YZQ H QR[]OY H MhZ[]j[]MZtimesj H jNPfQcOFX[PhlZ N H QR[]O YZMNihQsO[^

Oe[ H MeJLhIacuteYZQZaringQcfsNihUacuteNiKKhZ[]NPbMMNPYaumlcentEgraveJLJUOQcO H hZ[W^jbnJU^eumlcentmbvMeJUYZONPj^eumlJ H NPfd^a)vMJUYZONPj^ J H NPfd^VefhShSh]j^FMeJUQchNtilde^eJUYZbnhdQRK H [PhYFNihZJhZJnVJU~NPfsjN H JU^ JUNPbM H QZOslashJUacuteNKEgrave[]QcO H [SX H MJNPb H QVUPJbn[]O H []jehFJUP[]fVUPJUY0YZQsObnJ H MeJUQRh0^JUYZbnhQRK H [PhdY$NihZJY H N H QcY H QcbLNPfXiacuteJUN H jehZJUYOtilde[SX H MeJ QZaringN[PJordm[]fR[PcentNPfsfVm`N HH NPbdMeJU^ H [ H MeJOslashJUP[]fVUWQcO[ hZJ[]Qc[]OY^shyMJmbdMe[[]YZJ H MeJ`hNPO^e[]Z ^QcYKfsNPbnJZOslashJUO H [SXaumlNOacutebn[]OYZQs^eJLhZJU^ KEgrave[]QcO H [SX H MeJ NPb H QVUPJbn[]O H []jehOslashY[ H MN HIacuteH MJ bnhQ H JLhQR[]O7^eJUbnhZJUNPYJUY^$ _X H JLhaeligJUNPbdM ^QcYKfsNPbnJZOslashJUO H [SXNKEgrave[]QcO H [SX H MeJIacuteNPb H QVUPJIacutebn[]O H []jehe H MJT^eJUYZbnhQcK H [PhY(NihZJOtildehZJnV4bn[]ZaringKj H JU^O^

fcN H JLh NiKKhZ[]NPbdM MNPYaringcentEgraveJLJUOQcO H hZ[W^jbnJU^ centm G NSZaringY[]O J H NPfd^_a G NSZ Y[]OJ H NPfd^Ve sSsSs jyacuteXiacute[PhOtildebLfcNPYZYZQbLN H QR[]OaNPO^acentmvMNPO NPO^frac34$JUYJa)vMNPOeumlNPO^frac34$JUYJSesSs fjX[PhaYZJ[]ZOslashJUO H N H Qc[]O [SXaeligY H QcfcfOtildeQZ N[PJUY^yacuteMeJm KhZ[PKEgrave[]YJ H [JZIacutecentEgraveJU^ H MeJbnhQ H JLhQR[]O ^QRhZJUb H fVm`QcO H MJaeligfcJUPJUf$YJ H X[PhlZtimesjfcN H Qc[]OO^Ov(MNPOeumlNPO^$JUYJOslashKhZ[PKEgrave[]YJH MeJordfXiacute[]fcfR[WQcO[Oslash^eJUYbnhQRK H [PhYaringEFG FH uuml thorn UgraveUcircUacuteUuml yuml aacutecb7d Otilde e f centUhguuml thorn timesOslash yuml aacutecb cent Otilde e cent centuuml thorn otilde)yuml aacuteiS adi]jWQ H M e H MeJ NUPJLhN[PJ[SXgOtildeQcOicircOuml timesOslash e e cent H MJ`NUPJLhdN[PJ[SXgOtilde7QsO OumluUgraveUcircUacuteUuml^MeJUYJH WNtilde[ UiNPfcjeJUY NihZJhJnVJUY H QZaringN H JU^ ^jehQcO[ H MeJKhZ[PK-N[]N H QR[]O [SX H MeJbLjhYUPJNPYH MeJaelighZJ[]Qc[]OYJUP[]fVUPJS^shyMeJtimesKNihNSZaringJ H JLhYjb e1b cent egeumlNPO^kSNihJaringY[]ZOslashJaeligKEgrave[]YZQ H QVUPJbn[]OY H NPO H Y^iexclJLhZJ H MJ fRJUPJUfFYJ H ZOslashJ H Me[W^QsYIacute^QchZJUb H fVmjYJU^OacutecentmhJLKhZJUYJUO H QcO[H MeJtimesbLjehYUPJlaquoYacuteaagravejNPY H MeJycurrenLJLhZ[fRJUPJUfampYJ H [SXyNQRKYZbdMQ H currenTbn[]O H QcOBje[]jY_XiacutejOb H QR[]Ol a2atildeshyszligaumlKszligYagravej^]MeJfRJUPJUfWYJ H XiacutejOb H QR[]O l QcYQsO H hZ[W^jbnJU^timesQcO H MeJbnhQ H JLhQc[]OUWQcN H MeJiexclJUNUWQcYZQc^JyacuteXiacutejOb H QR[]Onmra l j^MeJbnhQ H JLhQR[]O QcY H MeJUOoZaringQcOQZaringQVcurrenLJU^WQ H M hZJUYKEgraveJUb HH [ l jYZQcO[OslashNaelighZJ[]jfcNihQVcurrenLJU^UPJLhYQR[]O[SX H MJyZaringQcOQCZaringQVcurrenUN H QR[]O KhZ[PcentfcJZ JIacuteOe[ H JMeJLhJ H MN HFH MeJJUP[]fcj H QR[]OaringJBjN H QR[]O QcY0^QRhZJUb H fVmtimesJkBKhZJUYZYJU^regWQ H M H MJiexclfRJUPJUf-YJ HXqjOb H QR[]O NPO^ Oe[ H WQ H M H MJTbLjehYUPJgYacute|^

G []ZOslashJ[ H MeJLhWNtilde[Phl`BYeBjYZQcOF[auml^QcY H hQccentj H QR[]O H MeJL[PhYmSeBMNUPJcentEgraveJLJUOaringKh[PK=[]YZJU^OslashcentmJLcenthZJUjFUPJaJ H NPf)^_aJLcenthZJUjUPJ J H NPfd^Ve sSs fjXiacute[PhZaringJU^QcbLNPfQCZaringN[]QcO[NPO^ centm 5ZaringNP^QRJUjJ H NPfd^shyaq _Z NP^QRJUj J H NPf)^VeshyfhShSh]jcopyXiacute[PhcentjQsfc^QcO[times^eJ H JUb H QR[]OO^not QcONPfcfVmSe~hZJ[]QR[]OWVcentNPYZJU^aringNPb H QVUPJbn[]O H []jehYNtildeNihZJNPfcY[OtildeKEgrave[WFJLhYXqjf H [[]fsYX[PhNtildebLfcNPY5VYZQbLN H QR[]Opounda13yJcurrencurrenUQJ H NPfd^VeshyfhShSh]j[Ph_ZOslash[ H Qc[]O^eJ H JUb H QR[]Oxaw_aNPOYZ[]jehQgNPO^wcOtilde[]OWVhNP^efhShSh]j^MeJZ N~5[PhOtildebn[]O H hQRcentj H Qc[]Oa[SXy[]jh5WF[PhY`aQsY H [KhZ[PKEgrave[]YJaeligNo[PJUOeJLhNPfQXiacutehNSZOslashJnVWF[PhY`X[PhaumlhJ[]QR[]OWVcentNPYJU^OacuteNPb H QVUPJ bn[]O H []jehY H N`BQcOF[QcO H [NPbLbn[]jO HIacuteH MeJaringbLNPYJ [SX

hZJ[]Qc[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhY^OgraveMeJ UPJUfR[WbLQ H mordmUPJUb H [PhF[SX H MJiexclNPb H QVUPJUacutebn[]O H []jh

uumlnyacute|thornLyuml13 o

i $amp)(+-)013021+345627893lt=gt9A6CBQcYUacutebn[]ZOslashK-j H JU^centm`QcO H hZ[W^jbLQcO[N ^mWONSZaringQcbLNPfampYZbdMeJZOslashJaring^QchZJUb H fVm`QsO H MJaringbnhQ H JnVhQc[]O H [frac34ZaringQcOQZaringQVcurrenLJaeligNPYTQcO aJLcenthJUjUPJ J H NPfd^Ve sSs f 5ZaringNP^QcJUjJ H NPfd^VefhShSh]j^iexcl[WFJUPJLheWFJ KhZ[PKEgrave[]YJ MJLhZJ N OJW Xiacute[PhlZtimesjfcN H QR[]O7[SX H MJ^JLhQVUiN H QR[]OjYZQcO[YZMNiK=JIacute[PK H QZaringQcurrenUN H QR[]O H [B[]fcY^ Q H M YjbM NZaringJ H Me[B^egtWFJtimesNihJaeligNicent-fRJ H [hZJUNP^QsfVmH N`PJQcO H [NPbLbn[]jO HaringH MeJ bLNPYJ [SXhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhY H MN H U~NihYm^jhQcO[ H MeJ KhZ[PKN[]N H QR[]O[SX H MeJ NPb H QUPJ bn[]O H []jeh^MeJUYJ ^eJUYZbnhQRK H [PhYTMNUPJH [centEgraveJtimesbn[]OYZQc^eJLhZJU^ YZQcObnJ H MJmaNihZJlaquoWQc^eJUfmjYJU^X[PhOtildejOYZjeKEgraveJLhYUWQcYJU^YJ[]ZaringJUOWVH N H QR[]O^ not [Ph(YZjbdM hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYbnhQRK H [PhYeOgraveWFJiexclYZMe[W H MN H NP^^Q H QR[]ONPfH JLhlZ Y0NiKKEgraveJUNihNtildeQsO H MeJJUP[]fcj H QR[]OaringJBjN H QR[]O [SX H MeJiexclbLjehlUPJ H MN H MNUPJUacuteOe[ H centEgraveJLJUOKhJUBQR[]jYZfVm bn[]ZOslashK-j H JU^O^

pE paraOacuteOgraveJJTIshyAgravesup1cedilqoacuteIshyacuteLcedilsup3UrltLcedilgtmicrobacuteNsMgtLtrraquoML iquest acuteAgravegtT2MKIOAacutelAcirclaquocedilFAtildeacuteNfrac12oRSJT13AringKacutepoundAEligMKIKJMgtPltLAtildeq jhyZaringNPQcOb[P[]NPfFfsQRJUYTQcO H MeJ JUfsNicent=[PhdN H QR[]O[SXNfrac34[PJUOeJLhNPfXhdNSZOslashJWNtilde[Phl`umlX[Ph H MeJYJ[]ZaringJUO H N H QR[]O7[SXNPO7QZaringN[PJQcO H WF[euml^Q=JLhJUO H hZJ[]QR[]OYtimesjYZQcOF[hZJ[]QR[]OWVcent-NPYJU^NPb H QVUPJIacutebn[]O H []jehdY^ JOtildeKhZ[PKEgrave[]YJ H [ZaringQcOQZ QVcurrenLJ H MeJiexcl[PJUOeJLhdNPfgbnhQ H JLhQc[]O a2jWiexclMeJLhZJUacuteJUNPbM hJ[]QR[]OQcYamp^eJUYbnhQRcentEgraveJU^TjYQcO[UacuteN_XqjOb H Qc[]OtimesbLNPfsfRJU^ n^eJUYZbnhQRK H [Ph[SX H MeJhZJ[]QR[]Op^i YampKhZJUWQuV[]jYfVmOtilde^eJ H NPQcfRJU^OeNiexcl^eJUYbnhQRK H [PhQcY9N XiacutejOb H QR[]O H MN H ZOslashJUNPYZjhZJUY H MJNtildeMe[]ZOslash[S[PJUOJUQ H m[SXyN hZJ[]QR[]OO^Egrave_[]Y H [SXyhJUfRJU~NPO H Y H N H QcY H QcbLNPf^eJUYZbnhQcK H [PhY^JLK=JUO^ H MeJZaringYZJUfVUPJUY[]O H MeJOslashhJ[]QR[]OO^ G []ZOslashJOslashJkeNSZOslashKfRJUYOtildeNihJordm[]QVUPJUOQcO G JUb^shy^ macr^ not [PhTJkWNSZOslashK-fRJSe H MeJhZJ[]Qc[]Oa^eJUYZbnhdQRK H [Phordfuuml thorn timesOslash yuml bLNPO centEgraveJTbM[]YJUOeumlNPY H MJyUiNihQcNPObnJvu centtimesOslash [SX H MeJThJ[]QR[]OOumlcopytimesOslashFeWMQcbdM[]QVUPJUYaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashj|aacute[u centtimesOslash aacutexw$ aOtilde SOtimesOslashjUcirccent atilde aumlw$ atilde aumlWMJLhZJSOtimesOslash QcY H MJyZOslashJUNPO [SX H MeJaumlhJ[]QR[]OwOumlcopytimesOslash^ G jbMaNaring^eJUYZbnhQcK H [PhQcY(ONSZaringJU^aNn5hZJ[]Qc[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhlpOslashYZQcObnJaumlQ H ^eJLKEgraveJUO^YF[]O H MeJaumlhJ[]QR[]OwOuml timesOslash ^q ObnJ H MeJTbnhdQ H JLhQR[]O QcYQcO H h[B^jbnJU^OeWNtildeJTKhZ[PKEgrave[]YJ H [ bn[]ZaringKj H J H MeJTJUP[]fcjWVH QR[]OUacuteJBjN H QR[]OT[SX H MJ0bn[]O H []jh H MN H WQsfcfZaringN`PJ0Q H JUP[]fVUPJ H [WNih^YNyacuteZaringQcOQCZIacutejFZ[SX H MeJTbnhdQ H JLhQR[]OjYZQcO[OslashNaringOeJWH0jfcJLhQcNPOZOslashJ H Me[W^O^ H XqjO^NSZOslashJUO H NPfcfVm ^QEgraveJLhYXiacutehZ[]Z2[ H MJLhFNiKKhZ[]NPbMeJUYFYZQcObnJyacuteWNtildeJ_`PJLJLK H MJ Xiacute[PhlZIacutejfcN H QR[]Oaring[SXhJ[]QR[]OY0QsOY H JUNP^[SXyhJU^jbLQcO[ H MeJWiexclMe[]fRJTKhZ[PcentfRJZ H [ centEgrave[]jO^NihYm QcO H J[PhNPfcY^gtO^JLJU^OeWFJlaquohY HQcO H hZ[W^jbnJFNiexcl^mWONSZaringQsbLNPfYZbdMeJZOslashJ(QcO H MeJ(bnhQ H JLhQc[]OIacuteNPO^ H MeJUOWFJbn[]ZaringKj H J H MeJNtildejfRJLhQcNPO`^eJLhQVUiN H QVUPJaelig[SX H MJOslashJUP[]fVUBQsO[ bnhQ H JLhQR[]O`centm`jYZQsO[ YMNiKEgraveJIacute[PK H QCZaringQVcurrenUN~VH QR[]O KhQsObLQRKfRJUY^]MQcYZOslashJ H Me[W^ KhZ[UWQc^eJUY H MeJUacuteNP^U~NPO H N[PJ H MN HH MeJ5U~NihdQcN H QR[]O[SXehZJ[]Qc[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYbnhQRK H [PhYltWQ H M H MeJFJUP[]fcj H QR[]OIacute[SX H MeJNPb H QVUPJ(bn[]O H []jhbLNPO centEgraveJOtildehZJUNP^QcfVm H N`PJUO`QcO H [ NPbLbn[]jO H ^MeJTbn[]ZOslashKj H N H QR[]Oa[SX H MJTJUP[]fcj H Qc[]OaJBjN H QR[]O`[SX H MeJIacuteNPb H QUPJtimesbn[]O H []jehOtildeQcYKEgraveJLhYXiacute[PhlZOslashJU^QcO H MehJLJyZaringNPQcO Y H JLK-Yaring

uumlnyacute|thornLyuml13 y

yenKbrvbarsect =4 acirc $ hf^ltO H hZ[W^jb H QR[]O[SX$NOslash^mWONSZaringQcbLNPfYbMeJZOslashJSaring JTYJUNihbdMX[Ph H MeJOtildeKNih H Q H Qc[]O[SX H MeJaumlQZ N[PJadOumlcopytimesOslashszliglOuml UgraveUcircUacuteUuml szligYYacutejWMQcbdMZaringQcOQuVZaringQVcurrenLJUY H MeJbnhQ H JLhQR[]Oocirc|adOumlcopytimesOslashgtszliglOuml UgraveUcircUacuteUuml szligYYacutej^eJUYZbnhQRcentEgraveJU^aeligQcOa2j^ MQcfRJNPYZYZjZaringQcO[

H MN H NPO`[PK H QZaringNPf9KNih H Q H Qc[]O JkWQsY H Ye H MJTQcYZYZjJTQcY H [ bn[]ZOslashKj H J H MQcYiexclY[]fcjWVH QR[]OO^ G QsObnJ H MeJ YJ H [SX(NPfcfy^e[]ZaringNPQsOYaumlMNPYIacuteOe[ H NaY H hjb H jehZJOslash[SXcopyUPJUb H [PhQsNPfYKNPbnJSeQ H QcYauml^Qz bLjf HUacuteH [abn[]ZOslashKj H J H MeJ ^eJLhdQVU~N H QUPJOslash[SX H MJ bnhQ H JLhQc[]ONPb|Vbn[Ph^QcO[ H [ H MJ^e[]ZaringNPQsOY^_[ bLQchbLjFZUPJUO H H MQcY`KhZ[PcentfcJZeyacuteWFJNiKKfmN H hNPOYYX[PhlZ N H QR[]O| H [ JUNPbM^e[]ZaringNPQsOOeYZjbdM H MN H Q H centEgraveJUbn[]ZOslashJUY`bn[]OWVH QcOj[]jYZfVm^eJLKEgraveJUO^eJUO H []O NPO JUP[]fsj H QR[]O KNihNSZOslashJ H JLhagrave^MeJ`bnhQ H JLhQR[]Ocent=JUbn[]ZaringJUYT^eJLKEgraveJUO^eJUO H []Obagravearingocirc|aagravejgaacute ocirc|adOumlcopytimesOslashaagravejszliglOuml UgraveUcircUacuteUuml aagravejszligYYacuteaagravejj^QO H MQcY^mBONSZaringQcbLNPfTYbMeJZOslashJSeiexclWFJ bLNPO hJUNP^QcfVm H N`PJQcO H [ NPbLbn[]jO H N K=[]YYZQRcentfRJU~NihQsN H QR[]O[SX H MeJ ^eJUYZbnhdQRK H [PhYWQ H M H MeJJUP[]fVUWQcO[ hZJ[]QR[]OYk|adOuml times j aacuteOumlcopytimesaagravej^

^QiexclJLhdQVU~N H Qc[]O [SX H MeJaumlbnhQ H JLhQc[]O jYZQcO[OslashYZMNiK=JOtilde[PK H QZaringQVcurrenUN H QR[]O H MJL[PhZJZaringYaringMeJNtildebnhdQ H JLhQR[]OocircOcircaagravej9QcY H MeJUOIacute^JLhQVUPJU^TNPbLbn[Phd^QcO[ H [5agrave H MNPO`WY H [ H MeJFbn[]ZaeligVKj H N H QR[]Oeuml[SX H MeJ0jfRJLhQcNPOeuml^eJLhQU~N H QVUPJaelig[SX_ocircjYZQcO[YZMNiKEgraveJaelig[PK H QZ QVcurrenUN H QR[]OKhQcObLQcKfRJUYeOWMQcbMQcYIacuteOJWQsO H MeJNihZJUN [SXNPb H QVUPJ bn[]O H []jehY^$ YXqNihOslashNPYH MeJF^JLhQVUiN H QR[]OTQcYbn[]ObnJLhOeJU^e H MeJU~NihdQcN H QR[]OIacute[SX H MeJF^JUYZbnhQRK H [PhdYWQ H M H MeJJUP[]fVUBQsO[OslashhZJ[]QR[]OY_Oumlcopytimesaagravej(NPO^Y[ordmWQ H MagravetZIacutejY H centEgraveJ H N`PJUOaQcO H [aringNPbLbn[]jO H ^

^vF[]ZOslashKj H N H Qc[]O [SX H MJaumlJUP[]fcj H QR[]OJjN H Qc[]OXh[]Z H MeJauml^eJLhQU~N H QVUPJSaringnot hZ[]Z H MeJNtilde^JLhQVUiN H QVUPJSeWFJNtilde^eJU^jbnJ H MeJUPJUfR[WbLQ H mordfUPJUb H [Ph$[SX H MeJFNPb H QVUPJbn[]OWVH []jeh H MN H WiexclQcfcfZaringN`PJQ H JUP[]fUPJiexclNPYXqNPY H NPY$KEgrave[]YZYQRcentfRJ H [WNih^YNtildeNgZaringQcOQCZIacutejFZ[SX H MeJOtildebnhQ H JLhdQR[]OO^ObLNPYJUacute[SX9hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhYe H MeJUacuteJUP[]fcjWVH QR[]OeumlJjN H QR[]Oeuml[SX H MJaringNPb H QVUPJaringbn[]O H []jhTQcYOtilde^QEgraveJLhZJUO H XhZ[]Z H MJtimes[]OJaringbn[]ZaeligVKj H JU^ Xiacute[Ph hZJ[]QR[]OWV4QcO^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhY^ G []ZOslashJ`NP^^Q H QR[]ONPf H JLhZaringYNiKKEgraveJUNihiexclNPO^`Y[ Q H QcY[SX$KhdQZOslashJaumlOeJUbnJUYZYQ H m H [bn[]OYZQc^JLh H MeJ H WNtilde[o`WQcO^Y([SX^eJUYZbnhQRK H [PhY(YJLKNihN H JUfmS^

9J H jYFOe[ H J H MN HFH MQcY[PJUOeJLhNPfKXiacutehNSZOslashJWF[PhY` bLNPO centEgraveJNiKK-fcQRJU^ H [ordmZaringNPOm ^QEgraveJLhVJUO H NiKKfsQcbLN H QR[]OYcentm[]OfVmbMNPO[]QsO[ H MeJT^eJUYbnhQRK H [PhY^ H MNPYcentEgraveJLJUOOe[ H NicentfmNiKK-fcQRJU^ H [ordmZOslash[UBQsO[aelig[Pcent~5JUb H Y(^J H JUb H QR[]O QcOoUBQs^eJL[timesYZJjeJUObnJUY(NPbjQchZJU^ JUQ H MeJLhWQ H MN Y H N H QcbawS]JUMNPOWV4XFJUYZY[]O J H NPfd^Ve sSs fLbjiexcl[PhUacuteNregZOslash[Pcent-QcfRJTbLNSZOslashJLhdNawS]JUMNPOWVXFJUYZY[]O J H NPf)^Ve sSs fncentj^ JUYZbnhQRK H [PhdYoZ Nm NPfcY[centEgraveJ YJBjeJUO H QcNPfcfVm jYJU^ H [QZaringKhZ[UPJ H MeJu-ONPfBhZJUYZjf H NPYyQ H MNPYampcentEgraveJLJUOaeligKh[PK=[]YZJU^timesQsOtawSPJUMNPOWV4XFJUYZYZ[]OOslashJ H NPfd^VesSs fLNOgravej^^f^~OacuteETHEgraveKEacute18=KETH32EacuteltOacuterEacute0frac34Ntilde83ltOacuteONtildeshyIacute=gtNtildeshyEumltIcirc=39IgraveFIacute5Igrave O QZaringN[PJumlOtildegta2atildeltszligaumlj QcYNxXqjOb H QR[]O ^eJOJU^ Xiacute[Phpounda2atildeshyszligaumlFj OumlOcirccenteuWMeJLhZJOumloslashQcY H MeJ QZaringN[PJ ^e[]ZaringNPQcOO^ltMeJ QCZaringN[PJ ^e[]Z NPQcOQcYIacutebn[]OYZQc^eJLhJU^ H [ cent=JZaringNP^eJjeK`[SX H WF[KNih H Ylaquoa not Q[^fjaring H MJyXiacute[PhZJ[PhZ[]jO^`KNih H bn[]O H NPQsOQcO[ H MeJT[Pcent~JUb H Y H [

uumlnyacute|thornLyuml13

f s $amp)(+-)013021+345627893lt=gt9A6CBYJ[]ZaringJUO H e=Oe[ H JU^frac34OumlcopytimesOslashFe-NPO^ H MeJaumlcent-NPbY`[PhZ[]jO^aKNih H Oe[ H JU^Ouml UgraveUcircUacuteUuml ^MeJauml^QcYZbn[]OWVH QcOBjQ H m`YJ H QcYOtildeNbLjehlUPJ Oe[ H JU^bYacute H MN H ^JOeJUY H MeJ cent=[]jO^NihYmcentEgraveJ H WNtildeJLJUO H MeJH WNtilde[ ^[]ZaringNPQcOY^ J H MJUOaYJUNihbdMtXiacute[Ph H MeJ H WNtilde[^e[]ZaringNPQsOYyacuteOuml UgraveUcircUacuteUuml NPO^wOumlutimes OslashWMQcbdMtZaringQcOQZaringQVcurrenLJ H MeJbnhQ H JLhQR[]Oocircuml[]QVUPJUOcentmumla2jehZJZaringQcO^eJU^ MeJLhZJSaring

ocirc|adOuml UgraveUcircUacuteUuml szliglOumlcopytimesOslashgtszligYYacuteQjumlaacute uuml thorn UgraveUcircUacuteUuml yuml a2atildeltszligaumlgtszliglOuml UgraveUacuteUuml j atilde auml $ uuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOuml timesOslash j atilde aumlamp uacuteucirc thorn yuml uuml thorn otilde)yuml a2atildeshyszligaumlFj THORN5OaumlbnhQ H JLhdQR[]Oa2je H MeJ|hY HH WNtilde[ H JLhlZaringY9NihJyhZJ[]QR[]OWVcent-NPYJU^ordfWMQsfRJ H MeJ H MQRhd^ H JLhlZQcYcentEgrave[]jO^NihYmVcentNPYJU^O^MeJiexclXqjOb H QR[]OYyacuteuuml thorn UgraveUcircUacuteUuml yuml egtuuml thorn timesOslash yuml NPO^tuuml thorn otilde)yuml NihZJaumlhZJUYKEgraveJUb H QVUPJUfmH MeJ^eJUYZbnhdQRK H [PhY[SX H MeJFcentNPbl`[PhZ[]jO^timesKNih H ei[SX H MeJ[Pcent~JUb H Y H [OtildeYJ[]ZOslashJUO H NPO^Iacute[SXH MeJaumlbn[]O H []jeh^KMeJauml^eJUYbnhQRK H [PhYuZ Nm centEgraveJordf[]fR[PcentNPfcfm N HH NPbMJU^ H [ H MeJOtildeJUP[]fVUWQcO[hZJ[]Qc[]OY(NPO^Y[ ^eJLKEgraveJUO^ []Ofrac34Ouml timesOslash [Ph5OumluUgraveUcircUacuteUuml^

G QcObnJ H MeJaringYJ H [SXNtildeNPfsf$^e[]ZaringNPQcOYUacuteMNPYOtildeO[ H N Y H hjb H jehJtimes[SXUPJUb H [PhQcNPfyYZKNPbnJSeWFJIacutebLNPOeumlOe[ H bn[]ZOslashKj H J H MeJaelig^eJLhQVUiN H QVUPJT[SX H MJIacuteKhJUBQR[]jYbnhQ H JLhdQR[]OaNPbLbn[Ph^QcO[H [euml^e[]ZaringNPQcOY^ltMJLhZJX[PhJSe H [bn[]ZOslashKj H JNPO[PK H QZaringNPfFY[]fcj H Qc[]OOe9Neuml^mWONSZaringQcbLNPfYZbdMeJZOslashJOtildeQcYQcO H hZ[W^jbnJU^WMeJLhZJJUNPbM^[]ZaringNPQcO cent=JUbn[]ZaringJUY(bn[]O H QcOBje[]jYfVm ^eJLKEgraveJUOWV^eJUO H []ONPO JUP[]fcj H QR[]O KNihdNSZOslashJ H JLhagrave^59[ X[PhZaringNPfcQVcurrenLJ H MQcYQc^eJUNe WNtildeJxZaringNmYZjKKEgrave[]YJ H MN HTH MJ JUP[]fcj H Qc[]OKhZ[WbnJUYZYtimesQcY H [ H NPfsfVm^eJ H JLhlZaringQcOJU^centm H MJ JkeQcY5VH JUObnJiexcl[SXgNyXqNSZaringQcfmIacute[SXgNiKK-fcQcbLN H QR[]OY| H MN HNtildeH hNPOYXiacute[PhlZaringY H MeJiexclQsOQ H QcNPfe^e[]Z NPQcOYOumlcopytimesOslashgta s jNPO^tOuml UgraveUcircUacuteUuml a s jQsO H [ H MeJIacutebLjehZhZJUO H ^e[]ZaringNPQcOYyacuteOumlcopytimesOslashKaagravejNPO^frac34Ouml UgraveUcircUacuteUuml aagravejaring

OumlutimesUcirca s j ntilde OumlcopytimesaagravejYacutea s j ntilde Yacuteaagravej WiexclMeJLhZJVQaacuteiV[Ph Kf5 iumlMBjY H MeJOtildehJ[]QR[]OY(JUP[]fVUPJ H [WNih^YiexclNPO [PK H QZaringNPf9Y[]fcj H QR[]O^MeJ H hQRKfcJ H Ouml UgraveUcircUacuteUuml aagravejszliglOumlcopytimesOslashOaagravejszligYYacuteaagravejordmZIacutejY H NPb H NPYNregZaringQcOQZ QVcurrenUQcO[TYZJjeJUObnJgX[Phocirc|adOuml UgraveUcircUacuteUuml szliglOumlcopytimesOslashszligYYacutejWiexclMeJUOagrave JUP[]fVUPJUY^MeJ5XqjOb H QR[]ONPfOocircOcircadOuml UgraveUacuteUuml aagravejszliglOumlcopytimesOslashaagravejszligYYacuteaagravejjMNPY H [ bn[]OOgraveUPJLhY[PJ H [WNih^Y H MeJpoundZaringQcOQCZIacutejFZ UiNPfcjeJeuml[SXregocirc2NPYfrac34agraveacircntilde ograveegrave^ MeJbnhQ H JLhQR[]O H MeJUO centEgraveJUbn[]ZOslashJUYaring

ocirc|adOuml UgraveUcircUacuteUuml aagravejszliglOumlcopytimesOslashaagravejszligYYacuteaagravejjaacute thorn yuml uuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszliglOuml UgraveUcircUacuteUuml aagravejj atilde auml 5$ thorn yuml uuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashKaagravejj atilde aumlj uacuteucirc thorn yuml uuml thorn otilde)yuml a2atildeshyszligaumlFj THORN adh]jMJoXqjOb H Qc[]ONPf_ocircOcircadOumlyacuteUgraveUacuteUumllaagravejszliglOuml timesOslash aagravejszligYYacuteaagravejjaeligQcY H MeJLhZJUNX H JLh O[ H JU^egraveocirc|aagraveje0NPO^H MeJ ^eJUYZbnhQcK H [PhYuuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashKaagravejj NPO^icircuuml thorn UgraveUcircUacuteUuml yuml a2atildeltszligaumlgtszliglOuml UgraveUcircUacuteUuml aagravejjaringNihZJ`hZJUYKEgraveJUb|VH QVUPJUfmUacuteO[ H JU^laquouuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejgNPO^laquouuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszligYagravejeWMQcbdMTfRJUNP^Y H [ H MeJXiacute[]fcfR[WQcO[

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ fSfJkWKhZJUYZYQR[]OOaring

ocirc|aagravejumlaacute thorn yuml uuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszligYagravej atilde auml $ thorn yuml uumlgtthorn timesOslash yuml a2atildeltszligaumlgtszligYagravej atilde aumlj uacuteucirc thorn yuml uumlgtthorn otilde)yuml a2atildeshyszligaumlFj THORN af s j5OOtildebn[]O H hdNPY H WQ H MUacute[ H MeJLh9NPb H QVUPJFbn[]O H []jehdY9NiKKh[]NPbMeJUYe H MeJy^mWONSZaringQcbLNPfPYZbdMeJZOslashJQcYtimesMeJLhZJ^QRhJUb H fVmQcO H h[B^jbnJU^QcO H MeJbnhQ H JLhQc[]OO^ Q H MYZjbdMNeumlYZbdMeJZOslashJSe H MeJQcO H hZ[W^jb H QR[]OOacute[SXiexclNPO NPb H QVUPJbn[]O H []jehOslashJUP[]fVUWQcO[ WQ H Msup1agraveQcYaeligY H hNPQ[]M H Xiacute[PhYWNih^O^iexclJUObnJ WNtildeJbn[]OYZQc^eJLh H MN H Yacuteaagravej QsYoZaring[B^eJUfsfRJU^ NPY NPO NPb H QUPJOacutebn[]O H []jh H MN Hbn[]OUPJLhY[PJUY H [WNih^Y H MJgONPfEgraveJkWKEgraveJUb H JU^YJ[]ZOslashJUO H N H QR[]OO^9J H Yacutea s jtimescentEgraveJ H MeJQcOQ H QcNPfNtildebLjhYUPJa^eJOJU^centm H MeJjYJLh^ JahZJUbLNPfcf H MN H WFJYJUNihdbMtXiacute[Ph YacuteaagravejNPYNaringbLjehlUPJaumlJUP[]fVUWQcO[aringNPbLbn[Ph^QsO[ H [ H MeJgXiacute[]fcfR[WQcO[ordm5 aringaelig YacuteadTHORNOgraveszligYagravejaelig agrave aacuteegraveeuml WiexclQ H MigraveYacutea s j|aacuteegraveYacuteshyiacute afSfjWMJLhZJ_euml`QcY H MJ_UPJUfR[WbLQ H mUPJUb H [Ph([SX H MeJUacuteNPb H QVUPJOtildebn[]O H []jh^MeJ_Z NPQcO KhZ[PcentfRJZfcQcJUYFQsO-O^QcO[ H MeJiexclUPJUfR[WbLQ H meumlXhZ[]Z H MJUacutebnhdQ H JLhQR[]Opoundaf s jFQcO [Ph^JLh H [ordm[PJ HH MeJXqNPY H JUY H bLjhYUPJaumlJUP[]fcj H Qc[]O H [WNih^Y H MeJordfONPfYJ[]ZaringJUO H N H QR[]O^^ ^iexclEacuteltIacuteETHNtildeFETHEacuteshyOacute Eacute10wETH9Igrave8ltIgraveFEgravegt+NtildeFETH3gt+ltIgraveumlEacute10frac34ETH9Igrave=KEgrave13ETHIgraveFEgraveEacuteshyOacute5Oeuml[Ph^eJLh H [ [Pcent H NPQsO H MeJOslashJUP[]fcj H QR[]OeumlJBjN H QR[]Oe H MeJaringbnhQ H JLhQc[]OxocircOcircaagravej5ZtimesjY H centEgraveJ^QV=JLhZJUO H QcN H JU^WQ H MhZJUYKEgraveJUb H(H [agrave^MeJOtildeQcO H J[PhNPfcentEgrave[]jO^Y^eJLKEgraveJUO^ []Otagrave NPO^H MeJauml^JUYZbnhQRK H [PhdYyacuteuuml thorn UgraveUcircUacuteUuml yuml a)jNPO^wuuml thorn times Oslash yuml a)juZaringNm NPfcY[aring^JLK=JUO^[]Otagrave^9J H jY^eJOJ H MeJordfXiacutejOb H QR[]ONPfuumlOa2atildeltszligaumlgtszligYagravejYZjbM H MN H aring

uumlOa2atildeltszligaumlgtszligYagravej|aacute uuml thorn UgraveUacuteUuml yuml a2atildeltszligaumlgtszligYagravej QVXcopya2atildeltszligaumljwOuml UgraveUcircUacuteUuml aagravejuuml thorn times Oslash yuml a2atildeltszligaumlgtszligYagravej QVXcopya2atildeshyszligaumlFjtOumlcopytimesOslashKaagravej af jMJbXqjOb H QR[]ONPfuuml thorn UgraveUcircUacuteUuml yuml a)jNPO^Huuml thorn times Oslash yuml a)j`NihZJ^eJOJU^ []O H MeJxWMe[]fRJ7QZaringN[PJ^e[]Z NPQcOtOumliexcl^FMeJUOe H MeJaumlbnhQ H JLhQc[]OocircOcircaagravejuWhQ H JUY(NPYaring

ocirc|aagravejOcircaacute uacute uumlOa2atildeshyszligaumlKszligYagravej atilde aumlj uacuteucirc thorn yuml uumlgtthorn otilde)yuml a2atildeshyszligaumlFj THORNordfaacuteocirc aagravej ocirc cent aagravej af]jWMJLhZJgOuml QcY H MeJaumlQCZaringN[PJT^e[]ZaringNPQsOOeeNPO^Oaring

ocirc aagravej|aacute uacute uumlOa2atildeshyszligaumlKszligYagravej atilde aumlocirc cent aagravejOcircaacute uacuteucirc thorn yuml uuml thorn otilde)yuml a2atildeshyszligaumlFj THORN

uumlnyacutenthornnyumll13YSordmY_F

f $amp)(+-)013021+345627893lt=gt9A6CB5OOtilde[Ph^eJLh H [bn[]ZaringKj H J H MJ0^eJLhQVUiN H QVUPJy[SX H MJNtildebnhQ H JLhdQR[]Olaquoocirc aagraveje H MJNtilde^QcYbn[]O H QcOBjWVQ H QcJUY|ZtimesjY H JkWKfcQcbLQ H fVmIacutecentEgraveJ H N`PJUOQcO H [IacuteNPbLbn[]jO H ^ not [Ph(YZjbdM NIacuteKjehZKEgrave[]YJSeSWFJ5hY HhZJUbLNPfsf-N[PJUOeJLhNPf H MeJL[PhJZbn[]ObnJLhOQcO[ H MeJUacute^eJLhQVUiN H QVUPJ[SX9N H QZOslashJnV4^eJLKEgraveJUO^JUO HbnhQ H JLhQR[]OO^9J H jY(^eJ-OeJyOumlcopytimesaagravejNPYNOslashhZJ[]Qc[]OQcObLfcj^eJU^QcO H [regOumlordf^yacute5 q Ntilde_ f^1ltuumlStimesBiexcl centpoundcurrenyencurrenbrvbarsectumlordfcopynotlaquo3shyyenLregmacrcurrenRlaquodegcurrenbrvbarlaquo Oumlplusmna s szligsup2|iexcljsup3acute Rlaquomicromiddotparagtltocirc|aagravejOcircaacute w thorn yuml uumlStimesYa2atildeltszligaumlgtszligYagravej atilde auml~sup3cedilsectsup1ltlaquoordm ocirc agrave aacuteocirc7raquodaagravejOcircaacute thorn yuml aelig uumlStimesaelig agrave atilde auml uacutefrac14 thorn yuml uumlStimesYafrac34frac12 eacuteAgraveiquestsup1AacuteAtildeAcircYj THORNAuml sectsup1ltAringPfrac12AEligreg(centsectsup1Ccedilbrvbar_paracurrenyenshyltregLLEgraveacutecurrensup2uml aelig Oumlcopytimesaagravej RlaquomicroeacuteAgraveiquestsup1AacuteAtildeAcircEacuteregEcirccentsectsup1copysup1laquoregEumlreg(laquo Auml brvbarAringsup2microacutelaquocurrenRAringordfpound RparaIgravecurren aelig Oumlcopytimesaagravej_IacuteMJ^JLhQVUiN H QVUPJ[SXshyocircWQ H MaelighZJUYZK=JUb HampH [yagraveaeligQcY H MJyacute0jfRJLhdQcNPOIacute^JLhQVUiN H QVUPJ([SXocirc|adOumlcopytimesAjQcO H MeJOtilde^QRhJUb H QR[]O [SXEumlfrac12umleWMQcbdM bn[]ZaringKj H N H QR[]O QcY[]QVUPJUO QsO iexclKKEgraveJUO^Qkaring ^FMeJUiNihQcN H QR[]Oeuml[SX5ocirc QcYOtilde^jeJ H [ H MeJUiNihQcN H Qc[]O[SX H MeJordmXiacutejOb H QR[]ONPfOcircuuml]timesa2atildeltszligaumlgtszligYagravejaumlNPO^H [ H MeJgZOslash[ H Qc[]O[SX H MeJOtildeQcO H J[PhNPf^e[]ZaringNPQsOOumlutimesaagravej^ Y(Naeligbn[PhZ[]fcfcNihYm [SXltMJL[PhZJZfeFWFJordf[PJ H aringv q q shy9 5lt f^yenIcirccopyNcentampcentcopyIuml-Iumlsup1currenfcentyenYsectnot -sectsup1Ymicro-currenRpound Rreglaquofrac34Oumlgaagravejampreg(centpound -microETHcopyIumliexclcurrensup2uml Auml currenCIuml RAringordfcentsup3yOuml timesOslash aagravejNtilde RlaquomicropoundOumlyacuteUgraveUacuteUumllaagravejOgravecentyenfrac34Iumlsup1 brvbarAringsup2 brvbarmicro_Egraveh iexclpoundYcurrenbrvbarCcedildreglaquoNOacutehreglaquo5_Aringumllt -shytYacuteaagravejAuml sectETHregmacrshy_sectOcircCcedilRltparaOtildecurrendshyltregLLEgraveregEcirccentyacuteeumlEumlIacuteOumlsectsup1Uumlordfcopynotlaquo3shyyenLregmacrcurrenRlaquouumlOa2atildeltszligaumlgtszligYagravejreg(centcentordfcopyIuml-Iumlsup1currenfcentyenmicroOcircIgravecurrenOcirccentltfrac34Iuml RAringsup2 -_paraEgraveshycurrenRlaquo5LreglaquocopycurrenRcopynotcentcedilreglaquoyOumlcopytimesOslashKaagravejW Rlaquomicro Ouml UgraveUcircUacuteUuml aagravej_copy3pound REgraveampJmicrobrvbarregEcirccentltshycurrenRlaquo5LreglaquocopycurrenRcopynotcentJ -shyltAringPcurrenfcentcentYacuteaagravej_Iacutetimes Agravelaquocurrenbrvbaruuml thorn times Oslash yuml Rlaquomicroruuml thorn UgraveUcircUacuteUuml yuml sup3sectsup1Ccedilf brvbarparacopy5iexclcurrensup2umlwuumlreglaquoOslashAringordfcentIumlshydLreg(Ccedilbrvbar_paraEgraverOumlutimes OslashaagravejAgrave Rlaquo3microOuml UgraveUcircUacuteUuml aagravej_IacuteUgraveOumlsectNcopyNcentampsectmicroETH_Aringordfreg(CcedilR brvbarLregCcedilRcurrensup2umlordfocirc|aagravej Auml AringregLordfcent fcent_ordm

ocirc7raquo)aagravejOcircaacuteUacute thorn yuml aelig uumlaelig agrave atilde auml uacutefrac14 thorn yuml uumlOaLUcirc eacute iquestsup1Aacute j THORN uacuteucirc thorn yuml uumlNaeuml eacuteHj THORNAuml sectsup1ltAringPacute uumlNAringfrac34Iuml3AringP_centlt_laquocentYsectUumlordfcopysup1poundUgraveIumlcurrensup2umlguumlh -shyltAringPcurrenfcentcentordfYacuteaagravej_ordmW uumlNaacuteacircuuml thorn UgraveUacuteUuml yuml uuml thorn times Oslash yuml sup3eacute sectsup1ncopynotlaquo5reglaquo3currenRAringpound RparaIcirccurrensup2umlordfYacuteaagravejmicrobrvbarreg(AringshydmicroampumlAringPcurrenRpound Ouml UgraveUacuteUuml aagravejIgravecurrenOumlutimes OslashKaagravejsup3eacuteAgraveiquestsup1Aacutesectcopysup1laquoregLEumlreglaquo Auml RAringPmicroOcirclaquocurrenRAringordfpound Rpara1Igravecurren aelig Oumlgaagravejj RlaquomicroUcircYacutesectsup1jCcedilbrvbar_paracurrenyenshyltregLLEgravenCcedilbrvbarshydIgravecurrenRAringjcurrensup2uml_Oumlyaagravej_Iacute

plusmngLMOMraquo aring JbLNPO NiKKfVm MJL[PhZJZ f H [ H MeJ ^[]ZaringNPQcO Oumlutimes OslashaagravejaringNPO^ H [ H MeJ^e[]Z NPQcOtOuml UgraveUcircUacuteUuml aagravej^ ^^QcO[ H MeJ H WF[aringJjN H QR[]OYeFWFJOtilde[Pcent H NPQcO H MeJTbn[PhZ[]fcfsNihYmS^ H QcYIacuteOe[WY H hNPQ[]M H Xiacute[PhYWNih^ H [[PJ HtimesH MeJ ^eJLhdQVU~N H QUPJ [SX H MeJ bnhQ H JLhQR[]O ocirc aagravejaringWFJ H N`PJ5OumlyaagravejOcircaacuteAumlOuml H MeJiexclQZaringN[PJ^e[]Z NPQcOta not QV[^ j^MJUOOePcentmaeligJkWKfcQcbLQ H fVm H N`WQcO[

uumlnyacutenthornnyumll13YSordmY_FY

yenKbrvbarsect =4 acirc $ fH MeJtimes^QcYZbn[]O H QcOBjQ H QRJUY(QsO H [ NPbLbn[]jO HUacuteH MNPOF`BY H [ H MeJtimesbn[PhZ[]fcfcNihlmSe H MeJtimes^eJLhQVUiN H QVUPJ[SXocirc aagravejQcYcopy[]QVUPJUOacentmKaring

ocirc raquo aagravejumlaacute uacuteucirc thorn yuml uumlNaeuml eacutej THORN uacutefrac14 uumlOaLUcirc eacuteAgraveiquestsup1Aacutej THORN $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde auml thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afj

q centUWQR[]jYZfVmSe H MeJ7YJUbn[]O^ H JLhlZ [SX H MeJ7^eJLhQVUiN H QVUPJ afjaQcYcurrenLJLh[ YZQcObnJ H MeJJk H JLhONPf(centEgrave[]jO^NihYm aelig OumlD[SX H MeJ`QZaringN[PJaQcYkBJU^^OcircJLKfcNPbLQsO[` uumlN_WQ H MQ H YJkWKhZJUYZYQR[]OOeWNtildeJyO^Oaring

ocirc7raquo aagravejumlaacute uacuteucirc thorn yuml aduuml thorn UgraveUcircUacuteUuml yuml1 uuml thorn timesOslash yuml jaeuml eacuteHj THORN $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde auml thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afmacr]jMJUacute^JLhQVUiN H QVUPJOtilde[SXocirc cent aagravejQcY(bLfcNPYZYQcbLNPfdaring

ocirc7raquocent aagravejOcircaacute uacuteucirc thorn yuml a uuml thorn otilde)yumld huuml thorn otilde)yuml7 eacutejaeuml eacutej THORN af]jWMJLhZJ a2atildeshyszligaumlKszligYagravejQcY H MeJaumlbLjehlU~N H jehJ[SXQYacutea2atildeltszligaumlgtszligYagravej^MeJLhZJXiacute[PhZJSe H MeJOtilde^eJLhQVUiN H QVUPJ[SX H MeJgWM[]fRJOtildebnhQ H JLhQR[]O QsY H MeJordfXiacute[]fcfR[WiexclQcO[aring

ocirc raquo aagravejpoundaacute $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde aumlamp thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afzSj uacuteucirc thorn yuml aduuml thorn UgraveUcircUacuteUuml yuml uuml thorn timesOslash yuml uuml thorn otilde)yuml huuml thorn otilde)yuml eacutejaeuml eacutej THORN

^ ^~THORNUgrave2FEgraveOIgraveIcircIcirclt2EacuteltOacute Eacute0frac34ETH9Igrave8shyIgraveFEgraveEcirc+NtildeFETH3Ecirc+ltIgraveNtilde7==EacuteltEgrave7813Oacute14 ETHOEacute ETH9IgraveOacuteszligltOacuteshyEacuteOacuteAgrave+QIgraveFEumlEacuteAtilde=13ETH+ltIgrave5=KETHOEacuteshyEgravesup1euml5Oaelig[Ph^eJLh H [Tbn[]ZaringKj H J H MeJuUPJUfR[WbLQ H mUPJUb H [PhcopyeumleSWNtildeJMNUPJ H [yZ N`PJQ H NiKKEgraveJUNihyQcOH MeJhY HH WF[ ^e[]Z NPQcOaQcO H J[PhNPfcYiexcl[SX afzSjcentmJkWKhZJUYZYQcO[ H MeJZ NPY_XiacutejOb H QR[]OY[SX H MeJgUPJUfR[WbLQ H meumlQ^iexclJLhZJiexclWFJ H N`PJ H MeJ5[PJUOeJLhNPfbLNPYZJ5WiexclMeJLhZJ H MeJ^JUYZbnhQRK H [PhdYZaringNm ^eJLKEgraveJUO^ []OXiacuteJUN H jehZJUY5[]fR[PcentNPfsfVmN HH NPbMeJU^ H [ H MJtimeshJ[]QR[]OeumlNPO^eumlY[oZ Nm`^JLK=JUO^a[]O agrave^ JZOslash[W^eJUf$JUNPbdM^eJUYZbnhQRK H [PhIacuteNPYtimesNabn[]ZIacutecentQcON H QR[]OOacute[SXuXJUN H jhZJUYy[]fc[PcentNPfcfVmeumlN HH NPbMeJU^

uumlnyacutenthornnyumll13YSordmY_F

f $amp)(+-)013021+345627893lt=gt9A6CBH [ H MJOtildeJUP[]fVUBQsO[OslashhZJ[]QR[]OY_OumlcopytimesOslashKaagravejF[Ph_Ouml UgraveUacuteUuml aagravejaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejpoundaacuteAElig thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn timesOslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejszligiumlViumlViumlVszligagrave thorn timesOslash yumlaacute aagravejjuuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszligYagravejpoundaacuteAElig thorn UgraveUcircUacuteUuml yuml a2atildeltszligaumlgtszligagrave thorn UgraveUcircUacuteUuml yuml aagravejszligagrave thorn UgraveUcircUacuteUuml yumlcent aagravejszligiumlViumlViumlVszligagrave thorn UgraveUcircUacuteUuml yumlacirc aagravejjafi]j

WMJLhZJSaring agrave thorn(atilde yumlauml aacute 7aring thorn yuml5aelig thorn(atilde yumlauml a2atildeltszligaumlgtszligYagravej atilde auml WQ H Mpounda jOcircaacuteacircaVltjF[Pha Kf5 jiuml afh]j9J H jYuhY H bn[]ZOslashKj H J H MeJIacute^eJLhQVUiN H QVUPJOtilde[SXuuml thorn timesOslash yuml eFWFJgO^Oaring

aelig uuml thorn times Oslash yumlaelig agrave aacute aacuteccedilaumlegrave aelig thorn timesOslash yumlaelig agrave thorn times Oslash yumlauml a2atildeltszligaumlgtszligagrave thorn timesOslash yuml aagravejszligiumlViumlViumlVszligagrave thorn timesOslash yumlaacute aagravejj aelig agrave thorn timesOslash yumlaumlaelig agrave aagravej a s j J MNUPJOe[W H [bn[]ZOslashKj H J H MeJ ^eJLhdQVU~N H QUPJ [SXagrave thorn timesOslash yumlauml NPbLbn[Ph^QcO[ H [umlagrave^ JNiKK-fVm H MeJgMeJL[PhZJZigravefaumlNPO^WNtildeJy[PJ H aring

aelig agrave thorn timesOslash yumlaumlaelig agrave aacute $ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde auml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacutej THORN a fj

JLKfcNPbLQcO[ H MeJNtilde^eJLhdQVU~N H QUPJUY9[SX3agrave thorn timesOslash yumlauml WQ H M H MeJUQRhJkWKhZJUYZYZQc[]OYa fj9QcOa s jeSWFJ[Pcent H NPQsO H MJXiacute[]fcfR[WQcO[iexclJkBKhJUYZYZQR[]OX[Ph H MJF^e[]Z NPQcOaeligQcO H J[PhdNPf[SX H MeJ^eJLhQVUiN H QVUPJ[SX H MeJT^eJUYbnhQRK H [Ph uuml thorn times Oslash yuml aring

$ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde aumlacircaacute aacuteccedilaumlordfegrave -eacute thorn timesOslash yumlauml $ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde auml

aacuteccedilaumlordfegrave eacute thorn timesOslash yumlauml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacuteHj THORN a S jWMJLhZJSaring

eacute thorn timesOslash yumlauml aacute $ thorn yuml aelig thorn timesOslash yumlaelig agrave thorn timesOslash yumlauml a2atildeltszligaumlgtszligagrave thorn timesOslash yuml aagravejszligiumlViumlViumlVszligagrave thorn times Oslash yumlaacute aagravejj atilde auml a ]jMJIacuteJkWKhZJUYZYQR[]OwXiacute[Pha jyacuteaacute a Kf jiexclQcYbn[]ZOslashKj H JU^QsO H MeJaeligYZNSZOslashJordmZaringNPOOeJLhiexclWMQcfRJKNmBQsO[N HH JUO H Qc[]O H [ H MeJ`^QRhZJUb H QR[]O[SX H MeJ`Oe[PhlZaringNPfcopyUPJUb H [PheNPO^rWFJ H MBjY

uumlnyacutenthornnyumll13YSordmY_Fsup2

yenKbrvbarsect =4 acirc $ fmacr[Pcent H NPQsO H MeJg[PJUOeJLhNPfgJkBKhJUYZYZQR[]OXiacute[Ph H MeJauml^JLhQVUiN H QVUPJOtilde[SXocircOcircaagravejaring

ocirc raquo aagravejumlaacute uacuteucirc thorn yuml aduumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn times Oslash yuml uumlgtthorn otilde)yuml d hreguumlgtthorn otilde)yuml eacuteHjaeuml eacutej THORN aacuteccedilaumlordfegrave eacute thorn timesOslash yumlauml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacuteHj THORN acircccedilaumlordfegrave eacute thorn UgraveUcircUacuteUuml yumlauml uacuteucirc thorn yuml aelig thorn UgraveUcircUacuteUuml yumlauml aeuml eacutej THORN aacuteccedilaumlordfegrave -eacute thorn timesOslash yumlauml $ thorn yuml aelig aelig thorn

timesOslash yumlaumlaelig agrave atilde auml acircccedilaumlordfegrave eacute thorn UgraveUcircUacuteUuml yumlauml thorn yuml aelig aelig thorn

UgraveUcircUacuteUuml yumlaumlaelig agrave atilde auml a j^ ^ecirccopyEgraveEacuteshyIacuteIumlETH39shyIgrave8shyIgraveFEgraveEcirc+NtildeFETH3gt+QIgraveETHOEacute3iexclNtildeshyEgrave78QIcircETH9IgraveumlIgrave+EacuteltEumlETHshyETHEacuteshyOacuterIgrave5euml1ONtildeFETH32EacuteltOacuteEacute10wETH9Igrave Ntilde=KETH3gt+ltIgrave=EacuteshyOacuteshyETHEacute1EgraveMJ[P[]NPf[SX H MQsYampKNih H QcY H [aumlbn[]ZOslashK-j H J H MeJ(JkWKhZJUYZYZQc[]Oaelig[SX H MeJuUPJUfc[BbLQ H mUPJUb H [PheumlwWMQcbdMregZaringN`PJUY H MeJUacutebLjehYUPJJUP[]fVUPJOtildeNPYXiacuteNPY H NPYFKEgrave[]YZYZQRcent-fRJ H [WNih^Y(NZaringQcOQCZIacutejFZ[SX H MeJaeligbnhQ H JLhdQR[]Oumlocirc^KO`[Ph^eJLh H [ ^JU^jbnJ H MJyUPJUfR[WbLQ H mwUPJUb H [PhOtilde[SX H MeJaeligNPb H QVUPJbn[]O H []jehQXhZ[]Z H MeJF^eJLhQVUiN H QVUPJ0[SX H MeJNtildebnhQ H JLhQR[]OOeWFJMNUPJ H [5Z N`PJFNiKKEgraveJUNih H MeJUPJUfR[WbLQ H moUPJUb H [PhUacuteQcO H MJTfcNPY HH WNtilde[ ^e[]ZaringNPQcOaQcO H J[PhdNPfcY(centm JkWKhZJUYYZQcO[ H MeJZ NPYcentEgrave[]jO^NihYm QcO H J[PhNPfcY^FMQcYbLNPOaJUNPYZQcfVm centEgraveJauml^e[]OeJTjYZQcO[MJL[PhZJZigravefe-^[]ZaringNPQcOQcO H J[PhNPfcYbLNPOeumlNPfVWNmWYiexclcentEgraveJIacuteJkBKhJUYZYJU^ NPYcentEgrave[]jO^NihYm QcO H J[PhdNPfcY^gtiexcl[WFJUPJLheOXiacute[PhYZQCZOslashKfcQcbLQ H mSe-fcJ H jYbn[]OYZQc^eJLh H MeJaringbLNPYJUYgWMeJLhZJ H MeJUYJOslashfcNPY HH WNtilde[`QcO H J[PhdNPfcYOtildeNihZJJBjNPf H [currenLJLhZ[eOgraveWMQcbMaringMNiKKEgraveJUOYX[PhZOslash[]Y H hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhdQRK H [PhY^S5OH MN H bLNPYJSeNPbLbn[Ph^QsO[ H [ H MeJaeligQcOeJBjNPfcQ H m[SXvNPjbdMOgravemV G bdMOgraveWNih H currenSe H MeJXiacuteNPY H JUY H^eJUbnhJUNPYJa[SXocirc|aagravejOslashQcY [Pcent H NPQcOeJU^ XhZ[]Zecirca jOslashcentm bMe[B[]YZQcOF[beuml aacute ccedilyeacute WMQsbMfRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[aeligJUP[]fcj H Qc[]O JjN H QR[]OOaringaelig Yacuteaagravejaelig agrave aacuteFuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yuml uuml thorn otilde)yuml eacute aacuteccedilaumlordfegrave ETHeacute thorn timesOslash yumlauml aelig thorn timesOslash yumlauml acircccedilaumlordfegrave ETHeacute thorn UgraveUcircUacuteUuml yumlauml aelig thorn UgraveUcircUacuteUuml yumlauml lteacute a macr]jUcircX H MJ^eJUYZbnhQRK H [PhY$^e[TOe[ H ^eJLKEgraveJUO^times[]OregagravetaiacutehZJ[]QR[]OeV4QcO^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhYjeH MeJgiexcl hZJU^jbnJUY H [ H MeJordfXiacute[]fcfR[WQcO[aeligJkWKhZJUYZYQR[]OOaringaelig Yacuteaagravejaelig agrave aacuteigraveuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yumldn reguuml thorn otilde)yuml7 eacutelteacute a ]j

uumlnyacutenthornnyumll13YSordmY_FY

f $amp)(+-)013021+345627893lt=gt9A6CB JaeligbLNPO`O[ H QcbnJ H MN HH MeJtimes^eJLKEgraveJUO^eJUObnJauml[SX H MJIacute^eJUYZbnhdQRK H [PhY[]OwagraveeEgraveNPO^aY[ []OH MeJiexclbLjehYUPJJUP[]fcj H QR[]OOeQcO^jbnJUY0NP^^Q H QR[]ONPf H JLhlZaringYFQcO H MeJiexclJUP[]fcj H QR[]O JjN H QR[]O[SX H MJFNPb H QVUPJ(bn[]O H []jeh^SMeJNP^^Q H QR[]ONPf H JLhZaringYQX[]jO^IacuteQcOoa macr]jbLNPOOe[ H hZJUNP^QsfVmcentEgraveJtimes[Pcent H NPQcOeJU^ WMJUO H MeJOslash^mBONSZaringQcbLNPfampYZbMJZOslashJaringQcYOtildeQcO H hZ[W^jbnJU^eumlNX H JLh H MeJOslashbn[]ZaeligVKj H N H QR[]Oa[SX H MeJaelig^eJLhQVUiN H QVUPJaeligjYZQcO[o0jfcJLhVA9N[PhNPOF[PJIacuteJBjN H QR[]OY^MjYe-Q H QcY[SX=KhQZaringJOeJUbnJUYZYZQ H m H [TQcO H hZ[B^jbnJ H MeJ^mWONSZaringQsbLNPfeYZbMeJZaringJiexclQcO H [ H MeJbnhQ H JLhQR[]OQ H YZJUfVXiexclQcO[Phd^eJLh H [JUNPYZQsfVmsup1[PJ H H MeJUYJaNP^^Q H QR[]ONPf H JLhlZ Y QcO bLNPYJa[SXhJ[]QR[]OWV^eJLKEgraveJUO^JUO H ^JUYZbnhQRK H [PhdY^MNPO`BY H [ H MeJUYJeumlNP^^Q H QR[]ONPf H JLhlZaringYeWFJ`JUOYZjehZJH MeJordfXqNPY H JUY H JUP[]fcj H QR[]O [SX H MeJIacutebLjehYUPJ H [WNih^YiexclNZaringQcOQZIacutejZ [SX H MeJTbnhdQ H JLhQR[]OO^ JeumlbLNPO NPfcY[hZJZaringNihY` H MN H H MeJUPJUfR[BbLQ H m[SX H MeJ bn[]O H []jhQsOa macr]j bLNPOcentEgraveJ K=[]YQ H QVUPJ[PharingOeJ[]N H QVUPJS^|MQcYaeligNPO QcO H JLhZJUY H QcO[eumlKh[PK=JLh H mOacute[SXiexclhZJ[]QR[]OWVcent-NPYJU^NPb H QVUPJ bn[]O H []jehY^ q O H MeJ bn[]O H hNihYm H [ centEgrave[]jO^NihYmVcentNPYJU^7NPb H QVUPJ bn[]O H []jehdYehZJ[]Qc[]OWVcentNPYJU^7NPb H QVUPJbn[]O H []jehYOslashNPfcfR[WYZ[]ZOslashJKNih H Ytimes[SX H MeJ bLjehYUPJ H [YZMehQsO`WMQcfRJ[ H MeJLhY(JkWKNPO^O^FMjY H MeJaumlQcOQ H QsNPfcQVcurrenUN H QR[]O QcYfRJUYYbn[]OY H hNPQsOeJU^O^^ macr^iexclEacuteltIacuteETHNtildeFETHEacuteshyOacute Eacute10wETH9IgraveumlIgravesup1+shyEacuteltEumlETHETH3EacuteshyOacuterIgrave5euml1ONtildeFETH32EacuteltOacute0EacuteltEgravexIcircEacuteshyIacute5IgraveIgrave2shyNtildeshyIacuteEumlOgraveIgraveIcirclaquoEacute10C8ltIgraveIcircd=KEgrave(ETHEacuteltEgraveIcircMJu[P[]NPf[SX H MQsY$KNih H QsY H [timesbn[]ZaringKj H J H MeJiexclJUP[]fcj H QR[]O JjN H QR[]Oaring[SX H MeJNPb H QVUPJbn[]O H []jehOcircXiacute[Ph0Y[]ZOslashJ(JkeNSZOslashKfcJUY$[SX-hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhY^SgJ H jY H N`PJY[]ZaringJT^eJUYZbnhQcK H [PhY(^eJLKEgraveJUO^QsO[aelig[]O H MeJyZOslashJUNPOBSOtimesOslash [Phiexcl[]O H MeJgUiNihQcNPObnJjuFtimesOslash [SXH MeJOtildeJUP[]fUBQcOF[OslashhZJ[]QR[]OwOumlcopytimesOslashaagravejaringEFFG FFH SOtimesOslashKaagravejumlaacute iacute $ w$ thorn yuml Otilde atilde auml WiexclQ H M icirctimesOslashaacute w$ thorn yuml atilde aumlu centtimes Oslash aagravejsup1aacute iacute $ w$ thorn yuml aOtilde SOtimes OslashKaagravejj cent atilde auml^ macr^f^iumlordfcentltshyltAringordfregethIumlIgravecurrenRAringcentmicroETHfrac34IumlltlaquomicroRreglaquoNOacute]currenRlaquosectsup1jCcedilR RAringordfregL Rlaquo3shy JTbdMe[B[]YJ H MeJgXiacute[]fcfR[WQcO[OslashYJ H [SX^eJUYbnhQRK H [PhYaring

uuml thorn UgraveUcircUacuteUuml yuml ^e[BJUYOe[ H ^eJLKEgraveJUO^[]Owagraveuuml thorn timesOslash yuml aacutecntildeaLuOcenttimes Oslash j a zSjWMJLhZJampntildeaOgravejQsYNOslashKEgrave[]YZQ H QVUPJiexclXqjOb H QR[]O[SX$bLfcNPYYograve aj^MQcYiexclUPJUfR[WbLQ H mumlUPJUb H [PhOslashQcYaumlbn[]ZaringKj H JU^centmeumlhZJLKfcNPbLQsO[ H MeJ H JLhZaringYauml[SXga jgWQ H MH MeJUQch$JkBKhJUYZYZQR[]OY^ J hY H JkWKhZJUYZY H MeJ^eJUYZbnhQcK H [Ph|uuml thorn timesOslash yuml NPYyNTbn[]ZTcentQsON H QR[]O[SXamp^e[]ZaringNPQcOY(QcO H J[PhdNPfcYaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacutemiddot thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn timesOslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejjaacutecntildeoacute agrave thorn timesOslash yuml aagravejagrave thorn timesOslash yumlcent aagravejfocirc a i]j

uumlnyacutenthornnyumll13YSordmY_FPa

yenKbrvbarsect =4 acirc $ fzWMJLhZJSaring EFFG FFH agrave thorn timesOslash yuml aagravejpoundaacute w$ thorn yuml aOtildegta2atildeltszligaumlj SOtimes OslashaagravejjUcirccent atilde aumlagrave thorn timesOslash yumlcent aagravejpoundaacute w$ thorn yuml atilde auml a h]j O^ H MBjYaring aelig thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacuteacircaOtildeKa2atildeshyszligaumlFj S timesOslash aagravejjUcirccentaelig thorn timesOslash yumlcent a2atildeshyszligaumlKszligYagravej|aacute f ad s j Y5XiacuteNihaumlNPY H MeJOslash^e[]Z NPQcO`QsO H J[PhNPfsYUacute[SX H MeJOslash^eJLhQVUiN H QVUPJaelig[SX H MJXqjOb H QR[]OY aelig thorn timesOslash yumlaumlNihZJaumlbn[]ObnJLhOeJU^OeFWFJauml[Pcent H NPQsOOaringEFFFG FFFH w5$ thorn yuml frac14ltotildeouml $_divideoslashfrac14 atilde aumlordmaacute frac14ltugrave $frac14 w$ thorn yuml aOtildeKa2atildeshyszligaumlFj SOtimesOslashKaagravejj atilde aumlaacute sw5$ thorn yuml frac14ltotilde ouml $_divideacircfrac14 atilde aumlordmaacute s adfjMJ H JLhZaringY eacute thorn timesOslash yumlauml NPfcY[aringMNUPJ H [ cent=Jaumlbn[]ZaringKj H JU^OeNPO^tWNtildeJg[PJ H aringEFFFG FFFH eacute thorn

timesOslash yuml aacute w$ thorn yuml uacute ouml $_divideacircntilde raquo7ucirc uacute ouml $_divideoslashuacute ouml $_divideacircyacuteuuml atilde aumlaacutecntilde raquo aLu centtimesOslash jeacute thorn timesOslash yumlcent aacute w$ thorn yumlBthorn uacute ouml $_divideoslashthorn uacute ouml $_divideacirc yuml acirc ntilde raquo ucirc uacute ouml $_divideoslashuacute ouml $_divideacirc uuml atilde aumlregaacute u centtimes Oslash ntilde raquo aLu centtimes Oslash j

G QsObnJ H MeJOslash^e[]Z NPQcO`QsO H J[PhNPfsYiexcl[SX frac14ltotildeouml $ordfdivideoslashfrac14 NPO^ frac14ltotildeouml $_divideacircfrac14 NihZJaeligJBjNPf H [currenLJLhZ[poundadfjeWFJOtildebLNPO ^QRhZJUb H fVm bn[]ZOslashKj H J H MeJiexclUPJUfR[WbLQ H mregUPJUb H [Ph[SX H MeJOtildeNPb H QVUPJTbn[]O H []jehuXiacutehZ[]Za macr]jNPO^WNtildeJyO^Oaringaelig Yacuteaagravejaelig agrave aacuteuumlgtthorn timesOslash yuml uumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn otilde)yuml dacute uumlgtthorn otilde)yuml eacutentilde raquo aLu centtimes Oslash jaaOtilde SOtimesOslashj cent u centtimesOslash jcedilQeacute ad j5Otad jeOgraveWFJbLNPOaringhJZaringNihY` H MeJ(KhZJUYJUObnJ[SX H MJNP^^Q H QR[]ONPf H JLhlZntilde raquo aLuOcenttimesOslash jaaOtilde SOtimesOslashj cent u centtimesOslash jeacuteacirc^^ macr^ ^iumlordfcentltshyltAringordfregethIumlIgravecurrenRAringcentmicroETHfrac34IumlltlaquomicroRreglaquoNOacute]currenRlaquosectsup1jpoundn Rlaquo JTbdMe[B[]YJ H MeJgXiacute[]fcfR[WQcO[OslashYJ H [SX^eJUYbnhQRK H [PhYaring uuml thorn UgraveUcircUacuteUuml yuml ^e[BJUYOe[ H ^eJLKEgraveJUO^[]Owagraveuuml thorn timesOslash yuml aacutecntildeaOtilde S timesOslash aagravejj adS]j

uumlnyacutenthornnyumll13YSordmY_FPo

fi $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJampntildeaOgravejQsYNOslashKEgrave[]YZQ H QVUPJiexclXqjOb H QR[]O[SX$bLfcNPYYograve aj^ YKhZJUWQR[]jYZfVmSe H MeJlaquoUPJUfR[WbLQ H mfrac34UPJUb H [PhTQcYbn[]ZOslashKj H JU^eumlcentmhZJLKfsNPbLQcO[ H MJ H JLhZaringY[SXua jcopyWQ H M H MeJUQRh(JkWKhZJUYZYZQc[]OY^FMeJauml^JUYZbnhQRK H [Ph uuml thorn timesOslash yuml QcY(JkWKhZJUYZYJU^centmKaringuuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacutei thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn times Oslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejjaacutentildeoacuteOtilde agrave thorn timesOslash yuml aagravejagrave thorn timesOslash yumlcent aagravejfocirc adj

WMJLhZJSaring EFFG FFH agrave thorn timesOslash yuml aagravejpoundaacute w5$ thorn yuml Otildegta2atildeltszligaumlj atilde aumlagrave thorn timesOslash yumlcent aagravejpoundaacute w5$ thorn yuml atilde auml adSmacr]j O^ Y[aring aelig thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejOcircaacuteegraveOtildegta2atildeltszligaumljaelig thorn timesOslash yumlcent a2atildeshyszligaumlKszligYagravejOcircaacute f adS]jG QsObnJ H MeJordfXiacutejOb H QR[]OY aelig thorn timesOslash yuml NPO^ aelig thorn timesOslash yumlcent ^e[aringO[ H ^eJLKEgraveJUO^[]OtagraveeFWFJTMNUPJSaringEFFFG FFFH w$ thorn yuml frac14ltotilde5ouml $ordfdivideoslashfrac14 atilde aumlregaacute s

w$ thorn yuml frac14ltotilde5ouml $ordfdivideacircfrac14 atilde aumlregaacute s ad]zSjMJ H JLhZaringY eacute thorn timesOslash yumlauml NihZJ H MJUObn[]ZOslashKj H JU^eNPO^WFJauml[Pcent H NPQcOOaringEFFFG FFFH eacute thorn

timesOslash yuml aacute w$ thorn yuml thorn uacute ouml $ordfdivideacircntilde raquo7ucirc Otilde uacute ouml $ordfdivideoslashuacute ouml $ordfdivideacircyacuteuuml atilde aumlaacute thorn iacute $ w$ thorn yuml ntilde raquo aOtilde SOtimesOslashj atilde aumleacute thorn timesOslash yumlcent aacute w$ thorn yuml uacute ouml $ordfdivideoslashthorn uacute ouml $_divideacirc yuml acirc ntilde raquo ucirc Otilde uacute ouml $ordfdivideoslashuacute ouml $ordfdivideacirc uuml atilde aumlordmaacute ugrave $iacute $ w$ thorn yuml ntilde raquo aOtilde SOtimesOslashj atilde auml JUacutebLNPO H MeJUObn[]ZOslashKj H JUacute^QRhZJUb H fm H MJ_UPJUfR[WbLQ H mUPJUb H [Ph[SX H MeJUacuteNPb H QVUPJOtildebn[]O H []jhXiacutehZ[]Zigravea macr]j(NPO^WNtildeJyO^Oaringaelig Yacuteaagravejaelig agrave aacuteuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yumldacute uuml thorn otilde)yuml eacute aOtilde SOtimesOslashjicircFtimesOslash $ thorn yuml ntilderaquo)aOtilde SOtimesOslashjmiddotQeacute adSi]j

5O H MeJtimesKNih H QsbLjfcNihiexclbLNPYZJIacute[SXIcircntildeaOgravejuaacuteOslashScenteKWFJtimesMNUPJnntilde raquo aOgravejcopyaacute NPO^ H MeJLhZJXiacute[PhZJSeH MeJiexclNP^^Q H QR[]ONPf H JLhlZaringYebn[]ZaringQcO[gXiacutehZ[]Z H MeJ UiNihQcN H QR[]O [SX H MeJiexcl^eJUYbnhQRK H [PhYOcircWQ H MagraveeNihJJjNPf H [gcurrenLJLhZ[^[WNtildeJUPJLheWQsOordmZOslash[]Y H bLNPYZJUYe H MQsYyNP^^Q H Qc[]ONPf H JLhlZoslashQsYyOe[ H

uumlnyacutenthornnyumll13YSordmY_FPy

yenKbrvbarsect =4 acirc $ fhcurrenLJLhZ[^ not [PhaeligJkeNSZOslashKfRJSeampQVXUgraventildea]jaacute yuml Wiexcl cent eshyWiexclQ H MN`KEgrave[]YZQ H QVUPJ bn[]OY H NPO H eQWFJMNUPJSaring

ccedil aacuteFuumlgtthorn timesOslash yuml uumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn otilde)yuml uumlgtthorn otilde)yuml eacute aOtilde SOtimesOslashjicircFtimesOslash $ thorn yuml aOtilde SOtimesOslashj IcircAumlaOtilde SOtimesOslashj cent adSh]j^ ^~IacuteFEumlIgraveFIacute5IgraveFOacuteETHNtildeFETHEacuteshyOacuteAgraven13ETH9 ETH9IgraveumlEumlIgravesup1+ltIgraveFEumltIcircIgraveFETHbIacute5IgraveFETH9shyEacute18 YXqNih0NPY H MeJOBjFZOslashJLhdQcbLNPfeQZOslashKfcJZOslashJUO H N H Qc[]OtimesQsYybn[]ObnJLhOeJU^eSWNtildeJbLNPOZOslash[W^eJUf H MeJNPb H QVUPJaumlbn[]O H []jeh_WQ H MNPOJkBK-fcQcbLQ H KNihNSZOslashJ H JLhdQVcurrenUN H QR[]ObaN[PhNPO[]QcNPOXiacute[PhlZtimesjfcN~VH QR[]OKjaelig[Ph NPO QCZOslashKfcQcbLQ H []OeJraNtildejfRJLhQsNPO Xiacute[PhlZIacutejfcN H QR[]Ogtj^ G JLJra G J H MQcNPOOe5fhSh s jNPO^egraveaJUfcQcO[PJ HH J NPO^ _a[]O H N[]ON H e sSs fjX[PhaeligNPOQcO H JLhZJUY H QcO[eumlbn[]ZOslashKNihdQcY[]OcentEgraveJ H WFJLJUO H MeJ H WNtilde[ZOslashJ H M[B^Y^ iexclO[ H MeJLhOtildeQcO H JLhJUY H QcO[aringhJUBQRJW[]O H MeJtimes^Q=JLhJUO HZOslashJ H M[B^Y[SX$NPb H QVUPJIacutebn[]O H []jehQcY(Kh[PK=[]YZJU^ QcOpoundaw_[]O H N[]ON H J H NPfd^Ve sSs fj^iexclJLhZJSeWFJaumljYJ H MeJaumlfRJUPJUfYZJ H ZOslashJ H Me[W^ NiKKhZ[]NPbdM KhZ[PKEgrave[]YJU^centm q YMeJLhNPO^G J H MQcNPOa q YZMJLh NPO^ G J H MQcNPOe fhSiSi]j centj H hJ[]QR[]OWVcentNPYJU^ NPb H QVUPJeumlbn[]O H []jehdYZaringNmNPfcYZ[ centEgraveJQZOslashKfcJZOslashJUO H JU^7centmjYQcO[`XNtildeV4YK-fcQcOeJUYXiacute[PhaeligNPOJkWKfcQsbLQ H K-NihNSZOslashJnVH JLhQcurrenUN H QR[]O ayhZJUbLQc[]Y[ NPO^XNihfcNPj^Oe sSs fj^shyMJ`PJmeumlQc^eJUN [SX H MeJOslashfRJUPJUfampYJ HZOslashJ H M[B^QsY H [ QcO H hZ[W^jbnJaumlNPO`NPjkWQsfcQcNihYmXiacutejOb H QR[]O l a2atildeltszligaumlgtszligYagravejYZjbdM H MN H YacuteaagravejQcY H MJtcurrenLJLhZ[OacutefRJUPJUfYJ H [SX l ^OcircMJXiacutejOb H QR[]O l QsYaelig[SX H JUO bMe[]YJUO H [centEgraveJ H MeJYZQ[]OeJU^ ^QcY H NPObnJordfXiacutejOb H QR[]O[SXQYacuteaagraveje-NPO^ QsY H MeJUObdMNihNPb H JLhQVcurrenLJU^acentmKaring

YacuteaagravejOcircaacute a2atildeltszligaumljPO l a2atildeshyszligaumlKszligYagravejaacute s a2 s jMQcYOcirc0jfRJLhQcNPOordmXiacute[PhlZtimesjfcN H QR[]O KhZJUYZJUO H YFYJUPJLhNPfEgraveNP^UiNPO H N[PJUYga G J H MQcNPOOeKfhShS]j^not QRhY H fVmSe H MeJabLjehYUPJ l ZaringNmcenthJUN`[PhoZOslashJLhY[PJNPY H MJXiacutejOb H QR[]O l JUP[]fUPJUYeNPO^ H [PK=[]fc[S[]QcbLNPfbdMNPO[PJUYFNihZJ H MBjY$JUNPYZQsfVmOslashMNPO^fRJU^^ G JUbn[]O^fVmSe H MJJUP[]fVUWQcO[XqjOb H QR[]O l a2atildeshyszligaumlKszligYagravejNPfVWNmWY(hZJZaringNPQcOY(NlaquoXiacutejOb H QR[]O NPfcfR[WQcO[timesJltz bLQRJUO H OBjFZOslashJLhVQcbLNPfFYZbdMeJZOslashJUY^OcircMQRh^fVmSe H MeJ[PJL[]ZOslashJ H hQcb KhZ[PKEgraveJLh H QcJUYT[SX H MeJ bLjehYUPJSe$fcQV`PJ H MeJbLjehlU~N H jehJ NPO^ H MeJOslashOe[PhlZ NPfshyUPJUb H [PhordfJUfs^eacute e=bLNPO centEgraveJIacuteJUY H QZaringN H JU^euml^QRhZJUb H fmXiacutehZ[]Z H MeJTfcJUPJUfgYJ H XqjOb H QR[]Oaring aacute V ucirc l l uuml NPO^ eacuteecircaacute l l a2FfjMJJUP[]fsj H QR[]O JBjN H QR[]O H MeJUO centEgraveJUbn[]ZOslashJUYaringaelig l aagravejaelig agrave aacuteegraveccedilacute l a2 jMJregUPJUfR[WbLQ H msup1XiacutejOb H QR[]OxccedilEQcYIacutebn[]ZaringKj H JU^7[]OfVm[]O H MeJbLjehYUPJYacuteaagravejaumlcent-j H WFJbLNPO Jk H JUO^ Q H YFJkBKhZJUYZYZQR[]O H [ H MeJiexclWMe[]fRJUacuteQZaringN[PJOtilde^e[]Z NPQcOoOumlordf^[OslashQZOslashKfRJZaringJUO HH MeJIacutefRJUPJUf9YJ H ZOslashJ H Me[W^OeY[]fsj H QR[]OYuZtimesjY H centEgraveJgXiacute[]jO^ H [ bLQRhbLjZyUPJUO H Kh[PcentfRJZaringY

uumlnyacutenthornnyumll13YSordmY_FP

s $amp)(+-)013021+345627893lt=gt9A6CBbn[]ZaringQsO[ Xh[]Z H MeJpoundXqNPb HH MN H`H MeJYZQV[]OeJU^ ^QcY H NPObnJumlXqjOb H Qc[]O l QcYaOe[ H NY[]fsj H QR[]O[SX H MeJyiexcl a2 jeEgraveYJLJa []ZOslashJUYNPO^ not NPjF[PJLhNPYe sSsSs jyacuteXiacute[Phiexcl^J H NPQcfcY^5Oaelig[]jehWF[PhY`gte H MJuXiacutejOb H QR[]O l QcYamphZJUQsOQ H QcNPfcQcurrenLJU^TY[ H MN H Q H hZJZaringNPQcOYampNOtilde^QsY H NPObnJXqjOb H QR[]OenYZJLJ5aq jecentEgraveJLh H NPO^gcOtilde[PhdOeKhZ[PcentY H e sSs fJLcenthZJUjFUPJSe sSsSs jOXiacute[Ph^J H NPQcfcY[]O H MJOtildehZJUQcOQ H QsNPfcQVcurrenUN H QR[]O JBjN H QR[]OO^5Oeuml[Ph^eJLh H [QCZOslashKhZ[UPJaringOjFZaringJLhQcbLNPfJltz bLQRJUObmSeOWFJaringbn[]ZOslashKj H J H MeJOslashJjN H QR[]O[]O NIacuteONihhZ[Wcent-NPO^aringJUObLfc[]YZQcO[ H MJiexclfRJUPJUf s [SX H MeJUacutefRJUPJUf-YJ H XqjOb H Qc[]OO^ JUacuteNPfcY[jYZJZtimesjf H QRhZJUYZ[]fcj H QR[]O H JUbdMOQBjeJUYcentmZaringN`BQsO[ H MeJFNPb H QVUPJ(bn[]O H []jh$JUP[]fVUPJcopyhY H[]ONOslashfc[W hZJUYZ[]fcj H QR[]O QZ N[PJS^FMeJordfONPfbn[]O H []jeh[Pcent H NPQcOeJU^Xiacute[Ph H MQcYhJU^jbnJU^QZ N[PJaumlQcY H MeJUOjYJU^ NPYNPOQsOQ H QcNPfEgravebLjehYUPJordfXiacute[Ph H MJOtildehZJUNPfgYZQVcurrenLJaumlQCZaringN[PJS^

EparaacuteAgravegtmicrosup1acuteIKJcedilJT2MgtI MraquowMgtmicrosup1MAgravegtacuteIltacuteMgtPltAtilde iquest acuteAgravegtT2MKIshyAtildeAcirccedilAtildeacuteNicircMgtI cedilAEligMgtmicroOcircacuteOgraveJTCJT13MKI sup2OcircacuteJordfsacuteacuteI Jfrac14ltacutegcedilFLT2cedilIshyROgraveacuteAtilderaquoAMLBqoLacute13AtildeR]cedilsup32acute GmicrobcedilAgraveacuteAtilde5O H MQcYUacuteYJUb H QR[]OOeOWFJOslashKhZ[PKEgrave[]YJaeligY[]ZOslashJOslashhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhY H [YJ[iVZOslashJUO H M[]ZOslash[S[PJUOeJL[]jYiexclhZJ[]QR[]OYiexcl[]Ofrac34[PhZJmBYbLNPfRJIacuteQZ N[PJUY^gtMJUYJIacute^eJUYbnhQRK H [PhYiexclNihZJcentNPYZJU^[]O H MJZaringQcOQZaringQVcurrenUN H QR[]O [SX H MeJU~NihdQcNPObnJUYauml[SX H MJ H WF[`bn[]OYZQc^eJLhZJU^OacutehZJnV[]QR[]OY^ 5O H MJ7YJUbn[]O^ K-Nih H e H MJQZOslashKEgrave[Ph H NPObnJOacute[SX H MeJNP^^Q H QR[]ONPf H JLhZaringYebn[]ZaringQsO[XiacutehZ[]Z H MeJiexclU~NihdQcN H QR[]O [SX H MeJUacute^eJUYZbnhQcK H [PhYWQ H M H MeJiexclJUP[]fUBQcOF[IacutehZJ[]Qc[]OYeQcY9MQV[]MfcQ[]M H JU^O^ G QCZOslashKfRJJkWNSZaringKfRJUY9YMe[W H MeJ0QZOslashKEgrave[Ph H NPObnJ$[SX H MeJUYJ0NP^^Q H QR[]ONPfH JLhlZ Y H [ NPbMQRJUPJ H MeJOtildeJkWKEgraveJUb H JU^aYJ[]ZaringJUO H N H QR[]O^^f^laquoIgraveIcirc=KEgrave(FETHOEacuteltEgraveIcircEcircgtNtildeltIcircIgrave8 EacuteshyOacute ETH9Igravek+NtildeshyEgrave13NtildeshyOacute=KIgraveC0EacuteshyEgraveh4ltEgraveOIgravesup1QIcirc=NtildeltEumlOgraveIgrave2Iacute Ntilde4ltIgraveIcircMJQcO H JUOYZQ H mregXiacute[Phu[PhZJmWYZbLNPfRJaumlQZ N[PJUY(QcYhZJLKhZJUYZJUO H JU^centm NlaquoXqjOb H QR[]OOtilderegaringOgraveOumlOtilde 13ordfcentwntilde Otilde 13laquo^ JaKhZ[PKEgrave[]YJ H [bZaringQcOQZaringQVcurrenLJ H MeJU~NihdQcNPObnJUYOslash[SX H MeJ H WF[bn[]OYZQc^WVJLhZJU^ Me[]Zaring[S[PJUOeJL[]jY hZJ[]Qc[]OY QcO [Ph^eJLh H [YJ[]ZOslashJUO H H MeJZ^uMJXiacute[]fcfR[WQcO[^eJUYbnhQRK H [PhY(NihJaumlYZj[S[PJUY H JU^OaringEFG FH uuml thorn UgraveUacuteUuml yuml aacutecntildeaLuOcentUgraveUacuteUuml juuml thorn times Oslash yuml aacutecntildeaLuOcenttimes Oslash juuml thorn otilde)yuml aacutecb a2Ograve]jWMJLhZJjntildea]jQcYNOslashKEgrave[]YZQ H QVUPJordfXiacutejOb H QR[]O [SX$bLfcNPYZYEacuteograve aOtilde 13yj(NPO^kb`NOslashKEgrave[]YZQ H QUPJaumlbn[]OWVY H NPO H ^MJTbn[]ZOslashKj H N H Qc[]O[SX H MeJUPJUfR[BbLQ H mUPJUb H [PhaumlQcY^JU^jbnJU^tXiacutehZ[]Z H MeJIacutebn[]ZOslashK-j H N~VH QR[]O`[SX H MeJaelig^eJLhQVUiN H QVUPJIacute[SX H MeJtimesbnhdQ H JLhQR[]Opoundocirc7^eJUPJUfR[PKEgraveJU^ QcO G JUb^^ macr^feWMQsbMfRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[aeligJUP[]fcj H Qc[]O JjN H QR[]OOaringaelig Yacuteaagravejaelig agrave aacuteethntildeaLu centtimesOslash j ntildeaLu centUgraveUcircUacuteUuml jb ntilderaquo)aLu centtimesOslash jaaOtilde S timesOslash j cent u centtimesOslash j ntilde raquo aLu centUgraveUcircUacuteUuml jaaOtilde SUgraveUcircUacuteUumlj cent u centUgraveUacuteUuml jIcirc13eacute a2Sj

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ fMJiexclYZQcOF[]fRJiexclK-NihNSZOslashJ H JLhcopyWNtildeJOtildeOeJLJU^ H [aringNP^~ZjY H QcY H MeJUacuteYYZOslash[B[ H MQcO[timesKNihNSZOslashJ H JLhb^5OregXqNPb H e H MeJ X [W ethb MNPY H MeJiexclKhZ[PKEgraveJLh H QRJUYNtilde[SXYYZOslash[B[ H MQcOF[IacutecentEgraveJUbLNPjYJOtildeQ H ZOslash[UPJUYH MeJUacutebLjehYUPJUacuteQcO H MeJUacute^QRhZJUb H QR[]O [SX9Q H YfRJUOF[ H MregXqjOb H QR[]ONPfQa G Qs^^QBQeJ H NPfd^VeOfhShS]j^^ ^~IacuteEacuteltEgraveETHOgraveNtildeltOacute=KIgravefrac34Eacute10frac34ETH9Igrave Ntilde8182ETHEacuteshyOacuteNtildeshyEumlETHIgraveFEgraveOIacute5Icirc5O[Ph^JLh H [7JU~NPfcjN H J H MeJ QZOslashKEgrave[Ph H NPObnJ`[SX H MeJ`NP^^Q H QR[]ONPf H JLhlZaringYX[Ph H MeJYJ[]ZaringJUO H N H QR[]OeuWNtildeJpoundZaringN`PJ H MJeumlNPb H QUPJbn[]O H []jehaJUP[]fVUPJ H MehZ[]j[]M H MJ iexcla2SjeQsObLfcj^QsO[ H MeJaumlNP^^Q H QR[]ONPf H JLhlZaringY^ q O H MeJUacute[ H MeJLhMNPO^OeWNtildeJaumlNPfcYZ[ZaringN`PJQ H JUP[]fUPJfrac34WQ H M H MeJwXiacute[]fcfR[WQcO[ WhZ[]OF[JUP[]fcj H QR[]OJjN H Qc[]O H MN H ^e[JUY Oe[ HQcObLfcj^eJ H MeJaumlNP^^Q H QR[]ONPf H JLhlZaringYaringaelig Yacuteaagravejaelig agrave aacuteethntildeaLu centtimesOslash j ntildeaLu centUgraveUcircUacuteUuml j`b Qeacute iuml a2Ogravemacr]jnot [Ph H MeJOtildeJkWKEgraveJLhQZOslashJUO H YeWFJ H N`PJntildeaOgravejOcircaacute ILK KafcediliexclOgravejWMQsbM[]QVUPJUYntilde raquo aOgravejaacutefdOafcedil]j(NPO^ H MeJgUiNPfcjeJOtilde[SX H MeJaumlKNihdNSZOslashJ H JLhEacutebaQcY(YJ HH [frac34f s ^OcirckBKEgraveJLhQCZOslashJUO H Y NihZJ KEgraveJLhYX[PhZOslashJU^ []O NYmWO H MJ H Qcb`QCZaringN[PJumlZaringNP^eJeumljeK [SXTNPO

Me[]Zaring[S[PJUOeJL[]jYYYBjNihZJ[SX9QcO H JUOYZQ H mwf s []O NIacutecentNPbl`[PhZ[]jO^ [SX9QcO H JUOYZQ H mtf s ^ []NPjYZYZQsNPOOe[]QcYJUacute[SXUiNihQcNPObnJ s QcY(NP^^eJU^ H [ H MQcY(YmWO H MJ H QcbOtildeQZaringN[PJS^MeJOtildeJUP[]fcj H QR[]Oa[SX H MeJTNPb H QVUPJtimesbn[]O H []jehUacute^ehQUPJUOcentmpounda2SjQcYu[]QVUPJUO`QcO not QV[^ WMQcfRJ H MeJ[]OeJ`[Pcent H NPQcOeJU^ jYZQcO[ a2Ogravemacr]j QcYordm[]QUPJUO QcO not QV[^ ^ J bLNPO hZJZaringNihY`H MN H WMeJUO H MeJoiexclQsObLfcj^eJUY H MJ NP^^Q H QR[]ONPf H JLhZaringYe H MJ YYBjNihZJ QcYgWFJUfcfYJ[]ZaringJUO H JU^acirca not QV[^ ^bjeuWMeJLhJUNPYWiexclMeJUO H MeJ |iexclD^e[BJUY Oe[ H QsObLfcj^eJ H MeJUYJNP^^Q H QR[]ONPf H JLhZaringYwWFJ7[Pcent H NPQcO N bLQRhbLfcJOacuteQcOY H JUNP^ [SX H MeJ7JkBKEgraveJUb H JU^YYBjNihZJa not QV[^ ^bj^MeJUYJhZJUYZjf H YNtildebLNPOcentEgraveJcentEgraveJ HH JLh(jO^eJLhY H [[W^WMQcfRJNPONPfmcurrenUQcOF[ H MeJiexclUPJUfR[WbLQ H mUPJUb H [PhYUacute[SXNtildeJUNPbMJUP[]fsj H QR[]O JjN H QR[]OO^ Jaringbn[]ZOslashKNihZJ H MeJ H WF[ JUP[]fcj H QR[]OYiexcl[SXH MeJlaquoUPJUfR[WbLQ H mwUPJUb H [PhYauml^jehQcO[ H MeJaeligKhZ[PKN[]N H Qc[]Oeuml[SX H MeJOslashbLjehYUPJwa2WiexclQ H Me[]j HH MeJcentEgrave[]jO^NihYmVcent-NPYJU^ H JLhlZb j^MeJ(JUP[]fcj H Qc[]OOslash[SX H MeJNSZOslashKfsQ H j^eJ[SX H MeJyacuteUPJUfR[Wb|VQ H mregUPJUb H [Ph[SXQ|iexcla2SjFQsY[]QUPJUO QcO not Q[aqYj^ ^ ^OecurrenJSe Xfrac34]eWMQsfRJ H MeJOtildeNSZOslashK-fcQ H j^eJ[SX H MeJUPJUfR[WbLQ H mwUPJUb H [PhOtilde[SX||iexclacirca2Ogravemacr]jiexclQcY []QUPJUO`QcO not QV[aqYj^ ^ ^OecurrenJSe Xfrac34]^ JOslashbLNPO[PcentYZJLhYUPJ H MN HaringH MeJUPJUfc[BbLQ H msup1WiexclQ H Me[]j HaeligH MeJNP^^Q H QR[]ONPf H JLhlZaringY QcYaeligNbn[]OY H NPO HWMJLhZJ [PcentUWQR[]jYfVm H MJaQZaringN[PJfrac34XJUN H jehJUY ^e[OacuteO[ H NiKKEgraveJUNih^ q O H MeJabn[]O H hNihYmH MeJaumlQCZaringN[PJordfXJUN H jhZJUYuWFJUfcfNiKKEgraveJUNihQcO H MeJordfUPJUfR[WbLQ H m QcObLfcj^QcOF[ H MeJaumlNP^^Q H QR[]ONPfH JLhlZ Yya not QV[aqYj^ ^ ^OecurrenJSe Xfrac34jiexclNPO^ Y[ H MeJaumlYljNihJTbLNPO centEgraveJordfWNtildeJUfsfYJ[]ZOslashJUO H JU^O^MeJyKhZJUWQR[]jYEgravehJUYZjf H YgYMe[W H MN H Q H QcY[SXeKhQCZOslashJ$OeJUbnJUYZYZQ H m H [ H N`PJQcO H [NPb|Vbn[]jO H0H MJNP^^Q H QR[]ONPf H JLhZaringYeWbn[]ZaringQcO[XhZ[]Z hZJ[]QR[]OeV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhYeQcO[Phd^eJLh H [ hZJUNPbdMaN H hdjeJgZaringQcOQCZIacutejFZ [SX H MeJaumlbnhQ H JLhdQR[]OO^

uumlnyacutenthornnyumll13YSordmY_F

S $amp)(+-)013021+345627893lt=gt9A6CBEIumlparaacuteAgravegtmicrosup1acuteIKJcedilJT2MgtI MraquoordfAEligMgtsup32MLwMKmicrobMgtAgraveacuteIshyacuteMgtPltAtilde iquest acuteAgraveKT13MKIshyAtildeAcirclaquocedilFAtildeacuteNicircMKIJfrac14ltacutepoundAEligMAringcedilFLT2cedilIltR]acuteHcedilJLTOcircfrac12sup3T13ROgravecedilJT2MgtI JMAgraverltcedilFR]acuteacuteJacuteR]JT2MgtIicircT2ItT2NQacuteM paraacutePshyacuteIltR]acuteAtildeMQcY0K-Nih H ^eJUNPfcYWQ H M H MeJOtildeYJ[]ZOslashJUO H N H QR[]O [SXMe[]ZOslash[S[PJUOeJL[]jY(hZJ[]QR[]OYQcOZtimesjfuVH QcYZK=JUb H hdNPfQZaringN[PJUY^ YNPOaJkWNSZaringKfRJSeWFJIacuteYZMe[W H MN HiexclH MeJTbn[UiNihQcNPObnJZaringN H hQVkbLNPOacent=JIacuteNUPJLhYm KEgrave[WFJLhYXqjf H [B[]f H [ YJ[]ZOslashJUO H Me[]Zaring[S[PJUOeJL[]jYbn[]fR[PhiexclhJ[]QR[]OY^F5OXqNPb H e H MeJtimes^eJ H JLhlZaringQsONPO H [SX H MeJTbn[U~NihQsNPObnJZ N H hQkKhZ[UPJUY H [ centEgraveJIacuteNaringhJUfRJU~NPO Hbn[]fR[PhaelighZJ[]Qc[]O7M[]ZOslash[S[PJUOeJUQ H msup1ZOslashJUNPYZjhZJZOslashJUO H a G NPO[SWQcOeJ NPO^r[PhdOeJSeufhShSi]j^_`QcOQZ QVcurrenUQcO[ H MQcYjNPO H Q H m ZOslashJUNPOY H MN H WFJwWNPO HH [^eJUbnhZJUNPYJ H MeJeumlbn[]ZaeligVKfcJkWQ H m[SXUacuteNeumlhZJ[]QR[]Oa hdNmJ H NPfd^Ve sSs fampN H JUjke sSsSs j^MQcY H [B[]fuZaringNmKhdNPb H QcbLNPfcfVm cent=JaumljYJU^X[Ph XiacuteNPbnJtimes^eJ H JUb H QR[]OaQsO QZaringN[PJaumlYJBjeJUObnJUY^macr^f^laquoIgraveIcirc=KEgrave(FETHOEacuteltEgraveIcircEcircgtNtildeltIcircIgrave8 EacuteshyOacute ETH9IgraveAgrave=Eacute3+NtildeshyEgrave13NtildeshyOacute=KIgravefrac34Iacute_NtildeFETHEgraveEcirc20EacuteshyEgrave=EacuteshyEumlEacuteshyEgrave2Iacute Ntilde4ltIgraveIcircMJQcO H JUOYZQ H mxXiacute[Ph bn[]fR[Ph QCZaringN[PJUYaringQcYOslashhJLKhZJUYJUO H JU^centm7NpoundXiacutejOb H QR[]OOtildeegravearingOumlOtilde 13ordfcent ntilde Otilde 13 WMeJLhZJ Otilde aacute Otilde szligYOtildeOgravecentszligYOtilde13ordf ^iexclXm NPONPfR[S[SmAumlWQ H M H MeJOacuteY H j^Fm Xiacute[Ph[PhZJmWYZbLNPfRJFQZaringN[PJUYeWNtildeJZaringQcOQCZaringQVcurrenLJ H MeJNtilde^J H JLhlZaringQcONPO H [SX H MeJFbn[UiNihQcNPObnJcopyZaringN H hQVk[SX H MeJTbn[]OYQc^eJLhZJU^hZJ[]Qc[]OY^ J5ZaringNmaringNPYYZjFZOslashJ H MN H JUNPbdM bn[]fR[PhFhZJ[]QR[]Oacute13 QsYOcircZOslash[W^eJUfcfRJU^OslashcentmOslashNg[]NPjYYZQcNPO^QsY H hQRcentj H QR[]Oeuml[SXyacuteZOslashJUNPOiexclSegraveaacute S szligPS cent szligPS NPO^7bn[UiNihQcNPObnJZ N H hQk5^MeJKh[PcentNicentQcfcQ H maring^eJUOYQ H moXiacutejOb H QR[]O QcYu[]QUPJUO centm H MeJgXiacute[]fcfR[WQcO[aeligJkWKhZJUYZYQR[]OOaring

$ampamp aOtildejOcircaacute fa )( j +cent aq^J H ayacutejj cent JkWK- f aOtilde Sltj thorn aOtilde Sltj a2Ograve]jG [eZaringQcOQZaringQVcurrenUQcOF[ H MJbn[U~NihdQcNPObnJuZaringN H hQktimes^eJ H JLhlZaringQcONPO H [SX-NPOtimesJUP[]fVUWQcO[hJ[]QR[]ONiKKEgraveJUNihY H [OslashcentEgraveJNtimeshZJUfcJU~NPO HH [[]f H [ordmZaringN`PJ H MQcYFhZJ[]Qc[]O bn[]OUPJLhY[PJ H [WFNih^Y H MeJbLfR[]YZJUY H Me[]ZOslash[S[PJUOeJL[]jYbn[]fR[PhiexclhZJ[]QR[]OO^9J H jY$Oe[ H J timesOslash NPO^0copyUgraveUcircUacuteUuml H MJbn[UiNihQcNPObnJ5ZaringN H hQcbnJUYy[SX=hJUYKEgraveJUb H QVUPJUfVmordmOuml timesOslash aagravejNPO^tOuml UgraveUacuteUuml aagravejaring

atilde aacute213 u Patilde u centatilde u atildeu cent atilde u centcentatilde u cent4atildeu5 atilde u5centatilde u54atilde67 a2zSj

WMJLhZJSaringEFFG FFH u times aumlatilde aacute iacutefaring w aring thorn yuml aOtilde times S times atilde jaOtilde auml S auml atilde j atilde aumlS times atilde aacute iacutefaring w aring thorn yuml Otilde times a2atildeltszligaumlj atilde auml WQ H M aacuteiVIgraveOacute[Ph Kf5

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ J [PcentUWQR[]jYZfm`MNUPJacuteu times aumlatilde aacuteu auml timesatilde ^shy9J H jYaumlO[ H J ^eJ H a atilde j H MJ ^eJ H JLhlZaringQsONPO H [SXH MeJaumlbn[U~NihdQcNPObnJZ N H hQkWiexclMQcbMJkBKhJUYZYZQR[]O QcY H MJgX[]fsfR[WQsO[aring

^eJ H a atilde jumlaacute u Patilde u centcentatilde u 4atilde u centatilde u atilde u cent4atilde u Patilde u cent4atilde u cent4atilde u centcentatilde u atilde u atilde u 4atilde u centatilde u centatilde a2Ogravei]jnot jOb H QR[]OY [SX H MeJeumlbn[UiNihQcNPObnJpoundZaringN H hQk ^eJ H JLhZaringQcONPO H YNihZJ jYJU^ NPY hJ[]QR[]O^eJUYbnhQRK H [PhY^ JIacutebMe[B[]YJ H MJordfX[]fcfc[WQcOF[aeligYZJ H [SX$^eJUYZbnhQRK H [PhYaringEFG FH uuml thorn UgraveUcircUacuteUuml yuml aacute98ordfaq^eJ H acopyUgraveUcircUacuteUumlAjjuuml thorn timesOslash yuml aacute98ordfaq^eJ H a timesOslash jjuuml thorn otilde)yuml aacuteOslashb a2Ograveh]jWMJLhZJ8ordfaOgravejFQcYNOslashKEgrave[]YZQ H QVUPJiexclXiacutejOb H QR[]O [SXampbLfcNPYZYograve aOtilde 13yjFNPO^Cb`NOslashKEgrave[]YZQ H QVUPJOtildebn[]OWVY H NPO H ^gJ H jYNtildeOe[W WhQ H J H MeJJUP[]fcj H Qc[]OaringJBjN H QR[]O [SX H MeJiexclNPb H QUPJbn[]O H []jehcentmbn[]ZOslashK-j H QcO[ H MJIacute^QEgraveJLhZJUO HH JLhlZaringYiexcl[SX_a j^J H NPQcfcYiexcl[SX H MeJIacutebn[]ZaringKj H N H QR[]O bLNPOcentEgraveJgXiacute[]jO^QsOaNiKKEgraveJUO^QVk X5^gtMJaumlJUP[]fcj H QR[]O`JBjN H QR[]O[SX H MJIacuteNPb H QVUPJaeligbn[]O H []jhQcY H MJgX[]fsfR[WQsO[aringaelig Yacuteaagravejaelig agrave aacute8gaq^eJ H atimesOslashjj 8ordfaq^eJ H a UgraveUcircUacuteUuml jj`b admacr s jlt8Icircraquodaq^eJ H a times Oslash jgt= ccedil A B egrave aOtilde S timesOslash jaOtilde B5 S BtimesOslash jB^eJ H aDC EBtimesOslash ja fj BGFH amp^eJ H atimesOslashj48 raquo aq^eJ H atimesOslashjj 8Icircraquodaq^eJ H a UgraveUacuteUuml jgt= ccedil I B egrave aOtilde Eacute S UgraveUcircUacuteUuml jaOtilde B S BUgraveUcircUacuteUuml jB^eJ H aDC JBUgraveUacuteUuml ja fj BKFH amp^eJ H a UgraveUcircUacuteUuml j48 raquo aq^eJ H a UgraveUcircUacuteUuml jjcedil13eacuteMJZaringN H hdQkLC JBatilde QsY ^JU^jbnJU^icircXh[]Z H MJeumlbn[U~NihdQcNPObnJbZaringN H hdQkM atilde centm YZjeKeVKhJUYZYZQcO[ H MeJ uuml UumlON hZ[WENPO^ H MeJ I UumlON bn[]fcjFZaringO^MeJeumlfcNPY H Xiacute[]jeh fsQcOeJUY [SX H MeJJBjN H QR[]ONihZJ H MeJOtildeNP^^Q H QR[]ONPf H JLhZaringY(bn[]ZaringQcO[XiacutehZ[]Z H MeJiexclU~NihQsN H QR[]O [SX H MeJOtilde^eJnVYZbnhdQRK H [PhYWiexclQ H Mordmagrave^ Y0Q H MNPYycentEgraveJLJUOOslashKhJUBQR[]jYZfVmTKhZ[UPJU^X[Ph[PhZJmWYZbLNPfRJiexclQCZaringN[PJUYeH MeJUYZJ H JLhlZaringYMNUPJ H [ cent=Jaumlbn[]OYZQc^eJLhZJU^ QsO[Ph^eJLh H [regZ N`PJ H MeJTNPb H QUPJTbn[]O H []jhbn[]OUPJLhY[PJ H [WFNihd^YNZ QcOQZtimesjFZ [SX H MJTbnhQ H JLhQc[]OO^macr^ ^~THORNUgrave2FIgraveFEgrave2Iacute_IgraveFOacuteshyETHOgraveNtildeshyEumlEgraveOIgraveIcircdEumlETHOIcircnot [Ph H MJ JkWKEgraveJLhQZOslashJUO H YeQWNtildeJ H N`PJCntildea]jordmaacute ILK Kaf[]jgWMQsbMsup1[]QVUPJUYnntilde raquo aOgravejaacutefdOafWOgravej(NPO^8ordfaOgravejaacute ILK KafIcirch cent juWMQcbdMt[]QVUPJUY8 raquo aOgravejaacute ETHOafIcirch cent j^ JbdMe[[]YZJ bbaacute f s ^QMeJaringbn[]fR[PhtimesYKNPbnJ YJUfcJUb H JU^QcYaQPszlig l szligicirclaquojeltWMeJLhZJwaOtilde aacuteRPordmjhZJLKhZJUYJUO H Y H MeJfsjFZaringQcONPObnJNPO^waOtildeOgravecent5aacute l j$NPO^frac34aOtildeS aacuteOslashicircj$hZJLKhZJUYJUO HyH MeJ H WF[bdMehZ[]ZaringQcONPObnJUY^ not [Ph H MeJbn[]ZaringKj H N H QR[]OOslash[SX H MeJuUiNihQcNPObnJSei[]Ofm H MeJfcjZaringQcONPObnJQcY(jYJU^O^

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CB5Oaring[Phd^eJLh H [aeligYJ[]ZOslashJUO H NPO Me[]ZOslash[S[PJUOJL[]jY0hJ[]QR[]OOeOgraveWFJiexclY H Nih H WQ H M NPO QcOQ H QcNPf

bLjehlUPJ0QcOYZQs^eJ H MJ0hZJ[]QR[]Oauml[SXWQsO H JLhZJUY H ^MeJybLjhYUPJ0QcY H MJUOTYZjeKK=[]YZJU^ H [JkWKNPO^jO H Qcf(Q H hJUNPbMeJUY H MeJ centEgrave[]jO^NihlmOacute[SX H MeJabn[]ObnJLhdOeJU^ Me[]Zaring[S[PJUOeJL[]jYaringhJ[]QR[]OO^MJtimesbLjehlUPJtimes^e[BJUYUacuteOe[ H [P[cent=JmP[]O^ H MJUYJaeligcent=[]jO^NihQRJUYiexclYZQcObnJSe=[UPJLh H MeJLhZJSe H MeJbnhQ H JLhQR[]OOacuteQsObnhZJUNPYJUYtimescentEgraveJUbLNPjYJ H MeJU~NihdQcNPObnJOcircu centtimesOslash [Ph H MeJ bn[U~NihdQcNPObnJtZaringN H hQVk^eJ H JLhZaringQcONPO H ^eJ H atimesOslashjUcirccentOtildeQsObnhZJUNPYJS^MeJaringNPfV[P[PhQ H MZEcentNPYJU^[]O H MeJ bn[UiNihQcNPObnJZaringN H hQVkeumlQcYaumlK=JLhlX[PhlZaringJU^euml[]ONPOQZ N[PJ [SX H MeJUBQs^eJL[`YJBjeJUObnJrnN`WQVmP[]peumlQcO[Ph^JLh H [euml^eJ H JUb HaeligH MeJYKEgraveJUN`PJLhUTYXqNPbnJS^gtMJaumlJUP[]fcj H QR[]O[SX H MJIacutebLjehYUPJIacuteQcYu[]QVUPJUO QcO not QV[^ macr^gtMeJTbn[]O H []jehiexclJUP[]fUPJUYH [ONPfcfVmbn[]OUPJLhY[PJaelig[]O H MeJIacutecent=[]jO^NihQRJUY[SX H MJyXqNPbnJa not QV[^ macr^bj^OMeJyXiacuteNPbnJaeligQcYH MeJUONPbLbLjehdN H JUfVm YZJ[]ZOslashJUO H JU^^FMeJUacuteNSZOslashKfcQ H j^eJ[SX H MeJiexclUPJUfR[BbLQ H m QsYFNPfsY[laquo[]QVUPJUOQcO not QV[aqYj^ macr^ ^OecurrenJSe Xfrac34jNPO^WNtildeJUacutebLNPO [PcentYJLhYUPJ H MN HFH MeJ5XiacuteNPbnJUacutehZJ[]QR[]O QcYUPJLhYmWFJUfcf^eJUfsQZaringQ H JU^regXhZ[]Z H MJ[ H MJLhhZJ[]QR[]OY^MJ5UPJUfc[BbLQ H m[]QUPJUO QcO not QV[aqYj^ macr^ ^OecurrenJSe XQcObLfcj^eJUY H MeJNP^^Q H Qc[]ONPf H JLhlZaringYFbn[]ZaringQcOF[yXiacutehZ[]Z H MeJ5UiNihQcN H QR[]O [SX H MeJiexcl^eJUYbnhQRKeVH [PhY5WQ H Magrave`centj H ^e[BJUYOtildeOe[ H QcObLfcj^eJ H MeJaeligcentEgrave[]jO^NihlmVcentNPYZJU^ H JLhlZ WMQcbMeumlQcYUacuteNYYZaring[[ H MQsO[ H JLhlZ^KMeJtimesNSZOslashKfcQ H j^eJOtilde[SX H MeJyUPJUfc[BbLQ H maQcYiexclOe[PhlZaringNPfcQcurrenLJU^ centEgraveJ H WFJLJUOs NPO^ macrSmacre$YZjbdM H MN HTH MeJ OeJ[]N H QVUPJoU~NPfcjJUYIacuteNihZJ fR[WFJLh H MNPO f i`NPO^ H MeJKEgrave[]YZQ H QUPJ[]OJUYNihZJTMQ[]MeJLh H MNPOpoundf i^ J bLNPObn[]ZaringKNihZJ H MJ QcOQ H QsNPfUPJUfR[BbLQ H m[Pcent H NPQcOJU^jYZQcOF[ H MeJ bn[U~NihQsNPObnJZaringN H hdQk admacr s juWQ H M H MeJOtilde[]OeJOtilde[Pcent H NPQcOeJU^jYQcO[ H MeJordfUiNihQcNPObnJrega2Sj^KMeJordfXqNPbnJTQcYOe[ H WNtildeJUfsf9^eJ H JUb H JU^QcO H MeJUPJUfR[BbLQ H m[Pcent H NPQsOeJU^ajYQcO[ H MeJUiNihQcNPObnJa not Q[^ ^bjWMJLhZJUNPYIacuteQ H QcYIacutehZJUNPfcfmumlWNtildeJUfcfF^eJ H JUb H JU^QsO H MeJQcOQ H QcNPfUPJUfR[WbLQ H m7jYZQcOF[ H MeJbn[iVUiNihQcNPObnJpoundZ N H hQk a not QV[^ ^currencentj^_MeJ UPJUfR[WbLQ H m [Pcent H NPQcOeJU^ jYZQsO[ H MeJumlU~NihdQcNPObnJ^e[BJUYOe[ H NPfsfR[W NPOJltz bLQRJUO H YJ[]ZOslashJUO H N H QR[]O`[SX H MeJyXiacuteNPbnJauml[]O H MeJaumlbn[]O H hNihYm H [H MeJIacutebn[UiNihQcNPObnJlaquoZaringN H hQk^eJ H JLhZaringQcONPO H WMQsbM H N`PJUYUacuteNP^UiNPO H N[PJaelig[SX H MeJtimesbn[]fR[PhQcOFX[PhlZ N H QR[]OO^macr^ ^WVFEumlETH=gtNtildeFETH32EacuteltOacuterETHEacute`0Ntilde=KIgravek8ltIgraveFETHIgrave5=KETH32EacuteltOacute~2Oacute+(8ltIgraveEacute IcircIgrave5euml1IgraveFOacute=KIgraveIcircMJa^eJUYZbnhQcK H [PhYOslashcentNPYZJU^[]O H MJ`bn[UiNihQcNPObnJZaringN H hdQkNihJ`QZOslashK-fRJZOslashJUO H JU^ H [^eJ H JUb H MBjFZaringNPO XqNPbnJUYQcO UWQc^eJL[OacuteYJBjeJUObnJUY^MQsYaring^eJ H JUb H QR[]OegraveZaringNm cent=J`jYJU^Xiacute[PhtUWQc^eJL[ bn[B^QcO[ H [JUObn[W^eJYJUfcJUb H QVUPJUfVm H MeJOacuteMBjFZaringNPOegraveXqNPbnJS^ not [Ph`N []QVUPJUObn[]ZOslashKhZJUYZYZQR[]OOacutehN H QR[e H MeJoXiacuteNPbnJbLNPO7cent=J H hNPOYYZ Q HH JU^bWiexclQ H MN MQV[]MJLhThN H J H [H MeJ^eJ H hdQZOslashJUO H [SX H MeJcentNPbl`[Ph[]jO^O^uMQsY QsO H JLhZJUY H QcO[KhZ[PKEgraveJLh H m QcYUiNPfcjWVNicentfcJuX[PhUBQc^JL[Bbn[]OXiacuteJLhZJUObnJUYe]WMeJLhZJ H MeJ ZOslash[]Y H QZOslashKEgrave[Ph H NPO H NPO^regZOslash[]Y H U~NihdQcNicentfRJQcOFX[PhlZ N H QR[]OQcYfR[WbLN H JU^ []O H MJordfXiacuteNPbnJaq 5ZOslash[]Oe[]j`NPO^tUacutejMNSZaringJUfde sSsSs j^ J QcOQ H QcNPfcQVcurrenLJ H MJhdY H XiacutehNSZOslashJoWQ H M7N`bLQchbLfRJ QsOYZQc^eJ H MeJXqNPbnJ H [ H hNPbY`K^MJUOOeyacuteWFJsup1ZaringN`PJ H MeJNPb H QVUPJ7bn[]O H []jeheumlJUP[]fVUPJjYZQcOF[admacr s jeiexclWQ H MX8ordfaOgravejxaacuteILK KafUgravemiddot cent j^ltMeJregONPfybn[]O H []jehtimes[SX H MeJ bLjehZhJUO H QZaringN[PJ QcY H MeJUOOacutebdMe[]YJUO7NPYNPO QcOQ H QcNPfbLjhYUPJordfX[Ph H MJUacuteOJk H QZaringN[PJS^FMeJOtildeNPfV[P[PhQ H MFZMNPYcentEgraveJLJUOKEgraveJLhYXiacute[PhlZOslashJU^[]OYJUPJLhdNPf$YJjJUObnJUY^MeJaelighZJUYjf H Y5X[Ph H MJaeligYZJjeJUObnJpoundn5JLhQV`p NihJordm[]QVUPJUOQcOnot QV[^ethz^shyMeJaringKNihNSZaringJ H hZJ bMNPYaumlcentEgraveJLJUOYZJ HaumlH [sup1f s ^QMeJordmXqNPbnJ QcYordfWFJUfcfy^J H JUb H JU^NPO^ H hNPbY`PJU^times[]O H MJ|WMe[]fcJyYJjJUObnJS^MJyhZJUYZjf H YOX[Ph H MeJNtildeYZJjeJUObnJnN`WQVmP[]p

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ macrNihZJy[]QVUPJUO`QsO not QV[^ i^ JaeligbMe[B[]YJbaacute s ^ JtimesbLNPO`YJLJ H MN HH MeJXiacuteNPbnJaeligQcYuWFJUfcf^eJ H JUb H JU^aJUPJUOaQVX H MeJaumlbn[]fR[Phiexcl[SXMJLhYZMQRh H QsY(bLfR[]YJ H [ H MJgXiacuteNPbnJIacutebn[]fR[Ph^

YOEAEligMgtIltROgravesup3PshyAtildeT13MKI5O H MQcYKNiKEgraveJLheuWNtildeJKhZ[PKEgrave[]YJN OeJW 0jfRJLhQcNPOAumlZaringQsOQZaringQVcurrenUN H Qc[]OAumlZOslashJ H Me[W^ H [bn[]ZOslashK-j H J H MJUPJUfR[WbLQ H mpoundUPJUb H [Pharing[SXNPONPb H QVUPJ bn[]O H []jeh H MN H JUOYZjehZJUYtimesQ H WQcfcfJUP[]fVUPJ NPYordfXiacuteNPY H NPYOtildeKEgrave[]YZYZQRcentfcJ H [WNih^YIacuteNZaringQcOQCZIacutejFZ [SXN bnhQ H JLhQR[]OeumlQcObLfcj^QcOF[centEgrave[ H MUacutehZJ[]QR[]OeVcentNPYJU^TNPO^OtildecentEgrave[]jO^NihYmVcentNPYJU^ H JLhlZ Y^ q jehgNiKKhZ[]NPbMIacuteQcYcentNPYZJU^Otilde[]OYZMNiK=J[PK H QZaringQVcurrenUN H Qc[]OOslashKhQcObLQRKfRJUY$NPO^ QcYyKEgraveJLhYXiacute[PhlZOslashJU^ QcO H MehZJLJ5ZaringNPQcO Y H JLKYaringf^ltO H hZ[W^jb H QR[]O[SX$NOslash^mWONSZaringQcbLNPfYbMeJZOslashJIacuteQcO H MeJTbnhQ H JLhQR[]OOe ^vF[]ZOslashKj H N H Qc[]Oaelig[SX H MeJ_0jfRJLhdQcNPOaelig^eJLhQVUiN H QVUPJ[SX H MJbnhQ H JLhQR[]OOslashjYZQcO[OtildeYZMNiKEgraveJ

[PK H QZaringQVcurrenUN H Qc[]O H [[]fcYe^vF[]ZOslashKj H N H Qc[]Oa[SX H MeJtimesJUP[]fcj H Qc[]OaJBjN H QR[]O`[SX H MeJaeligNPb H QVUPJtimesbn[]O H []jehiexclXiacutehZ[]ZH MeJT^eJLhQU~N H QVUPJS^

iexcl Ntilde _ cent G NPfcfR[WY H [hJUNP^QcfVm H N`PJNtildeQcO H [NPbLbn[]jO H9H MeJybLNPYJ0[SXBhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H^eJUYbnhQRK H [PhY H MN H NihZJo[]fR[PcentNPfcfVmN HH NPbdMeJU^ H [ H MeJ JUP[]fVUWQcO[ hZJ[]QR[]OYtimesNPO^Y[H MN H UiNihYm^jehQsO[ H MJaumlKhZ[PKN[]N H Qc[]O [SX H MJaumlbLjehYUPJS^ JTYMe[W H MN HH MeJgUiNihQuVN H QR[]O [SX H MeJUYJ^JUYZbnhQRK H [PhdY QsO^jbnJUYNP^^Q H QR[]ONPf H JLhlZaringYQcO H MeJeumlJUP[]fcj H QR[]OJBjN H QR[]Oeuml[SX H MeJaringNPb H QVUPJ bn[]O H []jeh^MJUYJ H JLhlZaringYgZtimesjY H Oe[ H centEgraveJlaquoX[Phl[P[ HH JUOQcO[Ph^JLh H [ hZJUNPbMeumlN H hjeJZ QcOQZtimesjFZ[SX H MeJtimesbnhQ H JLhQc[]OaNPYUacuteQ H MNPYcentEgraveJLJUOKEgrave[]QcO H JU^[]j H QsOJkBKEgraveJLhQZaringJUO H NPfEgravehZJUYjf H Y^

Yfrac34XiacuteNiheumlNPYeumlMe[]ZOslash[S[PJUOeJL[]jYeumlbn[]fR[PheumlhZJ[]Qc[]OY`YZJ[]ZOslashJUO H N H Qc[]OQsY`bn[]ObnJLhdOeJU^OeWFJKhZ[PKEgrave[]YJ H MeJ`bn[U~NihQsNPObnJfrac34ZaringN H hdQk^eJ H JLhlZaringQcONPO H NPY N^eJUYbnhQRK H [Ph^MQcYY H N H QsY H QcbLNPfhZJ[]QR[]OeV4^eJLKEgraveJUO^eJUO H ^JUYZbnhQRK H [PharingNiKK=JUNihdY H [centEgraveJN UPJLhlm7hJUfRJU~NPO HH [B[]fampNPO^eumlY[ Q H MNPYUacutecent=JLJUOeumlYZjbLbnJUYZYXqjfcfVm NiKKfsQRJU^ H [XqNPbnJaring^eJ H JUb H QR[]OQcOfrac34UWQc^eJL[YJBjeJUObnJUY^

iquest acuteraquoacuteLacuteIltR]acuteAtildeagraveIgravefrac14dEcircsup1Atilde5AringiquestLmiddotNtildeIumliquestUumlgIumlUTHORNampAtildeEacutecedilAtilde5AringAcircnAtilde|iquestaacuteIacuteIumlIZEgravefrac14Zcedilfrac12frac14dAringiEcirc]iquestfrac14draquoiEcirc[NtildeIumlagraveAringEacutePAtildecedilwAacute4] uacute_^J^J^ iquest)` igraveraquoLCcedilfrac14cedil4Ecircfrac14draquo~Ecirc(Auml|AringAacuteCcedilfrac14Zcedil4Ecirc

Agrave5AringcedilAcircnAtilde$AtildeAcircnAuml|frac12AringAacutesup1AumldraquoTAringAEligwsup1raquo~ordm(frac12Atilde5AcircnAtilde5frac12AEligwAtildeAacuteampIgrave(Atilde AacuteIcirc~AumlUEcircSaIumligraveraquo13] x4~rv p4PldrRtcoPl|Egraveod5v pv i4vodaumlx4shyl not vsectpqo v tu not Iumlcb$Auml|EacutePAtilde|iquestednfrac14Oumlifrac14draquoIuml

agraveIgrave(Aumldraquo~Auml|Aringiquest~igrave4IumlPfrac14raquoiEcircfWIumliTHORNampAringIcircifrac14Igrave(Atilde5frac12G] divideugrave|ugrave|ugrave iquest` igraveAacuteAtildecedil4frac14ZAacutesup1Acirc|AtildeNtildeEacute~frac14dAgrave4UgraveUCcedilEgravefrac14cedil4EcircUacuteAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoUacuteOgraveregAumldcedilIcirc~sup1Atildecedil4frac14cedilAgrave4Icirc~sup1currenEumlAgravefrac14dfrac12=CcedilEgravefrac14AcircnAtilde5frac12AtildeAacutesup1Igravefrac14ordm|AtildeAgrave5AumlUEcircsup1raquo~ordmIaIumlaeligigraveiacuteraquoS] x4rv p ildrRtcodil|ampod5v pv P4vOtildeodOslashx4shy(l not vFsectpqo v tu not Iumlg frac14raquo~Agrave5AumldAring~AcircnAtildecediliquestehEgravefrac14raquoifrac14|Ecircfrac14Iuml

agraveAringEacutePAtildecedilwAacuteiquest[NtildeIumlWfrac14raquoiEcircifWIuml13b$Aumldcedilraquo~OumlcedilAuml|EacuteAEligqAacute4] divideugrave|ugraveuacute iquestkj ldrregv shy(ldrRtcl|ipwonm5v shyNtildetuOslashtushyl not vampipwo4v tu not sect9ldp4rRtcl|Egravedt lv pv ~rRtRl|9vDm~lrRtcod~ldiTrreg~vUacutel| Uiexcloqnldp4tcldrRtRod~ iquestpoAumlIuml uacute_qEr IumlOslashagrave9Ouml~Oumlfrac12sup1AtildeEcircaacuteUacutefrac14AacuteIcirc~AtildeIgravefrac14Aacutesup1Agravefrac14dfrac12BatildeAgravesup1Atilderaquo~Agrave5Atilde5AElig5iquestPatildeOumlcedilsup1raquoordm|Atildecedil g Atildecedilfrac12frac14dordmIumlhEgravefrac14dAEligwAtilde5frac12frac12Atilde5AElig5iquest g Iumliquest~szlig0Iumleb$sup1Igrave(Igrave(Atilde5frac12Riquestifrac14raquoiEcirc[NtildeIumlatildefrac14dOumlsup1cedilAumlI] uacute_^J^Er iquest`s[Atilde5AumlUEcircAtilde5AEligwsup1AgraveFfrac14dAgraveAacutesup1AcircnAtildeyAgrave5AumldraquoUAacuteAumldAringcedilAElig_aIuml x4~rv p4PldrRtcodPldpoundUodUp4Pl|WoqodshyiUrv paumlumltutcodutet13v uacute+w iquestex uacuteyIrz^ Iuml

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CBh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34LiquestBagraveyIumlWfrac14raquoiEcircidIumlBTHORNampAringraquo~Agravefrac14raquo13] uacute4^z^J^ iquest`[ampfrac14Igrave(AtildeEumlcAacuteIcirc~Atilde5AumlcedilAtildeAacutesup1Agrave(sup1raquoUAacuteAtildeordmdcedil4frac14Aacutesup1AumldraquoaeligOgraveuAumldcedil0sup1Igravefrac14dordmdAtildeAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIuml xQ|||~pwl~ lnrRtcodNtildeodiexclsect9lrRrv p auml9Pl| ~tuyldi j l|4Utu]vx4~rvreg t not v P4v Iumlh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34Liquestgagrave0IumliquestIumlgatildeUAacute4frac14dsup1Eacuteiquest9frac14draquoiEcircdIuml9THORNampAringraquo~Agravefrac14raquo13] uacute_^J^ xiquest` THORNampAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeIacuteEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34iraquo~Ecircsup1raquo~ordmsup1raquoIgrave(AtildeEcircsup1Agravefrac14frac12iexclsup1Igravefrac14ordm|Atilde5AEligaringEacuteLfrac34Oacutesup1raquoLAacuteAtilde5ordmcedil4frac14Aacutesup1raquo~ordm ordmdcedil4frac14|Ecircsup1Atilde5raquoLAacute frac14raquoiEcirccedilAtilde5ordm|sup1Auml|raquo sup1raquoOgraveuAumldcedilIgravefrac14ZAacutesup1Auml|raquo13aIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu notI iquesteE ^4y rdugrave Iumlh=Icircifrac14raquoiquestBETHIumlWfrac14raquoiEcircIuml g Atilde5AEligwAtildeJ] dividedugravedugraveuacute iquest` agraveAgraveAacutesup1AcircnAtildeFAgrave5Auml|raquoLAacuteAuml|AringcedilAElig$Ccedilgsup1AacuteIcircAuml|AringAacuteNtildeAtilde5Ecircordm|AtildeAElig_aIuml xQ||k|~pwld lnrRtcododUacutex4shy(l not v9sectpqo4v 4tu notuU v divideJw iquest divide xJx ydividezrJr Iumlh=Icirc~Atilde5AEligwraquo~frac14dAring~EcirciquesthIumliquestfWIuml=szligAtildeOgraveYacutecedilIAtilde5ordm|sup1Atildecediliquestfrac14draquoiEcirc g Iuml5Z=AumldAring~frac12AtildeAacute4] uacute_^J^z^ iquest`currenatildeUAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12cedilAtilde5ordmdsup1AumldraquoAEligwraquoifrac14dUgrave|AtildeEumlsEacuteifrac14dAEligwAtilde5EcircAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquofrac14|Ecircfrac14dOumlAacuteAtilde5EcircFAacuteAumlyEcircsup1s]AtildecedilAtilde5raquoLAacute-Ouml~IcircLfrac34AEligwsup1Agrave5frac14dfrac12~raquoAuml|sup1AEligwAtilde9Igrave(AumlUEcircAtilde5frac12AElig_aIuml xQ||k|~pqld~ lnrRtco~$osect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4vt iquest uacute|uacute_q y~uacute|uacute xIumlh=Auml|IcircAtilde5raquoiquestIuml] uacute4^z^uacute iquest`currenmiddotraquofrac14dAgrave Aacutesup1Acirc|Atilde Agrave5AumldraquoLAacuteAuml|AringcedilIacuteIgrave(AumlUEcircAtildefrac12AEligtimesfrac14draquo~EcirceumlEacuteifrac14dfrac12frac12AumlLAuml|raquoAElig_aIuml odshyiUrv pumltutcod pwl Utc0ldix4shyl not vsectEgravepwo4v tu not x4shyl not vOtildePnv p rsldidtu not) iquest divideUuacuteduacuteydivideLuacute UIumlh=Auml|IcircAtilde5raquoiquestSIumliquestUumlIuml13ZEgravefrac14cedil4Ecircsup1raquo~AtildeAacuteiquestfrac14raquoiEcircoNtildeIumlagrave9frac34Lfrac14dAgrave4Icirc~AtildeJ] uacute_^J^z iquest`atildeUAringcedilwOgraveufrac14dAgrave5Atilde0cedilAtilde5Agrave5Auml|raquoAEligqAacutewcedilAring~AgraveAacutesup1AumldraquotimesAring~AEligwsup1raquoordmfrac14AgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilaumlIgrave(AumlUEcircAtilde5frac12AElig_aIuml igraveiacuteraquoS] Lsect=xQ|od5v pv P4v od vwodshy(v rRp tc j v rregodtimestuodshyiUrv pumltutco Iuml~atildefrac14raquoUacuteTHORNampsup1Atilde5ordm|AumliquesthEgraveagraveyIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquestEgraveUumlIuml] dividedugrave|ugravedugrave iquest`currenatildeAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquo Ouml~frac14cedilAgrave5Auml|raquoLAacuteAuml|AringcedilAEligUacutefrac14AgraveAacutesup1currenOgraveuAEligUacuteAtilde5raquosup1Igravefrac14dordmdAtildecedilsup1AtildeIacuteIgraveAtilde5Ecircsup1Agravefrac14dfrac12AtildeIacuteEcircfrac34UEumlraquoifrac14dIgrave(sup1ecircLAring~Atilde]ampfrac14Ouml~Ouml~frac12sup1Agravefrac14ZAacutesup1AumldraquoAtilde5raquoeumlAgravefrac14Zcedil4Ecircsup1Auml|frac12Auml|ordmdsup1Atilde raquoUAring~Agravefrac12Atilde5frac14dsup1currencedilAtildeJaIumlfIcircIuml THORNFIumlAacuteIcirc~Atilde5AEligwsup1AElig5iquestraquo~sup1AcircnAtildecedilAEligwsup1currenAacutefrac34`AumlOgraveosup1Agrave5AtildeEumliacuteatildeAumldOuml~Icircsup1Yacutefrac14NtildeagraveraquoLAacutesup1OumlPAuml|frac12sup1AElig5iquestPeacutecedil4frac14raquo~Agrave5AtildedIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquest|UumlIumliquestUaacuteIacuteIumlEZEgravefrac14cedilfrac12frac14dAring~Ecirciquest[NtildeIumlLagraveAringEacutePAtildecedilwAacuteiquest|frac14draquoiEcirc dIumlnTHORN$frac14ZcedilAgrave5Auml|AringcedilwAacute4] divideugrave|ugraveUuacute iqueste`currenatildeOuml~frac14dAgrave5AtildeEgraveAacutesup1Igrave(AtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14EumlAacutesup1AumldraquoUacuteAring~AEligwsup1raquoordmfrac12Atilde5AcircnAtilde5frac12AEligwAtildeAacutefrac14dAgraveAacutesup1AcircnAtilde$AgraveAuml|raquoLAacuteAuml|AringcedilAEligfrac14Ouml~Ouml~frac12sup1AtildeEcirciexclAacuteAumlFIgraveNtildefrac34LAumlLAgravefrac14Zcedil4Ecircsup1frac14dfrac12ordmnfrac14ZAacuteAtildeEcircOtildeatildeIf-UumlkhEgraveETHaIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu not t v rJw iquest)x qJ+y xJ ^ Iuml

THORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquest13iexclNtildeIumlfrac14draquo~EcircdIumlWaacuteAuml|raquoLAacute4frac14ordm|raquoifrac14ZAacute4] divideugrave|ugraveUuacute iquest` ETHBAumldOumlPAuml|frac12Auml|ordmfrac34Oslashfrac14raquoiEcircIacuteAEligwIcirc~frac14dOumlPAtildeAgraveAuml|raquo~AEligqAacutewcedil4frac14sup1raquoUAacuteAEligyAumldraquotimesOumlifrac14Zcedil4frac14EumlIgrave(AtildeAacutewcedilsup1AgraveOslashfrac14dAgraveAacutesup1AcircnAtildearingAgrave5AumldraquoLAacuteAuml|AringcedilAElig_aIuml odshy~rv pumltutcodldP x4shy(l not vPLv p4rsldPtu notcent) v divideJw iquestuacute_qnugrave4yiuacute4rUuacute Iuml[Auml|Igrave(Atilde5AElig5iquestpounddIumlfrac14draquo~EcircaringmiddotNtildeIumleacuteifrac14Aring~ordm|Atilde cedil4frac14dAElig_] divideugrave|ugrave|ugrave iquestcurren` szlig9Atilde5Agrave5Aumldraquo~Agrave5sup1frac12sup1raquo~ordmIacuteEcircsup1AEligqAacute4frac14draquoAgrave5AtildeOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligfrac14draquo~Ecircaeligfrac12Atilde5AcircnAtilde5frac12EgraveAEligwAtilde AacuteAElig_aIumlpoundUodUp il|WoqUacuteumltul|-odshyNtildeshyFU~tR4lrRtcodTldix4shyl not vampgvipv v rsldrRtcod ) iquest dividedugravez^+ydivideddividez Iuml[cedil4frac145frac34LiquestszligyIumliquestdIumlyen-Auml|Aringraquo~ordmiquestampfrac14raquoiEcircagrave0Iumlampagravesup1currenfrac34LAtildecedil4] dividedugravedugraveuacute iquest `aacutesup1raquosup1IgraveNtildeAring~Igrave Ecircsup1AEligwAgrave cedilsup1Igrave(sup1raquo~frac14Aacutesup1Auml|raquosup1raquoOgraveregAumldcedilIgravefrac14Aacutesup1AumldraquoAgrave5frac12Aring~AEligqAacuteAtildecedilsup1raquo~ordmI]Igrave(AumlUEcircAtilde5frac12sup1raquo~ordmTfrac14raquoiEcircOslashecircLAringifrac14raquoUAacutesup1Ocircfrac14ZAacutesup1Auml|raquoOslashCcedilgsup1currenAacuteIcirc ordm|frac14dAringAEligwAEligIgrave(sup1currenicircAacuteAringcedilAtilde5AElig_aIumlTigraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquest=atildePIumliquest=aacuteIacuteIumlkZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestEgravefrac14raquoiEcirc[NtildeIuml=agrave9Aring~EacutePAtildecedilwAacute4] dividedugrave|ugraveUuacute frac14Uiquest` agrave EumliacuteatildeUAacuteAtilde5Ouml frac14dfrac12ordm|Aumlcedilsup1currenAacuteIcirc~IgraveAring~AEligwsup1raquoordmcedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtilde=Agrave5Auml|raquoLAacuteAuml|AringcedilAEligeOgraveuAumldcedilAcircUsup1EcircAtilde5AumlAuml|EacuteUbrvbarqAtilde5Agrave AacuteAElig=EcircAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoSaIuml~igraveraquo13]psect xw j x4 sect odpDumlqo odUacutex4shy(l not v9Pl| ~tu5op j rRtushyvwdtclNtildex4rv pwlnrRtKndvy]v pntc4v IumliETHWfrac14dIgrave(OumlPAtilde cedilAtilde|iquestieacuteWsup1raquofrac12Yacutefrac14raquoiEcirc]Iumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquestUatilde]IumliquestUaacuteIacuteIumlUZ=frac14cedilfrac12frac14dAring~EcirciquestUfrac14raquoiEcirccopy[NtildeIumlUagrave9Aring~EacutePAtildecedilwAacute4] dividedugravedugraveuacute EacuteiquestA` szlig9Atilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14AgraveAacutesup1AcircnAtildegAgrave5Auml|raquoLAacuteAumldAringcedilAEligOgraveuAumldcedilAcircUsup1YacuteEcircAtilde5AumlaringAuml|EacuteUbrvbarqAtilde5Agrave AacuteOtildeAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo Ccedilgsup1currenAacuteIcircaAgrave5frac14dIgrave(Atildecedil4frac14OslashAgrave5AumldIgrave(OumlPAtilde5raquo~AEligfrac14ZAacutesup1Aumldraquo13aIumligraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquesteatilde]IumliquestWaacuteIacuteIumlZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestefrac14draquo~Ecirc[NtildeIumlBagraveAring~EacutePAtilde cedilwAacute4] divideugrave|ugraveuacute Agrave|iquestk` g sup1EcircAtilde5AumlUacuteAuml|EacuteUbrvbarqAtildeAgraveAacuteFAEligwAtildeordm|Igrave(Atilde5raquoLAacute4frac14Aacutesup1AumldraquoAring~AEligwsup1raquo~ordmIacuteAtilde5Aring~frac12Atildecedilsup1frac14draquo cedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAElig_aIuml igraveiacuteraquoS] x4rv p ildrRtcodil|yodv pwv P4vIacuteoodshyiUrv paumlumltutcod Iuml g frac14draquoAgrave5Auml|AringAcircnAtildecediliquestehEgravefrac14draquo~frac14|Ecirc~frac14UIumlbyfrac14dAEligwAElig5iquesteaacuteIacuteIumliquestWagrave0Iuml Ucirc sup1currenAacuteUgravesup1raquoiquestWfrac14raquoiEcirctimesTHORNFIumlWETHBAtildecedilOcirc5AumldOumlPAuml|Aringfrac12AumldAElig_] uacute4^ JUiquestk`currenatilderaquoifrac14UgravenAtilde5AElig_]WagraveAgraveAacutesup1AcircnAtilde(Agrave5AumldraquoLAacuteAuml|Aringcedil0Igrave(AumlUEcircAtilde5frac12AElig_aIumlx4~rv p4PldrRtcoPl|WpoundUop4PldWoqodshyiUrv pTumltutcod iquest ndivideUuacuteyUzndivide Iuml

aacuteUacutefrac14dfrac12frac12frac14|Ecircsup1ciquest~szlig0IumliquestedIuml]atildeUAtildeAacuteIcirc~sup1frac14raquoiquest~frac14draquoiEcircZIuml g Atilde5IgraveNtildeAringcedilsup1G] uacute4^z^ UiquestS`atildeUIcircifrac14OumlPAtilde$Igrave(AumlUEcircAtilde5frac12sup1raquo~ordm0Ccedilgsup1AacuteIcirciexclOgraveregcedilAuml|raquoLAacuteOumlcedilAumldOumlifrac14dordm|frac14EumlAacutesup1Aumldraquo13]nfrac14ampfrac12AtildeAcircnAtilde5frac12AEligwAtildeAacuteEgravefrac14Ouml~OumlcedilAumlnfrac14dAgrave4Icirc13aIuml xQ|||~pwld lnrRtcodampodsectgldrRrv p 9Pl| ~tu9ldP j ln4Utreg]vx4~rvu t not v i4v Iordf iquest uacute z yiuacute+r UIuml

aacuteUacutefrac14draquoAEligwAuml|Aringcedilsup1Riquestagrave0Iumlfrac14draquo~EcircdIumlb$Auml|raquocedil4frac14|EcircS] uacute_^J^J^ iquestlaquo`currenaacuteAumldAacutesup1AumldraquoAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo`Ccedilgsup1currenAacuteIcirceumlfrac12Atilde5AcircnAtildefrac120AEligwAtilde AacuteAElig_aIuml igraveraquo13]x4~rv p4PldrRtcoPl|=ov pwv P4vNtildeodUacutex4shyl not vsectEgravepwo4v tu not Iumlcb$AumldEacutePAtilde|iquestednfrac14dOuml~frac14draquoIuml

aacuteAuml|raquoLAacute4frac14dordmdraquoifrac14ZAacuteiquestdIumliquestziexcl0IumlTHORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquestdfrac14draquo~EcircoNtildeIumlZagravegfrac34Ufrac14dAgrave4Icirc~AtildeJ] dividedugrave|ugraveUuacute iquest` agraveOslashcedilAtildeAcircsup1AtildeCcedilaeligAumldOgravePEcircAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeAEligwAringcedilwOgraveufrac14dAgrave5AtildeAElig_]AacuteAuml|OumlPAuml|frac12Aumldordmdfrac34Liquestgordm|AtildeAuml|Igrave(AtildeAacutewcedilwfrac34frac14draquoiEcirc EcircAtildeOgraveuAumlcedilIgravefrac14Aacutesup1Auml|raquoSaIuml x4shyl not vtimesldiOacuteumltutcododshy~rRtreg not0Inot v uacute_qw iquestuacuteugravendivide+y~uacuteugravezq|ugrave Iuml

aacuteAring~IgraveOgraveregAumldcedil4Ecirciquest=THORNFIumlgfrac14raquoiEcircdIumlatildeIcirc~frac14dIcircS] uacute4^ ^ iquest`currenmiddotOumlAacutesup1Igravefrac14frac12$frac14dOumlOumlcedilAumlicircsup1Igravefrac14Aacutesup1Auml|raquoAEligEacuteLfrac34Oumlsup1AtildeAgrave5AtildeCcedilgsup1AEligwAtildetimesAEligwIgrave(AumlLAumlAacuteIcircOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligFfrac14raquoiEcircOslashfrac14dAEligwAEligwAumlLAgravesup1Yacutefrac14ZAacuteAtildeEcircaringAcirc|frac14Zcedilsup1Yacutefrac14ZAacutesup1Auml|raquoifrac14frac12EgraveOumlcedilAumldEacute~frac12Atilde5Igrave(AElig_aIuml odshyNtildeshyFU~tR4lrRtcod~oaeligsectEgraveUpvUacuteldiEgraveni tsvw j ldrreg~v shy(lrRtccurrenshyt iquest rzr4y xJ q Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfa

yenKbrvbarsect =4 acirc $ zmiddotAEligwIcirc~AtildecediliquestdatildePIumlfrac14draquo~EcircdIumlnatildeAtilde AacuteIcirc~sup1frac14draquoS] uacute4^ ziquest` eacutecedilAuml|raquoLAacuteAEligeOumlcedilAumldOumlifrac14ordmnfrac14Aacutesup1raquoordmCcedilgsup1currenAacuteIcircFAgrave5AringcedilAcirc|frac14ZAacuteAringcedilAtildeEumlEcircAtilde5OumlPAtilde5raquoiEcircAtilde5raquoLAacuteBAEligwOumlPAtildeAtildeEcircS]

agravefrac12ordm|Aumlcedilsup1AacuteIcircIgrave(AEligEacute~frac14dAEligwAtildeEcircaumlAuml|raquoiexclampfrac14Igrave(sup1frac12AacuteAumldraquoEumldnfrac14Agrave5Auml|Eacutesup1eacute~AumldcedilIgraveNtildeAring~frac12frac14Aacutesup1Auml|raquoSaIuml poundUodUp4Pl|oqiexcloshyiUrsldrRtcoPl|sect=U~tc ordfenot iquest uacutedivide4yEqE^ Iumlfefrac14cedil4frac14ordm|sup1Auml|AElig5iquestoNtildeIumlfrac14draquo~EcircIacuteszligyIuml]THORNampAtildecedilsup1Agrave4Icirc~AtildeJ] uacute4^z^J^ iquest`s[Atilde5AumlUEcircAtildeAEligwsup1Agravefrac14AgraveAacutesup1AcircnAtildeFcedilAtilde5ordmdsup1Auml|raquo~AElig$OgraveregAumldcedil0Igrave(AumldAacutesup1Auml|raquoTAtilde5AEligqAacutesup1Igravefrac14Aacutesup1Aumldraquofrac14draquoiEcircAacutewcedil4frac14dAgrave4UgraveUsup1raquoordmAaIumligraveiacuteraquoS] x4rv p ildrRtcodil|-ov pwv P4vFodOslashodshyiUrv paumlumltutco Iumleh=AumldcedilwOgraveregAringgt[cedilAtilde5Atilde5Agrave5Atilde|Iumlfefrac14AacuteAtilde5Aringicirc]iquestatilde]Iuml] dividedugravedugrave|ugrave iquestpound`currenatildeOuml~frac14Aacutesup1frac14dfrac12AEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoTAumldOgrave=Agrave5Auml|frac12Aumlcedilysup1Igravefrac14ordm|Atilde5AEligampfrac14dAgrave5Agrave5Aumlcedil4Ecircsup1raquo~ordmAacuteAumlUacuteaacuteTHORNaringOgraveregAumldcedilIgravefrac14dfrac12currenEumlsup1AEligwIgraveaIumlyigraveraquo13] x4~rv p4PlrRtcodPld=od5v pv i vodododpFtu pwl4UtcldPx4shyl not vysectpqo v tu not Iumlatildefrac14dsup1raquoLAacute UumleAacutesup1Atilderaquo~raquo~Atildediquestieacutecedil4frac14raquo~Agrave5AtildedIumlfcedilAtildeAgrave5sup1Auml|AEligwAumliquesteacute=IumlEgravefrac14raquoiEcirc aacuteIacuteIumlcurrenZEgravefrac14cedilfrac12frac14dAring~EcircS] dividedugrave|ugraveUuacute iquest` Z-EumliacuteatildeUOuml~frac12sup1raquo~Atildeaumlfrac14dAgrave Aacutesup1Acirc|AtildeOtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAEligOgraveregAumldcedilOgraveRfrac14AEligqAacuteAcircUsup1EcircAtilde5AumltimesAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIumlOacuteigraveraquo13] x4rv p ildrRtcodil|od5v pv P4vaeligod x4shy(l not vUacutesectpqo4v 4tu not IumlETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1Riquest[cedilAtilde5Atilde5Agrave5Atilde|Iuml

szligAumldraquoOgraveufrac14cedil4EcirciquestszligyIuml] uacute_^J^q iquest` szlig9Atilde5ordmdsup1AumldraquoEumlsEacuteifrac14AEligwAtildeEcircFAEligqAacutewcedil4frac14ZAacuteAtilde5ordm|sup1Atilde5AEligeOgraveuAumlcedil-frac14dAgraveAacutesup1AcircnAtildeEgraveAgraveAuml|raquoLAacuteAuml|AringcedilIgrave(AumlUEcircAtilde5frac12AElig_aIuml x4~rv p4PldrRtcoPl|poundUodUp il|WoqodshyiUrv paumlumltutco I v dividezw iquest divideddividez^+yUdivide uacute Iuml

atildefrac14Igrave(AEligwAuml|raquoiquestzhIumliquestzIumlzZ=frac12frac14raquo~AgraveEumleacuteAtildecedil4frac14AringiEcirciquestJ[NtildeIumldagraveAringEacutePAtildecedilwAacuteiquestfrac14draquo~Ecirc dIumlJregPAtildecedilAring~Eacutesup1frac14I] dividedugravedugrave|ugrave iquest` agrave frac12Atilde5Acirc|Atilde5frac12UAEligwAtildeAacuteIgrave(AumlUEcircAtilde5frac12nOgraveregAumldcedilsup1Igravefrac14ordm|AtildeAgrave5frac12frac14dAEligwAEligwsup1siAgravefrac14ZAacutesup1Auml|raquo13aIuml x4~rv p4PlrRtcodPldpoundUodUp4Pl|BoqNtildeodshyiUrv pOtildeumltreg4tRod shy v Ew iquest uacute r4y~uacute4^Er Iuml

atildefrac14raquo~ordmdCcedilgsup1raquoAtilde|iquest9atilde]IumlEgravefrac14draquo~Ecircszlig0IumlampiexclAumldcedilraquoAtilde v Atilde5EcircAElig5Iuml w ] uacute_^J^ Uiquest ~vIacuteo|odUpaumltushyl not vipqo4v 4tu not ldP|m4oo4uml Iumlh=Icircifrac14dOumlIgravefrac14draquodegmacriexclampfrac14dfrac12frac12RIumlatildeAtildeAacuteIcircsup1frac14draquoiquestdIumlplusmn] uacute4^z^|ugrave iquestU` oAringIgrave(Atildecedilsup1Agravefrac14dfrac12Ufrac14frac12ordm|Aumldcedilsup1currenAacuteIcircIgrave(AEligWOgraveuAumldcedilOumlcedilAuml|Oumlifrac14ordmnfrac14ZAacutesup1raquoordmsup1raquoLAacuteAtildecedilwOgraveRfrac14Agrave5Atilde5AElig_]Jiexclampfrac14dIgrave(sup1frac12currenAacuteAuml|raquoEumldnfrac14dAgrave5AumldEacute~sup1

AtildeecircLAringifrac14Aacutesup1Aumldraquo~AElig-frac14draquoiEcircAgraveAuml|raquo~AEligwAtilde cedilAcirc|frac14ZAacutesup1Aumldraquo(frac12frac14CcedilgAElig_aIuml poundUodUp4Pl|]oqEgraveyen$t lv pv rRtcl| voshyv rRp~ iquest uacute4Uuacutey~uacute x uacute IumlatildeAtildeAacuteIcircsup1frac14draquoiquestAdIuml] uacute4^J^ xiquest kWvndvB]v r j v rregod IumlcurrenhEgravefrac14dIgraveNtildeEacutecedilsup1EcircordmdAtilderaquosup1AcircPIumlAfecedilAtilde5AEligwAElig5Iumlatildesup1Ecirc~Ecircsup1ecircUsup1Riquest4bIumliquest_yenNtildeIumlBfrac14Aring~Ocirc5sup1Gsup2AtildecedilAtilde|iquestagraveyIumlETHWfrac14draquoraquo~Atilde5raquoUEacute~frac14dAring~IgraveUacuteiquest5frac14draquo~EcircNtildeatildePIumlregPAring~Agrave4UgravenAtildecedil4] uacute_^J^ xUiquestE`currenagravegcedilAtildefrac149frac14draquoiEcirc$frac12Atilde5raquoordmdAacuteIcircyIgrave(sup1raquoEuml

sup1Igrave(sup1Ocirc5sup1raquoordm sup3iAumlCcedilgAEliggOgraveuAumldcedilAEligwIcircifrac14OumlPAtildeyAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo13aIuml xQ|||~pwl~ lnrRtcodoOtildex4shyl not vsectEgravepwo4v tu notordf v Ew iquest qEz+yqzqE Iumlyen=AtildeOcirc5Ocirc5sup1RiquestagraveyIumliquest5agrave0Iuml5ETHEgraveAEligfrac14dsup1Riquestfrac14draquo~Ecirc$agrave0Iuml Ucirc sup1frac12frac12AEligwUgraveLfrac34] uacute4^z^J^ iquestJ` agraveaeligAEligqAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12Ufrac14dOumlOumlcedilAumlnfrac14Agrave IcircampAacuteAumlgAEligwraquo~frac14dUgravenAtilde5AElig]OgraveuAumlcedilWEacutesup1Igrave(AumlUEcircfrac14dfrac12frac14draquoiEcircAacutewcedilsup1Igrave(AumlUEcirc~frac14frac12isup1Igravefrac14dordmdAtildecedilwfrac34aIumligraveraquo13] x4rv p ildrRtcodil|eodv pwv P4vyodx4shyl not vgsectpqo v tu not IumlAb$AumldEacutePAtildednfrac14dOuml~frac14draquoIumlreg]IcircUAringiquest]atilde]Iumlfrac14raquoiEcircaumlagrave0Iumleyen=Aringsup1frac12frac12AtildeJ] uacute_^J^ xUiquestpound` szlig9Atilde5ordmdsup1AumldraquotimesAgrave5AumldIgrave(OumlPAtildeAacutesup1currenAacutesup1Auml|raquo13]iAring~raquo~sup1currenOgraveYacutefrac34sup1raquoordmiexclAEligwraquo~frac14dUgravenAtilde5AElig5iquestPcedilAtildeordm|sup1Auml|raquoTordmdcedilAumlCcedilgsup1raquo~ordmiquestfrac14draquoiEcircZEgravefrac145frac34LAtilde5AEligacute|aacuteTHORNOgraveregAumldcedilIgraveFAring~frac12currenAacutesup1Eacuteifrac14raquoiEcirc sup1Igravefrac14ordm|AtildeTAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo13aIuml xQ|||micro~pwld lnrRtcodtimesosect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4v Icent iquesteJ q+yU^dugrave|ugrave Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfo

i $amp)(+-)013021+345627893lt=gt9A6CBfrac12OcircacuteIshyNT

frac12OcircacuteIltNTpara frac12frac34EMeJaumlQcYZYZjJUacuteQsY H [ ^QEgraveJLhZJUO H QcN H J H MeJordfXiacute[]fcfR[WQcO[Oslash^e[]ZaringNPQsOXiacutejOb H QR[]ONPfdaringocirc|adOuml times jOcircaacute uuml times a2atildeltszligaumlgtszliglOuml times j atilde auml

G QsObnJ H MJeumlYZJ H [SXIacuteNPfcfUacute^e[]ZaringNPQsOYMNPY Oe[ H N Y H hjb H jhZJ`[SXUPJUb H [PhQcNPfOtildeYZKNPbnJSefRJ H jYZ N`PJ H MeJeumlhZJ[]QR[]OYJUP[]fVUPJ H MehZ[]j[]M NrXqNSZaringQcfVm [SX H hNPOYYX[PhlZ N H QR[]OYa(|aagraveszlig jj emiddot iacuteaumlYlZOslash[[ H MaNPO^ centQ ~JUb H QVUPJS^ not [PhNOslashKEgrave[]QcO H $ aacute atildeshyszligaumlN eFWFJTOe[ H JSaring$ aagravej|aacutemiddot|aagraveszlig $ j WiexclQ H M |a s szlig $ jaacute $OumlcopytimesaagravejOcircaacutemiddot|aagraveszliglOumlutimesdj WiexclQ H M |a s szliglOumlcopytimesAjOcircaacuteAumlOumlutimes9J H jY H MeJUO^JOeJ H MeJordfUPJUfR[WbLQ H moUPJUb H [PhdY JUfs^kfrac12 YZjbM H MN H aringfrac12sup1aagraveszlig $ aagravejj|aacute aelig |aelig agrave aagraveszlig $ j YlaquoXiacuteNiharingNPY H MeJ bn[]ZOslashKj H N H QR[]O[SX H MeJ ^eJLhQU~N H QVUPJ QcYOslashbn[]ObnJLhOeJU^OeWFJNihZJQcOWVH JLhZJUY H JU^ QcO YYZaringNPfcfOtilde^JX[PhlZ N H QR[]OY^ J H MBjYJkWKNPO^ H MeJ H hNPOYX[PhZaringN H QR[]ONPbLbn[Ph^QcO[ H [hdY H [Ph^eJLh NmWfR[PhyacuteXiacute[PhlZtimesjfcNaring|aagraveszlig $ jpoundaacuteAElig|a s szlig $ j agrave aelig |aelig agrave a s szlig $ jaacute $ ragrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacute frac14 frac14 a s szlig $ j^ J H MeJUOQcO H hZ[W^jbnJ H MehZJLJgZ NPQcO^eJOQ H QR[]OYaringf^QMeJg0jfRJLhQcNPO^eJLhQU~N H QVUPJOtilde[SXocirc|adOuml times jordfaqQcO H MeJIacute^QRhZJUb H QR[]O[SXcedilfrac12jaring ocirc|adOumlcopytimesszlig_frac12jOcircaacutefcQZUcedil iacute ocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave admacrfj ^QMeJgZaringN H JLhQsNPfg^eJLhQVUiN H QVUPJOtilde[SXuumlStimesYa $ szliglOumlcopytimes)jaringsup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j|aacutefcQZUcedil iacute uumlStimesa $ ragrave3frac12ba $ jszliglOumlutimes agrave3frac12sup1a $ jj uuml]timesa $ szliglOumlcopytimesdjagrave admacr j^QMeJaumlYZMNiKEgraveJOtilde^eJLhQU~N H QVUPJOtilde[SXOcircuuml]timesa $ szliglOumlutimes)jaring

uumlnotraquotimes a $ szliglOumlcopytimesUcircszlig_frac12 jaacutefcQZUcedil iacute uumlStimesYa $ szliglOumlutimesragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave admacrS]j

uumlnyacutenthornnyumll13YSordmY_Fordfy

yenKbrvbarsect =4 acirc $ hq centUWQR[]jYZfVmSe-centmaJkBKNPO^QcO[ admacr jUacuteNPbLbn[Ph^QcOF[ H [hdY H [Phd^eJLhordfNmBfR[PhordfXiacute[PhlZtimesjfcNeWFJaumlMNUPJSaring sup1uumlStimesYa $ szliglOumlcopytimesUcircszlig_frac12 jaacuteAumluumlnotraquotimes a $ szliglOumlcopytimesszlig_frac12jhuumlStimesa $ szliglOumlcopytimes)j frac12sup1a $ j admacrj J H MeJUOabn[]ZOslashK-j H JZOslash[PhJaumlKhZJUbLQcYZJUfVm H MJ0jfRJLhQcNPO ^eJLhdQVU~N H QUPJauml[SXcopyocirc|adOumlcopytimesdj^ JMNUPJSaringocircOcircadOumlutimesaagravejj ocircOcircadOumlutimes)jagrave aacute fagrave = thorn yuml uuml times a $ aagravejszliglOuml times aagravejj $ uuml times a $ szliglOuml times j $ FH admacrSmacr]j5O H MJohY H QcO H J[PhdNPfdeltWFJZaringN`PJ H MeJU~NihdQcNicentfRJ bMNPO[PJ $ aagravejaacute $ agrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacuteethicirc7a2atildeshyszligaumlFjszligicirc cent a2atildeltszligaumlj eWMQcbdM[]QVUPJUYaring thorn yuml uuml]timesYa $ aagravejszliglOumlcopytimesYaagravejj $ aacute admacrS]j

5 uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlutimes agrave3frac12sup1a $ jjlt^eJ H ocirc a $ jlt $WMJLhZJocirc a $ jQcY H MeJgXiacute[]fcfR[WQcO[aringSNPbn[PcentQcNPOtZaringN H hdQkKaring

ocirc a $ jaacute oacute fcedilxagrave frac14 iacute oslashfrac14Uordm agrave frac14 iacute oslashfrac14 ugraveagrave frac14 iacute acircfrac14ordm fcedil agrave frac14 iacute acircfrac14 ugrave ocircNPO^ YZ[eFWNtildeJIacuteMNUPJSaring

^eJ H ocirc a $ jOcircaacute fUragravee^QVUKafrac34frac12sup1a $ jjragrave cent ^eJ H amacr frac12sup1a $ jjMJUOWNtildeJauml[Pcent H NPQcOOaring

fsQZcedil iacute ^eJ H ocirc a $ j fagrave aacute ^QVUKafrac34frac12sup1a $ jj admacr]zSjMJJBjN H QR[]OxadmacrSmacr]j H MeJUOcent=JUbn[]ZaringJUYaringocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave aacute fagrave middot uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jjlt 13raquo ocirc a $ jlt $ uumlStimesa $ szliglOumlcopytimesAj $ admacrSi]j JTbLNPO`YZjeKKEgrave[]YJ H MN H ^eJ H aocirc a $ jjfrac14aacute sfrac12 agrave frac12 $ ^ JZaringNm H MeJUO H N`PJ^eJ H aocirc a $ jjfrac34 s eNPO^ WNtildeJ ^eJUPJUfR[PK H MeJaJkWKhZJUYYZQR[]OadmacrSi]j NPYoX[]fsfR[WQsO[centmNP^^QcO[aringN H JLhZ QcO H MeJIacuteYZJUbn[]O^aQcO H J[PhNPfltWMQcfcJaumlYZjeKKhJUYZYZQcO[ H MeJtimesYZNSZOslashJ H JLhlZQcO H MJordfhY H QcO H J[PhNPfdaring ocirc|adOumlcopytimesYaagravejj ocirc|adOumlcopytimes)jagrave aacuteegraveOtildef1rOtilde cent admacrSh]j

uumlnyacutenthornnyumll13YSordmY_Fordf

s $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJSaring

Otilde aacute uuml]timesa $ ragrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave ^eJ H aocirc a $ jj $ ad s jOtilde cent aacute uuml]timesa $ szliglOumlcopytimesdj ^eJ H aocirc a $ jj fagrave $ adfj

9J H jY_ZaringN`PJordmagrave H JUO^ H [WNih^Y s ^curreniquestYZQcO[frac34admacrjiexclNPO^JOQ H Qc[]OYadmacr e macrS]jeWFJ[PJ H aringfcQZUcedil iacute Otilde aacute sup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j $

aacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ uuml times a $ szliglOuml times j frac12sup1a $ j $fcQZUcedil iacute Otilde cent aacute uuml]timesa $ szliglOumlcopytimesdj^QVUKafrac34frac12 j $

O^ Y[Xiacute[Ph H MeJgNtildejfRJLhQsNPO ^eJLhQVUiN H QVUPJSeWFJgO^Oaring ocirc|adOuml times szlig_frac12jumlaacuteyacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ amacrreguumlStimesYa $ szliglOumlcopytimes)j frac12sup1a $ j7 uuml]timesYa $ szliglOumlcopytimes)j^QVUKafrac34frac12sup1a $ jjj $aacute uumlnotraquotimes a $ szliglOuml times szlig_frac12j $ ^QVUKaduuml times frac12j $ ad j

MeJUO NiKKfVmWQcO[ H MJ hJLJUOWVAQRJZ NPOO H MeJL[PhZJZQcO ad jeWNtildeJ5ONPfcfmtimes[Pcent H NPQcOOaring ocirc|adOumlcopytimesszlig_frac12jOcircaacute uuml raquotimes a $ szliglOumlcopytimesUcircszlig_frac12j $ uacutefrac14 5 uuml]timesYafrac34frac12 eacuteAgraveiquestsup1AacuteAtildeAcircj THORN adS]jWMJLhZJ5eacuteAgraveiquestsup1AacuteAtildeAcircyQcY H MeJUacutejOQ H QcOOgraveWNih^ Oe[PhlZaringNPf H [ aelig OumlcopytimesUcirc^MeJ_NtildejfRJLhQcNPO ^eJLhQVUiN H QVUPJQcY(O[ H JU^ ocirc raquo aagravej(QcO H MeJaumlKNiKEgraveJLhNPO^ H MeJaumlYZMNiKEgraveJauml^eJLhQU~N H QVUPJyuuml raquotimes QcY(Oe[ H JU^ frac14 frac14 ^iquest acutemicrosup1cedilFLft not [PhyYQZOslashKfcQsbLQ H mSeWNtildeJ(bM[[]YJ H MeJcopyXiacute[]fcfR[WQcO[_U~NihQsN H QR[]OaeligQcO H MeJKhZ[B[SXaring$ aagravejaacute $ agrave3frac12sup1a $ j^MJiexclKh[[SXZaringNm NPfcYZ[IacutecentEgraveJiexcl^JUPJUfR[PKEgraveJU^WiexclQ H MZaring[PhZJ_[PJUOJLhNPfUiNihQcN H QR[]OYFYjbM NPYaring $ aagravejaacuteAacuteAgravea $ szligYagravejWQ H MAcircAgrave`NOslashYYZOslash[B[ H MXiacutejOb H QR[]ONPO^AcircAgravea szligYagravejcentQ ~5JUb H QVUPJS^

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ ffrac12OcircacuteIshyNT AcircE J(MNUPJ H [Otildebn[]ZOslashK-j H J H MJNtilde^QEgraveJLhZJUO HH JLhZaringY9[SXQa macr]j9QsOauml[Ph^eJLh H [Uacute[Pcent H NPQcO H MeJ

JUP[]fcj H QR[]OJBjN H QR[]O[SX H MeJ NPb H QUPJ bn[]O H []jehX[Ph H MeJ ^JUYZbnhQRK H [PhdYaumlcentNPYJU^Oacute[]OH MeJ(bn[U~NihQsNPObnJ ZaringN H hQVktimes^eJ H JLhlZ QcONPO H a2Ograveh]j^OgraveMeJ(bn[]ZOslashKj H N H QR[]OaringQcYampKEgraveJLhYXiacute[PhlZOslashJU^Xiacute[Ph H MeJIacute^eJUYZbnhQRK H [Ph_uuml thorn timesOslash yuml ^ q centUWQR[]jYZfmSeN YZQZ QcfcNihbn[]ZOslashKj H N H QR[]OabLNPOacent=JIacute^e[]OeJXiacute[PhOcircuuml thorn UgraveUcircUacuteUuml yuml ^ JiexclbLNPOaeligJkBKhJUYZYOcircuuml thorn timesOslash yuml NPYyNUacutebn[]ZTcent-QcON H QR[]Oaelig[SXgtXiacutejOb H QR[]OYamp^eJLKEgraveJUO^QcOF[[]O H MJOtildehZJ[]QR[]OwOuml timesOslash aring

uumlgtthorn times Oslash yuml a2atildeltszligaumlgtszligYagravejaacute`Ograveoacute m thorn timesOslash yumlaIgraveagrave thorn timesOslash yumlAtilde j cent ocirc adjWMJLhZJordmaacuteAuml85eWiexclQ H MAring8 H MeJordfXqjOb H Qc[]O QcO H h[B^jbnJU^ QcOpounda2Ograveh]je-NPO^aringm thorn timesOslash yuml aacute agrave thorn timesOslash yuml agrave thorn timesOslash yumlcent agrave thorn timesOslash yuml agrave thorn timesOslash yumlAElig agrave thorn times Oslash yumlCcedil agrave thorn timesOslash yumlEgrave agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlEgrave j cent agrave thorn times Oslash yumlcent aIgraveagrave thorn timesOslash yumlCcedil j cent agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlAElig j centWQ H MOaring EFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFH

agrave thorn timesOslash yuml aacute w$ thorn yuml aOtilde S times Oslash j cent atilde aumlagrave thorn timesOslash yumlcent aacute w$ thorn yuml aOtildeOgravecent Scenttimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yuml aacute w$ thorn yuml aOtildeS Stimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yumlAElig aacute w$ thorn yuml aOtilde S times Oslash jaOtildeOgravecent ScenttimesOslash j atilde aumlagrave thorn timesOslash yumlCcedil aacute w$ thorn yuml aOtilde S times Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlEgrave aacute w$ thorn yuml aOtilde cent S centtimes Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlAtilde aacute w$ thorn yuml atilde auml O^ Y[ H MJordfXiacutejOb H QR[]OY aelig thorn timesOslash yumlauml MNUPJ H MeJgXiacute[]fcfR[WiexclQcO[aeligJkBKhZJUYZYZQR[]OYaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

aelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlcent aacute aOtilde cent S centtimesOslash j centaelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlAElig aacute aOtilde S timesOslash jaOtilde cent S centtimesOslash jaelig thorn times Oslash yumlCcedil aacute aOtilde S timesOslash jaOtilde S timesOslash jaelig thorn times Oslash yumlEgrave aacute aOtildeOgravecent ScenttimesOslash jaOtilde13 StimesOslash jaelig thorn times Oslash yumlAtilde aacutemiddotf

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBnot h[]Z H MeJUYJaumlJkWKhZJUYYZQR[]OYeWFJOtildeJUNPYZQcfm ^eJU^jbnJ H MN H aring

$ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde aumlregaacute sEacutefrac12poundEcirc iuml

J H MeJUO MNUPJ H [Tbn[]ZaringKj H J H MeJ H JLhlZaringY eacute thorn times Oslash yumlauml XiacutehZ[]Z H MeJJkWKhZJUYZYQR[]OYamp[SXagrave thorn timesOslash yumlauml eWMQcbM fRJUNP^Y H [aringEFFFFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFFFFH

eacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideoslash aacute w$ thorn yuml uacute ouml $ordfdivideacirc uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIgrave yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H a timesOslash jjeacute thorn timesOslash yumlcent aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideacirc

aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIcirc yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideEuml aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideacirc thorn thorn uacute ouml $_divideIuml yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yumlAElig aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIuml aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideEuml uacute ouml $ordfdivideIuml thorn uacute ouml $_divideIcirc uacute ouml $ordfdivideIgrave yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlCcedil aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIcirc aacute w$ thorn yuml cent thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideacirc uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlEgrave aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIgrave aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideoslash uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlAtilde aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIacute aacute w$ thorn yuml thorn +ETH ouml $_dividethorn uacute ouml $ordfdivideIacute yuml Iuml 8 raquo aq^J H a timesOslash jj

O^centmJkWKhZJUYZYZQsO[ H MeJbn[UiNihQcNPObnJZaringN H hQVkpoundWQ H M H MJregXqjOb H QR[]OYagrave thorn timesOslash yumlauml NPYXiacute[]fcfR[WQcO[aring

timesOslashlaquoaacute 1NtildeNtildeNtildeNtildeNtildeNtilde3uacute ouml $ordfdivideoslashuacute ouml $ordfdivideIacute uacute ouml $_divideIumluacute ouml $_divideIacute uacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIumluacute ouml $ordfdivideIacute uacute ouml $_divideacircuacute ouml $_divideIacute uacute ouml $ordfdivideIgraveuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacute uacute ouml $_divideIgraveuacute ouml $_divideIacute uacute ouml $ordfdivideEumluacute ouml $ordfdivideIacute

6OgraveOgraveOgraveOgraveOgraveOgrave7 J H MJUO^eJU^jbnJSaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

eacute thorn times Oslash yuml aacute a fj thorn yuml ^eJ H aDC Ptimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlcent aacute a fj thorn centcent yuml ^eJ H aDC centcenttimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yuml aacute a fj thorn curren yuml ^eJ H aDC 4times Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlAElig aacute a fj thorn cent yuml ^eJ H aDC centtimes Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlCcedil aacute a fj thorn curren yuml ^eJ H aDC times Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlEgrave aacute a fj thorn centcurren yuml ^eJ H aDCcent4times Oslash j48 raquo aq^eJ H a timesOslash jjeacute thorn times Oslash yumlAtilde aacute amp^eJ H a timesOslash j48 raquo aq^eJ H a timesOslash jj

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ SWMJLhZJC EBtimesOslash QcY H MeJgZaringN H hdQk ^eJU^jbnJU^Xh[]ZOacutetimesOslasharingcentm YZjeKKhZJUYZYZQcOF[ H MeJyuuml UumlON hZ[WNPO^ H MJ I UumlON bn[]fcjFZaringOO^]MeJbn[]ZOslashKj H N H Qc[]OordmX[Ph H MeJ^eJUYZbnhdQRK H [Ph|uuml thorn UgraveUcircUacuteUuml yuml QcYyYQZaringQcfcNihNPO^WFJ H MeJUOOslashMNUPJNPfcf H MeJ(JkWKhZJUYZYZQc[]OY H [aumlbn[]ZOslashKj H J H MeJJUP[]fcj H QR[]OaeligJjN H QR[]OXiacutehZ[]Z H MeJg[PJUOJLhNPfOXiacute[PhlZIacutejfcNta macr]j^gtMQcYcopy[]QVUPJUY H MeJTJUP[]fcj H QR[]O JBjN H QR[]Osup1admacr s j^

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBΩ out

Objects

Γ

inΩ

inΩ

Background Part

-t not Upv copy ETHEgraveIcircAtildeampAacuteiacuteCcedil=AumlFcedilAtilde5ordm|sup1Aumldraquo~AElig9AumldOgravefrac14raquoUacutesup1Igravefrac14dordm|Atilde

Ω

Ω out (τ)Ω

(τ)in

N

Γ(τ)

Ω

N

v

w

N

-t not Upv ETHEgraveIcircAtildeyEcircAumldIgravefrac14dsup1raquo~AEliggfrac14raquoiEcircAacuteIcircAtilde$AcircnAtilde5AgraveAacuteAumlcedilAEliggsup1raquoUAcircnAumldfrac12AcircnAtildeEcircsup1raquoiexclAacuteIcirc~Atilde$EcircAtildecedilsup1Acirc|frac14ZAacutesup1Aumldraquo

uumlnyacutenthornnyumll13YSordmY_F2ordf

yenKbrvbarsect =4 acirc $ Smacr

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 Atilde|IumligraveAacuteAtildecedil4frac14ZAacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvyzU eacuteWsup1ordm|AringcedilAtilde5AEligfrac14iquest Eacuteiquest AgraveJ]iUumlAcircnAumldfrac12AringAacutesup1Auml|raquoOtildeAumlOgraveeAacuteIcirc~Atildeyfrac14dAgrave Aacutesup1Acirc|Atilde0AgraveAuml|raquoLAacuteAuml|AringcedilIgravefrac14raquoifrac14ordm|AtildeEcircUacuteEacuteLfrac34AacuteIcirc~AtildefTHORN$Uuml v qzqwsup1raquo~Agrave5frac12AringiEcircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquoifrac14frac12ampAacuteAtildecedilIgrave(AElig5IumlgeacuteWsup1ordm|AringcedilAtilde5AEligOtildeEcirc]iquest Atildediquest Ograve] g sup1AEligwAringifrac14frac12sup1Ocirc5frac14Aacutesup1Auml|raquo`AumldOgrave0AacuteIcirc~AtildeTAgrave5AumldcedilwcedilAtilde5AEligwOumlPAumldraquoiEcircsup1raquoordmAcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 OgraveuAring~raquoAgraveAacutesup1Auml|raquosup1raquo~Agrave5frac12Aring~Ecircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquo~frac14dfrac12ampAacuteAtildecedilIgrave(AEligraquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirc EacutePAtildeAacuteiacuteCcedil=Atilde5Atilde5raquo ugrave frac14draquoiEcirc divide JUiquestAEligwAring~Agrave4IcircTAacuteIcirc~frac14Aacute$AacuteIcircAtilderaquo~Atilde5ordm|frac14Aacutesup1AcircnAtildeAcircdfrac14dfrac12AringAtilde5AElig0frac14cedilAtildefrac12AumlCcedilEgraveAtildecedilyAacuteIcirc~frac14draquo uacutedivide Uacutefrac14raquoiEcircaumlAacuteIcirc~AtildeOumlPAumldAEligwsup1Aacutesup1AcircnAtilde(Aumldraquo~Atilde5AEligyfrac14ZcedilAtilde(Icirc~sup1ordm|IcircAtildecedilAacuteIcircifrac14raquo uacuteZdivide Iuml

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

Ecirc]Iumligraveraquo~sup1currenAacutesup1frac14dfrac12BAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 Atilde|IumligraveAacuteAtilde cedil4frac14Aacutesup1Auml|raquo ugravedugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not Upv ucirc eacuteWsup1ordmdAringcedilAtilde5AEligtimesfrac14iquest Eacuteiquest AgraveJ]ampUumlAcirc|Auml|frac12AringAacutesup1Auml|raquoAumlOgrave(AacuteIcirc~Atildearingfrac14AgraveAacutesup1AcircnAtildeOslashAgrave5Auml|raquoLAacuteAumldAringcedilIacuteIgravefrac14draquoifrac14ordm|AtildeEcirc`EacuteUfrac34AacuteIcircAtildeOcircfTHORN$Uumlv q w iquestiexclCcedilgsup1currenAacuteIcirc~AumldAringAacuteAacuteIcirc~Atildefrac14dEcirc~Ecircsup1Aacutesup1Aumldraquoifrac14dfrac12TAacuteAtildecedilIgrave(AElig5IumliexcleacuteWsup1ordm|AringcedilAtildeAElig Ecirc]iquest Atildediquest Ograve] g sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo AumlOgraveaeligAacuteIcirc~AtildeAgraveAumldcedilwcedilAtildeEumlAEligwOumlPAuml|raquo~Ecircsup1raquo~ordm AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 OgraveregAring~raquo~Agrave Aacutesup1AumldraquoeumlCcedilgsup1currenAacuteIcirc~Auml|AringAacuteIacuteAacuteIcircAtilde frac14|Ecirc~Ecircsup1currenAacutesup1Aumldraquoifrac14frac12FAacuteAtildecedilIgrave(AElig v raquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirceumlAEligwAring~Agrave4Icirc AacuteIcirc~frac14AacuteIgravefrac14icirc vOOtilde wpOumldivide z w Iuml

uumlnyacutenthornnyumll13YSordmY_F2

S $amp)(+-)013021+345627893lt=gt9A6CB

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIumligravesAacuteAtildecedil4frac14Aacutesup1Aumldraquogt ugrave|ugrave AgravedIumlieacuteWsup1raquoifrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12Acirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 AtildedIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIumlieacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvtimesLg sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo(AumldOgravePAacuteIcirc~AtildeAtildeAcircnAuml|frac12AringAacutesup1AumldraquoAumldOgravePAacuteIcircAtildeEgraveAgrave5Auml|raquoLAacuteAumldAringcedil-frac14draquo~EcircNtildeAacuteIcirc~AtildeEgraveAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 v Ccedilgsup1AacuteIcircAuml|AringAacuteAacuteIcircAtildeEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircFAacuteAtilde cedilIgrave w OgraveregAumldcedilEgraveAacuteIcircAtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoAumlOgraveAacuteIcircAtilde9Ograveufrac14dAgrave5AtildeAring~AEligwsup1raquo~ordmyAacuteIcirc~Atilde9Agrave5AumlZAcirc|frac14Zcedilsup1frac14draquo~AgraveAtildeIgravefrac14Aacutewcedilsup1currenicirc]Iuml

frac14Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcircnAtilde EacuteIumligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 v AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde w Agrave|Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacutefrac34 v Acircdfrac14cedilsup1frac14draquoAgrave5Atilde w-t not Upv h=AumldIgrave(Oumlifrac14cedilsup1AEligwAumldraquoOtildeAumldOgraveAacuteIcirc~Atilde$sup1raquo~sup1currenAacutesup1frac14dfrac12eAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34iexclAgrave5Auml|Igrave(OumlAringAacuteAtildeEcircAringAEligwsup1raquo~ordmAacuteIcirc~Atilde$AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde0Igravefrac14Aacutewcedilsup1currenicircv iordmdAringcedilAtildeFEacute w AacuteAumliexclAacuteIcircAtildeAuml|raquoAtildeFAgrave5AumldIgrave(Ouml~AringAacuteAtildeEcircTAringAEligwsup1raquo~ordmiexclAacuteIcircAtildeFAcircdfrac14cedilsup1frac14draquoAgrave5Atilde v ~ordm|AringcedilAtildeFAgrave w OgraveregcedilAumldIgrave AacuteIcirc~AtildeNtildeAEligfrac14dIgrave(Atildesup1raquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcirc|Atilde v iordmdAringcedilAtilde$frac14 w Iuml

uumlnyacutenthornnyumll13YSordmY_F2_a

yenKbrvbarsect =4 acirc $ ]z

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv Oslash| THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5AtildeccediliacuteAtildecedilsup1UgraveUegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_o

Si $amp)(+-)013021+345627893lt=gt9A6CB

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv ordf THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5Atildeccedilqfrac14dUgraveUsup1currenfrac34LAumldegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_y

RR-0114-SJEHANpdf
  • wwwi3sunicefr
    • httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf
Page 6: LABORATOIRE INFORMATIQUE, SIGNAUX ET SYSTEMES DE …mh/RR/2001/liste-2001.pdf · 2002. 6. 27. · [Dir01] DIRAT L. “Outils pour des Mathématiques Interactives et Distribuées”

LABORATOIRE I3S Les Algorithmes Euclide B ndash 2000 route des Lucioles ndash BP 121

06903 Sophia Antipolis Cedex ndash Teacutel (33) 492 942 701 ndash Teacuteleacutecopie (33) 492 942 898 httpwwwi3sunicefrI3SFR Pour tout renseignement srsquoadresser agrave Micheline Hagneacutereacute Teacutel (33) 492 942 704 ndash email mhi3sunicefr

RR 00-14 MUHAMMAD W RIX H MESTE O LIEBERT A

ldquoModeacutelisation du Test drsquoOcclusion en Doppler-Laserrdquo Rapport de Recherche ndeg I3SRR--2000-14--FR Deacutecembre 2000 7 pages

RR 00-15 MUHAMMAD W MESTE O RIX H

ldquoComparison of Single and Multiple Time delay Estimators Application to Muscle Fiber Conduction Velocity Estimationrdquo Research Report I3SRR-2000-15--FR December 2000 30 pages

RR 01-01 MIRBEL I DE RIVIEgraveRES V

ldquoUML ad-hoc une deacutemarche modulable drsquoanalyserdquo Rapport de Recherche I3SRR-2001-01--FR Janvier 2001

RR 01-02 FARREacute J FORTES GALVEZ J

ldquoBounded-Connect Noncanonical Discriminating-Reverse Parsingrdquo Research Report I3SRR--2001-02--FR March 2001

RR 01-03 FORTEgraveS GALVEZ J FARREacute J

ldquoGeneralized e-Skip Discriminating-Reverse Parsing on Graph-Structured Stackrdquo Research Report I3SRR--2001-03--FR March 2001

RR 01-04 CAPOUILLEZ A CRESCENZO P LAHIRE P

ldquoOFL lrsquoHyper-Geacuteneacutericiteacute au service du Meacuteta-Programmeur Application agrave Javardquo Rapport de Recherche I3SRR--2001-04--FR March 2001 12 pages

RR 01-05 MIRBEL I DE RIVIEgraveRES V

ldquoTowards a UML Profile for Building on Top of an Existing Applicationrdquo Research Report I3SRR--2001-05--FR March 2001

RR 01-06 CRESCENZO P

ldquoOFL les relations et descriptions drsquoEiffel et de Javardquo Rapport de Recherche I3SRR--2001-06--FR Avril 2001 24 pages

RR 01-07 CAPOUILLEZ A CRESCENZO P LAHIRE P

ldquoSeparation of Concerns in OFLrdquo Research Report I3SRR--2001-07--FR Avril 2001 9 pages

RR 01-08 FRANCISCI D

ldquoData Mining et Algorithmes Eacutevolutionnairesrdquo Rapport de Recherche I3SRR--2001-08--FR Mai 2001 46 pages

RR 01-09 FARREacute J FORTEgraveS GALVEZ J

ldquoBounded-Connect Noncanocical Discriminating-Reverse Parsingrdquo Research Report I3SRR--2001-09--FR March 2001 13 pages

RR 01-10 FORTEgraveS GALVEZ J FARREacute J

ldquoGeneralized e-Skip Discriminating-Reverse Parsing on Graph-Structured Stackrdquo Research Report I3SRR--2001-10--FR March 2001 9 pages

RR 01-11 MICHEL C RUEHER M LEBBAH Y

ldquoGraphical user Interfaces with Biglookrdquo Research Report ndeg I3SRR--2001-11--FR Septembre 2001 16 pages

LABORATOIRE I3S Les Algorithmes Euclide B ndash 2000 route des Lucioles ndash BP 121

06903 Sophia Antipolis Cedex ndash Teacutel (33) 492 942 701 ndash Teacuteleacutecopie (33) 492 942 898 httpwwwi3sunicefrI3SFR Pour tout renseignement srsquoadresser agrave Micheline Hagneacutereacute Teacutel (33) 492 942 704 ndash email mhi3sunicefr

RT 01-12 SERRANO M Ed

ldquoSCHEME 2001 - Workshop Proceedings - Second Workshop on Scheme and Functional Programming September 2 2001 Florence Italy Technical Report ndeg I3SRT--2001-12--FR Septembre 2001 73 pages

RR 01-13 GALLEacuteSIO E SERRANO M

ldquoGraphical user Interfaces with Biglookrdquo Research Report ndeg I3SRR--2001-13--FR Septembre 2001 38 pages

RR 01-14 JEHAN-BESSON S BARLAUD M AUBERT G

ldquoDREAM2S Deformable Regions driven by an Eulerian Accurate Minimization Method for image and video Segmentationrdquo Rapport de Recherche ndeg I3SRR--2001-14--FR Novembre 2001 38 pages

RR 01-15 COLLET P

Fiabiliteacute des systegravemes agrave objets persistants les assertions persistent Rapport de Recherche ndeg I3SRR--2001-15--FR Janvier 2001 16 pages

RR 01-16 COLLET P ldquoOn Contract Monitoring for the Verification of Component-Based Systems Rapport de Recherche ndeg I3SRR--2001-16--FR Octobre 2001 5 pages

RR 01-17 COLLET P ldquoFunctional and Non-Functional Contracts Support for Component-Oriented Programming Rapport de Recherche ndeg I3SRR--2001-17--FR Octobre 2001 3 pages

mh
I3SRR--2001-14--FR

httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf

Document seacutecuriseacute incorporeacute

Le fichier httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf est un document seacutecuriseacute incorporeacute dans le preacutesent document Cliquez deux fois sur le bouton pour lafficher

httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf [27062002 110813]

LABORATOIRE

INFORMATIQUE SIGNAUX ET SYSTEgraveMESDE SOPHIAANTIPOLIS

UMR 6070

DREAM2S DEFORMABLE REGIONS DRIVEN BY ANEULERIAN ACCURATE M INIMIZATION METHOD FOR

IMAGE AND VIDEO SEGMENTATION

Stephanie JEHAN-BESSON Michel BARLAUD Gilles AUBERT

Projet CREATIVE

RapportderechercheI3SRRndash2001-14ndashFR

novembre 2001

LABORATOIRE I3S LesAlgorithmes EuclideB ndash 2000routedesLuciolesndash BP 121ndash06903Sophia-Antipolis Cedex Francendash Teacutel (33) 492942701ndash Teacuteleacutecopie (33) 492942898

httpwwwi3sunicefrI3SFR

REacuteSUMEacute

MOTS CLEacuteS Contours actifsbaseacutes reacutegions optimisation de domaine segmentation non superviseacutee deacutetection de visage deacuteter-minant dela matricedecovariance

ABSTRACT Originally active contours wereboundary-basedmethods They weredriven towardstheedgesof animagefromtheminimization of a criterionwith only boundary-basedtermsThemainpurposeof region-basedactive contours is to maketheactivecontour evolveusinginformationontheregionsin addition to theclassicalboundary-basedinformation

We proposeherea generalEulerian framework for region-basedactive contours namedDREAM2SWe introducea generalcriterion includingbothregion-basedandboundary-basedtermswheretheinformationontheregionsis embeddedin afunctionnameddescriptor Theoriginality of thiswork is twofold Firstly weproposeto useshapeoptimization principlesto computetheevolution equationof theactivecontour thatwill makeit evolveasfastaspossibletowardsaminimumof thecriterionSecondlywe take into account thevariationof thedescriptors during thepropagationof thecurve Indeed a descriptor maybegloballyattachedto the region andthusregion-dependentIt happens whenstatisticalfeatures of a region like for example the meanor thevariance of a region areselectedasdescriptors We show that thedependenceof thedescriptors on the region inducesadditional termsin theevolution equationof theactive contour thathave not beenpreviously computed DREAM2S gives aneasyway to takesuchadependenceinto account andto computetheresultingadditional terms

Experimental resultspoint out the importanceof the additional termsto reacha true minimum of the criterion andso toconverge on accurate results The covariancematrix determinant appears to be a very relevant tool for homogeneous colorregionssegmentationAs anexample it hasbeensuccessfullyappliedto facedetectionin realvideosequences

KEY WORDS Region-basedactivecontoursshapeoptimizationunsupervisedsegmentationfacedetection covariancematrixdeterminant

13 $ amp()+$-0123(4-5766-398( 1 lt=98ampgt8BA(0)CD ampE()gt+F)-0-amp=$8B98amp

GBHBIJLKMNPOQRJTSPJUMNPOWV4XFJUYZY[]ONPO^`_aQcbdMeJUfgXNihfcNPj^kBlnmodpqldrsodtupwvyx z|~B9iZ]nn pqodUrvFLv ke~tRo|v n|L zio UtclF9~rRt o| tuBpwldi4v vld~cmldp ldZP=tRz|U~tR v p QsfcfRJUY iexcljcent=JLh HkBlnmodpqldrsodtupwvFpoundcurren0]yenamptsv nod$brvbarv 9BiZPampUsect9lpwTumll| pqodvnncopynordf tc4v-vwLvwlaquo Bpwldi4vnot ldm4v p r=shyldrreg~Utc4v p

macrdegWplusmn5sup25sup3Zacuteimicro|sup2|para7middotcedilsup1ordm|sup1raquo~frac14dfrac12frac12currenfrac34Liquestefrac14dAgrave Aacutesup1Acirc|Atilde(Agrave5Auml|raquoLAacuteAuml|AringcedilAElig$CcedilEgraveAtildecedilAtilde(EacutePAumldAring~raquoiEcircfrac14cedilwfrac34UEumlsEacuteifrac14AEligwAtildeEcircIacuteIgrave(AtildeAacuteIcircAumlUEcircAElig5IumlETHEgraveIcirc~Atilde frac34TCcedil=AtildecedilAtildeEcirccedilsup1AcircnAtilde5raquoNtildeAacuteAumlZCcedilEgravefrac14cedil4EcircAElig=AacuteIcirc~AtildegAtildeEcircordm|Atilde5AEligEgraveAumlOgravefrac14draquosup1Igravefrac14dordm|AtildegOgraveregcedilAumldIgraveOacuteAacuteIcircAtildeIgrave(sup1raquosup1Igrave(sup1Ocircfrac14ZAacutesup1Auml|raquo(AumldOgravefrac14yAgravecedilsup1currenAacuteAtildecedilsup1Auml|raquo(Ccedilgsup1currenAacuteIcircAuml|raquo~frac12currenfrac34EacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircOtildeAacuteAtildecedilIgrave(AElig5IumlETHEgraveIcirc~Atilde(Igravefrac14sup1raquotimesOuml~AringcedilOumlPAuml|AEligwAtildeAumlOgraveEgravecedilAtilde5ordmdsup1AumldraquoEumlsEacuteifrac14AEligwAtildeEcircOslashfrac14dAgrave Aacutesup1Acirc|AtildeAgrave5Auml|raquoLAacuteAumldAringcedilAEligysup1AEligyAacuteAumliexclAacuteAumlIgravefrac14dUgravenAtilde9AacuteIcirc~Atildefrac14dAgraveAacutesup1AcircnAtilde$Agrave5AumldraquoLAacuteAuml|AringcedilgAtildeAcircnAuml|frac12AcircnAtildeampAringAEligwsup1raquo~ordmFsup1raquoOgraveuAumldcedilIgravefrac14ZAacutesup1Auml|raquoUacuteAumldraquoiexclAacuteIcirc~AtildecedilAtilde5ordm|sup1Auml|raquoAElig5iquestisup1raquoUacutefrac14dEcirc~Ecircsup1Aacutesup1AumldraquoiexclAacuteAumlNtildeAacuteIcircAtildeAgrave5frac12frac14dAEligwAEligwsup1Agravefrac14frac12WEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircsup1raquoOgraveregAumldcedilIgravefrac14Aacutesup1AumldraquoIuml

Ucirc Atilde$OumlcedilAumldOumlPAuml|AEligwAtildeyIcirc~Atilde cedilAtildeyfrac14ordm|Atilde5raquoAtildecedil4frac14dfrac12BUumlAringfrac12Atilde cedilsup1Yacutefrac14raquoUacuteOgraveregcedil4frac14Igrave(AtildeCcedilEgraveAumlcedilUgraveiexclOgraveuAumlcedilcedilAtildeordm|sup1Auml|raquoEumlEacute~frac14dAEligwAtildeEcircOtildefrac14AgraveAacutesup1AcircnAtildeyAgrave5Auml|raquoLAacuteAumldAringcedilAEligraquoifrac14Igrave(AtildeEcircIacuteTHORNampszligUumlagraveampaacuteOtildeacirc5atildePIuml Ucirc Atilde(sup1raquoLAacutewcedilAumlUEcircAringAgrave5Atildefrac14aumlordmdAtilde5raquo~Atilde cedil4frac14dfrac12EgraveAgravecedilsup1currenAacuteAtildecedilsup1Aumldraquoiquestesup1raquo~Agravefrac12Aring~Ecircsup1raquo~ordmaumlEacutePAumlAacuteIcirctimescedilAtilde5ordm|sup1AumldraquoEumlsEacuteifrac14AEligwAtildeEcircfrac14draquo~EcirctimesEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircTAacuteAtildecedilIgrave(AElig5iquestBCcedilgIcircAtildecedilAtildeAacuteIcircAtilde(sup1raquoOgraveuAumlcedilIgravefrac14Aacutesup1Auml|raquoaringAumldraquoaeligAacuteIcirc~Atilde(cedilAtilde5ordm|sup1Aumldraquo~AEligFsup1AEligNtildeAtilde5IgraveFEacutePAtildeEcircEcircAtildeEcircTsup1raquofrac14OgraveregAring~raquo~Agrave Aacutesup1AumldraquoIacuteraquo~frac14dIgrave(AtildeEcircccedilqEcircAtilde5AEligwAgravecedilsup1OumlAacuteAumlcedilegraveIumlBETHEgraveIcirc~AtildeAumlcedilsup1ordm|sup1raquoifrac14frac12sup1currenAacutefrac34aeligAumldOgrave-AacuteIcirc~sup1AEligampCcedilEgraveAumlcedilUgraveaumlsup1AEligampAacuteCcedilEgraveAumlOgraveuAuml|frac12Ecirc]IumlWeacuteWsup1currencedilAEligqAacutefrac12currenfrac34LiquestCcedil=AtildeOumlcedilAumldOumlPAuml|AEligwAtildeyAacuteAumlAringAEligwAtildeNtildeAEligwIcirc~frac14dOumlPAtilde0Auml|OumlAacutesup1Igrave(sup1Ocircfrac14ZAacutesup1Auml|raquoaumlOumlcedilsup1raquo~Agravesup1Oumlfrac12Atilde5AEligAacuteAumlAgrave5AumldIgrave(Ouml~AringAacuteAtildeampAacuteIcircAtildeNtildeAtildeAcircnAuml|frac12AringAacutesup1AumldraquoTAtilde5ecircUAring~frac14Aacutesup1Auml|raquoOtildeAumlOgraveAacuteIcirc~Atilde9frac14dAgrave Aacutesup1Acirc|AtildeAgrave5AumldraquoLAacuteAuml|AringcedilAacuteIcircifrac14ZAacute=Ccedilgsup1frac12frac12PIgravefrac14dUgravenAtildegsup1currenAacute-Atilde5AcircnAuml|frac12AcircnAtildefrac14dAEligOgraveRfrac14AEligqAacutegfrac14dAElig-OumlPAuml|AEligwAEligwsup1Eacute~frac12AtildeAacuteAumlCcedilEgravefrac14cedil4EcircAEligEgravefrac14yIgrave(sup1raquosup1IgraveNtildeAring~IgraveeumlAumlOgraveAacuteIcirc~AtildeAgravecedilsup1currenAacuteAtildecedilsup1Auml|raquoIumliatildeAtildeAgrave5Auml|raquo~Ecircfrac12currenfrac34LiquestLCcedilEgraveAtildeampAacute4frac14UgravenAtildesup1raquoLAacuteAumlfrac14Agrave5Agrave5Auml|AringraquoLAacuteAacuteIcirc~AtildeampAcircdfrac14cedilsup1frac14Aacutesup1AumldraquoAumldOgraveBAacuteIcirc~Atilde$EcircAtilde5AEligwAgravecedilsup1OumlAacuteAumlcedilAEliggEcircAringcedilsup1raquoordmAacuteIcirc~Atilde$OumlcedilAuml|Oumlifrac14ordmnfrac14ZAacutesup1AumldraquoaumlAumldOgraveAacuteIcirc~AtildeyAgrave5AringcedilAcircnAtilde|IumligraveiacuteraquoiEcircAtilde5AtildeEcirc]iquestPfrac14(EcircAtildeAEligwAgravecedilsup1OumlAacuteAumldcedilIgravefrac145frac34EacutePAtildeyordmdfrac12AumldEacuteifrac14frac12frac12currenfrac34aumlfrac14ZAacutewAacute4frac14dAgrave4Icirc~AtildeEcircAacuteAumlAacuteIcircAtildecedilAtilde5ordm|sup1AumldraquoFfrac14raquoiEcircAacuteIcircUAring~AElig5iquestPccedilscedilAtilde5ordm|sup1AumldraquoEumlEcircAtilde5OumlPAtilderaquoiEcircAtilderaquoUAacuteegraveIumlZigraveAacuteIcircifrac14Ouml~OumlPAtilde5raquoAEligCcedilgIcirc~Atilderaquo0AEligqAacute4frac14ZAacutesup1AEligqAacutesup1Agrave5frac14dfrac12LOgraveuAtildefrac14ZAacuteAringcedilAtilde5AEligBAumldOgrave~frac14gcedilAtilde5ordmdsup1Auml|raquoiquestfrac12sup1Ugrave|AtildeFOgraveuAumlcedilFAtildeicircfrac14Igrave(Ouml~frac12AtildeNtildeAacuteIcircAtilde(Igrave(Atildefrac14draquoTAumldcedilyAacuteIcirc~AtildeFAcirc|frac14Zcedilsup1Yacutefrac14raquo~Agrave5Atilde(AumlOgrave9frac14iexclcedilAtilde5ordmdsup1AumldraquoiquestBfrac14cedilAtilde(AEligwAtilde5frac12Atilde5Agrave AacuteAtildeEcircOslashfrac14dAElig0EcircAtildeAEligwAgravecedilsup1OumlAacuteAumldcedilAElig5IumlUcirc AtildeAEligwIcircAumlCcedilAacuteIcirc~frac14AacuteyAacuteIcirc~AtildeEcircAtilde5OumlPAtilde5raquoiEcircAtilde5raquo~AgraveAtilde(AumldOgraveAacuteIcirc~AtildeEcircAtilde5AEligwAgravecedilsup1OumlAacuteAumlcedilAEligNtildeAumldraquotimesAacuteIcirc~AtildecedilAtildeordm|sup1Auml|raquoOslashsup1raquoiEcircAring~Agrave5AtildeAEligNtildefrac14dEcirc~Ecircsup1Aacutesup1Aumldraquoifrac14dfrac12AacuteAtildecedilIgrave(AElig=sup1raquoAacuteIcirc~AtildeAtilde5AcircnAuml|frac12AringAacutesup1AumldraquoAtildeecircLAring~frac14Aacutesup1Auml|raquoAumldOgraveAacuteIcirc~Atildeampfrac14AgraveAacutesup1AcircnAtildeampAgrave5AumldraquoLAacuteAuml|Aringcedil=AacuteIcircifrac14AacuteEgraveIcircifrac14AcircnAtilderaquoAumldAacuteEacutePAtildeAtilde5raquoiexclOumlcedilAtilde5AcircUsup1Auml|Aring~AEligwfrac12currenfrac34Agrave5Auml|Igrave(OumlAringAacuteAtildeEcirc]IumlTHORNampszligUumlagraveampaacuteOtildeacircatildeIacuteordm|sup1AcircnAtilde5AEligFfrac14draquoaeligAtilde5frac14dAEligqfrac34aeligCcedilEgravefrac14frac34TAacuteAumlUacuteAacute4frac14dUgrave|AtildeAEligwAringAgrave Icircaeligfrac14OtildeEcircAtilde5OumlPAtilde5raquo~EcircAtilde5raquoAgrave5Atilde(sup1raquoLAacuteAumlaumlfrac14dAgrave5Agrave5AumldAring~raquoLAacutefrac14draquo~EcircAacuteAumlAgrave5AumldIgrave(Ouml~AringAacuteAtildeAacuteIcirc~AtildecedilAtilde5AEligwAring~frac12currenAacutesup1raquo~ordmfrac14dEcirc~Ecircsup1currenAacutesup1Auml|raquo~frac14dfrac12]AacuteAtildecedilIgrave(AElig5Iuml

UumlicircOumlPAtildecedilsup1Igrave(Atilde5raquoLAacute4frac14dfrac12LcedilAtilde5AEligwAringfrac12currenAacuteAElig-OumlPAumldsup1raquoLAacute-Auml|AringAacuteAacuteIcircAtildesup1Igrave(OumlPAumldcedilwAacute4frac14draquoAgrave5AtildeAumldOgravePAacuteIcircAtildegfrac14|EcircEcircsup1currenAacutesup1Auml|raquoifrac14frac12AacuteAtildecedilIgrave(AEligeAacuteAumlcedilAtilde5frac14dAgrave4Icircfrac14AacutewcedilAring~Atilde-Igrave(sup1raquosup1IgraveFAring~IgraveAumlOgraveiAacuteIcirc~Atilde-Agravecedilsup1currenAacuteAtildecedilsup1Auml|raquo(frac14raquoiEcircyAEligwAumlAacuteAumlAgraveAuml|raquoUAcircnAtildecedilordmdAtildeEgraveAuml|raquoNtildefrac14dAgrave5AgraveAringcedil4frac14AacuteAtildeEgravecedilAtildeAEligwAring~frac12currenAacuteAElig5IumldETHEgraveIcirc~AtildeEgraveAgrave5AumlZAcircdfrac14cedilsup1frac14draquoAgrave5AtildeIgravefrac14Aacutewcedilsup1currenicirc0EcircAtilde AacuteAtildecedilIgrave(sup1raquoifrac14draquoLAacutefrac14Ouml~OumlPAtildefrac14ZcedilAEligeAacuteAumlEacutePAtildefrac14Acirc|Atildecedilwfrac34$cedilAtilde5frac12Atilde5Acircdfrac14draquoLAacuteeAacuteAumlLAuml|frac12UOgraveuAumlcedil-IcircAuml|Igrave(Aumldordm|Atilde5raquoAtilde5Auml|AringAEligeAgrave5Auml|frac12AumldcedilcedilAtilde5ordmdsup1Aumldraquo~AEligAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquoIumlagrave9AEligampfrac14raquoIacuteAtildeicircfrac14Igrave(Ouml~frac12Atilde|iquestPsup1currenAacute$Icirc~frac14dAEligampEacutePAtilde5AtilderaquoIacuteAEligwAringAgrave5Agrave5Atilde5AEligwAEligqOgraveregAring~frac12frac12currenfrac34Tfrac14dOuml~Oumlfrac12sup1Atilde5EcircaumlAacuteAumlOgraveRfrac14Agrave5Atilde(EcircAtilde AacuteAtilde5AgraveAacutesup1Auml|raquoTsup1raquocedilAtildefrac14dfrac12AcircUsup1EcircAtilde5AumlAEligwAtilde5ecircUAringAtilde5raquo~AgraveAtilde5AElig5Iuml

iumlethUntildeograve0oacute sup3ocircWplusmn|otildeszligAtildeordm|sup1Auml|raquoEumlEacute~frac14dAEligwAtildeEcircaringfrac14AgraveAacutesup1AcircnAtildeiexclAgraveAuml|raquoLAacuteAuml|AringcedilAElig5iquestAEligwIcircifrac14dOumlPAtildeiexclAuml|OumlAacutesup1Igrave(sup1Ocircfrac14ZAacutesup1Auml|raquoiquestWAring~raquo~AEligwAringOumlPAtildecedilAcircUsup1AEligwAtildeEcircOslashAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoiquestUOgraveRfrac14dAgraveAtildeyEcircAtildeAacuteAtilde5Agrave Aacutesup1Aumldraquoiquest~Agrave5AumlZAcirc|frac14Zcedilsup1Yacutefrac14raquo~Agrave5Atilde$Igravefrac14ZAacutewcedilsup1currenicircEcircAtildeAacuteAtildecedilIgrave(sup1raquoifrac14raquoLAacuteIuml

Agraveoumloslashdividedugrave|ugraveUuacute 9v vwldpq4Uacute9vop r-g nncopy copyucirc x z|iB9aumlio UtclF9~rRt o| tug]pwldi v

uumlnyacute|thornLyuml13

$amp)(+-)013021+345627893lt=gt9A6CBDFEHGIKJLMONQPltRSJT2MgtI

b H QVUPJOslashbn[]O H []jhYOtildeNihZJaeligKEgrave[WFJLhYXiacutejf H [B[]fcY5Xiacute[PhUacuteQCZaringN[PJOslashNPO^UBQc^JL[YZJ[]ZOslashJUO H N H Qc[]OO^G QsObnJ H MeJ[PhQV[]QcONPf_WF[PhY` []O YZON`PJUYbacaumlNPYZYaJ H NPfd^VegfhSiSi]jeiexclNPO Jk H JUOYQVUPJhZJUYZJUNihbMMNPYaeligcent=JLJUO7KEgraveJLhYXiacute[PhlZOslashJU^ H MN H fRJUNP^Y H [B^Nm H [ H MJjYJ[SXon5hJ[]QR[]OWVcentNPYZJU^NPb H QVUPJTbn[]O H []jehYYp^q hQV[]QcONPfsfVmSeNPb H QVUPJ bn[]O H []jehdYWFJLhZJ centEgrave[]jO^NihYmVcentNPYJU^bZOslashJ H Me[W^Yoaq jecentEgraveJLh HNPO^rcOtilde[PhdOeKhZ[PcentY H e sSs fj^ G ON`PJUYtacaumlNPYZYaeligJ H NPfd^VeufhSiSi]jeycent-NPfcfR[B[]OYoa)v[]MeJUOOefhShfj[Phw[PJL[W^eJUYZQcbNPb H QVUPJbn[]O H []jehdYxa)vNPYZJUfcfRJUY J H NPfd^VeyfhSh]zSj`NihZJOacute^hQVUPJUOH [WFNih^Y H MeJ JU^[PJUY [SXOtildeNPOQZaringN[PJS^|MeJ JUP[]fcj H QR[]OJjN H Qc[]O QcYOslashbn[]ZOslashK-j H JU^XiacutehZ[]ZNaumlbnhQ H JLhQR[]O H MN H []OfVmtimesQsObLfcj^eJUYNaumlfR[WbLNPfQcOFX[PhlZ N H QR[]Otimes[]O H MeJ(centEgrave[]jO^NihYm[SX H MeJauml[Pcent~JUb HH [ YZJ[]ZOslashJUO H ^MeJt`PJmQc^eJUNOacute[SXOtildehZJ[]QR[]OWVcent-NPYJU^ NPb H QVUPJeumlbn[]O H []jehYehY H fVmKh[PK=[]YZJU^ centma)vF[]MJUOTJ H NPfd^VefhShS[]OXqNih^OefhShje]QsY H [OtildeQcO H hZ[B^jbnJ0N_[]fR[PcentNPfBQcOXiacute[PhlZaringN H QR[]O[]O H MeJIacute^QV=JLhZJUO H hZJ[]Qc[]OY H [ YJ[]ZOslashJUO H QcOaNP^^Q H QR[]O H [ H MeJIacutecent=[]jO^NihYmVcentNPYJU^QcOFX[PhlZ N H QR[]OOe H [_ZaringN`PJ H MeJNtildeNPb H QUPJNtildebn[]O H []jehJUP[]fUPJS^iexcl[WFJUPJLhePQ H QcYgO[ H9H hQVUWQcNPfH [timesbn[]ZOslashKj H J H MeJJUP[]fcj H QR[]OaringJBjN H QR[]O [SX H MeJiexclNPb H QVUPJUacutebn[]O H []jeh H MN H WQcfsfZaringN`PJQ H JUP[]fUPJ H [WFNih^Y0NyZ QcOQZtimesjFZ[SXNTbnhQ H JLhdQR[]OOslashQcObLfcj^QcO[centEgrave[ H MOslashhZJ[]QR[]OWVcent-NPYJU^NPO^centEgrave[]jO^NihYmVcentNPYJU^ H JLhlZaringY^JUbnJUO H fmSeZaringNPOm KNiKEgraveJLhY MNUPJeumlNP^^ehZJUYYJU^ H MQsYOslashKhZ[PcentfcJZ^0 hZJUWQRJW [SXH MeJUYZJrZaringJ H Me[B^Y QsY`KhZ[PKEgrave[]YJU^1QcO G JUb^ ^ G []ZOslashJ[SX H MeJUYZJxWF[PhY`WY^e[ Oe[ Hbn[]ZOslashK-j H J H MeJ H MeJL[PhZJ H QcbLNPfJkWKhZJUYZYZQc[]O[SX H MeJUPJUfR[BbLQ H mUPJUb H [PhOtilde[SX H MeJtimesNPb H QVUPJbn[]O H []jehcentj H H MeJm bdMe[[]YZJ H MeJ ^QcYKfcNPbnJZaringJUO H H MN H WQcfcf_ZaringN`PJ H MeJbnhQ H JnVhQc[]O ^JUbnhZJUNPYJa)vMN`hNicentEgrave[Ph H m J H NPf)^VefhShSvMeJUYONPj^ J H NPfd^VefhShSh]j^ qH MeJLhWF[PhY`WYKh[PK=[]YZJ H MeJIacutebn[]ZaringKj H N H QR[]O`[SX H MeJUPJUfR[BbLQ H mUPJUb H [PhOtildecentm hZJU^jbLQcOF[ H MeJWM[]fRJOacuteKh[PcentfRJZ H [ centEgrave[]jO^NihYm QcO H J[PhdNPfcYxa)MjNPO^0jQcfcfcJSeyfhShSgampNihN~V[]QR[]Y`NPO^JLhQsbMeJSefhShSh]j[Ph`centm jYQcO[ H MeJ7fRJUPJUfTYJ H ZOslashJ H Me[W^a G NSZ Y[]OJ H NPf)^Ve sSsSs Ov(MNPONPO^$JUYZJSe sSs fj^OMeJm H MeJUOjYZJ H MeJyNtildejfRJLhVAN[PhNPO[PJJBjN H QR[]OY H [ bn[]ZOslashKj H J H MJaumlJUP[]fcj H QR[]OJjN H Qc[]OO^iexcl[WFJUPJLhe H MeJOtildeQcOXiacute[PhlZaringN H QR[]O []O H MeJauml^Q=JLhJUO H hZJ[]QR[]OYe H MN H WNtildeJaumlbLNPfsfMeJLhZJn^eJUYbnhQRK H [Phlp [SX H MeJIacutebn[PhhZJUYKEgrave[]O^QcOF[aringhZJ[]QR[]OOeKZaringNmacent=Jy[]fR[PcentNPfcfVm N HH NPbdMeJU^ H [H MeJ(hJ[]QR[]OO^S5O^eJLJU^OslashQ H [WbLbLjehYXiacute[Ph0Y H N H QcY H QcbLNPf^eJUYZbnhdQRK H [PhYampYZjbdMaringNPY H MeJ_ZOslashJUNPOOeH MeJUiNihQcNPObnJ[Ph H MJMQcY H [S[PhNSZ [SX H MeJ hZJ[]QR[]O^Q5O bLNPYJ [SXUacutejOYZjK=JLhlUBQcYZJU^YJ[]ZaringJUO H N H QR[]Oe H MeJUYZJ ^eJUYZbnhdQRK H [PhYIacuteNihZJ hZJnVJUiNPfcjN H JU^JUNPbM H QZaringJ H MeJ NPb H QVUPJbn[]O H []jehJUP[]fVUPJUYiexclNPO^aY[ H MeJmU~Nihlm^jehQcO[ H MeJIacuteKhZ[PKN[]N H Qc[]O[SX H MeJtimesNPb H QVUPJbn[]O H []jeh^yhZJUWQR[]jYWF[PhY`BYIacute[]O7hZJ[]QR[]OWVcent-NPYJU^NPb H QUPJbn[]O H []jehYaelig^e[eumlOe[ HIacuteH N`PJQcO H [ NPbLbn[]jO HaumlH MQcYKEgrave[]YZYZQRcent-fRJyUiNihQcN H QR[]Oeuml[SX H MeJaring^eJUYbnhQRK H [PhY H [bn[]ZOslashK-j H J H MeJJUP[]fcj H QR[]OJjN H QR[]O[SX H MeJTNPb H QVUPJIacutebn[]O H []jeh^ JTKhZ[PKEgrave[]YJaumlMeJLhZJaumlN[PJUOeJLhNPfNtildejfRJLhQcNPOoXiacutehNSZOslashJWF[PhY`X[PhhZJ[]QR[]OWVcentNPYZJU^NPb|V

H QVUPJbn[]O H []jehY`ONSZOslashJU^ iexcl_0 Uacute_wcent G aiexclJXiacute[PhlZaringNicent-fRJpoundJ[]QR[]OYa^ehQUPJUO centm NPONtildejfRJLhQcNPO iexclbLbLjhN H JT_aQsOQZaringQVcurrenUN H Qc[]O _aJ H Me[W^X[Ph G J[]ZOslashJUO H N H QR[]Ogtj^gtMeJiexclZaringNPQcObn[]O H hQRcentj H QR[]O[SXy[]jh_WF[PhY`aQcY H [centjQcfs^ N H MJL[PhZJ H QcbLNPfQXhdNSZOslashJWNtilde[Phl`centNPYJU^`[]O

uumlnyacute|thornLyuml13

yenKbrvbarsect =4 acirc $ YZMNiK=JT[PK H QZaringQVcurrenUN H Qc[]OKhQsObLQRKfRJUY^ Q H M YZjbM`NPO`NiKKhZ[]NPbMegtWFJIacutebLNPO hZJUNP^QsfVmH N`PJ7QcO H [ NPbLbn[]jO H`H MeJpoundUiNihQcN H QR[]O [SX H MJOacute^eJUYZbnhQcK H [PhY H MN H NihJpound[]fR[PcentNPfcfmN HH NPbdMeJU^ H [ H MeJUacuteJUP[]fVUWQcO[timeshZJ[]QR[]OYgaqbLNPfsfRJU^ hZJ[]QR[]OWV4^eJLKEgraveJUO^JUO H ^eJUYZbnhQcK H [PhYj^ JOtildeYZMe[W H MN HH MeJiexclU~NihQsN H QR[]O [SX9hZJ[]QR[]OWV4^eJLKEgraveJUO^JUO H ^eJUYZbnhQcK H [PhYF^jehQcOF[ H MeJJUP[]fcj H QR[]OOtilde[SX H MeJ0NPb H QUPJFbn[]O H []jehampQcO^jbnJUY9NP^^Q H QR[]ONPf H JLhlZaringY9QsO H MeJyJUP[]fcj H QR[]OJBjN H QR[]Oeuml[SX H MeJOslashNPb H QVUPJ bn[]O H []jeh^MeJUYZJaeligNP^^Q H QR[]ONPf H JLhlZaringYOtildeMNUPJaringOe[ H centEgraveJLJUOKhJUBQR[]jYZfVm bn[]ZOslashK-j H JU^uml^

G []ZOslashJNtildeJkeNSZOslashKfcJUY[SX-jOYZjeKEgraveJLhYUWQcYJU^TYKN H QcNPfBYJ[]ZOslashJUO H N H QR[]OOePjYZQsO[ H MeJcopyUiNihQuVNPObnJ [SX H MJOslashhZJ[]QR[]OYe9KhZ[UPJ H MeJ QZOslashKEgrave[Ph H NPObnJOslash[SX H MeJ NP^^Q H QR[]ONPf H JLhlZaringYordfXiacute[PhH MeJ(NPbLbLjehdNPbmIacute[SX=YJ[]ZOslashJUO H N H QR[]OOslashhZJUYZjf H Y^MeJNP^^Q H QR[]ONPf H JLhlZ YZIacutejY H O[ H centEgraveJXiacute[PhY[P[ HH JUO QcO [Ph^eJLh H [laquo[PJ HH MeJ_XqNPY H JUY H NPb H QUPJUacutebn[]O H []jeh(JUP[]fcj H QR[]O H [WNih^Y(NZaringQsOQZtimesjFZoslash[SX H MeJaumlbnhdQ H JLhQR[]OO^not QcONPfcfVmSe H MeJbn[UiNihQcNPObnJbZ N H hQk ^eJ H JLhZaringQcONPO H NiKKEgraveJUNihY H [ cent=JNrUPJLhYmhZJUfcJU~NPO HH [B[]fOX[PhMe[]ZOslash[S[PJUOeJL[]jYbn[]fR[PhiexclhZJ[]QR[]OYYZJ[]ZOslashJUO H N H Qc[]OO^gtMQcY H [[]fQcYYZjbLbnJUYZYXqjfcfVm NiKKfcQRJU^ H [XqNPbnJIacute^eJ H JUb H Qc[]O []OhZJUNPfUBQc^JL[aringYJjJUObnJUY^MeJa^eJ H NPQcfcJU^ [UPJLhYUBQcJW []O hZJ[]QR[]OeVcentNPYJU^ NiKKhZ[]NPbMJUY QsYaringKhZ[PKEgrave[]YJU^ QcOG JUb^ eshyWMQcfRJOslash[]jeh0jfRJLhdQcNPOumlXiacutehNSZOslashJWF[PhY`uml5_0 Uacute_ cent G QcYauml^JUYZbnhQRcentEgraveJU^QcO G JUb^^MQcY|XhdNSZOslashJWNtilde[Phl` QcY H MeJUONiKKfcQRJU^ H [ H MJjOYZjeKEgraveJLhYUWQcYJU^aringYJ[]ZaringJUO H N H QR[]O[SXMe[]Zaring[S[PJUOeJL[]jYIacutehZJ[]QR[]OYIacutejYZQcO[ H MJregUiNihQcNPObnJ QsO G JUb^lt`NPO^ H MeJ bn[U~NihQsNPObnJZaringN H hdQk ^eJ H JLhZaringQcONPO H QcO G JUb^gtmacr^

degEplusmnyLMgtsup2Qsup32acutemicromiddotparaJcedilJacutemicrosup1acuteIKJordmcedilIltN paraJcedilJacutewMraquo Jfrac14ltacutefrac34frac12oLJMgtIiquest acuteAgravegtT2MgtIAacutelAcirclaquocedilFAtildeacuteNAumlfrac12R]JT13Aringgtacutesup1AEligMgtIKJMgtPltLAtildeJUbnJUO H fVmSeZaringNPOmNPj H Me[PhdYtimesMNUPJKhZ[PKEgrave[]YJU^NwWNm[SXNP^^QcOF[hZJ[]QR[]OWVcent-NPYJU^H JLhlZ YQcO H MJTJUP[]fcj H Qc[]O JjN H QR[]Ow[P[UPJLhOQcOF[ NPb H QVUPJtimesbn[]O H []jehdY Xiacute[PhiexclYJ[]ZaringJUOWVH N H QR[]O QsYZYZjeJUY^QMeJ KhZ[PcentfcJZ Y H N H JZaringJUO H QsYhY H KhZJUYJUO H JU^NPO^ H MeJUO H MeJY H N H JnV[SXV H MeJnV4Nih H QcY^J H NPQcfRJU^O^ ^f^bCcedil_EgraveKEacuteltEcircgtEumlIgraveFIacuteIumlIcircETHOgraveNtildeFETHIgraveFIacute5IgraveFOacuteETHiexclJLhZJSeOcircWFJa^eJUYZbnhdQRcentEgraveJ H MJ JjN H Qc[]OYaringNP^^ehJUYZYZQcO[ H MeJ`QcYZYZjeJ[SX H MeJYJ[]ZaringJUOWVH N H QR[]O[SX NPOQCZaringN[PJxOtilde QsO H WNtilde[ hZJ[]Qc[]OY^iexclgJ H jYeuml^eJOeJrOumlcopytimesOslash H MeJhJ[]QR[]Obn[]O H NPQcOQcOF[ H MeJ[Pcent~5JUb H Y H [YZJ[]ZOslashJUO H NPO^ OumluUgraveUcircUacuteUuml H MeJeumlcentNPbY`[PhZ[]jO^ hJ[]QR[]OO^MJUQRhFbn[]ZregZOslash[]O centEgrave[]jO^NihlmaringQcY(Oe[ H JU^YacuteOcirc^F9J H jY(bn[]OYZQc^JLhNPOaNPb H QVUPJaumlbn[]O H []jhYacuteadTHORN]szligYagravejaacuteacirca2atildeadTHORN]szligYagravejszligaumlOadTHORNOgraveszligYagravejje]WMeJLhZJuTHORNuZaringNmTcentEgraveJ H MeJ(NihbNtildefcJUO[ H Mtimes[SX H MeJbn[]O H []jhNPO^umlagraveQsYOtildeNPOJUP[]fcj H QR[]OeumlK-NihNSZOslashJ H JLh^shyMeJOslashNPb H QVUPJ bn[]O H []jehIacuteNiKKhZ[]NPbMpoundZ N`PJUYYacuteadTHORN]szligYagravejJUP[]fVUPJ H MehZ[]j[]M H MeJ|Xiacute[]fcfR[WQcO[K-Nih H QcNPf^Q=JLhJUO H QcNPf]JjN H Qc[]Ooa5copyjaringaelig YacuteadTHORNOgraveszligYagravejaelig agrave aacuteegraveccedilyeacuteecircaacuteegraveeuml WQ H MigraveYacuteaagraveregaacute s j|aacuteegraveYacuteshyiacute afjWMJLhZJfrac34YacuteltiacuteaQcY NPO QsOQ H QcNPfbLjhYUPJ ^JOeJU^centm H MeJeumljYJLhNPO^egraveeacute H MeJ QsOOgraveWNih^Oe[PhZaringNPfUPJUb H [PhOtilde[SX|YacuteadTHORN]szligYagravej^MeJUPJUfR[WbLQ H mfrac34ccedil QcY^eJLhQUPJU^wXiacutehZ[]Z NZaringQsOQZaringQVcurrenUQsO[

uumlnyacute|thornLyuml13 2

$amp)(+-)013021+345627893lt=gt9A6CBbnhQ H JLhQR[]O NPO^ QsY bdMe[]YJUO Y[ H MN H H MeJ YZ[]fcj H QR[]OicircYacuteaUcirciumlVszligYagravej bn[]OUPJLhY[PJUY H [ H MeJ[Pcent~JUb H centEgrave[]jO^NihYmSeYacuteaUcirciumlethjeNPY_agraveregntildeoacuteograveicirc^5ObLfcNPYYZQcbLNPfcentEgrave[]jO^NihYmVcent-NPYJU^ZOslashJ H Me[W^Ya)v(NPYJUfcfRJUY(J H NPfd^VeshyfhSh]zg_`NPfcfcNP^QJ H NPfd^VelaquofhShSmacr]je H MeJsup1UPJUfc[BbLQ H m XqjOb H QR[]OHccedil QsY`^eJLhdQVUPJU^XiacutehZ[]ZCNPOJUOeJLhY[Smacircocirc^eJLKEgraveJUO^QcO[T[]O H MeJOtildecentEgrave[]jO^NihlmYacuteOcircaring

ocircOgraveotilde UgraveUacute OslashoumlYdivideloslashugrave aYacuteQj|aacute uacuteucircyacuteuumlgtthorn otilde)yuml THORN a jWMJLhZJ_uuml thorn otilde)yuml QcYNtildeNyXqjOb H Qc[]O ^eJUYZbnhdQRcentQcO[ H MeJiexclcentEgrave[]jO^NihYmtimes[SX H MeJiexcl[Pcent~JUb H ^vNPYZJUfcfRJUYJ H NPf_a)vNPYJUfsfRJUYaumlJ H NPfd^VefhSh]zSjIacutebM[[]YJ H MeJregXqjOb H Qc[]Obuuml thorn otilde)yuml aacuteKa ordmOtilde jyWMeJLhZJtaring s szliggograve8ntilde Otilde 13 QcYiexclN Y H hdQcb H fVm ^eJUbnhZJUNPYZQsO[XqjOb H Qc[]OaY[ H MN H a]juntilde s NPYgntildeoacuteograveicirc^SMeJFbn[]ZOslashKj H N H Qc[]OIacute[SX H MeJUPJUfc[BbLQ H mccedilicircXiacutehZ[]Z H MJFbnhQ H JLhQR[]Oa j9QsYOe[WWFJUfcfO`WOe[WiexclOsup1a)vNPYJUfsfRJUYJ H NPfd^VeltfhSh]zSjiexclNPO^`fRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[OslashJUP[]fcj H QR[]OJBjN H QR[]OOaring aelig Yacuteaelig agrave aacuteFuuml thorn otilde)yuml uuml thorn otilde)yuml eacute13eacute ad]jWMJLhZJ QcY H MeJaumlbLjehYUiN H jehZJOtilde[SXYacuteaagravej^iexcl[WFJUPJLhecent=[ H MaringhZJ[]QR[]OYOcircOumlcopytimesOslashtimesNPO^Ouml UgraveUcircUacuteUuml ZaringNmtimesMNUPJiexcl^QV=JLhZJUO H KhZ[PKEgraveJLh H QRJUYamp[SXH Jk H jehZJSeiMe[]ZOslash[S[PJUOeJUQ H mtimes[PhZaring[ H QR[]O H MN H bLNPOOe[ H cent=JQcObLfsj^eJU^aumlQcO H MeJXiacutejOb H QR[]Ouuml thorn otilde)yuml ^ G [ H MeJoZaringNPQcOOacuteKjehZKEgrave[]YJaring[SX(hJ[]QR[]OWVcentNPYJU^7NiKKh[]NPbMeJUYaeligQcY H [ QcO H hZ[W^jbnJYZjbM Nx[]fR[PcentNPfUacuteQcOXiacute[PhlZaringN H QR[]O QcO H MeJ UPJUfR[WbLQ H m XiacutejOb H QR[]Oicircccedil QcO NP^^Q H QR[]O H [H MeJeumlfR[WbLNPfiexclQsOX[PhZaringN H QR[]OKhZ[UWQc^eJU^ centm cent=[]jO^NihYmVcentNPYJU^ H JLhlZaringY^copyMeJZaringNPQcOBjeJUY H QR[]OeiQsOIacute[Phd^eJLh H [~jY H QVX2m H MeJQcO H hZ[W^jb H QR[]OIacute[SX H MJUYJ(hZJ[]QR[]O H JLhlZ Ye]QcY H [^eJLhdQVUPJ H MeJuUPJUfR[WbLQ H mlaquoXqjOb H QR[]OlaquoXiacutehZ[]ZNPOOslashJUOeJLhl[SmS^Ograve9[IacuteYJ H Nordf[PJUOeJLhNPfFXhNSZaringJWNtilde[PhY`NPO^ H [Oslashbn[]ZOslashKNihZJ H MeJUacute^QEgraveJLhZJUO H NiKKhZ[]NPbMeJUYFKh[PK=[]YZJU^ QcO H MeJUacutefcQ H JLhN H jhZJSeWFJOe[W QcO H hZ[W^jbnJ Nw[PJUOeJLhNPfNtildebnhQ H JLhQR[]ObXh[]ZigraveWMQsbM H MeJUPJUfR[WbLQ H mpoundZaringN[]OQ H j^eJZaringNmcent=JOtilde^eJLhdQVUPJU^Oaring

ocircOcircadOumlutimes OslashgtszliglOuml UgraveUcircUacuteUuml szligYYacuteQjbaacute uumlgtthorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszliglOuml UgraveUcircUacuteUuml j atilde auml $ uumlgtthorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashFj atilde aumlamp uacuteucirc uumlgtthorn otilde)yuml a2atildeltszligaumlj THORN a2jWMJLhZJyuuml thorn UgraveUcircUacuteUuml yuml QcYONSZaringJU^ H MeJwn^JUYZbnhQRK H [PhpOslash[SX H MeJaumlcentNPbl`[PhZ[]jO^ hZJ[]QR[]Oegtuuml thorn timesOslash yumlH MeJsup1n^eJUYZbnhQRK H [Phlp[SX H MeJaring[Pcent~JUb H hZJ[]Qc[]ONPO^buuml thorn otilde)yuml H MeJsup1n^eJUYZbnhQRK H [Phlp [SX H MeJbn[]O H []jeh^MJOslashhZJ[]QR[]O^eJUYZbnhdQRK H [PhYordfZaringNm`centEgraveJlaquo[]fR[PcentNPfsfVm`N HH NPbdMeJU^ H [ H MJUQRhOtildehZJnVYKEgraveJUb H QVUPJOslashhJ[]QR[]OYeOumlcopytimesOslasha[PhOuml UgraveUcircUacuteUuml e9NPO^Y[^eJLKEgraveJUO^euml[]O H MeJZ aqQVXFY[e H MeJmNihZJbLNPfcfcJU^pihJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhYYpOgravej^ H MNiKK=JUOYshyWMJUOtimesY H N H QcY H QcbLNPfXiacuteJUN~VH jehJUYg[SXNhJ[]QR[]OTfcQ`PJSeXiacute[Ph9JkeNSZOslashKfRJSe H MeJZOslashJUNPOIacute[Ph H MJ|UiNihQcNPObnJSe~NihZJNtildeYJUfcJUb H JU^NPY(hJ[]QR[]O^eJUYZbnhdQRK H [PhY^MeJ`K-jehZKEgrave[]YJ [SXIacuteNPfcfhZJ[]QR[]OeVcentNPYJU^ NPb H QVUPJOacutebn[]O H []jehYwZOslashJ H Me[W^YQcY H MeJUOH [poundZaringN`PJ H MeJaNPb H QVUPJabn[]O H []jeh JUP[]fVUPJ H [WNih^Y NeumlKNih H Q H Qc[]O[SX H MeJ`QZaringN[PJSeadOumluUgraveUcircUacuteUumlszliglOuml timesOslash szligYYacuteQje H MN H ZaringQcOQZ QVcurrenLJUY H MeJTbnhQ H JLhdQR[]Opounda2j^

uumlnyacute|thornLyuml13 (

yenKbrvbarsect =4 acirc $ macr ^ ^)+ltIgraveFEgrave-+13IgraveigraveEacute10Igrave22IcircETH313Oacute4 EgraveOIgrave54EacuteshyOacute76EcircgtNtildeltIcircIgrave8 Iacute_IgraveETH39ltEacute8QIcircshyIcirclt2Oacute4Ntilde=KETH3gt+ltIgrave=EacuteshyOacuteshyETHEacute1EgraveIcirc MQcfRJiexclNPONPfVmWYZQcO[aumlhJ[]QR[]OWVcentNPYJU^ NPb H QVUPJUacutebn[]O H []jhYNiKKhZ[]NPbdMeJUYeWNtildeJ5ZaringNm bn[]OWVYZQs^eJLh H MehZJLJyZaringNPQsO QZOslashKEgrave[Ph H NPO H K=[]QsO H Yaring MN H NihJ H MeJT^QV=JLhZJUO H ^eJUYZbnhdQRK H [PhY(jYZJU^BA iexcl[WQcY^eJLhdQVUPJU^ H MeJaumlJUP[]fcj H QR[]O JBjN H QR[]OXiacutehZ[]Z H MeJaumlbnhdQ H JLhQR[]OCA iexcl[WQcYQZaringKfRJZOslashJUO H JU^ H MeJaumlNPb H QVUPJtimesbn[]O H []jehANtildeQR[]OeJLJLhcopyWF[PhY`BY(MNUPJaumlcentEgraveJLJUO KhZ[PKEgrave[]YJU^ centma)vF[]MeJUOJ H NPfd^VefhShSgt[]OXqNih^OefhShj^5ONPOJUNihdfVmpoundWF[PhY`gte|vF[]MJUOJ H NPfd^ua)vF[]MeJUO7J H NPfd^VeufhShS]jIacuteKhZJUYZJUO H NYZjhYXiacuteNPbnJ$hJUbn[]OY H hjb H Qc[]OgZOslashJ H Me[W^TjYQcO[hZJ[]QR[]OWVcent-NPYJU^aumlNPb H QVUPJFbn[]O H []jehdY^MJmbn[]ZOslashK-j H J H MeJUPJUfR[WbLQ H mpoundUPJUb H [Phaelig[SXNPO7NPb H QVUPJ bn[]O H []jhXiacutehZ[]Z H MeJZaringQsOQZaringQVcurrenUN~VH QR[]O[SXampNOslashbnhQ H JLhdQR[]OQcObLfcj^QcO[aumlhZJ[]Qc[]OWVcentNPYJU^ H JLhZaringY^ Oe[ H MeJLh(KQR[]OJLJLhuWNtilde[PhY`MNPYaumlcent=JLJUOK=JLhlX[PhlZaringJU^QcO a[]OXqNih^OeOcircfhShj^iexclJ NPYZYJUYZYZJUY H MN HTH MeJUPJUfR[WbLQ H mXqjOb H QR[]O YZMe[]jfc^aringcent=JKhZ[PKEgrave[Ph H QR[]ONPf H [ H MeJUacute^QEgraveJLhZJUObnJ[SXgY H N H QcY H QcbLNPfXJUN H jehJUYaringccedilaacute uuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml eOgraveWMJLhZJ_uuml thorn timesOslash yuml QsY0NaumlY H N H QsY H QcbLNPfKZOslash[B^JUfe[SX H MeJ[Pcent~JUb H hJ[]QR[]ONPO^tuuml thorn UgraveUcircUacuteUuml yuml N Y H N H QcY H QcbLNPfshyZOslash[B^JUfEgrave[SX H MJaumlcentNPbY`[PhZ[]jO^ hZJ[]QR[]OO^

G []ZOslashJaumlNiKKhZ[]NPbdMeJUY(Kh[PK=[]YZJ H [ bn[]ZOslashKj H J H MeJOtildeJUP[]fsj H QR[]OJBjN H QR[]O [SX H MeJNPb H QVUPJtimesbn[]O H []jhUacutejYZQcO[ H MeJ hZJLJUOWVAiexclQRJZaringNPOO H MeJL[PhZJZ NPO^wNtildejfRJLhVAN[PhNPO[PJJBjN H QR[]OY^OEgraveMBjeumlNPO^frac340jQcfcfcJoa)EgraveMBjNPO^frac340jQcfcfcJSeltfhShS]jKhJUYJUO H NY H N H QcY H QcbLNPfXiacutehNSZOslashJWF[PhY`poundXiacute[PhOslashQZaringN[PJYJ[]ZOslashJUO H N H QR[]OjYZQsO[aNPONPfV[P[PhQ H MZbLNPfsfRJU^n5hJ[]QR[]Obn[]ZOslashKEgraveJ H Q H Qc[]OFp^MeJm^eJLhQVUPJ H MeJeumlNPb H QVUPJbn[]O H []jehJUP[]fcj H QR[]O JBjN H QR[]O centmZaringQsOQZaringQVcurrenUQsO[aringNo[PJUOeJLhNPfcQVcurrenLJU^XNmPJUYDi_wiexcl bnhQ H JLhdQR[]O`QsOYKQRhJU^centm H MeJaring_`jFZaeligVXiacute[Ph^OacuteNPO^ G MNPMJUOeJLhY[Smicircaw_ajFZX[Ph^7NPO^ G MNPMOefhSiSh]j^OcircMeJmKhZ[PKEgrave[]YJ H MeJXiacute[]fcfR[WQcO[aelig^eJUYZbnhQcK H [PhYcopyXiacute[Ph H MeJaumlYJ[]ZaringJUO H N H QR[]O`[SXampY H QcfcfQZ N[PJUYaringEFG FH uuml thorn UgraveUcircUacuteUuml yuml aacute JILK NMregaOtildeKa2atildeshyszligaumlFjPORQ UgraveUcircUacuteUuml juuml thorn timesOslash yuml aacute JILK NMregaOtildeKa2atildeshyszligaumlFjPORQtimesOslashjuuml thorn otilde)yuml aacuteTS admacr]jWMJLhZJUMrega)j9QcY9NiexclKhZ[Pcent-NicentQcfcQ H m^JUOYZQ H m5XqjOb H Qc[]OOeQshytimesNihZJ H MJNtildeKNihdNSZOslashJ H JLhY[SX H MeJ^QsY H hQRcentj H QR[]OX[Ph H MeJaelighZJ[]Qc[]OBVNPO^CSQcYUacuteN KEgrave[]YZQ H QUPJIacutebn[]OY H NPO H ^ not [PhaumlQcfsfcjY H hN~VH QR[]OYe H MeJNPj H Me[PhdYybn[]OYZQc^JLh NPjYZYZQsNPOOslash^QcY H hQccentj H QR[]OYbMNihdNPb H JLhQVcurrenLJU^ centm H WF[KNihdNSZOslashJ H JLhYe H MeJZaringJUNPOIacuteNPO^ H MeJ|UiNihQcNPObnJS^ q ObnJ H MeJWQtimeskWJU^Oe H MeJ0JUP[]fcj H QR[]OJBjN H QR[]O[SXNPONPb H QVUPJ bn[]O H []jhaeligQsYIacutebn[]ZOslashK-j H JU^NPO^^QchZJUb H fVm^eJLhQUPJU^poundXiacutehZ[]ZH MeJbnhdQ H JLhQR[]OO^SMJbLfcNPYZYZQcbLNPfe^JLhQVUiN H QVUPJ([SX H MJ(cent=[]jO^NihYmVcentNPYJU^ H JLhlZ fRJUNP^YH [ H MeJtNtildejbLfcQc^QcNPOpound[PJL[]ZOslashJ H hdQcbMeJUN HYX [Wg^OcircMeJ ^eJLhdQVU~N H QUPJ [SXiexclhZJ[]QR[]OWVcent-NPYJU^H JLhlZ Y QcY H MJUOKEgraveJLhYXiacute[PhlZOslashJU^jYQcO[ H MeJ hZJLJUOWVAQcJZaringNPOO H MeJL[PhJZ NPO^ H MeJNtildejfRJLhVAN[PhNPO[PJaJBjN H QR[]OY^5O^eJLJU^e H MeJeumlbn[]ZOslashKj H N H Qc[]O [SX H MeJaJUP[]fcj H QR[]OJBjN H QR[]OQsYK=JLhlX[PhlZaringJU^ QcO H MehZJLJyZ NPQcO Y H JLKYaringf^Q9hNPOYX[PhZaringN H QR[]Oeuml[SX^e[]ZaringNPQcOQcO H J[PhNPfcYTQcO H [ centEgrave[]jO^NihYmaQcO H J[PhNPfcYTjYZQcO[

H MeJ hZJLJUOeVAQRJZaringNPOO H MeJL[PhZJZ^

uumlnyacute|thornLyuml13

$amp)(+-)013021+345627893lt=gt9A6CB ^vF[]ZOslashKj H N H Qc[]O [SX H MJy0jfcJLhVA9N[PhNPOF[PJOtildeJjN H Qc[]OY^ltO H hZ[W^jb H QR[]O[SXiexclNeuml^mWONSZaringQcbLNPfFYZbdMeJZOslashJ QcO H MeJ0jfRJLhZVA9N[PhNPO[PJ JBjN~V

H QR[]OYQcO [Ph^eJLh H [aeligbn[]ZaringKj H J H MeJ5UPJUfR[BbLQ H mregUPJUb H [Ph[SX H MeJOtildeNPb H QVUPJOtildebn[]O H []jh^MJ UPJUfR[WbLQ H mXiacutejOb H QR[]OoccedilQsY H MJUO bn[]ZaringKj H JU^NPO^Q H fcJUNP^Y H [ H MJ5Xiacute[]fcfR[WQcO[JUP[]fcj H QR[]OJjN H QR[]OOaring aelig Yacuteaelig agrave aacuteacircaduuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml S jeacute ad]jWMJLhZJ QsY H MeJ bLjehlU~N H jehJaring[SXuYacuteaagravej^5O[Ph^eJLh H [aQZOslashK-fRJZOslashJUO HOtildeH MQcYordf|iexcl eNN[PhNPO[]QcNPOXiacute[PhlZtimesjfcN H QR[]O QsY(jYJU^O^JUbnJUO H fmSeampNihN[]Qc[]YNPO^frac34JLhQcbdMeJaNihdN[]QR[]YOtildeNPO^iexclJLhdQcbMeJSefhShSh]jegMNUPJKh[PK=[]YZJU^ NPOJk H JUOYZQc[]O[SX H MeJordfWF[PhY` [SXOcircEgraveMBjNPO^o0jQcfcfcJcentm QZOslashKhZ[UWQcO[ H MeJ^eJUYbnhQRK H [Phaelig[SX H MJbn[]O H []jeh QcO7[Ph^eJLh H [QcObn[PhK=[PhdN H J H MJQCZaringN[PJ[PhNP^QRJUO HNPYiexclQcO[PJL[W^eJUYZQcbIacuteNPb H QVUPJtimesbn[]O H []jehY^gtMeJTJUP[]fcj H QR[]OaJjN H Qc[]OaQcYiexclQZOslashKfRJZaringJUO H JU^jYQcO[ H MeJ(fRJUPJUfBYJ H ZOslashJ H Me[W^aeligQcO H hZ[B^jbnJU^aumlcentm q YZMJLhNPO^ G J H MQcNPOoa q YZMeJLh$NPO^G J H MQcNPOOeltfhSiSi_aNPfcfsNP^Q9J H NPfd^VefhShSmacr G J H MQcNPOOeltfhShS]j^ UPJLhYm QcO H JLhJUY H QcO[KNih H [SX H MQsYyWF[PhY`Oacutebn[]ObnJLhdOY H MeJ QsO H hZ[W^jb H Qc[]O[SXY[]ZOslashJ^eJUYZbnhdQRK H [PhYlaquouuml thorn timesOslash yumlNPO^uuml thorn UgraveUcircUacuteUuml yuml X[PhNiKKfcQsbLN H QR[]OYfcQV`PJ H Jk H jehZJFYJ[]ZOslashJUO H N H QR[]OtimesNPO^gZOslash[UBQcOF[[Pcent~JUb H Y^eJ H JUb H Qc[]OO^

G []ZOslashJT[ H MeJLhUacuteNiKKh[]NPbMeJUYlaquoa)vMN`BhNicentEgrave[Ph H mJ H NPfd^VeltfhShSvMeJUYONPj^ J H NPfd^VefhShSh]j9KhZ[PKEgrave[]YJ H [OtildebMe[B[]YJ(N H JUNPbdMOslashY H JLK H MeJ^QcYKfsNPbnJZOslashJUO H [SX H MeJNPb H QVUPJ(bn[]OWVH []jeh H MN H ZaringN`PJUY H MeJybnhQ H JLhQc[]OOtilde^eJUbnhZJUNPYJS^SvMN`BhNicentEgrave[Ph H miexclJ H NPfd^a)vMN`hNicentEgrave[Ph H mJ H NPfd^VecopyfhShS]jtimesQcO H h[B^jbnJ N`hZJ[]QR[]OWVcentNPYZJU^7NiKKhZ[]NPbMxXiacute[Ph H MeJ YZJ[]ZOslashJUO H N H Qc[]O[SXQZOslashJU^QcbLNPfQZ N[PJUY^ iexclYQcOeKj H [SX H MJUQRhNPfV[P[PhQ H MZe H MeJm bn[]OYQc^eJLh(centEgrave[ H M H MeJNPb H jNPf9QZaringN[PJgOtilde NPO^ H MeJOtildehZJ[]QR[]OWV4bLfsNPYZYZQVJU^ QCZaringN[PJgOtildeoslash^FMeJOtildebLfcNPYZYZQVJU^ QZaringN[PJOtilde oslash QcYiexclbn[]ZOslashKj H JU^`centmwZaringNkeQZaringQVcurrenUQcOF[ H MeJTKEgrave[]Y H JLhQc[Ph^QsY H hQRcentj H QR[]O [SX H MeJThJ[]QR[]OfcNicentEgraveJUfcY[]QUPJUO H MeJQcO H JUOYZQ H maeligQZaringN[PJS^MeJUQRh0hZJ[]QR[]O H JLhlZ JUOXiacute[PhbnJUY H MJcentEgrave[]jO^WVNihYm H [JUObLfc[]YJaringNYZQcOF[]fRJaelighZJ[]QR[]OQcOumlOtildeoslash^MeJaring^JUYZbnhQRK H [PhdYOtildeNihZJ H MeJXiacute[]fcfR[WQcO[WQ H M H MeJauml^QEgraveJLhZJUObnJ H MN HH MeJmWFNPO HH [regZaringNkeQZaringQcurrenLJ H MJTbnhQ H JLhQc[]OocircaringEFG FH uuml thorn UgraveUacuteUuml yuml aacute[Z] Otilde oslash a2atildeltszligaumljuuml thorn times Oslash yuml aacute suuml thorn otilde)yuml aacute[Z cent Otilde_^Ogravea2atildeshyszligaumlFj a)zSjWMJLhZJ]Z NPO^`Z cent NihZJ H WNtilde[7KEgrave[]YZQ H QVUPJbn[]OY H NPO H YNPO^ Otilde_^aQcY H MeJfrac34[PhNP^QRJUO HQZ N[PJS^ KhQc[PhYMNiKEgraveJ H JLhZDQcY(NPfcY[OslashNP^^eJU^ H [ H MJaumlbnhQ H JLhQR[]OeWiexclMQcbMbLNPO centEgraveJQcO H JLhZJUY H QsO[gXiacute[PhZOslashJU^QcbLNPf-QCZaringN[]QcO[gWiexclMeJLhZJ H MJiexclON H jehJ[SX H MeJYZMNiKEgraveJiexcl^[JUYFOe[ HbdMNPO[PJNaumlfc[ H Xh[]Z2QcO^QUBQc^jNPf H [TQsO^QVUWQc^jNPf)^MeJUOeiNPYNtildeQcOwa)EgraveMBjaringNPO^ordm0jQcfcfRJSefhShS]je H MeJWMe[]fRJaumlKhZ[PcentfRJZ QsY(hZJU^jbnJU^ H [ bn[]ZaringKj H QcO[ cent=[]jO^NihYm QcO H J[PhdNPfcYH MNPOF`BY H [ H MeJ hZJLJUOWVAQcJZaringNPOO H MeJL[PhZJZte(hN H MeJLh H MNPO centEgrave[ H M centEgrave[]jO^NihYmNPO^ ^[]ZaringNPQcO QcO H J[PhNPfcY^yacuteMeJQZOslashKfRJZaringJUO H N H QR[]O [SX H MeJNPb H QVUPJ7bn[]O H []jhaQcOa)vMN`hNicentEgrave[Ph H mJ H NPfd^Ve fhShS]jaringQcYaring^e[]OeJacentmjYZQcOF[N not []jehQcJLharingKNihNSZOslashJ H JLhdQVcurrenUN~VH QR[]O^yacuteMeJJkWKhZJUYZYZQc[]O [SX H MeJumlUPJUfR[WbLQ H mAumlUPJUb H [Ph [SX H MeJOacuteNPb H QVUPJ7bn[]O H []jeh QcY

uumlnyacute|thornLyuml13 a

yenKbrvbarsect =4 acirc $ zOe[ H bn[]ZOslashKj H JU^OeNtildecentj HOslashH MeJ bnhQ H JLhQc[]OQcYaringQcO H hZ[W^jbnJU^NPO^ OBjFZOslashJLhQcbLNPfsfVmOacuteJUiNPfuVjN H JU^ QsO [Ph^eJLh H [ ZaringNkeQZaringQVcurrenLJQ H ^ JbLNPO Oe[ H J H MN HH MJeumlNPj H Me[PhYMNUPJKh[PK=[]YZJU^ NlaquoUPJLhYm QcO H JLhZJUY H QcO[aeligJk H JUOYZQR[]O [SX H MQcYWNtilde[Phl` jYQcO[ H MJ5[]NSZaringJ H MeJnV[PhYma)vMN`BhNicentEgrave[Ph H m NPO^jObLNPOOeOfhShSh]j^J[]Qc[]O NPO^ cent=[]jO^NihYmOslashbnhQ H JLhdQR[]OYNihZJYJLKNihdN H JU^OePcentj H JUNPbMaringbnhQ H JLhQR[]Otimesbn[]O H NPQcOY$NPOtimesQsO H JLhNPb H Qc[]OlaquoWQ H M H MeJ[ H MeJLh^ Y H MJ_[]NSZOslashJKhZ[S[PhJUYZYJUYeBcentEgrave[ H MZOslash[W^jfcJUYyQZOslashKh[UPJ H MeJUQRh0KEgrave[]YZQ H QR[]OY H MhZ[]j[]MZtimesj H jNPfQcOFX[PhlZ N H QR[]O YZMNihQsO[^

Oe[ H MeJLhIacuteYZQZaringQcfsNihUacuteNiKKhZ[]NPbMMNPYaumlcentEgraveJLJUOQcO H hZ[W^jbnJU^eumlcentmbvMeJUYZONPj^eumlJ H NPfd^a)vMJUYZONPj^ J H NPfd^VefhShSh]j^FMeJUQchNtilde^eJUYZbnhdQRK H [PhYFNihZJhZJnVJU~NPfsjN H JU^ JUNPbM H QZOslashJUacuteNKEgrave[]QcO H [SX H MJNPb H QVUPJbn[]O H []jehFJUP[]fVUPJUY0YZQsObnJ H MeJUQRh0^JUYZbnhQRK H [PhdY$NihZJY H N H QcY H QcbLNPfXiacuteJUN H jehZJUYOtilde[SX H MeJ QZaringN[PJordm[]fR[PcentNPfsfVm`N HH NPbdMeJU^ H [ H MeJOslashJUP[]fVUWQcO[ hZJ[]Qc[]OY^shyMJmbdMe[[]YZJ H MeJ`hNPO^e[]Z ^QcYKfsNPbnJZOslashJUO H [SXaumlNOacutebn[]OYZQs^eJLhZJU^ KEgrave[]QcO H [SX H MeJ NPb H QVUPJbn[]O H []jehOslashY[ H MN HIacuteH MJ bnhQ H JLhQR[]O7^eJUbnhZJUNPYJUY^$ _X H JLhaeligJUNPbdM ^QcYKfsNPbnJZOslashJUO H [SXNKEgrave[]QcO H [SX H MeJIacuteNPb H QVUPJIacutebn[]O H []jehe H MJT^eJUYZbnhQcK H [PhY(NihZJOtildehZJnV4bn[]ZaringKj H JU^O^

fcN H JLh NiKKhZ[]NPbdM MNPYaringcentEgraveJLJUOQcO H hZ[W^jbnJU^ centm G NSZaringY[]O J H NPfd^_a G NSZ Y[]OJ H NPfd^Ve sSsSs jyacuteXiacute[PhOtildebLfcNPYZYZQbLN H QR[]OaNPO^acentmvMNPO NPO^frac34$JUYJa)vMNPOeumlNPO^frac34$JUYJSesSs fjX[PhaYZJ[]ZOslashJUO H N H Qc[]O [SXaeligY H QcfcfOtildeQZ N[PJUY^yacuteMeJm KhZ[PKEgrave[]YJ H [JZIacutecentEgraveJU^ H MeJbnhQ H JLhQR[]O ^QRhZJUb H fVm`QcO H MJaeligfcJUPJUf$YJ H X[PhlZtimesjfcN H Qc[]OO^Ov(MNPOeumlNPO^$JUYJOslashKhZ[PKEgrave[]YJH MeJordfXiacute[]fcfR[WQcO[Oslash^eJUYbnhQRK H [PhYaringEFG FH uuml thorn UgraveUcircUacuteUuml yuml aacutecb7d Otilde e f centUhguuml thorn timesOslash yuml aacutecb cent Otilde e cent centuuml thorn otilde)yuml aacuteiS adi]jWQ H M e H MeJ NUPJLhN[PJ[SXgOtildeQcOicircOuml timesOslash e e cent H MJ`NUPJLhdN[PJ[SXgOtilde7QsO OumluUgraveUcircUacuteUuml^MeJUYJH WNtilde[ UiNPfcjeJUY NihZJhJnVJUY H QZaringN H JU^ ^jehQcO[ H MeJKhZ[PK-N[]N H QR[]O [SX H MeJbLjhYUPJNPYH MeJaelighZJ[]Qc[]OYJUP[]fVUPJS^shyMeJtimesKNihNSZaringJ H JLhYjb e1b cent egeumlNPO^kSNihJaringY[]ZOslashJaeligKEgrave[]YZQ H QVUPJbn[]OY H NPO H Y^iexclJLhZJ H MJ fRJUPJUfFYJ H ZOslashJ H Me[W^QsYIacute^QchZJUb H fVmjYJU^OacutecentmhJLKhZJUYJUO H QcO[H MeJtimesbLjehYUPJlaquoYacuteaagravejNPY H MeJycurrenLJLhZ[fRJUPJUfampYJ H [SXyNQRKYZbdMQ H currenTbn[]O H QcOBje[]jY_XiacutejOb H QR[]Ol a2atildeshyszligaumlKszligYagravej^]MeJfRJUPJUfWYJ H XiacutejOb H QR[]O l QcYQsO H hZ[W^jbnJU^timesQcO H MeJbnhQ H JLhQc[]OUWQcN H MeJiexclJUNUWQcYZQc^JyacuteXiacutejOb H QR[]Onmra l j^MeJbnhQ H JLhQR[]O QcY H MeJUOoZaringQcOQZaringQVcurrenLJU^WQ H M hZJUYKEgraveJUb HH [ l jYZQcO[OslashNaelighZJ[]jfcNihQVcurrenLJU^UPJLhYQR[]O[SX H MJyZaringQcOQCZaringQVcurrenUN H QR[]O KhZ[PcentfcJZ JIacuteOe[ H JMeJLhJ H MN HFH MeJJUP[]fcj H QR[]OaringJBjN H QR[]O QcY0^QRhZJUb H fVmtimesJkBKhZJUYZYJU^regWQ H M H MJiexclfRJUPJUf-YJ HXqjOb H QR[]O NPO^ Oe[ H WQ H M H MJTbLjehYUPJgYacute|^

G []ZOslashJ[ H MeJLhWNtilde[Phl`BYeBjYZQcOF[auml^QcY H hQccentj H QR[]O H MeJL[PhYmSeBMNUPJcentEgraveJLJUOaringKh[PK=[]YZJU^OslashcentmJLcenthZJUjFUPJaJ H NPf)^_aJLcenthZJUjUPJ J H NPfd^Ve sSs fjXiacute[PhZaringJU^QcbLNPfQCZaringN[]QcO[NPO^ centm 5ZaringNP^QRJUjJ H NPfd^shyaq _Z NP^QRJUj J H NPf)^VeshyfhShSh]jcopyXiacute[PhcentjQsfc^QcO[times^eJ H JUb H QR[]OO^not QcONPfcfVmSe~hZJ[]QR[]OWVcentNPYZJU^aringNPb H QVUPJbn[]O H []jehYNtildeNihZJNPfcY[OtildeKEgrave[WFJLhYXqjf H [[]fsYX[PhNtildebLfcNPY5VYZQbLN H QR[]Opounda13yJcurrencurrenUQJ H NPfd^VeshyfhShSh]j[Ph_ZOslash[ H Qc[]O^eJ H JUb H QR[]Oxaw_aNPOYZ[]jehQgNPO^wcOtilde[]OWVhNP^efhShSh]j^MeJZ N~5[PhOtildebn[]O H hQRcentj H Qc[]Oa[SXy[]jh5WF[PhY`aQsY H [KhZ[PKEgrave[]YJaeligNo[PJUOeJLhNPfQXiacutehNSZOslashJnVWF[PhY`X[PhaumlhJ[]QR[]OWVcentNPYJU^OacuteNPb H QVUPJ bn[]O H []jehY H N`BQcOF[QcO H [NPbLbn[]jO HIacuteH MeJaringbLNPYJ [SX

hZJ[]Qc[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhY^OgraveMeJ UPJUfR[WbLQ H mordmUPJUb H [PhF[SX H MJiexclNPb H QVUPJUacutebn[]O H []jh

uumlnyacute|thornLyuml13 o

i $amp)(+-)013021+345627893lt=gt9A6CBQcYUacutebn[]ZOslashK-j H JU^centm`QcO H hZ[W^jbLQcO[N ^mWONSZaringQcbLNPfampYZbdMeJZOslashJaring^QchZJUb H fVm`QsO H MJaringbnhQ H JnVhQc[]O H [frac34ZaringQcOQZaringQVcurrenLJaeligNPYTQcO aJLcenthJUjUPJ J H NPfd^Ve sSs f 5ZaringNP^QcJUjJ H NPfd^VefhShSh]j^iexcl[WFJUPJLheWFJ KhZ[PKEgrave[]YJ MJLhZJ N OJW Xiacute[PhlZtimesjfcN H QR[]O7[SX H MJ^JLhQVUiN H QR[]OjYZQcO[YZMNiK=JIacute[PK H QZaringQcurrenUN H QR[]O H [B[]fcY^ Q H M YjbM NZaringJ H Me[B^egtWFJtimesNihJaeligNicent-fRJ H [hZJUNP^QsfVmH N`PJQcO H [NPbLbn[]jO HaringH MeJ bLNPYJ [SXhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhY H MN H U~NihYm^jhQcO[ H MeJ KhZ[PKN[]N H QR[]O[SX H MeJ NPb H QUPJ bn[]O H []jeh^MeJUYJ ^eJUYZbnhQRK H [PhYTMNUPJH [centEgraveJtimesbn[]OYZQc^eJLhZJU^ YZQcObnJ H MJmaNihZJlaquoWQc^eJUfmjYJU^X[PhOtildejOYZjeKEgraveJLhYUWQcYJU^YJ[]ZaringJUOWVH N H QR[]O^ not [Ph(YZjbdM hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYbnhQRK H [PhYeOgraveWFJiexclYZMe[W H MN H NP^^Q H QR[]ONPfH JLhlZ Y0NiKKEgraveJUNihNtildeQsO H MeJJUP[]fcj H QR[]OaringJBjN H QR[]O [SX H MeJiexclbLjehlUPJ H MN H MNUPJUacuteOe[ H centEgraveJLJUOKhJUBQR[]jYZfVm bn[]ZOslashK-j H JU^O^

pE paraOacuteOgraveJJTIshyAgravesup1cedilqoacuteIshyacuteLcedilsup3UrltLcedilgtmicrobacuteNsMgtLtrraquoML iquest acuteAgravegtT2MKIOAacutelAcirclaquocedilFAtildeacuteNfrac12oRSJT13AringKacutepoundAEligMKIKJMgtPltLAtildeq jhyZaringNPQcOb[P[]NPfFfsQRJUYTQcO H MeJ JUfsNicent=[PhdN H QR[]O[SXNfrac34[PJUOeJLhNPfXhdNSZOslashJWNtilde[Phl`umlX[Ph H MeJYJ[]ZaringJUO H N H QR[]O7[SXNPO7QZaringN[PJQcO H WF[euml^Q=JLhJUO H hZJ[]QR[]OYtimesjYZQcOF[hZJ[]QR[]OWVcent-NPYJU^NPb H QVUPJIacutebn[]O H []jehdY^ JOtildeKhZ[PKEgrave[]YJ H [ZaringQcOQZ QVcurrenLJ H MeJiexcl[PJUOeJLhdNPfgbnhQ H JLhQc[]O a2jWiexclMeJLhZJUacuteJUNPbM hJ[]QR[]OQcYamp^eJUYbnhQRcentEgraveJU^TjYQcO[UacuteN_XqjOb H Qc[]OtimesbLNPfsfRJU^ n^eJUYZbnhQRK H [Ph[SX H MeJhZJ[]QR[]Op^i YampKhZJUWQuV[]jYfVmOtilde^eJ H NPQcfRJU^OeNiexcl^eJUYbnhQRK H [PhQcY9N XiacutejOb H QR[]O H MN H ZOslashJUNPYZjhZJUY H MJNtildeMe[]ZOslash[S[PJUOJUQ H m[SXyN hZJ[]QR[]OO^Egrave_[]Y H [SXyhJUfRJU~NPO H Y H N H QcY H QcbLNPf^eJUYZbnhQcK H [PhY^JLK=JUO^ H MeJZaringYZJUfVUPJUY[]O H MeJOslashhJ[]QR[]OO^ G []ZOslashJOslashJkeNSZOslashKfRJUYOtildeNihJordm[]QVUPJUOQcO G JUb^shy^ macr^ not [PhTJkWNSZOslashK-fRJSe H MeJhZJ[]Qc[]Oa^eJUYZbnhdQRK H [Phordfuuml thorn timesOslash yuml bLNPO centEgraveJTbM[]YJUOeumlNPY H MJyUiNihQcNPObnJvu centtimesOslash [SX H MeJThJ[]QR[]OOumlcopytimesOslashFeWMQcbdM[]QVUPJUYaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashj|aacute[u centtimesOslash aacutexw$ aOtilde SOtimesOslashjUcirccent atilde aumlw$ atilde aumlWMJLhZJSOtimesOslash QcY H MJyZOslashJUNPO [SX H MeJaumlhJ[]QR[]OwOumlcopytimesOslash^ G jbMaNaring^eJUYZbnhQcK H [PhQcY(ONSZaringJU^aNn5hZJ[]Qc[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhlpOslashYZQcObnJaumlQ H ^eJLKEgraveJUO^YF[]O H MeJaumlhJ[]QR[]OwOuml timesOslash ^q ObnJ H MeJTbnhdQ H JLhQR[]O QcYQcO H h[B^jbnJU^OeWNtildeJTKhZ[PKEgrave[]YJ H [ bn[]ZaringKj H J H MeJTJUP[]fcjWVH QR[]OUacuteJBjN H QR[]OT[SX H MJ0bn[]O H []jh H MN H WQsfcfZaringN`PJ0Q H JUP[]fVUPJ H [WNih^YNyacuteZaringQcOQCZIacutejFZ[SX H MeJTbnhdQ H JLhQR[]OjYZQcO[OslashNaringOeJWH0jfcJLhQcNPOZOslashJ H Me[W^O^ H XqjO^NSZOslashJUO H NPfcfVm ^QEgraveJLhYXiacutehZ[]Z2[ H MJLhFNiKKhZ[]NPbMeJUYFYZQcObnJyacuteWNtildeJ_`PJLJLK H MJ Xiacute[PhlZIacutejfcN H QR[]Oaring[SXhJ[]QR[]OY0QsOY H JUNP^[SXyhJU^jbLQcO[ H MeJWiexclMe[]fRJTKhZ[PcentfRJZ H [ centEgrave[]jO^NihYm QcO H J[PhNPfcY^gtO^JLJU^OeWFJlaquohY HQcO H hZ[W^jbnJFNiexcl^mWONSZaringQsbLNPfYZbdMeJZOslashJ(QcO H MeJ(bnhQ H JLhQc[]OIacuteNPO^ H MeJUOWFJbn[]ZaringKj H J H MeJNtildejfRJLhQcNPO`^eJLhQVUiN H QVUPJaelig[SX H MJOslashJUP[]fVUBQsO[ bnhQ H JLhQR[]O`centm`jYZQsO[ YMNiKEgraveJIacute[PK H QCZaringQVcurrenUN~VH QR[]O KhQsObLQRKfRJUY^]MQcYZOslashJ H Me[W^ KhZ[UWQc^eJUY H MeJUacuteNP^U~NPO H N[PJ H MN HH MeJ5U~NihdQcN H QR[]O[SXehZJ[]Qc[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYbnhQRK H [PhYltWQ H M H MeJFJUP[]fcj H QR[]OIacute[SX H MeJNPb H QVUPJ(bn[]O H []jhbLNPO centEgraveJOtildehZJUNP^QcfVm H N`PJUO`QcO H [ NPbLbn[]jO H ^MeJTbn[]ZOslashKj H N H QR[]Oa[SX H MJTJUP[]fcj H Qc[]OaJBjN H QR[]O`[SX H MeJIacuteNPb H QUPJtimesbn[]O H []jehOtildeQcYKEgraveJLhYXiacute[PhlZOslashJU^QcO H MehJLJyZaringNPQcO Y H JLK-Yaring

uumlnyacute|thornLyuml13 y

yenKbrvbarsect =4 acirc $ hf^ltO H hZ[W^jb H QR[]O[SX$NOslash^mWONSZaringQcbLNPfYbMeJZOslashJSaring JTYJUNihbdMX[Ph H MeJOtildeKNih H Q H Qc[]O[SX H MeJaumlQZ N[PJadOumlcopytimesOslashszliglOuml UgraveUcircUacuteUuml szligYYacutejWMQcbdMZaringQcOQuVZaringQVcurrenLJUY H MeJbnhQ H JLhQR[]Oocirc|adOumlcopytimesOslashgtszliglOuml UgraveUcircUacuteUuml szligYYacutej^eJUYZbnhQRcentEgraveJU^aeligQcOa2j^ MQcfRJNPYZYZjZaringQcO[

H MN H NPO`[PK H QZaringNPf9KNih H Q H Qc[]O JkWQsY H Ye H MJTQcYZYZjJTQcY H [ bn[]ZOslashKj H J H MQcYiexclY[]fcjWVH QR[]OO^ G QsObnJ H MeJ YJ H [SX(NPfcfy^e[]ZaringNPQsOYaumlMNPYIacuteOe[ H NaY H hjb H jehZJOslash[SXcopyUPJUb H [PhQsNPfYKNPbnJSeQ H QcYauml^Qz bLjf HUacuteH [abn[]ZOslashKj H J H MeJ ^eJLhdQVU~N H QUPJOslash[SX H MJ bnhQ H JLhQc[]ONPb|Vbn[Ph^QcO[ H [ H MJ^e[]ZaringNPQsOY^_[ bLQchbLjFZUPJUO H H MQcY`KhZ[PcentfcJZeyacuteWFJNiKKfmN H hNPOYYX[PhlZ N H QR[]O| H [ JUNPbM^e[]ZaringNPQsOOeYZjbdM H MN H Q H centEgraveJUbn[]ZOslashJUY`bn[]OWVH QcOj[]jYZfVm^eJLKEgraveJUO^eJUO H []O NPO JUP[]fsj H QR[]O KNihNSZOslashJ H JLhagrave^MeJ`bnhQ H JLhQR[]Ocent=JUbn[]ZaringJUYT^eJLKEgraveJUO^eJUO H []Obagravearingocirc|aagravejgaacute ocirc|adOumlcopytimesOslashaagravejszliglOuml UgraveUcircUacuteUuml aagravejszligYYacuteaagravejj^QO H MQcY^mBONSZaringQcbLNPfTYbMeJZOslashJSeiexclWFJ bLNPO hJUNP^QcfVm H N`PJQcO H [ NPbLbn[]jO H N K=[]YYZQRcentfRJU~NihQsN H QR[]O[SX H MeJ ^eJUYZbnhdQRK H [PhYWQ H M H MeJJUP[]fVUWQcO[ hZJ[]QR[]OYk|adOuml times j aacuteOumlcopytimesaagravej^

^QiexclJLhdQVU~N H Qc[]O [SX H MeJaumlbnhQ H JLhQc[]O jYZQcO[OslashYZMNiK=JOtilde[PK H QZaringQVcurrenUN H QR[]O H MJL[PhZJZaringYaringMeJNtildebnhdQ H JLhQR[]OocircOcircaagravej9QcY H MeJUOIacute^JLhQVUPJU^TNPbLbn[Phd^QcO[ H [5agrave H MNPO`WY H [ H MeJFbn[]ZaeligVKj H N H QR[]Oeuml[SX H MeJ0jfRJLhQcNPOeuml^eJLhQU~N H QVUPJaelig[SX_ocircjYZQcO[YZMNiKEgraveJaelig[PK H QZ QVcurrenUN H QR[]OKhQcObLQcKfRJUYeOWMQcbMQcYIacuteOJWQsO H MeJNihZJUN [SXNPb H QVUPJ bn[]O H []jehY^$ YXqNihOslashNPYH MeJF^JLhQVUiN H QR[]OTQcYbn[]ObnJLhOeJU^e H MeJU~NihdQcN H QR[]OIacute[SX H MeJF^JUYZbnhQRK H [PhdYWQ H M H MeJJUP[]fVUBQsO[OslashhZJ[]QR[]OY_Oumlcopytimesaagravej(NPO^Y[ordmWQ H MagravetZIacutejY H centEgraveJ H N`PJUOaQcO H [aringNPbLbn[]jO H ^

^vF[]ZOslashKj H N H Qc[]O [SX H MJaumlJUP[]fcj H QR[]OJjN H Qc[]OXh[]Z H MeJauml^eJLhQU~N H QVUPJSaringnot hZ[]Z H MeJNtilde^JLhQVUiN H QVUPJSeWFJNtilde^eJU^jbnJ H MeJUPJUfR[WbLQ H mordfUPJUb H [Ph$[SX H MeJFNPb H QVUPJbn[]OWVH []jeh H MN H WiexclQcfcfZaringN`PJQ H JUP[]fUPJiexclNPYXqNPY H NPY$KEgrave[]YZYQRcentfRJ H [WNih^YNtildeNgZaringQcOQCZIacutejFZ[SX H MeJOtildebnhQ H JLhdQR[]OO^ObLNPYJUacute[SX9hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhYe H MeJUacuteJUP[]fcjWVH QR[]OeumlJjN H QR[]Oeuml[SX H MJaringNPb H QVUPJaringbn[]O H []jhTQcYOtilde^QEgraveJLhZJUO H XhZ[]Z H MJtimes[]OJaringbn[]ZaeligVKj H JU^ Xiacute[Ph hZJ[]QR[]OWV4QcO^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhY^ G []ZOslashJ`NP^^Q H QR[]ONPf H JLhZaringYNiKKEgraveJUNihiexclNPO^`Y[ Q H QcY[SX$KhdQZOslashJaumlOeJUbnJUYZYQ H m H [bn[]OYZQc^JLh H MeJ H WNtilde[o`WQcO^Y([SX^eJUYZbnhQRK H [PhY(YJLKNihN H JUfmS^

9J H jYFOe[ H J H MN HFH MQcY[PJUOeJLhNPfKXiacutehNSZOslashJWF[PhY` bLNPO centEgraveJNiKK-fcQRJU^ H [ordmZaringNPOm ^QEgraveJLhVJUO H NiKKfsQcbLN H QR[]OYcentm[]OfVmbMNPO[]QsO[ H MeJT^eJUYbnhQRK H [PhY^ H MNPYcentEgraveJLJUOOe[ H NicentfmNiKK-fcQRJU^ H [ordmZOslash[UBQsO[aelig[Pcent~5JUb H Y(^J H JUb H QR[]O QcOoUBQs^eJL[timesYZJjeJUObnJUY(NPbjQchZJU^ JUQ H MeJLhWQ H MN Y H N H QcbawS]JUMNPOWV4XFJUYZY[]O J H NPfd^Ve sSs fLbjiexcl[PhUacuteNregZOslash[Pcent-QcfRJTbLNSZOslashJLhdNawS]JUMNPOWVXFJUYZY[]O J H NPf)^Ve sSs fncentj^ JUYZbnhQRK H [PhdYoZ Nm NPfcY[centEgraveJ YJBjeJUO H QcNPfcfVm jYJU^ H [QZaringKhZ[UPJ H MeJu-ONPfBhZJUYZjf H NPYyQ H MNPYampcentEgraveJLJUOaeligKh[PK=[]YZJU^timesQsOtawSPJUMNPOWV4XFJUYZYZ[]OOslashJ H NPfd^VesSs fLNOgravej^^f^~OacuteETHEgraveKEacute18=KETH32EacuteltOacuterEacute0frac34Ntilde83ltOacuteONtildeshyIacute=gtNtildeshyEumltIcirc=39IgraveFIacute5Igrave O QZaringN[PJumlOtildegta2atildeltszligaumlj QcYNxXqjOb H QR[]O ^eJOJU^ Xiacute[Phpounda2atildeshyszligaumlFj OumlOcirccenteuWMeJLhZJOumloslashQcY H MeJ QZaringN[PJ ^e[]ZaringNPQcOO^ltMeJ QCZaringN[PJ ^e[]Z NPQcOQcYIacutebn[]OYZQc^eJLhJU^ H [ cent=JZaringNP^eJjeK`[SX H WF[KNih H Ylaquoa not Q[^fjaring H MJyXiacute[PhZJ[PhZ[]jO^`KNih H bn[]O H NPQsOQcO[ H MeJT[Pcent~JUb H Y H [

uumlnyacute|thornLyuml13

f s $amp)(+-)013021+345627893lt=gt9A6CBYJ[]ZaringJUO H e=Oe[ H JU^frac34OumlcopytimesOslashFe-NPO^ H MeJaumlcent-NPbY`[PhZ[]jO^aKNih H Oe[ H JU^Ouml UgraveUcircUacuteUuml ^MeJauml^QcYZbn[]OWVH QcOBjQ H m`YJ H QcYOtildeNbLjehlUPJ Oe[ H JU^bYacute H MN H ^JOeJUY H MeJ cent=[]jO^NihYmcentEgraveJ H WNtildeJLJUO H MeJH WNtilde[ ^[]ZaringNPQcOY^ J H MJUOaYJUNihbdMtXiacute[Ph H MeJ H WNtilde[^e[]ZaringNPQsOYyacuteOuml UgraveUcircUacuteUuml NPO^wOumlutimes OslashWMQcbdMtZaringQcOQZaringQVcurrenLJ H MeJbnhQ H JLhQR[]Oocircuml[]QVUPJUOcentmumla2jehZJZaringQcO^eJU^ MeJLhZJSaring

ocirc|adOuml UgraveUcircUacuteUuml szliglOumlcopytimesOslashgtszligYYacuteQjumlaacute uuml thorn UgraveUcircUacuteUuml yuml a2atildeltszligaumlgtszliglOuml UgraveUacuteUuml j atilde auml $ uuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOuml timesOslash j atilde aumlamp uacuteucirc thorn yuml uuml thorn otilde)yuml a2atildeshyszligaumlFj THORN5OaumlbnhQ H JLhdQR[]Oa2je H MeJ|hY HH WNtilde[ H JLhlZaringY9NihJyhZJ[]QR[]OWVcent-NPYJU^ordfWMQsfRJ H MeJ H MQRhd^ H JLhlZQcYcentEgrave[]jO^NihYmVcentNPYJU^O^MeJiexclXqjOb H QR[]OYyacuteuuml thorn UgraveUcircUacuteUuml yuml egtuuml thorn timesOslash yuml NPO^tuuml thorn otilde)yuml NihZJaumlhZJUYKEgraveJUb H QVUPJUfmH MeJ^eJUYZbnhdQRK H [PhY[SX H MeJFcentNPbl`[PhZ[]jO^timesKNih H ei[SX H MeJ[Pcent~JUb H Y H [OtildeYJ[]ZOslashJUO H NPO^Iacute[SXH MeJaumlbn[]O H []jeh^KMeJauml^eJUYbnhQRK H [PhYuZ Nm centEgraveJordf[]fR[PcentNPfcfm N HH NPbMJU^ H [ H MeJOtildeJUP[]fVUWQcO[hZJ[]Qc[]OY(NPO^Y[ ^eJLKEgraveJUO^ []Ofrac34Ouml timesOslash [Ph5OumluUgraveUcircUacuteUuml^

G QcObnJ H MeJaringYJ H [SXNtildeNPfsf$^e[]ZaringNPQcOYUacuteMNPYOtildeO[ H N Y H hjb H jehJtimes[SXUPJUb H [PhQcNPfyYZKNPbnJSeWFJIacutebLNPOeumlOe[ H bn[]ZOslashKj H J H MeJaelig^eJLhQVUiN H QVUPJT[SX H MJIacuteKhJUBQR[]jYbnhQ H JLhdQR[]OaNPbLbn[Ph^QcO[H [euml^e[]ZaringNPQcOY^ltMJLhZJX[PhJSe H [bn[]ZOslashKj H JNPO[PK H QZaringNPfFY[]fcj H Qc[]OOe9Neuml^mWONSZaringQcbLNPfYZbdMeJZOslashJOtildeQcYQcO H hZ[W^jbnJU^WMeJLhZJJUNPbM^[]ZaringNPQcO cent=JUbn[]ZaringJUY(bn[]O H QcOBje[]jYfVm ^eJLKEgraveJUOWV^eJUO H []ONPO JUP[]fcj H QR[]O KNihdNSZOslashJ H JLhagrave^59[ X[PhZaringNPfcQVcurrenLJ H MQcYQc^eJUNe WNtildeJxZaringNmYZjKKEgrave[]YJ H MN HTH MJ JUP[]fcj H Qc[]OKhZ[WbnJUYZYtimesQcY H [ H NPfsfVm^eJ H JLhlZaringQcOJU^centm H MJ JkeQcY5VH JUObnJiexcl[SXgNyXqNSZaringQcfmIacute[SXgNiKK-fcQcbLN H QR[]OY| H MN HNtildeH hNPOYXiacute[PhlZaringY H MeJiexclQsOQ H QcNPfe^e[]Z NPQcOYOumlcopytimesOslashgta s jNPO^tOuml UgraveUcircUacuteUuml a s jQsO H [ H MeJIacutebLjehZhZJUO H ^e[]ZaringNPQcOYyacuteOumlcopytimesOslashKaagravejNPO^frac34Ouml UgraveUcircUacuteUuml aagravejaring

OumlutimesUcirca s j ntilde OumlcopytimesaagravejYacutea s j ntilde Yacuteaagravej WiexclMeJLhZJVQaacuteiV[Ph Kf5 iumlMBjY H MeJOtildehJ[]QR[]OY(JUP[]fVUPJ H [WNih^YiexclNPO [PK H QZaringNPf9Y[]fcj H QR[]O^MeJ H hQRKfcJ H Ouml UgraveUcircUacuteUuml aagravejszliglOumlcopytimesOslashOaagravejszligYYacuteaagravejordmZIacutejY H NPb H NPYNregZaringQcOQZ QVcurrenUQcO[TYZJjeJUObnJgX[Phocirc|adOuml UgraveUcircUacuteUuml szliglOumlcopytimesOslashszligYYacutejWiexclMeJUOagrave JUP[]fVUPJUY^MeJ5XqjOb H QR[]ONPfOocircOcircadOuml UgraveUacuteUuml aagravejszliglOumlcopytimesOslashaagravejszligYYacuteaagravejjMNPY H [ bn[]OOgraveUPJLhY[PJ H [WNih^Y H MeJpoundZaringQcOQCZIacutejFZ UiNPfcjeJeuml[SXregocirc2NPYfrac34agraveacircntilde ograveegrave^ MeJbnhQ H JLhQR[]O H MeJUO centEgraveJUbn[]ZOslashJUYaring

ocirc|adOuml UgraveUcircUacuteUuml aagravejszliglOumlcopytimesOslashaagravejszligYYacuteaagravejjaacute thorn yuml uuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszliglOuml UgraveUcircUacuteUuml aagravejj atilde auml 5$ thorn yuml uuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashKaagravejj atilde aumlj uacuteucirc thorn yuml uuml thorn otilde)yuml a2atildeshyszligaumlFj THORN adh]jMJoXqjOb H Qc[]ONPf_ocircOcircadOumlyacuteUgraveUacuteUumllaagravejszliglOuml timesOslash aagravejszligYYacuteaagravejjaeligQcY H MeJLhZJUNX H JLh O[ H JU^egraveocirc|aagraveje0NPO^H MeJ ^eJUYZbnhQcK H [PhYuuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashKaagravejj NPO^icircuuml thorn UgraveUcircUacuteUuml yuml a2atildeltszligaumlgtszliglOuml UgraveUcircUacuteUuml aagravejjaringNihZJ`hZJUYKEgraveJUb|VH QVUPJUfmUacuteO[ H JU^laquouuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejgNPO^laquouuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszligYagravejeWMQcbdMTfRJUNP^Y H [ H MeJXiacute[]fcfR[WQcO[

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ fSfJkWKhZJUYZYQR[]OOaring

ocirc|aagravejumlaacute thorn yuml uuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszligYagravej atilde auml $ thorn yuml uumlgtthorn timesOslash yuml a2atildeltszligaumlgtszligYagravej atilde aumlj uacuteucirc thorn yuml uumlgtthorn otilde)yuml a2atildeshyszligaumlFj THORN af s j5OOtildebn[]O H hdNPY H WQ H MUacute[ H MeJLh9NPb H QVUPJFbn[]O H []jehdY9NiKKh[]NPbMeJUYe H MeJy^mWONSZaringQcbLNPfPYZbdMeJZOslashJQcYtimesMeJLhZJ^QRhJUb H fVmQcO H h[B^jbnJU^QcO H MeJbnhQ H JLhQc[]OO^ Q H MYZjbdMNeumlYZbdMeJZOslashJSe H MeJQcO H hZ[W^jb H QR[]OOacute[SXiexclNPO NPb H QVUPJbn[]O H []jehOslashJUP[]fVUWQcO[ WQ H Msup1agraveQcYaeligY H hNPQ[]M H Xiacute[PhYWNih^O^iexclJUObnJ WNtildeJbn[]OYZQc^eJLh H MN H Yacuteaagravej QsYoZaring[B^eJUfsfRJU^ NPY NPO NPb H QUPJOacutebn[]O H []jh H MN Hbn[]OUPJLhY[PJUY H [WNih^Y H MJgONPfEgraveJkWKEgraveJUb H JU^YJ[]ZOslashJUO H N H QR[]OO^9J H Yacutea s jtimescentEgraveJ H MeJQcOQ H QcNPfNtildebLjhYUPJa^eJOJU^centm H MeJjYJLh^ JahZJUbLNPfcf H MN H WFJYJUNihdbMtXiacute[Ph YacuteaagravejNPYNaringbLjehlUPJaumlJUP[]fVUWQcO[aringNPbLbn[Ph^QsO[ H [ H MeJgXiacute[]fcfR[WQcO[ordm5 aringaelig YacuteadTHORNOgraveszligYagravejaelig agrave aacuteegraveeuml WiexclQ H MigraveYacutea s j|aacuteegraveYacuteshyiacute afSfjWMJLhZJ_euml`QcY H MJ_UPJUfR[WbLQ H mUPJUb H [Ph([SX H MeJUacuteNPb H QVUPJOtildebn[]O H []jh^MeJ_Z NPQcO KhZ[PcentfRJZfcQcJUYFQsO-O^QcO[ H MeJiexclUPJUfR[WbLQ H meumlXhZ[]Z H MJUacutebnhdQ H JLhQR[]Opoundaf s jFQcO [Ph^JLh H [ordm[PJ HH MeJXqNPY H JUY H bLjhYUPJaumlJUP[]fcj H Qc[]O H [WNih^Y H MeJordfONPfYJ[]ZaringJUO H N H QR[]O^^ ^iexclEacuteltIacuteETHNtildeFETHEacuteshyOacute Eacute10wETH9Igrave8ltIgraveFEgravegt+NtildeFETH3gt+ltIgraveumlEacute10frac34ETH9Igrave=KEgrave13ETHIgraveFEgraveEacuteshyOacute5Oeuml[Ph^eJLh H [ [Pcent H NPQsO H MeJOslashJUP[]fcj H QR[]OeumlJBjN H QR[]Oe H MeJaringbnhQ H JLhQc[]OxocircOcircaagravej5ZtimesjY H centEgraveJ^QV=JLhZJUO H QcN H JU^WQ H MhZJUYKEgraveJUb H(H [agrave^MeJOtildeQcO H J[PhNPfcentEgrave[]jO^Y^eJLKEgraveJUO^ []Otagrave NPO^H MeJauml^JUYZbnhQRK H [PhdYyacuteuuml thorn UgraveUcircUacuteUuml yuml a)jNPO^wuuml thorn times Oslash yuml a)juZaringNm NPfcY[aring^JLK=JUO^[]Otagrave^9J H jY^eJOJ H MeJordfXiacutejOb H QR[]ONPfuumlOa2atildeltszligaumlgtszligYagravejYZjbM H MN H aring

uumlOa2atildeltszligaumlgtszligYagravej|aacute uuml thorn UgraveUacuteUuml yuml a2atildeltszligaumlgtszligYagravej QVXcopya2atildeltszligaumljwOuml UgraveUcircUacuteUuml aagravejuuml thorn times Oslash yuml a2atildeltszligaumlgtszligYagravej QVXcopya2atildeshyszligaumlFjtOumlcopytimesOslashKaagravej af jMJbXqjOb H QR[]ONPfuuml thorn UgraveUcircUacuteUuml yuml a)jNPO^Huuml thorn times Oslash yuml a)j`NihZJ^eJOJU^ []O H MeJxWMe[]fRJ7QZaringN[PJ^e[]Z NPQcOtOumliexcl^FMeJUOe H MeJaumlbnhQ H JLhQc[]OocircOcircaagravejuWhQ H JUY(NPYaring

ocirc|aagravejOcircaacute uacute uumlOa2atildeshyszligaumlKszligYagravej atilde aumlj uacuteucirc thorn yuml uumlgtthorn otilde)yuml a2atildeshyszligaumlFj THORNordfaacuteocirc aagravej ocirc cent aagravej af]jWMJLhZJgOuml QcY H MeJaumlQCZaringN[PJT^e[]ZaringNPQsOOeeNPO^Oaring

ocirc aagravej|aacute uacute uumlOa2atildeshyszligaumlKszligYagravej atilde aumlocirc cent aagravejOcircaacute uacuteucirc thorn yuml uuml thorn otilde)yuml a2atildeshyszligaumlFj THORN

uumlnyacutenthornnyumll13YSordmY_F

f $amp)(+-)013021+345627893lt=gt9A6CB5OOtilde[Ph^eJLh H [bn[]ZaringKj H J H MJ0^eJLhQVUiN H QVUPJy[SX H MJNtildebnhQ H JLhdQR[]Olaquoocirc aagraveje H MJNtilde^QcYbn[]O H QcOBjWVQ H QcJUY|ZtimesjY H JkWKfcQcbLQ H fVmIacutecentEgraveJ H N`PJUOQcO H [IacuteNPbLbn[]jO H ^ not [Ph(YZjbdM NIacuteKjehZKEgrave[]YJSeSWFJ5hY HhZJUbLNPfsf-N[PJUOeJLhNPf H MeJL[PhJZbn[]ObnJLhOQcO[ H MeJUacute^eJLhQVUiN H QVUPJ[SX9N H QZOslashJnV4^eJLKEgraveJUO^JUO HbnhQ H JLhQR[]OO^9J H jY(^eJ-OeJyOumlcopytimesaagravejNPYNOslashhZJ[]Qc[]OQcObLfcj^eJU^QcO H [regOumlordf^yacute5 q Ntilde_ f^1ltuumlStimesBiexcl centpoundcurrenyencurrenbrvbarsectumlordfcopynotlaquo3shyyenLregmacrcurrenRlaquodegcurrenbrvbarlaquo Oumlplusmna s szligsup2|iexcljsup3acute Rlaquomicromiddotparagtltocirc|aagravejOcircaacute w thorn yuml uumlStimesYa2atildeltszligaumlgtszligYagravej atilde auml~sup3cedilsectsup1ltlaquoordm ocirc agrave aacuteocirc7raquodaagravejOcircaacute thorn yuml aelig uumlStimesaelig agrave atilde auml uacutefrac14 thorn yuml uumlStimesYafrac34frac12 eacuteAgraveiquestsup1AacuteAtildeAcircYj THORNAuml sectsup1ltAringPfrac12AEligreg(centsectsup1Ccedilbrvbar_paracurrenyenshyltregLLEgraveacutecurrensup2uml aelig Oumlcopytimesaagravej RlaquomicroeacuteAgraveiquestsup1AacuteAtildeAcircEacuteregEcirccentsectsup1copysup1laquoregEumlreg(laquo Auml brvbarAringsup2microacutelaquocurrenRAringordfpound RparaIgravecurren aelig Oumlcopytimesaagravej_IacuteMJ^JLhQVUiN H QVUPJ[SXshyocircWQ H MaelighZJUYZK=JUb HampH [yagraveaeligQcY H MJyacute0jfRJLhdQcNPOIacute^JLhQVUiN H QVUPJ([SXocirc|adOumlcopytimesAjQcO H MeJOtilde^QRhJUb H QR[]O [SXEumlfrac12umleWMQcbdM bn[]ZaringKj H N H QR[]O QcY[]QVUPJUO QsO iexclKKEgraveJUO^Qkaring ^FMeJUiNihQcN H QR[]Oeuml[SX5ocirc QcYOtilde^jeJ H [ H MeJUiNihQcN H Qc[]O[SX H MeJordmXiacutejOb H QR[]ONPfOcircuuml]timesa2atildeltszligaumlgtszligYagravejaumlNPO^H [ H MeJgZOslash[ H Qc[]O[SX H MeJOtildeQcO H J[PhNPf^e[]ZaringNPQsOOumlutimesaagravej^ Y(Naeligbn[PhZ[]fcfcNihYm [SXltMJL[PhZJZfeFWFJordf[PJ H aringv q q shy9 5lt f^yenIcirccopyNcentampcentcopyIuml-Iumlsup1currenfcentyenYsectnot -sectsup1Ymicro-currenRpound Rreglaquofrac34Oumlgaagravejampreg(centpound -microETHcopyIumliexclcurrensup2uml Auml currenCIuml RAringordfcentsup3yOuml timesOslash aagravejNtilde RlaquomicropoundOumlyacuteUgraveUacuteUumllaagravejOgravecentyenfrac34Iumlsup1 brvbarAringsup2 brvbarmicro_Egraveh iexclpoundYcurrenbrvbarCcedildreglaquoNOacutehreglaquo5_Aringumllt -shytYacuteaagravejAuml sectETHregmacrshy_sectOcircCcedilRltparaOtildecurrendshyltregLLEgraveregEcirccentyacuteeumlEumlIacuteOumlsectsup1Uumlordfcopynotlaquo3shyyenLregmacrcurrenRlaquouumlOa2atildeltszligaumlgtszligYagravejreg(centcentordfcopyIuml-Iumlsup1currenfcentyenmicroOcircIgravecurrenOcirccentltfrac34Iuml RAringsup2 -_paraEgraveshycurrenRlaquo5LreglaquocopycurrenRcopynotcentcedilreglaquoyOumlcopytimesOslashKaagravejW Rlaquomicro Ouml UgraveUcircUacuteUuml aagravej_copy3pound REgraveampJmicrobrvbarregEcirccentltshycurrenRlaquo5LreglaquocopycurrenRcopynotcentJ -shyltAringPcurrenfcentcentYacuteaagravej_Iacutetimes Agravelaquocurrenbrvbaruuml thorn times Oslash yuml Rlaquomicroruuml thorn UgraveUcircUacuteUuml yuml sup3sectsup1Ccedilf brvbarparacopy5iexclcurrensup2umlwuumlreglaquoOslashAringordfcentIumlshydLreg(Ccedilbrvbar_paraEgraverOumlutimes OslashaagravejAgrave Rlaquo3microOuml UgraveUcircUacuteUuml aagravej_IacuteUgraveOumlsectNcopyNcentampsectmicroETH_Aringordfreg(CcedilR brvbarLregCcedilRcurrensup2umlordfocirc|aagravej Auml AringregLordfcent fcent_ordm

ocirc7raquo)aagravejOcircaacuteUacute thorn yuml aelig uumlaelig agrave atilde auml uacutefrac14 thorn yuml uumlOaLUcirc eacute iquestsup1Aacute j THORN uacuteucirc thorn yuml uumlNaeuml eacuteHj THORNAuml sectsup1ltAringPacute uumlNAringfrac34Iuml3AringP_centlt_laquocentYsectUumlordfcopysup1poundUgraveIumlcurrensup2umlguumlh -shyltAringPcurrenfcentcentordfYacuteaagravej_ordmW uumlNaacuteacircuuml thorn UgraveUacuteUuml yuml uuml thorn times Oslash yuml sup3eacute sectsup1ncopynotlaquo5reglaquo3currenRAringpound RparaIcirccurrensup2umlordfYacuteaagravejmicrobrvbarreg(AringshydmicroampumlAringPcurrenRpound Ouml UgraveUacuteUuml aagravejIgravecurrenOumlutimes OslashKaagravejsup3eacuteAgraveiquestsup1Aacutesectcopysup1laquoregLEumlreglaquo Auml RAringPmicroOcirclaquocurrenRAringordfpound Rpara1Igravecurren aelig Oumlgaagravejj RlaquomicroUcircYacutesectsup1jCcedilbrvbar_paracurrenyenshyltregLLEgravenCcedilbrvbarshydIgravecurrenRAringjcurrensup2uml_Oumlyaagravej_Iacute

plusmngLMOMraquo aring JbLNPO NiKKfVm MJL[PhZJZ f H [ H MeJ ^[]ZaringNPQcO Oumlutimes OslashaagravejaringNPO^ H [ H MeJ^e[]Z NPQcOtOuml UgraveUcircUacuteUuml aagravej^ ^^QcO[ H MeJ H WF[aringJjN H QR[]OYeFWFJOtilde[Pcent H NPQcO H MeJTbn[PhZ[]fcfsNihYmS^ H QcYIacuteOe[WY H hNPQ[]M H Xiacute[PhYWNih^ H [[PJ HtimesH MeJ ^eJLhdQVU~N H QUPJ [SX H MeJ bnhQ H JLhQR[]O ocirc aagravejaringWFJ H N`PJ5OumlyaagravejOcircaacuteAumlOuml H MeJiexclQZaringN[PJ^e[]Z NPQcOta not QV[^ j^MJUOOePcentmaeligJkWKfcQcbLQ H fVm H N`WQcO[

uumlnyacutenthornnyumll13YSordmY_FY

yenKbrvbarsect =4 acirc $ fH MeJtimes^QcYZbn[]O H QcOBjQ H QRJUY(QsO H [ NPbLbn[]jO HUacuteH MNPOF`BY H [ H MeJtimesbn[PhZ[]fcfcNihlmSe H MeJtimes^eJLhQVUiN H QVUPJ[SXocirc aagravejQcYcopy[]QVUPJUOacentmKaring

ocirc raquo aagravejumlaacute uacuteucirc thorn yuml uumlNaeuml eacutej THORN uacutefrac14 uumlOaLUcirc eacuteAgraveiquestsup1Aacutej THORN $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde auml thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afj

q centUWQR[]jYZfVmSe H MeJ7YJUbn[]O^ H JLhlZ [SX H MeJ7^eJLhQVUiN H QVUPJ afjaQcYcurrenLJLh[ YZQcObnJ H MeJJk H JLhONPf(centEgrave[]jO^NihYm aelig OumlD[SX H MeJ`QZaringN[PJaQcYkBJU^^OcircJLKfcNPbLQsO[` uumlN_WQ H MQ H YJkWKhZJUYZYQR[]OOeWNtildeJyO^Oaring

ocirc7raquo aagravejumlaacute uacuteucirc thorn yuml aduuml thorn UgraveUcircUacuteUuml yuml1 uuml thorn timesOslash yuml jaeuml eacuteHj THORN $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde auml thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afmacr]jMJUacute^JLhQVUiN H QVUPJOtilde[SXocirc cent aagravejQcY(bLfcNPYZYQcbLNPfdaring

ocirc7raquocent aagravejOcircaacute uacuteucirc thorn yuml a uuml thorn otilde)yumld huuml thorn otilde)yuml7 eacutejaeuml eacutej THORN af]jWMJLhZJ a2atildeshyszligaumlKszligYagravejQcY H MeJaumlbLjehlU~N H jehJ[SXQYacutea2atildeltszligaumlgtszligYagravej^MeJLhZJXiacute[PhZJSe H MeJOtilde^eJLhQVUiN H QVUPJ[SX H MeJgWM[]fRJOtildebnhQ H JLhQR[]O QsY H MeJordfXiacute[]fcfR[WiexclQcO[aring

ocirc raquo aagravejpoundaacute $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde aumlamp thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afzSj uacuteucirc thorn yuml aduuml thorn UgraveUcircUacuteUuml yuml uuml thorn timesOslash yuml uuml thorn otilde)yuml huuml thorn otilde)yuml eacutejaeuml eacutej THORN

^ ^~THORNUgrave2FEgraveOIgraveIcircIcirclt2EacuteltOacute Eacute0frac34ETH9Igrave8shyIgraveFEgraveEcirc+NtildeFETH3Ecirc+ltIgraveNtilde7==EacuteltEgrave7813Oacute14 ETHOEacute ETH9IgraveOacuteszligltOacuteshyEacuteOacuteAgrave+QIgraveFEumlEacuteAtilde=13ETH+ltIgrave5=KETHOEacuteshyEgravesup1euml5Oaelig[Ph^eJLh H [Tbn[]ZaringKj H J H MeJuUPJUfR[WbLQ H mUPJUb H [PhcopyeumleSWNtildeJMNUPJ H [yZ N`PJQ H NiKKEgraveJUNihyQcOH MeJhY HH WF[ ^e[]Z NPQcOaQcO H J[PhNPfcYiexcl[SX afzSjcentmJkWKhZJUYZYQcO[ H MeJZ NPY_XiacutejOb H QR[]OY[SX H MeJgUPJUfR[WbLQ H meumlQ^iexclJLhZJiexclWFJ H N`PJ H MeJ5[PJUOeJLhNPfbLNPYZJ5WiexclMeJLhZJ H MeJ^JUYZbnhQRK H [PhdYZaringNm ^eJLKEgraveJUO^ []OXiacuteJUN H jehZJUY5[]fR[PcentNPfsfVmN HH NPbMeJU^ H [ H MJtimeshJ[]QR[]OeumlNPO^eumlY[oZ Nm`^JLK=JUO^a[]O agrave^ JZOslash[W^eJUf$JUNPbdM^eJUYZbnhQRK H [PhIacuteNPYtimesNabn[]ZIacutecentQcON H QR[]OOacute[SXuXJUN H jhZJUYy[]fc[PcentNPfcfVmeumlN HH NPbMeJU^

uumlnyacutenthornnyumll13YSordmY_F

f $amp)(+-)013021+345627893lt=gt9A6CBH [ H MJOtildeJUP[]fVUBQsO[OslashhZJ[]QR[]OY_OumlcopytimesOslashKaagravejF[Ph_Ouml UgraveUacuteUuml aagravejaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejpoundaacuteAElig thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn timesOslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejszligiumlViumlViumlVszligagrave thorn timesOslash yumlaacute aagravejjuuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszligYagravejpoundaacuteAElig thorn UgraveUcircUacuteUuml yuml a2atildeltszligaumlgtszligagrave thorn UgraveUcircUacuteUuml yuml aagravejszligagrave thorn UgraveUcircUacuteUuml yumlcent aagravejszligiumlViumlViumlVszligagrave thorn UgraveUcircUacuteUuml yumlacirc aagravejjafi]j

WMJLhZJSaring agrave thorn(atilde yumlauml aacute 7aring thorn yuml5aelig thorn(atilde yumlauml a2atildeltszligaumlgtszligYagravej atilde auml WQ H Mpounda jOcircaacuteacircaVltjF[Pha Kf5 jiuml afh]j9J H jYuhY H bn[]ZOslashKj H J H MeJIacute^eJLhQVUiN H QVUPJOtilde[SXuuml thorn timesOslash yuml eFWFJgO^Oaring

aelig uuml thorn times Oslash yumlaelig agrave aacute aacuteccedilaumlegrave aelig thorn timesOslash yumlaelig agrave thorn times Oslash yumlauml a2atildeltszligaumlgtszligagrave thorn timesOslash yuml aagravejszligiumlViumlViumlVszligagrave thorn timesOslash yumlaacute aagravejj aelig agrave thorn timesOslash yumlaumlaelig agrave aagravej a s j J MNUPJOe[W H [bn[]ZOslashKj H J H MeJ ^eJLhdQVU~N H QUPJ [SXagrave thorn timesOslash yumlauml NPbLbn[Ph^QcO[ H [umlagrave^ JNiKK-fVm H MeJgMeJL[PhZJZigravefaumlNPO^WNtildeJy[PJ H aring

aelig agrave thorn timesOslash yumlaumlaelig agrave aacute $ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde auml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacutej THORN a fj

JLKfcNPbLQcO[ H MeJNtilde^eJLhdQVU~N H QUPJUY9[SX3agrave thorn timesOslash yumlauml WQ H M H MeJUQRhJkWKhZJUYZYZQc[]OYa fj9QcOa s jeSWFJ[Pcent H NPQsO H MJXiacute[]fcfR[WQcO[iexclJkBKhJUYZYZQR[]OX[Ph H MJF^e[]Z NPQcOaeligQcO H J[PhdNPf[SX H MeJ^eJLhQVUiN H QVUPJ[SX H MeJT^eJUYbnhQRK H [Ph uuml thorn times Oslash yuml aring

$ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde aumlacircaacute aacuteccedilaumlordfegrave -eacute thorn timesOslash yumlauml $ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde auml

aacuteccedilaumlordfegrave eacute thorn timesOslash yumlauml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacuteHj THORN a S jWMJLhZJSaring

eacute thorn timesOslash yumlauml aacute $ thorn yuml aelig thorn timesOslash yumlaelig agrave thorn timesOslash yumlauml a2atildeltszligaumlgtszligagrave thorn timesOslash yuml aagravejszligiumlViumlViumlVszligagrave thorn times Oslash yumlaacute aagravejj atilde auml a ]jMJIacuteJkWKhZJUYZYQR[]OwXiacute[Pha jyacuteaacute a Kf jiexclQcYbn[]ZOslashKj H JU^QsO H MeJaeligYZNSZOslashJordmZaringNPOOeJLhiexclWMQcfRJKNmBQsO[N HH JUO H Qc[]O H [ H MeJ`^QRhZJUb H QR[]O[SX H MeJ`Oe[PhlZaringNPfcopyUPJUb H [PheNPO^rWFJ H MBjY

uumlnyacutenthornnyumll13YSordmY_Fsup2

yenKbrvbarsect =4 acirc $ fmacr[Pcent H NPQsO H MeJg[PJUOeJLhNPfgJkBKhJUYZYZQR[]OXiacute[Ph H MeJauml^JLhQVUiN H QVUPJOtilde[SXocircOcircaagravejaring

ocirc raquo aagravejumlaacute uacuteucirc thorn yuml aduumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn times Oslash yuml uumlgtthorn otilde)yuml d hreguumlgtthorn otilde)yuml eacuteHjaeuml eacutej THORN aacuteccedilaumlordfegrave eacute thorn timesOslash yumlauml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacuteHj THORN acircccedilaumlordfegrave eacute thorn UgraveUcircUacuteUuml yumlauml uacuteucirc thorn yuml aelig thorn UgraveUcircUacuteUuml yumlauml aeuml eacutej THORN aacuteccedilaumlordfegrave -eacute thorn timesOslash yumlauml $ thorn yuml aelig aelig thorn

timesOslash yumlaumlaelig agrave atilde auml acircccedilaumlordfegrave eacute thorn UgraveUcircUacuteUuml yumlauml thorn yuml aelig aelig thorn

UgraveUcircUacuteUuml yumlaumlaelig agrave atilde auml a j^ ^ecirccopyEgraveEacuteshyIacuteIumlETH39shyIgrave8shyIgraveFEgraveEcirc+NtildeFETH3gt+QIgraveETHOEacute3iexclNtildeshyEgrave78QIcircETH9IgraveumlIgrave+EacuteltEumlETHshyETHEacuteshyOacuterIgrave5euml1ONtildeFETH32EacuteltOacuteEacute10wETH9Igrave Ntilde=KETH3gt+ltIgrave=EacuteshyOacuteshyETHEacute1EgraveMJ[P[]NPf[SX H MQsYampKNih H QcY H [aumlbn[]ZOslashK-j H J H MeJ(JkWKhZJUYZYZQc[]Oaelig[SX H MeJuUPJUfc[BbLQ H mUPJUb H [PheumlwWMQcbdMregZaringN`PJUY H MeJUacutebLjehYUPJJUP[]fVUPJOtildeNPYXiacuteNPY H NPYFKEgrave[]YZYZQRcent-fRJ H [WNih^Y(NZaringQcOQCZIacutejFZ[SX H MeJaeligbnhQ H JLhdQR[]Oumlocirc^KO`[Ph^eJLh H [ ^JU^jbnJ H MJyUPJUfR[WbLQ H mwUPJUb H [PhOtilde[SX H MeJaeligNPb H QVUPJbn[]O H []jehQXhZ[]Z H MeJF^eJLhQVUiN H QVUPJ0[SX H MeJNtildebnhQ H JLhQR[]OOeWFJMNUPJ H [5Z N`PJFNiKKEgraveJUNih H MeJUPJUfR[WbLQ H moUPJUb H [PhUacuteQcO H MJTfcNPY HH WNtilde[ ^e[]ZaringNPQcOaQcO H J[PhdNPfcY(centm JkWKhZJUYYZQcO[ H MeJZ NPYcentEgrave[]jO^NihYm QcO H J[PhNPfcY^FMQcYbLNPOaJUNPYZQcfVm centEgraveJauml^e[]OeJTjYZQcO[MJL[PhZJZigravefe-^[]ZaringNPQcOQcO H J[PhNPfcYbLNPOeumlNPfVWNmWYiexclcentEgraveJIacuteJkBKhJUYZYJU^ NPYcentEgrave[]jO^NihYm QcO H J[PhdNPfcY^gtiexcl[WFJUPJLheOXiacute[PhYZQCZOslashKfcQcbLQ H mSe-fcJ H jYbn[]OYZQc^eJLh H MeJaringbLNPYJUYgWMeJLhZJ H MeJUYJOslashfcNPY HH WNtilde[`QcO H J[PhdNPfcYOtildeNihZJJBjNPf H [currenLJLhZ[eOgraveWMQcbMaringMNiKKEgraveJUOYX[PhZOslash[]Y H hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhdQRK H [PhY^S5OH MN H bLNPYJSeNPbLbn[Ph^QsO[ H [ H MeJaeligQcOeJBjNPfcQ H m[SXvNPjbdMOgravemV G bdMOgraveWNih H currenSe H MeJXiacuteNPY H JUY H^eJUbnhJUNPYJa[SXocirc|aagravejOslashQcY [Pcent H NPQcOeJU^ XhZ[]Zecirca jOslashcentm bMe[B[]YZQcOF[beuml aacute ccedilyeacute WMQsbMfRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[aeligJUP[]fcj H Qc[]O JjN H QR[]OOaringaelig Yacuteaagravejaelig agrave aacuteFuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yuml uuml thorn otilde)yuml eacute aacuteccedilaumlordfegrave ETHeacute thorn timesOslash yumlauml aelig thorn timesOslash yumlauml acircccedilaumlordfegrave ETHeacute thorn UgraveUcircUacuteUuml yumlauml aelig thorn UgraveUcircUacuteUuml yumlauml lteacute a macr]jUcircX H MJ^eJUYZbnhQRK H [PhY$^e[TOe[ H ^eJLKEgraveJUO^times[]OregagravetaiacutehZJ[]QR[]OeV4QcO^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhYjeH MeJgiexcl hZJU^jbnJUY H [ H MeJordfXiacute[]fcfR[WQcO[aeligJkWKhZJUYZYQR[]OOaringaelig Yacuteaagravejaelig agrave aacuteigraveuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yumldn reguuml thorn otilde)yuml7 eacutelteacute a ]j

uumlnyacutenthornnyumll13YSordmY_FY

f $amp)(+-)013021+345627893lt=gt9A6CB JaeligbLNPO`O[ H QcbnJ H MN HH MeJtimes^eJLKEgraveJUO^eJUObnJauml[SX H MJIacute^eJUYZbnhdQRK H [PhY[]OwagraveeEgraveNPO^aY[ []OH MeJiexclbLjehYUPJJUP[]fcj H QR[]OOeQcO^jbnJUY0NP^^Q H QR[]ONPf H JLhlZaringYFQcO H MeJiexclJUP[]fcj H QR[]O JjN H QR[]O[SX H MJFNPb H QVUPJ(bn[]O H []jeh^SMeJNP^^Q H QR[]ONPf H JLhZaringYQX[]jO^IacuteQcOoa macr]jbLNPOOe[ H hZJUNP^QsfVmcentEgraveJtimes[Pcent H NPQcOeJU^ WMJUO H MeJOslash^mBONSZaringQcbLNPfampYZbMJZOslashJaringQcYOtildeQcO H hZ[W^jbnJU^eumlNX H JLh H MeJOslashbn[]ZaeligVKj H N H QR[]Oa[SX H MeJaelig^eJLhQVUiN H QVUPJaeligjYZQcO[o0jfcJLhVA9N[PhNPOF[PJIacuteJBjN H QR[]OY^MjYe-Q H QcY[SX=KhQZaringJOeJUbnJUYZYZQ H m H [TQcO H hZ[B^jbnJ H MeJ^mWONSZaringQsbLNPfeYZbMeJZaringJiexclQcO H [ H MeJbnhQ H JLhQR[]OQ H YZJUfVXiexclQcO[Phd^eJLh H [JUNPYZQsfVmsup1[PJ H H MeJUYJaNP^^Q H QR[]ONPf H JLhlZ Y QcO bLNPYJa[SXhJ[]QR[]OWV^eJLKEgraveJUO^JUO H ^JUYZbnhQRK H [PhdY^MNPO`BY H [ H MeJUYJeumlNP^^Q H QR[]ONPf H JLhlZaringYeWFJ`JUOYZjehZJH MeJordfXqNPY H JUY H JUP[]fcj H QR[]O [SX H MeJIacutebLjehYUPJ H [WNih^YiexclNZaringQcOQZIacutejZ [SX H MeJTbnhdQ H JLhQR[]OO^ JeumlbLNPO NPfcY[hZJZaringNihY` H MN H H MeJUPJUfR[BbLQ H m[SX H MeJ bn[]O H []jhQsOa macr]j bLNPOcentEgraveJ K=[]YQ H QVUPJ[PharingOeJ[]N H QVUPJS^|MQcYaeligNPO QcO H JLhZJUY H QcO[eumlKh[PK=JLh H mOacute[SXiexclhZJ[]QR[]OWVcent-NPYJU^NPb H QVUPJ bn[]O H []jehY^ q O H MeJ bn[]O H hNihYm H [ centEgrave[]jO^NihYmVcentNPYJU^7NPb H QVUPJ bn[]O H []jehdYehZJ[]Qc[]OWVcentNPYJU^7NPb H QVUPJbn[]O H []jehYOslashNPfcfR[WYZ[]ZOslashJKNih H Ytimes[SX H MeJ bLjehYUPJ H [YZMehQsO`WMQcfRJ[ H MeJLhY(JkWKNPO^O^FMjY H MeJaumlQcOQ H QsNPfcQVcurrenUN H QR[]O QcYfRJUYYbn[]OY H hNPQsOeJU^O^^ macr^iexclEacuteltIacuteETHNtildeFETHEacuteshyOacute Eacute10wETH9IgraveumlIgravesup1+shyEacuteltEumlETHETH3EacuteshyOacuterIgrave5euml1ONtildeFETH32EacuteltOacute0EacuteltEgravexIcircEacuteshyIacute5IgraveIgrave2shyNtildeshyIacuteEumlOgraveIgraveIcirclaquoEacute10C8ltIgraveIcircd=KEgrave(ETHEacuteltEgraveIcircMJu[P[]NPf[SX H MQsY$KNih H QsY H [timesbn[]ZaringKj H J H MeJiexclJUP[]fcj H QR[]O JjN H QR[]Oaring[SX H MeJNPb H QVUPJbn[]O H []jehOcircXiacute[Ph0Y[]ZOslashJ(JkeNSZOslashKfcJUY$[SX-hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhY^SgJ H jY H N`PJY[]ZaringJT^eJUYZbnhQcK H [PhY(^eJLKEgraveJUO^QsO[aelig[]O H MeJyZOslashJUNPOBSOtimesOslash [Phiexcl[]O H MeJgUiNihQcNPObnJjuFtimesOslash [SXH MeJOtildeJUP[]fUBQcOF[OslashhZJ[]QR[]OwOumlcopytimesOslashaagravejaringEFFG FFH SOtimesOslashKaagravejumlaacute iacute $ w$ thorn yuml Otilde atilde auml WiexclQ H M icirctimesOslashaacute w$ thorn yuml atilde aumlu centtimes Oslash aagravejsup1aacute iacute $ w$ thorn yuml aOtilde SOtimes OslashKaagravejj cent atilde auml^ macr^f^iumlordfcentltshyltAringordfregethIumlIgravecurrenRAringcentmicroETHfrac34IumlltlaquomicroRreglaquoNOacute]currenRlaquosectsup1jCcedilR RAringordfregL Rlaquo3shy JTbdMe[B[]YJ H MeJgXiacute[]fcfR[WQcO[OslashYJ H [SX^eJUYbnhQRK H [PhYaring

uuml thorn UgraveUcircUacuteUuml yuml ^e[BJUYOe[ H ^eJLKEgraveJUO^[]Owagraveuuml thorn timesOslash yuml aacutecntildeaLuOcenttimes Oslash j a zSjWMJLhZJampntildeaOgravejQsYNOslashKEgrave[]YZQ H QVUPJiexclXqjOb H QR[]O[SX$bLfcNPYYograve aj^MQcYiexclUPJUfR[WbLQ H mumlUPJUb H [PhOslashQcYaumlbn[]ZaringKj H JU^centmeumlhZJLKfcNPbLQsO[ H MeJ H JLhZaringYauml[SXga jgWQ H MH MeJUQch$JkBKhJUYZYZQR[]OY^ J hY H JkWKhZJUYZY H MeJ^eJUYZbnhQcK H [Ph|uuml thorn timesOslash yuml NPYyNTbn[]ZTcentQsON H QR[]O[SXamp^e[]ZaringNPQcOY(QcO H J[PhdNPfcYaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacutemiddot thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn timesOslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejjaacutecntildeoacute agrave thorn timesOslash yuml aagravejagrave thorn timesOslash yumlcent aagravejfocirc a i]j

uumlnyacutenthornnyumll13YSordmY_FPa

yenKbrvbarsect =4 acirc $ fzWMJLhZJSaring EFFG FFH agrave thorn timesOslash yuml aagravejpoundaacute w$ thorn yuml aOtildegta2atildeltszligaumlj SOtimes OslashaagravejjUcirccent atilde aumlagrave thorn timesOslash yumlcent aagravejpoundaacute w$ thorn yuml atilde auml a h]j O^ H MBjYaring aelig thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacuteacircaOtildeKa2atildeshyszligaumlFj S timesOslash aagravejjUcirccentaelig thorn timesOslash yumlcent a2atildeshyszligaumlKszligYagravej|aacute f ad s j Y5XiacuteNihaumlNPY H MeJOslash^e[]Z NPQcO`QsO H J[PhNPfsYUacute[SX H MeJOslash^eJLhQVUiN H QVUPJaelig[SX H MJXqjOb H QR[]OY aelig thorn timesOslash yumlaumlNihZJaumlbn[]ObnJLhOeJU^OeFWFJauml[Pcent H NPQsOOaringEFFFG FFFH w5$ thorn yuml frac14ltotildeouml $_divideoslashfrac14 atilde aumlordmaacute frac14ltugrave $frac14 w$ thorn yuml aOtildeKa2atildeshyszligaumlFj SOtimesOslashKaagravejj atilde aumlaacute sw5$ thorn yuml frac14ltotilde ouml $_divideacircfrac14 atilde aumlordmaacute s adfjMJ H JLhZaringY eacute thorn timesOslash yumlauml NPfcY[aringMNUPJ H [ cent=Jaumlbn[]ZaringKj H JU^OeNPO^tWNtildeJg[PJ H aringEFFFG FFFH eacute thorn

timesOslash yuml aacute w$ thorn yuml uacute ouml $_divideacircntilde raquo7ucirc uacute ouml $_divideoslashuacute ouml $_divideacircyacuteuuml atilde aumlaacutecntilde raquo aLu centtimesOslash jeacute thorn timesOslash yumlcent aacute w$ thorn yumlBthorn uacute ouml $_divideoslashthorn uacute ouml $_divideacirc yuml acirc ntilde raquo ucirc uacute ouml $_divideoslashuacute ouml $_divideacirc uuml atilde aumlregaacute u centtimes Oslash ntilde raquo aLu centtimes Oslash j

G QsObnJ H MeJOslash^e[]Z NPQcO`QsO H J[PhNPfsYiexcl[SX frac14ltotildeouml $ordfdivideoslashfrac14 NPO^ frac14ltotildeouml $_divideacircfrac14 NihZJaeligJBjNPf H [currenLJLhZ[poundadfjeWFJOtildebLNPO ^QRhZJUb H fVm bn[]ZOslashKj H J H MeJiexclUPJUfR[WbLQ H mregUPJUb H [Ph[SX H MeJOtildeNPb H QVUPJTbn[]O H []jehuXiacutehZ[]Za macr]jNPO^WNtildeJyO^Oaringaelig Yacuteaagravejaelig agrave aacuteuumlgtthorn timesOslash yuml uumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn otilde)yuml dacute uumlgtthorn otilde)yuml eacutentilde raquo aLu centtimes Oslash jaaOtilde SOtimesOslashj cent u centtimesOslash jcedilQeacute ad j5Otad jeOgraveWFJbLNPOaringhJZaringNihY` H MeJ(KhZJUYJUObnJ[SX H MJNP^^Q H QR[]ONPf H JLhlZntilde raquo aLuOcenttimesOslash jaaOtilde SOtimesOslashj cent u centtimesOslash jeacuteacirc^^ macr^ ^iumlordfcentltshyltAringordfregethIumlIgravecurrenRAringcentmicroETHfrac34IumlltlaquomicroRreglaquoNOacute]currenRlaquosectsup1jpoundn Rlaquo JTbdMe[B[]YJ H MeJgXiacute[]fcfR[WQcO[OslashYJ H [SX^eJUYbnhQRK H [PhYaring uuml thorn UgraveUcircUacuteUuml yuml ^e[BJUYOe[ H ^eJLKEgraveJUO^[]Owagraveuuml thorn timesOslash yuml aacutecntildeaOtilde S timesOslash aagravejj adS]j

uumlnyacutenthornnyumll13YSordmY_FPo

fi $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJampntildeaOgravejQsYNOslashKEgrave[]YZQ H QVUPJiexclXqjOb H QR[]O[SX$bLfcNPYYograve aj^ YKhZJUWQR[]jYZfVmSe H MeJlaquoUPJUfR[WbLQ H mfrac34UPJUb H [PhTQcYbn[]ZOslashKj H JU^eumlcentmhZJLKfsNPbLQcO[ H MJ H JLhZaringY[SXua jcopyWQ H M H MeJUQRh(JkWKhZJUYZYZQc[]OY^FMeJauml^JUYZbnhQRK H [Ph uuml thorn timesOslash yuml QcY(JkWKhZJUYZYJU^centmKaringuuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacutei thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn times Oslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejjaacutentildeoacuteOtilde agrave thorn timesOslash yuml aagravejagrave thorn timesOslash yumlcent aagravejfocirc adj

WMJLhZJSaring EFFG FFH agrave thorn timesOslash yuml aagravejpoundaacute w5$ thorn yuml Otildegta2atildeltszligaumlj atilde aumlagrave thorn timesOslash yumlcent aagravejpoundaacute w5$ thorn yuml atilde auml adSmacr]j O^ Y[aring aelig thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejOcircaacuteegraveOtildegta2atildeltszligaumljaelig thorn timesOslash yumlcent a2atildeshyszligaumlKszligYagravejOcircaacute f adS]jG QsObnJ H MeJordfXiacutejOb H QR[]OY aelig thorn timesOslash yuml NPO^ aelig thorn timesOslash yumlcent ^e[aringO[ H ^eJLKEgraveJUO^[]OtagraveeFWFJTMNUPJSaringEFFFG FFFH w$ thorn yuml frac14ltotilde5ouml $ordfdivideoslashfrac14 atilde aumlregaacute s

w$ thorn yuml frac14ltotilde5ouml $ordfdivideacircfrac14 atilde aumlregaacute s ad]zSjMJ H JLhZaringY eacute thorn timesOslash yumlauml NihZJ H MJUObn[]ZOslashKj H JU^eNPO^WFJauml[Pcent H NPQcOOaringEFFFG FFFH eacute thorn

timesOslash yuml aacute w$ thorn yuml thorn uacute ouml $ordfdivideacircntilde raquo7ucirc Otilde uacute ouml $ordfdivideoslashuacute ouml $ordfdivideacircyacuteuuml atilde aumlaacute thorn iacute $ w$ thorn yuml ntilde raquo aOtilde SOtimesOslashj atilde aumleacute thorn timesOslash yumlcent aacute w$ thorn yuml uacute ouml $ordfdivideoslashthorn uacute ouml $_divideacirc yuml acirc ntilde raquo ucirc Otilde uacute ouml $ordfdivideoslashuacute ouml $ordfdivideacirc uuml atilde aumlordmaacute ugrave $iacute $ w$ thorn yuml ntilde raquo aOtilde SOtimesOslashj atilde auml JUacutebLNPO H MeJUObn[]ZOslashKj H JUacute^QRhZJUb H fm H MJ_UPJUfR[WbLQ H mUPJUb H [Ph[SX H MeJUacuteNPb H QVUPJOtildebn[]O H []jhXiacutehZ[]Zigravea macr]j(NPO^WNtildeJyO^Oaringaelig Yacuteaagravejaelig agrave aacuteuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yumldacute uuml thorn otilde)yuml eacute aOtilde SOtimesOslashjicircFtimesOslash $ thorn yuml ntilderaquo)aOtilde SOtimesOslashjmiddotQeacute adSi]j

5O H MeJtimesKNih H QsbLjfcNihiexclbLNPYZJIacute[SXIcircntildeaOgravejuaacuteOslashScenteKWFJtimesMNUPJnntilde raquo aOgravejcopyaacute NPO^ H MeJLhZJXiacute[PhZJSeH MeJiexclNP^^Q H QR[]ONPf H JLhlZaringYebn[]ZaringQcO[gXiacutehZ[]Z H MeJ UiNihQcN H QR[]O [SX H MeJiexcl^eJUYbnhQRK H [PhYOcircWQ H MagraveeNihJJjNPf H [gcurrenLJLhZ[^[WNtildeJUPJLheWQsOordmZOslash[]Y H bLNPYZJUYe H MQsYyNP^^Q H Qc[]ONPf H JLhlZoslashQsYyOe[ H

uumlnyacutenthornnyumll13YSordmY_FPy

yenKbrvbarsect =4 acirc $ fhcurrenLJLhZ[^ not [PhaeligJkeNSZOslashKfRJSeampQVXUgraventildea]jaacute yuml Wiexcl cent eshyWiexclQ H MN`KEgrave[]YZQ H QVUPJ bn[]OY H NPO H eQWFJMNUPJSaring

ccedil aacuteFuumlgtthorn timesOslash yuml uumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn otilde)yuml uumlgtthorn otilde)yuml eacute aOtilde SOtimesOslashjicircFtimesOslash $ thorn yuml aOtilde SOtimesOslashj IcircAumlaOtilde SOtimesOslashj cent adSh]j^ ^~IacuteFEumlIgraveFIacute5IgraveFOacuteETHNtildeFETHEacuteshyOacuteAgraven13ETH9 ETH9IgraveumlEumlIgravesup1+ltIgraveFEumltIcircIgraveFETHbIacute5IgraveFETH9shyEacute18 YXqNih0NPY H MeJOBjFZOslashJLhdQcbLNPfeQZOslashKfcJZOslashJUO H N H Qc[]OtimesQsYybn[]ObnJLhOeJU^eSWNtildeJbLNPOZOslash[W^eJUf H MeJNPb H QVUPJaumlbn[]O H []jeh_WQ H MNPOJkBK-fcQcbLQ H KNihNSZOslashJ H JLhdQVcurrenUN H QR[]ObaN[PhNPO[]QcNPOXiacute[PhlZtimesjfcN~VH QR[]OKjaelig[Ph NPO QCZOslashKfcQcbLQ H []OeJraNtildejfRJLhQsNPO Xiacute[PhlZIacutejfcN H QR[]Ogtj^ G JLJra G J H MQcNPOOe5fhSh s jNPO^egraveaJUfcQcO[PJ HH J NPO^ _a[]O H N[]ON H e sSs fjX[PhaeligNPOQcO H JLhZJUY H QcO[eumlbn[]ZOslashKNihdQcY[]OcentEgraveJ H WFJLJUO H MeJ H WNtilde[ZOslashJ H M[B^Y^ iexclO[ H MeJLhOtildeQcO H JLhJUY H QcO[aringhJUBQRJW[]O H MeJtimes^Q=JLhJUO HZOslashJ H M[B^Y[SX$NPb H QVUPJIacutebn[]O H []jehQcY(Kh[PK=[]YZJU^ QcOpoundaw_[]O H N[]ON H J H NPfd^Ve sSs fj^iexclJLhZJSeWFJaumljYJ H MeJaumlfRJUPJUfYZJ H ZOslashJ H Me[W^ NiKKhZ[]NPbdM KhZ[PKEgrave[]YJU^centm q YMeJLhNPO^G J H MQcNPOa q YZMJLh NPO^ G J H MQcNPOe fhSiSi]j centj H hJ[]QR[]OWVcentNPYJU^ NPb H QVUPJeumlbn[]O H []jehdYZaringNmNPfcYZ[ centEgraveJQZOslashKfcJZOslashJUO H JU^7centmjYQcO[`XNtildeV4YK-fcQcOeJUYXiacute[PhaeligNPOJkWKfcQsbLQ H K-NihNSZOslashJnVH JLhQcurrenUN H QR[]O ayhZJUbLQc[]Y[ NPO^XNihfcNPj^Oe sSs fj^shyMJ`PJmeumlQc^eJUN [SX H MeJOslashfRJUPJUfampYJ HZOslashJ H M[B^QsY H [ QcO H hZ[W^jbnJaumlNPO`NPjkWQsfcQcNihYmXiacutejOb H QR[]O l a2atildeltszligaumlgtszligYagravejYZjbdM H MN H YacuteaagravejQcY H MJtcurrenLJLhZ[OacutefRJUPJUfYJ H [SX l ^OcircMJXiacutejOb H QR[]O l QsYaelig[SX H JUO bMe[]YJUO H [centEgraveJ H MeJYZQ[]OeJU^ ^QcY H NPObnJordfXiacutejOb H QR[]O[SXQYacuteaagraveje-NPO^ QsY H MeJUObdMNihNPb H JLhQVcurrenLJU^acentmKaring

YacuteaagravejOcircaacute a2atildeltszligaumljPO l a2atildeshyszligaumlKszligYagravejaacute s a2 s jMQcYOcirc0jfRJLhQcNPOordmXiacute[PhlZtimesjfcN H QR[]O KhZJUYZJUO H YFYJUPJLhNPfEgraveNP^UiNPO H N[PJUYga G J H MQcNPOOeKfhShS]j^not QRhY H fVmSe H MeJabLjehYUPJ l ZaringNmcenthJUN`[PhoZOslashJLhY[PJNPY H MJXiacutejOb H QR[]O l JUP[]fUPJUYeNPO^ H [PK=[]fc[S[]QcbLNPfbdMNPO[PJUYFNihZJ H MBjY$JUNPYZQsfVmOslashMNPO^fRJU^^ G JUbn[]O^fVmSe H MJJUP[]fVUWQcO[XqjOb H QR[]O l a2atildeshyszligaumlKszligYagravejNPfVWNmWY(hZJZaringNPQcOY(NlaquoXiacutejOb H QR[]O NPfcfR[WQcO[timesJltz bLQRJUO H OBjFZOslashJLhVQcbLNPfFYZbdMeJZOslashJUY^OcircMQRh^fVmSe H MeJ[PJL[]ZOslashJ H hQcb KhZ[PKEgraveJLh H QcJUYT[SX H MeJ bLjehYUPJSe$fcQV`PJ H MeJbLjehlU~N H jehJ NPO^ H MeJOslashOe[PhlZ NPfshyUPJUb H [PhordfJUfs^eacute e=bLNPO centEgraveJIacuteJUY H QZaringN H JU^euml^QRhZJUb H fmXiacutehZ[]Z H MeJTfcJUPJUfgYJ H XqjOb H QR[]Oaring aacute V ucirc l l uuml NPO^ eacuteecircaacute l l a2FfjMJJUP[]fsj H QR[]O JBjN H QR[]O H MeJUO centEgraveJUbn[]ZOslashJUYaringaelig l aagravejaelig agrave aacuteegraveccedilacute l a2 jMJregUPJUfR[WbLQ H msup1XiacutejOb H QR[]OxccedilEQcYIacutebn[]ZaringKj H JU^7[]OfVm[]O H MeJbLjehYUPJYacuteaagravejaumlcent-j H WFJbLNPO Jk H JUO^ Q H YFJkBKhZJUYZYZQR[]O H [ H MeJiexclWMe[]fRJUacuteQZaringN[PJOtilde^e[]Z NPQcOoOumlordf^[OslashQZOslashKfRJZaringJUO HH MeJIacutefRJUPJUf9YJ H ZOslashJ H Me[W^OeY[]fsj H QR[]OYuZtimesjY H centEgraveJgXiacute[]jO^ H [ bLQRhbLjZyUPJUO H Kh[PcentfRJZaringY

uumlnyacutenthornnyumll13YSordmY_FP

s $amp)(+-)013021+345627893lt=gt9A6CBbn[]ZaringQsO[ Xh[]Z H MeJpoundXqNPb HH MN H`H MeJYZQV[]OeJU^ ^QcY H NPObnJumlXqjOb H Qc[]O l QcYaOe[ H NY[]fsj H QR[]O[SX H MeJyiexcl a2 jeEgraveYJLJa []ZOslashJUYNPO^ not NPjF[PJLhNPYe sSsSs jyacuteXiacute[Phiexcl^J H NPQcfcY^5Oaelig[]jehWF[PhY`gte H MJuXiacutejOb H QR[]O l QcYamphZJUQsOQ H QcNPfcQcurrenLJU^TY[ H MN H Q H hZJZaringNPQcOYampNOtilde^QsY H NPObnJXqjOb H QR[]OenYZJLJ5aq jecentEgraveJLh H NPO^gcOtilde[PhdOeKhZ[PcentY H e sSs fJLcenthZJUjFUPJSe sSsSs jOXiacute[Ph^J H NPQcfcY[]O H MJOtildehZJUQcOQ H QsNPfcQVcurrenUN H QR[]O JBjN H QR[]OO^5Oeuml[Ph^eJLh H [QCZOslashKhZ[UPJaringOjFZaringJLhQcbLNPfJltz bLQRJUObmSeOWFJaringbn[]ZOslashKj H J H MeJOslashJjN H QR[]O[]O NIacuteONihhZ[Wcent-NPO^aringJUObLfc[]YZQcO[ H MJiexclfRJUPJUf s [SX H MeJUacutefRJUPJUf-YJ H XqjOb H Qc[]OO^ JUacuteNPfcY[jYZJZtimesjf H QRhZJUYZ[]fcj H QR[]O H JUbdMOQBjeJUYcentmZaringN`BQsO[ H MeJFNPb H QVUPJ(bn[]O H []jh$JUP[]fVUPJcopyhY H[]ONOslashfc[W hZJUYZ[]fcj H QR[]O QZ N[PJS^FMeJordfONPfbn[]O H []jeh[Pcent H NPQcOeJU^Xiacute[Ph H MQcYhJU^jbnJU^QZ N[PJaumlQcY H MeJUOjYJU^ NPYNPOQsOQ H QcNPfEgravebLjehYUPJordfXiacute[Ph H MJOtildehZJUNPfgYZQVcurrenLJaumlQCZaringN[PJS^

EparaacuteAgravegtmicrosup1acuteIKJcedilJT2MgtI MraquowMgtmicrosup1MAgravegtacuteIltacuteMgtPltAtilde iquest acuteAgravegtT2MKIshyAtildeAcirccedilAtildeacuteNicircMgtI cedilAEligMgtmicroOcircacuteOgraveJTCJT13MKI sup2OcircacuteJordfsacuteacuteI Jfrac14ltacutegcedilFLT2cedilIshyROgraveacuteAtilderaquoAMLBqoLacute13AtildeR]cedilsup32acute GmicrobcedilAgraveacuteAtilde5O H MQcYUacuteYJUb H QR[]OOeOWFJOslashKhZ[PKEgrave[]YJaeligY[]ZOslashJOslashhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhY H [YJ[iVZOslashJUO H M[]ZOslash[S[PJUOeJL[]jYiexclhZJ[]QR[]OYiexcl[]Ofrac34[PhZJmBYbLNPfRJIacuteQZ N[PJUY^gtMJUYJIacute^eJUYbnhQRK H [PhYiexclNihZJcentNPYZJU^[]O H MJZaringQcOQZaringQVcurrenUN H QR[]O [SX H MeJU~NihdQcNPObnJUYauml[SX H MJ H WF[`bn[]OYZQc^eJLhZJU^OacutehZJnV[]QR[]OY^ 5O H MJ7YJUbn[]O^ K-Nih H e H MJQZOslashKEgrave[Ph H NPObnJOacute[SX H MeJNP^^Q H QR[]ONPf H JLhZaringYebn[]ZaringQsO[XiacutehZ[]Z H MeJiexclU~NihdQcN H QR[]O [SX H MeJUacute^eJUYZbnhQcK H [PhYWQ H M H MeJiexclJUP[]fUBQcOF[IacutehZJ[]Qc[]OYeQcY9MQV[]MfcQ[]M H JU^O^ G QCZOslashKfRJJkWNSZaringKfRJUY9YMe[W H MeJ0QZOslashKEgrave[Ph H NPObnJ$[SX H MeJUYJ0NP^^Q H QR[]ONPfH JLhlZ Y H [ NPbMQRJUPJ H MeJOtildeJkWKEgraveJUb H JU^aYJ[]ZaringJUO H N H QR[]O^^f^laquoIgraveIcirc=KEgrave(FETHOEacuteltEgraveIcircEcircgtNtildeltIcircIgrave8 EacuteshyOacute ETH9Igravek+NtildeshyEgrave13NtildeshyOacute=KIgraveC0EacuteshyEgraveh4ltEgraveOIgravesup1QIcirc=NtildeltEumlOgraveIgrave2Iacute Ntilde4ltIgraveIcircMJQcO H JUOYZQ H mregXiacute[Phu[PhZJmWYZbLNPfRJaumlQZ N[PJUY(QcYhZJLKhZJUYZJUO H JU^centm NlaquoXqjOb H QR[]OOtilderegaringOgraveOumlOtilde 13ordfcentwntilde Otilde 13laquo^ JaKhZ[PKEgrave[]YJ H [bZaringQcOQZaringQVcurrenLJ H MeJU~NihdQcNPObnJUYOslash[SX H MeJ H WF[bn[]OYZQc^WVJLhZJU^ Me[]Zaring[S[PJUOeJL[]jY hZJ[]Qc[]OY QcO [Ph^eJLh H [YJ[]ZOslashJUO H H MeJZ^uMJXiacute[]fcfR[WQcO[^eJUYbnhQRK H [PhY(NihJaumlYZj[S[PJUY H JU^OaringEFG FH uuml thorn UgraveUacuteUuml yuml aacutecntildeaLuOcentUgraveUacuteUuml juuml thorn times Oslash yuml aacutecntildeaLuOcenttimes Oslash juuml thorn otilde)yuml aacutecb a2Ograve]jWMJLhZJjntildea]jQcYNOslashKEgrave[]YZQ H QVUPJordfXiacutejOb H QR[]O [SX$bLfcNPYZYEacuteograve aOtilde 13yj(NPO^kb`NOslashKEgrave[]YZQ H QUPJaumlbn[]OWVY H NPO H ^MJTbn[]ZOslashKj H N H Qc[]O[SX H MeJUPJUfR[BbLQ H mUPJUb H [PhaumlQcY^JU^jbnJU^tXiacutehZ[]Z H MeJIacutebn[]ZOslashK-j H N~VH QR[]O`[SX H MeJaelig^eJLhQVUiN H QVUPJIacute[SX H MeJtimesbnhdQ H JLhQR[]Opoundocirc7^eJUPJUfR[PKEgraveJU^ QcO G JUb^^ macr^feWMQsbMfRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[aeligJUP[]fcj H Qc[]O JjN H QR[]OOaringaelig Yacuteaagravejaelig agrave aacuteethntildeaLu centtimesOslash j ntildeaLu centUgraveUcircUacuteUuml jb ntilderaquo)aLu centtimesOslash jaaOtilde S timesOslash j cent u centtimesOslash j ntilde raquo aLu centUgraveUcircUacuteUuml jaaOtilde SUgraveUcircUacuteUumlj cent u centUgraveUacuteUuml jIcirc13eacute a2Sj

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ fMJiexclYZQcOF[]fRJiexclK-NihNSZOslashJ H JLhcopyWNtildeJOtildeOeJLJU^ H [aringNP^~ZjY H QcY H MeJUacuteYYZOslash[B[ H MQcO[timesKNihNSZOslashJ H JLhb^5OregXqNPb H e H MeJ X [W ethb MNPY H MeJiexclKhZ[PKEgraveJLh H QRJUYNtilde[SXYYZOslash[B[ H MQcOF[IacutecentEgraveJUbLNPjYJOtildeQ H ZOslash[UPJUYH MeJUacutebLjehYUPJUacuteQcO H MeJUacute^QRhZJUb H QR[]O [SX9Q H YfRJUOF[ H MregXqjOb H QR[]ONPfQa G Qs^^QBQeJ H NPfd^VeOfhShS]j^^ ^~IacuteEacuteltEgraveETHOgraveNtildeltOacute=KIgravefrac34Eacute10frac34ETH9Igrave Ntilde8182ETHEacuteshyOacuteNtildeshyEumlETHIgraveFEgraveOIacute5Icirc5O[Ph^JLh H [7JU~NPfcjN H J H MeJ QZOslashKEgrave[Ph H NPObnJ`[SX H MeJ`NP^^Q H QR[]ONPf H JLhlZaringYX[Ph H MeJYJ[]ZaringJUO H N H QR[]OeuWNtildeJpoundZaringN`PJ H MJeumlNPb H QUPJbn[]O H []jehaJUP[]fVUPJ H MehZ[]j[]M H MJ iexcla2SjeQsObLfcj^QsO[ H MeJaumlNP^^Q H QR[]ONPf H JLhlZaringY^ q O H MeJUacute[ H MeJLhMNPO^OeWNtildeJaumlNPfcYZ[ZaringN`PJQ H JUP[]fUPJfrac34WQ H M H MeJwXiacute[]fcfR[WQcO[ WhZ[]OF[JUP[]fcj H QR[]OJjN H Qc[]O H MN H ^e[JUY Oe[ HQcObLfcj^eJ H MeJaumlNP^^Q H QR[]ONPf H JLhlZaringYaringaelig Yacuteaagravejaelig agrave aacuteethntildeaLu centtimesOslash j ntildeaLu centUgraveUcircUacuteUuml j`b Qeacute iuml a2Ogravemacr]jnot [Ph H MeJOtildeJkWKEgraveJLhQZOslashJUO H YeWFJ H N`PJntildeaOgravejOcircaacute ILK KafcediliexclOgravejWMQsbM[]QVUPJUYntilde raquo aOgravejaacutefdOafcedil]j(NPO^ H MeJgUiNPfcjeJOtilde[SX H MeJaumlKNihdNSZOslashJ H JLhEacutebaQcY(YJ HH [frac34f s ^OcirckBKEgraveJLhQCZOslashJUO H Y NihZJ KEgraveJLhYX[PhZOslashJU^ []O NYmWO H MJ H Qcb`QCZaringN[PJumlZaringNP^eJeumljeK [SXTNPO

Me[]Zaring[S[PJUOeJL[]jYYYBjNihZJ[SX9QcO H JUOYZQ H mwf s []O NIacutecentNPbl`[PhZ[]jO^ [SX9QcO H JUOYZQ H mtf s ^ []NPjYZYZQsNPOOe[]QcYJUacute[SXUiNihQcNPObnJ s QcY(NP^^eJU^ H [ H MQcY(YmWO H MJ H QcbOtildeQZaringN[PJS^MeJOtildeJUP[]fcj H QR[]Oa[SX H MeJTNPb H QVUPJtimesbn[]O H []jehUacute^ehQUPJUOcentmpounda2SjQcYu[]QVUPJUO`QcO not QV[^ WMQcfRJ H MeJ[]OeJ`[Pcent H NPQcOeJU^ jYZQcO[ a2Ogravemacr]j QcYordm[]QUPJUO QcO not QV[^ ^ J bLNPO hZJZaringNihY`H MN H WMeJUO H MeJoiexclQsObLfcj^eJUY H MJ NP^^Q H QR[]ONPf H JLhZaringYe H MJ YYBjNihZJ QcYgWFJUfcfYJ[]ZaringJUO H JU^acirca not QV[^ ^bjeuWMeJLhJUNPYWiexclMeJUO H MeJ |iexclD^e[BJUY Oe[ H QsObLfcj^eJ H MeJUYJNP^^Q H QR[]ONPf H JLhZaringYwWFJ7[Pcent H NPQcO N bLQRhbLfcJOacuteQcOY H JUNP^ [SX H MeJ7JkBKEgraveJUb H JU^YYBjNihZJa not QV[^ ^bj^MeJUYJhZJUYZjf H YNtildebLNPOcentEgraveJcentEgraveJ HH JLh(jO^eJLhY H [[W^WMQcfRJNPONPfmcurrenUQcOF[ H MeJiexclUPJUfR[WbLQ H mUPJUb H [PhYUacute[SXNtildeJUNPbMJUP[]fsj H QR[]O JjN H QR[]OO^ Jaringbn[]ZOslashKNihZJ H MeJ H WF[ JUP[]fcj H QR[]OYiexcl[SXH MeJlaquoUPJUfR[WbLQ H mwUPJUb H [PhYauml^jehQcO[ H MeJaeligKhZ[PKN[]N H Qc[]Oeuml[SX H MeJOslashbLjehYUPJwa2WiexclQ H Me[]j HH MeJcentEgrave[]jO^NihYmVcent-NPYJU^ H JLhlZb j^MeJ(JUP[]fcj H Qc[]OOslash[SX H MeJNSZOslashKfsQ H j^eJ[SX H MeJyacuteUPJUfR[Wb|VQ H mregUPJUb H [Ph[SXQ|iexcla2SjFQsY[]QUPJUO QcO not Q[aqYj^ ^ ^OecurrenJSe Xfrac34]eWMQsfRJ H MeJOtildeNSZOslashK-fcQ H j^eJ[SX H MeJUPJUfR[WbLQ H mwUPJUb H [PhOtilde[SX||iexclacirca2Ogravemacr]jiexclQcY []QUPJUO`QcO not QV[aqYj^ ^ ^OecurrenJSe Xfrac34]^ JOslashbLNPO[PcentYZJLhYUPJ H MN HaringH MeJUPJUfc[BbLQ H msup1WiexclQ H Me[]j HaeligH MeJNP^^Q H QR[]ONPf H JLhlZaringY QcYaeligNbn[]OY H NPO HWMJLhZJ [PcentUWQR[]jYfVm H MJaQZaringN[PJfrac34XJUN H jehJUY ^e[OacuteO[ H NiKKEgraveJUNih^ q O H MeJabn[]O H hNihYmH MeJaumlQCZaringN[PJordfXJUN H jhZJUYuWFJUfcfNiKKEgraveJUNihQcO H MeJordfUPJUfR[WbLQ H m QcObLfcj^QcOF[ H MeJaumlNP^^Q H QR[]ONPfH JLhlZ Yya not QV[aqYj^ ^ ^OecurrenJSe Xfrac34jiexclNPO^ Y[ H MeJaumlYljNihJTbLNPO centEgraveJordfWNtildeJUfsfYJ[]ZOslashJUO H JU^O^MeJyKhZJUWQR[]jYEgravehJUYZjf H YgYMe[W H MN H Q H QcY[SXeKhQCZOslashJ$OeJUbnJUYZYZQ H m H [ H N`PJQcO H [NPb|Vbn[]jO H0H MJNP^^Q H QR[]ONPf H JLhZaringYeWbn[]ZaringQcO[XhZ[]Z hZJ[]QR[]OeV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhYeQcO[Phd^eJLh H [ hZJUNPbdMaN H hdjeJgZaringQcOQCZIacutejFZ [SX H MeJaumlbnhQ H JLhdQR[]OO^

uumlnyacutenthornnyumll13YSordmY_F

S $amp)(+-)013021+345627893lt=gt9A6CBEIumlparaacuteAgravegtmicrosup1acuteIKJcedilJT2MgtI MraquoordfAEligMgtsup32MLwMKmicrobMgtAgraveacuteIshyacuteMgtPltAtilde iquest acuteAgraveKT13MKIshyAtildeAcirclaquocedilFAtildeacuteNicircMKIJfrac14ltacutepoundAEligMAringcedilFLT2cedilIltR]acuteHcedilJLTOcircfrac12sup3T13ROgravecedilJT2MgtI JMAgraverltcedilFR]acuteacuteJacuteR]JT2MgtIicircT2ItT2NQacuteM paraacutePshyacuteIltR]acuteAtildeMQcY0K-Nih H ^eJUNPfcYWQ H M H MeJOtildeYJ[]ZOslashJUO H N H QR[]O [SXMe[]ZOslash[S[PJUOeJL[]jY(hZJ[]QR[]OYQcOZtimesjfuVH QcYZK=JUb H hdNPfQZaringN[PJUY^ YNPOaJkWNSZaringKfRJSeWFJIacuteYZMe[W H MN HiexclH MeJTbn[UiNihQcNPObnJZaringN H hQVkbLNPOacent=JIacuteNUPJLhYm KEgrave[WFJLhYXqjf H [B[]f H [ YJ[]ZOslashJUO H Me[]Zaring[S[PJUOeJL[]jYbn[]fR[PhiexclhJ[]QR[]OY^F5OXqNPb H e H MeJtimes^eJ H JLhlZaringQsONPO H [SX H MeJTbn[U~NihQsNPObnJZ N H hQkKhZ[UPJUY H [ centEgraveJIacuteNaringhJUfRJU~NPO Hbn[]fR[PhaelighZJ[]Qc[]O7M[]ZOslash[S[PJUOeJUQ H msup1ZOslashJUNPYZjhZJZOslashJUO H a G NPO[SWQcOeJ NPO^r[PhdOeJSeufhShSi]j^_`QcOQZ QVcurrenUQcO[ H MQcYjNPO H Q H m ZOslashJUNPOY H MN H WFJwWNPO HH [^eJUbnhZJUNPYJ H MeJeumlbn[]ZaeligVKfcJkWQ H m[SXUacuteNeumlhZJ[]QR[]Oa hdNmJ H NPfd^Ve sSs fampN H JUjke sSsSs j^MQcY H [B[]fuZaringNmKhdNPb H QcbLNPfcfVm cent=JaumljYJU^X[Ph XiacuteNPbnJtimes^eJ H JUb H QR[]OaQsO QZaringN[PJaumlYJBjeJUObnJUY^macr^f^laquoIgraveIcirc=KEgrave(FETHOEacuteltEgraveIcircEcircgtNtildeltIcircIgrave8 EacuteshyOacute ETH9IgraveAgrave=Eacute3+NtildeshyEgrave13NtildeshyOacute=KIgravefrac34Iacute_NtildeFETHEgraveEcirc20EacuteshyEgrave=EacuteshyEumlEacuteshyEgrave2Iacute Ntilde4ltIgraveIcircMJQcO H JUOYZQ H mxXiacute[Ph bn[]fR[Ph QCZaringN[PJUYaringQcYOslashhJLKhZJUYJUO H JU^centm7NpoundXiacutejOb H QR[]OOtildeegravearingOumlOtilde 13ordfcent ntilde Otilde 13 WMeJLhZJ Otilde aacute Otilde szligYOtildeOgravecentszligYOtilde13ordf ^iexclXm NPONPfR[S[SmAumlWQ H M H MeJOacuteY H j^Fm Xiacute[Ph[PhZJmWYZbLNPfRJFQZaringN[PJUYeWNtildeJZaringQcOQCZaringQVcurrenLJ H MeJNtilde^J H JLhlZaringQcONPO H [SX H MeJFbn[UiNihQcNPObnJcopyZaringN H hQVk[SX H MeJTbn[]OYQc^eJLhZJU^hZJ[]Qc[]OY^ J5ZaringNmaringNPYYZjFZOslashJ H MN H JUNPbdM bn[]fR[PhFhZJ[]QR[]Oacute13 QsYOcircZOslash[W^eJUfcfRJU^OslashcentmOslashNg[]NPjYYZQcNPO^QsY H hQRcentj H QR[]Oeuml[SXyacuteZOslashJUNPOiexclSegraveaacute S szligPS cent szligPS NPO^7bn[UiNihQcNPObnJZ N H hQk5^MeJKh[PcentNicentQcfcQ H maring^eJUOYQ H moXiacutejOb H QR[]O QcYu[]QUPJUO centm H MeJgXiacute[]fcfR[WQcO[aeligJkWKhZJUYZYQR[]OOaring

$ampamp aOtildejOcircaacute fa )( j +cent aq^J H ayacutejj cent JkWK- f aOtilde Sltj thorn aOtilde Sltj a2Ograve]jG [eZaringQcOQZaringQVcurrenUQcOF[ H MJbn[U~NihdQcNPObnJuZaringN H hQktimes^eJ H JLhlZaringQcONPO H [SX-NPOtimesJUP[]fVUWQcO[hJ[]QR[]ONiKKEgraveJUNihY H [OslashcentEgraveJNtimeshZJUfcJU~NPO HH [[]f H [ordmZaringN`PJ H MQcYFhZJ[]Qc[]O bn[]OUPJLhY[PJ H [WFNih^Y H MeJbLfR[]YZJUY H Me[]ZOslash[S[PJUOeJL[]jYbn[]fR[PhiexclhZJ[]QR[]OO^9J H jY$Oe[ H J timesOslash NPO^0copyUgraveUcircUacuteUuml H MJbn[UiNihQcNPObnJ5ZaringN H hQcbnJUYy[SX=hJUYKEgraveJUb H QVUPJUfVmordmOuml timesOslash aagravejNPO^tOuml UgraveUacuteUuml aagravejaring

atilde aacute213 u Patilde u centatilde u atildeu cent atilde u centcentatilde u cent4atildeu5 atilde u5centatilde u54atilde67 a2zSj

WMJLhZJSaringEFFG FFH u times aumlatilde aacute iacutefaring w aring thorn yuml aOtilde times S times atilde jaOtilde auml S auml atilde j atilde aumlS times atilde aacute iacutefaring w aring thorn yuml Otilde times a2atildeltszligaumlj atilde auml WQ H M aacuteiVIgraveOacute[Ph Kf5

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ J [PcentUWQR[]jYZfm`MNUPJacuteu times aumlatilde aacuteu auml timesatilde ^shy9J H jYaumlO[ H J ^eJ H a atilde j H MJ ^eJ H JLhlZaringQsONPO H [SXH MeJaumlbn[U~NihdQcNPObnJZ N H hQkWiexclMQcbMJkBKhJUYZYZQR[]O QcY H MJgX[]fsfR[WQsO[aring

^eJ H a atilde jumlaacute u Patilde u centcentatilde u 4atilde u centatilde u atilde u cent4atilde u Patilde u cent4atilde u cent4atilde u centcentatilde u atilde u atilde u 4atilde u centatilde u centatilde a2Ogravei]jnot jOb H QR[]OY [SX H MeJeumlbn[UiNihQcNPObnJpoundZaringN H hQk ^eJ H JLhZaringQcONPO H YNihZJ jYJU^ NPY hJ[]QR[]O^eJUYbnhQRK H [PhY^ JIacutebMe[B[]YJ H MJordfX[]fcfc[WQcOF[aeligYZJ H [SX$^eJUYZbnhQRK H [PhYaringEFG FH uuml thorn UgraveUcircUacuteUuml yuml aacute98ordfaq^eJ H acopyUgraveUcircUacuteUumlAjjuuml thorn timesOslash yuml aacute98ordfaq^eJ H a timesOslash jjuuml thorn otilde)yuml aacuteOslashb a2Ograveh]jWMJLhZJ8ordfaOgravejFQcYNOslashKEgrave[]YZQ H QVUPJiexclXiacutejOb H QR[]O [SXampbLfcNPYZYograve aOtilde 13yjFNPO^Cb`NOslashKEgrave[]YZQ H QVUPJOtildebn[]OWVY H NPO H ^gJ H jYNtildeOe[W WhQ H J H MeJJUP[]fcj H Qc[]OaringJBjN H QR[]O [SX H MeJiexclNPb H QUPJbn[]O H []jehcentmbn[]ZOslashK-j H QcO[ H MJIacute^QEgraveJLhZJUO HH JLhlZaringYiexcl[SX_a j^J H NPQcfcYiexcl[SX H MeJIacutebn[]ZaringKj H N H QR[]O bLNPOcentEgraveJgXiacute[]jO^QsOaNiKKEgraveJUO^QVk X5^gtMJaumlJUP[]fcj H QR[]O`JBjN H QR[]O[SX H MJIacuteNPb H QVUPJaeligbn[]O H []jhQcY H MJgX[]fsfR[WQsO[aringaelig Yacuteaagravejaelig agrave aacute8gaq^eJ H atimesOslashjj 8ordfaq^eJ H a UgraveUcircUacuteUuml jj`b admacr s jlt8Icircraquodaq^eJ H a times Oslash jgt= ccedil A B egrave aOtilde S timesOslash jaOtilde B5 S BtimesOslash jB^eJ H aDC EBtimesOslash ja fj BGFH amp^eJ H atimesOslashj48 raquo aq^eJ H atimesOslashjj 8Icircraquodaq^eJ H a UgraveUacuteUuml jgt= ccedil I B egrave aOtilde Eacute S UgraveUcircUacuteUuml jaOtilde B S BUgraveUcircUacuteUuml jB^eJ H aDC JBUgraveUacuteUuml ja fj BKFH amp^eJ H a UgraveUcircUacuteUuml j48 raquo aq^eJ H a UgraveUcircUacuteUuml jjcedil13eacuteMJZaringN H hdQkLC JBatilde QsY ^JU^jbnJU^icircXh[]Z H MJeumlbn[U~NihdQcNPObnJbZaringN H hdQkM atilde centm YZjeKeVKhJUYZYZQcO[ H MeJ uuml UumlON hZ[WENPO^ H MeJ I UumlON bn[]fcjFZaringO^MeJeumlfcNPY H Xiacute[]jeh fsQcOeJUY [SX H MeJJBjN H QR[]ONihZJ H MeJOtildeNP^^Q H QR[]ONPf H JLhZaringY(bn[]ZaringQcO[XiacutehZ[]Z H MeJiexclU~NihQsN H QR[]O [SX H MeJOtilde^eJnVYZbnhdQRK H [PhYWiexclQ H Mordmagrave^ Y0Q H MNPYycentEgraveJLJUOOslashKhJUBQR[]jYZfVmTKhZ[UPJU^X[Ph[PhZJmWYZbLNPfRJiexclQCZaringN[PJUYeH MeJUYZJ H JLhlZaringYMNUPJ H [ cent=Jaumlbn[]OYZQc^eJLhZJU^ QsO[Ph^eJLh H [regZ N`PJ H MeJTNPb H QUPJTbn[]O H []jhbn[]OUPJLhY[PJ H [WFNihd^YNZ QcOQZtimesjFZ [SX H MJTbnhQ H JLhQc[]OO^macr^ ^~THORNUgrave2FIgraveFEgrave2Iacute_IgraveFOacuteshyETHOgraveNtildeshyEumlEgraveOIgraveIcircdEumlETHOIcircnot [Ph H MJ JkWKEgraveJLhQZOslashJUO H YeQWNtildeJ H N`PJCntildea]jordmaacute ILK Kaf[]jgWMQsbMsup1[]QVUPJUYnntilde raquo aOgravejaacutefdOafWOgravej(NPO^8ordfaOgravejaacute ILK KafIcirch cent juWMQcbdMt[]QVUPJUY8 raquo aOgravejaacute ETHOafIcirch cent j^ JbdMe[[]YZJ bbaacute f s ^QMeJaringbn[]fR[PhtimesYKNPbnJ YJUfcJUb H JU^QcYaQPszlig l szligicirclaquojeltWMeJLhZJwaOtilde aacuteRPordmjhZJLKhZJUYJUO H Y H MeJfsjFZaringQcONPObnJNPO^waOtildeOgravecent5aacute l j$NPO^frac34aOtildeS aacuteOslashicircj$hZJLKhZJUYJUO HyH MeJ H WF[bdMehZ[]ZaringQcONPObnJUY^ not [Ph H MeJbn[]ZaringKj H N H QR[]OOslash[SX H MeJuUiNihQcNPObnJSei[]Ofm H MeJfcjZaringQcONPObnJQcY(jYJU^O^

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CB5Oaring[Phd^eJLh H [aeligYJ[]ZOslashJUO H NPO Me[]ZOslash[S[PJUOJL[]jY0hJ[]QR[]OOeOgraveWFJiexclY H Nih H WQ H M NPO QcOQ H QcNPf

bLjehlUPJ0QcOYZQs^eJ H MJ0hZJ[]QR[]Oauml[SXWQsO H JLhZJUY H ^MeJybLjhYUPJ0QcY H MJUOTYZjeKK=[]YZJU^ H [JkWKNPO^jO H Qcf(Q H hJUNPbMeJUY H MeJ centEgrave[]jO^NihlmOacute[SX H MeJabn[]ObnJLhdOeJU^ Me[]Zaring[S[PJUOeJL[]jYaringhJ[]QR[]OO^MJtimesbLjehlUPJtimes^e[BJUYUacuteOe[ H [P[cent=JmP[]O^ H MJUYJaeligcent=[]jO^NihQRJUYiexclYZQcObnJSe=[UPJLh H MeJLhZJSe H MeJbnhQ H JLhQR[]OOacuteQsObnhZJUNPYJUYtimescentEgraveJUbLNPjYJ H MeJU~NihdQcNPObnJOcircu centtimesOslash [Ph H MeJ bn[U~NihdQcNPObnJtZaringN H hQVk^eJ H JLhZaringQcONPO H ^eJ H atimesOslashjUcirccentOtildeQsObnhZJUNPYJS^MeJaringNPfV[P[PhQ H MZEcentNPYJU^[]O H MeJ bn[UiNihQcNPObnJZaringN H hQVkeumlQcYaumlK=JLhlX[PhlZaringJU^euml[]ONPOQZ N[PJ [SX H MeJUBQs^eJL[`YJBjeJUObnJrnN`WQVmP[]peumlQcO[Ph^JLh H [euml^eJ H JUb HaeligH MeJYKEgraveJUN`PJLhUTYXqNPbnJS^gtMJaumlJUP[]fcj H QR[]O[SX H MJIacutebLjehYUPJIacuteQcYu[]QVUPJUO QcO not QV[^ macr^gtMeJTbn[]O H []jehiexclJUP[]fUPJUYH [ONPfcfVmbn[]OUPJLhY[PJaelig[]O H MeJIacutecent=[]jO^NihQRJUY[SX H MJyXqNPbnJa not QV[^ macr^bj^OMeJyXiacuteNPbnJaeligQcYH MeJUONPbLbLjehdN H JUfVm YZJ[]ZOslashJUO H JU^^FMeJUacuteNSZOslashKfcQ H j^eJ[SX H MeJiexclUPJUfR[BbLQ H m QsYFNPfsY[laquo[]QVUPJUOQcO not QV[aqYj^ macr^ ^OecurrenJSe Xfrac34jNPO^WNtildeJUacutebLNPO [PcentYJLhYUPJ H MN HFH MeJ5XiacuteNPbnJUacutehZJ[]QR[]O QcYUPJLhYmWFJUfcf^eJUfsQZaringQ H JU^regXhZ[]Z H MJ[ H MJLhhZJ[]QR[]OY^MJ5UPJUfc[BbLQ H m[]QUPJUO QcO not QV[aqYj^ macr^ ^OecurrenJSe XQcObLfcj^eJUY H MeJNP^^Q H Qc[]ONPf H JLhlZaringYFbn[]ZaringQcOF[yXiacutehZ[]Z H MeJ5UiNihQcN H QR[]O [SX H MeJiexcl^eJUYbnhQRKeVH [PhY5WQ H Magrave`centj H ^e[BJUYOtildeOe[ H QcObLfcj^eJ H MeJaeligcentEgrave[]jO^NihlmVcentNPYZJU^ H JLhlZ WMQcbMeumlQcYUacuteNYYZaring[[ H MQsO[ H JLhlZ^KMeJtimesNSZOslashKfcQ H j^eJOtilde[SX H MeJyUPJUfc[BbLQ H maQcYiexclOe[PhlZaringNPfcQcurrenLJU^ centEgraveJ H WFJLJUOs NPO^ macrSmacre$YZjbdM H MN HTH MeJ OeJ[]N H QVUPJoU~NPfcjJUYIacuteNihZJ fR[WFJLh H MNPO f i`NPO^ H MeJKEgrave[]YZQ H QUPJ[]OJUYNihZJTMQ[]MeJLh H MNPOpoundf i^ J bLNPObn[]ZaringKNihZJ H MJ QcOQ H QsNPfUPJUfR[BbLQ H m[Pcent H NPQcOJU^jYZQcOF[ H MeJ bn[U~NihQsNPObnJZaringN H hdQk admacr s juWQ H M H MeJOtilde[]OeJOtilde[Pcent H NPQcOeJU^jYQcO[ H MeJordfUiNihQcNPObnJrega2Sj^KMeJordfXqNPbnJTQcYOe[ H WNtildeJUfsf9^eJ H JUb H JU^QcO H MeJUPJUfR[BbLQ H m[Pcent H NPQsOeJU^ajYQcO[ H MeJUiNihQcNPObnJa not Q[^ ^bjWMJLhZJUNPYIacuteQ H QcYIacutehZJUNPfcfmumlWNtildeJUfcfF^eJ H JUb H JU^QsO H MeJQcOQ H QcNPfUPJUfR[WbLQ H m7jYZQcOF[ H MeJbn[iVUiNihQcNPObnJpoundZ N H hQk a not QV[^ ^currencentj^_MeJ UPJUfR[WbLQ H m [Pcent H NPQcOeJU^ jYZQsO[ H MeJumlU~NihdQcNPObnJ^e[BJUYOe[ H NPfsfR[W NPOJltz bLQRJUO H YJ[]ZOslashJUO H N H QR[]O`[SX H MeJyXiacuteNPbnJauml[]O H MeJaumlbn[]O H hNihYm H [H MeJIacutebn[UiNihQcNPObnJlaquoZaringN H hQk^eJ H JLhZaringQcONPO H WMQsbM H N`PJUYUacuteNP^UiNPO H N[PJaelig[SX H MeJtimesbn[]fR[PhQcOFX[PhlZ N H QR[]OO^macr^ ^WVFEumlETH=gtNtildeFETH32EacuteltOacuterETHEacute`0Ntilde=KIgravek8ltIgraveFETHIgrave5=KETH32EacuteltOacute~2Oacute+(8ltIgraveEacute IcircIgrave5euml1IgraveFOacute=KIgraveIcircMJa^eJUYZbnhQcK H [PhYOslashcentNPYZJU^[]O H MJ`bn[UiNihQcNPObnJZaringN H hdQkNihJ`QZOslashK-fRJZOslashJUO H JU^ H [^eJ H JUb H MBjFZaringNPO XqNPbnJUYQcO UWQc^eJL[OacuteYJBjeJUObnJUY^MQsYaring^eJ H JUb H QR[]OegraveZaringNm cent=J`jYJU^Xiacute[PhtUWQc^eJL[ bn[B^QcO[ H [JUObn[W^eJYJUfcJUb H QVUPJUfVm H MeJOacuteMBjFZaringNPOegraveXqNPbnJS^ not [Ph`N []QVUPJUObn[]ZOslashKhZJUYZYZQR[]OOacutehN H QR[e H MeJoXiacuteNPbnJbLNPO7cent=J H hNPOYYZ Q HH JU^bWiexclQ H MN MQV[]MJLhThN H J H [H MeJ^eJ H hdQZOslashJUO H [SX H MeJcentNPbl`[Ph[]jO^O^uMQsY QsO H JLhZJUY H QcO[KhZ[PKEgraveJLh H m QcYUiNPfcjWVNicentfcJuX[PhUBQc^JL[Bbn[]OXiacuteJLhZJUObnJUYe]WMeJLhZJ H MeJ ZOslash[]Y H QZOslashKEgrave[Ph H NPO H NPO^regZOslash[]Y H U~NihdQcNicentfRJQcOFX[PhlZ N H QR[]OQcYfR[WbLN H JU^ []O H MJordfXiacuteNPbnJaq 5ZOslash[]Oe[]j`NPO^tUacutejMNSZaringJUfde sSsSs j^ J QcOQ H QcNPfcQVcurrenLJ H MJhdY H XiacutehNSZOslashJoWQ H M7N`bLQchbLfRJ QsOYZQc^eJ H MeJXqNPbnJ H [ H hNPbY`K^MJUOOeyacuteWFJsup1ZaringN`PJ H MeJNPb H QVUPJ7bn[]O H []jeheumlJUP[]fVUPJjYZQcOF[admacr s jeiexclWQ H MX8ordfaOgravejxaacuteILK KafUgravemiddot cent j^ltMeJregONPfybn[]O H []jehtimes[SX H MeJ bLjehZhJUO H QZaringN[PJ QcY H MeJUOOacutebdMe[]YJUO7NPYNPO QcOQ H QcNPfbLjhYUPJordfX[Ph H MJUacuteOJk H QZaringN[PJS^FMeJOtildeNPfV[P[PhQ H MFZMNPYcentEgraveJLJUOKEgraveJLhYXiacute[PhlZOslashJU^[]OYJUPJLhdNPf$YJjJUObnJUY^MeJaelighZJUYjf H Y5X[Ph H MJaeligYZJjeJUObnJpoundn5JLhQV`p NihJordm[]QVUPJUOQcOnot QV[^ethz^shyMeJaringKNihNSZaringJ H hZJ bMNPYaumlcentEgraveJLJUOYZJ HaumlH [sup1f s ^QMeJordmXqNPbnJ QcYordfWFJUfcfy^J H JUb H JU^NPO^ H hNPbY`PJU^times[]O H MJ|WMe[]fcJyYJjJUObnJS^MJyhZJUYZjf H YOX[Ph H MeJNtildeYZJjeJUObnJnN`WQVmP[]p

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ macrNihZJy[]QVUPJUO`QsO not QV[^ i^ JaeligbMe[B[]YJbaacute s ^ JtimesbLNPO`YJLJ H MN HH MeJXiacuteNPbnJaeligQcYuWFJUfcf^eJ H JUb H JU^aJUPJUOaQVX H MeJaumlbn[]fR[Phiexcl[SXMJLhYZMQRh H QsY(bLfR[]YJ H [ H MJgXiacuteNPbnJIacutebn[]fR[Ph^

YOEAEligMgtIltROgravesup3PshyAtildeT13MKI5O H MQcYKNiKEgraveJLheuWNtildeJKhZ[PKEgrave[]YJN OeJW 0jfRJLhQcNPOAumlZaringQsOQZaringQVcurrenUN H Qc[]OAumlZOslashJ H Me[W^ H [bn[]ZOslashK-j H J H MJUPJUfR[WbLQ H mpoundUPJUb H [Pharing[SXNPONPb H QVUPJ bn[]O H []jeh H MN H JUOYZjehZJUYtimesQ H WQcfcfJUP[]fVUPJ NPYordfXiacuteNPY H NPYOtildeKEgrave[]YZYZQRcentfcJ H [WNih^YIacuteNZaringQcOQCZIacutejFZ [SXN bnhQ H JLhQR[]OeumlQcObLfcj^QcOF[centEgrave[ H MUacutehZJ[]QR[]OeVcentNPYJU^TNPO^OtildecentEgrave[]jO^NihYmVcentNPYJU^ H JLhlZ Y^ q jehgNiKKhZ[]NPbMIacuteQcYcentNPYZJU^Otilde[]OYZMNiK=J[PK H QZaringQVcurrenUN H Qc[]OOslashKhQcObLQRKfRJUY$NPO^ QcYyKEgraveJLhYXiacute[PhlZOslashJU^ QcO H MehZJLJ5ZaringNPQcO Y H JLKYaringf^ltO H hZ[W^jb H QR[]O[SX$NOslash^mWONSZaringQcbLNPfYbMeJZOslashJIacuteQcO H MeJTbnhQ H JLhQR[]OOe ^vF[]ZOslashKj H N H Qc[]Oaelig[SX H MeJ_0jfRJLhdQcNPOaelig^eJLhQVUiN H QVUPJ[SX H MJbnhQ H JLhQR[]OOslashjYZQcO[OtildeYZMNiKEgraveJ

[PK H QZaringQVcurrenUN H Qc[]O H [[]fcYe^vF[]ZOslashKj H N H Qc[]Oa[SX H MeJtimesJUP[]fcj H Qc[]OaJBjN H QR[]O`[SX H MeJaeligNPb H QVUPJtimesbn[]O H []jehiexclXiacutehZ[]ZH MeJT^eJLhQU~N H QVUPJS^

iexcl Ntilde _ cent G NPfcfR[WY H [hJUNP^QcfVm H N`PJNtildeQcO H [NPbLbn[]jO H9H MeJybLNPYJ0[SXBhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H^eJUYbnhQRK H [PhY H MN H NihZJo[]fR[PcentNPfcfVmN HH NPbdMeJU^ H [ H MeJ JUP[]fVUWQcO[ hZJ[]QR[]OYtimesNPO^Y[H MN H UiNihYm^jehQsO[ H MJaumlKhZ[PKN[]N H Qc[]O [SX H MJaumlbLjehYUPJS^ JTYMe[W H MN HH MeJgUiNihQuVN H QR[]O [SX H MeJUYJ^JUYZbnhQRK H [PhdY QsO^jbnJUYNP^^Q H QR[]ONPf H JLhlZaringYQcO H MeJeumlJUP[]fcj H QR[]OJBjN H QR[]Oeuml[SX H MeJaringNPb H QVUPJ bn[]O H []jeh^MJUYJ H JLhlZaringYgZtimesjY H Oe[ H centEgraveJlaquoX[Phl[P[ HH JUOQcO[Ph^JLh H [ hZJUNPbMeumlN H hjeJZ QcOQZtimesjFZ[SX H MeJtimesbnhQ H JLhQc[]OaNPYUacuteQ H MNPYcentEgraveJLJUOKEgrave[]QcO H JU^[]j H QsOJkBKEgraveJLhQZaringJUO H NPfEgravehZJUYjf H Y^

Yfrac34XiacuteNiheumlNPYeumlMe[]ZOslash[S[PJUOeJL[]jYeumlbn[]fR[PheumlhZJ[]Qc[]OY`YZJ[]ZOslashJUO H N H Qc[]OQsY`bn[]ObnJLhdOeJU^OeWFJKhZ[PKEgrave[]YJ H MeJ`bn[U~NihQsNPObnJfrac34ZaringN H hdQk^eJ H JLhlZaringQcONPO H NPY N^eJUYbnhQRK H [Ph^MQcYY H N H QsY H QcbLNPfhZJ[]QR[]OeV4^eJLKEgraveJUO^eJUO H ^JUYZbnhQRK H [PharingNiKK=JUNihdY H [centEgraveJN UPJLhlm7hJUfRJU~NPO HH [B[]fampNPO^eumlY[ Q H MNPYUacutecent=JLJUOeumlYZjbLbnJUYZYXqjfcfVm NiKKfsQRJU^ H [XqNPbnJaring^eJ H JUb H QR[]OQcOfrac34UWQc^eJL[YJBjeJUObnJUY^

iquest acuteraquoacuteLacuteIltR]acuteAtildeagraveIgravefrac14dEcircsup1Atilde5AringiquestLmiddotNtildeIumliquestUumlgIumlUTHORNampAtildeEacutecedilAtilde5AringAcircnAtilde|iquestaacuteIacuteIumlIZEgravefrac14Zcedilfrac12frac14dAringiEcirc]iquestfrac14draquoiEcirc[NtildeIumlagraveAringEacutePAtildecedilwAacute4] uacute_^J^J^ iquest)` igraveraquoLCcedilfrac14cedil4Ecircfrac14draquo~Ecirc(Auml|AringAacuteCcedilfrac14Zcedil4Ecirc

Agrave5AringcedilAcircnAtilde$AtildeAcircnAuml|frac12AringAacutesup1AumldraquoTAringAEligwsup1raquo~ordm(frac12Atilde5AcircnAtilde5frac12AEligwAtildeAacuteampIgrave(Atilde AacuteIcirc~AumlUEcircSaIumligraveraquo13] x4~rv p4PldrRtcoPl|Egraveod5v pv i4vodaumlx4shyl not vsectpqo v tu not Iumlcb$Auml|EacutePAtilde|iquestednfrac14Oumlifrac14draquoIuml

agraveIgrave(Aumldraquo~Auml|Aringiquest~igrave4IumlPfrac14raquoiEcircfWIumliTHORNampAringIcircifrac14Igrave(Atilde5frac12G] divideugrave|ugrave|ugrave iquest` igraveAacuteAtildecedil4frac14ZAacutesup1Acirc|AtildeNtildeEacute~frac14dAgrave4UgraveUCcedilEgravefrac14cedil4EcircUacuteAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoUacuteOgraveregAumldcedilIcirc~sup1Atildecedil4frac14cedilAgrave4Icirc~sup1currenEumlAgravefrac14dfrac12=CcedilEgravefrac14AcircnAtilde5frac12AtildeAacutesup1Igravefrac14ordm|AtildeAgrave5AumlUEcircsup1raquo~ordmIaIumlaeligigraveiacuteraquoS] x4rv p ildrRtcodil|ampod5v pv P4vOtildeodOslashx4shy(l not vFsectpqo v tu not Iumlg frac14raquo~Agrave5AumldAring~AcircnAtildecediliquestehEgravefrac14raquoifrac14|Ecircfrac14Iuml

agraveAringEacutePAtildecedilwAacuteiquest[NtildeIumlWfrac14raquoiEcircifWIuml13b$Aumldcedilraquo~OumlcedilAuml|EacuteAEligqAacute4] divideugrave|ugraveuacute iquestkj ldrregv shy(ldrRtcl|ipwonm5v shyNtildetuOslashtushyl not vampipwo4v tu not sect9ldp4rRtcl|Egravedt lv pv ~rRtRl|9vDm~lrRtcod~ldiTrreg~vUacutel| Uiexcloqnldp4tcldrRtRod~ iquestpoAumlIuml uacute_qEr IumlOslashagrave9Ouml~Oumlfrac12sup1AtildeEcircaacuteUacutefrac14AacuteIcirc~AtildeIgravefrac14Aacutesup1Agravefrac14dfrac12BatildeAgravesup1Atilderaquo~Agrave5Atilde5AElig5iquestPatildeOumlcedilsup1raquoordm|Atildecedil g Atildecedilfrac12frac14dordmIumlhEgravefrac14dAEligwAtilde5frac12frac12Atilde5AElig5iquest g Iumliquest~szlig0Iumleb$sup1Igrave(Igrave(Atilde5frac12Riquestifrac14raquoiEcirc[NtildeIumlatildefrac14dOumlsup1cedilAumlI] uacute_^J^Er iquest`s[Atilde5AumlUEcircAtilde5AEligwsup1AgraveFfrac14dAgraveAacutesup1AcircnAtildeyAgrave5AumldraquoUAacuteAumldAringcedilAElig_aIuml x4~rv p4PldrRtcodPldpoundUodUp4Pl|WoqodshyiUrv paumlumltutcodutet13v uacute+w iquestex uacuteyIrz^ Iuml

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CBh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34LiquestBagraveyIumlWfrac14raquoiEcircidIumlBTHORNampAringraquo~Agravefrac14raquo13] uacute4^z^J^ iquest`[ampfrac14Igrave(AtildeEumlcAacuteIcirc~Atilde5AumlcedilAtildeAacutesup1Agrave(sup1raquoUAacuteAtildeordmdcedil4frac14Aacutesup1AumldraquoaeligOgraveuAumldcedil0sup1Igravefrac14dordmdAtildeAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIuml xQ|||~pwl~ lnrRtcodNtildeodiexclsect9lrRrv p auml9Pl| ~tuyldi j l|4Utu]vx4~rvreg t not v P4v Iumlh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34Liquestgagrave0IumliquestIumlgatildeUAacute4frac14dsup1Eacuteiquest9frac14draquoiEcircdIuml9THORNampAringraquo~Agravefrac14raquo13] uacute_^J^ xiquest` THORNampAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeIacuteEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34iraquo~Ecircsup1raquo~ordmsup1raquoIgrave(AtildeEcircsup1Agravefrac14frac12iexclsup1Igravefrac14ordm|Atilde5AEligaringEacuteLfrac34Oacutesup1raquoLAacuteAtilde5ordmcedil4frac14Aacutesup1raquo~ordm ordmdcedil4frac14|Ecircsup1Atilde5raquoLAacute frac14raquoiEcirccedilAtilde5ordm|sup1Auml|raquo sup1raquoOgraveuAumldcedilIgravefrac14ZAacutesup1Auml|raquo13aIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu notI iquesteE ^4y rdugrave Iumlh=Icircifrac14raquoiquestBETHIumlWfrac14raquoiEcircIuml g Atilde5AEligwAtildeJ] dividedugravedugraveuacute iquest` agraveAgraveAacutesup1AcircnAtildeFAgrave5Auml|raquoLAacuteAuml|AringcedilAElig$Ccedilgsup1AacuteIcircAuml|AringAacuteNtildeAtilde5Ecircordm|AtildeAElig_aIuml xQ||k|~pwld lnrRtcododUacutex4shy(l not v9sectpqo4v 4tu notuU v divideJw iquest divide xJx ydividezrJr Iumlh=Icirc~Atilde5AEligwraquo~frac14dAring~EcirciquesthIumliquestfWIuml=szligAtildeOgraveYacutecedilIAtilde5ordm|sup1Atildecediliquestfrac14draquoiEcirc g Iuml5Z=AumldAring~frac12AtildeAacute4] uacute_^J^z^ iquest`currenatildeUAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12cedilAtilde5ordmdsup1AumldraquoAEligwraquoifrac14dUgrave|AtildeEumlsEacuteifrac14dAEligwAtilde5EcircAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquofrac14|Ecircfrac14dOumlAacuteAtilde5EcircFAacuteAumlyEcircsup1s]AtildecedilAtilde5raquoLAacute-Ouml~IcircLfrac34AEligwsup1Agrave5frac14dfrac12~raquoAuml|sup1AEligwAtilde9Igrave(AumlUEcircAtilde5frac12AElig_aIuml xQ||k|~pqld~ lnrRtco~$osect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4vt iquest uacute|uacute_q y~uacute|uacute xIumlh=Auml|IcircAtilde5raquoiquestIuml] uacute4^z^uacute iquest`currenmiddotraquofrac14dAgrave Aacutesup1Acirc|Atilde Agrave5AumldraquoLAacuteAuml|AringcedilIacuteIgrave(AumlUEcircAtildefrac12AEligtimesfrac14draquo~EcirceumlEacuteifrac14dfrac12frac12AumlLAuml|raquoAElig_aIuml odshyiUrv pumltutcod pwl Utc0ldix4shyl not vsectEgravepwo4v tu not x4shyl not vOtildePnv p rsldidtu not) iquest divideUuacuteduacuteydivideLuacute UIumlh=Auml|IcircAtilde5raquoiquestSIumliquestUumlIuml13ZEgravefrac14cedil4Ecircsup1raquo~AtildeAacuteiquestfrac14raquoiEcircoNtildeIumlagrave9frac34Lfrac14dAgrave4Icirc~AtildeJ] uacute_^J^z iquest`atildeUAringcedilwOgraveufrac14dAgrave5Atilde0cedilAtilde5Agrave5Auml|raquoAEligqAacutewcedilAring~AgraveAacutesup1AumldraquotimesAring~AEligwsup1raquoordmfrac14AgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilaumlIgrave(AumlUEcircAtilde5frac12AElig_aIuml igraveiacuteraquoS] Lsect=xQ|od5v pv P4v od vwodshy(v rRp tc j v rregodtimestuodshyiUrv pumltutco Iuml~atildefrac14raquoUacuteTHORNampsup1Atilde5ordm|AumliquesthEgraveagraveyIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquestEgraveUumlIuml] dividedugrave|ugravedugrave iquest`currenatildeAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquo Ouml~frac14cedilAgrave5Auml|raquoLAacuteAuml|AringcedilAEligUacutefrac14AgraveAacutesup1currenOgraveuAEligUacuteAtilde5raquosup1Igravefrac14dordmdAtildecedilsup1AtildeIacuteIgraveAtilde5Ecircsup1Agravefrac14dfrac12AtildeIacuteEcircfrac34UEumlraquoifrac14dIgrave(sup1ecircLAring~Atilde]ampfrac14Ouml~Ouml~frac12sup1Agravefrac14ZAacutesup1AumldraquoAtilde5raquoeumlAgravefrac14Zcedil4Ecircsup1Auml|frac12Auml|ordmdsup1Atilde raquoUAring~Agravefrac12Atilde5frac14dsup1currencedilAtildeJaIumlfIcircIuml THORNFIumlAacuteIcirc~Atilde5AEligwsup1AElig5iquestraquo~sup1AcircnAtildecedilAEligwsup1currenAacutefrac34`AumlOgraveosup1Agrave5AtildeEumliacuteatildeAumldOuml~Icircsup1Yacutefrac14NtildeagraveraquoLAacutesup1OumlPAuml|frac12sup1AElig5iquestPeacutecedil4frac14raquo~Agrave5AtildedIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquest|UumlIumliquestUaacuteIacuteIumlEZEgravefrac14cedilfrac12frac14dAring~Ecirciquest[NtildeIumlLagraveAringEacutePAtildecedilwAacuteiquest|frac14draquoiEcirc dIumlnTHORN$frac14ZcedilAgrave5Auml|AringcedilwAacute4] divideugrave|ugraveUuacute iqueste`currenatildeOuml~frac14dAgrave5AtildeEgraveAacutesup1Igrave(AtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14EumlAacutesup1AumldraquoUacuteAring~AEligwsup1raquoordmfrac12Atilde5AcircnAtilde5frac12AEligwAtildeAacutefrac14dAgraveAacutesup1AcircnAtilde$AgraveAuml|raquoLAacuteAuml|AringcedilAEligfrac14Ouml~Ouml~frac12sup1AtildeEcirciexclAacuteAumlFIgraveNtildefrac34LAumlLAgravefrac14Zcedil4Ecircsup1frac14dfrac12ordmnfrac14ZAacuteAtildeEcircOtildeatildeIf-UumlkhEgraveETHaIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu not t v rJw iquest)x qJ+y xJ ^ Iuml

THORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquest13iexclNtildeIumlfrac14draquo~EcircdIumlWaacuteAuml|raquoLAacute4frac14ordm|raquoifrac14ZAacute4] divideugrave|ugraveUuacute iquest` ETHBAumldOumlPAuml|frac12Auml|ordmfrac34Oslashfrac14raquoiEcircIacuteAEligwIcirc~frac14dOumlPAtildeAgraveAuml|raquo~AEligqAacutewcedil4frac14sup1raquoUAacuteAEligyAumldraquotimesOumlifrac14Zcedil4frac14EumlIgrave(AtildeAacutewcedilsup1AgraveOslashfrac14dAgraveAacutesup1AcircnAtildearingAgrave5AumldraquoLAacuteAuml|AringcedilAElig_aIuml odshy~rv pumltutcodldP x4shy(l not vPLv p4rsldPtu notcent) v divideJw iquestuacute_qnugrave4yiuacute4rUuacute Iuml[Auml|Igrave(Atilde5AElig5iquestpounddIumlfrac14draquo~EcircaringmiddotNtildeIumleacuteifrac14Aring~ordm|Atilde cedil4frac14dAElig_] divideugrave|ugrave|ugrave iquestcurren` szlig9Atilde5Agrave5Aumldraquo~Agrave5sup1frac12sup1raquo~ordmIacuteEcircsup1AEligqAacute4frac14draquoAgrave5AtildeOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligfrac14draquo~Ecircaeligfrac12Atilde5AcircnAtilde5frac12EgraveAEligwAtilde AacuteAElig_aIumlpoundUodUp il|WoqUacuteumltul|-odshyNtildeshyFU~tR4lrRtcodTldix4shyl not vampgvipv v rsldrRtcod ) iquest dividedugravez^+ydivideddividez Iuml[cedil4frac145frac34LiquestszligyIumliquestdIumlyen-Auml|Aringraquo~ordmiquestampfrac14raquoiEcircagrave0Iumlampagravesup1currenfrac34LAtildecedil4] dividedugravedugraveuacute iquest `aacutesup1raquosup1IgraveNtildeAring~Igrave Ecircsup1AEligwAgrave cedilsup1Igrave(sup1raquo~frac14Aacutesup1Auml|raquosup1raquoOgraveregAumldcedilIgravefrac14Aacutesup1AumldraquoAgrave5frac12Aring~AEligqAacuteAtildecedilsup1raquo~ordmI]Igrave(AumlUEcircAtilde5frac12sup1raquo~ordmTfrac14raquoiEcircOslashecircLAringifrac14raquoUAacutesup1Ocircfrac14ZAacutesup1Auml|raquoOslashCcedilgsup1currenAacuteIcirc ordm|frac14dAringAEligwAEligIgrave(sup1currenicircAacuteAringcedilAtilde5AElig_aIumlTigraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquest=atildePIumliquest=aacuteIacuteIumlkZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestEgravefrac14raquoiEcirc[NtildeIuml=agrave9Aring~EacutePAtildecedilwAacute4] dividedugrave|ugraveUuacute frac14Uiquest` agrave EumliacuteatildeUAacuteAtilde5Ouml frac14dfrac12ordm|Aumlcedilsup1currenAacuteIcirc~IgraveAring~AEligwsup1raquoordmcedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtilde=Agrave5Auml|raquoLAacuteAuml|AringcedilAEligeOgraveuAumldcedilAcircUsup1EcircAtilde5AumlAuml|EacuteUbrvbarqAtilde5Agrave AacuteAElig=EcircAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoSaIuml~igraveraquo13]psect xw j x4 sect odpDumlqo odUacutex4shy(l not v9Pl| ~tu5op j rRtushyvwdtclNtildex4rv pwlnrRtKndvy]v pntc4v IumliETHWfrac14dIgrave(OumlPAtilde cedilAtilde|iquestieacuteWsup1raquofrac12Yacutefrac14raquoiEcirc]Iumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquestUatilde]IumliquestUaacuteIacuteIumlUZ=frac14cedilfrac12frac14dAring~EcirciquestUfrac14raquoiEcirccopy[NtildeIumlUagrave9Aring~EacutePAtildecedilwAacute4] dividedugravedugraveuacute EacuteiquestA` szlig9Atilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14AgraveAacutesup1AcircnAtildegAgrave5Auml|raquoLAacuteAumldAringcedilAEligOgraveuAumldcedilAcircUsup1YacuteEcircAtilde5AumlaringAuml|EacuteUbrvbarqAtilde5Agrave AacuteOtildeAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo Ccedilgsup1currenAacuteIcircaAgrave5frac14dIgrave(Atildecedil4frac14OslashAgrave5AumldIgrave(OumlPAtilde5raquo~AEligfrac14ZAacutesup1Aumldraquo13aIumligraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquesteatilde]IumliquestWaacuteIacuteIumlZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestefrac14draquo~Ecirc[NtildeIumlBagraveAring~EacutePAtilde cedilwAacute4] divideugrave|ugraveuacute Agrave|iquestk` g sup1EcircAtilde5AumlUacuteAuml|EacuteUbrvbarqAtildeAgraveAacuteFAEligwAtildeordm|Igrave(Atilde5raquoLAacute4frac14Aacutesup1AumldraquoAring~AEligwsup1raquo~ordmIacuteAtilde5Aring~frac12Atildecedilsup1frac14draquo cedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAElig_aIuml igraveiacuteraquoS] x4rv p ildrRtcodil|yodv pwv P4vIacuteoodshyiUrv paumlumltutcod Iuml g frac14draquoAgrave5Auml|AringAcircnAtildecediliquestehEgravefrac14draquo~frac14|Ecirc~frac14UIumlbyfrac14dAEligwAElig5iquesteaacuteIacuteIumliquestWagrave0Iuml Ucirc sup1currenAacuteUgravesup1raquoiquestWfrac14raquoiEcirctimesTHORNFIumlWETHBAtildecedilOcirc5AumldOumlPAuml|Aringfrac12AumldAElig_] uacute4^ JUiquestk`currenatilderaquoifrac14UgravenAtilde5AElig_]WagraveAgraveAacutesup1AcircnAtilde(Agrave5AumldraquoLAacuteAuml|Aringcedil0Igrave(AumlUEcircAtilde5frac12AElig_aIumlx4~rv p4PldrRtcoPl|WpoundUop4PldWoqodshyiUrv pTumltutcod iquest ndivideUuacuteyUzndivide Iuml

aacuteUacutefrac14dfrac12frac12frac14|Ecircsup1ciquest~szlig0IumliquestedIuml]atildeUAtildeAacuteIcirc~sup1frac14raquoiquest~frac14draquoiEcircZIuml g Atilde5IgraveNtildeAringcedilsup1G] uacute4^z^ UiquestS`atildeUIcircifrac14OumlPAtilde$Igrave(AumlUEcircAtilde5frac12sup1raquo~ordm0Ccedilgsup1AacuteIcirciexclOgraveregcedilAuml|raquoLAacuteOumlcedilAumldOumlifrac14dordm|frac14EumlAacutesup1Aumldraquo13]nfrac14ampfrac12AtildeAcircnAtilde5frac12AEligwAtildeAacuteEgravefrac14Ouml~OumlcedilAumlnfrac14dAgrave4Icirc13aIuml xQ|||~pwld lnrRtcodampodsectgldrRrv p 9Pl| ~tu9ldP j ln4Utreg]vx4~rvu t not v i4v Iordf iquest uacute z yiuacute+r UIuml

aacuteUacutefrac14draquoAEligwAuml|Aringcedilsup1Riquestagrave0Iumlfrac14draquo~EcircdIumlb$Auml|raquocedil4frac14|EcircS] uacute_^J^J^ iquestlaquo`currenaacuteAumldAacutesup1AumldraquoAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo`Ccedilgsup1currenAacuteIcirceumlfrac12Atilde5AcircnAtildefrac120AEligwAtilde AacuteAElig_aIuml igraveraquo13]x4~rv p4PldrRtcoPl|=ov pwv P4vNtildeodUacutex4shyl not vsectEgravepwo4v tu not Iumlcb$AumldEacutePAtilde|iquestednfrac14dOuml~frac14draquoIuml

aacuteAuml|raquoLAacute4frac14dordmdraquoifrac14ZAacuteiquestdIumliquestziexcl0IumlTHORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquestdfrac14draquo~EcircoNtildeIumlZagravegfrac34Ufrac14dAgrave4Icirc~AtildeJ] dividedugrave|ugraveUuacute iquest` agraveOslashcedilAtildeAcircsup1AtildeCcedilaeligAumldOgravePEcircAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeAEligwAringcedilwOgraveufrac14dAgrave5AtildeAElig_]AacuteAuml|OumlPAuml|frac12Aumldordmdfrac34Liquestgordm|AtildeAuml|Igrave(AtildeAacutewcedilwfrac34frac14draquoiEcirc EcircAtildeOgraveuAumlcedilIgravefrac14Aacutesup1Auml|raquoSaIuml x4shyl not vtimesldiOacuteumltutcododshy~rRtreg not0Inot v uacute_qw iquestuacuteugravendivide+y~uacuteugravezq|ugrave Iuml

aacuteAring~IgraveOgraveregAumldcedil4Ecirciquest=THORNFIumlgfrac14raquoiEcircdIumlatildeIcirc~frac14dIcircS] uacute4^ ^ iquest`currenmiddotOumlAacutesup1Igravefrac14frac12$frac14dOumlOumlcedilAumlicircsup1Igravefrac14Aacutesup1Auml|raquoAEligEacuteLfrac34Oumlsup1AtildeAgrave5AtildeCcedilgsup1AEligwAtildetimesAEligwIgrave(AumlLAumlAacuteIcircOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligFfrac14raquoiEcircOslashfrac14dAEligwAEligwAumlLAgravesup1Yacutefrac14ZAacuteAtildeEcircaringAcirc|frac14Zcedilsup1Yacutefrac14ZAacutesup1Auml|raquoifrac14frac12EgraveOumlcedilAumldEacute~frac12Atilde5Igrave(AElig_aIuml odshyNtildeshyFU~tR4lrRtcod~oaeligsectEgraveUpvUacuteldiEgraveni tsvw j ldrreg~v shy(lrRtccurrenshyt iquest rzr4y xJ q Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfa

yenKbrvbarsect =4 acirc $ zmiddotAEligwIcirc~AtildecediliquestdatildePIumlfrac14draquo~EcircdIumlnatildeAtilde AacuteIcirc~sup1frac14draquoS] uacute4^ ziquest` eacutecedilAuml|raquoLAacuteAEligeOumlcedilAumldOumlifrac14ordmnfrac14Aacutesup1raquoordmCcedilgsup1currenAacuteIcircFAgrave5AringcedilAcirc|frac14ZAacuteAringcedilAtildeEumlEcircAtilde5OumlPAtilde5raquoiEcircAtilde5raquoLAacuteBAEligwOumlPAtildeAtildeEcircS]

agravefrac12ordm|Aumlcedilsup1AacuteIcircIgrave(AEligEacute~frac14dAEligwAtildeEcircaumlAuml|raquoiexclampfrac14Igrave(sup1frac12AacuteAumldraquoEumldnfrac14Agrave5Auml|Eacutesup1eacute~AumldcedilIgraveNtildeAring~frac12frac14Aacutesup1Auml|raquoSaIuml poundUodUp4Pl|oqiexcloshyiUrsldrRtcoPl|sect=U~tc ordfenot iquest uacutedivide4yEqE^ Iumlfefrac14cedil4frac14ordm|sup1Auml|AElig5iquestoNtildeIumlfrac14draquo~EcircIacuteszligyIuml]THORNampAtildecedilsup1Agrave4Icirc~AtildeJ] uacute4^z^J^ iquest`s[Atilde5AumlUEcircAtildeAEligwsup1Agravefrac14AgraveAacutesup1AcircnAtildeFcedilAtilde5ordmdsup1Auml|raquo~AElig$OgraveregAumldcedil0Igrave(AumldAacutesup1Auml|raquoTAtilde5AEligqAacutesup1Igravefrac14Aacutesup1Aumldraquofrac14draquoiEcircAacutewcedil4frac14dAgrave4UgraveUsup1raquoordmAaIumligraveiacuteraquoS] x4rv p ildrRtcodil|-ov pwv P4vFodOslashodshyiUrv paumlumltutco Iumleh=AumldcedilwOgraveregAringgt[cedilAtilde5Atilde5Agrave5Atilde|Iumlfefrac14AacuteAtilde5Aringicirc]iquestatilde]Iuml] dividedugravedugrave|ugrave iquestpound`currenatildeOuml~frac14Aacutesup1frac14dfrac12AEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoTAumldOgrave=Agrave5Auml|frac12Aumlcedilysup1Igravefrac14ordm|Atilde5AEligampfrac14dAgrave5Agrave5Aumlcedil4Ecircsup1raquo~ordmAacuteAumlUacuteaacuteTHORNaringOgraveregAumldcedilIgravefrac14dfrac12currenEumlsup1AEligwIgraveaIumlyigraveraquo13] x4~rv p4PlrRtcodPld=od5v pv i vodododpFtu pwl4UtcldPx4shyl not vysectpqo v tu not Iumlatildefrac14dsup1raquoLAacute UumleAacutesup1Atilderaquo~raquo~Atildediquestieacutecedil4frac14raquo~Agrave5AtildedIumlfcedilAtildeAgrave5sup1Auml|AEligwAumliquesteacute=IumlEgravefrac14raquoiEcirc aacuteIacuteIumlcurrenZEgravefrac14cedilfrac12frac14dAring~EcircS] dividedugrave|ugraveUuacute iquest` Z-EumliacuteatildeUOuml~frac12sup1raquo~Atildeaumlfrac14dAgrave Aacutesup1Acirc|AtildeOtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAEligOgraveregAumldcedilOgraveRfrac14AEligqAacuteAcircUsup1EcircAtilde5AumltimesAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIumlOacuteigraveraquo13] x4rv p ildrRtcodil|od5v pv P4vaeligod x4shy(l not vUacutesectpqo4v 4tu not IumlETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1Riquest[cedilAtilde5Atilde5Agrave5Atilde|Iuml

szligAumldraquoOgraveufrac14cedil4EcirciquestszligyIuml] uacute_^J^q iquest` szlig9Atilde5ordmdsup1AumldraquoEumlsEacuteifrac14AEligwAtildeEcircFAEligqAacutewcedil4frac14ZAacuteAtilde5ordm|sup1Atilde5AEligeOgraveuAumlcedil-frac14dAgraveAacutesup1AcircnAtildeEgraveAgraveAuml|raquoLAacuteAuml|AringcedilIgrave(AumlUEcircAtilde5frac12AElig_aIuml x4~rv p4PldrRtcoPl|poundUodUp il|WoqodshyiUrv paumlumltutco I v dividezw iquest divideddividez^+yUdivide uacute Iuml

atildefrac14Igrave(AEligwAuml|raquoiquestzhIumliquestzIumlzZ=frac12frac14raquo~AgraveEumleacuteAtildecedil4frac14AringiEcirciquestJ[NtildeIumldagraveAringEacutePAtildecedilwAacuteiquestfrac14draquo~Ecirc dIumlJregPAtildecedilAring~Eacutesup1frac14I] dividedugravedugrave|ugrave iquest` agrave frac12Atilde5Acirc|Atilde5frac12UAEligwAtildeAacuteIgrave(AumlUEcircAtilde5frac12nOgraveregAumldcedilsup1Igravefrac14ordm|AtildeAgrave5frac12frac14dAEligwAEligwsup1siAgravefrac14ZAacutesup1Auml|raquo13aIuml x4~rv p4PlrRtcodPldpoundUodUp4Pl|BoqNtildeodshyiUrv pOtildeumltreg4tRod shy v Ew iquest uacute r4y~uacute4^Er Iuml

atildefrac14raquo~ordmdCcedilgsup1raquoAtilde|iquest9atilde]IumlEgravefrac14draquo~Ecircszlig0IumlampiexclAumldcedilraquoAtilde v Atilde5EcircAElig5Iuml w ] uacute_^J^ Uiquest ~vIacuteo|odUpaumltushyl not vipqo4v 4tu not ldP|m4oo4uml Iumlh=Icircifrac14dOumlIgravefrac14draquodegmacriexclampfrac14dfrac12frac12RIumlatildeAtildeAacuteIcircsup1frac14draquoiquestdIumlplusmn] uacute4^z^|ugrave iquestU` oAringIgrave(Atildecedilsup1Agravefrac14dfrac12Ufrac14frac12ordm|Aumldcedilsup1currenAacuteIcircIgrave(AEligWOgraveuAumldcedilOumlcedilAuml|Oumlifrac14ordmnfrac14ZAacutesup1raquoordmsup1raquoLAacuteAtildecedilwOgraveRfrac14Agrave5Atilde5AElig_]Jiexclampfrac14dIgrave(sup1frac12currenAacuteAuml|raquoEumldnfrac14dAgrave5AumldEacute~sup1

AtildeecircLAringifrac14Aacutesup1Aumldraquo~AElig-frac14draquoiEcircAgraveAuml|raquo~AEligwAtilde cedilAcirc|frac14ZAacutesup1Aumldraquo(frac12frac14CcedilgAElig_aIuml poundUodUp4Pl|]oqEgraveyen$t lv pv rRtcl| voshyv rRp~ iquest uacute4Uuacutey~uacute x uacute IumlatildeAtildeAacuteIcircsup1frac14draquoiquestAdIuml] uacute4^J^ xiquest kWvndvB]v r j v rregod IumlcurrenhEgravefrac14dIgraveNtildeEacutecedilsup1EcircordmdAtilderaquosup1AcircPIumlAfecedilAtilde5AEligwAElig5Iumlatildesup1Ecirc~Ecircsup1ecircUsup1Riquest4bIumliquest_yenNtildeIumlBfrac14Aring~Ocirc5sup1Gsup2AtildecedilAtilde|iquestagraveyIumlETHWfrac14draquoraquo~Atilde5raquoUEacute~frac14dAring~IgraveUacuteiquest5frac14draquo~EcircNtildeatildePIumlregPAring~Agrave4UgravenAtildecedil4] uacute_^J^ xUiquestE`currenagravegcedilAtildefrac149frac14draquoiEcirc$frac12Atilde5raquoordmdAacuteIcircyIgrave(sup1raquoEuml

sup1Igrave(sup1Ocirc5sup1raquoordm sup3iAumlCcedilgAEliggOgraveuAumldcedilAEligwIcircifrac14OumlPAtildeyAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo13aIuml xQ|||~pwl~ lnrRtcodoOtildex4shyl not vsectEgravepwo4v tu notordf v Ew iquest qEz+yqzqE Iumlyen=AtildeOcirc5Ocirc5sup1RiquestagraveyIumliquest5agrave0Iuml5ETHEgraveAEligfrac14dsup1Riquestfrac14draquo~Ecirc$agrave0Iuml Ucirc sup1frac12frac12AEligwUgraveLfrac34] uacute4^z^J^ iquestJ` agraveaeligAEligqAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12Ufrac14dOumlOumlcedilAumlnfrac14Agrave IcircampAacuteAumlgAEligwraquo~frac14dUgravenAtilde5AElig]OgraveuAumlcedilWEacutesup1Igrave(AumlUEcircfrac14dfrac12frac14draquoiEcircAacutewcedilsup1Igrave(AumlUEcirc~frac14frac12isup1Igravefrac14dordmdAtildecedilwfrac34aIumligraveraquo13] x4rv p ildrRtcodil|eodv pwv P4vyodx4shyl not vgsectpqo v tu not IumlAb$AumldEacutePAtildednfrac14dOuml~frac14draquoIumlreg]IcircUAringiquest]atilde]Iumlfrac14raquoiEcircaumlagrave0Iumleyen=Aringsup1frac12frac12AtildeJ] uacute_^J^ xUiquestpound` szlig9Atilde5ordmdsup1AumldraquotimesAgrave5AumldIgrave(OumlPAtildeAacutesup1currenAacutesup1Auml|raquo13]iAring~raquo~sup1currenOgraveYacutefrac34sup1raquoordmiexclAEligwraquo~frac14dUgravenAtilde5AElig5iquestPcedilAtildeordm|sup1Auml|raquoTordmdcedilAumlCcedilgsup1raquo~ordmiquestfrac14draquoiEcircZEgravefrac145frac34LAtilde5AEligacute|aacuteTHORNOgraveregAumldcedilIgraveFAring~frac12currenAacutesup1Eacuteifrac14raquoiEcirc sup1Igravefrac14ordm|AtildeTAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo13aIuml xQ|||micro~pwld lnrRtcodtimesosect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4v Icent iquesteJ q+yU^dugrave|ugrave Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfo

i $amp)(+-)013021+345627893lt=gt9A6CBfrac12OcircacuteIshyNT

frac12OcircacuteIltNTpara frac12frac34EMeJaumlQcYZYZjJUacuteQsY H [ ^QEgraveJLhZJUO H QcN H J H MeJordfXiacute[]fcfR[WQcO[Oslash^e[]ZaringNPQsOXiacutejOb H QR[]ONPfdaringocirc|adOuml times jOcircaacute uuml times a2atildeltszligaumlgtszliglOuml times j atilde auml

G QsObnJ H MJeumlYZJ H [SXIacuteNPfcfUacute^e[]ZaringNPQsOYMNPY Oe[ H N Y H hjb H jhZJ`[SXUPJUb H [PhQcNPfOtildeYZKNPbnJSefRJ H jYZ N`PJ H MeJeumlhZJ[]QR[]OYJUP[]fVUPJ H MehZ[]j[]M NrXqNSZaringQcfVm [SX H hNPOYYX[PhlZ N H QR[]OYa(|aagraveszlig jj emiddot iacuteaumlYlZOslash[[ H MaNPO^ centQ ~JUb H QVUPJS^ not [PhNOslashKEgrave[]QcO H $ aacute atildeshyszligaumlN eFWFJTOe[ H JSaring$ aagravej|aacutemiddot|aagraveszlig $ j WiexclQ H M |a s szlig $ jaacute $OumlcopytimesaagravejOcircaacutemiddot|aagraveszliglOumlutimesdj WiexclQ H M |a s szliglOumlcopytimesAjOcircaacuteAumlOumlutimes9J H jY H MeJUO^JOeJ H MeJordfUPJUfR[WbLQ H moUPJUb H [PhdY JUfs^kfrac12 YZjbM H MN H aringfrac12sup1aagraveszlig $ aagravejj|aacute aelig |aelig agrave aagraveszlig $ j YlaquoXiacuteNiharingNPY H MeJ bn[]ZOslashKj H N H QR[]O[SX H MeJ ^eJLhQU~N H QVUPJ QcYOslashbn[]ObnJLhOeJU^OeWFJNihZJQcOWVH JLhZJUY H JU^ QcO YYZaringNPfcfOtilde^JX[PhlZ N H QR[]OY^ J H MBjYJkWKNPO^ H MeJ H hNPOYX[PhZaringN H QR[]ONPbLbn[Ph^QcO[ H [hdY H [Ph^eJLh NmWfR[PhyacuteXiacute[PhlZtimesjfcNaring|aagraveszlig $ jpoundaacuteAElig|a s szlig $ j agrave aelig |aelig agrave a s szlig $ jaacute $ ragrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacute frac14 frac14 a s szlig $ j^ J H MeJUOQcO H hZ[W^jbnJ H MehZJLJgZ NPQcO^eJOQ H QR[]OYaringf^QMeJg0jfRJLhQcNPO^eJLhQU~N H QVUPJOtilde[SXocirc|adOuml times jordfaqQcO H MeJIacute^QRhZJUb H QR[]O[SXcedilfrac12jaring ocirc|adOumlcopytimesszlig_frac12jOcircaacutefcQZUcedil iacute ocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave admacrfj ^QMeJgZaringN H JLhQsNPfg^eJLhQVUiN H QVUPJOtilde[SXuumlStimesYa $ szliglOumlcopytimes)jaringsup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j|aacutefcQZUcedil iacute uumlStimesa $ ragrave3frac12ba $ jszliglOumlutimes agrave3frac12sup1a $ jj uuml]timesa $ szliglOumlcopytimesdjagrave admacr j^QMeJaumlYZMNiKEgraveJOtilde^eJLhQU~N H QVUPJOtilde[SXOcircuuml]timesa $ szliglOumlutimes)jaring

uumlnotraquotimes a $ szliglOumlcopytimesUcircszlig_frac12 jaacutefcQZUcedil iacute uumlStimesYa $ szliglOumlutimesragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave admacrS]j

uumlnyacutenthornnyumll13YSordmY_Fordfy

yenKbrvbarsect =4 acirc $ hq centUWQR[]jYZfVmSe-centmaJkBKNPO^QcO[ admacr jUacuteNPbLbn[Ph^QcOF[ H [hdY H [Phd^eJLhordfNmBfR[PhordfXiacute[PhlZtimesjfcNeWFJaumlMNUPJSaring sup1uumlStimesYa $ szliglOumlcopytimesUcircszlig_frac12 jaacuteAumluumlnotraquotimes a $ szliglOumlcopytimesszlig_frac12jhuumlStimesa $ szliglOumlcopytimes)j frac12sup1a $ j admacrj J H MeJUOabn[]ZOslashK-j H JZOslash[PhJaumlKhZJUbLQcYZJUfVm H MJ0jfRJLhQcNPO ^eJLhdQVU~N H QUPJauml[SXcopyocirc|adOumlcopytimesdj^ JMNUPJSaringocircOcircadOumlutimesaagravejj ocircOcircadOumlutimes)jagrave aacute fagrave = thorn yuml uuml times a $ aagravejszliglOuml times aagravejj $ uuml times a $ szliglOuml times j $ FH admacrSmacr]j5O H MJohY H QcO H J[PhdNPfdeltWFJZaringN`PJ H MeJU~NihdQcNicentfRJ bMNPO[PJ $ aagravejaacute $ agrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacuteethicirc7a2atildeshyszligaumlFjszligicirc cent a2atildeltszligaumlj eWMQcbdM[]QVUPJUYaring thorn yuml uuml]timesYa $ aagravejszliglOumlcopytimesYaagravejj $ aacute admacrS]j

5 uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlutimes agrave3frac12sup1a $ jjlt^eJ H ocirc a $ jlt $WMJLhZJocirc a $ jQcY H MeJgXiacute[]fcfR[WQcO[aringSNPbn[PcentQcNPOtZaringN H hdQkKaring

ocirc a $ jaacute oacute fcedilxagrave frac14 iacute oslashfrac14Uordm agrave frac14 iacute oslashfrac14 ugraveagrave frac14 iacute acircfrac14ordm fcedil agrave frac14 iacute acircfrac14 ugrave ocircNPO^ YZ[eFWNtildeJIacuteMNUPJSaring

^eJ H ocirc a $ jOcircaacute fUragravee^QVUKafrac34frac12sup1a $ jjragrave cent ^eJ H amacr frac12sup1a $ jjMJUOWNtildeJauml[Pcent H NPQcOOaring

fsQZcedil iacute ^eJ H ocirc a $ j fagrave aacute ^QVUKafrac34frac12sup1a $ jj admacr]zSjMJJBjN H QR[]OxadmacrSmacr]j H MeJUOcent=JUbn[]ZaringJUYaringocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave aacute fagrave middot uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jjlt 13raquo ocirc a $ jlt $ uumlStimesa $ szliglOumlcopytimesAj $ admacrSi]j JTbLNPO`YZjeKKEgrave[]YJ H MN H ^eJ H aocirc a $ jjfrac14aacute sfrac12 agrave frac12 $ ^ JZaringNm H MeJUO H N`PJ^eJ H aocirc a $ jjfrac34 s eNPO^ WNtildeJ ^eJUPJUfR[PK H MeJaJkWKhZJUYYZQR[]OadmacrSi]j NPYoX[]fsfR[WQsO[centmNP^^QcO[aringN H JLhZ QcO H MeJIacuteYZJUbn[]O^aQcO H J[PhNPfltWMQcfcJaumlYZjeKKhJUYZYZQcO[ H MeJtimesYZNSZOslashJ H JLhlZQcO H MJordfhY H QcO H J[PhNPfdaring ocirc|adOumlcopytimesYaagravejj ocirc|adOumlcopytimes)jagrave aacuteegraveOtildef1rOtilde cent admacrSh]j

uumlnyacutenthornnyumll13YSordmY_Fordf

s $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJSaring

Otilde aacute uuml]timesa $ ragrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave ^eJ H aocirc a $ jj $ ad s jOtilde cent aacute uuml]timesa $ szliglOumlcopytimesdj ^eJ H aocirc a $ jj fagrave $ adfj

9J H jY_ZaringN`PJordmagrave H JUO^ H [WNih^Y s ^curreniquestYZQcO[frac34admacrjiexclNPO^JOQ H Qc[]OYadmacr e macrS]jeWFJ[PJ H aringfcQZUcedil iacute Otilde aacute sup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j $

aacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ uuml times a $ szliglOuml times j frac12sup1a $ j $fcQZUcedil iacute Otilde cent aacute uuml]timesa $ szliglOumlcopytimesdj^QVUKafrac34frac12 j $

O^ Y[Xiacute[Ph H MeJgNtildejfRJLhQsNPO ^eJLhQVUiN H QVUPJSeWFJgO^Oaring ocirc|adOuml times szlig_frac12jumlaacuteyacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ amacrreguumlStimesYa $ szliglOumlcopytimes)j frac12sup1a $ j7 uuml]timesYa $ szliglOumlcopytimes)j^QVUKafrac34frac12sup1a $ jjj $aacute uumlnotraquotimes a $ szliglOuml times szlig_frac12j $ ^QVUKaduuml times frac12j $ ad j

MeJUO NiKKfVmWQcO[ H MJ hJLJUOWVAQRJZ NPOO H MeJL[PhZJZQcO ad jeWNtildeJ5ONPfcfmtimes[Pcent H NPQcOOaring ocirc|adOumlcopytimesszlig_frac12jOcircaacute uuml raquotimes a $ szliglOumlcopytimesUcircszlig_frac12j $ uacutefrac14 5 uuml]timesYafrac34frac12 eacuteAgraveiquestsup1AacuteAtildeAcircj THORN adS]jWMJLhZJ5eacuteAgraveiquestsup1AacuteAtildeAcircyQcY H MeJUacutejOQ H QcOOgraveWNih^ Oe[PhlZaringNPf H [ aelig OumlcopytimesUcirc^MeJ_NtildejfRJLhQcNPO ^eJLhQVUiN H QVUPJQcY(O[ H JU^ ocirc raquo aagravej(QcO H MeJaumlKNiKEgraveJLhNPO^ H MeJaumlYZMNiKEgraveJauml^eJLhQU~N H QVUPJyuuml raquotimes QcY(Oe[ H JU^ frac14 frac14 ^iquest acutemicrosup1cedilFLft not [PhyYQZOslashKfcQsbLQ H mSeWNtildeJ(bM[[]YJ H MeJcopyXiacute[]fcfR[WQcO[_U~NihQsN H QR[]OaeligQcO H MeJKhZ[B[SXaring$ aagravejaacute $ agrave3frac12sup1a $ j^MJiexclKh[[SXZaringNm NPfcYZ[IacutecentEgraveJiexcl^JUPJUfR[PKEgraveJU^WiexclQ H MZaring[PhZJ_[PJUOJLhNPfUiNihQcN H QR[]OYFYjbM NPYaring $ aagravejaacuteAacuteAgravea $ szligYagravejWQ H MAcircAgrave`NOslashYYZOslash[B[ H MXiacutejOb H QR[]ONPO^AcircAgravea szligYagravejcentQ ~5JUb H QVUPJS^

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ ffrac12OcircacuteIshyNT AcircE J(MNUPJ H [Otildebn[]ZOslashK-j H J H MJNtilde^QEgraveJLhZJUO HH JLhZaringY9[SXQa macr]j9QsOauml[Ph^eJLh H [Uacute[Pcent H NPQcO H MeJ

JUP[]fcj H QR[]OJBjN H QR[]O[SX H MeJ NPb H QUPJ bn[]O H []jehX[Ph H MeJ ^JUYZbnhQRK H [PhdYaumlcentNPYJU^Oacute[]OH MeJ(bn[U~NihQsNPObnJ ZaringN H hQVktimes^eJ H JLhlZ QcONPO H a2Ograveh]j^OgraveMeJ(bn[]ZOslashKj H N H QR[]OaringQcYampKEgraveJLhYXiacute[PhlZOslashJU^Xiacute[Ph H MeJIacute^eJUYZbnhQRK H [Ph_uuml thorn timesOslash yuml ^ q centUWQR[]jYZfmSeN YZQZ QcfcNihbn[]ZOslashKj H N H QR[]OabLNPOacent=JIacute^e[]OeJXiacute[PhOcircuuml thorn UgraveUcircUacuteUuml yuml ^ JiexclbLNPOaeligJkBKhJUYZYOcircuuml thorn timesOslash yuml NPYyNUacutebn[]ZTcent-QcON H QR[]Oaelig[SXgtXiacutejOb H QR[]OYamp^eJLKEgraveJUO^QcOF[[]O H MJOtildehZJ[]QR[]OwOuml timesOslash aring

uumlgtthorn times Oslash yuml a2atildeltszligaumlgtszligYagravejaacute`Ograveoacute m thorn timesOslash yumlaIgraveagrave thorn timesOslash yumlAtilde j cent ocirc adjWMJLhZJordmaacuteAuml85eWiexclQ H MAring8 H MeJordfXqjOb H Qc[]O QcO H h[B^jbnJU^ QcOpounda2Ograveh]je-NPO^aringm thorn timesOslash yuml aacute agrave thorn timesOslash yuml agrave thorn timesOslash yumlcent agrave thorn timesOslash yuml agrave thorn timesOslash yumlAElig agrave thorn times Oslash yumlCcedil agrave thorn timesOslash yumlEgrave agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlEgrave j cent agrave thorn times Oslash yumlcent aIgraveagrave thorn timesOslash yumlCcedil j cent agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlAElig j centWQ H MOaring EFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFH

agrave thorn timesOslash yuml aacute w$ thorn yuml aOtilde S times Oslash j cent atilde aumlagrave thorn timesOslash yumlcent aacute w$ thorn yuml aOtildeOgravecent Scenttimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yuml aacute w$ thorn yuml aOtildeS Stimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yumlAElig aacute w$ thorn yuml aOtilde S times Oslash jaOtildeOgravecent ScenttimesOslash j atilde aumlagrave thorn timesOslash yumlCcedil aacute w$ thorn yuml aOtilde S times Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlEgrave aacute w$ thorn yuml aOtilde cent S centtimes Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlAtilde aacute w$ thorn yuml atilde auml O^ Y[ H MJordfXiacutejOb H QR[]OY aelig thorn timesOslash yumlauml MNUPJ H MeJgXiacute[]fcfR[WiexclQcO[aeligJkBKhZJUYZYZQR[]OYaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

aelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlcent aacute aOtilde cent S centtimesOslash j centaelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlAElig aacute aOtilde S timesOslash jaOtilde cent S centtimesOslash jaelig thorn times Oslash yumlCcedil aacute aOtilde S timesOslash jaOtilde S timesOslash jaelig thorn times Oslash yumlEgrave aacute aOtildeOgravecent ScenttimesOslash jaOtilde13 StimesOslash jaelig thorn times Oslash yumlAtilde aacutemiddotf

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBnot h[]Z H MeJUYJaumlJkWKhZJUYYZQR[]OYeWFJOtildeJUNPYZQcfm ^eJU^jbnJ H MN H aring

$ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde aumlregaacute sEacutefrac12poundEcirc iuml

J H MeJUO MNUPJ H [Tbn[]ZaringKj H J H MeJ H JLhlZaringY eacute thorn times Oslash yumlauml XiacutehZ[]Z H MeJJkWKhZJUYZYQR[]OYamp[SXagrave thorn timesOslash yumlauml eWMQcbM fRJUNP^Y H [aringEFFFFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFFFFH

eacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideoslash aacute w$ thorn yuml uacute ouml $ordfdivideacirc uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIgrave yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H a timesOslash jjeacute thorn timesOslash yumlcent aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideacirc

aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIcirc yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideEuml aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideacirc thorn thorn uacute ouml $_divideIuml yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yumlAElig aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIuml aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideEuml uacute ouml $ordfdivideIuml thorn uacute ouml $_divideIcirc uacute ouml $ordfdivideIgrave yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlCcedil aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIcirc aacute w$ thorn yuml cent thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideacirc uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlEgrave aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIgrave aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideoslash uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlAtilde aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIacute aacute w$ thorn yuml thorn +ETH ouml $_dividethorn uacute ouml $ordfdivideIacute yuml Iuml 8 raquo aq^J H a timesOslash jj

O^centmJkWKhZJUYZYZQsO[ H MeJbn[UiNihQcNPObnJZaringN H hQVkpoundWQ H M H MJregXqjOb H QR[]OYagrave thorn timesOslash yumlauml NPYXiacute[]fcfR[WQcO[aring

timesOslashlaquoaacute 1NtildeNtildeNtildeNtildeNtildeNtilde3uacute ouml $ordfdivideoslashuacute ouml $ordfdivideIacute uacute ouml $_divideIumluacute ouml $_divideIacute uacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIumluacute ouml $ordfdivideIacute uacute ouml $_divideacircuacute ouml $_divideIacute uacute ouml $ordfdivideIgraveuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacute uacute ouml $_divideIgraveuacute ouml $_divideIacute uacute ouml $ordfdivideEumluacute ouml $ordfdivideIacute

6OgraveOgraveOgraveOgraveOgraveOgrave7 J H MJUO^eJU^jbnJSaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

eacute thorn times Oslash yuml aacute a fj thorn yuml ^eJ H aDC Ptimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlcent aacute a fj thorn centcent yuml ^eJ H aDC centcenttimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yuml aacute a fj thorn curren yuml ^eJ H aDC 4times Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlAElig aacute a fj thorn cent yuml ^eJ H aDC centtimes Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlCcedil aacute a fj thorn curren yuml ^eJ H aDC times Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlEgrave aacute a fj thorn centcurren yuml ^eJ H aDCcent4times Oslash j48 raquo aq^eJ H a timesOslash jjeacute thorn times Oslash yumlAtilde aacute amp^eJ H a timesOslash j48 raquo aq^eJ H a timesOslash jj

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ SWMJLhZJC EBtimesOslash QcY H MeJgZaringN H hdQk ^eJU^jbnJU^Xh[]ZOacutetimesOslasharingcentm YZjeKKhZJUYZYZQcOF[ H MeJyuuml UumlON hZ[WNPO^ H MJ I UumlON bn[]fcjFZaringOO^]MeJbn[]ZOslashKj H N H Qc[]OordmX[Ph H MeJ^eJUYZbnhdQRK H [Ph|uuml thorn UgraveUcircUacuteUuml yuml QcYyYQZaringQcfcNihNPO^WFJ H MeJUOOslashMNUPJNPfcf H MeJ(JkWKhZJUYZYZQc[]OY H [aumlbn[]ZOslashKj H J H MeJJUP[]fcj H QR[]OaeligJjN H QR[]OXiacutehZ[]Z H MeJg[PJUOJLhNPfOXiacute[PhlZIacutejfcNta macr]j^gtMQcYcopy[]QVUPJUY H MeJTJUP[]fcj H QR[]O JBjN H QR[]Osup1admacr s j^

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBΩ out

Objects

Γ

inΩ

inΩ

Background Part

-t not Upv copy ETHEgraveIcircAtildeampAacuteiacuteCcedil=AumlFcedilAtilde5ordm|sup1Aumldraquo~AElig9AumldOgravefrac14raquoUacutesup1Igravefrac14dordm|Atilde

Ω

Ω out (τ)Ω

(τ)in

N

Γ(τ)

Ω

N

v

w

N

-t not Upv ETHEgraveIcircAtildeyEcircAumldIgravefrac14dsup1raquo~AEliggfrac14raquoiEcircAacuteIcircAtilde$AcircnAtilde5AgraveAacuteAumlcedilAEliggsup1raquoUAcircnAumldfrac12AcircnAtildeEcircsup1raquoiexclAacuteIcirc~Atilde$EcircAtildecedilsup1Acirc|frac14ZAacutesup1Aumldraquo

uumlnyacutenthornnyumll13YSordmY_F2ordf

yenKbrvbarsect =4 acirc $ Smacr

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 Atilde|IumligraveAacuteAtildecedil4frac14ZAacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvyzU eacuteWsup1ordm|AringcedilAtilde5AEligfrac14iquest Eacuteiquest AgraveJ]iUumlAcircnAumldfrac12AringAacutesup1Auml|raquoOtildeAumlOgraveeAacuteIcirc~Atildeyfrac14dAgrave Aacutesup1Acirc|Atilde0AgraveAuml|raquoLAacuteAuml|AringcedilIgravefrac14raquoifrac14ordm|AtildeEcircUacuteEacuteLfrac34AacuteIcirc~AtildefTHORN$Uuml v qzqwsup1raquo~Agrave5frac12AringiEcircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquoifrac14frac12ampAacuteAtildecedilIgrave(AElig5IumlgeacuteWsup1ordm|AringcedilAtilde5AEligOtildeEcirc]iquest Atildediquest Ograve] g sup1AEligwAringifrac14frac12sup1Ocirc5frac14Aacutesup1Auml|raquo`AumldOgrave0AacuteIcirc~AtildeTAgrave5AumldcedilwcedilAtilde5AEligwOumlPAumldraquoiEcircsup1raquoordmAcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 OgraveuAring~raquoAgraveAacutesup1Auml|raquosup1raquo~Agrave5frac12Aring~Ecircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquo~frac14dfrac12ampAacuteAtildecedilIgrave(AEligraquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirc EacutePAtildeAacuteiacuteCcedil=Atilde5Atilde5raquo ugrave frac14draquoiEcirc divide JUiquestAEligwAring~Agrave4IcircTAacuteIcirc~frac14Aacute$AacuteIcircAtilderaquo~Atilde5ordm|frac14Aacutesup1AcircnAtildeAcircdfrac14dfrac12AringAtilde5AElig0frac14cedilAtildefrac12AumlCcedilEgraveAtildecedilyAacuteIcirc~frac14draquo uacutedivide Uacutefrac14raquoiEcircaumlAacuteIcirc~AtildeOumlPAumldAEligwsup1Aacutesup1AcircnAtilde(Aumldraquo~Atilde5AEligyfrac14ZcedilAtilde(Icirc~sup1ordm|IcircAtildecedilAacuteIcircifrac14raquo uacuteZdivide Iuml

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

Ecirc]Iumligraveraquo~sup1currenAacutesup1frac14dfrac12BAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 Atilde|IumligraveAacuteAtilde cedil4frac14Aacutesup1Auml|raquo ugravedugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not Upv ucirc eacuteWsup1ordmdAringcedilAtilde5AEligtimesfrac14iquest Eacuteiquest AgraveJ]ampUumlAcirc|Auml|frac12AringAacutesup1Auml|raquoAumlOgrave(AacuteIcirc~Atildearingfrac14AgraveAacutesup1AcircnAtildeOslashAgrave5Auml|raquoLAacuteAumldAringcedilIacuteIgravefrac14draquoifrac14ordm|AtildeEcirc`EacuteUfrac34AacuteIcircAtildeOcircfTHORN$Uumlv q w iquestiexclCcedilgsup1currenAacuteIcirc~AumldAringAacuteAacuteIcirc~Atildefrac14dEcirc~Ecircsup1Aacutesup1Aumldraquoifrac14dfrac12TAacuteAtildecedilIgrave(AElig5IumliexcleacuteWsup1ordm|AringcedilAtildeAElig Ecirc]iquest Atildediquest Ograve] g sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo AumlOgraveaeligAacuteIcirc~AtildeAgraveAumldcedilwcedilAtildeEumlAEligwOumlPAuml|raquo~Ecircsup1raquo~ordm AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 OgraveregAring~raquo~Agrave Aacutesup1AumldraquoeumlCcedilgsup1currenAacuteIcirc~Auml|AringAacuteIacuteAacuteIcircAtilde frac14|Ecirc~Ecircsup1currenAacutesup1Aumldraquoifrac14frac12FAacuteAtildecedilIgrave(AElig v raquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirceumlAEligwAring~Agrave4Icirc AacuteIcirc~frac14AacuteIgravefrac14icirc vOOtilde wpOumldivide z w Iuml

uumlnyacutenthornnyumll13YSordmY_F2

S $amp)(+-)013021+345627893lt=gt9A6CB

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIumligravesAacuteAtildecedil4frac14Aacutesup1Aumldraquogt ugrave|ugrave AgravedIumlieacuteWsup1raquoifrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12Acirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 AtildedIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIumlieacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvtimesLg sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo(AumldOgravePAacuteIcirc~AtildeAtildeAcircnAuml|frac12AringAacutesup1AumldraquoAumldOgravePAacuteIcircAtildeEgraveAgrave5Auml|raquoLAacuteAumldAringcedil-frac14draquo~EcircNtildeAacuteIcirc~AtildeEgraveAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 v Ccedilgsup1AacuteIcircAuml|AringAacuteAacuteIcircAtildeEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircFAacuteAtilde cedilIgrave w OgraveregAumldcedilEgraveAacuteIcircAtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoAumlOgraveAacuteIcircAtilde9Ograveufrac14dAgrave5AtildeAring~AEligwsup1raquo~ordmyAacuteIcirc~Atilde9Agrave5AumlZAcirc|frac14Zcedilsup1frac14draquo~AgraveAtildeIgravefrac14Aacutewcedilsup1currenicirc]Iuml

frac14Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcircnAtilde EacuteIumligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 v AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde w Agrave|Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacutefrac34 v Acircdfrac14cedilsup1frac14draquoAgrave5Atilde w-t not Upv h=AumldIgrave(Oumlifrac14cedilsup1AEligwAumldraquoOtildeAumldOgraveAacuteIcirc~Atilde$sup1raquo~sup1currenAacutesup1frac14dfrac12eAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34iexclAgrave5Auml|Igrave(OumlAringAacuteAtildeEcircAringAEligwsup1raquo~ordmAacuteIcirc~Atilde$AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde0Igravefrac14Aacutewcedilsup1currenicircv iordmdAringcedilAtildeFEacute w AacuteAumliexclAacuteIcircAtildeAuml|raquoAtildeFAgrave5AumldIgrave(Ouml~AringAacuteAtildeEcircTAringAEligwsup1raquo~ordmiexclAacuteIcircAtildeFAcircdfrac14cedilsup1frac14draquoAgrave5Atilde v ~ordm|AringcedilAtildeFAgrave w OgraveregcedilAumldIgrave AacuteIcirc~AtildeNtildeAEligfrac14dIgrave(Atildesup1raquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcirc|Atilde v iordmdAringcedilAtilde$frac14 w Iuml

uumlnyacutenthornnyumll13YSordmY_F2_a

yenKbrvbarsect =4 acirc $ ]z

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv Oslash| THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5AtildeccediliacuteAtildecedilsup1UgraveUegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_o

Si $amp)(+-)013021+345627893lt=gt9A6CB

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv ordf THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5Atildeccedilqfrac14dUgraveUsup1currenfrac34LAumldegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_y

RR-0114-SJEHANpdf
  • wwwi3sunicefr
    • httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf
Page 7: LABORATOIRE INFORMATIQUE, SIGNAUX ET SYSTEMES DE …mh/RR/2001/liste-2001.pdf · 2002. 6. 27. · [Dir01] DIRAT L. “Outils pour des Mathématiques Interactives et Distribuées”

LABORATOIRE I3S Les Algorithmes Euclide B ndash 2000 route des Lucioles ndash BP 121

06903 Sophia Antipolis Cedex ndash Teacutel (33) 492 942 701 ndash Teacuteleacutecopie (33) 492 942 898 httpwwwi3sunicefrI3SFR Pour tout renseignement srsquoadresser agrave Micheline Hagneacutereacute Teacutel (33) 492 942 704 ndash email mhi3sunicefr

RT 01-12 SERRANO M Ed

ldquoSCHEME 2001 - Workshop Proceedings - Second Workshop on Scheme and Functional Programming September 2 2001 Florence Italy Technical Report ndeg I3SRT--2001-12--FR Septembre 2001 73 pages

RR 01-13 GALLEacuteSIO E SERRANO M

ldquoGraphical user Interfaces with Biglookrdquo Research Report ndeg I3SRR--2001-13--FR Septembre 2001 38 pages

RR 01-14 JEHAN-BESSON S BARLAUD M AUBERT G

ldquoDREAM2S Deformable Regions driven by an Eulerian Accurate Minimization Method for image and video Segmentationrdquo Rapport de Recherche ndeg I3SRR--2001-14--FR Novembre 2001 38 pages

RR 01-15 COLLET P

Fiabiliteacute des systegravemes agrave objets persistants les assertions persistent Rapport de Recherche ndeg I3SRR--2001-15--FR Janvier 2001 16 pages

RR 01-16 COLLET P ldquoOn Contract Monitoring for the Verification of Component-Based Systems Rapport de Recherche ndeg I3SRR--2001-16--FR Octobre 2001 5 pages

RR 01-17 COLLET P ldquoFunctional and Non-Functional Contracts Support for Component-Oriented Programming Rapport de Recherche ndeg I3SRR--2001-17--FR Octobre 2001 3 pages

mh
I3SRR--2001-14--FR

httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf

Document seacutecuriseacute incorporeacute

Le fichier httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf est un document seacutecuriseacute incorporeacute dans le preacutesent document Cliquez deux fois sur le bouton pour lafficher

httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf [27062002 110813]

LABORATOIRE

INFORMATIQUE SIGNAUX ET SYSTEgraveMESDE SOPHIAANTIPOLIS

UMR 6070

DREAM2S DEFORMABLE REGIONS DRIVEN BY ANEULERIAN ACCURATE M INIMIZATION METHOD FOR

IMAGE AND VIDEO SEGMENTATION

Stephanie JEHAN-BESSON Michel BARLAUD Gilles AUBERT

Projet CREATIVE

RapportderechercheI3SRRndash2001-14ndashFR

novembre 2001

LABORATOIRE I3S LesAlgorithmes EuclideB ndash 2000routedesLuciolesndash BP 121ndash06903Sophia-Antipolis Cedex Francendash Teacutel (33) 492942701ndash Teacuteleacutecopie (33) 492942898

httpwwwi3sunicefrI3SFR

REacuteSUMEacute

MOTS CLEacuteS Contours actifsbaseacutes reacutegions optimisation de domaine segmentation non superviseacutee deacutetection de visage deacuteter-minant dela matricedecovariance

ABSTRACT Originally active contours wereboundary-basedmethods They weredriven towardstheedgesof animagefromtheminimization of a criterionwith only boundary-basedtermsThemainpurposeof region-basedactive contours is to maketheactivecontour evolveusinginformationontheregionsin addition to theclassicalboundary-basedinformation

We proposeherea generalEulerian framework for region-basedactive contours namedDREAM2SWe introducea generalcriterion includingbothregion-basedandboundary-basedtermswheretheinformationontheregionsis embeddedin afunctionnameddescriptor Theoriginality of thiswork is twofold Firstly weproposeto useshapeoptimization principlesto computetheevolution equationof theactivecontour thatwill makeit evolveasfastaspossibletowardsaminimumof thecriterionSecondlywe take into account thevariationof thedescriptors during thepropagationof thecurve Indeed a descriptor maybegloballyattachedto the region andthusregion-dependentIt happens whenstatisticalfeatures of a region like for example the meanor thevariance of a region areselectedasdescriptors We show that thedependenceof thedescriptors on the region inducesadditional termsin theevolution equationof theactive contour thathave not beenpreviously computed DREAM2S gives aneasyway to takesuchadependenceinto account andto computetheresultingadditional terms

Experimental resultspoint out the importanceof the additional termsto reacha true minimum of the criterion andso toconverge on accurate results The covariancematrix determinant appears to be a very relevant tool for homogeneous colorregionssegmentationAs anexample it hasbeensuccessfullyappliedto facedetectionin realvideosequences

KEY WORDS Region-basedactivecontoursshapeoptimizationunsupervisedsegmentationfacedetection covariancematrixdeterminant

13 $ amp()+$-0123(4-5766-398( 1 lt=98ampgt8BA(0)CD ampE()gt+F)-0-amp=$8B98amp

GBHBIJLKMNPOQRJTSPJUMNPOWV4XFJUYZY[]ONPO^`_aQcbdMeJUfgXNihfcNPj^kBlnmodpqldrsodtupwvyx z|~B9iZ]nn pqodUrvFLv ke~tRo|v n|L zio UtclF9~rRt o| tuBpwldi4v vld~cmldp ldZP=tRz|U~tR v p QsfcfRJUY iexcljcent=JLh HkBlnmodpqldrsodtupwvFpoundcurren0]yenamptsv nod$brvbarv 9BiZPampUsect9lpwTumll| pqodvnncopynordf tc4v-vwLvwlaquo Bpwldi4vnot ldm4v p r=shyldrreg~Utc4v p

macrdegWplusmn5sup25sup3Zacuteimicro|sup2|para7middotcedilsup1ordm|sup1raquo~frac14dfrac12frac12currenfrac34Liquestefrac14dAgrave Aacutesup1Acirc|Atilde(Agrave5Auml|raquoLAacuteAuml|AringcedilAElig$CcedilEgraveAtildecedilAtilde(EacutePAumldAring~raquoiEcircfrac14cedilwfrac34UEumlsEacuteifrac14AEligwAtildeEcircIacuteIgrave(AtildeAacuteIcircAumlUEcircAElig5IumlETHEgraveIcirc~Atilde frac34TCcedil=AtildecedilAtildeEcirccedilsup1AcircnAtilde5raquoNtildeAacuteAumlZCcedilEgravefrac14cedil4EcircAElig=AacuteIcirc~AtildegAtildeEcircordm|Atilde5AEligEgraveAumlOgravefrac14draquosup1Igravefrac14dordm|AtildegOgraveregcedilAumldIgraveOacuteAacuteIcircAtildeIgrave(sup1raquosup1Igrave(sup1Ocircfrac14ZAacutesup1Auml|raquo(AumldOgravefrac14yAgravecedilsup1currenAacuteAtildecedilsup1Auml|raquo(Ccedilgsup1currenAacuteIcircAuml|raquo~frac12currenfrac34EacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircOtildeAacuteAtildecedilIgrave(AElig5IumlETHEgraveIcirc~Atilde(Igravefrac14sup1raquotimesOuml~AringcedilOumlPAuml|AEligwAtildeAumlOgraveEgravecedilAtilde5ordmdsup1AumldraquoEumlsEacuteifrac14AEligwAtildeEcircOslashfrac14dAgrave Aacutesup1Acirc|AtildeAgrave5Auml|raquoLAacuteAumldAringcedilAEligysup1AEligyAacuteAumliexclAacuteAumlIgravefrac14dUgravenAtilde9AacuteIcirc~Atildefrac14dAgraveAacutesup1AcircnAtilde$Agrave5AumldraquoLAacuteAuml|AringcedilgAtildeAcircnAuml|frac12AcircnAtildeampAringAEligwsup1raquo~ordmFsup1raquoOgraveuAumldcedilIgravefrac14ZAacutesup1Auml|raquoUacuteAumldraquoiexclAacuteIcirc~AtildecedilAtilde5ordm|sup1Auml|raquoAElig5iquestisup1raquoUacutefrac14dEcirc~Ecircsup1Aacutesup1AumldraquoiexclAacuteAumlNtildeAacuteIcircAtildeAgrave5frac12frac14dAEligwAEligwsup1Agravefrac14frac12WEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircsup1raquoOgraveregAumldcedilIgravefrac14Aacutesup1AumldraquoIuml

Ucirc Atilde$OumlcedilAumldOumlPAuml|AEligwAtildeyIcirc~Atilde cedilAtildeyfrac14ordm|Atilde5raquoAtildecedil4frac14dfrac12BUumlAringfrac12Atilde cedilsup1Yacutefrac14raquoUacuteOgraveregcedil4frac14Igrave(AtildeCcedilEgraveAumlcedilUgraveiexclOgraveuAumlcedilcedilAtildeordm|sup1Auml|raquoEumlEacute~frac14dAEligwAtildeEcircOtildefrac14AgraveAacutesup1AcircnAtildeyAgrave5Auml|raquoLAacuteAumldAringcedilAEligraquoifrac14Igrave(AtildeEcircIacuteTHORNampszligUumlagraveampaacuteOtildeacirc5atildePIuml Ucirc Atilde(sup1raquoLAacutewcedilAumlUEcircAringAgrave5Atildefrac14aumlordmdAtilde5raquo~Atilde cedil4frac14dfrac12EgraveAgravecedilsup1currenAacuteAtildecedilsup1Aumldraquoiquestesup1raquo~Agravefrac12Aring~Ecircsup1raquo~ordmaumlEacutePAumlAacuteIcirctimescedilAtilde5ordm|sup1AumldraquoEumlsEacuteifrac14AEligwAtildeEcircfrac14draquo~EcirctimesEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircTAacuteAtildecedilIgrave(AElig5iquestBCcedilgIcircAtildecedilAtildeAacuteIcircAtilde(sup1raquoOgraveuAumlcedilIgravefrac14Aacutesup1Auml|raquoaringAumldraquoaeligAacuteIcirc~Atilde(cedilAtilde5ordm|sup1Aumldraquo~AEligFsup1AEligNtildeAtilde5IgraveFEacutePAtildeEcircEcircAtildeEcircTsup1raquofrac14OgraveregAring~raquo~Agrave Aacutesup1AumldraquoIacuteraquo~frac14dIgrave(AtildeEcircccedilqEcircAtilde5AEligwAgravecedilsup1OumlAacuteAumlcedilegraveIumlBETHEgraveIcirc~AtildeAumlcedilsup1ordm|sup1raquoifrac14frac12sup1currenAacutefrac34aeligAumldOgrave-AacuteIcirc~sup1AEligampCcedilEgraveAumlcedilUgraveaumlsup1AEligampAacuteCcedilEgraveAumlOgraveuAuml|frac12Ecirc]IumlWeacuteWsup1currencedilAEligqAacutefrac12currenfrac34LiquestCcedil=AtildeOumlcedilAumldOumlPAuml|AEligwAtildeyAacuteAumlAringAEligwAtildeNtildeAEligwIcirc~frac14dOumlPAtilde0Auml|OumlAacutesup1Igrave(sup1Ocircfrac14ZAacutesup1Auml|raquoaumlOumlcedilsup1raquo~Agravesup1Oumlfrac12Atilde5AEligAacuteAumlAgrave5AumldIgrave(Ouml~AringAacuteAtildeampAacuteIcircAtildeNtildeAtildeAcircnAuml|frac12AringAacutesup1AumldraquoTAtilde5ecircUAring~frac14Aacutesup1Auml|raquoOtildeAumlOgraveAacuteIcirc~Atilde9frac14dAgrave Aacutesup1Acirc|AtildeAgrave5AumldraquoLAacuteAuml|AringcedilAacuteIcircifrac14ZAacute=Ccedilgsup1frac12frac12PIgravefrac14dUgravenAtildegsup1currenAacute-Atilde5AcircnAuml|frac12AcircnAtildefrac14dAEligOgraveRfrac14AEligqAacutegfrac14dAElig-OumlPAuml|AEligwAEligwsup1Eacute~frac12AtildeAacuteAumlCcedilEgravefrac14cedil4EcircAEligEgravefrac14yIgrave(sup1raquosup1IgraveNtildeAring~IgraveeumlAumlOgraveAacuteIcirc~AtildeAgravecedilsup1currenAacuteAtildecedilsup1Auml|raquoIumliatildeAtildeAgrave5Auml|raquo~Ecircfrac12currenfrac34LiquestLCcedilEgraveAtildeampAacute4frac14UgravenAtildesup1raquoLAacuteAumlfrac14Agrave5Agrave5Auml|AringraquoLAacuteAacuteIcirc~AtildeampAcircdfrac14cedilsup1frac14Aacutesup1AumldraquoAumldOgraveBAacuteIcirc~Atilde$EcircAtilde5AEligwAgravecedilsup1OumlAacuteAumlcedilAEliggEcircAringcedilsup1raquoordmAacuteIcirc~Atilde$OumlcedilAuml|Oumlifrac14ordmnfrac14ZAacutesup1AumldraquoaumlAumldOgraveAacuteIcirc~AtildeyAgrave5AringcedilAcircnAtilde|IumligraveiacuteraquoiEcircAtilde5AtildeEcirc]iquestPfrac14(EcircAtildeAEligwAgravecedilsup1OumlAacuteAumldcedilIgravefrac145frac34EacutePAtildeyordmdfrac12AumldEacuteifrac14frac12frac12currenfrac34aumlfrac14ZAacutewAacute4frac14dAgrave4Icirc~AtildeEcircAacuteAumlAacuteIcircAtildecedilAtilde5ordm|sup1AumldraquoFfrac14raquoiEcircAacuteIcircUAring~AElig5iquestPccedilscedilAtilde5ordm|sup1AumldraquoEumlEcircAtilde5OumlPAtilderaquoiEcircAtilderaquoUAacuteegraveIumlZigraveAacuteIcircifrac14Ouml~OumlPAtilde5raquoAEligCcedilgIcirc~Atilderaquo0AEligqAacute4frac14ZAacutesup1AEligqAacutesup1Agrave5frac14dfrac12LOgraveuAtildefrac14ZAacuteAringcedilAtilde5AEligBAumldOgrave~frac14gcedilAtilde5ordmdsup1Auml|raquoiquestfrac12sup1Ugrave|AtildeFOgraveuAumlcedilFAtildeicircfrac14Igrave(Ouml~frac12AtildeNtildeAacuteIcircAtilde(Igrave(Atildefrac14draquoTAumldcedilyAacuteIcirc~AtildeFAcirc|frac14Zcedilsup1Yacutefrac14raquo~Agrave5Atilde(AumlOgrave9frac14iexclcedilAtilde5ordmdsup1AumldraquoiquestBfrac14cedilAtilde(AEligwAtilde5frac12Atilde5Agrave AacuteAtildeEcircOslashfrac14dAElig0EcircAtildeAEligwAgravecedilsup1OumlAacuteAumldcedilAElig5IumlUcirc AtildeAEligwIcircAumlCcedilAacuteIcirc~frac14AacuteyAacuteIcirc~AtildeEcircAtilde5OumlPAtilde5raquoiEcircAtilde5raquo~AgraveAtilde(AumldOgraveAacuteIcirc~AtildeEcircAtilde5AEligwAgravecedilsup1OumlAacuteAumlcedilAEligNtildeAumldraquotimesAacuteIcirc~AtildecedilAtildeordm|sup1Auml|raquoOslashsup1raquoiEcircAring~Agrave5AtildeAEligNtildefrac14dEcirc~Ecircsup1Aacutesup1Aumldraquoifrac14dfrac12AacuteAtildecedilIgrave(AElig=sup1raquoAacuteIcirc~AtildeAtilde5AcircnAuml|frac12AringAacutesup1AumldraquoAtildeecircLAring~frac14Aacutesup1Auml|raquoAumldOgraveAacuteIcirc~Atildeampfrac14AgraveAacutesup1AcircnAtildeampAgrave5AumldraquoLAacuteAuml|Aringcedil=AacuteIcircifrac14AacuteEgraveIcircifrac14AcircnAtilderaquoAumldAacuteEacutePAtildeAtilde5raquoiexclOumlcedilAtilde5AcircUsup1Auml|Aring~AEligwfrac12currenfrac34Agrave5Auml|Igrave(OumlAringAacuteAtildeEcirc]IumlTHORNampszligUumlagraveampaacuteOtildeacircatildeIacuteordm|sup1AcircnAtilde5AEligFfrac14draquoaeligAtilde5frac14dAEligqfrac34aeligCcedilEgravefrac14frac34TAacuteAumlUacuteAacute4frac14dUgrave|AtildeAEligwAringAgrave Icircaeligfrac14OtildeEcircAtilde5OumlPAtilde5raquo~EcircAtilde5raquoAgrave5Atilde(sup1raquoLAacuteAumlaumlfrac14dAgrave5Agrave5AumldAring~raquoLAacutefrac14draquo~EcircAacuteAumlAgrave5AumldIgrave(Ouml~AringAacuteAtildeAacuteIcirc~AtildecedilAtilde5AEligwAring~frac12currenAacutesup1raquo~ordmfrac14dEcirc~Ecircsup1currenAacutesup1Auml|raquo~frac14dfrac12]AacuteAtildecedilIgrave(AElig5Iuml

UumlicircOumlPAtildecedilsup1Igrave(Atilde5raquoLAacute4frac14dfrac12LcedilAtilde5AEligwAringfrac12currenAacuteAElig-OumlPAumldsup1raquoLAacute-Auml|AringAacuteAacuteIcircAtildesup1Igrave(OumlPAumldcedilwAacute4frac14draquoAgrave5AtildeAumldOgravePAacuteIcircAtildegfrac14|EcircEcircsup1currenAacutesup1Auml|raquoifrac14frac12AacuteAtildecedilIgrave(AEligeAacuteAumlcedilAtilde5frac14dAgrave4Icircfrac14AacutewcedilAring~Atilde-Igrave(sup1raquosup1IgraveFAring~IgraveAumlOgraveiAacuteIcirc~Atilde-Agravecedilsup1currenAacuteAtildecedilsup1Auml|raquo(frac14raquoiEcircyAEligwAumlAacuteAumlAgraveAuml|raquoUAcircnAtildecedilordmdAtildeEgraveAuml|raquoNtildefrac14dAgrave5AgraveAringcedil4frac14AacuteAtildeEgravecedilAtildeAEligwAring~frac12currenAacuteAElig5IumldETHEgraveIcirc~AtildeEgraveAgrave5AumlZAcircdfrac14cedilsup1frac14draquoAgrave5AtildeIgravefrac14Aacutewcedilsup1currenicirc0EcircAtilde AacuteAtildecedilIgrave(sup1raquoifrac14draquoLAacutefrac14Ouml~OumlPAtildefrac14ZcedilAEligeAacuteAumlEacutePAtildefrac14Acirc|Atildecedilwfrac34$cedilAtilde5frac12Atilde5Acircdfrac14draquoLAacuteeAacuteAumlLAuml|frac12UOgraveuAumlcedil-IcircAuml|Igrave(Aumldordm|Atilde5raquoAtilde5Auml|AringAEligeAgrave5Auml|frac12AumldcedilcedilAtilde5ordmdsup1Aumldraquo~AEligAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquoIumlagrave9AEligampfrac14raquoIacuteAtildeicircfrac14Igrave(Ouml~frac12Atilde|iquestPsup1currenAacute$Icirc~frac14dAEligampEacutePAtilde5AtilderaquoIacuteAEligwAringAgrave5Agrave5Atilde5AEligwAEligqOgraveregAring~frac12frac12currenfrac34Tfrac14dOuml~Oumlfrac12sup1Atilde5EcircaumlAacuteAumlOgraveRfrac14Agrave5Atilde(EcircAtilde AacuteAtilde5AgraveAacutesup1Auml|raquoTsup1raquocedilAtildefrac14dfrac12AcircUsup1EcircAtilde5AumlAEligwAtilde5ecircUAringAtilde5raquo~AgraveAtilde5AElig5Iuml

iumlethUntildeograve0oacute sup3ocircWplusmn|otildeszligAtildeordm|sup1Auml|raquoEumlEacute~frac14dAEligwAtildeEcircaringfrac14AgraveAacutesup1AcircnAtildeiexclAgraveAuml|raquoLAacuteAuml|AringcedilAElig5iquestAEligwIcircifrac14dOumlPAtildeiexclAuml|OumlAacutesup1Igrave(sup1Ocircfrac14ZAacutesup1Auml|raquoiquestWAring~raquo~AEligwAringOumlPAtildecedilAcircUsup1AEligwAtildeEcircOslashAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoiquestUOgraveRfrac14dAgraveAtildeyEcircAtildeAacuteAtilde5Agrave Aacutesup1Aumldraquoiquest~Agrave5AumlZAcirc|frac14Zcedilsup1Yacutefrac14raquo~Agrave5Atilde$Igravefrac14ZAacutewcedilsup1currenicircEcircAtildeAacuteAtildecedilIgrave(sup1raquoifrac14raquoLAacuteIuml

Agraveoumloslashdividedugrave|ugraveUuacute 9v vwldpq4Uacute9vop r-g nncopy copyucirc x z|iB9aumlio UtclF9~rRt o| tug]pwldi v

uumlnyacute|thornLyuml13

$amp)(+-)013021+345627893lt=gt9A6CBDFEHGIKJLMONQPltRSJT2MgtI

b H QVUPJOslashbn[]O H []jhYOtildeNihZJaeligKEgrave[WFJLhYXiacutejf H [B[]fcY5Xiacute[PhUacuteQCZaringN[PJOslashNPO^UBQc^JL[YZJ[]ZOslashJUO H N H Qc[]OO^G QsObnJ H MeJ[PhQV[]QcONPf_WF[PhY` []O YZON`PJUYbacaumlNPYZYaJ H NPfd^VegfhSiSi]jeiexclNPO Jk H JUOYQVUPJhZJUYZJUNihbMMNPYaeligcent=JLJUO7KEgraveJLhYXiacute[PhlZOslashJU^ H MN H fRJUNP^Y H [B^Nm H [ H MJjYJ[SXon5hJ[]QR[]OWVcentNPYZJU^NPb H QVUPJTbn[]O H []jehYYp^q hQV[]QcONPfsfVmSeNPb H QVUPJ bn[]O H []jehdYWFJLhZJ centEgrave[]jO^NihYmVcentNPYJU^bZOslashJ H Me[W^Yoaq jecentEgraveJLh HNPO^rcOtilde[PhdOeKhZ[PcentY H e sSs fj^ G ON`PJUYtacaumlNPYZYaeligJ H NPfd^VeufhSiSi]jeycent-NPfcfR[B[]OYoa)v[]MeJUOOefhShfj[Phw[PJL[W^eJUYZQcbNPb H QVUPJbn[]O H []jehdYxa)vNPYZJUfcfRJUY J H NPfd^VeyfhSh]zSj`NihZJOacute^hQVUPJUOH [WFNih^Y H MeJ JU^[PJUY [SXOtildeNPOQZaringN[PJS^|MeJ JUP[]fcj H QR[]OJjN H Qc[]O QcYOslashbn[]ZOslashK-j H JU^XiacutehZ[]ZNaumlbnhQ H JLhQR[]O H MN H []OfVmtimesQsObLfcj^eJUYNaumlfR[WbLNPfQcOFX[PhlZ N H QR[]Otimes[]O H MeJ(centEgrave[]jO^NihYm[SX H MeJauml[Pcent~JUb HH [ YZJ[]ZOslashJUO H ^MeJt`PJmQc^eJUNOacute[SXOtildehZJ[]QR[]OWVcent-NPYJU^ NPb H QVUPJeumlbn[]O H []jehYehY H fVmKh[PK=[]YZJU^ centma)vF[]MJUOTJ H NPfd^VefhShS[]OXqNih^OefhShje]QsY H [OtildeQcO H hZ[B^jbnJ0N_[]fR[PcentNPfBQcOXiacute[PhlZaringN H QR[]O[]O H MeJIacute^QV=JLhZJUO H hZJ[]Qc[]OY H [ YJ[]ZOslashJUO H QcOaNP^^Q H QR[]O H [ H MeJIacutecent=[]jO^NihYmVcentNPYJU^QcOFX[PhlZ N H QR[]OOe H [_ZaringN`PJ H MeJNtildeNPb H QUPJNtildebn[]O H []jehJUP[]fUPJS^iexcl[WFJUPJLhePQ H QcYgO[ H9H hQVUWQcNPfH [timesbn[]ZOslashKj H J H MeJJUP[]fcj H QR[]OaringJBjN H QR[]O [SX H MeJiexclNPb H QVUPJUacutebn[]O H []jeh H MN H WQcfsfZaringN`PJQ H JUP[]fUPJ H [WFNih^Y0NyZ QcOQZtimesjFZ[SXNTbnhQ H JLhdQR[]OOslashQcObLfcj^QcO[centEgrave[ H MOslashhZJ[]QR[]OWVcent-NPYJU^NPO^centEgrave[]jO^NihYmVcentNPYJU^ H JLhlZaringY^JUbnJUO H fmSeZaringNPOm KNiKEgraveJLhY MNUPJeumlNP^^ehZJUYYJU^ H MQsYOslashKhZ[PcentfcJZ^0 hZJUWQRJW [SXH MeJUYZJrZaringJ H Me[B^Y QsY`KhZ[PKEgrave[]YJU^1QcO G JUb^ ^ G []ZOslashJ[SX H MeJUYZJxWF[PhY`WY^e[ Oe[ Hbn[]ZOslashK-j H J H MeJ H MeJL[PhZJ H QcbLNPfJkWKhZJUYZYZQc[]O[SX H MeJUPJUfR[BbLQ H mUPJUb H [PhOtilde[SX H MeJtimesNPb H QVUPJbn[]O H []jehcentj H H MeJm bdMe[[]YZJ H MeJ ^QcYKfcNPbnJZaringJUO H H MN H WQcfcf_ZaringN`PJ H MeJbnhQ H JnVhQc[]O ^JUbnhZJUNPYJa)vMN`hNicentEgrave[Ph H m J H NPf)^VefhShSvMeJUYONPj^ J H NPfd^VefhShSh]j^ qH MeJLhWF[PhY`WYKh[PK=[]YZJ H MeJIacutebn[]ZaringKj H N H QR[]O`[SX H MeJUPJUfR[BbLQ H mUPJUb H [PhOtildecentm hZJU^jbLQcOF[ H MeJWM[]fRJOacuteKh[PcentfRJZ H [ centEgrave[]jO^NihYm QcO H J[PhdNPfcYxa)MjNPO^0jQcfcfcJSeyfhShSgampNihN~V[]QR[]Y`NPO^JLhQsbMeJSefhShSh]j[Ph`centm jYQcO[ H MeJ7fRJUPJUfTYJ H ZOslashJ H Me[W^a G NSZ Y[]OJ H NPf)^Ve sSsSs Ov(MNPONPO^$JUYZJSe sSs fj^OMeJm H MeJUOjYZJ H MeJyNtildejfRJLhVAN[PhNPO[PJJBjN H QR[]OY H [ bn[]ZOslashKj H J H MJaumlJUP[]fcj H QR[]OJjN H Qc[]OO^iexcl[WFJUPJLhe H MeJOtildeQcOXiacute[PhlZaringN H QR[]O []O H MeJauml^Q=JLhJUO H hZJ[]QR[]OYe H MN H WNtildeJaumlbLNPfsfMeJLhZJn^eJUYbnhQRK H [Phlp [SX H MeJIacutebn[PhhZJUYKEgrave[]O^QcOF[aringhZJ[]QR[]OOeKZaringNmacent=Jy[]fR[PcentNPfcfVm N HH NPbdMeJU^ H [H MeJ(hJ[]QR[]OO^S5O^eJLJU^OslashQ H [WbLbLjehYXiacute[Ph0Y H N H QcY H QcbLNPf^eJUYZbnhdQRK H [PhYampYZjbdMaringNPY H MeJ_ZOslashJUNPOOeH MeJUiNihQcNPObnJ[Ph H MJMQcY H [S[PhNSZ [SX H MeJ hZJ[]QR[]O^Q5O bLNPYJ [SXUacutejOYZjK=JLhlUBQcYZJU^YJ[]ZaringJUO H N H QR[]Oe H MeJUYZJ ^eJUYZbnhdQRK H [PhYIacuteNihZJ hZJnVJUiNPfcjN H JU^JUNPbM H QZaringJ H MeJ NPb H QVUPJbn[]O H []jehJUP[]fVUPJUYiexclNPO^aY[ H MeJmU~Nihlm^jehQcO[ H MeJIacuteKhZ[PKN[]N H Qc[]O[SX H MeJtimesNPb H QVUPJbn[]O H []jeh^yhZJUWQR[]jYWF[PhY`BYIacute[]O7hZJ[]QR[]OWVcent-NPYJU^NPb H QUPJbn[]O H []jehYaelig^e[eumlOe[ HIacuteH N`PJQcO H [ NPbLbn[]jO HaumlH MQcYKEgrave[]YZYZQRcent-fRJyUiNihQcN H QR[]Oeuml[SX H MeJaring^eJUYbnhQRK H [PhY H [bn[]ZOslashK-j H J H MeJJUP[]fcj H QR[]OJjN H QR[]O[SX H MeJTNPb H QVUPJIacutebn[]O H []jeh^ JTKhZ[PKEgrave[]YJaumlMeJLhZJaumlN[PJUOeJLhNPfNtildejfRJLhQcNPOoXiacutehNSZOslashJWF[PhY`X[PhhZJ[]QR[]OWVcentNPYZJU^NPb|V

H QVUPJbn[]O H []jehY`ONSZOslashJU^ iexcl_0 Uacute_wcent G aiexclJXiacute[PhlZaringNicent-fRJpoundJ[]QR[]OYa^ehQUPJUO centm NPONtildejfRJLhQcNPO iexclbLbLjhN H JT_aQsOQZaringQVcurrenUN H Qc[]O _aJ H Me[W^X[Ph G J[]ZOslashJUO H N H QR[]Ogtj^gtMeJiexclZaringNPQcObn[]O H hQRcentj H QR[]O[SXy[]jh_WF[PhY`aQcY H [centjQcfs^ N H MJL[PhZJ H QcbLNPfQXhdNSZOslashJWNtilde[Phl`centNPYJU^`[]O

uumlnyacute|thornLyuml13

yenKbrvbarsect =4 acirc $ YZMNiK=JT[PK H QZaringQVcurrenUN H Qc[]OKhQsObLQRKfRJUY^ Q H M YZjbM`NPO`NiKKhZ[]NPbMegtWFJIacutebLNPO hZJUNP^QsfVmH N`PJ7QcO H [ NPbLbn[]jO H`H MeJpoundUiNihQcN H QR[]O [SX H MJOacute^eJUYZbnhQcK H [PhY H MN H NihJpound[]fR[PcentNPfcfmN HH NPbdMeJU^ H [ H MeJUacuteJUP[]fVUWQcO[timeshZJ[]QR[]OYgaqbLNPfsfRJU^ hZJ[]QR[]OWV4^eJLKEgraveJUO^JUO H ^eJUYZbnhQcK H [PhYj^ JOtildeYZMe[W H MN HH MeJiexclU~NihQsN H QR[]O [SX9hZJ[]QR[]OWV4^eJLKEgraveJUO^JUO H ^eJUYZbnhQcK H [PhYF^jehQcOF[ H MeJJUP[]fcj H QR[]OOtilde[SX H MeJ0NPb H QUPJFbn[]O H []jehampQcO^jbnJUY9NP^^Q H QR[]ONPf H JLhlZaringY9QsO H MeJyJUP[]fcj H QR[]OJBjN H QR[]Oeuml[SX H MeJOslashNPb H QVUPJ bn[]O H []jeh^MeJUYZJaeligNP^^Q H QR[]ONPf H JLhlZaringYOtildeMNUPJaringOe[ H centEgraveJLJUOKhJUBQR[]jYZfVm bn[]ZOslashK-j H JU^uml^

G []ZOslashJNtildeJkeNSZOslashKfcJUY[SX-jOYZjeKEgraveJLhYUWQcYJU^TYKN H QcNPfBYJ[]ZOslashJUO H N H QR[]OOePjYZQsO[ H MeJcopyUiNihQuVNPObnJ [SX H MJOslashhZJ[]QR[]OYe9KhZ[UPJ H MeJ QZOslashKEgrave[Ph H NPObnJOslash[SX H MeJ NP^^Q H QR[]ONPf H JLhlZaringYordfXiacute[PhH MeJ(NPbLbLjehdNPbmIacute[SX=YJ[]ZOslashJUO H N H QR[]OOslashhZJUYZjf H Y^MeJNP^^Q H QR[]ONPf H JLhlZ YZIacutejY H O[ H centEgraveJXiacute[PhY[P[ HH JUO QcO [Ph^eJLh H [laquo[PJ HH MeJ_XqNPY H JUY H NPb H QUPJUacutebn[]O H []jeh(JUP[]fcj H QR[]O H [WNih^Y(NZaringQsOQZtimesjFZoslash[SX H MeJaumlbnhdQ H JLhQR[]OO^not QcONPfcfVmSe H MeJbn[UiNihQcNPObnJbZ N H hQk ^eJ H JLhZaringQcONPO H NiKKEgraveJUNihY H [ cent=JNrUPJLhYmhZJUfcJU~NPO HH [B[]fOX[PhMe[]ZOslash[S[PJUOeJL[]jYbn[]fR[PhiexclhZJ[]QR[]OYYZJ[]ZOslashJUO H N H Qc[]OO^gtMQcY H [[]fQcYYZjbLbnJUYZYXqjfcfVm NiKKfcQRJU^ H [XqNPbnJIacute^eJ H JUb H Qc[]O []OhZJUNPfUBQc^JL[aringYJjJUObnJUY^MeJa^eJ H NPQcfcJU^ [UPJLhYUBQcJW []O hZJ[]QR[]OeVcentNPYJU^ NiKKhZ[]NPbMJUY QsYaringKhZ[PKEgrave[]YJU^ QcOG JUb^ eshyWMQcfRJOslash[]jeh0jfRJLhdQcNPOumlXiacutehNSZOslashJWF[PhY`uml5_0 Uacute_ cent G QcYauml^JUYZbnhQRcentEgraveJU^QcO G JUb^^MQcY|XhdNSZOslashJWNtilde[Phl` QcY H MeJUONiKKfcQRJU^ H [ H MJjOYZjeKEgraveJLhYUWQcYJU^aringYJ[]ZaringJUO H N H QR[]O[SXMe[]Zaring[S[PJUOeJL[]jYIacutehZJ[]QR[]OYIacutejYZQcO[ H MJregUiNihQcNPObnJ QsO G JUb^lt`NPO^ H MeJ bn[U~NihQsNPObnJZaringN H hdQk ^eJ H JLhZaringQcONPO H QcO G JUb^gtmacr^

degEplusmnyLMgtsup2Qsup32acutemicromiddotparaJcedilJacutemicrosup1acuteIKJordmcedilIltN paraJcedilJacutewMraquo Jfrac14ltacutefrac34frac12oLJMgtIiquest acuteAgravegtT2MgtIAacutelAcirclaquocedilFAtildeacuteNAumlfrac12R]JT13Aringgtacutesup1AEligMgtIKJMgtPltLAtildeJUbnJUO H fVmSeZaringNPOmNPj H Me[PhdYtimesMNUPJKhZ[PKEgrave[]YJU^NwWNm[SXNP^^QcOF[hZJ[]QR[]OWVcent-NPYJU^H JLhlZ YQcO H MJTJUP[]fcj H Qc[]O JjN H QR[]Ow[P[UPJLhOQcOF[ NPb H QVUPJtimesbn[]O H []jehdY Xiacute[PhiexclYJ[]ZaringJUOWVH N H QR[]O QsYZYZjeJUY^QMeJ KhZ[PcentfcJZ Y H N H JZaringJUO H QsYhY H KhZJUYJUO H JU^NPO^ H MeJUO H MeJY H N H JnV[SXV H MeJnV4Nih H QcY^J H NPQcfRJU^O^ ^f^bCcedil_EgraveKEacuteltEcircgtEumlIgraveFIacuteIumlIcircETHOgraveNtildeFETHIgraveFIacute5IgraveFOacuteETHiexclJLhZJSeOcircWFJa^eJUYZbnhdQRcentEgraveJ H MJ JjN H Qc[]OYaringNP^^ehJUYZYZQcO[ H MeJ`QcYZYZjeJ[SX H MeJYJ[]ZaringJUOWVH N H QR[]O[SX NPOQCZaringN[PJxOtilde QsO H WNtilde[ hZJ[]Qc[]OY^iexclgJ H jYeuml^eJOeJrOumlcopytimesOslash H MeJhJ[]QR[]Obn[]O H NPQcOQcOF[ H MeJ[Pcent~5JUb H Y H [YZJ[]ZOslashJUO H NPO^ OumluUgraveUcircUacuteUuml H MeJeumlcentNPbY`[PhZ[]jO^ hJ[]QR[]OO^MJUQRhFbn[]ZregZOslash[]O centEgrave[]jO^NihlmaringQcY(Oe[ H JU^YacuteOcirc^F9J H jY(bn[]OYZQc^JLhNPOaNPb H QVUPJaumlbn[]O H []jhYacuteadTHORN]szligYagravejaacuteacirca2atildeadTHORN]szligYagravejszligaumlOadTHORNOgraveszligYagravejje]WMeJLhZJuTHORNuZaringNmTcentEgraveJ H MeJ(NihbNtildefcJUO[ H Mtimes[SX H MeJbn[]O H []jhNPO^umlagraveQsYOtildeNPOJUP[]fcj H QR[]OeumlK-NihNSZOslashJ H JLh^shyMeJOslashNPb H QVUPJ bn[]O H []jehIacuteNiKKhZ[]NPbMpoundZ N`PJUYYacuteadTHORN]szligYagravejJUP[]fVUPJ H MehZ[]j[]M H MeJ|Xiacute[]fcfR[WQcO[K-Nih H QcNPf^Q=JLhJUO H QcNPf]JjN H Qc[]Ooa5copyjaringaelig YacuteadTHORNOgraveszligYagravejaelig agrave aacuteegraveccedilyeacuteecircaacuteegraveeuml WQ H MigraveYacuteaagraveregaacute s j|aacuteegraveYacuteshyiacute afjWMJLhZJfrac34YacuteltiacuteaQcY NPO QsOQ H QcNPfbLjhYUPJ ^JOeJU^centm H MeJeumljYJLhNPO^egraveeacute H MeJ QsOOgraveWNih^Oe[PhZaringNPfUPJUb H [PhOtilde[SX|YacuteadTHORN]szligYagravej^MeJUPJUfR[WbLQ H mfrac34ccedil QcY^eJLhQUPJU^wXiacutehZ[]Z NZaringQsOQZaringQVcurrenUQsO[

uumlnyacute|thornLyuml13 2

$amp)(+-)013021+345627893lt=gt9A6CBbnhQ H JLhQR[]O NPO^ QsY bdMe[]YJUO Y[ H MN H H MeJ YZ[]fcj H QR[]OicircYacuteaUcirciumlVszligYagravej bn[]OUPJLhY[PJUY H [ H MeJ[Pcent~JUb H centEgrave[]jO^NihYmSeYacuteaUcirciumlethjeNPY_agraveregntildeoacuteograveicirc^5ObLfcNPYYZQcbLNPfcentEgrave[]jO^NihYmVcent-NPYJU^ZOslashJ H Me[W^Ya)v(NPYJUfcfRJUY(J H NPfd^VeshyfhSh]zg_`NPfcfcNP^QJ H NPfd^VelaquofhShSmacr]je H MeJsup1UPJUfc[BbLQ H m XqjOb H QR[]OHccedil QsY`^eJLhdQVUPJU^XiacutehZ[]ZCNPOJUOeJLhY[Smacircocirc^eJLKEgraveJUO^QcO[T[]O H MeJOtildecentEgrave[]jO^NihlmYacuteOcircaring

ocircOgraveotilde UgraveUacute OslashoumlYdivideloslashugrave aYacuteQj|aacute uacuteucircyacuteuumlgtthorn otilde)yuml THORN a jWMJLhZJ_uuml thorn otilde)yuml QcYNtildeNyXqjOb H Qc[]O ^eJUYZbnhdQRcentQcO[ H MeJiexclcentEgrave[]jO^NihYmtimes[SX H MeJiexcl[Pcent~JUb H ^vNPYZJUfcfRJUYJ H NPf_a)vNPYJUfsfRJUYaumlJ H NPfd^VefhSh]zSjIacutebM[[]YJ H MeJregXqjOb H Qc[]Obuuml thorn otilde)yuml aacuteKa ordmOtilde jyWMeJLhZJtaring s szliggograve8ntilde Otilde 13 QcYiexclN Y H hdQcb H fVm ^eJUbnhZJUNPYZQsO[XqjOb H Qc[]OaY[ H MN H a]juntilde s NPYgntildeoacuteograveicirc^SMeJFbn[]ZOslashKj H N H Qc[]OIacute[SX H MeJUPJUfc[BbLQ H mccedilicircXiacutehZ[]Z H MJFbnhQ H JLhQR[]Oa j9QsYOe[WWFJUfcfO`WOe[WiexclOsup1a)vNPYJUfsfRJUYJ H NPfd^VeltfhSh]zSjiexclNPO^`fRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[OslashJUP[]fcj H QR[]OJBjN H QR[]OOaring aelig Yacuteaelig agrave aacuteFuuml thorn otilde)yuml uuml thorn otilde)yuml eacute13eacute ad]jWMJLhZJ QcY H MeJaumlbLjehYUiN H jehZJOtilde[SXYacuteaagravej^iexcl[WFJUPJLhecent=[ H MaringhZJ[]QR[]OYOcircOumlcopytimesOslashtimesNPO^Ouml UgraveUcircUacuteUuml ZaringNmtimesMNUPJiexcl^QV=JLhZJUO H KhZ[PKEgraveJLh H QRJUYamp[SXH Jk H jehZJSeiMe[]ZOslash[S[PJUOeJUQ H mtimes[PhZaring[ H QR[]O H MN H bLNPOOe[ H cent=JQcObLfsj^eJU^aumlQcO H MeJXiacutejOb H QR[]Ouuml thorn otilde)yuml ^ G [ H MeJoZaringNPQcOOacuteKjehZKEgrave[]YJaring[SX(hJ[]QR[]OWVcentNPYJU^7NiKKh[]NPbMeJUYaeligQcY H [ QcO H hZ[W^jbnJYZjbM Nx[]fR[PcentNPfUacuteQcOXiacute[PhlZaringN H QR[]O QcO H MeJ UPJUfR[WbLQ H m XiacutejOb H QR[]Oicircccedil QcO NP^^Q H QR[]O H [H MeJeumlfR[WbLNPfiexclQsOX[PhZaringN H QR[]OKhZ[UWQc^eJU^ centm cent=[]jO^NihYmVcentNPYJU^ H JLhlZaringY^copyMeJZaringNPQcOBjeJUY H QR[]OeiQsOIacute[Phd^eJLh H [~jY H QVX2m H MeJQcO H hZ[W^jb H QR[]OIacute[SX H MJUYJ(hZJ[]QR[]O H JLhlZ Ye]QcY H [^eJLhdQVUPJ H MeJuUPJUfR[WbLQ H mlaquoXqjOb H QR[]OlaquoXiacutehZ[]ZNPOOslashJUOeJLhl[SmS^Ograve9[IacuteYJ H Nordf[PJUOeJLhNPfFXhNSZaringJWNtilde[PhY`NPO^ H [Oslashbn[]ZOslashKNihZJ H MeJUacute^QEgraveJLhZJUO H NiKKhZ[]NPbMeJUYFKh[PK=[]YZJU^ QcO H MeJUacutefcQ H JLhN H jhZJSeWFJOe[W QcO H hZ[W^jbnJ Nw[PJUOeJLhNPfNtildebnhQ H JLhQR[]ObXh[]ZigraveWMQsbM H MeJUPJUfR[WbLQ H mpoundZaringN[]OQ H j^eJZaringNmcent=JOtilde^eJLhdQVUPJU^Oaring

ocircOcircadOumlutimes OslashgtszliglOuml UgraveUcircUacuteUuml szligYYacuteQjbaacute uumlgtthorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszliglOuml UgraveUcircUacuteUuml j atilde auml $ uumlgtthorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashFj atilde aumlamp uacuteucirc uumlgtthorn otilde)yuml a2atildeltszligaumlj THORN a2jWMJLhZJyuuml thorn UgraveUcircUacuteUuml yuml QcYONSZaringJU^ H MeJwn^JUYZbnhQRK H [PhpOslash[SX H MeJaumlcentNPbl`[PhZ[]jO^ hZJ[]QR[]Oegtuuml thorn timesOslash yumlH MeJsup1n^eJUYZbnhQRK H [Phlp[SX H MeJaring[Pcent~JUb H hZJ[]Qc[]ONPO^buuml thorn otilde)yuml H MeJsup1n^eJUYZbnhQRK H [Phlp [SX H MeJbn[]O H []jeh^MJOslashhZJ[]QR[]O^eJUYZbnhdQRK H [PhYordfZaringNm`centEgraveJlaquo[]fR[PcentNPfsfVm`N HH NPbdMeJU^ H [ H MJUQRhOtildehZJnVYKEgraveJUb H QVUPJOslashhJ[]QR[]OYeOumlcopytimesOslasha[PhOuml UgraveUcircUacuteUuml e9NPO^Y[^eJLKEgraveJUO^euml[]O H MeJZ aqQVXFY[e H MeJmNihZJbLNPfcfcJU^pihJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhYYpOgravej^ H MNiKK=JUOYshyWMJUOtimesY H N H QcY H QcbLNPfXiacuteJUN~VH jehJUYg[SXNhJ[]QR[]OTfcQ`PJSeXiacute[Ph9JkeNSZOslashKfRJSe H MeJZOslashJUNPOIacute[Ph H MJ|UiNihQcNPObnJSe~NihZJNtildeYJUfcJUb H JU^NPY(hJ[]QR[]O^eJUYZbnhdQRK H [PhY^MeJ`K-jehZKEgrave[]YJ [SXIacuteNPfcfhZJ[]QR[]OeVcentNPYJU^ NPb H QVUPJOacutebn[]O H []jehYwZOslashJ H Me[W^YQcY H MeJUOH [poundZaringN`PJ H MeJaNPb H QVUPJabn[]O H []jeh JUP[]fVUPJ H [WNih^Y NeumlKNih H Q H Qc[]O[SX H MeJ`QZaringN[PJSeadOumluUgraveUcircUacuteUumlszliglOuml timesOslash szligYYacuteQje H MN H ZaringQcOQZ QVcurrenLJUY H MeJTbnhQ H JLhdQR[]Opounda2j^

uumlnyacute|thornLyuml13 (

yenKbrvbarsect =4 acirc $ macr ^ ^)+ltIgraveFEgrave-+13IgraveigraveEacute10Igrave22IcircETH313Oacute4 EgraveOIgrave54EacuteshyOacute76EcircgtNtildeltIcircIgrave8 Iacute_IgraveETH39ltEacute8QIcircshyIcirclt2Oacute4Ntilde=KETH3gt+ltIgrave=EacuteshyOacuteshyETHEacute1EgraveIcirc MQcfRJiexclNPONPfVmWYZQcO[aumlhJ[]QR[]OWVcentNPYJU^ NPb H QVUPJUacutebn[]O H []jhYNiKKhZ[]NPbdMeJUYeWNtildeJ5ZaringNm bn[]OWVYZQs^eJLh H MehZJLJyZaringNPQsO QZOslashKEgrave[Ph H NPO H K=[]QsO H Yaring MN H NihJ H MeJT^QV=JLhZJUO H ^eJUYZbnhdQRK H [PhY(jYZJU^BA iexcl[WQcY^eJLhdQVUPJU^ H MeJaumlJUP[]fcj H QR[]O JBjN H QR[]OXiacutehZ[]Z H MeJaumlbnhdQ H JLhQR[]OCA iexcl[WQcYQZaringKfRJZOslashJUO H JU^ H MeJaumlNPb H QVUPJtimesbn[]O H []jehANtildeQR[]OeJLJLhcopyWF[PhY`BY(MNUPJaumlcentEgraveJLJUO KhZ[PKEgrave[]YJU^ centma)vF[]MeJUOJ H NPfd^VefhShSgt[]OXqNih^OefhShj^5ONPOJUNihdfVmpoundWF[PhY`gte|vF[]MJUOJ H NPfd^ua)vF[]MeJUO7J H NPfd^VeufhShS]jIacuteKhZJUYZJUO H NYZjhYXiacuteNPbnJ$hJUbn[]OY H hjb H Qc[]OgZOslashJ H Me[W^TjYQcO[hZJ[]QR[]OWVcent-NPYJU^aumlNPb H QVUPJFbn[]O H []jehdY^MJmbn[]ZOslashK-j H J H MeJUPJUfR[WbLQ H mpoundUPJUb H [Phaelig[SXNPO7NPb H QVUPJ bn[]O H []jhXiacutehZ[]Z H MeJZaringQsOQZaringQVcurrenUN~VH QR[]O[SXampNOslashbnhQ H JLhdQR[]OQcObLfcj^QcO[aumlhZJ[]Qc[]OWVcentNPYJU^ H JLhZaringY^ Oe[ H MeJLh(KQR[]OJLJLhuWNtilde[PhY`MNPYaumlcent=JLJUOK=JLhlX[PhlZaringJU^QcO a[]OXqNih^OeOcircfhShj^iexclJ NPYZYJUYZYZJUY H MN HTH MeJUPJUfR[WbLQ H mXqjOb H QR[]O YZMe[]jfc^aringcent=JKhZ[PKEgrave[Ph H QR[]ONPf H [ H MeJUacute^QEgraveJLhZJUObnJ[SXgY H N H QcY H QcbLNPfXJUN H jehJUYaringccedilaacute uuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml eOgraveWMJLhZJ_uuml thorn timesOslash yuml QsY0NaumlY H N H QsY H QcbLNPfKZOslash[B^JUfe[SX H MeJ[Pcent~JUb H hJ[]QR[]ONPO^tuuml thorn UgraveUcircUacuteUuml yuml N Y H N H QcY H QcbLNPfshyZOslash[B^JUfEgrave[SX H MJaumlcentNPbY`[PhZ[]jO^ hZJ[]QR[]OO^

G []ZOslashJaumlNiKKhZ[]NPbdMeJUY(Kh[PK=[]YZJ H [ bn[]ZOslashKj H J H MeJOtildeJUP[]fsj H QR[]OJBjN H QR[]O [SX H MeJNPb H QVUPJtimesbn[]O H []jhUacutejYZQcO[ H MeJ hZJLJUOWVAiexclQRJZaringNPOO H MeJL[PhZJZ NPO^wNtildejfRJLhVAN[PhNPO[PJJBjN H QR[]OY^OEgraveMBjeumlNPO^frac340jQcfcfcJoa)EgraveMBjNPO^frac340jQcfcfcJSeltfhShS]jKhJUYJUO H NY H N H QcY H QcbLNPfXiacutehNSZOslashJWF[PhY`poundXiacute[PhOslashQZaringN[PJYJ[]ZOslashJUO H N H QR[]OjYZQsO[aNPONPfV[P[PhQ H MZbLNPfsfRJU^n5hJ[]QR[]Obn[]ZOslashKEgraveJ H Q H Qc[]OFp^MeJm^eJLhQVUPJ H MeJeumlNPb H QVUPJbn[]O H []jehJUP[]fcj H QR[]O JBjN H QR[]O centmZaringQsOQZaringQVcurrenUQsO[aringNo[PJUOeJLhNPfcQVcurrenLJU^XNmPJUYDi_wiexcl bnhQ H JLhdQR[]O`QsOYKQRhJU^centm H MeJaring_`jFZaeligVXiacute[Ph^OacuteNPO^ G MNPMJUOeJLhY[Smicircaw_ajFZX[Ph^7NPO^ G MNPMOefhSiSh]j^OcircMeJmKhZ[PKEgrave[]YJ H MeJXiacute[]fcfR[WQcO[aelig^eJUYZbnhQcK H [PhYcopyXiacute[Ph H MeJaumlYJ[]ZaringJUO H N H QR[]O`[SXampY H QcfcfQZ N[PJUYaringEFG FH uuml thorn UgraveUcircUacuteUuml yuml aacute JILK NMregaOtildeKa2atildeshyszligaumlFjPORQ UgraveUcircUacuteUuml juuml thorn timesOslash yuml aacute JILK NMregaOtildeKa2atildeshyszligaumlFjPORQtimesOslashjuuml thorn otilde)yuml aacuteTS admacr]jWMJLhZJUMrega)j9QcY9NiexclKhZ[Pcent-NicentQcfcQ H m^JUOYZQ H m5XqjOb H Qc[]OOeQshytimesNihZJ H MJNtildeKNihdNSZOslashJ H JLhY[SX H MeJ^QsY H hQRcentj H QR[]OX[Ph H MeJaelighZJ[]Qc[]OBVNPO^CSQcYUacuteN KEgrave[]YZQ H QUPJIacutebn[]OY H NPO H ^ not [PhaumlQcfsfcjY H hN~VH QR[]OYe H MeJNPj H Me[PhdYybn[]OYZQc^JLh NPjYZYZQsNPOOslash^QcY H hQccentj H QR[]OYbMNihdNPb H JLhQVcurrenLJU^ centm H WF[KNihdNSZOslashJ H JLhYe H MeJZaringJUNPOIacuteNPO^ H MeJ|UiNihQcNPObnJS^ q ObnJ H MeJWQtimeskWJU^Oe H MeJ0JUP[]fcj H QR[]OJBjN H QR[]O[SXNPONPb H QVUPJ bn[]O H []jhaeligQsYIacutebn[]ZOslashK-j H JU^NPO^^QchZJUb H fVm^eJLhQUPJU^poundXiacutehZ[]ZH MeJbnhdQ H JLhQR[]OO^SMJbLfcNPYZYZQcbLNPfe^JLhQVUiN H QVUPJ([SX H MJ(cent=[]jO^NihYmVcentNPYJU^ H JLhlZ fRJUNP^YH [ H MeJtNtildejbLfcQc^QcNPOpound[PJL[]ZOslashJ H hdQcbMeJUN HYX [Wg^OcircMeJ ^eJLhdQVU~N H QUPJ [SXiexclhZJ[]QR[]OWVcent-NPYJU^H JLhlZ Y QcY H MJUOKEgraveJLhYXiacute[PhlZOslashJU^jYQcO[ H MeJ hZJLJUOWVAQcJZaringNPOO H MeJL[PhJZ NPO^ H MeJNtildejfRJLhVAN[PhNPO[PJaJBjN H QR[]OY^5O^eJLJU^e H MeJeumlbn[]ZOslashKj H N H Qc[]O [SX H MeJaJUP[]fcj H QR[]OJBjN H QR[]OQsYK=JLhlX[PhlZaringJU^ QcO H MehZJLJyZ NPQcO Y H JLKYaringf^Q9hNPOYX[PhZaringN H QR[]Oeuml[SX^e[]ZaringNPQcOQcO H J[PhNPfcYTQcO H [ centEgrave[]jO^NihYmaQcO H J[PhNPfcYTjYZQcO[

H MeJ hZJLJUOeVAQRJZaringNPOO H MeJL[PhZJZ^

uumlnyacute|thornLyuml13

$amp)(+-)013021+345627893lt=gt9A6CB ^vF[]ZOslashKj H N H Qc[]O [SX H MJy0jfcJLhVA9N[PhNPOF[PJOtildeJjN H Qc[]OY^ltO H hZ[W^jb H QR[]O[SXiexclNeuml^mWONSZaringQcbLNPfFYZbdMeJZOslashJ QcO H MeJ0jfRJLhZVA9N[PhNPO[PJ JBjN~V

H QR[]OYQcO [Ph^eJLh H [aeligbn[]ZaringKj H J H MeJ5UPJUfR[BbLQ H mregUPJUb H [Ph[SX H MeJOtildeNPb H QVUPJOtildebn[]O H []jh^MJ UPJUfR[WbLQ H mXiacutejOb H QR[]OoccedilQsY H MJUO bn[]ZaringKj H JU^NPO^Q H fcJUNP^Y H [ H MJ5Xiacute[]fcfR[WQcO[JUP[]fcj H QR[]OJjN H QR[]OOaring aelig Yacuteaelig agrave aacuteacircaduuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml S jeacute ad]jWMJLhZJ QsY H MeJ bLjehlU~N H jehJaring[SXuYacuteaagravej^5O[Ph^eJLh H [aQZOslashK-fRJZOslashJUO HOtildeH MQcYordf|iexcl eNN[PhNPO[]QcNPOXiacute[PhlZtimesjfcN H QR[]O QsY(jYJU^O^JUbnJUO H fmSeampNihN[]Qc[]YNPO^frac34JLhQcbdMeJaNihdN[]QR[]YOtildeNPO^iexclJLhdQcbMeJSefhShSh]jegMNUPJKh[PK=[]YZJU^ NPOJk H JUOYZQc[]O[SX H MeJordfWF[PhY` [SXOcircEgraveMBjNPO^o0jQcfcfcJcentm QZOslashKhZ[UWQcO[ H MeJ^eJUYbnhQRK H [Phaelig[SX H MJbn[]O H []jeh QcO7[Ph^eJLh H [QcObn[PhK=[PhdN H J H MJQCZaringN[PJ[PhNP^QRJUO HNPYiexclQcO[PJL[W^eJUYZQcbIacuteNPb H QVUPJtimesbn[]O H []jehY^gtMeJTJUP[]fcj H QR[]OaJjN H Qc[]OaQcYiexclQZOslashKfRJZaringJUO H JU^jYQcO[ H MeJ(fRJUPJUfBYJ H ZOslashJ H Me[W^aeligQcO H hZ[B^jbnJU^aumlcentm q YZMJLhNPO^ G J H MQcNPOoa q YZMeJLh$NPO^G J H MQcNPOOeltfhSiSi_aNPfcfsNP^Q9J H NPfd^VefhShSmacr G J H MQcNPOOeltfhShS]j^ UPJLhYm QcO H JLhJUY H QcO[KNih H [SX H MQsYyWF[PhY`Oacutebn[]ObnJLhdOY H MeJ QsO H hZ[W^jb H Qc[]O[SXY[]ZOslashJ^eJUYZbnhdQRK H [PhYlaquouuml thorn timesOslash yumlNPO^uuml thorn UgraveUcircUacuteUuml yuml X[PhNiKKfcQsbLN H QR[]OYfcQV`PJ H Jk H jehZJFYJ[]ZOslashJUO H N H QR[]OtimesNPO^gZOslash[UBQcOF[[Pcent~JUb H Y^eJ H JUb H Qc[]OO^

G []ZOslashJT[ H MeJLhUacuteNiKKh[]NPbMeJUYlaquoa)vMN`BhNicentEgrave[Ph H mJ H NPfd^VeltfhShSvMeJUYONPj^ J H NPfd^VefhShSh]j9KhZ[PKEgrave[]YJ H [OtildebMe[B[]YJ(N H JUNPbdMOslashY H JLK H MeJ^QcYKfsNPbnJZOslashJUO H [SX H MeJNPb H QVUPJ(bn[]OWVH []jeh H MN H ZaringN`PJUY H MeJybnhQ H JLhQc[]OOtilde^eJUbnhZJUNPYJS^SvMN`BhNicentEgrave[Ph H miexclJ H NPfd^a)vMN`hNicentEgrave[Ph H mJ H NPfd^VecopyfhShS]jtimesQcO H h[B^jbnJ N`hZJ[]QR[]OWVcentNPYZJU^7NiKKhZ[]NPbMxXiacute[Ph H MeJ YZJ[]ZOslashJUO H N H Qc[]O[SXQZOslashJU^QcbLNPfQZ N[PJUY^ iexclYQcOeKj H [SX H MJUQRhNPfV[P[PhQ H MZe H MeJm bn[]OYQc^eJLh(centEgrave[ H M H MeJNPb H jNPf9QZaringN[PJgOtilde NPO^ H MeJOtildehZJ[]QR[]OWV4bLfsNPYZYZQVJU^ QCZaringN[PJgOtildeoslash^FMeJOtildebLfcNPYZYZQVJU^ QZaringN[PJOtilde oslash QcYiexclbn[]ZOslashKj H JU^`centmwZaringNkeQZaringQVcurrenUQcOF[ H MeJTKEgrave[]Y H JLhQc[Ph^QsY H hQRcentj H QR[]O [SX H MeJThJ[]QR[]OfcNicentEgraveJUfcY[]QUPJUO H MeJQcO H JUOYZQ H maeligQZaringN[PJS^MeJUQRh0hZJ[]QR[]O H JLhlZ JUOXiacute[PhbnJUY H MJcentEgrave[]jO^WVNihYm H [JUObLfc[]YJaringNYZQcOF[]fRJaelighZJ[]QR[]OQcOumlOtildeoslash^MeJaring^JUYZbnhQRK H [PhdYOtildeNihZJ H MeJXiacute[]fcfR[WQcO[WQ H M H MeJauml^QEgraveJLhZJUObnJ H MN HH MeJmWFNPO HH [regZaringNkeQZaringQcurrenLJ H MJTbnhQ H JLhQc[]OocircaringEFG FH uuml thorn UgraveUacuteUuml yuml aacute[Z] Otilde oslash a2atildeltszligaumljuuml thorn times Oslash yuml aacute suuml thorn otilde)yuml aacute[Z cent Otilde_^Ogravea2atildeshyszligaumlFj a)zSjWMJLhZJ]Z NPO^`Z cent NihZJ H WNtilde[7KEgrave[]YZQ H QVUPJbn[]OY H NPO H YNPO^ Otilde_^aQcY H MeJfrac34[PhNP^QRJUO HQZ N[PJS^ KhQc[PhYMNiKEgraveJ H JLhZDQcY(NPfcY[OslashNP^^eJU^ H [ H MJaumlbnhQ H JLhQR[]OeWiexclMQcbMbLNPO centEgraveJQcO H JLhZJUY H QsO[gXiacute[PhZOslashJU^QcbLNPf-QCZaringN[]QcO[gWiexclMeJLhZJ H MJiexclON H jehJ[SX H MeJYZMNiKEgraveJiexcl^[JUYFOe[ HbdMNPO[PJNaumlfc[ H Xh[]Z2QcO^QUBQc^jNPf H [TQsO^QVUWQc^jNPf)^MeJUOeiNPYNtildeQcOwa)EgraveMBjaringNPO^ordm0jQcfcfRJSefhShS]je H MeJWMe[]fRJaumlKhZ[PcentfRJZ QsY(hZJU^jbnJU^ H [ bn[]ZaringKj H QcO[ cent=[]jO^NihYm QcO H J[PhdNPfcYH MNPOF`BY H [ H MeJ hZJLJUOWVAQcJZaringNPOO H MeJL[PhZJZte(hN H MeJLh H MNPO centEgrave[ H M centEgrave[]jO^NihYmNPO^ ^[]ZaringNPQcO QcO H J[PhNPfcY^yacuteMeJQZOslashKfRJZaringJUO H N H QR[]O [SX H MeJNPb H QVUPJ7bn[]O H []jhaQcOa)vMN`hNicentEgrave[Ph H mJ H NPfd^Ve fhShS]jaringQcYaring^e[]OeJacentmjYZQcOF[N not []jehQcJLharingKNihNSZOslashJ H JLhdQVcurrenUN~VH QR[]O^yacuteMeJJkWKhZJUYZYZQc[]O [SX H MeJumlUPJUfR[WbLQ H mAumlUPJUb H [Ph [SX H MeJOacuteNPb H QVUPJ7bn[]O H []jeh QcY

uumlnyacute|thornLyuml13 a

yenKbrvbarsect =4 acirc $ zOe[ H bn[]ZOslashKj H JU^OeNtildecentj HOslashH MeJ bnhQ H JLhQc[]OQcYaringQcO H hZ[W^jbnJU^NPO^ OBjFZOslashJLhQcbLNPfsfVmOacuteJUiNPfuVjN H JU^ QsO [Ph^eJLh H [ ZaringNkeQZaringQVcurrenLJQ H ^ JbLNPO Oe[ H J H MN HH MJeumlNPj H Me[PhYMNUPJKh[PK=[]YZJU^ NlaquoUPJLhYm QcO H JLhZJUY H QcO[aeligJk H JUOYZQR[]O [SX H MQcYWNtilde[Phl` jYQcO[ H MJ5[]NSZaringJ H MeJnV[PhYma)vMN`BhNicentEgrave[Ph H m NPO^jObLNPOOeOfhShSh]j^J[]Qc[]O NPO^ cent=[]jO^NihYmOslashbnhQ H JLhdQR[]OYNihZJYJLKNihdN H JU^OePcentj H JUNPbMaringbnhQ H JLhQR[]Otimesbn[]O H NPQcOY$NPOtimesQsO H JLhNPb H Qc[]OlaquoWQ H M H MeJ[ H MeJLh^ Y H MJ_[]NSZOslashJKhZ[S[PhJUYZYJUYeBcentEgrave[ H MZOslash[W^jfcJUYyQZOslashKh[UPJ H MeJUQRh0KEgrave[]YZQ H QR[]OY H MhZ[]j[]MZtimesj H jNPfQcOFX[PhlZ N H QR[]O YZMNihQsO[^

Oe[ H MeJLhIacuteYZQZaringQcfsNihUacuteNiKKhZ[]NPbMMNPYaumlcentEgraveJLJUOQcO H hZ[W^jbnJU^eumlcentmbvMeJUYZONPj^eumlJ H NPfd^a)vMJUYZONPj^ J H NPfd^VefhShSh]j^FMeJUQchNtilde^eJUYZbnhdQRK H [PhYFNihZJhZJnVJU~NPfsjN H JU^ JUNPbM H QZOslashJUacuteNKEgrave[]QcO H [SX H MJNPb H QVUPJbn[]O H []jehFJUP[]fVUPJUY0YZQsObnJ H MeJUQRh0^JUYZbnhQRK H [PhdY$NihZJY H N H QcY H QcbLNPfXiacuteJUN H jehZJUYOtilde[SX H MeJ QZaringN[PJordm[]fR[PcentNPfsfVm`N HH NPbdMeJU^ H [ H MeJOslashJUP[]fVUWQcO[ hZJ[]Qc[]OY^shyMJmbdMe[[]YZJ H MeJ`hNPO^e[]Z ^QcYKfsNPbnJZOslashJUO H [SXaumlNOacutebn[]OYZQs^eJLhZJU^ KEgrave[]QcO H [SX H MeJ NPb H QVUPJbn[]O H []jehOslashY[ H MN HIacuteH MJ bnhQ H JLhQR[]O7^eJUbnhZJUNPYJUY^$ _X H JLhaeligJUNPbdM ^QcYKfsNPbnJZOslashJUO H [SXNKEgrave[]QcO H [SX H MeJIacuteNPb H QVUPJIacutebn[]O H []jehe H MJT^eJUYZbnhQcK H [PhY(NihZJOtildehZJnV4bn[]ZaringKj H JU^O^

fcN H JLh NiKKhZ[]NPbdM MNPYaringcentEgraveJLJUOQcO H hZ[W^jbnJU^ centm G NSZaringY[]O J H NPfd^_a G NSZ Y[]OJ H NPfd^Ve sSsSs jyacuteXiacute[PhOtildebLfcNPYZYZQbLN H QR[]OaNPO^acentmvMNPO NPO^frac34$JUYJa)vMNPOeumlNPO^frac34$JUYJSesSs fjX[PhaYZJ[]ZOslashJUO H N H Qc[]O [SXaeligY H QcfcfOtildeQZ N[PJUY^yacuteMeJm KhZ[PKEgrave[]YJ H [JZIacutecentEgraveJU^ H MeJbnhQ H JLhQR[]O ^QRhZJUb H fVm`QcO H MJaeligfcJUPJUf$YJ H X[PhlZtimesjfcN H Qc[]OO^Ov(MNPOeumlNPO^$JUYJOslashKhZ[PKEgrave[]YJH MeJordfXiacute[]fcfR[WQcO[Oslash^eJUYbnhQRK H [PhYaringEFG FH uuml thorn UgraveUcircUacuteUuml yuml aacutecb7d Otilde e f centUhguuml thorn timesOslash yuml aacutecb cent Otilde e cent centuuml thorn otilde)yuml aacuteiS adi]jWQ H M e H MeJ NUPJLhN[PJ[SXgOtildeQcOicircOuml timesOslash e e cent H MJ`NUPJLhdN[PJ[SXgOtilde7QsO OumluUgraveUcircUacuteUuml^MeJUYJH WNtilde[ UiNPfcjeJUY NihZJhJnVJUY H QZaringN H JU^ ^jehQcO[ H MeJKhZ[PK-N[]N H QR[]O [SX H MeJbLjhYUPJNPYH MeJaelighZJ[]Qc[]OYJUP[]fVUPJS^shyMeJtimesKNihNSZaringJ H JLhYjb e1b cent egeumlNPO^kSNihJaringY[]ZOslashJaeligKEgrave[]YZQ H QVUPJbn[]OY H NPO H Y^iexclJLhZJ H MJ fRJUPJUfFYJ H ZOslashJ H Me[W^QsYIacute^QchZJUb H fVmjYJU^OacutecentmhJLKhZJUYJUO H QcO[H MeJtimesbLjehYUPJlaquoYacuteaagravejNPY H MeJycurrenLJLhZ[fRJUPJUfampYJ H [SXyNQRKYZbdMQ H currenTbn[]O H QcOBje[]jY_XiacutejOb H QR[]Ol a2atildeshyszligaumlKszligYagravej^]MeJfRJUPJUfWYJ H XiacutejOb H QR[]O l QcYQsO H hZ[W^jbnJU^timesQcO H MeJbnhQ H JLhQc[]OUWQcN H MeJiexclJUNUWQcYZQc^JyacuteXiacutejOb H QR[]Onmra l j^MeJbnhQ H JLhQR[]O QcY H MeJUOoZaringQcOQZaringQVcurrenLJU^WQ H M hZJUYKEgraveJUb HH [ l jYZQcO[OslashNaelighZJ[]jfcNihQVcurrenLJU^UPJLhYQR[]O[SX H MJyZaringQcOQCZaringQVcurrenUN H QR[]O KhZ[PcentfcJZ JIacuteOe[ H JMeJLhJ H MN HFH MeJJUP[]fcj H QR[]OaringJBjN H QR[]O QcY0^QRhZJUb H fVmtimesJkBKhZJUYZYJU^regWQ H M H MJiexclfRJUPJUf-YJ HXqjOb H QR[]O NPO^ Oe[ H WQ H M H MJTbLjehYUPJgYacute|^

G []ZOslashJ[ H MeJLhWNtilde[Phl`BYeBjYZQcOF[auml^QcY H hQccentj H QR[]O H MeJL[PhYmSeBMNUPJcentEgraveJLJUOaringKh[PK=[]YZJU^OslashcentmJLcenthZJUjFUPJaJ H NPf)^_aJLcenthZJUjUPJ J H NPfd^Ve sSs fjXiacute[PhZaringJU^QcbLNPfQCZaringN[]QcO[NPO^ centm 5ZaringNP^QRJUjJ H NPfd^shyaq _Z NP^QRJUj J H NPf)^VeshyfhShSh]jcopyXiacute[PhcentjQsfc^QcO[times^eJ H JUb H QR[]OO^not QcONPfcfVmSe~hZJ[]QR[]OWVcentNPYZJU^aringNPb H QVUPJbn[]O H []jehYNtildeNihZJNPfcY[OtildeKEgrave[WFJLhYXqjf H [[]fsYX[PhNtildebLfcNPY5VYZQbLN H QR[]Opounda13yJcurrencurrenUQJ H NPfd^VeshyfhShSh]j[Ph_ZOslash[ H Qc[]O^eJ H JUb H QR[]Oxaw_aNPOYZ[]jehQgNPO^wcOtilde[]OWVhNP^efhShSh]j^MeJZ N~5[PhOtildebn[]O H hQRcentj H Qc[]Oa[SXy[]jh5WF[PhY`aQsY H [KhZ[PKEgrave[]YJaeligNo[PJUOeJLhNPfQXiacutehNSZOslashJnVWF[PhY`X[PhaumlhJ[]QR[]OWVcentNPYJU^OacuteNPb H QVUPJ bn[]O H []jehY H N`BQcOF[QcO H [NPbLbn[]jO HIacuteH MeJaringbLNPYJ [SX

hZJ[]Qc[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhY^OgraveMeJ UPJUfR[WbLQ H mordmUPJUb H [PhF[SX H MJiexclNPb H QVUPJUacutebn[]O H []jh

uumlnyacute|thornLyuml13 o

i $amp)(+-)013021+345627893lt=gt9A6CBQcYUacutebn[]ZOslashK-j H JU^centm`QcO H hZ[W^jbLQcO[N ^mWONSZaringQcbLNPfampYZbdMeJZOslashJaring^QchZJUb H fVm`QsO H MJaringbnhQ H JnVhQc[]O H [frac34ZaringQcOQZaringQVcurrenLJaeligNPYTQcO aJLcenthJUjUPJ J H NPfd^Ve sSs f 5ZaringNP^QcJUjJ H NPfd^VefhShSh]j^iexcl[WFJUPJLheWFJ KhZ[PKEgrave[]YJ MJLhZJ N OJW Xiacute[PhlZtimesjfcN H QR[]O7[SX H MJ^JLhQVUiN H QR[]OjYZQcO[YZMNiK=JIacute[PK H QZaringQcurrenUN H QR[]O H [B[]fcY^ Q H M YjbM NZaringJ H Me[B^egtWFJtimesNihJaeligNicent-fRJ H [hZJUNP^QsfVmH N`PJQcO H [NPbLbn[]jO HaringH MeJ bLNPYJ [SXhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhY H MN H U~NihYm^jhQcO[ H MeJ KhZ[PKN[]N H QR[]O[SX H MeJ NPb H QUPJ bn[]O H []jeh^MeJUYJ ^eJUYZbnhQRK H [PhYTMNUPJH [centEgraveJtimesbn[]OYZQc^eJLhZJU^ YZQcObnJ H MJmaNihZJlaquoWQc^eJUfmjYJU^X[PhOtildejOYZjeKEgraveJLhYUWQcYJU^YJ[]ZaringJUOWVH N H QR[]O^ not [Ph(YZjbdM hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYbnhQRK H [PhYeOgraveWFJiexclYZMe[W H MN H NP^^Q H QR[]ONPfH JLhlZ Y0NiKKEgraveJUNihNtildeQsO H MeJJUP[]fcj H QR[]OaringJBjN H QR[]O [SX H MeJiexclbLjehlUPJ H MN H MNUPJUacuteOe[ H centEgraveJLJUOKhJUBQR[]jYZfVm bn[]ZOslashK-j H JU^O^

pE paraOacuteOgraveJJTIshyAgravesup1cedilqoacuteIshyacuteLcedilsup3UrltLcedilgtmicrobacuteNsMgtLtrraquoML iquest acuteAgravegtT2MKIOAacutelAcirclaquocedilFAtildeacuteNfrac12oRSJT13AringKacutepoundAEligMKIKJMgtPltLAtildeq jhyZaringNPQcOb[P[]NPfFfsQRJUYTQcO H MeJ JUfsNicent=[PhdN H QR[]O[SXNfrac34[PJUOeJLhNPfXhdNSZOslashJWNtilde[Phl`umlX[Ph H MeJYJ[]ZaringJUO H N H QR[]O7[SXNPO7QZaringN[PJQcO H WF[euml^Q=JLhJUO H hZJ[]QR[]OYtimesjYZQcOF[hZJ[]QR[]OWVcent-NPYJU^NPb H QVUPJIacutebn[]O H []jehdY^ JOtildeKhZ[PKEgrave[]YJ H [ZaringQcOQZ QVcurrenLJ H MeJiexcl[PJUOeJLhdNPfgbnhQ H JLhQc[]O a2jWiexclMeJLhZJUacuteJUNPbM hJ[]QR[]OQcYamp^eJUYbnhQRcentEgraveJU^TjYQcO[UacuteN_XqjOb H Qc[]OtimesbLNPfsfRJU^ n^eJUYZbnhQRK H [Ph[SX H MeJhZJ[]QR[]Op^i YampKhZJUWQuV[]jYfVmOtilde^eJ H NPQcfRJU^OeNiexcl^eJUYbnhQRK H [PhQcY9N XiacutejOb H QR[]O H MN H ZOslashJUNPYZjhZJUY H MJNtildeMe[]ZOslash[S[PJUOJUQ H m[SXyN hZJ[]QR[]OO^Egrave_[]Y H [SXyhJUfRJU~NPO H Y H N H QcY H QcbLNPf^eJUYZbnhQcK H [PhY^JLK=JUO^ H MeJZaringYZJUfVUPJUY[]O H MeJOslashhJ[]QR[]OO^ G []ZOslashJOslashJkeNSZOslashKfRJUYOtildeNihJordm[]QVUPJUOQcO G JUb^shy^ macr^ not [PhTJkWNSZOslashK-fRJSe H MeJhZJ[]Qc[]Oa^eJUYZbnhdQRK H [Phordfuuml thorn timesOslash yuml bLNPO centEgraveJTbM[]YJUOeumlNPY H MJyUiNihQcNPObnJvu centtimesOslash [SX H MeJThJ[]QR[]OOumlcopytimesOslashFeWMQcbdM[]QVUPJUYaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashj|aacute[u centtimesOslash aacutexw$ aOtilde SOtimesOslashjUcirccent atilde aumlw$ atilde aumlWMJLhZJSOtimesOslash QcY H MJyZOslashJUNPO [SX H MeJaumlhJ[]QR[]OwOumlcopytimesOslash^ G jbMaNaring^eJUYZbnhQcK H [PhQcY(ONSZaringJU^aNn5hZJ[]Qc[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhlpOslashYZQcObnJaumlQ H ^eJLKEgraveJUO^YF[]O H MeJaumlhJ[]QR[]OwOuml timesOslash ^q ObnJ H MeJTbnhdQ H JLhQR[]O QcYQcO H h[B^jbnJU^OeWNtildeJTKhZ[PKEgrave[]YJ H [ bn[]ZaringKj H J H MeJTJUP[]fcjWVH QR[]OUacuteJBjN H QR[]OT[SX H MJ0bn[]O H []jh H MN H WQsfcfZaringN`PJ0Q H JUP[]fVUPJ H [WNih^YNyacuteZaringQcOQCZIacutejFZ[SX H MeJTbnhdQ H JLhQR[]OjYZQcO[OslashNaringOeJWH0jfcJLhQcNPOZOslashJ H Me[W^O^ H XqjO^NSZOslashJUO H NPfcfVm ^QEgraveJLhYXiacutehZ[]Z2[ H MJLhFNiKKhZ[]NPbMeJUYFYZQcObnJyacuteWNtildeJ_`PJLJLK H MJ Xiacute[PhlZIacutejfcN H QR[]Oaring[SXhJ[]QR[]OY0QsOY H JUNP^[SXyhJU^jbLQcO[ H MeJWiexclMe[]fRJTKhZ[PcentfRJZ H [ centEgrave[]jO^NihYm QcO H J[PhNPfcY^gtO^JLJU^OeWFJlaquohY HQcO H hZ[W^jbnJFNiexcl^mWONSZaringQsbLNPfYZbdMeJZOslashJ(QcO H MeJ(bnhQ H JLhQc[]OIacuteNPO^ H MeJUOWFJbn[]ZaringKj H J H MeJNtildejfRJLhQcNPO`^eJLhQVUiN H QVUPJaelig[SX H MJOslashJUP[]fVUBQsO[ bnhQ H JLhQR[]O`centm`jYZQsO[ YMNiKEgraveJIacute[PK H QCZaringQVcurrenUN~VH QR[]O KhQsObLQRKfRJUY^]MQcYZOslashJ H Me[W^ KhZ[UWQc^eJUY H MeJUacuteNP^U~NPO H N[PJ H MN HH MeJ5U~NihdQcN H QR[]O[SXehZJ[]Qc[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYbnhQRK H [PhYltWQ H M H MeJFJUP[]fcj H QR[]OIacute[SX H MeJNPb H QVUPJ(bn[]O H []jhbLNPO centEgraveJOtildehZJUNP^QcfVm H N`PJUO`QcO H [ NPbLbn[]jO H ^MeJTbn[]ZOslashKj H N H QR[]Oa[SX H MJTJUP[]fcj H Qc[]OaJBjN H QR[]O`[SX H MeJIacuteNPb H QUPJtimesbn[]O H []jehOtildeQcYKEgraveJLhYXiacute[PhlZOslashJU^QcO H MehJLJyZaringNPQcO Y H JLK-Yaring

uumlnyacute|thornLyuml13 y

yenKbrvbarsect =4 acirc $ hf^ltO H hZ[W^jb H QR[]O[SX$NOslash^mWONSZaringQcbLNPfYbMeJZOslashJSaring JTYJUNihbdMX[Ph H MeJOtildeKNih H Q H Qc[]O[SX H MeJaumlQZ N[PJadOumlcopytimesOslashszliglOuml UgraveUcircUacuteUuml szligYYacutejWMQcbdMZaringQcOQuVZaringQVcurrenLJUY H MeJbnhQ H JLhQR[]Oocirc|adOumlcopytimesOslashgtszliglOuml UgraveUcircUacuteUuml szligYYacutej^eJUYZbnhQRcentEgraveJU^aeligQcOa2j^ MQcfRJNPYZYZjZaringQcO[

H MN H NPO`[PK H QZaringNPf9KNih H Q H Qc[]O JkWQsY H Ye H MJTQcYZYZjJTQcY H [ bn[]ZOslashKj H J H MQcYiexclY[]fcjWVH QR[]OO^ G QsObnJ H MeJ YJ H [SX(NPfcfy^e[]ZaringNPQsOYaumlMNPYIacuteOe[ H NaY H hjb H jehZJOslash[SXcopyUPJUb H [PhQsNPfYKNPbnJSeQ H QcYauml^Qz bLjf HUacuteH [abn[]ZOslashKj H J H MeJ ^eJLhdQVU~N H QUPJOslash[SX H MJ bnhQ H JLhQc[]ONPb|Vbn[Ph^QcO[ H [ H MJ^e[]ZaringNPQsOY^_[ bLQchbLjFZUPJUO H H MQcY`KhZ[PcentfcJZeyacuteWFJNiKKfmN H hNPOYYX[PhlZ N H QR[]O| H [ JUNPbM^e[]ZaringNPQsOOeYZjbdM H MN H Q H centEgraveJUbn[]ZOslashJUY`bn[]OWVH QcOj[]jYZfVm^eJLKEgraveJUO^eJUO H []O NPO JUP[]fsj H QR[]O KNihNSZOslashJ H JLhagrave^MeJ`bnhQ H JLhQR[]Ocent=JUbn[]ZaringJUYT^eJLKEgraveJUO^eJUO H []Obagravearingocirc|aagravejgaacute ocirc|adOumlcopytimesOslashaagravejszliglOuml UgraveUcircUacuteUuml aagravejszligYYacuteaagravejj^QO H MQcY^mBONSZaringQcbLNPfTYbMeJZOslashJSeiexclWFJ bLNPO hJUNP^QcfVm H N`PJQcO H [ NPbLbn[]jO H N K=[]YYZQRcentfRJU~NihQsN H QR[]O[SX H MeJ ^eJUYZbnhdQRK H [PhYWQ H M H MeJJUP[]fVUWQcO[ hZJ[]QR[]OYk|adOuml times j aacuteOumlcopytimesaagravej^

^QiexclJLhdQVU~N H Qc[]O [SX H MeJaumlbnhQ H JLhQc[]O jYZQcO[OslashYZMNiK=JOtilde[PK H QZaringQVcurrenUN H QR[]O H MJL[PhZJZaringYaringMeJNtildebnhdQ H JLhQR[]OocircOcircaagravej9QcY H MeJUOIacute^JLhQVUPJU^TNPbLbn[Phd^QcO[ H [5agrave H MNPO`WY H [ H MeJFbn[]ZaeligVKj H N H QR[]Oeuml[SX H MeJ0jfRJLhQcNPOeuml^eJLhQU~N H QVUPJaelig[SX_ocircjYZQcO[YZMNiKEgraveJaelig[PK H QZ QVcurrenUN H QR[]OKhQcObLQcKfRJUYeOWMQcbMQcYIacuteOJWQsO H MeJNihZJUN [SXNPb H QVUPJ bn[]O H []jehY^$ YXqNihOslashNPYH MeJF^JLhQVUiN H QR[]OTQcYbn[]ObnJLhOeJU^e H MeJU~NihdQcN H QR[]OIacute[SX H MeJF^JUYZbnhQRK H [PhdYWQ H M H MeJJUP[]fVUBQsO[OslashhZJ[]QR[]OY_Oumlcopytimesaagravej(NPO^Y[ordmWQ H MagravetZIacutejY H centEgraveJ H N`PJUOaQcO H [aringNPbLbn[]jO H ^

^vF[]ZOslashKj H N H Qc[]O [SX H MJaumlJUP[]fcj H QR[]OJjN H Qc[]OXh[]Z H MeJauml^eJLhQU~N H QVUPJSaringnot hZ[]Z H MeJNtilde^JLhQVUiN H QVUPJSeWFJNtilde^eJU^jbnJ H MeJUPJUfR[WbLQ H mordfUPJUb H [Ph$[SX H MeJFNPb H QVUPJbn[]OWVH []jeh H MN H WiexclQcfcfZaringN`PJQ H JUP[]fUPJiexclNPYXqNPY H NPY$KEgrave[]YZYQRcentfRJ H [WNih^YNtildeNgZaringQcOQCZIacutejFZ[SX H MeJOtildebnhQ H JLhdQR[]OO^ObLNPYJUacute[SX9hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhYe H MeJUacuteJUP[]fcjWVH QR[]OeumlJjN H QR[]Oeuml[SX H MJaringNPb H QVUPJaringbn[]O H []jhTQcYOtilde^QEgraveJLhZJUO H XhZ[]Z H MJtimes[]OJaringbn[]ZaeligVKj H JU^ Xiacute[Ph hZJ[]QR[]OWV4QcO^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhY^ G []ZOslashJ`NP^^Q H QR[]ONPf H JLhZaringYNiKKEgraveJUNihiexclNPO^`Y[ Q H QcY[SX$KhdQZOslashJaumlOeJUbnJUYZYQ H m H [bn[]OYZQc^JLh H MeJ H WNtilde[o`WQcO^Y([SX^eJUYZbnhQRK H [PhY(YJLKNihN H JUfmS^

9J H jYFOe[ H J H MN HFH MQcY[PJUOeJLhNPfKXiacutehNSZOslashJWF[PhY` bLNPO centEgraveJNiKK-fcQRJU^ H [ordmZaringNPOm ^QEgraveJLhVJUO H NiKKfsQcbLN H QR[]OYcentm[]OfVmbMNPO[]QsO[ H MeJT^eJUYbnhQRK H [PhY^ H MNPYcentEgraveJLJUOOe[ H NicentfmNiKK-fcQRJU^ H [ordmZOslash[UBQsO[aelig[Pcent~5JUb H Y(^J H JUb H QR[]O QcOoUBQs^eJL[timesYZJjeJUObnJUY(NPbjQchZJU^ JUQ H MeJLhWQ H MN Y H N H QcbawS]JUMNPOWV4XFJUYZY[]O J H NPfd^Ve sSs fLbjiexcl[PhUacuteNregZOslash[Pcent-QcfRJTbLNSZOslashJLhdNawS]JUMNPOWVXFJUYZY[]O J H NPf)^Ve sSs fncentj^ JUYZbnhQRK H [PhdYoZ Nm NPfcY[centEgraveJ YJBjeJUO H QcNPfcfVm jYJU^ H [QZaringKhZ[UPJ H MeJu-ONPfBhZJUYZjf H NPYyQ H MNPYampcentEgraveJLJUOaeligKh[PK=[]YZJU^timesQsOtawSPJUMNPOWV4XFJUYZYZ[]OOslashJ H NPfd^VesSs fLNOgravej^^f^~OacuteETHEgraveKEacute18=KETH32EacuteltOacuterEacute0frac34Ntilde83ltOacuteONtildeshyIacute=gtNtildeshyEumltIcirc=39IgraveFIacute5Igrave O QZaringN[PJumlOtildegta2atildeltszligaumlj QcYNxXqjOb H QR[]O ^eJOJU^ Xiacute[Phpounda2atildeshyszligaumlFj OumlOcirccenteuWMeJLhZJOumloslashQcY H MeJ QZaringN[PJ ^e[]ZaringNPQcOO^ltMeJ QCZaringN[PJ ^e[]Z NPQcOQcYIacutebn[]OYZQc^eJLhJU^ H [ cent=JZaringNP^eJjeK`[SX H WF[KNih H Ylaquoa not Q[^fjaring H MJyXiacute[PhZJ[PhZ[]jO^`KNih H bn[]O H NPQsOQcO[ H MeJT[Pcent~JUb H Y H [

uumlnyacute|thornLyuml13

f s $amp)(+-)013021+345627893lt=gt9A6CBYJ[]ZaringJUO H e=Oe[ H JU^frac34OumlcopytimesOslashFe-NPO^ H MeJaumlcent-NPbY`[PhZ[]jO^aKNih H Oe[ H JU^Ouml UgraveUcircUacuteUuml ^MeJauml^QcYZbn[]OWVH QcOBjQ H m`YJ H QcYOtildeNbLjehlUPJ Oe[ H JU^bYacute H MN H ^JOeJUY H MeJ cent=[]jO^NihYmcentEgraveJ H WNtildeJLJUO H MeJH WNtilde[ ^[]ZaringNPQcOY^ J H MJUOaYJUNihbdMtXiacute[Ph H MeJ H WNtilde[^e[]ZaringNPQsOYyacuteOuml UgraveUcircUacuteUuml NPO^wOumlutimes OslashWMQcbdMtZaringQcOQZaringQVcurrenLJ H MeJbnhQ H JLhQR[]Oocircuml[]QVUPJUOcentmumla2jehZJZaringQcO^eJU^ MeJLhZJSaring

ocirc|adOuml UgraveUcircUacuteUuml szliglOumlcopytimesOslashgtszligYYacuteQjumlaacute uuml thorn UgraveUcircUacuteUuml yuml a2atildeltszligaumlgtszliglOuml UgraveUacuteUuml j atilde auml $ uuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOuml timesOslash j atilde aumlamp uacuteucirc thorn yuml uuml thorn otilde)yuml a2atildeshyszligaumlFj THORN5OaumlbnhQ H JLhdQR[]Oa2je H MeJ|hY HH WNtilde[ H JLhlZaringY9NihJyhZJ[]QR[]OWVcent-NPYJU^ordfWMQsfRJ H MeJ H MQRhd^ H JLhlZQcYcentEgrave[]jO^NihYmVcentNPYJU^O^MeJiexclXqjOb H QR[]OYyacuteuuml thorn UgraveUcircUacuteUuml yuml egtuuml thorn timesOslash yuml NPO^tuuml thorn otilde)yuml NihZJaumlhZJUYKEgraveJUb H QVUPJUfmH MeJ^eJUYZbnhdQRK H [PhY[SX H MeJFcentNPbl`[PhZ[]jO^timesKNih H ei[SX H MeJ[Pcent~JUb H Y H [OtildeYJ[]ZOslashJUO H NPO^Iacute[SXH MeJaumlbn[]O H []jeh^KMeJauml^eJUYbnhQRK H [PhYuZ Nm centEgraveJordf[]fR[PcentNPfcfm N HH NPbMJU^ H [ H MeJOtildeJUP[]fVUWQcO[hZJ[]Qc[]OY(NPO^Y[ ^eJLKEgraveJUO^ []Ofrac34Ouml timesOslash [Ph5OumluUgraveUcircUacuteUuml^

G QcObnJ H MeJaringYJ H [SXNtildeNPfsf$^e[]ZaringNPQcOYUacuteMNPYOtildeO[ H N Y H hjb H jehJtimes[SXUPJUb H [PhQcNPfyYZKNPbnJSeWFJIacutebLNPOeumlOe[ H bn[]ZOslashKj H J H MeJaelig^eJLhQVUiN H QVUPJT[SX H MJIacuteKhJUBQR[]jYbnhQ H JLhdQR[]OaNPbLbn[Ph^QcO[H [euml^e[]ZaringNPQcOY^ltMJLhZJX[PhJSe H [bn[]ZOslashKj H JNPO[PK H QZaringNPfFY[]fcj H Qc[]OOe9Neuml^mWONSZaringQcbLNPfYZbdMeJZOslashJOtildeQcYQcO H hZ[W^jbnJU^WMeJLhZJJUNPbM^[]ZaringNPQcO cent=JUbn[]ZaringJUY(bn[]O H QcOBje[]jYfVm ^eJLKEgraveJUOWV^eJUO H []ONPO JUP[]fcj H QR[]O KNihdNSZOslashJ H JLhagrave^59[ X[PhZaringNPfcQVcurrenLJ H MQcYQc^eJUNe WNtildeJxZaringNmYZjKKEgrave[]YJ H MN HTH MJ JUP[]fcj H Qc[]OKhZ[WbnJUYZYtimesQcY H [ H NPfsfVm^eJ H JLhlZaringQcOJU^centm H MJ JkeQcY5VH JUObnJiexcl[SXgNyXqNSZaringQcfmIacute[SXgNiKK-fcQcbLN H QR[]OY| H MN HNtildeH hNPOYXiacute[PhlZaringY H MeJiexclQsOQ H QcNPfe^e[]Z NPQcOYOumlcopytimesOslashgta s jNPO^tOuml UgraveUcircUacuteUuml a s jQsO H [ H MeJIacutebLjehZhZJUO H ^e[]ZaringNPQcOYyacuteOumlcopytimesOslashKaagravejNPO^frac34Ouml UgraveUcircUacuteUuml aagravejaring

OumlutimesUcirca s j ntilde OumlcopytimesaagravejYacutea s j ntilde Yacuteaagravej WiexclMeJLhZJVQaacuteiV[Ph Kf5 iumlMBjY H MeJOtildehJ[]QR[]OY(JUP[]fVUPJ H [WNih^YiexclNPO [PK H QZaringNPf9Y[]fcj H QR[]O^MeJ H hQRKfcJ H Ouml UgraveUcircUacuteUuml aagravejszliglOumlcopytimesOslashOaagravejszligYYacuteaagravejordmZIacutejY H NPb H NPYNregZaringQcOQZ QVcurrenUQcO[TYZJjeJUObnJgX[Phocirc|adOuml UgraveUcircUacuteUuml szliglOumlcopytimesOslashszligYYacutejWiexclMeJUOagrave JUP[]fVUPJUY^MeJ5XqjOb H QR[]ONPfOocircOcircadOuml UgraveUacuteUuml aagravejszliglOumlcopytimesOslashaagravejszligYYacuteaagravejjMNPY H [ bn[]OOgraveUPJLhY[PJ H [WNih^Y H MeJpoundZaringQcOQCZIacutejFZ UiNPfcjeJeuml[SXregocirc2NPYfrac34agraveacircntilde ograveegrave^ MeJbnhQ H JLhQR[]O H MeJUO centEgraveJUbn[]ZOslashJUYaring

ocirc|adOuml UgraveUcircUacuteUuml aagravejszliglOumlcopytimesOslashaagravejszligYYacuteaagravejjaacute thorn yuml uuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszliglOuml UgraveUcircUacuteUuml aagravejj atilde auml 5$ thorn yuml uuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashKaagravejj atilde aumlj uacuteucirc thorn yuml uuml thorn otilde)yuml a2atildeshyszligaumlFj THORN adh]jMJoXqjOb H Qc[]ONPf_ocircOcircadOumlyacuteUgraveUacuteUumllaagravejszliglOuml timesOslash aagravejszligYYacuteaagravejjaeligQcY H MeJLhZJUNX H JLh O[ H JU^egraveocirc|aagraveje0NPO^H MeJ ^eJUYZbnhQcK H [PhYuuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashKaagravejj NPO^icircuuml thorn UgraveUcircUacuteUuml yuml a2atildeltszligaumlgtszliglOuml UgraveUcircUacuteUuml aagravejjaringNihZJ`hZJUYKEgraveJUb|VH QVUPJUfmUacuteO[ H JU^laquouuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejgNPO^laquouuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszligYagravejeWMQcbdMTfRJUNP^Y H [ H MeJXiacute[]fcfR[WQcO[

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ fSfJkWKhZJUYZYQR[]OOaring

ocirc|aagravejumlaacute thorn yuml uuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszligYagravej atilde auml $ thorn yuml uumlgtthorn timesOslash yuml a2atildeltszligaumlgtszligYagravej atilde aumlj uacuteucirc thorn yuml uumlgtthorn otilde)yuml a2atildeshyszligaumlFj THORN af s j5OOtildebn[]O H hdNPY H WQ H MUacute[ H MeJLh9NPb H QVUPJFbn[]O H []jehdY9NiKKh[]NPbMeJUYe H MeJy^mWONSZaringQcbLNPfPYZbdMeJZOslashJQcYtimesMeJLhZJ^QRhJUb H fVmQcO H h[B^jbnJU^QcO H MeJbnhQ H JLhQc[]OO^ Q H MYZjbdMNeumlYZbdMeJZOslashJSe H MeJQcO H hZ[W^jb H QR[]OOacute[SXiexclNPO NPb H QVUPJbn[]O H []jehOslashJUP[]fVUWQcO[ WQ H Msup1agraveQcYaeligY H hNPQ[]M H Xiacute[PhYWNih^O^iexclJUObnJ WNtildeJbn[]OYZQc^eJLh H MN H Yacuteaagravej QsYoZaring[B^eJUfsfRJU^ NPY NPO NPb H QUPJOacutebn[]O H []jh H MN Hbn[]OUPJLhY[PJUY H [WNih^Y H MJgONPfEgraveJkWKEgraveJUb H JU^YJ[]ZOslashJUO H N H QR[]OO^9J H Yacutea s jtimescentEgraveJ H MeJQcOQ H QcNPfNtildebLjhYUPJa^eJOJU^centm H MeJjYJLh^ JahZJUbLNPfcf H MN H WFJYJUNihdbMtXiacute[Ph YacuteaagravejNPYNaringbLjehlUPJaumlJUP[]fVUWQcO[aringNPbLbn[Ph^QsO[ H [ H MeJgXiacute[]fcfR[WQcO[ordm5 aringaelig YacuteadTHORNOgraveszligYagravejaelig agrave aacuteegraveeuml WiexclQ H MigraveYacutea s j|aacuteegraveYacuteshyiacute afSfjWMJLhZJ_euml`QcY H MJ_UPJUfR[WbLQ H mUPJUb H [Ph([SX H MeJUacuteNPb H QVUPJOtildebn[]O H []jh^MeJ_Z NPQcO KhZ[PcentfRJZfcQcJUYFQsO-O^QcO[ H MeJiexclUPJUfR[WbLQ H meumlXhZ[]Z H MJUacutebnhdQ H JLhQR[]Opoundaf s jFQcO [Ph^JLh H [ordm[PJ HH MeJXqNPY H JUY H bLjhYUPJaumlJUP[]fcj H Qc[]O H [WNih^Y H MeJordfONPfYJ[]ZaringJUO H N H QR[]O^^ ^iexclEacuteltIacuteETHNtildeFETHEacuteshyOacute Eacute10wETH9Igrave8ltIgraveFEgravegt+NtildeFETH3gt+ltIgraveumlEacute10frac34ETH9Igrave=KEgrave13ETHIgraveFEgraveEacuteshyOacute5Oeuml[Ph^eJLh H [ [Pcent H NPQsO H MeJOslashJUP[]fcj H QR[]OeumlJBjN H QR[]Oe H MeJaringbnhQ H JLhQc[]OxocircOcircaagravej5ZtimesjY H centEgraveJ^QV=JLhZJUO H QcN H JU^WQ H MhZJUYKEgraveJUb H(H [agrave^MeJOtildeQcO H J[PhNPfcentEgrave[]jO^Y^eJLKEgraveJUO^ []Otagrave NPO^H MeJauml^JUYZbnhQRK H [PhdYyacuteuuml thorn UgraveUcircUacuteUuml yuml a)jNPO^wuuml thorn times Oslash yuml a)juZaringNm NPfcY[aring^JLK=JUO^[]Otagrave^9J H jY^eJOJ H MeJordfXiacutejOb H QR[]ONPfuumlOa2atildeltszligaumlgtszligYagravejYZjbM H MN H aring

uumlOa2atildeltszligaumlgtszligYagravej|aacute uuml thorn UgraveUacuteUuml yuml a2atildeltszligaumlgtszligYagravej QVXcopya2atildeltszligaumljwOuml UgraveUcircUacuteUuml aagravejuuml thorn times Oslash yuml a2atildeltszligaumlgtszligYagravej QVXcopya2atildeshyszligaumlFjtOumlcopytimesOslashKaagravej af jMJbXqjOb H QR[]ONPfuuml thorn UgraveUcircUacuteUuml yuml a)jNPO^Huuml thorn times Oslash yuml a)j`NihZJ^eJOJU^ []O H MeJxWMe[]fRJ7QZaringN[PJ^e[]Z NPQcOtOumliexcl^FMeJUOe H MeJaumlbnhQ H JLhQc[]OocircOcircaagravejuWhQ H JUY(NPYaring

ocirc|aagravejOcircaacute uacute uumlOa2atildeshyszligaumlKszligYagravej atilde aumlj uacuteucirc thorn yuml uumlgtthorn otilde)yuml a2atildeshyszligaumlFj THORNordfaacuteocirc aagravej ocirc cent aagravej af]jWMJLhZJgOuml QcY H MeJaumlQCZaringN[PJT^e[]ZaringNPQsOOeeNPO^Oaring

ocirc aagravej|aacute uacute uumlOa2atildeshyszligaumlKszligYagravej atilde aumlocirc cent aagravejOcircaacute uacuteucirc thorn yuml uuml thorn otilde)yuml a2atildeshyszligaumlFj THORN

uumlnyacutenthornnyumll13YSordmY_F

f $amp)(+-)013021+345627893lt=gt9A6CB5OOtilde[Ph^eJLh H [bn[]ZaringKj H J H MJ0^eJLhQVUiN H QVUPJy[SX H MJNtildebnhQ H JLhdQR[]Olaquoocirc aagraveje H MJNtilde^QcYbn[]O H QcOBjWVQ H QcJUY|ZtimesjY H JkWKfcQcbLQ H fVmIacutecentEgraveJ H N`PJUOQcO H [IacuteNPbLbn[]jO H ^ not [Ph(YZjbdM NIacuteKjehZKEgrave[]YJSeSWFJ5hY HhZJUbLNPfsf-N[PJUOeJLhNPf H MeJL[PhJZbn[]ObnJLhOQcO[ H MeJUacute^eJLhQVUiN H QVUPJ[SX9N H QZOslashJnV4^eJLKEgraveJUO^JUO HbnhQ H JLhQR[]OO^9J H jY(^eJ-OeJyOumlcopytimesaagravejNPYNOslashhZJ[]Qc[]OQcObLfcj^eJU^QcO H [regOumlordf^yacute5 q Ntilde_ f^1ltuumlStimesBiexcl centpoundcurrenyencurrenbrvbarsectumlordfcopynotlaquo3shyyenLregmacrcurrenRlaquodegcurrenbrvbarlaquo Oumlplusmna s szligsup2|iexcljsup3acute Rlaquomicromiddotparagtltocirc|aagravejOcircaacute w thorn yuml uumlStimesYa2atildeltszligaumlgtszligYagravej atilde auml~sup3cedilsectsup1ltlaquoordm ocirc agrave aacuteocirc7raquodaagravejOcircaacute thorn yuml aelig uumlStimesaelig agrave atilde auml uacutefrac14 thorn yuml uumlStimesYafrac34frac12 eacuteAgraveiquestsup1AacuteAtildeAcircYj THORNAuml sectsup1ltAringPfrac12AEligreg(centsectsup1Ccedilbrvbar_paracurrenyenshyltregLLEgraveacutecurrensup2uml aelig Oumlcopytimesaagravej RlaquomicroeacuteAgraveiquestsup1AacuteAtildeAcircEacuteregEcirccentsectsup1copysup1laquoregEumlreg(laquo Auml brvbarAringsup2microacutelaquocurrenRAringordfpound RparaIgravecurren aelig Oumlcopytimesaagravej_IacuteMJ^JLhQVUiN H QVUPJ[SXshyocircWQ H MaelighZJUYZK=JUb HampH [yagraveaeligQcY H MJyacute0jfRJLhdQcNPOIacute^JLhQVUiN H QVUPJ([SXocirc|adOumlcopytimesAjQcO H MeJOtilde^QRhJUb H QR[]O [SXEumlfrac12umleWMQcbdM bn[]ZaringKj H N H QR[]O QcY[]QVUPJUO QsO iexclKKEgraveJUO^Qkaring ^FMeJUiNihQcN H QR[]Oeuml[SX5ocirc QcYOtilde^jeJ H [ H MeJUiNihQcN H Qc[]O[SX H MeJordmXiacutejOb H QR[]ONPfOcircuuml]timesa2atildeltszligaumlgtszligYagravejaumlNPO^H [ H MeJgZOslash[ H Qc[]O[SX H MeJOtildeQcO H J[PhNPf^e[]ZaringNPQsOOumlutimesaagravej^ Y(Naeligbn[PhZ[]fcfcNihYm [SXltMJL[PhZJZfeFWFJordf[PJ H aringv q q shy9 5lt f^yenIcirccopyNcentampcentcopyIuml-Iumlsup1currenfcentyenYsectnot -sectsup1Ymicro-currenRpound Rreglaquofrac34Oumlgaagravejampreg(centpound -microETHcopyIumliexclcurrensup2uml Auml currenCIuml RAringordfcentsup3yOuml timesOslash aagravejNtilde RlaquomicropoundOumlyacuteUgraveUacuteUumllaagravejOgravecentyenfrac34Iumlsup1 brvbarAringsup2 brvbarmicro_Egraveh iexclpoundYcurrenbrvbarCcedildreglaquoNOacutehreglaquo5_Aringumllt -shytYacuteaagravejAuml sectETHregmacrshy_sectOcircCcedilRltparaOtildecurrendshyltregLLEgraveregEcirccentyacuteeumlEumlIacuteOumlsectsup1Uumlordfcopynotlaquo3shyyenLregmacrcurrenRlaquouumlOa2atildeltszligaumlgtszligYagravejreg(centcentordfcopyIuml-Iumlsup1currenfcentyenmicroOcircIgravecurrenOcirccentltfrac34Iuml RAringsup2 -_paraEgraveshycurrenRlaquo5LreglaquocopycurrenRcopynotcentcedilreglaquoyOumlcopytimesOslashKaagravejW Rlaquomicro Ouml UgraveUcircUacuteUuml aagravej_copy3pound REgraveampJmicrobrvbarregEcirccentltshycurrenRlaquo5LreglaquocopycurrenRcopynotcentJ -shyltAringPcurrenfcentcentYacuteaagravej_Iacutetimes Agravelaquocurrenbrvbaruuml thorn times Oslash yuml Rlaquomicroruuml thorn UgraveUcircUacuteUuml yuml sup3sectsup1Ccedilf brvbarparacopy5iexclcurrensup2umlwuumlreglaquoOslashAringordfcentIumlshydLreg(Ccedilbrvbar_paraEgraverOumlutimes OslashaagravejAgrave Rlaquo3microOuml UgraveUcircUacuteUuml aagravej_IacuteUgraveOumlsectNcopyNcentampsectmicroETH_Aringordfreg(CcedilR brvbarLregCcedilRcurrensup2umlordfocirc|aagravej Auml AringregLordfcent fcent_ordm

ocirc7raquo)aagravejOcircaacuteUacute thorn yuml aelig uumlaelig agrave atilde auml uacutefrac14 thorn yuml uumlOaLUcirc eacute iquestsup1Aacute j THORN uacuteucirc thorn yuml uumlNaeuml eacuteHj THORNAuml sectsup1ltAringPacute uumlNAringfrac34Iuml3AringP_centlt_laquocentYsectUumlordfcopysup1poundUgraveIumlcurrensup2umlguumlh -shyltAringPcurrenfcentcentordfYacuteaagravej_ordmW uumlNaacuteacircuuml thorn UgraveUacuteUuml yuml uuml thorn times Oslash yuml sup3eacute sectsup1ncopynotlaquo5reglaquo3currenRAringpound RparaIcirccurrensup2umlordfYacuteaagravejmicrobrvbarreg(AringshydmicroampumlAringPcurrenRpound Ouml UgraveUacuteUuml aagravejIgravecurrenOumlutimes OslashKaagravejsup3eacuteAgraveiquestsup1Aacutesectcopysup1laquoregLEumlreglaquo Auml RAringPmicroOcirclaquocurrenRAringordfpound Rpara1Igravecurren aelig Oumlgaagravejj RlaquomicroUcircYacutesectsup1jCcedilbrvbar_paracurrenyenshyltregLLEgravenCcedilbrvbarshydIgravecurrenRAringjcurrensup2uml_Oumlyaagravej_Iacute

plusmngLMOMraquo aring JbLNPO NiKKfVm MJL[PhZJZ f H [ H MeJ ^[]ZaringNPQcO Oumlutimes OslashaagravejaringNPO^ H [ H MeJ^e[]Z NPQcOtOuml UgraveUcircUacuteUuml aagravej^ ^^QcO[ H MeJ H WF[aringJjN H QR[]OYeFWFJOtilde[Pcent H NPQcO H MeJTbn[PhZ[]fcfsNihYmS^ H QcYIacuteOe[WY H hNPQ[]M H Xiacute[PhYWNih^ H [[PJ HtimesH MeJ ^eJLhdQVU~N H QUPJ [SX H MeJ bnhQ H JLhQR[]O ocirc aagravejaringWFJ H N`PJ5OumlyaagravejOcircaacuteAumlOuml H MeJiexclQZaringN[PJ^e[]Z NPQcOta not QV[^ j^MJUOOePcentmaeligJkWKfcQcbLQ H fVm H N`WQcO[

uumlnyacutenthornnyumll13YSordmY_FY

yenKbrvbarsect =4 acirc $ fH MeJtimes^QcYZbn[]O H QcOBjQ H QRJUY(QsO H [ NPbLbn[]jO HUacuteH MNPOF`BY H [ H MeJtimesbn[PhZ[]fcfcNihlmSe H MeJtimes^eJLhQVUiN H QVUPJ[SXocirc aagravejQcYcopy[]QVUPJUOacentmKaring

ocirc raquo aagravejumlaacute uacuteucirc thorn yuml uumlNaeuml eacutej THORN uacutefrac14 uumlOaLUcirc eacuteAgraveiquestsup1Aacutej THORN $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde auml thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afj

q centUWQR[]jYZfVmSe H MeJ7YJUbn[]O^ H JLhlZ [SX H MeJ7^eJLhQVUiN H QVUPJ afjaQcYcurrenLJLh[ YZQcObnJ H MeJJk H JLhONPf(centEgrave[]jO^NihYm aelig OumlD[SX H MeJ`QZaringN[PJaQcYkBJU^^OcircJLKfcNPbLQsO[` uumlN_WQ H MQ H YJkWKhZJUYZYQR[]OOeWNtildeJyO^Oaring

ocirc7raquo aagravejumlaacute uacuteucirc thorn yuml aduuml thorn UgraveUcircUacuteUuml yuml1 uuml thorn timesOslash yuml jaeuml eacuteHj THORN $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde auml thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afmacr]jMJUacute^JLhQVUiN H QVUPJOtilde[SXocirc cent aagravejQcY(bLfcNPYZYQcbLNPfdaring

ocirc7raquocent aagravejOcircaacute uacuteucirc thorn yuml a uuml thorn otilde)yumld huuml thorn otilde)yuml7 eacutejaeuml eacutej THORN af]jWMJLhZJ a2atildeshyszligaumlKszligYagravejQcY H MeJaumlbLjehlU~N H jehJ[SXQYacutea2atildeltszligaumlgtszligYagravej^MeJLhZJXiacute[PhZJSe H MeJOtilde^eJLhQVUiN H QVUPJ[SX H MeJgWM[]fRJOtildebnhQ H JLhQR[]O QsY H MeJordfXiacute[]fcfR[WiexclQcO[aring

ocirc raquo aagravejpoundaacute $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde aumlamp thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afzSj uacuteucirc thorn yuml aduuml thorn UgraveUcircUacuteUuml yuml uuml thorn timesOslash yuml uuml thorn otilde)yuml huuml thorn otilde)yuml eacutejaeuml eacutej THORN

^ ^~THORNUgrave2FEgraveOIgraveIcircIcirclt2EacuteltOacute Eacute0frac34ETH9Igrave8shyIgraveFEgraveEcirc+NtildeFETH3Ecirc+ltIgraveNtilde7==EacuteltEgrave7813Oacute14 ETHOEacute ETH9IgraveOacuteszligltOacuteshyEacuteOacuteAgrave+QIgraveFEumlEacuteAtilde=13ETH+ltIgrave5=KETHOEacuteshyEgravesup1euml5Oaelig[Ph^eJLh H [Tbn[]ZaringKj H J H MeJuUPJUfR[WbLQ H mUPJUb H [PhcopyeumleSWNtildeJMNUPJ H [yZ N`PJQ H NiKKEgraveJUNihyQcOH MeJhY HH WF[ ^e[]Z NPQcOaQcO H J[PhNPfcYiexcl[SX afzSjcentmJkWKhZJUYZYQcO[ H MeJZ NPY_XiacutejOb H QR[]OY[SX H MeJgUPJUfR[WbLQ H meumlQ^iexclJLhZJiexclWFJ H N`PJ H MeJ5[PJUOeJLhNPfbLNPYZJ5WiexclMeJLhZJ H MeJ^JUYZbnhQRK H [PhdYZaringNm ^eJLKEgraveJUO^ []OXiacuteJUN H jehZJUY5[]fR[PcentNPfsfVmN HH NPbMeJU^ H [ H MJtimeshJ[]QR[]OeumlNPO^eumlY[oZ Nm`^JLK=JUO^a[]O agrave^ JZOslash[W^eJUf$JUNPbdM^eJUYZbnhQRK H [PhIacuteNPYtimesNabn[]ZIacutecentQcON H QR[]OOacute[SXuXJUN H jhZJUYy[]fc[PcentNPfcfVmeumlN HH NPbMeJU^

uumlnyacutenthornnyumll13YSordmY_F

f $amp)(+-)013021+345627893lt=gt9A6CBH [ H MJOtildeJUP[]fVUBQsO[OslashhZJ[]QR[]OY_OumlcopytimesOslashKaagravejF[Ph_Ouml UgraveUacuteUuml aagravejaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejpoundaacuteAElig thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn timesOslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejszligiumlViumlViumlVszligagrave thorn timesOslash yumlaacute aagravejjuuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszligYagravejpoundaacuteAElig thorn UgraveUcircUacuteUuml yuml a2atildeltszligaumlgtszligagrave thorn UgraveUcircUacuteUuml yuml aagravejszligagrave thorn UgraveUcircUacuteUuml yumlcent aagravejszligiumlViumlViumlVszligagrave thorn UgraveUcircUacuteUuml yumlacirc aagravejjafi]j

WMJLhZJSaring agrave thorn(atilde yumlauml aacute 7aring thorn yuml5aelig thorn(atilde yumlauml a2atildeltszligaumlgtszligYagravej atilde auml WQ H Mpounda jOcircaacuteacircaVltjF[Pha Kf5 jiuml afh]j9J H jYuhY H bn[]ZOslashKj H J H MeJIacute^eJLhQVUiN H QVUPJOtilde[SXuuml thorn timesOslash yuml eFWFJgO^Oaring

aelig uuml thorn times Oslash yumlaelig agrave aacute aacuteccedilaumlegrave aelig thorn timesOslash yumlaelig agrave thorn times Oslash yumlauml a2atildeltszligaumlgtszligagrave thorn timesOslash yuml aagravejszligiumlViumlViumlVszligagrave thorn timesOslash yumlaacute aagravejj aelig agrave thorn timesOslash yumlaumlaelig agrave aagravej a s j J MNUPJOe[W H [bn[]ZOslashKj H J H MeJ ^eJLhdQVU~N H QUPJ [SXagrave thorn timesOslash yumlauml NPbLbn[Ph^QcO[ H [umlagrave^ JNiKK-fVm H MeJgMeJL[PhZJZigravefaumlNPO^WNtildeJy[PJ H aring

aelig agrave thorn timesOslash yumlaumlaelig agrave aacute $ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde auml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacutej THORN a fj

JLKfcNPbLQcO[ H MeJNtilde^eJLhdQVU~N H QUPJUY9[SX3agrave thorn timesOslash yumlauml WQ H M H MeJUQRhJkWKhZJUYZYZQc[]OYa fj9QcOa s jeSWFJ[Pcent H NPQsO H MJXiacute[]fcfR[WQcO[iexclJkBKhJUYZYZQR[]OX[Ph H MJF^e[]Z NPQcOaeligQcO H J[PhdNPf[SX H MeJ^eJLhQVUiN H QVUPJ[SX H MeJT^eJUYbnhQRK H [Ph uuml thorn times Oslash yuml aring

$ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde aumlacircaacute aacuteccedilaumlordfegrave -eacute thorn timesOslash yumlauml $ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde auml

aacuteccedilaumlordfegrave eacute thorn timesOslash yumlauml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacuteHj THORN a S jWMJLhZJSaring

eacute thorn timesOslash yumlauml aacute $ thorn yuml aelig thorn timesOslash yumlaelig agrave thorn timesOslash yumlauml a2atildeltszligaumlgtszligagrave thorn timesOslash yuml aagravejszligiumlViumlViumlVszligagrave thorn times Oslash yumlaacute aagravejj atilde auml a ]jMJIacuteJkWKhZJUYZYQR[]OwXiacute[Pha jyacuteaacute a Kf jiexclQcYbn[]ZOslashKj H JU^QsO H MeJaeligYZNSZOslashJordmZaringNPOOeJLhiexclWMQcfRJKNmBQsO[N HH JUO H Qc[]O H [ H MeJ`^QRhZJUb H QR[]O[SX H MeJ`Oe[PhlZaringNPfcopyUPJUb H [PheNPO^rWFJ H MBjY

uumlnyacutenthornnyumll13YSordmY_Fsup2

yenKbrvbarsect =4 acirc $ fmacr[Pcent H NPQsO H MeJg[PJUOeJLhNPfgJkBKhJUYZYZQR[]OXiacute[Ph H MeJauml^JLhQVUiN H QVUPJOtilde[SXocircOcircaagravejaring

ocirc raquo aagravejumlaacute uacuteucirc thorn yuml aduumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn times Oslash yuml uumlgtthorn otilde)yuml d hreguumlgtthorn otilde)yuml eacuteHjaeuml eacutej THORN aacuteccedilaumlordfegrave eacute thorn timesOslash yumlauml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacuteHj THORN acircccedilaumlordfegrave eacute thorn UgraveUcircUacuteUuml yumlauml uacuteucirc thorn yuml aelig thorn UgraveUcircUacuteUuml yumlauml aeuml eacutej THORN aacuteccedilaumlordfegrave -eacute thorn timesOslash yumlauml $ thorn yuml aelig aelig thorn

timesOslash yumlaumlaelig agrave atilde auml acircccedilaumlordfegrave eacute thorn UgraveUcircUacuteUuml yumlauml thorn yuml aelig aelig thorn

UgraveUcircUacuteUuml yumlaumlaelig agrave atilde auml a j^ ^ecirccopyEgraveEacuteshyIacuteIumlETH39shyIgrave8shyIgraveFEgraveEcirc+NtildeFETH3gt+QIgraveETHOEacute3iexclNtildeshyEgrave78QIcircETH9IgraveumlIgrave+EacuteltEumlETHshyETHEacuteshyOacuterIgrave5euml1ONtildeFETH32EacuteltOacuteEacute10wETH9Igrave Ntilde=KETH3gt+ltIgrave=EacuteshyOacuteshyETHEacute1EgraveMJ[P[]NPf[SX H MQsYampKNih H QcY H [aumlbn[]ZOslashK-j H J H MeJ(JkWKhZJUYZYZQc[]Oaelig[SX H MeJuUPJUfc[BbLQ H mUPJUb H [PheumlwWMQcbdMregZaringN`PJUY H MeJUacutebLjehYUPJJUP[]fVUPJOtildeNPYXiacuteNPY H NPYFKEgrave[]YZYZQRcent-fRJ H [WNih^Y(NZaringQcOQCZIacutejFZ[SX H MeJaeligbnhQ H JLhdQR[]Oumlocirc^KO`[Ph^eJLh H [ ^JU^jbnJ H MJyUPJUfR[WbLQ H mwUPJUb H [PhOtilde[SX H MeJaeligNPb H QVUPJbn[]O H []jehQXhZ[]Z H MeJF^eJLhQVUiN H QVUPJ0[SX H MeJNtildebnhQ H JLhQR[]OOeWFJMNUPJ H [5Z N`PJFNiKKEgraveJUNih H MeJUPJUfR[WbLQ H moUPJUb H [PhUacuteQcO H MJTfcNPY HH WNtilde[ ^e[]ZaringNPQcOaQcO H J[PhdNPfcY(centm JkWKhZJUYYZQcO[ H MeJZ NPYcentEgrave[]jO^NihYm QcO H J[PhNPfcY^FMQcYbLNPOaJUNPYZQcfVm centEgraveJauml^e[]OeJTjYZQcO[MJL[PhZJZigravefe-^[]ZaringNPQcOQcO H J[PhNPfcYbLNPOeumlNPfVWNmWYiexclcentEgraveJIacuteJkBKhJUYZYJU^ NPYcentEgrave[]jO^NihYm QcO H J[PhdNPfcY^gtiexcl[WFJUPJLheOXiacute[PhYZQCZOslashKfcQcbLQ H mSe-fcJ H jYbn[]OYZQc^eJLh H MeJaringbLNPYJUYgWMeJLhZJ H MeJUYJOslashfcNPY HH WNtilde[`QcO H J[PhdNPfcYOtildeNihZJJBjNPf H [currenLJLhZ[eOgraveWMQcbMaringMNiKKEgraveJUOYX[PhZOslash[]Y H hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhdQRK H [PhY^S5OH MN H bLNPYJSeNPbLbn[Ph^QsO[ H [ H MeJaeligQcOeJBjNPfcQ H m[SXvNPjbdMOgravemV G bdMOgraveWNih H currenSe H MeJXiacuteNPY H JUY H^eJUbnhJUNPYJa[SXocirc|aagravejOslashQcY [Pcent H NPQcOeJU^ XhZ[]Zecirca jOslashcentm bMe[B[]YZQcOF[beuml aacute ccedilyeacute WMQsbMfRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[aeligJUP[]fcj H Qc[]O JjN H QR[]OOaringaelig Yacuteaagravejaelig agrave aacuteFuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yuml uuml thorn otilde)yuml eacute aacuteccedilaumlordfegrave ETHeacute thorn timesOslash yumlauml aelig thorn timesOslash yumlauml acircccedilaumlordfegrave ETHeacute thorn UgraveUcircUacuteUuml yumlauml aelig thorn UgraveUcircUacuteUuml yumlauml lteacute a macr]jUcircX H MJ^eJUYZbnhQRK H [PhY$^e[TOe[ H ^eJLKEgraveJUO^times[]OregagravetaiacutehZJ[]QR[]OeV4QcO^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhYjeH MeJgiexcl hZJU^jbnJUY H [ H MeJordfXiacute[]fcfR[WQcO[aeligJkWKhZJUYZYQR[]OOaringaelig Yacuteaagravejaelig agrave aacuteigraveuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yumldn reguuml thorn otilde)yuml7 eacutelteacute a ]j

uumlnyacutenthornnyumll13YSordmY_FY

f $amp)(+-)013021+345627893lt=gt9A6CB JaeligbLNPO`O[ H QcbnJ H MN HH MeJtimes^eJLKEgraveJUO^eJUObnJauml[SX H MJIacute^eJUYZbnhdQRK H [PhY[]OwagraveeEgraveNPO^aY[ []OH MeJiexclbLjehYUPJJUP[]fcj H QR[]OOeQcO^jbnJUY0NP^^Q H QR[]ONPf H JLhlZaringYFQcO H MeJiexclJUP[]fcj H QR[]O JjN H QR[]O[SX H MJFNPb H QVUPJ(bn[]O H []jeh^SMeJNP^^Q H QR[]ONPf H JLhZaringYQX[]jO^IacuteQcOoa macr]jbLNPOOe[ H hZJUNP^QsfVmcentEgraveJtimes[Pcent H NPQcOeJU^ WMJUO H MeJOslash^mBONSZaringQcbLNPfampYZbMJZOslashJaringQcYOtildeQcO H hZ[W^jbnJU^eumlNX H JLh H MeJOslashbn[]ZaeligVKj H N H QR[]Oa[SX H MeJaelig^eJLhQVUiN H QVUPJaeligjYZQcO[o0jfcJLhVA9N[PhNPOF[PJIacuteJBjN H QR[]OY^MjYe-Q H QcY[SX=KhQZaringJOeJUbnJUYZYZQ H m H [TQcO H hZ[B^jbnJ H MeJ^mWONSZaringQsbLNPfeYZbMeJZaringJiexclQcO H [ H MeJbnhQ H JLhQR[]OQ H YZJUfVXiexclQcO[Phd^eJLh H [JUNPYZQsfVmsup1[PJ H H MeJUYJaNP^^Q H QR[]ONPf H JLhlZ Y QcO bLNPYJa[SXhJ[]QR[]OWV^eJLKEgraveJUO^JUO H ^JUYZbnhQRK H [PhdY^MNPO`BY H [ H MeJUYJeumlNP^^Q H QR[]ONPf H JLhlZaringYeWFJ`JUOYZjehZJH MeJordfXqNPY H JUY H JUP[]fcj H QR[]O [SX H MeJIacutebLjehYUPJ H [WNih^YiexclNZaringQcOQZIacutejZ [SX H MeJTbnhdQ H JLhQR[]OO^ JeumlbLNPO NPfcY[hZJZaringNihY` H MN H H MeJUPJUfR[BbLQ H m[SX H MeJ bn[]O H []jhQsOa macr]j bLNPOcentEgraveJ K=[]YQ H QVUPJ[PharingOeJ[]N H QVUPJS^|MQcYaeligNPO QcO H JLhZJUY H QcO[eumlKh[PK=JLh H mOacute[SXiexclhZJ[]QR[]OWVcent-NPYJU^NPb H QVUPJ bn[]O H []jehY^ q O H MeJ bn[]O H hNihYm H [ centEgrave[]jO^NihYmVcentNPYJU^7NPb H QVUPJ bn[]O H []jehdYehZJ[]Qc[]OWVcentNPYJU^7NPb H QVUPJbn[]O H []jehYOslashNPfcfR[WYZ[]ZOslashJKNih H Ytimes[SX H MeJ bLjehYUPJ H [YZMehQsO`WMQcfRJ[ H MeJLhY(JkWKNPO^O^FMjY H MeJaumlQcOQ H QsNPfcQVcurrenUN H QR[]O QcYfRJUYYbn[]OY H hNPQsOeJU^O^^ macr^iexclEacuteltIacuteETHNtildeFETHEacuteshyOacute Eacute10wETH9IgraveumlIgravesup1+shyEacuteltEumlETHETH3EacuteshyOacuterIgrave5euml1ONtildeFETH32EacuteltOacute0EacuteltEgravexIcircEacuteshyIacute5IgraveIgrave2shyNtildeshyIacuteEumlOgraveIgraveIcirclaquoEacute10C8ltIgraveIcircd=KEgrave(ETHEacuteltEgraveIcircMJu[P[]NPf[SX H MQsY$KNih H QsY H [timesbn[]ZaringKj H J H MeJiexclJUP[]fcj H QR[]O JjN H QR[]Oaring[SX H MeJNPb H QVUPJbn[]O H []jehOcircXiacute[Ph0Y[]ZOslashJ(JkeNSZOslashKfcJUY$[SX-hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhY^SgJ H jY H N`PJY[]ZaringJT^eJUYZbnhQcK H [PhY(^eJLKEgraveJUO^QsO[aelig[]O H MeJyZOslashJUNPOBSOtimesOslash [Phiexcl[]O H MeJgUiNihQcNPObnJjuFtimesOslash [SXH MeJOtildeJUP[]fUBQcOF[OslashhZJ[]QR[]OwOumlcopytimesOslashaagravejaringEFFG FFH SOtimesOslashKaagravejumlaacute iacute $ w$ thorn yuml Otilde atilde auml WiexclQ H M icirctimesOslashaacute w$ thorn yuml atilde aumlu centtimes Oslash aagravejsup1aacute iacute $ w$ thorn yuml aOtilde SOtimes OslashKaagravejj cent atilde auml^ macr^f^iumlordfcentltshyltAringordfregethIumlIgravecurrenRAringcentmicroETHfrac34IumlltlaquomicroRreglaquoNOacute]currenRlaquosectsup1jCcedilR RAringordfregL Rlaquo3shy JTbdMe[B[]YJ H MeJgXiacute[]fcfR[WQcO[OslashYJ H [SX^eJUYbnhQRK H [PhYaring

uuml thorn UgraveUcircUacuteUuml yuml ^e[BJUYOe[ H ^eJLKEgraveJUO^[]Owagraveuuml thorn timesOslash yuml aacutecntildeaLuOcenttimes Oslash j a zSjWMJLhZJampntildeaOgravejQsYNOslashKEgrave[]YZQ H QVUPJiexclXqjOb H QR[]O[SX$bLfcNPYYograve aj^MQcYiexclUPJUfR[WbLQ H mumlUPJUb H [PhOslashQcYaumlbn[]ZaringKj H JU^centmeumlhZJLKfcNPbLQsO[ H MeJ H JLhZaringYauml[SXga jgWQ H MH MeJUQch$JkBKhJUYZYZQR[]OY^ J hY H JkWKhZJUYZY H MeJ^eJUYZbnhQcK H [Ph|uuml thorn timesOslash yuml NPYyNTbn[]ZTcentQsON H QR[]O[SXamp^e[]ZaringNPQcOY(QcO H J[PhdNPfcYaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacutemiddot thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn timesOslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejjaacutecntildeoacute agrave thorn timesOslash yuml aagravejagrave thorn timesOslash yumlcent aagravejfocirc a i]j

uumlnyacutenthornnyumll13YSordmY_FPa

yenKbrvbarsect =4 acirc $ fzWMJLhZJSaring EFFG FFH agrave thorn timesOslash yuml aagravejpoundaacute w$ thorn yuml aOtildegta2atildeltszligaumlj SOtimes OslashaagravejjUcirccent atilde aumlagrave thorn timesOslash yumlcent aagravejpoundaacute w$ thorn yuml atilde auml a h]j O^ H MBjYaring aelig thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacuteacircaOtildeKa2atildeshyszligaumlFj S timesOslash aagravejjUcirccentaelig thorn timesOslash yumlcent a2atildeshyszligaumlKszligYagravej|aacute f ad s j Y5XiacuteNihaumlNPY H MeJOslash^e[]Z NPQcO`QsO H J[PhNPfsYUacute[SX H MeJOslash^eJLhQVUiN H QVUPJaelig[SX H MJXqjOb H QR[]OY aelig thorn timesOslash yumlaumlNihZJaumlbn[]ObnJLhOeJU^OeFWFJauml[Pcent H NPQsOOaringEFFFG FFFH w5$ thorn yuml frac14ltotildeouml $_divideoslashfrac14 atilde aumlordmaacute frac14ltugrave $frac14 w$ thorn yuml aOtildeKa2atildeshyszligaumlFj SOtimesOslashKaagravejj atilde aumlaacute sw5$ thorn yuml frac14ltotilde ouml $_divideacircfrac14 atilde aumlordmaacute s adfjMJ H JLhZaringY eacute thorn timesOslash yumlauml NPfcY[aringMNUPJ H [ cent=Jaumlbn[]ZaringKj H JU^OeNPO^tWNtildeJg[PJ H aringEFFFG FFFH eacute thorn

timesOslash yuml aacute w$ thorn yuml uacute ouml $_divideacircntilde raquo7ucirc uacute ouml $_divideoslashuacute ouml $_divideacircyacuteuuml atilde aumlaacutecntilde raquo aLu centtimesOslash jeacute thorn timesOslash yumlcent aacute w$ thorn yumlBthorn uacute ouml $_divideoslashthorn uacute ouml $_divideacirc yuml acirc ntilde raquo ucirc uacute ouml $_divideoslashuacute ouml $_divideacirc uuml atilde aumlregaacute u centtimes Oslash ntilde raquo aLu centtimes Oslash j

G QsObnJ H MeJOslash^e[]Z NPQcO`QsO H J[PhNPfsYiexcl[SX frac14ltotildeouml $ordfdivideoslashfrac14 NPO^ frac14ltotildeouml $_divideacircfrac14 NihZJaeligJBjNPf H [currenLJLhZ[poundadfjeWFJOtildebLNPO ^QRhZJUb H fVm bn[]ZOslashKj H J H MeJiexclUPJUfR[WbLQ H mregUPJUb H [Ph[SX H MeJOtildeNPb H QVUPJTbn[]O H []jehuXiacutehZ[]Za macr]jNPO^WNtildeJyO^Oaringaelig Yacuteaagravejaelig agrave aacuteuumlgtthorn timesOslash yuml uumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn otilde)yuml dacute uumlgtthorn otilde)yuml eacutentilde raquo aLu centtimes Oslash jaaOtilde SOtimesOslashj cent u centtimesOslash jcedilQeacute ad j5Otad jeOgraveWFJbLNPOaringhJZaringNihY` H MeJ(KhZJUYJUObnJ[SX H MJNP^^Q H QR[]ONPf H JLhlZntilde raquo aLuOcenttimesOslash jaaOtilde SOtimesOslashj cent u centtimesOslash jeacuteacirc^^ macr^ ^iumlordfcentltshyltAringordfregethIumlIgravecurrenRAringcentmicroETHfrac34IumlltlaquomicroRreglaquoNOacute]currenRlaquosectsup1jpoundn Rlaquo JTbdMe[B[]YJ H MeJgXiacute[]fcfR[WQcO[OslashYJ H [SX^eJUYbnhQRK H [PhYaring uuml thorn UgraveUcircUacuteUuml yuml ^e[BJUYOe[ H ^eJLKEgraveJUO^[]Owagraveuuml thorn timesOslash yuml aacutecntildeaOtilde S timesOslash aagravejj adS]j

uumlnyacutenthornnyumll13YSordmY_FPo

fi $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJampntildeaOgravejQsYNOslashKEgrave[]YZQ H QVUPJiexclXqjOb H QR[]O[SX$bLfcNPYYograve aj^ YKhZJUWQR[]jYZfVmSe H MeJlaquoUPJUfR[WbLQ H mfrac34UPJUb H [PhTQcYbn[]ZOslashKj H JU^eumlcentmhZJLKfsNPbLQcO[ H MJ H JLhZaringY[SXua jcopyWQ H M H MeJUQRh(JkWKhZJUYZYZQc[]OY^FMeJauml^JUYZbnhQRK H [Ph uuml thorn timesOslash yuml QcY(JkWKhZJUYZYJU^centmKaringuuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacutei thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn times Oslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejjaacutentildeoacuteOtilde agrave thorn timesOslash yuml aagravejagrave thorn timesOslash yumlcent aagravejfocirc adj

WMJLhZJSaring EFFG FFH agrave thorn timesOslash yuml aagravejpoundaacute w5$ thorn yuml Otildegta2atildeltszligaumlj atilde aumlagrave thorn timesOslash yumlcent aagravejpoundaacute w5$ thorn yuml atilde auml adSmacr]j O^ Y[aring aelig thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejOcircaacuteegraveOtildegta2atildeltszligaumljaelig thorn timesOslash yumlcent a2atildeshyszligaumlKszligYagravejOcircaacute f adS]jG QsObnJ H MeJordfXiacutejOb H QR[]OY aelig thorn timesOslash yuml NPO^ aelig thorn timesOslash yumlcent ^e[aringO[ H ^eJLKEgraveJUO^[]OtagraveeFWFJTMNUPJSaringEFFFG FFFH w$ thorn yuml frac14ltotilde5ouml $ordfdivideoslashfrac14 atilde aumlregaacute s

w$ thorn yuml frac14ltotilde5ouml $ordfdivideacircfrac14 atilde aumlregaacute s ad]zSjMJ H JLhZaringY eacute thorn timesOslash yumlauml NihZJ H MJUObn[]ZOslashKj H JU^eNPO^WFJauml[Pcent H NPQcOOaringEFFFG FFFH eacute thorn

timesOslash yuml aacute w$ thorn yuml thorn uacute ouml $ordfdivideacircntilde raquo7ucirc Otilde uacute ouml $ordfdivideoslashuacute ouml $ordfdivideacircyacuteuuml atilde aumlaacute thorn iacute $ w$ thorn yuml ntilde raquo aOtilde SOtimesOslashj atilde aumleacute thorn timesOslash yumlcent aacute w$ thorn yuml uacute ouml $ordfdivideoslashthorn uacute ouml $_divideacirc yuml acirc ntilde raquo ucirc Otilde uacute ouml $ordfdivideoslashuacute ouml $ordfdivideacirc uuml atilde aumlordmaacute ugrave $iacute $ w$ thorn yuml ntilde raquo aOtilde SOtimesOslashj atilde auml JUacutebLNPO H MeJUObn[]ZOslashKj H JUacute^QRhZJUb H fm H MJ_UPJUfR[WbLQ H mUPJUb H [Ph[SX H MeJUacuteNPb H QVUPJOtildebn[]O H []jhXiacutehZ[]Zigravea macr]j(NPO^WNtildeJyO^Oaringaelig Yacuteaagravejaelig agrave aacuteuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yumldacute uuml thorn otilde)yuml eacute aOtilde SOtimesOslashjicircFtimesOslash $ thorn yuml ntilderaquo)aOtilde SOtimesOslashjmiddotQeacute adSi]j

5O H MeJtimesKNih H QsbLjfcNihiexclbLNPYZJIacute[SXIcircntildeaOgravejuaacuteOslashScenteKWFJtimesMNUPJnntilde raquo aOgravejcopyaacute NPO^ H MeJLhZJXiacute[PhZJSeH MeJiexclNP^^Q H QR[]ONPf H JLhlZaringYebn[]ZaringQcO[gXiacutehZ[]Z H MeJ UiNihQcN H QR[]O [SX H MeJiexcl^eJUYbnhQRK H [PhYOcircWQ H MagraveeNihJJjNPf H [gcurrenLJLhZ[^[WNtildeJUPJLheWQsOordmZOslash[]Y H bLNPYZJUYe H MQsYyNP^^Q H Qc[]ONPf H JLhlZoslashQsYyOe[ H

uumlnyacutenthornnyumll13YSordmY_FPy

yenKbrvbarsect =4 acirc $ fhcurrenLJLhZ[^ not [PhaeligJkeNSZOslashKfRJSeampQVXUgraventildea]jaacute yuml Wiexcl cent eshyWiexclQ H MN`KEgrave[]YZQ H QVUPJ bn[]OY H NPO H eQWFJMNUPJSaring

ccedil aacuteFuumlgtthorn timesOslash yuml uumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn otilde)yuml uumlgtthorn otilde)yuml eacute aOtilde SOtimesOslashjicircFtimesOslash $ thorn yuml aOtilde SOtimesOslashj IcircAumlaOtilde SOtimesOslashj cent adSh]j^ ^~IacuteFEumlIgraveFIacute5IgraveFOacuteETHNtildeFETHEacuteshyOacuteAgraven13ETH9 ETH9IgraveumlEumlIgravesup1+ltIgraveFEumltIcircIgraveFETHbIacute5IgraveFETH9shyEacute18 YXqNih0NPY H MeJOBjFZOslashJLhdQcbLNPfeQZOslashKfcJZOslashJUO H N H Qc[]OtimesQsYybn[]ObnJLhOeJU^eSWNtildeJbLNPOZOslash[W^eJUf H MeJNPb H QVUPJaumlbn[]O H []jeh_WQ H MNPOJkBK-fcQcbLQ H KNihNSZOslashJ H JLhdQVcurrenUN H QR[]ObaN[PhNPO[]QcNPOXiacute[PhlZtimesjfcN~VH QR[]OKjaelig[Ph NPO QCZOslashKfcQcbLQ H []OeJraNtildejfRJLhQsNPO Xiacute[PhlZIacutejfcN H QR[]Ogtj^ G JLJra G J H MQcNPOOe5fhSh s jNPO^egraveaJUfcQcO[PJ HH J NPO^ _a[]O H N[]ON H e sSs fjX[PhaeligNPOQcO H JLhZJUY H QcO[eumlbn[]ZOslashKNihdQcY[]OcentEgraveJ H WFJLJUO H MeJ H WNtilde[ZOslashJ H M[B^Y^ iexclO[ H MeJLhOtildeQcO H JLhJUY H QcO[aringhJUBQRJW[]O H MeJtimes^Q=JLhJUO HZOslashJ H M[B^Y[SX$NPb H QVUPJIacutebn[]O H []jehQcY(Kh[PK=[]YZJU^ QcOpoundaw_[]O H N[]ON H J H NPfd^Ve sSs fj^iexclJLhZJSeWFJaumljYJ H MeJaumlfRJUPJUfYZJ H ZOslashJ H Me[W^ NiKKhZ[]NPbdM KhZ[PKEgrave[]YJU^centm q YMeJLhNPO^G J H MQcNPOa q YZMJLh NPO^ G J H MQcNPOe fhSiSi]j centj H hJ[]QR[]OWVcentNPYJU^ NPb H QVUPJeumlbn[]O H []jehdYZaringNmNPfcYZ[ centEgraveJQZOslashKfcJZOslashJUO H JU^7centmjYQcO[`XNtildeV4YK-fcQcOeJUYXiacute[PhaeligNPOJkWKfcQsbLQ H K-NihNSZOslashJnVH JLhQcurrenUN H QR[]O ayhZJUbLQc[]Y[ NPO^XNihfcNPj^Oe sSs fj^shyMJ`PJmeumlQc^eJUN [SX H MeJOslashfRJUPJUfampYJ HZOslashJ H M[B^QsY H [ QcO H hZ[W^jbnJaumlNPO`NPjkWQsfcQcNihYmXiacutejOb H QR[]O l a2atildeltszligaumlgtszligYagravejYZjbdM H MN H YacuteaagravejQcY H MJtcurrenLJLhZ[OacutefRJUPJUfYJ H [SX l ^OcircMJXiacutejOb H QR[]O l QsYaelig[SX H JUO bMe[]YJUO H [centEgraveJ H MeJYZQ[]OeJU^ ^QcY H NPObnJordfXiacutejOb H QR[]O[SXQYacuteaagraveje-NPO^ QsY H MeJUObdMNihNPb H JLhQVcurrenLJU^acentmKaring

YacuteaagravejOcircaacute a2atildeltszligaumljPO l a2atildeshyszligaumlKszligYagravejaacute s a2 s jMQcYOcirc0jfRJLhQcNPOordmXiacute[PhlZtimesjfcN H QR[]O KhZJUYZJUO H YFYJUPJLhNPfEgraveNP^UiNPO H N[PJUYga G J H MQcNPOOeKfhShS]j^not QRhY H fVmSe H MeJabLjehYUPJ l ZaringNmcenthJUN`[PhoZOslashJLhY[PJNPY H MJXiacutejOb H QR[]O l JUP[]fUPJUYeNPO^ H [PK=[]fc[S[]QcbLNPfbdMNPO[PJUYFNihZJ H MBjY$JUNPYZQsfVmOslashMNPO^fRJU^^ G JUbn[]O^fVmSe H MJJUP[]fVUWQcO[XqjOb H QR[]O l a2atildeshyszligaumlKszligYagravejNPfVWNmWY(hZJZaringNPQcOY(NlaquoXiacutejOb H QR[]O NPfcfR[WQcO[timesJltz bLQRJUO H OBjFZOslashJLhVQcbLNPfFYZbdMeJZOslashJUY^OcircMQRh^fVmSe H MeJ[PJL[]ZOslashJ H hQcb KhZ[PKEgraveJLh H QcJUYT[SX H MeJ bLjehYUPJSe$fcQV`PJ H MeJbLjehlU~N H jehJ NPO^ H MeJOslashOe[PhlZ NPfshyUPJUb H [PhordfJUfs^eacute e=bLNPO centEgraveJIacuteJUY H QZaringN H JU^euml^QRhZJUb H fmXiacutehZ[]Z H MeJTfcJUPJUfgYJ H XqjOb H QR[]Oaring aacute V ucirc l l uuml NPO^ eacuteecircaacute l l a2FfjMJJUP[]fsj H QR[]O JBjN H QR[]O H MeJUO centEgraveJUbn[]ZOslashJUYaringaelig l aagravejaelig agrave aacuteegraveccedilacute l a2 jMJregUPJUfR[WbLQ H msup1XiacutejOb H QR[]OxccedilEQcYIacutebn[]ZaringKj H JU^7[]OfVm[]O H MeJbLjehYUPJYacuteaagravejaumlcent-j H WFJbLNPO Jk H JUO^ Q H YFJkBKhZJUYZYZQR[]O H [ H MeJiexclWMe[]fRJUacuteQZaringN[PJOtilde^e[]Z NPQcOoOumlordf^[OslashQZOslashKfRJZaringJUO HH MeJIacutefRJUPJUf9YJ H ZOslashJ H Me[W^OeY[]fsj H QR[]OYuZtimesjY H centEgraveJgXiacute[]jO^ H [ bLQRhbLjZyUPJUO H Kh[PcentfRJZaringY

uumlnyacutenthornnyumll13YSordmY_FP

s $amp)(+-)013021+345627893lt=gt9A6CBbn[]ZaringQsO[ Xh[]Z H MeJpoundXqNPb HH MN H`H MeJYZQV[]OeJU^ ^QcY H NPObnJumlXqjOb H Qc[]O l QcYaOe[ H NY[]fsj H QR[]O[SX H MeJyiexcl a2 jeEgraveYJLJa []ZOslashJUYNPO^ not NPjF[PJLhNPYe sSsSs jyacuteXiacute[Phiexcl^J H NPQcfcY^5Oaelig[]jehWF[PhY`gte H MJuXiacutejOb H QR[]O l QcYamphZJUQsOQ H QcNPfcQcurrenLJU^TY[ H MN H Q H hZJZaringNPQcOYampNOtilde^QsY H NPObnJXqjOb H QR[]OenYZJLJ5aq jecentEgraveJLh H NPO^gcOtilde[PhdOeKhZ[PcentY H e sSs fJLcenthZJUjFUPJSe sSsSs jOXiacute[Ph^J H NPQcfcY[]O H MJOtildehZJUQcOQ H QsNPfcQVcurrenUN H QR[]O JBjN H QR[]OO^5Oeuml[Ph^eJLh H [QCZOslashKhZ[UPJaringOjFZaringJLhQcbLNPfJltz bLQRJUObmSeOWFJaringbn[]ZOslashKj H J H MeJOslashJjN H QR[]O[]O NIacuteONihhZ[Wcent-NPO^aringJUObLfc[]YZQcO[ H MJiexclfRJUPJUf s [SX H MeJUacutefRJUPJUf-YJ H XqjOb H Qc[]OO^ JUacuteNPfcY[jYZJZtimesjf H QRhZJUYZ[]fcj H QR[]O H JUbdMOQBjeJUYcentmZaringN`BQsO[ H MeJFNPb H QVUPJ(bn[]O H []jh$JUP[]fVUPJcopyhY H[]ONOslashfc[W hZJUYZ[]fcj H QR[]O QZ N[PJS^FMeJordfONPfbn[]O H []jeh[Pcent H NPQcOeJU^Xiacute[Ph H MQcYhJU^jbnJU^QZ N[PJaumlQcY H MeJUOjYJU^ NPYNPOQsOQ H QcNPfEgravebLjehYUPJordfXiacute[Ph H MJOtildehZJUNPfgYZQVcurrenLJaumlQCZaringN[PJS^

EparaacuteAgravegtmicrosup1acuteIKJcedilJT2MgtI MraquowMgtmicrosup1MAgravegtacuteIltacuteMgtPltAtilde iquest acuteAgravegtT2MKIshyAtildeAcirccedilAtildeacuteNicircMgtI cedilAEligMgtmicroOcircacuteOgraveJTCJT13MKI sup2OcircacuteJordfsacuteacuteI Jfrac14ltacutegcedilFLT2cedilIshyROgraveacuteAtilderaquoAMLBqoLacute13AtildeR]cedilsup32acute GmicrobcedilAgraveacuteAtilde5O H MQcYUacuteYJUb H QR[]OOeOWFJOslashKhZ[PKEgrave[]YJaeligY[]ZOslashJOslashhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhY H [YJ[iVZOslashJUO H M[]ZOslash[S[PJUOeJL[]jYiexclhZJ[]QR[]OYiexcl[]Ofrac34[PhZJmBYbLNPfRJIacuteQZ N[PJUY^gtMJUYJIacute^eJUYbnhQRK H [PhYiexclNihZJcentNPYZJU^[]O H MJZaringQcOQZaringQVcurrenUN H QR[]O [SX H MeJU~NihdQcNPObnJUYauml[SX H MJ H WF[`bn[]OYZQc^eJLhZJU^OacutehZJnV[]QR[]OY^ 5O H MJ7YJUbn[]O^ K-Nih H e H MJQZOslashKEgrave[Ph H NPObnJOacute[SX H MeJNP^^Q H QR[]ONPf H JLhZaringYebn[]ZaringQsO[XiacutehZ[]Z H MeJiexclU~NihdQcN H QR[]O [SX H MeJUacute^eJUYZbnhQcK H [PhYWQ H M H MeJiexclJUP[]fUBQcOF[IacutehZJ[]Qc[]OYeQcY9MQV[]MfcQ[]M H JU^O^ G QCZOslashKfRJJkWNSZaringKfRJUY9YMe[W H MeJ0QZOslashKEgrave[Ph H NPObnJ$[SX H MeJUYJ0NP^^Q H QR[]ONPfH JLhlZ Y H [ NPbMQRJUPJ H MeJOtildeJkWKEgraveJUb H JU^aYJ[]ZaringJUO H N H QR[]O^^f^laquoIgraveIcirc=KEgrave(FETHOEacuteltEgraveIcircEcircgtNtildeltIcircIgrave8 EacuteshyOacute ETH9Igravek+NtildeshyEgrave13NtildeshyOacute=KIgraveC0EacuteshyEgraveh4ltEgraveOIgravesup1QIcirc=NtildeltEumlOgraveIgrave2Iacute Ntilde4ltIgraveIcircMJQcO H JUOYZQ H mregXiacute[Phu[PhZJmWYZbLNPfRJaumlQZ N[PJUY(QcYhZJLKhZJUYZJUO H JU^centm NlaquoXqjOb H QR[]OOtilderegaringOgraveOumlOtilde 13ordfcentwntilde Otilde 13laquo^ JaKhZ[PKEgrave[]YJ H [bZaringQcOQZaringQVcurrenLJ H MeJU~NihdQcNPObnJUYOslash[SX H MeJ H WF[bn[]OYZQc^WVJLhZJU^ Me[]Zaring[S[PJUOeJL[]jY hZJ[]Qc[]OY QcO [Ph^eJLh H [YJ[]ZOslashJUO H H MeJZ^uMJXiacute[]fcfR[WQcO[^eJUYbnhQRK H [PhY(NihJaumlYZj[S[PJUY H JU^OaringEFG FH uuml thorn UgraveUacuteUuml yuml aacutecntildeaLuOcentUgraveUacuteUuml juuml thorn times Oslash yuml aacutecntildeaLuOcenttimes Oslash juuml thorn otilde)yuml aacutecb a2Ograve]jWMJLhZJjntildea]jQcYNOslashKEgrave[]YZQ H QVUPJordfXiacutejOb H QR[]O [SX$bLfcNPYZYEacuteograve aOtilde 13yj(NPO^kb`NOslashKEgrave[]YZQ H QUPJaumlbn[]OWVY H NPO H ^MJTbn[]ZOslashKj H N H Qc[]O[SX H MeJUPJUfR[BbLQ H mUPJUb H [PhaumlQcY^JU^jbnJU^tXiacutehZ[]Z H MeJIacutebn[]ZOslashK-j H N~VH QR[]O`[SX H MeJaelig^eJLhQVUiN H QVUPJIacute[SX H MeJtimesbnhdQ H JLhQR[]Opoundocirc7^eJUPJUfR[PKEgraveJU^ QcO G JUb^^ macr^feWMQsbMfRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[aeligJUP[]fcj H Qc[]O JjN H QR[]OOaringaelig Yacuteaagravejaelig agrave aacuteethntildeaLu centtimesOslash j ntildeaLu centUgraveUcircUacuteUuml jb ntilderaquo)aLu centtimesOslash jaaOtilde S timesOslash j cent u centtimesOslash j ntilde raquo aLu centUgraveUcircUacuteUuml jaaOtilde SUgraveUcircUacuteUumlj cent u centUgraveUacuteUuml jIcirc13eacute a2Sj

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ fMJiexclYZQcOF[]fRJiexclK-NihNSZOslashJ H JLhcopyWNtildeJOtildeOeJLJU^ H [aringNP^~ZjY H QcY H MeJUacuteYYZOslash[B[ H MQcO[timesKNihNSZOslashJ H JLhb^5OregXqNPb H e H MeJ X [W ethb MNPY H MeJiexclKhZ[PKEgraveJLh H QRJUYNtilde[SXYYZOslash[B[ H MQcOF[IacutecentEgraveJUbLNPjYJOtildeQ H ZOslash[UPJUYH MeJUacutebLjehYUPJUacuteQcO H MeJUacute^QRhZJUb H QR[]O [SX9Q H YfRJUOF[ H MregXqjOb H QR[]ONPfQa G Qs^^QBQeJ H NPfd^VeOfhShS]j^^ ^~IacuteEacuteltEgraveETHOgraveNtildeltOacute=KIgravefrac34Eacute10frac34ETH9Igrave Ntilde8182ETHEacuteshyOacuteNtildeshyEumlETHIgraveFEgraveOIacute5Icirc5O[Ph^JLh H [7JU~NPfcjN H J H MeJ QZOslashKEgrave[Ph H NPObnJ`[SX H MeJ`NP^^Q H QR[]ONPf H JLhlZaringYX[Ph H MeJYJ[]ZaringJUO H N H QR[]OeuWNtildeJpoundZaringN`PJ H MJeumlNPb H QUPJbn[]O H []jehaJUP[]fVUPJ H MehZ[]j[]M H MJ iexcla2SjeQsObLfcj^QsO[ H MeJaumlNP^^Q H QR[]ONPf H JLhlZaringY^ q O H MeJUacute[ H MeJLhMNPO^OeWNtildeJaumlNPfcYZ[ZaringN`PJQ H JUP[]fUPJfrac34WQ H M H MeJwXiacute[]fcfR[WQcO[ WhZ[]OF[JUP[]fcj H QR[]OJjN H Qc[]O H MN H ^e[JUY Oe[ HQcObLfcj^eJ H MeJaumlNP^^Q H QR[]ONPf H JLhlZaringYaringaelig Yacuteaagravejaelig agrave aacuteethntildeaLu centtimesOslash j ntildeaLu centUgraveUcircUacuteUuml j`b Qeacute iuml a2Ogravemacr]jnot [Ph H MeJOtildeJkWKEgraveJLhQZOslashJUO H YeWFJ H N`PJntildeaOgravejOcircaacute ILK KafcediliexclOgravejWMQsbM[]QVUPJUYntilde raquo aOgravejaacutefdOafcedil]j(NPO^ H MeJgUiNPfcjeJOtilde[SX H MeJaumlKNihdNSZOslashJ H JLhEacutebaQcY(YJ HH [frac34f s ^OcirckBKEgraveJLhQCZOslashJUO H Y NihZJ KEgraveJLhYX[PhZOslashJU^ []O NYmWO H MJ H Qcb`QCZaringN[PJumlZaringNP^eJeumljeK [SXTNPO

Me[]Zaring[S[PJUOeJL[]jYYYBjNihZJ[SX9QcO H JUOYZQ H mwf s []O NIacutecentNPbl`[PhZ[]jO^ [SX9QcO H JUOYZQ H mtf s ^ []NPjYZYZQsNPOOe[]QcYJUacute[SXUiNihQcNPObnJ s QcY(NP^^eJU^ H [ H MQcY(YmWO H MJ H QcbOtildeQZaringN[PJS^MeJOtildeJUP[]fcj H QR[]Oa[SX H MeJTNPb H QVUPJtimesbn[]O H []jehUacute^ehQUPJUOcentmpounda2SjQcYu[]QVUPJUO`QcO not QV[^ WMQcfRJ H MeJ[]OeJ`[Pcent H NPQcOeJU^ jYZQcO[ a2Ogravemacr]j QcYordm[]QUPJUO QcO not QV[^ ^ J bLNPO hZJZaringNihY`H MN H WMeJUO H MeJoiexclQsObLfcj^eJUY H MJ NP^^Q H QR[]ONPf H JLhZaringYe H MJ YYBjNihZJ QcYgWFJUfcfYJ[]ZaringJUO H JU^acirca not QV[^ ^bjeuWMeJLhJUNPYWiexclMeJUO H MeJ |iexclD^e[BJUY Oe[ H QsObLfcj^eJ H MeJUYJNP^^Q H QR[]ONPf H JLhZaringYwWFJ7[Pcent H NPQcO N bLQRhbLfcJOacuteQcOY H JUNP^ [SX H MeJ7JkBKEgraveJUb H JU^YYBjNihZJa not QV[^ ^bj^MeJUYJhZJUYZjf H YNtildebLNPOcentEgraveJcentEgraveJ HH JLh(jO^eJLhY H [[W^WMQcfRJNPONPfmcurrenUQcOF[ H MeJiexclUPJUfR[WbLQ H mUPJUb H [PhYUacute[SXNtildeJUNPbMJUP[]fsj H QR[]O JjN H QR[]OO^ Jaringbn[]ZOslashKNihZJ H MeJ H WF[ JUP[]fcj H QR[]OYiexcl[SXH MeJlaquoUPJUfR[WbLQ H mwUPJUb H [PhYauml^jehQcO[ H MeJaeligKhZ[PKN[]N H Qc[]Oeuml[SX H MeJOslashbLjehYUPJwa2WiexclQ H Me[]j HH MeJcentEgrave[]jO^NihYmVcent-NPYJU^ H JLhlZb j^MeJ(JUP[]fcj H Qc[]OOslash[SX H MeJNSZOslashKfsQ H j^eJ[SX H MeJyacuteUPJUfR[Wb|VQ H mregUPJUb H [Ph[SXQ|iexcla2SjFQsY[]QUPJUO QcO not Q[aqYj^ ^ ^OecurrenJSe Xfrac34]eWMQsfRJ H MeJOtildeNSZOslashK-fcQ H j^eJ[SX H MeJUPJUfR[WbLQ H mwUPJUb H [PhOtilde[SX||iexclacirca2Ogravemacr]jiexclQcY []QUPJUO`QcO not QV[aqYj^ ^ ^OecurrenJSe Xfrac34]^ JOslashbLNPO[PcentYZJLhYUPJ H MN HaringH MeJUPJUfc[BbLQ H msup1WiexclQ H Me[]j HaeligH MeJNP^^Q H QR[]ONPf H JLhlZaringY QcYaeligNbn[]OY H NPO HWMJLhZJ [PcentUWQR[]jYfVm H MJaQZaringN[PJfrac34XJUN H jehJUY ^e[OacuteO[ H NiKKEgraveJUNih^ q O H MeJabn[]O H hNihYmH MeJaumlQCZaringN[PJordfXJUN H jhZJUYuWFJUfcfNiKKEgraveJUNihQcO H MeJordfUPJUfR[WbLQ H m QcObLfcj^QcOF[ H MeJaumlNP^^Q H QR[]ONPfH JLhlZ Yya not QV[aqYj^ ^ ^OecurrenJSe Xfrac34jiexclNPO^ Y[ H MeJaumlYljNihJTbLNPO centEgraveJordfWNtildeJUfsfYJ[]ZOslashJUO H JU^O^MeJyKhZJUWQR[]jYEgravehJUYZjf H YgYMe[W H MN H Q H QcY[SXeKhQCZOslashJ$OeJUbnJUYZYZQ H m H [ H N`PJQcO H [NPb|Vbn[]jO H0H MJNP^^Q H QR[]ONPf H JLhZaringYeWbn[]ZaringQcO[XhZ[]Z hZJ[]QR[]OeV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhYeQcO[Phd^eJLh H [ hZJUNPbdMaN H hdjeJgZaringQcOQCZIacutejFZ [SX H MeJaumlbnhQ H JLhdQR[]OO^

uumlnyacutenthornnyumll13YSordmY_F

S $amp)(+-)013021+345627893lt=gt9A6CBEIumlparaacuteAgravegtmicrosup1acuteIKJcedilJT2MgtI MraquoordfAEligMgtsup32MLwMKmicrobMgtAgraveacuteIshyacuteMgtPltAtilde iquest acuteAgraveKT13MKIshyAtildeAcirclaquocedilFAtildeacuteNicircMKIJfrac14ltacutepoundAEligMAringcedilFLT2cedilIltR]acuteHcedilJLTOcircfrac12sup3T13ROgravecedilJT2MgtI JMAgraverltcedilFR]acuteacuteJacuteR]JT2MgtIicircT2ItT2NQacuteM paraacutePshyacuteIltR]acuteAtildeMQcY0K-Nih H ^eJUNPfcYWQ H M H MeJOtildeYJ[]ZOslashJUO H N H QR[]O [SXMe[]ZOslash[S[PJUOeJL[]jY(hZJ[]QR[]OYQcOZtimesjfuVH QcYZK=JUb H hdNPfQZaringN[PJUY^ YNPOaJkWNSZaringKfRJSeWFJIacuteYZMe[W H MN HiexclH MeJTbn[UiNihQcNPObnJZaringN H hQVkbLNPOacent=JIacuteNUPJLhYm KEgrave[WFJLhYXqjf H [B[]f H [ YJ[]ZOslashJUO H Me[]Zaring[S[PJUOeJL[]jYbn[]fR[PhiexclhJ[]QR[]OY^F5OXqNPb H e H MeJtimes^eJ H JLhlZaringQsONPO H [SX H MeJTbn[U~NihQsNPObnJZ N H hQkKhZ[UPJUY H [ centEgraveJIacuteNaringhJUfRJU~NPO Hbn[]fR[PhaelighZJ[]Qc[]O7M[]ZOslash[S[PJUOeJUQ H msup1ZOslashJUNPYZjhZJZOslashJUO H a G NPO[SWQcOeJ NPO^r[PhdOeJSeufhShSi]j^_`QcOQZ QVcurrenUQcO[ H MQcYjNPO H Q H m ZOslashJUNPOY H MN H WFJwWNPO HH [^eJUbnhZJUNPYJ H MeJeumlbn[]ZaeligVKfcJkWQ H m[SXUacuteNeumlhZJ[]QR[]Oa hdNmJ H NPfd^Ve sSs fampN H JUjke sSsSs j^MQcY H [B[]fuZaringNmKhdNPb H QcbLNPfcfVm cent=JaumljYJU^X[Ph XiacuteNPbnJtimes^eJ H JUb H QR[]OaQsO QZaringN[PJaumlYJBjeJUObnJUY^macr^f^laquoIgraveIcirc=KEgrave(FETHOEacuteltEgraveIcircEcircgtNtildeltIcircIgrave8 EacuteshyOacute ETH9IgraveAgrave=Eacute3+NtildeshyEgrave13NtildeshyOacute=KIgravefrac34Iacute_NtildeFETHEgraveEcirc20EacuteshyEgrave=EacuteshyEumlEacuteshyEgrave2Iacute Ntilde4ltIgraveIcircMJQcO H JUOYZQ H mxXiacute[Ph bn[]fR[Ph QCZaringN[PJUYaringQcYOslashhJLKhZJUYJUO H JU^centm7NpoundXiacutejOb H QR[]OOtildeegravearingOumlOtilde 13ordfcent ntilde Otilde 13 WMeJLhZJ Otilde aacute Otilde szligYOtildeOgravecentszligYOtilde13ordf ^iexclXm NPONPfR[S[SmAumlWQ H M H MeJOacuteY H j^Fm Xiacute[Ph[PhZJmWYZbLNPfRJFQZaringN[PJUYeWNtildeJZaringQcOQCZaringQVcurrenLJ H MeJNtilde^J H JLhlZaringQcONPO H [SX H MeJFbn[UiNihQcNPObnJcopyZaringN H hQVk[SX H MeJTbn[]OYQc^eJLhZJU^hZJ[]Qc[]OY^ J5ZaringNmaringNPYYZjFZOslashJ H MN H JUNPbdM bn[]fR[PhFhZJ[]QR[]Oacute13 QsYOcircZOslash[W^eJUfcfRJU^OslashcentmOslashNg[]NPjYYZQcNPO^QsY H hQRcentj H QR[]Oeuml[SXyacuteZOslashJUNPOiexclSegraveaacute S szligPS cent szligPS NPO^7bn[UiNihQcNPObnJZ N H hQk5^MeJKh[PcentNicentQcfcQ H maring^eJUOYQ H moXiacutejOb H QR[]O QcYu[]QUPJUO centm H MeJgXiacute[]fcfR[WQcO[aeligJkWKhZJUYZYQR[]OOaring

$ampamp aOtildejOcircaacute fa )( j +cent aq^J H ayacutejj cent JkWK- f aOtilde Sltj thorn aOtilde Sltj a2Ograve]jG [eZaringQcOQZaringQVcurrenUQcOF[ H MJbn[U~NihdQcNPObnJuZaringN H hQktimes^eJ H JLhlZaringQcONPO H [SX-NPOtimesJUP[]fVUWQcO[hJ[]QR[]ONiKKEgraveJUNihY H [OslashcentEgraveJNtimeshZJUfcJU~NPO HH [[]f H [ordmZaringN`PJ H MQcYFhZJ[]Qc[]O bn[]OUPJLhY[PJ H [WFNih^Y H MeJbLfR[]YZJUY H Me[]ZOslash[S[PJUOeJL[]jYbn[]fR[PhiexclhZJ[]QR[]OO^9J H jY$Oe[ H J timesOslash NPO^0copyUgraveUcircUacuteUuml H MJbn[UiNihQcNPObnJ5ZaringN H hQcbnJUYy[SX=hJUYKEgraveJUb H QVUPJUfVmordmOuml timesOslash aagravejNPO^tOuml UgraveUacuteUuml aagravejaring

atilde aacute213 u Patilde u centatilde u atildeu cent atilde u centcentatilde u cent4atildeu5 atilde u5centatilde u54atilde67 a2zSj

WMJLhZJSaringEFFG FFH u times aumlatilde aacute iacutefaring w aring thorn yuml aOtilde times S times atilde jaOtilde auml S auml atilde j atilde aumlS times atilde aacute iacutefaring w aring thorn yuml Otilde times a2atildeltszligaumlj atilde auml WQ H M aacuteiVIgraveOacute[Ph Kf5

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ J [PcentUWQR[]jYZfm`MNUPJacuteu times aumlatilde aacuteu auml timesatilde ^shy9J H jYaumlO[ H J ^eJ H a atilde j H MJ ^eJ H JLhlZaringQsONPO H [SXH MeJaumlbn[U~NihdQcNPObnJZ N H hQkWiexclMQcbMJkBKhJUYZYZQR[]O QcY H MJgX[]fsfR[WQsO[aring

^eJ H a atilde jumlaacute u Patilde u centcentatilde u 4atilde u centatilde u atilde u cent4atilde u Patilde u cent4atilde u cent4atilde u centcentatilde u atilde u atilde u 4atilde u centatilde u centatilde a2Ogravei]jnot jOb H QR[]OY [SX H MeJeumlbn[UiNihQcNPObnJpoundZaringN H hQk ^eJ H JLhZaringQcONPO H YNihZJ jYJU^ NPY hJ[]QR[]O^eJUYbnhQRK H [PhY^ JIacutebMe[B[]YJ H MJordfX[]fcfc[WQcOF[aeligYZJ H [SX$^eJUYZbnhQRK H [PhYaringEFG FH uuml thorn UgraveUcircUacuteUuml yuml aacute98ordfaq^eJ H acopyUgraveUcircUacuteUumlAjjuuml thorn timesOslash yuml aacute98ordfaq^eJ H a timesOslash jjuuml thorn otilde)yuml aacuteOslashb a2Ograveh]jWMJLhZJ8ordfaOgravejFQcYNOslashKEgrave[]YZQ H QVUPJiexclXiacutejOb H QR[]O [SXampbLfcNPYZYograve aOtilde 13yjFNPO^Cb`NOslashKEgrave[]YZQ H QVUPJOtildebn[]OWVY H NPO H ^gJ H jYNtildeOe[W WhQ H J H MeJJUP[]fcj H Qc[]OaringJBjN H QR[]O [SX H MeJiexclNPb H QUPJbn[]O H []jehcentmbn[]ZOslashK-j H QcO[ H MJIacute^QEgraveJLhZJUO HH JLhlZaringYiexcl[SX_a j^J H NPQcfcYiexcl[SX H MeJIacutebn[]ZaringKj H N H QR[]O bLNPOcentEgraveJgXiacute[]jO^QsOaNiKKEgraveJUO^QVk X5^gtMJaumlJUP[]fcj H QR[]O`JBjN H QR[]O[SX H MJIacuteNPb H QVUPJaeligbn[]O H []jhQcY H MJgX[]fsfR[WQsO[aringaelig Yacuteaagravejaelig agrave aacute8gaq^eJ H atimesOslashjj 8ordfaq^eJ H a UgraveUcircUacuteUuml jj`b admacr s jlt8Icircraquodaq^eJ H a times Oslash jgt= ccedil A B egrave aOtilde S timesOslash jaOtilde B5 S BtimesOslash jB^eJ H aDC EBtimesOslash ja fj BGFH amp^eJ H atimesOslashj48 raquo aq^eJ H atimesOslashjj 8Icircraquodaq^eJ H a UgraveUacuteUuml jgt= ccedil I B egrave aOtilde Eacute S UgraveUcircUacuteUuml jaOtilde B S BUgraveUcircUacuteUuml jB^eJ H aDC JBUgraveUacuteUuml ja fj BKFH amp^eJ H a UgraveUcircUacuteUuml j48 raquo aq^eJ H a UgraveUcircUacuteUuml jjcedil13eacuteMJZaringN H hdQkLC JBatilde QsY ^JU^jbnJU^icircXh[]Z H MJeumlbn[U~NihdQcNPObnJbZaringN H hdQkM atilde centm YZjeKeVKhJUYZYZQcO[ H MeJ uuml UumlON hZ[WENPO^ H MeJ I UumlON bn[]fcjFZaringO^MeJeumlfcNPY H Xiacute[]jeh fsQcOeJUY [SX H MeJJBjN H QR[]ONihZJ H MeJOtildeNP^^Q H QR[]ONPf H JLhZaringY(bn[]ZaringQcO[XiacutehZ[]Z H MeJiexclU~NihQsN H QR[]O [SX H MeJOtilde^eJnVYZbnhdQRK H [PhYWiexclQ H Mordmagrave^ Y0Q H MNPYycentEgraveJLJUOOslashKhJUBQR[]jYZfVmTKhZ[UPJU^X[Ph[PhZJmWYZbLNPfRJiexclQCZaringN[PJUYeH MeJUYZJ H JLhlZaringYMNUPJ H [ cent=Jaumlbn[]OYZQc^eJLhZJU^ QsO[Ph^eJLh H [regZ N`PJ H MeJTNPb H QUPJTbn[]O H []jhbn[]OUPJLhY[PJ H [WFNihd^YNZ QcOQZtimesjFZ [SX H MJTbnhQ H JLhQc[]OO^macr^ ^~THORNUgrave2FIgraveFEgrave2Iacute_IgraveFOacuteshyETHOgraveNtildeshyEumlEgraveOIgraveIcircdEumlETHOIcircnot [Ph H MJ JkWKEgraveJLhQZOslashJUO H YeQWNtildeJ H N`PJCntildea]jordmaacute ILK Kaf[]jgWMQsbMsup1[]QVUPJUYnntilde raquo aOgravejaacutefdOafWOgravej(NPO^8ordfaOgravejaacute ILK KafIcirch cent juWMQcbdMt[]QVUPJUY8 raquo aOgravejaacute ETHOafIcirch cent j^ JbdMe[[]YZJ bbaacute f s ^QMeJaringbn[]fR[PhtimesYKNPbnJ YJUfcJUb H JU^QcYaQPszlig l szligicirclaquojeltWMeJLhZJwaOtilde aacuteRPordmjhZJLKhZJUYJUO H Y H MeJfsjFZaringQcONPObnJNPO^waOtildeOgravecent5aacute l j$NPO^frac34aOtildeS aacuteOslashicircj$hZJLKhZJUYJUO HyH MeJ H WF[bdMehZ[]ZaringQcONPObnJUY^ not [Ph H MeJbn[]ZaringKj H N H QR[]OOslash[SX H MeJuUiNihQcNPObnJSei[]Ofm H MeJfcjZaringQcONPObnJQcY(jYJU^O^

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CB5Oaring[Phd^eJLh H [aeligYJ[]ZOslashJUO H NPO Me[]ZOslash[S[PJUOJL[]jY0hJ[]QR[]OOeOgraveWFJiexclY H Nih H WQ H M NPO QcOQ H QcNPf

bLjehlUPJ0QcOYZQs^eJ H MJ0hZJ[]QR[]Oauml[SXWQsO H JLhZJUY H ^MeJybLjhYUPJ0QcY H MJUOTYZjeKK=[]YZJU^ H [JkWKNPO^jO H Qcf(Q H hJUNPbMeJUY H MeJ centEgrave[]jO^NihlmOacute[SX H MeJabn[]ObnJLhdOeJU^ Me[]Zaring[S[PJUOeJL[]jYaringhJ[]QR[]OO^MJtimesbLjehlUPJtimes^e[BJUYUacuteOe[ H [P[cent=JmP[]O^ H MJUYJaeligcent=[]jO^NihQRJUYiexclYZQcObnJSe=[UPJLh H MeJLhZJSe H MeJbnhQ H JLhQR[]OOacuteQsObnhZJUNPYJUYtimescentEgraveJUbLNPjYJ H MeJU~NihdQcNPObnJOcircu centtimesOslash [Ph H MeJ bn[U~NihdQcNPObnJtZaringN H hQVk^eJ H JLhZaringQcONPO H ^eJ H atimesOslashjUcirccentOtildeQsObnhZJUNPYJS^MeJaringNPfV[P[PhQ H MZEcentNPYJU^[]O H MeJ bn[UiNihQcNPObnJZaringN H hQVkeumlQcYaumlK=JLhlX[PhlZaringJU^euml[]ONPOQZ N[PJ [SX H MeJUBQs^eJL[`YJBjeJUObnJrnN`WQVmP[]peumlQcO[Ph^JLh H [euml^eJ H JUb HaeligH MeJYKEgraveJUN`PJLhUTYXqNPbnJS^gtMJaumlJUP[]fcj H QR[]O[SX H MJIacutebLjehYUPJIacuteQcYu[]QVUPJUO QcO not QV[^ macr^gtMeJTbn[]O H []jehiexclJUP[]fUPJUYH [ONPfcfVmbn[]OUPJLhY[PJaelig[]O H MeJIacutecent=[]jO^NihQRJUY[SX H MJyXqNPbnJa not QV[^ macr^bj^OMeJyXiacuteNPbnJaeligQcYH MeJUONPbLbLjehdN H JUfVm YZJ[]ZOslashJUO H JU^^FMeJUacuteNSZOslashKfcQ H j^eJ[SX H MeJiexclUPJUfR[BbLQ H m QsYFNPfsY[laquo[]QVUPJUOQcO not QV[aqYj^ macr^ ^OecurrenJSe Xfrac34jNPO^WNtildeJUacutebLNPO [PcentYJLhYUPJ H MN HFH MeJ5XiacuteNPbnJUacutehZJ[]QR[]O QcYUPJLhYmWFJUfcf^eJUfsQZaringQ H JU^regXhZ[]Z H MJ[ H MJLhhZJ[]QR[]OY^MJ5UPJUfc[BbLQ H m[]QUPJUO QcO not QV[aqYj^ macr^ ^OecurrenJSe XQcObLfcj^eJUY H MeJNP^^Q H Qc[]ONPf H JLhlZaringYFbn[]ZaringQcOF[yXiacutehZ[]Z H MeJ5UiNihQcN H QR[]O [SX H MeJiexcl^eJUYbnhQRKeVH [PhY5WQ H Magrave`centj H ^e[BJUYOtildeOe[ H QcObLfcj^eJ H MeJaeligcentEgrave[]jO^NihlmVcentNPYZJU^ H JLhlZ WMQcbMeumlQcYUacuteNYYZaring[[ H MQsO[ H JLhlZ^KMeJtimesNSZOslashKfcQ H j^eJOtilde[SX H MeJyUPJUfc[BbLQ H maQcYiexclOe[PhlZaringNPfcQcurrenLJU^ centEgraveJ H WFJLJUOs NPO^ macrSmacre$YZjbdM H MN HTH MeJ OeJ[]N H QVUPJoU~NPfcjJUYIacuteNihZJ fR[WFJLh H MNPO f i`NPO^ H MeJKEgrave[]YZQ H QUPJ[]OJUYNihZJTMQ[]MeJLh H MNPOpoundf i^ J bLNPObn[]ZaringKNihZJ H MJ QcOQ H QsNPfUPJUfR[BbLQ H m[Pcent H NPQcOJU^jYZQcOF[ H MeJ bn[U~NihQsNPObnJZaringN H hdQk admacr s juWQ H M H MeJOtilde[]OeJOtilde[Pcent H NPQcOeJU^jYQcO[ H MeJordfUiNihQcNPObnJrega2Sj^KMeJordfXqNPbnJTQcYOe[ H WNtildeJUfsf9^eJ H JUb H JU^QcO H MeJUPJUfR[BbLQ H m[Pcent H NPQsOeJU^ajYQcO[ H MeJUiNihQcNPObnJa not Q[^ ^bjWMJLhZJUNPYIacuteQ H QcYIacutehZJUNPfcfmumlWNtildeJUfcfF^eJ H JUb H JU^QsO H MeJQcOQ H QcNPfUPJUfR[WbLQ H m7jYZQcOF[ H MeJbn[iVUiNihQcNPObnJpoundZ N H hQk a not QV[^ ^currencentj^_MeJ UPJUfR[WbLQ H m [Pcent H NPQcOeJU^ jYZQsO[ H MeJumlU~NihdQcNPObnJ^e[BJUYOe[ H NPfsfR[W NPOJltz bLQRJUO H YJ[]ZOslashJUO H N H QR[]O`[SX H MeJyXiacuteNPbnJauml[]O H MeJaumlbn[]O H hNihYm H [H MeJIacutebn[UiNihQcNPObnJlaquoZaringN H hQk^eJ H JLhZaringQcONPO H WMQsbM H N`PJUYUacuteNP^UiNPO H N[PJaelig[SX H MeJtimesbn[]fR[PhQcOFX[PhlZ N H QR[]OO^macr^ ^WVFEumlETH=gtNtildeFETH32EacuteltOacuterETHEacute`0Ntilde=KIgravek8ltIgraveFETHIgrave5=KETH32EacuteltOacute~2Oacute+(8ltIgraveEacute IcircIgrave5euml1IgraveFOacute=KIgraveIcircMJa^eJUYZbnhQcK H [PhYOslashcentNPYZJU^[]O H MJ`bn[UiNihQcNPObnJZaringN H hdQkNihJ`QZOslashK-fRJZOslashJUO H JU^ H [^eJ H JUb H MBjFZaringNPO XqNPbnJUYQcO UWQc^eJL[OacuteYJBjeJUObnJUY^MQsYaring^eJ H JUb H QR[]OegraveZaringNm cent=J`jYJU^Xiacute[PhtUWQc^eJL[ bn[B^QcO[ H [JUObn[W^eJYJUfcJUb H QVUPJUfVm H MeJOacuteMBjFZaringNPOegraveXqNPbnJS^ not [Ph`N []QVUPJUObn[]ZOslashKhZJUYZYZQR[]OOacutehN H QR[e H MeJoXiacuteNPbnJbLNPO7cent=J H hNPOYYZ Q HH JU^bWiexclQ H MN MQV[]MJLhThN H J H [H MeJ^eJ H hdQZOslashJUO H [SX H MeJcentNPbl`[Ph[]jO^O^uMQsY QsO H JLhZJUY H QcO[KhZ[PKEgraveJLh H m QcYUiNPfcjWVNicentfcJuX[PhUBQc^JL[Bbn[]OXiacuteJLhZJUObnJUYe]WMeJLhZJ H MeJ ZOslash[]Y H QZOslashKEgrave[Ph H NPO H NPO^regZOslash[]Y H U~NihdQcNicentfRJQcOFX[PhlZ N H QR[]OQcYfR[WbLN H JU^ []O H MJordfXiacuteNPbnJaq 5ZOslash[]Oe[]j`NPO^tUacutejMNSZaringJUfde sSsSs j^ J QcOQ H QcNPfcQVcurrenLJ H MJhdY H XiacutehNSZOslashJoWQ H M7N`bLQchbLfRJ QsOYZQc^eJ H MeJXqNPbnJ H [ H hNPbY`K^MJUOOeyacuteWFJsup1ZaringN`PJ H MeJNPb H QVUPJ7bn[]O H []jeheumlJUP[]fVUPJjYZQcOF[admacr s jeiexclWQ H MX8ordfaOgravejxaacuteILK KafUgravemiddot cent j^ltMeJregONPfybn[]O H []jehtimes[SX H MeJ bLjehZhJUO H QZaringN[PJ QcY H MeJUOOacutebdMe[]YJUO7NPYNPO QcOQ H QcNPfbLjhYUPJordfX[Ph H MJUacuteOJk H QZaringN[PJS^FMeJOtildeNPfV[P[PhQ H MFZMNPYcentEgraveJLJUOKEgraveJLhYXiacute[PhlZOslashJU^[]OYJUPJLhdNPf$YJjJUObnJUY^MeJaelighZJUYjf H Y5X[Ph H MJaeligYZJjeJUObnJpoundn5JLhQV`p NihJordm[]QVUPJUOQcOnot QV[^ethz^shyMeJaringKNihNSZaringJ H hZJ bMNPYaumlcentEgraveJLJUOYZJ HaumlH [sup1f s ^QMeJordmXqNPbnJ QcYordfWFJUfcfy^J H JUb H JU^NPO^ H hNPbY`PJU^times[]O H MJ|WMe[]fcJyYJjJUObnJS^MJyhZJUYZjf H YOX[Ph H MeJNtildeYZJjeJUObnJnN`WQVmP[]p

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ macrNihZJy[]QVUPJUO`QsO not QV[^ i^ JaeligbMe[B[]YJbaacute s ^ JtimesbLNPO`YJLJ H MN HH MeJXiacuteNPbnJaeligQcYuWFJUfcf^eJ H JUb H JU^aJUPJUOaQVX H MeJaumlbn[]fR[Phiexcl[SXMJLhYZMQRh H QsY(bLfR[]YJ H [ H MJgXiacuteNPbnJIacutebn[]fR[Ph^

YOEAEligMgtIltROgravesup3PshyAtildeT13MKI5O H MQcYKNiKEgraveJLheuWNtildeJKhZ[PKEgrave[]YJN OeJW 0jfRJLhQcNPOAumlZaringQsOQZaringQVcurrenUN H Qc[]OAumlZOslashJ H Me[W^ H [bn[]ZOslashK-j H J H MJUPJUfR[WbLQ H mpoundUPJUb H [Pharing[SXNPONPb H QVUPJ bn[]O H []jeh H MN H JUOYZjehZJUYtimesQ H WQcfcfJUP[]fVUPJ NPYordfXiacuteNPY H NPYOtildeKEgrave[]YZYZQRcentfcJ H [WNih^YIacuteNZaringQcOQCZIacutejFZ [SXN bnhQ H JLhQR[]OeumlQcObLfcj^QcOF[centEgrave[ H MUacutehZJ[]QR[]OeVcentNPYJU^TNPO^OtildecentEgrave[]jO^NihYmVcentNPYJU^ H JLhlZ Y^ q jehgNiKKhZ[]NPbMIacuteQcYcentNPYZJU^Otilde[]OYZMNiK=J[PK H QZaringQVcurrenUN H Qc[]OOslashKhQcObLQRKfRJUY$NPO^ QcYyKEgraveJLhYXiacute[PhlZOslashJU^ QcO H MehZJLJ5ZaringNPQcO Y H JLKYaringf^ltO H hZ[W^jb H QR[]O[SX$NOslash^mWONSZaringQcbLNPfYbMeJZOslashJIacuteQcO H MeJTbnhQ H JLhQR[]OOe ^vF[]ZOslashKj H N H Qc[]Oaelig[SX H MeJ_0jfRJLhdQcNPOaelig^eJLhQVUiN H QVUPJ[SX H MJbnhQ H JLhQR[]OOslashjYZQcO[OtildeYZMNiKEgraveJ

[PK H QZaringQVcurrenUN H Qc[]O H [[]fcYe^vF[]ZOslashKj H N H Qc[]Oa[SX H MeJtimesJUP[]fcj H Qc[]OaJBjN H QR[]O`[SX H MeJaeligNPb H QVUPJtimesbn[]O H []jehiexclXiacutehZ[]ZH MeJT^eJLhQU~N H QVUPJS^

iexcl Ntilde _ cent G NPfcfR[WY H [hJUNP^QcfVm H N`PJNtildeQcO H [NPbLbn[]jO H9H MeJybLNPYJ0[SXBhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H^eJUYbnhQRK H [PhY H MN H NihZJo[]fR[PcentNPfcfVmN HH NPbdMeJU^ H [ H MeJ JUP[]fVUWQcO[ hZJ[]QR[]OYtimesNPO^Y[H MN H UiNihYm^jehQsO[ H MJaumlKhZ[PKN[]N H Qc[]O [SX H MJaumlbLjehYUPJS^ JTYMe[W H MN HH MeJgUiNihQuVN H QR[]O [SX H MeJUYJ^JUYZbnhQRK H [PhdY QsO^jbnJUYNP^^Q H QR[]ONPf H JLhlZaringYQcO H MeJeumlJUP[]fcj H QR[]OJBjN H QR[]Oeuml[SX H MeJaringNPb H QVUPJ bn[]O H []jeh^MJUYJ H JLhlZaringYgZtimesjY H Oe[ H centEgraveJlaquoX[Phl[P[ HH JUOQcO[Ph^JLh H [ hZJUNPbMeumlN H hjeJZ QcOQZtimesjFZ[SX H MeJtimesbnhQ H JLhQc[]OaNPYUacuteQ H MNPYcentEgraveJLJUOKEgrave[]QcO H JU^[]j H QsOJkBKEgraveJLhQZaringJUO H NPfEgravehZJUYjf H Y^

Yfrac34XiacuteNiheumlNPYeumlMe[]ZOslash[S[PJUOeJL[]jYeumlbn[]fR[PheumlhZJ[]Qc[]OY`YZJ[]ZOslashJUO H N H Qc[]OQsY`bn[]ObnJLhdOeJU^OeWFJKhZ[PKEgrave[]YJ H MeJ`bn[U~NihQsNPObnJfrac34ZaringN H hdQk^eJ H JLhlZaringQcONPO H NPY N^eJUYbnhQRK H [Ph^MQcYY H N H QsY H QcbLNPfhZJ[]QR[]OeV4^eJLKEgraveJUO^eJUO H ^JUYZbnhQRK H [PharingNiKK=JUNihdY H [centEgraveJN UPJLhlm7hJUfRJU~NPO HH [B[]fampNPO^eumlY[ Q H MNPYUacutecent=JLJUOeumlYZjbLbnJUYZYXqjfcfVm NiKKfsQRJU^ H [XqNPbnJaring^eJ H JUb H QR[]OQcOfrac34UWQc^eJL[YJBjeJUObnJUY^

iquest acuteraquoacuteLacuteIltR]acuteAtildeagraveIgravefrac14dEcircsup1Atilde5AringiquestLmiddotNtildeIumliquestUumlgIumlUTHORNampAtildeEacutecedilAtilde5AringAcircnAtilde|iquestaacuteIacuteIumlIZEgravefrac14Zcedilfrac12frac14dAringiEcirc]iquestfrac14draquoiEcirc[NtildeIumlagraveAringEacutePAtildecedilwAacute4] uacute_^J^J^ iquest)` igraveraquoLCcedilfrac14cedil4Ecircfrac14draquo~Ecirc(Auml|AringAacuteCcedilfrac14Zcedil4Ecirc

Agrave5AringcedilAcircnAtilde$AtildeAcircnAuml|frac12AringAacutesup1AumldraquoTAringAEligwsup1raquo~ordm(frac12Atilde5AcircnAtilde5frac12AEligwAtildeAacuteampIgrave(Atilde AacuteIcirc~AumlUEcircSaIumligraveraquo13] x4~rv p4PldrRtcoPl|Egraveod5v pv i4vodaumlx4shyl not vsectpqo v tu not Iumlcb$Auml|EacutePAtilde|iquestednfrac14Oumlifrac14draquoIuml

agraveIgrave(Aumldraquo~Auml|Aringiquest~igrave4IumlPfrac14raquoiEcircfWIumliTHORNampAringIcircifrac14Igrave(Atilde5frac12G] divideugrave|ugrave|ugrave iquest` igraveAacuteAtildecedil4frac14ZAacutesup1Acirc|AtildeNtildeEacute~frac14dAgrave4UgraveUCcedilEgravefrac14cedil4EcircUacuteAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoUacuteOgraveregAumldcedilIcirc~sup1Atildecedil4frac14cedilAgrave4Icirc~sup1currenEumlAgravefrac14dfrac12=CcedilEgravefrac14AcircnAtilde5frac12AtildeAacutesup1Igravefrac14ordm|AtildeAgrave5AumlUEcircsup1raquo~ordmIaIumlaeligigraveiacuteraquoS] x4rv p ildrRtcodil|ampod5v pv P4vOtildeodOslashx4shy(l not vFsectpqo v tu not Iumlg frac14raquo~Agrave5AumldAring~AcircnAtildecediliquestehEgravefrac14raquoifrac14|Ecircfrac14Iuml

agraveAringEacutePAtildecedilwAacuteiquest[NtildeIumlWfrac14raquoiEcircifWIuml13b$Aumldcedilraquo~OumlcedilAuml|EacuteAEligqAacute4] divideugrave|ugraveuacute iquestkj ldrregv shy(ldrRtcl|ipwonm5v shyNtildetuOslashtushyl not vampipwo4v tu not sect9ldp4rRtcl|Egravedt lv pv ~rRtRl|9vDm~lrRtcod~ldiTrreg~vUacutel| Uiexcloqnldp4tcldrRtRod~ iquestpoAumlIuml uacute_qEr IumlOslashagrave9Ouml~Oumlfrac12sup1AtildeEcircaacuteUacutefrac14AacuteIcirc~AtildeIgravefrac14Aacutesup1Agravefrac14dfrac12BatildeAgravesup1Atilderaquo~Agrave5Atilde5AElig5iquestPatildeOumlcedilsup1raquoordm|Atildecedil g Atildecedilfrac12frac14dordmIumlhEgravefrac14dAEligwAtilde5frac12frac12Atilde5AElig5iquest g Iumliquest~szlig0Iumleb$sup1Igrave(Igrave(Atilde5frac12Riquestifrac14raquoiEcirc[NtildeIumlatildefrac14dOumlsup1cedilAumlI] uacute_^J^Er iquest`s[Atilde5AumlUEcircAtilde5AEligwsup1AgraveFfrac14dAgraveAacutesup1AcircnAtildeyAgrave5AumldraquoUAacuteAumldAringcedilAElig_aIuml x4~rv p4PldrRtcodPldpoundUodUp4Pl|WoqodshyiUrv paumlumltutcodutet13v uacute+w iquestex uacuteyIrz^ Iuml

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CBh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34LiquestBagraveyIumlWfrac14raquoiEcircidIumlBTHORNampAringraquo~Agravefrac14raquo13] uacute4^z^J^ iquest`[ampfrac14Igrave(AtildeEumlcAacuteIcirc~Atilde5AumlcedilAtildeAacutesup1Agrave(sup1raquoUAacuteAtildeordmdcedil4frac14Aacutesup1AumldraquoaeligOgraveuAumldcedil0sup1Igravefrac14dordmdAtildeAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIuml xQ|||~pwl~ lnrRtcodNtildeodiexclsect9lrRrv p auml9Pl| ~tuyldi j l|4Utu]vx4~rvreg t not v P4v Iumlh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34Liquestgagrave0IumliquestIumlgatildeUAacute4frac14dsup1Eacuteiquest9frac14draquoiEcircdIuml9THORNampAringraquo~Agravefrac14raquo13] uacute_^J^ xiquest` THORNampAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeIacuteEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34iraquo~Ecircsup1raquo~ordmsup1raquoIgrave(AtildeEcircsup1Agravefrac14frac12iexclsup1Igravefrac14ordm|Atilde5AEligaringEacuteLfrac34Oacutesup1raquoLAacuteAtilde5ordmcedil4frac14Aacutesup1raquo~ordm ordmdcedil4frac14|Ecircsup1Atilde5raquoLAacute frac14raquoiEcirccedilAtilde5ordm|sup1Auml|raquo sup1raquoOgraveuAumldcedilIgravefrac14ZAacutesup1Auml|raquo13aIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu notI iquesteE ^4y rdugrave Iumlh=Icircifrac14raquoiquestBETHIumlWfrac14raquoiEcircIuml g Atilde5AEligwAtildeJ] dividedugravedugraveuacute iquest` agraveAgraveAacutesup1AcircnAtildeFAgrave5Auml|raquoLAacuteAuml|AringcedilAElig$Ccedilgsup1AacuteIcircAuml|AringAacuteNtildeAtilde5Ecircordm|AtildeAElig_aIuml xQ||k|~pwld lnrRtcododUacutex4shy(l not v9sectpqo4v 4tu notuU v divideJw iquest divide xJx ydividezrJr Iumlh=Icirc~Atilde5AEligwraquo~frac14dAring~EcirciquesthIumliquestfWIuml=szligAtildeOgraveYacutecedilIAtilde5ordm|sup1Atildecediliquestfrac14draquoiEcirc g Iuml5Z=AumldAring~frac12AtildeAacute4] uacute_^J^z^ iquest`currenatildeUAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12cedilAtilde5ordmdsup1AumldraquoAEligwraquoifrac14dUgrave|AtildeEumlsEacuteifrac14dAEligwAtilde5EcircAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquofrac14|Ecircfrac14dOumlAacuteAtilde5EcircFAacuteAumlyEcircsup1s]AtildecedilAtilde5raquoLAacute-Ouml~IcircLfrac34AEligwsup1Agrave5frac14dfrac12~raquoAuml|sup1AEligwAtilde9Igrave(AumlUEcircAtilde5frac12AElig_aIuml xQ||k|~pqld~ lnrRtco~$osect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4vt iquest uacute|uacute_q y~uacute|uacute xIumlh=Auml|IcircAtilde5raquoiquestIuml] uacute4^z^uacute iquest`currenmiddotraquofrac14dAgrave Aacutesup1Acirc|Atilde Agrave5AumldraquoLAacuteAuml|AringcedilIacuteIgrave(AumlUEcircAtildefrac12AEligtimesfrac14draquo~EcirceumlEacuteifrac14dfrac12frac12AumlLAuml|raquoAElig_aIuml odshyiUrv pumltutcod pwl Utc0ldix4shyl not vsectEgravepwo4v tu not x4shyl not vOtildePnv p rsldidtu not) iquest divideUuacuteduacuteydivideLuacute UIumlh=Auml|IcircAtilde5raquoiquestSIumliquestUumlIuml13ZEgravefrac14cedil4Ecircsup1raquo~AtildeAacuteiquestfrac14raquoiEcircoNtildeIumlagrave9frac34Lfrac14dAgrave4Icirc~AtildeJ] uacute_^J^z iquest`atildeUAringcedilwOgraveufrac14dAgrave5Atilde0cedilAtilde5Agrave5Auml|raquoAEligqAacutewcedilAring~AgraveAacutesup1AumldraquotimesAring~AEligwsup1raquoordmfrac14AgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilaumlIgrave(AumlUEcircAtilde5frac12AElig_aIuml igraveiacuteraquoS] Lsect=xQ|od5v pv P4v od vwodshy(v rRp tc j v rregodtimestuodshyiUrv pumltutco Iuml~atildefrac14raquoUacuteTHORNampsup1Atilde5ordm|AumliquesthEgraveagraveyIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquestEgraveUumlIuml] dividedugrave|ugravedugrave iquest`currenatildeAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquo Ouml~frac14cedilAgrave5Auml|raquoLAacuteAuml|AringcedilAEligUacutefrac14AgraveAacutesup1currenOgraveuAEligUacuteAtilde5raquosup1Igravefrac14dordmdAtildecedilsup1AtildeIacuteIgraveAtilde5Ecircsup1Agravefrac14dfrac12AtildeIacuteEcircfrac34UEumlraquoifrac14dIgrave(sup1ecircLAring~Atilde]ampfrac14Ouml~Ouml~frac12sup1Agravefrac14ZAacutesup1AumldraquoAtilde5raquoeumlAgravefrac14Zcedil4Ecircsup1Auml|frac12Auml|ordmdsup1Atilde raquoUAring~Agravefrac12Atilde5frac14dsup1currencedilAtildeJaIumlfIcircIuml THORNFIumlAacuteIcirc~Atilde5AEligwsup1AElig5iquestraquo~sup1AcircnAtildecedilAEligwsup1currenAacutefrac34`AumlOgraveosup1Agrave5AtildeEumliacuteatildeAumldOuml~Icircsup1Yacutefrac14NtildeagraveraquoLAacutesup1OumlPAuml|frac12sup1AElig5iquestPeacutecedil4frac14raquo~Agrave5AtildedIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquest|UumlIumliquestUaacuteIacuteIumlEZEgravefrac14cedilfrac12frac14dAring~Ecirciquest[NtildeIumlLagraveAringEacutePAtildecedilwAacuteiquest|frac14draquoiEcirc dIumlnTHORN$frac14ZcedilAgrave5Auml|AringcedilwAacute4] divideugrave|ugraveUuacute iqueste`currenatildeOuml~frac14dAgrave5AtildeEgraveAacutesup1Igrave(AtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14EumlAacutesup1AumldraquoUacuteAring~AEligwsup1raquoordmfrac12Atilde5AcircnAtilde5frac12AEligwAtildeAacutefrac14dAgraveAacutesup1AcircnAtilde$AgraveAuml|raquoLAacuteAuml|AringcedilAEligfrac14Ouml~Ouml~frac12sup1AtildeEcirciexclAacuteAumlFIgraveNtildefrac34LAumlLAgravefrac14Zcedil4Ecircsup1frac14dfrac12ordmnfrac14ZAacuteAtildeEcircOtildeatildeIf-UumlkhEgraveETHaIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu not t v rJw iquest)x qJ+y xJ ^ Iuml

THORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquest13iexclNtildeIumlfrac14draquo~EcircdIumlWaacuteAuml|raquoLAacute4frac14ordm|raquoifrac14ZAacute4] divideugrave|ugraveUuacute iquest` ETHBAumldOumlPAuml|frac12Auml|ordmfrac34Oslashfrac14raquoiEcircIacuteAEligwIcirc~frac14dOumlPAtildeAgraveAuml|raquo~AEligqAacutewcedil4frac14sup1raquoUAacuteAEligyAumldraquotimesOumlifrac14Zcedil4frac14EumlIgrave(AtildeAacutewcedilsup1AgraveOslashfrac14dAgraveAacutesup1AcircnAtildearingAgrave5AumldraquoLAacuteAuml|AringcedilAElig_aIuml odshy~rv pumltutcodldP x4shy(l not vPLv p4rsldPtu notcent) v divideJw iquestuacute_qnugrave4yiuacute4rUuacute Iuml[Auml|Igrave(Atilde5AElig5iquestpounddIumlfrac14draquo~EcircaringmiddotNtildeIumleacuteifrac14Aring~ordm|Atilde cedil4frac14dAElig_] divideugrave|ugrave|ugrave iquestcurren` szlig9Atilde5Agrave5Aumldraquo~Agrave5sup1frac12sup1raquo~ordmIacuteEcircsup1AEligqAacute4frac14draquoAgrave5AtildeOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligfrac14draquo~Ecircaeligfrac12Atilde5AcircnAtilde5frac12EgraveAEligwAtilde AacuteAElig_aIumlpoundUodUp il|WoqUacuteumltul|-odshyNtildeshyFU~tR4lrRtcodTldix4shyl not vampgvipv v rsldrRtcod ) iquest dividedugravez^+ydivideddividez Iuml[cedil4frac145frac34LiquestszligyIumliquestdIumlyen-Auml|Aringraquo~ordmiquestampfrac14raquoiEcircagrave0Iumlampagravesup1currenfrac34LAtildecedil4] dividedugravedugraveuacute iquest `aacutesup1raquosup1IgraveNtildeAring~Igrave Ecircsup1AEligwAgrave cedilsup1Igrave(sup1raquo~frac14Aacutesup1Auml|raquosup1raquoOgraveregAumldcedilIgravefrac14Aacutesup1AumldraquoAgrave5frac12Aring~AEligqAacuteAtildecedilsup1raquo~ordmI]Igrave(AumlUEcircAtilde5frac12sup1raquo~ordmTfrac14raquoiEcircOslashecircLAringifrac14raquoUAacutesup1Ocircfrac14ZAacutesup1Auml|raquoOslashCcedilgsup1currenAacuteIcirc ordm|frac14dAringAEligwAEligIgrave(sup1currenicircAacuteAringcedilAtilde5AElig_aIumlTigraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquest=atildePIumliquest=aacuteIacuteIumlkZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestEgravefrac14raquoiEcirc[NtildeIuml=agrave9Aring~EacutePAtildecedilwAacute4] dividedugrave|ugraveUuacute frac14Uiquest` agrave EumliacuteatildeUAacuteAtilde5Ouml frac14dfrac12ordm|Aumlcedilsup1currenAacuteIcirc~IgraveAring~AEligwsup1raquoordmcedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtilde=Agrave5Auml|raquoLAacuteAuml|AringcedilAEligeOgraveuAumldcedilAcircUsup1EcircAtilde5AumlAuml|EacuteUbrvbarqAtilde5Agrave AacuteAElig=EcircAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoSaIuml~igraveraquo13]psect xw j x4 sect odpDumlqo odUacutex4shy(l not v9Pl| ~tu5op j rRtushyvwdtclNtildex4rv pwlnrRtKndvy]v pntc4v IumliETHWfrac14dIgrave(OumlPAtilde cedilAtilde|iquestieacuteWsup1raquofrac12Yacutefrac14raquoiEcirc]Iumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquestUatilde]IumliquestUaacuteIacuteIumlUZ=frac14cedilfrac12frac14dAring~EcirciquestUfrac14raquoiEcirccopy[NtildeIumlUagrave9Aring~EacutePAtildecedilwAacute4] dividedugravedugraveuacute EacuteiquestA` szlig9Atilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14AgraveAacutesup1AcircnAtildegAgrave5Auml|raquoLAacuteAumldAringcedilAEligOgraveuAumldcedilAcircUsup1YacuteEcircAtilde5AumlaringAuml|EacuteUbrvbarqAtilde5Agrave AacuteOtildeAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo Ccedilgsup1currenAacuteIcircaAgrave5frac14dIgrave(Atildecedil4frac14OslashAgrave5AumldIgrave(OumlPAtilde5raquo~AEligfrac14ZAacutesup1Aumldraquo13aIumligraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquesteatilde]IumliquestWaacuteIacuteIumlZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestefrac14draquo~Ecirc[NtildeIumlBagraveAring~EacutePAtilde cedilwAacute4] divideugrave|ugraveuacute Agrave|iquestk` g sup1EcircAtilde5AumlUacuteAuml|EacuteUbrvbarqAtildeAgraveAacuteFAEligwAtildeordm|Igrave(Atilde5raquoLAacute4frac14Aacutesup1AumldraquoAring~AEligwsup1raquo~ordmIacuteAtilde5Aring~frac12Atildecedilsup1frac14draquo cedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAElig_aIuml igraveiacuteraquoS] x4rv p ildrRtcodil|yodv pwv P4vIacuteoodshyiUrv paumlumltutcod Iuml g frac14draquoAgrave5Auml|AringAcircnAtildecediliquestehEgravefrac14draquo~frac14|Ecirc~frac14UIumlbyfrac14dAEligwAElig5iquesteaacuteIacuteIumliquestWagrave0Iuml Ucirc sup1currenAacuteUgravesup1raquoiquestWfrac14raquoiEcirctimesTHORNFIumlWETHBAtildecedilOcirc5AumldOumlPAuml|Aringfrac12AumldAElig_] uacute4^ JUiquestk`currenatilderaquoifrac14UgravenAtilde5AElig_]WagraveAgraveAacutesup1AcircnAtilde(Agrave5AumldraquoLAacuteAuml|Aringcedil0Igrave(AumlUEcircAtilde5frac12AElig_aIumlx4~rv p4PldrRtcoPl|WpoundUop4PldWoqodshyiUrv pTumltutcod iquest ndivideUuacuteyUzndivide Iuml

aacuteUacutefrac14dfrac12frac12frac14|Ecircsup1ciquest~szlig0IumliquestedIuml]atildeUAtildeAacuteIcirc~sup1frac14raquoiquest~frac14draquoiEcircZIuml g Atilde5IgraveNtildeAringcedilsup1G] uacute4^z^ UiquestS`atildeUIcircifrac14OumlPAtilde$Igrave(AumlUEcircAtilde5frac12sup1raquo~ordm0Ccedilgsup1AacuteIcirciexclOgraveregcedilAuml|raquoLAacuteOumlcedilAumldOumlifrac14dordm|frac14EumlAacutesup1Aumldraquo13]nfrac14ampfrac12AtildeAcircnAtilde5frac12AEligwAtildeAacuteEgravefrac14Ouml~OumlcedilAumlnfrac14dAgrave4Icirc13aIuml xQ|||~pwld lnrRtcodampodsectgldrRrv p 9Pl| ~tu9ldP j ln4Utreg]vx4~rvu t not v i4v Iordf iquest uacute z yiuacute+r UIuml

aacuteUacutefrac14draquoAEligwAuml|Aringcedilsup1Riquestagrave0Iumlfrac14draquo~EcircdIumlb$Auml|raquocedil4frac14|EcircS] uacute_^J^J^ iquestlaquo`currenaacuteAumldAacutesup1AumldraquoAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo`Ccedilgsup1currenAacuteIcirceumlfrac12Atilde5AcircnAtildefrac120AEligwAtilde AacuteAElig_aIuml igraveraquo13]x4~rv p4PldrRtcoPl|=ov pwv P4vNtildeodUacutex4shyl not vsectEgravepwo4v tu not Iumlcb$AumldEacutePAtilde|iquestednfrac14dOuml~frac14draquoIuml

aacuteAuml|raquoLAacute4frac14dordmdraquoifrac14ZAacuteiquestdIumliquestziexcl0IumlTHORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquestdfrac14draquo~EcircoNtildeIumlZagravegfrac34Ufrac14dAgrave4Icirc~AtildeJ] dividedugrave|ugraveUuacute iquest` agraveOslashcedilAtildeAcircsup1AtildeCcedilaeligAumldOgravePEcircAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeAEligwAringcedilwOgraveufrac14dAgrave5AtildeAElig_]AacuteAuml|OumlPAuml|frac12Aumldordmdfrac34Liquestgordm|AtildeAuml|Igrave(AtildeAacutewcedilwfrac34frac14draquoiEcirc EcircAtildeOgraveuAumlcedilIgravefrac14Aacutesup1Auml|raquoSaIuml x4shyl not vtimesldiOacuteumltutcododshy~rRtreg not0Inot v uacute_qw iquestuacuteugravendivide+y~uacuteugravezq|ugrave Iuml

aacuteAring~IgraveOgraveregAumldcedil4Ecirciquest=THORNFIumlgfrac14raquoiEcircdIumlatildeIcirc~frac14dIcircS] uacute4^ ^ iquest`currenmiddotOumlAacutesup1Igravefrac14frac12$frac14dOumlOumlcedilAumlicircsup1Igravefrac14Aacutesup1Auml|raquoAEligEacuteLfrac34Oumlsup1AtildeAgrave5AtildeCcedilgsup1AEligwAtildetimesAEligwIgrave(AumlLAumlAacuteIcircOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligFfrac14raquoiEcircOslashfrac14dAEligwAEligwAumlLAgravesup1Yacutefrac14ZAacuteAtildeEcircaringAcirc|frac14Zcedilsup1Yacutefrac14ZAacutesup1Auml|raquoifrac14frac12EgraveOumlcedilAumldEacute~frac12Atilde5Igrave(AElig_aIuml odshyNtildeshyFU~tR4lrRtcod~oaeligsectEgraveUpvUacuteldiEgraveni tsvw j ldrreg~v shy(lrRtccurrenshyt iquest rzr4y xJ q Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfa

yenKbrvbarsect =4 acirc $ zmiddotAEligwIcirc~AtildecediliquestdatildePIumlfrac14draquo~EcircdIumlnatildeAtilde AacuteIcirc~sup1frac14draquoS] uacute4^ ziquest` eacutecedilAuml|raquoLAacuteAEligeOumlcedilAumldOumlifrac14ordmnfrac14Aacutesup1raquoordmCcedilgsup1currenAacuteIcircFAgrave5AringcedilAcirc|frac14ZAacuteAringcedilAtildeEumlEcircAtilde5OumlPAtilde5raquoiEcircAtilde5raquoLAacuteBAEligwOumlPAtildeAtildeEcircS]

agravefrac12ordm|Aumlcedilsup1AacuteIcircIgrave(AEligEacute~frac14dAEligwAtildeEcircaumlAuml|raquoiexclampfrac14Igrave(sup1frac12AacuteAumldraquoEumldnfrac14Agrave5Auml|Eacutesup1eacute~AumldcedilIgraveNtildeAring~frac12frac14Aacutesup1Auml|raquoSaIuml poundUodUp4Pl|oqiexcloshyiUrsldrRtcoPl|sect=U~tc ordfenot iquest uacutedivide4yEqE^ Iumlfefrac14cedil4frac14ordm|sup1Auml|AElig5iquestoNtildeIumlfrac14draquo~EcircIacuteszligyIuml]THORNampAtildecedilsup1Agrave4Icirc~AtildeJ] uacute4^z^J^ iquest`s[Atilde5AumlUEcircAtildeAEligwsup1Agravefrac14AgraveAacutesup1AcircnAtildeFcedilAtilde5ordmdsup1Auml|raquo~AElig$OgraveregAumldcedil0Igrave(AumldAacutesup1Auml|raquoTAtilde5AEligqAacutesup1Igravefrac14Aacutesup1Aumldraquofrac14draquoiEcircAacutewcedil4frac14dAgrave4UgraveUsup1raquoordmAaIumligraveiacuteraquoS] x4rv p ildrRtcodil|-ov pwv P4vFodOslashodshyiUrv paumlumltutco Iumleh=AumldcedilwOgraveregAringgt[cedilAtilde5Atilde5Agrave5Atilde|Iumlfefrac14AacuteAtilde5Aringicirc]iquestatilde]Iuml] dividedugravedugrave|ugrave iquestpound`currenatildeOuml~frac14Aacutesup1frac14dfrac12AEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoTAumldOgrave=Agrave5Auml|frac12Aumlcedilysup1Igravefrac14ordm|Atilde5AEligampfrac14dAgrave5Agrave5Aumlcedil4Ecircsup1raquo~ordmAacuteAumlUacuteaacuteTHORNaringOgraveregAumldcedilIgravefrac14dfrac12currenEumlsup1AEligwIgraveaIumlyigraveraquo13] x4~rv p4PlrRtcodPld=od5v pv i vodododpFtu pwl4UtcldPx4shyl not vysectpqo v tu not Iumlatildefrac14dsup1raquoLAacute UumleAacutesup1Atilderaquo~raquo~Atildediquestieacutecedil4frac14raquo~Agrave5AtildedIumlfcedilAtildeAgrave5sup1Auml|AEligwAumliquesteacute=IumlEgravefrac14raquoiEcirc aacuteIacuteIumlcurrenZEgravefrac14cedilfrac12frac14dAring~EcircS] dividedugrave|ugraveUuacute iquest` Z-EumliacuteatildeUOuml~frac12sup1raquo~Atildeaumlfrac14dAgrave Aacutesup1Acirc|AtildeOtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAEligOgraveregAumldcedilOgraveRfrac14AEligqAacuteAcircUsup1EcircAtilde5AumltimesAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIumlOacuteigraveraquo13] x4rv p ildrRtcodil|od5v pv P4vaeligod x4shy(l not vUacutesectpqo4v 4tu not IumlETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1Riquest[cedilAtilde5Atilde5Agrave5Atilde|Iuml

szligAumldraquoOgraveufrac14cedil4EcirciquestszligyIuml] uacute_^J^q iquest` szlig9Atilde5ordmdsup1AumldraquoEumlsEacuteifrac14AEligwAtildeEcircFAEligqAacutewcedil4frac14ZAacuteAtilde5ordm|sup1Atilde5AEligeOgraveuAumlcedil-frac14dAgraveAacutesup1AcircnAtildeEgraveAgraveAuml|raquoLAacuteAuml|AringcedilIgrave(AumlUEcircAtilde5frac12AElig_aIuml x4~rv p4PldrRtcoPl|poundUodUp il|WoqodshyiUrv paumlumltutco I v dividezw iquest divideddividez^+yUdivide uacute Iuml

atildefrac14Igrave(AEligwAuml|raquoiquestzhIumliquestzIumlzZ=frac12frac14raquo~AgraveEumleacuteAtildecedil4frac14AringiEcirciquestJ[NtildeIumldagraveAringEacutePAtildecedilwAacuteiquestfrac14draquo~Ecirc dIumlJregPAtildecedilAring~Eacutesup1frac14I] dividedugravedugrave|ugrave iquest` agrave frac12Atilde5Acirc|Atilde5frac12UAEligwAtildeAacuteIgrave(AumlUEcircAtilde5frac12nOgraveregAumldcedilsup1Igravefrac14ordm|AtildeAgrave5frac12frac14dAEligwAEligwsup1siAgravefrac14ZAacutesup1Auml|raquo13aIuml x4~rv p4PlrRtcodPldpoundUodUp4Pl|BoqNtildeodshyiUrv pOtildeumltreg4tRod shy v Ew iquest uacute r4y~uacute4^Er Iuml

atildefrac14raquo~ordmdCcedilgsup1raquoAtilde|iquest9atilde]IumlEgravefrac14draquo~Ecircszlig0IumlampiexclAumldcedilraquoAtilde v Atilde5EcircAElig5Iuml w ] uacute_^J^ Uiquest ~vIacuteo|odUpaumltushyl not vipqo4v 4tu not ldP|m4oo4uml Iumlh=Icircifrac14dOumlIgravefrac14draquodegmacriexclampfrac14dfrac12frac12RIumlatildeAtildeAacuteIcircsup1frac14draquoiquestdIumlplusmn] uacute4^z^|ugrave iquestU` oAringIgrave(Atildecedilsup1Agravefrac14dfrac12Ufrac14frac12ordm|Aumldcedilsup1currenAacuteIcircIgrave(AEligWOgraveuAumldcedilOumlcedilAuml|Oumlifrac14ordmnfrac14ZAacutesup1raquoordmsup1raquoLAacuteAtildecedilwOgraveRfrac14Agrave5Atilde5AElig_]Jiexclampfrac14dIgrave(sup1frac12currenAacuteAuml|raquoEumldnfrac14dAgrave5AumldEacute~sup1

AtildeecircLAringifrac14Aacutesup1Aumldraquo~AElig-frac14draquoiEcircAgraveAuml|raquo~AEligwAtilde cedilAcirc|frac14ZAacutesup1Aumldraquo(frac12frac14CcedilgAElig_aIuml poundUodUp4Pl|]oqEgraveyen$t lv pv rRtcl| voshyv rRp~ iquest uacute4Uuacutey~uacute x uacute IumlatildeAtildeAacuteIcircsup1frac14draquoiquestAdIuml] uacute4^J^ xiquest kWvndvB]v r j v rregod IumlcurrenhEgravefrac14dIgraveNtildeEacutecedilsup1EcircordmdAtilderaquosup1AcircPIumlAfecedilAtilde5AEligwAElig5Iumlatildesup1Ecirc~Ecircsup1ecircUsup1Riquest4bIumliquest_yenNtildeIumlBfrac14Aring~Ocirc5sup1Gsup2AtildecedilAtilde|iquestagraveyIumlETHWfrac14draquoraquo~Atilde5raquoUEacute~frac14dAring~IgraveUacuteiquest5frac14draquo~EcircNtildeatildePIumlregPAring~Agrave4UgravenAtildecedil4] uacute_^J^ xUiquestE`currenagravegcedilAtildefrac149frac14draquoiEcirc$frac12Atilde5raquoordmdAacuteIcircyIgrave(sup1raquoEuml

sup1Igrave(sup1Ocirc5sup1raquoordm sup3iAumlCcedilgAEliggOgraveuAumldcedilAEligwIcircifrac14OumlPAtildeyAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo13aIuml xQ|||~pwl~ lnrRtcodoOtildex4shyl not vsectEgravepwo4v tu notordf v Ew iquest qEz+yqzqE Iumlyen=AtildeOcirc5Ocirc5sup1RiquestagraveyIumliquest5agrave0Iuml5ETHEgraveAEligfrac14dsup1Riquestfrac14draquo~Ecirc$agrave0Iuml Ucirc sup1frac12frac12AEligwUgraveLfrac34] uacute4^z^J^ iquestJ` agraveaeligAEligqAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12Ufrac14dOumlOumlcedilAumlnfrac14Agrave IcircampAacuteAumlgAEligwraquo~frac14dUgravenAtilde5AElig]OgraveuAumlcedilWEacutesup1Igrave(AumlUEcircfrac14dfrac12frac14draquoiEcircAacutewcedilsup1Igrave(AumlUEcirc~frac14frac12isup1Igravefrac14dordmdAtildecedilwfrac34aIumligraveraquo13] x4rv p ildrRtcodil|eodv pwv P4vyodx4shyl not vgsectpqo v tu not IumlAb$AumldEacutePAtildednfrac14dOuml~frac14draquoIumlreg]IcircUAringiquest]atilde]Iumlfrac14raquoiEcircaumlagrave0Iumleyen=Aringsup1frac12frac12AtildeJ] uacute_^J^ xUiquestpound` szlig9Atilde5ordmdsup1AumldraquotimesAgrave5AumldIgrave(OumlPAtildeAacutesup1currenAacutesup1Auml|raquo13]iAring~raquo~sup1currenOgraveYacutefrac34sup1raquoordmiexclAEligwraquo~frac14dUgravenAtilde5AElig5iquestPcedilAtildeordm|sup1Auml|raquoTordmdcedilAumlCcedilgsup1raquo~ordmiquestfrac14draquoiEcircZEgravefrac145frac34LAtilde5AEligacute|aacuteTHORNOgraveregAumldcedilIgraveFAring~frac12currenAacutesup1Eacuteifrac14raquoiEcirc sup1Igravefrac14ordm|AtildeTAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo13aIuml xQ|||micro~pwld lnrRtcodtimesosect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4v Icent iquesteJ q+yU^dugrave|ugrave Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfo

i $amp)(+-)013021+345627893lt=gt9A6CBfrac12OcircacuteIshyNT

frac12OcircacuteIltNTpara frac12frac34EMeJaumlQcYZYZjJUacuteQsY H [ ^QEgraveJLhZJUO H QcN H J H MeJordfXiacute[]fcfR[WQcO[Oslash^e[]ZaringNPQsOXiacutejOb H QR[]ONPfdaringocirc|adOuml times jOcircaacute uuml times a2atildeltszligaumlgtszliglOuml times j atilde auml

G QsObnJ H MJeumlYZJ H [SXIacuteNPfcfUacute^e[]ZaringNPQsOYMNPY Oe[ H N Y H hjb H jhZJ`[SXUPJUb H [PhQcNPfOtildeYZKNPbnJSefRJ H jYZ N`PJ H MeJeumlhZJ[]QR[]OYJUP[]fVUPJ H MehZ[]j[]M NrXqNSZaringQcfVm [SX H hNPOYYX[PhlZ N H QR[]OYa(|aagraveszlig jj emiddot iacuteaumlYlZOslash[[ H MaNPO^ centQ ~JUb H QVUPJS^ not [PhNOslashKEgrave[]QcO H $ aacute atildeshyszligaumlN eFWFJTOe[ H JSaring$ aagravej|aacutemiddot|aagraveszlig $ j WiexclQ H M |a s szlig $ jaacute $OumlcopytimesaagravejOcircaacutemiddot|aagraveszliglOumlutimesdj WiexclQ H M |a s szliglOumlcopytimesAjOcircaacuteAumlOumlutimes9J H jY H MeJUO^JOeJ H MeJordfUPJUfR[WbLQ H moUPJUb H [PhdY JUfs^kfrac12 YZjbM H MN H aringfrac12sup1aagraveszlig $ aagravejj|aacute aelig |aelig agrave aagraveszlig $ j YlaquoXiacuteNiharingNPY H MeJ bn[]ZOslashKj H N H QR[]O[SX H MeJ ^eJLhQU~N H QVUPJ QcYOslashbn[]ObnJLhOeJU^OeWFJNihZJQcOWVH JLhZJUY H JU^ QcO YYZaringNPfcfOtilde^JX[PhlZ N H QR[]OY^ J H MBjYJkWKNPO^ H MeJ H hNPOYX[PhZaringN H QR[]ONPbLbn[Ph^QcO[ H [hdY H [Ph^eJLh NmWfR[PhyacuteXiacute[PhlZtimesjfcNaring|aagraveszlig $ jpoundaacuteAElig|a s szlig $ j agrave aelig |aelig agrave a s szlig $ jaacute $ ragrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacute frac14 frac14 a s szlig $ j^ J H MeJUOQcO H hZ[W^jbnJ H MehZJLJgZ NPQcO^eJOQ H QR[]OYaringf^QMeJg0jfRJLhQcNPO^eJLhQU~N H QVUPJOtilde[SXocirc|adOuml times jordfaqQcO H MeJIacute^QRhZJUb H QR[]O[SXcedilfrac12jaring ocirc|adOumlcopytimesszlig_frac12jOcircaacutefcQZUcedil iacute ocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave admacrfj ^QMeJgZaringN H JLhQsNPfg^eJLhQVUiN H QVUPJOtilde[SXuumlStimesYa $ szliglOumlcopytimes)jaringsup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j|aacutefcQZUcedil iacute uumlStimesa $ ragrave3frac12ba $ jszliglOumlutimes agrave3frac12sup1a $ jj uuml]timesa $ szliglOumlcopytimesdjagrave admacr j^QMeJaumlYZMNiKEgraveJOtilde^eJLhQU~N H QVUPJOtilde[SXOcircuuml]timesa $ szliglOumlutimes)jaring

uumlnotraquotimes a $ szliglOumlcopytimesUcircszlig_frac12 jaacutefcQZUcedil iacute uumlStimesYa $ szliglOumlutimesragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave admacrS]j

uumlnyacutenthornnyumll13YSordmY_Fordfy

yenKbrvbarsect =4 acirc $ hq centUWQR[]jYZfVmSe-centmaJkBKNPO^QcO[ admacr jUacuteNPbLbn[Ph^QcOF[ H [hdY H [Phd^eJLhordfNmBfR[PhordfXiacute[PhlZtimesjfcNeWFJaumlMNUPJSaring sup1uumlStimesYa $ szliglOumlcopytimesUcircszlig_frac12 jaacuteAumluumlnotraquotimes a $ szliglOumlcopytimesszlig_frac12jhuumlStimesa $ szliglOumlcopytimes)j frac12sup1a $ j admacrj J H MeJUOabn[]ZOslashK-j H JZOslash[PhJaumlKhZJUbLQcYZJUfVm H MJ0jfRJLhQcNPO ^eJLhdQVU~N H QUPJauml[SXcopyocirc|adOumlcopytimesdj^ JMNUPJSaringocircOcircadOumlutimesaagravejj ocircOcircadOumlutimes)jagrave aacute fagrave = thorn yuml uuml times a $ aagravejszliglOuml times aagravejj $ uuml times a $ szliglOuml times j $ FH admacrSmacr]j5O H MJohY H QcO H J[PhdNPfdeltWFJZaringN`PJ H MeJU~NihdQcNicentfRJ bMNPO[PJ $ aagravejaacute $ agrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacuteethicirc7a2atildeshyszligaumlFjszligicirc cent a2atildeltszligaumlj eWMQcbdM[]QVUPJUYaring thorn yuml uuml]timesYa $ aagravejszliglOumlcopytimesYaagravejj $ aacute admacrS]j

5 uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlutimes agrave3frac12sup1a $ jjlt^eJ H ocirc a $ jlt $WMJLhZJocirc a $ jQcY H MeJgXiacute[]fcfR[WQcO[aringSNPbn[PcentQcNPOtZaringN H hdQkKaring

ocirc a $ jaacute oacute fcedilxagrave frac14 iacute oslashfrac14Uordm agrave frac14 iacute oslashfrac14 ugraveagrave frac14 iacute acircfrac14ordm fcedil agrave frac14 iacute acircfrac14 ugrave ocircNPO^ YZ[eFWNtildeJIacuteMNUPJSaring

^eJ H ocirc a $ jOcircaacute fUragravee^QVUKafrac34frac12sup1a $ jjragrave cent ^eJ H amacr frac12sup1a $ jjMJUOWNtildeJauml[Pcent H NPQcOOaring

fsQZcedil iacute ^eJ H ocirc a $ j fagrave aacute ^QVUKafrac34frac12sup1a $ jj admacr]zSjMJJBjN H QR[]OxadmacrSmacr]j H MeJUOcent=JUbn[]ZaringJUYaringocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave aacute fagrave middot uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jjlt 13raquo ocirc a $ jlt $ uumlStimesa $ szliglOumlcopytimesAj $ admacrSi]j JTbLNPO`YZjeKKEgrave[]YJ H MN H ^eJ H aocirc a $ jjfrac14aacute sfrac12 agrave frac12 $ ^ JZaringNm H MeJUO H N`PJ^eJ H aocirc a $ jjfrac34 s eNPO^ WNtildeJ ^eJUPJUfR[PK H MeJaJkWKhZJUYYZQR[]OadmacrSi]j NPYoX[]fsfR[WQsO[centmNP^^QcO[aringN H JLhZ QcO H MeJIacuteYZJUbn[]O^aQcO H J[PhNPfltWMQcfcJaumlYZjeKKhJUYZYZQcO[ H MeJtimesYZNSZOslashJ H JLhlZQcO H MJordfhY H QcO H J[PhNPfdaring ocirc|adOumlcopytimesYaagravejj ocirc|adOumlcopytimes)jagrave aacuteegraveOtildef1rOtilde cent admacrSh]j

uumlnyacutenthornnyumll13YSordmY_Fordf

s $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJSaring

Otilde aacute uuml]timesa $ ragrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave ^eJ H aocirc a $ jj $ ad s jOtilde cent aacute uuml]timesa $ szliglOumlcopytimesdj ^eJ H aocirc a $ jj fagrave $ adfj

9J H jY_ZaringN`PJordmagrave H JUO^ H [WNih^Y s ^curreniquestYZQcO[frac34admacrjiexclNPO^JOQ H Qc[]OYadmacr e macrS]jeWFJ[PJ H aringfcQZUcedil iacute Otilde aacute sup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j $

aacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ uuml times a $ szliglOuml times j frac12sup1a $ j $fcQZUcedil iacute Otilde cent aacute uuml]timesa $ szliglOumlcopytimesdj^QVUKafrac34frac12 j $

O^ Y[Xiacute[Ph H MeJgNtildejfRJLhQsNPO ^eJLhQVUiN H QVUPJSeWFJgO^Oaring ocirc|adOuml times szlig_frac12jumlaacuteyacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ amacrreguumlStimesYa $ szliglOumlcopytimes)j frac12sup1a $ j7 uuml]timesYa $ szliglOumlcopytimes)j^QVUKafrac34frac12sup1a $ jjj $aacute uumlnotraquotimes a $ szliglOuml times szlig_frac12j $ ^QVUKaduuml times frac12j $ ad j

MeJUO NiKKfVmWQcO[ H MJ hJLJUOWVAQRJZ NPOO H MeJL[PhZJZQcO ad jeWNtildeJ5ONPfcfmtimes[Pcent H NPQcOOaring ocirc|adOumlcopytimesszlig_frac12jOcircaacute uuml raquotimes a $ szliglOumlcopytimesUcircszlig_frac12j $ uacutefrac14 5 uuml]timesYafrac34frac12 eacuteAgraveiquestsup1AacuteAtildeAcircj THORN adS]jWMJLhZJ5eacuteAgraveiquestsup1AacuteAtildeAcircyQcY H MeJUacutejOQ H QcOOgraveWNih^ Oe[PhlZaringNPf H [ aelig OumlcopytimesUcirc^MeJ_NtildejfRJLhQcNPO ^eJLhQVUiN H QVUPJQcY(O[ H JU^ ocirc raquo aagravej(QcO H MeJaumlKNiKEgraveJLhNPO^ H MeJaumlYZMNiKEgraveJauml^eJLhQU~N H QVUPJyuuml raquotimes QcY(Oe[ H JU^ frac14 frac14 ^iquest acutemicrosup1cedilFLft not [PhyYQZOslashKfcQsbLQ H mSeWNtildeJ(bM[[]YJ H MeJcopyXiacute[]fcfR[WQcO[_U~NihQsN H QR[]OaeligQcO H MeJKhZ[B[SXaring$ aagravejaacute $ agrave3frac12sup1a $ j^MJiexclKh[[SXZaringNm NPfcYZ[IacutecentEgraveJiexcl^JUPJUfR[PKEgraveJU^WiexclQ H MZaring[PhZJ_[PJUOJLhNPfUiNihQcN H QR[]OYFYjbM NPYaring $ aagravejaacuteAacuteAgravea $ szligYagravejWQ H MAcircAgrave`NOslashYYZOslash[B[ H MXiacutejOb H QR[]ONPO^AcircAgravea szligYagravejcentQ ~5JUb H QVUPJS^

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ ffrac12OcircacuteIshyNT AcircE J(MNUPJ H [Otildebn[]ZOslashK-j H J H MJNtilde^QEgraveJLhZJUO HH JLhZaringY9[SXQa macr]j9QsOauml[Ph^eJLh H [Uacute[Pcent H NPQcO H MeJ

JUP[]fcj H QR[]OJBjN H QR[]O[SX H MeJ NPb H QUPJ bn[]O H []jehX[Ph H MeJ ^JUYZbnhQRK H [PhdYaumlcentNPYJU^Oacute[]OH MeJ(bn[U~NihQsNPObnJ ZaringN H hQVktimes^eJ H JLhlZ QcONPO H a2Ograveh]j^OgraveMeJ(bn[]ZOslashKj H N H QR[]OaringQcYampKEgraveJLhYXiacute[PhlZOslashJU^Xiacute[Ph H MeJIacute^eJUYZbnhQRK H [Ph_uuml thorn timesOslash yuml ^ q centUWQR[]jYZfmSeN YZQZ QcfcNihbn[]ZOslashKj H N H QR[]OabLNPOacent=JIacute^e[]OeJXiacute[PhOcircuuml thorn UgraveUcircUacuteUuml yuml ^ JiexclbLNPOaeligJkBKhJUYZYOcircuuml thorn timesOslash yuml NPYyNUacutebn[]ZTcent-QcON H QR[]Oaelig[SXgtXiacutejOb H QR[]OYamp^eJLKEgraveJUO^QcOF[[]O H MJOtildehZJ[]QR[]OwOuml timesOslash aring

uumlgtthorn times Oslash yuml a2atildeltszligaumlgtszligYagravejaacute`Ograveoacute m thorn timesOslash yumlaIgraveagrave thorn timesOslash yumlAtilde j cent ocirc adjWMJLhZJordmaacuteAuml85eWiexclQ H MAring8 H MeJordfXqjOb H Qc[]O QcO H h[B^jbnJU^ QcOpounda2Ograveh]je-NPO^aringm thorn timesOslash yuml aacute agrave thorn timesOslash yuml agrave thorn timesOslash yumlcent agrave thorn timesOslash yuml agrave thorn timesOslash yumlAElig agrave thorn times Oslash yumlCcedil agrave thorn timesOslash yumlEgrave agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlEgrave j cent agrave thorn times Oslash yumlcent aIgraveagrave thorn timesOslash yumlCcedil j cent agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlAElig j centWQ H MOaring EFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFH

agrave thorn timesOslash yuml aacute w$ thorn yuml aOtilde S times Oslash j cent atilde aumlagrave thorn timesOslash yumlcent aacute w$ thorn yuml aOtildeOgravecent Scenttimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yuml aacute w$ thorn yuml aOtildeS Stimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yumlAElig aacute w$ thorn yuml aOtilde S times Oslash jaOtildeOgravecent ScenttimesOslash j atilde aumlagrave thorn timesOslash yumlCcedil aacute w$ thorn yuml aOtilde S times Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlEgrave aacute w$ thorn yuml aOtilde cent S centtimes Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlAtilde aacute w$ thorn yuml atilde auml O^ Y[ H MJordfXiacutejOb H QR[]OY aelig thorn timesOslash yumlauml MNUPJ H MeJgXiacute[]fcfR[WiexclQcO[aeligJkBKhZJUYZYZQR[]OYaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

aelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlcent aacute aOtilde cent S centtimesOslash j centaelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlAElig aacute aOtilde S timesOslash jaOtilde cent S centtimesOslash jaelig thorn times Oslash yumlCcedil aacute aOtilde S timesOslash jaOtilde S timesOslash jaelig thorn times Oslash yumlEgrave aacute aOtildeOgravecent ScenttimesOslash jaOtilde13 StimesOslash jaelig thorn times Oslash yumlAtilde aacutemiddotf

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBnot h[]Z H MeJUYJaumlJkWKhZJUYYZQR[]OYeWFJOtildeJUNPYZQcfm ^eJU^jbnJ H MN H aring

$ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde aumlregaacute sEacutefrac12poundEcirc iuml

J H MeJUO MNUPJ H [Tbn[]ZaringKj H J H MeJ H JLhlZaringY eacute thorn times Oslash yumlauml XiacutehZ[]Z H MeJJkWKhZJUYZYQR[]OYamp[SXagrave thorn timesOslash yumlauml eWMQcbM fRJUNP^Y H [aringEFFFFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFFFFH

eacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideoslash aacute w$ thorn yuml uacute ouml $ordfdivideacirc uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIgrave yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H a timesOslash jjeacute thorn timesOslash yumlcent aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideacirc

aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIcirc yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideEuml aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideacirc thorn thorn uacute ouml $_divideIuml yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yumlAElig aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIuml aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideEuml uacute ouml $ordfdivideIuml thorn uacute ouml $_divideIcirc uacute ouml $ordfdivideIgrave yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlCcedil aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIcirc aacute w$ thorn yuml cent thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideacirc uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlEgrave aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIgrave aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideoslash uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlAtilde aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIacute aacute w$ thorn yuml thorn +ETH ouml $_dividethorn uacute ouml $ordfdivideIacute yuml Iuml 8 raquo aq^J H a timesOslash jj

O^centmJkWKhZJUYZYZQsO[ H MeJbn[UiNihQcNPObnJZaringN H hQVkpoundWQ H M H MJregXqjOb H QR[]OYagrave thorn timesOslash yumlauml NPYXiacute[]fcfR[WQcO[aring

timesOslashlaquoaacute 1NtildeNtildeNtildeNtildeNtildeNtilde3uacute ouml $ordfdivideoslashuacute ouml $ordfdivideIacute uacute ouml $_divideIumluacute ouml $_divideIacute uacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIumluacute ouml $ordfdivideIacute uacute ouml $_divideacircuacute ouml $_divideIacute uacute ouml $ordfdivideIgraveuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacute uacute ouml $_divideIgraveuacute ouml $_divideIacute uacute ouml $ordfdivideEumluacute ouml $ordfdivideIacute

6OgraveOgraveOgraveOgraveOgraveOgrave7 J H MJUO^eJU^jbnJSaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

eacute thorn times Oslash yuml aacute a fj thorn yuml ^eJ H aDC Ptimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlcent aacute a fj thorn centcent yuml ^eJ H aDC centcenttimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yuml aacute a fj thorn curren yuml ^eJ H aDC 4times Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlAElig aacute a fj thorn cent yuml ^eJ H aDC centtimes Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlCcedil aacute a fj thorn curren yuml ^eJ H aDC times Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlEgrave aacute a fj thorn centcurren yuml ^eJ H aDCcent4times Oslash j48 raquo aq^eJ H a timesOslash jjeacute thorn times Oslash yumlAtilde aacute amp^eJ H a timesOslash j48 raquo aq^eJ H a timesOslash jj

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ SWMJLhZJC EBtimesOslash QcY H MeJgZaringN H hdQk ^eJU^jbnJU^Xh[]ZOacutetimesOslasharingcentm YZjeKKhZJUYZYZQcOF[ H MeJyuuml UumlON hZ[WNPO^ H MJ I UumlON bn[]fcjFZaringOO^]MeJbn[]ZOslashKj H N H Qc[]OordmX[Ph H MeJ^eJUYZbnhdQRK H [Ph|uuml thorn UgraveUcircUacuteUuml yuml QcYyYQZaringQcfcNihNPO^WFJ H MeJUOOslashMNUPJNPfcf H MeJ(JkWKhZJUYZYZQc[]OY H [aumlbn[]ZOslashKj H J H MeJJUP[]fcj H QR[]OaeligJjN H QR[]OXiacutehZ[]Z H MeJg[PJUOJLhNPfOXiacute[PhlZIacutejfcNta macr]j^gtMQcYcopy[]QVUPJUY H MeJTJUP[]fcj H QR[]O JBjN H QR[]Osup1admacr s j^

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBΩ out

Objects

Γ

inΩ

inΩ

Background Part

-t not Upv copy ETHEgraveIcircAtildeampAacuteiacuteCcedil=AumlFcedilAtilde5ordm|sup1Aumldraquo~AElig9AumldOgravefrac14raquoUacutesup1Igravefrac14dordm|Atilde

Ω

Ω out (τ)Ω

(τ)in

N

Γ(τ)

Ω

N

v

w

N

-t not Upv ETHEgraveIcircAtildeyEcircAumldIgravefrac14dsup1raquo~AEliggfrac14raquoiEcircAacuteIcircAtilde$AcircnAtilde5AgraveAacuteAumlcedilAEliggsup1raquoUAcircnAumldfrac12AcircnAtildeEcircsup1raquoiexclAacuteIcirc~Atilde$EcircAtildecedilsup1Acirc|frac14ZAacutesup1Aumldraquo

uumlnyacutenthornnyumll13YSordmY_F2ordf

yenKbrvbarsect =4 acirc $ Smacr

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 Atilde|IumligraveAacuteAtildecedil4frac14ZAacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvyzU eacuteWsup1ordm|AringcedilAtilde5AEligfrac14iquest Eacuteiquest AgraveJ]iUumlAcircnAumldfrac12AringAacutesup1Auml|raquoOtildeAumlOgraveeAacuteIcirc~Atildeyfrac14dAgrave Aacutesup1Acirc|Atilde0AgraveAuml|raquoLAacuteAuml|AringcedilIgravefrac14raquoifrac14ordm|AtildeEcircUacuteEacuteLfrac34AacuteIcirc~AtildefTHORN$Uuml v qzqwsup1raquo~Agrave5frac12AringiEcircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquoifrac14frac12ampAacuteAtildecedilIgrave(AElig5IumlgeacuteWsup1ordm|AringcedilAtilde5AEligOtildeEcirc]iquest Atildediquest Ograve] g sup1AEligwAringifrac14frac12sup1Ocirc5frac14Aacutesup1Auml|raquo`AumldOgrave0AacuteIcirc~AtildeTAgrave5AumldcedilwcedilAtilde5AEligwOumlPAumldraquoiEcircsup1raquoordmAcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 OgraveuAring~raquoAgraveAacutesup1Auml|raquosup1raquo~Agrave5frac12Aring~Ecircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquo~frac14dfrac12ampAacuteAtildecedilIgrave(AEligraquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirc EacutePAtildeAacuteiacuteCcedil=Atilde5Atilde5raquo ugrave frac14draquoiEcirc divide JUiquestAEligwAring~Agrave4IcircTAacuteIcirc~frac14Aacute$AacuteIcircAtilderaquo~Atilde5ordm|frac14Aacutesup1AcircnAtildeAcircdfrac14dfrac12AringAtilde5AElig0frac14cedilAtildefrac12AumlCcedilEgraveAtildecedilyAacuteIcirc~frac14draquo uacutedivide Uacutefrac14raquoiEcircaumlAacuteIcirc~AtildeOumlPAumldAEligwsup1Aacutesup1AcircnAtilde(Aumldraquo~Atilde5AEligyfrac14ZcedilAtilde(Icirc~sup1ordm|IcircAtildecedilAacuteIcircifrac14raquo uacuteZdivide Iuml

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

Ecirc]Iumligraveraquo~sup1currenAacutesup1frac14dfrac12BAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 Atilde|IumligraveAacuteAtilde cedil4frac14Aacutesup1Auml|raquo ugravedugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not Upv ucirc eacuteWsup1ordmdAringcedilAtilde5AEligtimesfrac14iquest Eacuteiquest AgraveJ]ampUumlAcirc|Auml|frac12AringAacutesup1Auml|raquoAumlOgrave(AacuteIcirc~Atildearingfrac14AgraveAacutesup1AcircnAtildeOslashAgrave5Auml|raquoLAacuteAumldAringcedilIacuteIgravefrac14draquoifrac14ordm|AtildeEcirc`EacuteUfrac34AacuteIcircAtildeOcircfTHORN$Uumlv q w iquestiexclCcedilgsup1currenAacuteIcirc~AumldAringAacuteAacuteIcirc~Atildefrac14dEcirc~Ecircsup1Aacutesup1Aumldraquoifrac14dfrac12TAacuteAtildecedilIgrave(AElig5IumliexcleacuteWsup1ordm|AringcedilAtildeAElig Ecirc]iquest Atildediquest Ograve] g sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo AumlOgraveaeligAacuteIcirc~AtildeAgraveAumldcedilwcedilAtildeEumlAEligwOumlPAuml|raquo~Ecircsup1raquo~ordm AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 OgraveregAring~raquo~Agrave Aacutesup1AumldraquoeumlCcedilgsup1currenAacuteIcirc~Auml|AringAacuteIacuteAacuteIcircAtilde frac14|Ecirc~Ecircsup1currenAacutesup1Aumldraquoifrac14frac12FAacuteAtildecedilIgrave(AElig v raquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirceumlAEligwAring~Agrave4Icirc AacuteIcirc~frac14AacuteIgravefrac14icirc vOOtilde wpOumldivide z w Iuml

uumlnyacutenthornnyumll13YSordmY_F2

S $amp)(+-)013021+345627893lt=gt9A6CB

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIumligravesAacuteAtildecedil4frac14Aacutesup1Aumldraquogt ugrave|ugrave AgravedIumlieacuteWsup1raquoifrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12Acirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 AtildedIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIumlieacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvtimesLg sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo(AumldOgravePAacuteIcirc~AtildeAtildeAcircnAuml|frac12AringAacutesup1AumldraquoAumldOgravePAacuteIcircAtildeEgraveAgrave5Auml|raquoLAacuteAumldAringcedil-frac14draquo~EcircNtildeAacuteIcirc~AtildeEgraveAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 v Ccedilgsup1AacuteIcircAuml|AringAacuteAacuteIcircAtildeEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircFAacuteAtilde cedilIgrave w OgraveregAumldcedilEgraveAacuteIcircAtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoAumlOgraveAacuteIcircAtilde9Ograveufrac14dAgrave5AtildeAring~AEligwsup1raquo~ordmyAacuteIcirc~Atilde9Agrave5AumlZAcirc|frac14Zcedilsup1frac14draquo~AgraveAtildeIgravefrac14Aacutewcedilsup1currenicirc]Iuml

frac14Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcircnAtilde EacuteIumligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 v AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde w Agrave|Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacutefrac34 v Acircdfrac14cedilsup1frac14draquoAgrave5Atilde w-t not Upv h=AumldIgrave(Oumlifrac14cedilsup1AEligwAumldraquoOtildeAumldOgraveAacuteIcirc~Atilde$sup1raquo~sup1currenAacutesup1frac14dfrac12eAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34iexclAgrave5Auml|Igrave(OumlAringAacuteAtildeEcircAringAEligwsup1raquo~ordmAacuteIcirc~Atilde$AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde0Igravefrac14Aacutewcedilsup1currenicircv iordmdAringcedilAtildeFEacute w AacuteAumliexclAacuteIcircAtildeAuml|raquoAtildeFAgrave5AumldIgrave(Ouml~AringAacuteAtildeEcircTAringAEligwsup1raquo~ordmiexclAacuteIcircAtildeFAcircdfrac14cedilsup1frac14draquoAgrave5Atilde v ~ordm|AringcedilAtildeFAgrave w OgraveregcedilAumldIgrave AacuteIcirc~AtildeNtildeAEligfrac14dIgrave(Atildesup1raquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcirc|Atilde v iordmdAringcedilAtilde$frac14 w Iuml

uumlnyacutenthornnyumll13YSordmY_F2_a

yenKbrvbarsect =4 acirc $ ]z

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv Oslash| THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5AtildeccediliacuteAtildecedilsup1UgraveUegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_o

Si $amp)(+-)013021+345627893lt=gt9A6CB

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv ordf THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5Atildeccedilqfrac14dUgraveUsup1currenfrac34LAumldegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_y

RR-0114-SJEHANpdf
  • wwwi3sunicefr
    • httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf
Page 8: LABORATOIRE INFORMATIQUE, SIGNAUX ET SYSTEMES DE …mh/RR/2001/liste-2001.pdf · 2002. 6. 27. · [Dir01] DIRAT L. “Outils pour des Mathématiques Interactives et Distribuées”

httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf

Document seacutecuriseacute incorporeacute

Le fichier httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf est un document seacutecuriseacute incorporeacute dans le preacutesent document Cliquez deux fois sur le bouton pour lafficher

httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf [27062002 110813]

LABORATOIRE

INFORMATIQUE SIGNAUX ET SYSTEgraveMESDE SOPHIAANTIPOLIS

UMR 6070

DREAM2S DEFORMABLE REGIONS DRIVEN BY ANEULERIAN ACCURATE M INIMIZATION METHOD FOR

IMAGE AND VIDEO SEGMENTATION

Stephanie JEHAN-BESSON Michel BARLAUD Gilles AUBERT

Projet CREATIVE

RapportderechercheI3SRRndash2001-14ndashFR

novembre 2001

LABORATOIRE I3S LesAlgorithmes EuclideB ndash 2000routedesLuciolesndash BP 121ndash06903Sophia-Antipolis Cedex Francendash Teacutel (33) 492942701ndash Teacuteleacutecopie (33) 492942898

httpwwwi3sunicefrI3SFR

REacuteSUMEacute

MOTS CLEacuteS Contours actifsbaseacutes reacutegions optimisation de domaine segmentation non superviseacutee deacutetection de visage deacuteter-minant dela matricedecovariance

ABSTRACT Originally active contours wereboundary-basedmethods They weredriven towardstheedgesof animagefromtheminimization of a criterionwith only boundary-basedtermsThemainpurposeof region-basedactive contours is to maketheactivecontour evolveusinginformationontheregionsin addition to theclassicalboundary-basedinformation

We proposeherea generalEulerian framework for region-basedactive contours namedDREAM2SWe introducea generalcriterion includingbothregion-basedandboundary-basedtermswheretheinformationontheregionsis embeddedin afunctionnameddescriptor Theoriginality of thiswork is twofold Firstly weproposeto useshapeoptimization principlesto computetheevolution equationof theactivecontour thatwill makeit evolveasfastaspossibletowardsaminimumof thecriterionSecondlywe take into account thevariationof thedescriptors during thepropagationof thecurve Indeed a descriptor maybegloballyattachedto the region andthusregion-dependentIt happens whenstatisticalfeatures of a region like for example the meanor thevariance of a region areselectedasdescriptors We show that thedependenceof thedescriptors on the region inducesadditional termsin theevolution equationof theactive contour thathave not beenpreviously computed DREAM2S gives aneasyway to takesuchadependenceinto account andto computetheresultingadditional terms

Experimental resultspoint out the importanceof the additional termsto reacha true minimum of the criterion andso toconverge on accurate results The covariancematrix determinant appears to be a very relevant tool for homogeneous colorregionssegmentationAs anexample it hasbeensuccessfullyappliedto facedetectionin realvideosequences

KEY WORDS Region-basedactivecontoursshapeoptimizationunsupervisedsegmentationfacedetection covariancematrixdeterminant

13 $ amp()+$-0123(4-5766-398( 1 lt=98ampgt8BA(0)CD ampE()gt+F)-0-amp=$8B98amp

GBHBIJLKMNPOQRJTSPJUMNPOWV4XFJUYZY[]ONPO^`_aQcbdMeJUfgXNihfcNPj^kBlnmodpqldrsodtupwvyx z|~B9iZ]nn pqodUrvFLv ke~tRo|v n|L zio UtclF9~rRt o| tuBpwldi4v vld~cmldp ldZP=tRz|U~tR v p QsfcfRJUY iexcljcent=JLh HkBlnmodpqldrsodtupwvFpoundcurren0]yenamptsv nod$brvbarv 9BiZPampUsect9lpwTumll| pqodvnncopynordf tc4v-vwLvwlaquo Bpwldi4vnot ldm4v p r=shyldrreg~Utc4v p

macrdegWplusmn5sup25sup3Zacuteimicro|sup2|para7middotcedilsup1ordm|sup1raquo~frac14dfrac12frac12currenfrac34Liquestefrac14dAgrave Aacutesup1Acirc|Atilde(Agrave5Auml|raquoLAacuteAuml|AringcedilAElig$CcedilEgraveAtildecedilAtilde(EacutePAumldAring~raquoiEcircfrac14cedilwfrac34UEumlsEacuteifrac14AEligwAtildeEcircIacuteIgrave(AtildeAacuteIcircAumlUEcircAElig5IumlETHEgraveIcirc~Atilde frac34TCcedil=AtildecedilAtildeEcirccedilsup1AcircnAtilde5raquoNtildeAacuteAumlZCcedilEgravefrac14cedil4EcircAElig=AacuteIcirc~AtildegAtildeEcircordm|Atilde5AEligEgraveAumlOgravefrac14draquosup1Igravefrac14dordm|AtildegOgraveregcedilAumldIgraveOacuteAacuteIcircAtildeIgrave(sup1raquosup1Igrave(sup1Ocircfrac14ZAacutesup1Auml|raquo(AumldOgravefrac14yAgravecedilsup1currenAacuteAtildecedilsup1Auml|raquo(Ccedilgsup1currenAacuteIcircAuml|raquo~frac12currenfrac34EacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircOtildeAacuteAtildecedilIgrave(AElig5IumlETHEgraveIcirc~Atilde(Igravefrac14sup1raquotimesOuml~AringcedilOumlPAuml|AEligwAtildeAumlOgraveEgravecedilAtilde5ordmdsup1AumldraquoEumlsEacuteifrac14AEligwAtildeEcircOslashfrac14dAgrave Aacutesup1Acirc|AtildeAgrave5Auml|raquoLAacuteAumldAringcedilAEligysup1AEligyAacuteAumliexclAacuteAumlIgravefrac14dUgravenAtilde9AacuteIcirc~Atildefrac14dAgraveAacutesup1AcircnAtilde$Agrave5AumldraquoLAacuteAuml|AringcedilgAtildeAcircnAuml|frac12AcircnAtildeampAringAEligwsup1raquo~ordmFsup1raquoOgraveuAumldcedilIgravefrac14ZAacutesup1Auml|raquoUacuteAumldraquoiexclAacuteIcirc~AtildecedilAtilde5ordm|sup1Auml|raquoAElig5iquestisup1raquoUacutefrac14dEcirc~Ecircsup1Aacutesup1AumldraquoiexclAacuteAumlNtildeAacuteIcircAtildeAgrave5frac12frac14dAEligwAEligwsup1Agravefrac14frac12WEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircsup1raquoOgraveregAumldcedilIgravefrac14Aacutesup1AumldraquoIuml

Ucirc Atilde$OumlcedilAumldOumlPAuml|AEligwAtildeyIcirc~Atilde cedilAtildeyfrac14ordm|Atilde5raquoAtildecedil4frac14dfrac12BUumlAringfrac12Atilde cedilsup1Yacutefrac14raquoUacuteOgraveregcedil4frac14Igrave(AtildeCcedilEgraveAumlcedilUgraveiexclOgraveuAumlcedilcedilAtildeordm|sup1Auml|raquoEumlEacute~frac14dAEligwAtildeEcircOtildefrac14AgraveAacutesup1AcircnAtildeyAgrave5Auml|raquoLAacuteAumldAringcedilAEligraquoifrac14Igrave(AtildeEcircIacuteTHORNampszligUumlagraveampaacuteOtildeacirc5atildePIuml Ucirc Atilde(sup1raquoLAacutewcedilAumlUEcircAringAgrave5Atildefrac14aumlordmdAtilde5raquo~Atilde cedil4frac14dfrac12EgraveAgravecedilsup1currenAacuteAtildecedilsup1Aumldraquoiquestesup1raquo~Agravefrac12Aring~Ecircsup1raquo~ordmaumlEacutePAumlAacuteIcirctimescedilAtilde5ordm|sup1AumldraquoEumlsEacuteifrac14AEligwAtildeEcircfrac14draquo~EcirctimesEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircTAacuteAtildecedilIgrave(AElig5iquestBCcedilgIcircAtildecedilAtildeAacuteIcircAtilde(sup1raquoOgraveuAumlcedilIgravefrac14Aacutesup1Auml|raquoaringAumldraquoaeligAacuteIcirc~Atilde(cedilAtilde5ordm|sup1Aumldraquo~AEligFsup1AEligNtildeAtilde5IgraveFEacutePAtildeEcircEcircAtildeEcircTsup1raquofrac14OgraveregAring~raquo~Agrave Aacutesup1AumldraquoIacuteraquo~frac14dIgrave(AtildeEcircccedilqEcircAtilde5AEligwAgravecedilsup1OumlAacuteAumlcedilegraveIumlBETHEgraveIcirc~AtildeAumlcedilsup1ordm|sup1raquoifrac14frac12sup1currenAacutefrac34aeligAumldOgrave-AacuteIcirc~sup1AEligampCcedilEgraveAumlcedilUgraveaumlsup1AEligampAacuteCcedilEgraveAumlOgraveuAuml|frac12Ecirc]IumlWeacuteWsup1currencedilAEligqAacutefrac12currenfrac34LiquestCcedil=AtildeOumlcedilAumldOumlPAuml|AEligwAtildeyAacuteAumlAringAEligwAtildeNtildeAEligwIcirc~frac14dOumlPAtilde0Auml|OumlAacutesup1Igrave(sup1Ocircfrac14ZAacutesup1Auml|raquoaumlOumlcedilsup1raquo~Agravesup1Oumlfrac12Atilde5AEligAacuteAumlAgrave5AumldIgrave(Ouml~AringAacuteAtildeampAacuteIcircAtildeNtildeAtildeAcircnAuml|frac12AringAacutesup1AumldraquoTAtilde5ecircUAring~frac14Aacutesup1Auml|raquoOtildeAumlOgraveAacuteIcirc~Atilde9frac14dAgrave Aacutesup1Acirc|AtildeAgrave5AumldraquoLAacuteAuml|AringcedilAacuteIcircifrac14ZAacute=Ccedilgsup1frac12frac12PIgravefrac14dUgravenAtildegsup1currenAacute-Atilde5AcircnAuml|frac12AcircnAtildefrac14dAEligOgraveRfrac14AEligqAacutegfrac14dAElig-OumlPAuml|AEligwAEligwsup1Eacute~frac12AtildeAacuteAumlCcedilEgravefrac14cedil4EcircAEligEgravefrac14yIgrave(sup1raquosup1IgraveNtildeAring~IgraveeumlAumlOgraveAacuteIcirc~AtildeAgravecedilsup1currenAacuteAtildecedilsup1Auml|raquoIumliatildeAtildeAgrave5Auml|raquo~Ecircfrac12currenfrac34LiquestLCcedilEgraveAtildeampAacute4frac14UgravenAtildesup1raquoLAacuteAumlfrac14Agrave5Agrave5Auml|AringraquoLAacuteAacuteIcirc~AtildeampAcircdfrac14cedilsup1frac14Aacutesup1AumldraquoAumldOgraveBAacuteIcirc~Atilde$EcircAtilde5AEligwAgravecedilsup1OumlAacuteAumlcedilAEliggEcircAringcedilsup1raquoordmAacuteIcirc~Atilde$OumlcedilAuml|Oumlifrac14ordmnfrac14ZAacutesup1AumldraquoaumlAumldOgraveAacuteIcirc~AtildeyAgrave5AringcedilAcircnAtilde|IumligraveiacuteraquoiEcircAtilde5AtildeEcirc]iquestPfrac14(EcircAtildeAEligwAgravecedilsup1OumlAacuteAumldcedilIgravefrac145frac34EacutePAtildeyordmdfrac12AumldEacuteifrac14frac12frac12currenfrac34aumlfrac14ZAacutewAacute4frac14dAgrave4Icirc~AtildeEcircAacuteAumlAacuteIcircAtildecedilAtilde5ordm|sup1AumldraquoFfrac14raquoiEcircAacuteIcircUAring~AElig5iquestPccedilscedilAtilde5ordm|sup1AumldraquoEumlEcircAtilde5OumlPAtilderaquoiEcircAtilderaquoUAacuteegraveIumlZigraveAacuteIcircifrac14Ouml~OumlPAtilde5raquoAEligCcedilgIcirc~Atilderaquo0AEligqAacute4frac14ZAacutesup1AEligqAacutesup1Agrave5frac14dfrac12LOgraveuAtildefrac14ZAacuteAringcedilAtilde5AEligBAumldOgrave~frac14gcedilAtilde5ordmdsup1Auml|raquoiquestfrac12sup1Ugrave|AtildeFOgraveuAumlcedilFAtildeicircfrac14Igrave(Ouml~frac12AtildeNtildeAacuteIcircAtilde(Igrave(Atildefrac14draquoTAumldcedilyAacuteIcirc~AtildeFAcirc|frac14Zcedilsup1Yacutefrac14raquo~Agrave5Atilde(AumlOgrave9frac14iexclcedilAtilde5ordmdsup1AumldraquoiquestBfrac14cedilAtilde(AEligwAtilde5frac12Atilde5Agrave AacuteAtildeEcircOslashfrac14dAElig0EcircAtildeAEligwAgravecedilsup1OumlAacuteAumldcedilAElig5IumlUcirc AtildeAEligwIcircAumlCcedilAacuteIcirc~frac14AacuteyAacuteIcirc~AtildeEcircAtilde5OumlPAtilde5raquoiEcircAtilde5raquo~AgraveAtilde(AumldOgraveAacuteIcirc~AtildeEcircAtilde5AEligwAgravecedilsup1OumlAacuteAumlcedilAEligNtildeAumldraquotimesAacuteIcirc~AtildecedilAtildeordm|sup1Auml|raquoOslashsup1raquoiEcircAring~Agrave5AtildeAEligNtildefrac14dEcirc~Ecircsup1Aacutesup1Aumldraquoifrac14dfrac12AacuteAtildecedilIgrave(AElig=sup1raquoAacuteIcirc~AtildeAtilde5AcircnAuml|frac12AringAacutesup1AumldraquoAtildeecircLAring~frac14Aacutesup1Auml|raquoAumldOgraveAacuteIcirc~Atildeampfrac14AgraveAacutesup1AcircnAtildeampAgrave5AumldraquoLAacuteAuml|Aringcedil=AacuteIcircifrac14AacuteEgraveIcircifrac14AcircnAtilderaquoAumldAacuteEacutePAtildeAtilde5raquoiexclOumlcedilAtilde5AcircUsup1Auml|Aring~AEligwfrac12currenfrac34Agrave5Auml|Igrave(OumlAringAacuteAtildeEcirc]IumlTHORNampszligUumlagraveampaacuteOtildeacircatildeIacuteordm|sup1AcircnAtilde5AEligFfrac14draquoaeligAtilde5frac14dAEligqfrac34aeligCcedilEgravefrac14frac34TAacuteAumlUacuteAacute4frac14dUgrave|AtildeAEligwAringAgrave Icircaeligfrac14OtildeEcircAtilde5OumlPAtilde5raquo~EcircAtilde5raquoAgrave5Atilde(sup1raquoLAacuteAumlaumlfrac14dAgrave5Agrave5AumldAring~raquoLAacutefrac14draquo~EcircAacuteAumlAgrave5AumldIgrave(Ouml~AringAacuteAtildeAacuteIcirc~AtildecedilAtilde5AEligwAring~frac12currenAacutesup1raquo~ordmfrac14dEcirc~Ecircsup1currenAacutesup1Auml|raquo~frac14dfrac12]AacuteAtildecedilIgrave(AElig5Iuml

UumlicircOumlPAtildecedilsup1Igrave(Atilde5raquoLAacute4frac14dfrac12LcedilAtilde5AEligwAringfrac12currenAacuteAElig-OumlPAumldsup1raquoLAacute-Auml|AringAacuteAacuteIcircAtildesup1Igrave(OumlPAumldcedilwAacute4frac14draquoAgrave5AtildeAumldOgravePAacuteIcircAtildegfrac14|EcircEcircsup1currenAacutesup1Auml|raquoifrac14frac12AacuteAtildecedilIgrave(AEligeAacuteAumlcedilAtilde5frac14dAgrave4Icircfrac14AacutewcedilAring~Atilde-Igrave(sup1raquosup1IgraveFAring~IgraveAumlOgraveiAacuteIcirc~Atilde-Agravecedilsup1currenAacuteAtildecedilsup1Auml|raquo(frac14raquoiEcircyAEligwAumlAacuteAumlAgraveAuml|raquoUAcircnAtildecedilordmdAtildeEgraveAuml|raquoNtildefrac14dAgrave5AgraveAringcedil4frac14AacuteAtildeEgravecedilAtildeAEligwAring~frac12currenAacuteAElig5IumldETHEgraveIcirc~AtildeEgraveAgrave5AumlZAcircdfrac14cedilsup1frac14draquoAgrave5AtildeIgravefrac14Aacutewcedilsup1currenicirc0EcircAtilde AacuteAtildecedilIgrave(sup1raquoifrac14draquoLAacutefrac14Ouml~OumlPAtildefrac14ZcedilAEligeAacuteAumlEacutePAtildefrac14Acirc|Atildecedilwfrac34$cedilAtilde5frac12Atilde5Acircdfrac14draquoLAacuteeAacuteAumlLAuml|frac12UOgraveuAumlcedil-IcircAuml|Igrave(Aumldordm|Atilde5raquoAtilde5Auml|AringAEligeAgrave5Auml|frac12AumldcedilcedilAtilde5ordmdsup1Aumldraquo~AEligAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquoIumlagrave9AEligampfrac14raquoIacuteAtildeicircfrac14Igrave(Ouml~frac12Atilde|iquestPsup1currenAacute$Icirc~frac14dAEligampEacutePAtilde5AtilderaquoIacuteAEligwAringAgrave5Agrave5Atilde5AEligwAEligqOgraveregAring~frac12frac12currenfrac34Tfrac14dOuml~Oumlfrac12sup1Atilde5EcircaumlAacuteAumlOgraveRfrac14Agrave5Atilde(EcircAtilde AacuteAtilde5AgraveAacutesup1Auml|raquoTsup1raquocedilAtildefrac14dfrac12AcircUsup1EcircAtilde5AumlAEligwAtilde5ecircUAringAtilde5raquo~AgraveAtilde5AElig5Iuml

iumlethUntildeograve0oacute sup3ocircWplusmn|otildeszligAtildeordm|sup1Auml|raquoEumlEacute~frac14dAEligwAtildeEcircaringfrac14AgraveAacutesup1AcircnAtildeiexclAgraveAuml|raquoLAacuteAuml|AringcedilAElig5iquestAEligwIcircifrac14dOumlPAtildeiexclAuml|OumlAacutesup1Igrave(sup1Ocircfrac14ZAacutesup1Auml|raquoiquestWAring~raquo~AEligwAringOumlPAtildecedilAcircUsup1AEligwAtildeEcircOslashAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoiquestUOgraveRfrac14dAgraveAtildeyEcircAtildeAacuteAtilde5Agrave Aacutesup1Aumldraquoiquest~Agrave5AumlZAcirc|frac14Zcedilsup1Yacutefrac14raquo~Agrave5Atilde$Igravefrac14ZAacutewcedilsup1currenicircEcircAtildeAacuteAtildecedilIgrave(sup1raquoifrac14raquoLAacuteIuml

Agraveoumloslashdividedugrave|ugraveUuacute 9v vwldpq4Uacute9vop r-g nncopy copyucirc x z|iB9aumlio UtclF9~rRt o| tug]pwldi v

uumlnyacute|thornLyuml13

$amp)(+-)013021+345627893lt=gt9A6CBDFEHGIKJLMONQPltRSJT2MgtI

b H QVUPJOslashbn[]O H []jhYOtildeNihZJaeligKEgrave[WFJLhYXiacutejf H [B[]fcY5Xiacute[PhUacuteQCZaringN[PJOslashNPO^UBQc^JL[YZJ[]ZOslashJUO H N H Qc[]OO^G QsObnJ H MeJ[PhQV[]QcONPf_WF[PhY` []O YZON`PJUYbacaumlNPYZYaJ H NPfd^VegfhSiSi]jeiexclNPO Jk H JUOYQVUPJhZJUYZJUNihbMMNPYaeligcent=JLJUO7KEgraveJLhYXiacute[PhlZOslashJU^ H MN H fRJUNP^Y H [B^Nm H [ H MJjYJ[SXon5hJ[]QR[]OWVcentNPYZJU^NPb H QVUPJTbn[]O H []jehYYp^q hQV[]QcONPfsfVmSeNPb H QVUPJ bn[]O H []jehdYWFJLhZJ centEgrave[]jO^NihYmVcentNPYJU^bZOslashJ H Me[W^Yoaq jecentEgraveJLh HNPO^rcOtilde[PhdOeKhZ[PcentY H e sSs fj^ G ON`PJUYtacaumlNPYZYaeligJ H NPfd^VeufhSiSi]jeycent-NPfcfR[B[]OYoa)v[]MeJUOOefhShfj[Phw[PJL[W^eJUYZQcbNPb H QVUPJbn[]O H []jehdYxa)vNPYZJUfcfRJUY J H NPfd^VeyfhSh]zSj`NihZJOacute^hQVUPJUOH [WFNih^Y H MeJ JU^[PJUY [SXOtildeNPOQZaringN[PJS^|MeJ JUP[]fcj H QR[]OJjN H Qc[]O QcYOslashbn[]ZOslashK-j H JU^XiacutehZ[]ZNaumlbnhQ H JLhQR[]O H MN H []OfVmtimesQsObLfcj^eJUYNaumlfR[WbLNPfQcOFX[PhlZ N H QR[]Otimes[]O H MeJ(centEgrave[]jO^NihYm[SX H MeJauml[Pcent~JUb HH [ YZJ[]ZOslashJUO H ^MeJt`PJmQc^eJUNOacute[SXOtildehZJ[]QR[]OWVcent-NPYJU^ NPb H QVUPJeumlbn[]O H []jehYehY H fVmKh[PK=[]YZJU^ centma)vF[]MJUOTJ H NPfd^VefhShS[]OXqNih^OefhShje]QsY H [OtildeQcO H hZ[B^jbnJ0N_[]fR[PcentNPfBQcOXiacute[PhlZaringN H QR[]O[]O H MeJIacute^QV=JLhZJUO H hZJ[]Qc[]OY H [ YJ[]ZOslashJUO H QcOaNP^^Q H QR[]O H [ H MeJIacutecent=[]jO^NihYmVcentNPYJU^QcOFX[PhlZ N H QR[]OOe H [_ZaringN`PJ H MeJNtildeNPb H QUPJNtildebn[]O H []jehJUP[]fUPJS^iexcl[WFJUPJLhePQ H QcYgO[ H9H hQVUWQcNPfH [timesbn[]ZOslashKj H J H MeJJUP[]fcj H QR[]OaringJBjN H QR[]O [SX H MeJiexclNPb H QVUPJUacutebn[]O H []jeh H MN H WQcfsfZaringN`PJQ H JUP[]fUPJ H [WFNih^Y0NyZ QcOQZtimesjFZ[SXNTbnhQ H JLhdQR[]OOslashQcObLfcj^QcO[centEgrave[ H MOslashhZJ[]QR[]OWVcent-NPYJU^NPO^centEgrave[]jO^NihYmVcentNPYJU^ H JLhlZaringY^JUbnJUO H fmSeZaringNPOm KNiKEgraveJLhY MNUPJeumlNP^^ehZJUYYJU^ H MQsYOslashKhZ[PcentfcJZ^0 hZJUWQRJW [SXH MeJUYZJrZaringJ H Me[B^Y QsY`KhZ[PKEgrave[]YJU^1QcO G JUb^ ^ G []ZOslashJ[SX H MeJUYZJxWF[PhY`WY^e[ Oe[ Hbn[]ZOslashK-j H J H MeJ H MeJL[PhZJ H QcbLNPfJkWKhZJUYZYZQc[]O[SX H MeJUPJUfR[BbLQ H mUPJUb H [PhOtilde[SX H MeJtimesNPb H QVUPJbn[]O H []jehcentj H H MeJm bdMe[[]YZJ H MeJ ^QcYKfcNPbnJZaringJUO H H MN H WQcfcf_ZaringN`PJ H MeJbnhQ H JnVhQc[]O ^JUbnhZJUNPYJa)vMN`hNicentEgrave[Ph H m J H NPf)^VefhShSvMeJUYONPj^ J H NPfd^VefhShSh]j^ qH MeJLhWF[PhY`WYKh[PK=[]YZJ H MeJIacutebn[]ZaringKj H N H QR[]O`[SX H MeJUPJUfR[BbLQ H mUPJUb H [PhOtildecentm hZJU^jbLQcOF[ H MeJWM[]fRJOacuteKh[PcentfRJZ H [ centEgrave[]jO^NihYm QcO H J[PhdNPfcYxa)MjNPO^0jQcfcfcJSeyfhShSgampNihN~V[]QR[]Y`NPO^JLhQsbMeJSefhShSh]j[Ph`centm jYQcO[ H MeJ7fRJUPJUfTYJ H ZOslashJ H Me[W^a G NSZ Y[]OJ H NPf)^Ve sSsSs Ov(MNPONPO^$JUYZJSe sSs fj^OMeJm H MeJUOjYZJ H MeJyNtildejfRJLhVAN[PhNPO[PJJBjN H QR[]OY H [ bn[]ZOslashKj H J H MJaumlJUP[]fcj H QR[]OJjN H Qc[]OO^iexcl[WFJUPJLhe H MeJOtildeQcOXiacute[PhlZaringN H QR[]O []O H MeJauml^Q=JLhJUO H hZJ[]QR[]OYe H MN H WNtildeJaumlbLNPfsfMeJLhZJn^eJUYbnhQRK H [Phlp [SX H MeJIacutebn[PhhZJUYKEgrave[]O^QcOF[aringhZJ[]QR[]OOeKZaringNmacent=Jy[]fR[PcentNPfcfVm N HH NPbdMeJU^ H [H MeJ(hJ[]QR[]OO^S5O^eJLJU^OslashQ H [WbLbLjehYXiacute[Ph0Y H N H QcY H QcbLNPf^eJUYZbnhdQRK H [PhYampYZjbdMaringNPY H MeJ_ZOslashJUNPOOeH MeJUiNihQcNPObnJ[Ph H MJMQcY H [S[PhNSZ [SX H MeJ hZJ[]QR[]O^Q5O bLNPYJ [SXUacutejOYZjK=JLhlUBQcYZJU^YJ[]ZaringJUO H N H QR[]Oe H MeJUYZJ ^eJUYZbnhdQRK H [PhYIacuteNihZJ hZJnVJUiNPfcjN H JU^JUNPbM H QZaringJ H MeJ NPb H QVUPJbn[]O H []jehJUP[]fVUPJUYiexclNPO^aY[ H MeJmU~Nihlm^jehQcO[ H MeJIacuteKhZ[PKN[]N H Qc[]O[SX H MeJtimesNPb H QVUPJbn[]O H []jeh^yhZJUWQR[]jYWF[PhY`BYIacute[]O7hZJ[]QR[]OWVcent-NPYJU^NPb H QUPJbn[]O H []jehYaelig^e[eumlOe[ HIacuteH N`PJQcO H [ NPbLbn[]jO HaumlH MQcYKEgrave[]YZYZQRcent-fRJyUiNihQcN H QR[]Oeuml[SX H MeJaring^eJUYbnhQRK H [PhY H [bn[]ZOslashK-j H J H MeJJUP[]fcj H QR[]OJjN H QR[]O[SX H MeJTNPb H QVUPJIacutebn[]O H []jeh^ JTKhZ[PKEgrave[]YJaumlMeJLhZJaumlN[PJUOeJLhNPfNtildejfRJLhQcNPOoXiacutehNSZOslashJWF[PhY`X[PhhZJ[]QR[]OWVcentNPYZJU^NPb|V

H QVUPJbn[]O H []jehY`ONSZOslashJU^ iexcl_0 Uacute_wcent G aiexclJXiacute[PhlZaringNicent-fRJpoundJ[]QR[]OYa^ehQUPJUO centm NPONtildejfRJLhQcNPO iexclbLbLjhN H JT_aQsOQZaringQVcurrenUN H Qc[]O _aJ H Me[W^X[Ph G J[]ZOslashJUO H N H QR[]Ogtj^gtMeJiexclZaringNPQcObn[]O H hQRcentj H QR[]O[SXy[]jh_WF[PhY`aQcY H [centjQcfs^ N H MJL[PhZJ H QcbLNPfQXhdNSZOslashJWNtilde[Phl`centNPYJU^`[]O

uumlnyacute|thornLyuml13

yenKbrvbarsect =4 acirc $ YZMNiK=JT[PK H QZaringQVcurrenUN H Qc[]OKhQsObLQRKfRJUY^ Q H M YZjbM`NPO`NiKKhZ[]NPbMegtWFJIacutebLNPO hZJUNP^QsfVmH N`PJ7QcO H [ NPbLbn[]jO H`H MeJpoundUiNihQcN H QR[]O [SX H MJOacute^eJUYZbnhQcK H [PhY H MN H NihJpound[]fR[PcentNPfcfmN HH NPbdMeJU^ H [ H MeJUacuteJUP[]fVUWQcO[timeshZJ[]QR[]OYgaqbLNPfsfRJU^ hZJ[]QR[]OWV4^eJLKEgraveJUO^JUO H ^eJUYZbnhQcK H [PhYj^ JOtildeYZMe[W H MN HH MeJiexclU~NihQsN H QR[]O [SX9hZJ[]QR[]OWV4^eJLKEgraveJUO^JUO H ^eJUYZbnhQcK H [PhYF^jehQcOF[ H MeJJUP[]fcj H QR[]OOtilde[SX H MeJ0NPb H QUPJFbn[]O H []jehampQcO^jbnJUY9NP^^Q H QR[]ONPf H JLhlZaringY9QsO H MeJyJUP[]fcj H QR[]OJBjN H QR[]Oeuml[SX H MeJOslashNPb H QVUPJ bn[]O H []jeh^MeJUYZJaeligNP^^Q H QR[]ONPf H JLhlZaringYOtildeMNUPJaringOe[ H centEgraveJLJUOKhJUBQR[]jYZfVm bn[]ZOslashK-j H JU^uml^

G []ZOslashJNtildeJkeNSZOslashKfcJUY[SX-jOYZjeKEgraveJLhYUWQcYJU^TYKN H QcNPfBYJ[]ZOslashJUO H N H QR[]OOePjYZQsO[ H MeJcopyUiNihQuVNPObnJ [SX H MJOslashhZJ[]QR[]OYe9KhZ[UPJ H MeJ QZOslashKEgrave[Ph H NPObnJOslash[SX H MeJ NP^^Q H QR[]ONPf H JLhlZaringYordfXiacute[PhH MeJ(NPbLbLjehdNPbmIacute[SX=YJ[]ZOslashJUO H N H QR[]OOslashhZJUYZjf H Y^MeJNP^^Q H QR[]ONPf H JLhlZ YZIacutejY H O[ H centEgraveJXiacute[PhY[P[ HH JUO QcO [Ph^eJLh H [laquo[PJ HH MeJ_XqNPY H JUY H NPb H QUPJUacutebn[]O H []jeh(JUP[]fcj H QR[]O H [WNih^Y(NZaringQsOQZtimesjFZoslash[SX H MeJaumlbnhdQ H JLhQR[]OO^not QcONPfcfVmSe H MeJbn[UiNihQcNPObnJbZ N H hQk ^eJ H JLhZaringQcONPO H NiKKEgraveJUNihY H [ cent=JNrUPJLhYmhZJUfcJU~NPO HH [B[]fOX[PhMe[]ZOslash[S[PJUOeJL[]jYbn[]fR[PhiexclhZJ[]QR[]OYYZJ[]ZOslashJUO H N H Qc[]OO^gtMQcY H [[]fQcYYZjbLbnJUYZYXqjfcfVm NiKKfcQRJU^ H [XqNPbnJIacute^eJ H JUb H Qc[]O []OhZJUNPfUBQc^JL[aringYJjJUObnJUY^MeJa^eJ H NPQcfcJU^ [UPJLhYUBQcJW []O hZJ[]QR[]OeVcentNPYJU^ NiKKhZ[]NPbMJUY QsYaringKhZ[PKEgrave[]YJU^ QcOG JUb^ eshyWMQcfRJOslash[]jeh0jfRJLhdQcNPOumlXiacutehNSZOslashJWF[PhY`uml5_0 Uacute_ cent G QcYauml^JUYZbnhQRcentEgraveJU^QcO G JUb^^MQcY|XhdNSZOslashJWNtilde[Phl` QcY H MeJUONiKKfcQRJU^ H [ H MJjOYZjeKEgraveJLhYUWQcYJU^aringYJ[]ZaringJUO H N H QR[]O[SXMe[]Zaring[S[PJUOeJL[]jYIacutehZJ[]QR[]OYIacutejYZQcO[ H MJregUiNihQcNPObnJ QsO G JUb^lt`NPO^ H MeJ bn[U~NihQsNPObnJZaringN H hdQk ^eJ H JLhZaringQcONPO H QcO G JUb^gtmacr^

degEplusmnyLMgtsup2Qsup32acutemicromiddotparaJcedilJacutemicrosup1acuteIKJordmcedilIltN paraJcedilJacutewMraquo Jfrac14ltacutefrac34frac12oLJMgtIiquest acuteAgravegtT2MgtIAacutelAcirclaquocedilFAtildeacuteNAumlfrac12R]JT13Aringgtacutesup1AEligMgtIKJMgtPltLAtildeJUbnJUO H fVmSeZaringNPOmNPj H Me[PhdYtimesMNUPJKhZ[PKEgrave[]YJU^NwWNm[SXNP^^QcOF[hZJ[]QR[]OWVcent-NPYJU^H JLhlZ YQcO H MJTJUP[]fcj H Qc[]O JjN H QR[]Ow[P[UPJLhOQcOF[ NPb H QVUPJtimesbn[]O H []jehdY Xiacute[PhiexclYJ[]ZaringJUOWVH N H QR[]O QsYZYZjeJUY^QMeJ KhZ[PcentfcJZ Y H N H JZaringJUO H QsYhY H KhZJUYJUO H JU^NPO^ H MeJUO H MeJY H N H JnV[SXV H MeJnV4Nih H QcY^J H NPQcfRJU^O^ ^f^bCcedil_EgraveKEacuteltEcircgtEumlIgraveFIacuteIumlIcircETHOgraveNtildeFETHIgraveFIacute5IgraveFOacuteETHiexclJLhZJSeOcircWFJa^eJUYZbnhdQRcentEgraveJ H MJ JjN H Qc[]OYaringNP^^ehJUYZYZQcO[ H MeJ`QcYZYZjeJ[SX H MeJYJ[]ZaringJUOWVH N H QR[]O[SX NPOQCZaringN[PJxOtilde QsO H WNtilde[ hZJ[]Qc[]OY^iexclgJ H jYeuml^eJOeJrOumlcopytimesOslash H MeJhJ[]QR[]Obn[]O H NPQcOQcOF[ H MeJ[Pcent~5JUb H Y H [YZJ[]ZOslashJUO H NPO^ OumluUgraveUcircUacuteUuml H MeJeumlcentNPbY`[PhZ[]jO^ hJ[]QR[]OO^MJUQRhFbn[]ZregZOslash[]O centEgrave[]jO^NihlmaringQcY(Oe[ H JU^YacuteOcirc^F9J H jY(bn[]OYZQc^JLhNPOaNPb H QVUPJaumlbn[]O H []jhYacuteadTHORN]szligYagravejaacuteacirca2atildeadTHORN]szligYagravejszligaumlOadTHORNOgraveszligYagravejje]WMeJLhZJuTHORNuZaringNmTcentEgraveJ H MeJ(NihbNtildefcJUO[ H Mtimes[SX H MeJbn[]O H []jhNPO^umlagraveQsYOtildeNPOJUP[]fcj H QR[]OeumlK-NihNSZOslashJ H JLh^shyMeJOslashNPb H QVUPJ bn[]O H []jehIacuteNiKKhZ[]NPbMpoundZ N`PJUYYacuteadTHORN]szligYagravejJUP[]fVUPJ H MehZ[]j[]M H MeJ|Xiacute[]fcfR[WQcO[K-Nih H QcNPf^Q=JLhJUO H QcNPf]JjN H Qc[]Ooa5copyjaringaelig YacuteadTHORNOgraveszligYagravejaelig agrave aacuteegraveccedilyeacuteecircaacuteegraveeuml WQ H MigraveYacuteaagraveregaacute s j|aacuteegraveYacuteshyiacute afjWMJLhZJfrac34YacuteltiacuteaQcY NPO QsOQ H QcNPfbLjhYUPJ ^JOeJU^centm H MeJeumljYJLhNPO^egraveeacute H MeJ QsOOgraveWNih^Oe[PhZaringNPfUPJUb H [PhOtilde[SX|YacuteadTHORN]szligYagravej^MeJUPJUfR[WbLQ H mfrac34ccedil QcY^eJLhQUPJU^wXiacutehZ[]Z NZaringQsOQZaringQVcurrenUQsO[

uumlnyacute|thornLyuml13 2

$amp)(+-)013021+345627893lt=gt9A6CBbnhQ H JLhQR[]O NPO^ QsY bdMe[]YJUO Y[ H MN H H MeJ YZ[]fcj H QR[]OicircYacuteaUcirciumlVszligYagravej bn[]OUPJLhY[PJUY H [ H MeJ[Pcent~JUb H centEgrave[]jO^NihYmSeYacuteaUcirciumlethjeNPY_agraveregntildeoacuteograveicirc^5ObLfcNPYYZQcbLNPfcentEgrave[]jO^NihYmVcent-NPYJU^ZOslashJ H Me[W^Ya)v(NPYJUfcfRJUY(J H NPfd^VeshyfhSh]zg_`NPfcfcNP^QJ H NPfd^VelaquofhShSmacr]je H MeJsup1UPJUfc[BbLQ H m XqjOb H QR[]OHccedil QsY`^eJLhdQVUPJU^XiacutehZ[]ZCNPOJUOeJLhY[Smacircocirc^eJLKEgraveJUO^QcO[T[]O H MeJOtildecentEgrave[]jO^NihlmYacuteOcircaring

ocircOgraveotilde UgraveUacute OslashoumlYdivideloslashugrave aYacuteQj|aacute uacuteucircyacuteuumlgtthorn otilde)yuml THORN a jWMJLhZJ_uuml thorn otilde)yuml QcYNtildeNyXqjOb H Qc[]O ^eJUYZbnhdQRcentQcO[ H MeJiexclcentEgrave[]jO^NihYmtimes[SX H MeJiexcl[Pcent~JUb H ^vNPYZJUfcfRJUYJ H NPf_a)vNPYJUfsfRJUYaumlJ H NPfd^VefhSh]zSjIacutebM[[]YJ H MeJregXqjOb H Qc[]Obuuml thorn otilde)yuml aacuteKa ordmOtilde jyWMeJLhZJtaring s szliggograve8ntilde Otilde 13 QcYiexclN Y H hdQcb H fVm ^eJUbnhZJUNPYZQsO[XqjOb H Qc[]OaY[ H MN H a]juntilde s NPYgntildeoacuteograveicirc^SMeJFbn[]ZOslashKj H N H Qc[]OIacute[SX H MeJUPJUfc[BbLQ H mccedilicircXiacutehZ[]Z H MJFbnhQ H JLhQR[]Oa j9QsYOe[WWFJUfcfO`WOe[WiexclOsup1a)vNPYJUfsfRJUYJ H NPfd^VeltfhSh]zSjiexclNPO^`fRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[OslashJUP[]fcj H QR[]OJBjN H QR[]OOaring aelig Yacuteaelig agrave aacuteFuuml thorn otilde)yuml uuml thorn otilde)yuml eacute13eacute ad]jWMJLhZJ QcY H MeJaumlbLjehYUiN H jehZJOtilde[SXYacuteaagravej^iexcl[WFJUPJLhecent=[ H MaringhZJ[]QR[]OYOcircOumlcopytimesOslashtimesNPO^Ouml UgraveUcircUacuteUuml ZaringNmtimesMNUPJiexcl^QV=JLhZJUO H KhZ[PKEgraveJLh H QRJUYamp[SXH Jk H jehZJSeiMe[]ZOslash[S[PJUOeJUQ H mtimes[PhZaring[ H QR[]O H MN H bLNPOOe[ H cent=JQcObLfsj^eJU^aumlQcO H MeJXiacutejOb H QR[]Ouuml thorn otilde)yuml ^ G [ H MeJoZaringNPQcOOacuteKjehZKEgrave[]YJaring[SX(hJ[]QR[]OWVcentNPYJU^7NiKKh[]NPbMeJUYaeligQcY H [ QcO H hZ[W^jbnJYZjbM Nx[]fR[PcentNPfUacuteQcOXiacute[PhlZaringN H QR[]O QcO H MeJ UPJUfR[WbLQ H m XiacutejOb H QR[]Oicircccedil QcO NP^^Q H QR[]O H [H MeJeumlfR[WbLNPfiexclQsOX[PhZaringN H QR[]OKhZ[UWQc^eJU^ centm cent=[]jO^NihYmVcentNPYJU^ H JLhlZaringY^copyMeJZaringNPQcOBjeJUY H QR[]OeiQsOIacute[Phd^eJLh H [~jY H QVX2m H MeJQcO H hZ[W^jb H QR[]OIacute[SX H MJUYJ(hZJ[]QR[]O H JLhlZ Ye]QcY H [^eJLhdQVUPJ H MeJuUPJUfR[WbLQ H mlaquoXqjOb H QR[]OlaquoXiacutehZ[]ZNPOOslashJUOeJLhl[SmS^Ograve9[IacuteYJ H Nordf[PJUOeJLhNPfFXhNSZaringJWNtilde[PhY`NPO^ H [Oslashbn[]ZOslashKNihZJ H MeJUacute^QEgraveJLhZJUO H NiKKhZ[]NPbMeJUYFKh[PK=[]YZJU^ QcO H MeJUacutefcQ H JLhN H jhZJSeWFJOe[W QcO H hZ[W^jbnJ Nw[PJUOeJLhNPfNtildebnhQ H JLhQR[]ObXh[]ZigraveWMQsbM H MeJUPJUfR[WbLQ H mpoundZaringN[]OQ H j^eJZaringNmcent=JOtilde^eJLhdQVUPJU^Oaring

ocircOcircadOumlutimes OslashgtszliglOuml UgraveUcircUacuteUuml szligYYacuteQjbaacute uumlgtthorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszliglOuml UgraveUcircUacuteUuml j atilde auml $ uumlgtthorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashFj atilde aumlamp uacuteucirc uumlgtthorn otilde)yuml a2atildeltszligaumlj THORN a2jWMJLhZJyuuml thorn UgraveUcircUacuteUuml yuml QcYONSZaringJU^ H MeJwn^JUYZbnhQRK H [PhpOslash[SX H MeJaumlcentNPbl`[PhZ[]jO^ hZJ[]QR[]Oegtuuml thorn timesOslash yumlH MeJsup1n^eJUYZbnhQRK H [Phlp[SX H MeJaring[Pcent~JUb H hZJ[]Qc[]ONPO^buuml thorn otilde)yuml H MeJsup1n^eJUYZbnhQRK H [Phlp [SX H MeJbn[]O H []jeh^MJOslashhZJ[]QR[]O^eJUYZbnhdQRK H [PhYordfZaringNm`centEgraveJlaquo[]fR[PcentNPfsfVm`N HH NPbdMeJU^ H [ H MJUQRhOtildehZJnVYKEgraveJUb H QVUPJOslashhJ[]QR[]OYeOumlcopytimesOslasha[PhOuml UgraveUcircUacuteUuml e9NPO^Y[^eJLKEgraveJUO^euml[]O H MeJZ aqQVXFY[e H MeJmNihZJbLNPfcfcJU^pihJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhYYpOgravej^ H MNiKK=JUOYshyWMJUOtimesY H N H QcY H QcbLNPfXiacuteJUN~VH jehJUYg[SXNhJ[]QR[]OTfcQ`PJSeXiacute[Ph9JkeNSZOslashKfRJSe H MeJZOslashJUNPOIacute[Ph H MJ|UiNihQcNPObnJSe~NihZJNtildeYJUfcJUb H JU^NPY(hJ[]QR[]O^eJUYZbnhdQRK H [PhY^MeJ`K-jehZKEgrave[]YJ [SXIacuteNPfcfhZJ[]QR[]OeVcentNPYJU^ NPb H QVUPJOacutebn[]O H []jehYwZOslashJ H Me[W^YQcY H MeJUOH [poundZaringN`PJ H MeJaNPb H QVUPJabn[]O H []jeh JUP[]fVUPJ H [WNih^Y NeumlKNih H Q H Qc[]O[SX H MeJ`QZaringN[PJSeadOumluUgraveUcircUacuteUumlszliglOuml timesOslash szligYYacuteQje H MN H ZaringQcOQZ QVcurrenLJUY H MeJTbnhQ H JLhdQR[]Opounda2j^

uumlnyacute|thornLyuml13 (

yenKbrvbarsect =4 acirc $ macr ^ ^)+ltIgraveFEgrave-+13IgraveigraveEacute10Igrave22IcircETH313Oacute4 EgraveOIgrave54EacuteshyOacute76EcircgtNtildeltIcircIgrave8 Iacute_IgraveETH39ltEacute8QIcircshyIcirclt2Oacute4Ntilde=KETH3gt+ltIgrave=EacuteshyOacuteshyETHEacute1EgraveIcirc MQcfRJiexclNPONPfVmWYZQcO[aumlhJ[]QR[]OWVcentNPYJU^ NPb H QVUPJUacutebn[]O H []jhYNiKKhZ[]NPbdMeJUYeWNtildeJ5ZaringNm bn[]OWVYZQs^eJLh H MehZJLJyZaringNPQsO QZOslashKEgrave[Ph H NPO H K=[]QsO H Yaring MN H NihJ H MeJT^QV=JLhZJUO H ^eJUYZbnhdQRK H [PhY(jYZJU^BA iexcl[WQcY^eJLhdQVUPJU^ H MeJaumlJUP[]fcj H QR[]O JBjN H QR[]OXiacutehZ[]Z H MeJaumlbnhdQ H JLhQR[]OCA iexcl[WQcYQZaringKfRJZOslashJUO H JU^ H MeJaumlNPb H QVUPJtimesbn[]O H []jehANtildeQR[]OeJLJLhcopyWF[PhY`BY(MNUPJaumlcentEgraveJLJUO KhZ[PKEgrave[]YJU^ centma)vF[]MeJUOJ H NPfd^VefhShSgt[]OXqNih^OefhShj^5ONPOJUNihdfVmpoundWF[PhY`gte|vF[]MJUOJ H NPfd^ua)vF[]MeJUO7J H NPfd^VeufhShS]jIacuteKhZJUYZJUO H NYZjhYXiacuteNPbnJ$hJUbn[]OY H hjb H Qc[]OgZOslashJ H Me[W^TjYQcO[hZJ[]QR[]OWVcent-NPYJU^aumlNPb H QVUPJFbn[]O H []jehdY^MJmbn[]ZOslashK-j H J H MeJUPJUfR[WbLQ H mpoundUPJUb H [Phaelig[SXNPO7NPb H QVUPJ bn[]O H []jhXiacutehZ[]Z H MeJZaringQsOQZaringQVcurrenUN~VH QR[]O[SXampNOslashbnhQ H JLhdQR[]OQcObLfcj^QcO[aumlhZJ[]Qc[]OWVcentNPYJU^ H JLhZaringY^ Oe[ H MeJLh(KQR[]OJLJLhuWNtilde[PhY`MNPYaumlcent=JLJUOK=JLhlX[PhlZaringJU^QcO a[]OXqNih^OeOcircfhShj^iexclJ NPYZYJUYZYZJUY H MN HTH MeJUPJUfR[WbLQ H mXqjOb H QR[]O YZMe[]jfc^aringcent=JKhZ[PKEgrave[Ph H QR[]ONPf H [ H MeJUacute^QEgraveJLhZJUObnJ[SXgY H N H QcY H QcbLNPfXJUN H jehJUYaringccedilaacute uuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml eOgraveWMJLhZJ_uuml thorn timesOslash yuml QsY0NaumlY H N H QsY H QcbLNPfKZOslash[B^JUfe[SX H MeJ[Pcent~JUb H hJ[]QR[]ONPO^tuuml thorn UgraveUcircUacuteUuml yuml N Y H N H QcY H QcbLNPfshyZOslash[B^JUfEgrave[SX H MJaumlcentNPbY`[PhZ[]jO^ hZJ[]QR[]OO^

G []ZOslashJaumlNiKKhZ[]NPbdMeJUY(Kh[PK=[]YZJ H [ bn[]ZOslashKj H J H MeJOtildeJUP[]fsj H QR[]OJBjN H QR[]O [SX H MeJNPb H QVUPJtimesbn[]O H []jhUacutejYZQcO[ H MeJ hZJLJUOWVAiexclQRJZaringNPOO H MeJL[PhZJZ NPO^wNtildejfRJLhVAN[PhNPO[PJJBjN H QR[]OY^OEgraveMBjeumlNPO^frac340jQcfcfcJoa)EgraveMBjNPO^frac340jQcfcfcJSeltfhShS]jKhJUYJUO H NY H N H QcY H QcbLNPfXiacutehNSZOslashJWF[PhY`poundXiacute[PhOslashQZaringN[PJYJ[]ZOslashJUO H N H QR[]OjYZQsO[aNPONPfV[P[PhQ H MZbLNPfsfRJU^n5hJ[]QR[]Obn[]ZOslashKEgraveJ H Q H Qc[]OFp^MeJm^eJLhQVUPJ H MeJeumlNPb H QVUPJbn[]O H []jehJUP[]fcj H QR[]O JBjN H QR[]O centmZaringQsOQZaringQVcurrenUQsO[aringNo[PJUOeJLhNPfcQVcurrenLJU^XNmPJUYDi_wiexcl bnhQ H JLhdQR[]O`QsOYKQRhJU^centm H MeJaring_`jFZaeligVXiacute[Ph^OacuteNPO^ G MNPMJUOeJLhY[Smicircaw_ajFZX[Ph^7NPO^ G MNPMOefhSiSh]j^OcircMeJmKhZ[PKEgrave[]YJ H MeJXiacute[]fcfR[WQcO[aelig^eJUYZbnhQcK H [PhYcopyXiacute[Ph H MeJaumlYJ[]ZaringJUO H N H QR[]O`[SXampY H QcfcfQZ N[PJUYaringEFG FH uuml thorn UgraveUcircUacuteUuml yuml aacute JILK NMregaOtildeKa2atildeshyszligaumlFjPORQ UgraveUcircUacuteUuml juuml thorn timesOslash yuml aacute JILK NMregaOtildeKa2atildeshyszligaumlFjPORQtimesOslashjuuml thorn otilde)yuml aacuteTS admacr]jWMJLhZJUMrega)j9QcY9NiexclKhZ[Pcent-NicentQcfcQ H m^JUOYZQ H m5XqjOb H Qc[]OOeQshytimesNihZJ H MJNtildeKNihdNSZOslashJ H JLhY[SX H MeJ^QsY H hQRcentj H QR[]OX[Ph H MeJaelighZJ[]Qc[]OBVNPO^CSQcYUacuteN KEgrave[]YZQ H QUPJIacutebn[]OY H NPO H ^ not [PhaumlQcfsfcjY H hN~VH QR[]OYe H MeJNPj H Me[PhdYybn[]OYZQc^JLh NPjYZYZQsNPOOslash^QcY H hQccentj H QR[]OYbMNihdNPb H JLhQVcurrenLJU^ centm H WF[KNihdNSZOslashJ H JLhYe H MeJZaringJUNPOIacuteNPO^ H MeJ|UiNihQcNPObnJS^ q ObnJ H MeJWQtimeskWJU^Oe H MeJ0JUP[]fcj H QR[]OJBjN H QR[]O[SXNPONPb H QVUPJ bn[]O H []jhaeligQsYIacutebn[]ZOslashK-j H JU^NPO^^QchZJUb H fVm^eJLhQUPJU^poundXiacutehZ[]ZH MeJbnhdQ H JLhQR[]OO^SMJbLfcNPYZYZQcbLNPfe^JLhQVUiN H QVUPJ([SX H MJ(cent=[]jO^NihYmVcentNPYJU^ H JLhlZ fRJUNP^YH [ H MeJtNtildejbLfcQc^QcNPOpound[PJL[]ZOslashJ H hdQcbMeJUN HYX [Wg^OcircMeJ ^eJLhdQVU~N H QUPJ [SXiexclhZJ[]QR[]OWVcent-NPYJU^H JLhlZ Y QcY H MJUOKEgraveJLhYXiacute[PhlZOslashJU^jYQcO[ H MeJ hZJLJUOWVAQcJZaringNPOO H MeJL[PhJZ NPO^ H MeJNtildejfRJLhVAN[PhNPO[PJaJBjN H QR[]OY^5O^eJLJU^e H MeJeumlbn[]ZOslashKj H N H Qc[]O [SX H MeJaJUP[]fcj H QR[]OJBjN H QR[]OQsYK=JLhlX[PhlZaringJU^ QcO H MehZJLJyZ NPQcO Y H JLKYaringf^Q9hNPOYX[PhZaringN H QR[]Oeuml[SX^e[]ZaringNPQcOQcO H J[PhNPfcYTQcO H [ centEgrave[]jO^NihYmaQcO H J[PhNPfcYTjYZQcO[

H MeJ hZJLJUOeVAQRJZaringNPOO H MeJL[PhZJZ^

uumlnyacute|thornLyuml13

$amp)(+-)013021+345627893lt=gt9A6CB ^vF[]ZOslashKj H N H Qc[]O [SX H MJy0jfcJLhVA9N[PhNPOF[PJOtildeJjN H Qc[]OY^ltO H hZ[W^jb H QR[]O[SXiexclNeuml^mWONSZaringQcbLNPfFYZbdMeJZOslashJ QcO H MeJ0jfRJLhZVA9N[PhNPO[PJ JBjN~V

H QR[]OYQcO [Ph^eJLh H [aeligbn[]ZaringKj H J H MeJ5UPJUfR[BbLQ H mregUPJUb H [Ph[SX H MeJOtildeNPb H QVUPJOtildebn[]O H []jh^MJ UPJUfR[WbLQ H mXiacutejOb H QR[]OoccedilQsY H MJUO bn[]ZaringKj H JU^NPO^Q H fcJUNP^Y H [ H MJ5Xiacute[]fcfR[WQcO[JUP[]fcj H QR[]OJjN H QR[]OOaring aelig Yacuteaelig agrave aacuteacircaduuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml S jeacute ad]jWMJLhZJ QsY H MeJ bLjehlU~N H jehJaring[SXuYacuteaagravej^5O[Ph^eJLh H [aQZOslashK-fRJZOslashJUO HOtildeH MQcYordf|iexcl eNN[PhNPO[]QcNPOXiacute[PhlZtimesjfcN H QR[]O QsY(jYJU^O^JUbnJUO H fmSeampNihN[]Qc[]YNPO^frac34JLhQcbdMeJaNihdN[]QR[]YOtildeNPO^iexclJLhdQcbMeJSefhShSh]jegMNUPJKh[PK=[]YZJU^ NPOJk H JUOYZQc[]O[SX H MeJordfWF[PhY` [SXOcircEgraveMBjNPO^o0jQcfcfcJcentm QZOslashKhZ[UWQcO[ H MeJ^eJUYbnhQRK H [Phaelig[SX H MJbn[]O H []jeh QcO7[Ph^eJLh H [QcObn[PhK=[PhdN H J H MJQCZaringN[PJ[PhNP^QRJUO HNPYiexclQcO[PJL[W^eJUYZQcbIacuteNPb H QVUPJtimesbn[]O H []jehY^gtMeJTJUP[]fcj H QR[]OaJjN H Qc[]OaQcYiexclQZOslashKfRJZaringJUO H JU^jYQcO[ H MeJ(fRJUPJUfBYJ H ZOslashJ H Me[W^aeligQcO H hZ[B^jbnJU^aumlcentm q YZMJLhNPO^ G J H MQcNPOoa q YZMeJLh$NPO^G J H MQcNPOOeltfhSiSi_aNPfcfsNP^Q9J H NPfd^VefhShSmacr G J H MQcNPOOeltfhShS]j^ UPJLhYm QcO H JLhJUY H QcO[KNih H [SX H MQsYyWF[PhY`Oacutebn[]ObnJLhdOY H MeJ QsO H hZ[W^jb H Qc[]O[SXY[]ZOslashJ^eJUYZbnhdQRK H [PhYlaquouuml thorn timesOslash yumlNPO^uuml thorn UgraveUcircUacuteUuml yuml X[PhNiKKfcQsbLN H QR[]OYfcQV`PJ H Jk H jehZJFYJ[]ZOslashJUO H N H QR[]OtimesNPO^gZOslash[UBQcOF[[Pcent~JUb H Y^eJ H JUb H Qc[]OO^

G []ZOslashJT[ H MeJLhUacuteNiKKh[]NPbMeJUYlaquoa)vMN`BhNicentEgrave[Ph H mJ H NPfd^VeltfhShSvMeJUYONPj^ J H NPfd^VefhShSh]j9KhZ[PKEgrave[]YJ H [OtildebMe[B[]YJ(N H JUNPbdMOslashY H JLK H MeJ^QcYKfsNPbnJZOslashJUO H [SX H MeJNPb H QVUPJ(bn[]OWVH []jeh H MN H ZaringN`PJUY H MeJybnhQ H JLhQc[]OOtilde^eJUbnhZJUNPYJS^SvMN`BhNicentEgrave[Ph H miexclJ H NPfd^a)vMN`hNicentEgrave[Ph H mJ H NPfd^VecopyfhShS]jtimesQcO H h[B^jbnJ N`hZJ[]QR[]OWVcentNPYZJU^7NiKKhZ[]NPbMxXiacute[Ph H MeJ YZJ[]ZOslashJUO H N H Qc[]O[SXQZOslashJU^QcbLNPfQZ N[PJUY^ iexclYQcOeKj H [SX H MJUQRhNPfV[P[PhQ H MZe H MeJm bn[]OYQc^eJLh(centEgrave[ H M H MeJNPb H jNPf9QZaringN[PJgOtilde NPO^ H MeJOtildehZJ[]QR[]OWV4bLfsNPYZYZQVJU^ QCZaringN[PJgOtildeoslash^FMeJOtildebLfcNPYZYZQVJU^ QZaringN[PJOtilde oslash QcYiexclbn[]ZOslashKj H JU^`centmwZaringNkeQZaringQVcurrenUQcOF[ H MeJTKEgrave[]Y H JLhQc[Ph^QsY H hQRcentj H QR[]O [SX H MeJThJ[]QR[]OfcNicentEgraveJUfcY[]QUPJUO H MeJQcO H JUOYZQ H maeligQZaringN[PJS^MeJUQRh0hZJ[]QR[]O H JLhlZ JUOXiacute[PhbnJUY H MJcentEgrave[]jO^WVNihYm H [JUObLfc[]YJaringNYZQcOF[]fRJaelighZJ[]QR[]OQcOumlOtildeoslash^MeJaring^JUYZbnhQRK H [PhdYOtildeNihZJ H MeJXiacute[]fcfR[WQcO[WQ H M H MeJauml^QEgraveJLhZJUObnJ H MN HH MeJmWFNPO HH [regZaringNkeQZaringQcurrenLJ H MJTbnhQ H JLhQc[]OocircaringEFG FH uuml thorn UgraveUacuteUuml yuml aacute[Z] Otilde oslash a2atildeltszligaumljuuml thorn times Oslash yuml aacute suuml thorn otilde)yuml aacute[Z cent Otilde_^Ogravea2atildeshyszligaumlFj a)zSjWMJLhZJ]Z NPO^`Z cent NihZJ H WNtilde[7KEgrave[]YZQ H QVUPJbn[]OY H NPO H YNPO^ Otilde_^aQcY H MeJfrac34[PhNP^QRJUO HQZ N[PJS^ KhQc[PhYMNiKEgraveJ H JLhZDQcY(NPfcY[OslashNP^^eJU^ H [ H MJaumlbnhQ H JLhQR[]OeWiexclMQcbMbLNPO centEgraveJQcO H JLhZJUY H QsO[gXiacute[PhZOslashJU^QcbLNPf-QCZaringN[]QcO[gWiexclMeJLhZJ H MJiexclON H jehJ[SX H MeJYZMNiKEgraveJiexcl^[JUYFOe[ HbdMNPO[PJNaumlfc[ H Xh[]Z2QcO^QUBQc^jNPf H [TQsO^QVUWQc^jNPf)^MeJUOeiNPYNtildeQcOwa)EgraveMBjaringNPO^ordm0jQcfcfRJSefhShS]je H MeJWMe[]fRJaumlKhZ[PcentfRJZ QsY(hZJU^jbnJU^ H [ bn[]ZaringKj H QcO[ cent=[]jO^NihYm QcO H J[PhdNPfcYH MNPOF`BY H [ H MeJ hZJLJUOWVAQcJZaringNPOO H MeJL[PhZJZte(hN H MeJLh H MNPO centEgrave[ H M centEgrave[]jO^NihYmNPO^ ^[]ZaringNPQcO QcO H J[PhNPfcY^yacuteMeJQZOslashKfRJZaringJUO H N H QR[]O [SX H MeJNPb H QVUPJ7bn[]O H []jhaQcOa)vMN`hNicentEgrave[Ph H mJ H NPfd^Ve fhShS]jaringQcYaring^e[]OeJacentmjYZQcOF[N not []jehQcJLharingKNihNSZOslashJ H JLhdQVcurrenUN~VH QR[]O^yacuteMeJJkWKhZJUYZYZQc[]O [SX H MeJumlUPJUfR[WbLQ H mAumlUPJUb H [Ph [SX H MeJOacuteNPb H QVUPJ7bn[]O H []jeh QcY

uumlnyacute|thornLyuml13 a

yenKbrvbarsect =4 acirc $ zOe[ H bn[]ZOslashKj H JU^OeNtildecentj HOslashH MeJ bnhQ H JLhQc[]OQcYaringQcO H hZ[W^jbnJU^NPO^ OBjFZOslashJLhQcbLNPfsfVmOacuteJUiNPfuVjN H JU^ QsO [Ph^eJLh H [ ZaringNkeQZaringQVcurrenLJQ H ^ JbLNPO Oe[ H J H MN HH MJeumlNPj H Me[PhYMNUPJKh[PK=[]YZJU^ NlaquoUPJLhYm QcO H JLhZJUY H QcO[aeligJk H JUOYZQR[]O [SX H MQcYWNtilde[Phl` jYQcO[ H MJ5[]NSZaringJ H MeJnV[PhYma)vMN`BhNicentEgrave[Ph H m NPO^jObLNPOOeOfhShSh]j^J[]Qc[]O NPO^ cent=[]jO^NihYmOslashbnhQ H JLhdQR[]OYNihZJYJLKNihdN H JU^OePcentj H JUNPbMaringbnhQ H JLhQR[]Otimesbn[]O H NPQcOY$NPOtimesQsO H JLhNPb H Qc[]OlaquoWQ H M H MeJ[ H MeJLh^ Y H MJ_[]NSZOslashJKhZ[S[PhJUYZYJUYeBcentEgrave[ H MZOslash[W^jfcJUYyQZOslashKh[UPJ H MeJUQRh0KEgrave[]YZQ H QR[]OY H MhZ[]j[]MZtimesj H jNPfQcOFX[PhlZ N H QR[]O YZMNihQsO[^

Oe[ H MeJLhIacuteYZQZaringQcfsNihUacuteNiKKhZ[]NPbMMNPYaumlcentEgraveJLJUOQcO H hZ[W^jbnJU^eumlcentmbvMeJUYZONPj^eumlJ H NPfd^a)vMJUYZONPj^ J H NPfd^VefhShSh]j^FMeJUQchNtilde^eJUYZbnhdQRK H [PhYFNihZJhZJnVJU~NPfsjN H JU^ JUNPbM H QZOslashJUacuteNKEgrave[]QcO H [SX H MJNPb H QVUPJbn[]O H []jehFJUP[]fVUPJUY0YZQsObnJ H MeJUQRh0^JUYZbnhQRK H [PhdY$NihZJY H N H QcY H QcbLNPfXiacuteJUN H jehZJUYOtilde[SX H MeJ QZaringN[PJordm[]fR[PcentNPfsfVm`N HH NPbdMeJU^ H [ H MeJOslashJUP[]fVUWQcO[ hZJ[]Qc[]OY^shyMJmbdMe[[]YZJ H MeJ`hNPO^e[]Z ^QcYKfsNPbnJZOslashJUO H [SXaumlNOacutebn[]OYZQs^eJLhZJU^ KEgrave[]QcO H [SX H MeJ NPb H QVUPJbn[]O H []jehOslashY[ H MN HIacuteH MJ bnhQ H JLhQR[]O7^eJUbnhZJUNPYJUY^$ _X H JLhaeligJUNPbdM ^QcYKfsNPbnJZOslashJUO H [SXNKEgrave[]QcO H [SX H MeJIacuteNPb H QVUPJIacutebn[]O H []jehe H MJT^eJUYZbnhQcK H [PhY(NihZJOtildehZJnV4bn[]ZaringKj H JU^O^

fcN H JLh NiKKhZ[]NPbdM MNPYaringcentEgraveJLJUOQcO H hZ[W^jbnJU^ centm G NSZaringY[]O J H NPfd^_a G NSZ Y[]OJ H NPfd^Ve sSsSs jyacuteXiacute[PhOtildebLfcNPYZYZQbLN H QR[]OaNPO^acentmvMNPO NPO^frac34$JUYJa)vMNPOeumlNPO^frac34$JUYJSesSs fjX[PhaYZJ[]ZOslashJUO H N H Qc[]O [SXaeligY H QcfcfOtildeQZ N[PJUY^yacuteMeJm KhZ[PKEgrave[]YJ H [JZIacutecentEgraveJU^ H MeJbnhQ H JLhQR[]O ^QRhZJUb H fVm`QcO H MJaeligfcJUPJUf$YJ H X[PhlZtimesjfcN H Qc[]OO^Ov(MNPOeumlNPO^$JUYJOslashKhZ[PKEgrave[]YJH MeJordfXiacute[]fcfR[WQcO[Oslash^eJUYbnhQRK H [PhYaringEFG FH uuml thorn UgraveUcircUacuteUuml yuml aacutecb7d Otilde e f centUhguuml thorn timesOslash yuml aacutecb cent Otilde e cent centuuml thorn otilde)yuml aacuteiS adi]jWQ H M e H MeJ NUPJLhN[PJ[SXgOtildeQcOicircOuml timesOslash e e cent H MJ`NUPJLhdN[PJ[SXgOtilde7QsO OumluUgraveUcircUacuteUuml^MeJUYJH WNtilde[ UiNPfcjeJUY NihZJhJnVJUY H QZaringN H JU^ ^jehQcO[ H MeJKhZ[PK-N[]N H QR[]O [SX H MeJbLjhYUPJNPYH MeJaelighZJ[]Qc[]OYJUP[]fVUPJS^shyMeJtimesKNihNSZaringJ H JLhYjb e1b cent egeumlNPO^kSNihJaringY[]ZOslashJaeligKEgrave[]YZQ H QVUPJbn[]OY H NPO H Y^iexclJLhZJ H MJ fRJUPJUfFYJ H ZOslashJ H Me[W^QsYIacute^QchZJUb H fVmjYJU^OacutecentmhJLKhZJUYJUO H QcO[H MeJtimesbLjehYUPJlaquoYacuteaagravejNPY H MeJycurrenLJLhZ[fRJUPJUfampYJ H [SXyNQRKYZbdMQ H currenTbn[]O H QcOBje[]jY_XiacutejOb H QR[]Ol a2atildeshyszligaumlKszligYagravej^]MeJfRJUPJUfWYJ H XiacutejOb H QR[]O l QcYQsO H hZ[W^jbnJU^timesQcO H MeJbnhQ H JLhQc[]OUWQcN H MeJiexclJUNUWQcYZQc^JyacuteXiacutejOb H QR[]Onmra l j^MeJbnhQ H JLhQR[]O QcY H MeJUOoZaringQcOQZaringQVcurrenLJU^WQ H M hZJUYKEgraveJUb HH [ l jYZQcO[OslashNaelighZJ[]jfcNihQVcurrenLJU^UPJLhYQR[]O[SX H MJyZaringQcOQCZaringQVcurrenUN H QR[]O KhZ[PcentfcJZ JIacuteOe[ H JMeJLhJ H MN HFH MeJJUP[]fcj H QR[]OaringJBjN H QR[]O QcY0^QRhZJUb H fVmtimesJkBKhZJUYZYJU^regWQ H M H MJiexclfRJUPJUf-YJ HXqjOb H QR[]O NPO^ Oe[ H WQ H M H MJTbLjehYUPJgYacute|^

G []ZOslashJ[ H MeJLhWNtilde[Phl`BYeBjYZQcOF[auml^QcY H hQccentj H QR[]O H MeJL[PhYmSeBMNUPJcentEgraveJLJUOaringKh[PK=[]YZJU^OslashcentmJLcenthZJUjFUPJaJ H NPf)^_aJLcenthZJUjUPJ J H NPfd^Ve sSs fjXiacute[PhZaringJU^QcbLNPfQCZaringN[]QcO[NPO^ centm 5ZaringNP^QRJUjJ H NPfd^shyaq _Z NP^QRJUj J H NPf)^VeshyfhShSh]jcopyXiacute[PhcentjQsfc^QcO[times^eJ H JUb H QR[]OO^not QcONPfcfVmSe~hZJ[]QR[]OWVcentNPYZJU^aringNPb H QVUPJbn[]O H []jehYNtildeNihZJNPfcY[OtildeKEgrave[WFJLhYXqjf H [[]fsYX[PhNtildebLfcNPY5VYZQbLN H QR[]Opounda13yJcurrencurrenUQJ H NPfd^VeshyfhShSh]j[Ph_ZOslash[ H Qc[]O^eJ H JUb H QR[]Oxaw_aNPOYZ[]jehQgNPO^wcOtilde[]OWVhNP^efhShSh]j^MeJZ N~5[PhOtildebn[]O H hQRcentj H Qc[]Oa[SXy[]jh5WF[PhY`aQsY H [KhZ[PKEgrave[]YJaeligNo[PJUOeJLhNPfQXiacutehNSZOslashJnVWF[PhY`X[PhaumlhJ[]QR[]OWVcentNPYJU^OacuteNPb H QVUPJ bn[]O H []jehY H N`BQcOF[QcO H [NPbLbn[]jO HIacuteH MeJaringbLNPYJ [SX

hZJ[]Qc[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhY^OgraveMeJ UPJUfR[WbLQ H mordmUPJUb H [PhF[SX H MJiexclNPb H QVUPJUacutebn[]O H []jh

uumlnyacute|thornLyuml13 o

i $amp)(+-)013021+345627893lt=gt9A6CBQcYUacutebn[]ZOslashK-j H JU^centm`QcO H hZ[W^jbLQcO[N ^mWONSZaringQcbLNPfampYZbdMeJZOslashJaring^QchZJUb H fVm`QsO H MJaringbnhQ H JnVhQc[]O H [frac34ZaringQcOQZaringQVcurrenLJaeligNPYTQcO aJLcenthJUjUPJ J H NPfd^Ve sSs f 5ZaringNP^QcJUjJ H NPfd^VefhShSh]j^iexcl[WFJUPJLheWFJ KhZ[PKEgrave[]YJ MJLhZJ N OJW Xiacute[PhlZtimesjfcN H QR[]O7[SX H MJ^JLhQVUiN H QR[]OjYZQcO[YZMNiK=JIacute[PK H QZaringQcurrenUN H QR[]O H [B[]fcY^ Q H M YjbM NZaringJ H Me[B^egtWFJtimesNihJaeligNicent-fRJ H [hZJUNP^QsfVmH N`PJQcO H [NPbLbn[]jO HaringH MeJ bLNPYJ [SXhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhY H MN H U~NihYm^jhQcO[ H MeJ KhZ[PKN[]N H QR[]O[SX H MeJ NPb H QUPJ bn[]O H []jeh^MeJUYJ ^eJUYZbnhQRK H [PhYTMNUPJH [centEgraveJtimesbn[]OYZQc^eJLhZJU^ YZQcObnJ H MJmaNihZJlaquoWQc^eJUfmjYJU^X[PhOtildejOYZjeKEgraveJLhYUWQcYJU^YJ[]ZaringJUOWVH N H QR[]O^ not [Ph(YZjbdM hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYbnhQRK H [PhYeOgraveWFJiexclYZMe[W H MN H NP^^Q H QR[]ONPfH JLhlZ Y0NiKKEgraveJUNihNtildeQsO H MeJJUP[]fcj H QR[]OaringJBjN H QR[]O [SX H MeJiexclbLjehlUPJ H MN H MNUPJUacuteOe[ H centEgraveJLJUOKhJUBQR[]jYZfVm bn[]ZOslashK-j H JU^O^

pE paraOacuteOgraveJJTIshyAgravesup1cedilqoacuteIshyacuteLcedilsup3UrltLcedilgtmicrobacuteNsMgtLtrraquoML iquest acuteAgravegtT2MKIOAacutelAcirclaquocedilFAtildeacuteNfrac12oRSJT13AringKacutepoundAEligMKIKJMgtPltLAtildeq jhyZaringNPQcOb[P[]NPfFfsQRJUYTQcO H MeJ JUfsNicent=[PhdN H QR[]O[SXNfrac34[PJUOeJLhNPfXhdNSZOslashJWNtilde[Phl`umlX[Ph H MeJYJ[]ZaringJUO H N H QR[]O7[SXNPO7QZaringN[PJQcO H WF[euml^Q=JLhJUO H hZJ[]QR[]OYtimesjYZQcOF[hZJ[]QR[]OWVcent-NPYJU^NPb H QVUPJIacutebn[]O H []jehdY^ JOtildeKhZ[PKEgrave[]YJ H [ZaringQcOQZ QVcurrenLJ H MeJiexcl[PJUOeJLhdNPfgbnhQ H JLhQc[]O a2jWiexclMeJLhZJUacuteJUNPbM hJ[]QR[]OQcYamp^eJUYbnhQRcentEgraveJU^TjYQcO[UacuteN_XqjOb H Qc[]OtimesbLNPfsfRJU^ n^eJUYZbnhQRK H [Ph[SX H MeJhZJ[]QR[]Op^i YampKhZJUWQuV[]jYfVmOtilde^eJ H NPQcfRJU^OeNiexcl^eJUYbnhQRK H [PhQcY9N XiacutejOb H QR[]O H MN H ZOslashJUNPYZjhZJUY H MJNtildeMe[]ZOslash[S[PJUOJUQ H m[SXyN hZJ[]QR[]OO^Egrave_[]Y H [SXyhJUfRJU~NPO H Y H N H QcY H QcbLNPf^eJUYZbnhQcK H [PhY^JLK=JUO^ H MeJZaringYZJUfVUPJUY[]O H MeJOslashhJ[]QR[]OO^ G []ZOslashJOslashJkeNSZOslashKfRJUYOtildeNihJordm[]QVUPJUOQcO G JUb^shy^ macr^ not [PhTJkWNSZOslashK-fRJSe H MeJhZJ[]Qc[]Oa^eJUYZbnhdQRK H [Phordfuuml thorn timesOslash yuml bLNPO centEgraveJTbM[]YJUOeumlNPY H MJyUiNihQcNPObnJvu centtimesOslash [SX H MeJThJ[]QR[]OOumlcopytimesOslashFeWMQcbdM[]QVUPJUYaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashj|aacute[u centtimesOslash aacutexw$ aOtilde SOtimesOslashjUcirccent atilde aumlw$ atilde aumlWMJLhZJSOtimesOslash QcY H MJyZOslashJUNPO [SX H MeJaumlhJ[]QR[]OwOumlcopytimesOslash^ G jbMaNaring^eJUYZbnhQcK H [PhQcY(ONSZaringJU^aNn5hZJ[]Qc[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhlpOslashYZQcObnJaumlQ H ^eJLKEgraveJUO^YF[]O H MeJaumlhJ[]QR[]OwOuml timesOslash ^q ObnJ H MeJTbnhdQ H JLhQR[]O QcYQcO H h[B^jbnJU^OeWNtildeJTKhZ[PKEgrave[]YJ H [ bn[]ZaringKj H J H MeJTJUP[]fcjWVH QR[]OUacuteJBjN H QR[]OT[SX H MJ0bn[]O H []jh H MN H WQsfcfZaringN`PJ0Q H JUP[]fVUPJ H [WNih^YNyacuteZaringQcOQCZIacutejFZ[SX H MeJTbnhdQ H JLhQR[]OjYZQcO[OslashNaringOeJWH0jfcJLhQcNPOZOslashJ H Me[W^O^ H XqjO^NSZOslashJUO H NPfcfVm ^QEgraveJLhYXiacutehZ[]Z2[ H MJLhFNiKKhZ[]NPbMeJUYFYZQcObnJyacuteWNtildeJ_`PJLJLK H MJ Xiacute[PhlZIacutejfcN H QR[]Oaring[SXhJ[]QR[]OY0QsOY H JUNP^[SXyhJU^jbLQcO[ H MeJWiexclMe[]fRJTKhZ[PcentfRJZ H [ centEgrave[]jO^NihYm QcO H J[PhNPfcY^gtO^JLJU^OeWFJlaquohY HQcO H hZ[W^jbnJFNiexcl^mWONSZaringQsbLNPfYZbdMeJZOslashJ(QcO H MeJ(bnhQ H JLhQc[]OIacuteNPO^ H MeJUOWFJbn[]ZaringKj H J H MeJNtildejfRJLhQcNPO`^eJLhQVUiN H QVUPJaelig[SX H MJOslashJUP[]fVUBQsO[ bnhQ H JLhQR[]O`centm`jYZQsO[ YMNiKEgraveJIacute[PK H QCZaringQVcurrenUN~VH QR[]O KhQsObLQRKfRJUY^]MQcYZOslashJ H Me[W^ KhZ[UWQc^eJUY H MeJUacuteNP^U~NPO H N[PJ H MN HH MeJ5U~NihdQcN H QR[]O[SXehZJ[]Qc[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYbnhQRK H [PhYltWQ H M H MeJFJUP[]fcj H QR[]OIacute[SX H MeJNPb H QVUPJ(bn[]O H []jhbLNPO centEgraveJOtildehZJUNP^QcfVm H N`PJUO`QcO H [ NPbLbn[]jO H ^MeJTbn[]ZOslashKj H N H QR[]Oa[SX H MJTJUP[]fcj H Qc[]OaJBjN H QR[]O`[SX H MeJIacuteNPb H QUPJtimesbn[]O H []jehOtildeQcYKEgraveJLhYXiacute[PhlZOslashJU^QcO H MehJLJyZaringNPQcO Y H JLK-Yaring

uumlnyacute|thornLyuml13 y

yenKbrvbarsect =4 acirc $ hf^ltO H hZ[W^jb H QR[]O[SX$NOslash^mWONSZaringQcbLNPfYbMeJZOslashJSaring JTYJUNihbdMX[Ph H MeJOtildeKNih H Q H Qc[]O[SX H MeJaumlQZ N[PJadOumlcopytimesOslashszliglOuml UgraveUcircUacuteUuml szligYYacutejWMQcbdMZaringQcOQuVZaringQVcurrenLJUY H MeJbnhQ H JLhQR[]Oocirc|adOumlcopytimesOslashgtszliglOuml UgraveUcircUacuteUuml szligYYacutej^eJUYZbnhQRcentEgraveJU^aeligQcOa2j^ MQcfRJNPYZYZjZaringQcO[

H MN H NPO`[PK H QZaringNPf9KNih H Q H Qc[]O JkWQsY H Ye H MJTQcYZYZjJTQcY H [ bn[]ZOslashKj H J H MQcYiexclY[]fcjWVH QR[]OO^ G QsObnJ H MeJ YJ H [SX(NPfcfy^e[]ZaringNPQsOYaumlMNPYIacuteOe[ H NaY H hjb H jehZJOslash[SXcopyUPJUb H [PhQsNPfYKNPbnJSeQ H QcYauml^Qz bLjf HUacuteH [abn[]ZOslashKj H J H MeJ ^eJLhdQVU~N H QUPJOslash[SX H MJ bnhQ H JLhQc[]ONPb|Vbn[Ph^QcO[ H [ H MJ^e[]ZaringNPQsOY^_[ bLQchbLjFZUPJUO H H MQcY`KhZ[PcentfcJZeyacuteWFJNiKKfmN H hNPOYYX[PhlZ N H QR[]O| H [ JUNPbM^e[]ZaringNPQsOOeYZjbdM H MN H Q H centEgraveJUbn[]ZOslashJUY`bn[]OWVH QcOj[]jYZfVm^eJLKEgraveJUO^eJUO H []O NPO JUP[]fsj H QR[]O KNihNSZOslashJ H JLhagrave^MeJ`bnhQ H JLhQR[]Ocent=JUbn[]ZaringJUYT^eJLKEgraveJUO^eJUO H []Obagravearingocirc|aagravejgaacute ocirc|adOumlcopytimesOslashaagravejszliglOuml UgraveUcircUacuteUuml aagravejszligYYacuteaagravejj^QO H MQcY^mBONSZaringQcbLNPfTYbMeJZOslashJSeiexclWFJ bLNPO hJUNP^QcfVm H N`PJQcO H [ NPbLbn[]jO H N K=[]YYZQRcentfRJU~NihQsN H QR[]O[SX H MeJ ^eJUYZbnhdQRK H [PhYWQ H M H MeJJUP[]fVUWQcO[ hZJ[]QR[]OYk|adOuml times j aacuteOumlcopytimesaagravej^

^QiexclJLhdQVU~N H Qc[]O [SX H MeJaumlbnhQ H JLhQc[]O jYZQcO[OslashYZMNiK=JOtilde[PK H QZaringQVcurrenUN H QR[]O H MJL[PhZJZaringYaringMeJNtildebnhdQ H JLhQR[]OocircOcircaagravej9QcY H MeJUOIacute^JLhQVUPJU^TNPbLbn[Phd^QcO[ H [5agrave H MNPO`WY H [ H MeJFbn[]ZaeligVKj H N H QR[]Oeuml[SX H MeJ0jfRJLhQcNPOeuml^eJLhQU~N H QVUPJaelig[SX_ocircjYZQcO[YZMNiKEgraveJaelig[PK H QZ QVcurrenUN H QR[]OKhQcObLQcKfRJUYeOWMQcbMQcYIacuteOJWQsO H MeJNihZJUN [SXNPb H QVUPJ bn[]O H []jehY^$ YXqNihOslashNPYH MeJF^JLhQVUiN H QR[]OTQcYbn[]ObnJLhOeJU^e H MeJU~NihdQcN H QR[]OIacute[SX H MeJF^JUYZbnhQRK H [PhdYWQ H M H MeJJUP[]fVUBQsO[OslashhZJ[]QR[]OY_Oumlcopytimesaagravej(NPO^Y[ordmWQ H MagravetZIacutejY H centEgraveJ H N`PJUOaQcO H [aringNPbLbn[]jO H ^

^vF[]ZOslashKj H N H Qc[]O [SX H MJaumlJUP[]fcj H QR[]OJjN H Qc[]OXh[]Z H MeJauml^eJLhQU~N H QVUPJSaringnot hZ[]Z H MeJNtilde^JLhQVUiN H QVUPJSeWFJNtilde^eJU^jbnJ H MeJUPJUfR[WbLQ H mordfUPJUb H [Ph$[SX H MeJFNPb H QVUPJbn[]OWVH []jeh H MN H WiexclQcfcfZaringN`PJQ H JUP[]fUPJiexclNPYXqNPY H NPY$KEgrave[]YZYQRcentfRJ H [WNih^YNtildeNgZaringQcOQCZIacutejFZ[SX H MeJOtildebnhQ H JLhdQR[]OO^ObLNPYJUacute[SX9hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhYe H MeJUacuteJUP[]fcjWVH QR[]OeumlJjN H QR[]Oeuml[SX H MJaringNPb H QVUPJaringbn[]O H []jhTQcYOtilde^QEgraveJLhZJUO H XhZ[]Z H MJtimes[]OJaringbn[]ZaeligVKj H JU^ Xiacute[Ph hZJ[]QR[]OWV4QcO^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhY^ G []ZOslashJ`NP^^Q H QR[]ONPf H JLhZaringYNiKKEgraveJUNihiexclNPO^`Y[ Q H QcY[SX$KhdQZOslashJaumlOeJUbnJUYZYQ H m H [bn[]OYZQc^JLh H MeJ H WNtilde[o`WQcO^Y([SX^eJUYZbnhQRK H [PhY(YJLKNihN H JUfmS^

9J H jYFOe[ H J H MN HFH MQcY[PJUOeJLhNPfKXiacutehNSZOslashJWF[PhY` bLNPO centEgraveJNiKK-fcQRJU^ H [ordmZaringNPOm ^QEgraveJLhVJUO H NiKKfsQcbLN H QR[]OYcentm[]OfVmbMNPO[]QsO[ H MeJT^eJUYbnhQRK H [PhY^ H MNPYcentEgraveJLJUOOe[ H NicentfmNiKK-fcQRJU^ H [ordmZOslash[UBQsO[aelig[Pcent~5JUb H Y(^J H JUb H QR[]O QcOoUBQs^eJL[timesYZJjeJUObnJUY(NPbjQchZJU^ JUQ H MeJLhWQ H MN Y H N H QcbawS]JUMNPOWV4XFJUYZY[]O J H NPfd^Ve sSs fLbjiexcl[PhUacuteNregZOslash[Pcent-QcfRJTbLNSZOslashJLhdNawS]JUMNPOWVXFJUYZY[]O J H NPf)^Ve sSs fncentj^ JUYZbnhQRK H [PhdYoZ Nm NPfcY[centEgraveJ YJBjeJUO H QcNPfcfVm jYJU^ H [QZaringKhZ[UPJ H MeJu-ONPfBhZJUYZjf H NPYyQ H MNPYampcentEgraveJLJUOaeligKh[PK=[]YZJU^timesQsOtawSPJUMNPOWV4XFJUYZYZ[]OOslashJ H NPfd^VesSs fLNOgravej^^f^~OacuteETHEgraveKEacute18=KETH32EacuteltOacuterEacute0frac34Ntilde83ltOacuteONtildeshyIacute=gtNtildeshyEumltIcirc=39IgraveFIacute5Igrave O QZaringN[PJumlOtildegta2atildeltszligaumlj QcYNxXqjOb H QR[]O ^eJOJU^ Xiacute[Phpounda2atildeshyszligaumlFj OumlOcirccenteuWMeJLhZJOumloslashQcY H MeJ QZaringN[PJ ^e[]ZaringNPQcOO^ltMeJ QCZaringN[PJ ^e[]Z NPQcOQcYIacutebn[]OYZQc^eJLhJU^ H [ cent=JZaringNP^eJjeK`[SX H WF[KNih H Ylaquoa not Q[^fjaring H MJyXiacute[PhZJ[PhZ[]jO^`KNih H bn[]O H NPQsOQcO[ H MeJT[Pcent~JUb H Y H [

uumlnyacute|thornLyuml13

f s $amp)(+-)013021+345627893lt=gt9A6CBYJ[]ZaringJUO H e=Oe[ H JU^frac34OumlcopytimesOslashFe-NPO^ H MeJaumlcent-NPbY`[PhZ[]jO^aKNih H Oe[ H JU^Ouml UgraveUcircUacuteUuml ^MeJauml^QcYZbn[]OWVH QcOBjQ H m`YJ H QcYOtildeNbLjehlUPJ Oe[ H JU^bYacute H MN H ^JOeJUY H MeJ cent=[]jO^NihYmcentEgraveJ H WNtildeJLJUO H MeJH WNtilde[ ^[]ZaringNPQcOY^ J H MJUOaYJUNihbdMtXiacute[Ph H MeJ H WNtilde[^e[]ZaringNPQsOYyacuteOuml UgraveUcircUacuteUuml NPO^wOumlutimes OslashWMQcbdMtZaringQcOQZaringQVcurrenLJ H MeJbnhQ H JLhQR[]Oocircuml[]QVUPJUOcentmumla2jehZJZaringQcO^eJU^ MeJLhZJSaring

ocirc|adOuml UgraveUcircUacuteUuml szliglOumlcopytimesOslashgtszligYYacuteQjumlaacute uuml thorn UgraveUcircUacuteUuml yuml a2atildeltszligaumlgtszliglOuml UgraveUacuteUuml j atilde auml $ uuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOuml timesOslash j atilde aumlamp uacuteucirc thorn yuml uuml thorn otilde)yuml a2atildeshyszligaumlFj THORN5OaumlbnhQ H JLhdQR[]Oa2je H MeJ|hY HH WNtilde[ H JLhlZaringY9NihJyhZJ[]QR[]OWVcent-NPYJU^ordfWMQsfRJ H MeJ H MQRhd^ H JLhlZQcYcentEgrave[]jO^NihYmVcentNPYJU^O^MeJiexclXqjOb H QR[]OYyacuteuuml thorn UgraveUcircUacuteUuml yuml egtuuml thorn timesOslash yuml NPO^tuuml thorn otilde)yuml NihZJaumlhZJUYKEgraveJUb H QVUPJUfmH MeJ^eJUYZbnhdQRK H [PhY[SX H MeJFcentNPbl`[PhZ[]jO^timesKNih H ei[SX H MeJ[Pcent~JUb H Y H [OtildeYJ[]ZOslashJUO H NPO^Iacute[SXH MeJaumlbn[]O H []jeh^KMeJauml^eJUYbnhQRK H [PhYuZ Nm centEgraveJordf[]fR[PcentNPfcfm N HH NPbMJU^ H [ H MeJOtildeJUP[]fVUWQcO[hZJ[]Qc[]OY(NPO^Y[ ^eJLKEgraveJUO^ []Ofrac34Ouml timesOslash [Ph5OumluUgraveUcircUacuteUuml^

G QcObnJ H MeJaringYJ H [SXNtildeNPfsf$^e[]ZaringNPQcOYUacuteMNPYOtildeO[ H N Y H hjb H jehJtimes[SXUPJUb H [PhQcNPfyYZKNPbnJSeWFJIacutebLNPOeumlOe[ H bn[]ZOslashKj H J H MeJaelig^eJLhQVUiN H QVUPJT[SX H MJIacuteKhJUBQR[]jYbnhQ H JLhdQR[]OaNPbLbn[Ph^QcO[H [euml^e[]ZaringNPQcOY^ltMJLhZJX[PhJSe H [bn[]ZOslashKj H JNPO[PK H QZaringNPfFY[]fcj H Qc[]OOe9Neuml^mWONSZaringQcbLNPfYZbdMeJZOslashJOtildeQcYQcO H hZ[W^jbnJU^WMeJLhZJJUNPbM^[]ZaringNPQcO cent=JUbn[]ZaringJUY(bn[]O H QcOBje[]jYfVm ^eJLKEgraveJUOWV^eJUO H []ONPO JUP[]fcj H QR[]O KNihdNSZOslashJ H JLhagrave^59[ X[PhZaringNPfcQVcurrenLJ H MQcYQc^eJUNe WNtildeJxZaringNmYZjKKEgrave[]YJ H MN HTH MJ JUP[]fcj H Qc[]OKhZ[WbnJUYZYtimesQcY H [ H NPfsfVm^eJ H JLhlZaringQcOJU^centm H MJ JkeQcY5VH JUObnJiexcl[SXgNyXqNSZaringQcfmIacute[SXgNiKK-fcQcbLN H QR[]OY| H MN HNtildeH hNPOYXiacute[PhlZaringY H MeJiexclQsOQ H QcNPfe^e[]Z NPQcOYOumlcopytimesOslashgta s jNPO^tOuml UgraveUcircUacuteUuml a s jQsO H [ H MeJIacutebLjehZhZJUO H ^e[]ZaringNPQcOYyacuteOumlcopytimesOslashKaagravejNPO^frac34Ouml UgraveUcircUacuteUuml aagravejaring

OumlutimesUcirca s j ntilde OumlcopytimesaagravejYacutea s j ntilde Yacuteaagravej WiexclMeJLhZJVQaacuteiV[Ph Kf5 iumlMBjY H MeJOtildehJ[]QR[]OY(JUP[]fVUPJ H [WNih^YiexclNPO [PK H QZaringNPf9Y[]fcj H QR[]O^MeJ H hQRKfcJ H Ouml UgraveUcircUacuteUuml aagravejszliglOumlcopytimesOslashOaagravejszligYYacuteaagravejordmZIacutejY H NPb H NPYNregZaringQcOQZ QVcurrenUQcO[TYZJjeJUObnJgX[Phocirc|adOuml UgraveUcircUacuteUuml szliglOumlcopytimesOslashszligYYacutejWiexclMeJUOagrave JUP[]fVUPJUY^MeJ5XqjOb H QR[]ONPfOocircOcircadOuml UgraveUacuteUuml aagravejszliglOumlcopytimesOslashaagravejszligYYacuteaagravejjMNPY H [ bn[]OOgraveUPJLhY[PJ H [WNih^Y H MeJpoundZaringQcOQCZIacutejFZ UiNPfcjeJeuml[SXregocirc2NPYfrac34agraveacircntilde ograveegrave^ MeJbnhQ H JLhQR[]O H MeJUO centEgraveJUbn[]ZOslashJUYaring

ocirc|adOuml UgraveUcircUacuteUuml aagravejszliglOumlcopytimesOslashaagravejszligYYacuteaagravejjaacute thorn yuml uuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszliglOuml UgraveUcircUacuteUuml aagravejj atilde auml 5$ thorn yuml uuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashKaagravejj atilde aumlj uacuteucirc thorn yuml uuml thorn otilde)yuml a2atildeshyszligaumlFj THORN adh]jMJoXqjOb H Qc[]ONPf_ocircOcircadOumlyacuteUgraveUacuteUumllaagravejszliglOuml timesOslash aagravejszligYYacuteaagravejjaeligQcY H MeJLhZJUNX H JLh O[ H JU^egraveocirc|aagraveje0NPO^H MeJ ^eJUYZbnhQcK H [PhYuuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashKaagravejj NPO^icircuuml thorn UgraveUcircUacuteUuml yuml a2atildeltszligaumlgtszliglOuml UgraveUcircUacuteUuml aagravejjaringNihZJ`hZJUYKEgraveJUb|VH QVUPJUfmUacuteO[ H JU^laquouuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejgNPO^laquouuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszligYagravejeWMQcbdMTfRJUNP^Y H [ H MeJXiacute[]fcfR[WQcO[

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ fSfJkWKhZJUYZYQR[]OOaring

ocirc|aagravejumlaacute thorn yuml uuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszligYagravej atilde auml $ thorn yuml uumlgtthorn timesOslash yuml a2atildeltszligaumlgtszligYagravej atilde aumlj uacuteucirc thorn yuml uumlgtthorn otilde)yuml a2atildeshyszligaumlFj THORN af s j5OOtildebn[]O H hdNPY H WQ H MUacute[ H MeJLh9NPb H QVUPJFbn[]O H []jehdY9NiKKh[]NPbMeJUYe H MeJy^mWONSZaringQcbLNPfPYZbdMeJZOslashJQcYtimesMeJLhZJ^QRhJUb H fVmQcO H h[B^jbnJU^QcO H MeJbnhQ H JLhQc[]OO^ Q H MYZjbdMNeumlYZbdMeJZOslashJSe H MeJQcO H hZ[W^jb H QR[]OOacute[SXiexclNPO NPb H QVUPJbn[]O H []jehOslashJUP[]fVUWQcO[ WQ H Msup1agraveQcYaeligY H hNPQ[]M H Xiacute[PhYWNih^O^iexclJUObnJ WNtildeJbn[]OYZQc^eJLh H MN H Yacuteaagravej QsYoZaring[B^eJUfsfRJU^ NPY NPO NPb H QUPJOacutebn[]O H []jh H MN Hbn[]OUPJLhY[PJUY H [WNih^Y H MJgONPfEgraveJkWKEgraveJUb H JU^YJ[]ZOslashJUO H N H QR[]OO^9J H Yacutea s jtimescentEgraveJ H MeJQcOQ H QcNPfNtildebLjhYUPJa^eJOJU^centm H MeJjYJLh^ JahZJUbLNPfcf H MN H WFJYJUNihdbMtXiacute[Ph YacuteaagravejNPYNaringbLjehlUPJaumlJUP[]fVUWQcO[aringNPbLbn[Ph^QsO[ H [ H MeJgXiacute[]fcfR[WQcO[ordm5 aringaelig YacuteadTHORNOgraveszligYagravejaelig agrave aacuteegraveeuml WiexclQ H MigraveYacutea s j|aacuteegraveYacuteshyiacute afSfjWMJLhZJ_euml`QcY H MJ_UPJUfR[WbLQ H mUPJUb H [Ph([SX H MeJUacuteNPb H QVUPJOtildebn[]O H []jh^MeJ_Z NPQcO KhZ[PcentfRJZfcQcJUYFQsO-O^QcO[ H MeJiexclUPJUfR[WbLQ H meumlXhZ[]Z H MJUacutebnhdQ H JLhQR[]Opoundaf s jFQcO [Ph^JLh H [ordm[PJ HH MeJXqNPY H JUY H bLjhYUPJaumlJUP[]fcj H Qc[]O H [WNih^Y H MeJordfONPfYJ[]ZaringJUO H N H QR[]O^^ ^iexclEacuteltIacuteETHNtildeFETHEacuteshyOacute Eacute10wETH9Igrave8ltIgraveFEgravegt+NtildeFETH3gt+ltIgraveumlEacute10frac34ETH9Igrave=KEgrave13ETHIgraveFEgraveEacuteshyOacute5Oeuml[Ph^eJLh H [ [Pcent H NPQsO H MeJOslashJUP[]fcj H QR[]OeumlJBjN H QR[]Oe H MeJaringbnhQ H JLhQc[]OxocircOcircaagravej5ZtimesjY H centEgraveJ^QV=JLhZJUO H QcN H JU^WQ H MhZJUYKEgraveJUb H(H [agrave^MeJOtildeQcO H J[PhNPfcentEgrave[]jO^Y^eJLKEgraveJUO^ []Otagrave NPO^H MeJauml^JUYZbnhQRK H [PhdYyacuteuuml thorn UgraveUcircUacuteUuml yuml a)jNPO^wuuml thorn times Oslash yuml a)juZaringNm NPfcY[aring^JLK=JUO^[]Otagrave^9J H jY^eJOJ H MeJordfXiacutejOb H QR[]ONPfuumlOa2atildeltszligaumlgtszligYagravejYZjbM H MN H aring

uumlOa2atildeltszligaumlgtszligYagravej|aacute uuml thorn UgraveUacuteUuml yuml a2atildeltszligaumlgtszligYagravej QVXcopya2atildeltszligaumljwOuml UgraveUcircUacuteUuml aagravejuuml thorn times Oslash yuml a2atildeltszligaumlgtszligYagravej QVXcopya2atildeshyszligaumlFjtOumlcopytimesOslashKaagravej af jMJbXqjOb H QR[]ONPfuuml thorn UgraveUcircUacuteUuml yuml a)jNPO^Huuml thorn times Oslash yuml a)j`NihZJ^eJOJU^ []O H MeJxWMe[]fRJ7QZaringN[PJ^e[]Z NPQcOtOumliexcl^FMeJUOe H MeJaumlbnhQ H JLhQc[]OocircOcircaagravejuWhQ H JUY(NPYaring

ocirc|aagravejOcircaacute uacute uumlOa2atildeshyszligaumlKszligYagravej atilde aumlj uacuteucirc thorn yuml uumlgtthorn otilde)yuml a2atildeshyszligaumlFj THORNordfaacuteocirc aagravej ocirc cent aagravej af]jWMJLhZJgOuml QcY H MeJaumlQCZaringN[PJT^e[]ZaringNPQsOOeeNPO^Oaring

ocirc aagravej|aacute uacute uumlOa2atildeshyszligaumlKszligYagravej atilde aumlocirc cent aagravejOcircaacute uacuteucirc thorn yuml uuml thorn otilde)yuml a2atildeshyszligaumlFj THORN

uumlnyacutenthornnyumll13YSordmY_F

f $amp)(+-)013021+345627893lt=gt9A6CB5OOtilde[Ph^eJLh H [bn[]ZaringKj H J H MJ0^eJLhQVUiN H QVUPJy[SX H MJNtildebnhQ H JLhdQR[]Olaquoocirc aagraveje H MJNtilde^QcYbn[]O H QcOBjWVQ H QcJUY|ZtimesjY H JkWKfcQcbLQ H fVmIacutecentEgraveJ H N`PJUOQcO H [IacuteNPbLbn[]jO H ^ not [Ph(YZjbdM NIacuteKjehZKEgrave[]YJSeSWFJ5hY HhZJUbLNPfsf-N[PJUOeJLhNPf H MeJL[PhJZbn[]ObnJLhOQcO[ H MeJUacute^eJLhQVUiN H QVUPJ[SX9N H QZOslashJnV4^eJLKEgraveJUO^JUO HbnhQ H JLhQR[]OO^9J H jY(^eJ-OeJyOumlcopytimesaagravejNPYNOslashhZJ[]Qc[]OQcObLfcj^eJU^QcO H [regOumlordf^yacute5 q Ntilde_ f^1ltuumlStimesBiexcl centpoundcurrenyencurrenbrvbarsectumlordfcopynotlaquo3shyyenLregmacrcurrenRlaquodegcurrenbrvbarlaquo Oumlplusmna s szligsup2|iexcljsup3acute Rlaquomicromiddotparagtltocirc|aagravejOcircaacute w thorn yuml uumlStimesYa2atildeltszligaumlgtszligYagravej atilde auml~sup3cedilsectsup1ltlaquoordm ocirc agrave aacuteocirc7raquodaagravejOcircaacute thorn yuml aelig uumlStimesaelig agrave atilde auml uacutefrac14 thorn yuml uumlStimesYafrac34frac12 eacuteAgraveiquestsup1AacuteAtildeAcircYj THORNAuml sectsup1ltAringPfrac12AEligreg(centsectsup1Ccedilbrvbar_paracurrenyenshyltregLLEgraveacutecurrensup2uml aelig Oumlcopytimesaagravej RlaquomicroeacuteAgraveiquestsup1AacuteAtildeAcircEacuteregEcirccentsectsup1copysup1laquoregEumlreg(laquo Auml brvbarAringsup2microacutelaquocurrenRAringordfpound RparaIgravecurren aelig Oumlcopytimesaagravej_IacuteMJ^JLhQVUiN H QVUPJ[SXshyocircWQ H MaelighZJUYZK=JUb HampH [yagraveaeligQcY H MJyacute0jfRJLhdQcNPOIacute^JLhQVUiN H QVUPJ([SXocirc|adOumlcopytimesAjQcO H MeJOtilde^QRhJUb H QR[]O [SXEumlfrac12umleWMQcbdM bn[]ZaringKj H N H QR[]O QcY[]QVUPJUO QsO iexclKKEgraveJUO^Qkaring ^FMeJUiNihQcN H QR[]Oeuml[SX5ocirc QcYOtilde^jeJ H [ H MeJUiNihQcN H Qc[]O[SX H MeJordmXiacutejOb H QR[]ONPfOcircuuml]timesa2atildeltszligaumlgtszligYagravejaumlNPO^H [ H MeJgZOslash[ H Qc[]O[SX H MeJOtildeQcO H J[PhNPf^e[]ZaringNPQsOOumlutimesaagravej^ Y(Naeligbn[PhZ[]fcfcNihYm [SXltMJL[PhZJZfeFWFJordf[PJ H aringv q q shy9 5lt f^yenIcirccopyNcentampcentcopyIuml-Iumlsup1currenfcentyenYsectnot -sectsup1Ymicro-currenRpound Rreglaquofrac34Oumlgaagravejampreg(centpound -microETHcopyIumliexclcurrensup2uml Auml currenCIuml RAringordfcentsup3yOuml timesOslash aagravejNtilde RlaquomicropoundOumlyacuteUgraveUacuteUumllaagravejOgravecentyenfrac34Iumlsup1 brvbarAringsup2 brvbarmicro_Egraveh iexclpoundYcurrenbrvbarCcedildreglaquoNOacutehreglaquo5_Aringumllt -shytYacuteaagravejAuml sectETHregmacrshy_sectOcircCcedilRltparaOtildecurrendshyltregLLEgraveregEcirccentyacuteeumlEumlIacuteOumlsectsup1Uumlordfcopynotlaquo3shyyenLregmacrcurrenRlaquouumlOa2atildeltszligaumlgtszligYagravejreg(centcentordfcopyIuml-Iumlsup1currenfcentyenmicroOcircIgravecurrenOcirccentltfrac34Iuml RAringsup2 -_paraEgraveshycurrenRlaquo5LreglaquocopycurrenRcopynotcentcedilreglaquoyOumlcopytimesOslashKaagravejW Rlaquomicro Ouml UgraveUcircUacuteUuml aagravej_copy3pound REgraveampJmicrobrvbarregEcirccentltshycurrenRlaquo5LreglaquocopycurrenRcopynotcentJ -shyltAringPcurrenfcentcentYacuteaagravej_Iacutetimes Agravelaquocurrenbrvbaruuml thorn times Oslash yuml Rlaquomicroruuml thorn UgraveUcircUacuteUuml yuml sup3sectsup1Ccedilf brvbarparacopy5iexclcurrensup2umlwuumlreglaquoOslashAringordfcentIumlshydLreg(Ccedilbrvbar_paraEgraverOumlutimes OslashaagravejAgrave Rlaquo3microOuml UgraveUcircUacuteUuml aagravej_IacuteUgraveOumlsectNcopyNcentampsectmicroETH_Aringordfreg(CcedilR brvbarLregCcedilRcurrensup2umlordfocirc|aagravej Auml AringregLordfcent fcent_ordm

ocirc7raquo)aagravejOcircaacuteUacute thorn yuml aelig uumlaelig agrave atilde auml uacutefrac14 thorn yuml uumlOaLUcirc eacute iquestsup1Aacute j THORN uacuteucirc thorn yuml uumlNaeuml eacuteHj THORNAuml sectsup1ltAringPacute uumlNAringfrac34Iuml3AringP_centlt_laquocentYsectUumlordfcopysup1poundUgraveIumlcurrensup2umlguumlh -shyltAringPcurrenfcentcentordfYacuteaagravej_ordmW uumlNaacuteacircuuml thorn UgraveUacuteUuml yuml uuml thorn times Oslash yuml sup3eacute sectsup1ncopynotlaquo5reglaquo3currenRAringpound RparaIcirccurrensup2umlordfYacuteaagravejmicrobrvbarreg(AringshydmicroampumlAringPcurrenRpound Ouml UgraveUacuteUuml aagravejIgravecurrenOumlutimes OslashKaagravejsup3eacuteAgraveiquestsup1Aacutesectcopysup1laquoregLEumlreglaquo Auml RAringPmicroOcirclaquocurrenRAringordfpound Rpara1Igravecurren aelig Oumlgaagravejj RlaquomicroUcircYacutesectsup1jCcedilbrvbar_paracurrenyenshyltregLLEgravenCcedilbrvbarshydIgravecurrenRAringjcurrensup2uml_Oumlyaagravej_Iacute

plusmngLMOMraquo aring JbLNPO NiKKfVm MJL[PhZJZ f H [ H MeJ ^[]ZaringNPQcO Oumlutimes OslashaagravejaringNPO^ H [ H MeJ^e[]Z NPQcOtOuml UgraveUcircUacuteUuml aagravej^ ^^QcO[ H MeJ H WF[aringJjN H QR[]OYeFWFJOtilde[Pcent H NPQcO H MeJTbn[PhZ[]fcfsNihYmS^ H QcYIacuteOe[WY H hNPQ[]M H Xiacute[PhYWNih^ H [[PJ HtimesH MeJ ^eJLhdQVU~N H QUPJ [SX H MeJ bnhQ H JLhQR[]O ocirc aagravejaringWFJ H N`PJ5OumlyaagravejOcircaacuteAumlOuml H MeJiexclQZaringN[PJ^e[]Z NPQcOta not QV[^ j^MJUOOePcentmaeligJkWKfcQcbLQ H fVm H N`WQcO[

uumlnyacutenthornnyumll13YSordmY_FY

yenKbrvbarsect =4 acirc $ fH MeJtimes^QcYZbn[]O H QcOBjQ H QRJUY(QsO H [ NPbLbn[]jO HUacuteH MNPOF`BY H [ H MeJtimesbn[PhZ[]fcfcNihlmSe H MeJtimes^eJLhQVUiN H QVUPJ[SXocirc aagravejQcYcopy[]QVUPJUOacentmKaring

ocirc raquo aagravejumlaacute uacuteucirc thorn yuml uumlNaeuml eacutej THORN uacutefrac14 uumlOaLUcirc eacuteAgraveiquestsup1Aacutej THORN $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde auml thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afj

q centUWQR[]jYZfVmSe H MeJ7YJUbn[]O^ H JLhlZ [SX H MeJ7^eJLhQVUiN H QVUPJ afjaQcYcurrenLJLh[ YZQcObnJ H MeJJk H JLhONPf(centEgrave[]jO^NihYm aelig OumlD[SX H MeJ`QZaringN[PJaQcYkBJU^^OcircJLKfcNPbLQsO[` uumlN_WQ H MQ H YJkWKhZJUYZYQR[]OOeWNtildeJyO^Oaring

ocirc7raquo aagravejumlaacute uacuteucirc thorn yuml aduuml thorn UgraveUcircUacuteUuml yuml1 uuml thorn timesOslash yuml jaeuml eacuteHj THORN $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde auml thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afmacr]jMJUacute^JLhQVUiN H QVUPJOtilde[SXocirc cent aagravejQcY(bLfcNPYZYQcbLNPfdaring

ocirc7raquocent aagravejOcircaacute uacuteucirc thorn yuml a uuml thorn otilde)yumld huuml thorn otilde)yuml7 eacutejaeuml eacutej THORN af]jWMJLhZJ a2atildeshyszligaumlKszligYagravejQcY H MeJaumlbLjehlU~N H jehJ[SXQYacutea2atildeltszligaumlgtszligYagravej^MeJLhZJXiacute[PhZJSe H MeJOtilde^eJLhQVUiN H QVUPJ[SX H MeJgWM[]fRJOtildebnhQ H JLhQR[]O QsY H MeJordfXiacute[]fcfR[WiexclQcO[aring

ocirc raquo aagravejpoundaacute $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde aumlamp thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afzSj uacuteucirc thorn yuml aduuml thorn UgraveUcircUacuteUuml yuml uuml thorn timesOslash yuml uuml thorn otilde)yuml huuml thorn otilde)yuml eacutejaeuml eacutej THORN

^ ^~THORNUgrave2FEgraveOIgraveIcircIcirclt2EacuteltOacute Eacute0frac34ETH9Igrave8shyIgraveFEgraveEcirc+NtildeFETH3Ecirc+ltIgraveNtilde7==EacuteltEgrave7813Oacute14 ETHOEacute ETH9IgraveOacuteszligltOacuteshyEacuteOacuteAgrave+QIgraveFEumlEacuteAtilde=13ETH+ltIgrave5=KETHOEacuteshyEgravesup1euml5Oaelig[Ph^eJLh H [Tbn[]ZaringKj H J H MeJuUPJUfR[WbLQ H mUPJUb H [PhcopyeumleSWNtildeJMNUPJ H [yZ N`PJQ H NiKKEgraveJUNihyQcOH MeJhY HH WF[ ^e[]Z NPQcOaQcO H J[PhNPfcYiexcl[SX afzSjcentmJkWKhZJUYZYQcO[ H MeJZ NPY_XiacutejOb H QR[]OY[SX H MeJgUPJUfR[WbLQ H meumlQ^iexclJLhZJiexclWFJ H N`PJ H MeJ5[PJUOeJLhNPfbLNPYZJ5WiexclMeJLhZJ H MeJ^JUYZbnhQRK H [PhdYZaringNm ^eJLKEgraveJUO^ []OXiacuteJUN H jehZJUY5[]fR[PcentNPfsfVmN HH NPbMeJU^ H [ H MJtimeshJ[]QR[]OeumlNPO^eumlY[oZ Nm`^JLK=JUO^a[]O agrave^ JZOslash[W^eJUf$JUNPbdM^eJUYZbnhQRK H [PhIacuteNPYtimesNabn[]ZIacutecentQcON H QR[]OOacute[SXuXJUN H jhZJUYy[]fc[PcentNPfcfVmeumlN HH NPbMeJU^

uumlnyacutenthornnyumll13YSordmY_F

f $amp)(+-)013021+345627893lt=gt9A6CBH [ H MJOtildeJUP[]fVUBQsO[OslashhZJ[]QR[]OY_OumlcopytimesOslashKaagravejF[Ph_Ouml UgraveUacuteUuml aagravejaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejpoundaacuteAElig thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn timesOslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejszligiumlViumlViumlVszligagrave thorn timesOslash yumlaacute aagravejjuuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszligYagravejpoundaacuteAElig thorn UgraveUcircUacuteUuml yuml a2atildeltszligaumlgtszligagrave thorn UgraveUcircUacuteUuml yuml aagravejszligagrave thorn UgraveUcircUacuteUuml yumlcent aagravejszligiumlViumlViumlVszligagrave thorn UgraveUcircUacuteUuml yumlacirc aagravejjafi]j

WMJLhZJSaring agrave thorn(atilde yumlauml aacute 7aring thorn yuml5aelig thorn(atilde yumlauml a2atildeltszligaumlgtszligYagravej atilde auml WQ H Mpounda jOcircaacuteacircaVltjF[Pha Kf5 jiuml afh]j9J H jYuhY H bn[]ZOslashKj H J H MeJIacute^eJLhQVUiN H QVUPJOtilde[SXuuml thorn timesOslash yuml eFWFJgO^Oaring

aelig uuml thorn times Oslash yumlaelig agrave aacute aacuteccedilaumlegrave aelig thorn timesOslash yumlaelig agrave thorn times Oslash yumlauml a2atildeltszligaumlgtszligagrave thorn timesOslash yuml aagravejszligiumlViumlViumlVszligagrave thorn timesOslash yumlaacute aagravejj aelig agrave thorn timesOslash yumlaumlaelig agrave aagravej a s j J MNUPJOe[W H [bn[]ZOslashKj H J H MeJ ^eJLhdQVU~N H QUPJ [SXagrave thorn timesOslash yumlauml NPbLbn[Ph^QcO[ H [umlagrave^ JNiKK-fVm H MeJgMeJL[PhZJZigravefaumlNPO^WNtildeJy[PJ H aring

aelig agrave thorn timesOslash yumlaumlaelig agrave aacute $ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde auml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacutej THORN a fj

JLKfcNPbLQcO[ H MeJNtilde^eJLhdQVU~N H QUPJUY9[SX3agrave thorn timesOslash yumlauml WQ H M H MeJUQRhJkWKhZJUYZYZQc[]OYa fj9QcOa s jeSWFJ[Pcent H NPQsO H MJXiacute[]fcfR[WQcO[iexclJkBKhJUYZYZQR[]OX[Ph H MJF^e[]Z NPQcOaeligQcO H J[PhdNPf[SX H MeJ^eJLhQVUiN H QVUPJ[SX H MeJT^eJUYbnhQRK H [Ph uuml thorn times Oslash yuml aring

$ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde aumlacircaacute aacuteccedilaumlordfegrave -eacute thorn timesOslash yumlauml $ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde auml

aacuteccedilaumlordfegrave eacute thorn timesOslash yumlauml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacuteHj THORN a S jWMJLhZJSaring

eacute thorn timesOslash yumlauml aacute $ thorn yuml aelig thorn timesOslash yumlaelig agrave thorn timesOslash yumlauml a2atildeltszligaumlgtszligagrave thorn timesOslash yuml aagravejszligiumlViumlViumlVszligagrave thorn times Oslash yumlaacute aagravejj atilde auml a ]jMJIacuteJkWKhZJUYZYQR[]OwXiacute[Pha jyacuteaacute a Kf jiexclQcYbn[]ZOslashKj H JU^QsO H MeJaeligYZNSZOslashJordmZaringNPOOeJLhiexclWMQcfRJKNmBQsO[N HH JUO H Qc[]O H [ H MeJ`^QRhZJUb H QR[]O[SX H MeJ`Oe[PhlZaringNPfcopyUPJUb H [PheNPO^rWFJ H MBjY

uumlnyacutenthornnyumll13YSordmY_Fsup2

yenKbrvbarsect =4 acirc $ fmacr[Pcent H NPQsO H MeJg[PJUOeJLhNPfgJkBKhJUYZYZQR[]OXiacute[Ph H MeJauml^JLhQVUiN H QVUPJOtilde[SXocircOcircaagravejaring

ocirc raquo aagravejumlaacute uacuteucirc thorn yuml aduumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn times Oslash yuml uumlgtthorn otilde)yuml d hreguumlgtthorn otilde)yuml eacuteHjaeuml eacutej THORN aacuteccedilaumlordfegrave eacute thorn timesOslash yumlauml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacuteHj THORN acircccedilaumlordfegrave eacute thorn UgraveUcircUacuteUuml yumlauml uacuteucirc thorn yuml aelig thorn UgraveUcircUacuteUuml yumlauml aeuml eacutej THORN aacuteccedilaumlordfegrave -eacute thorn timesOslash yumlauml $ thorn yuml aelig aelig thorn

timesOslash yumlaumlaelig agrave atilde auml acircccedilaumlordfegrave eacute thorn UgraveUcircUacuteUuml yumlauml thorn yuml aelig aelig thorn

UgraveUcircUacuteUuml yumlaumlaelig agrave atilde auml a j^ ^ecirccopyEgraveEacuteshyIacuteIumlETH39shyIgrave8shyIgraveFEgraveEcirc+NtildeFETH3gt+QIgraveETHOEacute3iexclNtildeshyEgrave78QIcircETH9IgraveumlIgrave+EacuteltEumlETHshyETHEacuteshyOacuterIgrave5euml1ONtildeFETH32EacuteltOacuteEacute10wETH9Igrave Ntilde=KETH3gt+ltIgrave=EacuteshyOacuteshyETHEacute1EgraveMJ[P[]NPf[SX H MQsYampKNih H QcY H [aumlbn[]ZOslashK-j H J H MeJ(JkWKhZJUYZYZQc[]Oaelig[SX H MeJuUPJUfc[BbLQ H mUPJUb H [PheumlwWMQcbdMregZaringN`PJUY H MeJUacutebLjehYUPJJUP[]fVUPJOtildeNPYXiacuteNPY H NPYFKEgrave[]YZYZQRcent-fRJ H [WNih^Y(NZaringQcOQCZIacutejFZ[SX H MeJaeligbnhQ H JLhdQR[]Oumlocirc^KO`[Ph^eJLh H [ ^JU^jbnJ H MJyUPJUfR[WbLQ H mwUPJUb H [PhOtilde[SX H MeJaeligNPb H QVUPJbn[]O H []jehQXhZ[]Z H MeJF^eJLhQVUiN H QVUPJ0[SX H MeJNtildebnhQ H JLhQR[]OOeWFJMNUPJ H [5Z N`PJFNiKKEgraveJUNih H MeJUPJUfR[WbLQ H moUPJUb H [PhUacuteQcO H MJTfcNPY HH WNtilde[ ^e[]ZaringNPQcOaQcO H J[PhdNPfcY(centm JkWKhZJUYYZQcO[ H MeJZ NPYcentEgrave[]jO^NihYm QcO H J[PhNPfcY^FMQcYbLNPOaJUNPYZQcfVm centEgraveJauml^e[]OeJTjYZQcO[MJL[PhZJZigravefe-^[]ZaringNPQcOQcO H J[PhNPfcYbLNPOeumlNPfVWNmWYiexclcentEgraveJIacuteJkBKhJUYZYJU^ NPYcentEgrave[]jO^NihYm QcO H J[PhdNPfcY^gtiexcl[WFJUPJLheOXiacute[PhYZQCZOslashKfcQcbLQ H mSe-fcJ H jYbn[]OYZQc^eJLh H MeJaringbLNPYJUYgWMeJLhZJ H MeJUYJOslashfcNPY HH WNtilde[`QcO H J[PhdNPfcYOtildeNihZJJBjNPf H [currenLJLhZ[eOgraveWMQcbMaringMNiKKEgraveJUOYX[PhZOslash[]Y H hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhdQRK H [PhY^S5OH MN H bLNPYJSeNPbLbn[Ph^QsO[ H [ H MeJaeligQcOeJBjNPfcQ H m[SXvNPjbdMOgravemV G bdMOgraveWNih H currenSe H MeJXiacuteNPY H JUY H^eJUbnhJUNPYJa[SXocirc|aagravejOslashQcY [Pcent H NPQcOeJU^ XhZ[]Zecirca jOslashcentm bMe[B[]YZQcOF[beuml aacute ccedilyeacute WMQsbMfRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[aeligJUP[]fcj H Qc[]O JjN H QR[]OOaringaelig Yacuteaagravejaelig agrave aacuteFuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yuml uuml thorn otilde)yuml eacute aacuteccedilaumlordfegrave ETHeacute thorn timesOslash yumlauml aelig thorn timesOslash yumlauml acircccedilaumlordfegrave ETHeacute thorn UgraveUcircUacuteUuml yumlauml aelig thorn UgraveUcircUacuteUuml yumlauml lteacute a macr]jUcircX H MJ^eJUYZbnhQRK H [PhY$^e[TOe[ H ^eJLKEgraveJUO^times[]OregagravetaiacutehZJ[]QR[]OeV4QcO^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhYjeH MeJgiexcl hZJU^jbnJUY H [ H MeJordfXiacute[]fcfR[WQcO[aeligJkWKhZJUYZYQR[]OOaringaelig Yacuteaagravejaelig agrave aacuteigraveuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yumldn reguuml thorn otilde)yuml7 eacutelteacute a ]j

uumlnyacutenthornnyumll13YSordmY_FY

f $amp)(+-)013021+345627893lt=gt9A6CB JaeligbLNPO`O[ H QcbnJ H MN HH MeJtimes^eJLKEgraveJUO^eJUObnJauml[SX H MJIacute^eJUYZbnhdQRK H [PhY[]OwagraveeEgraveNPO^aY[ []OH MeJiexclbLjehYUPJJUP[]fcj H QR[]OOeQcO^jbnJUY0NP^^Q H QR[]ONPf H JLhlZaringYFQcO H MeJiexclJUP[]fcj H QR[]O JjN H QR[]O[SX H MJFNPb H QVUPJ(bn[]O H []jeh^SMeJNP^^Q H QR[]ONPf H JLhZaringYQX[]jO^IacuteQcOoa macr]jbLNPOOe[ H hZJUNP^QsfVmcentEgraveJtimes[Pcent H NPQcOeJU^ WMJUO H MeJOslash^mBONSZaringQcbLNPfampYZbMJZOslashJaringQcYOtildeQcO H hZ[W^jbnJU^eumlNX H JLh H MeJOslashbn[]ZaeligVKj H N H QR[]Oa[SX H MeJaelig^eJLhQVUiN H QVUPJaeligjYZQcO[o0jfcJLhVA9N[PhNPOF[PJIacuteJBjN H QR[]OY^MjYe-Q H QcY[SX=KhQZaringJOeJUbnJUYZYZQ H m H [TQcO H hZ[B^jbnJ H MeJ^mWONSZaringQsbLNPfeYZbMeJZaringJiexclQcO H [ H MeJbnhQ H JLhQR[]OQ H YZJUfVXiexclQcO[Phd^eJLh H [JUNPYZQsfVmsup1[PJ H H MeJUYJaNP^^Q H QR[]ONPf H JLhlZ Y QcO bLNPYJa[SXhJ[]QR[]OWV^eJLKEgraveJUO^JUO H ^JUYZbnhQRK H [PhdY^MNPO`BY H [ H MeJUYJeumlNP^^Q H QR[]ONPf H JLhlZaringYeWFJ`JUOYZjehZJH MeJordfXqNPY H JUY H JUP[]fcj H QR[]O [SX H MeJIacutebLjehYUPJ H [WNih^YiexclNZaringQcOQZIacutejZ [SX H MeJTbnhdQ H JLhQR[]OO^ JeumlbLNPO NPfcY[hZJZaringNihY` H MN H H MeJUPJUfR[BbLQ H m[SX H MeJ bn[]O H []jhQsOa macr]j bLNPOcentEgraveJ K=[]YQ H QVUPJ[PharingOeJ[]N H QVUPJS^|MQcYaeligNPO QcO H JLhZJUY H QcO[eumlKh[PK=JLh H mOacute[SXiexclhZJ[]QR[]OWVcent-NPYJU^NPb H QVUPJ bn[]O H []jehY^ q O H MeJ bn[]O H hNihYm H [ centEgrave[]jO^NihYmVcentNPYJU^7NPb H QVUPJ bn[]O H []jehdYehZJ[]Qc[]OWVcentNPYJU^7NPb H QVUPJbn[]O H []jehYOslashNPfcfR[WYZ[]ZOslashJKNih H Ytimes[SX H MeJ bLjehYUPJ H [YZMehQsO`WMQcfRJ[ H MeJLhY(JkWKNPO^O^FMjY H MeJaumlQcOQ H QsNPfcQVcurrenUN H QR[]O QcYfRJUYYbn[]OY H hNPQsOeJU^O^^ macr^iexclEacuteltIacuteETHNtildeFETHEacuteshyOacute Eacute10wETH9IgraveumlIgravesup1+shyEacuteltEumlETHETH3EacuteshyOacuterIgrave5euml1ONtildeFETH32EacuteltOacute0EacuteltEgravexIcircEacuteshyIacute5IgraveIgrave2shyNtildeshyIacuteEumlOgraveIgraveIcirclaquoEacute10C8ltIgraveIcircd=KEgrave(ETHEacuteltEgraveIcircMJu[P[]NPf[SX H MQsY$KNih H QsY H [timesbn[]ZaringKj H J H MeJiexclJUP[]fcj H QR[]O JjN H QR[]Oaring[SX H MeJNPb H QVUPJbn[]O H []jehOcircXiacute[Ph0Y[]ZOslashJ(JkeNSZOslashKfcJUY$[SX-hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhY^SgJ H jY H N`PJY[]ZaringJT^eJUYZbnhQcK H [PhY(^eJLKEgraveJUO^QsO[aelig[]O H MeJyZOslashJUNPOBSOtimesOslash [Phiexcl[]O H MeJgUiNihQcNPObnJjuFtimesOslash [SXH MeJOtildeJUP[]fUBQcOF[OslashhZJ[]QR[]OwOumlcopytimesOslashaagravejaringEFFG FFH SOtimesOslashKaagravejumlaacute iacute $ w$ thorn yuml Otilde atilde auml WiexclQ H M icirctimesOslashaacute w$ thorn yuml atilde aumlu centtimes Oslash aagravejsup1aacute iacute $ w$ thorn yuml aOtilde SOtimes OslashKaagravejj cent atilde auml^ macr^f^iumlordfcentltshyltAringordfregethIumlIgravecurrenRAringcentmicroETHfrac34IumlltlaquomicroRreglaquoNOacute]currenRlaquosectsup1jCcedilR RAringordfregL Rlaquo3shy JTbdMe[B[]YJ H MeJgXiacute[]fcfR[WQcO[OslashYJ H [SX^eJUYbnhQRK H [PhYaring

uuml thorn UgraveUcircUacuteUuml yuml ^e[BJUYOe[ H ^eJLKEgraveJUO^[]Owagraveuuml thorn timesOslash yuml aacutecntildeaLuOcenttimes Oslash j a zSjWMJLhZJampntildeaOgravejQsYNOslashKEgrave[]YZQ H QVUPJiexclXqjOb H QR[]O[SX$bLfcNPYYograve aj^MQcYiexclUPJUfR[WbLQ H mumlUPJUb H [PhOslashQcYaumlbn[]ZaringKj H JU^centmeumlhZJLKfcNPbLQsO[ H MeJ H JLhZaringYauml[SXga jgWQ H MH MeJUQch$JkBKhJUYZYZQR[]OY^ J hY H JkWKhZJUYZY H MeJ^eJUYZbnhQcK H [Ph|uuml thorn timesOslash yuml NPYyNTbn[]ZTcentQsON H QR[]O[SXamp^e[]ZaringNPQcOY(QcO H J[PhdNPfcYaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacutemiddot thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn timesOslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejjaacutecntildeoacute agrave thorn timesOslash yuml aagravejagrave thorn timesOslash yumlcent aagravejfocirc a i]j

uumlnyacutenthornnyumll13YSordmY_FPa

yenKbrvbarsect =4 acirc $ fzWMJLhZJSaring EFFG FFH agrave thorn timesOslash yuml aagravejpoundaacute w$ thorn yuml aOtildegta2atildeltszligaumlj SOtimes OslashaagravejjUcirccent atilde aumlagrave thorn timesOslash yumlcent aagravejpoundaacute w$ thorn yuml atilde auml a h]j O^ H MBjYaring aelig thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacuteacircaOtildeKa2atildeshyszligaumlFj S timesOslash aagravejjUcirccentaelig thorn timesOslash yumlcent a2atildeshyszligaumlKszligYagravej|aacute f ad s j Y5XiacuteNihaumlNPY H MeJOslash^e[]Z NPQcO`QsO H J[PhNPfsYUacute[SX H MeJOslash^eJLhQVUiN H QVUPJaelig[SX H MJXqjOb H QR[]OY aelig thorn timesOslash yumlaumlNihZJaumlbn[]ObnJLhOeJU^OeFWFJauml[Pcent H NPQsOOaringEFFFG FFFH w5$ thorn yuml frac14ltotildeouml $_divideoslashfrac14 atilde aumlordmaacute frac14ltugrave $frac14 w$ thorn yuml aOtildeKa2atildeshyszligaumlFj SOtimesOslashKaagravejj atilde aumlaacute sw5$ thorn yuml frac14ltotilde ouml $_divideacircfrac14 atilde aumlordmaacute s adfjMJ H JLhZaringY eacute thorn timesOslash yumlauml NPfcY[aringMNUPJ H [ cent=Jaumlbn[]ZaringKj H JU^OeNPO^tWNtildeJg[PJ H aringEFFFG FFFH eacute thorn

timesOslash yuml aacute w$ thorn yuml uacute ouml $_divideacircntilde raquo7ucirc uacute ouml $_divideoslashuacute ouml $_divideacircyacuteuuml atilde aumlaacutecntilde raquo aLu centtimesOslash jeacute thorn timesOslash yumlcent aacute w$ thorn yumlBthorn uacute ouml $_divideoslashthorn uacute ouml $_divideacirc yuml acirc ntilde raquo ucirc uacute ouml $_divideoslashuacute ouml $_divideacirc uuml atilde aumlregaacute u centtimes Oslash ntilde raquo aLu centtimes Oslash j

G QsObnJ H MeJOslash^e[]Z NPQcO`QsO H J[PhNPfsYiexcl[SX frac14ltotildeouml $ordfdivideoslashfrac14 NPO^ frac14ltotildeouml $_divideacircfrac14 NihZJaeligJBjNPf H [currenLJLhZ[poundadfjeWFJOtildebLNPO ^QRhZJUb H fVm bn[]ZOslashKj H J H MeJiexclUPJUfR[WbLQ H mregUPJUb H [Ph[SX H MeJOtildeNPb H QVUPJTbn[]O H []jehuXiacutehZ[]Za macr]jNPO^WNtildeJyO^Oaringaelig Yacuteaagravejaelig agrave aacuteuumlgtthorn timesOslash yuml uumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn otilde)yuml dacute uumlgtthorn otilde)yuml eacutentilde raquo aLu centtimes Oslash jaaOtilde SOtimesOslashj cent u centtimesOslash jcedilQeacute ad j5Otad jeOgraveWFJbLNPOaringhJZaringNihY` H MeJ(KhZJUYJUObnJ[SX H MJNP^^Q H QR[]ONPf H JLhlZntilde raquo aLuOcenttimesOslash jaaOtilde SOtimesOslashj cent u centtimesOslash jeacuteacirc^^ macr^ ^iumlordfcentltshyltAringordfregethIumlIgravecurrenRAringcentmicroETHfrac34IumlltlaquomicroRreglaquoNOacute]currenRlaquosectsup1jpoundn Rlaquo JTbdMe[B[]YJ H MeJgXiacute[]fcfR[WQcO[OslashYJ H [SX^eJUYbnhQRK H [PhYaring uuml thorn UgraveUcircUacuteUuml yuml ^e[BJUYOe[ H ^eJLKEgraveJUO^[]Owagraveuuml thorn timesOslash yuml aacutecntildeaOtilde S timesOslash aagravejj adS]j

uumlnyacutenthornnyumll13YSordmY_FPo

fi $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJampntildeaOgravejQsYNOslashKEgrave[]YZQ H QVUPJiexclXqjOb H QR[]O[SX$bLfcNPYYograve aj^ YKhZJUWQR[]jYZfVmSe H MeJlaquoUPJUfR[WbLQ H mfrac34UPJUb H [PhTQcYbn[]ZOslashKj H JU^eumlcentmhZJLKfsNPbLQcO[ H MJ H JLhZaringY[SXua jcopyWQ H M H MeJUQRh(JkWKhZJUYZYZQc[]OY^FMeJauml^JUYZbnhQRK H [Ph uuml thorn timesOslash yuml QcY(JkWKhZJUYZYJU^centmKaringuuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacutei thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn times Oslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejjaacutentildeoacuteOtilde agrave thorn timesOslash yuml aagravejagrave thorn timesOslash yumlcent aagravejfocirc adj

WMJLhZJSaring EFFG FFH agrave thorn timesOslash yuml aagravejpoundaacute w5$ thorn yuml Otildegta2atildeltszligaumlj atilde aumlagrave thorn timesOslash yumlcent aagravejpoundaacute w5$ thorn yuml atilde auml adSmacr]j O^ Y[aring aelig thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejOcircaacuteegraveOtildegta2atildeltszligaumljaelig thorn timesOslash yumlcent a2atildeshyszligaumlKszligYagravejOcircaacute f adS]jG QsObnJ H MeJordfXiacutejOb H QR[]OY aelig thorn timesOslash yuml NPO^ aelig thorn timesOslash yumlcent ^e[aringO[ H ^eJLKEgraveJUO^[]OtagraveeFWFJTMNUPJSaringEFFFG FFFH w$ thorn yuml frac14ltotilde5ouml $ordfdivideoslashfrac14 atilde aumlregaacute s

w$ thorn yuml frac14ltotilde5ouml $ordfdivideacircfrac14 atilde aumlregaacute s ad]zSjMJ H JLhZaringY eacute thorn timesOslash yumlauml NihZJ H MJUObn[]ZOslashKj H JU^eNPO^WFJauml[Pcent H NPQcOOaringEFFFG FFFH eacute thorn

timesOslash yuml aacute w$ thorn yuml thorn uacute ouml $ordfdivideacircntilde raquo7ucirc Otilde uacute ouml $ordfdivideoslashuacute ouml $ordfdivideacircyacuteuuml atilde aumlaacute thorn iacute $ w$ thorn yuml ntilde raquo aOtilde SOtimesOslashj atilde aumleacute thorn timesOslash yumlcent aacute w$ thorn yuml uacute ouml $ordfdivideoslashthorn uacute ouml $_divideacirc yuml acirc ntilde raquo ucirc Otilde uacute ouml $ordfdivideoslashuacute ouml $ordfdivideacirc uuml atilde aumlordmaacute ugrave $iacute $ w$ thorn yuml ntilde raquo aOtilde SOtimesOslashj atilde auml JUacutebLNPO H MeJUObn[]ZOslashKj H JUacute^QRhZJUb H fm H MJ_UPJUfR[WbLQ H mUPJUb H [Ph[SX H MeJUacuteNPb H QVUPJOtildebn[]O H []jhXiacutehZ[]Zigravea macr]j(NPO^WNtildeJyO^Oaringaelig Yacuteaagravejaelig agrave aacuteuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yumldacute uuml thorn otilde)yuml eacute aOtilde SOtimesOslashjicircFtimesOslash $ thorn yuml ntilderaquo)aOtilde SOtimesOslashjmiddotQeacute adSi]j

5O H MeJtimesKNih H QsbLjfcNihiexclbLNPYZJIacute[SXIcircntildeaOgravejuaacuteOslashScenteKWFJtimesMNUPJnntilde raquo aOgravejcopyaacute NPO^ H MeJLhZJXiacute[PhZJSeH MeJiexclNP^^Q H QR[]ONPf H JLhlZaringYebn[]ZaringQcO[gXiacutehZ[]Z H MeJ UiNihQcN H QR[]O [SX H MeJiexcl^eJUYbnhQRK H [PhYOcircWQ H MagraveeNihJJjNPf H [gcurrenLJLhZ[^[WNtildeJUPJLheWQsOordmZOslash[]Y H bLNPYZJUYe H MQsYyNP^^Q H Qc[]ONPf H JLhlZoslashQsYyOe[ H

uumlnyacutenthornnyumll13YSordmY_FPy

yenKbrvbarsect =4 acirc $ fhcurrenLJLhZ[^ not [PhaeligJkeNSZOslashKfRJSeampQVXUgraventildea]jaacute yuml Wiexcl cent eshyWiexclQ H MN`KEgrave[]YZQ H QVUPJ bn[]OY H NPO H eQWFJMNUPJSaring

ccedil aacuteFuumlgtthorn timesOslash yuml uumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn otilde)yuml uumlgtthorn otilde)yuml eacute aOtilde SOtimesOslashjicircFtimesOslash $ thorn yuml aOtilde SOtimesOslashj IcircAumlaOtilde SOtimesOslashj cent adSh]j^ ^~IacuteFEumlIgraveFIacute5IgraveFOacuteETHNtildeFETHEacuteshyOacuteAgraven13ETH9 ETH9IgraveumlEumlIgravesup1+ltIgraveFEumltIcircIgraveFETHbIacute5IgraveFETH9shyEacute18 YXqNih0NPY H MeJOBjFZOslashJLhdQcbLNPfeQZOslashKfcJZOslashJUO H N H Qc[]OtimesQsYybn[]ObnJLhOeJU^eSWNtildeJbLNPOZOslash[W^eJUf H MeJNPb H QVUPJaumlbn[]O H []jeh_WQ H MNPOJkBK-fcQcbLQ H KNihNSZOslashJ H JLhdQVcurrenUN H QR[]ObaN[PhNPO[]QcNPOXiacute[PhlZtimesjfcN~VH QR[]OKjaelig[Ph NPO QCZOslashKfcQcbLQ H []OeJraNtildejfRJLhQsNPO Xiacute[PhlZIacutejfcN H QR[]Ogtj^ G JLJra G J H MQcNPOOe5fhSh s jNPO^egraveaJUfcQcO[PJ HH J NPO^ _a[]O H N[]ON H e sSs fjX[PhaeligNPOQcO H JLhZJUY H QcO[eumlbn[]ZOslashKNihdQcY[]OcentEgraveJ H WFJLJUO H MeJ H WNtilde[ZOslashJ H M[B^Y^ iexclO[ H MeJLhOtildeQcO H JLhJUY H QcO[aringhJUBQRJW[]O H MeJtimes^Q=JLhJUO HZOslashJ H M[B^Y[SX$NPb H QVUPJIacutebn[]O H []jehQcY(Kh[PK=[]YZJU^ QcOpoundaw_[]O H N[]ON H J H NPfd^Ve sSs fj^iexclJLhZJSeWFJaumljYJ H MeJaumlfRJUPJUfYZJ H ZOslashJ H Me[W^ NiKKhZ[]NPbdM KhZ[PKEgrave[]YJU^centm q YMeJLhNPO^G J H MQcNPOa q YZMJLh NPO^ G J H MQcNPOe fhSiSi]j centj H hJ[]QR[]OWVcentNPYJU^ NPb H QVUPJeumlbn[]O H []jehdYZaringNmNPfcYZ[ centEgraveJQZOslashKfcJZOslashJUO H JU^7centmjYQcO[`XNtildeV4YK-fcQcOeJUYXiacute[PhaeligNPOJkWKfcQsbLQ H K-NihNSZOslashJnVH JLhQcurrenUN H QR[]O ayhZJUbLQc[]Y[ NPO^XNihfcNPj^Oe sSs fj^shyMJ`PJmeumlQc^eJUN [SX H MeJOslashfRJUPJUfampYJ HZOslashJ H M[B^QsY H [ QcO H hZ[W^jbnJaumlNPO`NPjkWQsfcQcNihYmXiacutejOb H QR[]O l a2atildeltszligaumlgtszligYagravejYZjbdM H MN H YacuteaagravejQcY H MJtcurrenLJLhZ[OacutefRJUPJUfYJ H [SX l ^OcircMJXiacutejOb H QR[]O l QsYaelig[SX H JUO bMe[]YJUO H [centEgraveJ H MeJYZQ[]OeJU^ ^QcY H NPObnJordfXiacutejOb H QR[]O[SXQYacuteaagraveje-NPO^ QsY H MeJUObdMNihNPb H JLhQVcurrenLJU^acentmKaring

YacuteaagravejOcircaacute a2atildeltszligaumljPO l a2atildeshyszligaumlKszligYagravejaacute s a2 s jMQcYOcirc0jfRJLhQcNPOordmXiacute[PhlZtimesjfcN H QR[]O KhZJUYZJUO H YFYJUPJLhNPfEgraveNP^UiNPO H N[PJUYga G J H MQcNPOOeKfhShS]j^not QRhY H fVmSe H MeJabLjehYUPJ l ZaringNmcenthJUN`[PhoZOslashJLhY[PJNPY H MJXiacutejOb H QR[]O l JUP[]fUPJUYeNPO^ H [PK=[]fc[S[]QcbLNPfbdMNPO[PJUYFNihZJ H MBjY$JUNPYZQsfVmOslashMNPO^fRJU^^ G JUbn[]O^fVmSe H MJJUP[]fVUWQcO[XqjOb H QR[]O l a2atildeshyszligaumlKszligYagravejNPfVWNmWY(hZJZaringNPQcOY(NlaquoXiacutejOb H QR[]O NPfcfR[WQcO[timesJltz bLQRJUO H OBjFZOslashJLhVQcbLNPfFYZbdMeJZOslashJUY^OcircMQRh^fVmSe H MeJ[PJL[]ZOslashJ H hQcb KhZ[PKEgraveJLh H QcJUYT[SX H MeJ bLjehYUPJSe$fcQV`PJ H MeJbLjehlU~N H jehJ NPO^ H MeJOslashOe[PhlZ NPfshyUPJUb H [PhordfJUfs^eacute e=bLNPO centEgraveJIacuteJUY H QZaringN H JU^euml^QRhZJUb H fmXiacutehZ[]Z H MeJTfcJUPJUfgYJ H XqjOb H QR[]Oaring aacute V ucirc l l uuml NPO^ eacuteecircaacute l l a2FfjMJJUP[]fsj H QR[]O JBjN H QR[]O H MeJUO centEgraveJUbn[]ZOslashJUYaringaelig l aagravejaelig agrave aacuteegraveccedilacute l a2 jMJregUPJUfR[WbLQ H msup1XiacutejOb H QR[]OxccedilEQcYIacutebn[]ZaringKj H JU^7[]OfVm[]O H MeJbLjehYUPJYacuteaagravejaumlcent-j H WFJbLNPO Jk H JUO^ Q H YFJkBKhZJUYZYZQR[]O H [ H MeJiexclWMe[]fRJUacuteQZaringN[PJOtilde^e[]Z NPQcOoOumlordf^[OslashQZOslashKfRJZaringJUO HH MeJIacutefRJUPJUf9YJ H ZOslashJ H Me[W^OeY[]fsj H QR[]OYuZtimesjY H centEgraveJgXiacute[]jO^ H [ bLQRhbLjZyUPJUO H Kh[PcentfRJZaringY

uumlnyacutenthornnyumll13YSordmY_FP

s $amp)(+-)013021+345627893lt=gt9A6CBbn[]ZaringQsO[ Xh[]Z H MeJpoundXqNPb HH MN H`H MeJYZQV[]OeJU^ ^QcY H NPObnJumlXqjOb H Qc[]O l QcYaOe[ H NY[]fsj H QR[]O[SX H MeJyiexcl a2 jeEgraveYJLJa []ZOslashJUYNPO^ not NPjF[PJLhNPYe sSsSs jyacuteXiacute[Phiexcl^J H NPQcfcY^5Oaelig[]jehWF[PhY`gte H MJuXiacutejOb H QR[]O l QcYamphZJUQsOQ H QcNPfcQcurrenLJU^TY[ H MN H Q H hZJZaringNPQcOYampNOtilde^QsY H NPObnJXqjOb H QR[]OenYZJLJ5aq jecentEgraveJLh H NPO^gcOtilde[PhdOeKhZ[PcentY H e sSs fJLcenthZJUjFUPJSe sSsSs jOXiacute[Ph^J H NPQcfcY[]O H MJOtildehZJUQcOQ H QsNPfcQVcurrenUN H QR[]O JBjN H QR[]OO^5Oeuml[Ph^eJLh H [QCZOslashKhZ[UPJaringOjFZaringJLhQcbLNPfJltz bLQRJUObmSeOWFJaringbn[]ZOslashKj H J H MeJOslashJjN H QR[]O[]O NIacuteONihhZ[Wcent-NPO^aringJUObLfc[]YZQcO[ H MJiexclfRJUPJUf s [SX H MeJUacutefRJUPJUf-YJ H XqjOb H Qc[]OO^ JUacuteNPfcY[jYZJZtimesjf H QRhZJUYZ[]fcj H QR[]O H JUbdMOQBjeJUYcentmZaringN`BQsO[ H MeJFNPb H QVUPJ(bn[]O H []jh$JUP[]fVUPJcopyhY H[]ONOslashfc[W hZJUYZ[]fcj H QR[]O QZ N[PJS^FMeJordfONPfbn[]O H []jeh[Pcent H NPQcOeJU^Xiacute[Ph H MQcYhJU^jbnJU^QZ N[PJaumlQcY H MeJUOjYJU^ NPYNPOQsOQ H QcNPfEgravebLjehYUPJordfXiacute[Ph H MJOtildehZJUNPfgYZQVcurrenLJaumlQCZaringN[PJS^

EparaacuteAgravegtmicrosup1acuteIKJcedilJT2MgtI MraquowMgtmicrosup1MAgravegtacuteIltacuteMgtPltAtilde iquest acuteAgravegtT2MKIshyAtildeAcirccedilAtildeacuteNicircMgtI cedilAEligMgtmicroOcircacuteOgraveJTCJT13MKI sup2OcircacuteJordfsacuteacuteI Jfrac14ltacutegcedilFLT2cedilIshyROgraveacuteAtilderaquoAMLBqoLacute13AtildeR]cedilsup32acute GmicrobcedilAgraveacuteAtilde5O H MQcYUacuteYJUb H QR[]OOeOWFJOslashKhZ[PKEgrave[]YJaeligY[]ZOslashJOslashhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhY H [YJ[iVZOslashJUO H M[]ZOslash[S[PJUOeJL[]jYiexclhZJ[]QR[]OYiexcl[]Ofrac34[PhZJmBYbLNPfRJIacuteQZ N[PJUY^gtMJUYJIacute^eJUYbnhQRK H [PhYiexclNihZJcentNPYZJU^[]O H MJZaringQcOQZaringQVcurrenUN H QR[]O [SX H MeJU~NihdQcNPObnJUYauml[SX H MJ H WF[`bn[]OYZQc^eJLhZJU^OacutehZJnV[]QR[]OY^ 5O H MJ7YJUbn[]O^ K-Nih H e H MJQZOslashKEgrave[Ph H NPObnJOacute[SX H MeJNP^^Q H QR[]ONPf H JLhZaringYebn[]ZaringQsO[XiacutehZ[]Z H MeJiexclU~NihdQcN H QR[]O [SX H MeJUacute^eJUYZbnhQcK H [PhYWQ H M H MeJiexclJUP[]fUBQcOF[IacutehZJ[]Qc[]OYeQcY9MQV[]MfcQ[]M H JU^O^ G QCZOslashKfRJJkWNSZaringKfRJUY9YMe[W H MeJ0QZOslashKEgrave[Ph H NPObnJ$[SX H MeJUYJ0NP^^Q H QR[]ONPfH JLhlZ Y H [ NPbMQRJUPJ H MeJOtildeJkWKEgraveJUb H JU^aYJ[]ZaringJUO H N H QR[]O^^f^laquoIgraveIcirc=KEgrave(FETHOEacuteltEgraveIcircEcircgtNtildeltIcircIgrave8 EacuteshyOacute ETH9Igravek+NtildeshyEgrave13NtildeshyOacute=KIgraveC0EacuteshyEgraveh4ltEgraveOIgravesup1QIcirc=NtildeltEumlOgraveIgrave2Iacute Ntilde4ltIgraveIcircMJQcO H JUOYZQ H mregXiacute[Phu[PhZJmWYZbLNPfRJaumlQZ N[PJUY(QcYhZJLKhZJUYZJUO H JU^centm NlaquoXqjOb H QR[]OOtilderegaringOgraveOumlOtilde 13ordfcentwntilde Otilde 13laquo^ JaKhZ[PKEgrave[]YJ H [bZaringQcOQZaringQVcurrenLJ H MeJU~NihdQcNPObnJUYOslash[SX H MeJ H WF[bn[]OYZQc^WVJLhZJU^ Me[]Zaring[S[PJUOeJL[]jY hZJ[]Qc[]OY QcO [Ph^eJLh H [YJ[]ZOslashJUO H H MeJZ^uMJXiacute[]fcfR[WQcO[^eJUYbnhQRK H [PhY(NihJaumlYZj[S[PJUY H JU^OaringEFG FH uuml thorn UgraveUacuteUuml yuml aacutecntildeaLuOcentUgraveUacuteUuml juuml thorn times Oslash yuml aacutecntildeaLuOcenttimes Oslash juuml thorn otilde)yuml aacutecb a2Ograve]jWMJLhZJjntildea]jQcYNOslashKEgrave[]YZQ H QVUPJordfXiacutejOb H QR[]O [SX$bLfcNPYZYEacuteograve aOtilde 13yj(NPO^kb`NOslashKEgrave[]YZQ H QUPJaumlbn[]OWVY H NPO H ^MJTbn[]ZOslashKj H N H Qc[]O[SX H MeJUPJUfR[BbLQ H mUPJUb H [PhaumlQcY^JU^jbnJU^tXiacutehZ[]Z H MeJIacutebn[]ZOslashK-j H N~VH QR[]O`[SX H MeJaelig^eJLhQVUiN H QVUPJIacute[SX H MeJtimesbnhdQ H JLhQR[]Opoundocirc7^eJUPJUfR[PKEgraveJU^ QcO G JUb^^ macr^feWMQsbMfRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[aeligJUP[]fcj H Qc[]O JjN H QR[]OOaringaelig Yacuteaagravejaelig agrave aacuteethntildeaLu centtimesOslash j ntildeaLu centUgraveUcircUacuteUuml jb ntilderaquo)aLu centtimesOslash jaaOtilde S timesOslash j cent u centtimesOslash j ntilde raquo aLu centUgraveUcircUacuteUuml jaaOtilde SUgraveUcircUacuteUumlj cent u centUgraveUacuteUuml jIcirc13eacute a2Sj

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ fMJiexclYZQcOF[]fRJiexclK-NihNSZOslashJ H JLhcopyWNtildeJOtildeOeJLJU^ H [aringNP^~ZjY H QcY H MeJUacuteYYZOslash[B[ H MQcO[timesKNihNSZOslashJ H JLhb^5OregXqNPb H e H MeJ X [W ethb MNPY H MeJiexclKhZ[PKEgraveJLh H QRJUYNtilde[SXYYZOslash[B[ H MQcOF[IacutecentEgraveJUbLNPjYJOtildeQ H ZOslash[UPJUYH MeJUacutebLjehYUPJUacuteQcO H MeJUacute^QRhZJUb H QR[]O [SX9Q H YfRJUOF[ H MregXqjOb H QR[]ONPfQa G Qs^^QBQeJ H NPfd^VeOfhShS]j^^ ^~IacuteEacuteltEgraveETHOgraveNtildeltOacute=KIgravefrac34Eacute10frac34ETH9Igrave Ntilde8182ETHEacuteshyOacuteNtildeshyEumlETHIgraveFEgraveOIacute5Icirc5O[Ph^JLh H [7JU~NPfcjN H J H MeJ QZOslashKEgrave[Ph H NPObnJ`[SX H MeJ`NP^^Q H QR[]ONPf H JLhlZaringYX[Ph H MeJYJ[]ZaringJUO H N H QR[]OeuWNtildeJpoundZaringN`PJ H MJeumlNPb H QUPJbn[]O H []jehaJUP[]fVUPJ H MehZ[]j[]M H MJ iexcla2SjeQsObLfcj^QsO[ H MeJaumlNP^^Q H QR[]ONPf H JLhlZaringY^ q O H MeJUacute[ H MeJLhMNPO^OeWNtildeJaumlNPfcYZ[ZaringN`PJQ H JUP[]fUPJfrac34WQ H M H MeJwXiacute[]fcfR[WQcO[ WhZ[]OF[JUP[]fcj H QR[]OJjN H Qc[]O H MN H ^e[JUY Oe[ HQcObLfcj^eJ H MeJaumlNP^^Q H QR[]ONPf H JLhlZaringYaringaelig Yacuteaagravejaelig agrave aacuteethntildeaLu centtimesOslash j ntildeaLu centUgraveUcircUacuteUuml j`b Qeacute iuml a2Ogravemacr]jnot [Ph H MeJOtildeJkWKEgraveJLhQZOslashJUO H YeWFJ H N`PJntildeaOgravejOcircaacute ILK KafcediliexclOgravejWMQsbM[]QVUPJUYntilde raquo aOgravejaacutefdOafcedil]j(NPO^ H MeJgUiNPfcjeJOtilde[SX H MeJaumlKNihdNSZOslashJ H JLhEacutebaQcY(YJ HH [frac34f s ^OcirckBKEgraveJLhQCZOslashJUO H Y NihZJ KEgraveJLhYX[PhZOslashJU^ []O NYmWO H MJ H Qcb`QCZaringN[PJumlZaringNP^eJeumljeK [SXTNPO

Me[]Zaring[S[PJUOeJL[]jYYYBjNihZJ[SX9QcO H JUOYZQ H mwf s []O NIacutecentNPbl`[PhZ[]jO^ [SX9QcO H JUOYZQ H mtf s ^ []NPjYZYZQsNPOOe[]QcYJUacute[SXUiNihQcNPObnJ s QcY(NP^^eJU^ H [ H MQcY(YmWO H MJ H QcbOtildeQZaringN[PJS^MeJOtildeJUP[]fcj H QR[]Oa[SX H MeJTNPb H QVUPJtimesbn[]O H []jehUacute^ehQUPJUOcentmpounda2SjQcYu[]QVUPJUO`QcO not QV[^ WMQcfRJ H MeJ[]OeJ`[Pcent H NPQcOeJU^ jYZQcO[ a2Ogravemacr]j QcYordm[]QUPJUO QcO not QV[^ ^ J bLNPO hZJZaringNihY`H MN H WMeJUO H MeJoiexclQsObLfcj^eJUY H MJ NP^^Q H QR[]ONPf H JLhZaringYe H MJ YYBjNihZJ QcYgWFJUfcfYJ[]ZaringJUO H JU^acirca not QV[^ ^bjeuWMeJLhJUNPYWiexclMeJUO H MeJ |iexclD^e[BJUY Oe[ H QsObLfcj^eJ H MeJUYJNP^^Q H QR[]ONPf H JLhZaringYwWFJ7[Pcent H NPQcO N bLQRhbLfcJOacuteQcOY H JUNP^ [SX H MeJ7JkBKEgraveJUb H JU^YYBjNihZJa not QV[^ ^bj^MeJUYJhZJUYZjf H YNtildebLNPOcentEgraveJcentEgraveJ HH JLh(jO^eJLhY H [[W^WMQcfRJNPONPfmcurrenUQcOF[ H MeJiexclUPJUfR[WbLQ H mUPJUb H [PhYUacute[SXNtildeJUNPbMJUP[]fsj H QR[]O JjN H QR[]OO^ Jaringbn[]ZOslashKNihZJ H MeJ H WF[ JUP[]fcj H QR[]OYiexcl[SXH MeJlaquoUPJUfR[WbLQ H mwUPJUb H [PhYauml^jehQcO[ H MeJaeligKhZ[PKN[]N H Qc[]Oeuml[SX H MeJOslashbLjehYUPJwa2WiexclQ H Me[]j HH MeJcentEgrave[]jO^NihYmVcent-NPYJU^ H JLhlZb j^MeJ(JUP[]fcj H Qc[]OOslash[SX H MeJNSZOslashKfsQ H j^eJ[SX H MeJyacuteUPJUfR[Wb|VQ H mregUPJUb H [Ph[SXQ|iexcla2SjFQsY[]QUPJUO QcO not Q[aqYj^ ^ ^OecurrenJSe Xfrac34]eWMQsfRJ H MeJOtildeNSZOslashK-fcQ H j^eJ[SX H MeJUPJUfR[WbLQ H mwUPJUb H [PhOtilde[SX||iexclacirca2Ogravemacr]jiexclQcY []QUPJUO`QcO not QV[aqYj^ ^ ^OecurrenJSe Xfrac34]^ JOslashbLNPO[PcentYZJLhYUPJ H MN HaringH MeJUPJUfc[BbLQ H msup1WiexclQ H Me[]j HaeligH MeJNP^^Q H QR[]ONPf H JLhlZaringY QcYaeligNbn[]OY H NPO HWMJLhZJ [PcentUWQR[]jYfVm H MJaQZaringN[PJfrac34XJUN H jehJUY ^e[OacuteO[ H NiKKEgraveJUNih^ q O H MeJabn[]O H hNihYmH MeJaumlQCZaringN[PJordfXJUN H jhZJUYuWFJUfcfNiKKEgraveJUNihQcO H MeJordfUPJUfR[WbLQ H m QcObLfcj^QcOF[ H MeJaumlNP^^Q H QR[]ONPfH JLhlZ Yya not QV[aqYj^ ^ ^OecurrenJSe Xfrac34jiexclNPO^ Y[ H MeJaumlYljNihJTbLNPO centEgraveJordfWNtildeJUfsfYJ[]ZOslashJUO H JU^O^MeJyKhZJUWQR[]jYEgravehJUYZjf H YgYMe[W H MN H Q H QcY[SXeKhQCZOslashJ$OeJUbnJUYZYZQ H m H [ H N`PJQcO H [NPb|Vbn[]jO H0H MJNP^^Q H QR[]ONPf H JLhZaringYeWbn[]ZaringQcO[XhZ[]Z hZJ[]QR[]OeV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhYeQcO[Phd^eJLh H [ hZJUNPbdMaN H hdjeJgZaringQcOQCZIacutejFZ [SX H MeJaumlbnhQ H JLhdQR[]OO^

uumlnyacutenthornnyumll13YSordmY_F

S $amp)(+-)013021+345627893lt=gt9A6CBEIumlparaacuteAgravegtmicrosup1acuteIKJcedilJT2MgtI MraquoordfAEligMgtsup32MLwMKmicrobMgtAgraveacuteIshyacuteMgtPltAtilde iquest acuteAgraveKT13MKIshyAtildeAcirclaquocedilFAtildeacuteNicircMKIJfrac14ltacutepoundAEligMAringcedilFLT2cedilIltR]acuteHcedilJLTOcircfrac12sup3T13ROgravecedilJT2MgtI JMAgraverltcedilFR]acuteacuteJacuteR]JT2MgtIicircT2ItT2NQacuteM paraacutePshyacuteIltR]acuteAtildeMQcY0K-Nih H ^eJUNPfcYWQ H M H MeJOtildeYJ[]ZOslashJUO H N H QR[]O [SXMe[]ZOslash[S[PJUOeJL[]jY(hZJ[]QR[]OYQcOZtimesjfuVH QcYZK=JUb H hdNPfQZaringN[PJUY^ YNPOaJkWNSZaringKfRJSeWFJIacuteYZMe[W H MN HiexclH MeJTbn[UiNihQcNPObnJZaringN H hQVkbLNPOacent=JIacuteNUPJLhYm KEgrave[WFJLhYXqjf H [B[]f H [ YJ[]ZOslashJUO H Me[]Zaring[S[PJUOeJL[]jYbn[]fR[PhiexclhJ[]QR[]OY^F5OXqNPb H e H MeJtimes^eJ H JLhlZaringQsONPO H [SX H MeJTbn[U~NihQsNPObnJZ N H hQkKhZ[UPJUY H [ centEgraveJIacuteNaringhJUfRJU~NPO Hbn[]fR[PhaelighZJ[]Qc[]O7M[]ZOslash[S[PJUOeJUQ H msup1ZOslashJUNPYZjhZJZOslashJUO H a G NPO[SWQcOeJ NPO^r[PhdOeJSeufhShSi]j^_`QcOQZ QVcurrenUQcO[ H MQcYjNPO H Q H m ZOslashJUNPOY H MN H WFJwWNPO HH [^eJUbnhZJUNPYJ H MeJeumlbn[]ZaeligVKfcJkWQ H m[SXUacuteNeumlhZJ[]QR[]Oa hdNmJ H NPfd^Ve sSs fampN H JUjke sSsSs j^MQcY H [B[]fuZaringNmKhdNPb H QcbLNPfcfVm cent=JaumljYJU^X[Ph XiacuteNPbnJtimes^eJ H JUb H QR[]OaQsO QZaringN[PJaumlYJBjeJUObnJUY^macr^f^laquoIgraveIcirc=KEgrave(FETHOEacuteltEgraveIcircEcircgtNtildeltIcircIgrave8 EacuteshyOacute ETH9IgraveAgrave=Eacute3+NtildeshyEgrave13NtildeshyOacute=KIgravefrac34Iacute_NtildeFETHEgraveEcirc20EacuteshyEgrave=EacuteshyEumlEacuteshyEgrave2Iacute Ntilde4ltIgraveIcircMJQcO H JUOYZQ H mxXiacute[Ph bn[]fR[Ph QCZaringN[PJUYaringQcYOslashhJLKhZJUYJUO H JU^centm7NpoundXiacutejOb H QR[]OOtildeegravearingOumlOtilde 13ordfcent ntilde Otilde 13 WMeJLhZJ Otilde aacute Otilde szligYOtildeOgravecentszligYOtilde13ordf ^iexclXm NPONPfR[S[SmAumlWQ H M H MeJOacuteY H j^Fm Xiacute[Ph[PhZJmWYZbLNPfRJFQZaringN[PJUYeWNtildeJZaringQcOQCZaringQVcurrenLJ H MeJNtilde^J H JLhlZaringQcONPO H [SX H MeJFbn[UiNihQcNPObnJcopyZaringN H hQVk[SX H MeJTbn[]OYQc^eJLhZJU^hZJ[]Qc[]OY^ J5ZaringNmaringNPYYZjFZOslashJ H MN H JUNPbdM bn[]fR[PhFhZJ[]QR[]Oacute13 QsYOcircZOslash[W^eJUfcfRJU^OslashcentmOslashNg[]NPjYYZQcNPO^QsY H hQRcentj H QR[]Oeuml[SXyacuteZOslashJUNPOiexclSegraveaacute S szligPS cent szligPS NPO^7bn[UiNihQcNPObnJZ N H hQk5^MeJKh[PcentNicentQcfcQ H maring^eJUOYQ H moXiacutejOb H QR[]O QcYu[]QUPJUO centm H MeJgXiacute[]fcfR[WQcO[aeligJkWKhZJUYZYQR[]OOaring

$ampamp aOtildejOcircaacute fa )( j +cent aq^J H ayacutejj cent JkWK- f aOtilde Sltj thorn aOtilde Sltj a2Ograve]jG [eZaringQcOQZaringQVcurrenUQcOF[ H MJbn[U~NihdQcNPObnJuZaringN H hQktimes^eJ H JLhlZaringQcONPO H [SX-NPOtimesJUP[]fVUWQcO[hJ[]QR[]ONiKKEgraveJUNihY H [OslashcentEgraveJNtimeshZJUfcJU~NPO HH [[]f H [ordmZaringN`PJ H MQcYFhZJ[]Qc[]O bn[]OUPJLhY[PJ H [WFNih^Y H MeJbLfR[]YZJUY H Me[]ZOslash[S[PJUOeJL[]jYbn[]fR[PhiexclhZJ[]QR[]OO^9J H jY$Oe[ H J timesOslash NPO^0copyUgraveUcircUacuteUuml H MJbn[UiNihQcNPObnJ5ZaringN H hQcbnJUYy[SX=hJUYKEgraveJUb H QVUPJUfVmordmOuml timesOslash aagravejNPO^tOuml UgraveUacuteUuml aagravejaring

atilde aacute213 u Patilde u centatilde u atildeu cent atilde u centcentatilde u cent4atildeu5 atilde u5centatilde u54atilde67 a2zSj

WMJLhZJSaringEFFG FFH u times aumlatilde aacute iacutefaring w aring thorn yuml aOtilde times S times atilde jaOtilde auml S auml atilde j atilde aumlS times atilde aacute iacutefaring w aring thorn yuml Otilde times a2atildeltszligaumlj atilde auml WQ H M aacuteiVIgraveOacute[Ph Kf5

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ J [PcentUWQR[]jYZfm`MNUPJacuteu times aumlatilde aacuteu auml timesatilde ^shy9J H jYaumlO[ H J ^eJ H a atilde j H MJ ^eJ H JLhlZaringQsONPO H [SXH MeJaumlbn[U~NihdQcNPObnJZ N H hQkWiexclMQcbMJkBKhJUYZYZQR[]O QcY H MJgX[]fsfR[WQsO[aring

^eJ H a atilde jumlaacute u Patilde u centcentatilde u 4atilde u centatilde u atilde u cent4atilde u Patilde u cent4atilde u cent4atilde u centcentatilde u atilde u atilde u 4atilde u centatilde u centatilde a2Ogravei]jnot jOb H QR[]OY [SX H MeJeumlbn[UiNihQcNPObnJpoundZaringN H hQk ^eJ H JLhZaringQcONPO H YNihZJ jYJU^ NPY hJ[]QR[]O^eJUYbnhQRK H [PhY^ JIacutebMe[B[]YJ H MJordfX[]fcfc[WQcOF[aeligYZJ H [SX$^eJUYZbnhQRK H [PhYaringEFG FH uuml thorn UgraveUcircUacuteUuml yuml aacute98ordfaq^eJ H acopyUgraveUcircUacuteUumlAjjuuml thorn timesOslash yuml aacute98ordfaq^eJ H a timesOslash jjuuml thorn otilde)yuml aacuteOslashb a2Ograveh]jWMJLhZJ8ordfaOgravejFQcYNOslashKEgrave[]YZQ H QVUPJiexclXiacutejOb H QR[]O [SXampbLfcNPYZYograve aOtilde 13yjFNPO^Cb`NOslashKEgrave[]YZQ H QVUPJOtildebn[]OWVY H NPO H ^gJ H jYNtildeOe[W WhQ H J H MeJJUP[]fcj H Qc[]OaringJBjN H QR[]O [SX H MeJiexclNPb H QUPJbn[]O H []jehcentmbn[]ZOslashK-j H QcO[ H MJIacute^QEgraveJLhZJUO HH JLhlZaringYiexcl[SX_a j^J H NPQcfcYiexcl[SX H MeJIacutebn[]ZaringKj H N H QR[]O bLNPOcentEgraveJgXiacute[]jO^QsOaNiKKEgraveJUO^QVk X5^gtMJaumlJUP[]fcj H QR[]O`JBjN H QR[]O[SX H MJIacuteNPb H QVUPJaeligbn[]O H []jhQcY H MJgX[]fsfR[WQsO[aringaelig Yacuteaagravejaelig agrave aacute8gaq^eJ H atimesOslashjj 8ordfaq^eJ H a UgraveUcircUacuteUuml jj`b admacr s jlt8Icircraquodaq^eJ H a times Oslash jgt= ccedil A B egrave aOtilde S timesOslash jaOtilde B5 S BtimesOslash jB^eJ H aDC EBtimesOslash ja fj BGFH amp^eJ H atimesOslashj48 raquo aq^eJ H atimesOslashjj 8Icircraquodaq^eJ H a UgraveUacuteUuml jgt= ccedil I B egrave aOtilde Eacute S UgraveUcircUacuteUuml jaOtilde B S BUgraveUcircUacuteUuml jB^eJ H aDC JBUgraveUacuteUuml ja fj BKFH amp^eJ H a UgraveUcircUacuteUuml j48 raquo aq^eJ H a UgraveUcircUacuteUuml jjcedil13eacuteMJZaringN H hdQkLC JBatilde QsY ^JU^jbnJU^icircXh[]Z H MJeumlbn[U~NihdQcNPObnJbZaringN H hdQkM atilde centm YZjeKeVKhJUYZYZQcO[ H MeJ uuml UumlON hZ[WENPO^ H MeJ I UumlON bn[]fcjFZaringO^MeJeumlfcNPY H Xiacute[]jeh fsQcOeJUY [SX H MeJJBjN H QR[]ONihZJ H MeJOtildeNP^^Q H QR[]ONPf H JLhZaringY(bn[]ZaringQcO[XiacutehZ[]Z H MeJiexclU~NihQsN H QR[]O [SX H MeJOtilde^eJnVYZbnhdQRK H [PhYWiexclQ H Mordmagrave^ Y0Q H MNPYycentEgraveJLJUOOslashKhJUBQR[]jYZfVmTKhZ[UPJU^X[Ph[PhZJmWYZbLNPfRJiexclQCZaringN[PJUYeH MeJUYZJ H JLhlZaringYMNUPJ H [ cent=Jaumlbn[]OYZQc^eJLhZJU^ QsO[Ph^eJLh H [regZ N`PJ H MeJTNPb H QUPJTbn[]O H []jhbn[]OUPJLhY[PJ H [WFNihd^YNZ QcOQZtimesjFZ [SX H MJTbnhQ H JLhQc[]OO^macr^ ^~THORNUgrave2FIgraveFEgrave2Iacute_IgraveFOacuteshyETHOgraveNtildeshyEumlEgraveOIgraveIcircdEumlETHOIcircnot [Ph H MJ JkWKEgraveJLhQZOslashJUO H YeQWNtildeJ H N`PJCntildea]jordmaacute ILK Kaf[]jgWMQsbMsup1[]QVUPJUYnntilde raquo aOgravejaacutefdOafWOgravej(NPO^8ordfaOgravejaacute ILK KafIcirch cent juWMQcbdMt[]QVUPJUY8 raquo aOgravejaacute ETHOafIcirch cent j^ JbdMe[[]YZJ bbaacute f s ^QMeJaringbn[]fR[PhtimesYKNPbnJ YJUfcJUb H JU^QcYaQPszlig l szligicirclaquojeltWMeJLhZJwaOtilde aacuteRPordmjhZJLKhZJUYJUO H Y H MeJfsjFZaringQcONPObnJNPO^waOtildeOgravecent5aacute l j$NPO^frac34aOtildeS aacuteOslashicircj$hZJLKhZJUYJUO HyH MeJ H WF[bdMehZ[]ZaringQcONPObnJUY^ not [Ph H MeJbn[]ZaringKj H N H QR[]OOslash[SX H MeJuUiNihQcNPObnJSei[]Ofm H MeJfcjZaringQcONPObnJQcY(jYJU^O^

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CB5Oaring[Phd^eJLh H [aeligYJ[]ZOslashJUO H NPO Me[]ZOslash[S[PJUOJL[]jY0hJ[]QR[]OOeOgraveWFJiexclY H Nih H WQ H M NPO QcOQ H QcNPf

bLjehlUPJ0QcOYZQs^eJ H MJ0hZJ[]QR[]Oauml[SXWQsO H JLhZJUY H ^MeJybLjhYUPJ0QcY H MJUOTYZjeKK=[]YZJU^ H [JkWKNPO^jO H Qcf(Q H hJUNPbMeJUY H MeJ centEgrave[]jO^NihlmOacute[SX H MeJabn[]ObnJLhdOeJU^ Me[]Zaring[S[PJUOeJL[]jYaringhJ[]QR[]OO^MJtimesbLjehlUPJtimes^e[BJUYUacuteOe[ H [P[cent=JmP[]O^ H MJUYJaeligcent=[]jO^NihQRJUYiexclYZQcObnJSe=[UPJLh H MeJLhZJSe H MeJbnhQ H JLhQR[]OOacuteQsObnhZJUNPYJUYtimescentEgraveJUbLNPjYJ H MeJU~NihdQcNPObnJOcircu centtimesOslash [Ph H MeJ bn[U~NihdQcNPObnJtZaringN H hQVk^eJ H JLhZaringQcONPO H ^eJ H atimesOslashjUcirccentOtildeQsObnhZJUNPYJS^MeJaringNPfV[P[PhQ H MZEcentNPYJU^[]O H MeJ bn[UiNihQcNPObnJZaringN H hQVkeumlQcYaumlK=JLhlX[PhlZaringJU^euml[]ONPOQZ N[PJ [SX H MeJUBQs^eJL[`YJBjeJUObnJrnN`WQVmP[]peumlQcO[Ph^JLh H [euml^eJ H JUb HaeligH MeJYKEgraveJUN`PJLhUTYXqNPbnJS^gtMJaumlJUP[]fcj H QR[]O[SX H MJIacutebLjehYUPJIacuteQcYu[]QVUPJUO QcO not QV[^ macr^gtMeJTbn[]O H []jehiexclJUP[]fUPJUYH [ONPfcfVmbn[]OUPJLhY[PJaelig[]O H MeJIacutecent=[]jO^NihQRJUY[SX H MJyXqNPbnJa not QV[^ macr^bj^OMeJyXiacuteNPbnJaeligQcYH MeJUONPbLbLjehdN H JUfVm YZJ[]ZOslashJUO H JU^^FMeJUacuteNSZOslashKfcQ H j^eJ[SX H MeJiexclUPJUfR[BbLQ H m QsYFNPfsY[laquo[]QVUPJUOQcO not QV[aqYj^ macr^ ^OecurrenJSe Xfrac34jNPO^WNtildeJUacutebLNPO [PcentYJLhYUPJ H MN HFH MeJ5XiacuteNPbnJUacutehZJ[]QR[]O QcYUPJLhYmWFJUfcf^eJUfsQZaringQ H JU^regXhZ[]Z H MJ[ H MJLhhZJ[]QR[]OY^MJ5UPJUfc[BbLQ H m[]QUPJUO QcO not QV[aqYj^ macr^ ^OecurrenJSe XQcObLfcj^eJUY H MeJNP^^Q H Qc[]ONPf H JLhlZaringYFbn[]ZaringQcOF[yXiacutehZ[]Z H MeJ5UiNihQcN H QR[]O [SX H MeJiexcl^eJUYbnhQRKeVH [PhY5WQ H Magrave`centj H ^e[BJUYOtildeOe[ H QcObLfcj^eJ H MeJaeligcentEgrave[]jO^NihlmVcentNPYZJU^ H JLhlZ WMQcbMeumlQcYUacuteNYYZaring[[ H MQsO[ H JLhlZ^KMeJtimesNSZOslashKfcQ H j^eJOtilde[SX H MeJyUPJUfc[BbLQ H maQcYiexclOe[PhlZaringNPfcQcurrenLJU^ centEgraveJ H WFJLJUOs NPO^ macrSmacre$YZjbdM H MN HTH MeJ OeJ[]N H QVUPJoU~NPfcjJUYIacuteNihZJ fR[WFJLh H MNPO f i`NPO^ H MeJKEgrave[]YZQ H QUPJ[]OJUYNihZJTMQ[]MeJLh H MNPOpoundf i^ J bLNPObn[]ZaringKNihZJ H MJ QcOQ H QsNPfUPJUfR[BbLQ H m[Pcent H NPQcOJU^jYZQcOF[ H MeJ bn[U~NihQsNPObnJZaringN H hdQk admacr s juWQ H M H MeJOtilde[]OeJOtilde[Pcent H NPQcOeJU^jYQcO[ H MeJordfUiNihQcNPObnJrega2Sj^KMeJordfXqNPbnJTQcYOe[ H WNtildeJUfsf9^eJ H JUb H JU^QcO H MeJUPJUfR[BbLQ H m[Pcent H NPQsOeJU^ajYQcO[ H MeJUiNihQcNPObnJa not Q[^ ^bjWMJLhZJUNPYIacuteQ H QcYIacutehZJUNPfcfmumlWNtildeJUfcfF^eJ H JUb H JU^QsO H MeJQcOQ H QcNPfUPJUfR[WbLQ H m7jYZQcOF[ H MeJbn[iVUiNihQcNPObnJpoundZ N H hQk a not QV[^ ^currencentj^_MeJ UPJUfR[WbLQ H m [Pcent H NPQcOeJU^ jYZQsO[ H MeJumlU~NihdQcNPObnJ^e[BJUYOe[ H NPfsfR[W NPOJltz bLQRJUO H YJ[]ZOslashJUO H N H QR[]O`[SX H MeJyXiacuteNPbnJauml[]O H MeJaumlbn[]O H hNihYm H [H MeJIacutebn[UiNihQcNPObnJlaquoZaringN H hQk^eJ H JLhZaringQcONPO H WMQsbM H N`PJUYUacuteNP^UiNPO H N[PJaelig[SX H MeJtimesbn[]fR[PhQcOFX[PhlZ N H QR[]OO^macr^ ^WVFEumlETH=gtNtildeFETH32EacuteltOacuterETHEacute`0Ntilde=KIgravek8ltIgraveFETHIgrave5=KETH32EacuteltOacute~2Oacute+(8ltIgraveEacute IcircIgrave5euml1IgraveFOacute=KIgraveIcircMJa^eJUYZbnhQcK H [PhYOslashcentNPYZJU^[]O H MJ`bn[UiNihQcNPObnJZaringN H hdQkNihJ`QZOslashK-fRJZOslashJUO H JU^ H [^eJ H JUb H MBjFZaringNPO XqNPbnJUYQcO UWQc^eJL[OacuteYJBjeJUObnJUY^MQsYaring^eJ H JUb H QR[]OegraveZaringNm cent=J`jYJU^Xiacute[PhtUWQc^eJL[ bn[B^QcO[ H [JUObn[W^eJYJUfcJUb H QVUPJUfVm H MeJOacuteMBjFZaringNPOegraveXqNPbnJS^ not [Ph`N []QVUPJUObn[]ZOslashKhZJUYZYZQR[]OOacutehN H QR[e H MeJoXiacuteNPbnJbLNPO7cent=J H hNPOYYZ Q HH JU^bWiexclQ H MN MQV[]MJLhThN H J H [H MeJ^eJ H hdQZOslashJUO H [SX H MeJcentNPbl`[Ph[]jO^O^uMQsY QsO H JLhZJUY H QcO[KhZ[PKEgraveJLh H m QcYUiNPfcjWVNicentfcJuX[PhUBQc^JL[Bbn[]OXiacuteJLhZJUObnJUYe]WMeJLhZJ H MeJ ZOslash[]Y H QZOslashKEgrave[Ph H NPO H NPO^regZOslash[]Y H U~NihdQcNicentfRJQcOFX[PhlZ N H QR[]OQcYfR[WbLN H JU^ []O H MJordfXiacuteNPbnJaq 5ZOslash[]Oe[]j`NPO^tUacutejMNSZaringJUfde sSsSs j^ J QcOQ H QcNPfcQVcurrenLJ H MJhdY H XiacutehNSZOslashJoWQ H M7N`bLQchbLfRJ QsOYZQc^eJ H MeJXqNPbnJ H [ H hNPbY`K^MJUOOeyacuteWFJsup1ZaringN`PJ H MeJNPb H QVUPJ7bn[]O H []jeheumlJUP[]fVUPJjYZQcOF[admacr s jeiexclWQ H MX8ordfaOgravejxaacuteILK KafUgravemiddot cent j^ltMeJregONPfybn[]O H []jehtimes[SX H MeJ bLjehZhJUO H QZaringN[PJ QcY H MeJUOOacutebdMe[]YJUO7NPYNPO QcOQ H QcNPfbLjhYUPJordfX[Ph H MJUacuteOJk H QZaringN[PJS^FMeJOtildeNPfV[P[PhQ H MFZMNPYcentEgraveJLJUOKEgraveJLhYXiacute[PhlZOslashJU^[]OYJUPJLhdNPf$YJjJUObnJUY^MeJaelighZJUYjf H Y5X[Ph H MJaeligYZJjeJUObnJpoundn5JLhQV`p NihJordm[]QVUPJUOQcOnot QV[^ethz^shyMeJaringKNihNSZaringJ H hZJ bMNPYaumlcentEgraveJLJUOYZJ HaumlH [sup1f s ^QMeJordmXqNPbnJ QcYordfWFJUfcfy^J H JUb H JU^NPO^ H hNPbY`PJU^times[]O H MJ|WMe[]fcJyYJjJUObnJS^MJyhZJUYZjf H YOX[Ph H MeJNtildeYZJjeJUObnJnN`WQVmP[]p

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ macrNihZJy[]QVUPJUO`QsO not QV[^ i^ JaeligbMe[B[]YJbaacute s ^ JtimesbLNPO`YJLJ H MN HH MeJXiacuteNPbnJaeligQcYuWFJUfcf^eJ H JUb H JU^aJUPJUOaQVX H MeJaumlbn[]fR[Phiexcl[SXMJLhYZMQRh H QsY(bLfR[]YJ H [ H MJgXiacuteNPbnJIacutebn[]fR[Ph^

YOEAEligMgtIltROgravesup3PshyAtildeT13MKI5O H MQcYKNiKEgraveJLheuWNtildeJKhZ[PKEgrave[]YJN OeJW 0jfRJLhQcNPOAumlZaringQsOQZaringQVcurrenUN H Qc[]OAumlZOslashJ H Me[W^ H [bn[]ZOslashK-j H J H MJUPJUfR[WbLQ H mpoundUPJUb H [Pharing[SXNPONPb H QVUPJ bn[]O H []jeh H MN H JUOYZjehZJUYtimesQ H WQcfcfJUP[]fVUPJ NPYordfXiacuteNPY H NPYOtildeKEgrave[]YZYZQRcentfcJ H [WNih^YIacuteNZaringQcOQCZIacutejFZ [SXN bnhQ H JLhQR[]OeumlQcObLfcj^QcOF[centEgrave[ H MUacutehZJ[]QR[]OeVcentNPYJU^TNPO^OtildecentEgrave[]jO^NihYmVcentNPYJU^ H JLhlZ Y^ q jehgNiKKhZ[]NPbMIacuteQcYcentNPYZJU^Otilde[]OYZMNiK=J[PK H QZaringQVcurrenUN H Qc[]OOslashKhQcObLQRKfRJUY$NPO^ QcYyKEgraveJLhYXiacute[PhlZOslashJU^ QcO H MehZJLJ5ZaringNPQcO Y H JLKYaringf^ltO H hZ[W^jb H QR[]O[SX$NOslash^mWONSZaringQcbLNPfYbMeJZOslashJIacuteQcO H MeJTbnhQ H JLhQR[]OOe ^vF[]ZOslashKj H N H Qc[]Oaelig[SX H MeJ_0jfRJLhdQcNPOaelig^eJLhQVUiN H QVUPJ[SX H MJbnhQ H JLhQR[]OOslashjYZQcO[OtildeYZMNiKEgraveJ

[PK H QZaringQVcurrenUN H Qc[]O H [[]fcYe^vF[]ZOslashKj H N H Qc[]Oa[SX H MeJtimesJUP[]fcj H Qc[]OaJBjN H QR[]O`[SX H MeJaeligNPb H QVUPJtimesbn[]O H []jehiexclXiacutehZ[]ZH MeJT^eJLhQU~N H QVUPJS^

iexcl Ntilde _ cent G NPfcfR[WY H [hJUNP^QcfVm H N`PJNtildeQcO H [NPbLbn[]jO H9H MeJybLNPYJ0[SXBhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H^eJUYbnhQRK H [PhY H MN H NihZJo[]fR[PcentNPfcfVmN HH NPbdMeJU^ H [ H MeJ JUP[]fVUWQcO[ hZJ[]QR[]OYtimesNPO^Y[H MN H UiNihYm^jehQsO[ H MJaumlKhZ[PKN[]N H Qc[]O [SX H MJaumlbLjehYUPJS^ JTYMe[W H MN HH MeJgUiNihQuVN H QR[]O [SX H MeJUYJ^JUYZbnhQRK H [PhdY QsO^jbnJUYNP^^Q H QR[]ONPf H JLhlZaringYQcO H MeJeumlJUP[]fcj H QR[]OJBjN H QR[]Oeuml[SX H MeJaringNPb H QVUPJ bn[]O H []jeh^MJUYJ H JLhlZaringYgZtimesjY H Oe[ H centEgraveJlaquoX[Phl[P[ HH JUOQcO[Ph^JLh H [ hZJUNPbMeumlN H hjeJZ QcOQZtimesjFZ[SX H MeJtimesbnhQ H JLhQc[]OaNPYUacuteQ H MNPYcentEgraveJLJUOKEgrave[]QcO H JU^[]j H QsOJkBKEgraveJLhQZaringJUO H NPfEgravehZJUYjf H Y^

Yfrac34XiacuteNiheumlNPYeumlMe[]ZOslash[S[PJUOeJL[]jYeumlbn[]fR[PheumlhZJ[]Qc[]OY`YZJ[]ZOslashJUO H N H Qc[]OQsY`bn[]ObnJLhdOeJU^OeWFJKhZ[PKEgrave[]YJ H MeJ`bn[U~NihQsNPObnJfrac34ZaringN H hdQk^eJ H JLhlZaringQcONPO H NPY N^eJUYbnhQRK H [Ph^MQcYY H N H QsY H QcbLNPfhZJ[]QR[]OeV4^eJLKEgraveJUO^eJUO H ^JUYZbnhQRK H [PharingNiKK=JUNihdY H [centEgraveJN UPJLhlm7hJUfRJU~NPO HH [B[]fampNPO^eumlY[ Q H MNPYUacutecent=JLJUOeumlYZjbLbnJUYZYXqjfcfVm NiKKfsQRJU^ H [XqNPbnJaring^eJ H JUb H QR[]OQcOfrac34UWQc^eJL[YJBjeJUObnJUY^

iquest acuteraquoacuteLacuteIltR]acuteAtildeagraveIgravefrac14dEcircsup1Atilde5AringiquestLmiddotNtildeIumliquestUumlgIumlUTHORNampAtildeEacutecedilAtilde5AringAcircnAtilde|iquestaacuteIacuteIumlIZEgravefrac14Zcedilfrac12frac14dAringiEcirc]iquestfrac14draquoiEcirc[NtildeIumlagraveAringEacutePAtildecedilwAacute4] uacute_^J^J^ iquest)` igraveraquoLCcedilfrac14cedil4Ecircfrac14draquo~Ecirc(Auml|AringAacuteCcedilfrac14Zcedil4Ecirc

Agrave5AringcedilAcircnAtilde$AtildeAcircnAuml|frac12AringAacutesup1AumldraquoTAringAEligwsup1raquo~ordm(frac12Atilde5AcircnAtilde5frac12AEligwAtildeAacuteampIgrave(Atilde AacuteIcirc~AumlUEcircSaIumligraveraquo13] x4~rv p4PldrRtcoPl|Egraveod5v pv i4vodaumlx4shyl not vsectpqo v tu not Iumlcb$Auml|EacutePAtilde|iquestednfrac14Oumlifrac14draquoIuml

agraveIgrave(Aumldraquo~Auml|Aringiquest~igrave4IumlPfrac14raquoiEcircfWIumliTHORNampAringIcircifrac14Igrave(Atilde5frac12G] divideugrave|ugrave|ugrave iquest` igraveAacuteAtildecedil4frac14ZAacutesup1Acirc|AtildeNtildeEacute~frac14dAgrave4UgraveUCcedilEgravefrac14cedil4EcircUacuteAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoUacuteOgraveregAumldcedilIcirc~sup1Atildecedil4frac14cedilAgrave4Icirc~sup1currenEumlAgravefrac14dfrac12=CcedilEgravefrac14AcircnAtilde5frac12AtildeAacutesup1Igravefrac14ordm|AtildeAgrave5AumlUEcircsup1raquo~ordmIaIumlaeligigraveiacuteraquoS] x4rv p ildrRtcodil|ampod5v pv P4vOtildeodOslashx4shy(l not vFsectpqo v tu not Iumlg frac14raquo~Agrave5AumldAring~AcircnAtildecediliquestehEgravefrac14raquoifrac14|Ecircfrac14Iuml

agraveAringEacutePAtildecedilwAacuteiquest[NtildeIumlWfrac14raquoiEcircifWIuml13b$Aumldcedilraquo~OumlcedilAuml|EacuteAEligqAacute4] divideugrave|ugraveuacute iquestkj ldrregv shy(ldrRtcl|ipwonm5v shyNtildetuOslashtushyl not vampipwo4v tu not sect9ldp4rRtcl|Egravedt lv pv ~rRtRl|9vDm~lrRtcod~ldiTrreg~vUacutel| Uiexcloqnldp4tcldrRtRod~ iquestpoAumlIuml uacute_qEr IumlOslashagrave9Ouml~Oumlfrac12sup1AtildeEcircaacuteUacutefrac14AacuteIcirc~AtildeIgravefrac14Aacutesup1Agravefrac14dfrac12BatildeAgravesup1Atilderaquo~Agrave5Atilde5AElig5iquestPatildeOumlcedilsup1raquoordm|Atildecedil g Atildecedilfrac12frac14dordmIumlhEgravefrac14dAEligwAtilde5frac12frac12Atilde5AElig5iquest g Iumliquest~szlig0Iumleb$sup1Igrave(Igrave(Atilde5frac12Riquestifrac14raquoiEcirc[NtildeIumlatildefrac14dOumlsup1cedilAumlI] uacute_^J^Er iquest`s[Atilde5AumlUEcircAtilde5AEligwsup1AgraveFfrac14dAgraveAacutesup1AcircnAtildeyAgrave5AumldraquoUAacuteAumldAringcedilAElig_aIuml x4~rv p4PldrRtcodPldpoundUodUp4Pl|WoqodshyiUrv paumlumltutcodutet13v uacute+w iquestex uacuteyIrz^ Iuml

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CBh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34LiquestBagraveyIumlWfrac14raquoiEcircidIumlBTHORNampAringraquo~Agravefrac14raquo13] uacute4^z^J^ iquest`[ampfrac14Igrave(AtildeEumlcAacuteIcirc~Atilde5AumlcedilAtildeAacutesup1Agrave(sup1raquoUAacuteAtildeordmdcedil4frac14Aacutesup1AumldraquoaeligOgraveuAumldcedil0sup1Igravefrac14dordmdAtildeAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIuml xQ|||~pwl~ lnrRtcodNtildeodiexclsect9lrRrv p auml9Pl| ~tuyldi j l|4Utu]vx4~rvreg t not v P4v Iumlh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34Liquestgagrave0IumliquestIumlgatildeUAacute4frac14dsup1Eacuteiquest9frac14draquoiEcircdIuml9THORNampAringraquo~Agravefrac14raquo13] uacute_^J^ xiquest` THORNampAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeIacuteEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34iraquo~Ecircsup1raquo~ordmsup1raquoIgrave(AtildeEcircsup1Agravefrac14frac12iexclsup1Igravefrac14ordm|Atilde5AEligaringEacuteLfrac34Oacutesup1raquoLAacuteAtilde5ordmcedil4frac14Aacutesup1raquo~ordm ordmdcedil4frac14|Ecircsup1Atilde5raquoLAacute frac14raquoiEcirccedilAtilde5ordm|sup1Auml|raquo sup1raquoOgraveuAumldcedilIgravefrac14ZAacutesup1Auml|raquo13aIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu notI iquesteE ^4y rdugrave Iumlh=Icircifrac14raquoiquestBETHIumlWfrac14raquoiEcircIuml g Atilde5AEligwAtildeJ] dividedugravedugraveuacute iquest` agraveAgraveAacutesup1AcircnAtildeFAgrave5Auml|raquoLAacuteAuml|AringcedilAElig$Ccedilgsup1AacuteIcircAuml|AringAacuteNtildeAtilde5Ecircordm|AtildeAElig_aIuml xQ||k|~pwld lnrRtcododUacutex4shy(l not v9sectpqo4v 4tu notuU v divideJw iquest divide xJx ydividezrJr Iumlh=Icirc~Atilde5AEligwraquo~frac14dAring~EcirciquesthIumliquestfWIuml=szligAtildeOgraveYacutecedilIAtilde5ordm|sup1Atildecediliquestfrac14draquoiEcirc g Iuml5Z=AumldAring~frac12AtildeAacute4] uacute_^J^z^ iquest`currenatildeUAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12cedilAtilde5ordmdsup1AumldraquoAEligwraquoifrac14dUgrave|AtildeEumlsEacuteifrac14dAEligwAtilde5EcircAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquofrac14|Ecircfrac14dOumlAacuteAtilde5EcircFAacuteAumlyEcircsup1s]AtildecedilAtilde5raquoLAacute-Ouml~IcircLfrac34AEligwsup1Agrave5frac14dfrac12~raquoAuml|sup1AEligwAtilde9Igrave(AumlUEcircAtilde5frac12AElig_aIuml xQ||k|~pqld~ lnrRtco~$osect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4vt iquest uacute|uacute_q y~uacute|uacute xIumlh=Auml|IcircAtilde5raquoiquestIuml] uacute4^z^uacute iquest`currenmiddotraquofrac14dAgrave Aacutesup1Acirc|Atilde Agrave5AumldraquoLAacuteAuml|AringcedilIacuteIgrave(AumlUEcircAtildefrac12AEligtimesfrac14draquo~EcirceumlEacuteifrac14dfrac12frac12AumlLAuml|raquoAElig_aIuml odshyiUrv pumltutcod pwl Utc0ldix4shyl not vsectEgravepwo4v tu not x4shyl not vOtildePnv p rsldidtu not) iquest divideUuacuteduacuteydivideLuacute UIumlh=Auml|IcircAtilde5raquoiquestSIumliquestUumlIuml13ZEgravefrac14cedil4Ecircsup1raquo~AtildeAacuteiquestfrac14raquoiEcircoNtildeIumlagrave9frac34Lfrac14dAgrave4Icirc~AtildeJ] uacute_^J^z iquest`atildeUAringcedilwOgraveufrac14dAgrave5Atilde0cedilAtilde5Agrave5Auml|raquoAEligqAacutewcedilAring~AgraveAacutesup1AumldraquotimesAring~AEligwsup1raquoordmfrac14AgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilaumlIgrave(AumlUEcircAtilde5frac12AElig_aIuml igraveiacuteraquoS] Lsect=xQ|od5v pv P4v od vwodshy(v rRp tc j v rregodtimestuodshyiUrv pumltutco Iuml~atildefrac14raquoUacuteTHORNampsup1Atilde5ordm|AumliquesthEgraveagraveyIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquestEgraveUumlIuml] dividedugrave|ugravedugrave iquest`currenatildeAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquo Ouml~frac14cedilAgrave5Auml|raquoLAacuteAuml|AringcedilAEligUacutefrac14AgraveAacutesup1currenOgraveuAEligUacuteAtilde5raquosup1Igravefrac14dordmdAtildecedilsup1AtildeIacuteIgraveAtilde5Ecircsup1Agravefrac14dfrac12AtildeIacuteEcircfrac34UEumlraquoifrac14dIgrave(sup1ecircLAring~Atilde]ampfrac14Ouml~Ouml~frac12sup1Agravefrac14ZAacutesup1AumldraquoAtilde5raquoeumlAgravefrac14Zcedil4Ecircsup1Auml|frac12Auml|ordmdsup1Atilde raquoUAring~Agravefrac12Atilde5frac14dsup1currencedilAtildeJaIumlfIcircIuml THORNFIumlAacuteIcirc~Atilde5AEligwsup1AElig5iquestraquo~sup1AcircnAtildecedilAEligwsup1currenAacutefrac34`AumlOgraveosup1Agrave5AtildeEumliacuteatildeAumldOuml~Icircsup1Yacutefrac14NtildeagraveraquoLAacutesup1OumlPAuml|frac12sup1AElig5iquestPeacutecedil4frac14raquo~Agrave5AtildedIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquest|UumlIumliquestUaacuteIacuteIumlEZEgravefrac14cedilfrac12frac14dAring~Ecirciquest[NtildeIumlLagraveAringEacutePAtildecedilwAacuteiquest|frac14draquoiEcirc dIumlnTHORN$frac14ZcedilAgrave5Auml|AringcedilwAacute4] divideugrave|ugraveUuacute iqueste`currenatildeOuml~frac14dAgrave5AtildeEgraveAacutesup1Igrave(AtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14EumlAacutesup1AumldraquoUacuteAring~AEligwsup1raquoordmfrac12Atilde5AcircnAtilde5frac12AEligwAtildeAacutefrac14dAgraveAacutesup1AcircnAtilde$AgraveAuml|raquoLAacuteAuml|AringcedilAEligfrac14Ouml~Ouml~frac12sup1AtildeEcirciexclAacuteAumlFIgraveNtildefrac34LAumlLAgravefrac14Zcedil4Ecircsup1frac14dfrac12ordmnfrac14ZAacuteAtildeEcircOtildeatildeIf-UumlkhEgraveETHaIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu not t v rJw iquest)x qJ+y xJ ^ Iuml

THORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquest13iexclNtildeIumlfrac14draquo~EcircdIumlWaacuteAuml|raquoLAacute4frac14ordm|raquoifrac14ZAacute4] divideugrave|ugraveUuacute iquest` ETHBAumldOumlPAuml|frac12Auml|ordmfrac34Oslashfrac14raquoiEcircIacuteAEligwIcirc~frac14dOumlPAtildeAgraveAuml|raquo~AEligqAacutewcedil4frac14sup1raquoUAacuteAEligyAumldraquotimesOumlifrac14Zcedil4frac14EumlIgrave(AtildeAacutewcedilsup1AgraveOslashfrac14dAgraveAacutesup1AcircnAtildearingAgrave5AumldraquoLAacuteAuml|AringcedilAElig_aIuml odshy~rv pumltutcodldP x4shy(l not vPLv p4rsldPtu notcent) v divideJw iquestuacute_qnugrave4yiuacute4rUuacute Iuml[Auml|Igrave(Atilde5AElig5iquestpounddIumlfrac14draquo~EcircaringmiddotNtildeIumleacuteifrac14Aring~ordm|Atilde cedil4frac14dAElig_] divideugrave|ugrave|ugrave iquestcurren` szlig9Atilde5Agrave5Aumldraquo~Agrave5sup1frac12sup1raquo~ordmIacuteEcircsup1AEligqAacute4frac14draquoAgrave5AtildeOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligfrac14draquo~Ecircaeligfrac12Atilde5AcircnAtilde5frac12EgraveAEligwAtilde AacuteAElig_aIumlpoundUodUp il|WoqUacuteumltul|-odshyNtildeshyFU~tR4lrRtcodTldix4shyl not vampgvipv v rsldrRtcod ) iquest dividedugravez^+ydivideddividez Iuml[cedil4frac145frac34LiquestszligyIumliquestdIumlyen-Auml|Aringraquo~ordmiquestampfrac14raquoiEcircagrave0Iumlampagravesup1currenfrac34LAtildecedil4] dividedugravedugraveuacute iquest `aacutesup1raquosup1IgraveNtildeAring~Igrave Ecircsup1AEligwAgrave cedilsup1Igrave(sup1raquo~frac14Aacutesup1Auml|raquosup1raquoOgraveregAumldcedilIgravefrac14Aacutesup1AumldraquoAgrave5frac12Aring~AEligqAacuteAtildecedilsup1raquo~ordmI]Igrave(AumlUEcircAtilde5frac12sup1raquo~ordmTfrac14raquoiEcircOslashecircLAringifrac14raquoUAacutesup1Ocircfrac14ZAacutesup1Auml|raquoOslashCcedilgsup1currenAacuteIcirc ordm|frac14dAringAEligwAEligIgrave(sup1currenicircAacuteAringcedilAtilde5AElig_aIumlTigraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquest=atildePIumliquest=aacuteIacuteIumlkZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestEgravefrac14raquoiEcirc[NtildeIuml=agrave9Aring~EacutePAtildecedilwAacute4] dividedugrave|ugraveUuacute frac14Uiquest` agrave EumliacuteatildeUAacuteAtilde5Ouml frac14dfrac12ordm|Aumlcedilsup1currenAacuteIcirc~IgraveAring~AEligwsup1raquoordmcedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtilde=Agrave5Auml|raquoLAacuteAuml|AringcedilAEligeOgraveuAumldcedilAcircUsup1EcircAtilde5AumlAuml|EacuteUbrvbarqAtilde5Agrave AacuteAElig=EcircAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoSaIuml~igraveraquo13]psect xw j x4 sect odpDumlqo odUacutex4shy(l not v9Pl| ~tu5op j rRtushyvwdtclNtildex4rv pwlnrRtKndvy]v pntc4v IumliETHWfrac14dIgrave(OumlPAtilde cedilAtilde|iquestieacuteWsup1raquofrac12Yacutefrac14raquoiEcirc]Iumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquestUatilde]IumliquestUaacuteIacuteIumlUZ=frac14cedilfrac12frac14dAring~EcirciquestUfrac14raquoiEcirccopy[NtildeIumlUagrave9Aring~EacutePAtildecedilwAacute4] dividedugravedugraveuacute EacuteiquestA` szlig9Atilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14AgraveAacutesup1AcircnAtildegAgrave5Auml|raquoLAacuteAumldAringcedilAEligOgraveuAumldcedilAcircUsup1YacuteEcircAtilde5AumlaringAuml|EacuteUbrvbarqAtilde5Agrave AacuteOtildeAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo Ccedilgsup1currenAacuteIcircaAgrave5frac14dIgrave(Atildecedil4frac14OslashAgrave5AumldIgrave(OumlPAtilde5raquo~AEligfrac14ZAacutesup1Aumldraquo13aIumligraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquesteatilde]IumliquestWaacuteIacuteIumlZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestefrac14draquo~Ecirc[NtildeIumlBagraveAring~EacutePAtilde cedilwAacute4] divideugrave|ugraveuacute Agrave|iquestk` g sup1EcircAtilde5AumlUacuteAuml|EacuteUbrvbarqAtildeAgraveAacuteFAEligwAtildeordm|Igrave(Atilde5raquoLAacute4frac14Aacutesup1AumldraquoAring~AEligwsup1raquo~ordmIacuteAtilde5Aring~frac12Atildecedilsup1frac14draquo cedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAElig_aIuml igraveiacuteraquoS] x4rv p ildrRtcodil|yodv pwv P4vIacuteoodshyiUrv paumlumltutcod Iuml g frac14draquoAgrave5Auml|AringAcircnAtildecediliquestehEgravefrac14draquo~frac14|Ecirc~frac14UIumlbyfrac14dAEligwAElig5iquesteaacuteIacuteIumliquestWagrave0Iuml Ucirc sup1currenAacuteUgravesup1raquoiquestWfrac14raquoiEcirctimesTHORNFIumlWETHBAtildecedilOcirc5AumldOumlPAuml|Aringfrac12AumldAElig_] uacute4^ JUiquestk`currenatilderaquoifrac14UgravenAtilde5AElig_]WagraveAgraveAacutesup1AcircnAtilde(Agrave5AumldraquoLAacuteAuml|Aringcedil0Igrave(AumlUEcircAtilde5frac12AElig_aIumlx4~rv p4PldrRtcoPl|WpoundUop4PldWoqodshyiUrv pTumltutcod iquest ndivideUuacuteyUzndivide Iuml

aacuteUacutefrac14dfrac12frac12frac14|Ecircsup1ciquest~szlig0IumliquestedIuml]atildeUAtildeAacuteIcirc~sup1frac14raquoiquest~frac14draquoiEcircZIuml g Atilde5IgraveNtildeAringcedilsup1G] uacute4^z^ UiquestS`atildeUIcircifrac14OumlPAtilde$Igrave(AumlUEcircAtilde5frac12sup1raquo~ordm0Ccedilgsup1AacuteIcirciexclOgraveregcedilAuml|raquoLAacuteOumlcedilAumldOumlifrac14dordm|frac14EumlAacutesup1Aumldraquo13]nfrac14ampfrac12AtildeAcircnAtilde5frac12AEligwAtildeAacuteEgravefrac14Ouml~OumlcedilAumlnfrac14dAgrave4Icirc13aIuml xQ|||~pwld lnrRtcodampodsectgldrRrv p 9Pl| ~tu9ldP j ln4Utreg]vx4~rvu t not v i4v Iordf iquest uacute z yiuacute+r UIuml

aacuteUacutefrac14draquoAEligwAuml|Aringcedilsup1Riquestagrave0Iumlfrac14draquo~EcircdIumlb$Auml|raquocedil4frac14|EcircS] uacute_^J^J^ iquestlaquo`currenaacuteAumldAacutesup1AumldraquoAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo`Ccedilgsup1currenAacuteIcirceumlfrac12Atilde5AcircnAtildefrac120AEligwAtilde AacuteAElig_aIuml igraveraquo13]x4~rv p4PldrRtcoPl|=ov pwv P4vNtildeodUacutex4shyl not vsectEgravepwo4v tu not Iumlcb$AumldEacutePAtilde|iquestednfrac14dOuml~frac14draquoIuml

aacuteAuml|raquoLAacute4frac14dordmdraquoifrac14ZAacuteiquestdIumliquestziexcl0IumlTHORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquestdfrac14draquo~EcircoNtildeIumlZagravegfrac34Ufrac14dAgrave4Icirc~AtildeJ] dividedugrave|ugraveUuacute iquest` agraveOslashcedilAtildeAcircsup1AtildeCcedilaeligAumldOgravePEcircAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeAEligwAringcedilwOgraveufrac14dAgrave5AtildeAElig_]AacuteAuml|OumlPAuml|frac12Aumldordmdfrac34Liquestgordm|AtildeAuml|Igrave(AtildeAacutewcedilwfrac34frac14draquoiEcirc EcircAtildeOgraveuAumlcedilIgravefrac14Aacutesup1Auml|raquoSaIuml x4shyl not vtimesldiOacuteumltutcododshy~rRtreg not0Inot v uacute_qw iquestuacuteugravendivide+y~uacuteugravezq|ugrave Iuml

aacuteAring~IgraveOgraveregAumldcedil4Ecirciquest=THORNFIumlgfrac14raquoiEcircdIumlatildeIcirc~frac14dIcircS] uacute4^ ^ iquest`currenmiddotOumlAacutesup1Igravefrac14frac12$frac14dOumlOumlcedilAumlicircsup1Igravefrac14Aacutesup1Auml|raquoAEligEacuteLfrac34Oumlsup1AtildeAgrave5AtildeCcedilgsup1AEligwAtildetimesAEligwIgrave(AumlLAumlAacuteIcircOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligFfrac14raquoiEcircOslashfrac14dAEligwAEligwAumlLAgravesup1Yacutefrac14ZAacuteAtildeEcircaringAcirc|frac14Zcedilsup1Yacutefrac14ZAacutesup1Auml|raquoifrac14frac12EgraveOumlcedilAumldEacute~frac12Atilde5Igrave(AElig_aIuml odshyNtildeshyFU~tR4lrRtcod~oaeligsectEgraveUpvUacuteldiEgraveni tsvw j ldrreg~v shy(lrRtccurrenshyt iquest rzr4y xJ q Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfa

yenKbrvbarsect =4 acirc $ zmiddotAEligwIcirc~AtildecediliquestdatildePIumlfrac14draquo~EcircdIumlnatildeAtilde AacuteIcirc~sup1frac14draquoS] uacute4^ ziquest` eacutecedilAuml|raquoLAacuteAEligeOumlcedilAumldOumlifrac14ordmnfrac14Aacutesup1raquoordmCcedilgsup1currenAacuteIcircFAgrave5AringcedilAcirc|frac14ZAacuteAringcedilAtildeEumlEcircAtilde5OumlPAtilde5raquoiEcircAtilde5raquoLAacuteBAEligwOumlPAtildeAtildeEcircS]

agravefrac12ordm|Aumlcedilsup1AacuteIcircIgrave(AEligEacute~frac14dAEligwAtildeEcircaumlAuml|raquoiexclampfrac14Igrave(sup1frac12AacuteAumldraquoEumldnfrac14Agrave5Auml|Eacutesup1eacute~AumldcedilIgraveNtildeAring~frac12frac14Aacutesup1Auml|raquoSaIuml poundUodUp4Pl|oqiexcloshyiUrsldrRtcoPl|sect=U~tc ordfenot iquest uacutedivide4yEqE^ Iumlfefrac14cedil4frac14ordm|sup1Auml|AElig5iquestoNtildeIumlfrac14draquo~EcircIacuteszligyIuml]THORNampAtildecedilsup1Agrave4Icirc~AtildeJ] uacute4^z^J^ iquest`s[Atilde5AumlUEcircAtildeAEligwsup1Agravefrac14AgraveAacutesup1AcircnAtildeFcedilAtilde5ordmdsup1Auml|raquo~AElig$OgraveregAumldcedil0Igrave(AumldAacutesup1Auml|raquoTAtilde5AEligqAacutesup1Igravefrac14Aacutesup1Aumldraquofrac14draquoiEcircAacutewcedil4frac14dAgrave4UgraveUsup1raquoordmAaIumligraveiacuteraquoS] x4rv p ildrRtcodil|-ov pwv P4vFodOslashodshyiUrv paumlumltutco Iumleh=AumldcedilwOgraveregAringgt[cedilAtilde5Atilde5Agrave5Atilde|Iumlfefrac14AacuteAtilde5Aringicirc]iquestatilde]Iuml] dividedugravedugrave|ugrave iquestpound`currenatildeOuml~frac14Aacutesup1frac14dfrac12AEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoTAumldOgrave=Agrave5Auml|frac12Aumlcedilysup1Igravefrac14ordm|Atilde5AEligampfrac14dAgrave5Agrave5Aumlcedil4Ecircsup1raquo~ordmAacuteAumlUacuteaacuteTHORNaringOgraveregAumldcedilIgravefrac14dfrac12currenEumlsup1AEligwIgraveaIumlyigraveraquo13] x4~rv p4PlrRtcodPld=od5v pv i vodododpFtu pwl4UtcldPx4shyl not vysectpqo v tu not Iumlatildefrac14dsup1raquoLAacute UumleAacutesup1Atilderaquo~raquo~Atildediquestieacutecedil4frac14raquo~Agrave5AtildedIumlfcedilAtildeAgrave5sup1Auml|AEligwAumliquesteacute=IumlEgravefrac14raquoiEcirc aacuteIacuteIumlcurrenZEgravefrac14cedilfrac12frac14dAring~EcircS] dividedugrave|ugraveUuacute iquest` Z-EumliacuteatildeUOuml~frac12sup1raquo~Atildeaumlfrac14dAgrave Aacutesup1Acirc|AtildeOtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAEligOgraveregAumldcedilOgraveRfrac14AEligqAacuteAcircUsup1EcircAtilde5AumltimesAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIumlOacuteigraveraquo13] x4rv p ildrRtcodil|od5v pv P4vaeligod x4shy(l not vUacutesectpqo4v 4tu not IumlETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1Riquest[cedilAtilde5Atilde5Agrave5Atilde|Iuml

szligAumldraquoOgraveufrac14cedil4EcirciquestszligyIuml] uacute_^J^q iquest` szlig9Atilde5ordmdsup1AumldraquoEumlsEacuteifrac14AEligwAtildeEcircFAEligqAacutewcedil4frac14ZAacuteAtilde5ordm|sup1Atilde5AEligeOgraveuAumlcedil-frac14dAgraveAacutesup1AcircnAtildeEgraveAgraveAuml|raquoLAacuteAuml|AringcedilIgrave(AumlUEcircAtilde5frac12AElig_aIuml x4~rv p4PldrRtcoPl|poundUodUp il|WoqodshyiUrv paumlumltutco I v dividezw iquest divideddividez^+yUdivide uacute Iuml

atildefrac14Igrave(AEligwAuml|raquoiquestzhIumliquestzIumlzZ=frac12frac14raquo~AgraveEumleacuteAtildecedil4frac14AringiEcirciquestJ[NtildeIumldagraveAringEacutePAtildecedilwAacuteiquestfrac14draquo~Ecirc dIumlJregPAtildecedilAring~Eacutesup1frac14I] dividedugravedugrave|ugrave iquest` agrave frac12Atilde5Acirc|Atilde5frac12UAEligwAtildeAacuteIgrave(AumlUEcircAtilde5frac12nOgraveregAumldcedilsup1Igravefrac14ordm|AtildeAgrave5frac12frac14dAEligwAEligwsup1siAgravefrac14ZAacutesup1Auml|raquo13aIuml x4~rv p4PlrRtcodPldpoundUodUp4Pl|BoqNtildeodshyiUrv pOtildeumltreg4tRod shy v Ew iquest uacute r4y~uacute4^Er Iuml

atildefrac14raquo~ordmdCcedilgsup1raquoAtilde|iquest9atilde]IumlEgravefrac14draquo~Ecircszlig0IumlampiexclAumldcedilraquoAtilde v Atilde5EcircAElig5Iuml w ] uacute_^J^ Uiquest ~vIacuteo|odUpaumltushyl not vipqo4v 4tu not ldP|m4oo4uml Iumlh=Icircifrac14dOumlIgravefrac14draquodegmacriexclampfrac14dfrac12frac12RIumlatildeAtildeAacuteIcircsup1frac14draquoiquestdIumlplusmn] uacute4^z^|ugrave iquestU` oAringIgrave(Atildecedilsup1Agravefrac14dfrac12Ufrac14frac12ordm|Aumldcedilsup1currenAacuteIcircIgrave(AEligWOgraveuAumldcedilOumlcedilAuml|Oumlifrac14ordmnfrac14ZAacutesup1raquoordmsup1raquoLAacuteAtildecedilwOgraveRfrac14Agrave5Atilde5AElig_]Jiexclampfrac14dIgrave(sup1frac12currenAacuteAuml|raquoEumldnfrac14dAgrave5AumldEacute~sup1

AtildeecircLAringifrac14Aacutesup1Aumldraquo~AElig-frac14draquoiEcircAgraveAuml|raquo~AEligwAtilde cedilAcirc|frac14ZAacutesup1Aumldraquo(frac12frac14CcedilgAElig_aIuml poundUodUp4Pl|]oqEgraveyen$t lv pv rRtcl| voshyv rRp~ iquest uacute4Uuacutey~uacute x uacute IumlatildeAtildeAacuteIcircsup1frac14draquoiquestAdIuml] uacute4^J^ xiquest kWvndvB]v r j v rregod IumlcurrenhEgravefrac14dIgraveNtildeEacutecedilsup1EcircordmdAtilderaquosup1AcircPIumlAfecedilAtilde5AEligwAElig5Iumlatildesup1Ecirc~Ecircsup1ecircUsup1Riquest4bIumliquest_yenNtildeIumlBfrac14Aring~Ocirc5sup1Gsup2AtildecedilAtilde|iquestagraveyIumlETHWfrac14draquoraquo~Atilde5raquoUEacute~frac14dAring~IgraveUacuteiquest5frac14draquo~EcircNtildeatildePIumlregPAring~Agrave4UgravenAtildecedil4] uacute_^J^ xUiquestE`currenagravegcedilAtildefrac149frac14draquoiEcirc$frac12Atilde5raquoordmdAacuteIcircyIgrave(sup1raquoEuml

sup1Igrave(sup1Ocirc5sup1raquoordm sup3iAumlCcedilgAEliggOgraveuAumldcedilAEligwIcircifrac14OumlPAtildeyAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo13aIuml xQ|||~pwl~ lnrRtcodoOtildex4shyl not vsectEgravepwo4v tu notordf v Ew iquest qEz+yqzqE Iumlyen=AtildeOcirc5Ocirc5sup1RiquestagraveyIumliquest5agrave0Iuml5ETHEgraveAEligfrac14dsup1Riquestfrac14draquo~Ecirc$agrave0Iuml Ucirc sup1frac12frac12AEligwUgraveLfrac34] uacute4^z^J^ iquestJ` agraveaeligAEligqAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12Ufrac14dOumlOumlcedilAumlnfrac14Agrave IcircampAacuteAumlgAEligwraquo~frac14dUgravenAtilde5AElig]OgraveuAumlcedilWEacutesup1Igrave(AumlUEcircfrac14dfrac12frac14draquoiEcircAacutewcedilsup1Igrave(AumlUEcirc~frac14frac12isup1Igravefrac14dordmdAtildecedilwfrac34aIumligraveraquo13] x4rv p ildrRtcodil|eodv pwv P4vyodx4shyl not vgsectpqo v tu not IumlAb$AumldEacutePAtildednfrac14dOuml~frac14draquoIumlreg]IcircUAringiquest]atilde]Iumlfrac14raquoiEcircaumlagrave0Iumleyen=Aringsup1frac12frac12AtildeJ] uacute_^J^ xUiquestpound` szlig9Atilde5ordmdsup1AumldraquotimesAgrave5AumldIgrave(OumlPAtildeAacutesup1currenAacutesup1Auml|raquo13]iAring~raquo~sup1currenOgraveYacutefrac34sup1raquoordmiexclAEligwraquo~frac14dUgravenAtilde5AElig5iquestPcedilAtildeordm|sup1Auml|raquoTordmdcedilAumlCcedilgsup1raquo~ordmiquestfrac14draquoiEcircZEgravefrac145frac34LAtilde5AEligacute|aacuteTHORNOgraveregAumldcedilIgraveFAring~frac12currenAacutesup1Eacuteifrac14raquoiEcirc sup1Igravefrac14ordm|AtildeTAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo13aIuml xQ|||micro~pwld lnrRtcodtimesosect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4v Icent iquesteJ q+yU^dugrave|ugrave Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfo

i $amp)(+-)013021+345627893lt=gt9A6CBfrac12OcircacuteIshyNT

frac12OcircacuteIltNTpara frac12frac34EMeJaumlQcYZYZjJUacuteQsY H [ ^QEgraveJLhZJUO H QcN H J H MeJordfXiacute[]fcfR[WQcO[Oslash^e[]ZaringNPQsOXiacutejOb H QR[]ONPfdaringocirc|adOuml times jOcircaacute uuml times a2atildeltszligaumlgtszliglOuml times j atilde auml

G QsObnJ H MJeumlYZJ H [SXIacuteNPfcfUacute^e[]ZaringNPQsOYMNPY Oe[ H N Y H hjb H jhZJ`[SXUPJUb H [PhQcNPfOtildeYZKNPbnJSefRJ H jYZ N`PJ H MeJeumlhZJ[]QR[]OYJUP[]fVUPJ H MehZ[]j[]M NrXqNSZaringQcfVm [SX H hNPOYYX[PhlZ N H QR[]OYa(|aagraveszlig jj emiddot iacuteaumlYlZOslash[[ H MaNPO^ centQ ~JUb H QVUPJS^ not [PhNOslashKEgrave[]QcO H $ aacute atildeshyszligaumlN eFWFJTOe[ H JSaring$ aagravej|aacutemiddot|aagraveszlig $ j WiexclQ H M |a s szlig $ jaacute $OumlcopytimesaagravejOcircaacutemiddot|aagraveszliglOumlutimesdj WiexclQ H M |a s szliglOumlcopytimesAjOcircaacuteAumlOumlutimes9J H jY H MeJUO^JOeJ H MeJordfUPJUfR[WbLQ H moUPJUb H [PhdY JUfs^kfrac12 YZjbM H MN H aringfrac12sup1aagraveszlig $ aagravejj|aacute aelig |aelig agrave aagraveszlig $ j YlaquoXiacuteNiharingNPY H MeJ bn[]ZOslashKj H N H QR[]O[SX H MeJ ^eJLhQU~N H QVUPJ QcYOslashbn[]ObnJLhOeJU^OeWFJNihZJQcOWVH JLhZJUY H JU^ QcO YYZaringNPfcfOtilde^JX[PhlZ N H QR[]OY^ J H MBjYJkWKNPO^ H MeJ H hNPOYX[PhZaringN H QR[]ONPbLbn[Ph^QcO[ H [hdY H [Ph^eJLh NmWfR[PhyacuteXiacute[PhlZtimesjfcNaring|aagraveszlig $ jpoundaacuteAElig|a s szlig $ j agrave aelig |aelig agrave a s szlig $ jaacute $ ragrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacute frac14 frac14 a s szlig $ j^ J H MeJUOQcO H hZ[W^jbnJ H MehZJLJgZ NPQcO^eJOQ H QR[]OYaringf^QMeJg0jfRJLhQcNPO^eJLhQU~N H QVUPJOtilde[SXocirc|adOuml times jordfaqQcO H MeJIacute^QRhZJUb H QR[]O[SXcedilfrac12jaring ocirc|adOumlcopytimesszlig_frac12jOcircaacutefcQZUcedil iacute ocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave admacrfj ^QMeJgZaringN H JLhQsNPfg^eJLhQVUiN H QVUPJOtilde[SXuumlStimesYa $ szliglOumlcopytimes)jaringsup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j|aacutefcQZUcedil iacute uumlStimesa $ ragrave3frac12ba $ jszliglOumlutimes agrave3frac12sup1a $ jj uuml]timesa $ szliglOumlcopytimesdjagrave admacr j^QMeJaumlYZMNiKEgraveJOtilde^eJLhQU~N H QVUPJOtilde[SXOcircuuml]timesa $ szliglOumlutimes)jaring

uumlnotraquotimes a $ szliglOumlcopytimesUcircszlig_frac12 jaacutefcQZUcedil iacute uumlStimesYa $ szliglOumlutimesragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave admacrS]j

uumlnyacutenthornnyumll13YSordmY_Fordfy

yenKbrvbarsect =4 acirc $ hq centUWQR[]jYZfVmSe-centmaJkBKNPO^QcO[ admacr jUacuteNPbLbn[Ph^QcOF[ H [hdY H [Phd^eJLhordfNmBfR[PhordfXiacute[PhlZtimesjfcNeWFJaumlMNUPJSaring sup1uumlStimesYa $ szliglOumlcopytimesUcircszlig_frac12 jaacuteAumluumlnotraquotimes a $ szliglOumlcopytimesszlig_frac12jhuumlStimesa $ szliglOumlcopytimes)j frac12sup1a $ j admacrj J H MeJUOabn[]ZOslashK-j H JZOslash[PhJaumlKhZJUbLQcYZJUfVm H MJ0jfRJLhQcNPO ^eJLhdQVU~N H QUPJauml[SXcopyocirc|adOumlcopytimesdj^ JMNUPJSaringocircOcircadOumlutimesaagravejj ocircOcircadOumlutimes)jagrave aacute fagrave = thorn yuml uuml times a $ aagravejszliglOuml times aagravejj $ uuml times a $ szliglOuml times j $ FH admacrSmacr]j5O H MJohY H QcO H J[PhdNPfdeltWFJZaringN`PJ H MeJU~NihdQcNicentfRJ bMNPO[PJ $ aagravejaacute $ agrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacuteethicirc7a2atildeshyszligaumlFjszligicirc cent a2atildeltszligaumlj eWMQcbdM[]QVUPJUYaring thorn yuml uuml]timesYa $ aagravejszliglOumlcopytimesYaagravejj $ aacute admacrS]j

5 uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlutimes agrave3frac12sup1a $ jjlt^eJ H ocirc a $ jlt $WMJLhZJocirc a $ jQcY H MeJgXiacute[]fcfR[WQcO[aringSNPbn[PcentQcNPOtZaringN H hdQkKaring

ocirc a $ jaacute oacute fcedilxagrave frac14 iacute oslashfrac14Uordm agrave frac14 iacute oslashfrac14 ugraveagrave frac14 iacute acircfrac14ordm fcedil agrave frac14 iacute acircfrac14 ugrave ocircNPO^ YZ[eFWNtildeJIacuteMNUPJSaring

^eJ H ocirc a $ jOcircaacute fUragravee^QVUKafrac34frac12sup1a $ jjragrave cent ^eJ H amacr frac12sup1a $ jjMJUOWNtildeJauml[Pcent H NPQcOOaring

fsQZcedil iacute ^eJ H ocirc a $ j fagrave aacute ^QVUKafrac34frac12sup1a $ jj admacr]zSjMJJBjN H QR[]OxadmacrSmacr]j H MeJUOcent=JUbn[]ZaringJUYaringocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave aacute fagrave middot uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jjlt 13raquo ocirc a $ jlt $ uumlStimesa $ szliglOumlcopytimesAj $ admacrSi]j JTbLNPO`YZjeKKEgrave[]YJ H MN H ^eJ H aocirc a $ jjfrac14aacute sfrac12 agrave frac12 $ ^ JZaringNm H MeJUO H N`PJ^eJ H aocirc a $ jjfrac34 s eNPO^ WNtildeJ ^eJUPJUfR[PK H MeJaJkWKhZJUYYZQR[]OadmacrSi]j NPYoX[]fsfR[WQsO[centmNP^^QcO[aringN H JLhZ QcO H MeJIacuteYZJUbn[]O^aQcO H J[PhNPfltWMQcfcJaumlYZjeKKhJUYZYZQcO[ H MeJtimesYZNSZOslashJ H JLhlZQcO H MJordfhY H QcO H J[PhNPfdaring ocirc|adOumlcopytimesYaagravejj ocirc|adOumlcopytimes)jagrave aacuteegraveOtildef1rOtilde cent admacrSh]j

uumlnyacutenthornnyumll13YSordmY_Fordf

s $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJSaring

Otilde aacute uuml]timesa $ ragrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave ^eJ H aocirc a $ jj $ ad s jOtilde cent aacute uuml]timesa $ szliglOumlcopytimesdj ^eJ H aocirc a $ jj fagrave $ adfj

9J H jY_ZaringN`PJordmagrave H JUO^ H [WNih^Y s ^curreniquestYZQcO[frac34admacrjiexclNPO^JOQ H Qc[]OYadmacr e macrS]jeWFJ[PJ H aringfcQZUcedil iacute Otilde aacute sup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j $

aacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ uuml times a $ szliglOuml times j frac12sup1a $ j $fcQZUcedil iacute Otilde cent aacute uuml]timesa $ szliglOumlcopytimesdj^QVUKafrac34frac12 j $

O^ Y[Xiacute[Ph H MeJgNtildejfRJLhQsNPO ^eJLhQVUiN H QVUPJSeWFJgO^Oaring ocirc|adOuml times szlig_frac12jumlaacuteyacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ amacrreguumlStimesYa $ szliglOumlcopytimes)j frac12sup1a $ j7 uuml]timesYa $ szliglOumlcopytimes)j^QVUKafrac34frac12sup1a $ jjj $aacute uumlnotraquotimes a $ szliglOuml times szlig_frac12j $ ^QVUKaduuml times frac12j $ ad j

MeJUO NiKKfVmWQcO[ H MJ hJLJUOWVAQRJZ NPOO H MeJL[PhZJZQcO ad jeWNtildeJ5ONPfcfmtimes[Pcent H NPQcOOaring ocirc|adOumlcopytimesszlig_frac12jOcircaacute uuml raquotimes a $ szliglOumlcopytimesUcircszlig_frac12j $ uacutefrac14 5 uuml]timesYafrac34frac12 eacuteAgraveiquestsup1AacuteAtildeAcircj THORN adS]jWMJLhZJ5eacuteAgraveiquestsup1AacuteAtildeAcircyQcY H MeJUacutejOQ H QcOOgraveWNih^ Oe[PhlZaringNPf H [ aelig OumlcopytimesUcirc^MeJ_NtildejfRJLhQcNPO ^eJLhQVUiN H QVUPJQcY(O[ H JU^ ocirc raquo aagravej(QcO H MeJaumlKNiKEgraveJLhNPO^ H MeJaumlYZMNiKEgraveJauml^eJLhQU~N H QVUPJyuuml raquotimes QcY(Oe[ H JU^ frac14 frac14 ^iquest acutemicrosup1cedilFLft not [PhyYQZOslashKfcQsbLQ H mSeWNtildeJ(bM[[]YJ H MeJcopyXiacute[]fcfR[WQcO[_U~NihQsN H QR[]OaeligQcO H MeJKhZ[B[SXaring$ aagravejaacute $ agrave3frac12sup1a $ j^MJiexclKh[[SXZaringNm NPfcYZ[IacutecentEgraveJiexcl^JUPJUfR[PKEgraveJU^WiexclQ H MZaring[PhZJ_[PJUOJLhNPfUiNihQcN H QR[]OYFYjbM NPYaring $ aagravejaacuteAacuteAgravea $ szligYagravejWQ H MAcircAgrave`NOslashYYZOslash[B[ H MXiacutejOb H QR[]ONPO^AcircAgravea szligYagravejcentQ ~5JUb H QVUPJS^

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ ffrac12OcircacuteIshyNT AcircE J(MNUPJ H [Otildebn[]ZOslashK-j H J H MJNtilde^QEgraveJLhZJUO HH JLhZaringY9[SXQa macr]j9QsOauml[Ph^eJLh H [Uacute[Pcent H NPQcO H MeJ

JUP[]fcj H QR[]OJBjN H QR[]O[SX H MeJ NPb H QUPJ bn[]O H []jehX[Ph H MeJ ^JUYZbnhQRK H [PhdYaumlcentNPYJU^Oacute[]OH MeJ(bn[U~NihQsNPObnJ ZaringN H hQVktimes^eJ H JLhlZ QcONPO H a2Ograveh]j^OgraveMeJ(bn[]ZOslashKj H N H QR[]OaringQcYampKEgraveJLhYXiacute[PhlZOslashJU^Xiacute[Ph H MeJIacute^eJUYZbnhQRK H [Ph_uuml thorn timesOslash yuml ^ q centUWQR[]jYZfmSeN YZQZ QcfcNihbn[]ZOslashKj H N H QR[]OabLNPOacent=JIacute^e[]OeJXiacute[PhOcircuuml thorn UgraveUcircUacuteUuml yuml ^ JiexclbLNPOaeligJkBKhJUYZYOcircuuml thorn timesOslash yuml NPYyNUacutebn[]ZTcent-QcON H QR[]Oaelig[SXgtXiacutejOb H QR[]OYamp^eJLKEgraveJUO^QcOF[[]O H MJOtildehZJ[]QR[]OwOuml timesOslash aring

uumlgtthorn times Oslash yuml a2atildeltszligaumlgtszligYagravejaacute`Ograveoacute m thorn timesOslash yumlaIgraveagrave thorn timesOslash yumlAtilde j cent ocirc adjWMJLhZJordmaacuteAuml85eWiexclQ H MAring8 H MeJordfXqjOb H Qc[]O QcO H h[B^jbnJU^ QcOpounda2Ograveh]je-NPO^aringm thorn timesOslash yuml aacute agrave thorn timesOslash yuml agrave thorn timesOslash yumlcent agrave thorn timesOslash yuml agrave thorn timesOslash yumlAElig agrave thorn times Oslash yumlCcedil agrave thorn timesOslash yumlEgrave agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlEgrave j cent agrave thorn times Oslash yumlcent aIgraveagrave thorn timesOslash yumlCcedil j cent agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlAElig j centWQ H MOaring EFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFH

agrave thorn timesOslash yuml aacute w$ thorn yuml aOtilde S times Oslash j cent atilde aumlagrave thorn timesOslash yumlcent aacute w$ thorn yuml aOtildeOgravecent Scenttimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yuml aacute w$ thorn yuml aOtildeS Stimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yumlAElig aacute w$ thorn yuml aOtilde S times Oslash jaOtildeOgravecent ScenttimesOslash j atilde aumlagrave thorn timesOslash yumlCcedil aacute w$ thorn yuml aOtilde S times Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlEgrave aacute w$ thorn yuml aOtilde cent S centtimes Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlAtilde aacute w$ thorn yuml atilde auml O^ Y[ H MJordfXiacutejOb H QR[]OY aelig thorn timesOslash yumlauml MNUPJ H MeJgXiacute[]fcfR[WiexclQcO[aeligJkBKhZJUYZYZQR[]OYaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

aelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlcent aacute aOtilde cent S centtimesOslash j centaelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlAElig aacute aOtilde S timesOslash jaOtilde cent S centtimesOslash jaelig thorn times Oslash yumlCcedil aacute aOtilde S timesOslash jaOtilde S timesOslash jaelig thorn times Oslash yumlEgrave aacute aOtildeOgravecent ScenttimesOslash jaOtilde13 StimesOslash jaelig thorn times Oslash yumlAtilde aacutemiddotf

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBnot h[]Z H MeJUYJaumlJkWKhZJUYYZQR[]OYeWFJOtildeJUNPYZQcfm ^eJU^jbnJ H MN H aring

$ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde aumlregaacute sEacutefrac12poundEcirc iuml

J H MeJUO MNUPJ H [Tbn[]ZaringKj H J H MeJ H JLhlZaringY eacute thorn times Oslash yumlauml XiacutehZ[]Z H MeJJkWKhZJUYZYQR[]OYamp[SXagrave thorn timesOslash yumlauml eWMQcbM fRJUNP^Y H [aringEFFFFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFFFFH

eacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideoslash aacute w$ thorn yuml uacute ouml $ordfdivideacirc uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIgrave yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H a timesOslash jjeacute thorn timesOslash yumlcent aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideacirc

aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIcirc yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideEuml aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideacirc thorn thorn uacute ouml $_divideIuml yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yumlAElig aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIuml aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideEuml uacute ouml $ordfdivideIuml thorn uacute ouml $_divideIcirc uacute ouml $ordfdivideIgrave yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlCcedil aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIcirc aacute w$ thorn yuml cent thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideacirc uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlEgrave aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIgrave aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideoslash uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlAtilde aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIacute aacute w$ thorn yuml thorn +ETH ouml $_dividethorn uacute ouml $ordfdivideIacute yuml Iuml 8 raquo aq^J H a timesOslash jj

O^centmJkWKhZJUYZYZQsO[ H MeJbn[UiNihQcNPObnJZaringN H hQVkpoundWQ H M H MJregXqjOb H QR[]OYagrave thorn timesOslash yumlauml NPYXiacute[]fcfR[WQcO[aring

timesOslashlaquoaacute 1NtildeNtildeNtildeNtildeNtildeNtilde3uacute ouml $ordfdivideoslashuacute ouml $ordfdivideIacute uacute ouml $_divideIumluacute ouml $_divideIacute uacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIumluacute ouml $ordfdivideIacute uacute ouml $_divideacircuacute ouml $_divideIacute uacute ouml $ordfdivideIgraveuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacute uacute ouml $_divideIgraveuacute ouml $_divideIacute uacute ouml $ordfdivideEumluacute ouml $ordfdivideIacute

6OgraveOgraveOgraveOgraveOgraveOgrave7 J H MJUO^eJU^jbnJSaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

eacute thorn times Oslash yuml aacute a fj thorn yuml ^eJ H aDC Ptimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlcent aacute a fj thorn centcent yuml ^eJ H aDC centcenttimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yuml aacute a fj thorn curren yuml ^eJ H aDC 4times Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlAElig aacute a fj thorn cent yuml ^eJ H aDC centtimes Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlCcedil aacute a fj thorn curren yuml ^eJ H aDC times Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlEgrave aacute a fj thorn centcurren yuml ^eJ H aDCcent4times Oslash j48 raquo aq^eJ H a timesOslash jjeacute thorn times Oslash yumlAtilde aacute amp^eJ H a timesOslash j48 raquo aq^eJ H a timesOslash jj

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ SWMJLhZJC EBtimesOslash QcY H MeJgZaringN H hdQk ^eJU^jbnJU^Xh[]ZOacutetimesOslasharingcentm YZjeKKhZJUYZYZQcOF[ H MeJyuuml UumlON hZ[WNPO^ H MJ I UumlON bn[]fcjFZaringOO^]MeJbn[]ZOslashKj H N H Qc[]OordmX[Ph H MeJ^eJUYZbnhdQRK H [Ph|uuml thorn UgraveUcircUacuteUuml yuml QcYyYQZaringQcfcNihNPO^WFJ H MeJUOOslashMNUPJNPfcf H MeJ(JkWKhZJUYZYZQc[]OY H [aumlbn[]ZOslashKj H J H MeJJUP[]fcj H QR[]OaeligJjN H QR[]OXiacutehZ[]Z H MeJg[PJUOJLhNPfOXiacute[PhlZIacutejfcNta macr]j^gtMQcYcopy[]QVUPJUY H MeJTJUP[]fcj H QR[]O JBjN H QR[]Osup1admacr s j^

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBΩ out

Objects

Γ

inΩ

inΩ

Background Part

-t not Upv copy ETHEgraveIcircAtildeampAacuteiacuteCcedil=AumlFcedilAtilde5ordm|sup1Aumldraquo~AElig9AumldOgravefrac14raquoUacutesup1Igravefrac14dordm|Atilde

Ω

Ω out (τ)Ω

(τ)in

N

Γ(τ)

Ω

N

v

w

N

-t not Upv ETHEgraveIcircAtildeyEcircAumldIgravefrac14dsup1raquo~AEliggfrac14raquoiEcircAacuteIcircAtilde$AcircnAtilde5AgraveAacuteAumlcedilAEliggsup1raquoUAcircnAumldfrac12AcircnAtildeEcircsup1raquoiexclAacuteIcirc~Atilde$EcircAtildecedilsup1Acirc|frac14ZAacutesup1Aumldraquo

uumlnyacutenthornnyumll13YSordmY_F2ordf

yenKbrvbarsect =4 acirc $ Smacr

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 Atilde|IumligraveAacuteAtildecedil4frac14ZAacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvyzU eacuteWsup1ordm|AringcedilAtilde5AEligfrac14iquest Eacuteiquest AgraveJ]iUumlAcircnAumldfrac12AringAacutesup1Auml|raquoOtildeAumlOgraveeAacuteIcirc~Atildeyfrac14dAgrave Aacutesup1Acirc|Atilde0AgraveAuml|raquoLAacuteAuml|AringcedilIgravefrac14raquoifrac14ordm|AtildeEcircUacuteEacuteLfrac34AacuteIcirc~AtildefTHORN$Uuml v qzqwsup1raquo~Agrave5frac12AringiEcircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquoifrac14frac12ampAacuteAtildecedilIgrave(AElig5IumlgeacuteWsup1ordm|AringcedilAtilde5AEligOtildeEcirc]iquest Atildediquest Ograve] g sup1AEligwAringifrac14frac12sup1Ocirc5frac14Aacutesup1Auml|raquo`AumldOgrave0AacuteIcirc~AtildeTAgrave5AumldcedilwcedilAtilde5AEligwOumlPAumldraquoiEcircsup1raquoordmAcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 OgraveuAring~raquoAgraveAacutesup1Auml|raquosup1raquo~Agrave5frac12Aring~Ecircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquo~frac14dfrac12ampAacuteAtildecedilIgrave(AEligraquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirc EacutePAtildeAacuteiacuteCcedil=Atilde5Atilde5raquo ugrave frac14draquoiEcirc divide JUiquestAEligwAring~Agrave4IcircTAacuteIcirc~frac14Aacute$AacuteIcircAtilderaquo~Atilde5ordm|frac14Aacutesup1AcircnAtildeAcircdfrac14dfrac12AringAtilde5AElig0frac14cedilAtildefrac12AumlCcedilEgraveAtildecedilyAacuteIcirc~frac14draquo uacutedivide Uacutefrac14raquoiEcircaumlAacuteIcirc~AtildeOumlPAumldAEligwsup1Aacutesup1AcircnAtilde(Aumldraquo~Atilde5AEligyfrac14ZcedilAtilde(Icirc~sup1ordm|IcircAtildecedilAacuteIcircifrac14raquo uacuteZdivide Iuml

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

Ecirc]Iumligraveraquo~sup1currenAacutesup1frac14dfrac12BAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 Atilde|IumligraveAacuteAtilde cedil4frac14Aacutesup1Auml|raquo ugravedugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not Upv ucirc eacuteWsup1ordmdAringcedilAtilde5AEligtimesfrac14iquest Eacuteiquest AgraveJ]ampUumlAcirc|Auml|frac12AringAacutesup1Auml|raquoAumlOgrave(AacuteIcirc~Atildearingfrac14AgraveAacutesup1AcircnAtildeOslashAgrave5Auml|raquoLAacuteAumldAringcedilIacuteIgravefrac14draquoifrac14ordm|AtildeEcirc`EacuteUfrac34AacuteIcircAtildeOcircfTHORN$Uumlv q w iquestiexclCcedilgsup1currenAacuteIcirc~AumldAringAacuteAacuteIcirc~Atildefrac14dEcirc~Ecircsup1Aacutesup1Aumldraquoifrac14dfrac12TAacuteAtildecedilIgrave(AElig5IumliexcleacuteWsup1ordm|AringcedilAtildeAElig Ecirc]iquest Atildediquest Ograve] g sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo AumlOgraveaeligAacuteIcirc~AtildeAgraveAumldcedilwcedilAtildeEumlAEligwOumlPAuml|raquo~Ecircsup1raquo~ordm AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 OgraveregAring~raquo~Agrave Aacutesup1AumldraquoeumlCcedilgsup1currenAacuteIcirc~Auml|AringAacuteIacuteAacuteIcircAtilde frac14|Ecirc~Ecircsup1currenAacutesup1Aumldraquoifrac14frac12FAacuteAtildecedilIgrave(AElig v raquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirceumlAEligwAring~Agrave4Icirc AacuteIcirc~frac14AacuteIgravefrac14icirc vOOtilde wpOumldivide z w Iuml

uumlnyacutenthornnyumll13YSordmY_F2

S $amp)(+-)013021+345627893lt=gt9A6CB

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIumligravesAacuteAtildecedil4frac14Aacutesup1Aumldraquogt ugrave|ugrave AgravedIumlieacuteWsup1raquoifrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12Acirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 AtildedIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIumlieacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvtimesLg sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo(AumldOgravePAacuteIcirc~AtildeAtildeAcircnAuml|frac12AringAacutesup1AumldraquoAumldOgravePAacuteIcircAtildeEgraveAgrave5Auml|raquoLAacuteAumldAringcedil-frac14draquo~EcircNtildeAacuteIcirc~AtildeEgraveAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 v Ccedilgsup1AacuteIcircAuml|AringAacuteAacuteIcircAtildeEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircFAacuteAtilde cedilIgrave w OgraveregAumldcedilEgraveAacuteIcircAtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoAumlOgraveAacuteIcircAtilde9Ograveufrac14dAgrave5AtildeAring~AEligwsup1raquo~ordmyAacuteIcirc~Atilde9Agrave5AumlZAcirc|frac14Zcedilsup1frac14draquo~AgraveAtildeIgravefrac14Aacutewcedilsup1currenicirc]Iuml

frac14Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcircnAtilde EacuteIumligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 v AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde w Agrave|Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacutefrac34 v Acircdfrac14cedilsup1frac14draquoAgrave5Atilde w-t not Upv h=AumldIgrave(Oumlifrac14cedilsup1AEligwAumldraquoOtildeAumldOgraveAacuteIcirc~Atilde$sup1raquo~sup1currenAacutesup1frac14dfrac12eAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34iexclAgrave5Auml|Igrave(OumlAringAacuteAtildeEcircAringAEligwsup1raquo~ordmAacuteIcirc~Atilde$AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde0Igravefrac14Aacutewcedilsup1currenicircv iordmdAringcedilAtildeFEacute w AacuteAumliexclAacuteIcircAtildeAuml|raquoAtildeFAgrave5AumldIgrave(Ouml~AringAacuteAtildeEcircTAringAEligwsup1raquo~ordmiexclAacuteIcircAtildeFAcircdfrac14cedilsup1frac14draquoAgrave5Atilde v ~ordm|AringcedilAtildeFAgrave w OgraveregcedilAumldIgrave AacuteIcirc~AtildeNtildeAEligfrac14dIgrave(Atildesup1raquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcirc|Atilde v iordmdAringcedilAtilde$frac14 w Iuml

uumlnyacutenthornnyumll13YSordmY_F2_a

yenKbrvbarsect =4 acirc $ ]z

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv Oslash| THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5AtildeccediliacuteAtildecedilsup1UgraveUegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_o

Si $amp)(+-)013021+345627893lt=gt9A6CB

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv ordf THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5Atildeccedilqfrac14dUgraveUsup1currenfrac34LAumldegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_y

RR-0114-SJEHANpdf
  • wwwi3sunicefr
    • httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf
Page 9: LABORATOIRE INFORMATIQUE, SIGNAUX ET SYSTEMES DE …mh/RR/2001/liste-2001.pdf · 2002. 6. 27. · [Dir01] DIRAT L. “Outils pour des Mathématiques Interactives et Distribuées”

LABORATOIRE

INFORMATIQUE SIGNAUX ET SYSTEgraveMESDE SOPHIAANTIPOLIS

UMR 6070

DREAM2S DEFORMABLE REGIONS DRIVEN BY ANEULERIAN ACCURATE M INIMIZATION METHOD FOR

IMAGE AND VIDEO SEGMENTATION

Stephanie JEHAN-BESSON Michel BARLAUD Gilles AUBERT

Projet CREATIVE

RapportderechercheI3SRRndash2001-14ndashFR

novembre 2001

LABORATOIRE I3S LesAlgorithmes EuclideB ndash 2000routedesLuciolesndash BP 121ndash06903Sophia-Antipolis Cedex Francendash Teacutel (33) 492942701ndash Teacuteleacutecopie (33) 492942898

httpwwwi3sunicefrI3SFR

REacuteSUMEacute

MOTS CLEacuteS Contours actifsbaseacutes reacutegions optimisation de domaine segmentation non superviseacutee deacutetection de visage deacuteter-minant dela matricedecovariance

ABSTRACT Originally active contours wereboundary-basedmethods They weredriven towardstheedgesof animagefromtheminimization of a criterionwith only boundary-basedtermsThemainpurposeof region-basedactive contours is to maketheactivecontour evolveusinginformationontheregionsin addition to theclassicalboundary-basedinformation

We proposeherea generalEulerian framework for region-basedactive contours namedDREAM2SWe introducea generalcriterion includingbothregion-basedandboundary-basedtermswheretheinformationontheregionsis embeddedin afunctionnameddescriptor Theoriginality of thiswork is twofold Firstly weproposeto useshapeoptimization principlesto computetheevolution equationof theactivecontour thatwill makeit evolveasfastaspossibletowardsaminimumof thecriterionSecondlywe take into account thevariationof thedescriptors during thepropagationof thecurve Indeed a descriptor maybegloballyattachedto the region andthusregion-dependentIt happens whenstatisticalfeatures of a region like for example the meanor thevariance of a region areselectedasdescriptors We show that thedependenceof thedescriptors on the region inducesadditional termsin theevolution equationof theactive contour thathave not beenpreviously computed DREAM2S gives aneasyway to takesuchadependenceinto account andto computetheresultingadditional terms

Experimental resultspoint out the importanceof the additional termsto reacha true minimum of the criterion andso toconverge on accurate results The covariancematrix determinant appears to be a very relevant tool for homogeneous colorregionssegmentationAs anexample it hasbeensuccessfullyappliedto facedetectionin realvideosequences

KEY WORDS Region-basedactivecontoursshapeoptimizationunsupervisedsegmentationfacedetection covariancematrixdeterminant

13 $ amp()+$-0123(4-5766-398( 1 lt=98ampgt8BA(0)CD ampE()gt+F)-0-amp=$8B98amp

GBHBIJLKMNPOQRJTSPJUMNPOWV4XFJUYZY[]ONPO^`_aQcbdMeJUfgXNihfcNPj^kBlnmodpqldrsodtupwvyx z|~B9iZ]nn pqodUrvFLv ke~tRo|v n|L zio UtclF9~rRt o| tuBpwldi4v vld~cmldp ldZP=tRz|U~tR v p QsfcfRJUY iexcljcent=JLh HkBlnmodpqldrsodtupwvFpoundcurren0]yenamptsv nod$brvbarv 9BiZPampUsect9lpwTumll| pqodvnncopynordf tc4v-vwLvwlaquo Bpwldi4vnot ldm4v p r=shyldrreg~Utc4v p

macrdegWplusmn5sup25sup3Zacuteimicro|sup2|para7middotcedilsup1ordm|sup1raquo~frac14dfrac12frac12currenfrac34Liquestefrac14dAgrave Aacutesup1Acirc|Atilde(Agrave5Auml|raquoLAacuteAuml|AringcedilAElig$CcedilEgraveAtildecedilAtilde(EacutePAumldAring~raquoiEcircfrac14cedilwfrac34UEumlsEacuteifrac14AEligwAtildeEcircIacuteIgrave(AtildeAacuteIcircAumlUEcircAElig5IumlETHEgraveIcirc~Atilde frac34TCcedil=AtildecedilAtildeEcirccedilsup1AcircnAtilde5raquoNtildeAacuteAumlZCcedilEgravefrac14cedil4EcircAElig=AacuteIcirc~AtildegAtildeEcircordm|Atilde5AEligEgraveAumlOgravefrac14draquosup1Igravefrac14dordm|AtildegOgraveregcedilAumldIgraveOacuteAacuteIcircAtildeIgrave(sup1raquosup1Igrave(sup1Ocircfrac14ZAacutesup1Auml|raquo(AumldOgravefrac14yAgravecedilsup1currenAacuteAtildecedilsup1Auml|raquo(Ccedilgsup1currenAacuteIcircAuml|raquo~frac12currenfrac34EacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircOtildeAacuteAtildecedilIgrave(AElig5IumlETHEgraveIcirc~Atilde(Igravefrac14sup1raquotimesOuml~AringcedilOumlPAuml|AEligwAtildeAumlOgraveEgravecedilAtilde5ordmdsup1AumldraquoEumlsEacuteifrac14AEligwAtildeEcircOslashfrac14dAgrave Aacutesup1Acirc|AtildeAgrave5Auml|raquoLAacuteAumldAringcedilAEligysup1AEligyAacuteAumliexclAacuteAumlIgravefrac14dUgravenAtilde9AacuteIcirc~Atildefrac14dAgraveAacutesup1AcircnAtilde$Agrave5AumldraquoLAacuteAuml|AringcedilgAtildeAcircnAuml|frac12AcircnAtildeampAringAEligwsup1raquo~ordmFsup1raquoOgraveuAumldcedilIgravefrac14ZAacutesup1Auml|raquoUacuteAumldraquoiexclAacuteIcirc~AtildecedilAtilde5ordm|sup1Auml|raquoAElig5iquestisup1raquoUacutefrac14dEcirc~Ecircsup1Aacutesup1AumldraquoiexclAacuteAumlNtildeAacuteIcircAtildeAgrave5frac12frac14dAEligwAEligwsup1Agravefrac14frac12WEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircsup1raquoOgraveregAumldcedilIgravefrac14Aacutesup1AumldraquoIuml

Ucirc Atilde$OumlcedilAumldOumlPAuml|AEligwAtildeyIcirc~Atilde cedilAtildeyfrac14ordm|Atilde5raquoAtildecedil4frac14dfrac12BUumlAringfrac12Atilde cedilsup1Yacutefrac14raquoUacuteOgraveregcedil4frac14Igrave(AtildeCcedilEgraveAumlcedilUgraveiexclOgraveuAumlcedilcedilAtildeordm|sup1Auml|raquoEumlEacute~frac14dAEligwAtildeEcircOtildefrac14AgraveAacutesup1AcircnAtildeyAgrave5Auml|raquoLAacuteAumldAringcedilAEligraquoifrac14Igrave(AtildeEcircIacuteTHORNampszligUumlagraveampaacuteOtildeacirc5atildePIuml Ucirc Atilde(sup1raquoLAacutewcedilAumlUEcircAringAgrave5Atildefrac14aumlordmdAtilde5raquo~Atilde cedil4frac14dfrac12EgraveAgravecedilsup1currenAacuteAtildecedilsup1Aumldraquoiquestesup1raquo~Agravefrac12Aring~Ecircsup1raquo~ordmaumlEacutePAumlAacuteIcirctimescedilAtilde5ordm|sup1AumldraquoEumlsEacuteifrac14AEligwAtildeEcircfrac14draquo~EcirctimesEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircTAacuteAtildecedilIgrave(AElig5iquestBCcedilgIcircAtildecedilAtildeAacuteIcircAtilde(sup1raquoOgraveuAumlcedilIgravefrac14Aacutesup1Auml|raquoaringAumldraquoaeligAacuteIcirc~Atilde(cedilAtilde5ordm|sup1Aumldraquo~AEligFsup1AEligNtildeAtilde5IgraveFEacutePAtildeEcircEcircAtildeEcircTsup1raquofrac14OgraveregAring~raquo~Agrave Aacutesup1AumldraquoIacuteraquo~frac14dIgrave(AtildeEcircccedilqEcircAtilde5AEligwAgravecedilsup1OumlAacuteAumlcedilegraveIumlBETHEgraveIcirc~AtildeAumlcedilsup1ordm|sup1raquoifrac14frac12sup1currenAacutefrac34aeligAumldOgrave-AacuteIcirc~sup1AEligampCcedilEgraveAumlcedilUgraveaumlsup1AEligampAacuteCcedilEgraveAumlOgraveuAuml|frac12Ecirc]IumlWeacuteWsup1currencedilAEligqAacutefrac12currenfrac34LiquestCcedil=AtildeOumlcedilAumldOumlPAuml|AEligwAtildeyAacuteAumlAringAEligwAtildeNtildeAEligwIcirc~frac14dOumlPAtilde0Auml|OumlAacutesup1Igrave(sup1Ocircfrac14ZAacutesup1Auml|raquoaumlOumlcedilsup1raquo~Agravesup1Oumlfrac12Atilde5AEligAacuteAumlAgrave5AumldIgrave(Ouml~AringAacuteAtildeampAacuteIcircAtildeNtildeAtildeAcircnAuml|frac12AringAacutesup1AumldraquoTAtilde5ecircUAring~frac14Aacutesup1Auml|raquoOtildeAumlOgraveAacuteIcirc~Atilde9frac14dAgrave Aacutesup1Acirc|AtildeAgrave5AumldraquoLAacuteAuml|AringcedilAacuteIcircifrac14ZAacute=Ccedilgsup1frac12frac12PIgravefrac14dUgravenAtildegsup1currenAacute-Atilde5AcircnAuml|frac12AcircnAtildefrac14dAEligOgraveRfrac14AEligqAacutegfrac14dAElig-OumlPAuml|AEligwAEligwsup1Eacute~frac12AtildeAacuteAumlCcedilEgravefrac14cedil4EcircAEligEgravefrac14yIgrave(sup1raquosup1IgraveNtildeAring~IgraveeumlAumlOgraveAacuteIcirc~AtildeAgravecedilsup1currenAacuteAtildecedilsup1Auml|raquoIumliatildeAtildeAgrave5Auml|raquo~Ecircfrac12currenfrac34LiquestLCcedilEgraveAtildeampAacute4frac14UgravenAtildesup1raquoLAacuteAumlfrac14Agrave5Agrave5Auml|AringraquoLAacuteAacuteIcirc~AtildeampAcircdfrac14cedilsup1frac14Aacutesup1AumldraquoAumldOgraveBAacuteIcirc~Atilde$EcircAtilde5AEligwAgravecedilsup1OumlAacuteAumlcedilAEliggEcircAringcedilsup1raquoordmAacuteIcirc~Atilde$OumlcedilAuml|Oumlifrac14ordmnfrac14ZAacutesup1AumldraquoaumlAumldOgraveAacuteIcirc~AtildeyAgrave5AringcedilAcircnAtilde|IumligraveiacuteraquoiEcircAtilde5AtildeEcirc]iquestPfrac14(EcircAtildeAEligwAgravecedilsup1OumlAacuteAumldcedilIgravefrac145frac34EacutePAtildeyordmdfrac12AumldEacuteifrac14frac12frac12currenfrac34aumlfrac14ZAacutewAacute4frac14dAgrave4Icirc~AtildeEcircAacuteAumlAacuteIcircAtildecedilAtilde5ordm|sup1AumldraquoFfrac14raquoiEcircAacuteIcircUAring~AElig5iquestPccedilscedilAtilde5ordm|sup1AumldraquoEumlEcircAtilde5OumlPAtilderaquoiEcircAtilderaquoUAacuteegraveIumlZigraveAacuteIcircifrac14Ouml~OumlPAtilde5raquoAEligCcedilgIcirc~Atilderaquo0AEligqAacute4frac14ZAacutesup1AEligqAacutesup1Agrave5frac14dfrac12LOgraveuAtildefrac14ZAacuteAringcedilAtilde5AEligBAumldOgrave~frac14gcedilAtilde5ordmdsup1Auml|raquoiquestfrac12sup1Ugrave|AtildeFOgraveuAumlcedilFAtildeicircfrac14Igrave(Ouml~frac12AtildeNtildeAacuteIcircAtilde(Igrave(Atildefrac14draquoTAumldcedilyAacuteIcirc~AtildeFAcirc|frac14Zcedilsup1Yacutefrac14raquo~Agrave5Atilde(AumlOgrave9frac14iexclcedilAtilde5ordmdsup1AumldraquoiquestBfrac14cedilAtilde(AEligwAtilde5frac12Atilde5Agrave AacuteAtildeEcircOslashfrac14dAElig0EcircAtildeAEligwAgravecedilsup1OumlAacuteAumldcedilAElig5IumlUcirc AtildeAEligwIcircAumlCcedilAacuteIcirc~frac14AacuteyAacuteIcirc~AtildeEcircAtilde5OumlPAtilde5raquoiEcircAtilde5raquo~AgraveAtilde(AumldOgraveAacuteIcirc~AtildeEcircAtilde5AEligwAgravecedilsup1OumlAacuteAumlcedilAEligNtildeAumldraquotimesAacuteIcirc~AtildecedilAtildeordm|sup1Auml|raquoOslashsup1raquoiEcircAring~Agrave5AtildeAEligNtildefrac14dEcirc~Ecircsup1Aacutesup1Aumldraquoifrac14dfrac12AacuteAtildecedilIgrave(AElig=sup1raquoAacuteIcirc~AtildeAtilde5AcircnAuml|frac12AringAacutesup1AumldraquoAtildeecircLAring~frac14Aacutesup1Auml|raquoAumldOgraveAacuteIcirc~Atildeampfrac14AgraveAacutesup1AcircnAtildeampAgrave5AumldraquoLAacuteAuml|Aringcedil=AacuteIcircifrac14AacuteEgraveIcircifrac14AcircnAtilderaquoAumldAacuteEacutePAtildeAtilde5raquoiexclOumlcedilAtilde5AcircUsup1Auml|Aring~AEligwfrac12currenfrac34Agrave5Auml|Igrave(OumlAringAacuteAtildeEcirc]IumlTHORNampszligUumlagraveampaacuteOtildeacircatildeIacuteordm|sup1AcircnAtilde5AEligFfrac14draquoaeligAtilde5frac14dAEligqfrac34aeligCcedilEgravefrac14frac34TAacuteAumlUacuteAacute4frac14dUgrave|AtildeAEligwAringAgrave Icircaeligfrac14OtildeEcircAtilde5OumlPAtilde5raquo~EcircAtilde5raquoAgrave5Atilde(sup1raquoLAacuteAumlaumlfrac14dAgrave5Agrave5AumldAring~raquoLAacutefrac14draquo~EcircAacuteAumlAgrave5AumldIgrave(Ouml~AringAacuteAtildeAacuteIcirc~AtildecedilAtilde5AEligwAring~frac12currenAacutesup1raquo~ordmfrac14dEcirc~Ecircsup1currenAacutesup1Auml|raquo~frac14dfrac12]AacuteAtildecedilIgrave(AElig5Iuml

UumlicircOumlPAtildecedilsup1Igrave(Atilde5raquoLAacute4frac14dfrac12LcedilAtilde5AEligwAringfrac12currenAacuteAElig-OumlPAumldsup1raquoLAacute-Auml|AringAacuteAacuteIcircAtildesup1Igrave(OumlPAumldcedilwAacute4frac14draquoAgrave5AtildeAumldOgravePAacuteIcircAtildegfrac14|EcircEcircsup1currenAacutesup1Auml|raquoifrac14frac12AacuteAtildecedilIgrave(AEligeAacuteAumlcedilAtilde5frac14dAgrave4Icircfrac14AacutewcedilAring~Atilde-Igrave(sup1raquosup1IgraveFAring~IgraveAumlOgraveiAacuteIcirc~Atilde-Agravecedilsup1currenAacuteAtildecedilsup1Auml|raquo(frac14raquoiEcircyAEligwAumlAacuteAumlAgraveAuml|raquoUAcircnAtildecedilordmdAtildeEgraveAuml|raquoNtildefrac14dAgrave5AgraveAringcedil4frac14AacuteAtildeEgravecedilAtildeAEligwAring~frac12currenAacuteAElig5IumldETHEgraveIcirc~AtildeEgraveAgrave5AumlZAcircdfrac14cedilsup1frac14draquoAgrave5AtildeIgravefrac14Aacutewcedilsup1currenicirc0EcircAtilde AacuteAtildecedilIgrave(sup1raquoifrac14draquoLAacutefrac14Ouml~OumlPAtildefrac14ZcedilAEligeAacuteAumlEacutePAtildefrac14Acirc|Atildecedilwfrac34$cedilAtilde5frac12Atilde5Acircdfrac14draquoLAacuteeAacuteAumlLAuml|frac12UOgraveuAumlcedil-IcircAuml|Igrave(Aumldordm|Atilde5raquoAtilde5Auml|AringAEligeAgrave5Auml|frac12AumldcedilcedilAtilde5ordmdsup1Aumldraquo~AEligAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquoIumlagrave9AEligampfrac14raquoIacuteAtildeicircfrac14Igrave(Ouml~frac12Atilde|iquestPsup1currenAacute$Icirc~frac14dAEligampEacutePAtilde5AtilderaquoIacuteAEligwAringAgrave5Agrave5Atilde5AEligwAEligqOgraveregAring~frac12frac12currenfrac34Tfrac14dOuml~Oumlfrac12sup1Atilde5EcircaumlAacuteAumlOgraveRfrac14Agrave5Atilde(EcircAtilde AacuteAtilde5AgraveAacutesup1Auml|raquoTsup1raquocedilAtildefrac14dfrac12AcircUsup1EcircAtilde5AumlAEligwAtilde5ecircUAringAtilde5raquo~AgraveAtilde5AElig5Iuml

iumlethUntildeograve0oacute sup3ocircWplusmn|otildeszligAtildeordm|sup1Auml|raquoEumlEacute~frac14dAEligwAtildeEcircaringfrac14AgraveAacutesup1AcircnAtildeiexclAgraveAuml|raquoLAacuteAuml|AringcedilAElig5iquestAEligwIcircifrac14dOumlPAtildeiexclAuml|OumlAacutesup1Igrave(sup1Ocircfrac14ZAacutesup1Auml|raquoiquestWAring~raquo~AEligwAringOumlPAtildecedilAcircUsup1AEligwAtildeEcircOslashAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoiquestUOgraveRfrac14dAgraveAtildeyEcircAtildeAacuteAtilde5Agrave Aacutesup1Aumldraquoiquest~Agrave5AumlZAcirc|frac14Zcedilsup1Yacutefrac14raquo~Agrave5Atilde$Igravefrac14ZAacutewcedilsup1currenicircEcircAtildeAacuteAtildecedilIgrave(sup1raquoifrac14raquoLAacuteIuml

Agraveoumloslashdividedugrave|ugraveUuacute 9v vwldpq4Uacute9vop r-g nncopy copyucirc x z|iB9aumlio UtclF9~rRt o| tug]pwldi v

uumlnyacute|thornLyuml13

$amp)(+-)013021+345627893lt=gt9A6CBDFEHGIKJLMONQPltRSJT2MgtI

b H QVUPJOslashbn[]O H []jhYOtildeNihZJaeligKEgrave[WFJLhYXiacutejf H [B[]fcY5Xiacute[PhUacuteQCZaringN[PJOslashNPO^UBQc^JL[YZJ[]ZOslashJUO H N H Qc[]OO^G QsObnJ H MeJ[PhQV[]QcONPf_WF[PhY` []O YZON`PJUYbacaumlNPYZYaJ H NPfd^VegfhSiSi]jeiexclNPO Jk H JUOYQVUPJhZJUYZJUNihbMMNPYaeligcent=JLJUO7KEgraveJLhYXiacute[PhlZOslashJU^ H MN H fRJUNP^Y H [B^Nm H [ H MJjYJ[SXon5hJ[]QR[]OWVcentNPYZJU^NPb H QVUPJTbn[]O H []jehYYp^q hQV[]QcONPfsfVmSeNPb H QVUPJ bn[]O H []jehdYWFJLhZJ centEgrave[]jO^NihYmVcentNPYJU^bZOslashJ H Me[W^Yoaq jecentEgraveJLh HNPO^rcOtilde[PhdOeKhZ[PcentY H e sSs fj^ G ON`PJUYtacaumlNPYZYaeligJ H NPfd^VeufhSiSi]jeycent-NPfcfR[B[]OYoa)v[]MeJUOOefhShfj[Phw[PJL[W^eJUYZQcbNPb H QVUPJbn[]O H []jehdYxa)vNPYZJUfcfRJUY J H NPfd^VeyfhSh]zSj`NihZJOacute^hQVUPJUOH [WFNih^Y H MeJ JU^[PJUY [SXOtildeNPOQZaringN[PJS^|MeJ JUP[]fcj H QR[]OJjN H Qc[]O QcYOslashbn[]ZOslashK-j H JU^XiacutehZ[]ZNaumlbnhQ H JLhQR[]O H MN H []OfVmtimesQsObLfcj^eJUYNaumlfR[WbLNPfQcOFX[PhlZ N H QR[]Otimes[]O H MeJ(centEgrave[]jO^NihYm[SX H MeJauml[Pcent~JUb HH [ YZJ[]ZOslashJUO H ^MeJt`PJmQc^eJUNOacute[SXOtildehZJ[]QR[]OWVcent-NPYJU^ NPb H QVUPJeumlbn[]O H []jehYehY H fVmKh[PK=[]YZJU^ centma)vF[]MJUOTJ H NPfd^VefhShS[]OXqNih^OefhShje]QsY H [OtildeQcO H hZ[B^jbnJ0N_[]fR[PcentNPfBQcOXiacute[PhlZaringN H QR[]O[]O H MeJIacute^QV=JLhZJUO H hZJ[]Qc[]OY H [ YJ[]ZOslashJUO H QcOaNP^^Q H QR[]O H [ H MeJIacutecent=[]jO^NihYmVcentNPYJU^QcOFX[PhlZ N H QR[]OOe H [_ZaringN`PJ H MeJNtildeNPb H QUPJNtildebn[]O H []jehJUP[]fUPJS^iexcl[WFJUPJLhePQ H QcYgO[ H9H hQVUWQcNPfH [timesbn[]ZOslashKj H J H MeJJUP[]fcj H QR[]OaringJBjN H QR[]O [SX H MeJiexclNPb H QVUPJUacutebn[]O H []jeh H MN H WQcfsfZaringN`PJQ H JUP[]fUPJ H [WFNih^Y0NyZ QcOQZtimesjFZ[SXNTbnhQ H JLhdQR[]OOslashQcObLfcj^QcO[centEgrave[ H MOslashhZJ[]QR[]OWVcent-NPYJU^NPO^centEgrave[]jO^NihYmVcentNPYJU^ H JLhlZaringY^JUbnJUO H fmSeZaringNPOm KNiKEgraveJLhY MNUPJeumlNP^^ehZJUYYJU^ H MQsYOslashKhZ[PcentfcJZ^0 hZJUWQRJW [SXH MeJUYZJrZaringJ H Me[B^Y QsY`KhZ[PKEgrave[]YJU^1QcO G JUb^ ^ G []ZOslashJ[SX H MeJUYZJxWF[PhY`WY^e[ Oe[ Hbn[]ZOslashK-j H J H MeJ H MeJL[PhZJ H QcbLNPfJkWKhZJUYZYZQc[]O[SX H MeJUPJUfR[BbLQ H mUPJUb H [PhOtilde[SX H MeJtimesNPb H QVUPJbn[]O H []jehcentj H H MeJm bdMe[[]YZJ H MeJ ^QcYKfcNPbnJZaringJUO H H MN H WQcfcf_ZaringN`PJ H MeJbnhQ H JnVhQc[]O ^JUbnhZJUNPYJa)vMN`hNicentEgrave[Ph H m J H NPf)^VefhShSvMeJUYONPj^ J H NPfd^VefhShSh]j^ qH MeJLhWF[PhY`WYKh[PK=[]YZJ H MeJIacutebn[]ZaringKj H N H QR[]O`[SX H MeJUPJUfR[BbLQ H mUPJUb H [PhOtildecentm hZJU^jbLQcOF[ H MeJWM[]fRJOacuteKh[PcentfRJZ H [ centEgrave[]jO^NihYm QcO H J[PhdNPfcYxa)MjNPO^0jQcfcfcJSeyfhShSgampNihN~V[]QR[]Y`NPO^JLhQsbMeJSefhShSh]j[Ph`centm jYQcO[ H MeJ7fRJUPJUfTYJ H ZOslashJ H Me[W^a G NSZ Y[]OJ H NPf)^Ve sSsSs Ov(MNPONPO^$JUYZJSe sSs fj^OMeJm H MeJUOjYZJ H MeJyNtildejfRJLhVAN[PhNPO[PJJBjN H QR[]OY H [ bn[]ZOslashKj H J H MJaumlJUP[]fcj H QR[]OJjN H Qc[]OO^iexcl[WFJUPJLhe H MeJOtildeQcOXiacute[PhlZaringN H QR[]O []O H MeJauml^Q=JLhJUO H hZJ[]QR[]OYe H MN H WNtildeJaumlbLNPfsfMeJLhZJn^eJUYbnhQRK H [Phlp [SX H MeJIacutebn[PhhZJUYKEgrave[]O^QcOF[aringhZJ[]QR[]OOeKZaringNmacent=Jy[]fR[PcentNPfcfVm N HH NPbdMeJU^ H [H MeJ(hJ[]QR[]OO^S5O^eJLJU^OslashQ H [WbLbLjehYXiacute[Ph0Y H N H QcY H QcbLNPf^eJUYZbnhdQRK H [PhYampYZjbdMaringNPY H MeJ_ZOslashJUNPOOeH MeJUiNihQcNPObnJ[Ph H MJMQcY H [S[PhNSZ [SX H MeJ hZJ[]QR[]O^Q5O bLNPYJ [SXUacutejOYZjK=JLhlUBQcYZJU^YJ[]ZaringJUO H N H QR[]Oe H MeJUYZJ ^eJUYZbnhdQRK H [PhYIacuteNihZJ hZJnVJUiNPfcjN H JU^JUNPbM H QZaringJ H MeJ NPb H QVUPJbn[]O H []jehJUP[]fVUPJUYiexclNPO^aY[ H MeJmU~Nihlm^jehQcO[ H MeJIacuteKhZ[PKN[]N H Qc[]O[SX H MeJtimesNPb H QVUPJbn[]O H []jeh^yhZJUWQR[]jYWF[PhY`BYIacute[]O7hZJ[]QR[]OWVcent-NPYJU^NPb H QUPJbn[]O H []jehYaelig^e[eumlOe[ HIacuteH N`PJQcO H [ NPbLbn[]jO HaumlH MQcYKEgrave[]YZYZQRcent-fRJyUiNihQcN H QR[]Oeuml[SX H MeJaring^eJUYbnhQRK H [PhY H [bn[]ZOslashK-j H J H MeJJUP[]fcj H QR[]OJjN H QR[]O[SX H MeJTNPb H QVUPJIacutebn[]O H []jeh^ JTKhZ[PKEgrave[]YJaumlMeJLhZJaumlN[PJUOeJLhNPfNtildejfRJLhQcNPOoXiacutehNSZOslashJWF[PhY`X[PhhZJ[]QR[]OWVcentNPYZJU^NPb|V

H QVUPJbn[]O H []jehY`ONSZOslashJU^ iexcl_0 Uacute_wcent G aiexclJXiacute[PhlZaringNicent-fRJpoundJ[]QR[]OYa^ehQUPJUO centm NPONtildejfRJLhQcNPO iexclbLbLjhN H JT_aQsOQZaringQVcurrenUN H Qc[]O _aJ H Me[W^X[Ph G J[]ZOslashJUO H N H QR[]Ogtj^gtMeJiexclZaringNPQcObn[]O H hQRcentj H QR[]O[SXy[]jh_WF[PhY`aQcY H [centjQcfs^ N H MJL[PhZJ H QcbLNPfQXhdNSZOslashJWNtilde[Phl`centNPYJU^`[]O

uumlnyacute|thornLyuml13

yenKbrvbarsect =4 acirc $ YZMNiK=JT[PK H QZaringQVcurrenUN H Qc[]OKhQsObLQRKfRJUY^ Q H M YZjbM`NPO`NiKKhZ[]NPbMegtWFJIacutebLNPO hZJUNP^QsfVmH N`PJ7QcO H [ NPbLbn[]jO H`H MeJpoundUiNihQcN H QR[]O [SX H MJOacute^eJUYZbnhQcK H [PhY H MN H NihJpound[]fR[PcentNPfcfmN HH NPbdMeJU^ H [ H MeJUacuteJUP[]fVUWQcO[timeshZJ[]QR[]OYgaqbLNPfsfRJU^ hZJ[]QR[]OWV4^eJLKEgraveJUO^JUO H ^eJUYZbnhQcK H [PhYj^ JOtildeYZMe[W H MN HH MeJiexclU~NihQsN H QR[]O [SX9hZJ[]QR[]OWV4^eJLKEgraveJUO^JUO H ^eJUYZbnhQcK H [PhYF^jehQcOF[ H MeJJUP[]fcj H QR[]OOtilde[SX H MeJ0NPb H QUPJFbn[]O H []jehampQcO^jbnJUY9NP^^Q H QR[]ONPf H JLhlZaringY9QsO H MeJyJUP[]fcj H QR[]OJBjN H QR[]Oeuml[SX H MeJOslashNPb H QVUPJ bn[]O H []jeh^MeJUYZJaeligNP^^Q H QR[]ONPf H JLhlZaringYOtildeMNUPJaringOe[ H centEgraveJLJUOKhJUBQR[]jYZfVm bn[]ZOslashK-j H JU^uml^

G []ZOslashJNtildeJkeNSZOslashKfcJUY[SX-jOYZjeKEgraveJLhYUWQcYJU^TYKN H QcNPfBYJ[]ZOslashJUO H N H QR[]OOePjYZQsO[ H MeJcopyUiNihQuVNPObnJ [SX H MJOslashhZJ[]QR[]OYe9KhZ[UPJ H MeJ QZOslashKEgrave[Ph H NPObnJOslash[SX H MeJ NP^^Q H QR[]ONPf H JLhlZaringYordfXiacute[PhH MeJ(NPbLbLjehdNPbmIacute[SX=YJ[]ZOslashJUO H N H QR[]OOslashhZJUYZjf H Y^MeJNP^^Q H QR[]ONPf H JLhlZ YZIacutejY H O[ H centEgraveJXiacute[PhY[P[ HH JUO QcO [Ph^eJLh H [laquo[PJ HH MeJ_XqNPY H JUY H NPb H QUPJUacutebn[]O H []jeh(JUP[]fcj H QR[]O H [WNih^Y(NZaringQsOQZtimesjFZoslash[SX H MeJaumlbnhdQ H JLhQR[]OO^not QcONPfcfVmSe H MeJbn[UiNihQcNPObnJbZ N H hQk ^eJ H JLhZaringQcONPO H NiKKEgraveJUNihY H [ cent=JNrUPJLhYmhZJUfcJU~NPO HH [B[]fOX[PhMe[]ZOslash[S[PJUOeJL[]jYbn[]fR[PhiexclhZJ[]QR[]OYYZJ[]ZOslashJUO H N H Qc[]OO^gtMQcY H [[]fQcYYZjbLbnJUYZYXqjfcfVm NiKKfcQRJU^ H [XqNPbnJIacute^eJ H JUb H Qc[]O []OhZJUNPfUBQc^JL[aringYJjJUObnJUY^MeJa^eJ H NPQcfcJU^ [UPJLhYUBQcJW []O hZJ[]QR[]OeVcentNPYJU^ NiKKhZ[]NPbMJUY QsYaringKhZ[PKEgrave[]YJU^ QcOG JUb^ eshyWMQcfRJOslash[]jeh0jfRJLhdQcNPOumlXiacutehNSZOslashJWF[PhY`uml5_0 Uacute_ cent G QcYauml^JUYZbnhQRcentEgraveJU^QcO G JUb^^MQcY|XhdNSZOslashJWNtilde[Phl` QcY H MeJUONiKKfcQRJU^ H [ H MJjOYZjeKEgraveJLhYUWQcYJU^aringYJ[]ZaringJUO H N H QR[]O[SXMe[]Zaring[S[PJUOeJL[]jYIacutehZJ[]QR[]OYIacutejYZQcO[ H MJregUiNihQcNPObnJ QsO G JUb^lt`NPO^ H MeJ bn[U~NihQsNPObnJZaringN H hdQk ^eJ H JLhZaringQcONPO H QcO G JUb^gtmacr^

degEplusmnyLMgtsup2Qsup32acutemicromiddotparaJcedilJacutemicrosup1acuteIKJordmcedilIltN paraJcedilJacutewMraquo Jfrac14ltacutefrac34frac12oLJMgtIiquest acuteAgravegtT2MgtIAacutelAcirclaquocedilFAtildeacuteNAumlfrac12R]JT13Aringgtacutesup1AEligMgtIKJMgtPltLAtildeJUbnJUO H fVmSeZaringNPOmNPj H Me[PhdYtimesMNUPJKhZ[PKEgrave[]YJU^NwWNm[SXNP^^QcOF[hZJ[]QR[]OWVcent-NPYJU^H JLhlZ YQcO H MJTJUP[]fcj H Qc[]O JjN H QR[]Ow[P[UPJLhOQcOF[ NPb H QVUPJtimesbn[]O H []jehdY Xiacute[PhiexclYJ[]ZaringJUOWVH N H QR[]O QsYZYZjeJUY^QMeJ KhZ[PcentfcJZ Y H N H JZaringJUO H QsYhY H KhZJUYJUO H JU^NPO^ H MeJUO H MeJY H N H JnV[SXV H MeJnV4Nih H QcY^J H NPQcfRJU^O^ ^f^bCcedil_EgraveKEacuteltEcircgtEumlIgraveFIacuteIumlIcircETHOgraveNtildeFETHIgraveFIacute5IgraveFOacuteETHiexclJLhZJSeOcircWFJa^eJUYZbnhdQRcentEgraveJ H MJ JjN H Qc[]OYaringNP^^ehJUYZYZQcO[ H MeJ`QcYZYZjeJ[SX H MeJYJ[]ZaringJUOWVH N H QR[]O[SX NPOQCZaringN[PJxOtilde QsO H WNtilde[ hZJ[]Qc[]OY^iexclgJ H jYeuml^eJOeJrOumlcopytimesOslash H MeJhJ[]QR[]Obn[]O H NPQcOQcOF[ H MeJ[Pcent~5JUb H Y H [YZJ[]ZOslashJUO H NPO^ OumluUgraveUcircUacuteUuml H MeJeumlcentNPbY`[PhZ[]jO^ hJ[]QR[]OO^MJUQRhFbn[]ZregZOslash[]O centEgrave[]jO^NihlmaringQcY(Oe[ H JU^YacuteOcirc^F9J H jY(bn[]OYZQc^JLhNPOaNPb H QVUPJaumlbn[]O H []jhYacuteadTHORN]szligYagravejaacuteacirca2atildeadTHORN]szligYagravejszligaumlOadTHORNOgraveszligYagravejje]WMeJLhZJuTHORNuZaringNmTcentEgraveJ H MeJ(NihbNtildefcJUO[ H Mtimes[SX H MeJbn[]O H []jhNPO^umlagraveQsYOtildeNPOJUP[]fcj H QR[]OeumlK-NihNSZOslashJ H JLh^shyMeJOslashNPb H QVUPJ bn[]O H []jehIacuteNiKKhZ[]NPbMpoundZ N`PJUYYacuteadTHORN]szligYagravejJUP[]fVUPJ H MehZ[]j[]M H MeJ|Xiacute[]fcfR[WQcO[K-Nih H QcNPf^Q=JLhJUO H QcNPf]JjN H Qc[]Ooa5copyjaringaelig YacuteadTHORNOgraveszligYagravejaelig agrave aacuteegraveccedilyeacuteecircaacuteegraveeuml WQ H MigraveYacuteaagraveregaacute s j|aacuteegraveYacuteshyiacute afjWMJLhZJfrac34YacuteltiacuteaQcY NPO QsOQ H QcNPfbLjhYUPJ ^JOeJU^centm H MeJeumljYJLhNPO^egraveeacute H MeJ QsOOgraveWNih^Oe[PhZaringNPfUPJUb H [PhOtilde[SX|YacuteadTHORN]szligYagravej^MeJUPJUfR[WbLQ H mfrac34ccedil QcY^eJLhQUPJU^wXiacutehZ[]Z NZaringQsOQZaringQVcurrenUQsO[

uumlnyacute|thornLyuml13 2

$amp)(+-)013021+345627893lt=gt9A6CBbnhQ H JLhQR[]O NPO^ QsY bdMe[]YJUO Y[ H MN H H MeJ YZ[]fcj H QR[]OicircYacuteaUcirciumlVszligYagravej bn[]OUPJLhY[PJUY H [ H MeJ[Pcent~JUb H centEgrave[]jO^NihYmSeYacuteaUcirciumlethjeNPY_agraveregntildeoacuteograveicirc^5ObLfcNPYYZQcbLNPfcentEgrave[]jO^NihYmVcent-NPYJU^ZOslashJ H Me[W^Ya)v(NPYJUfcfRJUY(J H NPfd^VeshyfhSh]zg_`NPfcfcNP^QJ H NPfd^VelaquofhShSmacr]je H MeJsup1UPJUfc[BbLQ H m XqjOb H QR[]OHccedil QsY`^eJLhdQVUPJU^XiacutehZ[]ZCNPOJUOeJLhY[Smacircocirc^eJLKEgraveJUO^QcO[T[]O H MeJOtildecentEgrave[]jO^NihlmYacuteOcircaring

ocircOgraveotilde UgraveUacute OslashoumlYdivideloslashugrave aYacuteQj|aacute uacuteucircyacuteuumlgtthorn otilde)yuml THORN a jWMJLhZJ_uuml thorn otilde)yuml QcYNtildeNyXqjOb H Qc[]O ^eJUYZbnhdQRcentQcO[ H MeJiexclcentEgrave[]jO^NihYmtimes[SX H MeJiexcl[Pcent~JUb H ^vNPYZJUfcfRJUYJ H NPf_a)vNPYJUfsfRJUYaumlJ H NPfd^VefhSh]zSjIacutebM[[]YJ H MeJregXqjOb H Qc[]Obuuml thorn otilde)yuml aacuteKa ordmOtilde jyWMeJLhZJtaring s szliggograve8ntilde Otilde 13 QcYiexclN Y H hdQcb H fVm ^eJUbnhZJUNPYZQsO[XqjOb H Qc[]OaY[ H MN H a]juntilde s NPYgntildeoacuteograveicirc^SMeJFbn[]ZOslashKj H N H Qc[]OIacute[SX H MeJUPJUfc[BbLQ H mccedilicircXiacutehZ[]Z H MJFbnhQ H JLhQR[]Oa j9QsYOe[WWFJUfcfO`WOe[WiexclOsup1a)vNPYJUfsfRJUYJ H NPfd^VeltfhSh]zSjiexclNPO^`fRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[OslashJUP[]fcj H QR[]OJBjN H QR[]OOaring aelig Yacuteaelig agrave aacuteFuuml thorn otilde)yuml uuml thorn otilde)yuml eacute13eacute ad]jWMJLhZJ QcY H MeJaumlbLjehYUiN H jehZJOtilde[SXYacuteaagravej^iexcl[WFJUPJLhecent=[ H MaringhZJ[]QR[]OYOcircOumlcopytimesOslashtimesNPO^Ouml UgraveUcircUacuteUuml ZaringNmtimesMNUPJiexcl^QV=JLhZJUO H KhZ[PKEgraveJLh H QRJUYamp[SXH Jk H jehZJSeiMe[]ZOslash[S[PJUOeJUQ H mtimes[PhZaring[ H QR[]O H MN H bLNPOOe[ H cent=JQcObLfsj^eJU^aumlQcO H MeJXiacutejOb H QR[]Ouuml thorn otilde)yuml ^ G [ H MeJoZaringNPQcOOacuteKjehZKEgrave[]YJaring[SX(hJ[]QR[]OWVcentNPYJU^7NiKKh[]NPbMeJUYaeligQcY H [ QcO H hZ[W^jbnJYZjbM Nx[]fR[PcentNPfUacuteQcOXiacute[PhlZaringN H QR[]O QcO H MeJ UPJUfR[WbLQ H m XiacutejOb H QR[]Oicircccedil QcO NP^^Q H QR[]O H [H MeJeumlfR[WbLNPfiexclQsOX[PhZaringN H QR[]OKhZ[UWQc^eJU^ centm cent=[]jO^NihYmVcentNPYJU^ H JLhlZaringY^copyMeJZaringNPQcOBjeJUY H QR[]OeiQsOIacute[Phd^eJLh H [~jY H QVX2m H MeJQcO H hZ[W^jb H QR[]OIacute[SX H MJUYJ(hZJ[]QR[]O H JLhlZ Ye]QcY H [^eJLhdQVUPJ H MeJuUPJUfR[WbLQ H mlaquoXqjOb H QR[]OlaquoXiacutehZ[]ZNPOOslashJUOeJLhl[SmS^Ograve9[IacuteYJ H Nordf[PJUOeJLhNPfFXhNSZaringJWNtilde[PhY`NPO^ H [Oslashbn[]ZOslashKNihZJ H MeJUacute^QEgraveJLhZJUO H NiKKhZ[]NPbMeJUYFKh[PK=[]YZJU^ QcO H MeJUacutefcQ H JLhN H jhZJSeWFJOe[W QcO H hZ[W^jbnJ Nw[PJUOeJLhNPfNtildebnhQ H JLhQR[]ObXh[]ZigraveWMQsbM H MeJUPJUfR[WbLQ H mpoundZaringN[]OQ H j^eJZaringNmcent=JOtilde^eJLhdQVUPJU^Oaring

ocircOcircadOumlutimes OslashgtszliglOuml UgraveUcircUacuteUuml szligYYacuteQjbaacute uumlgtthorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszliglOuml UgraveUcircUacuteUuml j atilde auml $ uumlgtthorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashFj atilde aumlamp uacuteucirc uumlgtthorn otilde)yuml a2atildeltszligaumlj THORN a2jWMJLhZJyuuml thorn UgraveUcircUacuteUuml yuml QcYONSZaringJU^ H MeJwn^JUYZbnhQRK H [PhpOslash[SX H MeJaumlcentNPbl`[PhZ[]jO^ hZJ[]QR[]Oegtuuml thorn timesOslash yumlH MeJsup1n^eJUYZbnhQRK H [Phlp[SX H MeJaring[Pcent~JUb H hZJ[]Qc[]ONPO^buuml thorn otilde)yuml H MeJsup1n^eJUYZbnhQRK H [Phlp [SX H MeJbn[]O H []jeh^MJOslashhZJ[]QR[]O^eJUYZbnhdQRK H [PhYordfZaringNm`centEgraveJlaquo[]fR[PcentNPfsfVm`N HH NPbdMeJU^ H [ H MJUQRhOtildehZJnVYKEgraveJUb H QVUPJOslashhJ[]QR[]OYeOumlcopytimesOslasha[PhOuml UgraveUcircUacuteUuml e9NPO^Y[^eJLKEgraveJUO^euml[]O H MeJZ aqQVXFY[e H MeJmNihZJbLNPfcfcJU^pihJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhYYpOgravej^ H MNiKK=JUOYshyWMJUOtimesY H N H QcY H QcbLNPfXiacuteJUN~VH jehJUYg[SXNhJ[]QR[]OTfcQ`PJSeXiacute[Ph9JkeNSZOslashKfRJSe H MeJZOslashJUNPOIacute[Ph H MJ|UiNihQcNPObnJSe~NihZJNtildeYJUfcJUb H JU^NPY(hJ[]QR[]O^eJUYZbnhdQRK H [PhY^MeJ`K-jehZKEgrave[]YJ [SXIacuteNPfcfhZJ[]QR[]OeVcentNPYJU^ NPb H QVUPJOacutebn[]O H []jehYwZOslashJ H Me[W^YQcY H MeJUOH [poundZaringN`PJ H MeJaNPb H QVUPJabn[]O H []jeh JUP[]fVUPJ H [WNih^Y NeumlKNih H Q H Qc[]O[SX H MeJ`QZaringN[PJSeadOumluUgraveUcircUacuteUumlszliglOuml timesOslash szligYYacuteQje H MN H ZaringQcOQZ QVcurrenLJUY H MeJTbnhQ H JLhdQR[]Opounda2j^

uumlnyacute|thornLyuml13 (

yenKbrvbarsect =4 acirc $ macr ^ ^)+ltIgraveFEgrave-+13IgraveigraveEacute10Igrave22IcircETH313Oacute4 EgraveOIgrave54EacuteshyOacute76EcircgtNtildeltIcircIgrave8 Iacute_IgraveETH39ltEacute8QIcircshyIcirclt2Oacute4Ntilde=KETH3gt+ltIgrave=EacuteshyOacuteshyETHEacute1EgraveIcirc MQcfRJiexclNPONPfVmWYZQcO[aumlhJ[]QR[]OWVcentNPYJU^ NPb H QVUPJUacutebn[]O H []jhYNiKKhZ[]NPbdMeJUYeWNtildeJ5ZaringNm bn[]OWVYZQs^eJLh H MehZJLJyZaringNPQsO QZOslashKEgrave[Ph H NPO H K=[]QsO H Yaring MN H NihJ H MeJT^QV=JLhZJUO H ^eJUYZbnhdQRK H [PhY(jYZJU^BA iexcl[WQcY^eJLhdQVUPJU^ H MeJaumlJUP[]fcj H QR[]O JBjN H QR[]OXiacutehZ[]Z H MeJaumlbnhdQ H JLhQR[]OCA iexcl[WQcYQZaringKfRJZOslashJUO H JU^ H MeJaumlNPb H QVUPJtimesbn[]O H []jehANtildeQR[]OeJLJLhcopyWF[PhY`BY(MNUPJaumlcentEgraveJLJUO KhZ[PKEgrave[]YJU^ centma)vF[]MeJUOJ H NPfd^VefhShSgt[]OXqNih^OefhShj^5ONPOJUNihdfVmpoundWF[PhY`gte|vF[]MJUOJ H NPfd^ua)vF[]MeJUO7J H NPfd^VeufhShS]jIacuteKhZJUYZJUO H NYZjhYXiacuteNPbnJ$hJUbn[]OY H hjb H Qc[]OgZOslashJ H Me[W^TjYQcO[hZJ[]QR[]OWVcent-NPYJU^aumlNPb H QVUPJFbn[]O H []jehdY^MJmbn[]ZOslashK-j H J H MeJUPJUfR[WbLQ H mpoundUPJUb H [Phaelig[SXNPO7NPb H QVUPJ bn[]O H []jhXiacutehZ[]Z H MeJZaringQsOQZaringQVcurrenUN~VH QR[]O[SXampNOslashbnhQ H JLhdQR[]OQcObLfcj^QcO[aumlhZJ[]Qc[]OWVcentNPYJU^ H JLhZaringY^ Oe[ H MeJLh(KQR[]OJLJLhuWNtilde[PhY`MNPYaumlcent=JLJUOK=JLhlX[PhlZaringJU^QcO a[]OXqNih^OeOcircfhShj^iexclJ NPYZYJUYZYZJUY H MN HTH MeJUPJUfR[WbLQ H mXqjOb H QR[]O YZMe[]jfc^aringcent=JKhZ[PKEgrave[Ph H QR[]ONPf H [ H MeJUacute^QEgraveJLhZJUObnJ[SXgY H N H QcY H QcbLNPfXJUN H jehJUYaringccedilaacute uuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml eOgraveWMJLhZJ_uuml thorn timesOslash yuml QsY0NaumlY H N H QsY H QcbLNPfKZOslash[B^JUfe[SX H MeJ[Pcent~JUb H hJ[]QR[]ONPO^tuuml thorn UgraveUcircUacuteUuml yuml N Y H N H QcY H QcbLNPfshyZOslash[B^JUfEgrave[SX H MJaumlcentNPbY`[PhZ[]jO^ hZJ[]QR[]OO^

G []ZOslashJaumlNiKKhZ[]NPbdMeJUY(Kh[PK=[]YZJ H [ bn[]ZOslashKj H J H MeJOtildeJUP[]fsj H QR[]OJBjN H QR[]O [SX H MeJNPb H QVUPJtimesbn[]O H []jhUacutejYZQcO[ H MeJ hZJLJUOWVAiexclQRJZaringNPOO H MeJL[PhZJZ NPO^wNtildejfRJLhVAN[PhNPO[PJJBjN H QR[]OY^OEgraveMBjeumlNPO^frac340jQcfcfcJoa)EgraveMBjNPO^frac340jQcfcfcJSeltfhShS]jKhJUYJUO H NY H N H QcY H QcbLNPfXiacutehNSZOslashJWF[PhY`poundXiacute[PhOslashQZaringN[PJYJ[]ZOslashJUO H N H QR[]OjYZQsO[aNPONPfV[P[PhQ H MZbLNPfsfRJU^n5hJ[]QR[]Obn[]ZOslashKEgraveJ H Q H Qc[]OFp^MeJm^eJLhQVUPJ H MeJeumlNPb H QVUPJbn[]O H []jehJUP[]fcj H QR[]O JBjN H QR[]O centmZaringQsOQZaringQVcurrenUQsO[aringNo[PJUOeJLhNPfcQVcurrenLJU^XNmPJUYDi_wiexcl bnhQ H JLhdQR[]O`QsOYKQRhJU^centm H MeJaring_`jFZaeligVXiacute[Ph^OacuteNPO^ G MNPMJUOeJLhY[Smicircaw_ajFZX[Ph^7NPO^ G MNPMOefhSiSh]j^OcircMeJmKhZ[PKEgrave[]YJ H MeJXiacute[]fcfR[WQcO[aelig^eJUYZbnhQcK H [PhYcopyXiacute[Ph H MeJaumlYJ[]ZaringJUO H N H QR[]O`[SXampY H QcfcfQZ N[PJUYaringEFG FH uuml thorn UgraveUcircUacuteUuml yuml aacute JILK NMregaOtildeKa2atildeshyszligaumlFjPORQ UgraveUcircUacuteUuml juuml thorn timesOslash yuml aacute JILK NMregaOtildeKa2atildeshyszligaumlFjPORQtimesOslashjuuml thorn otilde)yuml aacuteTS admacr]jWMJLhZJUMrega)j9QcY9NiexclKhZ[Pcent-NicentQcfcQ H m^JUOYZQ H m5XqjOb H Qc[]OOeQshytimesNihZJ H MJNtildeKNihdNSZOslashJ H JLhY[SX H MeJ^QsY H hQRcentj H QR[]OX[Ph H MeJaelighZJ[]Qc[]OBVNPO^CSQcYUacuteN KEgrave[]YZQ H QUPJIacutebn[]OY H NPO H ^ not [PhaumlQcfsfcjY H hN~VH QR[]OYe H MeJNPj H Me[PhdYybn[]OYZQc^JLh NPjYZYZQsNPOOslash^QcY H hQccentj H QR[]OYbMNihdNPb H JLhQVcurrenLJU^ centm H WF[KNihdNSZOslashJ H JLhYe H MeJZaringJUNPOIacuteNPO^ H MeJ|UiNihQcNPObnJS^ q ObnJ H MeJWQtimeskWJU^Oe H MeJ0JUP[]fcj H QR[]OJBjN H QR[]O[SXNPONPb H QVUPJ bn[]O H []jhaeligQsYIacutebn[]ZOslashK-j H JU^NPO^^QchZJUb H fVm^eJLhQUPJU^poundXiacutehZ[]ZH MeJbnhdQ H JLhQR[]OO^SMJbLfcNPYZYZQcbLNPfe^JLhQVUiN H QVUPJ([SX H MJ(cent=[]jO^NihYmVcentNPYJU^ H JLhlZ fRJUNP^YH [ H MeJtNtildejbLfcQc^QcNPOpound[PJL[]ZOslashJ H hdQcbMeJUN HYX [Wg^OcircMeJ ^eJLhdQVU~N H QUPJ [SXiexclhZJ[]QR[]OWVcent-NPYJU^H JLhlZ Y QcY H MJUOKEgraveJLhYXiacute[PhlZOslashJU^jYQcO[ H MeJ hZJLJUOWVAQcJZaringNPOO H MeJL[PhJZ NPO^ H MeJNtildejfRJLhVAN[PhNPO[PJaJBjN H QR[]OY^5O^eJLJU^e H MeJeumlbn[]ZOslashKj H N H Qc[]O [SX H MeJaJUP[]fcj H QR[]OJBjN H QR[]OQsYK=JLhlX[PhlZaringJU^ QcO H MehZJLJyZ NPQcO Y H JLKYaringf^Q9hNPOYX[PhZaringN H QR[]Oeuml[SX^e[]ZaringNPQcOQcO H J[PhNPfcYTQcO H [ centEgrave[]jO^NihYmaQcO H J[PhNPfcYTjYZQcO[

H MeJ hZJLJUOeVAQRJZaringNPOO H MeJL[PhZJZ^

uumlnyacute|thornLyuml13

$amp)(+-)013021+345627893lt=gt9A6CB ^vF[]ZOslashKj H N H Qc[]O [SX H MJy0jfcJLhVA9N[PhNPOF[PJOtildeJjN H Qc[]OY^ltO H hZ[W^jb H QR[]O[SXiexclNeuml^mWONSZaringQcbLNPfFYZbdMeJZOslashJ QcO H MeJ0jfRJLhZVA9N[PhNPO[PJ JBjN~V

H QR[]OYQcO [Ph^eJLh H [aeligbn[]ZaringKj H J H MeJ5UPJUfR[BbLQ H mregUPJUb H [Ph[SX H MeJOtildeNPb H QVUPJOtildebn[]O H []jh^MJ UPJUfR[WbLQ H mXiacutejOb H QR[]OoccedilQsY H MJUO bn[]ZaringKj H JU^NPO^Q H fcJUNP^Y H [ H MJ5Xiacute[]fcfR[WQcO[JUP[]fcj H QR[]OJjN H QR[]OOaring aelig Yacuteaelig agrave aacuteacircaduuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml S jeacute ad]jWMJLhZJ QsY H MeJ bLjehlU~N H jehJaring[SXuYacuteaagravej^5O[Ph^eJLh H [aQZOslashK-fRJZOslashJUO HOtildeH MQcYordf|iexcl eNN[PhNPO[]QcNPOXiacute[PhlZtimesjfcN H QR[]O QsY(jYJU^O^JUbnJUO H fmSeampNihN[]Qc[]YNPO^frac34JLhQcbdMeJaNihdN[]QR[]YOtildeNPO^iexclJLhdQcbMeJSefhShSh]jegMNUPJKh[PK=[]YZJU^ NPOJk H JUOYZQc[]O[SX H MeJordfWF[PhY` [SXOcircEgraveMBjNPO^o0jQcfcfcJcentm QZOslashKhZ[UWQcO[ H MeJ^eJUYbnhQRK H [Phaelig[SX H MJbn[]O H []jeh QcO7[Ph^eJLh H [QcObn[PhK=[PhdN H J H MJQCZaringN[PJ[PhNP^QRJUO HNPYiexclQcO[PJL[W^eJUYZQcbIacuteNPb H QVUPJtimesbn[]O H []jehY^gtMeJTJUP[]fcj H QR[]OaJjN H Qc[]OaQcYiexclQZOslashKfRJZaringJUO H JU^jYQcO[ H MeJ(fRJUPJUfBYJ H ZOslashJ H Me[W^aeligQcO H hZ[B^jbnJU^aumlcentm q YZMJLhNPO^ G J H MQcNPOoa q YZMeJLh$NPO^G J H MQcNPOOeltfhSiSi_aNPfcfsNP^Q9J H NPfd^VefhShSmacr G J H MQcNPOOeltfhShS]j^ UPJLhYm QcO H JLhJUY H QcO[KNih H [SX H MQsYyWF[PhY`Oacutebn[]ObnJLhdOY H MeJ QsO H hZ[W^jb H Qc[]O[SXY[]ZOslashJ^eJUYZbnhdQRK H [PhYlaquouuml thorn timesOslash yumlNPO^uuml thorn UgraveUcircUacuteUuml yuml X[PhNiKKfcQsbLN H QR[]OYfcQV`PJ H Jk H jehZJFYJ[]ZOslashJUO H N H QR[]OtimesNPO^gZOslash[UBQcOF[[Pcent~JUb H Y^eJ H JUb H Qc[]OO^

G []ZOslashJT[ H MeJLhUacuteNiKKh[]NPbMeJUYlaquoa)vMN`BhNicentEgrave[Ph H mJ H NPfd^VeltfhShSvMeJUYONPj^ J H NPfd^VefhShSh]j9KhZ[PKEgrave[]YJ H [OtildebMe[B[]YJ(N H JUNPbdMOslashY H JLK H MeJ^QcYKfsNPbnJZOslashJUO H [SX H MeJNPb H QVUPJ(bn[]OWVH []jeh H MN H ZaringN`PJUY H MeJybnhQ H JLhQc[]OOtilde^eJUbnhZJUNPYJS^SvMN`BhNicentEgrave[Ph H miexclJ H NPfd^a)vMN`hNicentEgrave[Ph H mJ H NPfd^VecopyfhShS]jtimesQcO H h[B^jbnJ N`hZJ[]QR[]OWVcentNPYZJU^7NiKKhZ[]NPbMxXiacute[Ph H MeJ YZJ[]ZOslashJUO H N H Qc[]O[SXQZOslashJU^QcbLNPfQZ N[PJUY^ iexclYQcOeKj H [SX H MJUQRhNPfV[P[PhQ H MZe H MeJm bn[]OYQc^eJLh(centEgrave[ H M H MeJNPb H jNPf9QZaringN[PJgOtilde NPO^ H MeJOtildehZJ[]QR[]OWV4bLfsNPYZYZQVJU^ QCZaringN[PJgOtildeoslash^FMeJOtildebLfcNPYZYZQVJU^ QZaringN[PJOtilde oslash QcYiexclbn[]ZOslashKj H JU^`centmwZaringNkeQZaringQVcurrenUQcOF[ H MeJTKEgrave[]Y H JLhQc[Ph^QsY H hQRcentj H QR[]O [SX H MeJThJ[]QR[]OfcNicentEgraveJUfcY[]QUPJUO H MeJQcO H JUOYZQ H maeligQZaringN[PJS^MeJUQRh0hZJ[]QR[]O H JLhlZ JUOXiacute[PhbnJUY H MJcentEgrave[]jO^WVNihYm H [JUObLfc[]YJaringNYZQcOF[]fRJaelighZJ[]QR[]OQcOumlOtildeoslash^MeJaring^JUYZbnhQRK H [PhdYOtildeNihZJ H MeJXiacute[]fcfR[WQcO[WQ H M H MeJauml^QEgraveJLhZJUObnJ H MN HH MeJmWFNPO HH [regZaringNkeQZaringQcurrenLJ H MJTbnhQ H JLhQc[]OocircaringEFG FH uuml thorn UgraveUacuteUuml yuml aacute[Z] Otilde oslash a2atildeltszligaumljuuml thorn times Oslash yuml aacute suuml thorn otilde)yuml aacute[Z cent Otilde_^Ogravea2atildeshyszligaumlFj a)zSjWMJLhZJ]Z NPO^`Z cent NihZJ H WNtilde[7KEgrave[]YZQ H QVUPJbn[]OY H NPO H YNPO^ Otilde_^aQcY H MeJfrac34[PhNP^QRJUO HQZ N[PJS^ KhQc[PhYMNiKEgraveJ H JLhZDQcY(NPfcY[OslashNP^^eJU^ H [ H MJaumlbnhQ H JLhQR[]OeWiexclMQcbMbLNPO centEgraveJQcO H JLhZJUY H QsO[gXiacute[PhZOslashJU^QcbLNPf-QCZaringN[]QcO[gWiexclMeJLhZJ H MJiexclON H jehJ[SX H MeJYZMNiKEgraveJiexcl^[JUYFOe[ HbdMNPO[PJNaumlfc[ H Xh[]Z2QcO^QUBQc^jNPf H [TQsO^QVUWQc^jNPf)^MeJUOeiNPYNtildeQcOwa)EgraveMBjaringNPO^ordm0jQcfcfRJSefhShS]je H MeJWMe[]fRJaumlKhZ[PcentfRJZ QsY(hZJU^jbnJU^ H [ bn[]ZaringKj H QcO[ cent=[]jO^NihYm QcO H J[PhdNPfcYH MNPOF`BY H [ H MeJ hZJLJUOWVAQcJZaringNPOO H MeJL[PhZJZte(hN H MeJLh H MNPO centEgrave[ H M centEgrave[]jO^NihYmNPO^ ^[]ZaringNPQcO QcO H J[PhNPfcY^yacuteMeJQZOslashKfRJZaringJUO H N H QR[]O [SX H MeJNPb H QVUPJ7bn[]O H []jhaQcOa)vMN`hNicentEgrave[Ph H mJ H NPfd^Ve fhShS]jaringQcYaring^e[]OeJacentmjYZQcOF[N not []jehQcJLharingKNihNSZOslashJ H JLhdQVcurrenUN~VH QR[]O^yacuteMeJJkWKhZJUYZYZQc[]O [SX H MeJumlUPJUfR[WbLQ H mAumlUPJUb H [Ph [SX H MeJOacuteNPb H QVUPJ7bn[]O H []jeh QcY

uumlnyacute|thornLyuml13 a

yenKbrvbarsect =4 acirc $ zOe[ H bn[]ZOslashKj H JU^OeNtildecentj HOslashH MeJ bnhQ H JLhQc[]OQcYaringQcO H hZ[W^jbnJU^NPO^ OBjFZOslashJLhQcbLNPfsfVmOacuteJUiNPfuVjN H JU^ QsO [Ph^eJLh H [ ZaringNkeQZaringQVcurrenLJQ H ^ JbLNPO Oe[ H J H MN HH MJeumlNPj H Me[PhYMNUPJKh[PK=[]YZJU^ NlaquoUPJLhYm QcO H JLhZJUY H QcO[aeligJk H JUOYZQR[]O [SX H MQcYWNtilde[Phl` jYQcO[ H MJ5[]NSZaringJ H MeJnV[PhYma)vMN`BhNicentEgrave[Ph H m NPO^jObLNPOOeOfhShSh]j^J[]Qc[]O NPO^ cent=[]jO^NihYmOslashbnhQ H JLhdQR[]OYNihZJYJLKNihdN H JU^OePcentj H JUNPbMaringbnhQ H JLhQR[]Otimesbn[]O H NPQcOY$NPOtimesQsO H JLhNPb H Qc[]OlaquoWQ H M H MeJ[ H MeJLh^ Y H MJ_[]NSZOslashJKhZ[S[PhJUYZYJUYeBcentEgrave[ H MZOslash[W^jfcJUYyQZOslashKh[UPJ H MeJUQRh0KEgrave[]YZQ H QR[]OY H MhZ[]j[]MZtimesj H jNPfQcOFX[PhlZ N H QR[]O YZMNihQsO[^

Oe[ H MeJLhIacuteYZQZaringQcfsNihUacuteNiKKhZ[]NPbMMNPYaumlcentEgraveJLJUOQcO H hZ[W^jbnJU^eumlcentmbvMeJUYZONPj^eumlJ H NPfd^a)vMJUYZONPj^ J H NPfd^VefhShSh]j^FMeJUQchNtilde^eJUYZbnhdQRK H [PhYFNihZJhZJnVJU~NPfsjN H JU^ JUNPbM H QZOslashJUacuteNKEgrave[]QcO H [SX H MJNPb H QVUPJbn[]O H []jehFJUP[]fVUPJUY0YZQsObnJ H MeJUQRh0^JUYZbnhQRK H [PhdY$NihZJY H N H QcY H QcbLNPfXiacuteJUN H jehZJUYOtilde[SX H MeJ QZaringN[PJordm[]fR[PcentNPfsfVm`N HH NPbdMeJU^ H [ H MeJOslashJUP[]fVUWQcO[ hZJ[]Qc[]OY^shyMJmbdMe[[]YZJ H MeJ`hNPO^e[]Z ^QcYKfsNPbnJZOslashJUO H [SXaumlNOacutebn[]OYZQs^eJLhZJU^ KEgrave[]QcO H [SX H MeJ NPb H QVUPJbn[]O H []jehOslashY[ H MN HIacuteH MJ bnhQ H JLhQR[]O7^eJUbnhZJUNPYJUY^$ _X H JLhaeligJUNPbdM ^QcYKfsNPbnJZOslashJUO H [SXNKEgrave[]QcO H [SX H MeJIacuteNPb H QVUPJIacutebn[]O H []jehe H MJT^eJUYZbnhQcK H [PhY(NihZJOtildehZJnV4bn[]ZaringKj H JU^O^

fcN H JLh NiKKhZ[]NPbdM MNPYaringcentEgraveJLJUOQcO H hZ[W^jbnJU^ centm G NSZaringY[]O J H NPfd^_a G NSZ Y[]OJ H NPfd^Ve sSsSs jyacuteXiacute[PhOtildebLfcNPYZYZQbLN H QR[]OaNPO^acentmvMNPO NPO^frac34$JUYJa)vMNPOeumlNPO^frac34$JUYJSesSs fjX[PhaYZJ[]ZOslashJUO H N H Qc[]O [SXaeligY H QcfcfOtildeQZ N[PJUY^yacuteMeJm KhZ[PKEgrave[]YJ H [JZIacutecentEgraveJU^ H MeJbnhQ H JLhQR[]O ^QRhZJUb H fVm`QcO H MJaeligfcJUPJUf$YJ H X[PhlZtimesjfcN H Qc[]OO^Ov(MNPOeumlNPO^$JUYJOslashKhZ[PKEgrave[]YJH MeJordfXiacute[]fcfR[WQcO[Oslash^eJUYbnhQRK H [PhYaringEFG FH uuml thorn UgraveUcircUacuteUuml yuml aacutecb7d Otilde e f centUhguuml thorn timesOslash yuml aacutecb cent Otilde e cent centuuml thorn otilde)yuml aacuteiS adi]jWQ H M e H MeJ NUPJLhN[PJ[SXgOtildeQcOicircOuml timesOslash e e cent H MJ`NUPJLhdN[PJ[SXgOtilde7QsO OumluUgraveUcircUacuteUuml^MeJUYJH WNtilde[ UiNPfcjeJUY NihZJhJnVJUY H QZaringN H JU^ ^jehQcO[ H MeJKhZ[PK-N[]N H QR[]O [SX H MeJbLjhYUPJNPYH MeJaelighZJ[]Qc[]OYJUP[]fVUPJS^shyMeJtimesKNihNSZaringJ H JLhYjb e1b cent egeumlNPO^kSNihJaringY[]ZOslashJaeligKEgrave[]YZQ H QVUPJbn[]OY H NPO H Y^iexclJLhZJ H MJ fRJUPJUfFYJ H ZOslashJ H Me[W^QsYIacute^QchZJUb H fVmjYJU^OacutecentmhJLKhZJUYJUO H QcO[H MeJtimesbLjehYUPJlaquoYacuteaagravejNPY H MeJycurrenLJLhZ[fRJUPJUfampYJ H [SXyNQRKYZbdMQ H currenTbn[]O H QcOBje[]jY_XiacutejOb H QR[]Ol a2atildeshyszligaumlKszligYagravej^]MeJfRJUPJUfWYJ H XiacutejOb H QR[]O l QcYQsO H hZ[W^jbnJU^timesQcO H MeJbnhQ H JLhQc[]OUWQcN H MeJiexclJUNUWQcYZQc^JyacuteXiacutejOb H QR[]Onmra l j^MeJbnhQ H JLhQR[]O QcY H MeJUOoZaringQcOQZaringQVcurrenLJU^WQ H M hZJUYKEgraveJUb HH [ l jYZQcO[OslashNaelighZJ[]jfcNihQVcurrenLJU^UPJLhYQR[]O[SX H MJyZaringQcOQCZaringQVcurrenUN H QR[]O KhZ[PcentfcJZ JIacuteOe[ H JMeJLhJ H MN HFH MeJJUP[]fcj H QR[]OaringJBjN H QR[]O QcY0^QRhZJUb H fVmtimesJkBKhZJUYZYJU^regWQ H M H MJiexclfRJUPJUf-YJ HXqjOb H QR[]O NPO^ Oe[ H WQ H M H MJTbLjehYUPJgYacute|^

G []ZOslashJ[ H MeJLhWNtilde[Phl`BYeBjYZQcOF[auml^QcY H hQccentj H QR[]O H MeJL[PhYmSeBMNUPJcentEgraveJLJUOaringKh[PK=[]YZJU^OslashcentmJLcenthZJUjFUPJaJ H NPf)^_aJLcenthZJUjUPJ J H NPfd^Ve sSs fjXiacute[PhZaringJU^QcbLNPfQCZaringN[]QcO[NPO^ centm 5ZaringNP^QRJUjJ H NPfd^shyaq _Z NP^QRJUj J H NPf)^VeshyfhShSh]jcopyXiacute[PhcentjQsfc^QcO[times^eJ H JUb H QR[]OO^not QcONPfcfVmSe~hZJ[]QR[]OWVcentNPYZJU^aringNPb H QVUPJbn[]O H []jehYNtildeNihZJNPfcY[OtildeKEgrave[WFJLhYXqjf H [[]fsYX[PhNtildebLfcNPY5VYZQbLN H QR[]Opounda13yJcurrencurrenUQJ H NPfd^VeshyfhShSh]j[Ph_ZOslash[ H Qc[]O^eJ H JUb H QR[]Oxaw_aNPOYZ[]jehQgNPO^wcOtilde[]OWVhNP^efhShSh]j^MeJZ N~5[PhOtildebn[]O H hQRcentj H Qc[]Oa[SXy[]jh5WF[PhY`aQsY H [KhZ[PKEgrave[]YJaeligNo[PJUOeJLhNPfQXiacutehNSZOslashJnVWF[PhY`X[PhaumlhJ[]QR[]OWVcentNPYJU^OacuteNPb H QVUPJ bn[]O H []jehY H N`BQcOF[QcO H [NPbLbn[]jO HIacuteH MeJaringbLNPYJ [SX

hZJ[]Qc[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhY^OgraveMeJ UPJUfR[WbLQ H mordmUPJUb H [PhF[SX H MJiexclNPb H QVUPJUacutebn[]O H []jh

uumlnyacute|thornLyuml13 o

i $amp)(+-)013021+345627893lt=gt9A6CBQcYUacutebn[]ZOslashK-j H JU^centm`QcO H hZ[W^jbLQcO[N ^mWONSZaringQcbLNPfampYZbdMeJZOslashJaring^QchZJUb H fVm`QsO H MJaringbnhQ H JnVhQc[]O H [frac34ZaringQcOQZaringQVcurrenLJaeligNPYTQcO aJLcenthJUjUPJ J H NPfd^Ve sSs f 5ZaringNP^QcJUjJ H NPfd^VefhShSh]j^iexcl[WFJUPJLheWFJ KhZ[PKEgrave[]YJ MJLhZJ N OJW Xiacute[PhlZtimesjfcN H QR[]O7[SX H MJ^JLhQVUiN H QR[]OjYZQcO[YZMNiK=JIacute[PK H QZaringQcurrenUN H QR[]O H [B[]fcY^ Q H M YjbM NZaringJ H Me[B^egtWFJtimesNihJaeligNicent-fRJ H [hZJUNP^QsfVmH N`PJQcO H [NPbLbn[]jO HaringH MeJ bLNPYJ [SXhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhY H MN H U~NihYm^jhQcO[ H MeJ KhZ[PKN[]N H QR[]O[SX H MeJ NPb H QUPJ bn[]O H []jeh^MeJUYJ ^eJUYZbnhQRK H [PhYTMNUPJH [centEgraveJtimesbn[]OYZQc^eJLhZJU^ YZQcObnJ H MJmaNihZJlaquoWQc^eJUfmjYJU^X[PhOtildejOYZjeKEgraveJLhYUWQcYJU^YJ[]ZaringJUOWVH N H QR[]O^ not [Ph(YZjbdM hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYbnhQRK H [PhYeOgraveWFJiexclYZMe[W H MN H NP^^Q H QR[]ONPfH JLhlZ Y0NiKKEgraveJUNihNtildeQsO H MeJJUP[]fcj H QR[]OaringJBjN H QR[]O [SX H MeJiexclbLjehlUPJ H MN H MNUPJUacuteOe[ H centEgraveJLJUOKhJUBQR[]jYZfVm bn[]ZOslashK-j H JU^O^

pE paraOacuteOgraveJJTIshyAgravesup1cedilqoacuteIshyacuteLcedilsup3UrltLcedilgtmicrobacuteNsMgtLtrraquoML iquest acuteAgravegtT2MKIOAacutelAcirclaquocedilFAtildeacuteNfrac12oRSJT13AringKacutepoundAEligMKIKJMgtPltLAtildeq jhyZaringNPQcOb[P[]NPfFfsQRJUYTQcO H MeJ JUfsNicent=[PhdN H QR[]O[SXNfrac34[PJUOeJLhNPfXhdNSZOslashJWNtilde[Phl`umlX[Ph H MeJYJ[]ZaringJUO H N H QR[]O7[SXNPO7QZaringN[PJQcO H WF[euml^Q=JLhJUO H hZJ[]QR[]OYtimesjYZQcOF[hZJ[]QR[]OWVcent-NPYJU^NPb H QVUPJIacutebn[]O H []jehdY^ JOtildeKhZ[PKEgrave[]YJ H [ZaringQcOQZ QVcurrenLJ H MeJiexcl[PJUOeJLhdNPfgbnhQ H JLhQc[]O a2jWiexclMeJLhZJUacuteJUNPbM hJ[]QR[]OQcYamp^eJUYbnhQRcentEgraveJU^TjYQcO[UacuteN_XqjOb H Qc[]OtimesbLNPfsfRJU^ n^eJUYZbnhQRK H [Ph[SX H MeJhZJ[]QR[]Op^i YampKhZJUWQuV[]jYfVmOtilde^eJ H NPQcfRJU^OeNiexcl^eJUYbnhQRK H [PhQcY9N XiacutejOb H QR[]O H MN H ZOslashJUNPYZjhZJUY H MJNtildeMe[]ZOslash[S[PJUOJUQ H m[SXyN hZJ[]QR[]OO^Egrave_[]Y H [SXyhJUfRJU~NPO H Y H N H QcY H QcbLNPf^eJUYZbnhQcK H [PhY^JLK=JUO^ H MeJZaringYZJUfVUPJUY[]O H MeJOslashhJ[]QR[]OO^ G []ZOslashJOslashJkeNSZOslashKfRJUYOtildeNihJordm[]QVUPJUOQcO G JUb^shy^ macr^ not [PhTJkWNSZOslashK-fRJSe H MeJhZJ[]Qc[]Oa^eJUYZbnhdQRK H [Phordfuuml thorn timesOslash yuml bLNPO centEgraveJTbM[]YJUOeumlNPY H MJyUiNihQcNPObnJvu centtimesOslash [SX H MeJThJ[]QR[]OOumlcopytimesOslashFeWMQcbdM[]QVUPJUYaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashj|aacute[u centtimesOslash aacutexw$ aOtilde SOtimesOslashjUcirccent atilde aumlw$ atilde aumlWMJLhZJSOtimesOslash QcY H MJyZOslashJUNPO [SX H MeJaumlhJ[]QR[]OwOumlcopytimesOslash^ G jbMaNaring^eJUYZbnhQcK H [PhQcY(ONSZaringJU^aNn5hZJ[]Qc[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhlpOslashYZQcObnJaumlQ H ^eJLKEgraveJUO^YF[]O H MeJaumlhJ[]QR[]OwOuml timesOslash ^q ObnJ H MeJTbnhdQ H JLhQR[]O QcYQcO H h[B^jbnJU^OeWNtildeJTKhZ[PKEgrave[]YJ H [ bn[]ZaringKj H J H MeJTJUP[]fcjWVH QR[]OUacuteJBjN H QR[]OT[SX H MJ0bn[]O H []jh H MN H WQsfcfZaringN`PJ0Q H JUP[]fVUPJ H [WNih^YNyacuteZaringQcOQCZIacutejFZ[SX H MeJTbnhdQ H JLhQR[]OjYZQcO[OslashNaringOeJWH0jfcJLhQcNPOZOslashJ H Me[W^O^ H XqjO^NSZOslashJUO H NPfcfVm ^QEgraveJLhYXiacutehZ[]Z2[ H MJLhFNiKKhZ[]NPbMeJUYFYZQcObnJyacuteWNtildeJ_`PJLJLK H MJ Xiacute[PhlZIacutejfcN H QR[]Oaring[SXhJ[]QR[]OY0QsOY H JUNP^[SXyhJU^jbLQcO[ H MeJWiexclMe[]fRJTKhZ[PcentfRJZ H [ centEgrave[]jO^NihYm QcO H J[PhNPfcY^gtO^JLJU^OeWFJlaquohY HQcO H hZ[W^jbnJFNiexcl^mWONSZaringQsbLNPfYZbdMeJZOslashJ(QcO H MeJ(bnhQ H JLhQc[]OIacuteNPO^ H MeJUOWFJbn[]ZaringKj H J H MeJNtildejfRJLhQcNPO`^eJLhQVUiN H QVUPJaelig[SX H MJOslashJUP[]fVUBQsO[ bnhQ H JLhQR[]O`centm`jYZQsO[ YMNiKEgraveJIacute[PK H QCZaringQVcurrenUN~VH QR[]O KhQsObLQRKfRJUY^]MQcYZOslashJ H Me[W^ KhZ[UWQc^eJUY H MeJUacuteNP^U~NPO H N[PJ H MN HH MeJ5U~NihdQcN H QR[]O[SXehZJ[]Qc[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYbnhQRK H [PhYltWQ H M H MeJFJUP[]fcj H QR[]OIacute[SX H MeJNPb H QVUPJ(bn[]O H []jhbLNPO centEgraveJOtildehZJUNP^QcfVm H N`PJUO`QcO H [ NPbLbn[]jO H ^MeJTbn[]ZOslashKj H N H QR[]Oa[SX H MJTJUP[]fcj H Qc[]OaJBjN H QR[]O`[SX H MeJIacuteNPb H QUPJtimesbn[]O H []jehOtildeQcYKEgraveJLhYXiacute[PhlZOslashJU^QcO H MehJLJyZaringNPQcO Y H JLK-Yaring

uumlnyacute|thornLyuml13 y

yenKbrvbarsect =4 acirc $ hf^ltO H hZ[W^jb H QR[]O[SX$NOslash^mWONSZaringQcbLNPfYbMeJZOslashJSaring JTYJUNihbdMX[Ph H MeJOtildeKNih H Q H Qc[]O[SX H MeJaumlQZ N[PJadOumlcopytimesOslashszliglOuml UgraveUcircUacuteUuml szligYYacutejWMQcbdMZaringQcOQuVZaringQVcurrenLJUY H MeJbnhQ H JLhQR[]Oocirc|adOumlcopytimesOslashgtszliglOuml UgraveUcircUacuteUuml szligYYacutej^eJUYZbnhQRcentEgraveJU^aeligQcOa2j^ MQcfRJNPYZYZjZaringQcO[

H MN H NPO`[PK H QZaringNPf9KNih H Q H Qc[]O JkWQsY H Ye H MJTQcYZYZjJTQcY H [ bn[]ZOslashKj H J H MQcYiexclY[]fcjWVH QR[]OO^ G QsObnJ H MeJ YJ H [SX(NPfcfy^e[]ZaringNPQsOYaumlMNPYIacuteOe[ H NaY H hjb H jehZJOslash[SXcopyUPJUb H [PhQsNPfYKNPbnJSeQ H QcYauml^Qz bLjf HUacuteH [abn[]ZOslashKj H J H MeJ ^eJLhdQVU~N H QUPJOslash[SX H MJ bnhQ H JLhQc[]ONPb|Vbn[Ph^QcO[ H [ H MJ^e[]ZaringNPQsOY^_[ bLQchbLjFZUPJUO H H MQcY`KhZ[PcentfcJZeyacuteWFJNiKKfmN H hNPOYYX[PhlZ N H QR[]O| H [ JUNPbM^e[]ZaringNPQsOOeYZjbdM H MN H Q H centEgraveJUbn[]ZOslashJUY`bn[]OWVH QcOj[]jYZfVm^eJLKEgraveJUO^eJUO H []O NPO JUP[]fsj H QR[]O KNihNSZOslashJ H JLhagrave^MeJ`bnhQ H JLhQR[]Ocent=JUbn[]ZaringJUYT^eJLKEgraveJUO^eJUO H []Obagravearingocirc|aagravejgaacute ocirc|adOumlcopytimesOslashaagravejszliglOuml UgraveUcircUacuteUuml aagravejszligYYacuteaagravejj^QO H MQcY^mBONSZaringQcbLNPfTYbMeJZOslashJSeiexclWFJ bLNPO hJUNP^QcfVm H N`PJQcO H [ NPbLbn[]jO H N K=[]YYZQRcentfRJU~NihQsN H QR[]O[SX H MeJ ^eJUYZbnhdQRK H [PhYWQ H M H MeJJUP[]fVUWQcO[ hZJ[]QR[]OYk|adOuml times j aacuteOumlcopytimesaagravej^

^QiexclJLhdQVU~N H Qc[]O [SX H MeJaumlbnhQ H JLhQc[]O jYZQcO[OslashYZMNiK=JOtilde[PK H QZaringQVcurrenUN H QR[]O H MJL[PhZJZaringYaringMeJNtildebnhdQ H JLhQR[]OocircOcircaagravej9QcY H MeJUOIacute^JLhQVUPJU^TNPbLbn[Phd^QcO[ H [5agrave H MNPO`WY H [ H MeJFbn[]ZaeligVKj H N H QR[]Oeuml[SX H MeJ0jfRJLhQcNPOeuml^eJLhQU~N H QVUPJaelig[SX_ocircjYZQcO[YZMNiKEgraveJaelig[PK H QZ QVcurrenUN H QR[]OKhQcObLQcKfRJUYeOWMQcbMQcYIacuteOJWQsO H MeJNihZJUN [SXNPb H QVUPJ bn[]O H []jehY^$ YXqNihOslashNPYH MeJF^JLhQVUiN H QR[]OTQcYbn[]ObnJLhOeJU^e H MeJU~NihdQcN H QR[]OIacute[SX H MeJF^JUYZbnhQRK H [PhdYWQ H M H MeJJUP[]fVUBQsO[OslashhZJ[]QR[]OY_Oumlcopytimesaagravej(NPO^Y[ordmWQ H MagravetZIacutejY H centEgraveJ H N`PJUOaQcO H [aringNPbLbn[]jO H ^

^vF[]ZOslashKj H N H Qc[]O [SX H MJaumlJUP[]fcj H QR[]OJjN H Qc[]OXh[]Z H MeJauml^eJLhQU~N H QVUPJSaringnot hZ[]Z H MeJNtilde^JLhQVUiN H QVUPJSeWFJNtilde^eJU^jbnJ H MeJUPJUfR[WbLQ H mordfUPJUb H [Ph$[SX H MeJFNPb H QVUPJbn[]OWVH []jeh H MN H WiexclQcfcfZaringN`PJQ H JUP[]fUPJiexclNPYXqNPY H NPY$KEgrave[]YZYQRcentfRJ H [WNih^YNtildeNgZaringQcOQCZIacutejFZ[SX H MeJOtildebnhQ H JLhdQR[]OO^ObLNPYJUacute[SX9hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhYe H MeJUacuteJUP[]fcjWVH QR[]OeumlJjN H QR[]Oeuml[SX H MJaringNPb H QVUPJaringbn[]O H []jhTQcYOtilde^QEgraveJLhZJUO H XhZ[]Z H MJtimes[]OJaringbn[]ZaeligVKj H JU^ Xiacute[Ph hZJ[]QR[]OWV4QcO^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhY^ G []ZOslashJ`NP^^Q H QR[]ONPf H JLhZaringYNiKKEgraveJUNihiexclNPO^`Y[ Q H QcY[SX$KhdQZOslashJaumlOeJUbnJUYZYQ H m H [bn[]OYZQc^JLh H MeJ H WNtilde[o`WQcO^Y([SX^eJUYZbnhQRK H [PhY(YJLKNihN H JUfmS^

9J H jYFOe[ H J H MN HFH MQcY[PJUOeJLhNPfKXiacutehNSZOslashJWF[PhY` bLNPO centEgraveJNiKK-fcQRJU^ H [ordmZaringNPOm ^QEgraveJLhVJUO H NiKKfsQcbLN H QR[]OYcentm[]OfVmbMNPO[]QsO[ H MeJT^eJUYbnhQRK H [PhY^ H MNPYcentEgraveJLJUOOe[ H NicentfmNiKK-fcQRJU^ H [ordmZOslash[UBQsO[aelig[Pcent~5JUb H Y(^J H JUb H QR[]O QcOoUBQs^eJL[timesYZJjeJUObnJUY(NPbjQchZJU^ JUQ H MeJLhWQ H MN Y H N H QcbawS]JUMNPOWV4XFJUYZY[]O J H NPfd^Ve sSs fLbjiexcl[PhUacuteNregZOslash[Pcent-QcfRJTbLNSZOslashJLhdNawS]JUMNPOWVXFJUYZY[]O J H NPf)^Ve sSs fncentj^ JUYZbnhQRK H [PhdYoZ Nm NPfcY[centEgraveJ YJBjeJUO H QcNPfcfVm jYJU^ H [QZaringKhZ[UPJ H MeJu-ONPfBhZJUYZjf H NPYyQ H MNPYampcentEgraveJLJUOaeligKh[PK=[]YZJU^timesQsOtawSPJUMNPOWV4XFJUYZYZ[]OOslashJ H NPfd^VesSs fLNOgravej^^f^~OacuteETHEgraveKEacute18=KETH32EacuteltOacuterEacute0frac34Ntilde83ltOacuteONtildeshyIacute=gtNtildeshyEumltIcirc=39IgraveFIacute5Igrave O QZaringN[PJumlOtildegta2atildeltszligaumlj QcYNxXqjOb H QR[]O ^eJOJU^ Xiacute[Phpounda2atildeshyszligaumlFj OumlOcirccenteuWMeJLhZJOumloslashQcY H MeJ QZaringN[PJ ^e[]ZaringNPQcOO^ltMeJ QCZaringN[PJ ^e[]Z NPQcOQcYIacutebn[]OYZQc^eJLhJU^ H [ cent=JZaringNP^eJjeK`[SX H WF[KNih H Ylaquoa not Q[^fjaring H MJyXiacute[PhZJ[PhZ[]jO^`KNih H bn[]O H NPQsOQcO[ H MeJT[Pcent~JUb H Y H [

uumlnyacute|thornLyuml13

f s $amp)(+-)013021+345627893lt=gt9A6CBYJ[]ZaringJUO H e=Oe[ H JU^frac34OumlcopytimesOslashFe-NPO^ H MeJaumlcent-NPbY`[PhZ[]jO^aKNih H Oe[ H JU^Ouml UgraveUcircUacuteUuml ^MeJauml^QcYZbn[]OWVH QcOBjQ H m`YJ H QcYOtildeNbLjehlUPJ Oe[ H JU^bYacute H MN H ^JOeJUY H MeJ cent=[]jO^NihYmcentEgraveJ H WNtildeJLJUO H MeJH WNtilde[ ^[]ZaringNPQcOY^ J H MJUOaYJUNihbdMtXiacute[Ph H MeJ H WNtilde[^e[]ZaringNPQsOYyacuteOuml UgraveUcircUacuteUuml NPO^wOumlutimes OslashWMQcbdMtZaringQcOQZaringQVcurrenLJ H MeJbnhQ H JLhQR[]Oocircuml[]QVUPJUOcentmumla2jehZJZaringQcO^eJU^ MeJLhZJSaring

ocirc|adOuml UgraveUcircUacuteUuml szliglOumlcopytimesOslashgtszligYYacuteQjumlaacute uuml thorn UgraveUcircUacuteUuml yuml a2atildeltszligaumlgtszliglOuml UgraveUacuteUuml j atilde auml $ uuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOuml timesOslash j atilde aumlamp uacuteucirc thorn yuml uuml thorn otilde)yuml a2atildeshyszligaumlFj THORN5OaumlbnhQ H JLhdQR[]Oa2je H MeJ|hY HH WNtilde[ H JLhlZaringY9NihJyhZJ[]QR[]OWVcent-NPYJU^ordfWMQsfRJ H MeJ H MQRhd^ H JLhlZQcYcentEgrave[]jO^NihYmVcentNPYJU^O^MeJiexclXqjOb H QR[]OYyacuteuuml thorn UgraveUcircUacuteUuml yuml egtuuml thorn timesOslash yuml NPO^tuuml thorn otilde)yuml NihZJaumlhZJUYKEgraveJUb H QVUPJUfmH MeJ^eJUYZbnhdQRK H [PhY[SX H MeJFcentNPbl`[PhZ[]jO^timesKNih H ei[SX H MeJ[Pcent~JUb H Y H [OtildeYJ[]ZOslashJUO H NPO^Iacute[SXH MeJaumlbn[]O H []jeh^KMeJauml^eJUYbnhQRK H [PhYuZ Nm centEgraveJordf[]fR[PcentNPfcfm N HH NPbMJU^ H [ H MeJOtildeJUP[]fVUWQcO[hZJ[]Qc[]OY(NPO^Y[ ^eJLKEgraveJUO^ []Ofrac34Ouml timesOslash [Ph5OumluUgraveUcircUacuteUuml^

G QcObnJ H MeJaringYJ H [SXNtildeNPfsf$^e[]ZaringNPQcOYUacuteMNPYOtildeO[ H N Y H hjb H jehJtimes[SXUPJUb H [PhQcNPfyYZKNPbnJSeWFJIacutebLNPOeumlOe[ H bn[]ZOslashKj H J H MeJaelig^eJLhQVUiN H QVUPJT[SX H MJIacuteKhJUBQR[]jYbnhQ H JLhdQR[]OaNPbLbn[Ph^QcO[H [euml^e[]ZaringNPQcOY^ltMJLhZJX[PhJSe H [bn[]ZOslashKj H JNPO[PK H QZaringNPfFY[]fcj H Qc[]OOe9Neuml^mWONSZaringQcbLNPfYZbdMeJZOslashJOtildeQcYQcO H hZ[W^jbnJU^WMeJLhZJJUNPbM^[]ZaringNPQcO cent=JUbn[]ZaringJUY(bn[]O H QcOBje[]jYfVm ^eJLKEgraveJUOWV^eJUO H []ONPO JUP[]fcj H QR[]O KNihdNSZOslashJ H JLhagrave^59[ X[PhZaringNPfcQVcurrenLJ H MQcYQc^eJUNe WNtildeJxZaringNmYZjKKEgrave[]YJ H MN HTH MJ JUP[]fcj H Qc[]OKhZ[WbnJUYZYtimesQcY H [ H NPfsfVm^eJ H JLhlZaringQcOJU^centm H MJ JkeQcY5VH JUObnJiexcl[SXgNyXqNSZaringQcfmIacute[SXgNiKK-fcQcbLN H QR[]OY| H MN HNtildeH hNPOYXiacute[PhlZaringY H MeJiexclQsOQ H QcNPfe^e[]Z NPQcOYOumlcopytimesOslashgta s jNPO^tOuml UgraveUcircUacuteUuml a s jQsO H [ H MeJIacutebLjehZhZJUO H ^e[]ZaringNPQcOYyacuteOumlcopytimesOslashKaagravejNPO^frac34Ouml UgraveUcircUacuteUuml aagravejaring

OumlutimesUcirca s j ntilde OumlcopytimesaagravejYacutea s j ntilde Yacuteaagravej WiexclMeJLhZJVQaacuteiV[Ph Kf5 iumlMBjY H MeJOtildehJ[]QR[]OY(JUP[]fVUPJ H [WNih^YiexclNPO [PK H QZaringNPf9Y[]fcj H QR[]O^MeJ H hQRKfcJ H Ouml UgraveUcircUacuteUuml aagravejszliglOumlcopytimesOslashOaagravejszligYYacuteaagravejordmZIacutejY H NPb H NPYNregZaringQcOQZ QVcurrenUQcO[TYZJjeJUObnJgX[Phocirc|adOuml UgraveUcircUacuteUuml szliglOumlcopytimesOslashszligYYacutejWiexclMeJUOagrave JUP[]fVUPJUY^MeJ5XqjOb H QR[]ONPfOocircOcircadOuml UgraveUacuteUuml aagravejszliglOumlcopytimesOslashaagravejszligYYacuteaagravejjMNPY H [ bn[]OOgraveUPJLhY[PJ H [WNih^Y H MeJpoundZaringQcOQCZIacutejFZ UiNPfcjeJeuml[SXregocirc2NPYfrac34agraveacircntilde ograveegrave^ MeJbnhQ H JLhQR[]O H MeJUO centEgraveJUbn[]ZOslashJUYaring

ocirc|adOuml UgraveUcircUacuteUuml aagravejszliglOumlcopytimesOslashaagravejszligYYacuteaagravejjaacute thorn yuml uuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszliglOuml UgraveUcircUacuteUuml aagravejj atilde auml 5$ thorn yuml uuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashKaagravejj atilde aumlj uacuteucirc thorn yuml uuml thorn otilde)yuml a2atildeshyszligaumlFj THORN adh]jMJoXqjOb H Qc[]ONPf_ocircOcircadOumlyacuteUgraveUacuteUumllaagravejszliglOuml timesOslash aagravejszligYYacuteaagravejjaeligQcY H MeJLhZJUNX H JLh O[ H JU^egraveocirc|aagraveje0NPO^H MeJ ^eJUYZbnhQcK H [PhYuuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashKaagravejj NPO^icircuuml thorn UgraveUcircUacuteUuml yuml a2atildeltszligaumlgtszliglOuml UgraveUcircUacuteUuml aagravejjaringNihZJ`hZJUYKEgraveJUb|VH QVUPJUfmUacuteO[ H JU^laquouuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejgNPO^laquouuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszligYagravejeWMQcbdMTfRJUNP^Y H [ H MeJXiacute[]fcfR[WQcO[

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ fSfJkWKhZJUYZYQR[]OOaring

ocirc|aagravejumlaacute thorn yuml uuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszligYagravej atilde auml $ thorn yuml uumlgtthorn timesOslash yuml a2atildeltszligaumlgtszligYagravej atilde aumlj uacuteucirc thorn yuml uumlgtthorn otilde)yuml a2atildeshyszligaumlFj THORN af s j5OOtildebn[]O H hdNPY H WQ H MUacute[ H MeJLh9NPb H QVUPJFbn[]O H []jehdY9NiKKh[]NPbMeJUYe H MeJy^mWONSZaringQcbLNPfPYZbdMeJZOslashJQcYtimesMeJLhZJ^QRhJUb H fVmQcO H h[B^jbnJU^QcO H MeJbnhQ H JLhQc[]OO^ Q H MYZjbdMNeumlYZbdMeJZOslashJSe H MeJQcO H hZ[W^jb H QR[]OOacute[SXiexclNPO NPb H QVUPJbn[]O H []jehOslashJUP[]fVUWQcO[ WQ H Msup1agraveQcYaeligY H hNPQ[]M H Xiacute[PhYWNih^O^iexclJUObnJ WNtildeJbn[]OYZQc^eJLh H MN H Yacuteaagravej QsYoZaring[B^eJUfsfRJU^ NPY NPO NPb H QUPJOacutebn[]O H []jh H MN Hbn[]OUPJLhY[PJUY H [WNih^Y H MJgONPfEgraveJkWKEgraveJUb H JU^YJ[]ZOslashJUO H N H QR[]OO^9J H Yacutea s jtimescentEgraveJ H MeJQcOQ H QcNPfNtildebLjhYUPJa^eJOJU^centm H MeJjYJLh^ JahZJUbLNPfcf H MN H WFJYJUNihdbMtXiacute[Ph YacuteaagravejNPYNaringbLjehlUPJaumlJUP[]fVUWQcO[aringNPbLbn[Ph^QsO[ H [ H MeJgXiacute[]fcfR[WQcO[ordm5 aringaelig YacuteadTHORNOgraveszligYagravejaelig agrave aacuteegraveeuml WiexclQ H MigraveYacutea s j|aacuteegraveYacuteshyiacute afSfjWMJLhZJ_euml`QcY H MJ_UPJUfR[WbLQ H mUPJUb H [Ph([SX H MeJUacuteNPb H QVUPJOtildebn[]O H []jh^MeJ_Z NPQcO KhZ[PcentfRJZfcQcJUYFQsO-O^QcO[ H MeJiexclUPJUfR[WbLQ H meumlXhZ[]Z H MJUacutebnhdQ H JLhQR[]Opoundaf s jFQcO [Ph^JLh H [ordm[PJ HH MeJXqNPY H JUY H bLjhYUPJaumlJUP[]fcj H Qc[]O H [WNih^Y H MeJordfONPfYJ[]ZaringJUO H N H QR[]O^^ ^iexclEacuteltIacuteETHNtildeFETHEacuteshyOacute Eacute10wETH9Igrave8ltIgraveFEgravegt+NtildeFETH3gt+ltIgraveumlEacute10frac34ETH9Igrave=KEgrave13ETHIgraveFEgraveEacuteshyOacute5Oeuml[Ph^eJLh H [ [Pcent H NPQsO H MeJOslashJUP[]fcj H QR[]OeumlJBjN H QR[]Oe H MeJaringbnhQ H JLhQc[]OxocircOcircaagravej5ZtimesjY H centEgraveJ^QV=JLhZJUO H QcN H JU^WQ H MhZJUYKEgraveJUb H(H [agrave^MeJOtildeQcO H J[PhNPfcentEgrave[]jO^Y^eJLKEgraveJUO^ []Otagrave NPO^H MeJauml^JUYZbnhQRK H [PhdYyacuteuuml thorn UgraveUcircUacuteUuml yuml a)jNPO^wuuml thorn times Oslash yuml a)juZaringNm NPfcY[aring^JLK=JUO^[]Otagrave^9J H jY^eJOJ H MeJordfXiacutejOb H QR[]ONPfuumlOa2atildeltszligaumlgtszligYagravejYZjbM H MN H aring

uumlOa2atildeltszligaumlgtszligYagravej|aacute uuml thorn UgraveUacuteUuml yuml a2atildeltszligaumlgtszligYagravej QVXcopya2atildeltszligaumljwOuml UgraveUcircUacuteUuml aagravejuuml thorn times Oslash yuml a2atildeltszligaumlgtszligYagravej QVXcopya2atildeshyszligaumlFjtOumlcopytimesOslashKaagravej af jMJbXqjOb H QR[]ONPfuuml thorn UgraveUcircUacuteUuml yuml a)jNPO^Huuml thorn times Oslash yuml a)j`NihZJ^eJOJU^ []O H MeJxWMe[]fRJ7QZaringN[PJ^e[]Z NPQcOtOumliexcl^FMeJUOe H MeJaumlbnhQ H JLhQc[]OocircOcircaagravejuWhQ H JUY(NPYaring

ocirc|aagravejOcircaacute uacute uumlOa2atildeshyszligaumlKszligYagravej atilde aumlj uacuteucirc thorn yuml uumlgtthorn otilde)yuml a2atildeshyszligaumlFj THORNordfaacuteocirc aagravej ocirc cent aagravej af]jWMJLhZJgOuml QcY H MeJaumlQCZaringN[PJT^e[]ZaringNPQsOOeeNPO^Oaring

ocirc aagravej|aacute uacute uumlOa2atildeshyszligaumlKszligYagravej atilde aumlocirc cent aagravejOcircaacute uacuteucirc thorn yuml uuml thorn otilde)yuml a2atildeshyszligaumlFj THORN

uumlnyacutenthornnyumll13YSordmY_F

f $amp)(+-)013021+345627893lt=gt9A6CB5OOtilde[Ph^eJLh H [bn[]ZaringKj H J H MJ0^eJLhQVUiN H QVUPJy[SX H MJNtildebnhQ H JLhdQR[]Olaquoocirc aagraveje H MJNtilde^QcYbn[]O H QcOBjWVQ H QcJUY|ZtimesjY H JkWKfcQcbLQ H fVmIacutecentEgraveJ H N`PJUOQcO H [IacuteNPbLbn[]jO H ^ not [Ph(YZjbdM NIacuteKjehZKEgrave[]YJSeSWFJ5hY HhZJUbLNPfsf-N[PJUOeJLhNPf H MeJL[PhJZbn[]ObnJLhOQcO[ H MeJUacute^eJLhQVUiN H QVUPJ[SX9N H QZOslashJnV4^eJLKEgraveJUO^JUO HbnhQ H JLhQR[]OO^9J H jY(^eJ-OeJyOumlcopytimesaagravejNPYNOslashhZJ[]Qc[]OQcObLfcj^eJU^QcO H [regOumlordf^yacute5 q Ntilde_ f^1ltuumlStimesBiexcl centpoundcurrenyencurrenbrvbarsectumlordfcopynotlaquo3shyyenLregmacrcurrenRlaquodegcurrenbrvbarlaquo Oumlplusmna s szligsup2|iexcljsup3acute Rlaquomicromiddotparagtltocirc|aagravejOcircaacute w thorn yuml uumlStimesYa2atildeltszligaumlgtszligYagravej atilde auml~sup3cedilsectsup1ltlaquoordm ocirc agrave aacuteocirc7raquodaagravejOcircaacute thorn yuml aelig uumlStimesaelig agrave atilde auml uacutefrac14 thorn yuml uumlStimesYafrac34frac12 eacuteAgraveiquestsup1AacuteAtildeAcircYj THORNAuml sectsup1ltAringPfrac12AEligreg(centsectsup1Ccedilbrvbar_paracurrenyenshyltregLLEgraveacutecurrensup2uml aelig Oumlcopytimesaagravej RlaquomicroeacuteAgraveiquestsup1AacuteAtildeAcircEacuteregEcirccentsectsup1copysup1laquoregEumlreg(laquo Auml brvbarAringsup2microacutelaquocurrenRAringordfpound RparaIgravecurren aelig Oumlcopytimesaagravej_IacuteMJ^JLhQVUiN H QVUPJ[SXshyocircWQ H MaelighZJUYZK=JUb HampH [yagraveaeligQcY H MJyacute0jfRJLhdQcNPOIacute^JLhQVUiN H QVUPJ([SXocirc|adOumlcopytimesAjQcO H MeJOtilde^QRhJUb H QR[]O [SXEumlfrac12umleWMQcbdM bn[]ZaringKj H N H QR[]O QcY[]QVUPJUO QsO iexclKKEgraveJUO^Qkaring ^FMeJUiNihQcN H QR[]Oeuml[SX5ocirc QcYOtilde^jeJ H [ H MeJUiNihQcN H Qc[]O[SX H MeJordmXiacutejOb H QR[]ONPfOcircuuml]timesa2atildeltszligaumlgtszligYagravejaumlNPO^H [ H MeJgZOslash[ H Qc[]O[SX H MeJOtildeQcO H J[PhNPf^e[]ZaringNPQsOOumlutimesaagravej^ Y(Naeligbn[PhZ[]fcfcNihYm [SXltMJL[PhZJZfeFWFJordf[PJ H aringv q q shy9 5lt f^yenIcirccopyNcentampcentcopyIuml-Iumlsup1currenfcentyenYsectnot -sectsup1Ymicro-currenRpound Rreglaquofrac34Oumlgaagravejampreg(centpound -microETHcopyIumliexclcurrensup2uml Auml currenCIuml RAringordfcentsup3yOuml timesOslash aagravejNtilde RlaquomicropoundOumlyacuteUgraveUacuteUumllaagravejOgravecentyenfrac34Iumlsup1 brvbarAringsup2 brvbarmicro_Egraveh iexclpoundYcurrenbrvbarCcedildreglaquoNOacutehreglaquo5_Aringumllt -shytYacuteaagravejAuml sectETHregmacrshy_sectOcircCcedilRltparaOtildecurrendshyltregLLEgraveregEcirccentyacuteeumlEumlIacuteOumlsectsup1Uumlordfcopynotlaquo3shyyenLregmacrcurrenRlaquouumlOa2atildeltszligaumlgtszligYagravejreg(centcentordfcopyIuml-Iumlsup1currenfcentyenmicroOcircIgravecurrenOcirccentltfrac34Iuml RAringsup2 -_paraEgraveshycurrenRlaquo5LreglaquocopycurrenRcopynotcentcedilreglaquoyOumlcopytimesOslashKaagravejW Rlaquomicro Ouml UgraveUcircUacuteUuml aagravej_copy3pound REgraveampJmicrobrvbarregEcirccentltshycurrenRlaquo5LreglaquocopycurrenRcopynotcentJ -shyltAringPcurrenfcentcentYacuteaagravej_Iacutetimes Agravelaquocurrenbrvbaruuml thorn times Oslash yuml Rlaquomicroruuml thorn UgraveUcircUacuteUuml yuml sup3sectsup1Ccedilf brvbarparacopy5iexclcurrensup2umlwuumlreglaquoOslashAringordfcentIumlshydLreg(Ccedilbrvbar_paraEgraverOumlutimes OslashaagravejAgrave Rlaquo3microOuml UgraveUcircUacuteUuml aagravej_IacuteUgraveOumlsectNcopyNcentampsectmicroETH_Aringordfreg(CcedilR brvbarLregCcedilRcurrensup2umlordfocirc|aagravej Auml AringregLordfcent fcent_ordm

ocirc7raquo)aagravejOcircaacuteUacute thorn yuml aelig uumlaelig agrave atilde auml uacutefrac14 thorn yuml uumlOaLUcirc eacute iquestsup1Aacute j THORN uacuteucirc thorn yuml uumlNaeuml eacuteHj THORNAuml sectsup1ltAringPacute uumlNAringfrac34Iuml3AringP_centlt_laquocentYsectUumlordfcopysup1poundUgraveIumlcurrensup2umlguumlh -shyltAringPcurrenfcentcentordfYacuteaagravej_ordmW uumlNaacuteacircuuml thorn UgraveUacuteUuml yuml uuml thorn times Oslash yuml sup3eacute sectsup1ncopynotlaquo5reglaquo3currenRAringpound RparaIcirccurrensup2umlordfYacuteaagravejmicrobrvbarreg(AringshydmicroampumlAringPcurrenRpound Ouml UgraveUacuteUuml aagravejIgravecurrenOumlutimes OslashKaagravejsup3eacuteAgraveiquestsup1Aacutesectcopysup1laquoregLEumlreglaquo Auml RAringPmicroOcirclaquocurrenRAringordfpound Rpara1Igravecurren aelig Oumlgaagravejj RlaquomicroUcircYacutesectsup1jCcedilbrvbar_paracurrenyenshyltregLLEgravenCcedilbrvbarshydIgravecurrenRAringjcurrensup2uml_Oumlyaagravej_Iacute

plusmngLMOMraquo aring JbLNPO NiKKfVm MJL[PhZJZ f H [ H MeJ ^[]ZaringNPQcO Oumlutimes OslashaagravejaringNPO^ H [ H MeJ^e[]Z NPQcOtOuml UgraveUcircUacuteUuml aagravej^ ^^QcO[ H MeJ H WF[aringJjN H QR[]OYeFWFJOtilde[Pcent H NPQcO H MeJTbn[PhZ[]fcfsNihYmS^ H QcYIacuteOe[WY H hNPQ[]M H Xiacute[PhYWNih^ H [[PJ HtimesH MeJ ^eJLhdQVU~N H QUPJ [SX H MeJ bnhQ H JLhQR[]O ocirc aagravejaringWFJ H N`PJ5OumlyaagravejOcircaacuteAumlOuml H MeJiexclQZaringN[PJ^e[]Z NPQcOta not QV[^ j^MJUOOePcentmaeligJkWKfcQcbLQ H fVm H N`WQcO[

uumlnyacutenthornnyumll13YSordmY_FY

yenKbrvbarsect =4 acirc $ fH MeJtimes^QcYZbn[]O H QcOBjQ H QRJUY(QsO H [ NPbLbn[]jO HUacuteH MNPOF`BY H [ H MeJtimesbn[PhZ[]fcfcNihlmSe H MeJtimes^eJLhQVUiN H QVUPJ[SXocirc aagravejQcYcopy[]QVUPJUOacentmKaring

ocirc raquo aagravejumlaacute uacuteucirc thorn yuml uumlNaeuml eacutej THORN uacutefrac14 uumlOaLUcirc eacuteAgraveiquestsup1Aacutej THORN $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde auml thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afj

q centUWQR[]jYZfVmSe H MeJ7YJUbn[]O^ H JLhlZ [SX H MeJ7^eJLhQVUiN H QVUPJ afjaQcYcurrenLJLh[ YZQcObnJ H MeJJk H JLhONPf(centEgrave[]jO^NihYm aelig OumlD[SX H MeJ`QZaringN[PJaQcYkBJU^^OcircJLKfcNPbLQsO[` uumlN_WQ H MQ H YJkWKhZJUYZYQR[]OOeWNtildeJyO^Oaring

ocirc7raquo aagravejumlaacute uacuteucirc thorn yuml aduuml thorn UgraveUcircUacuteUuml yuml1 uuml thorn timesOslash yuml jaeuml eacuteHj THORN $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde auml thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afmacr]jMJUacute^JLhQVUiN H QVUPJOtilde[SXocirc cent aagravejQcY(bLfcNPYZYQcbLNPfdaring

ocirc7raquocent aagravejOcircaacute uacuteucirc thorn yuml a uuml thorn otilde)yumld huuml thorn otilde)yuml7 eacutejaeuml eacutej THORN af]jWMJLhZJ a2atildeshyszligaumlKszligYagravejQcY H MeJaumlbLjehlU~N H jehJ[SXQYacutea2atildeltszligaumlgtszligYagravej^MeJLhZJXiacute[PhZJSe H MeJOtilde^eJLhQVUiN H QVUPJ[SX H MeJgWM[]fRJOtildebnhQ H JLhQR[]O QsY H MeJordfXiacute[]fcfR[WiexclQcO[aring

ocirc raquo aagravejpoundaacute $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde aumlamp thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afzSj uacuteucirc thorn yuml aduuml thorn UgraveUcircUacuteUuml yuml uuml thorn timesOslash yuml uuml thorn otilde)yuml huuml thorn otilde)yuml eacutejaeuml eacutej THORN

^ ^~THORNUgrave2FEgraveOIgraveIcircIcirclt2EacuteltOacute Eacute0frac34ETH9Igrave8shyIgraveFEgraveEcirc+NtildeFETH3Ecirc+ltIgraveNtilde7==EacuteltEgrave7813Oacute14 ETHOEacute ETH9IgraveOacuteszligltOacuteshyEacuteOacuteAgrave+QIgraveFEumlEacuteAtilde=13ETH+ltIgrave5=KETHOEacuteshyEgravesup1euml5Oaelig[Ph^eJLh H [Tbn[]ZaringKj H J H MeJuUPJUfR[WbLQ H mUPJUb H [PhcopyeumleSWNtildeJMNUPJ H [yZ N`PJQ H NiKKEgraveJUNihyQcOH MeJhY HH WF[ ^e[]Z NPQcOaQcO H J[PhNPfcYiexcl[SX afzSjcentmJkWKhZJUYZYQcO[ H MeJZ NPY_XiacutejOb H QR[]OY[SX H MeJgUPJUfR[WbLQ H meumlQ^iexclJLhZJiexclWFJ H N`PJ H MeJ5[PJUOeJLhNPfbLNPYZJ5WiexclMeJLhZJ H MeJ^JUYZbnhQRK H [PhdYZaringNm ^eJLKEgraveJUO^ []OXiacuteJUN H jehZJUY5[]fR[PcentNPfsfVmN HH NPbMeJU^ H [ H MJtimeshJ[]QR[]OeumlNPO^eumlY[oZ Nm`^JLK=JUO^a[]O agrave^ JZOslash[W^eJUf$JUNPbdM^eJUYZbnhQRK H [PhIacuteNPYtimesNabn[]ZIacutecentQcON H QR[]OOacute[SXuXJUN H jhZJUYy[]fc[PcentNPfcfVmeumlN HH NPbMeJU^

uumlnyacutenthornnyumll13YSordmY_F

f $amp)(+-)013021+345627893lt=gt9A6CBH [ H MJOtildeJUP[]fVUBQsO[OslashhZJ[]QR[]OY_OumlcopytimesOslashKaagravejF[Ph_Ouml UgraveUacuteUuml aagravejaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejpoundaacuteAElig thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn timesOslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejszligiumlViumlViumlVszligagrave thorn timesOslash yumlaacute aagravejjuuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszligYagravejpoundaacuteAElig thorn UgraveUcircUacuteUuml yuml a2atildeltszligaumlgtszligagrave thorn UgraveUcircUacuteUuml yuml aagravejszligagrave thorn UgraveUcircUacuteUuml yumlcent aagravejszligiumlViumlViumlVszligagrave thorn UgraveUcircUacuteUuml yumlacirc aagravejjafi]j

WMJLhZJSaring agrave thorn(atilde yumlauml aacute 7aring thorn yuml5aelig thorn(atilde yumlauml a2atildeltszligaumlgtszligYagravej atilde auml WQ H Mpounda jOcircaacuteacircaVltjF[Pha Kf5 jiuml afh]j9J H jYuhY H bn[]ZOslashKj H J H MeJIacute^eJLhQVUiN H QVUPJOtilde[SXuuml thorn timesOslash yuml eFWFJgO^Oaring

aelig uuml thorn times Oslash yumlaelig agrave aacute aacuteccedilaumlegrave aelig thorn timesOslash yumlaelig agrave thorn times Oslash yumlauml a2atildeltszligaumlgtszligagrave thorn timesOslash yuml aagravejszligiumlViumlViumlVszligagrave thorn timesOslash yumlaacute aagravejj aelig agrave thorn timesOslash yumlaumlaelig agrave aagravej a s j J MNUPJOe[W H [bn[]ZOslashKj H J H MeJ ^eJLhdQVU~N H QUPJ [SXagrave thorn timesOslash yumlauml NPbLbn[Ph^QcO[ H [umlagrave^ JNiKK-fVm H MeJgMeJL[PhZJZigravefaumlNPO^WNtildeJy[PJ H aring

aelig agrave thorn timesOslash yumlaumlaelig agrave aacute $ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde auml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacutej THORN a fj

JLKfcNPbLQcO[ H MeJNtilde^eJLhdQVU~N H QUPJUY9[SX3agrave thorn timesOslash yumlauml WQ H M H MeJUQRhJkWKhZJUYZYZQc[]OYa fj9QcOa s jeSWFJ[Pcent H NPQsO H MJXiacute[]fcfR[WQcO[iexclJkBKhJUYZYZQR[]OX[Ph H MJF^e[]Z NPQcOaeligQcO H J[PhdNPf[SX H MeJ^eJLhQVUiN H QVUPJ[SX H MeJT^eJUYbnhQRK H [Ph uuml thorn times Oslash yuml aring

$ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde aumlacircaacute aacuteccedilaumlordfegrave -eacute thorn timesOslash yumlauml $ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde auml

aacuteccedilaumlordfegrave eacute thorn timesOslash yumlauml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacuteHj THORN a S jWMJLhZJSaring

eacute thorn timesOslash yumlauml aacute $ thorn yuml aelig thorn timesOslash yumlaelig agrave thorn timesOslash yumlauml a2atildeltszligaumlgtszligagrave thorn timesOslash yuml aagravejszligiumlViumlViumlVszligagrave thorn times Oslash yumlaacute aagravejj atilde auml a ]jMJIacuteJkWKhZJUYZYQR[]OwXiacute[Pha jyacuteaacute a Kf jiexclQcYbn[]ZOslashKj H JU^QsO H MeJaeligYZNSZOslashJordmZaringNPOOeJLhiexclWMQcfRJKNmBQsO[N HH JUO H Qc[]O H [ H MeJ`^QRhZJUb H QR[]O[SX H MeJ`Oe[PhlZaringNPfcopyUPJUb H [PheNPO^rWFJ H MBjY

uumlnyacutenthornnyumll13YSordmY_Fsup2

yenKbrvbarsect =4 acirc $ fmacr[Pcent H NPQsO H MeJg[PJUOeJLhNPfgJkBKhJUYZYZQR[]OXiacute[Ph H MeJauml^JLhQVUiN H QVUPJOtilde[SXocircOcircaagravejaring

ocirc raquo aagravejumlaacute uacuteucirc thorn yuml aduumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn times Oslash yuml uumlgtthorn otilde)yuml d hreguumlgtthorn otilde)yuml eacuteHjaeuml eacutej THORN aacuteccedilaumlordfegrave eacute thorn timesOslash yumlauml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacuteHj THORN acircccedilaumlordfegrave eacute thorn UgraveUcircUacuteUuml yumlauml uacuteucirc thorn yuml aelig thorn UgraveUcircUacuteUuml yumlauml aeuml eacutej THORN aacuteccedilaumlordfegrave -eacute thorn timesOslash yumlauml $ thorn yuml aelig aelig thorn

timesOslash yumlaumlaelig agrave atilde auml acircccedilaumlordfegrave eacute thorn UgraveUcircUacuteUuml yumlauml thorn yuml aelig aelig thorn

UgraveUcircUacuteUuml yumlaumlaelig agrave atilde auml a j^ ^ecirccopyEgraveEacuteshyIacuteIumlETH39shyIgrave8shyIgraveFEgraveEcirc+NtildeFETH3gt+QIgraveETHOEacute3iexclNtildeshyEgrave78QIcircETH9IgraveumlIgrave+EacuteltEumlETHshyETHEacuteshyOacuterIgrave5euml1ONtildeFETH32EacuteltOacuteEacute10wETH9Igrave Ntilde=KETH3gt+ltIgrave=EacuteshyOacuteshyETHEacute1EgraveMJ[P[]NPf[SX H MQsYampKNih H QcY H [aumlbn[]ZOslashK-j H J H MeJ(JkWKhZJUYZYZQc[]Oaelig[SX H MeJuUPJUfc[BbLQ H mUPJUb H [PheumlwWMQcbdMregZaringN`PJUY H MeJUacutebLjehYUPJJUP[]fVUPJOtildeNPYXiacuteNPY H NPYFKEgrave[]YZYZQRcent-fRJ H [WNih^Y(NZaringQcOQCZIacutejFZ[SX H MeJaeligbnhQ H JLhdQR[]Oumlocirc^KO`[Ph^eJLh H [ ^JU^jbnJ H MJyUPJUfR[WbLQ H mwUPJUb H [PhOtilde[SX H MeJaeligNPb H QVUPJbn[]O H []jehQXhZ[]Z H MeJF^eJLhQVUiN H QVUPJ0[SX H MeJNtildebnhQ H JLhQR[]OOeWFJMNUPJ H [5Z N`PJFNiKKEgraveJUNih H MeJUPJUfR[WbLQ H moUPJUb H [PhUacuteQcO H MJTfcNPY HH WNtilde[ ^e[]ZaringNPQcOaQcO H J[PhdNPfcY(centm JkWKhZJUYYZQcO[ H MeJZ NPYcentEgrave[]jO^NihYm QcO H J[PhNPfcY^FMQcYbLNPOaJUNPYZQcfVm centEgraveJauml^e[]OeJTjYZQcO[MJL[PhZJZigravefe-^[]ZaringNPQcOQcO H J[PhNPfcYbLNPOeumlNPfVWNmWYiexclcentEgraveJIacuteJkBKhJUYZYJU^ NPYcentEgrave[]jO^NihYm QcO H J[PhdNPfcY^gtiexcl[WFJUPJLheOXiacute[PhYZQCZOslashKfcQcbLQ H mSe-fcJ H jYbn[]OYZQc^eJLh H MeJaringbLNPYJUYgWMeJLhZJ H MeJUYJOslashfcNPY HH WNtilde[`QcO H J[PhdNPfcYOtildeNihZJJBjNPf H [currenLJLhZ[eOgraveWMQcbMaringMNiKKEgraveJUOYX[PhZOslash[]Y H hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhdQRK H [PhY^S5OH MN H bLNPYJSeNPbLbn[Ph^QsO[ H [ H MeJaeligQcOeJBjNPfcQ H m[SXvNPjbdMOgravemV G bdMOgraveWNih H currenSe H MeJXiacuteNPY H JUY H^eJUbnhJUNPYJa[SXocirc|aagravejOslashQcY [Pcent H NPQcOeJU^ XhZ[]Zecirca jOslashcentm bMe[B[]YZQcOF[beuml aacute ccedilyeacute WMQsbMfRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[aeligJUP[]fcj H Qc[]O JjN H QR[]OOaringaelig Yacuteaagravejaelig agrave aacuteFuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yuml uuml thorn otilde)yuml eacute aacuteccedilaumlordfegrave ETHeacute thorn timesOslash yumlauml aelig thorn timesOslash yumlauml acircccedilaumlordfegrave ETHeacute thorn UgraveUcircUacuteUuml yumlauml aelig thorn UgraveUcircUacuteUuml yumlauml lteacute a macr]jUcircX H MJ^eJUYZbnhQRK H [PhY$^e[TOe[ H ^eJLKEgraveJUO^times[]OregagravetaiacutehZJ[]QR[]OeV4QcO^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhYjeH MeJgiexcl hZJU^jbnJUY H [ H MeJordfXiacute[]fcfR[WQcO[aeligJkWKhZJUYZYQR[]OOaringaelig Yacuteaagravejaelig agrave aacuteigraveuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yumldn reguuml thorn otilde)yuml7 eacutelteacute a ]j

uumlnyacutenthornnyumll13YSordmY_FY

f $amp)(+-)013021+345627893lt=gt9A6CB JaeligbLNPO`O[ H QcbnJ H MN HH MeJtimes^eJLKEgraveJUO^eJUObnJauml[SX H MJIacute^eJUYZbnhdQRK H [PhY[]OwagraveeEgraveNPO^aY[ []OH MeJiexclbLjehYUPJJUP[]fcj H QR[]OOeQcO^jbnJUY0NP^^Q H QR[]ONPf H JLhlZaringYFQcO H MeJiexclJUP[]fcj H QR[]O JjN H QR[]O[SX H MJFNPb H QVUPJ(bn[]O H []jeh^SMeJNP^^Q H QR[]ONPf H JLhZaringYQX[]jO^IacuteQcOoa macr]jbLNPOOe[ H hZJUNP^QsfVmcentEgraveJtimes[Pcent H NPQcOeJU^ WMJUO H MeJOslash^mBONSZaringQcbLNPfampYZbMJZOslashJaringQcYOtildeQcO H hZ[W^jbnJU^eumlNX H JLh H MeJOslashbn[]ZaeligVKj H N H QR[]Oa[SX H MeJaelig^eJLhQVUiN H QVUPJaeligjYZQcO[o0jfcJLhVA9N[PhNPOF[PJIacuteJBjN H QR[]OY^MjYe-Q H QcY[SX=KhQZaringJOeJUbnJUYZYZQ H m H [TQcO H hZ[B^jbnJ H MeJ^mWONSZaringQsbLNPfeYZbMeJZaringJiexclQcO H [ H MeJbnhQ H JLhQR[]OQ H YZJUfVXiexclQcO[Phd^eJLh H [JUNPYZQsfVmsup1[PJ H H MeJUYJaNP^^Q H QR[]ONPf H JLhlZ Y QcO bLNPYJa[SXhJ[]QR[]OWV^eJLKEgraveJUO^JUO H ^JUYZbnhQRK H [PhdY^MNPO`BY H [ H MeJUYJeumlNP^^Q H QR[]ONPf H JLhlZaringYeWFJ`JUOYZjehZJH MeJordfXqNPY H JUY H JUP[]fcj H QR[]O [SX H MeJIacutebLjehYUPJ H [WNih^YiexclNZaringQcOQZIacutejZ [SX H MeJTbnhdQ H JLhQR[]OO^ JeumlbLNPO NPfcY[hZJZaringNihY` H MN H H MeJUPJUfR[BbLQ H m[SX H MeJ bn[]O H []jhQsOa macr]j bLNPOcentEgraveJ K=[]YQ H QVUPJ[PharingOeJ[]N H QVUPJS^|MQcYaeligNPO QcO H JLhZJUY H QcO[eumlKh[PK=JLh H mOacute[SXiexclhZJ[]QR[]OWVcent-NPYJU^NPb H QVUPJ bn[]O H []jehY^ q O H MeJ bn[]O H hNihYm H [ centEgrave[]jO^NihYmVcentNPYJU^7NPb H QVUPJ bn[]O H []jehdYehZJ[]Qc[]OWVcentNPYJU^7NPb H QVUPJbn[]O H []jehYOslashNPfcfR[WYZ[]ZOslashJKNih H Ytimes[SX H MeJ bLjehYUPJ H [YZMehQsO`WMQcfRJ[ H MeJLhY(JkWKNPO^O^FMjY H MeJaumlQcOQ H QsNPfcQVcurrenUN H QR[]O QcYfRJUYYbn[]OY H hNPQsOeJU^O^^ macr^iexclEacuteltIacuteETHNtildeFETHEacuteshyOacute Eacute10wETH9IgraveumlIgravesup1+shyEacuteltEumlETHETH3EacuteshyOacuterIgrave5euml1ONtildeFETH32EacuteltOacute0EacuteltEgravexIcircEacuteshyIacute5IgraveIgrave2shyNtildeshyIacuteEumlOgraveIgraveIcirclaquoEacute10C8ltIgraveIcircd=KEgrave(ETHEacuteltEgraveIcircMJu[P[]NPf[SX H MQsY$KNih H QsY H [timesbn[]ZaringKj H J H MeJiexclJUP[]fcj H QR[]O JjN H QR[]Oaring[SX H MeJNPb H QVUPJbn[]O H []jehOcircXiacute[Ph0Y[]ZOslashJ(JkeNSZOslashKfcJUY$[SX-hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhY^SgJ H jY H N`PJY[]ZaringJT^eJUYZbnhQcK H [PhY(^eJLKEgraveJUO^QsO[aelig[]O H MeJyZOslashJUNPOBSOtimesOslash [Phiexcl[]O H MeJgUiNihQcNPObnJjuFtimesOslash [SXH MeJOtildeJUP[]fUBQcOF[OslashhZJ[]QR[]OwOumlcopytimesOslashaagravejaringEFFG FFH SOtimesOslashKaagravejumlaacute iacute $ w$ thorn yuml Otilde atilde auml WiexclQ H M icirctimesOslashaacute w$ thorn yuml atilde aumlu centtimes Oslash aagravejsup1aacute iacute $ w$ thorn yuml aOtilde SOtimes OslashKaagravejj cent atilde auml^ macr^f^iumlordfcentltshyltAringordfregethIumlIgravecurrenRAringcentmicroETHfrac34IumlltlaquomicroRreglaquoNOacute]currenRlaquosectsup1jCcedilR RAringordfregL Rlaquo3shy JTbdMe[B[]YJ H MeJgXiacute[]fcfR[WQcO[OslashYJ H [SX^eJUYbnhQRK H [PhYaring

uuml thorn UgraveUcircUacuteUuml yuml ^e[BJUYOe[ H ^eJLKEgraveJUO^[]Owagraveuuml thorn timesOslash yuml aacutecntildeaLuOcenttimes Oslash j a zSjWMJLhZJampntildeaOgravejQsYNOslashKEgrave[]YZQ H QVUPJiexclXqjOb H QR[]O[SX$bLfcNPYYograve aj^MQcYiexclUPJUfR[WbLQ H mumlUPJUb H [PhOslashQcYaumlbn[]ZaringKj H JU^centmeumlhZJLKfcNPbLQsO[ H MeJ H JLhZaringYauml[SXga jgWQ H MH MeJUQch$JkBKhJUYZYZQR[]OY^ J hY H JkWKhZJUYZY H MeJ^eJUYZbnhQcK H [Ph|uuml thorn timesOslash yuml NPYyNTbn[]ZTcentQsON H QR[]O[SXamp^e[]ZaringNPQcOY(QcO H J[PhdNPfcYaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacutemiddot thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn timesOslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejjaacutecntildeoacute agrave thorn timesOslash yuml aagravejagrave thorn timesOslash yumlcent aagravejfocirc a i]j

uumlnyacutenthornnyumll13YSordmY_FPa

yenKbrvbarsect =4 acirc $ fzWMJLhZJSaring EFFG FFH agrave thorn timesOslash yuml aagravejpoundaacute w$ thorn yuml aOtildegta2atildeltszligaumlj SOtimes OslashaagravejjUcirccent atilde aumlagrave thorn timesOslash yumlcent aagravejpoundaacute w$ thorn yuml atilde auml a h]j O^ H MBjYaring aelig thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacuteacircaOtildeKa2atildeshyszligaumlFj S timesOslash aagravejjUcirccentaelig thorn timesOslash yumlcent a2atildeshyszligaumlKszligYagravej|aacute f ad s j Y5XiacuteNihaumlNPY H MeJOslash^e[]Z NPQcO`QsO H J[PhNPfsYUacute[SX H MeJOslash^eJLhQVUiN H QVUPJaelig[SX H MJXqjOb H QR[]OY aelig thorn timesOslash yumlaumlNihZJaumlbn[]ObnJLhOeJU^OeFWFJauml[Pcent H NPQsOOaringEFFFG FFFH w5$ thorn yuml frac14ltotildeouml $_divideoslashfrac14 atilde aumlordmaacute frac14ltugrave $frac14 w$ thorn yuml aOtildeKa2atildeshyszligaumlFj SOtimesOslashKaagravejj atilde aumlaacute sw5$ thorn yuml frac14ltotilde ouml $_divideacircfrac14 atilde aumlordmaacute s adfjMJ H JLhZaringY eacute thorn timesOslash yumlauml NPfcY[aringMNUPJ H [ cent=Jaumlbn[]ZaringKj H JU^OeNPO^tWNtildeJg[PJ H aringEFFFG FFFH eacute thorn

timesOslash yuml aacute w$ thorn yuml uacute ouml $_divideacircntilde raquo7ucirc uacute ouml $_divideoslashuacute ouml $_divideacircyacuteuuml atilde aumlaacutecntilde raquo aLu centtimesOslash jeacute thorn timesOslash yumlcent aacute w$ thorn yumlBthorn uacute ouml $_divideoslashthorn uacute ouml $_divideacirc yuml acirc ntilde raquo ucirc uacute ouml $_divideoslashuacute ouml $_divideacirc uuml atilde aumlregaacute u centtimes Oslash ntilde raquo aLu centtimes Oslash j

G QsObnJ H MeJOslash^e[]Z NPQcO`QsO H J[PhNPfsYiexcl[SX frac14ltotildeouml $ordfdivideoslashfrac14 NPO^ frac14ltotildeouml $_divideacircfrac14 NihZJaeligJBjNPf H [currenLJLhZ[poundadfjeWFJOtildebLNPO ^QRhZJUb H fVm bn[]ZOslashKj H J H MeJiexclUPJUfR[WbLQ H mregUPJUb H [Ph[SX H MeJOtildeNPb H QVUPJTbn[]O H []jehuXiacutehZ[]Za macr]jNPO^WNtildeJyO^Oaringaelig Yacuteaagravejaelig agrave aacuteuumlgtthorn timesOslash yuml uumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn otilde)yuml dacute uumlgtthorn otilde)yuml eacutentilde raquo aLu centtimes Oslash jaaOtilde SOtimesOslashj cent u centtimesOslash jcedilQeacute ad j5Otad jeOgraveWFJbLNPOaringhJZaringNihY` H MeJ(KhZJUYJUObnJ[SX H MJNP^^Q H QR[]ONPf H JLhlZntilde raquo aLuOcenttimesOslash jaaOtilde SOtimesOslashj cent u centtimesOslash jeacuteacirc^^ macr^ ^iumlordfcentltshyltAringordfregethIumlIgravecurrenRAringcentmicroETHfrac34IumlltlaquomicroRreglaquoNOacute]currenRlaquosectsup1jpoundn Rlaquo JTbdMe[B[]YJ H MeJgXiacute[]fcfR[WQcO[OslashYJ H [SX^eJUYbnhQRK H [PhYaring uuml thorn UgraveUcircUacuteUuml yuml ^e[BJUYOe[ H ^eJLKEgraveJUO^[]Owagraveuuml thorn timesOslash yuml aacutecntildeaOtilde S timesOslash aagravejj adS]j

uumlnyacutenthornnyumll13YSordmY_FPo

fi $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJampntildeaOgravejQsYNOslashKEgrave[]YZQ H QVUPJiexclXqjOb H QR[]O[SX$bLfcNPYYograve aj^ YKhZJUWQR[]jYZfVmSe H MeJlaquoUPJUfR[WbLQ H mfrac34UPJUb H [PhTQcYbn[]ZOslashKj H JU^eumlcentmhZJLKfsNPbLQcO[ H MJ H JLhZaringY[SXua jcopyWQ H M H MeJUQRh(JkWKhZJUYZYZQc[]OY^FMeJauml^JUYZbnhQRK H [Ph uuml thorn timesOslash yuml QcY(JkWKhZJUYZYJU^centmKaringuuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacutei thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn times Oslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejjaacutentildeoacuteOtilde agrave thorn timesOslash yuml aagravejagrave thorn timesOslash yumlcent aagravejfocirc adj

WMJLhZJSaring EFFG FFH agrave thorn timesOslash yuml aagravejpoundaacute w5$ thorn yuml Otildegta2atildeltszligaumlj atilde aumlagrave thorn timesOslash yumlcent aagravejpoundaacute w5$ thorn yuml atilde auml adSmacr]j O^ Y[aring aelig thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejOcircaacuteegraveOtildegta2atildeltszligaumljaelig thorn timesOslash yumlcent a2atildeshyszligaumlKszligYagravejOcircaacute f adS]jG QsObnJ H MeJordfXiacutejOb H QR[]OY aelig thorn timesOslash yuml NPO^ aelig thorn timesOslash yumlcent ^e[aringO[ H ^eJLKEgraveJUO^[]OtagraveeFWFJTMNUPJSaringEFFFG FFFH w$ thorn yuml frac14ltotilde5ouml $ordfdivideoslashfrac14 atilde aumlregaacute s

w$ thorn yuml frac14ltotilde5ouml $ordfdivideacircfrac14 atilde aumlregaacute s ad]zSjMJ H JLhZaringY eacute thorn timesOslash yumlauml NihZJ H MJUObn[]ZOslashKj H JU^eNPO^WFJauml[Pcent H NPQcOOaringEFFFG FFFH eacute thorn

timesOslash yuml aacute w$ thorn yuml thorn uacute ouml $ordfdivideacircntilde raquo7ucirc Otilde uacute ouml $ordfdivideoslashuacute ouml $ordfdivideacircyacuteuuml atilde aumlaacute thorn iacute $ w$ thorn yuml ntilde raquo aOtilde SOtimesOslashj atilde aumleacute thorn timesOslash yumlcent aacute w$ thorn yuml uacute ouml $ordfdivideoslashthorn uacute ouml $_divideacirc yuml acirc ntilde raquo ucirc Otilde uacute ouml $ordfdivideoslashuacute ouml $ordfdivideacirc uuml atilde aumlordmaacute ugrave $iacute $ w$ thorn yuml ntilde raquo aOtilde SOtimesOslashj atilde auml JUacutebLNPO H MeJUObn[]ZOslashKj H JUacute^QRhZJUb H fm H MJ_UPJUfR[WbLQ H mUPJUb H [Ph[SX H MeJUacuteNPb H QVUPJOtildebn[]O H []jhXiacutehZ[]Zigravea macr]j(NPO^WNtildeJyO^Oaringaelig Yacuteaagravejaelig agrave aacuteuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yumldacute uuml thorn otilde)yuml eacute aOtilde SOtimesOslashjicircFtimesOslash $ thorn yuml ntilderaquo)aOtilde SOtimesOslashjmiddotQeacute adSi]j

5O H MeJtimesKNih H QsbLjfcNihiexclbLNPYZJIacute[SXIcircntildeaOgravejuaacuteOslashScenteKWFJtimesMNUPJnntilde raquo aOgravejcopyaacute NPO^ H MeJLhZJXiacute[PhZJSeH MeJiexclNP^^Q H QR[]ONPf H JLhlZaringYebn[]ZaringQcO[gXiacutehZ[]Z H MeJ UiNihQcN H QR[]O [SX H MeJiexcl^eJUYbnhQRK H [PhYOcircWQ H MagraveeNihJJjNPf H [gcurrenLJLhZ[^[WNtildeJUPJLheWQsOordmZOslash[]Y H bLNPYZJUYe H MQsYyNP^^Q H Qc[]ONPf H JLhlZoslashQsYyOe[ H

uumlnyacutenthornnyumll13YSordmY_FPy

yenKbrvbarsect =4 acirc $ fhcurrenLJLhZ[^ not [PhaeligJkeNSZOslashKfRJSeampQVXUgraventildea]jaacute yuml Wiexcl cent eshyWiexclQ H MN`KEgrave[]YZQ H QVUPJ bn[]OY H NPO H eQWFJMNUPJSaring

ccedil aacuteFuumlgtthorn timesOslash yuml uumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn otilde)yuml uumlgtthorn otilde)yuml eacute aOtilde SOtimesOslashjicircFtimesOslash $ thorn yuml aOtilde SOtimesOslashj IcircAumlaOtilde SOtimesOslashj cent adSh]j^ ^~IacuteFEumlIgraveFIacute5IgraveFOacuteETHNtildeFETHEacuteshyOacuteAgraven13ETH9 ETH9IgraveumlEumlIgravesup1+ltIgraveFEumltIcircIgraveFETHbIacute5IgraveFETH9shyEacute18 YXqNih0NPY H MeJOBjFZOslashJLhdQcbLNPfeQZOslashKfcJZOslashJUO H N H Qc[]OtimesQsYybn[]ObnJLhOeJU^eSWNtildeJbLNPOZOslash[W^eJUf H MeJNPb H QVUPJaumlbn[]O H []jeh_WQ H MNPOJkBK-fcQcbLQ H KNihNSZOslashJ H JLhdQVcurrenUN H QR[]ObaN[PhNPO[]QcNPOXiacute[PhlZtimesjfcN~VH QR[]OKjaelig[Ph NPO QCZOslashKfcQcbLQ H []OeJraNtildejfRJLhQsNPO Xiacute[PhlZIacutejfcN H QR[]Ogtj^ G JLJra G J H MQcNPOOe5fhSh s jNPO^egraveaJUfcQcO[PJ HH J NPO^ _a[]O H N[]ON H e sSs fjX[PhaeligNPOQcO H JLhZJUY H QcO[eumlbn[]ZOslashKNihdQcY[]OcentEgraveJ H WFJLJUO H MeJ H WNtilde[ZOslashJ H M[B^Y^ iexclO[ H MeJLhOtildeQcO H JLhJUY H QcO[aringhJUBQRJW[]O H MeJtimes^Q=JLhJUO HZOslashJ H M[B^Y[SX$NPb H QVUPJIacutebn[]O H []jehQcY(Kh[PK=[]YZJU^ QcOpoundaw_[]O H N[]ON H J H NPfd^Ve sSs fj^iexclJLhZJSeWFJaumljYJ H MeJaumlfRJUPJUfYZJ H ZOslashJ H Me[W^ NiKKhZ[]NPbdM KhZ[PKEgrave[]YJU^centm q YMeJLhNPO^G J H MQcNPOa q YZMJLh NPO^ G J H MQcNPOe fhSiSi]j centj H hJ[]QR[]OWVcentNPYJU^ NPb H QVUPJeumlbn[]O H []jehdYZaringNmNPfcYZ[ centEgraveJQZOslashKfcJZOslashJUO H JU^7centmjYQcO[`XNtildeV4YK-fcQcOeJUYXiacute[PhaeligNPOJkWKfcQsbLQ H K-NihNSZOslashJnVH JLhQcurrenUN H QR[]O ayhZJUbLQc[]Y[ NPO^XNihfcNPj^Oe sSs fj^shyMJ`PJmeumlQc^eJUN [SX H MeJOslashfRJUPJUfampYJ HZOslashJ H M[B^QsY H [ QcO H hZ[W^jbnJaumlNPO`NPjkWQsfcQcNihYmXiacutejOb H QR[]O l a2atildeltszligaumlgtszligYagravejYZjbdM H MN H YacuteaagravejQcY H MJtcurrenLJLhZ[OacutefRJUPJUfYJ H [SX l ^OcircMJXiacutejOb H QR[]O l QsYaelig[SX H JUO bMe[]YJUO H [centEgraveJ H MeJYZQ[]OeJU^ ^QcY H NPObnJordfXiacutejOb H QR[]O[SXQYacuteaagraveje-NPO^ QsY H MeJUObdMNihNPb H JLhQVcurrenLJU^acentmKaring

YacuteaagravejOcircaacute a2atildeltszligaumljPO l a2atildeshyszligaumlKszligYagravejaacute s a2 s jMQcYOcirc0jfRJLhQcNPOordmXiacute[PhlZtimesjfcN H QR[]O KhZJUYZJUO H YFYJUPJLhNPfEgraveNP^UiNPO H N[PJUYga G J H MQcNPOOeKfhShS]j^not QRhY H fVmSe H MeJabLjehYUPJ l ZaringNmcenthJUN`[PhoZOslashJLhY[PJNPY H MJXiacutejOb H QR[]O l JUP[]fUPJUYeNPO^ H [PK=[]fc[S[]QcbLNPfbdMNPO[PJUYFNihZJ H MBjY$JUNPYZQsfVmOslashMNPO^fRJU^^ G JUbn[]O^fVmSe H MJJUP[]fVUWQcO[XqjOb H QR[]O l a2atildeshyszligaumlKszligYagravejNPfVWNmWY(hZJZaringNPQcOY(NlaquoXiacutejOb H QR[]O NPfcfR[WQcO[timesJltz bLQRJUO H OBjFZOslashJLhVQcbLNPfFYZbdMeJZOslashJUY^OcircMQRh^fVmSe H MeJ[PJL[]ZOslashJ H hQcb KhZ[PKEgraveJLh H QcJUYT[SX H MeJ bLjehYUPJSe$fcQV`PJ H MeJbLjehlU~N H jehJ NPO^ H MeJOslashOe[PhlZ NPfshyUPJUb H [PhordfJUfs^eacute e=bLNPO centEgraveJIacuteJUY H QZaringN H JU^euml^QRhZJUb H fmXiacutehZ[]Z H MeJTfcJUPJUfgYJ H XqjOb H QR[]Oaring aacute V ucirc l l uuml NPO^ eacuteecircaacute l l a2FfjMJJUP[]fsj H QR[]O JBjN H QR[]O H MeJUO centEgraveJUbn[]ZOslashJUYaringaelig l aagravejaelig agrave aacuteegraveccedilacute l a2 jMJregUPJUfR[WbLQ H msup1XiacutejOb H QR[]OxccedilEQcYIacutebn[]ZaringKj H JU^7[]OfVm[]O H MeJbLjehYUPJYacuteaagravejaumlcent-j H WFJbLNPO Jk H JUO^ Q H YFJkBKhZJUYZYZQR[]O H [ H MeJiexclWMe[]fRJUacuteQZaringN[PJOtilde^e[]Z NPQcOoOumlordf^[OslashQZOslashKfRJZaringJUO HH MeJIacutefRJUPJUf9YJ H ZOslashJ H Me[W^OeY[]fsj H QR[]OYuZtimesjY H centEgraveJgXiacute[]jO^ H [ bLQRhbLjZyUPJUO H Kh[PcentfRJZaringY

uumlnyacutenthornnyumll13YSordmY_FP

s $amp)(+-)013021+345627893lt=gt9A6CBbn[]ZaringQsO[ Xh[]Z H MeJpoundXqNPb HH MN H`H MeJYZQV[]OeJU^ ^QcY H NPObnJumlXqjOb H Qc[]O l QcYaOe[ H NY[]fsj H QR[]O[SX H MeJyiexcl a2 jeEgraveYJLJa []ZOslashJUYNPO^ not NPjF[PJLhNPYe sSsSs jyacuteXiacute[Phiexcl^J H NPQcfcY^5Oaelig[]jehWF[PhY`gte H MJuXiacutejOb H QR[]O l QcYamphZJUQsOQ H QcNPfcQcurrenLJU^TY[ H MN H Q H hZJZaringNPQcOYampNOtilde^QsY H NPObnJXqjOb H QR[]OenYZJLJ5aq jecentEgraveJLh H NPO^gcOtilde[PhdOeKhZ[PcentY H e sSs fJLcenthZJUjFUPJSe sSsSs jOXiacute[Ph^J H NPQcfcY[]O H MJOtildehZJUQcOQ H QsNPfcQVcurrenUN H QR[]O JBjN H QR[]OO^5Oeuml[Ph^eJLh H [QCZOslashKhZ[UPJaringOjFZaringJLhQcbLNPfJltz bLQRJUObmSeOWFJaringbn[]ZOslashKj H J H MeJOslashJjN H QR[]O[]O NIacuteONihhZ[Wcent-NPO^aringJUObLfc[]YZQcO[ H MJiexclfRJUPJUf s [SX H MeJUacutefRJUPJUf-YJ H XqjOb H Qc[]OO^ JUacuteNPfcY[jYZJZtimesjf H QRhZJUYZ[]fcj H QR[]O H JUbdMOQBjeJUYcentmZaringN`BQsO[ H MeJFNPb H QVUPJ(bn[]O H []jh$JUP[]fVUPJcopyhY H[]ONOslashfc[W hZJUYZ[]fcj H QR[]O QZ N[PJS^FMeJordfONPfbn[]O H []jeh[Pcent H NPQcOeJU^Xiacute[Ph H MQcYhJU^jbnJU^QZ N[PJaumlQcY H MeJUOjYJU^ NPYNPOQsOQ H QcNPfEgravebLjehYUPJordfXiacute[Ph H MJOtildehZJUNPfgYZQVcurrenLJaumlQCZaringN[PJS^

EparaacuteAgravegtmicrosup1acuteIKJcedilJT2MgtI MraquowMgtmicrosup1MAgravegtacuteIltacuteMgtPltAtilde iquest acuteAgravegtT2MKIshyAtildeAcirccedilAtildeacuteNicircMgtI cedilAEligMgtmicroOcircacuteOgraveJTCJT13MKI sup2OcircacuteJordfsacuteacuteI Jfrac14ltacutegcedilFLT2cedilIshyROgraveacuteAtilderaquoAMLBqoLacute13AtildeR]cedilsup32acute GmicrobcedilAgraveacuteAtilde5O H MQcYUacuteYJUb H QR[]OOeOWFJOslashKhZ[PKEgrave[]YJaeligY[]ZOslashJOslashhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhY H [YJ[iVZOslashJUO H M[]ZOslash[S[PJUOeJL[]jYiexclhZJ[]QR[]OYiexcl[]Ofrac34[PhZJmBYbLNPfRJIacuteQZ N[PJUY^gtMJUYJIacute^eJUYbnhQRK H [PhYiexclNihZJcentNPYZJU^[]O H MJZaringQcOQZaringQVcurrenUN H QR[]O [SX H MeJU~NihdQcNPObnJUYauml[SX H MJ H WF[`bn[]OYZQc^eJLhZJU^OacutehZJnV[]QR[]OY^ 5O H MJ7YJUbn[]O^ K-Nih H e H MJQZOslashKEgrave[Ph H NPObnJOacute[SX H MeJNP^^Q H QR[]ONPf H JLhZaringYebn[]ZaringQsO[XiacutehZ[]Z H MeJiexclU~NihdQcN H QR[]O [SX H MeJUacute^eJUYZbnhQcK H [PhYWQ H M H MeJiexclJUP[]fUBQcOF[IacutehZJ[]Qc[]OYeQcY9MQV[]MfcQ[]M H JU^O^ G QCZOslashKfRJJkWNSZaringKfRJUY9YMe[W H MeJ0QZOslashKEgrave[Ph H NPObnJ$[SX H MeJUYJ0NP^^Q H QR[]ONPfH JLhlZ Y H [ NPbMQRJUPJ H MeJOtildeJkWKEgraveJUb H JU^aYJ[]ZaringJUO H N H QR[]O^^f^laquoIgraveIcirc=KEgrave(FETHOEacuteltEgraveIcircEcircgtNtildeltIcircIgrave8 EacuteshyOacute ETH9Igravek+NtildeshyEgrave13NtildeshyOacute=KIgraveC0EacuteshyEgraveh4ltEgraveOIgravesup1QIcirc=NtildeltEumlOgraveIgrave2Iacute Ntilde4ltIgraveIcircMJQcO H JUOYZQ H mregXiacute[Phu[PhZJmWYZbLNPfRJaumlQZ N[PJUY(QcYhZJLKhZJUYZJUO H JU^centm NlaquoXqjOb H QR[]OOtilderegaringOgraveOumlOtilde 13ordfcentwntilde Otilde 13laquo^ JaKhZ[PKEgrave[]YJ H [bZaringQcOQZaringQVcurrenLJ H MeJU~NihdQcNPObnJUYOslash[SX H MeJ H WF[bn[]OYZQc^WVJLhZJU^ Me[]Zaring[S[PJUOeJL[]jY hZJ[]Qc[]OY QcO [Ph^eJLh H [YJ[]ZOslashJUO H H MeJZ^uMJXiacute[]fcfR[WQcO[^eJUYbnhQRK H [PhY(NihJaumlYZj[S[PJUY H JU^OaringEFG FH uuml thorn UgraveUacuteUuml yuml aacutecntildeaLuOcentUgraveUacuteUuml juuml thorn times Oslash yuml aacutecntildeaLuOcenttimes Oslash juuml thorn otilde)yuml aacutecb a2Ograve]jWMJLhZJjntildea]jQcYNOslashKEgrave[]YZQ H QVUPJordfXiacutejOb H QR[]O [SX$bLfcNPYZYEacuteograve aOtilde 13yj(NPO^kb`NOslashKEgrave[]YZQ H QUPJaumlbn[]OWVY H NPO H ^MJTbn[]ZOslashKj H N H Qc[]O[SX H MeJUPJUfR[BbLQ H mUPJUb H [PhaumlQcY^JU^jbnJU^tXiacutehZ[]Z H MeJIacutebn[]ZOslashK-j H N~VH QR[]O`[SX H MeJaelig^eJLhQVUiN H QVUPJIacute[SX H MeJtimesbnhdQ H JLhQR[]Opoundocirc7^eJUPJUfR[PKEgraveJU^ QcO G JUb^^ macr^feWMQsbMfRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[aeligJUP[]fcj H Qc[]O JjN H QR[]OOaringaelig Yacuteaagravejaelig agrave aacuteethntildeaLu centtimesOslash j ntildeaLu centUgraveUcircUacuteUuml jb ntilderaquo)aLu centtimesOslash jaaOtilde S timesOslash j cent u centtimesOslash j ntilde raquo aLu centUgraveUcircUacuteUuml jaaOtilde SUgraveUcircUacuteUumlj cent u centUgraveUacuteUuml jIcirc13eacute a2Sj

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ fMJiexclYZQcOF[]fRJiexclK-NihNSZOslashJ H JLhcopyWNtildeJOtildeOeJLJU^ H [aringNP^~ZjY H QcY H MeJUacuteYYZOslash[B[ H MQcO[timesKNihNSZOslashJ H JLhb^5OregXqNPb H e H MeJ X [W ethb MNPY H MeJiexclKhZ[PKEgraveJLh H QRJUYNtilde[SXYYZOslash[B[ H MQcOF[IacutecentEgraveJUbLNPjYJOtildeQ H ZOslash[UPJUYH MeJUacutebLjehYUPJUacuteQcO H MeJUacute^QRhZJUb H QR[]O [SX9Q H YfRJUOF[ H MregXqjOb H QR[]ONPfQa G Qs^^QBQeJ H NPfd^VeOfhShS]j^^ ^~IacuteEacuteltEgraveETHOgraveNtildeltOacute=KIgravefrac34Eacute10frac34ETH9Igrave Ntilde8182ETHEacuteshyOacuteNtildeshyEumlETHIgraveFEgraveOIacute5Icirc5O[Ph^JLh H [7JU~NPfcjN H J H MeJ QZOslashKEgrave[Ph H NPObnJ`[SX H MeJ`NP^^Q H QR[]ONPf H JLhlZaringYX[Ph H MeJYJ[]ZaringJUO H N H QR[]OeuWNtildeJpoundZaringN`PJ H MJeumlNPb H QUPJbn[]O H []jehaJUP[]fVUPJ H MehZ[]j[]M H MJ iexcla2SjeQsObLfcj^QsO[ H MeJaumlNP^^Q H QR[]ONPf H JLhlZaringY^ q O H MeJUacute[ H MeJLhMNPO^OeWNtildeJaumlNPfcYZ[ZaringN`PJQ H JUP[]fUPJfrac34WQ H M H MeJwXiacute[]fcfR[WQcO[ WhZ[]OF[JUP[]fcj H QR[]OJjN H Qc[]O H MN H ^e[JUY Oe[ HQcObLfcj^eJ H MeJaumlNP^^Q H QR[]ONPf H JLhlZaringYaringaelig Yacuteaagravejaelig agrave aacuteethntildeaLu centtimesOslash j ntildeaLu centUgraveUcircUacuteUuml j`b Qeacute iuml a2Ogravemacr]jnot [Ph H MeJOtildeJkWKEgraveJLhQZOslashJUO H YeWFJ H N`PJntildeaOgravejOcircaacute ILK KafcediliexclOgravejWMQsbM[]QVUPJUYntilde raquo aOgravejaacutefdOafcedil]j(NPO^ H MeJgUiNPfcjeJOtilde[SX H MeJaumlKNihdNSZOslashJ H JLhEacutebaQcY(YJ HH [frac34f s ^OcirckBKEgraveJLhQCZOslashJUO H Y NihZJ KEgraveJLhYX[PhZOslashJU^ []O NYmWO H MJ H Qcb`QCZaringN[PJumlZaringNP^eJeumljeK [SXTNPO

Me[]Zaring[S[PJUOeJL[]jYYYBjNihZJ[SX9QcO H JUOYZQ H mwf s []O NIacutecentNPbl`[PhZ[]jO^ [SX9QcO H JUOYZQ H mtf s ^ []NPjYZYZQsNPOOe[]QcYJUacute[SXUiNihQcNPObnJ s QcY(NP^^eJU^ H [ H MQcY(YmWO H MJ H QcbOtildeQZaringN[PJS^MeJOtildeJUP[]fcj H QR[]Oa[SX H MeJTNPb H QVUPJtimesbn[]O H []jehUacute^ehQUPJUOcentmpounda2SjQcYu[]QVUPJUO`QcO not QV[^ WMQcfRJ H MeJ[]OeJ`[Pcent H NPQcOeJU^ jYZQcO[ a2Ogravemacr]j QcYordm[]QUPJUO QcO not QV[^ ^ J bLNPO hZJZaringNihY`H MN H WMeJUO H MeJoiexclQsObLfcj^eJUY H MJ NP^^Q H QR[]ONPf H JLhZaringYe H MJ YYBjNihZJ QcYgWFJUfcfYJ[]ZaringJUO H JU^acirca not QV[^ ^bjeuWMeJLhJUNPYWiexclMeJUO H MeJ |iexclD^e[BJUY Oe[ H QsObLfcj^eJ H MeJUYJNP^^Q H QR[]ONPf H JLhZaringYwWFJ7[Pcent H NPQcO N bLQRhbLfcJOacuteQcOY H JUNP^ [SX H MeJ7JkBKEgraveJUb H JU^YYBjNihZJa not QV[^ ^bj^MeJUYJhZJUYZjf H YNtildebLNPOcentEgraveJcentEgraveJ HH JLh(jO^eJLhY H [[W^WMQcfRJNPONPfmcurrenUQcOF[ H MeJiexclUPJUfR[WbLQ H mUPJUb H [PhYUacute[SXNtildeJUNPbMJUP[]fsj H QR[]O JjN H QR[]OO^ Jaringbn[]ZOslashKNihZJ H MeJ H WF[ JUP[]fcj H QR[]OYiexcl[SXH MeJlaquoUPJUfR[WbLQ H mwUPJUb H [PhYauml^jehQcO[ H MeJaeligKhZ[PKN[]N H Qc[]Oeuml[SX H MeJOslashbLjehYUPJwa2WiexclQ H Me[]j HH MeJcentEgrave[]jO^NihYmVcent-NPYJU^ H JLhlZb j^MeJ(JUP[]fcj H Qc[]OOslash[SX H MeJNSZOslashKfsQ H j^eJ[SX H MeJyacuteUPJUfR[Wb|VQ H mregUPJUb H [Ph[SXQ|iexcla2SjFQsY[]QUPJUO QcO not Q[aqYj^ ^ ^OecurrenJSe Xfrac34]eWMQsfRJ H MeJOtildeNSZOslashK-fcQ H j^eJ[SX H MeJUPJUfR[WbLQ H mwUPJUb H [PhOtilde[SX||iexclacirca2Ogravemacr]jiexclQcY []QUPJUO`QcO not QV[aqYj^ ^ ^OecurrenJSe Xfrac34]^ JOslashbLNPO[PcentYZJLhYUPJ H MN HaringH MeJUPJUfc[BbLQ H msup1WiexclQ H Me[]j HaeligH MeJNP^^Q H QR[]ONPf H JLhlZaringY QcYaeligNbn[]OY H NPO HWMJLhZJ [PcentUWQR[]jYfVm H MJaQZaringN[PJfrac34XJUN H jehJUY ^e[OacuteO[ H NiKKEgraveJUNih^ q O H MeJabn[]O H hNihYmH MeJaumlQCZaringN[PJordfXJUN H jhZJUYuWFJUfcfNiKKEgraveJUNihQcO H MeJordfUPJUfR[WbLQ H m QcObLfcj^QcOF[ H MeJaumlNP^^Q H QR[]ONPfH JLhlZ Yya not QV[aqYj^ ^ ^OecurrenJSe Xfrac34jiexclNPO^ Y[ H MeJaumlYljNihJTbLNPO centEgraveJordfWNtildeJUfsfYJ[]ZOslashJUO H JU^O^MeJyKhZJUWQR[]jYEgravehJUYZjf H YgYMe[W H MN H Q H QcY[SXeKhQCZOslashJ$OeJUbnJUYZYZQ H m H [ H N`PJQcO H [NPb|Vbn[]jO H0H MJNP^^Q H QR[]ONPf H JLhZaringYeWbn[]ZaringQcO[XhZ[]Z hZJ[]QR[]OeV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhYeQcO[Phd^eJLh H [ hZJUNPbdMaN H hdjeJgZaringQcOQCZIacutejFZ [SX H MeJaumlbnhQ H JLhdQR[]OO^

uumlnyacutenthornnyumll13YSordmY_F

S $amp)(+-)013021+345627893lt=gt9A6CBEIumlparaacuteAgravegtmicrosup1acuteIKJcedilJT2MgtI MraquoordfAEligMgtsup32MLwMKmicrobMgtAgraveacuteIshyacuteMgtPltAtilde iquest acuteAgraveKT13MKIshyAtildeAcirclaquocedilFAtildeacuteNicircMKIJfrac14ltacutepoundAEligMAringcedilFLT2cedilIltR]acuteHcedilJLTOcircfrac12sup3T13ROgravecedilJT2MgtI JMAgraverltcedilFR]acuteacuteJacuteR]JT2MgtIicircT2ItT2NQacuteM paraacutePshyacuteIltR]acuteAtildeMQcY0K-Nih H ^eJUNPfcYWQ H M H MeJOtildeYJ[]ZOslashJUO H N H QR[]O [SXMe[]ZOslash[S[PJUOeJL[]jY(hZJ[]QR[]OYQcOZtimesjfuVH QcYZK=JUb H hdNPfQZaringN[PJUY^ YNPOaJkWNSZaringKfRJSeWFJIacuteYZMe[W H MN HiexclH MeJTbn[UiNihQcNPObnJZaringN H hQVkbLNPOacent=JIacuteNUPJLhYm KEgrave[WFJLhYXqjf H [B[]f H [ YJ[]ZOslashJUO H Me[]Zaring[S[PJUOeJL[]jYbn[]fR[PhiexclhJ[]QR[]OY^F5OXqNPb H e H MeJtimes^eJ H JLhlZaringQsONPO H [SX H MeJTbn[U~NihQsNPObnJZ N H hQkKhZ[UPJUY H [ centEgraveJIacuteNaringhJUfRJU~NPO Hbn[]fR[PhaelighZJ[]Qc[]O7M[]ZOslash[S[PJUOeJUQ H msup1ZOslashJUNPYZjhZJZOslashJUO H a G NPO[SWQcOeJ NPO^r[PhdOeJSeufhShSi]j^_`QcOQZ QVcurrenUQcO[ H MQcYjNPO H Q H m ZOslashJUNPOY H MN H WFJwWNPO HH [^eJUbnhZJUNPYJ H MeJeumlbn[]ZaeligVKfcJkWQ H m[SXUacuteNeumlhZJ[]QR[]Oa hdNmJ H NPfd^Ve sSs fampN H JUjke sSsSs j^MQcY H [B[]fuZaringNmKhdNPb H QcbLNPfcfVm cent=JaumljYJU^X[Ph XiacuteNPbnJtimes^eJ H JUb H QR[]OaQsO QZaringN[PJaumlYJBjeJUObnJUY^macr^f^laquoIgraveIcirc=KEgrave(FETHOEacuteltEgraveIcircEcircgtNtildeltIcircIgrave8 EacuteshyOacute ETH9IgraveAgrave=Eacute3+NtildeshyEgrave13NtildeshyOacute=KIgravefrac34Iacute_NtildeFETHEgraveEcirc20EacuteshyEgrave=EacuteshyEumlEacuteshyEgrave2Iacute Ntilde4ltIgraveIcircMJQcO H JUOYZQ H mxXiacute[Ph bn[]fR[Ph QCZaringN[PJUYaringQcYOslashhJLKhZJUYJUO H JU^centm7NpoundXiacutejOb H QR[]OOtildeegravearingOumlOtilde 13ordfcent ntilde Otilde 13 WMeJLhZJ Otilde aacute Otilde szligYOtildeOgravecentszligYOtilde13ordf ^iexclXm NPONPfR[S[SmAumlWQ H M H MeJOacuteY H j^Fm Xiacute[Ph[PhZJmWYZbLNPfRJFQZaringN[PJUYeWNtildeJZaringQcOQCZaringQVcurrenLJ H MeJNtilde^J H JLhlZaringQcONPO H [SX H MeJFbn[UiNihQcNPObnJcopyZaringN H hQVk[SX H MeJTbn[]OYQc^eJLhZJU^hZJ[]Qc[]OY^ J5ZaringNmaringNPYYZjFZOslashJ H MN H JUNPbdM bn[]fR[PhFhZJ[]QR[]Oacute13 QsYOcircZOslash[W^eJUfcfRJU^OslashcentmOslashNg[]NPjYYZQcNPO^QsY H hQRcentj H QR[]Oeuml[SXyacuteZOslashJUNPOiexclSegraveaacute S szligPS cent szligPS NPO^7bn[UiNihQcNPObnJZ N H hQk5^MeJKh[PcentNicentQcfcQ H maring^eJUOYQ H moXiacutejOb H QR[]O QcYu[]QUPJUO centm H MeJgXiacute[]fcfR[WQcO[aeligJkWKhZJUYZYQR[]OOaring

$ampamp aOtildejOcircaacute fa )( j +cent aq^J H ayacutejj cent JkWK- f aOtilde Sltj thorn aOtilde Sltj a2Ograve]jG [eZaringQcOQZaringQVcurrenUQcOF[ H MJbn[U~NihdQcNPObnJuZaringN H hQktimes^eJ H JLhlZaringQcONPO H [SX-NPOtimesJUP[]fVUWQcO[hJ[]QR[]ONiKKEgraveJUNihY H [OslashcentEgraveJNtimeshZJUfcJU~NPO HH [[]f H [ordmZaringN`PJ H MQcYFhZJ[]Qc[]O bn[]OUPJLhY[PJ H [WFNih^Y H MeJbLfR[]YZJUY H Me[]ZOslash[S[PJUOeJL[]jYbn[]fR[PhiexclhZJ[]QR[]OO^9J H jY$Oe[ H J timesOslash NPO^0copyUgraveUcircUacuteUuml H MJbn[UiNihQcNPObnJ5ZaringN H hQcbnJUYy[SX=hJUYKEgraveJUb H QVUPJUfVmordmOuml timesOslash aagravejNPO^tOuml UgraveUacuteUuml aagravejaring

atilde aacute213 u Patilde u centatilde u atildeu cent atilde u centcentatilde u cent4atildeu5 atilde u5centatilde u54atilde67 a2zSj

WMJLhZJSaringEFFG FFH u times aumlatilde aacute iacutefaring w aring thorn yuml aOtilde times S times atilde jaOtilde auml S auml atilde j atilde aumlS times atilde aacute iacutefaring w aring thorn yuml Otilde times a2atildeltszligaumlj atilde auml WQ H M aacuteiVIgraveOacute[Ph Kf5

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ J [PcentUWQR[]jYZfm`MNUPJacuteu times aumlatilde aacuteu auml timesatilde ^shy9J H jYaumlO[ H J ^eJ H a atilde j H MJ ^eJ H JLhlZaringQsONPO H [SXH MeJaumlbn[U~NihdQcNPObnJZ N H hQkWiexclMQcbMJkBKhJUYZYZQR[]O QcY H MJgX[]fsfR[WQsO[aring

^eJ H a atilde jumlaacute u Patilde u centcentatilde u 4atilde u centatilde u atilde u cent4atilde u Patilde u cent4atilde u cent4atilde u centcentatilde u atilde u atilde u 4atilde u centatilde u centatilde a2Ogravei]jnot jOb H QR[]OY [SX H MeJeumlbn[UiNihQcNPObnJpoundZaringN H hQk ^eJ H JLhZaringQcONPO H YNihZJ jYJU^ NPY hJ[]QR[]O^eJUYbnhQRK H [PhY^ JIacutebMe[B[]YJ H MJordfX[]fcfc[WQcOF[aeligYZJ H [SX$^eJUYZbnhQRK H [PhYaringEFG FH uuml thorn UgraveUcircUacuteUuml yuml aacute98ordfaq^eJ H acopyUgraveUcircUacuteUumlAjjuuml thorn timesOslash yuml aacute98ordfaq^eJ H a timesOslash jjuuml thorn otilde)yuml aacuteOslashb a2Ograveh]jWMJLhZJ8ordfaOgravejFQcYNOslashKEgrave[]YZQ H QVUPJiexclXiacutejOb H QR[]O [SXampbLfcNPYZYograve aOtilde 13yjFNPO^Cb`NOslashKEgrave[]YZQ H QVUPJOtildebn[]OWVY H NPO H ^gJ H jYNtildeOe[W WhQ H J H MeJJUP[]fcj H Qc[]OaringJBjN H QR[]O [SX H MeJiexclNPb H QUPJbn[]O H []jehcentmbn[]ZOslashK-j H QcO[ H MJIacute^QEgraveJLhZJUO HH JLhlZaringYiexcl[SX_a j^J H NPQcfcYiexcl[SX H MeJIacutebn[]ZaringKj H N H QR[]O bLNPOcentEgraveJgXiacute[]jO^QsOaNiKKEgraveJUO^QVk X5^gtMJaumlJUP[]fcj H QR[]O`JBjN H QR[]O[SX H MJIacuteNPb H QVUPJaeligbn[]O H []jhQcY H MJgX[]fsfR[WQsO[aringaelig Yacuteaagravejaelig agrave aacute8gaq^eJ H atimesOslashjj 8ordfaq^eJ H a UgraveUcircUacuteUuml jj`b admacr s jlt8Icircraquodaq^eJ H a times Oslash jgt= ccedil A B egrave aOtilde S timesOslash jaOtilde B5 S BtimesOslash jB^eJ H aDC EBtimesOslash ja fj BGFH amp^eJ H atimesOslashj48 raquo aq^eJ H atimesOslashjj 8Icircraquodaq^eJ H a UgraveUacuteUuml jgt= ccedil I B egrave aOtilde Eacute S UgraveUcircUacuteUuml jaOtilde B S BUgraveUcircUacuteUuml jB^eJ H aDC JBUgraveUacuteUuml ja fj BKFH amp^eJ H a UgraveUcircUacuteUuml j48 raquo aq^eJ H a UgraveUcircUacuteUuml jjcedil13eacuteMJZaringN H hdQkLC JBatilde QsY ^JU^jbnJU^icircXh[]Z H MJeumlbn[U~NihdQcNPObnJbZaringN H hdQkM atilde centm YZjeKeVKhJUYZYZQcO[ H MeJ uuml UumlON hZ[WENPO^ H MeJ I UumlON bn[]fcjFZaringO^MeJeumlfcNPY H Xiacute[]jeh fsQcOeJUY [SX H MeJJBjN H QR[]ONihZJ H MeJOtildeNP^^Q H QR[]ONPf H JLhZaringY(bn[]ZaringQcO[XiacutehZ[]Z H MeJiexclU~NihQsN H QR[]O [SX H MeJOtilde^eJnVYZbnhdQRK H [PhYWiexclQ H Mordmagrave^ Y0Q H MNPYycentEgraveJLJUOOslashKhJUBQR[]jYZfVmTKhZ[UPJU^X[Ph[PhZJmWYZbLNPfRJiexclQCZaringN[PJUYeH MeJUYZJ H JLhlZaringYMNUPJ H [ cent=Jaumlbn[]OYZQc^eJLhZJU^ QsO[Ph^eJLh H [regZ N`PJ H MeJTNPb H QUPJTbn[]O H []jhbn[]OUPJLhY[PJ H [WFNihd^YNZ QcOQZtimesjFZ [SX H MJTbnhQ H JLhQc[]OO^macr^ ^~THORNUgrave2FIgraveFEgrave2Iacute_IgraveFOacuteshyETHOgraveNtildeshyEumlEgraveOIgraveIcircdEumlETHOIcircnot [Ph H MJ JkWKEgraveJLhQZOslashJUO H YeQWNtildeJ H N`PJCntildea]jordmaacute ILK Kaf[]jgWMQsbMsup1[]QVUPJUYnntilde raquo aOgravejaacutefdOafWOgravej(NPO^8ordfaOgravejaacute ILK KafIcirch cent juWMQcbdMt[]QVUPJUY8 raquo aOgravejaacute ETHOafIcirch cent j^ JbdMe[[]YZJ bbaacute f s ^QMeJaringbn[]fR[PhtimesYKNPbnJ YJUfcJUb H JU^QcYaQPszlig l szligicirclaquojeltWMeJLhZJwaOtilde aacuteRPordmjhZJLKhZJUYJUO H Y H MeJfsjFZaringQcONPObnJNPO^waOtildeOgravecent5aacute l j$NPO^frac34aOtildeS aacuteOslashicircj$hZJLKhZJUYJUO HyH MeJ H WF[bdMehZ[]ZaringQcONPObnJUY^ not [Ph H MeJbn[]ZaringKj H N H QR[]OOslash[SX H MeJuUiNihQcNPObnJSei[]Ofm H MeJfcjZaringQcONPObnJQcY(jYJU^O^

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CB5Oaring[Phd^eJLh H [aeligYJ[]ZOslashJUO H NPO Me[]ZOslash[S[PJUOJL[]jY0hJ[]QR[]OOeOgraveWFJiexclY H Nih H WQ H M NPO QcOQ H QcNPf

bLjehlUPJ0QcOYZQs^eJ H MJ0hZJ[]QR[]Oauml[SXWQsO H JLhZJUY H ^MeJybLjhYUPJ0QcY H MJUOTYZjeKK=[]YZJU^ H [JkWKNPO^jO H Qcf(Q H hJUNPbMeJUY H MeJ centEgrave[]jO^NihlmOacute[SX H MeJabn[]ObnJLhdOeJU^ Me[]Zaring[S[PJUOeJL[]jYaringhJ[]QR[]OO^MJtimesbLjehlUPJtimes^e[BJUYUacuteOe[ H [P[cent=JmP[]O^ H MJUYJaeligcent=[]jO^NihQRJUYiexclYZQcObnJSe=[UPJLh H MeJLhZJSe H MeJbnhQ H JLhQR[]OOacuteQsObnhZJUNPYJUYtimescentEgraveJUbLNPjYJ H MeJU~NihdQcNPObnJOcircu centtimesOslash [Ph H MeJ bn[U~NihdQcNPObnJtZaringN H hQVk^eJ H JLhZaringQcONPO H ^eJ H atimesOslashjUcirccentOtildeQsObnhZJUNPYJS^MeJaringNPfV[P[PhQ H MZEcentNPYJU^[]O H MeJ bn[UiNihQcNPObnJZaringN H hQVkeumlQcYaumlK=JLhlX[PhlZaringJU^euml[]ONPOQZ N[PJ [SX H MeJUBQs^eJL[`YJBjeJUObnJrnN`WQVmP[]peumlQcO[Ph^JLh H [euml^eJ H JUb HaeligH MeJYKEgraveJUN`PJLhUTYXqNPbnJS^gtMJaumlJUP[]fcj H QR[]O[SX H MJIacutebLjehYUPJIacuteQcYu[]QVUPJUO QcO not QV[^ macr^gtMeJTbn[]O H []jehiexclJUP[]fUPJUYH [ONPfcfVmbn[]OUPJLhY[PJaelig[]O H MeJIacutecent=[]jO^NihQRJUY[SX H MJyXqNPbnJa not QV[^ macr^bj^OMeJyXiacuteNPbnJaeligQcYH MeJUONPbLbLjehdN H JUfVm YZJ[]ZOslashJUO H JU^^FMeJUacuteNSZOslashKfcQ H j^eJ[SX H MeJiexclUPJUfR[BbLQ H m QsYFNPfsY[laquo[]QVUPJUOQcO not QV[aqYj^ macr^ ^OecurrenJSe Xfrac34jNPO^WNtildeJUacutebLNPO [PcentYJLhYUPJ H MN HFH MeJ5XiacuteNPbnJUacutehZJ[]QR[]O QcYUPJLhYmWFJUfcf^eJUfsQZaringQ H JU^regXhZ[]Z H MJ[ H MJLhhZJ[]QR[]OY^MJ5UPJUfc[BbLQ H m[]QUPJUO QcO not QV[aqYj^ macr^ ^OecurrenJSe XQcObLfcj^eJUY H MeJNP^^Q H Qc[]ONPf H JLhlZaringYFbn[]ZaringQcOF[yXiacutehZ[]Z H MeJ5UiNihQcN H QR[]O [SX H MeJiexcl^eJUYbnhQRKeVH [PhY5WQ H Magrave`centj H ^e[BJUYOtildeOe[ H QcObLfcj^eJ H MeJaeligcentEgrave[]jO^NihlmVcentNPYZJU^ H JLhlZ WMQcbMeumlQcYUacuteNYYZaring[[ H MQsO[ H JLhlZ^KMeJtimesNSZOslashKfcQ H j^eJOtilde[SX H MeJyUPJUfc[BbLQ H maQcYiexclOe[PhlZaringNPfcQcurrenLJU^ centEgraveJ H WFJLJUOs NPO^ macrSmacre$YZjbdM H MN HTH MeJ OeJ[]N H QVUPJoU~NPfcjJUYIacuteNihZJ fR[WFJLh H MNPO f i`NPO^ H MeJKEgrave[]YZQ H QUPJ[]OJUYNihZJTMQ[]MeJLh H MNPOpoundf i^ J bLNPObn[]ZaringKNihZJ H MJ QcOQ H QsNPfUPJUfR[BbLQ H m[Pcent H NPQcOJU^jYZQcOF[ H MeJ bn[U~NihQsNPObnJZaringN H hdQk admacr s juWQ H M H MeJOtilde[]OeJOtilde[Pcent H NPQcOeJU^jYQcO[ H MeJordfUiNihQcNPObnJrega2Sj^KMeJordfXqNPbnJTQcYOe[ H WNtildeJUfsf9^eJ H JUb H JU^QcO H MeJUPJUfR[BbLQ H m[Pcent H NPQsOeJU^ajYQcO[ H MeJUiNihQcNPObnJa not Q[^ ^bjWMJLhZJUNPYIacuteQ H QcYIacutehZJUNPfcfmumlWNtildeJUfcfF^eJ H JUb H JU^QsO H MeJQcOQ H QcNPfUPJUfR[WbLQ H m7jYZQcOF[ H MeJbn[iVUiNihQcNPObnJpoundZ N H hQk a not QV[^ ^currencentj^_MeJ UPJUfR[WbLQ H m [Pcent H NPQcOeJU^ jYZQsO[ H MeJumlU~NihdQcNPObnJ^e[BJUYOe[ H NPfsfR[W NPOJltz bLQRJUO H YJ[]ZOslashJUO H N H QR[]O`[SX H MeJyXiacuteNPbnJauml[]O H MeJaumlbn[]O H hNihYm H [H MeJIacutebn[UiNihQcNPObnJlaquoZaringN H hQk^eJ H JLhZaringQcONPO H WMQsbM H N`PJUYUacuteNP^UiNPO H N[PJaelig[SX H MeJtimesbn[]fR[PhQcOFX[PhlZ N H QR[]OO^macr^ ^WVFEumlETH=gtNtildeFETH32EacuteltOacuterETHEacute`0Ntilde=KIgravek8ltIgraveFETHIgrave5=KETH32EacuteltOacute~2Oacute+(8ltIgraveEacute IcircIgrave5euml1IgraveFOacute=KIgraveIcircMJa^eJUYZbnhQcK H [PhYOslashcentNPYZJU^[]O H MJ`bn[UiNihQcNPObnJZaringN H hdQkNihJ`QZOslashK-fRJZOslashJUO H JU^ H [^eJ H JUb H MBjFZaringNPO XqNPbnJUYQcO UWQc^eJL[OacuteYJBjeJUObnJUY^MQsYaring^eJ H JUb H QR[]OegraveZaringNm cent=J`jYJU^Xiacute[PhtUWQc^eJL[ bn[B^QcO[ H [JUObn[W^eJYJUfcJUb H QVUPJUfVm H MeJOacuteMBjFZaringNPOegraveXqNPbnJS^ not [Ph`N []QVUPJUObn[]ZOslashKhZJUYZYZQR[]OOacutehN H QR[e H MeJoXiacuteNPbnJbLNPO7cent=J H hNPOYYZ Q HH JU^bWiexclQ H MN MQV[]MJLhThN H J H [H MeJ^eJ H hdQZOslashJUO H [SX H MeJcentNPbl`[Ph[]jO^O^uMQsY QsO H JLhZJUY H QcO[KhZ[PKEgraveJLh H m QcYUiNPfcjWVNicentfcJuX[PhUBQc^JL[Bbn[]OXiacuteJLhZJUObnJUYe]WMeJLhZJ H MeJ ZOslash[]Y H QZOslashKEgrave[Ph H NPO H NPO^regZOslash[]Y H U~NihdQcNicentfRJQcOFX[PhlZ N H QR[]OQcYfR[WbLN H JU^ []O H MJordfXiacuteNPbnJaq 5ZOslash[]Oe[]j`NPO^tUacutejMNSZaringJUfde sSsSs j^ J QcOQ H QcNPfcQVcurrenLJ H MJhdY H XiacutehNSZOslashJoWQ H M7N`bLQchbLfRJ QsOYZQc^eJ H MeJXqNPbnJ H [ H hNPbY`K^MJUOOeyacuteWFJsup1ZaringN`PJ H MeJNPb H QVUPJ7bn[]O H []jeheumlJUP[]fVUPJjYZQcOF[admacr s jeiexclWQ H MX8ordfaOgravejxaacuteILK KafUgravemiddot cent j^ltMeJregONPfybn[]O H []jehtimes[SX H MeJ bLjehZhJUO H QZaringN[PJ QcY H MeJUOOacutebdMe[]YJUO7NPYNPO QcOQ H QcNPfbLjhYUPJordfX[Ph H MJUacuteOJk H QZaringN[PJS^FMeJOtildeNPfV[P[PhQ H MFZMNPYcentEgraveJLJUOKEgraveJLhYXiacute[PhlZOslashJU^[]OYJUPJLhdNPf$YJjJUObnJUY^MeJaelighZJUYjf H Y5X[Ph H MJaeligYZJjeJUObnJpoundn5JLhQV`p NihJordm[]QVUPJUOQcOnot QV[^ethz^shyMeJaringKNihNSZaringJ H hZJ bMNPYaumlcentEgraveJLJUOYZJ HaumlH [sup1f s ^QMeJordmXqNPbnJ QcYordfWFJUfcfy^J H JUb H JU^NPO^ H hNPbY`PJU^times[]O H MJ|WMe[]fcJyYJjJUObnJS^MJyhZJUYZjf H YOX[Ph H MeJNtildeYZJjeJUObnJnN`WQVmP[]p

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ macrNihZJy[]QVUPJUO`QsO not QV[^ i^ JaeligbMe[B[]YJbaacute s ^ JtimesbLNPO`YJLJ H MN HH MeJXiacuteNPbnJaeligQcYuWFJUfcf^eJ H JUb H JU^aJUPJUOaQVX H MeJaumlbn[]fR[Phiexcl[SXMJLhYZMQRh H QsY(bLfR[]YJ H [ H MJgXiacuteNPbnJIacutebn[]fR[Ph^

YOEAEligMgtIltROgravesup3PshyAtildeT13MKI5O H MQcYKNiKEgraveJLheuWNtildeJKhZ[PKEgrave[]YJN OeJW 0jfRJLhQcNPOAumlZaringQsOQZaringQVcurrenUN H Qc[]OAumlZOslashJ H Me[W^ H [bn[]ZOslashK-j H J H MJUPJUfR[WbLQ H mpoundUPJUb H [Pharing[SXNPONPb H QVUPJ bn[]O H []jeh H MN H JUOYZjehZJUYtimesQ H WQcfcfJUP[]fVUPJ NPYordfXiacuteNPY H NPYOtildeKEgrave[]YZYZQRcentfcJ H [WNih^YIacuteNZaringQcOQCZIacutejFZ [SXN bnhQ H JLhQR[]OeumlQcObLfcj^QcOF[centEgrave[ H MUacutehZJ[]QR[]OeVcentNPYJU^TNPO^OtildecentEgrave[]jO^NihYmVcentNPYJU^ H JLhlZ Y^ q jehgNiKKhZ[]NPbMIacuteQcYcentNPYZJU^Otilde[]OYZMNiK=J[PK H QZaringQVcurrenUN H Qc[]OOslashKhQcObLQRKfRJUY$NPO^ QcYyKEgraveJLhYXiacute[PhlZOslashJU^ QcO H MehZJLJ5ZaringNPQcO Y H JLKYaringf^ltO H hZ[W^jb H QR[]O[SX$NOslash^mWONSZaringQcbLNPfYbMeJZOslashJIacuteQcO H MeJTbnhQ H JLhQR[]OOe ^vF[]ZOslashKj H N H Qc[]Oaelig[SX H MeJ_0jfRJLhdQcNPOaelig^eJLhQVUiN H QVUPJ[SX H MJbnhQ H JLhQR[]OOslashjYZQcO[OtildeYZMNiKEgraveJ

[PK H QZaringQVcurrenUN H Qc[]O H [[]fcYe^vF[]ZOslashKj H N H Qc[]Oa[SX H MeJtimesJUP[]fcj H Qc[]OaJBjN H QR[]O`[SX H MeJaeligNPb H QVUPJtimesbn[]O H []jehiexclXiacutehZ[]ZH MeJT^eJLhQU~N H QVUPJS^

iexcl Ntilde _ cent G NPfcfR[WY H [hJUNP^QcfVm H N`PJNtildeQcO H [NPbLbn[]jO H9H MeJybLNPYJ0[SXBhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H^eJUYbnhQRK H [PhY H MN H NihZJo[]fR[PcentNPfcfVmN HH NPbdMeJU^ H [ H MeJ JUP[]fVUWQcO[ hZJ[]QR[]OYtimesNPO^Y[H MN H UiNihYm^jehQsO[ H MJaumlKhZ[PKN[]N H Qc[]O [SX H MJaumlbLjehYUPJS^ JTYMe[W H MN HH MeJgUiNihQuVN H QR[]O [SX H MeJUYJ^JUYZbnhQRK H [PhdY QsO^jbnJUYNP^^Q H QR[]ONPf H JLhlZaringYQcO H MeJeumlJUP[]fcj H QR[]OJBjN H QR[]Oeuml[SX H MeJaringNPb H QVUPJ bn[]O H []jeh^MJUYJ H JLhlZaringYgZtimesjY H Oe[ H centEgraveJlaquoX[Phl[P[ HH JUOQcO[Ph^JLh H [ hZJUNPbMeumlN H hjeJZ QcOQZtimesjFZ[SX H MeJtimesbnhQ H JLhQc[]OaNPYUacuteQ H MNPYcentEgraveJLJUOKEgrave[]QcO H JU^[]j H QsOJkBKEgraveJLhQZaringJUO H NPfEgravehZJUYjf H Y^

Yfrac34XiacuteNiheumlNPYeumlMe[]ZOslash[S[PJUOeJL[]jYeumlbn[]fR[PheumlhZJ[]Qc[]OY`YZJ[]ZOslashJUO H N H Qc[]OQsY`bn[]ObnJLhdOeJU^OeWFJKhZ[PKEgrave[]YJ H MeJ`bn[U~NihQsNPObnJfrac34ZaringN H hdQk^eJ H JLhlZaringQcONPO H NPY N^eJUYbnhQRK H [Ph^MQcYY H N H QsY H QcbLNPfhZJ[]QR[]OeV4^eJLKEgraveJUO^eJUO H ^JUYZbnhQRK H [PharingNiKK=JUNihdY H [centEgraveJN UPJLhlm7hJUfRJU~NPO HH [B[]fampNPO^eumlY[ Q H MNPYUacutecent=JLJUOeumlYZjbLbnJUYZYXqjfcfVm NiKKfsQRJU^ H [XqNPbnJaring^eJ H JUb H QR[]OQcOfrac34UWQc^eJL[YJBjeJUObnJUY^

iquest acuteraquoacuteLacuteIltR]acuteAtildeagraveIgravefrac14dEcircsup1Atilde5AringiquestLmiddotNtildeIumliquestUumlgIumlUTHORNampAtildeEacutecedilAtilde5AringAcircnAtilde|iquestaacuteIacuteIumlIZEgravefrac14Zcedilfrac12frac14dAringiEcirc]iquestfrac14draquoiEcirc[NtildeIumlagraveAringEacutePAtildecedilwAacute4] uacute_^J^J^ iquest)` igraveraquoLCcedilfrac14cedil4Ecircfrac14draquo~Ecirc(Auml|AringAacuteCcedilfrac14Zcedil4Ecirc

Agrave5AringcedilAcircnAtilde$AtildeAcircnAuml|frac12AringAacutesup1AumldraquoTAringAEligwsup1raquo~ordm(frac12Atilde5AcircnAtilde5frac12AEligwAtildeAacuteampIgrave(Atilde AacuteIcirc~AumlUEcircSaIumligraveraquo13] x4~rv p4PldrRtcoPl|Egraveod5v pv i4vodaumlx4shyl not vsectpqo v tu not Iumlcb$Auml|EacutePAtilde|iquestednfrac14Oumlifrac14draquoIuml

agraveIgrave(Aumldraquo~Auml|Aringiquest~igrave4IumlPfrac14raquoiEcircfWIumliTHORNampAringIcircifrac14Igrave(Atilde5frac12G] divideugrave|ugrave|ugrave iquest` igraveAacuteAtildecedil4frac14ZAacutesup1Acirc|AtildeNtildeEacute~frac14dAgrave4UgraveUCcedilEgravefrac14cedil4EcircUacuteAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoUacuteOgraveregAumldcedilIcirc~sup1Atildecedil4frac14cedilAgrave4Icirc~sup1currenEumlAgravefrac14dfrac12=CcedilEgravefrac14AcircnAtilde5frac12AtildeAacutesup1Igravefrac14ordm|AtildeAgrave5AumlUEcircsup1raquo~ordmIaIumlaeligigraveiacuteraquoS] x4rv p ildrRtcodil|ampod5v pv P4vOtildeodOslashx4shy(l not vFsectpqo v tu not Iumlg frac14raquo~Agrave5AumldAring~AcircnAtildecediliquestehEgravefrac14raquoifrac14|Ecircfrac14Iuml

agraveAringEacutePAtildecedilwAacuteiquest[NtildeIumlWfrac14raquoiEcircifWIuml13b$Aumldcedilraquo~OumlcedilAuml|EacuteAEligqAacute4] divideugrave|ugraveuacute iquestkj ldrregv shy(ldrRtcl|ipwonm5v shyNtildetuOslashtushyl not vampipwo4v tu not sect9ldp4rRtcl|Egravedt lv pv ~rRtRl|9vDm~lrRtcod~ldiTrreg~vUacutel| Uiexcloqnldp4tcldrRtRod~ iquestpoAumlIuml uacute_qEr IumlOslashagrave9Ouml~Oumlfrac12sup1AtildeEcircaacuteUacutefrac14AacuteIcirc~AtildeIgravefrac14Aacutesup1Agravefrac14dfrac12BatildeAgravesup1Atilderaquo~Agrave5Atilde5AElig5iquestPatildeOumlcedilsup1raquoordm|Atildecedil g Atildecedilfrac12frac14dordmIumlhEgravefrac14dAEligwAtilde5frac12frac12Atilde5AElig5iquest g Iumliquest~szlig0Iumleb$sup1Igrave(Igrave(Atilde5frac12Riquestifrac14raquoiEcirc[NtildeIumlatildefrac14dOumlsup1cedilAumlI] uacute_^J^Er iquest`s[Atilde5AumlUEcircAtilde5AEligwsup1AgraveFfrac14dAgraveAacutesup1AcircnAtildeyAgrave5AumldraquoUAacuteAumldAringcedilAElig_aIuml x4~rv p4PldrRtcodPldpoundUodUp4Pl|WoqodshyiUrv paumlumltutcodutet13v uacute+w iquestex uacuteyIrz^ Iuml

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CBh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34LiquestBagraveyIumlWfrac14raquoiEcircidIumlBTHORNampAringraquo~Agravefrac14raquo13] uacute4^z^J^ iquest`[ampfrac14Igrave(AtildeEumlcAacuteIcirc~Atilde5AumlcedilAtildeAacutesup1Agrave(sup1raquoUAacuteAtildeordmdcedil4frac14Aacutesup1AumldraquoaeligOgraveuAumldcedil0sup1Igravefrac14dordmdAtildeAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIuml xQ|||~pwl~ lnrRtcodNtildeodiexclsect9lrRrv p auml9Pl| ~tuyldi j l|4Utu]vx4~rvreg t not v P4v Iumlh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34Liquestgagrave0IumliquestIumlgatildeUAacute4frac14dsup1Eacuteiquest9frac14draquoiEcircdIuml9THORNampAringraquo~Agravefrac14raquo13] uacute_^J^ xiquest` THORNampAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeIacuteEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34iraquo~Ecircsup1raquo~ordmsup1raquoIgrave(AtildeEcircsup1Agravefrac14frac12iexclsup1Igravefrac14ordm|Atilde5AEligaringEacuteLfrac34Oacutesup1raquoLAacuteAtilde5ordmcedil4frac14Aacutesup1raquo~ordm ordmdcedil4frac14|Ecircsup1Atilde5raquoLAacute frac14raquoiEcirccedilAtilde5ordm|sup1Auml|raquo sup1raquoOgraveuAumldcedilIgravefrac14ZAacutesup1Auml|raquo13aIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu notI iquesteE ^4y rdugrave Iumlh=Icircifrac14raquoiquestBETHIumlWfrac14raquoiEcircIuml g Atilde5AEligwAtildeJ] dividedugravedugraveuacute iquest` agraveAgraveAacutesup1AcircnAtildeFAgrave5Auml|raquoLAacuteAuml|AringcedilAElig$Ccedilgsup1AacuteIcircAuml|AringAacuteNtildeAtilde5Ecircordm|AtildeAElig_aIuml xQ||k|~pwld lnrRtcododUacutex4shy(l not v9sectpqo4v 4tu notuU v divideJw iquest divide xJx ydividezrJr Iumlh=Icirc~Atilde5AEligwraquo~frac14dAring~EcirciquesthIumliquestfWIuml=szligAtildeOgraveYacutecedilIAtilde5ordm|sup1Atildecediliquestfrac14draquoiEcirc g Iuml5Z=AumldAring~frac12AtildeAacute4] uacute_^J^z^ iquest`currenatildeUAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12cedilAtilde5ordmdsup1AumldraquoAEligwraquoifrac14dUgrave|AtildeEumlsEacuteifrac14dAEligwAtilde5EcircAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquofrac14|Ecircfrac14dOumlAacuteAtilde5EcircFAacuteAumlyEcircsup1s]AtildecedilAtilde5raquoLAacute-Ouml~IcircLfrac34AEligwsup1Agrave5frac14dfrac12~raquoAuml|sup1AEligwAtilde9Igrave(AumlUEcircAtilde5frac12AElig_aIuml xQ||k|~pqld~ lnrRtco~$osect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4vt iquest uacute|uacute_q y~uacute|uacute xIumlh=Auml|IcircAtilde5raquoiquestIuml] uacute4^z^uacute iquest`currenmiddotraquofrac14dAgrave Aacutesup1Acirc|Atilde Agrave5AumldraquoLAacuteAuml|AringcedilIacuteIgrave(AumlUEcircAtildefrac12AEligtimesfrac14draquo~EcirceumlEacuteifrac14dfrac12frac12AumlLAuml|raquoAElig_aIuml odshyiUrv pumltutcod pwl Utc0ldix4shyl not vsectEgravepwo4v tu not x4shyl not vOtildePnv p rsldidtu not) iquest divideUuacuteduacuteydivideLuacute UIumlh=Auml|IcircAtilde5raquoiquestSIumliquestUumlIuml13ZEgravefrac14cedil4Ecircsup1raquo~AtildeAacuteiquestfrac14raquoiEcircoNtildeIumlagrave9frac34Lfrac14dAgrave4Icirc~AtildeJ] uacute_^J^z iquest`atildeUAringcedilwOgraveufrac14dAgrave5Atilde0cedilAtilde5Agrave5Auml|raquoAEligqAacutewcedilAring~AgraveAacutesup1AumldraquotimesAring~AEligwsup1raquoordmfrac14AgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilaumlIgrave(AumlUEcircAtilde5frac12AElig_aIuml igraveiacuteraquoS] Lsect=xQ|od5v pv P4v od vwodshy(v rRp tc j v rregodtimestuodshyiUrv pumltutco Iuml~atildefrac14raquoUacuteTHORNampsup1Atilde5ordm|AumliquesthEgraveagraveyIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquestEgraveUumlIuml] dividedugrave|ugravedugrave iquest`currenatildeAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquo Ouml~frac14cedilAgrave5Auml|raquoLAacuteAuml|AringcedilAEligUacutefrac14AgraveAacutesup1currenOgraveuAEligUacuteAtilde5raquosup1Igravefrac14dordmdAtildecedilsup1AtildeIacuteIgraveAtilde5Ecircsup1Agravefrac14dfrac12AtildeIacuteEcircfrac34UEumlraquoifrac14dIgrave(sup1ecircLAring~Atilde]ampfrac14Ouml~Ouml~frac12sup1Agravefrac14ZAacutesup1AumldraquoAtilde5raquoeumlAgravefrac14Zcedil4Ecircsup1Auml|frac12Auml|ordmdsup1Atilde raquoUAring~Agravefrac12Atilde5frac14dsup1currencedilAtildeJaIumlfIcircIuml THORNFIumlAacuteIcirc~Atilde5AEligwsup1AElig5iquestraquo~sup1AcircnAtildecedilAEligwsup1currenAacutefrac34`AumlOgraveosup1Agrave5AtildeEumliacuteatildeAumldOuml~Icircsup1Yacutefrac14NtildeagraveraquoLAacutesup1OumlPAuml|frac12sup1AElig5iquestPeacutecedil4frac14raquo~Agrave5AtildedIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquest|UumlIumliquestUaacuteIacuteIumlEZEgravefrac14cedilfrac12frac14dAring~Ecirciquest[NtildeIumlLagraveAringEacutePAtildecedilwAacuteiquest|frac14draquoiEcirc dIumlnTHORN$frac14ZcedilAgrave5Auml|AringcedilwAacute4] divideugrave|ugraveUuacute iqueste`currenatildeOuml~frac14dAgrave5AtildeEgraveAacutesup1Igrave(AtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14EumlAacutesup1AumldraquoUacuteAring~AEligwsup1raquoordmfrac12Atilde5AcircnAtilde5frac12AEligwAtildeAacutefrac14dAgraveAacutesup1AcircnAtilde$AgraveAuml|raquoLAacuteAuml|AringcedilAEligfrac14Ouml~Ouml~frac12sup1AtildeEcirciexclAacuteAumlFIgraveNtildefrac34LAumlLAgravefrac14Zcedil4Ecircsup1frac14dfrac12ordmnfrac14ZAacuteAtildeEcircOtildeatildeIf-UumlkhEgraveETHaIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu not t v rJw iquest)x qJ+y xJ ^ Iuml

THORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquest13iexclNtildeIumlfrac14draquo~EcircdIumlWaacuteAuml|raquoLAacute4frac14ordm|raquoifrac14ZAacute4] divideugrave|ugraveUuacute iquest` ETHBAumldOumlPAuml|frac12Auml|ordmfrac34Oslashfrac14raquoiEcircIacuteAEligwIcirc~frac14dOumlPAtildeAgraveAuml|raquo~AEligqAacutewcedil4frac14sup1raquoUAacuteAEligyAumldraquotimesOumlifrac14Zcedil4frac14EumlIgrave(AtildeAacutewcedilsup1AgraveOslashfrac14dAgraveAacutesup1AcircnAtildearingAgrave5AumldraquoLAacuteAuml|AringcedilAElig_aIuml odshy~rv pumltutcodldP x4shy(l not vPLv p4rsldPtu notcent) v divideJw iquestuacute_qnugrave4yiuacute4rUuacute Iuml[Auml|Igrave(Atilde5AElig5iquestpounddIumlfrac14draquo~EcircaringmiddotNtildeIumleacuteifrac14Aring~ordm|Atilde cedil4frac14dAElig_] divideugrave|ugrave|ugrave iquestcurren` szlig9Atilde5Agrave5Aumldraquo~Agrave5sup1frac12sup1raquo~ordmIacuteEcircsup1AEligqAacute4frac14draquoAgrave5AtildeOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligfrac14draquo~Ecircaeligfrac12Atilde5AcircnAtilde5frac12EgraveAEligwAtilde AacuteAElig_aIumlpoundUodUp il|WoqUacuteumltul|-odshyNtildeshyFU~tR4lrRtcodTldix4shyl not vampgvipv v rsldrRtcod ) iquest dividedugravez^+ydivideddividez Iuml[cedil4frac145frac34LiquestszligyIumliquestdIumlyen-Auml|Aringraquo~ordmiquestampfrac14raquoiEcircagrave0Iumlampagravesup1currenfrac34LAtildecedil4] dividedugravedugraveuacute iquest `aacutesup1raquosup1IgraveNtildeAring~Igrave Ecircsup1AEligwAgrave cedilsup1Igrave(sup1raquo~frac14Aacutesup1Auml|raquosup1raquoOgraveregAumldcedilIgravefrac14Aacutesup1AumldraquoAgrave5frac12Aring~AEligqAacuteAtildecedilsup1raquo~ordmI]Igrave(AumlUEcircAtilde5frac12sup1raquo~ordmTfrac14raquoiEcircOslashecircLAringifrac14raquoUAacutesup1Ocircfrac14ZAacutesup1Auml|raquoOslashCcedilgsup1currenAacuteIcirc ordm|frac14dAringAEligwAEligIgrave(sup1currenicircAacuteAringcedilAtilde5AElig_aIumlTigraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquest=atildePIumliquest=aacuteIacuteIumlkZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestEgravefrac14raquoiEcirc[NtildeIuml=agrave9Aring~EacutePAtildecedilwAacute4] dividedugrave|ugraveUuacute frac14Uiquest` agrave EumliacuteatildeUAacuteAtilde5Ouml frac14dfrac12ordm|Aumlcedilsup1currenAacuteIcirc~IgraveAring~AEligwsup1raquoordmcedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtilde=Agrave5Auml|raquoLAacuteAuml|AringcedilAEligeOgraveuAumldcedilAcircUsup1EcircAtilde5AumlAuml|EacuteUbrvbarqAtilde5Agrave AacuteAElig=EcircAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoSaIuml~igraveraquo13]psect xw j x4 sect odpDumlqo odUacutex4shy(l not v9Pl| ~tu5op j rRtushyvwdtclNtildex4rv pwlnrRtKndvy]v pntc4v IumliETHWfrac14dIgrave(OumlPAtilde cedilAtilde|iquestieacuteWsup1raquofrac12Yacutefrac14raquoiEcirc]Iumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquestUatilde]IumliquestUaacuteIacuteIumlUZ=frac14cedilfrac12frac14dAring~EcirciquestUfrac14raquoiEcirccopy[NtildeIumlUagrave9Aring~EacutePAtildecedilwAacute4] dividedugravedugraveuacute EacuteiquestA` szlig9Atilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14AgraveAacutesup1AcircnAtildegAgrave5Auml|raquoLAacuteAumldAringcedilAEligOgraveuAumldcedilAcircUsup1YacuteEcircAtilde5AumlaringAuml|EacuteUbrvbarqAtilde5Agrave AacuteOtildeAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo Ccedilgsup1currenAacuteIcircaAgrave5frac14dIgrave(Atildecedil4frac14OslashAgrave5AumldIgrave(OumlPAtilde5raquo~AEligfrac14ZAacutesup1Aumldraquo13aIumligraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquesteatilde]IumliquestWaacuteIacuteIumlZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestefrac14draquo~Ecirc[NtildeIumlBagraveAring~EacutePAtilde cedilwAacute4] divideugrave|ugraveuacute Agrave|iquestk` g sup1EcircAtilde5AumlUacuteAuml|EacuteUbrvbarqAtildeAgraveAacuteFAEligwAtildeordm|Igrave(Atilde5raquoLAacute4frac14Aacutesup1AumldraquoAring~AEligwsup1raquo~ordmIacuteAtilde5Aring~frac12Atildecedilsup1frac14draquo cedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAElig_aIuml igraveiacuteraquoS] x4rv p ildrRtcodil|yodv pwv P4vIacuteoodshyiUrv paumlumltutcod Iuml g frac14draquoAgrave5Auml|AringAcircnAtildecediliquestehEgravefrac14draquo~frac14|Ecirc~frac14UIumlbyfrac14dAEligwAElig5iquesteaacuteIacuteIumliquestWagrave0Iuml Ucirc sup1currenAacuteUgravesup1raquoiquestWfrac14raquoiEcirctimesTHORNFIumlWETHBAtildecedilOcirc5AumldOumlPAuml|Aringfrac12AumldAElig_] uacute4^ JUiquestk`currenatilderaquoifrac14UgravenAtilde5AElig_]WagraveAgraveAacutesup1AcircnAtilde(Agrave5AumldraquoLAacuteAuml|Aringcedil0Igrave(AumlUEcircAtilde5frac12AElig_aIumlx4~rv p4PldrRtcoPl|WpoundUop4PldWoqodshyiUrv pTumltutcod iquest ndivideUuacuteyUzndivide Iuml

aacuteUacutefrac14dfrac12frac12frac14|Ecircsup1ciquest~szlig0IumliquestedIuml]atildeUAtildeAacuteIcirc~sup1frac14raquoiquest~frac14draquoiEcircZIuml g Atilde5IgraveNtildeAringcedilsup1G] uacute4^z^ UiquestS`atildeUIcircifrac14OumlPAtilde$Igrave(AumlUEcircAtilde5frac12sup1raquo~ordm0Ccedilgsup1AacuteIcirciexclOgraveregcedilAuml|raquoLAacuteOumlcedilAumldOumlifrac14dordm|frac14EumlAacutesup1Aumldraquo13]nfrac14ampfrac12AtildeAcircnAtilde5frac12AEligwAtildeAacuteEgravefrac14Ouml~OumlcedilAumlnfrac14dAgrave4Icirc13aIuml xQ|||~pwld lnrRtcodampodsectgldrRrv p 9Pl| ~tu9ldP j ln4Utreg]vx4~rvu t not v i4v Iordf iquest uacute z yiuacute+r UIuml

aacuteUacutefrac14draquoAEligwAuml|Aringcedilsup1Riquestagrave0Iumlfrac14draquo~EcircdIumlb$Auml|raquocedil4frac14|EcircS] uacute_^J^J^ iquestlaquo`currenaacuteAumldAacutesup1AumldraquoAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo`Ccedilgsup1currenAacuteIcirceumlfrac12Atilde5AcircnAtildefrac120AEligwAtilde AacuteAElig_aIuml igraveraquo13]x4~rv p4PldrRtcoPl|=ov pwv P4vNtildeodUacutex4shyl not vsectEgravepwo4v tu not Iumlcb$AumldEacutePAtilde|iquestednfrac14dOuml~frac14draquoIuml

aacuteAuml|raquoLAacute4frac14dordmdraquoifrac14ZAacuteiquestdIumliquestziexcl0IumlTHORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquestdfrac14draquo~EcircoNtildeIumlZagravegfrac34Ufrac14dAgrave4Icirc~AtildeJ] dividedugrave|ugraveUuacute iquest` agraveOslashcedilAtildeAcircsup1AtildeCcedilaeligAumldOgravePEcircAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeAEligwAringcedilwOgraveufrac14dAgrave5AtildeAElig_]AacuteAuml|OumlPAuml|frac12Aumldordmdfrac34Liquestgordm|AtildeAuml|Igrave(AtildeAacutewcedilwfrac34frac14draquoiEcirc EcircAtildeOgraveuAumlcedilIgravefrac14Aacutesup1Auml|raquoSaIuml x4shyl not vtimesldiOacuteumltutcododshy~rRtreg not0Inot v uacute_qw iquestuacuteugravendivide+y~uacuteugravezq|ugrave Iuml

aacuteAring~IgraveOgraveregAumldcedil4Ecirciquest=THORNFIumlgfrac14raquoiEcircdIumlatildeIcirc~frac14dIcircS] uacute4^ ^ iquest`currenmiddotOumlAacutesup1Igravefrac14frac12$frac14dOumlOumlcedilAumlicircsup1Igravefrac14Aacutesup1Auml|raquoAEligEacuteLfrac34Oumlsup1AtildeAgrave5AtildeCcedilgsup1AEligwAtildetimesAEligwIgrave(AumlLAumlAacuteIcircOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligFfrac14raquoiEcircOslashfrac14dAEligwAEligwAumlLAgravesup1Yacutefrac14ZAacuteAtildeEcircaringAcirc|frac14Zcedilsup1Yacutefrac14ZAacutesup1Auml|raquoifrac14frac12EgraveOumlcedilAumldEacute~frac12Atilde5Igrave(AElig_aIuml odshyNtildeshyFU~tR4lrRtcod~oaeligsectEgraveUpvUacuteldiEgraveni tsvw j ldrreg~v shy(lrRtccurrenshyt iquest rzr4y xJ q Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfa

yenKbrvbarsect =4 acirc $ zmiddotAEligwIcirc~AtildecediliquestdatildePIumlfrac14draquo~EcircdIumlnatildeAtilde AacuteIcirc~sup1frac14draquoS] uacute4^ ziquest` eacutecedilAuml|raquoLAacuteAEligeOumlcedilAumldOumlifrac14ordmnfrac14Aacutesup1raquoordmCcedilgsup1currenAacuteIcircFAgrave5AringcedilAcirc|frac14ZAacuteAringcedilAtildeEumlEcircAtilde5OumlPAtilde5raquoiEcircAtilde5raquoLAacuteBAEligwOumlPAtildeAtildeEcircS]

agravefrac12ordm|Aumlcedilsup1AacuteIcircIgrave(AEligEacute~frac14dAEligwAtildeEcircaumlAuml|raquoiexclampfrac14Igrave(sup1frac12AacuteAumldraquoEumldnfrac14Agrave5Auml|Eacutesup1eacute~AumldcedilIgraveNtildeAring~frac12frac14Aacutesup1Auml|raquoSaIuml poundUodUp4Pl|oqiexcloshyiUrsldrRtcoPl|sect=U~tc ordfenot iquest uacutedivide4yEqE^ Iumlfefrac14cedil4frac14ordm|sup1Auml|AElig5iquestoNtildeIumlfrac14draquo~EcircIacuteszligyIuml]THORNampAtildecedilsup1Agrave4Icirc~AtildeJ] uacute4^z^J^ iquest`s[Atilde5AumlUEcircAtildeAEligwsup1Agravefrac14AgraveAacutesup1AcircnAtildeFcedilAtilde5ordmdsup1Auml|raquo~AElig$OgraveregAumldcedil0Igrave(AumldAacutesup1Auml|raquoTAtilde5AEligqAacutesup1Igravefrac14Aacutesup1Aumldraquofrac14draquoiEcircAacutewcedil4frac14dAgrave4UgraveUsup1raquoordmAaIumligraveiacuteraquoS] x4rv p ildrRtcodil|-ov pwv P4vFodOslashodshyiUrv paumlumltutco Iumleh=AumldcedilwOgraveregAringgt[cedilAtilde5Atilde5Agrave5Atilde|Iumlfefrac14AacuteAtilde5Aringicirc]iquestatilde]Iuml] dividedugravedugrave|ugrave iquestpound`currenatildeOuml~frac14Aacutesup1frac14dfrac12AEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoTAumldOgrave=Agrave5Auml|frac12Aumlcedilysup1Igravefrac14ordm|Atilde5AEligampfrac14dAgrave5Agrave5Aumlcedil4Ecircsup1raquo~ordmAacuteAumlUacuteaacuteTHORNaringOgraveregAumldcedilIgravefrac14dfrac12currenEumlsup1AEligwIgraveaIumlyigraveraquo13] x4~rv p4PlrRtcodPld=od5v pv i vodododpFtu pwl4UtcldPx4shyl not vysectpqo v tu not Iumlatildefrac14dsup1raquoLAacute UumleAacutesup1Atilderaquo~raquo~Atildediquestieacutecedil4frac14raquo~Agrave5AtildedIumlfcedilAtildeAgrave5sup1Auml|AEligwAumliquesteacute=IumlEgravefrac14raquoiEcirc aacuteIacuteIumlcurrenZEgravefrac14cedilfrac12frac14dAring~EcircS] dividedugrave|ugraveUuacute iquest` Z-EumliacuteatildeUOuml~frac12sup1raquo~Atildeaumlfrac14dAgrave Aacutesup1Acirc|AtildeOtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAEligOgraveregAumldcedilOgraveRfrac14AEligqAacuteAcircUsup1EcircAtilde5AumltimesAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIumlOacuteigraveraquo13] x4rv p ildrRtcodil|od5v pv P4vaeligod x4shy(l not vUacutesectpqo4v 4tu not IumlETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1Riquest[cedilAtilde5Atilde5Agrave5Atilde|Iuml

szligAumldraquoOgraveufrac14cedil4EcirciquestszligyIuml] uacute_^J^q iquest` szlig9Atilde5ordmdsup1AumldraquoEumlsEacuteifrac14AEligwAtildeEcircFAEligqAacutewcedil4frac14ZAacuteAtilde5ordm|sup1Atilde5AEligeOgraveuAumlcedil-frac14dAgraveAacutesup1AcircnAtildeEgraveAgraveAuml|raquoLAacuteAuml|AringcedilIgrave(AumlUEcircAtilde5frac12AElig_aIuml x4~rv p4PldrRtcoPl|poundUodUp il|WoqodshyiUrv paumlumltutco I v dividezw iquest divideddividez^+yUdivide uacute Iuml

atildefrac14Igrave(AEligwAuml|raquoiquestzhIumliquestzIumlzZ=frac12frac14raquo~AgraveEumleacuteAtildecedil4frac14AringiEcirciquestJ[NtildeIumldagraveAringEacutePAtildecedilwAacuteiquestfrac14draquo~Ecirc dIumlJregPAtildecedilAring~Eacutesup1frac14I] dividedugravedugrave|ugrave iquest` agrave frac12Atilde5Acirc|Atilde5frac12UAEligwAtildeAacuteIgrave(AumlUEcircAtilde5frac12nOgraveregAumldcedilsup1Igravefrac14ordm|AtildeAgrave5frac12frac14dAEligwAEligwsup1siAgravefrac14ZAacutesup1Auml|raquo13aIuml x4~rv p4PlrRtcodPldpoundUodUp4Pl|BoqNtildeodshyiUrv pOtildeumltreg4tRod shy v Ew iquest uacute r4y~uacute4^Er Iuml

atildefrac14raquo~ordmdCcedilgsup1raquoAtilde|iquest9atilde]IumlEgravefrac14draquo~Ecircszlig0IumlampiexclAumldcedilraquoAtilde v Atilde5EcircAElig5Iuml w ] uacute_^J^ Uiquest ~vIacuteo|odUpaumltushyl not vipqo4v 4tu not ldP|m4oo4uml Iumlh=Icircifrac14dOumlIgravefrac14draquodegmacriexclampfrac14dfrac12frac12RIumlatildeAtildeAacuteIcircsup1frac14draquoiquestdIumlplusmn] uacute4^z^|ugrave iquestU` oAringIgrave(Atildecedilsup1Agravefrac14dfrac12Ufrac14frac12ordm|Aumldcedilsup1currenAacuteIcircIgrave(AEligWOgraveuAumldcedilOumlcedilAuml|Oumlifrac14ordmnfrac14ZAacutesup1raquoordmsup1raquoLAacuteAtildecedilwOgraveRfrac14Agrave5Atilde5AElig_]Jiexclampfrac14dIgrave(sup1frac12currenAacuteAuml|raquoEumldnfrac14dAgrave5AumldEacute~sup1

AtildeecircLAringifrac14Aacutesup1Aumldraquo~AElig-frac14draquoiEcircAgraveAuml|raquo~AEligwAtilde cedilAcirc|frac14ZAacutesup1Aumldraquo(frac12frac14CcedilgAElig_aIuml poundUodUp4Pl|]oqEgraveyen$t lv pv rRtcl| voshyv rRp~ iquest uacute4Uuacutey~uacute x uacute IumlatildeAtildeAacuteIcircsup1frac14draquoiquestAdIuml] uacute4^J^ xiquest kWvndvB]v r j v rregod IumlcurrenhEgravefrac14dIgraveNtildeEacutecedilsup1EcircordmdAtilderaquosup1AcircPIumlAfecedilAtilde5AEligwAElig5Iumlatildesup1Ecirc~Ecircsup1ecircUsup1Riquest4bIumliquest_yenNtildeIumlBfrac14Aring~Ocirc5sup1Gsup2AtildecedilAtilde|iquestagraveyIumlETHWfrac14draquoraquo~Atilde5raquoUEacute~frac14dAring~IgraveUacuteiquest5frac14draquo~EcircNtildeatildePIumlregPAring~Agrave4UgravenAtildecedil4] uacute_^J^ xUiquestE`currenagravegcedilAtildefrac149frac14draquoiEcirc$frac12Atilde5raquoordmdAacuteIcircyIgrave(sup1raquoEuml

sup1Igrave(sup1Ocirc5sup1raquoordm sup3iAumlCcedilgAEliggOgraveuAumldcedilAEligwIcircifrac14OumlPAtildeyAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo13aIuml xQ|||~pwl~ lnrRtcodoOtildex4shyl not vsectEgravepwo4v tu notordf v Ew iquest qEz+yqzqE Iumlyen=AtildeOcirc5Ocirc5sup1RiquestagraveyIumliquest5agrave0Iuml5ETHEgraveAEligfrac14dsup1Riquestfrac14draquo~Ecirc$agrave0Iuml Ucirc sup1frac12frac12AEligwUgraveLfrac34] uacute4^z^J^ iquestJ` agraveaeligAEligqAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12Ufrac14dOumlOumlcedilAumlnfrac14Agrave IcircampAacuteAumlgAEligwraquo~frac14dUgravenAtilde5AElig]OgraveuAumlcedilWEacutesup1Igrave(AumlUEcircfrac14dfrac12frac14draquoiEcircAacutewcedilsup1Igrave(AumlUEcirc~frac14frac12isup1Igravefrac14dordmdAtildecedilwfrac34aIumligraveraquo13] x4rv p ildrRtcodil|eodv pwv P4vyodx4shyl not vgsectpqo v tu not IumlAb$AumldEacutePAtildednfrac14dOuml~frac14draquoIumlreg]IcircUAringiquest]atilde]Iumlfrac14raquoiEcircaumlagrave0Iumleyen=Aringsup1frac12frac12AtildeJ] uacute_^J^ xUiquestpound` szlig9Atilde5ordmdsup1AumldraquotimesAgrave5AumldIgrave(OumlPAtildeAacutesup1currenAacutesup1Auml|raquo13]iAring~raquo~sup1currenOgraveYacutefrac34sup1raquoordmiexclAEligwraquo~frac14dUgravenAtilde5AElig5iquestPcedilAtildeordm|sup1Auml|raquoTordmdcedilAumlCcedilgsup1raquo~ordmiquestfrac14draquoiEcircZEgravefrac145frac34LAtilde5AEligacute|aacuteTHORNOgraveregAumldcedilIgraveFAring~frac12currenAacutesup1Eacuteifrac14raquoiEcirc sup1Igravefrac14ordm|AtildeTAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo13aIuml xQ|||micro~pwld lnrRtcodtimesosect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4v Icent iquesteJ q+yU^dugrave|ugrave Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfo

i $amp)(+-)013021+345627893lt=gt9A6CBfrac12OcircacuteIshyNT

frac12OcircacuteIltNTpara frac12frac34EMeJaumlQcYZYZjJUacuteQsY H [ ^QEgraveJLhZJUO H QcN H J H MeJordfXiacute[]fcfR[WQcO[Oslash^e[]ZaringNPQsOXiacutejOb H QR[]ONPfdaringocirc|adOuml times jOcircaacute uuml times a2atildeltszligaumlgtszliglOuml times j atilde auml

G QsObnJ H MJeumlYZJ H [SXIacuteNPfcfUacute^e[]ZaringNPQsOYMNPY Oe[ H N Y H hjb H jhZJ`[SXUPJUb H [PhQcNPfOtildeYZKNPbnJSefRJ H jYZ N`PJ H MeJeumlhZJ[]QR[]OYJUP[]fVUPJ H MehZ[]j[]M NrXqNSZaringQcfVm [SX H hNPOYYX[PhlZ N H QR[]OYa(|aagraveszlig jj emiddot iacuteaumlYlZOslash[[ H MaNPO^ centQ ~JUb H QVUPJS^ not [PhNOslashKEgrave[]QcO H $ aacute atildeshyszligaumlN eFWFJTOe[ H JSaring$ aagravej|aacutemiddot|aagraveszlig $ j WiexclQ H M |a s szlig $ jaacute $OumlcopytimesaagravejOcircaacutemiddot|aagraveszliglOumlutimesdj WiexclQ H M |a s szliglOumlcopytimesAjOcircaacuteAumlOumlutimes9J H jY H MeJUO^JOeJ H MeJordfUPJUfR[WbLQ H moUPJUb H [PhdY JUfs^kfrac12 YZjbM H MN H aringfrac12sup1aagraveszlig $ aagravejj|aacute aelig |aelig agrave aagraveszlig $ j YlaquoXiacuteNiharingNPY H MeJ bn[]ZOslashKj H N H QR[]O[SX H MeJ ^eJLhQU~N H QVUPJ QcYOslashbn[]ObnJLhOeJU^OeWFJNihZJQcOWVH JLhZJUY H JU^ QcO YYZaringNPfcfOtilde^JX[PhlZ N H QR[]OY^ J H MBjYJkWKNPO^ H MeJ H hNPOYX[PhZaringN H QR[]ONPbLbn[Ph^QcO[ H [hdY H [Ph^eJLh NmWfR[PhyacuteXiacute[PhlZtimesjfcNaring|aagraveszlig $ jpoundaacuteAElig|a s szlig $ j agrave aelig |aelig agrave a s szlig $ jaacute $ ragrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacute frac14 frac14 a s szlig $ j^ J H MeJUOQcO H hZ[W^jbnJ H MehZJLJgZ NPQcO^eJOQ H QR[]OYaringf^QMeJg0jfRJLhQcNPO^eJLhQU~N H QVUPJOtilde[SXocirc|adOuml times jordfaqQcO H MeJIacute^QRhZJUb H QR[]O[SXcedilfrac12jaring ocirc|adOumlcopytimesszlig_frac12jOcircaacutefcQZUcedil iacute ocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave admacrfj ^QMeJgZaringN H JLhQsNPfg^eJLhQVUiN H QVUPJOtilde[SXuumlStimesYa $ szliglOumlcopytimes)jaringsup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j|aacutefcQZUcedil iacute uumlStimesa $ ragrave3frac12ba $ jszliglOumlutimes agrave3frac12sup1a $ jj uuml]timesa $ szliglOumlcopytimesdjagrave admacr j^QMeJaumlYZMNiKEgraveJOtilde^eJLhQU~N H QVUPJOtilde[SXOcircuuml]timesa $ szliglOumlutimes)jaring

uumlnotraquotimes a $ szliglOumlcopytimesUcircszlig_frac12 jaacutefcQZUcedil iacute uumlStimesYa $ szliglOumlutimesragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave admacrS]j

uumlnyacutenthornnyumll13YSordmY_Fordfy

yenKbrvbarsect =4 acirc $ hq centUWQR[]jYZfVmSe-centmaJkBKNPO^QcO[ admacr jUacuteNPbLbn[Ph^QcOF[ H [hdY H [Phd^eJLhordfNmBfR[PhordfXiacute[PhlZtimesjfcNeWFJaumlMNUPJSaring sup1uumlStimesYa $ szliglOumlcopytimesUcircszlig_frac12 jaacuteAumluumlnotraquotimes a $ szliglOumlcopytimesszlig_frac12jhuumlStimesa $ szliglOumlcopytimes)j frac12sup1a $ j admacrj J H MeJUOabn[]ZOslashK-j H JZOslash[PhJaumlKhZJUbLQcYZJUfVm H MJ0jfRJLhQcNPO ^eJLhdQVU~N H QUPJauml[SXcopyocirc|adOumlcopytimesdj^ JMNUPJSaringocircOcircadOumlutimesaagravejj ocircOcircadOumlutimes)jagrave aacute fagrave = thorn yuml uuml times a $ aagravejszliglOuml times aagravejj $ uuml times a $ szliglOuml times j $ FH admacrSmacr]j5O H MJohY H QcO H J[PhdNPfdeltWFJZaringN`PJ H MeJU~NihdQcNicentfRJ bMNPO[PJ $ aagravejaacute $ agrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacuteethicirc7a2atildeshyszligaumlFjszligicirc cent a2atildeltszligaumlj eWMQcbdM[]QVUPJUYaring thorn yuml uuml]timesYa $ aagravejszliglOumlcopytimesYaagravejj $ aacute admacrS]j

5 uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlutimes agrave3frac12sup1a $ jjlt^eJ H ocirc a $ jlt $WMJLhZJocirc a $ jQcY H MeJgXiacute[]fcfR[WQcO[aringSNPbn[PcentQcNPOtZaringN H hdQkKaring

ocirc a $ jaacute oacute fcedilxagrave frac14 iacute oslashfrac14Uordm agrave frac14 iacute oslashfrac14 ugraveagrave frac14 iacute acircfrac14ordm fcedil agrave frac14 iacute acircfrac14 ugrave ocircNPO^ YZ[eFWNtildeJIacuteMNUPJSaring

^eJ H ocirc a $ jOcircaacute fUragravee^QVUKafrac34frac12sup1a $ jjragrave cent ^eJ H amacr frac12sup1a $ jjMJUOWNtildeJauml[Pcent H NPQcOOaring

fsQZcedil iacute ^eJ H ocirc a $ j fagrave aacute ^QVUKafrac34frac12sup1a $ jj admacr]zSjMJJBjN H QR[]OxadmacrSmacr]j H MeJUOcent=JUbn[]ZaringJUYaringocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave aacute fagrave middot uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jjlt 13raquo ocirc a $ jlt $ uumlStimesa $ szliglOumlcopytimesAj $ admacrSi]j JTbLNPO`YZjeKKEgrave[]YJ H MN H ^eJ H aocirc a $ jjfrac14aacute sfrac12 agrave frac12 $ ^ JZaringNm H MeJUO H N`PJ^eJ H aocirc a $ jjfrac34 s eNPO^ WNtildeJ ^eJUPJUfR[PK H MeJaJkWKhZJUYYZQR[]OadmacrSi]j NPYoX[]fsfR[WQsO[centmNP^^QcO[aringN H JLhZ QcO H MeJIacuteYZJUbn[]O^aQcO H J[PhNPfltWMQcfcJaumlYZjeKKhJUYZYZQcO[ H MeJtimesYZNSZOslashJ H JLhlZQcO H MJordfhY H QcO H J[PhNPfdaring ocirc|adOumlcopytimesYaagravejj ocirc|adOumlcopytimes)jagrave aacuteegraveOtildef1rOtilde cent admacrSh]j

uumlnyacutenthornnyumll13YSordmY_Fordf

s $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJSaring

Otilde aacute uuml]timesa $ ragrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave ^eJ H aocirc a $ jj $ ad s jOtilde cent aacute uuml]timesa $ szliglOumlcopytimesdj ^eJ H aocirc a $ jj fagrave $ adfj

9J H jY_ZaringN`PJordmagrave H JUO^ H [WNih^Y s ^curreniquestYZQcO[frac34admacrjiexclNPO^JOQ H Qc[]OYadmacr e macrS]jeWFJ[PJ H aringfcQZUcedil iacute Otilde aacute sup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j $

aacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ uuml times a $ szliglOuml times j frac12sup1a $ j $fcQZUcedil iacute Otilde cent aacute uuml]timesa $ szliglOumlcopytimesdj^QVUKafrac34frac12 j $

O^ Y[Xiacute[Ph H MeJgNtildejfRJLhQsNPO ^eJLhQVUiN H QVUPJSeWFJgO^Oaring ocirc|adOuml times szlig_frac12jumlaacuteyacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ amacrreguumlStimesYa $ szliglOumlcopytimes)j frac12sup1a $ j7 uuml]timesYa $ szliglOumlcopytimes)j^QVUKafrac34frac12sup1a $ jjj $aacute uumlnotraquotimes a $ szliglOuml times szlig_frac12j $ ^QVUKaduuml times frac12j $ ad j

MeJUO NiKKfVmWQcO[ H MJ hJLJUOWVAQRJZ NPOO H MeJL[PhZJZQcO ad jeWNtildeJ5ONPfcfmtimes[Pcent H NPQcOOaring ocirc|adOumlcopytimesszlig_frac12jOcircaacute uuml raquotimes a $ szliglOumlcopytimesUcircszlig_frac12j $ uacutefrac14 5 uuml]timesYafrac34frac12 eacuteAgraveiquestsup1AacuteAtildeAcircj THORN adS]jWMJLhZJ5eacuteAgraveiquestsup1AacuteAtildeAcircyQcY H MeJUacutejOQ H QcOOgraveWNih^ Oe[PhlZaringNPf H [ aelig OumlcopytimesUcirc^MeJ_NtildejfRJLhQcNPO ^eJLhQVUiN H QVUPJQcY(O[ H JU^ ocirc raquo aagravej(QcO H MeJaumlKNiKEgraveJLhNPO^ H MeJaumlYZMNiKEgraveJauml^eJLhQU~N H QVUPJyuuml raquotimes QcY(Oe[ H JU^ frac14 frac14 ^iquest acutemicrosup1cedilFLft not [PhyYQZOslashKfcQsbLQ H mSeWNtildeJ(bM[[]YJ H MeJcopyXiacute[]fcfR[WQcO[_U~NihQsN H QR[]OaeligQcO H MeJKhZ[B[SXaring$ aagravejaacute $ agrave3frac12sup1a $ j^MJiexclKh[[SXZaringNm NPfcYZ[IacutecentEgraveJiexcl^JUPJUfR[PKEgraveJU^WiexclQ H MZaring[PhZJ_[PJUOJLhNPfUiNihQcN H QR[]OYFYjbM NPYaring $ aagravejaacuteAacuteAgravea $ szligYagravejWQ H MAcircAgrave`NOslashYYZOslash[B[ H MXiacutejOb H QR[]ONPO^AcircAgravea szligYagravejcentQ ~5JUb H QVUPJS^

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ ffrac12OcircacuteIshyNT AcircE J(MNUPJ H [Otildebn[]ZOslashK-j H J H MJNtilde^QEgraveJLhZJUO HH JLhZaringY9[SXQa macr]j9QsOauml[Ph^eJLh H [Uacute[Pcent H NPQcO H MeJ

JUP[]fcj H QR[]OJBjN H QR[]O[SX H MeJ NPb H QUPJ bn[]O H []jehX[Ph H MeJ ^JUYZbnhQRK H [PhdYaumlcentNPYJU^Oacute[]OH MeJ(bn[U~NihQsNPObnJ ZaringN H hQVktimes^eJ H JLhlZ QcONPO H a2Ograveh]j^OgraveMeJ(bn[]ZOslashKj H N H QR[]OaringQcYampKEgraveJLhYXiacute[PhlZOslashJU^Xiacute[Ph H MeJIacute^eJUYZbnhQRK H [Ph_uuml thorn timesOslash yuml ^ q centUWQR[]jYZfmSeN YZQZ QcfcNihbn[]ZOslashKj H N H QR[]OabLNPOacent=JIacute^e[]OeJXiacute[PhOcircuuml thorn UgraveUcircUacuteUuml yuml ^ JiexclbLNPOaeligJkBKhJUYZYOcircuuml thorn timesOslash yuml NPYyNUacutebn[]ZTcent-QcON H QR[]Oaelig[SXgtXiacutejOb H QR[]OYamp^eJLKEgraveJUO^QcOF[[]O H MJOtildehZJ[]QR[]OwOuml timesOslash aring

uumlgtthorn times Oslash yuml a2atildeltszligaumlgtszligYagravejaacute`Ograveoacute m thorn timesOslash yumlaIgraveagrave thorn timesOslash yumlAtilde j cent ocirc adjWMJLhZJordmaacuteAuml85eWiexclQ H MAring8 H MeJordfXqjOb H Qc[]O QcO H h[B^jbnJU^ QcOpounda2Ograveh]je-NPO^aringm thorn timesOslash yuml aacute agrave thorn timesOslash yuml agrave thorn timesOslash yumlcent agrave thorn timesOslash yuml agrave thorn timesOslash yumlAElig agrave thorn times Oslash yumlCcedil agrave thorn timesOslash yumlEgrave agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlEgrave j cent agrave thorn times Oslash yumlcent aIgraveagrave thorn timesOslash yumlCcedil j cent agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlAElig j centWQ H MOaring EFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFH

agrave thorn timesOslash yuml aacute w$ thorn yuml aOtilde S times Oslash j cent atilde aumlagrave thorn timesOslash yumlcent aacute w$ thorn yuml aOtildeOgravecent Scenttimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yuml aacute w$ thorn yuml aOtildeS Stimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yumlAElig aacute w$ thorn yuml aOtilde S times Oslash jaOtildeOgravecent ScenttimesOslash j atilde aumlagrave thorn timesOslash yumlCcedil aacute w$ thorn yuml aOtilde S times Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlEgrave aacute w$ thorn yuml aOtilde cent S centtimes Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlAtilde aacute w$ thorn yuml atilde auml O^ Y[ H MJordfXiacutejOb H QR[]OY aelig thorn timesOslash yumlauml MNUPJ H MeJgXiacute[]fcfR[WiexclQcO[aeligJkBKhZJUYZYZQR[]OYaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

aelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlcent aacute aOtilde cent S centtimesOslash j centaelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlAElig aacute aOtilde S timesOslash jaOtilde cent S centtimesOslash jaelig thorn times Oslash yumlCcedil aacute aOtilde S timesOslash jaOtilde S timesOslash jaelig thorn times Oslash yumlEgrave aacute aOtildeOgravecent ScenttimesOslash jaOtilde13 StimesOslash jaelig thorn times Oslash yumlAtilde aacutemiddotf

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBnot h[]Z H MeJUYJaumlJkWKhZJUYYZQR[]OYeWFJOtildeJUNPYZQcfm ^eJU^jbnJ H MN H aring

$ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde aumlregaacute sEacutefrac12poundEcirc iuml

J H MeJUO MNUPJ H [Tbn[]ZaringKj H J H MeJ H JLhlZaringY eacute thorn times Oslash yumlauml XiacutehZ[]Z H MeJJkWKhZJUYZYQR[]OYamp[SXagrave thorn timesOslash yumlauml eWMQcbM fRJUNP^Y H [aringEFFFFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFFFFH

eacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideoslash aacute w$ thorn yuml uacute ouml $ordfdivideacirc uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIgrave yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H a timesOslash jjeacute thorn timesOslash yumlcent aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideacirc

aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIcirc yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideEuml aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideacirc thorn thorn uacute ouml $_divideIuml yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yumlAElig aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIuml aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideEuml uacute ouml $ordfdivideIuml thorn uacute ouml $_divideIcirc uacute ouml $ordfdivideIgrave yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlCcedil aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIcirc aacute w$ thorn yuml cent thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideacirc uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlEgrave aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIgrave aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideoslash uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlAtilde aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIacute aacute w$ thorn yuml thorn +ETH ouml $_dividethorn uacute ouml $ordfdivideIacute yuml Iuml 8 raquo aq^J H a timesOslash jj

O^centmJkWKhZJUYZYZQsO[ H MeJbn[UiNihQcNPObnJZaringN H hQVkpoundWQ H M H MJregXqjOb H QR[]OYagrave thorn timesOslash yumlauml NPYXiacute[]fcfR[WQcO[aring

timesOslashlaquoaacute 1NtildeNtildeNtildeNtildeNtildeNtilde3uacute ouml $ordfdivideoslashuacute ouml $ordfdivideIacute uacute ouml $_divideIumluacute ouml $_divideIacute uacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIumluacute ouml $ordfdivideIacute uacute ouml $_divideacircuacute ouml $_divideIacute uacute ouml $ordfdivideIgraveuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacute uacute ouml $_divideIgraveuacute ouml $_divideIacute uacute ouml $ordfdivideEumluacute ouml $ordfdivideIacute

6OgraveOgraveOgraveOgraveOgraveOgrave7 J H MJUO^eJU^jbnJSaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

eacute thorn times Oslash yuml aacute a fj thorn yuml ^eJ H aDC Ptimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlcent aacute a fj thorn centcent yuml ^eJ H aDC centcenttimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yuml aacute a fj thorn curren yuml ^eJ H aDC 4times Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlAElig aacute a fj thorn cent yuml ^eJ H aDC centtimes Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlCcedil aacute a fj thorn curren yuml ^eJ H aDC times Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlEgrave aacute a fj thorn centcurren yuml ^eJ H aDCcent4times Oslash j48 raquo aq^eJ H a timesOslash jjeacute thorn times Oslash yumlAtilde aacute amp^eJ H a timesOslash j48 raquo aq^eJ H a timesOslash jj

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ SWMJLhZJC EBtimesOslash QcY H MeJgZaringN H hdQk ^eJU^jbnJU^Xh[]ZOacutetimesOslasharingcentm YZjeKKhZJUYZYZQcOF[ H MeJyuuml UumlON hZ[WNPO^ H MJ I UumlON bn[]fcjFZaringOO^]MeJbn[]ZOslashKj H N H Qc[]OordmX[Ph H MeJ^eJUYZbnhdQRK H [Ph|uuml thorn UgraveUcircUacuteUuml yuml QcYyYQZaringQcfcNihNPO^WFJ H MeJUOOslashMNUPJNPfcf H MeJ(JkWKhZJUYZYZQc[]OY H [aumlbn[]ZOslashKj H J H MeJJUP[]fcj H QR[]OaeligJjN H QR[]OXiacutehZ[]Z H MeJg[PJUOJLhNPfOXiacute[PhlZIacutejfcNta macr]j^gtMQcYcopy[]QVUPJUY H MeJTJUP[]fcj H QR[]O JBjN H QR[]Osup1admacr s j^

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBΩ out

Objects

Γ

inΩ

inΩ

Background Part

-t not Upv copy ETHEgraveIcircAtildeampAacuteiacuteCcedil=AumlFcedilAtilde5ordm|sup1Aumldraquo~AElig9AumldOgravefrac14raquoUacutesup1Igravefrac14dordm|Atilde

Ω

Ω out (τ)Ω

(τ)in

N

Γ(τ)

Ω

N

v

w

N

-t not Upv ETHEgraveIcircAtildeyEcircAumldIgravefrac14dsup1raquo~AEliggfrac14raquoiEcircAacuteIcircAtilde$AcircnAtilde5AgraveAacuteAumlcedilAEliggsup1raquoUAcircnAumldfrac12AcircnAtildeEcircsup1raquoiexclAacuteIcirc~Atilde$EcircAtildecedilsup1Acirc|frac14ZAacutesup1Aumldraquo

uumlnyacutenthornnyumll13YSordmY_F2ordf

yenKbrvbarsect =4 acirc $ Smacr

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 Atilde|IumligraveAacuteAtildecedil4frac14ZAacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvyzU eacuteWsup1ordm|AringcedilAtilde5AEligfrac14iquest Eacuteiquest AgraveJ]iUumlAcircnAumldfrac12AringAacutesup1Auml|raquoOtildeAumlOgraveeAacuteIcirc~Atildeyfrac14dAgrave Aacutesup1Acirc|Atilde0AgraveAuml|raquoLAacuteAuml|AringcedilIgravefrac14raquoifrac14ordm|AtildeEcircUacuteEacuteLfrac34AacuteIcirc~AtildefTHORN$Uuml v qzqwsup1raquo~Agrave5frac12AringiEcircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquoifrac14frac12ampAacuteAtildecedilIgrave(AElig5IumlgeacuteWsup1ordm|AringcedilAtilde5AEligOtildeEcirc]iquest Atildediquest Ograve] g sup1AEligwAringifrac14frac12sup1Ocirc5frac14Aacutesup1Auml|raquo`AumldOgrave0AacuteIcirc~AtildeTAgrave5AumldcedilwcedilAtilde5AEligwOumlPAumldraquoiEcircsup1raquoordmAcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 OgraveuAring~raquoAgraveAacutesup1Auml|raquosup1raquo~Agrave5frac12Aring~Ecircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquo~frac14dfrac12ampAacuteAtildecedilIgrave(AEligraquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirc EacutePAtildeAacuteiacuteCcedil=Atilde5Atilde5raquo ugrave frac14draquoiEcirc divide JUiquestAEligwAring~Agrave4IcircTAacuteIcirc~frac14Aacute$AacuteIcircAtilderaquo~Atilde5ordm|frac14Aacutesup1AcircnAtildeAcircdfrac14dfrac12AringAtilde5AElig0frac14cedilAtildefrac12AumlCcedilEgraveAtildecedilyAacuteIcirc~frac14draquo uacutedivide Uacutefrac14raquoiEcircaumlAacuteIcirc~AtildeOumlPAumldAEligwsup1Aacutesup1AcircnAtilde(Aumldraquo~Atilde5AEligyfrac14ZcedilAtilde(Icirc~sup1ordm|IcircAtildecedilAacuteIcircifrac14raquo uacuteZdivide Iuml

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

Ecirc]Iumligraveraquo~sup1currenAacutesup1frac14dfrac12BAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 Atilde|IumligraveAacuteAtilde cedil4frac14Aacutesup1Auml|raquo ugravedugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not Upv ucirc eacuteWsup1ordmdAringcedilAtilde5AEligtimesfrac14iquest Eacuteiquest AgraveJ]ampUumlAcirc|Auml|frac12AringAacutesup1Auml|raquoAumlOgrave(AacuteIcirc~Atildearingfrac14AgraveAacutesup1AcircnAtildeOslashAgrave5Auml|raquoLAacuteAumldAringcedilIacuteIgravefrac14draquoifrac14ordm|AtildeEcirc`EacuteUfrac34AacuteIcircAtildeOcircfTHORN$Uumlv q w iquestiexclCcedilgsup1currenAacuteIcirc~AumldAringAacuteAacuteIcirc~Atildefrac14dEcirc~Ecircsup1Aacutesup1Aumldraquoifrac14dfrac12TAacuteAtildecedilIgrave(AElig5IumliexcleacuteWsup1ordm|AringcedilAtildeAElig Ecirc]iquest Atildediquest Ograve] g sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo AumlOgraveaeligAacuteIcirc~AtildeAgraveAumldcedilwcedilAtildeEumlAEligwOumlPAuml|raquo~Ecircsup1raquo~ordm AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 OgraveregAring~raquo~Agrave Aacutesup1AumldraquoeumlCcedilgsup1currenAacuteIcirc~Auml|AringAacuteIacuteAacuteIcircAtilde frac14|Ecirc~Ecircsup1currenAacutesup1Aumldraquoifrac14frac12FAacuteAtildecedilIgrave(AElig v raquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirceumlAEligwAring~Agrave4Icirc AacuteIcirc~frac14AacuteIgravefrac14icirc vOOtilde wpOumldivide z w Iuml

uumlnyacutenthornnyumll13YSordmY_F2

S $amp)(+-)013021+345627893lt=gt9A6CB

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIumligravesAacuteAtildecedil4frac14Aacutesup1Aumldraquogt ugrave|ugrave AgravedIumlieacuteWsup1raquoifrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12Acirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 AtildedIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIumlieacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvtimesLg sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo(AumldOgravePAacuteIcirc~AtildeAtildeAcircnAuml|frac12AringAacutesup1AumldraquoAumldOgravePAacuteIcircAtildeEgraveAgrave5Auml|raquoLAacuteAumldAringcedil-frac14draquo~EcircNtildeAacuteIcirc~AtildeEgraveAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 v Ccedilgsup1AacuteIcircAuml|AringAacuteAacuteIcircAtildeEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircFAacuteAtilde cedilIgrave w OgraveregAumldcedilEgraveAacuteIcircAtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoAumlOgraveAacuteIcircAtilde9Ograveufrac14dAgrave5AtildeAring~AEligwsup1raquo~ordmyAacuteIcirc~Atilde9Agrave5AumlZAcirc|frac14Zcedilsup1frac14draquo~AgraveAtildeIgravefrac14Aacutewcedilsup1currenicirc]Iuml

frac14Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcircnAtilde EacuteIumligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 v AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde w Agrave|Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacutefrac34 v Acircdfrac14cedilsup1frac14draquoAgrave5Atilde w-t not Upv h=AumldIgrave(Oumlifrac14cedilsup1AEligwAumldraquoOtildeAumldOgraveAacuteIcirc~Atilde$sup1raquo~sup1currenAacutesup1frac14dfrac12eAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34iexclAgrave5Auml|Igrave(OumlAringAacuteAtildeEcircAringAEligwsup1raquo~ordmAacuteIcirc~Atilde$AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde0Igravefrac14Aacutewcedilsup1currenicircv iordmdAringcedilAtildeFEacute w AacuteAumliexclAacuteIcircAtildeAuml|raquoAtildeFAgrave5AumldIgrave(Ouml~AringAacuteAtildeEcircTAringAEligwsup1raquo~ordmiexclAacuteIcircAtildeFAcircdfrac14cedilsup1frac14draquoAgrave5Atilde v ~ordm|AringcedilAtildeFAgrave w OgraveregcedilAumldIgrave AacuteIcirc~AtildeNtildeAEligfrac14dIgrave(Atildesup1raquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcirc|Atilde v iordmdAringcedilAtilde$frac14 w Iuml

uumlnyacutenthornnyumll13YSordmY_F2_a

yenKbrvbarsect =4 acirc $ ]z

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv Oslash| THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5AtildeccediliacuteAtildecedilsup1UgraveUegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_o

Si $amp)(+-)013021+345627893lt=gt9A6CB

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv ordf THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5Atildeccedilqfrac14dUgraveUsup1currenfrac34LAumldegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_y

RR-0114-SJEHANpdf
  • wwwi3sunicefr
    • httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf
Page 10: LABORATOIRE INFORMATIQUE, SIGNAUX ET SYSTEMES DE …mh/RR/2001/liste-2001.pdf · 2002. 6. 27. · [Dir01] DIRAT L. “Outils pour des Mathématiques Interactives et Distribuées”

REacuteSUMEacute

MOTS CLEacuteS Contours actifsbaseacutes reacutegions optimisation de domaine segmentation non superviseacutee deacutetection de visage deacuteter-minant dela matricedecovariance

ABSTRACT Originally active contours wereboundary-basedmethods They weredriven towardstheedgesof animagefromtheminimization of a criterionwith only boundary-basedtermsThemainpurposeof region-basedactive contours is to maketheactivecontour evolveusinginformationontheregionsin addition to theclassicalboundary-basedinformation

We proposeherea generalEulerian framework for region-basedactive contours namedDREAM2SWe introducea generalcriterion includingbothregion-basedandboundary-basedtermswheretheinformationontheregionsis embeddedin afunctionnameddescriptor Theoriginality of thiswork is twofold Firstly weproposeto useshapeoptimization principlesto computetheevolution equationof theactivecontour thatwill makeit evolveasfastaspossibletowardsaminimumof thecriterionSecondlywe take into account thevariationof thedescriptors during thepropagationof thecurve Indeed a descriptor maybegloballyattachedto the region andthusregion-dependentIt happens whenstatisticalfeatures of a region like for example the meanor thevariance of a region areselectedasdescriptors We show that thedependenceof thedescriptors on the region inducesadditional termsin theevolution equationof theactive contour thathave not beenpreviously computed DREAM2S gives aneasyway to takesuchadependenceinto account andto computetheresultingadditional terms

Experimental resultspoint out the importanceof the additional termsto reacha true minimum of the criterion andso toconverge on accurate results The covariancematrix determinant appears to be a very relevant tool for homogeneous colorregionssegmentationAs anexample it hasbeensuccessfullyappliedto facedetectionin realvideosequences

KEY WORDS Region-basedactivecontoursshapeoptimizationunsupervisedsegmentationfacedetection covariancematrixdeterminant

13 $ amp()+$-0123(4-5766-398( 1 lt=98ampgt8BA(0)CD ampE()gt+F)-0-amp=$8B98amp

GBHBIJLKMNPOQRJTSPJUMNPOWV4XFJUYZY[]ONPO^`_aQcbdMeJUfgXNihfcNPj^kBlnmodpqldrsodtupwvyx z|~B9iZ]nn pqodUrvFLv ke~tRo|v n|L zio UtclF9~rRt o| tuBpwldi4v vld~cmldp ldZP=tRz|U~tR v p QsfcfRJUY iexcljcent=JLh HkBlnmodpqldrsodtupwvFpoundcurren0]yenamptsv nod$brvbarv 9BiZPampUsect9lpwTumll| pqodvnncopynordf tc4v-vwLvwlaquo Bpwldi4vnot ldm4v p r=shyldrreg~Utc4v p

macrdegWplusmn5sup25sup3Zacuteimicro|sup2|para7middotcedilsup1ordm|sup1raquo~frac14dfrac12frac12currenfrac34Liquestefrac14dAgrave Aacutesup1Acirc|Atilde(Agrave5Auml|raquoLAacuteAuml|AringcedilAElig$CcedilEgraveAtildecedilAtilde(EacutePAumldAring~raquoiEcircfrac14cedilwfrac34UEumlsEacuteifrac14AEligwAtildeEcircIacuteIgrave(AtildeAacuteIcircAumlUEcircAElig5IumlETHEgraveIcirc~Atilde frac34TCcedil=AtildecedilAtildeEcirccedilsup1AcircnAtilde5raquoNtildeAacuteAumlZCcedilEgravefrac14cedil4EcircAElig=AacuteIcirc~AtildegAtildeEcircordm|Atilde5AEligEgraveAumlOgravefrac14draquosup1Igravefrac14dordm|AtildegOgraveregcedilAumldIgraveOacuteAacuteIcircAtildeIgrave(sup1raquosup1Igrave(sup1Ocircfrac14ZAacutesup1Auml|raquo(AumldOgravefrac14yAgravecedilsup1currenAacuteAtildecedilsup1Auml|raquo(Ccedilgsup1currenAacuteIcircAuml|raquo~frac12currenfrac34EacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircOtildeAacuteAtildecedilIgrave(AElig5IumlETHEgraveIcirc~Atilde(Igravefrac14sup1raquotimesOuml~AringcedilOumlPAuml|AEligwAtildeAumlOgraveEgravecedilAtilde5ordmdsup1AumldraquoEumlsEacuteifrac14AEligwAtildeEcircOslashfrac14dAgrave Aacutesup1Acirc|AtildeAgrave5Auml|raquoLAacuteAumldAringcedilAEligysup1AEligyAacuteAumliexclAacuteAumlIgravefrac14dUgravenAtilde9AacuteIcirc~Atildefrac14dAgraveAacutesup1AcircnAtilde$Agrave5AumldraquoLAacuteAuml|AringcedilgAtildeAcircnAuml|frac12AcircnAtildeampAringAEligwsup1raquo~ordmFsup1raquoOgraveuAumldcedilIgravefrac14ZAacutesup1Auml|raquoUacuteAumldraquoiexclAacuteIcirc~AtildecedilAtilde5ordm|sup1Auml|raquoAElig5iquestisup1raquoUacutefrac14dEcirc~Ecircsup1Aacutesup1AumldraquoiexclAacuteAumlNtildeAacuteIcircAtildeAgrave5frac12frac14dAEligwAEligwsup1Agravefrac14frac12WEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircsup1raquoOgraveregAumldcedilIgravefrac14Aacutesup1AumldraquoIuml

Ucirc Atilde$OumlcedilAumldOumlPAuml|AEligwAtildeyIcirc~Atilde cedilAtildeyfrac14ordm|Atilde5raquoAtildecedil4frac14dfrac12BUumlAringfrac12Atilde cedilsup1Yacutefrac14raquoUacuteOgraveregcedil4frac14Igrave(AtildeCcedilEgraveAumlcedilUgraveiexclOgraveuAumlcedilcedilAtildeordm|sup1Auml|raquoEumlEacute~frac14dAEligwAtildeEcircOtildefrac14AgraveAacutesup1AcircnAtildeyAgrave5Auml|raquoLAacuteAumldAringcedilAEligraquoifrac14Igrave(AtildeEcircIacuteTHORNampszligUumlagraveampaacuteOtildeacirc5atildePIuml Ucirc Atilde(sup1raquoLAacutewcedilAumlUEcircAringAgrave5Atildefrac14aumlordmdAtilde5raquo~Atilde cedil4frac14dfrac12EgraveAgravecedilsup1currenAacuteAtildecedilsup1Aumldraquoiquestesup1raquo~Agravefrac12Aring~Ecircsup1raquo~ordmaumlEacutePAumlAacuteIcirctimescedilAtilde5ordm|sup1AumldraquoEumlsEacuteifrac14AEligwAtildeEcircfrac14draquo~EcirctimesEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircTAacuteAtildecedilIgrave(AElig5iquestBCcedilgIcircAtildecedilAtildeAacuteIcircAtilde(sup1raquoOgraveuAumlcedilIgravefrac14Aacutesup1Auml|raquoaringAumldraquoaeligAacuteIcirc~Atilde(cedilAtilde5ordm|sup1Aumldraquo~AEligFsup1AEligNtildeAtilde5IgraveFEacutePAtildeEcircEcircAtildeEcircTsup1raquofrac14OgraveregAring~raquo~Agrave Aacutesup1AumldraquoIacuteraquo~frac14dIgrave(AtildeEcircccedilqEcircAtilde5AEligwAgravecedilsup1OumlAacuteAumlcedilegraveIumlBETHEgraveIcirc~AtildeAumlcedilsup1ordm|sup1raquoifrac14frac12sup1currenAacutefrac34aeligAumldOgrave-AacuteIcirc~sup1AEligampCcedilEgraveAumlcedilUgraveaumlsup1AEligampAacuteCcedilEgraveAumlOgraveuAuml|frac12Ecirc]IumlWeacuteWsup1currencedilAEligqAacutefrac12currenfrac34LiquestCcedil=AtildeOumlcedilAumldOumlPAuml|AEligwAtildeyAacuteAumlAringAEligwAtildeNtildeAEligwIcirc~frac14dOumlPAtilde0Auml|OumlAacutesup1Igrave(sup1Ocircfrac14ZAacutesup1Auml|raquoaumlOumlcedilsup1raquo~Agravesup1Oumlfrac12Atilde5AEligAacuteAumlAgrave5AumldIgrave(Ouml~AringAacuteAtildeampAacuteIcircAtildeNtildeAtildeAcircnAuml|frac12AringAacutesup1AumldraquoTAtilde5ecircUAring~frac14Aacutesup1Auml|raquoOtildeAumlOgraveAacuteIcirc~Atilde9frac14dAgrave Aacutesup1Acirc|AtildeAgrave5AumldraquoLAacuteAuml|AringcedilAacuteIcircifrac14ZAacute=Ccedilgsup1frac12frac12PIgravefrac14dUgravenAtildegsup1currenAacute-Atilde5AcircnAuml|frac12AcircnAtildefrac14dAEligOgraveRfrac14AEligqAacutegfrac14dAElig-OumlPAuml|AEligwAEligwsup1Eacute~frac12AtildeAacuteAumlCcedilEgravefrac14cedil4EcircAEligEgravefrac14yIgrave(sup1raquosup1IgraveNtildeAring~IgraveeumlAumlOgraveAacuteIcirc~AtildeAgravecedilsup1currenAacuteAtildecedilsup1Auml|raquoIumliatildeAtildeAgrave5Auml|raquo~Ecircfrac12currenfrac34LiquestLCcedilEgraveAtildeampAacute4frac14UgravenAtildesup1raquoLAacuteAumlfrac14Agrave5Agrave5Auml|AringraquoLAacuteAacuteIcirc~AtildeampAcircdfrac14cedilsup1frac14Aacutesup1AumldraquoAumldOgraveBAacuteIcirc~Atilde$EcircAtilde5AEligwAgravecedilsup1OumlAacuteAumlcedilAEliggEcircAringcedilsup1raquoordmAacuteIcirc~Atilde$OumlcedilAuml|Oumlifrac14ordmnfrac14ZAacutesup1AumldraquoaumlAumldOgraveAacuteIcirc~AtildeyAgrave5AringcedilAcircnAtilde|IumligraveiacuteraquoiEcircAtilde5AtildeEcirc]iquestPfrac14(EcircAtildeAEligwAgravecedilsup1OumlAacuteAumldcedilIgravefrac145frac34EacutePAtildeyordmdfrac12AumldEacuteifrac14frac12frac12currenfrac34aumlfrac14ZAacutewAacute4frac14dAgrave4Icirc~AtildeEcircAacuteAumlAacuteIcircAtildecedilAtilde5ordm|sup1AumldraquoFfrac14raquoiEcircAacuteIcircUAring~AElig5iquestPccedilscedilAtilde5ordm|sup1AumldraquoEumlEcircAtilde5OumlPAtilderaquoiEcircAtilderaquoUAacuteegraveIumlZigraveAacuteIcircifrac14Ouml~OumlPAtilde5raquoAEligCcedilgIcirc~Atilderaquo0AEligqAacute4frac14ZAacutesup1AEligqAacutesup1Agrave5frac14dfrac12LOgraveuAtildefrac14ZAacuteAringcedilAtilde5AEligBAumldOgrave~frac14gcedilAtilde5ordmdsup1Auml|raquoiquestfrac12sup1Ugrave|AtildeFOgraveuAumlcedilFAtildeicircfrac14Igrave(Ouml~frac12AtildeNtildeAacuteIcircAtilde(Igrave(Atildefrac14draquoTAumldcedilyAacuteIcirc~AtildeFAcirc|frac14Zcedilsup1Yacutefrac14raquo~Agrave5Atilde(AumlOgrave9frac14iexclcedilAtilde5ordmdsup1AumldraquoiquestBfrac14cedilAtilde(AEligwAtilde5frac12Atilde5Agrave AacuteAtildeEcircOslashfrac14dAElig0EcircAtildeAEligwAgravecedilsup1OumlAacuteAumldcedilAElig5IumlUcirc AtildeAEligwIcircAumlCcedilAacuteIcirc~frac14AacuteyAacuteIcirc~AtildeEcircAtilde5OumlPAtilde5raquoiEcircAtilde5raquo~AgraveAtilde(AumldOgraveAacuteIcirc~AtildeEcircAtilde5AEligwAgravecedilsup1OumlAacuteAumlcedilAEligNtildeAumldraquotimesAacuteIcirc~AtildecedilAtildeordm|sup1Auml|raquoOslashsup1raquoiEcircAring~Agrave5AtildeAEligNtildefrac14dEcirc~Ecircsup1Aacutesup1Aumldraquoifrac14dfrac12AacuteAtildecedilIgrave(AElig=sup1raquoAacuteIcirc~AtildeAtilde5AcircnAuml|frac12AringAacutesup1AumldraquoAtildeecircLAring~frac14Aacutesup1Auml|raquoAumldOgraveAacuteIcirc~Atildeampfrac14AgraveAacutesup1AcircnAtildeampAgrave5AumldraquoLAacuteAuml|Aringcedil=AacuteIcircifrac14AacuteEgraveIcircifrac14AcircnAtilderaquoAumldAacuteEacutePAtildeAtilde5raquoiexclOumlcedilAtilde5AcircUsup1Auml|Aring~AEligwfrac12currenfrac34Agrave5Auml|Igrave(OumlAringAacuteAtildeEcirc]IumlTHORNampszligUumlagraveampaacuteOtildeacircatildeIacuteordm|sup1AcircnAtilde5AEligFfrac14draquoaeligAtilde5frac14dAEligqfrac34aeligCcedilEgravefrac14frac34TAacuteAumlUacuteAacute4frac14dUgrave|AtildeAEligwAringAgrave Icircaeligfrac14OtildeEcircAtilde5OumlPAtilde5raquo~EcircAtilde5raquoAgrave5Atilde(sup1raquoLAacuteAumlaumlfrac14dAgrave5Agrave5AumldAring~raquoLAacutefrac14draquo~EcircAacuteAumlAgrave5AumldIgrave(Ouml~AringAacuteAtildeAacuteIcirc~AtildecedilAtilde5AEligwAring~frac12currenAacutesup1raquo~ordmfrac14dEcirc~Ecircsup1currenAacutesup1Auml|raquo~frac14dfrac12]AacuteAtildecedilIgrave(AElig5Iuml

UumlicircOumlPAtildecedilsup1Igrave(Atilde5raquoLAacute4frac14dfrac12LcedilAtilde5AEligwAringfrac12currenAacuteAElig-OumlPAumldsup1raquoLAacute-Auml|AringAacuteAacuteIcircAtildesup1Igrave(OumlPAumldcedilwAacute4frac14draquoAgrave5AtildeAumldOgravePAacuteIcircAtildegfrac14|EcircEcircsup1currenAacutesup1Auml|raquoifrac14frac12AacuteAtildecedilIgrave(AEligeAacuteAumlcedilAtilde5frac14dAgrave4Icircfrac14AacutewcedilAring~Atilde-Igrave(sup1raquosup1IgraveFAring~IgraveAumlOgraveiAacuteIcirc~Atilde-Agravecedilsup1currenAacuteAtildecedilsup1Auml|raquo(frac14raquoiEcircyAEligwAumlAacuteAumlAgraveAuml|raquoUAcircnAtildecedilordmdAtildeEgraveAuml|raquoNtildefrac14dAgrave5AgraveAringcedil4frac14AacuteAtildeEgravecedilAtildeAEligwAring~frac12currenAacuteAElig5IumldETHEgraveIcirc~AtildeEgraveAgrave5AumlZAcircdfrac14cedilsup1frac14draquoAgrave5AtildeIgravefrac14Aacutewcedilsup1currenicirc0EcircAtilde AacuteAtildecedilIgrave(sup1raquoifrac14draquoLAacutefrac14Ouml~OumlPAtildefrac14ZcedilAEligeAacuteAumlEacutePAtildefrac14Acirc|Atildecedilwfrac34$cedilAtilde5frac12Atilde5Acircdfrac14draquoLAacuteeAacuteAumlLAuml|frac12UOgraveuAumlcedil-IcircAuml|Igrave(Aumldordm|Atilde5raquoAtilde5Auml|AringAEligeAgrave5Auml|frac12AumldcedilcedilAtilde5ordmdsup1Aumldraquo~AEligAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquoIumlagrave9AEligampfrac14raquoIacuteAtildeicircfrac14Igrave(Ouml~frac12Atilde|iquestPsup1currenAacute$Icirc~frac14dAEligampEacutePAtilde5AtilderaquoIacuteAEligwAringAgrave5Agrave5Atilde5AEligwAEligqOgraveregAring~frac12frac12currenfrac34Tfrac14dOuml~Oumlfrac12sup1Atilde5EcircaumlAacuteAumlOgraveRfrac14Agrave5Atilde(EcircAtilde AacuteAtilde5AgraveAacutesup1Auml|raquoTsup1raquocedilAtildefrac14dfrac12AcircUsup1EcircAtilde5AumlAEligwAtilde5ecircUAringAtilde5raquo~AgraveAtilde5AElig5Iuml

iumlethUntildeograve0oacute sup3ocircWplusmn|otildeszligAtildeordm|sup1Auml|raquoEumlEacute~frac14dAEligwAtildeEcircaringfrac14AgraveAacutesup1AcircnAtildeiexclAgraveAuml|raquoLAacuteAuml|AringcedilAElig5iquestAEligwIcircifrac14dOumlPAtildeiexclAuml|OumlAacutesup1Igrave(sup1Ocircfrac14ZAacutesup1Auml|raquoiquestWAring~raquo~AEligwAringOumlPAtildecedilAcircUsup1AEligwAtildeEcircOslashAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoiquestUOgraveRfrac14dAgraveAtildeyEcircAtildeAacuteAtilde5Agrave Aacutesup1Aumldraquoiquest~Agrave5AumlZAcirc|frac14Zcedilsup1Yacutefrac14raquo~Agrave5Atilde$Igravefrac14ZAacutewcedilsup1currenicircEcircAtildeAacuteAtildecedilIgrave(sup1raquoifrac14raquoLAacuteIuml

Agraveoumloslashdividedugrave|ugraveUuacute 9v vwldpq4Uacute9vop r-g nncopy copyucirc x z|iB9aumlio UtclF9~rRt o| tug]pwldi v

uumlnyacute|thornLyuml13

$amp)(+-)013021+345627893lt=gt9A6CBDFEHGIKJLMONQPltRSJT2MgtI

b H QVUPJOslashbn[]O H []jhYOtildeNihZJaeligKEgrave[WFJLhYXiacutejf H [B[]fcY5Xiacute[PhUacuteQCZaringN[PJOslashNPO^UBQc^JL[YZJ[]ZOslashJUO H N H Qc[]OO^G QsObnJ H MeJ[PhQV[]QcONPf_WF[PhY` []O YZON`PJUYbacaumlNPYZYaJ H NPfd^VegfhSiSi]jeiexclNPO Jk H JUOYQVUPJhZJUYZJUNihbMMNPYaeligcent=JLJUO7KEgraveJLhYXiacute[PhlZOslashJU^ H MN H fRJUNP^Y H [B^Nm H [ H MJjYJ[SXon5hJ[]QR[]OWVcentNPYZJU^NPb H QVUPJTbn[]O H []jehYYp^q hQV[]QcONPfsfVmSeNPb H QVUPJ bn[]O H []jehdYWFJLhZJ centEgrave[]jO^NihYmVcentNPYJU^bZOslashJ H Me[W^Yoaq jecentEgraveJLh HNPO^rcOtilde[PhdOeKhZ[PcentY H e sSs fj^ G ON`PJUYtacaumlNPYZYaeligJ H NPfd^VeufhSiSi]jeycent-NPfcfR[B[]OYoa)v[]MeJUOOefhShfj[Phw[PJL[W^eJUYZQcbNPb H QVUPJbn[]O H []jehdYxa)vNPYZJUfcfRJUY J H NPfd^VeyfhSh]zSj`NihZJOacute^hQVUPJUOH [WFNih^Y H MeJ JU^[PJUY [SXOtildeNPOQZaringN[PJS^|MeJ JUP[]fcj H QR[]OJjN H Qc[]O QcYOslashbn[]ZOslashK-j H JU^XiacutehZ[]ZNaumlbnhQ H JLhQR[]O H MN H []OfVmtimesQsObLfcj^eJUYNaumlfR[WbLNPfQcOFX[PhlZ N H QR[]Otimes[]O H MeJ(centEgrave[]jO^NihYm[SX H MeJauml[Pcent~JUb HH [ YZJ[]ZOslashJUO H ^MeJt`PJmQc^eJUNOacute[SXOtildehZJ[]QR[]OWVcent-NPYJU^ NPb H QVUPJeumlbn[]O H []jehYehY H fVmKh[PK=[]YZJU^ centma)vF[]MJUOTJ H NPfd^VefhShS[]OXqNih^OefhShje]QsY H [OtildeQcO H hZ[B^jbnJ0N_[]fR[PcentNPfBQcOXiacute[PhlZaringN H QR[]O[]O H MeJIacute^QV=JLhZJUO H hZJ[]Qc[]OY H [ YJ[]ZOslashJUO H QcOaNP^^Q H QR[]O H [ H MeJIacutecent=[]jO^NihYmVcentNPYJU^QcOFX[PhlZ N H QR[]OOe H [_ZaringN`PJ H MeJNtildeNPb H QUPJNtildebn[]O H []jehJUP[]fUPJS^iexcl[WFJUPJLhePQ H QcYgO[ H9H hQVUWQcNPfH [timesbn[]ZOslashKj H J H MeJJUP[]fcj H QR[]OaringJBjN H QR[]O [SX H MeJiexclNPb H QVUPJUacutebn[]O H []jeh H MN H WQcfsfZaringN`PJQ H JUP[]fUPJ H [WFNih^Y0NyZ QcOQZtimesjFZ[SXNTbnhQ H JLhdQR[]OOslashQcObLfcj^QcO[centEgrave[ H MOslashhZJ[]QR[]OWVcent-NPYJU^NPO^centEgrave[]jO^NihYmVcentNPYJU^ H JLhlZaringY^JUbnJUO H fmSeZaringNPOm KNiKEgraveJLhY MNUPJeumlNP^^ehZJUYYJU^ H MQsYOslashKhZ[PcentfcJZ^0 hZJUWQRJW [SXH MeJUYZJrZaringJ H Me[B^Y QsY`KhZ[PKEgrave[]YJU^1QcO G JUb^ ^ G []ZOslashJ[SX H MeJUYZJxWF[PhY`WY^e[ Oe[ Hbn[]ZOslashK-j H J H MeJ H MeJL[PhZJ H QcbLNPfJkWKhZJUYZYZQc[]O[SX H MeJUPJUfR[BbLQ H mUPJUb H [PhOtilde[SX H MeJtimesNPb H QVUPJbn[]O H []jehcentj H H MeJm bdMe[[]YZJ H MeJ ^QcYKfcNPbnJZaringJUO H H MN H WQcfcf_ZaringN`PJ H MeJbnhQ H JnVhQc[]O ^JUbnhZJUNPYJa)vMN`hNicentEgrave[Ph H m J H NPf)^VefhShSvMeJUYONPj^ J H NPfd^VefhShSh]j^ qH MeJLhWF[PhY`WYKh[PK=[]YZJ H MeJIacutebn[]ZaringKj H N H QR[]O`[SX H MeJUPJUfR[BbLQ H mUPJUb H [PhOtildecentm hZJU^jbLQcOF[ H MeJWM[]fRJOacuteKh[PcentfRJZ H [ centEgrave[]jO^NihYm QcO H J[PhdNPfcYxa)MjNPO^0jQcfcfcJSeyfhShSgampNihN~V[]QR[]Y`NPO^JLhQsbMeJSefhShSh]j[Ph`centm jYQcO[ H MeJ7fRJUPJUfTYJ H ZOslashJ H Me[W^a G NSZ Y[]OJ H NPf)^Ve sSsSs Ov(MNPONPO^$JUYZJSe sSs fj^OMeJm H MeJUOjYZJ H MeJyNtildejfRJLhVAN[PhNPO[PJJBjN H QR[]OY H [ bn[]ZOslashKj H J H MJaumlJUP[]fcj H QR[]OJjN H Qc[]OO^iexcl[WFJUPJLhe H MeJOtildeQcOXiacute[PhlZaringN H QR[]O []O H MeJauml^Q=JLhJUO H hZJ[]QR[]OYe H MN H WNtildeJaumlbLNPfsfMeJLhZJn^eJUYbnhQRK H [Phlp [SX H MeJIacutebn[PhhZJUYKEgrave[]O^QcOF[aringhZJ[]QR[]OOeKZaringNmacent=Jy[]fR[PcentNPfcfVm N HH NPbdMeJU^ H [H MeJ(hJ[]QR[]OO^S5O^eJLJU^OslashQ H [WbLbLjehYXiacute[Ph0Y H N H QcY H QcbLNPf^eJUYZbnhdQRK H [PhYampYZjbdMaringNPY H MeJ_ZOslashJUNPOOeH MeJUiNihQcNPObnJ[Ph H MJMQcY H [S[PhNSZ [SX H MeJ hZJ[]QR[]O^Q5O bLNPYJ [SXUacutejOYZjK=JLhlUBQcYZJU^YJ[]ZaringJUO H N H QR[]Oe H MeJUYZJ ^eJUYZbnhdQRK H [PhYIacuteNihZJ hZJnVJUiNPfcjN H JU^JUNPbM H QZaringJ H MeJ NPb H QVUPJbn[]O H []jehJUP[]fVUPJUYiexclNPO^aY[ H MeJmU~Nihlm^jehQcO[ H MeJIacuteKhZ[PKN[]N H Qc[]O[SX H MeJtimesNPb H QVUPJbn[]O H []jeh^yhZJUWQR[]jYWF[PhY`BYIacute[]O7hZJ[]QR[]OWVcent-NPYJU^NPb H QUPJbn[]O H []jehYaelig^e[eumlOe[ HIacuteH N`PJQcO H [ NPbLbn[]jO HaumlH MQcYKEgrave[]YZYZQRcent-fRJyUiNihQcN H QR[]Oeuml[SX H MeJaring^eJUYbnhQRK H [PhY H [bn[]ZOslashK-j H J H MeJJUP[]fcj H QR[]OJjN H QR[]O[SX H MeJTNPb H QVUPJIacutebn[]O H []jeh^ JTKhZ[PKEgrave[]YJaumlMeJLhZJaumlN[PJUOeJLhNPfNtildejfRJLhQcNPOoXiacutehNSZOslashJWF[PhY`X[PhhZJ[]QR[]OWVcentNPYZJU^NPb|V

H QVUPJbn[]O H []jehY`ONSZOslashJU^ iexcl_0 Uacute_wcent G aiexclJXiacute[PhlZaringNicent-fRJpoundJ[]QR[]OYa^ehQUPJUO centm NPONtildejfRJLhQcNPO iexclbLbLjhN H JT_aQsOQZaringQVcurrenUN H Qc[]O _aJ H Me[W^X[Ph G J[]ZOslashJUO H N H QR[]Ogtj^gtMeJiexclZaringNPQcObn[]O H hQRcentj H QR[]O[SXy[]jh_WF[PhY`aQcY H [centjQcfs^ N H MJL[PhZJ H QcbLNPfQXhdNSZOslashJWNtilde[Phl`centNPYJU^`[]O

uumlnyacute|thornLyuml13

yenKbrvbarsect =4 acirc $ YZMNiK=JT[PK H QZaringQVcurrenUN H Qc[]OKhQsObLQRKfRJUY^ Q H M YZjbM`NPO`NiKKhZ[]NPbMegtWFJIacutebLNPO hZJUNP^QsfVmH N`PJ7QcO H [ NPbLbn[]jO H`H MeJpoundUiNihQcN H QR[]O [SX H MJOacute^eJUYZbnhQcK H [PhY H MN H NihJpound[]fR[PcentNPfcfmN HH NPbdMeJU^ H [ H MeJUacuteJUP[]fVUWQcO[timeshZJ[]QR[]OYgaqbLNPfsfRJU^ hZJ[]QR[]OWV4^eJLKEgraveJUO^JUO H ^eJUYZbnhQcK H [PhYj^ JOtildeYZMe[W H MN HH MeJiexclU~NihQsN H QR[]O [SX9hZJ[]QR[]OWV4^eJLKEgraveJUO^JUO H ^eJUYZbnhQcK H [PhYF^jehQcOF[ H MeJJUP[]fcj H QR[]OOtilde[SX H MeJ0NPb H QUPJFbn[]O H []jehampQcO^jbnJUY9NP^^Q H QR[]ONPf H JLhlZaringY9QsO H MeJyJUP[]fcj H QR[]OJBjN H QR[]Oeuml[SX H MeJOslashNPb H QVUPJ bn[]O H []jeh^MeJUYZJaeligNP^^Q H QR[]ONPf H JLhlZaringYOtildeMNUPJaringOe[ H centEgraveJLJUOKhJUBQR[]jYZfVm bn[]ZOslashK-j H JU^uml^

G []ZOslashJNtildeJkeNSZOslashKfcJUY[SX-jOYZjeKEgraveJLhYUWQcYJU^TYKN H QcNPfBYJ[]ZOslashJUO H N H QR[]OOePjYZQsO[ H MeJcopyUiNihQuVNPObnJ [SX H MJOslashhZJ[]QR[]OYe9KhZ[UPJ H MeJ QZOslashKEgrave[Ph H NPObnJOslash[SX H MeJ NP^^Q H QR[]ONPf H JLhlZaringYordfXiacute[PhH MeJ(NPbLbLjehdNPbmIacute[SX=YJ[]ZOslashJUO H N H QR[]OOslashhZJUYZjf H Y^MeJNP^^Q H QR[]ONPf H JLhlZ YZIacutejY H O[ H centEgraveJXiacute[PhY[P[ HH JUO QcO [Ph^eJLh H [laquo[PJ HH MeJ_XqNPY H JUY H NPb H QUPJUacutebn[]O H []jeh(JUP[]fcj H QR[]O H [WNih^Y(NZaringQsOQZtimesjFZoslash[SX H MeJaumlbnhdQ H JLhQR[]OO^not QcONPfcfVmSe H MeJbn[UiNihQcNPObnJbZ N H hQk ^eJ H JLhZaringQcONPO H NiKKEgraveJUNihY H [ cent=JNrUPJLhYmhZJUfcJU~NPO HH [B[]fOX[PhMe[]ZOslash[S[PJUOeJL[]jYbn[]fR[PhiexclhZJ[]QR[]OYYZJ[]ZOslashJUO H N H Qc[]OO^gtMQcY H [[]fQcYYZjbLbnJUYZYXqjfcfVm NiKKfcQRJU^ H [XqNPbnJIacute^eJ H JUb H Qc[]O []OhZJUNPfUBQc^JL[aringYJjJUObnJUY^MeJa^eJ H NPQcfcJU^ [UPJLhYUBQcJW []O hZJ[]QR[]OeVcentNPYJU^ NiKKhZ[]NPbMJUY QsYaringKhZ[PKEgrave[]YJU^ QcOG JUb^ eshyWMQcfRJOslash[]jeh0jfRJLhdQcNPOumlXiacutehNSZOslashJWF[PhY`uml5_0 Uacute_ cent G QcYauml^JUYZbnhQRcentEgraveJU^QcO G JUb^^MQcY|XhdNSZOslashJWNtilde[Phl` QcY H MeJUONiKKfcQRJU^ H [ H MJjOYZjeKEgraveJLhYUWQcYJU^aringYJ[]ZaringJUO H N H QR[]O[SXMe[]Zaring[S[PJUOeJL[]jYIacutehZJ[]QR[]OYIacutejYZQcO[ H MJregUiNihQcNPObnJ QsO G JUb^lt`NPO^ H MeJ bn[U~NihQsNPObnJZaringN H hdQk ^eJ H JLhZaringQcONPO H QcO G JUb^gtmacr^

degEplusmnyLMgtsup2Qsup32acutemicromiddotparaJcedilJacutemicrosup1acuteIKJordmcedilIltN paraJcedilJacutewMraquo Jfrac14ltacutefrac34frac12oLJMgtIiquest acuteAgravegtT2MgtIAacutelAcirclaquocedilFAtildeacuteNAumlfrac12R]JT13Aringgtacutesup1AEligMgtIKJMgtPltLAtildeJUbnJUO H fVmSeZaringNPOmNPj H Me[PhdYtimesMNUPJKhZ[PKEgrave[]YJU^NwWNm[SXNP^^QcOF[hZJ[]QR[]OWVcent-NPYJU^H JLhlZ YQcO H MJTJUP[]fcj H Qc[]O JjN H QR[]Ow[P[UPJLhOQcOF[ NPb H QVUPJtimesbn[]O H []jehdY Xiacute[PhiexclYJ[]ZaringJUOWVH N H QR[]O QsYZYZjeJUY^QMeJ KhZ[PcentfcJZ Y H N H JZaringJUO H QsYhY H KhZJUYJUO H JU^NPO^ H MeJUO H MeJY H N H JnV[SXV H MeJnV4Nih H QcY^J H NPQcfRJU^O^ ^f^bCcedil_EgraveKEacuteltEcircgtEumlIgraveFIacuteIumlIcircETHOgraveNtildeFETHIgraveFIacute5IgraveFOacuteETHiexclJLhZJSeOcircWFJa^eJUYZbnhdQRcentEgraveJ H MJ JjN H Qc[]OYaringNP^^ehJUYZYZQcO[ H MeJ`QcYZYZjeJ[SX H MeJYJ[]ZaringJUOWVH N H QR[]O[SX NPOQCZaringN[PJxOtilde QsO H WNtilde[ hZJ[]Qc[]OY^iexclgJ H jYeuml^eJOeJrOumlcopytimesOslash H MeJhJ[]QR[]Obn[]O H NPQcOQcOF[ H MeJ[Pcent~5JUb H Y H [YZJ[]ZOslashJUO H NPO^ OumluUgraveUcircUacuteUuml H MeJeumlcentNPbY`[PhZ[]jO^ hJ[]QR[]OO^MJUQRhFbn[]ZregZOslash[]O centEgrave[]jO^NihlmaringQcY(Oe[ H JU^YacuteOcirc^F9J H jY(bn[]OYZQc^JLhNPOaNPb H QVUPJaumlbn[]O H []jhYacuteadTHORN]szligYagravejaacuteacirca2atildeadTHORN]szligYagravejszligaumlOadTHORNOgraveszligYagravejje]WMeJLhZJuTHORNuZaringNmTcentEgraveJ H MeJ(NihbNtildefcJUO[ H Mtimes[SX H MeJbn[]O H []jhNPO^umlagraveQsYOtildeNPOJUP[]fcj H QR[]OeumlK-NihNSZOslashJ H JLh^shyMeJOslashNPb H QVUPJ bn[]O H []jehIacuteNiKKhZ[]NPbMpoundZ N`PJUYYacuteadTHORN]szligYagravejJUP[]fVUPJ H MehZ[]j[]M H MeJ|Xiacute[]fcfR[WQcO[K-Nih H QcNPf^Q=JLhJUO H QcNPf]JjN H Qc[]Ooa5copyjaringaelig YacuteadTHORNOgraveszligYagravejaelig agrave aacuteegraveccedilyeacuteecircaacuteegraveeuml WQ H MigraveYacuteaagraveregaacute s j|aacuteegraveYacuteshyiacute afjWMJLhZJfrac34YacuteltiacuteaQcY NPO QsOQ H QcNPfbLjhYUPJ ^JOeJU^centm H MeJeumljYJLhNPO^egraveeacute H MeJ QsOOgraveWNih^Oe[PhZaringNPfUPJUb H [PhOtilde[SX|YacuteadTHORN]szligYagravej^MeJUPJUfR[WbLQ H mfrac34ccedil QcY^eJLhQUPJU^wXiacutehZ[]Z NZaringQsOQZaringQVcurrenUQsO[

uumlnyacute|thornLyuml13 2

$amp)(+-)013021+345627893lt=gt9A6CBbnhQ H JLhQR[]O NPO^ QsY bdMe[]YJUO Y[ H MN H H MeJ YZ[]fcj H QR[]OicircYacuteaUcirciumlVszligYagravej bn[]OUPJLhY[PJUY H [ H MeJ[Pcent~JUb H centEgrave[]jO^NihYmSeYacuteaUcirciumlethjeNPY_agraveregntildeoacuteograveicirc^5ObLfcNPYYZQcbLNPfcentEgrave[]jO^NihYmVcent-NPYJU^ZOslashJ H Me[W^Ya)v(NPYJUfcfRJUY(J H NPfd^VeshyfhSh]zg_`NPfcfcNP^QJ H NPfd^VelaquofhShSmacr]je H MeJsup1UPJUfc[BbLQ H m XqjOb H QR[]OHccedil QsY`^eJLhdQVUPJU^XiacutehZ[]ZCNPOJUOeJLhY[Smacircocirc^eJLKEgraveJUO^QcO[T[]O H MeJOtildecentEgrave[]jO^NihlmYacuteOcircaring

ocircOgraveotilde UgraveUacute OslashoumlYdivideloslashugrave aYacuteQj|aacute uacuteucircyacuteuumlgtthorn otilde)yuml THORN a jWMJLhZJ_uuml thorn otilde)yuml QcYNtildeNyXqjOb H Qc[]O ^eJUYZbnhdQRcentQcO[ H MeJiexclcentEgrave[]jO^NihYmtimes[SX H MeJiexcl[Pcent~JUb H ^vNPYZJUfcfRJUYJ H NPf_a)vNPYJUfsfRJUYaumlJ H NPfd^VefhSh]zSjIacutebM[[]YJ H MeJregXqjOb H Qc[]Obuuml thorn otilde)yuml aacuteKa ordmOtilde jyWMeJLhZJtaring s szliggograve8ntilde Otilde 13 QcYiexclN Y H hdQcb H fVm ^eJUbnhZJUNPYZQsO[XqjOb H Qc[]OaY[ H MN H a]juntilde s NPYgntildeoacuteograveicirc^SMeJFbn[]ZOslashKj H N H Qc[]OIacute[SX H MeJUPJUfc[BbLQ H mccedilicircXiacutehZ[]Z H MJFbnhQ H JLhQR[]Oa j9QsYOe[WWFJUfcfO`WOe[WiexclOsup1a)vNPYJUfsfRJUYJ H NPfd^VeltfhSh]zSjiexclNPO^`fRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[OslashJUP[]fcj H QR[]OJBjN H QR[]OOaring aelig Yacuteaelig agrave aacuteFuuml thorn otilde)yuml uuml thorn otilde)yuml eacute13eacute ad]jWMJLhZJ QcY H MeJaumlbLjehYUiN H jehZJOtilde[SXYacuteaagravej^iexcl[WFJUPJLhecent=[ H MaringhZJ[]QR[]OYOcircOumlcopytimesOslashtimesNPO^Ouml UgraveUcircUacuteUuml ZaringNmtimesMNUPJiexcl^QV=JLhZJUO H KhZ[PKEgraveJLh H QRJUYamp[SXH Jk H jehZJSeiMe[]ZOslash[S[PJUOeJUQ H mtimes[PhZaring[ H QR[]O H MN H bLNPOOe[ H cent=JQcObLfsj^eJU^aumlQcO H MeJXiacutejOb H QR[]Ouuml thorn otilde)yuml ^ G [ H MeJoZaringNPQcOOacuteKjehZKEgrave[]YJaring[SX(hJ[]QR[]OWVcentNPYJU^7NiKKh[]NPbMeJUYaeligQcY H [ QcO H hZ[W^jbnJYZjbM Nx[]fR[PcentNPfUacuteQcOXiacute[PhlZaringN H QR[]O QcO H MeJ UPJUfR[WbLQ H m XiacutejOb H QR[]Oicircccedil QcO NP^^Q H QR[]O H [H MeJeumlfR[WbLNPfiexclQsOX[PhZaringN H QR[]OKhZ[UWQc^eJU^ centm cent=[]jO^NihYmVcentNPYJU^ H JLhlZaringY^copyMeJZaringNPQcOBjeJUY H QR[]OeiQsOIacute[Phd^eJLh H [~jY H QVX2m H MeJQcO H hZ[W^jb H QR[]OIacute[SX H MJUYJ(hZJ[]QR[]O H JLhlZ Ye]QcY H [^eJLhdQVUPJ H MeJuUPJUfR[WbLQ H mlaquoXqjOb H QR[]OlaquoXiacutehZ[]ZNPOOslashJUOeJLhl[SmS^Ograve9[IacuteYJ H Nordf[PJUOeJLhNPfFXhNSZaringJWNtilde[PhY`NPO^ H [Oslashbn[]ZOslashKNihZJ H MeJUacute^QEgraveJLhZJUO H NiKKhZ[]NPbMeJUYFKh[PK=[]YZJU^ QcO H MeJUacutefcQ H JLhN H jhZJSeWFJOe[W QcO H hZ[W^jbnJ Nw[PJUOeJLhNPfNtildebnhQ H JLhQR[]ObXh[]ZigraveWMQsbM H MeJUPJUfR[WbLQ H mpoundZaringN[]OQ H j^eJZaringNmcent=JOtilde^eJLhdQVUPJU^Oaring

ocircOcircadOumlutimes OslashgtszliglOuml UgraveUcircUacuteUuml szligYYacuteQjbaacute uumlgtthorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszliglOuml UgraveUcircUacuteUuml j atilde auml $ uumlgtthorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashFj atilde aumlamp uacuteucirc uumlgtthorn otilde)yuml a2atildeltszligaumlj THORN a2jWMJLhZJyuuml thorn UgraveUcircUacuteUuml yuml QcYONSZaringJU^ H MeJwn^JUYZbnhQRK H [PhpOslash[SX H MeJaumlcentNPbl`[PhZ[]jO^ hZJ[]QR[]Oegtuuml thorn timesOslash yumlH MeJsup1n^eJUYZbnhQRK H [Phlp[SX H MeJaring[Pcent~JUb H hZJ[]Qc[]ONPO^buuml thorn otilde)yuml H MeJsup1n^eJUYZbnhQRK H [Phlp [SX H MeJbn[]O H []jeh^MJOslashhZJ[]QR[]O^eJUYZbnhdQRK H [PhYordfZaringNm`centEgraveJlaquo[]fR[PcentNPfsfVm`N HH NPbdMeJU^ H [ H MJUQRhOtildehZJnVYKEgraveJUb H QVUPJOslashhJ[]QR[]OYeOumlcopytimesOslasha[PhOuml UgraveUcircUacuteUuml e9NPO^Y[^eJLKEgraveJUO^euml[]O H MeJZ aqQVXFY[e H MeJmNihZJbLNPfcfcJU^pihJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhYYpOgravej^ H MNiKK=JUOYshyWMJUOtimesY H N H QcY H QcbLNPfXiacuteJUN~VH jehJUYg[SXNhJ[]QR[]OTfcQ`PJSeXiacute[Ph9JkeNSZOslashKfRJSe H MeJZOslashJUNPOIacute[Ph H MJ|UiNihQcNPObnJSe~NihZJNtildeYJUfcJUb H JU^NPY(hJ[]QR[]O^eJUYZbnhdQRK H [PhY^MeJ`K-jehZKEgrave[]YJ [SXIacuteNPfcfhZJ[]QR[]OeVcentNPYJU^ NPb H QVUPJOacutebn[]O H []jehYwZOslashJ H Me[W^YQcY H MeJUOH [poundZaringN`PJ H MeJaNPb H QVUPJabn[]O H []jeh JUP[]fVUPJ H [WNih^Y NeumlKNih H Q H Qc[]O[SX H MeJ`QZaringN[PJSeadOumluUgraveUcircUacuteUumlszliglOuml timesOslash szligYYacuteQje H MN H ZaringQcOQZ QVcurrenLJUY H MeJTbnhQ H JLhdQR[]Opounda2j^

uumlnyacute|thornLyuml13 (

yenKbrvbarsect =4 acirc $ macr ^ ^)+ltIgraveFEgrave-+13IgraveigraveEacute10Igrave22IcircETH313Oacute4 EgraveOIgrave54EacuteshyOacute76EcircgtNtildeltIcircIgrave8 Iacute_IgraveETH39ltEacute8QIcircshyIcirclt2Oacute4Ntilde=KETH3gt+ltIgrave=EacuteshyOacuteshyETHEacute1EgraveIcirc MQcfRJiexclNPONPfVmWYZQcO[aumlhJ[]QR[]OWVcentNPYJU^ NPb H QVUPJUacutebn[]O H []jhYNiKKhZ[]NPbdMeJUYeWNtildeJ5ZaringNm bn[]OWVYZQs^eJLh H MehZJLJyZaringNPQsO QZOslashKEgrave[Ph H NPO H K=[]QsO H Yaring MN H NihJ H MeJT^QV=JLhZJUO H ^eJUYZbnhdQRK H [PhY(jYZJU^BA iexcl[WQcY^eJLhdQVUPJU^ H MeJaumlJUP[]fcj H QR[]O JBjN H QR[]OXiacutehZ[]Z H MeJaumlbnhdQ H JLhQR[]OCA iexcl[WQcYQZaringKfRJZOslashJUO H JU^ H MeJaumlNPb H QVUPJtimesbn[]O H []jehANtildeQR[]OeJLJLhcopyWF[PhY`BY(MNUPJaumlcentEgraveJLJUO KhZ[PKEgrave[]YJU^ centma)vF[]MeJUOJ H NPfd^VefhShSgt[]OXqNih^OefhShj^5ONPOJUNihdfVmpoundWF[PhY`gte|vF[]MJUOJ H NPfd^ua)vF[]MeJUO7J H NPfd^VeufhShS]jIacuteKhZJUYZJUO H NYZjhYXiacuteNPbnJ$hJUbn[]OY H hjb H Qc[]OgZOslashJ H Me[W^TjYQcO[hZJ[]QR[]OWVcent-NPYJU^aumlNPb H QVUPJFbn[]O H []jehdY^MJmbn[]ZOslashK-j H J H MeJUPJUfR[WbLQ H mpoundUPJUb H [Phaelig[SXNPO7NPb H QVUPJ bn[]O H []jhXiacutehZ[]Z H MeJZaringQsOQZaringQVcurrenUN~VH QR[]O[SXampNOslashbnhQ H JLhdQR[]OQcObLfcj^QcO[aumlhZJ[]Qc[]OWVcentNPYJU^ H JLhZaringY^ Oe[ H MeJLh(KQR[]OJLJLhuWNtilde[PhY`MNPYaumlcent=JLJUOK=JLhlX[PhlZaringJU^QcO a[]OXqNih^OeOcircfhShj^iexclJ NPYZYJUYZYZJUY H MN HTH MeJUPJUfR[WbLQ H mXqjOb H QR[]O YZMe[]jfc^aringcent=JKhZ[PKEgrave[Ph H QR[]ONPf H [ H MeJUacute^QEgraveJLhZJUObnJ[SXgY H N H QcY H QcbLNPfXJUN H jehJUYaringccedilaacute uuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml eOgraveWMJLhZJ_uuml thorn timesOslash yuml QsY0NaumlY H N H QsY H QcbLNPfKZOslash[B^JUfe[SX H MeJ[Pcent~JUb H hJ[]QR[]ONPO^tuuml thorn UgraveUcircUacuteUuml yuml N Y H N H QcY H QcbLNPfshyZOslash[B^JUfEgrave[SX H MJaumlcentNPbY`[PhZ[]jO^ hZJ[]QR[]OO^

G []ZOslashJaumlNiKKhZ[]NPbdMeJUY(Kh[PK=[]YZJ H [ bn[]ZOslashKj H J H MeJOtildeJUP[]fsj H QR[]OJBjN H QR[]O [SX H MeJNPb H QVUPJtimesbn[]O H []jhUacutejYZQcO[ H MeJ hZJLJUOWVAiexclQRJZaringNPOO H MeJL[PhZJZ NPO^wNtildejfRJLhVAN[PhNPO[PJJBjN H QR[]OY^OEgraveMBjeumlNPO^frac340jQcfcfcJoa)EgraveMBjNPO^frac340jQcfcfcJSeltfhShS]jKhJUYJUO H NY H N H QcY H QcbLNPfXiacutehNSZOslashJWF[PhY`poundXiacute[PhOslashQZaringN[PJYJ[]ZOslashJUO H N H QR[]OjYZQsO[aNPONPfV[P[PhQ H MZbLNPfsfRJU^n5hJ[]QR[]Obn[]ZOslashKEgraveJ H Q H Qc[]OFp^MeJm^eJLhQVUPJ H MeJeumlNPb H QVUPJbn[]O H []jehJUP[]fcj H QR[]O JBjN H QR[]O centmZaringQsOQZaringQVcurrenUQsO[aringNo[PJUOeJLhNPfcQVcurrenLJU^XNmPJUYDi_wiexcl bnhQ H JLhdQR[]O`QsOYKQRhJU^centm H MeJaring_`jFZaeligVXiacute[Ph^OacuteNPO^ G MNPMJUOeJLhY[Smicircaw_ajFZX[Ph^7NPO^ G MNPMOefhSiSh]j^OcircMeJmKhZ[PKEgrave[]YJ H MeJXiacute[]fcfR[WQcO[aelig^eJUYZbnhQcK H [PhYcopyXiacute[Ph H MeJaumlYJ[]ZaringJUO H N H QR[]O`[SXampY H QcfcfQZ N[PJUYaringEFG FH uuml thorn UgraveUcircUacuteUuml yuml aacute JILK NMregaOtildeKa2atildeshyszligaumlFjPORQ UgraveUcircUacuteUuml juuml thorn timesOslash yuml aacute JILK NMregaOtildeKa2atildeshyszligaumlFjPORQtimesOslashjuuml thorn otilde)yuml aacuteTS admacr]jWMJLhZJUMrega)j9QcY9NiexclKhZ[Pcent-NicentQcfcQ H m^JUOYZQ H m5XqjOb H Qc[]OOeQshytimesNihZJ H MJNtildeKNihdNSZOslashJ H JLhY[SX H MeJ^QsY H hQRcentj H QR[]OX[Ph H MeJaelighZJ[]Qc[]OBVNPO^CSQcYUacuteN KEgrave[]YZQ H QUPJIacutebn[]OY H NPO H ^ not [PhaumlQcfsfcjY H hN~VH QR[]OYe H MeJNPj H Me[PhdYybn[]OYZQc^JLh NPjYZYZQsNPOOslash^QcY H hQccentj H QR[]OYbMNihdNPb H JLhQVcurrenLJU^ centm H WF[KNihdNSZOslashJ H JLhYe H MeJZaringJUNPOIacuteNPO^ H MeJ|UiNihQcNPObnJS^ q ObnJ H MeJWQtimeskWJU^Oe H MeJ0JUP[]fcj H QR[]OJBjN H QR[]O[SXNPONPb H QVUPJ bn[]O H []jhaeligQsYIacutebn[]ZOslashK-j H JU^NPO^^QchZJUb H fVm^eJLhQUPJU^poundXiacutehZ[]ZH MeJbnhdQ H JLhQR[]OO^SMJbLfcNPYZYZQcbLNPfe^JLhQVUiN H QVUPJ([SX H MJ(cent=[]jO^NihYmVcentNPYJU^ H JLhlZ fRJUNP^YH [ H MeJtNtildejbLfcQc^QcNPOpound[PJL[]ZOslashJ H hdQcbMeJUN HYX [Wg^OcircMeJ ^eJLhdQVU~N H QUPJ [SXiexclhZJ[]QR[]OWVcent-NPYJU^H JLhlZ Y QcY H MJUOKEgraveJLhYXiacute[PhlZOslashJU^jYQcO[ H MeJ hZJLJUOWVAQcJZaringNPOO H MeJL[PhJZ NPO^ H MeJNtildejfRJLhVAN[PhNPO[PJaJBjN H QR[]OY^5O^eJLJU^e H MeJeumlbn[]ZOslashKj H N H Qc[]O [SX H MeJaJUP[]fcj H QR[]OJBjN H QR[]OQsYK=JLhlX[PhlZaringJU^ QcO H MehZJLJyZ NPQcO Y H JLKYaringf^Q9hNPOYX[PhZaringN H QR[]Oeuml[SX^e[]ZaringNPQcOQcO H J[PhNPfcYTQcO H [ centEgrave[]jO^NihYmaQcO H J[PhNPfcYTjYZQcO[

H MeJ hZJLJUOeVAQRJZaringNPOO H MeJL[PhZJZ^

uumlnyacute|thornLyuml13

$amp)(+-)013021+345627893lt=gt9A6CB ^vF[]ZOslashKj H N H Qc[]O [SX H MJy0jfcJLhVA9N[PhNPOF[PJOtildeJjN H Qc[]OY^ltO H hZ[W^jb H QR[]O[SXiexclNeuml^mWONSZaringQcbLNPfFYZbdMeJZOslashJ QcO H MeJ0jfRJLhZVA9N[PhNPO[PJ JBjN~V

H QR[]OYQcO [Ph^eJLh H [aeligbn[]ZaringKj H J H MeJ5UPJUfR[BbLQ H mregUPJUb H [Ph[SX H MeJOtildeNPb H QVUPJOtildebn[]O H []jh^MJ UPJUfR[WbLQ H mXiacutejOb H QR[]OoccedilQsY H MJUO bn[]ZaringKj H JU^NPO^Q H fcJUNP^Y H [ H MJ5Xiacute[]fcfR[WQcO[JUP[]fcj H QR[]OJjN H QR[]OOaring aelig Yacuteaelig agrave aacuteacircaduuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml S jeacute ad]jWMJLhZJ QsY H MeJ bLjehlU~N H jehJaring[SXuYacuteaagravej^5O[Ph^eJLh H [aQZOslashK-fRJZOslashJUO HOtildeH MQcYordf|iexcl eNN[PhNPO[]QcNPOXiacute[PhlZtimesjfcN H QR[]O QsY(jYJU^O^JUbnJUO H fmSeampNihN[]Qc[]YNPO^frac34JLhQcbdMeJaNihdN[]QR[]YOtildeNPO^iexclJLhdQcbMeJSefhShSh]jegMNUPJKh[PK=[]YZJU^ NPOJk H JUOYZQc[]O[SX H MeJordfWF[PhY` [SXOcircEgraveMBjNPO^o0jQcfcfcJcentm QZOslashKhZ[UWQcO[ H MeJ^eJUYbnhQRK H [Phaelig[SX H MJbn[]O H []jeh QcO7[Ph^eJLh H [QcObn[PhK=[PhdN H J H MJQCZaringN[PJ[PhNP^QRJUO HNPYiexclQcO[PJL[W^eJUYZQcbIacuteNPb H QVUPJtimesbn[]O H []jehY^gtMeJTJUP[]fcj H QR[]OaJjN H Qc[]OaQcYiexclQZOslashKfRJZaringJUO H JU^jYQcO[ H MeJ(fRJUPJUfBYJ H ZOslashJ H Me[W^aeligQcO H hZ[B^jbnJU^aumlcentm q YZMJLhNPO^ G J H MQcNPOoa q YZMeJLh$NPO^G J H MQcNPOOeltfhSiSi_aNPfcfsNP^Q9J H NPfd^VefhShSmacr G J H MQcNPOOeltfhShS]j^ UPJLhYm QcO H JLhJUY H QcO[KNih H [SX H MQsYyWF[PhY`Oacutebn[]ObnJLhdOY H MeJ QsO H hZ[W^jb H Qc[]O[SXY[]ZOslashJ^eJUYZbnhdQRK H [PhYlaquouuml thorn timesOslash yumlNPO^uuml thorn UgraveUcircUacuteUuml yuml X[PhNiKKfcQsbLN H QR[]OYfcQV`PJ H Jk H jehZJFYJ[]ZOslashJUO H N H QR[]OtimesNPO^gZOslash[UBQcOF[[Pcent~JUb H Y^eJ H JUb H Qc[]OO^

G []ZOslashJT[ H MeJLhUacuteNiKKh[]NPbMeJUYlaquoa)vMN`BhNicentEgrave[Ph H mJ H NPfd^VeltfhShSvMeJUYONPj^ J H NPfd^VefhShSh]j9KhZ[PKEgrave[]YJ H [OtildebMe[B[]YJ(N H JUNPbdMOslashY H JLK H MeJ^QcYKfsNPbnJZOslashJUO H [SX H MeJNPb H QVUPJ(bn[]OWVH []jeh H MN H ZaringN`PJUY H MeJybnhQ H JLhQc[]OOtilde^eJUbnhZJUNPYJS^SvMN`BhNicentEgrave[Ph H miexclJ H NPfd^a)vMN`hNicentEgrave[Ph H mJ H NPfd^VecopyfhShS]jtimesQcO H h[B^jbnJ N`hZJ[]QR[]OWVcentNPYZJU^7NiKKhZ[]NPbMxXiacute[Ph H MeJ YZJ[]ZOslashJUO H N H Qc[]O[SXQZOslashJU^QcbLNPfQZ N[PJUY^ iexclYQcOeKj H [SX H MJUQRhNPfV[P[PhQ H MZe H MeJm bn[]OYQc^eJLh(centEgrave[ H M H MeJNPb H jNPf9QZaringN[PJgOtilde NPO^ H MeJOtildehZJ[]QR[]OWV4bLfsNPYZYZQVJU^ QCZaringN[PJgOtildeoslash^FMeJOtildebLfcNPYZYZQVJU^ QZaringN[PJOtilde oslash QcYiexclbn[]ZOslashKj H JU^`centmwZaringNkeQZaringQVcurrenUQcOF[ H MeJTKEgrave[]Y H JLhQc[Ph^QsY H hQRcentj H QR[]O [SX H MeJThJ[]QR[]OfcNicentEgraveJUfcY[]QUPJUO H MeJQcO H JUOYZQ H maeligQZaringN[PJS^MeJUQRh0hZJ[]QR[]O H JLhlZ JUOXiacute[PhbnJUY H MJcentEgrave[]jO^WVNihYm H [JUObLfc[]YJaringNYZQcOF[]fRJaelighZJ[]QR[]OQcOumlOtildeoslash^MeJaring^JUYZbnhQRK H [PhdYOtildeNihZJ H MeJXiacute[]fcfR[WQcO[WQ H M H MeJauml^QEgraveJLhZJUObnJ H MN HH MeJmWFNPO HH [regZaringNkeQZaringQcurrenLJ H MJTbnhQ H JLhQc[]OocircaringEFG FH uuml thorn UgraveUacuteUuml yuml aacute[Z] Otilde oslash a2atildeltszligaumljuuml thorn times Oslash yuml aacute suuml thorn otilde)yuml aacute[Z cent Otilde_^Ogravea2atildeshyszligaumlFj a)zSjWMJLhZJ]Z NPO^`Z cent NihZJ H WNtilde[7KEgrave[]YZQ H QVUPJbn[]OY H NPO H YNPO^ Otilde_^aQcY H MeJfrac34[PhNP^QRJUO HQZ N[PJS^ KhQc[PhYMNiKEgraveJ H JLhZDQcY(NPfcY[OslashNP^^eJU^ H [ H MJaumlbnhQ H JLhQR[]OeWiexclMQcbMbLNPO centEgraveJQcO H JLhZJUY H QsO[gXiacute[PhZOslashJU^QcbLNPf-QCZaringN[]QcO[gWiexclMeJLhZJ H MJiexclON H jehJ[SX H MeJYZMNiKEgraveJiexcl^[JUYFOe[ HbdMNPO[PJNaumlfc[ H Xh[]Z2QcO^QUBQc^jNPf H [TQsO^QVUWQc^jNPf)^MeJUOeiNPYNtildeQcOwa)EgraveMBjaringNPO^ordm0jQcfcfRJSefhShS]je H MeJWMe[]fRJaumlKhZ[PcentfRJZ QsY(hZJU^jbnJU^ H [ bn[]ZaringKj H QcO[ cent=[]jO^NihYm QcO H J[PhdNPfcYH MNPOF`BY H [ H MeJ hZJLJUOWVAQcJZaringNPOO H MeJL[PhZJZte(hN H MeJLh H MNPO centEgrave[ H M centEgrave[]jO^NihYmNPO^ ^[]ZaringNPQcO QcO H J[PhNPfcY^yacuteMeJQZOslashKfRJZaringJUO H N H QR[]O [SX H MeJNPb H QVUPJ7bn[]O H []jhaQcOa)vMN`hNicentEgrave[Ph H mJ H NPfd^Ve fhShS]jaringQcYaring^e[]OeJacentmjYZQcOF[N not []jehQcJLharingKNihNSZOslashJ H JLhdQVcurrenUN~VH QR[]O^yacuteMeJJkWKhZJUYZYZQc[]O [SX H MeJumlUPJUfR[WbLQ H mAumlUPJUb H [Ph [SX H MeJOacuteNPb H QVUPJ7bn[]O H []jeh QcY

uumlnyacute|thornLyuml13 a

yenKbrvbarsect =4 acirc $ zOe[ H bn[]ZOslashKj H JU^OeNtildecentj HOslashH MeJ bnhQ H JLhQc[]OQcYaringQcO H hZ[W^jbnJU^NPO^ OBjFZOslashJLhQcbLNPfsfVmOacuteJUiNPfuVjN H JU^ QsO [Ph^eJLh H [ ZaringNkeQZaringQVcurrenLJQ H ^ JbLNPO Oe[ H J H MN HH MJeumlNPj H Me[PhYMNUPJKh[PK=[]YZJU^ NlaquoUPJLhYm QcO H JLhZJUY H QcO[aeligJk H JUOYZQR[]O [SX H MQcYWNtilde[Phl` jYQcO[ H MJ5[]NSZaringJ H MeJnV[PhYma)vMN`BhNicentEgrave[Ph H m NPO^jObLNPOOeOfhShSh]j^J[]Qc[]O NPO^ cent=[]jO^NihYmOslashbnhQ H JLhdQR[]OYNihZJYJLKNihdN H JU^OePcentj H JUNPbMaringbnhQ H JLhQR[]Otimesbn[]O H NPQcOY$NPOtimesQsO H JLhNPb H Qc[]OlaquoWQ H M H MeJ[ H MeJLh^ Y H MJ_[]NSZOslashJKhZ[S[PhJUYZYJUYeBcentEgrave[ H MZOslash[W^jfcJUYyQZOslashKh[UPJ H MeJUQRh0KEgrave[]YZQ H QR[]OY H MhZ[]j[]MZtimesj H jNPfQcOFX[PhlZ N H QR[]O YZMNihQsO[^

Oe[ H MeJLhIacuteYZQZaringQcfsNihUacuteNiKKhZ[]NPbMMNPYaumlcentEgraveJLJUOQcO H hZ[W^jbnJU^eumlcentmbvMeJUYZONPj^eumlJ H NPfd^a)vMJUYZONPj^ J H NPfd^VefhShSh]j^FMeJUQchNtilde^eJUYZbnhdQRK H [PhYFNihZJhZJnVJU~NPfsjN H JU^ JUNPbM H QZOslashJUacuteNKEgrave[]QcO H [SX H MJNPb H QVUPJbn[]O H []jehFJUP[]fVUPJUY0YZQsObnJ H MeJUQRh0^JUYZbnhQRK H [PhdY$NihZJY H N H QcY H QcbLNPfXiacuteJUN H jehZJUYOtilde[SX H MeJ QZaringN[PJordm[]fR[PcentNPfsfVm`N HH NPbdMeJU^ H [ H MeJOslashJUP[]fVUWQcO[ hZJ[]Qc[]OY^shyMJmbdMe[[]YZJ H MeJ`hNPO^e[]Z ^QcYKfsNPbnJZOslashJUO H [SXaumlNOacutebn[]OYZQs^eJLhZJU^ KEgrave[]QcO H [SX H MeJ NPb H QVUPJbn[]O H []jehOslashY[ H MN HIacuteH MJ bnhQ H JLhQR[]O7^eJUbnhZJUNPYJUY^$ _X H JLhaeligJUNPbdM ^QcYKfsNPbnJZOslashJUO H [SXNKEgrave[]QcO H [SX H MeJIacuteNPb H QVUPJIacutebn[]O H []jehe H MJT^eJUYZbnhQcK H [PhY(NihZJOtildehZJnV4bn[]ZaringKj H JU^O^

fcN H JLh NiKKhZ[]NPbdM MNPYaringcentEgraveJLJUOQcO H hZ[W^jbnJU^ centm G NSZaringY[]O J H NPfd^_a G NSZ Y[]OJ H NPfd^Ve sSsSs jyacuteXiacute[PhOtildebLfcNPYZYZQbLN H QR[]OaNPO^acentmvMNPO NPO^frac34$JUYJa)vMNPOeumlNPO^frac34$JUYJSesSs fjX[PhaYZJ[]ZOslashJUO H N H Qc[]O [SXaeligY H QcfcfOtildeQZ N[PJUY^yacuteMeJm KhZ[PKEgrave[]YJ H [JZIacutecentEgraveJU^ H MeJbnhQ H JLhQR[]O ^QRhZJUb H fVm`QcO H MJaeligfcJUPJUf$YJ H X[PhlZtimesjfcN H Qc[]OO^Ov(MNPOeumlNPO^$JUYJOslashKhZ[PKEgrave[]YJH MeJordfXiacute[]fcfR[WQcO[Oslash^eJUYbnhQRK H [PhYaringEFG FH uuml thorn UgraveUcircUacuteUuml yuml aacutecb7d Otilde e f centUhguuml thorn timesOslash yuml aacutecb cent Otilde e cent centuuml thorn otilde)yuml aacuteiS adi]jWQ H M e H MeJ NUPJLhN[PJ[SXgOtildeQcOicircOuml timesOslash e e cent H MJ`NUPJLhdN[PJ[SXgOtilde7QsO OumluUgraveUcircUacuteUuml^MeJUYJH WNtilde[ UiNPfcjeJUY NihZJhJnVJUY H QZaringN H JU^ ^jehQcO[ H MeJKhZ[PK-N[]N H QR[]O [SX H MeJbLjhYUPJNPYH MeJaelighZJ[]Qc[]OYJUP[]fVUPJS^shyMeJtimesKNihNSZaringJ H JLhYjb e1b cent egeumlNPO^kSNihJaringY[]ZOslashJaeligKEgrave[]YZQ H QVUPJbn[]OY H NPO H Y^iexclJLhZJ H MJ fRJUPJUfFYJ H ZOslashJ H Me[W^QsYIacute^QchZJUb H fVmjYJU^OacutecentmhJLKhZJUYJUO H QcO[H MeJtimesbLjehYUPJlaquoYacuteaagravejNPY H MeJycurrenLJLhZ[fRJUPJUfampYJ H [SXyNQRKYZbdMQ H currenTbn[]O H QcOBje[]jY_XiacutejOb H QR[]Ol a2atildeshyszligaumlKszligYagravej^]MeJfRJUPJUfWYJ H XiacutejOb H QR[]O l QcYQsO H hZ[W^jbnJU^timesQcO H MeJbnhQ H JLhQc[]OUWQcN H MeJiexclJUNUWQcYZQc^JyacuteXiacutejOb H QR[]Onmra l j^MeJbnhQ H JLhQR[]O QcY H MeJUOoZaringQcOQZaringQVcurrenLJU^WQ H M hZJUYKEgraveJUb HH [ l jYZQcO[OslashNaelighZJ[]jfcNihQVcurrenLJU^UPJLhYQR[]O[SX H MJyZaringQcOQCZaringQVcurrenUN H QR[]O KhZ[PcentfcJZ JIacuteOe[ H JMeJLhJ H MN HFH MeJJUP[]fcj H QR[]OaringJBjN H QR[]O QcY0^QRhZJUb H fVmtimesJkBKhZJUYZYJU^regWQ H M H MJiexclfRJUPJUf-YJ HXqjOb H QR[]O NPO^ Oe[ H WQ H M H MJTbLjehYUPJgYacute|^

G []ZOslashJ[ H MeJLhWNtilde[Phl`BYeBjYZQcOF[auml^QcY H hQccentj H QR[]O H MeJL[PhYmSeBMNUPJcentEgraveJLJUOaringKh[PK=[]YZJU^OslashcentmJLcenthZJUjFUPJaJ H NPf)^_aJLcenthZJUjUPJ J H NPfd^Ve sSs fjXiacute[PhZaringJU^QcbLNPfQCZaringN[]QcO[NPO^ centm 5ZaringNP^QRJUjJ H NPfd^shyaq _Z NP^QRJUj J H NPf)^VeshyfhShSh]jcopyXiacute[PhcentjQsfc^QcO[times^eJ H JUb H QR[]OO^not QcONPfcfVmSe~hZJ[]QR[]OWVcentNPYZJU^aringNPb H QVUPJbn[]O H []jehYNtildeNihZJNPfcY[OtildeKEgrave[WFJLhYXqjf H [[]fsYX[PhNtildebLfcNPY5VYZQbLN H QR[]Opounda13yJcurrencurrenUQJ H NPfd^VeshyfhShSh]j[Ph_ZOslash[ H Qc[]O^eJ H JUb H QR[]Oxaw_aNPOYZ[]jehQgNPO^wcOtilde[]OWVhNP^efhShSh]j^MeJZ N~5[PhOtildebn[]O H hQRcentj H Qc[]Oa[SXy[]jh5WF[PhY`aQsY H [KhZ[PKEgrave[]YJaeligNo[PJUOeJLhNPfQXiacutehNSZOslashJnVWF[PhY`X[PhaumlhJ[]QR[]OWVcentNPYJU^OacuteNPb H QVUPJ bn[]O H []jehY H N`BQcOF[QcO H [NPbLbn[]jO HIacuteH MeJaringbLNPYJ [SX

hZJ[]Qc[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhY^OgraveMeJ UPJUfR[WbLQ H mordmUPJUb H [PhF[SX H MJiexclNPb H QVUPJUacutebn[]O H []jh

uumlnyacute|thornLyuml13 o

i $amp)(+-)013021+345627893lt=gt9A6CBQcYUacutebn[]ZOslashK-j H JU^centm`QcO H hZ[W^jbLQcO[N ^mWONSZaringQcbLNPfampYZbdMeJZOslashJaring^QchZJUb H fVm`QsO H MJaringbnhQ H JnVhQc[]O H [frac34ZaringQcOQZaringQVcurrenLJaeligNPYTQcO aJLcenthJUjUPJ J H NPfd^Ve sSs f 5ZaringNP^QcJUjJ H NPfd^VefhShSh]j^iexcl[WFJUPJLheWFJ KhZ[PKEgrave[]YJ MJLhZJ N OJW Xiacute[PhlZtimesjfcN H QR[]O7[SX H MJ^JLhQVUiN H QR[]OjYZQcO[YZMNiK=JIacute[PK H QZaringQcurrenUN H QR[]O H [B[]fcY^ Q H M YjbM NZaringJ H Me[B^egtWFJtimesNihJaeligNicent-fRJ H [hZJUNP^QsfVmH N`PJQcO H [NPbLbn[]jO HaringH MeJ bLNPYJ [SXhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhY H MN H U~NihYm^jhQcO[ H MeJ KhZ[PKN[]N H QR[]O[SX H MeJ NPb H QUPJ bn[]O H []jeh^MeJUYJ ^eJUYZbnhQRK H [PhYTMNUPJH [centEgraveJtimesbn[]OYZQc^eJLhZJU^ YZQcObnJ H MJmaNihZJlaquoWQc^eJUfmjYJU^X[PhOtildejOYZjeKEgraveJLhYUWQcYJU^YJ[]ZaringJUOWVH N H QR[]O^ not [Ph(YZjbdM hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYbnhQRK H [PhYeOgraveWFJiexclYZMe[W H MN H NP^^Q H QR[]ONPfH JLhlZ Y0NiKKEgraveJUNihNtildeQsO H MeJJUP[]fcj H QR[]OaringJBjN H QR[]O [SX H MeJiexclbLjehlUPJ H MN H MNUPJUacuteOe[ H centEgraveJLJUOKhJUBQR[]jYZfVm bn[]ZOslashK-j H JU^O^

pE paraOacuteOgraveJJTIshyAgravesup1cedilqoacuteIshyacuteLcedilsup3UrltLcedilgtmicrobacuteNsMgtLtrraquoML iquest acuteAgravegtT2MKIOAacutelAcirclaquocedilFAtildeacuteNfrac12oRSJT13AringKacutepoundAEligMKIKJMgtPltLAtildeq jhyZaringNPQcOb[P[]NPfFfsQRJUYTQcO H MeJ JUfsNicent=[PhdN H QR[]O[SXNfrac34[PJUOeJLhNPfXhdNSZOslashJWNtilde[Phl`umlX[Ph H MeJYJ[]ZaringJUO H N H QR[]O7[SXNPO7QZaringN[PJQcO H WF[euml^Q=JLhJUO H hZJ[]QR[]OYtimesjYZQcOF[hZJ[]QR[]OWVcent-NPYJU^NPb H QVUPJIacutebn[]O H []jehdY^ JOtildeKhZ[PKEgrave[]YJ H [ZaringQcOQZ QVcurrenLJ H MeJiexcl[PJUOeJLhdNPfgbnhQ H JLhQc[]O a2jWiexclMeJLhZJUacuteJUNPbM hJ[]QR[]OQcYamp^eJUYbnhQRcentEgraveJU^TjYQcO[UacuteN_XqjOb H Qc[]OtimesbLNPfsfRJU^ n^eJUYZbnhQRK H [Ph[SX H MeJhZJ[]QR[]Op^i YampKhZJUWQuV[]jYfVmOtilde^eJ H NPQcfRJU^OeNiexcl^eJUYbnhQRK H [PhQcY9N XiacutejOb H QR[]O H MN H ZOslashJUNPYZjhZJUY H MJNtildeMe[]ZOslash[S[PJUOJUQ H m[SXyN hZJ[]QR[]OO^Egrave_[]Y H [SXyhJUfRJU~NPO H Y H N H QcY H QcbLNPf^eJUYZbnhQcK H [PhY^JLK=JUO^ H MeJZaringYZJUfVUPJUY[]O H MeJOslashhJ[]QR[]OO^ G []ZOslashJOslashJkeNSZOslashKfRJUYOtildeNihJordm[]QVUPJUOQcO G JUb^shy^ macr^ not [PhTJkWNSZOslashK-fRJSe H MeJhZJ[]Qc[]Oa^eJUYZbnhdQRK H [Phordfuuml thorn timesOslash yuml bLNPO centEgraveJTbM[]YJUOeumlNPY H MJyUiNihQcNPObnJvu centtimesOslash [SX H MeJThJ[]QR[]OOumlcopytimesOslashFeWMQcbdM[]QVUPJUYaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashj|aacute[u centtimesOslash aacutexw$ aOtilde SOtimesOslashjUcirccent atilde aumlw$ atilde aumlWMJLhZJSOtimesOslash QcY H MJyZOslashJUNPO [SX H MeJaumlhJ[]QR[]OwOumlcopytimesOslash^ G jbMaNaring^eJUYZbnhQcK H [PhQcY(ONSZaringJU^aNn5hZJ[]Qc[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhlpOslashYZQcObnJaumlQ H ^eJLKEgraveJUO^YF[]O H MeJaumlhJ[]QR[]OwOuml timesOslash ^q ObnJ H MeJTbnhdQ H JLhQR[]O QcYQcO H h[B^jbnJU^OeWNtildeJTKhZ[PKEgrave[]YJ H [ bn[]ZaringKj H J H MeJTJUP[]fcjWVH QR[]OUacuteJBjN H QR[]OT[SX H MJ0bn[]O H []jh H MN H WQsfcfZaringN`PJ0Q H JUP[]fVUPJ H [WNih^YNyacuteZaringQcOQCZIacutejFZ[SX H MeJTbnhdQ H JLhQR[]OjYZQcO[OslashNaringOeJWH0jfcJLhQcNPOZOslashJ H Me[W^O^ H XqjO^NSZOslashJUO H NPfcfVm ^QEgraveJLhYXiacutehZ[]Z2[ H MJLhFNiKKhZ[]NPbMeJUYFYZQcObnJyacuteWNtildeJ_`PJLJLK H MJ Xiacute[PhlZIacutejfcN H QR[]Oaring[SXhJ[]QR[]OY0QsOY H JUNP^[SXyhJU^jbLQcO[ H MeJWiexclMe[]fRJTKhZ[PcentfRJZ H [ centEgrave[]jO^NihYm QcO H J[PhNPfcY^gtO^JLJU^OeWFJlaquohY HQcO H hZ[W^jbnJFNiexcl^mWONSZaringQsbLNPfYZbdMeJZOslashJ(QcO H MeJ(bnhQ H JLhQc[]OIacuteNPO^ H MeJUOWFJbn[]ZaringKj H J H MeJNtildejfRJLhQcNPO`^eJLhQVUiN H QVUPJaelig[SX H MJOslashJUP[]fVUBQsO[ bnhQ H JLhQR[]O`centm`jYZQsO[ YMNiKEgraveJIacute[PK H QCZaringQVcurrenUN~VH QR[]O KhQsObLQRKfRJUY^]MQcYZOslashJ H Me[W^ KhZ[UWQc^eJUY H MeJUacuteNP^U~NPO H N[PJ H MN HH MeJ5U~NihdQcN H QR[]O[SXehZJ[]Qc[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYbnhQRK H [PhYltWQ H M H MeJFJUP[]fcj H QR[]OIacute[SX H MeJNPb H QVUPJ(bn[]O H []jhbLNPO centEgraveJOtildehZJUNP^QcfVm H N`PJUO`QcO H [ NPbLbn[]jO H ^MeJTbn[]ZOslashKj H N H QR[]Oa[SX H MJTJUP[]fcj H Qc[]OaJBjN H QR[]O`[SX H MeJIacuteNPb H QUPJtimesbn[]O H []jehOtildeQcYKEgraveJLhYXiacute[PhlZOslashJU^QcO H MehJLJyZaringNPQcO Y H JLK-Yaring

uumlnyacute|thornLyuml13 y

yenKbrvbarsect =4 acirc $ hf^ltO H hZ[W^jb H QR[]O[SX$NOslash^mWONSZaringQcbLNPfYbMeJZOslashJSaring JTYJUNihbdMX[Ph H MeJOtildeKNih H Q H Qc[]O[SX H MeJaumlQZ N[PJadOumlcopytimesOslashszliglOuml UgraveUcircUacuteUuml szligYYacutejWMQcbdMZaringQcOQuVZaringQVcurrenLJUY H MeJbnhQ H JLhQR[]Oocirc|adOumlcopytimesOslashgtszliglOuml UgraveUcircUacuteUuml szligYYacutej^eJUYZbnhQRcentEgraveJU^aeligQcOa2j^ MQcfRJNPYZYZjZaringQcO[

H MN H NPO`[PK H QZaringNPf9KNih H Q H Qc[]O JkWQsY H Ye H MJTQcYZYZjJTQcY H [ bn[]ZOslashKj H J H MQcYiexclY[]fcjWVH QR[]OO^ G QsObnJ H MeJ YJ H [SX(NPfcfy^e[]ZaringNPQsOYaumlMNPYIacuteOe[ H NaY H hjb H jehZJOslash[SXcopyUPJUb H [PhQsNPfYKNPbnJSeQ H QcYauml^Qz bLjf HUacuteH [abn[]ZOslashKj H J H MeJ ^eJLhdQVU~N H QUPJOslash[SX H MJ bnhQ H JLhQc[]ONPb|Vbn[Ph^QcO[ H [ H MJ^e[]ZaringNPQsOY^_[ bLQchbLjFZUPJUO H H MQcY`KhZ[PcentfcJZeyacuteWFJNiKKfmN H hNPOYYX[PhlZ N H QR[]O| H [ JUNPbM^e[]ZaringNPQsOOeYZjbdM H MN H Q H centEgraveJUbn[]ZOslashJUY`bn[]OWVH QcOj[]jYZfVm^eJLKEgraveJUO^eJUO H []O NPO JUP[]fsj H QR[]O KNihNSZOslashJ H JLhagrave^MeJ`bnhQ H JLhQR[]Ocent=JUbn[]ZaringJUYT^eJLKEgraveJUO^eJUO H []Obagravearingocirc|aagravejgaacute ocirc|adOumlcopytimesOslashaagravejszliglOuml UgraveUcircUacuteUuml aagravejszligYYacuteaagravejj^QO H MQcY^mBONSZaringQcbLNPfTYbMeJZOslashJSeiexclWFJ bLNPO hJUNP^QcfVm H N`PJQcO H [ NPbLbn[]jO H N K=[]YYZQRcentfRJU~NihQsN H QR[]O[SX H MeJ ^eJUYZbnhdQRK H [PhYWQ H M H MeJJUP[]fVUWQcO[ hZJ[]QR[]OYk|adOuml times j aacuteOumlcopytimesaagravej^

^QiexclJLhdQVU~N H Qc[]O [SX H MeJaumlbnhQ H JLhQc[]O jYZQcO[OslashYZMNiK=JOtilde[PK H QZaringQVcurrenUN H QR[]O H MJL[PhZJZaringYaringMeJNtildebnhdQ H JLhQR[]OocircOcircaagravej9QcY H MeJUOIacute^JLhQVUPJU^TNPbLbn[Phd^QcO[ H [5agrave H MNPO`WY H [ H MeJFbn[]ZaeligVKj H N H QR[]Oeuml[SX H MeJ0jfRJLhQcNPOeuml^eJLhQU~N H QVUPJaelig[SX_ocircjYZQcO[YZMNiKEgraveJaelig[PK H QZ QVcurrenUN H QR[]OKhQcObLQcKfRJUYeOWMQcbMQcYIacuteOJWQsO H MeJNihZJUN [SXNPb H QVUPJ bn[]O H []jehY^$ YXqNihOslashNPYH MeJF^JLhQVUiN H QR[]OTQcYbn[]ObnJLhOeJU^e H MeJU~NihdQcN H QR[]OIacute[SX H MeJF^JUYZbnhQRK H [PhdYWQ H M H MeJJUP[]fVUBQsO[OslashhZJ[]QR[]OY_Oumlcopytimesaagravej(NPO^Y[ordmWQ H MagravetZIacutejY H centEgraveJ H N`PJUOaQcO H [aringNPbLbn[]jO H ^

^vF[]ZOslashKj H N H Qc[]O [SX H MJaumlJUP[]fcj H QR[]OJjN H Qc[]OXh[]Z H MeJauml^eJLhQU~N H QVUPJSaringnot hZ[]Z H MeJNtilde^JLhQVUiN H QVUPJSeWFJNtilde^eJU^jbnJ H MeJUPJUfR[WbLQ H mordfUPJUb H [Ph$[SX H MeJFNPb H QVUPJbn[]OWVH []jeh H MN H WiexclQcfcfZaringN`PJQ H JUP[]fUPJiexclNPYXqNPY H NPY$KEgrave[]YZYQRcentfRJ H [WNih^YNtildeNgZaringQcOQCZIacutejFZ[SX H MeJOtildebnhQ H JLhdQR[]OO^ObLNPYJUacute[SX9hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhYe H MeJUacuteJUP[]fcjWVH QR[]OeumlJjN H QR[]Oeuml[SX H MJaringNPb H QVUPJaringbn[]O H []jhTQcYOtilde^QEgraveJLhZJUO H XhZ[]Z H MJtimes[]OJaringbn[]ZaeligVKj H JU^ Xiacute[Ph hZJ[]QR[]OWV4QcO^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhY^ G []ZOslashJ`NP^^Q H QR[]ONPf H JLhZaringYNiKKEgraveJUNihiexclNPO^`Y[ Q H QcY[SX$KhdQZOslashJaumlOeJUbnJUYZYQ H m H [bn[]OYZQc^JLh H MeJ H WNtilde[o`WQcO^Y([SX^eJUYZbnhQRK H [PhY(YJLKNihN H JUfmS^

9J H jYFOe[ H J H MN HFH MQcY[PJUOeJLhNPfKXiacutehNSZOslashJWF[PhY` bLNPO centEgraveJNiKK-fcQRJU^ H [ordmZaringNPOm ^QEgraveJLhVJUO H NiKKfsQcbLN H QR[]OYcentm[]OfVmbMNPO[]QsO[ H MeJT^eJUYbnhQRK H [PhY^ H MNPYcentEgraveJLJUOOe[ H NicentfmNiKK-fcQRJU^ H [ordmZOslash[UBQsO[aelig[Pcent~5JUb H Y(^J H JUb H QR[]O QcOoUBQs^eJL[timesYZJjeJUObnJUY(NPbjQchZJU^ JUQ H MeJLhWQ H MN Y H N H QcbawS]JUMNPOWV4XFJUYZY[]O J H NPfd^Ve sSs fLbjiexcl[PhUacuteNregZOslash[Pcent-QcfRJTbLNSZOslashJLhdNawS]JUMNPOWVXFJUYZY[]O J H NPf)^Ve sSs fncentj^ JUYZbnhQRK H [PhdYoZ Nm NPfcY[centEgraveJ YJBjeJUO H QcNPfcfVm jYJU^ H [QZaringKhZ[UPJ H MeJu-ONPfBhZJUYZjf H NPYyQ H MNPYampcentEgraveJLJUOaeligKh[PK=[]YZJU^timesQsOtawSPJUMNPOWV4XFJUYZYZ[]OOslashJ H NPfd^VesSs fLNOgravej^^f^~OacuteETHEgraveKEacute18=KETH32EacuteltOacuterEacute0frac34Ntilde83ltOacuteONtildeshyIacute=gtNtildeshyEumltIcirc=39IgraveFIacute5Igrave O QZaringN[PJumlOtildegta2atildeltszligaumlj QcYNxXqjOb H QR[]O ^eJOJU^ Xiacute[Phpounda2atildeshyszligaumlFj OumlOcirccenteuWMeJLhZJOumloslashQcY H MeJ QZaringN[PJ ^e[]ZaringNPQcOO^ltMeJ QCZaringN[PJ ^e[]Z NPQcOQcYIacutebn[]OYZQc^eJLhJU^ H [ cent=JZaringNP^eJjeK`[SX H WF[KNih H Ylaquoa not Q[^fjaring H MJyXiacute[PhZJ[PhZ[]jO^`KNih H bn[]O H NPQsOQcO[ H MeJT[Pcent~JUb H Y H [

uumlnyacute|thornLyuml13

f s $amp)(+-)013021+345627893lt=gt9A6CBYJ[]ZaringJUO H e=Oe[ H JU^frac34OumlcopytimesOslashFe-NPO^ H MeJaumlcent-NPbY`[PhZ[]jO^aKNih H Oe[ H JU^Ouml UgraveUcircUacuteUuml ^MeJauml^QcYZbn[]OWVH QcOBjQ H m`YJ H QcYOtildeNbLjehlUPJ Oe[ H JU^bYacute H MN H ^JOeJUY H MeJ cent=[]jO^NihYmcentEgraveJ H WNtildeJLJUO H MeJH WNtilde[ ^[]ZaringNPQcOY^ J H MJUOaYJUNihbdMtXiacute[Ph H MeJ H WNtilde[^e[]ZaringNPQsOYyacuteOuml UgraveUcircUacuteUuml NPO^wOumlutimes OslashWMQcbdMtZaringQcOQZaringQVcurrenLJ H MeJbnhQ H JLhQR[]Oocircuml[]QVUPJUOcentmumla2jehZJZaringQcO^eJU^ MeJLhZJSaring

ocirc|adOuml UgraveUcircUacuteUuml szliglOumlcopytimesOslashgtszligYYacuteQjumlaacute uuml thorn UgraveUcircUacuteUuml yuml a2atildeltszligaumlgtszliglOuml UgraveUacuteUuml j atilde auml $ uuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOuml timesOslash j atilde aumlamp uacuteucirc thorn yuml uuml thorn otilde)yuml a2atildeshyszligaumlFj THORN5OaumlbnhQ H JLhdQR[]Oa2je H MeJ|hY HH WNtilde[ H JLhlZaringY9NihJyhZJ[]QR[]OWVcent-NPYJU^ordfWMQsfRJ H MeJ H MQRhd^ H JLhlZQcYcentEgrave[]jO^NihYmVcentNPYJU^O^MeJiexclXqjOb H QR[]OYyacuteuuml thorn UgraveUcircUacuteUuml yuml egtuuml thorn timesOslash yuml NPO^tuuml thorn otilde)yuml NihZJaumlhZJUYKEgraveJUb H QVUPJUfmH MeJ^eJUYZbnhdQRK H [PhY[SX H MeJFcentNPbl`[PhZ[]jO^timesKNih H ei[SX H MeJ[Pcent~JUb H Y H [OtildeYJ[]ZOslashJUO H NPO^Iacute[SXH MeJaumlbn[]O H []jeh^KMeJauml^eJUYbnhQRK H [PhYuZ Nm centEgraveJordf[]fR[PcentNPfcfm N HH NPbMJU^ H [ H MeJOtildeJUP[]fVUWQcO[hZJ[]Qc[]OY(NPO^Y[ ^eJLKEgraveJUO^ []Ofrac34Ouml timesOslash [Ph5OumluUgraveUcircUacuteUuml^

G QcObnJ H MeJaringYJ H [SXNtildeNPfsf$^e[]ZaringNPQcOYUacuteMNPYOtildeO[ H N Y H hjb H jehJtimes[SXUPJUb H [PhQcNPfyYZKNPbnJSeWFJIacutebLNPOeumlOe[ H bn[]ZOslashKj H J H MeJaelig^eJLhQVUiN H QVUPJT[SX H MJIacuteKhJUBQR[]jYbnhQ H JLhdQR[]OaNPbLbn[Ph^QcO[H [euml^e[]ZaringNPQcOY^ltMJLhZJX[PhJSe H [bn[]ZOslashKj H JNPO[PK H QZaringNPfFY[]fcj H Qc[]OOe9Neuml^mWONSZaringQcbLNPfYZbdMeJZOslashJOtildeQcYQcO H hZ[W^jbnJU^WMeJLhZJJUNPbM^[]ZaringNPQcO cent=JUbn[]ZaringJUY(bn[]O H QcOBje[]jYfVm ^eJLKEgraveJUOWV^eJUO H []ONPO JUP[]fcj H QR[]O KNihdNSZOslashJ H JLhagrave^59[ X[PhZaringNPfcQVcurrenLJ H MQcYQc^eJUNe WNtildeJxZaringNmYZjKKEgrave[]YJ H MN HTH MJ JUP[]fcj H Qc[]OKhZ[WbnJUYZYtimesQcY H [ H NPfsfVm^eJ H JLhlZaringQcOJU^centm H MJ JkeQcY5VH JUObnJiexcl[SXgNyXqNSZaringQcfmIacute[SXgNiKK-fcQcbLN H QR[]OY| H MN HNtildeH hNPOYXiacute[PhlZaringY H MeJiexclQsOQ H QcNPfe^e[]Z NPQcOYOumlcopytimesOslashgta s jNPO^tOuml UgraveUcircUacuteUuml a s jQsO H [ H MeJIacutebLjehZhZJUO H ^e[]ZaringNPQcOYyacuteOumlcopytimesOslashKaagravejNPO^frac34Ouml UgraveUcircUacuteUuml aagravejaring

OumlutimesUcirca s j ntilde OumlcopytimesaagravejYacutea s j ntilde Yacuteaagravej WiexclMeJLhZJVQaacuteiV[Ph Kf5 iumlMBjY H MeJOtildehJ[]QR[]OY(JUP[]fVUPJ H [WNih^YiexclNPO [PK H QZaringNPf9Y[]fcj H QR[]O^MeJ H hQRKfcJ H Ouml UgraveUcircUacuteUuml aagravejszliglOumlcopytimesOslashOaagravejszligYYacuteaagravejordmZIacutejY H NPb H NPYNregZaringQcOQZ QVcurrenUQcO[TYZJjeJUObnJgX[Phocirc|adOuml UgraveUcircUacuteUuml szliglOumlcopytimesOslashszligYYacutejWiexclMeJUOagrave JUP[]fVUPJUY^MeJ5XqjOb H QR[]ONPfOocircOcircadOuml UgraveUacuteUuml aagravejszliglOumlcopytimesOslashaagravejszligYYacuteaagravejjMNPY H [ bn[]OOgraveUPJLhY[PJ H [WNih^Y H MeJpoundZaringQcOQCZIacutejFZ UiNPfcjeJeuml[SXregocirc2NPYfrac34agraveacircntilde ograveegrave^ MeJbnhQ H JLhQR[]O H MeJUO centEgraveJUbn[]ZOslashJUYaring

ocirc|adOuml UgraveUcircUacuteUuml aagravejszliglOumlcopytimesOslashaagravejszligYYacuteaagravejjaacute thorn yuml uuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszliglOuml UgraveUcircUacuteUuml aagravejj atilde auml 5$ thorn yuml uuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashKaagravejj atilde aumlj uacuteucirc thorn yuml uuml thorn otilde)yuml a2atildeshyszligaumlFj THORN adh]jMJoXqjOb H Qc[]ONPf_ocircOcircadOumlyacuteUgraveUacuteUumllaagravejszliglOuml timesOslash aagravejszligYYacuteaagravejjaeligQcY H MeJLhZJUNX H JLh O[ H JU^egraveocirc|aagraveje0NPO^H MeJ ^eJUYZbnhQcK H [PhYuuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashKaagravejj NPO^icircuuml thorn UgraveUcircUacuteUuml yuml a2atildeltszligaumlgtszliglOuml UgraveUcircUacuteUuml aagravejjaringNihZJ`hZJUYKEgraveJUb|VH QVUPJUfmUacuteO[ H JU^laquouuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejgNPO^laquouuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszligYagravejeWMQcbdMTfRJUNP^Y H [ H MeJXiacute[]fcfR[WQcO[

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ fSfJkWKhZJUYZYQR[]OOaring

ocirc|aagravejumlaacute thorn yuml uuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszligYagravej atilde auml $ thorn yuml uumlgtthorn timesOslash yuml a2atildeltszligaumlgtszligYagravej atilde aumlj uacuteucirc thorn yuml uumlgtthorn otilde)yuml a2atildeshyszligaumlFj THORN af s j5OOtildebn[]O H hdNPY H WQ H MUacute[ H MeJLh9NPb H QVUPJFbn[]O H []jehdY9NiKKh[]NPbMeJUYe H MeJy^mWONSZaringQcbLNPfPYZbdMeJZOslashJQcYtimesMeJLhZJ^QRhJUb H fVmQcO H h[B^jbnJU^QcO H MeJbnhQ H JLhQc[]OO^ Q H MYZjbdMNeumlYZbdMeJZOslashJSe H MeJQcO H hZ[W^jb H QR[]OOacute[SXiexclNPO NPb H QVUPJbn[]O H []jehOslashJUP[]fVUWQcO[ WQ H Msup1agraveQcYaeligY H hNPQ[]M H Xiacute[PhYWNih^O^iexclJUObnJ WNtildeJbn[]OYZQc^eJLh H MN H Yacuteaagravej QsYoZaring[B^eJUfsfRJU^ NPY NPO NPb H QUPJOacutebn[]O H []jh H MN Hbn[]OUPJLhY[PJUY H [WNih^Y H MJgONPfEgraveJkWKEgraveJUb H JU^YJ[]ZOslashJUO H N H QR[]OO^9J H Yacutea s jtimescentEgraveJ H MeJQcOQ H QcNPfNtildebLjhYUPJa^eJOJU^centm H MeJjYJLh^ JahZJUbLNPfcf H MN H WFJYJUNihdbMtXiacute[Ph YacuteaagravejNPYNaringbLjehlUPJaumlJUP[]fVUWQcO[aringNPbLbn[Ph^QsO[ H [ H MeJgXiacute[]fcfR[WQcO[ordm5 aringaelig YacuteadTHORNOgraveszligYagravejaelig agrave aacuteegraveeuml WiexclQ H MigraveYacutea s j|aacuteegraveYacuteshyiacute afSfjWMJLhZJ_euml`QcY H MJ_UPJUfR[WbLQ H mUPJUb H [Ph([SX H MeJUacuteNPb H QVUPJOtildebn[]O H []jh^MeJ_Z NPQcO KhZ[PcentfRJZfcQcJUYFQsO-O^QcO[ H MeJiexclUPJUfR[WbLQ H meumlXhZ[]Z H MJUacutebnhdQ H JLhQR[]Opoundaf s jFQcO [Ph^JLh H [ordm[PJ HH MeJXqNPY H JUY H bLjhYUPJaumlJUP[]fcj H Qc[]O H [WNih^Y H MeJordfONPfYJ[]ZaringJUO H N H QR[]O^^ ^iexclEacuteltIacuteETHNtildeFETHEacuteshyOacute Eacute10wETH9Igrave8ltIgraveFEgravegt+NtildeFETH3gt+ltIgraveumlEacute10frac34ETH9Igrave=KEgrave13ETHIgraveFEgraveEacuteshyOacute5Oeuml[Ph^eJLh H [ [Pcent H NPQsO H MeJOslashJUP[]fcj H QR[]OeumlJBjN H QR[]Oe H MeJaringbnhQ H JLhQc[]OxocircOcircaagravej5ZtimesjY H centEgraveJ^QV=JLhZJUO H QcN H JU^WQ H MhZJUYKEgraveJUb H(H [agrave^MeJOtildeQcO H J[PhNPfcentEgrave[]jO^Y^eJLKEgraveJUO^ []Otagrave NPO^H MeJauml^JUYZbnhQRK H [PhdYyacuteuuml thorn UgraveUcircUacuteUuml yuml a)jNPO^wuuml thorn times Oslash yuml a)juZaringNm NPfcY[aring^JLK=JUO^[]Otagrave^9J H jY^eJOJ H MeJordfXiacutejOb H QR[]ONPfuumlOa2atildeltszligaumlgtszligYagravejYZjbM H MN H aring

uumlOa2atildeltszligaumlgtszligYagravej|aacute uuml thorn UgraveUacuteUuml yuml a2atildeltszligaumlgtszligYagravej QVXcopya2atildeltszligaumljwOuml UgraveUcircUacuteUuml aagravejuuml thorn times Oslash yuml a2atildeltszligaumlgtszligYagravej QVXcopya2atildeshyszligaumlFjtOumlcopytimesOslashKaagravej af jMJbXqjOb H QR[]ONPfuuml thorn UgraveUcircUacuteUuml yuml a)jNPO^Huuml thorn times Oslash yuml a)j`NihZJ^eJOJU^ []O H MeJxWMe[]fRJ7QZaringN[PJ^e[]Z NPQcOtOumliexcl^FMeJUOe H MeJaumlbnhQ H JLhQc[]OocircOcircaagravejuWhQ H JUY(NPYaring

ocirc|aagravejOcircaacute uacute uumlOa2atildeshyszligaumlKszligYagravej atilde aumlj uacuteucirc thorn yuml uumlgtthorn otilde)yuml a2atildeshyszligaumlFj THORNordfaacuteocirc aagravej ocirc cent aagravej af]jWMJLhZJgOuml QcY H MeJaumlQCZaringN[PJT^e[]ZaringNPQsOOeeNPO^Oaring

ocirc aagravej|aacute uacute uumlOa2atildeshyszligaumlKszligYagravej atilde aumlocirc cent aagravejOcircaacute uacuteucirc thorn yuml uuml thorn otilde)yuml a2atildeshyszligaumlFj THORN

uumlnyacutenthornnyumll13YSordmY_F

f $amp)(+-)013021+345627893lt=gt9A6CB5OOtilde[Ph^eJLh H [bn[]ZaringKj H J H MJ0^eJLhQVUiN H QVUPJy[SX H MJNtildebnhQ H JLhdQR[]Olaquoocirc aagraveje H MJNtilde^QcYbn[]O H QcOBjWVQ H QcJUY|ZtimesjY H JkWKfcQcbLQ H fVmIacutecentEgraveJ H N`PJUOQcO H [IacuteNPbLbn[]jO H ^ not [Ph(YZjbdM NIacuteKjehZKEgrave[]YJSeSWFJ5hY HhZJUbLNPfsf-N[PJUOeJLhNPf H MeJL[PhJZbn[]ObnJLhOQcO[ H MeJUacute^eJLhQVUiN H QVUPJ[SX9N H QZOslashJnV4^eJLKEgraveJUO^JUO HbnhQ H JLhQR[]OO^9J H jY(^eJ-OeJyOumlcopytimesaagravejNPYNOslashhZJ[]Qc[]OQcObLfcj^eJU^QcO H [regOumlordf^yacute5 q Ntilde_ f^1ltuumlStimesBiexcl centpoundcurrenyencurrenbrvbarsectumlordfcopynotlaquo3shyyenLregmacrcurrenRlaquodegcurrenbrvbarlaquo Oumlplusmna s szligsup2|iexcljsup3acute Rlaquomicromiddotparagtltocirc|aagravejOcircaacute w thorn yuml uumlStimesYa2atildeltszligaumlgtszligYagravej atilde auml~sup3cedilsectsup1ltlaquoordm ocirc agrave aacuteocirc7raquodaagravejOcircaacute thorn yuml aelig uumlStimesaelig agrave atilde auml uacutefrac14 thorn yuml uumlStimesYafrac34frac12 eacuteAgraveiquestsup1AacuteAtildeAcircYj THORNAuml sectsup1ltAringPfrac12AEligreg(centsectsup1Ccedilbrvbar_paracurrenyenshyltregLLEgraveacutecurrensup2uml aelig Oumlcopytimesaagravej RlaquomicroeacuteAgraveiquestsup1AacuteAtildeAcircEacuteregEcirccentsectsup1copysup1laquoregEumlreg(laquo Auml brvbarAringsup2microacutelaquocurrenRAringordfpound RparaIgravecurren aelig Oumlcopytimesaagravej_IacuteMJ^JLhQVUiN H QVUPJ[SXshyocircWQ H MaelighZJUYZK=JUb HampH [yagraveaeligQcY H MJyacute0jfRJLhdQcNPOIacute^JLhQVUiN H QVUPJ([SXocirc|adOumlcopytimesAjQcO H MeJOtilde^QRhJUb H QR[]O [SXEumlfrac12umleWMQcbdM bn[]ZaringKj H N H QR[]O QcY[]QVUPJUO QsO iexclKKEgraveJUO^Qkaring ^FMeJUiNihQcN H QR[]Oeuml[SX5ocirc QcYOtilde^jeJ H [ H MeJUiNihQcN H Qc[]O[SX H MeJordmXiacutejOb H QR[]ONPfOcircuuml]timesa2atildeltszligaumlgtszligYagravejaumlNPO^H [ H MeJgZOslash[ H Qc[]O[SX H MeJOtildeQcO H J[PhNPf^e[]ZaringNPQsOOumlutimesaagravej^ Y(Naeligbn[PhZ[]fcfcNihYm [SXltMJL[PhZJZfeFWFJordf[PJ H aringv q q shy9 5lt f^yenIcirccopyNcentampcentcopyIuml-Iumlsup1currenfcentyenYsectnot -sectsup1Ymicro-currenRpound Rreglaquofrac34Oumlgaagravejampreg(centpound -microETHcopyIumliexclcurrensup2uml Auml currenCIuml RAringordfcentsup3yOuml timesOslash aagravejNtilde RlaquomicropoundOumlyacuteUgraveUacuteUumllaagravejOgravecentyenfrac34Iumlsup1 brvbarAringsup2 brvbarmicro_Egraveh iexclpoundYcurrenbrvbarCcedildreglaquoNOacutehreglaquo5_Aringumllt -shytYacuteaagravejAuml sectETHregmacrshy_sectOcircCcedilRltparaOtildecurrendshyltregLLEgraveregEcirccentyacuteeumlEumlIacuteOumlsectsup1Uumlordfcopynotlaquo3shyyenLregmacrcurrenRlaquouumlOa2atildeltszligaumlgtszligYagravejreg(centcentordfcopyIuml-Iumlsup1currenfcentyenmicroOcircIgravecurrenOcirccentltfrac34Iuml RAringsup2 -_paraEgraveshycurrenRlaquo5LreglaquocopycurrenRcopynotcentcedilreglaquoyOumlcopytimesOslashKaagravejW Rlaquomicro Ouml UgraveUcircUacuteUuml aagravej_copy3pound REgraveampJmicrobrvbarregEcirccentltshycurrenRlaquo5LreglaquocopycurrenRcopynotcentJ -shyltAringPcurrenfcentcentYacuteaagravej_Iacutetimes Agravelaquocurrenbrvbaruuml thorn times Oslash yuml Rlaquomicroruuml thorn UgraveUcircUacuteUuml yuml sup3sectsup1Ccedilf brvbarparacopy5iexclcurrensup2umlwuumlreglaquoOslashAringordfcentIumlshydLreg(Ccedilbrvbar_paraEgraverOumlutimes OslashaagravejAgrave Rlaquo3microOuml UgraveUcircUacuteUuml aagravej_IacuteUgraveOumlsectNcopyNcentampsectmicroETH_Aringordfreg(CcedilR brvbarLregCcedilRcurrensup2umlordfocirc|aagravej Auml AringregLordfcent fcent_ordm

ocirc7raquo)aagravejOcircaacuteUacute thorn yuml aelig uumlaelig agrave atilde auml uacutefrac14 thorn yuml uumlOaLUcirc eacute iquestsup1Aacute j THORN uacuteucirc thorn yuml uumlNaeuml eacuteHj THORNAuml sectsup1ltAringPacute uumlNAringfrac34Iuml3AringP_centlt_laquocentYsectUumlordfcopysup1poundUgraveIumlcurrensup2umlguumlh -shyltAringPcurrenfcentcentordfYacuteaagravej_ordmW uumlNaacuteacircuuml thorn UgraveUacuteUuml yuml uuml thorn times Oslash yuml sup3eacute sectsup1ncopynotlaquo5reglaquo3currenRAringpound RparaIcirccurrensup2umlordfYacuteaagravejmicrobrvbarreg(AringshydmicroampumlAringPcurrenRpound Ouml UgraveUacuteUuml aagravejIgravecurrenOumlutimes OslashKaagravejsup3eacuteAgraveiquestsup1Aacutesectcopysup1laquoregLEumlreglaquo Auml RAringPmicroOcirclaquocurrenRAringordfpound Rpara1Igravecurren aelig Oumlgaagravejj RlaquomicroUcircYacutesectsup1jCcedilbrvbar_paracurrenyenshyltregLLEgravenCcedilbrvbarshydIgravecurrenRAringjcurrensup2uml_Oumlyaagravej_Iacute

plusmngLMOMraquo aring JbLNPO NiKKfVm MJL[PhZJZ f H [ H MeJ ^[]ZaringNPQcO Oumlutimes OslashaagravejaringNPO^ H [ H MeJ^e[]Z NPQcOtOuml UgraveUcircUacuteUuml aagravej^ ^^QcO[ H MeJ H WF[aringJjN H QR[]OYeFWFJOtilde[Pcent H NPQcO H MeJTbn[PhZ[]fcfsNihYmS^ H QcYIacuteOe[WY H hNPQ[]M H Xiacute[PhYWNih^ H [[PJ HtimesH MeJ ^eJLhdQVU~N H QUPJ [SX H MeJ bnhQ H JLhQR[]O ocirc aagravejaringWFJ H N`PJ5OumlyaagravejOcircaacuteAumlOuml H MeJiexclQZaringN[PJ^e[]Z NPQcOta not QV[^ j^MJUOOePcentmaeligJkWKfcQcbLQ H fVm H N`WQcO[

uumlnyacutenthornnyumll13YSordmY_FY

yenKbrvbarsect =4 acirc $ fH MeJtimes^QcYZbn[]O H QcOBjQ H QRJUY(QsO H [ NPbLbn[]jO HUacuteH MNPOF`BY H [ H MeJtimesbn[PhZ[]fcfcNihlmSe H MeJtimes^eJLhQVUiN H QVUPJ[SXocirc aagravejQcYcopy[]QVUPJUOacentmKaring

ocirc raquo aagravejumlaacute uacuteucirc thorn yuml uumlNaeuml eacutej THORN uacutefrac14 uumlOaLUcirc eacuteAgraveiquestsup1Aacutej THORN $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde auml thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afj

q centUWQR[]jYZfVmSe H MeJ7YJUbn[]O^ H JLhlZ [SX H MeJ7^eJLhQVUiN H QVUPJ afjaQcYcurrenLJLh[ YZQcObnJ H MeJJk H JLhONPf(centEgrave[]jO^NihYm aelig OumlD[SX H MeJ`QZaringN[PJaQcYkBJU^^OcircJLKfcNPbLQsO[` uumlN_WQ H MQ H YJkWKhZJUYZYQR[]OOeWNtildeJyO^Oaring

ocirc7raquo aagravejumlaacute uacuteucirc thorn yuml aduuml thorn UgraveUcircUacuteUuml yuml1 uuml thorn timesOslash yuml jaeuml eacuteHj THORN $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde auml thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afmacr]jMJUacute^JLhQVUiN H QVUPJOtilde[SXocirc cent aagravejQcY(bLfcNPYZYQcbLNPfdaring

ocirc7raquocent aagravejOcircaacute uacuteucirc thorn yuml a uuml thorn otilde)yumld huuml thorn otilde)yuml7 eacutejaeuml eacutej THORN af]jWMJLhZJ a2atildeshyszligaumlKszligYagravejQcY H MeJaumlbLjehlU~N H jehJ[SXQYacutea2atildeltszligaumlgtszligYagravej^MeJLhZJXiacute[PhZJSe H MeJOtilde^eJLhQVUiN H QVUPJ[SX H MeJgWM[]fRJOtildebnhQ H JLhQR[]O QsY H MeJordfXiacute[]fcfR[WiexclQcO[aring

ocirc raquo aagravejpoundaacute $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde aumlamp thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afzSj uacuteucirc thorn yuml aduuml thorn UgraveUcircUacuteUuml yuml uuml thorn timesOslash yuml uuml thorn otilde)yuml huuml thorn otilde)yuml eacutejaeuml eacutej THORN

^ ^~THORNUgrave2FEgraveOIgraveIcircIcirclt2EacuteltOacute Eacute0frac34ETH9Igrave8shyIgraveFEgraveEcirc+NtildeFETH3Ecirc+ltIgraveNtilde7==EacuteltEgrave7813Oacute14 ETHOEacute ETH9IgraveOacuteszligltOacuteshyEacuteOacuteAgrave+QIgraveFEumlEacuteAtilde=13ETH+ltIgrave5=KETHOEacuteshyEgravesup1euml5Oaelig[Ph^eJLh H [Tbn[]ZaringKj H J H MeJuUPJUfR[WbLQ H mUPJUb H [PhcopyeumleSWNtildeJMNUPJ H [yZ N`PJQ H NiKKEgraveJUNihyQcOH MeJhY HH WF[ ^e[]Z NPQcOaQcO H J[PhNPfcYiexcl[SX afzSjcentmJkWKhZJUYZYQcO[ H MeJZ NPY_XiacutejOb H QR[]OY[SX H MeJgUPJUfR[WbLQ H meumlQ^iexclJLhZJiexclWFJ H N`PJ H MeJ5[PJUOeJLhNPfbLNPYZJ5WiexclMeJLhZJ H MeJ^JUYZbnhQRK H [PhdYZaringNm ^eJLKEgraveJUO^ []OXiacuteJUN H jehZJUY5[]fR[PcentNPfsfVmN HH NPbMeJU^ H [ H MJtimeshJ[]QR[]OeumlNPO^eumlY[oZ Nm`^JLK=JUO^a[]O agrave^ JZOslash[W^eJUf$JUNPbdM^eJUYZbnhQRK H [PhIacuteNPYtimesNabn[]ZIacutecentQcON H QR[]OOacute[SXuXJUN H jhZJUYy[]fc[PcentNPfcfVmeumlN HH NPbMeJU^

uumlnyacutenthornnyumll13YSordmY_F

f $amp)(+-)013021+345627893lt=gt9A6CBH [ H MJOtildeJUP[]fVUBQsO[OslashhZJ[]QR[]OY_OumlcopytimesOslashKaagravejF[Ph_Ouml UgraveUacuteUuml aagravejaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejpoundaacuteAElig thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn timesOslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejszligiumlViumlViumlVszligagrave thorn timesOslash yumlaacute aagravejjuuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszligYagravejpoundaacuteAElig thorn UgraveUcircUacuteUuml yuml a2atildeltszligaumlgtszligagrave thorn UgraveUcircUacuteUuml yuml aagravejszligagrave thorn UgraveUcircUacuteUuml yumlcent aagravejszligiumlViumlViumlVszligagrave thorn UgraveUcircUacuteUuml yumlacirc aagravejjafi]j

WMJLhZJSaring agrave thorn(atilde yumlauml aacute 7aring thorn yuml5aelig thorn(atilde yumlauml a2atildeltszligaumlgtszligYagravej atilde auml WQ H Mpounda jOcircaacuteacircaVltjF[Pha Kf5 jiuml afh]j9J H jYuhY H bn[]ZOslashKj H J H MeJIacute^eJLhQVUiN H QVUPJOtilde[SXuuml thorn timesOslash yuml eFWFJgO^Oaring

aelig uuml thorn times Oslash yumlaelig agrave aacute aacuteccedilaumlegrave aelig thorn timesOslash yumlaelig agrave thorn times Oslash yumlauml a2atildeltszligaumlgtszligagrave thorn timesOslash yuml aagravejszligiumlViumlViumlVszligagrave thorn timesOslash yumlaacute aagravejj aelig agrave thorn timesOslash yumlaumlaelig agrave aagravej a s j J MNUPJOe[W H [bn[]ZOslashKj H J H MeJ ^eJLhdQVU~N H QUPJ [SXagrave thorn timesOslash yumlauml NPbLbn[Ph^QcO[ H [umlagrave^ JNiKK-fVm H MeJgMeJL[PhZJZigravefaumlNPO^WNtildeJy[PJ H aring

aelig agrave thorn timesOslash yumlaumlaelig agrave aacute $ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde auml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacutej THORN a fj

JLKfcNPbLQcO[ H MeJNtilde^eJLhdQVU~N H QUPJUY9[SX3agrave thorn timesOslash yumlauml WQ H M H MeJUQRhJkWKhZJUYZYZQc[]OYa fj9QcOa s jeSWFJ[Pcent H NPQsO H MJXiacute[]fcfR[WQcO[iexclJkBKhJUYZYZQR[]OX[Ph H MJF^e[]Z NPQcOaeligQcO H J[PhdNPf[SX H MeJ^eJLhQVUiN H QVUPJ[SX H MeJT^eJUYbnhQRK H [Ph uuml thorn times Oslash yuml aring

$ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde aumlacircaacute aacuteccedilaumlordfegrave -eacute thorn timesOslash yumlauml $ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde auml

aacuteccedilaumlordfegrave eacute thorn timesOslash yumlauml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacuteHj THORN a S jWMJLhZJSaring

eacute thorn timesOslash yumlauml aacute $ thorn yuml aelig thorn timesOslash yumlaelig agrave thorn timesOslash yumlauml a2atildeltszligaumlgtszligagrave thorn timesOslash yuml aagravejszligiumlViumlViumlVszligagrave thorn times Oslash yumlaacute aagravejj atilde auml a ]jMJIacuteJkWKhZJUYZYQR[]OwXiacute[Pha jyacuteaacute a Kf jiexclQcYbn[]ZOslashKj H JU^QsO H MeJaeligYZNSZOslashJordmZaringNPOOeJLhiexclWMQcfRJKNmBQsO[N HH JUO H Qc[]O H [ H MeJ`^QRhZJUb H QR[]O[SX H MeJ`Oe[PhlZaringNPfcopyUPJUb H [PheNPO^rWFJ H MBjY

uumlnyacutenthornnyumll13YSordmY_Fsup2

yenKbrvbarsect =4 acirc $ fmacr[Pcent H NPQsO H MeJg[PJUOeJLhNPfgJkBKhJUYZYZQR[]OXiacute[Ph H MeJauml^JLhQVUiN H QVUPJOtilde[SXocircOcircaagravejaring

ocirc raquo aagravejumlaacute uacuteucirc thorn yuml aduumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn times Oslash yuml uumlgtthorn otilde)yuml d hreguumlgtthorn otilde)yuml eacuteHjaeuml eacutej THORN aacuteccedilaumlordfegrave eacute thorn timesOslash yumlauml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacuteHj THORN acircccedilaumlordfegrave eacute thorn UgraveUcircUacuteUuml yumlauml uacuteucirc thorn yuml aelig thorn UgraveUcircUacuteUuml yumlauml aeuml eacutej THORN aacuteccedilaumlordfegrave -eacute thorn timesOslash yumlauml $ thorn yuml aelig aelig thorn

timesOslash yumlaumlaelig agrave atilde auml acircccedilaumlordfegrave eacute thorn UgraveUcircUacuteUuml yumlauml thorn yuml aelig aelig thorn

UgraveUcircUacuteUuml yumlaumlaelig agrave atilde auml a j^ ^ecirccopyEgraveEacuteshyIacuteIumlETH39shyIgrave8shyIgraveFEgraveEcirc+NtildeFETH3gt+QIgraveETHOEacute3iexclNtildeshyEgrave78QIcircETH9IgraveumlIgrave+EacuteltEumlETHshyETHEacuteshyOacuterIgrave5euml1ONtildeFETH32EacuteltOacuteEacute10wETH9Igrave Ntilde=KETH3gt+ltIgrave=EacuteshyOacuteshyETHEacute1EgraveMJ[P[]NPf[SX H MQsYampKNih H QcY H [aumlbn[]ZOslashK-j H J H MeJ(JkWKhZJUYZYZQc[]Oaelig[SX H MeJuUPJUfc[BbLQ H mUPJUb H [PheumlwWMQcbdMregZaringN`PJUY H MeJUacutebLjehYUPJJUP[]fVUPJOtildeNPYXiacuteNPY H NPYFKEgrave[]YZYZQRcent-fRJ H [WNih^Y(NZaringQcOQCZIacutejFZ[SX H MeJaeligbnhQ H JLhdQR[]Oumlocirc^KO`[Ph^eJLh H [ ^JU^jbnJ H MJyUPJUfR[WbLQ H mwUPJUb H [PhOtilde[SX H MeJaeligNPb H QVUPJbn[]O H []jehQXhZ[]Z H MeJF^eJLhQVUiN H QVUPJ0[SX H MeJNtildebnhQ H JLhQR[]OOeWFJMNUPJ H [5Z N`PJFNiKKEgraveJUNih H MeJUPJUfR[WbLQ H moUPJUb H [PhUacuteQcO H MJTfcNPY HH WNtilde[ ^e[]ZaringNPQcOaQcO H J[PhdNPfcY(centm JkWKhZJUYYZQcO[ H MeJZ NPYcentEgrave[]jO^NihYm QcO H J[PhNPfcY^FMQcYbLNPOaJUNPYZQcfVm centEgraveJauml^e[]OeJTjYZQcO[MJL[PhZJZigravefe-^[]ZaringNPQcOQcO H J[PhNPfcYbLNPOeumlNPfVWNmWYiexclcentEgraveJIacuteJkBKhJUYZYJU^ NPYcentEgrave[]jO^NihYm QcO H J[PhdNPfcY^gtiexcl[WFJUPJLheOXiacute[PhYZQCZOslashKfcQcbLQ H mSe-fcJ H jYbn[]OYZQc^eJLh H MeJaringbLNPYJUYgWMeJLhZJ H MeJUYJOslashfcNPY HH WNtilde[`QcO H J[PhdNPfcYOtildeNihZJJBjNPf H [currenLJLhZ[eOgraveWMQcbMaringMNiKKEgraveJUOYX[PhZOslash[]Y H hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhdQRK H [PhY^S5OH MN H bLNPYJSeNPbLbn[Ph^QsO[ H [ H MeJaeligQcOeJBjNPfcQ H m[SXvNPjbdMOgravemV G bdMOgraveWNih H currenSe H MeJXiacuteNPY H JUY H^eJUbnhJUNPYJa[SXocirc|aagravejOslashQcY [Pcent H NPQcOeJU^ XhZ[]Zecirca jOslashcentm bMe[B[]YZQcOF[beuml aacute ccedilyeacute WMQsbMfRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[aeligJUP[]fcj H Qc[]O JjN H QR[]OOaringaelig Yacuteaagravejaelig agrave aacuteFuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yuml uuml thorn otilde)yuml eacute aacuteccedilaumlordfegrave ETHeacute thorn timesOslash yumlauml aelig thorn timesOslash yumlauml acircccedilaumlordfegrave ETHeacute thorn UgraveUcircUacuteUuml yumlauml aelig thorn UgraveUcircUacuteUuml yumlauml lteacute a macr]jUcircX H MJ^eJUYZbnhQRK H [PhY$^e[TOe[ H ^eJLKEgraveJUO^times[]OregagravetaiacutehZJ[]QR[]OeV4QcO^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhYjeH MeJgiexcl hZJU^jbnJUY H [ H MeJordfXiacute[]fcfR[WQcO[aeligJkWKhZJUYZYQR[]OOaringaelig Yacuteaagravejaelig agrave aacuteigraveuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yumldn reguuml thorn otilde)yuml7 eacutelteacute a ]j

uumlnyacutenthornnyumll13YSordmY_FY

f $amp)(+-)013021+345627893lt=gt9A6CB JaeligbLNPO`O[ H QcbnJ H MN HH MeJtimes^eJLKEgraveJUO^eJUObnJauml[SX H MJIacute^eJUYZbnhdQRK H [PhY[]OwagraveeEgraveNPO^aY[ []OH MeJiexclbLjehYUPJJUP[]fcj H QR[]OOeQcO^jbnJUY0NP^^Q H QR[]ONPf H JLhlZaringYFQcO H MeJiexclJUP[]fcj H QR[]O JjN H QR[]O[SX H MJFNPb H QVUPJ(bn[]O H []jeh^SMeJNP^^Q H QR[]ONPf H JLhZaringYQX[]jO^IacuteQcOoa macr]jbLNPOOe[ H hZJUNP^QsfVmcentEgraveJtimes[Pcent H NPQcOeJU^ WMJUO H MeJOslash^mBONSZaringQcbLNPfampYZbMJZOslashJaringQcYOtildeQcO H hZ[W^jbnJU^eumlNX H JLh H MeJOslashbn[]ZaeligVKj H N H QR[]Oa[SX H MeJaelig^eJLhQVUiN H QVUPJaeligjYZQcO[o0jfcJLhVA9N[PhNPOF[PJIacuteJBjN H QR[]OY^MjYe-Q H QcY[SX=KhQZaringJOeJUbnJUYZYZQ H m H [TQcO H hZ[B^jbnJ H MeJ^mWONSZaringQsbLNPfeYZbMeJZaringJiexclQcO H [ H MeJbnhQ H JLhQR[]OQ H YZJUfVXiexclQcO[Phd^eJLh H [JUNPYZQsfVmsup1[PJ H H MeJUYJaNP^^Q H QR[]ONPf H JLhlZ Y QcO bLNPYJa[SXhJ[]QR[]OWV^eJLKEgraveJUO^JUO H ^JUYZbnhQRK H [PhdY^MNPO`BY H [ H MeJUYJeumlNP^^Q H QR[]ONPf H JLhlZaringYeWFJ`JUOYZjehZJH MeJordfXqNPY H JUY H JUP[]fcj H QR[]O [SX H MeJIacutebLjehYUPJ H [WNih^YiexclNZaringQcOQZIacutejZ [SX H MeJTbnhdQ H JLhQR[]OO^ JeumlbLNPO NPfcY[hZJZaringNihY` H MN H H MeJUPJUfR[BbLQ H m[SX H MeJ bn[]O H []jhQsOa macr]j bLNPOcentEgraveJ K=[]YQ H QVUPJ[PharingOeJ[]N H QVUPJS^|MQcYaeligNPO QcO H JLhZJUY H QcO[eumlKh[PK=JLh H mOacute[SXiexclhZJ[]QR[]OWVcent-NPYJU^NPb H QVUPJ bn[]O H []jehY^ q O H MeJ bn[]O H hNihYm H [ centEgrave[]jO^NihYmVcentNPYJU^7NPb H QVUPJ bn[]O H []jehdYehZJ[]Qc[]OWVcentNPYJU^7NPb H QVUPJbn[]O H []jehYOslashNPfcfR[WYZ[]ZOslashJKNih H Ytimes[SX H MeJ bLjehYUPJ H [YZMehQsO`WMQcfRJ[ H MeJLhY(JkWKNPO^O^FMjY H MeJaumlQcOQ H QsNPfcQVcurrenUN H QR[]O QcYfRJUYYbn[]OY H hNPQsOeJU^O^^ macr^iexclEacuteltIacuteETHNtildeFETHEacuteshyOacute Eacute10wETH9IgraveumlIgravesup1+shyEacuteltEumlETHETH3EacuteshyOacuterIgrave5euml1ONtildeFETH32EacuteltOacute0EacuteltEgravexIcircEacuteshyIacute5IgraveIgrave2shyNtildeshyIacuteEumlOgraveIgraveIcirclaquoEacute10C8ltIgraveIcircd=KEgrave(ETHEacuteltEgraveIcircMJu[P[]NPf[SX H MQsY$KNih H QsY H [timesbn[]ZaringKj H J H MeJiexclJUP[]fcj H QR[]O JjN H QR[]Oaring[SX H MeJNPb H QVUPJbn[]O H []jehOcircXiacute[Ph0Y[]ZOslashJ(JkeNSZOslashKfcJUY$[SX-hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhY^SgJ H jY H N`PJY[]ZaringJT^eJUYZbnhQcK H [PhY(^eJLKEgraveJUO^QsO[aelig[]O H MeJyZOslashJUNPOBSOtimesOslash [Phiexcl[]O H MeJgUiNihQcNPObnJjuFtimesOslash [SXH MeJOtildeJUP[]fUBQcOF[OslashhZJ[]QR[]OwOumlcopytimesOslashaagravejaringEFFG FFH SOtimesOslashKaagravejumlaacute iacute $ w$ thorn yuml Otilde atilde auml WiexclQ H M icirctimesOslashaacute w$ thorn yuml atilde aumlu centtimes Oslash aagravejsup1aacute iacute $ w$ thorn yuml aOtilde SOtimes OslashKaagravejj cent atilde auml^ macr^f^iumlordfcentltshyltAringordfregethIumlIgravecurrenRAringcentmicroETHfrac34IumlltlaquomicroRreglaquoNOacute]currenRlaquosectsup1jCcedilR RAringordfregL Rlaquo3shy JTbdMe[B[]YJ H MeJgXiacute[]fcfR[WQcO[OslashYJ H [SX^eJUYbnhQRK H [PhYaring

uuml thorn UgraveUcircUacuteUuml yuml ^e[BJUYOe[ H ^eJLKEgraveJUO^[]Owagraveuuml thorn timesOslash yuml aacutecntildeaLuOcenttimes Oslash j a zSjWMJLhZJampntildeaOgravejQsYNOslashKEgrave[]YZQ H QVUPJiexclXqjOb H QR[]O[SX$bLfcNPYYograve aj^MQcYiexclUPJUfR[WbLQ H mumlUPJUb H [PhOslashQcYaumlbn[]ZaringKj H JU^centmeumlhZJLKfcNPbLQsO[ H MeJ H JLhZaringYauml[SXga jgWQ H MH MeJUQch$JkBKhJUYZYZQR[]OY^ J hY H JkWKhZJUYZY H MeJ^eJUYZbnhQcK H [Ph|uuml thorn timesOslash yuml NPYyNTbn[]ZTcentQsON H QR[]O[SXamp^e[]ZaringNPQcOY(QcO H J[PhdNPfcYaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacutemiddot thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn timesOslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejjaacutecntildeoacute agrave thorn timesOslash yuml aagravejagrave thorn timesOslash yumlcent aagravejfocirc a i]j

uumlnyacutenthornnyumll13YSordmY_FPa

yenKbrvbarsect =4 acirc $ fzWMJLhZJSaring EFFG FFH agrave thorn timesOslash yuml aagravejpoundaacute w$ thorn yuml aOtildegta2atildeltszligaumlj SOtimes OslashaagravejjUcirccent atilde aumlagrave thorn timesOslash yumlcent aagravejpoundaacute w$ thorn yuml atilde auml a h]j O^ H MBjYaring aelig thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacuteacircaOtildeKa2atildeshyszligaumlFj S timesOslash aagravejjUcirccentaelig thorn timesOslash yumlcent a2atildeshyszligaumlKszligYagravej|aacute f ad s j Y5XiacuteNihaumlNPY H MeJOslash^e[]Z NPQcO`QsO H J[PhNPfsYUacute[SX H MeJOslash^eJLhQVUiN H QVUPJaelig[SX H MJXqjOb H QR[]OY aelig thorn timesOslash yumlaumlNihZJaumlbn[]ObnJLhOeJU^OeFWFJauml[Pcent H NPQsOOaringEFFFG FFFH w5$ thorn yuml frac14ltotildeouml $_divideoslashfrac14 atilde aumlordmaacute frac14ltugrave $frac14 w$ thorn yuml aOtildeKa2atildeshyszligaumlFj SOtimesOslashKaagravejj atilde aumlaacute sw5$ thorn yuml frac14ltotilde ouml $_divideacircfrac14 atilde aumlordmaacute s adfjMJ H JLhZaringY eacute thorn timesOslash yumlauml NPfcY[aringMNUPJ H [ cent=Jaumlbn[]ZaringKj H JU^OeNPO^tWNtildeJg[PJ H aringEFFFG FFFH eacute thorn

timesOslash yuml aacute w$ thorn yuml uacute ouml $_divideacircntilde raquo7ucirc uacute ouml $_divideoslashuacute ouml $_divideacircyacuteuuml atilde aumlaacutecntilde raquo aLu centtimesOslash jeacute thorn timesOslash yumlcent aacute w$ thorn yumlBthorn uacute ouml $_divideoslashthorn uacute ouml $_divideacirc yuml acirc ntilde raquo ucirc uacute ouml $_divideoslashuacute ouml $_divideacirc uuml atilde aumlregaacute u centtimes Oslash ntilde raquo aLu centtimes Oslash j

G QsObnJ H MeJOslash^e[]Z NPQcO`QsO H J[PhNPfsYiexcl[SX frac14ltotildeouml $ordfdivideoslashfrac14 NPO^ frac14ltotildeouml $_divideacircfrac14 NihZJaeligJBjNPf H [currenLJLhZ[poundadfjeWFJOtildebLNPO ^QRhZJUb H fVm bn[]ZOslashKj H J H MeJiexclUPJUfR[WbLQ H mregUPJUb H [Ph[SX H MeJOtildeNPb H QVUPJTbn[]O H []jehuXiacutehZ[]Za macr]jNPO^WNtildeJyO^Oaringaelig Yacuteaagravejaelig agrave aacuteuumlgtthorn timesOslash yuml uumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn otilde)yuml dacute uumlgtthorn otilde)yuml eacutentilde raquo aLu centtimes Oslash jaaOtilde SOtimesOslashj cent u centtimesOslash jcedilQeacute ad j5Otad jeOgraveWFJbLNPOaringhJZaringNihY` H MeJ(KhZJUYJUObnJ[SX H MJNP^^Q H QR[]ONPf H JLhlZntilde raquo aLuOcenttimesOslash jaaOtilde SOtimesOslashj cent u centtimesOslash jeacuteacirc^^ macr^ ^iumlordfcentltshyltAringordfregethIumlIgravecurrenRAringcentmicroETHfrac34IumlltlaquomicroRreglaquoNOacute]currenRlaquosectsup1jpoundn Rlaquo JTbdMe[B[]YJ H MeJgXiacute[]fcfR[WQcO[OslashYJ H [SX^eJUYbnhQRK H [PhYaring uuml thorn UgraveUcircUacuteUuml yuml ^e[BJUYOe[ H ^eJLKEgraveJUO^[]Owagraveuuml thorn timesOslash yuml aacutecntildeaOtilde S timesOslash aagravejj adS]j

uumlnyacutenthornnyumll13YSordmY_FPo

fi $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJampntildeaOgravejQsYNOslashKEgrave[]YZQ H QVUPJiexclXqjOb H QR[]O[SX$bLfcNPYYograve aj^ YKhZJUWQR[]jYZfVmSe H MeJlaquoUPJUfR[WbLQ H mfrac34UPJUb H [PhTQcYbn[]ZOslashKj H JU^eumlcentmhZJLKfsNPbLQcO[ H MJ H JLhZaringY[SXua jcopyWQ H M H MeJUQRh(JkWKhZJUYZYZQc[]OY^FMeJauml^JUYZbnhQRK H [Ph uuml thorn timesOslash yuml QcY(JkWKhZJUYZYJU^centmKaringuuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacutei thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn times Oslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejjaacutentildeoacuteOtilde agrave thorn timesOslash yuml aagravejagrave thorn timesOslash yumlcent aagravejfocirc adj

WMJLhZJSaring EFFG FFH agrave thorn timesOslash yuml aagravejpoundaacute w5$ thorn yuml Otildegta2atildeltszligaumlj atilde aumlagrave thorn timesOslash yumlcent aagravejpoundaacute w5$ thorn yuml atilde auml adSmacr]j O^ Y[aring aelig thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejOcircaacuteegraveOtildegta2atildeltszligaumljaelig thorn timesOslash yumlcent a2atildeshyszligaumlKszligYagravejOcircaacute f adS]jG QsObnJ H MeJordfXiacutejOb H QR[]OY aelig thorn timesOslash yuml NPO^ aelig thorn timesOslash yumlcent ^e[aringO[ H ^eJLKEgraveJUO^[]OtagraveeFWFJTMNUPJSaringEFFFG FFFH w$ thorn yuml frac14ltotilde5ouml $ordfdivideoslashfrac14 atilde aumlregaacute s

w$ thorn yuml frac14ltotilde5ouml $ordfdivideacircfrac14 atilde aumlregaacute s ad]zSjMJ H JLhZaringY eacute thorn timesOslash yumlauml NihZJ H MJUObn[]ZOslashKj H JU^eNPO^WFJauml[Pcent H NPQcOOaringEFFFG FFFH eacute thorn

timesOslash yuml aacute w$ thorn yuml thorn uacute ouml $ordfdivideacircntilde raquo7ucirc Otilde uacute ouml $ordfdivideoslashuacute ouml $ordfdivideacircyacuteuuml atilde aumlaacute thorn iacute $ w$ thorn yuml ntilde raquo aOtilde SOtimesOslashj atilde aumleacute thorn timesOslash yumlcent aacute w$ thorn yuml uacute ouml $ordfdivideoslashthorn uacute ouml $_divideacirc yuml acirc ntilde raquo ucirc Otilde uacute ouml $ordfdivideoslashuacute ouml $ordfdivideacirc uuml atilde aumlordmaacute ugrave $iacute $ w$ thorn yuml ntilde raquo aOtilde SOtimesOslashj atilde auml JUacutebLNPO H MeJUObn[]ZOslashKj H JUacute^QRhZJUb H fm H MJ_UPJUfR[WbLQ H mUPJUb H [Ph[SX H MeJUacuteNPb H QVUPJOtildebn[]O H []jhXiacutehZ[]Zigravea macr]j(NPO^WNtildeJyO^Oaringaelig Yacuteaagravejaelig agrave aacuteuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yumldacute uuml thorn otilde)yuml eacute aOtilde SOtimesOslashjicircFtimesOslash $ thorn yuml ntilderaquo)aOtilde SOtimesOslashjmiddotQeacute adSi]j

5O H MeJtimesKNih H QsbLjfcNihiexclbLNPYZJIacute[SXIcircntildeaOgravejuaacuteOslashScenteKWFJtimesMNUPJnntilde raquo aOgravejcopyaacute NPO^ H MeJLhZJXiacute[PhZJSeH MeJiexclNP^^Q H QR[]ONPf H JLhlZaringYebn[]ZaringQcO[gXiacutehZ[]Z H MeJ UiNihQcN H QR[]O [SX H MeJiexcl^eJUYbnhQRK H [PhYOcircWQ H MagraveeNihJJjNPf H [gcurrenLJLhZ[^[WNtildeJUPJLheWQsOordmZOslash[]Y H bLNPYZJUYe H MQsYyNP^^Q H Qc[]ONPf H JLhlZoslashQsYyOe[ H

uumlnyacutenthornnyumll13YSordmY_FPy

yenKbrvbarsect =4 acirc $ fhcurrenLJLhZ[^ not [PhaeligJkeNSZOslashKfRJSeampQVXUgraventildea]jaacute yuml Wiexcl cent eshyWiexclQ H MN`KEgrave[]YZQ H QVUPJ bn[]OY H NPO H eQWFJMNUPJSaring

ccedil aacuteFuumlgtthorn timesOslash yuml uumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn otilde)yuml uumlgtthorn otilde)yuml eacute aOtilde SOtimesOslashjicircFtimesOslash $ thorn yuml aOtilde SOtimesOslashj IcircAumlaOtilde SOtimesOslashj cent adSh]j^ ^~IacuteFEumlIgraveFIacute5IgraveFOacuteETHNtildeFETHEacuteshyOacuteAgraven13ETH9 ETH9IgraveumlEumlIgravesup1+ltIgraveFEumltIcircIgraveFETHbIacute5IgraveFETH9shyEacute18 YXqNih0NPY H MeJOBjFZOslashJLhdQcbLNPfeQZOslashKfcJZOslashJUO H N H Qc[]OtimesQsYybn[]ObnJLhOeJU^eSWNtildeJbLNPOZOslash[W^eJUf H MeJNPb H QVUPJaumlbn[]O H []jeh_WQ H MNPOJkBK-fcQcbLQ H KNihNSZOslashJ H JLhdQVcurrenUN H QR[]ObaN[PhNPO[]QcNPOXiacute[PhlZtimesjfcN~VH QR[]OKjaelig[Ph NPO QCZOslashKfcQcbLQ H []OeJraNtildejfRJLhQsNPO Xiacute[PhlZIacutejfcN H QR[]Ogtj^ G JLJra G J H MQcNPOOe5fhSh s jNPO^egraveaJUfcQcO[PJ HH J NPO^ _a[]O H N[]ON H e sSs fjX[PhaeligNPOQcO H JLhZJUY H QcO[eumlbn[]ZOslashKNihdQcY[]OcentEgraveJ H WFJLJUO H MeJ H WNtilde[ZOslashJ H M[B^Y^ iexclO[ H MeJLhOtildeQcO H JLhJUY H QcO[aringhJUBQRJW[]O H MeJtimes^Q=JLhJUO HZOslashJ H M[B^Y[SX$NPb H QVUPJIacutebn[]O H []jehQcY(Kh[PK=[]YZJU^ QcOpoundaw_[]O H N[]ON H J H NPfd^Ve sSs fj^iexclJLhZJSeWFJaumljYJ H MeJaumlfRJUPJUfYZJ H ZOslashJ H Me[W^ NiKKhZ[]NPbdM KhZ[PKEgrave[]YJU^centm q YMeJLhNPO^G J H MQcNPOa q YZMJLh NPO^ G J H MQcNPOe fhSiSi]j centj H hJ[]QR[]OWVcentNPYJU^ NPb H QVUPJeumlbn[]O H []jehdYZaringNmNPfcYZ[ centEgraveJQZOslashKfcJZOslashJUO H JU^7centmjYQcO[`XNtildeV4YK-fcQcOeJUYXiacute[PhaeligNPOJkWKfcQsbLQ H K-NihNSZOslashJnVH JLhQcurrenUN H QR[]O ayhZJUbLQc[]Y[ NPO^XNihfcNPj^Oe sSs fj^shyMJ`PJmeumlQc^eJUN [SX H MeJOslashfRJUPJUfampYJ HZOslashJ H M[B^QsY H [ QcO H hZ[W^jbnJaumlNPO`NPjkWQsfcQcNihYmXiacutejOb H QR[]O l a2atildeltszligaumlgtszligYagravejYZjbdM H MN H YacuteaagravejQcY H MJtcurrenLJLhZ[OacutefRJUPJUfYJ H [SX l ^OcircMJXiacutejOb H QR[]O l QsYaelig[SX H JUO bMe[]YJUO H [centEgraveJ H MeJYZQ[]OeJU^ ^QcY H NPObnJordfXiacutejOb H QR[]O[SXQYacuteaagraveje-NPO^ QsY H MeJUObdMNihNPb H JLhQVcurrenLJU^acentmKaring

YacuteaagravejOcircaacute a2atildeltszligaumljPO l a2atildeshyszligaumlKszligYagravejaacute s a2 s jMQcYOcirc0jfRJLhQcNPOordmXiacute[PhlZtimesjfcN H QR[]O KhZJUYZJUO H YFYJUPJLhNPfEgraveNP^UiNPO H N[PJUYga G J H MQcNPOOeKfhShS]j^not QRhY H fVmSe H MeJabLjehYUPJ l ZaringNmcenthJUN`[PhoZOslashJLhY[PJNPY H MJXiacutejOb H QR[]O l JUP[]fUPJUYeNPO^ H [PK=[]fc[S[]QcbLNPfbdMNPO[PJUYFNihZJ H MBjY$JUNPYZQsfVmOslashMNPO^fRJU^^ G JUbn[]O^fVmSe H MJJUP[]fVUWQcO[XqjOb H QR[]O l a2atildeshyszligaumlKszligYagravejNPfVWNmWY(hZJZaringNPQcOY(NlaquoXiacutejOb H QR[]O NPfcfR[WQcO[timesJltz bLQRJUO H OBjFZOslashJLhVQcbLNPfFYZbdMeJZOslashJUY^OcircMQRh^fVmSe H MeJ[PJL[]ZOslashJ H hQcb KhZ[PKEgraveJLh H QcJUYT[SX H MeJ bLjehYUPJSe$fcQV`PJ H MeJbLjehlU~N H jehJ NPO^ H MeJOslashOe[PhlZ NPfshyUPJUb H [PhordfJUfs^eacute e=bLNPO centEgraveJIacuteJUY H QZaringN H JU^euml^QRhZJUb H fmXiacutehZ[]Z H MeJTfcJUPJUfgYJ H XqjOb H QR[]Oaring aacute V ucirc l l uuml NPO^ eacuteecircaacute l l a2FfjMJJUP[]fsj H QR[]O JBjN H QR[]O H MeJUO centEgraveJUbn[]ZOslashJUYaringaelig l aagravejaelig agrave aacuteegraveccedilacute l a2 jMJregUPJUfR[WbLQ H msup1XiacutejOb H QR[]OxccedilEQcYIacutebn[]ZaringKj H JU^7[]OfVm[]O H MeJbLjehYUPJYacuteaagravejaumlcent-j H WFJbLNPO Jk H JUO^ Q H YFJkBKhZJUYZYZQR[]O H [ H MeJiexclWMe[]fRJUacuteQZaringN[PJOtilde^e[]Z NPQcOoOumlordf^[OslashQZOslashKfRJZaringJUO HH MeJIacutefRJUPJUf9YJ H ZOslashJ H Me[W^OeY[]fsj H QR[]OYuZtimesjY H centEgraveJgXiacute[]jO^ H [ bLQRhbLjZyUPJUO H Kh[PcentfRJZaringY

uumlnyacutenthornnyumll13YSordmY_FP

s $amp)(+-)013021+345627893lt=gt9A6CBbn[]ZaringQsO[ Xh[]Z H MeJpoundXqNPb HH MN H`H MeJYZQV[]OeJU^ ^QcY H NPObnJumlXqjOb H Qc[]O l QcYaOe[ H NY[]fsj H QR[]O[SX H MeJyiexcl a2 jeEgraveYJLJa []ZOslashJUYNPO^ not NPjF[PJLhNPYe sSsSs jyacuteXiacute[Phiexcl^J H NPQcfcY^5Oaelig[]jehWF[PhY`gte H MJuXiacutejOb H QR[]O l QcYamphZJUQsOQ H QcNPfcQcurrenLJU^TY[ H MN H Q H hZJZaringNPQcOYampNOtilde^QsY H NPObnJXqjOb H QR[]OenYZJLJ5aq jecentEgraveJLh H NPO^gcOtilde[PhdOeKhZ[PcentY H e sSs fJLcenthZJUjFUPJSe sSsSs jOXiacute[Ph^J H NPQcfcY[]O H MJOtildehZJUQcOQ H QsNPfcQVcurrenUN H QR[]O JBjN H QR[]OO^5Oeuml[Ph^eJLh H [QCZOslashKhZ[UPJaringOjFZaringJLhQcbLNPfJltz bLQRJUObmSeOWFJaringbn[]ZOslashKj H J H MeJOslashJjN H QR[]O[]O NIacuteONihhZ[Wcent-NPO^aringJUObLfc[]YZQcO[ H MJiexclfRJUPJUf s [SX H MeJUacutefRJUPJUf-YJ H XqjOb H Qc[]OO^ JUacuteNPfcY[jYZJZtimesjf H QRhZJUYZ[]fcj H QR[]O H JUbdMOQBjeJUYcentmZaringN`BQsO[ H MeJFNPb H QVUPJ(bn[]O H []jh$JUP[]fVUPJcopyhY H[]ONOslashfc[W hZJUYZ[]fcj H QR[]O QZ N[PJS^FMeJordfONPfbn[]O H []jeh[Pcent H NPQcOeJU^Xiacute[Ph H MQcYhJU^jbnJU^QZ N[PJaumlQcY H MeJUOjYJU^ NPYNPOQsOQ H QcNPfEgravebLjehYUPJordfXiacute[Ph H MJOtildehZJUNPfgYZQVcurrenLJaumlQCZaringN[PJS^

EparaacuteAgravegtmicrosup1acuteIKJcedilJT2MgtI MraquowMgtmicrosup1MAgravegtacuteIltacuteMgtPltAtilde iquest acuteAgravegtT2MKIshyAtildeAcirccedilAtildeacuteNicircMgtI cedilAEligMgtmicroOcircacuteOgraveJTCJT13MKI sup2OcircacuteJordfsacuteacuteI Jfrac14ltacutegcedilFLT2cedilIshyROgraveacuteAtilderaquoAMLBqoLacute13AtildeR]cedilsup32acute GmicrobcedilAgraveacuteAtilde5O H MQcYUacuteYJUb H QR[]OOeOWFJOslashKhZ[PKEgrave[]YJaeligY[]ZOslashJOslashhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhY H [YJ[iVZOslashJUO H M[]ZOslash[S[PJUOeJL[]jYiexclhZJ[]QR[]OYiexcl[]Ofrac34[PhZJmBYbLNPfRJIacuteQZ N[PJUY^gtMJUYJIacute^eJUYbnhQRK H [PhYiexclNihZJcentNPYZJU^[]O H MJZaringQcOQZaringQVcurrenUN H QR[]O [SX H MeJU~NihdQcNPObnJUYauml[SX H MJ H WF[`bn[]OYZQc^eJLhZJU^OacutehZJnV[]QR[]OY^ 5O H MJ7YJUbn[]O^ K-Nih H e H MJQZOslashKEgrave[Ph H NPObnJOacute[SX H MeJNP^^Q H QR[]ONPf H JLhZaringYebn[]ZaringQsO[XiacutehZ[]Z H MeJiexclU~NihdQcN H QR[]O [SX H MeJUacute^eJUYZbnhQcK H [PhYWQ H M H MeJiexclJUP[]fUBQcOF[IacutehZJ[]Qc[]OYeQcY9MQV[]MfcQ[]M H JU^O^ G QCZOslashKfRJJkWNSZaringKfRJUY9YMe[W H MeJ0QZOslashKEgrave[Ph H NPObnJ$[SX H MeJUYJ0NP^^Q H QR[]ONPfH JLhlZ Y H [ NPbMQRJUPJ H MeJOtildeJkWKEgraveJUb H JU^aYJ[]ZaringJUO H N H QR[]O^^f^laquoIgraveIcirc=KEgrave(FETHOEacuteltEgraveIcircEcircgtNtildeltIcircIgrave8 EacuteshyOacute ETH9Igravek+NtildeshyEgrave13NtildeshyOacute=KIgraveC0EacuteshyEgraveh4ltEgraveOIgravesup1QIcirc=NtildeltEumlOgraveIgrave2Iacute Ntilde4ltIgraveIcircMJQcO H JUOYZQ H mregXiacute[Phu[PhZJmWYZbLNPfRJaumlQZ N[PJUY(QcYhZJLKhZJUYZJUO H JU^centm NlaquoXqjOb H QR[]OOtilderegaringOgraveOumlOtilde 13ordfcentwntilde Otilde 13laquo^ JaKhZ[PKEgrave[]YJ H [bZaringQcOQZaringQVcurrenLJ H MeJU~NihdQcNPObnJUYOslash[SX H MeJ H WF[bn[]OYZQc^WVJLhZJU^ Me[]Zaring[S[PJUOeJL[]jY hZJ[]Qc[]OY QcO [Ph^eJLh H [YJ[]ZOslashJUO H H MeJZ^uMJXiacute[]fcfR[WQcO[^eJUYbnhQRK H [PhY(NihJaumlYZj[S[PJUY H JU^OaringEFG FH uuml thorn UgraveUacuteUuml yuml aacutecntildeaLuOcentUgraveUacuteUuml juuml thorn times Oslash yuml aacutecntildeaLuOcenttimes Oslash juuml thorn otilde)yuml aacutecb a2Ograve]jWMJLhZJjntildea]jQcYNOslashKEgrave[]YZQ H QVUPJordfXiacutejOb H QR[]O [SX$bLfcNPYZYEacuteograve aOtilde 13yj(NPO^kb`NOslashKEgrave[]YZQ H QUPJaumlbn[]OWVY H NPO H ^MJTbn[]ZOslashKj H N H Qc[]O[SX H MeJUPJUfR[BbLQ H mUPJUb H [PhaumlQcY^JU^jbnJU^tXiacutehZ[]Z H MeJIacutebn[]ZOslashK-j H N~VH QR[]O`[SX H MeJaelig^eJLhQVUiN H QVUPJIacute[SX H MeJtimesbnhdQ H JLhQR[]Opoundocirc7^eJUPJUfR[PKEgraveJU^ QcO G JUb^^ macr^feWMQsbMfRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[aeligJUP[]fcj H Qc[]O JjN H QR[]OOaringaelig Yacuteaagravejaelig agrave aacuteethntildeaLu centtimesOslash j ntildeaLu centUgraveUcircUacuteUuml jb ntilderaquo)aLu centtimesOslash jaaOtilde S timesOslash j cent u centtimesOslash j ntilde raquo aLu centUgraveUcircUacuteUuml jaaOtilde SUgraveUcircUacuteUumlj cent u centUgraveUacuteUuml jIcirc13eacute a2Sj

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ fMJiexclYZQcOF[]fRJiexclK-NihNSZOslashJ H JLhcopyWNtildeJOtildeOeJLJU^ H [aringNP^~ZjY H QcY H MeJUacuteYYZOslash[B[ H MQcO[timesKNihNSZOslashJ H JLhb^5OregXqNPb H e H MeJ X [W ethb MNPY H MeJiexclKhZ[PKEgraveJLh H QRJUYNtilde[SXYYZOslash[B[ H MQcOF[IacutecentEgraveJUbLNPjYJOtildeQ H ZOslash[UPJUYH MeJUacutebLjehYUPJUacuteQcO H MeJUacute^QRhZJUb H QR[]O [SX9Q H YfRJUOF[ H MregXqjOb H QR[]ONPfQa G Qs^^QBQeJ H NPfd^VeOfhShS]j^^ ^~IacuteEacuteltEgraveETHOgraveNtildeltOacute=KIgravefrac34Eacute10frac34ETH9Igrave Ntilde8182ETHEacuteshyOacuteNtildeshyEumlETHIgraveFEgraveOIacute5Icirc5O[Ph^JLh H [7JU~NPfcjN H J H MeJ QZOslashKEgrave[Ph H NPObnJ`[SX H MeJ`NP^^Q H QR[]ONPf H JLhlZaringYX[Ph H MeJYJ[]ZaringJUO H N H QR[]OeuWNtildeJpoundZaringN`PJ H MJeumlNPb H QUPJbn[]O H []jehaJUP[]fVUPJ H MehZ[]j[]M H MJ iexcla2SjeQsObLfcj^QsO[ H MeJaumlNP^^Q H QR[]ONPf H JLhlZaringY^ q O H MeJUacute[ H MeJLhMNPO^OeWNtildeJaumlNPfcYZ[ZaringN`PJQ H JUP[]fUPJfrac34WQ H M H MeJwXiacute[]fcfR[WQcO[ WhZ[]OF[JUP[]fcj H QR[]OJjN H Qc[]O H MN H ^e[JUY Oe[ HQcObLfcj^eJ H MeJaumlNP^^Q H QR[]ONPf H JLhlZaringYaringaelig Yacuteaagravejaelig agrave aacuteethntildeaLu centtimesOslash j ntildeaLu centUgraveUcircUacuteUuml j`b Qeacute iuml a2Ogravemacr]jnot [Ph H MeJOtildeJkWKEgraveJLhQZOslashJUO H YeWFJ H N`PJntildeaOgravejOcircaacute ILK KafcediliexclOgravejWMQsbM[]QVUPJUYntilde raquo aOgravejaacutefdOafcedil]j(NPO^ H MeJgUiNPfcjeJOtilde[SX H MeJaumlKNihdNSZOslashJ H JLhEacutebaQcY(YJ HH [frac34f s ^OcirckBKEgraveJLhQCZOslashJUO H Y NihZJ KEgraveJLhYX[PhZOslashJU^ []O NYmWO H MJ H Qcb`QCZaringN[PJumlZaringNP^eJeumljeK [SXTNPO

Me[]Zaring[S[PJUOeJL[]jYYYBjNihZJ[SX9QcO H JUOYZQ H mwf s []O NIacutecentNPbl`[PhZ[]jO^ [SX9QcO H JUOYZQ H mtf s ^ []NPjYZYZQsNPOOe[]QcYJUacute[SXUiNihQcNPObnJ s QcY(NP^^eJU^ H [ H MQcY(YmWO H MJ H QcbOtildeQZaringN[PJS^MeJOtildeJUP[]fcj H QR[]Oa[SX H MeJTNPb H QVUPJtimesbn[]O H []jehUacute^ehQUPJUOcentmpounda2SjQcYu[]QVUPJUO`QcO not QV[^ WMQcfRJ H MeJ[]OeJ`[Pcent H NPQcOeJU^ jYZQcO[ a2Ogravemacr]j QcYordm[]QUPJUO QcO not QV[^ ^ J bLNPO hZJZaringNihY`H MN H WMeJUO H MeJoiexclQsObLfcj^eJUY H MJ NP^^Q H QR[]ONPf H JLhZaringYe H MJ YYBjNihZJ QcYgWFJUfcfYJ[]ZaringJUO H JU^acirca not QV[^ ^bjeuWMeJLhJUNPYWiexclMeJUO H MeJ |iexclD^e[BJUY Oe[ H QsObLfcj^eJ H MeJUYJNP^^Q H QR[]ONPf H JLhZaringYwWFJ7[Pcent H NPQcO N bLQRhbLfcJOacuteQcOY H JUNP^ [SX H MeJ7JkBKEgraveJUb H JU^YYBjNihZJa not QV[^ ^bj^MeJUYJhZJUYZjf H YNtildebLNPOcentEgraveJcentEgraveJ HH JLh(jO^eJLhY H [[W^WMQcfRJNPONPfmcurrenUQcOF[ H MeJiexclUPJUfR[WbLQ H mUPJUb H [PhYUacute[SXNtildeJUNPbMJUP[]fsj H QR[]O JjN H QR[]OO^ Jaringbn[]ZOslashKNihZJ H MeJ H WF[ JUP[]fcj H QR[]OYiexcl[SXH MeJlaquoUPJUfR[WbLQ H mwUPJUb H [PhYauml^jehQcO[ H MeJaeligKhZ[PKN[]N H Qc[]Oeuml[SX H MeJOslashbLjehYUPJwa2WiexclQ H Me[]j HH MeJcentEgrave[]jO^NihYmVcent-NPYJU^ H JLhlZb j^MeJ(JUP[]fcj H Qc[]OOslash[SX H MeJNSZOslashKfsQ H j^eJ[SX H MeJyacuteUPJUfR[Wb|VQ H mregUPJUb H [Ph[SXQ|iexcla2SjFQsY[]QUPJUO QcO not Q[aqYj^ ^ ^OecurrenJSe Xfrac34]eWMQsfRJ H MeJOtildeNSZOslashK-fcQ H j^eJ[SX H MeJUPJUfR[WbLQ H mwUPJUb H [PhOtilde[SX||iexclacirca2Ogravemacr]jiexclQcY []QUPJUO`QcO not QV[aqYj^ ^ ^OecurrenJSe Xfrac34]^ JOslashbLNPO[PcentYZJLhYUPJ H MN HaringH MeJUPJUfc[BbLQ H msup1WiexclQ H Me[]j HaeligH MeJNP^^Q H QR[]ONPf H JLhlZaringY QcYaeligNbn[]OY H NPO HWMJLhZJ [PcentUWQR[]jYfVm H MJaQZaringN[PJfrac34XJUN H jehJUY ^e[OacuteO[ H NiKKEgraveJUNih^ q O H MeJabn[]O H hNihYmH MeJaumlQCZaringN[PJordfXJUN H jhZJUYuWFJUfcfNiKKEgraveJUNihQcO H MeJordfUPJUfR[WbLQ H m QcObLfcj^QcOF[ H MeJaumlNP^^Q H QR[]ONPfH JLhlZ Yya not QV[aqYj^ ^ ^OecurrenJSe Xfrac34jiexclNPO^ Y[ H MeJaumlYljNihJTbLNPO centEgraveJordfWNtildeJUfsfYJ[]ZOslashJUO H JU^O^MeJyKhZJUWQR[]jYEgravehJUYZjf H YgYMe[W H MN H Q H QcY[SXeKhQCZOslashJ$OeJUbnJUYZYZQ H m H [ H N`PJQcO H [NPb|Vbn[]jO H0H MJNP^^Q H QR[]ONPf H JLhZaringYeWbn[]ZaringQcO[XhZ[]Z hZJ[]QR[]OeV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhYeQcO[Phd^eJLh H [ hZJUNPbdMaN H hdjeJgZaringQcOQCZIacutejFZ [SX H MeJaumlbnhQ H JLhdQR[]OO^

uumlnyacutenthornnyumll13YSordmY_F

S $amp)(+-)013021+345627893lt=gt9A6CBEIumlparaacuteAgravegtmicrosup1acuteIKJcedilJT2MgtI MraquoordfAEligMgtsup32MLwMKmicrobMgtAgraveacuteIshyacuteMgtPltAtilde iquest acuteAgraveKT13MKIshyAtildeAcirclaquocedilFAtildeacuteNicircMKIJfrac14ltacutepoundAEligMAringcedilFLT2cedilIltR]acuteHcedilJLTOcircfrac12sup3T13ROgravecedilJT2MgtI JMAgraverltcedilFR]acuteacuteJacuteR]JT2MgtIicircT2ItT2NQacuteM paraacutePshyacuteIltR]acuteAtildeMQcY0K-Nih H ^eJUNPfcYWQ H M H MeJOtildeYJ[]ZOslashJUO H N H QR[]O [SXMe[]ZOslash[S[PJUOeJL[]jY(hZJ[]QR[]OYQcOZtimesjfuVH QcYZK=JUb H hdNPfQZaringN[PJUY^ YNPOaJkWNSZaringKfRJSeWFJIacuteYZMe[W H MN HiexclH MeJTbn[UiNihQcNPObnJZaringN H hQVkbLNPOacent=JIacuteNUPJLhYm KEgrave[WFJLhYXqjf H [B[]f H [ YJ[]ZOslashJUO H Me[]Zaring[S[PJUOeJL[]jYbn[]fR[PhiexclhJ[]QR[]OY^F5OXqNPb H e H MeJtimes^eJ H JLhlZaringQsONPO H [SX H MeJTbn[U~NihQsNPObnJZ N H hQkKhZ[UPJUY H [ centEgraveJIacuteNaringhJUfRJU~NPO Hbn[]fR[PhaelighZJ[]Qc[]O7M[]ZOslash[S[PJUOeJUQ H msup1ZOslashJUNPYZjhZJZOslashJUO H a G NPO[SWQcOeJ NPO^r[PhdOeJSeufhShSi]j^_`QcOQZ QVcurrenUQcO[ H MQcYjNPO H Q H m ZOslashJUNPOY H MN H WFJwWNPO HH [^eJUbnhZJUNPYJ H MeJeumlbn[]ZaeligVKfcJkWQ H m[SXUacuteNeumlhZJ[]QR[]Oa hdNmJ H NPfd^Ve sSs fampN H JUjke sSsSs j^MQcY H [B[]fuZaringNmKhdNPb H QcbLNPfcfVm cent=JaumljYJU^X[Ph XiacuteNPbnJtimes^eJ H JUb H QR[]OaQsO QZaringN[PJaumlYJBjeJUObnJUY^macr^f^laquoIgraveIcirc=KEgrave(FETHOEacuteltEgraveIcircEcircgtNtildeltIcircIgrave8 EacuteshyOacute ETH9IgraveAgrave=Eacute3+NtildeshyEgrave13NtildeshyOacute=KIgravefrac34Iacute_NtildeFETHEgraveEcirc20EacuteshyEgrave=EacuteshyEumlEacuteshyEgrave2Iacute Ntilde4ltIgraveIcircMJQcO H JUOYZQ H mxXiacute[Ph bn[]fR[Ph QCZaringN[PJUYaringQcYOslashhJLKhZJUYJUO H JU^centm7NpoundXiacutejOb H QR[]OOtildeegravearingOumlOtilde 13ordfcent ntilde Otilde 13 WMeJLhZJ Otilde aacute Otilde szligYOtildeOgravecentszligYOtilde13ordf ^iexclXm NPONPfR[S[SmAumlWQ H M H MeJOacuteY H j^Fm Xiacute[Ph[PhZJmWYZbLNPfRJFQZaringN[PJUYeWNtildeJZaringQcOQCZaringQVcurrenLJ H MeJNtilde^J H JLhlZaringQcONPO H [SX H MeJFbn[UiNihQcNPObnJcopyZaringN H hQVk[SX H MeJTbn[]OYQc^eJLhZJU^hZJ[]Qc[]OY^ J5ZaringNmaringNPYYZjFZOslashJ H MN H JUNPbdM bn[]fR[PhFhZJ[]QR[]Oacute13 QsYOcircZOslash[W^eJUfcfRJU^OslashcentmOslashNg[]NPjYYZQcNPO^QsY H hQRcentj H QR[]Oeuml[SXyacuteZOslashJUNPOiexclSegraveaacute S szligPS cent szligPS NPO^7bn[UiNihQcNPObnJZ N H hQk5^MeJKh[PcentNicentQcfcQ H maring^eJUOYQ H moXiacutejOb H QR[]O QcYu[]QUPJUO centm H MeJgXiacute[]fcfR[WQcO[aeligJkWKhZJUYZYQR[]OOaring

$ampamp aOtildejOcircaacute fa )( j +cent aq^J H ayacutejj cent JkWK- f aOtilde Sltj thorn aOtilde Sltj a2Ograve]jG [eZaringQcOQZaringQVcurrenUQcOF[ H MJbn[U~NihdQcNPObnJuZaringN H hQktimes^eJ H JLhlZaringQcONPO H [SX-NPOtimesJUP[]fVUWQcO[hJ[]QR[]ONiKKEgraveJUNihY H [OslashcentEgraveJNtimeshZJUfcJU~NPO HH [[]f H [ordmZaringN`PJ H MQcYFhZJ[]Qc[]O bn[]OUPJLhY[PJ H [WFNih^Y H MeJbLfR[]YZJUY H Me[]ZOslash[S[PJUOeJL[]jYbn[]fR[PhiexclhZJ[]QR[]OO^9J H jY$Oe[ H J timesOslash NPO^0copyUgraveUcircUacuteUuml H MJbn[UiNihQcNPObnJ5ZaringN H hQcbnJUYy[SX=hJUYKEgraveJUb H QVUPJUfVmordmOuml timesOslash aagravejNPO^tOuml UgraveUacuteUuml aagravejaring

atilde aacute213 u Patilde u centatilde u atildeu cent atilde u centcentatilde u cent4atildeu5 atilde u5centatilde u54atilde67 a2zSj

WMJLhZJSaringEFFG FFH u times aumlatilde aacute iacutefaring w aring thorn yuml aOtilde times S times atilde jaOtilde auml S auml atilde j atilde aumlS times atilde aacute iacutefaring w aring thorn yuml Otilde times a2atildeltszligaumlj atilde auml WQ H M aacuteiVIgraveOacute[Ph Kf5

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ J [PcentUWQR[]jYZfm`MNUPJacuteu times aumlatilde aacuteu auml timesatilde ^shy9J H jYaumlO[ H J ^eJ H a atilde j H MJ ^eJ H JLhlZaringQsONPO H [SXH MeJaumlbn[U~NihdQcNPObnJZ N H hQkWiexclMQcbMJkBKhJUYZYZQR[]O QcY H MJgX[]fsfR[WQsO[aring

^eJ H a atilde jumlaacute u Patilde u centcentatilde u 4atilde u centatilde u atilde u cent4atilde u Patilde u cent4atilde u cent4atilde u centcentatilde u atilde u atilde u 4atilde u centatilde u centatilde a2Ogravei]jnot jOb H QR[]OY [SX H MeJeumlbn[UiNihQcNPObnJpoundZaringN H hQk ^eJ H JLhZaringQcONPO H YNihZJ jYJU^ NPY hJ[]QR[]O^eJUYbnhQRK H [PhY^ JIacutebMe[B[]YJ H MJordfX[]fcfc[WQcOF[aeligYZJ H [SX$^eJUYZbnhQRK H [PhYaringEFG FH uuml thorn UgraveUcircUacuteUuml yuml aacute98ordfaq^eJ H acopyUgraveUcircUacuteUumlAjjuuml thorn timesOslash yuml aacute98ordfaq^eJ H a timesOslash jjuuml thorn otilde)yuml aacuteOslashb a2Ograveh]jWMJLhZJ8ordfaOgravejFQcYNOslashKEgrave[]YZQ H QVUPJiexclXiacutejOb H QR[]O [SXampbLfcNPYZYograve aOtilde 13yjFNPO^Cb`NOslashKEgrave[]YZQ H QVUPJOtildebn[]OWVY H NPO H ^gJ H jYNtildeOe[W WhQ H J H MeJJUP[]fcj H Qc[]OaringJBjN H QR[]O [SX H MeJiexclNPb H QUPJbn[]O H []jehcentmbn[]ZOslashK-j H QcO[ H MJIacute^QEgraveJLhZJUO HH JLhlZaringYiexcl[SX_a j^J H NPQcfcYiexcl[SX H MeJIacutebn[]ZaringKj H N H QR[]O bLNPOcentEgraveJgXiacute[]jO^QsOaNiKKEgraveJUO^QVk X5^gtMJaumlJUP[]fcj H QR[]O`JBjN H QR[]O[SX H MJIacuteNPb H QVUPJaeligbn[]O H []jhQcY H MJgX[]fsfR[WQsO[aringaelig Yacuteaagravejaelig agrave aacute8gaq^eJ H atimesOslashjj 8ordfaq^eJ H a UgraveUcircUacuteUuml jj`b admacr s jlt8Icircraquodaq^eJ H a times Oslash jgt= ccedil A B egrave aOtilde S timesOslash jaOtilde B5 S BtimesOslash jB^eJ H aDC EBtimesOslash ja fj BGFH amp^eJ H atimesOslashj48 raquo aq^eJ H atimesOslashjj 8Icircraquodaq^eJ H a UgraveUacuteUuml jgt= ccedil I B egrave aOtilde Eacute S UgraveUcircUacuteUuml jaOtilde B S BUgraveUcircUacuteUuml jB^eJ H aDC JBUgraveUacuteUuml ja fj BKFH amp^eJ H a UgraveUcircUacuteUuml j48 raquo aq^eJ H a UgraveUcircUacuteUuml jjcedil13eacuteMJZaringN H hdQkLC JBatilde QsY ^JU^jbnJU^icircXh[]Z H MJeumlbn[U~NihdQcNPObnJbZaringN H hdQkM atilde centm YZjeKeVKhJUYZYZQcO[ H MeJ uuml UumlON hZ[WENPO^ H MeJ I UumlON bn[]fcjFZaringO^MeJeumlfcNPY H Xiacute[]jeh fsQcOeJUY [SX H MeJJBjN H QR[]ONihZJ H MeJOtildeNP^^Q H QR[]ONPf H JLhZaringY(bn[]ZaringQcO[XiacutehZ[]Z H MeJiexclU~NihQsN H QR[]O [SX H MeJOtilde^eJnVYZbnhdQRK H [PhYWiexclQ H Mordmagrave^ Y0Q H MNPYycentEgraveJLJUOOslashKhJUBQR[]jYZfVmTKhZ[UPJU^X[Ph[PhZJmWYZbLNPfRJiexclQCZaringN[PJUYeH MeJUYZJ H JLhlZaringYMNUPJ H [ cent=Jaumlbn[]OYZQc^eJLhZJU^ QsO[Ph^eJLh H [regZ N`PJ H MeJTNPb H QUPJTbn[]O H []jhbn[]OUPJLhY[PJ H [WFNihd^YNZ QcOQZtimesjFZ [SX H MJTbnhQ H JLhQc[]OO^macr^ ^~THORNUgrave2FIgraveFEgrave2Iacute_IgraveFOacuteshyETHOgraveNtildeshyEumlEgraveOIgraveIcircdEumlETHOIcircnot [Ph H MJ JkWKEgraveJLhQZOslashJUO H YeQWNtildeJ H N`PJCntildea]jordmaacute ILK Kaf[]jgWMQsbMsup1[]QVUPJUYnntilde raquo aOgravejaacutefdOafWOgravej(NPO^8ordfaOgravejaacute ILK KafIcirch cent juWMQcbdMt[]QVUPJUY8 raquo aOgravejaacute ETHOafIcirch cent j^ JbdMe[[]YZJ bbaacute f s ^QMeJaringbn[]fR[PhtimesYKNPbnJ YJUfcJUb H JU^QcYaQPszlig l szligicirclaquojeltWMeJLhZJwaOtilde aacuteRPordmjhZJLKhZJUYJUO H Y H MeJfsjFZaringQcONPObnJNPO^waOtildeOgravecent5aacute l j$NPO^frac34aOtildeS aacuteOslashicircj$hZJLKhZJUYJUO HyH MeJ H WF[bdMehZ[]ZaringQcONPObnJUY^ not [Ph H MeJbn[]ZaringKj H N H QR[]OOslash[SX H MeJuUiNihQcNPObnJSei[]Ofm H MeJfcjZaringQcONPObnJQcY(jYJU^O^

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CB5Oaring[Phd^eJLh H [aeligYJ[]ZOslashJUO H NPO Me[]ZOslash[S[PJUOJL[]jY0hJ[]QR[]OOeOgraveWFJiexclY H Nih H WQ H M NPO QcOQ H QcNPf

bLjehlUPJ0QcOYZQs^eJ H MJ0hZJ[]QR[]Oauml[SXWQsO H JLhZJUY H ^MeJybLjhYUPJ0QcY H MJUOTYZjeKK=[]YZJU^ H [JkWKNPO^jO H Qcf(Q H hJUNPbMeJUY H MeJ centEgrave[]jO^NihlmOacute[SX H MeJabn[]ObnJLhdOeJU^ Me[]Zaring[S[PJUOeJL[]jYaringhJ[]QR[]OO^MJtimesbLjehlUPJtimes^e[BJUYUacuteOe[ H [P[cent=JmP[]O^ H MJUYJaeligcent=[]jO^NihQRJUYiexclYZQcObnJSe=[UPJLh H MeJLhZJSe H MeJbnhQ H JLhQR[]OOacuteQsObnhZJUNPYJUYtimescentEgraveJUbLNPjYJ H MeJU~NihdQcNPObnJOcircu centtimesOslash [Ph H MeJ bn[U~NihdQcNPObnJtZaringN H hQVk^eJ H JLhZaringQcONPO H ^eJ H atimesOslashjUcirccentOtildeQsObnhZJUNPYJS^MeJaringNPfV[P[PhQ H MZEcentNPYJU^[]O H MeJ bn[UiNihQcNPObnJZaringN H hQVkeumlQcYaumlK=JLhlX[PhlZaringJU^euml[]ONPOQZ N[PJ [SX H MeJUBQs^eJL[`YJBjeJUObnJrnN`WQVmP[]peumlQcO[Ph^JLh H [euml^eJ H JUb HaeligH MeJYKEgraveJUN`PJLhUTYXqNPbnJS^gtMJaumlJUP[]fcj H QR[]O[SX H MJIacutebLjehYUPJIacuteQcYu[]QVUPJUO QcO not QV[^ macr^gtMeJTbn[]O H []jehiexclJUP[]fUPJUYH [ONPfcfVmbn[]OUPJLhY[PJaelig[]O H MeJIacutecent=[]jO^NihQRJUY[SX H MJyXqNPbnJa not QV[^ macr^bj^OMeJyXiacuteNPbnJaeligQcYH MeJUONPbLbLjehdN H JUfVm YZJ[]ZOslashJUO H JU^^FMeJUacuteNSZOslashKfcQ H j^eJ[SX H MeJiexclUPJUfR[BbLQ H m QsYFNPfsY[laquo[]QVUPJUOQcO not QV[aqYj^ macr^ ^OecurrenJSe Xfrac34jNPO^WNtildeJUacutebLNPO [PcentYJLhYUPJ H MN HFH MeJ5XiacuteNPbnJUacutehZJ[]QR[]O QcYUPJLhYmWFJUfcf^eJUfsQZaringQ H JU^regXhZ[]Z H MJ[ H MJLhhZJ[]QR[]OY^MJ5UPJUfc[BbLQ H m[]QUPJUO QcO not QV[aqYj^ macr^ ^OecurrenJSe XQcObLfcj^eJUY H MeJNP^^Q H Qc[]ONPf H JLhlZaringYFbn[]ZaringQcOF[yXiacutehZ[]Z H MeJ5UiNihQcN H QR[]O [SX H MeJiexcl^eJUYbnhQRKeVH [PhY5WQ H Magrave`centj H ^e[BJUYOtildeOe[ H QcObLfcj^eJ H MeJaeligcentEgrave[]jO^NihlmVcentNPYZJU^ H JLhlZ WMQcbMeumlQcYUacuteNYYZaring[[ H MQsO[ H JLhlZ^KMeJtimesNSZOslashKfcQ H j^eJOtilde[SX H MeJyUPJUfc[BbLQ H maQcYiexclOe[PhlZaringNPfcQcurrenLJU^ centEgraveJ H WFJLJUOs NPO^ macrSmacre$YZjbdM H MN HTH MeJ OeJ[]N H QVUPJoU~NPfcjJUYIacuteNihZJ fR[WFJLh H MNPO f i`NPO^ H MeJKEgrave[]YZQ H QUPJ[]OJUYNihZJTMQ[]MeJLh H MNPOpoundf i^ J bLNPObn[]ZaringKNihZJ H MJ QcOQ H QsNPfUPJUfR[BbLQ H m[Pcent H NPQcOJU^jYZQcOF[ H MeJ bn[U~NihQsNPObnJZaringN H hdQk admacr s juWQ H M H MeJOtilde[]OeJOtilde[Pcent H NPQcOeJU^jYQcO[ H MeJordfUiNihQcNPObnJrega2Sj^KMeJordfXqNPbnJTQcYOe[ H WNtildeJUfsf9^eJ H JUb H JU^QcO H MeJUPJUfR[BbLQ H m[Pcent H NPQsOeJU^ajYQcO[ H MeJUiNihQcNPObnJa not Q[^ ^bjWMJLhZJUNPYIacuteQ H QcYIacutehZJUNPfcfmumlWNtildeJUfcfF^eJ H JUb H JU^QsO H MeJQcOQ H QcNPfUPJUfR[WbLQ H m7jYZQcOF[ H MeJbn[iVUiNihQcNPObnJpoundZ N H hQk a not QV[^ ^currencentj^_MeJ UPJUfR[WbLQ H m [Pcent H NPQcOeJU^ jYZQsO[ H MeJumlU~NihdQcNPObnJ^e[BJUYOe[ H NPfsfR[W NPOJltz bLQRJUO H YJ[]ZOslashJUO H N H QR[]O`[SX H MeJyXiacuteNPbnJauml[]O H MeJaumlbn[]O H hNihYm H [H MeJIacutebn[UiNihQcNPObnJlaquoZaringN H hQk^eJ H JLhZaringQcONPO H WMQsbM H N`PJUYUacuteNP^UiNPO H N[PJaelig[SX H MeJtimesbn[]fR[PhQcOFX[PhlZ N H QR[]OO^macr^ ^WVFEumlETH=gtNtildeFETH32EacuteltOacuterETHEacute`0Ntilde=KIgravek8ltIgraveFETHIgrave5=KETH32EacuteltOacute~2Oacute+(8ltIgraveEacute IcircIgrave5euml1IgraveFOacute=KIgraveIcircMJa^eJUYZbnhQcK H [PhYOslashcentNPYZJU^[]O H MJ`bn[UiNihQcNPObnJZaringN H hdQkNihJ`QZOslashK-fRJZOslashJUO H JU^ H [^eJ H JUb H MBjFZaringNPO XqNPbnJUYQcO UWQc^eJL[OacuteYJBjeJUObnJUY^MQsYaring^eJ H JUb H QR[]OegraveZaringNm cent=J`jYJU^Xiacute[PhtUWQc^eJL[ bn[B^QcO[ H [JUObn[W^eJYJUfcJUb H QVUPJUfVm H MeJOacuteMBjFZaringNPOegraveXqNPbnJS^ not [Ph`N []QVUPJUObn[]ZOslashKhZJUYZYZQR[]OOacutehN H QR[e H MeJoXiacuteNPbnJbLNPO7cent=J H hNPOYYZ Q HH JU^bWiexclQ H MN MQV[]MJLhThN H J H [H MeJ^eJ H hdQZOslashJUO H [SX H MeJcentNPbl`[Ph[]jO^O^uMQsY QsO H JLhZJUY H QcO[KhZ[PKEgraveJLh H m QcYUiNPfcjWVNicentfcJuX[PhUBQc^JL[Bbn[]OXiacuteJLhZJUObnJUYe]WMeJLhZJ H MeJ ZOslash[]Y H QZOslashKEgrave[Ph H NPO H NPO^regZOslash[]Y H U~NihdQcNicentfRJQcOFX[PhlZ N H QR[]OQcYfR[WbLN H JU^ []O H MJordfXiacuteNPbnJaq 5ZOslash[]Oe[]j`NPO^tUacutejMNSZaringJUfde sSsSs j^ J QcOQ H QcNPfcQVcurrenLJ H MJhdY H XiacutehNSZOslashJoWQ H M7N`bLQchbLfRJ QsOYZQc^eJ H MeJXqNPbnJ H [ H hNPbY`K^MJUOOeyacuteWFJsup1ZaringN`PJ H MeJNPb H QVUPJ7bn[]O H []jeheumlJUP[]fVUPJjYZQcOF[admacr s jeiexclWQ H MX8ordfaOgravejxaacuteILK KafUgravemiddot cent j^ltMeJregONPfybn[]O H []jehtimes[SX H MeJ bLjehZhJUO H QZaringN[PJ QcY H MeJUOOacutebdMe[]YJUO7NPYNPO QcOQ H QcNPfbLjhYUPJordfX[Ph H MJUacuteOJk H QZaringN[PJS^FMeJOtildeNPfV[P[PhQ H MFZMNPYcentEgraveJLJUOKEgraveJLhYXiacute[PhlZOslashJU^[]OYJUPJLhdNPf$YJjJUObnJUY^MeJaelighZJUYjf H Y5X[Ph H MJaeligYZJjeJUObnJpoundn5JLhQV`p NihJordm[]QVUPJUOQcOnot QV[^ethz^shyMeJaringKNihNSZaringJ H hZJ bMNPYaumlcentEgraveJLJUOYZJ HaumlH [sup1f s ^QMeJordmXqNPbnJ QcYordfWFJUfcfy^J H JUb H JU^NPO^ H hNPbY`PJU^times[]O H MJ|WMe[]fcJyYJjJUObnJS^MJyhZJUYZjf H YOX[Ph H MeJNtildeYZJjeJUObnJnN`WQVmP[]p

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ macrNihZJy[]QVUPJUO`QsO not QV[^ i^ JaeligbMe[B[]YJbaacute s ^ JtimesbLNPO`YJLJ H MN HH MeJXiacuteNPbnJaeligQcYuWFJUfcf^eJ H JUb H JU^aJUPJUOaQVX H MeJaumlbn[]fR[Phiexcl[SXMJLhYZMQRh H QsY(bLfR[]YJ H [ H MJgXiacuteNPbnJIacutebn[]fR[Ph^

YOEAEligMgtIltROgravesup3PshyAtildeT13MKI5O H MQcYKNiKEgraveJLheuWNtildeJKhZ[PKEgrave[]YJN OeJW 0jfRJLhQcNPOAumlZaringQsOQZaringQVcurrenUN H Qc[]OAumlZOslashJ H Me[W^ H [bn[]ZOslashK-j H J H MJUPJUfR[WbLQ H mpoundUPJUb H [Pharing[SXNPONPb H QVUPJ bn[]O H []jeh H MN H JUOYZjehZJUYtimesQ H WQcfcfJUP[]fVUPJ NPYordfXiacuteNPY H NPYOtildeKEgrave[]YZYZQRcentfcJ H [WNih^YIacuteNZaringQcOQCZIacutejFZ [SXN bnhQ H JLhQR[]OeumlQcObLfcj^QcOF[centEgrave[ H MUacutehZJ[]QR[]OeVcentNPYJU^TNPO^OtildecentEgrave[]jO^NihYmVcentNPYJU^ H JLhlZ Y^ q jehgNiKKhZ[]NPbMIacuteQcYcentNPYZJU^Otilde[]OYZMNiK=J[PK H QZaringQVcurrenUN H Qc[]OOslashKhQcObLQRKfRJUY$NPO^ QcYyKEgraveJLhYXiacute[PhlZOslashJU^ QcO H MehZJLJ5ZaringNPQcO Y H JLKYaringf^ltO H hZ[W^jb H QR[]O[SX$NOslash^mWONSZaringQcbLNPfYbMeJZOslashJIacuteQcO H MeJTbnhQ H JLhQR[]OOe ^vF[]ZOslashKj H N H Qc[]Oaelig[SX H MeJ_0jfRJLhdQcNPOaelig^eJLhQVUiN H QVUPJ[SX H MJbnhQ H JLhQR[]OOslashjYZQcO[OtildeYZMNiKEgraveJ

[PK H QZaringQVcurrenUN H Qc[]O H [[]fcYe^vF[]ZOslashKj H N H Qc[]Oa[SX H MeJtimesJUP[]fcj H Qc[]OaJBjN H QR[]O`[SX H MeJaeligNPb H QVUPJtimesbn[]O H []jehiexclXiacutehZ[]ZH MeJT^eJLhQU~N H QVUPJS^

iexcl Ntilde _ cent G NPfcfR[WY H [hJUNP^QcfVm H N`PJNtildeQcO H [NPbLbn[]jO H9H MeJybLNPYJ0[SXBhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H^eJUYbnhQRK H [PhY H MN H NihZJo[]fR[PcentNPfcfVmN HH NPbdMeJU^ H [ H MeJ JUP[]fVUWQcO[ hZJ[]QR[]OYtimesNPO^Y[H MN H UiNihYm^jehQsO[ H MJaumlKhZ[PKN[]N H Qc[]O [SX H MJaumlbLjehYUPJS^ JTYMe[W H MN HH MeJgUiNihQuVN H QR[]O [SX H MeJUYJ^JUYZbnhQRK H [PhdY QsO^jbnJUYNP^^Q H QR[]ONPf H JLhlZaringYQcO H MeJeumlJUP[]fcj H QR[]OJBjN H QR[]Oeuml[SX H MeJaringNPb H QVUPJ bn[]O H []jeh^MJUYJ H JLhlZaringYgZtimesjY H Oe[ H centEgraveJlaquoX[Phl[P[ HH JUOQcO[Ph^JLh H [ hZJUNPbMeumlN H hjeJZ QcOQZtimesjFZ[SX H MeJtimesbnhQ H JLhQc[]OaNPYUacuteQ H MNPYcentEgraveJLJUOKEgrave[]QcO H JU^[]j H QsOJkBKEgraveJLhQZaringJUO H NPfEgravehZJUYjf H Y^

Yfrac34XiacuteNiheumlNPYeumlMe[]ZOslash[S[PJUOeJL[]jYeumlbn[]fR[PheumlhZJ[]Qc[]OY`YZJ[]ZOslashJUO H N H Qc[]OQsY`bn[]ObnJLhdOeJU^OeWFJKhZ[PKEgrave[]YJ H MeJ`bn[U~NihQsNPObnJfrac34ZaringN H hdQk^eJ H JLhlZaringQcONPO H NPY N^eJUYbnhQRK H [Ph^MQcYY H N H QsY H QcbLNPfhZJ[]QR[]OeV4^eJLKEgraveJUO^eJUO H ^JUYZbnhQRK H [PharingNiKK=JUNihdY H [centEgraveJN UPJLhlm7hJUfRJU~NPO HH [B[]fampNPO^eumlY[ Q H MNPYUacutecent=JLJUOeumlYZjbLbnJUYZYXqjfcfVm NiKKfsQRJU^ H [XqNPbnJaring^eJ H JUb H QR[]OQcOfrac34UWQc^eJL[YJBjeJUObnJUY^

iquest acuteraquoacuteLacuteIltR]acuteAtildeagraveIgravefrac14dEcircsup1Atilde5AringiquestLmiddotNtildeIumliquestUumlgIumlUTHORNampAtildeEacutecedilAtilde5AringAcircnAtilde|iquestaacuteIacuteIumlIZEgravefrac14Zcedilfrac12frac14dAringiEcirc]iquestfrac14draquoiEcirc[NtildeIumlagraveAringEacutePAtildecedilwAacute4] uacute_^J^J^ iquest)` igraveraquoLCcedilfrac14cedil4Ecircfrac14draquo~Ecirc(Auml|AringAacuteCcedilfrac14Zcedil4Ecirc

Agrave5AringcedilAcircnAtilde$AtildeAcircnAuml|frac12AringAacutesup1AumldraquoTAringAEligwsup1raquo~ordm(frac12Atilde5AcircnAtilde5frac12AEligwAtildeAacuteampIgrave(Atilde AacuteIcirc~AumlUEcircSaIumligraveraquo13] x4~rv p4PldrRtcoPl|Egraveod5v pv i4vodaumlx4shyl not vsectpqo v tu not Iumlcb$Auml|EacutePAtilde|iquestednfrac14Oumlifrac14draquoIuml

agraveIgrave(Aumldraquo~Auml|Aringiquest~igrave4IumlPfrac14raquoiEcircfWIumliTHORNampAringIcircifrac14Igrave(Atilde5frac12G] divideugrave|ugrave|ugrave iquest` igraveAacuteAtildecedil4frac14ZAacutesup1Acirc|AtildeNtildeEacute~frac14dAgrave4UgraveUCcedilEgravefrac14cedil4EcircUacuteAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoUacuteOgraveregAumldcedilIcirc~sup1Atildecedil4frac14cedilAgrave4Icirc~sup1currenEumlAgravefrac14dfrac12=CcedilEgravefrac14AcircnAtilde5frac12AtildeAacutesup1Igravefrac14ordm|AtildeAgrave5AumlUEcircsup1raquo~ordmIaIumlaeligigraveiacuteraquoS] x4rv p ildrRtcodil|ampod5v pv P4vOtildeodOslashx4shy(l not vFsectpqo v tu not Iumlg frac14raquo~Agrave5AumldAring~AcircnAtildecediliquestehEgravefrac14raquoifrac14|Ecircfrac14Iuml

agraveAringEacutePAtildecedilwAacuteiquest[NtildeIumlWfrac14raquoiEcircifWIuml13b$Aumldcedilraquo~OumlcedilAuml|EacuteAEligqAacute4] divideugrave|ugraveuacute iquestkj ldrregv shy(ldrRtcl|ipwonm5v shyNtildetuOslashtushyl not vampipwo4v tu not sect9ldp4rRtcl|Egravedt lv pv ~rRtRl|9vDm~lrRtcod~ldiTrreg~vUacutel| Uiexcloqnldp4tcldrRtRod~ iquestpoAumlIuml uacute_qEr IumlOslashagrave9Ouml~Oumlfrac12sup1AtildeEcircaacuteUacutefrac14AacuteIcirc~AtildeIgravefrac14Aacutesup1Agravefrac14dfrac12BatildeAgravesup1Atilderaquo~Agrave5Atilde5AElig5iquestPatildeOumlcedilsup1raquoordm|Atildecedil g Atildecedilfrac12frac14dordmIumlhEgravefrac14dAEligwAtilde5frac12frac12Atilde5AElig5iquest g Iumliquest~szlig0Iumleb$sup1Igrave(Igrave(Atilde5frac12Riquestifrac14raquoiEcirc[NtildeIumlatildefrac14dOumlsup1cedilAumlI] uacute_^J^Er iquest`s[Atilde5AumlUEcircAtilde5AEligwsup1AgraveFfrac14dAgraveAacutesup1AcircnAtildeyAgrave5AumldraquoUAacuteAumldAringcedilAElig_aIuml x4~rv p4PldrRtcodPldpoundUodUp4Pl|WoqodshyiUrv paumlumltutcodutet13v uacute+w iquestex uacuteyIrz^ Iuml

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CBh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34LiquestBagraveyIumlWfrac14raquoiEcircidIumlBTHORNampAringraquo~Agravefrac14raquo13] uacute4^z^J^ iquest`[ampfrac14Igrave(AtildeEumlcAacuteIcirc~Atilde5AumlcedilAtildeAacutesup1Agrave(sup1raquoUAacuteAtildeordmdcedil4frac14Aacutesup1AumldraquoaeligOgraveuAumldcedil0sup1Igravefrac14dordmdAtildeAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIuml xQ|||~pwl~ lnrRtcodNtildeodiexclsect9lrRrv p auml9Pl| ~tuyldi j l|4Utu]vx4~rvreg t not v P4v Iumlh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34Liquestgagrave0IumliquestIumlgatildeUAacute4frac14dsup1Eacuteiquest9frac14draquoiEcircdIuml9THORNampAringraquo~Agravefrac14raquo13] uacute_^J^ xiquest` THORNampAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeIacuteEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34iraquo~Ecircsup1raquo~ordmsup1raquoIgrave(AtildeEcircsup1Agravefrac14frac12iexclsup1Igravefrac14ordm|Atilde5AEligaringEacuteLfrac34Oacutesup1raquoLAacuteAtilde5ordmcedil4frac14Aacutesup1raquo~ordm ordmdcedil4frac14|Ecircsup1Atilde5raquoLAacute frac14raquoiEcirccedilAtilde5ordm|sup1Auml|raquo sup1raquoOgraveuAumldcedilIgravefrac14ZAacutesup1Auml|raquo13aIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu notI iquesteE ^4y rdugrave Iumlh=Icircifrac14raquoiquestBETHIumlWfrac14raquoiEcircIuml g Atilde5AEligwAtildeJ] dividedugravedugraveuacute iquest` agraveAgraveAacutesup1AcircnAtildeFAgrave5Auml|raquoLAacuteAuml|AringcedilAElig$Ccedilgsup1AacuteIcircAuml|AringAacuteNtildeAtilde5Ecircordm|AtildeAElig_aIuml xQ||k|~pwld lnrRtcododUacutex4shy(l not v9sectpqo4v 4tu notuU v divideJw iquest divide xJx ydividezrJr Iumlh=Icirc~Atilde5AEligwraquo~frac14dAring~EcirciquesthIumliquestfWIuml=szligAtildeOgraveYacutecedilIAtilde5ordm|sup1Atildecediliquestfrac14draquoiEcirc g Iuml5Z=AumldAring~frac12AtildeAacute4] uacute_^J^z^ iquest`currenatildeUAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12cedilAtilde5ordmdsup1AumldraquoAEligwraquoifrac14dUgrave|AtildeEumlsEacuteifrac14dAEligwAtilde5EcircAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquofrac14|Ecircfrac14dOumlAacuteAtilde5EcircFAacuteAumlyEcircsup1s]AtildecedilAtilde5raquoLAacute-Ouml~IcircLfrac34AEligwsup1Agrave5frac14dfrac12~raquoAuml|sup1AEligwAtilde9Igrave(AumlUEcircAtilde5frac12AElig_aIuml xQ||k|~pqld~ lnrRtco~$osect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4vt iquest uacute|uacute_q y~uacute|uacute xIumlh=Auml|IcircAtilde5raquoiquestIuml] uacute4^z^uacute iquest`currenmiddotraquofrac14dAgrave Aacutesup1Acirc|Atilde Agrave5AumldraquoLAacuteAuml|AringcedilIacuteIgrave(AumlUEcircAtildefrac12AEligtimesfrac14draquo~EcirceumlEacuteifrac14dfrac12frac12AumlLAuml|raquoAElig_aIuml odshyiUrv pumltutcod pwl Utc0ldix4shyl not vsectEgravepwo4v tu not x4shyl not vOtildePnv p rsldidtu not) iquest divideUuacuteduacuteydivideLuacute UIumlh=Auml|IcircAtilde5raquoiquestSIumliquestUumlIuml13ZEgravefrac14cedil4Ecircsup1raquo~AtildeAacuteiquestfrac14raquoiEcircoNtildeIumlagrave9frac34Lfrac14dAgrave4Icirc~AtildeJ] uacute_^J^z iquest`atildeUAringcedilwOgraveufrac14dAgrave5Atilde0cedilAtilde5Agrave5Auml|raquoAEligqAacutewcedilAring~AgraveAacutesup1AumldraquotimesAring~AEligwsup1raquoordmfrac14AgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilaumlIgrave(AumlUEcircAtilde5frac12AElig_aIuml igraveiacuteraquoS] Lsect=xQ|od5v pv P4v od vwodshy(v rRp tc j v rregodtimestuodshyiUrv pumltutco Iuml~atildefrac14raquoUacuteTHORNampsup1Atilde5ordm|AumliquesthEgraveagraveyIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquestEgraveUumlIuml] dividedugrave|ugravedugrave iquest`currenatildeAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquo Ouml~frac14cedilAgrave5Auml|raquoLAacuteAuml|AringcedilAEligUacutefrac14AgraveAacutesup1currenOgraveuAEligUacuteAtilde5raquosup1Igravefrac14dordmdAtildecedilsup1AtildeIacuteIgraveAtilde5Ecircsup1Agravefrac14dfrac12AtildeIacuteEcircfrac34UEumlraquoifrac14dIgrave(sup1ecircLAring~Atilde]ampfrac14Ouml~Ouml~frac12sup1Agravefrac14ZAacutesup1AumldraquoAtilde5raquoeumlAgravefrac14Zcedil4Ecircsup1Auml|frac12Auml|ordmdsup1Atilde raquoUAring~Agravefrac12Atilde5frac14dsup1currencedilAtildeJaIumlfIcircIuml THORNFIumlAacuteIcirc~Atilde5AEligwsup1AElig5iquestraquo~sup1AcircnAtildecedilAEligwsup1currenAacutefrac34`AumlOgraveosup1Agrave5AtildeEumliacuteatildeAumldOuml~Icircsup1Yacutefrac14NtildeagraveraquoLAacutesup1OumlPAuml|frac12sup1AElig5iquestPeacutecedil4frac14raquo~Agrave5AtildedIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquest|UumlIumliquestUaacuteIacuteIumlEZEgravefrac14cedilfrac12frac14dAring~Ecirciquest[NtildeIumlLagraveAringEacutePAtildecedilwAacuteiquest|frac14draquoiEcirc dIumlnTHORN$frac14ZcedilAgrave5Auml|AringcedilwAacute4] divideugrave|ugraveUuacute iqueste`currenatildeOuml~frac14dAgrave5AtildeEgraveAacutesup1Igrave(AtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14EumlAacutesup1AumldraquoUacuteAring~AEligwsup1raquoordmfrac12Atilde5AcircnAtilde5frac12AEligwAtildeAacutefrac14dAgraveAacutesup1AcircnAtilde$AgraveAuml|raquoLAacuteAuml|AringcedilAEligfrac14Ouml~Ouml~frac12sup1AtildeEcirciexclAacuteAumlFIgraveNtildefrac34LAumlLAgravefrac14Zcedil4Ecircsup1frac14dfrac12ordmnfrac14ZAacuteAtildeEcircOtildeatildeIf-UumlkhEgraveETHaIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu not t v rJw iquest)x qJ+y xJ ^ Iuml

THORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquest13iexclNtildeIumlfrac14draquo~EcircdIumlWaacuteAuml|raquoLAacute4frac14ordm|raquoifrac14ZAacute4] divideugrave|ugraveUuacute iquest` ETHBAumldOumlPAuml|frac12Auml|ordmfrac34Oslashfrac14raquoiEcircIacuteAEligwIcirc~frac14dOumlPAtildeAgraveAuml|raquo~AEligqAacutewcedil4frac14sup1raquoUAacuteAEligyAumldraquotimesOumlifrac14Zcedil4frac14EumlIgrave(AtildeAacutewcedilsup1AgraveOslashfrac14dAgraveAacutesup1AcircnAtildearingAgrave5AumldraquoLAacuteAuml|AringcedilAElig_aIuml odshy~rv pumltutcodldP x4shy(l not vPLv p4rsldPtu notcent) v divideJw iquestuacute_qnugrave4yiuacute4rUuacute Iuml[Auml|Igrave(Atilde5AElig5iquestpounddIumlfrac14draquo~EcircaringmiddotNtildeIumleacuteifrac14Aring~ordm|Atilde cedil4frac14dAElig_] divideugrave|ugrave|ugrave iquestcurren` szlig9Atilde5Agrave5Aumldraquo~Agrave5sup1frac12sup1raquo~ordmIacuteEcircsup1AEligqAacute4frac14draquoAgrave5AtildeOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligfrac14draquo~Ecircaeligfrac12Atilde5AcircnAtilde5frac12EgraveAEligwAtilde AacuteAElig_aIumlpoundUodUp il|WoqUacuteumltul|-odshyNtildeshyFU~tR4lrRtcodTldix4shyl not vampgvipv v rsldrRtcod ) iquest dividedugravez^+ydivideddividez Iuml[cedil4frac145frac34LiquestszligyIumliquestdIumlyen-Auml|Aringraquo~ordmiquestampfrac14raquoiEcircagrave0Iumlampagravesup1currenfrac34LAtildecedil4] dividedugravedugraveuacute iquest `aacutesup1raquosup1IgraveNtildeAring~Igrave Ecircsup1AEligwAgrave cedilsup1Igrave(sup1raquo~frac14Aacutesup1Auml|raquosup1raquoOgraveregAumldcedilIgravefrac14Aacutesup1AumldraquoAgrave5frac12Aring~AEligqAacuteAtildecedilsup1raquo~ordmI]Igrave(AumlUEcircAtilde5frac12sup1raquo~ordmTfrac14raquoiEcircOslashecircLAringifrac14raquoUAacutesup1Ocircfrac14ZAacutesup1Auml|raquoOslashCcedilgsup1currenAacuteIcirc ordm|frac14dAringAEligwAEligIgrave(sup1currenicircAacuteAringcedilAtilde5AElig_aIumlTigraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquest=atildePIumliquest=aacuteIacuteIumlkZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestEgravefrac14raquoiEcirc[NtildeIuml=agrave9Aring~EacutePAtildecedilwAacute4] dividedugrave|ugraveUuacute frac14Uiquest` agrave EumliacuteatildeUAacuteAtilde5Ouml frac14dfrac12ordm|Aumlcedilsup1currenAacuteIcirc~IgraveAring~AEligwsup1raquoordmcedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtilde=Agrave5Auml|raquoLAacuteAuml|AringcedilAEligeOgraveuAumldcedilAcircUsup1EcircAtilde5AumlAuml|EacuteUbrvbarqAtilde5Agrave AacuteAElig=EcircAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoSaIuml~igraveraquo13]psect xw j x4 sect odpDumlqo odUacutex4shy(l not v9Pl| ~tu5op j rRtushyvwdtclNtildex4rv pwlnrRtKndvy]v pntc4v IumliETHWfrac14dIgrave(OumlPAtilde cedilAtilde|iquestieacuteWsup1raquofrac12Yacutefrac14raquoiEcirc]Iumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquestUatilde]IumliquestUaacuteIacuteIumlUZ=frac14cedilfrac12frac14dAring~EcirciquestUfrac14raquoiEcirccopy[NtildeIumlUagrave9Aring~EacutePAtildecedilwAacute4] dividedugravedugraveuacute EacuteiquestA` szlig9Atilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14AgraveAacutesup1AcircnAtildegAgrave5Auml|raquoLAacuteAumldAringcedilAEligOgraveuAumldcedilAcircUsup1YacuteEcircAtilde5AumlaringAuml|EacuteUbrvbarqAtilde5Agrave AacuteOtildeAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo Ccedilgsup1currenAacuteIcircaAgrave5frac14dIgrave(Atildecedil4frac14OslashAgrave5AumldIgrave(OumlPAtilde5raquo~AEligfrac14ZAacutesup1Aumldraquo13aIumligraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquesteatilde]IumliquestWaacuteIacuteIumlZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestefrac14draquo~Ecirc[NtildeIumlBagraveAring~EacutePAtilde cedilwAacute4] divideugrave|ugraveuacute Agrave|iquestk` g sup1EcircAtilde5AumlUacuteAuml|EacuteUbrvbarqAtildeAgraveAacuteFAEligwAtildeordm|Igrave(Atilde5raquoLAacute4frac14Aacutesup1AumldraquoAring~AEligwsup1raquo~ordmIacuteAtilde5Aring~frac12Atildecedilsup1frac14draquo cedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAElig_aIuml igraveiacuteraquoS] x4rv p ildrRtcodil|yodv pwv P4vIacuteoodshyiUrv paumlumltutcod Iuml g frac14draquoAgrave5Auml|AringAcircnAtildecediliquestehEgravefrac14draquo~frac14|Ecirc~frac14UIumlbyfrac14dAEligwAElig5iquesteaacuteIacuteIumliquestWagrave0Iuml Ucirc sup1currenAacuteUgravesup1raquoiquestWfrac14raquoiEcirctimesTHORNFIumlWETHBAtildecedilOcirc5AumldOumlPAuml|Aringfrac12AumldAElig_] uacute4^ JUiquestk`currenatilderaquoifrac14UgravenAtilde5AElig_]WagraveAgraveAacutesup1AcircnAtilde(Agrave5AumldraquoLAacuteAuml|Aringcedil0Igrave(AumlUEcircAtilde5frac12AElig_aIumlx4~rv p4PldrRtcoPl|WpoundUop4PldWoqodshyiUrv pTumltutcod iquest ndivideUuacuteyUzndivide Iuml

aacuteUacutefrac14dfrac12frac12frac14|Ecircsup1ciquest~szlig0IumliquestedIuml]atildeUAtildeAacuteIcirc~sup1frac14raquoiquest~frac14draquoiEcircZIuml g Atilde5IgraveNtildeAringcedilsup1G] uacute4^z^ UiquestS`atildeUIcircifrac14OumlPAtilde$Igrave(AumlUEcircAtilde5frac12sup1raquo~ordm0Ccedilgsup1AacuteIcirciexclOgraveregcedilAuml|raquoLAacuteOumlcedilAumldOumlifrac14dordm|frac14EumlAacutesup1Aumldraquo13]nfrac14ampfrac12AtildeAcircnAtilde5frac12AEligwAtildeAacuteEgravefrac14Ouml~OumlcedilAumlnfrac14dAgrave4Icirc13aIuml xQ|||~pwld lnrRtcodampodsectgldrRrv p 9Pl| ~tu9ldP j ln4Utreg]vx4~rvu t not v i4v Iordf iquest uacute z yiuacute+r UIuml

aacuteUacutefrac14draquoAEligwAuml|Aringcedilsup1Riquestagrave0Iumlfrac14draquo~EcircdIumlb$Auml|raquocedil4frac14|EcircS] uacute_^J^J^ iquestlaquo`currenaacuteAumldAacutesup1AumldraquoAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo`Ccedilgsup1currenAacuteIcirceumlfrac12Atilde5AcircnAtildefrac120AEligwAtilde AacuteAElig_aIuml igraveraquo13]x4~rv p4PldrRtcoPl|=ov pwv P4vNtildeodUacutex4shyl not vsectEgravepwo4v tu not Iumlcb$AumldEacutePAtilde|iquestednfrac14dOuml~frac14draquoIuml

aacuteAuml|raquoLAacute4frac14dordmdraquoifrac14ZAacuteiquestdIumliquestziexcl0IumlTHORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquestdfrac14draquo~EcircoNtildeIumlZagravegfrac34Ufrac14dAgrave4Icirc~AtildeJ] dividedugrave|ugraveUuacute iquest` agraveOslashcedilAtildeAcircsup1AtildeCcedilaeligAumldOgravePEcircAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeAEligwAringcedilwOgraveufrac14dAgrave5AtildeAElig_]AacuteAuml|OumlPAuml|frac12Aumldordmdfrac34Liquestgordm|AtildeAuml|Igrave(AtildeAacutewcedilwfrac34frac14draquoiEcirc EcircAtildeOgraveuAumlcedilIgravefrac14Aacutesup1Auml|raquoSaIuml x4shyl not vtimesldiOacuteumltutcododshy~rRtreg not0Inot v uacute_qw iquestuacuteugravendivide+y~uacuteugravezq|ugrave Iuml

aacuteAring~IgraveOgraveregAumldcedil4Ecirciquest=THORNFIumlgfrac14raquoiEcircdIumlatildeIcirc~frac14dIcircS] uacute4^ ^ iquest`currenmiddotOumlAacutesup1Igravefrac14frac12$frac14dOumlOumlcedilAumlicircsup1Igravefrac14Aacutesup1Auml|raquoAEligEacuteLfrac34Oumlsup1AtildeAgrave5AtildeCcedilgsup1AEligwAtildetimesAEligwIgrave(AumlLAumlAacuteIcircOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligFfrac14raquoiEcircOslashfrac14dAEligwAEligwAumlLAgravesup1Yacutefrac14ZAacuteAtildeEcircaringAcirc|frac14Zcedilsup1Yacutefrac14ZAacutesup1Auml|raquoifrac14frac12EgraveOumlcedilAumldEacute~frac12Atilde5Igrave(AElig_aIuml odshyNtildeshyFU~tR4lrRtcod~oaeligsectEgraveUpvUacuteldiEgraveni tsvw j ldrreg~v shy(lrRtccurrenshyt iquest rzr4y xJ q Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfa

yenKbrvbarsect =4 acirc $ zmiddotAEligwIcirc~AtildecediliquestdatildePIumlfrac14draquo~EcircdIumlnatildeAtilde AacuteIcirc~sup1frac14draquoS] uacute4^ ziquest` eacutecedilAuml|raquoLAacuteAEligeOumlcedilAumldOumlifrac14ordmnfrac14Aacutesup1raquoordmCcedilgsup1currenAacuteIcircFAgrave5AringcedilAcirc|frac14ZAacuteAringcedilAtildeEumlEcircAtilde5OumlPAtilde5raquoiEcircAtilde5raquoLAacuteBAEligwOumlPAtildeAtildeEcircS]

agravefrac12ordm|Aumlcedilsup1AacuteIcircIgrave(AEligEacute~frac14dAEligwAtildeEcircaumlAuml|raquoiexclampfrac14Igrave(sup1frac12AacuteAumldraquoEumldnfrac14Agrave5Auml|Eacutesup1eacute~AumldcedilIgraveNtildeAring~frac12frac14Aacutesup1Auml|raquoSaIuml poundUodUp4Pl|oqiexcloshyiUrsldrRtcoPl|sect=U~tc ordfenot iquest uacutedivide4yEqE^ Iumlfefrac14cedil4frac14ordm|sup1Auml|AElig5iquestoNtildeIumlfrac14draquo~EcircIacuteszligyIuml]THORNampAtildecedilsup1Agrave4Icirc~AtildeJ] uacute4^z^J^ iquest`s[Atilde5AumlUEcircAtildeAEligwsup1Agravefrac14AgraveAacutesup1AcircnAtildeFcedilAtilde5ordmdsup1Auml|raquo~AElig$OgraveregAumldcedil0Igrave(AumldAacutesup1Auml|raquoTAtilde5AEligqAacutesup1Igravefrac14Aacutesup1Aumldraquofrac14draquoiEcircAacutewcedil4frac14dAgrave4UgraveUsup1raquoordmAaIumligraveiacuteraquoS] x4rv p ildrRtcodil|-ov pwv P4vFodOslashodshyiUrv paumlumltutco Iumleh=AumldcedilwOgraveregAringgt[cedilAtilde5Atilde5Agrave5Atilde|Iumlfefrac14AacuteAtilde5Aringicirc]iquestatilde]Iuml] dividedugravedugrave|ugrave iquestpound`currenatildeOuml~frac14Aacutesup1frac14dfrac12AEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoTAumldOgrave=Agrave5Auml|frac12Aumlcedilysup1Igravefrac14ordm|Atilde5AEligampfrac14dAgrave5Agrave5Aumlcedil4Ecircsup1raquo~ordmAacuteAumlUacuteaacuteTHORNaringOgraveregAumldcedilIgravefrac14dfrac12currenEumlsup1AEligwIgraveaIumlyigraveraquo13] x4~rv p4PlrRtcodPld=od5v pv i vodododpFtu pwl4UtcldPx4shyl not vysectpqo v tu not Iumlatildefrac14dsup1raquoLAacute UumleAacutesup1Atilderaquo~raquo~Atildediquestieacutecedil4frac14raquo~Agrave5AtildedIumlfcedilAtildeAgrave5sup1Auml|AEligwAumliquesteacute=IumlEgravefrac14raquoiEcirc aacuteIacuteIumlcurrenZEgravefrac14cedilfrac12frac14dAring~EcircS] dividedugrave|ugraveUuacute iquest` Z-EumliacuteatildeUOuml~frac12sup1raquo~Atildeaumlfrac14dAgrave Aacutesup1Acirc|AtildeOtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAEligOgraveregAumldcedilOgraveRfrac14AEligqAacuteAcircUsup1EcircAtilde5AumltimesAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIumlOacuteigraveraquo13] x4rv p ildrRtcodil|od5v pv P4vaeligod x4shy(l not vUacutesectpqo4v 4tu not IumlETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1Riquest[cedilAtilde5Atilde5Agrave5Atilde|Iuml

szligAumldraquoOgraveufrac14cedil4EcirciquestszligyIuml] uacute_^J^q iquest` szlig9Atilde5ordmdsup1AumldraquoEumlsEacuteifrac14AEligwAtildeEcircFAEligqAacutewcedil4frac14ZAacuteAtilde5ordm|sup1Atilde5AEligeOgraveuAumlcedil-frac14dAgraveAacutesup1AcircnAtildeEgraveAgraveAuml|raquoLAacuteAuml|AringcedilIgrave(AumlUEcircAtilde5frac12AElig_aIuml x4~rv p4PldrRtcoPl|poundUodUp il|WoqodshyiUrv paumlumltutco I v dividezw iquest divideddividez^+yUdivide uacute Iuml

atildefrac14Igrave(AEligwAuml|raquoiquestzhIumliquestzIumlzZ=frac12frac14raquo~AgraveEumleacuteAtildecedil4frac14AringiEcirciquestJ[NtildeIumldagraveAringEacutePAtildecedilwAacuteiquestfrac14draquo~Ecirc dIumlJregPAtildecedilAring~Eacutesup1frac14I] dividedugravedugrave|ugrave iquest` agrave frac12Atilde5Acirc|Atilde5frac12UAEligwAtildeAacuteIgrave(AumlUEcircAtilde5frac12nOgraveregAumldcedilsup1Igravefrac14ordm|AtildeAgrave5frac12frac14dAEligwAEligwsup1siAgravefrac14ZAacutesup1Auml|raquo13aIuml x4~rv p4PlrRtcodPldpoundUodUp4Pl|BoqNtildeodshyiUrv pOtildeumltreg4tRod shy v Ew iquest uacute r4y~uacute4^Er Iuml

atildefrac14raquo~ordmdCcedilgsup1raquoAtilde|iquest9atilde]IumlEgravefrac14draquo~Ecircszlig0IumlampiexclAumldcedilraquoAtilde v Atilde5EcircAElig5Iuml w ] uacute_^J^ Uiquest ~vIacuteo|odUpaumltushyl not vipqo4v 4tu not ldP|m4oo4uml Iumlh=Icircifrac14dOumlIgravefrac14draquodegmacriexclampfrac14dfrac12frac12RIumlatildeAtildeAacuteIcircsup1frac14draquoiquestdIumlplusmn] uacute4^z^|ugrave iquestU` oAringIgrave(Atildecedilsup1Agravefrac14dfrac12Ufrac14frac12ordm|Aumldcedilsup1currenAacuteIcircIgrave(AEligWOgraveuAumldcedilOumlcedilAuml|Oumlifrac14ordmnfrac14ZAacutesup1raquoordmsup1raquoLAacuteAtildecedilwOgraveRfrac14Agrave5Atilde5AElig_]Jiexclampfrac14dIgrave(sup1frac12currenAacuteAuml|raquoEumldnfrac14dAgrave5AumldEacute~sup1

AtildeecircLAringifrac14Aacutesup1Aumldraquo~AElig-frac14draquoiEcircAgraveAuml|raquo~AEligwAtilde cedilAcirc|frac14ZAacutesup1Aumldraquo(frac12frac14CcedilgAElig_aIuml poundUodUp4Pl|]oqEgraveyen$t lv pv rRtcl| voshyv rRp~ iquest uacute4Uuacutey~uacute x uacute IumlatildeAtildeAacuteIcircsup1frac14draquoiquestAdIuml] uacute4^J^ xiquest kWvndvB]v r j v rregod IumlcurrenhEgravefrac14dIgraveNtildeEacutecedilsup1EcircordmdAtilderaquosup1AcircPIumlAfecedilAtilde5AEligwAElig5Iumlatildesup1Ecirc~Ecircsup1ecircUsup1Riquest4bIumliquest_yenNtildeIumlBfrac14Aring~Ocirc5sup1Gsup2AtildecedilAtilde|iquestagraveyIumlETHWfrac14draquoraquo~Atilde5raquoUEacute~frac14dAring~IgraveUacuteiquest5frac14draquo~EcircNtildeatildePIumlregPAring~Agrave4UgravenAtildecedil4] uacute_^J^ xUiquestE`currenagravegcedilAtildefrac149frac14draquoiEcirc$frac12Atilde5raquoordmdAacuteIcircyIgrave(sup1raquoEuml

sup1Igrave(sup1Ocirc5sup1raquoordm sup3iAumlCcedilgAEliggOgraveuAumldcedilAEligwIcircifrac14OumlPAtildeyAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo13aIuml xQ|||~pwl~ lnrRtcodoOtildex4shyl not vsectEgravepwo4v tu notordf v Ew iquest qEz+yqzqE Iumlyen=AtildeOcirc5Ocirc5sup1RiquestagraveyIumliquest5agrave0Iuml5ETHEgraveAEligfrac14dsup1Riquestfrac14draquo~Ecirc$agrave0Iuml Ucirc sup1frac12frac12AEligwUgraveLfrac34] uacute4^z^J^ iquestJ` agraveaeligAEligqAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12Ufrac14dOumlOumlcedilAumlnfrac14Agrave IcircampAacuteAumlgAEligwraquo~frac14dUgravenAtilde5AElig]OgraveuAumlcedilWEacutesup1Igrave(AumlUEcircfrac14dfrac12frac14draquoiEcircAacutewcedilsup1Igrave(AumlUEcirc~frac14frac12isup1Igravefrac14dordmdAtildecedilwfrac34aIumligraveraquo13] x4rv p ildrRtcodil|eodv pwv P4vyodx4shyl not vgsectpqo v tu not IumlAb$AumldEacutePAtildednfrac14dOuml~frac14draquoIumlreg]IcircUAringiquest]atilde]Iumlfrac14raquoiEcircaumlagrave0Iumleyen=Aringsup1frac12frac12AtildeJ] uacute_^J^ xUiquestpound` szlig9Atilde5ordmdsup1AumldraquotimesAgrave5AumldIgrave(OumlPAtildeAacutesup1currenAacutesup1Auml|raquo13]iAring~raquo~sup1currenOgraveYacutefrac34sup1raquoordmiexclAEligwraquo~frac14dUgravenAtilde5AElig5iquestPcedilAtildeordm|sup1Auml|raquoTordmdcedilAumlCcedilgsup1raquo~ordmiquestfrac14draquoiEcircZEgravefrac145frac34LAtilde5AEligacute|aacuteTHORNOgraveregAumldcedilIgraveFAring~frac12currenAacutesup1Eacuteifrac14raquoiEcirc sup1Igravefrac14ordm|AtildeTAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo13aIuml xQ|||micro~pwld lnrRtcodtimesosect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4v Icent iquesteJ q+yU^dugrave|ugrave Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfo

i $amp)(+-)013021+345627893lt=gt9A6CBfrac12OcircacuteIshyNT

frac12OcircacuteIltNTpara frac12frac34EMeJaumlQcYZYZjJUacuteQsY H [ ^QEgraveJLhZJUO H QcN H J H MeJordfXiacute[]fcfR[WQcO[Oslash^e[]ZaringNPQsOXiacutejOb H QR[]ONPfdaringocirc|adOuml times jOcircaacute uuml times a2atildeltszligaumlgtszliglOuml times j atilde auml

G QsObnJ H MJeumlYZJ H [SXIacuteNPfcfUacute^e[]ZaringNPQsOYMNPY Oe[ H N Y H hjb H jhZJ`[SXUPJUb H [PhQcNPfOtildeYZKNPbnJSefRJ H jYZ N`PJ H MeJeumlhZJ[]QR[]OYJUP[]fVUPJ H MehZ[]j[]M NrXqNSZaringQcfVm [SX H hNPOYYX[PhlZ N H QR[]OYa(|aagraveszlig jj emiddot iacuteaumlYlZOslash[[ H MaNPO^ centQ ~JUb H QVUPJS^ not [PhNOslashKEgrave[]QcO H $ aacute atildeshyszligaumlN eFWFJTOe[ H JSaring$ aagravej|aacutemiddot|aagraveszlig $ j WiexclQ H M |a s szlig $ jaacute $OumlcopytimesaagravejOcircaacutemiddot|aagraveszliglOumlutimesdj WiexclQ H M |a s szliglOumlcopytimesAjOcircaacuteAumlOumlutimes9J H jY H MeJUO^JOeJ H MeJordfUPJUfR[WbLQ H moUPJUb H [PhdY JUfs^kfrac12 YZjbM H MN H aringfrac12sup1aagraveszlig $ aagravejj|aacute aelig |aelig agrave aagraveszlig $ j YlaquoXiacuteNiharingNPY H MeJ bn[]ZOslashKj H N H QR[]O[SX H MeJ ^eJLhQU~N H QVUPJ QcYOslashbn[]ObnJLhOeJU^OeWFJNihZJQcOWVH JLhZJUY H JU^ QcO YYZaringNPfcfOtilde^JX[PhlZ N H QR[]OY^ J H MBjYJkWKNPO^ H MeJ H hNPOYX[PhZaringN H QR[]ONPbLbn[Ph^QcO[ H [hdY H [Ph^eJLh NmWfR[PhyacuteXiacute[PhlZtimesjfcNaring|aagraveszlig $ jpoundaacuteAElig|a s szlig $ j agrave aelig |aelig agrave a s szlig $ jaacute $ ragrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacute frac14 frac14 a s szlig $ j^ J H MeJUOQcO H hZ[W^jbnJ H MehZJLJgZ NPQcO^eJOQ H QR[]OYaringf^QMeJg0jfRJLhQcNPO^eJLhQU~N H QVUPJOtilde[SXocirc|adOuml times jordfaqQcO H MeJIacute^QRhZJUb H QR[]O[SXcedilfrac12jaring ocirc|adOumlcopytimesszlig_frac12jOcircaacutefcQZUcedil iacute ocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave admacrfj ^QMeJgZaringN H JLhQsNPfg^eJLhQVUiN H QVUPJOtilde[SXuumlStimesYa $ szliglOumlcopytimes)jaringsup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j|aacutefcQZUcedil iacute uumlStimesa $ ragrave3frac12ba $ jszliglOumlutimes agrave3frac12sup1a $ jj uuml]timesa $ szliglOumlcopytimesdjagrave admacr j^QMeJaumlYZMNiKEgraveJOtilde^eJLhQU~N H QVUPJOtilde[SXOcircuuml]timesa $ szliglOumlutimes)jaring

uumlnotraquotimes a $ szliglOumlcopytimesUcircszlig_frac12 jaacutefcQZUcedil iacute uumlStimesYa $ szliglOumlutimesragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave admacrS]j

uumlnyacutenthornnyumll13YSordmY_Fordfy

yenKbrvbarsect =4 acirc $ hq centUWQR[]jYZfVmSe-centmaJkBKNPO^QcO[ admacr jUacuteNPbLbn[Ph^QcOF[ H [hdY H [Phd^eJLhordfNmBfR[PhordfXiacute[PhlZtimesjfcNeWFJaumlMNUPJSaring sup1uumlStimesYa $ szliglOumlcopytimesUcircszlig_frac12 jaacuteAumluumlnotraquotimes a $ szliglOumlcopytimesszlig_frac12jhuumlStimesa $ szliglOumlcopytimes)j frac12sup1a $ j admacrj J H MeJUOabn[]ZOslashK-j H JZOslash[PhJaumlKhZJUbLQcYZJUfVm H MJ0jfRJLhQcNPO ^eJLhdQVU~N H QUPJauml[SXcopyocirc|adOumlcopytimesdj^ JMNUPJSaringocircOcircadOumlutimesaagravejj ocircOcircadOumlutimes)jagrave aacute fagrave = thorn yuml uuml times a $ aagravejszliglOuml times aagravejj $ uuml times a $ szliglOuml times j $ FH admacrSmacr]j5O H MJohY H QcO H J[PhdNPfdeltWFJZaringN`PJ H MeJU~NihdQcNicentfRJ bMNPO[PJ $ aagravejaacute $ agrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacuteethicirc7a2atildeshyszligaumlFjszligicirc cent a2atildeltszligaumlj eWMQcbdM[]QVUPJUYaring thorn yuml uuml]timesYa $ aagravejszliglOumlcopytimesYaagravejj $ aacute admacrS]j

5 uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlutimes agrave3frac12sup1a $ jjlt^eJ H ocirc a $ jlt $WMJLhZJocirc a $ jQcY H MeJgXiacute[]fcfR[WQcO[aringSNPbn[PcentQcNPOtZaringN H hdQkKaring

ocirc a $ jaacute oacute fcedilxagrave frac14 iacute oslashfrac14Uordm agrave frac14 iacute oslashfrac14 ugraveagrave frac14 iacute acircfrac14ordm fcedil agrave frac14 iacute acircfrac14 ugrave ocircNPO^ YZ[eFWNtildeJIacuteMNUPJSaring

^eJ H ocirc a $ jOcircaacute fUragravee^QVUKafrac34frac12sup1a $ jjragrave cent ^eJ H amacr frac12sup1a $ jjMJUOWNtildeJauml[Pcent H NPQcOOaring

fsQZcedil iacute ^eJ H ocirc a $ j fagrave aacute ^QVUKafrac34frac12sup1a $ jj admacr]zSjMJJBjN H QR[]OxadmacrSmacr]j H MeJUOcent=JUbn[]ZaringJUYaringocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave aacute fagrave middot uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jjlt 13raquo ocirc a $ jlt $ uumlStimesa $ szliglOumlcopytimesAj $ admacrSi]j JTbLNPO`YZjeKKEgrave[]YJ H MN H ^eJ H aocirc a $ jjfrac14aacute sfrac12 agrave frac12 $ ^ JZaringNm H MeJUO H N`PJ^eJ H aocirc a $ jjfrac34 s eNPO^ WNtildeJ ^eJUPJUfR[PK H MeJaJkWKhZJUYYZQR[]OadmacrSi]j NPYoX[]fsfR[WQsO[centmNP^^QcO[aringN H JLhZ QcO H MeJIacuteYZJUbn[]O^aQcO H J[PhNPfltWMQcfcJaumlYZjeKKhJUYZYZQcO[ H MeJtimesYZNSZOslashJ H JLhlZQcO H MJordfhY H QcO H J[PhNPfdaring ocirc|adOumlcopytimesYaagravejj ocirc|adOumlcopytimes)jagrave aacuteegraveOtildef1rOtilde cent admacrSh]j

uumlnyacutenthornnyumll13YSordmY_Fordf

s $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJSaring

Otilde aacute uuml]timesa $ ragrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave ^eJ H aocirc a $ jj $ ad s jOtilde cent aacute uuml]timesa $ szliglOumlcopytimesdj ^eJ H aocirc a $ jj fagrave $ adfj

9J H jY_ZaringN`PJordmagrave H JUO^ H [WNih^Y s ^curreniquestYZQcO[frac34admacrjiexclNPO^JOQ H Qc[]OYadmacr e macrS]jeWFJ[PJ H aringfcQZUcedil iacute Otilde aacute sup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j $

aacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ uuml times a $ szliglOuml times j frac12sup1a $ j $fcQZUcedil iacute Otilde cent aacute uuml]timesa $ szliglOumlcopytimesdj^QVUKafrac34frac12 j $

O^ Y[Xiacute[Ph H MeJgNtildejfRJLhQsNPO ^eJLhQVUiN H QVUPJSeWFJgO^Oaring ocirc|adOuml times szlig_frac12jumlaacuteyacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ amacrreguumlStimesYa $ szliglOumlcopytimes)j frac12sup1a $ j7 uuml]timesYa $ szliglOumlcopytimes)j^QVUKafrac34frac12sup1a $ jjj $aacute uumlnotraquotimes a $ szliglOuml times szlig_frac12j $ ^QVUKaduuml times frac12j $ ad j

MeJUO NiKKfVmWQcO[ H MJ hJLJUOWVAQRJZ NPOO H MeJL[PhZJZQcO ad jeWNtildeJ5ONPfcfmtimes[Pcent H NPQcOOaring ocirc|adOumlcopytimesszlig_frac12jOcircaacute uuml raquotimes a $ szliglOumlcopytimesUcircszlig_frac12j $ uacutefrac14 5 uuml]timesYafrac34frac12 eacuteAgraveiquestsup1AacuteAtildeAcircj THORN adS]jWMJLhZJ5eacuteAgraveiquestsup1AacuteAtildeAcircyQcY H MeJUacutejOQ H QcOOgraveWNih^ Oe[PhlZaringNPf H [ aelig OumlcopytimesUcirc^MeJ_NtildejfRJLhQcNPO ^eJLhQVUiN H QVUPJQcY(O[ H JU^ ocirc raquo aagravej(QcO H MeJaumlKNiKEgraveJLhNPO^ H MeJaumlYZMNiKEgraveJauml^eJLhQU~N H QVUPJyuuml raquotimes QcY(Oe[ H JU^ frac14 frac14 ^iquest acutemicrosup1cedilFLft not [PhyYQZOslashKfcQsbLQ H mSeWNtildeJ(bM[[]YJ H MeJcopyXiacute[]fcfR[WQcO[_U~NihQsN H QR[]OaeligQcO H MeJKhZ[B[SXaring$ aagravejaacute $ agrave3frac12sup1a $ j^MJiexclKh[[SXZaringNm NPfcYZ[IacutecentEgraveJiexcl^JUPJUfR[PKEgraveJU^WiexclQ H MZaring[PhZJ_[PJUOJLhNPfUiNihQcN H QR[]OYFYjbM NPYaring $ aagravejaacuteAacuteAgravea $ szligYagravejWQ H MAcircAgrave`NOslashYYZOslash[B[ H MXiacutejOb H QR[]ONPO^AcircAgravea szligYagravejcentQ ~5JUb H QVUPJS^

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ ffrac12OcircacuteIshyNT AcircE J(MNUPJ H [Otildebn[]ZOslashK-j H J H MJNtilde^QEgraveJLhZJUO HH JLhZaringY9[SXQa macr]j9QsOauml[Ph^eJLh H [Uacute[Pcent H NPQcO H MeJ

JUP[]fcj H QR[]OJBjN H QR[]O[SX H MeJ NPb H QUPJ bn[]O H []jehX[Ph H MeJ ^JUYZbnhQRK H [PhdYaumlcentNPYJU^Oacute[]OH MeJ(bn[U~NihQsNPObnJ ZaringN H hQVktimes^eJ H JLhlZ QcONPO H a2Ograveh]j^OgraveMeJ(bn[]ZOslashKj H N H QR[]OaringQcYampKEgraveJLhYXiacute[PhlZOslashJU^Xiacute[Ph H MeJIacute^eJUYZbnhQRK H [Ph_uuml thorn timesOslash yuml ^ q centUWQR[]jYZfmSeN YZQZ QcfcNihbn[]ZOslashKj H N H QR[]OabLNPOacent=JIacute^e[]OeJXiacute[PhOcircuuml thorn UgraveUcircUacuteUuml yuml ^ JiexclbLNPOaeligJkBKhJUYZYOcircuuml thorn timesOslash yuml NPYyNUacutebn[]ZTcent-QcON H QR[]Oaelig[SXgtXiacutejOb H QR[]OYamp^eJLKEgraveJUO^QcOF[[]O H MJOtildehZJ[]QR[]OwOuml timesOslash aring

uumlgtthorn times Oslash yuml a2atildeltszligaumlgtszligYagravejaacute`Ograveoacute m thorn timesOslash yumlaIgraveagrave thorn timesOslash yumlAtilde j cent ocirc adjWMJLhZJordmaacuteAuml85eWiexclQ H MAring8 H MeJordfXqjOb H Qc[]O QcO H h[B^jbnJU^ QcOpounda2Ograveh]je-NPO^aringm thorn timesOslash yuml aacute agrave thorn timesOslash yuml agrave thorn timesOslash yumlcent agrave thorn timesOslash yuml agrave thorn timesOslash yumlAElig agrave thorn times Oslash yumlCcedil agrave thorn timesOslash yumlEgrave agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlEgrave j cent agrave thorn times Oslash yumlcent aIgraveagrave thorn timesOslash yumlCcedil j cent agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlAElig j centWQ H MOaring EFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFH

agrave thorn timesOslash yuml aacute w$ thorn yuml aOtilde S times Oslash j cent atilde aumlagrave thorn timesOslash yumlcent aacute w$ thorn yuml aOtildeOgravecent Scenttimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yuml aacute w$ thorn yuml aOtildeS Stimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yumlAElig aacute w$ thorn yuml aOtilde S times Oslash jaOtildeOgravecent ScenttimesOslash j atilde aumlagrave thorn timesOslash yumlCcedil aacute w$ thorn yuml aOtilde S times Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlEgrave aacute w$ thorn yuml aOtilde cent S centtimes Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlAtilde aacute w$ thorn yuml atilde auml O^ Y[ H MJordfXiacutejOb H QR[]OY aelig thorn timesOslash yumlauml MNUPJ H MeJgXiacute[]fcfR[WiexclQcO[aeligJkBKhZJUYZYZQR[]OYaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

aelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlcent aacute aOtilde cent S centtimesOslash j centaelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlAElig aacute aOtilde S timesOslash jaOtilde cent S centtimesOslash jaelig thorn times Oslash yumlCcedil aacute aOtilde S timesOslash jaOtilde S timesOslash jaelig thorn times Oslash yumlEgrave aacute aOtildeOgravecent ScenttimesOslash jaOtilde13 StimesOslash jaelig thorn times Oslash yumlAtilde aacutemiddotf

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBnot h[]Z H MeJUYJaumlJkWKhZJUYYZQR[]OYeWFJOtildeJUNPYZQcfm ^eJU^jbnJ H MN H aring

$ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde aumlregaacute sEacutefrac12poundEcirc iuml

J H MeJUO MNUPJ H [Tbn[]ZaringKj H J H MeJ H JLhlZaringY eacute thorn times Oslash yumlauml XiacutehZ[]Z H MeJJkWKhZJUYZYQR[]OYamp[SXagrave thorn timesOslash yumlauml eWMQcbM fRJUNP^Y H [aringEFFFFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFFFFH

eacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideoslash aacute w$ thorn yuml uacute ouml $ordfdivideacirc uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIgrave yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H a timesOslash jjeacute thorn timesOslash yumlcent aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideacirc

aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIcirc yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideEuml aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideacirc thorn thorn uacute ouml $_divideIuml yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yumlAElig aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIuml aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideEuml uacute ouml $ordfdivideIuml thorn uacute ouml $_divideIcirc uacute ouml $ordfdivideIgrave yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlCcedil aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIcirc aacute w$ thorn yuml cent thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideacirc uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlEgrave aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIgrave aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideoslash uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlAtilde aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIacute aacute w$ thorn yuml thorn +ETH ouml $_dividethorn uacute ouml $ordfdivideIacute yuml Iuml 8 raquo aq^J H a timesOslash jj

O^centmJkWKhZJUYZYZQsO[ H MeJbn[UiNihQcNPObnJZaringN H hQVkpoundWQ H M H MJregXqjOb H QR[]OYagrave thorn timesOslash yumlauml NPYXiacute[]fcfR[WQcO[aring

timesOslashlaquoaacute 1NtildeNtildeNtildeNtildeNtildeNtilde3uacute ouml $ordfdivideoslashuacute ouml $ordfdivideIacute uacute ouml $_divideIumluacute ouml $_divideIacute uacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIumluacute ouml $ordfdivideIacute uacute ouml $_divideacircuacute ouml $_divideIacute uacute ouml $ordfdivideIgraveuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacute uacute ouml $_divideIgraveuacute ouml $_divideIacute uacute ouml $ordfdivideEumluacute ouml $ordfdivideIacute

6OgraveOgraveOgraveOgraveOgraveOgrave7 J H MJUO^eJU^jbnJSaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

eacute thorn times Oslash yuml aacute a fj thorn yuml ^eJ H aDC Ptimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlcent aacute a fj thorn centcent yuml ^eJ H aDC centcenttimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yuml aacute a fj thorn curren yuml ^eJ H aDC 4times Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlAElig aacute a fj thorn cent yuml ^eJ H aDC centtimes Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlCcedil aacute a fj thorn curren yuml ^eJ H aDC times Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlEgrave aacute a fj thorn centcurren yuml ^eJ H aDCcent4times Oslash j48 raquo aq^eJ H a timesOslash jjeacute thorn times Oslash yumlAtilde aacute amp^eJ H a timesOslash j48 raquo aq^eJ H a timesOslash jj

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ SWMJLhZJC EBtimesOslash QcY H MeJgZaringN H hdQk ^eJU^jbnJU^Xh[]ZOacutetimesOslasharingcentm YZjeKKhZJUYZYZQcOF[ H MeJyuuml UumlON hZ[WNPO^ H MJ I UumlON bn[]fcjFZaringOO^]MeJbn[]ZOslashKj H N H Qc[]OordmX[Ph H MeJ^eJUYZbnhdQRK H [Ph|uuml thorn UgraveUcircUacuteUuml yuml QcYyYQZaringQcfcNihNPO^WFJ H MeJUOOslashMNUPJNPfcf H MeJ(JkWKhZJUYZYZQc[]OY H [aumlbn[]ZOslashKj H J H MeJJUP[]fcj H QR[]OaeligJjN H QR[]OXiacutehZ[]Z H MeJg[PJUOJLhNPfOXiacute[PhlZIacutejfcNta macr]j^gtMQcYcopy[]QVUPJUY H MeJTJUP[]fcj H QR[]O JBjN H QR[]Osup1admacr s j^

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBΩ out

Objects

Γ

inΩ

inΩ

Background Part

-t not Upv copy ETHEgraveIcircAtildeampAacuteiacuteCcedil=AumlFcedilAtilde5ordm|sup1Aumldraquo~AElig9AumldOgravefrac14raquoUacutesup1Igravefrac14dordm|Atilde

Ω

Ω out (τ)Ω

(τ)in

N

Γ(τ)

Ω

N

v

w

N

-t not Upv ETHEgraveIcircAtildeyEcircAumldIgravefrac14dsup1raquo~AEliggfrac14raquoiEcircAacuteIcircAtilde$AcircnAtilde5AgraveAacuteAumlcedilAEliggsup1raquoUAcircnAumldfrac12AcircnAtildeEcircsup1raquoiexclAacuteIcirc~Atilde$EcircAtildecedilsup1Acirc|frac14ZAacutesup1Aumldraquo

uumlnyacutenthornnyumll13YSordmY_F2ordf

yenKbrvbarsect =4 acirc $ Smacr

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 Atilde|IumligraveAacuteAtildecedil4frac14ZAacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvyzU eacuteWsup1ordm|AringcedilAtilde5AEligfrac14iquest Eacuteiquest AgraveJ]iUumlAcircnAumldfrac12AringAacutesup1Auml|raquoOtildeAumlOgraveeAacuteIcirc~Atildeyfrac14dAgrave Aacutesup1Acirc|Atilde0AgraveAuml|raquoLAacuteAuml|AringcedilIgravefrac14raquoifrac14ordm|AtildeEcircUacuteEacuteLfrac34AacuteIcirc~AtildefTHORN$Uuml v qzqwsup1raquo~Agrave5frac12AringiEcircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquoifrac14frac12ampAacuteAtildecedilIgrave(AElig5IumlgeacuteWsup1ordm|AringcedilAtilde5AEligOtildeEcirc]iquest Atildediquest Ograve] g sup1AEligwAringifrac14frac12sup1Ocirc5frac14Aacutesup1Auml|raquo`AumldOgrave0AacuteIcirc~AtildeTAgrave5AumldcedilwcedilAtilde5AEligwOumlPAumldraquoiEcircsup1raquoordmAcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 OgraveuAring~raquoAgraveAacutesup1Auml|raquosup1raquo~Agrave5frac12Aring~Ecircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquo~frac14dfrac12ampAacuteAtildecedilIgrave(AEligraquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirc EacutePAtildeAacuteiacuteCcedil=Atilde5Atilde5raquo ugrave frac14draquoiEcirc divide JUiquestAEligwAring~Agrave4IcircTAacuteIcirc~frac14Aacute$AacuteIcircAtilderaquo~Atilde5ordm|frac14Aacutesup1AcircnAtildeAcircdfrac14dfrac12AringAtilde5AElig0frac14cedilAtildefrac12AumlCcedilEgraveAtildecedilyAacuteIcirc~frac14draquo uacutedivide Uacutefrac14raquoiEcircaumlAacuteIcirc~AtildeOumlPAumldAEligwsup1Aacutesup1AcircnAtilde(Aumldraquo~Atilde5AEligyfrac14ZcedilAtilde(Icirc~sup1ordm|IcircAtildecedilAacuteIcircifrac14raquo uacuteZdivide Iuml

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

Ecirc]Iumligraveraquo~sup1currenAacutesup1frac14dfrac12BAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 Atilde|IumligraveAacuteAtilde cedil4frac14Aacutesup1Auml|raquo ugravedugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not Upv ucirc eacuteWsup1ordmdAringcedilAtilde5AEligtimesfrac14iquest Eacuteiquest AgraveJ]ampUumlAcirc|Auml|frac12AringAacutesup1Auml|raquoAumlOgrave(AacuteIcirc~Atildearingfrac14AgraveAacutesup1AcircnAtildeOslashAgrave5Auml|raquoLAacuteAumldAringcedilIacuteIgravefrac14draquoifrac14ordm|AtildeEcirc`EacuteUfrac34AacuteIcircAtildeOcircfTHORN$Uumlv q w iquestiexclCcedilgsup1currenAacuteIcirc~AumldAringAacuteAacuteIcirc~Atildefrac14dEcirc~Ecircsup1Aacutesup1Aumldraquoifrac14dfrac12TAacuteAtildecedilIgrave(AElig5IumliexcleacuteWsup1ordm|AringcedilAtildeAElig Ecirc]iquest Atildediquest Ograve] g sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo AumlOgraveaeligAacuteIcirc~AtildeAgraveAumldcedilwcedilAtildeEumlAEligwOumlPAuml|raquo~Ecircsup1raquo~ordm AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 OgraveregAring~raquo~Agrave Aacutesup1AumldraquoeumlCcedilgsup1currenAacuteIcirc~Auml|AringAacuteIacuteAacuteIcircAtilde frac14|Ecirc~Ecircsup1currenAacutesup1Aumldraquoifrac14frac12FAacuteAtildecedilIgrave(AElig v raquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirceumlAEligwAring~Agrave4Icirc AacuteIcirc~frac14AacuteIgravefrac14icirc vOOtilde wpOumldivide z w Iuml

uumlnyacutenthornnyumll13YSordmY_F2

S $amp)(+-)013021+345627893lt=gt9A6CB

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIumligravesAacuteAtildecedil4frac14Aacutesup1Aumldraquogt ugrave|ugrave AgravedIumlieacuteWsup1raquoifrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12Acirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 AtildedIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIumlieacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvtimesLg sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo(AumldOgravePAacuteIcirc~AtildeAtildeAcircnAuml|frac12AringAacutesup1AumldraquoAumldOgravePAacuteIcircAtildeEgraveAgrave5Auml|raquoLAacuteAumldAringcedil-frac14draquo~EcircNtildeAacuteIcirc~AtildeEgraveAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 v Ccedilgsup1AacuteIcircAuml|AringAacuteAacuteIcircAtildeEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircFAacuteAtilde cedilIgrave w OgraveregAumldcedilEgraveAacuteIcircAtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoAumlOgraveAacuteIcircAtilde9Ograveufrac14dAgrave5AtildeAring~AEligwsup1raquo~ordmyAacuteIcirc~Atilde9Agrave5AumlZAcirc|frac14Zcedilsup1frac14draquo~AgraveAtildeIgravefrac14Aacutewcedilsup1currenicirc]Iuml

frac14Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcircnAtilde EacuteIumligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 v AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde w Agrave|Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacutefrac34 v Acircdfrac14cedilsup1frac14draquoAgrave5Atilde w-t not Upv h=AumldIgrave(Oumlifrac14cedilsup1AEligwAumldraquoOtildeAumldOgraveAacuteIcirc~Atilde$sup1raquo~sup1currenAacutesup1frac14dfrac12eAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34iexclAgrave5Auml|Igrave(OumlAringAacuteAtildeEcircAringAEligwsup1raquo~ordmAacuteIcirc~Atilde$AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde0Igravefrac14Aacutewcedilsup1currenicircv iordmdAringcedilAtildeFEacute w AacuteAumliexclAacuteIcircAtildeAuml|raquoAtildeFAgrave5AumldIgrave(Ouml~AringAacuteAtildeEcircTAringAEligwsup1raquo~ordmiexclAacuteIcircAtildeFAcircdfrac14cedilsup1frac14draquoAgrave5Atilde v ~ordm|AringcedilAtildeFAgrave w OgraveregcedilAumldIgrave AacuteIcirc~AtildeNtildeAEligfrac14dIgrave(Atildesup1raquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcirc|Atilde v iordmdAringcedilAtilde$frac14 w Iuml

uumlnyacutenthornnyumll13YSordmY_F2_a

yenKbrvbarsect =4 acirc $ ]z

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv Oslash| THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5AtildeccediliacuteAtildecedilsup1UgraveUegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_o

Si $amp)(+-)013021+345627893lt=gt9A6CB

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv ordf THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5Atildeccedilqfrac14dUgraveUsup1currenfrac34LAumldegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_y

RR-0114-SJEHANpdf
  • wwwi3sunicefr
    • httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf
Page 11: LABORATOIRE INFORMATIQUE, SIGNAUX ET SYSTEMES DE …mh/RR/2001/liste-2001.pdf · 2002. 6. 27. · [Dir01] DIRAT L. “Outils pour des Mathématiques Interactives et Distribuées”

13 $ amp()+$-0123(4-5766-398( 1 lt=98ampgt8BA(0)CD ampE()gt+F)-0-amp=$8B98amp

GBHBIJLKMNPOQRJTSPJUMNPOWV4XFJUYZY[]ONPO^`_aQcbdMeJUfgXNihfcNPj^kBlnmodpqldrsodtupwvyx z|~B9iZ]nn pqodUrvFLv ke~tRo|v n|L zio UtclF9~rRt o| tuBpwldi4v vld~cmldp ldZP=tRz|U~tR v p QsfcfRJUY iexcljcent=JLh HkBlnmodpqldrsodtupwvFpoundcurren0]yenamptsv nod$brvbarv 9BiZPampUsect9lpwTumll| pqodvnncopynordf tc4v-vwLvwlaquo Bpwldi4vnot ldm4v p r=shyldrreg~Utc4v p

macrdegWplusmn5sup25sup3Zacuteimicro|sup2|para7middotcedilsup1ordm|sup1raquo~frac14dfrac12frac12currenfrac34Liquestefrac14dAgrave Aacutesup1Acirc|Atilde(Agrave5Auml|raquoLAacuteAuml|AringcedilAElig$CcedilEgraveAtildecedilAtilde(EacutePAumldAring~raquoiEcircfrac14cedilwfrac34UEumlsEacuteifrac14AEligwAtildeEcircIacuteIgrave(AtildeAacuteIcircAumlUEcircAElig5IumlETHEgraveIcirc~Atilde frac34TCcedil=AtildecedilAtildeEcirccedilsup1AcircnAtilde5raquoNtildeAacuteAumlZCcedilEgravefrac14cedil4EcircAElig=AacuteIcirc~AtildegAtildeEcircordm|Atilde5AEligEgraveAumlOgravefrac14draquosup1Igravefrac14dordm|AtildegOgraveregcedilAumldIgraveOacuteAacuteIcircAtildeIgrave(sup1raquosup1Igrave(sup1Ocircfrac14ZAacutesup1Auml|raquo(AumldOgravefrac14yAgravecedilsup1currenAacuteAtildecedilsup1Auml|raquo(Ccedilgsup1currenAacuteIcircAuml|raquo~frac12currenfrac34EacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircOtildeAacuteAtildecedilIgrave(AElig5IumlETHEgraveIcirc~Atilde(Igravefrac14sup1raquotimesOuml~AringcedilOumlPAuml|AEligwAtildeAumlOgraveEgravecedilAtilde5ordmdsup1AumldraquoEumlsEacuteifrac14AEligwAtildeEcircOslashfrac14dAgrave Aacutesup1Acirc|AtildeAgrave5Auml|raquoLAacuteAumldAringcedilAEligysup1AEligyAacuteAumliexclAacuteAumlIgravefrac14dUgravenAtilde9AacuteIcirc~Atildefrac14dAgraveAacutesup1AcircnAtilde$Agrave5AumldraquoLAacuteAuml|AringcedilgAtildeAcircnAuml|frac12AcircnAtildeampAringAEligwsup1raquo~ordmFsup1raquoOgraveuAumldcedilIgravefrac14ZAacutesup1Auml|raquoUacuteAumldraquoiexclAacuteIcirc~AtildecedilAtilde5ordm|sup1Auml|raquoAElig5iquestisup1raquoUacutefrac14dEcirc~Ecircsup1Aacutesup1AumldraquoiexclAacuteAumlNtildeAacuteIcircAtildeAgrave5frac12frac14dAEligwAEligwsup1Agravefrac14frac12WEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircsup1raquoOgraveregAumldcedilIgravefrac14Aacutesup1AumldraquoIuml

Ucirc Atilde$OumlcedilAumldOumlPAuml|AEligwAtildeyIcirc~Atilde cedilAtildeyfrac14ordm|Atilde5raquoAtildecedil4frac14dfrac12BUumlAringfrac12Atilde cedilsup1Yacutefrac14raquoUacuteOgraveregcedil4frac14Igrave(AtildeCcedilEgraveAumlcedilUgraveiexclOgraveuAumlcedilcedilAtildeordm|sup1Auml|raquoEumlEacute~frac14dAEligwAtildeEcircOtildefrac14AgraveAacutesup1AcircnAtildeyAgrave5Auml|raquoLAacuteAumldAringcedilAEligraquoifrac14Igrave(AtildeEcircIacuteTHORNampszligUumlagraveampaacuteOtildeacirc5atildePIuml Ucirc Atilde(sup1raquoLAacutewcedilAumlUEcircAringAgrave5Atildefrac14aumlordmdAtilde5raquo~Atilde cedil4frac14dfrac12EgraveAgravecedilsup1currenAacuteAtildecedilsup1Aumldraquoiquestesup1raquo~Agravefrac12Aring~Ecircsup1raquo~ordmaumlEacutePAumlAacuteIcirctimescedilAtilde5ordm|sup1AumldraquoEumlsEacuteifrac14AEligwAtildeEcircfrac14draquo~EcirctimesEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircTAacuteAtildecedilIgrave(AElig5iquestBCcedilgIcircAtildecedilAtildeAacuteIcircAtilde(sup1raquoOgraveuAumlcedilIgravefrac14Aacutesup1Auml|raquoaringAumldraquoaeligAacuteIcirc~Atilde(cedilAtilde5ordm|sup1Aumldraquo~AEligFsup1AEligNtildeAtilde5IgraveFEacutePAtildeEcircEcircAtildeEcircTsup1raquofrac14OgraveregAring~raquo~Agrave Aacutesup1AumldraquoIacuteraquo~frac14dIgrave(AtildeEcircccedilqEcircAtilde5AEligwAgravecedilsup1OumlAacuteAumlcedilegraveIumlBETHEgraveIcirc~AtildeAumlcedilsup1ordm|sup1raquoifrac14frac12sup1currenAacutefrac34aeligAumldOgrave-AacuteIcirc~sup1AEligampCcedilEgraveAumlcedilUgraveaumlsup1AEligampAacuteCcedilEgraveAumlOgraveuAuml|frac12Ecirc]IumlWeacuteWsup1currencedilAEligqAacutefrac12currenfrac34LiquestCcedil=AtildeOumlcedilAumldOumlPAuml|AEligwAtildeyAacuteAumlAringAEligwAtildeNtildeAEligwIcirc~frac14dOumlPAtilde0Auml|OumlAacutesup1Igrave(sup1Ocircfrac14ZAacutesup1Auml|raquoaumlOumlcedilsup1raquo~Agravesup1Oumlfrac12Atilde5AEligAacuteAumlAgrave5AumldIgrave(Ouml~AringAacuteAtildeampAacuteIcircAtildeNtildeAtildeAcircnAuml|frac12AringAacutesup1AumldraquoTAtilde5ecircUAring~frac14Aacutesup1Auml|raquoOtildeAumlOgraveAacuteIcirc~Atilde9frac14dAgrave Aacutesup1Acirc|AtildeAgrave5AumldraquoLAacuteAuml|AringcedilAacuteIcircifrac14ZAacute=Ccedilgsup1frac12frac12PIgravefrac14dUgravenAtildegsup1currenAacute-Atilde5AcircnAuml|frac12AcircnAtildefrac14dAEligOgraveRfrac14AEligqAacutegfrac14dAElig-OumlPAuml|AEligwAEligwsup1Eacute~frac12AtildeAacuteAumlCcedilEgravefrac14cedil4EcircAEligEgravefrac14yIgrave(sup1raquosup1IgraveNtildeAring~IgraveeumlAumlOgraveAacuteIcirc~AtildeAgravecedilsup1currenAacuteAtildecedilsup1Auml|raquoIumliatildeAtildeAgrave5Auml|raquo~Ecircfrac12currenfrac34LiquestLCcedilEgraveAtildeampAacute4frac14UgravenAtildesup1raquoLAacuteAumlfrac14Agrave5Agrave5Auml|AringraquoLAacuteAacuteIcirc~AtildeampAcircdfrac14cedilsup1frac14Aacutesup1AumldraquoAumldOgraveBAacuteIcirc~Atilde$EcircAtilde5AEligwAgravecedilsup1OumlAacuteAumlcedilAEliggEcircAringcedilsup1raquoordmAacuteIcirc~Atilde$OumlcedilAuml|Oumlifrac14ordmnfrac14ZAacutesup1AumldraquoaumlAumldOgraveAacuteIcirc~AtildeyAgrave5AringcedilAcircnAtilde|IumligraveiacuteraquoiEcircAtilde5AtildeEcirc]iquestPfrac14(EcircAtildeAEligwAgravecedilsup1OumlAacuteAumldcedilIgravefrac145frac34EacutePAtildeyordmdfrac12AumldEacuteifrac14frac12frac12currenfrac34aumlfrac14ZAacutewAacute4frac14dAgrave4Icirc~AtildeEcircAacuteAumlAacuteIcircAtildecedilAtilde5ordm|sup1AumldraquoFfrac14raquoiEcircAacuteIcircUAring~AElig5iquestPccedilscedilAtilde5ordm|sup1AumldraquoEumlEcircAtilde5OumlPAtilderaquoiEcircAtilderaquoUAacuteegraveIumlZigraveAacuteIcircifrac14Ouml~OumlPAtilde5raquoAEligCcedilgIcirc~Atilderaquo0AEligqAacute4frac14ZAacutesup1AEligqAacutesup1Agrave5frac14dfrac12LOgraveuAtildefrac14ZAacuteAringcedilAtilde5AEligBAumldOgrave~frac14gcedilAtilde5ordmdsup1Auml|raquoiquestfrac12sup1Ugrave|AtildeFOgraveuAumlcedilFAtildeicircfrac14Igrave(Ouml~frac12AtildeNtildeAacuteIcircAtilde(Igrave(Atildefrac14draquoTAumldcedilyAacuteIcirc~AtildeFAcirc|frac14Zcedilsup1Yacutefrac14raquo~Agrave5Atilde(AumlOgrave9frac14iexclcedilAtilde5ordmdsup1AumldraquoiquestBfrac14cedilAtilde(AEligwAtilde5frac12Atilde5Agrave AacuteAtildeEcircOslashfrac14dAElig0EcircAtildeAEligwAgravecedilsup1OumlAacuteAumldcedilAElig5IumlUcirc AtildeAEligwIcircAumlCcedilAacuteIcirc~frac14AacuteyAacuteIcirc~AtildeEcircAtilde5OumlPAtilde5raquoiEcircAtilde5raquo~AgraveAtilde(AumldOgraveAacuteIcirc~AtildeEcircAtilde5AEligwAgravecedilsup1OumlAacuteAumlcedilAEligNtildeAumldraquotimesAacuteIcirc~AtildecedilAtildeordm|sup1Auml|raquoOslashsup1raquoiEcircAring~Agrave5AtildeAEligNtildefrac14dEcirc~Ecircsup1Aacutesup1Aumldraquoifrac14dfrac12AacuteAtildecedilIgrave(AElig=sup1raquoAacuteIcirc~AtildeAtilde5AcircnAuml|frac12AringAacutesup1AumldraquoAtildeecircLAring~frac14Aacutesup1Auml|raquoAumldOgraveAacuteIcirc~Atildeampfrac14AgraveAacutesup1AcircnAtildeampAgrave5AumldraquoLAacuteAuml|Aringcedil=AacuteIcircifrac14AacuteEgraveIcircifrac14AcircnAtilderaquoAumldAacuteEacutePAtildeAtilde5raquoiexclOumlcedilAtilde5AcircUsup1Auml|Aring~AEligwfrac12currenfrac34Agrave5Auml|Igrave(OumlAringAacuteAtildeEcirc]IumlTHORNampszligUumlagraveampaacuteOtildeacircatildeIacuteordm|sup1AcircnAtilde5AEligFfrac14draquoaeligAtilde5frac14dAEligqfrac34aeligCcedilEgravefrac14frac34TAacuteAumlUacuteAacute4frac14dUgrave|AtildeAEligwAringAgrave Icircaeligfrac14OtildeEcircAtilde5OumlPAtilde5raquo~EcircAtilde5raquoAgrave5Atilde(sup1raquoLAacuteAumlaumlfrac14dAgrave5Agrave5AumldAring~raquoLAacutefrac14draquo~EcircAacuteAumlAgrave5AumldIgrave(Ouml~AringAacuteAtildeAacuteIcirc~AtildecedilAtilde5AEligwAring~frac12currenAacutesup1raquo~ordmfrac14dEcirc~Ecircsup1currenAacutesup1Auml|raquo~frac14dfrac12]AacuteAtildecedilIgrave(AElig5Iuml

UumlicircOumlPAtildecedilsup1Igrave(Atilde5raquoLAacute4frac14dfrac12LcedilAtilde5AEligwAringfrac12currenAacuteAElig-OumlPAumldsup1raquoLAacute-Auml|AringAacuteAacuteIcircAtildesup1Igrave(OumlPAumldcedilwAacute4frac14draquoAgrave5AtildeAumldOgravePAacuteIcircAtildegfrac14|EcircEcircsup1currenAacutesup1Auml|raquoifrac14frac12AacuteAtildecedilIgrave(AEligeAacuteAumlcedilAtilde5frac14dAgrave4Icircfrac14AacutewcedilAring~Atilde-Igrave(sup1raquosup1IgraveFAring~IgraveAumlOgraveiAacuteIcirc~Atilde-Agravecedilsup1currenAacuteAtildecedilsup1Auml|raquo(frac14raquoiEcircyAEligwAumlAacuteAumlAgraveAuml|raquoUAcircnAtildecedilordmdAtildeEgraveAuml|raquoNtildefrac14dAgrave5AgraveAringcedil4frac14AacuteAtildeEgravecedilAtildeAEligwAring~frac12currenAacuteAElig5IumldETHEgraveIcirc~AtildeEgraveAgrave5AumlZAcircdfrac14cedilsup1frac14draquoAgrave5AtildeIgravefrac14Aacutewcedilsup1currenicirc0EcircAtilde AacuteAtildecedilIgrave(sup1raquoifrac14draquoLAacutefrac14Ouml~OumlPAtildefrac14ZcedilAEligeAacuteAumlEacutePAtildefrac14Acirc|Atildecedilwfrac34$cedilAtilde5frac12Atilde5Acircdfrac14draquoLAacuteeAacuteAumlLAuml|frac12UOgraveuAumlcedil-IcircAuml|Igrave(Aumldordm|Atilde5raquoAtilde5Auml|AringAEligeAgrave5Auml|frac12AumldcedilcedilAtilde5ordmdsup1Aumldraquo~AEligAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquoIumlagrave9AEligampfrac14raquoIacuteAtildeicircfrac14Igrave(Ouml~frac12Atilde|iquestPsup1currenAacute$Icirc~frac14dAEligampEacutePAtilde5AtilderaquoIacuteAEligwAringAgrave5Agrave5Atilde5AEligwAEligqOgraveregAring~frac12frac12currenfrac34Tfrac14dOuml~Oumlfrac12sup1Atilde5EcircaumlAacuteAumlOgraveRfrac14Agrave5Atilde(EcircAtilde AacuteAtilde5AgraveAacutesup1Auml|raquoTsup1raquocedilAtildefrac14dfrac12AcircUsup1EcircAtilde5AumlAEligwAtilde5ecircUAringAtilde5raquo~AgraveAtilde5AElig5Iuml

iumlethUntildeograve0oacute sup3ocircWplusmn|otildeszligAtildeordm|sup1Auml|raquoEumlEacute~frac14dAEligwAtildeEcircaringfrac14AgraveAacutesup1AcircnAtildeiexclAgraveAuml|raquoLAacuteAuml|AringcedilAElig5iquestAEligwIcircifrac14dOumlPAtildeiexclAuml|OumlAacutesup1Igrave(sup1Ocircfrac14ZAacutesup1Auml|raquoiquestWAring~raquo~AEligwAringOumlPAtildecedilAcircUsup1AEligwAtildeEcircOslashAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoiquestUOgraveRfrac14dAgraveAtildeyEcircAtildeAacuteAtilde5Agrave Aacutesup1Aumldraquoiquest~Agrave5AumlZAcirc|frac14Zcedilsup1Yacutefrac14raquo~Agrave5Atilde$Igravefrac14ZAacutewcedilsup1currenicircEcircAtildeAacuteAtildecedilIgrave(sup1raquoifrac14raquoLAacuteIuml

Agraveoumloslashdividedugrave|ugraveUuacute 9v vwldpq4Uacute9vop r-g nncopy copyucirc x z|iB9aumlio UtclF9~rRt o| tug]pwldi v

uumlnyacute|thornLyuml13

$amp)(+-)013021+345627893lt=gt9A6CBDFEHGIKJLMONQPltRSJT2MgtI

b H QVUPJOslashbn[]O H []jhYOtildeNihZJaeligKEgrave[WFJLhYXiacutejf H [B[]fcY5Xiacute[PhUacuteQCZaringN[PJOslashNPO^UBQc^JL[YZJ[]ZOslashJUO H N H Qc[]OO^G QsObnJ H MeJ[PhQV[]QcONPf_WF[PhY` []O YZON`PJUYbacaumlNPYZYaJ H NPfd^VegfhSiSi]jeiexclNPO Jk H JUOYQVUPJhZJUYZJUNihbMMNPYaeligcent=JLJUO7KEgraveJLhYXiacute[PhlZOslashJU^ H MN H fRJUNP^Y H [B^Nm H [ H MJjYJ[SXon5hJ[]QR[]OWVcentNPYZJU^NPb H QVUPJTbn[]O H []jehYYp^q hQV[]QcONPfsfVmSeNPb H QVUPJ bn[]O H []jehdYWFJLhZJ centEgrave[]jO^NihYmVcentNPYJU^bZOslashJ H Me[W^Yoaq jecentEgraveJLh HNPO^rcOtilde[PhdOeKhZ[PcentY H e sSs fj^ G ON`PJUYtacaumlNPYZYaeligJ H NPfd^VeufhSiSi]jeycent-NPfcfR[B[]OYoa)v[]MeJUOOefhShfj[Phw[PJL[W^eJUYZQcbNPb H QVUPJbn[]O H []jehdYxa)vNPYZJUfcfRJUY J H NPfd^VeyfhSh]zSj`NihZJOacute^hQVUPJUOH [WFNih^Y H MeJ JU^[PJUY [SXOtildeNPOQZaringN[PJS^|MeJ JUP[]fcj H QR[]OJjN H Qc[]O QcYOslashbn[]ZOslashK-j H JU^XiacutehZ[]ZNaumlbnhQ H JLhQR[]O H MN H []OfVmtimesQsObLfcj^eJUYNaumlfR[WbLNPfQcOFX[PhlZ N H QR[]Otimes[]O H MeJ(centEgrave[]jO^NihYm[SX H MeJauml[Pcent~JUb HH [ YZJ[]ZOslashJUO H ^MeJt`PJmQc^eJUNOacute[SXOtildehZJ[]QR[]OWVcent-NPYJU^ NPb H QVUPJeumlbn[]O H []jehYehY H fVmKh[PK=[]YZJU^ centma)vF[]MJUOTJ H NPfd^VefhShS[]OXqNih^OefhShje]QsY H [OtildeQcO H hZ[B^jbnJ0N_[]fR[PcentNPfBQcOXiacute[PhlZaringN H QR[]O[]O H MeJIacute^QV=JLhZJUO H hZJ[]Qc[]OY H [ YJ[]ZOslashJUO H QcOaNP^^Q H QR[]O H [ H MeJIacutecent=[]jO^NihYmVcentNPYJU^QcOFX[PhlZ N H QR[]OOe H [_ZaringN`PJ H MeJNtildeNPb H QUPJNtildebn[]O H []jehJUP[]fUPJS^iexcl[WFJUPJLhePQ H QcYgO[ H9H hQVUWQcNPfH [timesbn[]ZOslashKj H J H MeJJUP[]fcj H QR[]OaringJBjN H QR[]O [SX H MeJiexclNPb H QVUPJUacutebn[]O H []jeh H MN H WQcfsfZaringN`PJQ H JUP[]fUPJ H [WFNih^Y0NyZ QcOQZtimesjFZ[SXNTbnhQ H JLhdQR[]OOslashQcObLfcj^QcO[centEgrave[ H MOslashhZJ[]QR[]OWVcent-NPYJU^NPO^centEgrave[]jO^NihYmVcentNPYJU^ H JLhlZaringY^JUbnJUO H fmSeZaringNPOm KNiKEgraveJLhY MNUPJeumlNP^^ehZJUYYJU^ H MQsYOslashKhZ[PcentfcJZ^0 hZJUWQRJW [SXH MeJUYZJrZaringJ H Me[B^Y QsY`KhZ[PKEgrave[]YJU^1QcO G JUb^ ^ G []ZOslashJ[SX H MeJUYZJxWF[PhY`WY^e[ Oe[ Hbn[]ZOslashK-j H J H MeJ H MeJL[PhZJ H QcbLNPfJkWKhZJUYZYZQc[]O[SX H MeJUPJUfR[BbLQ H mUPJUb H [PhOtilde[SX H MeJtimesNPb H QVUPJbn[]O H []jehcentj H H MeJm bdMe[[]YZJ H MeJ ^QcYKfcNPbnJZaringJUO H H MN H WQcfcf_ZaringN`PJ H MeJbnhQ H JnVhQc[]O ^JUbnhZJUNPYJa)vMN`hNicentEgrave[Ph H m J H NPf)^VefhShSvMeJUYONPj^ J H NPfd^VefhShSh]j^ qH MeJLhWF[PhY`WYKh[PK=[]YZJ H MeJIacutebn[]ZaringKj H N H QR[]O`[SX H MeJUPJUfR[BbLQ H mUPJUb H [PhOtildecentm hZJU^jbLQcOF[ H MeJWM[]fRJOacuteKh[PcentfRJZ H [ centEgrave[]jO^NihYm QcO H J[PhdNPfcYxa)MjNPO^0jQcfcfcJSeyfhShSgampNihN~V[]QR[]Y`NPO^JLhQsbMeJSefhShSh]j[Ph`centm jYQcO[ H MeJ7fRJUPJUfTYJ H ZOslashJ H Me[W^a G NSZ Y[]OJ H NPf)^Ve sSsSs Ov(MNPONPO^$JUYZJSe sSs fj^OMeJm H MeJUOjYZJ H MeJyNtildejfRJLhVAN[PhNPO[PJJBjN H QR[]OY H [ bn[]ZOslashKj H J H MJaumlJUP[]fcj H QR[]OJjN H Qc[]OO^iexcl[WFJUPJLhe H MeJOtildeQcOXiacute[PhlZaringN H QR[]O []O H MeJauml^Q=JLhJUO H hZJ[]QR[]OYe H MN H WNtildeJaumlbLNPfsfMeJLhZJn^eJUYbnhQRK H [Phlp [SX H MeJIacutebn[PhhZJUYKEgrave[]O^QcOF[aringhZJ[]QR[]OOeKZaringNmacent=Jy[]fR[PcentNPfcfVm N HH NPbdMeJU^ H [H MeJ(hJ[]QR[]OO^S5O^eJLJU^OslashQ H [WbLbLjehYXiacute[Ph0Y H N H QcY H QcbLNPf^eJUYZbnhdQRK H [PhYampYZjbdMaringNPY H MeJ_ZOslashJUNPOOeH MeJUiNihQcNPObnJ[Ph H MJMQcY H [S[PhNSZ [SX H MeJ hZJ[]QR[]O^Q5O bLNPYJ [SXUacutejOYZjK=JLhlUBQcYZJU^YJ[]ZaringJUO H N H QR[]Oe H MeJUYZJ ^eJUYZbnhdQRK H [PhYIacuteNihZJ hZJnVJUiNPfcjN H JU^JUNPbM H QZaringJ H MeJ NPb H QVUPJbn[]O H []jehJUP[]fVUPJUYiexclNPO^aY[ H MeJmU~Nihlm^jehQcO[ H MeJIacuteKhZ[PKN[]N H Qc[]O[SX H MeJtimesNPb H QVUPJbn[]O H []jeh^yhZJUWQR[]jYWF[PhY`BYIacute[]O7hZJ[]QR[]OWVcent-NPYJU^NPb H QUPJbn[]O H []jehYaelig^e[eumlOe[ HIacuteH N`PJQcO H [ NPbLbn[]jO HaumlH MQcYKEgrave[]YZYZQRcent-fRJyUiNihQcN H QR[]Oeuml[SX H MeJaring^eJUYbnhQRK H [PhY H [bn[]ZOslashK-j H J H MeJJUP[]fcj H QR[]OJjN H QR[]O[SX H MeJTNPb H QVUPJIacutebn[]O H []jeh^ JTKhZ[PKEgrave[]YJaumlMeJLhZJaumlN[PJUOeJLhNPfNtildejfRJLhQcNPOoXiacutehNSZOslashJWF[PhY`X[PhhZJ[]QR[]OWVcentNPYZJU^NPb|V

H QVUPJbn[]O H []jehY`ONSZOslashJU^ iexcl_0 Uacute_wcent G aiexclJXiacute[PhlZaringNicent-fRJpoundJ[]QR[]OYa^ehQUPJUO centm NPONtildejfRJLhQcNPO iexclbLbLjhN H JT_aQsOQZaringQVcurrenUN H Qc[]O _aJ H Me[W^X[Ph G J[]ZOslashJUO H N H QR[]Ogtj^gtMeJiexclZaringNPQcObn[]O H hQRcentj H QR[]O[SXy[]jh_WF[PhY`aQcY H [centjQcfs^ N H MJL[PhZJ H QcbLNPfQXhdNSZOslashJWNtilde[Phl`centNPYJU^`[]O

uumlnyacute|thornLyuml13

yenKbrvbarsect =4 acirc $ YZMNiK=JT[PK H QZaringQVcurrenUN H Qc[]OKhQsObLQRKfRJUY^ Q H M YZjbM`NPO`NiKKhZ[]NPbMegtWFJIacutebLNPO hZJUNP^QsfVmH N`PJ7QcO H [ NPbLbn[]jO H`H MeJpoundUiNihQcN H QR[]O [SX H MJOacute^eJUYZbnhQcK H [PhY H MN H NihJpound[]fR[PcentNPfcfmN HH NPbdMeJU^ H [ H MeJUacuteJUP[]fVUWQcO[timeshZJ[]QR[]OYgaqbLNPfsfRJU^ hZJ[]QR[]OWV4^eJLKEgraveJUO^JUO H ^eJUYZbnhQcK H [PhYj^ JOtildeYZMe[W H MN HH MeJiexclU~NihQsN H QR[]O [SX9hZJ[]QR[]OWV4^eJLKEgraveJUO^JUO H ^eJUYZbnhQcK H [PhYF^jehQcOF[ H MeJJUP[]fcj H QR[]OOtilde[SX H MeJ0NPb H QUPJFbn[]O H []jehampQcO^jbnJUY9NP^^Q H QR[]ONPf H JLhlZaringY9QsO H MeJyJUP[]fcj H QR[]OJBjN H QR[]Oeuml[SX H MeJOslashNPb H QVUPJ bn[]O H []jeh^MeJUYZJaeligNP^^Q H QR[]ONPf H JLhlZaringYOtildeMNUPJaringOe[ H centEgraveJLJUOKhJUBQR[]jYZfVm bn[]ZOslashK-j H JU^uml^

G []ZOslashJNtildeJkeNSZOslashKfcJUY[SX-jOYZjeKEgraveJLhYUWQcYJU^TYKN H QcNPfBYJ[]ZOslashJUO H N H QR[]OOePjYZQsO[ H MeJcopyUiNihQuVNPObnJ [SX H MJOslashhZJ[]QR[]OYe9KhZ[UPJ H MeJ QZOslashKEgrave[Ph H NPObnJOslash[SX H MeJ NP^^Q H QR[]ONPf H JLhlZaringYordfXiacute[PhH MeJ(NPbLbLjehdNPbmIacute[SX=YJ[]ZOslashJUO H N H QR[]OOslashhZJUYZjf H Y^MeJNP^^Q H QR[]ONPf H JLhlZ YZIacutejY H O[ H centEgraveJXiacute[PhY[P[ HH JUO QcO [Ph^eJLh H [laquo[PJ HH MeJ_XqNPY H JUY H NPb H QUPJUacutebn[]O H []jeh(JUP[]fcj H QR[]O H [WNih^Y(NZaringQsOQZtimesjFZoslash[SX H MeJaumlbnhdQ H JLhQR[]OO^not QcONPfcfVmSe H MeJbn[UiNihQcNPObnJbZ N H hQk ^eJ H JLhZaringQcONPO H NiKKEgraveJUNihY H [ cent=JNrUPJLhYmhZJUfcJU~NPO HH [B[]fOX[PhMe[]ZOslash[S[PJUOeJL[]jYbn[]fR[PhiexclhZJ[]QR[]OYYZJ[]ZOslashJUO H N H Qc[]OO^gtMQcY H [[]fQcYYZjbLbnJUYZYXqjfcfVm NiKKfcQRJU^ H [XqNPbnJIacute^eJ H JUb H Qc[]O []OhZJUNPfUBQc^JL[aringYJjJUObnJUY^MeJa^eJ H NPQcfcJU^ [UPJLhYUBQcJW []O hZJ[]QR[]OeVcentNPYJU^ NiKKhZ[]NPbMJUY QsYaringKhZ[PKEgrave[]YJU^ QcOG JUb^ eshyWMQcfRJOslash[]jeh0jfRJLhdQcNPOumlXiacutehNSZOslashJWF[PhY`uml5_0 Uacute_ cent G QcYauml^JUYZbnhQRcentEgraveJU^QcO G JUb^^MQcY|XhdNSZOslashJWNtilde[Phl` QcY H MeJUONiKKfcQRJU^ H [ H MJjOYZjeKEgraveJLhYUWQcYJU^aringYJ[]ZaringJUO H N H QR[]O[SXMe[]Zaring[S[PJUOeJL[]jYIacutehZJ[]QR[]OYIacutejYZQcO[ H MJregUiNihQcNPObnJ QsO G JUb^lt`NPO^ H MeJ bn[U~NihQsNPObnJZaringN H hdQk ^eJ H JLhZaringQcONPO H QcO G JUb^gtmacr^

degEplusmnyLMgtsup2Qsup32acutemicromiddotparaJcedilJacutemicrosup1acuteIKJordmcedilIltN paraJcedilJacutewMraquo Jfrac14ltacutefrac34frac12oLJMgtIiquest acuteAgravegtT2MgtIAacutelAcirclaquocedilFAtildeacuteNAumlfrac12R]JT13Aringgtacutesup1AEligMgtIKJMgtPltLAtildeJUbnJUO H fVmSeZaringNPOmNPj H Me[PhdYtimesMNUPJKhZ[PKEgrave[]YJU^NwWNm[SXNP^^QcOF[hZJ[]QR[]OWVcent-NPYJU^H JLhlZ YQcO H MJTJUP[]fcj H Qc[]O JjN H QR[]Ow[P[UPJLhOQcOF[ NPb H QVUPJtimesbn[]O H []jehdY Xiacute[PhiexclYJ[]ZaringJUOWVH N H QR[]O QsYZYZjeJUY^QMeJ KhZ[PcentfcJZ Y H N H JZaringJUO H QsYhY H KhZJUYJUO H JU^NPO^ H MeJUO H MeJY H N H JnV[SXV H MeJnV4Nih H QcY^J H NPQcfRJU^O^ ^f^bCcedil_EgraveKEacuteltEcircgtEumlIgraveFIacuteIumlIcircETHOgraveNtildeFETHIgraveFIacute5IgraveFOacuteETHiexclJLhZJSeOcircWFJa^eJUYZbnhdQRcentEgraveJ H MJ JjN H Qc[]OYaringNP^^ehJUYZYZQcO[ H MeJ`QcYZYZjeJ[SX H MeJYJ[]ZaringJUOWVH N H QR[]O[SX NPOQCZaringN[PJxOtilde QsO H WNtilde[ hZJ[]Qc[]OY^iexclgJ H jYeuml^eJOeJrOumlcopytimesOslash H MeJhJ[]QR[]Obn[]O H NPQcOQcOF[ H MeJ[Pcent~5JUb H Y H [YZJ[]ZOslashJUO H NPO^ OumluUgraveUcircUacuteUuml H MeJeumlcentNPbY`[PhZ[]jO^ hJ[]QR[]OO^MJUQRhFbn[]ZregZOslash[]O centEgrave[]jO^NihlmaringQcY(Oe[ H JU^YacuteOcirc^F9J H jY(bn[]OYZQc^JLhNPOaNPb H QVUPJaumlbn[]O H []jhYacuteadTHORN]szligYagravejaacuteacirca2atildeadTHORN]szligYagravejszligaumlOadTHORNOgraveszligYagravejje]WMeJLhZJuTHORNuZaringNmTcentEgraveJ H MeJ(NihbNtildefcJUO[ H Mtimes[SX H MeJbn[]O H []jhNPO^umlagraveQsYOtildeNPOJUP[]fcj H QR[]OeumlK-NihNSZOslashJ H JLh^shyMeJOslashNPb H QVUPJ bn[]O H []jehIacuteNiKKhZ[]NPbMpoundZ N`PJUYYacuteadTHORN]szligYagravejJUP[]fVUPJ H MehZ[]j[]M H MeJ|Xiacute[]fcfR[WQcO[K-Nih H QcNPf^Q=JLhJUO H QcNPf]JjN H Qc[]Ooa5copyjaringaelig YacuteadTHORNOgraveszligYagravejaelig agrave aacuteegraveccedilyeacuteecircaacuteegraveeuml WQ H MigraveYacuteaagraveregaacute s j|aacuteegraveYacuteshyiacute afjWMJLhZJfrac34YacuteltiacuteaQcY NPO QsOQ H QcNPfbLjhYUPJ ^JOeJU^centm H MeJeumljYJLhNPO^egraveeacute H MeJ QsOOgraveWNih^Oe[PhZaringNPfUPJUb H [PhOtilde[SX|YacuteadTHORN]szligYagravej^MeJUPJUfR[WbLQ H mfrac34ccedil QcY^eJLhQUPJU^wXiacutehZ[]Z NZaringQsOQZaringQVcurrenUQsO[

uumlnyacute|thornLyuml13 2

$amp)(+-)013021+345627893lt=gt9A6CBbnhQ H JLhQR[]O NPO^ QsY bdMe[]YJUO Y[ H MN H H MeJ YZ[]fcj H QR[]OicircYacuteaUcirciumlVszligYagravej bn[]OUPJLhY[PJUY H [ H MeJ[Pcent~JUb H centEgrave[]jO^NihYmSeYacuteaUcirciumlethjeNPY_agraveregntildeoacuteograveicirc^5ObLfcNPYYZQcbLNPfcentEgrave[]jO^NihYmVcent-NPYJU^ZOslashJ H Me[W^Ya)v(NPYJUfcfRJUY(J H NPfd^VeshyfhSh]zg_`NPfcfcNP^QJ H NPfd^VelaquofhShSmacr]je H MeJsup1UPJUfc[BbLQ H m XqjOb H QR[]OHccedil QsY`^eJLhdQVUPJU^XiacutehZ[]ZCNPOJUOeJLhY[Smacircocirc^eJLKEgraveJUO^QcO[T[]O H MeJOtildecentEgrave[]jO^NihlmYacuteOcircaring

ocircOgraveotilde UgraveUacute OslashoumlYdivideloslashugrave aYacuteQj|aacute uacuteucircyacuteuumlgtthorn otilde)yuml THORN a jWMJLhZJ_uuml thorn otilde)yuml QcYNtildeNyXqjOb H Qc[]O ^eJUYZbnhdQRcentQcO[ H MeJiexclcentEgrave[]jO^NihYmtimes[SX H MeJiexcl[Pcent~JUb H ^vNPYZJUfcfRJUYJ H NPf_a)vNPYJUfsfRJUYaumlJ H NPfd^VefhSh]zSjIacutebM[[]YJ H MeJregXqjOb H Qc[]Obuuml thorn otilde)yuml aacuteKa ordmOtilde jyWMeJLhZJtaring s szliggograve8ntilde Otilde 13 QcYiexclN Y H hdQcb H fVm ^eJUbnhZJUNPYZQsO[XqjOb H Qc[]OaY[ H MN H a]juntilde s NPYgntildeoacuteograveicirc^SMeJFbn[]ZOslashKj H N H Qc[]OIacute[SX H MeJUPJUfc[BbLQ H mccedilicircXiacutehZ[]Z H MJFbnhQ H JLhQR[]Oa j9QsYOe[WWFJUfcfO`WOe[WiexclOsup1a)vNPYJUfsfRJUYJ H NPfd^VeltfhSh]zSjiexclNPO^`fRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[OslashJUP[]fcj H QR[]OJBjN H QR[]OOaring aelig Yacuteaelig agrave aacuteFuuml thorn otilde)yuml uuml thorn otilde)yuml eacute13eacute ad]jWMJLhZJ QcY H MeJaumlbLjehYUiN H jehZJOtilde[SXYacuteaagravej^iexcl[WFJUPJLhecent=[ H MaringhZJ[]QR[]OYOcircOumlcopytimesOslashtimesNPO^Ouml UgraveUcircUacuteUuml ZaringNmtimesMNUPJiexcl^QV=JLhZJUO H KhZ[PKEgraveJLh H QRJUYamp[SXH Jk H jehZJSeiMe[]ZOslash[S[PJUOeJUQ H mtimes[PhZaring[ H QR[]O H MN H bLNPOOe[ H cent=JQcObLfsj^eJU^aumlQcO H MeJXiacutejOb H QR[]Ouuml thorn otilde)yuml ^ G [ H MeJoZaringNPQcOOacuteKjehZKEgrave[]YJaring[SX(hJ[]QR[]OWVcentNPYJU^7NiKKh[]NPbMeJUYaeligQcY H [ QcO H hZ[W^jbnJYZjbM Nx[]fR[PcentNPfUacuteQcOXiacute[PhlZaringN H QR[]O QcO H MeJ UPJUfR[WbLQ H m XiacutejOb H QR[]Oicircccedil QcO NP^^Q H QR[]O H [H MeJeumlfR[WbLNPfiexclQsOX[PhZaringN H QR[]OKhZ[UWQc^eJU^ centm cent=[]jO^NihYmVcentNPYJU^ H JLhlZaringY^copyMeJZaringNPQcOBjeJUY H QR[]OeiQsOIacute[Phd^eJLh H [~jY H QVX2m H MeJQcO H hZ[W^jb H QR[]OIacute[SX H MJUYJ(hZJ[]QR[]O H JLhlZ Ye]QcY H [^eJLhdQVUPJ H MeJuUPJUfR[WbLQ H mlaquoXqjOb H QR[]OlaquoXiacutehZ[]ZNPOOslashJUOeJLhl[SmS^Ograve9[IacuteYJ H Nordf[PJUOeJLhNPfFXhNSZaringJWNtilde[PhY`NPO^ H [Oslashbn[]ZOslashKNihZJ H MeJUacute^QEgraveJLhZJUO H NiKKhZ[]NPbMeJUYFKh[PK=[]YZJU^ QcO H MeJUacutefcQ H JLhN H jhZJSeWFJOe[W QcO H hZ[W^jbnJ Nw[PJUOeJLhNPfNtildebnhQ H JLhQR[]ObXh[]ZigraveWMQsbM H MeJUPJUfR[WbLQ H mpoundZaringN[]OQ H j^eJZaringNmcent=JOtilde^eJLhdQVUPJU^Oaring

ocircOcircadOumlutimes OslashgtszliglOuml UgraveUcircUacuteUuml szligYYacuteQjbaacute uumlgtthorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszliglOuml UgraveUcircUacuteUuml j atilde auml $ uumlgtthorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashFj atilde aumlamp uacuteucirc uumlgtthorn otilde)yuml a2atildeltszligaumlj THORN a2jWMJLhZJyuuml thorn UgraveUcircUacuteUuml yuml QcYONSZaringJU^ H MeJwn^JUYZbnhQRK H [PhpOslash[SX H MeJaumlcentNPbl`[PhZ[]jO^ hZJ[]QR[]Oegtuuml thorn timesOslash yumlH MeJsup1n^eJUYZbnhQRK H [Phlp[SX H MeJaring[Pcent~JUb H hZJ[]Qc[]ONPO^buuml thorn otilde)yuml H MeJsup1n^eJUYZbnhQRK H [Phlp [SX H MeJbn[]O H []jeh^MJOslashhZJ[]QR[]O^eJUYZbnhdQRK H [PhYordfZaringNm`centEgraveJlaquo[]fR[PcentNPfsfVm`N HH NPbdMeJU^ H [ H MJUQRhOtildehZJnVYKEgraveJUb H QVUPJOslashhJ[]QR[]OYeOumlcopytimesOslasha[PhOuml UgraveUcircUacuteUuml e9NPO^Y[^eJLKEgraveJUO^euml[]O H MeJZ aqQVXFY[e H MeJmNihZJbLNPfcfcJU^pihJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhYYpOgravej^ H MNiKK=JUOYshyWMJUOtimesY H N H QcY H QcbLNPfXiacuteJUN~VH jehJUYg[SXNhJ[]QR[]OTfcQ`PJSeXiacute[Ph9JkeNSZOslashKfRJSe H MeJZOslashJUNPOIacute[Ph H MJ|UiNihQcNPObnJSe~NihZJNtildeYJUfcJUb H JU^NPY(hJ[]QR[]O^eJUYZbnhdQRK H [PhY^MeJ`K-jehZKEgrave[]YJ [SXIacuteNPfcfhZJ[]QR[]OeVcentNPYJU^ NPb H QVUPJOacutebn[]O H []jehYwZOslashJ H Me[W^YQcY H MeJUOH [poundZaringN`PJ H MeJaNPb H QVUPJabn[]O H []jeh JUP[]fVUPJ H [WNih^Y NeumlKNih H Q H Qc[]O[SX H MeJ`QZaringN[PJSeadOumluUgraveUcircUacuteUumlszliglOuml timesOslash szligYYacuteQje H MN H ZaringQcOQZ QVcurrenLJUY H MeJTbnhQ H JLhdQR[]Opounda2j^

uumlnyacute|thornLyuml13 (

yenKbrvbarsect =4 acirc $ macr ^ ^)+ltIgraveFEgrave-+13IgraveigraveEacute10Igrave22IcircETH313Oacute4 EgraveOIgrave54EacuteshyOacute76EcircgtNtildeltIcircIgrave8 Iacute_IgraveETH39ltEacute8QIcircshyIcirclt2Oacute4Ntilde=KETH3gt+ltIgrave=EacuteshyOacuteshyETHEacute1EgraveIcirc MQcfRJiexclNPONPfVmWYZQcO[aumlhJ[]QR[]OWVcentNPYJU^ NPb H QVUPJUacutebn[]O H []jhYNiKKhZ[]NPbdMeJUYeWNtildeJ5ZaringNm bn[]OWVYZQs^eJLh H MehZJLJyZaringNPQsO QZOslashKEgrave[Ph H NPO H K=[]QsO H Yaring MN H NihJ H MeJT^QV=JLhZJUO H ^eJUYZbnhdQRK H [PhY(jYZJU^BA iexcl[WQcY^eJLhdQVUPJU^ H MeJaumlJUP[]fcj H QR[]O JBjN H QR[]OXiacutehZ[]Z H MeJaumlbnhdQ H JLhQR[]OCA iexcl[WQcYQZaringKfRJZOslashJUO H JU^ H MeJaumlNPb H QVUPJtimesbn[]O H []jehANtildeQR[]OeJLJLhcopyWF[PhY`BY(MNUPJaumlcentEgraveJLJUO KhZ[PKEgrave[]YJU^ centma)vF[]MeJUOJ H NPfd^VefhShSgt[]OXqNih^OefhShj^5ONPOJUNihdfVmpoundWF[PhY`gte|vF[]MJUOJ H NPfd^ua)vF[]MeJUO7J H NPfd^VeufhShS]jIacuteKhZJUYZJUO H NYZjhYXiacuteNPbnJ$hJUbn[]OY H hjb H Qc[]OgZOslashJ H Me[W^TjYQcO[hZJ[]QR[]OWVcent-NPYJU^aumlNPb H QVUPJFbn[]O H []jehdY^MJmbn[]ZOslashK-j H J H MeJUPJUfR[WbLQ H mpoundUPJUb H [Phaelig[SXNPO7NPb H QVUPJ bn[]O H []jhXiacutehZ[]Z H MeJZaringQsOQZaringQVcurrenUN~VH QR[]O[SXampNOslashbnhQ H JLhdQR[]OQcObLfcj^QcO[aumlhZJ[]Qc[]OWVcentNPYJU^ H JLhZaringY^ Oe[ H MeJLh(KQR[]OJLJLhuWNtilde[PhY`MNPYaumlcent=JLJUOK=JLhlX[PhlZaringJU^QcO a[]OXqNih^OeOcircfhShj^iexclJ NPYZYJUYZYZJUY H MN HTH MeJUPJUfR[WbLQ H mXqjOb H QR[]O YZMe[]jfc^aringcent=JKhZ[PKEgrave[Ph H QR[]ONPf H [ H MeJUacute^QEgraveJLhZJUObnJ[SXgY H N H QcY H QcbLNPfXJUN H jehJUYaringccedilaacute uuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml eOgraveWMJLhZJ_uuml thorn timesOslash yuml QsY0NaumlY H N H QsY H QcbLNPfKZOslash[B^JUfe[SX H MeJ[Pcent~JUb H hJ[]QR[]ONPO^tuuml thorn UgraveUcircUacuteUuml yuml N Y H N H QcY H QcbLNPfshyZOslash[B^JUfEgrave[SX H MJaumlcentNPbY`[PhZ[]jO^ hZJ[]QR[]OO^

G []ZOslashJaumlNiKKhZ[]NPbdMeJUY(Kh[PK=[]YZJ H [ bn[]ZOslashKj H J H MeJOtildeJUP[]fsj H QR[]OJBjN H QR[]O [SX H MeJNPb H QVUPJtimesbn[]O H []jhUacutejYZQcO[ H MeJ hZJLJUOWVAiexclQRJZaringNPOO H MeJL[PhZJZ NPO^wNtildejfRJLhVAN[PhNPO[PJJBjN H QR[]OY^OEgraveMBjeumlNPO^frac340jQcfcfcJoa)EgraveMBjNPO^frac340jQcfcfcJSeltfhShS]jKhJUYJUO H NY H N H QcY H QcbLNPfXiacutehNSZOslashJWF[PhY`poundXiacute[PhOslashQZaringN[PJYJ[]ZOslashJUO H N H QR[]OjYZQsO[aNPONPfV[P[PhQ H MZbLNPfsfRJU^n5hJ[]QR[]Obn[]ZOslashKEgraveJ H Q H Qc[]OFp^MeJm^eJLhQVUPJ H MeJeumlNPb H QVUPJbn[]O H []jehJUP[]fcj H QR[]O JBjN H QR[]O centmZaringQsOQZaringQVcurrenUQsO[aringNo[PJUOeJLhNPfcQVcurrenLJU^XNmPJUYDi_wiexcl bnhQ H JLhdQR[]O`QsOYKQRhJU^centm H MeJaring_`jFZaeligVXiacute[Ph^OacuteNPO^ G MNPMJUOeJLhY[Smicircaw_ajFZX[Ph^7NPO^ G MNPMOefhSiSh]j^OcircMeJmKhZ[PKEgrave[]YJ H MeJXiacute[]fcfR[WQcO[aelig^eJUYZbnhQcK H [PhYcopyXiacute[Ph H MeJaumlYJ[]ZaringJUO H N H QR[]O`[SXampY H QcfcfQZ N[PJUYaringEFG FH uuml thorn UgraveUcircUacuteUuml yuml aacute JILK NMregaOtildeKa2atildeshyszligaumlFjPORQ UgraveUcircUacuteUuml juuml thorn timesOslash yuml aacute JILK NMregaOtildeKa2atildeshyszligaumlFjPORQtimesOslashjuuml thorn otilde)yuml aacuteTS admacr]jWMJLhZJUMrega)j9QcY9NiexclKhZ[Pcent-NicentQcfcQ H m^JUOYZQ H m5XqjOb H Qc[]OOeQshytimesNihZJ H MJNtildeKNihdNSZOslashJ H JLhY[SX H MeJ^QsY H hQRcentj H QR[]OX[Ph H MeJaelighZJ[]Qc[]OBVNPO^CSQcYUacuteN KEgrave[]YZQ H QUPJIacutebn[]OY H NPO H ^ not [PhaumlQcfsfcjY H hN~VH QR[]OYe H MeJNPj H Me[PhdYybn[]OYZQc^JLh NPjYZYZQsNPOOslash^QcY H hQccentj H QR[]OYbMNihdNPb H JLhQVcurrenLJU^ centm H WF[KNihdNSZOslashJ H JLhYe H MeJZaringJUNPOIacuteNPO^ H MeJ|UiNihQcNPObnJS^ q ObnJ H MeJWQtimeskWJU^Oe H MeJ0JUP[]fcj H QR[]OJBjN H QR[]O[SXNPONPb H QVUPJ bn[]O H []jhaeligQsYIacutebn[]ZOslashK-j H JU^NPO^^QchZJUb H fVm^eJLhQUPJU^poundXiacutehZ[]ZH MeJbnhdQ H JLhQR[]OO^SMJbLfcNPYZYZQcbLNPfe^JLhQVUiN H QVUPJ([SX H MJ(cent=[]jO^NihYmVcentNPYJU^ H JLhlZ fRJUNP^YH [ H MeJtNtildejbLfcQc^QcNPOpound[PJL[]ZOslashJ H hdQcbMeJUN HYX [Wg^OcircMeJ ^eJLhdQVU~N H QUPJ [SXiexclhZJ[]QR[]OWVcent-NPYJU^H JLhlZ Y QcY H MJUOKEgraveJLhYXiacute[PhlZOslashJU^jYQcO[ H MeJ hZJLJUOWVAQcJZaringNPOO H MeJL[PhJZ NPO^ H MeJNtildejfRJLhVAN[PhNPO[PJaJBjN H QR[]OY^5O^eJLJU^e H MeJeumlbn[]ZOslashKj H N H Qc[]O [SX H MeJaJUP[]fcj H QR[]OJBjN H QR[]OQsYK=JLhlX[PhlZaringJU^ QcO H MehZJLJyZ NPQcO Y H JLKYaringf^Q9hNPOYX[PhZaringN H QR[]Oeuml[SX^e[]ZaringNPQcOQcO H J[PhNPfcYTQcO H [ centEgrave[]jO^NihYmaQcO H J[PhNPfcYTjYZQcO[

H MeJ hZJLJUOeVAQRJZaringNPOO H MeJL[PhZJZ^

uumlnyacute|thornLyuml13

$amp)(+-)013021+345627893lt=gt9A6CB ^vF[]ZOslashKj H N H Qc[]O [SX H MJy0jfcJLhVA9N[PhNPOF[PJOtildeJjN H Qc[]OY^ltO H hZ[W^jb H QR[]O[SXiexclNeuml^mWONSZaringQcbLNPfFYZbdMeJZOslashJ QcO H MeJ0jfRJLhZVA9N[PhNPO[PJ JBjN~V

H QR[]OYQcO [Ph^eJLh H [aeligbn[]ZaringKj H J H MeJ5UPJUfR[BbLQ H mregUPJUb H [Ph[SX H MeJOtildeNPb H QVUPJOtildebn[]O H []jh^MJ UPJUfR[WbLQ H mXiacutejOb H QR[]OoccedilQsY H MJUO bn[]ZaringKj H JU^NPO^Q H fcJUNP^Y H [ H MJ5Xiacute[]fcfR[WQcO[JUP[]fcj H QR[]OJjN H QR[]OOaring aelig Yacuteaelig agrave aacuteacircaduuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml S jeacute ad]jWMJLhZJ QsY H MeJ bLjehlU~N H jehJaring[SXuYacuteaagravej^5O[Ph^eJLh H [aQZOslashK-fRJZOslashJUO HOtildeH MQcYordf|iexcl eNN[PhNPO[]QcNPOXiacute[PhlZtimesjfcN H QR[]O QsY(jYJU^O^JUbnJUO H fmSeampNihN[]Qc[]YNPO^frac34JLhQcbdMeJaNihdN[]QR[]YOtildeNPO^iexclJLhdQcbMeJSefhShSh]jegMNUPJKh[PK=[]YZJU^ NPOJk H JUOYZQc[]O[SX H MeJordfWF[PhY` [SXOcircEgraveMBjNPO^o0jQcfcfcJcentm QZOslashKhZ[UWQcO[ H MeJ^eJUYbnhQRK H [Phaelig[SX H MJbn[]O H []jeh QcO7[Ph^eJLh H [QcObn[PhK=[PhdN H J H MJQCZaringN[PJ[PhNP^QRJUO HNPYiexclQcO[PJL[W^eJUYZQcbIacuteNPb H QVUPJtimesbn[]O H []jehY^gtMeJTJUP[]fcj H QR[]OaJjN H Qc[]OaQcYiexclQZOslashKfRJZaringJUO H JU^jYQcO[ H MeJ(fRJUPJUfBYJ H ZOslashJ H Me[W^aeligQcO H hZ[B^jbnJU^aumlcentm q YZMJLhNPO^ G J H MQcNPOoa q YZMeJLh$NPO^G J H MQcNPOOeltfhSiSi_aNPfcfsNP^Q9J H NPfd^VefhShSmacr G J H MQcNPOOeltfhShS]j^ UPJLhYm QcO H JLhJUY H QcO[KNih H [SX H MQsYyWF[PhY`Oacutebn[]ObnJLhdOY H MeJ QsO H hZ[W^jb H Qc[]O[SXY[]ZOslashJ^eJUYZbnhdQRK H [PhYlaquouuml thorn timesOslash yumlNPO^uuml thorn UgraveUcircUacuteUuml yuml X[PhNiKKfcQsbLN H QR[]OYfcQV`PJ H Jk H jehZJFYJ[]ZOslashJUO H N H QR[]OtimesNPO^gZOslash[UBQcOF[[Pcent~JUb H Y^eJ H JUb H Qc[]OO^

G []ZOslashJT[ H MeJLhUacuteNiKKh[]NPbMeJUYlaquoa)vMN`BhNicentEgrave[Ph H mJ H NPfd^VeltfhShSvMeJUYONPj^ J H NPfd^VefhShSh]j9KhZ[PKEgrave[]YJ H [OtildebMe[B[]YJ(N H JUNPbdMOslashY H JLK H MeJ^QcYKfsNPbnJZOslashJUO H [SX H MeJNPb H QVUPJ(bn[]OWVH []jeh H MN H ZaringN`PJUY H MeJybnhQ H JLhQc[]OOtilde^eJUbnhZJUNPYJS^SvMN`BhNicentEgrave[Ph H miexclJ H NPfd^a)vMN`hNicentEgrave[Ph H mJ H NPfd^VecopyfhShS]jtimesQcO H h[B^jbnJ N`hZJ[]QR[]OWVcentNPYZJU^7NiKKhZ[]NPbMxXiacute[Ph H MeJ YZJ[]ZOslashJUO H N H Qc[]O[SXQZOslashJU^QcbLNPfQZ N[PJUY^ iexclYQcOeKj H [SX H MJUQRhNPfV[P[PhQ H MZe H MeJm bn[]OYQc^eJLh(centEgrave[ H M H MeJNPb H jNPf9QZaringN[PJgOtilde NPO^ H MeJOtildehZJ[]QR[]OWV4bLfsNPYZYZQVJU^ QCZaringN[PJgOtildeoslash^FMeJOtildebLfcNPYZYZQVJU^ QZaringN[PJOtilde oslash QcYiexclbn[]ZOslashKj H JU^`centmwZaringNkeQZaringQVcurrenUQcOF[ H MeJTKEgrave[]Y H JLhQc[Ph^QsY H hQRcentj H QR[]O [SX H MeJThJ[]QR[]OfcNicentEgraveJUfcY[]QUPJUO H MeJQcO H JUOYZQ H maeligQZaringN[PJS^MeJUQRh0hZJ[]QR[]O H JLhlZ JUOXiacute[PhbnJUY H MJcentEgrave[]jO^WVNihYm H [JUObLfc[]YJaringNYZQcOF[]fRJaelighZJ[]QR[]OQcOumlOtildeoslash^MeJaring^JUYZbnhQRK H [PhdYOtildeNihZJ H MeJXiacute[]fcfR[WQcO[WQ H M H MeJauml^QEgraveJLhZJUObnJ H MN HH MeJmWFNPO HH [regZaringNkeQZaringQcurrenLJ H MJTbnhQ H JLhQc[]OocircaringEFG FH uuml thorn UgraveUacuteUuml yuml aacute[Z] Otilde oslash a2atildeltszligaumljuuml thorn times Oslash yuml aacute suuml thorn otilde)yuml aacute[Z cent Otilde_^Ogravea2atildeshyszligaumlFj a)zSjWMJLhZJ]Z NPO^`Z cent NihZJ H WNtilde[7KEgrave[]YZQ H QVUPJbn[]OY H NPO H YNPO^ Otilde_^aQcY H MeJfrac34[PhNP^QRJUO HQZ N[PJS^ KhQc[PhYMNiKEgraveJ H JLhZDQcY(NPfcY[OslashNP^^eJU^ H [ H MJaumlbnhQ H JLhQR[]OeWiexclMQcbMbLNPO centEgraveJQcO H JLhZJUY H QsO[gXiacute[PhZOslashJU^QcbLNPf-QCZaringN[]QcO[gWiexclMeJLhZJ H MJiexclON H jehJ[SX H MeJYZMNiKEgraveJiexcl^[JUYFOe[ HbdMNPO[PJNaumlfc[ H Xh[]Z2QcO^QUBQc^jNPf H [TQsO^QVUWQc^jNPf)^MeJUOeiNPYNtildeQcOwa)EgraveMBjaringNPO^ordm0jQcfcfRJSefhShS]je H MeJWMe[]fRJaumlKhZ[PcentfRJZ QsY(hZJU^jbnJU^ H [ bn[]ZaringKj H QcO[ cent=[]jO^NihYm QcO H J[PhdNPfcYH MNPOF`BY H [ H MeJ hZJLJUOWVAQcJZaringNPOO H MeJL[PhZJZte(hN H MeJLh H MNPO centEgrave[ H M centEgrave[]jO^NihYmNPO^ ^[]ZaringNPQcO QcO H J[PhNPfcY^yacuteMeJQZOslashKfRJZaringJUO H N H QR[]O [SX H MeJNPb H QVUPJ7bn[]O H []jhaQcOa)vMN`hNicentEgrave[Ph H mJ H NPfd^Ve fhShS]jaringQcYaring^e[]OeJacentmjYZQcOF[N not []jehQcJLharingKNihNSZOslashJ H JLhdQVcurrenUN~VH QR[]O^yacuteMeJJkWKhZJUYZYZQc[]O [SX H MeJumlUPJUfR[WbLQ H mAumlUPJUb H [Ph [SX H MeJOacuteNPb H QVUPJ7bn[]O H []jeh QcY

uumlnyacute|thornLyuml13 a

yenKbrvbarsect =4 acirc $ zOe[ H bn[]ZOslashKj H JU^OeNtildecentj HOslashH MeJ bnhQ H JLhQc[]OQcYaringQcO H hZ[W^jbnJU^NPO^ OBjFZOslashJLhQcbLNPfsfVmOacuteJUiNPfuVjN H JU^ QsO [Ph^eJLh H [ ZaringNkeQZaringQVcurrenLJQ H ^ JbLNPO Oe[ H J H MN HH MJeumlNPj H Me[PhYMNUPJKh[PK=[]YZJU^ NlaquoUPJLhYm QcO H JLhZJUY H QcO[aeligJk H JUOYZQR[]O [SX H MQcYWNtilde[Phl` jYQcO[ H MJ5[]NSZaringJ H MeJnV[PhYma)vMN`BhNicentEgrave[Ph H m NPO^jObLNPOOeOfhShSh]j^J[]Qc[]O NPO^ cent=[]jO^NihYmOslashbnhQ H JLhdQR[]OYNihZJYJLKNihdN H JU^OePcentj H JUNPbMaringbnhQ H JLhQR[]Otimesbn[]O H NPQcOY$NPOtimesQsO H JLhNPb H Qc[]OlaquoWQ H M H MeJ[ H MeJLh^ Y H MJ_[]NSZOslashJKhZ[S[PhJUYZYJUYeBcentEgrave[ H MZOslash[W^jfcJUYyQZOslashKh[UPJ H MeJUQRh0KEgrave[]YZQ H QR[]OY H MhZ[]j[]MZtimesj H jNPfQcOFX[PhlZ N H QR[]O YZMNihQsO[^

Oe[ H MeJLhIacuteYZQZaringQcfsNihUacuteNiKKhZ[]NPbMMNPYaumlcentEgraveJLJUOQcO H hZ[W^jbnJU^eumlcentmbvMeJUYZONPj^eumlJ H NPfd^a)vMJUYZONPj^ J H NPfd^VefhShSh]j^FMeJUQchNtilde^eJUYZbnhdQRK H [PhYFNihZJhZJnVJU~NPfsjN H JU^ JUNPbM H QZOslashJUacuteNKEgrave[]QcO H [SX H MJNPb H QVUPJbn[]O H []jehFJUP[]fVUPJUY0YZQsObnJ H MeJUQRh0^JUYZbnhQRK H [PhdY$NihZJY H N H QcY H QcbLNPfXiacuteJUN H jehZJUYOtilde[SX H MeJ QZaringN[PJordm[]fR[PcentNPfsfVm`N HH NPbdMeJU^ H [ H MeJOslashJUP[]fVUWQcO[ hZJ[]Qc[]OY^shyMJmbdMe[[]YZJ H MeJ`hNPO^e[]Z ^QcYKfsNPbnJZOslashJUO H [SXaumlNOacutebn[]OYZQs^eJLhZJU^ KEgrave[]QcO H [SX H MeJ NPb H QVUPJbn[]O H []jehOslashY[ H MN HIacuteH MJ bnhQ H JLhQR[]O7^eJUbnhZJUNPYJUY^$ _X H JLhaeligJUNPbdM ^QcYKfsNPbnJZOslashJUO H [SXNKEgrave[]QcO H [SX H MeJIacuteNPb H QVUPJIacutebn[]O H []jehe H MJT^eJUYZbnhQcK H [PhY(NihZJOtildehZJnV4bn[]ZaringKj H JU^O^

fcN H JLh NiKKhZ[]NPbdM MNPYaringcentEgraveJLJUOQcO H hZ[W^jbnJU^ centm G NSZaringY[]O J H NPfd^_a G NSZ Y[]OJ H NPfd^Ve sSsSs jyacuteXiacute[PhOtildebLfcNPYZYZQbLN H QR[]OaNPO^acentmvMNPO NPO^frac34$JUYJa)vMNPOeumlNPO^frac34$JUYJSesSs fjX[PhaYZJ[]ZOslashJUO H N H Qc[]O [SXaeligY H QcfcfOtildeQZ N[PJUY^yacuteMeJm KhZ[PKEgrave[]YJ H [JZIacutecentEgraveJU^ H MeJbnhQ H JLhQR[]O ^QRhZJUb H fVm`QcO H MJaeligfcJUPJUf$YJ H X[PhlZtimesjfcN H Qc[]OO^Ov(MNPOeumlNPO^$JUYJOslashKhZ[PKEgrave[]YJH MeJordfXiacute[]fcfR[WQcO[Oslash^eJUYbnhQRK H [PhYaringEFG FH uuml thorn UgraveUcircUacuteUuml yuml aacutecb7d Otilde e f centUhguuml thorn timesOslash yuml aacutecb cent Otilde e cent centuuml thorn otilde)yuml aacuteiS adi]jWQ H M e H MeJ NUPJLhN[PJ[SXgOtildeQcOicircOuml timesOslash e e cent H MJ`NUPJLhdN[PJ[SXgOtilde7QsO OumluUgraveUcircUacuteUuml^MeJUYJH WNtilde[ UiNPfcjeJUY NihZJhJnVJUY H QZaringN H JU^ ^jehQcO[ H MeJKhZ[PK-N[]N H QR[]O [SX H MeJbLjhYUPJNPYH MeJaelighZJ[]Qc[]OYJUP[]fVUPJS^shyMeJtimesKNihNSZaringJ H JLhYjb e1b cent egeumlNPO^kSNihJaringY[]ZOslashJaeligKEgrave[]YZQ H QVUPJbn[]OY H NPO H Y^iexclJLhZJ H MJ fRJUPJUfFYJ H ZOslashJ H Me[W^QsYIacute^QchZJUb H fVmjYJU^OacutecentmhJLKhZJUYJUO H QcO[H MeJtimesbLjehYUPJlaquoYacuteaagravejNPY H MeJycurrenLJLhZ[fRJUPJUfampYJ H [SXyNQRKYZbdMQ H currenTbn[]O H QcOBje[]jY_XiacutejOb H QR[]Ol a2atildeshyszligaumlKszligYagravej^]MeJfRJUPJUfWYJ H XiacutejOb H QR[]O l QcYQsO H hZ[W^jbnJU^timesQcO H MeJbnhQ H JLhQc[]OUWQcN H MeJiexclJUNUWQcYZQc^JyacuteXiacutejOb H QR[]Onmra l j^MeJbnhQ H JLhQR[]O QcY H MeJUOoZaringQcOQZaringQVcurrenLJU^WQ H M hZJUYKEgraveJUb HH [ l jYZQcO[OslashNaelighZJ[]jfcNihQVcurrenLJU^UPJLhYQR[]O[SX H MJyZaringQcOQCZaringQVcurrenUN H QR[]O KhZ[PcentfcJZ JIacuteOe[ H JMeJLhJ H MN HFH MeJJUP[]fcj H QR[]OaringJBjN H QR[]O QcY0^QRhZJUb H fVmtimesJkBKhZJUYZYJU^regWQ H M H MJiexclfRJUPJUf-YJ HXqjOb H QR[]O NPO^ Oe[ H WQ H M H MJTbLjehYUPJgYacute|^

G []ZOslashJ[ H MeJLhWNtilde[Phl`BYeBjYZQcOF[auml^QcY H hQccentj H QR[]O H MeJL[PhYmSeBMNUPJcentEgraveJLJUOaringKh[PK=[]YZJU^OslashcentmJLcenthZJUjFUPJaJ H NPf)^_aJLcenthZJUjUPJ J H NPfd^Ve sSs fjXiacute[PhZaringJU^QcbLNPfQCZaringN[]QcO[NPO^ centm 5ZaringNP^QRJUjJ H NPfd^shyaq _Z NP^QRJUj J H NPf)^VeshyfhShSh]jcopyXiacute[PhcentjQsfc^QcO[times^eJ H JUb H QR[]OO^not QcONPfcfVmSe~hZJ[]QR[]OWVcentNPYZJU^aringNPb H QVUPJbn[]O H []jehYNtildeNihZJNPfcY[OtildeKEgrave[WFJLhYXqjf H [[]fsYX[PhNtildebLfcNPY5VYZQbLN H QR[]Opounda13yJcurrencurrenUQJ H NPfd^VeshyfhShSh]j[Ph_ZOslash[ H Qc[]O^eJ H JUb H QR[]Oxaw_aNPOYZ[]jehQgNPO^wcOtilde[]OWVhNP^efhShSh]j^MeJZ N~5[PhOtildebn[]O H hQRcentj H Qc[]Oa[SXy[]jh5WF[PhY`aQsY H [KhZ[PKEgrave[]YJaeligNo[PJUOeJLhNPfQXiacutehNSZOslashJnVWF[PhY`X[PhaumlhJ[]QR[]OWVcentNPYJU^OacuteNPb H QVUPJ bn[]O H []jehY H N`BQcOF[QcO H [NPbLbn[]jO HIacuteH MeJaringbLNPYJ [SX

hZJ[]Qc[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhY^OgraveMeJ UPJUfR[WbLQ H mordmUPJUb H [PhF[SX H MJiexclNPb H QVUPJUacutebn[]O H []jh

uumlnyacute|thornLyuml13 o

i $amp)(+-)013021+345627893lt=gt9A6CBQcYUacutebn[]ZOslashK-j H JU^centm`QcO H hZ[W^jbLQcO[N ^mWONSZaringQcbLNPfampYZbdMeJZOslashJaring^QchZJUb H fVm`QsO H MJaringbnhQ H JnVhQc[]O H [frac34ZaringQcOQZaringQVcurrenLJaeligNPYTQcO aJLcenthJUjUPJ J H NPfd^Ve sSs f 5ZaringNP^QcJUjJ H NPfd^VefhShSh]j^iexcl[WFJUPJLheWFJ KhZ[PKEgrave[]YJ MJLhZJ N OJW Xiacute[PhlZtimesjfcN H QR[]O7[SX H MJ^JLhQVUiN H QR[]OjYZQcO[YZMNiK=JIacute[PK H QZaringQcurrenUN H QR[]O H [B[]fcY^ Q H M YjbM NZaringJ H Me[B^egtWFJtimesNihJaeligNicent-fRJ H [hZJUNP^QsfVmH N`PJQcO H [NPbLbn[]jO HaringH MeJ bLNPYJ [SXhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhY H MN H U~NihYm^jhQcO[ H MeJ KhZ[PKN[]N H QR[]O[SX H MeJ NPb H QUPJ bn[]O H []jeh^MeJUYJ ^eJUYZbnhQRK H [PhYTMNUPJH [centEgraveJtimesbn[]OYZQc^eJLhZJU^ YZQcObnJ H MJmaNihZJlaquoWQc^eJUfmjYJU^X[PhOtildejOYZjeKEgraveJLhYUWQcYJU^YJ[]ZaringJUOWVH N H QR[]O^ not [Ph(YZjbdM hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYbnhQRK H [PhYeOgraveWFJiexclYZMe[W H MN H NP^^Q H QR[]ONPfH JLhlZ Y0NiKKEgraveJUNihNtildeQsO H MeJJUP[]fcj H QR[]OaringJBjN H QR[]O [SX H MeJiexclbLjehlUPJ H MN H MNUPJUacuteOe[ H centEgraveJLJUOKhJUBQR[]jYZfVm bn[]ZOslashK-j H JU^O^

pE paraOacuteOgraveJJTIshyAgravesup1cedilqoacuteIshyacuteLcedilsup3UrltLcedilgtmicrobacuteNsMgtLtrraquoML iquest acuteAgravegtT2MKIOAacutelAcirclaquocedilFAtildeacuteNfrac12oRSJT13AringKacutepoundAEligMKIKJMgtPltLAtildeq jhyZaringNPQcOb[P[]NPfFfsQRJUYTQcO H MeJ JUfsNicent=[PhdN H QR[]O[SXNfrac34[PJUOeJLhNPfXhdNSZOslashJWNtilde[Phl`umlX[Ph H MeJYJ[]ZaringJUO H N H QR[]O7[SXNPO7QZaringN[PJQcO H WF[euml^Q=JLhJUO H hZJ[]QR[]OYtimesjYZQcOF[hZJ[]QR[]OWVcent-NPYJU^NPb H QVUPJIacutebn[]O H []jehdY^ JOtildeKhZ[PKEgrave[]YJ H [ZaringQcOQZ QVcurrenLJ H MeJiexcl[PJUOeJLhdNPfgbnhQ H JLhQc[]O a2jWiexclMeJLhZJUacuteJUNPbM hJ[]QR[]OQcYamp^eJUYbnhQRcentEgraveJU^TjYQcO[UacuteN_XqjOb H Qc[]OtimesbLNPfsfRJU^ n^eJUYZbnhQRK H [Ph[SX H MeJhZJ[]QR[]Op^i YampKhZJUWQuV[]jYfVmOtilde^eJ H NPQcfRJU^OeNiexcl^eJUYbnhQRK H [PhQcY9N XiacutejOb H QR[]O H MN H ZOslashJUNPYZjhZJUY H MJNtildeMe[]ZOslash[S[PJUOJUQ H m[SXyN hZJ[]QR[]OO^Egrave_[]Y H [SXyhJUfRJU~NPO H Y H N H QcY H QcbLNPf^eJUYZbnhQcK H [PhY^JLK=JUO^ H MeJZaringYZJUfVUPJUY[]O H MeJOslashhJ[]QR[]OO^ G []ZOslashJOslashJkeNSZOslashKfRJUYOtildeNihJordm[]QVUPJUOQcO G JUb^shy^ macr^ not [PhTJkWNSZOslashK-fRJSe H MeJhZJ[]Qc[]Oa^eJUYZbnhdQRK H [Phordfuuml thorn timesOslash yuml bLNPO centEgraveJTbM[]YJUOeumlNPY H MJyUiNihQcNPObnJvu centtimesOslash [SX H MeJThJ[]QR[]OOumlcopytimesOslashFeWMQcbdM[]QVUPJUYaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashj|aacute[u centtimesOslash aacutexw$ aOtilde SOtimesOslashjUcirccent atilde aumlw$ atilde aumlWMJLhZJSOtimesOslash QcY H MJyZOslashJUNPO [SX H MeJaumlhJ[]QR[]OwOumlcopytimesOslash^ G jbMaNaring^eJUYZbnhQcK H [PhQcY(ONSZaringJU^aNn5hZJ[]Qc[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhlpOslashYZQcObnJaumlQ H ^eJLKEgraveJUO^YF[]O H MeJaumlhJ[]QR[]OwOuml timesOslash ^q ObnJ H MeJTbnhdQ H JLhQR[]O QcYQcO H h[B^jbnJU^OeWNtildeJTKhZ[PKEgrave[]YJ H [ bn[]ZaringKj H J H MeJTJUP[]fcjWVH QR[]OUacuteJBjN H QR[]OT[SX H MJ0bn[]O H []jh H MN H WQsfcfZaringN`PJ0Q H JUP[]fVUPJ H [WNih^YNyacuteZaringQcOQCZIacutejFZ[SX H MeJTbnhdQ H JLhQR[]OjYZQcO[OslashNaringOeJWH0jfcJLhQcNPOZOslashJ H Me[W^O^ H XqjO^NSZOslashJUO H NPfcfVm ^QEgraveJLhYXiacutehZ[]Z2[ H MJLhFNiKKhZ[]NPbMeJUYFYZQcObnJyacuteWNtildeJ_`PJLJLK H MJ Xiacute[PhlZIacutejfcN H QR[]Oaring[SXhJ[]QR[]OY0QsOY H JUNP^[SXyhJU^jbLQcO[ H MeJWiexclMe[]fRJTKhZ[PcentfRJZ H [ centEgrave[]jO^NihYm QcO H J[PhNPfcY^gtO^JLJU^OeWFJlaquohY HQcO H hZ[W^jbnJFNiexcl^mWONSZaringQsbLNPfYZbdMeJZOslashJ(QcO H MeJ(bnhQ H JLhQc[]OIacuteNPO^ H MeJUOWFJbn[]ZaringKj H J H MeJNtildejfRJLhQcNPO`^eJLhQVUiN H QVUPJaelig[SX H MJOslashJUP[]fVUBQsO[ bnhQ H JLhQR[]O`centm`jYZQsO[ YMNiKEgraveJIacute[PK H QCZaringQVcurrenUN~VH QR[]O KhQsObLQRKfRJUY^]MQcYZOslashJ H Me[W^ KhZ[UWQc^eJUY H MeJUacuteNP^U~NPO H N[PJ H MN HH MeJ5U~NihdQcN H QR[]O[SXehZJ[]Qc[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYbnhQRK H [PhYltWQ H M H MeJFJUP[]fcj H QR[]OIacute[SX H MeJNPb H QVUPJ(bn[]O H []jhbLNPO centEgraveJOtildehZJUNP^QcfVm H N`PJUO`QcO H [ NPbLbn[]jO H ^MeJTbn[]ZOslashKj H N H QR[]Oa[SX H MJTJUP[]fcj H Qc[]OaJBjN H QR[]O`[SX H MeJIacuteNPb H QUPJtimesbn[]O H []jehOtildeQcYKEgraveJLhYXiacute[PhlZOslashJU^QcO H MehJLJyZaringNPQcO Y H JLK-Yaring

uumlnyacute|thornLyuml13 y

yenKbrvbarsect =4 acirc $ hf^ltO H hZ[W^jb H QR[]O[SX$NOslash^mWONSZaringQcbLNPfYbMeJZOslashJSaring JTYJUNihbdMX[Ph H MeJOtildeKNih H Q H Qc[]O[SX H MeJaumlQZ N[PJadOumlcopytimesOslashszliglOuml UgraveUcircUacuteUuml szligYYacutejWMQcbdMZaringQcOQuVZaringQVcurrenLJUY H MeJbnhQ H JLhQR[]Oocirc|adOumlcopytimesOslashgtszliglOuml UgraveUcircUacuteUuml szligYYacutej^eJUYZbnhQRcentEgraveJU^aeligQcOa2j^ MQcfRJNPYZYZjZaringQcO[

H MN H NPO`[PK H QZaringNPf9KNih H Q H Qc[]O JkWQsY H Ye H MJTQcYZYZjJTQcY H [ bn[]ZOslashKj H J H MQcYiexclY[]fcjWVH QR[]OO^ G QsObnJ H MeJ YJ H [SX(NPfcfy^e[]ZaringNPQsOYaumlMNPYIacuteOe[ H NaY H hjb H jehZJOslash[SXcopyUPJUb H [PhQsNPfYKNPbnJSeQ H QcYauml^Qz bLjf HUacuteH [abn[]ZOslashKj H J H MeJ ^eJLhdQVU~N H QUPJOslash[SX H MJ bnhQ H JLhQc[]ONPb|Vbn[Ph^QcO[ H [ H MJ^e[]ZaringNPQsOY^_[ bLQchbLjFZUPJUO H H MQcY`KhZ[PcentfcJZeyacuteWFJNiKKfmN H hNPOYYX[PhlZ N H QR[]O| H [ JUNPbM^e[]ZaringNPQsOOeYZjbdM H MN H Q H centEgraveJUbn[]ZOslashJUY`bn[]OWVH QcOj[]jYZfVm^eJLKEgraveJUO^eJUO H []O NPO JUP[]fsj H QR[]O KNihNSZOslashJ H JLhagrave^MeJ`bnhQ H JLhQR[]Ocent=JUbn[]ZaringJUYT^eJLKEgraveJUO^eJUO H []Obagravearingocirc|aagravejgaacute ocirc|adOumlcopytimesOslashaagravejszliglOuml UgraveUcircUacuteUuml aagravejszligYYacuteaagravejj^QO H MQcY^mBONSZaringQcbLNPfTYbMeJZOslashJSeiexclWFJ bLNPO hJUNP^QcfVm H N`PJQcO H [ NPbLbn[]jO H N K=[]YYZQRcentfRJU~NihQsN H QR[]O[SX H MeJ ^eJUYZbnhdQRK H [PhYWQ H M H MeJJUP[]fVUWQcO[ hZJ[]QR[]OYk|adOuml times j aacuteOumlcopytimesaagravej^

^QiexclJLhdQVU~N H Qc[]O [SX H MeJaumlbnhQ H JLhQc[]O jYZQcO[OslashYZMNiK=JOtilde[PK H QZaringQVcurrenUN H QR[]O H MJL[PhZJZaringYaringMeJNtildebnhdQ H JLhQR[]OocircOcircaagravej9QcY H MeJUOIacute^JLhQVUPJU^TNPbLbn[Phd^QcO[ H [5agrave H MNPO`WY H [ H MeJFbn[]ZaeligVKj H N H QR[]Oeuml[SX H MeJ0jfRJLhQcNPOeuml^eJLhQU~N H QVUPJaelig[SX_ocircjYZQcO[YZMNiKEgraveJaelig[PK H QZ QVcurrenUN H QR[]OKhQcObLQcKfRJUYeOWMQcbMQcYIacuteOJWQsO H MeJNihZJUN [SXNPb H QVUPJ bn[]O H []jehY^$ YXqNihOslashNPYH MeJF^JLhQVUiN H QR[]OTQcYbn[]ObnJLhOeJU^e H MeJU~NihdQcN H QR[]OIacute[SX H MeJF^JUYZbnhQRK H [PhdYWQ H M H MeJJUP[]fVUBQsO[OslashhZJ[]QR[]OY_Oumlcopytimesaagravej(NPO^Y[ordmWQ H MagravetZIacutejY H centEgraveJ H N`PJUOaQcO H [aringNPbLbn[]jO H ^

^vF[]ZOslashKj H N H Qc[]O [SX H MJaumlJUP[]fcj H QR[]OJjN H Qc[]OXh[]Z H MeJauml^eJLhQU~N H QVUPJSaringnot hZ[]Z H MeJNtilde^JLhQVUiN H QVUPJSeWFJNtilde^eJU^jbnJ H MeJUPJUfR[WbLQ H mordfUPJUb H [Ph$[SX H MeJFNPb H QVUPJbn[]OWVH []jeh H MN H WiexclQcfcfZaringN`PJQ H JUP[]fUPJiexclNPYXqNPY H NPY$KEgrave[]YZYQRcentfRJ H [WNih^YNtildeNgZaringQcOQCZIacutejFZ[SX H MeJOtildebnhQ H JLhdQR[]OO^ObLNPYJUacute[SX9hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhYe H MeJUacuteJUP[]fcjWVH QR[]OeumlJjN H QR[]Oeuml[SX H MJaringNPb H QVUPJaringbn[]O H []jhTQcYOtilde^QEgraveJLhZJUO H XhZ[]Z H MJtimes[]OJaringbn[]ZaeligVKj H JU^ Xiacute[Ph hZJ[]QR[]OWV4QcO^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhY^ G []ZOslashJ`NP^^Q H QR[]ONPf H JLhZaringYNiKKEgraveJUNihiexclNPO^`Y[ Q H QcY[SX$KhdQZOslashJaumlOeJUbnJUYZYQ H m H [bn[]OYZQc^JLh H MeJ H WNtilde[o`WQcO^Y([SX^eJUYZbnhQRK H [PhY(YJLKNihN H JUfmS^

9J H jYFOe[ H J H MN HFH MQcY[PJUOeJLhNPfKXiacutehNSZOslashJWF[PhY` bLNPO centEgraveJNiKK-fcQRJU^ H [ordmZaringNPOm ^QEgraveJLhVJUO H NiKKfsQcbLN H QR[]OYcentm[]OfVmbMNPO[]QsO[ H MeJT^eJUYbnhQRK H [PhY^ H MNPYcentEgraveJLJUOOe[ H NicentfmNiKK-fcQRJU^ H [ordmZOslash[UBQsO[aelig[Pcent~5JUb H Y(^J H JUb H QR[]O QcOoUBQs^eJL[timesYZJjeJUObnJUY(NPbjQchZJU^ JUQ H MeJLhWQ H MN Y H N H QcbawS]JUMNPOWV4XFJUYZY[]O J H NPfd^Ve sSs fLbjiexcl[PhUacuteNregZOslash[Pcent-QcfRJTbLNSZOslashJLhdNawS]JUMNPOWVXFJUYZY[]O J H NPf)^Ve sSs fncentj^ JUYZbnhQRK H [PhdYoZ Nm NPfcY[centEgraveJ YJBjeJUO H QcNPfcfVm jYJU^ H [QZaringKhZ[UPJ H MeJu-ONPfBhZJUYZjf H NPYyQ H MNPYampcentEgraveJLJUOaeligKh[PK=[]YZJU^timesQsOtawSPJUMNPOWV4XFJUYZYZ[]OOslashJ H NPfd^VesSs fLNOgravej^^f^~OacuteETHEgraveKEacute18=KETH32EacuteltOacuterEacute0frac34Ntilde83ltOacuteONtildeshyIacute=gtNtildeshyEumltIcirc=39IgraveFIacute5Igrave O QZaringN[PJumlOtildegta2atildeltszligaumlj QcYNxXqjOb H QR[]O ^eJOJU^ Xiacute[Phpounda2atildeshyszligaumlFj OumlOcirccenteuWMeJLhZJOumloslashQcY H MeJ QZaringN[PJ ^e[]ZaringNPQcOO^ltMeJ QCZaringN[PJ ^e[]Z NPQcOQcYIacutebn[]OYZQc^eJLhJU^ H [ cent=JZaringNP^eJjeK`[SX H WF[KNih H Ylaquoa not Q[^fjaring H MJyXiacute[PhZJ[PhZ[]jO^`KNih H bn[]O H NPQsOQcO[ H MeJT[Pcent~JUb H Y H [

uumlnyacute|thornLyuml13

f s $amp)(+-)013021+345627893lt=gt9A6CBYJ[]ZaringJUO H e=Oe[ H JU^frac34OumlcopytimesOslashFe-NPO^ H MeJaumlcent-NPbY`[PhZ[]jO^aKNih H Oe[ H JU^Ouml UgraveUcircUacuteUuml ^MeJauml^QcYZbn[]OWVH QcOBjQ H m`YJ H QcYOtildeNbLjehlUPJ Oe[ H JU^bYacute H MN H ^JOeJUY H MeJ cent=[]jO^NihYmcentEgraveJ H WNtildeJLJUO H MeJH WNtilde[ ^[]ZaringNPQcOY^ J H MJUOaYJUNihbdMtXiacute[Ph H MeJ H WNtilde[^e[]ZaringNPQsOYyacuteOuml UgraveUcircUacuteUuml NPO^wOumlutimes OslashWMQcbdMtZaringQcOQZaringQVcurrenLJ H MeJbnhQ H JLhQR[]Oocircuml[]QVUPJUOcentmumla2jehZJZaringQcO^eJU^ MeJLhZJSaring

ocirc|adOuml UgraveUcircUacuteUuml szliglOumlcopytimesOslashgtszligYYacuteQjumlaacute uuml thorn UgraveUcircUacuteUuml yuml a2atildeltszligaumlgtszliglOuml UgraveUacuteUuml j atilde auml $ uuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOuml timesOslash j atilde aumlamp uacuteucirc thorn yuml uuml thorn otilde)yuml a2atildeshyszligaumlFj THORN5OaumlbnhQ H JLhdQR[]Oa2je H MeJ|hY HH WNtilde[ H JLhlZaringY9NihJyhZJ[]QR[]OWVcent-NPYJU^ordfWMQsfRJ H MeJ H MQRhd^ H JLhlZQcYcentEgrave[]jO^NihYmVcentNPYJU^O^MeJiexclXqjOb H QR[]OYyacuteuuml thorn UgraveUcircUacuteUuml yuml egtuuml thorn timesOslash yuml NPO^tuuml thorn otilde)yuml NihZJaumlhZJUYKEgraveJUb H QVUPJUfmH MeJ^eJUYZbnhdQRK H [PhY[SX H MeJFcentNPbl`[PhZ[]jO^timesKNih H ei[SX H MeJ[Pcent~JUb H Y H [OtildeYJ[]ZOslashJUO H NPO^Iacute[SXH MeJaumlbn[]O H []jeh^KMeJauml^eJUYbnhQRK H [PhYuZ Nm centEgraveJordf[]fR[PcentNPfcfm N HH NPbMJU^ H [ H MeJOtildeJUP[]fVUWQcO[hZJ[]Qc[]OY(NPO^Y[ ^eJLKEgraveJUO^ []Ofrac34Ouml timesOslash [Ph5OumluUgraveUcircUacuteUuml^

G QcObnJ H MeJaringYJ H [SXNtildeNPfsf$^e[]ZaringNPQcOYUacuteMNPYOtildeO[ H N Y H hjb H jehJtimes[SXUPJUb H [PhQcNPfyYZKNPbnJSeWFJIacutebLNPOeumlOe[ H bn[]ZOslashKj H J H MeJaelig^eJLhQVUiN H QVUPJT[SX H MJIacuteKhJUBQR[]jYbnhQ H JLhdQR[]OaNPbLbn[Ph^QcO[H [euml^e[]ZaringNPQcOY^ltMJLhZJX[PhJSe H [bn[]ZOslashKj H JNPO[PK H QZaringNPfFY[]fcj H Qc[]OOe9Neuml^mWONSZaringQcbLNPfYZbdMeJZOslashJOtildeQcYQcO H hZ[W^jbnJU^WMeJLhZJJUNPbM^[]ZaringNPQcO cent=JUbn[]ZaringJUY(bn[]O H QcOBje[]jYfVm ^eJLKEgraveJUOWV^eJUO H []ONPO JUP[]fcj H QR[]O KNihdNSZOslashJ H JLhagrave^59[ X[PhZaringNPfcQVcurrenLJ H MQcYQc^eJUNe WNtildeJxZaringNmYZjKKEgrave[]YJ H MN HTH MJ JUP[]fcj H Qc[]OKhZ[WbnJUYZYtimesQcY H [ H NPfsfVm^eJ H JLhlZaringQcOJU^centm H MJ JkeQcY5VH JUObnJiexcl[SXgNyXqNSZaringQcfmIacute[SXgNiKK-fcQcbLN H QR[]OY| H MN HNtildeH hNPOYXiacute[PhlZaringY H MeJiexclQsOQ H QcNPfe^e[]Z NPQcOYOumlcopytimesOslashgta s jNPO^tOuml UgraveUcircUacuteUuml a s jQsO H [ H MeJIacutebLjehZhZJUO H ^e[]ZaringNPQcOYyacuteOumlcopytimesOslashKaagravejNPO^frac34Ouml UgraveUcircUacuteUuml aagravejaring

OumlutimesUcirca s j ntilde OumlcopytimesaagravejYacutea s j ntilde Yacuteaagravej WiexclMeJLhZJVQaacuteiV[Ph Kf5 iumlMBjY H MeJOtildehJ[]QR[]OY(JUP[]fVUPJ H [WNih^YiexclNPO [PK H QZaringNPf9Y[]fcj H QR[]O^MeJ H hQRKfcJ H Ouml UgraveUcircUacuteUuml aagravejszliglOumlcopytimesOslashOaagravejszligYYacuteaagravejordmZIacutejY H NPb H NPYNregZaringQcOQZ QVcurrenUQcO[TYZJjeJUObnJgX[Phocirc|adOuml UgraveUcircUacuteUuml szliglOumlcopytimesOslashszligYYacutejWiexclMeJUOagrave JUP[]fVUPJUY^MeJ5XqjOb H QR[]ONPfOocircOcircadOuml UgraveUacuteUuml aagravejszliglOumlcopytimesOslashaagravejszligYYacuteaagravejjMNPY H [ bn[]OOgraveUPJLhY[PJ H [WNih^Y H MeJpoundZaringQcOQCZIacutejFZ UiNPfcjeJeuml[SXregocirc2NPYfrac34agraveacircntilde ograveegrave^ MeJbnhQ H JLhQR[]O H MeJUO centEgraveJUbn[]ZOslashJUYaring

ocirc|adOuml UgraveUcircUacuteUuml aagravejszliglOumlcopytimesOslashaagravejszligYYacuteaagravejjaacute thorn yuml uuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszliglOuml UgraveUcircUacuteUuml aagravejj atilde auml 5$ thorn yuml uuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashKaagravejj atilde aumlj uacuteucirc thorn yuml uuml thorn otilde)yuml a2atildeshyszligaumlFj THORN adh]jMJoXqjOb H Qc[]ONPf_ocircOcircadOumlyacuteUgraveUacuteUumllaagravejszliglOuml timesOslash aagravejszligYYacuteaagravejjaeligQcY H MeJLhZJUNX H JLh O[ H JU^egraveocirc|aagraveje0NPO^H MeJ ^eJUYZbnhQcK H [PhYuuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashKaagravejj NPO^icircuuml thorn UgraveUcircUacuteUuml yuml a2atildeltszligaumlgtszliglOuml UgraveUcircUacuteUuml aagravejjaringNihZJ`hZJUYKEgraveJUb|VH QVUPJUfmUacuteO[ H JU^laquouuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejgNPO^laquouuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszligYagravejeWMQcbdMTfRJUNP^Y H [ H MeJXiacute[]fcfR[WQcO[

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ fSfJkWKhZJUYZYQR[]OOaring

ocirc|aagravejumlaacute thorn yuml uuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszligYagravej atilde auml $ thorn yuml uumlgtthorn timesOslash yuml a2atildeltszligaumlgtszligYagravej atilde aumlj uacuteucirc thorn yuml uumlgtthorn otilde)yuml a2atildeshyszligaumlFj THORN af s j5OOtildebn[]O H hdNPY H WQ H MUacute[ H MeJLh9NPb H QVUPJFbn[]O H []jehdY9NiKKh[]NPbMeJUYe H MeJy^mWONSZaringQcbLNPfPYZbdMeJZOslashJQcYtimesMeJLhZJ^QRhJUb H fVmQcO H h[B^jbnJU^QcO H MeJbnhQ H JLhQc[]OO^ Q H MYZjbdMNeumlYZbdMeJZOslashJSe H MeJQcO H hZ[W^jb H QR[]OOacute[SXiexclNPO NPb H QVUPJbn[]O H []jehOslashJUP[]fVUWQcO[ WQ H Msup1agraveQcYaeligY H hNPQ[]M H Xiacute[PhYWNih^O^iexclJUObnJ WNtildeJbn[]OYZQc^eJLh H MN H Yacuteaagravej QsYoZaring[B^eJUfsfRJU^ NPY NPO NPb H QUPJOacutebn[]O H []jh H MN Hbn[]OUPJLhY[PJUY H [WNih^Y H MJgONPfEgraveJkWKEgraveJUb H JU^YJ[]ZOslashJUO H N H QR[]OO^9J H Yacutea s jtimescentEgraveJ H MeJQcOQ H QcNPfNtildebLjhYUPJa^eJOJU^centm H MeJjYJLh^ JahZJUbLNPfcf H MN H WFJYJUNihdbMtXiacute[Ph YacuteaagravejNPYNaringbLjehlUPJaumlJUP[]fVUWQcO[aringNPbLbn[Ph^QsO[ H [ H MeJgXiacute[]fcfR[WQcO[ordm5 aringaelig YacuteadTHORNOgraveszligYagravejaelig agrave aacuteegraveeuml WiexclQ H MigraveYacutea s j|aacuteegraveYacuteshyiacute afSfjWMJLhZJ_euml`QcY H MJ_UPJUfR[WbLQ H mUPJUb H [Ph([SX H MeJUacuteNPb H QVUPJOtildebn[]O H []jh^MeJ_Z NPQcO KhZ[PcentfRJZfcQcJUYFQsO-O^QcO[ H MeJiexclUPJUfR[WbLQ H meumlXhZ[]Z H MJUacutebnhdQ H JLhQR[]Opoundaf s jFQcO [Ph^JLh H [ordm[PJ HH MeJXqNPY H JUY H bLjhYUPJaumlJUP[]fcj H Qc[]O H [WNih^Y H MeJordfONPfYJ[]ZaringJUO H N H QR[]O^^ ^iexclEacuteltIacuteETHNtildeFETHEacuteshyOacute Eacute10wETH9Igrave8ltIgraveFEgravegt+NtildeFETH3gt+ltIgraveumlEacute10frac34ETH9Igrave=KEgrave13ETHIgraveFEgraveEacuteshyOacute5Oeuml[Ph^eJLh H [ [Pcent H NPQsO H MeJOslashJUP[]fcj H QR[]OeumlJBjN H QR[]Oe H MeJaringbnhQ H JLhQc[]OxocircOcircaagravej5ZtimesjY H centEgraveJ^QV=JLhZJUO H QcN H JU^WQ H MhZJUYKEgraveJUb H(H [agrave^MeJOtildeQcO H J[PhNPfcentEgrave[]jO^Y^eJLKEgraveJUO^ []Otagrave NPO^H MeJauml^JUYZbnhQRK H [PhdYyacuteuuml thorn UgraveUcircUacuteUuml yuml a)jNPO^wuuml thorn times Oslash yuml a)juZaringNm NPfcY[aring^JLK=JUO^[]Otagrave^9J H jY^eJOJ H MeJordfXiacutejOb H QR[]ONPfuumlOa2atildeltszligaumlgtszligYagravejYZjbM H MN H aring

uumlOa2atildeltszligaumlgtszligYagravej|aacute uuml thorn UgraveUacuteUuml yuml a2atildeltszligaumlgtszligYagravej QVXcopya2atildeltszligaumljwOuml UgraveUcircUacuteUuml aagravejuuml thorn times Oslash yuml a2atildeltszligaumlgtszligYagravej QVXcopya2atildeshyszligaumlFjtOumlcopytimesOslashKaagravej af jMJbXqjOb H QR[]ONPfuuml thorn UgraveUcircUacuteUuml yuml a)jNPO^Huuml thorn times Oslash yuml a)j`NihZJ^eJOJU^ []O H MeJxWMe[]fRJ7QZaringN[PJ^e[]Z NPQcOtOumliexcl^FMeJUOe H MeJaumlbnhQ H JLhQc[]OocircOcircaagravejuWhQ H JUY(NPYaring

ocirc|aagravejOcircaacute uacute uumlOa2atildeshyszligaumlKszligYagravej atilde aumlj uacuteucirc thorn yuml uumlgtthorn otilde)yuml a2atildeshyszligaumlFj THORNordfaacuteocirc aagravej ocirc cent aagravej af]jWMJLhZJgOuml QcY H MeJaumlQCZaringN[PJT^e[]ZaringNPQsOOeeNPO^Oaring

ocirc aagravej|aacute uacute uumlOa2atildeshyszligaumlKszligYagravej atilde aumlocirc cent aagravejOcircaacute uacuteucirc thorn yuml uuml thorn otilde)yuml a2atildeshyszligaumlFj THORN

uumlnyacutenthornnyumll13YSordmY_F

f $amp)(+-)013021+345627893lt=gt9A6CB5OOtilde[Ph^eJLh H [bn[]ZaringKj H J H MJ0^eJLhQVUiN H QVUPJy[SX H MJNtildebnhQ H JLhdQR[]Olaquoocirc aagraveje H MJNtilde^QcYbn[]O H QcOBjWVQ H QcJUY|ZtimesjY H JkWKfcQcbLQ H fVmIacutecentEgraveJ H N`PJUOQcO H [IacuteNPbLbn[]jO H ^ not [Ph(YZjbdM NIacuteKjehZKEgrave[]YJSeSWFJ5hY HhZJUbLNPfsf-N[PJUOeJLhNPf H MeJL[PhJZbn[]ObnJLhOQcO[ H MeJUacute^eJLhQVUiN H QVUPJ[SX9N H QZOslashJnV4^eJLKEgraveJUO^JUO HbnhQ H JLhQR[]OO^9J H jY(^eJ-OeJyOumlcopytimesaagravejNPYNOslashhZJ[]Qc[]OQcObLfcj^eJU^QcO H [regOumlordf^yacute5 q Ntilde_ f^1ltuumlStimesBiexcl centpoundcurrenyencurrenbrvbarsectumlordfcopynotlaquo3shyyenLregmacrcurrenRlaquodegcurrenbrvbarlaquo Oumlplusmna s szligsup2|iexcljsup3acute Rlaquomicromiddotparagtltocirc|aagravejOcircaacute w thorn yuml uumlStimesYa2atildeltszligaumlgtszligYagravej atilde auml~sup3cedilsectsup1ltlaquoordm ocirc agrave aacuteocirc7raquodaagravejOcircaacute thorn yuml aelig uumlStimesaelig agrave atilde auml uacutefrac14 thorn yuml uumlStimesYafrac34frac12 eacuteAgraveiquestsup1AacuteAtildeAcircYj THORNAuml sectsup1ltAringPfrac12AEligreg(centsectsup1Ccedilbrvbar_paracurrenyenshyltregLLEgraveacutecurrensup2uml aelig Oumlcopytimesaagravej RlaquomicroeacuteAgraveiquestsup1AacuteAtildeAcircEacuteregEcirccentsectsup1copysup1laquoregEumlreg(laquo Auml brvbarAringsup2microacutelaquocurrenRAringordfpound RparaIgravecurren aelig Oumlcopytimesaagravej_IacuteMJ^JLhQVUiN H QVUPJ[SXshyocircWQ H MaelighZJUYZK=JUb HampH [yagraveaeligQcY H MJyacute0jfRJLhdQcNPOIacute^JLhQVUiN H QVUPJ([SXocirc|adOumlcopytimesAjQcO H MeJOtilde^QRhJUb H QR[]O [SXEumlfrac12umleWMQcbdM bn[]ZaringKj H N H QR[]O QcY[]QVUPJUO QsO iexclKKEgraveJUO^Qkaring ^FMeJUiNihQcN H QR[]Oeuml[SX5ocirc QcYOtilde^jeJ H [ H MeJUiNihQcN H Qc[]O[SX H MeJordmXiacutejOb H QR[]ONPfOcircuuml]timesa2atildeltszligaumlgtszligYagravejaumlNPO^H [ H MeJgZOslash[ H Qc[]O[SX H MeJOtildeQcO H J[PhNPf^e[]ZaringNPQsOOumlutimesaagravej^ Y(Naeligbn[PhZ[]fcfcNihYm [SXltMJL[PhZJZfeFWFJordf[PJ H aringv q q shy9 5lt f^yenIcirccopyNcentampcentcopyIuml-Iumlsup1currenfcentyenYsectnot -sectsup1Ymicro-currenRpound Rreglaquofrac34Oumlgaagravejampreg(centpound -microETHcopyIumliexclcurrensup2uml Auml currenCIuml RAringordfcentsup3yOuml timesOslash aagravejNtilde RlaquomicropoundOumlyacuteUgraveUacuteUumllaagravejOgravecentyenfrac34Iumlsup1 brvbarAringsup2 brvbarmicro_Egraveh iexclpoundYcurrenbrvbarCcedildreglaquoNOacutehreglaquo5_Aringumllt -shytYacuteaagravejAuml sectETHregmacrshy_sectOcircCcedilRltparaOtildecurrendshyltregLLEgraveregEcirccentyacuteeumlEumlIacuteOumlsectsup1Uumlordfcopynotlaquo3shyyenLregmacrcurrenRlaquouumlOa2atildeltszligaumlgtszligYagravejreg(centcentordfcopyIuml-Iumlsup1currenfcentyenmicroOcircIgravecurrenOcirccentltfrac34Iuml RAringsup2 -_paraEgraveshycurrenRlaquo5LreglaquocopycurrenRcopynotcentcedilreglaquoyOumlcopytimesOslashKaagravejW Rlaquomicro Ouml UgraveUcircUacuteUuml aagravej_copy3pound REgraveampJmicrobrvbarregEcirccentltshycurrenRlaquo5LreglaquocopycurrenRcopynotcentJ -shyltAringPcurrenfcentcentYacuteaagravej_Iacutetimes Agravelaquocurrenbrvbaruuml thorn times Oslash yuml Rlaquomicroruuml thorn UgraveUcircUacuteUuml yuml sup3sectsup1Ccedilf brvbarparacopy5iexclcurrensup2umlwuumlreglaquoOslashAringordfcentIumlshydLreg(Ccedilbrvbar_paraEgraverOumlutimes OslashaagravejAgrave Rlaquo3microOuml UgraveUcircUacuteUuml aagravej_IacuteUgraveOumlsectNcopyNcentampsectmicroETH_Aringordfreg(CcedilR brvbarLregCcedilRcurrensup2umlordfocirc|aagravej Auml AringregLordfcent fcent_ordm

ocirc7raquo)aagravejOcircaacuteUacute thorn yuml aelig uumlaelig agrave atilde auml uacutefrac14 thorn yuml uumlOaLUcirc eacute iquestsup1Aacute j THORN uacuteucirc thorn yuml uumlNaeuml eacuteHj THORNAuml sectsup1ltAringPacute uumlNAringfrac34Iuml3AringP_centlt_laquocentYsectUumlordfcopysup1poundUgraveIumlcurrensup2umlguumlh -shyltAringPcurrenfcentcentordfYacuteaagravej_ordmW uumlNaacuteacircuuml thorn UgraveUacuteUuml yuml uuml thorn times Oslash yuml sup3eacute sectsup1ncopynotlaquo5reglaquo3currenRAringpound RparaIcirccurrensup2umlordfYacuteaagravejmicrobrvbarreg(AringshydmicroampumlAringPcurrenRpound Ouml UgraveUacuteUuml aagravejIgravecurrenOumlutimes OslashKaagravejsup3eacuteAgraveiquestsup1Aacutesectcopysup1laquoregLEumlreglaquo Auml RAringPmicroOcirclaquocurrenRAringordfpound Rpara1Igravecurren aelig Oumlgaagravejj RlaquomicroUcircYacutesectsup1jCcedilbrvbar_paracurrenyenshyltregLLEgravenCcedilbrvbarshydIgravecurrenRAringjcurrensup2uml_Oumlyaagravej_Iacute

plusmngLMOMraquo aring JbLNPO NiKKfVm MJL[PhZJZ f H [ H MeJ ^[]ZaringNPQcO Oumlutimes OslashaagravejaringNPO^ H [ H MeJ^e[]Z NPQcOtOuml UgraveUcircUacuteUuml aagravej^ ^^QcO[ H MeJ H WF[aringJjN H QR[]OYeFWFJOtilde[Pcent H NPQcO H MeJTbn[PhZ[]fcfsNihYmS^ H QcYIacuteOe[WY H hNPQ[]M H Xiacute[PhYWNih^ H [[PJ HtimesH MeJ ^eJLhdQVU~N H QUPJ [SX H MeJ bnhQ H JLhQR[]O ocirc aagravejaringWFJ H N`PJ5OumlyaagravejOcircaacuteAumlOuml H MeJiexclQZaringN[PJ^e[]Z NPQcOta not QV[^ j^MJUOOePcentmaeligJkWKfcQcbLQ H fVm H N`WQcO[

uumlnyacutenthornnyumll13YSordmY_FY

yenKbrvbarsect =4 acirc $ fH MeJtimes^QcYZbn[]O H QcOBjQ H QRJUY(QsO H [ NPbLbn[]jO HUacuteH MNPOF`BY H [ H MeJtimesbn[PhZ[]fcfcNihlmSe H MeJtimes^eJLhQVUiN H QVUPJ[SXocirc aagravejQcYcopy[]QVUPJUOacentmKaring

ocirc raquo aagravejumlaacute uacuteucirc thorn yuml uumlNaeuml eacutej THORN uacutefrac14 uumlOaLUcirc eacuteAgraveiquestsup1Aacutej THORN $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde auml thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afj

q centUWQR[]jYZfVmSe H MeJ7YJUbn[]O^ H JLhlZ [SX H MeJ7^eJLhQVUiN H QVUPJ afjaQcYcurrenLJLh[ YZQcObnJ H MeJJk H JLhONPf(centEgrave[]jO^NihYm aelig OumlD[SX H MeJ`QZaringN[PJaQcYkBJU^^OcircJLKfcNPbLQsO[` uumlN_WQ H MQ H YJkWKhZJUYZYQR[]OOeWNtildeJyO^Oaring

ocirc7raquo aagravejumlaacute uacuteucirc thorn yuml aduuml thorn UgraveUcircUacuteUuml yuml1 uuml thorn timesOslash yuml jaeuml eacuteHj THORN $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde auml thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afmacr]jMJUacute^JLhQVUiN H QVUPJOtilde[SXocirc cent aagravejQcY(bLfcNPYZYQcbLNPfdaring

ocirc7raquocent aagravejOcircaacute uacuteucirc thorn yuml a uuml thorn otilde)yumld huuml thorn otilde)yuml7 eacutejaeuml eacutej THORN af]jWMJLhZJ a2atildeshyszligaumlKszligYagravejQcY H MeJaumlbLjehlU~N H jehJ[SXQYacutea2atildeltszligaumlgtszligYagravej^MeJLhZJXiacute[PhZJSe H MeJOtilde^eJLhQVUiN H QVUPJ[SX H MeJgWM[]fRJOtildebnhQ H JLhQR[]O QsY H MeJordfXiacute[]fcfR[WiexclQcO[aring

ocirc raquo aagravejpoundaacute $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde aumlamp thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afzSj uacuteucirc thorn yuml aduuml thorn UgraveUcircUacuteUuml yuml uuml thorn timesOslash yuml uuml thorn otilde)yuml huuml thorn otilde)yuml eacutejaeuml eacutej THORN

^ ^~THORNUgrave2FEgraveOIgraveIcircIcirclt2EacuteltOacute Eacute0frac34ETH9Igrave8shyIgraveFEgraveEcirc+NtildeFETH3Ecirc+ltIgraveNtilde7==EacuteltEgrave7813Oacute14 ETHOEacute ETH9IgraveOacuteszligltOacuteshyEacuteOacuteAgrave+QIgraveFEumlEacuteAtilde=13ETH+ltIgrave5=KETHOEacuteshyEgravesup1euml5Oaelig[Ph^eJLh H [Tbn[]ZaringKj H J H MeJuUPJUfR[WbLQ H mUPJUb H [PhcopyeumleSWNtildeJMNUPJ H [yZ N`PJQ H NiKKEgraveJUNihyQcOH MeJhY HH WF[ ^e[]Z NPQcOaQcO H J[PhNPfcYiexcl[SX afzSjcentmJkWKhZJUYZYQcO[ H MeJZ NPY_XiacutejOb H QR[]OY[SX H MeJgUPJUfR[WbLQ H meumlQ^iexclJLhZJiexclWFJ H N`PJ H MeJ5[PJUOeJLhNPfbLNPYZJ5WiexclMeJLhZJ H MeJ^JUYZbnhQRK H [PhdYZaringNm ^eJLKEgraveJUO^ []OXiacuteJUN H jehZJUY5[]fR[PcentNPfsfVmN HH NPbMeJU^ H [ H MJtimeshJ[]QR[]OeumlNPO^eumlY[oZ Nm`^JLK=JUO^a[]O agrave^ JZOslash[W^eJUf$JUNPbdM^eJUYZbnhQRK H [PhIacuteNPYtimesNabn[]ZIacutecentQcON H QR[]OOacute[SXuXJUN H jhZJUYy[]fc[PcentNPfcfVmeumlN HH NPbMeJU^

uumlnyacutenthornnyumll13YSordmY_F

f $amp)(+-)013021+345627893lt=gt9A6CBH [ H MJOtildeJUP[]fVUBQsO[OslashhZJ[]QR[]OY_OumlcopytimesOslashKaagravejF[Ph_Ouml UgraveUacuteUuml aagravejaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejpoundaacuteAElig thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn timesOslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejszligiumlViumlViumlVszligagrave thorn timesOslash yumlaacute aagravejjuuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszligYagravejpoundaacuteAElig thorn UgraveUcircUacuteUuml yuml a2atildeltszligaumlgtszligagrave thorn UgraveUcircUacuteUuml yuml aagravejszligagrave thorn UgraveUcircUacuteUuml yumlcent aagravejszligiumlViumlViumlVszligagrave thorn UgraveUcircUacuteUuml yumlacirc aagravejjafi]j

WMJLhZJSaring agrave thorn(atilde yumlauml aacute 7aring thorn yuml5aelig thorn(atilde yumlauml a2atildeltszligaumlgtszligYagravej atilde auml WQ H Mpounda jOcircaacuteacircaVltjF[Pha Kf5 jiuml afh]j9J H jYuhY H bn[]ZOslashKj H J H MeJIacute^eJLhQVUiN H QVUPJOtilde[SXuuml thorn timesOslash yuml eFWFJgO^Oaring

aelig uuml thorn times Oslash yumlaelig agrave aacute aacuteccedilaumlegrave aelig thorn timesOslash yumlaelig agrave thorn times Oslash yumlauml a2atildeltszligaumlgtszligagrave thorn timesOslash yuml aagravejszligiumlViumlViumlVszligagrave thorn timesOslash yumlaacute aagravejj aelig agrave thorn timesOslash yumlaumlaelig agrave aagravej a s j J MNUPJOe[W H [bn[]ZOslashKj H J H MeJ ^eJLhdQVU~N H QUPJ [SXagrave thorn timesOslash yumlauml NPbLbn[Ph^QcO[ H [umlagrave^ JNiKK-fVm H MeJgMeJL[PhZJZigravefaumlNPO^WNtildeJy[PJ H aring

aelig agrave thorn timesOslash yumlaumlaelig agrave aacute $ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde auml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacutej THORN a fj

JLKfcNPbLQcO[ H MeJNtilde^eJLhdQVU~N H QUPJUY9[SX3agrave thorn timesOslash yumlauml WQ H M H MeJUQRhJkWKhZJUYZYZQc[]OYa fj9QcOa s jeSWFJ[Pcent H NPQsO H MJXiacute[]fcfR[WQcO[iexclJkBKhJUYZYZQR[]OX[Ph H MJF^e[]Z NPQcOaeligQcO H J[PhdNPf[SX H MeJ^eJLhQVUiN H QVUPJ[SX H MeJT^eJUYbnhQRK H [Ph uuml thorn times Oslash yuml aring

$ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde aumlacircaacute aacuteccedilaumlordfegrave -eacute thorn timesOslash yumlauml $ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde auml

aacuteccedilaumlordfegrave eacute thorn timesOslash yumlauml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacuteHj THORN a S jWMJLhZJSaring

eacute thorn timesOslash yumlauml aacute $ thorn yuml aelig thorn timesOslash yumlaelig agrave thorn timesOslash yumlauml a2atildeltszligaumlgtszligagrave thorn timesOslash yuml aagravejszligiumlViumlViumlVszligagrave thorn times Oslash yumlaacute aagravejj atilde auml a ]jMJIacuteJkWKhZJUYZYQR[]OwXiacute[Pha jyacuteaacute a Kf jiexclQcYbn[]ZOslashKj H JU^QsO H MeJaeligYZNSZOslashJordmZaringNPOOeJLhiexclWMQcfRJKNmBQsO[N HH JUO H Qc[]O H [ H MeJ`^QRhZJUb H QR[]O[SX H MeJ`Oe[PhlZaringNPfcopyUPJUb H [PheNPO^rWFJ H MBjY

uumlnyacutenthornnyumll13YSordmY_Fsup2

yenKbrvbarsect =4 acirc $ fmacr[Pcent H NPQsO H MeJg[PJUOeJLhNPfgJkBKhJUYZYZQR[]OXiacute[Ph H MeJauml^JLhQVUiN H QVUPJOtilde[SXocircOcircaagravejaring

ocirc raquo aagravejumlaacute uacuteucirc thorn yuml aduumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn times Oslash yuml uumlgtthorn otilde)yuml d hreguumlgtthorn otilde)yuml eacuteHjaeuml eacutej THORN aacuteccedilaumlordfegrave eacute thorn timesOslash yumlauml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacuteHj THORN acircccedilaumlordfegrave eacute thorn UgraveUcircUacuteUuml yumlauml uacuteucirc thorn yuml aelig thorn UgraveUcircUacuteUuml yumlauml aeuml eacutej THORN aacuteccedilaumlordfegrave -eacute thorn timesOslash yumlauml $ thorn yuml aelig aelig thorn

timesOslash yumlaumlaelig agrave atilde auml acircccedilaumlordfegrave eacute thorn UgraveUcircUacuteUuml yumlauml thorn yuml aelig aelig thorn

UgraveUcircUacuteUuml yumlaumlaelig agrave atilde auml a j^ ^ecirccopyEgraveEacuteshyIacuteIumlETH39shyIgrave8shyIgraveFEgraveEcirc+NtildeFETH3gt+QIgraveETHOEacute3iexclNtildeshyEgrave78QIcircETH9IgraveumlIgrave+EacuteltEumlETHshyETHEacuteshyOacuterIgrave5euml1ONtildeFETH32EacuteltOacuteEacute10wETH9Igrave Ntilde=KETH3gt+ltIgrave=EacuteshyOacuteshyETHEacute1EgraveMJ[P[]NPf[SX H MQsYampKNih H QcY H [aumlbn[]ZOslashK-j H J H MeJ(JkWKhZJUYZYZQc[]Oaelig[SX H MeJuUPJUfc[BbLQ H mUPJUb H [PheumlwWMQcbdMregZaringN`PJUY H MeJUacutebLjehYUPJJUP[]fVUPJOtildeNPYXiacuteNPY H NPYFKEgrave[]YZYZQRcent-fRJ H [WNih^Y(NZaringQcOQCZIacutejFZ[SX H MeJaeligbnhQ H JLhdQR[]Oumlocirc^KO`[Ph^eJLh H [ ^JU^jbnJ H MJyUPJUfR[WbLQ H mwUPJUb H [PhOtilde[SX H MeJaeligNPb H QVUPJbn[]O H []jehQXhZ[]Z H MeJF^eJLhQVUiN H QVUPJ0[SX H MeJNtildebnhQ H JLhQR[]OOeWFJMNUPJ H [5Z N`PJFNiKKEgraveJUNih H MeJUPJUfR[WbLQ H moUPJUb H [PhUacuteQcO H MJTfcNPY HH WNtilde[ ^e[]ZaringNPQcOaQcO H J[PhdNPfcY(centm JkWKhZJUYYZQcO[ H MeJZ NPYcentEgrave[]jO^NihYm QcO H J[PhNPfcY^FMQcYbLNPOaJUNPYZQcfVm centEgraveJauml^e[]OeJTjYZQcO[MJL[PhZJZigravefe-^[]ZaringNPQcOQcO H J[PhNPfcYbLNPOeumlNPfVWNmWYiexclcentEgraveJIacuteJkBKhJUYZYJU^ NPYcentEgrave[]jO^NihYm QcO H J[PhdNPfcY^gtiexcl[WFJUPJLheOXiacute[PhYZQCZOslashKfcQcbLQ H mSe-fcJ H jYbn[]OYZQc^eJLh H MeJaringbLNPYJUYgWMeJLhZJ H MeJUYJOslashfcNPY HH WNtilde[`QcO H J[PhdNPfcYOtildeNihZJJBjNPf H [currenLJLhZ[eOgraveWMQcbMaringMNiKKEgraveJUOYX[PhZOslash[]Y H hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhdQRK H [PhY^S5OH MN H bLNPYJSeNPbLbn[Ph^QsO[ H [ H MeJaeligQcOeJBjNPfcQ H m[SXvNPjbdMOgravemV G bdMOgraveWNih H currenSe H MeJXiacuteNPY H JUY H^eJUbnhJUNPYJa[SXocirc|aagravejOslashQcY [Pcent H NPQcOeJU^ XhZ[]Zecirca jOslashcentm bMe[B[]YZQcOF[beuml aacute ccedilyeacute WMQsbMfRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[aeligJUP[]fcj H Qc[]O JjN H QR[]OOaringaelig Yacuteaagravejaelig agrave aacuteFuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yuml uuml thorn otilde)yuml eacute aacuteccedilaumlordfegrave ETHeacute thorn timesOslash yumlauml aelig thorn timesOslash yumlauml acircccedilaumlordfegrave ETHeacute thorn UgraveUcircUacuteUuml yumlauml aelig thorn UgraveUcircUacuteUuml yumlauml lteacute a macr]jUcircX H MJ^eJUYZbnhQRK H [PhY$^e[TOe[ H ^eJLKEgraveJUO^times[]OregagravetaiacutehZJ[]QR[]OeV4QcO^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhYjeH MeJgiexcl hZJU^jbnJUY H [ H MeJordfXiacute[]fcfR[WQcO[aeligJkWKhZJUYZYQR[]OOaringaelig Yacuteaagravejaelig agrave aacuteigraveuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yumldn reguuml thorn otilde)yuml7 eacutelteacute a ]j

uumlnyacutenthornnyumll13YSordmY_FY

f $amp)(+-)013021+345627893lt=gt9A6CB JaeligbLNPO`O[ H QcbnJ H MN HH MeJtimes^eJLKEgraveJUO^eJUObnJauml[SX H MJIacute^eJUYZbnhdQRK H [PhY[]OwagraveeEgraveNPO^aY[ []OH MeJiexclbLjehYUPJJUP[]fcj H QR[]OOeQcO^jbnJUY0NP^^Q H QR[]ONPf H JLhlZaringYFQcO H MeJiexclJUP[]fcj H QR[]O JjN H QR[]O[SX H MJFNPb H QVUPJ(bn[]O H []jeh^SMeJNP^^Q H QR[]ONPf H JLhZaringYQX[]jO^IacuteQcOoa macr]jbLNPOOe[ H hZJUNP^QsfVmcentEgraveJtimes[Pcent H NPQcOeJU^ WMJUO H MeJOslash^mBONSZaringQcbLNPfampYZbMJZOslashJaringQcYOtildeQcO H hZ[W^jbnJU^eumlNX H JLh H MeJOslashbn[]ZaeligVKj H N H QR[]Oa[SX H MeJaelig^eJLhQVUiN H QVUPJaeligjYZQcO[o0jfcJLhVA9N[PhNPOF[PJIacuteJBjN H QR[]OY^MjYe-Q H QcY[SX=KhQZaringJOeJUbnJUYZYZQ H m H [TQcO H hZ[B^jbnJ H MeJ^mWONSZaringQsbLNPfeYZbMeJZaringJiexclQcO H [ H MeJbnhQ H JLhQR[]OQ H YZJUfVXiexclQcO[Phd^eJLh H [JUNPYZQsfVmsup1[PJ H H MeJUYJaNP^^Q H QR[]ONPf H JLhlZ Y QcO bLNPYJa[SXhJ[]QR[]OWV^eJLKEgraveJUO^JUO H ^JUYZbnhQRK H [PhdY^MNPO`BY H [ H MeJUYJeumlNP^^Q H QR[]ONPf H JLhlZaringYeWFJ`JUOYZjehZJH MeJordfXqNPY H JUY H JUP[]fcj H QR[]O [SX H MeJIacutebLjehYUPJ H [WNih^YiexclNZaringQcOQZIacutejZ [SX H MeJTbnhdQ H JLhQR[]OO^ JeumlbLNPO NPfcY[hZJZaringNihY` H MN H H MeJUPJUfR[BbLQ H m[SX H MeJ bn[]O H []jhQsOa macr]j bLNPOcentEgraveJ K=[]YQ H QVUPJ[PharingOeJ[]N H QVUPJS^|MQcYaeligNPO QcO H JLhZJUY H QcO[eumlKh[PK=JLh H mOacute[SXiexclhZJ[]QR[]OWVcent-NPYJU^NPb H QVUPJ bn[]O H []jehY^ q O H MeJ bn[]O H hNihYm H [ centEgrave[]jO^NihYmVcentNPYJU^7NPb H QVUPJ bn[]O H []jehdYehZJ[]Qc[]OWVcentNPYJU^7NPb H QVUPJbn[]O H []jehYOslashNPfcfR[WYZ[]ZOslashJKNih H Ytimes[SX H MeJ bLjehYUPJ H [YZMehQsO`WMQcfRJ[ H MeJLhY(JkWKNPO^O^FMjY H MeJaumlQcOQ H QsNPfcQVcurrenUN H QR[]O QcYfRJUYYbn[]OY H hNPQsOeJU^O^^ macr^iexclEacuteltIacuteETHNtildeFETHEacuteshyOacute Eacute10wETH9IgraveumlIgravesup1+shyEacuteltEumlETHETH3EacuteshyOacuterIgrave5euml1ONtildeFETH32EacuteltOacute0EacuteltEgravexIcircEacuteshyIacute5IgraveIgrave2shyNtildeshyIacuteEumlOgraveIgraveIcirclaquoEacute10C8ltIgraveIcircd=KEgrave(ETHEacuteltEgraveIcircMJu[P[]NPf[SX H MQsY$KNih H QsY H [timesbn[]ZaringKj H J H MeJiexclJUP[]fcj H QR[]O JjN H QR[]Oaring[SX H MeJNPb H QVUPJbn[]O H []jehOcircXiacute[Ph0Y[]ZOslashJ(JkeNSZOslashKfcJUY$[SX-hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhY^SgJ H jY H N`PJY[]ZaringJT^eJUYZbnhQcK H [PhY(^eJLKEgraveJUO^QsO[aelig[]O H MeJyZOslashJUNPOBSOtimesOslash [Phiexcl[]O H MeJgUiNihQcNPObnJjuFtimesOslash [SXH MeJOtildeJUP[]fUBQcOF[OslashhZJ[]QR[]OwOumlcopytimesOslashaagravejaringEFFG FFH SOtimesOslashKaagravejumlaacute iacute $ w$ thorn yuml Otilde atilde auml WiexclQ H M icirctimesOslashaacute w$ thorn yuml atilde aumlu centtimes Oslash aagravejsup1aacute iacute $ w$ thorn yuml aOtilde SOtimes OslashKaagravejj cent atilde auml^ macr^f^iumlordfcentltshyltAringordfregethIumlIgravecurrenRAringcentmicroETHfrac34IumlltlaquomicroRreglaquoNOacute]currenRlaquosectsup1jCcedilR RAringordfregL Rlaquo3shy JTbdMe[B[]YJ H MeJgXiacute[]fcfR[WQcO[OslashYJ H [SX^eJUYbnhQRK H [PhYaring

uuml thorn UgraveUcircUacuteUuml yuml ^e[BJUYOe[ H ^eJLKEgraveJUO^[]Owagraveuuml thorn timesOslash yuml aacutecntildeaLuOcenttimes Oslash j a zSjWMJLhZJampntildeaOgravejQsYNOslashKEgrave[]YZQ H QVUPJiexclXqjOb H QR[]O[SX$bLfcNPYYograve aj^MQcYiexclUPJUfR[WbLQ H mumlUPJUb H [PhOslashQcYaumlbn[]ZaringKj H JU^centmeumlhZJLKfcNPbLQsO[ H MeJ H JLhZaringYauml[SXga jgWQ H MH MeJUQch$JkBKhJUYZYZQR[]OY^ J hY H JkWKhZJUYZY H MeJ^eJUYZbnhQcK H [Ph|uuml thorn timesOslash yuml NPYyNTbn[]ZTcentQsON H QR[]O[SXamp^e[]ZaringNPQcOY(QcO H J[PhdNPfcYaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacutemiddot thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn timesOslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejjaacutecntildeoacute agrave thorn timesOslash yuml aagravejagrave thorn timesOslash yumlcent aagravejfocirc a i]j

uumlnyacutenthornnyumll13YSordmY_FPa

yenKbrvbarsect =4 acirc $ fzWMJLhZJSaring EFFG FFH agrave thorn timesOslash yuml aagravejpoundaacute w$ thorn yuml aOtildegta2atildeltszligaumlj SOtimes OslashaagravejjUcirccent atilde aumlagrave thorn timesOslash yumlcent aagravejpoundaacute w$ thorn yuml atilde auml a h]j O^ H MBjYaring aelig thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacuteacircaOtildeKa2atildeshyszligaumlFj S timesOslash aagravejjUcirccentaelig thorn timesOslash yumlcent a2atildeshyszligaumlKszligYagravej|aacute f ad s j Y5XiacuteNihaumlNPY H MeJOslash^e[]Z NPQcO`QsO H J[PhNPfsYUacute[SX H MeJOslash^eJLhQVUiN H QVUPJaelig[SX H MJXqjOb H QR[]OY aelig thorn timesOslash yumlaumlNihZJaumlbn[]ObnJLhOeJU^OeFWFJauml[Pcent H NPQsOOaringEFFFG FFFH w5$ thorn yuml frac14ltotildeouml $_divideoslashfrac14 atilde aumlordmaacute frac14ltugrave $frac14 w$ thorn yuml aOtildeKa2atildeshyszligaumlFj SOtimesOslashKaagravejj atilde aumlaacute sw5$ thorn yuml frac14ltotilde ouml $_divideacircfrac14 atilde aumlordmaacute s adfjMJ H JLhZaringY eacute thorn timesOslash yumlauml NPfcY[aringMNUPJ H [ cent=Jaumlbn[]ZaringKj H JU^OeNPO^tWNtildeJg[PJ H aringEFFFG FFFH eacute thorn

timesOslash yuml aacute w$ thorn yuml uacute ouml $_divideacircntilde raquo7ucirc uacute ouml $_divideoslashuacute ouml $_divideacircyacuteuuml atilde aumlaacutecntilde raquo aLu centtimesOslash jeacute thorn timesOslash yumlcent aacute w$ thorn yumlBthorn uacute ouml $_divideoslashthorn uacute ouml $_divideacirc yuml acirc ntilde raquo ucirc uacute ouml $_divideoslashuacute ouml $_divideacirc uuml atilde aumlregaacute u centtimes Oslash ntilde raquo aLu centtimes Oslash j

G QsObnJ H MeJOslash^e[]Z NPQcO`QsO H J[PhNPfsYiexcl[SX frac14ltotildeouml $ordfdivideoslashfrac14 NPO^ frac14ltotildeouml $_divideacircfrac14 NihZJaeligJBjNPf H [currenLJLhZ[poundadfjeWFJOtildebLNPO ^QRhZJUb H fVm bn[]ZOslashKj H J H MeJiexclUPJUfR[WbLQ H mregUPJUb H [Ph[SX H MeJOtildeNPb H QVUPJTbn[]O H []jehuXiacutehZ[]Za macr]jNPO^WNtildeJyO^Oaringaelig Yacuteaagravejaelig agrave aacuteuumlgtthorn timesOslash yuml uumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn otilde)yuml dacute uumlgtthorn otilde)yuml eacutentilde raquo aLu centtimes Oslash jaaOtilde SOtimesOslashj cent u centtimesOslash jcedilQeacute ad j5Otad jeOgraveWFJbLNPOaringhJZaringNihY` H MeJ(KhZJUYJUObnJ[SX H MJNP^^Q H QR[]ONPf H JLhlZntilde raquo aLuOcenttimesOslash jaaOtilde SOtimesOslashj cent u centtimesOslash jeacuteacirc^^ macr^ ^iumlordfcentltshyltAringordfregethIumlIgravecurrenRAringcentmicroETHfrac34IumlltlaquomicroRreglaquoNOacute]currenRlaquosectsup1jpoundn Rlaquo JTbdMe[B[]YJ H MeJgXiacute[]fcfR[WQcO[OslashYJ H [SX^eJUYbnhQRK H [PhYaring uuml thorn UgraveUcircUacuteUuml yuml ^e[BJUYOe[ H ^eJLKEgraveJUO^[]Owagraveuuml thorn timesOslash yuml aacutecntildeaOtilde S timesOslash aagravejj adS]j

uumlnyacutenthornnyumll13YSordmY_FPo

fi $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJampntildeaOgravejQsYNOslashKEgrave[]YZQ H QVUPJiexclXqjOb H QR[]O[SX$bLfcNPYYograve aj^ YKhZJUWQR[]jYZfVmSe H MeJlaquoUPJUfR[WbLQ H mfrac34UPJUb H [PhTQcYbn[]ZOslashKj H JU^eumlcentmhZJLKfsNPbLQcO[ H MJ H JLhZaringY[SXua jcopyWQ H M H MeJUQRh(JkWKhZJUYZYZQc[]OY^FMeJauml^JUYZbnhQRK H [Ph uuml thorn timesOslash yuml QcY(JkWKhZJUYZYJU^centmKaringuuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacutei thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn times Oslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejjaacutentildeoacuteOtilde agrave thorn timesOslash yuml aagravejagrave thorn timesOslash yumlcent aagravejfocirc adj

WMJLhZJSaring EFFG FFH agrave thorn timesOslash yuml aagravejpoundaacute w5$ thorn yuml Otildegta2atildeltszligaumlj atilde aumlagrave thorn timesOslash yumlcent aagravejpoundaacute w5$ thorn yuml atilde auml adSmacr]j O^ Y[aring aelig thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejOcircaacuteegraveOtildegta2atildeltszligaumljaelig thorn timesOslash yumlcent a2atildeshyszligaumlKszligYagravejOcircaacute f adS]jG QsObnJ H MeJordfXiacutejOb H QR[]OY aelig thorn timesOslash yuml NPO^ aelig thorn timesOslash yumlcent ^e[aringO[ H ^eJLKEgraveJUO^[]OtagraveeFWFJTMNUPJSaringEFFFG FFFH w$ thorn yuml frac14ltotilde5ouml $ordfdivideoslashfrac14 atilde aumlregaacute s

w$ thorn yuml frac14ltotilde5ouml $ordfdivideacircfrac14 atilde aumlregaacute s ad]zSjMJ H JLhZaringY eacute thorn timesOslash yumlauml NihZJ H MJUObn[]ZOslashKj H JU^eNPO^WFJauml[Pcent H NPQcOOaringEFFFG FFFH eacute thorn

timesOslash yuml aacute w$ thorn yuml thorn uacute ouml $ordfdivideacircntilde raquo7ucirc Otilde uacute ouml $ordfdivideoslashuacute ouml $ordfdivideacircyacuteuuml atilde aumlaacute thorn iacute $ w$ thorn yuml ntilde raquo aOtilde SOtimesOslashj atilde aumleacute thorn timesOslash yumlcent aacute w$ thorn yuml uacute ouml $ordfdivideoslashthorn uacute ouml $_divideacirc yuml acirc ntilde raquo ucirc Otilde uacute ouml $ordfdivideoslashuacute ouml $ordfdivideacirc uuml atilde aumlordmaacute ugrave $iacute $ w$ thorn yuml ntilde raquo aOtilde SOtimesOslashj atilde auml JUacutebLNPO H MeJUObn[]ZOslashKj H JUacute^QRhZJUb H fm H MJ_UPJUfR[WbLQ H mUPJUb H [Ph[SX H MeJUacuteNPb H QVUPJOtildebn[]O H []jhXiacutehZ[]Zigravea macr]j(NPO^WNtildeJyO^Oaringaelig Yacuteaagravejaelig agrave aacuteuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yumldacute uuml thorn otilde)yuml eacute aOtilde SOtimesOslashjicircFtimesOslash $ thorn yuml ntilderaquo)aOtilde SOtimesOslashjmiddotQeacute adSi]j

5O H MeJtimesKNih H QsbLjfcNihiexclbLNPYZJIacute[SXIcircntildeaOgravejuaacuteOslashScenteKWFJtimesMNUPJnntilde raquo aOgravejcopyaacute NPO^ H MeJLhZJXiacute[PhZJSeH MeJiexclNP^^Q H QR[]ONPf H JLhlZaringYebn[]ZaringQcO[gXiacutehZ[]Z H MeJ UiNihQcN H QR[]O [SX H MeJiexcl^eJUYbnhQRK H [PhYOcircWQ H MagraveeNihJJjNPf H [gcurrenLJLhZ[^[WNtildeJUPJLheWQsOordmZOslash[]Y H bLNPYZJUYe H MQsYyNP^^Q H Qc[]ONPf H JLhlZoslashQsYyOe[ H

uumlnyacutenthornnyumll13YSordmY_FPy

yenKbrvbarsect =4 acirc $ fhcurrenLJLhZ[^ not [PhaeligJkeNSZOslashKfRJSeampQVXUgraventildea]jaacute yuml Wiexcl cent eshyWiexclQ H MN`KEgrave[]YZQ H QVUPJ bn[]OY H NPO H eQWFJMNUPJSaring

ccedil aacuteFuumlgtthorn timesOslash yuml uumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn otilde)yuml uumlgtthorn otilde)yuml eacute aOtilde SOtimesOslashjicircFtimesOslash $ thorn yuml aOtilde SOtimesOslashj IcircAumlaOtilde SOtimesOslashj cent adSh]j^ ^~IacuteFEumlIgraveFIacute5IgraveFOacuteETHNtildeFETHEacuteshyOacuteAgraven13ETH9 ETH9IgraveumlEumlIgravesup1+ltIgraveFEumltIcircIgraveFETHbIacute5IgraveFETH9shyEacute18 YXqNih0NPY H MeJOBjFZOslashJLhdQcbLNPfeQZOslashKfcJZOslashJUO H N H Qc[]OtimesQsYybn[]ObnJLhOeJU^eSWNtildeJbLNPOZOslash[W^eJUf H MeJNPb H QVUPJaumlbn[]O H []jeh_WQ H MNPOJkBK-fcQcbLQ H KNihNSZOslashJ H JLhdQVcurrenUN H QR[]ObaN[PhNPO[]QcNPOXiacute[PhlZtimesjfcN~VH QR[]OKjaelig[Ph NPO QCZOslashKfcQcbLQ H []OeJraNtildejfRJLhQsNPO Xiacute[PhlZIacutejfcN H QR[]Ogtj^ G JLJra G J H MQcNPOOe5fhSh s jNPO^egraveaJUfcQcO[PJ HH J NPO^ _a[]O H N[]ON H e sSs fjX[PhaeligNPOQcO H JLhZJUY H QcO[eumlbn[]ZOslashKNihdQcY[]OcentEgraveJ H WFJLJUO H MeJ H WNtilde[ZOslashJ H M[B^Y^ iexclO[ H MeJLhOtildeQcO H JLhJUY H QcO[aringhJUBQRJW[]O H MeJtimes^Q=JLhJUO HZOslashJ H M[B^Y[SX$NPb H QVUPJIacutebn[]O H []jehQcY(Kh[PK=[]YZJU^ QcOpoundaw_[]O H N[]ON H J H NPfd^Ve sSs fj^iexclJLhZJSeWFJaumljYJ H MeJaumlfRJUPJUfYZJ H ZOslashJ H Me[W^ NiKKhZ[]NPbdM KhZ[PKEgrave[]YJU^centm q YMeJLhNPO^G J H MQcNPOa q YZMJLh NPO^ G J H MQcNPOe fhSiSi]j centj H hJ[]QR[]OWVcentNPYJU^ NPb H QVUPJeumlbn[]O H []jehdYZaringNmNPfcYZ[ centEgraveJQZOslashKfcJZOslashJUO H JU^7centmjYQcO[`XNtildeV4YK-fcQcOeJUYXiacute[PhaeligNPOJkWKfcQsbLQ H K-NihNSZOslashJnVH JLhQcurrenUN H QR[]O ayhZJUbLQc[]Y[ NPO^XNihfcNPj^Oe sSs fj^shyMJ`PJmeumlQc^eJUN [SX H MeJOslashfRJUPJUfampYJ HZOslashJ H M[B^QsY H [ QcO H hZ[W^jbnJaumlNPO`NPjkWQsfcQcNihYmXiacutejOb H QR[]O l a2atildeltszligaumlgtszligYagravejYZjbdM H MN H YacuteaagravejQcY H MJtcurrenLJLhZ[OacutefRJUPJUfYJ H [SX l ^OcircMJXiacutejOb H QR[]O l QsYaelig[SX H JUO bMe[]YJUO H [centEgraveJ H MeJYZQ[]OeJU^ ^QcY H NPObnJordfXiacutejOb H QR[]O[SXQYacuteaagraveje-NPO^ QsY H MeJUObdMNihNPb H JLhQVcurrenLJU^acentmKaring

YacuteaagravejOcircaacute a2atildeltszligaumljPO l a2atildeshyszligaumlKszligYagravejaacute s a2 s jMQcYOcirc0jfRJLhQcNPOordmXiacute[PhlZtimesjfcN H QR[]O KhZJUYZJUO H YFYJUPJLhNPfEgraveNP^UiNPO H N[PJUYga G J H MQcNPOOeKfhShS]j^not QRhY H fVmSe H MeJabLjehYUPJ l ZaringNmcenthJUN`[PhoZOslashJLhY[PJNPY H MJXiacutejOb H QR[]O l JUP[]fUPJUYeNPO^ H [PK=[]fc[S[]QcbLNPfbdMNPO[PJUYFNihZJ H MBjY$JUNPYZQsfVmOslashMNPO^fRJU^^ G JUbn[]O^fVmSe H MJJUP[]fVUWQcO[XqjOb H QR[]O l a2atildeshyszligaumlKszligYagravejNPfVWNmWY(hZJZaringNPQcOY(NlaquoXiacutejOb H QR[]O NPfcfR[WQcO[timesJltz bLQRJUO H OBjFZOslashJLhVQcbLNPfFYZbdMeJZOslashJUY^OcircMQRh^fVmSe H MeJ[PJL[]ZOslashJ H hQcb KhZ[PKEgraveJLh H QcJUYT[SX H MeJ bLjehYUPJSe$fcQV`PJ H MeJbLjehlU~N H jehJ NPO^ H MeJOslashOe[PhlZ NPfshyUPJUb H [PhordfJUfs^eacute e=bLNPO centEgraveJIacuteJUY H QZaringN H JU^euml^QRhZJUb H fmXiacutehZ[]Z H MeJTfcJUPJUfgYJ H XqjOb H QR[]Oaring aacute V ucirc l l uuml NPO^ eacuteecircaacute l l a2FfjMJJUP[]fsj H QR[]O JBjN H QR[]O H MeJUO centEgraveJUbn[]ZOslashJUYaringaelig l aagravejaelig agrave aacuteegraveccedilacute l a2 jMJregUPJUfR[WbLQ H msup1XiacutejOb H QR[]OxccedilEQcYIacutebn[]ZaringKj H JU^7[]OfVm[]O H MeJbLjehYUPJYacuteaagravejaumlcent-j H WFJbLNPO Jk H JUO^ Q H YFJkBKhZJUYZYZQR[]O H [ H MeJiexclWMe[]fRJUacuteQZaringN[PJOtilde^e[]Z NPQcOoOumlordf^[OslashQZOslashKfRJZaringJUO HH MeJIacutefRJUPJUf9YJ H ZOslashJ H Me[W^OeY[]fsj H QR[]OYuZtimesjY H centEgraveJgXiacute[]jO^ H [ bLQRhbLjZyUPJUO H Kh[PcentfRJZaringY

uumlnyacutenthornnyumll13YSordmY_FP

s $amp)(+-)013021+345627893lt=gt9A6CBbn[]ZaringQsO[ Xh[]Z H MeJpoundXqNPb HH MN H`H MeJYZQV[]OeJU^ ^QcY H NPObnJumlXqjOb H Qc[]O l QcYaOe[ H NY[]fsj H QR[]O[SX H MeJyiexcl a2 jeEgraveYJLJa []ZOslashJUYNPO^ not NPjF[PJLhNPYe sSsSs jyacuteXiacute[Phiexcl^J H NPQcfcY^5Oaelig[]jehWF[PhY`gte H MJuXiacutejOb H QR[]O l QcYamphZJUQsOQ H QcNPfcQcurrenLJU^TY[ H MN H Q H hZJZaringNPQcOYampNOtilde^QsY H NPObnJXqjOb H QR[]OenYZJLJ5aq jecentEgraveJLh H NPO^gcOtilde[PhdOeKhZ[PcentY H e sSs fJLcenthZJUjFUPJSe sSsSs jOXiacute[Ph^J H NPQcfcY[]O H MJOtildehZJUQcOQ H QsNPfcQVcurrenUN H QR[]O JBjN H QR[]OO^5Oeuml[Ph^eJLh H [QCZOslashKhZ[UPJaringOjFZaringJLhQcbLNPfJltz bLQRJUObmSeOWFJaringbn[]ZOslashKj H J H MeJOslashJjN H QR[]O[]O NIacuteONihhZ[Wcent-NPO^aringJUObLfc[]YZQcO[ H MJiexclfRJUPJUf s [SX H MeJUacutefRJUPJUf-YJ H XqjOb H Qc[]OO^ JUacuteNPfcY[jYZJZtimesjf H QRhZJUYZ[]fcj H QR[]O H JUbdMOQBjeJUYcentmZaringN`BQsO[ H MeJFNPb H QVUPJ(bn[]O H []jh$JUP[]fVUPJcopyhY H[]ONOslashfc[W hZJUYZ[]fcj H QR[]O QZ N[PJS^FMeJordfONPfbn[]O H []jeh[Pcent H NPQcOeJU^Xiacute[Ph H MQcYhJU^jbnJU^QZ N[PJaumlQcY H MeJUOjYJU^ NPYNPOQsOQ H QcNPfEgravebLjehYUPJordfXiacute[Ph H MJOtildehZJUNPfgYZQVcurrenLJaumlQCZaringN[PJS^

EparaacuteAgravegtmicrosup1acuteIKJcedilJT2MgtI MraquowMgtmicrosup1MAgravegtacuteIltacuteMgtPltAtilde iquest acuteAgravegtT2MKIshyAtildeAcirccedilAtildeacuteNicircMgtI cedilAEligMgtmicroOcircacuteOgraveJTCJT13MKI sup2OcircacuteJordfsacuteacuteI Jfrac14ltacutegcedilFLT2cedilIshyROgraveacuteAtilderaquoAMLBqoLacute13AtildeR]cedilsup32acute GmicrobcedilAgraveacuteAtilde5O H MQcYUacuteYJUb H QR[]OOeOWFJOslashKhZ[PKEgrave[]YJaeligY[]ZOslashJOslashhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhY H [YJ[iVZOslashJUO H M[]ZOslash[S[PJUOeJL[]jYiexclhZJ[]QR[]OYiexcl[]Ofrac34[PhZJmBYbLNPfRJIacuteQZ N[PJUY^gtMJUYJIacute^eJUYbnhQRK H [PhYiexclNihZJcentNPYZJU^[]O H MJZaringQcOQZaringQVcurrenUN H QR[]O [SX H MeJU~NihdQcNPObnJUYauml[SX H MJ H WF[`bn[]OYZQc^eJLhZJU^OacutehZJnV[]QR[]OY^ 5O H MJ7YJUbn[]O^ K-Nih H e H MJQZOslashKEgrave[Ph H NPObnJOacute[SX H MeJNP^^Q H QR[]ONPf H JLhZaringYebn[]ZaringQsO[XiacutehZ[]Z H MeJiexclU~NihdQcN H QR[]O [SX H MeJUacute^eJUYZbnhQcK H [PhYWQ H M H MeJiexclJUP[]fUBQcOF[IacutehZJ[]Qc[]OYeQcY9MQV[]MfcQ[]M H JU^O^ G QCZOslashKfRJJkWNSZaringKfRJUY9YMe[W H MeJ0QZOslashKEgrave[Ph H NPObnJ$[SX H MeJUYJ0NP^^Q H QR[]ONPfH JLhlZ Y H [ NPbMQRJUPJ H MeJOtildeJkWKEgraveJUb H JU^aYJ[]ZaringJUO H N H QR[]O^^f^laquoIgraveIcirc=KEgrave(FETHOEacuteltEgraveIcircEcircgtNtildeltIcircIgrave8 EacuteshyOacute ETH9Igravek+NtildeshyEgrave13NtildeshyOacute=KIgraveC0EacuteshyEgraveh4ltEgraveOIgravesup1QIcirc=NtildeltEumlOgraveIgrave2Iacute Ntilde4ltIgraveIcircMJQcO H JUOYZQ H mregXiacute[Phu[PhZJmWYZbLNPfRJaumlQZ N[PJUY(QcYhZJLKhZJUYZJUO H JU^centm NlaquoXqjOb H QR[]OOtilderegaringOgraveOumlOtilde 13ordfcentwntilde Otilde 13laquo^ JaKhZ[PKEgrave[]YJ H [bZaringQcOQZaringQVcurrenLJ H MeJU~NihdQcNPObnJUYOslash[SX H MeJ H WF[bn[]OYZQc^WVJLhZJU^ Me[]Zaring[S[PJUOeJL[]jY hZJ[]Qc[]OY QcO [Ph^eJLh H [YJ[]ZOslashJUO H H MeJZ^uMJXiacute[]fcfR[WQcO[^eJUYbnhQRK H [PhY(NihJaumlYZj[S[PJUY H JU^OaringEFG FH uuml thorn UgraveUacuteUuml yuml aacutecntildeaLuOcentUgraveUacuteUuml juuml thorn times Oslash yuml aacutecntildeaLuOcenttimes Oslash juuml thorn otilde)yuml aacutecb a2Ograve]jWMJLhZJjntildea]jQcYNOslashKEgrave[]YZQ H QVUPJordfXiacutejOb H QR[]O [SX$bLfcNPYZYEacuteograve aOtilde 13yj(NPO^kb`NOslashKEgrave[]YZQ H QUPJaumlbn[]OWVY H NPO H ^MJTbn[]ZOslashKj H N H Qc[]O[SX H MeJUPJUfR[BbLQ H mUPJUb H [PhaumlQcY^JU^jbnJU^tXiacutehZ[]Z H MeJIacutebn[]ZOslashK-j H N~VH QR[]O`[SX H MeJaelig^eJLhQVUiN H QVUPJIacute[SX H MeJtimesbnhdQ H JLhQR[]Opoundocirc7^eJUPJUfR[PKEgraveJU^ QcO G JUb^^ macr^feWMQsbMfRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[aeligJUP[]fcj H Qc[]O JjN H QR[]OOaringaelig Yacuteaagravejaelig agrave aacuteethntildeaLu centtimesOslash j ntildeaLu centUgraveUcircUacuteUuml jb ntilderaquo)aLu centtimesOslash jaaOtilde S timesOslash j cent u centtimesOslash j ntilde raquo aLu centUgraveUcircUacuteUuml jaaOtilde SUgraveUcircUacuteUumlj cent u centUgraveUacuteUuml jIcirc13eacute a2Sj

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ fMJiexclYZQcOF[]fRJiexclK-NihNSZOslashJ H JLhcopyWNtildeJOtildeOeJLJU^ H [aringNP^~ZjY H QcY H MeJUacuteYYZOslash[B[ H MQcO[timesKNihNSZOslashJ H JLhb^5OregXqNPb H e H MeJ X [W ethb MNPY H MeJiexclKhZ[PKEgraveJLh H QRJUYNtilde[SXYYZOslash[B[ H MQcOF[IacutecentEgraveJUbLNPjYJOtildeQ H ZOslash[UPJUYH MeJUacutebLjehYUPJUacuteQcO H MeJUacute^QRhZJUb H QR[]O [SX9Q H YfRJUOF[ H MregXqjOb H QR[]ONPfQa G Qs^^QBQeJ H NPfd^VeOfhShS]j^^ ^~IacuteEacuteltEgraveETHOgraveNtildeltOacute=KIgravefrac34Eacute10frac34ETH9Igrave Ntilde8182ETHEacuteshyOacuteNtildeshyEumlETHIgraveFEgraveOIacute5Icirc5O[Ph^JLh H [7JU~NPfcjN H J H MeJ QZOslashKEgrave[Ph H NPObnJ`[SX H MeJ`NP^^Q H QR[]ONPf H JLhlZaringYX[Ph H MeJYJ[]ZaringJUO H N H QR[]OeuWNtildeJpoundZaringN`PJ H MJeumlNPb H QUPJbn[]O H []jehaJUP[]fVUPJ H MehZ[]j[]M H MJ iexcla2SjeQsObLfcj^QsO[ H MeJaumlNP^^Q H QR[]ONPf H JLhlZaringY^ q O H MeJUacute[ H MeJLhMNPO^OeWNtildeJaumlNPfcYZ[ZaringN`PJQ H JUP[]fUPJfrac34WQ H M H MeJwXiacute[]fcfR[WQcO[ WhZ[]OF[JUP[]fcj H QR[]OJjN H Qc[]O H MN H ^e[JUY Oe[ HQcObLfcj^eJ H MeJaumlNP^^Q H QR[]ONPf H JLhlZaringYaringaelig Yacuteaagravejaelig agrave aacuteethntildeaLu centtimesOslash j ntildeaLu centUgraveUcircUacuteUuml j`b Qeacute iuml a2Ogravemacr]jnot [Ph H MeJOtildeJkWKEgraveJLhQZOslashJUO H YeWFJ H N`PJntildeaOgravejOcircaacute ILK KafcediliexclOgravejWMQsbM[]QVUPJUYntilde raquo aOgravejaacutefdOafcedil]j(NPO^ H MeJgUiNPfcjeJOtilde[SX H MeJaumlKNihdNSZOslashJ H JLhEacutebaQcY(YJ HH [frac34f s ^OcirckBKEgraveJLhQCZOslashJUO H Y NihZJ KEgraveJLhYX[PhZOslashJU^ []O NYmWO H MJ H Qcb`QCZaringN[PJumlZaringNP^eJeumljeK [SXTNPO

Me[]Zaring[S[PJUOeJL[]jYYYBjNihZJ[SX9QcO H JUOYZQ H mwf s []O NIacutecentNPbl`[PhZ[]jO^ [SX9QcO H JUOYZQ H mtf s ^ []NPjYZYZQsNPOOe[]QcYJUacute[SXUiNihQcNPObnJ s QcY(NP^^eJU^ H [ H MQcY(YmWO H MJ H QcbOtildeQZaringN[PJS^MeJOtildeJUP[]fcj H QR[]Oa[SX H MeJTNPb H QVUPJtimesbn[]O H []jehUacute^ehQUPJUOcentmpounda2SjQcYu[]QVUPJUO`QcO not QV[^ WMQcfRJ H MeJ[]OeJ`[Pcent H NPQcOeJU^ jYZQcO[ a2Ogravemacr]j QcYordm[]QUPJUO QcO not QV[^ ^ J bLNPO hZJZaringNihY`H MN H WMeJUO H MeJoiexclQsObLfcj^eJUY H MJ NP^^Q H QR[]ONPf H JLhZaringYe H MJ YYBjNihZJ QcYgWFJUfcfYJ[]ZaringJUO H JU^acirca not QV[^ ^bjeuWMeJLhJUNPYWiexclMeJUO H MeJ |iexclD^e[BJUY Oe[ H QsObLfcj^eJ H MeJUYJNP^^Q H QR[]ONPf H JLhZaringYwWFJ7[Pcent H NPQcO N bLQRhbLfcJOacuteQcOY H JUNP^ [SX H MeJ7JkBKEgraveJUb H JU^YYBjNihZJa not QV[^ ^bj^MeJUYJhZJUYZjf H YNtildebLNPOcentEgraveJcentEgraveJ HH JLh(jO^eJLhY H [[W^WMQcfRJNPONPfmcurrenUQcOF[ H MeJiexclUPJUfR[WbLQ H mUPJUb H [PhYUacute[SXNtildeJUNPbMJUP[]fsj H QR[]O JjN H QR[]OO^ Jaringbn[]ZOslashKNihZJ H MeJ H WF[ JUP[]fcj H QR[]OYiexcl[SXH MeJlaquoUPJUfR[WbLQ H mwUPJUb H [PhYauml^jehQcO[ H MeJaeligKhZ[PKN[]N H Qc[]Oeuml[SX H MeJOslashbLjehYUPJwa2WiexclQ H Me[]j HH MeJcentEgrave[]jO^NihYmVcent-NPYJU^ H JLhlZb j^MeJ(JUP[]fcj H Qc[]OOslash[SX H MeJNSZOslashKfsQ H j^eJ[SX H MeJyacuteUPJUfR[Wb|VQ H mregUPJUb H [Ph[SXQ|iexcla2SjFQsY[]QUPJUO QcO not Q[aqYj^ ^ ^OecurrenJSe Xfrac34]eWMQsfRJ H MeJOtildeNSZOslashK-fcQ H j^eJ[SX H MeJUPJUfR[WbLQ H mwUPJUb H [PhOtilde[SX||iexclacirca2Ogravemacr]jiexclQcY []QUPJUO`QcO not QV[aqYj^ ^ ^OecurrenJSe Xfrac34]^ JOslashbLNPO[PcentYZJLhYUPJ H MN HaringH MeJUPJUfc[BbLQ H msup1WiexclQ H Me[]j HaeligH MeJNP^^Q H QR[]ONPf H JLhlZaringY QcYaeligNbn[]OY H NPO HWMJLhZJ [PcentUWQR[]jYfVm H MJaQZaringN[PJfrac34XJUN H jehJUY ^e[OacuteO[ H NiKKEgraveJUNih^ q O H MeJabn[]O H hNihYmH MeJaumlQCZaringN[PJordfXJUN H jhZJUYuWFJUfcfNiKKEgraveJUNihQcO H MeJordfUPJUfR[WbLQ H m QcObLfcj^QcOF[ H MeJaumlNP^^Q H QR[]ONPfH JLhlZ Yya not QV[aqYj^ ^ ^OecurrenJSe Xfrac34jiexclNPO^ Y[ H MeJaumlYljNihJTbLNPO centEgraveJordfWNtildeJUfsfYJ[]ZOslashJUO H JU^O^MeJyKhZJUWQR[]jYEgravehJUYZjf H YgYMe[W H MN H Q H QcY[SXeKhQCZOslashJ$OeJUbnJUYZYZQ H m H [ H N`PJQcO H [NPb|Vbn[]jO H0H MJNP^^Q H QR[]ONPf H JLhZaringYeWbn[]ZaringQcO[XhZ[]Z hZJ[]QR[]OeV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhYeQcO[Phd^eJLh H [ hZJUNPbdMaN H hdjeJgZaringQcOQCZIacutejFZ [SX H MeJaumlbnhQ H JLhdQR[]OO^

uumlnyacutenthornnyumll13YSordmY_F

S $amp)(+-)013021+345627893lt=gt9A6CBEIumlparaacuteAgravegtmicrosup1acuteIKJcedilJT2MgtI MraquoordfAEligMgtsup32MLwMKmicrobMgtAgraveacuteIshyacuteMgtPltAtilde iquest acuteAgraveKT13MKIshyAtildeAcirclaquocedilFAtildeacuteNicircMKIJfrac14ltacutepoundAEligMAringcedilFLT2cedilIltR]acuteHcedilJLTOcircfrac12sup3T13ROgravecedilJT2MgtI JMAgraverltcedilFR]acuteacuteJacuteR]JT2MgtIicircT2ItT2NQacuteM paraacutePshyacuteIltR]acuteAtildeMQcY0K-Nih H ^eJUNPfcYWQ H M H MeJOtildeYJ[]ZOslashJUO H N H QR[]O [SXMe[]ZOslash[S[PJUOeJL[]jY(hZJ[]QR[]OYQcOZtimesjfuVH QcYZK=JUb H hdNPfQZaringN[PJUY^ YNPOaJkWNSZaringKfRJSeWFJIacuteYZMe[W H MN HiexclH MeJTbn[UiNihQcNPObnJZaringN H hQVkbLNPOacent=JIacuteNUPJLhYm KEgrave[WFJLhYXqjf H [B[]f H [ YJ[]ZOslashJUO H Me[]Zaring[S[PJUOeJL[]jYbn[]fR[PhiexclhJ[]QR[]OY^F5OXqNPb H e H MeJtimes^eJ H JLhlZaringQsONPO H [SX H MeJTbn[U~NihQsNPObnJZ N H hQkKhZ[UPJUY H [ centEgraveJIacuteNaringhJUfRJU~NPO Hbn[]fR[PhaelighZJ[]Qc[]O7M[]ZOslash[S[PJUOeJUQ H msup1ZOslashJUNPYZjhZJZOslashJUO H a G NPO[SWQcOeJ NPO^r[PhdOeJSeufhShSi]j^_`QcOQZ QVcurrenUQcO[ H MQcYjNPO H Q H m ZOslashJUNPOY H MN H WFJwWNPO HH [^eJUbnhZJUNPYJ H MeJeumlbn[]ZaeligVKfcJkWQ H m[SXUacuteNeumlhZJ[]QR[]Oa hdNmJ H NPfd^Ve sSs fampN H JUjke sSsSs j^MQcY H [B[]fuZaringNmKhdNPb H QcbLNPfcfVm cent=JaumljYJU^X[Ph XiacuteNPbnJtimes^eJ H JUb H QR[]OaQsO QZaringN[PJaumlYJBjeJUObnJUY^macr^f^laquoIgraveIcirc=KEgrave(FETHOEacuteltEgraveIcircEcircgtNtildeltIcircIgrave8 EacuteshyOacute ETH9IgraveAgrave=Eacute3+NtildeshyEgrave13NtildeshyOacute=KIgravefrac34Iacute_NtildeFETHEgraveEcirc20EacuteshyEgrave=EacuteshyEumlEacuteshyEgrave2Iacute Ntilde4ltIgraveIcircMJQcO H JUOYZQ H mxXiacute[Ph bn[]fR[Ph QCZaringN[PJUYaringQcYOslashhJLKhZJUYJUO H JU^centm7NpoundXiacutejOb H QR[]OOtildeegravearingOumlOtilde 13ordfcent ntilde Otilde 13 WMeJLhZJ Otilde aacute Otilde szligYOtildeOgravecentszligYOtilde13ordf ^iexclXm NPONPfR[S[SmAumlWQ H M H MeJOacuteY H j^Fm Xiacute[Ph[PhZJmWYZbLNPfRJFQZaringN[PJUYeWNtildeJZaringQcOQCZaringQVcurrenLJ H MeJNtilde^J H JLhlZaringQcONPO H [SX H MeJFbn[UiNihQcNPObnJcopyZaringN H hQVk[SX H MeJTbn[]OYQc^eJLhZJU^hZJ[]Qc[]OY^ J5ZaringNmaringNPYYZjFZOslashJ H MN H JUNPbdM bn[]fR[PhFhZJ[]QR[]Oacute13 QsYOcircZOslash[W^eJUfcfRJU^OslashcentmOslashNg[]NPjYYZQcNPO^QsY H hQRcentj H QR[]Oeuml[SXyacuteZOslashJUNPOiexclSegraveaacute S szligPS cent szligPS NPO^7bn[UiNihQcNPObnJZ N H hQk5^MeJKh[PcentNicentQcfcQ H maring^eJUOYQ H moXiacutejOb H QR[]O QcYu[]QUPJUO centm H MeJgXiacute[]fcfR[WQcO[aeligJkWKhZJUYZYQR[]OOaring

$ampamp aOtildejOcircaacute fa )( j +cent aq^J H ayacutejj cent JkWK- f aOtilde Sltj thorn aOtilde Sltj a2Ograve]jG [eZaringQcOQZaringQVcurrenUQcOF[ H MJbn[U~NihdQcNPObnJuZaringN H hQktimes^eJ H JLhlZaringQcONPO H [SX-NPOtimesJUP[]fVUWQcO[hJ[]QR[]ONiKKEgraveJUNihY H [OslashcentEgraveJNtimeshZJUfcJU~NPO HH [[]f H [ordmZaringN`PJ H MQcYFhZJ[]Qc[]O bn[]OUPJLhY[PJ H [WFNih^Y H MeJbLfR[]YZJUY H Me[]ZOslash[S[PJUOeJL[]jYbn[]fR[PhiexclhZJ[]QR[]OO^9J H jY$Oe[ H J timesOslash NPO^0copyUgraveUcircUacuteUuml H MJbn[UiNihQcNPObnJ5ZaringN H hQcbnJUYy[SX=hJUYKEgraveJUb H QVUPJUfVmordmOuml timesOslash aagravejNPO^tOuml UgraveUacuteUuml aagravejaring

atilde aacute213 u Patilde u centatilde u atildeu cent atilde u centcentatilde u cent4atildeu5 atilde u5centatilde u54atilde67 a2zSj

WMJLhZJSaringEFFG FFH u times aumlatilde aacute iacutefaring w aring thorn yuml aOtilde times S times atilde jaOtilde auml S auml atilde j atilde aumlS times atilde aacute iacutefaring w aring thorn yuml Otilde times a2atildeltszligaumlj atilde auml WQ H M aacuteiVIgraveOacute[Ph Kf5

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ J [PcentUWQR[]jYZfm`MNUPJacuteu times aumlatilde aacuteu auml timesatilde ^shy9J H jYaumlO[ H J ^eJ H a atilde j H MJ ^eJ H JLhlZaringQsONPO H [SXH MeJaumlbn[U~NihdQcNPObnJZ N H hQkWiexclMQcbMJkBKhJUYZYZQR[]O QcY H MJgX[]fsfR[WQsO[aring

^eJ H a atilde jumlaacute u Patilde u centcentatilde u 4atilde u centatilde u atilde u cent4atilde u Patilde u cent4atilde u cent4atilde u centcentatilde u atilde u atilde u 4atilde u centatilde u centatilde a2Ogravei]jnot jOb H QR[]OY [SX H MeJeumlbn[UiNihQcNPObnJpoundZaringN H hQk ^eJ H JLhZaringQcONPO H YNihZJ jYJU^ NPY hJ[]QR[]O^eJUYbnhQRK H [PhY^ JIacutebMe[B[]YJ H MJordfX[]fcfc[WQcOF[aeligYZJ H [SX$^eJUYZbnhQRK H [PhYaringEFG FH uuml thorn UgraveUcircUacuteUuml yuml aacute98ordfaq^eJ H acopyUgraveUcircUacuteUumlAjjuuml thorn timesOslash yuml aacute98ordfaq^eJ H a timesOslash jjuuml thorn otilde)yuml aacuteOslashb a2Ograveh]jWMJLhZJ8ordfaOgravejFQcYNOslashKEgrave[]YZQ H QVUPJiexclXiacutejOb H QR[]O [SXampbLfcNPYZYograve aOtilde 13yjFNPO^Cb`NOslashKEgrave[]YZQ H QVUPJOtildebn[]OWVY H NPO H ^gJ H jYNtildeOe[W WhQ H J H MeJJUP[]fcj H Qc[]OaringJBjN H QR[]O [SX H MeJiexclNPb H QUPJbn[]O H []jehcentmbn[]ZOslashK-j H QcO[ H MJIacute^QEgraveJLhZJUO HH JLhlZaringYiexcl[SX_a j^J H NPQcfcYiexcl[SX H MeJIacutebn[]ZaringKj H N H QR[]O bLNPOcentEgraveJgXiacute[]jO^QsOaNiKKEgraveJUO^QVk X5^gtMJaumlJUP[]fcj H QR[]O`JBjN H QR[]O[SX H MJIacuteNPb H QVUPJaeligbn[]O H []jhQcY H MJgX[]fsfR[WQsO[aringaelig Yacuteaagravejaelig agrave aacute8gaq^eJ H atimesOslashjj 8ordfaq^eJ H a UgraveUcircUacuteUuml jj`b admacr s jlt8Icircraquodaq^eJ H a times Oslash jgt= ccedil A B egrave aOtilde S timesOslash jaOtilde B5 S BtimesOslash jB^eJ H aDC EBtimesOslash ja fj BGFH amp^eJ H atimesOslashj48 raquo aq^eJ H atimesOslashjj 8Icircraquodaq^eJ H a UgraveUacuteUuml jgt= ccedil I B egrave aOtilde Eacute S UgraveUcircUacuteUuml jaOtilde B S BUgraveUcircUacuteUuml jB^eJ H aDC JBUgraveUacuteUuml ja fj BKFH amp^eJ H a UgraveUcircUacuteUuml j48 raquo aq^eJ H a UgraveUcircUacuteUuml jjcedil13eacuteMJZaringN H hdQkLC JBatilde QsY ^JU^jbnJU^icircXh[]Z H MJeumlbn[U~NihdQcNPObnJbZaringN H hdQkM atilde centm YZjeKeVKhJUYZYZQcO[ H MeJ uuml UumlON hZ[WENPO^ H MeJ I UumlON bn[]fcjFZaringO^MeJeumlfcNPY H Xiacute[]jeh fsQcOeJUY [SX H MeJJBjN H QR[]ONihZJ H MeJOtildeNP^^Q H QR[]ONPf H JLhZaringY(bn[]ZaringQcO[XiacutehZ[]Z H MeJiexclU~NihQsN H QR[]O [SX H MeJOtilde^eJnVYZbnhdQRK H [PhYWiexclQ H Mordmagrave^ Y0Q H MNPYycentEgraveJLJUOOslashKhJUBQR[]jYZfVmTKhZ[UPJU^X[Ph[PhZJmWYZbLNPfRJiexclQCZaringN[PJUYeH MeJUYZJ H JLhlZaringYMNUPJ H [ cent=Jaumlbn[]OYZQc^eJLhZJU^ QsO[Ph^eJLh H [regZ N`PJ H MeJTNPb H QUPJTbn[]O H []jhbn[]OUPJLhY[PJ H [WFNihd^YNZ QcOQZtimesjFZ [SX H MJTbnhQ H JLhQc[]OO^macr^ ^~THORNUgrave2FIgraveFEgrave2Iacute_IgraveFOacuteshyETHOgraveNtildeshyEumlEgraveOIgraveIcircdEumlETHOIcircnot [Ph H MJ JkWKEgraveJLhQZOslashJUO H YeQWNtildeJ H N`PJCntildea]jordmaacute ILK Kaf[]jgWMQsbMsup1[]QVUPJUYnntilde raquo aOgravejaacutefdOafWOgravej(NPO^8ordfaOgravejaacute ILK KafIcirch cent juWMQcbdMt[]QVUPJUY8 raquo aOgravejaacute ETHOafIcirch cent j^ JbdMe[[]YZJ bbaacute f s ^QMeJaringbn[]fR[PhtimesYKNPbnJ YJUfcJUb H JU^QcYaQPszlig l szligicirclaquojeltWMeJLhZJwaOtilde aacuteRPordmjhZJLKhZJUYJUO H Y H MeJfsjFZaringQcONPObnJNPO^waOtildeOgravecent5aacute l j$NPO^frac34aOtildeS aacuteOslashicircj$hZJLKhZJUYJUO HyH MeJ H WF[bdMehZ[]ZaringQcONPObnJUY^ not [Ph H MeJbn[]ZaringKj H N H QR[]OOslash[SX H MeJuUiNihQcNPObnJSei[]Ofm H MeJfcjZaringQcONPObnJQcY(jYJU^O^

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CB5Oaring[Phd^eJLh H [aeligYJ[]ZOslashJUO H NPO Me[]ZOslash[S[PJUOJL[]jY0hJ[]QR[]OOeOgraveWFJiexclY H Nih H WQ H M NPO QcOQ H QcNPf

bLjehlUPJ0QcOYZQs^eJ H MJ0hZJ[]QR[]Oauml[SXWQsO H JLhZJUY H ^MeJybLjhYUPJ0QcY H MJUOTYZjeKK=[]YZJU^ H [JkWKNPO^jO H Qcf(Q H hJUNPbMeJUY H MeJ centEgrave[]jO^NihlmOacute[SX H MeJabn[]ObnJLhdOeJU^ Me[]Zaring[S[PJUOeJL[]jYaringhJ[]QR[]OO^MJtimesbLjehlUPJtimes^e[BJUYUacuteOe[ H [P[cent=JmP[]O^ H MJUYJaeligcent=[]jO^NihQRJUYiexclYZQcObnJSe=[UPJLh H MeJLhZJSe H MeJbnhQ H JLhQR[]OOacuteQsObnhZJUNPYJUYtimescentEgraveJUbLNPjYJ H MeJU~NihdQcNPObnJOcircu centtimesOslash [Ph H MeJ bn[U~NihdQcNPObnJtZaringN H hQVk^eJ H JLhZaringQcONPO H ^eJ H atimesOslashjUcirccentOtildeQsObnhZJUNPYJS^MeJaringNPfV[P[PhQ H MZEcentNPYJU^[]O H MeJ bn[UiNihQcNPObnJZaringN H hQVkeumlQcYaumlK=JLhlX[PhlZaringJU^euml[]ONPOQZ N[PJ [SX H MeJUBQs^eJL[`YJBjeJUObnJrnN`WQVmP[]peumlQcO[Ph^JLh H [euml^eJ H JUb HaeligH MeJYKEgraveJUN`PJLhUTYXqNPbnJS^gtMJaumlJUP[]fcj H QR[]O[SX H MJIacutebLjehYUPJIacuteQcYu[]QVUPJUO QcO not QV[^ macr^gtMeJTbn[]O H []jehiexclJUP[]fUPJUYH [ONPfcfVmbn[]OUPJLhY[PJaelig[]O H MeJIacutecent=[]jO^NihQRJUY[SX H MJyXqNPbnJa not QV[^ macr^bj^OMeJyXiacuteNPbnJaeligQcYH MeJUONPbLbLjehdN H JUfVm YZJ[]ZOslashJUO H JU^^FMeJUacuteNSZOslashKfcQ H j^eJ[SX H MeJiexclUPJUfR[BbLQ H m QsYFNPfsY[laquo[]QVUPJUOQcO not QV[aqYj^ macr^ ^OecurrenJSe Xfrac34jNPO^WNtildeJUacutebLNPO [PcentYJLhYUPJ H MN HFH MeJ5XiacuteNPbnJUacutehZJ[]QR[]O QcYUPJLhYmWFJUfcf^eJUfsQZaringQ H JU^regXhZ[]Z H MJ[ H MJLhhZJ[]QR[]OY^MJ5UPJUfc[BbLQ H m[]QUPJUO QcO not QV[aqYj^ macr^ ^OecurrenJSe XQcObLfcj^eJUY H MeJNP^^Q H Qc[]ONPf H JLhlZaringYFbn[]ZaringQcOF[yXiacutehZ[]Z H MeJ5UiNihQcN H QR[]O [SX H MeJiexcl^eJUYbnhQRKeVH [PhY5WQ H Magrave`centj H ^e[BJUYOtildeOe[ H QcObLfcj^eJ H MeJaeligcentEgrave[]jO^NihlmVcentNPYZJU^ H JLhlZ WMQcbMeumlQcYUacuteNYYZaring[[ H MQsO[ H JLhlZ^KMeJtimesNSZOslashKfcQ H j^eJOtilde[SX H MeJyUPJUfc[BbLQ H maQcYiexclOe[PhlZaringNPfcQcurrenLJU^ centEgraveJ H WFJLJUOs NPO^ macrSmacre$YZjbdM H MN HTH MeJ OeJ[]N H QVUPJoU~NPfcjJUYIacuteNihZJ fR[WFJLh H MNPO f i`NPO^ H MeJKEgrave[]YZQ H QUPJ[]OJUYNihZJTMQ[]MeJLh H MNPOpoundf i^ J bLNPObn[]ZaringKNihZJ H MJ QcOQ H QsNPfUPJUfR[BbLQ H m[Pcent H NPQcOJU^jYZQcOF[ H MeJ bn[U~NihQsNPObnJZaringN H hdQk admacr s juWQ H M H MeJOtilde[]OeJOtilde[Pcent H NPQcOeJU^jYQcO[ H MeJordfUiNihQcNPObnJrega2Sj^KMeJordfXqNPbnJTQcYOe[ H WNtildeJUfsf9^eJ H JUb H JU^QcO H MeJUPJUfR[BbLQ H m[Pcent H NPQsOeJU^ajYQcO[ H MeJUiNihQcNPObnJa not Q[^ ^bjWMJLhZJUNPYIacuteQ H QcYIacutehZJUNPfcfmumlWNtildeJUfcfF^eJ H JUb H JU^QsO H MeJQcOQ H QcNPfUPJUfR[WbLQ H m7jYZQcOF[ H MeJbn[iVUiNihQcNPObnJpoundZ N H hQk a not QV[^ ^currencentj^_MeJ UPJUfR[WbLQ H m [Pcent H NPQcOeJU^ jYZQsO[ H MeJumlU~NihdQcNPObnJ^e[BJUYOe[ H NPfsfR[W NPOJltz bLQRJUO H YJ[]ZOslashJUO H N H QR[]O`[SX H MeJyXiacuteNPbnJauml[]O H MeJaumlbn[]O H hNihYm H [H MeJIacutebn[UiNihQcNPObnJlaquoZaringN H hQk^eJ H JLhZaringQcONPO H WMQsbM H N`PJUYUacuteNP^UiNPO H N[PJaelig[SX H MeJtimesbn[]fR[PhQcOFX[PhlZ N H QR[]OO^macr^ ^WVFEumlETH=gtNtildeFETH32EacuteltOacuterETHEacute`0Ntilde=KIgravek8ltIgraveFETHIgrave5=KETH32EacuteltOacute~2Oacute+(8ltIgraveEacute IcircIgrave5euml1IgraveFOacute=KIgraveIcircMJa^eJUYZbnhQcK H [PhYOslashcentNPYZJU^[]O H MJ`bn[UiNihQcNPObnJZaringN H hdQkNihJ`QZOslashK-fRJZOslashJUO H JU^ H [^eJ H JUb H MBjFZaringNPO XqNPbnJUYQcO UWQc^eJL[OacuteYJBjeJUObnJUY^MQsYaring^eJ H JUb H QR[]OegraveZaringNm cent=J`jYJU^Xiacute[PhtUWQc^eJL[ bn[B^QcO[ H [JUObn[W^eJYJUfcJUb H QVUPJUfVm H MeJOacuteMBjFZaringNPOegraveXqNPbnJS^ not [Ph`N []QVUPJUObn[]ZOslashKhZJUYZYZQR[]OOacutehN H QR[e H MeJoXiacuteNPbnJbLNPO7cent=J H hNPOYYZ Q HH JU^bWiexclQ H MN MQV[]MJLhThN H J H [H MeJ^eJ H hdQZOslashJUO H [SX H MeJcentNPbl`[Ph[]jO^O^uMQsY QsO H JLhZJUY H QcO[KhZ[PKEgraveJLh H m QcYUiNPfcjWVNicentfcJuX[PhUBQc^JL[Bbn[]OXiacuteJLhZJUObnJUYe]WMeJLhZJ H MeJ ZOslash[]Y H QZOslashKEgrave[Ph H NPO H NPO^regZOslash[]Y H U~NihdQcNicentfRJQcOFX[PhlZ N H QR[]OQcYfR[WbLN H JU^ []O H MJordfXiacuteNPbnJaq 5ZOslash[]Oe[]j`NPO^tUacutejMNSZaringJUfde sSsSs j^ J QcOQ H QcNPfcQVcurrenLJ H MJhdY H XiacutehNSZOslashJoWQ H M7N`bLQchbLfRJ QsOYZQc^eJ H MeJXqNPbnJ H [ H hNPbY`K^MJUOOeyacuteWFJsup1ZaringN`PJ H MeJNPb H QVUPJ7bn[]O H []jeheumlJUP[]fVUPJjYZQcOF[admacr s jeiexclWQ H MX8ordfaOgravejxaacuteILK KafUgravemiddot cent j^ltMeJregONPfybn[]O H []jehtimes[SX H MeJ bLjehZhJUO H QZaringN[PJ QcY H MeJUOOacutebdMe[]YJUO7NPYNPO QcOQ H QcNPfbLjhYUPJordfX[Ph H MJUacuteOJk H QZaringN[PJS^FMeJOtildeNPfV[P[PhQ H MFZMNPYcentEgraveJLJUOKEgraveJLhYXiacute[PhlZOslashJU^[]OYJUPJLhdNPf$YJjJUObnJUY^MeJaelighZJUYjf H Y5X[Ph H MJaeligYZJjeJUObnJpoundn5JLhQV`p NihJordm[]QVUPJUOQcOnot QV[^ethz^shyMeJaringKNihNSZaringJ H hZJ bMNPYaumlcentEgraveJLJUOYZJ HaumlH [sup1f s ^QMeJordmXqNPbnJ QcYordfWFJUfcfy^J H JUb H JU^NPO^ H hNPbY`PJU^times[]O H MJ|WMe[]fcJyYJjJUObnJS^MJyhZJUYZjf H YOX[Ph H MeJNtildeYZJjeJUObnJnN`WQVmP[]p

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ macrNihZJy[]QVUPJUO`QsO not QV[^ i^ JaeligbMe[B[]YJbaacute s ^ JtimesbLNPO`YJLJ H MN HH MeJXiacuteNPbnJaeligQcYuWFJUfcf^eJ H JUb H JU^aJUPJUOaQVX H MeJaumlbn[]fR[Phiexcl[SXMJLhYZMQRh H QsY(bLfR[]YJ H [ H MJgXiacuteNPbnJIacutebn[]fR[Ph^

YOEAEligMgtIltROgravesup3PshyAtildeT13MKI5O H MQcYKNiKEgraveJLheuWNtildeJKhZ[PKEgrave[]YJN OeJW 0jfRJLhQcNPOAumlZaringQsOQZaringQVcurrenUN H Qc[]OAumlZOslashJ H Me[W^ H [bn[]ZOslashK-j H J H MJUPJUfR[WbLQ H mpoundUPJUb H [Pharing[SXNPONPb H QVUPJ bn[]O H []jeh H MN H JUOYZjehZJUYtimesQ H WQcfcfJUP[]fVUPJ NPYordfXiacuteNPY H NPYOtildeKEgrave[]YZYZQRcentfcJ H [WNih^YIacuteNZaringQcOQCZIacutejFZ [SXN bnhQ H JLhQR[]OeumlQcObLfcj^QcOF[centEgrave[ H MUacutehZJ[]QR[]OeVcentNPYJU^TNPO^OtildecentEgrave[]jO^NihYmVcentNPYJU^ H JLhlZ Y^ q jehgNiKKhZ[]NPbMIacuteQcYcentNPYZJU^Otilde[]OYZMNiK=J[PK H QZaringQVcurrenUN H Qc[]OOslashKhQcObLQRKfRJUY$NPO^ QcYyKEgraveJLhYXiacute[PhlZOslashJU^ QcO H MehZJLJ5ZaringNPQcO Y H JLKYaringf^ltO H hZ[W^jb H QR[]O[SX$NOslash^mWONSZaringQcbLNPfYbMeJZOslashJIacuteQcO H MeJTbnhQ H JLhQR[]OOe ^vF[]ZOslashKj H N H Qc[]Oaelig[SX H MeJ_0jfRJLhdQcNPOaelig^eJLhQVUiN H QVUPJ[SX H MJbnhQ H JLhQR[]OOslashjYZQcO[OtildeYZMNiKEgraveJ

[PK H QZaringQVcurrenUN H Qc[]O H [[]fcYe^vF[]ZOslashKj H N H Qc[]Oa[SX H MeJtimesJUP[]fcj H Qc[]OaJBjN H QR[]O`[SX H MeJaeligNPb H QVUPJtimesbn[]O H []jehiexclXiacutehZ[]ZH MeJT^eJLhQU~N H QVUPJS^

iexcl Ntilde _ cent G NPfcfR[WY H [hJUNP^QcfVm H N`PJNtildeQcO H [NPbLbn[]jO H9H MeJybLNPYJ0[SXBhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H^eJUYbnhQRK H [PhY H MN H NihZJo[]fR[PcentNPfcfVmN HH NPbdMeJU^ H [ H MeJ JUP[]fVUWQcO[ hZJ[]QR[]OYtimesNPO^Y[H MN H UiNihYm^jehQsO[ H MJaumlKhZ[PKN[]N H Qc[]O [SX H MJaumlbLjehYUPJS^ JTYMe[W H MN HH MeJgUiNihQuVN H QR[]O [SX H MeJUYJ^JUYZbnhQRK H [PhdY QsO^jbnJUYNP^^Q H QR[]ONPf H JLhlZaringYQcO H MeJeumlJUP[]fcj H QR[]OJBjN H QR[]Oeuml[SX H MeJaringNPb H QVUPJ bn[]O H []jeh^MJUYJ H JLhlZaringYgZtimesjY H Oe[ H centEgraveJlaquoX[Phl[P[ HH JUOQcO[Ph^JLh H [ hZJUNPbMeumlN H hjeJZ QcOQZtimesjFZ[SX H MeJtimesbnhQ H JLhQc[]OaNPYUacuteQ H MNPYcentEgraveJLJUOKEgrave[]QcO H JU^[]j H QsOJkBKEgraveJLhQZaringJUO H NPfEgravehZJUYjf H Y^

Yfrac34XiacuteNiheumlNPYeumlMe[]ZOslash[S[PJUOeJL[]jYeumlbn[]fR[PheumlhZJ[]Qc[]OY`YZJ[]ZOslashJUO H N H Qc[]OQsY`bn[]ObnJLhdOeJU^OeWFJKhZ[PKEgrave[]YJ H MeJ`bn[U~NihQsNPObnJfrac34ZaringN H hdQk^eJ H JLhlZaringQcONPO H NPY N^eJUYbnhQRK H [Ph^MQcYY H N H QsY H QcbLNPfhZJ[]QR[]OeV4^eJLKEgraveJUO^eJUO H ^JUYZbnhQRK H [PharingNiKK=JUNihdY H [centEgraveJN UPJLhlm7hJUfRJU~NPO HH [B[]fampNPO^eumlY[ Q H MNPYUacutecent=JLJUOeumlYZjbLbnJUYZYXqjfcfVm NiKKfsQRJU^ H [XqNPbnJaring^eJ H JUb H QR[]OQcOfrac34UWQc^eJL[YJBjeJUObnJUY^

iquest acuteraquoacuteLacuteIltR]acuteAtildeagraveIgravefrac14dEcircsup1Atilde5AringiquestLmiddotNtildeIumliquestUumlgIumlUTHORNampAtildeEacutecedilAtilde5AringAcircnAtilde|iquestaacuteIacuteIumlIZEgravefrac14Zcedilfrac12frac14dAringiEcirc]iquestfrac14draquoiEcirc[NtildeIumlagraveAringEacutePAtildecedilwAacute4] uacute_^J^J^ iquest)` igraveraquoLCcedilfrac14cedil4Ecircfrac14draquo~Ecirc(Auml|AringAacuteCcedilfrac14Zcedil4Ecirc

Agrave5AringcedilAcircnAtilde$AtildeAcircnAuml|frac12AringAacutesup1AumldraquoTAringAEligwsup1raquo~ordm(frac12Atilde5AcircnAtilde5frac12AEligwAtildeAacuteampIgrave(Atilde AacuteIcirc~AumlUEcircSaIumligraveraquo13] x4~rv p4PldrRtcoPl|Egraveod5v pv i4vodaumlx4shyl not vsectpqo v tu not Iumlcb$Auml|EacutePAtilde|iquestednfrac14Oumlifrac14draquoIuml

agraveIgrave(Aumldraquo~Auml|Aringiquest~igrave4IumlPfrac14raquoiEcircfWIumliTHORNampAringIcircifrac14Igrave(Atilde5frac12G] divideugrave|ugrave|ugrave iquest` igraveAacuteAtildecedil4frac14ZAacutesup1Acirc|AtildeNtildeEacute~frac14dAgrave4UgraveUCcedilEgravefrac14cedil4EcircUacuteAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoUacuteOgraveregAumldcedilIcirc~sup1Atildecedil4frac14cedilAgrave4Icirc~sup1currenEumlAgravefrac14dfrac12=CcedilEgravefrac14AcircnAtilde5frac12AtildeAacutesup1Igravefrac14ordm|AtildeAgrave5AumlUEcircsup1raquo~ordmIaIumlaeligigraveiacuteraquoS] x4rv p ildrRtcodil|ampod5v pv P4vOtildeodOslashx4shy(l not vFsectpqo v tu not Iumlg frac14raquo~Agrave5AumldAring~AcircnAtildecediliquestehEgravefrac14raquoifrac14|Ecircfrac14Iuml

agraveAringEacutePAtildecedilwAacuteiquest[NtildeIumlWfrac14raquoiEcircifWIuml13b$Aumldcedilraquo~OumlcedilAuml|EacuteAEligqAacute4] divideugrave|ugraveuacute iquestkj ldrregv shy(ldrRtcl|ipwonm5v shyNtildetuOslashtushyl not vampipwo4v tu not sect9ldp4rRtcl|Egravedt lv pv ~rRtRl|9vDm~lrRtcod~ldiTrreg~vUacutel| Uiexcloqnldp4tcldrRtRod~ iquestpoAumlIuml uacute_qEr IumlOslashagrave9Ouml~Oumlfrac12sup1AtildeEcircaacuteUacutefrac14AacuteIcirc~AtildeIgravefrac14Aacutesup1Agravefrac14dfrac12BatildeAgravesup1Atilderaquo~Agrave5Atilde5AElig5iquestPatildeOumlcedilsup1raquoordm|Atildecedil g Atildecedilfrac12frac14dordmIumlhEgravefrac14dAEligwAtilde5frac12frac12Atilde5AElig5iquest g Iumliquest~szlig0Iumleb$sup1Igrave(Igrave(Atilde5frac12Riquestifrac14raquoiEcirc[NtildeIumlatildefrac14dOumlsup1cedilAumlI] uacute_^J^Er iquest`s[Atilde5AumlUEcircAtilde5AEligwsup1AgraveFfrac14dAgraveAacutesup1AcircnAtildeyAgrave5AumldraquoUAacuteAumldAringcedilAElig_aIuml x4~rv p4PldrRtcodPldpoundUodUp4Pl|WoqodshyiUrv paumlumltutcodutet13v uacute+w iquestex uacuteyIrz^ Iuml

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CBh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34LiquestBagraveyIumlWfrac14raquoiEcircidIumlBTHORNampAringraquo~Agravefrac14raquo13] uacute4^z^J^ iquest`[ampfrac14Igrave(AtildeEumlcAacuteIcirc~Atilde5AumlcedilAtildeAacutesup1Agrave(sup1raquoUAacuteAtildeordmdcedil4frac14Aacutesup1AumldraquoaeligOgraveuAumldcedil0sup1Igravefrac14dordmdAtildeAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIuml xQ|||~pwl~ lnrRtcodNtildeodiexclsect9lrRrv p auml9Pl| ~tuyldi j l|4Utu]vx4~rvreg t not v P4v Iumlh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34Liquestgagrave0IumliquestIumlgatildeUAacute4frac14dsup1Eacuteiquest9frac14draquoiEcircdIuml9THORNampAringraquo~Agravefrac14raquo13] uacute_^J^ xiquest` THORNampAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeIacuteEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34iraquo~Ecircsup1raquo~ordmsup1raquoIgrave(AtildeEcircsup1Agravefrac14frac12iexclsup1Igravefrac14ordm|Atilde5AEligaringEacuteLfrac34Oacutesup1raquoLAacuteAtilde5ordmcedil4frac14Aacutesup1raquo~ordm ordmdcedil4frac14|Ecircsup1Atilde5raquoLAacute frac14raquoiEcirccedilAtilde5ordm|sup1Auml|raquo sup1raquoOgraveuAumldcedilIgravefrac14ZAacutesup1Auml|raquo13aIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu notI iquesteE ^4y rdugrave Iumlh=Icircifrac14raquoiquestBETHIumlWfrac14raquoiEcircIuml g Atilde5AEligwAtildeJ] dividedugravedugraveuacute iquest` agraveAgraveAacutesup1AcircnAtildeFAgrave5Auml|raquoLAacuteAuml|AringcedilAElig$Ccedilgsup1AacuteIcircAuml|AringAacuteNtildeAtilde5Ecircordm|AtildeAElig_aIuml xQ||k|~pwld lnrRtcododUacutex4shy(l not v9sectpqo4v 4tu notuU v divideJw iquest divide xJx ydividezrJr Iumlh=Icirc~Atilde5AEligwraquo~frac14dAring~EcirciquesthIumliquestfWIuml=szligAtildeOgraveYacutecedilIAtilde5ordm|sup1Atildecediliquestfrac14draquoiEcirc g Iuml5Z=AumldAring~frac12AtildeAacute4] uacute_^J^z^ iquest`currenatildeUAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12cedilAtilde5ordmdsup1AumldraquoAEligwraquoifrac14dUgrave|AtildeEumlsEacuteifrac14dAEligwAtilde5EcircAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquofrac14|Ecircfrac14dOumlAacuteAtilde5EcircFAacuteAumlyEcircsup1s]AtildecedilAtilde5raquoLAacute-Ouml~IcircLfrac34AEligwsup1Agrave5frac14dfrac12~raquoAuml|sup1AEligwAtilde9Igrave(AumlUEcircAtilde5frac12AElig_aIuml xQ||k|~pqld~ lnrRtco~$osect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4vt iquest uacute|uacute_q y~uacute|uacute xIumlh=Auml|IcircAtilde5raquoiquestIuml] uacute4^z^uacute iquest`currenmiddotraquofrac14dAgrave Aacutesup1Acirc|Atilde Agrave5AumldraquoLAacuteAuml|AringcedilIacuteIgrave(AumlUEcircAtildefrac12AEligtimesfrac14draquo~EcirceumlEacuteifrac14dfrac12frac12AumlLAuml|raquoAElig_aIuml odshyiUrv pumltutcod pwl Utc0ldix4shyl not vsectEgravepwo4v tu not x4shyl not vOtildePnv p rsldidtu not) iquest divideUuacuteduacuteydivideLuacute UIumlh=Auml|IcircAtilde5raquoiquestSIumliquestUumlIuml13ZEgravefrac14cedil4Ecircsup1raquo~AtildeAacuteiquestfrac14raquoiEcircoNtildeIumlagrave9frac34Lfrac14dAgrave4Icirc~AtildeJ] uacute_^J^z iquest`atildeUAringcedilwOgraveufrac14dAgrave5Atilde0cedilAtilde5Agrave5Auml|raquoAEligqAacutewcedilAring~AgraveAacutesup1AumldraquotimesAring~AEligwsup1raquoordmfrac14AgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilaumlIgrave(AumlUEcircAtilde5frac12AElig_aIuml igraveiacuteraquoS] Lsect=xQ|od5v pv P4v od vwodshy(v rRp tc j v rregodtimestuodshyiUrv pumltutco Iuml~atildefrac14raquoUacuteTHORNampsup1Atilde5ordm|AumliquesthEgraveagraveyIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquestEgraveUumlIuml] dividedugrave|ugravedugrave iquest`currenatildeAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquo Ouml~frac14cedilAgrave5Auml|raquoLAacuteAuml|AringcedilAEligUacutefrac14AgraveAacutesup1currenOgraveuAEligUacuteAtilde5raquosup1Igravefrac14dordmdAtildecedilsup1AtildeIacuteIgraveAtilde5Ecircsup1Agravefrac14dfrac12AtildeIacuteEcircfrac34UEumlraquoifrac14dIgrave(sup1ecircLAring~Atilde]ampfrac14Ouml~Ouml~frac12sup1Agravefrac14ZAacutesup1AumldraquoAtilde5raquoeumlAgravefrac14Zcedil4Ecircsup1Auml|frac12Auml|ordmdsup1Atilde raquoUAring~Agravefrac12Atilde5frac14dsup1currencedilAtildeJaIumlfIcircIuml THORNFIumlAacuteIcirc~Atilde5AEligwsup1AElig5iquestraquo~sup1AcircnAtildecedilAEligwsup1currenAacutefrac34`AumlOgraveosup1Agrave5AtildeEumliacuteatildeAumldOuml~Icircsup1Yacutefrac14NtildeagraveraquoLAacutesup1OumlPAuml|frac12sup1AElig5iquestPeacutecedil4frac14raquo~Agrave5AtildedIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquest|UumlIumliquestUaacuteIacuteIumlEZEgravefrac14cedilfrac12frac14dAring~Ecirciquest[NtildeIumlLagraveAringEacutePAtildecedilwAacuteiquest|frac14draquoiEcirc dIumlnTHORN$frac14ZcedilAgrave5Auml|AringcedilwAacute4] divideugrave|ugraveUuacute iqueste`currenatildeOuml~frac14dAgrave5AtildeEgraveAacutesup1Igrave(AtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14EumlAacutesup1AumldraquoUacuteAring~AEligwsup1raquoordmfrac12Atilde5AcircnAtilde5frac12AEligwAtildeAacutefrac14dAgraveAacutesup1AcircnAtilde$AgraveAuml|raquoLAacuteAuml|AringcedilAEligfrac14Ouml~Ouml~frac12sup1AtildeEcirciexclAacuteAumlFIgraveNtildefrac34LAumlLAgravefrac14Zcedil4Ecircsup1frac14dfrac12ordmnfrac14ZAacuteAtildeEcircOtildeatildeIf-UumlkhEgraveETHaIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu not t v rJw iquest)x qJ+y xJ ^ Iuml

THORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquest13iexclNtildeIumlfrac14draquo~EcircdIumlWaacuteAuml|raquoLAacute4frac14ordm|raquoifrac14ZAacute4] divideugrave|ugraveUuacute iquest` ETHBAumldOumlPAuml|frac12Auml|ordmfrac34Oslashfrac14raquoiEcircIacuteAEligwIcirc~frac14dOumlPAtildeAgraveAuml|raquo~AEligqAacutewcedil4frac14sup1raquoUAacuteAEligyAumldraquotimesOumlifrac14Zcedil4frac14EumlIgrave(AtildeAacutewcedilsup1AgraveOslashfrac14dAgraveAacutesup1AcircnAtildearingAgrave5AumldraquoLAacuteAuml|AringcedilAElig_aIuml odshy~rv pumltutcodldP x4shy(l not vPLv p4rsldPtu notcent) v divideJw iquestuacute_qnugrave4yiuacute4rUuacute Iuml[Auml|Igrave(Atilde5AElig5iquestpounddIumlfrac14draquo~EcircaringmiddotNtildeIumleacuteifrac14Aring~ordm|Atilde cedil4frac14dAElig_] divideugrave|ugrave|ugrave iquestcurren` szlig9Atilde5Agrave5Aumldraquo~Agrave5sup1frac12sup1raquo~ordmIacuteEcircsup1AEligqAacute4frac14draquoAgrave5AtildeOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligfrac14draquo~Ecircaeligfrac12Atilde5AcircnAtilde5frac12EgraveAEligwAtilde AacuteAElig_aIumlpoundUodUp il|WoqUacuteumltul|-odshyNtildeshyFU~tR4lrRtcodTldix4shyl not vampgvipv v rsldrRtcod ) iquest dividedugravez^+ydivideddividez Iuml[cedil4frac145frac34LiquestszligyIumliquestdIumlyen-Auml|Aringraquo~ordmiquestampfrac14raquoiEcircagrave0Iumlampagravesup1currenfrac34LAtildecedil4] dividedugravedugraveuacute iquest `aacutesup1raquosup1IgraveNtildeAring~Igrave Ecircsup1AEligwAgrave cedilsup1Igrave(sup1raquo~frac14Aacutesup1Auml|raquosup1raquoOgraveregAumldcedilIgravefrac14Aacutesup1AumldraquoAgrave5frac12Aring~AEligqAacuteAtildecedilsup1raquo~ordmI]Igrave(AumlUEcircAtilde5frac12sup1raquo~ordmTfrac14raquoiEcircOslashecircLAringifrac14raquoUAacutesup1Ocircfrac14ZAacutesup1Auml|raquoOslashCcedilgsup1currenAacuteIcirc ordm|frac14dAringAEligwAEligIgrave(sup1currenicircAacuteAringcedilAtilde5AElig_aIumlTigraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquest=atildePIumliquest=aacuteIacuteIumlkZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestEgravefrac14raquoiEcirc[NtildeIuml=agrave9Aring~EacutePAtildecedilwAacute4] dividedugrave|ugraveUuacute frac14Uiquest` agrave EumliacuteatildeUAacuteAtilde5Ouml frac14dfrac12ordm|Aumlcedilsup1currenAacuteIcirc~IgraveAring~AEligwsup1raquoordmcedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtilde=Agrave5Auml|raquoLAacuteAuml|AringcedilAEligeOgraveuAumldcedilAcircUsup1EcircAtilde5AumlAuml|EacuteUbrvbarqAtilde5Agrave AacuteAElig=EcircAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoSaIuml~igraveraquo13]psect xw j x4 sect odpDumlqo odUacutex4shy(l not v9Pl| ~tu5op j rRtushyvwdtclNtildex4rv pwlnrRtKndvy]v pntc4v IumliETHWfrac14dIgrave(OumlPAtilde cedilAtilde|iquestieacuteWsup1raquofrac12Yacutefrac14raquoiEcirc]Iumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquestUatilde]IumliquestUaacuteIacuteIumlUZ=frac14cedilfrac12frac14dAring~EcirciquestUfrac14raquoiEcirccopy[NtildeIumlUagrave9Aring~EacutePAtildecedilwAacute4] dividedugravedugraveuacute EacuteiquestA` szlig9Atilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14AgraveAacutesup1AcircnAtildegAgrave5Auml|raquoLAacuteAumldAringcedilAEligOgraveuAumldcedilAcircUsup1YacuteEcircAtilde5AumlaringAuml|EacuteUbrvbarqAtilde5Agrave AacuteOtildeAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo Ccedilgsup1currenAacuteIcircaAgrave5frac14dIgrave(Atildecedil4frac14OslashAgrave5AumldIgrave(OumlPAtilde5raquo~AEligfrac14ZAacutesup1Aumldraquo13aIumligraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquesteatilde]IumliquestWaacuteIacuteIumlZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestefrac14draquo~Ecirc[NtildeIumlBagraveAring~EacutePAtilde cedilwAacute4] divideugrave|ugraveuacute Agrave|iquestk` g sup1EcircAtilde5AumlUacuteAuml|EacuteUbrvbarqAtildeAgraveAacuteFAEligwAtildeordm|Igrave(Atilde5raquoLAacute4frac14Aacutesup1AumldraquoAring~AEligwsup1raquo~ordmIacuteAtilde5Aring~frac12Atildecedilsup1frac14draquo cedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAElig_aIuml igraveiacuteraquoS] x4rv p ildrRtcodil|yodv pwv P4vIacuteoodshyiUrv paumlumltutcod Iuml g frac14draquoAgrave5Auml|AringAcircnAtildecediliquestehEgravefrac14draquo~frac14|Ecirc~frac14UIumlbyfrac14dAEligwAElig5iquesteaacuteIacuteIumliquestWagrave0Iuml Ucirc sup1currenAacuteUgravesup1raquoiquestWfrac14raquoiEcirctimesTHORNFIumlWETHBAtildecedilOcirc5AumldOumlPAuml|Aringfrac12AumldAElig_] uacute4^ JUiquestk`currenatilderaquoifrac14UgravenAtilde5AElig_]WagraveAgraveAacutesup1AcircnAtilde(Agrave5AumldraquoLAacuteAuml|Aringcedil0Igrave(AumlUEcircAtilde5frac12AElig_aIumlx4~rv p4PldrRtcoPl|WpoundUop4PldWoqodshyiUrv pTumltutcod iquest ndivideUuacuteyUzndivide Iuml

aacuteUacutefrac14dfrac12frac12frac14|Ecircsup1ciquest~szlig0IumliquestedIuml]atildeUAtildeAacuteIcirc~sup1frac14raquoiquest~frac14draquoiEcircZIuml g Atilde5IgraveNtildeAringcedilsup1G] uacute4^z^ UiquestS`atildeUIcircifrac14OumlPAtilde$Igrave(AumlUEcircAtilde5frac12sup1raquo~ordm0Ccedilgsup1AacuteIcirciexclOgraveregcedilAuml|raquoLAacuteOumlcedilAumldOumlifrac14dordm|frac14EumlAacutesup1Aumldraquo13]nfrac14ampfrac12AtildeAcircnAtilde5frac12AEligwAtildeAacuteEgravefrac14Ouml~OumlcedilAumlnfrac14dAgrave4Icirc13aIuml xQ|||~pwld lnrRtcodampodsectgldrRrv p 9Pl| ~tu9ldP j ln4Utreg]vx4~rvu t not v i4v Iordf iquest uacute z yiuacute+r UIuml

aacuteUacutefrac14draquoAEligwAuml|Aringcedilsup1Riquestagrave0Iumlfrac14draquo~EcircdIumlb$Auml|raquocedil4frac14|EcircS] uacute_^J^J^ iquestlaquo`currenaacuteAumldAacutesup1AumldraquoAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo`Ccedilgsup1currenAacuteIcirceumlfrac12Atilde5AcircnAtildefrac120AEligwAtilde AacuteAElig_aIuml igraveraquo13]x4~rv p4PldrRtcoPl|=ov pwv P4vNtildeodUacutex4shyl not vsectEgravepwo4v tu not Iumlcb$AumldEacutePAtilde|iquestednfrac14dOuml~frac14draquoIuml

aacuteAuml|raquoLAacute4frac14dordmdraquoifrac14ZAacuteiquestdIumliquestziexcl0IumlTHORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquestdfrac14draquo~EcircoNtildeIumlZagravegfrac34Ufrac14dAgrave4Icirc~AtildeJ] dividedugrave|ugraveUuacute iquest` agraveOslashcedilAtildeAcircsup1AtildeCcedilaeligAumldOgravePEcircAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeAEligwAringcedilwOgraveufrac14dAgrave5AtildeAElig_]AacuteAuml|OumlPAuml|frac12Aumldordmdfrac34Liquestgordm|AtildeAuml|Igrave(AtildeAacutewcedilwfrac34frac14draquoiEcirc EcircAtildeOgraveuAumlcedilIgravefrac14Aacutesup1Auml|raquoSaIuml x4shyl not vtimesldiOacuteumltutcododshy~rRtreg not0Inot v uacute_qw iquestuacuteugravendivide+y~uacuteugravezq|ugrave Iuml

aacuteAring~IgraveOgraveregAumldcedil4Ecirciquest=THORNFIumlgfrac14raquoiEcircdIumlatildeIcirc~frac14dIcircS] uacute4^ ^ iquest`currenmiddotOumlAacutesup1Igravefrac14frac12$frac14dOumlOumlcedilAumlicircsup1Igravefrac14Aacutesup1Auml|raquoAEligEacuteLfrac34Oumlsup1AtildeAgrave5AtildeCcedilgsup1AEligwAtildetimesAEligwIgrave(AumlLAumlAacuteIcircOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligFfrac14raquoiEcircOslashfrac14dAEligwAEligwAumlLAgravesup1Yacutefrac14ZAacuteAtildeEcircaringAcirc|frac14Zcedilsup1Yacutefrac14ZAacutesup1Auml|raquoifrac14frac12EgraveOumlcedilAumldEacute~frac12Atilde5Igrave(AElig_aIuml odshyNtildeshyFU~tR4lrRtcod~oaeligsectEgraveUpvUacuteldiEgraveni tsvw j ldrreg~v shy(lrRtccurrenshyt iquest rzr4y xJ q Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfa

yenKbrvbarsect =4 acirc $ zmiddotAEligwIcirc~AtildecediliquestdatildePIumlfrac14draquo~EcircdIumlnatildeAtilde AacuteIcirc~sup1frac14draquoS] uacute4^ ziquest` eacutecedilAuml|raquoLAacuteAEligeOumlcedilAumldOumlifrac14ordmnfrac14Aacutesup1raquoordmCcedilgsup1currenAacuteIcircFAgrave5AringcedilAcirc|frac14ZAacuteAringcedilAtildeEumlEcircAtilde5OumlPAtilde5raquoiEcircAtilde5raquoLAacuteBAEligwOumlPAtildeAtildeEcircS]

agravefrac12ordm|Aumlcedilsup1AacuteIcircIgrave(AEligEacute~frac14dAEligwAtildeEcircaumlAuml|raquoiexclampfrac14Igrave(sup1frac12AacuteAumldraquoEumldnfrac14Agrave5Auml|Eacutesup1eacute~AumldcedilIgraveNtildeAring~frac12frac14Aacutesup1Auml|raquoSaIuml poundUodUp4Pl|oqiexcloshyiUrsldrRtcoPl|sect=U~tc ordfenot iquest uacutedivide4yEqE^ Iumlfefrac14cedil4frac14ordm|sup1Auml|AElig5iquestoNtildeIumlfrac14draquo~EcircIacuteszligyIuml]THORNampAtildecedilsup1Agrave4Icirc~AtildeJ] uacute4^z^J^ iquest`s[Atilde5AumlUEcircAtildeAEligwsup1Agravefrac14AgraveAacutesup1AcircnAtildeFcedilAtilde5ordmdsup1Auml|raquo~AElig$OgraveregAumldcedil0Igrave(AumldAacutesup1Auml|raquoTAtilde5AEligqAacutesup1Igravefrac14Aacutesup1Aumldraquofrac14draquoiEcircAacutewcedil4frac14dAgrave4UgraveUsup1raquoordmAaIumligraveiacuteraquoS] x4rv p ildrRtcodil|-ov pwv P4vFodOslashodshyiUrv paumlumltutco Iumleh=AumldcedilwOgraveregAringgt[cedilAtilde5Atilde5Agrave5Atilde|Iumlfefrac14AacuteAtilde5Aringicirc]iquestatilde]Iuml] dividedugravedugrave|ugrave iquestpound`currenatildeOuml~frac14Aacutesup1frac14dfrac12AEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoTAumldOgrave=Agrave5Auml|frac12Aumlcedilysup1Igravefrac14ordm|Atilde5AEligampfrac14dAgrave5Agrave5Aumlcedil4Ecircsup1raquo~ordmAacuteAumlUacuteaacuteTHORNaringOgraveregAumldcedilIgravefrac14dfrac12currenEumlsup1AEligwIgraveaIumlyigraveraquo13] x4~rv p4PlrRtcodPld=od5v pv i vodododpFtu pwl4UtcldPx4shyl not vysectpqo v tu not Iumlatildefrac14dsup1raquoLAacute UumleAacutesup1Atilderaquo~raquo~Atildediquestieacutecedil4frac14raquo~Agrave5AtildedIumlfcedilAtildeAgrave5sup1Auml|AEligwAumliquesteacute=IumlEgravefrac14raquoiEcirc aacuteIacuteIumlcurrenZEgravefrac14cedilfrac12frac14dAring~EcircS] dividedugrave|ugraveUuacute iquest` Z-EumliacuteatildeUOuml~frac12sup1raquo~Atildeaumlfrac14dAgrave Aacutesup1Acirc|AtildeOtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAEligOgraveregAumldcedilOgraveRfrac14AEligqAacuteAcircUsup1EcircAtilde5AumltimesAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIumlOacuteigraveraquo13] x4rv p ildrRtcodil|od5v pv P4vaeligod x4shy(l not vUacutesectpqo4v 4tu not IumlETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1Riquest[cedilAtilde5Atilde5Agrave5Atilde|Iuml

szligAumldraquoOgraveufrac14cedil4EcirciquestszligyIuml] uacute_^J^q iquest` szlig9Atilde5ordmdsup1AumldraquoEumlsEacuteifrac14AEligwAtildeEcircFAEligqAacutewcedil4frac14ZAacuteAtilde5ordm|sup1Atilde5AEligeOgraveuAumlcedil-frac14dAgraveAacutesup1AcircnAtildeEgraveAgraveAuml|raquoLAacuteAuml|AringcedilIgrave(AumlUEcircAtilde5frac12AElig_aIuml x4~rv p4PldrRtcoPl|poundUodUp il|WoqodshyiUrv paumlumltutco I v dividezw iquest divideddividez^+yUdivide uacute Iuml

atildefrac14Igrave(AEligwAuml|raquoiquestzhIumliquestzIumlzZ=frac12frac14raquo~AgraveEumleacuteAtildecedil4frac14AringiEcirciquestJ[NtildeIumldagraveAringEacutePAtildecedilwAacuteiquestfrac14draquo~Ecirc dIumlJregPAtildecedilAring~Eacutesup1frac14I] dividedugravedugrave|ugrave iquest` agrave frac12Atilde5Acirc|Atilde5frac12UAEligwAtildeAacuteIgrave(AumlUEcircAtilde5frac12nOgraveregAumldcedilsup1Igravefrac14ordm|AtildeAgrave5frac12frac14dAEligwAEligwsup1siAgravefrac14ZAacutesup1Auml|raquo13aIuml x4~rv p4PlrRtcodPldpoundUodUp4Pl|BoqNtildeodshyiUrv pOtildeumltreg4tRod shy v Ew iquest uacute r4y~uacute4^Er Iuml

atildefrac14raquo~ordmdCcedilgsup1raquoAtilde|iquest9atilde]IumlEgravefrac14draquo~Ecircszlig0IumlampiexclAumldcedilraquoAtilde v Atilde5EcircAElig5Iuml w ] uacute_^J^ Uiquest ~vIacuteo|odUpaumltushyl not vipqo4v 4tu not ldP|m4oo4uml Iumlh=Icircifrac14dOumlIgravefrac14draquodegmacriexclampfrac14dfrac12frac12RIumlatildeAtildeAacuteIcircsup1frac14draquoiquestdIumlplusmn] uacute4^z^|ugrave iquestU` oAringIgrave(Atildecedilsup1Agravefrac14dfrac12Ufrac14frac12ordm|Aumldcedilsup1currenAacuteIcircIgrave(AEligWOgraveuAumldcedilOumlcedilAuml|Oumlifrac14ordmnfrac14ZAacutesup1raquoordmsup1raquoLAacuteAtildecedilwOgraveRfrac14Agrave5Atilde5AElig_]Jiexclampfrac14dIgrave(sup1frac12currenAacuteAuml|raquoEumldnfrac14dAgrave5AumldEacute~sup1

AtildeecircLAringifrac14Aacutesup1Aumldraquo~AElig-frac14draquoiEcircAgraveAuml|raquo~AEligwAtilde cedilAcirc|frac14ZAacutesup1Aumldraquo(frac12frac14CcedilgAElig_aIuml poundUodUp4Pl|]oqEgraveyen$t lv pv rRtcl| voshyv rRp~ iquest uacute4Uuacutey~uacute x uacute IumlatildeAtildeAacuteIcircsup1frac14draquoiquestAdIuml] uacute4^J^ xiquest kWvndvB]v r j v rregod IumlcurrenhEgravefrac14dIgraveNtildeEacutecedilsup1EcircordmdAtilderaquosup1AcircPIumlAfecedilAtilde5AEligwAElig5Iumlatildesup1Ecirc~Ecircsup1ecircUsup1Riquest4bIumliquest_yenNtildeIumlBfrac14Aring~Ocirc5sup1Gsup2AtildecedilAtilde|iquestagraveyIumlETHWfrac14draquoraquo~Atilde5raquoUEacute~frac14dAring~IgraveUacuteiquest5frac14draquo~EcircNtildeatildePIumlregPAring~Agrave4UgravenAtildecedil4] uacute_^J^ xUiquestE`currenagravegcedilAtildefrac149frac14draquoiEcirc$frac12Atilde5raquoordmdAacuteIcircyIgrave(sup1raquoEuml

sup1Igrave(sup1Ocirc5sup1raquoordm sup3iAumlCcedilgAEliggOgraveuAumldcedilAEligwIcircifrac14OumlPAtildeyAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo13aIuml xQ|||~pwl~ lnrRtcodoOtildex4shyl not vsectEgravepwo4v tu notordf v Ew iquest qEz+yqzqE Iumlyen=AtildeOcirc5Ocirc5sup1RiquestagraveyIumliquest5agrave0Iuml5ETHEgraveAEligfrac14dsup1Riquestfrac14draquo~Ecirc$agrave0Iuml Ucirc sup1frac12frac12AEligwUgraveLfrac34] uacute4^z^J^ iquestJ` agraveaeligAEligqAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12Ufrac14dOumlOumlcedilAumlnfrac14Agrave IcircampAacuteAumlgAEligwraquo~frac14dUgravenAtilde5AElig]OgraveuAumlcedilWEacutesup1Igrave(AumlUEcircfrac14dfrac12frac14draquoiEcircAacutewcedilsup1Igrave(AumlUEcirc~frac14frac12isup1Igravefrac14dordmdAtildecedilwfrac34aIumligraveraquo13] x4rv p ildrRtcodil|eodv pwv P4vyodx4shyl not vgsectpqo v tu not IumlAb$AumldEacutePAtildednfrac14dOuml~frac14draquoIumlreg]IcircUAringiquest]atilde]Iumlfrac14raquoiEcircaumlagrave0Iumleyen=Aringsup1frac12frac12AtildeJ] uacute_^J^ xUiquestpound` szlig9Atilde5ordmdsup1AumldraquotimesAgrave5AumldIgrave(OumlPAtildeAacutesup1currenAacutesup1Auml|raquo13]iAring~raquo~sup1currenOgraveYacutefrac34sup1raquoordmiexclAEligwraquo~frac14dUgravenAtilde5AElig5iquestPcedilAtildeordm|sup1Auml|raquoTordmdcedilAumlCcedilgsup1raquo~ordmiquestfrac14draquoiEcircZEgravefrac145frac34LAtilde5AEligacute|aacuteTHORNOgraveregAumldcedilIgraveFAring~frac12currenAacutesup1Eacuteifrac14raquoiEcirc sup1Igravefrac14ordm|AtildeTAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo13aIuml xQ|||micro~pwld lnrRtcodtimesosect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4v Icent iquesteJ q+yU^dugrave|ugrave Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfo

i $amp)(+-)013021+345627893lt=gt9A6CBfrac12OcircacuteIshyNT

frac12OcircacuteIltNTpara frac12frac34EMeJaumlQcYZYZjJUacuteQsY H [ ^QEgraveJLhZJUO H QcN H J H MeJordfXiacute[]fcfR[WQcO[Oslash^e[]ZaringNPQsOXiacutejOb H QR[]ONPfdaringocirc|adOuml times jOcircaacute uuml times a2atildeltszligaumlgtszliglOuml times j atilde auml

G QsObnJ H MJeumlYZJ H [SXIacuteNPfcfUacute^e[]ZaringNPQsOYMNPY Oe[ H N Y H hjb H jhZJ`[SXUPJUb H [PhQcNPfOtildeYZKNPbnJSefRJ H jYZ N`PJ H MeJeumlhZJ[]QR[]OYJUP[]fVUPJ H MehZ[]j[]M NrXqNSZaringQcfVm [SX H hNPOYYX[PhlZ N H QR[]OYa(|aagraveszlig jj emiddot iacuteaumlYlZOslash[[ H MaNPO^ centQ ~JUb H QVUPJS^ not [PhNOslashKEgrave[]QcO H $ aacute atildeshyszligaumlN eFWFJTOe[ H JSaring$ aagravej|aacutemiddot|aagraveszlig $ j WiexclQ H M |a s szlig $ jaacute $OumlcopytimesaagravejOcircaacutemiddot|aagraveszliglOumlutimesdj WiexclQ H M |a s szliglOumlcopytimesAjOcircaacuteAumlOumlutimes9J H jY H MeJUO^JOeJ H MeJordfUPJUfR[WbLQ H moUPJUb H [PhdY JUfs^kfrac12 YZjbM H MN H aringfrac12sup1aagraveszlig $ aagravejj|aacute aelig |aelig agrave aagraveszlig $ j YlaquoXiacuteNiharingNPY H MeJ bn[]ZOslashKj H N H QR[]O[SX H MeJ ^eJLhQU~N H QVUPJ QcYOslashbn[]ObnJLhOeJU^OeWFJNihZJQcOWVH JLhZJUY H JU^ QcO YYZaringNPfcfOtilde^JX[PhlZ N H QR[]OY^ J H MBjYJkWKNPO^ H MeJ H hNPOYX[PhZaringN H QR[]ONPbLbn[Ph^QcO[ H [hdY H [Ph^eJLh NmWfR[PhyacuteXiacute[PhlZtimesjfcNaring|aagraveszlig $ jpoundaacuteAElig|a s szlig $ j agrave aelig |aelig agrave a s szlig $ jaacute $ ragrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacute frac14 frac14 a s szlig $ j^ J H MeJUOQcO H hZ[W^jbnJ H MehZJLJgZ NPQcO^eJOQ H QR[]OYaringf^QMeJg0jfRJLhQcNPO^eJLhQU~N H QVUPJOtilde[SXocirc|adOuml times jordfaqQcO H MeJIacute^QRhZJUb H QR[]O[SXcedilfrac12jaring ocirc|adOumlcopytimesszlig_frac12jOcircaacutefcQZUcedil iacute ocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave admacrfj ^QMeJgZaringN H JLhQsNPfg^eJLhQVUiN H QVUPJOtilde[SXuumlStimesYa $ szliglOumlcopytimes)jaringsup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j|aacutefcQZUcedil iacute uumlStimesa $ ragrave3frac12ba $ jszliglOumlutimes agrave3frac12sup1a $ jj uuml]timesa $ szliglOumlcopytimesdjagrave admacr j^QMeJaumlYZMNiKEgraveJOtilde^eJLhQU~N H QVUPJOtilde[SXOcircuuml]timesa $ szliglOumlutimes)jaring

uumlnotraquotimes a $ szliglOumlcopytimesUcircszlig_frac12 jaacutefcQZUcedil iacute uumlStimesYa $ szliglOumlutimesragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave admacrS]j

uumlnyacutenthornnyumll13YSordmY_Fordfy

yenKbrvbarsect =4 acirc $ hq centUWQR[]jYZfVmSe-centmaJkBKNPO^QcO[ admacr jUacuteNPbLbn[Ph^QcOF[ H [hdY H [Phd^eJLhordfNmBfR[PhordfXiacute[PhlZtimesjfcNeWFJaumlMNUPJSaring sup1uumlStimesYa $ szliglOumlcopytimesUcircszlig_frac12 jaacuteAumluumlnotraquotimes a $ szliglOumlcopytimesszlig_frac12jhuumlStimesa $ szliglOumlcopytimes)j frac12sup1a $ j admacrj J H MeJUOabn[]ZOslashK-j H JZOslash[PhJaumlKhZJUbLQcYZJUfVm H MJ0jfRJLhQcNPO ^eJLhdQVU~N H QUPJauml[SXcopyocirc|adOumlcopytimesdj^ JMNUPJSaringocircOcircadOumlutimesaagravejj ocircOcircadOumlutimes)jagrave aacute fagrave = thorn yuml uuml times a $ aagravejszliglOuml times aagravejj $ uuml times a $ szliglOuml times j $ FH admacrSmacr]j5O H MJohY H QcO H J[PhdNPfdeltWFJZaringN`PJ H MeJU~NihdQcNicentfRJ bMNPO[PJ $ aagravejaacute $ agrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacuteethicirc7a2atildeshyszligaumlFjszligicirc cent a2atildeltszligaumlj eWMQcbdM[]QVUPJUYaring thorn yuml uuml]timesYa $ aagravejszliglOumlcopytimesYaagravejj $ aacute admacrS]j

5 uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlutimes agrave3frac12sup1a $ jjlt^eJ H ocirc a $ jlt $WMJLhZJocirc a $ jQcY H MeJgXiacute[]fcfR[WQcO[aringSNPbn[PcentQcNPOtZaringN H hdQkKaring

ocirc a $ jaacute oacute fcedilxagrave frac14 iacute oslashfrac14Uordm agrave frac14 iacute oslashfrac14 ugraveagrave frac14 iacute acircfrac14ordm fcedil agrave frac14 iacute acircfrac14 ugrave ocircNPO^ YZ[eFWNtildeJIacuteMNUPJSaring

^eJ H ocirc a $ jOcircaacute fUragravee^QVUKafrac34frac12sup1a $ jjragrave cent ^eJ H amacr frac12sup1a $ jjMJUOWNtildeJauml[Pcent H NPQcOOaring

fsQZcedil iacute ^eJ H ocirc a $ j fagrave aacute ^QVUKafrac34frac12sup1a $ jj admacr]zSjMJJBjN H QR[]OxadmacrSmacr]j H MeJUOcent=JUbn[]ZaringJUYaringocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave aacute fagrave middot uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jjlt 13raquo ocirc a $ jlt $ uumlStimesa $ szliglOumlcopytimesAj $ admacrSi]j JTbLNPO`YZjeKKEgrave[]YJ H MN H ^eJ H aocirc a $ jjfrac14aacute sfrac12 agrave frac12 $ ^ JZaringNm H MeJUO H N`PJ^eJ H aocirc a $ jjfrac34 s eNPO^ WNtildeJ ^eJUPJUfR[PK H MeJaJkWKhZJUYYZQR[]OadmacrSi]j NPYoX[]fsfR[WQsO[centmNP^^QcO[aringN H JLhZ QcO H MeJIacuteYZJUbn[]O^aQcO H J[PhNPfltWMQcfcJaumlYZjeKKhJUYZYZQcO[ H MeJtimesYZNSZOslashJ H JLhlZQcO H MJordfhY H QcO H J[PhNPfdaring ocirc|adOumlcopytimesYaagravejj ocirc|adOumlcopytimes)jagrave aacuteegraveOtildef1rOtilde cent admacrSh]j

uumlnyacutenthornnyumll13YSordmY_Fordf

s $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJSaring

Otilde aacute uuml]timesa $ ragrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave ^eJ H aocirc a $ jj $ ad s jOtilde cent aacute uuml]timesa $ szliglOumlcopytimesdj ^eJ H aocirc a $ jj fagrave $ adfj

9J H jY_ZaringN`PJordmagrave H JUO^ H [WNih^Y s ^curreniquestYZQcO[frac34admacrjiexclNPO^JOQ H Qc[]OYadmacr e macrS]jeWFJ[PJ H aringfcQZUcedil iacute Otilde aacute sup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j $

aacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ uuml times a $ szliglOuml times j frac12sup1a $ j $fcQZUcedil iacute Otilde cent aacute uuml]timesa $ szliglOumlcopytimesdj^QVUKafrac34frac12 j $

O^ Y[Xiacute[Ph H MeJgNtildejfRJLhQsNPO ^eJLhQVUiN H QVUPJSeWFJgO^Oaring ocirc|adOuml times szlig_frac12jumlaacuteyacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ amacrreguumlStimesYa $ szliglOumlcopytimes)j frac12sup1a $ j7 uuml]timesYa $ szliglOumlcopytimes)j^QVUKafrac34frac12sup1a $ jjj $aacute uumlnotraquotimes a $ szliglOuml times szlig_frac12j $ ^QVUKaduuml times frac12j $ ad j

MeJUO NiKKfVmWQcO[ H MJ hJLJUOWVAQRJZ NPOO H MeJL[PhZJZQcO ad jeWNtildeJ5ONPfcfmtimes[Pcent H NPQcOOaring ocirc|adOumlcopytimesszlig_frac12jOcircaacute uuml raquotimes a $ szliglOumlcopytimesUcircszlig_frac12j $ uacutefrac14 5 uuml]timesYafrac34frac12 eacuteAgraveiquestsup1AacuteAtildeAcircj THORN adS]jWMJLhZJ5eacuteAgraveiquestsup1AacuteAtildeAcircyQcY H MeJUacutejOQ H QcOOgraveWNih^ Oe[PhlZaringNPf H [ aelig OumlcopytimesUcirc^MeJ_NtildejfRJLhQcNPO ^eJLhQVUiN H QVUPJQcY(O[ H JU^ ocirc raquo aagravej(QcO H MeJaumlKNiKEgraveJLhNPO^ H MeJaumlYZMNiKEgraveJauml^eJLhQU~N H QVUPJyuuml raquotimes QcY(Oe[ H JU^ frac14 frac14 ^iquest acutemicrosup1cedilFLft not [PhyYQZOslashKfcQsbLQ H mSeWNtildeJ(bM[[]YJ H MeJcopyXiacute[]fcfR[WQcO[_U~NihQsN H QR[]OaeligQcO H MeJKhZ[B[SXaring$ aagravejaacute $ agrave3frac12sup1a $ j^MJiexclKh[[SXZaringNm NPfcYZ[IacutecentEgraveJiexcl^JUPJUfR[PKEgraveJU^WiexclQ H MZaring[PhZJ_[PJUOJLhNPfUiNihQcN H QR[]OYFYjbM NPYaring $ aagravejaacuteAacuteAgravea $ szligYagravejWQ H MAcircAgrave`NOslashYYZOslash[B[ H MXiacutejOb H QR[]ONPO^AcircAgravea szligYagravejcentQ ~5JUb H QVUPJS^

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ ffrac12OcircacuteIshyNT AcircE J(MNUPJ H [Otildebn[]ZOslashK-j H J H MJNtilde^QEgraveJLhZJUO HH JLhZaringY9[SXQa macr]j9QsOauml[Ph^eJLh H [Uacute[Pcent H NPQcO H MeJ

JUP[]fcj H QR[]OJBjN H QR[]O[SX H MeJ NPb H QUPJ bn[]O H []jehX[Ph H MeJ ^JUYZbnhQRK H [PhdYaumlcentNPYJU^Oacute[]OH MeJ(bn[U~NihQsNPObnJ ZaringN H hQVktimes^eJ H JLhlZ QcONPO H a2Ograveh]j^OgraveMeJ(bn[]ZOslashKj H N H QR[]OaringQcYampKEgraveJLhYXiacute[PhlZOslashJU^Xiacute[Ph H MeJIacute^eJUYZbnhQRK H [Ph_uuml thorn timesOslash yuml ^ q centUWQR[]jYZfmSeN YZQZ QcfcNihbn[]ZOslashKj H N H QR[]OabLNPOacent=JIacute^e[]OeJXiacute[PhOcircuuml thorn UgraveUcircUacuteUuml yuml ^ JiexclbLNPOaeligJkBKhJUYZYOcircuuml thorn timesOslash yuml NPYyNUacutebn[]ZTcent-QcON H QR[]Oaelig[SXgtXiacutejOb H QR[]OYamp^eJLKEgraveJUO^QcOF[[]O H MJOtildehZJ[]QR[]OwOuml timesOslash aring

uumlgtthorn times Oslash yuml a2atildeltszligaumlgtszligYagravejaacute`Ograveoacute m thorn timesOslash yumlaIgraveagrave thorn timesOslash yumlAtilde j cent ocirc adjWMJLhZJordmaacuteAuml85eWiexclQ H MAring8 H MeJordfXqjOb H Qc[]O QcO H h[B^jbnJU^ QcOpounda2Ograveh]je-NPO^aringm thorn timesOslash yuml aacute agrave thorn timesOslash yuml agrave thorn timesOslash yumlcent agrave thorn timesOslash yuml agrave thorn timesOslash yumlAElig agrave thorn times Oslash yumlCcedil agrave thorn timesOslash yumlEgrave agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlEgrave j cent agrave thorn times Oslash yumlcent aIgraveagrave thorn timesOslash yumlCcedil j cent agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlAElig j centWQ H MOaring EFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFH

agrave thorn timesOslash yuml aacute w$ thorn yuml aOtilde S times Oslash j cent atilde aumlagrave thorn timesOslash yumlcent aacute w$ thorn yuml aOtildeOgravecent Scenttimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yuml aacute w$ thorn yuml aOtildeS Stimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yumlAElig aacute w$ thorn yuml aOtilde S times Oslash jaOtildeOgravecent ScenttimesOslash j atilde aumlagrave thorn timesOslash yumlCcedil aacute w$ thorn yuml aOtilde S times Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlEgrave aacute w$ thorn yuml aOtilde cent S centtimes Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlAtilde aacute w$ thorn yuml atilde auml O^ Y[ H MJordfXiacutejOb H QR[]OY aelig thorn timesOslash yumlauml MNUPJ H MeJgXiacute[]fcfR[WiexclQcO[aeligJkBKhZJUYZYZQR[]OYaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

aelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlcent aacute aOtilde cent S centtimesOslash j centaelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlAElig aacute aOtilde S timesOslash jaOtilde cent S centtimesOslash jaelig thorn times Oslash yumlCcedil aacute aOtilde S timesOslash jaOtilde S timesOslash jaelig thorn times Oslash yumlEgrave aacute aOtildeOgravecent ScenttimesOslash jaOtilde13 StimesOslash jaelig thorn times Oslash yumlAtilde aacutemiddotf

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBnot h[]Z H MeJUYJaumlJkWKhZJUYYZQR[]OYeWFJOtildeJUNPYZQcfm ^eJU^jbnJ H MN H aring

$ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde aumlregaacute sEacutefrac12poundEcirc iuml

J H MeJUO MNUPJ H [Tbn[]ZaringKj H J H MeJ H JLhlZaringY eacute thorn times Oslash yumlauml XiacutehZ[]Z H MeJJkWKhZJUYZYQR[]OYamp[SXagrave thorn timesOslash yumlauml eWMQcbM fRJUNP^Y H [aringEFFFFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFFFFH

eacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideoslash aacute w$ thorn yuml uacute ouml $ordfdivideacirc uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIgrave yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H a timesOslash jjeacute thorn timesOslash yumlcent aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideacirc

aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIcirc yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideEuml aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideacirc thorn thorn uacute ouml $_divideIuml yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yumlAElig aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIuml aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideEuml uacute ouml $ordfdivideIuml thorn uacute ouml $_divideIcirc uacute ouml $ordfdivideIgrave yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlCcedil aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIcirc aacute w$ thorn yuml cent thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideacirc uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlEgrave aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIgrave aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideoslash uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlAtilde aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIacute aacute w$ thorn yuml thorn +ETH ouml $_dividethorn uacute ouml $ordfdivideIacute yuml Iuml 8 raquo aq^J H a timesOslash jj

O^centmJkWKhZJUYZYZQsO[ H MeJbn[UiNihQcNPObnJZaringN H hQVkpoundWQ H M H MJregXqjOb H QR[]OYagrave thorn timesOslash yumlauml NPYXiacute[]fcfR[WQcO[aring

timesOslashlaquoaacute 1NtildeNtildeNtildeNtildeNtildeNtilde3uacute ouml $ordfdivideoslashuacute ouml $ordfdivideIacute uacute ouml $_divideIumluacute ouml $_divideIacute uacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIumluacute ouml $ordfdivideIacute uacute ouml $_divideacircuacute ouml $_divideIacute uacute ouml $ordfdivideIgraveuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacute uacute ouml $_divideIgraveuacute ouml $_divideIacute uacute ouml $ordfdivideEumluacute ouml $ordfdivideIacute

6OgraveOgraveOgraveOgraveOgraveOgrave7 J H MJUO^eJU^jbnJSaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

eacute thorn times Oslash yuml aacute a fj thorn yuml ^eJ H aDC Ptimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlcent aacute a fj thorn centcent yuml ^eJ H aDC centcenttimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yuml aacute a fj thorn curren yuml ^eJ H aDC 4times Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlAElig aacute a fj thorn cent yuml ^eJ H aDC centtimes Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlCcedil aacute a fj thorn curren yuml ^eJ H aDC times Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlEgrave aacute a fj thorn centcurren yuml ^eJ H aDCcent4times Oslash j48 raquo aq^eJ H a timesOslash jjeacute thorn times Oslash yumlAtilde aacute amp^eJ H a timesOslash j48 raquo aq^eJ H a timesOslash jj

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ SWMJLhZJC EBtimesOslash QcY H MeJgZaringN H hdQk ^eJU^jbnJU^Xh[]ZOacutetimesOslasharingcentm YZjeKKhZJUYZYZQcOF[ H MeJyuuml UumlON hZ[WNPO^ H MJ I UumlON bn[]fcjFZaringOO^]MeJbn[]ZOslashKj H N H Qc[]OordmX[Ph H MeJ^eJUYZbnhdQRK H [Ph|uuml thorn UgraveUcircUacuteUuml yuml QcYyYQZaringQcfcNihNPO^WFJ H MeJUOOslashMNUPJNPfcf H MeJ(JkWKhZJUYZYZQc[]OY H [aumlbn[]ZOslashKj H J H MeJJUP[]fcj H QR[]OaeligJjN H QR[]OXiacutehZ[]Z H MeJg[PJUOJLhNPfOXiacute[PhlZIacutejfcNta macr]j^gtMQcYcopy[]QVUPJUY H MeJTJUP[]fcj H QR[]O JBjN H QR[]Osup1admacr s j^

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBΩ out

Objects

Γ

inΩ

inΩ

Background Part

-t not Upv copy ETHEgraveIcircAtildeampAacuteiacuteCcedil=AumlFcedilAtilde5ordm|sup1Aumldraquo~AElig9AumldOgravefrac14raquoUacutesup1Igravefrac14dordm|Atilde

Ω

Ω out (τ)Ω

(τ)in

N

Γ(τ)

Ω

N

v

w

N

-t not Upv ETHEgraveIcircAtildeyEcircAumldIgravefrac14dsup1raquo~AEliggfrac14raquoiEcircAacuteIcircAtilde$AcircnAtilde5AgraveAacuteAumlcedilAEliggsup1raquoUAcircnAumldfrac12AcircnAtildeEcircsup1raquoiexclAacuteIcirc~Atilde$EcircAtildecedilsup1Acirc|frac14ZAacutesup1Aumldraquo

uumlnyacutenthornnyumll13YSordmY_F2ordf

yenKbrvbarsect =4 acirc $ Smacr

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 Atilde|IumligraveAacuteAtildecedil4frac14ZAacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvyzU eacuteWsup1ordm|AringcedilAtilde5AEligfrac14iquest Eacuteiquest AgraveJ]iUumlAcircnAumldfrac12AringAacutesup1Auml|raquoOtildeAumlOgraveeAacuteIcirc~Atildeyfrac14dAgrave Aacutesup1Acirc|Atilde0AgraveAuml|raquoLAacuteAuml|AringcedilIgravefrac14raquoifrac14ordm|AtildeEcircUacuteEacuteLfrac34AacuteIcirc~AtildefTHORN$Uuml v qzqwsup1raquo~Agrave5frac12AringiEcircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquoifrac14frac12ampAacuteAtildecedilIgrave(AElig5IumlgeacuteWsup1ordm|AringcedilAtilde5AEligOtildeEcirc]iquest Atildediquest Ograve] g sup1AEligwAringifrac14frac12sup1Ocirc5frac14Aacutesup1Auml|raquo`AumldOgrave0AacuteIcirc~AtildeTAgrave5AumldcedilwcedilAtilde5AEligwOumlPAumldraquoiEcircsup1raquoordmAcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 OgraveuAring~raquoAgraveAacutesup1Auml|raquosup1raquo~Agrave5frac12Aring~Ecircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquo~frac14dfrac12ampAacuteAtildecedilIgrave(AEligraquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirc EacutePAtildeAacuteiacuteCcedil=Atilde5Atilde5raquo ugrave frac14draquoiEcirc divide JUiquestAEligwAring~Agrave4IcircTAacuteIcirc~frac14Aacute$AacuteIcircAtilderaquo~Atilde5ordm|frac14Aacutesup1AcircnAtildeAcircdfrac14dfrac12AringAtilde5AElig0frac14cedilAtildefrac12AumlCcedilEgraveAtildecedilyAacuteIcirc~frac14draquo uacutedivide Uacutefrac14raquoiEcircaumlAacuteIcirc~AtildeOumlPAumldAEligwsup1Aacutesup1AcircnAtilde(Aumldraquo~Atilde5AEligyfrac14ZcedilAtilde(Icirc~sup1ordm|IcircAtildecedilAacuteIcircifrac14raquo uacuteZdivide Iuml

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

Ecirc]Iumligraveraquo~sup1currenAacutesup1frac14dfrac12BAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 Atilde|IumligraveAacuteAtilde cedil4frac14Aacutesup1Auml|raquo ugravedugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not Upv ucirc eacuteWsup1ordmdAringcedilAtilde5AEligtimesfrac14iquest Eacuteiquest AgraveJ]ampUumlAcirc|Auml|frac12AringAacutesup1Auml|raquoAumlOgrave(AacuteIcirc~Atildearingfrac14AgraveAacutesup1AcircnAtildeOslashAgrave5Auml|raquoLAacuteAumldAringcedilIacuteIgravefrac14draquoifrac14ordm|AtildeEcirc`EacuteUfrac34AacuteIcircAtildeOcircfTHORN$Uumlv q w iquestiexclCcedilgsup1currenAacuteIcirc~AumldAringAacuteAacuteIcirc~Atildefrac14dEcirc~Ecircsup1Aacutesup1Aumldraquoifrac14dfrac12TAacuteAtildecedilIgrave(AElig5IumliexcleacuteWsup1ordm|AringcedilAtildeAElig Ecirc]iquest Atildediquest Ograve] g sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo AumlOgraveaeligAacuteIcirc~AtildeAgraveAumldcedilwcedilAtildeEumlAEligwOumlPAuml|raquo~Ecircsup1raquo~ordm AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 OgraveregAring~raquo~Agrave Aacutesup1AumldraquoeumlCcedilgsup1currenAacuteIcirc~Auml|AringAacuteIacuteAacuteIcircAtilde frac14|Ecirc~Ecircsup1currenAacutesup1Aumldraquoifrac14frac12FAacuteAtildecedilIgrave(AElig v raquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirceumlAEligwAring~Agrave4Icirc AacuteIcirc~frac14AacuteIgravefrac14icirc vOOtilde wpOumldivide z w Iuml

uumlnyacutenthornnyumll13YSordmY_F2

S $amp)(+-)013021+345627893lt=gt9A6CB

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIumligravesAacuteAtildecedil4frac14Aacutesup1Aumldraquogt ugrave|ugrave AgravedIumlieacuteWsup1raquoifrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12Acirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 AtildedIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIumlieacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvtimesLg sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo(AumldOgravePAacuteIcirc~AtildeAtildeAcircnAuml|frac12AringAacutesup1AumldraquoAumldOgravePAacuteIcircAtildeEgraveAgrave5Auml|raquoLAacuteAumldAringcedil-frac14draquo~EcircNtildeAacuteIcirc~AtildeEgraveAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 v Ccedilgsup1AacuteIcircAuml|AringAacuteAacuteIcircAtildeEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircFAacuteAtilde cedilIgrave w OgraveregAumldcedilEgraveAacuteIcircAtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoAumlOgraveAacuteIcircAtilde9Ograveufrac14dAgrave5AtildeAring~AEligwsup1raquo~ordmyAacuteIcirc~Atilde9Agrave5AumlZAcirc|frac14Zcedilsup1frac14draquo~AgraveAtildeIgravefrac14Aacutewcedilsup1currenicirc]Iuml

frac14Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcircnAtilde EacuteIumligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 v AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde w Agrave|Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacutefrac34 v Acircdfrac14cedilsup1frac14draquoAgrave5Atilde w-t not Upv h=AumldIgrave(Oumlifrac14cedilsup1AEligwAumldraquoOtildeAumldOgraveAacuteIcirc~Atilde$sup1raquo~sup1currenAacutesup1frac14dfrac12eAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34iexclAgrave5Auml|Igrave(OumlAringAacuteAtildeEcircAringAEligwsup1raquo~ordmAacuteIcirc~Atilde$AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde0Igravefrac14Aacutewcedilsup1currenicircv iordmdAringcedilAtildeFEacute w AacuteAumliexclAacuteIcircAtildeAuml|raquoAtildeFAgrave5AumldIgrave(Ouml~AringAacuteAtildeEcircTAringAEligwsup1raquo~ordmiexclAacuteIcircAtildeFAcircdfrac14cedilsup1frac14draquoAgrave5Atilde v ~ordm|AringcedilAtildeFAgrave w OgraveregcedilAumldIgrave AacuteIcirc~AtildeNtildeAEligfrac14dIgrave(Atildesup1raquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcirc|Atilde v iordmdAringcedilAtilde$frac14 w Iuml

uumlnyacutenthornnyumll13YSordmY_F2_a

yenKbrvbarsect =4 acirc $ ]z

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv Oslash| THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5AtildeccediliacuteAtildecedilsup1UgraveUegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_o

Si $amp)(+-)013021+345627893lt=gt9A6CB

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv ordf THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5Atildeccedilqfrac14dUgraveUsup1currenfrac34LAumldegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_y

RR-0114-SJEHANpdf
  • wwwi3sunicefr
    • httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf
Page 12: LABORATOIRE INFORMATIQUE, SIGNAUX ET SYSTEMES DE …mh/RR/2001/liste-2001.pdf · 2002. 6. 27. · [Dir01] DIRAT L. “Outils pour des Mathématiques Interactives et Distribuées”

$amp)(+-)013021+345627893lt=gt9A6CBDFEHGIKJLMONQPltRSJT2MgtI

b H QVUPJOslashbn[]O H []jhYOtildeNihZJaeligKEgrave[WFJLhYXiacutejf H [B[]fcY5Xiacute[PhUacuteQCZaringN[PJOslashNPO^UBQc^JL[YZJ[]ZOslashJUO H N H Qc[]OO^G QsObnJ H MeJ[PhQV[]QcONPf_WF[PhY` []O YZON`PJUYbacaumlNPYZYaJ H NPfd^VegfhSiSi]jeiexclNPO Jk H JUOYQVUPJhZJUYZJUNihbMMNPYaeligcent=JLJUO7KEgraveJLhYXiacute[PhlZOslashJU^ H MN H fRJUNP^Y H [B^Nm H [ H MJjYJ[SXon5hJ[]QR[]OWVcentNPYZJU^NPb H QVUPJTbn[]O H []jehYYp^q hQV[]QcONPfsfVmSeNPb H QVUPJ bn[]O H []jehdYWFJLhZJ centEgrave[]jO^NihYmVcentNPYJU^bZOslashJ H Me[W^Yoaq jecentEgraveJLh HNPO^rcOtilde[PhdOeKhZ[PcentY H e sSs fj^ G ON`PJUYtacaumlNPYZYaeligJ H NPfd^VeufhSiSi]jeycent-NPfcfR[B[]OYoa)v[]MeJUOOefhShfj[Phw[PJL[W^eJUYZQcbNPb H QVUPJbn[]O H []jehdYxa)vNPYZJUfcfRJUY J H NPfd^VeyfhSh]zSj`NihZJOacute^hQVUPJUOH [WFNih^Y H MeJ JU^[PJUY [SXOtildeNPOQZaringN[PJS^|MeJ JUP[]fcj H QR[]OJjN H Qc[]O QcYOslashbn[]ZOslashK-j H JU^XiacutehZ[]ZNaumlbnhQ H JLhQR[]O H MN H []OfVmtimesQsObLfcj^eJUYNaumlfR[WbLNPfQcOFX[PhlZ N H QR[]Otimes[]O H MeJ(centEgrave[]jO^NihYm[SX H MeJauml[Pcent~JUb HH [ YZJ[]ZOslashJUO H ^MeJt`PJmQc^eJUNOacute[SXOtildehZJ[]QR[]OWVcent-NPYJU^ NPb H QVUPJeumlbn[]O H []jehYehY H fVmKh[PK=[]YZJU^ centma)vF[]MJUOTJ H NPfd^VefhShS[]OXqNih^OefhShje]QsY H [OtildeQcO H hZ[B^jbnJ0N_[]fR[PcentNPfBQcOXiacute[PhlZaringN H QR[]O[]O H MeJIacute^QV=JLhZJUO H hZJ[]Qc[]OY H [ YJ[]ZOslashJUO H QcOaNP^^Q H QR[]O H [ H MeJIacutecent=[]jO^NihYmVcentNPYJU^QcOFX[PhlZ N H QR[]OOe H [_ZaringN`PJ H MeJNtildeNPb H QUPJNtildebn[]O H []jehJUP[]fUPJS^iexcl[WFJUPJLhePQ H QcYgO[ H9H hQVUWQcNPfH [timesbn[]ZOslashKj H J H MeJJUP[]fcj H QR[]OaringJBjN H QR[]O [SX H MeJiexclNPb H QVUPJUacutebn[]O H []jeh H MN H WQcfsfZaringN`PJQ H JUP[]fUPJ H [WFNih^Y0NyZ QcOQZtimesjFZ[SXNTbnhQ H JLhdQR[]OOslashQcObLfcj^QcO[centEgrave[ H MOslashhZJ[]QR[]OWVcent-NPYJU^NPO^centEgrave[]jO^NihYmVcentNPYJU^ H JLhlZaringY^JUbnJUO H fmSeZaringNPOm KNiKEgraveJLhY MNUPJeumlNP^^ehZJUYYJU^ H MQsYOslashKhZ[PcentfcJZ^0 hZJUWQRJW [SXH MeJUYZJrZaringJ H Me[B^Y QsY`KhZ[PKEgrave[]YJU^1QcO G JUb^ ^ G []ZOslashJ[SX H MeJUYZJxWF[PhY`WY^e[ Oe[ Hbn[]ZOslashK-j H J H MeJ H MeJL[PhZJ H QcbLNPfJkWKhZJUYZYZQc[]O[SX H MeJUPJUfR[BbLQ H mUPJUb H [PhOtilde[SX H MeJtimesNPb H QVUPJbn[]O H []jehcentj H H MeJm bdMe[[]YZJ H MeJ ^QcYKfcNPbnJZaringJUO H H MN H WQcfcf_ZaringN`PJ H MeJbnhQ H JnVhQc[]O ^JUbnhZJUNPYJa)vMN`hNicentEgrave[Ph H m J H NPf)^VefhShSvMeJUYONPj^ J H NPfd^VefhShSh]j^ qH MeJLhWF[PhY`WYKh[PK=[]YZJ H MeJIacutebn[]ZaringKj H N H QR[]O`[SX H MeJUPJUfR[BbLQ H mUPJUb H [PhOtildecentm hZJU^jbLQcOF[ H MeJWM[]fRJOacuteKh[PcentfRJZ H [ centEgrave[]jO^NihYm QcO H J[PhdNPfcYxa)MjNPO^0jQcfcfcJSeyfhShSgampNihN~V[]QR[]Y`NPO^JLhQsbMeJSefhShSh]j[Ph`centm jYQcO[ H MeJ7fRJUPJUfTYJ H ZOslashJ H Me[W^a G NSZ Y[]OJ H NPf)^Ve sSsSs Ov(MNPONPO^$JUYZJSe sSs fj^OMeJm H MeJUOjYZJ H MeJyNtildejfRJLhVAN[PhNPO[PJJBjN H QR[]OY H [ bn[]ZOslashKj H J H MJaumlJUP[]fcj H QR[]OJjN H Qc[]OO^iexcl[WFJUPJLhe H MeJOtildeQcOXiacute[PhlZaringN H QR[]O []O H MeJauml^Q=JLhJUO H hZJ[]QR[]OYe H MN H WNtildeJaumlbLNPfsfMeJLhZJn^eJUYbnhQRK H [Phlp [SX H MeJIacutebn[PhhZJUYKEgrave[]O^QcOF[aringhZJ[]QR[]OOeKZaringNmacent=Jy[]fR[PcentNPfcfVm N HH NPbdMeJU^ H [H MeJ(hJ[]QR[]OO^S5O^eJLJU^OslashQ H [WbLbLjehYXiacute[Ph0Y H N H QcY H QcbLNPf^eJUYZbnhdQRK H [PhYampYZjbdMaringNPY H MeJ_ZOslashJUNPOOeH MeJUiNihQcNPObnJ[Ph H MJMQcY H [S[PhNSZ [SX H MeJ hZJ[]QR[]O^Q5O bLNPYJ [SXUacutejOYZjK=JLhlUBQcYZJU^YJ[]ZaringJUO H N H QR[]Oe H MeJUYZJ ^eJUYZbnhdQRK H [PhYIacuteNihZJ hZJnVJUiNPfcjN H JU^JUNPbM H QZaringJ H MeJ NPb H QVUPJbn[]O H []jehJUP[]fVUPJUYiexclNPO^aY[ H MeJmU~Nihlm^jehQcO[ H MeJIacuteKhZ[PKN[]N H Qc[]O[SX H MeJtimesNPb H QVUPJbn[]O H []jeh^yhZJUWQR[]jYWF[PhY`BYIacute[]O7hZJ[]QR[]OWVcent-NPYJU^NPb H QUPJbn[]O H []jehYaelig^e[eumlOe[ HIacuteH N`PJQcO H [ NPbLbn[]jO HaumlH MQcYKEgrave[]YZYZQRcent-fRJyUiNihQcN H QR[]Oeuml[SX H MeJaring^eJUYbnhQRK H [PhY H [bn[]ZOslashK-j H J H MeJJUP[]fcj H QR[]OJjN H QR[]O[SX H MeJTNPb H QVUPJIacutebn[]O H []jeh^ JTKhZ[PKEgrave[]YJaumlMeJLhZJaumlN[PJUOeJLhNPfNtildejfRJLhQcNPOoXiacutehNSZOslashJWF[PhY`X[PhhZJ[]QR[]OWVcentNPYZJU^NPb|V

H QVUPJbn[]O H []jehY`ONSZOslashJU^ iexcl_0 Uacute_wcent G aiexclJXiacute[PhlZaringNicent-fRJpoundJ[]QR[]OYa^ehQUPJUO centm NPONtildejfRJLhQcNPO iexclbLbLjhN H JT_aQsOQZaringQVcurrenUN H Qc[]O _aJ H Me[W^X[Ph G J[]ZOslashJUO H N H QR[]Ogtj^gtMeJiexclZaringNPQcObn[]O H hQRcentj H QR[]O[SXy[]jh_WF[PhY`aQcY H [centjQcfs^ N H MJL[PhZJ H QcbLNPfQXhdNSZOslashJWNtilde[Phl`centNPYJU^`[]O

uumlnyacute|thornLyuml13

yenKbrvbarsect =4 acirc $ YZMNiK=JT[PK H QZaringQVcurrenUN H Qc[]OKhQsObLQRKfRJUY^ Q H M YZjbM`NPO`NiKKhZ[]NPbMegtWFJIacutebLNPO hZJUNP^QsfVmH N`PJ7QcO H [ NPbLbn[]jO H`H MeJpoundUiNihQcN H QR[]O [SX H MJOacute^eJUYZbnhQcK H [PhY H MN H NihJpound[]fR[PcentNPfcfmN HH NPbdMeJU^ H [ H MeJUacuteJUP[]fVUWQcO[timeshZJ[]QR[]OYgaqbLNPfsfRJU^ hZJ[]QR[]OWV4^eJLKEgraveJUO^JUO H ^eJUYZbnhQcK H [PhYj^ JOtildeYZMe[W H MN HH MeJiexclU~NihQsN H QR[]O [SX9hZJ[]QR[]OWV4^eJLKEgraveJUO^JUO H ^eJUYZbnhQcK H [PhYF^jehQcOF[ H MeJJUP[]fcj H QR[]OOtilde[SX H MeJ0NPb H QUPJFbn[]O H []jehampQcO^jbnJUY9NP^^Q H QR[]ONPf H JLhlZaringY9QsO H MeJyJUP[]fcj H QR[]OJBjN H QR[]Oeuml[SX H MeJOslashNPb H QVUPJ bn[]O H []jeh^MeJUYZJaeligNP^^Q H QR[]ONPf H JLhlZaringYOtildeMNUPJaringOe[ H centEgraveJLJUOKhJUBQR[]jYZfVm bn[]ZOslashK-j H JU^uml^

G []ZOslashJNtildeJkeNSZOslashKfcJUY[SX-jOYZjeKEgraveJLhYUWQcYJU^TYKN H QcNPfBYJ[]ZOslashJUO H N H QR[]OOePjYZQsO[ H MeJcopyUiNihQuVNPObnJ [SX H MJOslashhZJ[]QR[]OYe9KhZ[UPJ H MeJ QZOslashKEgrave[Ph H NPObnJOslash[SX H MeJ NP^^Q H QR[]ONPf H JLhlZaringYordfXiacute[PhH MeJ(NPbLbLjehdNPbmIacute[SX=YJ[]ZOslashJUO H N H QR[]OOslashhZJUYZjf H Y^MeJNP^^Q H QR[]ONPf H JLhlZ YZIacutejY H O[ H centEgraveJXiacute[PhY[P[ HH JUO QcO [Ph^eJLh H [laquo[PJ HH MeJ_XqNPY H JUY H NPb H QUPJUacutebn[]O H []jeh(JUP[]fcj H QR[]O H [WNih^Y(NZaringQsOQZtimesjFZoslash[SX H MeJaumlbnhdQ H JLhQR[]OO^not QcONPfcfVmSe H MeJbn[UiNihQcNPObnJbZ N H hQk ^eJ H JLhZaringQcONPO H NiKKEgraveJUNihY H [ cent=JNrUPJLhYmhZJUfcJU~NPO HH [B[]fOX[PhMe[]ZOslash[S[PJUOeJL[]jYbn[]fR[PhiexclhZJ[]QR[]OYYZJ[]ZOslashJUO H N H Qc[]OO^gtMQcY H [[]fQcYYZjbLbnJUYZYXqjfcfVm NiKKfcQRJU^ H [XqNPbnJIacute^eJ H JUb H Qc[]O []OhZJUNPfUBQc^JL[aringYJjJUObnJUY^MeJa^eJ H NPQcfcJU^ [UPJLhYUBQcJW []O hZJ[]QR[]OeVcentNPYJU^ NiKKhZ[]NPbMJUY QsYaringKhZ[PKEgrave[]YJU^ QcOG JUb^ eshyWMQcfRJOslash[]jeh0jfRJLhdQcNPOumlXiacutehNSZOslashJWF[PhY`uml5_0 Uacute_ cent G QcYauml^JUYZbnhQRcentEgraveJU^QcO G JUb^^MQcY|XhdNSZOslashJWNtilde[Phl` QcY H MeJUONiKKfcQRJU^ H [ H MJjOYZjeKEgraveJLhYUWQcYJU^aringYJ[]ZaringJUO H N H QR[]O[SXMe[]Zaring[S[PJUOeJL[]jYIacutehZJ[]QR[]OYIacutejYZQcO[ H MJregUiNihQcNPObnJ QsO G JUb^lt`NPO^ H MeJ bn[U~NihQsNPObnJZaringN H hdQk ^eJ H JLhZaringQcONPO H QcO G JUb^gtmacr^

degEplusmnyLMgtsup2Qsup32acutemicromiddotparaJcedilJacutemicrosup1acuteIKJordmcedilIltN paraJcedilJacutewMraquo Jfrac14ltacutefrac34frac12oLJMgtIiquest acuteAgravegtT2MgtIAacutelAcirclaquocedilFAtildeacuteNAumlfrac12R]JT13Aringgtacutesup1AEligMgtIKJMgtPltLAtildeJUbnJUO H fVmSeZaringNPOmNPj H Me[PhdYtimesMNUPJKhZ[PKEgrave[]YJU^NwWNm[SXNP^^QcOF[hZJ[]QR[]OWVcent-NPYJU^H JLhlZ YQcO H MJTJUP[]fcj H Qc[]O JjN H QR[]Ow[P[UPJLhOQcOF[ NPb H QVUPJtimesbn[]O H []jehdY Xiacute[PhiexclYJ[]ZaringJUOWVH N H QR[]O QsYZYZjeJUY^QMeJ KhZ[PcentfcJZ Y H N H JZaringJUO H QsYhY H KhZJUYJUO H JU^NPO^ H MeJUO H MeJY H N H JnV[SXV H MeJnV4Nih H QcY^J H NPQcfRJU^O^ ^f^bCcedil_EgraveKEacuteltEcircgtEumlIgraveFIacuteIumlIcircETHOgraveNtildeFETHIgraveFIacute5IgraveFOacuteETHiexclJLhZJSeOcircWFJa^eJUYZbnhdQRcentEgraveJ H MJ JjN H Qc[]OYaringNP^^ehJUYZYZQcO[ H MeJ`QcYZYZjeJ[SX H MeJYJ[]ZaringJUOWVH N H QR[]O[SX NPOQCZaringN[PJxOtilde QsO H WNtilde[ hZJ[]Qc[]OY^iexclgJ H jYeuml^eJOeJrOumlcopytimesOslash H MeJhJ[]QR[]Obn[]O H NPQcOQcOF[ H MeJ[Pcent~5JUb H Y H [YZJ[]ZOslashJUO H NPO^ OumluUgraveUcircUacuteUuml H MeJeumlcentNPbY`[PhZ[]jO^ hJ[]QR[]OO^MJUQRhFbn[]ZregZOslash[]O centEgrave[]jO^NihlmaringQcY(Oe[ H JU^YacuteOcirc^F9J H jY(bn[]OYZQc^JLhNPOaNPb H QVUPJaumlbn[]O H []jhYacuteadTHORN]szligYagravejaacuteacirca2atildeadTHORN]szligYagravejszligaumlOadTHORNOgraveszligYagravejje]WMeJLhZJuTHORNuZaringNmTcentEgraveJ H MeJ(NihbNtildefcJUO[ H Mtimes[SX H MeJbn[]O H []jhNPO^umlagraveQsYOtildeNPOJUP[]fcj H QR[]OeumlK-NihNSZOslashJ H JLh^shyMeJOslashNPb H QVUPJ bn[]O H []jehIacuteNiKKhZ[]NPbMpoundZ N`PJUYYacuteadTHORN]szligYagravejJUP[]fVUPJ H MehZ[]j[]M H MeJ|Xiacute[]fcfR[WQcO[K-Nih H QcNPf^Q=JLhJUO H QcNPf]JjN H Qc[]Ooa5copyjaringaelig YacuteadTHORNOgraveszligYagravejaelig agrave aacuteegraveccedilyeacuteecircaacuteegraveeuml WQ H MigraveYacuteaagraveregaacute s j|aacuteegraveYacuteshyiacute afjWMJLhZJfrac34YacuteltiacuteaQcY NPO QsOQ H QcNPfbLjhYUPJ ^JOeJU^centm H MeJeumljYJLhNPO^egraveeacute H MeJ QsOOgraveWNih^Oe[PhZaringNPfUPJUb H [PhOtilde[SX|YacuteadTHORN]szligYagravej^MeJUPJUfR[WbLQ H mfrac34ccedil QcY^eJLhQUPJU^wXiacutehZ[]Z NZaringQsOQZaringQVcurrenUQsO[

uumlnyacute|thornLyuml13 2

$amp)(+-)013021+345627893lt=gt9A6CBbnhQ H JLhQR[]O NPO^ QsY bdMe[]YJUO Y[ H MN H H MeJ YZ[]fcj H QR[]OicircYacuteaUcirciumlVszligYagravej bn[]OUPJLhY[PJUY H [ H MeJ[Pcent~JUb H centEgrave[]jO^NihYmSeYacuteaUcirciumlethjeNPY_agraveregntildeoacuteograveicirc^5ObLfcNPYYZQcbLNPfcentEgrave[]jO^NihYmVcent-NPYJU^ZOslashJ H Me[W^Ya)v(NPYJUfcfRJUY(J H NPfd^VeshyfhSh]zg_`NPfcfcNP^QJ H NPfd^VelaquofhShSmacr]je H MeJsup1UPJUfc[BbLQ H m XqjOb H QR[]OHccedil QsY`^eJLhdQVUPJU^XiacutehZ[]ZCNPOJUOeJLhY[Smacircocirc^eJLKEgraveJUO^QcO[T[]O H MeJOtildecentEgrave[]jO^NihlmYacuteOcircaring

ocircOgraveotilde UgraveUacute OslashoumlYdivideloslashugrave aYacuteQj|aacute uacuteucircyacuteuumlgtthorn otilde)yuml THORN a jWMJLhZJ_uuml thorn otilde)yuml QcYNtildeNyXqjOb H Qc[]O ^eJUYZbnhdQRcentQcO[ H MeJiexclcentEgrave[]jO^NihYmtimes[SX H MeJiexcl[Pcent~JUb H ^vNPYZJUfcfRJUYJ H NPf_a)vNPYJUfsfRJUYaumlJ H NPfd^VefhSh]zSjIacutebM[[]YJ H MeJregXqjOb H Qc[]Obuuml thorn otilde)yuml aacuteKa ordmOtilde jyWMeJLhZJtaring s szliggograve8ntilde Otilde 13 QcYiexclN Y H hdQcb H fVm ^eJUbnhZJUNPYZQsO[XqjOb H Qc[]OaY[ H MN H a]juntilde s NPYgntildeoacuteograveicirc^SMeJFbn[]ZOslashKj H N H Qc[]OIacute[SX H MeJUPJUfc[BbLQ H mccedilicircXiacutehZ[]Z H MJFbnhQ H JLhQR[]Oa j9QsYOe[WWFJUfcfO`WOe[WiexclOsup1a)vNPYJUfsfRJUYJ H NPfd^VeltfhSh]zSjiexclNPO^`fRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[OslashJUP[]fcj H QR[]OJBjN H QR[]OOaring aelig Yacuteaelig agrave aacuteFuuml thorn otilde)yuml uuml thorn otilde)yuml eacute13eacute ad]jWMJLhZJ QcY H MeJaumlbLjehYUiN H jehZJOtilde[SXYacuteaagravej^iexcl[WFJUPJLhecent=[ H MaringhZJ[]QR[]OYOcircOumlcopytimesOslashtimesNPO^Ouml UgraveUcircUacuteUuml ZaringNmtimesMNUPJiexcl^QV=JLhZJUO H KhZ[PKEgraveJLh H QRJUYamp[SXH Jk H jehZJSeiMe[]ZOslash[S[PJUOeJUQ H mtimes[PhZaring[ H QR[]O H MN H bLNPOOe[ H cent=JQcObLfsj^eJU^aumlQcO H MeJXiacutejOb H QR[]Ouuml thorn otilde)yuml ^ G [ H MeJoZaringNPQcOOacuteKjehZKEgrave[]YJaring[SX(hJ[]QR[]OWVcentNPYJU^7NiKKh[]NPbMeJUYaeligQcY H [ QcO H hZ[W^jbnJYZjbM Nx[]fR[PcentNPfUacuteQcOXiacute[PhlZaringN H QR[]O QcO H MeJ UPJUfR[WbLQ H m XiacutejOb H QR[]Oicircccedil QcO NP^^Q H QR[]O H [H MeJeumlfR[WbLNPfiexclQsOX[PhZaringN H QR[]OKhZ[UWQc^eJU^ centm cent=[]jO^NihYmVcentNPYJU^ H JLhlZaringY^copyMeJZaringNPQcOBjeJUY H QR[]OeiQsOIacute[Phd^eJLh H [~jY H QVX2m H MeJQcO H hZ[W^jb H QR[]OIacute[SX H MJUYJ(hZJ[]QR[]O H JLhlZ Ye]QcY H [^eJLhdQVUPJ H MeJuUPJUfR[WbLQ H mlaquoXqjOb H QR[]OlaquoXiacutehZ[]ZNPOOslashJUOeJLhl[SmS^Ograve9[IacuteYJ H Nordf[PJUOeJLhNPfFXhNSZaringJWNtilde[PhY`NPO^ H [Oslashbn[]ZOslashKNihZJ H MeJUacute^QEgraveJLhZJUO H NiKKhZ[]NPbMeJUYFKh[PK=[]YZJU^ QcO H MeJUacutefcQ H JLhN H jhZJSeWFJOe[W QcO H hZ[W^jbnJ Nw[PJUOeJLhNPfNtildebnhQ H JLhQR[]ObXh[]ZigraveWMQsbM H MeJUPJUfR[WbLQ H mpoundZaringN[]OQ H j^eJZaringNmcent=JOtilde^eJLhdQVUPJU^Oaring

ocircOcircadOumlutimes OslashgtszliglOuml UgraveUcircUacuteUuml szligYYacuteQjbaacute uumlgtthorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszliglOuml UgraveUcircUacuteUuml j atilde auml $ uumlgtthorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashFj atilde aumlamp uacuteucirc uumlgtthorn otilde)yuml a2atildeltszligaumlj THORN a2jWMJLhZJyuuml thorn UgraveUcircUacuteUuml yuml QcYONSZaringJU^ H MeJwn^JUYZbnhQRK H [PhpOslash[SX H MeJaumlcentNPbl`[PhZ[]jO^ hZJ[]QR[]Oegtuuml thorn timesOslash yumlH MeJsup1n^eJUYZbnhQRK H [Phlp[SX H MeJaring[Pcent~JUb H hZJ[]Qc[]ONPO^buuml thorn otilde)yuml H MeJsup1n^eJUYZbnhQRK H [Phlp [SX H MeJbn[]O H []jeh^MJOslashhZJ[]QR[]O^eJUYZbnhdQRK H [PhYordfZaringNm`centEgraveJlaquo[]fR[PcentNPfsfVm`N HH NPbdMeJU^ H [ H MJUQRhOtildehZJnVYKEgraveJUb H QVUPJOslashhJ[]QR[]OYeOumlcopytimesOslasha[PhOuml UgraveUcircUacuteUuml e9NPO^Y[^eJLKEgraveJUO^euml[]O H MeJZ aqQVXFY[e H MeJmNihZJbLNPfcfcJU^pihJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhYYpOgravej^ H MNiKK=JUOYshyWMJUOtimesY H N H QcY H QcbLNPfXiacuteJUN~VH jehJUYg[SXNhJ[]QR[]OTfcQ`PJSeXiacute[Ph9JkeNSZOslashKfRJSe H MeJZOslashJUNPOIacute[Ph H MJ|UiNihQcNPObnJSe~NihZJNtildeYJUfcJUb H JU^NPY(hJ[]QR[]O^eJUYZbnhdQRK H [PhY^MeJ`K-jehZKEgrave[]YJ [SXIacuteNPfcfhZJ[]QR[]OeVcentNPYJU^ NPb H QVUPJOacutebn[]O H []jehYwZOslashJ H Me[W^YQcY H MeJUOH [poundZaringN`PJ H MeJaNPb H QVUPJabn[]O H []jeh JUP[]fVUPJ H [WNih^Y NeumlKNih H Q H Qc[]O[SX H MeJ`QZaringN[PJSeadOumluUgraveUcircUacuteUumlszliglOuml timesOslash szligYYacuteQje H MN H ZaringQcOQZ QVcurrenLJUY H MeJTbnhQ H JLhdQR[]Opounda2j^

uumlnyacute|thornLyuml13 (

yenKbrvbarsect =4 acirc $ macr ^ ^)+ltIgraveFEgrave-+13IgraveigraveEacute10Igrave22IcircETH313Oacute4 EgraveOIgrave54EacuteshyOacute76EcircgtNtildeltIcircIgrave8 Iacute_IgraveETH39ltEacute8QIcircshyIcirclt2Oacute4Ntilde=KETH3gt+ltIgrave=EacuteshyOacuteshyETHEacute1EgraveIcirc MQcfRJiexclNPONPfVmWYZQcO[aumlhJ[]QR[]OWVcentNPYJU^ NPb H QVUPJUacutebn[]O H []jhYNiKKhZ[]NPbdMeJUYeWNtildeJ5ZaringNm bn[]OWVYZQs^eJLh H MehZJLJyZaringNPQsO QZOslashKEgrave[Ph H NPO H K=[]QsO H Yaring MN H NihJ H MeJT^QV=JLhZJUO H ^eJUYZbnhdQRK H [PhY(jYZJU^BA iexcl[WQcY^eJLhdQVUPJU^ H MeJaumlJUP[]fcj H QR[]O JBjN H QR[]OXiacutehZ[]Z H MeJaumlbnhdQ H JLhQR[]OCA iexcl[WQcYQZaringKfRJZOslashJUO H JU^ H MeJaumlNPb H QVUPJtimesbn[]O H []jehANtildeQR[]OeJLJLhcopyWF[PhY`BY(MNUPJaumlcentEgraveJLJUO KhZ[PKEgrave[]YJU^ centma)vF[]MeJUOJ H NPfd^VefhShSgt[]OXqNih^OefhShj^5ONPOJUNihdfVmpoundWF[PhY`gte|vF[]MJUOJ H NPfd^ua)vF[]MeJUO7J H NPfd^VeufhShS]jIacuteKhZJUYZJUO H NYZjhYXiacuteNPbnJ$hJUbn[]OY H hjb H Qc[]OgZOslashJ H Me[W^TjYQcO[hZJ[]QR[]OWVcent-NPYJU^aumlNPb H QVUPJFbn[]O H []jehdY^MJmbn[]ZOslashK-j H J H MeJUPJUfR[WbLQ H mpoundUPJUb H [Phaelig[SXNPO7NPb H QVUPJ bn[]O H []jhXiacutehZ[]Z H MeJZaringQsOQZaringQVcurrenUN~VH QR[]O[SXampNOslashbnhQ H JLhdQR[]OQcObLfcj^QcO[aumlhZJ[]Qc[]OWVcentNPYJU^ H JLhZaringY^ Oe[ H MeJLh(KQR[]OJLJLhuWNtilde[PhY`MNPYaumlcent=JLJUOK=JLhlX[PhlZaringJU^QcO a[]OXqNih^OeOcircfhShj^iexclJ NPYZYJUYZYZJUY H MN HTH MeJUPJUfR[WbLQ H mXqjOb H QR[]O YZMe[]jfc^aringcent=JKhZ[PKEgrave[Ph H QR[]ONPf H [ H MeJUacute^QEgraveJLhZJUObnJ[SXgY H N H QcY H QcbLNPfXJUN H jehJUYaringccedilaacute uuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml eOgraveWMJLhZJ_uuml thorn timesOslash yuml QsY0NaumlY H N H QsY H QcbLNPfKZOslash[B^JUfe[SX H MeJ[Pcent~JUb H hJ[]QR[]ONPO^tuuml thorn UgraveUcircUacuteUuml yuml N Y H N H QcY H QcbLNPfshyZOslash[B^JUfEgrave[SX H MJaumlcentNPbY`[PhZ[]jO^ hZJ[]QR[]OO^

G []ZOslashJaumlNiKKhZ[]NPbdMeJUY(Kh[PK=[]YZJ H [ bn[]ZOslashKj H J H MeJOtildeJUP[]fsj H QR[]OJBjN H QR[]O [SX H MeJNPb H QVUPJtimesbn[]O H []jhUacutejYZQcO[ H MeJ hZJLJUOWVAiexclQRJZaringNPOO H MeJL[PhZJZ NPO^wNtildejfRJLhVAN[PhNPO[PJJBjN H QR[]OY^OEgraveMBjeumlNPO^frac340jQcfcfcJoa)EgraveMBjNPO^frac340jQcfcfcJSeltfhShS]jKhJUYJUO H NY H N H QcY H QcbLNPfXiacutehNSZOslashJWF[PhY`poundXiacute[PhOslashQZaringN[PJYJ[]ZOslashJUO H N H QR[]OjYZQsO[aNPONPfV[P[PhQ H MZbLNPfsfRJU^n5hJ[]QR[]Obn[]ZOslashKEgraveJ H Q H Qc[]OFp^MeJm^eJLhQVUPJ H MeJeumlNPb H QVUPJbn[]O H []jehJUP[]fcj H QR[]O JBjN H QR[]O centmZaringQsOQZaringQVcurrenUQsO[aringNo[PJUOeJLhNPfcQVcurrenLJU^XNmPJUYDi_wiexcl bnhQ H JLhdQR[]O`QsOYKQRhJU^centm H MeJaring_`jFZaeligVXiacute[Ph^OacuteNPO^ G MNPMJUOeJLhY[Smicircaw_ajFZX[Ph^7NPO^ G MNPMOefhSiSh]j^OcircMeJmKhZ[PKEgrave[]YJ H MeJXiacute[]fcfR[WQcO[aelig^eJUYZbnhQcK H [PhYcopyXiacute[Ph H MeJaumlYJ[]ZaringJUO H N H QR[]O`[SXampY H QcfcfQZ N[PJUYaringEFG FH uuml thorn UgraveUcircUacuteUuml yuml aacute JILK NMregaOtildeKa2atildeshyszligaumlFjPORQ UgraveUcircUacuteUuml juuml thorn timesOslash yuml aacute JILK NMregaOtildeKa2atildeshyszligaumlFjPORQtimesOslashjuuml thorn otilde)yuml aacuteTS admacr]jWMJLhZJUMrega)j9QcY9NiexclKhZ[Pcent-NicentQcfcQ H m^JUOYZQ H m5XqjOb H Qc[]OOeQshytimesNihZJ H MJNtildeKNihdNSZOslashJ H JLhY[SX H MeJ^QsY H hQRcentj H QR[]OX[Ph H MeJaelighZJ[]Qc[]OBVNPO^CSQcYUacuteN KEgrave[]YZQ H QUPJIacutebn[]OY H NPO H ^ not [PhaumlQcfsfcjY H hN~VH QR[]OYe H MeJNPj H Me[PhdYybn[]OYZQc^JLh NPjYZYZQsNPOOslash^QcY H hQccentj H QR[]OYbMNihdNPb H JLhQVcurrenLJU^ centm H WF[KNihdNSZOslashJ H JLhYe H MeJZaringJUNPOIacuteNPO^ H MeJ|UiNihQcNPObnJS^ q ObnJ H MeJWQtimeskWJU^Oe H MeJ0JUP[]fcj H QR[]OJBjN H QR[]O[SXNPONPb H QVUPJ bn[]O H []jhaeligQsYIacutebn[]ZOslashK-j H JU^NPO^^QchZJUb H fVm^eJLhQUPJU^poundXiacutehZ[]ZH MeJbnhdQ H JLhQR[]OO^SMJbLfcNPYZYZQcbLNPfe^JLhQVUiN H QVUPJ([SX H MJ(cent=[]jO^NihYmVcentNPYJU^ H JLhlZ fRJUNP^YH [ H MeJtNtildejbLfcQc^QcNPOpound[PJL[]ZOslashJ H hdQcbMeJUN HYX [Wg^OcircMeJ ^eJLhdQVU~N H QUPJ [SXiexclhZJ[]QR[]OWVcent-NPYJU^H JLhlZ Y QcY H MJUOKEgraveJLhYXiacute[PhlZOslashJU^jYQcO[ H MeJ hZJLJUOWVAQcJZaringNPOO H MeJL[PhJZ NPO^ H MeJNtildejfRJLhVAN[PhNPO[PJaJBjN H QR[]OY^5O^eJLJU^e H MeJeumlbn[]ZOslashKj H N H Qc[]O [SX H MeJaJUP[]fcj H QR[]OJBjN H QR[]OQsYK=JLhlX[PhlZaringJU^ QcO H MehZJLJyZ NPQcO Y H JLKYaringf^Q9hNPOYX[PhZaringN H QR[]Oeuml[SX^e[]ZaringNPQcOQcO H J[PhNPfcYTQcO H [ centEgrave[]jO^NihYmaQcO H J[PhNPfcYTjYZQcO[

H MeJ hZJLJUOeVAQRJZaringNPOO H MeJL[PhZJZ^

uumlnyacute|thornLyuml13

$amp)(+-)013021+345627893lt=gt9A6CB ^vF[]ZOslashKj H N H Qc[]O [SX H MJy0jfcJLhVA9N[PhNPOF[PJOtildeJjN H Qc[]OY^ltO H hZ[W^jb H QR[]O[SXiexclNeuml^mWONSZaringQcbLNPfFYZbdMeJZOslashJ QcO H MeJ0jfRJLhZVA9N[PhNPO[PJ JBjN~V

H QR[]OYQcO [Ph^eJLh H [aeligbn[]ZaringKj H J H MeJ5UPJUfR[BbLQ H mregUPJUb H [Ph[SX H MeJOtildeNPb H QVUPJOtildebn[]O H []jh^MJ UPJUfR[WbLQ H mXiacutejOb H QR[]OoccedilQsY H MJUO bn[]ZaringKj H JU^NPO^Q H fcJUNP^Y H [ H MJ5Xiacute[]fcfR[WQcO[JUP[]fcj H QR[]OJjN H QR[]OOaring aelig Yacuteaelig agrave aacuteacircaduuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml S jeacute ad]jWMJLhZJ QsY H MeJ bLjehlU~N H jehJaring[SXuYacuteaagravej^5O[Ph^eJLh H [aQZOslashK-fRJZOslashJUO HOtildeH MQcYordf|iexcl eNN[PhNPO[]QcNPOXiacute[PhlZtimesjfcN H QR[]O QsY(jYJU^O^JUbnJUO H fmSeampNihN[]Qc[]YNPO^frac34JLhQcbdMeJaNihdN[]QR[]YOtildeNPO^iexclJLhdQcbMeJSefhShSh]jegMNUPJKh[PK=[]YZJU^ NPOJk H JUOYZQc[]O[SX H MeJordfWF[PhY` [SXOcircEgraveMBjNPO^o0jQcfcfcJcentm QZOslashKhZ[UWQcO[ H MeJ^eJUYbnhQRK H [Phaelig[SX H MJbn[]O H []jeh QcO7[Ph^eJLh H [QcObn[PhK=[PhdN H J H MJQCZaringN[PJ[PhNP^QRJUO HNPYiexclQcO[PJL[W^eJUYZQcbIacuteNPb H QVUPJtimesbn[]O H []jehY^gtMeJTJUP[]fcj H QR[]OaJjN H Qc[]OaQcYiexclQZOslashKfRJZaringJUO H JU^jYQcO[ H MeJ(fRJUPJUfBYJ H ZOslashJ H Me[W^aeligQcO H hZ[B^jbnJU^aumlcentm q YZMJLhNPO^ G J H MQcNPOoa q YZMeJLh$NPO^G J H MQcNPOOeltfhSiSi_aNPfcfsNP^Q9J H NPfd^VefhShSmacr G J H MQcNPOOeltfhShS]j^ UPJLhYm QcO H JLhJUY H QcO[KNih H [SX H MQsYyWF[PhY`Oacutebn[]ObnJLhdOY H MeJ QsO H hZ[W^jb H Qc[]O[SXY[]ZOslashJ^eJUYZbnhdQRK H [PhYlaquouuml thorn timesOslash yumlNPO^uuml thorn UgraveUcircUacuteUuml yuml X[PhNiKKfcQsbLN H QR[]OYfcQV`PJ H Jk H jehZJFYJ[]ZOslashJUO H N H QR[]OtimesNPO^gZOslash[UBQcOF[[Pcent~JUb H Y^eJ H JUb H Qc[]OO^

G []ZOslashJT[ H MeJLhUacuteNiKKh[]NPbMeJUYlaquoa)vMN`BhNicentEgrave[Ph H mJ H NPfd^VeltfhShSvMeJUYONPj^ J H NPfd^VefhShSh]j9KhZ[PKEgrave[]YJ H [OtildebMe[B[]YJ(N H JUNPbdMOslashY H JLK H MeJ^QcYKfsNPbnJZOslashJUO H [SX H MeJNPb H QVUPJ(bn[]OWVH []jeh H MN H ZaringN`PJUY H MeJybnhQ H JLhQc[]OOtilde^eJUbnhZJUNPYJS^SvMN`BhNicentEgrave[Ph H miexclJ H NPfd^a)vMN`hNicentEgrave[Ph H mJ H NPfd^VecopyfhShS]jtimesQcO H h[B^jbnJ N`hZJ[]QR[]OWVcentNPYZJU^7NiKKhZ[]NPbMxXiacute[Ph H MeJ YZJ[]ZOslashJUO H N H Qc[]O[SXQZOslashJU^QcbLNPfQZ N[PJUY^ iexclYQcOeKj H [SX H MJUQRhNPfV[P[PhQ H MZe H MeJm bn[]OYQc^eJLh(centEgrave[ H M H MeJNPb H jNPf9QZaringN[PJgOtilde NPO^ H MeJOtildehZJ[]QR[]OWV4bLfsNPYZYZQVJU^ QCZaringN[PJgOtildeoslash^FMeJOtildebLfcNPYZYZQVJU^ QZaringN[PJOtilde oslash QcYiexclbn[]ZOslashKj H JU^`centmwZaringNkeQZaringQVcurrenUQcOF[ H MeJTKEgrave[]Y H JLhQc[Ph^QsY H hQRcentj H QR[]O [SX H MeJThJ[]QR[]OfcNicentEgraveJUfcY[]QUPJUO H MeJQcO H JUOYZQ H maeligQZaringN[PJS^MeJUQRh0hZJ[]QR[]O H JLhlZ JUOXiacute[PhbnJUY H MJcentEgrave[]jO^WVNihYm H [JUObLfc[]YJaringNYZQcOF[]fRJaelighZJ[]QR[]OQcOumlOtildeoslash^MeJaring^JUYZbnhQRK H [PhdYOtildeNihZJ H MeJXiacute[]fcfR[WQcO[WQ H M H MeJauml^QEgraveJLhZJUObnJ H MN HH MeJmWFNPO HH [regZaringNkeQZaringQcurrenLJ H MJTbnhQ H JLhQc[]OocircaringEFG FH uuml thorn UgraveUacuteUuml yuml aacute[Z] Otilde oslash a2atildeltszligaumljuuml thorn times Oslash yuml aacute suuml thorn otilde)yuml aacute[Z cent Otilde_^Ogravea2atildeshyszligaumlFj a)zSjWMJLhZJ]Z NPO^`Z cent NihZJ H WNtilde[7KEgrave[]YZQ H QVUPJbn[]OY H NPO H YNPO^ Otilde_^aQcY H MeJfrac34[PhNP^QRJUO HQZ N[PJS^ KhQc[PhYMNiKEgraveJ H JLhZDQcY(NPfcY[OslashNP^^eJU^ H [ H MJaumlbnhQ H JLhQR[]OeWiexclMQcbMbLNPO centEgraveJQcO H JLhZJUY H QsO[gXiacute[PhZOslashJU^QcbLNPf-QCZaringN[]QcO[gWiexclMeJLhZJ H MJiexclON H jehJ[SX H MeJYZMNiKEgraveJiexcl^[JUYFOe[ HbdMNPO[PJNaumlfc[ H Xh[]Z2QcO^QUBQc^jNPf H [TQsO^QVUWQc^jNPf)^MeJUOeiNPYNtildeQcOwa)EgraveMBjaringNPO^ordm0jQcfcfRJSefhShS]je H MeJWMe[]fRJaumlKhZ[PcentfRJZ QsY(hZJU^jbnJU^ H [ bn[]ZaringKj H QcO[ cent=[]jO^NihYm QcO H J[PhdNPfcYH MNPOF`BY H [ H MeJ hZJLJUOWVAQcJZaringNPOO H MeJL[PhZJZte(hN H MeJLh H MNPO centEgrave[ H M centEgrave[]jO^NihYmNPO^ ^[]ZaringNPQcO QcO H J[PhNPfcY^yacuteMeJQZOslashKfRJZaringJUO H N H QR[]O [SX H MeJNPb H QVUPJ7bn[]O H []jhaQcOa)vMN`hNicentEgrave[Ph H mJ H NPfd^Ve fhShS]jaringQcYaring^e[]OeJacentmjYZQcOF[N not []jehQcJLharingKNihNSZOslashJ H JLhdQVcurrenUN~VH QR[]O^yacuteMeJJkWKhZJUYZYZQc[]O [SX H MeJumlUPJUfR[WbLQ H mAumlUPJUb H [Ph [SX H MeJOacuteNPb H QVUPJ7bn[]O H []jeh QcY

uumlnyacute|thornLyuml13 a

yenKbrvbarsect =4 acirc $ zOe[ H bn[]ZOslashKj H JU^OeNtildecentj HOslashH MeJ bnhQ H JLhQc[]OQcYaringQcO H hZ[W^jbnJU^NPO^ OBjFZOslashJLhQcbLNPfsfVmOacuteJUiNPfuVjN H JU^ QsO [Ph^eJLh H [ ZaringNkeQZaringQVcurrenLJQ H ^ JbLNPO Oe[ H J H MN HH MJeumlNPj H Me[PhYMNUPJKh[PK=[]YZJU^ NlaquoUPJLhYm QcO H JLhZJUY H QcO[aeligJk H JUOYZQR[]O [SX H MQcYWNtilde[Phl` jYQcO[ H MJ5[]NSZaringJ H MeJnV[PhYma)vMN`BhNicentEgrave[Ph H m NPO^jObLNPOOeOfhShSh]j^J[]Qc[]O NPO^ cent=[]jO^NihYmOslashbnhQ H JLhdQR[]OYNihZJYJLKNihdN H JU^OePcentj H JUNPbMaringbnhQ H JLhQR[]Otimesbn[]O H NPQcOY$NPOtimesQsO H JLhNPb H Qc[]OlaquoWQ H M H MeJ[ H MeJLh^ Y H MJ_[]NSZOslashJKhZ[S[PhJUYZYJUYeBcentEgrave[ H MZOslash[W^jfcJUYyQZOslashKh[UPJ H MeJUQRh0KEgrave[]YZQ H QR[]OY H MhZ[]j[]MZtimesj H jNPfQcOFX[PhlZ N H QR[]O YZMNihQsO[^

Oe[ H MeJLhIacuteYZQZaringQcfsNihUacuteNiKKhZ[]NPbMMNPYaumlcentEgraveJLJUOQcO H hZ[W^jbnJU^eumlcentmbvMeJUYZONPj^eumlJ H NPfd^a)vMJUYZONPj^ J H NPfd^VefhShSh]j^FMeJUQchNtilde^eJUYZbnhdQRK H [PhYFNihZJhZJnVJU~NPfsjN H JU^ JUNPbM H QZOslashJUacuteNKEgrave[]QcO H [SX H MJNPb H QVUPJbn[]O H []jehFJUP[]fVUPJUY0YZQsObnJ H MeJUQRh0^JUYZbnhQRK H [PhdY$NihZJY H N H QcY H QcbLNPfXiacuteJUN H jehZJUYOtilde[SX H MeJ QZaringN[PJordm[]fR[PcentNPfsfVm`N HH NPbdMeJU^ H [ H MeJOslashJUP[]fVUWQcO[ hZJ[]Qc[]OY^shyMJmbdMe[[]YZJ H MeJ`hNPO^e[]Z ^QcYKfsNPbnJZOslashJUO H [SXaumlNOacutebn[]OYZQs^eJLhZJU^ KEgrave[]QcO H [SX H MeJ NPb H QVUPJbn[]O H []jehOslashY[ H MN HIacuteH MJ bnhQ H JLhQR[]O7^eJUbnhZJUNPYJUY^$ _X H JLhaeligJUNPbdM ^QcYKfsNPbnJZOslashJUO H [SXNKEgrave[]QcO H [SX H MeJIacuteNPb H QVUPJIacutebn[]O H []jehe H MJT^eJUYZbnhQcK H [PhY(NihZJOtildehZJnV4bn[]ZaringKj H JU^O^

fcN H JLh NiKKhZ[]NPbdM MNPYaringcentEgraveJLJUOQcO H hZ[W^jbnJU^ centm G NSZaringY[]O J H NPfd^_a G NSZ Y[]OJ H NPfd^Ve sSsSs jyacuteXiacute[PhOtildebLfcNPYZYZQbLN H QR[]OaNPO^acentmvMNPO NPO^frac34$JUYJa)vMNPOeumlNPO^frac34$JUYJSesSs fjX[PhaYZJ[]ZOslashJUO H N H Qc[]O [SXaeligY H QcfcfOtildeQZ N[PJUY^yacuteMeJm KhZ[PKEgrave[]YJ H [JZIacutecentEgraveJU^ H MeJbnhQ H JLhQR[]O ^QRhZJUb H fVm`QcO H MJaeligfcJUPJUf$YJ H X[PhlZtimesjfcN H Qc[]OO^Ov(MNPOeumlNPO^$JUYJOslashKhZ[PKEgrave[]YJH MeJordfXiacute[]fcfR[WQcO[Oslash^eJUYbnhQRK H [PhYaringEFG FH uuml thorn UgraveUcircUacuteUuml yuml aacutecb7d Otilde e f centUhguuml thorn timesOslash yuml aacutecb cent Otilde e cent centuuml thorn otilde)yuml aacuteiS adi]jWQ H M e H MeJ NUPJLhN[PJ[SXgOtildeQcOicircOuml timesOslash e e cent H MJ`NUPJLhdN[PJ[SXgOtilde7QsO OumluUgraveUcircUacuteUuml^MeJUYJH WNtilde[ UiNPfcjeJUY NihZJhJnVJUY H QZaringN H JU^ ^jehQcO[ H MeJKhZ[PK-N[]N H QR[]O [SX H MeJbLjhYUPJNPYH MeJaelighZJ[]Qc[]OYJUP[]fVUPJS^shyMeJtimesKNihNSZaringJ H JLhYjb e1b cent egeumlNPO^kSNihJaringY[]ZOslashJaeligKEgrave[]YZQ H QVUPJbn[]OY H NPO H Y^iexclJLhZJ H MJ fRJUPJUfFYJ H ZOslashJ H Me[W^QsYIacute^QchZJUb H fVmjYJU^OacutecentmhJLKhZJUYJUO H QcO[H MeJtimesbLjehYUPJlaquoYacuteaagravejNPY H MeJycurrenLJLhZ[fRJUPJUfampYJ H [SXyNQRKYZbdMQ H currenTbn[]O H QcOBje[]jY_XiacutejOb H QR[]Ol a2atildeshyszligaumlKszligYagravej^]MeJfRJUPJUfWYJ H XiacutejOb H QR[]O l QcYQsO H hZ[W^jbnJU^timesQcO H MeJbnhQ H JLhQc[]OUWQcN H MeJiexclJUNUWQcYZQc^JyacuteXiacutejOb H QR[]Onmra l j^MeJbnhQ H JLhQR[]O QcY H MeJUOoZaringQcOQZaringQVcurrenLJU^WQ H M hZJUYKEgraveJUb HH [ l jYZQcO[OslashNaelighZJ[]jfcNihQVcurrenLJU^UPJLhYQR[]O[SX H MJyZaringQcOQCZaringQVcurrenUN H QR[]O KhZ[PcentfcJZ JIacuteOe[ H JMeJLhJ H MN HFH MeJJUP[]fcj H QR[]OaringJBjN H QR[]O QcY0^QRhZJUb H fVmtimesJkBKhZJUYZYJU^regWQ H M H MJiexclfRJUPJUf-YJ HXqjOb H QR[]O NPO^ Oe[ H WQ H M H MJTbLjehYUPJgYacute|^

G []ZOslashJ[ H MeJLhWNtilde[Phl`BYeBjYZQcOF[auml^QcY H hQccentj H QR[]O H MeJL[PhYmSeBMNUPJcentEgraveJLJUOaringKh[PK=[]YZJU^OslashcentmJLcenthZJUjFUPJaJ H NPf)^_aJLcenthZJUjUPJ J H NPfd^Ve sSs fjXiacute[PhZaringJU^QcbLNPfQCZaringN[]QcO[NPO^ centm 5ZaringNP^QRJUjJ H NPfd^shyaq _Z NP^QRJUj J H NPf)^VeshyfhShSh]jcopyXiacute[PhcentjQsfc^QcO[times^eJ H JUb H QR[]OO^not QcONPfcfVmSe~hZJ[]QR[]OWVcentNPYZJU^aringNPb H QVUPJbn[]O H []jehYNtildeNihZJNPfcY[OtildeKEgrave[WFJLhYXqjf H [[]fsYX[PhNtildebLfcNPY5VYZQbLN H QR[]Opounda13yJcurrencurrenUQJ H NPfd^VeshyfhShSh]j[Ph_ZOslash[ H Qc[]O^eJ H JUb H QR[]Oxaw_aNPOYZ[]jehQgNPO^wcOtilde[]OWVhNP^efhShSh]j^MeJZ N~5[PhOtildebn[]O H hQRcentj H Qc[]Oa[SXy[]jh5WF[PhY`aQsY H [KhZ[PKEgrave[]YJaeligNo[PJUOeJLhNPfQXiacutehNSZOslashJnVWF[PhY`X[PhaumlhJ[]QR[]OWVcentNPYJU^OacuteNPb H QVUPJ bn[]O H []jehY H N`BQcOF[QcO H [NPbLbn[]jO HIacuteH MeJaringbLNPYJ [SX

hZJ[]Qc[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhY^OgraveMeJ UPJUfR[WbLQ H mordmUPJUb H [PhF[SX H MJiexclNPb H QVUPJUacutebn[]O H []jh

uumlnyacute|thornLyuml13 o

i $amp)(+-)013021+345627893lt=gt9A6CBQcYUacutebn[]ZOslashK-j H JU^centm`QcO H hZ[W^jbLQcO[N ^mWONSZaringQcbLNPfampYZbdMeJZOslashJaring^QchZJUb H fVm`QsO H MJaringbnhQ H JnVhQc[]O H [frac34ZaringQcOQZaringQVcurrenLJaeligNPYTQcO aJLcenthJUjUPJ J H NPfd^Ve sSs f 5ZaringNP^QcJUjJ H NPfd^VefhShSh]j^iexcl[WFJUPJLheWFJ KhZ[PKEgrave[]YJ MJLhZJ N OJW Xiacute[PhlZtimesjfcN H QR[]O7[SX H MJ^JLhQVUiN H QR[]OjYZQcO[YZMNiK=JIacute[PK H QZaringQcurrenUN H QR[]O H [B[]fcY^ Q H M YjbM NZaringJ H Me[B^egtWFJtimesNihJaeligNicent-fRJ H [hZJUNP^QsfVmH N`PJQcO H [NPbLbn[]jO HaringH MeJ bLNPYJ [SXhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhY H MN H U~NihYm^jhQcO[ H MeJ KhZ[PKN[]N H QR[]O[SX H MeJ NPb H QUPJ bn[]O H []jeh^MeJUYJ ^eJUYZbnhQRK H [PhYTMNUPJH [centEgraveJtimesbn[]OYZQc^eJLhZJU^ YZQcObnJ H MJmaNihZJlaquoWQc^eJUfmjYJU^X[PhOtildejOYZjeKEgraveJLhYUWQcYJU^YJ[]ZaringJUOWVH N H QR[]O^ not [Ph(YZjbdM hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYbnhQRK H [PhYeOgraveWFJiexclYZMe[W H MN H NP^^Q H QR[]ONPfH JLhlZ Y0NiKKEgraveJUNihNtildeQsO H MeJJUP[]fcj H QR[]OaringJBjN H QR[]O [SX H MeJiexclbLjehlUPJ H MN H MNUPJUacuteOe[ H centEgraveJLJUOKhJUBQR[]jYZfVm bn[]ZOslashK-j H JU^O^

pE paraOacuteOgraveJJTIshyAgravesup1cedilqoacuteIshyacuteLcedilsup3UrltLcedilgtmicrobacuteNsMgtLtrraquoML iquest acuteAgravegtT2MKIOAacutelAcirclaquocedilFAtildeacuteNfrac12oRSJT13AringKacutepoundAEligMKIKJMgtPltLAtildeq jhyZaringNPQcOb[P[]NPfFfsQRJUYTQcO H MeJ JUfsNicent=[PhdN H QR[]O[SXNfrac34[PJUOeJLhNPfXhdNSZOslashJWNtilde[Phl`umlX[Ph H MeJYJ[]ZaringJUO H N H QR[]O7[SXNPO7QZaringN[PJQcO H WF[euml^Q=JLhJUO H hZJ[]QR[]OYtimesjYZQcOF[hZJ[]QR[]OWVcent-NPYJU^NPb H QVUPJIacutebn[]O H []jehdY^ JOtildeKhZ[PKEgrave[]YJ H [ZaringQcOQZ QVcurrenLJ H MeJiexcl[PJUOeJLhdNPfgbnhQ H JLhQc[]O a2jWiexclMeJLhZJUacuteJUNPbM hJ[]QR[]OQcYamp^eJUYbnhQRcentEgraveJU^TjYQcO[UacuteN_XqjOb H Qc[]OtimesbLNPfsfRJU^ n^eJUYZbnhQRK H [Ph[SX H MeJhZJ[]QR[]Op^i YampKhZJUWQuV[]jYfVmOtilde^eJ H NPQcfRJU^OeNiexcl^eJUYbnhQRK H [PhQcY9N XiacutejOb H QR[]O H MN H ZOslashJUNPYZjhZJUY H MJNtildeMe[]ZOslash[S[PJUOJUQ H m[SXyN hZJ[]QR[]OO^Egrave_[]Y H [SXyhJUfRJU~NPO H Y H N H QcY H QcbLNPf^eJUYZbnhQcK H [PhY^JLK=JUO^ H MeJZaringYZJUfVUPJUY[]O H MeJOslashhJ[]QR[]OO^ G []ZOslashJOslashJkeNSZOslashKfRJUYOtildeNihJordm[]QVUPJUOQcO G JUb^shy^ macr^ not [PhTJkWNSZOslashK-fRJSe H MeJhZJ[]Qc[]Oa^eJUYZbnhdQRK H [Phordfuuml thorn timesOslash yuml bLNPO centEgraveJTbM[]YJUOeumlNPY H MJyUiNihQcNPObnJvu centtimesOslash [SX H MeJThJ[]QR[]OOumlcopytimesOslashFeWMQcbdM[]QVUPJUYaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashj|aacute[u centtimesOslash aacutexw$ aOtilde SOtimesOslashjUcirccent atilde aumlw$ atilde aumlWMJLhZJSOtimesOslash QcY H MJyZOslashJUNPO [SX H MeJaumlhJ[]QR[]OwOumlcopytimesOslash^ G jbMaNaring^eJUYZbnhQcK H [PhQcY(ONSZaringJU^aNn5hZJ[]Qc[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhlpOslashYZQcObnJaumlQ H ^eJLKEgraveJUO^YF[]O H MeJaumlhJ[]QR[]OwOuml timesOslash ^q ObnJ H MeJTbnhdQ H JLhQR[]O QcYQcO H h[B^jbnJU^OeWNtildeJTKhZ[PKEgrave[]YJ H [ bn[]ZaringKj H J H MeJTJUP[]fcjWVH QR[]OUacuteJBjN H QR[]OT[SX H MJ0bn[]O H []jh H MN H WQsfcfZaringN`PJ0Q H JUP[]fVUPJ H [WNih^YNyacuteZaringQcOQCZIacutejFZ[SX H MeJTbnhdQ H JLhQR[]OjYZQcO[OslashNaringOeJWH0jfcJLhQcNPOZOslashJ H Me[W^O^ H XqjO^NSZOslashJUO H NPfcfVm ^QEgraveJLhYXiacutehZ[]Z2[ H MJLhFNiKKhZ[]NPbMeJUYFYZQcObnJyacuteWNtildeJ_`PJLJLK H MJ Xiacute[PhlZIacutejfcN H QR[]Oaring[SXhJ[]QR[]OY0QsOY H JUNP^[SXyhJU^jbLQcO[ H MeJWiexclMe[]fRJTKhZ[PcentfRJZ H [ centEgrave[]jO^NihYm QcO H J[PhNPfcY^gtO^JLJU^OeWFJlaquohY HQcO H hZ[W^jbnJFNiexcl^mWONSZaringQsbLNPfYZbdMeJZOslashJ(QcO H MeJ(bnhQ H JLhQc[]OIacuteNPO^ H MeJUOWFJbn[]ZaringKj H J H MeJNtildejfRJLhQcNPO`^eJLhQVUiN H QVUPJaelig[SX H MJOslashJUP[]fVUBQsO[ bnhQ H JLhQR[]O`centm`jYZQsO[ YMNiKEgraveJIacute[PK H QCZaringQVcurrenUN~VH QR[]O KhQsObLQRKfRJUY^]MQcYZOslashJ H Me[W^ KhZ[UWQc^eJUY H MeJUacuteNP^U~NPO H N[PJ H MN HH MeJ5U~NihdQcN H QR[]O[SXehZJ[]Qc[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYbnhQRK H [PhYltWQ H M H MeJFJUP[]fcj H QR[]OIacute[SX H MeJNPb H QVUPJ(bn[]O H []jhbLNPO centEgraveJOtildehZJUNP^QcfVm H N`PJUO`QcO H [ NPbLbn[]jO H ^MeJTbn[]ZOslashKj H N H QR[]Oa[SX H MJTJUP[]fcj H Qc[]OaJBjN H QR[]O`[SX H MeJIacuteNPb H QUPJtimesbn[]O H []jehOtildeQcYKEgraveJLhYXiacute[PhlZOslashJU^QcO H MehJLJyZaringNPQcO Y H JLK-Yaring

uumlnyacute|thornLyuml13 y

yenKbrvbarsect =4 acirc $ hf^ltO H hZ[W^jb H QR[]O[SX$NOslash^mWONSZaringQcbLNPfYbMeJZOslashJSaring JTYJUNihbdMX[Ph H MeJOtildeKNih H Q H Qc[]O[SX H MeJaumlQZ N[PJadOumlcopytimesOslashszliglOuml UgraveUcircUacuteUuml szligYYacutejWMQcbdMZaringQcOQuVZaringQVcurrenLJUY H MeJbnhQ H JLhQR[]Oocirc|adOumlcopytimesOslashgtszliglOuml UgraveUcircUacuteUuml szligYYacutej^eJUYZbnhQRcentEgraveJU^aeligQcOa2j^ MQcfRJNPYZYZjZaringQcO[

H MN H NPO`[PK H QZaringNPf9KNih H Q H Qc[]O JkWQsY H Ye H MJTQcYZYZjJTQcY H [ bn[]ZOslashKj H J H MQcYiexclY[]fcjWVH QR[]OO^ G QsObnJ H MeJ YJ H [SX(NPfcfy^e[]ZaringNPQsOYaumlMNPYIacuteOe[ H NaY H hjb H jehZJOslash[SXcopyUPJUb H [PhQsNPfYKNPbnJSeQ H QcYauml^Qz bLjf HUacuteH [abn[]ZOslashKj H J H MeJ ^eJLhdQVU~N H QUPJOslash[SX H MJ bnhQ H JLhQc[]ONPb|Vbn[Ph^QcO[ H [ H MJ^e[]ZaringNPQsOY^_[ bLQchbLjFZUPJUO H H MQcY`KhZ[PcentfcJZeyacuteWFJNiKKfmN H hNPOYYX[PhlZ N H QR[]O| H [ JUNPbM^e[]ZaringNPQsOOeYZjbdM H MN H Q H centEgraveJUbn[]ZOslashJUY`bn[]OWVH QcOj[]jYZfVm^eJLKEgraveJUO^eJUO H []O NPO JUP[]fsj H QR[]O KNihNSZOslashJ H JLhagrave^MeJ`bnhQ H JLhQR[]Ocent=JUbn[]ZaringJUYT^eJLKEgraveJUO^eJUO H []Obagravearingocirc|aagravejgaacute ocirc|adOumlcopytimesOslashaagravejszliglOuml UgraveUcircUacuteUuml aagravejszligYYacuteaagravejj^QO H MQcY^mBONSZaringQcbLNPfTYbMeJZOslashJSeiexclWFJ bLNPO hJUNP^QcfVm H N`PJQcO H [ NPbLbn[]jO H N K=[]YYZQRcentfRJU~NihQsN H QR[]O[SX H MeJ ^eJUYZbnhdQRK H [PhYWQ H M H MeJJUP[]fVUWQcO[ hZJ[]QR[]OYk|adOuml times j aacuteOumlcopytimesaagravej^

^QiexclJLhdQVU~N H Qc[]O [SX H MeJaumlbnhQ H JLhQc[]O jYZQcO[OslashYZMNiK=JOtilde[PK H QZaringQVcurrenUN H QR[]O H MJL[PhZJZaringYaringMeJNtildebnhdQ H JLhQR[]OocircOcircaagravej9QcY H MeJUOIacute^JLhQVUPJU^TNPbLbn[Phd^QcO[ H [5agrave H MNPO`WY H [ H MeJFbn[]ZaeligVKj H N H QR[]Oeuml[SX H MeJ0jfRJLhQcNPOeuml^eJLhQU~N H QVUPJaelig[SX_ocircjYZQcO[YZMNiKEgraveJaelig[PK H QZ QVcurrenUN H QR[]OKhQcObLQcKfRJUYeOWMQcbMQcYIacuteOJWQsO H MeJNihZJUN [SXNPb H QVUPJ bn[]O H []jehY^$ YXqNihOslashNPYH MeJF^JLhQVUiN H QR[]OTQcYbn[]ObnJLhOeJU^e H MeJU~NihdQcN H QR[]OIacute[SX H MeJF^JUYZbnhQRK H [PhdYWQ H M H MeJJUP[]fVUBQsO[OslashhZJ[]QR[]OY_Oumlcopytimesaagravej(NPO^Y[ordmWQ H MagravetZIacutejY H centEgraveJ H N`PJUOaQcO H [aringNPbLbn[]jO H ^

^vF[]ZOslashKj H N H Qc[]O [SX H MJaumlJUP[]fcj H QR[]OJjN H Qc[]OXh[]Z H MeJauml^eJLhQU~N H QVUPJSaringnot hZ[]Z H MeJNtilde^JLhQVUiN H QVUPJSeWFJNtilde^eJU^jbnJ H MeJUPJUfR[WbLQ H mordfUPJUb H [Ph$[SX H MeJFNPb H QVUPJbn[]OWVH []jeh H MN H WiexclQcfcfZaringN`PJQ H JUP[]fUPJiexclNPYXqNPY H NPY$KEgrave[]YZYQRcentfRJ H [WNih^YNtildeNgZaringQcOQCZIacutejFZ[SX H MeJOtildebnhQ H JLhdQR[]OO^ObLNPYJUacute[SX9hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhYe H MeJUacuteJUP[]fcjWVH QR[]OeumlJjN H QR[]Oeuml[SX H MJaringNPb H QVUPJaringbn[]O H []jhTQcYOtilde^QEgraveJLhZJUO H XhZ[]Z H MJtimes[]OJaringbn[]ZaeligVKj H JU^ Xiacute[Ph hZJ[]QR[]OWV4QcO^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhY^ G []ZOslashJ`NP^^Q H QR[]ONPf H JLhZaringYNiKKEgraveJUNihiexclNPO^`Y[ Q H QcY[SX$KhdQZOslashJaumlOeJUbnJUYZYQ H m H [bn[]OYZQc^JLh H MeJ H WNtilde[o`WQcO^Y([SX^eJUYZbnhQRK H [PhY(YJLKNihN H JUfmS^

9J H jYFOe[ H J H MN HFH MQcY[PJUOeJLhNPfKXiacutehNSZOslashJWF[PhY` bLNPO centEgraveJNiKK-fcQRJU^ H [ordmZaringNPOm ^QEgraveJLhVJUO H NiKKfsQcbLN H QR[]OYcentm[]OfVmbMNPO[]QsO[ H MeJT^eJUYbnhQRK H [PhY^ H MNPYcentEgraveJLJUOOe[ H NicentfmNiKK-fcQRJU^ H [ordmZOslash[UBQsO[aelig[Pcent~5JUb H Y(^J H JUb H QR[]O QcOoUBQs^eJL[timesYZJjeJUObnJUY(NPbjQchZJU^ JUQ H MeJLhWQ H MN Y H N H QcbawS]JUMNPOWV4XFJUYZY[]O J H NPfd^Ve sSs fLbjiexcl[PhUacuteNregZOslash[Pcent-QcfRJTbLNSZOslashJLhdNawS]JUMNPOWVXFJUYZY[]O J H NPf)^Ve sSs fncentj^ JUYZbnhQRK H [PhdYoZ Nm NPfcY[centEgraveJ YJBjeJUO H QcNPfcfVm jYJU^ H [QZaringKhZ[UPJ H MeJu-ONPfBhZJUYZjf H NPYyQ H MNPYampcentEgraveJLJUOaeligKh[PK=[]YZJU^timesQsOtawSPJUMNPOWV4XFJUYZYZ[]OOslashJ H NPfd^VesSs fLNOgravej^^f^~OacuteETHEgraveKEacute18=KETH32EacuteltOacuterEacute0frac34Ntilde83ltOacuteONtildeshyIacute=gtNtildeshyEumltIcirc=39IgraveFIacute5Igrave O QZaringN[PJumlOtildegta2atildeltszligaumlj QcYNxXqjOb H QR[]O ^eJOJU^ Xiacute[Phpounda2atildeshyszligaumlFj OumlOcirccenteuWMeJLhZJOumloslashQcY H MeJ QZaringN[PJ ^e[]ZaringNPQcOO^ltMeJ QCZaringN[PJ ^e[]Z NPQcOQcYIacutebn[]OYZQc^eJLhJU^ H [ cent=JZaringNP^eJjeK`[SX H WF[KNih H Ylaquoa not Q[^fjaring H MJyXiacute[PhZJ[PhZ[]jO^`KNih H bn[]O H NPQsOQcO[ H MeJT[Pcent~JUb H Y H [

uumlnyacute|thornLyuml13

f s $amp)(+-)013021+345627893lt=gt9A6CBYJ[]ZaringJUO H e=Oe[ H JU^frac34OumlcopytimesOslashFe-NPO^ H MeJaumlcent-NPbY`[PhZ[]jO^aKNih H Oe[ H JU^Ouml UgraveUcircUacuteUuml ^MeJauml^QcYZbn[]OWVH QcOBjQ H m`YJ H QcYOtildeNbLjehlUPJ Oe[ H JU^bYacute H MN H ^JOeJUY H MeJ cent=[]jO^NihYmcentEgraveJ H WNtildeJLJUO H MeJH WNtilde[ ^[]ZaringNPQcOY^ J H MJUOaYJUNihbdMtXiacute[Ph H MeJ H WNtilde[^e[]ZaringNPQsOYyacuteOuml UgraveUcircUacuteUuml NPO^wOumlutimes OslashWMQcbdMtZaringQcOQZaringQVcurrenLJ H MeJbnhQ H JLhQR[]Oocircuml[]QVUPJUOcentmumla2jehZJZaringQcO^eJU^ MeJLhZJSaring

ocirc|adOuml UgraveUcircUacuteUuml szliglOumlcopytimesOslashgtszligYYacuteQjumlaacute uuml thorn UgraveUcircUacuteUuml yuml a2atildeltszligaumlgtszliglOuml UgraveUacuteUuml j atilde auml $ uuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOuml timesOslash j atilde aumlamp uacuteucirc thorn yuml uuml thorn otilde)yuml a2atildeshyszligaumlFj THORN5OaumlbnhQ H JLhdQR[]Oa2je H MeJ|hY HH WNtilde[ H JLhlZaringY9NihJyhZJ[]QR[]OWVcent-NPYJU^ordfWMQsfRJ H MeJ H MQRhd^ H JLhlZQcYcentEgrave[]jO^NihYmVcentNPYJU^O^MeJiexclXqjOb H QR[]OYyacuteuuml thorn UgraveUcircUacuteUuml yuml egtuuml thorn timesOslash yuml NPO^tuuml thorn otilde)yuml NihZJaumlhZJUYKEgraveJUb H QVUPJUfmH MeJ^eJUYZbnhdQRK H [PhY[SX H MeJFcentNPbl`[PhZ[]jO^timesKNih H ei[SX H MeJ[Pcent~JUb H Y H [OtildeYJ[]ZOslashJUO H NPO^Iacute[SXH MeJaumlbn[]O H []jeh^KMeJauml^eJUYbnhQRK H [PhYuZ Nm centEgraveJordf[]fR[PcentNPfcfm N HH NPbMJU^ H [ H MeJOtildeJUP[]fVUWQcO[hZJ[]Qc[]OY(NPO^Y[ ^eJLKEgraveJUO^ []Ofrac34Ouml timesOslash [Ph5OumluUgraveUcircUacuteUuml^

G QcObnJ H MeJaringYJ H [SXNtildeNPfsf$^e[]ZaringNPQcOYUacuteMNPYOtildeO[ H N Y H hjb H jehJtimes[SXUPJUb H [PhQcNPfyYZKNPbnJSeWFJIacutebLNPOeumlOe[ H bn[]ZOslashKj H J H MeJaelig^eJLhQVUiN H QVUPJT[SX H MJIacuteKhJUBQR[]jYbnhQ H JLhdQR[]OaNPbLbn[Ph^QcO[H [euml^e[]ZaringNPQcOY^ltMJLhZJX[PhJSe H [bn[]ZOslashKj H JNPO[PK H QZaringNPfFY[]fcj H Qc[]OOe9Neuml^mWONSZaringQcbLNPfYZbdMeJZOslashJOtildeQcYQcO H hZ[W^jbnJU^WMeJLhZJJUNPbM^[]ZaringNPQcO cent=JUbn[]ZaringJUY(bn[]O H QcOBje[]jYfVm ^eJLKEgraveJUOWV^eJUO H []ONPO JUP[]fcj H QR[]O KNihdNSZOslashJ H JLhagrave^59[ X[PhZaringNPfcQVcurrenLJ H MQcYQc^eJUNe WNtildeJxZaringNmYZjKKEgrave[]YJ H MN HTH MJ JUP[]fcj H Qc[]OKhZ[WbnJUYZYtimesQcY H [ H NPfsfVm^eJ H JLhlZaringQcOJU^centm H MJ JkeQcY5VH JUObnJiexcl[SXgNyXqNSZaringQcfmIacute[SXgNiKK-fcQcbLN H QR[]OY| H MN HNtildeH hNPOYXiacute[PhlZaringY H MeJiexclQsOQ H QcNPfe^e[]Z NPQcOYOumlcopytimesOslashgta s jNPO^tOuml UgraveUcircUacuteUuml a s jQsO H [ H MeJIacutebLjehZhZJUO H ^e[]ZaringNPQcOYyacuteOumlcopytimesOslashKaagravejNPO^frac34Ouml UgraveUcircUacuteUuml aagravejaring

OumlutimesUcirca s j ntilde OumlcopytimesaagravejYacutea s j ntilde Yacuteaagravej WiexclMeJLhZJVQaacuteiV[Ph Kf5 iumlMBjY H MeJOtildehJ[]QR[]OY(JUP[]fVUPJ H [WNih^YiexclNPO [PK H QZaringNPf9Y[]fcj H QR[]O^MeJ H hQRKfcJ H Ouml UgraveUcircUacuteUuml aagravejszliglOumlcopytimesOslashOaagravejszligYYacuteaagravejordmZIacutejY H NPb H NPYNregZaringQcOQZ QVcurrenUQcO[TYZJjeJUObnJgX[Phocirc|adOuml UgraveUcircUacuteUuml szliglOumlcopytimesOslashszligYYacutejWiexclMeJUOagrave JUP[]fVUPJUY^MeJ5XqjOb H QR[]ONPfOocircOcircadOuml UgraveUacuteUuml aagravejszliglOumlcopytimesOslashaagravejszligYYacuteaagravejjMNPY H [ bn[]OOgraveUPJLhY[PJ H [WNih^Y H MeJpoundZaringQcOQCZIacutejFZ UiNPfcjeJeuml[SXregocirc2NPYfrac34agraveacircntilde ograveegrave^ MeJbnhQ H JLhQR[]O H MeJUO centEgraveJUbn[]ZOslashJUYaring

ocirc|adOuml UgraveUcircUacuteUuml aagravejszliglOumlcopytimesOslashaagravejszligYYacuteaagravejjaacute thorn yuml uuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszliglOuml UgraveUcircUacuteUuml aagravejj atilde auml 5$ thorn yuml uuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashKaagravejj atilde aumlj uacuteucirc thorn yuml uuml thorn otilde)yuml a2atildeshyszligaumlFj THORN adh]jMJoXqjOb H Qc[]ONPf_ocircOcircadOumlyacuteUgraveUacuteUumllaagravejszliglOuml timesOslash aagravejszligYYacuteaagravejjaeligQcY H MeJLhZJUNX H JLh O[ H JU^egraveocirc|aagraveje0NPO^H MeJ ^eJUYZbnhQcK H [PhYuuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashKaagravejj NPO^icircuuml thorn UgraveUcircUacuteUuml yuml a2atildeltszligaumlgtszliglOuml UgraveUcircUacuteUuml aagravejjaringNihZJ`hZJUYKEgraveJUb|VH QVUPJUfmUacuteO[ H JU^laquouuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejgNPO^laquouuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszligYagravejeWMQcbdMTfRJUNP^Y H [ H MeJXiacute[]fcfR[WQcO[

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ fSfJkWKhZJUYZYQR[]OOaring

ocirc|aagravejumlaacute thorn yuml uuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszligYagravej atilde auml $ thorn yuml uumlgtthorn timesOslash yuml a2atildeltszligaumlgtszligYagravej atilde aumlj uacuteucirc thorn yuml uumlgtthorn otilde)yuml a2atildeshyszligaumlFj THORN af s j5OOtildebn[]O H hdNPY H WQ H MUacute[ H MeJLh9NPb H QVUPJFbn[]O H []jehdY9NiKKh[]NPbMeJUYe H MeJy^mWONSZaringQcbLNPfPYZbdMeJZOslashJQcYtimesMeJLhZJ^QRhJUb H fVmQcO H h[B^jbnJU^QcO H MeJbnhQ H JLhQc[]OO^ Q H MYZjbdMNeumlYZbdMeJZOslashJSe H MeJQcO H hZ[W^jb H QR[]OOacute[SXiexclNPO NPb H QVUPJbn[]O H []jehOslashJUP[]fVUWQcO[ WQ H Msup1agraveQcYaeligY H hNPQ[]M H Xiacute[PhYWNih^O^iexclJUObnJ WNtildeJbn[]OYZQc^eJLh H MN H Yacuteaagravej QsYoZaring[B^eJUfsfRJU^ NPY NPO NPb H QUPJOacutebn[]O H []jh H MN Hbn[]OUPJLhY[PJUY H [WNih^Y H MJgONPfEgraveJkWKEgraveJUb H JU^YJ[]ZOslashJUO H N H QR[]OO^9J H Yacutea s jtimescentEgraveJ H MeJQcOQ H QcNPfNtildebLjhYUPJa^eJOJU^centm H MeJjYJLh^ JahZJUbLNPfcf H MN H WFJYJUNihdbMtXiacute[Ph YacuteaagravejNPYNaringbLjehlUPJaumlJUP[]fVUWQcO[aringNPbLbn[Ph^QsO[ H [ H MeJgXiacute[]fcfR[WQcO[ordm5 aringaelig YacuteadTHORNOgraveszligYagravejaelig agrave aacuteegraveeuml WiexclQ H MigraveYacutea s j|aacuteegraveYacuteshyiacute afSfjWMJLhZJ_euml`QcY H MJ_UPJUfR[WbLQ H mUPJUb H [Ph([SX H MeJUacuteNPb H QVUPJOtildebn[]O H []jh^MeJ_Z NPQcO KhZ[PcentfRJZfcQcJUYFQsO-O^QcO[ H MeJiexclUPJUfR[WbLQ H meumlXhZ[]Z H MJUacutebnhdQ H JLhQR[]Opoundaf s jFQcO [Ph^JLh H [ordm[PJ HH MeJXqNPY H JUY H bLjhYUPJaumlJUP[]fcj H Qc[]O H [WNih^Y H MeJordfONPfYJ[]ZaringJUO H N H QR[]O^^ ^iexclEacuteltIacuteETHNtildeFETHEacuteshyOacute Eacute10wETH9Igrave8ltIgraveFEgravegt+NtildeFETH3gt+ltIgraveumlEacute10frac34ETH9Igrave=KEgrave13ETHIgraveFEgraveEacuteshyOacute5Oeuml[Ph^eJLh H [ [Pcent H NPQsO H MeJOslashJUP[]fcj H QR[]OeumlJBjN H QR[]Oe H MeJaringbnhQ H JLhQc[]OxocircOcircaagravej5ZtimesjY H centEgraveJ^QV=JLhZJUO H QcN H JU^WQ H MhZJUYKEgraveJUb H(H [agrave^MeJOtildeQcO H J[PhNPfcentEgrave[]jO^Y^eJLKEgraveJUO^ []Otagrave NPO^H MeJauml^JUYZbnhQRK H [PhdYyacuteuuml thorn UgraveUcircUacuteUuml yuml a)jNPO^wuuml thorn times Oslash yuml a)juZaringNm NPfcY[aring^JLK=JUO^[]Otagrave^9J H jY^eJOJ H MeJordfXiacutejOb H QR[]ONPfuumlOa2atildeltszligaumlgtszligYagravejYZjbM H MN H aring

uumlOa2atildeltszligaumlgtszligYagravej|aacute uuml thorn UgraveUacuteUuml yuml a2atildeltszligaumlgtszligYagravej QVXcopya2atildeltszligaumljwOuml UgraveUcircUacuteUuml aagravejuuml thorn times Oslash yuml a2atildeltszligaumlgtszligYagravej QVXcopya2atildeshyszligaumlFjtOumlcopytimesOslashKaagravej af jMJbXqjOb H QR[]ONPfuuml thorn UgraveUcircUacuteUuml yuml a)jNPO^Huuml thorn times Oslash yuml a)j`NihZJ^eJOJU^ []O H MeJxWMe[]fRJ7QZaringN[PJ^e[]Z NPQcOtOumliexcl^FMeJUOe H MeJaumlbnhQ H JLhQc[]OocircOcircaagravejuWhQ H JUY(NPYaring

ocirc|aagravejOcircaacute uacute uumlOa2atildeshyszligaumlKszligYagravej atilde aumlj uacuteucirc thorn yuml uumlgtthorn otilde)yuml a2atildeshyszligaumlFj THORNordfaacuteocirc aagravej ocirc cent aagravej af]jWMJLhZJgOuml QcY H MeJaumlQCZaringN[PJT^e[]ZaringNPQsOOeeNPO^Oaring

ocirc aagravej|aacute uacute uumlOa2atildeshyszligaumlKszligYagravej atilde aumlocirc cent aagravejOcircaacute uacuteucirc thorn yuml uuml thorn otilde)yuml a2atildeshyszligaumlFj THORN

uumlnyacutenthornnyumll13YSordmY_F

f $amp)(+-)013021+345627893lt=gt9A6CB5OOtilde[Ph^eJLh H [bn[]ZaringKj H J H MJ0^eJLhQVUiN H QVUPJy[SX H MJNtildebnhQ H JLhdQR[]Olaquoocirc aagraveje H MJNtilde^QcYbn[]O H QcOBjWVQ H QcJUY|ZtimesjY H JkWKfcQcbLQ H fVmIacutecentEgraveJ H N`PJUOQcO H [IacuteNPbLbn[]jO H ^ not [Ph(YZjbdM NIacuteKjehZKEgrave[]YJSeSWFJ5hY HhZJUbLNPfsf-N[PJUOeJLhNPf H MeJL[PhJZbn[]ObnJLhOQcO[ H MeJUacute^eJLhQVUiN H QVUPJ[SX9N H QZOslashJnV4^eJLKEgraveJUO^JUO HbnhQ H JLhQR[]OO^9J H jY(^eJ-OeJyOumlcopytimesaagravejNPYNOslashhZJ[]Qc[]OQcObLfcj^eJU^QcO H [regOumlordf^yacute5 q Ntilde_ f^1ltuumlStimesBiexcl centpoundcurrenyencurrenbrvbarsectumlordfcopynotlaquo3shyyenLregmacrcurrenRlaquodegcurrenbrvbarlaquo Oumlplusmna s szligsup2|iexcljsup3acute Rlaquomicromiddotparagtltocirc|aagravejOcircaacute w thorn yuml uumlStimesYa2atildeltszligaumlgtszligYagravej atilde auml~sup3cedilsectsup1ltlaquoordm ocirc agrave aacuteocirc7raquodaagravejOcircaacute thorn yuml aelig uumlStimesaelig agrave atilde auml uacutefrac14 thorn yuml uumlStimesYafrac34frac12 eacuteAgraveiquestsup1AacuteAtildeAcircYj THORNAuml sectsup1ltAringPfrac12AEligreg(centsectsup1Ccedilbrvbar_paracurrenyenshyltregLLEgraveacutecurrensup2uml aelig Oumlcopytimesaagravej RlaquomicroeacuteAgraveiquestsup1AacuteAtildeAcircEacuteregEcirccentsectsup1copysup1laquoregEumlreg(laquo Auml brvbarAringsup2microacutelaquocurrenRAringordfpound RparaIgravecurren aelig Oumlcopytimesaagravej_IacuteMJ^JLhQVUiN H QVUPJ[SXshyocircWQ H MaelighZJUYZK=JUb HampH [yagraveaeligQcY H MJyacute0jfRJLhdQcNPOIacute^JLhQVUiN H QVUPJ([SXocirc|adOumlcopytimesAjQcO H MeJOtilde^QRhJUb H QR[]O [SXEumlfrac12umleWMQcbdM bn[]ZaringKj H N H QR[]O QcY[]QVUPJUO QsO iexclKKEgraveJUO^Qkaring ^FMeJUiNihQcN H QR[]Oeuml[SX5ocirc QcYOtilde^jeJ H [ H MeJUiNihQcN H Qc[]O[SX H MeJordmXiacutejOb H QR[]ONPfOcircuuml]timesa2atildeltszligaumlgtszligYagravejaumlNPO^H [ H MeJgZOslash[ H Qc[]O[SX H MeJOtildeQcO H J[PhNPf^e[]ZaringNPQsOOumlutimesaagravej^ Y(Naeligbn[PhZ[]fcfcNihYm [SXltMJL[PhZJZfeFWFJordf[PJ H aringv q q shy9 5lt f^yenIcirccopyNcentampcentcopyIuml-Iumlsup1currenfcentyenYsectnot -sectsup1Ymicro-currenRpound Rreglaquofrac34Oumlgaagravejampreg(centpound -microETHcopyIumliexclcurrensup2uml Auml currenCIuml RAringordfcentsup3yOuml timesOslash aagravejNtilde RlaquomicropoundOumlyacuteUgraveUacuteUumllaagravejOgravecentyenfrac34Iumlsup1 brvbarAringsup2 brvbarmicro_Egraveh iexclpoundYcurrenbrvbarCcedildreglaquoNOacutehreglaquo5_Aringumllt -shytYacuteaagravejAuml sectETHregmacrshy_sectOcircCcedilRltparaOtildecurrendshyltregLLEgraveregEcirccentyacuteeumlEumlIacuteOumlsectsup1Uumlordfcopynotlaquo3shyyenLregmacrcurrenRlaquouumlOa2atildeltszligaumlgtszligYagravejreg(centcentordfcopyIuml-Iumlsup1currenfcentyenmicroOcircIgravecurrenOcirccentltfrac34Iuml RAringsup2 -_paraEgraveshycurrenRlaquo5LreglaquocopycurrenRcopynotcentcedilreglaquoyOumlcopytimesOslashKaagravejW Rlaquomicro Ouml UgraveUcircUacuteUuml aagravej_copy3pound REgraveampJmicrobrvbarregEcirccentltshycurrenRlaquo5LreglaquocopycurrenRcopynotcentJ -shyltAringPcurrenfcentcentYacuteaagravej_Iacutetimes Agravelaquocurrenbrvbaruuml thorn times Oslash yuml Rlaquomicroruuml thorn UgraveUcircUacuteUuml yuml sup3sectsup1Ccedilf brvbarparacopy5iexclcurrensup2umlwuumlreglaquoOslashAringordfcentIumlshydLreg(Ccedilbrvbar_paraEgraverOumlutimes OslashaagravejAgrave Rlaquo3microOuml UgraveUcircUacuteUuml aagravej_IacuteUgraveOumlsectNcopyNcentampsectmicroETH_Aringordfreg(CcedilR brvbarLregCcedilRcurrensup2umlordfocirc|aagravej Auml AringregLordfcent fcent_ordm

ocirc7raquo)aagravejOcircaacuteUacute thorn yuml aelig uumlaelig agrave atilde auml uacutefrac14 thorn yuml uumlOaLUcirc eacute iquestsup1Aacute j THORN uacuteucirc thorn yuml uumlNaeuml eacuteHj THORNAuml sectsup1ltAringPacute uumlNAringfrac34Iuml3AringP_centlt_laquocentYsectUumlordfcopysup1poundUgraveIumlcurrensup2umlguumlh -shyltAringPcurrenfcentcentordfYacuteaagravej_ordmW uumlNaacuteacircuuml thorn UgraveUacuteUuml yuml uuml thorn times Oslash yuml sup3eacute sectsup1ncopynotlaquo5reglaquo3currenRAringpound RparaIcirccurrensup2umlordfYacuteaagravejmicrobrvbarreg(AringshydmicroampumlAringPcurrenRpound Ouml UgraveUacuteUuml aagravejIgravecurrenOumlutimes OslashKaagravejsup3eacuteAgraveiquestsup1Aacutesectcopysup1laquoregLEumlreglaquo Auml RAringPmicroOcirclaquocurrenRAringordfpound Rpara1Igravecurren aelig Oumlgaagravejj RlaquomicroUcircYacutesectsup1jCcedilbrvbar_paracurrenyenshyltregLLEgravenCcedilbrvbarshydIgravecurrenRAringjcurrensup2uml_Oumlyaagravej_Iacute

plusmngLMOMraquo aring JbLNPO NiKKfVm MJL[PhZJZ f H [ H MeJ ^[]ZaringNPQcO Oumlutimes OslashaagravejaringNPO^ H [ H MeJ^e[]Z NPQcOtOuml UgraveUcircUacuteUuml aagravej^ ^^QcO[ H MeJ H WF[aringJjN H QR[]OYeFWFJOtilde[Pcent H NPQcO H MeJTbn[PhZ[]fcfsNihYmS^ H QcYIacuteOe[WY H hNPQ[]M H Xiacute[PhYWNih^ H [[PJ HtimesH MeJ ^eJLhdQVU~N H QUPJ [SX H MeJ bnhQ H JLhQR[]O ocirc aagravejaringWFJ H N`PJ5OumlyaagravejOcircaacuteAumlOuml H MeJiexclQZaringN[PJ^e[]Z NPQcOta not QV[^ j^MJUOOePcentmaeligJkWKfcQcbLQ H fVm H N`WQcO[

uumlnyacutenthornnyumll13YSordmY_FY

yenKbrvbarsect =4 acirc $ fH MeJtimes^QcYZbn[]O H QcOBjQ H QRJUY(QsO H [ NPbLbn[]jO HUacuteH MNPOF`BY H [ H MeJtimesbn[PhZ[]fcfcNihlmSe H MeJtimes^eJLhQVUiN H QVUPJ[SXocirc aagravejQcYcopy[]QVUPJUOacentmKaring

ocirc raquo aagravejumlaacute uacuteucirc thorn yuml uumlNaeuml eacutej THORN uacutefrac14 uumlOaLUcirc eacuteAgraveiquestsup1Aacutej THORN $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde auml thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afj

q centUWQR[]jYZfVmSe H MeJ7YJUbn[]O^ H JLhlZ [SX H MeJ7^eJLhQVUiN H QVUPJ afjaQcYcurrenLJLh[ YZQcObnJ H MeJJk H JLhONPf(centEgrave[]jO^NihYm aelig OumlD[SX H MeJ`QZaringN[PJaQcYkBJU^^OcircJLKfcNPbLQsO[` uumlN_WQ H MQ H YJkWKhZJUYZYQR[]OOeWNtildeJyO^Oaring

ocirc7raquo aagravejumlaacute uacuteucirc thorn yuml aduuml thorn UgraveUcircUacuteUuml yuml1 uuml thorn timesOslash yuml jaeuml eacuteHj THORN $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde auml thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afmacr]jMJUacute^JLhQVUiN H QVUPJOtilde[SXocirc cent aagravejQcY(bLfcNPYZYQcbLNPfdaring

ocirc7raquocent aagravejOcircaacute uacuteucirc thorn yuml a uuml thorn otilde)yumld huuml thorn otilde)yuml7 eacutejaeuml eacutej THORN af]jWMJLhZJ a2atildeshyszligaumlKszligYagravejQcY H MeJaumlbLjehlU~N H jehJ[SXQYacutea2atildeltszligaumlgtszligYagravej^MeJLhZJXiacute[PhZJSe H MeJOtilde^eJLhQVUiN H QVUPJ[SX H MeJgWM[]fRJOtildebnhQ H JLhQR[]O QsY H MeJordfXiacute[]fcfR[WiexclQcO[aring

ocirc raquo aagravejpoundaacute $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde aumlamp thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afzSj uacuteucirc thorn yuml aduuml thorn UgraveUcircUacuteUuml yuml uuml thorn timesOslash yuml uuml thorn otilde)yuml huuml thorn otilde)yuml eacutejaeuml eacutej THORN

^ ^~THORNUgrave2FEgraveOIgraveIcircIcirclt2EacuteltOacute Eacute0frac34ETH9Igrave8shyIgraveFEgraveEcirc+NtildeFETH3Ecirc+ltIgraveNtilde7==EacuteltEgrave7813Oacute14 ETHOEacute ETH9IgraveOacuteszligltOacuteshyEacuteOacuteAgrave+QIgraveFEumlEacuteAtilde=13ETH+ltIgrave5=KETHOEacuteshyEgravesup1euml5Oaelig[Ph^eJLh H [Tbn[]ZaringKj H J H MeJuUPJUfR[WbLQ H mUPJUb H [PhcopyeumleSWNtildeJMNUPJ H [yZ N`PJQ H NiKKEgraveJUNihyQcOH MeJhY HH WF[ ^e[]Z NPQcOaQcO H J[PhNPfcYiexcl[SX afzSjcentmJkWKhZJUYZYQcO[ H MeJZ NPY_XiacutejOb H QR[]OY[SX H MeJgUPJUfR[WbLQ H meumlQ^iexclJLhZJiexclWFJ H N`PJ H MeJ5[PJUOeJLhNPfbLNPYZJ5WiexclMeJLhZJ H MeJ^JUYZbnhQRK H [PhdYZaringNm ^eJLKEgraveJUO^ []OXiacuteJUN H jehZJUY5[]fR[PcentNPfsfVmN HH NPbMeJU^ H [ H MJtimeshJ[]QR[]OeumlNPO^eumlY[oZ Nm`^JLK=JUO^a[]O agrave^ JZOslash[W^eJUf$JUNPbdM^eJUYZbnhQRK H [PhIacuteNPYtimesNabn[]ZIacutecentQcON H QR[]OOacute[SXuXJUN H jhZJUYy[]fc[PcentNPfcfVmeumlN HH NPbMeJU^

uumlnyacutenthornnyumll13YSordmY_F

f $amp)(+-)013021+345627893lt=gt9A6CBH [ H MJOtildeJUP[]fVUBQsO[OslashhZJ[]QR[]OY_OumlcopytimesOslashKaagravejF[Ph_Ouml UgraveUacuteUuml aagravejaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejpoundaacuteAElig thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn timesOslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejszligiumlViumlViumlVszligagrave thorn timesOslash yumlaacute aagravejjuuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszligYagravejpoundaacuteAElig thorn UgraveUcircUacuteUuml yuml a2atildeltszligaumlgtszligagrave thorn UgraveUcircUacuteUuml yuml aagravejszligagrave thorn UgraveUcircUacuteUuml yumlcent aagravejszligiumlViumlViumlVszligagrave thorn UgraveUcircUacuteUuml yumlacirc aagravejjafi]j

WMJLhZJSaring agrave thorn(atilde yumlauml aacute 7aring thorn yuml5aelig thorn(atilde yumlauml a2atildeltszligaumlgtszligYagravej atilde auml WQ H Mpounda jOcircaacuteacircaVltjF[Pha Kf5 jiuml afh]j9J H jYuhY H bn[]ZOslashKj H J H MeJIacute^eJLhQVUiN H QVUPJOtilde[SXuuml thorn timesOslash yuml eFWFJgO^Oaring

aelig uuml thorn times Oslash yumlaelig agrave aacute aacuteccedilaumlegrave aelig thorn timesOslash yumlaelig agrave thorn times Oslash yumlauml a2atildeltszligaumlgtszligagrave thorn timesOslash yuml aagravejszligiumlViumlViumlVszligagrave thorn timesOslash yumlaacute aagravejj aelig agrave thorn timesOslash yumlaumlaelig agrave aagravej a s j J MNUPJOe[W H [bn[]ZOslashKj H J H MeJ ^eJLhdQVU~N H QUPJ [SXagrave thorn timesOslash yumlauml NPbLbn[Ph^QcO[ H [umlagrave^ JNiKK-fVm H MeJgMeJL[PhZJZigravefaumlNPO^WNtildeJy[PJ H aring

aelig agrave thorn timesOslash yumlaumlaelig agrave aacute $ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde auml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacutej THORN a fj

JLKfcNPbLQcO[ H MeJNtilde^eJLhdQVU~N H QUPJUY9[SX3agrave thorn timesOslash yumlauml WQ H M H MeJUQRhJkWKhZJUYZYZQc[]OYa fj9QcOa s jeSWFJ[Pcent H NPQsO H MJXiacute[]fcfR[WQcO[iexclJkBKhJUYZYZQR[]OX[Ph H MJF^e[]Z NPQcOaeligQcO H J[PhdNPf[SX H MeJ^eJLhQVUiN H QVUPJ[SX H MeJT^eJUYbnhQRK H [Ph uuml thorn times Oslash yuml aring

$ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde aumlacircaacute aacuteccedilaumlordfegrave -eacute thorn timesOslash yumlauml $ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde auml

aacuteccedilaumlordfegrave eacute thorn timesOslash yumlauml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacuteHj THORN a S jWMJLhZJSaring

eacute thorn timesOslash yumlauml aacute $ thorn yuml aelig thorn timesOslash yumlaelig agrave thorn timesOslash yumlauml a2atildeltszligaumlgtszligagrave thorn timesOslash yuml aagravejszligiumlViumlViumlVszligagrave thorn times Oslash yumlaacute aagravejj atilde auml a ]jMJIacuteJkWKhZJUYZYQR[]OwXiacute[Pha jyacuteaacute a Kf jiexclQcYbn[]ZOslashKj H JU^QsO H MeJaeligYZNSZOslashJordmZaringNPOOeJLhiexclWMQcfRJKNmBQsO[N HH JUO H Qc[]O H [ H MeJ`^QRhZJUb H QR[]O[SX H MeJ`Oe[PhlZaringNPfcopyUPJUb H [PheNPO^rWFJ H MBjY

uumlnyacutenthornnyumll13YSordmY_Fsup2

yenKbrvbarsect =4 acirc $ fmacr[Pcent H NPQsO H MeJg[PJUOeJLhNPfgJkBKhJUYZYZQR[]OXiacute[Ph H MeJauml^JLhQVUiN H QVUPJOtilde[SXocircOcircaagravejaring

ocirc raquo aagravejumlaacute uacuteucirc thorn yuml aduumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn times Oslash yuml uumlgtthorn otilde)yuml d hreguumlgtthorn otilde)yuml eacuteHjaeuml eacutej THORN aacuteccedilaumlordfegrave eacute thorn timesOslash yumlauml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacuteHj THORN acircccedilaumlordfegrave eacute thorn UgraveUcircUacuteUuml yumlauml uacuteucirc thorn yuml aelig thorn UgraveUcircUacuteUuml yumlauml aeuml eacutej THORN aacuteccedilaumlordfegrave -eacute thorn timesOslash yumlauml $ thorn yuml aelig aelig thorn

timesOslash yumlaumlaelig agrave atilde auml acircccedilaumlordfegrave eacute thorn UgraveUcircUacuteUuml yumlauml thorn yuml aelig aelig thorn

UgraveUcircUacuteUuml yumlaumlaelig agrave atilde auml a j^ ^ecirccopyEgraveEacuteshyIacuteIumlETH39shyIgrave8shyIgraveFEgraveEcirc+NtildeFETH3gt+QIgraveETHOEacute3iexclNtildeshyEgrave78QIcircETH9IgraveumlIgrave+EacuteltEumlETHshyETHEacuteshyOacuterIgrave5euml1ONtildeFETH32EacuteltOacuteEacute10wETH9Igrave Ntilde=KETH3gt+ltIgrave=EacuteshyOacuteshyETHEacute1EgraveMJ[P[]NPf[SX H MQsYampKNih H QcY H [aumlbn[]ZOslashK-j H J H MeJ(JkWKhZJUYZYZQc[]Oaelig[SX H MeJuUPJUfc[BbLQ H mUPJUb H [PheumlwWMQcbdMregZaringN`PJUY H MeJUacutebLjehYUPJJUP[]fVUPJOtildeNPYXiacuteNPY H NPYFKEgrave[]YZYZQRcent-fRJ H [WNih^Y(NZaringQcOQCZIacutejFZ[SX H MeJaeligbnhQ H JLhdQR[]Oumlocirc^KO`[Ph^eJLh H [ ^JU^jbnJ H MJyUPJUfR[WbLQ H mwUPJUb H [PhOtilde[SX H MeJaeligNPb H QVUPJbn[]O H []jehQXhZ[]Z H MeJF^eJLhQVUiN H QVUPJ0[SX H MeJNtildebnhQ H JLhQR[]OOeWFJMNUPJ H [5Z N`PJFNiKKEgraveJUNih H MeJUPJUfR[WbLQ H moUPJUb H [PhUacuteQcO H MJTfcNPY HH WNtilde[ ^e[]ZaringNPQcOaQcO H J[PhdNPfcY(centm JkWKhZJUYYZQcO[ H MeJZ NPYcentEgrave[]jO^NihYm QcO H J[PhNPfcY^FMQcYbLNPOaJUNPYZQcfVm centEgraveJauml^e[]OeJTjYZQcO[MJL[PhZJZigravefe-^[]ZaringNPQcOQcO H J[PhNPfcYbLNPOeumlNPfVWNmWYiexclcentEgraveJIacuteJkBKhJUYZYJU^ NPYcentEgrave[]jO^NihYm QcO H J[PhdNPfcY^gtiexcl[WFJUPJLheOXiacute[PhYZQCZOslashKfcQcbLQ H mSe-fcJ H jYbn[]OYZQc^eJLh H MeJaringbLNPYJUYgWMeJLhZJ H MeJUYJOslashfcNPY HH WNtilde[`QcO H J[PhdNPfcYOtildeNihZJJBjNPf H [currenLJLhZ[eOgraveWMQcbMaringMNiKKEgraveJUOYX[PhZOslash[]Y H hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhdQRK H [PhY^S5OH MN H bLNPYJSeNPbLbn[Ph^QsO[ H [ H MeJaeligQcOeJBjNPfcQ H m[SXvNPjbdMOgravemV G bdMOgraveWNih H currenSe H MeJXiacuteNPY H JUY H^eJUbnhJUNPYJa[SXocirc|aagravejOslashQcY [Pcent H NPQcOeJU^ XhZ[]Zecirca jOslashcentm bMe[B[]YZQcOF[beuml aacute ccedilyeacute WMQsbMfRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[aeligJUP[]fcj H Qc[]O JjN H QR[]OOaringaelig Yacuteaagravejaelig agrave aacuteFuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yuml uuml thorn otilde)yuml eacute aacuteccedilaumlordfegrave ETHeacute thorn timesOslash yumlauml aelig thorn timesOslash yumlauml acircccedilaumlordfegrave ETHeacute thorn UgraveUcircUacuteUuml yumlauml aelig thorn UgraveUcircUacuteUuml yumlauml lteacute a macr]jUcircX H MJ^eJUYZbnhQRK H [PhY$^e[TOe[ H ^eJLKEgraveJUO^times[]OregagravetaiacutehZJ[]QR[]OeV4QcO^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhYjeH MeJgiexcl hZJU^jbnJUY H [ H MeJordfXiacute[]fcfR[WQcO[aeligJkWKhZJUYZYQR[]OOaringaelig Yacuteaagravejaelig agrave aacuteigraveuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yumldn reguuml thorn otilde)yuml7 eacutelteacute a ]j

uumlnyacutenthornnyumll13YSordmY_FY

f $amp)(+-)013021+345627893lt=gt9A6CB JaeligbLNPO`O[ H QcbnJ H MN HH MeJtimes^eJLKEgraveJUO^eJUObnJauml[SX H MJIacute^eJUYZbnhdQRK H [PhY[]OwagraveeEgraveNPO^aY[ []OH MeJiexclbLjehYUPJJUP[]fcj H QR[]OOeQcO^jbnJUY0NP^^Q H QR[]ONPf H JLhlZaringYFQcO H MeJiexclJUP[]fcj H QR[]O JjN H QR[]O[SX H MJFNPb H QVUPJ(bn[]O H []jeh^SMeJNP^^Q H QR[]ONPf H JLhZaringYQX[]jO^IacuteQcOoa macr]jbLNPOOe[ H hZJUNP^QsfVmcentEgraveJtimes[Pcent H NPQcOeJU^ WMJUO H MeJOslash^mBONSZaringQcbLNPfampYZbMJZOslashJaringQcYOtildeQcO H hZ[W^jbnJU^eumlNX H JLh H MeJOslashbn[]ZaeligVKj H N H QR[]Oa[SX H MeJaelig^eJLhQVUiN H QVUPJaeligjYZQcO[o0jfcJLhVA9N[PhNPOF[PJIacuteJBjN H QR[]OY^MjYe-Q H QcY[SX=KhQZaringJOeJUbnJUYZYZQ H m H [TQcO H hZ[B^jbnJ H MeJ^mWONSZaringQsbLNPfeYZbMeJZaringJiexclQcO H [ H MeJbnhQ H JLhQR[]OQ H YZJUfVXiexclQcO[Phd^eJLh H [JUNPYZQsfVmsup1[PJ H H MeJUYJaNP^^Q H QR[]ONPf H JLhlZ Y QcO bLNPYJa[SXhJ[]QR[]OWV^eJLKEgraveJUO^JUO H ^JUYZbnhQRK H [PhdY^MNPO`BY H [ H MeJUYJeumlNP^^Q H QR[]ONPf H JLhlZaringYeWFJ`JUOYZjehZJH MeJordfXqNPY H JUY H JUP[]fcj H QR[]O [SX H MeJIacutebLjehYUPJ H [WNih^YiexclNZaringQcOQZIacutejZ [SX H MeJTbnhdQ H JLhQR[]OO^ JeumlbLNPO NPfcY[hZJZaringNihY` H MN H H MeJUPJUfR[BbLQ H m[SX H MeJ bn[]O H []jhQsOa macr]j bLNPOcentEgraveJ K=[]YQ H QVUPJ[PharingOeJ[]N H QVUPJS^|MQcYaeligNPO QcO H JLhZJUY H QcO[eumlKh[PK=JLh H mOacute[SXiexclhZJ[]QR[]OWVcent-NPYJU^NPb H QVUPJ bn[]O H []jehY^ q O H MeJ bn[]O H hNihYm H [ centEgrave[]jO^NihYmVcentNPYJU^7NPb H QVUPJ bn[]O H []jehdYehZJ[]Qc[]OWVcentNPYJU^7NPb H QVUPJbn[]O H []jehYOslashNPfcfR[WYZ[]ZOslashJKNih H Ytimes[SX H MeJ bLjehYUPJ H [YZMehQsO`WMQcfRJ[ H MeJLhY(JkWKNPO^O^FMjY H MeJaumlQcOQ H QsNPfcQVcurrenUN H QR[]O QcYfRJUYYbn[]OY H hNPQsOeJU^O^^ macr^iexclEacuteltIacuteETHNtildeFETHEacuteshyOacute Eacute10wETH9IgraveumlIgravesup1+shyEacuteltEumlETHETH3EacuteshyOacuterIgrave5euml1ONtildeFETH32EacuteltOacute0EacuteltEgravexIcircEacuteshyIacute5IgraveIgrave2shyNtildeshyIacuteEumlOgraveIgraveIcirclaquoEacute10C8ltIgraveIcircd=KEgrave(ETHEacuteltEgraveIcircMJu[P[]NPf[SX H MQsY$KNih H QsY H [timesbn[]ZaringKj H J H MeJiexclJUP[]fcj H QR[]O JjN H QR[]Oaring[SX H MeJNPb H QVUPJbn[]O H []jehOcircXiacute[Ph0Y[]ZOslashJ(JkeNSZOslashKfcJUY$[SX-hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhY^SgJ H jY H N`PJY[]ZaringJT^eJUYZbnhQcK H [PhY(^eJLKEgraveJUO^QsO[aelig[]O H MeJyZOslashJUNPOBSOtimesOslash [Phiexcl[]O H MeJgUiNihQcNPObnJjuFtimesOslash [SXH MeJOtildeJUP[]fUBQcOF[OslashhZJ[]QR[]OwOumlcopytimesOslashaagravejaringEFFG FFH SOtimesOslashKaagravejumlaacute iacute $ w$ thorn yuml Otilde atilde auml WiexclQ H M icirctimesOslashaacute w$ thorn yuml atilde aumlu centtimes Oslash aagravejsup1aacute iacute $ w$ thorn yuml aOtilde SOtimes OslashKaagravejj cent atilde auml^ macr^f^iumlordfcentltshyltAringordfregethIumlIgravecurrenRAringcentmicroETHfrac34IumlltlaquomicroRreglaquoNOacute]currenRlaquosectsup1jCcedilR RAringordfregL Rlaquo3shy JTbdMe[B[]YJ H MeJgXiacute[]fcfR[WQcO[OslashYJ H [SX^eJUYbnhQRK H [PhYaring

uuml thorn UgraveUcircUacuteUuml yuml ^e[BJUYOe[ H ^eJLKEgraveJUO^[]Owagraveuuml thorn timesOslash yuml aacutecntildeaLuOcenttimes Oslash j a zSjWMJLhZJampntildeaOgravejQsYNOslashKEgrave[]YZQ H QVUPJiexclXqjOb H QR[]O[SX$bLfcNPYYograve aj^MQcYiexclUPJUfR[WbLQ H mumlUPJUb H [PhOslashQcYaumlbn[]ZaringKj H JU^centmeumlhZJLKfcNPbLQsO[ H MeJ H JLhZaringYauml[SXga jgWQ H MH MeJUQch$JkBKhJUYZYZQR[]OY^ J hY H JkWKhZJUYZY H MeJ^eJUYZbnhQcK H [Ph|uuml thorn timesOslash yuml NPYyNTbn[]ZTcentQsON H QR[]O[SXamp^e[]ZaringNPQcOY(QcO H J[PhdNPfcYaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacutemiddot thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn timesOslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejjaacutecntildeoacute agrave thorn timesOslash yuml aagravejagrave thorn timesOslash yumlcent aagravejfocirc a i]j

uumlnyacutenthornnyumll13YSordmY_FPa

yenKbrvbarsect =4 acirc $ fzWMJLhZJSaring EFFG FFH agrave thorn timesOslash yuml aagravejpoundaacute w$ thorn yuml aOtildegta2atildeltszligaumlj SOtimes OslashaagravejjUcirccent atilde aumlagrave thorn timesOslash yumlcent aagravejpoundaacute w$ thorn yuml atilde auml a h]j O^ H MBjYaring aelig thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacuteacircaOtildeKa2atildeshyszligaumlFj S timesOslash aagravejjUcirccentaelig thorn timesOslash yumlcent a2atildeshyszligaumlKszligYagravej|aacute f ad s j Y5XiacuteNihaumlNPY H MeJOslash^e[]Z NPQcO`QsO H J[PhNPfsYUacute[SX H MeJOslash^eJLhQVUiN H QVUPJaelig[SX H MJXqjOb H QR[]OY aelig thorn timesOslash yumlaumlNihZJaumlbn[]ObnJLhOeJU^OeFWFJauml[Pcent H NPQsOOaringEFFFG FFFH w5$ thorn yuml frac14ltotildeouml $_divideoslashfrac14 atilde aumlordmaacute frac14ltugrave $frac14 w$ thorn yuml aOtildeKa2atildeshyszligaumlFj SOtimesOslashKaagravejj atilde aumlaacute sw5$ thorn yuml frac14ltotilde ouml $_divideacircfrac14 atilde aumlordmaacute s adfjMJ H JLhZaringY eacute thorn timesOslash yumlauml NPfcY[aringMNUPJ H [ cent=Jaumlbn[]ZaringKj H JU^OeNPO^tWNtildeJg[PJ H aringEFFFG FFFH eacute thorn

timesOslash yuml aacute w$ thorn yuml uacute ouml $_divideacircntilde raquo7ucirc uacute ouml $_divideoslashuacute ouml $_divideacircyacuteuuml atilde aumlaacutecntilde raquo aLu centtimesOslash jeacute thorn timesOslash yumlcent aacute w$ thorn yumlBthorn uacute ouml $_divideoslashthorn uacute ouml $_divideacirc yuml acirc ntilde raquo ucirc uacute ouml $_divideoslashuacute ouml $_divideacirc uuml atilde aumlregaacute u centtimes Oslash ntilde raquo aLu centtimes Oslash j

G QsObnJ H MeJOslash^e[]Z NPQcO`QsO H J[PhNPfsYiexcl[SX frac14ltotildeouml $ordfdivideoslashfrac14 NPO^ frac14ltotildeouml $_divideacircfrac14 NihZJaeligJBjNPf H [currenLJLhZ[poundadfjeWFJOtildebLNPO ^QRhZJUb H fVm bn[]ZOslashKj H J H MeJiexclUPJUfR[WbLQ H mregUPJUb H [Ph[SX H MeJOtildeNPb H QVUPJTbn[]O H []jehuXiacutehZ[]Za macr]jNPO^WNtildeJyO^Oaringaelig Yacuteaagravejaelig agrave aacuteuumlgtthorn timesOslash yuml uumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn otilde)yuml dacute uumlgtthorn otilde)yuml eacutentilde raquo aLu centtimes Oslash jaaOtilde SOtimesOslashj cent u centtimesOslash jcedilQeacute ad j5Otad jeOgraveWFJbLNPOaringhJZaringNihY` H MeJ(KhZJUYJUObnJ[SX H MJNP^^Q H QR[]ONPf H JLhlZntilde raquo aLuOcenttimesOslash jaaOtilde SOtimesOslashj cent u centtimesOslash jeacuteacirc^^ macr^ ^iumlordfcentltshyltAringordfregethIumlIgravecurrenRAringcentmicroETHfrac34IumlltlaquomicroRreglaquoNOacute]currenRlaquosectsup1jpoundn Rlaquo JTbdMe[B[]YJ H MeJgXiacute[]fcfR[WQcO[OslashYJ H [SX^eJUYbnhQRK H [PhYaring uuml thorn UgraveUcircUacuteUuml yuml ^e[BJUYOe[ H ^eJLKEgraveJUO^[]Owagraveuuml thorn timesOslash yuml aacutecntildeaOtilde S timesOslash aagravejj adS]j

uumlnyacutenthornnyumll13YSordmY_FPo

fi $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJampntildeaOgravejQsYNOslashKEgrave[]YZQ H QVUPJiexclXqjOb H QR[]O[SX$bLfcNPYYograve aj^ YKhZJUWQR[]jYZfVmSe H MeJlaquoUPJUfR[WbLQ H mfrac34UPJUb H [PhTQcYbn[]ZOslashKj H JU^eumlcentmhZJLKfsNPbLQcO[ H MJ H JLhZaringY[SXua jcopyWQ H M H MeJUQRh(JkWKhZJUYZYZQc[]OY^FMeJauml^JUYZbnhQRK H [Ph uuml thorn timesOslash yuml QcY(JkWKhZJUYZYJU^centmKaringuuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacutei thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn times Oslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejjaacutentildeoacuteOtilde agrave thorn timesOslash yuml aagravejagrave thorn timesOslash yumlcent aagravejfocirc adj

WMJLhZJSaring EFFG FFH agrave thorn timesOslash yuml aagravejpoundaacute w5$ thorn yuml Otildegta2atildeltszligaumlj atilde aumlagrave thorn timesOslash yumlcent aagravejpoundaacute w5$ thorn yuml atilde auml adSmacr]j O^ Y[aring aelig thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejOcircaacuteegraveOtildegta2atildeltszligaumljaelig thorn timesOslash yumlcent a2atildeshyszligaumlKszligYagravejOcircaacute f adS]jG QsObnJ H MeJordfXiacutejOb H QR[]OY aelig thorn timesOslash yuml NPO^ aelig thorn timesOslash yumlcent ^e[aringO[ H ^eJLKEgraveJUO^[]OtagraveeFWFJTMNUPJSaringEFFFG FFFH w$ thorn yuml frac14ltotilde5ouml $ordfdivideoslashfrac14 atilde aumlregaacute s

w$ thorn yuml frac14ltotilde5ouml $ordfdivideacircfrac14 atilde aumlregaacute s ad]zSjMJ H JLhZaringY eacute thorn timesOslash yumlauml NihZJ H MJUObn[]ZOslashKj H JU^eNPO^WFJauml[Pcent H NPQcOOaringEFFFG FFFH eacute thorn

timesOslash yuml aacute w$ thorn yuml thorn uacute ouml $ordfdivideacircntilde raquo7ucirc Otilde uacute ouml $ordfdivideoslashuacute ouml $ordfdivideacircyacuteuuml atilde aumlaacute thorn iacute $ w$ thorn yuml ntilde raquo aOtilde SOtimesOslashj atilde aumleacute thorn timesOslash yumlcent aacute w$ thorn yuml uacute ouml $ordfdivideoslashthorn uacute ouml $_divideacirc yuml acirc ntilde raquo ucirc Otilde uacute ouml $ordfdivideoslashuacute ouml $ordfdivideacirc uuml atilde aumlordmaacute ugrave $iacute $ w$ thorn yuml ntilde raquo aOtilde SOtimesOslashj atilde auml JUacutebLNPO H MeJUObn[]ZOslashKj H JUacute^QRhZJUb H fm H MJ_UPJUfR[WbLQ H mUPJUb H [Ph[SX H MeJUacuteNPb H QVUPJOtildebn[]O H []jhXiacutehZ[]Zigravea macr]j(NPO^WNtildeJyO^Oaringaelig Yacuteaagravejaelig agrave aacuteuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yumldacute uuml thorn otilde)yuml eacute aOtilde SOtimesOslashjicircFtimesOslash $ thorn yuml ntilderaquo)aOtilde SOtimesOslashjmiddotQeacute adSi]j

5O H MeJtimesKNih H QsbLjfcNihiexclbLNPYZJIacute[SXIcircntildeaOgravejuaacuteOslashScenteKWFJtimesMNUPJnntilde raquo aOgravejcopyaacute NPO^ H MeJLhZJXiacute[PhZJSeH MeJiexclNP^^Q H QR[]ONPf H JLhlZaringYebn[]ZaringQcO[gXiacutehZ[]Z H MeJ UiNihQcN H QR[]O [SX H MeJiexcl^eJUYbnhQRK H [PhYOcircWQ H MagraveeNihJJjNPf H [gcurrenLJLhZ[^[WNtildeJUPJLheWQsOordmZOslash[]Y H bLNPYZJUYe H MQsYyNP^^Q H Qc[]ONPf H JLhlZoslashQsYyOe[ H

uumlnyacutenthornnyumll13YSordmY_FPy

yenKbrvbarsect =4 acirc $ fhcurrenLJLhZ[^ not [PhaeligJkeNSZOslashKfRJSeampQVXUgraventildea]jaacute yuml Wiexcl cent eshyWiexclQ H MN`KEgrave[]YZQ H QVUPJ bn[]OY H NPO H eQWFJMNUPJSaring

ccedil aacuteFuumlgtthorn timesOslash yuml uumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn otilde)yuml uumlgtthorn otilde)yuml eacute aOtilde SOtimesOslashjicircFtimesOslash $ thorn yuml aOtilde SOtimesOslashj IcircAumlaOtilde SOtimesOslashj cent adSh]j^ ^~IacuteFEumlIgraveFIacute5IgraveFOacuteETHNtildeFETHEacuteshyOacuteAgraven13ETH9 ETH9IgraveumlEumlIgravesup1+ltIgraveFEumltIcircIgraveFETHbIacute5IgraveFETH9shyEacute18 YXqNih0NPY H MeJOBjFZOslashJLhdQcbLNPfeQZOslashKfcJZOslashJUO H N H Qc[]OtimesQsYybn[]ObnJLhOeJU^eSWNtildeJbLNPOZOslash[W^eJUf H MeJNPb H QVUPJaumlbn[]O H []jeh_WQ H MNPOJkBK-fcQcbLQ H KNihNSZOslashJ H JLhdQVcurrenUN H QR[]ObaN[PhNPO[]QcNPOXiacute[PhlZtimesjfcN~VH QR[]OKjaelig[Ph NPO QCZOslashKfcQcbLQ H []OeJraNtildejfRJLhQsNPO Xiacute[PhlZIacutejfcN H QR[]Ogtj^ G JLJra G J H MQcNPOOe5fhSh s jNPO^egraveaJUfcQcO[PJ HH J NPO^ _a[]O H N[]ON H e sSs fjX[PhaeligNPOQcO H JLhZJUY H QcO[eumlbn[]ZOslashKNihdQcY[]OcentEgraveJ H WFJLJUO H MeJ H WNtilde[ZOslashJ H M[B^Y^ iexclO[ H MeJLhOtildeQcO H JLhJUY H QcO[aringhJUBQRJW[]O H MeJtimes^Q=JLhJUO HZOslashJ H M[B^Y[SX$NPb H QVUPJIacutebn[]O H []jehQcY(Kh[PK=[]YZJU^ QcOpoundaw_[]O H N[]ON H J H NPfd^Ve sSs fj^iexclJLhZJSeWFJaumljYJ H MeJaumlfRJUPJUfYZJ H ZOslashJ H Me[W^ NiKKhZ[]NPbdM KhZ[PKEgrave[]YJU^centm q YMeJLhNPO^G J H MQcNPOa q YZMJLh NPO^ G J H MQcNPOe fhSiSi]j centj H hJ[]QR[]OWVcentNPYJU^ NPb H QVUPJeumlbn[]O H []jehdYZaringNmNPfcYZ[ centEgraveJQZOslashKfcJZOslashJUO H JU^7centmjYQcO[`XNtildeV4YK-fcQcOeJUYXiacute[PhaeligNPOJkWKfcQsbLQ H K-NihNSZOslashJnVH JLhQcurrenUN H QR[]O ayhZJUbLQc[]Y[ NPO^XNihfcNPj^Oe sSs fj^shyMJ`PJmeumlQc^eJUN [SX H MeJOslashfRJUPJUfampYJ HZOslashJ H M[B^QsY H [ QcO H hZ[W^jbnJaumlNPO`NPjkWQsfcQcNihYmXiacutejOb H QR[]O l a2atildeltszligaumlgtszligYagravejYZjbdM H MN H YacuteaagravejQcY H MJtcurrenLJLhZ[OacutefRJUPJUfYJ H [SX l ^OcircMJXiacutejOb H QR[]O l QsYaelig[SX H JUO bMe[]YJUO H [centEgraveJ H MeJYZQ[]OeJU^ ^QcY H NPObnJordfXiacutejOb H QR[]O[SXQYacuteaagraveje-NPO^ QsY H MeJUObdMNihNPb H JLhQVcurrenLJU^acentmKaring

YacuteaagravejOcircaacute a2atildeltszligaumljPO l a2atildeshyszligaumlKszligYagravejaacute s a2 s jMQcYOcirc0jfRJLhQcNPOordmXiacute[PhlZtimesjfcN H QR[]O KhZJUYZJUO H YFYJUPJLhNPfEgraveNP^UiNPO H N[PJUYga G J H MQcNPOOeKfhShS]j^not QRhY H fVmSe H MeJabLjehYUPJ l ZaringNmcenthJUN`[PhoZOslashJLhY[PJNPY H MJXiacutejOb H QR[]O l JUP[]fUPJUYeNPO^ H [PK=[]fc[S[]QcbLNPfbdMNPO[PJUYFNihZJ H MBjY$JUNPYZQsfVmOslashMNPO^fRJU^^ G JUbn[]O^fVmSe H MJJUP[]fVUWQcO[XqjOb H QR[]O l a2atildeshyszligaumlKszligYagravejNPfVWNmWY(hZJZaringNPQcOY(NlaquoXiacutejOb H QR[]O NPfcfR[WQcO[timesJltz bLQRJUO H OBjFZOslashJLhVQcbLNPfFYZbdMeJZOslashJUY^OcircMQRh^fVmSe H MeJ[PJL[]ZOslashJ H hQcb KhZ[PKEgraveJLh H QcJUYT[SX H MeJ bLjehYUPJSe$fcQV`PJ H MeJbLjehlU~N H jehJ NPO^ H MeJOslashOe[PhlZ NPfshyUPJUb H [PhordfJUfs^eacute e=bLNPO centEgraveJIacuteJUY H QZaringN H JU^euml^QRhZJUb H fmXiacutehZ[]Z H MeJTfcJUPJUfgYJ H XqjOb H QR[]Oaring aacute V ucirc l l uuml NPO^ eacuteecircaacute l l a2FfjMJJUP[]fsj H QR[]O JBjN H QR[]O H MeJUO centEgraveJUbn[]ZOslashJUYaringaelig l aagravejaelig agrave aacuteegraveccedilacute l a2 jMJregUPJUfR[WbLQ H msup1XiacutejOb H QR[]OxccedilEQcYIacutebn[]ZaringKj H JU^7[]OfVm[]O H MeJbLjehYUPJYacuteaagravejaumlcent-j H WFJbLNPO Jk H JUO^ Q H YFJkBKhZJUYZYZQR[]O H [ H MeJiexclWMe[]fRJUacuteQZaringN[PJOtilde^e[]Z NPQcOoOumlordf^[OslashQZOslashKfRJZaringJUO HH MeJIacutefRJUPJUf9YJ H ZOslashJ H Me[W^OeY[]fsj H QR[]OYuZtimesjY H centEgraveJgXiacute[]jO^ H [ bLQRhbLjZyUPJUO H Kh[PcentfRJZaringY

uumlnyacutenthornnyumll13YSordmY_FP

s $amp)(+-)013021+345627893lt=gt9A6CBbn[]ZaringQsO[ Xh[]Z H MeJpoundXqNPb HH MN H`H MeJYZQV[]OeJU^ ^QcY H NPObnJumlXqjOb H Qc[]O l QcYaOe[ H NY[]fsj H QR[]O[SX H MeJyiexcl a2 jeEgraveYJLJa []ZOslashJUYNPO^ not NPjF[PJLhNPYe sSsSs jyacuteXiacute[Phiexcl^J H NPQcfcY^5Oaelig[]jehWF[PhY`gte H MJuXiacutejOb H QR[]O l QcYamphZJUQsOQ H QcNPfcQcurrenLJU^TY[ H MN H Q H hZJZaringNPQcOYampNOtilde^QsY H NPObnJXqjOb H QR[]OenYZJLJ5aq jecentEgraveJLh H NPO^gcOtilde[PhdOeKhZ[PcentY H e sSs fJLcenthZJUjFUPJSe sSsSs jOXiacute[Ph^J H NPQcfcY[]O H MJOtildehZJUQcOQ H QsNPfcQVcurrenUN H QR[]O JBjN H QR[]OO^5Oeuml[Ph^eJLh H [QCZOslashKhZ[UPJaringOjFZaringJLhQcbLNPfJltz bLQRJUObmSeOWFJaringbn[]ZOslashKj H J H MeJOslashJjN H QR[]O[]O NIacuteONihhZ[Wcent-NPO^aringJUObLfc[]YZQcO[ H MJiexclfRJUPJUf s [SX H MeJUacutefRJUPJUf-YJ H XqjOb H Qc[]OO^ JUacuteNPfcY[jYZJZtimesjf H QRhZJUYZ[]fcj H QR[]O H JUbdMOQBjeJUYcentmZaringN`BQsO[ H MeJFNPb H QVUPJ(bn[]O H []jh$JUP[]fVUPJcopyhY H[]ONOslashfc[W hZJUYZ[]fcj H QR[]O QZ N[PJS^FMeJordfONPfbn[]O H []jeh[Pcent H NPQcOeJU^Xiacute[Ph H MQcYhJU^jbnJU^QZ N[PJaumlQcY H MeJUOjYJU^ NPYNPOQsOQ H QcNPfEgravebLjehYUPJordfXiacute[Ph H MJOtildehZJUNPfgYZQVcurrenLJaumlQCZaringN[PJS^

EparaacuteAgravegtmicrosup1acuteIKJcedilJT2MgtI MraquowMgtmicrosup1MAgravegtacuteIltacuteMgtPltAtilde iquest acuteAgravegtT2MKIshyAtildeAcirccedilAtildeacuteNicircMgtI cedilAEligMgtmicroOcircacuteOgraveJTCJT13MKI sup2OcircacuteJordfsacuteacuteI Jfrac14ltacutegcedilFLT2cedilIshyROgraveacuteAtilderaquoAMLBqoLacute13AtildeR]cedilsup32acute GmicrobcedilAgraveacuteAtilde5O H MQcYUacuteYJUb H QR[]OOeOWFJOslashKhZ[PKEgrave[]YJaeligY[]ZOslashJOslashhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhY H [YJ[iVZOslashJUO H M[]ZOslash[S[PJUOeJL[]jYiexclhZJ[]QR[]OYiexcl[]Ofrac34[PhZJmBYbLNPfRJIacuteQZ N[PJUY^gtMJUYJIacute^eJUYbnhQRK H [PhYiexclNihZJcentNPYZJU^[]O H MJZaringQcOQZaringQVcurrenUN H QR[]O [SX H MeJU~NihdQcNPObnJUYauml[SX H MJ H WF[`bn[]OYZQc^eJLhZJU^OacutehZJnV[]QR[]OY^ 5O H MJ7YJUbn[]O^ K-Nih H e H MJQZOslashKEgrave[Ph H NPObnJOacute[SX H MeJNP^^Q H QR[]ONPf H JLhZaringYebn[]ZaringQsO[XiacutehZ[]Z H MeJiexclU~NihdQcN H QR[]O [SX H MeJUacute^eJUYZbnhQcK H [PhYWQ H M H MeJiexclJUP[]fUBQcOF[IacutehZJ[]Qc[]OYeQcY9MQV[]MfcQ[]M H JU^O^ G QCZOslashKfRJJkWNSZaringKfRJUY9YMe[W H MeJ0QZOslashKEgrave[Ph H NPObnJ$[SX H MeJUYJ0NP^^Q H QR[]ONPfH JLhlZ Y H [ NPbMQRJUPJ H MeJOtildeJkWKEgraveJUb H JU^aYJ[]ZaringJUO H N H QR[]O^^f^laquoIgraveIcirc=KEgrave(FETHOEacuteltEgraveIcircEcircgtNtildeltIcircIgrave8 EacuteshyOacute ETH9Igravek+NtildeshyEgrave13NtildeshyOacute=KIgraveC0EacuteshyEgraveh4ltEgraveOIgravesup1QIcirc=NtildeltEumlOgraveIgrave2Iacute Ntilde4ltIgraveIcircMJQcO H JUOYZQ H mregXiacute[Phu[PhZJmWYZbLNPfRJaumlQZ N[PJUY(QcYhZJLKhZJUYZJUO H JU^centm NlaquoXqjOb H QR[]OOtilderegaringOgraveOumlOtilde 13ordfcentwntilde Otilde 13laquo^ JaKhZ[PKEgrave[]YJ H [bZaringQcOQZaringQVcurrenLJ H MeJU~NihdQcNPObnJUYOslash[SX H MeJ H WF[bn[]OYZQc^WVJLhZJU^ Me[]Zaring[S[PJUOeJL[]jY hZJ[]Qc[]OY QcO [Ph^eJLh H [YJ[]ZOslashJUO H H MeJZ^uMJXiacute[]fcfR[WQcO[^eJUYbnhQRK H [PhY(NihJaumlYZj[S[PJUY H JU^OaringEFG FH uuml thorn UgraveUacuteUuml yuml aacutecntildeaLuOcentUgraveUacuteUuml juuml thorn times Oslash yuml aacutecntildeaLuOcenttimes Oslash juuml thorn otilde)yuml aacutecb a2Ograve]jWMJLhZJjntildea]jQcYNOslashKEgrave[]YZQ H QVUPJordfXiacutejOb H QR[]O [SX$bLfcNPYZYEacuteograve aOtilde 13yj(NPO^kb`NOslashKEgrave[]YZQ H QUPJaumlbn[]OWVY H NPO H ^MJTbn[]ZOslashKj H N H Qc[]O[SX H MeJUPJUfR[BbLQ H mUPJUb H [PhaumlQcY^JU^jbnJU^tXiacutehZ[]Z H MeJIacutebn[]ZOslashK-j H N~VH QR[]O`[SX H MeJaelig^eJLhQVUiN H QVUPJIacute[SX H MeJtimesbnhdQ H JLhQR[]Opoundocirc7^eJUPJUfR[PKEgraveJU^ QcO G JUb^^ macr^feWMQsbMfRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[aeligJUP[]fcj H Qc[]O JjN H QR[]OOaringaelig Yacuteaagravejaelig agrave aacuteethntildeaLu centtimesOslash j ntildeaLu centUgraveUcircUacuteUuml jb ntilderaquo)aLu centtimesOslash jaaOtilde S timesOslash j cent u centtimesOslash j ntilde raquo aLu centUgraveUcircUacuteUuml jaaOtilde SUgraveUcircUacuteUumlj cent u centUgraveUacuteUuml jIcirc13eacute a2Sj

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ fMJiexclYZQcOF[]fRJiexclK-NihNSZOslashJ H JLhcopyWNtildeJOtildeOeJLJU^ H [aringNP^~ZjY H QcY H MeJUacuteYYZOslash[B[ H MQcO[timesKNihNSZOslashJ H JLhb^5OregXqNPb H e H MeJ X [W ethb MNPY H MeJiexclKhZ[PKEgraveJLh H QRJUYNtilde[SXYYZOslash[B[ H MQcOF[IacutecentEgraveJUbLNPjYJOtildeQ H ZOslash[UPJUYH MeJUacutebLjehYUPJUacuteQcO H MeJUacute^QRhZJUb H QR[]O [SX9Q H YfRJUOF[ H MregXqjOb H QR[]ONPfQa G Qs^^QBQeJ H NPfd^VeOfhShS]j^^ ^~IacuteEacuteltEgraveETHOgraveNtildeltOacute=KIgravefrac34Eacute10frac34ETH9Igrave Ntilde8182ETHEacuteshyOacuteNtildeshyEumlETHIgraveFEgraveOIacute5Icirc5O[Ph^JLh H [7JU~NPfcjN H J H MeJ QZOslashKEgrave[Ph H NPObnJ`[SX H MeJ`NP^^Q H QR[]ONPf H JLhlZaringYX[Ph H MeJYJ[]ZaringJUO H N H QR[]OeuWNtildeJpoundZaringN`PJ H MJeumlNPb H QUPJbn[]O H []jehaJUP[]fVUPJ H MehZ[]j[]M H MJ iexcla2SjeQsObLfcj^QsO[ H MeJaumlNP^^Q H QR[]ONPf H JLhlZaringY^ q O H MeJUacute[ H MeJLhMNPO^OeWNtildeJaumlNPfcYZ[ZaringN`PJQ H JUP[]fUPJfrac34WQ H M H MeJwXiacute[]fcfR[WQcO[ WhZ[]OF[JUP[]fcj H QR[]OJjN H Qc[]O H MN H ^e[JUY Oe[ HQcObLfcj^eJ H MeJaumlNP^^Q H QR[]ONPf H JLhlZaringYaringaelig Yacuteaagravejaelig agrave aacuteethntildeaLu centtimesOslash j ntildeaLu centUgraveUcircUacuteUuml j`b Qeacute iuml a2Ogravemacr]jnot [Ph H MeJOtildeJkWKEgraveJLhQZOslashJUO H YeWFJ H N`PJntildeaOgravejOcircaacute ILK KafcediliexclOgravejWMQsbM[]QVUPJUYntilde raquo aOgravejaacutefdOafcedil]j(NPO^ H MeJgUiNPfcjeJOtilde[SX H MeJaumlKNihdNSZOslashJ H JLhEacutebaQcY(YJ HH [frac34f s ^OcirckBKEgraveJLhQCZOslashJUO H Y NihZJ KEgraveJLhYX[PhZOslashJU^ []O NYmWO H MJ H Qcb`QCZaringN[PJumlZaringNP^eJeumljeK [SXTNPO

Me[]Zaring[S[PJUOeJL[]jYYYBjNihZJ[SX9QcO H JUOYZQ H mwf s []O NIacutecentNPbl`[PhZ[]jO^ [SX9QcO H JUOYZQ H mtf s ^ []NPjYZYZQsNPOOe[]QcYJUacute[SXUiNihQcNPObnJ s QcY(NP^^eJU^ H [ H MQcY(YmWO H MJ H QcbOtildeQZaringN[PJS^MeJOtildeJUP[]fcj H QR[]Oa[SX H MeJTNPb H QVUPJtimesbn[]O H []jehUacute^ehQUPJUOcentmpounda2SjQcYu[]QVUPJUO`QcO not QV[^ WMQcfRJ H MeJ[]OeJ`[Pcent H NPQcOeJU^ jYZQcO[ a2Ogravemacr]j QcYordm[]QUPJUO QcO not QV[^ ^ J bLNPO hZJZaringNihY`H MN H WMeJUO H MeJoiexclQsObLfcj^eJUY H MJ NP^^Q H QR[]ONPf H JLhZaringYe H MJ YYBjNihZJ QcYgWFJUfcfYJ[]ZaringJUO H JU^acirca not QV[^ ^bjeuWMeJLhJUNPYWiexclMeJUO H MeJ |iexclD^e[BJUY Oe[ H QsObLfcj^eJ H MeJUYJNP^^Q H QR[]ONPf H JLhZaringYwWFJ7[Pcent H NPQcO N bLQRhbLfcJOacuteQcOY H JUNP^ [SX H MeJ7JkBKEgraveJUb H JU^YYBjNihZJa not QV[^ ^bj^MeJUYJhZJUYZjf H YNtildebLNPOcentEgraveJcentEgraveJ HH JLh(jO^eJLhY H [[W^WMQcfRJNPONPfmcurrenUQcOF[ H MeJiexclUPJUfR[WbLQ H mUPJUb H [PhYUacute[SXNtildeJUNPbMJUP[]fsj H QR[]O JjN H QR[]OO^ Jaringbn[]ZOslashKNihZJ H MeJ H WF[ JUP[]fcj H QR[]OYiexcl[SXH MeJlaquoUPJUfR[WbLQ H mwUPJUb H [PhYauml^jehQcO[ H MeJaeligKhZ[PKN[]N H Qc[]Oeuml[SX H MeJOslashbLjehYUPJwa2WiexclQ H Me[]j HH MeJcentEgrave[]jO^NihYmVcent-NPYJU^ H JLhlZb j^MeJ(JUP[]fcj H Qc[]OOslash[SX H MeJNSZOslashKfsQ H j^eJ[SX H MeJyacuteUPJUfR[Wb|VQ H mregUPJUb H [Ph[SXQ|iexcla2SjFQsY[]QUPJUO QcO not Q[aqYj^ ^ ^OecurrenJSe Xfrac34]eWMQsfRJ H MeJOtildeNSZOslashK-fcQ H j^eJ[SX H MeJUPJUfR[WbLQ H mwUPJUb H [PhOtilde[SX||iexclacirca2Ogravemacr]jiexclQcY []QUPJUO`QcO not QV[aqYj^ ^ ^OecurrenJSe Xfrac34]^ JOslashbLNPO[PcentYZJLhYUPJ H MN HaringH MeJUPJUfc[BbLQ H msup1WiexclQ H Me[]j HaeligH MeJNP^^Q H QR[]ONPf H JLhlZaringY QcYaeligNbn[]OY H NPO HWMJLhZJ [PcentUWQR[]jYfVm H MJaQZaringN[PJfrac34XJUN H jehJUY ^e[OacuteO[ H NiKKEgraveJUNih^ q O H MeJabn[]O H hNihYmH MeJaumlQCZaringN[PJordfXJUN H jhZJUYuWFJUfcfNiKKEgraveJUNihQcO H MeJordfUPJUfR[WbLQ H m QcObLfcj^QcOF[ H MeJaumlNP^^Q H QR[]ONPfH JLhlZ Yya not QV[aqYj^ ^ ^OecurrenJSe Xfrac34jiexclNPO^ Y[ H MeJaumlYljNihJTbLNPO centEgraveJordfWNtildeJUfsfYJ[]ZOslashJUO H JU^O^MeJyKhZJUWQR[]jYEgravehJUYZjf H YgYMe[W H MN H Q H QcY[SXeKhQCZOslashJ$OeJUbnJUYZYZQ H m H [ H N`PJQcO H [NPb|Vbn[]jO H0H MJNP^^Q H QR[]ONPf H JLhZaringYeWbn[]ZaringQcO[XhZ[]Z hZJ[]QR[]OeV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhYeQcO[Phd^eJLh H [ hZJUNPbdMaN H hdjeJgZaringQcOQCZIacutejFZ [SX H MeJaumlbnhQ H JLhdQR[]OO^

uumlnyacutenthornnyumll13YSordmY_F

S $amp)(+-)013021+345627893lt=gt9A6CBEIumlparaacuteAgravegtmicrosup1acuteIKJcedilJT2MgtI MraquoordfAEligMgtsup32MLwMKmicrobMgtAgraveacuteIshyacuteMgtPltAtilde iquest acuteAgraveKT13MKIshyAtildeAcirclaquocedilFAtildeacuteNicircMKIJfrac14ltacutepoundAEligMAringcedilFLT2cedilIltR]acuteHcedilJLTOcircfrac12sup3T13ROgravecedilJT2MgtI JMAgraverltcedilFR]acuteacuteJacuteR]JT2MgtIicircT2ItT2NQacuteM paraacutePshyacuteIltR]acuteAtildeMQcY0K-Nih H ^eJUNPfcYWQ H M H MeJOtildeYJ[]ZOslashJUO H N H QR[]O [SXMe[]ZOslash[S[PJUOeJL[]jY(hZJ[]QR[]OYQcOZtimesjfuVH QcYZK=JUb H hdNPfQZaringN[PJUY^ YNPOaJkWNSZaringKfRJSeWFJIacuteYZMe[W H MN HiexclH MeJTbn[UiNihQcNPObnJZaringN H hQVkbLNPOacent=JIacuteNUPJLhYm KEgrave[WFJLhYXqjf H [B[]f H [ YJ[]ZOslashJUO H Me[]Zaring[S[PJUOeJL[]jYbn[]fR[PhiexclhJ[]QR[]OY^F5OXqNPb H e H MeJtimes^eJ H JLhlZaringQsONPO H [SX H MeJTbn[U~NihQsNPObnJZ N H hQkKhZ[UPJUY H [ centEgraveJIacuteNaringhJUfRJU~NPO Hbn[]fR[PhaelighZJ[]Qc[]O7M[]ZOslash[S[PJUOeJUQ H msup1ZOslashJUNPYZjhZJZOslashJUO H a G NPO[SWQcOeJ NPO^r[PhdOeJSeufhShSi]j^_`QcOQZ QVcurrenUQcO[ H MQcYjNPO H Q H m ZOslashJUNPOY H MN H WFJwWNPO HH [^eJUbnhZJUNPYJ H MeJeumlbn[]ZaeligVKfcJkWQ H m[SXUacuteNeumlhZJ[]QR[]Oa hdNmJ H NPfd^Ve sSs fampN H JUjke sSsSs j^MQcY H [B[]fuZaringNmKhdNPb H QcbLNPfcfVm cent=JaumljYJU^X[Ph XiacuteNPbnJtimes^eJ H JUb H QR[]OaQsO QZaringN[PJaumlYJBjeJUObnJUY^macr^f^laquoIgraveIcirc=KEgrave(FETHOEacuteltEgraveIcircEcircgtNtildeltIcircIgrave8 EacuteshyOacute ETH9IgraveAgrave=Eacute3+NtildeshyEgrave13NtildeshyOacute=KIgravefrac34Iacute_NtildeFETHEgraveEcirc20EacuteshyEgrave=EacuteshyEumlEacuteshyEgrave2Iacute Ntilde4ltIgraveIcircMJQcO H JUOYZQ H mxXiacute[Ph bn[]fR[Ph QCZaringN[PJUYaringQcYOslashhJLKhZJUYJUO H JU^centm7NpoundXiacutejOb H QR[]OOtildeegravearingOumlOtilde 13ordfcent ntilde Otilde 13 WMeJLhZJ Otilde aacute Otilde szligYOtildeOgravecentszligYOtilde13ordf ^iexclXm NPONPfR[S[SmAumlWQ H M H MeJOacuteY H j^Fm Xiacute[Ph[PhZJmWYZbLNPfRJFQZaringN[PJUYeWNtildeJZaringQcOQCZaringQVcurrenLJ H MeJNtilde^J H JLhlZaringQcONPO H [SX H MeJFbn[UiNihQcNPObnJcopyZaringN H hQVk[SX H MeJTbn[]OYQc^eJLhZJU^hZJ[]Qc[]OY^ J5ZaringNmaringNPYYZjFZOslashJ H MN H JUNPbdM bn[]fR[PhFhZJ[]QR[]Oacute13 QsYOcircZOslash[W^eJUfcfRJU^OslashcentmOslashNg[]NPjYYZQcNPO^QsY H hQRcentj H QR[]Oeuml[SXyacuteZOslashJUNPOiexclSegraveaacute S szligPS cent szligPS NPO^7bn[UiNihQcNPObnJZ N H hQk5^MeJKh[PcentNicentQcfcQ H maring^eJUOYQ H moXiacutejOb H QR[]O QcYu[]QUPJUO centm H MeJgXiacute[]fcfR[WQcO[aeligJkWKhZJUYZYQR[]OOaring

$ampamp aOtildejOcircaacute fa )( j +cent aq^J H ayacutejj cent JkWK- f aOtilde Sltj thorn aOtilde Sltj a2Ograve]jG [eZaringQcOQZaringQVcurrenUQcOF[ H MJbn[U~NihdQcNPObnJuZaringN H hQktimes^eJ H JLhlZaringQcONPO H [SX-NPOtimesJUP[]fVUWQcO[hJ[]QR[]ONiKKEgraveJUNihY H [OslashcentEgraveJNtimeshZJUfcJU~NPO HH [[]f H [ordmZaringN`PJ H MQcYFhZJ[]Qc[]O bn[]OUPJLhY[PJ H [WFNih^Y H MeJbLfR[]YZJUY H Me[]ZOslash[S[PJUOeJL[]jYbn[]fR[PhiexclhZJ[]QR[]OO^9J H jY$Oe[ H J timesOslash NPO^0copyUgraveUcircUacuteUuml H MJbn[UiNihQcNPObnJ5ZaringN H hQcbnJUYy[SX=hJUYKEgraveJUb H QVUPJUfVmordmOuml timesOslash aagravejNPO^tOuml UgraveUacuteUuml aagravejaring

atilde aacute213 u Patilde u centatilde u atildeu cent atilde u centcentatilde u cent4atildeu5 atilde u5centatilde u54atilde67 a2zSj

WMJLhZJSaringEFFG FFH u times aumlatilde aacute iacutefaring w aring thorn yuml aOtilde times S times atilde jaOtilde auml S auml atilde j atilde aumlS times atilde aacute iacutefaring w aring thorn yuml Otilde times a2atildeltszligaumlj atilde auml WQ H M aacuteiVIgraveOacute[Ph Kf5

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ J [PcentUWQR[]jYZfm`MNUPJacuteu times aumlatilde aacuteu auml timesatilde ^shy9J H jYaumlO[ H J ^eJ H a atilde j H MJ ^eJ H JLhlZaringQsONPO H [SXH MeJaumlbn[U~NihdQcNPObnJZ N H hQkWiexclMQcbMJkBKhJUYZYZQR[]O QcY H MJgX[]fsfR[WQsO[aring

^eJ H a atilde jumlaacute u Patilde u centcentatilde u 4atilde u centatilde u atilde u cent4atilde u Patilde u cent4atilde u cent4atilde u centcentatilde u atilde u atilde u 4atilde u centatilde u centatilde a2Ogravei]jnot jOb H QR[]OY [SX H MeJeumlbn[UiNihQcNPObnJpoundZaringN H hQk ^eJ H JLhZaringQcONPO H YNihZJ jYJU^ NPY hJ[]QR[]O^eJUYbnhQRK H [PhY^ JIacutebMe[B[]YJ H MJordfX[]fcfc[WQcOF[aeligYZJ H [SX$^eJUYZbnhQRK H [PhYaringEFG FH uuml thorn UgraveUcircUacuteUuml yuml aacute98ordfaq^eJ H acopyUgraveUcircUacuteUumlAjjuuml thorn timesOslash yuml aacute98ordfaq^eJ H a timesOslash jjuuml thorn otilde)yuml aacuteOslashb a2Ograveh]jWMJLhZJ8ordfaOgravejFQcYNOslashKEgrave[]YZQ H QVUPJiexclXiacutejOb H QR[]O [SXampbLfcNPYZYograve aOtilde 13yjFNPO^Cb`NOslashKEgrave[]YZQ H QVUPJOtildebn[]OWVY H NPO H ^gJ H jYNtildeOe[W WhQ H J H MeJJUP[]fcj H Qc[]OaringJBjN H QR[]O [SX H MeJiexclNPb H QUPJbn[]O H []jehcentmbn[]ZOslashK-j H QcO[ H MJIacute^QEgraveJLhZJUO HH JLhlZaringYiexcl[SX_a j^J H NPQcfcYiexcl[SX H MeJIacutebn[]ZaringKj H N H QR[]O bLNPOcentEgraveJgXiacute[]jO^QsOaNiKKEgraveJUO^QVk X5^gtMJaumlJUP[]fcj H QR[]O`JBjN H QR[]O[SX H MJIacuteNPb H QVUPJaeligbn[]O H []jhQcY H MJgX[]fsfR[WQsO[aringaelig Yacuteaagravejaelig agrave aacute8gaq^eJ H atimesOslashjj 8ordfaq^eJ H a UgraveUcircUacuteUuml jj`b admacr s jlt8Icircraquodaq^eJ H a times Oslash jgt= ccedil A B egrave aOtilde S timesOslash jaOtilde B5 S BtimesOslash jB^eJ H aDC EBtimesOslash ja fj BGFH amp^eJ H atimesOslashj48 raquo aq^eJ H atimesOslashjj 8Icircraquodaq^eJ H a UgraveUacuteUuml jgt= ccedil I B egrave aOtilde Eacute S UgraveUcircUacuteUuml jaOtilde B S BUgraveUcircUacuteUuml jB^eJ H aDC JBUgraveUacuteUuml ja fj BKFH amp^eJ H a UgraveUcircUacuteUuml j48 raquo aq^eJ H a UgraveUcircUacuteUuml jjcedil13eacuteMJZaringN H hdQkLC JBatilde QsY ^JU^jbnJU^icircXh[]Z H MJeumlbn[U~NihdQcNPObnJbZaringN H hdQkM atilde centm YZjeKeVKhJUYZYZQcO[ H MeJ uuml UumlON hZ[WENPO^ H MeJ I UumlON bn[]fcjFZaringO^MeJeumlfcNPY H Xiacute[]jeh fsQcOeJUY [SX H MeJJBjN H QR[]ONihZJ H MeJOtildeNP^^Q H QR[]ONPf H JLhZaringY(bn[]ZaringQcO[XiacutehZ[]Z H MeJiexclU~NihQsN H QR[]O [SX H MeJOtilde^eJnVYZbnhdQRK H [PhYWiexclQ H Mordmagrave^ Y0Q H MNPYycentEgraveJLJUOOslashKhJUBQR[]jYZfVmTKhZ[UPJU^X[Ph[PhZJmWYZbLNPfRJiexclQCZaringN[PJUYeH MeJUYZJ H JLhlZaringYMNUPJ H [ cent=Jaumlbn[]OYZQc^eJLhZJU^ QsO[Ph^eJLh H [regZ N`PJ H MeJTNPb H QUPJTbn[]O H []jhbn[]OUPJLhY[PJ H [WFNihd^YNZ QcOQZtimesjFZ [SX H MJTbnhQ H JLhQc[]OO^macr^ ^~THORNUgrave2FIgraveFEgrave2Iacute_IgraveFOacuteshyETHOgraveNtildeshyEumlEgraveOIgraveIcircdEumlETHOIcircnot [Ph H MJ JkWKEgraveJLhQZOslashJUO H YeQWNtildeJ H N`PJCntildea]jordmaacute ILK Kaf[]jgWMQsbMsup1[]QVUPJUYnntilde raquo aOgravejaacutefdOafWOgravej(NPO^8ordfaOgravejaacute ILK KafIcirch cent juWMQcbdMt[]QVUPJUY8 raquo aOgravejaacute ETHOafIcirch cent j^ JbdMe[[]YZJ bbaacute f s ^QMeJaringbn[]fR[PhtimesYKNPbnJ YJUfcJUb H JU^QcYaQPszlig l szligicirclaquojeltWMeJLhZJwaOtilde aacuteRPordmjhZJLKhZJUYJUO H Y H MeJfsjFZaringQcONPObnJNPO^waOtildeOgravecent5aacute l j$NPO^frac34aOtildeS aacuteOslashicircj$hZJLKhZJUYJUO HyH MeJ H WF[bdMehZ[]ZaringQcONPObnJUY^ not [Ph H MeJbn[]ZaringKj H N H QR[]OOslash[SX H MeJuUiNihQcNPObnJSei[]Ofm H MeJfcjZaringQcONPObnJQcY(jYJU^O^

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CB5Oaring[Phd^eJLh H [aeligYJ[]ZOslashJUO H NPO Me[]ZOslash[S[PJUOJL[]jY0hJ[]QR[]OOeOgraveWFJiexclY H Nih H WQ H M NPO QcOQ H QcNPf

bLjehlUPJ0QcOYZQs^eJ H MJ0hZJ[]QR[]Oauml[SXWQsO H JLhZJUY H ^MeJybLjhYUPJ0QcY H MJUOTYZjeKK=[]YZJU^ H [JkWKNPO^jO H Qcf(Q H hJUNPbMeJUY H MeJ centEgrave[]jO^NihlmOacute[SX H MeJabn[]ObnJLhdOeJU^ Me[]Zaring[S[PJUOeJL[]jYaringhJ[]QR[]OO^MJtimesbLjehlUPJtimes^e[BJUYUacuteOe[ H [P[cent=JmP[]O^ H MJUYJaeligcent=[]jO^NihQRJUYiexclYZQcObnJSe=[UPJLh H MeJLhZJSe H MeJbnhQ H JLhQR[]OOacuteQsObnhZJUNPYJUYtimescentEgraveJUbLNPjYJ H MeJU~NihdQcNPObnJOcircu centtimesOslash [Ph H MeJ bn[U~NihdQcNPObnJtZaringN H hQVk^eJ H JLhZaringQcONPO H ^eJ H atimesOslashjUcirccentOtildeQsObnhZJUNPYJS^MeJaringNPfV[P[PhQ H MZEcentNPYJU^[]O H MeJ bn[UiNihQcNPObnJZaringN H hQVkeumlQcYaumlK=JLhlX[PhlZaringJU^euml[]ONPOQZ N[PJ [SX H MeJUBQs^eJL[`YJBjeJUObnJrnN`WQVmP[]peumlQcO[Ph^JLh H [euml^eJ H JUb HaeligH MeJYKEgraveJUN`PJLhUTYXqNPbnJS^gtMJaumlJUP[]fcj H QR[]O[SX H MJIacutebLjehYUPJIacuteQcYu[]QVUPJUO QcO not QV[^ macr^gtMeJTbn[]O H []jehiexclJUP[]fUPJUYH [ONPfcfVmbn[]OUPJLhY[PJaelig[]O H MeJIacutecent=[]jO^NihQRJUY[SX H MJyXqNPbnJa not QV[^ macr^bj^OMeJyXiacuteNPbnJaeligQcYH MeJUONPbLbLjehdN H JUfVm YZJ[]ZOslashJUO H JU^^FMeJUacuteNSZOslashKfcQ H j^eJ[SX H MeJiexclUPJUfR[BbLQ H m QsYFNPfsY[laquo[]QVUPJUOQcO not QV[aqYj^ macr^ ^OecurrenJSe Xfrac34jNPO^WNtildeJUacutebLNPO [PcentYJLhYUPJ H MN HFH MeJ5XiacuteNPbnJUacutehZJ[]QR[]O QcYUPJLhYmWFJUfcf^eJUfsQZaringQ H JU^regXhZ[]Z H MJ[ H MJLhhZJ[]QR[]OY^MJ5UPJUfc[BbLQ H m[]QUPJUO QcO not QV[aqYj^ macr^ ^OecurrenJSe XQcObLfcj^eJUY H MeJNP^^Q H Qc[]ONPf H JLhlZaringYFbn[]ZaringQcOF[yXiacutehZ[]Z H MeJ5UiNihQcN H QR[]O [SX H MeJiexcl^eJUYbnhQRKeVH [PhY5WQ H Magrave`centj H ^e[BJUYOtildeOe[ H QcObLfcj^eJ H MeJaeligcentEgrave[]jO^NihlmVcentNPYZJU^ H JLhlZ WMQcbMeumlQcYUacuteNYYZaring[[ H MQsO[ H JLhlZ^KMeJtimesNSZOslashKfcQ H j^eJOtilde[SX H MeJyUPJUfc[BbLQ H maQcYiexclOe[PhlZaringNPfcQcurrenLJU^ centEgraveJ H WFJLJUOs NPO^ macrSmacre$YZjbdM H MN HTH MeJ OeJ[]N H QVUPJoU~NPfcjJUYIacuteNihZJ fR[WFJLh H MNPO f i`NPO^ H MeJKEgrave[]YZQ H QUPJ[]OJUYNihZJTMQ[]MeJLh H MNPOpoundf i^ J bLNPObn[]ZaringKNihZJ H MJ QcOQ H QsNPfUPJUfR[BbLQ H m[Pcent H NPQcOJU^jYZQcOF[ H MeJ bn[U~NihQsNPObnJZaringN H hdQk admacr s juWQ H M H MeJOtilde[]OeJOtilde[Pcent H NPQcOeJU^jYQcO[ H MeJordfUiNihQcNPObnJrega2Sj^KMeJordfXqNPbnJTQcYOe[ H WNtildeJUfsf9^eJ H JUb H JU^QcO H MeJUPJUfR[BbLQ H m[Pcent H NPQsOeJU^ajYQcO[ H MeJUiNihQcNPObnJa not Q[^ ^bjWMJLhZJUNPYIacuteQ H QcYIacutehZJUNPfcfmumlWNtildeJUfcfF^eJ H JUb H JU^QsO H MeJQcOQ H QcNPfUPJUfR[WbLQ H m7jYZQcOF[ H MeJbn[iVUiNihQcNPObnJpoundZ N H hQk a not QV[^ ^currencentj^_MeJ UPJUfR[WbLQ H m [Pcent H NPQcOeJU^ jYZQsO[ H MeJumlU~NihdQcNPObnJ^e[BJUYOe[ H NPfsfR[W NPOJltz bLQRJUO H YJ[]ZOslashJUO H N H QR[]O`[SX H MeJyXiacuteNPbnJauml[]O H MeJaumlbn[]O H hNihYm H [H MeJIacutebn[UiNihQcNPObnJlaquoZaringN H hQk^eJ H JLhZaringQcONPO H WMQsbM H N`PJUYUacuteNP^UiNPO H N[PJaelig[SX H MeJtimesbn[]fR[PhQcOFX[PhlZ N H QR[]OO^macr^ ^WVFEumlETH=gtNtildeFETH32EacuteltOacuterETHEacute`0Ntilde=KIgravek8ltIgraveFETHIgrave5=KETH32EacuteltOacute~2Oacute+(8ltIgraveEacute IcircIgrave5euml1IgraveFOacute=KIgraveIcircMJa^eJUYZbnhQcK H [PhYOslashcentNPYZJU^[]O H MJ`bn[UiNihQcNPObnJZaringN H hdQkNihJ`QZOslashK-fRJZOslashJUO H JU^ H [^eJ H JUb H MBjFZaringNPO XqNPbnJUYQcO UWQc^eJL[OacuteYJBjeJUObnJUY^MQsYaring^eJ H JUb H QR[]OegraveZaringNm cent=J`jYJU^Xiacute[PhtUWQc^eJL[ bn[B^QcO[ H [JUObn[W^eJYJUfcJUb H QVUPJUfVm H MeJOacuteMBjFZaringNPOegraveXqNPbnJS^ not [Ph`N []QVUPJUObn[]ZOslashKhZJUYZYZQR[]OOacutehN H QR[e H MeJoXiacuteNPbnJbLNPO7cent=J H hNPOYYZ Q HH JU^bWiexclQ H MN MQV[]MJLhThN H J H [H MeJ^eJ H hdQZOslashJUO H [SX H MeJcentNPbl`[Ph[]jO^O^uMQsY QsO H JLhZJUY H QcO[KhZ[PKEgraveJLh H m QcYUiNPfcjWVNicentfcJuX[PhUBQc^JL[Bbn[]OXiacuteJLhZJUObnJUYe]WMeJLhZJ H MeJ ZOslash[]Y H QZOslashKEgrave[Ph H NPO H NPO^regZOslash[]Y H U~NihdQcNicentfRJQcOFX[PhlZ N H QR[]OQcYfR[WbLN H JU^ []O H MJordfXiacuteNPbnJaq 5ZOslash[]Oe[]j`NPO^tUacutejMNSZaringJUfde sSsSs j^ J QcOQ H QcNPfcQVcurrenLJ H MJhdY H XiacutehNSZOslashJoWQ H M7N`bLQchbLfRJ QsOYZQc^eJ H MeJXqNPbnJ H [ H hNPbY`K^MJUOOeyacuteWFJsup1ZaringN`PJ H MeJNPb H QVUPJ7bn[]O H []jeheumlJUP[]fVUPJjYZQcOF[admacr s jeiexclWQ H MX8ordfaOgravejxaacuteILK KafUgravemiddot cent j^ltMeJregONPfybn[]O H []jehtimes[SX H MeJ bLjehZhJUO H QZaringN[PJ QcY H MeJUOOacutebdMe[]YJUO7NPYNPO QcOQ H QcNPfbLjhYUPJordfX[Ph H MJUacuteOJk H QZaringN[PJS^FMeJOtildeNPfV[P[PhQ H MFZMNPYcentEgraveJLJUOKEgraveJLhYXiacute[PhlZOslashJU^[]OYJUPJLhdNPf$YJjJUObnJUY^MeJaelighZJUYjf H Y5X[Ph H MJaeligYZJjeJUObnJpoundn5JLhQV`p NihJordm[]QVUPJUOQcOnot QV[^ethz^shyMeJaringKNihNSZaringJ H hZJ bMNPYaumlcentEgraveJLJUOYZJ HaumlH [sup1f s ^QMeJordmXqNPbnJ QcYordfWFJUfcfy^J H JUb H JU^NPO^ H hNPbY`PJU^times[]O H MJ|WMe[]fcJyYJjJUObnJS^MJyhZJUYZjf H YOX[Ph H MeJNtildeYZJjeJUObnJnN`WQVmP[]p

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ macrNihZJy[]QVUPJUO`QsO not QV[^ i^ JaeligbMe[B[]YJbaacute s ^ JtimesbLNPO`YJLJ H MN HH MeJXiacuteNPbnJaeligQcYuWFJUfcf^eJ H JUb H JU^aJUPJUOaQVX H MeJaumlbn[]fR[Phiexcl[SXMJLhYZMQRh H QsY(bLfR[]YJ H [ H MJgXiacuteNPbnJIacutebn[]fR[Ph^

YOEAEligMgtIltROgravesup3PshyAtildeT13MKI5O H MQcYKNiKEgraveJLheuWNtildeJKhZ[PKEgrave[]YJN OeJW 0jfRJLhQcNPOAumlZaringQsOQZaringQVcurrenUN H Qc[]OAumlZOslashJ H Me[W^ H [bn[]ZOslashK-j H J H MJUPJUfR[WbLQ H mpoundUPJUb H [Pharing[SXNPONPb H QVUPJ bn[]O H []jeh H MN H JUOYZjehZJUYtimesQ H WQcfcfJUP[]fVUPJ NPYordfXiacuteNPY H NPYOtildeKEgrave[]YZYZQRcentfcJ H [WNih^YIacuteNZaringQcOQCZIacutejFZ [SXN bnhQ H JLhQR[]OeumlQcObLfcj^QcOF[centEgrave[ H MUacutehZJ[]QR[]OeVcentNPYJU^TNPO^OtildecentEgrave[]jO^NihYmVcentNPYJU^ H JLhlZ Y^ q jehgNiKKhZ[]NPbMIacuteQcYcentNPYZJU^Otilde[]OYZMNiK=J[PK H QZaringQVcurrenUN H Qc[]OOslashKhQcObLQRKfRJUY$NPO^ QcYyKEgraveJLhYXiacute[PhlZOslashJU^ QcO H MehZJLJ5ZaringNPQcO Y H JLKYaringf^ltO H hZ[W^jb H QR[]O[SX$NOslash^mWONSZaringQcbLNPfYbMeJZOslashJIacuteQcO H MeJTbnhQ H JLhQR[]OOe ^vF[]ZOslashKj H N H Qc[]Oaelig[SX H MeJ_0jfRJLhdQcNPOaelig^eJLhQVUiN H QVUPJ[SX H MJbnhQ H JLhQR[]OOslashjYZQcO[OtildeYZMNiKEgraveJ

[PK H QZaringQVcurrenUN H Qc[]O H [[]fcYe^vF[]ZOslashKj H N H Qc[]Oa[SX H MeJtimesJUP[]fcj H Qc[]OaJBjN H QR[]O`[SX H MeJaeligNPb H QVUPJtimesbn[]O H []jehiexclXiacutehZ[]ZH MeJT^eJLhQU~N H QVUPJS^

iexcl Ntilde _ cent G NPfcfR[WY H [hJUNP^QcfVm H N`PJNtildeQcO H [NPbLbn[]jO H9H MeJybLNPYJ0[SXBhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H^eJUYbnhQRK H [PhY H MN H NihZJo[]fR[PcentNPfcfVmN HH NPbdMeJU^ H [ H MeJ JUP[]fVUWQcO[ hZJ[]QR[]OYtimesNPO^Y[H MN H UiNihYm^jehQsO[ H MJaumlKhZ[PKN[]N H Qc[]O [SX H MJaumlbLjehYUPJS^ JTYMe[W H MN HH MeJgUiNihQuVN H QR[]O [SX H MeJUYJ^JUYZbnhQRK H [PhdY QsO^jbnJUYNP^^Q H QR[]ONPf H JLhlZaringYQcO H MeJeumlJUP[]fcj H QR[]OJBjN H QR[]Oeuml[SX H MeJaringNPb H QVUPJ bn[]O H []jeh^MJUYJ H JLhlZaringYgZtimesjY H Oe[ H centEgraveJlaquoX[Phl[P[ HH JUOQcO[Ph^JLh H [ hZJUNPbMeumlN H hjeJZ QcOQZtimesjFZ[SX H MeJtimesbnhQ H JLhQc[]OaNPYUacuteQ H MNPYcentEgraveJLJUOKEgrave[]QcO H JU^[]j H QsOJkBKEgraveJLhQZaringJUO H NPfEgravehZJUYjf H Y^

Yfrac34XiacuteNiheumlNPYeumlMe[]ZOslash[S[PJUOeJL[]jYeumlbn[]fR[PheumlhZJ[]Qc[]OY`YZJ[]ZOslashJUO H N H Qc[]OQsY`bn[]ObnJLhdOeJU^OeWFJKhZ[PKEgrave[]YJ H MeJ`bn[U~NihQsNPObnJfrac34ZaringN H hdQk^eJ H JLhlZaringQcONPO H NPY N^eJUYbnhQRK H [Ph^MQcYY H N H QsY H QcbLNPfhZJ[]QR[]OeV4^eJLKEgraveJUO^eJUO H ^JUYZbnhQRK H [PharingNiKK=JUNihdY H [centEgraveJN UPJLhlm7hJUfRJU~NPO HH [B[]fampNPO^eumlY[ Q H MNPYUacutecent=JLJUOeumlYZjbLbnJUYZYXqjfcfVm NiKKfsQRJU^ H [XqNPbnJaring^eJ H JUb H QR[]OQcOfrac34UWQc^eJL[YJBjeJUObnJUY^

iquest acuteraquoacuteLacuteIltR]acuteAtildeagraveIgravefrac14dEcircsup1Atilde5AringiquestLmiddotNtildeIumliquestUumlgIumlUTHORNampAtildeEacutecedilAtilde5AringAcircnAtilde|iquestaacuteIacuteIumlIZEgravefrac14Zcedilfrac12frac14dAringiEcirc]iquestfrac14draquoiEcirc[NtildeIumlagraveAringEacutePAtildecedilwAacute4] uacute_^J^J^ iquest)` igraveraquoLCcedilfrac14cedil4Ecircfrac14draquo~Ecirc(Auml|AringAacuteCcedilfrac14Zcedil4Ecirc

Agrave5AringcedilAcircnAtilde$AtildeAcircnAuml|frac12AringAacutesup1AumldraquoTAringAEligwsup1raquo~ordm(frac12Atilde5AcircnAtilde5frac12AEligwAtildeAacuteampIgrave(Atilde AacuteIcirc~AumlUEcircSaIumligraveraquo13] x4~rv p4PldrRtcoPl|Egraveod5v pv i4vodaumlx4shyl not vsectpqo v tu not Iumlcb$Auml|EacutePAtilde|iquestednfrac14Oumlifrac14draquoIuml

agraveIgrave(Aumldraquo~Auml|Aringiquest~igrave4IumlPfrac14raquoiEcircfWIumliTHORNampAringIcircifrac14Igrave(Atilde5frac12G] divideugrave|ugrave|ugrave iquest` igraveAacuteAtildecedil4frac14ZAacutesup1Acirc|AtildeNtildeEacute~frac14dAgrave4UgraveUCcedilEgravefrac14cedil4EcircUacuteAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoUacuteOgraveregAumldcedilIcirc~sup1Atildecedil4frac14cedilAgrave4Icirc~sup1currenEumlAgravefrac14dfrac12=CcedilEgravefrac14AcircnAtilde5frac12AtildeAacutesup1Igravefrac14ordm|AtildeAgrave5AumlUEcircsup1raquo~ordmIaIumlaeligigraveiacuteraquoS] x4rv p ildrRtcodil|ampod5v pv P4vOtildeodOslashx4shy(l not vFsectpqo v tu not Iumlg frac14raquo~Agrave5AumldAring~AcircnAtildecediliquestehEgravefrac14raquoifrac14|Ecircfrac14Iuml

agraveAringEacutePAtildecedilwAacuteiquest[NtildeIumlWfrac14raquoiEcircifWIuml13b$Aumldcedilraquo~OumlcedilAuml|EacuteAEligqAacute4] divideugrave|ugraveuacute iquestkj ldrregv shy(ldrRtcl|ipwonm5v shyNtildetuOslashtushyl not vampipwo4v tu not sect9ldp4rRtcl|Egravedt lv pv ~rRtRl|9vDm~lrRtcod~ldiTrreg~vUacutel| Uiexcloqnldp4tcldrRtRod~ iquestpoAumlIuml uacute_qEr IumlOslashagrave9Ouml~Oumlfrac12sup1AtildeEcircaacuteUacutefrac14AacuteIcirc~AtildeIgravefrac14Aacutesup1Agravefrac14dfrac12BatildeAgravesup1Atilderaquo~Agrave5Atilde5AElig5iquestPatildeOumlcedilsup1raquoordm|Atildecedil g Atildecedilfrac12frac14dordmIumlhEgravefrac14dAEligwAtilde5frac12frac12Atilde5AElig5iquest g Iumliquest~szlig0Iumleb$sup1Igrave(Igrave(Atilde5frac12Riquestifrac14raquoiEcirc[NtildeIumlatildefrac14dOumlsup1cedilAumlI] uacute_^J^Er iquest`s[Atilde5AumlUEcircAtilde5AEligwsup1AgraveFfrac14dAgraveAacutesup1AcircnAtildeyAgrave5AumldraquoUAacuteAumldAringcedilAElig_aIuml x4~rv p4PldrRtcodPldpoundUodUp4Pl|WoqodshyiUrv paumlumltutcodutet13v uacute+w iquestex uacuteyIrz^ Iuml

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CBh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34LiquestBagraveyIumlWfrac14raquoiEcircidIumlBTHORNampAringraquo~Agravefrac14raquo13] uacute4^z^J^ iquest`[ampfrac14Igrave(AtildeEumlcAacuteIcirc~Atilde5AumlcedilAtildeAacutesup1Agrave(sup1raquoUAacuteAtildeordmdcedil4frac14Aacutesup1AumldraquoaeligOgraveuAumldcedil0sup1Igravefrac14dordmdAtildeAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIuml xQ|||~pwl~ lnrRtcodNtildeodiexclsect9lrRrv p auml9Pl| ~tuyldi j l|4Utu]vx4~rvreg t not v P4v Iumlh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34Liquestgagrave0IumliquestIumlgatildeUAacute4frac14dsup1Eacuteiquest9frac14draquoiEcircdIuml9THORNampAringraquo~Agravefrac14raquo13] uacute_^J^ xiquest` THORNampAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeIacuteEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34iraquo~Ecircsup1raquo~ordmsup1raquoIgrave(AtildeEcircsup1Agravefrac14frac12iexclsup1Igravefrac14ordm|Atilde5AEligaringEacuteLfrac34Oacutesup1raquoLAacuteAtilde5ordmcedil4frac14Aacutesup1raquo~ordm ordmdcedil4frac14|Ecircsup1Atilde5raquoLAacute frac14raquoiEcirccedilAtilde5ordm|sup1Auml|raquo sup1raquoOgraveuAumldcedilIgravefrac14ZAacutesup1Auml|raquo13aIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu notI iquesteE ^4y rdugrave Iumlh=Icircifrac14raquoiquestBETHIumlWfrac14raquoiEcircIuml g Atilde5AEligwAtildeJ] dividedugravedugraveuacute iquest` agraveAgraveAacutesup1AcircnAtildeFAgrave5Auml|raquoLAacuteAuml|AringcedilAElig$Ccedilgsup1AacuteIcircAuml|AringAacuteNtildeAtilde5Ecircordm|AtildeAElig_aIuml xQ||k|~pwld lnrRtcododUacutex4shy(l not v9sectpqo4v 4tu notuU v divideJw iquest divide xJx ydividezrJr Iumlh=Icirc~Atilde5AEligwraquo~frac14dAring~EcirciquesthIumliquestfWIuml=szligAtildeOgraveYacutecedilIAtilde5ordm|sup1Atildecediliquestfrac14draquoiEcirc g Iuml5Z=AumldAring~frac12AtildeAacute4] uacute_^J^z^ iquest`currenatildeUAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12cedilAtilde5ordmdsup1AumldraquoAEligwraquoifrac14dUgrave|AtildeEumlsEacuteifrac14dAEligwAtilde5EcircAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquofrac14|Ecircfrac14dOumlAacuteAtilde5EcircFAacuteAumlyEcircsup1s]AtildecedilAtilde5raquoLAacute-Ouml~IcircLfrac34AEligwsup1Agrave5frac14dfrac12~raquoAuml|sup1AEligwAtilde9Igrave(AumlUEcircAtilde5frac12AElig_aIuml xQ||k|~pqld~ lnrRtco~$osect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4vt iquest uacute|uacute_q y~uacute|uacute xIumlh=Auml|IcircAtilde5raquoiquestIuml] uacute4^z^uacute iquest`currenmiddotraquofrac14dAgrave Aacutesup1Acirc|Atilde Agrave5AumldraquoLAacuteAuml|AringcedilIacuteIgrave(AumlUEcircAtildefrac12AEligtimesfrac14draquo~EcirceumlEacuteifrac14dfrac12frac12AumlLAuml|raquoAElig_aIuml odshyiUrv pumltutcod pwl Utc0ldix4shyl not vsectEgravepwo4v tu not x4shyl not vOtildePnv p rsldidtu not) iquest divideUuacuteduacuteydivideLuacute UIumlh=Auml|IcircAtilde5raquoiquestSIumliquestUumlIuml13ZEgravefrac14cedil4Ecircsup1raquo~AtildeAacuteiquestfrac14raquoiEcircoNtildeIumlagrave9frac34Lfrac14dAgrave4Icirc~AtildeJ] uacute_^J^z iquest`atildeUAringcedilwOgraveufrac14dAgrave5Atilde0cedilAtilde5Agrave5Auml|raquoAEligqAacutewcedilAring~AgraveAacutesup1AumldraquotimesAring~AEligwsup1raquoordmfrac14AgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilaumlIgrave(AumlUEcircAtilde5frac12AElig_aIuml igraveiacuteraquoS] Lsect=xQ|od5v pv P4v od vwodshy(v rRp tc j v rregodtimestuodshyiUrv pumltutco Iuml~atildefrac14raquoUacuteTHORNampsup1Atilde5ordm|AumliquesthEgraveagraveyIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquestEgraveUumlIuml] dividedugrave|ugravedugrave iquest`currenatildeAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquo Ouml~frac14cedilAgrave5Auml|raquoLAacuteAuml|AringcedilAEligUacutefrac14AgraveAacutesup1currenOgraveuAEligUacuteAtilde5raquosup1Igravefrac14dordmdAtildecedilsup1AtildeIacuteIgraveAtilde5Ecircsup1Agravefrac14dfrac12AtildeIacuteEcircfrac34UEumlraquoifrac14dIgrave(sup1ecircLAring~Atilde]ampfrac14Ouml~Ouml~frac12sup1Agravefrac14ZAacutesup1AumldraquoAtilde5raquoeumlAgravefrac14Zcedil4Ecircsup1Auml|frac12Auml|ordmdsup1Atilde raquoUAring~Agravefrac12Atilde5frac14dsup1currencedilAtildeJaIumlfIcircIuml THORNFIumlAacuteIcirc~Atilde5AEligwsup1AElig5iquestraquo~sup1AcircnAtildecedilAEligwsup1currenAacutefrac34`AumlOgraveosup1Agrave5AtildeEumliacuteatildeAumldOuml~Icircsup1Yacutefrac14NtildeagraveraquoLAacutesup1OumlPAuml|frac12sup1AElig5iquestPeacutecedil4frac14raquo~Agrave5AtildedIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquest|UumlIumliquestUaacuteIacuteIumlEZEgravefrac14cedilfrac12frac14dAring~Ecirciquest[NtildeIumlLagraveAringEacutePAtildecedilwAacuteiquest|frac14draquoiEcirc dIumlnTHORN$frac14ZcedilAgrave5Auml|AringcedilwAacute4] divideugrave|ugraveUuacute iqueste`currenatildeOuml~frac14dAgrave5AtildeEgraveAacutesup1Igrave(AtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14EumlAacutesup1AumldraquoUacuteAring~AEligwsup1raquoordmfrac12Atilde5AcircnAtilde5frac12AEligwAtildeAacutefrac14dAgraveAacutesup1AcircnAtilde$AgraveAuml|raquoLAacuteAuml|AringcedilAEligfrac14Ouml~Ouml~frac12sup1AtildeEcirciexclAacuteAumlFIgraveNtildefrac34LAumlLAgravefrac14Zcedil4Ecircsup1frac14dfrac12ordmnfrac14ZAacuteAtildeEcircOtildeatildeIf-UumlkhEgraveETHaIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu not t v rJw iquest)x qJ+y xJ ^ Iuml

THORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquest13iexclNtildeIumlfrac14draquo~EcircdIumlWaacuteAuml|raquoLAacute4frac14ordm|raquoifrac14ZAacute4] divideugrave|ugraveUuacute iquest` ETHBAumldOumlPAuml|frac12Auml|ordmfrac34Oslashfrac14raquoiEcircIacuteAEligwIcirc~frac14dOumlPAtildeAgraveAuml|raquo~AEligqAacutewcedil4frac14sup1raquoUAacuteAEligyAumldraquotimesOumlifrac14Zcedil4frac14EumlIgrave(AtildeAacutewcedilsup1AgraveOslashfrac14dAgraveAacutesup1AcircnAtildearingAgrave5AumldraquoLAacuteAuml|AringcedilAElig_aIuml odshy~rv pumltutcodldP x4shy(l not vPLv p4rsldPtu notcent) v divideJw iquestuacute_qnugrave4yiuacute4rUuacute Iuml[Auml|Igrave(Atilde5AElig5iquestpounddIumlfrac14draquo~EcircaringmiddotNtildeIumleacuteifrac14Aring~ordm|Atilde cedil4frac14dAElig_] divideugrave|ugrave|ugrave iquestcurren` szlig9Atilde5Agrave5Aumldraquo~Agrave5sup1frac12sup1raquo~ordmIacuteEcircsup1AEligqAacute4frac14draquoAgrave5AtildeOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligfrac14draquo~Ecircaeligfrac12Atilde5AcircnAtilde5frac12EgraveAEligwAtilde AacuteAElig_aIumlpoundUodUp il|WoqUacuteumltul|-odshyNtildeshyFU~tR4lrRtcodTldix4shyl not vampgvipv v rsldrRtcod ) iquest dividedugravez^+ydivideddividez Iuml[cedil4frac145frac34LiquestszligyIumliquestdIumlyen-Auml|Aringraquo~ordmiquestampfrac14raquoiEcircagrave0Iumlampagravesup1currenfrac34LAtildecedil4] dividedugravedugraveuacute iquest `aacutesup1raquosup1IgraveNtildeAring~Igrave Ecircsup1AEligwAgrave cedilsup1Igrave(sup1raquo~frac14Aacutesup1Auml|raquosup1raquoOgraveregAumldcedilIgravefrac14Aacutesup1AumldraquoAgrave5frac12Aring~AEligqAacuteAtildecedilsup1raquo~ordmI]Igrave(AumlUEcircAtilde5frac12sup1raquo~ordmTfrac14raquoiEcircOslashecircLAringifrac14raquoUAacutesup1Ocircfrac14ZAacutesup1Auml|raquoOslashCcedilgsup1currenAacuteIcirc ordm|frac14dAringAEligwAEligIgrave(sup1currenicircAacuteAringcedilAtilde5AElig_aIumlTigraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquest=atildePIumliquest=aacuteIacuteIumlkZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestEgravefrac14raquoiEcirc[NtildeIuml=agrave9Aring~EacutePAtildecedilwAacute4] dividedugrave|ugraveUuacute frac14Uiquest` agrave EumliacuteatildeUAacuteAtilde5Ouml frac14dfrac12ordm|Aumlcedilsup1currenAacuteIcirc~IgraveAring~AEligwsup1raquoordmcedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtilde=Agrave5Auml|raquoLAacuteAuml|AringcedilAEligeOgraveuAumldcedilAcircUsup1EcircAtilde5AumlAuml|EacuteUbrvbarqAtilde5Agrave AacuteAElig=EcircAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoSaIuml~igraveraquo13]psect xw j x4 sect odpDumlqo odUacutex4shy(l not v9Pl| ~tu5op j rRtushyvwdtclNtildex4rv pwlnrRtKndvy]v pntc4v IumliETHWfrac14dIgrave(OumlPAtilde cedilAtilde|iquestieacuteWsup1raquofrac12Yacutefrac14raquoiEcirc]Iumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquestUatilde]IumliquestUaacuteIacuteIumlUZ=frac14cedilfrac12frac14dAring~EcirciquestUfrac14raquoiEcirccopy[NtildeIumlUagrave9Aring~EacutePAtildecedilwAacute4] dividedugravedugraveuacute EacuteiquestA` szlig9Atilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14AgraveAacutesup1AcircnAtildegAgrave5Auml|raquoLAacuteAumldAringcedilAEligOgraveuAumldcedilAcircUsup1YacuteEcircAtilde5AumlaringAuml|EacuteUbrvbarqAtilde5Agrave AacuteOtildeAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo Ccedilgsup1currenAacuteIcircaAgrave5frac14dIgrave(Atildecedil4frac14OslashAgrave5AumldIgrave(OumlPAtilde5raquo~AEligfrac14ZAacutesup1Aumldraquo13aIumligraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquesteatilde]IumliquestWaacuteIacuteIumlZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestefrac14draquo~Ecirc[NtildeIumlBagraveAring~EacutePAtilde cedilwAacute4] divideugrave|ugraveuacute Agrave|iquestk` g sup1EcircAtilde5AumlUacuteAuml|EacuteUbrvbarqAtildeAgraveAacuteFAEligwAtildeordm|Igrave(Atilde5raquoLAacute4frac14Aacutesup1AumldraquoAring~AEligwsup1raquo~ordmIacuteAtilde5Aring~frac12Atildecedilsup1frac14draquo cedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAElig_aIuml igraveiacuteraquoS] x4rv p ildrRtcodil|yodv pwv P4vIacuteoodshyiUrv paumlumltutcod Iuml g frac14draquoAgrave5Auml|AringAcircnAtildecediliquestehEgravefrac14draquo~frac14|Ecirc~frac14UIumlbyfrac14dAEligwAElig5iquesteaacuteIacuteIumliquestWagrave0Iuml Ucirc sup1currenAacuteUgravesup1raquoiquestWfrac14raquoiEcirctimesTHORNFIumlWETHBAtildecedilOcirc5AumldOumlPAuml|Aringfrac12AumldAElig_] uacute4^ JUiquestk`currenatilderaquoifrac14UgravenAtilde5AElig_]WagraveAgraveAacutesup1AcircnAtilde(Agrave5AumldraquoLAacuteAuml|Aringcedil0Igrave(AumlUEcircAtilde5frac12AElig_aIumlx4~rv p4PldrRtcoPl|WpoundUop4PldWoqodshyiUrv pTumltutcod iquest ndivideUuacuteyUzndivide Iuml

aacuteUacutefrac14dfrac12frac12frac14|Ecircsup1ciquest~szlig0IumliquestedIuml]atildeUAtildeAacuteIcirc~sup1frac14raquoiquest~frac14draquoiEcircZIuml g Atilde5IgraveNtildeAringcedilsup1G] uacute4^z^ UiquestS`atildeUIcircifrac14OumlPAtilde$Igrave(AumlUEcircAtilde5frac12sup1raquo~ordm0Ccedilgsup1AacuteIcirciexclOgraveregcedilAuml|raquoLAacuteOumlcedilAumldOumlifrac14dordm|frac14EumlAacutesup1Aumldraquo13]nfrac14ampfrac12AtildeAcircnAtilde5frac12AEligwAtildeAacuteEgravefrac14Ouml~OumlcedilAumlnfrac14dAgrave4Icirc13aIuml xQ|||~pwld lnrRtcodampodsectgldrRrv p 9Pl| ~tu9ldP j ln4Utreg]vx4~rvu t not v i4v Iordf iquest uacute z yiuacute+r UIuml

aacuteUacutefrac14draquoAEligwAuml|Aringcedilsup1Riquestagrave0Iumlfrac14draquo~EcircdIumlb$Auml|raquocedil4frac14|EcircS] uacute_^J^J^ iquestlaquo`currenaacuteAumldAacutesup1AumldraquoAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo`Ccedilgsup1currenAacuteIcirceumlfrac12Atilde5AcircnAtildefrac120AEligwAtilde AacuteAElig_aIuml igraveraquo13]x4~rv p4PldrRtcoPl|=ov pwv P4vNtildeodUacutex4shyl not vsectEgravepwo4v tu not Iumlcb$AumldEacutePAtilde|iquestednfrac14dOuml~frac14draquoIuml

aacuteAuml|raquoLAacute4frac14dordmdraquoifrac14ZAacuteiquestdIumliquestziexcl0IumlTHORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquestdfrac14draquo~EcircoNtildeIumlZagravegfrac34Ufrac14dAgrave4Icirc~AtildeJ] dividedugrave|ugraveUuacute iquest` agraveOslashcedilAtildeAcircsup1AtildeCcedilaeligAumldOgravePEcircAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeAEligwAringcedilwOgraveufrac14dAgrave5AtildeAElig_]AacuteAuml|OumlPAuml|frac12Aumldordmdfrac34Liquestgordm|AtildeAuml|Igrave(AtildeAacutewcedilwfrac34frac14draquoiEcirc EcircAtildeOgraveuAumlcedilIgravefrac14Aacutesup1Auml|raquoSaIuml x4shyl not vtimesldiOacuteumltutcododshy~rRtreg not0Inot v uacute_qw iquestuacuteugravendivide+y~uacuteugravezq|ugrave Iuml

aacuteAring~IgraveOgraveregAumldcedil4Ecirciquest=THORNFIumlgfrac14raquoiEcircdIumlatildeIcirc~frac14dIcircS] uacute4^ ^ iquest`currenmiddotOumlAacutesup1Igravefrac14frac12$frac14dOumlOumlcedilAumlicircsup1Igravefrac14Aacutesup1Auml|raquoAEligEacuteLfrac34Oumlsup1AtildeAgrave5AtildeCcedilgsup1AEligwAtildetimesAEligwIgrave(AumlLAumlAacuteIcircOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligFfrac14raquoiEcircOslashfrac14dAEligwAEligwAumlLAgravesup1Yacutefrac14ZAacuteAtildeEcircaringAcirc|frac14Zcedilsup1Yacutefrac14ZAacutesup1Auml|raquoifrac14frac12EgraveOumlcedilAumldEacute~frac12Atilde5Igrave(AElig_aIuml odshyNtildeshyFU~tR4lrRtcod~oaeligsectEgraveUpvUacuteldiEgraveni tsvw j ldrreg~v shy(lrRtccurrenshyt iquest rzr4y xJ q Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfa

yenKbrvbarsect =4 acirc $ zmiddotAEligwIcirc~AtildecediliquestdatildePIumlfrac14draquo~EcircdIumlnatildeAtilde AacuteIcirc~sup1frac14draquoS] uacute4^ ziquest` eacutecedilAuml|raquoLAacuteAEligeOumlcedilAumldOumlifrac14ordmnfrac14Aacutesup1raquoordmCcedilgsup1currenAacuteIcircFAgrave5AringcedilAcirc|frac14ZAacuteAringcedilAtildeEumlEcircAtilde5OumlPAtilde5raquoiEcircAtilde5raquoLAacuteBAEligwOumlPAtildeAtildeEcircS]

agravefrac12ordm|Aumlcedilsup1AacuteIcircIgrave(AEligEacute~frac14dAEligwAtildeEcircaumlAuml|raquoiexclampfrac14Igrave(sup1frac12AacuteAumldraquoEumldnfrac14Agrave5Auml|Eacutesup1eacute~AumldcedilIgraveNtildeAring~frac12frac14Aacutesup1Auml|raquoSaIuml poundUodUp4Pl|oqiexcloshyiUrsldrRtcoPl|sect=U~tc ordfenot iquest uacutedivide4yEqE^ Iumlfefrac14cedil4frac14ordm|sup1Auml|AElig5iquestoNtildeIumlfrac14draquo~EcircIacuteszligyIuml]THORNampAtildecedilsup1Agrave4Icirc~AtildeJ] uacute4^z^J^ iquest`s[Atilde5AumlUEcircAtildeAEligwsup1Agravefrac14AgraveAacutesup1AcircnAtildeFcedilAtilde5ordmdsup1Auml|raquo~AElig$OgraveregAumldcedil0Igrave(AumldAacutesup1Auml|raquoTAtilde5AEligqAacutesup1Igravefrac14Aacutesup1Aumldraquofrac14draquoiEcircAacutewcedil4frac14dAgrave4UgraveUsup1raquoordmAaIumligraveiacuteraquoS] x4rv p ildrRtcodil|-ov pwv P4vFodOslashodshyiUrv paumlumltutco Iumleh=AumldcedilwOgraveregAringgt[cedilAtilde5Atilde5Agrave5Atilde|Iumlfefrac14AacuteAtilde5Aringicirc]iquestatilde]Iuml] dividedugravedugrave|ugrave iquestpound`currenatildeOuml~frac14Aacutesup1frac14dfrac12AEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoTAumldOgrave=Agrave5Auml|frac12Aumlcedilysup1Igravefrac14ordm|Atilde5AEligampfrac14dAgrave5Agrave5Aumlcedil4Ecircsup1raquo~ordmAacuteAumlUacuteaacuteTHORNaringOgraveregAumldcedilIgravefrac14dfrac12currenEumlsup1AEligwIgraveaIumlyigraveraquo13] x4~rv p4PlrRtcodPld=od5v pv i vodododpFtu pwl4UtcldPx4shyl not vysectpqo v tu not Iumlatildefrac14dsup1raquoLAacute UumleAacutesup1Atilderaquo~raquo~Atildediquestieacutecedil4frac14raquo~Agrave5AtildedIumlfcedilAtildeAgrave5sup1Auml|AEligwAumliquesteacute=IumlEgravefrac14raquoiEcirc aacuteIacuteIumlcurrenZEgravefrac14cedilfrac12frac14dAring~EcircS] dividedugrave|ugraveUuacute iquest` Z-EumliacuteatildeUOuml~frac12sup1raquo~Atildeaumlfrac14dAgrave Aacutesup1Acirc|AtildeOtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAEligOgraveregAumldcedilOgraveRfrac14AEligqAacuteAcircUsup1EcircAtilde5AumltimesAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIumlOacuteigraveraquo13] x4rv p ildrRtcodil|od5v pv P4vaeligod x4shy(l not vUacutesectpqo4v 4tu not IumlETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1Riquest[cedilAtilde5Atilde5Agrave5Atilde|Iuml

szligAumldraquoOgraveufrac14cedil4EcirciquestszligyIuml] uacute_^J^q iquest` szlig9Atilde5ordmdsup1AumldraquoEumlsEacuteifrac14AEligwAtildeEcircFAEligqAacutewcedil4frac14ZAacuteAtilde5ordm|sup1Atilde5AEligeOgraveuAumlcedil-frac14dAgraveAacutesup1AcircnAtildeEgraveAgraveAuml|raquoLAacuteAuml|AringcedilIgrave(AumlUEcircAtilde5frac12AElig_aIuml x4~rv p4PldrRtcoPl|poundUodUp il|WoqodshyiUrv paumlumltutco I v dividezw iquest divideddividez^+yUdivide uacute Iuml

atildefrac14Igrave(AEligwAuml|raquoiquestzhIumliquestzIumlzZ=frac12frac14raquo~AgraveEumleacuteAtildecedil4frac14AringiEcirciquestJ[NtildeIumldagraveAringEacutePAtildecedilwAacuteiquestfrac14draquo~Ecirc dIumlJregPAtildecedilAring~Eacutesup1frac14I] dividedugravedugrave|ugrave iquest` agrave frac12Atilde5Acirc|Atilde5frac12UAEligwAtildeAacuteIgrave(AumlUEcircAtilde5frac12nOgraveregAumldcedilsup1Igravefrac14ordm|AtildeAgrave5frac12frac14dAEligwAEligwsup1siAgravefrac14ZAacutesup1Auml|raquo13aIuml x4~rv p4PlrRtcodPldpoundUodUp4Pl|BoqNtildeodshyiUrv pOtildeumltreg4tRod shy v Ew iquest uacute r4y~uacute4^Er Iuml

atildefrac14raquo~ordmdCcedilgsup1raquoAtilde|iquest9atilde]IumlEgravefrac14draquo~Ecircszlig0IumlampiexclAumldcedilraquoAtilde v Atilde5EcircAElig5Iuml w ] uacute_^J^ Uiquest ~vIacuteo|odUpaumltushyl not vipqo4v 4tu not ldP|m4oo4uml Iumlh=Icircifrac14dOumlIgravefrac14draquodegmacriexclampfrac14dfrac12frac12RIumlatildeAtildeAacuteIcircsup1frac14draquoiquestdIumlplusmn] uacute4^z^|ugrave iquestU` oAringIgrave(Atildecedilsup1Agravefrac14dfrac12Ufrac14frac12ordm|Aumldcedilsup1currenAacuteIcircIgrave(AEligWOgraveuAumldcedilOumlcedilAuml|Oumlifrac14ordmnfrac14ZAacutesup1raquoordmsup1raquoLAacuteAtildecedilwOgraveRfrac14Agrave5Atilde5AElig_]Jiexclampfrac14dIgrave(sup1frac12currenAacuteAuml|raquoEumldnfrac14dAgrave5AumldEacute~sup1

AtildeecircLAringifrac14Aacutesup1Aumldraquo~AElig-frac14draquoiEcircAgraveAuml|raquo~AEligwAtilde cedilAcirc|frac14ZAacutesup1Aumldraquo(frac12frac14CcedilgAElig_aIuml poundUodUp4Pl|]oqEgraveyen$t lv pv rRtcl| voshyv rRp~ iquest uacute4Uuacutey~uacute x uacute IumlatildeAtildeAacuteIcircsup1frac14draquoiquestAdIuml] uacute4^J^ xiquest kWvndvB]v r j v rregod IumlcurrenhEgravefrac14dIgraveNtildeEacutecedilsup1EcircordmdAtilderaquosup1AcircPIumlAfecedilAtilde5AEligwAElig5Iumlatildesup1Ecirc~Ecircsup1ecircUsup1Riquest4bIumliquest_yenNtildeIumlBfrac14Aring~Ocirc5sup1Gsup2AtildecedilAtilde|iquestagraveyIumlETHWfrac14draquoraquo~Atilde5raquoUEacute~frac14dAring~IgraveUacuteiquest5frac14draquo~EcircNtildeatildePIumlregPAring~Agrave4UgravenAtildecedil4] uacute_^J^ xUiquestE`currenagravegcedilAtildefrac149frac14draquoiEcirc$frac12Atilde5raquoordmdAacuteIcircyIgrave(sup1raquoEuml

sup1Igrave(sup1Ocirc5sup1raquoordm sup3iAumlCcedilgAEliggOgraveuAumldcedilAEligwIcircifrac14OumlPAtildeyAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo13aIuml xQ|||~pwl~ lnrRtcodoOtildex4shyl not vsectEgravepwo4v tu notordf v Ew iquest qEz+yqzqE Iumlyen=AtildeOcirc5Ocirc5sup1RiquestagraveyIumliquest5agrave0Iuml5ETHEgraveAEligfrac14dsup1Riquestfrac14draquo~Ecirc$agrave0Iuml Ucirc sup1frac12frac12AEligwUgraveLfrac34] uacute4^z^J^ iquestJ` agraveaeligAEligqAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12Ufrac14dOumlOumlcedilAumlnfrac14Agrave IcircampAacuteAumlgAEligwraquo~frac14dUgravenAtilde5AElig]OgraveuAumlcedilWEacutesup1Igrave(AumlUEcircfrac14dfrac12frac14draquoiEcircAacutewcedilsup1Igrave(AumlUEcirc~frac14frac12isup1Igravefrac14dordmdAtildecedilwfrac34aIumligraveraquo13] x4rv p ildrRtcodil|eodv pwv P4vyodx4shyl not vgsectpqo v tu not IumlAb$AumldEacutePAtildednfrac14dOuml~frac14draquoIumlreg]IcircUAringiquest]atilde]Iumlfrac14raquoiEcircaumlagrave0Iumleyen=Aringsup1frac12frac12AtildeJ] uacute_^J^ xUiquestpound` szlig9Atilde5ordmdsup1AumldraquotimesAgrave5AumldIgrave(OumlPAtildeAacutesup1currenAacutesup1Auml|raquo13]iAring~raquo~sup1currenOgraveYacutefrac34sup1raquoordmiexclAEligwraquo~frac14dUgravenAtilde5AElig5iquestPcedilAtildeordm|sup1Auml|raquoTordmdcedilAumlCcedilgsup1raquo~ordmiquestfrac14draquoiEcircZEgravefrac145frac34LAtilde5AEligacute|aacuteTHORNOgraveregAumldcedilIgraveFAring~frac12currenAacutesup1Eacuteifrac14raquoiEcirc sup1Igravefrac14ordm|AtildeTAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo13aIuml xQ|||micro~pwld lnrRtcodtimesosect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4v Icent iquesteJ q+yU^dugrave|ugrave Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfo

i $amp)(+-)013021+345627893lt=gt9A6CBfrac12OcircacuteIshyNT

frac12OcircacuteIltNTpara frac12frac34EMeJaumlQcYZYZjJUacuteQsY H [ ^QEgraveJLhZJUO H QcN H J H MeJordfXiacute[]fcfR[WQcO[Oslash^e[]ZaringNPQsOXiacutejOb H QR[]ONPfdaringocirc|adOuml times jOcircaacute uuml times a2atildeltszligaumlgtszliglOuml times j atilde auml

G QsObnJ H MJeumlYZJ H [SXIacuteNPfcfUacute^e[]ZaringNPQsOYMNPY Oe[ H N Y H hjb H jhZJ`[SXUPJUb H [PhQcNPfOtildeYZKNPbnJSefRJ H jYZ N`PJ H MeJeumlhZJ[]QR[]OYJUP[]fVUPJ H MehZ[]j[]M NrXqNSZaringQcfVm [SX H hNPOYYX[PhlZ N H QR[]OYa(|aagraveszlig jj emiddot iacuteaumlYlZOslash[[ H MaNPO^ centQ ~JUb H QVUPJS^ not [PhNOslashKEgrave[]QcO H $ aacute atildeshyszligaumlN eFWFJTOe[ H JSaring$ aagravej|aacutemiddot|aagraveszlig $ j WiexclQ H M |a s szlig $ jaacute $OumlcopytimesaagravejOcircaacutemiddot|aagraveszliglOumlutimesdj WiexclQ H M |a s szliglOumlcopytimesAjOcircaacuteAumlOumlutimes9J H jY H MeJUO^JOeJ H MeJordfUPJUfR[WbLQ H moUPJUb H [PhdY JUfs^kfrac12 YZjbM H MN H aringfrac12sup1aagraveszlig $ aagravejj|aacute aelig |aelig agrave aagraveszlig $ j YlaquoXiacuteNiharingNPY H MeJ bn[]ZOslashKj H N H QR[]O[SX H MeJ ^eJLhQU~N H QVUPJ QcYOslashbn[]ObnJLhOeJU^OeWFJNihZJQcOWVH JLhZJUY H JU^ QcO YYZaringNPfcfOtilde^JX[PhlZ N H QR[]OY^ J H MBjYJkWKNPO^ H MeJ H hNPOYX[PhZaringN H QR[]ONPbLbn[Ph^QcO[ H [hdY H [Ph^eJLh NmWfR[PhyacuteXiacute[PhlZtimesjfcNaring|aagraveszlig $ jpoundaacuteAElig|a s szlig $ j agrave aelig |aelig agrave a s szlig $ jaacute $ ragrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacute frac14 frac14 a s szlig $ j^ J H MeJUOQcO H hZ[W^jbnJ H MehZJLJgZ NPQcO^eJOQ H QR[]OYaringf^QMeJg0jfRJLhQcNPO^eJLhQU~N H QVUPJOtilde[SXocirc|adOuml times jordfaqQcO H MeJIacute^QRhZJUb H QR[]O[SXcedilfrac12jaring ocirc|adOumlcopytimesszlig_frac12jOcircaacutefcQZUcedil iacute ocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave admacrfj ^QMeJgZaringN H JLhQsNPfg^eJLhQVUiN H QVUPJOtilde[SXuumlStimesYa $ szliglOumlcopytimes)jaringsup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j|aacutefcQZUcedil iacute uumlStimesa $ ragrave3frac12ba $ jszliglOumlutimes agrave3frac12sup1a $ jj uuml]timesa $ szliglOumlcopytimesdjagrave admacr j^QMeJaumlYZMNiKEgraveJOtilde^eJLhQU~N H QVUPJOtilde[SXOcircuuml]timesa $ szliglOumlutimes)jaring

uumlnotraquotimes a $ szliglOumlcopytimesUcircszlig_frac12 jaacutefcQZUcedil iacute uumlStimesYa $ szliglOumlutimesragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave admacrS]j

uumlnyacutenthornnyumll13YSordmY_Fordfy

yenKbrvbarsect =4 acirc $ hq centUWQR[]jYZfVmSe-centmaJkBKNPO^QcO[ admacr jUacuteNPbLbn[Ph^QcOF[ H [hdY H [Phd^eJLhordfNmBfR[PhordfXiacute[PhlZtimesjfcNeWFJaumlMNUPJSaring sup1uumlStimesYa $ szliglOumlcopytimesUcircszlig_frac12 jaacuteAumluumlnotraquotimes a $ szliglOumlcopytimesszlig_frac12jhuumlStimesa $ szliglOumlcopytimes)j frac12sup1a $ j admacrj J H MeJUOabn[]ZOslashK-j H JZOslash[PhJaumlKhZJUbLQcYZJUfVm H MJ0jfRJLhQcNPO ^eJLhdQVU~N H QUPJauml[SXcopyocirc|adOumlcopytimesdj^ JMNUPJSaringocircOcircadOumlutimesaagravejj ocircOcircadOumlutimes)jagrave aacute fagrave = thorn yuml uuml times a $ aagravejszliglOuml times aagravejj $ uuml times a $ szliglOuml times j $ FH admacrSmacr]j5O H MJohY H QcO H J[PhdNPfdeltWFJZaringN`PJ H MeJU~NihdQcNicentfRJ bMNPO[PJ $ aagravejaacute $ agrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacuteethicirc7a2atildeshyszligaumlFjszligicirc cent a2atildeltszligaumlj eWMQcbdM[]QVUPJUYaring thorn yuml uuml]timesYa $ aagravejszliglOumlcopytimesYaagravejj $ aacute admacrS]j

5 uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlutimes agrave3frac12sup1a $ jjlt^eJ H ocirc a $ jlt $WMJLhZJocirc a $ jQcY H MeJgXiacute[]fcfR[WQcO[aringSNPbn[PcentQcNPOtZaringN H hdQkKaring

ocirc a $ jaacute oacute fcedilxagrave frac14 iacute oslashfrac14Uordm agrave frac14 iacute oslashfrac14 ugraveagrave frac14 iacute acircfrac14ordm fcedil agrave frac14 iacute acircfrac14 ugrave ocircNPO^ YZ[eFWNtildeJIacuteMNUPJSaring

^eJ H ocirc a $ jOcircaacute fUragravee^QVUKafrac34frac12sup1a $ jjragrave cent ^eJ H amacr frac12sup1a $ jjMJUOWNtildeJauml[Pcent H NPQcOOaring

fsQZcedil iacute ^eJ H ocirc a $ j fagrave aacute ^QVUKafrac34frac12sup1a $ jj admacr]zSjMJJBjN H QR[]OxadmacrSmacr]j H MeJUOcent=JUbn[]ZaringJUYaringocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave aacute fagrave middot uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jjlt 13raquo ocirc a $ jlt $ uumlStimesa $ szliglOumlcopytimesAj $ admacrSi]j JTbLNPO`YZjeKKEgrave[]YJ H MN H ^eJ H aocirc a $ jjfrac14aacute sfrac12 agrave frac12 $ ^ JZaringNm H MeJUO H N`PJ^eJ H aocirc a $ jjfrac34 s eNPO^ WNtildeJ ^eJUPJUfR[PK H MeJaJkWKhZJUYYZQR[]OadmacrSi]j NPYoX[]fsfR[WQsO[centmNP^^QcO[aringN H JLhZ QcO H MeJIacuteYZJUbn[]O^aQcO H J[PhNPfltWMQcfcJaumlYZjeKKhJUYZYZQcO[ H MeJtimesYZNSZOslashJ H JLhlZQcO H MJordfhY H QcO H J[PhNPfdaring ocirc|adOumlcopytimesYaagravejj ocirc|adOumlcopytimes)jagrave aacuteegraveOtildef1rOtilde cent admacrSh]j

uumlnyacutenthornnyumll13YSordmY_Fordf

s $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJSaring

Otilde aacute uuml]timesa $ ragrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave ^eJ H aocirc a $ jj $ ad s jOtilde cent aacute uuml]timesa $ szliglOumlcopytimesdj ^eJ H aocirc a $ jj fagrave $ adfj

9J H jY_ZaringN`PJordmagrave H JUO^ H [WNih^Y s ^curreniquestYZQcO[frac34admacrjiexclNPO^JOQ H Qc[]OYadmacr e macrS]jeWFJ[PJ H aringfcQZUcedil iacute Otilde aacute sup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j $

aacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ uuml times a $ szliglOuml times j frac12sup1a $ j $fcQZUcedil iacute Otilde cent aacute uuml]timesa $ szliglOumlcopytimesdj^QVUKafrac34frac12 j $

O^ Y[Xiacute[Ph H MeJgNtildejfRJLhQsNPO ^eJLhQVUiN H QVUPJSeWFJgO^Oaring ocirc|adOuml times szlig_frac12jumlaacuteyacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ amacrreguumlStimesYa $ szliglOumlcopytimes)j frac12sup1a $ j7 uuml]timesYa $ szliglOumlcopytimes)j^QVUKafrac34frac12sup1a $ jjj $aacute uumlnotraquotimes a $ szliglOuml times szlig_frac12j $ ^QVUKaduuml times frac12j $ ad j

MeJUO NiKKfVmWQcO[ H MJ hJLJUOWVAQRJZ NPOO H MeJL[PhZJZQcO ad jeWNtildeJ5ONPfcfmtimes[Pcent H NPQcOOaring ocirc|adOumlcopytimesszlig_frac12jOcircaacute uuml raquotimes a $ szliglOumlcopytimesUcircszlig_frac12j $ uacutefrac14 5 uuml]timesYafrac34frac12 eacuteAgraveiquestsup1AacuteAtildeAcircj THORN adS]jWMJLhZJ5eacuteAgraveiquestsup1AacuteAtildeAcircyQcY H MeJUacutejOQ H QcOOgraveWNih^ Oe[PhlZaringNPf H [ aelig OumlcopytimesUcirc^MeJ_NtildejfRJLhQcNPO ^eJLhQVUiN H QVUPJQcY(O[ H JU^ ocirc raquo aagravej(QcO H MeJaumlKNiKEgraveJLhNPO^ H MeJaumlYZMNiKEgraveJauml^eJLhQU~N H QVUPJyuuml raquotimes QcY(Oe[ H JU^ frac14 frac14 ^iquest acutemicrosup1cedilFLft not [PhyYQZOslashKfcQsbLQ H mSeWNtildeJ(bM[[]YJ H MeJcopyXiacute[]fcfR[WQcO[_U~NihQsN H QR[]OaeligQcO H MeJKhZ[B[SXaring$ aagravejaacute $ agrave3frac12sup1a $ j^MJiexclKh[[SXZaringNm NPfcYZ[IacutecentEgraveJiexcl^JUPJUfR[PKEgraveJU^WiexclQ H MZaring[PhZJ_[PJUOJLhNPfUiNihQcN H QR[]OYFYjbM NPYaring $ aagravejaacuteAacuteAgravea $ szligYagravejWQ H MAcircAgrave`NOslashYYZOslash[B[ H MXiacutejOb H QR[]ONPO^AcircAgravea szligYagravejcentQ ~5JUb H QVUPJS^

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ ffrac12OcircacuteIshyNT AcircE J(MNUPJ H [Otildebn[]ZOslashK-j H J H MJNtilde^QEgraveJLhZJUO HH JLhZaringY9[SXQa macr]j9QsOauml[Ph^eJLh H [Uacute[Pcent H NPQcO H MeJ

JUP[]fcj H QR[]OJBjN H QR[]O[SX H MeJ NPb H QUPJ bn[]O H []jehX[Ph H MeJ ^JUYZbnhQRK H [PhdYaumlcentNPYJU^Oacute[]OH MeJ(bn[U~NihQsNPObnJ ZaringN H hQVktimes^eJ H JLhlZ QcONPO H a2Ograveh]j^OgraveMeJ(bn[]ZOslashKj H N H QR[]OaringQcYampKEgraveJLhYXiacute[PhlZOslashJU^Xiacute[Ph H MeJIacute^eJUYZbnhQRK H [Ph_uuml thorn timesOslash yuml ^ q centUWQR[]jYZfmSeN YZQZ QcfcNihbn[]ZOslashKj H N H QR[]OabLNPOacent=JIacute^e[]OeJXiacute[PhOcircuuml thorn UgraveUcircUacuteUuml yuml ^ JiexclbLNPOaeligJkBKhJUYZYOcircuuml thorn timesOslash yuml NPYyNUacutebn[]ZTcent-QcON H QR[]Oaelig[SXgtXiacutejOb H QR[]OYamp^eJLKEgraveJUO^QcOF[[]O H MJOtildehZJ[]QR[]OwOuml timesOslash aring

uumlgtthorn times Oslash yuml a2atildeltszligaumlgtszligYagravejaacute`Ograveoacute m thorn timesOslash yumlaIgraveagrave thorn timesOslash yumlAtilde j cent ocirc adjWMJLhZJordmaacuteAuml85eWiexclQ H MAring8 H MeJordfXqjOb H Qc[]O QcO H h[B^jbnJU^ QcOpounda2Ograveh]je-NPO^aringm thorn timesOslash yuml aacute agrave thorn timesOslash yuml agrave thorn timesOslash yumlcent agrave thorn timesOslash yuml agrave thorn timesOslash yumlAElig agrave thorn times Oslash yumlCcedil agrave thorn timesOslash yumlEgrave agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlEgrave j cent agrave thorn times Oslash yumlcent aIgraveagrave thorn timesOslash yumlCcedil j cent agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlAElig j centWQ H MOaring EFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFH

agrave thorn timesOslash yuml aacute w$ thorn yuml aOtilde S times Oslash j cent atilde aumlagrave thorn timesOslash yumlcent aacute w$ thorn yuml aOtildeOgravecent Scenttimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yuml aacute w$ thorn yuml aOtildeS Stimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yumlAElig aacute w$ thorn yuml aOtilde S times Oslash jaOtildeOgravecent ScenttimesOslash j atilde aumlagrave thorn timesOslash yumlCcedil aacute w$ thorn yuml aOtilde S times Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlEgrave aacute w$ thorn yuml aOtilde cent S centtimes Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlAtilde aacute w$ thorn yuml atilde auml O^ Y[ H MJordfXiacutejOb H QR[]OY aelig thorn timesOslash yumlauml MNUPJ H MeJgXiacute[]fcfR[WiexclQcO[aeligJkBKhZJUYZYZQR[]OYaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

aelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlcent aacute aOtilde cent S centtimesOslash j centaelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlAElig aacute aOtilde S timesOslash jaOtilde cent S centtimesOslash jaelig thorn times Oslash yumlCcedil aacute aOtilde S timesOslash jaOtilde S timesOslash jaelig thorn times Oslash yumlEgrave aacute aOtildeOgravecent ScenttimesOslash jaOtilde13 StimesOslash jaelig thorn times Oslash yumlAtilde aacutemiddotf

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBnot h[]Z H MeJUYJaumlJkWKhZJUYYZQR[]OYeWFJOtildeJUNPYZQcfm ^eJU^jbnJ H MN H aring

$ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde aumlregaacute sEacutefrac12poundEcirc iuml

J H MeJUO MNUPJ H [Tbn[]ZaringKj H J H MeJ H JLhlZaringY eacute thorn times Oslash yumlauml XiacutehZ[]Z H MeJJkWKhZJUYZYQR[]OYamp[SXagrave thorn timesOslash yumlauml eWMQcbM fRJUNP^Y H [aringEFFFFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFFFFH

eacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideoslash aacute w$ thorn yuml uacute ouml $ordfdivideacirc uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIgrave yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H a timesOslash jjeacute thorn timesOslash yumlcent aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideacirc

aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIcirc yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideEuml aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideacirc thorn thorn uacute ouml $_divideIuml yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yumlAElig aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIuml aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideEuml uacute ouml $ordfdivideIuml thorn uacute ouml $_divideIcirc uacute ouml $ordfdivideIgrave yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlCcedil aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIcirc aacute w$ thorn yuml cent thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideacirc uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlEgrave aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIgrave aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideoslash uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlAtilde aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIacute aacute w$ thorn yuml thorn +ETH ouml $_dividethorn uacute ouml $ordfdivideIacute yuml Iuml 8 raquo aq^J H a timesOslash jj

O^centmJkWKhZJUYZYZQsO[ H MeJbn[UiNihQcNPObnJZaringN H hQVkpoundWQ H M H MJregXqjOb H QR[]OYagrave thorn timesOslash yumlauml NPYXiacute[]fcfR[WQcO[aring

timesOslashlaquoaacute 1NtildeNtildeNtildeNtildeNtildeNtilde3uacute ouml $ordfdivideoslashuacute ouml $ordfdivideIacute uacute ouml $_divideIumluacute ouml $_divideIacute uacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIumluacute ouml $ordfdivideIacute uacute ouml $_divideacircuacute ouml $_divideIacute uacute ouml $ordfdivideIgraveuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacute uacute ouml $_divideIgraveuacute ouml $_divideIacute uacute ouml $ordfdivideEumluacute ouml $ordfdivideIacute

6OgraveOgraveOgraveOgraveOgraveOgrave7 J H MJUO^eJU^jbnJSaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

eacute thorn times Oslash yuml aacute a fj thorn yuml ^eJ H aDC Ptimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlcent aacute a fj thorn centcent yuml ^eJ H aDC centcenttimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yuml aacute a fj thorn curren yuml ^eJ H aDC 4times Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlAElig aacute a fj thorn cent yuml ^eJ H aDC centtimes Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlCcedil aacute a fj thorn curren yuml ^eJ H aDC times Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlEgrave aacute a fj thorn centcurren yuml ^eJ H aDCcent4times Oslash j48 raquo aq^eJ H a timesOslash jjeacute thorn times Oslash yumlAtilde aacute amp^eJ H a timesOslash j48 raquo aq^eJ H a timesOslash jj

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ SWMJLhZJC EBtimesOslash QcY H MeJgZaringN H hdQk ^eJU^jbnJU^Xh[]ZOacutetimesOslasharingcentm YZjeKKhZJUYZYZQcOF[ H MeJyuuml UumlON hZ[WNPO^ H MJ I UumlON bn[]fcjFZaringOO^]MeJbn[]ZOslashKj H N H Qc[]OordmX[Ph H MeJ^eJUYZbnhdQRK H [Ph|uuml thorn UgraveUcircUacuteUuml yuml QcYyYQZaringQcfcNihNPO^WFJ H MeJUOOslashMNUPJNPfcf H MeJ(JkWKhZJUYZYZQc[]OY H [aumlbn[]ZOslashKj H J H MeJJUP[]fcj H QR[]OaeligJjN H QR[]OXiacutehZ[]Z H MeJg[PJUOJLhNPfOXiacute[PhlZIacutejfcNta macr]j^gtMQcYcopy[]QVUPJUY H MeJTJUP[]fcj H QR[]O JBjN H QR[]Osup1admacr s j^

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBΩ out

Objects

Γ

inΩ

inΩ

Background Part

-t not Upv copy ETHEgraveIcircAtildeampAacuteiacuteCcedil=AumlFcedilAtilde5ordm|sup1Aumldraquo~AElig9AumldOgravefrac14raquoUacutesup1Igravefrac14dordm|Atilde

Ω

Ω out (τ)Ω

(τ)in

N

Γ(τ)

Ω

N

v

w

N

-t not Upv ETHEgraveIcircAtildeyEcircAumldIgravefrac14dsup1raquo~AEliggfrac14raquoiEcircAacuteIcircAtilde$AcircnAtilde5AgraveAacuteAumlcedilAEliggsup1raquoUAcircnAumldfrac12AcircnAtildeEcircsup1raquoiexclAacuteIcirc~Atilde$EcircAtildecedilsup1Acirc|frac14ZAacutesup1Aumldraquo

uumlnyacutenthornnyumll13YSordmY_F2ordf

yenKbrvbarsect =4 acirc $ Smacr

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 Atilde|IumligraveAacuteAtildecedil4frac14ZAacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvyzU eacuteWsup1ordm|AringcedilAtilde5AEligfrac14iquest Eacuteiquest AgraveJ]iUumlAcircnAumldfrac12AringAacutesup1Auml|raquoOtildeAumlOgraveeAacuteIcirc~Atildeyfrac14dAgrave Aacutesup1Acirc|Atilde0AgraveAuml|raquoLAacuteAuml|AringcedilIgravefrac14raquoifrac14ordm|AtildeEcircUacuteEacuteLfrac34AacuteIcirc~AtildefTHORN$Uuml v qzqwsup1raquo~Agrave5frac12AringiEcircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquoifrac14frac12ampAacuteAtildecedilIgrave(AElig5IumlgeacuteWsup1ordm|AringcedilAtilde5AEligOtildeEcirc]iquest Atildediquest Ograve] g sup1AEligwAringifrac14frac12sup1Ocirc5frac14Aacutesup1Auml|raquo`AumldOgrave0AacuteIcirc~AtildeTAgrave5AumldcedilwcedilAtilde5AEligwOumlPAumldraquoiEcircsup1raquoordmAcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 OgraveuAring~raquoAgraveAacutesup1Auml|raquosup1raquo~Agrave5frac12Aring~Ecircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquo~frac14dfrac12ampAacuteAtildecedilIgrave(AEligraquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirc EacutePAtildeAacuteiacuteCcedil=Atilde5Atilde5raquo ugrave frac14draquoiEcirc divide JUiquestAEligwAring~Agrave4IcircTAacuteIcirc~frac14Aacute$AacuteIcircAtilderaquo~Atilde5ordm|frac14Aacutesup1AcircnAtildeAcircdfrac14dfrac12AringAtilde5AElig0frac14cedilAtildefrac12AumlCcedilEgraveAtildecedilyAacuteIcirc~frac14draquo uacutedivide Uacutefrac14raquoiEcircaumlAacuteIcirc~AtildeOumlPAumldAEligwsup1Aacutesup1AcircnAtilde(Aumldraquo~Atilde5AEligyfrac14ZcedilAtilde(Icirc~sup1ordm|IcircAtildecedilAacuteIcircifrac14raquo uacuteZdivide Iuml

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

Ecirc]Iumligraveraquo~sup1currenAacutesup1frac14dfrac12BAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 Atilde|IumligraveAacuteAtilde cedil4frac14Aacutesup1Auml|raquo ugravedugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not Upv ucirc eacuteWsup1ordmdAringcedilAtilde5AEligtimesfrac14iquest Eacuteiquest AgraveJ]ampUumlAcirc|Auml|frac12AringAacutesup1Auml|raquoAumlOgrave(AacuteIcirc~Atildearingfrac14AgraveAacutesup1AcircnAtildeOslashAgrave5Auml|raquoLAacuteAumldAringcedilIacuteIgravefrac14draquoifrac14ordm|AtildeEcirc`EacuteUfrac34AacuteIcircAtildeOcircfTHORN$Uumlv q w iquestiexclCcedilgsup1currenAacuteIcirc~AumldAringAacuteAacuteIcirc~Atildefrac14dEcirc~Ecircsup1Aacutesup1Aumldraquoifrac14dfrac12TAacuteAtildecedilIgrave(AElig5IumliexcleacuteWsup1ordm|AringcedilAtildeAElig Ecirc]iquest Atildediquest Ograve] g sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo AumlOgraveaeligAacuteIcirc~AtildeAgraveAumldcedilwcedilAtildeEumlAEligwOumlPAuml|raquo~Ecircsup1raquo~ordm AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 OgraveregAring~raquo~Agrave Aacutesup1AumldraquoeumlCcedilgsup1currenAacuteIcirc~Auml|AringAacuteIacuteAacuteIcircAtilde frac14|Ecirc~Ecircsup1currenAacutesup1Aumldraquoifrac14frac12FAacuteAtildecedilIgrave(AElig v raquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirceumlAEligwAring~Agrave4Icirc AacuteIcirc~frac14AacuteIgravefrac14icirc vOOtilde wpOumldivide z w Iuml

uumlnyacutenthornnyumll13YSordmY_F2

S $amp)(+-)013021+345627893lt=gt9A6CB

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIumligravesAacuteAtildecedil4frac14Aacutesup1Aumldraquogt ugrave|ugrave AgravedIumlieacuteWsup1raquoifrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12Acirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 AtildedIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIumlieacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvtimesLg sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo(AumldOgravePAacuteIcirc~AtildeAtildeAcircnAuml|frac12AringAacutesup1AumldraquoAumldOgravePAacuteIcircAtildeEgraveAgrave5Auml|raquoLAacuteAumldAringcedil-frac14draquo~EcircNtildeAacuteIcirc~AtildeEgraveAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 v Ccedilgsup1AacuteIcircAuml|AringAacuteAacuteIcircAtildeEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircFAacuteAtilde cedilIgrave w OgraveregAumldcedilEgraveAacuteIcircAtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoAumlOgraveAacuteIcircAtilde9Ograveufrac14dAgrave5AtildeAring~AEligwsup1raquo~ordmyAacuteIcirc~Atilde9Agrave5AumlZAcirc|frac14Zcedilsup1frac14draquo~AgraveAtildeIgravefrac14Aacutewcedilsup1currenicirc]Iuml

frac14Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcircnAtilde EacuteIumligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 v AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde w Agrave|Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacutefrac34 v Acircdfrac14cedilsup1frac14draquoAgrave5Atilde w-t not Upv h=AumldIgrave(Oumlifrac14cedilsup1AEligwAumldraquoOtildeAumldOgraveAacuteIcirc~Atilde$sup1raquo~sup1currenAacutesup1frac14dfrac12eAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34iexclAgrave5Auml|Igrave(OumlAringAacuteAtildeEcircAringAEligwsup1raquo~ordmAacuteIcirc~Atilde$AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde0Igravefrac14Aacutewcedilsup1currenicircv iordmdAringcedilAtildeFEacute w AacuteAumliexclAacuteIcircAtildeAuml|raquoAtildeFAgrave5AumldIgrave(Ouml~AringAacuteAtildeEcircTAringAEligwsup1raquo~ordmiexclAacuteIcircAtildeFAcircdfrac14cedilsup1frac14draquoAgrave5Atilde v ~ordm|AringcedilAtildeFAgrave w OgraveregcedilAumldIgrave AacuteIcirc~AtildeNtildeAEligfrac14dIgrave(Atildesup1raquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcirc|Atilde v iordmdAringcedilAtilde$frac14 w Iuml

uumlnyacutenthornnyumll13YSordmY_F2_a

yenKbrvbarsect =4 acirc $ ]z

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv Oslash| THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5AtildeccediliacuteAtildecedilsup1UgraveUegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_o

Si $amp)(+-)013021+345627893lt=gt9A6CB

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv ordf THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5Atildeccedilqfrac14dUgraveUsup1currenfrac34LAumldegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_y

RR-0114-SJEHANpdf
  • wwwi3sunicefr
    • httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf
Page 13: LABORATOIRE INFORMATIQUE, SIGNAUX ET SYSTEMES DE …mh/RR/2001/liste-2001.pdf · 2002. 6. 27. · [Dir01] DIRAT L. “Outils pour des Mathématiques Interactives et Distribuées”

yenKbrvbarsect =4 acirc $ YZMNiK=JT[PK H QZaringQVcurrenUN H Qc[]OKhQsObLQRKfRJUY^ Q H M YZjbM`NPO`NiKKhZ[]NPbMegtWFJIacutebLNPO hZJUNP^QsfVmH N`PJ7QcO H [ NPbLbn[]jO H`H MeJpoundUiNihQcN H QR[]O [SX H MJOacute^eJUYZbnhQcK H [PhY H MN H NihJpound[]fR[PcentNPfcfmN HH NPbdMeJU^ H [ H MeJUacuteJUP[]fVUWQcO[timeshZJ[]QR[]OYgaqbLNPfsfRJU^ hZJ[]QR[]OWV4^eJLKEgraveJUO^JUO H ^eJUYZbnhQcK H [PhYj^ JOtildeYZMe[W H MN HH MeJiexclU~NihQsN H QR[]O [SX9hZJ[]QR[]OWV4^eJLKEgraveJUO^JUO H ^eJUYZbnhQcK H [PhYF^jehQcOF[ H MeJJUP[]fcj H QR[]OOtilde[SX H MeJ0NPb H QUPJFbn[]O H []jehampQcO^jbnJUY9NP^^Q H QR[]ONPf H JLhlZaringY9QsO H MeJyJUP[]fcj H QR[]OJBjN H QR[]Oeuml[SX H MeJOslashNPb H QVUPJ bn[]O H []jeh^MeJUYZJaeligNP^^Q H QR[]ONPf H JLhlZaringYOtildeMNUPJaringOe[ H centEgraveJLJUOKhJUBQR[]jYZfVm bn[]ZOslashK-j H JU^uml^

G []ZOslashJNtildeJkeNSZOslashKfcJUY[SX-jOYZjeKEgraveJLhYUWQcYJU^TYKN H QcNPfBYJ[]ZOslashJUO H N H QR[]OOePjYZQsO[ H MeJcopyUiNihQuVNPObnJ [SX H MJOslashhZJ[]QR[]OYe9KhZ[UPJ H MeJ QZOslashKEgrave[Ph H NPObnJOslash[SX H MeJ NP^^Q H QR[]ONPf H JLhlZaringYordfXiacute[PhH MeJ(NPbLbLjehdNPbmIacute[SX=YJ[]ZOslashJUO H N H QR[]OOslashhZJUYZjf H Y^MeJNP^^Q H QR[]ONPf H JLhlZ YZIacutejY H O[ H centEgraveJXiacute[PhY[P[ HH JUO QcO [Ph^eJLh H [laquo[PJ HH MeJ_XqNPY H JUY H NPb H QUPJUacutebn[]O H []jeh(JUP[]fcj H QR[]O H [WNih^Y(NZaringQsOQZtimesjFZoslash[SX H MeJaumlbnhdQ H JLhQR[]OO^not QcONPfcfVmSe H MeJbn[UiNihQcNPObnJbZ N H hQk ^eJ H JLhZaringQcONPO H NiKKEgraveJUNihY H [ cent=JNrUPJLhYmhZJUfcJU~NPO HH [B[]fOX[PhMe[]ZOslash[S[PJUOeJL[]jYbn[]fR[PhiexclhZJ[]QR[]OYYZJ[]ZOslashJUO H N H Qc[]OO^gtMQcY H [[]fQcYYZjbLbnJUYZYXqjfcfVm NiKKfcQRJU^ H [XqNPbnJIacute^eJ H JUb H Qc[]O []OhZJUNPfUBQc^JL[aringYJjJUObnJUY^MeJa^eJ H NPQcfcJU^ [UPJLhYUBQcJW []O hZJ[]QR[]OeVcentNPYJU^ NiKKhZ[]NPbMJUY QsYaringKhZ[PKEgrave[]YJU^ QcOG JUb^ eshyWMQcfRJOslash[]jeh0jfRJLhdQcNPOumlXiacutehNSZOslashJWF[PhY`uml5_0 Uacute_ cent G QcYauml^JUYZbnhQRcentEgraveJU^QcO G JUb^^MQcY|XhdNSZOslashJWNtilde[Phl` QcY H MeJUONiKKfcQRJU^ H [ H MJjOYZjeKEgraveJLhYUWQcYJU^aringYJ[]ZaringJUO H N H QR[]O[SXMe[]Zaring[S[PJUOeJL[]jYIacutehZJ[]QR[]OYIacutejYZQcO[ H MJregUiNihQcNPObnJ QsO G JUb^lt`NPO^ H MeJ bn[U~NihQsNPObnJZaringN H hdQk ^eJ H JLhZaringQcONPO H QcO G JUb^gtmacr^

degEplusmnyLMgtsup2Qsup32acutemicromiddotparaJcedilJacutemicrosup1acuteIKJordmcedilIltN paraJcedilJacutewMraquo Jfrac14ltacutefrac34frac12oLJMgtIiquest acuteAgravegtT2MgtIAacutelAcirclaquocedilFAtildeacuteNAumlfrac12R]JT13Aringgtacutesup1AEligMgtIKJMgtPltLAtildeJUbnJUO H fVmSeZaringNPOmNPj H Me[PhdYtimesMNUPJKhZ[PKEgrave[]YJU^NwWNm[SXNP^^QcOF[hZJ[]QR[]OWVcent-NPYJU^H JLhlZ YQcO H MJTJUP[]fcj H Qc[]O JjN H QR[]Ow[P[UPJLhOQcOF[ NPb H QVUPJtimesbn[]O H []jehdY Xiacute[PhiexclYJ[]ZaringJUOWVH N H QR[]O QsYZYZjeJUY^QMeJ KhZ[PcentfcJZ Y H N H JZaringJUO H QsYhY H KhZJUYJUO H JU^NPO^ H MeJUO H MeJY H N H JnV[SXV H MeJnV4Nih H QcY^J H NPQcfRJU^O^ ^f^bCcedil_EgraveKEacuteltEcircgtEumlIgraveFIacuteIumlIcircETHOgraveNtildeFETHIgraveFIacute5IgraveFOacuteETHiexclJLhZJSeOcircWFJa^eJUYZbnhdQRcentEgraveJ H MJ JjN H Qc[]OYaringNP^^ehJUYZYZQcO[ H MeJ`QcYZYZjeJ[SX H MeJYJ[]ZaringJUOWVH N H QR[]O[SX NPOQCZaringN[PJxOtilde QsO H WNtilde[ hZJ[]Qc[]OY^iexclgJ H jYeuml^eJOeJrOumlcopytimesOslash H MeJhJ[]QR[]Obn[]O H NPQcOQcOF[ H MeJ[Pcent~5JUb H Y H [YZJ[]ZOslashJUO H NPO^ OumluUgraveUcircUacuteUuml H MeJeumlcentNPbY`[PhZ[]jO^ hJ[]QR[]OO^MJUQRhFbn[]ZregZOslash[]O centEgrave[]jO^NihlmaringQcY(Oe[ H JU^YacuteOcirc^F9J H jY(bn[]OYZQc^JLhNPOaNPb H QVUPJaumlbn[]O H []jhYacuteadTHORN]szligYagravejaacuteacirca2atildeadTHORN]szligYagravejszligaumlOadTHORNOgraveszligYagravejje]WMeJLhZJuTHORNuZaringNmTcentEgraveJ H MeJ(NihbNtildefcJUO[ H Mtimes[SX H MeJbn[]O H []jhNPO^umlagraveQsYOtildeNPOJUP[]fcj H QR[]OeumlK-NihNSZOslashJ H JLh^shyMeJOslashNPb H QVUPJ bn[]O H []jehIacuteNiKKhZ[]NPbMpoundZ N`PJUYYacuteadTHORN]szligYagravejJUP[]fVUPJ H MehZ[]j[]M H MeJ|Xiacute[]fcfR[WQcO[K-Nih H QcNPf^Q=JLhJUO H QcNPf]JjN H Qc[]Ooa5copyjaringaelig YacuteadTHORNOgraveszligYagravejaelig agrave aacuteegraveccedilyeacuteecircaacuteegraveeuml WQ H MigraveYacuteaagraveregaacute s j|aacuteegraveYacuteshyiacute afjWMJLhZJfrac34YacuteltiacuteaQcY NPO QsOQ H QcNPfbLjhYUPJ ^JOeJU^centm H MeJeumljYJLhNPO^egraveeacute H MeJ QsOOgraveWNih^Oe[PhZaringNPfUPJUb H [PhOtilde[SX|YacuteadTHORN]szligYagravej^MeJUPJUfR[WbLQ H mfrac34ccedil QcY^eJLhQUPJU^wXiacutehZ[]Z NZaringQsOQZaringQVcurrenUQsO[

uumlnyacute|thornLyuml13 2

$amp)(+-)013021+345627893lt=gt9A6CBbnhQ H JLhQR[]O NPO^ QsY bdMe[]YJUO Y[ H MN H H MeJ YZ[]fcj H QR[]OicircYacuteaUcirciumlVszligYagravej bn[]OUPJLhY[PJUY H [ H MeJ[Pcent~JUb H centEgrave[]jO^NihYmSeYacuteaUcirciumlethjeNPY_agraveregntildeoacuteograveicirc^5ObLfcNPYYZQcbLNPfcentEgrave[]jO^NihYmVcent-NPYJU^ZOslashJ H Me[W^Ya)v(NPYJUfcfRJUY(J H NPfd^VeshyfhSh]zg_`NPfcfcNP^QJ H NPfd^VelaquofhShSmacr]je H MeJsup1UPJUfc[BbLQ H m XqjOb H QR[]OHccedil QsY`^eJLhdQVUPJU^XiacutehZ[]ZCNPOJUOeJLhY[Smacircocirc^eJLKEgraveJUO^QcO[T[]O H MeJOtildecentEgrave[]jO^NihlmYacuteOcircaring

ocircOgraveotilde UgraveUacute OslashoumlYdivideloslashugrave aYacuteQj|aacute uacuteucircyacuteuumlgtthorn otilde)yuml THORN a jWMJLhZJ_uuml thorn otilde)yuml QcYNtildeNyXqjOb H Qc[]O ^eJUYZbnhdQRcentQcO[ H MeJiexclcentEgrave[]jO^NihYmtimes[SX H MeJiexcl[Pcent~JUb H ^vNPYZJUfcfRJUYJ H NPf_a)vNPYJUfsfRJUYaumlJ H NPfd^VefhSh]zSjIacutebM[[]YJ H MeJregXqjOb H Qc[]Obuuml thorn otilde)yuml aacuteKa ordmOtilde jyWMeJLhZJtaring s szliggograve8ntilde Otilde 13 QcYiexclN Y H hdQcb H fVm ^eJUbnhZJUNPYZQsO[XqjOb H Qc[]OaY[ H MN H a]juntilde s NPYgntildeoacuteograveicirc^SMeJFbn[]ZOslashKj H N H Qc[]OIacute[SX H MeJUPJUfc[BbLQ H mccedilicircXiacutehZ[]Z H MJFbnhQ H JLhQR[]Oa j9QsYOe[WWFJUfcfO`WOe[WiexclOsup1a)vNPYJUfsfRJUYJ H NPfd^VeltfhSh]zSjiexclNPO^`fRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[OslashJUP[]fcj H QR[]OJBjN H QR[]OOaring aelig Yacuteaelig agrave aacuteFuuml thorn otilde)yuml uuml thorn otilde)yuml eacute13eacute ad]jWMJLhZJ QcY H MeJaumlbLjehYUiN H jehZJOtilde[SXYacuteaagravej^iexcl[WFJUPJLhecent=[ H MaringhZJ[]QR[]OYOcircOumlcopytimesOslashtimesNPO^Ouml UgraveUcircUacuteUuml ZaringNmtimesMNUPJiexcl^QV=JLhZJUO H KhZ[PKEgraveJLh H QRJUYamp[SXH Jk H jehZJSeiMe[]ZOslash[S[PJUOeJUQ H mtimes[PhZaring[ H QR[]O H MN H bLNPOOe[ H cent=JQcObLfsj^eJU^aumlQcO H MeJXiacutejOb H QR[]Ouuml thorn otilde)yuml ^ G [ H MeJoZaringNPQcOOacuteKjehZKEgrave[]YJaring[SX(hJ[]QR[]OWVcentNPYJU^7NiKKh[]NPbMeJUYaeligQcY H [ QcO H hZ[W^jbnJYZjbM Nx[]fR[PcentNPfUacuteQcOXiacute[PhlZaringN H QR[]O QcO H MeJ UPJUfR[WbLQ H m XiacutejOb H QR[]Oicircccedil QcO NP^^Q H QR[]O H [H MeJeumlfR[WbLNPfiexclQsOX[PhZaringN H QR[]OKhZ[UWQc^eJU^ centm cent=[]jO^NihYmVcentNPYJU^ H JLhlZaringY^copyMeJZaringNPQcOBjeJUY H QR[]OeiQsOIacute[Phd^eJLh H [~jY H QVX2m H MeJQcO H hZ[W^jb H QR[]OIacute[SX H MJUYJ(hZJ[]QR[]O H JLhlZ Ye]QcY H [^eJLhdQVUPJ H MeJuUPJUfR[WbLQ H mlaquoXqjOb H QR[]OlaquoXiacutehZ[]ZNPOOslashJUOeJLhl[SmS^Ograve9[IacuteYJ H Nordf[PJUOeJLhNPfFXhNSZaringJWNtilde[PhY`NPO^ H [Oslashbn[]ZOslashKNihZJ H MeJUacute^QEgraveJLhZJUO H NiKKhZ[]NPbMeJUYFKh[PK=[]YZJU^ QcO H MeJUacutefcQ H JLhN H jhZJSeWFJOe[W QcO H hZ[W^jbnJ Nw[PJUOeJLhNPfNtildebnhQ H JLhQR[]ObXh[]ZigraveWMQsbM H MeJUPJUfR[WbLQ H mpoundZaringN[]OQ H j^eJZaringNmcent=JOtilde^eJLhdQVUPJU^Oaring

ocircOcircadOumlutimes OslashgtszliglOuml UgraveUcircUacuteUuml szligYYacuteQjbaacute uumlgtthorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszliglOuml UgraveUcircUacuteUuml j atilde auml $ uumlgtthorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashFj atilde aumlamp uacuteucirc uumlgtthorn otilde)yuml a2atildeltszligaumlj THORN a2jWMJLhZJyuuml thorn UgraveUcircUacuteUuml yuml QcYONSZaringJU^ H MeJwn^JUYZbnhQRK H [PhpOslash[SX H MeJaumlcentNPbl`[PhZ[]jO^ hZJ[]QR[]Oegtuuml thorn timesOslash yumlH MeJsup1n^eJUYZbnhQRK H [Phlp[SX H MeJaring[Pcent~JUb H hZJ[]Qc[]ONPO^buuml thorn otilde)yuml H MeJsup1n^eJUYZbnhQRK H [Phlp [SX H MeJbn[]O H []jeh^MJOslashhZJ[]QR[]O^eJUYZbnhdQRK H [PhYordfZaringNm`centEgraveJlaquo[]fR[PcentNPfsfVm`N HH NPbdMeJU^ H [ H MJUQRhOtildehZJnVYKEgraveJUb H QVUPJOslashhJ[]QR[]OYeOumlcopytimesOslasha[PhOuml UgraveUcircUacuteUuml e9NPO^Y[^eJLKEgraveJUO^euml[]O H MeJZ aqQVXFY[e H MeJmNihZJbLNPfcfcJU^pihJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhYYpOgravej^ H MNiKK=JUOYshyWMJUOtimesY H N H QcY H QcbLNPfXiacuteJUN~VH jehJUYg[SXNhJ[]QR[]OTfcQ`PJSeXiacute[Ph9JkeNSZOslashKfRJSe H MeJZOslashJUNPOIacute[Ph H MJ|UiNihQcNPObnJSe~NihZJNtildeYJUfcJUb H JU^NPY(hJ[]QR[]O^eJUYZbnhdQRK H [PhY^MeJ`K-jehZKEgrave[]YJ [SXIacuteNPfcfhZJ[]QR[]OeVcentNPYJU^ NPb H QVUPJOacutebn[]O H []jehYwZOslashJ H Me[W^YQcY H MeJUOH [poundZaringN`PJ H MeJaNPb H QVUPJabn[]O H []jeh JUP[]fVUPJ H [WNih^Y NeumlKNih H Q H Qc[]O[SX H MeJ`QZaringN[PJSeadOumluUgraveUcircUacuteUumlszliglOuml timesOslash szligYYacuteQje H MN H ZaringQcOQZ QVcurrenLJUY H MeJTbnhQ H JLhdQR[]Opounda2j^

uumlnyacute|thornLyuml13 (

yenKbrvbarsect =4 acirc $ macr ^ ^)+ltIgraveFEgrave-+13IgraveigraveEacute10Igrave22IcircETH313Oacute4 EgraveOIgrave54EacuteshyOacute76EcircgtNtildeltIcircIgrave8 Iacute_IgraveETH39ltEacute8QIcircshyIcirclt2Oacute4Ntilde=KETH3gt+ltIgrave=EacuteshyOacuteshyETHEacute1EgraveIcirc MQcfRJiexclNPONPfVmWYZQcO[aumlhJ[]QR[]OWVcentNPYJU^ NPb H QVUPJUacutebn[]O H []jhYNiKKhZ[]NPbdMeJUYeWNtildeJ5ZaringNm bn[]OWVYZQs^eJLh H MehZJLJyZaringNPQsO QZOslashKEgrave[Ph H NPO H K=[]QsO H Yaring MN H NihJ H MeJT^QV=JLhZJUO H ^eJUYZbnhdQRK H [PhY(jYZJU^BA iexcl[WQcY^eJLhdQVUPJU^ H MeJaumlJUP[]fcj H QR[]O JBjN H QR[]OXiacutehZ[]Z H MeJaumlbnhdQ H JLhQR[]OCA iexcl[WQcYQZaringKfRJZOslashJUO H JU^ H MeJaumlNPb H QVUPJtimesbn[]O H []jehANtildeQR[]OeJLJLhcopyWF[PhY`BY(MNUPJaumlcentEgraveJLJUO KhZ[PKEgrave[]YJU^ centma)vF[]MeJUOJ H NPfd^VefhShSgt[]OXqNih^OefhShj^5ONPOJUNihdfVmpoundWF[PhY`gte|vF[]MJUOJ H NPfd^ua)vF[]MeJUO7J H NPfd^VeufhShS]jIacuteKhZJUYZJUO H NYZjhYXiacuteNPbnJ$hJUbn[]OY H hjb H Qc[]OgZOslashJ H Me[W^TjYQcO[hZJ[]QR[]OWVcent-NPYJU^aumlNPb H QVUPJFbn[]O H []jehdY^MJmbn[]ZOslashK-j H J H MeJUPJUfR[WbLQ H mpoundUPJUb H [Phaelig[SXNPO7NPb H QVUPJ bn[]O H []jhXiacutehZ[]Z H MeJZaringQsOQZaringQVcurrenUN~VH QR[]O[SXampNOslashbnhQ H JLhdQR[]OQcObLfcj^QcO[aumlhZJ[]Qc[]OWVcentNPYJU^ H JLhZaringY^ Oe[ H MeJLh(KQR[]OJLJLhuWNtilde[PhY`MNPYaumlcent=JLJUOK=JLhlX[PhlZaringJU^QcO a[]OXqNih^OeOcircfhShj^iexclJ NPYZYJUYZYZJUY H MN HTH MeJUPJUfR[WbLQ H mXqjOb H QR[]O YZMe[]jfc^aringcent=JKhZ[PKEgrave[Ph H QR[]ONPf H [ H MeJUacute^QEgraveJLhZJUObnJ[SXgY H N H QcY H QcbLNPfXJUN H jehJUYaringccedilaacute uuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml eOgraveWMJLhZJ_uuml thorn timesOslash yuml QsY0NaumlY H N H QsY H QcbLNPfKZOslash[B^JUfe[SX H MeJ[Pcent~JUb H hJ[]QR[]ONPO^tuuml thorn UgraveUcircUacuteUuml yuml N Y H N H QcY H QcbLNPfshyZOslash[B^JUfEgrave[SX H MJaumlcentNPbY`[PhZ[]jO^ hZJ[]QR[]OO^

G []ZOslashJaumlNiKKhZ[]NPbdMeJUY(Kh[PK=[]YZJ H [ bn[]ZOslashKj H J H MeJOtildeJUP[]fsj H QR[]OJBjN H QR[]O [SX H MeJNPb H QVUPJtimesbn[]O H []jhUacutejYZQcO[ H MeJ hZJLJUOWVAiexclQRJZaringNPOO H MeJL[PhZJZ NPO^wNtildejfRJLhVAN[PhNPO[PJJBjN H QR[]OY^OEgraveMBjeumlNPO^frac340jQcfcfcJoa)EgraveMBjNPO^frac340jQcfcfcJSeltfhShS]jKhJUYJUO H NY H N H QcY H QcbLNPfXiacutehNSZOslashJWF[PhY`poundXiacute[PhOslashQZaringN[PJYJ[]ZOslashJUO H N H QR[]OjYZQsO[aNPONPfV[P[PhQ H MZbLNPfsfRJU^n5hJ[]QR[]Obn[]ZOslashKEgraveJ H Q H Qc[]OFp^MeJm^eJLhQVUPJ H MeJeumlNPb H QVUPJbn[]O H []jehJUP[]fcj H QR[]O JBjN H QR[]O centmZaringQsOQZaringQVcurrenUQsO[aringNo[PJUOeJLhNPfcQVcurrenLJU^XNmPJUYDi_wiexcl bnhQ H JLhdQR[]O`QsOYKQRhJU^centm H MeJaring_`jFZaeligVXiacute[Ph^OacuteNPO^ G MNPMJUOeJLhY[Smicircaw_ajFZX[Ph^7NPO^ G MNPMOefhSiSh]j^OcircMeJmKhZ[PKEgrave[]YJ H MeJXiacute[]fcfR[WQcO[aelig^eJUYZbnhQcK H [PhYcopyXiacute[Ph H MeJaumlYJ[]ZaringJUO H N H QR[]O`[SXampY H QcfcfQZ N[PJUYaringEFG FH uuml thorn UgraveUcircUacuteUuml yuml aacute JILK NMregaOtildeKa2atildeshyszligaumlFjPORQ UgraveUcircUacuteUuml juuml thorn timesOslash yuml aacute JILK NMregaOtildeKa2atildeshyszligaumlFjPORQtimesOslashjuuml thorn otilde)yuml aacuteTS admacr]jWMJLhZJUMrega)j9QcY9NiexclKhZ[Pcent-NicentQcfcQ H m^JUOYZQ H m5XqjOb H Qc[]OOeQshytimesNihZJ H MJNtildeKNihdNSZOslashJ H JLhY[SX H MeJ^QsY H hQRcentj H QR[]OX[Ph H MeJaelighZJ[]Qc[]OBVNPO^CSQcYUacuteN KEgrave[]YZQ H QUPJIacutebn[]OY H NPO H ^ not [PhaumlQcfsfcjY H hN~VH QR[]OYe H MeJNPj H Me[PhdYybn[]OYZQc^JLh NPjYZYZQsNPOOslash^QcY H hQccentj H QR[]OYbMNihdNPb H JLhQVcurrenLJU^ centm H WF[KNihdNSZOslashJ H JLhYe H MeJZaringJUNPOIacuteNPO^ H MeJ|UiNihQcNPObnJS^ q ObnJ H MeJWQtimeskWJU^Oe H MeJ0JUP[]fcj H QR[]OJBjN H QR[]O[SXNPONPb H QVUPJ bn[]O H []jhaeligQsYIacutebn[]ZOslashK-j H JU^NPO^^QchZJUb H fVm^eJLhQUPJU^poundXiacutehZ[]ZH MeJbnhdQ H JLhQR[]OO^SMJbLfcNPYZYZQcbLNPfe^JLhQVUiN H QVUPJ([SX H MJ(cent=[]jO^NihYmVcentNPYJU^ H JLhlZ fRJUNP^YH [ H MeJtNtildejbLfcQc^QcNPOpound[PJL[]ZOslashJ H hdQcbMeJUN HYX [Wg^OcircMeJ ^eJLhdQVU~N H QUPJ [SXiexclhZJ[]QR[]OWVcent-NPYJU^H JLhlZ Y QcY H MJUOKEgraveJLhYXiacute[PhlZOslashJU^jYQcO[ H MeJ hZJLJUOWVAQcJZaringNPOO H MeJL[PhJZ NPO^ H MeJNtildejfRJLhVAN[PhNPO[PJaJBjN H QR[]OY^5O^eJLJU^e H MeJeumlbn[]ZOslashKj H N H Qc[]O [SX H MeJaJUP[]fcj H QR[]OJBjN H QR[]OQsYK=JLhlX[PhlZaringJU^ QcO H MehZJLJyZ NPQcO Y H JLKYaringf^Q9hNPOYX[PhZaringN H QR[]Oeuml[SX^e[]ZaringNPQcOQcO H J[PhNPfcYTQcO H [ centEgrave[]jO^NihYmaQcO H J[PhNPfcYTjYZQcO[

H MeJ hZJLJUOeVAQRJZaringNPOO H MeJL[PhZJZ^

uumlnyacute|thornLyuml13

$amp)(+-)013021+345627893lt=gt9A6CB ^vF[]ZOslashKj H N H Qc[]O [SX H MJy0jfcJLhVA9N[PhNPOF[PJOtildeJjN H Qc[]OY^ltO H hZ[W^jb H QR[]O[SXiexclNeuml^mWONSZaringQcbLNPfFYZbdMeJZOslashJ QcO H MeJ0jfRJLhZVA9N[PhNPO[PJ JBjN~V

H QR[]OYQcO [Ph^eJLh H [aeligbn[]ZaringKj H J H MeJ5UPJUfR[BbLQ H mregUPJUb H [Ph[SX H MeJOtildeNPb H QVUPJOtildebn[]O H []jh^MJ UPJUfR[WbLQ H mXiacutejOb H QR[]OoccedilQsY H MJUO bn[]ZaringKj H JU^NPO^Q H fcJUNP^Y H [ H MJ5Xiacute[]fcfR[WQcO[JUP[]fcj H QR[]OJjN H QR[]OOaring aelig Yacuteaelig agrave aacuteacircaduuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml S jeacute ad]jWMJLhZJ QsY H MeJ bLjehlU~N H jehJaring[SXuYacuteaagravej^5O[Ph^eJLh H [aQZOslashK-fRJZOslashJUO HOtildeH MQcYordf|iexcl eNN[PhNPO[]QcNPOXiacute[PhlZtimesjfcN H QR[]O QsY(jYJU^O^JUbnJUO H fmSeampNihN[]Qc[]YNPO^frac34JLhQcbdMeJaNihdN[]QR[]YOtildeNPO^iexclJLhdQcbMeJSefhShSh]jegMNUPJKh[PK=[]YZJU^ NPOJk H JUOYZQc[]O[SX H MeJordfWF[PhY` [SXOcircEgraveMBjNPO^o0jQcfcfcJcentm QZOslashKhZ[UWQcO[ H MeJ^eJUYbnhQRK H [Phaelig[SX H MJbn[]O H []jeh QcO7[Ph^eJLh H [QcObn[PhK=[PhdN H J H MJQCZaringN[PJ[PhNP^QRJUO HNPYiexclQcO[PJL[W^eJUYZQcbIacuteNPb H QVUPJtimesbn[]O H []jehY^gtMeJTJUP[]fcj H QR[]OaJjN H Qc[]OaQcYiexclQZOslashKfRJZaringJUO H JU^jYQcO[ H MeJ(fRJUPJUfBYJ H ZOslashJ H Me[W^aeligQcO H hZ[B^jbnJU^aumlcentm q YZMJLhNPO^ G J H MQcNPOoa q YZMeJLh$NPO^G J H MQcNPOOeltfhSiSi_aNPfcfsNP^Q9J H NPfd^VefhShSmacr G J H MQcNPOOeltfhShS]j^ UPJLhYm QcO H JLhJUY H QcO[KNih H [SX H MQsYyWF[PhY`Oacutebn[]ObnJLhdOY H MeJ QsO H hZ[W^jb H Qc[]O[SXY[]ZOslashJ^eJUYZbnhdQRK H [PhYlaquouuml thorn timesOslash yumlNPO^uuml thorn UgraveUcircUacuteUuml yuml X[PhNiKKfcQsbLN H QR[]OYfcQV`PJ H Jk H jehZJFYJ[]ZOslashJUO H N H QR[]OtimesNPO^gZOslash[UBQcOF[[Pcent~JUb H Y^eJ H JUb H Qc[]OO^

G []ZOslashJT[ H MeJLhUacuteNiKKh[]NPbMeJUYlaquoa)vMN`BhNicentEgrave[Ph H mJ H NPfd^VeltfhShSvMeJUYONPj^ J H NPfd^VefhShSh]j9KhZ[PKEgrave[]YJ H [OtildebMe[B[]YJ(N H JUNPbdMOslashY H JLK H MeJ^QcYKfsNPbnJZOslashJUO H [SX H MeJNPb H QVUPJ(bn[]OWVH []jeh H MN H ZaringN`PJUY H MeJybnhQ H JLhQc[]OOtilde^eJUbnhZJUNPYJS^SvMN`BhNicentEgrave[Ph H miexclJ H NPfd^a)vMN`hNicentEgrave[Ph H mJ H NPfd^VecopyfhShS]jtimesQcO H h[B^jbnJ N`hZJ[]QR[]OWVcentNPYZJU^7NiKKhZ[]NPbMxXiacute[Ph H MeJ YZJ[]ZOslashJUO H N H Qc[]O[SXQZOslashJU^QcbLNPfQZ N[PJUY^ iexclYQcOeKj H [SX H MJUQRhNPfV[P[PhQ H MZe H MeJm bn[]OYQc^eJLh(centEgrave[ H M H MeJNPb H jNPf9QZaringN[PJgOtilde NPO^ H MeJOtildehZJ[]QR[]OWV4bLfsNPYZYZQVJU^ QCZaringN[PJgOtildeoslash^FMeJOtildebLfcNPYZYZQVJU^ QZaringN[PJOtilde oslash QcYiexclbn[]ZOslashKj H JU^`centmwZaringNkeQZaringQVcurrenUQcOF[ H MeJTKEgrave[]Y H JLhQc[Ph^QsY H hQRcentj H QR[]O [SX H MeJThJ[]QR[]OfcNicentEgraveJUfcY[]QUPJUO H MeJQcO H JUOYZQ H maeligQZaringN[PJS^MeJUQRh0hZJ[]QR[]O H JLhlZ JUOXiacute[PhbnJUY H MJcentEgrave[]jO^WVNihYm H [JUObLfc[]YJaringNYZQcOF[]fRJaelighZJ[]QR[]OQcOumlOtildeoslash^MeJaring^JUYZbnhQRK H [PhdYOtildeNihZJ H MeJXiacute[]fcfR[WQcO[WQ H M H MeJauml^QEgraveJLhZJUObnJ H MN HH MeJmWFNPO HH [regZaringNkeQZaringQcurrenLJ H MJTbnhQ H JLhQc[]OocircaringEFG FH uuml thorn UgraveUacuteUuml yuml aacute[Z] Otilde oslash a2atildeltszligaumljuuml thorn times Oslash yuml aacute suuml thorn otilde)yuml aacute[Z cent Otilde_^Ogravea2atildeshyszligaumlFj a)zSjWMJLhZJ]Z NPO^`Z cent NihZJ H WNtilde[7KEgrave[]YZQ H QVUPJbn[]OY H NPO H YNPO^ Otilde_^aQcY H MeJfrac34[PhNP^QRJUO HQZ N[PJS^ KhQc[PhYMNiKEgraveJ H JLhZDQcY(NPfcY[OslashNP^^eJU^ H [ H MJaumlbnhQ H JLhQR[]OeWiexclMQcbMbLNPO centEgraveJQcO H JLhZJUY H QsO[gXiacute[PhZOslashJU^QcbLNPf-QCZaringN[]QcO[gWiexclMeJLhZJ H MJiexclON H jehJ[SX H MeJYZMNiKEgraveJiexcl^[JUYFOe[ HbdMNPO[PJNaumlfc[ H Xh[]Z2QcO^QUBQc^jNPf H [TQsO^QVUWQc^jNPf)^MeJUOeiNPYNtildeQcOwa)EgraveMBjaringNPO^ordm0jQcfcfRJSefhShS]je H MeJWMe[]fRJaumlKhZ[PcentfRJZ QsY(hZJU^jbnJU^ H [ bn[]ZaringKj H QcO[ cent=[]jO^NihYm QcO H J[PhdNPfcYH MNPOF`BY H [ H MeJ hZJLJUOWVAQcJZaringNPOO H MeJL[PhZJZte(hN H MeJLh H MNPO centEgrave[ H M centEgrave[]jO^NihYmNPO^ ^[]ZaringNPQcO QcO H J[PhNPfcY^yacuteMeJQZOslashKfRJZaringJUO H N H QR[]O [SX H MeJNPb H QVUPJ7bn[]O H []jhaQcOa)vMN`hNicentEgrave[Ph H mJ H NPfd^Ve fhShS]jaringQcYaring^e[]OeJacentmjYZQcOF[N not []jehQcJLharingKNihNSZOslashJ H JLhdQVcurrenUN~VH QR[]O^yacuteMeJJkWKhZJUYZYZQc[]O [SX H MeJumlUPJUfR[WbLQ H mAumlUPJUb H [Ph [SX H MeJOacuteNPb H QVUPJ7bn[]O H []jeh QcY

uumlnyacute|thornLyuml13 a

yenKbrvbarsect =4 acirc $ zOe[ H bn[]ZOslashKj H JU^OeNtildecentj HOslashH MeJ bnhQ H JLhQc[]OQcYaringQcO H hZ[W^jbnJU^NPO^ OBjFZOslashJLhQcbLNPfsfVmOacuteJUiNPfuVjN H JU^ QsO [Ph^eJLh H [ ZaringNkeQZaringQVcurrenLJQ H ^ JbLNPO Oe[ H J H MN HH MJeumlNPj H Me[PhYMNUPJKh[PK=[]YZJU^ NlaquoUPJLhYm QcO H JLhZJUY H QcO[aeligJk H JUOYZQR[]O [SX H MQcYWNtilde[Phl` jYQcO[ H MJ5[]NSZaringJ H MeJnV[PhYma)vMN`BhNicentEgrave[Ph H m NPO^jObLNPOOeOfhShSh]j^J[]Qc[]O NPO^ cent=[]jO^NihYmOslashbnhQ H JLhdQR[]OYNihZJYJLKNihdN H JU^OePcentj H JUNPbMaringbnhQ H JLhQR[]Otimesbn[]O H NPQcOY$NPOtimesQsO H JLhNPb H Qc[]OlaquoWQ H M H MeJ[ H MeJLh^ Y H MJ_[]NSZOslashJKhZ[S[PhJUYZYJUYeBcentEgrave[ H MZOslash[W^jfcJUYyQZOslashKh[UPJ H MeJUQRh0KEgrave[]YZQ H QR[]OY H MhZ[]j[]MZtimesj H jNPfQcOFX[PhlZ N H QR[]O YZMNihQsO[^

Oe[ H MeJLhIacuteYZQZaringQcfsNihUacuteNiKKhZ[]NPbMMNPYaumlcentEgraveJLJUOQcO H hZ[W^jbnJU^eumlcentmbvMeJUYZONPj^eumlJ H NPfd^a)vMJUYZONPj^ J H NPfd^VefhShSh]j^FMeJUQchNtilde^eJUYZbnhdQRK H [PhYFNihZJhZJnVJU~NPfsjN H JU^ JUNPbM H QZOslashJUacuteNKEgrave[]QcO H [SX H MJNPb H QVUPJbn[]O H []jehFJUP[]fVUPJUY0YZQsObnJ H MeJUQRh0^JUYZbnhQRK H [PhdY$NihZJY H N H QcY H QcbLNPfXiacuteJUN H jehZJUYOtilde[SX H MeJ QZaringN[PJordm[]fR[PcentNPfsfVm`N HH NPbdMeJU^ H [ H MeJOslashJUP[]fVUWQcO[ hZJ[]Qc[]OY^shyMJmbdMe[[]YZJ H MeJ`hNPO^e[]Z ^QcYKfsNPbnJZOslashJUO H [SXaumlNOacutebn[]OYZQs^eJLhZJU^ KEgrave[]QcO H [SX H MeJ NPb H QVUPJbn[]O H []jehOslashY[ H MN HIacuteH MJ bnhQ H JLhQR[]O7^eJUbnhZJUNPYJUY^$ _X H JLhaeligJUNPbdM ^QcYKfsNPbnJZOslashJUO H [SXNKEgrave[]QcO H [SX H MeJIacuteNPb H QVUPJIacutebn[]O H []jehe H MJT^eJUYZbnhQcK H [PhY(NihZJOtildehZJnV4bn[]ZaringKj H JU^O^

fcN H JLh NiKKhZ[]NPbdM MNPYaringcentEgraveJLJUOQcO H hZ[W^jbnJU^ centm G NSZaringY[]O J H NPfd^_a G NSZ Y[]OJ H NPfd^Ve sSsSs jyacuteXiacute[PhOtildebLfcNPYZYZQbLN H QR[]OaNPO^acentmvMNPO NPO^frac34$JUYJa)vMNPOeumlNPO^frac34$JUYJSesSs fjX[PhaYZJ[]ZOslashJUO H N H Qc[]O [SXaeligY H QcfcfOtildeQZ N[PJUY^yacuteMeJm KhZ[PKEgrave[]YJ H [JZIacutecentEgraveJU^ H MeJbnhQ H JLhQR[]O ^QRhZJUb H fVm`QcO H MJaeligfcJUPJUf$YJ H X[PhlZtimesjfcN H Qc[]OO^Ov(MNPOeumlNPO^$JUYJOslashKhZ[PKEgrave[]YJH MeJordfXiacute[]fcfR[WQcO[Oslash^eJUYbnhQRK H [PhYaringEFG FH uuml thorn UgraveUcircUacuteUuml yuml aacutecb7d Otilde e f centUhguuml thorn timesOslash yuml aacutecb cent Otilde e cent centuuml thorn otilde)yuml aacuteiS adi]jWQ H M e H MeJ NUPJLhN[PJ[SXgOtildeQcOicircOuml timesOslash e e cent H MJ`NUPJLhdN[PJ[SXgOtilde7QsO OumluUgraveUcircUacuteUuml^MeJUYJH WNtilde[ UiNPfcjeJUY NihZJhJnVJUY H QZaringN H JU^ ^jehQcO[ H MeJKhZ[PK-N[]N H QR[]O [SX H MeJbLjhYUPJNPYH MeJaelighZJ[]Qc[]OYJUP[]fVUPJS^shyMeJtimesKNihNSZaringJ H JLhYjb e1b cent egeumlNPO^kSNihJaringY[]ZOslashJaeligKEgrave[]YZQ H QVUPJbn[]OY H NPO H Y^iexclJLhZJ H MJ fRJUPJUfFYJ H ZOslashJ H Me[W^QsYIacute^QchZJUb H fVmjYJU^OacutecentmhJLKhZJUYJUO H QcO[H MeJtimesbLjehYUPJlaquoYacuteaagravejNPY H MeJycurrenLJLhZ[fRJUPJUfampYJ H [SXyNQRKYZbdMQ H currenTbn[]O H QcOBje[]jY_XiacutejOb H QR[]Ol a2atildeshyszligaumlKszligYagravej^]MeJfRJUPJUfWYJ H XiacutejOb H QR[]O l QcYQsO H hZ[W^jbnJU^timesQcO H MeJbnhQ H JLhQc[]OUWQcN H MeJiexclJUNUWQcYZQc^JyacuteXiacutejOb H QR[]Onmra l j^MeJbnhQ H JLhQR[]O QcY H MeJUOoZaringQcOQZaringQVcurrenLJU^WQ H M hZJUYKEgraveJUb HH [ l jYZQcO[OslashNaelighZJ[]jfcNihQVcurrenLJU^UPJLhYQR[]O[SX H MJyZaringQcOQCZaringQVcurrenUN H QR[]O KhZ[PcentfcJZ JIacuteOe[ H JMeJLhJ H MN HFH MeJJUP[]fcj H QR[]OaringJBjN H QR[]O QcY0^QRhZJUb H fVmtimesJkBKhZJUYZYJU^regWQ H M H MJiexclfRJUPJUf-YJ HXqjOb H QR[]O NPO^ Oe[ H WQ H M H MJTbLjehYUPJgYacute|^

G []ZOslashJ[ H MeJLhWNtilde[Phl`BYeBjYZQcOF[auml^QcY H hQccentj H QR[]O H MeJL[PhYmSeBMNUPJcentEgraveJLJUOaringKh[PK=[]YZJU^OslashcentmJLcenthZJUjFUPJaJ H NPf)^_aJLcenthZJUjUPJ J H NPfd^Ve sSs fjXiacute[PhZaringJU^QcbLNPfQCZaringN[]QcO[NPO^ centm 5ZaringNP^QRJUjJ H NPfd^shyaq _Z NP^QRJUj J H NPf)^VeshyfhShSh]jcopyXiacute[PhcentjQsfc^QcO[times^eJ H JUb H QR[]OO^not QcONPfcfVmSe~hZJ[]QR[]OWVcentNPYZJU^aringNPb H QVUPJbn[]O H []jehYNtildeNihZJNPfcY[OtildeKEgrave[WFJLhYXqjf H [[]fsYX[PhNtildebLfcNPY5VYZQbLN H QR[]Opounda13yJcurrencurrenUQJ H NPfd^VeshyfhShSh]j[Ph_ZOslash[ H Qc[]O^eJ H JUb H QR[]Oxaw_aNPOYZ[]jehQgNPO^wcOtilde[]OWVhNP^efhShSh]j^MeJZ N~5[PhOtildebn[]O H hQRcentj H Qc[]Oa[SXy[]jh5WF[PhY`aQsY H [KhZ[PKEgrave[]YJaeligNo[PJUOeJLhNPfQXiacutehNSZOslashJnVWF[PhY`X[PhaumlhJ[]QR[]OWVcentNPYJU^OacuteNPb H QVUPJ bn[]O H []jehY H N`BQcOF[QcO H [NPbLbn[]jO HIacuteH MeJaringbLNPYJ [SX

hZJ[]Qc[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhY^OgraveMeJ UPJUfR[WbLQ H mordmUPJUb H [PhF[SX H MJiexclNPb H QVUPJUacutebn[]O H []jh

uumlnyacute|thornLyuml13 o

i $amp)(+-)013021+345627893lt=gt9A6CBQcYUacutebn[]ZOslashK-j H JU^centm`QcO H hZ[W^jbLQcO[N ^mWONSZaringQcbLNPfampYZbdMeJZOslashJaring^QchZJUb H fVm`QsO H MJaringbnhQ H JnVhQc[]O H [frac34ZaringQcOQZaringQVcurrenLJaeligNPYTQcO aJLcenthJUjUPJ J H NPfd^Ve sSs f 5ZaringNP^QcJUjJ H NPfd^VefhShSh]j^iexcl[WFJUPJLheWFJ KhZ[PKEgrave[]YJ MJLhZJ N OJW Xiacute[PhlZtimesjfcN H QR[]O7[SX H MJ^JLhQVUiN H QR[]OjYZQcO[YZMNiK=JIacute[PK H QZaringQcurrenUN H QR[]O H [B[]fcY^ Q H M YjbM NZaringJ H Me[B^egtWFJtimesNihJaeligNicent-fRJ H [hZJUNP^QsfVmH N`PJQcO H [NPbLbn[]jO HaringH MeJ bLNPYJ [SXhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhY H MN H U~NihYm^jhQcO[ H MeJ KhZ[PKN[]N H QR[]O[SX H MeJ NPb H QUPJ bn[]O H []jeh^MeJUYJ ^eJUYZbnhQRK H [PhYTMNUPJH [centEgraveJtimesbn[]OYZQc^eJLhZJU^ YZQcObnJ H MJmaNihZJlaquoWQc^eJUfmjYJU^X[PhOtildejOYZjeKEgraveJLhYUWQcYJU^YJ[]ZaringJUOWVH N H QR[]O^ not [Ph(YZjbdM hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYbnhQRK H [PhYeOgraveWFJiexclYZMe[W H MN H NP^^Q H QR[]ONPfH JLhlZ Y0NiKKEgraveJUNihNtildeQsO H MeJJUP[]fcj H QR[]OaringJBjN H QR[]O [SX H MeJiexclbLjehlUPJ H MN H MNUPJUacuteOe[ H centEgraveJLJUOKhJUBQR[]jYZfVm bn[]ZOslashK-j H JU^O^

pE paraOacuteOgraveJJTIshyAgravesup1cedilqoacuteIshyacuteLcedilsup3UrltLcedilgtmicrobacuteNsMgtLtrraquoML iquest acuteAgravegtT2MKIOAacutelAcirclaquocedilFAtildeacuteNfrac12oRSJT13AringKacutepoundAEligMKIKJMgtPltLAtildeq jhyZaringNPQcOb[P[]NPfFfsQRJUYTQcO H MeJ JUfsNicent=[PhdN H QR[]O[SXNfrac34[PJUOeJLhNPfXhdNSZOslashJWNtilde[Phl`umlX[Ph H MeJYJ[]ZaringJUO H N H QR[]O7[SXNPO7QZaringN[PJQcO H WF[euml^Q=JLhJUO H hZJ[]QR[]OYtimesjYZQcOF[hZJ[]QR[]OWVcent-NPYJU^NPb H QVUPJIacutebn[]O H []jehdY^ JOtildeKhZ[PKEgrave[]YJ H [ZaringQcOQZ QVcurrenLJ H MeJiexcl[PJUOeJLhdNPfgbnhQ H JLhQc[]O a2jWiexclMeJLhZJUacuteJUNPbM hJ[]QR[]OQcYamp^eJUYbnhQRcentEgraveJU^TjYQcO[UacuteN_XqjOb H Qc[]OtimesbLNPfsfRJU^ n^eJUYZbnhQRK H [Ph[SX H MeJhZJ[]QR[]Op^i YampKhZJUWQuV[]jYfVmOtilde^eJ H NPQcfRJU^OeNiexcl^eJUYbnhQRK H [PhQcY9N XiacutejOb H QR[]O H MN H ZOslashJUNPYZjhZJUY H MJNtildeMe[]ZOslash[S[PJUOJUQ H m[SXyN hZJ[]QR[]OO^Egrave_[]Y H [SXyhJUfRJU~NPO H Y H N H QcY H QcbLNPf^eJUYZbnhQcK H [PhY^JLK=JUO^ H MeJZaringYZJUfVUPJUY[]O H MeJOslashhJ[]QR[]OO^ G []ZOslashJOslashJkeNSZOslashKfRJUYOtildeNihJordm[]QVUPJUOQcO G JUb^shy^ macr^ not [PhTJkWNSZOslashK-fRJSe H MeJhZJ[]Qc[]Oa^eJUYZbnhdQRK H [Phordfuuml thorn timesOslash yuml bLNPO centEgraveJTbM[]YJUOeumlNPY H MJyUiNihQcNPObnJvu centtimesOslash [SX H MeJThJ[]QR[]OOumlcopytimesOslashFeWMQcbdM[]QVUPJUYaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashj|aacute[u centtimesOslash aacutexw$ aOtilde SOtimesOslashjUcirccent atilde aumlw$ atilde aumlWMJLhZJSOtimesOslash QcY H MJyZOslashJUNPO [SX H MeJaumlhJ[]QR[]OwOumlcopytimesOslash^ G jbMaNaring^eJUYZbnhQcK H [PhQcY(ONSZaringJU^aNn5hZJ[]Qc[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhlpOslashYZQcObnJaumlQ H ^eJLKEgraveJUO^YF[]O H MeJaumlhJ[]QR[]OwOuml timesOslash ^q ObnJ H MeJTbnhdQ H JLhQR[]O QcYQcO H h[B^jbnJU^OeWNtildeJTKhZ[PKEgrave[]YJ H [ bn[]ZaringKj H J H MeJTJUP[]fcjWVH QR[]OUacuteJBjN H QR[]OT[SX H MJ0bn[]O H []jh H MN H WQsfcfZaringN`PJ0Q H JUP[]fVUPJ H [WNih^YNyacuteZaringQcOQCZIacutejFZ[SX H MeJTbnhdQ H JLhQR[]OjYZQcO[OslashNaringOeJWH0jfcJLhQcNPOZOslashJ H Me[W^O^ H XqjO^NSZOslashJUO H NPfcfVm ^QEgraveJLhYXiacutehZ[]Z2[ H MJLhFNiKKhZ[]NPbMeJUYFYZQcObnJyacuteWNtildeJ_`PJLJLK H MJ Xiacute[PhlZIacutejfcN H QR[]Oaring[SXhJ[]QR[]OY0QsOY H JUNP^[SXyhJU^jbLQcO[ H MeJWiexclMe[]fRJTKhZ[PcentfRJZ H [ centEgrave[]jO^NihYm QcO H J[PhNPfcY^gtO^JLJU^OeWFJlaquohY HQcO H hZ[W^jbnJFNiexcl^mWONSZaringQsbLNPfYZbdMeJZOslashJ(QcO H MeJ(bnhQ H JLhQc[]OIacuteNPO^ H MeJUOWFJbn[]ZaringKj H J H MeJNtildejfRJLhQcNPO`^eJLhQVUiN H QVUPJaelig[SX H MJOslashJUP[]fVUBQsO[ bnhQ H JLhQR[]O`centm`jYZQsO[ YMNiKEgraveJIacute[PK H QCZaringQVcurrenUN~VH QR[]O KhQsObLQRKfRJUY^]MQcYZOslashJ H Me[W^ KhZ[UWQc^eJUY H MeJUacuteNP^U~NPO H N[PJ H MN HH MeJ5U~NihdQcN H QR[]O[SXehZJ[]Qc[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYbnhQRK H [PhYltWQ H M H MeJFJUP[]fcj H QR[]OIacute[SX H MeJNPb H QVUPJ(bn[]O H []jhbLNPO centEgraveJOtildehZJUNP^QcfVm H N`PJUO`QcO H [ NPbLbn[]jO H ^MeJTbn[]ZOslashKj H N H QR[]Oa[SX H MJTJUP[]fcj H Qc[]OaJBjN H QR[]O`[SX H MeJIacuteNPb H QUPJtimesbn[]O H []jehOtildeQcYKEgraveJLhYXiacute[PhlZOslashJU^QcO H MehJLJyZaringNPQcO Y H JLK-Yaring

uumlnyacute|thornLyuml13 y

yenKbrvbarsect =4 acirc $ hf^ltO H hZ[W^jb H QR[]O[SX$NOslash^mWONSZaringQcbLNPfYbMeJZOslashJSaring JTYJUNihbdMX[Ph H MeJOtildeKNih H Q H Qc[]O[SX H MeJaumlQZ N[PJadOumlcopytimesOslashszliglOuml UgraveUcircUacuteUuml szligYYacutejWMQcbdMZaringQcOQuVZaringQVcurrenLJUY H MeJbnhQ H JLhQR[]Oocirc|adOumlcopytimesOslashgtszliglOuml UgraveUcircUacuteUuml szligYYacutej^eJUYZbnhQRcentEgraveJU^aeligQcOa2j^ MQcfRJNPYZYZjZaringQcO[

H MN H NPO`[PK H QZaringNPf9KNih H Q H Qc[]O JkWQsY H Ye H MJTQcYZYZjJTQcY H [ bn[]ZOslashKj H J H MQcYiexclY[]fcjWVH QR[]OO^ G QsObnJ H MeJ YJ H [SX(NPfcfy^e[]ZaringNPQsOYaumlMNPYIacuteOe[ H NaY H hjb H jehZJOslash[SXcopyUPJUb H [PhQsNPfYKNPbnJSeQ H QcYauml^Qz bLjf HUacuteH [abn[]ZOslashKj H J H MeJ ^eJLhdQVU~N H QUPJOslash[SX H MJ bnhQ H JLhQc[]ONPb|Vbn[Ph^QcO[ H [ H MJ^e[]ZaringNPQsOY^_[ bLQchbLjFZUPJUO H H MQcY`KhZ[PcentfcJZeyacuteWFJNiKKfmN H hNPOYYX[PhlZ N H QR[]O| H [ JUNPbM^e[]ZaringNPQsOOeYZjbdM H MN H Q H centEgraveJUbn[]ZOslashJUY`bn[]OWVH QcOj[]jYZfVm^eJLKEgraveJUO^eJUO H []O NPO JUP[]fsj H QR[]O KNihNSZOslashJ H JLhagrave^MeJ`bnhQ H JLhQR[]Ocent=JUbn[]ZaringJUYT^eJLKEgraveJUO^eJUO H []Obagravearingocirc|aagravejgaacute ocirc|adOumlcopytimesOslashaagravejszliglOuml UgraveUcircUacuteUuml aagravejszligYYacuteaagravejj^QO H MQcY^mBONSZaringQcbLNPfTYbMeJZOslashJSeiexclWFJ bLNPO hJUNP^QcfVm H N`PJQcO H [ NPbLbn[]jO H N K=[]YYZQRcentfRJU~NihQsN H QR[]O[SX H MeJ ^eJUYZbnhdQRK H [PhYWQ H M H MeJJUP[]fVUWQcO[ hZJ[]QR[]OYk|adOuml times j aacuteOumlcopytimesaagravej^

^QiexclJLhdQVU~N H Qc[]O [SX H MeJaumlbnhQ H JLhQc[]O jYZQcO[OslashYZMNiK=JOtilde[PK H QZaringQVcurrenUN H QR[]O H MJL[PhZJZaringYaringMeJNtildebnhdQ H JLhQR[]OocircOcircaagravej9QcY H MeJUOIacute^JLhQVUPJU^TNPbLbn[Phd^QcO[ H [5agrave H MNPO`WY H [ H MeJFbn[]ZaeligVKj H N H QR[]Oeuml[SX H MeJ0jfRJLhQcNPOeuml^eJLhQU~N H QVUPJaelig[SX_ocircjYZQcO[YZMNiKEgraveJaelig[PK H QZ QVcurrenUN H QR[]OKhQcObLQcKfRJUYeOWMQcbMQcYIacuteOJWQsO H MeJNihZJUN [SXNPb H QVUPJ bn[]O H []jehY^$ YXqNihOslashNPYH MeJF^JLhQVUiN H QR[]OTQcYbn[]ObnJLhOeJU^e H MeJU~NihdQcN H QR[]OIacute[SX H MeJF^JUYZbnhQRK H [PhdYWQ H M H MeJJUP[]fVUBQsO[OslashhZJ[]QR[]OY_Oumlcopytimesaagravej(NPO^Y[ordmWQ H MagravetZIacutejY H centEgraveJ H N`PJUOaQcO H [aringNPbLbn[]jO H ^

^vF[]ZOslashKj H N H Qc[]O [SX H MJaumlJUP[]fcj H QR[]OJjN H Qc[]OXh[]Z H MeJauml^eJLhQU~N H QVUPJSaringnot hZ[]Z H MeJNtilde^JLhQVUiN H QVUPJSeWFJNtilde^eJU^jbnJ H MeJUPJUfR[WbLQ H mordfUPJUb H [Ph$[SX H MeJFNPb H QVUPJbn[]OWVH []jeh H MN H WiexclQcfcfZaringN`PJQ H JUP[]fUPJiexclNPYXqNPY H NPY$KEgrave[]YZYQRcentfRJ H [WNih^YNtildeNgZaringQcOQCZIacutejFZ[SX H MeJOtildebnhQ H JLhdQR[]OO^ObLNPYJUacute[SX9hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhYe H MeJUacuteJUP[]fcjWVH QR[]OeumlJjN H QR[]Oeuml[SX H MJaringNPb H QVUPJaringbn[]O H []jhTQcYOtilde^QEgraveJLhZJUO H XhZ[]Z H MJtimes[]OJaringbn[]ZaeligVKj H JU^ Xiacute[Ph hZJ[]QR[]OWV4QcO^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhY^ G []ZOslashJ`NP^^Q H QR[]ONPf H JLhZaringYNiKKEgraveJUNihiexclNPO^`Y[ Q H QcY[SX$KhdQZOslashJaumlOeJUbnJUYZYQ H m H [bn[]OYZQc^JLh H MeJ H WNtilde[o`WQcO^Y([SX^eJUYZbnhQRK H [PhY(YJLKNihN H JUfmS^

9J H jYFOe[ H J H MN HFH MQcY[PJUOeJLhNPfKXiacutehNSZOslashJWF[PhY` bLNPO centEgraveJNiKK-fcQRJU^ H [ordmZaringNPOm ^QEgraveJLhVJUO H NiKKfsQcbLN H QR[]OYcentm[]OfVmbMNPO[]QsO[ H MeJT^eJUYbnhQRK H [PhY^ H MNPYcentEgraveJLJUOOe[ H NicentfmNiKK-fcQRJU^ H [ordmZOslash[UBQsO[aelig[Pcent~5JUb H Y(^J H JUb H QR[]O QcOoUBQs^eJL[timesYZJjeJUObnJUY(NPbjQchZJU^ JUQ H MeJLhWQ H MN Y H N H QcbawS]JUMNPOWV4XFJUYZY[]O J H NPfd^Ve sSs fLbjiexcl[PhUacuteNregZOslash[Pcent-QcfRJTbLNSZOslashJLhdNawS]JUMNPOWVXFJUYZY[]O J H NPf)^Ve sSs fncentj^ JUYZbnhQRK H [PhdYoZ Nm NPfcY[centEgraveJ YJBjeJUO H QcNPfcfVm jYJU^ H [QZaringKhZ[UPJ H MeJu-ONPfBhZJUYZjf H NPYyQ H MNPYampcentEgraveJLJUOaeligKh[PK=[]YZJU^timesQsOtawSPJUMNPOWV4XFJUYZYZ[]OOslashJ H NPfd^VesSs fLNOgravej^^f^~OacuteETHEgraveKEacute18=KETH32EacuteltOacuterEacute0frac34Ntilde83ltOacuteONtildeshyIacute=gtNtildeshyEumltIcirc=39IgraveFIacute5Igrave O QZaringN[PJumlOtildegta2atildeltszligaumlj QcYNxXqjOb H QR[]O ^eJOJU^ Xiacute[Phpounda2atildeshyszligaumlFj OumlOcirccenteuWMeJLhZJOumloslashQcY H MeJ QZaringN[PJ ^e[]ZaringNPQcOO^ltMeJ QCZaringN[PJ ^e[]Z NPQcOQcYIacutebn[]OYZQc^eJLhJU^ H [ cent=JZaringNP^eJjeK`[SX H WF[KNih H Ylaquoa not Q[^fjaring H MJyXiacute[PhZJ[PhZ[]jO^`KNih H bn[]O H NPQsOQcO[ H MeJT[Pcent~JUb H Y H [

uumlnyacute|thornLyuml13

f s $amp)(+-)013021+345627893lt=gt9A6CBYJ[]ZaringJUO H e=Oe[ H JU^frac34OumlcopytimesOslashFe-NPO^ H MeJaumlcent-NPbY`[PhZ[]jO^aKNih H Oe[ H JU^Ouml UgraveUcircUacuteUuml ^MeJauml^QcYZbn[]OWVH QcOBjQ H m`YJ H QcYOtildeNbLjehlUPJ Oe[ H JU^bYacute H MN H ^JOeJUY H MeJ cent=[]jO^NihYmcentEgraveJ H WNtildeJLJUO H MeJH WNtilde[ ^[]ZaringNPQcOY^ J H MJUOaYJUNihbdMtXiacute[Ph H MeJ H WNtilde[^e[]ZaringNPQsOYyacuteOuml UgraveUcircUacuteUuml NPO^wOumlutimes OslashWMQcbdMtZaringQcOQZaringQVcurrenLJ H MeJbnhQ H JLhQR[]Oocircuml[]QVUPJUOcentmumla2jehZJZaringQcO^eJU^ MeJLhZJSaring

ocirc|adOuml UgraveUcircUacuteUuml szliglOumlcopytimesOslashgtszligYYacuteQjumlaacute uuml thorn UgraveUcircUacuteUuml yuml a2atildeltszligaumlgtszliglOuml UgraveUacuteUuml j atilde auml $ uuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOuml timesOslash j atilde aumlamp uacuteucirc thorn yuml uuml thorn otilde)yuml a2atildeshyszligaumlFj THORN5OaumlbnhQ H JLhdQR[]Oa2je H MeJ|hY HH WNtilde[ H JLhlZaringY9NihJyhZJ[]QR[]OWVcent-NPYJU^ordfWMQsfRJ H MeJ H MQRhd^ H JLhlZQcYcentEgrave[]jO^NihYmVcentNPYJU^O^MeJiexclXqjOb H QR[]OYyacuteuuml thorn UgraveUcircUacuteUuml yuml egtuuml thorn timesOslash yuml NPO^tuuml thorn otilde)yuml NihZJaumlhZJUYKEgraveJUb H QVUPJUfmH MeJ^eJUYZbnhdQRK H [PhY[SX H MeJFcentNPbl`[PhZ[]jO^timesKNih H ei[SX H MeJ[Pcent~JUb H Y H [OtildeYJ[]ZOslashJUO H NPO^Iacute[SXH MeJaumlbn[]O H []jeh^KMeJauml^eJUYbnhQRK H [PhYuZ Nm centEgraveJordf[]fR[PcentNPfcfm N HH NPbMJU^ H [ H MeJOtildeJUP[]fVUWQcO[hZJ[]Qc[]OY(NPO^Y[ ^eJLKEgraveJUO^ []Ofrac34Ouml timesOslash [Ph5OumluUgraveUcircUacuteUuml^

G QcObnJ H MeJaringYJ H [SXNtildeNPfsf$^e[]ZaringNPQcOYUacuteMNPYOtildeO[ H N Y H hjb H jehJtimes[SXUPJUb H [PhQcNPfyYZKNPbnJSeWFJIacutebLNPOeumlOe[ H bn[]ZOslashKj H J H MeJaelig^eJLhQVUiN H QVUPJT[SX H MJIacuteKhJUBQR[]jYbnhQ H JLhdQR[]OaNPbLbn[Ph^QcO[H [euml^e[]ZaringNPQcOY^ltMJLhZJX[PhJSe H [bn[]ZOslashKj H JNPO[PK H QZaringNPfFY[]fcj H Qc[]OOe9Neuml^mWONSZaringQcbLNPfYZbdMeJZOslashJOtildeQcYQcO H hZ[W^jbnJU^WMeJLhZJJUNPbM^[]ZaringNPQcO cent=JUbn[]ZaringJUY(bn[]O H QcOBje[]jYfVm ^eJLKEgraveJUOWV^eJUO H []ONPO JUP[]fcj H QR[]O KNihdNSZOslashJ H JLhagrave^59[ X[PhZaringNPfcQVcurrenLJ H MQcYQc^eJUNe WNtildeJxZaringNmYZjKKEgrave[]YJ H MN HTH MJ JUP[]fcj H Qc[]OKhZ[WbnJUYZYtimesQcY H [ H NPfsfVm^eJ H JLhlZaringQcOJU^centm H MJ JkeQcY5VH JUObnJiexcl[SXgNyXqNSZaringQcfmIacute[SXgNiKK-fcQcbLN H QR[]OY| H MN HNtildeH hNPOYXiacute[PhlZaringY H MeJiexclQsOQ H QcNPfe^e[]Z NPQcOYOumlcopytimesOslashgta s jNPO^tOuml UgraveUcircUacuteUuml a s jQsO H [ H MeJIacutebLjehZhZJUO H ^e[]ZaringNPQcOYyacuteOumlcopytimesOslashKaagravejNPO^frac34Ouml UgraveUcircUacuteUuml aagravejaring

OumlutimesUcirca s j ntilde OumlcopytimesaagravejYacutea s j ntilde Yacuteaagravej WiexclMeJLhZJVQaacuteiV[Ph Kf5 iumlMBjY H MeJOtildehJ[]QR[]OY(JUP[]fVUPJ H [WNih^YiexclNPO [PK H QZaringNPf9Y[]fcj H QR[]O^MeJ H hQRKfcJ H Ouml UgraveUcircUacuteUuml aagravejszliglOumlcopytimesOslashOaagravejszligYYacuteaagravejordmZIacutejY H NPb H NPYNregZaringQcOQZ QVcurrenUQcO[TYZJjeJUObnJgX[Phocirc|adOuml UgraveUcircUacuteUuml szliglOumlcopytimesOslashszligYYacutejWiexclMeJUOagrave JUP[]fVUPJUY^MeJ5XqjOb H QR[]ONPfOocircOcircadOuml UgraveUacuteUuml aagravejszliglOumlcopytimesOslashaagravejszligYYacuteaagravejjMNPY H [ bn[]OOgraveUPJLhY[PJ H [WNih^Y H MeJpoundZaringQcOQCZIacutejFZ UiNPfcjeJeuml[SXregocirc2NPYfrac34agraveacircntilde ograveegrave^ MeJbnhQ H JLhQR[]O H MeJUO centEgraveJUbn[]ZOslashJUYaring

ocirc|adOuml UgraveUcircUacuteUuml aagravejszliglOumlcopytimesOslashaagravejszligYYacuteaagravejjaacute thorn yuml uuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszliglOuml UgraveUcircUacuteUuml aagravejj atilde auml 5$ thorn yuml uuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashKaagravejj atilde aumlj uacuteucirc thorn yuml uuml thorn otilde)yuml a2atildeshyszligaumlFj THORN adh]jMJoXqjOb H Qc[]ONPf_ocircOcircadOumlyacuteUgraveUacuteUumllaagravejszliglOuml timesOslash aagravejszligYYacuteaagravejjaeligQcY H MeJLhZJUNX H JLh O[ H JU^egraveocirc|aagraveje0NPO^H MeJ ^eJUYZbnhQcK H [PhYuuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashKaagravejj NPO^icircuuml thorn UgraveUcircUacuteUuml yuml a2atildeltszligaumlgtszliglOuml UgraveUcircUacuteUuml aagravejjaringNihZJ`hZJUYKEgraveJUb|VH QVUPJUfmUacuteO[ H JU^laquouuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejgNPO^laquouuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszligYagravejeWMQcbdMTfRJUNP^Y H [ H MeJXiacute[]fcfR[WQcO[

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ fSfJkWKhZJUYZYQR[]OOaring

ocirc|aagravejumlaacute thorn yuml uuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszligYagravej atilde auml $ thorn yuml uumlgtthorn timesOslash yuml a2atildeltszligaumlgtszligYagravej atilde aumlj uacuteucirc thorn yuml uumlgtthorn otilde)yuml a2atildeshyszligaumlFj THORN af s j5OOtildebn[]O H hdNPY H WQ H MUacute[ H MeJLh9NPb H QVUPJFbn[]O H []jehdY9NiKKh[]NPbMeJUYe H MeJy^mWONSZaringQcbLNPfPYZbdMeJZOslashJQcYtimesMeJLhZJ^QRhJUb H fVmQcO H h[B^jbnJU^QcO H MeJbnhQ H JLhQc[]OO^ Q H MYZjbdMNeumlYZbdMeJZOslashJSe H MeJQcO H hZ[W^jb H QR[]OOacute[SXiexclNPO NPb H QVUPJbn[]O H []jehOslashJUP[]fVUWQcO[ WQ H Msup1agraveQcYaeligY H hNPQ[]M H Xiacute[PhYWNih^O^iexclJUObnJ WNtildeJbn[]OYZQc^eJLh H MN H Yacuteaagravej QsYoZaring[B^eJUfsfRJU^ NPY NPO NPb H QUPJOacutebn[]O H []jh H MN Hbn[]OUPJLhY[PJUY H [WNih^Y H MJgONPfEgraveJkWKEgraveJUb H JU^YJ[]ZOslashJUO H N H QR[]OO^9J H Yacutea s jtimescentEgraveJ H MeJQcOQ H QcNPfNtildebLjhYUPJa^eJOJU^centm H MeJjYJLh^ JahZJUbLNPfcf H MN H WFJYJUNihdbMtXiacute[Ph YacuteaagravejNPYNaringbLjehlUPJaumlJUP[]fVUWQcO[aringNPbLbn[Ph^QsO[ H [ H MeJgXiacute[]fcfR[WQcO[ordm5 aringaelig YacuteadTHORNOgraveszligYagravejaelig agrave aacuteegraveeuml WiexclQ H MigraveYacutea s j|aacuteegraveYacuteshyiacute afSfjWMJLhZJ_euml`QcY H MJ_UPJUfR[WbLQ H mUPJUb H [Ph([SX H MeJUacuteNPb H QVUPJOtildebn[]O H []jh^MeJ_Z NPQcO KhZ[PcentfRJZfcQcJUYFQsO-O^QcO[ H MeJiexclUPJUfR[WbLQ H meumlXhZ[]Z H MJUacutebnhdQ H JLhQR[]Opoundaf s jFQcO [Ph^JLh H [ordm[PJ HH MeJXqNPY H JUY H bLjhYUPJaumlJUP[]fcj H Qc[]O H [WNih^Y H MeJordfONPfYJ[]ZaringJUO H N H QR[]O^^ ^iexclEacuteltIacuteETHNtildeFETHEacuteshyOacute Eacute10wETH9Igrave8ltIgraveFEgravegt+NtildeFETH3gt+ltIgraveumlEacute10frac34ETH9Igrave=KEgrave13ETHIgraveFEgraveEacuteshyOacute5Oeuml[Ph^eJLh H [ [Pcent H NPQsO H MeJOslashJUP[]fcj H QR[]OeumlJBjN H QR[]Oe H MeJaringbnhQ H JLhQc[]OxocircOcircaagravej5ZtimesjY H centEgraveJ^QV=JLhZJUO H QcN H JU^WQ H MhZJUYKEgraveJUb H(H [agrave^MeJOtildeQcO H J[PhNPfcentEgrave[]jO^Y^eJLKEgraveJUO^ []Otagrave NPO^H MeJauml^JUYZbnhQRK H [PhdYyacuteuuml thorn UgraveUcircUacuteUuml yuml a)jNPO^wuuml thorn times Oslash yuml a)juZaringNm NPfcY[aring^JLK=JUO^[]Otagrave^9J H jY^eJOJ H MeJordfXiacutejOb H QR[]ONPfuumlOa2atildeltszligaumlgtszligYagravejYZjbM H MN H aring

uumlOa2atildeltszligaumlgtszligYagravej|aacute uuml thorn UgraveUacuteUuml yuml a2atildeltszligaumlgtszligYagravej QVXcopya2atildeltszligaumljwOuml UgraveUcircUacuteUuml aagravejuuml thorn times Oslash yuml a2atildeltszligaumlgtszligYagravej QVXcopya2atildeshyszligaumlFjtOumlcopytimesOslashKaagravej af jMJbXqjOb H QR[]ONPfuuml thorn UgraveUcircUacuteUuml yuml a)jNPO^Huuml thorn times Oslash yuml a)j`NihZJ^eJOJU^ []O H MeJxWMe[]fRJ7QZaringN[PJ^e[]Z NPQcOtOumliexcl^FMeJUOe H MeJaumlbnhQ H JLhQc[]OocircOcircaagravejuWhQ H JUY(NPYaring

ocirc|aagravejOcircaacute uacute uumlOa2atildeshyszligaumlKszligYagravej atilde aumlj uacuteucirc thorn yuml uumlgtthorn otilde)yuml a2atildeshyszligaumlFj THORNordfaacuteocirc aagravej ocirc cent aagravej af]jWMJLhZJgOuml QcY H MeJaumlQCZaringN[PJT^e[]ZaringNPQsOOeeNPO^Oaring

ocirc aagravej|aacute uacute uumlOa2atildeshyszligaumlKszligYagravej atilde aumlocirc cent aagravejOcircaacute uacuteucirc thorn yuml uuml thorn otilde)yuml a2atildeshyszligaumlFj THORN

uumlnyacutenthornnyumll13YSordmY_F

f $amp)(+-)013021+345627893lt=gt9A6CB5OOtilde[Ph^eJLh H [bn[]ZaringKj H J H MJ0^eJLhQVUiN H QVUPJy[SX H MJNtildebnhQ H JLhdQR[]Olaquoocirc aagraveje H MJNtilde^QcYbn[]O H QcOBjWVQ H QcJUY|ZtimesjY H JkWKfcQcbLQ H fVmIacutecentEgraveJ H N`PJUOQcO H [IacuteNPbLbn[]jO H ^ not [Ph(YZjbdM NIacuteKjehZKEgrave[]YJSeSWFJ5hY HhZJUbLNPfsf-N[PJUOeJLhNPf H MeJL[PhJZbn[]ObnJLhOQcO[ H MeJUacute^eJLhQVUiN H QVUPJ[SX9N H QZOslashJnV4^eJLKEgraveJUO^JUO HbnhQ H JLhQR[]OO^9J H jY(^eJ-OeJyOumlcopytimesaagravejNPYNOslashhZJ[]Qc[]OQcObLfcj^eJU^QcO H [regOumlordf^yacute5 q Ntilde_ f^1ltuumlStimesBiexcl centpoundcurrenyencurrenbrvbarsectumlordfcopynotlaquo3shyyenLregmacrcurrenRlaquodegcurrenbrvbarlaquo Oumlplusmna s szligsup2|iexcljsup3acute Rlaquomicromiddotparagtltocirc|aagravejOcircaacute w thorn yuml uumlStimesYa2atildeltszligaumlgtszligYagravej atilde auml~sup3cedilsectsup1ltlaquoordm ocirc agrave aacuteocirc7raquodaagravejOcircaacute thorn yuml aelig uumlStimesaelig agrave atilde auml uacutefrac14 thorn yuml uumlStimesYafrac34frac12 eacuteAgraveiquestsup1AacuteAtildeAcircYj THORNAuml sectsup1ltAringPfrac12AEligreg(centsectsup1Ccedilbrvbar_paracurrenyenshyltregLLEgraveacutecurrensup2uml aelig Oumlcopytimesaagravej RlaquomicroeacuteAgraveiquestsup1AacuteAtildeAcircEacuteregEcirccentsectsup1copysup1laquoregEumlreg(laquo Auml brvbarAringsup2microacutelaquocurrenRAringordfpound RparaIgravecurren aelig Oumlcopytimesaagravej_IacuteMJ^JLhQVUiN H QVUPJ[SXshyocircWQ H MaelighZJUYZK=JUb HampH [yagraveaeligQcY H MJyacute0jfRJLhdQcNPOIacute^JLhQVUiN H QVUPJ([SXocirc|adOumlcopytimesAjQcO H MeJOtilde^QRhJUb H QR[]O [SXEumlfrac12umleWMQcbdM bn[]ZaringKj H N H QR[]O QcY[]QVUPJUO QsO iexclKKEgraveJUO^Qkaring ^FMeJUiNihQcN H QR[]Oeuml[SX5ocirc QcYOtilde^jeJ H [ H MeJUiNihQcN H Qc[]O[SX H MeJordmXiacutejOb H QR[]ONPfOcircuuml]timesa2atildeltszligaumlgtszligYagravejaumlNPO^H [ H MeJgZOslash[ H Qc[]O[SX H MeJOtildeQcO H J[PhNPf^e[]ZaringNPQsOOumlutimesaagravej^ Y(Naeligbn[PhZ[]fcfcNihYm [SXltMJL[PhZJZfeFWFJordf[PJ H aringv q q shy9 5lt f^yenIcirccopyNcentampcentcopyIuml-Iumlsup1currenfcentyenYsectnot -sectsup1Ymicro-currenRpound Rreglaquofrac34Oumlgaagravejampreg(centpound -microETHcopyIumliexclcurrensup2uml Auml currenCIuml RAringordfcentsup3yOuml timesOslash aagravejNtilde RlaquomicropoundOumlyacuteUgraveUacuteUumllaagravejOgravecentyenfrac34Iumlsup1 brvbarAringsup2 brvbarmicro_Egraveh iexclpoundYcurrenbrvbarCcedildreglaquoNOacutehreglaquo5_Aringumllt -shytYacuteaagravejAuml sectETHregmacrshy_sectOcircCcedilRltparaOtildecurrendshyltregLLEgraveregEcirccentyacuteeumlEumlIacuteOumlsectsup1Uumlordfcopynotlaquo3shyyenLregmacrcurrenRlaquouumlOa2atildeltszligaumlgtszligYagravejreg(centcentordfcopyIuml-Iumlsup1currenfcentyenmicroOcircIgravecurrenOcirccentltfrac34Iuml RAringsup2 -_paraEgraveshycurrenRlaquo5LreglaquocopycurrenRcopynotcentcedilreglaquoyOumlcopytimesOslashKaagravejW Rlaquomicro Ouml UgraveUcircUacuteUuml aagravej_copy3pound REgraveampJmicrobrvbarregEcirccentltshycurrenRlaquo5LreglaquocopycurrenRcopynotcentJ -shyltAringPcurrenfcentcentYacuteaagravej_Iacutetimes Agravelaquocurrenbrvbaruuml thorn times Oslash yuml Rlaquomicroruuml thorn UgraveUcircUacuteUuml yuml sup3sectsup1Ccedilf brvbarparacopy5iexclcurrensup2umlwuumlreglaquoOslashAringordfcentIumlshydLreg(Ccedilbrvbar_paraEgraverOumlutimes OslashaagravejAgrave Rlaquo3microOuml UgraveUcircUacuteUuml aagravej_IacuteUgraveOumlsectNcopyNcentampsectmicroETH_Aringordfreg(CcedilR brvbarLregCcedilRcurrensup2umlordfocirc|aagravej Auml AringregLordfcent fcent_ordm

ocirc7raquo)aagravejOcircaacuteUacute thorn yuml aelig uumlaelig agrave atilde auml uacutefrac14 thorn yuml uumlOaLUcirc eacute iquestsup1Aacute j THORN uacuteucirc thorn yuml uumlNaeuml eacuteHj THORNAuml sectsup1ltAringPacute uumlNAringfrac34Iuml3AringP_centlt_laquocentYsectUumlordfcopysup1poundUgraveIumlcurrensup2umlguumlh -shyltAringPcurrenfcentcentordfYacuteaagravej_ordmW uumlNaacuteacircuuml thorn UgraveUacuteUuml yuml uuml thorn times Oslash yuml sup3eacute sectsup1ncopynotlaquo5reglaquo3currenRAringpound RparaIcirccurrensup2umlordfYacuteaagravejmicrobrvbarreg(AringshydmicroampumlAringPcurrenRpound Ouml UgraveUacuteUuml aagravejIgravecurrenOumlutimes OslashKaagravejsup3eacuteAgraveiquestsup1Aacutesectcopysup1laquoregLEumlreglaquo Auml RAringPmicroOcirclaquocurrenRAringordfpound Rpara1Igravecurren aelig Oumlgaagravejj RlaquomicroUcircYacutesectsup1jCcedilbrvbar_paracurrenyenshyltregLLEgravenCcedilbrvbarshydIgravecurrenRAringjcurrensup2uml_Oumlyaagravej_Iacute

plusmngLMOMraquo aring JbLNPO NiKKfVm MJL[PhZJZ f H [ H MeJ ^[]ZaringNPQcO Oumlutimes OslashaagravejaringNPO^ H [ H MeJ^e[]Z NPQcOtOuml UgraveUcircUacuteUuml aagravej^ ^^QcO[ H MeJ H WF[aringJjN H QR[]OYeFWFJOtilde[Pcent H NPQcO H MeJTbn[PhZ[]fcfsNihYmS^ H QcYIacuteOe[WY H hNPQ[]M H Xiacute[PhYWNih^ H [[PJ HtimesH MeJ ^eJLhdQVU~N H QUPJ [SX H MeJ bnhQ H JLhQR[]O ocirc aagravejaringWFJ H N`PJ5OumlyaagravejOcircaacuteAumlOuml H MeJiexclQZaringN[PJ^e[]Z NPQcOta not QV[^ j^MJUOOePcentmaeligJkWKfcQcbLQ H fVm H N`WQcO[

uumlnyacutenthornnyumll13YSordmY_FY

yenKbrvbarsect =4 acirc $ fH MeJtimes^QcYZbn[]O H QcOBjQ H QRJUY(QsO H [ NPbLbn[]jO HUacuteH MNPOF`BY H [ H MeJtimesbn[PhZ[]fcfcNihlmSe H MeJtimes^eJLhQVUiN H QVUPJ[SXocirc aagravejQcYcopy[]QVUPJUOacentmKaring

ocirc raquo aagravejumlaacute uacuteucirc thorn yuml uumlNaeuml eacutej THORN uacutefrac14 uumlOaLUcirc eacuteAgraveiquestsup1Aacutej THORN $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde auml thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afj

q centUWQR[]jYZfVmSe H MeJ7YJUbn[]O^ H JLhlZ [SX H MeJ7^eJLhQVUiN H QVUPJ afjaQcYcurrenLJLh[ YZQcObnJ H MeJJk H JLhONPf(centEgrave[]jO^NihYm aelig OumlD[SX H MeJ`QZaringN[PJaQcYkBJU^^OcircJLKfcNPbLQsO[` uumlN_WQ H MQ H YJkWKhZJUYZYQR[]OOeWNtildeJyO^Oaring

ocirc7raquo aagravejumlaacute uacuteucirc thorn yuml aduuml thorn UgraveUcircUacuteUuml yuml1 uuml thorn timesOslash yuml jaeuml eacuteHj THORN $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde auml thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afmacr]jMJUacute^JLhQVUiN H QVUPJOtilde[SXocirc cent aagravejQcY(bLfcNPYZYQcbLNPfdaring

ocirc7raquocent aagravejOcircaacute uacuteucirc thorn yuml a uuml thorn otilde)yumld huuml thorn otilde)yuml7 eacutejaeuml eacutej THORN af]jWMJLhZJ a2atildeshyszligaumlKszligYagravejQcY H MeJaumlbLjehlU~N H jehJ[SXQYacutea2atildeltszligaumlgtszligYagravej^MeJLhZJXiacute[PhZJSe H MeJOtilde^eJLhQVUiN H QVUPJ[SX H MeJgWM[]fRJOtildebnhQ H JLhQR[]O QsY H MeJordfXiacute[]fcfR[WiexclQcO[aring

ocirc raquo aagravejpoundaacute $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde aumlamp thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afzSj uacuteucirc thorn yuml aduuml thorn UgraveUcircUacuteUuml yuml uuml thorn timesOslash yuml uuml thorn otilde)yuml huuml thorn otilde)yuml eacutejaeuml eacutej THORN

^ ^~THORNUgrave2FEgraveOIgraveIcircIcirclt2EacuteltOacute Eacute0frac34ETH9Igrave8shyIgraveFEgraveEcirc+NtildeFETH3Ecirc+ltIgraveNtilde7==EacuteltEgrave7813Oacute14 ETHOEacute ETH9IgraveOacuteszligltOacuteshyEacuteOacuteAgrave+QIgraveFEumlEacuteAtilde=13ETH+ltIgrave5=KETHOEacuteshyEgravesup1euml5Oaelig[Ph^eJLh H [Tbn[]ZaringKj H J H MeJuUPJUfR[WbLQ H mUPJUb H [PhcopyeumleSWNtildeJMNUPJ H [yZ N`PJQ H NiKKEgraveJUNihyQcOH MeJhY HH WF[ ^e[]Z NPQcOaQcO H J[PhNPfcYiexcl[SX afzSjcentmJkWKhZJUYZYQcO[ H MeJZ NPY_XiacutejOb H QR[]OY[SX H MeJgUPJUfR[WbLQ H meumlQ^iexclJLhZJiexclWFJ H N`PJ H MeJ5[PJUOeJLhNPfbLNPYZJ5WiexclMeJLhZJ H MeJ^JUYZbnhQRK H [PhdYZaringNm ^eJLKEgraveJUO^ []OXiacuteJUN H jehZJUY5[]fR[PcentNPfsfVmN HH NPbMeJU^ H [ H MJtimeshJ[]QR[]OeumlNPO^eumlY[oZ Nm`^JLK=JUO^a[]O agrave^ JZOslash[W^eJUf$JUNPbdM^eJUYZbnhQRK H [PhIacuteNPYtimesNabn[]ZIacutecentQcON H QR[]OOacute[SXuXJUN H jhZJUYy[]fc[PcentNPfcfVmeumlN HH NPbMeJU^

uumlnyacutenthornnyumll13YSordmY_F

f $amp)(+-)013021+345627893lt=gt9A6CBH [ H MJOtildeJUP[]fVUBQsO[OslashhZJ[]QR[]OY_OumlcopytimesOslashKaagravejF[Ph_Ouml UgraveUacuteUuml aagravejaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejpoundaacuteAElig thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn timesOslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejszligiumlViumlViumlVszligagrave thorn timesOslash yumlaacute aagravejjuuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszligYagravejpoundaacuteAElig thorn UgraveUcircUacuteUuml yuml a2atildeltszligaumlgtszligagrave thorn UgraveUcircUacuteUuml yuml aagravejszligagrave thorn UgraveUcircUacuteUuml yumlcent aagravejszligiumlViumlViumlVszligagrave thorn UgraveUcircUacuteUuml yumlacirc aagravejjafi]j

WMJLhZJSaring agrave thorn(atilde yumlauml aacute 7aring thorn yuml5aelig thorn(atilde yumlauml a2atildeltszligaumlgtszligYagravej atilde auml WQ H Mpounda jOcircaacuteacircaVltjF[Pha Kf5 jiuml afh]j9J H jYuhY H bn[]ZOslashKj H J H MeJIacute^eJLhQVUiN H QVUPJOtilde[SXuuml thorn timesOslash yuml eFWFJgO^Oaring

aelig uuml thorn times Oslash yumlaelig agrave aacute aacuteccedilaumlegrave aelig thorn timesOslash yumlaelig agrave thorn times Oslash yumlauml a2atildeltszligaumlgtszligagrave thorn timesOslash yuml aagravejszligiumlViumlViumlVszligagrave thorn timesOslash yumlaacute aagravejj aelig agrave thorn timesOslash yumlaumlaelig agrave aagravej a s j J MNUPJOe[W H [bn[]ZOslashKj H J H MeJ ^eJLhdQVU~N H QUPJ [SXagrave thorn timesOslash yumlauml NPbLbn[Ph^QcO[ H [umlagrave^ JNiKK-fVm H MeJgMeJL[PhZJZigravefaumlNPO^WNtildeJy[PJ H aring

aelig agrave thorn timesOslash yumlaumlaelig agrave aacute $ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde auml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacutej THORN a fj

JLKfcNPbLQcO[ H MeJNtilde^eJLhdQVU~N H QUPJUY9[SX3agrave thorn timesOslash yumlauml WQ H M H MeJUQRhJkWKhZJUYZYZQc[]OYa fj9QcOa s jeSWFJ[Pcent H NPQsO H MJXiacute[]fcfR[WQcO[iexclJkBKhJUYZYZQR[]OX[Ph H MJF^e[]Z NPQcOaeligQcO H J[PhdNPf[SX H MeJ^eJLhQVUiN H QVUPJ[SX H MeJT^eJUYbnhQRK H [Ph uuml thorn times Oslash yuml aring

$ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde aumlacircaacute aacuteccedilaumlordfegrave -eacute thorn timesOslash yumlauml $ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde auml

aacuteccedilaumlordfegrave eacute thorn timesOslash yumlauml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacuteHj THORN a S jWMJLhZJSaring

eacute thorn timesOslash yumlauml aacute $ thorn yuml aelig thorn timesOslash yumlaelig agrave thorn timesOslash yumlauml a2atildeltszligaumlgtszligagrave thorn timesOslash yuml aagravejszligiumlViumlViumlVszligagrave thorn times Oslash yumlaacute aagravejj atilde auml a ]jMJIacuteJkWKhZJUYZYQR[]OwXiacute[Pha jyacuteaacute a Kf jiexclQcYbn[]ZOslashKj H JU^QsO H MeJaeligYZNSZOslashJordmZaringNPOOeJLhiexclWMQcfRJKNmBQsO[N HH JUO H Qc[]O H [ H MeJ`^QRhZJUb H QR[]O[SX H MeJ`Oe[PhlZaringNPfcopyUPJUb H [PheNPO^rWFJ H MBjY

uumlnyacutenthornnyumll13YSordmY_Fsup2

yenKbrvbarsect =4 acirc $ fmacr[Pcent H NPQsO H MeJg[PJUOeJLhNPfgJkBKhJUYZYZQR[]OXiacute[Ph H MeJauml^JLhQVUiN H QVUPJOtilde[SXocircOcircaagravejaring

ocirc raquo aagravejumlaacute uacuteucirc thorn yuml aduumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn times Oslash yuml uumlgtthorn otilde)yuml d hreguumlgtthorn otilde)yuml eacuteHjaeuml eacutej THORN aacuteccedilaumlordfegrave eacute thorn timesOslash yumlauml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacuteHj THORN acircccedilaumlordfegrave eacute thorn UgraveUcircUacuteUuml yumlauml uacuteucirc thorn yuml aelig thorn UgraveUcircUacuteUuml yumlauml aeuml eacutej THORN aacuteccedilaumlordfegrave -eacute thorn timesOslash yumlauml $ thorn yuml aelig aelig thorn

timesOslash yumlaumlaelig agrave atilde auml acircccedilaumlordfegrave eacute thorn UgraveUcircUacuteUuml yumlauml thorn yuml aelig aelig thorn

UgraveUcircUacuteUuml yumlaumlaelig agrave atilde auml a j^ ^ecirccopyEgraveEacuteshyIacuteIumlETH39shyIgrave8shyIgraveFEgraveEcirc+NtildeFETH3gt+QIgraveETHOEacute3iexclNtildeshyEgrave78QIcircETH9IgraveumlIgrave+EacuteltEumlETHshyETHEacuteshyOacuterIgrave5euml1ONtildeFETH32EacuteltOacuteEacute10wETH9Igrave Ntilde=KETH3gt+ltIgrave=EacuteshyOacuteshyETHEacute1EgraveMJ[P[]NPf[SX H MQsYampKNih H QcY H [aumlbn[]ZOslashK-j H J H MeJ(JkWKhZJUYZYZQc[]Oaelig[SX H MeJuUPJUfc[BbLQ H mUPJUb H [PheumlwWMQcbdMregZaringN`PJUY H MeJUacutebLjehYUPJJUP[]fVUPJOtildeNPYXiacuteNPY H NPYFKEgrave[]YZYZQRcent-fRJ H [WNih^Y(NZaringQcOQCZIacutejFZ[SX H MeJaeligbnhQ H JLhdQR[]Oumlocirc^KO`[Ph^eJLh H [ ^JU^jbnJ H MJyUPJUfR[WbLQ H mwUPJUb H [PhOtilde[SX H MeJaeligNPb H QVUPJbn[]O H []jehQXhZ[]Z H MeJF^eJLhQVUiN H QVUPJ0[SX H MeJNtildebnhQ H JLhQR[]OOeWFJMNUPJ H [5Z N`PJFNiKKEgraveJUNih H MeJUPJUfR[WbLQ H moUPJUb H [PhUacuteQcO H MJTfcNPY HH WNtilde[ ^e[]ZaringNPQcOaQcO H J[PhdNPfcY(centm JkWKhZJUYYZQcO[ H MeJZ NPYcentEgrave[]jO^NihYm QcO H J[PhNPfcY^FMQcYbLNPOaJUNPYZQcfVm centEgraveJauml^e[]OeJTjYZQcO[MJL[PhZJZigravefe-^[]ZaringNPQcOQcO H J[PhNPfcYbLNPOeumlNPfVWNmWYiexclcentEgraveJIacuteJkBKhJUYZYJU^ NPYcentEgrave[]jO^NihYm QcO H J[PhdNPfcY^gtiexcl[WFJUPJLheOXiacute[PhYZQCZOslashKfcQcbLQ H mSe-fcJ H jYbn[]OYZQc^eJLh H MeJaringbLNPYJUYgWMeJLhZJ H MeJUYJOslashfcNPY HH WNtilde[`QcO H J[PhdNPfcYOtildeNihZJJBjNPf H [currenLJLhZ[eOgraveWMQcbMaringMNiKKEgraveJUOYX[PhZOslash[]Y H hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhdQRK H [PhY^S5OH MN H bLNPYJSeNPbLbn[Ph^QsO[ H [ H MeJaeligQcOeJBjNPfcQ H m[SXvNPjbdMOgravemV G bdMOgraveWNih H currenSe H MeJXiacuteNPY H JUY H^eJUbnhJUNPYJa[SXocirc|aagravejOslashQcY [Pcent H NPQcOeJU^ XhZ[]Zecirca jOslashcentm bMe[B[]YZQcOF[beuml aacute ccedilyeacute WMQsbMfRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[aeligJUP[]fcj H Qc[]O JjN H QR[]OOaringaelig Yacuteaagravejaelig agrave aacuteFuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yuml uuml thorn otilde)yuml eacute aacuteccedilaumlordfegrave ETHeacute thorn timesOslash yumlauml aelig thorn timesOslash yumlauml acircccedilaumlordfegrave ETHeacute thorn UgraveUcircUacuteUuml yumlauml aelig thorn UgraveUcircUacuteUuml yumlauml lteacute a macr]jUcircX H MJ^eJUYZbnhQRK H [PhY$^e[TOe[ H ^eJLKEgraveJUO^times[]OregagravetaiacutehZJ[]QR[]OeV4QcO^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhYjeH MeJgiexcl hZJU^jbnJUY H [ H MeJordfXiacute[]fcfR[WQcO[aeligJkWKhZJUYZYQR[]OOaringaelig Yacuteaagravejaelig agrave aacuteigraveuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yumldn reguuml thorn otilde)yuml7 eacutelteacute a ]j

uumlnyacutenthornnyumll13YSordmY_FY

f $amp)(+-)013021+345627893lt=gt9A6CB JaeligbLNPO`O[ H QcbnJ H MN HH MeJtimes^eJLKEgraveJUO^eJUObnJauml[SX H MJIacute^eJUYZbnhdQRK H [PhY[]OwagraveeEgraveNPO^aY[ []OH MeJiexclbLjehYUPJJUP[]fcj H QR[]OOeQcO^jbnJUY0NP^^Q H QR[]ONPf H JLhlZaringYFQcO H MeJiexclJUP[]fcj H QR[]O JjN H QR[]O[SX H MJFNPb H QVUPJ(bn[]O H []jeh^SMeJNP^^Q H QR[]ONPf H JLhZaringYQX[]jO^IacuteQcOoa macr]jbLNPOOe[ H hZJUNP^QsfVmcentEgraveJtimes[Pcent H NPQcOeJU^ WMJUO H MeJOslash^mBONSZaringQcbLNPfampYZbMJZOslashJaringQcYOtildeQcO H hZ[W^jbnJU^eumlNX H JLh H MeJOslashbn[]ZaeligVKj H N H QR[]Oa[SX H MeJaelig^eJLhQVUiN H QVUPJaeligjYZQcO[o0jfcJLhVA9N[PhNPOF[PJIacuteJBjN H QR[]OY^MjYe-Q H QcY[SX=KhQZaringJOeJUbnJUYZYZQ H m H [TQcO H hZ[B^jbnJ H MeJ^mWONSZaringQsbLNPfeYZbMeJZaringJiexclQcO H [ H MeJbnhQ H JLhQR[]OQ H YZJUfVXiexclQcO[Phd^eJLh H [JUNPYZQsfVmsup1[PJ H H MeJUYJaNP^^Q H QR[]ONPf H JLhlZ Y QcO bLNPYJa[SXhJ[]QR[]OWV^eJLKEgraveJUO^JUO H ^JUYZbnhQRK H [PhdY^MNPO`BY H [ H MeJUYJeumlNP^^Q H QR[]ONPf H JLhlZaringYeWFJ`JUOYZjehZJH MeJordfXqNPY H JUY H JUP[]fcj H QR[]O [SX H MeJIacutebLjehYUPJ H [WNih^YiexclNZaringQcOQZIacutejZ [SX H MeJTbnhdQ H JLhQR[]OO^ JeumlbLNPO NPfcY[hZJZaringNihY` H MN H H MeJUPJUfR[BbLQ H m[SX H MeJ bn[]O H []jhQsOa macr]j bLNPOcentEgraveJ K=[]YQ H QVUPJ[PharingOeJ[]N H QVUPJS^|MQcYaeligNPO QcO H JLhZJUY H QcO[eumlKh[PK=JLh H mOacute[SXiexclhZJ[]QR[]OWVcent-NPYJU^NPb H QVUPJ bn[]O H []jehY^ q O H MeJ bn[]O H hNihYm H [ centEgrave[]jO^NihYmVcentNPYJU^7NPb H QVUPJ bn[]O H []jehdYehZJ[]Qc[]OWVcentNPYJU^7NPb H QVUPJbn[]O H []jehYOslashNPfcfR[WYZ[]ZOslashJKNih H Ytimes[SX H MeJ bLjehYUPJ H [YZMehQsO`WMQcfRJ[ H MeJLhY(JkWKNPO^O^FMjY H MeJaumlQcOQ H QsNPfcQVcurrenUN H QR[]O QcYfRJUYYbn[]OY H hNPQsOeJU^O^^ macr^iexclEacuteltIacuteETHNtildeFETHEacuteshyOacute Eacute10wETH9IgraveumlIgravesup1+shyEacuteltEumlETHETH3EacuteshyOacuterIgrave5euml1ONtildeFETH32EacuteltOacute0EacuteltEgravexIcircEacuteshyIacute5IgraveIgrave2shyNtildeshyIacuteEumlOgraveIgraveIcirclaquoEacute10C8ltIgraveIcircd=KEgrave(ETHEacuteltEgraveIcircMJu[P[]NPf[SX H MQsY$KNih H QsY H [timesbn[]ZaringKj H J H MeJiexclJUP[]fcj H QR[]O JjN H QR[]Oaring[SX H MeJNPb H QVUPJbn[]O H []jehOcircXiacute[Ph0Y[]ZOslashJ(JkeNSZOslashKfcJUY$[SX-hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhY^SgJ H jY H N`PJY[]ZaringJT^eJUYZbnhQcK H [PhY(^eJLKEgraveJUO^QsO[aelig[]O H MeJyZOslashJUNPOBSOtimesOslash [Phiexcl[]O H MeJgUiNihQcNPObnJjuFtimesOslash [SXH MeJOtildeJUP[]fUBQcOF[OslashhZJ[]QR[]OwOumlcopytimesOslashaagravejaringEFFG FFH SOtimesOslashKaagravejumlaacute iacute $ w$ thorn yuml Otilde atilde auml WiexclQ H M icirctimesOslashaacute w$ thorn yuml atilde aumlu centtimes Oslash aagravejsup1aacute iacute $ w$ thorn yuml aOtilde SOtimes OslashKaagravejj cent atilde auml^ macr^f^iumlordfcentltshyltAringordfregethIumlIgravecurrenRAringcentmicroETHfrac34IumlltlaquomicroRreglaquoNOacute]currenRlaquosectsup1jCcedilR RAringordfregL Rlaquo3shy JTbdMe[B[]YJ H MeJgXiacute[]fcfR[WQcO[OslashYJ H [SX^eJUYbnhQRK H [PhYaring

uuml thorn UgraveUcircUacuteUuml yuml ^e[BJUYOe[ H ^eJLKEgraveJUO^[]Owagraveuuml thorn timesOslash yuml aacutecntildeaLuOcenttimes Oslash j a zSjWMJLhZJampntildeaOgravejQsYNOslashKEgrave[]YZQ H QVUPJiexclXqjOb H QR[]O[SX$bLfcNPYYograve aj^MQcYiexclUPJUfR[WbLQ H mumlUPJUb H [PhOslashQcYaumlbn[]ZaringKj H JU^centmeumlhZJLKfcNPbLQsO[ H MeJ H JLhZaringYauml[SXga jgWQ H MH MeJUQch$JkBKhJUYZYZQR[]OY^ J hY H JkWKhZJUYZY H MeJ^eJUYZbnhQcK H [Ph|uuml thorn timesOslash yuml NPYyNTbn[]ZTcentQsON H QR[]O[SXamp^e[]ZaringNPQcOY(QcO H J[PhdNPfcYaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacutemiddot thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn timesOslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejjaacutecntildeoacute agrave thorn timesOslash yuml aagravejagrave thorn timesOslash yumlcent aagravejfocirc a i]j

uumlnyacutenthornnyumll13YSordmY_FPa

yenKbrvbarsect =4 acirc $ fzWMJLhZJSaring EFFG FFH agrave thorn timesOslash yuml aagravejpoundaacute w$ thorn yuml aOtildegta2atildeltszligaumlj SOtimes OslashaagravejjUcirccent atilde aumlagrave thorn timesOslash yumlcent aagravejpoundaacute w$ thorn yuml atilde auml a h]j O^ H MBjYaring aelig thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacuteacircaOtildeKa2atildeshyszligaumlFj S timesOslash aagravejjUcirccentaelig thorn timesOslash yumlcent a2atildeshyszligaumlKszligYagravej|aacute f ad s j Y5XiacuteNihaumlNPY H MeJOslash^e[]Z NPQcO`QsO H J[PhNPfsYUacute[SX H MeJOslash^eJLhQVUiN H QVUPJaelig[SX H MJXqjOb H QR[]OY aelig thorn timesOslash yumlaumlNihZJaumlbn[]ObnJLhOeJU^OeFWFJauml[Pcent H NPQsOOaringEFFFG FFFH w5$ thorn yuml frac14ltotildeouml $_divideoslashfrac14 atilde aumlordmaacute frac14ltugrave $frac14 w$ thorn yuml aOtildeKa2atildeshyszligaumlFj SOtimesOslashKaagravejj atilde aumlaacute sw5$ thorn yuml frac14ltotilde ouml $_divideacircfrac14 atilde aumlordmaacute s adfjMJ H JLhZaringY eacute thorn timesOslash yumlauml NPfcY[aringMNUPJ H [ cent=Jaumlbn[]ZaringKj H JU^OeNPO^tWNtildeJg[PJ H aringEFFFG FFFH eacute thorn

timesOslash yuml aacute w$ thorn yuml uacute ouml $_divideacircntilde raquo7ucirc uacute ouml $_divideoslashuacute ouml $_divideacircyacuteuuml atilde aumlaacutecntilde raquo aLu centtimesOslash jeacute thorn timesOslash yumlcent aacute w$ thorn yumlBthorn uacute ouml $_divideoslashthorn uacute ouml $_divideacirc yuml acirc ntilde raquo ucirc uacute ouml $_divideoslashuacute ouml $_divideacirc uuml atilde aumlregaacute u centtimes Oslash ntilde raquo aLu centtimes Oslash j

G QsObnJ H MeJOslash^e[]Z NPQcO`QsO H J[PhNPfsYiexcl[SX frac14ltotildeouml $ordfdivideoslashfrac14 NPO^ frac14ltotildeouml $_divideacircfrac14 NihZJaeligJBjNPf H [currenLJLhZ[poundadfjeWFJOtildebLNPO ^QRhZJUb H fVm bn[]ZOslashKj H J H MeJiexclUPJUfR[WbLQ H mregUPJUb H [Ph[SX H MeJOtildeNPb H QVUPJTbn[]O H []jehuXiacutehZ[]Za macr]jNPO^WNtildeJyO^Oaringaelig Yacuteaagravejaelig agrave aacuteuumlgtthorn timesOslash yuml uumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn otilde)yuml dacute uumlgtthorn otilde)yuml eacutentilde raquo aLu centtimes Oslash jaaOtilde SOtimesOslashj cent u centtimesOslash jcedilQeacute ad j5Otad jeOgraveWFJbLNPOaringhJZaringNihY` H MeJ(KhZJUYJUObnJ[SX H MJNP^^Q H QR[]ONPf H JLhlZntilde raquo aLuOcenttimesOslash jaaOtilde SOtimesOslashj cent u centtimesOslash jeacuteacirc^^ macr^ ^iumlordfcentltshyltAringordfregethIumlIgravecurrenRAringcentmicroETHfrac34IumlltlaquomicroRreglaquoNOacute]currenRlaquosectsup1jpoundn Rlaquo JTbdMe[B[]YJ H MeJgXiacute[]fcfR[WQcO[OslashYJ H [SX^eJUYbnhQRK H [PhYaring uuml thorn UgraveUcircUacuteUuml yuml ^e[BJUYOe[ H ^eJLKEgraveJUO^[]Owagraveuuml thorn timesOslash yuml aacutecntildeaOtilde S timesOslash aagravejj adS]j

uumlnyacutenthornnyumll13YSordmY_FPo

fi $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJampntildeaOgravejQsYNOslashKEgrave[]YZQ H QVUPJiexclXqjOb H QR[]O[SX$bLfcNPYYograve aj^ YKhZJUWQR[]jYZfVmSe H MeJlaquoUPJUfR[WbLQ H mfrac34UPJUb H [PhTQcYbn[]ZOslashKj H JU^eumlcentmhZJLKfsNPbLQcO[ H MJ H JLhZaringY[SXua jcopyWQ H M H MeJUQRh(JkWKhZJUYZYZQc[]OY^FMeJauml^JUYZbnhQRK H [Ph uuml thorn timesOslash yuml QcY(JkWKhZJUYZYJU^centmKaringuuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacutei thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn times Oslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejjaacutentildeoacuteOtilde agrave thorn timesOslash yuml aagravejagrave thorn timesOslash yumlcent aagravejfocirc adj

WMJLhZJSaring EFFG FFH agrave thorn timesOslash yuml aagravejpoundaacute w5$ thorn yuml Otildegta2atildeltszligaumlj atilde aumlagrave thorn timesOslash yumlcent aagravejpoundaacute w5$ thorn yuml atilde auml adSmacr]j O^ Y[aring aelig thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejOcircaacuteegraveOtildegta2atildeltszligaumljaelig thorn timesOslash yumlcent a2atildeshyszligaumlKszligYagravejOcircaacute f adS]jG QsObnJ H MeJordfXiacutejOb H QR[]OY aelig thorn timesOslash yuml NPO^ aelig thorn timesOslash yumlcent ^e[aringO[ H ^eJLKEgraveJUO^[]OtagraveeFWFJTMNUPJSaringEFFFG FFFH w$ thorn yuml frac14ltotilde5ouml $ordfdivideoslashfrac14 atilde aumlregaacute s

w$ thorn yuml frac14ltotilde5ouml $ordfdivideacircfrac14 atilde aumlregaacute s ad]zSjMJ H JLhZaringY eacute thorn timesOslash yumlauml NihZJ H MJUObn[]ZOslashKj H JU^eNPO^WFJauml[Pcent H NPQcOOaringEFFFG FFFH eacute thorn

timesOslash yuml aacute w$ thorn yuml thorn uacute ouml $ordfdivideacircntilde raquo7ucirc Otilde uacute ouml $ordfdivideoslashuacute ouml $ordfdivideacircyacuteuuml atilde aumlaacute thorn iacute $ w$ thorn yuml ntilde raquo aOtilde SOtimesOslashj atilde aumleacute thorn timesOslash yumlcent aacute w$ thorn yuml uacute ouml $ordfdivideoslashthorn uacute ouml $_divideacirc yuml acirc ntilde raquo ucirc Otilde uacute ouml $ordfdivideoslashuacute ouml $ordfdivideacirc uuml atilde aumlordmaacute ugrave $iacute $ w$ thorn yuml ntilde raquo aOtilde SOtimesOslashj atilde auml JUacutebLNPO H MeJUObn[]ZOslashKj H JUacute^QRhZJUb H fm H MJ_UPJUfR[WbLQ H mUPJUb H [Ph[SX H MeJUacuteNPb H QVUPJOtildebn[]O H []jhXiacutehZ[]Zigravea macr]j(NPO^WNtildeJyO^Oaringaelig Yacuteaagravejaelig agrave aacuteuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yumldacute uuml thorn otilde)yuml eacute aOtilde SOtimesOslashjicircFtimesOslash $ thorn yuml ntilderaquo)aOtilde SOtimesOslashjmiddotQeacute adSi]j

5O H MeJtimesKNih H QsbLjfcNihiexclbLNPYZJIacute[SXIcircntildeaOgravejuaacuteOslashScenteKWFJtimesMNUPJnntilde raquo aOgravejcopyaacute NPO^ H MeJLhZJXiacute[PhZJSeH MeJiexclNP^^Q H QR[]ONPf H JLhlZaringYebn[]ZaringQcO[gXiacutehZ[]Z H MeJ UiNihQcN H QR[]O [SX H MeJiexcl^eJUYbnhQRK H [PhYOcircWQ H MagraveeNihJJjNPf H [gcurrenLJLhZ[^[WNtildeJUPJLheWQsOordmZOslash[]Y H bLNPYZJUYe H MQsYyNP^^Q H Qc[]ONPf H JLhlZoslashQsYyOe[ H

uumlnyacutenthornnyumll13YSordmY_FPy

yenKbrvbarsect =4 acirc $ fhcurrenLJLhZ[^ not [PhaeligJkeNSZOslashKfRJSeampQVXUgraventildea]jaacute yuml Wiexcl cent eshyWiexclQ H MN`KEgrave[]YZQ H QVUPJ bn[]OY H NPO H eQWFJMNUPJSaring

ccedil aacuteFuumlgtthorn timesOslash yuml uumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn otilde)yuml uumlgtthorn otilde)yuml eacute aOtilde SOtimesOslashjicircFtimesOslash $ thorn yuml aOtilde SOtimesOslashj IcircAumlaOtilde SOtimesOslashj cent adSh]j^ ^~IacuteFEumlIgraveFIacute5IgraveFOacuteETHNtildeFETHEacuteshyOacuteAgraven13ETH9 ETH9IgraveumlEumlIgravesup1+ltIgraveFEumltIcircIgraveFETHbIacute5IgraveFETH9shyEacute18 YXqNih0NPY H MeJOBjFZOslashJLhdQcbLNPfeQZOslashKfcJZOslashJUO H N H Qc[]OtimesQsYybn[]ObnJLhOeJU^eSWNtildeJbLNPOZOslash[W^eJUf H MeJNPb H QVUPJaumlbn[]O H []jeh_WQ H MNPOJkBK-fcQcbLQ H KNihNSZOslashJ H JLhdQVcurrenUN H QR[]ObaN[PhNPO[]QcNPOXiacute[PhlZtimesjfcN~VH QR[]OKjaelig[Ph NPO QCZOslashKfcQcbLQ H []OeJraNtildejfRJLhQsNPO Xiacute[PhlZIacutejfcN H QR[]Ogtj^ G JLJra G J H MQcNPOOe5fhSh s jNPO^egraveaJUfcQcO[PJ HH J NPO^ _a[]O H N[]ON H e sSs fjX[PhaeligNPOQcO H JLhZJUY H QcO[eumlbn[]ZOslashKNihdQcY[]OcentEgraveJ H WFJLJUO H MeJ H WNtilde[ZOslashJ H M[B^Y^ iexclO[ H MeJLhOtildeQcO H JLhJUY H QcO[aringhJUBQRJW[]O H MeJtimes^Q=JLhJUO HZOslashJ H M[B^Y[SX$NPb H QVUPJIacutebn[]O H []jehQcY(Kh[PK=[]YZJU^ QcOpoundaw_[]O H N[]ON H J H NPfd^Ve sSs fj^iexclJLhZJSeWFJaumljYJ H MeJaumlfRJUPJUfYZJ H ZOslashJ H Me[W^ NiKKhZ[]NPbdM KhZ[PKEgrave[]YJU^centm q YMeJLhNPO^G J H MQcNPOa q YZMJLh NPO^ G J H MQcNPOe fhSiSi]j centj H hJ[]QR[]OWVcentNPYJU^ NPb H QVUPJeumlbn[]O H []jehdYZaringNmNPfcYZ[ centEgraveJQZOslashKfcJZOslashJUO H JU^7centmjYQcO[`XNtildeV4YK-fcQcOeJUYXiacute[PhaeligNPOJkWKfcQsbLQ H K-NihNSZOslashJnVH JLhQcurrenUN H QR[]O ayhZJUbLQc[]Y[ NPO^XNihfcNPj^Oe sSs fj^shyMJ`PJmeumlQc^eJUN [SX H MeJOslashfRJUPJUfampYJ HZOslashJ H M[B^QsY H [ QcO H hZ[W^jbnJaumlNPO`NPjkWQsfcQcNihYmXiacutejOb H QR[]O l a2atildeltszligaumlgtszligYagravejYZjbdM H MN H YacuteaagravejQcY H MJtcurrenLJLhZ[OacutefRJUPJUfYJ H [SX l ^OcircMJXiacutejOb H QR[]O l QsYaelig[SX H JUO bMe[]YJUO H [centEgraveJ H MeJYZQ[]OeJU^ ^QcY H NPObnJordfXiacutejOb H QR[]O[SXQYacuteaagraveje-NPO^ QsY H MeJUObdMNihNPb H JLhQVcurrenLJU^acentmKaring

YacuteaagravejOcircaacute a2atildeltszligaumljPO l a2atildeshyszligaumlKszligYagravejaacute s a2 s jMQcYOcirc0jfRJLhQcNPOordmXiacute[PhlZtimesjfcN H QR[]O KhZJUYZJUO H YFYJUPJLhNPfEgraveNP^UiNPO H N[PJUYga G J H MQcNPOOeKfhShS]j^not QRhY H fVmSe H MeJabLjehYUPJ l ZaringNmcenthJUN`[PhoZOslashJLhY[PJNPY H MJXiacutejOb H QR[]O l JUP[]fUPJUYeNPO^ H [PK=[]fc[S[]QcbLNPfbdMNPO[PJUYFNihZJ H MBjY$JUNPYZQsfVmOslashMNPO^fRJU^^ G JUbn[]O^fVmSe H MJJUP[]fVUWQcO[XqjOb H QR[]O l a2atildeshyszligaumlKszligYagravejNPfVWNmWY(hZJZaringNPQcOY(NlaquoXiacutejOb H QR[]O NPfcfR[WQcO[timesJltz bLQRJUO H OBjFZOslashJLhVQcbLNPfFYZbdMeJZOslashJUY^OcircMQRh^fVmSe H MeJ[PJL[]ZOslashJ H hQcb KhZ[PKEgraveJLh H QcJUYT[SX H MeJ bLjehYUPJSe$fcQV`PJ H MeJbLjehlU~N H jehJ NPO^ H MeJOslashOe[PhlZ NPfshyUPJUb H [PhordfJUfs^eacute e=bLNPO centEgraveJIacuteJUY H QZaringN H JU^euml^QRhZJUb H fmXiacutehZ[]Z H MeJTfcJUPJUfgYJ H XqjOb H QR[]Oaring aacute V ucirc l l uuml NPO^ eacuteecircaacute l l a2FfjMJJUP[]fsj H QR[]O JBjN H QR[]O H MeJUO centEgraveJUbn[]ZOslashJUYaringaelig l aagravejaelig agrave aacuteegraveccedilacute l a2 jMJregUPJUfR[WbLQ H msup1XiacutejOb H QR[]OxccedilEQcYIacutebn[]ZaringKj H JU^7[]OfVm[]O H MeJbLjehYUPJYacuteaagravejaumlcent-j H WFJbLNPO Jk H JUO^ Q H YFJkBKhZJUYZYZQR[]O H [ H MeJiexclWMe[]fRJUacuteQZaringN[PJOtilde^e[]Z NPQcOoOumlordf^[OslashQZOslashKfRJZaringJUO HH MeJIacutefRJUPJUf9YJ H ZOslashJ H Me[W^OeY[]fsj H QR[]OYuZtimesjY H centEgraveJgXiacute[]jO^ H [ bLQRhbLjZyUPJUO H Kh[PcentfRJZaringY

uumlnyacutenthornnyumll13YSordmY_FP

s $amp)(+-)013021+345627893lt=gt9A6CBbn[]ZaringQsO[ Xh[]Z H MeJpoundXqNPb HH MN H`H MeJYZQV[]OeJU^ ^QcY H NPObnJumlXqjOb H Qc[]O l QcYaOe[ H NY[]fsj H QR[]O[SX H MeJyiexcl a2 jeEgraveYJLJa []ZOslashJUYNPO^ not NPjF[PJLhNPYe sSsSs jyacuteXiacute[Phiexcl^J H NPQcfcY^5Oaelig[]jehWF[PhY`gte H MJuXiacutejOb H QR[]O l QcYamphZJUQsOQ H QcNPfcQcurrenLJU^TY[ H MN H Q H hZJZaringNPQcOYampNOtilde^QsY H NPObnJXqjOb H QR[]OenYZJLJ5aq jecentEgraveJLh H NPO^gcOtilde[PhdOeKhZ[PcentY H e sSs fJLcenthZJUjFUPJSe sSsSs jOXiacute[Ph^J H NPQcfcY[]O H MJOtildehZJUQcOQ H QsNPfcQVcurrenUN H QR[]O JBjN H QR[]OO^5Oeuml[Ph^eJLh H [QCZOslashKhZ[UPJaringOjFZaringJLhQcbLNPfJltz bLQRJUObmSeOWFJaringbn[]ZOslashKj H J H MeJOslashJjN H QR[]O[]O NIacuteONihhZ[Wcent-NPO^aringJUObLfc[]YZQcO[ H MJiexclfRJUPJUf s [SX H MeJUacutefRJUPJUf-YJ H XqjOb H Qc[]OO^ JUacuteNPfcY[jYZJZtimesjf H QRhZJUYZ[]fcj H QR[]O H JUbdMOQBjeJUYcentmZaringN`BQsO[ H MeJFNPb H QVUPJ(bn[]O H []jh$JUP[]fVUPJcopyhY H[]ONOslashfc[W hZJUYZ[]fcj H QR[]O QZ N[PJS^FMeJordfONPfbn[]O H []jeh[Pcent H NPQcOeJU^Xiacute[Ph H MQcYhJU^jbnJU^QZ N[PJaumlQcY H MeJUOjYJU^ NPYNPOQsOQ H QcNPfEgravebLjehYUPJordfXiacute[Ph H MJOtildehZJUNPfgYZQVcurrenLJaumlQCZaringN[PJS^

EparaacuteAgravegtmicrosup1acuteIKJcedilJT2MgtI MraquowMgtmicrosup1MAgravegtacuteIltacuteMgtPltAtilde iquest acuteAgravegtT2MKIshyAtildeAcirccedilAtildeacuteNicircMgtI cedilAEligMgtmicroOcircacuteOgraveJTCJT13MKI sup2OcircacuteJordfsacuteacuteI Jfrac14ltacutegcedilFLT2cedilIshyROgraveacuteAtilderaquoAMLBqoLacute13AtildeR]cedilsup32acute GmicrobcedilAgraveacuteAtilde5O H MQcYUacuteYJUb H QR[]OOeOWFJOslashKhZ[PKEgrave[]YJaeligY[]ZOslashJOslashhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhY H [YJ[iVZOslashJUO H M[]ZOslash[S[PJUOeJL[]jYiexclhZJ[]QR[]OYiexcl[]Ofrac34[PhZJmBYbLNPfRJIacuteQZ N[PJUY^gtMJUYJIacute^eJUYbnhQRK H [PhYiexclNihZJcentNPYZJU^[]O H MJZaringQcOQZaringQVcurrenUN H QR[]O [SX H MeJU~NihdQcNPObnJUYauml[SX H MJ H WF[`bn[]OYZQc^eJLhZJU^OacutehZJnV[]QR[]OY^ 5O H MJ7YJUbn[]O^ K-Nih H e H MJQZOslashKEgrave[Ph H NPObnJOacute[SX H MeJNP^^Q H QR[]ONPf H JLhZaringYebn[]ZaringQsO[XiacutehZ[]Z H MeJiexclU~NihdQcN H QR[]O [SX H MeJUacute^eJUYZbnhQcK H [PhYWQ H M H MeJiexclJUP[]fUBQcOF[IacutehZJ[]Qc[]OYeQcY9MQV[]MfcQ[]M H JU^O^ G QCZOslashKfRJJkWNSZaringKfRJUY9YMe[W H MeJ0QZOslashKEgrave[Ph H NPObnJ$[SX H MeJUYJ0NP^^Q H QR[]ONPfH JLhlZ Y H [ NPbMQRJUPJ H MeJOtildeJkWKEgraveJUb H JU^aYJ[]ZaringJUO H N H QR[]O^^f^laquoIgraveIcirc=KEgrave(FETHOEacuteltEgraveIcircEcircgtNtildeltIcircIgrave8 EacuteshyOacute ETH9Igravek+NtildeshyEgrave13NtildeshyOacute=KIgraveC0EacuteshyEgraveh4ltEgraveOIgravesup1QIcirc=NtildeltEumlOgraveIgrave2Iacute Ntilde4ltIgraveIcircMJQcO H JUOYZQ H mregXiacute[Phu[PhZJmWYZbLNPfRJaumlQZ N[PJUY(QcYhZJLKhZJUYZJUO H JU^centm NlaquoXqjOb H QR[]OOtilderegaringOgraveOumlOtilde 13ordfcentwntilde Otilde 13laquo^ JaKhZ[PKEgrave[]YJ H [bZaringQcOQZaringQVcurrenLJ H MeJU~NihdQcNPObnJUYOslash[SX H MeJ H WF[bn[]OYZQc^WVJLhZJU^ Me[]Zaring[S[PJUOeJL[]jY hZJ[]Qc[]OY QcO [Ph^eJLh H [YJ[]ZOslashJUO H H MeJZ^uMJXiacute[]fcfR[WQcO[^eJUYbnhQRK H [PhY(NihJaumlYZj[S[PJUY H JU^OaringEFG FH uuml thorn UgraveUacuteUuml yuml aacutecntildeaLuOcentUgraveUacuteUuml juuml thorn times Oslash yuml aacutecntildeaLuOcenttimes Oslash juuml thorn otilde)yuml aacutecb a2Ograve]jWMJLhZJjntildea]jQcYNOslashKEgrave[]YZQ H QVUPJordfXiacutejOb H QR[]O [SX$bLfcNPYZYEacuteograve aOtilde 13yj(NPO^kb`NOslashKEgrave[]YZQ H QUPJaumlbn[]OWVY H NPO H ^MJTbn[]ZOslashKj H N H Qc[]O[SX H MeJUPJUfR[BbLQ H mUPJUb H [PhaumlQcY^JU^jbnJU^tXiacutehZ[]Z H MeJIacutebn[]ZOslashK-j H N~VH QR[]O`[SX H MeJaelig^eJLhQVUiN H QVUPJIacute[SX H MeJtimesbnhdQ H JLhQR[]Opoundocirc7^eJUPJUfR[PKEgraveJU^ QcO G JUb^^ macr^feWMQsbMfRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[aeligJUP[]fcj H Qc[]O JjN H QR[]OOaringaelig Yacuteaagravejaelig agrave aacuteethntildeaLu centtimesOslash j ntildeaLu centUgraveUcircUacuteUuml jb ntilderaquo)aLu centtimesOslash jaaOtilde S timesOslash j cent u centtimesOslash j ntilde raquo aLu centUgraveUcircUacuteUuml jaaOtilde SUgraveUcircUacuteUumlj cent u centUgraveUacuteUuml jIcirc13eacute a2Sj

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ fMJiexclYZQcOF[]fRJiexclK-NihNSZOslashJ H JLhcopyWNtildeJOtildeOeJLJU^ H [aringNP^~ZjY H QcY H MeJUacuteYYZOslash[B[ H MQcO[timesKNihNSZOslashJ H JLhb^5OregXqNPb H e H MeJ X [W ethb MNPY H MeJiexclKhZ[PKEgraveJLh H QRJUYNtilde[SXYYZOslash[B[ H MQcOF[IacutecentEgraveJUbLNPjYJOtildeQ H ZOslash[UPJUYH MeJUacutebLjehYUPJUacuteQcO H MeJUacute^QRhZJUb H QR[]O [SX9Q H YfRJUOF[ H MregXqjOb H QR[]ONPfQa G Qs^^QBQeJ H NPfd^VeOfhShS]j^^ ^~IacuteEacuteltEgraveETHOgraveNtildeltOacute=KIgravefrac34Eacute10frac34ETH9Igrave Ntilde8182ETHEacuteshyOacuteNtildeshyEumlETHIgraveFEgraveOIacute5Icirc5O[Ph^JLh H [7JU~NPfcjN H J H MeJ QZOslashKEgrave[Ph H NPObnJ`[SX H MeJ`NP^^Q H QR[]ONPf H JLhlZaringYX[Ph H MeJYJ[]ZaringJUO H N H QR[]OeuWNtildeJpoundZaringN`PJ H MJeumlNPb H QUPJbn[]O H []jehaJUP[]fVUPJ H MehZ[]j[]M H MJ iexcla2SjeQsObLfcj^QsO[ H MeJaumlNP^^Q H QR[]ONPf H JLhlZaringY^ q O H MeJUacute[ H MeJLhMNPO^OeWNtildeJaumlNPfcYZ[ZaringN`PJQ H JUP[]fUPJfrac34WQ H M H MeJwXiacute[]fcfR[WQcO[ WhZ[]OF[JUP[]fcj H QR[]OJjN H Qc[]O H MN H ^e[JUY Oe[ HQcObLfcj^eJ H MeJaumlNP^^Q H QR[]ONPf H JLhlZaringYaringaelig Yacuteaagravejaelig agrave aacuteethntildeaLu centtimesOslash j ntildeaLu centUgraveUcircUacuteUuml j`b Qeacute iuml a2Ogravemacr]jnot [Ph H MeJOtildeJkWKEgraveJLhQZOslashJUO H YeWFJ H N`PJntildeaOgravejOcircaacute ILK KafcediliexclOgravejWMQsbM[]QVUPJUYntilde raquo aOgravejaacutefdOafcedil]j(NPO^ H MeJgUiNPfcjeJOtilde[SX H MeJaumlKNihdNSZOslashJ H JLhEacutebaQcY(YJ HH [frac34f s ^OcirckBKEgraveJLhQCZOslashJUO H Y NihZJ KEgraveJLhYX[PhZOslashJU^ []O NYmWO H MJ H Qcb`QCZaringN[PJumlZaringNP^eJeumljeK [SXTNPO

Me[]Zaring[S[PJUOeJL[]jYYYBjNihZJ[SX9QcO H JUOYZQ H mwf s []O NIacutecentNPbl`[PhZ[]jO^ [SX9QcO H JUOYZQ H mtf s ^ []NPjYZYZQsNPOOe[]QcYJUacute[SXUiNihQcNPObnJ s QcY(NP^^eJU^ H [ H MQcY(YmWO H MJ H QcbOtildeQZaringN[PJS^MeJOtildeJUP[]fcj H QR[]Oa[SX H MeJTNPb H QVUPJtimesbn[]O H []jehUacute^ehQUPJUOcentmpounda2SjQcYu[]QVUPJUO`QcO not QV[^ WMQcfRJ H MeJ[]OeJ`[Pcent H NPQcOeJU^ jYZQcO[ a2Ogravemacr]j QcYordm[]QUPJUO QcO not QV[^ ^ J bLNPO hZJZaringNihY`H MN H WMeJUO H MeJoiexclQsObLfcj^eJUY H MJ NP^^Q H QR[]ONPf H JLhZaringYe H MJ YYBjNihZJ QcYgWFJUfcfYJ[]ZaringJUO H JU^acirca not QV[^ ^bjeuWMeJLhJUNPYWiexclMeJUO H MeJ |iexclD^e[BJUY Oe[ H QsObLfcj^eJ H MeJUYJNP^^Q H QR[]ONPf H JLhZaringYwWFJ7[Pcent H NPQcO N bLQRhbLfcJOacuteQcOY H JUNP^ [SX H MeJ7JkBKEgraveJUb H JU^YYBjNihZJa not QV[^ ^bj^MeJUYJhZJUYZjf H YNtildebLNPOcentEgraveJcentEgraveJ HH JLh(jO^eJLhY H [[W^WMQcfRJNPONPfmcurrenUQcOF[ H MeJiexclUPJUfR[WbLQ H mUPJUb H [PhYUacute[SXNtildeJUNPbMJUP[]fsj H QR[]O JjN H QR[]OO^ Jaringbn[]ZOslashKNihZJ H MeJ H WF[ JUP[]fcj H QR[]OYiexcl[SXH MeJlaquoUPJUfR[WbLQ H mwUPJUb H [PhYauml^jehQcO[ H MeJaeligKhZ[PKN[]N H Qc[]Oeuml[SX H MeJOslashbLjehYUPJwa2WiexclQ H Me[]j HH MeJcentEgrave[]jO^NihYmVcent-NPYJU^ H JLhlZb j^MeJ(JUP[]fcj H Qc[]OOslash[SX H MeJNSZOslashKfsQ H j^eJ[SX H MeJyacuteUPJUfR[Wb|VQ H mregUPJUb H [Ph[SXQ|iexcla2SjFQsY[]QUPJUO QcO not Q[aqYj^ ^ ^OecurrenJSe Xfrac34]eWMQsfRJ H MeJOtildeNSZOslashK-fcQ H j^eJ[SX H MeJUPJUfR[WbLQ H mwUPJUb H [PhOtilde[SX||iexclacirca2Ogravemacr]jiexclQcY []QUPJUO`QcO not QV[aqYj^ ^ ^OecurrenJSe Xfrac34]^ JOslashbLNPO[PcentYZJLhYUPJ H MN HaringH MeJUPJUfc[BbLQ H msup1WiexclQ H Me[]j HaeligH MeJNP^^Q H QR[]ONPf H JLhlZaringY QcYaeligNbn[]OY H NPO HWMJLhZJ [PcentUWQR[]jYfVm H MJaQZaringN[PJfrac34XJUN H jehJUY ^e[OacuteO[ H NiKKEgraveJUNih^ q O H MeJabn[]O H hNihYmH MeJaumlQCZaringN[PJordfXJUN H jhZJUYuWFJUfcfNiKKEgraveJUNihQcO H MeJordfUPJUfR[WbLQ H m QcObLfcj^QcOF[ H MeJaumlNP^^Q H QR[]ONPfH JLhlZ Yya not QV[aqYj^ ^ ^OecurrenJSe Xfrac34jiexclNPO^ Y[ H MeJaumlYljNihJTbLNPO centEgraveJordfWNtildeJUfsfYJ[]ZOslashJUO H JU^O^MeJyKhZJUWQR[]jYEgravehJUYZjf H YgYMe[W H MN H Q H QcY[SXeKhQCZOslashJ$OeJUbnJUYZYZQ H m H [ H N`PJQcO H [NPb|Vbn[]jO H0H MJNP^^Q H QR[]ONPf H JLhZaringYeWbn[]ZaringQcO[XhZ[]Z hZJ[]QR[]OeV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhYeQcO[Phd^eJLh H [ hZJUNPbdMaN H hdjeJgZaringQcOQCZIacutejFZ [SX H MeJaumlbnhQ H JLhdQR[]OO^

uumlnyacutenthornnyumll13YSordmY_F

S $amp)(+-)013021+345627893lt=gt9A6CBEIumlparaacuteAgravegtmicrosup1acuteIKJcedilJT2MgtI MraquoordfAEligMgtsup32MLwMKmicrobMgtAgraveacuteIshyacuteMgtPltAtilde iquest acuteAgraveKT13MKIshyAtildeAcirclaquocedilFAtildeacuteNicircMKIJfrac14ltacutepoundAEligMAringcedilFLT2cedilIltR]acuteHcedilJLTOcircfrac12sup3T13ROgravecedilJT2MgtI JMAgraverltcedilFR]acuteacuteJacuteR]JT2MgtIicircT2ItT2NQacuteM paraacutePshyacuteIltR]acuteAtildeMQcY0K-Nih H ^eJUNPfcYWQ H M H MeJOtildeYJ[]ZOslashJUO H N H QR[]O [SXMe[]ZOslash[S[PJUOeJL[]jY(hZJ[]QR[]OYQcOZtimesjfuVH QcYZK=JUb H hdNPfQZaringN[PJUY^ YNPOaJkWNSZaringKfRJSeWFJIacuteYZMe[W H MN HiexclH MeJTbn[UiNihQcNPObnJZaringN H hQVkbLNPOacent=JIacuteNUPJLhYm KEgrave[WFJLhYXqjf H [B[]f H [ YJ[]ZOslashJUO H Me[]Zaring[S[PJUOeJL[]jYbn[]fR[PhiexclhJ[]QR[]OY^F5OXqNPb H e H MeJtimes^eJ H JLhlZaringQsONPO H [SX H MeJTbn[U~NihQsNPObnJZ N H hQkKhZ[UPJUY H [ centEgraveJIacuteNaringhJUfRJU~NPO Hbn[]fR[PhaelighZJ[]Qc[]O7M[]ZOslash[S[PJUOeJUQ H msup1ZOslashJUNPYZjhZJZOslashJUO H a G NPO[SWQcOeJ NPO^r[PhdOeJSeufhShSi]j^_`QcOQZ QVcurrenUQcO[ H MQcYjNPO H Q H m ZOslashJUNPOY H MN H WFJwWNPO HH [^eJUbnhZJUNPYJ H MeJeumlbn[]ZaeligVKfcJkWQ H m[SXUacuteNeumlhZJ[]QR[]Oa hdNmJ H NPfd^Ve sSs fampN H JUjke sSsSs j^MQcY H [B[]fuZaringNmKhdNPb H QcbLNPfcfVm cent=JaumljYJU^X[Ph XiacuteNPbnJtimes^eJ H JUb H QR[]OaQsO QZaringN[PJaumlYJBjeJUObnJUY^macr^f^laquoIgraveIcirc=KEgrave(FETHOEacuteltEgraveIcircEcircgtNtildeltIcircIgrave8 EacuteshyOacute ETH9IgraveAgrave=Eacute3+NtildeshyEgrave13NtildeshyOacute=KIgravefrac34Iacute_NtildeFETHEgraveEcirc20EacuteshyEgrave=EacuteshyEumlEacuteshyEgrave2Iacute Ntilde4ltIgraveIcircMJQcO H JUOYZQ H mxXiacute[Ph bn[]fR[Ph QCZaringN[PJUYaringQcYOslashhJLKhZJUYJUO H JU^centm7NpoundXiacutejOb H QR[]OOtildeegravearingOumlOtilde 13ordfcent ntilde Otilde 13 WMeJLhZJ Otilde aacute Otilde szligYOtildeOgravecentszligYOtilde13ordf ^iexclXm NPONPfR[S[SmAumlWQ H M H MeJOacuteY H j^Fm Xiacute[Ph[PhZJmWYZbLNPfRJFQZaringN[PJUYeWNtildeJZaringQcOQCZaringQVcurrenLJ H MeJNtilde^J H JLhlZaringQcONPO H [SX H MeJFbn[UiNihQcNPObnJcopyZaringN H hQVk[SX H MeJTbn[]OYQc^eJLhZJU^hZJ[]Qc[]OY^ J5ZaringNmaringNPYYZjFZOslashJ H MN H JUNPbdM bn[]fR[PhFhZJ[]QR[]Oacute13 QsYOcircZOslash[W^eJUfcfRJU^OslashcentmOslashNg[]NPjYYZQcNPO^QsY H hQRcentj H QR[]Oeuml[SXyacuteZOslashJUNPOiexclSegraveaacute S szligPS cent szligPS NPO^7bn[UiNihQcNPObnJZ N H hQk5^MeJKh[PcentNicentQcfcQ H maring^eJUOYQ H moXiacutejOb H QR[]O QcYu[]QUPJUO centm H MeJgXiacute[]fcfR[WQcO[aeligJkWKhZJUYZYQR[]OOaring

$ampamp aOtildejOcircaacute fa )( j +cent aq^J H ayacutejj cent JkWK- f aOtilde Sltj thorn aOtilde Sltj a2Ograve]jG [eZaringQcOQZaringQVcurrenUQcOF[ H MJbn[U~NihdQcNPObnJuZaringN H hQktimes^eJ H JLhlZaringQcONPO H [SX-NPOtimesJUP[]fVUWQcO[hJ[]QR[]ONiKKEgraveJUNihY H [OslashcentEgraveJNtimeshZJUfcJU~NPO HH [[]f H [ordmZaringN`PJ H MQcYFhZJ[]Qc[]O bn[]OUPJLhY[PJ H [WFNih^Y H MeJbLfR[]YZJUY H Me[]ZOslash[S[PJUOeJL[]jYbn[]fR[PhiexclhZJ[]QR[]OO^9J H jY$Oe[ H J timesOslash NPO^0copyUgraveUcircUacuteUuml H MJbn[UiNihQcNPObnJ5ZaringN H hQcbnJUYy[SX=hJUYKEgraveJUb H QVUPJUfVmordmOuml timesOslash aagravejNPO^tOuml UgraveUacuteUuml aagravejaring

atilde aacute213 u Patilde u centatilde u atildeu cent atilde u centcentatilde u cent4atildeu5 atilde u5centatilde u54atilde67 a2zSj

WMJLhZJSaringEFFG FFH u times aumlatilde aacute iacutefaring w aring thorn yuml aOtilde times S times atilde jaOtilde auml S auml atilde j atilde aumlS times atilde aacute iacutefaring w aring thorn yuml Otilde times a2atildeltszligaumlj atilde auml WQ H M aacuteiVIgraveOacute[Ph Kf5

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ J [PcentUWQR[]jYZfm`MNUPJacuteu times aumlatilde aacuteu auml timesatilde ^shy9J H jYaumlO[ H J ^eJ H a atilde j H MJ ^eJ H JLhlZaringQsONPO H [SXH MeJaumlbn[U~NihdQcNPObnJZ N H hQkWiexclMQcbMJkBKhJUYZYZQR[]O QcY H MJgX[]fsfR[WQsO[aring

^eJ H a atilde jumlaacute u Patilde u centcentatilde u 4atilde u centatilde u atilde u cent4atilde u Patilde u cent4atilde u cent4atilde u centcentatilde u atilde u atilde u 4atilde u centatilde u centatilde a2Ogravei]jnot jOb H QR[]OY [SX H MeJeumlbn[UiNihQcNPObnJpoundZaringN H hQk ^eJ H JLhZaringQcONPO H YNihZJ jYJU^ NPY hJ[]QR[]O^eJUYbnhQRK H [PhY^ JIacutebMe[B[]YJ H MJordfX[]fcfc[WQcOF[aeligYZJ H [SX$^eJUYZbnhQRK H [PhYaringEFG FH uuml thorn UgraveUcircUacuteUuml yuml aacute98ordfaq^eJ H acopyUgraveUcircUacuteUumlAjjuuml thorn timesOslash yuml aacute98ordfaq^eJ H a timesOslash jjuuml thorn otilde)yuml aacuteOslashb a2Ograveh]jWMJLhZJ8ordfaOgravejFQcYNOslashKEgrave[]YZQ H QVUPJiexclXiacutejOb H QR[]O [SXampbLfcNPYZYograve aOtilde 13yjFNPO^Cb`NOslashKEgrave[]YZQ H QVUPJOtildebn[]OWVY H NPO H ^gJ H jYNtildeOe[W WhQ H J H MeJJUP[]fcj H Qc[]OaringJBjN H QR[]O [SX H MeJiexclNPb H QUPJbn[]O H []jehcentmbn[]ZOslashK-j H QcO[ H MJIacute^QEgraveJLhZJUO HH JLhlZaringYiexcl[SX_a j^J H NPQcfcYiexcl[SX H MeJIacutebn[]ZaringKj H N H QR[]O bLNPOcentEgraveJgXiacute[]jO^QsOaNiKKEgraveJUO^QVk X5^gtMJaumlJUP[]fcj H QR[]O`JBjN H QR[]O[SX H MJIacuteNPb H QVUPJaeligbn[]O H []jhQcY H MJgX[]fsfR[WQsO[aringaelig Yacuteaagravejaelig agrave aacute8gaq^eJ H atimesOslashjj 8ordfaq^eJ H a UgraveUcircUacuteUuml jj`b admacr s jlt8Icircraquodaq^eJ H a times Oslash jgt= ccedil A B egrave aOtilde S timesOslash jaOtilde B5 S BtimesOslash jB^eJ H aDC EBtimesOslash ja fj BGFH amp^eJ H atimesOslashj48 raquo aq^eJ H atimesOslashjj 8Icircraquodaq^eJ H a UgraveUacuteUuml jgt= ccedil I B egrave aOtilde Eacute S UgraveUcircUacuteUuml jaOtilde B S BUgraveUcircUacuteUuml jB^eJ H aDC JBUgraveUacuteUuml ja fj BKFH amp^eJ H a UgraveUcircUacuteUuml j48 raquo aq^eJ H a UgraveUcircUacuteUuml jjcedil13eacuteMJZaringN H hdQkLC JBatilde QsY ^JU^jbnJU^icircXh[]Z H MJeumlbn[U~NihdQcNPObnJbZaringN H hdQkM atilde centm YZjeKeVKhJUYZYZQcO[ H MeJ uuml UumlON hZ[WENPO^ H MeJ I UumlON bn[]fcjFZaringO^MeJeumlfcNPY H Xiacute[]jeh fsQcOeJUY [SX H MeJJBjN H QR[]ONihZJ H MeJOtildeNP^^Q H QR[]ONPf H JLhZaringY(bn[]ZaringQcO[XiacutehZ[]Z H MeJiexclU~NihQsN H QR[]O [SX H MeJOtilde^eJnVYZbnhdQRK H [PhYWiexclQ H Mordmagrave^ Y0Q H MNPYycentEgraveJLJUOOslashKhJUBQR[]jYZfVmTKhZ[UPJU^X[Ph[PhZJmWYZbLNPfRJiexclQCZaringN[PJUYeH MeJUYZJ H JLhlZaringYMNUPJ H [ cent=Jaumlbn[]OYZQc^eJLhZJU^ QsO[Ph^eJLh H [regZ N`PJ H MeJTNPb H QUPJTbn[]O H []jhbn[]OUPJLhY[PJ H [WFNihd^YNZ QcOQZtimesjFZ [SX H MJTbnhQ H JLhQc[]OO^macr^ ^~THORNUgrave2FIgraveFEgrave2Iacute_IgraveFOacuteshyETHOgraveNtildeshyEumlEgraveOIgraveIcircdEumlETHOIcircnot [Ph H MJ JkWKEgraveJLhQZOslashJUO H YeQWNtildeJ H N`PJCntildea]jordmaacute ILK Kaf[]jgWMQsbMsup1[]QVUPJUYnntilde raquo aOgravejaacutefdOafWOgravej(NPO^8ordfaOgravejaacute ILK KafIcirch cent juWMQcbdMt[]QVUPJUY8 raquo aOgravejaacute ETHOafIcirch cent j^ JbdMe[[]YZJ bbaacute f s ^QMeJaringbn[]fR[PhtimesYKNPbnJ YJUfcJUb H JU^QcYaQPszlig l szligicirclaquojeltWMeJLhZJwaOtilde aacuteRPordmjhZJLKhZJUYJUO H Y H MeJfsjFZaringQcONPObnJNPO^waOtildeOgravecent5aacute l j$NPO^frac34aOtildeS aacuteOslashicircj$hZJLKhZJUYJUO HyH MeJ H WF[bdMehZ[]ZaringQcONPObnJUY^ not [Ph H MeJbn[]ZaringKj H N H QR[]OOslash[SX H MeJuUiNihQcNPObnJSei[]Ofm H MeJfcjZaringQcONPObnJQcY(jYJU^O^

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CB5Oaring[Phd^eJLh H [aeligYJ[]ZOslashJUO H NPO Me[]ZOslash[S[PJUOJL[]jY0hJ[]QR[]OOeOgraveWFJiexclY H Nih H WQ H M NPO QcOQ H QcNPf

bLjehlUPJ0QcOYZQs^eJ H MJ0hZJ[]QR[]Oauml[SXWQsO H JLhZJUY H ^MeJybLjhYUPJ0QcY H MJUOTYZjeKK=[]YZJU^ H [JkWKNPO^jO H Qcf(Q H hJUNPbMeJUY H MeJ centEgrave[]jO^NihlmOacute[SX H MeJabn[]ObnJLhdOeJU^ Me[]Zaring[S[PJUOeJL[]jYaringhJ[]QR[]OO^MJtimesbLjehlUPJtimes^e[BJUYUacuteOe[ H [P[cent=JmP[]O^ H MJUYJaeligcent=[]jO^NihQRJUYiexclYZQcObnJSe=[UPJLh H MeJLhZJSe H MeJbnhQ H JLhQR[]OOacuteQsObnhZJUNPYJUYtimescentEgraveJUbLNPjYJ H MeJU~NihdQcNPObnJOcircu centtimesOslash [Ph H MeJ bn[U~NihdQcNPObnJtZaringN H hQVk^eJ H JLhZaringQcONPO H ^eJ H atimesOslashjUcirccentOtildeQsObnhZJUNPYJS^MeJaringNPfV[P[PhQ H MZEcentNPYJU^[]O H MeJ bn[UiNihQcNPObnJZaringN H hQVkeumlQcYaumlK=JLhlX[PhlZaringJU^euml[]ONPOQZ N[PJ [SX H MeJUBQs^eJL[`YJBjeJUObnJrnN`WQVmP[]peumlQcO[Ph^JLh H [euml^eJ H JUb HaeligH MeJYKEgraveJUN`PJLhUTYXqNPbnJS^gtMJaumlJUP[]fcj H QR[]O[SX H MJIacutebLjehYUPJIacuteQcYu[]QVUPJUO QcO not QV[^ macr^gtMeJTbn[]O H []jehiexclJUP[]fUPJUYH [ONPfcfVmbn[]OUPJLhY[PJaelig[]O H MeJIacutecent=[]jO^NihQRJUY[SX H MJyXqNPbnJa not QV[^ macr^bj^OMeJyXiacuteNPbnJaeligQcYH MeJUONPbLbLjehdN H JUfVm YZJ[]ZOslashJUO H JU^^FMeJUacuteNSZOslashKfcQ H j^eJ[SX H MeJiexclUPJUfR[BbLQ H m QsYFNPfsY[laquo[]QVUPJUOQcO not QV[aqYj^ macr^ ^OecurrenJSe Xfrac34jNPO^WNtildeJUacutebLNPO [PcentYJLhYUPJ H MN HFH MeJ5XiacuteNPbnJUacutehZJ[]QR[]O QcYUPJLhYmWFJUfcf^eJUfsQZaringQ H JU^regXhZ[]Z H MJ[ H MJLhhZJ[]QR[]OY^MJ5UPJUfc[BbLQ H m[]QUPJUO QcO not QV[aqYj^ macr^ ^OecurrenJSe XQcObLfcj^eJUY H MeJNP^^Q H Qc[]ONPf H JLhlZaringYFbn[]ZaringQcOF[yXiacutehZ[]Z H MeJ5UiNihQcN H QR[]O [SX H MeJiexcl^eJUYbnhQRKeVH [PhY5WQ H Magrave`centj H ^e[BJUYOtildeOe[ H QcObLfcj^eJ H MeJaeligcentEgrave[]jO^NihlmVcentNPYZJU^ H JLhlZ WMQcbMeumlQcYUacuteNYYZaring[[ H MQsO[ H JLhlZ^KMeJtimesNSZOslashKfcQ H j^eJOtilde[SX H MeJyUPJUfc[BbLQ H maQcYiexclOe[PhlZaringNPfcQcurrenLJU^ centEgraveJ H WFJLJUOs NPO^ macrSmacre$YZjbdM H MN HTH MeJ OeJ[]N H QVUPJoU~NPfcjJUYIacuteNihZJ fR[WFJLh H MNPO f i`NPO^ H MeJKEgrave[]YZQ H QUPJ[]OJUYNihZJTMQ[]MeJLh H MNPOpoundf i^ J bLNPObn[]ZaringKNihZJ H MJ QcOQ H QsNPfUPJUfR[BbLQ H m[Pcent H NPQcOJU^jYZQcOF[ H MeJ bn[U~NihQsNPObnJZaringN H hdQk admacr s juWQ H M H MeJOtilde[]OeJOtilde[Pcent H NPQcOeJU^jYQcO[ H MeJordfUiNihQcNPObnJrega2Sj^KMeJordfXqNPbnJTQcYOe[ H WNtildeJUfsf9^eJ H JUb H JU^QcO H MeJUPJUfR[BbLQ H m[Pcent H NPQsOeJU^ajYQcO[ H MeJUiNihQcNPObnJa not Q[^ ^bjWMJLhZJUNPYIacuteQ H QcYIacutehZJUNPfcfmumlWNtildeJUfcfF^eJ H JUb H JU^QsO H MeJQcOQ H QcNPfUPJUfR[WbLQ H m7jYZQcOF[ H MeJbn[iVUiNihQcNPObnJpoundZ N H hQk a not QV[^ ^currencentj^_MeJ UPJUfR[WbLQ H m [Pcent H NPQcOeJU^ jYZQsO[ H MeJumlU~NihdQcNPObnJ^e[BJUYOe[ H NPfsfR[W NPOJltz bLQRJUO H YJ[]ZOslashJUO H N H QR[]O`[SX H MeJyXiacuteNPbnJauml[]O H MeJaumlbn[]O H hNihYm H [H MeJIacutebn[UiNihQcNPObnJlaquoZaringN H hQk^eJ H JLhZaringQcONPO H WMQsbM H N`PJUYUacuteNP^UiNPO H N[PJaelig[SX H MeJtimesbn[]fR[PhQcOFX[PhlZ N H QR[]OO^macr^ ^WVFEumlETH=gtNtildeFETH32EacuteltOacuterETHEacute`0Ntilde=KIgravek8ltIgraveFETHIgrave5=KETH32EacuteltOacute~2Oacute+(8ltIgraveEacute IcircIgrave5euml1IgraveFOacute=KIgraveIcircMJa^eJUYZbnhQcK H [PhYOslashcentNPYZJU^[]O H MJ`bn[UiNihQcNPObnJZaringN H hdQkNihJ`QZOslashK-fRJZOslashJUO H JU^ H [^eJ H JUb H MBjFZaringNPO XqNPbnJUYQcO UWQc^eJL[OacuteYJBjeJUObnJUY^MQsYaring^eJ H JUb H QR[]OegraveZaringNm cent=J`jYJU^Xiacute[PhtUWQc^eJL[ bn[B^QcO[ H [JUObn[W^eJYJUfcJUb H QVUPJUfVm H MeJOacuteMBjFZaringNPOegraveXqNPbnJS^ not [Ph`N []QVUPJUObn[]ZOslashKhZJUYZYZQR[]OOacutehN H QR[e H MeJoXiacuteNPbnJbLNPO7cent=J H hNPOYYZ Q HH JU^bWiexclQ H MN MQV[]MJLhThN H J H [H MeJ^eJ H hdQZOslashJUO H [SX H MeJcentNPbl`[Ph[]jO^O^uMQsY QsO H JLhZJUY H QcO[KhZ[PKEgraveJLh H m QcYUiNPfcjWVNicentfcJuX[PhUBQc^JL[Bbn[]OXiacuteJLhZJUObnJUYe]WMeJLhZJ H MeJ ZOslash[]Y H QZOslashKEgrave[Ph H NPO H NPO^regZOslash[]Y H U~NihdQcNicentfRJQcOFX[PhlZ N H QR[]OQcYfR[WbLN H JU^ []O H MJordfXiacuteNPbnJaq 5ZOslash[]Oe[]j`NPO^tUacutejMNSZaringJUfde sSsSs j^ J QcOQ H QcNPfcQVcurrenLJ H MJhdY H XiacutehNSZOslashJoWQ H M7N`bLQchbLfRJ QsOYZQc^eJ H MeJXqNPbnJ H [ H hNPbY`K^MJUOOeyacuteWFJsup1ZaringN`PJ H MeJNPb H QVUPJ7bn[]O H []jeheumlJUP[]fVUPJjYZQcOF[admacr s jeiexclWQ H MX8ordfaOgravejxaacuteILK KafUgravemiddot cent j^ltMeJregONPfybn[]O H []jehtimes[SX H MeJ bLjehZhJUO H QZaringN[PJ QcY H MeJUOOacutebdMe[]YJUO7NPYNPO QcOQ H QcNPfbLjhYUPJordfX[Ph H MJUacuteOJk H QZaringN[PJS^FMeJOtildeNPfV[P[PhQ H MFZMNPYcentEgraveJLJUOKEgraveJLhYXiacute[PhlZOslashJU^[]OYJUPJLhdNPf$YJjJUObnJUY^MeJaelighZJUYjf H Y5X[Ph H MJaeligYZJjeJUObnJpoundn5JLhQV`p NihJordm[]QVUPJUOQcOnot QV[^ethz^shyMeJaringKNihNSZaringJ H hZJ bMNPYaumlcentEgraveJLJUOYZJ HaumlH [sup1f s ^QMeJordmXqNPbnJ QcYordfWFJUfcfy^J H JUb H JU^NPO^ H hNPbY`PJU^times[]O H MJ|WMe[]fcJyYJjJUObnJS^MJyhZJUYZjf H YOX[Ph H MeJNtildeYZJjeJUObnJnN`WQVmP[]p

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ macrNihZJy[]QVUPJUO`QsO not QV[^ i^ JaeligbMe[B[]YJbaacute s ^ JtimesbLNPO`YJLJ H MN HH MeJXiacuteNPbnJaeligQcYuWFJUfcf^eJ H JUb H JU^aJUPJUOaQVX H MeJaumlbn[]fR[Phiexcl[SXMJLhYZMQRh H QsY(bLfR[]YJ H [ H MJgXiacuteNPbnJIacutebn[]fR[Ph^

YOEAEligMgtIltROgravesup3PshyAtildeT13MKI5O H MQcYKNiKEgraveJLheuWNtildeJKhZ[PKEgrave[]YJN OeJW 0jfRJLhQcNPOAumlZaringQsOQZaringQVcurrenUN H Qc[]OAumlZOslashJ H Me[W^ H [bn[]ZOslashK-j H J H MJUPJUfR[WbLQ H mpoundUPJUb H [Pharing[SXNPONPb H QVUPJ bn[]O H []jeh H MN H JUOYZjehZJUYtimesQ H WQcfcfJUP[]fVUPJ NPYordfXiacuteNPY H NPYOtildeKEgrave[]YZYZQRcentfcJ H [WNih^YIacuteNZaringQcOQCZIacutejFZ [SXN bnhQ H JLhQR[]OeumlQcObLfcj^QcOF[centEgrave[ H MUacutehZJ[]QR[]OeVcentNPYJU^TNPO^OtildecentEgrave[]jO^NihYmVcentNPYJU^ H JLhlZ Y^ q jehgNiKKhZ[]NPbMIacuteQcYcentNPYZJU^Otilde[]OYZMNiK=J[PK H QZaringQVcurrenUN H Qc[]OOslashKhQcObLQRKfRJUY$NPO^ QcYyKEgraveJLhYXiacute[PhlZOslashJU^ QcO H MehZJLJ5ZaringNPQcO Y H JLKYaringf^ltO H hZ[W^jb H QR[]O[SX$NOslash^mWONSZaringQcbLNPfYbMeJZOslashJIacuteQcO H MeJTbnhQ H JLhQR[]OOe ^vF[]ZOslashKj H N H Qc[]Oaelig[SX H MeJ_0jfRJLhdQcNPOaelig^eJLhQVUiN H QVUPJ[SX H MJbnhQ H JLhQR[]OOslashjYZQcO[OtildeYZMNiKEgraveJ

[PK H QZaringQVcurrenUN H Qc[]O H [[]fcYe^vF[]ZOslashKj H N H Qc[]Oa[SX H MeJtimesJUP[]fcj H Qc[]OaJBjN H QR[]O`[SX H MeJaeligNPb H QVUPJtimesbn[]O H []jehiexclXiacutehZ[]ZH MeJT^eJLhQU~N H QVUPJS^

iexcl Ntilde _ cent G NPfcfR[WY H [hJUNP^QcfVm H N`PJNtildeQcO H [NPbLbn[]jO H9H MeJybLNPYJ0[SXBhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H^eJUYbnhQRK H [PhY H MN H NihZJo[]fR[PcentNPfcfVmN HH NPbdMeJU^ H [ H MeJ JUP[]fVUWQcO[ hZJ[]QR[]OYtimesNPO^Y[H MN H UiNihYm^jehQsO[ H MJaumlKhZ[PKN[]N H Qc[]O [SX H MJaumlbLjehYUPJS^ JTYMe[W H MN HH MeJgUiNihQuVN H QR[]O [SX H MeJUYJ^JUYZbnhQRK H [PhdY QsO^jbnJUYNP^^Q H QR[]ONPf H JLhlZaringYQcO H MeJeumlJUP[]fcj H QR[]OJBjN H QR[]Oeuml[SX H MeJaringNPb H QVUPJ bn[]O H []jeh^MJUYJ H JLhlZaringYgZtimesjY H Oe[ H centEgraveJlaquoX[Phl[P[ HH JUOQcO[Ph^JLh H [ hZJUNPbMeumlN H hjeJZ QcOQZtimesjFZ[SX H MeJtimesbnhQ H JLhQc[]OaNPYUacuteQ H MNPYcentEgraveJLJUOKEgrave[]QcO H JU^[]j H QsOJkBKEgraveJLhQZaringJUO H NPfEgravehZJUYjf H Y^

Yfrac34XiacuteNiheumlNPYeumlMe[]ZOslash[S[PJUOeJL[]jYeumlbn[]fR[PheumlhZJ[]Qc[]OY`YZJ[]ZOslashJUO H N H Qc[]OQsY`bn[]ObnJLhdOeJU^OeWFJKhZ[PKEgrave[]YJ H MeJ`bn[U~NihQsNPObnJfrac34ZaringN H hdQk^eJ H JLhlZaringQcONPO H NPY N^eJUYbnhQRK H [Ph^MQcYY H N H QsY H QcbLNPfhZJ[]QR[]OeV4^eJLKEgraveJUO^eJUO H ^JUYZbnhQRK H [PharingNiKK=JUNihdY H [centEgraveJN UPJLhlm7hJUfRJU~NPO HH [B[]fampNPO^eumlY[ Q H MNPYUacutecent=JLJUOeumlYZjbLbnJUYZYXqjfcfVm NiKKfsQRJU^ H [XqNPbnJaring^eJ H JUb H QR[]OQcOfrac34UWQc^eJL[YJBjeJUObnJUY^

iquest acuteraquoacuteLacuteIltR]acuteAtildeagraveIgravefrac14dEcircsup1Atilde5AringiquestLmiddotNtildeIumliquestUumlgIumlUTHORNampAtildeEacutecedilAtilde5AringAcircnAtilde|iquestaacuteIacuteIumlIZEgravefrac14Zcedilfrac12frac14dAringiEcirc]iquestfrac14draquoiEcirc[NtildeIumlagraveAringEacutePAtildecedilwAacute4] uacute_^J^J^ iquest)` igraveraquoLCcedilfrac14cedil4Ecircfrac14draquo~Ecirc(Auml|AringAacuteCcedilfrac14Zcedil4Ecirc

Agrave5AringcedilAcircnAtilde$AtildeAcircnAuml|frac12AringAacutesup1AumldraquoTAringAEligwsup1raquo~ordm(frac12Atilde5AcircnAtilde5frac12AEligwAtildeAacuteampIgrave(Atilde AacuteIcirc~AumlUEcircSaIumligraveraquo13] x4~rv p4PldrRtcoPl|Egraveod5v pv i4vodaumlx4shyl not vsectpqo v tu not Iumlcb$Auml|EacutePAtilde|iquestednfrac14Oumlifrac14draquoIuml

agraveIgrave(Aumldraquo~Auml|Aringiquest~igrave4IumlPfrac14raquoiEcircfWIumliTHORNampAringIcircifrac14Igrave(Atilde5frac12G] divideugrave|ugrave|ugrave iquest` igraveAacuteAtildecedil4frac14ZAacutesup1Acirc|AtildeNtildeEacute~frac14dAgrave4UgraveUCcedilEgravefrac14cedil4EcircUacuteAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoUacuteOgraveregAumldcedilIcirc~sup1Atildecedil4frac14cedilAgrave4Icirc~sup1currenEumlAgravefrac14dfrac12=CcedilEgravefrac14AcircnAtilde5frac12AtildeAacutesup1Igravefrac14ordm|AtildeAgrave5AumlUEcircsup1raquo~ordmIaIumlaeligigraveiacuteraquoS] x4rv p ildrRtcodil|ampod5v pv P4vOtildeodOslashx4shy(l not vFsectpqo v tu not Iumlg frac14raquo~Agrave5AumldAring~AcircnAtildecediliquestehEgravefrac14raquoifrac14|Ecircfrac14Iuml

agraveAringEacutePAtildecedilwAacuteiquest[NtildeIumlWfrac14raquoiEcircifWIuml13b$Aumldcedilraquo~OumlcedilAuml|EacuteAEligqAacute4] divideugrave|ugraveuacute iquestkj ldrregv shy(ldrRtcl|ipwonm5v shyNtildetuOslashtushyl not vampipwo4v tu not sect9ldp4rRtcl|Egravedt lv pv ~rRtRl|9vDm~lrRtcod~ldiTrreg~vUacutel| Uiexcloqnldp4tcldrRtRod~ iquestpoAumlIuml uacute_qEr IumlOslashagrave9Ouml~Oumlfrac12sup1AtildeEcircaacuteUacutefrac14AacuteIcirc~AtildeIgravefrac14Aacutesup1Agravefrac14dfrac12BatildeAgravesup1Atilderaquo~Agrave5Atilde5AElig5iquestPatildeOumlcedilsup1raquoordm|Atildecedil g Atildecedilfrac12frac14dordmIumlhEgravefrac14dAEligwAtilde5frac12frac12Atilde5AElig5iquest g Iumliquest~szlig0Iumleb$sup1Igrave(Igrave(Atilde5frac12Riquestifrac14raquoiEcirc[NtildeIumlatildefrac14dOumlsup1cedilAumlI] uacute_^J^Er iquest`s[Atilde5AumlUEcircAtilde5AEligwsup1AgraveFfrac14dAgraveAacutesup1AcircnAtildeyAgrave5AumldraquoUAacuteAumldAringcedilAElig_aIuml x4~rv p4PldrRtcodPldpoundUodUp4Pl|WoqodshyiUrv paumlumltutcodutet13v uacute+w iquestex uacuteyIrz^ Iuml

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CBh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34LiquestBagraveyIumlWfrac14raquoiEcircidIumlBTHORNampAringraquo~Agravefrac14raquo13] uacute4^z^J^ iquest`[ampfrac14Igrave(AtildeEumlcAacuteIcirc~Atilde5AumlcedilAtildeAacutesup1Agrave(sup1raquoUAacuteAtildeordmdcedil4frac14Aacutesup1AumldraquoaeligOgraveuAumldcedil0sup1Igravefrac14dordmdAtildeAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIuml xQ|||~pwl~ lnrRtcodNtildeodiexclsect9lrRrv p auml9Pl| ~tuyldi j l|4Utu]vx4~rvreg t not v P4v Iumlh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34Liquestgagrave0IumliquestIumlgatildeUAacute4frac14dsup1Eacuteiquest9frac14draquoiEcircdIuml9THORNampAringraquo~Agravefrac14raquo13] uacute_^J^ xiquest` THORNampAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeIacuteEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34iraquo~Ecircsup1raquo~ordmsup1raquoIgrave(AtildeEcircsup1Agravefrac14frac12iexclsup1Igravefrac14ordm|Atilde5AEligaringEacuteLfrac34Oacutesup1raquoLAacuteAtilde5ordmcedil4frac14Aacutesup1raquo~ordm ordmdcedil4frac14|Ecircsup1Atilde5raquoLAacute frac14raquoiEcirccedilAtilde5ordm|sup1Auml|raquo sup1raquoOgraveuAumldcedilIgravefrac14ZAacutesup1Auml|raquo13aIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu notI iquesteE ^4y rdugrave Iumlh=Icircifrac14raquoiquestBETHIumlWfrac14raquoiEcircIuml g Atilde5AEligwAtildeJ] dividedugravedugraveuacute iquest` agraveAgraveAacutesup1AcircnAtildeFAgrave5Auml|raquoLAacuteAuml|AringcedilAElig$Ccedilgsup1AacuteIcircAuml|AringAacuteNtildeAtilde5Ecircordm|AtildeAElig_aIuml xQ||k|~pwld lnrRtcododUacutex4shy(l not v9sectpqo4v 4tu notuU v divideJw iquest divide xJx ydividezrJr Iumlh=Icirc~Atilde5AEligwraquo~frac14dAring~EcirciquesthIumliquestfWIuml=szligAtildeOgraveYacutecedilIAtilde5ordm|sup1Atildecediliquestfrac14draquoiEcirc g Iuml5Z=AumldAring~frac12AtildeAacute4] uacute_^J^z^ iquest`currenatildeUAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12cedilAtilde5ordmdsup1AumldraquoAEligwraquoifrac14dUgrave|AtildeEumlsEacuteifrac14dAEligwAtilde5EcircAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquofrac14|Ecircfrac14dOumlAacuteAtilde5EcircFAacuteAumlyEcircsup1s]AtildecedilAtilde5raquoLAacute-Ouml~IcircLfrac34AEligwsup1Agrave5frac14dfrac12~raquoAuml|sup1AEligwAtilde9Igrave(AumlUEcircAtilde5frac12AElig_aIuml xQ||k|~pqld~ lnrRtco~$osect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4vt iquest uacute|uacute_q y~uacute|uacute xIumlh=Auml|IcircAtilde5raquoiquestIuml] uacute4^z^uacute iquest`currenmiddotraquofrac14dAgrave Aacutesup1Acirc|Atilde Agrave5AumldraquoLAacuteAuml|AringcedilIacuteIgrave(AumlUEcircAtildefrac12AEligtimesfrac14draquo~EcirceumlEacuteifrac14dfrac12frac12AumlLAuml|raquoAElig_aIuml odshyiUrv pumltutcod pwl Utc0ldix4shyl not vsectEgravepwo4v tu not x4shyl not vOtildePnv p rsldidtu not) iquest divideUuacuteduacuteydivideLuacute UIumlh=Auml|IcircAtilde5raquoiquestSIumliquestUumlIuml13ZEgravefrac14cedil4Ecircsup1raquo~AtildeAacuteiquestfrac14raquoiEcircoNtildeIumlagrave9frac34Lfrac14dAgrave4Icirc~AtildeJ] uacute_^J^z iquest`atildeUAringcedilwOgraveufrac14dAgrave5Atilde0cedilAtilde5Agrave5Auml|raquoAEligqAacutewcedilAring~AgraveAacutesup1AumldraquotimesAring~AEligwsup1raquoordmfrac14AgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilaumlIgrave(AumlUEcircAtilde5frac12AElig_aIuml igraveiacuteraquoS] Lsect=xQ|od5v pv P4v od vwodshy(v rRp tc j v rregodtimestuodshyiUrv pumltutco Iuml~atildefrac14raquoUacuteTHORNampsup1Atilde5ordm|AumliquesthEgraveagraveyIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquestEgraveUumlIuml] dividedugrave|ugravedugrave iquest`currenatildeAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquo Ouml~frac14cedilAgrave5Auml|raquoLAacuteAuml|AringcedilAEligUacutefrac14AgraveAacutesup1currenOgraveuAEligUacuteAtilde5raquosup1Igravefrac14dordmdAtildecedilsup1AtildeIacuteIgraveAtilde5Ecircsup1Agravefrac14dfrac12AtildeIacuteEcircfrac34UEumlraquoifrac14dIgrave(sup1ecircLAring~Atilde]ampfrac14Ouml~Ouml~frac12sup1Agravefrac14ZAacutesup1AumldraquoAtilde5raquoeumlAgravefrac14Zcedil4Ecircsup1Auml|frac12Auml|ordmdsup1Atilde raquoUAring~Agravefrac12Atilde5frac14dsup1currencedilAtildeJaIumlfIcircIuml THORNFIumlAacuteIcirc~Atilde5AEligwsup1AElig5iquestraquo~sup1AcircnAtildecedilAEligwsup1currenAacutefrac34`AumlOgraveosup1Agrave5AtildeEumliacuteatildeAumldOuml~Icircsup1Yacutefrac14NtildeagraveraquoLAacutesup1OumlPAuml|frac12sup1AElig5iquestPeacutecedil4frac14raquo~Agrave5AtildedIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquest|UumlIumliquestUaacuteIacuteIumlEZEgravefrac14cedilfrac12frac14dAring~Ecirciquest[NtildeIumlLagraveAringEacutePAtildecedilwAacuteiquest|frac14draquoiEcirc dIumlnTHORN$frac14ZcedilAgrave5Auml|AringcedilwAacute4] divideugrave|ugraveUuacute iqueste`currenatildeOuml~frac14dAgrave5AtildeEgraveAacutesup1Igrave(AtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14EumlAacutesup1AumldraquoUacuteAring~AEligwsup1raquoordmfrac12Atilde5AcircnAtilde5frac12AEligwAtildeAacutefrac14dAgraveAacutesup1AcircnAtilde$AgraveAuml|raquoLAacuteAuml|AringcedilAEligfrac14Ouml~Ouml~frac12sup1AtildeEcirciexclAacuteAumlFIgraveNtildefrac34LAumlLAgravefrac14Zcedil4Ecircsup1frac14dfrac12ordmnfrac14ZAacuteAtildeEcircOtildeatildeIf-UumlkhEgraveETHaIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu not t v rJw iquest)x qJ+y xJ ^ Iuml

THORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquest13iexclNtildeIumlfrac14draquo~EcircdIumlWaacuteAuml|raquoLAacute4frac14ordm|raquoifrac14ZAacute4] divideugrave|ugraveUuacute iquest` ETHBAumldOumlPAuml|frac12Auml|ordmfrac34Oslashfrac14raquoiEcircIacuteAEligwIcirc~frac14dOumlPAtildeAgraveAuml|raquo~AEligqAacutewcedil4frac14sup1raquoUAacuteAEligyAumldraquotimesOumlifrac14Zcedil4frac14EumlIgrave(AtildeAacutewcedilsup1AgraveOslashfrac14dAgraveAacutesup1AcircnAtildearingAgrave5AumldraquoLAacuteAuml|AringcedilAElig_aIuml odshy~rv pumltutcodldP x4shy(l not vPLv p4rsldPtu notcent) v divideJw iquestuacute_qnugrave4yiuacute4rUuacute Iuml[Auml|Igrave(Atilde5AElig5iquestpounddIumlfrac14draquo~EcircaringmiddotNtildeIumleacuteifrac14Aring~ordm|Atilde cedil4frac14dAElig_] divideugrave|ugrave|ugrave iquestcurren` szlig9Atilde5Agrave5Aumldraquo~Agrave5sup1frac12sup1raquo~ordmIacuteEcircsup1AEligqAacute4frac14draquoAgrave5AtildeOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligfrac14draquo~Ecircaeligfrac12Atilde5AcircnAtilde5frac12EgraveAEligwAtilde AacuteAElig_aIumlpoundUodUp il|WoqUacuteumltul|-odshyNtildeshyFU~tR4lrRtcodTldix4shyl not vampgvipv v rsldrRtcod ) iquest dividedugravez^+ydivideddividez Iuml[cedil4frac145frac34LiquestszligyIumliquestdIumlyen-Auml|Aringraquo~ordmiquestampfrac14raquoiEcircagrave0Iumlampagravesup1currenfrac34LAtildecedil4] dividedugravedugraveuacute iquest `aacutesup1raquosup1IgraveNtildeAring~Igrave Ecircsup1AEligwAgrave cedilsup1Igrave(sup1raquo~frac14Aacutesup1Auml|raquosup1raquoOgraveregAumldcedilIgravefrac14Aacutesup1AumldraquoAgrave5frac12Aring~AEligqAacuteAtildecedilsup1raquo~ordmI]Igrave(AumlUEcircAtilde5frac12sup1raquo~ordmTfrac14raquoiEcircOslashecircLAringifrac14raquoUAacutesup1Ocircfrac14ZAacutesup1Auml|raquoOslashCcedilgsup1currenAacuteIcirc ordm|frac14dAringAEligwAEligIgrave(sup1currenicircAacuteAringcedilAtilde5AElig_aIumlTigraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquest=atildePIumliquest=aacuteIacuteIumlkZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestEgravefrac14raquoiEcirc[NtildeIuml=agrave9Aring~EacutePAtildecedilwAacute4] dividedugrave|ugraveUuacute frac14Uiquest` agrave EumliacuteatildeUAacuteAtilde5Ouml frac14dfrac12ordm|Aumlcedilsup1currenAacuteIcirc~IgraveAring~AEligwsup1raquoordmcedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtilde=Agrave5Auml|raquoLAacuteAuml|AringcedilAEligeOgraveuAumldcedilAcircUsup1EcircAtilde5AumlAuml|EacuteUbrvbarqAtilde5Agrave AacuteAElig=EcircAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoSaIuml~igraveraquo13]psect xw j x4 sect odpDumlqo odUacutex4shy(l not v9Pl| ~tu5op j rRtushyvwdtclNtildex4rv pwlnrRtKndvy]v pntc4v IumliETHWfrac14dIgrave(OumlPAtilde cedilAtilde|iquestieacuteWsup1raquofrac12Yacutefrac14raquoiEcirc]Iumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquestUatilde]IumliquestUaacuteIacuteIumlUZ=frac14cedilfrac12frac14dAring~EcirciquestUfrac14raquoiEcirccopy[NtildeIumlUagrave9Aring~EacutePAtildecedilwAacute4] dividedugravedugraveuacute EacuteiquestA` szlig9Atilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14AgraveAacutesup1AcircnAtildegAgrave5Auml|raquoLAacuteAumldAringcedilAEligOgraveuAumldcedilAcircUsup1YacuteEcircAtilde5AumlaringAuml|EacuteUbrvbarqAtilde5Agrave AacuteOtildeAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo Ccedilgsup1currenAacuteIcircaAgrave5frac14dIgrave(Atildecedil4frac14OslashAgrave5AumldIgrave(OumlPAtilde5raquo~AEligfrac14ZAacutesup1Aumldraquo13aIumligraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquesteatilde]IumliquestWaacuteIacuteIumlZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestefrac14draquo~Ecirc[NtildeIumlBagraveAring~EacutePAtilde cedilwAacute4] divideugrave|ugraveuacute Agrave|iquestk` g sup1EcircAtilde5AumlUacuteAuml|EacuteUbrvbarqAtildeAgraveAacuteFAEligwAtildeordm|Igrave(Atilde5raquoLAacute4frac14Aacutesup1AumldraquoAring~AEligwsup1raquo~ordmIacuteAtilde5Aring~frac12Atildecedilsup1frac14draquo cedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAElig_aIuml igraveiacuteraquoS] x4rv p ildrRtcodil|yodv pwv P4vIacuteoodshyiUrv paumlumltutcod Iuml g frac14draquoAgrave5Auml|AringAcircnAtildecediliquestehEgravefrac14draquo~frac14|Ecirc~frac14UIumlbyfrac14dAEligwAElig5iquesteaacuteIacuteIumliquestWagrave0Iuml Ucirc sup1currenAacuteUgravesup1raquoiquestWfrac14raquoiEcirctimesTHORNFIumlWETHBAtildecedilOcirc5AumldOumlPAuml|Aringfrac12AumldAElig_] uacute4^ JUiquestk`currenatilderaquoifrac14UgravenAtilde5AElig_]WagraveAgraveAacutesup1AcircnAtilde(Agrave5AumldraquoLAacuteAuml|Aringcedil0Igrave(AumlUEcircAtilde5frac12AElig_aIumlx4~rv p4PldrRtcoPl|WpoundUop4PldWoqodshyiUrv pTumltutcod iquest ndivideUuacuteyUzndivide Iuml

aacuteUacutefrac14dfrac12frac12frac14|Ecircsup1ciquest~szlig0IumliquestedIuml]atildeUAtildeAacuteIcirc~sup1frac14raquoiquest~frac14draquoiEcircZIuml g Atilde5IgraveNtildeAringcedilsup1G] uacute4^z^ UiquestS`atildeUIcircifrac14OumlPAtilde$Igrave(AumlUEcircAtilde5frac12sup1raquo~ordm0Ccedilgsup1AacuteIcirciexclOgraveregcedilAuml|raquoLAacuteOumlcedilAumldOumlifrac14dordm|frac14EumlAacutesup1Aumldraquo13]nfrac14ampfrac12AtildeAcircnAtilde5frac12AEligwAtildeAacuteEgravefrac14Ouml~OumlcedilAumlnfrac14dAgrave4Icirc13aIuml xQ|||~pwld lnrRtcodampodsectgldrRrv p 9Pl| ~tu9ldP j ln4Utreg]vx4~rvu t not v i4v Iordf iquest uacute z yiuacute+r UIuml

aacuteUacutefrac14draquoAEligwAuml|Aringcedilsup1Riquestagrave0Iumlfrac14draquo~EcircdIumlb$Auml|raquocedil4frac14|EcircS] uacute_^J^J^ iquestlaquo`currenaacuteAumldAacutesup1AumldraquoAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo`Ccedilgsup1currenAacuteIcirceumlfrac12Atilde5AcircnAtildefrac120AEligwAtilde AacuteAElig_aIuml igraveraquo13]x4~rv p4PldrRtcoPl|=ov pwv P4vNtildeodUacutex4shyl not vsectEgravepwo4v tu not Iumlcb$AumldEacutePAtilde|iquestednfrac14dOuml~frac14draquoIuml

aacuteAuml|raquoLAacute4frac14dordmdraquoifrac14ZAacuteiquestdIumliquestziexcl0IumlTHORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquestdfrac14draquo~EcircoNtildeIumlZagravegfrac34Ufrac14dAgrave4Icirc~AtildeJ] dividedugrave|ugraveUuacute iquest` agraveOslashcedilAtildeAcircsup1AtildeCcedilaeligAumldOgravePEcircAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeAEligwAringcedilwOgraveufrac14dAgrave5AtildeAElig_]AacuteAuml|OumlPAuml|frac12Aumldordmdfrac34Liquestgordm|AtildeAuml|Igrave(AtildeAacutewcedilwfrac34frac14draquoiEcirc EcircAtildeOgraveuAumlcedilIgravefrac14Aacutesup1Auml|raquoSaIuml x4shyl not vtimesldiOacuteumltutcododshy~rRtreg not0Inot v uacute_qw iquestuacuteugravendivide+y~uacuteugravezq|ugrave Iuml

aacuteAring~IgraveOgraveregAumldcedil4Ecirciquest=THORNFIumlgfrac14raquoiEcircdIumlatildeIcirc~frac14dIcircS] uacute4^ ^ iquest`currenmiddotOumlAacutesup1Igravefrac14frac12$frac14dOumlOumlcedilAumlicircsup1Igravefrac14Aacutesup1Auml|raquoAEligEacuteLfrac34Oumlsup1AtildeAgrave5AtildeCcedilgsup1AEligwAtildetimesAEligwIgrave(AumlLAumlAacuteIcircOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligFfrac14raquoiEcircOslashfrac14dAEligwAEligwAumlLAgravesup1Yacutefrac14ZAacuteAtildeEcircaringAcirc|frac14Zcedilsup1Yacutefrac14ZAacutesup1Auml|raquoifrac14frac12EgraveOumlcedilAumldEacute~frac12Atilde5Igrave(AElig_aIuml odshyNtildeshyFU~tR4lrRtcod~oaeligsectEgraveUpvUacuteldiEgraveni tsvw j ldrreg~v shy(lrRtccurrenshyt iquest rzr4y xJ q Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfa

yenKbrvbarsect =4 acirc $ zmiddotAEligwIcirc~AtildecediliquestdatildePIumlfrac14draquo~EcircdIumlnatildeAtilde AacuteIcirc~sup1frac14draquoS] uacute4^ ziquest` eacutecedilAuml|raquoLAacuteAEligeOumlcedilAumldOumlifrac14ordmnfrac14Aacutesup1raquoordmCcedilgsup1currenAacuteIcircFAgrave5AringcedilAcirc|frac14ZAacuteAringcedilAtildeEumlEcircAtilde5OumlPAtilde5raquoiEcircAtilde5raquoLAacuteBAEligwOumlPAtildeAtildeEcircS]

agravefrac12ordm|Aumlcedilsup1AacuteIcircIgrave(AEligEacute~frac14dAEligwAtildeEcircaumlAuml|raquoiexclampfrac14Igrave(sup1frac12AacuteAumldraquoEumldnfrac14Agrave5Auml|Eacutesup1eacute~AumldcedilIgraveNtildeAring~frac12frac14Aacutesup1Auml|raquoSaIuml poundUodUp4Pl|oqiexcloshyiUrsldrRtcoPl|sect=U~tc ordfenot iquest uacutedivide4yEqE^ Iumlfefrac14cedil4frac14ordm|sup1Auml|AElig5iquestoNtildeIumlfrac14draquo~EcircIacuteszligyIuml]THORNampAtildecedilsup1Agrave4Icirc~AtildeJ] uacute4^z^J^ iquest`s[Atilde5AumlUEcircAtildeAEligwsup1Agravefrac14AgraveAacutesup1AcircnAtildeFcedilAtilde5ordmdsup1Auml|raquo~AElig$OgraveregAumldcedil0Igrave(AumldAacutesup1Auml|raquoTAtilde5AEligqAacutesup1Igravefrac14Aacutesup1Aumldraquofrac14draquoiEcircAacutewcedil4frac14dAgrave4UgraveUsup1raquoordmAaIumligraveiacuteraquoS] x4rv p ildrRtcodil|-ov pwv P4vFodOslashodshyiUrv paumlumltutco Iumleh=AumldcedilwOgraveregAringgt[cedilAtilde5Atilde5Agrave5Atilde|Iumlfefrac14AacuteAtilde5Aringicirc]iquestatilde]Iuml] dividedugravedugrave|ugrave iquestpound`currenatildeOuml~frac14Aacutesup1frac14dfrac12AEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoTAumldOgrave=Agrave5Auml|frac12Aumlcedilysup1Igravefrac14ordm|Atilde5AEligampfrac14dAgrave5Agrave5Aumlcedil4Ecircsup1raquo~ordmAacuteAumlUacuteaacuteTHORNaringOgraveregAumldcedilIgravefrac14dfrac12currenEumlsup1AEligwIgraveaIumlyigraveraquo13] x4~rv p4PlrRtcodPld=od5v pv i vodododpFtu pwl4UtcldPx4shyl not vysectpqo v tu not Iumlatildefrac14dsup1raquoLAacute UumleAacutesup1Atilderaquo~raquo~Atildediquestieacutecedil4frac14raquo~Agrave5AtildedIumlfcedilAtildeAgrave5sup1Auml|AEligwAumliquesteacute=IumlEgravefrac14raquoiEcirc aacuteIacuteIumlcurrenZEgravefrac14cedilfrac12frac14dAring~EcircS] dividedugrave|ugraveUuacute iquest` Z-EumliacuteatildeUOuml~frac12sup1raquo~Atildeaumlfrac14dAgrave Aacutesup1Acirc|AtildeOtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAEligOgraveregAumldcedilOgraveRfrac14AEligqAacuteAcircUsup1EcircAtilde5AumltimesAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIumlOacuteigraveraquo13] x4rv p ildrRtcodil|od5v pv P4vaeligod x4shy(l not vUacutesectpqo4v 4tu not IumlETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1Riquest[cedilAtilde5Atilde5Agrave5Atilde|Iuml

szligAumldraquoOgraveufrac14cedil4EcirciquestszligyIuml] uacute_^J^q iquest` szlig9Atilde5ordmdsup1AumldraquoEumlsEacuteifrac14AEligwAtildeEcircFAEligqAacutewcedil4frac14ZAacuteAtilde5ordm|sup1Atilde5AEligeOgraveuAumlcedil-frac14dAgraveAacutesup1AcircnAtildeEgraveAgraveAuml|raquoLAacuteAuml|AringcedilIgrave(AumlUEcircAtilde5frac12AElig_aIuml x4~rv p4PldrRtcoPl|poundUodUp il|WoqodshyiUrv paumlumltutco I v dividezw iquest divideddividez^+yUdivide uacute Iuml

atildefrac14Igrave(AEligwAuml|raquoiquestzhIumliquestzIumlzZ=frac12frac14raquo~AgraveEumleacuteAtildecedil4frac14AringiEcirciquestJ[NtildeIumldagraveAringEacutePAtildecedilwAacuteiquestfrac14draquo~Ecirc dIumlJregPAtildecedilAring~Eacutesup1frac14I] dividedugravedugrave|ugrave iquest` agrave frac12Atilde5Acirc|Atilde5frac12UAEligwAtildeAacuteIgrave(AumlUEcircAtilde5frac12nOgraveregAumldcedilsup1Igravefrac14ordm|AtildeAgrave5frac12frac14dAEligwAEligwsup1siAgravefrac14ZAacutesup1Auml|raquo13aIuml x4~rv p4PlrRtcodPldpoundUodUp4Pl|BoqNtildeodshyiUrv pOtildeumltreg4tRod shy v Ew iquest uacute r4y~uacute4^Er Iuml

atildefrac14raquo~ordmdCcedilgsup1raquoAtilde|iquest9atilde]IumlEgravefrac14draquo~Ecircszlig0IumlampiexclAumldcedilraquoAtilde v Atilde5EcircAElig5Iuml w ] uacute_^J^ Uiquest ~vIacuteo|odUpaumltushyl not vipqo4v 4tu not ldP|m4oo4uml Iumlh=Icircifrac14dOumlIgravefrac14draquodegmacriexclampfrac14dfrac12frac12RIumlatildeAtildeAacuteIcircsup1frac14draquoiquestdIumlplusmn] uacute4^z^|ugrave iquestU` oAringIgrave(Atildecedilsup1Agravefrac14dfrac12Ufrac14frac12ordm|Aumldcedilsup1currenAacuteIcircIgrave(AEligWOgraveuAumldcedilOumlcedilAuml|Oumlifrac14ordmnfrac14ZAacutesup1raquoordmsup1raquoLAacuteAtildecedilwOgraveRfrac14Agrave5Atilde5AElig_]Jiexclampfrac14dIgrave(sup1frac12currenAacuteAuml|raquoEumldnfrac14dAgrave5AumldEacute~sup1

AtildeecircLAringifrac14Aacutesup1Aumldraquo~AElig-frac14draquoiEcircAgraveAuml|raquo~AEligwAtilde cedilAcirc|frac14ZAacutesup1Aumldraquo(frac12frac14CcedilgAElig_aIuml poundUodUp4Pl|]oqEgraveyen$t lv pv rRtcl| voshyv rRp~ iquest uacute4Uuacutey~uacute x uacute IumlatildeAtildeAacuteIcircsup1frac14draquoiquestAdIuml] uacute4^J^ xiquest kWvndvB]v r j v rregod IumlcurrenhEgravefrac14dIgraveNtildeEacutecedilsup1EcircordmdAtilderaquosup1AcircPIumlAfecedilAtilde5AEligwAElig5Iumlatildesup1Ecirc~Ecircsup1ecircUsup1Riquest4bIumliquest_yenNtildeIumlBfrac14Aring~Ocirc5sup1Gsup2AtildecedilAtilde|iquestagraveyIumlETHWfrac14draquoraquo~Atilde5raquoUEacute~frac14dAring~IgraveUacuteiquest5frac14draquo~EcircNtildeatildePIumlregPAring~Agrave4UgravenAtildecedil4] uacute_^J^ xUiquestE`currenagravegcedilAtildefrac149frac14draquoiEcirc$frac12Atilde5raquoordmdAacuteIcircyIgrave(sup1raquoEuml

sup1Igrave(sup1Ocirc5sup1raquoordm sup3iAumlCcedilgAEliggOgraveuAumldcedilAEligwIcircifrac14OumlPAtildeyAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo13aIuml xQ|||~pwl~ lnrRtcodoOtildex4shyl not vsectEgravepwo4v tu notordf v Ew iquest qEz+yqzqE Iumlyen=AtildeOcirc5Ocirc5sup1RiquestagraveyIumliquest5agrave0Iuml5ETHEgraveAEligfrac14dsup1Riquestfrac14draquo~Ecirc$agrave0Iuml Ucirc sup1frac12frac12AEligwUgraveLfrac34] uacute4^z^J^ iquestJ` agraveaeligAEligqAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12Ufrac14dOumlOumlcedilAumlnfrac14Agrave IcircampAacuteAumlgAEligwraquo~frac14dUgravenAtilde5AElig]OgraveuAumlcedilWEacutesup1Igrave(AumlUEcircfrac14dfrac12frac14draquoiEcircAacutewcedilsup1Igrave(AumlUEcirc~frac14frac12isup1Igravefrac14dordmdAtildecedilwfrac34aIumligraveraquo13] x4rv p ildrRtcodil|eodv pwv P4vyodx4shyl not vgsectpqo v tu not IumlAb$AumldEacutePAtildednfrac14dOuml~frac14draquoIumlreg]IcircUAringiquest]atilde]Iumlfrac14raquoiEcircaumlagrave0Iumleyen=Aringsup1frac12frac12AtildeJ] uacute_^J^ xUiquestpound` szlig9Atilde5ordmdsup1AumldraquotimesAgrave5AumldIgrave(OumlPAtildeAacutesup1currenAacutesup1Auml|raquo13]iAring~raquo~sup1currenOgraveYacutefrac34sup1raquoordmiexclAEligwraquo~frac14dUgravenAtilde5AElig5iquestPcedilAtildeordm|sup1Auml|raquoTordmdcedilAumlCcedilgsup1raquo~ordmiquestfrac14draquoiEcircZEgravefrac145frac34LAtilde5AEligacute|aacuteTHORNOgraveregAumldcedilIgraveFAring~frac12currenAacutesup1Eacuteifrac14raquoiEcirc sup1Igravefrac14ordm|AtildeTAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo13aIuml xQ|||micro~pwld lnrRtcodtimesosect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4v Icent iquesteJ q+yU^dugrave|ugrave Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfo

i $amp)(+-)013021+345627893lt=gt9A6CBfrac12OcircacuteIshyNT

frac12OcircacuteIltNTpara frac12frac34EMeJaumlQcYZYZjJUacuteQsY H [ ^QEgraveJLhZJUO H QcN H J H MeJordfXiacute[]fcfR[WQcO[Oslash^e[]ZaringNPQsOXiacutejOb H QR[]ONPfdaringocirc|adOuml times jOcircaacute uuml times a2atildeltszligaumlgtszliglOuml times j atilde auml

G QsObnJ H MJeumlYZJ H [SXIacuteNPfcfUacute^e[]ZaringNPQsOYMNPY Oe[ H N Y H hjb H jhZJ`[SXUPJUb H [PhQcNPfOtildeYZKNPbnJSefRJ H jYZ N`PJ H MeJeumlhZJ[]QR[]OYJUP[]fVUPJ H MehZ[]j[]M NrXqNSZaringQcfVm [SX H hNPOYYX[PhlZ N H QR[]OYa(|aagraveszlig jj emiddot iacuteaumlYlZOslash[[ H MaNPO^ centQ ~JUb H QVUPJS^ not [PhNOslashKEgrave[]QcO H $ aacute atildeshyszligaumlN eFWFJTOe[ H JSaring$ aagravej|aacutemiddot|aagraveszlig $ j WiexclQ H M |a s szlig $ jaacute $OumlcopytimesaagravejOcircaacutemiddot|aagraveszliglOumlutimesdj WiexclQ H M |a s szliglOumlcopytimesAjOcircaacuteAumlOumlutimes9J H jY H MeJUO^JOeJ H MeJordfUPJUfR[WbLQ H moUPJUb H [PhdY JUfs^kfrac12 YZjbM H MN H aringfrac12sup1aagraveszlig $ aagravejj|aacute aelig |aelig agrave aagraveszlig $ j YlaquoXiacuteNiharingNPY H MeJ bn[]ZOslashKj H N H QR[]O[SX H MeJ ^eJLhQU~N H QVUPJ QcYOslashbn[]ObnJLhOeJU^OeWFJNihZJQcOWVH JLhZJUY H JU^ QcO YYZaringNPfcfOtilde^JX[PhlZ N H QR[]OY^ J H MBjYJkWKNPO^ H MeJ H hNPOYX[PhZaringN H QR[]ONPbLbn[Ph^QcO[ H [hdY H [Ph^eJLh NmWfR[PhyacuteXiacute[PhlZtimesjfcNaring|aagraveszlig $ jpoundaacuteAElig|a s szlig $ j agrave aelig |aelig agrave a s szlig $ jaacute $ ragrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacute frac14 frac14 a s szlig $ j^ J H MeJUOQcO H hZ[W^jbnJ H MehZJLJgZ NPQcO^eJOQ H QR[]OYaringf^QMeJg0jfRJLhQcNPO^eJLhQU~N H QVUPJOtilde[SXocirc|adOuml times jordfaqQcO H MeJIacute^QRhZJUb H QR[]O[SXcedilfrac12jaring ocirc|adOumlcopytimesszlig_frac12jOcircaacutefcQZUcedil iacute ocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave admacrfj ^QMeJgZaringN H JLhQsNPfg^eJLhQVUiN H QVUPJOtilde[SXuumlStimesYa $ szliglOumlcopytimes)jaringsup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j|aacutefcQZUcedil iacute uumlStimesa $ ragrave3frac12ba $ jszliglOumlutimes agrave3frac12sup1a $ jj uuml]timesa $ szliglOumlcopytimesdjagrave admacr j^QMeJaumlYZMNiKEgraveJOtilde^eJLhQU~N H QVUPJOtilde[SXOcircuuml]timesa $ szliglOumlutimes)jaring

uumlnotraquotimes a $ szliglOumlcopytimesUcircszlig_frac12 jaacutefcQZUcedil iacute uumlStimesYa $ szliglOumlutimesragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave admacrS]j

uumlnyacutenthornnyumll13YSordmY_Fordfy

yenKbrvbarsect =4 acirc $ hq centUWQR[]jYZfVmSe-centmaJkBKNPO^QcO[ admacr jUacuteNPbLbn[Ph^QcOF[ H [hdY H [Phd^eJLhordfNmBfR[PhordfXiacute[PhlZtimesjfcNeWFJaumlMNUPJSaring sup1uumlStimesYa $ szliglOumlcopytimesUcircszlig_frac12 jaacuteAumluumlnotraquotimes a $ szliglOumlcopytimesszlig_frac12jhuumlStimesa $ szliglOumlcopytimes)j frac12sup1a $ j admacrj J H MeJUOabn[]ZOslashK-j H JZOslash[PhJaumlKhZJUbLQcYZJUfVm H MJ0jfRJLhQcNPO ^eJLhdQVU~N H QUPJauml[SXcopyocirc|adOumlcopytimesdj^ JMNUPJSaringocircOcircadOumlutimesaagravejj ocircOcircadOumlutimes)jagrave aacute fagrave = thorn yuml uuml times a $ aagravejszliglOuml times aagravejj $ uuml times a $ szliglOuml times j $ FH admacrSmacr]j5O H MJohY H QcO H J[PhdNPfdeltWFJZaringN`PJ H MeJU~NihdQcNicentfRJ bMNPO[PJ $ aagravejaacute $ agrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacuteethicirc7a2atildeshyszligaumlFjszligicirc cent a2atildeltszligaumlj eWMQcbdM[]QVUPJUYaring thorn yuml uuml]timesYa $ aagravejszliglOumlcopytimesYaagravejj $ aacute admacrS]j

5 uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlutimes agrave3frac12sup1a $ jjlt^eJ H ocirc a $ jlt $WMJLhZJocirc a $ jQcY H MeJgXiacute[]fcfR[WQcO[aringSNPbn[PcentQcNPOtZaringN H hdQkKaring

ocirc a $ jaacute oacute fcedilxagrave frac14 iacute oslashfrac14Uordm agrave frac14 iacute oslashfrac14 ugraveagrave frac14 iacute acircfrac14ordm fcedil agrave frac14 iacute acircfrac14 ugrave ocircNPO^ YZ[eFWNtildeJIacuteMNUPJSaring

^eJ H ocirc a $ jOcircaacute fUragravee^QVUKafrac34frac12sup1a $ jjragrave cent ^eJ H amacr frac12sup1a $ jjMJUOWNtildeJauml[Pcent H NPQcOOaring

fsQZcedil iacute ^eJ H ocirc a $ j fagrave aacute ^QVUKafrac34frac12sup1a $ jj admacr]zSjMJJBjN H QR[]OxadmacrSmacr]j H MeJUOcent=JUbn[]ZaringJUYaringocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave aacute fagrave middot uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jjlt 13raquo ocirc a $ jlt $ uumlStimesa $ szliglOumlcopytimesAj $ admacrSi]j JTbLNPO`YZjeKKEgrave[]YJ H MN H ^eJ H aocirc a $ jjfrac14aacute sfrac12 agrave frac12 $ ^ JZaringNm H MeJUO H N`PJ^eJ H aocirc a $ jjfrac34 s eNPO^ WNtildeJ ^eJUPJUfR[PK H MeJaJkWKhZJUYYZQR[]OadmacrSi]j NPYoX[]fsfR[WQsO[centmNP^^QcO[aringN H JLhZ QcO H MeJIacuteYZJUbn[]O^aQcO H J[PhNPfltWMQcfcJaumlYZjeKKhJUYZYZQcO[ H MeJtimesYZNSZOslashJ H JLhlZQcO H MJordfhY H QcO H J[PhNPfdaring ocirc|adOumlcopytimesYaagravejj ocirc|adOumlcopytimes)jagrave aacuteegraveOtildef1rOtilde cent admacrSh]j

uumlnyacutenthornnyumll13YSordmY_Fordf

s $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJSaring

Otilde aacute uuml]timesa $ ragrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave ^eJ H aocirc a $ jj $ ad s jOtilde cent aacute uuml]timesa $ szliglOumlcopytimesdj ^eJ H aocirc a $ jj fagrave $ adfj

9J H jY_ZaringN`PJordmagrave H JUO^ H [WNih^Y s ^curreniquestYZQcO[frac34admacrjiexclNPO^JOQ H Qc[]OYadmacr e macrS]jeWFJ[PJ H aringfcQZUcedil iacute Otilde aacute sup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j $

aacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ uuml times a $ szliglOuml times j frac12sup1a $ j $fcQZUcedil iacute Otilde cent aacute uuml]timesa $ szliglOumlcopytimesdj^QVUKafrac34frac12 j $

O^ Y[Xiacute[Ph H MeJgNtildejfRJLhQsNPO ^eJLhQVUiN H QVUPJSeWFJgO^Oaring ocirc|adOuml times szlig_frac12jumlaacuteyacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ amacrreguumlStimesYa $ szliglOumlcopytimes)j frac12sup1a $ j7 uuml]timesYa $ szliglOumlcopytimes)j^QVUKafrac34frac12sup1a $ jjj $aacute uumlnotraquotimes a $ szliglOuml times szlig_frac12j $ ^QVUKaduuml times frac12j $ ad j

MeJUO NiKKfVmWQcO[ H MJ hJLJUOWVAQRJZ NPOO H MeJL[PhZJZQcO ad jeWNtildeJ5ONPfcfmtimes[Pcent H NPQcOOaring ocirc|adOumlcopytimesszlig_frac12jOcircaacute uuml raquotimes a $ szliglOumlcopytimesUcircszlig_frac12j $ uacutefrac14 5 uuml]timesYafrac34frac12 eacuteAgraveiquestsup1AacuteAtildeAcircj THORN adS]jWMJLhZJ5eacuteAgraveiquestsup1AacuteAtildeAcircyQcY H MeJUacutejOQ H QcOOgraveWNih^ Oe[PhlZaringNPf H [ aelig OumlcopytimesUcirc^MeJ_NtildejfRJLhQcNPO ^eJLhQVUiN H QVUPJQcY(O[ H JU^ ocirc raquo aagravej(QcO H MeJaumlKNiKEgraveJLhNPO^ H MeJaumlYZMNiKEgraveJauml^eJLhQU~N H QVUPJyuuml raquotimes QcY(Oe[ H JU^ frac14 frac14 ^iquest acutemicrosup1cedilFLft not [PhyYQZOslashKfcQsbLQ H mSeWNtildeJ(bM[[]YJ H MeJcopyXiacute[]fcfR[WQcO[_U~NihQsN H QR[]OaeligQcO H MeJKhZ[B[SXaring$ aagravejaacute $ agrave3frac12sup1a $ j^MJiexclKh[[SXZaringNm NPfcYZ[IacutecentEgraveJiexcl^JUPJUfR[PKEgraveJU^WiexclQ H MZaring[PhZJ_[PJUOJLhNPfUiNihQcN H QR[]OYFYjbM NPYaring $ aagravejaacuteAacuteAgravea $ szligYagravejWQ H MAcircAgrave`NOslashYYZOslash[B[ H MXiacutejOb H QR[]ONPO^AcircAgravea szligYagravejcentQ ~5JUb H QVUPJS^

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ ffrac12OcircacuteIshyNT AcircE J(MNUPJ H [Otildebn[]ZOslashK-j H J H MJNtilde^QEgraveJLhZJUO HH JLhZaringY9[SXQa macr]j9QsOauml[Ph^eJLh H [Uacute[Pcent H NPQcO H MeJ

JUP[]fcj H QR[]OJBjN H QR[]O[SX H MeJ NPb H QUPJ bn[]O H []jehX[Ph H MeJ ^JUYZbnhQRK H [PhdYaumlcentNPYJU^Oacute[]OH MeJ(bn[U~NihQsNPObnJ ZaringN H hQVktimes^eJ H JLhlZ QcONPO H a2Ograveh]j^OgraveMeJ(bn[]ZOslashKj H N H QR[]OaringQcYampKEgraveJLhYXiacute[PhlZOslashJU^Xiacute[Ph H MeJIacute^eJUYZbnhQRK H [Ph_uuml thorn timesOslash yuml ^ q centUWQR[]jYZfmSeN YZQZ QcfcNihbn[]ZOslashKj H N H QR[]OabLNPOacent=JIacute^e[]OeJXiacute[PhOcircuuml thorn UgraveUcircUacuteUuml yuml ^ JiexclbLNPOaeligJkBKhJUYZYOcircuuml thorn timesOslash yuml NPYyNUacutebn[]ZTcent-QcON H QR[]Oaelig[SXgtXiacutejOb H QR[]OYamp^eJLKEgraveJUO^QcOF[[]O H MJOtildehZJ[]QR[]OwOuml timesOslash aring

uumlgtthorn times Oslash yuml a2atildeltszligaumlgtszligYagravejaacute`Ograveoacute m thorn timesOslash yumlaIgraveagrave thorn timesOslash yumlAtilde j cent ocirc adjWMJLhZJordmaacuteAuml85eWiexclQ H MAring8 H MeJordfXqjOb H Qc[]O QcO H h[B^jbnJU^ QcOpounda2Ograveh]je-NPO^aringm thorn timesOslash yuml aacute agrave thorn timesOslash yuml agrave thorn timesOslash yumlcent agrave thorn timesOslash yuml agrave thorn timesOslash yumlAElig agrave thorn times Oslash yumlCcedil agrave thorn timesOslash yumlEgrave agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlEgrave j cent agrave thorn times Oslash yumlcent aIgraveagrave thorn timesOslash yumlCcedil j cent agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlAElig j centWQ H MOaring EFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFH

agrave thorn timesOslash yuml aacute w$ thorn yuml aOtilde S times Oslash j cent atilde aumlagrave thorn timesOslash yumlcent aacute w$ thorn yuml aOtildeOgravecent Scenttimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yuml aacute w$ thorn yuml aOtildeS Stimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yumlAElig aacute w$ thorn yuml aOtilde S times Oslash jaOtildeOgravecent ScenttimesOslash j atilde aumlagrave thorn timesOslash yumlCcedil aacute w$ thorn yuml aOtilde S times Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlEgrave aacute w$ thorn yuml aOtilde cent S centtimes Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlAtilde aacute w$ thorn yuml atilde auml O^ Y[ H MJordfXiacutejOb H QR[]OY aelig thorn timesOslash yumlauml MNUPJ H MeJgXiacute[]fcfR[WiexclQcO[aeligJkBKhZJUYZYZQR[]OYaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

aelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlcent aacute aOtilde cent S centtimesOslash j centaelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlAElig aacute aOtilde S timesOslash jaOtilde cent S centtimesOslash jaelig thorn times Oslash yumlCcedil aacute aOtilde S timesOslash jaOtilde S timesOslash jaelig thorn times Oslash yumlEgrave aacute aOtildeOgravecent ScenttimesOslash jaOtilde13 StimesOslash jaelig thorn times Oslash yumlAtilde aacutemiddotf

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBnot h[]Z H MeJUYJaumlJkWKhZJUYYZQR[]OYeWFJOtildeJUNPYZQcfm ^eJU^jbnJ H MN H aring

$ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde aumlregaacute sEacutefrac12poundEcirc iuml

J H MeJUO MNUPJ H [Tbn[]ZaringKj H J H MeJ H JLhlZaringY eacute thorn times Oslash yumlauml XiacutehZ[]Z H MeJJkWKhZJUYZYQR[]OYamp[SXagrave thorn timesOslash yumlauml eWMQcbM fRJUNP^Y H [aringEFFFFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFFFFH

eacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideoslash aacute w$ thorn yuml uacute ouml $ordfdivideacirc uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIgrave yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H a timesOslash jjeacute thorn timesOslash yumlcent aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideacirc

aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIcirc yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideEuml aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideacirc thorn thorn uacute ouml $_divideIuml yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yumlAElig aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIuml aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideEuml uacute ouml $ordfdivideIuml thorn uacute ouml $_divideIcirc uacute ouml $ordfdivideIgrave yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlCcedil aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIcirc aacute w$ thorn yuml cent thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideacirc uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlEgrave aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIgrave aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideoslash uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlAtilde aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIacute aacute w$ thorn yuml thorn +ETH ouml $_dividethorn uacute ouml $ordfdivideIacute yuml Iuml 8 raquo aq^J H a timesOslash jj

O^centmJkWKhZJUYZYZQsO[ H MeJbn[UiNihQcNPObnJZaringN H hQVkpoundWQ H M H MJregXqjOb H QR[]OYagrave thorn timesOslash yumlauml NPYXiacute[]fcfR[WQcO[aring

timesOslashlaquoaacute 1NtildeNtildeNtildeNtildeNtildeNtilde3uacute ouml $ordfdivideoslashuacute ouml $ordfdivideIacute uacute ouml $_divideIumluacute ouml $_divideIacute uacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIumluacute ouml $ordfdivideIacute uacute ouml $_divideacircuacute ouml $_divideIacute uacute ouml $ordfdivideIgraveuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacute uacute ouml $_divideIgraveuacute ouml $_divideIacute uacute ouml $ordfdivideEumluacute ouml $ordfdivideIacute

6OgraveOgraveOgraveOgraveOgraveOgrave7 J H MJUO^eJU^jbnJSaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

eacute thorn times Oslash yuml aacute a fj thorn yuml ^eJ H aDC Ptimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlcent aacute a fj thorn centcent yuml ^eJ H aDC centcenttimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yuml aacute a fj thorn curren yuml ^eJ H aDC 4times Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlAElig aacute a fj thorn cent yuml ^eJ H aDC centtimes Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlCcedil aacute a fj thorn curren yuml ^eJ H aDC times Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlEgrave aacute a fj thorn centcurren yuml ^eJ H aDCcent4times Oslash j48 raquo aq^eJ H a timesOslash jjeacute thorn times Oslash yumlAtilde aacute amp^eJ H a timesOslash j48 raquo aq^eJ H a timesOslash jj

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ SWMJLhZJC EBtimesOslash QcY H MeJgZaringN H hdQk ^eJU^jbnJU^Xh[]ZOacutetimesOslasharingcentm YZjeKKhZJUYZYZQcOF[ H MeJyuuml UumlON hZ[WNPO^ H MJ I UumlON bn[]fcjFZaringOO^]MeJbn[]ZOslashKj H N H Qc[]OordmX[Ph H MeJ^eJUYZbnhdQRK H [Ph|uuml thorn UgraveUcircUacuteUuml yuml QcYyYQZaringQcfcNihNPO^WFJ H MeJUOOslashMNUPJNPfcf H MeJ(JkWKhZJUYZYZQc[]OY H [aumlbn[]ZOslashKj H J H MeJJUP[]fcj H QR[]OaeligJjN H QR[]OXiacutehZ[]Z H MeJg[PJUOJLhNPfOXiacute[PhlZIacutejfcNta macr]j^gtMQcYcopy[]QVUPJUY H MeJTJUP[]fcj H QR[]O JBjN H QR[]Osup1admacr s j^

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBΩ out

Objects

Γ

inΩ

inΩ

Background Part

-t not Upv copy ETHEgraveIcircAtildeampAacuteiacuteCcedil=AumlFcedilAtilde5ordm|sup1Aumldraquo~AElig9AumldOgravefrac14raquoUacutesup1Igravefrac14dordm|Atilde

Ω

Ω out (τ)Ω

(τ)in

N

Γ(τ)

Ω

N

v

w

N

-t not Upv ETHEgraveIcircAtildeyEcircAumldIgravefrac14dsup1raquo~AEliggfrac14raquoiEcircAacuteIcircAtilde$AcircnAtilde5AgraveAacuteAumlcedilAEliggsup1raquoUAcircnAumldfrac12AcircnAtildeEcircsup1raquoiexclAacuteIcirc~Atilde$EcircAtildecedilsup1Acirc|frac14ZAacutesup1Aumldraquo

uumlnyacutenthornnyumll13YSordmY_F2ordf

yenKbrvbarsect =4 acirc $ Smacr

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 Atilde|IumligraveAacuteAtildecedil4frac14ZAacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvyzU eacuteWsup1ordm|AringcedilAtilde5AEligfrac14iquest Eacuteiquest AgraveJ]iUumlAcircnAumldfrac12AringAacutesup1Auml|raquoOtildeAumlOgraveeAacuteIcirc~Atildeyfrac14dAgrave Aacutesup1Acirc|Atilde0AgraveAuml|raquoLAacuteAuml|AringcedilIgravefrac14raquoifrac14ordm|AtildeEcircUacuteEacuteLfrac34AacuteIcirc~AtildefTHORN$Uuml v qzqwsup1raquo~Agrave5frac12AringiEcircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquoifrac14frac12ampAacuteAtildecedilIgrave(AElig5IumlgeacuteWsup1ordm|AringcedilAtilde5AEligOtildeEcirc]iquest Atildediquest Ograve] g sup1AEligwAringifrac14frac12sup1Ocirc5frac14Aacutesup1Auml|raquo`AumldOgrave0AacuteIcirc~AtildeTAgrave5AumldcedilwcedilAtilde5AEligwOumlPAumldraquoiEcircsup1raquoordmAcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 OgraveuAring~raquoAgraveAacutesup1Auml|raquosup1raquo~Agrave5frac12Aring~Ecircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquo~frac14dfrac12ampAacuteAtildecedilIgrave(AEligraquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirc EacutePAtildeAacuteiacuteCcedil=Atilde5Atilde5raquo ugrave frac14draquoiEcirc divide JUiquestAEligwAring~Agrave4IcircTAacuteIcirc~frac14Aacute$AacuteIcircAtilderaquo~Atilde5ordm|frac14Aacutesup1AcircnAtildeAcircdfrac14dfrac12AringAtilde5AElig0frac14cedilAtildefrac12AumlCcedilEgraveAtildecedilyAacuteIcirc~frac14draquo uacutedivide Uacutefrac14raquoiEcircaumlAacuteIcirc~AtildeOumlPAumldAEligwsup1Aacutesup1AcircnAtilde(Aumldraquo~Atilde5AEligyfrac14ZcedilAtilde(Icirc~sup1ordm|IcircAtildecedilAacuteIcircifrac14raquo uacuteZdivide Iuml

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

Ecirc]Iumligraveraquo~sup1currenAacutesup1frac14dfrac12BAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 Atilde|IumligraveAacuteAtilde cedil4frac14Aacutesup1Auml|raquo ugravedugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not Upv ucirc eacuteWsup1ordmdAringcedilAtilde5AEligtimesfrac14iquest Eacuteiquest AgraveJ]ampUumlAcirc|Auml|frac12AringAacutesup1Auml|raquoAumlOgrave(AacuteIcirc~Atildearingfrac14AgraveAacutesup1AcircnAtildeOslashAgrave5Auml|raquoLAacuteAumldAringcedilIacuteIgravefrac14draquoifrac14ordm|AtildeEcirc`EacuteUfrac34AacuteIcircAtildeOcircfTHORN$Uumlv q w iquestiexclCcedilgsup1currenAacuteIcirc~AumldAringAacuteAacuteIcirc~Atildefrac14dEcirc~Ecircsup1Aacutesup1Aumldraquoifrac14dfrac12TAacuteAtildecedilIgrave(AElig5IumliexcleacuteWsup1ordm|AringcedilAtildeAElig Ecirc]iquest Atildediquest Ograve] g sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo AumlOgraveaeligAacuteIcirc~AtildeAgraveAumldcedilwcedilAtildeEumlAEligwOumlPAuml|raquo~Ecircsup1raquo~ordm AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 OgraveregAring~raquo~Agrave Aacutesup1AumldraquoeumlCcedilgsup1currenAacuteIcirc~Auml|AringAacuteIacuteAacuteIcircAtilde frac14|Ecirc~Ecircsup1currenAacutesup1Aumldraquoifrac14frac12FAacuteAtildecedilIgrave(AElig v raquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirceumlAEligwAring~Agrave4Icirc AacuteIcirc~frac14AacuteIgravefrac14icirc vOOtilde wpOumldivide z w Iuml

uumlnyacutenthornnyumll13YSordmY_F2

S $amp)(+-)013021+345627893lt=gt9A6CB

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIumligravesAacuteAtildecedil4frac14Aacutesup1Aumldraquogt ugrave|ugrave AgravedIumlieacuteWsup1raquoifrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12Acirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 AtildedIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIumlieacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvtimesLg sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo(AumldOgravePAacuteIcirc~AtildeAtildeAcircnAuml|frac12AringAacutesup1AumldraquoAumldOgravePAacuteIcircAtildeEgraveAgrave5Auml|raquoLAacuteAumldAringcedil-frac14draquo~EcircNtildeAacuteIcirc~AtildeEgraveAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 v Ccedilgsup1AacuteIcircAuml|AringAacuteAacuteIcircAtildeEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircFAacuteAtilde cedilIgrave w OgraveregAumldcedilEgraveAacuteIcircAtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoAumlOgraveAacuteIcircAtilde9Ograveufrac14dAgrave5AtildeAring~AEligwsup1raquo~ordmyAacuteIcirc~Atilde9Agrave5AumlZAcirc|frac14Zcedilsup1frac14draquo~AgraveAtildeIgravefrac14Aacutewcedilsup1currenicirc]Iuml

frac14Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcircnAtilde EacuteIumligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 v AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde w Agrave|Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacutefrac34 v Acircdfrac14cedilsup1frac14draquoAgrave5Atilde w-t not Upv h=AumldIgrave(Oumlifrac14cedilsup1AEligwAumldraquoOtildeAumldOgraveAacuteIcirc~Atilde$sup1raquo~sup1currenAacutesup1frac14dfrac12eAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34iexclAgrave5Auml|Igrave(OumlAringAacuteAtildeEcircAringAEligwsup1raquo~ordmAacuteIcirc~Atilde$AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde0Igravefrac14Aacutewcedilsup1currenicircv iordmdAringcedilAtildeFEacute w AacuteAumliexclAacuteIcircAtildeAuml|raquoAtildeFAgrave5AumldIgrave(Ouml~AringAacuteAtildeEcircTAringAEligwsup1raquo~ordmiexclAacuteIcircAtildeFAcircdfrac14cedilsup1frac14draquoAgrave5Atilde v ~ordm|AringcedilAtildeFAgrave w OgraveregcedilAumldIgrave AacuteIcirc~AtildeNtildeAEligfrac14dIgrave(Atildesup1raquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcirc|Atilde v iordmdAringcedilAtilde$frac14 w Iuml

uumlnyacutenthornnyumll13YSordmY_F2_a

yenKbrvbarsect =4 acirc $ ]z

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv Oslash| THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5AtildeccediliacuteAtildecedilsup1UgraveUegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_o

Si $amp)(+-)013021+345627893lt=gt9A6CB

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv ordf THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5Atildeccedilqfrac14dUgraveUsup1currenfrac34LAumldegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_y

RR-0114-SJEHANpdf
  • wwwi3sunicefr
    • httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf
Page 14: LABORATOIRE INFORMATIQUE, SIGNAUX ET SYSTEMES DE …mh/RR/2001/liste-2001.pdf · 2002. 6. 27. · [Dir01] DIRAT L. “Outils pour des Mathématiques Interactives et Distribuées”

$amp)(+-)013021+345627893lt=gt9A6CBbnhQ H JLhQR[]O NPO^ QsY bdMe[]YJUO Y[ H MN H H MeJ YZ[]fcj H QR[]OicircYacuteaUcirciumlVszligYagravej bn[]OUPJLhY[PJUY H [ H MeJ[Pcent~JUb H centEgrave[]jO^NihYmSeYacuteaUcirciumlethjeNPY_agraveregntildeoacuteograveicirc^5ObLfcNPYYZQcbLNPfcentEgrave[]jO^NihYmVcent-NPYJU^ZOslashJ H Me[W^Ya)v(NPYJUfcfRJUY(J H NPfd^VeshyfhSh]zg_`NPfcfcNP^QJ H NPfd^VelaquofhShSmacr]je H MeJsup1UPJUfc[BbLQ H m XqjOb H QR[]OHccedil QsY`^eJLhdQVUPJU^XiacutehZ[]ZCNPOJUOeJLhY[Smacircocirc^eJLKEgraveJUO^QcO[T[]O H MeJOtildecentEgrave[]jO^NihlmYacuteOcircaring

ocircOgraveotilde UgraveUacute OslashoumlYdivideloslashugrave aYacuteQj|aacute uacuteucircyacuteuumlgtthorn otilde)yuml THORN a jWMJLhZJ_uuml thorn otilde)yuml QcYNtildeNyXqjOb H Qc[]O ^eJUYZbnhdQRcentQcO[ H MeJiexclcentEgrave[]jO^NihYmtimes[SX H MeJiexcl[Pcent~JUb H ^vNPYZJUfcfRJUYJ H NPf_a)vNPYJUfsfRJUYaumlJ H NPfd^VefhSh]zSjIacutebM[[]YJ H MeJregXqjOb H Qc[]Obuuml thorn otilde)yuml aacuteKa ordmOtilde jyWMeJLhZJtaring s szliggograve8ntilde Otilde 13 QcYiexclN Y H hdQcb H fVm ^eJUbnhZJUNPYZQsO[XqjOb H Qc[]OaY[ H MN H a]juntilde s NPYgntildeoacuteograveicirc^SMeJFbn[]ZOslashKj H N H Qc[]OIacute[SX H MeJUPJUfc[BbLQ H mccedilicircXiacutehZ[]Z H MJFbnhQ H JLhQR[]Oa j9QsYOe[WWFJUfcfO`WOe[WiexclOsup1a)vNPYJUfsfRJUYJ H NPfd^VeltfhSh]zSjiexclNPO^`fRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[OslashJUP[]fcj H QR[]OJBjN H QR[]OOaring aelig Yacuteaelig agrave aacuteFuuml thorn otilde)yuml uuml thorn otilde)yuml eacute13eacute ad]jWMJLhZJ QcY H MeJaumlbLjehYUiN H jehZJOtilde[SXYacuteaagravej^iexcl[WFJUPJLhecent=[ H MaringhZJ[]QR[]OYOcircOumlcopytimesOslashtimesNPO^Ouml UgraveUcircUacuteUuml ZaringNmtimesMNUPJiexcl^QV=JLhZJUO H KhZ[PKEgraveJLh H QRJUYamp[SXH Jk H jehZJSeiMe[]ZOslash[S[PJUOeJUQ H mtimes[PhZaring[ H QR[]O H MN H bLNPOOe[ H cent=JQcObLfsj^eJU^aumlQcO H MeJXiacutejOb H QR[]Ouuml thorn otilde)yuml ^ G [ H MeJoZaringNPQcOOacuteKjehZKEgrave[]YJaring[SX(hJ[]QR[]OWVcentNPYJU^7NiKKh[]NPbMeJUYaeligQcY H [ QcO H hZ[W^jbnJYZjbM Nx[]fR[PcentNPfUacuteQcOXiacute[PhlZaringN H QR[]O QcO H MeJ UPJUfR[WbLQ H m XiacutejOb H QR[]Oicircccedil QcO NP^^Q H QR[]O H [H MeJeumlfR[WbLNPfiexclQsOX[PhZaringN H QR[]OKhZ[UWQc^eJU^ centm cent=[]jO^NihYmVcentNPYJU^ H JLhlZaringY^copyMeJZaringNPQcOBjeJUY H QR[]OeiQsOIacute[Phd^eJLh H [~jY H QVX2m H MeJQcO H hZ[W^jb H QR[]OIacute[SX H MJUYJ(hZJ[]QR[]O H JLhlZ Ye]QcY H [^eJLhdQVUPJ H MeJuUPJUfR[WbLQ H mlaquoXqjOb H QR[]OlaquoXiacutehZ[]ZNPOOslashJUOeJLhl[SmS^Ograve9[IacuteYJ H Nordf[PJUOeJLhNPfFXhNSZaringJWNtilde[PhY`NPO^ H [Oslashbn[]ZOslashKNihZJ H MeJUacute^QEgraveJLhZJUO H NiKKhZ[]NPbMeJUYFKh[PK=[]YZJU^ QcO H MeJUacutefcQ H JLhN H jhZJSeWFJOe[W QcO H hZ[W^jbnJ Nw[PJUOeJLhNPfNtildebnhQ H JLhQR[]ObXh[]ZigraveWMQsbM H MeJUPJUfR[WbLQ H mpoundZaringN[]OQ H j^eJZaringNmcent=JOtilde^eJLhdQVUPJU^Oaring

ocircOcircadOumlutimes OslashgtszliglOuml UgraveUcircUacuteUuml szligYYacuteQjbaacute uumlgtthorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszliglOuml UgraveUcircUacuteUuml j atilde auml $ uumlgtthorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashFj atilde aumlamp uacuteucirc uumlgtthorn otilde)yuml a2atildeltszligaumlj THORN a2jWMJLhZJyuuml thorn UgraveUcircUacuteUuml yuml QcYONSZaringJU^ H MeJwn^JUYZbnhQRK H [PhpOslash[SX H MeJaumlcentNPbl`[PhZ[]jO^ hZJ[]QR[]Oegtuuml thorn timesOslash yumlH MeJsup1n^eJUYZbnhQRK H [Phlp[SX H MeJaring[Pcent~JUb H hZJ[]Qc[]ONPO^buuml thorn otilde)yuml H MeJsup1n^eJUYZbnhQRK H [Phlp [SX H MeJbn[]O H []jeh^MJOslashhZJ[]QR[]O^eJUYZbnhdQRK H [PhYordfZaringNm`centEgraveJlaquo[]fR[PcentNPfsfVm`N HH NPbdMeJU^ H [ H MJUQRhOtildehZJnVYKEgraveJUb H QVUPJOslashhJ[]QR[]OYeOumlcopytimesOslasha[PhOuml UgraveUcircUacuteUuml e9NPO^Y[^eJLKEgraveJUO^euml[]O H MeJZ aqQVXFY[e H MeJmNihZJbLNPfcfcJU^pihJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhYYpOgravej^ H MNiKK=JUOYshyWMJUOtimesY H N H QcY H QcbLNPfXiacuteJUN~VH jehJUYg[SXNhJ[]QR[]OTfcQ`PJSeXiacute[Ph9JkeNSZOslashKfRJSe H MeJZOslashJUNPOIacute[Ph H MJ|UiNihQcNPObnJSe~NihZJNtildeYJUfcJUb H JU^NPY(hJ[]QR[]O^eJUYZbnhdQRK H [PhY^MeJ`K-jehZKEgrave[]YJ [SXIacuteNPfcfhZJ[]QR[]OeVcentNPYJU^ NPb H QVUPJOacutebn[]O H []jehYwZOslashJ H Me[W^YQcY H MeJUOH [poundZaringN`PJ H MeJaNPb H QVUPJabn[]O H []jeh JUP[]fVUPJ H [WNih^Y NeumlKNih H Q H Qc[]O[SX H MeJ`QZaringN[PJSeadOumluUgraveUcircUacuteUumlszliglOuml timesOslash szligYYacuteQje H MN H ZaringQcOQZ QVcurrenLJUY H MeJTbnhQ H JLhdQR[]Opounda2j^

uumlnyacute|thornLyuml13 (

yenKbrvbarsect =4 acirc $ macr ^ ^)+ltIgraveFEgrave-+13IgraveigraveEacute10Igrave22IcircETH313Oacute4 EgraveOIgrave54EacuteshyOacute76EcircgtNtildeltIcircIgrave8 Iacute_IgraveETH39ltEacute8QIcircshyIcirclt2Oacute4Ntilde=KETH3gt+ltIgrave=EacuteshyOacuteshyETHEacute1EgraveIcirc MQcfRJiexclNPONPfVmWYZQcO[aumlhJ[]QR[]OWVcentNPYJU^ NPb H QVUPJUacutebn[]O H []jhYNiKKhZ[]NPbdMeJUYeWNtildeJ5ZaringNm bn[]OWVYZQs^eJLh H MehZJLJyZaringNPQsO QZOslashKEgrave[Ph H NPO H K=[]QsO H Yaring MN H NihJ H MeJT^QV=JLhZJUO H ^eJUYZbnhdQRK H [PhY(jYZJU^BA iexcl[WQcY^eJLhdQVUPJU^ H MeJaumlJUP[]fcj H QR[]O JBjN H QR[]OXiacutehZ[]Z H MeJaumlbnhdQ H JLhQR[]OCA iexcl[WQcYQZaringKfRJZOslashJUO H JU^ H MeJaumlNPb H QVUPJtimesbn[]O H []jehANtildeQR[]OeJLJLhcopyWF[PhY`BY(MNUPJaumlcentEgraveJLJUO KhZ[PKEgrave[]YJU^ centma)vF[]MeJUOJ H NPfd^VefhShSgt[]OXqNih^OefhShj^5ONPOJUNihdfVmpoundWF[PhY`gte|vF[]MJUOJ H NPfd^ua)vF[]MeJUO7J H NPfd^VeufhShS]jIacuteKhZJUYZJUO H NYZjhYXiacuteNPbnJ$hJUbn[]OY H hjb H Qc[]OgZOslashJ H Me[W^TjYQcO[hZJ[]QR[]OWVcent-NPYJU^aumlNPb H QVUPJFbn[]O H []jehdY^MJmbn[]ZOslashK-j H J H MeJUPJUfR[WbLQ H mpoundUPJUb H [Phaelig[SXNPO7NPb H QVUPJ bn[]O H []jhXiacutehZ[]Z H MeJZaringQsOQZaringQVcurrenUN~VH QR[]O[SXampNOslashbnhQ H JLhdQR[]OQcObLfcj^QcO[aumlhZJ[]Qc[]OWVcentNPYJU^ H JLhZaringY^ Oe[ H MeJLh(KQR[]OJLJLhuWNtilde[PhY`MNPYaumlcent=JLJUOK=JLhlX[PhlZaringJU^QcO a[]OXqNih^OeOcircfhShj^iexclJ NPYZYJUYZYZJUY H MN HTH MeJUPJUfR[WbLQ H mXqjOb H QR[]O YZMe[]jfc^aringcent=JKhZ[PKEgrave[Ph H QR[]ONPf H [ H MeJUacute^QEgraveJLhZJUObnJ[SXgY H N H QcY H QcbLNPfXJUN H jehJUYaringccedilaacute uuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml eOgraveWMJLhZJ_uuml thorn timesOslash yuml QsY0NaumlY H N H QsY H QcbLNPfKZOslash[B^JUfe[SX H MeJ[Pcent~JUb H hJ[]QR[]ONPO^tuuml thorn UgraveUcircUacuteUuml yuml N Y H N H QcY H QcbLNPfshyZOslash[B^JUfEgrave[SX H MJaumlcentNPbY`[PhZ[]jO^ hZJ[]QR[]OO^

G []ZOslashJaumlNiKKhZ[]NPbdMeJUY(Kh[PK=[]YZJ H [ bn[]ZOslashKj H J H MeJOtildeJUP[]fsj H QR[]OJBjN H QR[]O [SX H MeJNPb H QVUPJtimesbn[]O H []jhUacutejYZQcO[ H MeJ hZJLJUOWVAiexclQRJZaringNPOO H MeJL[PhZJZ NPO^wNtildejfRJLhVAN[PhNPO[PJJBjN H QR[]OY^OEgraveMBjeumlNPO^frac340jQcfcfcJoa)EgraveMBjNPO^frac340jQcfcfcJSeltfhShS]jKhJUYJUO H NY H N H QcY H QcbLNPfXiacutehNSZOslashJWF[PhY`poundXiacute[PhOslashQZaringN[PJYJ[]ZOslashJUO H N H QR[]OjYZQsO[aNPONPfV[P[PhQ H MZbLNPfsfRJU^n5hJ[]QR[]Obn[]ZOslashKEgraveJ H Q H Qc[]OFp^MeJm^eJLhQVUPJ H MeJeumlNPb H QVUPJbn[]O H []jehJUP[]fcj H QR[]O JBjN H QR[]O centmZaringQsOQZaringQVcurrenUQsO[aringNo[PJUOeJLhNPfcQVcurrenLJU^XNmPJUYDi_wiexcl bnhQ H JLhdQR[]O`QsOYKQRhJU^centm H MeJaring_`jFZaeligVXiacute[Ph^OacuteNPO^ G MNPMJUOeJLhY[Smicircaw_ajFZX[Ph^7NPO^ G MNPMOefhSiSh]j^OcircMeJmKhZ[PKEgrave[]YJ H MeJXiacute[]fcfR[WQcO[aelig^eJUYZbnhQcK H [PhYcopyXiacute[Ph H MeJaumlYJ[]ZaringJUO H N H QR[]O`[SXampY H QcfcfQZ N[PJUYaringEFG FH uuml thorn UgraveUcircUacuteUuml yuml aacute JILK NMregaOtildeKa2atildeshyszligaumlFjPORQ UgraveUcircUacuteUuml juuml thorn timesOslash yuml aacute JILK NMregaOtildeKa2atildeshyszligaumlFjPORQtimesOslashjuuml thorn otilde)yuml aacuteTS admacr]jWMJLhZJUMrega)j9QcY9NiexclKhZ[Pcent-NicentQcfcQ H m^JUOYZQ H m5XqjOb H Qc[]OOeQshytimesNihZJ H MJNtildeKNihdNSZOslashJ H JLhY[SX H MeJ^QsY H hQRcentj H QR[]OX[Ph H MeJaelighZJ[]Qc[]OBVNPO^CSQcYUacuteN KEgrave[]YZQ H QUPJIacutebn[]OY H NPO H ^ not [PhaumlQcfsfcjY H hN~VH QR[]OYe H MeJNPj H Me[PhdYybn[]OYZQc^JLh NPjYZYZQsNPOOslash^QcY H hQccentj H QR[]OYbMNihdNPb H JLhQVcurrenLJU^ centm H WF[KNihdNSZOslashJ H JLhYe H MeJZaringJUNPOIacuteNPO^ H MeJ|UiNihQcNPObnJS^ q ObnJ H MeJWQtimeskWJU^Oe H MeJ0JUP[]fcj H QR[]OJBjN H QR[]O[SXNPONPb H QVUPJ bn[]O H []jhaeligQsYIacutebn[]ZOslashK-j H JU^NPO^^QchZJUb H fVm^eJLhQUPJU^poundXiacutehZ[]ZH MeJbnhdQ H JLhQR[]OO^SMJbLfcNPYZYZQcbLNPfe^JLhQVUiN H QVUPJ([SX H MJ(cent=[]jO^NihYmVcentNPYJU^ H JLhlZ fRJUNP^YH [ H MeJtNtildejbLfcQc^QcNPOpound[PJL[]ZOslashJ H hdQcbMeJUN HYX [Wg^OcircMeJ ^eJLhdQVU~N H QUPJ [SXiexclhZJ[]QR[]OWVcent-NPYJU^H JLhlZ Y QcY H MJUOKEgraveJLhYXiacute[PhlZOslashJU^jYQcO[ H MeJ hZJLJUOWVAQcJZaringNPOO H MeJL[PhJZ NPO^ H MeJNtildejfRJLhVAN[PhNPO[PJaJBjN H QR[]OY^5O^eJLJU^e H MeJeumlbn[]ZOslashKj H N H Qc[]O [SX H MeJaJUP[]fcj H QR[]OJBjN H QR[]OQsYK=JLhlX[PhlZaringJU^ QcO H MehZJLJyZ NPQcO Y H JLKYaringf^Q9hNPOYX[PhZaringN H QR[]Oeuml[SX^e[]ZaringNPQcOQcO H J[PhNPfcYTQcO H [ centEgrave[]jO^NihYmaQcO H J[PhNPfcYTjYZQcO[

H MeJ hZJLJUOeVAQRJZaringNPOO H MeJL[PhZJZ^

uumlnyacute|thornLyuml13

$amp)(+-)013021+345627893lt=gt9A6CB ^vF[]ZOslashKj H N H Qc[]O [SX H MJy0jfcJLhVA9N[PhNPOF[PJOtildeJjN H Qc[]OY^ltO H hZ[W^jb H QR[]O[SXiexclNeuml^mWONSZaringQcbLNPfFYZbdMeJZOslashJ QcO H MeJ0jfRJLhZVA9N[PhNPO[PJ JBjN~V

H QR[]OYQcO [Ph^eJLh H [aeligbn[]ZaringKj H J H MeJ5UPJUfR[BbLQ H mregUPJUb H [Ph[SX H MeJOtildeNPb H QVUPJOtildebn[]O H []jh^MJ UPJUfR[WbLQ H mXiacutejOb H QR[]OoccedilQsY H MJUO bn[]ZaringKj H JU^NPO^Q H fcJUNP^Y H [ H MJ5Xiacute[]fcfR[WQcO[JUP[]fcj H QR[]OJjN H QR[]OOaring aelig Yacuteaelig agrave aacuteacircaduuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml S jeacute ad]jWMJLhZJ QsY H MeJ bLjehlU~N H jehJaring[SXuYacuteaagravej^5O[Ph^eJLh H [aQZOslashK-fRJZOslashJUO HOtildeH MQcYordf|iexcl eNN[PhNPO[]QcNPOXiacute[PhlZtimesjfcN H QR[]O QsY(jYJU^O^JUbnJUO H fmSeampNihN[]Qc[]YNPO^frac34JLhQcbdMeJaNihdN[]QR[]YOtildeNPO^iexclJLhdQcbMeJSefhShSh]jegMNUPJKh[PK=[]YZJU^ NPOJk H JUOYZQc[]O[SX H MeJordfWF[PhY` [SXOcircEgraveMBjNPO^o0jQcfcfcJcentm QZOslashKhZ[UWQcO[ H MeJ^eJUYbnhQRK H [Phaelig[SX H MJbn[]O H []jeh QcO7[Ph^eJLh H [QcObn[PhK=[PhdN H J H MJQCZaringN[PJ[PhNP^QRJUO HNPYiexclQcO[PJL[W^eJUYZQcbIacuteNPb H QVUPJtimesbn[]O H []jehY^gtMeJTJUP[]fcj H QR[]OaJjN H Qc[]OaQcYiexclQZOslashKfRJZaringJUO H JU^jYQcO[ H MeJ(fRJUPJUfBYJ H ZOslashJ H Me[W^aeligQcO H hZ[B^jbnJU^aumlcentm q YZMJLhNPO^ G J H MQcNPOoa q YZMeJLh$NPO^G J H MQcNPOOeltfhSiSi_aNPfcfsNP^Q9J H NPfd^VefhShSmacr G J H MQcNPOOeltfhShS]j^ UPJLhYm QcO H JLhJUY H QcO[KNih H [SX H MQsYyWF[PhY`Oacutebn[]ObnJLhdOY H MeJ QsO H hZ[W^jb H Qc[]O[SXY[]ZOslashJ^eJUYZbnhdQRK H [PhYlaquouuml thorn timesOslash yumlNPO^uuml thorn UgraveUcircUacuteUuml yuml X[PhNiKKfcQsbLN H QR[]OYfcQV`PJ H Jk H jehZJFYJ[]ZOslashJUO H N H QR[]OtimesNPO^gZOslash[UBQcOF[[Pcent~JUb H Y^eJ H JUb H Qc[]OO^

G []ZOslashJT[ H MeJLhUacuteNiKKh[]NPbMeJUYlaquoa)vMN`BhNicentEgrave[Ph H mJ H NPfd^VeltfhShSvMeJUYONPj^ J H NPfd^VefhShSh]j9KhZ[PKEgrave[]YJ H [OtildebMe[B[]YJ(N H JUNPbdMOslashY H JLK H MeJ^QcYKfsNPbnJZOslashJUO H [SX H MeJNPb H QVUPJ(bn[]OWVH []jeh H MN H ZaringN`PJUY H MeJybnhQ H JLhQc[]OOtilde^eJUbnhZJUNPYJS^SvMN`BhNicentEgrave[Ph H miexclJ H NPfd^a)vMN`hNicentEgrave[Ph H mJ H NPfd^VecopyfhShS]jtimesQcO H h[B^jbnJ N`hZJ[]QR[]OWVcentNPYZJU^7NiKKhZ[]NPbMxXiacute[Ph H MeJ YZJ[]ZOslashJUO H N H Qc[]O[SXQZOslashJU^QcbLNPfQZ N[PJUY^ iexclYQcOeKj H [SX H MJUQRhNPfV[P[PhQ H MZe H MeJm bn[]OYQc^eJLh(centEgrave[ H M H MeJNPb H jNPf9QZaringN[PJgOtilde NPO^ H MeJOtildehZJ[]QR[]OWV4bLfsNPYZYZQVJU^ QCZaringN[PJgOtildeoslash^FMeJOtildebLfcNPYZYZQVJU^ QZaringN[PJOtilde oslash QcYiexclbn[]ZOslashKj H JU^`centmwZaringNkeQZaringQVcurrenUQcOF[ H MeJTKEgrave[]Y H JLhQc[Ph^QsY H hQRcentj H QR[]O [SX H MeJThJ[]QR[]OfcNicentEgraveJUfcY[]QUPJUO H MeJQcO H JUOYZQ H maeligQZaringN[PJS^MeJUQRh0hZJ[]QR[]O H JLhlZ JUOXiacute[PhbnJUY H MJcentEgrave[]jO^WVNihYm H [JUObLfc[]YJaringNYZQcOF[]fRJaelighZJ[]QR[]OQcOumlOtildeoslash^MeJaring^JUYZbnhQRK H [PhdYOtildeNihZJ H MeJXiacute[]fcfR[WQcO[WQ H M H MeJauml^QEgraveJLhZJUObnJ H MN HH MeJmWFNPO HH [regZaringNkeQZaringQcurrenLJ H MJTbnhQ H JLhQc[]OocircaringEFG FH uuml thorn UgraveUacuteUuml yuml aacute[Z] Otilde oslash a2atildeltszligaumljuuml thorn times Oslash yuml aacute suuml thorn otilde)yuml aacute[Z cent Otilde_^Ogravea2atildeshyszligaumlFj a)zSjWMJLhZJ]Z NPO^`Z cent NihZJ H WNtilde[7KEgrave[]YZQ H QVUPJbn[]OY H NPO H YNPO^ Otilde_^aQcY H MeJfrac34[PhNP^QRJUO HQZ N[PJS^ KhQc[PhYMNiKEgraveJ H JLhZDQcY(NPfcY[OslashNP^^eJU^ H [ H MJaumlbnhQ H JLhQR[]OeWiexclMQcbMbLNPO centEgraveJQcO H JLhZJUY H QsO[gXiacute[PhZOslashJU^QcbLNPf-QCZaringN[]QcO[gWiexclMeJLhZJ H MJiexclON H jehJ[SX H MeJYZMNiKEgraveJiexcl^[JUYFOe[ HbdMNPO[PJNaumlfc[ H Xh[]Z2QcO^QUBQc^jNPf H [TQsO^QVUWQc^jNPf)^MeJUOeiNPYNtildeQcOwa)EgraveMBjaringNPO^ordm0jQcfcfRJSefhShS]je H MeJWMe[]fRJaumlKhZ[PcentfRJZ QsY(hZJU^jbnJU^ H [ bn[]ZaringKj H QcO[ cent=[]jO^NihYm QcO H J[PhdNPfcYH MNPOF`BY H [ H MeJ hZJLJUOWVAQcJZaringNPOO H MeJL[PhZJZte(hN H MeJLh H MNPO centEgrave[ H M centEgrave[]jO^NihYmNPO^ ^[]ZaringNPQcO QcO H J[PhNPfcY^yacuteMeJQZOslashKfRJZaringJUO H N H QR[]O [SX H MeJNPb H QVUPJ7bn[]O H []jhaQcOa)vMN`hNicentEgrave[Ph H mJ H NPfd^Ve fhShS]jaringQcYaring^e[]OeJacentmjYZQcOF[N not []jehQcJLharingKNihNSZOslashJ H JLhdQVcurrenUN~VH QR[]O^yacuteMeJJkWKhZJUYZYZQc[]O [SX H MeJumlUPJUfR[WbLQ H mAumlUPJUb H [Ph [SX H MeJOacuteNPb H QVUPJ7bn[]O H []jeh QcY

uumlnyacute|thornLyuml13 a

yenKbrvbarsect =4 acirc $ zOe[ H bn[]ZOslashKj H JU^OeNtildecentj HOslashH MeJ bnhQ H JLhQc[]OQcYaringQcO H hZ[W^jbnJU^NPO^ OBjFZOslashJLhQcbLNPfsfVmOacuteJUiNPfuVjN H JU^ QsO [Ph^eJLh H [ ZaringNkeQZaringQVcurrenLJQ H ^ JbLNPO Oe[ H J H MN HH MJeumlNPj H Me[PhYMNUPJKh[PK=[]YZJU^ NlaquoUPJLhYm QcO H JLhZJUY H QcO[aeligJk H JUOYZQR[]O [SX H MQcYWNtilde[Phl` jYQcO[ H MJ5[]NSZaringJ H MeJnV[PhYma)vMN`BhNicentEgrave[Ph H m NPO^jObLNPOOeOfhShSh]j^J[]Qc[]O NPO^ cent=[]jO^NihYmOslashbnhQ H JLhdQR[]OYNihZJYJLKNihdN H JU^OePcentj H JUNPbMaringbnhQ H JLhQR[]Otimesbn[]O H NPQcOY$NPOtimesQsO H JLhNPb H Qc[]OlaquoWQ H M H MeJ[ H MeJLh^ Y H MJ_[]NSZOslashJKhZ[S[PhJUYZYJUYeBcentEgrave[ H MZOslash[W^jfcJUYyQZOslashKh[UPJ H MeJUQRh0KEgrave[]YZQ H QR[]OY H MhZ[]j[]MZtimesj H jNPfQcOFX[PhlZ N H QR[]O YZMNihQsO[^

Oe[ H MeJLhIacuteYZQZaringQcfsNihUacuteNiKKhZ[]NPbMMNPYaumlcentEgraveJLJUOQcO H hZ[W^jbnJU^eumlcentmbvMeJUYZONPj^eumlJ H NPfd^a)vMJUYZONPj^ J H NPfd^VefhShSh]j^FMeJUQchNtilde^eJUYZbnhdQRK H [PhYFNihZJhZJnVJU~NPfsjN H JU^ JUNPbM H QZOslashJUacuteNKEgrave[]QcO H [SX H MJNPb H QVUPJbn[]O H []jehFJUP[]fVUPJUY0YZQsObnJ H MeJUQRh0^JUYZbnhQRK H [PhdY$NihZJY H N H QcY H QcbLNPfXiacuteJUN H jehZJUYOtilde[SX H MeJ QZaringN[PJordm[]fR[PcentNPfsfVm`N HH NPbdMeJU^ H [ H MeJOslashJUP[]fVUWQcO[ hZJ[]Qc[]OY^shyMJmbdMe[[]YZJ H MeJ`hNPO^e[]Z ^QcYKfsNPbnJZOslashJUO H [SXaumlNOacutebn[]OYZQs^eJLhZJU^ KEgrave[]QcO H [SX H MeJ NPb H QVUPJbn[]O H []jehOslashY[ H MN HIacuteH MJ bnhQ H JLhQR[]O7^eJUbnhZJUNPYJUY^$ _X H JLhaeligJUNPbdM ^QcYKfsNPbnJZOslashJUO H [SXNKEgrave[]QcO H [SX H MeJIacuteNPb H QVUPJIacutebn[]O H []jehe H MJT^eJUYZbnhQcK H [PhY(NihZJOtildehZJnV4bn[]ZaringKj H JU^O^

fcN H JLh NiKKhZ[]NPbdM MNPYaringcentEgraveJLJUOQcO H hZ[W^jbnJU^ centm G NSZaringY[]O J H NPfd^_a G NSZ Y[]OJ H NPfd^Ve sSsSs jyacuteXiacute[PhOtildebLfcNPYZYZQbLN H QR[]OaNPO^acentmvMNPO NPO^frac34$JUYJa)vMNPOeumlNPO^frac34$JUYJSesSs fjX[PhaYZJ[]ZOslashJUO H N H Qc[]O [SXaeligY H QcfcfOtildeQZ N[PJUY^yacuteMeJm KhZ[PKEgrave[]YJ H [JZIacutecentEgraveJU^ H MeJbnhQ H JLhQR[]O ^QRhZJUb H fVm`QcO H MJaeligfcJUPJUf$YJ H X[PhlZtimesjfcN H Qc[]OO^Ov(MNPOeumlNPO^$JUYJOslashKhZ[PKEgrave[]YJH MeJordfXiacute[]fcfR[WQcO[Oslash^eJUYbnhQRK H [PhYaringEFG FH uuml thorn UgraveUcircUacuteUuml yuml aacutecb7d Otilde e f centUhguuml thorn timesOslash yuml aacutecb cent Otilde e cent centuuml thorn otilde)yuml aacuteiS adi]jWQ H M e H MeJ NUPJLhN[PJ[SXgOtildeQcOicircOuml timesOslash e e cent H MJ`NUPJLhdN[PJ[SXgOtilde7QsO OumluUgraveUcircUacuteUuml^MeJUYJH WNtilde[ UiNPfcjeJUY NihZJhJnVJUY H QZaringN H JU^ ^jehQcO[ H MeJKhZ[PK-N[]N H QR[]O [SX H MeJbLjhYUPJNPYH MeJaelighZJ[]Qc[]OYJUP[]fVUPJS^shyMeJtimesKNihNSZaringJ H JLhYjb e1b cent egeumlNPO^kSNihJaringY[]ZOslashJaeligKEgrave[]YZQ H QVUPJbn[]OY H NPO H Y^iexclJLhZJ H MJ fRJUPJUfFYJ H ZOslashJ H Me[W^QsYIacute^QchZJUb H fVmjYJU^OacutecentmhJLKhZJUYJUO H QcO[H MeJtimesbLjehYUPJlaquoYacuteaagravejNPY H MeJycurrenLJLhZ[fRJUPJUfampYJ H [SXyNQRKYZbdMQ H currenTbn[]O H QcOBje[]jY_XiacutejOb H QR[]Ol a2atildeshyszligaumlKszligYagravej^]MeJfRJUPJUfWYJ H XiacutejOb H QR[]O l QcYQsO H hZ[W^jbnJU^timesQcO H MeJbnhQ H JLhQc[]OUWQcN H MeJiexclJUNUWQcYZQc^JyacuteXiacutejOb H QR[]Onmra l j^MeJbnhQ H JLhQR[]O QcY H MeJUOoZaringQcOQZaringQVcurrenLJU^WQ H M hZJUYKEgraveJUb HH [ l jYZQcO[OslashNaelighZJ[]jfcNihQVcurrenLJU^UPJLhYQR[]O[SX H MJyZaringQcOQCZaringQVcurrenUN H QR[]O KhZ[PcentfcJZ JIacuteOe[ H JMeJLhJ H MN HFH MeJJUP[]fcj H QR[]OaringJBjN H QR[]O QcY0^QRhZJUb H fVmtimesJkBKhZJUYZYJU^regWQ H M H MJiexclfRJUPJUf-YJ HXqjOb H QR[]O NPO^ Oe[ H WQ H M H MJTbLjehYUPJgYacute|^

G []ZOslashJ[ H MeJLhWNtilde[Phl`BYeBjYZQcOF[auml^QcY H hQccentj H QR[]O H MeJL[PhYmSeBMNUPJcentEgraveJLJUOaringKh[PK=[]YZJU^OslashcentmJLcenthZJUjFUPJaJ H NPf)^_aJLcenthZJUjUPJ J H NPfd^Ve sSs fjXiacute[PhZaringJU^QcbLNPfQCZaringN[]QcO[NPO^ centm 5ZaringNP^QRJUjJ H NPfd^shyaq _Z NP^QRJUj J H NPf)^VeshyfhShSh]jcopyXiacute[PhcentjQsfc^QcO[times^eJ H JUb H QR[]OO^not QcONPfcfVmSe~hZJ[]QR[]OWVcentNPYZJU^aringNPb H QVUPJbn[]O H []jehYNtildeNihZJNPfcY[OtildeKEgrave[WFJLhYXqjf H [[]fsYX[PhNtildebLfcNPY5VYZQbLN H QR[]Opounda13yJcurrencurrenUQJ H NPfd^VeshyfhShSh]j[Ph_ZOslash[ H Qc[]O^eJ H JUb H QR[]Oxaw_aNPOYZ[]jehQgNPO^wcOtilde[]OWVhNP^efhShSh]j^MeJZ N~5[PhOtildebn[]O H hQRcentj H Qc[]Oa[SXy[]jh5WF[PhY`aQsY H [KhZ[PKEgrave[]YJaeligNo[PJUOeJLhNPfQXiacutehNSZOslashJnVWF[PhY`X[PhaumlhJ[]QR[]OWVcentNPYJU^OacuteNPb H QVUPJ bn[]O H []jehY H N`BQcOF[QcO H [NPbLbn[]jO HIacuteH MeJaringbLNPYJ [SX

hZJ[]Qc[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhY^OgraveMeJ UPJUfR[WbLQ H mordmUPJUb H [PhF[SX H MJiexclNPb H QVUPJUacutebn[]O H []jh

uumlnyacute|thornLyuml13 o

i $amp)(+-)013021+345627893lt=gt9A6CBQcYUacutebn[]ZOslashK-j H JU^centm`QcO H hZ[W^jbLQcO[N ^mWONSZaringQcbLNPfampYZbdMeJZOslashJaring^QchZJUb H fVm`QsO H MJaringbnhQ H JnVhQc[]O H [frac34ZaringQcOQZaringQVcurrenLJaeligNPYTQcO aJLcenthJUjUPJ J H NPfd^Ve sSs f 5ZaringNP^QcJUjJ H NPfd^VefhShSh]j^iexcl[WFJUPJLheWFJ KhZ[PKEgrave[]YJ MJLhZJ N OJW Xiacute[PhlZtimesjfcN H QR[]O7[SX H MJ^JLhQVUiN H QR[]OjYZQcO[YZMNiK=JIacute[PK H QZaringQcurrenUN H QR[]O H [B[]fcY^ Q H M YjbM NZaringJ H Me[B^egtWFJtimesNihJaeligNicent-fRJ H [hZJUNP^QsfVmH N`PJQcO H [NPbLbn[]jO HaringH MeJ bLNPYJ [SXhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhY H MN H U~NihYm^jhQcO[ H MeJ KhZ[PKN[]N H QR[]O[SX H MeJ NPb H QUPJ bn[]O H []jeh^MeJUYJ ^eJUYZbnhQRK H [PhYTMNUPJH [centEgraveJtimesbn[]OYZQc^eJLhZJU^ YZQcObnJ H MJmaNihZJlaquoWQc^eJUfmjYJU^X[PhOtildejOYZjeKEgraveJLhYUWQcYJU^YJ[]ZaringJUOWVH N H QR[]O^ not [Ph(YZjbdM hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYbnhQRK H [PhYeOgraveWFJiexclYZMe[W H MN H NP^^Q H QR[]ONPfH JLhlZ Y0NiKKEgraveJUNihNtildeQsO H MeJJUP[]fcj H QR[]OaringJBjN H QR[]O [SX H MeJiexclbLjehlUPJ H MN H MNUPJUacuteOe[ H centEgraveJLJUOKhJUBQR[]jYZfVm bn[]ZOslashK-j H JU^O^

pE paraOacuteOgraveJJTIshyAgravesup1cedilqoacuteIshyacuteLcedilsup3UrltLcedilgtmicrobacuteNsMgtLtrraquoML iquest acuteAgravegtT2MKIOAacutelAcirclaquocedilFAtildeacuteNfrac12oRSJT13AringKacutepoundAEligMKIKJMgtPltLAtildeq jhyZaringNPQcOb[P[]NPfFfsQRJUYTQcO H MeJ JUfsNicent=[PhdN H QR[]O[SXNfrac34[PJUOeJLhNPfXhdNSZOslashJWNtilde[Phl`umlX[Ph H MeJYJ[]ZaringJUO H N H QR[]O7[SXNPO7QZaringN[PJQcO H WF[euml^Q=JLhJUO H hZJ[]QR[]OYtimesjYZQcOF[hZJ[]QR[]OWVcent-NPYJU^NPb H QVUPJIacutebn[]O H []jehdY^ JOtildeKhZ[PKEgrave[]YJ H [ZaringQcOQZ QVcurrenLJ H MeJiexcl[PJUOeJLhdNPfgbnhQ H JLhQc[]O a2jWiexclMeJLhZJUacuteJUNPbM hJ[]QR[]OQcYamp^eJUYbnhQRcentEgraveJU^TjYQcO[UacuteN_XqjOb H Qc[]OtimesbLNPfsfRJU^ n^eJUYZbnhQRK H [Ph[SX H MeJhZJ[]QR[]Op^i YampKhZJUWQuV[]jYfVmOtilde^eJ H NPQcfRJU^OeNiexcl^eJUYbnhQRK H [PhQcY9N XiacutejOb H QR[]O H MN H ZOslashJUNPYZjhZJUY H MJNtildeMe[]ZOslash[S[PJUOJUQ H m[SXyN hZJ[]QR[]OO^Egrave_[]Y H [SXyhJUfRJU~NPO H Y H N H QcY H QcbLNPf^eJUYZbnhQcK H [PhY^JLK=JUO^ H MeJZaringYZJUfVUPJUY[]O H MeJOslashhJ[]QR[]OO^ G []ZOslashJOslashJkeNSZOslashKfRJUYOtildeNihJordm[]QVUPJUOQcO G JUb^shy^ macr^ not [PhTJkWNSZOslashK-fRJSe H MeJhZJ[]Qc[]Oa^eJUYZbnhdQRK H [Phordfuuml thorn timesOslash yuml bLNPO centEgraveJTbM[]YJUOeumlNPY H MJyUiNihQcNPObnJvu centtimesOslash [SX H MeJThJ[]QR[]OOumlcopytimesOslashFeWMQcbdM[]QVUPJUYaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashj|aacute[u centtimesOslash aacutexw$ aOtilde SOtimesOslashjUcirccent atilde aumlw$ atilde aumlWMJLhZJSOtimesOslash QcY H MJyZOslashJUNPO [SX H MeJaumlhJ[]QR[]OwOumlcopytimesOslash^ G jbMaNaring^eJUYZbnhQcK H [PhQcY(ONSZaringJU^aNn5hZJ[]Qc[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhlpOslashYZQcObnJaumlQ H ^eJLKEgraveJUO^YF[]O H MeJaumlhJ[]QR[]OwOuml timesOslash ^q ObnJ H MeJTbnhdQ H JLhQR[]O QcYQcO H h[B^jbnJU^OeWNtildeJTKhZ[PKEgrave[]YJ H [ bn[]ZaringKj H J H MeJTJUP[]fcjWVH QR[]OUacuteJBjN H QR[]OT[SX H MJ0bn[]O H []jh H MN H WQsfcfZaringN`PJ0Q H JUP[]fVUPJ H [WNih^YNyacuteZaringQcOQCZIacutejFZ[SX H MeJTbnhdQ H JLhQR[]OjYZQcO[OslashNaringOeJWH0jfcJLhQcNPOZOslashJ H Me[W^O^ H XqjO^NSZOslashJUO H NPfcfVm ^QEgraveJLhYXiacutehZ[]Z2[ H MJLhFNiKKhZ[]NPbMeJUYFYZQcObnJyacuteWNtildeJ_`PJLJLK H MJ Xiacute[PhlZIacutejfcN H QR[]Oaring[SXhJ[]QR[]OY0QsOY H JUNP^[SXyhJU^jbLQcO[ H MeJWiexclMe[]fRJTKhZ[PcentfRJZ H [ centEgrave[]jO^NihYm QcO H J[PhNPfcY^gtO^JLJU^OeWFJlaquohY HQcO H hZ[W^jbnJFNiexcl^mWONSZaringQsbLNPfYZbdMeJZOslashJ(QcO H MeJ(bnhQ H JLhQc[]OIacuteNPO^ H MeJUOWFJbn[]ZaringKj H J H MeJNtildejfRJLhQcNPO`^eJLhQVUiN H QVUPJaelig[SX H MJOslashJUP[]fVUBQsO[ bnhQ H JLhQR[]O`centm`jYZQsO[ YMNiKEgraveJIacute[PK H QCZaringQVcurrenUN~VH QR[]O KhQsObLQRKfRJUY^]MQcYZOslashJ H Me[W^ KhZ[UWQc^eJUY H MeJUacuteNP^U~NPO H N[PJ H MN HH MeJ5U~NihdQcN H QR[]O[SXehZJ[]Qc[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYbnhQRK H [PhYltWQ H M H MeJFJUP[]fcj H QR[]OIacute[SX H MeJNPb H QVUPJ(bn[]O H []jhbLNPO centEgraveJOtildehZJUNP^QcfVm H N`PJUO`QcO H [ NPbLbn[]jO H ^MeJTbn[]ZOslashKj H N H QR[]Oa[SX H MJTJUP[]fcj H Qc[]OaJBjN H QR[]O`[SX H MeJIacuteNPb H QUPJtimesbn[]O H []jehOtildeQcYKEgraveJLhYXiacute[PhlZOslashJU^QcO H MehJLJyZaringNPQcO Y H JLK-Yaring

uumlnyacute|thornLyuml13 y

yenKbrvbarsect =4 acirc $ hf^ltO H hZ[W^jb H QR[]O[SX$NOslash^mWONSZaringQcbLNPfYbMeJZOslashJSaring JTYJUNihbdMX[Ph H MeJOtildeKNih H Q H Qc[]O[SX H MeJaumlQZ N[PJadOumlcopytimesOslashszliglOuml UgraveUcircUacuteUuml szligYYacutejWMQcbdMZaringQcOQuVZaringQVcurrenLJUY H MeJbnhQ H JLhQR[]Oocirc|adOumlcopytimesOslashgtszliglOuml UgraveUcircUacuteUuml szligYYacutej^eJUYZbnhQRcentEgraveJU^aeligQcOa2j^ MQcfRJNPYZYZjZaringQcO[

H MN H NPO`[PK H QZaringNPf9KNih H Q H Qc[]O JkWQsY H Ye H MJTQcYZYZjJTQcY H [ bn[]ZOslashKj H J H MQcYiexclY[]fcjWVH QR[]OO^ G QsObnJ H MeJ YJ H [SX(NPfcfy^e[]ZaringNPQsOYaumlMNPYIacuteOe[ H NaY H hjb H jehZJOslash[SXcopyUPJUb H [PhQsNPfYKNPbnJSeQ H QcYauml^Qz bLjf HUacuteH [abn[]ZOslashKj H J H MeJ ^eJLhdQVU~N H QUPJOslash[SX H MJ bnhQ H JLhQc[]ONPb|Vbn[Ph^QcO[ H [ H MJ^e[]ZaringNPQsOY^_[ bLQchbLjFZUPJUO H H MQcY`KhZ[PcentfcJZeyacuteWFJNiKKfmN H hNPOYYX[PhlZ N H QR[]O| H [ JUNPbM^e[]ZaringNPQsOOeYZjbdM H MN H Q H centEgraveJUbn[]ZOslashJUY`bn[]OWVH QcOj[]jYZfVm^eJLKEgraveJUO^eJUO H []O NPO JUP[]fsj H QR[]O KNihNSZOslashJ H JLhagrave^MeJ`bnhQ H JLhQR[]Ocent=JUbn[]ZaringJUYT^eJLKEgraveJUO^eJUO H []Obagravearingocirc|aagravejgaacute ocirc|adOumlcopytimesOslashaagravejszliglOuml UgraveUcircUacuteUuml aagravejszligYYacuteaagravejj^QO H MQcY^mBONSZaringQcbLNPfTYbMeJZOslashJSeiexclWFJ bLNPO hJUNP^QcfVm H N`PJQcO H [ NPbLbn[]jO H N K=[]YYZQRcentfRJU~NihQsN H QR[]O[SX H MeJ ^eJUYZbnhdQRK H [PhYWQ H M H MeJJUP[]fVUWQcO[ hZJ[]QR[]OYk|adOuml times j aacuteOumlcopytimesaagravej^

^QiexclJLhdQVU~N H Qc[]O [SX H MeJaumlbnhQ H JLhQc[]O jYZQcO[OslashYZMNiK=JOtilde[PK H QZaringQVcurrenUN H QR[]O H MJL[PhZJZaringYaringMeJNtildebnhdQ H JLhQR[]OocircOcircaagravej9QcY H MeJUOIacute^JLhQVUPJU^TNPbLbn[Phd^QcO[ H [5agrave H MNPO`WY H [ H MeJFbn[]ZaeligVKj H N H QR[]Oeuml[SX H MeJ0jfRJLhQcNPOeuml^eJLhQU~N H QVUPJaelig[SX_ocircjYZQcO[YZMNiKEgraveJaelig[PK H QZ QVcurrenUN H QR[]OKhQcObLQcKfRJUYeOWMQcbMQcYIacuteOJWQsO H MeJNihZJUN [SXNPb H QVUPJ bn[]O H []jehY^$ YXqNihOslashNPYH MeJF^JLhQVUiN H QR[]OTQcYbn[]ObnJLhOeJU^e H MeJU~NihdQcN H QR[]OIacute[SX H MeJF^JUYZbnhQRK H [PhdYWQ H M H MeJJUP[]fVUBQsO[OslashhZJ[]QR[]OY_Oumlcopytimesaagravej(NPO^Y[ordmWQ H MagravetZIacutejY H centEgraveJ H N`PJUOaQcO H [aringNPbLbn[]jO H ^

^vF[]ZOslashKj H N H Qc[]O [SX H MJaumlJUP[]fcj H QR[]OJjN H Qc[]OXh[]Z H MeJauml^eJLhQU~N H QVUPJSaringnot hZ[]Z H MeJNtilde^JLhQVUiN H QVUPJSeWFJNtilde^eJU^jbnJ H MeJUPJUfR[WbLQ H mordfUPJUb H [Ph$[SX H MeJFNPb H QVUPJbn[]OWVH []jeh H MN H WiexclQcfcfZaringN`PJQ H JUP[]fUPJiexclNPYXqNPY H NPY$KEgrave[]YZYQRcentfRJ H [WNih^YNtildeNgZaringQcOQCZIacutejFZ[SX H MeJOtildebnhQ H JLhdQR[]OO^ObLNPYJUacute[SX9hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhYe H MeJUacuteJUP[]fcjWVH QR[]OeumlJjN H QR[]Oeuml[SX H MJaringNPb H QVUPJaringbn[]O H []jhTQcYOtilde^QEgraveJLhZJUO H XhZ[]Z H MJtimes[]OJaringbn[]ZaeligVKj H JU^ Xiacute[Ph hZJ[]QR[]OWV4QcO^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhY^ G []ZOslashJ`NP^^Q H QR[]ONPf H JLhZaringYNiKKEgraveJUNihiexclNPO^`Y[ Q H QcY[SX$KhdQZOslashJaumlOeJUbnJUYZYQ H m H [bn[]OYZQc^JLh H MeJ H WNtilde[o`WQcO^Y([SX^eJUYZbnhQRK H [PhY(YJLKNihN H JUfmS^

9J H jYFOe[ H J H MN HFH MQcY[PJUOeJLhNPfKXiacutehNSZOslashJWF[PhY` bLNPO centEgraveJNiKK-fcQRJU^ H [ordmZaringNPOm ^QEgraveJLhVJUO H NiKKfsQcbLN H QR[]OYcentm[]OfVmbMNPO[]QsO[ H MeJT^eJUYbnhQRK H [PhY^ H MNPYcentEgraveJLJUOOe[ H NicentfmNiKK-fcQRJU^ H [ordmZOslash[UBQsO[aelig[Pcent~5JUb H Y(^J H JUb H QR[]O QcOoUBQs^eJL[timesYZJjeJUObnJUY(NPbjQchZJU^ JUQ H MeJLhWQ H MN Y H N H QcbawS]JUMNPOWV4XFJUYZY[]O J H NPfd^Ve sSs fLbjiexcl[PhUacuteNregZOslash[Pcent-QcfRJTbLNSZOslashJLhdNawS]JUMNPOWVXFJUYZY[]O J H NPf)^Ve sSs fncentj^ JUYZbnhQRK H [PhdYoZ Nm NPfcY[centEgraveJ YJBjeJUO H QcNPfcfVm jYJU^ H [QZaringKhZ[UPJ H MeJu-ONPfBhZJUYZjf H NPYyQ H MNPYampcentEgraveJLJUOaeligKh[PK=[]YZJU^timesQsOtawSPJUMNPOWV4XFJUYZYZ[]OOslashJ H NPfd^VesSs fLNOgravej^^f^~OacuteETHEgraveKEacute18=KETH32EacuteltOacuterEacute0frac34Ntilde83ltOacuteONtildeshyIacute=gtNtildeshyEumltIcirc=39IgraveFIacute5Igrave O QZaringN[PJumlOtildegta2atildeltszligaumlj QcYNxXqjOb H QR[]O ^eJOJU^ Xiacute[Phpounda2atildeshyszligaumlFj OumlOcirccenteuWMeJLhZJOumloslashQcY H MeJ QZaringN[PJ ^e[]ZaringNPQcOO^ltMeJ QCZaringN[PJ ^e[]Z NPQcOQcYIacutebn[]OYZQc^eJLhJU^ H [ cent=JZaringNP^eJjeK`[SX H WF[KNih H Ylaquoa not Q[^fjaring H MJyXiacute[PhZJ[PhZ[]jO^`KNih H bn[]O H NPQsOQcO[ H MeJT[Pcent~JUb H Y H [

uumlnyacute|thornLyuml13

f s $amp)(+-)013021+345627893lt=gt9A6CBYJ[]ZaringJUO H e=Oe[ H JU^frac34OumlcopytimesOslashFe-NPO^ H MeJaumlcent-NPbY`[PhZ[]jO^aKNih H Oe[ H JU^Ouml UgraveUcircUacuteUuml ^MeJauml^QcYZbn[]OWVH QcOBjQ H m`YJ H QcYOtildeNbLjehlUPJ Oe[ H JU^bYacute H MN H ^JOeJUY H MeJ cent=[]jO^NihYmcentEgraveJ H WNtildeJLJUO H MeJH WNtilde[ ^[]ZaringNPQcOY^ J H MJUOaYJUNihbdMtXiacute[Ph H MeJ H WNtilde[^e[]ZaringNPQsOYyacuteOuml UgraveUcircUacuteUuml NPO^wOumlutimes OslashWMQcbdMtZaringQcOQZaringQVcurrenLJ H MeJbnhQ H JLhQR[]Oocircuml[]QVUPJUOcentmumla2jehZJZaringQcO^eJU^ MeJLhZJSaring

ocirc|adOuml UgraveUcircUacuteUuml szliglOumlcopytimesOslashgtszligYYacuteQjumlaacute uuml thorn UgraveUcircUacuteUuml yuml a2atildeltszligaumlgtszliglOuml UgraveUacuteUuml j atilde auml $ uuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOuml timesOslash j atilde aumlamp uacuteucirc thorn yuml uuml thorn otilde)yuml a2atildeshyszligaumlFj THORN5OaumlbnhQ H JLhdQR[]Oa2je H MeJ|hY HH WNtilde[ H JLhlZaringY9NihJyhZJ[]QR[]OWVcent-NPYJU^ordfWMQsfRJ H MeJ H MQRhd^ H JLhlZQcYcentEgrave[]jO^NihYmVcentNPYJU^O^MeJiexclXqjOb H QR[]OYyacuteuuml thorn UgraveUcircUacuteUuml yuml egtuuml thorn timesOslash yuml NPO^tuuml thorn otilde)yuml NihZJaumlhZJUYKEgraveJUb H QVUPJUfmH MeJ^eJUYZbnhdQRK H [PhY[SX H MeJFcentNPbl`[PhZ[]jO^timesKNih H ei[SX H MeJ[Pcent~JUb H Y H [OtildeYJ[]ZOslashJUO H NPO^Iacute[SXH MeJaumlbn[]O H []jeh^KMeJauml^eJUYbnhQRK H [PhYuZ Nm centEgraveJordf[]fR[PcentNPfcfm N HH NPbMJU^ H [ H MeJOtildeJUP[]fVUWQcO[hZJ[]Qc[]OY(NPO^Y[ ^eJLKEgraveJUO^ []Ofrac34Ouml timesOslash [Ph5OumluUgraveUcircUacuteUuml^

G QcObnJ H MeJaringYJ H [SXNtildeNPfsf$^e[]ZaringNPQcOYUacuteMNPYOtildeO[ H N Y H hjb H jehJtimes[SXUPJUb H [PhQcNPfyYZKNPbnJSeWFJIacutebLNPOeumlOe[ H bn[]ZOslashKj H J H MeJaelig^eJLhQVUiN H QVUPJT[SX H MJIacuteKhJUBQR[]jYbnhQ H JLhdQR[]OaNPbLbn[Ph^QcO[H [euml^e[]ZaringNPQcOY^ltMJLhZJX[PhJSe H [bn[]ZOslashKj H JNPO[PK H QZaringNPfFY[]fcj H Qc[]OOe9Neuml^mWONSZaringQcbLNPfYZbdMeJZOslashJOtildeQcYQcO H hZ[W^jbnJU^WMeJLhZJJUNPbM^[]ZaringNPQcO cent=JUbn[]ZaringJUY(bn[]O H QcOBje[]jYfVm ^eJLKEgraveJUOWV^eJUO H []ONPO JUP[]fcj H QR[]O KNihdNSZOslashJ H JLhagrave^59[ X[PhZaringNPfcQVcurrenLJ H MQcYQc^eJUNe WNtildeJxZaringNmYZjKKEgrave[]YJ H MN HTH MJ JUP[]fcj H Qc[]OKhZ[WbnJUYZYtimesQcY H [ H NPfsfVm^eJ H JLhlZaringQcOJU^centm H MJ JkeQcY5VH JUObnJiexcl[SXgNyXqNSZaringQcfmIacute[SXgNiKK-fcQcbLN H QR[]OY| H MN HNtildeH hNPOYXiacute[PhlZaringY H MeJiexclQsOQ H QcNPfe^e[]Z NPQcOYOumlcopytimesOslashgta s jNPO^tOuml UgraveUcircUacuteUuml a s jQsO H [ H MeJIacutebLjehZhZJUO H ^e[]ZaringNPQcOYyacuteOumlcopytimesOslashKaagravejNPO^frac34Ouml UgraveUcircUacuteUuml aagravejaring

OumlutimesUcirca s j ntilde OumlcopytimesaagravejYacutea s j ntilde Yacuteaagravej WiexclMeJLhZJVQaacuteiV[Ph Kf5 iumlMBjY H MeJOtildehJ[]QR[]OY(JUP[]fVUPJ H [WNih^YiexclNPO [PK H QZaringNPf9Y[]fcj H QR[]O^MeJ H hQRKfcJ H Ouml UgraveUcircUacuteUuml aagravejszliglOumlcopytimesOslashOaagravejszligYYacuteaagravejordmZIacutejY H NPb H NPYNregZaringQcOQZ QVcurrenUQcO[TYZJjeJUObnJgX[Phocirc|adOuml UgraveUcircUacuteUuml szliglOumlcopytimesOslashszligYYacutejWiexclMeJUOagrave JUP[]fVUPJUY^MeJ5XqjOb H QR[]ONPfOocircOcircadOuml UgraveUacuteUuml aagravejszliglOumlcopytimesOslashaagravejszligYYacuteaagravejjMNPY H [ bn[]OOgraveUPJLhY[PJ H [WNih^Y H MeJpoundZaringQcOQCZIacutejFZ UiNPfcjeJeuml[SXregocirc2NPYfrac34agraveacircntilde ograveegrave^ MeJbnhQ H JLhQR[]O H MeJUO centEgraveJUbn[]ZOslashJUYaring

ocirc|adOuml UgraveUcircUacuteUuml aagravejszliglOumlcopytimesOslashaagravejszligYYacuteaagravejjaacute thorn yuml uuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszliglOuml UgraveUcircUacuteUuml aagravejj atilde auml 5$ thorn yuml uuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashKaagravejj atilde aumlj uacuteucirc thorn yuml uuml thorn otilde)yuml a2atildeshyszligaumlFj THORN adh]jMJoXqjOb H Qc[]ONPf_ocircOcircadOumlyacuteUgraveUacuteUumllaagravejszliglOuml timesOslash aagravejszligYYacuteaagravejjaeligQcY H MeJLhZJUNX H JLh O[ H JU^egraveocirc|aagraveje0NPO^H MeJ ^eJUYZbnhQcK H [PhYuuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashKaagravejj NPO^icircuuml thorn UgraveUcircUacuteUuml yuml a2atildeltszligaumlgtszliglOuml UgraveUcircUacuteUuml aagravejjaringNihZJ`hZJUYKEgraveJUb|VH QVUPJUfmUacuteO[ H JU^laquouuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejgNPO^laquouuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszligYagravejeWMQcbdMTfRJUNP^Y H [ H MeJXiacute[]fcfR[WQcO[

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ fSfJkWKhZJUYZYQR[]OOaring

ocirc|aagravejumlaacute thorn yuml uuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszligYagravej atilde auml $ thorn yuml uumlgtthorn timesOslash yuml a2atildeltszligaumlgtszligYagravej atilde aumlj uacuteucirc thorn yuml uumlgtthorn otilde)yuml a2atildeshyszligaumlFj THORN af s j5OOtildebn[]O H hdNPY H WQ H MUacute[ H MeJLh9NPb H QVUPJFbn[]O H []jehdY9NiKKh[]NPbMeJUYe H MeJy^mWONSZaringQcbLNPfPYZbdMeJZOslashJQcYtimesMeJLhZJ^QRhJUb H fVmQcO H h[B^jbnJU^QcO H MeJbnhQ H JLhQc[]OO^ Q H MYZjbdMNeumlYZbdMeJZOslashJSe H MeJQcO H hZ[W^jb H QR[]OOacute[SXiexclNPO NPb H QVUPJbn[]O H []jehOslashJUP[]fVUWQcO[ WQ H Msup1agraveQcYaeligY H hNPQ[]M H Xiacute[PhYWNih^O^iexclJUObnJ WNtildeJbn[]OYZQc^eJLh H MN H Yacuteaagravej QsYoZaring[B^eJUfsfRJU^ NPY NPO NPb H QUPJOacutebn[]O H []jh H MN Hbn[]OUPJLhY[PJUY H [WNih^Y H MJgONPfEgraveJkWKEgraveJUb H JU^YJ[]ZOslashJUO H N H QR[]OO^9J H Yacutea s jtimescentEgraveJ H MeJQcOQ H QcNPfNtildebLjhYUPJa^eJOJU^centm H MeJjYJLh^ JahZJUbLNPfcf H MN H WFJYJUNihdbMtXiacute[Ph YacuteaagravejNPYNaringbLjehlUPJaumlJUP[]fVUWQcO[aringNPbLbn[Ph^QsO[ H [ H MeJgXiacute[]fcfR[WQcO[ordm5 aringaelig YacuteadTHORNOgraveszligYagravejaelig agrave aacuteegraveeuml WiexclQ H MigraveYacutea s j|aacuteegraveYacuteshyiacute afSfjWMJLhZJ_euml`QcY H MJ_UPJUfR[WbLQ H mUPJUb H [Ph([SX H MeJUacuteNPb H QVUPJOtildebn[]O H []jh^MeJ_Z NPQcO KhZ[PcentfRJZfcQcJUYFQsO-O^QcO[ H MeJiexclUPJUfR[WbLQ H meumlXhZ[]Z H MJUacutebnhdQ H JLhQR[]Opoundaf s jFQcO [Ph^JLh H [ordm[PJ HH MeJXqNPY H JUY H bLjhYUPJaumlJUP[]fcj H Qc[]O H [WNih^Y H MeJordfONPfYJ[]ZaringJUO H N H QR[]O^^ ^iexclEacuteltIacuteETHNtildeFETHEacuteshyOacute Eacute10wETH9Igrave8ltIgraveFEgravegt+NtildeFETH3gt+ltIgraveumlEacute10frac34ETH9Igrave=KEgrave13ETHIgraveFEgraveEacuteshyOacute5Oeuml[Ph^eJLh H [ [Pcent H NPQsO H MeJOslashJUP[]fcj H QR[]OeumlJBjN H QR[]Oe H MeJaringbnhQ H JLhQc[]OxocircOcircaagravej5ZtimesjY H centEgraveJ^QV=JLhZJUO H QcN H JU^WQ H MhZJUYKEgraveJUb H(H [agrave^MeJOtildeQcO H J[PhNPfcentEgrave[]jO^Y^eJLKEgraveJUO^ []Otagrave NPO^H MeJauml^JUYZbnhQRK H [PhdYyacuteuuml thorn UgraveUcircUacuteUuml yuml a)jNPO^wuuml thorn times Oslash yuml a)juZaringNm NPfcY[aring^JLK=JUO^[]Otagrave^9J H jY^eJOJ H MeJordfXiacutejOb H QR[]ONPfuumlOa2atildeltszligaumlgtszligYagravejYZjbM H MN H aring

uumlOa2atildeltszligaumlgtszligYagravej|aacute uuml thorn UgraveUacuteUuml yuml a2atildeltszligaumlgtszligYagravej QVXcopya2atildeltszligaumljwOuml UgraveUcircUacuteUuml aagravejuuml thorn times Oslash yuml a2atildeltszligaumlgtszligYagravej QVXcopya2atildeshyszligaumlFjtOumlcopytimesOslashKaagravej af jMJbXqjOb H QR[]ONPfuuml thorn UgraveUcircUacuteUuml yuml a)jNPO^Huuml thorn times Oslash yuml a)j`NihZJ^eJOJU^ []O H MeJxWMe[]fRJ7QZaringN[PJ^e[]Z NPQcOtOumliexcl^FMeJUOe H MeJaumlbnhQ H JLhQc[]OocircOcircaagravejuWhQ H JUY(NPYaring

ocirc|aagravejOcircaacute uacute uumlOa2atildeshyszligaumlKszligYagravej atilde aumlj uacuteucirc thorn yuml uumlgtthorn otilde)yuml a2atildeshyszligaumlFj THORNordfaacuteocirc aagravej ocirc cent aagravej af]jWMJLhZJgOuml QcY H MeJaumlQCZaringN[PJT^e[]ZaringNPQsOOeeNPO^Oaring

ocirc aagravej|aacute uacute uumlOa2atildeshyszligaumlKszligYagravej atilde aumlocirc cent aagravejOcircaacute uacuteucirc thorn yuml uuml thorn otilde)yuml a2atildeshyszligaumlFj THORN

uumlnyacutenthornnyumll13YSordmY_F

f $amp)(+-)013021+345627893lt=gt9A6CB5OOtilde[Ph^eJLh H [bn[]ZaringKj H J H MJ0^eJLhQVUiN H QVUPJy[SX H MJNtildebnhQ H JLhdQR[]Olaquoocirc aagraveje H MJNtilde^QcYbn[]O H QcOBjWVQ H QcJUY|ZtimesjY H JkWKfcQcbLQ H fVmIacutecentEgraveJ H N`PJUOQcO H [IacuteNPbLbn[]jO H ^ not [Ph(YZjbdM NIacuteKjehZKEgrave[]YJSeSWFJ5hY HhZJUbLNPfsf-N[PJUOeJLhNPf H MeJL[PhJZbn[]ObnJLhOQcO[ H MeJUacute^eJLhQVUiN H QVUPJ[SX9N H QZOslashJnV4^eJLKEgraveJUO^JUO HbnhQ H JLhQR[]OO^9J H jY(^eJ-OeJyOumlcopytimesaagravejNPYNOslashhZJ[]Qc[]OQcObLfcj^eJU^QcO H [regOumlordf^yacute5 q Ntilde_ f^1ltuumlStimesBiexcl centpoundcurrenyencurrenbrvbarsectumlordfcopynotlaquo3shyyenLregmacrcurrenRlaquodegcurrenbrvbarlaquo Oumlplusmna s szligsup2|iexcljsup3acute Rlaquomicromiddotparagtltocirc|aagravejOcircaacute w thorn yuml uumlStimesYa2atildeltszligaumlgtszligYagravej atilde auml~sup3cedilsectsup1ltlaquoordm ocirc agrave aacuteocirc7raquodaagravejOcircaacute thorn yuml aelig uumlStimesaelig agrave atilde auml uacutefrac14 thorn yuml uumlStimesYafrac34frac12 eacuteAgraveiquestsup1AacuteAtildeAcircYj THORNAuml sectsup1ltAringPfrac12AEligreg(centsectsup1Ccedilbrvbar_paracurrenyenshyltregLLEgraveacutecurrensup2uml aelig Oumlcopytimesaagravej RlaquomicroeacuteAgraveiquestsup1AacuteAtildeAcircEacuteregEcirccentsectsup1copysup1laquoregEumlreg(laquo Auml brvbarAringsup2microacutelaquocurrenRAringordfpound RparaIgravecurren aelig Oumlcopytimesaagravej_IacuteMJ^JLhQVUiN H QVUPJ[SXshyocircWQ H MaelighZJUYZK=JUb HampH [yagraveaeligQcY H MJyacute0jfRJLhdQcNPOIacute^JLhQVUiN H QVUPJ([SXocirc|adOumlcopytimesAjQcO H MeJOtilde^QRhJUb H QR[]O [SXEumlfrac12umleWMQcbdM bn[]ZaringKj H N H QR[]O QcY[]QVUPJUO QsO iexclKKEgraveJUO^Qkaring ^FMeJUiNihQcN H QR[]Oeuml[SX5ocirc QcYOtilde^jeJ H [ H MeJUiNihQcN H Qc[]O[SX H MeJordmXiacutejOb H QR[]ONPfOcircuuml]timesa2atildeltszligaumlgtszligYagravejaumlNPO^H [ H MeJgZOslash[ H Qc[]O[SX H MeJOtildeQcO H J[PhNPf^e[]ZaringNPQsOOumlutimesaagravej^ Y(Naeligbn[PhZ[]fcfcNihYm [SXltMJL[PhZJZfeFWFJordf[PJ H aringv q q shy9 5lt f^yenIcirccopyNcentampcentcopyIuml-Iumlsup1currenfcentyenYsectnot -sectsup1Ymicro-currenRpound Rreglaquofrac34Oumlgaagravejampreg(centpound -microETHcopyIumliexclcurrensup2uml Auml currenCIuml RAringordfcentsup3yOuml timesOslash aagravejNtilde RlaquomicropoundOumlyacuteUgraveUacuteUumllaagravejOgravecentyenfrac34Iumlsup1 brvbarAringsup2 brvbarmicro_Egraveh iexclpoundYcurrenbrvbarCcedildreglaquoNOacutehreglaquo5_Aringumllt -shytYacuteaagravejAuml sectETHregmacrshy_sectOcircCcedilRltparaOtildecurrendshyltregLLEgraveregEcirccentyacuteeumlEumlIacuteOumlsectsup1Uumlordfcopynotlaquo3shyyenLregmacrcurrenRlaquouumlOa2atildeltszligaumlgtszligYagravejreg(centcentordfcopyIuml-Iumlsup1currenfcentyenmicroOcircIgravecurrenOcirccentltfrac34Iuml RAringsup2 -_paraEgraveshycurrenRlaquo5LreglaquocopycurrenRcopynotcentcedilreglaquoyOumlcopytimesOslashKaagravejW Rlaquomicro Ouml UgraveUcircUacuteUuml aagravej_copy3pound REgraveampJmicrobrvbarregEcirccentltshycurrenRlaquo5LreglaquocopycurrenRcopynotcentJ -shyltAringPcurrenfcentcentYacuteaagravej_Iacutetimes Agravelaquocurrenbrvbaruuml thorn times Oslash yuml Rlaquomicroruuml thorn UgraveUcircUacuteUuml yuml sup3sectsup1Ccedilf brvbarparacopy5iexclcurrensup2umlwuumlreglaquoOslashAringordfcentIumlshydLreg(Ccedilbrvbar_paraEgraverOumlutimes OslashaagravejAgrave Rlaquo3microOuml UgraveUcircUacuteUuml aagravej_IacuteUgraveOumlsectNcopyNcentampsectmicroETH_Aringordfreg(CcedilR brvbarLregCcedilRcurrensup2umlordfocirc|aagravej Auml AringregLordfcent fcent_ordm

ocirc7raquo)aagravejOcircaacuteUacute thorn yuml aelig uumlaelig agrave atilde auml uacutefrac14 thorn yuml uumlOaLUcirc eacute iquestsup1Aacute j THORN uacuteucirc thorn yuml uumlNaeuml eacuteHj THORNAuml sectsup1ltAringPacute uumlNAringfrac34Iuml3AringP_centlt_laquocentYsectUumlordfcopysup1poundUgraveIumlcurrensup2umlguumlh -shyltAringPcurrenfcentcentordfYacuteaagravej_ordmW uumlNaacuteacircuuml thorn UgraveUacuteUuml yuml uuml thorn times Oslash yuml sup3eacute sectsup1ncopynotlaquo5reglaquo3currenRAringpound RparaIcirccurrensup2umlordfYacuteaagravejmicrobrvbarreg(AringshydmicroampumlAringPcurrenRpound Ouml UgraveUacuteUuml aagravejIgravecurrenOumlutimes OslashKaagravejsup3eacuteAgraveiquestsup1Aacutesectcopysup1laquoregLEumlreglaquo Auml RAringPmicroOcirclaquocurrenRAringordfpound Rpara1Igravecurren aelig Oumlgaagravejj RlaquomicroUcircYacutesectsup1jCcedilbrvbar_paracurrenyenshyltregLLEgravenCcedilbrvbarshydIgravecurrenRAringjcurrensup2uml_Oumlyaagravej_Iacute

plusmngLMOMraquo aring JbLNPO NiKKfVm MJL[PhZJZ f H [ H MeJ ^[]ZaringNPQcO Oumlutimes OslashaagravejaringNPO^ H [ H MeJ^e[]Z NPQcOtOuml UgraveUcircUacuteUuml aagravej^ ^^QcO[ H MeJ H WF[aringJjN H QR[]OYeFWFJOtilde[Pcent H NPQcO H MeJTbn[PhZ[]fcfsNihYmS^ H QcYIacuteOe[WY H hNPQ[]M H Xiacute[PhYWNih^ H [[PJ HtimesH MeJ ^eJLhdQVU~N H QUPJ [SX H MeJ bnhQ H JLhQR[]O ocirc aagravejaringWFJ H N`PJ5OumlyaagravejOcircaacuteAumlOuml H MeJiexclQZaringN[PJ^e[]Z NPQcOta not QV[^ j^MJUOOePcentmaeligJkWKfcQcbLQ H fVm H N`WQcO[

uumlnyacutenthornnyumll13YSordmY_FY

yenKbrvbarsect =4 acirc $ fH MeJtimes^QcYZbn[]O H QcOBjQ H QRJUY(QsO H [ NPbLbn[]jO HUacuteH MNPOF`BY H [ H MeJtimesbn[PhZ[]fcfcNihlmSe H MeJtimes^eJLhQVUiN H QVUPJ[SXocirc aagravejQcYcopy[]QVUPJUOacentmKaring

ocirc raquo aagravejumlaacute uacuteucirc thorn yuml uumlNaeuml eacutej THORN uacutefrac14 uumlOaLUcirc eacuteAgraveiquestsup1Aacutej THORN $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde auml thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afj

q centUWQR[]jYZfVmSe H MeJ7YJUbn[]O^ H JLhlZ [SX H MeJ7^eJLhQVUiN H QVUPJ afjaQcYcurrenLJLh[ YZQcObnJ H MeJJk H JLhONPf(centEgrave[]jO^NihYm aelig OumlD[SX H MeJ`QZaringN[PJaQcYkBJU^^OcircJLKfcNPbLQsO[` uumlN_WQ H MQ H YJkWKhZJUYZYQR[]OOeWNtildeJyO^Oaring

ocirc7raquo aagravejumlaacute uacuteucirc thorn yuml aduuml thorn UgraveUcircUacuteUuml yuml1 uuml thorn timesOslash yuml jaeuml eacuteHj THORN $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde auml thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afmacr]jMJUacute^JLhQVUiN H QVUPJOtilde[SXocirc cent aagravejQcY(bLfcNPYZYQcbLNPfdaring

ocirc7raquocent aagravejOcircaacute uacuteucirc thorn yuml a uuml thorn otilde)yumld huuml thorn otilde)yuml7 eacutejaeuml eacutej THORN af]jWMJLhZJ a2atildeshyszligaumlKszligYagravejQcY H MeJaumlbLjehlU~N H jehJ[SXQYacutea2atildeltszligaumlgtszligYagravej^MeJLhZJXiacute[PhZJSe H MeJOtilde^eJLhQVUiN H QVUPJ[SX H MeJgWM[]fRJOtildebnhQ H JLhQR[]O QsY H MeJordfXiacute[]fcfR[WiexclQcO[aring

ocirc raquo aagravejpoundaacute $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde aumlamp thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afzSj uacuteucirc thorn yuml aduuml thorn UgraveUcircUacuteUuml yuml uuml thorn timesOslash yuml uuml thorn otilde)yuml huuml thorn otilde)yuml eacutejaeuml eacutej THORN

^ ^~THORNUgrave2FEgraveOIgraveIcircIcirclt2EacuteltOacute Eacute0frac34ETH9Igrave8shyIgraveFEgraveEcirc+NtildeFETH3Ecirc+ltIgraveNtilde7==EacuteltEgrave7813Oacute14 ETHOEacute ETH9IgraveOacuteszligltOacuteshyEacuteOacuteAgrave+QIgraveFEumlEacuteAtilde=13ETH+ltIgrave5=KETHOEacuteshyEgravesup1euml5Oaelig[Ph^eJLh H [Tbn[]ZaringKj H J H MeJuUPJUfR[WbLQ H mUPJUb H [PhcopyeumleSWNtildeJMNUPJ H [yZ N`PJQ H NiKKEgraveJUNihyQcOH MeJhY HH WF[ ^e[]Z NPQcOaQcO H J[PhNPfcYiexcl[SX afzSjcentmJkWKhZJUYZYQcO[ H MeJZ NPY_XiacutejOb H QR[]OY[SX H MeJgUPJUfR[WbLQ H meumlQ^iexclJLhZJiexclWFJ H N`PJ H MeJ5[PJUOeJLhNPfbLNPYZJ5WiexclMeJLhZJ H MeJ^JUYZbnhQRK H [PhdYZaringNm ^eJLKEgraveJUO^ []OXiacuteJUN H jehZJUY5[]fR[PcentNPfsfVmN HH NPbMeJU^ H [ H MJtimeshJ[]QR[]OeumlNPO^eumlY[oZ Nm`^JLK=JUO^a[]O agrave^ JZOslash[W^eJUf$JUNPbdM^eJUYZbnhQRK H [PhIacuteNPYtimesNabn[]ZIacutecentQcON H QR[]OOacute[SXuXJUN H jhZJUYy[]fc[PcentNPfcfVmeumlN HH NPbMeJU^

uumlnyacutenthornnyumll13YSordmY_F

f $amp)(+-)013021+345627893lt=gt9A6CBH [ H MJOtildeJUP[]fVUBQsO[OslashhZJ[]QR[]OY_OumlcopytimesOslashKaagravejF[Ph_Ouml UgraveUacuteUuml aagravejaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejpoundaacuteAElig thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn timesOslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejszligiumlViumlViumlVszligagrave thorn timesOslash yumlaacute aagravejjuuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszligYagravejpoundaacuteAElig thorn UgraveUcircUacuteUuml yuml a2atildeltszligaumlgtszligagrave thorn UgraveUcircUacuteUuml yuml aagravejszligagrave thorn UgraveUcircUacuteUuml yumlcent aagravejszligiumlViumlViumlVszligagrave thorn UgraveUcircUacuteUuml yumlacirc aagravejjafi]j

WMJLhZJSaring agrave thorn(atilde yumlauml aacute 7aring thorn yuml5aelig thorn(atilde yumlauml a2atildeltszligaumlgtszligYagravej atilde auml WQ H Mpounda jOcircaacuteacircaVltjF[Pha Kf5 jiuml afh]j9J H jYuhY H bn[]ZOslashKj H J H MeJIacute^eJLhQVUiN H QVUPJOtilde[SXuuml thorn timesOslash yuml eFWFJgO^Oaring

aelig uuml thorn times Oslash yumlaelig agrave aacute aacuteccedilaumlegrave aelig thorn timesOslash yumlaelig agrave thorn times Oslash yumlauml a2atildeltszligaumlgtszligagrave thorn timesOslash yuml aagravejszligiumlViumlViumlVszligagrave thorn timesOslash yumlaacute aagravejj aelig agrave thorn timesOslash yumlaumlaelig agrave aagravej a s j J MNUPJOe[W H [bn[]ZOslashKj H J H MeJ ^eJLhdQVU~N H QUPJ [SXagrave thorn timesOslash yumlauml NPbLbn[Ph^QcO[ H [umlagrave^ JNiKK-fVm H MeJgMeJL[PhZJZigravefaumlNPO^WNtildeJy[PJ H aring

aelig agrave thorn timesOslash yumlaumlaelig agrave aacute $ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde auml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacutej THORN a fj

JLKfcNPbLQcO[ H MeJNtilde^eJLhdQVU~N H QUPJUY9[SX3agrave thorn timesOslash yumlauml WQ H M H MeJUQRhJkWKhZJUYZYZQc[]OYa fj9QcOa s jeSWFJ[Pcent H NPQsO H MJXiacute[]fcfR[WQcO[iexclJkBKhJUYZYZQR[]OX[Ph H MJF^e[]Z NPQcOaeligQcO H J[PhdNPf[SX H MeJ^eJLhQVUiN H QVUPJ[SX H MeJT^eJUYbnhQRK H [Ph uuml thorn times Oslash yuml aring

$ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde aumlacircaacute aacuteccedilaumlordfegrave -eacute thorn timesOslash yumlauml $ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde auml

aacuteccedilaumlordfegrave eacute thorn timesOslash yumlauml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacuteHj THORN a S jWMJLhZJSaring

eacute thorn timesOslash yumlauml aacute $ thorn yuml aelig thorn timesOslash yumlaelig agrave thorn timesOslash yumlauml a2atildeltszligaumlgtszligagrave thorn timesOslash yuml aagravejszligiumlViumlViumlVszligagrave thorn times Oslash yumlaacute aagravejj atilde auml a ]jMJIacuteJkWKhZJUYZYQR[]OwXiacute[Pha jyacuteaacute a Kf jiexclQcYbn[]ZOslashKj H JU^QsO H MeJaeligYZNSZOslashJordmZaringNPOOeJLhiexclWMQcfRJKNmBQsO[N HH JUO H Qc[]O H [ H MeJ`^QRhZJUb H QR[]O[SX H MeJ`Oe[PhlZaringNPfcopyUPJUb H [PheNPO^rWFJ H MBjY

uumlnyacutenthornnyumll13YSordmY_Fsup2

yenKbrvbarsect =4 acirc $ fmacr[Pcent H NPQsO H MeJg[PJUOeJLhNPfgJkBKhJUYZYZQR[]OXiacute[Ph H MeJauml^JLhQVUiN H QVUPJOtilde[SXocircOcircaagravejaring

ocirc raquo aagravejumlaacute uacuteucirc thorn yuml aduumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn times Oslash yuml uumlgtthorn otilde)yuml d hreguumlgtthorn otilde)yuml eacuteHjaeuml eacutej THORN aacuteccedilaumlordfegrave eacute thorn timesOslash yumlauml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacuteHj THORN acircccedilaumlordfegrave eacute thorn UgraveUcircUacuteUuml yumlauml uacuteucirc thorn yuml aelig thorn UgraveUcircUacuteUuml yumlauml aeuml eacutej THORN aacuteccedilaumlordfegrave -eacute thorn timesOslash yumlauml $ thorn yuml aelig aelig thorn

timesOslash yumlaumlaelig agrave atilde auml acircccedilaumlordfegrave eacute thorn UgraveUcircUacuteUuml yumlauml thorn yuml aelig aelig thorn

UgraveUcircUacuteUuml yumlaumlaelig agrave atilde auml a j^ ^ecirccopyEgraveEacuteshyIacuteIumlETH39shyIgrave8shyIgraveFEgraveEcirc+NtildeFETH3gt+QIgraveETHOEacute3iexclNtildeshyEgrave78QIcircETH9IgraveumlIgrave+EacuteltEumlETHshyETHEacuteshyOacuterIgrave5euml1ONtildeFETH32EacuteltOacuteEacute10wETH9Igrave Ntilde=KETH3gt+ltIgrave=EacuteshyOacuteshyETHEacute1EgraveMJ[P[]NPf[SX H MQsYampKNih H QcY H [aumlbn[]ZOslashK-j H J H MeJ(JkWKhZJUYZYZQc[]Oaelig[SX H MeJuUPJUfc[BbLQ H mUPJUb H [PheumlwWMQcbdMregZaringN`PJUY H MeJUacutebLjehYUPJJUP[]fVUPJOtildeNPYXiacuteNPY H NPYFKEgrave[]YZYZQRcent-fRJ H [WNih^Y(NZaringQcOQCZIacutejFZ[SX H MeJaeligbnhQ H JLhdQR[]Oumlocirc^KO`[Ph^eJLh H [ ^JU^jbnJ H MJyUPJUfR[WbLQ H mwUPJUb H [PhOtilde[SX H MeJaeligNPb H QVUPJbn[]O H []jehQXhZ[]Z H MeJF^eJLhQVUiN H QVUPJ0[SX H MeJNtildebnhQ H JLhQR[]OOeWFJMNUPJ H [5Z N`PJFNiKKEgraveJUNih H MeJUPJUfR[WbLQ H moUPJUb H [PhUacuteQcO H MJTfcNPY HH WNtilde[ ^e[]ZaringNPQcOaQcO H J[PhdNPfcY(centm JkWKhZJUYYZQcO[ H MeJZ NPYcentEgrave[]jO^NihYm QcO H J[PhNPfcY^FMQcYbLNPOaJUNPYZQcfVm centEgraveJauml^e[]OeJTjYZQcO[MJL[PhZJZigravefe-^[]ZaringNPQcOQcO H J[PhNPfcYbLNPOeumlNPfVWNmWYiexclcentEgraveJIacuteJkBKhJUYZYJU^ NPYcentEgrave[]jO^NihYm QcO H J[PhdNPfcY^gtiexcl[WFJUPJLheOXiacute[PhYZQCZOslashKfcQcbLQ H mSe-fcJ H jYbn[]OYZQc^eJLh H MeJaringbLNPYJUYgWMeJLhZJ H MeJUYJOslashfcNPY HH WNtilde[`QcO H J[PhdNPfcYOtildeNihZJJBjNPf H [currenLJLhZ[eOgraveWMQcbMaringMNiKKEgraveJUOYX[PhZOslash[]Y H hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhdQRK H [PhY^S5OH MN H bLNPYJSeNPbLbn[Ph^QsO[ H [ H MeJaeligQcOeJBjNPfcQ H m[SXvNPjbdMOgravemV G bdMOgraveWNih H currenSe H MeJXiacuteNPY H JUY H^eJUbnhJUNPYJa[SXocirc|aagravejOslashQcY [Pcent H NPQcOeJU^ XhZ[]Zecirca jOslashcentm bMe[B[]YZQcOF[beuml aacute ccedilyeacute WMQsbMfRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[aeligJUP[]fcj H Qc[]O JjN H QR[]OOaringaelig Yacuteaagravejaelig agrave aacuteFuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yuml uuml thorn otilde)yuml eacute aacuteccedilaumlordfegrave ETHeacute thorn timesOslash yumlauml aelig thorn timesOslash yumlauml acircccedilaumlordfegrave ETHeacute thorn UgraveUcircUacuteUuml yumlauml aelig thorn UgraveUcircUacuteUuml yumlauml lteacute a macr]jUcircX H MJ^eJUYZbnhQRK H [PhY$^e[TOe[ H ^eJLKEgraveJUO^times[]OregagravetaiacutehZJ[]QR[]OeV4QcO^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhYjeH MeJgiexcl hZJU^jbnJUY H [ H MeJordfXiacute[]fcfR[WQcO[aeligJkWKhZJUYZYQR[]OOaringaelig Yacuteaagravejaelig agrave aacuteigraveuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yumldn reguuml thorn otilde)yuml7 eacutelteacute a ]j

uumlnyacutenthornnyumll13YSordmY_FY

f $amp)(+-)013021+345627893lt=gt9A6CB JaeligbLNPO`O[ H QcbnJ H MN HH MeJtimes^eJLKEgraveJUO^eJUObnJauml[SX H MJIacute^eJUYZbnhdQRK H [PhY[]OwagraveeEgraveNPO^aY[ []OH MeJiexclbLjehYUPJJUP[]fcj H QR[]OOeQcO^jbnJUY0NP^^Q H QR[]ONPf H JLhlZaringYFQcO H MeJiexclJUP[]fcj H QR[]O JjN H QR[]O[SX H MJFNPb H QVUPJ(bn[]O H []jeh^SMeJNP^^Q H QR[]ONPf H JLhZaringYQX[]jO^IacuteQcOoa macr]jbLNPOOe[ H hZJUNP^QsfVmcentEgraveJtimes[Pcent H NPQcOeJU^ WMJUO H MeJOslash^mBONSZaringQcbLNPfampYZbMJZOslashJaringQcYOtildeQcO H hZ[W^jbnJU^eumlNX H JLh H MeJOslashbn[]ZaeligVKj H N H QR[]Oa[SX H MeJaelig^eJLhQVUiN H QVUPJaeligjYZQcO[o0jfcJLhVA9N[PhNPOF[PJIacuteJBjN H QR[]OY^MjYe-Q H QcY[SX=KhQZaringJOeJUbnJUYZYZQ H m H [TQcO H hZ[B^jbnJ H MeJ^mWONSZaringQsbLNPfeYZbMeJZaringJiexclQcO H [ H MeJbnhQ H JLhQR[]OQ H YZJUfVXiexclQcO[Phd^eJLh H [JUNPYZQsfVmsup1[PJ H H MeJUYJaNP^^Q H QR[]ONPf H JLhlZ Y QcO bLNPYJa[SXhJ[]QR[]OWV^eJLKEgraveJUO^JUO H ^JUYZbnhQRK H [PhdY^MNPO`BY H [ H MeJUYJeumlNP^^Q H QR[]ONPf H JLhlZaringYeWFJ`JUOYZjehZJH MeJordfXqNPY H JUY H JUP[]fcj H QR[]O [SX H MeJIacutebLjehYUPJ H [WNih^YiexclNZaringQcOQZIacutejZ [SX H MeJTbnhdQ H JLhQR[]OO^ JeumlbLNPO NPfcY[hZJZaringNihY` H MN H H MeJUPJUfR[BbLQ H m[SX H MeJ bn[]O H []jhQsOa macr]j bLNPOcentEgraveJ K=[]YQ H QVUPJ[PharingOeJ[]N H QVUPJS^|MQcYaeligNPO QcO H JLhZJUY H QcO[eumlKh[PK=JLh H mOacute[SXiexclhZJ[]QR[]OWVcent-NPYJU^NPb H QVUPJ bn[]O H []jehY^ q O H MeJ bn[]O H hNihYm H [ centEgrave[]jO^NihYmVcentNPYJU^7NPb H QVUPJ bn[]O H []jehdYehZJ[]Qc[]OWVcentNPYJU^7NPb H QVUPJbn[]O H []jehYOslashNPfcfR[WYZ[]ZOslashJKNih H Ytimes[SX H MeJ bLjehYUPJ H [YZMehQsO`WMQcfRJ[ H MeJLhY(JkWKNPO^O^FMjY H MeJaumlQcOQ H QsNPfcQVcurrenUN H QR[]O QcYfRJUYYbn[]OY H hNPQsOeJU^O^^ macr^iexclEacuteltIacuteETHNtildeFETHEacuteshyOacute Eacute10wETH9IgraveumlIgravesup1+shyEacuteltEumlETHETH3EacuteshyOacuterIgrave5euml1ONtildeFETH32EacuteltOacute0EacuteltEgravexIcircEacuteshyIacute5IgraveIgrave2shyNtildeshyIacuteEumlOgraveIgraveIcirclaquoEacute10C8ltIgraveIcircd=KEgrave(ETHEacuteltEgraveIcircMJu[P[]NPf[SX H MQsY$KNih H QsY H [timesbn[]ZaringKj H J H MeJiexclJUP[]fcj H QR[]O JjN H QR[]Oaring[SX H MeJNPb H QVUPJbn[]O H []jehOcircXiacute[Ph0Y[]ZOslashJ(JkeNSZOslashKfcJUY$[SX-hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhY^SgJ H jY H N`PJY[]ZaringJT^eJUYZbnhQcK H [PhY(^eJLKEgraveJUO^QsO[aelig[]O H MeJyZOslashJUNPOBSOtimesOslash [Phiexcl[]O H MeJgUiNihQcNPObnJjuFtimesOslash [SXH MeJOtildeJUP[]fUBQcOF[OslashhZJ[]QR[]OwOumlcopytimesOslashaagravejaringEFFG FFH SOtimesOslashKaagravejumlaacute iacute $ w$ thorn yuml Otilde atilde auml WiexclQ H M icirctimesOslashaacute w$ thorn yuml atilde aumlu centtimes Oslash aagravejsup1aacute iacute $ w$ thorn yuml aOtilde SOtimes OslashKaagravejj cent atilde auml^ macr^f^iumlordfcentltshyltAringordfregethIumlIgravecurrenRAringcentmicroETHfrac34IumlltlaquomicroRreglaquoNOacute]currenRlaquosectsup1jCcedilR RAringordfregL Rlaquo3shy JTbdMe[B[]YJ H MeJgXiacute[]fcfR[WQcO[OslashYJ H [SX^eJUYbnhQRK H [PhYaring

uuml thorn UgraveUcircUacuteUuml yuml ^e[BJUYOe[ H ^eJLKEgraveJUO^[]Owagraveuuml thorn timesOslash yuml aacutecntildeaLuOcenttimes Oslash j a zSjWMJLhZJampntildeaOgravejQsYNOslashKEgrave[]YZQ H QVUPJiexclXqjOb H QR[]O[SX$bLfcNPYYograve aj^MQcYiexclUPJUfR[WbLQ H mumlUPJUb H [PhOslashQcYaumlbn[]ZaringKj H JU^centmeumlhZJLKfcNPbLQsO[ H MeJ H JLhZaringYauml[SXga jgWQ H MH MeJUQch$JkBKhJUYZYZQR[]OY^ J hY H JkWKhZJUYZY H MeJ^eJUYZbnhQcK H [Ph|uuml thorn timesOslash yuml NPYyNTbn[]ZTcentQsON H QR[]O[SXamp^e[]ZaringNPQcOY(QcO H J[PhdNPfcYaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacutemiddot thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn timesOslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejjaacutecntildeoacute agrave thorn timesOslash yuml aagravejagrave thorn timesOslash yumlcent aagravejfocirc a i]j

uumlnyacutenthornnyumll13YSordmY_FPa

yenKbrvbarsect =4 acirc $ fzWMJLhZJSaring EFFG FFH agrave thorn timesOslash yuml aagravejpoundaacute w$ thorn yuml aOtildegta2atildeltszligaumlj SOtimes OslashaagravejjUcirccent atilde aumlagrave thorn timesOslash yumlcent aagravejpoundaacute w$ thorn yuml atilde auml a h]j O^ H MBjYaring aelig thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacuteacircaOtildeKa2atildeshyszligaumlFj S timesOslash aagravejjUcirccentaelig thorn timesOslash yumlcent a2atildeshyszligaumlKszligYagravej|aacute f ad s j Y5XiacuteNihaumlNPY H MeJOslash^e[]Z NPQcO`QsO H J[PhNPfsYUacute[SX H MeJOslash^eJLhQVUiN H QVUPJaelig[SX H MJXqjOb H QR[]OY aelig thorn timesOslash yumlaumlNihZJaumlbn[]ObnJLhOeJU^OeFWFJauml[Pcent H NPQsOOaringEFFFG FFFH w5$ thorn yuml frac14ltotildeouml $_divideoslashfrac14 atilde aumlordmaacute frac14ltugrave $frac14 w$ thorn yuml aOtildeKa2atildeshyszligaumlFj SOtimesOslashKaagravejj atilde aumlaacute sw5$ thorn yuml frac14ltotilde ouml $_divideacircfrac14 atilde aumlordmaacute s adfjMJ H JLhZaringY eacute thorn timesOslash yumlauml NPfcY[aringMNUPJ H [ cent=Jaumlbn[]ZaringKj H JU^OeNPO^tWNtildeJg[PJ H aringEFFFG FFFH eacute thorn

timesOslash yuml aacute w$ thorn yuml uacute ouml $_divideacircntilde raquo7ucirc uacute ouml $_divideoslashuacute ouml $_divideacircyacuteuuml atilde aumlaacutecntilde raquo aLu centtimesOslash jeacute thorn timesOslash yumlcent aacute w$ thorn yumlBthorn uacute ouml $_divideoslashthorn uacute ouml $_divideacirc yuml acirc ntilde raquo ucirc uacute ouml $_divideoslashuacute ouml $_divideacirc uuml atilde aumlregaacute u centtimes Oslash ntilde raquo aLu centtimes Oslash j

G QsObnJ H MeJOslash^e[]Z NPQcO`QsO H J[PhNPfsYiexcl[SX frac14ltotildeouml $ordfdivideoslashfrac14 NPO^ frac14ltotildeouml $_divideacircfrac14 NihZJaeligJBjNPf H [currenLJLhZ[poundadfjeWFJOtildebLNPO ^QRhZJUb H fVm bn[]ZOslashKj H J H MeJiexclUPJUfR[WbLQ H mregUPJUb H [Ph[SX H MeJOtildeNPb H QVUPJTbn[]O H []jehuXiacutehZ[]Za macr]jNPO^WNtildeJyO^Oaringaelig Yacuteaagravejaelig agrave aacuteuumlgtthorn timesOslash yuml uumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn otilde)yuml dacute uumlgtthorn otilde)yuml eacutentilde raquo aLu centtimes Oslash jaaOtilde SOtimesOslashj cent u centtimesOslash jcedilQeacute ad j5Otad jeOgraveWFJbLNPOaringhJZaringNihY` H MeJ(KhZJUYJUObnJ[SX H MJNP^^Q H QR[]ONPf H JLhlZntilde raquo aLuOcenttimesOslash jaaOtilde SOtimesOslashj cent u centtimesOslash jeacuteacirc^^ macr^ ^iumlordfcentltshyltAringordfregethIumlIgravecurrenRAringcentmicroETHfrac34IumlltlaquomicroRreglaquoNOacute]currenRlaquosectsup1jpoundn Rlaquo JTbdMe[B[]YJ H MeJgXiacute[]fcfR[WQcO[OslashYJ H [SX^eJUYbnhQRK H [PhYaring uuml thorn UgraveUcircUacuteUuml yuml ^e[BJUYOe[ H ^eJLKEgraveJUO^[]Owagraveuuml thorn timesOslash yuml aacutecntildeaOtilde S timesOslash aagravejj adS]j

uumlnyacutenthornnyumll13YSordmY_FPo

fi $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJampntildeaOgravejQsYNOslashKEgrave[]YZQ H QVUPJiexclXqjOb H QR[]O[SX$bLfcNPYYograve aj^ YKhZJUWQR[]jYZfVmSe H MeJlaquoUPJUfR[WbLQ H mfrac34UPJUb H [PhTQcYbn[]ZOslashKj H JU^eumlcentmhZJLKfsNPbLQcO[ H MJ H JLhZaringY[SXua jcopyWQ H M H MeJUQRh(JkWKhZJUYZYZQc[]OY^FMeJauml^JUYZbnhQRK H [Ph uuml thorn timesOslash yuml QcY(JkWKhZJUYZYJU^centmKaringuuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacutei thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn times Oslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejjaacutentildeoacuteOtilde agrave thorn timesOslash yuml aagravejagrave thorn timesOslash yumlcent aagravejfocirc adj

WMJLhZJSaring EFFG FFH agrave thorn timesOslash yuml aagravejpoundaacute w5$ thorn yuml Otildegta2atildeltszligaumlj atilde aumlagrave thorn timesOslash yumlcent aagravejpoundaacute w5$ thorn yuml atilde auml adSmacr]j O^ Y[aring aelig thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejOcircaacuteegraveOtildegta2atildeltszligaumljaelig thorn timesOslash yumlcent a2atildeshyszligaumlKszligYagravejOcircaacute f adS]jG QsObnJ H MeJordfXiacutejOb H QR[]OY aelig thorn timesOslash yuml NPO^ aelig thorn timesOslash yumlcent ^e[aringO[ H ^eJLKEgraveJUO^[]OtagraveeFWFJTMNUPJSaringEFFFG FFFH w$ thorn yuml frac14ltotilde5ouml $ordfdivideoslashfrac14 atilde aumlregaacute s

w$ thorn yuml frac14ltotilde5ouml $ordfdivideacircfrac14 atilde aumlregaacute s ad]zSjMJ H JLhZaringY eacute thorn timesOslash yumlauml NihZJ H MJUObn[]ZOslashKj H JU^eNPO^WFJauml[Pcent H NPQcOOaringEFFFG FFFH eacute thorn

timesOslash yuml aacute w$ thorn yuml thorn uacute ouml $ordfdivideacircntilde raquo7ucirc Otilde uacute ouml $ordfdivideoslashuacute ouml $ordfdivideacircyacuteuuml atilde aumlaacute thorn iacute $ w$ thorn yuml ntilde raquo aOtilde SOtimesOslashj atilde aumleacute thorn timesOslash yumlcent aacute w$ thorn yuml uacute ouml $ordfdivideoslashthorn uacute ouml $_divideacirc yuml acirc ntilde raquo ucirc Otilde uacute ouml $ordfdivideoslashuacute ouml $ordfdivideacirc uuml atilde aumlordmaacute ugrave $iacute $ w$ thorn yuml ntilde raquo aOtilde SOtimesOslashj atilde auml JUacutebLNPO H MeJUObn[]ZOslashKj H JUacute^QRhZJUb H fm H MJ_UPJUfR[WbLQ H mUPJUb H [Ph[SX H MeJUacuteNPb H QVUPJOtildebn[]O H []jhXiacutehZ[]Zigravea macr]j(NPO^WNtildeJyO^Oaringaelig Yacuteaagravejaelig agrave aacuteuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yumldacute uuml thorn otilde)yuml eacute aOtilde SOtimesOslashjicircFtimesOslash $ thorn yuml ntilderaquo)aOtilde SOtimesOslashjmiddotQeacute adSi]j

5O H MeJtimesKNih H QsbLjfcNihiexclbLNPYZJIacute[SXIcircntildeaOgravejuaacuteOslashScenteKWFJtimesMNUPJnntilde raquo aOgravejcopyaacute NPO^ H MeJLhZJXiacute[PhZJSeH MeJiexclNP^^Q H QR[]ONPf H JLhlZaringYebn[]ZaringQcO[gXiacutehZ[]Z H MeJ UiNihQcN H QR[]O [SX H MeJiexcl^eJUYbnhQRK H [PhYOcircWQ H MagraveeNihJJjNPf H [gcurrenLJLhZ[^[WNtildeJUPJLheWQsOordmZOslash[]Y H bLNPYZJUYe H MQsYyNP^^Q H Qc[]ONPf H JLhlZoslashQsYyOe[ H

uumlnyacutenthornnyumll13YSordmY_FPy

yenKbrvbarsect =4 acirc $ fhcurrenLJLhZ[^ not [PhaeligJkeNSZOslashKfRJSeampQVXUgraventildea]jaacute yuml Wiexcl cent eshyWiexclQ H MN`KEgrave[]YZQ H QVUPJ bn[]OY H NPO H eQWFJMNUPJSaring

ccedil aacuteFuumlgtthorn timesOslash yuml uumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn otilde)yuml uumlgtthorn otilde)yuml eacute aOtilde SOtimesOslashjicircFtimesOslash $ thorn yuml aOtilde SOtimesOslashj IcircAumlaOtilde SOtimesOslashj cent adSh]j^ ^~IacuteFEumlIgraveFIacute5IgraveFOacuteETHNtildeFETHEacuteshyOacuteAgraven13ETH9 ETH9IgraveumlEumlIgravesup1+ltIgraveFEumltIcircIgraveFETHbIacute5IgraveFETH9shyEacute18 YXqNih0NPY H MeJOBjFZOslashJLhdQcbLNPfeQZOslashKfcJZOslashJUO H N H Qc[]OtimesQsYybn[]ObnJLhOeJU^eSWNtildeJbLNPOZOslash[W^eJUf H MeJNPb H QVUPJaumlbn[]O H []jeh_WQ H MNPOJkBK-fcQcbLQ H KNihNSZOslashJ H JLhdQVcurrenUN H QR[]ObaN[PhNPO[]QcNPOXiacute[PhlZtimesjfcN~VH QR[]OKjaelig[Ph NPO QCZOslashKfcQcbLQ H []OeJraNtildejfRJLhQsNPO Xiacute[PhlZIacutejfcN H QR[]Ogtj^ G JLJra G J H MQcNPOOe5fhSh s jNPO^egraveaJUfcQcO[PJ HH J NPO^ _a[]O H N[]ON H e sSs fjX[PhaeligNPOQcO H JLhZJUY H QcO[eumlbn[]ZOslashKNihdQcY[]OcentEgraveJ H WFJLJUO H MeJ H WNtilde[ZOslashJ H M[B^Y^ iexclO[ H MeJLhOtildeQcO H JLhJUY H QcO[aringhJUBQRJW[]O H MeJtimes^Q=JLhJUO HZOslashJ H M[B^Y[SX$NPb H QVUPJIacutebn[]O H []jehQcY(Kh[PK=[]YZJU^ QcOpoundaw_[]O H N[]ON H J H NPfd^Ve sSs fj^iexclJLhZJSeWFJaumljYJ H MeJaumlfRJUPJUfYZJ H ZOslashJ H Me[W^ NiKKhZ[]NPbdM KhZ[PKEgrave[]YJU^centm q YMeJLhNPO^G J H MQcNPOa q YZMJLh NPO^ G J H MQcNPOe fhSiSi]j centj H hJ[]QR[]OWVcentNPYJU^ NPb H QVUPJeumlbn[]O H []jehdYZaringNmNPfcYZ[ centEgraveJQZOslashKfcJZOslashJUO H JU^7centmjYQcO[`XNtildeV4YK-fcQcOeJUYXiacute[PhaeligNPOJkWKfcQsbLQ H K-NihNSZOslashJnVH JLhQcurrenUN H QR[]O ayhZJUbLQc[]Y[ NPO^XNihfcNPj^Oe sSs fj^shyMJ`PJmeumlQc^eJUN [SX H MeJOslashfRJUPJUfampYJ HZOslashJ H M[B^QsY H [ QcO H hZ[W^jbnJaumlNPO`NPjkWQsfcQcNihYmXiacutejOb H QR[]O l a2atildeltszligaumlgtszligYagravejYZjbdM H MN H YacuteaagravejQcY H MJtcurrenLJLhZ[OacutefRJUPJUfYJ H [SX l ^OcircMJXiacutejOb H QR[]O l QsYaelig[SX H JUO bMe[]YJUO H [centEgraveJ H MeJYZQ[]OeJU^ ^QcY H NPObnJordfXiacutejOb H QR[]O[SXQYacuteaagraveje-NPO^ QsY H MeJUObdMNihNPb H JLhQVcurrenLJU^acentmKaring

YacuteaagravejOcircaacute a2atildeltszligaumljPO l a2atildeshyszligaumlKszligYagravejaacute s a2 s jMQcYOcirc0jfRJLhQcNPOordmXiacute[PhlZtimesjfcN H QR[]O KhZJUYZJUO H YFYJUPJLhNPfEgraveNP^UiNPO H N[PJUYga G J H MQcNPOOeKfhShS]j^not QRhY H fVmSe H MeJabLjehYUPJ l ZaringNmcenthJUN`[PhoZOslashJLhY[PJNPY H MJXiacutejOb H QR[]O l JUP[]fUPJUYeNPO^ H [PK=[]fc[S[]QcbLNPfbdMNPO[PJUYFNihZJ H MBjY$JUNPYZQsfVmOslashMNPO^fRJU^^ G JUbn[]O^fVmSe H MJJUP[]fVUWQcO[XqjOb H QR[]O l a2atildeshyszligaumlKszligYagravejNPfVWNmWY(hZJZaringNPQcOY(NlaquoXiacutejOb H QR[]O NPfcfR[WQcO[timesJltz bLQRJUO H OBjFZOslashJLhVQcbLNPfFYZbdMeJZOslashJUY^OcircMQRh^fVmSe H MeJ[PJL[]ZOslashJ H hQcb KhZ[PKEgraveJLh H QcJUYT[SX H MeJ bLjehYUPJSe$fcQV`PJ H MeJbLjehlU~N H jehJ NPO^ H MeJOslashOe[PhlZ NPfshyUPJUb H [PhordfJUfs^eacute e=bLNPO centEgraveJIacuteJUY H QZaringN H JU^euml^QRhZJUb H fmXiacutehZ[]Z H MeJTfcJUPJUfgYJ H XqjOb H QR[]Oaring aacute V ucirc l l uuml NPO^ eacuteecircaacute l l a2FfjMJJUP[]fsj H QR[]O JBjN H QR[]O H MeJUO centEgraveJUbn[]ZOslashJUYaringaelig l aagravejaelig agrave aacuteegraveccedilacute l a2 jMJregUPJUfR[WbLQ H msup1XiacutejOb H QR[]OxccedilEQcYIacutebn[]ZaringKj H JU^7[]OfVm[]O H MeJbLjehYUPJYacuteaagravejaumlcent-j H WFJbLNPO Jk H JUO^ Q H YFJkBKhZJUYZYZQR[]O H [ H MeJiexclWMe[]fRJUacuteQZaringN[PJOtilde^e[]Z NPQcOoOumlordf^[OslashQZOslashKfRJZaringJUO HH MeJIacutefRJUPJUf9YJ H ZOslashJ H Me[W^OeY[]fsj H QR[]OYuZtimesjY H centEgraveJgXiacute[]jO^ H [ bLQRhbLjZyUPJUO H Kh[PcentfRJZaringY

uumlnyacutenthornnyumll13YSordmY_FP

s $amp)(+-)013021+345627893lt=gt9A6CBbn[]ZaringQsO[ Xh[]Z H MeJpoundXqNPb HH MN H`H MeJYZQV[]OeJU^ ^QcY H NPObnJumlXqjOb H Qc[]O l QcYaOe[ H NY[]fsj H QR[]O[SX H MeJyiexcl a2 jeEgraveYJLJa []ZOslashJUYNPO^ not NPjF[PJLhNPYe sSsSs jyacuteXiacute[Phiexcl^J H NPQcfcY^5Oaelig[]jehWF[PhY`gte H MJuXiacutejOb H QR[]O l QcYamphZJUQsOQ H QcNPfcQcurrenLJU^TY[ H MN H Q H hZJZaringNPQcOYampNOtilde^QsY H NPObnJXqjOb H QR[]OenYZJLJ5aq jecentEgraveJLh H NPO^gcOtilde[PhdOeKhZ[PcentY H e sSs fJLcenthZJUjFUPJSe sSsSs jOXiacute[Ph^J H NPQcfcY[]O H MJOtildehZJUQcOQ H QsNPfcQVcurrenUN H QR[]O JBjN H QR[]OO^5Oeuml[Ph^eJLh H [QCZOslashKhZ[UPJaringOjFZaringJLhQcbLNPfJltz bLQRJUObmSeOWFJaringbn[]ZOslashKj H J H MeJOslashJjN H QR[]O[]O NIacuteONihhZ[Wcent-NPO^aringJUObLfc[]YZQcO[ H MJiexclfRJUPJUf s [SX H MeJUacutefRJUPJUf-YJ H XqjOb H Qc[]OO^ JUacuteNPfcY[jYZJZtimesjf H QRhZJUYZ[]fcj H QR[]O H JUbdMOQBjeJUYcentmZaringN`BQsO[ H MeJFNPb H QVUPJ(bn[]O H []jh$JUP[]fVUPJcopyhY H[]ONOslashfc[W hZJUYZ[]fcj H QR[]O QZ N[PJS^FMeJordfONPfbn[]O H []jeh[Pcent H NPQcOeJU^Xiacute[Ph H MQcYhJU^jbnJU^QZ N[PJaumlQcY H MeJUOjYJU^ NPYNPOQsOQ H QcNPfEgravebLjehYUPJordfXiacute[Ph H MJOtildehZJUNPfgYZQVcurrenLJaumlQCZaringN[PJS^

EparaacuteAgravegtmicrosup1acuteIKJcedilJT2MgtI MraquowMgtmicrosup1MAgravegtacuteIltacuteMgtPltAtilde iquest acuteAgravegtT2MKIshyAtildeAcirccedilAtildeacuteNicircMgtI cedilAEligMgtmicroOcircacuteOgraveJTCJT13MKI sup2OcircacuteJordfsacuteacuteI Jfrac14ltacutegcedilFLT2cedilIshyROgraveacuteAtilderaquoAMLBqoLacute13AtildeR]cedilsup32acute GmicrobcedilAgraveacuteAtilde5O H MQcYUacuteYJUb H QR[]OOeOWFJOslashKhZ[PKEgrave[]YJaeligY[]ZOslashJOslashhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhY H [YJ[iVZOslashJUO H M[]ZOslash[S[PJUOeJL[]jYiexclhZJ[]QR[]OYiexcl[]Ofrac34[PhZJmBYbLNPfRJIacuteQZ N[PJUY^gtMJUYJIacute^eJUYbnhQRK H [PhYiexclNihZJcentNPYZJU^[]O H MJZaringQcOQZaringQVcurrenUN H QR[]O [SX H MeJU~NihdQcNPObnJUYauml[SX H MJ H WF[`bn[]OYZQc^eJLhZJU^OacutehZJnV[]QR[]OY^ 5O H MJ7YJUbn[]O^ K-Nih H e H MJQZOslashKEgrave[Ph H NPObnJOacute[SX H MeJNP^^Q H QR[]ONPf H JLhZaringYebn[]ZaringQsO[XiacutehZ[]Z H MeJiexclU~NihdQcN H QR[]O [SX H MeJUacute^eJUYZbnhQcK H [PhYWQ H M H MeJiexclJUP[]fUBQcOF[IacutehZJ[]Qc[]OYeQcY9MQV[]MfcQ[]M H JU^O^ G QCZOslashKfRJJkWNSZaringKfRJUY9YMe[W H MeJ0QZOslashKEgrave[Ph H NPObnJ$[SX H MeJUYJ0NP^^Q H QR[]ONPfH JLhlZ Y H [ NPbMQRJUPJ H MeJOtildeJkWKEgraveJUb H JU^aYJ[]ZaringJUO H N H QR[]O^^f^laquoIgraveIcirc=KEgrave(FETHOEacuteltEgraveIcircEcircgtNtildeltIcircIgrave8 EacuteshyOacute ETH9Igravek+NtildeshyEgrave13NtildeshyOacute=KIgraveC0EacuteshyEgraveh4ltEgraveOIgravesup1QIcirc=NtildeltEumlOgraveIgrave2Iacute Ntilde4ltIgraveIcircMJQcO H JUOYZQ H mregXiacute[Phu[PhZJmWYZbLNPfRJaumlQZ N[PJUY(QcYhZJLKhZJUYZJUO H JU^centm NlaquoXqjOb H QR[]OOtilderegaringOgraveOumlOtilde 13ordfcentwntilde Otilde 13laquo^ JaKhZ[PKEgrave[]YJ H [bZaringQcOQZaringQVcurrenLJ H MeJU~NihdQcNPObnJUYOslash[SX H MeJ H WF[bn[]OYZQc^WVJLhZJU^ Me[]Zaring[S[PJUOeJL[]jY hZJ[]Qc[]OY QcO [Ph^eJLh H [YJ[]ZOslashJUO H H MeJZ^uMJXiacute[]fcfR[WQcO[^eJUYbnhQRK H [PhY(NihJaumlYZj[S[PJUY H JU^OaringEFG FH uuml thorn UgraveUacuteUuml yuml aacutecntildeaLuOcentUgraveUacuteUuml juuml thorn times Oslash yuml aacutecntildeaLuOcenttimes Oslash juuml thorn otilde)yuml aacutecb a2Ograve]jWMJLhZJjntildea]jQcYNOslashKEgrave[]YZQ H QVUPJordfXiacutejOb H QR[]O [SX$bLfcNPYZYEacuteograve aOtilde 13yj(NPO^kb`NOslashKEgrave[]YZQ H QUPJaumlbn[]OWVY H NPO H ^MJTbn[]ZOslashKj H N H Qc[]O[SX H MeJUPJUfR[BbLQ H mUPJUb H [PhaumlQcY^JU^jbnJU^tXiacutehZ[]Z H MeJIacutebn[]ZOslashK-j H N~VH QR[]O`[SX H MeJaelig^eJLhQVUiN H QVUPJIacute[SX H MeJtimesbnhdQ H JLhQR[]Opoundocirc7^eJUPJUfR[PKEgraveJU^ QcO G JUb^^ macr^feWMQsbMfRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[aeligJUP[]fcj H Qc[]O JjN H QR[]OOaringaelig Yacuteaagravejaelig agrave aacuteethntildeaLu centtimesOslash j ntildeaLu centUgraveUcircUacuteUuml jb ntilderaquo)aLu centtimesOslash jaaOtilde S timesOslash j cent u centtimesOslash j ntilde raquo aLu centUgraveUcircUacuteUuml jaaOtilde SUgraveUcircUacuteUumlj cent u centUgraveUacuteUuml jIcirc13eacute a2Sj

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ fMJiexclYZQcOF[]fRJiexclK-NihNSZOslashJ H JLhcopyWNtildeJOtildeOeJLJU^ H [aringNP^~ZjY H QcY H MeJUacuteYYZOslash[B[ H MQcO[timesKNihNSZOslashJ H JLhb^5OregXqNPb H e H MeJ X [W ethb MNPY H MeJiexclKhZ[PKEgraveJLh H QRJUYNtilde[SXYYZOslash[B[ H MQcOF[IacutecentEgraveJUbLNPjYJOtildeQ H ZOslash[UPJUYH MeJUacutebLjehYUPJUacuteQcO H MeJUacute^QRhZJUb H QR[]O [SX9Q H YfRJUOF[ H MregXqjOb H QR[]ONPfQa G Qs^^QBQeJ H NPfd^VeOfhShS]j^^ ^~IacuteEacuteltEgraveETHOgraveNtildeltOacute=KIgravefrac34Eacute10frac34ETH9Igrave Ntilde8182ETHEacuteshyOacuteNtildeshyEumlETHIgraveFEgraveOIacute5Icirc5O[Ph^JLh H [7JU~NPfcjN H J H MeJ QZOslashKEgrave[Ph H NPObnJ`[SX H MeJ`NP^^Q H QR[]ONPf H JLhlZaringYX[Ph H MeJYJ[]ZaringJUO H N H QR[]OeuWNtildeJpoundZaringN`PJ H MJeumlNPb H QUPJbn[]O H []jehaJUP[]fVUPJ H MehZ[]j[]M H MJ iexcla2SjeQsObLfcj^QsO[ H MeJaumlNP^^Q H QR[]ONPf H JLhlZaringY^ q O H MeJUacute[ H MeJLhMNPO^OeWNtildeJaumlNPfcYZ[ZaringN`PJQ H JUP[]fUPJfrac34WQ H M H MeJwXiacute[]fcfR[WQcO[ WhZ[]OF[JUP[]fcj H QR[]OJjN H Qc[]O H MN H ^e[JUY Oe[ HQcObLfcj^eJ H MeJaumlNP^^Q H QR[]ONPf H JLhlZaringYaringaelig Yacuteaagravejaelig agrave aacuteethntildeaLu centtimesOslash j ntildeaLu centUgraveUcircUacuteUuml j`b Qeacute iuml a2Ogravemacr]jnot [Ph H MeJOtildeJkWKEgraveJLhQZOslashJUO H YeWFJ H N`PJntildeaOgravejOcircaacute ILK KafcediliexclOgravejWMQsbM[]QVUPJUYntilde raquo aOgravejaacutefdOafcedil]j(NPO^ H MeJgUiNPfcjeJOtilde[SX H MeJaumlKNihdNSZOslashJ H JLhEacutebaQcY(YJ HH [frac34f s ^OcirckBKEgraveJLhQCZOslashJUO H Y NihZJ KEgraveJLhYX[PhZOslashJU^ []O NYmWO H MJ H Qcb`QCZaringN[PJumlZaringNP^eJeumljeK [SXTNPO

Me[]Zaring[S[PJUOeJL[]jYYYBjNihZJ[SX9QcO H JUOYZQ H mwf s []O NIacutecentNPbl`[PhZ[]jO^ [SX9QcO H JUOYZQ H mtf s ^ []NPjYZYZQsNPOOe[]QcYJUacute[SXUiNihQcNPObnJ s QcY(NP^^eJU^ H [ H MQcY(YmWO H MJ H QcbOtildeQZaringN[PJS^MeJOtildeJUP[]fcj H QR[]Oa[SX H MeJTNPb H QVUPJtimesbn[]O H []jehUacute^ehQUPJUOcentmpounda2SjQcYu[]QVUPJUO`QcO not QV[^ WMQcfRJ H MeJ[]OeJ`[Pcent H NPQcOeJU^ jYZQcO[ a2Ogravemacr]j QcYordm[]QUPJUO QcO not QV[^ ^ J bLNPO hZJZaringNihY`H MN H WMeJUO H MeJoiexclQsObLfcj^eJUY H MJ NP^^Q H QR[]ONPf H JLhZaringYe H MJ YYBjNihZJ QcYgWFJUfcfYJ[]ZaringJUO H JU^acirca not QV[^ ^bjeuWMeJLhJUNPYWiexclMeJUO H MeJ |iexclD^e[BJUY Oe[ H QsObLfcj^eJ H MeJUYJNP^^Q H QR[]ONPf H JLhZaringYwWFJ7[Pcent H NPQcO N bLQRhbLfcJOacuteQcOY H JUNP^ [SX H MeJ7JkBKEgraveJUb H JU^YYBjNihZJa not QV[^ ^bj^MeJUYJhZJUYZjf H YNtildebLNPOcentEgraveJcentEgraveJ HH JLh(jO^eJLhY H [[W^WMQcfRJNPONPfmcurrenUQcOF[ H MeJiexclUPJUfR[WbLQ H mUPJUb H [PhYUacute[SXNtildeJUNPbMJUP[]fsj H QR[]O JjN H QR[]OO^ Jaringbn[]ZOslashKNihZJ H MeJ H WF[ JUP[]fcj H QR[]OYiexcl[SXH MeJlaquoUPJUfR[WbLQ H mwUPJUb H [PhYauml^jehQcO[ H MeJaeligKhZ[PKN[]N H Qc[]Oeuml[SX H MeJOslashbLjehYUPJwa2WiexclQ H Me[]j HH MeJcentEgrave[]jO^NihYmVcent-NPYJU^ H JLhlZb j^MeJ(JUP[]fcj H Qc[]OOslash[SX H MeJNSZOslashKfsQ H j^eJ[SX H MeJyacuteUPJUfR[Wb|VQ H mregUPJUb H [Ph[SXQ|iexcla2SjFQsY[]QUPJUO QcO not Q[aqYj^ ^ ^OecurrenJSe Xfrac34]eWMQsfRJ H MeJOtildeNSZOslashK-fcQ H j^eJ[SX H MeJUPJUfR[WbLQ H mwUPJUb H [PhOtilde[SX||iexclacirca2Ogravemacr]jiexclQcY []QUPJUO`QcO not QV[aqYj^ ^ ^OecurrenJSe Xfrac34]^ JOslashbLNPO[PcentYZJLhYUPJ H MN HaringH MeJUPJUfc[BbLQ H msup1WiexclQ H Me[]j HaeligH MeJNP^^Q H QR[]ONPf H JLhlZaringY QcYaeligNbn[]OY H NPO HWMJLhZJ [PcentUWQR[]jYfVm H MJaQZaringN[PJfrac34XJUN H jehJUY ^e[OacuteO[ H NiKKEgraveJUNih^ q O H MeJabn[]O H hNihYmH MeJaumlQCZaringN[PJordfXJUN H jhZJUYuWFJUfcfNiKKEgraveJUNihQcO H MeJordfUPJUfR[WbLQ H m QcObLfcj^QcOF[ H MeJaumlNP^^Q H QR[]ONPfH JLhlZ Yya not QV[aqYj^ ^ ^OecurrenJSe Xfrac34jiexclNPO^ Y[ H MeJaumlYljNihJTbLNPO centEgraveJordfWNtildeJUfsfYJ[]ZOslashJUO H JU^O^MeJyKhZJUWQR[]jYEgravehJUYZjf H YgYMe[W H MN H Q H QcY[SXeKhQCZOslashJ$OeJUbnJUYZYZQ H m H [ H N`PJQcO H [NPb|Vbn[]jO H0H MJNP^^Q H QR[]ONPf H JLhZaringYeWbn[]ZaringQcO[XhZ[]Z hZJ[]QR[]OeV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhYeQcO[Phd^eJLh H [ hZJUNPbdMaN H hdjeJgZaringQcOQCZIacutejFZ [SX H MeJaumlbnhQ H JLhdQR[]OO^

uumlnyacutenthornnyumll13YSordmY_F

S $amp)(+-)013021+345627893lt=gt9A6CBEIumlparaacuteAgravegtmicrosup1acuteIKJcedilJT2MgtI MraquoordfAEligMgtsup32MLwMKmicrobMgtAgraveacuteIshyacuteMgtPltAtilde iquest acuteAgraveKT13MKIshyAtildeAcirclaquocedilFAtildeacuteNicircMKIJfrac14ltacutepoundAEligMAringcedilFLT2cedilIltR]acuteHcedilJLTOcircfrac12sup3T13ROgravecedilJT2MgtI JMAgraverltcedilFR]acuteacuteJacuteR]JT2MgtIicircT2ItT2NQacuteM paraacutePshyacuteIltR]acuteAtildeMQcY0K-Nih H ^eJUNPfcYWQ H M H MeJOtildeYJ[]ZOslashJUO H N H QR[]O [SXMe[]ZOslash[S[PJUOeJL[]jY(hZJ[]QR[]OYQcOZtimesjfuVH QcYZK=JUb H hdNPfQZaringN[PJUY^ YNPOaJkWNSZaringKfRJSeWFJIacuteYZMe[W H MN HiexclH MeJTbn[UiNihQcNPObnJZaringN H hQVkbLNPOacent=JIacuteNUPJLhYm KEgrave[WFJLhYXqjf H [B[]f H [ YJ[]ZOslashJUO H Me[]Zaring[S[PJUOeJL[]jYbn[]fR[PhiexclhJ[]QR[]OY^F5OXqNPb H e H MeJtimes^eJ H JLhlZaringQsONPO H [SX H MeJTbn[U~NihQsNPObnJZ N H hQkKhZ[UPJUY H [ centEgraveJIacuteNaringhJUfRJU~NPO Hbn[]fR[PhaelighZJ[]Qc[]O7M[]ZOslash[S[PJUOeJUQ H msup1ZOslashJUNPYZjhZJZOslashJUO H a G NPO[SWQcOeJ NPO^r[PhdOeJSeufhShSi]j^_`QcOQZ QVcurrenUQcO[ H MQcYjNPO H Q H m ZOslashJUNPOY H MN H WFJwWNPO HH [^eJUbnhZJUNPYJ H MeJeumlbn[]ZaeligVKfcJkWQ H m[SXUacuteNeumlhZJ[]QR[]Oa hdNmJ H NPfd^Ve sSs fampN H JUjke sSsSs j^MQcY H [B[]fuZaringNmKhdNPb H QcbLNPfcfVm cent=JaumljYJU^X[Ph XiacuteNPbnJtimes^eJ H JUb H QR[]OaQsO QZaringN[PJaumlYJBjeJUObnJUY^macr^f^laquoIgraveIcirc=KEgrave(FETHOEacuteltEgraveIcircEcircgtNtildeltIcircIgrave8 EacuteshyOacute ETH9IgraveAgrave=Eacute3+NtildeshyEgrave13NtildeshyOacute=KIgravefrac34Iacute_NtildeFETHEgraveEcirc20EacuteshyEgrave=EacuteshyEumlEacuteshyEgrave2Iacute Ntilde4ltIgraveIcircMJQcO H JUOYZQ H mxXiacute[Ph bn[]fR[Ph QCZaringN[PJUYaringQcYOslashhJLKhZJUYJUO H JU^centm7NpoundXiacutejOb H QR[]OOtildeegravearingOumlOtilde 13ordfcent ntilde Otilde 13 WMeJLhZJ Otilde aacute Otilde szligYOtildeOgravecentszligYOtilde13ordf ^iexclXm NPONPfR[S[SmAumlWQ H M H MeJOacuteY H j^Fm Xiacute[Ph[PhZJmWYZbLNPfRJFQZaringN[PJUYeWNtildeJZaringQcOQCZaringQVcurrenLJ H MeJNtilde^J H JLhlZaringQcONPO H [SX H MeJFbn[UiNihQcNPObnJcopyZaringN H hQVk[SX H MeJTbn[]OYQc^eJLhZJU^hZJ[]Qc[]OY^ J5ZaringNmaringNPYYZjFZOslashJ H MN H JUNPbdM bn[]fR[PhFhZJ[]QR[]Oacute13 QsYOcircZOslash[W^eJUfcfRJU^OslashcentmOslashNg[]NPjYYZQcNPO^QsY H hQRcentj H QR[]Oeuml[SXyacuteZOslashJUNPOiexclSegraveaacute S szligPS cent szligPS NPO^7bn[UiNihQcNPObnJZ N H hQk5^MeJKh[PcentNicentQcfcQ H maring^eJUOYQ H moXiacutejOb H QR[]O QcYu[]QUPJUO centm H MeJgXiacute[]fcfR[WQcO[aeligJkWKhZJUYZYQR[]OOaring

$ampamp aOtildejOcircaacute fa )( j +cent aq^J H ayacutejj cent JkWK- f aOtilde Sltj thorn aOtilde Sltj a2Ograve]jG [eZaringQcOQZaringQVcurrenUQcOF[ H MJbn[U~NihdQcNPObnJuZaringN H hQktimes^eJ H JLhlZaringQcONPO H [SX-NPOtimesJUP[]fVUWQcO[hJ[]QR[]ONiKKEgraveJUNihY H [OslashcentEgraveJNtimeshZJUfcJU~NPO HH [[]f H [ordmZaringN`PJ H MQcYFhZJ[]Qc[]O bn[]OUPJLhY[PJ H [WFNih^Y H MeJbLfR[]YZJUY H Me[]ZOslash[S[PJUOeJL[]jYbn[]fR[PhiexclhZJ[]QR[]OO^9J H jY$Oe[ H J timesOslash NPO^0copyUgraveUcircUacuteUuml H MJbn[UiNihQcNPObnJ5ZaringN H hQcbnJUYy[SX=hJUYKEgraveJUb H QVUPJUfVmordmOuml timesOslash aagravejNPO^tOuml UgraveUacuteUuml aagravejaring

atilde aacute213 u Patilde u centatilde u atildeu cent atilde u centcentatilde u cent4atildeu5 atilde u5centatilde u54atilde67 a2zSj

WMJLhZJSaringEFFG FFH u times aumlatilde aacute iacutefaring w aring thorn yuml aOtilde times S times atilde jaOtilde auml S auml atilde j atilde aumlS times atilde aacute iacutefaring w aring thorn yuml Otilde times a2atildeltszligaumlj atilde auml WQ H M aacuteiVIgraveOacute[Ph Kf5

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ J [PcentUWQR[]jYZfm`MNUPJacuteu times aumlatilde aacuteu auml timesatilde ^shy9J H jYaumlO[ H J ^eJ H a atilde j H MJ ^eJ H JLhlZaringQsONPO H [SXH MeJaumlbn[U~NihdQcNPObnJZ N H hQkWiexclMQcbMJkBKhJUYZYZQR[]O QcY H MJgX[]fsfR[WQsO[aring

^eJ H a atilde jumlaacute u Patilde u centcentatilde u 4atilde u centatilde u atilde u cent4atilde u Patilde u cent4atilde u cent4atilde u centcentatilde u atilde u atilde u 4atilde u centatilde u centatilde a2Ogravei]jnot jOb H QR[]OY [SX H MeJeumlbn[UiNihQcNPObnJpoundZaringN H hQk ^eJ H JLhZaringQcONPO H YNihZJ jYJU^ NPY hJ[]QR[]O^eJUYbnhQRK H [PhY^ JIacutebMe[B[]YJ H MJordfX[]fcfc[WQcOF[aeligYZJ H [SX$^eJUYZbnhQRK H [PhYaringEFG FH uuml thorn UgraveUcircUacuteUuml yuml aacute98ordfaq^eJ H acopyUgraveUcircUacuteUumlAjjuuml thorn timesOslash yuml aacute98ordfaq^eJ H a timesOslash jjuuml thorn otilde)yuml aacuteOslashb a2Ograveh]jWMJLhZJ8ordfaOgravejFQcYNOslashKEgrave[]YZQ H QVUPJiexclXiacutejOb H QR[]O [SXampbLfcNPYZYograve aOtilde 13yjFNPO^Cb`NOslashKEgrave[]YZQ H QVUPJOtildebn[]OWVY H NPO H ^gJ H jYNtildeOe[W WhQ H J H MeJJUP[]fcj H Qc[]OaringJBjN H QR[]O [SX H MeJiexclNPb H QUPJbn[]O H []jehcentmbn[]ZOslashK-j H QcO[ H MJIacute^QEgraveJLhZJUO HH JLhlZaringYiexcl[SX_a j^J H NPQcfcYiexcl[SX H MeJIacutebn[]ZaringKj H N H QR[]O bLNPOcentEgraveJgXiacute[]jO^QsOaNiKKEgraveJUO^QVk X5^gtMJaumlJUP[]fcj H QR[]O`JBjN H QR[]O[SX H MJIacuteNPb H QVUPJaeligbn[]O H []jhQcY H MJgX[]fsfR[WQsO[aringaelig Yacuteaagravejaelig agrave aacute8gaq^eJ H atimesOslashjj 8ordfaq^eJ H a UgraveUcircUacuteUuml jj`b admacr s jlt8Icircraquodaq^eJ H a times Oslash jgt= ccedil A B egrave aOtilde S timesOslash jaOtilde B5 S BtimesOslash jB^eJ H aDC EBtimesOslash ja fj BGFH amp^eJ H atimesOslashj48 raquo aq^eJ H atimesOslashjj 8Icircraquodaq^eJ H a UgraveUacuteUuml jgt= ccedil I B egrave aOtilde Eacute S UgraveUcircUacuteUuml jaOtilde B S BUgraveUcircUacuteUuml jB^eJ H aDC JBUgraveUacuteUuml ja fj BKFH amp^eJ H a UgraveUcircUacuteUuml j48 raquo aq^eJ H a UgraveUcircUacuteUuml jjcedil13eacuteMJZaringN H hdQkLC JBatilde QsY ^JU^jbnJU^icircXh[]Z H MJeumlbn[U~NihdQcNPObnJbZaringN H hdQkM atilde centm YZjeKeVKhJUYZYZQcO[ H MeJ uuml UumlON hZ[WENPO^ H MeJ I UumlON bn[]fcjFZaringO^MeJeumlfcNPY H Xiacute[]jeh fsQcOeJUY [SX H MeJJBjN H QR[]ONihZJ H MeJOtildeNP^^Q H QR[]ONPf H JLhZaringY(bn[]ZaringQcO[XiacutehZ[]Z H MeJiexclU~NihQsN H QR[]O [SX H MeJOtilde^eJnVYZbnhdQRK H [PhYWiexclQ H Mordmagrave^ Y0Q H MNPYycentEgraveJLJUOOslashKhJUBQR[]jYZfVmTKhZ[UPJU^X[Ph[PhZJmWYZbLNPfRJiexclQCZaringN[PJUYeH MeJUYZJ H JLhlZaringYMNUPJ H [ cent=Jaumlbn[]OYZQc^eJLhZJU^ QsO[Ph^eJLh H [regZ N`PJ H MeJTNPb H QUPJTbn[]O H []jhbn[]OUPJLhY[PJ H [WFNihd^YNZ QcOQZtimesjFZ [SX H MJTbnhQ H JLhQc[]OO^macr^ ^~THORNUgrave2FIgraveFEgrave2Iacute_IgraveFOacuteshyETHOgraveNtildeshyEumlEgraveOIgraveIcircdEumlETHOIcircnot [Ph H MJ JkWKEgraveJLhQZOslashJUO H YeQWNtildeJ H N`PJCntildea]jordmaacute ILK Kaf[]jgWMQsbMsup1[]QVUPJUYnntilde raquo aOgravejaacutefdOafWOgravej(NPO^8ordfaOgravejaacute ILK KafIcirch cent juWMQcbdMt[]QVUPJUY8 raquo aOgravejaacute ETHOafIcirch cent j^ JbdMe[[]YZJ bbaacute f s ^QMeJaringbn[]fR[PhtimesYKNPbnJ YJUfcJUb H JU^QcYaQPszlig l szligicirclaquojeltWMeJLhZJwaOtilde aacuteRPordmjhZJLKhZJUYJUO H Y H MeJfsjFZaringQcONPObnJNPO^waOtildeOgravecent5aacute l j$NPO^frac34aOtildeS aacuteOslashicircj$hZJLKhZJUYJUO HyH MeJ H WF[bdMehZ[]ZaringQcONPObnJUY^ not [Ph H MeJbn[]ZaringKj H N H QR[]OOslash[SX H MeJuUiNihQcNPObnJSei[]Ofm H MeJfcjZaringQcONPObnJQcY(jYJU^O^

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CB5Oaring[Phd^eJLh H [aeligYJ[]ZOslashJUO H NPO Me[]ZOslash[S[PJUOJL[]jY0hJ[]QR[]OOeOgraveWFJiexclY H Nih H WQ H M NPO QcOQ H QcNPf

bLjehlUPJ0QcOYZQs^eJ H MJ0hZJ[]QR[]Oauml[SXWQsO H JLhZJUY H ^MeJybLjhYUPJ0QcY H MJUOTYZjeKK=[]YZJU^ H [JkWKNPO^jO H Qcf(Q H hJUNPbMeJUY H MeJ centEgrave[]jO^NihlmOacute[SX H MeJabn[]ObnJLhdOeJU^ Me[]Zaring[S[PJUOeJL[]jYaringhJ[]QR[]OO^MJtimesbLjehlUPJtimes^e[BJUYUacuteOe[ H [P[cent=JmP[]O^ H MJUYJaeligcent=[]jO^NihQRJUYiexclYZQcObnJSe=[UPJLh H MeJLhZJSe H MeJbnhQ H JLhQR[]OOacuteQsObnhZJUNPYJUYtimescentEgraveJUbLNPjYJ H MeJU~NihdQcNPObnJOcircu centtimesOslash [Ph H MeJ bn[U~NihdQcNPObnJtZaringN H hQVk^eJ H JLhZaringQcONPO H ^eJ H atimesOslashjUcirccentOtildeQsObnhZJUNPYJS^MeJaringNPfV[P[PhQ H MZEcentNPYJU^[]O H MeJ bn[UiNihQcNPObnJZaringN H hQVkeumlQcYaumlK=JLhlX[PhlZaringJU^euml[]ONPOQZ N[PJ [SX H MeJUBQs^eJL[`YJBjeJUObnJrnN`WQVmP[]peumlQcO[Ph^JLh H [euml^eJ H JUb HaeligH MeJYKEgraveJUN`PJLhUTYXqNPbnJS^gtMJaumlJUP[]fcj H QR[]O[SX H MJIacutebLjehYUPJIacuteQcYu[]QVUPJUO QcO not QV[^ macr^gtMeJTbn[]O H []jehiexclJUP[]fUPJUYH [ONPfcfVmbn[]OUPJLhY[PJaelig[]O H MeJIacutecent=[]jO^NihQRJUY[SX H MJyXqNPbnJa not QV[^ macr^bj^OMeJyXiacuteNPbnJaeligQcYH MeJUONPbLbLjehdN H JUfVm YZJ[]ZOslashJUO H JU^^FMeJUacuteNSZOslashKfcQ H j^eJ[SX H MeJiexclUPJUfR[BbLQ H m QsYFNPfsY[laquo[]QVUPJUOQcO not QV[aqYj^ macr^ ^OecurrenJSe Xfrac34jNPO^WNtildeJUacutebLNPO [PcentYJLhYUPJ H MN HFH MeJ5XiacuteNPbnJUacutehZJ[]QR[]O QcYUPJLhYmWFJUfcf^eJUfsQZaringQ H JU^regXhZ[]Z H MJ[ H MJLhhZJ[]QR[]OY^MJ5UPJUfc[BbLQ H m[]QUPJUO QcO not QV[aqYj^ macr^ ^OecurrenJSe XQcObLfcj^eJUY H MeJNP^^Q H Qc[]ONPf H JLhlZaringYFbn[]ZaringQcOF[yXiacutehZ[]Z H MeJ5UiNihQcN H QR[]O [SX H MeJiexcl^eJUYbnhQRKeVH [PhY5WQ H Magrave`centj H ^e[BJUYOtildeOe[ H QcObLfcj^eJ H MeJaeligcentEgrave[]jO^NihlmVcentNPYZJU^ H JLhlZ WMQcbMeumlQcYUacuteNYYZaring[[ H MQsO[ H JLhlZ^KMeJtimesNSZOslashKfcQ H j^eJOtilde[SX H MeJyUPJUfc[BbLQ H maQcYiexclOe[PhlZaringNPfcQcurrenLJU^ centEgraveJ H WFJLJUOs NPO^ macrSmacre$YZjbdM H MN HTH MeJ OeJ[]N H QVUPJoU~NPfcjJUYIacuteNihZJ fR[WFJLh H MNPO f i`NPO^ H MeJKEgrave[]YZQ H QUPJ[]OJUYNihZJTMQ[]MeJLh H MNPOpoundf i^ J bLNPObn[]ZaringKNihZJ H MJ QcOQ H QsNPfUPJUfR[BbLQ H m[Pcent H NPQcOJU^jYZQcOF[ H MeJ bn[U~NihQsNPObnJZaringN H hdQk admacr s juWQ H M H MeJOtilde[]OeJOtilde[Pcent H NPQcOeJU^jYQcO[ H MeJordfUiNihQcNPObnJrega2Sj^KMeJordfXqNPbnJTQcYOe[ H WNtildeJUfsf9^eJ H JUb H JU^QcO H MeJUPJUfR[BbLQ H m[Pcent H NPQsOeJU^ajYQcO[ H MeJUiNihQcNPObnJa not Q[^ ^bjWMJLhZJUNPYIacuteQ H QcYIacutehZJUNPfcfmumlWNtildeJUfcfF^eJ H JUb H JU^QsO H MeJQcOQ H QcNPfUPJUfR[WbLQ H m7jYZQcOF[ H MeJbn[iVUiNihQcNPObnJpoundZ N H hQk a not QV[^ ^currencentj^_MeJ UPJUfR[WbLQ H m [Pcent H NPQcOeJU^ jYZQsO[ H MeJumlU~NihdQcNPObnJ^e[BJUYOe[ H NPfsfR[W NPOJltz bLQRJUO H YJ[]ZOslashJUO H N H QR[]O`[SX H MeJyXiacuteNPbnJauml[]O H MeJaumlbn[]O H hNihYm H [H MeJIacutebn[UiNihQcNPObnJlaquoZaringN H hQk^eJ H JLhZaringQcONPO H WMQsbM H N`PJUYUacuteNP^UiNPO H N[PJaelig[SX H MeJtimesbn[]fR[PhQcOFX[PhlZ N H QR[]OO^macr^ ^WVFEumlETH=gtNtildeFETH32EacuteltOacuterETHEacute`0Ntilde=KIgravek8ltIgraveFETHIgrave5=KETH32EacuteltOacute~2Oacute+(8ltIgraveEacute IcircIgrave5euml1IgraveFOacute=KIgraveIcircMJa^eJUYZbnhQcK H [PhYOslashcentNPYZJU^[]O H MJ`bn[UiNihQcNPObnJZaringN H hdQkNihJ`QZOslashK-fRJZOslashJUO H JU^ H [^eJ H JUb H MBjFZaringNPO XqNPbnJUYQcO UWQc^eJL[OacuteYJBjeJUObnJUY^MQsYaring^eJ H JUb H QR[]OegraveZaringNm cent=J`jYJU^Xiacute[PhtUWQc^eJL[ bn[B^QcO[ H [JUObn[W^eJYJUfcJUb H QVUPJUfVm H MeJOacuteMBjFZaringNPOegraveXqNPbnJS^ not [Ph`N []QVUPJUObn[]ZOslashKhZJUYZYZQR[]OOacutehN H QR[e H MeJoXiacuteNPbnJbLNPO7cent=J H hNPOYYZ Q HH JU^bWiexclQ H MN MQV[]MJLhThN H J H [H MeJ^eJ H hdQZOslashJUO H [SX H MeJcentNPbl`[Ph[]jO^O^uMQsY QsO H JLhZJUY H QcO[KhZ[PKEgraveJLh H m QcYUiNPfcjWVNicentfcJuX[PhUBQc^JL[Bbn[]OXiacuteJLhZJUObnJUYe]WMeJLhZJ H MeJ ZOslash[]Y H QZOslashKEgrave[Ph H NPO H NPO^regZOslash[]Y H U~NihdQcNicentfRJQcOFX[PhlZ N H QR[]OQcYfR[WbLN H JU^ []O H MJordfXiacuteNPbnJaq 5ZOslash[]Oe[]j`NPO^tUacutejMNSZaringJUfde sSsSs j^ J QcOQ H QcNPfcQVcurrenLJ H MJhdY H XiacutehNSZOslashJoWQ H M7N`bLQchbLfRJ QsOYZQc^eJ H MeJXqNPbnJ H [ H hNPbY`K^MJUOOeyacuteWFJsup1ZaringN`PJ H MeJNPb H QVUPJ7bn[]O H []jeheumlJUP[]fVUPJjYZQcOF[admacr s jeiexclWQ H MX8ordfaOgravejxaacuteILK KafUgravemiddot cent j^ltMeJregONPfybn[]O H []jehtimes[SX H MeJ bLjehZhJUO H QZaringN[PJ QcY H MeJUOOacutebdMe[]YJUO7NPYNPO QcOQ H QcNPfbLjhYUPJordfX[Ph H MJUacuteOJk H QZaringN[PJS^FMeJOtildeNPfV[P[PhQ H MFZMNPYcentEgraveJLJUOKEgraveJLhYXiacute[PhlZOslashJU^[]OYJUPJLhdNPf$YJjJUObnJUY^MeJaelighZJUYjf H Y5X[Ph H MJaeligYZJjeJUObnJpoundn5JLhQV`p NihJordm[]QVUPJUOQcOnot QV[^ethz^shyMeJaringKNihNSZaringJ H hZJ bMNPYaumlcentEgraveJLJUOYZJ HaumlH [sup1f s ^QMeJordmXqNPbnJ QcYordfWFJUfcfy^J H JUb H JU^NPO^ H hNPbY`PJU^times[]O H MJ|WMe[]fcJyYJjJUObnJS^MJyhZJUYZjf H YOX[Ph H MeJNtildeYZJjeJUObnJnN`WQVmP[]p

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ macrNihZJy[]QVUPJUO`QsO not QV[^ i^ JaeligbMe[B[]YJbaacute s ^ JtimesbLNPO`YJLJ H MN HH MeJXiacuteNPbnJaeligQcYuWFJUfcf^eJ H JUb H JU^aJUPJUOaQVX H MeJaumlbn[]fR[Phiexcl[SXMJLhYZMQRh H QsY(bLfR[]YJ H [ H MJgXiacuteNPbnJIacutebn[]fR[Ph^

YOEAEligMgtIltROgravesup3PshyAtildeT13MKI5O H MQcYKNiKEgraveJLheuWNtildeJKhZ[PKEgrave[]YJN OeJW 0jfRJLhQcNPOAumlZaringQsOQZaringQVcurrenUN H Qc[]OAumlZOslashJ H Me[W^ H [bn[]ZOslashK-j H J H MJUPJUfR[WbLQ H mpoundUPJUb H [Pharing[SXNPONPb H QVUPJ bn[]O H []jeh H MN H JUOYZjehZJUYtimesQ H WQcfcfJUP[]fVUPJ NPYordfXiacuteNPY H NPYOtildeKEgrave[]YZYZQRcentfcJ H [WNih^YIacuteNZaringQcOQCZIacutejFZ [SXN bnhQ H JLhQR[]OeumlQcObLfcj^QcOF[centEgrave[ H MUacutehZJ[]QR[]OeVcentNPYJU^TNPO^OtildecentEgrave[]jO^NihYmVcentNPYJU^ H JLhlZ Y^ q jehgNiKKhZ[]NPbMIacuteQcYcentNPYZJU^Otilde[]OYZMNiK=J[PK H QZaringQVcurrenUN H Qc[]OOslashKhQcObLQRKfRJUY$NPO^ QcYyKEgraveJLhYXiacute[PhlZOslashJU^ QcO H MehZJLJ5ZaringNPQcO Y H JLKYaringf^ltO H hZ[W^jb H QR[]O[SX$NOslash^mWONSZaringQcbLNPfYbMeJZOslashJIacuteQcO H MeJTbnhQ H JLhQR[]OOe ^vF[]ZOslashKj H N H Qc[]Oaelig[SX H MeJ_0jfRJLhdQcNPOaelig^eJLhQVUiN H QVUPJ[SX H MJbnhQ H JLhQR[]OOslashjYZQcO[OtildeYZMNiKEgraveJ

[PK H QZaringQVcurrenUN H Qc[]O H [[]fcYe^vF[]ZOslashKj H N H Qc[]Oa[SX H MeJtimesJUP[]fcj H Qc[]OaJBjN H QR[]O`[SX H MeJaeligNPb H QVUPJtimesbn[]O H []jehiexclXiacutehZ[]ZH MeJT^eJLhQU~N H QVUPJS^

iexcl Ntilde _ cent G NPfcfR[WY H [hJUNP^QcfVm H N`PJNtildeQcO H [NPbLbn[]jO H9H MeJybLNPYJ0[SXBhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H^eJUYbnhQRK H [PhY H MN H NihZJo[]fR[PcentNPfcfVmN HH NPbdMeJU^ H [ H MeJ JUP[]fVUWQcO[ hZJ[]QR[]OYtimesNPO^Y[H MN H UiNihYm^jehQsO[ H MJaumlKhZ[PKN[]N H Qc[]O [SX H MJaumlbLjehYUPJS^ JTYMe[W H MN HH MeJgUiNihQuVN H QR[]O [SX H MeJUYJ^JUYZbnhQRK H [PhdY QsO^jbnJUYNP^^Q H QR[]ONPf H JLhlZaringYQcO H MeJeumlJUP[]fcj H QR[]OJBjN H QR[]Oeuml[SX H MeJaringNPb H QVUPJ bn[]O H []jeh^MJUYJ H JLhlZaringYgZtimesjY H Oe[ H centEgraveJlaquoX[Phl[P[ HH JUOQcO[Ph^JLh H [ hZJUNPbMeumlN H hjeJZ QcOQZtimesjFZ[SX H MeJtimesbnhQ H JLhQc[]OaNPYUacuteQ H MNPYcentEgraveJLJUOKEgrave[]QcO H JU^[]j H QsOJkBKEgraveJLhQZaringJUO H NPfEgravehZJUYjf H Y^

Yfrac34XiacuteNiheumlNPYeumlMe[]ZOslash[S[PJUOeJL[]jYeumlbn[]fR[PheumlhZJ[]Qc[]OY`YZJ[]ZOslashJUO H N H Qc[]OQsY`bn[]ObnJLhdOeJU^OeWFJKhZ[PKEgrave[]YJ H MeJ`bn[U~NihQsNPObnJfrac34ZaringN H hdQk^eJ H JLhlZaringQcONPO H NPY N^eJUYbnhQRK H [Ph^MQcYY H N H QsY H QcbLNPfhZJ[]QR[]OeV4^eJLKEgraveJUO^eJUO H ^JUYZbnhQRK H [PharingNiKK=JUNihdY H [centEgraveJN UPJLhlm7hJUfRJU~NPO HH [B[]fampNPO^eumlY[ Q H MNPYUacutecent=JLJUOeumlYZjbLbnJUYZYXqjfcfVm NiKKfsQRJU^ H [XqNPbnJaring^eJ H JUb H QR[]OQcOfrac34UWQc^eJL[YJBjeJUObnJUY^

iquest acuteraquoacuteLacuteIltR]acuteAtildeagraveIgravefrac14dEcircsup1Atilde5AringiquestLmiddotNtildeIumliquestUumlgIumlUTHORNampAtildeEacutecedilAtilde5AringAcircnAtilde|iquestaacuteIacuteIumlIZEgravefrac14Zcedilfrac12frac14dAringiEcirc]iquestfrac14draquoiEcirc[NtildeIumlagraveAringEacutePAtildecedilwAacute4] uacute_^J^J^ iquest)` igraveraquoLCcedilfrac14cedil4Ecircfrac14draquo~Ecirc(Auml|AringAacuteCcedilfrac14Zcedil4Ecirc

Agrave5AringcedilAcircnAtilde$AtildeAcircnAuml|frac12AringAacutesup1AumldraquoTAringAEligwsup1raquo~ordm(frac12Atilde5AcircnAtilde5frac12AEligwAtildeAacuteampIgrave(Atilde AacuteIcirc~AumlUEcircSaIumligraveraquo13] x4~rv p4PldrRtcoPl|Egraveod5v pv i4vodaumlx4shyl not vsectpqo v tu not Iumlcb$Auml|EacutePAtilde|iquestednfrac14Oumlifrac14draquoIuml

agraveIgrave(Aumldraquo~Auml|Aringiquest~igrave4IumlPfrac14raquoiEcircfWIumliTHORNampAringIcircifrac14Igrave(Atilde5frac12G] divideugrave|ugrave|ugrave iquest` igraveAacuteAtildecedil4frac14ZAacutesup1Acirc|AtildeNtildeEacute~frac14dAgrave4UgraveUCcedilEgravefrac14cedil4EcircUacuteAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoUacuteOgraveregAumldcedilIcirc~sup1Atildecedil4frac14cedilAgrave4Icirc~sup1currenEumlAgravefrac14dfrac12=CcedilEgravefrac14AcircnAtilde5frac12AtildeAacutesup1Igravefrac14ordm|AtildeAgrave5AumlUEcircsup1raquo~ordmIaIumlaeligigraveiacuteraquoS] x4rv p ildrRtcodil|ampod5v pv P4vOtildeodOslashx4shy(l not vFsectpqo v tu not Iumlg frac14raquo~Agrave5AumldAring~AcircnAtildecediliquestehEgravefrac14raquoifrac14|Ecircfrac14Iuml

agraveAringEacutePAtildecedilwAacuteiquest[NtildeIumlWfrac14raquoiEcircifWIuml13b$Aumldcedilraquo~OumlcedilAuml|EacuteAEligqAacute4] divideugrave|ugraveuacute iquestkj ldrregv shy(ldrRtcl|ipwonm5v shyNtildetuOslashtushyl not vampipwo4v tu not sect9ldp4rRtcl|Egravedt lv pv ~rRtRl|9vDm~lrRtcod~ldiTrreg~vUacutel| Uiexcloqnldp4tcldrRtRod~ iquestpoAumlIuml uacute_qEr IumlOslashagrave9Ouml~Oumlfrac12sup1AtildeEcircaacuteUacutefrac14AacuteIcirc~AtildeIgravefrac14Aacutesup1Agravefrac14dfrac12BatildeAgravesup1Atilderaquo~Agrave5Atilde5AElig5iquestPatildeOumlcedilsup1raquoordm|Atildecedil g Atildecedilfrac12frac14dordmIumlhEgravefrac14dAEligwAtilde5frac12frac12Atilde5AElig5iquest g Iumliquest~szlig0Iumleb$sup1Igrave(Igrave(Atilde5frac12Riquestifrac14raquoiEcirc[NtildeIumlatildefrac14dOumlsup1cedilAumlI] uacute_^J^Er iquest`s[Atilde5AumlUEcircAtilde5AEligwsup1AgraveFfrac14dAgraveAacutesup1AcircnAtildeyAgrave5AumldraquoUAacuteAumldAringcedilAElig_aIuml x4~rv p4PldrRtcodPldpoundUodUp4Pl|WoqodshyiUrv paumlumltutcodutet13v uacute+w iquestex uacuteyIrz^ Iuml

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CBh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34LiquestBagraveyIumlWfrac14raquoiEcircidIumlBTHORNampAringraquo~Agravefrac14raquo13] uacute4^z^J^ iquest`[ampfrac14Igrave(AtildeEumlcAacuteIcirc~Atilde5AumlcedilAtildeAacutesup1Agrave(sup1raquoUAacuteAtildeordmdcedil4frac14Aacutesup1AumldraquoaeligOgraveuAumldcedil0sup1Igravefrac14dordmdAtildeAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIuml xQ|||~pwl~ lnrRtcodNtildeodiexclsect9lrRrv p auml9Pl| ~tuyldi j l|4Utu]vx4~rvreg t not v P4v Iumlh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34Liquestgagrave0IumliquestIumlgatildeUAacute4frac14dsup1Eacuteiquest9frac14draquoiEcircdIuml9THORNampAringraquo~Agravefrac14raquo13] uacute_^J^ xiquest` THORNampAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeIacuteEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34iraquo~Ecircsup1raquo~ordmsup1raquoIgrave(AtildeEcircsup1Agravefrac14frac12iexclsup1Igravefrac14ordm|Atilde5AEligaringEacuteLfrac34Oacutesup1raquoLAacuteAtilde5ordmcedil4frac14Aacutesup1raquo~ordm ordmdcedil4frac14|Ecircsup1Atilde5raquoLAacute frac14raquoiEcirccedilAtilde5ordm|sup1Auml|raquo sup1raquoOgraveuAumldcedilIgravefrac14ZAacutesup1Auml|raquo13aIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu notI iquesteE ^4y rdugrave Iumlh=Icircifrac14raquoiquestBETHIumlWfrac14raquoiEcircIuml g Atilde5AEligwAtildeJ] dividedugravedugraveuacute iquest` agraveAgraveAacutesup1AcircnAtildeFAgrave5Auml|raquoLAacuteAuml|AringcedilAElig$Ccedilgsup1AacuteIcircAuml|AringAacuteNtildeAtilde5Ecircordm|AtildeAElig_aIuml xQ||k|~pwld lnrRtcododUacutex4shy(l not v9sectpqo4v 4tu notuU v divideJw iquest divide xJx ydividezrJr Iumlh=Icirc~Atilde5AEligwraquo~frac14dAring~EcirciquesthIumliquestfWIuml=szligAtildeOgraveYacutecedilIAtilde5ordm|sup1Atildecediliquestfrac14draquoiEcirc g Iuml5Z=AumldAring~frac12AtildeAacute4] uacute_^J^z^ iquest`currenatildeUAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12cedilAtilde5ordmdsup1AumldraquoAEligwraquoifrac14dUgrave|AtildeEumlsEacuteifrac14dAEligwAtilde5EcircAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquofrac14|Ecircfrac14dOumlAacuteAtilde5EcircFAacuteAumlyEcircsup1s]AtildecedilAtilde5raquoLAacute-Ouml~IcircLfrac34AEligwsup1Agrave5frac14dfrac12~raquoAuml|sup1AEligwAtilde9Igrave(AumlUEcircAtilde5frac12AElig_aIuml xQ||k|~pqld~ lnrRtco~$osect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4vt iquest uacute|uacute_q y~uacute|uacute xIumlh=Auml|IcircAtilde5raquoiquestIuml] uacute4^z^uacute iquest`currenmiddotraquofrac14dAgrave Aacutesup1Acirc|Atilde Agrave5AumldraquoLAacuteAuml|AringcedilIacuteIgrave(AumlUEcircAtildefrac12AEligtimesfrac14draquo~EcirceumlEacuteifrac14dfrac12frac12AumlLAuml|raquoAElig_aIuml odshyiUrv pumltutcod pwl Utc0ldix4shyl not vsectEgravepwo4v tu not x4shyl not vOtildePnv p rsldidtu not) iquest divideUuacuteduacuteydivideLuacute UIumlh=Auml|IcircAtilde5raquoiquestSIumliquestUumlIuml13ZEgravefrac14cedil4Ecircsup1raquo~AtildeAacuteiquestfrac14raquoiEcircoNtildeIumlagrave9frac34Lfrac14dAgrave4Icirc~AtildeJ] uacute_^J^z iquest`atildeUAringcedilwOgraveufrac14dAgrave5Atilde0cedilAtilde5Agrave5Auml|raquoAEligqAacutewcedilAring~AgraveAacutesup1AumldraquotimesAring~AEligwsup1raquoordmfrac14AgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilaumlIgrave(AumlUEcircAtilde5frac12AElig_aIuml igraveiacuteraquoS] Lsect=xQ|od5v pv P4v od vwodshy(v rRp tc j v rregodtimestuodshyiUrv pumltutco Iuml~atildefrac14raquoUacuteTHORNampsup1Atilde5ordm|AumliquesthEgraveagraveyIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquestEgraveUumlIuml] dividedugrave|ugravedugrave iquest`currenatildeAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquo Ouml~frac14cedilAgrave5Auml|raquoLAacuteAuml|AringcedilAEligUacutefrac14AgraveAacutesup1currenOgraveuAEligUacuteAtilde5raquosup1Igravefrac14dordmdAtildecedilsup1AtildeIacuteIgraveAtilde5Ecircsup1Agravefrac14dfrac12AtildeIacuteEcircfrac34UEumlraquoifrac14dIgrave(sup1ecircLAring~Atilde]ampfrac14Ouml~Ouml~frac12sup1Agravefrac14ZAacutesup1AumldraquoAtilde5raquoeumlAgravefrac14Zcedil4Ecircsup1Auml|frac12Auml|ordmdsup1Atilde raquoUAring~Agravefrac12Atilde5frac14dsup1currencedilAtildeJaIumlfIcircIuml THORNFIumlAacuteIcirc~Atilde5AEligwsup1AElig5iquestraquo~sup1AcircnAtildecedilAEligwsup1currenAacutefrac34`AumlOgraveosup1Agrave5AtildeEumliacuteatildeAumldOuml~Icircsup1Yacutefrac14NtildeagraveraquoLAacutesup1OumlPAuml|frac12sup1AElig5iquestPeacutecedil4frac14raquo~Agrave5AtildedIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquest|UumlIumliquestUaacuteIacuteIumlEZEgravefrac14cedilfrac12frac14dAring~Ecirciquest[NtildeIumlLagraveAringEacutePAtildecedilwAacuteiquest|frac14draquoiEcirc dIumlnTHORN$frac14ZcedilAgrave5Auml|AringcedilwAacute4] divideugrave|ugraveUuacute iqueste`currenatildeOuml~frac14dAgrave5AtildeEgraveAacutesup1Igrave(AtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14EumlAacutesup1AumldraquoUacuteAring~AEligwsup1raquoordmfrac12Atilde5AcircnAtilde5frac12AEligwAtildeAacutefrac14dAgraveAacutesup1AcircnAtilde$AgraveAuml|raquoLAacuteAuml|AringcedilAEligfrac14Ouml~Ouml~frac12sup1AtildeEcirciexclAacuteAumlFIgraveNtildefrac34LAumlLAgravefrac14Zcedil4Ecircsup1frac14dfrac12ordmnfrac14ZAacuteAtildeEcircOtildeatildeIf-UumlkhEgraveETHaIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu not t v rJw iquest)x qJ+y xJ ^ Iuml

THORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquest13iexclNtildeIumlfrac14draquo~EcircdIumlWaacuteAuml|raquoLAacute4frac14ordm|raquoifrac14ZAacute4] divideugrave|ugraveUuacute iquest` ETHBAumldOumlPAuml|frac12Auml|ordmfrac34Oslashfrac14raquoiEcircIacuteAEligwIcirc~frac14dOumlPAtildeAgraveAuml|raquo~AEligqAacutewcedil4frac14sup1raquoUAacuteAEligyAumldraquotimesOumlifrac14Zcedil4frac14EumlIgrave(AtildeAacutewcedilsup1AgraveOslashfrac14dAgraveAacutesup1AcircnAtildearingAgrave5AumldraquoLAacuteAuml|AringcedilAElig_aIuml odshy~rv pumltutcodldP x4shy(l not vPLv p4rsldPtu notcent) v divideJw iquestuacute_qnugrave4yiuacute4rUuacute Iuml[Auml|Igrave(Atilde5AElig5iquestpounddIumlfrac14draquo~EcircaringmiddotNtildeIumleacuteifrac14Aring~ordm|Atilde cedil4frac14dAElig_] divideugrave|ugrave|ugrave iquestcurren` szlig9Atilde5Agrave5Aumldraquo~Agrave5sup1frac12sup1raquo~ordmIacuteEcircsup1AEligqAacute4frac14draquoAgrave5AtildeOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligfrac14draquo~Ecircaeligfrac12Atilde5AcircnAtilde5frac12EgraveAEligwAtilde AacuteAElig_aIumlpoundUodUp il|WoqUacuteumltul|-odshyNtildeshyFU~tR4lrRtcodTldix4shyl not vampgvipv v rsldrRtcod ) iquest dividedugravez^+ydivideddividez Iuml[cedil4frac145frac34LiquestszligyIumliquestdIumlyen-Auml|Aringraquo~ordmiquestampfrac14raquoiEcircagrave0Iumlampagravesup1currenfrac34LAtildecedil4] dividedugravedugraveuacute iquest `aacutesup1raquosup1IgraveNtildeAring~Igrave Ecircsup1AEligwAgrave cedilsup1Igrave(sup1raquo~frac14Aacutesup1Auml|raquosup1raquoOgraveregAumldcedilIgravefrac14Aacutesup1AumldraquoAgrave5frac12Aring~AEligqAacuteAtildecedilsup1raquo~ordmI]Igrave(AumlUEcircAtilde5frac12sup1raquo~ordmTfrac14raquoiEcircOslashecircLAringifrac14raquoUAacutesup1Ocircfrac14ZAacutesup1Auml|raquoOslashCcedilgsup1currenAacuteIcirc ordm|frac14dAringAEligwAEligIgrave(sup1currenicircAacuteAringcedilAtilde5AElig_aIumlTigraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquest=atildePIumliquest=aacuteIacuteIumlkZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestEgravefrac14raquoiEcirc[NtildeIuml=agrave9Aring~EacutePAtildecedilwAacute4] dividedugrave|ugraveUuacute frac14Uiquest` agrave EumliacuteatildeUAacuteAtilde5Ouml frac14dfrac12ordm|Aumlcedilsup1currenAacuteIcirc~IgraveAring~AEligwsup1raquoordmcedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtilde=Agrave5Auml|raquoLAacuteAuml|AringcedilAEligeOgraveuAumldcedilAcircUsup1EcircAtilde5AumlAuml|EacuteUbrvbarqAtilde5Agrave AacuteAElig=EcircAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoSaIuml~igraveraquo13]psect xw j x4 sect odpDumlqo odUacutex4shy(l not v9Pl| ~tu5op j rRtushyvwdtclNtildex4rv pwlnrRtKndvy]v pntc4v IumliETHWfrac14dIgrave(OumlPAtilde cedilAtilde|iquestieacuteWsup1raquofrac12Yacutefrac14raquoiEcirc]Iumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquestUatilde]IumliquestUaacuteIacuteIumlUZ=frac14cedilfrac12frac14dAring~EcirciquestUfrac14raquoiEcirccopy[NtildeIumlUagrave9Aring~EacutePAtildecedilwAacute4] dividedugravedugraveuacute EacuteiquestA` szlig9Atilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14AgraveAacutesup1AcircnAtildegAgrave5Auml|raquoLAacuteAumldAringcedilAEligOgraveuAumldcedilAcircUsup1YacuteEcircAtilde5AumlaringAuml|EacuteUbrvbarqAtilde5Agrave AacuteOtildeAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo Ccedilgsup1currenAacuteIcircaAgrave5frac14dIgrave(Atildecedil4frac14OslashAgrave5AumldIgrave(OumlPAtilde5raquo~AEligfrac14ZAacutesup1Aumldraquo13aIumligraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquesteatilde]IumliquestWaacuteIacuteIumlZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestefrac14draquo~Ecirc[NtildeIumlBagraveAring~EacutePAtilde cedilwAacute4] divideugrave|ugraveuacute Agrave|iquestk` g sup1EcircAtilde5AumlUacuteAuml|EacuteUbrvbarqAtildeAgraveAacuteFAEligwAtildeordm|Igrave(Atilde5raquoLAacute4frac14Aacutesup1AumldraquoAring~AEligwsup1raquo~ordmIacuteAtilde5Aring~frac12Atildecedilsup1frac14draquo cedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAElig_aIuml igraveiacuteraquoS] x4rv p ildrRtcodil|yodv pwv P4vIacuteoodshyiUrv paumlumltutcod Iuml g frac14draquoAgrave5Auml|AringAcircnAtildecediliquestehEgravefrac14draquo~frac14|Ecirc~frac14UIumlbyfrac14dAEligwAElig5iquesteaacuteIacuteIumliquestWagrave0Iuml Ucirc sup1currenAacuteUgravesup1raquoiquestWfrac14raquoiEcirctimesTHORNFIumlWETHBAtildecedilOcirc5AumldOumlPAuml|Aringfrac12AumldAElig_] uacute4^ JUiquestk`currenatilderaquoifrac14UgravenAtilde5AElig_]WagraveAgraveAacutesup1AcircnAtilde(Agrave5AumldraquoLAacuteAuml|Aringcedil0Igrave(AumlUEcircAtilde5frac12AElig_aIumlx4~rv p4PldrRtcoPl|WpoundUop4PldWoqodshyiUrv pTumltutcod iquest ndivideUuacuteyUzndivide Iuml

aacuteUacutefrac14dfrac12frac12frac14|Ecircsup1ciquest~szlig0IumliquestedIuml]atildeUAtildeAacuteIcirc~sup1frac14raquoiquest~frac14draquoiEcircZIuml g Atilde5IgraveNtildeAringcedilsup1G] uacute4^z^ UiquestS`atildeUIcircifrac14OumlPAtilde$Igrave(AumlUEcircAtilde5frac12sup1raquo~ordm0Ccedilgsup1AacuteIcirciexclOgraveregcedilAuml|raquoLAacuteOumlcedilAumldOumlifrac14dordm|frac14EumlAacutesup1Aumldraquo13]nfrac14ampfrac12AtildeAcircnAtilde5frac12AEligwAtildeAacuteEgravefrac14Ouml~OumlcedilAumlnfrac14dAgrave4Icirc13aIuml xQ|||~pwld lnrRtcodampodsectgldrRrv p 9Pl| ~tu9ldP j ln4Utreg]vx4~rvu t not v i4v Iordf iquest uacute z yiuacute+r UIuml

aacuteUacutefrac14draquoAEligwAuml|Aringcedilsup1Riquestagrave0Iumlfrac14draquo~EcircdIumlb$Auml|raquocedil4frac14|EcircS] uacute_^J^J^ iquestlaquo`currenaacuteAumldAacutesup1AumldraquoAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo`Ccedilgsup1currenAacuteIcirceumlfrac12Atilde5AcircnAtildefrac120AEligwAtilde AacuteAElig_aIuml igraveraquo13]x4~rv p4PldrRtcoPl|=ov pwv P4vNtildeodUacutex4shyl not vsectEgravepwo4v tu not Iumlcb$AumldEacutePAtilde|iquestednfrac14dOuml~frac14draquoIuml

aacuteAuml|raquoLAacute4frac14dordmdraquoifrac14ZAacuteiquestdIumliquestziexcl0IumlTHORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquestdfrac14draquo~EcircoNtildeIumlZagravegfrac34Ufrac14dAgrave4Icirc~AtildeJ] dividedugrave|ugraveUuacute iquest` agraveOslashcedilAtildeAcircsup1AtildeCcedilaeligAumldOgravePEcircAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeAEligwAringcedilwOgraveufrac14dAgrave5AtildeAElig_]AacuteAuml|OumlPAuml|frac12Aumldordmdfrac34Liquestgordm|AtildeAuml|Igrave(AtildeAacutewcedilwfrac34frac14draquoiEcirc EcircAtildeOgraveuAumlcedilIgravefrac14Aacutesup1Auml|raquoSaIuml x4shyl not vtimesldiOacuteumltutcododshy~rRtreg not0Inot v uacute_qw iquestuacuteugravendivide+y~uacuteugravezq|ugrave Iuml

aacuteAring~IgraveOgraveregAumldcedil4Ecirciquest=THORNFIumlgfrac14raquoiEcircdIumlatildeIcirc~frac14dIcircS] uacute4^ ^ iquest`currenmiddotOumlAacutesup1Igravefrac14frac12$frac14dOumlOumlcedilAumlicircsup1Igravefrac14Aacutesup1Auml|raquoAEligEacuteLfrac34Oumlsup1AtildeAgrave5AtildeCcedilgsup1AEligwAtildetimesAEligwIgrave(AumlLAumlAacuteIcircOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligFfrac14raquoiEcircOslashfrac14dAEligwAEligwAumlLAgravesup1Yacutefrac14ZAacuteAtildeEcircaringAcirc|frac14Zcedilsup1Yacutefrac14ZAacutesup1Auml|raquoifrac14frac12EgraveOumlcedilAumldEacute~frac12Atilde5Igrave(AElig_aIuml odshyNtildeshyFU~tR4lrRtcod~oaeligsectEgraveUpvUacuteldiEgraveni tsvw j ldrreg~v shy(lrRtccurrenshyt iquest rzr4y xJ q Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfa

yenKbrvbarsect =4 acirc $ zmiddotAEligwIcirc~AtildecediliquestdatildePIumlfrac14draquo~EcircdIumlnatildeAtilde AacuteIcirc~sup1frac14draquoS] uacute4^ ziquest` eacutecedilAuml|raquoLAacuteAEligeOumlcedilAumldOumlifrac14ordmnfrac14Aacutesup1raquoordmCcedilgsup1currenAacuteIcircFAgrave5AringcedilAcirc|frac14ZAacuteAringcedilAtildeEumlEcircAtilde5OumlPAtilde5raquoiEcircAtilde5raquoLAacuteBAEligwOumlPAtildeAtildeEcircS]

agravefrac12ordm|Aumlcedilsup1AacuteIcircIgrave(AEligEacute~frac14dAEligwAtildeEcircaumlAuml|raquoiexclampfrac14Igrave(sup1frac12AacuteAumldraquoEumldnfrac14Agrave5Auml|Eacutesup1eacute~AumldcedilIgraveNtildeAring~frac12frac14Aacutesup1Auml|raquoSaIuml poundUodUp4Pl|oqiexcloshyiUrsldrRtcoPl|sect=U~tc ordfenot iquest uacutedivide4yEqE^ Iumlfefrac14cedil4frac14ordm|sup1Auml|AElig5iquestoNtildeIumlfrac14draquo~EcircIacuteszligyIuml]THORNampAtildecedilsup1Agrave4Icirc~AtildeJ] uacute4^z^J^ iquest`s[Atilde5AumlUEcircAtildeAEligwsup1Agravefrac14AgraveAacutesup1AcircnAtildeFcedilAtilde5ordmdsup1Auml|raquo~AElig$OgraveregAumldcedil0Igrave(AumldAacutesup1Auml|raquoTAtilde5AEligqAacutesup1Igravefrac14Aacutesup1Aumldraquofrac14draquoiEcircAacutewcedil4frac14dAgrave4UgraveUsup1raquoordmAaIumligraveiacuteraquoS] x4rv p ildrRtcodil|-ov pwv P4vFodOslashodshyiUrv paumlumltutco Iumleh=AumldcedilwOgraveregAringgt[cedilAtilde5Atilde5Agrave5Atilde|Iumlfefrac14AacuteAtilde5Aringicirc]iquestatilde]Iuml] dividedugravedugrave|ugrave iquestpound`currenatildeOuml~frac14Aacutesup1frac14dfrac12AEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoTAumldOgrave=Agrave5Auml|frac12Aumlcedilysup1Igravefrac14ordm|Atilde5AEligampfrac14dAgrave5Agrave5Aumlcedil4Ecircsup1raquo~ordmAacuteAumlUacuteaacuteTHORNaringOgraveregAumldcedilIgravefrac14dfrac12currenEumlsup1AEligwIgraveaIumlyigraveraquo13] x4~rv p4PlrRtcodPld=od5v pv i vodododpFtu pwl4UtcldPx4shyl not vysectpqo v tu not Iumlatildefrac14dsup1raquoLAacute UumleAacutesup1Atilderaquo~raquo~Atildediquestieacutecedil4frac14raquo~Agrave5AtildedIumlfcedilAtildeAgrave5sup1Auml|AEligwAumliquesteacute=IumlEgravefrac14raquoiEcirc aacuteIacuteIumlcurrenZEgravefrac14cedilfrac12frac14dAring~EcircS] dividedugrave|ugraveUuacute iquest` Z-EumliacuteatildeUOuml~frac12sup1raquo~Atildeaumlfrac14dAgrave Aacutesup1Acirc|AtildeOtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAEligOgraveregAumldcedilOgraveRfrac14AEligqAacuteAcircUsup1EcircAtilde5AumltimesAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIumlOacuteigraveraquo13] x4rv p ildrRtcodil|od5v pv P4vaeligod x4shy(l not vUacutesectpqo4v 4tu not IumlETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1Riquest[cedilAtilde5Atilde5Agrave5Atilde|Iuml

szligAumldraquoOgraveufrac14cedil4EcirciquestszligyIuml] uacute_^J^q iquest` szlig9Atilde5ordmdsup1AumldraquoEumlsEacuteifrac14AEligwAtildeEcircFAEligqAacutewcedil4frac14ZAacuteAtilde5ordm|sup1Atilde5AEligeOgraveuAumlcedil-frac14dAgraveAacutesup1AcircnAtildeEgraveAgraveAuml|raquoLAacuteAuml|AringcedilIgrave(AumlUEcircAtilde5frac12AElig_aIuml x4~rv p4PldrRtcoPl|poundUodUp il|WoqodshyiUrv paumlumltutco I v dividezw iquest divideddividez^+yUdivide uacute Iuml

atildefrac14Igrave(AEligwAuml|raquoiquestzhIumliquestzIumlzZ=frac12frac14raquo~AgraveEumleacuteAtildecedil4frac14AringiEcirciquestJ[NtildeIumldagraveAringEacutePAtildecedilwAacuteiquestfrac14draquo~Ecirc dIumlJregPAtildecedilAring~Eacutesup1frac14I] dividedugravedugrave|ugrave iquest` agrave frac12Atilde5Acirc|Atilde5frac12UAEligwAtildeAacuteIgrave(AumlUEcircAtilde5frac12nOgraveregAumldcedilsup1Igravefrac14ordm|AtildeAgrave5frac12frac14dAEligwAEligwsup1siAgravefrac14ZAacutesup1Auml|raquo13aIuml x4~rv p4PlrRtcodPldpoundUodUp4Pl|BoqNtildeodshyiUrv pOtildeumltreg4tRod shy v Ew iquest uacute r4y~uacute4^Er Iuml

atildefrac14raquo~ordmdCcedilgsup1raquoAtilde|iquest9atilde]IumlEgravefrac14draquo~Ecircszlig0IumlampiexclAumldcedilraquoAtilde v Atilde5EcircAElig5Iuml w ] uacute_^J^ Uiquest ~vIacuteo|odUpaumltushyl not vipqo4v 4tu not ldP|m4oo4uml Iumlh=Icircifrac14dOumlIgravefrac14draquodegmacriexclampfrac14dfrac12frac12RIumlatildeAtildeAacuteIcircsup1frac14draquoiquestdIumlplusmn] uacute4^z^|ugrave iquestU` oAringIgrave(Atildecedilsup1Agravefrac14dfrac12Ufrac14frac12ordm|Aumldcedilsup1currenAacuteIcircIgrave(AEligWOgraveuAumldcedilOumlcedilAuml|Oumlifrac14ordmnfrac14ZAacutesup1raquoordmsup1raquoLAacuteAtildecedilwOgraveRfrac14Agrave5Atilde5AElig_]Jiexclampfrac14dIgrave(sup1frac12currenAacuteAuml|raquoEumldnfrac14dAgrave5AumldEacute~sup1

AtildeecircLAringifrac14Aacutesup1Aumldraquo~AElig-frac14draquoiEcircAgraveAuml|raquo~AEligwAtilde cedilAcirc|frac14ZAacutesup1Aumldraquo(frac12frac14CcedilgAElig_aIuml poundUodUp4Pl|]oqEgraveyen$t lv pv rRtcl| voshyv rRp~ iquest uacute4Uuacutey~uacute x uacute IumlatildeAtildeAacuteIcircsup1frac14draquoiquestAdIuml] uacute4^J^ xiquest kWvndvB]v r j v rregod IumlcurrenhEgravefrac14dIgraveNtildeEacutecedilsup1EcircordmdAtilderaquosup1AcircPIumlAfecedilAtilde5AEligwAElig5Iumlatildesup1Ecirc~Ecircsup1ecircUsup1Riquest4bIumliquest_yenNtildeIumlBfrac14Aring~Ocirc5sup1Gsup2AtildecedilAtilde|iquestagraveyIumlETHWfrac14draquoraquo~Atilde5raquoUEacute~frac14dAring~IgraveUacuteiquest5frac14draquo~EcircNtildeatildePIumlregPAring~Agrave4UgravenAtildecedil4] uacute_^J^ xUiquestE`currenagravegcedilAtildefrac149frac14draquoiEcirc$frac12Atilde5raquoordmdAacuteIcircyIgrave(sup1raquoEuml

sup1Igrave(sup1Ocirc5sup1raquoordm sup3iAumlCcedilgAEliggOgraveuAumldcedilAEligwIcircifrac14OumlPAtildeyAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo13aIuml xQ|||~pwl~ lnrRtcodoOtildex4shyl not vsectEgravepwo4v tu notordf v Ew iquest qEz+yqzqE Iumlyen=AtildeOcirc5Ocirc5sup1RiquestagraveyIumliquest5agrave0Iuml5ETHEgraveAEligfrac14dsup1Riquestfrac14draquo~Ecirc$agrave0Iuml Ucirc sup1frac12frac12AEligwUgraveLfrac34] uacute4^z^J^ iquestJ` agraveaeligAEligqAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12Ufrac14dOumlOumlcedilAumlnfrac14Agrave IcircampAacuteAumlgAEligwraquo~frac14dUgravenAtilde5AElig]OgraveuAumlcedilWEacutesup1Igrave(AumlUEcircfrac14dfrac12frac14draquoiEcircAacutewcedilsup1Igrave(AumlUEcirc~frac14frac12isup1Igravefrac14dordmdAtildecedilwfrac34aIumligraveraquo13] x4rv p ildrRtcodil|eodv pwv P4vyodx4shyl not vgsectpqo v tu not IumlAb$AumldEacutePAtildednfrac14dOuml~frac14draquoIumlreg]IcircUAringiquest]atilde]Iumlfrac14raquoiEcircaumlagrave0Iumleyen=Aringsup1frac12frac12AtildeJ] uacute_^J^ xUiquestpound` szlig9Atilde5ordmdsup1AumldraquotimesAgrave5AumldIgrave(OumlPAtildeAacutesup1currenAacutesup1Auml|raquo13]iAring~raquo~sup1currenOgraveYacutefrac34sup1raquoordmiexclAEligwraquo~frac14dUgravenAtilde5AElig5iquestPcedilAtildeordm|sup1Auml|raquoTordmdcedilAumlCcedilgsup1raquo~ordmiquestfrac14draquoiEcircZEgravefrac145frac34LAtilde5AEligacute|aacuteTHORNOgraveregAumldcedilIgraveFAring~frac12currenAacutesup1Eacuteifrac14raquoiEcirc sup1Igravefrac14ordm|AtildeTAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo13aIuml xQ|||micro~pwld lnrRtcodtimesosect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4v Icent iquesteJ q+yU^dugrave|ugrave Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfo

i $amp)(+-)013021+345627893lt=gt9A6CBfrac12OcircacuteIshyNT

frac12OcircacuteIltNTpara frac12frac34EMeJaumlQcYZYZjJUacuteQsY H [ ^QEgraveJLhZJUO H QcN H J H MeJordfXiacute[]fcfR[WQcO[Oslash^e[]ZaringNPQsOXiacutejOb H QR[]ONPfdaringocirc|adOuml times jOcircaacute uuml times a2atildeltszligaumlgtszliglOuml times j atilde auml

G QsObnJ H MJeumlYZJ H [SXIacuteNPfcfUacute^e[]ZaringNPQsOYMNPY Oe[ H N Y H hjb H jhZJ`[SXUPJUb H [PhQcNPfOtildeYZKNPbnJSefRJ H jYZ N`PJ H MeJeumlhZJ[]QR[]OYJUP[]fVUPJ H MehZ[]j[]M NrXqNSZaringQcfVm [SX H hNPOYYX[PhlZ N H QR[]OYa(|aagraveszlig jj emiddot iacuteaumlYlZOslash[[ H MaNPO^ centQ ~JUb H QVUPJS^ not [PhNOslashKEgrave[]QcO H $ aacute atildeshyszligaumlN eFWFJTOe[ H JSaring$ aagravej|aacutemiddot|aagraveszlig $ j WiexclQ H M |a s szlig $ jaacute $OumlcopytimesaagravejOcircaacutemiddot|aagraveszliglOumlutimesdj WiexclQ H M |a s szliglOumlcopytimesAjOcircaacuteAumlOumlutimes9J H jY H MeJUO^JOeJ H MeJordfUPJUfR[WbLQ H moUPJUb H [PhdY JUfs^kfrac12 YZjbM H MN H aringfrac12sup1aagraveszlig $ aagravejj|aacute aelig |aelig agrave aagraveszlig $ j YlaquoXiacuteNiharingNPY H MeJ bn[]ZOslashKj H N H QR[]O[SX H MeJ ^eJLhQU~N H QVUPJ QcYOslashbn[]ObnJLhOeJU^OeWFJNihZJQcOWVH JLhZJUY H JU^ QcO YYZaringNPfcfOtilde^JX[PhlZ N H QR[]OY^ J H MBjYJkWKNPO^ H MeJ H hNPOYX[PhZaringN H QR[]ONPbLbn[Ph^QcO[ H [hdY H [Ph^eJLh NmWfR[PhyacuteXiacute[PhlZtimesjfcNaring|aagraveszlig $ jpoundaacuteAElig|a s szlig $ j agrave aelig |aelig agrave a s szlig $ jaacute $ ragrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacute frac14 frac14 a s szlig $ j^ J H MeJUOQcO H hZ[W^jbnJ H MehZJLJgZ NPQcO^eJOQ H QR[]OYaringf^QMeJg0jfRJLhQcNPO^eJLhQU~N H QVUPJOtilde[SXocirc|adOuml times jordfaqQcO H MeJIacute^QRhZJUb H QR[]O[SXcedilfrac12jaring ocirc|adOumlcopytimesszlig_frac12jOcircaacutefcQZUcedil iacute ocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave admacrfj ^QMeJgZaringN H JLhQsNPfg^eJLhQVUiN H QVUPJOtilde[SXuumlStimesYa $ szliglOumlcopytimes)jaringsup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j|aacutefcQZUcedil iacute uumlStimesa $ ragrave3frac12ba $ jszliglOumlutimes agrave3frac12sup1a $ jj uuml]timesa $ szliglOumlcopytimesdjagrave admacr j^QMeJaumlYZMNiKEgraveJOtilde^eJLhQU~N H QVUPJOtilde[SXOcircuuml]timesa $ szliglOumlutimes)jaring

uumlnotraquotimes a $ szliglOumlcopytimesUcircszlig_frac12 jaacutefcQZUcedil iacute uumlStimesYa $ szliglOumlutimesragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave admacrS]j

uumlnyacutenthornnyumll13YSordmY_Fordfy

yenKbrvbarsect =4 acirc $ hq centUWQR[]jYZfVmSe-centmaJkBKNPO^QcO[ admacr jUacuteNPbLbn[Ph^QcOF[ H [hdY H [Phd^eJLhordfNmBfR[PhordfXiacute[PhlZtimesjfcNeWFJaumlMNUPJSaring sup1uumlStimesYa $ szliglOumlcopytimesUcircszlig_frac12 jaacuteAumluumlnotraquotimes a $ szliglOumlcopytimesszlig_frac12jhuumlStimesa $ szliglOumlcopytimes)j frac12sup1a $ j admacrj J H MeJUOabn[]ZOslashK-j H JZOslash[PhJaumlKhZJUbLQcYZJUfVm H MJ0jfRJLhQcNPO ^eJLhdQVU~N H QUPJauml[SXcopyocirc|adOumlcopytimesdj^ JMNUPJSaringocircOcircadOumlutimesaagravejj ocircOcircadOumlutimes)jagrave aacute fagrave = thorn yuml uuml times a $ aagravejszliglOuml times aagravejj $ uuml times a $ szliglOuml times j $ FH admacrSmacr]j5O H MJohY H QcO H J[PhdNPfdeltWFJZaringN`PJ H MeJU~NihdQcNicentfRJ bMNPO[PJ $ aagravejaacute $ agrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacuteethicirc7a2atildeshyszligaumlFjszligicirc cent a2atildeltszligaumlj eWMQcbdM[]QVUPJUYaring thorn yuml uuml]timesYa $ aagravejszliglOumlcopytimesYaagravejj $ aacute admacrS]j

5 uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlutimes agrave3frac12sup1a $ jjlt^eJ H ocirc a $ jlt $WMJLhZJocirc a $ jQcY H MeJgXiacute[]fcfR[WQcO[aringSNPbn[PcentQcNPOtZaringN H hdQkKaring

ocirc a $ jaacute oacute fcedilxagrave frac14 iacute oslashfrac14Uordm agrave frac14 iacute oslashfrac14 ugraveagrave frac14 iacute acircfrac14ordm fcedil agrave frac14 iacute acircfrac14 ugrave ocircNPO^ YZ[eFWNtildeJIacuteMNUPJSaring

^eJ H ocirc a $ jOcircaacute fUragravee^QVUKafrac34frac12sup1a $ jjragrave cent ^eJ H amacr frac12sup1a $ jjMJUOWNtildeJauml[Pcent H NPQcOOaring

fsQZcedil iacute ^eJ H ocirc a $ j fagrave aacute ^QVUKafrac34frac12sup1a $ jj admacr]zSjMJJBjN H QR[]OxadmacrSmacr]j H MeJUOcent=JUbn[]ZaringJUYaringocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave aacute fagrave middot uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jjlt 13raquo ocirc a $ jlt $ uumlStimesa $ szliglOumlcopytimesAj $ admacrSi]j JTbLNPO`YZjeKKEgrave[]YJ H MN H ^eJ H aocirc a $ jjfrac14aacute sfrac12 agrave frac12 $ ^ JZaringNm H MeJUO H N`PJ^eJ H aocirc a $ jjfrac34 s eNPO^ WNtildeJ ^eJUPJUfR[PK H MeJaJkWKhZJUYYZQR[]OadmacrSi]j NPYoX[]fsfR[WQsO[centmNP^^QcO[aringN H JLhZ QcO H MeJIacuteYZJUbn[]O^aQcO H J[PhNPfltWMQcfcJaumlYZjeKKhJUYZYZQcO[ H MeJtimesYZNSZOslashJ H JLhlZQcO H MJordfhY H QcO H J[PhNPfdaring ocirc|adOumlcopytimesYaagravejj ocirc|adOumlcopytimes)jagrave aacuteegraveOtildef1rOtilde cent admacrSh]j

uumlnyacutenthornnyumll13YSordmY_Fordf

s $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJSaring

Otilde aacute uuml]timesa $ ragrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave ^eJ H aocirc a $ jj $ ad s jOtilde cent aacute uuml]timesa $ szliglOumlcopytimesdj ^eJ H aocirc a $ jj fagrave $ adfj

9J H jY_ZaringN`PJordmagrave H JUO^ H [WNih^Y s ^curreniquestYZQcO[frac34admacrjiexclNPO^JOQ H Qc[]OYadmacr e macrS]jeWFJ[PJ H aringfcQZUcedil iacute Otilde aacute sup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j $

aacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ uuml times a $ szliglOuml times j frac12sup1a $ j $fcQZUcedil iacute Otilde cent aacute uuml]timesa $ szliglOumlcopytimesdj^QVUKafrac34frac12 j $

O^ Y[Xiacute[Ph H MeJgNtildejfRJLhQsNPO ^eJLhQVUiN H QVUPJSeWFJgO^Oaring ocirc|adOuml times szlig_frac12jumlaacuteyacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ amacrreguumlStimesYa $ szliglOumlcopytimes)j frac12sup1a $ j7 uuml]timesYa $ szliglOumlcopytimes)j^QVUKafrac34frac12sup1a $ jjj $aacute uumlnotraquotimes a $ szliglOuml times szlig_frac12j $ ^QVUKaduuml times frac12j $ ad j

MeJUO NiKKfVmWQcO[ H MJ hJLJUOWVAQRJZ NPOO H MeJL[PhZJZQcO ad jeWNtildeJ5ONPfcfmtimes[Pcent H NPQcOOaring ocirc|adOumlcopytimesszlig_frac12jOcircaacute uuml raquotimes a $ szliglOumlcopytimesUcircszlig_frac12j $ uacutefrac14 5 uuml]timesYafrac34frac12 eacuteAgraveiquestsup1AacuteAtildeAcircj THORN adS]jWMJLhZJ5eacuteAgraveiquestsup1AacuteAtildeAcircyQcY H MeJUacutejOQ H QcOOgraveWNih^ Oe[PhlZaringNPf H [ aelig OumlcopytimesUcirc^MeJ_NtildejfRJLhQcNPO ^eJLhQVUiN H QVUPJQcY(O[ H JU^ ocirc raquo aagravej(QcO H MeJaumlKNiKEgraveJLhNPO^ H MeJaumlYZMNiKEgraveJauml^eJLhQU~N H QVUPJyuuml raquotimes QcY(Oe[ H JU^ frac14 frac14 ^iquest acutemicrosup1cedilFLft not [PhyYQZOslashKfcQsbLQ H mSeWNtildeJ(bM[[]YJ H MeJcopyXiacute[]fcfR[WQcO[_U~NihQsN H QR[]OaeligQcO H MeJKhZ[B[SXaring$ aagravejaacute $ agrave3frac12sup1a $ j^MJiexclKh[[SXZaringNm NPfcYZ[IacutecentEgraveJiexcl^JUPJUfR[PKEgraveJU^WiexclQ H MZaring[PhZJ_[PJUOJLhNPfUiNihQcN H QR[]OYFYjbM NPYaring $ aagravejaacuteAacuteAgravea $ szligYagravejWQ H MAcircAgrave`NOslashYYZOslash[B[ H MXiacutejOb H QR[]ONPO^AcircAgravea szligYagravejcentQ ~5JUb H QVUPJS^

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ ffrac12OcircacuteIshyNT AcircE J(MNUPJ H [Otildebn[]ZOslashK-j H J H MJNtilde^QEgraveJLhZJUO HH JLhZaringY9[SXQa macr]j9QsOauml[Ph^eJLh H [Uacute[Pcent H NPQcO H MeJ

JUP[]fcj H QR[]OJBjN H QR[]O[SX H MeJ NPb H QUPJ bn[]O H []jehX[Ph H MeJ ^JUYZbnhQRK H [PhdYaumlcentNPYJU^Oacute[]OH MeJ(bn[U~NihQsNPObnJ ZaringN H hQVktimes^eJ H JLhlZ QcONPO H a2Ograveh]j^OgraveMeJ(bn[]ZOslashKj H N H QR[]OaringQcYampKEgraveJLhYXiacute[PhlZOslashJU^Xiacute[Ph H MeJIacute^eJUYZbnhQRK H [Ph_uuml thorn timesOslash yuml ^ q centUWQR[]jYZfmSeN YZQZ QcfcNihbn[]ZOslashKj H N H QR[]OabLNPOacent=JIacute^e[]OeJXiacute[PhOcircuuml thorn UgraveUcircUacuteUuml yuml ^ JiexclbLNPOaeligJkBKhJUYZYOcircuuml thorn timesOslash yuml NPYyNUacutebn[]ZTcent-QcON H QR[]Oaelig[SXgtXiacutejOb H QR[]OYamp^eJLKEgraveJUO^QcOF[[]O H MJOtildehZJ[]QR[]OwOuml timesOslash aring

uumlgtthorn times Oslash yuml a2atildeltszligaumlgtszligYagravejaacute`Ograveoacute m thorn timesOslash yumlaIgraveagrave thorn timesOslash yumlAtilde j cent ocirc adjWMJLhZJordmaacuteAuml85eWiexclQ H MAring8 H MeJordfXqjOb H Qc[]O QcO H h[B^jbnJU^ QcOpounda2Ograveh]je-NPO^aringm thorn timesOslash yuml aacute agrave thorn timesOslash yuml agrave thorn timesOslash yumlcent agrave thorn timesOslash yuml agrave thorn timesOslash yumlAElig agrave thorn times Oslash yumlCcedil agrave thorn timesOslash yumlEgrave agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlEgrave j cent agrave thorn times Oslash yumlcent aIgraveagrave thorn timesOslash yumlCcedil j cent agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlAElig j centWQ H MOaring EFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFH

agrave thorn timesOslash yuml aacute w$ thorn yuml aOtilde S times Oslash j cent atilde aumlagrave thorn timesOslash yumlcent aacute w$ thorn yuml aOtildeOgravecent Scenttimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yuml aacute w$ thorn yuml aOtildeS Stimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yumlAElig aacute w$ thorn yuml aOtilde S times Oslash jaOtildeOgravecent ScenttimesOslash j atilde aumlagrave thorn timesOslash yumlCcedil aacute w$ thorn yuml aOtilde S times Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlEgrave aacute w$ thorn yuml aOtilde cent S centtimes Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlAtilde aacute w$ thorn yuml atilde auml O^ Y[ H MJordfXiacutejOb H QR[]OY aelig thorn timesOslash yumlauml MNUPJ H MeJgXiacute[]fcfR[WiexclQcO[aeligJkBKhZJUYZYZQR[]OYaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

aelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlcent aacute aOtilde cent S centtimesOslash j centaelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlAElig aacute aOtilde S timesOslash jaOtilde cent S centtimesOslash jaelig thorn times Oslash yumlCcedil aacute aOtilde S timesOslash jaOtilde S timesOslash jaelig thorn times Oslash yumlEgrave aacute aOtildeOgravecent ScenttimesOslash jaOtilde13 StimesOslash jaelig thorn times Oslash yumlAtilde aacutemiddotf

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBnot h[]Z H MeJUYJaumlJkWKhZJUYYZQR[]OYeWFJOtildeJUNPYZQcfm ^eJU^jbnJ H MN H aring

$ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde aumlregaacute sEacutefrac12poundEcirc iuml

J H MeJUO MNUPJ H [Tbn[]ZaringKj H J H MeJ H JLhlZaringY eacute thorn times Oslash yumlauml XiacutehZ[]Z H MeJJkWKhZJUYZYQR[]OYamp[SXagrave thorn timesOslash yumlauml eWMQcbM fRJUNP^Y H [aringEFFFFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFFFFH

eacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideoslash aacute w$ thorn yuml uacute ouml $ordfdivideacirc uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIgrave yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H a timesOslash jjeacute thorn timesOslash yumlcent aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideacirc

aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIcirc yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideEuml aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideacirc thorn thorn uacute ouml $_divideIuml yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yumlAElig aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIuml aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideEuml uacute ouml $ordfdivideIuml thorn uacute ouml $_divideIcirc uacute ouml $ordfdivideIgrave yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlCcedil aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIcirc aacute w$ thorn yuml cent thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideacirc uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlEgrave aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIgrave aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideoslash uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlAtilde aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIacute aacute w$ thorn yuml thorn +ETH ouml $_dividethorn uacute ouml $ordfdivideIacute yuml Iuml 8 raquo aq^J H a timesOslash jj

O^centmJkWKhZJUYZYZQsO[ H MeJbn[UiNihQcNPObnJZaringN H hQVkpoundWQ H M H MJregXqjOb H QR[]OYagrave thorn timesOslash yumlauml NPYXiacute[]fcfR[WQcO[aring

timesOslashlaquoaacute 1NtildeNtildeNtildeNtildeNtildeNtilde3uacute ouml $ordfdivideoslashuacute ouml $ordfdivideIacute uacute ouml $_divideIumluacute ouml $_divideIacute uacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIumluacute ouml $ordfdivideIacute uacute ouml $_divideacircuacute ouml $_divideIacute uacute ouml $ordfdivideIgraveuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacute uacute ouml $_divideIgraveuacute ouml $_divideIacute uacute ouml $ordfdivideEumluacute ouml $ordfdivideIacute

6OgraveOgraveOgraveOgraveOgraveOgrave7 J H MJUO^eJU^jbnJSaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

eacute thorn times Oslash yuml aacute a fj thorn yuml ^eJ H aDC Ptimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlcent aacute a fj thorn centcent yuml ^eJ H aDC centcenttimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yuml aacute a fj thorn curren yuml ^eJ H aDC 4times Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlAElig aacute a fj thorn cent yuml ^eJ H aDC centtimes Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlCcedil aacute a fj thorn curren yuml ^eJ H aDC times Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlEgrave aacute a fj thorn centcurren yuml ^eJ H aDCcent4times Oslash j48 raquo aq^eJ H a timesOslash jjeacute thorn times Oslash yumlAtilde aacute amp^eJ H a timesOslash j48 raquo aq^eJ H a timesOslash jj

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ SWMJLhZJC EBtimesOslash QcY H MeJgZaringN H hdQk ^eJU^jbnJU^Xh[]ZOacutetimesOslasharingcentm YZjeKKhZJUYZYZQcOF[ H MeJyuuml UumlON hZ[WNPO^ H MJ I UumlON bn[]fcjFZaringOO^]MeJbn[]ZOslashKj H N H Qc[]OordmX[Ph H MeJ^eJUYZbnhdQRK H [Ph|uuml thorn UgraveUcircUacuteUuml yuml QcYyYQZaringQcfcNihNPO^WFJ H MeJUOOslashMNUPJNPfcf H MeJ(JkWKhZJUYZYZQc[]OY H [aumlbn[]ZOslashKj H J H MeJJUP[]fcj H QR[]OaeligJjN H QR[]OXiacutehZ[]Z H MeJg[PJUOJLhNPfOXiacute[PhlZIacutejfcNta macr]j^gtMQcYcopy[]QVUPJUY H MeJTJUP[]fcj H QR[]O JBjN H QR[]Osup1admacr s j^

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBΩ out

Objects

Γ

inΩ

inΩ

Background Part

-t not Upv copy ETHEgraveIcircAtildeampAacuteiacuteCcedil=AumlFcedilAtilde5ordm|sup1Aumldraquo~AElig9AumldOgravefrac14raquoUacutesup1Igravefrac14dordm|Atilde

Ω

Ω out (τ)Ω

(τ)in

N

Γ(τ)

Ω

N

v

w

N

-t not Upv ETHEgraveIcircAtildeyEcircAumldIgravefrac14dsup1raquo~AEliggfrac14raquoiEcircAacuteIcircAtilde$AcircnAtilde5AgraveAacuteAumlcedilAEliggsup1raquoUAcircnAumldfrac12AcircnAtildeEcircsup1raquoiexclAacuteIcirc~Atilde$EcircAtildecedilsup1Acirc|frac14ZAacutesup1Aumldraquo

uumlnyacutenthornnyumll13YSordmY_F2ordf

yenKbrvbarsect =4 acirc $ Smacr

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 Atilde|IumligraveAacuteAtildecedil4frac14ZAacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvyzU eacuteWsup1ordm|AringcedilAtilde5AEligfrac14iquest Eacuteiquest AgraveJ]iUumlAcircnAumldfrac12AringAacutesup1Auml|raquoOtildeAumlOgraveeAacuteIcirc~Atildeyfrac14dAgrave Aacutesup1Acirc|Atilde0AgraveAuml|raquoLAacuteAuml|AringcedilIgravefrac14raquoifrac14ordm|AtildeEcircUacuteEacuteLfrac34AacuteIcirc~AtildefTHORN$Uuml v qzqwsup1raquo~Agrave5frac12AringiEcircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquoifrac14frac12ampAacuteAtildecedilIgrave(AElig5IumlgeacuteWsup1ordm|AringcedilAtilde5AEligOtildeEcirc]iquest Atildediquest Ograve] g sup1AEligwAringifrac14frac12sup1Ocirc5frac14Aacutesup1Auml|raquo`AumldOgrave0AacuteIcirc~AtildeTAgrave5AumldcedilwcedilAtilde5AEligwOumlPAumldraquoiEcircsup1raquoordmAcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 OgraveuAring~raquoAgraveAacutesup1Auml|raquosup1raquo~Agrave5frac12Aring~Ecircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquo~frac14dfrac12ampAacuteAtildecedilIgrave(AEligraquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirc EacutePAtildeAacuteiacuteCcedil=Atilde5Atilde5raquo ugrave frac14draquoiEcirc divide JUiquestAEligwAring~Agrave4IcircTAacuteIcirc~frac14Aacute$AacuteIcircAtilderaquo~Atilde5ordm|frac14Aacutesup1AcircnAtildeAcircdfrac14dfrac12AringAtilde5AElig0frac14cedilAtildefrac12AumlCcedilEgraveAtildecedilyAacuteIcirc~frac14draquo uacutedivide Uacutefrac14raquoiEcircaumlAacuteIcirc~AtildeOumlPAumldAEligwsup1Aacutesup1AcircnAtilde(Aumldraquo~Atilde5AEligyfrac14ZcedilAtilde(Icirc~sup1ordm|IcircAtildecedilAacuteIcircifrac14raquo uacuteZdivide Iuml

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

Ecirc]Iumligraveraquo~sup1currenAacutesup1frac14dfrac12BAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 Atilde|IumligraveAacuteAtilde cedil4frac14Aacutesup1Auml|raquo ugravedugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not Upv ucirc eacuteWsup1ordmdAringcedilAtilde5AEligtimesfrac14iquest Eacuteiquest AgraveJ]ampUumlAcirc|Auml|frac12AringAacutesup1Auml|raquoAumlOgrave(AacuteIcirc~Atildearingfrac14AgraveAacutesup1AcircnAtildeOslashAgrave5Auml|raquoLAacuteAumldAringcedilIacuteIgravefrac14draquoifrac14ordm|AtildeEcirc`EacuteUfrac34AacuteIcircAtildeOcircfTHORN$Uumlv q w iquestiexclCcedilgsup1currenAacuteIcirc~AumldAringAacuteAacuteIcirc~Atildefrac14dEcirc~Ecircsup1Aacutesup1Aumldraquoifrac14dfrac12TAacuteAtildecedilIgrave(AElig5IumliexcleacuteWsup1ordm|AringcedilAtildeAElig Ecirc]iquest Atildediquest Ograve] g sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo AumlOgraveaeligAacuteIcirc~AtildeAgraveAumldcedilwcedilAtildeEumlAEligwOumlPAuml|raquo~Ecircsup1raquo~ordm AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 OgraveregAring~raquo~Agrave Aacutesup1AumldraquoeumlCcedilgsup1currenAacuteIcirc~Auml|AringAacuteIacuteAacuteIcircAtilde frac14|Ecirc~Ecircsup1currenAacutesup1Aumldraquoifrac14frac12FAacuteAtildecedilIgrave(AElig v raquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirceumlAEligwAring~Agrave4Icirc AacuteIcirc~frac14AacuteIgravefrac14icirc vOOtilde wpOumldivide z w Iuml

uumlnyacutenthornnyumll13YSordmY_F2

S $amp)(+-)013021+345627893lt=gt9A6CB

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIumligravesAacuteAtildecedil4frac14Aacutesup1Aumldraquogt ugrave|ugrave AgravedIumlieacuteWsup1raquoifrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12Acirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 AtildedIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIumlieacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvtimesLg sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo(AumldOgravePAacuteIcirc~AtildeAtildeAcircnAuml|frac12AringAacutesup1AumldraquoAumldOgravePAacuteIcircAtildeEgraveAgrave5Auml|raquoLAacuteAumldAringcedil-frac14draquo~EcircNtildeAacuteIcirc~AtildeEgraveAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 v Ccedilgsup1AacuteIcircAuml|AringAacuteAacuteIcircAtildeEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircFAacuteAtilde cedilIgrave w OgraveregAumldcedilEgraveAacuteIcircAtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoAumlOgraveAacuteIcircAtilde9Ograveufrac14dAgrave5AtildeAring~AEligwsup1raquo~ordmyAacuteIcirc~Atilde9Agrave5AumlZAcirc|frac14Zcedilsup1frac14draquo~AgraveAtildeIgravefrac14Aacutewcedilsup1currenicirc]Iuml

frac14Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcircnAtilde EacuteIumligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 v AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde w Agrave|Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacutefrac34 v Acircdfrac14cedilsup1frac14draquoAgrave5Atilde w-t not Upv h=AumldIgrave(Oumlifrac14cedilsup1AEligwAumldraquoOtildeAumldOgraveAacuteIcirc~Atilde$sup1raquo~sup1currenAacutesup1frac14dfrac12eAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34iexclAgrave5Auml|Igrave(OumlAringAacuteAtildeEcircAringAEligwsup1raquo~ordmAacuteIcirc~Atilde$AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde0Igravefrac14Aacutewcedilsup1currenicircv iordmdAringcedilAtildeFEacute w AacuteAumliexclAacuteIcircAtildeAuml|raquoAtildeFAgrave5AumldIgrave(Ouml~AringAacuteAtildeEcircTAringAEligwsup1raquo~ordmiexclAacuteIcircAtildeFAcircdfrac14cedilsup1frac14draquoAgrave5Atilde v ~ordm|AringcedilAtildeFAgrave w OgraveregcedilAumldIgrave AacuteIcirc~AtildeNtildeAEligfrac14dIgrave(Atildesup1raquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcirc|Atilde v iordmdAringcedilAtilde$frac14 w Iuml

uumlnyacutenthornnyumll13YSordmY_F2_a

yenKbrvbarsect =4 acirc $ ]z

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv Oslash| THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5AtildeccediliacuteAtildecedilsup1UgraveUegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_o

Si $amp)(+-)013021+345627893lt=gt9A6CB

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv ordf THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5Atildeccedilqfrac14dUgraveUsup1currenfrac34LAumldegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_y

RR-0114-SJEHANpdf
  • wwwi3sunicefr
    • httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf
Page 15: LABORATOIRE INFORMATIQUE, SIGNAUX ET SYSTEMES DE …mh/RR/2001/liste-2001.pdf · 2002. 6. 27. · [Dir01] DIRAT L. “Outils pour des Mathématiques Interactives et Distribuées”

yenKbrvbarsect =4 acirc $ macr ^ ^)+ltIgraveFEgrave-+13IgraveigraveEacute10Igrave22IcircETH313Oacute4 EgraveOIgrave54EacuteshyOacute76EcircgtNtildeltIcircIgrave8 Iacute_IgraveETH39ltEacute8QIcircshyIcirclt2Oacute4Ntilde=KETH3gt+ltIgrave=EacuteshyOacuteshyETHEacute1EgraveIcirc MQcfRJiexclNPONPfVmWYZQcO[aumlhJ[]QR[]OWVcentNPYJU^ NPb H QVUPJUacutebn[]O H []jhYNiKKhZ[]NPbdMeJUYeWNtildeJ5ZaringNm bn[]OWVYZQs^eJLh H MehZJLJyZaringNPQsO QZOslashKEgrave[Ph H NPO H K=[]QsO H Yaring MN H NihJ H MeJT^QV=JLhZJUO H ^eJUYZbnhdQRK H [PhY(jYZJU^BA iexcl[WQcY^eJLhdQVUPJU^ H MeJaumlJUP[]fcj H QR[]O JBjN H QR[]OXiacutehZ[]Z H MeJaumlbnhdQ H JLhQR[]OCA iexcl[WQcYQZaringKfRJZOslashJUO H JU^ H MeJaumlNPb H QVUPJtimesbn[]O H []jehANtildeQR[]OeJLJLhcopyWF[PhY`BY(MNUPJaumlcentEgraveJLJUO KhZ[PKEgrave[]YJU^ centma)vF[]MeJUOJ H NPfd^VefhShSgt[]OXqNih^OefhShj^5ONPOJUNihdfVmpoundWF[PhY`gte|vF[]MJUOJ H NPfd^ua)vF[]MeJUO7J H NPfd^VeufhShS]jIacuteKhZJUYZJUO H NYZjhYXiacuteNPbnJ$hJUbn[]OY H hjb H Qc[]OgZOslashJ H Me[W^TjYQcO[hZJ[]QR[]OWVcent-NPYJU^aumlNPb H QVUPJFbn[]O H []jehdY^MJmbn[]ZOslashK-j H J H MeJUPJUfR[WbLQ H mpoundUPJUb H [Phaelig[SXNPO7NPb H QVUPJ bn[]O H []jhXiacutehZ[]Z H MeJZaringQsOQZaringQVcurrenUN~VH QR[]O[SXampNOslashbnhQ H JLhdQR[]OQcObLfcj^QcO[aumlhZJ[]Qc[]OWVcentNPYJU^ H JLhZaringY^ Oe[ H MeJLh(KQR[]OJLJLhuWNtilde[PhY`MNPYaumlcent=JLJUOK=JLhlX[PhlZaringJU^QcO a[]OXqNih^OeOcircfhShj^iexclJ NPYZYJUYZYZJUY H MN HTH MeJUPJUfR[WbLQ H mXqjOb H QR[]O YZMe[]jfc^aringcent=JKhZ[PKEgrave[Ph H QR[]ONPf H [ H MeJUacute^QEgraveJLhZJUObnJ[SXgY H N H QcY H QcbLNPfXJUN H jehJUYaringccedilaacute uuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml eOgraveWMJLhZJ_uuml thorn timesOslash yuml QsY0NaumlY H N H QsY H QcbLNPfKZOslash[B^JUfe[SX H MeJ[Pcent~JUb H hJ[]QR[]ONPO^tuuml thorn UgraveUcircUacuteUuml yuml N Y H N H QcY H QcbLNPfshyZOslash[B^JUfEgrave[SX H MJaumlcentNPbY`[PhZ[]jO^ hZJ[]QR[]OO^

G []ZOslashJaumlNiKKhZ[]NPbdMeJUY(Kh[PK=[]YZJ H [ bn[]ZOslashKj H J H MeJOtildeJUP[]fsj H QR[]OJBjN H QR[]O [SX H MeJNPb H QVUPJtimesbn[]O H []jhUacutejYZQcO[ H MeJ hZJLJUOWVAiexclQRJZaringNPOO H MeJL[PhZJZ NPO^wNtildejfRJLhVAN[PhNPO[PJJBjN H QR[]OY^OEgraveMBjeumlNPO^frac340jQcfcfcJoa)EgraveMBjNPO^frac340jQcfcfcJSeltfhShS]jKhJUYJUO H NY H N H QcY H QcbLNPfXiacutehNSZOslashJWF[PhY`poundXiacute[PhOslashQZaringN[PJYJ[]ZOslashJUO H N H QR[]OjYZQsO[aNPONPfV[P[PhQ H MZbLNPfsfRJU^n5hJ[]QR[]Obn[]ZOslashKEgraveJ H Q H Qc[]OFp^MeJm^eJLhQVUPJ H MeJeumlNPb H QVUPJbn[]O H []jehJUP[]fcj H QR[]O JBjN H QR[]O centmZaringQsOQZaringQVcurrenUQsO[aringNo[PJUOeJLhNPfcQVcurrenLJU^XNmPJUYDi_wiexcl bnhQ H JLhdQR[]O`QsOYKQRhJU^centm H MeJaring_`jFZaeligVXiacute[Ph^OacuteNPO^ G MNPMJUOeJLhY[Smicircaw_ajFZX[Ph^7NPO^ G MNPMOefhSiSh]j^OcircMeJmKhZ[PKEgrave[]YJ H MeJXiacute[]fcfR[WQcO[aelig^eJUYZbnhQcK H [PhYcopyXiacute[Ph H MeJaumlYJ[]ZaringJUO H N H QR[]O`[SXampY H QcfcfQZ N[PJUYaringEFG FH uuml thorn UgraveUcircUacuteUuml yuml aacute JILK NMregaOtildeKa2atildeshyszligaumlFjPORQ UgraveUcircUacuteUuml juuml thorn timesOslash yuml aacute JILK NMregaOtildeKa2atildeshyszligaumlFjPORQtimesOslashjuuml thorn otilde)yuml aacuteTS admacr]jWMJLhZJUMrega)j9QcY9NiexclKhZ[Pcent-NicentQcfcQ H m^JUOYZQ H m5XqjOb H Qc[]OOeQshytimesNihZJ H MJNtildeKNihdNSZOslashJ H JLhY[SX H MeJ^QsY H hQRcentj H QR[]OX[Ph H MeJaelighZJ[]Qc[]OBVNPO^CSQcYUacuteN KEgrave[]YZQ H QUPJIacutebn[]OY H NPO H ^ not [PhaumlQcfsfcjY H hN~VH QR[]OYe H MeJNPj H Me[PhdYybn[]OYZQc^JLh NPjYZYZQsNPOOslash^QcY H hQccentj H QR[]OYbMNihdNPb H JLhQVcurrenLJU^ centm H WF[KNihdNSZOslashJ H JLhYe H MeJZaringJUNPOIacuteNPO^ H MeJ|UiNihQcNPObnJS^ q ObnJ H MeJWQtimeskWJU^Oe H MeJ0JUP[]fcj H QR[]OJBjN H QR[]O[SXNPONPb H QVUPJ bn[]O H []jhaeligQsYIacutebn[]ZOslashK-j H JU^NPO^^QchZJUb H fVm^eJLhQUPJU^poundXiacutehZ[]ZH MeJbnhdQ H JLhQR[]OO^SMJbLfcNPYZYZQcbLNPfe^JLhQVUiN H QVUPJ([SX H MJ(cent=[]jO^NihYmVcentNPYJU^ H JLhlZ fRJUNP^YH [ H MeJtNtildejbLfcQc^QcNPOpound[PJL[]ZOslashJ H hdQcbMeJUN HYX [Wg^OcircMeJ ^eJLhdQVU~N H QUPJ [SXiexclhZJ[]QR[]OWVcent-NPYJU^H JLhlZ Y QcY H MJUOKEgraveJLhYXiacute[PhlZOslashJU^jYQcO[ H MeJ hZJLJUOWVAQcJZaringNPOO H MeJL[PhJZ NPO^ H MeJNtildejfRJLhVAN[PhNPO[PJaJBjN H QR[]OY^5O^eJLJU^e H MeJeumlbn[]ZOslashKj H N H Qc[]O [SX H MeJaJUP[]fcj H QR[]OJBjN H QR[]OQsYK=JLhlX[PhlZaringJU^ QcO H MehZJLJyZ NPQcO Y H JLKYaringf^Q9hNPOYX[PhZaringN H QR[]Oeuml[SX^e[]ZaringNPQcOQcO H J[PhNPfcYTQcO H [ centEgrave[]jO^NihYmaQcO H J[PhNPfcYTjYZQcO[

H MeJ hZJLJUOeVAQRJZaringNPOO H MeJL[PhZJZ^

uumlnyacute|thornLyuml13

$amp)(+-)013021+345627893lt=gt9A6CB ^vF[]ZOslashKj H N H Qc[]O [SX H MJy0jfcJLhVA9N[PhNPOF[PJOtildeJjN H Qc[]OY^ltO H hZ[W^jb H QR[]O[SXiexclNeuml^mWONSZaringQcbLNPfFYZbdMeJZOslashJ QcO H MeJ0jfRJLhZVA9N[PhNPO[PJ JBjN~V

H QR[]OYQcO [Ph^eJLh H [aeligbn[]ZaringKj H J H MeJ5UPJUfR[BbLQ H mregUPJUb H [Ph[SX H MeJOtildeNPb H QVUPJOtildebn[]O H []jh^MJ UPJUfR[WbLQ H mXiacutejOb H QR[]OoccedilQsY H MJUO bn[]ZaringKj H JU^NPO^Q H fcJUNP^Y H [ H MJ5Xiacute[]fcfR[WQcO[JUP[]fcj H QR[]OJjN H QR[]OOaring aelig Yacuteaelig agrave aacuteacircaduuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml S jeacute ad]jWMJLhZJ QsY H MeJ bLjehlU~N H jehJaring[SXuYacuteaagravej^5O[Ph^eJLh H [aQZOslashK-fRJZOslashJUO HOtildeH MQcYordf|iexcl eNN[PhNPO[]QcNPOXiacute[PhlZtimesjfcN H QR[]O QsY(jYJU^O^JUbnJUO H fmSeampNihN[]Qc[]YNPO^frac34JLhQcbdMeJaNihdN[]QR[]YOtildeNPO^iexclJLhdQcbMeJSefhShSh]jegMNUPJKh[PK=[]YZJU^ NPOJk H JUOYZQc[]O[SX H MeJordfWF[PhY` [SXOcircEgraveMBjNPO^o0jQcfcfcJcentm QZOslashKhZ[UWQcO[ H MeJ^eJUYbnhQRK H [Phaelig[SX H MJbn[]O H []jeh QcO7[Ph^eJLh H [QcObn[PhK=[PhdN H J H MJQCZaringN[PJ[PhNP^QRJUO HNPYiexclQcO[PJL[W^eJUYZQcbIacuteNPb H QVUPJtimesbn[]O H []jehY^gtMeJTJUP[]fcj H QR[]OaJjN H Qc[]OaQcYiexclQZOslashKfRJZaringJUO H JU^jYQcO[ H MeJ(fRJUPJUfBYJ H ZOslashJ H Me[W^aeligQcO H hZ[B^jbnJU^aumlcentm q YZMJLhNPO^ G J H MQcNPOoa q YZMeJLh$NPO^G J H MQcNPOOeltfhSiSi_aNPfcfsNP^Q9J H NPfd^VefhShSmacr G J H MQcNPOOeltfhShS]j^ UPJLhYm QcO H JLhJUY H QcO[KNih H [SX H MQsYyWF[PhY`Oacutebn[]ObnJLhdOY H MeJ QsO H hZ[W^jb H Qc[]O[SXY[]ZOslashJ^eJUYZbnhdQRK H [PhYlaquouuml thorn timesOslash yumlNPO^uuml thorn UgraveUcircUacuteUuml yuml X[PhNiKKfcQsbLN H QR[]OYfcQV`PJ H Jk H jehZJFYJ[]ZOslashJUO H N H QR[]OtimesNPO^gZOslash[UBQcOF[[Pcent~JUb H Y^eJ H JUb H Qc[]OO^

G []ZOslashJT[ H MeJLhUacuteNiKKh[]NPbMeJUYlaquoa)vMN`BhNicentEgrave[Ph H mJ H NPfd^VeltfhShSvMeJUYONPj^ J H NPfd^VefhShSh]j9KhZ[PKEgrave[]YJ H [OtildebMe[B[]YJ(N H JUNPbdMOslashY H JLK H MeJ^QcYKfsNPbnJZOslashJUO H [SX H MeJNPb H QVUPJ(bn[]OWVH []jeh H MN H ZaringN`PJUY H MeJybnhQ H JLhQc[]OOtilde^eJUbnhZJUNPYJS^SvMN`BhNicentEgrave[Ph H miexclJ H NPfd^a)vMN`hNicentEgrave[Ph H mJ H NPfd^VecopyfhShS]jtimesQcO H h[B^jbnJ N`hZJ[]QR[]OWVcentNPYZJU^7NiKKhZ[]NPbMxXiacute[Ph H MeJ YZJ[]ZOslashJUO H N H Qc[]O[SXQZOslashJU^QcbLNPfQZ N[PJUY^ iexclYQcOeKj H [SX H MJUQRhNPfV[P[PhQ H MZe H MeJm bn[]OYQc^eJLh(centEgrave[ H M H MeJNPb H jNPf9QZaringN[PJgOtilde NPO^ H MeJOtildehZJ[]QR[]OWV4bLfsNPYZYZQVJU^ QCZaringN[PJgOtildeoslash^FMeJOtildebLfcNPYZYZQVJU^ QZaringN[PJOtilde oslash QcYiexclbn[]ZOslashKj H JU^`centmwZaringNkeQZaringQVcurrenUQcOF[ H MeJTKEgrave[]Y H JLhQc[Ph^QsY H hQRcentj H QR[]O [SX H MeJThJ[]QR[]OfcNicentEgraveJUfcY[]QUPJUO H MeJQcO H JUOYZQ H maeligQZaringN[PJS^MeJUQRh0hZJ[]QR[]O H JLhlZ JUOXiacute[PhbnJUY H MJcentEgrave[]jO^WVNihYm H [JUObLfc[]YJaringNYZQcOF[]fRJaelighZJ[]QR[]OQcOumlOtildeoslash^MeJaring^JUYZbnhQRK H [PhdYOtildeNihZJ H MeJXiacute[]fcfR[WQcO[WQ H M H MeJauml^QEgraveJLhZJUObnJ H MN HH MeJmWFNPO HH [regZaringNkeQZaringQcurrenLJ H MJTbnhQ H JLhQc[]OocircaringEFG FH uuml thorn UgraveUacuteUuml yuml aacute[Z] Otilde oslash a2atildeltszligaumljuuml thorn times Oslash yuml aacute suuml thorn otilde)yuml aacute[Z cent Otilde_^Ogravea2atildeshyszligaumlFj a)zSjWMJLhZJ]Z NPO^`Z cent NihZJ H WNtilde[7KEgrave[]YZQ H QVUPJbn[]OY H NPO H YNPO^ Otilde_^aQcY H MeJfrac34[PhNP^QRJUO HQZ N[PJS^ KhQc[PhYMNiKEgraveJ H JLhZDQcY(NPfcY[OslashNP^^eJU^ H [ H MJaumlbnhQ H JLhQR[]OeWiexclMQcbMbLNPO centEgraveJQcO H JLhZJUY H QsO[gXiacute[PhZOslashJU^QcbLNPf-QCZaringN[]QcO[gWiexclMeJLhZJ H MJiexclON H jehJ[SX H MeJYZMNiKEgraveJiexcl^[JUYFOe[ HbdMNPO[PJNaumlfc[ H Xh[]Z2QcO^QUBQc^jNPf H [TQsO^QVUWQc^jNPf)^MeJUOeiNPYNtildeQcOwa)EgraveMBjaringNPO^ordm0jQcfcfRJSefhShS]je H MeJWMe[]fRJaumlKhZ[PcentfRJZ QsY(hZJU^jbnJU^ H [ bn[]ZaringKj H QcO[ cent=[]jO^NihYm QcO H J[PhdNPfcYH MNPOF`BY H [ H MeJ hZJLJUOWVAQcJZaringNPOO H MeJL[PhZJZte(hN H MeJLh H MNPO centEgrave[ H M centEgrave[]jO^NihYmNPO^ ^[]ZaringNPQcO QcO H J[PhNPfcY^yacuteMeJQZOslashKfRJZaringJUO H N H QR[]O [SX H MeJNPb H QVUPJ7bn[]O H []jhaQcOa)vMN`hNicentEgrave[Ph H mJ H NPfd^Ve fhShS]jaringQcYaring^e[]OeJacentmjYZQcOF[N not []jehQcJLharingKNihNSZOslashJ H JLhdQVcurrenUN~VH QR[]O^yacuteMeJJkWKhZJUYZYZQc[]O [SX H MeJumlUPJUfR[WbLQ H mAumlUPJUb H [Ph [SX H MeJOacuteNPb H QVUPJ7bn[]O H []jeh QcY

uumlnyacute|thornLyuml13 a

yenKbrvbarsect =4 acirc $ zOe[ H bn[]ZOslashKj H JU^OeNtildecentj HOslashH MeJ bnhQ H JLhQc[]OQcYaringQcO H hZ[W^jbnJU^NPO^ OBjFZOslashJLhQcbLNPfsfVmOacuteJUiNPfuVjN H JU^ QsO [Ph^eJLh H [ ZaringNkeQZaringQVcurrenLJQ H ^ JbLNPO Oe[ H J H MN HH MJeumlNPj H Me[PhYMNUPJKh[PK=[]YZJU^ NlaquoUPJLhYm QcO H JLhZJUY H QcO[aeligJk H JUOYZQR[]O [SX H MQcYWNtilde[Phl` jYQcO[ H MJ5[]NSZaringJ H MeJnV[PhYma)vMN`BhNicentEgrave[Ph H m NPO^jObLNPOOeOfhShSh]j^J[]Qc[]O NPO^ cent=[]jO^NihYmOslashbnhQ H JLhdQR[]OYNihZJYJLKNihdN H JU^OePcentj H JUNPbMaringbnhQ H JLhQR[]Otimesbn[]O H NPQcOY$NPOtimesQsO H JLhNPb H Qc[]OlaquoWQ H M H MeJ[ H MeJLh^ Y H MJ_[]NSZOslashJKhZ[S[PhJUYZYJUYeBcentEgrave[ H MZOslash[W^jfcJUYyQZOslashKh[UPJ H MeJUQRh0KEgrave[]YZQ H QR[]OY H MhZ[]j[]MZtimesj H jNPfQcOFX[PhlZ N H QR[]O YZMNihQsO[^

Oe[ H MeJLhIacuteYZQZaringQcfsNihUacuteNiKKhZ[]NPbMMNPYaumlcentEgraveJLJUOQcO H hZ[W^jbnJU^eumlcentmbvMeJUYZONPj^eumlJ H NPfd^a)vMJUYZONPj^ J H NPfd^VefhShSh]j^FMeJUQchNtilde^eJUYZbnhdQRK H [PhYFNihZJhZJnVJU~NPfsjN H JU^ JUNPbM H QZOslashJUacuteNKEgrave[]QcO H [SX H MJNPb H QVUPJbn[]O H []jehFJUP[]fVUPJUY0YZQsObnJ H MeJUQRh0^JUYZbnhQRK H [PhdY$NihZJY H N H QcY H QcbLNPfXiacuteJUN H jehZJUYOtilde[SX H MeJ QZaringN[PJordm[]fR[PcentNPfsfVm`N HH NPbdMeJU^ H [ H MeJOslashJUP[]fVUWQcO[ hZJ[]Qc[]OY^shyMJmbdMe[[]YZJ H MeJ`hNPO^e[]Z ^QcYKfsNPbnJZOslashJUO H [SXaumlNOacutebn[]OYZQs^eJLhZJU^ KEgrave[]QcO H [SX H MeJ NPb H QVUPJbn[]O H []jehOslashY[ H MN HIacuteH MJ bnhQ H JLhQR[]O7^eJUbnhZJUNPYJUY^$ _X H JLhaeligJUNPbdM ^QcYKfsNPbnJZOslashJUO H [SXNKEgrave[]QcO H [SX H MeJIacuteNPb H QVUPJIacutebn[]O H []jehe H MJT^eJUYZbnhQcK H [PhY(NihZJOtildehZJnV4bn[]ZaringKj H JU^O^

fcN H JLh NiKKhZ[]NPbdM MNPYaringcentEgraveJLJUOQcO H hZ[W^jbnJU^ centm G NSZaringY[]O J H NPfd^_a G NSZ Y[]OJ H NPfd^Ve sSsSs jyacuteXiacute[PhOtildebLfcNPYZYZQbLN H QR[]OaNPO^acentmvMNPO NPO^frac34$JUYJa)vMNPOeumlNPO^frac34$JUYJSesSs fjX[PhaYZJ[]ZOslashJUO H N H Qc[]O [SXaeligY H QcfcfOtildeQZ N[PJUY^yacuteMeJm KhZ[PKEgrave[]YJ H [JZIacutecentEgraveJU^ H MeJbnhQ H JLhQR[]O ^QRhZJUb H fVm`QcO H MJaeligfcJUPJUf$YJ H X[PhlZtimesjfcN H Qc[]OO^Ov(MNPOeumlNPO^$JUYJOslashKhZ[PKEgrave[]YJH MeJordfXiacute[]fcfR[WQcO[Oslash^eJUYbnhQRK H [PhYaringEFG FH uuml thorn UgraveUcircUacuteUuml yuml aacutecb7d Otilde e f centUhguuml thorn timesOslash yuml aacutecb cent Otilde e cent centuuml thorn otilde)yuml aacuteiS adi]jWQ H M e H MeJ NUPJLhN[PJ[SXgOtildeQcOicircOuml timesOslash e e cent H MJ`NUPJLhdN[PJ[SXgOtilde7QsO OumluUgraveUcircUacuteUuml^MeJUYJH WNtilde[ UiNPfcjeJUY NihZJhJnVJUY H QZaringN H JU^ ^jehQcO[ H MeJKhZ[PK-N[]N H QR[]O [SX H MeJbLjhYUPJNPYH MeJaelighZJ[]Qc[]OYJUP[]fVUPJS^shyMeJtimesKNihNSZaringJ H JLhYjb e1b cent egeumlNPO^kSNihJaringY[]ZOslashJaeligKEgrave[]YZQ H QVUPJbn[]OY H NPO H Y^iexclJLhZJ H MJ fRJUPJUfFYJ H ZOslashJ H Me[W^QsYIacute^QchZJUb H fVmjYJU^OacutecentmhJLKhZJUYJUO H QcO[H MeJtimesbLjehYUPJlaquoYacuteaagravejNPY H MeJycurrenLJLhZ[fRJUPJUfampYJ H [SXyNQRKYZbdMQ H currenTbn[]O H QcOBje[]jY_XiacutejOb H QR[]Ol a2atildeshyszligaumlKszligYagravej^]MeJfRJUPJUfWYJ H XiacutejOb H QR[]O l QcYQsO H hZ[W^jbnJU^timesQcO H MeJbnhQ H JLhQc[]OUWQcN H MeJiexclJUNUWQcYZQc^JyacuteXiacutejOb H QR[]Onmra l j^MeJbnhQ H JLhQR[]O QcY H MeJUOoZaringQcOQZaringQVcurrenLJU^WQ H M hZJUYKEgraveJUb HH [ l jYZQcO[OslashNaelighZJ[]jfcNihQVcurrenLJU^UPJLhYQR[]O[SX H MJyZaringQcOQCZaringQVcurrenUN H QR[]O KhZ[PcentfcJZ JIacuteOe[ H JMeJLhJ H MN HFH MeJJUP[]fcj H QR[]OaringJBjN H QR[]O QcY0^QRhZJUb H fVmtimesJkBKhZJUYZYJU^regWQ H M H MJiexclfRJUPJUf-YJ HXqjOb H QR[]O NPO^ Oe[ H WQ H M H MJTbLjehYUPJgYacute|^

G []ZOslashJ[ H MeJLhWNtilde[Phl`BYeBjYZQcOF[auml^QcY H hQccentj H QR[]O H MeJL[PhYmSeBMNUPJcentEgraveJLJUOaringKh[PK=[]YZJU^OslashcentmJLcenthZJUjFUPJaJ H NPf)^_aJLcenthZJUjUPJ J H NPfd^Ve sSs fjXiacute[PhZaringJU^QcbLNPfQCZaringN[]QcO[NPO^ centm 5ZaringNP^QRJUjJ H NPfd^shyaq _Z NP^QRJUj J H NPf)^VeshyfhShSh]jcopyXiacute[PhcentjQsfc^QcO[times^eJ H JUb H QR[]OO^not QcONPfcfVmSe~hZJ[]QR[]OWVcentNPYZJU^aringNPb H QVUPJbn[]O H []jehYNtildeNihZJNPfcY[OtildeKEgrave[WFJLhYXqjf H [[]fsYX[PhNtildebLfcNPY5VYZQbLN H QR[]Opounda13yJcurrencurrenUQJ H NPfd^VeshyfhShSh]j[Ph_ZOslash[ H Qc[]O^eJ H JUb H QR[]Oxaw_aNPOYZ[]jehQgNPO^wcOtilde[]OWVhNP^efhShSh]j^MeJZ N~5[PhOtildebn[]O H hQRcentj H Qc[]Oa[SXy[]jh5WF[PhY`aQsY H [KhZ[PKEgrave[]YJaeligNo[PJUOeJLhNPfQXiacutehNSZOslashJnVWF[PhY`X[PhaumlhJ[]QR[]OWVcentNPYJU^OacuteNPb H QVUPJ bn[]O H []jehY H N`BQcOF[QcO H [NPbLbn[]jO HIacuteH MeJaringbLNPYJ [SX

hZJ[]Qc[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhY^OgraveMeJ UPJUfR[WbLQ H mordmUPJUb H [PhF[SX H MJiexclNPb H QVUPJUacutebn[]O H []jh

uumlnyacute|thornLyuml13 o

i $amp)(+-)013021+345627893lt=gt9A6CBQcYUacutebn[]ZOslashK-j H JU^centm`QcO H hZ[W^jbLQcO[N ^mWONSZaringQcbLNPfampYZbdMeJZOslashJaring^QchZJUb H fVm`QsO H MJaringbnhQ H JnVhQc[]O H [frac34ZaringQcOQZaringQVcurrenLJaeligNPYTQcO aJLcenthJUjUPJ J H NPfd^Ve sSs f 5ZaringNP^QcJUjJ H NPfd^VefhShSh]j^iexcl[WFJUPJLheWFJ KhZ[PKEgrave[]YJ MJLhZJ N OJW Xiacute[PhlZtimesjfcN H QR[]O7[SX H MJ^JLhQVUiN H QR[]OjYZQcO[YZMNiK=JIacute[PK H QZaringQcurrenUN H QR[]O H [B[]fcY^ Q H M YjbM NZaringJ H Me[B^egtWFJtimesNihJaeligNicent-fRJ H [hZJUNP^QsfVmH N`PJQcO H [NPbLbn[]jO HaringH MeJ bLNPYJ [SXhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhY H MN H U~NihYm^jhQcO[ H MeJ KhZ[PKN[]N H QR[]O[SX H MeJ NPb H QUPJ bn[]O H []jeh^MeJUYJ ^eJUYZbnhQRK H [PhYTMNUPJH [centEgraveJtimesbn[]OYZQc^eJLhZJU^ YZQcObnJ H MJmaNihZJlaquoWQc^eJUfmjYJU^X[PhOtildejOYZjeKEgraveJLhYUWQcYJU^YJ[]ZaringJUOWVH N H QR[]O^ not [Ph(YZjbdM hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYbnhQRK H [PhYeOgraveWFJiexclYZMe[W H MN H NP^^Q H QR[]ONPfH JLhlZ Y0NiKKEgraveJUNihNtildeQsO H MeJJUP[]fcj H QR[]OaringJBjN H QR[]O [SX H MeJiexclbLjehlUPJ H MN H MNUPJUacuteOe[ H centEgraveJLJUOKhJUBQR[]jYZfVm bn[]ZOslashK-j H JU^O^

pE paraOacuteOgraveJJTIshyAgravesup1cedilqoacuteIshyacuteLcedilsup3UrltLcedilgtmicrobacuteNsMgtLtrraquoML iquest acuteAgravegtT2MKIOAacutelAcirclaquocedilFAtildeacuteNfrac12oRSJT13AringKacutepoundAEligMKIKJMgtPltLAtildeq jhyZaringNPQcOb[P[]NPfFfsQRJUYTQcO H MeJ JUfsNicent=[PhdN H QR[]O[SXNfrac34[PJUOeJLhNPfXhdNSZOslashJWNtilde[Phl`umlX[Ph H MeJYJ[]ZaringJUO H N H QR[]O7[SXNPO7QZaringN[PJQcO H WF[euml^Q=JLhJUO H hZJ[]QR[]OYtimesjYZQcOF[hZJ[]QR[]OWVcent-NPYJU^NPb H QVUPJIacutebn[]O H []jehdY^ JOtildeKhZ[PKEgrave[]YJ H [ZaringQcOQZ QVcurrenLJ H MeJiexcl[PJUOeJLhdNPfgbnhQ H JLhQc[]O a2jWiexclMeJLhZJUacuteJUNPbM hJ[]QR[]OQcYamp^eJUYbnhQRcentEgraveJU^TjYQcO[UacuteN_XqjOb H Qc[]OtimesbLNPfsfRJU^ n^eJUYZbnhQRK H [Ph[SX H MeJhZJ[]QR[]Op^i YampKhZJUWQuV[]jYfVmOtilde^eJ H NPQcfRJU^OeNiexcl^eJUYbnhQRK H [PhQcY9N XiacutejOb H QR[]O H MN H ZOslashJUNPYZjhZJUY H MJNtildeMe[]ZOslash[S[PJUOJUQ H m[SXyN hZJ[]QR[]OO^Egrave_[]Y H [SXyhJUfRJU~NPO H Y H N H QcY H QcbLNPf^eJUYZbnhQcK H [PhY^JLK=JUO^ H MeJZaringYZJUfVUPJUY[]O H MeJOslashhJ[]QR[]OO^ G []ZOslashJOslashJkeNSZOslashKfRJUYOtildeNihJordm[]QVUPJUOQcO G JUb^shy^ macr^ not [PhTJkWNSZOslashK-fRJSe H MeJhZJ[]Qc[]Oa^eJUYZbnhdQRK H [Phordfuuml thorn timesOslash yuml bLNPO centEgraveJTbM[]YJUOeumlNPY H MJyUiNihQcNPObnJvu centtimesOslash [SX H MeJThJ[]QR[]OOumlcopytimesOslashFeWMQcbdM[]QVUPJUYaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashj|aacute[u centtimesOslash aacutexw$ aOtilde SOtimesOslashjUcirccent atilde aumlw$ atilde aumlWMJLhZJSOtimesOslash QcY H MJyZOslashJUNPO [SX H MeJaumlhJ[]QR[]OwOumlcopytimesOslash^ G jbMaNaring^eJUYZbnhQcK H [PhQcY(ONSZaringJU^aNn5hZJ[]Qc[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhlpOslashYZQcObnJaumlQ H ^eJLKEgraveJUO^YF[]O H MeJaumlhJ[]QR[]OwOuml timesOslash ^q ObnJ H MeJTbnhdQ H JLhQR[]O QcYQcO H h[B^jbnJU^OeWNtildeJTKhZ[PKEgrave[]YJ H [ bn[]ZaringKj H J H MeJTJUP[]fcjWVH QR[]OUacuteJBjN H QR[]OT[SX H MJ0bn[]O H []jh H MN H WQsfcfZaringN`PJ0Q H JUP[]fVUPJ H [WNih^YNyacuteZaringQcOQCZIacutejFZ[SX H MeJTbnhdQ H JLhQR[]OjYZQcO[OslashNaringOeJWH0jfcJLhQcNPOZOslashJ H Me[W^O^ H XqjO^NSZOslashJUO H NPfcfVm ^QEgraveJLhYXiacutehZ[]Z2[ H MJLhFNiKKhZ[]NPbMeJUYFYZQcObnJyacuteWNtildeJ_`PJLJLK H MJ Xiacute[PhlZIacutejfcN H QR[]Oaring[SXhJ[]QR[]OY0QsOY H JUNP^[SXyhJU^jbLQcO[ H MeJWiexclMe[]fRJTKhZ[PcentfRJZ H [ centEgrave[]jO^NihYm QcO H J[PhNPfcY^gtO^JLJU^OeWFJlaquohY HQcO H hZ[W^jbnJFNiexcl^mWONSZaringQsbLNPfYZbdMeJZOslashJ(QcO H MeJ(bnhQ H JLhQc[]OIacuteNPO^ H MeJUOWFJbn[]ZaringKj H J H MeJNtildejfRJLhQcNPO`^eJLhQVUiN H QVUPJaelig[SX H MJOslashJUP[]fVUBQsO[ bnhQ H JLhQR[]O`centm`jYZQsO[ YMNiKEgraveJIacute[PK H QCZaringQVcurrenUN~VH QR[]O KhQsObLQRKfRJUY^]MQcYZOslashJ H Me[W^ KhZ[UWQc^eJUY H MeJUacuteNP^U~NPO H N[PJ H MN HH MeJ5U~NihdQcN H QR[]O[SXehZJ[]Qc[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYbnhQRK H [PhYltWQ H M H MeJFJUP[]fcj H QR[]OIacute[SX H MeJNPb H QVUPJ(bn[]O H []jhbLNPO centEgraveJOtildehZJUNP^QcfVm H N`PJUO`QcO H [ NPbLbn[]jO H ^MeJTbn[]ZOslashKj H N H QR[]Oa[SX H MJTJUP[]fcj H Qc[]OaJBjN H QR[]O`[SX H MeJIacuteNPb H QUPJtimesbn[]O H []jehOtildeQcYKEgraveJLhYXiacute[PhlZOslashJU^QcO H MehJLJyZaringNPQcO Y H JLK-Yaring

uumlnyacute|thornLyuml13 y

yenKbrvbarsect =4 acirc $ hf^ltO H hZ[W^jb H QR[]O[SX$NOslash^mWONSZaringQcbLNPfYbMeJZOslashJSaring JTYJUNihbdMX[Ph H MeJOtildeKNih H Q H Qc[]O[SX H MeJaumlQZ N[PJadOumlcopytimesOslashszliglOuml UgraveUcircUacuteUuml szligYYacutejWMQcbdMZaringQcOQuVZaringQVcurrenLJUY H MeJbnhQ H JLhQR[]Oocirc|adOumlcopytimesOslashgtszliglOuml UgraveUcircUacuteUuml szligYYacutej^eJUYZbnhQRcentEgraveJU^aeligQcOa2j^ MQcfRJNPYZYZjZaringQcO[

H MN H NPO`[PK H QZaringNPf9KNih H Q H Qc[]O JkWQsY H Ye H MJTQcYZYZjJTQcY H [ bn[]ZOslashKj H J H MQcYiexclY[]fcjWVH QR[]OO^ G QsObnJ H MeJ YJ H [SX(NPfcfy^e[]ZaringNPQsOYaumlMNPYIacuteOe[ H NaY H hjb H jehZJOslash[SXcopyUPJUb H [PhQsNPfYKNPbnJSeQ H QcYauml^Qz bLjf HUacuteH [abn[]ZOslashKj H J H MeJ ^eJLhdQVU~N H QUPJOslash[SX H MJ bnhQ H JLhQc[]ONPb|Vbn[Ph^QcO[ H [ H MJ^e[]ZaringNPQsOY^_[ bLQchbLjFZUPJUO H H MQcY`KhZ[PcentfcJZeyacuteWFJNiKKfmN H hNPOYYX[PhlZ N H QR[]O| H [ JUNPbM^e[]ZaringNPQsOOeYZjbdM H MN H Q H centEgraveJUbn[]ZOslashJUY`bn[]OWVH QcOj[]jYZfVm^eJLKEgraveJUO^eJUO H []O NPO JUP[]fsj H QR[]O KNihNSZOslashJ H JLhagrave^MeJ`bnhQ H JLhQR[]Ocent=JUbn[]ZaringJUYT^eJLKEgraveJUO^eJUO H []Obagravearingocirc|aagravejgaacute ocirc|adOumlcopytimesOslashaagravejszliglOuml UgraveUcircUacuteUuml aagravejszligYYacuteaagravejj^QO H MQcY^mBONSZaringQcbLNPfTYbMeJZOslashJSeiexclWFJ bLNPO hJUNP^QcfVm H N`PJQcO H [ NPbLbn[]jO H N K=[]YYZQRcentfRJU~NihQsN H QR[]O[SX H MeJ ^eJUYZbnhdQRK H [PhYWQ H M H MeJJUP[]fVUWQcO[ hZJ[]QR[]OYk|adOuml times j aacuteOumlcopytimesaagravej^

^QiexclJLhdQVU~N H Qc[]O [SX H MeJaumlbnhQ H JLhQc[]O jYZQcO[OslashYZMNiK=JOtilde[PK H QZaringQVcurrenUN H QR[]O H MJL[PhZJZaringYaringMeJNtildebnhdQ H JLhQR[]OocircOcircaagravej9QcY H MeJUOIacute^JLhQVUPJU^TNPbLbn[Phd^QcO[ H [5agrave H MNPO`WY H [ H MeJFbn[]ZaeligVKj H N H QR[]Oeuml[SX H MeJ0jfRJLhQcNPOeuml^eJLhQU~N H QVUPJaelig[SX_ocircjYZQcO[YZMNiKEgraveJaelig[PK H QZ QVcurrenUN H QR[]OKhQcObLQcKfRJUYeOWMQcbMQcYIacuteOJWQsO H MeJNihZJUN [SXNPb H QVUPJ bn[]O H []jehY^$ YXqNihOslashNPYH MeJF^JLhQVUiN H QR[]OTQcYbn[]ObnJLhOeJU^e H MeJU~NihdQcN H QR[]OIacute[SX H MeJF^JUYZbnhQRK H [PhdYWQ H M H MeJJUP[]fVUBQsO[OslashhZJ[]QR[]OY_Oumlcopytimesaagravej(NPO^Y[ordmWQ H MagravetZIacutejY H centEgraveJ H N`PJUOaQcO H [aringNPbLbn[]jO H ^

^vF[]ZOslashKj H N H Qc[]O [SX H MJaumlJUP[]fcj H QR[]OJjN H Qc[]OXh[]Z H MeJauml^eJLhQU~N H QVUPJSaringnot hZ[]Z H MeJNtilde^JLhQVUiN H QVUPJSeWFJNtilde^eJU^jbnJ H MeJUPJUfR[WbLQ H mordfUPJUb H [Ph$[SX H MeJFNPb H QVUPJbn[]OWVH []jeh H MN H WiexclQcfcfZaringN`PJQ H JUP[]fUPJiexclNPYXqNPY H NPY$KEgrave[]YZYQRcentfRJ H [WNih^YNtildeNgZaringQcOQCZIacutejFZ[SX H MeJOtildebnhQ H JLhdQR[]OO^ObLNPYJUacute[SX9hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhYe H MeJUacuteJUP[]fcjWVH QR[]OeumlJjN H QR[]Oeuml[SX H MJaringNPb H QVUPJaringbn[]O H []jhTQcYOtilde^QEgraveJLhZJUO H XhZ[]Z H MJtimes[]OJaringbn[]ZaeligVKj H JU^ Xiacute[Ph hZJ[]QR[]OWV4QcO^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhY^ G []ZOslashJ`NP^^Q H QR[]ONPf H JLhZaringYNiKKEgraveJUNihiexclNPO^`Y[ Q H QcY[SX$KhdQZOslashJaumlOeJUbnJUYZYQ H m H [bn[]OYZQc^JLh H MeJ H WNtilde[o`WQcO^Y([SX^eJUYZbnhQRK H [PhY(YJLKNihN H JUfmS^

9J H jYFOe[ H J H MN HFH MQcY[PJUOeJLhNPfKXiacutehNSZOslashJWF[PhY` bLNPO centEgraveJNiKK-fcQRJU^ H [ordmZaringNPOm ^QEgraveJLhVJUO H NiKKfsQcbLN H QR[]OYcentm[]OfVmbMNPO[]QsO[ H MeJT^eJUYbnhQRK H [PhY^ H MNPYcentEgraveJLJUOOe[ H NicentfmNiKK-fcQRJU^ H [ordmZOslash[UBQsO[aelig[Pcent~5JUb H Y(^J H JUb H QR[]O QcOoUBQs^eJL[timesYZJjeJUObnJUY(NPbjQchZJU^ JUQ H MeJLhWQ H MN Y H N H QcbawS]JUMNPOWV4XFJUYZY[]O J H NPfd^Ve sSs fLbjiexcl[PhUacuteNregZOslash[Pcent-QcfRJTbLNSZOslashJLhdNawS]JUMNPOWVXFJUYZY[]O J H NPf)^Ve sSs fncentj^ JUYZbnhQRK H [PhdYoZ Nm NPfcY[centEgraveJ YJBjeJUO H QcNPfcfVm jYJU^ H [QZaringKhZ[UPJ H MeJu-ONPfBhZJUYZjf H NPYyQ H MNPYampcentEgraveJLJUOaeligKh[PK=[]YZJU^timesQsOtawSPJUMNPOWV4XFJUYZYZ[]OOslashJ H NPfd^VesSs fLNOgravej^^f^~OacuteETHEgraveKEacute18=KETH32EacuteltOacuterEacute0frac34Ntilde83ltOacuteONtildeshyIacute=gtNtildeshyEumltIcirc=39IgraveFIacute5Igrave O QZaringN[PJumlOtildegta2atildeltszligaumlj QcYNxXqjOb H QR[]O ^eJOJU^ Xiacute[Phpounda2atildeshyszligaumlFj OumlOcirccenteuWMeJLhZJOumloslashQcY H MeJ QZaringN[PJ ^e[]ZaringNPQcOO^ltMeJ QCZaringN[PJ ^e[]Z NPQcOQcYIacutebn[]OYZQc^eJLhJU^ H [ cent=JZaringNP^eJjeK`[SX H WF[KNih H Ylaquoa not Q[^fjaring H MJyXiacute[PhZJ[PhZ[]jO^`KNih H bn[]O H NPQsOQcO[ H MeJT[Pcent~JUb H Y H [

uumlnyacute|thornLyuml13

f s $amp)(+-)013021+345627893lt=gt9A6CBYJ[]ZaringJUO H e=Oe[ H JU^frac34OumlcopytimesOslashFe-NPO^ H MeJaumlcent-NPbY`[PhZ[]jO^aKNih H Oe[ H JU^Ouml UgraveUcircUacuteUuml ^MeJauml^QcYZbn[]OWVH QcOBjQ H m`YJ H QcYOtildeNbLjehlUPJ Oe[ H JU^bYacute H MN H ^JOeJUY H MeJ cent=[]jO^NihYmcentEgraveJ H WNtildeJLJUO H MeJH WNtilde[ ^[]ZaringNPQcOY^ J H MJUOaYJUNihbdMtXiacute[Ph H MeJ H WNtilde[^e[]ZaringNPQsOYyacuteOuml UgraveUcircUacuteUuml NPO^wOumlutimes OslashWMQcbdMtZaringQcOQZaringQVcurrenLJ H MeJbnhQ H JLhQR[]Oocircuml[]QVUPJUOcentmumla2jehZJZaringQcO^eJU^ MeJLhZJSaring

ocirc|adOuml UgraveUcircUacuteUuml szliglOumlcopytimesOslashgtszligYYacuteQjumlaacute uuml thorn UgraveUcircUacuteUuml yuml a2atildeltszligaumlgtszliglOuml UgraveUacuteUuml j atilde auml $ uuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOuml timesOslash j atilde aumlamp uacuteucirc thorn yuml uuml thorn otilde)yuml a2atildeshyszligaumlFj THORN5OaumlbnhQ H JLhdQR[]Oa2je H MeJ|hY HH WNtilde[ H JLhlZaringY9NihJyhZJ[]QR[]OWVcent-NPYJU^ordfWMQsfRJ H MeJ H MQRhd^ H JLhlZQcYcentEgrave[]jO^NihYmVcentNPYJU^O^MeJiexclXqjOb H QR[]OYyacuteuuml thorn UgraveUcircUacuteUuml yuml egtuuml thorn timesOslash yuml NPO^tuuml thorn otilde)yuml NihZJaumlhZJUYKEgraveJUb H QVUPJUfmH MeJ^eJUYZbnhdQRK H [PhY[SX H MeJFcentNPbl`[PhZ[]jO^timesKNih H ei[SX H MeJ[Pcent~JUb H Y H [OtildeYJ[]ZOslashJUO H NPO^Iacute[SXH MeJaumlbn[]O H []jeh^KMeJauml^eJUYbnhQRK H [PhYuZ Nm centEgraveJordf[]fR[PcentNPfcfm N HH NPbMJU^ H [ H MeJOtildeJUP[]fVUWQcO[hZJ[]Qc[]OY(NPO^Y[ ^eJLKEgraveJUO^ []Ofrac34Ouml timesOslash [Ph5OumluUgraveUcircUacuteUuml^

G QcObnJ H MeJaringYJ H [SXNtildeNPfsf$^e[]ZaringNPQcOYUacuteMNPYOtildeO[ H N Y H hjb H jehJtimes[SXUPJUb H [PhQcNPfyYZKNPbnJSeWFJIacutebLNPOeumlOe[ H bn[]ZOslashKj H J H MeJaelig^eJLhQVUiN H QVUPJT[SX H MJIacuteKhJUBQR[]jYbnhQ H JLhdQR[]OaNPbLbn[Ph^QcO[H [euml^e[]ZaringNPQcOY^ltMJLhZJX[PhJSe H [bn[]ZOslashKj H JNPO[PK H QZaringNPfFY[]fcj H Qc[]OOe9Neuml^mWONSZaringQcbLNPfYZbdMeJZOslashJOtildeQcYQcO H hZ[W^jbnJU^WMeJLhZJJUNPbM^[]ZaringNPQcO cent=JUbn[]ZaringJUY(bn[]O H QcOBje[]jYfVm ^eJLKEgraveJUOWV^eJUO H []ONPO JUP[]fcj H QR[]O KNihdNSZOslashJ H JLhagrave^59[ X[PhZaringNPfcQVcurrenLJ H MQcYQc^eJUNe WNtildeJxZaringNmYZjKKEgrave[]YJ H MN HTH MJ JUP[]fcj H Qc[]OKhZ[WbnJUYZYtimesQcY H [ H NPfsfVm^eJ H JLhlZaringQcOJU^centm H MJ JkeQcY5VH JUObnJiexcl[SXgNyXqNSZaringQcfmIacute[SXgNiKK-fcQcbLN H QR[]OY| H MN HNtildeH hNPOYXiacute[PhlZaringY H MeJiexclQsOQ H QcNPfe^e[]Z NPQcOYOumlcopytimesOslashgta s jNPO^tOuml UgraveUcircUacuteUuml a s jQsO H [ H MeJIacutebLjehZhZJUO H ^e[]ZaringNPQcOYyacuteOumlcopytimesOslashKaagravejNPO^frac34Ouml UgraveUcircUacuteUuml aagravejaring

OumlutimesUcirca s j ntilde OumlcopytimesaagravejYacutea s j ntilde Yacuteaagravej WiexclMeJLhZJVQaacuteiV[Ph Kf5 iumlMBjY H MeJOtildehJ[]QR[]OY(JUP[]fVUPJ H [WNih^YiexclNPO [PK H QZaringNPf9Y[]fcj H QR[]O^MeJ H hQRKfcJ H Ouml UgraveUcircUacuteUuml aagravejszliglOumlcopytimesOslashOaagravejszligYYacuteaagravejordmZIacutejY H NPb H NPYNregZaringQcOQZ QVcurrenUQcO[TYZJjeJUObnJgX[Phocirc|adOuml UgraveUcircUacuteUuml szliglOumlcopytimesOslashszligYYacutejWiexclMeJUOagrave JUP[]fVUPJUY^MeJ5XqjOb H QR[]ONPfOocircOcircadOuml UgraveUacuteUuml aagravejszliglOumlcopytimesOslashaagravejszligYYacuteaagravejjMNPY H [ bn[]OOgraveUPJLhY[PJ H [WNih^Y H MeJpoundZaringQcOQCZIacutejFZ UiNPfcjeJeuml[SXregocirc2NPYfrac34agraveacircntilde ograveegrave^ MeJbnhQ H JLhQR[]O H MeJUO centEgraveJUbn[]ZOslashJUYaring

ocirc|adOuml UgraveUcircUacuteUuml aagravejszliglOumlcopytimesOslashaagravejszligYYacuteaagravejjaacute thorn yuml uuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszliglOuml UgraveUcircUacuteUuml aagravejj atilde auml 5$ thorn yuml uuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashKaagravejj atilde aumlj uacuteucirc thorn yuml uuml thorn otilde)yuml a2atildeshyszligaumlFj THORN adh]jMJoXqjOb H Qc[]ONPf_ocircOcircadOumlyacuteUgraveUacuteUumllaagravejszliglOuml timesOslash aagravejszligYYacuteaagravejjaeligQcY H MeJLhZJUNX H JLh O[ H JU^egraveocirc|aagraveje0NPO^H MeJ ^eJUYZbnhQcK H [PhYuuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashKaagravejj NPO^icircuuml thorn UgraveUcircUacuteUuml yuml a2atildeltszligaumlgtszliglOuml UgraveUcircUacuteUuml aagravejjaringNihZJ`hZJUYKEgraveJUb|VH QVUPJUfmUacuteO[ H JU^laquouuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejgNPO^laquouuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszligYagravejeWMQcbdMTfRJUNP^Y H [ H MeJXiacute[]fcfR[WQcO[

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ fSfJkWKhZJUYZYQR[]OOaring

ocirc|aagravejumlaacute thorn yuml uuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszligYagravej atilde auml $ thorn yuml uumlgtthorn timesOslash yuml a2atildeltszligaumlgtszligYagravej atilde aumlj uacuteucirc thorn yuml uumlgtthorn otilde)yuml a2atildeshyszligaumlFj THORN af s j5OOtildebn[]O H hdNPY H WQ H MUacute[ H MeJLh9NPb H QVUPJFbn[]O H []jehdY9NiKKh[]NPbMeJUYe H MeJy^mWONSZaringQcbLNPfPYZbdMeJZOslashJQcYtimesMeJLhZJ^QRhJUb H fVmQcO H h[B^jbnJU^QcO H MeJbnhQ H JLhQc[]OO^ Q H MYZjbdMNeumlYZbdMeJZOslashJSe H MeJQcO H hZ[W^jb H QR[]OOacute[SXiexclNPO NPb H QVUPJbn[]O H []jehOslashJUP[]fVUWQcO[ WQ H Msup1agraveQcYaeligY H hNPQ[]M H Xiacute[PhYWNih^O^iexclJUObnJ WNtildeJbn[]OYZQc^eJLh H MN H Yacuteaagravej QsYoZaring[B^eJUfsfRJU^ NPY NPO NPb H QUPJOacutebn[]O H []jh H MN Hbn[]OUPJLhY[PJUY H [WNih^Y H MJgONPfEgraveJkWKEgraveJUb H JU^YJ[]ZOslashJUO H N H QR[]OO^9J H Yacutea s jtimescentEgraveJ H MeJQcOQ H QcNPfNtildebLjhYUPJa^eJOJU^centm H MeJjYJLh^ JahZJUbLNPfcf H MN H WFJYJUNihdbMtXiacute[Ph YacuteaagravejNPYNaringbLjehlUPJaumlJUP[]fVUWQcO[aringNPbLbn[Ph^QsO[ H [ H MeJgXiacute[]fcfR[WQcO[ordm5 aringaelig YacuteadTHORNOgraveszligYagravejaelig agrave aacuteegraveeuml WiexclQ H MigraveYacutea s j|aacuteegraveYacuteshyiacute afSfjWMJLhZJ_euml`QcY H MJ_UPJUfR[WbLQ H mUPJUb H [Ph([SX H MeJUacuteNPb H QVUPJOtildebn[]O H []jh^MeJ_Z NPQcO KhZ[PcentfRJZfcQcJUYFQsO-O^QcO[ H MeJiexclUPJUfR[WbLQ H meumlXhZ[]Z H MJUacutebnhdQ H JLhQR[]Opoundaf s jFQcO [Ph^JLh H [ordm[PJ HH MeJXqNPY H JUY H bLjhYUPJaumlJUP[]fcj H Qc[]O H [WNih^Y H MeJordfONPfYJ[]ZaringJUO H N H QR[]O^^ ^iexclEacuteltIacuteETHNtildeFETHEacuteshyOacute Eacute10wETH9Igrave8ltIgraveFEgravegt+NtildeFETH3gt+ltIgraveumlEacute10frac34ETH9Igrave=KEgrave13ETHIgraveFEgraveEacuteshyOacute5Oeuml[Ph^eJLh H [ [Pcent H NPQsO H MeJOslashJUP[]fcj H QR[]OeumlJBjN H QR[]Oe H MeJaringbnhQ H JLhQc[]OxocircOcircaagravej5ZtimesjY H centEgraveJ^QV=JLhZJUO H QcN H JU^WQ H MhZJUYKEgraveJUb H(H [agrave^MeJOtildeQcO H J[PhNPfcentEgrave[]jO^Y^eJLKEgraveJUO^ []Otagrave NPO^H MeJauml^JUYZbnhQRK H [PhdYyacuteuuml thorn UgraveUcircUacuteUuml yuml a)jNPO^wuuml thorn times Oslash yuml a)juZaringNm NPfcY[aring^JLK=JUO^[]Otagrave^9J H jY^eJOJ H MeJordfXiacutejOb H QR[]ONPfuumlOa2atildeltszligaumlgtszligYagravejYZjbM H MN H aring

uumlOa2atildeltszligaumlgtszligYagravej|aacute uuml thorn UgraveUacuteUuml yuml a2atildeltszligaumlgtszligYagravej QVXcopya2atildeltszligaumljwOuml UgraveUcircUacuteUuml aagravejuuml thorn times Oslash yuml a2atildeltszligaumlgtszligYagravej QVXcopya2atildeshyszligaumlFjtOumlcopytimesOslashKaagravej af jMJbXqjOb H QR[]ONPfuuml thorn UgraveUcircUacuteUuml yuml a)jNPO^Huuml thorn times Oslash yuml a)j`NihZJ^eJOJU^ []O H MeJxWMe[]fRJ7QZaringN[PJ^e[]Z NPQcOtOumliexcl^FMeJUOe H MeJaumlbnhQ H JLhQc[]OocircOcircaagravejuWhQ H JUY(NPYaring

ocirc|aagravejOcircaacute uacute uumlOa2atildeshyszligaumlKszligYagravej atilde aumlj uacuteucirc thorn yuml uumlgtthorn otilde)yuml a2atildeshyszligaumlFj THORNordfaacuteocirc aagravej ocirc cent aagravej af]jWMJLhZJgOuml QcY H MeJaumlQCZaringN[PJT^e[]ZaringNPQsOOeeNPO^Oaring

ocirc aagravej|aacute uacute uumlOa2atildeshyszligaumlKszligYagravej atilde aumlocirc cent aagravejOcircaacute uacuteucirc thorn yuml uuml thorn otilde)yuml a2atildeshyszligaumlFj THORN

uumlnyacutenthornnyumll13YSordmY_F

f $amp)(+-)013021+345627893lt=gt9A6CB5OOtilde[Ph^eJLh H [bn[]ZaringKj H J H MJ0^eJLhQVUiN H QVUPJy[SX H MJNtildebnhQ H JLhdQR[]Olaquoocirc aagraveje H MJNtilde^QcYbn[]O H QcOBjWVQ H QcJUY|ZtimesjY H JkWKfcQcbLQ H fVmIacutecentEgraveJ H N`PJUOQcO H [IacuteNPbLbn[]jO H ^ not [Ph(YZjbdM NIacuteKjehZKEgrave[]YJSeSWFJ5hY HhZJUbLNPfsf-N[PJUOeJLhNPf H MeJL[PhJZbn[]ObnJLhOQcO[ H MeJUacute^eJLhQVUiN H QVUPJ[SX9N H QZOslashJnV4^eJLKEgraveJUO^JUO HbnhQ H JLhQR[]OO^9J H jY(^eJ-OeJyOumlcopytimesaagravejNPYNOslashhZJ[]Qc[]OQcObLfcj^eJU^QcO H [regOumlordf^yacute5 q Ntilde_ f^1ltuumlStimesBiexcl centpoundcurrenyencurrenbrvbarsectumlordfcopynotlaquo3shyyenLregmacrcurrenRlaquodegcurrenbrvbarlaquo Oumlplusmna s szligsup2|iexcljsup3acute Rlaquomicromiddotparagtltocirc|aagravejOcircaacute w thorn yuml uumlStimesYa2atildeltszligaumlgtszligYagravej atilde auml~sup3cedilsectsup1ltlaquoordm ocirc agrave aacuteocirc7raquodaagravejOcircaacute thorn yuml aelig uumlStimesaelig agrave atilde auml uacutefrac14 thorn yuml uumlStimesYafrac34frac12 eacuteAgraveiquestsup1AacuteAtildeAcircYj THORNAuml sectsup1ltAringPfrac12AEligreg(centsectsup1Ccedilbrvbar_paracurrenyenshyltregLLEgraveacutecurrensup2uml aelig Oumlcopytimesaagravej RlaquomicroeacuteAgraveiquestsup1AacuteAtildeAcircEacuteregEcirccentsectsup1copysup1laquoregEumlreg(laquo Auml brvbarAringsup2microacutelaquocurrenRAringordfpound RparaIgravecurren aelig Oumlcopytimesaagravej_IacuteMJ^JLhQVUiN H QVUPJ[SXshyocircWQ H MaelighZJUYZK=JUb HampH [yagraveaeligQcY H MJyacute0jfRJLhdQcNPOIacute^JLhQVUiN H QVUPJ([SXocirc|adOumlcopytimesAjQcO H MeJOtilde^QRhJUb H QR[]O [SXEumlfrac12umleWMQcbdM bn[]ZaringKj H N H QR[]O QcY[]QVUPJUO QsO iexclKKEgraveJUO^Qkaring ^FMeJUiNihQcN H QR[]Oeuml[SX5ocirc QcYOtilde^jeJ H [ H MeJUiNihQcN H Qc[]O[SX H MeJordmXiacutejOb H QR[]ONPfOcircuuml]timesa2atildeltszligaumlgtszligYagravejaumlNPO^H [ H MeJgZOslash[ H Qc[]O[SX H MeJOtildeQcO H J[PhNPf^e[]ZaringNPQsOOumlutimesaagravej^ Y(Naeligbn[PhZ[]fcfcNihYm [SXltMJL[PhZJZfeFWFJordf[PJ H aringv q q shy9 5lt f^yenIcirccopyNcentampcentcopyIuml-Iumlsup1currenfcentyenYsectnot -sectsup1Ymicro-currenRpound Rreglaquofrac34Oumlgaagravejampreg(centpound -microETHcopyIumliexclcurrensup2uml Auml currenCIuml RAringordfcentsup3yOuml timesOslash aagravejNtilde RlaquomicropoundOumlyacuteUgraveUacuteUumllaagravejOgravecentyenfrac34Iumlsup1 brvbarAringsup2 brvbarmicro_Egraveh iexclpoundYcurrenbrvbarCcedildreglaquoNOacutehreglaquo5_Aringumllt -shytYacuteaagravejAuml sectETHregmacrshy_sectOcircCcedilRltparaOtildecurrendshyltregLLEgraveregEcirccentyacuteeumlEumlIacuteOumlsectsup1Uumlordfcopynotlaquo3shyyenLregmacrcurrenRlaquouumlOa2atildeltszligaumlgtszligYagravejreg(centcentordfcopyIuml-Iumlsup1currenfcentyenmicroOcircIgravecurrenOcirccentltfrac34Iuml RAringsup2 -_paraEgraveshycurrenRlaquo5LreglaquocopycurrenRcopynotcentcedilreglaquoyOumlcopytimesOslashKaagravejW Rlaquomicro Ouml UgraveUcircUacuteUuml aagravej_copy3pound REgraveampJmicrobrvbarregEcirccentltshycurrenRlaquo5LreglaquocopycurrenRcopynotcentJ -shyltAringPcurrenfcentcentYacuteaagravej_Iacutetimes Agravelaquocurrenbrvbaruuml thorn times Oslash yuml Rlaquomicroruuml thorn UgraveUcircUacuteUuml yuml sup3sectsup1Ccedilf brvbarparacopy5iexclcurrensup2umlwuumlreglaquoOslashAringordfcentIumlshydLreg(Ccedilbrvbar_paraEgraverOumlutimes OslashaagravejAgrave Rlaquo3microOuml UgraveUcircUacuteUuml aagravej_IacuteUgraveOumlsectNcopyNcentampsectmicroETH_Aringordfreg(CcedilR brvbarLregCcedilRcurrensup2umlordfocirc|aagravej Auml AringregLordfcent fcent_ordm

ocirc7raquo)aagravejOcircaacuteUacute thorn yuml aelig uumlaelig agrave atilde auml uacutefrac14 thorn yuml uumlOaLUcirc eacute iquestsup1Aacute j THORN uacuteucirc thorn yuml uumlNaeuml eacuteHj THORNAuml sectsup1ltAringPacute uumlNAringfrac34Iuml3AringP_centlt_laquocentYsectUumlordfcopysup1poundUgraveIumlcurrensup2umlguumlh -shyltAringPcurrenfcentcentordfYacuteaagravej_ordmW uumlNaacuteacircuuml thorn UgraveUacuteUuml yuml uuml thorn times Oslash yuml sup3eacute sectsup1ncopynotlaquo5reglaquo3currenRAringpound RparaIcirccurrensup2umlordfYacuteaagravejmicrobrvbarreg(AringshydmicroampumlAringPcurrenRpound Ouml UgraveUacuteUuml aagravejIgravecurrenOumlutimes OslashKaagravejsup3eacuteAgraveiquestsup1Aacutesectcopysup1laquoregLEumlreglaquo Auml RAringPmicroOcirclaquocurrenRAringordfpound Rpara1Igravecurren aelig Oumlgaagravejj RlaquomicroUcircYacutesectsup1jCcedilbrvbar_paracurrenyenshyltregLLEgravenCcedilbrvbarshydIgravecurrenRAringjcurrensup2uml_Oumlyaagravej_Iacute

plusmngLMOMraquo aring JbLNPO NiKKfVm MJL[PhZJZ f H [ H MeJ ^[]ZaringNPQcO Oumlutimes OslashaagravejaringNPO^ H [ H MeJ^e[]Z NPQcOtOuml UgraveUcircUacuteUuml aagravej^ ^^QcO[ H MeJ H WF[aringJjN H QR[]OYeFWFJOtilde[Pcent H NPQcO H MeJTbn[PhZ[]fcfsNihYmS^ H QcYIacuteOe[WY H hNPQ[]M H Xiacute[PhYWNih^ H [[PJ HtimesH MeJ ^eJLhdQVU~N H QUPJ [SX H MeJ bnhQ H JLhQR[]O ocirc aagravejaringWFJ H N`PJ5OumlyaagravejOcircaacuteAumlOuml H MeJiexclQZaringN[PJ^e[]Z NPQcOta not QV[^ j^MJUOOePcentmaeligJkWKfcQcbLQ H fVm H N`WQcO[

uumlnyacutenthornnyumll13YSordmY_FY

yenKbrvbarsect =4 acirc $ fH MeJtimes^QcYZbn[]O H QcOBjQ H QRJUY(QsO H [ NPbLbn[]jO HUacuteH MNPOF`BY H [ H MeJtimesbn[PhZ[]fcfcNihlmSe H MeJtimes^eJLhQVUiN H QVUPJ[SXocirc aagravejQcYcopy[]QVUPJUOacentmKaring

ocirc raquo aagravejumlaacute uacuteucirc thorn yuml uumlNaeuml eacutej THORN uacutefrac14 uumlOaLUcirc eacuteAgraveiquestsup1Aacutej THORN $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde auml thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afj

q centUWQR[]jYZfVmSe H MeJ7YJUbn[]O^ H JLhlZ [SX H MeJ7^eJLhQVUiN H QVUPJ afjaQcYcurrenLJLh[ YZQcObnJ H MeJJk H JLhONPf(centEgrave[]jO^NihYm aelig OumlD[SX H MeJ`QZaringN[PJaQcYkBJU^^OcircJLKfcNPbLQsO[` uumlN_WQ H MQ H YJkWKhZJUYZYQR[]OOeWNtildeJyO^Oaring

ocirc7raquo aagravejumlaacute uacuteucirc thorn yuml aduuml thorn UgraveUcircUacuteUuml yuml1 uuml thorn timesOslash yuml jaeuml eacuteHj THORN $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde auml thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afmacr]jMJUacute^JLhQVUiN H QVUPJOtilde[SXocirc cent aagravejQcY(bLfcNPYZYQcbLNPfdaring

ocirc7raquocent aagravejOcircaacute uacuteucirc thorn yuml a uuml thorn otilde)yumld huuml thorn otilde)yuml7 eacutejaeuml eacutej THORN af]jWMJLhZJ a2atildeshyszligaumlKszligYagravejQcY H MeJaumlbLjehlU~N H jehJ[SXQYacutea2atildeltszligaumlgtszligYagravej^MeJLhZJXiacute[PhZJSe H MeJOtilde^eJLhQVUiN H QVUPJ[SX H MeJgWM[]fRJOtildebnhQ H JLhQR[]O QsY H MeJordfXiacute[]fcfR[WiexclQcO[aring

ocirc raquo aagravejpoundaacute $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde aumlamp thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afzSj uacuteucirc thorn yuml aduuml thorn UgraveUcircUacuteUuml yuml uuml thorn timesOslash yuml uuml thorn otilde)yuml huuml thorn otilde)yuml eacutejaeuml eacutej THORN

^ ^~THORNUgrave2FEgraveOIgraveIcircIcirclt2EacuteltOacute Eacute0frac34ETH9Igrave8shyIgraveFEgraveEcirc+NtildeFETH3Ecirc+ltIgraveNtilde7==EacuteltEgrave7813Oacute14 ETHOEacute ETH9IgraveOacuteszligltOacuteshyEacuteOacuteAgrave+QIgraveFEumlEacuteAtilde=13ETH+ltIgrave5=KETHOEacuteshyEgravesup1euml5Oaelig[Ph^eJLh H [Tbn[]ZaringKj H J H MeJuUPJUfR[WbLQ H mUPJUb H [PhcopyeumleSWNtildeJMNUPJ H [yZ N`PJQ H NiKKEgraveJUNihyQcOH MeJhY HH WF[ ^e[]Z NPQcOaQcO H J[PhNPfcYiexcl[SX afzSjcentmJkWKhZJUYZYQcO[ H MeJZ NPY_XiacutejOb H QR[]OY[SX H MeJgUPJUfR[WbLQ H meumlQ^iexclJLhZJiexclWFJ H N`PJ H MeJ5[PJUOeJLhNPfbLNPYZJ5WiexclMeJLhZJ H MeJ^JUYZbnhQRK H [PhdYZaringNm ^eJLKEgraveJUO^ []OXiacuteJUN H jehZJUY5[]fR[PcentNPfsfVmN HH NPbMeJU^ H [ H MJtimeshJ[]QR[]OeumlNPO^eumlY[oZ Nm`^JLK=JUO^a[]O agrave^ JZOslash[W^eJUf$JUNPbdM^eJUYZbnhQRK H [PhIacuteNPYtimesNabn[]ZIacutecentQcON H QR[]OOacute[SXuXJUN H jhZJUYy[]fc[PcentNPfcfVmeumlN HH NPbMeJU^

uumlnyacutenthornnyumll13YSordmY_F

f $amp)(+-)013021+345627893lt=gt9A6CBH [ H MJOtildeJUP[]fVUBQsO[OslashhZJ[]QR[]OY_OumlcopytimesOslashKaagravejF[Ph_Ouml UgraveUacuteUuml aagravejaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejpoundaacuteAElig thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn timesOslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejszligiumlViumlViumlVszligagrave thorn timesOslash yumlaacute aagravejjuuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszligYagravejpoundaacuteAElig thorn UgraveUcircUacuteUuml yuml a2atildeltszligaumlgtszligagrave thorn UgraveUcircUacuteUuml yuml aagravejszligagrave thorn UgraveUcircUacuteUuml yumlcent aagravejszligiumlViumlViumlVszligagrave thorn UgraveUcircUacuteUuml yumlacirc aagravejjafi]j

WMJLhZJSaring agrave thorn(atilde yumlauml aacute 7aring thorn yuml5aelig thorn(atilde yumlauml a2atildeltszligaumlgtszligYagravej atilde auml WQ H Mpounda jOcircaacuteacircaVltjF[Pha Kf5 jiuml afh]j9J H jYuhY H bn[]ZOslashKj H J H MeJIacute^eJLhQVUiN H QVUPJOtilde[SXuuml thorn timesOslash yuml eFWFJgO^Oaring

aelig uuml thorn times Oslash yumlaelig agrave aacute aacuteccedilaumlegrave aelig thorn timesOslash yumlaelig agrave thorn times Oslash yumlauml a2atildeltszligaumlgtszligagrave thorn timesOslash yuml aagravejszligiumlViumlViumlVszligagrave thorn timesOslash yumlaacute aagravejj aelig agrave thorn timesOslash yumlaumlaelig agrave aagravej a s j J MNUPJOe[W H [bn[]ZOslashKj H J H MeJ ^eJLhdQVU~N H QUPJ [SXagrave thorn timesOslash yumlauml NPbLbn[Ph^QcO[ H [umlagrave^ JNiKK-fVm H MeJgMeJL[PhZJZigravefaumlNPO^WNtildeJy[PJ H aring

aelig agrave thorn timesOslash yumlaumlaelig agrave aacute $ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde auml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacutej THORN a fj

JLKfcNPbLQcO[ H MeJNtilde^eJLhdQVU~N H QUPJUY9[SX3agrave thorn timesOslash yumlauml WQ H M H MeJUQRhJkWKhZJUYZYZQc[]OYa fj9QcOa s jeSWFJ[Pcent H NPQsO H MJXiacute[]fcfR[WQcO[iexclJkBKhJUYZYZQR[]OX[Ph H MJF^e[]Z NPQcOaeligQcO H J[PhdNPf[SX H MeJ^eJLhQVUiN H QVUPJ[SX H MeJT^eJUYbnhQRK H [Ph uuml thorn times Oslash yuml aring

$ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde aumlacircaacute aacuteccedilaumlordfegrave -eacute thorn timesOslash yumlauml $ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde auml

aacuteccedilaumlordfegrave eacute thorn timesOslash yumlauml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacuteHj THORN a S jWMJLhZJSaring

eacute thorn timesOslash yumlauml aacute $ thorn yuml aelig thorn timesOslash yumlaelig agrave thorn timesOslash yumlauml a2atildeltszligaumlgtszligagrave thorn timesOslash yuml aagravejszligiumlViumlViumlVszligagrave thorn times Oslash yumlaacute aagravejj atilde auml a ]jMJIacuteJkWKhZJUYZYQR[]OwXiacute[Pha jyacuteaacute a Kf jiexclQcYbn[]ZOslashKj H JU^QsO H MeJaeligYZNSZOslashJordmZaringNPOOeJLhiexclWMQcfRJKNmBQsO[N HH JUO H Qc[]O H [ H MeJ`^QRhZJUb H QR[]O[SX H MeJ`Oe[PhlZaringNPfcopyUPJUb H [PheNPO^rWFJ H MBjY

uumlnyacutenthornnyumll13YSordmY_Fsup2

yenKbrvbarsect =4 acirc $ fmacr[Pcent H NPQsO H MeJg[PJUOeJLhNPfgJkBKhJUYZYZQR[]OXiacute[Ph H MeJauml^JLhQVUiN H QVUPJOtilde[SXocircOcircaagravejaring

ocirc raquo aagravejumlaacute uacuteucirc thorn yuml aduumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn times Oslash yuml uumlgtthorn otilde)yuml d hreguumlgtthorn otilde)yuml eacuteHjaeuml eacutej THORN aacuteccedilaumlordfegrave eacute thorn timesOslash yumlauml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacuteHj THORN acircccedilaumlordfegrave eacute thorn UgraveUcircUacuteUuml yumlauml uacuteucirc thorn yuml aelig thorn UgraveUcircUacuteUuml yumlauml aeuml eacutej THORN aacuteccedilaumlordfegrave -eacute thorn timesOslash yumlauml $ thorn yuml aelig aelig thorn

timesOslash yumlaumlaelig agrave atilde auml acircccedilaumlordfegrave eacute thorn UgraveUcircUacuteUuml yumlauml thorn yuml aelig aelig thorn

UgraveUcircUacuteUuml yumlaumlaelig agrave atilde auml a j^ ^ecirccopyEgraveEacuteshyIacuteIumlETH39shyIgrave8shyIgraveFEgraveEcirc+NtildeFETH3gt+QIgraveETHOEacute3iexclNtildeshyEgrave78QIcircETH9IgraveumlIgrave+EacuteltEumlETHshyETHEacuteshyOacuterIgrave5euml1ONtildeFETH32EacuteltOacuteEacute10wETH9Igrave Ntilde=KETH3gt+ltIgrave=EacuteshyOacuteshyETHEacute1EgraveMJ[P[]NPf[SX H MQsYampKNih H QcY H [aumlbn[]ZOslashK-j H J H MeJ(JkWKhZJUYZYZQc[]Oaelig[SX H MeJuUPJUfc[BbLQ H mUPJUb H [PheumlwWMQcbdMregZaringN`PJUY H MeJUacutebLjehYUPJJUP[]fVUPJOtildeNPYXiacuteNPY H NPYFKEgrave[]YZYZQRcent-fRJ H [WNih^Y(NZaringQcOQCZIacutejFZ[SX H MeJaeligbnhQ H JLhdQR[]Oumlocirc^KO`[Ph^eJLh H [ ^JU^jbnJ H MJyUPJUfR[WbLQ H mwUPJUb H [PhOtilde[SX H MeJaeligNPb H QVUPJbn[]O H []jehQXhZ[]Z H MeJF^eJLhQVUiN H QVUPJ0[SX H MeJNtildebnhQ H JLhQR[]OOeWFJMNUPJ H [5Z N`PJFNiKKEgraveJUNih H MeJUPJUfR[WbLQ H moUPJUb H [PhUacuteQcO H MJTfcNPY HH WNtilde[ ^e[]ZaringNPQcOaQcO H J[PhdNPfcY(centm JkWKhZJUYYZQcO[ H MeJZ NPYcentEgrave[]jO^NihYm QcO H J[PhNPfcY^FMQcYbLNPOaJUNPYZQcfVm centEgraveJauml^e[]OeJTjYZQcO[MJL[PhZJZigravefe-^[]ZaringNPQcOQcO H J[PhNPfcYbLNPOeumlNPfVWNmWYiexclcentEgraveJIacuteJkBKhJUYZYJU^ NPYcentEgrave[]jO^NihYm QcO H J[PhdNPfcY^gtiexcl[WFJUPJLheOXiacute[PhYZQCZOslashKfcQcbLQ H mSe-fcJ H jYbn[]OYZQc^eJLh H MeJaringbLNPYJUYgWMeJLhZJ H MeJUYJOslashfcNPY HH WNtilde[`QcO H J[PhdNPfcYOtildeNihZJJBjNPf H [currenLJLhZ[eOgraveWMQcbMaringMNiKKEgraveJUOYX[PhZOslash[]Y H hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhdQRK H [PhY^S5OH MN H bLNPYJSeNPbLbn[Ph^QsO[ H [ H MeJaeligQcOeJBjNPfcQ H m[SXvNPjbdMOgravemV G bdMOgraveWNih H currenSe H MeJXiacuteNPY H JUY H^eJUbnhJUNPYJa[SXocirc|aagravejOslashQcY [Pcent H NPQcOeJU^ XhZ[]Zecirca jOslashcentm bMe[B[]YZQcOF[beuml aacute ccedilyeacute WMQsbMfRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[aeligJUP[]fcj H Qc[]O JjN H QR[]OOaringaelig Yacuteaagravejaelig agrave aacuteFuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yuml uuml thorn otilde)yuml eacute aacuteccedilaumlordfegrave ETHeacute thorn timesOslash yumlauml aelig thorn timesOslash yumlauml acircccedilaumlordfegrave ETHeacute thorn UgraveUcircUacuteUuml yumlauml aelig thorn UgraveUcircUacuteUuml yumlauml lteacute a macr]jUcircX H MJ^eJUYZbnhQRK H [PhY$^e[TOe[ H ^eJLKEgraveJUO^times[]OregagravetaiacutehZJ[]QR[]OeV4QcO^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhYjeH MeJgiexcl hZJU^jbnJUY H [ H MeJordfXiacute[]fcfR[WQcO[aeligJkWKhZJUYZYQR[]OOaringaelig Yacuteaagravejaelig agrave aacuteigraveuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yumldn reguuml thorn otilde)yuml7 eacutelteacute a ]j

uumlnyacutenthornnyumll13YSordmY_FY

f $amp)(+-)013021+345627893lt=gt9A6CB JaeligbLNPO`O[ H QcbnJ H MN HH MeJtimes^eJLKEgraveJUO^eJUObnJauml[SX H MJIacute^eJUYZbnhdQRK H [PhY[]OwagraveeEgraveNPO^aY[ []OH MeJiexclbLjehYUPJJUP[]fcj H QR[]OOeQcO^jbnJUY0NP^^Q H QR[]ONPf H JLhlZaringYFQcO H MeJiexclJUP[]fcj H QR[]O JjN H QR[]O[SX H MJFNPb H QVUPJ(bn[]O H []jeh^SMeJNP^^Q H QR[]ONPf H JLhZaringYQX[]jO^IacuteQcOoa macr]jbLNPOOe[ H hZJUNP^QsfVmcentEgraveJtimes[Pcent H NPQcOeJU^ WMJUO H MeJOslash^mBONSZaringQcbLNPfampYZbMJZOslashJaringQcYOtildeQcO H hZ[W^jbnJU^eumlNX H JLh H MeJOslashbn[]ZaeligVKj H N H QR[]Oa[SX H MeJaelig^eJLhQVUiN H QVUPJaeligjYZQcO[o0jfcJLhVA9N[PhNPOF[PJIacuteJBjN H QR[]OY^MjYe-Q H QcY[SX=KhQZaringJOeJUbnJUYZYZQ H m H [TQcO H hZ[B^jbnJ H MeJ^mWONSZaringQsbLNPfeYZbMeJZaringJiexclQcO H [ H MeJbnhQ H JLhQR[]OQ H YZJUfVXiexclQcO[Phd^eJLh H [JUNPYZQsfVmsup1[PJ H H MeJUYJaNP^^Q H QR[]ONPf H JLhlZ Y QcO bLNPYJa[SXhJ[]QR[]OWV^eJLKEgraveJUO^JUO H ^JUYZbnhQRK H [PhdY^MNPO`BY H [ H MeJUYJeumlNP^^Q H QR[]ONPf H JLhlZaringYeWFJ`JUOYZjehZJH MeJordfXqNPY H JUY H JUP[]fcj H QR[]O [SX H MeJIacutebLjehYUPJ H [WNih^YiexclNZaringQcOQZIacutejZ [SX H MeJTbnhdQ H JLhQR[]OO^ JeumlbLNPO NPfcY[hZJZaringNihY` H MN H H MeJUPJUfR[BbLQ H m[SX H MeJ bn[]O H []jhQsOa macr]j bLNPOcentEgraveJ K=[]YQ H QVUPJ[PharingOeJ[]N H QVUPJS^|MQcYaeligNPO QcO H JLhZJUY H QcO[eumlKh[PK=JLh H mOacute[SXiexclhZJ[]QR[]OWVcent-NPYJU^NPb H QVUPJ bn[]O H []jehY^ q O H MeJ bn[]O H hNihYm H [ centEgrave[]jO^NihYmVcentNPYJU^7NPb H QVUPJ bn[]O H []jehdYehZJ[]Qc[]OWVcentNPYJU^7NPb H QVUPJbn[]O H []jehYOslashNPfcfR[WYZ[]ZOslashJKNih H Ytimes[SX H MeJ bLjehYUPJ H [YZMehQsO`WMQcfRJ[ H MeJLhY(JkWKNPO^O^FMjY H MeJaumlQcOQ H QsNPfcQVcurrenUN H QR[]O QcYfRJUYYbn[]OY H hNPQsOeJU^O^^ macr^iexclEacuteltIacuteETHNtildeFETHEacuteshyOacute Eacute10wETH9IgraveumlIgravesup1+shyEacuteltEumlETHETH3EacuteshyOacuterIgrave5euml1ONtildeFETH32EacuteltOacute0EacuteltEgravexIcircEacuteshyIacute5IgraveIgrave2shyNtildeshyIacuteEumlOgraveIgraveIcirclaquoEacute10C8ltIgraveIcircd=KEgrave(ETHEacuteltEgraveIcircMJu[P[]NPf[SX H MQsY$KNih H QsY H [timesbn[]ZaringKj H J H MeJiexclJUP[]fcj H QR[]O JjN H QR[]Oaring[SX H MeJNPb H QVUPJbn[]O H []jehOcircXiacute[Ph0Y[]ZOslashJ(JkeNSZOslashKfcJUY$[SX-hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhY^SgJ H jY H N`PJY[]ZaringJT^eJUYZbnhQcK H [PhY(^eJLKEgraveJUO^QsO[aelig[]O H MeJyZOslashJUNPOBSOtimesOslash [Phiexcl[]O H MeJgUiNihQcNPObnJjuFtimesOslash [SXH MeJOtildeJUP[]fUBQcOF[OslashhZJ[]QR[]OwOumlcopytimesOslashaagravejaringEFFG FFH SOtimesOslashKaagravejumlaacute iacute $ w$ thorn yuml Otilde atilde auml WiexclQ H M icirctimesOslashaacute w$ thorn yuml atilde aumlu centtimes Oslash aagravejsup1aacute iacute $ w$ thorn yuml aOtilde SOtimes OslashKaagravejj cent atilde auml^ macr^f^iumlordfcentltshyltAringordfregethIumlIgravecurrenRAringcentmicroETHfrac34IumlltlaquomicroRreglaquoNOacute]currenRlaquosectsup1jCcedilR RAringordfregL Rlaquo3shy JTbdMe[B[]YJ H MeJgXiacute[]fcfR[WQcO[OslashYJ H [SX^eJUYbnhQRK H [PhYaring

uuml thorn UgraveUcircUacuteUuml yuml ^e[BJUYOe[ H ^eJLKEgraveJUO^[]Owagraveuuml thorn timesOslash yuml aacutecntildeaLuOcenttimes Oslash j a zSjWMJLhZJampntildeaOgravejQsYNOslashKEgrave[]YZQ H QVUPJiexclXqjOb H QR[]O[SX$bLfcNPYYograve aj^MQcYiexclUPJUfR[WbLQ H mumlUPJUb H [PhOslashQcYaumlbn[]ZaringKj H JU^centmeumlhZJLKfcNPbLQsO[ H MeJ H JLhZaringYauml[SXga jgWQ H MH MeJUQch$JkBKhJUYZYZQR[]OY^ J hY H JkWKhZJUYZY H MeJ^eJUYZbnhQcK H [Ph|uuml thorn timesOslash yuml NPYyNTbn[]ZTcentQsON H QR[]O[SXamp^e[]ZaringNPQcOY(QcO H J[PhdNPfcYaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacutemiddot thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn timesOslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejjaacutecntildeoacute agrave thorn timesOslash yuml aagravejagrave thorn timesOslash yumlcent aagravejfocirc a i]j

uumlnyacutenthornnyumll13YSordmY_FPa

yenKbrvbarsect =4 acirc $ fzWMJLhZJSaring EFFG FFH agrave thorn timesOslash yuml aagravejpoundaacute w$ thorn yuml aOtildegta2atildeltszligaumlj SOtimes OslashaagravejjUcirccent atilde aumlagrave thorn timesOslash yumlcent aagravejpoundaacute w$ thorn yuml atilde auml a h]j O^ H MBjYaring aelig thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacuteacircaOtildeKa2atildeshyszligaumlFj S timesOslash aagravejjUcirccentaelig thorn timesOslash yumlcent a2atildeshyszligaumlKszligYagravej|aacute f ad s j Y5XiacuteNihaumlNPY H MeJOslash^e[]Z NPQcO`QsO H J[PhNPfsYUacute[SX H MeJOslash^eJLhQVUiN H QVUPJaelig[SX H MJXqjOb H QR[]OY aelig thorn timesOslash yumlaumlNihZJaumlbn[]ObnJLhOeJU^OeFWFJauml[Pcent H NPQsOOaringEFFFG FFFH w5$ thorn yuml frac14ltotildeouml $_divideoslashfrac14 atilde aumlordmaacute frac14ltugrave $frac14 w$ thorn yuml aOtildeKa2atildeshyszligaumlFj SOtimesOslashKaagravejj atilde aumlaacute sw5$ thorn yuml frac14ltotilde ouml $_divideacircfrac14 atilde aumlordmaacute s adfjMJ H JLhZaringY eacute thorn timesOslash yumlauml NPfcY[aringMNUPJ H [ cent=Jaumlbn[]ZaringKj H JU^OeNPO^tWNtildeJg[PJ H aringEFFFG FFFH eacute thorn

timesOslash yuml aacute w$ thorn yuml uacute ouml $_divideacircntilde raquo7ucirc uacute ouml $_divideoslashuacute ouml $_divideacircyacuteuuml atilde aumlaacutecntilde raquo aLu centtimesOslash jeacute thorn timesOslash yumlcent aacute w$ thorn yumlBthorn uacute ouml $_divideoslashthorn uacute ouml $_divideacirc yuml acirc ntilde raquo ucirc uacute ouml $_divideoslashuacute ouml $_divideacirc uuml atilde aumlregaacute u centtimes Oslash ntilde raquo aLu centtimes Oslash j

G QsObnJ H MeJOslash^e[]Z NPQcO`QsO H J[PhNPfsYiexcl[SX frac14ltotildeouml $ordfdivideoslashfrac14 NPO^ frac14ltotildeouml $_divideacircfrac14 NihZJaeligJBjNPf H [currenLJLhZ[poundadfjeWFJOtildebLNPO ^QRhZJUb H fVm bn[]ZOslashKj H J H MeJiexclUPJUfR[WbLQ H mregUPJUb H [Ph[SX H MeJOtildeNPb H QVUPJTbn[]O H []jehuXiacutehZ[]Za macr]jNPO^WNtildeJyO^Oaringaelig Yacuteaagravejaelig agrave aacuteuumlgtthorn timesOslash yuml uumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn otilde)yuml dacute uumlgtthorn otilde)yuml eacutentilde raquo aLu centtimes Oslash jaaOtilde SOtimesOslashj cent u centtimesOslash jcedilQeacute ad j5Otad jeOgraveWFJbLNPOaringhJZaringNihY` H MeJ(KhZJUYJUObnJ[SX H MJNP^^Q H QR[]ONPf H JLhlZntilde raquo aLuOcenttimesOslash jaaOtilde SOtimesOslashj cent u centtimesOslash jeacuteacirc^^ macr^ ^iumlordfcentltshyltAringordfregethIumlIgravecurrenRAringcentmicroETHfrac34IumlltlaquomicroRreglaquoNOacute]currenRlaquosectsup1jpoundn Rlaquo JTbdMe[B[]YJ H MeJgXiacute[]fcfR[WQcO[OslashYJ H [SX^eJUYbnhQRK H [PhYaring uuml thorn UgraveUcircUacuteUuml yuml ^e[BJUYOe[ H ^eJLKEgraveJUO^[]Owagraveuuml thorn timesOslash yuml aacutecntildeaOtilde S timesOslash aagravejj adS]j

uumlnyacutenthornnyumll13YSordmY_FPo

fi $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJampntildeaOgravejQsYNOslashKEgrave[]YZQ H QVUPJiexclXqjOb H QR[]O[SX$bLfcNPYYograve aj^ YKhZJUWQR[]jYZfVmSe H MeJlaquoUPJUfR[WbLQ H mfrac34UPJUb H [PhTQcYbn[]ZOslashKj H JU^eumlcentmhZJLKfsNPbLQcO[ H MJ H JLhZaringY[SXua jcopyWQ H M H MeJUQRh(JkWKhZJUYZYZQc[]OY^FMeJauml^JUYZbnhQRK H [Ph uuml thorn timesOslash yuml QcY(JkWKhZJUYZYJU^centmKaringuuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacutei thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn times Oslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejjaacutentildeoacuteOtilde agrave thorn timesOslash yuml aagravejagrave thorn timesOslash yumlcent aagravejfocirc adj

WMJLhZJSaring EFFG FFH agrave thorn timesOslash yuml aagravejpoundaacute w5$ thorn yuml Otildegta2atildeltszligaumlj atilde aumlagrave thorn timesOslash yumlcent aagravejpoundaacute w5$ thorn yuml atilde auml adSmacr]j O^ Y[aring aelig thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejOcircaacuteegraveOtildegta2atildeltszligaumljaelig thorn timesOslash yumlcent a2atildeshyszligaumlKszligYagravejOcircaacute f adS]jG QsObnJ H MeJordfXiacutejOb H QR[]OY aelig thorn timesOslash yuml NPO^ aelig thorn timesOslash yumlcent ^e[aringO[ H ^eJLKEgraveJUO^[]OtagraveeFWFJTMNUPJSaringEFFFG FFFH w$ thorn yuml frac14ltotilde5ouml $ordfdivideoslashfrac14 atilde aumlregaacute s

w$ thorn yuml frac14ltotilde5ouml $ordfdivideacircfrac14 atilde aumlregaacute s ad]zSjMJ H JLhZaringY eacute thorn timesOslash yumlauml NihZJ H MJUObn[]ZOslashKj H JU^eNPO^WFJauml[Pcent H NPQcOOaringEFFFG FFFH eacute thorn

timesOslash yuml aacute w$ thorn yuml thorn uacute ouml $ordfdivideacircntilde raquo7ucirc Otilde uacute ouml $ordfdivideoslashuacute ouml $ordfdivideacircyacuteuuml atilde aumlaacute thorn iacute $ w$ thorn yuml ntilde raquo aOtilde SOtimesOslashj atilde aumleacute thorn timesOslash yumlcent aacute w$ thorn yuml uacute ouml $ordfdivideoslashthorn uacute ouml $_divideacirc yuml acirc ntilde raquo ucirc Otilde uacute ouml $ordfdivideoslashuacute ouml $ordfdivideacirc uuml atilde aumlordmaacute ugrave $iacute $ w$ thorn yuml ntilde raquo aOtilde SOtimesOslashj atilde auml JUacutebLNPO H MeJUObn[]ZOslashKj H JUacute^QRhZJUb H fm H MJ_UPJUfR[WbLQ H mUPJUb H [Ph[SX H MeJUacuteNPb H QVUPJOtildebn[]O H []jhXiacutehZ[]Zigravea macr]j(NPO^WNtildeJyO^Oaringaelig Yacuteaagravejaelig agrave aacuteuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yumldacute uuml thorn otilde)yuml eacute aOtilde SOtimesOslashjicircFtimesOslash $ thorn yuml ntilderaquo)aOtilde SOtimesOslashjmiddotQeacute adSi]j

5O H MeJtimesKNih H QsbLjfcNihiexclbLNPYZJIacute[SXIcircntildeaOgravejuaacuteOslashScenteKWFJtimesMNUPJnntilde raquo aOgravejcopyaacute NPO^ H MeJLhZJXiacute[PhZJSeH MeJiexclNP^^Q H QR[]ONPf H JLhlZaringYebn[]ZaringQcO[gXiacutehZ[]Z H MeJ UiNihQcN H QR[]O [SX H MeJiexcl^eJUYbnhQRK H [PhYOcircWQ H MagraveeNihJJjNPf H [gcurrenLJLhZ[^[WNtildeJUPJLheWQsOordmZOslash[]Y H bLNPYZJUYe H MQsYyNP^^Q H Qc[]ONPf H JLhlZoslashQsYyOe[ H

uumlnyacutenthornnyumll13YSordmY_FPy

yenKbrvbarsect =4 acirc $ fhcurrenLJLhZ[^ not [PhaeligJkeNSZOslashKfRJSeampQVXUgraventildea]jaacute yuml Wiexcl cent eshyWiexclQ H MN`KEgrave[]YZQ H QVUPJ bn[]OY H NPO H eQWFJMNUPJSaring

ccedil aacuteFuumlgtthorn timesOslash yuml uumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn otilde)yuml uumlgtthorn otilde)yuml eacute aOtilde SOtimesOslashjicircFtimesOslash $ thorn yuml aOtilde SOtimesOslashj IcircAumlaOtilde SOtimesOslashj cent adSh]j^ ^~IacuteFEumlIgraveFIacute5IgraveFOacuteETHNtildeFETHEacuteshyOacuteAgraven13ETH9 ETH9IgraveumlEumlIgravesup1+ltIgraveFEumltIcircIgraveFETHbIacute5IgraveFETH9shyEacute18 YXqNih0NPY H MeJOBjFZOslashJLhdQcbLNPfeQZOslashKfcJZOslashJUO H N H Qc[]OtimesQsYybn[]ObnJLhOeJU^eSWNtildeJbLNPOZOslash[W^eJUf H MeJNPb H QVUPJaumlbn[]O H []jeh_WQ H MNPOJkBK-fcQcbLQ H KNihNSZOslashJ H JLhdQVcurrenUN H QR[]ObaN[PhNPO[]QcNPOXiacute[PhlZtimesjfcN~VH QR[]OKjaelig[Ph NPO QCZOslashKfcQcbLQ H []OeJraNtildejfRJLhQsNPO Xiacute[PhlZIacutejfcN H QR[]Ogtj^ G JLJra G J H MQcNPOOe5fhSh s jNPO^egraveaJUfcQcO[PJ HH J NPO^ _a[]O H N[]ON H e sSs fjX[PhaeligNPOQcO H JLhZJUY H QcO[eumlbn[]ZOslashKNihdQcY[]OcentEgraveJ H WFJLJUO H MeJ H WNtilde[ZOslashJ H M[B^Y^ iexclO[ H MeJLhOtildeQcO H JLhJUY H QcO[aringhJUBQRJW[]O H MeJtimes^Q=JLhJUO HZOslashJ H M[B^Y[SX$NPb H QVUPJIacutebn[]O H []jehQcY(Kh[PK=[]YZJU^ QcOpoundaw_[]O H N[]ON H J H NPfd^Ve sSs fj^iexclJLhZJSeWFJaumljYJ H MeJaumlfRJUPJUfYZJ H ZOslashJ H Me[W^ NiKKhZ[]NPbdM KhZ[PKEgrave[]YJU^centm q YMeJLhNPO^G J H MQcNPOa q YZMJLh NPO^ G J H MQcNPOe fhSiSi]j centj H hJ[]QR[]OWVcentNPYJU^ NPb H QVUPJeumlbn[]O H []jehdYZaringNmNPfcYZ[ centEgraveJQZOslashKfcJZOslashJUO H JU^7centmjYQcO[`XNtildeV4YK-fcQcOeJUYXiacute[PhaeligNPOJkWKfcQsbLQ H K-NihNSZOslashJnVH JLhQcurrenUN H QR[]O ayhZJUbLQc[]Y[ NPO^XNihfcNPj^Oe sSs fj^shyMJ`PJmeumlQc^eJUN [SX H MeJOslashfRJUPJUfampYJ HZOslashJ H M[B^QsY H [ QcO H hZ[W^jbnJaumlNPO`NPjkWQsfcQcNihYmXiacutejOb H QR[]O l a2atildeltszligaumlgtszligYagravejYZjbdM H MN H YacuteaagravejQcY H MJtcurrenLJLhZ[OacutefRJUPJUfYJ H [SX l ^OcircMJXiacutejOb H QR[]O l QsYaelig[SX H JUO bMe[]YJUO H [centEgraveJ H MeJYZQ[]OeJU^ ^QcY H NPObnJordfXiacutejOb H QR[]O[SXQYacuteaagraveje-NPO^ QsY H MeJUObdMNihNPb H JLhQVcurrenLJU^acentmKaring

YacuteaagravejOcircaacute a2atildeltszligaumljPO l a2atildeshyszligaumlKszligYagravejaacute s a2 s jMQcYOcirc0jfRJLhQcNPOordmXiacute[PhlZtimesjfcN H QR[]O KhZJUYZJUO H YFYJUPJLhNPfEgraveNP^UiNPO H N[PJUYga G J H MQcNPOOeKfhShS]j^not QRhY H fVmSe H MeJabLjehYUPJ l ZaringNmcenthJUN`[PhoZOslashJLhY[PJNPY H MJXiacutejOb H QR[]O l JUP[]fUPJUYeNPO^ H [PK=[]fc[S[]QcbLNPfbdMNPO[PJUYFNihZJ H MBjY$JUNPYZQsfVmOslashMNPO^fRJU^^ G JUbn[]O^fVmSe H MJJUP[]fVUWQcO[XqjOb H QR[]O l a2atildeshyszligaumlKszligYagravejNPfVWNmWY(hZJZaringNPQcOY(NlaquoXiacutejOb H QR[]O NPfcfR[WQcO[timesJltz bLQRJUO H OBjFZOslashJLhVQcbLNPfFYZbdMeJZOslashJUY^OcircMQRh^fVmSe H MeJ[PJL[]ZOslashJ H hQcb KhZ[PKEgraveJLh H QcJUYT[SX H MeJ bLjehYUPJSe$fcQV`PJ H MeJbLjehlU~N H jehJ NPO^ H MeJOslashOe[PhlZ NPfshyUPJUb H [PhordfJUfs^eacute e=bLNPO centEgraveJIacuteJUY H QZaringN H JU^euml^QRhZJUb H fmXiacutehZ[]Z H MeJTfcJUPJUfgYJ H XqjOb H QR[]Oaring aacute V ucirc l l uuml NPO^ eacuteecircaacute l l a2FfjMJJUP[]fsj H QR[]O JBjN H QR[]O H MeJUO centEgraveJUbn[]ZOslashJUYaringaelig l aagravejaelig agrave aacuteegraveccedilacute l a2 jMJregUPJUfR[WbLQ H msup1XiacutejOb H QR[]OxccedilEQcYIacutebn[]ZaringKj H JU^7[]OfVm[]O H MeJbLjehYUPJYacuteaagravejaumlcent-j H WFJbLNPO Jk H JUO^ Q H YFJkBKhZJUYZYZQR[]O H [ H MeJiexclWMe[]fRJUacuteQZaringN[PJOtilde^e[]Z NPQcOoOumlordf^[OslashQZOslashKfRJZaringJUO HH MeJIacutefRJUPJUf9YJ H ZOslashJ H Me[W^OeY[]fsj H QR[]OYuZtimesjY H centEgraveJgXiacute[]jO^ H [ bLQRhbLjZyUPJUO H Kh[PcentfRJZaringY

uumlnyacutenthornnyumll13YSordmY_FP

s $amp)(+-)013021+345627893lt=gt9A6CBbn[]ZaringQsO[ Xh[]Z H MeJpoundXqNPb HH MN H`H MeJYZQV[]OeJU^ ^QcY H NPObnJumlXqjOb H Qc[]O l QcYaOe[ H NY[]fsj H QR[]O[SX H MeJyiexcl a2 jeEgraveYJLJa []ZOslashJUYNPO^ not NPjF[PJLhNPYe sSsSs jyacuteXiacute[Phiexcl^J H NPQcfcY^5Oaelig[]jehWF[PhY`gte H MJuXiacutejOb H QR[]O l QcYamphZJUQsOQ H QcNPfcQcurrenLJU^TY[ H MN H Q H hZJZaringNPQcOYampNOtilde^QsY H NPObnJXqjOb H QR[]OenYZJLJ5aq jecentEgraveJLh H NPO^gcOtilde[PhdOeKhZ[PcentY H e sSs fJLcenthZJUjFUPJSe sSsSs jOXiacute[Ph^J H NPQcfcY[]O H MJOtildehZJUQcOQ H QsNPfcQVcurrenUN H QR[]O JBjN H QR[]OO^5Oeuml[Ph^eJLh H [QCZOslashKhZ[UPJaringOjFZaringJLhQcbLNPfJltz bLQRJUObmSeOWFJaringbn[]ZOslashKj H J H MeJOslashJjN H QR[]O[]O NIacuteONihhZ[Wcent-NPO^aringJUObLfc[]YZQcO[ H MJiexclfRJUPJUf s [SX H MeJUacutefRJUPJUf-YJ H XqjOb H Qc[]OO^ JUacuteNPfcY[jYZJZtimesjf H QRhZJUYZ[]fcj H QR[]O H JUbdMOQBjeJUYcentmZaringN`BQsO[ H MeJFNPb H QVUPJ(bn[]O H []jh$JUP[]fVUPJcopyhY H[]ONOslashfc[W hZJUYZ[]fcj H QR[]O QZ N[PJS^FMeJordfONPfbn[]O H []jeh[Pcent H NPQcOeJU^Xiacute[Ph H MQcYhJU^jbnJU^QZ N[PJaumlQcY H MeJUOjYJU^ NPYNPOQsOQ H QcNPfEgravebLjehYUPJordfXiacute[Ph H MJOtildehZJUNPfgYZQVcurrenLJaumlQCZaringN[PJS^

EparaacuteAgravegtmicrosup1acuteIKJcedilJT2MgtI MraquowMgtmicrosup1MAgravegtacuteIltacuteMgtPltAtilde iquest acuteAgravegtT2MKIshyAtildeAcirccedilAtildeacuteNicircMgtI cedilAEligMgtmicroOcircacuteOgraveJTCJT13MKI sup2OcircacuteJordfsacuteacuteI Jfrac14ltacutegcedilFLT2cedilIshyROgraveacuteAtilderaquoAMLBqoLacute13AtildeR]cedilsup32acute GmicrobcedilAgraveacuteAtilde5O H MQcYUacuteYJUb H QR[]OOeOWFJOslashKhZ[PKEgrave[]YJaeligY[]ZOslashJOslashhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhY H [YJ[iVZOslashJUO H M[]ZOslash[S[PJUOeJL[]jYiexclhZJ[]QR[]OYiexcl[]Ofrac34[PhZJmBYbLNPfRJIacuteQZ N[PJUY^gtMJUYJIacute^eJUYbnhQRK H [PhYiexclNihZJcentNPYZJU^[]O H MJZaringQcOQZaringQVcurrenUN H QR[]O [SX H MeJU~NihdQcNPObnJUYauml[SX H MJ H WF[`bn[]OYZQc^eJLhZJU^OacutehZJnV[]QR[]OY^ 5O H MJ7YJUbn[]O^ K-Nih H e H MJQZOslashKEgrave[Ph H NPObnJOacute[SX H MeJNP^^Q H QR[]ONPf H JLhZaringYebn[]ZaringQsO[XiacutehZ[]Z H MeJiexclU~NihdQcN H QR[]O [SX H MeJUacute^eJUYZbnhQcK H [PhYWQ H M H MeJiexclJUP[]fUBQcOF[IacutehZJ[]Qc[]OYeQcY9MQV[]MfcQ[]M H JU^O^ G QCZOslashKfRJJkWNSZaringKfRJUY9YMe[W H MeJ0QZOslashKEgrave[Ph H NPObnJ$[SX H MeJUYJ0NP^^Q H QR[]ONPfH JLhlZ Y H [ NPbMQRJUPJ H MeJOtildeJkWKEgraveJUb H JU^aYJ[]ZaringJUO H N H QR[]O^^f^laquoIgraveIcirc=KEgrave(FETHOEacuteltEgraveIcircEcircgtNtildeltIcircIgrave8 EacuteshyOacute ETH9Igravek+NtildeshyEgrave13NtildeshyOacute=KIgraveC0EacuteshyEgraveh4ltEgraveOIgravesup1QIcirc=NtildeltEumlOgraveIgrave2Iacute Ntilde4ltIgraveIcircMJQcO H JUOYZQ H mregXiacute[Phu[PhZJmWYZbLNPfRJaumlQZ N[PJUY(QcYhZJLKhZJUYZJUO H JU^centm NlaquoXqjOb H QR[]OOtilderegaringOgraveOumlOtilde 13ordfcentwntilde Otilde 13laquo^ JaKhZ[PKEgrave[]YJ H [bZaringQcOQZaringQVcurrenLJ H MeJU~NihdQcNPObnJUYOslash[SX H MeJ H WF[bn[]OYZQc^WVJLhZJU^ Me[]Zaring[S[PJUOeJL[]jY hZJ[]Qc[]OY QcO [Ph^eJLh H [YJ[]ZOslashJUO H H MeJZ^uMJXiacute[]fcfR[WQcO[^eJUYbnhQRK H [PhY(NihJaumlYZj[S[PJUY H JU^OaringEFG FH uuml thorn UgraveUacuteUuml yuml aacutecntildeaLuOcentUgraveUacuteUuml juuml thorn times Oslash yuml aacutecntildeaLuOcenttimes Oslash juuml thorn otilde)yuml aacutecb a2Ograve]jWMJLhZJjntildea]jQcYNOslashKEgrave[]YZQ H QVUPJordfXiacutejOb H QR[]O [SX$bLfcNPYZYEacuteograve aOtilde 13yj(NPO^kb`NOslashKEgrave[]YZQ H QUPJaumlbn[]OWVY H NPO H ^MJTbn[]ZOslashKj H N H Qc[]O[SX H MeJUPJUfR[BbLQ H mUPJUb H [PhaumlQcY^JU^jbnJU^tXiacutehZ[]Z H MeJIacutebn[]ZOslashK-j H N~VH QR[]O`[SX H MeJaelig^eJLhQVUiN H QVUPJIacute[SX H MeJtimesbnhdQ H JLhQR[]Opoundocirc7^eJUPJUfR[PKEgraveJU^ QcO G JUb^^ macr^feWMQsbMfRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[aeligJUP[]fcj H Qc[]O JjN H QR[]OOaringaelig Yacuteaagravejaelig agrave aacuteethntildeaLu centtimesOslash j ntildeaLu centUgraveUcircUacuteUuml jb ntilderaquo)aLu centtimesOslash jaaOtilde S timesOslash j cent u centtimesOslash j ntilde raquo aLu centUgraveUcircUacuteUuml jaaOtilde SUgraveUcircUacuteUumlj cent u centUgraveUacuteUuml jIcirc13eacute a2Sj

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ fMJiexclYZQcOF[]fRJiexclK-NihNSZOslashJ H JLhcopyWNtildeJOtildeOeJLJU^ H [aringNP^~ZjY H QcY H MeJUacuteYYZOslash[B[ H MQcO[timesKNihNSZOslashJ H JLhb^5OregXqNPb H e H MeJ X [W ethb MNPY H MeJiexclKhZ[PKEgraveJLh H QRJUYNtilde[SXYYZOslash[B[ H MQcOF[IacutecentEgraveJUbLNPjYJOtildeQ H ZOslash[UPJUYH MeJUacutebLjehYUPJUacuteQcO H MeJUacute^QRhZJUb H QR[]O [SX9Q H YfRJUOF[ H MregXqjOb H QR[]ONPfQa G Qs^^QBQeJ H NPfd^VeOfhShS]j^^ ^~IacuteEacuteltEgraveETHOgraveNtildeltOacute=KIgravefrac34Eacute10frac34ETH9Igrave Ntilde8182ETHEacuteshyOacuteNtildeshyEumlETHIgraveFEgraveOIacute5Icirc5O[Ph^JLh H [7JU~NPfcjN H J H MeJ QZOslashKEgrave[Ph H NPObnJ`[SX H MeJ`NP^^Q H QR[]ONPf H JLhlZaringYX[Ph H MeJYJ[]ZaringJUO H N H QR[]OeuWNtildeJpoundZaringN`PJ H MJeumlNPb H QUPJbn[]O H []jehaJUP[]fVUPJ H MehZ[]j[]M H MJ iexcla2SjeQsObLfcj^QsO[ H MeJaumlNP^^Q H QR[]ONPf H JLhlZaringY^ q O H MeJUacute[ H MeJLhMNPO^OeWNtildeJaumlNPfcYZ[ZaringN`PJQ H JUP[]fUPJfrac34WQ H M H MeJwXiacute[]fcfR[WQcO[ WhZ[]OF[JUP[]fcj H QR[]OJjN H Qc[]O H MN H ^e[JUY Oe[ HQcObLfcj^eJ H MeJaumlNP^^Q H QR[]ONPf H JLhlZaringYaringaelig Yacuteaagravejaelig agrave aacuteethntildeaLu centtimesOslash j ntildeaLu centUgraveUcircUacuteUuml j`b Qeacute iuml a2Ogravemacr]jnot [Ph H MeJOtildeJkWKEgraveJLhQZOslashJUO H YeWFJ H N`PJntildeaOgravejOcircaacute ILK KafcediliexclOgravejWMQsbM[]QVUPJUYntilde raquo aOgravejaacutefdOafcedil]j(NPO^ H MeJgUiNPfcjeJOtilde[SX H MeJaumlKNihdNSZOslashJ H JLhEacutebaQcY(YJ HH [frac34f s ^OcirckBKEgraveJLhQCZOslashJUO H Y NihZJ KEgraveJLhYX[PhZOslashJU^ []O NYmWO H MJ H Qcb`QCZaringN[PJumlZaringNP^eJeumljeK [SXTNPO

Me[]Zaring[S[PJUOeJL[]jYYYBjNihZJ[SX9QcO H JUOYZQ H mwf s []O NIacutecentNPbl`[PhZ[]jO^ [SX9QcO H JUOYZQ H mtf s ^ []NPjYZYZQsNPOOe[]QcYJUacute[SXUiNihQcNPObnJ s QcY(NP^^eJU^ H [ H MQcY(YmWO H MJ H QcbOtildeQZaringN[PJS^MeJOtildeJUP[]fcj H QR[]Oa[SX H MeJTNPb H QVUPJtimesbn[]O H []jehUacute^ehQUPJUOcentmpounda2SjQcYu[]QVUPJUO`QcO not QV[^ WMQcfRJ H MeJ[]OeJ`[Pcent H NPQcOeJU^ jYZQcO[ a2Ogravemacr]j QcYordm[]QUPJUO QcO not QV[^ ^ J bLNPO hZJZaringNihY`H MN H WMeJUO H MeJoiexclQsObLfcj^eJUY H MJ NP^^Q H QR[]ONPf H JLhZaringYe H MJ YYBjNihZJ QcYgWFJUfcfYJ[]ZaringJUO H JU^acirca not QV[^ ^bjeuWMeJLhJUNPYWiexclMeJUO H MeJ |iexclD^e[BJUY Oe[ H QsObLfcj^eJ H MeJUYJNP^^Q H QR[]ONPf H JLhZaringYwWFJ7[Pcent H NPQcO N bLQRhbLfcJOacuteQcOY H JUNP^ [SX H MeJ7JkBKEgraveJUb H JU^YYBjNihZJa not QV[^ ^bj^MeJUYJhZJUYZjf H YNtildebLNPOcentEgraveJcentEgraveJ HH JLh(jO^eJLhY H [[W^WMQcfRJNPONPfmcurrenUQcOF[ H MeJiexclUPJUfR[WbLQ H mUPJUb H [PhYUacute[SXNtildeJUNPbMJUP[]fsj H QR[]O JjN H QR[]OO^ Jaringbn[]ZOslashKNihZJ H MeJ H WF[ JUP[]fcj H QR[]OYiexcl[SXH MeJlaquoUPJUfR[WbLQ H mwUPJUb H [PhYauml^jehQcO[ H MeJaeligKhZ[PKN[]N H Qc[]Oeuml[SX H MeJOslashbLjehYUPJwa2WiexclQ H Me[]j HH MeJcentEgrave[]jO^NihYmVcent-NPYJU^ H JLhlZb j^MeJ(JUP[]fcj H Qc[]OOslash[SX H MeJNSZOslashKfsQ H j^eJ[SX H MeJyacuteUPJUfR[Wb|VQ H mregUPJUb H [Ph[SXQ|iexcla2SjFQsY[]QUPJUO QcO not Q[aqYj^ ^ ^OecurrenJSe Xfrac34]eWMQsfRJ H MeJOtildeNSZOslashK-fcQ H j^eJ[SX H MeJUPJUfR[WbLQ H mwUPJUb H [PhOtilde[SX||iexclacirca2Ogravemacr]jiexclQcY []QUPJUO`QcO not QV[aqYj^ ^ ^OecurrenJSe Xfrac34]^ JOslashbLNPO[PcentYZJLhYUPJ H MN HaringH MeJUPJUfc[BbLQ H msup1WiexclQ H Me[]j HaeligH MeJNP^^Q H QR[]ONPf H JLhlZaringY QcYaeligNbn[]OY H NPO HWMJLhZJ [PcentUWQR[]jYfVm H MJaQZaringN[PJfrac34XJUN H jehJUY ^e[OacuteO[ H NiKKEgraveJUNih^ q O H MeJabn[]O H hNihYmH MeJaumlQCZaringN[PJordfXJUN H jhZJUYuWFJUfcfNiKKEgraveJUNihQcO H MeJordfUPJUfR[WbLQ H m QcObLfcj^QcOF[ H MeJaumlNP^^Q H QR[]ONPfH JLhlZ Yya not QV[aqYj^ ^ ^OecurrenJSe Xfrac34jiexclNPO^ Y[ H MeJaumlYljNihJTbLNPO centEgraveJordfWNtildeJUfsfYJ[]ZOslashJUO H JU^O^MeJyKhZJUWQR[]jYEgravehJUYZjf H YgYMe[W H MN H Q H QcY[SXeKhQCZOslashJ$OeJUbnJUYZYZQ H m H [ H N`PJQcO H [NPb|Vbn[]jO H0H MJNP^^Q H QR[]ONPf H JLhZaringYeWbn[]ZaringQcO[XhZ[]Z hZJ[]QR[]OeV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhYeQcO[Phd^eJLh H [ hZJUNPbdMaN H hdjeJgZaringQcOQCZIacutejFZ [SX H MeJaumlbnhQ H JLhdQR[]OO^

uumlnyacutenthornnyumll13YSordmY_F

S $amp)(+-)013021+345627893lt=gt9A6CBEIumlparaacuteAgravegtmicrosup1acuteIKJcedilJT2MgtI MraquoordfAEligMgtsup32MLwMKmicrobMgtAgraveacuteIshyacuteMgtPltAtilde iquest acuteAgraveKT13MKIshyAtildeAcirclaquocedilFAtildeacuteNicircMKIJfrac14ltacutepoundAEligMAringcedilFLT2cedilIltR]acuteHcedilJLTOcircfrac12sup3T13ROgravecedilJT2MgtI JMAgraverltcedilFR]acuteacuteJacuteR]JT2MgtIicircT2ItT2NQacuteM paraacutePshyacuteIltR]acuteAtildeMQcY0K-Nih H ^eJUNPfcYWQ H M H MeJOtildeYJ[]ZOslashJUO H N H QR[]O [SXMe[]ZOslash[S[PJUOeJL[]jY(hZJ[]QR[]OYQcOZtimesjfuVH QcYZK=JUb H hdNPfQZaringN[PJUY^ YNPOaJkWNSZaringKfRJSeWFJIacuteYZMe[W H MN HiexclH MeJTbn[UiNihQcNPObnJZaringN H hQVkbLNPOacent=JIacuteNUPJLhYm KEgrave[WFJLhYXqjf H [B[]f H [ YJ[]ZOslashJUO H Me[]Zaring[S[PJUOeJL[]jYbn[]fR[PhiexclhJ[]QR[]OY^F5OXqNPb H e H MeJtimes^eJ H JLhlZaringQsONPO H [SX H MeJTbn[U~NihQsNPObnJZ N H hQkKhZ[UPJUY H [ centEgraveJIacuteNaringhJUfRJU~NPO Hbn[]fR[PhaelighZJ[]Qc[]O7M[]ZOslash[S[PJUOeJUQ H msup1ZOslashJUNPYZjhZJZOslashJUO H a G NPO[SWQcOeJ NPO^r[PhdOeJSeufhShSi]j^_`QcOQZ QVcurrenUQcO[ H MQcYjNPO H Q H m ZOslashJUNPOY H MN H WFJwWNPO HH [^eJUbnhZJUNPYJ H MeJeumlbn[]ZaeligVKfcJkWQ H m[SXUacuteNeumlhZJ[]QR[]Oa hdNmJ H NPfd^Ve sSs fampN H JUjke sSsSs j^MQcY H [B[]fuZaringNmKhdNPb H QcbLNPfcfVm cent=JaumljYJU^X[Ph XiacuteNPbnJtimes^eJ H JUb H QR[]OaQsO QZaringN[PJaumlYJBjeJUObnJUY^macr^f^laquoIgraveIcirc=KEgrave(FETHOEacuteltEgraveIcircEcircgtNtildeltIcircIgrave8 EacuteshyOacute ETH9IgraveAgrave=Eacute3+NtildeshyEgrave13NtildeshyOacute=KIgravefrac34Iacute_NtildeFETHEgraveEcirc20EacuteshyEgrave=EacuteshyEumlEacuteshyEgrave2Iacute Ntilde4ltIgraveIcircMJQcO H JUOYZQ H mxXiacute[Ph bn[]fR[Ph QCZaringN[PJUYaringQcYOslashhJLKhZJUYJUO H JU^centm7NpoundXiacutejOb H QR[]OOtildeegravearingOumlOtilde 13ordfcent ntilde Otilde 13 WMeJLhZJ Otilde aacute Otilde szligYOtildeOgravecentszligYOtilde13ordf ^iexclXm NPONPfR[S[SmAumlWQ H M H MeJOacuteY H j^Fm Xiacute[Ph[PhZJmWYZbLNPfRJFQZaringN[PJUYeWNtildeJZaringQcOQCZaringQVcurrenLJ H MeJNtilde^J H JLhlZaringQcONPO H [SX H MeJFbn[UiNihQcNPObnJcopyZaringN H hQVk[SX H MeJTbn[]OYQc^eJLhZJU^hZJ[]Qc[]OY^ J5ZaringNmaringNPYYZjFZOslashJ H MN H JUNPbdM bn[]fR[PhFhZJ[]QR[]Oacute13 QsYOcircZOslash[W^eJUfcfRJU^OslashcentmOslashNg[]NPjYYZQcNPO^QsY H hQRcentj H QR[]Oeuml[SXyacuteZOslashJUNPOiexclSegraveaacute S szligPS cent szligPS NPO^7bn[UiNihQcNPObnJZ N H hQk5^MeJKh[PcentNicentQcfcQ H maring^eJUOYQ H moXiacutejOb H QR[]O QcYu[]QUPJUO centm H MeJgXiacute[]fcfR[WQcO[aeligJkWKhZJUYZYQR[]OOaring

$ampamp aOtildejOcircaacute fa )( j +cent aq^J H ayacutejj cent JkWK- f aOtilde Sltj thorn aOtilde Sltj a2Ograve]jG [eZaringQcOQZaringQVcurrenUQcOF[ H MJbn[U~NihdQcNPObnJuZaringN H hQktimes^eJ H JLhlZaringQcONPO H [SX-NPOtimesJUP[]fVUWQcO[hJ[]QR[]ONiKKEgraveJUNihY H [OslashcentEgraveJNtimeshZJUfcJU~NPO HH [[]f H [ordmZaringN`PJ H MQcYFhZJ[]Qc[]O bn[]OUPJLhY[PJ H [WFNih^Y H MeJbLfR[]YZJUY H Me[]ZOslash[S[PJUOeJL[]jYbn[]fR[PhiexclhZJ[]QR[]OO^9J H jY$Oe[ H J timesOslash NPO^0copyUgraveUcircUacuteUuml H MJbn[UiNihQcNPObnJ5ZaringN H hQcbnJUYy[SX=hJUYKEgraveJUb H QVUPJUfVmordmOuml timesOslash aagravejNPO^tOuml UgraveUacuteUuml aagravejaring

atilde aacute213 u Patilde u centatilde u atildeu cent atilde u centcentatilde u cent4atildeu5 atilde u5centatilde u54atilde67 a2zSj

WMJLhZJSaringEFFG FFH u times aumlatilde aacute iacutefaring w aring thorn yuml aOtilde times S times atilde jaOtilde auml S auml atilde j atilde aumlS times atilde aacute iacutefaring w aring thorn yuml Otilde times a2atildeltszligaumlj atilde auml WQ H M aacuteiVIgraveOacute[Ph Kf5

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ J [PcentUWQR[]jYZfm`MNUPJacuteu times aumlatilde aacuteu auml timesatilde ^shy9J H jYaumlO[ H J ^eJ H a atilde j H MJ ^eJ H JLhlZaringQsONPO H [SXH MeJaumlbn[U~NihdQcNPObnJZ N H hQkWiexclMQcbMJkBKhJUYZYZQR[]O QcY H MJgX[]fsfR[WQsO[aring

^eJ H a atilde jumlaacute u Patilde u centcentatilde u 4atilde u centatilde u atilde u cent4atilde u Patilde u cent4atilde u cent4atilde u centcentatilde u atilde u atilde u 4atilde u centatilde u centatilde a2Ogravei]jnot jOb H QR[]OY [SX H MeJeumlbn[UiNihQcNPObnJpoundZaringN H hQk ^eJ H JLhZaringQcONPO H YNihZJ jYJU^ NPY hJ[]QR[]O^eJUYbnhQRK H [PhY^ JIacutebMe[B[]YJ H MJordfX[]fcfc[WQcOF[aeligYZJ H [SX$^eJUYZbnhQRK H [PhYaringEFG FH uuml thorn UgraveUcircUacuteUuml yuml aacute98ordfaq^eJ H acopyUgraveUcircUacuteUumlAjjuuml thorn timesOslash yuml aacute98ordfaq^eJ H a timesOslash jjuuml thorn otilde)yuml aacuteOslashb a2Ograveh]jWMJLhZJ8ordfaOgravejFQcYNOslashKEgrave[]YZQ H QVUPJiexclXiacutejOb H QR[]O [SXampbLfcNPYZYograve aOtilde 13yjFNPO^Cb`NOslashKEgrave[]YZQ H QVUPJOtildebn[]OWVY H NPO H ^gJ H jYNtildeOe[W WhQ H J H MeJJUP[]fcj H Qc[]OaringJBjN H QR[]O [SX H MeJiexclNPb H QUPJbn[]O H []jehcentmbn[]ZOslashK-j H QcO[ H MJIacute^QEgraveJLhZJUO HH JLhlZaringYiexcl[SX_a j^J H NPQcfcYiexcl[SX H MeJIacutebn[]ZaringKj H N H QR[]O bLNPOcentEgraveJgXiacute[]jO^QsOaNiKKEgraveJUO^QVk X5^gtMJaumlJUP[]fcj H QR[]O`JBjN H QR[]O[SX H MJIacuteNPb H QVUPJaeligbn[]O H []jhQcY H MJgX[]fsfR[WQsO[aringaelig Yacuteaagravejaelig agrave aacute8gaq^eJ H atimesOslashjj 8ordfaq^eJ H a UgraveUcircUacuteUuml jj`b admacr s jlt8Icircraquodaq^eJ H a times Oslash jgt= ccedil A B egrave aOtilde S timesOslash jaOtilde B5 S BtimesOslash jB^eJ H aDC EBtimesOslash ja fj BGFH amp^eJ H atimesOslashj48 raquo aq^eJ H atimesOslashjj 8Icircraquodaq^eJ H a UgraveUacuteUuml jgt= ccedil I B egrave aOtilde Eacute S UgraveUcircUacuteUuml jaOtilde B S BUgraveUcircUacuteUuml jB^eJ H aDC JBUgraveUacuteUuml ja fj BKFH amp^eJ H a UgraveUcircUacuteUuml j48 raquo aq^eJ H a UgraveUcircUacuteUuml jjcedil13eacuteMJZaringN H hdQkLC JBatilde QsY ^JU^jbnJU^icircXh[]Z H MJeumlbn[U~NihdQcNPObnJbZaringN H hdQkM atilde centm YZjeKeVKhJUYZYZQcO[ H MeJ uuml UumlON hZ[WENPO^ H MeJ I UumlON bn[]fcjFZaringO^MeJeumlfcNPY H Xiacute[]jeh fsQcOeJUY [SX H MeJJBjN H QR[]ONihZJ H MeJOtildeNP^^Q H QR[]ONPf H JLhZaringY(bn[]ZaringQcO[XiacutehZ[]Z H MeJiexclU~NihQsN H QR[]O [SX H MeJOtilde^eJnVYZbnhdQRK H [PhYWiexclQ H Mordmagrave^ Y0Q H MNPYycentEgraveJLJUOOslashKhJUBQR[]jYZfVmTKhZ[UPJU^X[Ph[PhZJmWYZbLNPfRJiexclQCZaringN[PJUYeH MeJUYZJ H JLhlZaringYMNUPJ H [ cent=Jaumlbn[]OYZQc^eJLhZJU^ QsO[Ph^eJLh H [regZ N`PJ H MeJTNPb H QUPJTbn[]O H []jhbn[]OUPJLhY[PJ H [WFNihd^YNZ QcOQZtimesjFZ [SX H MJTbnhQ H JLhQc[]OO^macr^ ^~THORNUgrave2FIgraveFEgrave2Iacute_IgraveFOacuteshyETHOgraveNtildeshyEumlEgraveOIgraveIcircdEumlETHOIcircnot [Ph H MJ JkWKEgraveJLhQZOslashJUO H YeQWNtildeJ H N`PJCntildea]jordmaacute ILK Kaf[]jgWMQsbMsup1[]QVUPJUYnntilde raquo aOgravejaacutefdOafWOgravej(NPO^8ordfaOgravejaacute ILK KafIcirch cent juWMQcbdMt[]QVUPJUY8 raquo aOgravejaacute ETHOafIcirch cent j^ JbdMe[[]YZJ bbaacute f s ^QMeJaringbn[]fR[PhtimesYKNPbnJ YJUfcJUb H JU^QcYaQPszlig l szligicirclaquojeltWMeJLhZJwaOtilde aacuteRPordmjhZJLKhZJUYJUO H Y H MeJfsjFZaringQcONPObnJNPO^waOtildeOgravecent5aacute l j$NPO^frac34aOtildeS aacuteOslashicircj$hZJLKhZJUYJUO HyH MeJ H WF[bdMehZ[]ZaringQcONPObnJUY^ not [Ph H MeJbn[]ZaringKj H N H QR[]OOslash[SX H MeJuUiNihQcNPObnJSei[]Ofm H MeJfcjZaringQcONPObnJQcY(jYJU^O^

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CB5Oaring[Phd^eJLh H [aeligYJ[]ZOslashJUO H NPO Me[]ZOslash[S[PJUOJL[]jY0hJ[]QR[]OOeOgraveWFJiexclY H Nih H WQ H M NPO QcOQ H QcNPf

bLjehlUPJ0QcOYZQs^eJ H MJ0hZJ[]QR[]Oauml[SXWQsO H JLhZJUY H ^MeJybLjhYUPJ0QcY H MJUOTYZjeKK=[]YZJU^ H [JkWKNPO^jO H Qcf(Q H hJUNPbMeJUY H MeJ centEgrave[]jO^NihlmOacute[SX H MeJabn[]ObnJLhdOeJU^ Me[]Zaring[S[PJUOeJL[]jYaringhJ[]QR[]OO^MJtimesbLjehlUPJtimes^e[BJUYUacuteOe[ H [P[cent=JmP[]O^ H MJUYJaeligcent=[]jO^NihQRJUYiexclYZQcObnJSe=[UPJLh H MeJLhZJSe H MeJbnhQ H JLhQR[]OOacuteQsObnhZJUNPYJUYtimescentEgraveJUbLNPjYJ H MeJU~NihdQcNPObnJOcircu centtimesOslash [Ph H MeJ bn[U~NihdQcNPObnJtZaringN H hQVk^eJ H JLhZaringQcONPO H ^eJ H atimesOslashjUcirccentOtildeQsObnhZJUNPYJS^MeJaringNPfV[P[PhQ H MZEcentNPYJU^[]O H MeJ bn[UiNihQcNPObnJZaringN H hQVkeumlQcYaumlK=JLhlX[PhlZaringJU^euml[]ONPOQZ N[PJ [SX H MeJUBQs^eJL[`YJBjeJUObnJrnN`WQVmP[]peumlQcO[Ph^JLh H [euml^eJ H JUb HaeligH MeJYKEgraveJUN`PJLhUTYXqNPbnJS^gtMJaumlJUP[]fcj H QR[]O[SX H MJIacutebLjehYUPJIacuteQcYu[]QVUPJUO QcO not QV[^ macr^gtMeJTbn[]O H []jehiexclJUP[]fUPJUYH [ONPfcfVmbn[]OUPJLhY[PJaelig[]O H MeJIacutecent=[]jO^NihQRJUY[SX H MJyXqNPbnJa not QV[^ macr^bj^OMeJyXiacuteNPbnJaeligQcYH MeJUONPbLbLjehdN H JUfVm YZJ[]ZOslashJUO H JU^^FMeJUacuteNSZOslashKfcQ H j^eJ[SX H MeJiexclUPJUfR[BbLQ H m QsYFNPfsY[laquo[]QVUPJUOQcO not QV[aqYj^ macr^ ^OecurrenJSe Xfrac34jNPO^WNtildeJUacutebLNPO [PcentYJLhYUPJ H MN HFH MeJ5XiacuteNPbnJUacutehZJ[]QR[]O QcYUPJLhYmWFJUfcf^eJUfsQZaringQ H JU^regXhZ[]Z H MJ[ H MJLhhZJ[]QR[]OY^MJ5UPJUfc[BbLQ H m[]QUPJUO QcO not QV[aqYj^ macr^ ^OecurrenJSe XQcObLfcj^eJUY H MeJNP^^Q H Qc[]ONPf H JLhlZaringYFbn[]ZaringQcOF[yXiacutehZ[]Z H MeJ5UiNihQcN H QR[]O [SX H MeJiexcl^eJUYbnhQRKeVH [PhY5WQ H Magrave`centj H ^e[BJUYOtildeOe[ H QcObLfcj^eJ H MeJaeligcentEgrave[]jO^NihlmVcentNPYZJU^ H JLhlZ WMQcbMeumlQcYUacuteNYYZaring[[ H MQsO[ H JLhlZ^KMeJtimesNSZOslashKfcQ H j^eJOtilde[SX H MeJyUPJUfc[BbLQ H maQcYiexclOe[PhlZaringNPfcQcurrenLJU^ centEgraveJ H WFJLJUOs NPO^ macrSmacre$YZjbdM H MN HTH MeJ OeJ[]N H QVUPJoU~NPfcjJUYIacuteNihZJ fR[WFJLh H MNPO f i`NPO^ H MeJKEgrave[]YZQ H QUPJ[]OJUYNihZJTMQ[]MeJLh H MNPOpoundf i^ J bLNPObn[]ZaringKNihZJ H MJ QcOQ H QsNPfUPJUfR[BbLQ H m[Pcent H NPQcOJU^jYZQcOF[ H MeJ bn[U~NihQsNPObnJZaringN H hdQk admacr s juWQ H M H MeJOtilde[]OeJOtilde[Pcent H NPQcOeJU^jYQcO[ H MeJordfUiNihQcNPObnJrega2Sj^KMeJordfXqNPbnJTQcYOe[ H WNtildeJUfsf9^eJ H JUb H JU^QcO H MeJUPJUfR[BbLQ H m[Pcent H NPQsOeJU^ajYQcO[ H MeJUiNihQcNPObnJa not Q[^ ^bjWMJLhZJUNPYIacuteQ H QcYIacutehZJUNPfcfmumlWNtildeJUfcfF^eJ H JUb H JU^QsO H MeJQcOQ H QcNPfUPJUfR[WbLQ H m7jYZQcOF[ H MeJbn[iVUiNihQcNPObnJpoundZ N H hQk a not QV[^ ^currencentj^_MeJ UPJUfR[WbLQ H m [Pcent H NPQcOeJU^ jYZQsO[ H MeJumlU~NihdQcNPObnJ^e[BJUYOe[ H NPfsfR[W NPOJltz bLQRJUO H YJ[]ZOslashJUO H N H QR[]O`[SX H MeJyXiacuteNPbnJauml[]O H MeJaumlbn[]O H hNihYm H [H MeJIacutebn[UiNihQcNPObnJlaquoZaringN H hQk^eJ H JLhZaringQcONPO H WMQsbM H N`PJUYUacuteNP^UiNPO H N[PJaelig[SX H MeJtimesbn[]fR[PhQcOFX[PhlZ N H QR[]OO^macr^ ^WVFEumlETH=gtNtildeFETH32EacuteltOacuterETHEacute`0Ntilde=KIgravek8ltIgraveFETHIgrave5=KETH32EacuteltOacute~2Oacute+(8ltIgraveEacute IcircIgrave5euml1IgraveFOacute=KIgraveIcircMJa^eJUYZbnhQcK H [PhYOslashcentNPYZJU^[]O H MJ`bn[UiNihQcNPObnJZaringN H hdQkNihJ`QZOslashK-fRJZOslashJUO H JU^ H [^eJ H JUb H MBjFZaringNPO XqNPbnJUYQcO UWQc^eJL[OacuteYJBjeJUObnJUY^MQsYaring^eJ H JUb H QR[]OegraveZaringNm cent=J`jYJU^Xiacute[PhtUWQc^eJL[ bn[B^QcO[ H [JUObn[W^eJYJUfcJUb H QVUPJUfVm H MeJOacuteMBjFZaringNPOegraveXqNPbnJS^ not [Ph`N []QVUPJUObn[]ZOslashKhZJUYZYZQR[]OOacutehN H QR[e H MeJoXiacuteNPbnJbLNPO7cent=J H hNPOYYZ Q HH JU^bWiexclQ H MN MQV[]MJLhThN H J H [H MeJ^eJ H hdQZOslashJUO H [SX H MeJcentNPbl`[Ph[]jO^O^uMQsY QsO H JLhZJUY H QcO[KhZ[PKEgraveJLh H m QcYUiNPfcjWVNicentfcJuX[PhUBQc^JL[Bbn[]OXiacuteJLhZJUObnJUYe]WMeJLhZJ H MeJ ZOslash[]Y H QZOslashKEgrave[Ph H NPO H NPO^regZOslash[]Y H U~NihdQcNicentfRJQcOFX[PhlZ N H QR[]OQcYfR[WbLN H JU^ []O H MJordfXiacuteNPbnJaq 5ZOslash[]Oe[]j`NPO^tUacutejMNSZaringJUfde sSsSs j^ J QcOQ H QcNPfcQVcurrenLJ H MJhdY H XiacutehNSZOslashJoWQ H M7N`bLQchbLfRJ QsOYZQc^eJ H MeJXqNPbnJ H [ H hNPbY`K^MJUOOeyacuteWFJsup1ZaringN`PJ H MeJNPb H QVUPJ7bn[]O H []jeheumlJUP[]fVUPJjYZQcOF[admacr s jeiexclWQ H MX8ordfaOgravejxaacuteILK KafUgravemiddot cent j^ltMeJregONPfybn[]O H []jehtimes[SX H MeJ bLjehZhJUO H QZaringN[PJ QcY H MeJUOOacutebdMe[]YJUO7NPYNPO QcOQ H QcNPfbLjhYUPJordfX[Ph H MJUacuteOJk H QZaringN[PJS^FMeJOtildeNPfV[P[PhQ H MFZMNPYcentEgraveJLJUOKEgraveJLhYXiacute[PhlZOslashJU^[]OYJUPJLhdNPf$YJjJUObnJUY^MeJaelighZJUYjf H Y5X[Ph H MJaeligYZJjeJUObnJpoundn5JLhQV`p NihJordm[]QVUPJUOQcOnot QV[^ethz^shyMeJaringKNihNSZaringJ H hZJ bMNPYaumlcentEgraveJLJUOYZJ HaumlH [sup1f s ^QMeJordmXqNPbnJ QcYordfWFJUfcfy^J H JUb H JU^NPO^ H hNPbY`PJU^times[]O H MJ|WMe[]fcJyYJjJUObnJS^MJyhZJUYZjf H YOX[Ph H MeJNtildeYZJjeJUObnJnN`WQVmP[]p

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ macrNihZJy[]QVUPJUO`QsO not QV[^ i^ JaeligbMe[B[]YJbaacute s ^ JtimesbLNPO`YJLJ H MN HH MeJXiacuteNPbnJaeligQcYuWFJUfcf^eJ H JUb H JU^aJUPJUOaQVX H MeJaumlbn[]fR[Phiexcl[SXMJLhYZMQRh H QsY(bLfR[]YJ H [ H MJgXiacuteNPbnJIacutebn[]fR[Ph^

YOEAEligMgtIltROgravesup3PshyAtildeT13MKI5O H MQcYKNiKEgraveJLheuWNtildeJKhZ[PKEgrave[]YJN OeJW 0jfRJLhQcNPOAumlZaringQsOQZaringQVcurrenUN H Qc[]OAumlZOslashJ H Me[W^ H [bn[]ZOslashK-j H J H MJUPJUfR[WbLQ H mpoundUPJUb H [Pharing[SXNPONPb H QVUPJ bn[]O H []jeh H MN H JUOYZjehZJUYtimesQ H WQcfcfJUP[]fVUPJ NPYordfXiacuteNPY H NPYOtildeKEgrave[]YZYZQRcentfcJ H [WNih^YIacuteNZaringQcOQCZIacutejFZ [SXN bnhQ H JLhQR[]OeumlQcObLfcj^QcOF[centEgrave[ H MUacutehZJ[]QR[]OeVcentNPYJU^TNPO^OtildecentEgrave[]jO^NihYmVcentNPYJU^ H JLhlZ Y^ q jehgNiKKhZ[]NPbMIacuteQcYcentNPYZJU^Otilde[]OYZMNiK=J[PK H QZaringQVcurrenUN H Qc[]OOslashKhQcObLQRKfRJUY$NPO^ QcYyKEgraveJLhYXiacute[PhlZOslashJU^ QcO H MehZJLJ5ZaringNPQcO Y H JLKYaringf^ltO H hZ[W^jb H QR[]O[SX$NOslash^mWONSZaringQcbLNPfYbMeJZOslashJIacuteQcO H MeJTbnhQ H JLhQR[]OOe ^vF[]ZOslashKj H N H Qc[]Oaelig[SX H MeJ_0jfRJLhdQcNPOaelig^eJLhQVUiN H QVUPJ[SX H MJbnhQ H JLhQR[]OOslashjYZQcO[OtildeYZMNiKEgraveJ

[PK H QZaringQVcurrenUN H Qc[]O H [[]fcYe^vF[]ZOslashKj H N H Qc[]Oa[SX H MeJtimesJUP[]fcj H Qc[]OaJBjN H QR[]O`[SX H MeJaeligNPb H QVUPJtimesbn[]O H []jehiexclXiacutehZ[]ZH MeJT^eJLhQU~N H QVUPJS^

iexcl Ntilde _ cent G NPfcfR[WY H [hJUNP^QcfVm H N`PJNtildeQcO H [NPbLbn[]jO H9H MeJybLNPYJ0[SXBhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H^eJUYbnhQRK H [PhY H MN H NihZJo[]fR[PcentNPfcfVmN HH NPbdMeJU^ H [ H MeJ JUP[]fVUWQcO[ hZJ[]QR[]OYtimesNPO^Y[H MN H UiNihYm^jehQsO[ H MJaumlKhZ[PKN[]N H Qc[]O [SX H MJaumlbLjehYUPJS^ JTYMe[W H MN HH MeJgUiNihQuVN H QR[]O [SX H MeJUYJ^JUYZbnhQRK H [PhdY QsO^jbnJUYNP^^Q H QR[]ONPf H JLhlZaringYQcO H MeJeumlJUP[]fcj H QR[]OJBjN H QR[]Oeuml[SX H MeJaringNPb H QVUPJ bn[]O H []jeh^MJUYJ H JLhlZaringYgZtimesjY H Oe[ H centEgraveJlaquoX[Phl[P[ HH JUOQcO[Ph^JLh H [ hZJUNPbMeumlN H hjeJZ QcOQZtimesjFZ[SX H MeJtimesbnhQ H JLhQc[]OaNPYUacuteQ H MNPYcentEgraveJLJUOKEgrave[]QcO H JU^[]j H QsOJkBKEgraveJLhQZaringJUO H NPfEgravehZJUYjf H Y^

Yfrac34XiacuteNiheumlNPYeumlMe[]ZOslash[S[PJUOeJL[]jYeumlbn[]fR[PheumlhZJ[]Qc[]OY`YZJ[]ZOslashJUO H N H Qc[]OQsY`bn[]ObnJLhdOeJU^OeWFJKhZ[PKEgrave[]YJ H MeJ`bn[U~NihQsNPObnJfrac34ZaringN H hdQk^eJ H JLhlZaringQcONPO H NPY N^eJUYbnhQRK H [Ph^MQcYY H N H QsY H QcbLNPfhZJ[]QR[]OeV4^eJLKEgraveJUO^eJUO H ^JUYZbnhQRK H [PharingNiKK=JUNihdY H [centEgraveJN UPJLhlm7hJUfRJU~NPO HH [B[]fampNPO^eumlY[ Q H MNPYUacutecent=JLJUOeumlYZjbLbnJUYZYXqjfcfVm NiKKfsQRJU^ H [XqNPbnJaring^eJ H JUb H QR[]OQcOfrac34UWQc^eJL[YJBjeJUObnJUY^

iquest acuteraquoacuteLacuteIltR]acuteAtildeagraveIgravefrac14dEcircsup1Atilde5AringiquestLmiddotNtildeIumliquestUumlgIumlUTHORNampAtildeEacutecedilAtilde5AringAcircnAtilde|iquestaacuteIacuteIumlIZEgravefrac14Zcedilfrac12frac14dAringiEcirc]iquestfrac14draquoiEcirc[NtildeIumlagraveAringEacutePAtildecedilwAacute4] uacute_^J^J^ iquest)` igraveraquoLCcedilfrac14cedil4Ecircfrac14draquo~Ecirc(Auml|AringAacuteCcedilfrac14Zcedil4Ecirc

Agrave5AringcedilAcircnAtilde$AtildeAcircnAuml|frac12AringAacutesup1AumldraquoTAringAEligwsup1raquo~ordm(frac12Atilde5AcircnAtilde5frac12AEligwAtildeAacuteampIgrave(Atilde AacuteIcirc~AumlUEcircSaIumligraveraquo13] x4~rv p4PldrRtcoPl|Egraveod5v pv i4vodaumlx4shyl not vsectpqo v tu not Iumlcb$Auml|EacutePAtilde|iquestednfrac14Oumlifrac14draquoIuml

agraveIgrave(Aumldraquo~Auml|Aringiquest~igrave4IumlPfrac14raquoiEcircfWIumliTHORNampAringIcircifrac14Igrave(Atilde5frac12G] divideugrave|ugrave|ugrave iquest` igraveAacuteAtildecedil4frac14ZAacutesup1Acirc|AtildeNtildeEacute~frac14dAgrave4UgraveUCcedilEgravefrac14cedil4EcircUacuteAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoUacuteOgraveregAumldcedilIcirc~sup1Atildecedil4frac14cedilAgrave4Icirc~sup1currenEumlAgravefrac14dfrac12=CcedilEgravefrac14AcircnAtilde5frac12AtildeAacutesup1Igravefrac14ordm|AtildeAgrave5AumlUEcircsup1raquo~ordmIaIumlaeligigraveiacuteraquoS] x4rv p ildrRtcodil|ampod5v pv P4vOtildeodOslashx4shy(l not vFsectpqo v tu not Iumlg frac14raquo~Agrave5AumldAring~AcircnAtildecediliquestehEgravefrac14raquoifrac14|Ecircfrac14Iuml

agraveAringEacutePAtildecedilwAacuteiquest[NtildeIumlWfrac14raquoiEcircifWIuml13b$Aumldcedilraquo~OumlcedilAuml|EacuteAEligqAacute4] divideugrave|ugraveuacute iquestkj ldrregv shy(ldrRtcl|ipwonm5v shyNtildetuOslashtushyl not vampipwo4v tu not sect9ldp4rRtcl|Egravedt lv pv ~rRtRl|9vDm~lrRtcod~ldiTrreg~vUacutel| Uiexcloqnldp4tcldrRtRod~ iquestpoAumlIuml uacute_qEr IumlOslashagrave9Ouml~Oumlfrac12sup1AtildeEcircaacuteUacutefrac14AacuteIcirc~AtildeIgravefrac14Aacutesup1Agravefrac14dfrac12BatildeAgravesup1Atilderaquo~Agrave5Atilde5AElig5iquestPatildeOumlcedilsup1raquoordm|Atildecedil g Atildecedilfrac12frac14dordmIumlhEgravefrac14dAEligwAtilde5frac12frac12Atilde5AElig5iquest g Iumliquest~szlig0Iumleb$sup1Igrave(Igrave(Atilde5frac12Riquestifrac14raquoiEcirc[NtildeIumlatildefrac14dOumlsup1cedilAumlI] uacute_^J^Er iquest`s[Atilde5AumlUEcircAtilde5AEligwsup1AgraveFfrac14dAgraveAacutesup1AcircnAtildeyAgrave5AumldraquoUAacuteAumldAringcedilAElig_aIuml x4~rv p4PldrRtcodPldpoundUodUp4Pl|WoqodshyiUrv paumlumltutcodutet13v uacute+w iquestex uacuteyIrz^ Iuml

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CBh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34LiquestBagraveyIumlWfrac14raquoiEcircidIumlBTHORNampAringraquo~Agravefrac14raquo13] uacute4^z^J^ iquest`[ampfrac14Igrave(AtildeEumlcAacuteIcirc~Atilde5AumlcedilAtildeAacutesup1Agrave(sup1raquoUAacuteAtildeordmdcedil4frac14Aacutesup1AumldraquoaeligOgraveuAumldcedil0sup1Igravefrac14dordmdAtildeAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIuml xQ|||~pwl~ lnrRtcodNtildeodiexclsect9lrRrv p auml9Pl| ~tuyldi j l|4Utu]vx4~rvreg t not v P4v Iumlh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34Liquestgagrave0IumliquestIumlgatildeUAacute4frac14dsup1Eacuteiquest9frac14draquoiEcircdIuml9THORNampAringraquo~Agravefrac14raquo13] uacute_^J^ xiquest` THORNampAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeIacuteEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34iraquo~Ecircsup1raquo~ordmsup1raquoIgrave(AtildeEcircsup1Agravefrac14frac12iexclsup1Igravefrac14ordm|Atilde5AEligaringEacuteLfrac34Oacutesup1raquoLAacuteAtilde5ordmcedil4frac14Aacutesup1raquo~ordm ordmdcedil4frac14|Ecircsup1Atilde5raquoLAacute frac14raquoiEcirccedilAtilde5ordm|sup1Auml|raquo sup1raquoOgraveuAumldcedilIgravefrac14ZAacutesup1Auml|raquo13aIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu notI iquesteE ^4y rdugrave Iumlh=Icircifrac14raquoiquestBETHIumlWfrac14raquoiEcircIuml g Atilde5AEligwAtildeJ] dividedugravedugraveuacute iquest` agraveAgraveAacutesup1AcircnAtildeFAgrave5Auml|raquoLAacuteAuml|AringcedilAElig$Ccedilgsup1AacuteIcircAuml|AringAacuteNtildeAtilde5Ecircordm|AtildeAElig_aIuml xQ||k|~pwld lnrRtcododUacutex4shy(l not v9sectpqo4v 4tu notuU v divideJw iquest divide xJx ydividezrJr Iumlh=Icirc~Atilde5AEligwraquo~frac14dAring~EcirciquesthIumliquestfWIuml=szligAtildeOgraveYacutecedilIAtilde5ordm|sup1Atildecediliquestfrac14draquoiEcirc g Iuml5Z=AumldAring~frac12AtildeAacute4] uacute_^J^z^ iquest`currenatildeUAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12cedilAtilde5ordmdsup1AumldraquoAEligwraquoifrac14dUgrave|AtildeEumlsEacuteifrac14dAEligwAtilde5EcircAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquofrac14|Ecircfrac14dOumlAacuteAtilde5EcircFAacuteAumlyEcircsup1s]AtildecedilAtilde5raquoLAacute-Ouml~IcircLfrac34AEligwsup1Agrave5frac14dfrac12~raquoAuml|sup1AEligwAtilde9Igrave(AumlUEcircAtilde5frac12AElig_aIuml xQ||k|~pqld~ lnrRtco~$osect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4vt iquest uacute|uacute_q y~uacute|uacute xIumlh=Auml|IcircAtilde5raquoiquestIuml] uacute4^z^uacute iquest`currenmiddotraquofrac14dAgrave Aacutesup1Acirc|Atilde Agrave5AumldraquoLAacuteAuml|AringcedilIacuteIgrave(AumlUEcircAtildefrac12AEligtimesfrac14draquo~EcirceumlEacuteifrac14dfrac12frac12AumlLAuml|raquoAElig_aIuml odshyiUrv pumltutcod pwl Utc0ldix4shyl not vsectEgravepwo4v tu not x4shyl not vOtildePnv p rsldidtu not) iquest divideUuacuteduacuteydivideLuacute UIumlh=Auml|IcircAtilde5raquoiquestSIumliquestUumlIuml13ZEgravefrac14cedil4Ecircsup1raquo~AtildeAacuteiquestfrac14raquoiEcircoNtildeIumlagrave9frac34Lfrac14dAgrave4Icirc~AtildeJ] uacute_^J^z iquest`atildeUAringcedilwOgraveufrac14dAgrave5Atilde0cedilAtilde5Agrave5Auml|raquoAEligqAacutewcedilAring~AgraveAacutesup1AumldraquotimesAring~AEligwsup1raquoordmfrac14AgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilaumlIgrave(AumlUEcircAtilde5frac12AElig_aIuml igraveiacuteraquoS] Lsect=xQ|od5v pv P4v od vwodshy(v rRp tc j v rregodtimestuodshyiUrv pumltutco Iuml~atildefrac14raquoUacuteTHORNampsup1Atilde5ordm|AumliquesthEgraveagraveyIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquestEgraveUumlIuml] dividedugrave|ugravedugrave iquest`currenatildeAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquo Ouml~frac14cedilAgrave5Auml|raquoLAacuteAuml|AringcedilAEligUacutefrac14AgraveAacutesup1currenOgraveuAEligUacuteAtilde5raquosup1Igravefrac14dordmdAtildecedilsup1AtildeIacuteIgraveAtilde5Ecircsup1Agravefrac14dfrac12AtildeIacuteEcircfrac34UEumlraquoifrac14dIgrave(sup1ecircLAring~Atilde]ampfrac14Ouml~Ouml~frac12sup1Agravefrac14ZAacutesup1AumldraquoAtilde5raquoeumlAgravefrac14Zcedil4Ecircsup1Auml|frac12Auml|ordmdsup1Atilde raquoUAring~Agravefrac12Atilde5frac14dsup1currencedilAtildeJaIumlfIcircIuml THORNFIumlAacuteIcirc~Atilde5AEligwsup1AElig5iquestraquo~sup1AcircnAtildecedilAEligwsup1currenAacutefrac34`AumlOgraveosup1Agrave5AtildeEumliacuteatildeAumldOuml~Icircsup1Yacutefrac14NtildeagraveraquoLAacutesup1OumlPAuml|frac12sup1AElig5iquestPeacutecedil4frac14raquo~Agrave5AtildedIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquest|UumlIumliquestUaacuteIacuteIumlEZEgravefrac14cedilfrac12frac14dAring~Ecirciquest[NtildeIumlLagraveAringEacutePAtildecedilwAacuteiquest|frac14draquoiEcirc dIumlnTHORN$frac14ZcedilAgrave5Auml|AringcedilwAacute4] divideugrave|ugraveUuacute iqueste`currenatildeOuml~frac14dAgrave5AtildeEgraveAacutesup1Igrave(AtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14EumlAacutesup1AumldraquoUacuteAring~AEligwsup1raquoordmfrac12Atilde5AcircnAtilde5frac12AEligwAtildeAacutefrac14dAgraveAacutesup1AcircnAtilde$AgraveAuml|raquoLAacuteAuml|AringcedilAEligfrac14Ouml~Ouml~frac12sup1AtildeEcirciexclAacuteAumlFIgraveNtildefrac34LAumlLAgravefrac14Zcedil4Ecircsup1frac14dfrac12ordmnfrac14ZAacuteAtildeEcircOtildeatildeIf-UumlkhEgraveETHaIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu not t v rJw iquest)x qJ+y xJ ^ Iuml

THORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquest13iexclNtildeIumlfrac14draquo~EcircdIumlWaacuteAuml|raquoLAacute4frac14ordm|raquoifrac14ZAacute4] divideugrave|ugraveUuacute iquest` ETHBAumldOumlPAuml|frac12Auml|ordmfrac34Oslashfrac14raquoiEcircIacuteAEligwIcirc~frac14dOumlPAtildeAgraveAuml|raquo~AEligqAacutewcedil4frac14sup1raquoUAacuteAEligyAumldraquotimesOumlifrac14Zcedil4frac14EumlIgrave(AtildeAacutewcedilsup1AgraveOslashfrac14dAgraveAacutesup1AcircnAtildearingAgrave5AumldraquoLAacuteAuml|AringcedilAElig_aIuml odshy~rv pumltutcodldP x4shy(l not vPLv p4rsldPtu notcent) v divideJw iquestuacute_qnugrave4yiuacute4rUuacute Iuml[Auml|Igrave(Atilde5AElig5iquestpounddIumlfrac14draquo~EcircaringmiddotNtildeIumleacuteifrac14Aring~ordm|Atilde cedil4frac14dAElig_] divideugrave|ugrave|ugrave iquestcurren` szlig9Atilde5Agrave5Aumldraquo~Agrave5sup1frac12sup1raquo~ordmIacuteEcircsup1AEligqAacute4frac14draquoAgrave5AtildeOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligfrac14draquo~Ecircaeligfrac12Atilde5AcircnAtilde5frac12EgraveAEligwAtilde AacuteAElig_aIumlpoundUodUp il|WoqUacuteumltul|-odshyNtildeshyFU~tR4lrRtcodTldix4shyl not vampgvipv v rsldrRtcod ) iquest dividedugravez^+ydivideddividez Iuml[cedil4frac145frac34LiquestszligyIumliquestdIumlyen-Auml|Aringraquo~ordmiquestampfrac14raquoiEcircagrave0Iumlampagravesup1currenfrac34LAtildecedil4] dividedugravedugraveuacute iquest `aacutesup1raquosup1IgraveNtildeAring~Igrave Ecircsup1AEligwAgrave cedilsup1Igrave(sup1raquo~frac14Aacutesup1Auml|raquosup1raquoOgraveregAumldcedilIgravefrac14Aacutesup1AumldraquoAgrave5frac12Aring~AEligqAacuteAtildecedilsup1raquo~ordmI]Igrave(AumlUEcircAtilde5frac12sup1raquo~ordmTfrac14raquoiEcircOslashecircLAringifrac14raquoUAacutesup1Ocircfrac14ZAacutesup1Auml|raquoOslashCcedilgsup1currenAacuteIcirc ordm|frac14dAringAEligwAEligIgrave(sup1currenicircAacuteAringcedilAtilde5AElig_aIumlTigraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquest=atildePIumliquest=aacuteIacuteIumlkZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestEgravefrac14raquoiEcirc[NtildeIuml=agrave9Aring~EacutePAtildecedilwAacute4] dividedugrave|ugraveUuacute frac14Uiquest` agrave EumliacuteatildeUAacuteAtilde5Ouml frac14dfrac12ordm|Aumlcedilsup1currenAacuteIcirc~IgraveAring~AEligwsup1raquoordmcedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtilde=Agrave5Auml|raquoLAacuteAuml|AringcedilAEligeOgraveuAumldcedilAcircUsup1EcircAtilde5AumlAuml|EacuteUbrvbarqAtilde5Agrave AacuteAElig=EcircAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoSaIuml~igraveraquo13]psect xw j x4 sect odpDumlqo odUacutex4shy(l not v9Pl| ~tu5op j rRtushyvwdtclNtildex4rv pwlnrRtKndvy]v pntc4v IumliETHWfrac14dIgrave(OumlPAtilde cedilAtilde|iquestieacuteWsup1raquofrac12Yacutefrac14raquoiEcirc]Iumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquestUatilde]IumliquestUaacuteIacuteIumlUZ=frac14cedilfrac12frac14dAring~EcirciquestUfrac14raquoiEcirccopy[NtildeIumlUagrave9Aring~EacutePAtildecedilwAacute4] dividedugravedugraveuacute EacuteiquestA` szlig9Atilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14AgraveAacutesup1AcircnAtildegAgrave5Auml|raquoLAacuteAumldAringcedilAEligOgraveuAumldcedilAcircUsup1YacuteEcircAtilde5AumlaringAuml|EacuteUbrvbarqAtilde5Agrave AacuteOtildeAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo Ccedilgsup1currenAacuteIcircaAgrave5frac14dIgrave(Atildecedil4frac14OslashAgrave5AumldIgrave(OumlPAtilde5raquo~AEligfrac14ZAacutesup1Aumldraquo13aIumligraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquesteatilde]IumliquestWaacuteIacuteIumlZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestefrac14draquo~Ecirc[NtildeIumlBagraveAring~EacutePAtilde cedilwAacute4] divideugrave|ugraveuacute Agrave|iquestk` g sup1EcircAtilde5AumlUacuteAuml|EacuteUbrvbarqAtildeAgraveAacuteFAEligwAtildeordm|Igrave(Atilde5raquoLAacute4frac14Aacutesup1AumldraquoAring~AEligwsup1raquo~ordmIacuteAtilde5Aring~frac12Atildecedilsup1frac14draquo cedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAElig_aIuml igraveiacuteraquoS] x4rv p ildrRtcodil|yodv pwv P4vIacuteoodshyiUrv paumlumltutcod Iuml g frac14draquoAgrave5Auml|AringAcircnAtildecediliquestehEgravefrac14draquo~frac14|Ecirc~frac14UIumlbyfrac14dAEligwAElig5iquesteaacuteIacuteIumliquestWagrave0Iuml Ucirc sup1currenAacuteUgravesup1raquoiquestWfrac14raquoiEcirctimesTHORNFIumlWETHBAtildecedilOcirc5AumldOumlPAuml|Aringfrac12AumldAElig_] uacute4^ JUiquestk`currenatilderaquoifrac14UgravenAtilde5AElig_]WagraveAgraveAacutesup1AcircnAtilde(Agrave5AumldraquoLAacuteAuml|Aringcedil0Igrave(AumlUEcircAtilde5frac12AElig_aIumlx4~rv p4PldrRtcoPl|WpoundUop4PldWoqodshyiUrv pTumltutcod iquest ndivideUuacuteyUzndivide Iuml

aacuteUacutefrac14dfrac12frac12frac14|Ecircsup1ciquest~szlig0IumliquestedIuml]atildeUAtildeAacuteIcirc~sup1frac14raquoiquest~frac14draquoiEcircZIuml g Atilde5IgraveNtildeAringcedilsup1G] uacute4^z^ UiquestS`atildeUIcircifrac14OumlPAtilde$Igrave(AumlUEcircAtilde5frac12sup1raquo~ordm0Ccedilgsup1AacuteIcirciexclOgraveregcedilAuml|raquoLAacuteOumlcedilAumldOumlifrac14dordm|frac14EumlAacutesup1Aumldraquo13]nfrac14ampfrac12AtildeAcircnAtilde5frac12AEligwAtildeAacuteEgravefrac14Ouml~OumlcedilAumlnfrac14dAgrave4Icirc13aIuml xQ|||~pwld lnrRtcodampodsectgldrRrv p 9Pl| ~tu9ldP j ln4Utreg]vx4~rvu t not v i4v Iordf iquest uacute z yiuacute+r UIuml

aacuteUacutefrac14draquoAEligwAuml|Aringcedilsup1Riquestagrave0Iumlfrac14draquo~EcircdIumlb$Auml|raquocedil4frac14|EcircS] uacute_^J^J^ iquestlaquo`currenaacuteAumldAacutesup1AumldraquoAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo`Ccedilgsup1currenAacuteIcirceumlfrac12Atilde5AcircnAtildefrac120AEligwAtilde AacuteAElig_aIuml igraveraquo13]x4~rv p4PldrRtcoPl|=ov pwv P4vNtildeodUacutex4shyl not vsectEgravepwo4v tu not Iumlcb$AumldEacutePAtilde|iquestednfrac14dOuml~frac14draquoIuml

aacuteAuml|raquoLAacute4frac14dordmdraquoifrac14ZAacuteiquestdIumliquestziexcl0IumlTHORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquestdfrac14draquo~EcircoNtildeIumlZagravegfrac34Ufrac14dAgrave4Icirc~AtildeJ] dividedugrave|ugraveUuacute iquest` agraveOslashcedilAtildeAcircsup1AtildeCcedilaeligAumldOgravePEcircAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeAEligwAringcedilwOgraveufrac14dAgrave5AtildeAElig_]AacuteAuml|OumlPAuml|frac12Aumldordmdfrac34Liquestgordm|AtildeAuml|Igrave(AtildeAacutewcedilwfrac34frac14draquoiEcirc EcircAtildeOgraveuAumlcedilIgravefrac14Aacutesup1Auml|raquoSaIuml x4shyl not vtimesldiOacuteumltutcododshy~rRtreg not0Inot v uacute_qw iquestuacuteugravendivide+y~uacuteugravezq|ugrave Iuml

aacuteAring~IgraveOgraveregAumldcedil4Ecirciquest=THORNFIumlgfrac14raquoiEcircdIumlatildeIcirc~frac14dIcircS] uacute4^ ^ iquest`currenmiddotOumlAacutesup1Igravefrac14frac12$frac14dOumlOumlcedilAumlicircsup1Igravefrac14Aacutesup1Auml|raquoAEligEacuteLfrac34Oumlsup1AtildeAgrave5AtildeCcedilgsup1AEligwAtildetimesAEligwIgrave(AumlLAumlAacuteIcircOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligFfrac14raquoiEcircOslashfrac14dAEligwAEligwAumlLAgravesup1Yacutefrac14ZAacuteAtildeEcircaringAcirc|frac14Zcedilsup1Yacutefrac14ZAacutesup1Auml|raquoifrac14frac12EgraveOumlcedilAumldEacute~frac12Atilde5Igrave(AElig_aIuml odshyNtildeshyFU~tR4lrRtcod~oaeligsectEgraveUpvUacuteldiEgraveni tsvw j ldrreg~v shy(lrRtccurrenshyt iquest rzr4y xJ q Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfa

yenKbrvbarsect =4 acirc $ zmiddotAEligwIcirc~AtildecediliquestdatildePIumlfrac14draquo~EcircdIumlnatildeAtilde AacuteIcirc~sup1frac14draquoS] uacute4^ ziquest` eacutecedilAuml|raquoLAacuteAEligeOumlcedilAumldOumlifrac14ordmnfrac14Aacutesup1raquoordmCcedilgsup1currenAacuteIcircFAgrave5AringcedilAcirc|frac14ZAacuteAringcedilAtildeEumlEcircAtilde5OumlPAtilde5raquoiEcircAtilde5raquoLAacuteBAEligwOumlPAtildeAtildeEcircS]

agravefrac12ordm|Aumlcedilsup1AacuteIcircIgrave(AEligEacute~frac14dAEligwAtildeEcircaumlAuml|raquoiexclampfrac14Igrave(sup1frac12AacuteAumldraquoEumldnfrac14Agrave5Auml|Eacutesup1eacute~AumldcedilIgraveNtildeAring~frac12frac14Aacutesup1Auml|raquoSaIuml poundUodUp4Pl|oqiexcloshyiUrsldrRtcoPl|sect=U~tc ordfenot iquest uacutedivide4yEqE^ Iumlfefrac14cedil4frac14ordm|sup1Auml|AElig5iquestoNtildeIumlfrac14draquo~EcircIacuteszligyIuml]THORNampAtildecedilsup1Agrave4Icirc~AtildeJ] uacute4^z^J^ iquest`s[Atilde5AumlUEcircAtildeAEligwsup1Agravefrac14AgraveAacutesup1AcircnAtildeFcedilAtilde5ordmdsup1Auml|raquo~AElig$OgraveregAumldcedil0Igrave(AumldAacutesup1Auml|raquoTAtilde5AEligqAacutesup1Igravefrac14Aacutesup1Aumldraquofrac14draquoiEcircAacutewcedil4frac14dAgrave4UgraveUsup1raquoordmAaIumligraveiacuteraquoS] x4rv p ildrRtcodil|-ov pwv P4vFodOslashodshyiUrv paumlumltutco Iumleh=AumldcedilwOgraveregAringgt[cedilAtilde5Atilde5Agrave5Atilde|Iumlfefrac14AacuteAtilde5Aringicirc]iquestatilde]Iuml] dividedugravedugrave|ugrave iquestpound`currenatildeOuml~frac14Aacutesup1frac14dfrac12AEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoTAumldOgrave=Agrave5Auml|frac12Aumlcedilysup1Igravefrac14ordm|Atilde5AEligampfrac14dAgrave5Agrave5Aumlcedil4Ecircsup1raquo~ordmAacuteAumlUacuteaacuteTHORNaringOgraveregAumldcedilIgravefrac14dfrac12currenEumlsup1AEligwIgraveaIumlyigraveraquo13] x4~rv p4PlrRtcodPld=od5v pv i vodododpFtu pwl4UtcldPx4shyl not vysectpqo v tu not Iumlatildefrac14dsup1raquoLAacute UumleAacutesup1Atilderaquo~raquo~Atildediquestieacutecedil4frac14raquo~Agrave5AtildedIumlfcedilAtildeAgrave5sup1Auml|AEligwAumliquesteacute=IumlEgravefrac14raquoiEcirc aacuteIacuteIumlcurrenZEgravefrac14cedilfrac12frac14dAring~EcircS] dividedugrave|ugraveUuacute iquest` Z-EumliacuteatildeUOuml~frac12sup1raquo~Atildeaumlfrac14dAgrave Aacutesup1Acirc|AtildeOtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAEligOgraveregAumldcedilOgraveRfrac14AEligqAacuteAcircUsup1EcircAtilde5AumltimesAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIumlOacuteigraveraquo13] x4rv p ildrRtcodil|od5v pv P4vaeligod x4shy(l not vUacutesectpqo4v 4tu not IumlETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1Riquest[cedilAtilde5Atilde5Agrave5Atilde|Iuml

szligAumldraquoOgraveufrac14cedil4EcirciquestszligyIuml] uacute_^J^q iquest` szlig9Atilde5ordmdsup1AumldraquoEumlsEacuteifrac14AEligwAtildeEcircFAEligqAacutewcedil4frac14ZAacuteAtilde5ordm|sup1Atilde5AEligeOgraveuAumlcedil-frac14dAgraveAacutesup1AcircnAtildeEgraveAgraveAuml|raquoLAacuteAuml|AringcedilIgrave(AumlUEcircAtilde5frac12AElig_aIuml x4~rv p4PldrRtcoPl|poundUodUp il|WoqodshyiUrv paumlumltutco I v dividezw iquest divideddividez^+yUdivide uacute Iuml

atildefrac14Igrave(AEligwAuml|raquoiquestzhIumliquestzIumlzZ=frac12frac14raquo~AgraveEumleacuteAtildecedil4frac14AringiEcirciquestJ[NtildeIumldagraveAringEacutePAtildecedilwAacuteiquestfrac14draquo~Ecirc dIumlJregPAtildecedilAring~Eacutesup1frac14I] dividedugravedugrave|ugrave iquest` agrave frac12Atilde5Acirc|Atilde5frac12UAEligwAtildeAacuteIgrave(AumlUEcircAtilde5frac12nOgraveregAumldcedilsup1Igravefrac14ordm|AtildeAgrave5frac12frac14dAEligwAEligwsup1siAgravefrac14ZAacutesup1Auml|raquo13aIuml x4~rv p4PlrRtcodPldpoundUodUp4Pl|BoqNtildeodshyiUrv pOtildeumltreg4tRod shy v Ew iquest uacute r4y~uacute4^Er Iuml

atildefrac14raquo~ordmdCcedilgsup1raquoAtilde|iquest9atilde]IumlEgravefrac14draquo~Ecircszlig0IumlampiexclAumldcedilraquoAtilde v Atilde5EcircAElig5Iuml w ] uacute_^J^ Uiquest ~vIacuteo|odUpaumltushyl not vipqo4v 4tu not ldP|m4oo4uml Iumlh=Icircifrac14dOumlIgravefrac14draquodegmacriexclampfrac14dfrac12frac12RIumlatildeAtildeAacuteIcircsup1frac14draquoiquestdIumlplusmn] uacute4^z^|ugrave iquestU` oAringIgrave(Atildecedilsup1Agravefrac14dfrac12Ufrac14frac12ordm|Aumldcedilsup1currenAacuteIcircIgrave(AEligWOgraveuAumldcedilOumlcedilAuml|Oumlifrac14ordmnfrac14ZAacutesup1raquoordmsup1raquoLAacuteAtildecedilwOgraveRfrac14Agrave5Atilde5AElig_]Jiexclampfrac14dIgrave(sup1frac12currenAacuteAuml|raquoEumldnfrac14dAgrave5AumldEacute~sup1

AtildeecircLAringifrac14Aacutesup1Aumldraquo~AElig-frac14draquoiEcircAgraveAuml|raquo~AEligwAtilde cedilAcirc|frac14ZAacutesup1Aumldraquo(frac12frac14CcedilgAElig_aIuml poundUodUp4Pl|]oqEgraveyen$t lv pv rRtcl| voshyv rRp~ iquest uacute4Uuacutey~uacute x uacute IumlatildeAtildeAacuteIcircsup1frac14draquoiquestAdIuml] uacute4^J^ xiquest kWvndvB]v r j v rregod IumlcurrenhEgravefrac14dIgraveNtildeEacutecedilsup1EcircordmdAtilderaquosup1AcircPIumlAfecedilAtilde5AEligwAElig5Iumlatildesup1Ecirc~Ecircsup1ecircUsup1Riquest4bIumliquest_yenNtildeIumlBfrac14Aring~Ocirc5sup1Gsup2AtildecedilAtilde|iquestagraveyIumlETHWfrac14draquoraquo~Atilde5raquoUEacute~frac14dAring~IgraveUacuteiquest5frac14draquo~EcircNtildeatildePIumlregPAring~Agrave4UgravenAtildecedil4] uacute_^J^ xUiquestE`currenagravegcedilAtildefrac149frac14draquoiEcirc$frac12Atilde5raquoordmdAacuteIcircyIgrave(sup1raquoEuml

sup1Igrave(sup1Ocirc5sup1raquoordm sup3iAumlCcedilgAEliggOgraveuAumldcedilAEligwIcircifrac14OumlPAtildeyAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo13aIuml xQ|||~pwl~ lnrRtcodoOtildex4shyl not vsectEgravepwo4v tu notordf v Ew iquest qEz+yqzqE Iumlyen=AtildeOcirc5Ocirc5sup1RiquestagraveyIumliquest5agrave0Iuml5ETHEgraveAEligfrac14dsup1Riquestfrac14draquo~Ecirc$agrave0Iuml Ucirc sup1frac12frac12AEligwUgraveLfrac34] uacute4^z^J^ iquestJ` agraveaeligAEligqAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12Ufrac14dOumlOumlcedilAumlnfrac14Agrave IcircampAacuteAumlgAEligwraquo~frac14dUgravenAtilde5AElig]OgraveuAumlcedilWEacutesup1Igrave(AumlUEcircfrac14dfrac12frac14draquoiEcircAacutewcedilsup1Igrave(AumlUEcirc~frac14frac12isup1Igravefrac14dordmdAtildecedilwfrac34aIumligraveraquo13] x4rv p ildrRtcodil|eodv pwv P4vyodx4shyl not vgsectpqo v tu not IumlAb$AumldEacutePAtildednfrac14dOuml~frac14draquoIumlreg]IcircUAringiquest]atilde]Iumlfrac14raquoiEcircaumlagrave0Iumleyen=Aringsup1frac12frac12AtildeJ] uacute_^J^ xUiquestpound` szlig9Atilde5ordmdsup1AumldraquotimesAgrave5AumldIgrave(OumlPAtildeAacutesup1currenAacutesup1Auml|raquo13]iAring~raquo~sup1currenOgraveYacutefrac34sup1raquoordmiexclAEligwraquo~frac14dUgravenAtilde5AElig5iquestPcedilAtildeordm|sup1Auml|raquoTordmdcedilAumlCcedilgsup1raquo~ordmiquestfrac14draquoiEcircZEgravefrac145frac34LAtilde5AEligacute|aacuteTHORNOgraveregAumldcedilIgraveFAring~frac12currenAacutesup1Eacuteifrac14raquoiEcirc sup1Igravefrac14ordm|AtildeTAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo13aIuml xQ|||micro~pwld lnrRtcodtimesosect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4v Icent iquesteJ q+yU^dugrave|ugrave Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfo

i $amp)(+-)013021+345627893lt=gt9A6CBfrac12OcircacuteIshyNT

frac12OcircacuteIltNTpara frac12frac34EMeJaumlQcYZYZjJUacuteQsY H [ ^QEgraveJLhZJUO H QcN H J H MeJordfXiacute[]fcfR[WQcO[Oslash^e[]ZaringNPQsOXiacutejOb H QR[]ONPfdaringocirc|adOuml times jOcircaacute uuml times a2atildeltszligaumlgtszliglOuml times j atilde auml

G QsObnJ H MJeumlYZJ H [SXIacuteNPfcfUacute^e[]ZaringNPQsOYMNPY Oe[ H N Y H hjb H jhZJ`[SXUPJUb H [PhQcNPfOtildeYZKNPbnJSefRJ H jYZ N`PJ H MeJeumlhZJ[]QR[]OYJUP[]fVUPJ H MehZ[]j[]M NrXqNSZaringQcfVm [SX H hNPOYYX[PhlZ N H QR[]OYa(|aagraveszlig jj emiddot iacuteaumlYlZOslash[[ H MaNPO^ centQ ~JUb H QVUPJS^ not [PhNOslashKEgrave[]QcO H $ aacute atildeshyszligaumlN eFWFJTOe[ H JSaring$ aagravej|aacutemiddot|aagraveszlig $ j WiexclQ H M |a s szlig $ jaacute $OumlcopytimesaagravejOcircaacutemiddot|aagraveszliglOumlutimesdj WiexclQ H M |a s szliglOumlcopytimesAjOcircaacuteAumlOumlutimes9J H jY H MeJUO^JOeJ H MeJordfUPJUfR[WbLQ H moUPJUb H [PhdY JUfs^kfrac12 YZjbM H MN H aringfrac12sup1aagraveszlig $ aagravejj|aacute aelig |aelig agrave aagraveszlig $ j YlaquoXiacuteNiharingNPY H MeJ bn[]ZOslashKj H N H QR[]O[SX H MeJ ^eJLhQU~N H QVUPJ QcYOslashbn[]ObnJLhOeJU^OeWFJNihZJQcOWVH JLhZJUY H JU^ QcO YYZaringNPfcfOtilde^JX[PhlZ N H QR[]OY^ J H MBjYJkWKNPO^ H MeJ H hNPOYX[PhZaringN H QR[]ONPbLbn[Ph^QcO[ H [hdY H [Ph^eJLh NmWfR[PhyacuteXiacute[PhlZtimesjfcNaring|aagraveszlig $ jpoundaacuteAElig|a s szlig $ j agrave aelig |aelig agrave a s szlig $ jaacute $ ragrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacute frac14 frac14 a s szlig $ j^ J H MeJUOQcO H hZ[W^jbnJ H MehZJLJgZ NPQcO^eJOQ H QR[]OYaringf^QMeJg0jfRJLhQcNPO^eJLhQU~N H QVUPJOtilde[SXocirc|adOuml times jordfaqQcO H MeJIacute^QRhZJUb H QR[]O[SXcedilfrac12jaring ocirc|adOumlcopytimesszlig_frac12jOcircaacutefcQZUcedil iacute ocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave admacrfj ^QMeJgZaringN H JLhQsNPfg^eJLhQVUiN H QVUPJOtilde[SXuumlStimesYa $ szliglOumlcopytimes)jaringsup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j|aacutefcQZUcedil iacute uumlStimesa $ ragrave3frac12ba $ jszliglOumlutimes agrave3frac12sup1a $ jj uuml]timesa $ szliglOumlcopytimesdjagrave admacr j^QMeJaumlYZMNiKEgraveJOtilde^eJLhQU~N H QVUPJOtilde[SXOcircuuml]timesa $ szliglOumlutimes)jaring

uumlnotraquotimes a $ szliglOumlcopytimesUcircszlig_frac12 jaacutefcQZUcedil iacute uumlStimesYa $ szliglOumlutimesragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave admacrS]j

uumlnyacutenthornnyumll13YSordmY_Fordfy

yenKbrvbarsect =4 acirc $ hq centUWQR[]jYZfVmSe-centmaJkBKNPO^QcO[ admacr jUacuteNPbLbn[Ph^QcOF[ H [hdY H [Phd^eJLhordfNmBfR[PhordfXiacute[PhlZtimesjfcNeWFJaumlMNUPJSaring sup1uumlStimesYa $ szliglOumlcopytimesUcircszlig_frac12 jaacuteAumluumlnotraquotimes a $ szliglOumlcopytimesszlig_frac12jhuumlStimesa $ szliglOumlcopytimes)j frac12sup1a $ j admacrj J H MeJUOabn[]ZOslashK-j H JZOslash[PhJaumlKhZJUbLQcYZJUfVm H MJ0jfRJLhQcNPO ^eJLhdQVU~N H QUPJauml[SXcopyocirc|adOumlcopytimesdj^ JMNUPJSaringocircOcircadOumlutimesaagravejj ocircOcircadOumlutimes)jagrave aacute fagrave = thorn yuml uuml times a $ aagravejszliglOuml times aagravejj $ uuml times a $ szliglOuml times j $ FH admacrSmacr]j5O H MJohY H QcO H J[PhdNPfdeltWFJZaringN`PJ H MeJU~NihdQcNicentfRJ bMNPO[PJ $ aagravejaacute $ agrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacuteethicirc7a2atildeshyszligaumlFjszligicirc cent a2atildeltszligaumlj eWMQcbdM[]QVUPJUYaring thorn yuml uuml]timesYa $ aagravejszliglOumlcopytimesYaagravejj $ aacute admacrS]j

5 uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlutimes agrave3frac12sup1a $ jjlt^eJ H ocirc a $ jlt $WMJLhZJocirc a $ jQcY H MeJgXiacute[]fcfR[WQcO[aringSNPbn[PcentQcNPOtZaringN H hdQkKaring

ocirc a $ jaacute oacute fcedilxagrave frac14 iacute oslashfrac14Uordm agrave frac14 iacute oslashfrac14 ugraveagrave frac14 iacute acircfrac14ordm fcedil agrave frac14 iacute acircfrac14 ugrave ocircNPO^ YZ[eFWNtildeJIacuteMNUPJSaring

^eJ H ocirc a $ jOcircaacute fUragravee^QVUKafrac34frac12sup1a $ jjragrave cent ^eJ H amacr frac12sup1a $ jjMJUOWNtildeJauml[Pcent H NPQcOOaring

fsQZcedil iacute ^eJ H ocirc a $ j fagrave aacute ^QVUKafrac34frac12sup1a $ jj admacr]zSjMJJBjN H QR[]OxadmacrSmacr]j H MeJUOcent=JUbn[]ZaringJUYaringocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave aacute fagrave middot uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jjlt 13raquo ocirc a $ jlt $ uumlStimesa $ szliglOumlcopytimesAj $ admacrSi]j JTbLNPO`YZjeKKEgrave[]YJ H MN H ^eJ H aocirc a $ jjfrac14aacute sfrac12 agrave frac12 $ ^ JZaringNm H MeJUO H N`PJ^eJ H aocirc a $ jjfrac34 s eNPO^ WNtildeJ ^eJUPJUfR[PK H MeJaJkWKhZJUYYZQR[]OadmacrSi]j NPYoX[]fsfR[WQsO[centmNP^^QcO[aringN H JLhZ QcO H MeJIacuteYZJUbn[]O^aQcO H J[PhNPfltWMQcfcJaumlYZjeKKhJUYZYZQcO[ H MeJtimesYZNSZOslashJ H JLhlZQcO H MJordfhY H QcO H J[PhNPfdaring ocirc|adOumlcopytimesYaagravejj ocirc|adOumlcopytimes)jagrave aacuteegraveOtildef1rOtilde cent admacrSh]j

uumlnyacutenthornnyumll13YSordmY_Fordf

s $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJSaring

Otilde aacute uuml]timesa $ ragrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave ^eJ H aocirc a $ jj $ ad s jOtilde cent aacute uuml]timesa $ szliglOumlcopytimesdj ^eJ H aocirc a $ jj fagrave $ adfj

9J H jY_ZaringN`PJordmagrave H JUO^ H [WNih^Y s ^curreniquestYZQcO[frac34admacrjiexclNPO^JOQ H Qc[]OYadmacr e macrS]jeWFJ[PJ H aringfcQZUcedil iacute Otilde aacute sup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j $

aacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ uuml times a $ szliglOuml times j frac12sup1a $ j $fcQZUcedil iacute Otilde cent aacute uuml]timesa $ szliglOumlcopytimesdj^QVUKafrac34frac12 j $

O^ Y[Xiacute[Ph H MeJgNtildejfRJLhQsNPO ^eJLhQVUiN H QVUPJSeWFJgO^Oaring ocirc|adOuml times szlig_frac12jumlaacuteyacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ amacrreguumlStimesYa $ szliglOumlcopytimes)j frac12sup1a $ j7 uuml]timesYa $ szliglOumlcopytimes)j^QVUKafrac34frac12sup1a $ jjj $aacute uumlnotraquotimes a $ szliglOuml times szlig_frac12j $ ^QVUKaduuml times frac12j $ ad j

MeJUO NiKKfVmWQcO[ H MJ hJLJUOWVAQRJZ NPOO H MeJL[PhZJZQcO ad jeWNtildeJ5ONPfcfmtimes[Pcent H NPQcOOaring ocirc|adOumlcopytimesszlig_frac12jOcircaacute uuml raquotimes a $ szliglOumlcopytimesUcircszlig_frac12j $ uacutefrac14 5 uuml]timesYafrac34frac12 eacuteAgraveiquestsup1AacuteAtildeAcircj THORN adS]jWMJLhZJ5eacuteAgraveiquestsup1AacuteAtildeAcircyQcY H MeJUacutejOQ H QcOOgraveWNih^ Oe[PhlZaringNPf H [ aelig OumlcopytimesUcirc^MeJ_NtildejfRJLhQcNPO ^eJLhQVUiN H QVUPJQcY(O[ H JU^ ocirc raquo aagravej(QcO H MeJaumlKNiKEgraveJLhNPO^ H MeJaumlYZMNiKEgraveJauml^eJLhQU~N H QVUPJyuuml raquotimes QcY(Oe[ H JU^ frac14 frac14 ^iquest acutemicrosup1cedilFLft not [PhyYQZOslashKfcQsbLQ H mSeWNtildeJ(bM[[]YJ H MeJcopyXiacute[]fcfR[WQcO[_U~NihQsN H QR[]OaeligQcO H MeJKhZ[B[SXaring$ aagravejaacute $ agrave3frac12sup1a $ j^MJiexclKh[[SXZaringNm NPfcYZ[IacutecentEgraveJiexcl^JUPJUfR[PKEgraveJU^WiexclQ H MZaring[PhZJ_[PJUOJLhNPfUiNihQcN H QR[]OYFYjbM NPYaring $ aagravejaacuteAacuteAgravea $ szligYagravejWQ H MAcircAgrave`NOslashYYZOslash[B[ H MXiacutejOb H QR[]ONPO^AcircAgravea szligYagravejcentQ ~5JUb H QVUPJS^

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ ffrac12OcircacuteIshyNT AcircE J(MNUPJ H [Otildebn[]ZOslashK-j H J H MJNtilde^QEgraveJLhZJUO HH JLhZaringY9[SXQa macr]j9QsOauml[Ph^eJLh H [Uacute[Pcent H NPQcO H MeJ

JUP[]fcj H QR[]OJBjN H QR[]O[SX H MeJ NPb H QUPJ bn[]O H []jehX[Ph H MeJ ^JUYZbnhQRK H [PhdYaumlcentNPYJU^Oacute[]OH MeJ(bn[U~NihQsNPObnJ ZaringN H hQVktimes^eJ H JLhlZ QcONPO H a2Ograveh]j^OgraveMeJ(bn[]ZOslashKj H N H QR[]OaringQcYampKEgraveJLhYXiacute[PhlZOslashJU^Xiacute[Ph H MeJIacute^eJUYZbnhQRK H [Ph_uuml thorn timesOslash yuml ^ q centUWQR[]jYZfmSeN YZQZ QcfcNihbn[]ZOslashKj H N H QR[]OabLNPOacent=JIacute^e[]OeJXiacute[PhOcircuuml thorn UgraveUcircUacuteUuml yuml ^ JiexclbLNPOaeligJkBKhJUYZYOcircuuml thorn timesOslash yuml NPYyNUacutebn[]ZTcent-QcON H QR[]Oaelig[SXgtXiacutejOb H QR[]OYamp^eJLKEgraveJUO^QcOF[[]O H MJOtildehZJ[]QR[]OwOuml timesOslash aring

uumlgtthorn times Oslash yuml a2atildeltszligaumlgtszligYagravejaacute`Ograveoacute m thorn timesOslash yumlaIgraveagrave thorn timesOslash yumlAtilde j cent ocirc adjWMJLhZJordmaacuteAuml85eWiexclQ H MAring8 H MeJordfXqjOb H Qc[]O QcO H h[B^jbnJU^ QcOpounda2Ograveh]je-NPO^aringm thorn timesOslash yuml aacute agrave thorn timesOslash yuml agrave thorn timesOslash yumlcent agrave thorn timesOslash yuml agrave thorn timesOslash yumlAElig agrave thorn times Oslash yumlCcedil agrave thorn timesOslash yumlEgrave agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlEgrave j cent agrave thorn times Oslash yumlcent aIgraveagrave thorn timesOslash yumlCcedil j cent agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlAElig j centWQ H MOaring EFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFH

agrave thorn timesOslash yuml aacute w$ thorn yuml aOtilde S times Oslash j cent atilde aumlagrave thorn timesOslash yumlcent aacute w$ thorn yuml aOtildeOgravecent Scenttimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yuml aacute w$ thorn yuml aOtildeS Stimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yumlAElig aacute w$ thorn yuml aOtilde S times Oslash jaOtildeOgravecent ScenttimesOslash j atilde aumlagrave thorn timesOslash yumlCcedil aacute w$ thorn yuml aOtilde S times Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlEgrave aacute w$ thorn yuml aOtilde cent S centtimes Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlAtilde aacute w$ thorn yuml atilde auml O^ Y[ H MJordfXiacutejOb H QR[]OY aelig thorn timesOslash yumlauml MNUPJ H MeJgXiacute[]fcfR[WiexclQcO[aeligJkBKhZJUYZYZQR[]OYaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

aelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlcent aacute aOtilde cent S centtimesOslash j centaelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlAElig aacute aOtilde S timesOslash jaOtilde cent S centtimesOslash jaelig thorn times Oslash yumlCcedil aacute aOtilde S timesOslash jaOtilde S timesOslash jaelig thorn times Oslash yumlEgrave aacute aOtildeOgravecent ScenttimesOslash jaOtilde13 StimesOslash jaelig thorn times Oslash yumlAtilde aacutemiddotf

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBnot h[]Z H MeJUYJaumlJkWKhZJUYYZQR[]OYeWFJOtildeJUNPYZQcfm ^eJU^jbnJ H MN H aring

$ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde aumlregaacute sEacutefrac12poundEcirc iuml

J H MeJUO MNUPJ H [Tbn[]ZaringKj H J H MeJ H JLhlZaringY eacute thorn times Oslash yumlauml XiacutehZ[]Z H MeJJkWKhZJUYZYQR[]OYamp[SXagrave thorn timesOslash yumlauml eWMQcbM fRJUNP^Y H [aringEFFFFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFFFFH

eacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideoslash aacute w$ thorn yuml uacute ouml $ordfdivideacirc uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIgrave yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H a timesOslash jjeacute thorn timesOslash yumlcent aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideacirc

aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIcirc yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideEuml aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideacirc thorn thorn uacute ouml $_divideIuml yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yumlAElig aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIuml aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideEuml uacute ouml $ordfdivideIuml thorn uacute ouml $_divideIcirc uacute ouml $ordfdivideIgrave yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlCcedil aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIcirc aacute w$ thorn yuml cent thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideacirc uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlEgrave aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIgrave aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideoslash uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlAtilde aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIacute aacute w$ thorn yuml thorn +ETH ouml $_dividethorn uacute ouml $ordfdivideIacute yuml Iuml 8 raquo aq^J H a timesOslash jj

O^centmJkWKhZJUYZYZQsO[ H MeJbn[UiNihQcNPObnJZaringN H hQVkpoundWQ H M H MJregXqjOb H QR[]OYagrave thorn timesOslash yumlauml NPYXiacute[]fcfR[WQcO[aring

timesOslashlaquoaacute 1NtildeNtildeNtildeNtildeNtildeNtilde3uacute ouml $ordfdivideoslashuacute ouml $ordfdivideIacute uacute ouml $_divideIumluacute ouml $_divideIacute uacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIumluacute ouml $ordfdivideIacute uacute ouml $_divideacircuacute ouml $_divideIacute uacute ouml $ordfdivideIgraveuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacute uacute ouml $_divideIgraveuacute ouml $_divideIacute uacute ouml $ordfdivideEumluacute ouml $ordfdivideIacute

6OgraveOgraveOgraveOgraveOgraveOgrave7 J H MJUO^eJU^jbnJSaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

eacute thorn times Oslash yuml aacute a fj thorn yuml ^eJ H aDC Ptimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlcent aacute a fj thorn centcent yuml ^eJ H aDC centcenttimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yuml aacute a fj thorn curren yuml ^eJ H aDC 4times Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlAElig aacute a fj thorn cent yuml ^eJ H aDC centtimes Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlCcedil aacute a fj thorn curren yuml ^eJ H aDC times Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlEgrave aacute a fj thorn centcurren yuml ^eJ H aDCcent4times Oslash j48 raquo aq^eJ H a timesOslash jjeacute thorn times Oslash yumlAtilde aacute amp^eJ H a timesOslash j48 raquo aq^eJ H a timesOslash jj

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ SWMJLhZJC EBtimesOslash QcY H MeJgZaringN H hdQk ^eJU^jbnJU^Xh[]ZOacutetimesOslasharingcentm YZjeKKhZJUYZYZQcOF[ H MeJyuuml UumlON hZ[WNPO^ H MJ I UumlON bn[]fcjFZaringOO^]MeJbn[]ZOslashKj H N H Qc[]OordmX[Ph H MeJ^eJUYZbnhdQRK H [Ph|uuml thorn UgraveUcircUacuteUuml yuml QcYyYQZaringQcfcNihNPO^WFJ H MeJUOOslashMNUPJNPfcf H MeJ(JkWKhZJUYZYZQc[]OY H [aumlbn[]ZOslashKj H J H MeJJUP[]fcj H QR[]OaeligJjN H QR[]OXiacutehZ[]Z H MeJg[PJUOJLhNPfOXiacute[PhlZIacutejfcNta macr]j^gtMQcYcopy[]QVUPJUY H MeJTJUP[]fcj H QR[]O JBjN H QR[]Osup1admacr s j^

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBΩ out

Objects

Γ

inΩ

inΩ

Background Part

-t not Upv copy ETHEgraveIcircAtildeampAacuteiacuteCcedil=AumlFcedilAtilde5ordm|sup1Aumldraquo~AElig9AumldOgravefrac14raquoUacutesup1Igravefrac14dordm|Atilde

Ω

Ω out (τ)Ω

(τ)in

N

Γ(τ)

Ω

N

v

w

N

-t not Upv ETHEgraveIcircAtildeyEcircAumldIgravefrac14dsup1raquo~AEliggfrac14raquoiEcircAacuteIcircAtilde$AcircnAtilde5AgraveAacuteAumlcedilAEliggsup1raquoUAcircnAumldfrac12AcircnAtildeEcircsup1raquoiexclAacuteIcirc~Atilde$EcircAtildecedilsup1Acirc|frac14ZAacutesup1Aumldraquo

uumlnyacutenthornnyumll13YSordmY_F2ordf

yenKbrvbarsect =4 acirc $ Smacr

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 Atilde|IumligraveAacuteAtildecedil4frac14ZAacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvyzU eacuteWsup1ordm|AringcedilAtilde5AEligfrac14iquest Eacuteiquest AgraveJ]iUumlAcircnAumldfrac12AringAacutesup1Auml|raquoOtildeAumlOgraveeAacuteIcirc~Atildeyfrac14dAgrave Aacutesup1Acirc|Atilde0AgraveAuml|raquoLAacuteAuml|AringcedilIgravefrac14raquoifrac14ordm|AtildeEcircUacuteEacuteLfrac34AacuteIcirc~AtildefTHORN$Uuml v qzqwsup1raquo~Agrave5frac12AringiEcircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquoifrac14frac12ampAacuteAtildecedilIgrave(AElig5IumlgeacuteWsup1ordm|AringcedilAtilde5AEligOtildeEcirc]iquest Atildediquest Ograve] g sup1AEligwAringifrac14frac12sup1Ocirc5frac14Aacutesup1Auml|raquo`AumldOgrave0AacuteIcirc~AtildeTAgrave5AumldcedilwcedilAtilde5AEligwOumlPAumldraquoiEcircsup1raquoordmAcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 OgraveuAring~raquoAgraveAacutesup1Auml|raquosup1raquo~Agrave5frac12Aring~Ecircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquo~frac14dfrac12ampAacuteAtildecedilIgrave(AEligraquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirc EacutePAtildeAacuteiacuteCcedil=Atilde5Atilde5raquo ugrave frac14draquoiEcirc divide JUiquestAEligwAring~Agrave4IcircTAacuteIcirc~frac14Aacute$AacuteIcircAtilderaquo~Atilde5ordm|frac14Aacutesup1AcircnAtildeAcircdfrac14dfrac12AringAtilde5AElig0frac14cedilAtildefrac12AumlCcedilEgraveAtildecedilyAacuteIcirc~frac14draquo uacutedivide Uacutefrac14raquoiEcircaumlAacuteIcirc~AtildeOumlPAumldAEligwsup1Aacutesup1AcircnAtilde(Aumldraquo~Atilde5AEligyfrac14ZcedilAtilde(Icirc~sup1ordm|IcircAtildecedilAacuteIcircifrac14raquo uacuteZdivide Iuml

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

Ecirc]Iumligraveraquo~sup1currenAacutesup1frac14dfrac12BAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 Atilde|IumligraveAacuteAtilde cedil4frac14Aacutesup1Auml|raquo ugravedugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not Upv ucirc eacuteWsup1ordmdAringcedilAtilde5AEligtimesfrac14iquest Eacuteiquest AgraveJ]ampUumlAcirc|Auml|frac12AringAacutesup1Auml|raquoAumlOgrave(AacuteIcirc~Atildearingfrac14AgraveAacutesup1AcircnAtildeOslashAgrave5Auml|raquoLAacuteAumldAringcedilIacuteIgravefrac14draquoifrac14ordm|AtildeEcirc`EacuteUfrac34AacuteIcircAtildeOcircfTHORN$Uumlv q w iquestiexclCcedilgsup1currenAacuteIcirc~AumldAringAacuteAacuteIcirc~Atildefrac14dEcirc~Ecircsup1Aacutesup1Aumldraquoifrac14dfrac12TAacuteAtildecedilIgrave(AElig5IumliexcleacuteWsup1ordm|AringcedilAtildeAElig Ecirc]iquest Atildediquest Ograve] g sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo AumlOgraveaeligAacuteIcirc~AtildeAgraveAumldcedilwcedilAtildeEumlAEligwOumlPAuml|raquo~Ecircsup1raquo~ordm AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 OgraveregAring~raquo~Agrave Aacutesup1AumldraquoeumlCcedilgsup1currenAacuteIcirc~Auml|AringAacuteIacuteAacuteIcircAtilde frac14|Ecirc~Ecircsup1currenAacutesup1Aumldraquoifrac14frac12FAacuteAtildecedilIgrave(AElig v raquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirceumlAEligwAring~Agrave4Icirc AacuteIcirc~frac14AacuteIgravefrac14icirc vOOtilde wpOumldivide z w Iuml

uumlnyacutenthornnyumll13YSordmY_F2

S $amp)(+-)013021+345627893lt=gt9A6CB

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIumligravesAacuteAtildecedil4frac14Aacutesup1Aumldraquogt ugrave|ugrave AgravedIumlieacuteWsup1raquoifrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12Acirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 AtildedIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIumlieacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvtimesLg sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo(AumldOgravePAacuteIcirc~AtildeAtildeAcircnAuml|frac12AringAacutesup1AumldraquoAumldOgravePAacuteIcircAtildeEgraveAgrave5Auml|raquoLAacuteAumldAringcedil-frac14draquo~EcircNtildeAacuteIcirc~AtildeEgraveAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 v Ccedilgsup1AacuteIcircAuml|AringAacuteAacuteIcircAtildeEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircFAacuteAtilde cedilIgrave w OgraveregAumldcedilEgraveAacuteIcircAtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoAumlOgraveAacuteIcircAtilde9Ograveufrac14dAgrave5AtildeAring~AEligwsup1raquo~ordmyAacuteIcirc~Atilde9Agrave5AumlZAcirc|frac14Zcedilsup1frac14draquo~AgraveAtildeIgravefrac14Aacutewcedilsup1currenicirc]Iuml

frac14Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcircnAtilde EacuteIumligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 v AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde w Agrave|Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacutefrac34 v Acircdfrac14cedilsup1frac14draquoAgrave5Atilde w-t not Upv h=AumldIgrave(Oumlifrac14cedilsup1AEligwAumldraquoOtildeAumldOgraveAacuteIcirc~Atilde$sup1raquo~sup1currenAacutesup1frac14dfrac12eAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34iexclAgrave5Auml|Igrave(OumlAringAacuteAtildeEcircAringAEligwsup1raquo~ordmAacuteIcirc~Atilde$AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde0Igravefrac14Aacutewcedilsup1currenicircv iordmdAringcedilAtildeFEacute w AacuteAumliexclAacuteIcircAtildeAuml|raquoAtildeFAgrave5AumldIgrave(Ouml~AringAacuteAtildeEcircTAringAEligwsup1raquo~ordmiexclAacuteIcircAtildeFAcircdfrac14cedilsup1frac14draquoAgrave5Atilde v ~ordm|AringcedilAtildeFAgrave w OgraveregcedilAumldIgrave AacuteIcirc~AtildeNtildeAEligfrac14dIgrave(Atildesup1raquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcirc|Atilde v iordmdAringcedilAtilde$frac14 w Iuml

uumlnyacutenthornnyumll13YSordmY_F2_a

yenKbrvbarsect =4 acirc $ ]z

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv Oslash| THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5AtildeccediliacuteAtildecedilsup1UgraveUegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_o

Si $amp)(+-)013021+345627893lt=gt9A6CB

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv ordf THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5Atildeccedilqfrac14dUgraveUsup1currenfrac34LAumldegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_y

RR-0114-SJEHANpdf
  • wwwi3sunicefr
    • httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf
Page 16: LABORATOIRE INFORMATIQUE, SIGNAUX ET SYSTEMES DE …mh/RR/2001/liste-2001.pdf · 2002. 6. 27. · [Dir01] DIRAT L. “Outils pour des Mathématiques Interactives et Distribuées”

$amp)(+-)013021+345627893lt=gt9A6CB ^vF[]ZOslashKj H N H Qc[]O [SX H MJy0jfcJLhVA9N[PhNPOF[PJOtildeJjN H Qc[]OY^ltO H hZ[W^jb H QR[]O[SXiexclNeuml^mWONSZaringQcbLNPfFYZbdMeJZOslashJ QcO H MeJ0jfRJLhZVA9N[PhNPO[PJ JBjN~V

H QR[]OYQcO [Ph^eJLh H [aeligbn[]ZaringKj H J H MeJ5UPJUfR[BbLQ H mregUPJUb H [Ph[SX H MeJOtildeNPb H QVUPJOtildebn[]O H []jh^MJ UPJUfR[WbLQ H mXiacutejOb H QR[]OoccedilQsY H MJUO bn[]ZaringKj H JU^NPO^Q H fcJUNP^Y H [ H MJ5Xiacute[]fcfR[WQcO[JUP[]fcj H QR[]OJjN H QR[]OOaring aelig Yacuteaelig agrave aacuteacircaduuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml S jeacute ad]jWMJLhZJ QsY H MeJ bLjehlU~N H jehJaring[SXuYacuteaagravej^5O[Ph^eJLh H [aQZOslashK-fRJZOslashJUO HOtildeH MQcYordf|iexcl eNN[PhNPO[]QcNPOXiacute[PhlZtimesjfcN H QR[]O QsY(jYJU^O^JUbnJUO H fmSeampNihN[]Qc[]YNPO^frac34JLhQcbdMeJaNihdN[]QR[]YOtildeNPO^iexclJLhdQcbMeJSefhShSh]jegMNUPJKh[PK=[]YZJU^ NPOJk H JUOYZQc[]O[SX H MeJordfWF[PhY` [SXOcircEgraveMBjNPO^o0jQcfcfcJcentm QZOslashKhZ[UWQcO[ H MeJ^eJUYbnhQRK H [Phaelig[SX H MJbn[]O H []jeh QcO7[Ph^eJLh H [QcObn[PhK=[PhdN H J H MJQCZaringN[PJ[PhNP^QRJUO HNPYiexclQcO[PJL[W^eJUYZQcbIacuteNPb H QVUPJtimesbn[]O H []jehY^gtMeJTJUP[]fcj H QR[]OaJjN H Qc[]OaQcYiexclQZOslashKfRJZaringJUO H JU^jYQcO[ H MeJ(fRJUPJUfBYJ H ZOslashJ H Me[W^aeligQcO H hZ[B^jbnJU^aumlcentm q YZMJLhNPO^ G J H MQcNPOoa q YZMeJLh$NPO^G J H MQcNPOOeltfhSiSi_aNPfcfsNP^Q9J H NPfd^VefhShSmacr G J H MQcNPOOeltfhShS]j^ UPJLhYm QcO H JLhJUY H QcO[KNih H [SX H MQsYyWF[PhY`Oacutebn[]ObnJLhdOY H MeJ QsO H hZ[W^jb H Qc[]O[SXY[]ZOslashJ^eJUYZbnhdQRK H [PhYlaquouuml thorn timesOslash yumlNPO^uuml thorn UgraveUcircUacuteUuml yuml X[PhNiKKfcQsbLN H QR[]OYfcQV`PJ H Jk H jehZJFYJ[]ZOslashJUO H N H QR[]OtimesNPO^gZOslash[UBQcOF[[Pcent~JUb H Y^eJ H JUb H Qc[]OO^

G []ZOslashJT[ H MeJLhUacuteNiKKh[]NPbMeJUYlaquoa)vMN`BhNicentEgrave[Ph H mJ H NPfd^VeltfhShSvMeJUYONPj^ J H NPfd^VefhShSh]j9KhZ[PKEgrave[]YJ H [OtildebMe[B[]YJ(N H JUNPbdMOslashY H JLK H MeJ^QcYKfsNPbnJZOslashJUO H [SX H MeJNPb H QVUPJ(bn[]OWVH []jeh H MN H ZaringN`PJUY H MeJybnhQ H JLhQc[]OOtilde^eJUbnhZJUNPYJS^SvMN`BhNicentEgrave[Ph H miexclJ H NPfd^a)vMN`hNicentEgrave[Ph H mJ H NPfd^VecopyfhShS]jtimesQcO H h[B^jbnJ N`hZJ[]QR[]OWVcentNPYZJU^7NiKKhZ[]NPbMxXiacute[Ph H MeJ YZJ[]ZOslashJUO H N H Qc[]O[SXQZOslashJU^QcbLNPfQZ N[PJUY^ iexclYQcOeKj H [SX H MJUQRhNPfV[P[PhQ H MZe H MeJm bn[]OYQc^eJLh(centEgrave[ H M H MeJNPb H jNPf9QZaringN[PJgOtilde NPO^ H MeJOtildehZJ[]QR[]OWV4bLfsNPYZYZQVJU^ QCZaringN[PJgOtildeoslash^FMeJOtildebLfcNPYZYZQVJU^ QZaringN[PJOtilde oslash QcYiexclbn[]ZOslashKj H JU^`centmwZaringNkeQZaringQVcurrenUQcOF[ H MeJTKEgrave[]Y H JLhQc[Ph^QsY H hQRcentj H QR[]O [SX H MeJThJ[]QR[]OfcNicentEgraveJUfcY[]QUPJUO H MeJQcO H JUOYZQ H maeligQZaringN[PJS^MeJUQRh0hZJ[]QR[]O H JLhlZ JUOXiacute[PhbnJUY H MJcentEgrave[]jO^WVNihYm H [JUObLfc[]YJaringNYZQcOF[]fRJaelighZJ[]QR[]OQcOumlOtildeoslash^MeJaring^JUYZbnhQRK H [PhdYOtildeNihZJ H MeJXiacute[]fcfR[WQcO[WQ H M H MeJauml^QEgraveJLhZJUObnJ H MN HH MeJmWFNPO HH [regZaringNkeQZaringQcurrenLJ H MJTbnhQ H JLhQc[]OocircaringEFG FH uuml thorn UgraveUacuteUuml yuml aacute[Z] Otilde oslash a2atildeltszligaumljuuml thorn times Oslash yuml aacute suuml thorn otilde)yuml aacute[Z cent Otilde_^Ogravea2atildeshyszligaumlFj a)zSjWMJLhZJ]Z NPO^`Z cent NihZJ H WNtilde[7KEgrave[]YZQ H QVUPJbn[]OY H NPO H YNPO^ Otilde_^aQcY H MeJfrac34[PhNP^QRJUO HQZ N[PJS^ KhQc[PhYMNiKEgraveJ H JLhZDQcY(NPfcY[OslashNP^^eJU^ H [ H MJaumlbnhQ H JLhQR[]OeWiexclMQcbMbLNPO centEgraveJQcO H JLhZJUY H QsO[gXiacute[PhZOslashJU^QcbLNPf-QCZaringN[]QcO[gWiexclMeJLhZJ H MJiexclON H jehJ[SX H MeJYZMNiKEgraveJiexcl^[JUYFOe[ HbdMNPO[PJNaumlfc[ H Xh[]Z2QcO^QUBQc^jNPf H [TQsO^QVUWQc^jNPf)^MeJUOeiNPYNtildeQcOwa)EgraveMBjaringNPO^ordm0jQcfcfRJSefhShS]je H MeJWMe[]fRJaumlKhZ[PcentfRJZ QsY(hZJU^jbnJU^ H [ bn[]ZaringKj H QcO[ cent=[]jO^NihYm QcO H J[PhdNPfcYH MNPOF`BY H [ H MeJ hZJLJUOWVAQcJZaringNPOO H MeJL[PhZJZte(hN H MeJLh H MNPO centEgrave[ H M centEgrave[]jO^NihYmNPO^ ^[]ZaringNPQcO QcO H J[PhNPfcY^yacuteMeJQZOslashKfRJZaringJUO H N H QR[]O [SX H MeJNPb H QVUPJ7bn[]O H []jhaQcOa)vMN`hNicentEgrave[Ph H mJ H NPfd^Ve fhShS]jaringQcYaring^e[]OeJacentmjYZQcOF[N not []jehQcJLharingKNihNSZOslashJ H JLhdQVcurrenUN~VH QR[]O^yacuteMeJJkWKhZJUYZYZQc[]O [SX H MeJumlUPJUfR[WbLQ H mAumlUPJUb H [Ph [SX H MeJOacuteNPb H QVUPJ7bn[]O H []jeh QcY

uumlnyacute|thornLyuml13 a

yenKbrvbarsect =4 acirc $ zOe[ H bn[]ZOslashKj H JU^OeNtildecentj HOslashH MeJ bnhQ H JLhQc[]OQcYaringQcO H hZ[W^jbnJU^NPO^ OBjFZOslashJLhQcbLNPfsfVmOacuteJUiNPfuVjN H JU^ QsO [Ph^eJLh H [ ZaringNkeQZaringQVcurrenLJQ H ^ JbLNPO Oe[ H J H MN HH MJeumlNPj H Me[PhYMNUPJKh[PK=[]YZJU^ NlaquoUPJLhYm QcO H JLhZJUY H QcO[aeligJk H JUOYZQR[]O [SX H MQcYWNtilde[Phl` jYQcO[ H MJ5[]NSZaringJ H MeJnV[PhYma)vMN`BhNicentEgrave[Ph H m NPO^jObLNPOOeOfhShSh]j^J[]Qc[]O NPO^ cent=[]jO^NihYmOslashbnhQ H JLhdQR[]OYNihZJYJLKNihdN H JU^OePcentj H JUNPbMaringbnhQ H JLhQR[]Otimesbn[]O H NPQcOY$NPOtimesQsO H JLhNPb H Qc[]OlaquoWQ H M H MeJ[ H MeJLh^ Y H MJ_[]NSZOslashJKhZ[S[PhJUYZYJUYeBcentEgrave[ H MZOslash[W^jfcJUYyQZOslashKh[UPJ H MeJUQRh0KEgrave[]YZQ H QR[]OY H MhZ[]j[]MZtimesj H jNPfQcOFX[PhlZ N H QR[]O YZMNihQsO[^

Oe[ H MeJLhIacuteYZQZaringQcfsNihUacuteNiKKhZ[]NPbMMNPYaumlcentEgraveJLJUOQcO H hZ[W^jbnJU^eumlcentmbvMeJUYZONPj^eumlJ H NPfd^a)vMJUYZONPj^ J H NPfd^VefhShSh]j^FMeJUQchNtilde^eJUYZbnhdQRK H [PhYFNihZJhZJnVJU~NPfsjN H JU^ JUNPbM H QZOslashJUacuteNKEgrave[]QcO H [SX H MJNPb H QVUPJbn[]O H []jehFJUP[]fVUPJUY0YZQsObnJ H MeJUQRh0^JUYZbnhQRK H [PhdY$NihZJY H N H QcY H QcbLNPfXiacuteJUN H jehZJUYOtilde[SX H MeJ QZaringN[PJordm[]fR[PcentNPfsfVm`N HH NPbdMeJU^ H [ H MeJOslashJUP[]fVUWQcO[ hZJ[]Qc[]OY^shyMJmbdMe[[]YZJ H MeJ`hNPO^e[]Z ^QcYKfsNPbnJZOslashJUO H [SXaumlNOacutebn[]OYZQs^eJLhZJU^ KEgrave[]QcO H [SX H MeJ NPb H QVUPJbn[]O H []jehOslashY[ H MN HIacuteH MJ bnhQ H JLhQR[]O7^eJUbnhZJUNPYJUY^$ _X H JLhaeligJUNPbdM ^QcYKfsNPbnJZOslashJUO H [SXNKEgrave[]QcO H [SX H MeJIacuteNPb H QVUPJIacutebn[]O H []jehe H MJT^eJUYZbnhQcK H [PhY(NihZJOtildehZJnV4bn[]ZaringKj H JU^O^

fcN H JLh NiKKhZ[]NPbdM MNPYaringcentEgraveJLJUOQcO H hZ[W^jbnJU^ centm G NSZaringY[]O J H NPfd^_a G NSZ Y[]OJ H NPfd^Ve sSsSs jyacuteXiacute[PhOtildebLfcNPYZYZQbLN H QR[]OaNPO^acentmvMNPO NPO^frac34$JUYJa)vMNPOeumlNPO^frac34$JUYJSesSs fjX[PhaYZJ[]ZOslashJUO H N H Qc[]O [SXaeligY H QcfcfOtildeQZ N[PJUY^yacuteMeJm KhZ[PKEgrave[]YJ H [JZIacutecentEgraveJU^ H MeJbnhQ H JLhQR[]O ^QRhZJUb H fVm`QcO H MJaeligfcJUPJUf$YJ H X[PhlZtimesjfcN H Qc[]OO^Ov(MNPOeumlNPO^$JUYJOslashKhZ[PKEgrave[]YJH MeJordfXiacute[]fcfR[WQcO[Oslash^eJUYbnhQRK H [PhYaringEFG FH uuml thorn UgraveUcircUacuteUuml yuml aacutecb7d Otilde e f centUhguuml thorn timesOslash yuml aacutecb cent Otilde e cent centuuml thorn otilde)yuml aacuteiS adi]jWQ H M e H MeJ NUPJLhN[PJ[SXgOtildeQcOicircOuml timesOslash e e cent H MJ`NUPJLhdN[PJ[SXgOtilde7QsO OumluUgraveUcircUacuteUuml^MeJUYJH WNtilde[ UiNPfcjeJUY NihZJhJnVJUY H QZaringN H JU^ ^jehQcO[ H MeJKhZ[PK-N[]N H QR[]O [SX H MeJbLjhYUPJNPYH MeJaelighZJ[]Qc[]OYJUP[]fVUPJS^shyMeJtimesKNihNSZaringJ H JLhYjb e1b cent egeumlNPO^kSNihJaringY[]ZOslashJaeligKEgrave[]YZQ H QVUPJbn[]OY H NPO H Y^iexclJLhZJ H MJ fRJUPJUfFYJ H ZOslashJ H Me[W^QsYIacute^QchZJUb H fVmjYJU^OacutecentmhJLKhZJUYJUO H QcO[H MeJtimesbLjehYUPJlaquoYacuteaagravejNPY H MeJycurrenLJLhZ[fRJUPJUfampYJ H [SXyNQRKYZbdMQ H currenTbn[]O H QcOBje[]jY_XiacutejOb H QR[]Ol a2atildeshyszligaumlKszligYagravej^]MeJfRJUPJUfWYJ H XiacutejOb H QR[]O l QcYQsO H hZ[W^jbnJU^timesQcO H MeJbnhQ H JLhQc[]OUWQcN H MeJiexclJUNUWQcYZQc^JyacuteXiacutejOb H QR[]Onmra l j^MeJbnhQ H JLhQR[]O QcY H MeJUOoZaringQcOQZaringQVcurrenLJU^WQ H M hZJUYKEgraveJUb HH [ l jYZQcO[OslashNaelighZJ[]jfcNihQVcurrenLJU^UPJLhYQR[]O[SX H MJyZaringQcOQCZaringQVcurrenUN H QR[]O KhZ[PcentfcJZ JIacuteOe[ H JMeJLhJ H MN HFH MeJJUP[]fcj H QR[]OaringJBjN H QR[]O QcY0^QRhZJUb H fVmtimesJkBKhZJUYZYJU^regWQ H M H MJiexclfRJUPJUf-YJ HXqjOb H QR[]O NPO^ Oe[ H WQ H M H MJTbLjehYUPJgYacute|^

G []ZOslashJ[ H MeJLhWNtilde[Phl`BYeBjYZQcOF[auml^QcY H hQccentj H QR[]O H MeJL[PhYmSeBMNUPJcentEgraveJLJUOaringKh[PK=[]YZJU^OslashcentmJLcenthZJUjFUPJaJ H NPf)^_aJLcenthZJUjUPJ J H NPfd^Ve sSs fjXiacute[PhZaringJU^QcbLNPfQCZaringN[]QcO[NPO^ centm 5ZaringNP^QRJUjJ H NPfd^shyaq _Z NP^QRJUj J H NPf)^VeshyfhShSh]jcopyXiacute[PhcentjQsfc^QcO[times^eJ H JUb H QR[]OO^not QcONPfcfVmSe~hZJ[]QR[]OWVcentNPYZJU^aringNPb H QVUPJbn[]O H []jehYNtildeNihZJNPfcY[OtildeKEgrave[WFJLhYXqjf H [[]fsYX[PhNtildebLfcNPY5VYZQbLN H QR[]Opounda13yJcurrencurrenUQJ H NPfd^VeshyfhShSh]j[Ph_ZOslash[ H Qc[]O^eJ H JUb H QR[]Oxaw_aNPOYZ[]jehQgNPO^wcOtilde[]OWVhNP^efhShSh]j^MeJZ N~5[PhOtildebn[]O H hQRcentj H Qc[]Oa[SXy[]jh5WF[PhY`aQsY H [KhZ[PKEgrave[]YJaeligNo[PJUOeJLhNPfQXiacutehNSZOslashJnVWF[PhY`X[PhaumlhJ[]QR[]OWVcentNPYJU^OacuteNPb H QVUPJ bn[]O H []jehY H N`BQcOF[QcO H [NPbLbn[]jO HIacuteH MeJaringbLNPYJ [SX

hZJ[]Qc[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhY^OgraveMeJ UPJUfR[WbLQ H mordmUPJUb H [PhF[SX H MJiexclNPb H QVUPJUacutebn[]O H []jh

uumlnyacute|thornLyuml13 o

i $amp)(+-)013021+345627893lt=gt9A6CBQcYUacutebn[]ZOslashK-j H JU^centm`QcO H hZ[W^jbLQcO[N ^mWONSZaringQcbLNPfampYZbdMeJZOslashJaring^QchZJUb H fVm`QsO H MJaringbnhQ H JnVhQc[]O H [frac34ZaringQcOQZaringQVcurrenLJaeligNPYTQcO aJLcenthJUjUPJ J H NPfd^Ve sSs f 5ZaringNP^QcJUjJ H NPfd^VefhShSh]j^iexcl[WFJUPJLheWFJ KhZ[PKEgrave[]YJ MJLhZJ N OJW Xiacute[PhlZtimesjfcN H QR[]O7[SX H MJ^JLhQVUiN H QR[]OjYZQcO[YZMNiK=JIacute[PK H QZaringQcurrenUN H QR[]O H [B[]fcY^ Q H M YjbM NZaringJ H Me[B^egtWFJtimesNihJaeligNicent-fRJ H [hZJUNP^QsfVmH N`PJQcO H [NPbLbn[]jO HaringH MeJ bLNPYJ [SXhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhY H MN H U~NihYm^jhQcO[ H MeJ KhZ[PKN[]N H QR[]O[SX H MeJ NPb H QUPJ bn[]O H []jeh^MeJUYJ ^eJUYZbnhQRK H [PhYTMNUPJH [centEgraveJtimesbn[]OYZQc^eJLhZJU^ YZQcObnJ H MJmaNihZJlaquoWQc^eJUfmjYJU^X[PhOtildejOYZjeKEgraveJLhYUWQcYJU^YJ[]ZaringJUOWVH N H QR[]O^ not [Ph(YZjbdM hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYbnhQRK H [PhYeOgraveWFJiexclYZMe[W H MN H NP^^Q H QR[]ONPfH JLhlZ Y0NiKKEgraveJUNihNtildeQsO H MeJJUP[]fcj H QR[]OaringJBjN H QR[]O [SX H MeJiexclbLjehlUPJ H MN H MNUPJUacuteOe[ H centEgraveJLJUOKhJUBQR[]jYZfVm bn[]ZOslashK-j H JU^O^

pE paraOacuteOgraveJJTIshyAgravesup1cedilqoacuteIshyacuteLcedilsup3UrltLcedilgtmicrobacuteNsMgtLtrraquoML iquest acuteAgravegtT2MKIOAacutelAcirclaquocedilFAtildeacuteNfrac12oRSJT13AringKacutepoundAEligMKIKJMgtPltLAtildeq jhyZaringNPQcOb[P[]NPfFfsQRJUYTQcO H MeJ JUfsNicent=[PhdN H QR[]O[SXNfrac34[PJUOeJLhNPfXhdNSZOslashJWNtilde[Phl`umlX[Ph H MeJYJ[]ZaringJUO H N H QR[]O7[SXNPO7QZaringN[PJQcO H WF[euml^Q=JLhJUO H hZJ[]QR[]OYtimesjYZQcOF[hZJ[]QR[]OWVcent-NPYJU^NPb H QVUPJIacutebn[]O H []jehdY^ JOtildeKhZ[PKEgrave[]YJ H [ZaringQcOQZ QVcurrenLJ H MeJiexcl[PJUOeJLhdNPfgbnhQ H JLhQc[]O a2jWiexclMeJLhZJUacuteJUNPbM hJ[]QR[]OQcYamp^eJUYbnhQRcentEgraveJU^TjYQcO[UacuteN_XqjOb H Qc[]OtimesbLNPfsfRJU^ n^eJUYZbnhQRK H [Ph[SX H MeJhZJ[]QR[]Op^i YampKhZJUWQuV[]jYfVmOtilde^eJ H NPQcfRJU^OeNiexcl^eJUYbnhQRK H [PhQcY9N XiacutejOb H QR[]O H MN H ZOslashJUNPYZjhZJUY H MJNtildeMe[]ZOslash[S[PJUOJUQ H m[SXyN hZJ[]QR[]OO^Egrave_[]Y H [SXyhJUfRJU~NPO H Y H N H QcY H QcbLNPf^eJUYZbnhQcK H [PhY^JLK=JUO^ H MeJZaringYZJUfVUPJUY[]O H MeJOslashhJ[]QR[]OO^ G []ZOslashJOslashJkeNSZOslashKfRJUYOtildeNihJordm[]QVUPJUOQcO G JUb^shy^ macr^ not [PhTJkWNSZOslashK-fRJSe H MeJhZJ[]Qc[]Oa^eJUYZbnhdQRK H [Phordfuuml thorn timesOslash yuml bLNPO centEgraveJTbM[]YJUOeumlNPY H MJyUiNihQcNPObnJvu centtimesOslash [SX H MeJThJ[]QR[]OOumlcopytimesOslashFeWMQcbdM[]QVUPJUYaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashj|aacute[u centtimesOslash aacutexw$ aOtilde SOtimesOslashjUcirccent atilde aumlw$ atilde aumlWMJLhZJSOtimesOslash QcY H MJyZOslashJUNPO [SX H MeJaumlhJ[]QR[]OwOumlcopytimesOslash^ G jbMaNaring^eJUYZbnhQcK H [PhQcY(ONSZaringJU^aNn5hZJ[]Qc[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhlpOslashYZQcObnJaumlQ H ^eJLKEgraveJUO^YF[]O H MeJaumlhJ[]QR[]OwOuml timesOslash ^q ObnJ H MeJTbnhdQ H JLhQR[]O QcYQcO H h[B^jbnJU^OeWNtildeJTKhZ[PKEgrave[]YJ H [ bn[]ZaringKj H J H MeJTJUP[]fcjWVH QR[]OUacuteJBjN H QR[]OT[SX H MJ0bn[]O H []jh H MN H WQsfcfZaringN`PJ0Q H JUP[]fVUPJ H [WNih^YNyacuteZaringQcOQCZIacutejFZ[SX H MeJTbnhdQ H JLhQR[]OjYZQcO[OslashNaringOeJWH0jfcJLhQcNPOZOslashJ H Me[W^O^ H XqjO^NSZOslashJUO H NPfcfVm ^QEgraveJLhYXiacutehZ[]Z2[ H MJLhFNiKKhZ[]NPbMeJUYFYZQcObnJyacuteWNtildeJ_`PJLJLK H MJ Xiacute[PhlZIacutejfcN H QR[]Oaring[SXhJ[]QR[]OY0QsOY H JUNP^[SXyhJU^jbLQcO[ H MeJWiexclMe[]fRJTKhZ[PcentfRJZ H [ centEgrave[]jO^NihYm QcO H J[PhNPfcY^gtO^JLJU^OeWFJlaquohY HQcO H hZ[W^jbnJFNiexcl^mWONSZaringQsbLNPfYZbdMeJZOslashJ(QcO H MeJ(bnhQ H JLhQc[]OIacuteNPO^ H MeJUOWFJbn[]ZaringKj H J H MeJNtildejfRJLhQcNPO`^eJLhQVUiN H QVUPJaelig[SX H MJOslashJUP[]fVUBQsO[ bnhQ H JLhQR[]O`centm`jYZQsO[ YMNiKEgraveJIacute[PK H QCZaringQVcurrenUN~VH QR[]O KhQsObLQRKfRJUY^]MQcYZOslashJ H Me[W^ KhZ[UWQc^eJUY H MeJUacuteNP^U~NPO H N[PJ H MN HH MeJ5U~NihdQcN H QR[]O[SXehZJ[]Qc[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYbnhQRK H [PhYltWQ H M H MeJFJUP[]fcj H QR[]OIacute[SX H MeJNPb H QVUPJ(bn[]O H []jhbLNPO centEgraveJOtildehZJUNP^QcfVm H N`PJUO`QcO H [ NPbLbn[]jO H ^MeJTbn[]ZOslashKj H N H QR[]Oa[SX H MJTJUP[]fcj H Qc[]OaJBjN H QR[]O`[SX H MeJIacuteNPb H QUPJtimesbn[]O H []jehOtildeQcYKEgraveJLhYXiacute[PhlZOslashJU^QcO H MehJLJyZaringNPQcO Y H JLK-Yaring

uumlnyacute|thornLyuml13 y

yenKbrvbarsect =4 acirc $ hf^ltO H hZ[W^jb H QR[]O[SX$NOslash^mWONSZaringQcbLNPfYbMeJZOslashJSaring JTYJUNihbdMX[Ph H MeJOtildeKNih H Q H Qc[]O[SX H MeJaumlQZ N[PJadOumlcopytimesOslashszliglOuml UgraveUcircUacuteUuml szligYYacutejWMQcbdMZaringQcOQuVZaringQVcurrenLJUY H MeJbnhQ H JLhQR[]Oocirc|adOumlcopytimesOslashgtszliglOuml UgraveUcircUacuteUuml szligYYacutej^eJUYZbnhQRcentEgraveJU^aeligQcOa2j^ MQcfRJNPYZYZjZaringQcO[

H MN H NPO`[PK H QZaringNPf9KNih H Q H Qc[]O JkWQsY H Ye H MJTQcYZYZjJTQcY H [ bn[]ZOslashKj H J H MQcYiexclY[]fcjWVH QR[]OO^ G QsObnJ H MeJ YJ H [SX(NPfcfy^e[]ZaringNPQsOYaumlMNPYIacuteOe[ H NaY H hjb H jehZJOslash[SXcopyUPJUb H [PhQsNPfYKNPbnJSeQ H QcYauml^Qz bLjf HUacuteH [abn[]ZOslashKj H J H MeJ ^eJLhdQVU~N H QUPJOslash[SX H MJ bnhQ H JLhQc[]ONPb|Vbn[Ph^QcO[ H [ H MJ^e[]ZaringNPQsOY^_[ bLQchbLjFZUPJUO H H MQcY`KhZ[PcentfcJZeyacuteWFJNiKKfmN H hNPOYYX[PhlZ N H QR[]O| H [ JUNPbM^e[]ZaringNPQsOOeYZjbdM H MN H Q H centEgraveJUbn[]ZOslashJUY`bn[]OWVH QcOj[]jYZfVm^eJLKEgraveJUO^eJUO H []O NPO JUP[]fsj H QR[]O KNihNSZOslashJ H JLhagrave^MeJ`bnhQ H JLhQR[]Ocent=JUbn[]ZaringJUYT^eJLKEgraveJUO^eJUO H []Obagravearingocirc|aagravejgaacute ocirc|adOumlcopytimesOslashaagravejszliglOuml UgraveUcircUacuteUuml aagravejszligYYacuteaagravejj^QO H MQcY^mBONSZaringQcbLNPfTYbMeJZOslashJSeiexclWFJ bLNPO hJUNP^QcfVm H N`PJQcO H [ NPbLbn[]jO H N K=[]YYZQRcentfRJU~NihQsN H QR[]O[SX H MeJ ^eJUYZbnhdQRK H [PhYWQ H M H MeJJUP[]fVUWQcO[ hZJ[]QR[]OYk|adOuml times j aacuteOumlcopytimesaagravej^

^QiexclJLhdQVU~N H Qc[]O [SX H MeJaumlbnhQ H JLhQc[]O jYZQcO[OslashYZMNiK=JOtilde[PK H QZaringQVcurrenUN H QR[]O H MJL[PhZJZaringYaringMeJNtildebnhdQ H JLhQR[]OocircOcircaagravej9QcY H MeJUOIacute^JLhQVUPJU^TNPbLbn[Phd^QcO[ H [5agrave H MNPO`WY H [ H MeJFbn[]ZaeligVKj H N H QR[]Oeuml[SX H MeJ0jfRJLhQcNPOeuml^eJLhQU~N H QVUPJaelig[SX_ocircjYZQcO[YZMNiKEgraveJaelig[PK H QZ QVcurrenUN H QR[]OKhQcObLQcKfRJUYeOWMQcbMQcYIacuteOJWQsO H MeJNihZJUN [SXNPb H QVUPJ bn[]O H []jehY^$ YXqNihOslashNPYH MeJF^JLhQVUiN H QR[]OTQcYbn[]ObnJLhOeJU^e H MeJU~NihdQcN H QR[]OIacute[SX H MeJF^JUYZbnhQRK H [PhdYWQ H M H MeJJUP[]fVUBQsO[OslashhZJ[]QR[]OY_Oumlcopytimesaagravej(NPO^Y[ordmWQ H MagravetZIacutejY H centEgraveJ H N`PJUOaQcO H [aringNPbLbn[]jO H ^

^vF[]ZOslashKj H N H Qc[]O [SX H MJaumlJUP[]fcj H QR[]OJjN H Qc[]OXh[]Z H MeJauml^eJLhQU~N H QVUPJSaringnot hZ[]Z H MeJNtilde^JLhQVUiN H QVUPJSeWFJNtilde^eJU^jbnJ H MeJUPJUfR[WbLQ H mordfUPJUb H [Ph$[SX H MeJFNPb H QVUPJbn[]OWVH []jeh H MN H WiexclQcfcfZaringN`PJQ H JUP[]fUPJiexclNPYXqNPY H NPY$KEgrave[]YZYQRcentfRJ H [WNih^YNtildeNgZaringQcOQCZIacutejFZ[SX H MeJOtildebnhQ H JLhdQR[]OO^ObLNPYJUacute[SX9hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhYe H MeJUacuteJUP[]fcjWVH QR[]OeumlJjN H QR[]Oeuml[SX H MJaringNPb H QVUPJaringbn[]O H []jhTQcYOtilde^QEgraveJLhZJUO H XhZ[]Z H MJtimes[]OJaringbn[]ZaeligVKj H JU^ Xiacute[Ph hZJ[]QR[]OWV4QcO^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhY^ G []ZOslashJ`NP^^Q H QR[]ONPf H JLhZaringYNiKKEgraveJUNihiexclNPO^`Y[ Q H QcY[SX$KhdQZOslashJaumlOeJUbnJUYZYQ H m H [bn[]OYZQc^JLh H MeJ H WNtilde[o`WQcO^Y([SX^eJUYZbnhQRK H [PhY(YJLKNihN H JUfmS^

9J H jYFOe[ H J H MN HFH MQcY[PJUOeJLhNPfKXiacutehNSZOslashJWF[PhY` bLNPO centEgraveJNiKK-fcQRJU^ H [ordmZaringNPOm ^QEgraveJLhVJUO H NiKKfsQcbLN H QR[]OYcentm[]OfVmbMNPO[]QsO[ H MeJT^eJUYbnhQRK H [PhY^ H MNPYcentEgraveJLJUOOe[ H NicentfmNiKK-fcQRJU^ H [ordmZOslash[UBQsO[aelig[Pcent~5JUb H Y(^J H JUb H QR[]O QcOoUBQs^eJL[timesYZJjeJUObnJUY(NPbjQchZJU^ JUQ H MeJLhWQ H MN Y H N H QcbawS]JUMNPOWV4XFJUYZY[]O J H NPfd^Ve sSs fLbjiexcl[PhUacuteNregZOslash[Pcent-QcfRJTbLNSZOslashJLhdNawS]JUMNPOWVXFJUYZY[]O J H NPf)^Ve sSs fncentj^ JUYZbnhQRK H [PhdYoZ Nm NPfcY[centEgraveJ YJBjeJUO H QcNPfcfVm jYJU^ H [QZaringKhZ[UPJ H MeJu-ONPfBhZJUYZjf H NPYyQ H MNPYampcentEgraveJLJUOaeligKh[PK=[]YZJU^timesQsOtawSPJUMNPOWV4XFJUYZYZ[]OOslashJ H NPfd^VesSs fLNOgravej^^f^~OacuteETHEgraveKEacute18=KETH32EacuteltOacuterEacute0frac34Ntilde83ltOacuteONtildeshyIacute=gtNtildeshyEumltIcirc=39IgraveFIacute5Igrave O QZaringN[PJumlOtildegta2atildeltszligaumlj QcYNxXqjOb H QR[]O ^eJOJU^ Xiacute[Phpounda2atildeshyszligaumlFj OumlOcirccenteuWMeJLhZJOumloslashQcY H MeJ QZaringN[PJ ^e[]ZaringNPQcOO^ltMeJ QCZaringN[PJ ^e[]Z NPQcOQcYIacutebn[]OYZQc^eJLhJU^ H [ cent=JZaringNP^eJjeK`[SX H WF[KNih H Ylaquoa not Q[^fjaring H MJyXiacute[PhZJ[PhZ[]jO^`KNih H bn[]O H NPQsOQcO[ H MeJT[Pcent~JUb H Y H [

uumlnyacute|thornLyuml13

f s $amp)(+-)013021+345627893lt=gt9A6CBYJ[]ZaringJUO H e=Oe[ H JU^frac34OumlcopytimesOslashFe-NPO^ H MeJaumlcent-NPbY`[PhZ[]jO^aKNih H Oe[ H JU^Ouml UgraveUcircUacuteUuml ^MeJauml^QcYZbn[]OWVH QcOBjQ H m`YJ H QcYOtildeNbLjehlUPJ Oe[ H JU^bYacute H MN H ^JOeJUY H MeJ cent=[]jO^NihYmcentEgraveJ H WNtildeJLJUO H MeJH WNtilde[ ^[]ZaringNPQcOY^ J H MJUOaYJUNihbdMtXiacute[Ph H MeJ H WNtilde[^e[]ZaringNPQsOYyacuteOuml UgraveUcircUacuteUuml NPO^wOumlutimes OslashWMQcbdMtZaringQcOQZaringQVcurrenLJ H MeJbnhQ H JLhQR[]Oocircuml[]QVUPJUOcentmumla2jehZJZaringQcO^eJU^ MeJLhZJSaring

ocirc|adOuml UgraveUcircUacuteUuml szliglOumlcopytimesOslashgtszligYYacuteQjumlaacute uuml thorn UgraveUcircUacuteUuml yuml a2atildeltszligaumlgtszliglOuml UgraveUacuteUuml j atilde auml $ uuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOuml timesOslash j atilde aumlamp uacuteucirc thorn yuml uuml thorn otilde)yuml a2atildeshyszligaumlFj THORN5OaumlbnhQ H JLhdQR[]Oa2je H MeJ|hY HH WNtilde[ H JLhlZaringY9NihJyhZJ[]QR[]OWVcent-NPYJU^ordfWMQsfRJ H MeJ H MQRhd^ H JLhlZQcYcentEgrave[]jO^NihYmVcentNPYJU^O^MeJiexclXqjOb H QR[]OYyacuteuuml thorn UgraveUcircUacuteUuml yuml egtuuml thorn timesOslash yuml NPO^tuuml thorn otilde)yuml NihZJaumlhZJUYKEgraveJUb H QVUPJUfmH MeJ^eJUYZbnhdQRK H [PhY[SX H MeJFcentNPbl`[PhZ[]jO^timesKNih H ei[SX H MeJ[Pcent~JUb H Y H [OtildeYJ[]ZOslashJUO H NPO^Iacute[SXH MeJaumlbn[]O H []jeh^KMeJauml^eJUYbnhQRK H [PhYuZ Nm centEgraveJordf[]fR[PcentNPfcfm N HH NPbMJU^ H [ H MeJOtildeJUP[]fVUWQcO[hZJ[]Qc[]OY(NPO^Y[ ^eJLKEgraveJUO^ []Ofrac34Ouml timesOslash [Ph5OumluUgraveUcircUacuteUuml^

G QcObnJ H MeJaringYJ H [SXNtildeNPfsf$^e[]ZaringNPQcOYUacuteMNPYOtildeO[ H N Y H hjb H jehJtimes[SXUPJUb H [PhQcNPfyYZKNPbnJSeWFJIacutebLNPOeumlOe[ H bn[]ZOslashKj H J H MeJaelig^eJLhQVUiN H QVUPJT[SX H MJIacuteKhJUBQR[]jYbnhQ H JLhdQR[]OaNPbLbn[Ph^QcO[H [euml^e[]ZaringNPQcOY^ltMJLhZJX[PhJSe H [bn[]ZOslashKj H JNPO[PK H QZaringNPfFY[]fcj H Qc[]OOe9Neuml^mWONSZaringQcbLNPfYZbdMeJZOslashJOtildeQcYQcO H hZ[W^jbnJU^WMeJLhZJJUNPbM^[]ZaringNPQcO cent=JUbn[]ZaringJUY(bn[]O H QcOBje[]jYfVm ^eJLKEgraveJUOWV^eJUO H []ONPO JUP[]fcj H QR[]O KNihdNSZOslashJ H JLhagrave^59[ X[PhZaringNPfcQVcurrenLJ H MQcYQc^eJUNe WNtildeJxZaringNmYZjKKEgrave[]YJ H MN HTH MJ JUP[]fcj H Qc[]OKhZ[WbnJUYZYtimesQcY H [ H NPfsfVm^eJ H JLhlZaringQcOJU^centm H MJ JkeQcY5VH JUObnJiexcl[SXgNyXqNSZaringQcfmIacute[SXgNiKK-fcQcbLN H QR[]OY| H MN HNtildeH hNPOYXiacute[PhlZaringY H MeJiexclQsOQ H QcNPfe^e[]Z NPQcOYOumlcopytimesOslashgta s jNPO^tOuml UgraveUcircUacuteUuml a s jQsO H [ H MeJIacutebLjehZhZJUO H ^e[]ZaringNPQcOYyacuteOumlcopytimesOslashKaagravejNPO^frac34Ouml UgraveUcircUacuteUuml aagravejaring

OumlutimesUcirca s j ntilde OumlcopytimesaagravejYacutea s j ntilde Yacuteaagravej WiexclMeJLhZJVQaacuteiV[Ph Kf5 iumlMBjY H MeJOtildehJ[]QR[]OY(JUP[]fVUPJ H [WNih^YiexclNPO [PK H QZaringNPf9Y[]fcj H QR[]O^MeJ H hQRKfcJ H Ouml UgraveUcircUacuteUuml aagravejszliglOumlcopytimesOslashOaagravejszligYYacuteaagravejordmZIacutejY H NPb H NPYNregZaringQcOQZ QVcurrenUQcO[TYZJjeJUObnJgX[Phocirc|adOuml UgraveUcircUacuteUuml szliglOumlcopytimesOslashszligYYacutejWiexclMeJUOagrave JUP[]fVUPJUY^MeJ5XqjOb H QR[]ONPfOocircOcircadOuml UgraveUacuteUuml aagravejszliglOumlcopytimesOslashaagravejszligYYacuteaagravejjMNPY H [ bn[]OOgraveUPJLhY[PJ H [WNih^Y H MeJpoundZaringQcOQCZIacutejFZ UiNPfcjeJeuml[SXregocirc2NPYfrac34agraveacircntilde ograveegrave^ MeJbnhQ H JLhQR[]O H MeJUO centEgraveJUbn[]ZOslashJUYaring

ocirc|adOuml UgraveUcircUacuteUuml aagravejszliglOumlcopytimesOslashaagravejszligYYacuteaagravejjaacute thorn yuml uuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszliglOuml UgraveUcircUacuteUuml aagravejj atilde auml 5$ thorn yuml uuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashKaagravejj atilde aumlj uacuteucirc thorn yuml uuml thorn otilde)yuml a2atildeshyszligaumlFj THORN adh]jMJoXqjOb H Qc[]ONPf_ocircOcircadOumlyacuteUgraveUacuteUumllaagravejszliglOuml timesOslash aagravejszligYYacuteaagravejjaeligQcY H MeJLhZJUNX H JLh O[ H JU^egraveocirc|aagraveje0NPO^H MeJ ^eJUYZbnhQcK H [PhYuuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashKaagravejj NPO^icircuuml thorn UgraveUcircUacuteUuml yuml a2atildeltszligaumlgtszliglOuml UgraveUcircUacuteUuml aagravejjaringNihZJ`hZJUYKEgraveJUb|VH QVUPJUfmUacuteO[ H JU^laquouuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejgNPO^laquouuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszligYagravejeWMQcbdMTfRJUNP^Y H [ H MeJXiacute[]fcfR[WQcO[

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ fSfJkWKhZJUYZYQR[]OOaring

ocirc|aagravejumlaacute thorn yuml uuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszligYagravej atilde auml $ thorn yuml uumlgtthorn timesOslash yuml a2atildeltszligaumlgtszligYagravej atilde aumlj uacuteucirc thorn yuml uumlgtthorn otilde)yuml a2atildeshyszligaumlFj THORN af s j5OOtildebn[]O H hdNPY H WQ H MUacute[ H MeJLh9NPb H QVUPJFbn[]O H []jehdY9NiKKh[]NPbMeJUYe H MeJy^mWONSZaringQcbLNPfPYZbdMeJZOslashJQcYtimesMeJLhZJ^QRhJUb H fVmQcO H h[B^jbnJU^QcO H MeJbnhQ H JLhQc[]OO^ Q H MYZjbdMNeumlYZbdMeJZOslashJSe H MeJQcO H hZ[W^jb H QR[]OOacute[SXiexclNPO NPb H QVUPJbn[]O H []jehOslashJUP[]fVUWQcO[ WQ H Msup1agraveQcYaeligY H hNPQ[]M H Xiacute[PhYWNih^O^iexclJUObnJ WNtildeJbn[]OYZQc^eJLh H MN H Yacuteaagravej QsYoZaring[B^eJUfsfRJU^ NPY NPO NPb H QUPJOacutebn[]O H []jh H MN Hbn[]OUPJLhY[PJUY H [WNih^Y H MJgONPfEgraveJkWKEgraveJUb H JU^YJ[]ZOslashJUO H N H QR[]OO^9J H Yacutea s jtimescentEgraveJ H MeJQcOQ H QcNPfNtildebLjhYUPJa^eJOJU^centm H MeJjYJLh^ JahZJUbLNPfcf H MN H WFJYJUNihdbMtXiacute[Ph YacuteaagravejNPYNaringbLjehlUPJaumlJUP[]fVUWQcO[aringNPbLbn[Ph^QsO[ H [ H MeJgXiacute[]fcfR[WQcO[ordm5 aringaelig YacuteadTHORNOgraveszligYagravejaelig agrave aacuteegraveeuml WiexclQ H MigraveYacutea s j|aacuteegraveYacuteshyiacute afSfjWMJLhZJ_euml`QcY H MJ_UPJUfR[WbLQ H mUPJUb H [Ph([SX H MeJUacuteNPb H QVUPJOtildebn[]O H []jh^MeJ_Z NPQcO KhZ[PcentfRJZfcQcJUYFQsO-O^QcO[ H MeJiexclUPJUfR[WbLQ H meumlXhZ[]Z H MJUacutebnhdQ H JLhQR[]Opoundaf s jFQcO [Ph^JLh H [ordm[PJ HH MeJXqNPY H JUY H bLjhYUPJaumlJUP[]fcj H Qc[]O H [WNih^Y H MeJordfONPfYJ[]ZaringJUO H N H QR[]O^^ ^iexclEacuteltIacuteETHNtildeFETHEacuteshyOacute Eacute10wETH9Igrave8ltIgraveFEgravegt+NtildeFETH3gt+ltIgraveumlEacute10frac34ETH9Igrave=KEgrave13ETHIgraveFEgraveEacuteshyOacute5Oeuml[Ph^eJLh H [ [Pcent H NPQsO H MeJOslashJUP[]fcj H QR[]OeumlJBjN H QR[]Oe H MeJaringbnhQ H JLhQc[]OxocircOcircaagravej5ZtimesjY H centEgraveJ^QV=JLhZJUO H QcN H JU^WQ H MhZJUYKEgraveJUb H(H [agrave^MeJOtildeQcO H J[PhNPfcentEgrave[]jO^Y^eJLKEgraveJUO^ []Otagrave NPO^H MeJauml^JUYZbnhQRK H [PhdYyacuteuuml thorn UgraveUcircUacuteUuml yuml a)jNPO^wuuml thorn times Oslash yuml a)juZaringNm NPfcY[aring^JLK=JUO^[]Otagrave^9J H jY^eJOJ H MeJordfXiacutejOb H QR[]ONPfuumlOa2atildeltszligaumlgtszligYagravejYZjbM H MN H aring

uumlOa2atildeltszligaumlgtszligYagravej|aacute uuml thorn UgraveUacuteUuml yuml a2atildeltszligaumlgtszligYagravej QVXcopya2atildeltszligaumljwOuml UgraveUcircUacuteUuml aagravejuuml thorn times Oslash yuml a2atildeltszligaumlgtszligYagravej QVXcopya2atildeshyszligaumlFjtOumlcopytimesOslashKaagravej af jMJbXqjOb H QR[]ONPfuuml thorn UgraveUcircUacuteUuml yuml a)jNPO^Huuml thorn times Oslash yuml a)j`NihZJ^eJOJU^ []O H MeJxWMe[]fRJ7QZaringN[PJ^e[]Z NPQcOtOumliexcl^FMeJUOe H MeJaumlbnhQ H JLhQc[]OocircOcircaagravejuWhQ H JUY(NPYaring

ocirc|aagravejOcircaacute uacute uumlOa2atildeshyszligaumlKszligYagravej atilde aumlj uacuteucirc thorn yuml uumlgtthorn otilde)yuml a2atildeshyszligaumlFj THORNordfaacuteocirc aagravej ocirc cent aagravej af]jWMJLhZJgOuml QcY H MeJaumlQCZaringN[PJT^e[]ZaringNPQsOOeeNPO^Oaring

ocirc aagravej|aacute uacute uumlOa2atildeshyszligaumlKszligYagravej atilde aumlocirc cent aagravejOcircaacute uacuteucirc thorn yuml uuml thorn otilde)yuml a2atildeshyszligaumlFj THORN

uumlnyacutenthornnyumll13YSordmY_F

f $amp)(+-)013021+345627893lt=gt9A6CB5OOtilde[Ph^eJLh H [bn[]ZaringKj H J H MJ0^eJLhQVUiN H QVUPJy[SX H MJNtildebnhQ H JLhdQR[]Olaquoocirc aagraveje H MJNtilde^QcYbn[]O H QcOBjWVQ H QcJUY|ZtimesjY H JkWKfcQcbLQ H fVmIacutecentEgraveJ H N`PJUOQcO H [IacuteNPbLbn[]jO H ^ not [Ph(YZjbdM NIacuteKjehZKEgrave[]YJSeSWFJ5hY HhZJUbLNPfsf-N[PJUOeJLhNPf H MeJL[PhJZbn[]ObnJLhOQcO[ H MeJUacute^eJLhQVUiN H QVUPJ[SX9N H QZOslashJnV4^eJLKEgraveJUO^JUO HbnhQ H JLhQR[]OO^9J H jY(^eJ-OeJyOumlcopytimesaagravejNPYNOslashhZJ[]Qc[]OQcObLfcj^eJU^QcO H [regOumlordf^yacute5 q Ntilde_ f^1ltuumlStimesBiexcl centpoundcurrenyencurrenbrvbarsectumlordfcopynotlaquo3shyyenLregmacrcurrenRlaquodegcurrenbrvbarlaquo Oumlplusmna s szligsup2|iexcljsup3acute Rlaquomicromiddotparagtltocirc|aagravejOcircaacute w thorn yuml uumlStimesYa2atildeltszligaumlgtszligYagravej atilde auml~sup3cedilsectsup1ltlaquoordm ocirc agrave aacuteocirc7raquodaagravejOcircaacute thorn yuml aelig uumlStimesaelig agrave atilde auml uacutefrac14 thorn yuml uumlStimesYafrac34frac12 eacuteAgraveiquestsup1AacuteAtildeAcircYj THORNAuml sectsup1ltAringPfrac12AEligreg(centsectsup1Ccedilbrvbar_paracurrenyenshyltregLLEgraveacutecurrensup2uml aelig Oumlcopytimesaagravej RlaquomicroeacuteAgraveiquestsup1AacuteAtildeAcircEacuteregEcirccentsectsup1copysup1laquoregEumlreg(laquo Auml brvbarAringsup2microacutelaquocurrenRAringordfpound RparaIgravecurren aelig Oumlcopytimesaagravej_IacuteMJ^JLhQVUiN H QVUPJ[SXshyocircWQ H MaelighZJUYZK=JUb HampH [yagraveaeligQcY H MJyacute0jfRJLhdQcNPOIacute^JLhQVUiN H QVUPJ([SXocirc|adOumlcopytimesAjQcO H MeJOtilde^QRhJUb H QR[]O [SXEumlfrac12umleWMQcbdM bn[]ZaringKj H N H QR[]O QcY[]QVUPJUO QsO iexclKKEgraveJUO^Qkaring ^FMeJUiNihQcN H QR[]Oeuml[SX5ocirc QcYOtilde^jeJ H [ H MeJUiNihQcN H Qc[]O[SX H MeJordmXiacutejOb H QR[]ONPfOcircuuml]timesa2atildeltszligaumlgtszligYagravejaumlNPO^H [ H MeJgZOslash[ H Qc[]O[SX H MeJOtildeQcO H J[PhNPf^e[]ZaringNPQsOOumlutimesaagravej^ Y(Naeligbn[PhZ[]fcfcNihYm [SXltMJL[PhZJZfeFWFJordf[PJ H aringv q q shy9 5lt f^yenIcirccopyNcentampcentcopyIuml-Iumlsup1currenfcentyenYsectnot -sectsup1Ymicro-currenRpound Rreglaquofrac34Oumlgaagravejampreg(centpound -microETHcopyIumliexclcurrensup2uml Auml currenCIuml RAringordfcentsup3yOuml timesOslash aagravejNtilde RlaquomicropoundOumlyacuteUgraveUacuteUumllaagravejOgravecentyenfrac34Iumlsup1 brvbarAringsup2 brvbarmicro_Egraveh iexclpoundYcurrenbrvbarCcedildreglaquoNOacutehreglaquo5_Aringumllt -shytYacuteaagravejAuml sectETHregmacrshy_sectOcircCcedilRltparaOtildecurrendshyltregLLEgraveregEcirccentyacuteeumlEumlIacuteOumlsectsup1Uumlordfcopynotlaquo3shyyenLregmacrcurrenRlaquouumlOa2atildeltszligaumlgtszligYagravejreg(centcentordfcopyIuml-Iumlsup1currenfcentyenmicroOcircIgravecurrenOcirccentltfrac34Iuml RAringsup2 -_paraEgraveshycurrenRlaquo5LreglaquocopycurrenRcopynotcentcedilreglaquoyOumlcopytimesOslashKaagravejW Rlaquomicro Ouml UgraveUcircUacuteUuml aagravej_copy3pound REgraveampJmicrobrvbarregEcirccentltshycurrenRlaquo5LreglaquocopycurrenRcopynotcentJ -shyltAringPcurrenfcentcentYacuteaagravej_Iacutetimes Agravelaquocurrenbrvbaruuml thorn times Oslash yuml Rlaquomicroruuml thorn UgraveUcircUacuteUuml yuml sup3sectsup1Ccedilf brvbarparacopy5iexclcurrensup2umlwuumlreglaquoOslashAringordfcentIumlshydLreg(Ccedilbrvbar_paraEgraverOumlutimes OslashaagravejAgrave Rlaquo3microOuml UgraveUcircUacuteUuml aagravej_IacuteUgraveOumlsectNcopyNcentampsectmicroETH_Aringordfreg(CcedilR brvbarLregCcedilRcurrensup2umlordfocirc|aagravej Auml AringregLordfcent fcent_ordm

ocirc7raquo)aagravejOcircaacuteUacute thorn yuml aelig uumlaelig agrave atilde auml uacutefrac14 thorn yuml uumlOaLUcirc eacute iquestsup1Aacute j THORN uacuteucirc thorn yuml uumlNaeuml eacuteHj THORNAuml sectsup1ltAringPacute uumlNAringfrac34Iuml3AringP_centlt_laquocentYsectUumlordfcopysup1poundUgraveIumlcurrensup2umlguumlh -shyltAringPcurrenfcentcentordfYacuteaagravej_ordmW uumlNaacuteacircuuml thorn UgraveUacuteUuml yuml uuml thorn times Oslash yuml sup3eacute sectsup1ncopynotlaquo5reglaquo3currenRAringpound RparaIcirccurrensup2umlordfYacuteaagravejmicrobrvbarreg(AringshydmicroampumlAringPcurrenRpound Ouml UgraveUacuteUuml aagravejIgravecurrenOumlutimes OslashKaagravejsup3eacuteAgraveiquestsup1Aacutesectcopysup1laquoregLEumlreglaquo Auml RAringPmicroOcirclaquocurrenRAringordfpound Rpara1Igravecurren aelig Oumlgaagravejj RlaquomicroUcircYacutesectsup1jCcedilbrvbar_paracurrenyenshyltregLLEgravenCcedilbrvbarshydIgravecurrenRAringjcurrensup2uml_Oumlyaagravej_Iacute

plusmngLMOMraquo aring JbLNPO NiKKfVm MJL[PhZJZ f H [ H MeJ ^[]ZaringNPQcO Oumlutimes OslashaagravejaringNPO^ H [ H MeJ^e[]Z NPQcOtOuml UgraveUcircUacuteUuml aagravej^ ^^QcO[ H MeJ H WF[aringJjN H QR[]OYeFWFJOtilde[Pcent H NPQcO H MeJTbn[PhZ[]fcfsNihYmS^ H QcYIacuteOe[WY H hNPQ[]M H Xiacute[PhYWNih^ H [[PJ HtimesH MeJ ^eJLhdQVU~N H QUPJ [SX H MeJ bnhQ H JLhQR[]O ocirc aagravejaringWFJ H N`PJ5OumlyaagravejOcircaacuteAumlOuml H MeJiexclQZaringN[PJ^e[]Z NPQcOta not QV[^ j^MJUOOePcentmaeligJkWKfcQcbLQ H fVm H N`WQcO[

uumlnyacutenthornnyumll13YSordmY_FY

yenKbrvbarsect =4 acirc $ fH MeJtimes^QcYZbn[]O H QcOBjQ H QRJUY(QsO H [ NPbLbn[]jO HUacuteH MNPOF`BY H [ H MeJtimesbn[PhZ[]fcfcNihlmSe H MeJtimes^eJLhQVUiN H QVUPJ[SXocirc aagravejQcYcopy[]QVUPJUOacentmKaring

ocirc raquo aagravejumlaacute uacuteucirc thorn yuml uumlNaeuml eacutej THORN uacutefrac14 uumlOaLUcirc eacuteAgraveiquestsup1Aacutej THORN $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde auml thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afj

q centUWQR[]jYZfVmSe H MeJ7YJUbn[]O^ H JLhlZ [SX H MeJ7^eJLhQVUiN H QVUPJ afjaQcYcurrenLJLh[ YZQcObnJ H MeJJk H JLhONPf(centEgrave[]jO^NihYm aelig OumlD[SX H MeJ`QZaringN[PJaQcYkBJU^^OcircJLKfcNPbLQsO[` uumlN_WQ H MQ H YJkWKhZJUYZYQR[]OOeWNtildeJyO^Oaring

ocirc7raquo aagravejumlaacute uacuteucirc thorn yuml aduuml thorn UgraveUcircUacuteUuml yuml1 uuml thorn timesOslash yuml jaeuml eacuteHj THORN $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde auml thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afmacr]jMJUacute^JLhQVUiN H QVUPJOtilde[SXocirc cent aagravejQcY(bLfcNPYZYQcbLNPfdaring

ocirc7raquocent aagravejOcircaacute uacuteucirc thorn yuml a uuml thorn otilde)yumld huuml thorn otilde)yuml7 eacutejaeuml eacutej THORN af]jWMJLhZJ a2atildeshyszligaumlKszligYagravejQcY H MeJaumlbLjehlU~N H jehJ[SXQYacutea2atildeltszligaumlgtszligYagravej^MeJLhZJXiacute[PhZJSe H MeJOtilde^eJLhQVUiN H QVUPJ[SX H MeJgWM[]fRJOtildebnhQ H JLhQR[]O QsY H MeJordfXiacute[]fcfR[WiexclQcO[aring

ocirc raquo aagravejpoundaacute $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde aumlamp thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afzSj uacuteucirc thorn yuml aduuml thorn UgraveUcircUacuteUuml yuml uuml thorn timesOslash yuml uuml thorn otilde)yuml huuml thorn otilde)yuml eacutejaeuml eacutej THORN

^ ^~THORNUgrave2FEgraveOIgraveIcircIcirclt2EacuteltOacute Eacute0frac34ETH9Igrave8shyIgraveFEgraveEcirc+NtildeFETH3Ecirc+ltIgraveNtilde7==EacuteltEgrave7813Oacute14 ETHOEacute ETH9IgraveOacuteszligltOacuteshyEacuteOacuteAgrave+QIgraveFEumlEacuteAtilde=13ETH+ltIgrave5=KETHOEacuteshyEgravesup1euml5Oaelig[Ph^eJLh H [Tbn[]ZaringKj H J H MeJuUPJUfR[WbLQ H mUPJUb H [PhcopyeumleSWNtildeJMNUPJ H [yZ N`PJQ H NiKKEgraveJUNihyQcOH MeJhY HH WF[ ^e[]Z NPQcOaQcO H J[PhNPfcYiexcl[SX afzSjcentmJkWKhZJUYZYQcO[ H MeJZ NPY_XiacutejOb H QR[]OY[SX H MeJgUPJUfR[WbLQ H meumlQ^iexclJLhZJiexclWFJ H N`PJ H MeJ5[PJUOeJLhNPfbLNPYZJ5WiexclMeJLhZJ H MeJ^JUYZbnhQRK H [PhdYZaringNm ^eJLKEgraveJUO^ []OXiacuteJUN H jehZJUY5[]fR[PcentNPfsfVmN HH NPbMeJU^ H [ H MJtimeshJ[]QR[]OeumlNPO^eumlY[oZ Nm`^JLK=JUO^a[]O agrave^ JZOslash[W^eJUf$JUNPbdM^eJUYZbnhQRK H [PhIacuteNPYtimesNabn[]ZIacutecentQcON H QR[]OOacute[SXuXJUN H jhZJUYy[]fc[PcentNPfcfVmeumlN HH NPbMeJU^

uumlnyacutenthornnyumll13YSordmY_F

f $amp)(+-)013021+345627893lt=gt9A6CBH [ H MJOtildeJUP[]fVUBQsO[OslashhZJ[]QR[]OY_OumlcopytimesOslashKaagravejF[Ph_Ouml UgraveUacuteUuml aagravejaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejpoundaacuteAElig thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn timesOslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejszligiumlViumlViumlVszligagrave thorn timesOslash yumlaacute aagravejjuuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszligYagravejpoundaacuteAElig thorn UgraveUcircUacuteUuml yuml a2atildeltszligaumlgtszligagrave thorn UgraveUcircUacuteUuml yuml aagravejszligagrave thorn UgraveUcircUacuteUuml yumlcent aagravejszligiumlViumlViumlVszligagrave thorn UgraveUcircUacuteUuml yumlacirc aagravejjafi]j

WMJLhZJSaring agrave thorn(atilde yumlauml aacute 7aring thorn yuml5aelig thorn(atilde yumlauml a2atildeltszligaumlgtszligYagravej atilde auml WQ H Mpounda jOcircaacuteacircaVltjF[Pha Kf5 jiuml afh]j9J H jYuhY H bn[]ZOslashKj H J H MeJIacute^eJLhQVUiN H QVUPJOtilde[SXuuml thorn timesOslash yuml eFWFJgO^Oaring

aelig uuml thorn times Oslash yumlaelig agrave aacute aacuteccedilaumlegrave aelig thorn timesOslash yumlaelig agrave thorn times Oslash yumlauml a2atildeltszligaumlgtszligagrave thorn timesOslash yuml aagravejszligiumlViumlViumlVszligagrave thorn timesOslash yumlaacute aagravejj aelig agrave thorn timesOslash yumlaumlaelig agrave aagravej a s j J MNUPJOe[W H [bn[]ZOslashKj H J H MeJ ^eJLhdQVU~N H QUPJ [SXagrave thorn timesOslash yumlauml NPbLbn[Ph^QcO[ H [umlagrave^ JNiKK-fVm H MeJgMeJL[PhZJZigravefaumlNPO^WNtildeJy[PJ H aring

aelig agrave thorn timesOslash yumlaumlaelig agrave aacute $ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde auml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacutej THORN a fj

JLKfcNPbLQcO[ H MeJNtilde^eJLhdQVU~N H QUPJUY9[SX3agrave thorn timesOslash yumlauml WQ H M H MeJUQRhJkWKhZJUYZYZQc[]OYa fj9QcOa s jeSWFJ[Pcent H NPQsO H MJXiacute[]fcfR[WQcO[iexclJkBKhJUYZYZQR[]OX[Ph H MJF^e[]Z NPQcOaeligQcO H J[PhdNPf[SX H MeJ^eJLhQVUiN H QVUPJ[SX H MeJT^eJUYbnhQRK H [Ph uuml thorn times Oslash yuml aring

$ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde aumlacircaacute aacuteccedilaumlordfegrave -eacute thorn timesOslash yumlauml $ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde auml

aacuteccedilaumlordfegrave eacute thorn timesOslash yumlauml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacuteHj THORN a S jWMJLhZJSaring

eacute thorn timesOslash yumlauml aacute $ thorn yuml aelig thorn timesOslash yumlaelig agrave thorn timesOslash yumlauml a2atildeltszligaumlgtszligagrave thorn timesOslash yuml aagravejszligiumlViumlViumlVszligagrave thorn times Oslash yumlaacute aagravejj atilde auml a ]jMJIacuteJkWKhZJUYZYQR[]OwXiacute[Pha jyacuteaacute a Kf jiexclQcYbn[]ZOslashKj H JU^QsO H MeJaeligYZNSZOslashJordmZaringNPOOeJLhiexclWMQcfRJKNmBQsO[N HH JUO H Qc[]O H [ H MeJ`^QRhZJUb H QR[]O[SX H MeJ`Oe[PhlZaringNPfcopyUPJUb H [PheNPO^rWFJ H MBjY

uumlnyacutenthornnyumll13YSordmY_Fsup2

yenKbrvbarsect =4 acirc $ fmacr[Pcent H NPQsO H MeJg[PJUOeJLhNPfgJkBKhJUYZYZQR[]OXiacute[Ph H MeJauml^JLhQVUiN H QVUPJOtilde[SXocircOcircaagravejaring

ocirc raquo aagravejumlaacute uacuteucirc thorn yuml aduumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn times Oslash yuml uumlgtthorn otilde)yuml d hreguumlgtthorn otilde)yuml eacuteHjaeuml eacutej THORN aacuteccedilaumlordfegrave eacute thorn timesOslash yumlauml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacuteHj THORN acircccedilaumlordfegrave eacute thorn UgraveUcircUacuteUuml yumlauml uacuteucirc thorn yuml aelig thorn UgraveUcircUacuteUuml yumlauml aeuml eacutej THORN aacuteccedilaumlordfegrave -eacute thorn timesOslash yumlauml $ thorn yuml aelig aelig thorn

timesOslash yumlaumlaelig agrave atilde auml acircccedilaumlordfegrave eacute thorn UgraveUcircUacuteUuml yumlauml thorn yuml aelig aelig thorn

UgraveUcircUacuteUuml yumlaumlaelig agrave atilde auml a j^ ^ecirccopyEgraveEacuteshyIacuteIumlETH39shyIgrave8shyIgraveFEgraveEcirc+NtildeFETH3gt+QIgraveETHOEacute3iexclNtildeshyEgrave78QIcircETH9IgraveumlIgrave+EacuteltEumlETHshyETHEacuteshyOacuterIgrave5euml1ONtildeFETH32EacuteltOacuteEacute10wETH9Igrave Ntilde=KETH3gt+ltIgrave=EacuteshyOacuteshyETHEacute1EgraveMJ[P[]NPf[SX H MQsYampKNih H QcY H [aumlbn[]ZOslashK-j H J H MeJ(JkWKhZJUYZYZQc[]Oaelig[SX H MeJuUPJUfc[BbLQ H mUPJUb H [PheumlwWMQcbdMregZaringN`PJUY H MeJUacutebLjehYUPJJUP[]fVUPJOtildeNPYXiacuteNPY H NPYFKEgrave[]YZYZQRcent-fRJ H [WNih^Y(NZaringQcOQCZIacutejFZ[SX H MeJaeligbnhQ H JLhdQR[]Oumlocirc^KO`[Ph^eJLh H [ ^JU^jbnJ H MJyUPJUfR[WbLQ H mwUPJUb H [PhOtilde[SX H MeJaeligNPb H QVUPJbn[]O H []jehQXhZ[]Z H MeJF^eJLhQVUiN H QVUPJ0[SX H MeJNtildebnhQ H JLhQR[]OOeWFJMNUPJ H [5Z N`PJFNiKKEgraveJUNih H MeJUPJUfR[WbLQ H moUPJUb H [PhUacuteQcO H MJTfcNPY HH WNtilde[ ^e[]ZaringNPQcOaQcO H J[PhdNPfcY(centm JkWKhZJUYYZQcO[ H MeJZ NPYcentEgrave[]jO^NihYm QcO H J[PhNPfcY^FMQcYbLNPOaJUNPYZQcfVm centEgraveJauml^e[]OeJTjYZQcO[MJL[PhZJZigravefe-^[]ZaringNPQcOQcO H J[PhNPfcYbLNPOeumlNPfVWNmWYiexclcentEgraveJIacuteJkBKhJUYZYJU^ NPYcentEgrave[]jO^NihYm QcO H J[PhdNPfcY^gtiexcl[WFJUPJLheOXiacute[PhYZQCZOslashKfcQcbLQ H mSe-fcJ H jYbn[]OYZQc^eJLh H MeJaringbLNPYJUYgWMeJLhZJ H MeJUYJOslashfcNPY HH WNtilde[`QcO H J[PhdNPfcYOtildeNihZJJBjNPf H [currenLJLhZ[eOgraveWMQcbMaringMNiKKEgraveJUOYX[PhZOslash[]Y H hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhdQRK H [PhY^S5OH MN H bLNPYJSeNPbLbn[Ph^QsO[ H [ H MeJaeligQcOeJBjNPfcQ H m[SXvNPjbdMOgravemV G bdMOgraveWNih H currenSe H MeJXiacuteNPY H JUY H^eJUbnhJUNPYJa[SXocirc|aagravejOslashQcY [Pcent H NPQcOeJU^ XhZ[]Zecirca jOslashcentm bMe[B[]YZQcOF[beuml aacute ccedilyeacute WMQsbMfRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[aeligJUP[]fcj H Qc[]O JjN H QR[]OOaringaelig Yacuteaagravejaelig agrave aacuteFuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yuml uuml thorn otilde)yuml eacute aacuteccedilaumlordfegrave ETHeacute thorn timesOslash yumlauml aelig thorn timesOslash yumlauml acircccedilaumlordfegrave ETHeacute thorn UgraveUcircUacuteUuml yumlauml aelig thorn UgraveUcircUacuteUuml yumlauml lteacute a macr]jUcircX H MJ^eJUYZbnhQRK H [PhY$^e[TOe[ H ^eJLKEgraveJUO^times[]OregagravetaiacutehZJ[]QR[]OeV4QcO^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhYjeH MeJgiexcl hZJU^jbnJUY H [ H MeJordfXiacute[]fcfR[WQcO[aeligJkWKhZJUYZYQR[]OOaringaelig Yacuteaagravejaelig agrave aacuteigraveuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yumldn reguuml thorn otilde)yuml7 eacutelteacute a ]j

uumlnyacutenthornnyumll13YSordmY_FY

f $amp)(+-)013021+345627893lt=gt9A6CB JaeligbLNPO`O[ H QcbnJ H MN HH MeJtimes^eJLKEgraveJUO^eJUObnJauml[SX H MJIacute^eJUYZbnhdQRK H [PhY[]OwagraveeEgraveNPO^aY[ []OH MeJiexclbLjehYUPJJUP[]fcj H QR[]OOeQcO^jbnJUY0NP^^Q H QR[]ONPf H JLhlZaringYFQcO H MeJiexclJUP[]fcj H QR[]O JjN H QR[]O[SX H MJFNPb H QVUPJ(bn[]O H []jeh^SMeJNP^^Q H QR[]ONPf H JLhZaringYQX[]jO^IacuteQcOoa macr]jbLNPOOe[ H hZJUNP^QsfVmcentEgraveJtimes[Pcent H NPQcOeJU^ WMJUO H MeJOslash^mBONSZaringQcbLNPfampYZbMJZOslashJaringQcYOtildeQcO H hZ[W^jbnJU^eumlNX H JLh H MeJOslashbn[]ZaeligVKj H N H QR[]Oa[SX H MeJaelig^eJLhQVUiN H QVUPJaeligjYZQcO[o0jfcJLhVA9N[PhNPOF[PJIacuteJBjN H QR[]OY^MjYe-Q H QcY[SX=KhQZaringJOeJUbnJUYZYZQ H m H [TQcO H hZ[B^jbnJ H MeJ^mWONSZaringQsbLNPfeYZbMeJZaringJiexclQcO H [ H MeJbnhQ H JLhQR[]OQ H YZJUfVXiexclQcO[Phd^eJLh H [JUNPYZQsfVmsup1[PJ H H MeJUYJaNP^^Q H QR[]ONPf H JLhlZ Y QcO bLNPYJa[SXhJ[]QR[]OWV^eJLKEgraveJUO^JUO H ^JUYZbnhQRK H [PhdY^MNPO`BY H [ H MeJUYJeumlNP^^Q H QR[]ONPf H JLhlZaringYeWFJ`JUOYZjehZJH MeJordfXqNPY H JUY H JUP[]fcj H QR[]O [SX H MeJIacutebLjehYUPJ H [WNih^YiexclNZaringQcOQZIacutejZ [SX H MeJTbnhdQ H JLhQR[]OO^ JeumlbLNPO NPfcY[hZJZaringNihY` H MN H H MeJUPJUfR[BbLQ H m[SX H MeJ bn[]O H []jhQsOa macr]j bLNPOcentEgraveJ K=[]YQ H QVUPJ[PharingOeJ[]N H QVUPJS^|MQcYaeligNPO QcO H JLhZJUY H QcO[eumlKh[PK=JLh H mOacute[SXiexclhZJ[]QR[]OWVcent-NPYJU^NPb H QVUPJ bn[]O H []jehY^ q O H MeJ bn[]O H hNihYm H [ centEgrave[]jO^NihYmVcentNPYJU^7NPb H QVUPJ bn[]O H []jehdYehZJ[]Qc[]OWVcentNPYJU^7NPb H QVUPJbn[]O H []jehYOslashNPfcfR[WYZ[]ZOslashJKNih H Ytimes[SX H MeJ bLjehYUPJ H [YZMehQsO`WMQcfRJ[ H MeJLhY(JkWKNPO^O^FMjY H MeJaumlQcOQ H QsNPfcQVcurrenUN H QR[]O QcYfRJUYYbn[]OY H hNPQsOeJU^O^^ macr^iexclEacuteltIacuteETHNtildeFETHEacuteshyOacute Eacute10wETH9IgraveumlIgravesup1+shyEacuteltEumlETHETH3EacuteshyOacuterIgrave5euml1ONtildeFETH32EacuteltOacute0EacuteltEgravexIcircEacuteshyIacute5IgraveIgrave2shyNtildeshyIacuteEumlOgraveIgraveIcirclaquoEacute10C8ltIgraveIcircd=KEgrave(ETHEacuteltEgraveIcircMJu[P[]NPf[SX H MQsY$KNih H QsY H [timesbn[]ZaringKj H J H MeJiexclJUP[]fcj H QR[]O JjN H QR[]Oaring[SX H MeJNPb H QVUPJbn[]O H []jehOcircXiacute[Ph0Y[]ZOslashJ(JkeNSZOslashKfcJUY$[SX-hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhY^SgJ H jY H N`PJY[]ZaringJT^eJUYZbnhQcK H [PhY(^eJLKEgraveJUO^QsO[aelig[]O H MeJyZOslashJUNPOBSOtimesOslash [Phiexcl[]O H MeJgUiNihQcNPObnJjuFtimesOslash [SXH MeJOtildeJUP[]fUBQcOF[OslashhZJ[]QR[]OwOumlcopytimesOslashaagravejaringEFFG FFH SOtimesOslashKaagravejumlaacute iacute $ w$ thorn yuml Otilde atilde auml WiexclQ H M icirctimesOslashaacute w$ thorn yuml atilde aumlu centtimes Oslash aagravejsup1aacute iacute $ w$ thorn yuml aOtilde SOtimes OslashKaagravejj cent atilde auml^ macr^f^iumlordfcentltshyltAringordfregethIumlIgravecurrenRAringcentmicroETHfrac34IumlltlaquomicroRreglaquoNOacute]currenRlaquosectsup1jCcedilR RAringordfregL Rlaquo3shy JTbdMe[B[]YJ H MeJgXiacute[]fcfR[WQcO[OslashYJ H [SX^eJUYbnhQRK H [PhYaring

uuml thorn UgraveUcircUacuteUuml yuml ^e[BJUYOe[ H ^eJLKEgraveJUO^[]Owagraveuuml thorn timesOslash yuml aacutecntildeaLuOcenttimes Oslash j a zSjWMJLhZJampntildeaOgravejQsYNOslashKEgrave[]YZQ H QVUPJiexclXqjOb H QR[]O[SX$bLfcNPYYograve aj^MQcYiexclUPJUfR[WbLQ H mumlUPJUb H [PhOslashQcYaumlbn[]ZaringKj H JU^centmeumlhZJLKfcNPbLQsO[ H MeJ H JLhZaringYauml[SXga jgWQ H MH MeJUQch$JkBKhJUYZYZQR[]OY^ J hY H JkWKhZJUYZY H MeJ^eJUYZbnhQcK H [Ph|uuml thorn timesOslash yuml NPYyNTbn[]ZTcentQsON H QR[]O[SXamp^e[]ZaringNPQcOY(QcO H J[PhdNPfcYaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacutemiddot thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn timesOslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejjaacutecntildeoacute agrave thorn timesOslash yuml aagravejagrave thorn timesOslash yumlcent aagravejfocirc a i]j

uumlnyacutenthornnyumll13YSordmY_FPa

yenKbrvbarsect =4 acirc $ fzWMJLhZJSaring EFFG FFH agrave thorn timesOslash yuml aagravejpoundaacute w$ thorn yuml aOtildegta2atildeltszligaumlj SOtimes OslashaagravejjUcirccent atilde aumlagrave thorn timesOslash yumlcent aagravejpoundaacute w$ thorn yuml atilde auml a h]j O^ H MBjYaring aelig thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacuteacircaOtildeKa2atildeshyszligaumlFj S timesOslash aagravejjUcirccentaelig thorn timesOslash yumlcent a2atildeshyszligaumlKszligYagravej|aacute f ad s j Y5XiacuteNihaumlNPY H MeJOslash^e[]Z NPQcO`QsO H J[PhNPfsYUacute[SX H MeJOslash^eJLhQVUiN H QVUPJaelig[SX H MJXqjOb H QR[]OY aelig thorn timesOslash yumlaumlNihZJaumlbn[]ObnJLhOeJU^OeFWFJauml[Pcent H NPQsOOaringEFFFG FFFH w5$ thorn yuml frac14ltotildeouml $_divideoslashfrac14 atilde aumlordmaacute frac14ltugrave $frac14 w$ thorn yuml aOtildeKa2atildeshyszligaumlFj SOtimesOslashKaagravejj atilde aumlaacute sw5$ thorn yuml frac14ltotilde ouml $_divideacircfrac14 atilde aumlordmaacute s adfjMJ H JLhZaringY eacute thorn timesOslash yumlauml NPfcY[aringMNUPJ H [ cent=Jaumlbn[]ZaringKj H JU^OeNPO^tWNtildeJg[PJ H aringEFFFG FFFH eacute thorn

timesOslash yuml aacute w$ thorn yuml uacute ouml $_divideacircntilde raquo7ucirc uacute ouml $_divideoslashuacute ouml $_divideacircyacuteuuml atilde aumlaacutecntilde raquo aLu centtimesOslash jeacute thorn timesOslash yumlcent aacute w$ thorn yumlBthorn uacute ouml $_divideoslashthorn uacute ouml $_divideacirc yuml acirc ntilde raquo ucirc uacute ouml $_divideoslashuacute ouml $_divideacirc uuml atilde aumlregaacute u centtimes Oslash ntilde raquo aLu centtimes Oslash j

G QsObnJ H MeJOslash^e[]Z NPQcO`QsO H J[PhNPfsYiexcl[SX frac14ltotildeouml $ordfdivideoslashfrac14 NPO^ frac14ltotildeouml $_divideacircfrac14 NihZJaeligJBjNPf H [currenLJLhZ[poundadfjeWFJOtildebLNPO ^QRhZJUb H fVm bn[]ZOslashKj H J H MeJiexclUPJUfR[WbLQ H mregUPJUb H [Ph[SX H MeJOtildeNPb H QVUPJTbn[]O H []jehuXiacutehZ[]Za macr]jNPO^WNtildeJyO^Oaringaelig Yacuteaagravejaelig agrave aacuteuumlgtthorn timesOslash yuml uumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn otilde)yuml dacute uumlgtthorn otilde)yuml eacutentilde raquo aLu centtimes Oslash jaaOtilde SOtimesOslashj cent u centtimesOslash jcedilQeacute ad j5Otad jeOgraveWFJbLNPOaringhJZaringNihY` H MeJ(KhZJUYJUObnJ[SX H MJNP^^Q H QR[]ONPf H JLhlZntilde raquo aLuOcenttimesOslash jaaOtilde SOtimesOslashj cent u centtimesOslash jeacuteacirc^^ macr^ ^iumlordfcentltshyltAringordfregethIumlIgravecurrenRAringcentmicroETHfrac34IumlltlaquomicroRreglaquoNOacute]currenRlaquosectsup1jpoundn Rlaquo JTbdMe[B[]YJ H MeJgXiacute[]fcfR[WQcO[OslashYJ H [SX^eJUYbnhQRK H [PhYaring uuml thorn UgraveUcircUacuteUuml yuml ^e[BJUYOe[ H ^eJLKEgraveJUO^[]Owagraveuuml thorn timesOslash yuml aacutecntildeaOtilde S timesOslash aagravejj adS]j

uumlnyacutenthornnyumll13YSordmY_FPo

fi $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJampntildeaOgravejQsYNOslashKEgrave[]YZQ H QVUPJiexclXqjOb H QR[]O[SX$bLfcNPYYograve aj^ YKhZJUWQR[]jYZfVmSe H MeJlaquoUPJUfR[WbLQ H mfrac34UPJUb H [PhTQcYbn[]ZOslashKj H JU^eumlcentmhZJLKfsNPbLQcO[ H MJ H JLhZaringY[SXua jcopyWQ H M H MeJUQRh(JkWKhZJUYZYZQc[]OY^FMeJauml^JUYZbnhQRK H [Ph uuml thorn timesOslash yuml QcY(JkWKhZJUYZYJU^centmKaringuuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacutei thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn times Oslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejjaacutentildeoacuteOtilde agrave thorn timesOslash yuml aagravejagrave thorn timesOslash yumlcent aagravejfocirc adj

WMJLhZJSaring EFFG FFH agrave thorn timesOslash yuml aagravejpoundaacute w5$ thorn yuml Otildegta2atildeltszligaumlj atilde aumlagrave thorn timesOslash yumlcent aagravejpoundaacute w5$ thorn yuml atilde auml adSmacr]j O^ Y[aring aelig thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejOcircaacuteegraveOtildegta2atildeltszligaumljaelig thorn timesOslash yumlcent a2atildeshyszligaumlKszligYagravejOcircaacute f adS]jG QsObnJ H MeJordfXiacutejOb H QR[]OY aelig thorn timesOslash yuml NPO^ aelig thorn timesOslash yumlcent ^e[aringO[ H ^eJLKEgraveJUO^[]OtagraveeFWFJTMNUPJSaringEFFFG FFFH w$ thorn yuml frac14ltotilde5ouml $ordfdivideoslashfrac14 atilde aumlregaacute s

w$ thorn yuml frac14ltotilde5ouml $ordfdivideacircfrac14 atilde aumlregaacute s ad]zSjMJ H JLhZaringY eacute thorn timesOslash yumlauml NihZJ H MJUObn[]ZOslashKj H JU^eNPO^WFJauml[Pcent H NPQcOOaringEFFFG FFFH eacute thorn

timesOslash yuml aacute w$ thorn yuml thorn uacute ouml $ordfdivideacircntilde raquo7ucirc Otilde uacute ouml $ordfdivideoslashuacute ouml $ordfdivideacircyacuteuuml atilde aumlaacute thorn iacute $ w$ thorn yuml ntilde raquo aOtilde SOtimesOslashj atilde aumleacute thorn timesOslash yumlcent aacute w$ thorn yuml uacute ouml $ordfdivideoslashthorn uacute ouml $_divideacirc yuml acirc ntilde raquo ucirc Otilde uacute ouml $ordfdivideoslashuacute ouml $ordfdivideacirc uuml atilde aumlordmaacute ugrave $iacute $ w$ thorn yuml ntilde raquo aOtilde SOtimesOslashj atilde auml JUacutebLNPO H MeJUObn[]ZOslashKj H JUacute^QRhZJUb H fm H MJ_UPJUfR[WbLQ H mUPJUb H [Ph[SX H MeJUacuteNPb H QVUPJOtildebn[]O H []jhXiacutehZ[]Zigravea macr]j(NPO^WNtildeJyO^Oaringaelig Yacuteaagravejaelig agrave aacuteuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yumldacute uuml thorn otilde)yuml eacute aOtilde SOtimesOslashjicircFtimesOslash $ thorn yuml ntilderaquo)aOtilde SOtimesOslashjmiddotQeacute adSi]j

5O H MeJtimesKNih H QsbLjfcNihiexclbLNPYZJIacute[SXIcircntildeaOgravejuaacuteOslashScenteKWFJtimesMNUPJnntilde raquo aOgravejcopyaacute NPO^ H MeJLhZJXiacute[PhZJSeH MeJiexclNP^^Q H QR[]ONPf H JLhlZaringYebn[]ZaringQcO[gXiacutehZ[]Z H MeJ UiNihQcN H QR[]O [SX H MeJiexcl^eJUYbnhQRK H [PhYOcircWQ H MagraveeNihJJjNPf H [gcurrenLJLhZ[^[WNtildeJUPJLheWQsOordmZOslash[]Y H bLNPYZJUYe H MQsYyNP^^Q H Qc[]ONPf H JLhlZoslashQsYyOe[ H

uumlnyacutenthornnyumll13YSordmY_FPy

yenKbrvbarsect =4 acirc $ fhcurrenLJLhZ[^ not [PhaeligJkeNSZOslashKfRJSeampQVXUgraventildea]jaacute yuml Wiexcl cent eshyWiexclQ H MN`KEgrave[]YZQ H QVUPJ bn[]OY H NPO H eQWFJMNUPJSaring

ccedil aacuteFuumlgtthorn timesOslash yuml uumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn otilde)yuml uumlgtthorn otilde)yuml eacute aOtilde SOtimesOslashjicircFtimesOslash $ thorn yuml aOtilde SOtimesOslashj IcircAumlaOtilde SOtimesOslashj cent adSh]j^ ^~IacuteFEumlIgraveFIacute5IgraveFOacuteETHNtildeFETHEacuteshyOacuteAgraven13ETH9 ETH9IgraveumlEumlIgravesup1+ltIgraveFEumltIcircIgraveFETHbIacute5IgraveFETH9shyEacute18 YXqNih0NPY H MeJOBjFZOslashJLhdQcbLNPfeQZOslashKfcJZOslashJUO H N H Qc[]OtimesQsYybn[]ObnJLhOeJU^eSWNtildeJbLNPOZOslash[W^eJUf H MeJNPb H QVUPJaumlbn[]O H []jeh_WQ H MNPOJkBK-fcQcbLQ H KNihNSZOslashJ H JLhdQVcurrenUN H QR[]ObaN[PhNPO[]QcNPOXiacute[PhlZtimesjfcN~VH QR[]OKjaelig[Ph NPO QCZOslashKfcQcbLQ H []OeJraNtildejfRJLhQsNPO Xiacute[PhlZIacutejfcN H QR[]Ogtj^ G JLJra G J H MQcNPOOe5fhSh s jNPO^egraveaJUfcQcO[PJ HH J NPO^ _a[]O H N[]ON H e sSs fjX[PhaeligNPOQcO H JLhZJUY H QcO[eumlbn[]ZOslashKNihdQcY[]OcentEgraveJ H WFJLJUO H MeJ H WNtilde[ZOslashJ H M[B^Y^ iexclO[ H MeJLhOtildeQcO H JLhJUY H QcO[aringhJUBQRJW[]O H MeJtimes^Q=JLhJUO HZOslashJ H M[B^Y[SX$NPb H QVUPJIacutebn[]O H []jehQcY(Kh[PK=[]YZJU^ QcOpoundaw_[]O H N[]ON H J H NPfd^Ve sSs fj^iexclJLhZJSeWFJaumljYJ H MeJaumlfRJUPJUfYZJ H ZOslashJ H Me[W^ NiKKhZ[]NPbdM KhZ[PKEgrave[]YJU^centm q YMeJLhNPO^G J H MQcNPOa q YZMJLh NPO^ G J H MQcNPOe fhSiSi]j centj H hJ[]QR[]OWVcentNPYJU^ NPb H QVUPJeumlbn[]O H []jehdYZaringNmNPfcYZ[ centEgraveJQZOslashKfcJZOslashJUO H JU^7centmjYQcO[`XNtildeV4YK-fcQcOeJUYXiacute[PhaeligNPOJkWKfcQsbLQ H K-NihNSZOslashJnVH JLhQcurrenUN H QR[]O ayhZJUbLQc[]Y[ NPO^XNihfcNPj^Oe sSs fj^shyMJ`PJmeumlQc^eJUN [SX H MeJOslashfRJUPJUfampYJ HZOslashJ H M[B^QsY H [ QcO H hZ[W^jbnJaumlNPO`NPjkWQsfcQcNihYmXiacutejOb H QR[]O l a2atildeltszligaumlgtszligYagravejYZjbdM H MN H YacuteaagravejQcY H MJtcurrenLJLhZ[OacutefRJUPJUfYJ H [SX l ^OcircMJXiacutejOb H QR[]O l QsYaelig[SX H JUO bMe[]YJUO H [centEgraveJ H MeJYZQ[]OeJU^ ^QcY H NPObnJordfXiacutejOb H QR[]O[SXQYacuteaagraveje-NPO^ QsY H MeJUObdMNihNPb H JLhQVcurrenLJU^acentmKaring

YacuteaagravejOcircaacute a2atildeltszligaumljPO l a2atildeshyszligaumlKszligYagravejaacute s a2 s jMQcYOcirc0jfRJLhQcNPOordmXiacute[PhlZtimesjfcN H QR[]O KhZJUYZJUO H YFYJUPJLhNPfEgraveNP^UiNPO H N[PJUYga G J H MQcNPOOeKfhShS]j^not QRhY H fVmSe H MeJabLjehYUPJ l ZaringNmcenthJUN`[PhoZOslashJLhY[PJNPY H MJXiacutejOb H QR[]O l JUP[]fUPJUYeNPO^ H [PK=[]fc[S[]QcbLNPfbdMNPO[PJUYFNihZJ H MBjY$JUNPYZQsfVmOslashMNPO^fRJU^^ G JUbn[]O^fVmSe H MJJUP[]fVUWQcO[XqjOb H QR[]O l a2atildeshyszligaumlKszligYagravejNPfVWNmWY(hZJZaringNPQcOY(NlaquoXiacutejOb H QR[]O NPfcfR[WQcO[timesJltz bLQRJUO H OBjFZOslashJLhVQcbLNPfFYZbdMeJZOslashJUY^OcircMQRh^fVmSe H MeJ[PJL[]ZOslashJ H hQcb KhZ[PKEgraveJLh H QcJUYT[SX H MeJ bLjehYUPJSe$fcQV`PJ H MeJbLjehlU~N H jehJ NPO^ H MeJOslashOe[PhlZ NPfshyUPJUb H [PhordfJUfs^eacute e=bLNPO centEgraveJIacuteJUY H QZaringN H JU^euml^QRhZJUb H fmXiacutehZ[]Z H MeJTfcJUPJUfgYJ H XqjOb H QR[]Oaring aacute V ucirc l l uuml NPO^ eacuteecircaacute l l a2FfjMJJUP[]fsj H QR[]O JBjN H QR[]O H MeJUO centEgraveJUbn[]ZOslashJUYaringaelig l aagravejaelig agrave aacuteegraveccedilacute l a2 jMJregUPJUfR[WbLQ H msup1XiacutejOb H QR[]OxccedilEQcYIacutebn[]ZaringKj H JU^7[]OfVm[]O H MeJbLjehYUPJYacuteaagravejaumlcent-j H WFJbLNPO Jk H JUO^ Q H YFJkBKhZJUYZYZQR[]O H [ H MeJiexclWMe[]fRJUacuteQZaringN[PJOtilde^e[]Z NPQcOoOumlordf^[OslashQZOslashKfRJZaringJUO HH MeJIacutefRJUPJUf9YJ H ZOslashJ H Me[W^OeY[]fsj H QR[]OYuZtimesjY H centEgraveJgXiacute[]jO^ H [ bLQRhbLjZyUPJUO H Kh[PcentfRJZaringY

uumlnyacutenthornnyumll13YSordmY_FP

s $amp)(+-)013021+345627893lt=gt9A6CBbn[]ZaringQsO[ Xh[]Z H MeJpoundXqNPb HH MN H`H MeJYZQV[]OeJU^ ^QcY H NPObnJumlXqjOb H Qc[]O l QcYaOe[ H NY[]fsj H QR[]O[SX H MeJyiexcl a2 jeEgraveYJLJa []ZOslashJUYNPO^ not NPjF[PJLhNPYe sSsSs jyacuteXiacute[Phiexcl^J H NPQcfcY^5Oaelig[]jehWF[PhY`gte H MJuXiacutejOb H QR[]O l QcYamphZJUQsOQ H QcNPfcQcurrenLJU^TY[ H MN H Q H hZJZaringNPQcOYampNOtilde^QsY H NPObnJXqjOb H QR[]OenYZJLJ5aq jecentEgraveJLh H NPO^gcOtilde[PhdOeKhZ[PcentY H e sSs fJLcenthZJUjFUPJSe sSsSs jOXiacute[Ph^J H NPQcfcY[]O H MJOtildehZJUQcOQ H QsNPfcQVcurrenUN H QR[]O JBjN H QR[]OO^5Oeuml[Ph^eJLh H [QCZOslashKhZ[UPJaringOjFZaringJLhQcbLNPfJltz bLQRJUObmSeOWFJaringbn[]ZOslashKj H J H MeJOslashJjN H QR[]O[]O NIacuteONihhZ[Wcent-NPO^aringJUObLfc[]YZQcO[ H MJiexclfRJUPJUf s [SX H MeJUacutefRJUPJUf-YJ H XqjOb H Qc[]OO^ JUacuteNPfcY[jYZJZtimesjf H QRhZJUYZ[]fcj H QR[]O H JUbdMOQBjeJUYcentmZaringN`BQsO[ H MeJFNPb H QVUPJ(bn[]O H []jh$JUP[]fVUPJcopyhY H[]ONOslashfc[W hZJUYZ[]fcj H QR[]O QZ N[PJS^FMeJordfONPfbn[]O H []jeh[Pcent H NPQcOeJU^Xiacute[Ph H MQcYhJU^jbnJU^QZ N[PJaumlQcY H MeJUOjYJU^ NPYNPOQsOQ H QcNPfEgravebLjehYUPJordfXiacute[Ph H MJOtildehZJUNPfgYZQVcurrenLJaumlQCZaringN[PJS^

EparaacuteAgravegtmicrosup1acuteIKJcedilJT2MgtI MraquowMgtmicrosup1MAgravegtacuteIltacuteMgtPltAtilde iquest acuteAgravegtT2MKIshyAtildeAcirccedilAtildeacuteNicircMgtI cedilAEligMgtmicroOcircacuteOgraveJTCJT13MKI sup2OcircacuteJordfsacuteacuteI Jfrac14ltacutegcedilFLT2cedilIshyROgraveacuteAtilderaquoAMLBqoLacute13AtildeR]cedilsup32acute GmicrobcedilAgraveacuteAtilde5O H MQcYUacuteYJUb H QR[]OOeOWFJOslashKhZ[PKEgrave[]YJaeligY[]ZOslashJOslashhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhY H [YJ[iVZOslashJUO H M[]ZOslash[S[PJUOeJL[]jYiexclhZJ[]QR[]OYiexcl[]Ofrac34[PhZJmBYbLNPfRJIacuteQZ N[PJUY^gtMJUYJIacute^eJUYbnhQRK H [PhYiexclNihZJcentNPYZJU^[]O H MJZaringQcOQZaringQVcurrenUN H QR[]O [SX H MeJU~NihdQcNPObnJUYauml[SX H MJ H WF[`bn[]OYZQc^eJLhZJU^OacutehZJnV[]QR[]OY^ 5O H MJ7YJUbn[]O^ K-Nih H e H MJQZOslashKEgrave[Ph H NPObnJOacute[SX H MeJNP^^Q H QR[]ONPf H JLhZaringYebn[]ZaringQsO[XiacutehZ[]Z H MeJiexclU~NihdQcN H QR[]O [SX H MeJUacute^eJUYZbnhQcK H [PhYWQ H M H MeJiexclJUP[]fUBQcOF[IacutehZJ[]Qc[]OYeQcY9MQV[]MfcQ[]M H JU^O^ G QCZOslashKfRJJkWNSZaringKfRJUY9YMe[W H MeJ0QZOslashKEgrave[Ph H NPObnJ$[SX H MeJUYJ0NP^^Q H QR[]ONPfH JLhlZ Y H [ NPbMQRJUPJ H MeJOtildeJkWKEgraveJUb H JU^aYJ[]ZaringJUO H N H QR[]O^^f^laquoIgraveIcirc=KEgrave(FETHOEacuteltEgraveIcircEcircgtNtildeltIcircIgrave8 EacuteshyOacute ETH9Igravek+NtildeshyEgrave13NtildeshyOacute=KIgraveC0EacuteshyEgraveh4ltEgraveOIgravesup1QIcirc=NtildeltEumlOgraveIgrave2Iacute Ntilde4ltIgraveIcircMJQcO H JUOYZQ H mregXiacute[Phu[PhZJmWYZbLNPfRJaumlQZ N[PJUY(QcYhZJLKhZJUYZJUO H JU^centm NlaquoXqjOb H QR[]OOtilderegaringOgraveOumlOtilde 13ordfcentwntilde Otilde 13laquo^ JaKhZ[PKEgrave[]YJ H [bZaringQcOQZaringQVcurrenLJ H MeJU~NihdQcNPObnJUYOslash[SX H MeJ H WF[bn[]OYZQc^WVJLhZJU^ Me[]Zaring[S[PJUOeJL[]jY hZJ[]Qc[]OY QcO [Ph^eJLh H [YJ[]ZOslashJUO H H MeJZ^uMJXiacute[]fcfR[WQcO[^eJUYbnhQRK H [PhY(NihJaumlYZj[S[PJUY H JU^OaringEFG FH uuml thorn UgraveUacuteUuml yuml aacutecntildeaLuOcentUgraveUacuteUuml juuml thorn times Oslash yuml aacutecntildeaLuOcenttimes Oslash juuml thorn otilde)yuml aacutecb a2Ograve]jWMJLhZJjntildea]jQcYNOslashKEgrave[]YZQ H QVUPJordfXiacutejOb H QR[]O [SX$bLfcNPYZYEacuteograve aOtilde 13yj(NPO^kb`NOslashKEgrave[]YZQ H QUPJaumlbn[]OWVY H NPO H ^MJTbn[]ZOslashKj H N H Qc[]O[SX H MeJUPJUfR[BbLQ H mUPJUb H [PhaumlQcY^JU^jbnJU^tXiacutehZ[]Z H MeJIacutebn[]ZOslashK-j H N~VH QR[]O`[SX H MeJaelig^eJLhQVUiN H QVUPJIacute[SX H MeJtimesbnhdQ H JLhQR[]Opoundocirc7^eJUPJUfR[PKEgraveJU^ QcO G JUb^^ macr^feWMQsbMfRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[aeligJUP[]fcj H Qc[]O JjN H QR[]OOaringaelig Yacuteaagravejaelig agrave aacuteethntildeaLu centtimesOslash j ntildeaLu centUgraveUcircUacuteUuml jb ntilderaquo)aLu centtimesOslash jaaOtilde S timesOslash j cent u centtimesOslash j ntilde raquo aLu centUgraveUcircUacuteUuml jaaOtilde SUgraveUcircUacuteUumlj cent u centUgraveUacuteUuml jIcirc13eacute a2Sj

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ fMJiexclYZQcOF[]fRJiexclK-NihNSZOslashJ H JLhcopyWNtildeJOtildeOeJLJU^ H [aringNP^~ZjY H QcY H MeJUacuteYYZOslash[B[ H MQcO[timesKNihNSZOslashJ H JLhb^5OregXqNPb H e H MeJ X [W ethb MNPY H MeJiexclKhZ[PKEgraveJLh H QRJUYNtilde[SXYYZOslash[B[ H MQcOF[IacutecentEgraveJUbLNPjYJOtildeQ H ZOslash[UPJUYH MeJUacutebLjehYUPJUacuteQcO H MeJUacute^QRhZJUb H QR[]O [SX9Q H YfRJUOF[ H MregXqjOb H QR[]ONPfQa G Qs^^QBQeJ H NPfd^VeOfhShS]j^^ ^~IacuteEacuteltEgraveETHOgraveNtildeltOacute=KIgravefrac34Eacute10frac34ETH9Igrave Ntilde8182ETHEacuteshyOacuteNtildeshyEumlETHIgraveFEgraveOIacute5Icirc5O[Ph^JLh H [7JU~NPfcjN H J H MeJ QZOslashKEgrave[Ph H NPObnJ`[SX H MeJ`NP^^Q H QR[]ONPf H JLhlZaringYX[Ph H MeJYJ[]ZaringJUO H N H QR[]OeuWNtildeJpoundZaringN`PJ H MJeumlNPb H QUPJbn[]O H []jehaJUP[]fVUPJ H MehZ[]j[]M H MJ iexcla2SjeQsObLfcj^QsO[ H MeJaumlNP^^Q H QR[]ONPf H JLhlZaringY^ q O H MeJUacute[ H MeJLhMNPO^OeWNtildeJaumlNPfcYZ[ZaringN`PJQ H JUP[]fUPJfrac34WQ H M H MeJwXiacute[]fcfR[WQcO[ WhZ[]OF[JUP[]fcj H QR[]OJjN H Qc[]O H MN H ^e[JUY Oe[ HQcObLfcj^eJ H MeJaumlNP^^Q H QR[]ONPf H JLhlZaringYaringaelig Yacuteaagravejaelig agrave aacuteethntildeaLu centtimesOslash j ntildeaLu centUgraveUcircUacuteUuml j`b Qeacute iuml a2Ogravemacr]jnot [Ph H MeJOtildeJkWKEgraveJLhQZOslashJUO H YeWFJ H N`PJntildeaOgravejOcircaacute ILK KafcediliexclOgravejWMQsbM[]QVUPJUYntilde raquo aOgravejaacutefdOafcedil]j(NPO^ H MeJgUiNPfcjeJOtilde[SX H MeJaumlKNihdNSZOslashJ H JLhEacutebaQcY(YJ HH [frac34f s ^OcirckBKEgraveJLhQCZOslashJUO H Y NihZJ KEgraveJLhYX[PhZOslashJU^ []O NYmWO H MJ H Qcb`QCZaringN[PJumlZaringNP^eJeumljeK [SXTNPO

Me[]Zaring[S[PJUOeJL[]jYYYBjNihZJ[SX9QcO H JUOYZQ H mwf s []O NIacutecentNPbl`[PhZ[]jO^ [SX9QcO H JUOYZQ H mtf s ^ []NPjYZYZQsNPOOe[]QcYJUacute[SXUiNihQcNPObnJ s QcY(NP^^eJU^ H [ H MQcY(YmWO H MJ H QcbOtildeQZaringN[PJS^MeJOtildeJUP[]fcj H QR[]Oa[SX H MeJTNPb H QVUPJtimesbn[]O H []jehUacute^ehQUPJUOcentmpounda2SjQcYu[]QVUPJUO`QcO not QV[^ WMQcfRJ H MeJ[]OeJ`[Pcent H NPQcOeJU^ jYZQcO[ a2Ogravemacr]j QcYordm[]QUPJUO QcO not QV[^ ^ J bLNPO hZJZaringNihY`H MN H WMeJUO H MeJoiexclQsObLfcj^eJUY H MJ NP^^Q H QR[]ONPf H JLhZaringYe H MJ YYBjNihZJ QcYgWFJUfcfYJ[]ZaringJUO H JU^acirca not QV[^ ^bjeuWMeJLhJUNPYWiexclMeJUO H MeJ |iexclD^e[BJUY Oe[ H QsObLfcj^eJ H MeJUYJNP^^Q H QR[]ONPf H JLhZaringYwWFJ7[Pcent H NPQcO N bLQRhbLfcJOacuteQcOY H JUNP^ [SX H MeJ7JkBKEgraveJUb H JU^YYBjNihZJa not QV[^ ^bj^MeJUYJhZJUYZjf H YNtildebLNPOcentEgraveJcentEgraveJ HH JLh(jO^eJLhY H [[W^WMQcfRJNPONPfmcurrenUQcOF[ H MeJiexclUPJUfR[WbLQ H mUPJUb H [PhYUacute[SXNtildeJUNPbMJUP[]fsj H QR[]O JjN H QR[]OO^ Jaringbn[]ZOslashKNihZJ H MeJ H WF[ JUP[]fcj H QR[]OYiexcl[SXH MeJlaquoUPJUfR[WbLQ H mwUPJUb H [PhYauml^jehQcO[ H MeJaeligKhZ[PKN[]N H Qc[]Oeuml[SX H MeJOslashbLjehYUPJwa2WiexclQ H Me[]j HH MeJcentEgrave[]jO^NihYmVcent-NPYJU^ H JLhlZb j^MeJ(JUP[]fcj H Qc[]OOslash[SX H MeJNSZOslashKfsQ H j^eJ[SX H MeJyacuteUPJUfR[Wb|VQ H mregUPJUb H [Ph[SXQ|iexcla2SjFQsY[]QUPJUO QcO not Q[aqYj^ ^ ^OecurrenJSe Xfrac34]eWMQsfRJ H MeJOtildeNSZOslashK-fcQ H j^eJ[SX H MeJUPJUfR[WbLQ H mwUPJUb H [PhOtilde[SX||iexclacirca2Ogravemacr]jiexclQcY []QUPJUO`QcO not QV[aqYj^ ^ ^OecurrenJSe Xfrac34]^ JOslashbLNPO[PcentYZJLhYUPJ H MN HaringH MeJUPJUfc[BbLQ H msup1WiexclQ H Me[]j HaeligH MeJNP^^Q H QR[]ONPf H JLhlZaringY QcYaeligNbn[]OY H NPO HWMJLhZJ [PcentUWQR[]jYfVm H MJaQZaringN[PJfrac34XJUN H jehJUY ^e[OacuteO[ H NiKKEgraveJUNih^ q O H MeJabn[]O H hNihYmH MeJaumlQCZaringN[PJordfXJUN H jhZJUYuWFJUfcfNiKKEgraveJUNihQcO H MeJordfUPJUfR[WbLQ H m QcObLfcj^QcOF[ H MeJaumlNP^^Q H QR[]ONPfH JLhlZ Yya not QV[aqYj^ ^ ^OecurrenJSe Xfrac34jiexclNPO^ Y[ H MeJaumlYljNihJTbLNPO centEgraveJordfWNtildeJUfsfYJ[]ZOslashJUO H JU^O^MeJyKhZJUWQR[]jYEgravehJUYZjf H YgYMe[W H MN H Q H QcY[SXeKhQCZOslashJ$OeJUbnJUYZYZQ H m H [ H N`PJQcO H [NPb|Vbn[]jO H0H MJNP^^Q H QR[]ONPf H JLhZaringYeWbn[]ZaringQcO[XhZ[]Z hZJ[]QR[]OeV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhYeQcO[Phd^eJLh H [ hZJUNPbdMaN H hdjeJgZaringQcOQCZIacutejFZ [SX H MeJaumlbnhQ H JLhdQR[]OO^

uumlnyacutenthornnyumll13YSordmY_F

S $amp)(+-)013021+345627893lt=gt9A6CBEIumlparaacuteAgravegtmicrosup1acuteIKJcedilJT2MgtI MraquoordfAEligMgtsup32MLwMKmicrobMgtAgraveacuteIshyacuteMgtPltAtilde iquest acuteAgraveKT13MKIshyAtildeAcirclaquocedilFAtildeacuteNicircMKIJfrac14ltacutepoundAEligMAringcedilFLT2cedilIltR]acuteHcedilJLTOcircfrac12sup3T13ROgravecedilJT2MgtI JMAgraverltcedilFR]acuteacuteJacuteR]JT2MgtIicircT2ItT2NQacuteM paraacutePshyacuteIltR]acuteAtildeMQcY0K-Nih H ^eJUNPfcYWQ H M H MeJOtildeYJ[]ZOslashJUO H N H QR[]O [SXMe[]ZOslash[S[PJUOeJL[]jY(hZJ[]QR[]OYQcOZtimesjfuVH QcYZK=JUb H hdNPfQZaringN[PJUY^ YNPOaJkWNSZaringKfRJSeWFJIacuteYZMe[W H MN HiexclH MeJTbn[UiNihQcNPObnJZaringN H hQVkbLNPOacent=JIacuteNUPJLhYm KEgrave[WFJLhYXqjf H [B[]f H [ YJ[]ZOslashJUO H Me[]Zaring[S[PJUOeJL[]jYbn[]fR[PhiexclhJ[]QR[]OY^F5OXqNPb H e H MeJtimes^eJ H JLhlZaringQsONPO H [SX H MeJTbn[U~NihQsNPObnJZ N H hQkKhZ[UPJUY H [ centEgraveJIacuteNaringhJUfRJU~NPO Hbn[]fR[PhaelighZJ[]Qc[]O7M[]ZOslash[S[PJUOeJUQ H msup1ZOslashJUNPYZjhZJZOslashJUO H a G NPO[SWQcOeJ NPO^r[PhdOeJSeufhShSi]j^_`QcOQZ QVcurrenUQcO[ H MQcYjNPO H Q H m ZOslashJUNPOY H MN H WFJwWNPO HH [^eJUbnhZJUNPYJ H MeJeumlbn[]ZaeligVKfcJkWQ H m[SXUacuteNeumlhZJ[]QR[]Oa hdNmJ H NPfd^Ve sSs fampN H JUjke sSsSs j^MQcY H [B[]fuZaringNmKhdNPb H QcbLNPfcfVm cent=JaumljYJU^X[Ph XiacuteNPbnJtimes^eJ H JUb H QR[]OaQsO QZaringN[PJaumlYJBjeJUObnJUY^macr^f^laquoIgraveIcirc=KEgrave(FETHOEacuteltEgraveIcircEcircgtNtildeltIcircIgrave8 EacuteshyOacute ETH9IgraveAgrave=Eacute3+NtildeshyEgrave13NtildeshyOacute=KIgravefrac34Iacute_NtildeFETHEgraveEcirc20EacuteshyEgrave=EacuteshyEumlEacuteshyEgrave2Iacute Ntilde4ltIgraveIcircMJQcO H JUOYZQ H mxXiacute[Ph bn[]fR[Ph QCZaringN[PJUYaringQcYOslashhJLKhZJUYJUO H JU^centm7NpoundXiacutejOb H QR[]OOtildeegravearingOumlOtilde 13ordfcent ntilde Otilde 13 WMeJLhZJ Otilde aacute Otilde szligYOtildeOgravecentszligYOtilde13ordf ^iexclXm NPONPfR[S[SmAumlWQ H M H MeJOacuteY H j^Fm Xiacute[Ph[PhZJmWYZbLNPfRJFQZaringN[PJUYeWNtildeJZaringQcOQCZaringQVcurrenLJ H MeJNtilde^J H JLhlZaringQcONPO H [SX H MeJFbn[UiNihQcNPObnJcopyZaringN H hQVk[SX H MeJTbn[]OYQc^eJLhZJU^hZJ[]Qc[]OY^ J5ZaringNmaringNPYYZjFZOslashJ H MN H JUNPbdM bn[]fR[PhFhZJ[]QR[]Oacute13 QsYOcircZOslash[W^eJUfcfRJU^OslashcentmOslashNg[]NPjYYZQcNPO^QsY H hQRcentj H QR[]Oeuml[SXyacuteZOslashJUNPOiexclSegraveaacute S szligPS cent szligPS NPO^7bn[UiNihQcNPObnJZ N H hQk5^MeJKh[PcentNicentQcfcQ H maring^eJUOYQ H moXiacutejOb H QR[]O QcYu[]QUPJUO centm H MeJgXiacute[]fcfR[WQcO[aeligJkWKhZJUYZYQR[]OOaring

$ampamp aOtildejOcircaacute fa )( j +cent aq^J H ayacutejj cent JkWK- f aOtilde Sltj thorn aOtilde Sltj a2Ograve]jG [eZaringQcOQZaringQVcurrenUQcOF[ H MJbn[U~NihdQcNPObnJuZaringN H hQktimes^eJ H JLhlZaringQcONPO H [SX-NPOtimesJUP[]fVUWQcO[hJ[]QR[]ONiKKEgraveJUNihY H [OslashcentEgraveJNtimeshZJUfcJU~NPO HH [[]f H [ordmZaringN`PJ H MQcYFhZJ[]Qc[]O bn[]OUPJLhY[PJ H [WFNih^Y H MeJbLfR[]YZJUY H Me[]ZOslash[S[PJUOeJL[]jYbn[]fR[PhiexclhZJ[]QR[]OO^9J H jY$Oe[ H J timesOslash NPO^0copyUgraveUcircUacuteUuml H MJbn[UiNihQcNPObnJ5ZaringN H hQcbnJUYy[SX=hJUYKEgraveJUb H QVUPJUfVmordmOuml timesOslash aagravejNPO^tOuml UgraveUacuteUuml aagravejaring

atilde aacute213 u Patilde u centatilde u atildeu cent atilde u centcentatilde u cent4atildeu5 atilde u5centatilde u54atilde67 a2zSj

WMJLhZJSaringEFFG FFH u times aumlatilde aacute iacutefaring w aring thorn yuml aOtilde times S times atilde jaOtilde auml S auml atilde j atilde aumlS times atilde aacute iacutefaring w aring thorn yuml Otilde times a2atildeltszligaumlj atilde auml WQ H M aacuteiVIgraveOacute[Ph Kf5

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ J [PcentUWQR[]jYZfm`MNUPJacuteu times aumlatilde aacuteu auml timesatilde ^shy9J H jYaumlO[ H J ^eJ H a atilde j H MJ ^eJ H JLhlZaringQsONPO H [SXH MeJaumlbn[U~NihdQcNPObnJZ N H hQkWiexclMQcbMJkBKhJUYZYZQR[]O QcY H MJgX[]fsfR[WQsO[aring

^eJ H a atilde jumlaacute u Patilde u centcentatilde u 4atilde u centatilde u atilde u cent4atilde u Patilde u cent4atilde u cent4atilde u centcentatilde u atilde u atilde u 4atilde u centatilde u centatilde a2Ogravei]jnot jOb H QR[]OY [SX H MeJeumlbn[UiNihQcNPObnJpoundZaringN H hQk ^eJ H JLhZaringQcONPO H YNihZJ jYJU^ NPY hJ[]QR[]O^eJUYbnhQRK H [PhY^ JIacutebMe[B[]YJ H MJordfX[]fcfc[WQcOF[aeligYZJ H [SX$^eJUYZbnhQRK H [PhYaringEFG FH uuml thorn UgraveUcircUacuteUuml yuml aacute98ordfaq^eJ H acopyUgraveUcircUacuteUumlAjjuuml thorn timesOslash yuml aacute98ordfaq^eJ H a timesOslash jjuuml thorn otilde)yuml aacuteOslashb a2Ograveh]jWMJLhZJ8ordfaOgravejFQcYNOslashKEgrave[]YZQ H QVUPJiexclXiacutejOb H QR[]O [SXampbLfcNPYZYograve aOtilde 13yjFNPO^Cb`NOslashKEgrave[]YZQ H QVUPJOtildebn[]OWVY H NPO H ^gJ H jYNtildeOe[W WhQ H J H MeJJUP[]fcj H Qc[]OaringJBjN H QR[]O [SX H MeJiexclNPb H QUPJbn[]O H []jehcentmbn[]ZOslashK-j H QcO[ H MJIacute^QEgraveJLhZJUO HH JLhlZaringYiexcl[SX_a j^J H NPQcfcYiexcl[SX H MeJIacutebn[]ZaringKj H N H QR[]O bLNPOcentEgraveJgXiacute[]jO^QsOaNiKKEgraveJUO^QVk X5^gtMJaumlJUP[]fcj H QR[]O`JBjN H QR[]O[SX H MJIacuteNPb H QVUPJaeligbn[]O H []jhQcY H MJgX[]fsfR[WQsO[aringaelig Yacuteaagravejaelig agrave aacute8gaq^eJ H atimesOslashjj 8ordfaq^eJ H a UgraveUcircUacuteUuml jj`b admacr s jlt8Icircraquodaq^eJ H a times Oslash jgt= ccedil A B egrave aOtilde S timesOslash jaOtilde B5 S BtimesOslash jB^eJ H aDC EBtimesOslash ja fj BGFH amp^eJ H atimesOslashj48 raquo aq^eJ H atimesOslashjj 8Icircraquodaq^eJ H a UgraveUacuteUuml jgt= ccedil I B egrave aOtilde Eacute S UgraveUcircUacuteUuml jaOtilde B S BUgraveUcircUacuteUuml jB^eJ H aDC JBUgraveUacuteUuml ja fj BKFH amp^eJ H a UgraveUcircUacuteUuml j48 raquo aq^eJ H a UgraveUcircUacuteUuml jjcedil13eacuteMJZaringN H hdQkLC JBatilde QsY ^JU^jbnJU^icircXh[]Z H MJeumlbn[U~NihdQcNPObnJbZaringN H hdQkM atilde centm YZjeKeVKhJUYZYZQcO[ H MeJ uuml UumlON hZ[WENPO^ H MeJ I UumlON bn[]fcjFZaringO^MeJeumlfcNPY H Xiacute[]jeh fsQcOeJUY [SX H MeJJBjN H QR[]ONihZJ H MeJOtildeNP^^Q H QR[]ONPf H JLhZaringY(bn[]ZaringQcO[XiacutehZ[]Z H MeJiexclU~NihQsN H QR[]O [SX H MeJOtilde^eJnVYZbnhdQRK H [PhYWiexclQ H Mordmagrave^ Y0Q H MNPYycentEgraveJLJUOOslashKhJUBQR[]jYZfVmTKhZ[UPJU^X[Ph[PhZJmWYZbLNPfRJiexclQCZaringN[PJUYeH MeJUYZJ H JLhlZaringYMNUPJ H [ cent=Jaumlbn[]OYZQc^eJLhZJU^ QsO[Ph^eJLh H [regZ N`PJ H MeJTNPb H QUPJTbn[]O H []jhbn[]OUPJLhY[PJ H [WFNihd^YNZ QcOQZtimesjFZ [SX H MJTbnhQ H JLhQc[]OO^macr^ ^~THORNUgrave2FIgraveFEgrave2Iacute_IgraveFOacuteshyETHOgraveNtildeshyEumlEgraveOIgraveIcircdEumlETHOIcircnot [Ph H MJ JkWKEgraveJLhQZOslashJUO H YeQWNtildeJ H N`PJCntildea]jordmaacute ILK Kaf[]jgWMQsbMsup1[]QVUPJUYnntilde raquo aOgravejaacutefdOafWOgravej(NPO^8ordfaOgravejaacute ILK KafIcirch cent juWMQcbdMt[]QVUPJUY8 raquo aOgravejaacute ETHOafIcirch cent j^ JbdMe[[]YZJ bbaacute f s ^QMeJaringbn[]fR[PhtimesYKNPbnJ YJUfcJUb H JU^QcYaQPszlig l szligicirclaquojeltWMeJLhZJwaOtilde aacuteRPordmjhZJLKhZJUYJUO H Y H MeJfsjFZaringQcONPObnJNPO^waOtildeOgravecent5aacute l j$NPO^frac34aOtildeS aacuteOslashicircj$hZJLKhZJUYJUO HyH MeJ H WF[bdMehZ[]ZaringQcONPObnJUY^ not [Ph H MeJbn[]ZaringKj H N H QR[]OOslash[SX H MeJuUiNihQcNPObnJSei[]Ofm H MeJfcjZaringQcONPObnJQcY(jYJU^O^

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CB5Oaring[Phd^eJLh H [aeligYJ[]ZOslashJUO H NPO Me[]ZOslash[S[PJUOJL[]jY0hJ[]QR[]OOeOgraveWFJiexclY H Nih H WQ H M NPO QcOQ H QcNPf

bLjehlUPJ0QcOYZQs^eJ H MJ0hZJ[]QR[]Oauml[SXWQsO H JLhZJUY H ^MeJybLjhYUPJ0QcY H MJUOTYZjeKK=[]YZJU^ H [JkWKNPO^jO H Qcf(Q H hJUNPbMeJUY H MeJ centEgrave[]jO^NihlmOacute[SX H MeJabn[]ObnJLhdOeJU^ Me[]Zaring[S[PJUOeJL[]jYaringhJ[]QR[]OO^MJtimesbLjehlUPJtimes^e[BJUYUacuteOe[ H [P[cent=JmP[]O^ H MJUYJaeligcent=[]jO^NihQRJUYiexclYZQcObnJSe=[UPJLh H MeJLhZJSe H MeJbnhQ H JLhQR[]OOacuteQsObnhZJUNPYJUYtimescentEgraveJUbLNPjYJ H MeJU~NihdQcNPObnJOcircu centtimesOslash [Ph H MeJ bn[U~NihdQcNPObnJtZaringN H hQVk^eJ H JLhZaringQcONPO H ^eJ H atimesOslashjUcirccentOtildeQsObnhZJUNPYJS^MeJaringNPfV[P[PhQ H MZEcentNPYJU^[]O H MeJ bn[UiNihQcNPObnJZaringN H hQVkeumlQcYaumlK=JLhlX[PhlZaringJU^euml[]ONPOQZ N[PJ [SX H MeJUBQs^eJL[`YJBjeJUObnJrnN`WQVmP[]peumlQcO[Ph^JLh H [euml^eJ H JUb HaeligH MeJYKEgraveJUN`PJLhUTYXqNPbnJS^gtMJaumlJUP[]fcj H QR[]O[SX H MJIacutebLjehYUPJIacuteQcYu[]QVUPJUO QcO not QV[^ macr^gtMeJTbn[]O H []jehiexclJUP[]fUPJUYH [ONPfcfVmbn[]OUPJLhY[PJaelig[]O H MeJIacutecent=[]jO^NihQRJUY[SX H MJyXqNPbnJa not QV[^ macr^bj^OMeJyXiacuteNPbnJaeligQcYH MeJUONPbLbLjehdN H JUfVm YZJ[]ZOslashJUO H JU^^FMeJUacuteNSZOslashKfcQ H j^eJ[SX H MeJiexclUPJUfR[BbLQ H m QsYFNPfsY[laquo[]QVUPJUOQcO not QV[aqYj^ macr^ ^OecurrenJSe Xfrac34jNPO^WNtildeJUacutebLNPO [PcentYJLhYUPJ H MN HFH MeJ5XiacuteNPbnJUacutehZJ[]QR[]O QcYUPJLhYmWFJUfcf^eJUfsQZaringQ H JU^regXhZ[]Z H MJ[ H MJLhhZJ[]QR[]OY^MJ5UPJUfc[BbLQ H m[]QUPJUO QcO not QV[aqYj^ macr^ ^OecurrenJSe XQcObLfcj^eJUY H MeJNP^^Q H Qc[]ONPf H JLhlZaringYFbn[]ZaringQcOF[yXiacutehZ[]Z H MeJ5UiNihQcN H QR[]O [SX H MeJiexcl^eJUYbnhQRKeVH [PhY5WQ H Magrave`centj H ^e[BJUYOtildeOe[ H QcObLfcj^eJ H MeJaeligcentEgrave[]jO^NihlmVcentNPYZJU^ H JLhlZ WMQcbMeumlQcYUacuteNYYZaring[[ H MQsO[ H JLhlZ^KMeJtimesNSZOslashKfcQ H j^eJOtilde[SX H MeJyUPJUfc[BbLQ H maQcYiexclOe[PhlZaringNPfcQcurrenLJU^ centEgraveJ H WFJLJUOs NPO^ macrSmacre$YZjbdM H MN HTH MeJ OeJ[]N H QVUPJoU~NPfcjJUYIacuteNihZJ fR[WFJLh H MNPO f i`NPO^ H MeJKEgrave[]YZQ H QUPJ[]OJUYNihZJTMQ[]MeJLh H MNPOpoundf i^ J bLNPObn[]ZaringKNihZJ H MJ QcOQ H QsNPfUPJUfR[BbLQ H m[Pcent H NPQcOJU^jYZQcOF[ H MeJ bn[U~NihQsNPObnJZaringN H hdQk admacr s juWQ H M H MeJOtilde[]OeJOtilde[Pcent H NPQcOeJU^jYQcO[ H MeJordfUiNihQcNPObnJrega2Sj^KMeJordfXqNPbnJTQcYOe[ H WNtildeJUfsf9^eJ H JUb H JU^QcO H MeJUPJUfR[BbLQ H m[Pcent H NPQsOeJU^ajYQcO[ H MeJUiNihQcNPObnJa not Q[^ ^bjWMJLhZJUNPYIacuteQ H QcYIacutehZJUNPfcfmumlWNtildeJUfcfF^eJ H JUb H JU^QsO H MeJQcOQ H QcNPfUPJUfR[WbLQ H m7jYZQcOF[ H MeJbn[iVUiNihQcNPObnJpoundZ N H hQk a not QV[^ ^currencentj^_MeJ UPJUfR[WbLQ H m [Pcent H NPQcOeJU^ jYZQsO[ H MeJumlU~NihdQcNPObnJ^e[BJUYOe[ H NPfsfR[W NPOJltz bLQRJUO H YJ[]ZOslashJUO H N H QR[]O`[SX H MeJyXiacuteNPbnJauml[]O H MeJaumlbn[]O H hNihYm H [H MeJIacutebn[UiNihQcNPObnJlaquoZaringN H hQk^eJ H JLhZaringQcONPO H WMQsbM H N`PJUYUacuteNP^UiNPO H N[PJaelig[SX H MeJtimesbn[]fR[PhQcOFX[PhlZ N H QR[]OO^macr^ ^WVFEumlETH=gtNtildeFETH32EacuteltOacuterETHEacute`0Ntilde=KIgravek8ltIgraveFETHIgrave5=KETH32EacuteltOacute~2Oacute+(8ltIgraveEacute IcircIgrave5euml1IgraveFOacute=KIgraveIcircMJa^eJUYZbnhQcK H [PhYOslashcentNPYZJU^[]O H MJ`bn[UiNihQcNPObnJZaringN H hdQkNihJ`QZOslashK-fRJZOslashJUO H JU^ H [^eJ H JUb H MBjFZaringNPO XqNPbnJUYQcO UWQc^eJL[OacuteYJBjeJUObnJUY^MQsYaring^eJ H JUb H QR[]OegraveZaringNm cent=J`jYJU^Xiacute[PhtUWQc^eJL[ bn[B^QcO[ H [JUObn[W^eJYJUfcJUb H QVUPJUfVm H MeJOacuteMBjFZaringNPOegraveXqNPbnJS^ not [Ph`N []QVUPJUObn[]ZOslashKhZJUYZYZQR[]OOacutehN H QR[e H MeJoXiacuteNPbnJbLNPO7cent=J H hNPOYYZ Q HH JU^bWiexclQ H MN MQV[]MJLhThN H J H [H MeJ^eJ H hdQZOslashJUO H [SX H MeJcentNPbl`[Ph[]jO^O^uMQsY QsO H JLhZJUY H QcO[KhZ[PKEgraveJLh H m QcYUiNPfcjWVNicentfcJuX[PhUBQc^JL[Bbn[]OXiacuteJLhZJUObnJUYe]WMeJLhZJ H MeJ ZOslash[]Y H QZOslashKEgrave[Ph H NPO H NPO^regZOslash[]Y H U~NihdQcNicentfRJQcOFX[PhlZ N H QR[]OQcYfR[WbLN H JU^ []O H MJordfXiacuteNPbnJaq 5ZOslash[]Oe[]j`NPO^tUacutejMNSZaringJUfde sSsSs j^ J QcOQ H QcNPfcQVcurrenLJ H MJhdY H XiacutehNSZOslashJoWQ H M7N`bLQchbLfRJ QsOYZQc^eJ H MeJXqNPbnJ H [ H hNPbY`K^MJUOOeyacuteWFJsup1ZaringN`PJ H MeJNPb H QVUPJ7bn[]O H []jeheumlJUP[]fVUPJjYZQcOF[admacr s jeiexclWQ H MX8ordfaOgravejxaacuteILK KafUgravemiddot cent j^ltMeJregONPfybn[]O H []jehtimes[SX H MeJ bLjehZhJUO H QZaringN[PJ QcY H MeJUOOacutebdMe[]YJUO7NPYNPO QcOQ H QcNPfbLjhYUPJordfX[Ph H MJUacuteOJk H QZaringN[PJS^FMeJOtildeNPfV[P[PhQ H MFZMNPYcentEgraveJLJUOKEgraveJLhYXiacute[PhlZOslashJU^[]OYJUPJLhdNPf$YJjJUObnJUY^MeJaelighZJUYjf H Y5X[Ph H MJaeligYZJjeJUObnJpoundn5JLhQV`p NihJordm[]QVUPJUOQcOnot QV[^ethz^shyMeJaringKNihNSZaringJ H hZJ bMNPYaumlcentEgraveJLJUOYZJ HaumlH [sup1f s ^QMeJordmXqNPbnJ QcYordfWFJUfcfy^J H JUb H JU^NPO^ H hNPbY`PJU^times[]O H MJ|WMe[]fcJyYJjJUObnJS^MJyhZJUYZjf H YOX[Ph H MeJNtildeYZJjeJUObnJnN`WQVmP[]p

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ macrNihZJy[]QVUPJUO`QsO not QV[^ i^ JaeligbMe[B[]YJbaacute s ^ JtimesbLNPO`YJLJ H MN HH MeJXiacuteNPbnJaeligQcYuWFJUfcf^eJ H JUb H JU^aJUPJUOaQVX H MeJaumlbn[]fR[Phiexcl[SXMJLhYZMQRh H QsY(bLfR[]YJ H [ H MJgXiacuteNPbnJIacutebn[]fR[Ph^

YOEAEligMgtIltROgravesup3PshyAtildeT13MKI5O H MQcYKNiKEgraveJLheuWNtildeJKhZ[PKEgrave[]YJN OeJW 0jfRJLhQcNPOAumlZaringQsOQZaringQVcurrenUN H Qc[]OAumlZOslashJ H Me[W^ H [bn[]ZOslashK-j H J H MJUPJUfR[WbLQ H mpoundUPJUb H [Pharing[SXNPONPb H QVUPJ bn[]O H []jeh H MN H JUOYZjehZJUYtimesQ H WQcfcfJUP[]fVUPJ NPYordfXiacuteNPY H NPYOtildeKEgrave[]YZYZQRcentfcJ H [WNih^YIacuteNZaringQcOQCZIacutejFZ [SXN bnhQ H JLhQR[]OeumlQcObLfcj^QcOF[centEgrave[ H MUacutehZJ[]QR[]OeVcentNPYJU^TNPO^OtildecentEgrave[]jO^NihYmVcentNPYJU^ H JLhlZ Y^ q jehgNiKKhZ[]NPbMIacuteQcYcentNPYZJU^Otilde[]OYZMNiK=J[PK H QZaringQVcurrenUN H Qc[]OOslashKhQcObLQRKfRJUY$NPO^ QcYyKEgraveJLhYXiacute[PhlZOslashJU^ QcO H MehZJLJ5ZaringNPQcO Y H JLKYaringf^ltO H hZ[W^jb H QR[]O[SX$NOslash^mWONSZaringQcbLNPfYbMeJZOslashJIacuteQcO H MeJTbnhQ H JLhQR[]OOe ^vF[]ZOslashKj H N H Qc[]Oaelig[SX H MeJ_0jfRJLhdQcNPOaelig^eJLhQVUiN H QVUPJ[SX H MJbnhQ H JLhQR[]OOslashjYZQcO[OtildeYZMNiKEgraveJ

[PK H QZaringQVcurrenUN H Qc[]O H [[]fcYe^vF[]ZOslashKj H N H Qc[]Oa[SX H MeJtimesJUP[]fcj H Qc[]OaJBjN H QR[]O`[SX H MeJaeligNPb H QVUPJtimesbn[]O H []jehiexclXiacutehZ[]ZH MeJT^eJLhQU~N H QVUPJS^

iexcl Ntilde _ cent G NPfcfR[WY H [hJUNP^QcfVm H N`PJNtildeQcO H [NPbLbn[]jO H9H MeJybLNPYJ0[SXBhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H^eJUYbnhQRK H [PhY H MN H NihZJo[]fR[PcentNPfcfVmN HH NPbdMeJU^ H [ H MeJ JUP[]fVUWQcO[ hZJ[]QR[]OYtimesNPO^Y[H MN H UiNihYm^jehQsO[ H MJaumlKhZ[PKN[]N H Qc[]O [SX H MJaumlbLjehYUPJS^ JTYMe[W H MN HH MeJgUiNihQuVN H QR[]O [SX H MeJUYJ^JUYZbnhQRK H [PhdY QsO^jbnJUYNP^^Q H QR[]ONPf H JLhlZaringYQcO H MeJeumlJUP[]fcj H QR[]OJBjN H QR[]Oeuml[SX H MeJaringNPb H QVUPJ bn[]O H []jeh^MJUYJ H JLhlZaringYgZtimesjY H Oe[ H centEgraveJlaquoX[Phl[P[ HH JUOQcO[Ph^JLh H [ hZJUNPbMeumlN H hjeJZ QcOQZtimesjFZ[SX H MeJtimesbnhQ H JLhQc[]OaNPYUacuteQ H MNPYcentEgraveJLJUOKEgrave[]QcO H JU^[]j H QsOJkBKEgraveJLhQZaringJUO H NPfEgravehZJUYjf H Y^

Yfrac34XiacuteNiheumlNPYeumlMe[]ZOslash[S[PJUOeJL[]jYeumlbn[]fR[PheumlhZJ[]Qc[]OY`YZJ[]ZOslashJUO H N H Qc[]OQsY`bn[]ObnJLhdOeJU^OeWFJKhZ[PKEgrave[]YJ H MeJ`bn[U~NihQsNPObnJfrac34ZaringN H hdQk^eJ H JLhlZaringQcONPO H NPY N^eJUYbnhQRK H [Ph^MQcYY H N H QsY H QcbLNPfhZJ[]QR[]OeV4^eJLKEgraveJUO^eJUO H ^JUYZbnhQRK H [PharingNiKK=JUNihdY H [centEgraveJN UPJLhlm7hJUfRJU~NPO HH [B[]fampNPO^eumlY[ Q H MNPYUacutecent=JLJUOeumlYZjbLbnJUYZYXqjfcfVm NiKKfsQRJU^ H [XqNPbnJaring^eJ H JUb H QR[]OQcOfrac34UWQc^eJL[YJBjeJUObnJUY^

iquest acuteraquoacuteLacuteIltR]acuteAtildeagraveIgravefrac14dEcircsup1Atilde5AringiquestLmiddotNtildeIumliquestUumlgIumlUTHORNampAtildeEacutecedilAtilde5AringAcircnAtilde|iquestaacuteIacuteIumlIZEgravefrac14Zcedilfrac12frac14dAringiEcirc]iquestfrac14draquoiEcirc[NtildeIumlagraveAringEacutePAtildecedilwAacute4] uacute_^J^J^ iquest)` igraveraquoLCcedilfrac14cedil4Ecircfrac14draquo~Ecirc(Auml|AringAacuteCcedilfrac14Zcedil4Ecirc

Agrave5AringcedilAcircnAtilde$AtildeAcircnAuml|frac12AringAacutesup1AumldraquoTAringAEligwsup1raquo~ordm(frac12Atilde5AcircnAtilde5frac12AEligwAtildeAacuteampIgrave(Atilde AacuteIcirc~AumlUEcircSaIumligraveraquo13] x4~rv p4PldrRtcoPl|Egraveod5v pv i4vodaumlx4shyl not vsectpqo v tu not Iumlcb$Auml|EacutePAtilde|iquestednfrac14Oumlifrac14draquoIuml

agraveIgrave(Aumldraquo~Auml|Aringiquest~igrave4IumlPfrac14raquoiEcircfWIumliTHORNampAringIcircifrac14Igrave(Atilde5frac12G] divideugrave|ugrave|ugrave iquest` igraveAacuteAtildecedil4frac14ZAacutesup1Acirc|AtildeNtildeEacute~frac14dAgrave4UgraveUCcedilEgravefrac14cedil4EcircUacuteAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoUacuteOgraveregAumldcedilIcirc~sup1Atildecedil4frac14cedilAgrave4Icirc~sup1currenEumlAgravefrac14dfrac12=CcedilEgravefrac14AcircnAtilde5frac12AtildeAacutesup1Igravefrac14ordm|AtildeAgrave5AumlUEcircsup1raquo~ordmIaIumlaeligigraveiacuteraquoS] x4rv p ildrRtcodil|ampod5v pv P4vOtildeodOslashx4shy(l not vFsectpqo v tu not Iumlg frac14raquo~Agrave5AumldAring~AcircnAtildecediliquestehEgravefrac14raquoifrac14|Ecircfrac14Iuml

agraveAringEacutePAtildecedilwAacuteiquest[NtildeIumlWfrac14raquoiEcircifWIuml13b$Aumldcedilraquo~OumlcedilAuml|EacuteAEligqAacute4] divideugrave|ugraveuacute iquestkj ldrregv shy(ldrRtcl|ipwonm5v shyNtildetuOslashtushyl not vampipwo4v tu not sect9ldp4rRtcl|Egravedt lv pv ~rRtRl|9vDm~lrRtcod~ldiTrreg~vUacutel| Uiexcloqnldp4tcldrRtRod~ iquestpoAumlIuml uacute_qEr IumlOslashagrave9Ouml~Oumlfrac12sup1AtildeEcircaacuteUacutefrac14AacuteIcirc~AtildeIgravefrac14Aacutesup1Agravefrac14dfrac12BatildeAgravesup1Atilderaquo~Agrave5Atilde5AElig5iquestPatildeOumlcedilsup1raquoordm|Atildecedil g Atildecedilfrac12frac14dordmIumlhEgravefrac14dAEligwAtilde5frac12frac12Atilde5AElig5iquest g Iumliquest~szlig0Iumleb$sup1Igrave(Igrave(Atilde5frac12Riquestifrac14raquoiEcirc[NtildeIumlatildefrac14dOumlsup1cedilAumlI] uacute_^J^Er iquest`s[Atilde5AumlUEcircAtilde5AEligwsup1AgraveFfrac14dAgraveAacutesup1AcircnAtildeyAgrave5AumldraquoUAacuteAumldAringcedilAElig_aIuml x4~rv p4PldrRtcodPldpoundUodUp4Pl|WoqodshyiUrv paumlumltutcodutet13v uacute+w iquestex uacuteyIrz^ Iuml

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CBh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34LiquestBagraveyIumlWfrac14raquoiEcircidIumlBTHORNampAringraquo~Agravefrac14raquo13] uacute4^z^J^ iquest`[ampfrac14Igrave(AtildeEumlcAacuteIcirc~Atilde5AumlcedilAtildeAacutesup1Agrave(sup1raquoUAacuteAtildeordmdcedil4frac14Aacutesup1AumldraquoaeligOgraveuAumldcedil0sup1Igravefrac14dordmdAtildeAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIuml xQ|||~pwl~ lnrRtcodNtildeodiexclsect9lrRrv p auml9Pl| ~tuyldi j l|4Utu]vx4~rvreg t not v P4v Iumlh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34Liquestgagrave0IumliquestIumlgatildeUAacute4frac14dsup1Eacuteiquest9frac14draquoiEcircdIuml9THORNampAringraquo~Agravefrac14raquo13] uacute_^J^ xiquest` THORNampAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeIacuteEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34iraquo~Ecircsup1raquo~ordmsup1raquoIgrave(AtildeEcircsup1Agravefrac14frac12iexclsup1Igravefrac14ordm|Atilde5AEligaringEacuteLfrac34Oacutesup1raquoLAacuteAtilde5ordmcedil4frac14Aacutesup1raquo~ordm ordmdcedil4frac14|Ecircsup1Atilde5raquoLAacute frac14raquoiEcirccedilAtilde5ordm|sup1Auml|raquo sup1raquoOgraveuAumldcedilIgravefrac14ZAacutesup1Auml|raquo13aIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu notI iquesteE ^4y rdugrave Iumlh=Icircifrac14raquoiquestBETHIumlWfrac14raquoiEcircIuml g Atilde5AEligwAtildeJ] dividedugravedugraveuacute iquest` agraveAgraveAacutesup1AcircnAtildeFAgrave5Auml|raquoLAacuteAuml|AringcedilAElig$Ccedilgsup1AacuteIcircAuml|AringAacuteNtildeAtilde5Ecircordm|AtildeAElig_aIuml xQ||k|~pwld lnrRtcododUacutex4shy(l not v9sectpqo4v 4tu notuU v divideJw iquest divide xJx ydividezrJr Iumlh=Icirc~Atilde5AEligwraquo~frac14dAring~EcirciquesthIumliquestfWIuml=szligAtildeOgraveYacutecedilIAtilde5ordm|sup1Atildecediliquestfrac14draquoiEcirc g Iuml5Z=AumldAring~frac12AtildeAacute4] uacute_^J^z^ iquest`currenatildeUAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12cedilAtilde5ordmdsup1AumldraquoAEligwraquoifrac14dUgrave|AtildeEumlsEacuteifrac14dAEligwAtilde5EcircAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquofrac14|Ecircfrac14dOumlAacuteAtilde5EcircFAacuteAumlyEcircsup1s]AtildecedilAtilde5raquoLAacute-Ouml~IcircLfrac34AEligwsup1Agrave5frac14dfrac12~raquoAuml|sup1AEligwAtilde9Igrave(AumlUEcircAtilde5frac12AElig_aIuml xQ||k|~pqld~ lnrRtco~$osect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4vt iquest uacute|uacute_q y~uacute|uacute xIumlh=Auml|IcircAtilde5raquoiquestIuml] uacute4^z^uacute iquest`currenmiddotraquofrac14dAgrave Aacutesup1Acirc|Atilde Agrave5AumldraquoLAacuteAuml|AringcedilIacuteIgrave(AumlUEcircAtildefrac12AEligtimesfrac14draquo~EcirceumlEacuteifrac14dfrac12frac12AumlLAuml|raquoAElig_aIuml odshyiUrv pumltutcod pwl Utc0ldix4shyl not vsectEgravepwo4v tu not x4shyl not vOtildePnv p rsldidtu not) iquest divideUuacuteduacuteydivideLuacute UIumlh=Auml|IcircAtilde5raquoiquestSIumliquestUumlIuml13ZEgravefrac14cedil4Ecircsup1raquo~AtildeAacuteiquestfrac14raquoiEcircoNtildeIumlagrave9frac34Lfrac14dAgrave4Icirc~AtildeJ] uacute_^J^z iquest`atildeUAringcedilwOgraveufrac14dAgrave5Atilde0cedilAtilde5Agrave5Auml|raquoAEligqAacutewcedilAring~AgraveAacutesup1AumldraquotimesAring~AEligwsup1raquoordmfrac14AgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilaumlIgrave(AumlUEcircAtilde5frac12AElig_aIuml igraveiacuteraquoS] Lsect=xQ|od5v pv P4v od vwodshy(v rRp tc j v rregodtimestuodshyiUrv pumltutco Iuml~atildefrac14raquoUacuteTHORNampsup1Atilde5ordm|AumliquesthEgraveagraveyIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquestEgraveUumlIuml] dividedugrave|ugravedugrave iquest`currenatildeAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquo Ouml~frac14cedilAgrave5Auml|raquoLAacuteAuml|AringcedilAEligUacutefrac14AgraveAacutesup1currenOgraveuAEligUacuteAtilde5raquosup1Igravefrac14dordmdAtildecedilsup1AtildeIacuteIgraveAtilde5Ecircsup1Agravefrac14dfrac12AtildeIacuteEcircfrac34UEumlraquoifrac14dIgrave(sup1ecircLAring~Atilde]ampfrac14Ouml~Ouml~frac12sup1Agravefrac14ZAacutesup1AumldraquoAtilde5raquoeumlAgravefrac14Zcedil4Ecircsup1Auml|frac12Auml|ordmdsup1Atilde raquoUAring~Agravefrac12Atilde5frac14dsup1currencedilAtildeJaIumlfIcircIuml THORNFIumlAacuteIcirc~Atilde5AEligwsup1AElig5iquestraquo~sup1AcircnAtildecedilAEligwsup1currenAacutefrac34`AumlOgraveosup1Agrave5AtildeEumliacuteatildeAumldOuml~Icircsup1Yacutefrac14NtildeagraveraquoLAacutesup1OumlPAuml|frac12sup1AElig5iquestPeacutecedil4frac14raquo~Agrave5AtildedIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquest|UumlIumliquestUaacuteIacuteIumlEZEgravefrac14cedilfrac12frac14dAring~Ecirciquest[NtildeIumlLagraveAringEacutePAtildecedilwAacuteiquest|frac14draquoiEcirc dIumlnTHORN$frac14ZcedilAgrave5Auml|AringcedilwAacute4] divideugrave|ugraveUuacute iqueste`currenatildeOuml~frac14dAgrave5AtildeEgraveAacutesup1Igrave(AtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14EumlAacutesup1AumldraquoUacuteAring~AEligwsup1raquoordmfrac12Atilde5AcircnAtilde5frac12AEligwAtildeAacutefrac14dAgraveAacutesup1AcircnAtilde$AgraveAuml|raquoLAacuteAuml|AringcedilAEligfrac14Ouml~Ouml~frac12sup1AtildeEcirciexclAacuteAumlFIgraveNtildefrac34LAumlLAgravefrac14Zcedil4Ecircsup1frac14dfrac12ordmnfrac14ZAacuteAtildeEcircOtildeatildeIf-UumlkhEgraveETHaIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu not t v rJw iquest)x qJ+y xJ ^ Iuml

THORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquest13iexclNtildeIumlfrac14draquo~EcircdIumlWaacuteAuml|raquoLAacute4frac14ordm|raquoifrac14ZAacute4] divideugrave|ugraveUuacute iquest` ETHBAumldOumlPAuml|frac12Auml|ordmfrac34Oslashfrac14raquoiEcircIacuteAEligwIcirc~frac14dOumlPAtildeAgraveAuml|raquo~AEligqAacutewcedil4frac14sup1raquoUAacuteAEligyAumldraquotimesOumlifrac14Zcedil4frac14EumlIgrave(AtildeAacutewcedilsup1AgraveOslashfrac14dAgraveAacutesup1AcircnAtildearingAgrave5AumldraquoLAacuteAuml|AringcedilAElig_aIuml odshy~rv pumltutcodldP x4shy(l not vPLv p4rsldPtu notcent) v divideJw iquestuacute_qnugrave4yiuacute4rUuacute Iuml[Auml|Igrave(Atilde5AElig5iquestpounddIumlfrac14draquo~EcircaringmiddotNtildeIumleacuteifrac14Aring~ordm|Atilde cedil4frac14dAElig_] divideugrave|ugrave|ugrave iquestcurren` szlig9Atilde5Agrave5Aumldraquo~Agrave5sup1frac12sup1raquo~ordmIacuteEcircsup1AEligqAacute4frac14draquoAgrave5AtildeOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligfrac14draquo~Ecircaeligfrac12Atilde5AcircnAtilde5frac12EgraveAEligwAtilde AacuteAElig_aIumlpoundUodUp il|WoqUacuteumltul|-odshyNtildeshyFU~tR4lrRtcodTldix4shyl not vampgvipv v rsldrRtcod ) iquest dividedugravez^+ydivideddividez Iuml[cedil4frac145frac34LiquestszligyIumliquestdIumlyen-Auml|Aringraquo~ordmiquestampfrac14raquoiEcircagrave0Iumlampagravesup1currenfrac34LAtildecedil4] dividedugravedugraveuacute iquest `aacutesup1raquosup1IgraveNtildeAring~Igrave Ecircsup1AEligwAgrave cedilsup1Igrave(sup1raquo~frac14Aacutesup1Auml|raquosup1raquoOgraveregAumldcedilIgravefrac14Aacutesup1AumldraquoAgrave5frac12Aring~AEligqAacuteAtildecedilsup1raquo~ordmI]Igrave(AumlUEcircAtilde5frac12sup1raquo~ordmTfrac14raquoiEcircOslashecircLAringifrac14raquoUAacutesup1Ocircfrac14ZAacutesup1Auml|raquoOslashCcedilgsup1currenAacuteIcirc ordm|frac14dAringAEligwAEligIgrave(sup1currenicircAacuteAringcedilAtilde5AElig_aIumlTigraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquest=atildePIumliquest=aacuteIacuteIumlkZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestEgravefrac14raquoiEcirc[NtildeIuml=agrave9Aring~EacutePAtildecedilwAacute4] dividedugrave|ugraveUuacute frac14Uiquest` agrave EumliacuteatildeUAacuteAtilde5Ouml frac14dfrac12ordm|Aumlcedilsup1currenAacuteIcirc~IgraveAring~AEligwsup1raquoordmcedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtilde=Agrave5Auml|raquoLAacuteAuml|AringcedilAEligeOgraveuAumldcedilAcircUsup1EcircAtilde5AumlAuml|EacuteUbrvbarqAtilde5Agrave AacuteAElig=EcircAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoSaIuml~igraveraquo13]psect xw j x4 sect odpDumlqo odUacutex4shy(l not v9Pl| ~tu5op j rRtushyvwdtclNtildex4rv pwlnrRtKndvy]v pntc4v IumliETHWfrac14dIgrave(OumlPAtilde cedilAtilde|iquestieacuteWsup1raquofrac12Yacutefrac14raquoiEcirc]Iumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquestUatilde]IumliquestUaacuteIacuteIumlUZ=frac14cedilfrac12frac14dAring~EcirciquestUfrac14raquoiEcirccopy[NtildeIumlUagrave9Aring~EacutePAtildecedilwAacute4] dividedugravedugraveuacute EacuteiquestA` szlig9Atilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14AgraveAacutesup1AcircnAtildegAgrave5Auml|raquoLAacuteAumldAringcedilAEligOgraveuAumldcedilAcircUsup1YacuteEcircAtilde5AumlaringAuml|EacuteUbrvbarqAtilde5Agrave AacuteOtildeAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo Ccedilgsup1currenAacuteIcircaAgrave5frac14dIgrave(Atildecedil4frac14OslashAgrave5AumldIgrave(OumlPAtilde5raquo~AEligfrac14ZAacutesup1Aumldraquo13aIumligraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquesteatilde]IumliquestWaacuteIacuteIumlZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestefrac14draquo~Ecirc[NtildeIumlBagraveAring~EacutePAtilde cedilwAacute4] divideugrave|ugraveuacute Agrave|iquestk` g sup1EcircAtilde5AumlUacuteAuml|EacuteUbrvbarqAtildeAgraveAacuteFAEligwAtildeordm|Igrave(Atilde5raquoLAacute4frac14Aacutesup1AumldraquoAring~AEligwsup1raquo~ordmIacuteAtilde5Aring~frac12Atildecedilsup1frac14draquo cedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAElig_aIuml igraveiacuteraquoS] x4rv p ildrRtcodil|yodv pwv P4vIacuteoodshyiUrv paumlumltutcod Iuml g frac14draquoAgrave5Auml|AringAcircnAtildecediliquestehEgravefrac14draquo~frac14|Ecirc~frac14UIumlbyfrac14dAEligwAElig5iquesteaacuteIacuteIumliquestWagrave0Iuml Ucirc sup1currenAacuteUgravesup1raquoiquestWfrac14raquoiEcirctimesTHORNFIumlWETHBAtildecedilOcirc5AumldOumlPAuml|Aringfrac12AumldAElig_] uacute4^ JUiquestk`currenatilderaquoifrac14UgravenAtilde5AElig_]WagraveAgraveAacutesup1AcircnAtilde(Agrave5AumldraquoLAacuteAuml|Aringcedil0Igrave(AumlUEcircAtilde5frac12AElig_aIumlx4~rv p4PldrRtcoPl|WpoundUop4PldWoqodshyiUrv pTumltutcod iquest ndivideUuacuteyUzndivide Iuml

aacuteUacutefrac14dfrac12frac12frac14|Ecircsup1ciquest~szlig0IumliquestedIuml]atildeUAtildeAacuteIcirc~sup1frac14raquoiquest~frac14draquoiEcircZIuml g Atilde5IgraveNtildeAringcedilsup1G] uacute4^z^ UiquestS`atildeUIcircifrac14OumlPAtilde$Igrave(AumlUEcircAtilde5frac12sup1raquo~ordm0Ccedilgsup1AacuteIcirciexclOgraveregcedilAuml|raquoLAacuteOumlcedilAumldOumlifrac14dordm|frac14EumlAacutesup1Aumldraquo13]nfrac14ampfrac12AtildeAcircnAtilde5frac12AEligwAtildeAacuteEgravefrac14Ouml~OumlcedilAumlnfrac14dAgrave4Icirc13aIuml xQ|||~pwld lnrRtcodampodsectgldrRrv p 9Pl| ~tu9ldP j ln4Utreg]vx4~rvu t not v i4v Iordf iquest uacute z yiuacute+r UIuml

aacuteUacutefrac14draquoAEligwAuml|Aringcedilsup1Riquestagrave0Iumlfrac14draquo~EcircdIumlb$Auml|raquocedil4frac14|EcircS] uacute_^J^J^ iquestlaquo`currenaacuteAumldAacutesup1AumldraquoAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo`Ccedilgsup1currenAacuteIcirceumlfrac12Atilde5AcircnAtildefrac120AEligwAtilde AacuteAElig_aIuml igraveraquo13]x4~rv p4PldrRtcoPl|=ov pwv P4vNtildeodUacutex4shyl not vsectEgravepwo4v tu not Iumlcb$AumldEacutePAtilde|iquestednfrac14dOuml~frac14draquoIuml

aacuteAuml|raquoLAacute4frac14dordmdraquoifrac14ZAacuteiquestdIumliquestziexcl0IumlTHORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquestdfrac14draquo~EcircoNtildeIumlZagravegfrac34Ufrac14dAgrave4Icirc~AtildeJ] dividedugrave|ugraveUuacute iquest` agraveOslashcedilAtildeAcircsup1AtildeCcedilaeligAumldOgravePEcircAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeAEligwAringcedilwOgraveufrac14dAgrave5AtildeAElig_]AacuteAuml|OumlPAuml|frac12Aumldordmdfrac34Liquestgordm|AtildeAuml|Igrave(AtildeAacutewcedilwfrac34frac14draquoiEcirc EcircAtildeOgraveuAumlcedilIgravefrac14Aacutesup1Auml|raquoSaIuml x4shyl not vtimesldiOacuteumltutcododshy~rRtreg not0Inot v uacute_qw iquestuacuteugravendivide+y~uacuteugravezq|ugrave Iuml

aacuteAring~IgraveOgraveregAumldcedil4Ecirciquest=THORNFIumlgfrac14raquoiEcircdIumlatildeIcirc~frac14dIcircS] uacute4^ ^ iquest`currenmiddotOumlAacutesup1Igravefrac14frac12$frac14dOumlOumlcedilAumlicircsup1Igravefrac14Aacutesup1Auml|raquoAEligEacuteLfrac34Oumlsup1AtildeAgrave5AtildeCcedilgsup1AEligwAtildetimesAEligwIgrave(AumlLAumlAacuteIcircOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligFfrac14raquoiEcircOslashfrac14dAEligwAEligwAumlLAgravesup1Yacutefrac14ZAacuteAtildeEcircaringAcirc|frac14Zcedilsup1Yacutefrac14ZAacutesup1Auml|raquoifrac14frac12EgraveOumlcedilAumldEacute~frac12Atilde5Igrave(AElig_aIuml odshyNtildeshyFU~tR4lrRtcod~oaeligsectEgraveUpvUacuteldiEgraveni tsvw j ldrreg~v shy(lrRtccurrenshyt iquest rzr4y xJ q Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfa

yenKbrvbarsect =4 acirc $ zmiddotAEligwIcirc~AtildecediliquestdatildePIumlfrac14draquo~EcircdIumlnatildeAtilde AacuteIcirc~sup1frac14draquoS] uacute4^ ziquest` eacutecedilAuml|raquoLAacuteAEligeOumlcedilAumldOumlifrac14ordmnfrac14Aacutesup1raquoordmCcedilgsup1currenAacuteIcircFAgrave5AringcedilAcirc|frac14ZAacuteAringcedilAtildeEumlEcircAtilde5OumlPAtilde5raquoiEcircAtilde5raquoLAacuteBAEligwOumlPAtildeAtildeEcircS]

agravefrac12ordm|Aumlcedilsup1AacuteIcircIgrave(AEligEacute~frac14dAEligwAtildeEcircaumlAuml|raquoiexclampfrac14Igrave(sup1frac12AacuteAumldraquoEumldnfrac14Agrave5Auml|Eacutesup1eacute~AumldcedilIgraveNtildeAring~frac12frac14Aacutesup1Auml|raquoSaIuml poundUodUp4Pl|oqiexcloshyiUrsldrRtcoPl|sect=U~tc ordfenot iquest uacutedivide4yEqE^ Iumlfefrac14cedil4frac14ordm|sup1Auml|AElig5iquestoNtildeIumlfrac14draquo~EcircIacuteszligyIuml]THORNampAtildecedilsup1Agrave4Icirc~AtildeJ] uacute4^z^J^ iquest`s[Atilde5AumlUEcircAtildeAEligwsup1Agravefrac14AgraveAacutesup1AcircnAtildeFcedilAtilde5ordmdsup1Auml|raquo~AElig$OgraveregAumldcedil0Igrave(AumldAacutesup1Auml|raquoTAtilde5AEligqAacutesup1Igravefrac14Aacutesup1Aumldraquofrac14draquoiEcircAacutewcedil4frac14dAgrave4UgraveUsup1raquoordmAaIumligraveiacuteraquoS] x4rv p ildrRtcodil|-ov pwv P4vFodOslashodshyiUrv paumlumltutco Iumleh=AumldcedilwOgraveregAringgt[cedilAtilde5Atilde5Agrave5Atilde|Iumlfefrac14AacuteAtilde5Aringicirc]iquestatilde]Iuml] dividedugravedugrave|ugrave iquestpound`currenatildeOuml~frac14Aacutesup1frac14dfrac12AEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoTAumldOgrave=Agrave5Auml|frac12Aumlcedilysup1Igravefrac14ordm|Atilde5AEligampfrac14dAgrave5Agrave5Aumlcedil4Ecircsup1raquo~ordmAacuteAumlUacuteaacuteTHORNaringOgraveregAumldcedilIgravefrac14dfrac12currenEumlsup1AEligwIgraveaIumlyigraveraquo13] x4~rv p4PlrRtcodPld=od5v pv i vodododpFtu pwl4UtcldPx4shyl not vysectpqo v tu not Iumlatildefrac14dsup1raquoLAacute UumleAacutesup1Atilderaquo~raquo~Atildediquestieacutecedil4frac14raquo~Agrave5AtildedIumlfcedilAtildeAgrave5sup1Auml|AEligwAumliquesteacute=IumlEgravefrac14raquoiEcirc aacuteIacuteIumlcurrenZEgravefrac14cedilfrac12frac14dAring~EcircS] dividedugrave|ugraveUuacute iquest` Z-EumliacuteatildeUOuml~frac12sup1raquo~Atildeaumlfrac14dAgrave Aacutesup1Acirc|AtildeOtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAEligOgraveregAumldcedilOgraveRfrac14AEligqAacuteAcircUsup1EcircAtilde5AumltimesAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIumlOacuteigraveraquo13] x4rv p ildrRtcodil|od5v pv P4vaeligod x4shy(l not vUacutesectpqo4v 4tu not IumlETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1Riquest[cedilAtilde5Atilde5Agrave5Atilde|Iuml

szligAumldraquoOgraveufrac14cedil4EcirciquestszligyIuml] uacute_^J^q iquest` szlig9Atilde5ordmdsup1AumldraquoEumlsEacuteifrac14AEligwAtildeEcircFAEligqAacutewcedil4frac14ZAacuteAtilde5ordm|sup1Atilde5AEligeOgraveuAumlcedil-frac14dAgraveAacutesup1AcircnAtildeEgraveAgraveAuml|raquoLAacuteAuml|AringcedilIgrave(AumlUEcircAtilde5frac12AElig_aIuml x4~rv p4PldrRtcoPl|poundUodUp il|WoqodshyiUrv paumlumltutco I v dividezw iquest divideddividez^+yUdivide uacute Iuml

atildefrac14Igrave(AEligwAuml|raquoiquestzhIumliquestzIumlzZ=frac12frac14raquo~AgraveEumleacuteAtildecedil4frac14AringiEcirciquestJ[NtildeIumldagraveAringEacutePAtildecedilwAacuteiquestfrac14draquo~Ecirc dIumlJregPAtildecedilAring~Eacutesup1frac14I] dividedugravedugrave|ugrave iquest` agrave frac12Atilde5Acirc|Atilde5frac12UAEligwAtildeAacuteIgrave(AumlUEcircAtilde5frac12nOgraveregAumldcedilsup1Igravefrac14ordm|AtildeAgrave5frac12frac14dAEligwAEligwsup1siAgravefrac14ZAacutesup1Auml|raquo13aIuml x4~rv p4PlrRtcodPldpoundUodUp4Pl|BoqNtildeodshyiUrv pOtildeumltreg4tRod shy v Ew iquest uacute r4y~uacute4^Er Iuml

atildefrac14raquo~ordmdCcedilgsup1raquoAtilde|iquest9atilde]IumlEgravefrac14draquo~Ecircszlig0IumlampiexclAumldcedilraquoAtilde v Atilde5EcircAElig5Iuml w ] uacute_^J^ Uiquest ~vIacuteo|odUpaumltushyl not vipqo4v 4tu not ldP|m4oo4uml Iumlh=Icircifrac14dOumlIgravefrac14draquodegmacriexclampfrac14dfrac12frac12RIumlatildeAtildeAacuteIcircsup1frac14draquoiquestdIumlplusmn] uacute4^z^|ugrave iquestU` oAringIgrave(Atildecedilsup1Agravefrac14dfrac12Ufrac14frac12ordm|Aumldcedilsup1currenAacuteIcircIgrave(AEligWOgraveuAumldcedilOumlcedilAuml|Oumlifrac14ordmnfrac14ZAacutesup1raquoordmsup1raquoLAacuteAtildecedilwOgraveRfrac14Agrave5Atilde5AElig_]Jiexclampfrac14dIgrave(sup1frac12currenAacuteAuml|raquoEumldnfrac14dAgrave5AumldEacute~sup1

AtildeecircLAringifrac14Aacutesup1Aumldraquo~AElig-frac14draquoiEcircAgraveAuml|raquo~AEligwAtilde cedilAcirc|frac14ZAacutesup1Aumldraquo(frac12frac14CcedilgAElig_aIuml poundUodUp4Pl|]oqEgraveyen$t lv pv rRtcl| voshyv rRp~ iquest uacute4Uuacutey~uacute x uacute IumlatildeAtildeAacuteIcircsup1frac14draquoiquestAdIuml] uacute4^J^ xiquest kWvndvB]v r j v rregod IumlcurrenhEgravefrac14dIgraveNtildeEacutecedilsup1EcircordmdAtilderaquosup1AcircPIumlAfecedilAtilde5AEligwAElig5Iumlatildesup1Ecirc~Ecircsup1ecircUsup1Riquest4bIumliquest_yenNtildeIumlBfrac14Aring~Ocirc5sup1Gsup2AtildecedilAtilde|iquestagraveyIumlETHWfrac14draquoraquo~Atilde5raquoUEacute~frac14dAring~IgraveUacuteiquest5frac14draquo~EcircNtildeatildePIumlregPAring~Agrave4UgravenAtildecedil4] uacute_^J^ xUiquestE`currenagravegcedilAtildefrac149frac14draquoiEcirc$frac12Atilde5raquoordmdAacuteIcircyIgrave(sup1raquoEuml

sup1Igrave(sup1Ocirc5sup1raquoordm sup3iAumlCcedilgAEliggOgraveuAumldcedilAEligwIcircifrac14OumlPAtildeyAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo13aIuml xQ|||~pwl~ lnrRtcodoOtildex4shyl not vsectEgravepwo4v tu notordf v Ew iquest qEz+yqzqE Iumlyen=AtildeOcirc5Ocirc5sup1RiquestagraveyIumliquest5agrave0Iuml5ETHEgraveAEligfrac14dsup1Riquestfrac14draquo~Ecirc$agrave0Iuml Ucirc sup1frac12frac12AEligwUgraveLfrac34] uacute4^z^J^ iquestJ` agraveaeligAEligqAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12Ufrac14dOumlOumlcedilAumlnfrac14Agrave IcircampAacuteAumlgAEligwraquo~frac14dUgravenAtilde5AElig]OgraveuAumlcedilWEacutesup1Igrave(AumlUEcircfrac14dfrac12frac14draquoiEcircAacutewcedilsup1Igrave(AumlUEcirc~frac14frac12isup1Igravefrac14dordmdAtildecedilwfrac34aIumligraveraquo13] x4rv p ildrRtcodil|eodv pwv P4vyodx4shyl not vgsectpqo v tu not IumlAb$AumldEacutePAtildednfrac14dOuml~frac14draquoIumlreg]IcircUAringiquest]atilde]Iumlfrac14raquoiEcircaumlagrave0Iumleyen=Aringsup1frac12frac12AtildeJ] uacute_^J^ xUiquestpound` szlig9Atilde5ordmdsup1AumldraquotimesAgrave5AumldIgrave(OumlPAtildeAacutesup1currenAacutesup1Auml|raquo13]iAring~raquo~sup1currenOgraveYacutefrac34sup1raquoordmiexclAEligwraquo~frac14dUgravenAtilde5AElig5iquestPcedilAtildeordm|sup1Auml|raquoTordmdcedilAumlCcedilgsup1raquo~ordmiquestfrac14draquoiEcircZEgravefrac145frac34LAtilde5AEligacute|aacuteTHORNOgraveregAumldcedilIgraveFAring~frac12currenAacutesup1Eacuteifrac14raquoiEcirc sup1Igravefrac14ordm|AtildeTAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo13aIuml xQ|||micro~pwld lnrRtcodtimesosect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4v Icent iquesteJ q+yU^dugrave|ugrave Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfo

i $amp)(+-)013021+345627893lt=gt9A6CBfrac12OcircacuteIshyNT

frac12OcircacuteIltNTpara frac12frac34EMeJaumlQcYZYZjJUacuteQsY H [ ^QEgraveJLhZJUO H QcN H J H MeJordfXiacute[]fcfR[WQcO[Oslash^e[]ZaringNPQsOXiacutejOb H QR[]ONPfdaringocirc|adOuml times jOcircaacute uuml times a2atildeltszligaumlgtszliglOuml times j atilde auml

G QsObnJ H MJeumlYZJ H [SXIacuteNPfcfUacute^e[]ZaringNPQsOYMNPY Oe[ H N Y H hjb H jhZJ`[SXUPJUb H [PhQcNPfOtildeYZKNPbnJSefRJ H jYZ N`PJ H MeJeumlhZJ[]QR[]OYJUP[]fVUPJ H MehZ[]j[]M NrXqNSZaringQcfVm [SX H hNPOYYX[PhlZ N H QR[]OYa(|aagraveszlig jj emiddot iacuteaumlYlZOslash[[ H MaNPO^ centQ ~JUb H QVUPJS^ not [PhNOslashKEgrave[]QcO H $ aacute atildeshyszligaumlN eFWFJTOe[ H JSaring$ aagravej|aacutemiddot|aagraveszlig $ j WiexclQ H M |a s szlig $ jaacute $OumlcopytimesaagravejOcircaacutemiddot|aagraveszliglOumlutimesdj WiexclQ H M |a s szliglOumlcopytimesAjOcircaacuteAumlOumlutimes9J H jY H MeJUO^JOeJ H MeJordfUPJUfR[WbLQ H moUPJUb H [PhdY JUfs^kfrac12 YZjbM H MN H aringfrac12sup1aagraveszlig $ aagravejj|aacute aelig |aelig agrave aagraveszlig $ j YlaquoXiacuteNiharingNPY H MeJ bn[]ZOslashKj H N H QR[]O[SX H MeJ ^eJLhQU~N H QVUPJ QcYOslashbn[]ObnJLhOeJU^OeWFJNihZJQcOWVH JLhZJUY H JU^ QcO YYZaringNPfcfOtilde^JX[PhlZ N H QR[]OY^ J H MBjYJkWKNPO^ H MeJ H hNPOYX[PhZaringN H QR[]ONPbLbn[Ph^QcO[ H [hdY H [Ph^eJLh NmWfR[PhyacuteXiacute[PhlZtimesjfcNaring|aagraveszlig $ jpoundaacuteAElig|a s szlig $ j agrave aelig |aelig agrave a s szlig $ jaacute $ ragrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacute frac14 frac14 a s szlig $ j^ J H MeJUOQcO H hZ[W^jbnJ H MehZJLJgZ NPQcO^eJOQ H QR[]OYaringf^QMeJg0jfRJLhQcNPO^eJLhQU~N H QVUPJOtilde[SXocirc|adOuml times jordfaqQcO H MeJIacute^QRhZJUb H QR[]O[SXcedilfrac12jaring ocirc|adOumlcopytimesszlig_frac12jOcircaacutefcQZUcedil iacute ocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave admacrfj ^QMeJgZaringN H JLhQsNPfg^eJLhQVUiN H QVUPJOtilde[SXuumlStimesYa $ szliglOumlcopytimes)jaringsup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j|aacutefcQZUcedil iacute uumlStimesa $ ragrave3frac12ba $ jszliglOumlutimes agrave3frac12sup1a $ jj uuml]timesa $ szliglOumlcopytimesdjagrave admacr j^QMeJaumlYZMNiKEgraveJOtilde^eJLhQU~N H QVUPJOtilde[SXOcircuuml]timesa $ szliglOumlutimes)jaring

uumlnotraquotimes a $ szliglOumlcopytimesUcircszlig_frac12 jaacutefcQZUcedil iacute uumlStimesYa $ szliglOumlutimesragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave admacrS]j

uumlnyacutenthornnyumll13YSordmY_Fordfy

yenKbrvbarsect =4 acirc $ hq centUWQR[]jYZfVmSe-centmaJkBKNPO^QcO[ admacr jUacuteNPbLbn[Ph^QcOF[ H [hdY H [Phd^eJLhordfNmBfR[PhordfXiacute[PhlZtimesjfcNeWFJaumlMNUPJSaring sup1uumlStimesYa $ szliglOumlcopytimesUcircszlig_frac12 jaacuteAumluumlnotraquotimes a $ szliglOumlcopytimesszlig_frac12jhuumlStimesa $ szliglOumlcopytimes)j frac12sup1a $ j admacrj J H MeJUOabn[]ZOslashK-j H JZOslash[PhJaumlKhZJUbLQcYZJUfVm H MJ0jfRJLhQcNPO ^eJLhdQVU~N H QUPJauml[SXcopyocirc|adOumlcopytimesdj^ JMNUPJSaringocircOcircadOumlutimesaagravejj ocircOcircadOumlutimes)jagrave aacute fagrave = thorn yuml uuml times a $ aagravejszliglOuml times aagravejj $ uuml times a $ szliglOuml times j $ FH admacrSmacr]j5O H MJohY H QcO H J[PhdNPfdeltWFJZaringN`PJ H MeJU~NihdQcNicentfRJ bMNPO[PJ $ aagravejaacute $ agrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacuteethicirc7a2atildeshyszligaumlFjszligicirc cent a2atildeltszligaumlj eWMQcbdM[]QVUPJUYaring thorn yuml uuml]timesYa $ aagravejszliglOumlcopytimesYaagravejj $ aacute admacrS]j

5 uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlutimes agrave3frac12sup1a $ jjlt^eJ H ocirc a $ jlt $WMJLhZJocirc a $ jQcY H MeJgXiacute[]fcfR[WQcO[aringSNPbn[PcentQcNPOtZaringN H hdQkKaring

ocirc a $ jaacute oacute fcedilxagrave frac14 iacute oslashfrac14Uordm agrave frac14 iacute oslashfrac14 ugraveagrave frac14 iacute acircfrac14ordm fcedil agrave frac14 iacute acircfrac14 ugrave ocircNPO^ YZ[eFWNtildeJIacuteMNUPJSaring

^eJ H ocirc a $ jOcircaacute fUragravee^QVUKafrac34frac12sup1a $ jjragrave cent ^eJ H amacr frac12sup1a $ jjMJUOWNtildeJauml[Pcent H NPQcOOaring

fsQZcedil iacute ^eJ H ocirc a $ j fagrave aacute ^QVUKafrac34frac12sup1a $ jj admacr]zSjMJJBjN H QR[]OxadmacrSmacr]j H MeJUOcent=JUbn[]ZaringJUYaringocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave aacute fagrave middot uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jjlt 13raquo ocirc a $ jlt $ uumlStimesa $ szliglOumlcopytimesAj $ admacrSi]j JTbLNPO`YZjeKKEgrave[]YJ H MN H ^eJ H aocirc a $ jjfrac14aacute sfrac12 agrave frac12 $ ^ JZaringNm H MeJUO H N`PJ^eJ H aocirc a $ jjfrac34 s eNPO^ WNtildeJ ^eJUPJUfR[PK H MeJaJkWKhZJUYYZQR[]OadmacrSi]j NPYoX[]fsfR[WQsO[centmNP^^QcO[aringN H JLhZ QcO H MeJIacuteYZJUbn[]O^aQcO H J[PhNPfltWMQcfcJaumlYZjeKKhJUYZYZQcO[ H MeJtimesYZNSZOslashJ H JLhlZQcO H MJordfhY H QcO H J[PhNPfdaring ocirc|adOumlcopytimesYaagravejj ocirc|adOumlcopytimes)jagrave aacuteegraveOtildef1rOtilde cent admacrSh]j

uumlnyacutenthornnyumll13YSordmY_Fordf

s $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJSaring

Otilde aacute uuml]timesa $ ragrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave ^eJ H aocirc a $ jj $ ad s jOtilde cent aacute uuml]timesa $ szliglOumlcopytimesdj ^eJ H aocirc a $ jj fagrave $ adfj

9J H jY_ZaringN`PJordmagrave H JUO^ H [WNih^Y s ^curreniquestYZQcO[frac34admacrjiexclNPO^JOQ H Qc[]OYadmacr e macrS]jeWFJ[PJ H aringfcQZUcedil iacute Otilde aacute sup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j $

aacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ uuml times a $ szliglOuml times j frac12sup1a $ j $fcQZUcedil iacute Otilde cent aacute uuml]timesa $ szliglOumlcopytimesdj^QVUKafrac34frac12 j $

O^ Y[Xiacute[Ph H MeJgNtildejfRJLhQsNPO ^eJLhQVUiN H QVUPJSeWFJgO^Oaring ocirc|adOuml times szlig_frac12jumlaacuteyacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ amacrreguumlStimesYa $ szliglOumlcopytimes)j frac12sup1a $ j7 uuml]timesYa $ szliglOumlcopytimes)j^QVUKafrac34frac12sup1a $ jjj $aacute uumlnotraquotimes a $ szliglOuml times szlig_frac12j $ ^QVUKaduuml times frac12j $ ad j

MeJUO NiKKfVmWQcO[ H MJ hJLJUOWVAQRJZ NPOO H MeJL[PhZJZQcO ad jeWNtildeJ5ONPfcfmtimes[Pcent H NPQcOOaring ocirc|adOumlcopytimesszlig_frac12jOcircaacute uuml raquotimes a $ szliglOumlcopytimesUcircszlig_frac12j $ uacutefrac14 5 uuml]timesYafrac34frac12 eacuteAgraveiquestsup1AacuteAtildeAcircj THORN adS]jWMJLhZJ5eacuteAgraveiquestsup1AacuteAtildeAcircyQcY H MeJUacutejOQ H QcOOgraveWNih^ Oe[PhlZaringNPf H [ aelig OumlcopytimesUcirc^MeJ_NtildejfRJLhQcNPO ^eJLhQVUiN H QVUPJQcY(O[ H JU^ ocirc raquo aagravej(QcO H MeJaumlKNiKEgraveJLhNPO^ H MeJaumlYZMNiKEgraveJauml^eJLhQU~N H QVUPJyuuml raquotimes QcY(Oe[ H JU^ frac14 frac14 ^iquest acutemicrosup1cedilFLft not [PhyYQZOslashKfcQsbLQ H mSeWNtildeJ(bM[[]YJ H MeJcopyXiacute[]fcfR[WQcO[_U~NihQsN H QR[]OaeligQcO H MeJKhZ[B[SXaring$ aagravejaacute $ agrave3frac12sup1a $ j^MJiexclKh[[SXZaringNm NPfcYZ[IacutecentEgraveJiexcl^JUPJUfR[PKEgraveJU^WiexclQ H MZaring[PhZJ_[PJUOJLhNPfUiNihQcN H QR[]OYFYjbM NPYaring $ aagravejaacuteAacuteAgravea $ szligYagravejWQ H MAcircAgrave`NOslashYYZOslash[B[ H MXiacutejOb H QR[]ONPO^AcircAgravea szligYagravejcentQ ~5JUb H QVUPJS^

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ ffrac12OcircacuteIshyNT AcircE J(MNUPJ H [Otildebn[]ZOslashK-j H J H MJNtilde^QEgraveJLhZJUO HH JLhZaringY9[SXQa macr]j9QsOauml[Ph^eJLh H [Uacute[Pcent H NPQcO H MeJ

JUP[]fcj H QR[]OJBjN H QR[]O[SX H MeJ NPb H QUPJ bn[]O H []jehX[Ph H MeJ ^JUYZbnhQRK H [PhdYaumlcentNPYJU^Oacute[]OH MeJ(bn[U~NihQsNPObnJ ZaringN H hQVktimes^eJ H JLhlZ QcONPO H a2Ograveh]j^OgraveMeJ(bn[]ZOslashKj H N H QR[]OaringQcYampKEgraveJLhYXiacute[PhlZOslashJU^Xiacute[Ph H MeJIacute^eJUYZbnhQRK H [Ph_uuml thorn timesOslash yuml ^ q centUWQR[]jYZfmSeN YZQZ QcfcNihbn[]ZOslashKj H N H QR[]OabLNPOacent=JIacute^e[]OeJXiacute[PhOcircuuml thorn UgraveUcircUacuteUuml yuml ^ JiexclbLNPOaeligJkBKhJUYZYOcircuuml thorn timesOslash yuml NPYyNUacutebn[]ZTcent-QcON H QR[]Oaelig[SXgtXiacutejOb H QR[]OYamp^eJLKEgraveJUO^QcOF[[]O H MJOtildehZJ[]QR[]OwOuml timesOslash aring

uumlgtthorn times Oslash yuml a2atildeltszligaumlgtszligYagravejaacute`Ograveoacute m thorn timesOslash yumlaIgraveagrave thorn timesOslash yumlAtilde j cent ocirc adjWMJLhZJordmaacuteAuml85eWiexclQ H MAring8 H MeJordfXqjOb H Qc[]O QcO H h[B^jbnJU^ QcOpounda2Ograveh]je-NPO^aringm thorn timesOslash yuml aacute agrave thorn timesOslash yuml agrave thorn timesOslash yumlcent agrave thorn timesOslash yuml agrave thorn timesOslash yumlAElig agrave thorn times Oslash yumlCcedil agrave thorn timesOslash yumlEgrave agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlEgrave j cent agrave thorn times Oslash yumlcent aIgraveagrave thorn timesOslash yumlCcedil j cent agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlAElig j centWQ H MOaring EFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFH

agrave thorn timesOslash yuml aacute w$ thorn yuml aOtilde S times Oslash j cent atilde aumlagrave thorn timesOslash yumlcent aacute w$ thorn yuml aOtildeOgravecent Scenttimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yuml aacute w$ thorn yuml aOtildeS Stimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yumlAElig aacute w$ thorn yuml aOtilde S times Oslash jaOtildeOgravecent ScenttimesOslash j atilde aumlagrave thorn timesOslash yumlCcedil aacute w$ thorn yuml aOtilde S times Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlEgrave aacute w$ thorn yuml aOtilde cent S centtimes Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlAtilde aacute w$ thorn yuml atilde auml O^ Y[ H MJordfXiacutejOb H QR[]OY aelig thorn timesOslash yumlauml MNUPJ H MeJgXiacute[]fcfR[WiexclQcO[aeligJkBKhZJUYZYZQR[]OYaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

aelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlcent aacute aOtilde cent S centtimesOslash j centaelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlAElig aacute aOtilde S timesOslash jaOtilde cent S centtimesOslash jaelig thorn times Oslash yumlCcedil aacute aOtilde S timesOslash jaOtilde S timesOslash jaelig thorn times Oslash yumlEgrave aacute aOtildeOgravecent ScenttimesOslash jaOtilde13 StimesOslash jaelig thorn times Oslash yumlAtilde aacutemiddotf

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBnot h[]Z H MeJUYJaumlJkWKhZJUYYZQR[]OYeWFJOtildeJUNPYZQcfm ^eJU^jbnJ H MN H aring

$ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde aumlregaacute sEacutefrac12poundEcirc iuml

J H MeJUO MNUPJ H [Tbn[]ZaringKj H J H MeJ H JLhlZaringY eacute thorn times Oslash yumlauml XiacutehZ[]Z H MeJJkWKhZJUYZYQR[]OYamp[SXagrave thorn timesOslash yumlauml eWMQcbM fRJUNP^Y H [aringEFFFFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFFFFH

eacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideoslash aacute w$ thorn yuml uacute ouml $ordfdivideacirc uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIgrave yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H a timesOslash jjeacute thorn timesOslash yumlcent aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideacirc

aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIcirc yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideEuml aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideacirc thorn thorn uacute ouml $_divideIuml yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yumlAElig aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIuml aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideEuml uacute ouml $ordfdivideIuml thorn uacute ouml $_divideIcirc uacute ouml $ordfdivideIgrave yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlCcedil aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIcirc aacute w$ thorn yuml cent thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideacirc uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlEgrave aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIgrave aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideoslash uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlAtilde aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIacute aacute w$ thorn yuml thorn +ETH ouml $_dividethorn uacute ouml $ordfdivideIacute yuml Iuml 8 raquo aq^J H a timesOslash jj

O^centmJkWKhZJUYZYZQsO[ H MeJbn[UiNihQcNPObnJZaringN H hQVkpoundWQ H M H MJregXqjOb H QR[]OYagrave thorn timesOslash yumlauml NPYXiacute[]fcfR[WQcO[aring

timesOslashlaquoaacute 1NtildeNtildeNtildeNtildeNtildeNtilde3uacute ouml $ordfdivideoslashuacute ouml $ordfdivideIacute uacute ouml $_divideIumluacute ouml $_divideIacute uacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIumluacute ouml $ordfdivideIacute uacute ouml $_divideacircuacute ouml $_divideIacute uacute ouml $ordfdivideIgraveuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacute uacute ouml $_divideIgraveuacute ouml $_divideIacute uacute ouml $ordfdivideEumluacute ouml $ordfdivideIacute

6OgraveOgraveOgraveOgraveOgraveOgrave7 J H MJUO^eJU^jbnJSaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

eacute thorn times Oslash yuml aacute a fj thorn yuml ^eJ H aDC Ptimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlcent aacute a fj thorn centcent yuml ^eJ H aDC centcenttimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yuml aacute a fj thorn curren yuml ^eJ H aDC 4times Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlAElig aacute a fj thorn cent yuml ^eJ H aDC centtimes Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlCcedil aacute a fj thorn curren yuml ^eJ H aDC times Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlEgrave aacute a fj thorn centcurren yuml ^eJ H aDCcent4times Oslash j48 raquo aq^eJ H a timesOslash jjeacute thorn times Oslash yumlAtilde aacute amp^eJ H a timesOslash j48 raquo aq^eJ H a timesOslash jj

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ SWMJLhZJC EBtimesOslash QcY H MeJgZaringN H hdQk ^eJU^jbnJU^Xh[]ZOacutetimesOslasharingcentm YZjeKKhZJUYZYZQcOF[ H MeJyuuml UumlON hZ[WNPO^ H MJ I UumlON bn[]fcjFZaringOO^]MeJbn[]ZOslashKj H N H Qc[]OordmX[Ph H MeJ^eJUYZbnhdQRK H [Ph|uuml thorn UgraveUcircUacuteUuml yuml QcYyYQZaringQcfcNihNPO^WFJ H MeJUOOslashMNUPJNPfcf H MeJ(JkWKhZJUYZYZQc[]OY H [aumlbn[]ZOslashKj H J H MeJJUP[]fcj H QR[]OaeligJjN H QR[]OXiacutehZ[]Z H MeJg[PJUOJLhNPfOXiacute[PhlZIacutejfcNta macr]j^gtMQcYcopy[]QVUPJUY H MeJTJUP[]fcj H QR[]O JBjN H QR[]Osup1admacr s j^

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBΩ out

Objects

Γ

inΩ

inΩ

Background Part

-t not Upv copy ETHEgraveIcircAtildeampAacuteiacuteCcedil=AumlFcedilAtilde5ordm|sup1Aumldraquo~AElig9AumldOgravefrac14raquoUacutesup1Igravefrac14dordm|Atilde

Ω

Ω out (τ)Ω

(τ)in

N

Γ(τ)

Ω

N

v

w

N

-t not Upv ETHEgraveIcircAtildeyEcircAumldIgravefrac14dsup1raquo~AEliggfrac14raquoiEcircAacuteIcircAtilde$AcircnAtilde5AgraveAacuteAumlcedilAEliggsup1raquoUAcircnAumldfrac12AcircnAtildeEcircsup1raquoiexclAacuteIcirc~Atilde$EcircAtildecedilsup1Acirc|frac14ZAacutesup1Aumldraquo

uumlnyacutenthornnyumll13YSordmY_F2ordf

yenKbrvbarsect =4 acirc $ Smacr

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 Atilde|IumligraveAacuteAtildecedil4frac14ZAacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvyzU eacuteWsup1ordm|AringcedilAtilde5AEligfrac14iquest Eacuteiquest AgraveJ]iUumlAcircnAumldfrac12AringAacutesup1Auml|raquoOtildeAumlOgraveeAacuteIcirc~Atildeyfrac14dAgrave Aacutesup1Acirc|Atilde0AgraveAuml|raquoLAacuteAuml|AringcedilIgravefrac14raquoifrac14ordm|AtildeEcircUacuteEacuteLfrac34AacuteIcirc~AtildefTHORN$Uuml v qzqwsup1raquo~Agrave5frac12AringiEcircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquoifrac14frac12ampAacuteAtildecedilIgrave(AElig5IumlgeacuteWsup1ordm|AringcedilAtilde5AEligOtildeEcirc]iquest Atildediquest Ograve] g sup1AEligwAringifrac14frac12sup1Ocirc5frac14Aacutesup1Auml|raquo`AumldOgrave0AacuteIcirc~AtildeTAgrave5AumldcedilwcedilAtilde5AEligwOumlPAumldraquoiEcircsup1raquoordmAcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 OgraveuAring~raquoAgraveAacutesup1Auml|raquosup1raquo~Agrave5frac12Aring~Ecircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquo~frac14dfrac12ampAacuteAtildecedilIgrave(AEligraquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirc EacutePAtildeAacuteiacuteCcedil=Atilde5Atilde5raquo ugrave frac14draquoiEcirc divide JUiquestAEligwAring~Agrave4IcircTAacuteIcirc~frac14Aacute$AacuteIcircAtilderaquo~Atilde5ordm|frac14Aacutesup1AcircnAtildeAcircdfrac14dfrac12AringAtilde5AElig0frac14cedilAtildefrac12AumlCcedilEgraveAtildecedilyAacuteIcirc~frac14draquo uacutedivide Uacutefrac14raquoiEcircaumlAacuteIcirc~AtildeOumlPAumldAEligwsup1Aacutesup1AcircnAtilde(Aumldraquo~Atilde5AEligyfrac14ZcedilAtilde(Icirc~sup1ordm|IcircAtildecedilAacuteIcircifrac14raquo uacuteZdivide Iuml

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

Ecirc]Iumligraveraquo~sup1currenAacutesup1frac14dfrac12BAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 Atilde|IumligraveAacuteAtilde cedil4frac14Aacutesup1Auml|raquo ugravedugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not Upv ucirc eacuteWsup1ordmdAringcedilAtilde5AEligtimesfrac14iquest Eacuteiquest AgraveJ]ampUumlAcirc|Auml|frac12AringAacutesup1Auml|raquoAumlOgrave(AacuteIcirc~Atildearingfrac14AgraveAacutesup1AcircnAtildeOslashAgrave5Auml|raquoLAacuteAumldAringcedilIacuteIgravefrac14draquoifrac14ordm|AtildeEcirc`EacuteUfrac34AacuteIcircAtildeOcircfTHORN$Uumlv q w iquestiexclCcedilgsup1currenAacuteIcirc~AumldAringAacuteAacuteIcirc~Atildefrac14dEcirc~Ecircsup1Aacutesup1Aumldraquoifrac14dfrac12TAacuteAtildecedilIgrave(AElig5IumliexcleacuteWsup1ordm|AringcedilAtildeAElig Ecirc]iquest Atildediquest Ograve] g sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo AumlOgraveaeligAacuteIcirc~AtildeAgraveAumldcedilwcedilAtildeEumlAEligwOumlPAuml|raquo~Ecircsup1raquo~ordm AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 OgraveregAring~raquo~Agrave Aacutesup1AumldraquoeumlCcedilgsup1currenAacuteIcirc~Auml|AringAacuteIacuteAacuteIcircAtilde frac14|Ecirc~Ecircsup1currenAacutesup1Aumldraquoifrac14frac12FAacuteAtildecedilIgrave(AElig v raquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirceumlAEligwAring~Agrave4Icirc AacuteIcirc~frac14AacuteIgravefrac14icirc vOOtilde wpOumldivide z w Iuml

uumlnyacutenthornnyumll13YSordmY_F2

S $amp)(+-)013021+345627893lt=gt9A6CB

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIumligravesAacuteAtildecedil4frac14Aacutesup1Aumldraquogt ugrave|ugrave AgravedIumlieacuteWsup1raquoifrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12Acirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 AtildedIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIumlieacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvtimesLg sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo(AumldOgravePAacuteIcirc~AtildeAtildeAcircnAuml|frac12AringAacutesup1AumldraquoAumldOgravePAacuteIcircAtildeEgraveAgrave5Auml|raquoLAacuteAumldAringcedil-frac14draquo~EcircNtildeAacuteIcirc~AtildeEgraveAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 v Ccedilgsup1AacuteIcircAuml|AringAacuteAacuteIcircAtildeEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircFAacuteAtilde cedilIgrave w OgraveregAumldcedilEgraveAacuteIcircAtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoAumlOgraveAacuteIcircAtilde9Ograveufrac14dAgrave5AtildeAring~AEligwsup1raquo~ordmyAacuteIcirc~Atilde9Agrave5AumlZAcirc|frac14Zcedilsup1frac14draquo~AgraveAtildeIgravefrac14Aacutewcedilsup1currenicirc]Iuml

frac14Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcircnAtilde EacuteIumligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 v AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde w Agrave|Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacutefrac34 v Acircdfrac14cedilsup1frac14draquoAgrave5Atilde w-t not Upv h=AumldIgrave(Oumlifrac14cedilsup1AEligwAumldraquoOtildeAumldOgraveAacuteIcirc~Atilde$sup1raquo~sup1currenAacutesup1frac14dfrac12eAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34iexclAgrave5Auml|Igrave(OumlAringAacuteAtildeEcircAringAEligwsup1raquo~ordmAacuteIcirc~Atilde$AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde0Igravefrac14Aacutewcedilsup1currenicircv iordmdAringcedilAtildeFEacute w AacuteAumliexclAacuteIcircAtildeAuml|raquoAtildeFAgrave5AumldIgrave(Ouml~AringAacuteAtildeEcircTAringAEligwsup1raquo~ordmiexclAacuteIcircAtildeFAcircdfrac14cedilsup1frac14draquoAgrave5Atilde v ~ordm|AringcedilAtildeFAgrave w OgraveregcedilAumldIgrave AacuteIcirc~AtildeNtildeAEligfrac14dIgrave(Atildesup1raquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcirc|Atilde v iordmdAringcedilAtilde$frac14 w Iuml

uumlnyacutenthornnyumll13YSordmY_F2_a

yenKbrvbarsect =4 acirc $ ]z

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv Oslash| THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5AtildeccediliacuteAtildecedilsup1UgraveUegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_o

Si $amp)(+-)013021+345627893lt=gt9A6CB

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv ordf THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5Atildeccedilqfrac14dUgraveUsup1currenfrac34LAumldegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_y

RR-0114-SJEHANpdf
  • wwwi3sunicefr
    • httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf
Page 17: LABORATOIRE INFORMATIQUE, SIGNAUX ET SYSTEMES DE …mh/RR/2001/liste-2001.pdf · 2002. 6. 27. · [Dir01] DIRAT L. “Outils pour des Mathématiques Interactives et Distribuées”

yenKbrvbarsect =4 acirc $ zOe[ H bn[]ZOslashKj H JU^OeNtildecentj HOslashH MeJ bnhQ H JLhQc[]OQcYaringQcO H hZ[W^jbnJU^NPO^ OBjFZOslashJLhQcbLNPfsfVmOacuteJUiNPfuVjN H JU^ QsO [Ph^eJLh H [ ZaringNkeQZaringQVcurrenLJQ H ^ JbLNPO Oe[ H J H MN HH MJeumlNPj H Me[PhYMNUPJKh[PK=[]YZJU^ NlaquoUPJLhYm QcO H JLhZJUY H QcO[aeligJk H JUOYZQR[]O [SX H MQcYWNtilde[Phl` jYQcO[ H MJ5[]NSZaringJ H MeJnV[PhYma)vMN`BhNicentEgrave[Ph H m NPO^jObLNPOOeOfhShSh]j^J[]Qc[]O NPO^ cent=[]jO^NihYmOslashbnhQ H JLhdQR[]OYNihZJYJLKNihdN H JU^OePcentj H JUNPbMaringbnhQ H JLhQR[]Otimesbn[]O H NPQcOY$NPOtimesQsO H JLhNPb H Qc[]OlaquoWQ H M H MeJ[ H MeJLh^ Y H MJ_[]NSZOslashJKhZ[S[PhJUYZYJUYeBcentEgrave[ H MZOslash[W^jfcJUYyQZOslashKh[UPJ H MeJUQRh0KEgrave[]YZQ H QR[]OY H MhZ[]j[]MZtimesj H jNPfQcOFX[PhlZ N H QR[]O YZMNihQsO[^

Oe[ H MeJLhIacuteYZQZaringQcfsNihUacuteNiKKhZ[]NPbMMNPYaumlcentEgraveJLJUOQcO H hZ[W^jbnJU^eumlcentmbvMeJUYZONPj^eumlJ H NPfd^a)vMJUYZONPj^ J H NPfd^VefhShSh]j^FMeJUQchNtilde^eJUYZbnhdQRK H [PhYFNihZJhZJnVJU~NPfsjN H JU^ JUNPbM H QZOslashJUacuteNKEgrave[]QcO H [SX H MJNPb H QVUPJbn[]O H []jehFJUP[]fVUPJUY0YZQsObnJ H MeJUQRh0^JUYZbnhQRK H [PhdY$NihZJY H N H QcY H QcbLNPfXiacuteJUN H jehZJUYOtilde[SX H MeJ QZaringN[PJordm[]fR[PcentNPfsfVm`N HH NPbdMeJU^ H [ H MeJOslashJUP[]fVUWQcO[ hZJ[]Qc[]OY^shyMJmbdMe[[]YZJ H MeJ`hNPO^e[]Z ^QcYKfsNPbnJZOslashJUO H [SXaumlNOacutebn[]OYZQs^eJLhZJU^ KEgrave[]QcO H [SX H MeJ NPb H QVUPJbn[]O H []jehOslashY[ H MN HIacuteH MJ bnhQ H JLhQR[]O7^eJUbnhZJUNPYJUY^$ _X H JLhaeligJUNPbdM ^QcYKfsNPbnJZOslashJUO H [SXNKEgrave[]QcO H [SX H MeJIacuteNPb H QVUPJIacutebn[]O H []jehe H MJT^eJUYZbnhQcK H [PhY(NihZJOtildehZJnV4bn[]ZaringKj H JU^O^

fcN H JLh NiKKhZ[]NPbdM MNPYaringcentEgraveJLJUOQcO H hZ[W^jbnJU^ centm G NSZaringY[]O J H NPfd^_a G NSZ Y[]OJ H NPfd^Ve sSsSs jyacuteXiacute[PhOtildebLfcNPYZYZQbLN H QR[]OaNPO^acentmvMNPO NPO^frac34$JUYJa)vMNPOeumlNPO^frac34$JUYJSesSs fjX[PhaYZJ[]ZOslashJUO H N H Qc[]O [SXaeligY H QcfcfOtildeQZ N[PJUY^yacuteMeJm KhZ[PKEgrave[]YJ H [JZIacutecentEgraveJU^ H MeJbnhQ H JLhQR[]O ^QRhZJUb H fVm`QcO H MJaeligfcJUPJUf$YJ H X[PhlZtimesjfcN H Qc[]OO^Ov(MNPOeumlNPO^$JUYJOslashKhZ[PKEgrave[]YJH MeJordfXiacute[]fcfR[WQcO[Oslash^eJUYbnhQRK H [PhYaringEFG FH uuml thorn UgraveUcircUacuteUuml yuml aacutecb7d Otilde e f centUhguuml thorn timesOslash yuml aacutecb cent Otilde e cent centuuml thorn otilde)yuml aacuteiS adi]jWQ H M e H MeJ NUPJLhN[PJ[SXgOtildeQcOicircOuml timesOslash e e cent H MJ`NUPJLhdN[PJ[SXgOtilde7QsO OumluUgraveUcircUacuteUuml^MeJUYJH WNtilde[ UiNPfcjeJUY NihZJhJnVJUY H QZaringN H JU^ ^jehQcO[ H MeJKhZ[PK-N[]N H QR[]O [SX H MeJbLjhYUPJNPYH MeJaelighZJ[]Qc[]OYJUP[]fVUPJS^shyMeJtimesKNihNSZaringJ H JLhYjb e1b cent egeumlNPO^kSNihJaringY[]ZOslashJaeligKEgrave[]YZQ H QVUPJbn[]OY H NPO H Y^iexclJLhZJ H MJ fRJUPJUfFYJ H ZOslashJ H Me[W^QsYIacute^QchZJUb H fVmjYJU^OacutecentmhJLKhZJUYJUO H QcO[H MeJtimesbLjehYUPJlaquoYacuteaagravejNPY H MeJycurrenLJLhZ[fRJUPJUfampYJ H [SXyNQRKYZbdMQ H currenTbn[]O H QcOBje[]jY_XiacutejOb H QR[]Ol a2atildeshyszligaumlKszligYagravej^]MeJfRJUPJUfWYJ H XiacutejOb H QR[]O l QcYQsO H hZ[W^jbnJU^timesQcO H MeJbnhQ H JLhQc[]OUWQcN H MeJiexclJUNUWQcYZQc^JyacuteXiacutejOb H QR[]Onmra l j^MeJbnhQ H JLhQR[]O QcY H MeJUOoZaringQcOQZaringQVcurrenLJU^WQ H M hZJUYKEgraveJUb HH [ l jYZQcO[OslashNaelighZJ[]jfcNihQVcurrenLJU^UPJLhYQR[]O[SX H MJyZaringQcOQCZaringQVcurrenUN H QR[]O KhZ[PcentfcJZ JIacuteOe[ H JMeJLhJ H MN HFH MeJJUP[]fcj H QR[]OaringJBjN H QR[]O QcY0^QRhZJUb H fVmtimesJkBKhZJUYZYJU^regWQ H M H MJiexclfRJUPJUf-YJ HXqjOb H QR[]O NPO^ Oe[ H WQ H M H MJTbLjehYUPJgYacute|^

G []ZOslashJ[ H MeJLhWNtilde[Phl`BYeBjYZQcOF[auml^QcY H hQccentj H QR[]O H MeJL[PhYmSeBMNUPJcentEgraveJLJUOaringKh[PK=[]YZJU^OslashcentmJLcenthZJUjFUPJaJ H NPf)^_aJLcenthZJUjUPJ J H NPfd^Ve sSs fjXiacute[PhZaringJU^QcbLNPfQCZaringN[]QcO[NPO^ centm 5ZaringNP^QRJUjJ H NPfd^shyaq _Z NP^QRJUj J H NPf)^VeshyfhShSh]jcopyXiacute[PhcentjQsfc^QcO[times^eJ H JUb H QR[]OO^not QcONPfcfVmSe~hZJ[]QR[]OWVcentNPYZJU^aringNPb H QVUPJbn[]O H []jehYNtildeNihZJNPfcY[OtildeKEgrave[WFJLhYXqjf H [[]fsYX[PhNtildebLfcNPY5VYZQbLN H QR[]Opounda13yJcurrencurrenUQJ H NPfd^VeshyfhShSh]j[Ph_ZOslash[ H Qc[]O^eJ H JUb H QR[]Oxaw_aNPOYZ[]jehQgNPO^wcOtilde[]OWVhNP^efhShSh]j^MeJZ N~5[PhOtildebn[]O H hQRcentj H Qc[]Oa[SXy[]jh5WF[PhY`aQsY H [KhZ[PKEgrave[]YJaeligNo[PJUOeJLhNPfQXiacutehNSZOslashJnVWF[PhY`X[PhaumlhJ[]QR[]OWVcentNPYJU^OacuteNPb H QVUPJ bn[]O H []jehY H N`BQcOF[QcO H [NPbLbn[]jO HIacuteH MeJaringbLNPYJ [SX

hZJ[]Qc[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhY^OgraveMeJ UPJUfR[WbLQ H mordmUPJUb H [PhF[SX H MJiexclNPb H QVUPJUacutebn[]O H []jh

uumlnyacute|thornLyuml13 o

i $amp)(+-)013021+345627893lt=gt9A6CBQcYUacutebn[]ZOslashK-j H JU^centm`QcO H hZ[W^jbLQcO[N ^mWONSZaringQcbLNPfampYZbdMeJZOslashJaring^QchZJUb H fVm`QsO H MJaringbnhQ H JnVhQc[]O H [frac34ZaringQcOQZaringQVcurrenLJaeligNPYTQcO aJLcenthJUjUPJ J H NPfd^Ve sSs f 5ZaringNP^QcJUjJ H NPfd^VefhShSh]j^iexcl[WFJUPJLheWFJ KhZ[PKEgrave[]YJ MJLhZJ N OJW Xiacute[PhlZtimesjfcN H QR[]O7[SX H MJ^JLhQVUiN H QR[]OjYZQcO[YZMNiK=JIacute[PK H QZaringQcurrenUN H QR[]O H [B[]fcY^ Q H M YjbM NZaringJ H Me[B^egtWFJtimesNihJaeligNicent-fRJ H [hZJUNP^QsfVmH N`PJQcO H [NPbLbn[]jO HaringH MeJ bLNPYJ [SXhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhY H MN H U~NihYm^jhQcO[ H MeJ KhZ[PKN[]N H QR[]O[SX H MeJ NPb H QUPJ bn[]O H []jeh^MeJUYJ ^eJUYZbnhQRK H [PhYTMNUPJH [centEgraveJtimesbn[]OYZQc^eJLhZJU^ YZQcObnJ H MJmaNihZJlaquoWQc^eJUfmjYJU^X[PhOtildejOYZjeKEgraveJLhYUWQcYJU^YJ[]ZaringJUOWVH N H QR[]O^ not [Ph(YZjbdM hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYbnhQRK H [PhYeOgraveWFJiexclYZMe[W H MN H NP^^Q H QR[]ONPfH JLhlZ Y0NiKKEgraveJUNihNtildeQsO H MeJJUP[]fcj H QR[]OaringJBjN H QR[]O [SX H MeJiexclbLjehlUPJ H MN H MNUPJUacuteOe[ H centEgraveJLJUOKhJUBQR[]jYZfVm bn[]ZOslashK-j H JU^O^

pE paraOacuteOgraveJJTIshyAgravesup1cedilqoacuteIshyacuteLcedilsup3UrltLcedilgtmicrobacuteNsMgtLtrraquoML iquest acuteAgravegtT2MKIOAacutelAcirclaquocedilFAtildeacuteNfrac12oRSJT13AringKacutepoundAEligMKIKJMgtPltLAtildeq jhyZaringNPQcOb[P[]NPfFfsQRJUYTQcO H MeJ JUfsNicent=[PhdN H QR[]O[SXNfrac34[PJUOeJLhNPfXhdNSZOslashJWNtilde[Phl`umlX[Ph H MeJYJ[]ZaringJUO H N H QR[]O7[SXNPO7QZaringN[PJQcO H WF[euml^Q=JLhJUO H hZJ[]QR[]OYtimesjYZQcOF[hZJ[]QR[]OWVcent-NPYJU^NPb H QVUPJIacutebn[]O H []jehdY^ JOtildeKhZ[PKEgrave[]YJ H [ZaringQcOQZ QVcurrenLJ H MeJiexcl[PJUOeJLhdNPfgbnhQ H JLhQc[]O a2jWiexclMeJLhZJUacuteJUNPbM hJ[]QR[]OQcYamp^eJUYbnhQRcentEgraveJU^TjYQcO[UacuteN_XqjOb H Qc[]OtimesbLNPfsfRJU^ n^eJUYZbnhQRK H [Ph[SX H MeJhZJ[]QR[]Op^i YampKhZJUWQuV[]jYfVmOtilde^eJ H NPQcfRJU^OeNiexcl^eJUYbnhQRK H [PhQcY9N XiacutejOb H QR[]O H MN H ZOslashJUNPYZjhZJUY H MJNtildeMe[]ZOslash[S[PJUOJUQ H m[SXyN hZJ[]QR[]OO^Egrave_[]Y H [SXyhJUfRJU~NPO H Y H N H QcY H QcbLNPf^eJUYZbnhQcK H [PhY^JLK=JUO^ H MeJZaringYZJUfVUPJUY[]O H MeJOslashhJ[]QR[]OO^ G []ZOslashJOslashJkeNSZOslashKfRJUYOtildeNihJordm[]QVUPJUOQcO G JUb^shy^ macr^ not [PhTJkWNSZOslashK-fRJSe H MeJhZJ[]Qc[]Oa^eJUYZbnhdQRK H [Phordfuuml thorn timesOslash yuml bLNPO centEgraveJTbM[]YJUOeumlNPY H MJyUiNihQcNPObnJvu centtimesOslash [SX H MeJThJ[]QR[]OOumlcopytimesOslashFeWMQcbdM[]QVUPJUYaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashj|aacute[u centtimesOslash aacutexw$ aOtilde SOtimesOslashjUcirccent atilde aumlw$ atilde aumlWMJLhZJSOtimesOslash QcY H MJyZOslashJUNPO [SX H MeJaumlhJ[]QR[]OwOumlcopytimesOslash^ G jbMaNaring^eJUYZbnhQcK H [PhQcY(ONSZaringJU^aNn5hZJ[]Qc[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhlpOslashYZQcObnJaumlQ H ^eJLKEgraveJUO^YF[]O H MeJaumlhJ[]QR[]OwOuml timesOslash ^q ObnJ H MeJTbnhdQ H JLhQR[]O QcYQcO H h[B^jbnJU^OeWNtildeJTKhZ[PKEgrave[]YJ H [ bn[]ZaringKj H J H MeJTJUP[]fcjWVH QR[]OUacuteJBjN H QR[]OT[SX H MJ0bn[]O H []jh H MN H WQsfcfZaringN`PJ0Q H JUP[]fVUPJ H [WNih^YNyacuteZaringQcOQCZIacutejFZ[SX H MeJTbnhdQ H JLhQR[]OjYZQcO[OslashNaringOeJWH0jfcJLhQcNPOZOslashJ H Me[W^O^ H XqjO^NSZOslashJUO H NPfcfVm ^QEgraveJLhYXiacutehZ[]Z2[ H MJLhFNiKKhZ[]NPbMeJUYFYZQcObnJyacuteWNtildeJ_`PJLJLK H MJ Xiacute[PhlZIacutejfcN H QR[]Oaring[SXhJ[]QR[]OY0QsOY H JUNP^[SXyhJU^jbLQcO[ H MeJWiexclMe[]fRJTKhZ[PcentfRJZ H [ centEgrave[]jO^NihYm QcO H J[PhNPfcY^gtO^JLJU^OeWFJlaquohY HQcO H hZ[W^jbnJFNiexcl^mWONSZaringQsbLNPfYZbdMeJZOslashJ(QcO H MeJ(bnhQ H JLhQc[]OIacuteNPO^ H MeJUOWFJbn[]ZaringKj H J H MeJNtildejfRJLhQcNPO`^eJLhQVUiN H QVUPJaelig[SX H MJOslashJUP[]fVUBQsO[ bnhQ H JLhQR[]O`centm`jYZQsO[ YMNiKEgraveJIacute[PK H QCZaringQVcurrenUN~VH QR[]O KhQsObLQRKfRJUY^]MQcYZOslashJ H Me[W^ KhZ[UWQc^eJUY H MeJUacuteNP^U~NPO H N[PJ H MN HH MeJ5U~NihdQcN H QR[]O[SXehZJ[]Qc[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYbnhQRK H [PhYltWQ H M H MeJFJUP[]fcj H QR[]OIacute[SX H MeJNPb H QVUPJ(bn[]O H []jhbLNPO centEgraveJOtildehZJUNP^QcfVm H N`PJUO`QcO H [ NPbLbn[]jO H ^MeJTbn[]ZOslashKj H N H QR[]Oa[SX H MJTJUP[]fcj H Qc[]OaJBjN H QR[]O`[SX H MeJIacuteNPb H QUPJtimesbn[]O H []jehOtildeQcYKEgraveJLhYXiacute[PhlZOslashJU^QcO H MehJLJyZaringNPQcO Y H JLK-Yaring

uumlnyacute|thornLyuml13 y

yenKbrvbarsect =4 acirc $ hf^ltO H hZ[W^jb H QR[]O[SX$NOslash^mWONSZaringQcbLNPfYbMeJZOslashJSaring JTYJUNihbdMX[Ph H MeJOtildeKNih H Q H Qc[]O[SX H MeJaumlQZ N[PJadOumlcopytimesOslashszliglOuml UgraveUcircUacuteUuml szligYYacutejWMQcbdMZaringQcOQuVZaringQVcurrenLJUY H MeJbnhQ H JLhQR[]Oocirc|adOumlcopytimesOslashgtszliglOuml UgraveUcircUacuteUuml szligYYacutej^eJUYZbnhQRcentEgraveJU^aeligQcOa2j^ MQcfRJNPYZYZjZaringQcO[

H MN H NPO`[PK H QZaringNPf9KNih H Q H Qc[]O JkWQsY H Ye H MJTQcYZYZjJTQcY H [ bn[]ZOslashKj H J H MQcYiexclY[]fcjWVH QR[]OO^ G QsObnJ H MeJ YJ H [SX(NPfcfy^e[]ZaringNPQsOYaumlMNPYIacuteOe[ H NaY H hjb H jehZJOslash[SXcopyUPJUb H [PhQsNPfYKNPbnJSeQ H QcYauml^Qz bLjf HUacuteH [abn[]ZOslashKj H J H MeJ ^eJLhdQVU~N H QUPJOslash[SX H MJ bnhQ H JLhQc[]ONPb|Vbn[Ph^QcO[ H [ H MJ^e[]ZaringNPQsOY^_[ bLQchbLjFZUPJUO H H MQcY`KhZ[PcentfcJZeyacuteWFJNiKKfmN H hNPOYYX[PhlZ N H QR[]O| H [ JUNPbM^e[]ZaringNPQsOOeYZjbdM H MN H Q H centEgraveJUbn[]ZOslashJUY`bn[]OWVH QcOj[]jYZfVm^eJLKEgraveJUO^eJUO H []O NPO JUP[]fsj H QR[]O KNihNSZOslashJ H JLhagrave^MeJ`bnhQ H JLhQR[]Ocent=JUbn[]ZaringJUYT^eJLKEgraveJUO^eJUO H []Obagravearingocirc|aagravejgaacute ocirc|adOumlcopytimesOslashaagravejszliglOuml UgraveUcircUacuteUuml aagravejszligYYacuteaagravejj^QO H MQcY^mBONSZaringQcbLNPfTYbMeJZOslashJSeiexclWFJ bLNPO hJUNP^QcfVm H N`PJQcO H [ NPbLbn[]jO H N K=[]YYZQRcentfRJU~NihQsN H QR[]O[SX H MeJ ^eJUYZbnhdQRK H [PhYWQ H M H MeJJUP[]fVUWQcO[ hZJ[]QR[]OYk|adOuml times j aacuteOumlcopytimesaagravej^

^QiexclJLhdQVU~N H Qc[]O [SX H MeJaumlbnhQ H JLhQc[]O jYZQcO[OslashYZMNiK=JOtilde[PK H QZaringQVcurrenUN H QR[]O H MJL[PhZJZaringYaringMeJNtildebnhdQ H JLhQR[]OocircOcircaagravej9QcY H MeJUOIacute^JLhQVUPJU^TNPbLbn[Phd^QcO[ H [5agrave H MNPO`WY H [ H MeJFbn[]ZaeligVKj H N H QR[]Oeuml[SX H MeJ0jfRJLhQcNPOeuml^eJLhQU~N H QVUPJaelig[SX_ocircjYZQcO[YZMNiKEgraveJaelig[PK H QZ QVcurrenUN H QR[]OKhQcObLQcKfRJUYeOWMQcbMQcYIacuteOJWQsO H MeJNihZJUN [SXNPb H QVUPJ bn[]O H []jehY^$ YXqNihOslashNPYH MeJF^JLhQVUiN H QR[]OTQcYbn[]ObnJLhOeJU^e H MeJU~NihdQcN H QR[]OIacute[SX H MeJF^JUYZbnhQRK H [PhdYWQ H M H MeJJUP[]fVUBQsO[OslashhZJ[]QR[]OY_Oumlcopytimesaagravej(NPO^Y[ordmWQ H MagravetZIacutejY H centEgraveJ H N`PJUOaQcO H [aringNPbLbn[]jO H ^

^vF[]ZOslashKj H N H Qc[]O [SX H MJaumlJUP[]fcj H QR[]OJjN H Qc[]OXh[]Z H MeJauml^eJLhQU~N H QVUPJSaringnot hZ[]Z H MeJNtilde^JLhQVUiN H QVUPJSeWFJNtilde^eJU^jbnJ H MeJUPJUfR[WbLQ H mordfUPJUb H [Ph$[SX H MeJFNPb H QVUPJbn[]OWVH []jeh H MN H WiexclQcfcfZaringN`PJQ H JUP[]fUPJiexclNPYXqNPY H NPY$KEgrave[]YZYQRcentfRJ H [WNih^YNtildeNgZaringQcOQCZIacutejFZ[SX H MeJOtildebnhQ H JLhdQR[]OO^ObLNPYJUacute[SX9hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhYe H MeJUacuteJUP[]fcjWVH QR[]OeumlJjN H QR[]Oeuml[SX H MJaringNPb H QVUPJaringbn[]O H []jhTQcYOtilde^QEgraveJLhZJUO H XhZ[]Z H MJtimes[]OJaringbn[]ZaeligVKj H JU^ Xiacute[Ph hZJ[]QR[]OWV4QcO^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhY^ G []ZOslashJ`NP^^Q H QR[]ONPf H JLhZaringYNiKKEgraveJUNihiexclNPO^`Y[ Q H QcY[SX$KhdQZOslashJaumlOeJUbnJUYZYQ H m H [bn[]OYZQc^JLh H MeJ H WNtilde[o`WQcO^Y([SX^eJUYZbnhQRK H [PhY(YJLKNihN H JUfmS^

9J H jYFOe[ H J H MN HFH MQcY[PJUOeJLhNPfKXiacutehNSZOslashJWF[PhY` bLNPO centEgraveJNiKK-fcQRJU^ H [ordmZaringNPOm ^QEgraveJLhVJUO H NiKKfsQcbLN H QR[]OYcentm[]OfVmbMNPO[]QsO[ H MeJT^eJUYbnhQRK H [PhY^ H MNPYcentEgraveJLJUOOe[ H NicentfmNiKK-fcQRJU^ H [ordmZOslash[UBQsO[aelig[Pcent~5JUb H Y(^J H JUb H QR[]O QcOoUBQs^eJL[timesYZJjeJUObnJUY(NPbjQchZJU^ JUQ H MeJLhWQ H MN Y H N H QcbawS]JUMNPOWV4XFJUYZY[]O J H NPfd^Ve sSs fLbjiexcl[PhUacuteNregZOslash[Pcent-QcfRJTbLNSZOslashJLhdNawS]JUMNPOWVXFJUYZY[]O J H NPf)^Ve sSs fncentj^ JUYZbnhQRK H [PhdYoZ Nm NPfcY[centEgraveJ YJBjeJUO H QcNPfcfVm jYJU^ H [QZaringKhZ[UPJ H MeJu-ONPfBhZJUYZjf H NPYyQ H MNPYampcentEgraveJLJUOaeligKh[PK=[]YZJU^timesQsOtawSPJUMNPOWV4XFJUYZYZ[]OOslashJ H NPfd^VesSs fLNOgravej^^f^~OacuteETHEgraveKEacute18=KETH32EacuteltOacuterEacute0frac34Ntilde83ltOacuteONtildeshyIacute=gtNtildeshyEumltIcirc=39IgraveFIacute5Igrave O QZaringN[PJumlOtildegta2atildeltszligaumlj QcYNxXqjOb H QR[]O ^eJOJU^ Xiacute[Phpounda2atildeshyszligaumlFj OumlOcirccenteuWMeJLhZJOumloslashQcY H MeJ QZaringN[PJ ^e[]ZaringNPQcOO^ltMeJ QCZaringN[PJ ^e[]Z NPQcOQcYIacutebn[]OYZQc^eJLhJU^ H [ cent=JZaringNP^eJjeK`[SX H WF[KNih H Ylaquoa not Q[^fjaring H MJyXiacute[PhZJ[PhZ[]jO^`KNih H bn[]O H NPQsOQcO[ H MeJT[Pcent~JUb H Y H [

uumlnyacute|thornLyuml13

f s $amp)(+-)013021+345627893lt=gt9A6CBYJ[]ZaringJUO H e=Oe[ H JU^frac34OumlcopytimesOslashFe-NPO^ H MeJaumlcent-NPbY`[PhZ[]jO^aKNih H Oe[ H JU^Ouml UgraveUcircUacuteUuml ^MeJauml^QcYZbn[]OWVH QcOBjQ H m`YJ H QcYOtildeNbLjehlUPJ Oe[ H JU^bYacute H MN H ^JOeJUY H MeJ cent=[]jO^NihYmcentEgraveJ H WNtildeJLJUO H MeJH WNtilde[ ^[]ZaringNPQcOY^ J H MJUOaYJUNihbdMtXiacute[Ph H MeJ H WNtilde[^e[]ZaringNPQsOYyacuteOuml UgraveUcircUacuteUuml NPO^wOumlutimes OslashWMQcbdMtZaringQcOQZaringQVcurrenLJ H MeJbnhQ H JLhQR[]Oocircuml[]QVUPJUOcentmumla2jehZJZaringQcO^eJU^ MeJLhZJSaring

ocirc|adOuml UgraveUcircUacuteUuml szliglOumlcopytimesOslashgtszligYYacuteQjumlaacute uuml thorn UgraveUcircUacuteUuml yuml a2atildeltszligaumlgtszliglOuml UgraveUacuteUuml j atilde auml $ uuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOuml timesOslash j atilde aumlamp uacuteucirc thorn yuml uuml thorn otilde)yuml a2atildeshyszligaumlFj THORN5OaumlbnhQ H JLhdQR[]Oa2je H MeJ|hY HH WNtilde[ H JLhlZaringY9NihJyhZJ[]QR[]OWVcent-NPYJU^ordfWMQsfRJ H MeJ H MQRhd^ H JLhlZQcYcentEgrave[]jO^NihYmVcentNPYJU^O^MeJiexclXqjOb H QR[]OYyacuteuuml thorn UgraveUcircUacuteUuml yuml egtuuml thorn timesOslash yuml NPO^tuuml thorn otilde)yuml NihZJaumlhZJUYKEgraveJUb H QVUPJUfmH MeJ^eJUYZbnhdQRK H [PhY[SX H MeJFcentNPbl`[PhZ[]jO^timesKNih H ei[SX H MeJ[Pcent~JUb H Y H [OtildeYJ[]ZOslashJUO H NPO^Iacute[SXH MeJaumlbn[]O H []jeh^KMeJauml^eJUYbnhQRK H [PhYuZ Nm centEgraveJordf[]fR[PcentNPfcfm N HH NPbMJU^ H [ H MeJOtildeJUP[]fVUWQcO[hZJ[]Qc[]OY(NPO^Y[ ^eJLKEgraveJUO^ []Ofrac34Ouml timesOslash [Ph5OumluUgraveUcircUacuteUuml^

G QcObnJ H MeJaringYJ H [SXNtildeNPfsf$^e[]ZaringNPQcOYUacuteMNPYOtildeO[ H N Y H hjb H jehJtimes[SXUPJUb H [PhQcNPfyYZKNPbnJSeWFJIacutebLNPOeumlOe[ H bn[]ZOslashKj H J H MeJaelig^eJLhQVUiN H QVUPJT[SX H MJIacuteKhJUBQR[]jYbnhQ H JLhdQR[]OaNPbLbn[Ph^QcO[H [euml^e[]ZaringNPQcOY^ltMJLhZJX[PhJSe H [bn[]ZOslashKj H JNPO[PK H QZaringNPfFY[]fcj H Qc[]OOe9Neuml^mWONSZaringQcbLNPfYZbdMeJZOslashJOtildeQcYQcO H hZ[W^jbnJU^WMeJLhZJJUNPbM^[]ZaringNPQcO cent=JUbn[]ZaringJUY(bn[]O H QcOBje[]jYfVm ^eJLKEgraveJUOWV^eJUO H []ONPO JUP[]fcj H QR[]O KNihdNSZOslashJ H JLhagrave^59[ X[PhZaringNPfcQVcurrenLJ H MQcYQc^eJUNe WNtildeJxZaringNmYZjKKEgrave[]YJ H MN HTH MJ JUP[]fcj H Qc[]OKhZ[WbnJUYZYtimesQcY H [ H NPfsfVm^eJ H JLhlZaringQcOJU^centm H MJ JkeQcY5VH JUObnJiexcl[SXgNyXqNSZaringQcfmIacute[SXgNiKK-fcQcbLN H QR[]OY| H MN HNtildeH hNPOYXiacute[PhlZaringY H MeJiexclQsOQ H QcNPfe^e[]Z NPQcOYOumlcopytimesOslashgta s jNPO^tOuml UgraveUcircUacuteUuml a s jQsO H [ H MeJIacutebLjehZhZJUO H ^e[]ZaringNPQcOYyacuteOumlcopytimesOslashKaagravejNPO^frac34Ouml UgraveUcircUacuteUuml aagravejaring

OumlutimesUcirca s j ntilde OumlcopytimesaagravejYacutea s j ntilde Yacuteaagravej WiexclMeJLhZJVQaacuteiV[Ph Kf5 iumlMBjY H MeJOtildehJ[]QR[]OY(JUP[]fVUPJ H [WNih^YiexclNPO [PK H QZaringNPf9Y[]fcj H QR[]O^MeJ H hQRKfcJ H Ouml UgraveUcircUacuteUuml aagravejszliglOumlcopytimesOslashOaagravejszligYYacuteaagravejordmZIacutejY H NPb H NPYNregZaringQcOQZ QVcurrenUQcO[TYZJjeJUObnJgX[Phocirc|adOuml UgraveUcircUacuteUuml szliglOumlcopytimesOslashszligYYacutejWiexclMeJUOagrave JUP[]fVUPJUY^MeJ5XqjOb H QR[]ONPfOocircOcircadOuml UgraveUacuteUuml aagravejszliglOumlcopytimesOslashaagravejszligYYacuteaagravejjMNPY H [ bn[]OOgraveUPJLhY[PJ H [WNih^Y H MeJpoundZaringQcOQCZIacutejFZ UiNPfcjeJeuml[SXregocirc2NPYfrac34agraveacircntilde ograveegrave^ MeJbnhQ H JLhQR[]O H MeJUO centEgraveJUbn[]ZOslashJUYaring

ocirc|adOuml UgraveUcircUacuteUuml aagravejszliglOumlcopytimesOslashaagravejszligYYacuteaagravejjaacute thorn yuml uuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszliglOuml UgraveUcircUacuteUuml aagravejj atilde auml 5$ thorn yuml uuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashKaagravejj atilde aumlj uacuteucirc thorn yuml uuml thorn otilde)yuml a2atildeshyszligaumlFj THORN adh]jMJoXqjOb H Qc[]ONPf_ocircOcircadOumlyacuteUgraveUacuteUumllaagravejszliglOuml timesOslash aagravejszligYYacuteaagravejjaeligQcY H MeJLhZJUNX H JLh O[ H JU^egraveocirc|aagraveje0NPO^H MeJ ^eJUYZbnhQcK H [PhYuuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashKaagravejj NPO^icircuuml thorn UgraveUcircUacuteUuml yuml a2atildeltszligaumlgtszliglOuml UgraveUcircUacuteUuml aagravejjaringNihZJ`hZJUYKEgraveJUb|VH QVUPJUfmUacuteO[ H JU^laquouuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejgNPO^laquouuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszligYagravejeWMQcbdMTfRJUNP^Y H [ H MeJXiacute[]fcfR[WQcO[

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ fSfJkWKhZJUYZYQR[]OOaring

ocirc|aagravejumlaacute thorn yuml uuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszligYagravej atilde auml $ thorn yuml uumlgtthorn timesOslash yuml a2atildeltszligaumlgtszligYagravej atilde aumlj uacuteucirc thorn yuml uumlgtthorn otilde)yuml a2atildeshyszligaumlFj THORN af s j5OOtildebn[]O H hdNPY H WQ H MUacute[ H MeJLh9NPb H QVUPJFbn[]O H []jehdY9NiKKh[]NPbMeJUYe H MeJy^mWONSZaringQcbLNPfPYZbdMeJZOslashJQcYtimesMeJLhZJ^QRhJUb H fVmQcO H h[B^jbnJU^QcO H MeJbnhQ H JLhQc[]OO^ Q H MYZjbdMNeumlYZbdMeJZOslashJSe H MeJQcO H hZ[W^jb H QR[]OOacute[SXiexclNPO NPb H QVUPJbn[]O H []jehOslashJUP[]fVUWQcO[ WQ H Msup1agraveQcYaeligY H hNPQ[]M H Xiacute[PhYWNih^O^iexclJUObnJ WNtildeJbn[]OYZQc^eJLh H MN H Yacuteaagravej QsYoZaring[B^eJUfsfRJU^ NPY NPO NPb H QUPJOacutebn[]O H []jh H MN Hbn[]OUPJLhY[PJUY H [WNih^Y H MJgONPfEgraveJkWKEgraveJUb H JU^YJ[]ZOslashJUO H N H QR[]OO^9J H Yacutea s jtimescentEgraveJ H MeJQcOQ H QcNPfNtildebLjhYUPJa^eJOJU^centm H MeJjYJLh^ JahZJUbLNPfcf H MN H WFJYJUNihdbMtXiacute[Ph YacuteaagravejNPYNaringbLjehlUPJaumlJUP[]fVUWQcO[aringNPbLbn[Ph^QsO[ H [ H MeJgXiacute[]fcfR[WQcO[ordm5 aringaelig YacuteadTHORNOgraveszligYagravejaelig agrave aacuteegraveeuml WiexclQ H MigraveYacutea s j|aacuteegraveYacuteshyiacute afSfjWMJLhZJ_euml`QcY H MJ_UPJUfR[WbLQ H mUPJUb H [Ph([SX H MeJUacuteNPb H QVUPJOtildebn[]O H []jh^MeJ_Z NPQcO KhZ[PcentfRJZfcQcJUYFQsO-O^QcO[ H MeJiexclUPJUfR[WbLQ H meumlXhZ[]Z H MJUacutebnhdQ H JLhQR[]Opoundaf s jFQcO [Ph^JLh H [ordm[PJ HH MeJXqNPY H JUY H bLjhYUPJaumlJUP[]fcj H Qc[]O H [WNih^Y H MeJordfONPfYJ[]ZaringJUO H N H QR[]O^^ ^iexclEacuteltIacuteETHNtildeFETHEacuteshyOacute Eacute10wETH9Igrave8ltIgraveFEgravegt+NtildeFETH3gt+ltIgraveumlEacute10frac34ETH9Igrave=KEgrave13ETHIgraveFEgraveEacuteshyOacute5Oeuml[Ph^eJLh H [ [Pcent H NPQsO H MeJOslashJUP[]fcj H QR[]OeumlJBjN H QR[]Oe H MeJaringbnhQ H JLhQc[]OxocircOcircaagravej5ZtimesjY H centEgraveJ^QV=JLhZJUO H QcN H JU^WQ H MhZJUYKEgraveJUb H(H [agrave^MeJOtildeQcO H J[PhNPfcentEgrave[]jO^Y^eJLKEgraveJUO^ []Otagrave NPO^H MeJauml^JUYZbnhQRK H [PhdYyacuteuuml thorn UgraveUcircUacuteUuml yuml a)jNPO^wuuml thorn times Oslash yuml a)juZaringNm NPfcY[aring^JLK=JUO^[]Otagrave^9J H jY^eJOJ H MeJordfXiacutejOb H QR[]ONPfuumlOa2atildeltszligaumlgtszligYagravejYZjbM H MN H aring

uumlOa2atildeltszligaumlgtszligYagravej|aacute uuml thorn UgraveUacuteUuml yuml a2atildeltszligaumlgtszligYagravej QVXcopya2atildeltszligaumljwOuml UgraveUcircUacuteUuml aagravejuuml thorn times Oslash yuml a2atildeltszligaumlgtszligYagravej QVXcopya2atildeshyszligaumlFjtOumlcopytimesOslashKaagravej af jMJbXqjOb H QR[]ONPfuuml thorn UgraveUcircUacuteUuml yuml a)jNPO^Huuml thorn times Oslash yuml a)j`NihZJ^eJOJU^ []O H MeJxWMe[]fRJ7QZaringN[PJ^e[]Z NPQcOtOumliexcl^FMeJUOe H MeJaumlbnhQ H JLhQc[]OocircOcircaagravejuWhQ H JUY(NPYaring

ocirc|aagravejOcircaacute uacute uumlOa2atildeshyszligaumlKszligYagravej atilde aumlj uacuteucirc thorn yuml uumlgtthorn otilde)yuml a2atildeshyszligaumlFj THORNordfaacuteocirc aagravej ocirc cent aagravej af]jWMJLhZJgOuml QcY H MeJaumlQCZaringN[PJT^e[]ZaringNPQsOOeeNPO^Oaring

ocirc aagravej|aacute uacute uumlOa2atildeshyszligaumlKszligYagravej atilde aumlocirc cent aagravejOcircaacute uacuteucirc thorn yuml uuml thorn otilde)yuml a2atildeshyszligaumlFj THORN

uumlnyacutenthornnyumll13YSordmY_F

f $amp)(+-)013021+345627893lt=gt9A6CB5OOtilde[Ph^eJLh H [bn[]ZaringKj H J H MJ0^eJLhQVUiN H QVUPJy[SX H MJNtildebnhQ H JLhdQR[]Olaquoocirc aagraveje H MJNtilde^QcYbn[]O H QcOBjWVQ H QcJUY|ZtimesjY H JkWKfcQcbLQ H fVmIacutecentEgraveJ H N`PJUOQcO H [IacuteNPbLbn[]jO H ^ not [Ph(YZjbdM NIacuteKjehZKEgrave[]YJSeSWFJ5hY HhZJUbLNPfsf-N[PJUOeJLhNPf H MeJL[PhJZbn[]ObnJLhOQcO[ H MeJUacute^eJLhQVUiN H QVUPJ[SX9N H QZOslashJnV4^eJLKEgraveJUO^JUO HbnhQ H JLhQR[]OO^9J H jY(^eJ-OeJyOumlcopytimesaagravejNPYNOslashhZJ[]Qc[]OQcObLfcj^eJU^QcO H [regOumlordf^yacute5 q Ntilde_ f^1ltuumlStimesBiexcl centpoundcurrenyencurrenbrvbarsectumlordfcopynotlaquo3shyyenLregmacrcurrenRlaquodegcurrenbrvbarlaquo Oumlplusmna s szligsup2|iexcljsup3acute Rlaquomicromiddotparagtltocirc|aagravejOcircaacute w thorn yuml uumlStimesYa2atildeltszligaumlgtszligYagravej atilde auml~sup3cedilsectsup1ltlaquoordm ocirc agrave aacuteocirc7raquodaagravejOcircaacute thorn yuml aelig uumlStimesaelig agrave atilde auml uacutefrac14 thorn yuml uumlStimesYafrac34frac12 eacuteAgraveiquestsup1AacuteAtildeAcircYj THORNAuml sectsup1ltAringPfrac12AEligreg(centsectsup1Ccedilbrvbar_paracurrenyenshyltregLLEgraveacutecurrensup2uml aelig Oumlcopytimesaagravej RlaquomicroeacuteAgraveiquestsup1AacuteAtildeAcircEacuteregEcirccentsectsup1copysup1laquoregEumlreg(laquo Auml brvbarAringsup2microacutelaquocurrenRAringordfpound RparaIgravecurren aelig Oumlcopytimesaagravej_IacuteMJ^JLhQVUiN H QVUPJ[SXshyocircWQ H MaelighZJUYZK=JUb HampH [yagraveaeligQcY H MJyacute0jfRJLhdQcNPOIacute^JLhQVUiN H QVUPJ([SXocirc|adOumlcopytimesAjQcO H MeJOtilde^QRhJUb H QR[]O [SXEumlfrac12umleWMQcbdM bn[]ZaringKj H N H QR[]O QcY[]QVUPJUO QsO iexclKKEgraveJUO^Qkaring ^FMeJUiNihQcN H QR[]Oeuml[SX5ocirc QcYOtilde^jeJ H [ H MeJUiNihQcN H Qc[]O[SX H MeJordmXiacutejOb H QR[]ONPfOcircuuml]timesa2atildeltszligaumlgtszligYagravejaumlNPO^H [ H MeJgZOslash[ H Qc[]O[SX H MeJOtildeQcO H J[PhNPf^e[]ZaringNPQsOOumlutimesaagravej^ Y(Naeligbn[PhZ[]fcfcNihYm [SXltMJL[PhZJZfeFWFJordf[PJ H aringv q q shy9 5lt f^yenIcirccopyNcentampcentcopyIuml-Iumlsup1currenfcentyenYsectnot -sectsup1Ymicro-currenRpound Rreglaquofrac34Oumlgaagravejampreg(centpound -microETHcopyIumliexclcurrensup2uml Auml currenCIuml RAringordfcentsup3yOuml timesOslash aagravejNtilde RlaquomicropoundOumlyacuteUgraveUacuteUumllaagravejOgravecentyenfrac34Iumlsup1 brvbarAringsup2 brvbarmicro_Egraveh iexclpoundYcurrenbrvbarCcedildreglaquoNOacutehreglaquo5_Aringumllt -shytYacuteaagravejAuml sectETHregmacrshy_sectOcircCcedilRltparaOtildecurrendshyltregLLEgraveregEcirccentyacuteeumlEumlIacuteOumlsectsup1Uumlordfcopynotlaquo3shyyenLregmacrcurrenRlaquouumlOa2atildeltszligaumlgtszligYagravejreg(centcentordfcopyIuml-Iumlsup1currenfcentyenmicroOcircIgravecurrenOcirccentltfrac34Iuml RAringsup2 -_paraEgraveshycurrenRlaquo5LreglaquocopycurrenRcopynotcentcedilreglaquoyOumlcopytimesOslashKaagravejW Rlaquomicro Ouml UgraveUcircUacuteUuml aagravej_copy3pound REgraveampJmicrobrvbarregEcirccentltshycurrenRlaquo5LreglaquocopycurrenRcopynotcentJ -shyltAringPcurrenfcentcentYacuteaagravej_Iacutetimes Agravelaquocurrenbrvbaruuml thorn times Oslash yuml Rlaquomicroruuml thorn UgraveUcircUacuteUuml yuml sup3sectsup1Ccedilf brvbarparacopy5iexclcurrensup2umlwuumlreglaquoOslashAringordfcentIumlshydLreg(Ccedilbrvbar_paraEgraverOumlutimes OslashaagravejAgrave Rlaquo3microOuml UgraveUcircUacuteUuml aagravej_IacuteUgraveOumlsectNcopyNcentampsectmicroETH_Aringordfreg(CcedilR brvbarLregCcedilRcurrensup2umlordfocirc|aagravej Auml AringregLordfcent fcent_ordm

ocirc7raquo)aagravejOcircaacuteUacute thorn yuml aelig uumlaelig agrave atilde auml uacutefrac14 thorn yuml uumlOaLUcirc eacute iquestsup1Aacute j THORN uacuteucirc thorn yuml uumlNaeuml eacuteHj THORNAuml sectsup1ltAringPacute uumlNAringfrac34Iuml3AringP_centlt_laquocentYsectUumlordfcopysup1poundUgraveIumlcurrensup2umlguumlh -shyltAringPcurrenfcentcentordfYacuteaagravej_ordmW uumlNaacuteacircuuml thorn UgraveUacuteUuml yuml uuml thorn times Oslash yuml sup3eacute sectsup1ncopynotlaquo5reglaquo3currenRAringpound RparaIcirccurrensup2umlordfYacuteaagravejmicrobrvbarreg(AringshydmicroampumlAringPcurrenRpound Ouml UgraveUacuteUuml aagravejIgravecurrenOumlutimes OslashKaagravejsup3eacuteAgraveiquestsup1Aacutesectcopysup1laquoregLEumlreglaquo Auml RAringPmicroOcirclaquocurrenRAringordfpound Rpara1Igravecurren aelig Oumlgaagravejj RlaquomicroUcircYacutesectsup1jCcedilbrvbar_paracurrenyenshyltregLLEgravenCcedilbrvbarshydIgravecurrenRAringjcurrensup2uml_Oumlyaagravej_Iacute

plusmngLMOMraquo aring JbLNPO NiKKfVm MJL[PhZJZ f H [ H MeJ ^[]ZaringNPQcO Oumlutimes OslashaagravejaringNPO^ H [ H MeJ^e[]Z NPQcOtOuml UgraveUcircUacuteUuml aagravej^ ^^QcO[ H MeJ H WF[aringJjN H QR[]OYeFWFJOtilde[Pcent H NPQcO H MeJTbn[PhZ[]fcfsNihYmS^ H QcYIacuteOe[WY H hNPQ[]M H Xiacute[PhYWNih^ H [[PJ HtimesH MeJ ^eJLhdQVU~N H QUPJ [SX H MeJ bnhQ H JLhQR[]O ocirc aagravejaringWFJ H N`PJ5OumlyaagravejOcircaacuteAumlOuml H MeJiexclQZaringN[PJ^e[]Z NPQcOta not QV[^ j^MJUOOePcentmaeligJkWKfcQcbLQ H fVm H N`WQcO[

uumlnyacutenthornnyumll13YSordmY_FY

yenKbrvbarsect =4 acirc $ fH MeJtimes^QcYZbn[]O H QcOBjQ H QRJUY(QsO H [ NPbLbn[]jO HUacuteH MNPOF`BY H [ H MeJtimesbn[PhZ[]fcfcNihlmSe H MeJtimes^eJLhQVUiN H QVUPJ[SXocirc aagravejQcYcopy[]QVUPJUOacentmKaring

ocirc raquo aagravejumlaacute uacuteucirc thorn yuml uumlNaeuml eacutej THORN uacutefrac14 uumlOaLUcirc eacuteAgraveiquestsup1Aacutej THORN $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde auml thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afj

q centUWQR[]jYZfVmSe H MeJ7YJUbn[]O^ H JLhlZ [SX H MeJ7^eJLhQVUiN H QVUPJ afjaQcYcurrenLJLh[ YZQcObnJ H MeJJk H JLhONPf(centEgrave[]jO^NihYm aelig OumlD[SX H MeJ`QZaringN[PJaQcYkBJU^^OcircJLKfcNPbLQsO[` uumlN_WQ H MQ H YJkWKhZJUYZYQR[]OOeWNtildeJyO^Oaring

ocirc7raquo aagravejumlaacute uacuteucirc thorn yuml aduuml thorn UgraveUcircUacuteUuml yuml1 uuml thorn timesOslash yuml jaeuml eacuteHj THORN $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde auml thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afmacr]jMJUacute^JLhQVUiN H QVUPJOtilde[SXocirc cent aagravejQcY(bLfcNPYZYQcbLNPfdaring

ocirc7raquocent aagravejOcircaacute uacuteucirc thorn yuml a uuml thorn otilde)yumld huuml thorn otilde)yuml7 eacutejaeuml eacutej THORN af]jWMJLhZJ a2atildeshyszligaumlKszligYagravejQcY H MeJaumlbLjehlU~N H jehJ[SXQYacutea2atildeltszligaumlgtszligYagravej^MeJLhZJXiacute[PhZJSe H MeJOtilde^eJLhQVUiN H QVUPJ[SX H MeJgWM[]fRJOtildebnhQ H JLhQR[]O QsY H MeJordfXiacute[]fcfR[WiexclQcO[aring

ocirc raquo aagravejpoundaacute $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde aumlamp thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afzSj uacuteucirc thorn yuml aduuml thorn UgraveUcircUacuteUuml yuml uuml thorn timesOslash yuml uuml thorn otilde)yuml huuml thorn otilde)yuml eacutejaeuml eacutej THORN

^ ^~THORNUgrave2FEgraveOIgraveIcircIcirclt2EacuteltOacute Eacute0frac34ETH9Igrave8shyIgraveFEgraveEcirc+NtildeFETH3Ecirc+ltIgraveNtilde7==EacuteltEgrave7813Oacute14 ETHOEacute ETH9IgraveOacuteszligltOacuteshyEacuteOacuteAgrave+QIgraveFEumlEacuteAtilde=13ETH+ltIgrave5=KETHOEacuteshyEgravesup1euml5Oaelig[Ph^eJLh H [Tbn[]ZaringKj H J H MeJuUPJUfR[WbLQ H mUPJUb H [PhcopyeumleSWNtildeJMNUPJ H [yZ N`PJQ H NiKKEgraveJUNihyQcOH MeJhY HH WF[ ^e[]Z NPQcOaQcO H J[PhNPfcYiexcl[SX afzSjcentmJkWKhZJUYZYQcO[ H MeJZ NPY_XiacutejOb H QR[]OY[SX H MeJgUPJUfR[WbLQ H meumlQ^iexclJLhZJiexclWFJ H N`PJ H MeJ5[PJUOeJLhNPfbLNPYZJ5WiexclMeJLhZJ H MeJ^JUYZbnhQRK H [PhdYZaringNm ^eJLKEgraveJUO^ []OXiacuteJUN H jehZJUY5[]fR[PcentNPfsfVmN HH NPbMeJU^ H [ H MJtimeshJ[]QR[]OeumlNPO^eumlY[oZ Nm`^JLK=JUO^a[]O agrave^ JZOslash[W^eJUf$JUNPbdM^eJUYZbnhQRK H [PhIacuteNPYtimesNabn[]ZIacutecentQcON H QR[]OOacute[SXuXJUN H jhZJUYy[]fc[PcentNPfcfVmeumlN HH NPbMeJU^

uumlnyacutenthornnyumll13YSordmY_F

f $amp)(+-)013021+345627893lt=gt9A6CBH [ H MJOtildeJUP[]fVUBQsO[OslashhZJ[]QR[]OY_OumlcopytimesOslashKaagravejF[Ph_Ouml UgraveUacuteUuml aagravejaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejpoundaacuteAElig thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn timesOslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejszligiumlViumlViumlVszligagrave thorn timesOslash yumlaacute aagravejjuuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszligYagravejpoundaacuteAElig thorn UgraveUcircUacuteUuml yuml a2atildeltszligaumlgtszligagrave thorn UgraveUcircUacuteUuml yuml aagravejszligagrave thorn UgraveUcircUacuteUuml yumlcent aagravejszligiumlViumlViumlVszligagrave thorn UgraveUcircUacuteUuml yumlacirc aagravejjafi]j

WMJLhZJSaring agrave thorn(atilde yumlauml aacute 7aring thorn yuml5aelig thorn(atilde yumlauml a2atildeltszligaumlgtszligYagravej atilde auml WQ H Mpounda jOcircaacuteacircaVltjF[Pha Kf5 jiuml afh]j9J H jYuhY H bn[]ZOslashKj H J H MeJIacute^eJLhQVUiN H QVUPJOtilde[SXuuml thorn timesOslash yuml eFWFJgO^Oaring

aelig uuml thorn times Oslash yumlaelig agrave aacute aacuteccedilaumlegrave aelig thorn timesOslash yumlaelig agrave thorn times Oslash yumlauml a2atildeltszligaumlgtszligagrave thorn timesOslash yuml aagravejszligiumlViumlViumlVszligagrave thorn timesOslash yumlaacute aagravejj aelig agrave thorn timesOslash yumlaumlaelig agrave aagravej a s j J MNUPJOe[W H [bn[]ZOslashKj H J H MeJ ^eJLhdQVU~N H QUPJ [SXagrave thorn timesOslash yumlauml NPbLbn[Ph^QcO[ H [umlagrave^ JNiKK-fVm H MeJgMeJL[PhZJZigravefaumlNPO^WNtildeJy[PJ H aring

aelig agrave thorn timesOslash yumlaumlaelig agrave aacute $ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde auml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacutej THORN a fj

JLKfcNPbLQcO[ H MeJNtilde^eJLhdQVU~N H QUPJUY9[SX3agrave thorn timesOslash yumlauml WQ H M H MeJUQRhJkWKhZJUYZYZQc[]OYa fj9QcOa s jeSWFJ[Pcent H NPQsO H MJXiacute[]fcfR[WQcO[iexclJkBKhJUYZYZQR[]OX[Ph H MJF^e[]Z NPQcOaeligQcO H J[PhdNPf[SX H MeJ^eJLhQVUiN H QVUPJ[SX H MeJT^eJUYbnhQRK H [Ph uuml thorn times Oslash yuml aring

$ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde aumlacircaacute aacuteccedilaumlordfegrave -eacute thorn timesOslash yumlauml $ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde auml

aacuteccedilaumlordfegrave eacute thorn timesOslash yumlauml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacuteHj THORN a S jWMJLhZJSaring

eacute thorn timesOslash yumlauml aacute $ thorn yuml aelig thorn timesOslash yumlaelig agrave thorn timesOslash yumlauml a2atildeltszligaumlgtszligagrave thorn timesOslash yuml aagravejszligiumlViumlViumlVszligagrave thorn times Oslash yumlaacute aagravejj atilde auml a ]jMJIacuteJkWKhZJUYZYQR[]OwXiacute[Pha jyacuteaacute a Kf jiexclQcYbn[]ZOslashKj H JU^QsO H MeJaeligYZNSZOslashJordmZaringNPOOeJLhiexclWMQcfRJKNmBQsO[N HH JUO H Qc[]O H [ H MeJ`^QRhZJUb H QR[]O[SX H MeJ`Oe[PhlZaringNPfcopyUPJUb H [PheNPO^rWFJ H MBjY

uumlnyacutenthornnyumll13YSordmY_Fsup2

yenKbrvbarsect =4 acirc $ fmacr[Pcent H NPQsO H MeJg[PJUOeJLhNPfgJkBKhJUYZYZQR[]OXiacute[Ph H MeJauml^JLhQVUiN H QVUPJOtilde[SXocircOcircaagravejaring

ocirc raquo aagravejumlaacute uacuteucirc thorn yuml aduumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn times Oslash yuml uumlgtthorn otilde)yuml d hreguumlgtthorn otilde)yuml eacuteHjaeuml eacutej THORN aacuteccedilaumlordfegrave eacute thorn timesOslash yumlauml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacuteHj THORN acircccedilaumlordfegrave eacute thorn UgraveUcircUacuteUuml yumlauml uacuteucirc thorn yuml aelig thorn UgraveUcircUacuteUuml yumlauml aeuml eacutej THORN aacuteccedilaumlordfegrave -eacute thorn timesOslash yumlauml $ thorn yuml aelig aelig thorn

timesOslash yumlaumlaelig agrave atilde auml acircccedilaumlordfegrave eacute thorn UgraveUcircUacuteUuml yumlauml thorn yuml aelig aelig thorn

UgraveUcircUacuteUuml yumlaumlaelig agrave atilde auml a j^ ^ecirccopyEgraveEacuteshyIacuteIumlETH39shyIgrave8shyIgraveFEgraveEcirc+NtildeFETH3gt+QIgraveETHOEacute3iexclNtildeshyEgrave78QIcircETH9IgraveumlIgrave+EacuteltEumlETHshyETHEacuteshyOacuterIgrave5euml1ONtildeFETH32EacuteltOacuteEacute10wETH9Igrave Ntilde=KETH3gt+ltIgrave=EacuteshyOacuteshyETHEacute1EgraveMJ[P[]NPf[SX H MQsYampKNih H QcY H [aumlbn[]ZOslashK-j H J H MeJ(JkWKhZJUYZYZQc[]Oaelig[SX H MeJuUPJUfc[BbLQ H mUPJUb H [PheumlwWMQcbdMregZaringN`PJUY H MeJUacutebLjehYUPJJUP[]fVUPJOtildeNPYXiacuteNPY H NPYFKEgrave[]YZYZQRcent-fRJ H [WNih^Y(NZaringQcOQCZIacutejFZ[SX H MeJaeligbnhQ H JLhdQR[]Oumlocirc^KO`[Ph^eJLh H [ ^JU^jbnJ H MJyUPJUfR[WbLQ H mwUPJUb H [PhOtilde[SX H MeJaeligNPb H QVUPJbn[]O H []jehQXhZ[]Z H MeJF^eJLhQVUiN H QVUPJ0[SX H MeJNtildebnhQ H JLhQR[]OOeWFJMNUPJ H [5Z N`PJFNiKKEgraveJUNih H MeJUPJUfR[WbLQ H moUPJUb H [PhUacuteQcO H MJTfcNPY HH WNtilde[ ^e[]ZaringNPQcOaQcO H J[PhdNPfcY(centm JkWKhZJUYYZQcO[ H MeJZ NPYcentEgrave[]jO^NihYm QcO H J[PhNPfcY^FMQcYbLNPOaJUNPYZQcfVm centEgraveJauml^e[]OeJTjYZQcO[MJL[PhZJZigravefe-^[]ZaringNPQcOQcO H J[PhNPfcYbLNPOeumlNPfVWNmWYiexclcentEgraveJIacuteJkBKhJUYZYJU^ NPYcentEgrave[]jO^NihYm QcO H J[PhdNPfcY^gtiexcl[WFJUPJLheOXiacute[PhYZQCZOslashKfcQcbLQ H mSe-fcJ H jYbn[]OYZQc^eJLh H MeJaringbLNPYJUYgWMeJLhZJ H MeJUYJOslashfcNPY HH WNtilde[`QcO H J[PhdNPfcYOtildeNihZJJBjNPf H [currenLJLhZ[eOgraveWMQcbMaringMNiKKEgraveJUOYX[PhZOslash[]Y H hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhdQRK H [PhY^S5OH MN H bLNPYJSeNPbLbn[Ph^QsO[ H [ H MeJaeligQcOeJBjNPfcQ H m[SXvNPjbdMOgravemV G bdMOgraveWNih H currenSe H MeJXiacuteNPY H JUY H^eJUbnhJUNPYJa[SXocirc|aagravejOslashQcY [Pcent H NPQcOeJU^ XhZ[]Zecirca jOslashcentm bMe[B[]YZQcOF[beuml aacute ccedilyeacute WMQsbMfRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[aeligJUP[]fcj H Qc[]O JjN H QR[]OOaringaelig Yacuteaagravejaelig agrave aacuteFuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yuml uuml thorn otilde)yuml eacute aacuteccedilaumlordfegrave ETHeacute thorn timesOslash yumlauml aelig thorn timesOslash yumlauml acircccedilaumlordfegrave ETHeacute thorn UgraveUcircUacuteUuml yumlauml aelig thorn UgraveUcircUacuteUuml yumlauml lteacute a macr]jUcircX H MJ^eJUYZbnhQRK H [PhY$^e[TOe[ H ^eJLKEgraveJUO^times[]OregagravetaiacutehZJ[]QR[]OeV4QcO^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhYjeH MeJgiexcl hZJU^jbnJUY H [ H MeJordfXiacute[]fcfR[WQcO[aeligJkWKhZJUYZYQR[]OOaringaelig Yacuteaagravejaelig agrave aacuteigraveuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yumldn reguuml thorn otilde)yuml7 eacutelteacute a ]j

uumlnyacutenthornnyumll13YSordmY_FY

f $amp)(+-)013021+345627893lt=gt9A6CB JaeligbLNPO`O[ H QcbnJ H MN HH MeJtimes^eJLKEgraveJUO^eJUObnJauml[SX H MJIacute^eJUYZbnhdQRK H [PhY[]OwagraveeEgraveNPO^aY[ []OH MeJiexclbLjehYUPJJUP[]fcj H QR[]OOeQcO^jbnJUY0NP^^Q H QR[]ONPf H JLhlZaringYFQcO H MeJiexclJUP[]fcj H QR[]O JjN H QR[]O[SX H MJFNPb H QVUPJ(bn[]O H []jeh^SMeJNP^^Q H QR[]ONPf H JLhZaringYQX[]jO^IacuteQcOoa macr]jbLNPOOe[ H hZJUNP^QsfVmcentEgraveJtimes[Pcent H NPQcOeJU^ WMJUO H MeJOslash^mBONSZaringQcbLNPfampYZbMJZOslashJaringQcYOtildeQcO H hZ[W^jbnJU^eumlNX H JLh H MeJOslashbn[]ZaeligVKj H N H QR[]Oa[SX H MeJaelig^eJLhQVUiN H QVUPJaeligjYZQcO[o0jfcJLhVA9N[PhNPOF[PJIacuteJBjN H QR[]OY^MjYe-Q H QcY[SX=KhQZaringJOeJUbnJUYZYZQ H m H [TQcO H hZ[B^jbnJ H MeJ^mWONSZaringQsbLNPfeYZbMeJZaringJiexclQcO H [ H MeJbnhQ H JLhQR[]OQ H YZJUfVXiexclQcO[Phd^eJLh H [JUNPYZQsfVmsup1[PJ H H MeJUYJaNP^^Q H QR[]ONPf H JLhlZ Y QcO bLNPYJa[SXhJ[]QR[]OWV^eJLKEgraveJUO^JUO H ^JUYZbnhQRK H [PhdY^MNPO`BY H [ H MeJUYJeumlNP^^Q H QR[]ONPf H JLhlZaringYeWFJ`JUOYZjehZJH MeJordfXqNPY H JUY H JUP[]fcj H QR[]O [SX H MeJIacutebLjehYUPJ H [WNih^YiexclNZaringQcOQZIacutejZ [SX H MeJTbnhdQ H JLhQR[]OO^ JeumlbLNPO NPfcY[hZJZaringNihY` H MN H H MeJUPJUfR[BbLQ H m[SX H MeJ bn[]O H []jhQsOa macr]j bLNPOcentEgraveJ K=[]YQ H QVUPJ[PharingOeJ[]N H QVUPJS^|MQcYaeligNPO QcO H JLhZJUY H QcO[eumlKh[PK=JLh H mOacute[SXiexclhZJ[]QR[]OWVcent-NPYJU^NPb H QVUPJ bn[]O H []jehY^ q O H MeJ bn[]O H hNihYm H [ centEgrave[]jO^NihYmVcentNPYJU^7NPb H QVUPJ bn[]O H []jehdYehZJ[]Qc[]OWVcentNPYJU^7NPb H QVUPJbn[]O H []jehYOslashNPfcfR[WYZ[]ZOslashJKNih H Ytimes[SX H MeJ bLjehYUPJ H [YZMehQsO`WMQcfRJ[ H MeJLhY(JkWKNPO^O^FMjY H MeJaumlQcOQ H QsNPfcQVcurrenUN H QR[]O QcYfRJUYYbn[]OY H hNPQsOeJU^O^^ macr^iexclEacuteltIacuteETHNtildeFETHEacuteshyOacute Eacute10wETH9IgraveumlIgravesup1+shyEacuteltEumlETHETH3EacuteshyOacuterIgrave5euml1ONtildeFETH32EacuteltOacute0EacuteltEgravexIcircEacuteshyIacute5IgraveIgrave2shyNtildeshyIacuteEumlOgraveIgraveIcirclaquoEacute10C8ltIgraveIcircd=KEgrave(ETHEacuteltEgraveIcircMJu[P[]NPf[SX H MQsY$KNih H QsY H [timesbn[]ZaringKj H J H MeJiexclJUP[]fcj H QR[]O JjN H QR[]Oaring[SX H MeJNPb H QVUPJbn[]O H []jehOcircXiacute[Ph0Y[]ZOslashJ(JkeNSZOslashKfcJUY$[SX-hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhY^SgJ H jY H N`PJY[]ZaringJT^eJUYZbnhQcK H [PhY(^eJLKEgraveJUO^QsO[aelig[]O H MeJyZOslashJUNPOBSOtimesOslash [Phiexcl[]O H MeJgUiNihQcNPObnJjuFtimesOslash [SXH MeJOtildeJUP[]fUBQcOF[OslashhZJ[]QR[]OwOumlcopytimesOslashaagravejaringEFFG FFH SOtimesOslashKaagravejumlaacute iacute $ w$ thorn yuml Otilde atilde auml WiexclQ H M icirctimesOslashaacute w$ thorn yuml atilde aumlu centtimes Oslash aagravejsup1aacute iacute $ w$ thorn yuml aOtilde SOtimes OslashKaagravejj cent atilde auml^ macr^f^iumlordfcentltshyltAringordfregethIumlIgravecurrenRAringcentmicroETHfrac34IumlltlaquomicroRreglaquoNOacute]currenRlaquosectsup1jCcedilR RAringordfregL Rlaquo3shy JTbdMe[B[]YJ H MeJgXiacute[]fcfR[WQcO[OslashYJ H [SX^eJUYbnhQRK H [PhYaring

uuml thorn UgraveUcircUacuteUuml yuml ^e[BJUYOe[ H ^eJLKEgraveJUO^[]Owagraveuuml thorn timesOslash yuml aacutecntildeaLuOcenttimes Oslash j a zSjWMJLhZJampntildeaOgravejQsYNOslashKEgrave[]YZQ H QVUPJiexclXqjOb H QR[]O[SX$bLfcNPYYograve aj^MQcYiexclUPJUfR[WbLQ H mumlUPJUb H [PhOslashQcYaumlbn[]ZaringKj H JU^centmeumlhZJLKfcNPbLQsO[ H MeJ H JLhZaringYauml[SXga jgWQ H MH MeJUQch$JkBKhJUYZYZQR[]OY^ J hY H JkWKhZJUYZY H MeJ^eJUYZbnhQcK H [Ph|uuml thorn timesOslash yuml NPYyNTbn[]ZTcentQsON H QR[]O[SXamp^e[]ZaringNPQcOY(QcO H J[PhdNPfcYaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacutemiddot thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn timesOslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejjaacutecntildeoacute agrave thorn timesOslash yuml aagravejagrave thorn timesOslash yumlcent aagravejfocirc a i]j

uumlnyacutenthornnyumll13YSordmY_FPa

yenKbrvbarsect =4 acirc $ fzWMJLhZJSaring EFFG FFH agrave thorn timesOslash yuml aagravejpoundaacute w$ thorn yuml aOtildegta2atildeltszligaumlj SOtimes OslashaagravejjUcirccent atilde aumlagrave thorn timesOslash yumlcent aagravejpoundaacute w$ thorn yuml atilde auml a h]j O^ H MBjYaring aelig thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacuteacircaOtildeKa2atildeshyszligaumlFj S timesOslash aagravejjUcirccentaelig thorn timesOslash yumlcent a2atildeshyszligaumlKszligYagravej|aacute f ad s j Y5XiacuteNihaumlNPY H MeJOslash^e[]Z NPQcO`QsO H J[PhNPfsYUacute[SX H MeJOslash^eJLhQVUiN H QVUPJaelig[SX H MJXqjOb H QR[]OY aelig thorn timesOslash yumlaumlNihZJaumlbn[]ObnJLhOeJU^OeFWFJauml[Pcent H NPQsOOaringEFFFG FFFH w5$ thorn yuml frac14ltotildeouml $_divideoslashfrac14 atilde aumlordmaacute frac14ltugrave $frac14 w$ thorn yuml aOtildeKa2atildeshyszligaumlFj SOtimesOslashKaagravejj atilde aumlaacute sw5$ thorn yuml frac14ltotilde ouml $_divideacircfrac14 atilde aumlordmaacute s adfjMJ H JLhZaringY eacute thorn timesOslash yumlauml NPfcY[aringMNUPJ H [ cent=Jaumlbn[]ZaringKj H JU^OeNPO^tWNtildeJg[PJ H aringEFFFG FFFH eacute thorn

timesOslash yuml aacute w$ thorn yuml uacute ouml $_divideacircntilde raquo7ucirc uacute ouml $_divideoslashuacute ouml $_divideacircyacuteuuml atilde aumlaacutecntilde raquo aLu centtimesOslash jeacute thorn timesOslash yumlcent aacute w$ thorn yumlBthorn uacute ouml $_divideoslashthorn uacute ouml $_divideacirc yuml acirc ntilde raquo ucirc uacute ouml $_divideoslashuacute ouml $_divideacirc uuml atilde aumlregaacute u centtimes Oslash ntilde raquo aLu centtimes Oslash j

G QsObnJ H MeJOslash^e[]Z NPQcO`QsO H J[PhNPfsYiexcl[SX frac14ltotildeouml $ordfdivideoslashfrac14 NPO^ frac14ltotildeouml $_divideacircfrac14 NihZJaeligJBjNPf H [currenLJLhZ[poundadfjeWFJOtildebLNPO ^QRhZJUb H fVm bn[]ZOslashKj H J H MeJiexclUPJUfR[WbLQ H mregUPJUb H [Ph[SX H MeJOtildeNPb H QVUPJTbn[]O H []jehuXiacutehZ[]Za macr]jNPO^WNtildeJyO^Oaringaelig Yacuteaagravejaelig agrave aacuteuumlgtthorn timesOslash yuml uumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn otilde)yuml dacute uumlgtthorn otilde)yuml eacutentilde raquo aLu centtimes Oslash jaaOtilde SOtimesOslashj cent u centtimesOslash jcedilQeacute ad j5Otad jeOgraveWFJbLNPOaringhJZaringNihY` H MeJ(KhZJUYJUObnJ[SX H MJNP^^Q H QR[]ONPf H JLhlZntilde raquo aLuOcenttimesOslash jaaOtilde SOtimesOslashj cent u centtimesOslash jeacuteacirc^^ macr^ ^iumlordfcentltshyltAringordfregethIumlIgravecurrenRAringcentmicroETHfrac34IumlltlaquomicroRreglaquoNOacute]currenRlaquosectsup1jpoundn Rlaquo JTbdMe[B[]YJ H MeJgXiacute[]fcfR[WQcO[OslashYJ H [SX^eJUYbnhQRK H [PhYaring uuml thorn UgraveUcircUacuteUuml yuml ^e[BJUYOe[ H ^eJLKEgraveJUO^[]Owagraveuuml thorn timesOslash yuml aacutecntildeaOtilde S timesOslash aagravejj adS]j

uumlnyacutenthornnyumll13YSordmY_FPo

fi $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJampntildeaOgravejQsYNOslashKEgrave[]YZQ H QVUPJiexclXqjOb H QR[]O[SX$bLfcNPYYograve aj^ YKhZJUWQR[]jYZfVmSe H MeJlaquoUPJUfR[WbLQ H mfrac34UPJUb H [PhTQcYbn[]ZOslashKj H JU^eumlcentmhZJLKfsNPbLQcO[ H MJ H JLhZaringY[SXua jcopyWQ H M H MeJUQRh(JkWKhZJUYZYZQc[]OY^FMeJauml^JUYZbnhQRK H [Ph uuml thorn timesOslash yuml QcY(JkWKhZJUYZYJU^centmKaringuuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacutei thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn times Oslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejjaacutentildeoacuteOtilde agrave thorn timesOslash yuml aagravejagrave thorn timesOslash yumlcent aagravejfocirc adj

WMJLhZJSaring EFFG FFH agrave thorn timesOslash yuml aagravejpoundaacute w5$ thorn yuml Otildegta2atildeltszligaumlj atilde aumlagrave thorn timesOslash yumlcent aagravejpoundaacute w5$ thorn yuml atilde auml adSmacr]j O^ Y[aring aelig thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejOcircaacuteegraveOtildegta2atildeltszligaumljaelig thorn timesOslash yumlcent a2atildeshyszligaumlKszligYagravejOcircaacute f adS]jG QsObnJ H MeJordfXiacutejOb H QR[]OY aelig thorn timesOslash yuml NPO^ aelig thorn timesOslash yumlcent ^e[aringO[ H ^eJLKEgraveJUO^[]OtagraveeFWFJTMNUPJSaringEFFFG FFFH w$ thorn yuml frac14ltotilde5ouml $ordfdivideoslashfrac14 atilde aumlregaacute s

w$ thorn yuml frac14ltotilde5ouml $ordfdivideacircfrac14 atilde aumlregaacute s ad]zSjMJ H JLhZaringY eacute thorn timesOslash yumlauml NihZJ H MJUObn[]ZOslashKj H JU^eNPO^WFJauml[Pcent H NPQcOOaringEFFFG FFFH eacute thorn

timesOslash yuml aacute w$ thorn yuml thorn uacute ouml $ordfdivideacircntilde raquo7ucirc Otilde uacute ouml $ordfdivideoslashuacute ouml $ordfdivideacircyacuteuuml atilde aumlaacute thorn iacute $ w$ thorn yuml ntilde raquo aOtilde SOtimesOslashj atilde aumleacute thorn timesOslash yumlcent aacute w$ thorn yuml uacute ouml $ordfdivideoslashthorn uacute ouml $_divideacirc yuml acirc ntilde raquo ucirc Otilde uacute ouml $ordfdivideoslashuacute ouml $ordfdivideacirc uuml atilde aumlordmaacute ugrave $iacute $ w$ thorn yuml ntilde raquo aOtilde SOtimesOslashj atilde auml JUacutebLNPO H MeJUObn[]ZOslashKj H JUacute^QRhZJUb H fm H MJ_UPJUfR[WbLQ H mUPJUb H [Ph[SX H MeJUacuteNPb H QVUPJOtildebn[]O H []jhXiacutehZ[]Zigravea macr]j(NPO^WNtildeJyO^Oaringaelig Yacuteaagravejaelig agrave aacuteuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yumldacute uuml thorn otilde)yuml eacute aOtilde SOtimesOslashjicircFtimesOslash $ thorn yuml ntilderaquo)aOtilde SOtimesOslashjmiddotQeacute adSi]j

5O H MeJtimesKNih H QsbLjfcNihiexclbLNPYZJIacute[SXIcircntildeaOgravejuaacuteOslashScenteKWFJtimesMNUPJnntilde raquo aOgravejcopyaacute NPO^ H MeJLhZJXiacute[PhZJSeH MeJiexclNP^^Q H QR[]ONPf H JLhlZaringYebn[]ZaringQcO[gXiacutehZ[]Z H MeJ UiNihQcN H QR[]O [SX H MeJiexcl^eJUYbnhQRK H [PhYOcircWQ H MagraveeNihJJjNPf H [gcurrenLJLhZ[^[WNtildeJUPJLheWQsOordmZOslash[]Y H bLNPYZJUYe H MQsYyNP^^Q H Qc[]ONPf H JLhlZoslashQsYyOe[ H

uumlnyacutenthornnyumll13YSordmY_FPy

yenKbrvbarsect =4 acirc $ fhcurrenLJLhZ[^ not [PhaeligJkeNSZOslashKfRJSeampQVXUgraventildea]jaacute yuml Wiexcl cent eshyWiexclQ H MN`KEgrave[]YZQ H QVUPJ bn[]OY H NPO H eQWFJMNUPJSaring

ccedil aacuteFuumlgtthorn timesOslash yuml uumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn otilde)yuml uumlgtthorn otilde)yuml eacute aOtilde SOtimesOslashjicircFtimesOslash $ thorn yuml aOtilde SOtimesOslashj IcircAumlaOtilde SOtimesOslashj cent adSh]j^ ^~IacuteFEumlIgraveFIacute5IgraveFOacuteETHNtildeFETHEacuteshyOacuteAgraven13ETH9 ETH9IgraveumlEumlIgravesup1+ltIgraveFEumltIcircIgraveFETHbIacute5IgraveFETH9shyEacute18 YXqNih0NPY H MeJOBjFZOslashJLhdQcbLNPfeQZOslashKfcJZOslashJUO H N H Qc[]OtimesQsYybn[]ObnJLhOeJU^eSWNtildeJbLNPOZOslash[W^eJUf H MeJNPb H QVUPJaumlbn[]O H []jeh_WQ H MNPOJkBK-fcQcbLQ H KNihNSZOslashJ H JLhdQVcurrenUN H QR[]ObaN[PhNPO[]QcNPOXiacute[PhlZtimesjfcN~VH QR[]OKjaelig[Ph NPO QCZOslashKfcQcbLQ H []OeJraNtildejfRJLhQsNPO Xiacute[PhlZIacutejfcN H QR[]Ogtj^ G JLJra G J H MQcNPOOe5fhSh s jNPO^egraveaJUfcQcO[PJ HH J NPO^ _a[]O H N[]ON H e sSs fjX[PhaeligNPOQcO H JLhZJUY H QcO[eumlbn[]ZOslashKNihdQcY[]OcentEgraveJ H WFJLJUO H MeJ H WNtilde[ZOslashJ H M[B^Y^ iexclO[ H MeJLhOtildeQcO H JLhJUY H QcO[aringhJUBQRJW[]O H MeJtimes^Q=JLhJUO HZOslashJ H M[B^Y[SX$NPb H QVUPJIacutebn[]O H []jehQcY(Kh[PK=[]YZJU^ QcOpoundaw_[]O H N[]ON H J H NPfd^Ve sSs fj^iexclJLhZJSeWFJaumljYJ H MeJaumlfRJUPJUfYZJ H ZOslashJ H Me[W^ NiKKhZ[]NPbdM KhZ[PKEgrave[]YJU^centm q YMeJLhNPO^G J H MQcNPOa q YZMJLh NPO^ G J H MQcNPOe fhSiSi]j centj H hJ[]QR[]OWVcentNPYJU^ NPb H QVUPJeumlbn[]O H []jehdYZaringNmNPfcYZ[ centEgraveJQZOslashKfcJZOslashJUO H JU^7centmjYQcO[`XNtildeV4YK-fcQcOeJUYXiacute[PhaeligNPOJkWKfcQsbLQ H K-NihNSZOslashJnVH JLhQcurrenUN H QR[]O ayhZJUbLQc[]Y[ NPO^XNihfcNPj^Oe sSs fj^shyMJ`PJmeumlQc^eJUN [SX H MeJOslashfRJUPJUfampYJ HZOslashJ H M[B^QsY H [ QcO H hZ[W^jbnJaumlNPO`NPjkWQsfcQcNihYmXiacutejOb H QR[]O l a2atildeltszligaumlgtszligYagravejYZjbdM H MN H YacuteaagravejQcY H MJtcurrenLJLhZ[OacutefRJUPJUfYJ H [SX l ^OcircMJXiacutejOb H QR[]O l QsYaelig[SX H JUO bMe[]YJUO H [centEgraveJ H MeJYZQ[]OeJU^ ^QcY H NPObnJordfXiacutejOb H QR[]O[SXQYacuteaagraveje-NPO^ QsY H MeJUObdMNihNPb H JLhQVcurrenLJU^acentmKaring

YacuteaagravejOcircaacute a2atildeltszligaumljPO l a2atildeshyszligaumlKszligYagravejaacute s a2 s jMQcYOcirc0jfRJLhQcNPOordmXiacute[PhlZtimesjfcN H QR[]O KhZJUYZJUO H YFYJUPJLhNPfEgraveNP^UiNPO H N[PJUYga G J H MQcNPOOeKfhShS]j^not QRhY H fVmSe H MeJabLjehYUPJ l ZaringNmcenthJUN`[PhoZOslashJLhY[PJNPY H MJXiacutejOb H QR[]O l JUP[]fUPJUYeNPO^ H [PK=[]fc[S[]QcbLNPfbdMNPO[PJUYFNihZJ H MBjY$JUNPYZQsfVmOslashMNPO^fRJU^^ G JUbn[]O^fVmSe H MJJUP[]fVUWQcO[XqjOb H QR[]O l a2atildeshyszligaumlKszligYagravejNPfVWNmWY(hZJZaringNPQcOY(NlaquoXiacutejOb H QR[]O NPfcfR[WQcO[timesJltz bLQRJUO H OBjFZOslashJLhVQcbLNPfFYZbdMeJZOslashJUY^OcircMQRh^fVmSe H MeJ[PJL[]ZOslashJ H hQcb KhZ[PKEgraveJLh H QcJUYT[SX H MeJ bLjehYUPJSe$fcQV`PJ H MeJbLjehlU~N H jehJ NPO^ H MeJOslashOe[PhlZ NPfshyUPJUb H [PhordfJUfs^eacute e=bLNPO centEgraveJIacuteJUY H QZaringN H JU^euml^QRhZJUb H fmXiacutehZ[]Z H MeJTfcJUPJUfgYJ H XqjOb H QR[]Oaring aacute V ucirc l l uuml NPO^ eacuteecircaacute l l a2FfjMJJUP[]fsj H QR[]O JBjN H QR[]O H MeJUO centEgraveJUbn[]ZOslashJUYaringaelig l aagravejaelig agrave aacuteegraveccedilacute l a2 jMJregUPJUfR[WbLQ H msup1XiacutejOb H QR[]OxccedilEQcYIacutebn[]ZaringKj H JU^7[]OfVm[]O H MeJbLjehYUPJYacuteaagravejaumlcent-j H WFJbLNPO Jk H JUO^ Q H YFJkBKhZJUYZYZQR[]O H [ H MeJiexclWMe[]fRJUacuteQZaringN[PJOtilde^e[]Z NPQcOoOumlordf^[OslashQZOslashKfRJZaringJUO HH MeJIacutefRJUPJUf9YJ H ZOslashJ H Me[W^OeY[]fsj H QR[]OYuZtimesjY H centEgraveJgXiacute[]jO^ H [ bLQRhbLjZyUPJUO H Kh[PcentfRJZaringY

uumlnyacutenthornnyumll13YSordmY_FP

s $amp)(+-)013021+345627893lt=gt9A6CBbn[]ZaringQsO[ Xh[]Z H MeJpoundXqNPb HH MN H`H MeJYZQV[]OeJU^ ^QcY H NPObnJumlXqjOb H Qc[]O l QcYaOe[ H NY[]fsj H QR[]O[SX H MeJyiexcl a2 jeEgraveYJLJa []ZOslashJUYNPO^ not NPjF[PJLhNPYe sSsSs jyacuteXiacute[Phiexcl^J H NPQcfcY^5Oaelig[]jehWF[PhY`gte H MJuXiacutejOb H QR[]O l QcYamphZJUQsOQ H QcNPfcQcurrenLJU^TY[ H MN H Q H hZJZaringNPQcOYampNOtilde^QsY H NPObnJXqjOb H QR[]OenYZJLJ5aq jecentEgraveJLh H NPO^gcOtilde[PhdOeKhZ[PcentY H e sSs fJLcenthZJUjFUPJSe sSsSs jOXiacute[Ph^J H NPQcfcY[]O H MJOtildehZJUQcOQ H QsNPfcQVcurrenUN H QR[]O JBjN H QR[]OO^5Oeuml[Ph^eJLh H [QCZOslashKhZ[UPJaringOjFZaringJLhQcbLNPfJltz bLQRJUObmSeOWFJaringbn[]ZOslashKj H J H MeJOslashJjN H QR[]O[]O NIacuteONihhZ[Wcent-NPO^aringJUObLfc[]YZQcO[ H MJiexclfRJUPJUf s [SX H MeJUacutefRJUPJUf-YJ H XqjOb H Qc[]OO^ JUacuteNPfcY[jYZJZtimesjf H QRhZJUYZ[]fcj H QR[]O H JUbdMOQBjeJUYcentmZaringN`BQsO[ H MeJFNPb H QVUPJ(bn[]O H []jh$JUP[]fVUPJcopyhY H[]ONOslashfc[W hZJUYZ[]fcj H QR[]O QZ N[PJS^FMeJordfONPfbn[]O H []jeh[Pcent H NPQcOeJU^Xiacute[Ph H MQcYhJU^jbnJU^QZ N[PJaumlQcY H MeJUOjYJU^ NPYNPOQsOQ H QcNPfEgravebLjehYUPJordfXiacute[Ph H MJOtildehZJUNPfgYZQVcurrenLJaumlQCZaringN[PJS^

EparaacuteAgravegtmicrosup1acuteIKJcedilJT2MgtI MraquowMgtmicrosup1MAgravegtacuteIltacuteMgtPltAtilde iquest acuteAgravegtT2MKIshyAtildeAcirccedilAtildeacuteNicircMgtI cedilAEligMgtmicroOcircacuteOgraveJTCJT13MKI sup2OcircacuteJordfsacuteacuteI Jfrac14ltacutegcedilFLT2cedilIshyROgraveacuteAtilderaquoAMLBqoLacute13AtildeR]cedilsup32acute GmicrobcedilAgraveacuteAtilde5O H MQcYUacuteYJUb H QR[]OOeOWFJOslashKhZ[PKEgrave[]YJaeligY[]ZOslashJOslashhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhY H [YJ[iVZOslashJUO H M[]ZOslash[S[PJUOeJL[]jYiexclhZJ[]QR[]OYiexcl[]Ofrac34[PhZJmBYbLNPfRJIacuteQZ N[PJUY^gtMJUYJIacute^eJUYbnhQRK H [PhYiexclNihZJcentNPYZJU^[]O H MJZaringQcOQZaringQVcurrenUN H QR[]O [SX H MeJU~NihdQcNPObnJUYauml[SX H MJ H WF[`bn[]OYZQc^eJLhZJU^OacutehZJnV[]QR[]OY^ 5O H MJ7YJUbn[]O^ K-Nih H e H MJQZOslashKEgrave[Ph H NPObnJOacute[SX H MeJNP^^Q H QR[]ONPf H JLhZaringYebn[]ZaringQsO[XiacutehZ[]Z H MeJiexclU~NihdQcN H QR[]O [SX H MeJUacute^eJUYZbnhQcK H [PhYWQ H M H MeJiexclJUP[]fUBQcOF[IacutehZJ[]Qc[]OYeQcY9MQV[]MfcQ[]M H JU^O^ G QCZOslashKfRJJkWNSZaringKfRJUY9YMe[W H MeJ0QZOslashKEgrave[Ph H NPObnJ$[SX H MeJUYJ0NP^^Q H QR[]ONPfH JLhlZ Y H [ NPbMQRJUPJ H MeJOtildeJkWKEgraveJUb H JU^aYJ[]ZaringJUO H N H QR[]O^^f^laquoIgraveIcirc=KEgrave(FETHOEacuteltEgraveIcircEcircgtNtildeltIcircIgrave8 EacuteshyOacute ETH9Igravek+NtildeshyEgrave13NtildeshyOacute=KIgraveC0EacuteshyEgraveh4ltEgraveOIgravesup1QIcirc=NtildeltEumlOgraveIgrave2Iacute Ntilde4ltIgraveIcircMJQcO H JUOYZQ H mregXiacute[Phu[PhZJmWYZbLNPfRJaumlQZ N[PJUY(QcYhZJLKhZJUYZJUO H JU^centm NlaquoXqjOb H QR[]OOtilderegaringOgraveOumlOtilde 13ordfcentwntilde Otilde 13laquo^ JaKhZ[PKEgrave[]YJ H [bZaringQcOQZaringQVcurrenLJ H MeJU~NihdQcNPObnJUYOslash[SX H MeJ H WF[bn[]OYZQc^WVJLhZJU^ Me[]Zaring[S[PJUOeJL[]jY hZJ[]Qc[]OY QcO [Ph^eJLh H [YJ[]ZOslashJUO H H MeJZ^uMJXiacute[]fcfR[WQcO[^eJUYbnhQRK H [PhY(NihJaumlYZj[S[PJUY H JU^OaringEFG FH uuml thorn UgraveUacuteUuml yuml aacutecntildeaLuOcentUgraveUacuteUuml juuml thorn times Oslash yuml aacutecntildeaLuOcenttimes Oslash juuml thorn otilde)yuml aacutecb a2Ograve]jWMJLhZJjntildea]jQcYNOslashKEgrave[]YZQ H QVUPJordfXiacutejOb H QR[]O [SX$bLfcNPYZYEacuteograve aOtilde 13yj(NPO^kb`NOslashKEgrave[]YZQ H QUPJaumlbn[]OWVY H NPO H ^MJTbn[]ZOslashKj H N H Qc[]O[SX H MeJUPJUfR[BbLQ H mUPJUb H [PhaumlQcY^JU^jbnJU^tXiacutehZ[]Z H MeJIacutebn[]ZOslashK-j H N~VH QR[]O`[SX H MeJaelig^eJLhQVUiN H QVUPJIacute[SX H MeJtimesbnhdQ H JLhQR[]Opoundocirc7^eJUPJUfR[PKEgraveJU^ QcO G JUb^^ macr^feWMQsbMfRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[aeligJUP[]fcj H Qc[]O JjN H QR[]OOaringaelig Yacuteaagravejaelig agrave aacuteethntildeaLu centtimesOslash j ntildeaLu centUgraveUcircUacuteUuml jb ntilderaquo)aLu centtimesOslash jaaOtilde S timesOslash j cent u centtimesOslash j ntilde raquo aLu centUgraveUcircUacuteUuml jaaOtilde SUgraveUcircUacuteUumlj cent u centUgraveUacuteUuml jIcirc13eacute a2Sj

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ fMJiexclYZQcOF[]fRJiexclK-NihNSZOslashJ H JLhcopyWNtildeJOtildeOeJLJU^ H [aringNP^~ZjY H QcY H MeJUacuteYYZOslash[B[ H MQcO[timesKNihNSZOslashJ H JLhb^5OregXqNPb H e H MeJ X [W ethb MNPY H MeJiexclKhZ[PKEgraveJLh H QRJUYNtilde[SXYYZOslash[B[ H MQcOF[IacutecentEgraveJUbLNPjYJOtildeQ H ZOslash[UPJUYH MeJUacutebLjehYUPJUacuteQcO H MeJUacute^QRhZJUb H QR[]O [SX9Q H YfRJUOF[ H MregXqjOb H QR[]ONPfQa G Qs^^QBQeJ H NPfd^VeOfhShS]j^^ ^~IacuteEacuteltEgraveETHOgraveNtildeltOacute=KIgravefrac34Eacute10frac34ETH9Igrave Ntilde8182ETHEacuteshyOacuteNtildeshyEumlETHIgraveFEgraveOIacute5Icirc5O[Ph^JLh H [7JU~NPfcjN H J H MeJ QZOslashKEgrave[Ph H NPObnJ`[SX H MeJ`NP^^Q H QR[]ONPf H JLhlZaringYX[Ph H MeJYJ[]ZaringJUO H N H QR[]OeuWNtildeJpoundZaringN`PJ H MJeumlNPb H QUPJbn[]O H []jehaJUP[]fVUPJ H MehZ[]j[]M H MJ iexcla2SjeQsObLfcj^QsO[ H MeJaumlNP^^Q H QR[]ONPf H JLhlZaringY^ q O H MeJUacute[ H MeJLhMNPO^OeWNtildeJaumlNPfcYZ[ZaringN`PJQ H JUP[]fUPJfrac34WQ H M H MeJwXiacute[]fcfR[WQcO[ WhZ[]OF[JUP[]fcj H QR[]OJjN H Qc[]O H MN H ^e[JUY Oe[ HQcObLfcj^eJ H MeJaumlNP^^Q H QR[]ONPf H JLhlZaringYaringaelig Yacuteaagravejaelig agrave aacuteethntildeaLu centtimesOslash j ntildeaLu centUgraveUcircUacuteUuml j`b Qeacute iuml a2Ogravemacr]jnot [Ph H MeJOtildeJkWKEgraveJLhQZOslashJUO H YeWFJ H N`PJntildeaOgravejOcircaacute ILK KafcediliexclOgravejWMQsbM[]QVUPJUYntilde raquo aOgravejaacutefdOafcedil]j(NPO^ H MeJgUiNPfcjeJOtilde[SX H MeJaumlKNihdNSZOslashJ H JLhEacutebaQcY(YJ HH [frac34f s ^OcirckBKEgraveJLhQCZOslashJUO H Y NihZJ KEgraveJLhYX[PhZOslashJU^ []O NYmWO H MJ H Qcb`QCZaringN[PJumlZaringNP^eJeumljeK [SXTNPO

Me[]Zaring[S[PJUOeJL[]jYYYBjNihZJ[SX9QcO H JUOYZQ H mwf s []O NIacutecentNPbl`[PhZ[]jO^ [SX9QcO H JUOYZQ H mtf s ^ []NPjYZYZQsNPOOe[]QcYJUacute[SXUiNihQcNPObnJ s QcY(NP^^eJU^ H [ H MQcY(YmWO H MJ H QcbOtildeQZaringN[PJS^MeJOtildeJUP[]fcj H QR[]Oa[SX H MeJTNPb H QVUPJtimesbn[]O H []jehUacute^ehQUPJUOcentmpounda2SjQcYu[]QVUPJUO`QcO not QV[^ WMQcfRJ H MeJ[]OeJ`[Pcent H NPQcOeJU^ jYZQcO[ a2Ogravemacr]j QcYordm[]QUPJUO QcO not QV[^ ^ J bLNPO hZJZaringNihY`H MN H WMeJUO H MeJoiexclQsObLfcj^eJUY H MJ NP^^Q H QR[]ONPf H JLhZaringYe H MJ YYBjNihZJ QcYgWFJUfcfYJ[]ZaringJUO H JU^acirca not QV[^ ^bjeuWMeJLhJUNPYWiexclMeJUO H MeJ |iexclD^e[BJUY Oe[ H QsObLfcj^eJ H MeJUYJNP^^Q H QR[]ONPf H JLhZaringYwWFJ7[Pcent H NPQcO N bLQRhbLfcJOacuteQcOY H JUNP^ [SX H MeJ7JkBKEgraveJUb H JU^YYBjNihZJa not QV[^ ^bj^MeJUYJhZJUYZjf H YNtildebLNPOcentEgraveJcentEgraveJ HH JLh(jO^eJLhY H [[W^WMQcfRJNPONPfmcurrenUQcOF[ H MeJiexclUPJUfR[WbLQ H mUPJUb H [PhYUacute[SXNtildeJUNPbMJUP[]fsj H QR[]O JjN H QR[]OO^ Jaringbn[]ZOslashKNihZJ H MeJ H WF[ JUP[]fcj H QR[]OYiexcl[SXH MeJlaquoUPJUfR[WbLQ H mwUPJUb H [PhYauml^jehQcO[ H MeJaeligKhZ[PKN[]N H Qc[]Oeuml[SX H MeJOslashbLjehYUPJwa2WiexclQ H Me[]j HH MeJcentEgrave[]jO^NihYmVcent-NPYJU^ H JLhlZb j^MeJ(JUP[]fcj H Qc[]OOslash[SX H MeJNSZOslashKfsQ H j^eJ[SX H MeJyacuteUPJUfR[Wb|VQ H mregUPJUb H [Ph[SXQ|iexcla2SjFQsY[]QUPJUO QcO not Q[aqYj^ ^ ^OecurrenJSe Xfrac34]eWMQsfRJ H MeJOtildeNSZOslashK-fcQ H j^eJ[SX H MeJUPJUfR[WbLQ H mwUPJUb H [PhOtilde[SX||iexclacirca2Ogravemacr]jiexclQcY []QUPJUO`QcO not QV[aqYj^ ^ ^OecurrenJSe Xfrac34]^ JOslashbLNPO[PcentYZJLhYUPJ H MN HaringH MeJUPJUfc[BbLQ H msup1WiexclQ H Me[]j HaeligH MeJNP^^Q H QR[]ONPf H JLhlZaringY QcYaeligNbn[]OY H NPO HWMJLhZJ [PcentUWQR[]jYfVm H MJaQZaringN[PJfrac34XJUN H jehJUY ^e[OacuteO[ H NiKKEgraveJUNih^ q O H MeJabn[]O H hNihYmH MeJaumlQCZaringN[PJordfXJUN H jhZJUYuWFJUfcfNiKKEgraveJUNihQcO H MeJordfUPJUfR[WbLQ H m QcObLfcj^QcOF[ H MeJaumlNP^^Q H QR[]ONPfH JLhlZ Yya not QV[aqYj^ ^ ^OecurrenJSe Xfrac34jiexclNPO^ Y[ H MeJaumlYljNihJTbLNPO centEgraveJordfWNtildeJUfsfYJ[]ZOslashJUO H JU^O^MeJyKhZJUWQR[]jYEgravehJUYZjf H YgYMe[W H MN H Q H QcY[SXeKhQCZOslashJ$OeJUbnJUYZYZQ H m H [ H N`PJQcO H [NPb|Vbn[]jO H0H MJNP^^Q H QR[]ONPf H JLhZaringYeWbn[]ZaringQcO[XhZ[]Z hZJ[]QR[]OeV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhYeQcO[Phd^eJLh H [ hZJUNPbdMaN H hdjeJgZaringQcOQCZIacutejFZ [SX H MeJaumlbnhQ H JLhdQR[]OO^

uumlnyacutenthornnyumll13YSordmY_F

S $amp)(+-)013021+345627893lt=gt9A6CBEIumlparaacuteAgravegtmicrosup1acuteIKJcedilJT2MgtI MraquoordfAEligMgtsup32MLwMKmicrobMgtAgraveacuteIshyacuteMgtPltAtilde iquest acuteAgraveKT13MKIshyAtildeAcirclaquocedilFAtildeacuteNicircMKIJfrac14ltacutepoundAEligMAringcedilFLT2cedilIltR]acuteHcedilJLTOcircfrac12sup3T13ROgravecedilJT2MgtI JMAgraverltcedilFR]acuteacuteJacuteR]JT2MgtIicircT2ItT2NQacuteM paraacutePshyacuteIltR]acuteAtildeMQcY0K-Nih H ^eJUNPfcYWQ H M H MeJOtildeYJ[]ZOslashJUO H N H QR[]O [SXMe[]ZOslash[S[PJUOeJL[]jY(hZJ[]QR[]OYQcOZtimesjfuVH QcYZK=JUb H hdNPfQZaringN[PJUY^ YNPOaJkWNSZaringKfRJSeWFJIacuteYZMe[W H MN HiexclH MeJTbn[UiNihQcNPObnJZaringN H hQVkbLNPOacent=JIacuteNUPJLhYm KEgrave[WFJLhYXqjf H [B[]f H [ YJ[]ZOslashJUO H Me[]Zaring[S[PJUOeJL[]jYbn[]fR[PhiexclhJ[]QR[]OY^F5OXqNPb H e H MeJtimes^eJ H JLhlZaringQsONPO H [SX H MeJTbn[U~NihQsNPObnJZ N H hQkKhZ[UPJUY H [ centEgraveJIacuteNaringhJUfRJU~NPO Hbn[]fR[PhaelighZJ[]Qc[]O7M[]ZOslash[S[PJUOeJUQ H msup1ZOslashJUNPYZjhZJZOslashJUO H a G NPO[SWQcOeJ NPO^r[PhdOeJSeufhShSi]j^_`QcOQZ QVcurrenUQcO[ H MQcYjNPO H Q H m ZOslashJUNPOY H MN H WFJwWNPO HH [^eJUbnhZJUNPYJ H MeJeumlbn[]ZaeligVKfcJkWQ H m[SXUacuteNeumlhZJ[]QR[]Oa hdNmJ H NPfd^Ve sSs fampN H JUjke sSsSs j^MQcY H [B[]fuZaringNmKhdNPb H QcbLNPfcfVm cent=JaumljYJU^X[Ph XiacuteNPbnJtimes^eJ H JUb H QR[]OaQsO QZaringN[PJaumlYJBjeJUObnJUY^macr^f^laquoIgraveIcirc=KEgrave(FETHOEacuteltEgraveIcircEcircgtNtildeltIcircIgrave8 EacuteshyOacute ETH9IgraveAgrave=Eacute3+NtildeshyEgrave13NtildeshyOacute=KIgravefrac34Iacute_NtildeFETHEgraveEcirc20EacuteshyEgrave=EacuteshyEumlEacuteshyEgrave2Iacute Ntilde4ltIgraveIcircMJQcO H JUOYZQ H mxXiacute[Ph bn[]fR[Ph QCZaringN[PJUYaringQcYOslashhJLKhZJUYJUO H JU^centm7NpoundXiacutejOb H QR[]OOtildeegravearingOumlOtilde 13ordfcent ntilde Otilde 13 WMeJLhZJ Otilde aacute Otilde szligYOtildeOgravecentszligYOtilde13ordf ^iexclXm NPONPfR[S[SmAumlWQ H M H MeJOacuteY H j^Fm Xiacute[Ph[PhZJmWYZbLNPfRJFQZaringN[PJUYeWNtildeJZaringQcOQCZaringQVcurrenLJ H MeJNtilde^J H JLhlZaringQcONPO H [SX H MeJFbn[UiNihQcNPObnJcopyZaringN H hQVk[SX H MeJTbn[]OYQc^eJLhZJU^hZJ[]Qc[]OY^ J5ZaringNmaringNPYYZjFZOslashJ H MN H JUNPbdM bn[]fR[PhFhZJ[]QR[]Oacute13 QsYOcircZOslash[W^eJUfcfRJU^OslashcentmOslashNg[]NPjYYZQcNPO^QsY H hQRcentj H QR[]Oeuml[SXyacuteZOslashJUNPOiexclSegraveaacute S szligPS cent szligPS NPO^7bn[UiNihQcNPObnJZ N H hQk5^MeJKh[PcentNicentQcfcQ H maring^eJUOYQ H moXiacutejOb H QR[]O QcYu[]QUPJUO centm H MeJgXiacute[]fcfR[WQcO[aeligJkWKhZJUYZYQR[]OOaring

$ampamp aOtildejOcircaacute fa )( j +cent aq^J H ayacutejj cent JkWK- f aOtilde Sltj thorn aOtilde Sltj a2Ograve]jG [eZaringQcOQZaringQVcurrenUQcOF[ H MJbn[U~NihdQcNPObnJuZaringN H hQktimes^eJ H JLhlZaringQcONPO H [SX-NPOtimesJUP[]fVUWQcO[hJ[]QR[]ONiKKEgraveJUNihY H [OslashcentEgraveJNtimeshZJUfcJU~NPO HH [[]f H [ordmZaringN`PJ H MQcYFhZJ[]Qc[]O bn[]OUPJLhY[PJ H [WFNih^Y H MeJbLfR[]YZJUY H Me[]ZOslash[S[PJUOeJL[]jYbn[]fR[PhiexclhZJ[]QR[]OO^9J H jY$Oe[ H J timesOslash NPO^0copyUgraveUcircUacuteUuml H MJbn[UiNihQcNPObnJ5ZaringN H hQcbnJUYy[SX=hJUYKEgraveJUb H QVUPJUfVmordmOuml timesOslash aagravejNPO^tOuml UgraveUacuteUuml aagravejaring

atilde aacute213 u Patilde u centatilde u atildeu cent atilde u centcentatilde u cent4atildeu5 atilde u5centatilde u54atilde67 a2zSj

WMJLhZJSaringEFFG FFH u times aumlatilde aacute iacutefaring w aring thorn yuml aOtilde times S times atilde jaOtilde auml S auml atilde j atilde aumlS times atilde aacute iacutefaring w aring thorn yuml Otilde times a2atildeltszligaumlj atilde auml WQ H M aacuteiVIgraveOacute[Ph Kf5

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ J [PcentUWQR[]jYZfm`MNUPJacuteu times aumlatilde aacuteu auml timesatilde ^shy9J H jYaumlO[ H J ^eJ H a atilde j H MJ ^eJ H JLhlZaringQsONPO H [SXH MeJaumlbn[U~NihdQcNPObnJZ N H hQkWiexclMQcbMJkBKhJUYZYZQR[]O QcY H MJgX[]fsfR[WQsO[aring

^eJ H a atilde jumlaacute u Patilde u centcentatilde u 4atilde u centatilde u atilde u cent4atilde u Patilde u cent4atilde u cent4atilde u centcentatilde u atilde u atilde u 4atilde u centatilde u centatilde a2Ogravei]jnot jOb H QR[]OY [SX H MeJeumlbn[UiNihQcNPObnJpoundZaringN H hQk ^eJ H JLhZaringQcONPO H YNihZJ jYJU^ NPY hJ[]QR[]O^eJUYbnhQRK H [PhY^ JIacutebMe[B[]YJ H MJordfX[]fcfc[WQcOF[aeligYZJ H [SX$^eJUYZbnhQRK H [PhYaringEFG FH uuml thorn UgraveUcircUacuteUuml yuml aacute98ordfaq^eJ H acopyUgraveUcircUacuteUumlAjjuuml thorn timesOslash yuml aacute98ordfaq^eJ H a timesOslash jjuuml thorn otilde)yuml aacuteOslashb a2Ograveh]jWMJLhZJ8ordfaOgravejFQcYNOslashKEgrave[]YZQ H QVUPJiexclXiacutejOb H QR[]O [SXampbLfcNPYZYograve aOtilde 13yjFNPO^Cb`NOslashKEgrave[]YZQ H QVUPJOtildebn[]OWVY H NPO H ^gJ H jYNtildeOe[W WhQ H J H MeJJUP[]fcj H Qc[]OaringJBjN H QR[]O [SX H MeJiexclNPb H QUPJbn[]O H []jehcentmbn[]ZOslashK-j H QcO[ H MJIacute^QEgraveJLhZJUO HH JLhlZaringYiexcl[SX_a j^J H NPQcfcYiexcl[SX H MeJIacutebn[]ZaringKj H N H QR[]O bLNPOcentEgraveJgXiacute[]jO^QsOaNiKKEgraveJUO^QVk X5^gtMJaumlJUP[]fcj H QR[]O`JBjN H QR[]O[SX H MJIacuteNPb H QVUPJaeligbn[]O H []jhQcY H MJgX[]fsfR[WQsO[aringaelig Yacuteaagravejaelig agrave aacute8gaq^eJ H atimesOslashjj 8ordfaq^eJ H a UgraveUcircUacuteUuml jj`b admacr s jlt8Icircraquodaq^eJ H a times Oslash jgt= ccedil A B egrave aOtilde S timesOslash jaOtilde B5 S BtimesOslash jB^eJ H aDC EBtimesOslash ja fj BGFH amp^eJ H atimesOslashj48 raquo aq^eJ H atimesOslashjj 8Icircraquodaq^eJ H a UgraveUacuteUuml jgt= ccedil I B egrave aOtilde Eacute S UgraveUcircUacuteUuml jaOtilde B S BUgraveUcircUacuteUuml jB^eJ H aDC JBUgraveUacuteUuml ja fj BKFH amp^eJ H a UgraveUcircUacuteUuml j48 raquo aq^eJ H a UgraveUcircUacuteUuml jjcedil13eacuteMJZaringN H hdQkLC JBatilde QsY ^JU^jbnJU^icircXh[]Z H MJeumlbn[U~NihdQcNPObnJbZaringN H hdQkM atilde centm YZjeKeVKhJUYZYZQcO[ H MeJ uuml UumlON hZ[WENPO^ H MeJ I UumlON bn[]fcjFZaringO^MeJeumlfcNPY H Xiacute[]jeh fsQcOeJUY [SX H MeJJBjN H QR[]ONihZJ H MeJOtildeNP^^Q H QR[]ONPf H JLhZaringY(bn[]ZaringQcO[XiacutehZ[]Z H MeJiexclU~NihQsN H QR[]O [SX H MeJOtilde^eJnVYZbnhdQRK H [PhYWiexclQ H Mordmagrave^ Y0Q H MNPYycentEgraveJLJUOOslashKhJUBQR[]jYZfVmTKhZ[UPJU^X[Ph[PhZJmWYZbLNPfRJiexclQCZaringN[PJUYeH MeJUYZJ H JLhlZaringYMNUPJ H [ cent=Jaumlbn[]OYZQc^eJLhZJU^ QsO[Ph^eJLh H [regZ N`PJ H MeJTNPb H QUPJTbn[]O H []jhbn[]OUPJLhY[PJ H [WFNihd^YNZ QcOQZtimesjFZ [SX H MJTbnhQ H JLhQc[]OO^macr^ ^~THORNUgrave2FIgraveFEgrave2Iacute_IgraveFOacuteshyETHOgraveNtildeshyEumlEgraveOIgraveIcircdEumlETHOIcircnot [Ph H MJ JkWKEgraveJLhQZOslashJUO H YeQWNtildeJ H N`PJCntildea]jordmaacute ILK Kaf[]jgWMQsbMsup1[]QVUPJUYnntilde raquo aOgravejaacutefdOafWOgravej(NPO^8ordfaOgravejaacute ILK KafIcirch cent juWMQcbdMt[]QVUPJUY8 raquo aOgravejaacute ETHOafIcirch cent j^ JbdMe[[]YZJ bbaacute f s ^QMeJaringbn[]fR[PhtimesYKNPbnJ YJUfcJUb H JU^QcYaQPszlig l szligicirclaquojeltWMeJLhZJwaOtilde aacuteRPordmjhZJLKhZJUYJUO H Y H MeJfsjFZaringQcONPObnJNPO^waOtildeOgravecent5aacute l j$NPO^frac34aOtildeS aacuteOslashicircj$hZJLKhZJUYJUO HyH MeJ H WF[bdMehZ[]ZaringQcONPObnJUY^ not [Ph H MeJbn[]ZaringKj H N H QR[]OOslash[SX H MeJuUiNihQcNPObnJSei[]Ofm H MeJfcjZaringQcONPObnJQcY(jYJU^O^

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CB5Oaring[Phd^eJLh H [aeligYJ[]ZOslashJUO H NPO Me[]ZOslash[S[PJUOJL[]jY0hJ[]QR[]OOeOgraveWFJiexclY H Nih H WQ H M NPO QcOQ H QcNPf

bLjehlUPJ0QcOYZQs^eJ H MJ0hZJ[]QR[]Oauml[SXWQsO H JLhZJUY H ^MeJybLjhYUPJ0QcY H MJUOTYZjeKK=[]YZJU^ H [JkWKNPO^jO H Qcf(Q H hJUNPbMeJUY H MeJ centEgrave[]jO^NihlmOacute[SX H MeJabn[]ObnJLhdOeJU^ Me[]Zaring[S[PJUOeJL[]jYaringhJ[]QR[]OO^MJtimesbLjehlUPJtimes^e[BJUYUacuteOe[ H [P[cent=JmP[]O^ H MJUYJaeligcent=[]jO^NihQRJUYiexclYZQcObnJSe=[UPJLh H MeJLhZJSe H MeJbnhQ H JLhQR[]OOacuteQsObnhZJUNPYJUYtimescentEgraveJUbLNPjYJ H MeJU~NihdQcNPObnJOcircu centtimesOslash [Ph H MeJ bn[U~NihdQcNPObnJtZaringN H hQVk^eJ H JLhZaringQcONPO H ^eJ H atimesOslashjUcirccentOtildeQsObnhZJUNPYJS^MeJaringNPfV[P[PhQ H MZEcentNPYJU^[]O H MeJ bn[UiNihQcNPObnJZaringN H hQVkeumlQcYaumlK=JLhlX[PhlZaringJU^euml[]ONPOQZ N[PJ [SX H MeJUBQs^eJL[`YJBjeJUObnJrnN`WQVmP[]peumlQcO[Ph^JLh H [euml^eJ H JUb HaeligH MeJYKEgraveJUN`PJLhUTYXqNPbnJS^gtMJaumlJUP[]fcj H QR[]O[SX H MJIacutebLjehYUPJIacuteQcYu[]QVUPJUO QcO not QV[^ macr^gtMeJTbn[]O H []jehiexclJUP[]fUPJUYH [ONPfcfVmbn[]OUPJLhY[PJaelig[]O H MeJIacutecent=[]jO^NihQRJUY[SX H MJyXqNPbnJa not QV[^ macr^bj^OMeJyXiacuteNPbnJaeligQcYH MeJUONPbLbLjehdN H JUfVm YZJ[]ZOslashJUO H JU^^FMeJUacuteNSZOslashKfcQ H j^eJ[SX H MeJiexclUPJUfR[BbLQ H m QsYFNPfsY[laquo[]QVUPJUOQcO not QV[aqYj^ macr^ ^OecurrenJSe Xfrac34jNPO^WNtildeJUacutebLNPO [PcentYJLhYUPJ H MN HFH MeJ5XiacuteNPbnJUacutehZJ[]QR[]O QcYUPJLhYmWFJUfcf^eJUfsQZaringQ H JU^regXhZ[]Z H MJ[ H MJLhhZJ[]QR[]OY^MJ5UPJUfc[BbLQ H m[]QUPJUO QcO not QV[aqYj^ macr^ ^OecurrenJSe XQcObLfcj^eJUY H MeJNP^^Q H Qc[]ONPf H JLhlZaringYFbn[]ZaringQcOF[yXiacutehZ[]Z H MeJ5UiNihQcN H QR[]O [SX H MeJiexcl^eJUYbnhQRKeVH [PhY5WQ H Magrave`centj H ^e[BJUYOtildeOe[ H QcObLfcj^eJ H MeJaeligcentEgrave[]jO^NihlmVcentNPYZJU^ H JLhlZ WMQcbMeumlQcYUacuteNYYZaring[[ H MQsO[ H JLhlZ^KMeJtimesNSZOslashKfcQ H j^eJOtilde[SX H MeJyUPJUfc[BbLQ H maQcYiexclOe[PhlZaringNPfcQcurrenLJU^ centEgraveJ H WFJLJUOs NPO^ macrSmacre$YZjbdM H MN HTH MeJ OeJ[]N H QVUPJoU~NPfcjJUYIacuteNihZJ fR[WFJLh H MNPO f i`NPO^ H MeJKEgrave[]YZQ H QUPJ[]OJUYNihZJTMQ[]MeJLh H MNPOpoundf i^ J bLNPObn[]ZaringKNihZJ H MJ QcOQ H QsNPfUPJUfR[BbLQ H m[Pcent H NPQcOJU^jYZQcOF[ H MeJ bn[U~NihQsNPObnJZaringN H hdQk admacr s juWQ H M H MeJOtilde[]OeJOtilde[Pcent H NPQcOeJU^jYQcO[ H MeJordfUiNihQcNPObnJrega2Sj^KMeJordfXqNPbnJTQcYOe[ H WNtildeJUfsf9^eJ H JUb H JU^QcO H MeJUPJUfR[BbLQ H m[Pcent H NPQsOeJU^ajYQcO[ H MeJUiNihQcNPObnJa not Q[^ ^bjWMJLhZJUNPYIacuteQ H QcYIacutehZJUNPfcfmumlWNtildeJUfcfF^eJ H JUb H JU^QsO H MeJQcOQ H QcNPfUPJUfR[WbLQ H m7jYZQcOF[ H MeJbn[iVUiNihQcNPObnJpoundZ N H hQk a not QV[^ ^currencentj^_MeJ UPJUfR[WbLQ H m [Pcent H NPQcOeJU^ jYZQsO[ H MeJumlU~NihdQcNPObnJ^e[BJUYOe[ H NPfsfR[W NPOJltz bLQRJUO H YJ[]ZOslashJUO H N H QR[]O`[SX H MeJyXiacuteNPbnJauml[]O H MeJaumlbn[]O H hNihYm H [H MeJIacutebn[UiNihQcNPObnJlaquoZaringN H hQk^eJ H JLhZaringQcONPO H WMQsbM H N`PJUYUacuteNP^UiNPO H N[PJaelig[SX H MeJtimesbn[]fR[PhQcOFX[PhlZ N H QR[]OO^macr^ ^WVFEumlETH=gtNtildeFETH32EacuteltOacuterETHEacute`0Ntilde=KIgravek8ltIgraveFETHIgrave5=KETH32EacuteltOacute~2Oacute+(8ltIgraveEacute IcircIgrave5euml1IgraveFOacute=KIgraveIcircMJa^eJUYZbnhQcK H [PhYOslashcentNPYZJU^[]O H MJ`bn[UiNihQcNPObnJZaringN H hdQkNihJ`QZOslashK-fRJZOslashJUO H JU^ H [^eJ H JUb H MBjFZaringNPO XqNPbnJUYQcO UWQc^eJL[OacuteYJBjeJUObnJUY^MQsYaring^eJ H JUb H QR[]OegraveZaringNm cent=J`jYJU^Xiacute[PhtUWQc^eJL[ bn[B^QcO[ H [JUObn[W^eJYJUfcJUb H QVUPJUfVm H MeJOacuteMBjFZaringNPOegraveXqNPbnJS^ not [Ph`N []QVUPJUObn[]ZOslashKhZJUYZYZQR[]OOacutehN H QR[e H MeJoXiacuteNPbnJbLNPO7cent=J H hNPOYYZ Q HH JU^bWiexclQ H MN MQV[]MJLhThN H J H [H MeJ^eJ H hdQZOslashJUO H [SX H MeJcentNPbl`[Ph[]jO^O^uMQsY QsO H JLhZJUY H QcO[KhZ[PKEgraveJLh H m QcYUiNPfcjWVNicentfcJuX[PhUBQc^JL[Bbn[]OXiacuteJLhZJUObnJUYe]WMeJLhZJ H MeJ ZOslash[]Y H QZOslashKEgrave[Ph H NPO H NPO^regZOslash[]Y H U~NihdQcNicentfRJQcOFX[PhlZ N H QR[]OQcYfR[WbLN H JU^ []O H MJordfXiacuteNPbnJaq 5ZOslash[]Oe[]j`NPO^tUacutejMNSZaringJUfde sSsSs j^ J QcOQ H QcNPfcQVcurrenLJ H MJhdY H XiacutehNSZOslashJoWQ H M7N`bLQchbLfRJ QsOYZQc^eJ H MeJXqNPbnJ H [ H hNPbY`K^MJUOOeyacuteWFJsup1ZaringN`PJ H MeJNPb H QVUPJ7bn[]O H []jeheumlJUP[]fVUPJjYZQcOF[admacr s jeiexclWQ H MX8ordfaOgravejxaacuteILK KafUgravemiddot cent j^ltMeJregONPfybn[]O H []jehtimes[SX H MeJ bLjehZhJUO H QZaringN[PJ QcY H MeJUOOacutebdMe[]YJUO7NPYNPO QcOQ H QcNPfbLjhYUPJordfX[Ph H MJUacuteOJk H QZaringN[PJS^FMeJOtildeNPfV[P[PhQ H MFZMNPYcentEgraveJLJUOKEgraveJLhYXiacute[PhlZOslashJU^[]OYJUPJLhdNPf$YJjJUObnJUY^MeJaelighZJUYjf H Y5X[Ph H MJaeligYZJjeJUObnJpoundn5JLhQV`p NihJordm[]QVUPJUOQcOnot QV[^ethz^shyMeJaringKNihNSZaringJ H hZJ bMNPYaumlcentEgraveJLJUOYZJ HaumlH [sup1f s ^QMeJordmXqNPbnJ QcYordfWFJUfcfy^J H JUb H JU^NPO^ H hNPbY`PJU^times[]O H MJ|WMe[]fcJyYJjJUObnJS^MJyhZJUYZjf H YOX[Ph H MeJNtildeYZJjeJUObnJnN`WQVmP[]p

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ macrNihZJy[]QVUPJUO`QsO not QV[^ i^ JaeligbMe[B[]YJbaacute s ^ JtimesbLNPO`YJLJ H MN HH MeJXiacuteNPbnJaeligQcYuWFJUfcf^eJ H JUb H JU^aJUPJUOaQVX H MeJaumlbn[]fR[Phiexcl[SXMJLhYZMQRh H QsY(bLfR[]YJ H [ H MJgXiacuteNPbnJIacutebn[]fR[Ph^

YOEAEligMgtIltROgravesup3PshyAtildeT13MKI5O H MQcYKNiKEgraveJLheuWNtildeJKhZ[PKEgrave[]YJN OeJW 0jfRJLhQcNPOAumlZaringQsOQZaringQVcurrenUN H Qc[]OAumlZOslashJ H Me[W^ H [bn[]ZOslashK-j H J H MJUPJUfR[WbLQ H mpoundUPJUb H [Pharing[SXNPONPb H QVUPJ bn[]O H []jeh H MN H JUOYZjehZJUYtimesQ H WQcfcfJUP[]fVUPJ NPYordfXiacuteNPY H NPYOtildeKEgrave[]YZYZQRcentfcJ H [WNih^YIacuteNZaringQcOQCZIacutejFZ [SXN bnhQ H JLhQR[]OeumlQcObLfcj^QcOF[centEgrave[ H MUacutehZJ[]QR[]OeVcentNPYJU^TNPO^OtildecentEgrave[]jO^NihYmVcentNPYJU^ H JLhlZ Y^ q jehgNiKKhZ[]NPbMIacuteQcYcentNPYZJU^Otilde[]OYZMNiK=J[PK H QZaringQVcurrenUN H Qc[]OOslashKhQcObLQRKfRJUY$NPO^ QcYyKEgraveJLhYXiacute[PhlZOslashJU^ QcO H MehZJLJ5ZaringNPQcO Y H JLKYaringf^ltO H hZ[W^jb H QR[]O[SX$NOslash^mWONSZaringQcbLNPfYbMeJZOslashJIacuteQcO H MeJTbnhQ H JLhQR[]OOe ^vF[]ZOslashKj H N H Qc[]Oaelig[SX H MeJ_0jfRJLhdQcNPOaelig^eJLhQVUiN H QVUPJ[SX H MJbnhQ H JLhQR[]OOslashjYZQcO[OtildeYZMNiKEgraveJ

[PK H QZaringQVcurrenUN H Qc[]O H [[]fcYe^vF[]ZOslashKj H N H Qc[]Oa[SX H MeJtimesJUP[]fcj H Qc[]OaJBjN H QR[]O`[SX H MeJaeligNPb H QVUPJtimesbn[]O H []jehiexclXiacutehZ[]ZH MeJT^eJLhQU~N H QVUPJS^

iexcl Ntilde _ cent G NPfcfR[WY H [hJUNP^QcfVm H N`PJNtildeQcO H [NPbLbn[]jO H9H MeJybLNPYJ0[SXBhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H^eJUYbnhQRK H [PhY H MN H NihZJo[]fR[PcentNPfcfVmN HH NPbdMeJU^ H [ H MeJ JUP[]fVUWQcO[ hZJ[]QR[]OYtimesNPO^Y[H MN H UiNihYm^jehQsO[ H MJaumlKhZ[PKN[]N H Qc[]O [SX H MJaumlbLjehYUPJS^ JTYMe[W H MN HH MeJgUiNihQuVN H QR[]O [SX H MeJUYJ^JUYZbnhQRK H [PhdY QsO^jbnJUYNP^^Q H QR[]ONPf H JLhlZaringYQcO H MeJeumlJUP[]fcj H QR[]OJBjN H QR[]Oeuml[SX H MeJaringNPb H QVUPJ bn[]O H []jeh^MJUYJ H JLhlZaringYgZtimesjY H Oe[ H centEgraveJlaquoX[Phl[P[ HH JUOQcO[Ph^JLh H [ hZJUNPbMeumlN H hjeJZ QcOQZtimesjFZ[SX H MeJtimesbnhQ H JLhQc[]OaNPYUacuteQ H MNPYcentEgraveJLJUOKEgrave[]QcO H JU^[]j H QsOJkBKEgraveJLhQZaringJUO H NPfEgravehZJUYjf H Y^

Yfrac34XiacuteNiheumlNPYeumlMe[]ZOslash[S[PJUOeJL[]jYeumlbn[]fR[PheumlhZJ[]Qc[]OY`YZJ[]ZOslashJUO H N H Qc[]OQsY`bn[]ObnJLhdOeJU^OeWFJKhZ[PKEgrave[]YJ H MeJ`bn[U~NihQsNPObnJfrac34ZaringN H hdQk^eJ H JLhlZaringQcONPO H NPY N^eJUYbnhQRK H [Ph^MQcYY H N H QsY H QcbLNPfhZJ[]QR[]OeV4^eJLKEgraveJUO^eJUO H ^JUYZbnhQRK H [PharingNiKK=JUNihdY H [centEgraveJN UPJLhlm7hJUfRJU~NPO HH [B[]fampNPO^eumlY[ Q H MNPYUacutecent=JLJUOeumlYZjbLbnJUYZYXqjfcfVm NiKKfsQRJU^ H [XqNPbnJaring^eJ H JUb H QR[]OQcOfrac34UWQc^eJL[YJBjeJUObnJUY^

iquest acuteraquoacuteLacuteIltR]acuteAtildeagraveIgravefrac14dEcircsup1Atilde5AringiquestLmiddotNtildeIumliquestUumlgIumlUTHORNampAtildeEacutecedilAtilde5AringAcircnAtilde|iquestaacuteIacuteIumlIZEgravefrac14Zcedilfrac12frac14dAringiEcirc]iquestfrac14draquoiEcirc[NtildeIumlagraveAringEacutePAtildecedilwAacute4] uacute_^J^J^ iquest)` igraveraquoLCcedilfrac14cedil4Ecircfrac14draquo~Ecirc(Auml|AringAacuteCcedilfrac14Zcedil4Ecirc

Agrave5AringcedilAcircnAtilde$AtildeAcircnAuml|frac12AringAacutesup1AumldraquoTAringAEligwsup1raquo~ordm(frac12Atilde5AcircnAtilde5frac12AEligwAtildeAacuteampIgrave(Atilde AacuteIcirc~AumlUEcircSaIumligraveraquo13] x4~rv p4PldrRtcoPl|Egraveod5v pv i4vodaumlx4shyl not vsectpqo v tu not Iumlcb$Auml|EacutePAtilde|iquestednfrac14Oumlifrac14draquoIuml

agraveIgrave(Aumldraquo~Auml|Aringiquest~igrave4IumlPfrac14raquoiEcircfWIumliTHORNampAringIcircifrac14Igrave(Atilde5frac12G] divideugrave|ugrave|ugrave iquest` igraveAacuteAtildecedil4frac14ZAacutesup1Acirc|AtildeNtildeEacute~frac14dAgrave4UgraveUCcedilEgravefrac14cedil4EcircUacuteAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoUacuteOgraveregAumldcedilIcirc~sup1Atildecedil4frac14cedilAgrave4Icirc~sup1currenEumlAgravefrac14dfrac12=CcedilEgravefrac14AcircnAtilde5frac12AtildeAacutesup1Igravefrac14ordm|AtildeAgrave5AumlUEcircsup1raquo~ordmIaIumlaeligigraveiacuteraquoS] x4rv p ildrRtcodil|ampod5v pv P4vOtildeodOslashx4shy(l not vFsectpqo v tu not Iumlg frac14raquo~Agrave5AumldAring~AcircnAtildecediliquestehEgravefrac14raquoifrac14|Ecircfrac14Iuml

agraveAringEacutePAtildecedilwAacuteiquest[NtildeIumlWfrac14raquoiEcircifWIuml13b$Aumldcedilraquo~OumlcedilAuml|EacuteAEligqAacute4] divideugrave|ugraveuacute iquestkj ldrregv shy(ldrRtcl|ipwonm5v shyNtildetuOslashtushyl not vampipwo4v tu not sect9ldp4rRtcl|Egravedt lv pv ~rRtRl|9vDm~lrRtcod~ldiTrreg~vUacutel| Uiexcloqnldp4tcldrRtRod~ iquestpoAumlIuml uacute_qEr IumlOslashagrave9Ouml~Oumlfrac12sup1AtildeEcircaacuteUacutefrac14AacuteIcirc~AtildeIgravefrac14Aacutesup1Agravefrac14dfrac12BatildeAgravesup1Atilderaquo~Agrave5Atilde5AElig5iquestPatildeOumlcedilsup1raquoordm|Atildecedil g Atildecedilfrac12frac14dordmIumlhEgravefrac14dAEligwAtilde5frac12frac12Atilde5AElig5iquest g Iumliquest~szlig0Iumleb$sup1Igrave(Igrave(Atilde5frac12Riquestifrac14raquoiEcirc[NtildeIumlatildefrac14dOumlsup1cedilAumlI] uacute_^J^Er iquest`s[Atilde5AumlUEcircAtilde5AEligwsup1AgraveFfrac14dAgraveAacutesup1AcircnAtildeyAgrave5AumldraquoUAacuteAumldAringcedilAElig_aIuml x4~rv p4PldrRtcodPldpoundUodUp4Pl|WoqodshyiUrv paumlumltutcodutet13v uacute+w iquestex uacuteyIrz^ Iuml

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CBh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34LiquestBagraveyIumlWfrac14raquoiEcircidIumlBTHORNampAringraquo~Agravefrac14raquo13] uacute4^z^J^ iquest`[ampfrac14Igrave(AtildeEumlcAacuteIcirc~Atilde5AumlcedilAtildeAacutesup1Agrave(sup1raquoUAacuteAtildeordmdcedil4frac14Aacutesup1AumldraquoaeligOgraveuAumldcedil0sup1Igravefrac14dordmdAtildeAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIuml xQ|||~pwl~ lnrRtcodNtildeodiexclsect9lrRrv p auml9Pl| ~tuyldi j l|4Utu]vx4~rvreg t not v P4v Iumlh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34Liquestgagrave0IumliquestIumlgatildeUAacute4frac14dsup1Eacuteiquest9frac14draquoiEcircdIuml9THORNampAringraquo~Agravefrac14raquo13] uacute_^J^ xiquest` THORNampAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeIacuteEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34iraquo~Ecircsup1raquo~ordmsup1raquoIgrave(AtildeEcircsup1Agravefrac14frac12iexclsup1Igravefrac14ordm|Atilde5AEligaringEacuteLfrac34Oacutesup1raquoLAacuteAtilde5ordmcedil4frac14Aacutesup1raquo~ordm ordmdcedil4frac14|Ecircsup1Atilde5raquoLAacute frac14raquoiEcirccedilAtilde5ordm|sup1Auml|raquo sup1raquoOgraveuAumldcedilIgravefrac14ZAacutesup1Auml|raquo13aIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu notI iquesteE ^4y rdugrave Iumlh=Icircifrac14raquoiquestBETHIumlWfrac14raquoiEcircIuml g Atilde5AEligwAtildeJ] dividedugravedugraveuacute iquest` agraveAgraveAacutesup1AcircnAtildeFAgrave5Auml|raquoLAacuteAuml|AringcedilAElig$Ccedilgsup1AacuteIcircAuml|AringAacuteNtildeAtilde5Ecircordm|AtildeAElig_aIuml xQ||k|~pwld lnrRtcododUacutex4shy(l not v9sectpqo4v 4tu notuU v divideJw iquest divide xJx ydividezrJr Iumlh=Icirc~Atilde5AEligwraquo~frac14dAring~EcirciquesthIumliquestfWIuml=szligAtildeOgraveYacutecedilIAtilde5ordm|sup1Atildecediliquestfrac14draquoiEcirc g Iuml5Z=AumldAring~frac12AtildeAacute4] uacute_^J^z^ iquest`currenatildeUAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12cedilAtilde5ordmdsup1AumldraquoAEligwraquoifrac14dUgrave|AtildeEumlsEacuteifrac14dAEligwAtilde5EcircAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquofrac14|Ecircfrac14dOumlAacuteAtilde5EcircFAacuteAumlyEcircsup1s]AtildecedilAtilde5raquoLAacute-Ouml~IcircLfrac34AEligwsup1Agrave5frac14dfrac12~raquoAuml|sup1AEligwAtilde9Igrave(AumlUEcircAtilde5frac12AElig_aIuml xQ||k|~pqld~ lnrRtco~$osect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4vt iquest uacute|uacute_q y~uacute|uacute xIumlh=Auml|IcircAtilde5raquoiquestIuml] uacute4^z^uacute iquest`currenmiddotraquofrac14dAgrave Aacutesup1Acirc|Atilde Agrave5AumldraquoLAacuteAuml|AringcedilIacuteIgrave(AumlUEcircAtildefrac12AEligtimesfrac14draquo~EcirceumlEacuteifrac14dfrac12frac12AumlLAuml|raquoAElig_aIuml odshyiUrv pumltutcod pwl Utc0ldix4shyl not vsectEgravepwo4v tu not x4shyl not vOtildePnv p rsldidtu not) iquest divideUuacuteduacuteydivideLuacute UIumlh=Auml|IcircAtilde5raquoiquestSIumliquestUumlIuml13ZEgravefrac14cedil4Ecircsup1raquo~AtildeAacuteiquestfrac14raquoiEcircoNtildeIumlagrave9frac34Lfrac14dAgrave4Icirc~AtildeJ] uacute_^J^z iquest`atildeUAringcedilwOgraveufrac14dAgrave5Atilde0cedilAtilde5Agrave5Auml|raquoAEligqAacutewcedilAring~AgraveAacutesup1AumldraquotimesAring~AEligwsup1raquoordmfrac14AgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilaumlIgrave(AumlUEcircAtilde5frac12AElig_aIuml igraveiacuteraquoS] Lsect=xQ|od5v pv P4v od vwodshy(v rRp tc j v rregodtimestuodshyiUrv pumltutco Iuml~atildefrac14raquoUacuteTHORNampsup1Atilde5ordm|AumliquesthEgraveagraveyIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquestEgraveUumlIuml] dividedugrave|ugravedugrave iquest`currenatildeAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquo Ouml~frac14cedilAgrave5Auml|raquoLAacuteAuml|AringcedilAEligUacutefrac14AgraveAacutesup1currenOgraveuAEligUacuteAtilde5raquosup1Igravefrac14dordmdAtildecedilsup1AtildeIacuteIgraveAtilde5Ecircsup1Agravefrac14dfrac12AtildeIacuteEcircfrac34UEumlraquoifrac14dIgrave(sup1ecircLAring~Atilde]ampfrac14Ouml~Ouml~frac12sup1Agravefrac14ZAacutesup1AumldraquoAtilde5raquoeumlAgravefrac14Zcedil4Ecircsup1Auml|frac12Auml|ordmdsup1Atilde raquoUAring~Agravefrac12Atilde5frac14dsup1currencedilAtildeJaIumlfIcircIuml THORNFIumlAacuteIcirc~Atilde5AEligwsup1AElig5iquestraquo~sup1AcircnAtildecedilAEligwsup1currenAacutefrac34`AumlOgraveosup1Agrave5AtildeEumliacuteatildeAumldOuml~Icircsup1Yacutefrac14NtildeagraveraquoLAacutesup1OumlPAuml|frac12sup1AElig5iquestPeacutecedil4frac14raquo~Agrave5AtildedIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquest|UumlIumliquestUaacuteIacuteIumlEZEgravefrac14cedilfrac12frac14dAring~Ecirciquest[NtildeIumlLagraveAringEacutePAtildecedilwAacuteiquest|frac14draquoiEcirc dIumlnTHORN$frac14ZcedilAgrave5Auml|AringcedilwAacute4] divideugrave|ugraveUuacute iqueste`currenatildeOuml~frac14dAgrave5AtildeEgraveAacutesup1Igrave(AtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14EumlAacutesup1AumldraquoUacuteAring~AEligwsup1raquoordmfrac12Atilde5AcircnAtilde5frac12AEligwAtildeAacutefrac14dAgraveAacutesup1AcircnAtilde$AgraveAuml|raquoLAacuteAuml|AringcedilAEligfrac14Ouml~Ouml~frac12sup1AtildeEcirciexclAacuteAumlFIgraveNtildefrac34LAumlLAgravefrac14Zcedil4Ecircsup1frac14dfrac12ordmnfrac14ZAacuteAtildeEcircOtildeatildeIf-UumlkhEgraveETHaIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu not t v rJw iquest)x qJ+y xJ ^ Iuml

THORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquest13iexclNtildeIumlfrac14draquo~EcircdIumlWaacuteAuml|raquoLAacute4frac14ordm|raquoifrac14ZAacute4] divideugrave|ugraveUuacute iquest` ETHBAumldOumlPAuml|frac12Auml|ordmfrac34Oslashfrac14raquoiEcircIacuteAEligwIcirc~frac14dOumlPAtildeAgraveAuml|raquo~AEligqAacutewcedil4frac14sup1raquoUAacuteAEligyAumldraquotimesOumlifrac14Zcedil4frac14EumlIgrave(AtildeAacutewcedilsup1AgraveOslashfrac14dAgraveAacutesup1AcircnAtildearingAgrave5AumldraquoLAacuteAuml|AringcedilAElig_aIuml odshy~rv pumltutcodldP x4shy(l not vPLv p4rsldPtu notcent) v divideJw iquestuacute_qnugrave4yiuacute4rUuacute Iuml[Auml|Igrave(Atilde5AElig5iquestpounddIumlfrac14draquo~EcircaringmiddotNtildeIumleacuteifrac14Aring~ordm|Atilde cedil4frac14dAElig_] divideugrave|ugrave|ugrave iquestcurren` szlig9Atilde5Agrave5Aumldraquo~Agrave5sup1frac12sup1raquo~ordmIacuteEcircsup1AEligqAacute4frac14draquoAgrave5AtildeOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligfrac14draquo~Ecircaeligfrac12Atilde5AcircnAtilde5frac12EgraveAEligwAtilde AacuteAElig_aIumlpoundUodUp il|WoqUacuteumltul|-odshyNtildeshyFU~tR4lrRtcodTldix4shyl not vampgvipv v rsldrRtcod ) iquest dividedugravez^+ydivideddividez Iuml[cedil4frac145frac34LiquestszligyIumliquestdIumlyen-Auml|Aringraquo~ordmiquestampfrac14raquoiEcircagrave0Iumlampagravesup1currenfrac34LAtildecedil4] dividedugravedugraveuacute iquest `aacutesup1raquosup1IgraveNtildeAring~Igrave Ecircsup1AEligwAgrave cedilsup1Igrave(sup1raquo~frac14Aacutesup1Auml|raquosup1raquoOgraveregAumldcedilIgravefrac14Aacutesup1AumldraquoAgrave5frac12Aring~AEligqAacuteAtildecedilsup1raquo~ordmI]Igrave(AumlUEcircAtilde5frac12sup1raquo~ordmTfrac14raquoiEcircOslashecircLAringifrac14raquoUAacutesup1Ocircfrac14ZAacutesup1Auml|raquoOslashCcedilgsup1currenAacuteIcirc ordm|frac14dAringAEligwAEligIgrave(sup1currenicircAacuteAringcedilAtilde5AElig_aIumlTigraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquest=atildePIumliquest=aacuteIacuteIumlkZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestEgravefrac14raquoiEcirc[NtildeIuml=agrave9Aring~EacutePAtildecedilwAacute4] dividedugrave|ugraveUuacute frac14Uiquest` agrave EumliacuteatildeUAacuteAtilde5Ouml frac14dfrac12ordm|Aumlcedilsup1currenAacuteIcirc~IgraveAring~AEligwsup1raquoordmcedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtilde=Agrave5Auml|raquoLAacuteAuml|AringcedilAEligeOgraveuAumldcedilAcircUsup1EcircAtilde5AumlAuml|EacuteUbrvbarqAtilde5Agrave AacuteAElig=EcircAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoSaIuml~igraveraquo13]psect xw j x4 sect odpDumlqo odUacutex4shy(l not v9Pl| ~tu5op j rRtushyvwdtclNtildex4rv pwlnrRtKndvy]v pntc4v IumliETHWfrac14dIgrave(OumlPAtilde cedilAtilde|iquestieacuteWsup1raquofrac12Yacutefrac14raquoiEcirc]Iumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquestUatilde]IumliquestUaacuteIacuteIumlUZ=frac14cedilfrac12frac14dAring~EcirciquestUfrac14raquoiEcirccopy[NtildeIumlUagrave9Aring~EacutePAtildecedilwAacute4] dividedugravedugraveuacute EacuteiquestA` szlig9Atilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14AgraveAacutesup1AcircnAtildegAgrave5Auml|raquoLAacuteAumldAringcedilAEligOgraveuAumldcedilAcircUsup1YacuteEcircAtilde5AumlaringAuml|EacuteUbrvbarqAtilde5Agrave AacuteOtildeAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo Ccedilgsup1currenAacuteIcircaAgrave5frac14dIgrave(Atildecedil4frac14OslashAgrave5AumldIgrave(OumlPAtilde5raquo~AEligfrac14ZAacutesup1Aumldraquo13aIumligraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquesteatilde]IumliquestWaacuteIacuteIumlZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestefrac14draquo~Ecirc[NtildeIumlBagraveAring~EacutePAtilde cedilwAacute4] divideugrave|ugraveuacute Agrave|iquestk` g sup1EcircAtilde5AumlUacuteAuml|EacuteUbrvbarqAtildeAgraveAacuteFAEligwAtildeordm|Igrave(Atilde5raquoLAacute4frac14Aacutesup1AumldraquoAring~AEligwsup1raquo~ordmIacuteAtilde5Aring~frac12Atildecedilsup1frac14draquo cedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAElig_aIuml igraveiacuteraquoS] x4rv p ildrRtcodil|yodv pwv P4vIacuteoodshyiUrv paumlumltutcod Iuml g frac14draquoAgrave5Auml|AringAcircnAtildecediliquestehEgravefrac14draquo~frac14|Ecirc~frac14UIumlbyfrac14dAEligwAElig5iquesteaacuteIacuteIumliquestWagrave0Iuml Ucirc sup1currenAacuteUgravesup1raquoiquestWfrac14raquoiEcirctimesTHORNFIumlWETHBAtildecedilOcirc5AumldOumlPAuml|Aringfrac12AumldAElig_] uacute4^ JUiquestk`currenatilderaquoifrac14UgravenAtilde5AElig_]WagraveAgraveAacutesup1AcircnAtilde(Agrave5AumldraquoLAacuteAuml|Aringcedil0Igrave(AumlUEcircAtilde5frac12AElig_aIumlx4~rv p4PldrRtcoPl|WpoundUop4PldWoqodshyiUrv pTumltutcod iquest ndivideUuacuteyUzndivide Iuml

aacuteUacutefrac14dfrac12frac12frac14|Ecircsup1ciquest~szlig0IumliquestedIuml]atildeUAtildeAacuteIcirc~sup1frac14raquoiquest~frac14draquoiEcircZIuml g Atilde5IgraveNtildeAringcedilsup1G] uacute4^z^ UiquestS`atildeUIcircifrac14OumlPAtilde$Igrave(AumlUEcircAtilde5frac12sup1raquo~ordm0Ccedilgsup1AacuteIcirciexclOgraveregcedilAuml|raquoLAacuteOumlcedilAumldOumlifrac14dordm|frac14EumlAacutesup1Aumldraquo13]nfrac14ampfrac12AtildeAcircnAtilde5frac12AEligwAtildeAacuteEgravefrac14Ouml~OumlcedilAumlnfrac14dAgrave4Icirc13aIuml xQ|||~pwld lnrRtcodampodsectgldrRrv p 9Pl| ~tu9ldP j ln4Utreg]vx4~rvu t not v i4v Iordf iquest uacute z yiuacute+r UIuml

aacuteUacutefrac14draquoAEligwAuml|Aringcedilsup1Riquestagrave0Iumlfrac14draquo~EcircdIumlb$Auml|raquocedil4frac14|EcircS] uacute_^J^J^ iquestlaquo`currenaacuteAumldAacutesup1AumldraquoAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo`Ccedilgsup1currenAacuteIcirceumlfrac12Atilde5AcircnAtildefrac120AEligwAtilde AacuteAElig_aIuml igraveraquo13]x4~rv p4PldrRtcoPl|=ov pwv P4vNtildeodUacutex4shyl not vsectEgravepwo4v tu not Iumlcb$AumldEacutePAtilde|iquestednfrac14dOuml~frac14draquoIuml

aacuteAuml|raquoLAacute4frac14dordmdraquoifrac14ZAacuteiquestdIumliquestziexcl0IumlTHORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquestdfrac14draquo~EcircoNtildeIumlZagravegfrac34Ufrac14dAgrave4Icirc~AtildeJ] dividedugrave|ugraveUuacute iquest` agraveOslashcedilAtildeAcircsup1AtildeCcedilaeligAumldOgravePEcircAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeAEligwAringcedilwOgraveufrac14dAgrave5AtildeAElig_]AacuteAuml|OumlPAuml|frac12Aumldordmdfrac34Liquestgordm|AtildeAuml|Igrave(AtildeAacutewcedilwfrac34frac14draquoiEcirc EcircAtildeOgraveuAumlcedilIgravefrac14Aacutesup1Auml|raquoSaIuml x4shyl not vtimesldiOacuteumltutcododshy~rRtreg not0Inot v uacute_qw iquestuacuteugravendivide+y~uacuteugravezq|ugrave Iuml

aacuteAring~IgraveOgraveregAumldcedil4Ecirciquest=THORNFIumlgfrac14raquoiEcircdIumlatildeIcirc~frac14dIcircS] uacute4^ ^ iquest`currenmiddotOumlAacutesup1Igravefrac14frac12$frac14dOumlOumlcedilAumlicircsup1Igravefrac14Aacutesup1Auml|raquoAEligEacuteLfrac34Oumlsup1AtildeAgrave5AtildeCcedilgsup1AEligwAtildetimesAEligwIgrave(AumlLAumlAacuteIcircOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligFfrac14raquoiEcircOslashfrac14dAEligwAEligwAumlLAgravesup1Yacutefrac14ZAacuteAtildeEcircaringAcirc|frac14Zcedilsup1Yacutefrac14ZAacutesup1Auml|raquoifrac14frac12EgraveOumlcedilAumldEacute~frac12Atilde5Igrave(AElig_aIuml odshyNtildeshyFU~tR4lrRtcod~oaeligsectEgraveUpvUacuteldiEgraveni tsvw j ldrreg~v shy(lrRtccurrenshyt iquest rzr4y xJ q Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfa

yenKbrvbarsect =4 acirc $ zmiddotAEligwIcirc~AtildecediliquestdatildePIumlfrac14draquo~EcircdIumlnatildeAtilde AacuteIcirc~sup1frac14draquoS] uacute4^ ziquest` eacutecedilAuml|raquoLAacuteAEligeOumlcedilAumldOumlifrac14ordmnfrac14Aacutesup1raquoordmCcedilgsup1currenAacuteIcircFAgrave5AringcedilAcirc|frac14ZAacuteAringcedilAtildeEumlEcircAtilde5OumlPAtilde5raquoiEcircAtilde5raquoLAacuteBAEligwOumlPAtildeAtildeEcircS]

agravefrac12ordm|Aumlcedilsup1AacuteIcircIgrave(AEligEacute~frac14dAEligwAtildeEcircaumlAuml|raquoiexclampfrac14Igrave(sup1frac12AacuteAumldraquoEumldnfrac14Agrave5Auml|Eacutesup1eacute~AumldcedilIgraveNtildeAring~frac12frac14Aacutesup1Auml|raquoSaIuml poundUodUp4Pl|oqiexcloshyiUrsldrRtcoPl|sect=U~tc ordfenot iquest uacutedivide4yEqE^ Iumlfefrac14cedil4frac14ordm|sup1Auml|AElig5iquestoNtildeIumlfrac14draquo~EcircIacuteszligyIuml]THORNampAtildecedilsup1Agrave4Icirc~AtildeJ] uacute4^z^J^ iquest`s[Atilde5AumlUEcircAtildeAEligwsup1Agravefrac14AgraveAacutesup1AcircnAtildeFcedilAtilde5ordmdsup1Auml|raquo~AElig$OgraveregAumldcedil0Igrave(AumldAacutesup1Auml|raquoTAtilde5AEligqAacutesup1Igravefrac14Aacutesup1Aumldraquofrac14draquoiEcircAacutewcedil4frac14dAgrave4UgraveUsup1raquoordmAaIumligraveiacuteraquoS] x4rv p ildrRtcodil|-ov pwv P4vFodOslashodshyiUrv paumlumltutco Iumleh=AumldcedilwOgraveregAringgt[cedilAtilde5Atilde5Agrave5Atilde|Iumlfefrac14AacuteAtilde5Aringicirc]iquestatilde]Iuml] dividedugravedugrave|ugrave iquestpound`currenatildeOuml~frac14Aacutesup1frac14dfrac12AEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoTAumldOgrave=Agrave5Auml|frac12Aumlcedilysup1Igravefrac14ordm|Atilde5AEligampfrac14dAgrave5Agrave5Aumlcedil4Ecircsup1raquo~ordmAacuteAumlUacuteaacuteTHORNaringOgraveregAumldcedilIgravefrac14dfrac12currenEumlsup1AEligwIgraveaIumlyigraveraquo13] x4~rv p4PlrRtcodPld=od5v pv i vodododpFtu pwl4UtcldPx4shyl not vysectpqo v tu not Iumlatildefrac14dsup1raquoLAacute UumleAacutesup1Atilderaquo~raquo~Atildediquestieacutecedil4frac14raquo~Agrave5AtildedIumlfcedilAtildeAgrave5sup1Auml|AEligwAumliquesteacute=IumlEgravefrac14raquoiEcirc aacuteIacuteIumlcurrenZEgravefrac14cedilfrac12frac14dAring~EcircS] dividedugrave|ugraveUuacute iquest` Z-EumliacuteatildeUOuml~frac12sup1raquo~Atildeaumlfrac14dAgrave Aacutesup1Acirc|AtildeOtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAEligOgraveregAumldcedilOgraveRfrac14AEligqAacuteAcircUsup1EcircAtilde5AumltimesAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIumlOacuteigraveraquo13] x4rv p ildrRtcodil|od5v pv P4vaeligod x4shy(l not vUacutesectpqo4v 4tu not IumlETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1Riquest[cedilAtilde5Atilde5Agrave5Atilde|Iuml

szligAumldraquoOgraveufrac14cedil4EcirciquestszligyIuml] uacute_^J^q iquest` szlig9Atilde5ordmdsup1AumldraquoEumlsEacuteifrac14AEligwAtildeEcircFAEligqAacutewcedil4frac14ZAacuteAtilde5ordm|sup1Atilde5AEligeOgraveuAumlcedil-frac14dAgraveAacutesup1AcircnAtildeEgraveAgraveAuml|raquoLAacuteAuml|AringcedilIgrave(AumlUEcircAtilde5frac12AElig_aIuml x4~rv p4PldrRtcoPl|poundUodUp il|WoqodshyiUrv paumlumltutco I v dividezw iquest divideddividez^+yUdivide uacute Iuml

atildefrac14Igrave(AEligwAuml|raquoiquestzhIumliquestzIumlzZ=frac12frac14raquo~AgraveEumleacuteAtildecedil4frac14AringiEcirciquestJ[NtildeIumldagraveAringEacutePAtildecedilwAacuteiquestfrac14draquo~Ecirc dIumlJregPAtildecedilAring~Eacutesup1frac14I] dividedugravedugrave|ugrave iquest` agrave frac12Atilde5Acirc|Atilde5frac12UAEligwAtildeAacuteIgrave(AumlUEcircAtilde5frac12nOgraveregAumldcedilsup1Igravefrac14ordm|AtildeAgrave5frac12frac14dAEligwAEligwsup1siAgravefrac14ZAacutesup1Auml|raquo13aIuml x4~rv p4PlrRtcodPldpoundUodUp4Pl|BoqNtildeodshyiUrv pOtildeumltreg4tRod shy v Ew iquest uacute r4y~uacute4^Er Iuml

atildefrac14raquo~ordmdCcedilgsup1raquoAtilde|iquest9atilde]IumlEgravefrac14draquo~Ecircszlig0IumlampiexclAumldcedilraquoAtilde v Atilde5EcircAElig5Iuml w ] uacute_^J^ Uiquest ~vIacuteo|odUpaumltushyl not vipqo4v 4tu not ldP|m4oo4uml Iumlh=Icircifrac14dOumlIgravefrac14draquodegmacriexclampfrac14dfrac12frac12RIumlatildeAtildeAacuteIcircsup1frac14draquoiquestdIumlplusmn] uacute4^z^|ugrave iquestU` oAringIgrave(Atildecedilsup1Agravefrac14dfrac12Ufrac14frac12ordm|Aumldcedilsup1currenAacuteIcircIgrave(AEligWOgraveuAumldcedilOumlcedilAuml|Oumlifrac14ordmnfrac14ZAacutesup1raquoordmsup1raquoLAacuteAtildecedilwOgraveRfrac14Agrave5Atilde5AElig_]Jiexclampfrac14dIgrave(sup1frac12currenAacuteAuml|raquoEumldnfrac14dAgrave5AumldEacute~sup1

AtildeecircLAringifrac14Aacutesup1Aumldraquo~AElig-frac14draquoiEcircAgraveAuml|raquo~AEligwAtilde cedilAcirc|frac14ZAacutesup1Aumldraquo(frac12frac14CcedilgAElig_aIuml poundUodUp4Pl|]oqEgraveyen$t lv pv rRtcl| voshyv rRp~ iquest uacute4Uuacutey~uacute x uacute IumlatildeAtildeAacuteIcircsup1frac14draquoiquestAdIuml] uacute4^J^ xiquest kWvndvB]v r j v rregod IumlcurrenhEgravefrac14dIgraveNtildeEacutecedilsup1EcircordmdAtilderaquosup1AcircPIumlAfecedilAtilde5AEligwAElig5Iumlatildesup1Ecirc~Ecircsup1ecircUsup1Riquest4bIumliquest_yenNtildeIumlBfrac14Aring~Ocirc5sup1Gsup2AtildecedilAtilde|iquestagraveyIumlETHWfrac14draquoraquo~Atilde5raquoUEacute~frac14dAring~IgraveUacuteiquest5frac14draquo~EcircNtildeatildePIumlregPAring~Agrave4UgravenAtildecedil4] uacute_^J^ xUiquestE`currenagravegcedilAtildefrac149frac14draquoiEcirc$frac12Atilde5raquoordmdAacuteIcircyIgrave(sup1raquoEuml

sup1Igrave(sup1Ocirc5sup1raquoordm sup3iAumlCcedilgAEliggOgraveuAumldcedilAEligwIcircifrac14OumlPAtildeyAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo13aIuml xQ|||~pwl~ lnrRtcodoOtildex4shyl not vsectEgravepwo4v tu notordf v Ew iquest qEz+yqzqE Iumlyen=AtildeOcirc5Ocirc5sup1RiquestagraveyIumliquest5agrave0Iuml5ETHEgraveAEligfrac14dsup1Riquestfrac14draquo~Ecirc$agrave0Iuml Ucirc sup1frac12frac12AEligwUgraveLfrac34] uacute4^z^J^ iquestJ` agraveaeligAEligqAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12Ufrac14dOumlOumlcedilAumlnfrac14Agrave IcircampAacuteAumlgAEligwraquo~frac14dUgravenAtilde5AElig]OgraveuAumlcedilWEacutesup1Igrave(AumlUEcircfrac14dfrac12frac14draquoiEcircAacutewcedilsup1Igrave(AumlUEcirc~frac14frac12isup1Igravefrac14dordmdAtildecedilwfrac34aIumligraveraquo13] x4rv p ildrRtcodil|eodv pwv P4vyodx4shyl not vgsectpqo v tu not IumlAb$AumldEacutePAtildednfrac14dOuml~frac14draquoIumlreg]IcircUAringiquest]atilde]Iumlfrac14raquoiEcircaumlagrave0Iumleyen=Aringsup1frac12frac12AtildeJ] uacute_^J^ xUiquestpound` szlig9Atilde5ordmdsup1AumldraquotimesAgrave5AumldIgrave(OumlPAtildeAacutesup1currenAacutesup1Auml|raquo13]iAring~raquo~sup1currenOgraveYacutefrac34sup1raquoordmiexclAEligwraquo~frac14dUgravenAtilde5AElig5iquestPcedilAtildeordm|sup1Auml|raquoTordmdcedilAumlCcedilgsup1raquo~ordmiquestfrac14draquoiEcircZEgravefrac145frac34LAtilde5AEligacute|aacuteTHORNOgraveregAumldcedilIgraveFAring~frac12currenAacutesup1Eacuteifrac14raquoiEcirc sup1Igravefrac14ordm|AtildeTAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo13aIuml xQ|||micro~pwld lnrRtcodtimesosect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4v Icent iquesteJ q+yU^dugrave|ugrave Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfo

i $amp)(+-)013021+345627893lt=gt9A6CBfrac12OcircacuteIshyNT

frac12OcircacuteIltNTpara frac12frac34EMeJaumlQcYZYZjJUacuteQsY H [ ^QEgraveJLhZJUO H QcN H J H MeJordfXiacute[]fcfR[WQcO[Oslash^e[]ZaringNPQsOXiacutejOb H QR[]ONPfdaringocirc|adOuml times jOcircaacute uuml times a2atildeltszligaumlgtszliglOuml times j atilde auml

G QsObnJ H MJeumlYZJ H [SXIacuteNPfcfUacute^e[]ZaringNPQsOYMNPY Oe[ H N Y H hjb H jhZJ`[SXUPJUb H [PhQcNPfOtildeYZKNPbnJSefRJ H jYZ N`PJ H MeJeumlhZJ[]QR[]OYJUP[]fVUPJ H MehZ[]j[]M NrXqNSZaringQcfVm [SX H hNPOYYX[PhlZ N H QR[]OYa(|aagraveszlig jj emiddot iacuteaumlYlZOslash[[ H MaNPO^ centQ ~JUb H QVUPJS^ not [PhNOslashKEgrave[]QcO H $ aacute atildeshyszligaumlN eFWFJTOe[ H JSaring$ aagravej|aacutemiddot|aagraveszlig $ j WiexclQ H M |a s szlig $ jaacute $OumlcopytimesaagravejOcircaacutemiddot|aagraveszliglOumlutimesdj WiexclQ H M |a s szliglOumlcopytimesAjOcircaacuteAumlOumlutimes9J H jY H MeJUO^JOeJ H MeJordfUPJUfR[WbLQ H moUPJUb H [PhdY JUfs^kfrac12 YZjbM H MN H aringfrac12sup1aagraveszlig $ aagravejj|aacute aelig |aelig agrave aagraveszlig $ j YlaquoXiacuteNiharingNPY H MeJ bn[]ZOslashKj H N H QR[]O[SX H MeJ ^eJLhQU~N H QVUPJ QcYOslashbn[]ObnJLhOeJU^OeWFJNihZJQcOWVH JLhZJUY H JU^ QcO YYZaringNPfcfOtilde^JX[PhlZ N H QR[]OY^ J H MBjYJkWKNPO^ H MeJ H hNPOYX[PhZaringN H QR[]ONPbLbn[Ph^QcO[ H [hdY H [Ph^eJLh NmWfR[PhyacuteXiacute[PhlZtimesjfcNaring|aagraveszlig $ jpoundaacuteAElig|a s szlig $ j agrave aelig |aelig agrave a s szlig $ jaacute $ ragrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacute frac14 frac14 a s szlig $ j^ J H MeJUOQcO H hZ[W^jbnJ H MehZJLJgZ NPQcO^eJOQ H QR[]OYaringf^QMeJg0jfRJLhQcNPO^eJLhQU~N H QVUPJOtilde[SXocirc|adOuml times jordfaqQcO H MeJIacute^QRhZJUb H QR[]O[SXcedilfrac12jaring ocirc|adOumlcopytimesszlig_frac12jOcircaacutefcQZUcedil iacute ocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave admacrfj ^QMeJgZaringN H JLhQsNPfg^eJLhQVUiN H QVUPJOtilde[SXuumlStimesYa $ szliglOumlcopytimes)jaringsup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j|aacutefcQZUcedil iacute uumlStimesa $ ragrave3frac12ba $ jszliglOumlutimes agrave3frac12sup1a $ jj uuml]timesa $ szliglOumlcopytimesdjagrave admacr j^QMeJaumlYZMNiKEgraveJOtilde^eJLhQU~N H QVUPJOtilde[SXOcircuuml]timesa $ szliglOumlutimes)jaring

uumlnotraquotimes a $ szliglOumlcopytimesUcircszlig_frac12 jaacutefcQZUcedil iacute uumlStimesYa $ szliglOumlutimesragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave admacrS]j

uumlnyacutenthornnyumll13YSordmY_Fordfy

yenKbrvbarsect =4 acirc $ hq centUWQR[]jYZfVmSe-centmaJkBKNPO^QcO[ admacr jUacuteNPbLbn[Ph^QcOF[ H [hdY H [Phd^eJLhordfNmBfR[PhordfXiacute[PhlZtimesjfcNeWFJaumlMNUPJSaring sup1uumlStimesYa $ szliglOumlcopytimesUcircszlig_frac12 jaacuteAumluumlnotraquotimes a $ szliglOumlcopytimesszlig_frac12jhuumlStimesa $ szliglOumlcopytimes)j frac12sup1a $ j admacrj J H MeJUOabn[]ZOslashK-j H JZOslash[PhJaumlKhZJUbLQcYZJUfVm H MJ0jfRJLhQcNPO ^eJLhdQVU~N H QUPJauml[SXcopyocirc|adOumlcopytimesdj^ JMNUPJSaringocircOcircadOumlutimesaagravejj ocircOcircadOumlutimes)jagrave aacute fagrave = thorn yuml uuml times a $ aagravejszliglOuml times aagravejj $ uuml times a $ szliglOuml times j $ FH admacrSmacr]j5O H MJohY H QcO H J[PhdNPfdeltWFJZaringN`PJ H MeJU~NihdQcNicentfRJ bMNPO[PJ $ aagravejaacute $ agrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacuteethicirc7a2atildeshyszligaumlFjszligicirc cent a2atildeltszligaumlj eWMQcbdM[]QVUPJUYaring thorn yuml uuml]timesYa $ aagravejszliglOumlcopytimesYaagravejj $ aacute admacrS]j

5 uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlutimes agrave3frac12sup1a $ jjlt^eJ H ocirc a $ jlt $WMJLhZJocirc a $ jQcY H MeJgXiacute[]fcfR[WQcO[aringSNPbn[PcentQcNPOtZaringN H hdQkKaring

ocirc a $ jaacute oacute fcedilxagrave frac14 iacute oslashfrac14Uordm agrave frac14 iacute oslashfrac14 ugraveagrave frac14 iacute acircfrac14ordm fcedil agrave frac14 iacute acircfrac14 ugrave ocircNPO^ YZ[eFWNtildeJIacuteMNUPJSaring

^eJ H ocirc a $ jOcircaacute fUragravee^QVUKafrac34frac12sup1a $ jjragrave cent ^eJ H amacr frac12sup1a $ jjMJUOWNtildeJauml[Pcent H NPQcOOaring

fsQZcedil iacute ^eJ H ocirc a $ j fagrave aacute ^QVUKafrac34frac12sup1a $ jj admacr]zSjMJJBjN H QR[]OxadmacrSmacr]j H MeJUOcent=JUbn[]ZaringJUYaringocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave aacute fagrave middot uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jjlt 13raquo ocirc a $ jlt $ uumlStimesa $ szliglOumlcopytimesAj $ admacrSi]j JTbLNPO`YZjeKKEgrave[]YJ H MN H ^eJ H aocirc a $ jjfrac14aacute sfrac12 agrave frac12 $ ^ JZaringNm H MeJUO H N`PJ^eJ H aocirc a $ jjfrac34 s eNPO^ WNtildeJ ^eJUPJUfR[PK H MeJaJkWKhZJUYYZQR[]OadmacrSi]j NPYoX[]fsfR[WQsO[centmNP^^QcO[aringN H JLhZ QcO H MeJIacuteYZJUbn[]O^aQcO H J[PhNPfltWMQcfcJaumlYZjeKKhJUYZYZQcO[ H MeJtimesYZNSZOslashJ H JLhlZQcO H MJordfhY H QcO H J[PhNPfdaring ocirc|adOumlcopytimesYaagravejj ocirc|adOumlcopytimes)jagrave aacuteegraveOtildef1rOtilde cent admacrSh]j

uumlnyacutenthornnyumll13YSordmY_Fordf

s $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJSaring

Otilde aacute uuml]timesa $ ragrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave ^eJ H aocirc a $ jj $ ad s jOtilde cent aacute uuml]timesa $ szliglOumlcopytimesdj ^eJ H aocirc a $ jj fagrave $ adfj

9J H jY_ZaringN`PJordmagrave H JUO^ H [WNih^Y s ^curreniquestYZQcO[frac34admacrjiexclNPO^JOQ H Qc[]OYadmacr e macrS]jeWFJ[PJ H aringfcQZUcedil iacute Otilde aacute sup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j $

aacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ uuml times a $ szliglOuml times j frac12sup1a $ j $fcQZUcedil iacute Otilde cent aacute uuml]timesa $ szliglOumlcopytimesdj^QVUKafrac34frac12 j $

O^ Y[Xiacute[Ph H MeJgNtildejfRJLhQsNPO ^eJLhQVUiN H QVUPJSeWFJgO^Oaring ocirc|adOuml times szlig_frac12jumlaacuteyacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ amacrreguumlStimesYa $ szliglOumlcopytimes)j frac12sup1a $ j7 uuml]timesYa $ szliglOumlcopytimes)j^QVUKafrac34frac12sup1a $ jjj $aacute uumlnotraquotimes a $ szliglOuml times szlig_frac12j $ ^QVUKaduuml times frac12j $ ad j

MeJUO NiKKfVmWQcO[ H MJ hJLJUOWVAQRJZ NPOO H MeJL[PhZJZQcO ad jeWNtildeJ5ONPfcfmtimes[Pcent H NPQcOOaring ocirc|adOumlcopytimesszlig_frac12jOcircaacute uuml raquotimes a $ szliglOumlcopytimesUcircszlig_frac12j $ uacutefrac14 5 uuml]timesYafrac34frac12 eacuteAgraveiquestsup1AacuteAtildeAcircj THORN adS]jWMJLhZJ5eacuteAgraveiquestsup1AacuteAtildeAcircyQcY H MeJUacutejOQ H QcOOgraveWNih^ Oe[PhlZaringNPf H [ aelig OumlcopytimesUcirc^MeJ_NtildejfRJLhQcNPO ^eJLhQVUiN H QVUPJQcY(O[ H JU^ ocirc raquo aagravej(QcO H MeJaumlKNiKEgraveJLhNPO^ H MeJaumlYZMNiKEgraveJauml^eJLhQU~N H QVUPJyuuml raquotimes QcY(Oe[ H JU^ frac14 frac14 ^iquest acutemicrosup1cedilFLft not [PhyYQZOslashKfcQsbLQ H mSeWNtildeJ(bM[[]YJ H MeJcopyXiacute[]fcfR[WQcO[_U~NihQsN H QR[]OaeligQcO H MeJKhZ[B[SXaring$ aagravejaacute $ agrave3frac12sup1a $ j^MJiexclKh[[SXZaringNm NPfcYZ[IacutecentEgraveJiexcl^JUPJUfR[PKEgraveJU^WiexclQ H MZaring[PhZJ_[PJUOJLhNPfUiNihQcN H QR[]OYFYjbM NPYaring $ aagravejaacuteAacuteAgravea $ szligYagravejWQ H MAcircAgrave`NOslashYYZOslash[B[ H MXiacutejOb H QR[]ONPO^AcircAgravea szligYagravejcentQ ~5JUb H QVUPJS^

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ ffrac12OcircacuteIshyNT AcircE J(MNUPJ H [Otildebn[]ZOslashK-j H J H MJNtilde^QEgraveJLhZJUO HH JLhZaringY9[SXQa macr]j9QsOauml[Ph^eJLh H [Uacute[Pcent H NPQcO H MeJ

JUP[]fcj H QR[]OJBjN H QR[]O[SX H MeJ NPb H QUPJ bn[]O H []jehX[Ph H MeJ ^JUYZbnhQRK H [PhdYaumlcentNPYJU^Oacute[]OH MeJ(bn[U~NihQsNPObnJ ZaringN H hQVktimes^eJ H JLhlZ QcONPO H a2Ograveh]j^OgraveMeJ(bn[]ZOslashKj H N H QR[]OaringQcYampKEgraveJLhYXiacute[PhlZOslashJU^Xiacute[Ph H MeJIacute^eJUYZbnhQRK H [Ph_uuml thorn timesOslash yuml ^ q centUWQR[]jYZfmSeN YZQZ QcfcNihbn[]ZOslashKj H N H QR[]OabLNPOacent=JIacute^e[]OeJXiacute[PhOcircuuml thorn UgraveUcircUacuteUuml yuml ^ JiexclbLNPOaeligJkBKhJUYZYOcircuuml thorn timesOslash yuml NPYyNUacutebn[]ZTcent-QcON H QR[]Oaelig[SXgtXiacutejOb H QR[]OYamp^eJLKEgraveJUO^QcOF[[]O H MJOtildehZJ[]QR[]OwOuml timesOslash aring

uumlgtthorn times Oslash yuml a2atildeltszligaumlgtszligYagravejaacute`Ograveoacute m thorn timesOslash yumlaIgraveagrave thorn timesOslash yumlAtilde j cent ocirc adjWMJLhZJordmaacuteAuml85eWiexclQ H MAring8 H MeJordfXqjOb H Qc[]O QcO H h[B^jbnJU^ QcOpounda2Ograveh]je-NPO^aringm thorn timesOslash yuml aacute agrave thorn timesOslash yuml agrave thorn timesOslash yumlcent agrave thorn timesOslash yuml agrave thorn timesOslash yumlAElig agrave thorn times Oslash yumlCcedil agrave thorn timesOslash yumlEgrave agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlEgrave j cent agrave thorn times Oslash yumlcent aIgraveagrave thorn timesOslash yumlCcedil j cent agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlAElig j centWQ H MOaring EFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFH

agrave thorn timesOslash yuml aacute w$ thorn yuml aOtilde S times Oslash j cent atilde aumlagrave thorn timesOslash yumlcent aacute w$ thorn yuml aOtildeOgravecent Scenttimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yuml aacute w$ thorn yuml aOtildeS Stimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yumlAElig aacute w$ thorn yuml aOtilde S times Oslash jaOtildeOgravecent ScenttimesOslash j atilde aumlagrave thorn timesOslash yumlCcedil aacute w$ thorn yuml aOtilde S times Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlEgrave aacute w$ thorn yuml aOtilde cent S centtimes Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlAtilde aacute w$ thorn yuml atilde auml O^ Y[ H MJordfXiacutejOb H QR[]OY aelig thorn timesOslash yumlauml MNUPJ H MeJgXiacute[]fcfR[WiexclQcO[aeligJkBKhZJUYZYZQR[]OYaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

aelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlcent aacute aOtilde cent S centtimesOslash j centaelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlAElig aacute aOtilde S timesOslash jaOtilde cent S centtimesOslash jaelig thorn times Oslash yumlCcedil aacute aOtilde S timesOslash jaOtilde S timesOslash jaelig thorn times Oslash yumlEgrave aacute aOtildeOgravecent ScenttimesOslash jaOtilde13 StimesOslash jaelig thorn times Oslash yumlAtilde aacutemiddotf

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBnot h[]Z H MeJUYJaumlJkWKhZJUYYZQR[]OYeWFJOtildeJUNPYZQcfm ^eJU^jbnJ H MN H aring

$ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde aumlregaacute sEacutefrac12poundEcirc iuml

J H MeJUO MNUPJ H [Tbn[]ZaringKj H J H MeJ H JLhlZaringY eacute thorn times Oslash yumlauml XiacutehZ[]Z H MeJJkWKhZJUYZYQR[]OYamp[SXagrave thorn timesOslash yumlauml eWMQcbM fRJUNP^Y H [aringEFFFFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFFFFH

eacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideoslash aacute w$ thorn yuml uacute ouml $ordfdivideacirc uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIgrave yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H a timesOslash jjeacute thorn timesOslash yumlcent aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideacirc

aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIcirc yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideEuml aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideacirc thorn thorn uacute ouml $_divideIuml yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yumlAElig aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIuml aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideEuml uacute ouml $ordfdivideIuml thorn uacute ouml $_divideIcirc uacute ouml $ordfdivideIgrave yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlCcedil aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIcirc aacute w$ thorn yuml cent thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideacirc uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlEgrave aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIgrave aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideoslash uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlAtilde aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIacute aacute w$ thorn yuml thorn +ETH ouml $_dividethorn uacute ouml $ordfdivideIacute yuml Iuml 8 raquo aq^J H a timesOslash jj

O^centmJkWKhZJUYZYZQsO[ H MeJbn[UiNihQcNPObnJZaringN H hQVkpoundWQ H M H MJregXqjOb H QR[]OYagrave thorn timesOslash yumlauml NPYXiacute[]fcfR[WQcO[aring

timesOslashlaquoaacute 1NtildeNtildeNtildeNtildeNtildeNtilde3uacute ouml $ordfdivideoslashuacute ouml $ordfdivideIacute uacute ouml $_divideIumluacute ouml $_divideIacute uacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIumluacute ouml $ordfdivideIacute uacute ouml $_divideacircuacute ouml $_divideIacute uacute ouml $ordfdivideIgraveuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacute uacute ouml $_divideIgraveuacute ouml $_divideIacute uacute ouml $ordfdivideEumluacute ouml $ordfdivideIacute

6OgraveOgraveOgraveOgraveOgraveOgrave7 J H MJUO^eJU^jbnJSaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

eacute thorn times Oslash yuml aacute a fj thorn yuml ^eJ H aDC Ptimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlcent aacute a fj thorn centcent yuml ^eJ H aDC centcenttimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yuml aacute a fj thorn curren yuml ^eJ H aDC 4times Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlAElig aacute a fj thorn cent yuml ^eJ H aDC centtimes Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlCcedil aacute a fj thorn curren yuml ^eJ H aDC times Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlEgrave aacute a fj thorn centcurren yuml ^eJ H aDCcent4times Oslash j48 raquo aq^eJ H a timesOslash jjeacute thorn times Oslash yumlAtilde aacute amp^eJ H a timesOslash j48 raquo aq^eJ H a timesOslash jj

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ SWMJLhZJC EBtimesOslash QcY H MeJgZaringN H hdQk ^eJU^jbnJU^Xh[]ZOacutetimesOslasharingcentm YZjeKKhZJUYZYZQcOF[ H MeJyuuml UumlON hZ[WNPO^ H MJ I UumlON bn[]fcjFZaringOO^]MeJbn[]ZOslashKj H N H Qc[]OordmX[Ph H MeJ^eJUYZbnhdQRK H [Ph|uuml thorn UgraveUcircUacuteUuml yuml QcYyYQZaringQcfcNihNPO^WFJ H MeJUOOslashMNUPJNPfcf H MeJ(JkWKhZJUYZYZQc[]OY H [aumlbn[]ZOslashKj H J H MeJJUP[]fcj H QR[]OaeligJjN H QR[]OXiacutehZ[]Z H MeJg[PJUOJLhNPfOXiacute[PhlZIacutejfcNta macr]j^gtMQcYcopy[]QVUPJUY H MeJTJUP[]fcj H QR[]O JBjN H QR[]Osup1admacr s j^

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBΩ out

Objects

Γ

inΩ

inΩ

Background Part

-t not Upv copy ETHEgraveIcircAtildeampAacuteiacuteCcedil=AumlFcedilAtilde5ordm|sup1Aumldraquo~AElig9AumldOgravefrac14raquoUacutesup1Igravefrac14dordm|Atilde

Ω

Ω out (τ)Ω

(τ)in

N

Γ(τ)

Ω

N

v

w

N

-t not Upv ETHEgraveIcircAtildeyEcircAumldIgravefrac14dsup1raquo~AEliggfrac14raquoiEcircAacuteIcircAtilde$AcircnAtilde5AgraveAacuteAumlcedilAEliggsup1raquoUAcircnAumldfrac12AcircnAtildeEcircsup1raquoiexclAacuteIcirc~Atilde$EcircAtildecedilsup1Acirc|frac14ZAacutesup1Aumldraquo

uumlnyacutenthornnyumll13YSordmY_F2ordf

yenKbrvbarsect =4 acirc $ Smacr

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 Atilde|IumligraveAacuteAtildecedil4frac14ZAacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvyzU eacuteWsup1ordm|AringcedilAtilde5AEligfrac14iquest Eacuteiquest AgraveJ]iUumlAcircnAumldfrac12AringAacutesup1Auml|raquoOtildeAumlOgraveeAacuteIcirc~Atildeyfrac14dAgrave Aacutesup1Acirc|Atilde0AgraveAuml|raquoLAacuteAuml|AringcedilIgravefrac14raquoifrac14ordm|AtildeEcircUacuteEacuteLfrac34AacuteIcirc~AtildefTHORN$Uuml v qzqwsup1raquo~Agrave5frac12AringiEcircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquoifrac14frac12ampAacuteAtildecedilIgrave(AElig5IumlgeacuteWsup1ordm|AringcedilAtilde5AEligOtildeEcirc]iquest Atildediquest Ograve] g sup1AEligwAringifrac14frac12sup1Ocirc5frac14Aacutesup1Auml|raquo`AumldOgrave0AacuteIcirc~AtildeTAgrave5AumldcedilwcedilAtilde5AEligwOumlPAumldraquoiEcircsup1raquoordmAcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 OgraveuAring~raquoAgraveAacutesup1Auml|raquosup1raquo~Agrave5frac12Aring~Ecircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquo~frac14dfrac12ampAacuteAtildecedilIgrave(AEligraquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirc EacutePAtildeAacuteiacuteCcedil=Atilde5Atilde5raquo ugrave frac14draquoiEcirc divide JUiquestAEligwAring~Agrave4IcircTAacuteIcirc~frac14Aacute$AacuteIcircAtilderaquo~Atilde5ordm|frac14Aacutesup1AcircnAtildeAcircdfrac14dfrac12AringAtilde5AElig0frac14cedilAtildefrac12AumlCcedilEgraveAtildecedilyAacuteIcirc~frac14draquo uacutedivide Uacutefrac14raquoiEcircaumlAacuteIcirc~AtildeOumlPAumldAEligwsup1Aacutesup1AcircnAtilde(Aumldraquo~Atilde5AEligyfrac14ZcedilAtilde(Icirc~sup1ordm|IcircAtildecedilAacuteIcircifrac14raquo uacuteZdivide Iuml

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

Ecirc]Iumligraveraquo~sup1currenAacutesup1frac14dfrac12BAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 Atilde|IumligraveAacuteAtilde cedil4frac14Aacutesup1Auml|raquo ugravedugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not Upv ucirc eacuteWsup1ordmdAringcedilAtilde5AEligtimesfrac14iquest Eacuteiquest AgraveJ]ampUumlAcirc|Auml|frac12AringAacutesup1Auml|raquoAumlOgrave(AacuteIcirc~Atildearingfrac14AgraveAacutesup1AcircnAtildeOslashAgrave5Auml|raquoLAacuteAumldAringcedilIacuteIgravefrac14draquoifrac14ordm|AtildeEcirc`EacuteUfrac34AacuteIcircAtildeOcircfTHORN$Uumlv q w iquestiexclCcedilgsup1currenAacuteIcirc~AumldAringAacuteAacuteIcirc~Atildefrac14dEcirc~Ecircsup1Aacutesup1Aumldraquoifrac14dfrac12TAacuteAtildecedilIgrave(AElig5IumliexcleacuteWsup1ordm|AringcedilAtildeAElig Ecirc]iquest Atildediquest Ograve] g sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo AumlOgraveaeligAacuteIcirc~AtildeAgraveAumldcedilwcedilAtildeEumlAEligwOumlPAuml|raquo~Ecircsup1raquo~ordm AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 OgraveregAring~raquo~Agrave Aacutesup1AumldraquoeumlCcedilgsup1currenAacuteIcirc~Auml|AringAacuteIacuteAacuteIcircAtilde frac14|Ecirc~Ecircsup1currenAacutesup1Aumldraquoifrac14frac12FAacuteAtildecedilIgrave(AElig v raquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirceumlAEligwAring~Agrave4Icirc AacuteIcirc~frac14AacuteIgravefrac14icirc vOOtilde wpOumldivide z w Iuml

uumlnyacutenthornnyumll13YSordmY_F2

S $amp)(+-)013021+345627893lt=gt9A6CB

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIumligravesAacuteAtildecedil4frac14Aacutesup1Aumldraquogt ugrave|ugrave AgravedIumlieacuteWsup1raquoifrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12Acirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 AtildedIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIumlieacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvtimesLg sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo(AumldOgravePAacuteIcirc~AtildeAtildeAcircnAuml|frac12AringAacutesup1AumldraquoAumldOgravePAacuteIcircAtildeEgraveAgrave5Auml|raquoLAacuteAumldAringcedil-frac14draquo~EcircNtildeAacuteIcirc~AtildeEgraveAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 v Ccedilgsup1AacuteIcircAuml|AringAacuteAacuteIcircAtildeEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircFAacuteAtilde cedilIgrave w OgraveregAumldcedilEgraveAacuteIcircAtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoAumlOgraveAacuteIcircAtilde9Ograveufrac14dAgrave5AtildeAring~AEligwsup1raquo~ordmyAacuteIcirc~Atilde9Agrave5AumlZAcirc|frac14Zcedilsup1frac14draquo~AgraveAtildeIgravefrac14Aacutewcedilsup1currenicirc]Iuml

frac14Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcircnAtilde EacuteIumligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 v AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde w Agrave|Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacutefrac34 v Acircdfrac14cedilsup1frac14draquoAgrave5Atilde w-t not Upv h=AumldIgrave(Oumlifrac14cedilsup1AEligwAumldraquoOtildeAumldOgraveAacuteIcirc~Atilde$sup1raquo~sup1currenAacutesup1frac14dfrac12eAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34iexclAgrave5Auml|Igrave(OumlAringAacuteAtildeEcircAringAEligwsup1raquo~ordmAacuteIcirc~Atilde$AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde0Igravefrac14Aacutewcedilsup1currenicircv iordmdAringcedilAtildeFEacute w AacuteAumliexclAacuteIcircAtildeAuml|raquoAtildeFAgrave5AumldIgrave(Ouml~AringAacuteAtildeEcircTAringAEligwsup1raquo~ordmiexclAacuteIcircAtildeFAcircdfrac14cedilsup1frac14draquoAgrave5Atilde v ~ordm|AringcedilAtildeFAgrave w OgraveregcedilAumldIgrave AacuteIcirc~AtildeNtildeAEligfrac14dIgrave(Atildesup1raquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcirc|Atilde v iordmdAringcedilAtilde$frac14 w Iuml

uumlnyacutenthornnyumll13YSordmY_F2_a

yenKbrvbarsect =4 acirc $ ]z

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv Oslash| THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5AtildeccediliacuteAtildecedilsup1UgraveUegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_o

Si $amp)(+-)013021+345627893lt=gt9A6CB

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv ordf THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5Atildeccedilqfrac14dUgraveUsup1currenfrac34LAumldegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_y

RR-0114-SJEHANpdf
  • wwwi3sunicefr
    • httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf
Page 18: LABORATOIRE INFORMATIQUE, SIGNAUX ET SYSTEMES DE …mh/RR/2001/liste-2001.pdf · 2002. 6. 27. · [Dir01] DIRAT L. “Outils pour des Mathématiques Interactives et Distribuées”

i $amp)(+-)013021+345627893lt=gt9A6CBQcYUacutebn[]ZOslashK-j H JU^centm`QcO H hZ[W^jbLQcO[N ^mWONSZaringQcbLNPfampYZbdMeJZOslashJaring^QchZJUb H fVm`QsO H MJaringbnhQ H JnVhQc[]O H [frac34ZaringQcOQZaringQVcurrenLJaeligNPYTQcO aJLcenthJUjUPJ J H NPfd^Ve sSs f 5ZaringNP^QcJUjJ H NPfd^VefhShSh]j^iexcl[WFJUPJLheWFJ KhZ[PKEgrave[]YJ MJLhZJ N OJW Xiacute[PhlZtimesjfcN H QR[]O7[SX H MJ^JLhQVUiN H QR[]OjYZQcO[YZMNiK=JIacute[PK H QZaringQcurrenUN H QR[]O H [B[]fcY^ Q H M YjbM NZaringJ H Me[B^egtWFJtimesNihJaeligNicent-fRJ H [hZJUNP^QsfVmH N`PJQcO H [NPbLbn[]jO HaringH MeJ bLNPYJ [SXhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhY H MN H U~NihYm^jhQcO[ H MeJ KhZ[PKN[]N H QR[]O[SX H MeJ NPb H QUPJ bn[]O H []jeh^MeJUYJ ^eJUYZbnhQRK H [PhYTMNUPJH [centEgraveJtimesbn[]OYZQc^eJLhZJU^ YZQcObnJ H MJmaNihZJlaquoWQc^eJUfmjYJU^X[PhOtildejOYZjeKEgraveJLhYUWQcYJU^YJ[]ZaringJUOWVH N H QR[]O^ not [Ph(YZjbdM hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYbnhQRK H [PhYeOgraveWFJiexclYZMe[W H MN H NP^^Q H QR[]ONPfH JLhlZ Y0NiKKEgraveJUNihNtildeQsO H MeJJUP[]fcj H QR[]OaringJBjN H QR[]O [SX H MeJiexclbLjehlUPJ H MN H MNUPJUacuteOe[ H centEgraveJLJUOKhJUBQR[]jYZfVm bn[]ZOslashK-j H JU^O^

pE paraOacuteOgraveJJTIshyAgravesup1cedilqoacuteIshyacuteLcedilsup3UrltLcedilgtmicrobacuteNsMgtLtrraquoML iquest acuteAgravegtT2MKIOAacutelAcirclaquocedilFAtildeacuteNfrac12oRSJT13AringKacutepoundAEligMKIKJMgtPltLAtildeq jhyZaringNPQcOb[P[]NPfFfsQRJUYTQcO H MeJ JUfsNicent=[PhdN H QR[]O[SXNfrac34[PJUOeJLhNPfXhdNSZOslashJWNtilde[Phl`umlX[Ph H MeJYJ[]ZaringJUO H N H QR[]O7[SXNPO7QZaringN[PJQcO H WF[euml^Q=JLhJUO H hZJ[]QR[]OYtimesjYZQcOF[hZJ[]QR[]OWVcent-NPYJU^NPb H QVUPJIacutebn[]O H []jehdY^ JOtildeKhZ[PKEgrave[]YJ H [ZaringQcOQZ QVcurrenLJ H MeJiexcl[PJUOeJLhdNPfgbnhQ H JLhQc[]O a2jWiexclMeJLhZJUacuteJUNPbM hJ[]QR[]OQcYamp^eJUYbnhQRcentEgraveJU^TjYQcO[UacuteN_XqjOb H Qc[]OtimesbLNPfsfRJU^ n^eJUYZbnhQRK H [Ph[SX H MeJhZJ[]QR[]Op^i YampKhZJUWQuV[]jYfVmOtilde^eJ H NPQcfRJU^OeNiexcl^eJUYbnhQRK H [PhQcY9N XiacutejOb H QR[]O H MN H ZOslashJUNPYZjhZJUY H MJNtildeMe[]ZOslash[S[PJUOJUQ H m[SXyN hZJ[]QR[]OO^Egrave_[]Y H [SXyhJUfRJU~NPO H Y H N H QcY H QcbLNPf^eJUYZbnhQcK H [PhY^JLK=JUO^ H MeJZaringYZJUfVUPJUY[]O H MeJOslashhJ[]QR[]OO^ G []ZOslashJOslashJkeNSZOslashKfRJUYOtildeNihJordm[]QVUPJUOQcO G JUb^shy^ macr^ not [PhTJkWNSZOslashK-fRJSe H MeJhZJ[]Qc[]Oa^eJUYZbnhdQRK H [Phordfuuml thorn timesOslash yuml bLNPO centEgraveJTbM[]YJUOeumlNPY H MJyUiNihQcNPObnJvu centtimesOslash [SX H MeJThJ[]QR[]OOumlcopytimesOslashFeWMQcbdM[]QVUPJUYaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashj|aacute[u centtimesOslash aacutexw$ aOtilde SOtimesOslashjUcirccent atilde aumlw$ atilde aumlWMJLhZJSOtimesOslash QcY H MJyZOslashJUNPO [SX H MeJaumlhJ[]QR[]OwOumlcopytimesOslash^ G jbMaNaring^eJUYZbnhQcK H [PhQcY(ONSZaringJU^aNn5hZJ[]Qc[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhlpOslashYZQcObnJaumlQ H ^eJLKEgraveJUO^YF[]O H MeJaumlhJ[]QR[]OwOuml timesOslash ^q ObnJ H MeJTbnhdQ H JLhQR[]O QcYQcO H h[B^jbnJU^OeWNtildeJTKhZ[PKEgrave[]YJ H [ bn[]ZaringKj H J H MeJTJUP[]fcjWVH QR[]OUacuteJBjN H QR[]OT[SX H MJ0bn[]O H []jh H MN H WQsfcfZaringN`PJ0Q H JUP[]fVUPJ H [WNih^YNyacuteZaringQcOQCZIacutejFZ[SX H MeJTbnhdQ H JLhQR[]OjYZQcO[OslashNaringOeJWH0jfcJLhQcNPOZOslashJ H Me[W^O^ H XqjO^NSZOslashJUO H NPfcfVm ^QEgraveJLhYXiacutehZ[]Z2[ H MJLhFNiKKhZ[]NPbMeJUYFYZQcObnJyacuteWNtildeJ_`PJLJLK H MJ Xiacute[PhlZIacutejfcN H QR[]Oaring[SXhJ[]QR[]OY0QsOY H JUNP^[SXyhJU^jbLQcO[ H MeJWiexclMe[]fRJTKhZ[PcentfRJZ H [ centEgrave[]jO^NihYm QcO H J[PhNPfcY^gtO^JLJU^OeWFJlaquohY HQcO H hZ[W^jbnJFNiexcl^mWONSZaringQsbLNPfYZbdMeJZOslashJ(QcO H MeJ(bnhQ H JLhQc[]OIacuteNPO^ H MeJUOWFJbn[]ZaringKj H J H MeJNtildejfRJLhQcNPO`^eJLhQVUiN H QVUPJaelig[SX H MJOslashJUP[]fVUBQsO[ bnhQ H JLhQR[]O`centm`jYZQsO[ YMNiKEgraveJIacute[PK H QCZaringQVcurrenUN~VH QR[]O KhQsObLQRKfRJUY^]MQcYZOslashJ H Me[W^ KhZ[UWQc^eJUY H MeJUacuteNP^U~NPO H N[PJ H MN HH MeJ5U~NihdQcN H QR[]O[SXehZJ[]Qc[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYbnhQRK H [PhYltWQ H M H MeJFJUP[]fcj H QR[]OIacute[SX H MeJNPb H QVUPJ(bn[]O H []jhbLNPO centEgraveJOtildehZJUNP^QcfVm H N`PJUO`QcO H [ NPbLbn[]jO H ^MeJTbn[]ZOslashKj H N H QR[]Oa[SX H MJTJUP[]fcj H Qc[]OaJBjN H QR[]O`[SX H MeJIacuteNPb H QUPJtimesbn[]O H []jehOtildeQcYKEgraveJLhYXiacute[PhlZOslashJU^QcO H MehJLJyZaringNPQcO Y H JLK-Yaring

uumlnyacute|thornLyuml13 y

yenKbrvbarsect =4 acirc $ hf^ltO H hZ[W^jb H QR[]O[SX$NOslash^mWONSZaringQcbLNPfYbMeJZOslashJSaring JTYJUNihbdMX[Ph H MeJOtildeKNih H Q H Qc[]O[SX H MeJaumlQZ N[PJadOumlcopytimesOslashszliglOuml UgraveUcircUacuteUuml szligYYacutejWMQcbdMZaringQcOQuVZaringQVcurrenLJUY H MeJbnhQ H JLhQR[]Oocirc|adOumlcopytimesOslashgtszliglOuml UgraveUcircUacuteUuml szligYYacutej^eJUYZbnhQRcentEgraveJU^aeligQcOa2j^ MQcfRJNPYZYZjZaringQcO[

H MN H NPO`[PK H QZaringNPf9KNih H Q H Qc[]O JkWQsY H Ye H MJTQcYZYZjJTQcY H [ bn[]ZOslashKj H J H MQcYiexclY[]fcjWVH QR[]OO^ G QsObnJ H MeJ YJ H [SX(NPfcfy^e[]ZaringNPQsOYaumlMNPYIacuteOe[ H NaY H hjb H jehZJOslash[SXcopyUPJUb H [PhQsNPfYKNPbnJSeQ H QcYauml^Qz bLjf HUacuteH [abn[]ZOslashKj H J H MeJ ^eJLhdQVU~N H QUPJOslash[SX H MJ bnhQ H JLhQc[]ONPb|Vbn[Ph^QcO[ H [ H MJ^e[]ZaringNPQsOY^_[ bLQchbLjFZUPJUO H H MQcY`KhZ[PcentfcJZeyacuteWFJNiKKfmN H hNPOYYX[PhlZ N H QR[]O| H [ JUNPbM^e[]ZaringNPQsOOeYZjbdM H MN H Q H centEgraveJUbn[]ZOslashJUY`bn[]OWVH QcOj[]jYZfVm^eJLKEgraveJUO^eJUO H []O NPO JUP[]fsj H QR[]O KNihNSZOslashJ H JLhagrave^MeJ`bnhQ H JLhQR[]Ocent=JUbn[]ZaringJUYT^eJLKEgraveJUO^eJUO H []Obagravearingocirc|aagravejgaacute ocirc|adOumlcopytimesOslashaagravejszliglOuml UgraveUcircUacuteUuml aagravejszligYYacuteaagravejj^QO H MQcY^mBONSZaringQcbLNPfTYbMeJZOslashJSeiexclWFJ bLNPO hJUNP^QcfVm H N`PJQcO H [ NPbLbn[]jO H N K=[]YYZQRcentfRJU~NihQsN H QR[]O[SX H MeJ ^eJUYZbnhdQRK H [PhYWQ H M H MeJJUP[]fVUWQcO[ hZJ[]QR[]OYk|adOuml times j aacuteOumlcopytimesaagravej^

^QiexclJLhdQVU~N H Qc[]O [SX H MeJaumlbnhQ H JLhQc[]O jYZQcO[OslashYZMNiK=JOtilde[PK H QZaringQVcurrenUN H QR[]O H MJL[PhZJZaringYaringMeJNtildebnhdQ H JLhQR[]OocircOcircaagravej9QcY H MeJUOIacute^JLhQVUPJU^TNPbLbn[Phd^QcO[ H [5agrave H MNPO`WY H [ H MeJFbn[]ZaeligVKj H N H QR[]Oeuml[SX H MeJ0jfRJLhQcNPOeuml^eJLhQU~N H QVUPJaelig[SX_ocircjYZQcO[YZMNiKEgraveJaelig[PK H QZ QVcurrenUN H QR[]OKhQcObLQcKfRJUYeOWMQcbMQcYIacuteOJWQsO H MeJNihZJUN [SXNPb H QVUPJ bn[]O H []jehY^$ YXqNihOslashNPYH MeJF^JLhQVUiN H QR[]OTQcYbn[]ObnJLhOeJU^e H MeJU~NihdQcN H QR[]OIacute[SX H MeJF^JUYZbnhQRK H [PhdYWQ H M H MeJJUP[]fVUBQsO[OslashhZJ[]QR[]OY_Oumlcopytimesaagravej(NPO^Y[ordmWQ H MagravetZIacutejY H centEgraveJ H N`PJUOaQcO H [aringNPbLbn[]jO H ^

^vF[]ZOslashKj H N H Qc[]O [SX H MJaumlJUP[]fcj H QR[]OJjN H Qc[]OXh[]Z H MeJauml^eJLhQU~N H QVUPJSaringnot hZ[]Z H MeJNtilde^JLhQVUiN H QVUPJSeWFJNtilde^eJU^jbnJ H MeJUPJUfR[WbLQ H mordfUPJUb H [Ph$[SX H MeJFNPb H QVUPJbn[]OWVH []jeh H MN H WiexclQcfcfZaringN`PJQ H JUP[]fUPJiexclNPYXqNPY H NPY$KEgrave[]YZYQRcentfRJ H [WNih^YNtildeNgZaringQcOQCZIacutejFZ[SX H MeJOtildebnhQ H JLhdQR[]OO^ObLNPYJUacute[SX9hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhYe H MeJUacuteJUP[]fcjWVH QR[]OeumlJjN H QR[]Oeuml[SX H MJaringNPb H QVUPJaringbn[]O H []jhTQcYOtilde^QEgraveJLhZJUO H XhZ[]Z H MJtimes[]OJaringbn[]ZaeligVKj H JU^ Xiacute[Ph hZJ[]QR[]OWV4QcO^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhY^ G []ZOslashJ`NP^^Q H QR[]ONPf H JLhZaringYNiKKEgraveJUNihiexclNPO^`Y[ Q H QcY[SX$KhdQZOslashJaumlOeJUbnJUYZYQ H m H [bn[]OYZQc^JLh H MeJ H WNtilde[o`WQcO^Y([SX^eJUYZbnhQRK H [PhY(YJLKNihN H JUfmS^

9J H jYFOe[ H J H MN HFH MQcY[PJUOeJLhNPfKXiacutehNSZOslashJWF[PhY` bLNPO centEgraveJNiKK-fcQRJU^ H [ordmZaringNPOm ^QEgraveJLhVJUO H NiKKfsQcbLN H QR[]OYcentm[]OfVmbMNPO[]QsO[ H MeJT^eJUYbnhQRK H [PhY^ H MNPYcentEgraveJLJUOOe[ H NicentfmNiKK-fcQRJU^ H [ordmZOslash[UBQsO[aelig[Pcent~5JUb H Y(^J H JUb H QR[]O QcOoUBQs^eJL[timesYZJjeJUObnJUY(NPbjQchZJU^ JUQ H MeJLhWQ H MN Y H N H QcbawS]JUMNPOWV4XFJUYZY[]O J H NPfd^Ve sSs fLbjiexcl[PhUacuteNregZOslash[Pcent-QcfRJTbLNSZOslashJLhdNawS]JUMNPOWVXFJUYZY[]O J H NPf)^Ve sSs fncentj^ JUYZbnhQRK H [PhdYoZ Nm NPfcY[centEgraveJ YJBjeJUO H QcNPfcfVm jYJU^ H [QZaringKhZ[UPJ H MeJu-ONPfBhZJUYZjf H NPYyQ H MNPYampcentEgraveJLJUOaeligKh[PK=[]YZJU^timesQsOtawSPJUMNPOWV4XFJUYZYZ[]OOslashJ H NPfd^VesSs fLNOgravej^^f^~OacuteETHEgraveKEacute18=KETH32EacuteltOacuterEacute0frac34Ntilde83ltOacuteONtildeshyIacute=gtNtildeshyEumltIcirc=39IgraveFIacute5Igrave O QZaringN[PJumlOtildegta2atildeltszligaumlj QcYNxXqjOb H QR[]O ^eJOJU^ Xiacute[Phpounda2atildeshyszligaumlFj OumlOcirccenteuWMeJLhZJOumloslashQcY H MeJ QZaringN[PJ ^e[]ZaringNPQcOO^ltMeJ QCZaringN[PJ ^e[]Z NPQcOQcYIacutebn[]OYZQc^eJLhJU^ H [ cent=JZaringNP^eJjeK`[SX H WF[KNih H Ylaquoa not Q[^fjaring H MJyXiacute[PhZJ[PhZ[]jO^`KNih H bn[]O H NPQsOQcO[ H MeJT[Pcent~JUb H Y H [

uumlnyacute|thornLyuml13

f s $amp)(+-)013021+345627893lt=gt9A6CBYJ[]ZaringJUO H e=Oe[ H JU^frac34OumlcopytimesOslashFe-NPO^ H MeJaumlcent-NPbY`[PhZ[]jO^aKNih H Oe[ H JU^Ouml UgraveUcircUacuteUuml ^MeJauml^QcYZbn[]OWVH QcOBjQ H m`YJ H QcYOtildeNbLjehlUPJ Oe[ H JU^bYacute H MN H ^JOeJUY H MeJ cent=[]jO^NihYmcentEgraveJ H WNtildeJLJUO H MeJH WNtilde[ ^[]ZaringNPQcOY^ J H MJUOaYJUNihbdMtXiacute[Ph H MeJ H WNtilde[^e[]ZaringNPQsOYyacuteOuml UgraveUcircUacuteUuml NPO^wOumlutimes OslashWMQcbdMtZaringQcOQZaringQVcurrenLJ H MeJbnhQ H JLhQR[]Oocircuml[]QVUPJUOcentmumla2jehZJZaringQcO^eJU^ MeJLhZJSaring

ocirc|adOuml UgraveUcircUacuteUuml szliglOumlcopytimesOslashgtszligYYacuteQjumlaacute uuml thorn UgraveUcircUacuteUuml yuml a2atildeltszligaumlgtszliglOuml UgraveUacuteUuml j atilde auml $ uuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOuml timesOslash j atilde aumlamp uacuteucirc thorn yuml uuml thorn otilde)yuml a2atildeshyszligaumlFj THORN5OaumlbnhQ H JLhdQR[]Oa2je H MeJ|hY HH WNtilde[ H JLhlZaringY9NihJyhZJ[]QR[]OWVcent-NPYJU^ordfWMQsfRJ H MeJ H MQRhd^ H JLhlZQcYcentEgrave[]jO^NihYmVcentNPYJU^O^MeJiexclXqjOb H QR[]OYyacuteuuml thorn UgraveUcircUacuteUuml yuml egtuuml thorn timesOslash yuml NPO^tuuml thorn otilde)yuml NihZJaumlhZJUYKEgraveJUb H QVUPJUfmH MeJ^eJUYZbnhdQRK H [PhY[SX H MeJFcentNPbl`[PhZ[]jO^timesKNih H ei[SX H MeJ[Pcent~JUb H Y H [OtildeYJ[]ZOslashJUO H NPO^Iacute[SXH MeJaumlbn[]O H []jeh^KMeJauml^eJUYbnhQRK H [PhYuZ Nm centEgraveJordf[]fR[PcentNPfcfm N HH NPbMJU^ H [ H MeJOtildeJUP[]fVUWQcO[hZJ[]Qc[]OY(NPO^Y[ ^eJLKEgraveJUO^ []Ofrac34Ouml timesOslash [Ph5OumluUgraveUcircUacuteUuml^

G QcObnJ H MeJaringYJ H [SXNtildeNPfsf$^e[]ZaringNPQcOYUacuteMNPYOtildeO[ H N Y H hjb H jehJtimes[SXUPJUb H [PhQcNPfyYZKNPbnJSeWFJIacutebLNPOeumlOe[ H bn[]ZOslashKj H J H MeJaelig^eJLhQVUiN H QVUPJT[SX H MJIacuteKhJUBQR[]jYbnhQ H JLhdQR[]OaNPbLbn[Ph^QcO[H [euml^e[]ZaringNPQcOY^ltMJLhZJX[PhJSe H [bn[]ZOslashKj H JNPO[PK H QZaringNPfFY[]fcj H Qc[]OOe9Neuml^mWONSZaringQcbLNPfYZbdMeJZOslashJOtildeQcYQcO H hZ[W^jbnJU^WMeJLhZJJUNPbM^[]ZaringNPQcO cent=JUbn[]ZaringJUY(bn[]O H QcOBje[]jYfVm ^eJLKEgraveJUOWV^eJUO H []ONPO JUP[]fcj H QR[]O KNihdNSZOslashJ H JLhagrave^59[ X[PhZaringNPfcQVcurrenLJ H MQcYQc^eJUNe WNtildeJxZaringNmYZjKKEgrave[]YJ H MN HTH MJ JUP[]fcj H Qc[]OKhZ[WbnJUYZYtimesQcY H [ H NPfsfVm^eJ H JLhlZaringQcOJU^centm H MJ JkeQcY5VH JUObnJiexcl[SXgNyXqNSZaringQcfmIacute[SXgNiKK-fcQcbLN H QR[]OY| H MN HNtildeH hNPOYXiacute[PhlZaringY H MeJiexclQsOQ H QcNPfe^e[]Z NPQcOYOumlcopytimesOslashgta s jNPO^tOuml UgraveUcircUacuteUuml a s jQsO H [ H MeJIacutebLjehZhZJUO H ^e[]ZaringNPQcOYyacuteOumlcopytimesOslashKaagravejNPO^frac34Ouml UgraveUcircUacuteUuml aagravejaring

OumlutimesUcirca s j ntilde OumlcopytimesaagravejYacutea s j ntilde Yacuteaagravej WiexclMeJLhZJVQaacuteiV[Ph Kf5 iumlMBjY H MeJOtildehJ[]QR[]OY(JUP[]fVUPJ H [WNih^YiexclNPO [PK H QZaringNPf9Y[]fcj H QR[]O^MeJ H hQRKfcJ H Ouml UgraveUcircUacuteUuml aagravejszliglOumlcopytimesOslashOaagravejszligYYacuteaagravejordmZIacutejY H NPb H NPYNregZaringQcOQZ QVcurrenUQcO[TYZJjeJUObnJgX[Phocirc|adOuml UgraveUcircUacuteUuml szliglOumlcopytimesOslashszligYYacutejWiexclMeJUOagrave JUP[]fVUPJUY^MeJ5XqjOb H QR[]ONPfOocircOcircadOuml UgraveUacuteUuml aagravejszliglOumlcopytimesOslashaagravejszligYYacuteaagravejjMNPY H [ bn[]OOgraveUPJLhY[PJ H [WNih^Y H MeJpoundZaringQcOQCZIacutejFZ UiNPfcjeJeuml[SXregocirc2NPYfrac34agraveacircntilde ograveegrave^ MeJbnhQ H JLhQR[]O H MeJUO centEgraveJUbn[]ZOslashJUYaring

ocirc|adOuml UgraveUcircUacuteUuml aagravejszliglOumlcopytimesOslashaagravejszligYYacuteaagravejjaacute thorn yuml uuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszliglOuml UgraveUcircUacuteUuml aagravejj atilde auml 5$ thorn yuml uuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashKaagravejj atilde aumlj uacuteucirc thorn yuml uuml thorn otilde)yuml a2atildeshyszligaumlFj THORN adh]jMJoXqjOb H Qc[]ONPf_ocircOcircadOumlyacuteUgraveUacuteUumllaagravejszliglOuml timesOslash aagravejszligYYacuteaagravejjaeligQcY H MeJLhZJUNX H JLh O[ H JU^egraveocirc|aagraveje0NPO^H MeJ ^eJUYZbnhQcK H [PhYuuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashKaagravejj NPO^icircuuml thorn UgraveUcircUacuteUuml yuml a2atildeltszligaumlgtszliglOuml UgraveUcircUacuteUuml aagravejjaringNihZJ`hZJUYKEgraveJUb|VH QVUPJUfmUacuteO[ H JU^laquouuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejgNPO^laquouuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszligYagravejeWMQcbdMTfRJUNP^Y H [ H MeJXiacute[]fcfR[WQcO[

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ fSfJkWKhZJUYZYQR[]OOaring

ocirc|aagravejumlaacute thorn yuml uuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszligYagravej atilde auml $ thorn yuml uumlgtthorn timesOslash yuml a2atildeltszligaumlgtszligYagravej atilde aumlj uacuteucirc thorn yuml uumlgtthorn otilde)yuml a2atildeshyszligaumlFj THORN af s j5OOtildebn[]O H hdNPY H WQ H MUacute[ H MeJLh9NPb H QVUPJFbn[]O H []jehdY9NiKKh[]NPbMeJUYe H MeJy^mWONSZaringQcbLNPfPYZbdMeJZOslashJQcYtimesMeJLhZJ^QRhJUb H fVmQcO H h[B^jbnJU^QcO H MeJbnhQ H JLhQc[]OO^ Q H MYZjbdMNeumlYZbdMeJZOslashJSe H MeJQcO H hZ[W^jb H QR[]OOacute[SXiexclNPO NPb H QVUPJbn[]O H []jehOslashJUP[]fVUWQcO[ WQ H Msup1agraveQcYaeligY H hNPQ[]M H Xiacute[PhYWNih^O^iexclJUObnJ WNtildeJbn[]OYZQc^eJLh H MN H Yacuteaagravej QsYoZaring[B^eJUfsfRJU^ NPY NPO NPb H QUPJOacutebn[]O H []jh H MN Hbn[]OUPJLhY[PJUY H [WNih^Y H MJgONPfEgraveJkWKEgraveJUb H JU^YJ[]ZOslashJUO H N H QR[]OO^9J H Yacutea s jtimescentEgraveJ H MeJQcOQ H QcNPfNtildebLjhYUPJa^eJOJU^centm H MeJjYJLh^ JahZJUbLNPfcf H MN H WFJYJUNihdbMtXiacute[Ph YacuteaagravejNPYNaringbLjehlUPJaumlJUP[]fVUWQcO[aringNPbLbn[Ph^QsO[ H [ H MeJgXiacute[]fcfR[WQcO[ordm5 aringaelig YacuteadTHORNOgraveszligYagravejaelig agrave aacuteegraveeuml WiexclQ H MigraveYacutea s j|aacuteegraveYacuteshyiacute afSfjWMJLhZJ_euml`QcY H MJ_UPJUfR[WbLQ H mUPJUb H [Ph([SX H MeJUacuteNPb H QVUPJOtildebn[]O H []jh^MeJ_Z NPQcO KhZ[PcentfRJZfcQcJUYFQsO-O^QcO[ H MeJiexclUPJUfR[WbLQ H meumlXhZ[]Z H MJUacutebnhdQ H JLhQR[]Opoundaf s jFQcO [Ph^JLh H [ordm[PJ HH MeJXqNPY H JUY H bLjhYUPJaumlJUP[]fcj H Qc[]O H [WNih^Y H MeJordfONPfYJ[]ZaringJUO H N H QR[]O^^ ^iexclEacuteltIacuteETHNtildeFETHEacuteshyOacute Eacute10wETH9Igrave8ltIgraveFEgravegt+NtildeFETH3gt+ltIgraveumlEacute10frac34ETH9Igrave=KEgrave13ETHIgraveFEgraveEacuteshyOacute5Oeuml[Ph^eJLh H [ [Pcent H NPQsO H MeJOslashJUP[]fcj H QR[]OeumlJBjN H QR[]Oe H MeJaringbnhQ H JLhQc[]OxocircOcircaagravej5ZtimesjY H centEgraveJ^QV=JLhZJUO H QcN H JU^WQ H MhZJUYKEgraveJUb H(H [agrave^MeJOtildeQcO H J[PhNPfcentEgrave[]jO^Y^eJLKEgraveJUO^ []Otagrave NPO^H MeJauml^JUYZbnhQRK H [PhdYyacuteuuml thorn UgraveUcircUacuteUuml yuml a)jNPO^wuuml thorn times Oslash yuml a)juZaringNm NPfcY[aring^JLK=JUO^[]Otagrave^9J H jY^eJOJ H MeJordfXiacutejOb H QR[]ONPfuumlOa2atildeltszligaumlgtszligYagravejYZjbM H MN H aring

uumlOa2atildeltszligaumlgtszligYagravej|aacute uuml thorn UgraveUacuteUuml yuml a2atildeltszligaumlgtszligYagravej QVXcopya2atildeltszligaumljwOuml UgraveUcircUacuteUuml aagravejuuml thorn times Oslash yuml a2atildeltszligaumlgtszligYagravej QVXcopya2atildeshyszligaumlFjtOumlcopytimesOslashKaagravej af jMJbXqjOb H QR[]ONPfuuml thorn UgraveUcircUacuteUuml yuml a)jNPO^Huuml thorn times Oslash yuml a)j`NihZJ^eJOJU^ []O H MeJxWMe[]fRJ7QZaringN[PJ^e[]Z NPQcOtOumliexcl^FMeJUOe H MeJaumlbnhQ H JLhQc[]OocircOcircaagravejuWhQ H JUY(NPYaring

ocirc|aagravejOcircaacute uacute uumlOa2atildeshyszligaumlKszligYagravej atilde aumlj uacuteucirc thorn yuml uumlgtthorn otilde)yuml a2atildeshyszligaumlFj THORNordfaacuteocirc aagravej ocirc cent aagravej af]jWMJLhZJgOuml QcY H MeJaumlQCZaringN[PJT^e[]ZaringNPQsOOeeNPO^Oaring

ocirc aagravej|aacute uacute uumlOa2atildeshyszligaumlKszligYagravej atilde aumlocirc cent aagravejOcircaacute uacuteucirc thorn yuml uuml thorn otilde)yuml a2atildeshyszligaumlFj THORN

uumlnyacutenthornnyumll13YSordmY_F

f $amp)(+-)013021+345627893lt=gt9A6CB5OOtilde[Ph^eJLh H [bn[]ZaringKj H J H MJ0^eJLhQVUiN H QVUPJy[SX H MJNtildebnhQ H JLhdQR[]Olaquoocirc aagraveje H MJNtilde^QcYbn[]O H QcOBjWVQ H QcJUY|ZtimesjY H JkWKfcQcbLQ H fVmIacutecentEgraveJ H N`PJUOQcO H [IacuteNPbLbn[]jO H ^ not [Ph(YZjbdM NIacuteKjehZKEgrave[]YJSeSWFJ5hY HhZJUbLNPfsf-N[PJUOeJLhNPf H MeJL[PhJZbn[]ObnJLhOQcO[ H MeJUacute^eJLhQVUiN H QVUPJ[SX9N H QZOslashJnV4^eJLKEgraveJUO^JUO HbnhQ H JLhQR[]OO^9J H jY(^eJ-OeJyOumlcopytimesaagravejNPYNOslashhZJ[]Qc[]OQcObLfcj^eJU^QcO H [regOumlordf^yacute5 q Ntilde_ f^1ltuumlStimesBiexcl centpoundcurrenyencurrenbrvbarsectumlordfcopynotlaquo3shyyenLregmacrcurrenRlaquodegcurrenbrvbarlaquo Oumlplusmna s szligsup2|iexcljsup3acute Rlaquomicromiddotparagtltocirc|aagravejOcircaacute w thorn yuml uumlStimesYa2atildeltszligaumlgtszligYagravej atilde auml~sup3cedilsectsup1ltlaquoordm ocirc agrave aacuteocirc7raquodaagravejOcircaacute thorn yuml aelig uumlStimesaelig agrave atilde auml uacutefrac14 thorn yuml uumlStimesYafrac34frac12 eacuteAgraveiquestsup1AacuteAtildeAcircYj THORNAuml sectsup1ltAringPfrac12AEligreg(centsectsup1Ccedilbrvbar_paracurrenyenshyltregLLEgraveacutecurrensup2uml aelig Oumlcopytimesaagravej RlaquomicroeacuteAgraveiquestsup1AacuteAtildeAcircEacuteregEcirccentsectsup1copysup1laquoregEumlreg(laquo Auml brvbarAringsup2microacutelaquocurrenRAringordfpound RparaIgravecurren aelig Oumlcopytimesaagravej_IacuteMJ^JLhQVUiN H QVUPJ[SXshyocircWQ H MaelighZJUYZK=JUb HampH [yagraveaeligQcY H MJyacute0jfRJLhdQcNPOIacute^JLhQVUiN H QVUPJ([SXocirc|adOumlcopytimesAjQcO H MeJOtilde^QRhJUb H QR[]O [SXEumlfrac12umleWMQcbdM bn[]ZaringKj H N H QR[]O QcY[]QVUPJUO QsO iexclKKEgraveJUO^Qkaring ^FMeJUiNihQcN H QR[]Oeuml[SX5ocirc QcYOtilde^jeJ H [ H MeJUiNihQcN H Qc[]O[SX H MeJordmXiacutejOb H QR[]ONPfOcircuuml]timesa2atildeltszligaumlgtszligYagravejaumlNPO^H [ H MeJgZOslash[ H Qc[]O[SX H MeJOtildeQcO H J[PhNPf^e[]ZaringNPQsOOumlutimesaagravej^ Y(Naeligbn[PhZ[]fcfcNihYm [SXltMJL[PhZJZfeFWFJordf[PJ H aringv q q shy9 5lt f^yenIcirccopyNcentampcentcopyIuml-Iumlsup1currenfcentyenYsectnot -sectsup1Ymicro-currenRpound Rreglaquofrac34Oumlgaagravejampreg(centpound -microETHcopyIumliexclcurrensup2uml Auml currenCIuml RAringordfcentsup3yOuml timesOslash aagravejNtilde RlaquomicropoundOumlyacuteUgraveUacuteUumllaagravejOgravecentyenfrac34Iumlsup1 brvbarAringsup2 brvbarmicro_Egraveh iexclpoundYcurrenbrvbarCcedildreglaquoNOacutehreglaquo5_Aringumllt -shytYacuteaagravejAuml sectETHregmacrshy_sectOcircCcedilRltparaOtildecurrendshyltregLLEgraveregEcirccentyacuteeumlEumlIacuteOumlsectsup1Uumlordfcopynotlaquo3shyyenLregmacrcurrenRlaquouumlOa2atildeltszligaumlgtszligYagravejreg(centcentordfcopyIuml-Iumlsup1currenfcentyenmicroOcircIgravecurrenOcirccentltfrac34Iuml RAringsup2 -_paraEgraveshycurrenRlaquo5LreglaquocopycurrenRcopynotcentcedilreglaquoyOumlcopytimesOslashKaagravejW Rlaquomicro Ouml UgraveUcircUacuteUuml aagravej_copy3pound REgraveampJmicrobrvbarregEcirccentltshycurrenRlaquo5LreglaquocopycurrenRcopynotcentJ -shyltAringPcurrenfcentcentYacuteaagravej_Iacutetimes Agravelaquocurrenbrvbaruuml thorn times Oslash yuml Rlaquomicroruuml thorn UgraveUcircUacuteUuml yuml sup3sectsup1Ccedilf brvbarparacopy5iexclcurrensup2umlwuumlreglaquoOslashAringordfcentIumlshydLreg(Ccedilbrvbar_paraEgraverOumlutimes OslashaagravejAgrave Rlaquo3microOuml UgraveUcircUacuteUuml aagravej_IacuteUgraveOumlsectNcopyNcentampsectmicroETH_Aringordfreg(CcedilR brvbarLregCcedilRcurrensup2umlordfocirc|aagravej Auml AringregLordfcent fcent_ordm

ocirc7raquo)aagravejOcircaacuteUacute thorn yuml aelig uumlaelig agrave atilde auml uacutefrac14 thorn yuml uumlOaLUcirc eacute iquestsup1Aacute j THORN uacuteucirc thorn yuml uumlNaeuml eacuteHj THORNAuml sectsup1ltAringPacute uumlNAringfrac34Iuml3AringP_centlt_laquocentYsectUumlordfcopysup1poundUgraveIumlcurrensup2umlguumlh -shyltAringPcurrenfcentcentordfYacuteaagravej_ordmW uumlNaacuteacircuuml thorn UgraveUacuteUuml yuml uuml thorn times Oslash yuml sup3eacute sectsup1ncopynotlaquo5reglaquo3currenRAringpound RparaIcirccurrensup2umlordfYacuteaagravejmicrobrvbarreg(AringshydmicroampumlAringPcurrenRpound Ouml UgraveUacuteUuml aagravejIgravecurrenOumlutimes OslashKaagravejsup3eacuteAgraveiquestsup1Aacutesectcopysup1laquoregLEumlreglaquo Auml RAringPmicroOcirclaquocurrenRAringordfpound Rpara1Igravecurren aelig Oumlgaagravejj RlaquomicroUcircYacutesectsup1jCcedilbrvbar_paracurrenyenshyltregLLEgravenCcedilbrvbarshydIgravecurrenRAringjcurrensup2uml_Oumlyaagravej_Iacute

plusmngLMOMraquo aring JbLNPO NiKKfVm MJL[PhZJZ f H [ H MeJ ^[]ZaringNPQcO Oumlutimes OslashaagravejaringNPO^ H [ H MeJ^e[]Z NPQcOtOuml UgraveUcircUacuteUuml aagravej^ ^^QcO[ H MeJ H WF[aringJjN H QR[]OYeFWFJOtilde[Pcent H NPQcO H MeJTbn[PhZ[]fcfsNihYmS^ H QcYIacuteOe[WY H hNPQ[]M H Xiacute[PhYWNih^ H [[PJ HtimesH MeJ ^eJLhdQVU~N H QUPJ [SX H MeJ bnhQ H JLhQR[]O ocirc aagravejaringWFJ H N`PJ5OumlyaagravejOcircaacuteAumlOuml H MeJiexclQZaringN[PJ^e[]Z NPQcOta not QV[^ j^MJUOOePcentmaeligJkWKfcQcbLQ H fVm H N`WQcO[

uumlnyacutenthornnyumll13YSordmY_FY

yenKbrvbarsect =4 acirc $ fH MeJtimes^QcYZbn[]O H QcOBjQ H QRJUY(QsO H [ NPbLbn[]jO HUacuteH MNPOF`BY H [ H MeJtimesbn[PhZ[]fcfcNihlmSe H MeJtimes^eJLhQVUiN H QVUPJ[SXocirc aagravejQcYcopy[]QVUPJUOacentmKaring

ocirc raquo aagravejumlaacute uacuteucirc thorn yuml uumlNaeuml eacutej THORN uacutefrac14 uumlOaLUcirc eacuteAgraveiquestsup1Aacutej THORN $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde auml thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afj

q centUWQR[]jYZfVmSe H MeJ7YJUbn[]O^ H JLhlZ [SX H MeJ7^eJLhQVUiN H QVUPJ afjaQcYcurrenLJLh[ YZQcObnJ H MeJJk H JLhONPf(centEgrave[]jO^NihYm aelig OumlD[SX H MeJ`QZaringN[PJaQcYkBJU^^OcircJLKfcNPbLQsO[` uumlN_WQ H MQ H YJkWKhZJUYZYQR[]OOeWNtildeJyO^Oaring

ocirc7raquo aagravejumlaacute uacuteucirc thorn yuml aduuml thorn UgraveUcircUacuteUuml yuml1 uuml thorn timesOslash yuml jaeuml eacuteHj THORN $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde auml thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afmacr]jMJUacute^JLhQVUiN H QVUPJOtilde[SXocirc cent aagravejQcY(bLfcNPYZYQcbLNPfdaring

ocirc7raquocent aagravejOcircaacute uacuteucirc thorn yuml a uuml thorn otilde)yumld huuml thorn otilde)yuml7 eacutejaeuml eacutej THORN af]jWMJLhZJ a2atildeshyszligaumlKszligYagravejQcY H MeJaumlbLjehlU~N H jehJ[SXQYacutea2atildeltszligaumlgtszligYagravej^MeJLhZJXiacute[PhZJSe H MeJOtilde^eJLhQVUiN H QVUPJ[SX H MeJgWM[]fRJOtildebnhQ H JLhQR[]O QsY H MeJordfXiacute[]fcfR[WiexclQcO[aring

ocirc raquo aagravejpoundaacute $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde aumlamp thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afzSj uacuteucirc thorn yuml aduuml thorn UgraveUcircUacuteUuml yuml uuml thorn timesOslash yuml uuml thorn otilde)yuml huuml thorn otilde)yuml eacutejaeuml eacutej THORN

^ ^~THORNUgrave2FEgraveOIgraveIcircIcirclt2EacuteltOacute Eacute0frac34ETH9Igrave8shyIgraveFEgraveEcirc+NtildeFETH3Ecirc+ltIgraveNtilde7==EacuteltEgrave7813Oacute14 ETHOEacute ETH9IgraveOacuteszligltOacuteshyEacuteOacuteAgrave+QIgraveFEumlEacuteAtilde=13ETH+ltIgrave5=KETHOEacuteshyEgravesup1euml5Oaelig[Ph^eJLh H [Tbn[]ZaringKj H J H MeJuUPJUfR[WbLQ H mUPJUb H [PhcopyeumleSWNtildeJMNUPJ H [yZ N`PJQ H NiKKEgraveJUNihyQcOH MeJhY HH WF[ ^e[]Z NPQcOaQcO H J[PhNPfcYiexcl[SX afzSjcentmJkWKhZJUYZYQcO[ H MeJZ NPY_XiacutejOb H QR[]OY[SX H MeJgUPJUfR[WbLQ H meumlQ^iexclJLhZJiexclWFJ H N`PJ H MeJ5[PJUOeJLhNPfbLNPYZJ5WiexclMeJLhZJ H MeJ^JUYZbnhQRK H [PhdYZaringNm ^eJLKEgraveJUO^ []OXiacuteJUN H jehZJUY5[]fR[PcentNPfsfVmN HH NPbMeJU^ H [ H MJtimeshJ[]QR[]OeumlNPO^eumlY[oZ Nm`^JLK=JUO^a[]O agrave^ JZOslash[W^eJUf$JUNPbdM^eJUYZbnhQRK H [PhIacuteNPYtimesNabn[]ZIacutecentQcON H QR[]OOacute[SXuXJUN H jhZJUYy[]fc[PcentNPfcfVmeumlN HH NPbMeJU^

uumlnyacutenthornnyumll13YSordmY_F

f $amp)(+-)013021+345627893lt=gt9A6CBH [ H MJOtildeJUP[]fVUBQsO[OslashhZJ[]QR[]OY_OumlcopytimesOslashKaagravejF[Ph_Ouml UgraveUacuteUuml aagravejaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejpoundaacuteAElig thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn timesOslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejszligiumlViumlViumlVszligagrave thorn timesOslash yumlaacute aagravejjuuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszligYagravejpoundaacuteAElig thorn UgraveUcircUacuteUuml yuml a2atildeltszligaumlgtszligagrave thorn UgraveUcircUacuteUuml yuml aagravejszligagrave thorn UgraveUcircUacuteUuml yumlcent aagravejszligiumlViumlViumlVszligagrave thorn UgraveUcircUacuteUuml yumlacirc aagravejjafi]j

WMJLhZJSaring agrave thorn(atilde yumlauml aacute 7aring thorn yuml5aelig thorn(atilde yumlauml a2atildeltszligaumlgtszligYagravej atilde auml WQ H Mpounda jOcircaacuteacircaVltjF[Pha Kf5 jiuml afh]j9J H jYuhY H bn[]ZOslashKj H J H MeJIacute^eJLhQVUiN H QVUPJOtilde[SXuuml thorn timesOslash yuml eFWFJgO^Oaring

aelig uuml thorn times Oslash yumlaelig agrave aacute aacuteccedilaumlegrave aelig thorn timesOslash yumlaelig agrave thorn times Oslash yumlauml a2atildeltszligaumlgtszligagrave thorn timesOslash yuml aagravejszligiumlViumlViumlVszligagrave thorn timesOslash yumlaacute aagravejj aelig agrave thorn timesOslash yumlaumlaelig agrave aagravej a s j J MNUPJOe[W H [bn[]ZOslashKj H J H MeJ ^eJLhdQVU~N H QUPJ [SXagrave thorn timesOslash yumlauml NPbLbn[Ph^QcO[ H [umlagrave^ JNiKK-fVm H MeJgMeJL[PhZJZigravefaumlNPO^WNtildeJy[PJ H aring

aelig agrave thorn timesOslash yumlaumlaelig agrave aacute $ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde auml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacutej THORN a fj

JLKfcNPbLQcO[ H MeJNtilde^eJLhdQVU~N H QUPJUY9[SX3agrave thorn timesOslash yumlauml WQ H M H MeJUQRhJkWKhZJUYZYZQc[]OYa fj9QcOa s jeSWFJ[Pcent H NPQsO H MJXiacute[]fcfR[WQcO[iexclJkBKhJUYZYZQR[]OX[Ph H MJF^e[]Z NPQcOaeligQcO H J[PhdNPf[SX H MeJ^eJLhQVUiN H QVUPJ[SX H MeJT^eJUYbnhQRK H [Ph uuml thorn times Oslash yuml aring

$ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde aumlacircaacute aacuteccedilaumlordfegrave -eacute thorn timesOslash yumlauml $ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde auml

aacuteccedilaumlordfegrave eacute thorn timesOslash yumlauml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacuteHj THORN a S jWMJLhZJSaring

eacute thorn timesOslash yumlauml aacute $ thorn yuml aelig thorn timesOslash yumlaelig agrave thorn timesOslash yumlauml a2atildeltszligaumlgtszligagrave thorn timesOslash yuml aagravejszligiumlViumlViumlVszligagrave thorn times Oslash yumlaacute aagravejj atilde auml a ]jMJIacuteJkWKhZJUYZYQR[]OwXiacute[Pha jyacuteaacute a Kf jiexclQcYbn[]ZOslashKj H JU^QsO H MeJaeligYZNSZOslashJordmZaringNPOOeJLhiexclWMQcfRJKNmBQsO[N HH JUO H Qc[]O H [ H MeJ`^QRhZJUb H QR[]O[SX H MeJ`Oe[PhlZaringNPfcopyUPJUb H [PheNPO^rWFJ H MBjY

uumlnyacutenthornnyumll13YSordmY_Fsup2

yenKbrvbarsect =4 acirc $ fmacr[Pcent H NPQsO H MeJg[PJUOeJLhNPfgJkBKhJUYZYZQR[]OXiacute[Ph H MeJauml^JLhQVUiN H QVUPJOtilde[SXocircOcircaagravejaring

ocirc raquo aagravejumlaacute uacuteucirc thorn yuml aduumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn times Oslash yuml uumlgtthorn otilde)yuml d hreguumlgtthorn otilde)yuml eacuteHjaeuml eacutej THORN aacuteccedilaumlordfegrave eacute thorn timesOslash yumlauml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacuteHj THORN acircccedilaumlordfegrave eacute thorn UgraveUcircUacuteUuml yumlauml uacuteucirc thorn yuml aelig thorn UgraveUcircUacuteUuml yumlauml aeuml eacutej THORN aacuteccedilaumlordfegrave -eacute thorn timesOslash yumlauml $ thorn yuml aelig aelig thorn

timesOslash yumlaumlaelig agrave atilde auml acircccedilaumlordfegrave eacute thorn UgraveUcircUacuteUuml yumlauml thorn yuml aelig aelig thorn

UgraveUcircUacuteUuml yumlaumlaelig agrave atilde auml a j^ ^ecirccopyEgraveEacuteshyIacuteIumlETH39shyIgrave8shyIgraveFEgraveEcirc+NtildeFETH3gt+QIgraveETHOEacute3iexclNtildeshyEgrave78QIcircETH9IgraveumlIgrave+EacuteltEumlETHshyETHEacuteshyOacuterIgrave5euml1ONtildeFETH32EacuteltOacuteEacute10wETH9Igrave Ntilde=KETH3gt+ltIgrave=EacuteshyOacuteshyETHEacute1EgraveMJ[P[]NPf[SX H MQsYampKNih H QcY H [aumlbn[]ZOslashK-j H J H MeJ(JkWKhZJUYZYZQc[]Oaelig[SX H MeJuUPJUfc[BbLQ H mUPJUb H [PheumlwWMQcbdMregZaringN`PJUY H MeJUacutebLjehYUPJJUP[]fVUPJOtildeNPYXiacuteNPY H NPYFKEgrave[]YZYZQRcent-fRJ H [WNih^Y(NZaringQcOQCZIacutejFZ[SX H MeJaeligbnhQ H JLhdQR[]Oumlocirc^KO`[Ph^eJLh H [ ^JU^jbnJ H MJyUPJUfR[WbLQ H mwUPJUb H [PhOtilde[SX H MeJaeligNPb H QVUPJbn[]O H []jehQXhZ[]Z H MeJF^eJLhQVUiN H QVUPJ0[SX H MeJNtildebnhQ H JLhQR[]OOeWFJMNUPJ H [5Z N`PJFNiKKEgraveJUNih H MeJUPJUfR[WbLQ H moUPJUb H [PhUacuteQcO H MJTfcNPY HH WNtilde[ ^e[]ZaringNPQcOaQcO H J[PhdNPfcY(centm JkWKhZJUYYZQcO[ H MeJZ NPYcentEgrave[]jO^NihYm QcO H J[PhNPfcY^FMQcYbLNPOaJUNPYZQcfVm centEgraveJauml^e[]OeJTjYZQcO[MJL[PhZJZigravefe-^[]ZaringNPQcOQcO H J[PhNPfcYbLNPOeumlNPfVWNmWYiexclcentEgraveJIacuteJkBKhJUYZYJU^ NPYcentEgrave[]jO^NihYm QcO H J[PhdNPfcY^gtiexcl[WFJUPJLheOXiacute[PhYZQCZOslashKfcQcbLQ H mSe-fcJ H jYbn[]OYZQc^eJLh H MeJaringbLNPYJUYgWMeJLhZJ H MeJUYJOslashfcNPY HH WNtilde[`QcO H J[PhdNPfcYOtildeNihZJJBjNPf H [currenLJLhZ[eOgraveWMQcbMaringMNiKKEgraveJUOYX[PhZOslash[]Y H hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhdQRK H [PhY^S5OH MN H bLNPYJSeNPbLbn[Ph^QsO[ H [ H MeJaeligQcOeJBjNPfcQ H m[SXvNPjbdMOgravemV G bdMOgraveWNih H currenSe H MeJXiacuteNPY H JUY H^eJUbnhJUNPYJa[SXocirc|aagravejOslashQcY [Pcent H NPQcOeJU^ XhZ[]Zecirca jOslashcentm bMe[B[]YZQcOF[beuml aacute ccedilyeacute WMQsbMfRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[aeligJUP[]fcj H Qc[]O JjN H QR[]OOaringaelig Yacuteaagravejaelig agrave aacuteFuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yuml uuml thorn otilde)yuml eacute aacuteccedilaumlordfegrave ETHeacute thorn timesOslash yumlauml aelig thorn timesOslash yumlauml acircccedilaumlordfegrave ETHeacute thorn UgraveUcircUacuteUuml yumlauml aelig thorn UgraveUcircUacuteUuml yumlauml lteacute a macr]jUcircX H MJ^eJUYZbnhQRK H [PhY$^e[TOe[ H ^eJLKEgraveJUO^times[]OregagravetaiacutehZJ[]QR[]OeV4QcO^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhYjeH MeJgiexcl hZJU^jbnJUY H [ H MeJordfXiacute[]fcfR[WQcO[aeligJkWKhZJUYZYQR[]OOaringaelig Yacuteaagravejaelig agrave aacuteigraveuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yumldn reguuml thorn otilde)yuml7 eacutelteacute a ]j

uumlnyacutenthornnyumll13YSordmY_FY

f $amp)(+-)013021+345627893lt=gt9A6CB JaeligbLNPO`O[ H QcbnJ H MN HH MeJtimes^eJLKEgraveJUO^eJUObnJauml[SX H MJIacute^eJUYZbnhdQRK H [PhY[]OwagraveeEgraveNPO^aY[ []OH MeJiexclbLjehYUPJJUP[]fcj H QR[]OOeQcO^jbnJUY0NP^^Q H QR[]ONPf H JLhlZaringYFQcO H MeJiexclJUP[]fcj H QR[]O JjN H QR[]O[SX H MJFNPb H QVUPJ(bn[]O H []jeh^SMeJNP^^Q H QR[]ONPf H JLhZaringYQX[]jO^IacuteQcOoa macr]jbLNPOOe[ H hZJUNP^QsfVmcentEgraveJtimes[Pcent H NPQcOeJU^ WMJUO H MeJOslash^mBONSZaringQcbLNPfampYZbMJZOslashJaringQcYOtildeQcO H hZ[W^jbnJU^eumlNX H JLh H MeJOslashbn[]ZaeligVKj H N H QR[]Oa[SX H MeJaelig^eJLhQVUiN H QVUPJaeligjYZQcO[o0jfcJLhVA9N[PhNPOF[PJIacuteJBjN H QR[]OY^MjYe-Q H QcY[SX=KhQZaringJOeJUbnJUYZYZQ H m H [TQcO H hZ[B^jbnJ H MeJ^mWONSZaringQsbLNPfeYZbMeJZaringJiexclQcO H [ H MeJbnhQ H JLhQR[]OQ H YZJUfVXiexclQcO[Phd^eJLh H [JUNPYZQsfVmsup1[PJ H H MeJUYJaNP^^Q H QR[]ONPf H JLhlZ Y QcO bLNPYJa[SXhJ[]QR[]OWV^eJLKEgraveJUO^JUO H ^JUYZbnhQRK H [PhdY^MNPO`BY H [ H MeJUYJeumlNP^^Q H QR[]ONPf H JLhlZaringYeWFJ`JUOYZjehZJH MeJordfXqNPY H JUY H JUP[]fcj H QR[]O [SX H MeJIacutebLjehYUPJ H [WNih^YiexclNZaringQcOQZIacutejZ [SX H MeJTbnhdQ H JLhQR[]OO^ JeumlbLNPO NPfcY[hZJZaringNihY` H MN H H MeJUPJUfR[BbLQ H m[SX H MeJ bn[]O H []jhQsOa macr]j bLNPOcentEgraveJ K=[]YQ H QVUPJ[PharingOeJ[]N H QVUPJS^|MQcYaeligNPO QcO H JLhZJUY H QcO[eumlKh[PK=JLh H mOacute[SXiexclhZJ[]QR[]OWVcent-NPYJU^NPb H QVUPJ bn[]O H []jehY^ q O H MeJ bn[]O H hNihYm H [ centEgrave[]jO^NihYmVcentNPYJU^7NPb H QVUPJ bn[]O H []jehdYehZJ[]Qc[]OWVcentNPYJU^7NPb H QVUPJbn[]O H []jehYOslashNPfcfR[WYZ[]ZOslashJKNih H Ytimes[SX H MeJ bLjehYUPJ H [YZMehQsO`WMQcfRJ[ H MeJLhY(JkWKNPO^O^FMjY H MeJaumlQcOQ H QsNPfcQVcurrenUN H QR[]O QcYfRJUYYbn[]OY H hNPQsOeJU^O^^ macr^iexclEacuteltIacuteETHNtildeFETHEacuteshyOacute Eacute10wETH9IgraveumlIgravesup1+shyEacuteltEumlETHETH3EacuteshyOacuterIgrave5euml1ONtildeFETH32EacuteltOacute0EacuteltEgravexIcircEacuteshyIacute5IgraveIgrave2shyNtildeshyIacuteEumlOgraveIgraveIcirclaquoEacute10C8ltIgraveIcircd=KEgrave(ETHEacuteltEgraveIcircMJu[P[]NPf[SX H MQsY$KNih H QsY H [timesbn[]ZaringKj H J H MeJiexclJUP[]fcj H QR[]O JjN H QR[]Oaring[SX H MeJNPb H QVUPJbn[]O H []jehOcircXiacute[Ph0Y[]ZOslashJ(JkeNSZOslashKfcJUY$[SX-hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhY^SgJ H jY H N`PJY[]ZaringJT^eJUYZbnhQcK H [PhY(^eJLKEgraveJUO^QsO[aelig[]O H MeJyZOslashJUNPOBSOtimesOslash [Phiexcl[]O H MeJgUiNihQcNPObnJjuFtimesOslash [SXH MeJOtildeJUP[]fUBQcOF[OslashhZJ[]QR[]OwOumlcopytimesOslashaagravejaringEFFG FFH SOtimesOslashKaagravejumlaacute iacute $ w$ thorn yuml Otilde atilde auml WiexclQ H M icirctimesOslashaacute w$ thorn yuml atilde aumlu centtimes Oslash aagravejsup1aacute iacute $ w$ thorn yuml aOtilde SOtimes OslashKaagravejj cent atilde auml^ macr^f^iumlordfcentltshyltAringordfregethIumlIgravecurrenRAringcentmicroETHfrac34IumlltlaquomicroRreglaquoNOacute]currenRlaquosectsup1jCcedilR RAringordfregL Rlaquo3shy JTbdMe[B[]YJ H MeJgXiacute[]fcfR[WQcO[OslashYJ H [SX^eJUYbnhQRK H [PhYaring

uuml thorn UgraveUcircUacuteUuml yuml ^e[BJUYOe[ H ^eJLKEgraveJUO^[]Owagraveuuml thorn timesOslash yuml aacutecntildeaLuOcenttimes Oslash j a zSjWMJLhZJampntildeaOgravejQsYNOslashKEgrave[]YZQ H QVUPJiexclXqjOb H QR[]O[SX$bLfcNPYYograve aj^MQcYiexclUPJUfR[WbLQ H mumlUPJUb H [PhOslashQcYaumlbn[]ZaringKj H JU^centmeumlhZJLKfcNPbLQsO[ H MeJ H JLhZaringYauml[SXga jgWQ H MH MeJUQch$JkBKhJUYZYZQR[]OY^ J hY H JkWKhZJUYZY H MeJ^eJUYZbnhQcK H [Ph|uuml thorn timesOslash yuml NPYyNTbn[]ZTcentQsON H QR[]O[SXamp^e[]ZaringNPQcOY(QcO H J[PhdNPfcYaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacutemiddot thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn timesOslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejjaacutecntildeoacute agrave thorn timesOslash yuml aagravejagrave thorn timesOslash yumlcent aagravejfocirc a i]j

uumlnyacutenthornnyumll13YSordmY_FPa

yenKbrvbarsect =4 acirc $ fzWMJLhZJSaring EFFG FFH agrave thorn timesOslash yuml aagravejpoundaacute w$ thorn yuml aOtildegta2atildeltszligaumlj SOtimes OslashaagravejjUcirccent atilde aumlagrave thorn timesOslash yumlcent aagravejpoundaacute w$ thorn yuml atilde auml a h]j O^ H MBjYaring aelig thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacuteacircaOtildeKa2atildeshyszligaumlFj S timesOslash aagravejjUcirccentaelig thorn timesOslash yumlcent a2atildeshyszligaumlKszligYagravej|aacute f ad s j Y5XiacuteNihaumlNPY H MeJOslash^e[]Z NPQcO`QsO H J[PhNPfsYUacute[SX H MeJOslash^eJLhQVUiN H QVUPJaelig[SX H MJXqjOb H QR[]OY aelig thorn timesOslash yumlaumlNihZJaumlbn[]ObnJLhOeJU^OeFWFJauml[Pcent H NPQsOOaringEFFFG FFFH w5$ thorn yuml frac14ltotildeouml $_divideoslashfrac14 atilde aumlordmaacute frac14ltugrave $frac14 w$ thorn yuml aOtildeKa2atildeshyszligaumlFj SOtimesOslashKaagravejj atilde aumlaacute sw5$ thorn yuml frac14ltotilde ouml $_divideacircfrac14 atilde aumlordmaacute s adfjMJ H JLhZaringY eacute thorn timesOslash yumlauml NPfcY[aringMNUPJ H [ cent=Jaumlbn[]ZaringKj H JU^OeNPO^tWNtildeJg[PJ H aringEFFFG FFFH eacute thorn

timesOslash yuml aacute w$ thorn yuml uacute ouml $_divideacircntilde raquo7ucirc uacute ouml $_divideoslashuacute ouml $_divideacircyacuteuuml atilde aumlaacutecntilde raquo aLu centtimesOslash jeacute thorn timesOslash yumlcent aacute w$ thorn yumlBthorn uacute ouml $_divideoslashthorn uacute ouml $_divideacirc yuml acirc ntilde raquo ucirc uacute ouml $_divideoslashuacute ouml $_divideacirc uuml atilde aumlregaacute u centtimes Oslash ntilde raquo aLu centtimes Oslash j

G QsObnJ H MeJOslash^e[]Z NPQcO`QsO H J[PhNPfsYiexcl[SX frac14ltotildeouml $ordfdivideoslashfrac14 NPO^ frac14ltotildeouml $_divideacircfrac14 NihZJaeligJBjNPf H [currenLJLhZ[poundadfjeWFJOtildebLNPO ^QRhZJUb H fVm bn[]ZOslashKj H J H MeJiexclUPJUfR[WbLQ H mregUPJUb H [Ph[SX H MeJOtildeNPb H QVUPJTbn[]O H []jehuXiacutehZ[]Za macr]jNPO^WNtildeJyO^Oaringaelig Yacuteaagravejaelig agrave aacuteuumlgtthorn timesOslash yuml uumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn otilde)yuml dacute uumlgtthorn otilde)yuml eacutentilde raquo aLu centtimes Oslash jaaOtilde SOtimesOslashj cent u centtimesOslash jcedilQeacute ad j5Otad jeOgraveWFJbLNPOaringhJZaringNihY` H MeJ(KhZJUYJUObnJ[SX H MJNP^^Q H QR[]ONPf H JLhlZntilde raquo aLuOcenttimesOslash jaaOtilde SOtimesOslashj cent u centtimesOslash jeacuteacirc^^ macr^ ^iumlordfcentltshyltAringordfregethIumlIgravecurrenRAringcentmicroETHfrac34IumlltlaquomicroRreglaquoNOacute]currenRlaquosectsup1jpoundn Rlaquo JTbdMe[B[]YJ H MeJgXiacute[]fcfR[WQcO[OslashYJ H [SX^eJUYbnhQRK H [PhYaring uuml thorn UgraveUcircUacuteUuml yuml ^e[BJUYOe[ H ^eJLKEgraveJUO^[]Owagraveuuml thorn timesOslash yuml aacutecntildeaOtilde S timesOslash aagravejj adS]j

uumlnyacutenthornnyumll13YSordmY_FPo

fi $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJampntildeaOgravejQsYNOslashKEgrave[]YZQ H QVUPJiexclXqjOb H QR[]O[SX$bLfcNPYYograve aj^ YKhZJUWQR[]jYZfVmSe H MeJlaquoUPJUfR[WbLQ H mfrac34UPJUb H [PhTQcYbn[]ZOslashKj H JU^eumlcentmhZJLKfsNPbLQcO[ H MJ H JLhZaringY[SXua jcopyWQ H M H MeJUQRh(JkWKhZJUYZYZQc[]OY^FMeJauml^JUYZbnhQRK H [Ph uuml thorn timesOslash yuml QcY(JkWKhZJUYZYJU^centmKaringuuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacutei thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn times Oslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejjaacutentildeoacuteOtilde agrave thorn timesOslash yuml aagravejagrave thorn timesOslash yumlcent aagravejfocirc adj

WMJLhZJSaring EFFG FFH agrave thorn timesOslash yuml aagravejpoundaacute w5$ thorn yuml Otildegta2atildeltszligaumlj atilde aumlagrave thorn timesOslash yumlcent aagravejpoundaacute w5$ thorn yuml atilde auml adSmacr]j O^ Y[aring aelig thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejOcircaacuteegraveOtildegta2atildeltszligaumljaelig thorn timesOslash yumlcent a2atildeshyszligaumlKszligYagravejOcircaacute f adS]jG QsObnJ H MeJordfXiacutejOb H QR[]OY aelig thorn timesOslash yuml NPO^ aelig thorn timesOslash yumlcent ^e[aringO[ H ^eJLKEgraveJUO^[]OtagraveeFWFJTMNUPJSaringEFFFG FFFH w$ thorn yuml frac14ltotilde5ouml $ordfdivideoslashfrac14 atilde aumlregaacute s

w$ thorn yuml frac14ltotilde5ouml $ordfdivideacircfrac14 atilde aumlregaacute s ad]zSjMJ H JLhZaringY eacute thorn timesOslash yumlauml NihZJ H MJUObn[]ZOslashKj H JU^eNPO^WFJauml[Pcent H NPQcOOaringEFFFG FFFH eacute thorn

timesOslash yuml aacute w$ thorn yuml thorn uacute ouml $ordfdivideacircntilde raquo7ucirc Otilde uacute ouml $ordfdivideoslashuacute ouml $ordfdivideacircyacuteuuml atilde aumlaacute thorn iacute $ w$ thorn yuml ntilde raquo aOtilde SOtimesOslashj atilde aumleacute thorn timesOslash yumlcent aacute w$ thorn yuml uacute ouml $ordfdivideoslashthorn uacute ouml $_divideacirc yuml acirc ntilde raquo ucirc Otilde uacute ouml $ordfdivideoslashuacute ouml $ordfdivideacirc uuml atilde aumlordmaacute ugrave $iacute $ w$ thorn yuml ntilde raquo aOtilde SOtimesOslashj atilde auml JUacutebLNPO H MeJUObn[]ZOslashKj H JUacute^QRhZJUb H fm H MJ_UPJUfR[WbLQ H mUPJUb H [Ph[SX H MeJUacuteNPb H QVUPJOtildebn[]O H []jhXiacutehZ[]Zigravea macr]j(NPO^WNtildeJyO^Oaringaelig Yacuteaagravejaelig agrave aacuteuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yumldacute uuml thorn otilde)yuml eacute aOtilde SOtimesOslashjicircFtimesOslash $ thorn yuml ntilderaquo)aOtilde SOtimesOslashjmiddotQeacute adSi]j

5O H MeJtimesKNih H QsbLjfcNihiexclbLNPYZJIacute[SXIcircntildeaOgravejuaacuteOslashScenteKWFJtimesMNUPJnntilde raquo aOgravejcopyaacute NPO^ H MeJLhZJXiacute[PhZJSeH MeJiexclNP^^Q H QR[]ONPf H JLhlZaringYebn[]ZaringQcO[gXiacutehZ[]Z H MeJ UiNihQcN H QR[]O [SX H MeJiexcl^eJUYbnhQRK H [PhYOcircWQ H MagraveeNihJJjNPf H [gcurrenLJLhZ[^[WNtildeJUPJLheWQsOordmZOslash[]Y H bLNPYZJUYe H MQsYyNP^^Q H Qc[]ONPf H JLhlZoslashQsYyOe[ H

uumlnyacutenthornnyumll13YSordmY_FPy

yenKbrvbarsect =4 acirc $ fhcurrenLJLhZ[^ not [PhaeligJkeNSZOslashKfRJSeampQVXUgraventildea]jaacute yuml Wiexcl cent eshyWiexclQ H MN`KEgrave[]YZQ H QVUPJ bn[]OY H NPO H eQWFJMNUPJSaring

ccedil aacuteFuumlgtthorn timesOslash yuml uumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn otilde)yuml uumlgtthorn otilde)yuml eacute aOtilde SOtimesOslashjicircFtimesOslash $ thorn yuml aOtilde SOtimesOslashj IcircAumlaOtilde SOtimesOslashj cent adSh]j^ ^~IacuteFEumlIgraveFIacute5IgraveFOacuteETHNtildeFETHEacuteshyOacuteAgraven13ETH9 ETH9IgraveumlEumlIgravesup1+ltIgraveFEumltIcircIgraveFETHbIacute5IgraveFETH9shyEacute18 YXqNih0NPY H MeJOBjFZOslashJLhdQcbLNPfeQZOslashKfcJZOslashJUO H N H Qc[]OtimesQsYybn[]ObnJLhOeJU^eSWNtildeJbLNPOZOslash[W^eJUf H MeJNPb H QVUPJaumlbn[]O H []jeh_WQ H MNPOJkBK-fcQcbLQ H KNihNSZOslashJ H JLhdQVcurrenUN H QR[]ObaN[PhNPO[]QcNPOXiacute[PhlZtimesjfcN~VH QR[]OKjaelig[Ph NPO QCZOslashKfcQcbLQ H []OeJraNtildejfRJLhQsNPO Xiacute[PhlZIacutejfcN H QR[]Ogtj^ G JLJra G J H MQcNPOOe5fhSh s jNPO^egraveaJUfcQcO[PJ HH J NPO^ _a[]O H N[]ON H e sSs fjX[PhaeligNPOQcO H JLhZJUY H QcO[eumlbn[]ZOslashKNihdQcY[]OcentEgraveJ H WFJLJUO H MeJ H WNtilde[ZOslashJ H M[B^Y^ iexclO[ H MeJLhOtildeQcO H JLhJUY H QcO[aringhJUBQRJW[]O H MeJtimes^Q=JLhJUO HZOslashJ H M[B^Y[SX$NPb H QVUPJIacutebn[]O H []jehQcY(Kh[PK=[]YZJU^ QcOpoundaw_[]O H N[]ON H J H NPfd^Ve sSs fj^iexclJLhZJSeWFJaumljYJ H MeJaumlfRJUPJUfYZJ H ZOslashJ H Me[W^ NiKKhZ[]NPbdM KhZ[PKEgrave[]YJU^centm q YMeJLhNPO^G J H MQcNPOa q YZMJLh NPO^ G J H MQcNPOe fhSiSi]j centj H hJ[]QR[]OWVcentNPYJU^ NPb H QVUPJeumlbn[]O H []jehdYZaringNmNPfcYZ[ centEgraveJQZOslashKfcJZOslashJUO H JU^7centmjYQcO[`XNtildeV4YK-fcQcOeJUYXiacute[PhaeligNPOJkWKfcQsbLQ H K-NihNSZOslashJnVH JLhQcurrenUN H QR[]O ayhZJUbLQc[]Y[ NPO^XNihfcNPj^Oe sSs fj^shyMJ`PJmeumlQc^eJUN [SX H MeJOslashfRJUPJUfampYJ HZOslashJ H M[B^QsY H [ QcO H hZ[W^jbnJaumlNPO`NPjkWQsfcQcNihYmXiacutejOb H QR[]O l a2atildeltszligaumlgtszligYagravejYZjbdM H MN H YacuteaagravejQcY H MJtcurrenLJLhZ[OacutefRJUPJUfYJ H [SX l ^OcircMJXiacutejOb H QR[]O l QsYaelig[SX H JUO bMe[]YJUO H [centEgraveJ H MeJYZQ[]OeJU^ ^QcY H NPObnJordfXiacutejOb H QR[]O[SXQYacuteaagraveje-NPO^ QsY H MeJUObdMNihNPb H JLhQVcurrenLJU^acentmKaring

YacuteaagravejOcircaacute a2atildeltszligaumljPO l a2atildeshyszligaumlKszligYagravejaacute s a2 s jMQcYOcirc0jfRJLhQcNPOordmXiacute[PhlZtimesjfcN H QR[]O KhZJUYZJUO H YFYJUPJLhNPfEgraveNP^UiNPO H N[PJUYga G J H MQcNPOOeKfhShS]j^not QRhY H fVmSe H MeJabLjehYUPJ l ZaringNmcenthJUN`[PhoZOslashJLhY[PJNPY H MJXiacutejOb H QR[]O l JUP[]fUPJUYeNPO^ H [PK=[]fc[S[]QcbLNPfbdMNPO[PJUYFNihZJ H MBjY$JUNPYZQsfVmOslashMNPO^fRJU^^ G JUbn[]O^fVmSe H MJJUP[]fVUWQcO[XqjOb H QR[]O l a2atildeshyszligaumlKszligYagravejNPfVWNmWY(hZJZaringNPQcOY(NlaquoXiacutejOb H QR[]O NPfcfR[WQcO[timesJltz bLQRJUO H OBjFZOslashJLhVQcbLNPfFYZbdMeJZOslashJUY^OcircMQRh^fVmSe H MeJ[PJL[]ZOslashJ H hQcb KhZ[PKEgraveJLh H QcJUYT[SX H MeJ bLjehYUPJSe$fcQV`PJ H MeJbLjehlU~N H jehJ NPO^ H MeJOslashOe[PhlZ NPfshyUPJUb H [PhordfJUfs^eacute e=bLNPO centEgraveJIacuteJUY H QZaringN H JU^euml^QRhZJUb H fmXiacutehZ[]Z H MeJTfcJUPJUfgYJ H XqjOb H QR[]Oaring aacute V ucirc l l uuml NPO^ eacuteecircaacute l l a2FfjMJJUP[]fsj H QR[]O JBjN H QR[]O H MeJUO centEgraveJUbn[]ZOslashJUYaringaelig l aagravejaelig agrave aacuteegraveccedilacute l a2 jMJregUPJUfR[WbLQ H msup1XiacutejOb H QR[]OxccedilEQcYIacutebn[]ZaringKj H JU^7[]OfVm[]O H MeJbLjehYUPJYacuteaagravejaumlcent-j H WFJbLNPO Jk H JUO^ Q H YFJkBKhZJUYZYZQR[]O H [ H MeJiexclWMe[]fRJUacuteQZaringN[PJOtilde^e[]Z NPQcOoOumlordf^[OslashQZOslashKfRJZaringJUO HH MeJIacutefRJUPJUf9YJ H ZOslashJ H Me[W^OeY[]fsj H QR[]OYuZtimesjY H centEgraveJgXiacute[]jO^ H [ bLQRhbLjZyUPJUO H Kh[PcentfRJZaringY

uumlnyacutenthornnyumll13YSordmY_FP

s $amp)(+-)013021+345627893lt=gt9A6CBbn[]ZaringQsO[ Xh[]Z H MeJpoundXqNPb HH MN H`H MeJYZQV[]OeJU^ ^QcY H NPObnJumlXqjOb H Qc[]O l QcYaOe[ H NY[]fsj H QR[]O[SX H MeJyiexcl a2 jeEgraveYJLJa []ZOslashJUYNPO^ not NPjF[PJLhNPYe sSsSs jyacuteXiacute[Phiexcl^J H NPQcfcY^5Oaelig[]jehWF[PhY`gte H MJuXiacutejOb H QR[]O l QcYamphZJUQsOQ H QcNPfcQcurrenLJU^TY[ H MN H Q H hZJZaringNPQcOYampNOtilde^QsY H NPObnJXqjOb H QR[]OenYZJLJ5aq jecentEgraveJLh H NPO^gcOtilde[PhdOeKhZ[PcentY H e sSs fJLcenthZJUjFUPJSe sSsSs jOXiacute[Ph^J H NPQcfcY[]O H MJOtildehZJUQcOQ H QsNPfcQVcurrenUN H QR[]O JBjN H QR[]OO^5Oeuml[Ph^eJLh H [QCZOslashKhZ[UPJaringOjFZaringJLhQcbLNPfJltz bLQRJUObmSeOWFJaringbn[]ZOslashKj H J H MeJOslashJjN H QR[]O[]O NIacuteONihhZ[Wcent-NPO^aringJUObLfc[]YZQcO[ H MJiexclfRJUPJUf s [SX H MeJUacutefRJUPJUf-YJ H XqjOb H Qc[]OO^ JUacuteNPfcY[jYZJZtimesjf H QRhZJUYZ[]fcj H QR[]O H JUbdMOQBjeJUYcentmZaringN`BQsO[ H MeJFNPb H QVUPJ(bn[]O H []jh$JUP[]fVUPJcopyhY H[]ONOslashfc[W hZJUYZ[]fcj H QR[]O QZ N[PJS^FMeJordfONPfbn[]O H []jeh[Pcent H NPQcOeJU^Xiacute[Ph H MQcYhJU^jbnJU^QZ N[PJaumlQcY H MeJUOjYJU^ NPYNPOQsOQ H QcNPfEgravebLjehYUPJordfXiacute[Ph H MJOtildehZJUNPfgYZQVcurrenLJaumlQCZaringN[PJS^

EparaacuteAgravegtmicrosup1acuteIKJcedilJT2MgtI MraquowMgtmicrosup1MAgravegtacuteIltacuteMgtPltAtilde iquest acuteAgravegtT2MKIshyAtildeAcirccedilAtildeacuteNicircMgtI cedilAEligMgtmicroOcircacuteOgraveJTCJT13MKI sup2OcircacuteJordfsacuteacuteI Jfrac14ltacutegcedilFLT2cedilIshyROgraveacuteAtilderaquoAMLBqoLacute13AtildeR]cedilsup32acute GmicrobcedilAgraveacuteAtilde5O H MQcYUacuteYJUb H QR[]OOeOWFJOslashKhZ[PKEgrave[]YJaeligY[]ZOslashJOslashhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhY H [YJ[iVZOslashJUO H M[]ZOslash[S[PJUOeJL[]jYiexclhZJ[]QR[]OYiexcl[]Ofrac34[PhZJmBYbLNPfRJIacuteQZ N[PJUY^gtMJUYJIacute^eJUYbnhQRK H [PhYiexclNihZJcentNPYZJU^[]O H MJZaringQcOQZaringQVcurrenUN H QR[]O [SX H MeJU~NihdQcNPObnJUYauml[SX H MJ H WF[`bn[]OYZQc^eJLhZJU^OacutehZJnV[]QR[]OY^ 5O H MJ7YJUbn[]O^ K-Nih H e H MJQZOslashKEgrave[Ph H NPObnJOacute[SX H MeJNP^^Q H QR[]ONPf H JLhZaringYebn[]ZaringQsO[XiacutehZ[]Z H MeJiexclU~NihdQcN H QR[]O [SX H MeJUacute^eJUYZbnhQcK H [PhYWQ H M H MeJiexclJUP[]fUBQcOF[IacutehZJ[]Qc[]OYeQcY9MQV[]MfcQ[]M H JU^O^ G QCZOslashKfRJJkWNSZaringKfRJUY9YMe[W H MeJ0QZOslashKEgrave[Ph H NPObnJ$[SX H MeJUYJ0NP^^Q H QR[]ONPfH JLhlZ Y H [ NPbMQRJUPJ H MeJOtildeJkWKEgraveJUb H JU^aYJ[]ZaringJUO H N H QR[]O^^f^laquoIgraveIcirc=KEgrave(FETHOEacuteltEgraveIcircEcircgtNtildeltIcircIgrave8 EacuteshyOacute ETH9Igravek+NtildeshyEgrave13NtildeshyOacute=KIgraveC0EacuteshyEgraveh4ltEgraveOIgravesup1QIcirc=NtildeltEumlOgraveIgrave2Iacute Ntilde4ltIgraveIcircMJQcO H JUOYZQ H mregXiacute[Phu[PhZJmWYZbLNPfRJaumlQZ N[PJUY(QcYhZJLKhZJUYZJUO H JU^centm NlaquoXqjOb H QR[]OOtilderegaringOgraveOumlOtilde 13ordfcentwntilde Otilde 13laquo^ JaKhZ[PKEgrave[]YJ H [bZaringQcOQZaringQVcurrenLJ H MeJU~NihdQcNPObnJUYOslash[SX H MeJ H WF[bn[]OYZQc^WVJLhZJU^ Me[]Zaring[S[PJUOeJL[]jY hZJ[]Qc[]OY QcO [Ph^eJLh H [YJ[]ZOslashJUO H H MeJZ^uMJXiacute[]fcfR[WQcO[^eJUYbnhQRK H [PhY(NihJaumlYZj[S[PJUY H JU^OaringEFG FH uuml thorn UgraveUacuteUuml yuml aacutecntildeaLuOcentUgraveUacuteUuml juuml thorn times Oslash yuml aacutecntildeaLuOcenttimes Oslash juuml thorn otilde)yuml aacutecb a2Ograve]jWMJLhZJjntildea]jQcYNOslashKEgrave[]YZQ H QVUPJordfXiacutejOb H QR[]O [SX$bLfcNPYZYEacuteograve aOtilde 13yj(NPO^kb`NOslashKEgrave[]YZQ H QUPJaumlbn[]OWVY H NPO H ^MJTbn[]ZOslashKj H N H Qc[]O[SX H MeJUPJUfR[BbLQ H mUPJUb H [PhaumlQcY^JU^jbnJU^tXiacutehZ[]Z H MeJIacutebn[]ZOslashK-j H N~VH QR[]O`[SX H MeJaelig^eJLhQVUiN H QVUPJIacute[SX H MeJtimesbnhdQ H JLhQR[]Opoundocirc7^eJUPJUfR[PKEgraveJU^ QcO G JUb^^ macr^feWMQsbMfRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[aeligJUP[]fcj H Qc[]O JjN H QR[]OOaringaelig Yacuteaagravejaelig agrave aacuteethntildeaLu centtimesOslash j ntildeaLu centUgraveUcircUacuteUuml jb ntilderaquo)aLu centtimesOslash jaaOtilde S timesOslash j cent u centtimesOslash j ntilde raquo aLu centUgraveUcircUacuteUuml jaaOtilde SUgraveUcircUacuteUumlj cent u centUgraveUacuteUuml jIcirc13eacute a2Sj

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ fMJiexclYZQcOF[]fRJiexclK-NihNSZOslashJ H JLhcopyWNtildeJOtildeOeJLJU^ H [aringNP^~ZjY H QcY H MeJUacuteYYZOslash[B[ H MQcO[timesKNihNSZOslashJ H JLhb^5OregXqNPb H e H MeJ X [W ethb MNPY H MeJiexclKhZ[PKEgraveJLh H QRJUYNtilde[SXYYZOslash[B[ H MQcOF[IacutecentEgraveJUbLNPjYJOtildeQ H ZOslash[UPJUYH MeJUacutebLjehYUPJUacuteQcO H MeJUacute^QRhZJUb H QR[]O [SX9Q H YfRJUOF[ H MregXqjOb H QR[]ONPfQa G Qs^^QBQeJ H NPfd^VeOfhShS]j^^ ^~IacuteEacuteltEgraveETHOgraveNtildeltOacute=KIgravefrac34Eacute10frac34ETH9Igrave Ntilde8182ETHEacuteshyOacuteNtildeshyEumlETHIgraveFEgraveOIacute5Icirc5O[Ph^JLh H [7JU~NPfcjN H J H MeJ QZOslashKEgrave[Ph H NPObnJ`[SX H MeJ`NP^^Q H QR[]ONPf H JLhlZaringYX[Ph H MeJYJ[]ZaringJUO H N H QR[]OeuWNtildeJpoundZaringN`PJ H MJeumlNPb H QUPJbn[]O H []jehaJUP[]fVUPJ H MehZ[]j[]M H MJ iexcla2SjeQsObLfcj^QsO[ H MeJaumlNP^^Q H QR[]ONPf H JLhlZaringY^ q O H MeJUacute[ H MeJLhMNPO^OeWNtildeJaumlNPfcYZ[ZaringN`PJQ H JUP[]fUPJfrac34WQ H M H MeJwXiacute[]fcfR[WQcO[ WhZ[]OF[JUP[]fcj H QR[]OJjN H Qc[]O H MN H ^e[JUY Oe[ HQcObLfcj^eJ H MeJaumlNP^^Q H QR[]ONPf H JLhlZaringYaringaelig Yacuteaagravejaelig agrave aacuteethntildeaLu centtimesOslash j ntildeaLu centUgraveUcircUacuteUuml j`b Qeacute iuml a2Ogravemacr]jnot [Ph H MeJOtildeJkWKEgraveJLhQZOslashJUO H YeWFJ H N`PJntildeaOgravejOcircaacute ILK KafcediliexclOgravejWMQsbM[]QVUPJUYntilde raquo aOgravejaacutefdOafcedil]j(NPO^ H MeJgUiNPfcjeJOtilde[SX H MeJaumlKNihdNSZOslashJ H JLhEacutebaQcY(YJ HH [frac34f s ^OcirckBKEgraveJLhQCZOslashJUO H Y NihZJ KEgraveJLhYX[PhZOslashJU^ []O NYmWO H MJ H Qcb`QCZaringN[PJumlZaringNP^eJeumljeK [SXTNPO

Me[]Zaring[S[PJUOeJL[]jYYYBjNihZJ[SX9QcO H JUOYZQ H mwf s []O NIacutecentNPbl`[PhZ[]jO^ [SX9QcO H JUOYZQ H mtf s ^ []NPjYZYZQsNPOOe[]QcYJUacute[SXUiNihQcNPObnJ s QcY(NP^^eJU^ H [ H MQcY(YmWO H MJ H QcbOtildeQZaringN[PJS^MeJOtildeJUP[]fcj H QR[]Oa[SX H MeJTNPb H QVUPJtimesbn[]O H []jehUacute^ehQUPJUOcentmpounda2SjQcYu[]QVUPJUO`QcO not QV[^ WMQcfRJ H MeJ[]OeJ`[Pcent H NPQcOeJU^ jYZQcO[ a2Ogravemacr]j QcYordm[]QUPJUO QcO not QV[^ ^ J bLNPO hZJZaringNihY`H MN H WMeJUO H MeJoiexclQsObLfcj^eJUY H MJ NP^^Q H QR[]ONPf H JLhZaringYe H MJ YYBjNihZJ QcYgWFJUfcfYJ[]ZaringJUO H JU^acirca not QV[^ ^bjeuWMeJLhJUNPYWiexclMeJUO H MeJ |iexclD^e[BJUY Oe[ H QsObLfcj^eJ H MeJUYJNP^^Q H QR[]ONPf H JLhZaringYwWFJ7[Pcent H NPQcO N bLQRhbLfcJOacuteQcOY H JUNP^ [SX H MeJ7JkBKEgraveJUb H JU^YYBjNihZJa not QV[^ ^bj^MeJUYJhZJUYZjf H YNtildebLNPOcentEgraveJcentEgraveJ HH JLh(jO^eJLhY H [[W^WMQcfRJNPONPfmcurrenUQcOF[ H MeJiexclUPJUfR[WbLQ H mUPJUb H [PhYUacute[SXNtildeJUNPbMJUP[]fsj H QR[]O JjN H QR[]OO^ Jaringbn[]ZOslashKNihZJ H MeJ H WF[ JUP[]fcj H QR[]OYiexcl[SXH MeJlaquoUPJUfR[WbLQ H mwUPJUb H [PhYauml^jehQcO[ H MeJaeligKhZ[PKN[]N H Qc[]Oeuml[SX H MeJOslashbLjehYUPJwa2WiexclQ H Me[]j HH MeJcentEgrave[]jO^NihYmVcent-NPYJU^ H JLhlZb j^MeJ(JUP[]fcj H Qc[]OOslash[SX H MeJNSZOslashKfsQ H j^eJ[SX H MeJyacuteUPJUfR[Wb|VQ H mregUPJUb H [Ph[SXQ|iexcla2SjFQsY[]QUPJUO QcO not Q[aqYj^ ^ ^OecurrenJSe Xfrac34]eWMQsfRJ H MeJOtildeNSZOslashK-fcQ H j^eJ[SX H MeJUPJUfR[WbLQ H mwUPJUb H [PhOtilde[SX||iexclacirca2Ogravemacr]jiexclQcY []QUPJUO`QcO not QV[aqYj^ ^ ^OecurrenJSe Xfrac34]^ JOslashbLNPO[PcentYZJLhYUPJ H MN HaringH MeJUPJUfc[BbLQ H msup1WiexclQ H Me[]j HaeligH MeJNP^^Q H QR[]ONPf H JLhlZaringY QcYaeligNbn[]OY H NPO HWMJLhZJ [PcentUWQR[]jYfVm H MJaQZaringN[PJfrac34XJUN H jehJUY ^e[OacuteO[ H NiKKEgraveJUNih^ q O H MeJabn[]O H hNihYmH MeJaumlQCZaringN[PJordfXJUN H jhZJUYuWFJUfcfNiKKEgraveJUNihQcO H MeJordfUPJUfR[WbLQ H m QcObLfcj^QcOF[ H MeJaumlNP^^Q H QR[]ONPfH JLhlZ Yya not QV[aqYj^ ^ ^OecurrenJSe Xfrac34jiexclNPO^ Y[ H MeJaumlYljNihJTbLNPO centEgraveJordfWNtildeJUfsfYJ[]ZOslashJUO H JU^O^MeJyKhZJUWQR[]jYEgravehJUYZjf H YgYMe[W H MN H Q H QcY[SXeKhQCZOslashJ$OeJUbnJUYZYZQ H m H [ H N`PJQcO H [NPb|Vbn[]jO H0H MJNP^^Q H QR[]ONPf H JLhZaringYeWbn[]ZaringQcO[XhZ[]Z hZJ[]QR[]OeV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhYeQcO[Phd^eJLh H [ hZJUNPbdMaN H hdjeJgZaringQcOQCZIacutejFZ [SX H MeJaumlbnhQ H JLhdQR[]OO^

uumlnyacutenthornnyumll13YSordmY_F

S $amp)(+-)013021+345627893lt=gt9A6CBEIumlparaacuteAgravegtmicrosup1acuteIKJcedilJT2MgtI MraquoordfAEligMgtsup32MLwMKmicrobMgtAgraveacuteIshyacuteMgtPltAtilde iquest acuteAgraveKT13MKIshyAtildeAcirclaquocedilFAtildeacuteNicircMKIJfrac14ltacutepoundAEligMAringcedilFLT2cedilIltR]acuteHcedilJLTOcircfrac12sup3T13ROgravecedilJT2MgtI JMAgraverltcedilFR]acuteacuteJacuteR]JT2MgtIicircT2ItT2NQacuteM paraacutePshyacuteIltR]acuteAtildeMQcY0K-Nih H ^eJUNPfcYWQ H M H MeJOtildeYJ[]ZOslashJUO H N H QR[]O [SXMe[]ZOslash[S[PJUOeJL[]jY(hZJ[]QR[]OYQcOZtimesjfuVH QcYZK=JUb H hdNPfQZaringN[PJUY^ YNPOaJkWNSZaringKfRJSeWFJIacuteYZMe[W H MN HiexclH MeJTbn[UiNihQcNPObnJZaringN H hQVkbLNPOacent=JIacuteNUPJLhYm KEgrave[WFJLhYXqjf H [B[]f H [ YJ[]ZOslashJUO H Me[]Zaring[S[PJUOeJL[]jYbn[]fR[PhiexclhJ[]QR[]OY^F5OXqNPb H e H MeJtimes^eJ H JLhlZaringQsONPO H [SX H MeJTbn[U~NihQsNPObnJZ N H hQkKhZ[UPJUY H [ centEgraveJIacuteNaringhJUfRJU~NPO Hbn[]fR[PhaelighZJ[]Qc[]O7M[]ZOslash[S[PJUOeJUQ H msup1ZOslashJUNPYZjhZJZOslashJUO H a G NPO[SWQcOeJ NPO^r[PhdOeJSeufhShSi]j^_`QcOQZ QVcurrenUQcO[ H MQcYjNPO H Q H m ZOslashJUNPOY H MN H WFJwWNPO HH [^eJUbnhZJUNPYJ H MeJeumlbn[]ZaeligVKfcJkWQ H m[SXUacuteNeumlhZJ[]QR[]Oa hdNmJ H NPfd^Ve sSs fampN H JUjke sSsSs j^MQcY H [B[]fuZaringNmKhdNPb H QcbLNPfcfVm cent=JaumljYJU^X[Ph XiacuteNPbnJtimes^eJ H JUb H QR[]OaQsO QZaringN[PJaumlYJBjeJUObnJUY^macr^f^laquoIgraveIcirc=KEgrave(FETHOEacuteltEgraveIcircEcircgtNtildeltIcircIgrave8 EacuteshyOacute ETH9IgraveAgrave=Eacute3+NtildeshyEgrave13NtildeshyOacute=KIgravefrac34Iacute_NtildeFETHEgraveEcirc20EacuteshyEgrave=EacuteshyEumlEacuteshyEgrave2Iacute Ntilde4ltIgraveIcircMJQcO H JUOYZQ H mxXiacute[Ph bn[]fR[Ph QCZaringN[PJUYaringQcYOslashhJLKhZJUYJUO H JU^centm7NpoundXiacutejOb H QR[]OOtildeegravearingOumlOtilde 13ordfcent ntilde Otilde 13 WMeJLhZJ Otilde aacute Otilde szligYOtildeOgravecentszligYOtilde13ordf ^iexclXm NPONPfR[S[SmAumlWQ H M H MeJOacuteY H j^Fm Xiacute[Ph[PhZJmWYZbLNPfRJFQZaringN[PJUYeWNtildeJZaringQcOQCZaringQVcurrenLJ H MeJNtilde^J H JLhlZaringQcONPO H [SX H MeJFbn[UiNihQcNPObnJcopyZaringN H hQVk[SX H MeJTbn[]OYQc^eJLhZJU^hZJ[]Qc[]OY^ J5ZaringNmaringNPYYZjFZOslashJ H MN H JUNPbdM bn[]fR[PhFhZJ[]QR[]Oacute13 QsYOcircZOslash[W^eJUfcfRJU^OslashcentmOslashNg[]NPjYYZQcNPO^QsY H hQRcentj H QR[]Oeuml[SXyacuteZOslashJUNPOiexclSegraveaacute S szligPS cent szligPS NPO^7bn[UiNihQcNPObnJZ N H hQk5^MeJKh[PcentNicentQcfcQ H maring^eJUOYQ H moXiacutejOb H QR[]O QcYu[]QUPJUO centm H MeJgXiacute[]fcfR[WQcO[aeligJkWKhZJUYZYQR[]OOaring

$ampamp aOtildejOcircaacute fa )( j +cent aq^J H ayacutejj cent JkWK- f aOtilde Sltj thorn aOtilde Sltj a2Ograve]jG [eZaringQcOQZaringQVcurrenUQcOF[ H MJbn[U~NihdQcNPObnJuZaringN H hQktimes^eJ H JLhlZaringQcONPO H [SX-NPOtimesJUP[]fVUWQcO[hJ[]QR[]ONiKKEgraveJUNihY H [OslashcentEgraveJNtimeshZJUfcJU~NPO HH [[]f H [ordmZaringN`PJ H MQcYFhZJ[]Qc[]O bn[]OUPJLhY[PJ H [WFNih^Y H MeJbLfR[]YZJUY H Me[]ZOslash[S[PJUOeJL[]jYbn[]fR[PhiexclhZJ[]QR[]OO^9J H jY$Oe[ H J timesOslash NPO^0copyUgraveUcircUacuteUuml H MJbn[UiNihQcNPObnJ5ZaringN H hQcbnJUYy[SX=hJUYKEgraveJUb H QVUPJUfVmordmOuml timesOslash aagravejNPO^tOuml UgraveUacuteUuml aagravejaring

atilde aacute213 u Patilde u centatilde u atildeu cent atilde u centcentatilde u cent4atildeu5 atilde u5centatilde u54atilde67 a2zSj

WMJLhZJSaringEFFG FFH u times aumlatilde aacute iacutefaring w aring thorn yuml aOtilde times S times atilde jaOtilde auml S auml atilde j atilde aumlS times atilde aacute iacutefaring w aring thorn yuml Otilde times a2atildeltszligaumlj atilde auml WQ H M aacuteiVIgraveOacute[Ph Kf5

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ J [PcentUWQR[]jYZfm`MNUPJacuteu times aumlatilde aacuteu auml timesatilde ^shy9J H jYaumlO[ H J ^eJ H a atilde j H MJ ^eJ H JLhlZaringQsONPO H [SXH MeJaumlbn[U~NihdQcNPObnJZ N H hQkWiexclMQcbMJkBKhJUYZYZQR[]O QcY H MJgX[]fsfR[WQsO[aring

^eJ H a atilde jumlaacute u Patilde u centcentatilde u 4atilde u centatilde u atilde u cent4atilde u Patilde u cent4atilde u cent4atilde u centcentatilde u atilde u atilde u 4atilde u centatilde u centatilde a2Ogravei]jnot jOb H QR[]OY [SX H MeJeumlbn[UiNihQcNPObnJpoundZaringN H hQk ^eJ H JLhZaringQcONPO H YNihZJ jYJU^ NPY hJ[]QR[]O^eJUYbnhQRK H [PhY^ JIacutebMe[B[]YJ H MJordfX[]fcfc[WQcOF[aeligYZJ H [SX$^eJUYZbnhQRK H [PhYaringEFG FH uuml thorn UgraveUcircUacuteUuml yuml aacute98ordfaq^eJ H acopyUgraveUcircUacuteUumlAjjuuml thorn timesOslash yuml aacute98ordfaq^eJ H a timesOslash jjuuml thorn otilde)yuml aacuteOslashb a2Ograveh]jWMJLhZJ8ordfaOgravejFQcYNOslashKEgrave[]YZQ H QVUPJiexclXiacutejOb H QR[]O [SXampbLfcNPYZYograve aOtilde 13yjFNPO^Cb`NOslashKEgrave[]YZQ H QVUPJOtildebn[]OWVY H NPO H ^gJ H jYNtildeOe[W WhQ H J H MeJJUP[]fcj H Qc[]OaringJBjN H QR[]O [SX H MeJiexclNPb H QUPJbn[]O H []jehcentmbn[]ZOslashK-j H QcO[ H MJIacute^QEgraveJLhZJUO HH JLhlZaringYiexcl[SX_a j^J H NPQcfcYiexcl[SX H MeJIacutebn[]ZaringKj H N H QR[]O bLNPOcentEgraveJgXiacute[]jO^QsOaNiKKEgraveJUO^QVk X5^gtMJaumlJUP[]fcj H QR[]O`JBjN H QR[]O[SX H MJIacuteNPb H QVUPJaeligbn[]O H []jhQcY H MJgX[]fsfR[WQsO[aringaelig Yacuteaagravejaelig agrave aacute8gaq^eJ H atimesOslashjj 8ordfaq^eJ H a UgraveUcircUacuteUuml jj`b admacr s jlt8Icircraquodaq^eJ H a times Oslash jgt= ccedil A B egrave aOtilde S timesOslash jaOtilde B5 S BtimesOslash jB^eJ H aDC EBtimesOslash ja fj BGFH amp^eJ H atimesOslashj48 raquo aq^eJ H atimesOslashjj 8Icircraquodaq^eJ H a UgraveUacuteUuml jgt= ccedil I B egrave aOtilde Eacute S UgraveUcircUacuteUuml jaOtilde B S BUgraveUcircUacuteUuml jB^eJ H aDC JBUgraveUacuteUuml ja fj BKFH amp^eJ H a UgraveUcircUacuteUuml j48 raquo aq^eJ H a UgraveUcircUacuteUuml jjcedil13eacuteMJZaringN H hdQkLC JBatilde QsY ^JU^jbnJU^icircXh[]Z H MJeumlbn[U~NihdQcNPObnJbZaringN H hdQkM atilde centm YZjeKeVKhJUYZYZQcO[ H MeJ uuml UumlON hZ[WENPO^ H MeJ I UumlON bn[]fcjFZaringO^MeJeumlfcNPY H Xiacute[]jeh fsQcOeJUY [SX H MeJJBjN H QR[]ONihZJ H MeJOtildeNP^^Q H QR[]ONPf H JLhZaringY(bn[]ZaringQcO[XiacutehZ[]Z H MeJiexclU~NihQsN H QR[]O [SX H MeJOtilde^eJnVYZbnhdQRK H [PhYWiexclQ H Mordmagrave^ Y0Q H MNPYycentEgraveJLJUOOslashKhJUBQR[]jYZfVmTKhZ[UPJU^X[Ph[PhZJmWYZbLNPfRJiexclQCZaringN[PJUYeH MeJUYZJ H JLhlZaringYMNUPJ H [ cent=Jaumlbn[]OYZQc^eJLhZJU^ QsO[Ph^eJLh H [regZ N`PJ H MeJTNPb H QUPJTbn[]O H []jhbn[]OUPJLhY[PJ H [WFNihd^YNZ QcOQZtimesjFZ [SX H MJTbnhQ H JLhQc[]OO^macr^ ^~THORNUgrave2FIgraveFEgrave2Iacute_IgraveFOacuteshyETHOgraveNtildeshyEumlEgraveOIgraveIcircdEumlETHOIcircnot [Ph H MJ JkWKEgraveJLhQZOslashJUO H YeQWNtildeJ H N`PJCntildea]jordmaacute ILK Kaf[]jgWMQsbMsup1[]QVUPJUYnntilde raquo aOgravejaacutefdOafWOgravej(NPO^8ordfaOgravejaacute ILK KafIcirch cent juWMQcbdMt[]QVUPJUY8 raquo aOgravejaacute ETHOafIcirch cent j^ JbdMe[[]YZJ bbaacute f s ^QMeJaringbn[]fR[PhtimesYKNPbnJ YJUfcJUb H JU^QcYaQPszlig l szligicirclaquojeltWMeJLhZJwaOtilde aacuteRPordmjhZJLKhZJUYJUO H Y H MeJfsjFZaringQcONPObnJNPO^waOtildeOgravecent5aacute l j$NPO^frac34aOtildeS aacuteOslashicircj$hZJLKhZJUYJUO HyH MeJ H WF[bdMehZ[]ZaringQcONPObnJUY^ not [Ph H MeJbn[]ZaringKj H N H QR[]OOslash[SX H MeJuUiNihQcNPObnJSei[]Ofm H MeJfcjZaringQcONPObnJQcY(jYJU^O^

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CB5Oaring[Phd^eJLh H [aeligYJ[]ZOslashJUO H NPO Me[]ZOslash[S[PJUOJL[]jY0hJ[]QR[]OOeOgraveWFJiexclY H Nih H WQ H M NPO QcOQ H QcNPf

bLjehlUPJ0QcOYZQs^eJ H MJ0hZJ[]QR[]Oauml[SXWQsO H JLhZJUY H ^MeJybLjhYUPJ0QcY H MJUOTYZjeKK=[]YZJU^ H [JkWKNPO^jO H Qcf(Q H hJUNPbMeJUY H MeJ centEgrave[]jO^NihlmOacute[SX H MeJabn[]ObnJLhdOeJU^ Me[]Zaring[S[PJUOeJL[]jYaringhJ[]QR[]OO^MJtimesbLjehlUPJtimes^e[BJUYUacuteOe[ H [P[cent=JmP[]O^ H MJUYJaeligcent=[]jO^NihQRJUYiexclYZQcObnJSe=[UPJLh H MeJLhZJSe H MeJbnhQ H JLhQR[]OOacuteQsObnhZJUNPYJUYtimescentEgraveJUbLNPjYJ H MeJU~NihdQcNPObnJOcircu centtimesOslash [Ph H MeJ bn[U~NihdQcNPObnJtZaringN H hQVk^eJ H JLhZaringQcONPO H ^eJ H atimesOslashjUcirccentOtildeQsObnhZJUNPYJS^MeJaringNPfV[P[PhQ H MZEcentNPYJU^[]O H MeJ bn[UiNihQcNPObnJZaringN H hQVkeumlQcYaumlK=JLhlX[PhlZaringJU^euml[]ONPOQZ N[PJ [SX H MeJUBQs^eJL[`YJBjeJUObnJrnN`WQVmP[]peumlQcO[Ph^JLh H [euml^eJ H JUb HaeligH MeJYKEgraveJUN`PJLhUTYXqNPbnJS^gtMJaumlJUP[]fcj H QR[]O[SX H MJIacutebLjehYUPJIacuteQcYu[]QVUPJUO QcO not QV[^ macr^gtMeJTbn[]O H []jehiexclJUP[]fUPJUYH [ONPfcfVmbn[]OUPJLhY[PJaelig[]O H MeJIacutecent=[]jO^NihQRJUY[SX H MJyXqNPbnJa not QV[^ macr^bj^OMeJyXiacuteNPbnJaeligQcYH MeJUONPbLbLjehdN H JUfVm YZJ[]ZOslashJUO H JU^^FMeJUacuteNSZOslashKfcQ H j^eJ[SX H MeJiexclUPJUfR[BbLQ H m QsYFNPfsY[laquo[]QVUPJUOQcO not QV[aqYj^ macr^ ^OecurrenJSe Xfrac34jNPO^WNtildeJUacutebLNPO [PcentYJLhYUPJ H MN HFH MeJ5XiacuteNPbnJUacutehZJ[]QR[]O QcYUPJLhYmWFJUfcf^eJUfsQZaringQ H JU^regXhZ[]Z H MJ[ H MJLhhZJ[]QR[]OY^MJ5UPJUfc[BbLQ H m[]QUPJUO QcO not QV[aqYj^ macr^ ^OecurrenJSe XQcObLfcj^eJUY H MeJNP^^Q H Qc[]ONPf H JLhlZaringYFbn[]ZaringQcOF[yXiacutehZ[]Z H MeJ5UiNihQcN H QR[]O [SX H MeJiexcl^eJUYbnhQRKeVH [PhY5WQ H Magrave`centj H ^e[BJUYOtildeOe[ H QcObLfcj^eJ H MeJaeligcentEgrave[]jO^NihlmVcentNPYZJU^ H JLhlZ WMQcbMeumlQcYUacuteNYYZaring[[ H MQsO[ H JLhlZ^KMeJtimesNSZOslashKfcQ H j^eJOtilde[SX H MeJyUPJUfc[BbLQ H maQcYiexclOe[PhlZaringNPfcQcurrenLJU^ centEgraveJ H WFJLJUOs NPO^ macrSmacre$YZjbdM H MN HTH MeJ OeJ[]N H QVUPJoU~NPfcjJUYIacuteNihZJ fR[WFJLh H MNPO f i`NPO^ H MeJKEgrave[]YZQ H QUPJ[]OJUYNihZJTMQ[]MeJLh H MNPOpoundf i^ J bLNPObn[]ZaringKNihZJ H MJ QcOQ H QsNPfUPJUfR[BbLQ H m[Pcent H NPQcOJU^jYZQcOF[ H MeJ bn[U~NihQsNPObnJZaringN H hdQk admacr s juWQ H M H MeJOtilde[]OeJOtilde[Pcent H NPQcOeJU^jYQcO[ H MeJordfUiNihQcNPObnJrega2Sj^KMeJordfXqNPbnJTQcYOe[ H WNtildeJUfsf9^eJ H JUb H JU^QcO H MeJUPJUfR[BbLQ H m[Pcent H NPQsOeJU^ajYQcO[ H MeJUiNihQcNPObnJa not Q[^ ^bjWMJLhZJUNPYIacuteQ H QcYIacutehZJUNPfcfmumlWNtildeJUfcfF^eJ H JUb H JU^QsO H MeJQcOQ H QcNPfUPJUfR[WbLQ H m7jYZQcOF[ H MeJbn[iVUiNihQcNPObnJpoundZ N H hQk a not QV[^ ^currencentj^_MeJ UPJUfR[WbLQ H m [Pcent H NPQcOeJU^ jYZQsO[ H MeJumlU~NihdQcNPObnJ^e[BJUYOe[ H NPfsfR[W NPOJltz bLQRJUO H YJ[]ZOslashJUO H N H QR[]O`[SX H MeJyXiacuteNPbnJauml[]O H MeJaumlbn[]O H hNihYm H [H MeJIacutebn[UiNihQcNPObnJlaquoZaringN H hQk^eJ H JLhZaringQcONPO H WMQsbM H N`PJUYUacuteNP^UiNPO H N[PJaelig[SX H MeJtimesbn[]fR[PhQcOFX[PhlZ N H QR[]OO^macr^ ^WVFEumlETH=gtNtildeFETH32EacuteltOacuterETHEacute`0Ntilde=KIgravek8ltIgraveFETHIgrave5=KETH32EacuteltOacute~2Oacute+(8ltIgraveEacute IcircIgrave5euml1IgraveFOacute=KIgraveIcircMJa^eJUYZbnhQcK H [PhYOslashcentNPYZJU^[]O H MJ`bn[UiNihQcNPObnJZaringN H hdQkNihJ`QZOslashK-fRJZOslashJUO H JU^ H [^eJ H JUb H MBjFZaringNPO XqNPbnJUYQcO UWQc^eJL[OacuteYJBjeJUObnJUY^MQsYaring^eJ H JUb H QR[]OegraveZaringNm cent=J`jYJU^Xiacute[PhtUWQc^eJL[ bn[B^QcO[ H [JUObn[W^eJYJUfcJUb H QVUPJUfVm H MeJOacuteMBjFZaringNPOegraveXqNPbnJS^ not [Ph`N []QVUPJUObn[]ZOslashKhZJUYZYZQR[]OOacutehN H QR[e H MeJoXiacuteNPbnJbLNPO7cent=J H hNPOYYZ Q HH JU^bWiexclQ H MN MQV[]MJLhThN H J H [H MeJ^eJ H hdQZOslashJUO H [SX H MeJcentNPbl`[Ph[]jO^O^uMQsY QsO H JLhZJUY H QcO[KhZ[PKEgraveJLh H m QcYUiNPfcjWVNicentfcJuX[PhUBQc^JL[Bbn[]OXiacuteJLhZJUObnJUYe]WMeJLhZJ H MeJ ZOslash[]Y H QZOslashKEgrave[Ph H NPO H NPO^regZOslash[]Y H U~NihdQcNicentfRJQcOFX[PhlZ N H QR[]OQcYfR[WbLN H JU^ []O H MJordfXiacuteNPbnJaq 5ZOslash[]Oe[]j`NPO^tUacutejMNSZaringJUfde sSsSs j^ J QcOQ H QcNPfcQVcurrenLJ H MJhdY H XiacutehNSZOslashJoWQ H M7N`bLQchbLfRJ QsOYZQc^eJ H MeJXqNPbnJ H [ H hNPbY`K^MJUOOeyacuteWFJsup1ZaringN`PJ H MeJNPb H QVUPJ7bn[]O H []jeheumlJUP[]fVUPJjYZQcOF[admacr s jeiexclWQ H MX8ordfaOgravejxaacuteILK KafUgravemiddot cent j^ltMeJregONPfybn[]O H []jehtimes[SX H MeJ bLjehZhJUO H QZaringN[PJ QcY H MeJUOOacutebdMe[]YJUO7NPYNPO QcOQ H QcNPfbLjhYUPJordfX[Ph H MJUacuteOJk H QZaringN[PJS^FMeJOtildeNPfV[P[PhQ H MFZMNPYcentEgraveJLJUOKEgraveJLhYXiacute[PhlZOslashJU^[]OYJUPJLhdNPf$YJjJUObnJUY^MeJaelighZJUYjf H Y5X[Ph H MJaeligYZJjeJUObnJpoundn5JLhQV`p NihJordm[]QVUPJUOQcOnot QV[^ethz^shyMeJaringKNihNSZaringJ H hZJ bMNPYaumlcentEgraveJLJUOYZJ HaumlH [sup1f s ^QMeJordmXqNPbnJ QcYordfWFJUfcfy^J H JUb H JU^NPO^ H hNPbY`PJU^times[]O H MJ|WMe[]fcJyYJjJUObnJS^MJyhZJUYZjf H YOX[Ph H MeJNtildeYZJjeJUObnJnN`WQVmP[]p

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ macrNihZJy[]QVUPJUO`QsO not QV[^ i^ JaeligbMe[B[]YJbaacute s ^ JtimesbLNPO`YJLJ H MN HH MeJXiacuteNPbnJaeligQcYuWFJUfcf^eJ H JUb H JU^aJUPJUOaQVX H MeJaumlbn[]fR[Phiexcl[SXMJLhYZMQRh H QsY(bLfR[]YJ H [ H MJgXiacuteNPbnJIacutebn[]fR[Ph^

YOEAEligMgtIltROgravesup3PshyAtildeT13MKI5O H MQcYKNiKEgraveJLheuWNtildeJKhZ[PKEgrave[]YJN OeJW 0jfRJLhQcNPOAumlZaringQsOQZaringQVcurrenUN H Qc[]OAumlZOslashJ H Me[W^ H [bn[]ZOslashK-j H J H MJUPJUfR[WbLQ H mpoundUPJUb H [Pharing[SXNPONPb H QVUPJ bn[]O H []jeh H MN H JUOYZjehZJUYtimesQ H WQcfcfJUP[]fVUPJ NPYordfXiacuteNPY H NPYOtildeKEgrave[]YZYZQRcentfcJ H [WNih^YIacuteNZaringQcOQCZIacutejFZ [SXN bnhQ H JLhQR[]OeumlQcObLfcj^QcOF[centEgrave[ H MUacutehZJ[]QR[]OeVcentNPYJU^TNPO^OtildecentEgrave[]jO^NihYmVcentNPYJU^ H JLhlZ Y^ q jehgNiKKhZ[]NPbMIacuteQcYcentNPYZJU^Otilde[]OYZMNiK=J[PK H QZaringQVcurrenUN H Qc[]OOslashKhQcObLQRKfRJUY$NPO^ QcYyKEgraveJLhYXiacute[PhlZOslashJU^ QcO H MehZJLJ5ZaringNPQcO Y H JLKYaringf^ltO H hZ[W^jb H QR[]O[SX$NOslash^mWONSZaringQcbLNPfYbMeJZOslashJIacuteQcO H MeJTbnhQ H JLhQR[]OOe ^vF[]ZOslashKj H N H Qc[]Oaelig[SX H MeJ_0jfRJLhdQcNPOaelig^eJLhQVUiN H QVUPJ[SX H MJbnhQ H JLhQR[]OOslashjYZQcO[OtildeYZMNiKEgraveJ

[PK H QZaringQVcurrenUN H Qc[]O H [[]fcYe^vF[]ZOslashKj H N H Qc[]Oa[SX H MeJtimesJUP[]fcj H Qc[]OaJBjN H QR[]O`[SX H MeJaeligNPb H QVUPJtimesbn[]O H []jehiexclXiacutehZ[]ZH MeJT^eJLhQU~N H QVUPJS^

iexcl Ntilde _ cent G NPfcfR[WY H [hJUNP^QcfVm H N`PJNtildeQcO H [NPbLbn[]jO H9H MeJybLNPYJ0[SXBhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H^eJUYbnhQRK H [PhY H MN H NihZJo[]fR[PcentNPfcfVmN HH NPbdMeJU^ H [ H MeJ JUP[]fVUWQcO[ hZJ[]QR[]OYtimesNPO^Y[H MN H UiNihYm^jehQsO[ H MJaumlKhZ[PKN[]N H Qc[]O [SX H MJaumlbLjehYUPJS^ JTYMe[W H MN HH MeJgUiNihQuVN H QR[]O [SX H MeJUYJ^JUYZbnhQRK H [PhdY QsO^jbnJUYNP^^Q H QR[]ONPf H JLhlZaringYQcO H MeJeumlJUP[]fcj H QR[]OJBjN H QR[]Oeuml[SX H MeJaringNPb H QVUPJ bn[]O H []jeh^MJUYJ H JLhlZaringYgZtimesjY H Oe[ H centEgraveJlaquoX[Phl[P[ HH JUOQcO[Ph^JLh H [ hZJUNPbMeumlN H hjeJZ QcOQZtimesjFZ[SX H MeJtimesbnhQ H JLhQc[]OaNPYUacuteQ H MNPYcentEgraveJLJUOKEgrave[]QcO H JU^[]j H QsOJkBKEgraveJLhQZaringJUO H NPfEgravehZJUYjf H Y^

Yfrac34XiacuteNiheumlNPYeumlMe[]ZOslash[S[PJUOeJL[]jYeumlbn[]fR[PheumlhZJ[]Qc[]OY`YZJ[]ZOslashJUO H N H Qc[]OQsY`bn[]ObnJLhdOeJU^OeWFJKhZ[PKEgrave[]YJ H MeJ`bn[U~NihQsNPObnJfrac34ZaringN H hdQk^eJ H JLhlZaringQcONPO H NPY N^eJUYbnhQRK H [Ph^MQcYY H N H QsY H QcbLNPfhZJ[]QR[]OeV4^eJLKEgraveJUO^eJUO H ^JUYZbnhQRK H [PharingNiKK=JUNihdY H [centEgraveJN UPJLhlm7hJUfRJU~NPO HH [B[]fampNPO^eumlY[ Q H MNPYUacutecent=JLJUOeumlYZjbLbnJUYZYXqjfcfVm NiKKfsQRJU^ H [XqNPbnJaring^eJ H JUb H QR[]OQcOfrac34UWQc^eJL[YJBjeJUObnJUY^

iquest acuteraquoacuteLacuteIltR]acuteAtildeagraveIgravefrac14dEcircsup1Atilde5AringiquestLmiddotNtildeIumliquestUumlgIumlUTHORNampAtildeEacutecedilAtilde5AringAcircnAtilde|iquestaacuteIacuteIumlIZEgravefrac14Zcedilfrac12frac14dAringiEcirc]iquestfrac14draquoiEcirc[NtildeIumlagraveAringEacutePAtildecedilwAacute4] uacute_^J^J^ iquest)` igraveraquoLCcedilfrac14cedil4Ecircfrac14draquo~Ecirc(Auml|AringAacuteCcedilfrac14Zcedil4Ecirc

Agrave5AringcedilAcircnAtilde$AtildeAcircnAuml|frac12AringAacutesup1AumldraquoTAringAEligwsup1raquo~ordm(frac12Atilde5AcircnAtilde5frac12AEligwAtildeAacuteampIgrave(Atilde AacuteIcirc~AumlUEcircSaIumligraveraquo13] x4~rv p4PldrRtcoPl|Egraveod5v pv i4vodaumlx4shyl not vsectpqo v tu not Iumlcb$Auml|EacutePAtilde|iquestednfrac14Oumlifrac14draquoIuml

agraveIgrave(Aumldraquo~Auml|Aringiquest~igrave4IumlPfrac14raquoiEcircfWIumliTHORNampAringIcircifrac14Igrave(Atilde5frac12G] divideugrave|ugrave|ugrave iquest` igraveAacuteAtildecedil4frac14ZAacutesup1Acirc|AtildeNtildeEacute~frac14dAgrave4UgraveUCcedilEgravefrac14cedil4EcircUacuteAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoUacuteOgraveregAumldcedilIcirc~sup1Atildecedil4frac14cedilAgrave4Icirc~sup1currenEumlAgravefrac14dfrac12=CcedilEgravefrac14AcircnAtilde5frac12AtildeAacutesup1Igravefrac14ordm|AtildeAgrave5AumlUEcircsup1raquo~ordmIaIumlaeligigraveiacuteraquoS] x4rv p ildrRtcodil|ampod5v pv P4vOtildeodOslashx4shy(l not vFsectpqo v tu not Iumlg frac14raquo~Agrave5AumldAring~AcircnAtildecediliquestehEgravefrac14raquoifrac14|Ecircfrac14Iuml

agraveAringEacutePAtildecedilwAacuteiquest[NtildeIumlWfrac14raquoiEcircifWIuml13b$Aumldcedilraquo~OumlcedilAuml|EacuteAEligqAacute4] divideugrave|ugraveuacute iquestkj ldrregv shy(ldrRtcl|ipwonm5v shyNtildetuOslashtushyl not vampipwo4v tu not sect9ldp4rRtcl|Egravedt lv pv ~rRtRl|9vDm~lrRtcod~ldiTrreg~vUacutel| Uiexcloqnldp4tcldrRtRod~ iquestpoAumlIuml uacute_qEr IumlOslashagrave9Ouml~Oumlfrac12sup1AtildeEcircaacuteUacutefrac14AacuteIcirc~AtildeIgravefrac14Aacutesup1Agravefrac14dfrac12BatildeAgravesup1Atilderaquo~Agrave5Atilde5AElig5iquestPatildeOumlcedilsup1raquoordm|Atildecedil g Atildecedilfrac12frac14dordmIumlhEgravefrac14dAEligwAtilde5frac12frac12Atilde5AElig5iquest g Iumliquest~szlig0Iumleb$sup1Igrave(Igrave(Atilde5frac12Riquestifrac14raquoiEcirc[NtildeIumlatildefrac14dOumlsup1cedilAumlI] uacute_^J^Er iquest`s[Atilde5AumlUEcircAtilde5AEligwsup1AgraveFfrac14dAgraveAacutesup1AcircnAtildeyAgrave5AumldraquoUAacuteAumldAringcedilAElig_aIuml x4~rv p4PldrRtcodPldpoundUodUp4Pl|WoqodshyiUrv paumlumltutcodutet13v uacute+w iquestex uacuteyIrz^ Iuml

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CBh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34LiquestBagraveyIumlWfrac14raquoiEcircidIumlBTHORNampAringraquo~Agravefrac14raquo13] uacute4^z^J^ iquest`[ampfrac14Igrave(AtildeEumlcAacuteIcirc~Atilde5AumlcedilAtildeAacutesup1Agrave(sup1raquoUAacuteAtildeordmdcedil4frac14Aacutesup1AumldraquoaeligOgraveuAumldcedil0sup1Igravefrac14dordmdAtildeAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIuml xQ|||~pwl~ lnrRtcodNtildeodiexclsect9lrRrv p auml9Pl| ~tuyldi j l|4Utu]vx4~rvreg t not v P4v Iumlh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34Liquestgagrave0IumliquestIumlgatildeUAacute4frac14dsup1Eacuteiquest9frac14draquoiEcircdIuml9THORNampAringraquo~Agravefrac14raquo13] uacute_^J^ xiquest` THORNampAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeIacuteEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34iraquo~Ecircsup1raquo~ordmsup1raquoIgrave(AtildeEcircsup1Agravefrac14frac12iexclsup1Igravefrac14ordm|Atilde5AEligaringEacuteLfrac34Oacutesup1raquoLAacuteAtilde5ordmcedil4frac14Aacutesup1raquo~ordm ordmdcedil4frac14|Ecircsup1Atilde5raquoLAacute frac14raquoiEcirccedilAtilde5ordm|sup1Auml|raquo sup1raquoOgraveuAumldcedilIgravefrac14ZAacutesup1Auml|raquo13aIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu notI iquesteE ^4y rdugrave Iumlh=Icircifrac14raquoiquestBETHIumlWfrac14raquoiEcircIuml g Atilde5AEligwAtildeJ] dividedugravedugraveuacute iquest` agraveAgraveAacutesup1AcircnAtildeFAgrave5Auml|raquoLAacuteAuml|AringcedilAElig$Ccedilgsup1AacuteIcircAuml|AringAacuteNtildeAtilde5Ecircordm|AtildeAElig_aIuml xQ||k|~pwld lnrRtcododUacutex4shy(l not v9sectpqo4v 4tu notuU v divideJw iquest divide xJx ydividezrJr Iumlh=Icirc~Atilde5AEligwraquo~frac14dAring~EcirciquesthIumliquestfWIuml=szligAtildeOgraveYacutecedilIAtilde5ordm|sup1Atildecediliquestfrac14draquoiEcirc g Iuml5Z=AumldAring~frac12AtildeAacute4] uacute_^J^z^ iquest`currenatildeUAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12cedilAtilde5ordmdsup1AumldraquoAEligwraquoifrac14dUgrave|AtildeEumlsEacuteifrac14dAEligwAtilde5EcircAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquofrac14|Ecircfrac14dOumlAacuteAtilde5EcircFAacuteAumlyEcircsup1s]AtildecedilAtilde5raquoLAacute-Ouml~IcircLfrac34AEligwsup1Agrave5frac14dfrac12~raquoAuml|sup1AEligwAtilde9Igrave(AumlUEcircAtilde5frac12AElig_aIuml xQ||k|~pqld~ lnrRtco~$osect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4vt iquest uacute|uacute_q y~uacute|uacute xIumlh=Auml|IcircAtilde5raquoiquestIuml] uacute4^z^uacute iquest`currenmiddotraquofrac14dAgrave Aacutesup1Acirc|Atilde Agrave5AumldraquoLAacuteAuml|AringcedilIacuteIgrave(AumlUEcircAtildefrac12AEligtimesfrac14draquo~EcirceumlEacuteifrac14dfrac12frac12AumlLAuml|raquoAElig_aIuml odshyiUrv pumltutcod pwl Utc0ldix4shyl not vsectEgravepwo4v tu not x4shyl not vOtildePnv p rsldidtu not) iquest divideUuacuteduacuteydivideLuacute UIumlh=Auml|IcircAtilde5raquoiquestSIumliquestUumlIuml13ZEgravefrac14cedil4Ecircsup1raquo~AtildeAacuteiquestfrac14raquoiEcircoNtildeIumlagrave9frac34Lfrac14dAgrave4Icirc~AtildeJ] uacute_^J^z iquest`atildeUAringcedilwOgraveufrac14dAgrave5Atilde0cedilAtilde5Agrave5Auml|raquoAEligqAacutewcedilAring~AgraveAacutesup1AumldraquotimesAring~AEligwsup1raquoordmfrac14AgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilaumlIgrave(AumlUEcircAtilde5frac12AElig_aIuml igraveiacuteraquoS] Lsect=xQ|od5v pv P4v od vwodshy(v rRp tc j v rregodtimestuodshyiUrv pumltutco Iuml~atildefrac14raquoUacuteTHORNampsup1Atilde5ordm|AumliquesthEgraveagraveyIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquestEgraveUumlIuml] dividedugrave|ugravedugrave iquest`currenatildeAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquo Ouml~frac14cedilAgrave5Auml|raquoLAacuteAuml|AringcedilAEligUacutefrac14AgraveAacutesup1currenOgraveuAEligUacuteAtilde5raquosup1Igravefrac14dordmdAtildecedilsup1AtildeIacuteIgraveAtilde5Ecircsup1Agravefrac14dfrac12AtildeIacuteEcircfrac34UEumlraquoifrac14dIgrave(sup1ecircLAring~Atilde]ampfrac14Ouml~Ouml~frac12sup1Agravefrac14ZAacutesup1AumldraquoAtilde5raquoeumlAgravefrac14Zcedil4Ecircsup1Auml|frac12Auml|ordmdsup1Atilde raquoUAring~Agravefrac12Atilde5frac14dsup1currencedilAtildeJaIumlfIcircIuml THORNFIumlAacuteIcirc~Atilde5AEligwsup1AElig5iquestraquo~sup1AcircnAtildecedilAEligwsup1currenAacutefrac34`AumlOgraveosup1Agrave5AtildeEumliacuteatildeAumldOuml~Icircsup1Yacutefrac14NtildeagraveraquoLAacutesup1OumlPAuml|frac12sup1AElig5iquestPeacutecedil4frac14raquo~Agrave5AtildedIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquest|UumlIumliquestUaacuteIacuteIumlEZEgravefrac14cedilfrac12frac14dAring~Ecirciquest[NtildeIumlLagraveAringEacutePAtildecedilwAacuteiquest|frac14draquoiEcirc dIumlnTHORN$frac14ZcedilAgrave5Auml|AringcedilwAacute4] divideugrave|ugraveUuacute iqueste`currenatildeOuml~frac14dAgrave5AtildeEgraveAacutesup1Igrave(AtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14EumlAacutesup1AumldraquoUacuteAring~AEligwsup1raquoordmfrac12Atilde5AcircnAtilde5frac12AEligwAtildeAacutefrac14dAgraveAacutesup1AcircnAtilde$AgraveAuml|raquoLAacuteAuml|AringcedilAEligfrac14Ouml~Ouml~frac12sup1AtildeEcirciexclAacuteAumlFIgraveNtildefrac34LAumlLAgravefrac14Zcedil4Ecircsup1frac14dfrac12ordmnfrac14ZAacuteAtildeEcircOtildeatildeIf-UumlkhEgraveETHaIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu not t v rJw iquest)x qJ+y xJ ^ Iuml

THORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquest13iexclNtildeIumlfrac14draquo~EcircdIumlWaacuteAuml|raquoLAacute4frac14ordm|raquoifrac14ZAacute4] divideugrave|ugraveUuacute iquest` ETHBAumldOumlPAuml|frac12Auml|ordmfrac34Oslashfrac14raquoiEcircIacuteAEligwIcirc~frac14dOumlPAtildeAgraveAuml|raquo~AEligqAacutewcedil4frac14sup1raquoUAacuteAEligyAumldraquotimesOumlifrac14Zcedil4frac14EumlIgrave(AtildeAacutewcedilsup1AgraveOslashfrac14dAgraveAacutesup1AcircnAtildearingAgrave5AumldraquoLAacuteAuml|AringcedilAElig_aIuml odshy~rv pumltutcodldP x4shy(l not vPLv p4rsldPtu notcent) v divideJw iquestuacute_qnugrave4yiuacute4rUuacute Iuml[Auml|Igrave(Atilde5AElig5iquestpounddIumlfrac14draquo~EcircaringmiddotNtildeIumleacuteifrac14Aring~ordm|Atilde cedil4frac14dAElig_] divideugrave|ugrave|ugrave iquestcurren` szlig9Atilde5Agrave5Aumldraquo~Agrave5sup1frac12sup1raquo~ordmIacuteEcircsup1AEligqAacute4frac14draquoAgrave5AtildeOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligfrac14draquo~Ecircaeligfrac12Atilde5AcircnAtilde5frac12EgraveAEligwAtilde AacuteAElig_aIumlpoundUodUp il|WoqUacuteumltul|-odshyNtildeshyFU~tR4lrRtcodTldix4shyl not vampgvipv v rsldrRtcod ) iquest dividedugravez^+ydivideddividez Iuml[cedil4frac145frac34LiquestszligyIumliquestdIumlyen-Auml|Aringraquo~ordmiquestampfrac14raquoiEcircagrave0Iumlampagravesup1currenfrac34LAtildecedil4] dividedugravedugraveuacute iquest `aacutesup1raquosup1IgraveNtildeAring~Igrave Ecircsup1AEligwAgrave cedilsup1Igrave(sup1raquo~frac14Aacutesup1Auml|raquosup1raquoOgraveregAumldcedilIgravefrac14Aacutesup1AumldraquoAgrave5frac12Aring~AEligqAacuteAtildecedilsup1raquo~ordmI]Igrave(AumlUEcircAtilde5frac12sup1raquo~ordmTfrac14raquoiEcircOslashecircLAringifrac14raquoUAacutesup1Ocircfrac14ZAacutesup1Auml|raquoOslashCcedilgsup1currenAacuteIcirc ordm|frac14dAringAEligwAEligIgrave(sup1currenicircAacuteAringcedilAtilde5AElig_aIumlTigraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquest=atildePIumliquest=aacuteIacuteIumlkZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestEgravefrac14raquoiEcirc[NtildeIuml=agrave9Aring~EacutePAtildecedilwAacute4] dividedugrave|ugraveUuacute frac14Uiquest` agrave EumliacuteatildeUAacuteAtilde5Ouml frac14dfrac12ordm|Aumlcedilsup1currenAacuteIcirc~IgraveAring~AEligwsup1raquoordmcedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtilde=Agrave5Auml|raquoLAacuteAuml|AringcedilAEligeOgraveuAumldcedilAcircUsup1EcircAtilde5AumlAuml|EacuteUbrvbarqAtilde5Agrave AacuteAElig=EcircAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoSaIuml~igraveraquo13]psect xw j x4 sect odpDumlqo odUacutex4shy(l not v9Pl| ~tu5op j rRtushyvwdtclNtildex4rv pwlnrRtKndvy]v pntc4v IumliETHWfrac14dIgrave(OumlPAtilde cedilAtilde|iquestieacuteWsup1raquofrac12Yacutefrac14raquoiEcirc]Iumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquestUatilde]IumliquestUaacuteIacuteIumlUZ=frac14cedilfrac12frac14dAring~EcirciquestUfrac14raquoiEcirccopy[NtildeIumlUagrave9Aring~EacutePAtildecedilwAacute4] dividedugravedugraveuacute EacuteiquestA` szlig9Atilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14AgraveAacutesup1AcircnAtildegAgrave5Auml|raquoLAacuteAumldAringcedilAEligOgraveuAumldcedilAcircUsup1YacuteEcircAtilde5AumlaringAuml|EacuteUbrvbarqAtilde5Agrave AacuteOtildeAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo Ccedilgsup1currenAacuteIcircaAgrave5frac14dIgrave(Atildecedil4frac14OslashAgrave5AumldIgrave(OumlPAtilde5raquo~AEligfrac14ZAacutesup1Aumldraquo13aIumligraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquesteatilde]IumliquestWaacuteIacuteIumlZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestefrac14draquo~Ecirc[NtildeIumlBagraveAring~EacutePAtilde cedilwAacute4] divideugrave|ugraveuacute Agrave|iquestk` g sup1EcircAtilde5AumlUacuteAuml|EacuteUbrvbarqAtildeAgraveAacuteFAEligwAtildeordm|Igrave(Atilde5raquoLAacute4frac14Aacutesup1AumldraquoAring~AEligwsup1raquo~ordmIacuteAtilde5Aring~frac12Atildecedilsup1frac14draquo cedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAElig_aIuml igraveiacuteraquoS] x4rv p ildrRtcodil|yodv pwv P4vIacuteoodshyiUrv paumlumltutcod Iuml g frac14draquoAgrave5Auml|AringAcircnAtildecediliquestehEgravefrac14draquo~frac14|Ecirc~frac14UIumlbyfrac14dAEligwAElig5iquesteaacuteIacuteIumliquestWagrave0Iuml Ucirc sup1currenAacuteUgravesup1raquoiquestWfrac14raquoiEcirctimesTHORNFIumlWETHBAtildecedilOcirc5AumldOumlPAuml|Aringfrac12AumldAElig_] uacute4^ JUiquestk`currenatilderaquoifrac14UgravenAtilde5AElig_]WagraveAgraveAacutesup1AcircnAtilde(Agrave5AumldraquoLAacuteAuml|Aringcedil0Igrave(AumlUEcircAtilde5frac12AElig_aIumlx4~rv p4PldrRtcoPl|WpoundUop4PldWoqodshyiUrv pTumltutcod iquest ndivideUuacuteyUzndivide Iuml

aacuteUacutefrac14dfrac12frac12frac14|Ecircsup1ciquest~szlig0IumliquestedIuml]atildeUAtildeAacuteIcirc~sup1frac14raquoiquest~frac14draquoiEcircZIuml g Atilde5IgraveNtildeAringcedilsup1G] uacute4^z^ UiquestS`atildeUIcircifrac14OumlPAtilde$Igrave(AumlUEcircAtilde5frac12sup1raquo~ordm0Ccedilgsup1AacuteIcirciexclOgraveregcedilAuml|raquoLAacuteOumlcedilAumldOumlifrac14dordm|frac14EumlAacutesup1Aumldraquo13]nfrac14ampfrac12AtildeAcircnAtilde5frac12AEligwAtildeAacuteEgravefrac14Ouml~OumlcedilAumlnfrac14dAgrave4Icirc13aIuml xQ|||~pwld lnrRtcodampodsectgldrRrv p 9Pl| ~tu9ldP j ln4Utreg]vx4~rvu t not v i4v Iordf iquest uacute z yiuacute+r UIuml

aacuteUacutefrac14draquoAEligwAuml|Aringcedilsup1Riquestagrave0Iumlfrac14draquo~EcircdIumlb$Auml|raquocedil4frac14|EcircS] uacute_^J^J^ iquestlaquo`currenaacuteAumldAacutesup1AumldraquoAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo`Ccedilgsup1currenAacuteIcirceumlfrac12Atilde5AcircnAtildefrac120AEligwAtilde AacuteAElig_aIuml igraveraquo13]x4~rv p4PldrRtcoPl|=ov pwv P4vNtildeodUacutex4shyl not vsectEgravepwo4v tu not Iumlcb$AumldEacutePAtilde|iquestednfrac14dOuml~frac14draquoIuml

aacuteAuml|raquoLAacute4frac14dordmdraquoifrac14ZAacuteiquestdIumliquestziexcl0IumlTHORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquestdfrac14draquo~EcircoNtildeIumlZagravegfrac34Ufrac14dAgrave4Icirc~AtildeJ] dividedugrave|ugraveUuacute iquest` agraveOslashcedilAtildeAcircsup1AtildeCcedilaeligAumldOgravePEcircAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeAEligwAringcedilwOgraveufrac14dAgrave5AtildeAElig_]AacuteAuml|OumlPAuml|frac12Aumldordmdfrac34Liquestgordm|AtildeAuml|Igrave(AtildeAacutewcedilwfrac34frac14draquoiEcirc EcircAtildeOgraveuAumlcedilIgravefrac14Aacutesup1Auml|raquoSaIuml x4shyl not vtimesldiOacuteumltutcododshy~rRtreg not0Inot v uacute_qw iquestuacuteugravendivide+y~uacuteugravezq|ugrave Iuml

aacuteAring~IgraveOgraveregAumldcedil4Ecirciquest=THORNFIumlgfrac14raquoiEcircdIumlatildeIcirc~frac14dIcircS] uacute4^ ^ iquest`currenmiddotOumlAacutesup1Igravefrac14frac12$frac14dOumlOumlcedilAumlicircsup1Igravefrac14Aacutesup1Auml|raquoAEligEacuteLfrac34Oumlsup1AtildeAgrave5AtildeCcedilgsup1AEligwAtildetimesAEligwIgrave(AumlLAumlAacuteIcircOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligFfrac14raquoiEcircOslashfrac14dAEligwAEligwAumlLAgravesup1Yacutefrac14ZAacuteAtildeEcircaringAcirc|frac14Zcedilsup1Yacutefrac14ZAacutesup1Auml|raquoifrac14frac12EgraveOumlcedilAumldEacute~frac12Atilde5Igrave(AElig_aIuml odshyNtildeshyFU~tR4lrRtcod~oaeligsectEgraveUpvUacuteldiEgraveni tsvw j ldrreg~v shy(lrRtccurrenshyt iquest rzr4y xJ q Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfa

yenKbrvbarsect =4 acirc $ zmiddotAEligwIcirc~AtildecediliquestdatildePIumlfrac14draquo~EcircdIumlnatildeAtilde AacuteIcirc~sup1frac14draquoS] uacute4^ ziquest` eacutecedilAuml|raquoLAacuteAEligeOumlcedilAumldOumlifrac14ordmnfrac14Aacutesup1raquoordmCcedilgsup1currenAacuteIcircFAgrave5AringcedilAcirc|frac14ZAacuteAringcedilAtildeEumlEcircAtilde5OumlPAtilde5raquoiEcircAtilde5raquoLAacuteBAEligwOumlPAtildeAtildeEcircS]

agravefrac12ordm|Aumlcedilsup1AacuteIcircIgrave(AEligEacute~frac14dAEligwAtildeEcircaumlAuml|raquoiexclampfrac14Igrave(sup1frac12AacuteAumldraquoEumldnfrac14Agrave5Auml|Eacutesup1eacute~AumldcedilIgraveNtildeAring~frac12frac14Aacutesup1Auml|raquoSaIuml poundUodUp4Pl|oqiexcloshyiUrsldrRtcoPl|sect=U~tc ordfenot iquest uacutedivide4yEqE^ Iumlfefrac14cedil4frac14ordm|sup1Auml|AElig5iquestoNtildeIumlfrac14draquo~EcircIacuteszligyIuml]THORNampAtildecedilsup1Agrave4Icirc~AtildeJ] uacute4^z^J^ iquest`s[Atilde5AumlUEcircAtildeAEligwsup1Agravefrac14AgraveAacutesup1AcircnAtildeFcedilAtilde5ordmdsup1Auml|raquo~AElig$OgraveregAumldcedil0Igrave(AumldAacutesup1Auml|raquoTAtilde5AEligqAacutesup1Igravefrac14Aacutesup1Aumldraquofrac14draquoiEcircAacutewcedil4frac14dAgrave4UgraveUsup1raquoordmAaIumligraveiacuteraquoS] x4rv p ildrRtcodil|-ov pwv P4vFodOslashodshyiUrv paumlumltutco Iumleh=AumldcedilwOgraveregAringgt[cedilAtilde5Atilde5Agrave5Atilde|Iumlfefrac14AacuteAtilde5Aringicirc]iquestatilde]Iuml] dividedugravedugrave|ugrave iquestpound`currenatildeOuml~frac14Aacutesup1frac14dfrac12AEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoTAumldOgrave=Agrave5Auml|frac12Aumlcedilysup1Igravefrac14ordm|Atilde5AEligampfrac14dAgrave5Agrave5Aumlcedil4Ecircsup1raquo~ordmAacuteAumlUacuteaacuteTHORNaringOgraveregAumldcedilIgravefrac14dfrac12currenEumlsup1AEligwIgraveaIumlyigraveraquo13] x4~rv p4PlrRtcodPld=od5v pv i vodododpFtu pwl4UtcldPx4shyl not vysectpqo v tu not Iumlatildefrac14dsup1raquoLAacute UumleAacutesup1Atilderaquo~raquo~Atildediquestieacutecedil4frac14raquo~Agrave5AtildedIumlfcedilAtildeAgrave5sup1Auml|AEligwAumliquesteacute=IumlEgravefrac14raquoiEcirc aacuteIacuteIumlcurrenZEgravefrac14cedilfrac12frac14dAring~EcircS] dividedugrave|ugraveUuacute iquest` Z-EumliacuteatildeUOuml~frac12sup1raquo~Atildeaumlfrac14dAgrave Aacutesup1Acirc|AtildeOtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAEligOgraveregAumldcedilOgraveRfrac14AEligqAacuteAcircUsup1EcircAtilde5AumltimesAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIumlOacuteigraveraquo13] x4rv p ildrRtcodil|od5v pv P4vaeligod x4shy(l not vUacutesectpqo4v 4tu not IumlETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1Riquest[cedilAtilde5Atilde5Agrave5Atilde|Iuml

szligAumldraquoOgraveufrac14cedil4EcirciquestszligyIuml] uacute_^J^q iquest` szlig9Atilde5ordmdsup1AumldraquoEumlsEacuteifrac14AEligwAtildeEcircFAEligqAacutewcedil4frac14ZAacuteAtilde5ordm|sup1Atilde5AEligeOgraveuAumlcedil-frac14dAgraveAacutesup1AcircnAtildeEgraveAgraveAuml|raquoLAacuteAuml|AringcedilIgrave(AumlUEcircAtilde5frac12AElig_aIuml x4~rv p4PldrRtcoPl|poundUodUp il|WoqodshyiUrv paumlumltutco I v dividezw iquest divideddividez^+yUdivide uacute Iuml

atildefrac14Igrave(AEligwAuml|raquoiquestzhIumliquestzIumlzZ=frac12frac14raquo~AgraveEumleacuteAtildecedil4frac14AringiEcirciquestJ[NtildeIumldagraveAringEacutePAtildecedilwAacuteiquestfrac14draquo~Ecirc dIumlJregPAtildecedilAring~Eacutesup1frac14I] dividedugravedugrave|ugrave iquest` agrave frac12Atilde5Acirc|Atilde5frac12UAEligwAtildeAacuteIgrave(AumlUEcircAtilde5frac12nOgraveregAumldcedilsup1Igravefrac14ordm|AtildeAgrave5frac12frac14dAEligwAEligwsup1siAgravefrac14ZAacutesup1Auml|raquo13aIuml x4~rv p4PlrRtcodPldpoundUodUp4Pl|BoqNtildeodshyiUrv pOtildeumltreg4tRod shy v Ew iquest uacute r4y~uacute4^Er Iuml

atildefrac14raquo~ordmdCcedilgsup1raquoAtilde|iquest9atilde]IumlEgravefrac14draquo~Ecircszlig0IumlampiexclAumldcedilraquoAtilde v Atilde5EcircAElig5Iuml w ] uacute_^J^ Uiquest ~vIacuteo|odUpaumltushyl not vipqo4v 4tu not ldP|m4oo4uml Iumlh=Icircifrac14dOumlIgravefrac14draquodegmacriexclampfrac14dfrac12frac12RIumlatildeAtildeAacuteIcircsup1frac14draquoiquestdIumlplusmn] uacute4^z^|ugrave iquestU` oAringIgrave(Atildecedilsup1Agravefrac14dfrac12Ufrac14frac12ordm|Aumldcedilsup1currenAacuteIcircIgrave(AEligWOgraveuAumldcedilOumlcedilAuml|Oumlifrac14ordmnfrac14ZAacutesup1raquoordmsup1raquoLAacuteAtildecedilwOgraveRfrac14Agrave5Atilde5AElig_]Jiexclampfrac14dIgrave(sup1frac12currenAacuteAuml|raquoEumldnfrac14dAgrave5AumldEacute~sup1

AtildeecircLAringifrac14Aacutesup1Aumldraquo~AElig-frac14draquoiEcircAgraveAuml|raquo~AEligwAtilde cedilAcirc|frac14ZAacutesup1Aumldraquo(frac12frac14CcedilgAElig_aIuml poundUodUp4Pl|]oqEgraveyen$t lv pv rRtcl| voshyv rRp~ iquest uacute4Uuacutey~uacute x uacute IumlatildeAtildeAacuteIcircsup1frac14draquoiquestAdIuml] uacute4^J^ xiquest kWvndvB]v r j v rregod IumlcurrenhEgravefrac14dIgraveNtildeEacutecedilsup1EcircordmdAtilderaquosup1AcircPIumlAfecedilAtilde5AEligwAElig5Iumlatildesup1Ecirc~Ecircsup1ecircUsup1Riquest4bIumliquest_yenNtildeIumlBfrac14Aring~Ocirc5sup1Gsup2AtildecedilAtilde|iquestagraveyIumlETHWfrac14draquoraquo~Atilde5raquoUEacute~frac14dAring~IgraveUacuteiquest5frac14draquo~EcircNtildeatildePIumlregPAring~Agrave4UgravenAtildecedil4] uacute_^J^ xUiquestE`currenagravegcedilAtildefrac149frac14draquoiEcirc$frac12Atilde5raquoordmdAacuteIcircyIgrave(sup1raquoEuml

sup1Igrave(sup1Ocirc5sup1raquoordm sup3iAumlCcedilgAEliggOgraveuAumldcedilAEligwIcircifrac14OumlPAtildeyAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo13aIuml xQ|||~pwl~ lnrRtcodoOtildex4shyl not vsectEgravepwo4v tu notordf v Ew iquest qEz+yqzqE Iumlyen=AtildeOcirc5Ocirc5sup1RiquestagraveyIumliquest5agrave0Iuml5ETHEgraveAEligfrac14dsup1Riquestfrac14draquo~Ecirc$agrave0Iuml Ucirc sup1frac12frac12AEligwUgraveLfrac34] uacute4^z^J^ iquestJ` agraveaeligAEligqAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12Ufrac14dOumlOumlcedilAumlnfrac14Agrave IcircampAacuteAumlgAEligwraquo~frac14dUgravenAtilde5AElig]OgraveuAumlcedilWEacutesup1Igrave(AumlUEcircfrac14dfrac12frac14draquoiEcircAacutewcedilsup1Igrave(AumlUEcirc~frac14frac12isup1Igravefrac14dordmdAtildecedilwfrac34aIumligraveraquo13] x4rv p ildrRtcodil|eodv pwv P4vyodx4shyl not vgsectpqo v tu not IumlAb$AumldEacutePAtildednfrac14dOuml~frac14draquoIumlreg]IcircUAringiquest]atilde]Iumlfrac14raquoiEcircaumlagrave0Iumleyen=Aringsup1frac12frac12AtildeJ] uacute_^J^ xUiquestpound` szlig9Atilde5ordmdsup1AumldraquotimesAgrave5AumldIgrave(OumlPAtildeAacutesup1currenAacutesup1Auml|raquo13]iAring~raquo~sup1currenOgraveYacutefrac34sup1raquoordmiexclAEligwraquo~frac14dUgravenAtilde5AElig5iquestPcedilAtildeordm|sup1Auml|raquoTordmdcedilAumlCcedilgsup1raquo~ordmiquestfrac14draquoiEcircZEgravefrac145frac34LAtilde5AEligacute|aacuteTHORNOgraveregAumldcedilIgraveFAring~frac12currenAacutesup1Eacuteifrac14raquoiEcirc sup1Igravefrac14ordm|AtildeTAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo13aIuml xQ|||micro~pwld lnrRtcodtimesosect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4v Icent iquesteJ q+yU^dugrave|ugrave Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfo

i $amp)(+-)013021+345627893lt=gt9A6CBfrac12OcircacuteIshyNT

frac12OcircacuteIltNTpara frac12frac34EMeJaumlQcYZYZjJUacuteQsY H [ ^QEgraveJLhZJUO H QcN H J H MeJordfXiacute[]fcfR[WQcO[Oslash^e[]ZaringNPQsOXiacutejOb H QR[]ONPfdaringocirc|adOuml times jOcircaacute uuml times a2atildeltszligaumlgtszliglOuml times j atilde auml

G QsObnJ H MJeumlYZJ H [SXIacuteNPfcfUacute^e[]ZaringNPQsOYMNPY Oe[ H N Y H hjb H jhZJ`[SXUPJUb H [PhQcNPfOtildeYZKNPbnJSefRJ H jYZ N`PJ H MeJeumlhZJ[]QR[]OYJUP[]fVUPJ H MehZ[]j[]M NrXqNSZaringQcfVm [SX H hNPOYYX[PhlZ N H QR[]OYa(|aagraveszlig jj emiddot iacuteaumlYlZOslash[[ H MaNPO^ centQ ~JUb H QVUPJS^ not [PhNOslashKEgrave[]QcO H $ aacute atildeshyszligaumlN eFWFJTOe[ H JSaring$ aagravej|aacutemiddot|aagraveszlig $ j WiexclQ H M |a s szlig $ jaacute $OumlcopytimesaagravejOcircaacutemiddot|aagraveszliglOumlutimesdj WiexclQ H M |a s szliglOumlcopytimesAjOcircaacuteAumlOumlutimes9J H jY H MeJUO^JOeJ H MeJordfUPJUfR[WbLQ H moUPJUb H [PhdY JUfs^kfrac12 YZjbM H MN H aringfrac12sup1aagraveszlig $ aagravejj|aacute aelig |aelig agrave aagraveszlig $ j YlaquoXiacuteNiharingNPY H MeJ bn[]ZOslashKj H N H QR[]O[SX H MeJ ^eJLhQU~N H QVUPJ QcYOslashbn[]ObnJLhOeJU^OeWFJNihZJQcOWVH JLhZJUY H JU^ QcO YYZaringNPfcfOtilde^JX[PhlZ N H QR[]OY^ J H MBjYJkWKNPO^ H MeJ H hNPOYX[PhZaringN H QR[]ONPbLbn[Ph^QcO[ H [hdY H [Ph^eJLh NmWfR[PhyacuteXiacute[PhlZtimesjfcNaring|aagraveszlig $ jpoundaacuteAElig|a s szlig $ j agrave aelig |aelig agrave a s szlig $ jaacute $ ragrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacute frac14 frac14 a s szlig $ j^ J H MeJUOQcO H hZ[W^jbnJ H MehZJLJgZ NPQcO^eJOQ H QR[]OYaringf^QMeJg0jfRJLhQcNPO^eJLhQU~N H QVUPJOtilde[SXocirc|adOuml times jordfaqQcO H MeJIacute^QRhZJUb H QR[]O[SXcedilfrac12jaring ocirc|adOumlcopytimesszlig_frac12jOcircaacutefcQZUcedil iacute ocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave admacrfj ^QMeJgZaringN H JLhQsNPfg^eJLhQVUiN H QVUPJOtilde[SXuumlStimesYa $ szliglOumlcopytimes)jaringsup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j|aacutefcQZUcedil iacute uumlStimesa $ ragrave3frac12ba $ jszliglOumlutimes agrave3frac12sup1a $ jj uuml]timesa $ szliglOumlcopytimesdjagrave admacr j^QMeJaumlYZMNiKEgraveJOtilde^eJLhQU~N H QVUPJOtilde[SXOcircuuml]timesa $ szliglOumlutimes)jaring

uumlnotraquotimes a $ szliglOumlcopytimesUcircszlig_frac12 jaacutefcQZUcedil iacute uumlStimesYa $ szliglOumlutimesragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave admacrS]j

uumlnyacutenthornnyumll13YSordmY_Fordfy

yenKbrvbarsect =4 acirc $ hq centUWQR[]jYZfVmSe-centmaJkBKNPO^QcO[ admacr jUacuteNPbLbn[Ph^QcOF[ H [hdY H [Phd^eJLhordfNmBfR[PhordfXiacute[PhlZtimesjfcNeWFJaumlMNUPJSaring sup1uumlStimesYa $ szliglOumlcopytimesUcircszlig_frac12 jaacuteAumluumlnotraquotimes a $ szliglOumlcopytimesszlig_frac12jhuumlStimesa $ szliglOumlcopytimes)j frac12sup1a $ j admacrj J H MeJUOabn[]ZOslashK-j H JZOslash[PhJaumlKhZJUbLQcYZJUfVm H MJ0jfRJLhQcNPO ^eJLhdQVU~N H QUPJauml[SXcopyocirc|adOumlcopytimesdj^ JMNUPJSaringocircOcircadOumlutimesaagravejj ocircOcircadOumlutimes)jagrave aacute fagrave = thorn yuml uuml times a $ aagravejszliglOuml times aagravejj $ uuml times a $ szliglOuml times j $ FH admacrSmacr]j5O H MJohY H QcO H J[PhdNPfdeltWFJZaringN`PJ H MeJU~NihdQcNicentfRJ bMNPO[PJ $ aagravejaacute $ agrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacuteethicirc7a2atildeshyszligaumlFjszligicirc cent a2atildeltszligaumlj eWMQcbdM[]QVUPJUYaring thorn yuml uuml]timesYa $ aagravejszliglOumlcopytimesYaagravejj $ aacute admacrS]j

5 uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlutimes agrave3frac12sup1a $ jjlt^eJ H ocirc a $ jlt $WMJLhZJocirc a $ jQcY H MeJgXiacute[]fcfR[WQcO[aringSNPbn[PcentQcNPOtZaringN H hdQkKaring

ocirc a $ jaacute oacute fcedilxagrave frac14 iacute oslashfrac14Uordm agrave frac14 iacute oslashfrac14 ugraveagrave frac14 iacute acircfrac14ordm fcedil agrave frac14 iacute acircfrac14 ugrave ocircNPO^ YZ[eFWNtildeJIacuteMNUPJSaring

^eJ H ocirc a $ jOcircaacute fUragravee^QVUKafrac34frac12sup1a $ jjragrave cent ^eJ H amacr frac12sup1a $ jjMJUOWNtildeJauml[Pcent H NPQcOOaring

fsQZcedil iacute ^eJ H ocirc a $ j fagrave aacute ^QVUKafrac34frac12sup1a $ jj admacr]zSjMJJBjN H QR[]OxadmacrSmacr]j H MeJUOcent=JUbn[]ZaringJUYaringocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave aacute fagrave middot uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jjlt 13raquo ocirc a $ jlt $ uumlStimesa $ szliglOumlcopytimesAj $ admacrSi]j JTbLNPO`YZjeKKEgrave[]YJ H MN H ^eJ H aocirc a $ jjfrac14aacute sfrac12 agrave frac12 $ ^ JZaringNm H MeJUO H N`PJ^eJ H aocirc a $ jjfrac34 s eNPO^ WNtildeJ ^eJUPJUfR[PK H MeJaJkWKhZJUYYZQR[]OadmacrSi]j NPYoX[]fsfR[WQsO[centmNP^^QcO[aringN H JLhZ QcO H MeJIacuteYZJUbn[]O^aQcO H J[PhNPfltWMQcfcJaumlYZjeKKhJUYZYZQcO[ H MeJtimesYZNSZOslashJ H JLhlZQcO H MJordfhY H QcO H J[PhNPfdaring ocirc|adOumlcopytimesYaagravejj ocirc|adOumlcopytimes)jagrave aacuteegraveOtildef1rOtilde cent admacrSh]j

uumlnyacutenthornnyumll13YSordmY_Fordf

s $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJSaring

Otilde aacute uuml]timesa $ ragrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave ^eJ H aocirc a $ jj $ ad s jOtilde cent aacute uuml]timesa $ szliglOumlcopytimesdj ^eJ H aocirc a $ jj fagrave $ adfj

9J H jY_ZaringN`PJordmagrave H JUO^ H [WNih^Y s ^curreniquestYZQcO[frac34admacrjiexclNPO^JOQ H Qc[]OYadmacr e macrS]jeWFJ[PJ H aringfcQZUcedil iacute Otilde aacute sup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j $

aacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ uuml times a $ szliglOuml times j frac12sup1a $ j $fcQZUcedil iacute Otilde cent aacute uuml]timesa $ szliglOumlcopytimesdj^QVUKafrac34frac12 j $

O^ Y[Xiacute[Ph H MeJgNtildejfRJLhQsNPO ^eJLhQVUiN H QVUPJSeWFJgO^Oaring ocirc|adOuml times szlig_frac12jumlaacuteyacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ amacrreguumlStimesYa $ szliglOumlcopytimes)j frac12sup1a $ j7 uuml]timesYa $ szliglOumlcopytimes)j^QVUKafrac34frac12sup1a $ jjj $aacute uumlnotraquotimes a $ szliglOuml times szlig_frac12j $ ^QVUKaduuml times frac12j $ ad j

MeJUO NiKKfVmWQcO[ H MJ hJLJUOWVAQRJZ NPOO H MeJL[PhZJZQcO ad jeWNtildeJ5ONPfcfmtimes[Pcent H NPQcOOaring ocirc|adOumlcopytimesszlig_frac12jOcircaacute uuml raquotimes a $ szliglOumlcopytimesUcircszlig_frac12j $ uacutefrac14 5 uuml]timesYafrac34frac12 eacuteAgraveiquestsup1AacuteAtildeAcircj THORN adS]jWMJLhZJ5eacuteAgraveiquestsup1AacuteAtildeAcircyQcY H MeJUacutejOQ H QcOOgraveWNih^ Oe[PhlZaringNPf H [ aelig OumlcopytimesUcirc^MeJ_NtildejfRJLhQcNPO ^eJLhQVUiN H QVUPJQcY(O[ H JU^ ocirc raquo aagravej(QcO H MeJaumlKNiKEgraveJLhNPO^ H MeJaumlYZMNiKEgraveJauml^eJLhQU~N H QVUPJyuuml raquotimes QcY(Oe[ H JU^ frac14 frac14 ^iquest acutemicrosup1cedilFLft not [PhyYQZOslashKfcQsbLQ H mSeWNtildeJ(bM[[]YJ H MeJcopyXiacute[]fcfR[WQcO[_U~NihQsN H QR[]OaeligQcO H MeJKhZ[B[SXaring$ aagravejaacute $ agrave3frac12sup1a $ j^MJiexclKh[[SXZaringNm NPfcYZ[IacutecentEgraveJiexcl^JUPJUfR[PKEgraveJU^WiexclQ H MZaring[PhZJ_[PJUOJLhNPfUiNihQcN H QR[]OYFYjbM NPYaring $ aagravejaacuteAacuteAgravea $ szligYagravejWQ H MAcircAgrave`NOslashYYZOslash[B[ H MXiacutejOb H QR[]ONPO^AcircAgravea szligYagravejcentQ ~5JUb H QVUPJS^

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ ffrac12OcircacuteIshyNT AcircE J(MNUPJ H [Otildebn[]ZOslashK-j H J H MJNtilde^QEgraveJLhZJUO HH JLhZaringY9[SXQa macr]j9QsOauml[Ph^eJLh H [Uacute[Pcent H NPQcO H MeJ

JUP[]fcj H QR[]OJBjN H QR[]O[SX H MeJ NPb H QUPJ bn[]O H []jehX[Ph H MeJ ^JUYZbnhQRK H [PhdYaumlcentNPYJU^Oacute[]OH MeJ(bn[U~NihQsNPObnJ ZaringN H hQVktimes^eJ H JLhlZ QcONPO H a2Ograveh]j^OgraveMeJ(bn[]ZOslashKj H N H QR[]OaringQcYampKEgraveJLhYXiacute[PhlZOslashJU^Xiacute[Ph H MeJIacute^eJUYZbnhQRK H [Ph_uuml thorn timesOslash yuml ^ q centUWQR[]jYZfmSeN YZQZ QcfcNihbn[]ZOslashKj H N H QR[]OabLNPOacent=JIacute^e[]OeJXiacute[PhOcircuuml thorn UgraveUcircUacuteUuml yuml ^ JiexclbLNPOaeligJkBKhJUYZYOcircuuml thorn timesOslash yuml NPYyNUacutebn[]ZTcent-QcON H QR[]Oaelig[SXgtXiacutejOb H QR[]OYamp^eJLKEgraveJUO^QcOF[[]O H MJOtildehZJ[]QR[]OwOuml timesOslash aring

uumlgtthorn times Oslash yuml a2atildeltszligaumlgtszligYagravejaacute`Ograveoacute m thorn timesOslash yumlaIgraveagrave thorn timesOslash yumlAtilde j cent ocirc adjWMJLhZJordmaacuteAuml85eWiexclQ H MAring8 H MeJordfXqjOb H Qc[]O QcO H h[B^jbnJU^ QcOpounda2Ograveh]je-NPO^aringm thorn timesOslash yuml aacute agrave thorn timesOslash yuml agrave thorn timesOslash yumlcent agrave thorn timesOslash yuml agrave thorn timesOslash yumlAElig agrave thorn times Oslash yumlCcedil agrave thorn timesOslash yumlEgrave agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlEgrave j cent agrave thorn times Oslash yumlcent aIgraveagrave thorn timesOslash yumlCcedil j cent agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlAElig j centWQ H MOaring EFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFH

agrave thorn timesOslash yuml aacute w$ thorn yuml aOtilde S times Oslash j cent atilde aumlagrave thorn timesOslash yumlcent aacute w$ thorn yuml aOtildeOgravecent Scenttimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yuml aacute w$ thorn yuml aOtildeS Stimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yumlAElig aacute w$ thorn yuml aOtilde S times Oslash jaOtildeOgravecent ScenttimesOslash j atilde aumlagrave thorn timesOslash yumlCcedil aacute w$ thorn yuml aOtilde S times Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlEgrave aacute w$ thorn yuml aOtilde cent S centtimes Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlAtilde aacute w$ thorn yuml atilde auml O^ Y[ H MJordfXiacutejOb H QR[]OY aelig thorn timesOslash yumlauml MNUPJ H MeJgXiacute[]fcfR[WiexclQcO[aeligJkBKhZJUYZYZQR[]OYaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

aelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlcent aacute aOtilde cent S centtimesOslash j centaelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlAElig aacute aOtilde S timesOslash jaOtilde cent S centtimesOslash jaelig thorn times Oslash yumlCcedil aacute aOtilde S timesOslash jaOtilde S timesOslash jaelig thorn times Oslash yumlEgrave aacute aOtildeOgravecent ScenttimesOslash jaOtilde13 StimesOslash jaelig thorn times Oslash yumlAtilde aacutemiddotf

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBnot h[]Z H MeJUYJaumlJkWKhZJUYYZQR[]OYeWFJOtildeJUNPYZQcfm ^eJU^jbnJ H MN H aring

$ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde aumlregaacute sEacutefrac12poundEcirc iuml

J H MeJUO MNUPJ H [Tbn[]ZaringKj H J H MeJ H JLhlZaringY eacute thorn times Oslash yumlauml XiacutehZ[]Z H MeJJkWKhZJUYZYQR[]OYamp[SXagrave thorn timesOslash yumlauml eWMQcbM fRJUNP^Y H [aringEFFFFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFFFFH

eacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideoslash aacute w$ thorn yuml uacute ouml $ordfdivideacirc uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIgrave yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H a timesOslash jjeacute thorn timesOslash yumlcent aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideacirc

aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIcirc yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideEuml aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideacirc thorn thorn uacute ouml $_divideIuml yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yumlAElig aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIuml aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideEuml uacute ouml $ordfdivideIuml thorn uacute ouml $_divideIcirc uacute ouml $ordfdivideIgrave yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlCcedil aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIcirc aacute w$ thorn yuml cent thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideacirc uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlEgrave aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIgrave aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideoslash uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlAtilde aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIacute aacute w$ thorn yuml thorn +ETH ouml $_dividethorn uacute ouml $ordfdivideIacute yuml Iuml 8 raquo aq^J H a timesOslash jj

O^centmJkWKhZJUYZYZQsO[ H MeJbn[UiNihQcNPObnJZaringN H hQVkpoundWQ H M H MJregXqjOb H QR[]OYagrave thorn timesOslash yumlauml NPYXiacute[]fcfR[WQcO[aring

timesOslashlaquoaacute 1NtildeNtildeNtildeNtildeNtildeNtilde3uacute ouml $ordfdivideoslashuacute ouml $ordfdivideIacute uacute ouml $_divideIumluacute ouml $_divideIacute uacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIumluacute ouml $ordfdivideIacute uacute ouml $_divideacircuacute ouml $_divideIacute uacute ouml $ordfdivideIgraveuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacute uacute ouml $_divideIgraveuacute ouml $_divideIacute uacute ouml $ordfdivideEumluacute ouml $ordfdivideIacute

6OgraveOgraveOgraveOgraveOgraveOgrave7 J H MJUO^eJU^jbnJSaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

eacute thorn times Oslash yuml aacute a fj thorn yuml ^eJ H aDC Ptimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlcent aacute a fj thorn centcent yuml ^eJ H aDC centcenttimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yuml aacute a fj thorn curren yuml ^eJ H aDC 4times Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlAElig aacute a fj thorn cent yuml ^eJ H aDC centtimes Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlCcedil aacute a fj thorn curren yuml ^eJ H aDC times Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlEgrave aacute a fj thorn centcurren yuml ^eJ H aDCcent4times Oslash j48 raquo aq^eJ H a timesOslash jjeacute thorn times Oslash yumlAtilde aacute amp^eJ H a timesOslash j48 raquo aq^eJ H a timesOslash jj

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ SWMJLhZJC EBtimesOslash QcY H MeJgZaringN H hdQk ^eJU^jbnJU^Xh[]ZOacutetimesOslasharingcentm YZjeKKhZJUYZYZQcOF[ H MeJyuuml UumlON hZ[WNPO^ H MJ I UumlON bn[]fcjFZaringOO^]MeJbn[]ZOslashKj H N H Qc[]OordmX[Ph H MeJ^eJUYZbnhdQRK H [Ph|uuml thorn UgraveUcircUacuteUuml yuml QcYyYQZaringQcfcNihNPO^WFJ H MeJUOOslashMNUPJNPfcf H MeJ(JkWKhZJUYZYZQc[]OY H [aumlbn[]ZOslashKj H J H MeJJUP[]fcj H QR[]OaeligJjN H QR[]OXiacutehZ[]Z H MeJg[PJUOJLhNPfOXiacute[PhlZIacutejfcNta macr]j^gtMQcYcopy[]QVUPJUY H MeJTJUP[]fcj H QR[]O JBjN H QR[]Osup1admacr s j^

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBΩ out

Objects

Γ

inΩ

inΩ

Background Part

-t not Upv copy ETHEgraveIcircAtildeampAacuteiacuteCcedil=AumlFcedilAtilde5ordm|sup1Aumldraquo~AElig9AumldOgravefrac14raquoUacutesup1Igravefrac14dordm|Atilde

Ω

Ω out (τ)Ω

(τ)in

N

Γ(τ)

Ω

N

v

w

N

-t not Upv ETHEgraveIcircAtildeyEcircAumldIgravefrac14dsup1raquo~AEliggfrac14raquoiEcircAacuteIcircAtilde$AcircnAtilde5AgraveAacuteAumlcedilAEliggsup1raquoUAcircnAumldfrac12AcircnAtildeEcircsup1raquoiexclAacuteIcirc~Atilde$EcircAtildecedilsup1Acirc|frac14ZAacutesup1Aumldraquo

uumlnyacutenthornnyumll13YSordmY_F2ordf

yenKbrvbarsect =4 acirc $ Smacr

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 Atilde|IumligraveAacuteAtildecedil4frac14ZAacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvyzU eacuteWsup1ordm|AringcedilAtilde5AEligfrac14iquest Eacuteiquest AgraveJ]iUumlAcircnAumldfrac12AringAacutesup1Auml|raquoOtildeAumlOgraveeAacuteIcirc~Atildeyfrac14dAgrave Aacutesup1Acirc|Atilde0AgraveAuml|raquoLAacuteAuml|AringcedilIgravefrac14raquoifrac14ordm|AtildeEcircUacuteEacuteLfrac34AacuteIcirc~AtildefTHORN$Uuml v qzqwsup1raquo~Agrave5frac12AringiEcircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquoifrac14frac12ampAacuteAtildecedilIgrave(AElig5IumlgeacuteWsup1ordm|AringcedilAtilde5AEligOtildeEcirc]iquest Atildediquest Ograve] g sup1AEligwAringifrac14frac12sup1Ocirc5frac14Aacutesup1Auml|raquo`AumldOgrave0AacuteIcirc~AtildeTAgrave5AumldcedilwcedilAtilde5AEligwOumlPAumldraquoiEcircsup1raquoordmAcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 OgraveuAring~raquoAgraveAacutesup1Auml|raquosup1raquo~Agrave5frac12Aring~Ecircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquo~frac14dfrac12ampAacuteAtildecedilIgrave(AEligraquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirc EacutePAtildeAacuteiacuteCcedil=Atilde5Atilde5raquo ugrave frac14draquoiEcirc divide JUiquestAEligwAring~Agrave4IcircTAacuteIcirc~frac14Aacute$AacuteIcircAtilderaquo~Atilde5ordm|frac14Aacutesup1AcircnAtildeAcircdfrac14dfrac12AringAtilde5AElig0frac14cedilAtildefrac12AumlCcedilEgraveAtildecedilyAacuteIcirc~frac14draquo uacutedivide Uacutefrac14raquoiEcircaumlAacuteIcirc~AtildeOumlPAumldAEligwsup1Aacutesup1AcircnAtilde(Aumldraquo~Atilde5AEligyfrac14ZcedilAtilde(Icirc~sup1ordm|IcircAtildecedilAacuteIcircifrac14raquo uacuteZdivide Iuml

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

Ecirc]Iumligraveraquo~sup1currenAacutesup1frac14dfrac12BAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 Atilde|IumligraveAacuteAtilde cedil4frac14Aacutesup1Auml|raquo ugravedugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not Upv ucirc eacuteWsup1ordmdAringcedilAtilde5AEligtimesfrac14iquest Eacuteiquest AgraveJ]ampUumlAcirc|Auml|frac12AringAacutesup1Auml|raquoAumlOgrave(AacuteIcirc~Atildearingfrac14AgraveAacutesup1AcircnAtildeOslashAgrave5Auml|raquoLAacuteAumldAringcedilIacuteIgravefrac14draquoifrac14ordm|AtildeEcirc`EacuteUfrac34AacuteIcircAtildeOcircfTHORN$Uumlv q w iquestiexclCcedilgsup1currenAacuteIcirc~AumldAringAacuteAacuteIcirc~Atildefrac14dEcirc~Ecircsup1Aacutesup1Aumldraquoifrac14dfrac12TAacuteAtildecedilIgrave(AElig5IumliexcleacuteWsup1ordm|AringcedilAtildeAElig Ecirc]iquest Atildediquest Ograve] g sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo AumlOgraveaeligAacuteIcirc~AtildeAgraveAumldcedilwcedilAtildeEumlAEligwOumlPAuml|raquo~Ecircsup1raquo~ordm AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 OgraveregAring~raquo~Agrave Aacutesup1AumldraquoeumlCcedilgsup1currenAacuteIcirc~Auml|AringAacuteIacuteAacuteIcircAtilde frac14|Ecirc~Ecircsup1currenAacutesup1Aumldraquoifrac14frac12FAacuteAtildecedilIgrave(AElig v raquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirceumlAEligwAring~Agrave4Icirc AacuteIcirc~frac14AacuteIgravefrac14icirc vOOtilde wpOumldivide z w Iuml

uumlnyacutenthornnyumll13YSordmY_F2

S $amp)(+-)013021+345627893lt=gt9A6CB

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIumligravesAacuteAtildecedil4frac14Aacutesup1Aumldraquogt ugrave|ugrave AgravedIumlieacuteWsup1raquoifrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12Acirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 AtildedIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIumlieacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvtimesLg sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo(AumldOgravePAacuteIcirc~AtildeAtildeAcircnAuml|frac12AringAacutesup1AumldraquoAumldOgravePAacuteIcircAtildeEgraveAgrave5Auml|raquoLAacuteAumldAringcedil-frac14draquo~EcircNtildeAacuteIcirc~AtildeEgraveAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 v Ccedilgsup1AacuteIcircAuml|AringAacuteAacuteIcircAtildeEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircFAacuteAtilde cedilIgrave w OgraveregAumldcedilEgraveAacuteIcircAtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoAumlOgraveAacuteIcircAtilde9Ograveufrac14dAgrave5AtildeAring~AEligwsup1raquo~ordmyAacuteIcirc~Atilde9Agrave5AumlZAcirc|frac14Zcedilsup1frac14draquo~AgraveAtildeIgravefrac14Aacutewcedilsup1currenicirc]Iuml

frac14Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcircnAtilde EacuteIumligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 v AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde w Agrave|Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacutefrac34 v Acircdfrac14cedilsup1frac14draquoAgrave5Atilde w-t not Upv h=AumldIgrave(Oumlifrac14cedilsup1AEligwAumldraquoOtildeAumldOgraveAacuteIcirc~Atilde$sup1raquo~sup1currenAacutesup1frac14dfrac12eAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34iexclAgrave5Auml|Igrave(OumlAringAacuteAtildeEcircAringAEligwsup1raquo~ordmAacuteIcirc~Atilde$AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde0Igravefrac14Aacutewcedilsup1currenicircv iordmdAringcedilAtildeFEacute w AacuteAumliexclAacuteIcircAtildeAuml|raquoAtildeFAgrave5AumldIgrave(Ouml~AringAacuteAtildeEcircTAringAEligwsup1raquo~ordmiexclAacuteIcircAtildeFAcircdfrac14cedilsup1frac14draquoAgrave5Atilde v ~ordm|AringcedilAtildeFAgrave w OgraveregcedilAumldIgrave AacuteIcirc~AtildeNtildeAEligfrac14dIgrave(Atildesup1raquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcirc|Atilde v iordmdAringcedilAtilde$frac14 w Iuml

uumlnyacutenthornnyumll13YSordmY_F2_a

yenKbrvbarsect =4 acirc $ ]z

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv Oslash| THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5AtildeccediliacuteAtildecedilsup1UgraveUegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_o

Si $amp)(+-)013021+345627893lt=gt9A6CB

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv ordf THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5Atildeccedilqfrac14dUgraveUsup1currenfrac34LAumldegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_y

RR-0114-SJEHANpdf
  • wwwi3sunicefr
    • httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf
Page 19: LABORATOIRE INFORMATIQUE, SIGNAUX ET SYSTEMES DE …mh/RR/2001/liste-2001.pdf · 2002. 6. 27. · [Dir01] DIRAT L. “Outils pour des Mathématiques Interactives et Distribuées”

yenKbrvbarsect =4 acirc $ hf^ltO H hZ[W^jb H QR[]O[SX$NOslash^mWONSZaringQcbLNPfYbMeJZOslashJSaring JTYJUNihbdMX[Ph H MeJOtildeKNih H Q H Qc[]O[SX H MeJaumlQZ N[PJadOumlcopytimesOslashszliglOuml UgraveUcircUacuteUuml szligYYacutejWMQcbdMZaringQcOQuVZaringQVcurrenLJUY H MeJbnhQ H JLhQR[]Oocirc|adOumlcopytimesOslashgtszliglOuml UgraveUcircUacuteUuml szligYYacutej^eJUYZbnhQRcentEgraveJU^aeligQcOa2j^ MQcfRJNPYZYZjZaringQcO[

H MN H NPO`[PK H QZaringNPf9KNih H Q H Qc[]O JkWQsY H Ye H MJTQcYZYZjJTQcY H [ bn[]ZOslashKj H J H MQcYiexclY[]fcjWVH QR[]OO^ G QsObnJ H MeJ YJ H [SX(NPfcfy^e[]ZaringNPQsOYaumlMNPYIacuteOe[ H NaY H hjb H jehZJOslash[SXcopyUPJUb H [PhQsNPfYKNPbnJSeQ H QcYauml^Qz bLjf HUacuteH [abn[]ZOslashKj H J H MeJ ^eJLhdQVU~N H QUPJOslash[SX H MJ bnhQ H JLhQc[]ONPb|Vbn[Ph^QcO[ H [ H MJ^e[]ZaringNPQsOY^_[ bLQchbLjFZUPJUO H H MQcY`KhZ[PcentfcJZeyacuteWFJNiKKfmN H hNPOYYX[PhlZ N H QR[]O| H [ JUNPbM^e[]ZaringNPQsOOeYZjbdM H MN H Q H centEgraveJUbn[]ZOslashJUY`bn[]OWVH QcOj[]jYZfVm^eJLKEgraveJUO^eJUO H []O NPO JUP[]fsj H QR[]O KNihNSZOslashJ H JLhagrave^MeJ`bnhQ H JLhQR[]Ocent=JUbn[]ZaringJUYT^eJLKEgraveJUO^eJUO H []Obagravearingocirc|aagravejgaacute ocirc|adOumlcopytimesOslashaagravejszliglOuml UgraveUcircUacuteUuml aagravejszligYYacuteaagravejj^QO H MQcY^mBONSZaringQcbLNPfTYbMeJZOslashJSeiexclWFJ bLNPO hJUNP^QcfVm H N`PJQcO H [ NPbLbn[]jO H N K=[]YYZQRcentfRJU~NihQsN H QR[]O[SX H MeJ ^eJUYZbnhdQRK H [PhYWQ H M H MeJJUP[]fVUWQcO[ hZJ[]QR[]OYk|adOuml times j aacuteOumlcopytimesaagravej^

^QiexclJLhdQVU~N H Qc[]O [SX H MeJaumlbnhQ H JLhQc[]O jYZQcO[OslashYZMNiK=JOtilde[PK H QZaringQVcurrenUN H QR[]O H MJL[PhZJZaringYaringMeJNtildebnhdQ H JLhQR[]OocircOcircaagravej9QcY H MeJUOIacute^JLhQVUPJU^TNPbLbn[Phd^QcO[ H [5agrave H MNPO`WY H [ H MeJFbn[]ZaeligVKj H N H QR[]Oeuml[SX H MeJ0jfRJLhQcNPOeuml^eJLhQU~N H QVUPJaelig[SX_ocircjYZQcO[YZMNiKEgraveJaelig[PK H QZ QVcurrenUN H QR[]OKhQcObLQcKfRJUYeOWMQcbMQcYIacuteOJWQsO H MeJNihZJUN [SXNPb H QVUPJ bn[]O H []jehY^$ YXqNihOslashNPYH MeJF^JLhQVUiN H QR[]OTQcYbn[]ObnJLhOeJU^e H MeJU~NihdQcN H QR[]OIacute[SX H MeJF^JUYZbnhQRK H [PhdYWQ H M H MeJJUP[]fVUBQsO[OslashhZJ[]QR[]OY_Oumlcopytimesaagravej(NPO^Y[ordmWQ H MagravetZIacutejY H centEgraveJ H N`PJUOaQcO H [aringNPbLbn[]jO H ^

^vF[]ZOslashKj H N H Qc[]O [SX H MJaumlJUP[]fcj H QR[]OJjN H Qc[]OXh[]Z H MeJauml^eJLhQU~N H QVUPJSaringnot hZ[]Z H MeJNtilde^JLhQVUiN H QVUPJSeWFJNtilde^eJU^jbnJ H MeJUPJUfR[WbLQ H mordfUPJUb H [Ph$[SX H MeJFNPb H QVUPJbn[]OWVH []jeh H MN H WiexclQcfcfZaringN`PJQ H JUP[]fUPJiexclNPYXqNPY H NPY$KEgrave[]YZYQRcentfRJ H [WNih^YNtildeNgZaringQcOQCZIacutejFZ[SX H MeJOtildebnhQ H JLhdQR[]OO^ObLNPYJUacute[SX9hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhYe H MeJUacuteJUP[]fcjWVH QR[]OeumlJjN H QR[]Oeuml[SX H MJaringNPb H QVUPJaringbn[]O H []jhTQcYOtilde^QEgraveJLhZJUO H XhZ[]Z H MJtimes[]OJaringbn[]ZaeligVKj H JU^ Xiacute[Ph hZJ[]QR[]OWV4QcO^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhY^ G []ZOslashJ`NP^^Q H QR[]ONPf H JLhZaringYNiKKEgraveJUNihiexclNPO^`Y[ Q H QcY[SX$KhdQZOslashJaumlOeJUbnJUYZYQ H m H [bn[]OYZQc^JLh H MeJ H WNtilde[o`WQcO^Y([SX^eJUYZbnhQRK H [PhY(YJLKNihN H JUfmS^

9J H jYFOe[ H J H MN HFH MQcY[PJUOeJLhNPfKXiacutehNSZOslashJWF[PhY` bLNPO centEgraveJNiKK-fcQRJU^ H [ordmZaringNPOm ^QEgraveJLhVJUO H NiKKfsQcbLN H QR[]OYcentm[]OfVmbMNPO[]QsO[ H MeJT^eJUYbnhQRK H [PhY^ H MNPYcentEgraveJLJUOOe[ H NicentfmNiKK-fcQRJU^ H [ordmZOslash[UBQsO[aelig[Pcent~5JUb H Y(^J H JUb H QR[]O QcOoUBQs^eJL[timesYZJjeJUObnJUY(NPbjQchZJU^ JUQ H MeJLhWQ H MN Y H N H QcbawS]JUMNPOWV4XFJUYZY[]O J H NPfd^Ve sSs fLbjiexcl[PhUacuteNregZOslash[Pcent-QcfRJTbLNSZOslashJLhdNawS]JUMNPOWVXFJUYZY[]O J H NPf)^Ve sSs fncentj^ JUYZbnhQRK H [PhdYoZ Nm NPfcY[centEgraveJ YJBjeJUO H QcNPfcfVm jYJU^ H [QZaringKhZ[UPJ H MeJu-ONPfBhZJUYZjf H NPYyQ H MNPYampcentEgraveJLJUOaeligKh[PK=[]YZJU^timesQsOtawSPJUMNPOWV4XFJUYZYZ[]OOslashJ H NPfd^VesSs fLNOgravej^^f^~OacuteETHEgraveKEacute18=KETH32EacuteltOacuterEacute0frac34Ntilde83ltOacuteONtildeshyIacute=gtNtildeshyEumltIcirc=39IgraveFIacute5Igrave O QZaringN[PJumlOtildegta2atildeltszligaumlj QcYNxXqjOb H QR[]O ^eJOJU^ Xiacute[Phpounda2atildeshyszligaumlFj OumlOcirccenteuWMeJLhZJOumloslashQcY H MeJ QZaringN[PJ ^e[]ZaringNPQcOO^ltMeJ QCZaringN[PJ ^e[]Z NPQcOQcYIacutebn[]OYZQc^eJLhJU^ H [ cent=JZaringNP^eJjeK`[SX H WF[KNih H Ylaquoa not Q[^fjaring H MJyXiacute[PhZJ[PhZ[]jO^`KNih H bn[]O H NPQsOQcO[ H MeJT[Pcent~JUb H Y H [

uumlnyacute|thornLyuml13

f s $amp)(+-)013021+345627893lt=gt9A6CBYJ[]ZaringJUO H e=Oe[ H JU^frac34OumlcopytimesOslashFe-NPO^ H MeJaumlcent-NPbY`[PhZ[]jO^aKNih H Oe[ H JU^Ouml UgraveUcircUacuteUuml ^MeJauml^QcYZbn[]OWVH QcOBjQ H m`YJ H QcYOtildeNbLjehlUPJ Oe[ H JU^bYacute H MN H ^JOeJUY H MeJ cent=[]jO^NihYmcentEgraveJ H WNtildeJLJUO H MeJH WNtilde[ ^[]ZaringNPQcOY^ J H MJUOaYJUNihbdMtXiacute[Ph H MeJ H WNtilde[^e[]ZaringNPQsOYyacuteOuml UgraveUcircUacuteUuml NPO^wOumlutimes OslashWMQcbdMtZaringQcOQZaringQVcurrenLJ H MeJbnhQ H JLhQR[]Oocircuml[]QVUPJUOcentmumla2jehZJZaringQcO^eJU^ MeJLhZJSaring

ocirc|adOuml UgraveUcircUacuteUuml szliglOumlcopytimesOslashgtszligYYacuteQjumlaacute uuml thorn UgraveUcircUacuteUuml yuml a2atildeltszligaumlgtszliglOuml UgraveUacuteUuml j atilde auml $ uuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOuml timesOslash j atilde aumlamp uacuteucirc thorn yuml uuml thorn otilde)yuml a2atildeshyszligaumlFj THORN5OaumlbnhQ H JLhdQR[]Oa2je H MeJ|hY HH WNtilde[ H JLhlZaringY9NihJyhZJ[]QR[]OWVcent-NPYJU^ordfWMQsfRJ H MeJ H MQRhd^ H JLhlZQcYcentEgrave[]jO^NihYmVcentNPYJU^O^MeJiexclXqjOb H QR[]OYyacuteuuml thorn UgraveUcircUacuteUuml yuml egtuuml thorn timesOslash yuml NPO^tuuml thorn otilde)yuml NihZJaumlhZJUYKEgraveJUb H QVUPJUfmH MeJ^eJUYZbnhdQRK H [PhY[SX H MeJFcentNPbl`[PhZ[]jO^timesKNih H ei[SX H MeJ[Pcent~JUb H Y H [OtildeYJ[]ZOslashJUO H NPO^Iacute[SXH MeJaumlbn[]O H []jeh^KMeJauml^eJUYbnhQRK H [PhYuZ Nm centEgraveJordf[]fR[PcentNPfcfm N HH NPbMJU^ H [ H MeJOtildeJUP[]fVUWQcO[hZJ[]Qc[]OY(NPO^Y[ ^eJLKEgraveJUO^ []Ofrac34Ouml timesOslash [Ph5OumluUgraveUcircUacuteUuml^

G QcObnJ H MeJaringYJ H [SXNtildeNPfsf$^e[]ZaringNPQcOYUacuteMNPYOtildeO[ H N Y H hjb H jehJtimes[SXUPJUb H [PhQcNPfyYZKNPbnJSeWFJIacutebLNPOeumlOe[ H bn[]ZOslashKj H J H MeJaelig^eJLhQVUiN H QVUPJT[SX H MJIacuteKhJUBQR[]jYbnhQ H JLhdQR[]OaNPbLbn[Ph^QcO[H [euml^e[]ZaringNPQcOY^ltMJLhZJX[PhJSe H [bn[]ZOslashKj H JNPO[PK H QZaringNPfFY[]fcj H Qc[]OOe9Neuml^mWONSZaringQcbLNPfYZbdMeJZOslashJOtildeQcYQcO H hZ[W^jbnJU^WMeJLhZJJUNPbM^[]ZaringNPQcO cent=JUbn[]ZaringJUY(bn[]O H QcOBje[]jYfVm ^eJLKEgraveJUOWV^eJUO H []ONPO JUP[]fcj H QR[]O KNihdNSZOslashJ H JLhagrave^59[ X[PhZaringNPfcQVcurrenLJ H MQcYQc^eJUNe WNtildeJxZaringNmYZjKKEgrave[]YJ H MN HTH MJ JUP[]fcj H Qc[]OKhZ[WbnJUYZYtimesQcY H [ H NPfsfVm^eJ H JLhlZaringQcOJU^centm H MJ JkeQcY5VH JUObnJiexcl[SXgNyXqNSZaringQcfmIacute[SXgNiKK-fcQcbLN H QR[]OY| H MN HNtildeH hNPOYXiacute[PhlZaringY H MeJiexclQsOQ H QcNPfe^e[]Z NPQcOYOumlcopytimesOslashgta s jNPO^tOuml UgraveUcircUacuteUuml a s jQsO H [ H MeJIacutebLjehZhZJUO H ^e[]ZaringNPQcOYyacuteOumlcopytimesOslashKaagravejNPO^frac34Ouml UgraveUcircUacuteUuml aagravejaring

OumlutimesUcirca s j ntilde OumlcopytimesaagravejYacutea s j ntilde Yacuteaagravej WiexclMeJLhZJVQaacuteiV[Ph Kf5 iumlMBjY H MeJOtildehJ[]QR[]OY(JUP[]fVUPJ H [WNih^YiexclNPO [PK H QZaringNPf9Y[]fcj H QR[]O^MeJ H hQRKfcJ H Ouml UgraveUcircUacuteUuml aagravejszliglOumlcopytimesOslashOaagravejszligYYacuteaagravejordmZIacutejY H NPb H NPYNregZaringQcOQZ QVcurrenUQcO[TYZJjeJUObnJgX[Phocirc|adOuml UgraveUcircUacuteUuml szliglOumlcopytimesOslashszligYYacutejWiexclMeJUOagrave JUP[]fVUPJUY^MeJ5XqjOb H QR[]ONPfOocircOcircadOuml UgraveUacuteUuml aagravejszliglOumlcopytimesOslashaagravejszligYYacuteaagravejjMNPY H [ bn[]OOgraveUPJLhY[PJ H [WNih^Y H MeJpoundZaringQcOQCZIacutejFZ UiNPfcjeJeuml[SXregocirc2NPYfrac34agraveacircntilde ograveegrave^ MeJbnhQ H JLhQR[]O H MeJUO centEgraveJUbn[]ZOslashJUYaring

ocirc|adOuml UgraveUcircUacuteUuml aagravejszliglOumlcopytimesOslashaagravejszligYYacuteaagravejjaacute thorn yuml uuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszliglOuml UgraveUcircUacuteUuml aagravejj atilde auml 5$ thorn yuml uuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashKaagravejj atilde aumlj uacuteucirc thorn yuml uuml thorn otilde)yuml a2atildeshyszligaumlFj THORN adh]jMJoXqjOb H Qc[]ONPf_ocircOcircadOumlyacuteUgraveUacuteUumllaagravejszliglOuml timesOslash aagravejszligYYacuteaagravejjaeligQcY H MeJLhZJUNX H JLh O[ H JU^egraveocirc|aagraveje0NPO^H MeJ ^eJUYZbnhQcK H [PhYuuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashKaagravejj NPO^icircuuml thorn UgraveUcircUacuteUuml yuml a2atildeltszligaumlgtszliglOuml UgraveUcircUacuteUuml aagravejjaringNihZJ`hZJUYKEgraveJUb|VH QVUPJUfmUacuteO[ H JU^laquouuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejgNPO^laquouuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszligYagravejeWMQcbdMTfRJUNP^Y H [ H MeJXiacute[]fcfR[WQcO[

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ fSfJkWKhZJUYZYQR[]OOaring

ocirc|aagravejumlaacute thorn yuml uuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszligYagravej atilde auml $ thorn yuml uumlgtthorn timesOslash yuml a2atildeltszligaumlgtszligYagravej atilde aumlj uacuteucirc thorn yuml uumlgtthorn otilde)yuml a2atildeshyszligaumlFj THORN af s j5OOtildebn[]O H hdNPY H WQ H MUacute[ H MeJLh9NPb H QVUPJFbn[]O H []jehdY9NiKKh[]NPbMeJUYe H MeJy^mWONSZaringQcbLNPfPYZbdMeJZOslashJQcYtimesMeJLhZJ^QRhJUb H fVmQcO H h[B^jbnJU^QcO H MeJbnhQ H JLhQc[]OO^ Q H MYZjbdMNeumlYZbdMeJZOslashJSe H MeJQcO H hZ[W^jb H QR[]OOacute[SXiexclNPO NPb H QVUPJbn[]O H []jehOslashJUP[]fVUWQcO[ WQ H Msup1agraveQcYaeligY H hNPQ[]M H Xiacute[PhYWNih^O^iexclJUObnJ WNtildeJbn[]OYZQc^eJLh H MN H Yacuteaagravej QsYoZaring[B^eJUfsfRJU^ NPY NPO NPb H QUPJOacutebn[]O H []jh H MN Hbn[]OUPJLhY[PJUY H [WNih^Y H MJgONPfEgraveJkWKEgraveJUb H JU^YJ[]ZOslashJUO H N H QR[]OO^9J H Yacutea s jtimescentEgraveJ H MeJQcOQ H QcNPfNtildebLjhYUPJa^eJOJU^centm H MeJjYJLh^ JahZJUbLNPfcf H MN H WFJYJUNihdbMtXiacute[Ph YacuteaagravejNPYNaringbLjehlUPJaumlJUP[]fVUWQcO[aringNPbLbn[Ph^QsO[ H [ H MeJgXiacute[]fcfR[WQcO[ordm5 aringaelig YacuteadTHORNOgraveszligYagravejaelig agrave aacuteegraveeuml WiexclQ H MigraveYacutea s j|aacuteegraveYacuteshyiacute afSfjWMJLhZJ_euml`QcY H MJ_UPJUfR[WbLQ H mUPJUb H [Ph([SX H MeJUacuteNPb H QVUPJOtildebn[]O H []jh^MeJ_Z NPQcO KhZ[PcentfRJZfcQcJUYFQsO-O^QcO[ H MeJiexclUPJUfR[WbLQ H meumlXhZ[]Z H MJUacutebnhdQ H JLhQR[]Opoundaf s jFQcO [Ph^JLh H [ordm[PJ HH MeJXqNPY H JUY H bLjhYUPJaumlJUP[]fcj H Qc[]O H [WNih^Y H MeJordfONPfYJ[]ZaringJUO H N H QR[]O^^ ^iexclEacuteltIacuteETHNtildeFETHEacuteshyOacute Eacute10wETH9Igrave8ltIgraveFEgravegt+NtildeFETH3gt+ltIgraveumlEacute10frac34ETH9Igrave=KEgrave13ETHIgraveFEgraveEacuteshyOacute5Oeuml[Ph^eJLh H [ [Pcent H NPQsO H MeJOslashJUP[]fcj H QR[]OeumlJBjN H QR[]Oe H MeJaringbnhQ H JLhQc[]OxocircOcircaagravej5ZtimesjY H centEgraveJ^QV=JLhZJUO H QcN H JU^WQ H MhZJUYKEgraveJUb H(H [agrave^MeJOtildeQcO H J[PhNPfcentEgrave[]jO^Y^eJLKEgraveJUO^ []Otagrave NPO^H MeJauml^JUYZbnhQRK H [PhdYyacuteuuml thorn UgraveUcircUacuteUuml yuml a)jNPO^wuuml thorn times Oslash yuml a)juZaringNm NPfcY[aring^JLK=JUO^[]Otagrave^9J H jY^eJOJ H MeJordfXiacutejOb H QR[]ONPfuumlOa2atildeltszligaumlgtszligYagravejYZjbM H MN H aring

uumlOa2atildeltszligaumlgtszligYagravej|aacute uuml thorn UgraveUacuteUuml yuml a2atildeltszligaumlgtszligYagravej QVXcopya2atildeltszligaumljwOuml UgraveUcircUacuteUuml aagravejuuml thorn times Oslash yuml a2atildeltszligaumlgtszligYagravej QVXcopya2atildeshyszligaumlFjtOumlcopytimesOslashKaagravej af jMJbXqjOb H QR[]ONPfuuml thorn UgraveUcircUacuteUuml yuml a)jNPO^Huuml thorn times Oslash yuml a)j`NihZJ^eJOJU^ []O H MeJxWMe[]fRJ7QZaringN[PJ^e[]Z NPQcOtOumliexcl^FMeJUOe H MeJaumlbnhQ H JLhQc[]OocircOcircaagravejuWhQ H JUY(NPYaring

ocirc|aagravejOcircaacute uacute uumlOa2atildeshyszligaumlKszligYagravej atilde aumlj uacuteucirc thorn yuml uumlgtthorn otilde)yuml a2atildeshyszligaumlFj THORNordfaacuteocirc aagravej ocirc cent aagravej af]jWMJLhZJgOuml QcY H MeJaumlQCZaringN[PJT^e[]ZaringNPQsOOeeNPO^Oaring

ocirc aagravej|aacute uacute uumlOa2atildeshyszligaumlKszligYagravej atilde aumlocirc cent aagravejOcircaacute uacuteucirc thorn yuml uuml thorn otilde)yuml a2atildeshyszligaumlFj THORN

uumlnyacutenthornnyumll13YSordmY_F

f $amp)(+-)013021+345627893lt=gt9A6CB5OOtilde[Ph^eJLh H [bn[]ZaringKj H J H MJ0^eJLhQVUiN H QVUPJy[SX H MJNtildebnhQ H JLhdQR[]Olaquoocirc aagraveje H MJNtilde^QcYbn[]O H QcOBjWVQ H QcJUY|ZtimesjY H JkWKfcQcbLQ H fVmIacutecentEgraveJ H N`PJUOQcO H [IacuteNPbLbn[]jO H ^ not [Ph(YZjbdM NIacuteKjehZKEgrave[]YJSeSWFJ5hY HhZJUbLNPfsf-N[PJUOeJLhNPf H MeJL[PhJZbn[]ObnJLhOQcO[ H MeJUacute^eJLhQVUiN H QVUPJ[SX9N H QZOslashJnV4^eJLKEgraveJUO^JUO HbnhQ H JLhQR[]OO^9J H jY(^eJ-OeJyOumlcopytimesaagravejNPYNOslashhZJ[]Qc[]OQcObLfcj^eJU^QcO H [regOumlordf^yacute5 q Ntilde_ f^1ltuumlStimesBiexcl centpoundcurrenyencurrenbrvbarsectumlordfcopynotlaquo3shyyenLregmacrcurrenRlaquodegcurrenbrvbarlaquo Oumlplusmna s szligsup2|iexcljsup3acute Rlaquomicromiddotparagtltocirc|aagravejOcircaacute w thorn yuml uumlStimesYa2atildeltszligaumlgtszligYagravej atilde auml~sup3cedilsectsup1ltlaquoordm ocirc agrave aacuteocirc7raquodaagravejOcircaacute thorn yuml aelig uumlStimesaelig agrave atilde auml uacutefrac14 thorn yuml uumlStimesYafrac34frac12 eacuteAgraveiquestsup1AacuteAtildeAcircYj THORNAuml sectsup1ltAringPfrac12AEligreg(centsectsup1Ccedilbrvbar_paracurrenyenshyltregLLEgraveacutecurrensup2uml aelig Oumlcopytimesaagravej RlaquomicroeacuteAgraveiquestsup1AacuteAtildeAcircEacuteregEcirccentsectsup1copysup1laquoregEumlreg(laquo Auml brvbarAringsup2microacutelaquocurrenRAringordfpound RparaIgravecurren aelig Oumlcopytimesaagravej_IacuteMJ^JLhQVUiN H QVUPJ[SXshyocircWQ H MaelighZJUYZK=JUb HampH [yagraveaeligQcY H MJyacute0jfRJLhdQcNPOIacute^JLhQVUiN H QVUPJ([SXocirc|adOumlcopytimesAjQcO H MeJOtilde^QRhJUb H QR[]O [SXEumlfrac12umleWMQcbdM bn[]ZaringKj H N H QR[]O QcY[]QVUPJUO QsO iexclKKEgraveJUO^Qkaring ^FMeJUiNihQcN H QR[]Oeuml[SX5ocirc QcYOtilde^jeJ H [ H MeJUiNihQcN H Qc[]O[SX H MeJordmXiacutejOb H QR[]ONPfOcircuuml]timesa2atildeltszligaumlgtszligYagravejaumlNPO^H [ H MeJgZOslash[ H Qc[]O[SX H MeJOtildeQcO H J[PhNPf^e[]ZaringNPQsOOumlutimesaagravej^ Y(Naeligbn[PhZ[]fcfcNihYm [SXltMJL[PhZJZfeFWFJordf[PJ H aringv q q shy9 5lt f^yenIcirccopyNcentampcentcopyIuml-Iumlsup1currenfcentyenYsectnot -sectsup1Ymicro-currenRpound Rreglaquofrac34Oumlgaagravejampreg(centpound -microETHcopyIumliexclcurrensup2uml Auml currenCIuml RAringordfcentsup3yOuml timesOslash aagravejNtilde RlaquomicropoundOumlyacuteUgraveUacuteUumllaagravejOgravecentyenfrac34Iumlsup1 brvbarAringsup2 brvbarmicro_Egraveh iexclpoundYcurrenbrvbarCcedildreglaquoNOacutehreglaquo5_Aringumllt -shytYacuteaagravejAuml sectETHregmacrshy_sectOcircCcedilRltparaOtildecurrendshyltregLLEgraveregEcirccentyacuteeumlEumlIacuteOumlsectsup1Uumlordfcopynotlaquo3shyyenLregmacrcurrenRlaquouumlOa2atildeltszligaumlgtszligYagravejreg(centcentordfcopyIuml-Iumlsup1currenfcentyenmicroOcircIgravecurrenOcirccentltfrac34Iuml RAringsup2 -_paraEgraveshycurrenRlaquo5LreglaquocopycurrenRcopynotcentcedilreglaquoyOumlcopytimesOslashKaagravejW Rlaquomicro Ouml UgraveUcircUacuteUuml aagravej_copy3pound REgraveampJmicrobrvbarregEcirccentltshycurrenRlaquo5LreglaquocopycurrenRcopynotcentJ -shyltAringPcurrenfcentcentYacuteaagravej_Iacutetimes Agravelaquocurrenbrvbaruuml thorn times Oslash yuml Rlaquomicroruuml thorn UgraveUcircUacuteUuml yuml sup3sectsup1Ccedilf brvbarparacopy5iexclcurrensup2umlwuumlreglaquoOslashAringordfcentIumlshydLreg(Ccedilbrvbar_paraEgraverOumlutimes OslashaagravejAgrave Rlaquo3microOuml UgraveUcircUacuteUuml aagravej_IacuteUgraveOumlsectNcopyNcentampsectmicroETH_Aringordfreg(CcedilR brvbarLregCcedilRcurrensup2umlordfocirc|aagravej Auml AringregLordfcent fcent_ordm

ocirc7raquo)aagravejOcircaacuteUacute thorn yuml aelig uumlaelig agrave atilde auml uacutefrac14 thorn yuml uumlOaLUcirc eacute iquestsup1Aacute j THORN uacuteucirc thorn yuml uumlNaeuml eacuteHj THORNAuml sectsup1ltAringPacute uumlNAringfrac34Iuml3AringP_centlt_laquocentYsectUumlordfcopysup1poundUgraveIumlcurrensup2umlguumlh -shyltAringPcurrenfcentcentordfYacuteaagravej_ordmW uumlNaacuteacircuuml thorn UgraveUacuteUuml yuml uuml thorn times Oslash yuml sup3eacute sectsup1ncopynotlaquo5reglaquo3currenRAringpound RparaIcirccurrensup2umlordfYacuteaagravejmicrobrvbarreg(AringshydmicroampumlAringPcurrenRpound Ouml UgraveUacuteUuml aagravejIgravecurrenOumlutimes OslashKaagravejsup3eacuteAgraveiquestsup1Aacutesectcopysup1laquoregLEumlreglaquo Auml RAringPmicroOcirclaquocurrenRAringordfpound Rpara1Igravecurren aelig Oumlgaagravejj RlaquomicroUcircYacutesectsup1jCcedilbrvbar_paracurrenyenshyltregLLEgravenCcedilbrvbarshydIgravecurrenRAringjcurrensup2uml_Oumlyaagravej_Iacute

plusmngLMOMraquo aring JbLNPO NiKKfVm MJL[PhZJZ f H [ H MeJ ^[]ZaringNPQcO Oumlutimes OslashaagravejaringNPO^ H [ H MeJ^e[]Z NPQcOtOuml UgraveUcircUacuteUuml aagravej^ ^^QcO[ H MeJ H WF[aringJjN H QR[]OYeFWFJOtilde[Pcent H NPQcO H MeJTbn[PhZ[]fcfsNihYmS^ H QcYIacuteOe[WY H hNPQ[]M H Xiacute[PhYWNih^ H [[PJ HtimesH MeJ ^eJLhdQVU~N H QUPJ [SX H MeJ bnhQ H JLhQR[]O ocirc aagravejaringWFJ H N`PJ5OumlyaagravejOcircaacuteAumlOuml H MeJiexclQZaringN[PJ^e[]Z NPQcOta not QV[^ j^MJUOOePcentmaeligJkWKfcQcbLQ H fVm H N`WQcO[

uumlnyacutenthornnyumll13YSordmY_FY

yenKbrvbarsect =4 acirc $ fH MeJtimes^QcYZbn[]O H QcOBjQ H QRJUY(QsO H [ NPbLbn[]jO HUacuteH MNPOF`BY H [ H MeJtimesbn[PhZ[]fcfcNihlmSe H MeJtimes^eJLhQVUiN H QVUPJ[SXocirc aagravejQcYcopy[]QVUPJUOacentmKaring

ocirc raquo aagravejumlaacute uacuteucirc thorn yuml uumlNaeuml eacutej THORN uacutefrac14 uumlOaLUcirc eacuteAgraveiquestsup1Aacutej THORN $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde auml thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afj

q centUWQR[]jYZfVmSe H MeJ7YJUbn[]O^ H JLhlZ [SX H MeJ7^eJLhQVUiN H QVUPJ afjaQcYcurrenLJLh[ YZQcObnJ H MeJJk H JLhONPf(centEgrave[]jO^NihYm aelig OumlD[SX H MeJ`QZaringN[PJaQcYkBJU^^OcircJLKfcNPbLQsO[` uumlN_WQ H MQ H YJkWKhZJUYZYQR[]OOeWNtildeJyO^Oaring

ocirc7raquo aagravejumlaacute uacuteucirc thorn yuml aduuml thorn UgraveUcircUacuteUuml yuml1 uuml thorn timesOslash yuml jaeuml eacuteHj THORN $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde auml thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afmacr]jMJUacute^JLhQVUiN H QVUPJOtilde[SXocirc cent aagravejQcY(bLfcNPYZYQcbLNPfdaring

ocirc7raquocent aagravejOcircaacute uacuteucirc thorn yuml a uuml thorn otilde)yumld huuml thorn otilde)yuml7 eacutejaeuml eacutej THORN af]jWMJLhZJ a2atildeshyszligaumlKszligYagravejQcY H MeJaumlbLjehlU~N H jehJ[SXQYacutea2atildeltszligaumlgtszligYagravej^MeJLhZJXiacute[PhZJSe H MeJOtilde^eJLhQVUiN H QVUPJ[SX H MeJgWM[]fRJOtildebnhQ H JLhQR[]O QsY H MeJordfXiacute[]fcfR[WiexclQcO[aring

ocirc raquo aagravejpoundaacute $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde aumlamp thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afzSj uacuteucirc thorn yuml aduuml thorn UgraveUcircUacuteUuml yuml uuml thorn timesOslash yuml uuml thorn otilde)yuml huuml thorn otilde)yuml eacutejaeuml eacutej THORN

^ ^~THORNUgrave2FEgraveOIgraveIcircIcirclt2EacuteltOacute Eacute0frac34ETH9Igrave8shyIgraveFEgraveEcirc+NtildeFETH3Ecirc+ltIgraveNtilde7==EacuteltEgrave7813Oacute14 ETHOEacute ETH9IgraveOacuteszligltOacuteshyEacuteOacuteAgrave+QIgraveFEumlEacuteAtilde=13ETH+ltIgrave5=KETHOEacuteshyEgravesup1euml5Oaelig[Ph^eJLh H [Tbn[]ZaringKj H J H MeJuUPJUfR[WbLQ H mUPJUb H [PhcopyeumleSWNtildeJMNUPJ H [yZ N`PJQ H NiKKEgraveJUNihyQcOH MeJhY HH WF[ ^e[]Z NPQcOaQcO H J[PhNPfcYiexcl[SX afzSjcentmJkWKhZJUYZYQcO[ H MeJZ NPY_XiacutejOb H QR[]OY[SX H MeJgUPJUfR[WbLQ H meumlQ^iexclJLhZJiexclWFJ H N`PJ H MeJ5[PJUOeJLhNPfbLNPYZJ5WiexclMeJLhZJ H MeJ^JUYZbnhQRK H [PhdYZaringNm ^eJLKEgraveJUO^ []OXiacuteJUN H jehZJUY5[]fR[PcentNPfsfVmN HH NPbMeJU^ H [ H MJtimeshJ[]QR[]OeumlNPO^eumlY[oZ Nm`^JLK=JUO^a[]O agrave^ JZOslash[W^eJUf$JUNPbdM^eJUYZbnhQRK H [PhIacuteNPYtimesNabn[]ZIacutecentQcON H QR[]OOacute[SXuXJUN H jhZJUYy[]fc[PcentNPfcfVmeumlN HH NPbMeJU^

uumlnyacutenthornnyumll13YSordmY_F

f $amp)(+-)013021+345627893lt=gt9A6CBH [ H MJOtildeJUP[]fVUBQsO[OslashhZJ[]QR[]OY_OumlcopytimesOslashKaagravejF[Ph_Ouml UgraveUacuteUuml aagravejaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejpoundaacuteAElig thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn timesOslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejszligiumlViumlViumlVszligagrave thorn timesOslash yumlaacute aagravejjuuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszligYagravejpoundaacuteAElig thorn UgraveUcircUacuteUuml yuml a2atildeltszligaumlgtszligagrave thorn UgraveUcircUacuteUuml yuml aagravejszligagrave thorn UgraveUcircUacuteUuml yumlcent aagravejszligiumlViumlViumlVszligagrave thorn UgraveUcircUacuteUuml yumlacirc aagravejjafi]j

WMJLhZJSaring agrave thorn(atilde yumlauml aacute 7aring thorn yuml5aelig thorn(atilde yumlauml a2atildeltszligaumlgtszligYagravej atilde auml WQ H Mpounda jOcircaacuteacircaVltjF[Pha Kf5 jiuml afh]j9J H jYuhY H bn[]ZOslashKj H J H MeJIacute^eJLhQVUiN H QVUPJOtilde[SXuuml thorn timesOslash yuml eFWFJgO^Oaring

aelig uuml thorn times Oslash yumlaelig agrave aacute aacuteccedilaumlegrave aelig thorn timesOslash yumlaelig agrave thorn times Oslash yumlauml a2atildeltszligaumlgtszligagrave thorn timesOslash yuml aagravejszligiumlViumlViumlVszligagrave thorn timesOslash yumlaacute aagravejj aelig agrave thorn timesOslash yumlaumlaelig agrave aagravej a s j J MNUPJOe[W H [bn[]ZOslashKj H J H MeJ ^eJLhdQVU~N H QUPJ [SXagrave thorn timesOslash yumlauml NPbLbn[Ph^QcO[ H [umlagrave^ JNiKK-fVm H MeJgMeJL[PhZJZigravefaumlNPO^WNtildeJy[PJ H aring

aelig agrave thorn timesOslash yumlaumlaelig agrave aacute $ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde auml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacutej THORN a fj

JLKfcNPbLQcO[ H MeJNtilde^eJLhdQVU~N H QUPJUY9[SX3agrave thorn timesOslash yumlauml WQ H M H MeJUQRhJkWKhZJUYZYZQc[]OYa fj9QcOa s jeSWFJ[Pcent H NPQsO H MJXiacute[]fcfR[WQcO[iexclJkBKhJUYZYZQR[]OX[Ph H MJF^e[]Z NPQcOaeligQcO H J[PhdNPf[SX H MeJ^eJLhQVUiN H QVUPJ[SX H MeJT^eJUYbnhQRK H [Ph uuml thorn times Oslash yuml aring

$ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde aumlacircaacute aacuteccedilaumlordfegrave -eacute thorn timesOslash yumlauml $ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde auml

aacuteccedilaumlordfegrave eacute thorn timesOslash yumlauml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacuteHj THORN a S jWMJLhZJSaring

eacute thorn timesOslash yumlauml aacute $ thorn yuml aelig thorn timesOslash yumlaelig agrave thorn timesOslash yumlauml a2atildeltszligaumlgtszligagrave thorn timesOslash yuml aagravejszligiumlViumlViumlVszligagrave thorn times Oslash yumlaacute aagravejj atilde auml a ]jMJIacuteJkWKhZJUYZYQR[]OwXiacute[Pha jyacuteaacute a Kf jiexclQcYbn[]ZOslashKj H JU^QsO H MeJaeligYZNSZOslashJordmZaringNPOOeJLhiexclWMQcfRJKNmBQsO[N HH JUO H Qc[]O H [ H MeJ`^QRhZJUb H QR[]O[SX H MeJ`Oe[PhlZaringNPfcopyUPJUb H [PheNPO^rWFJ H MBjY

uumlnyacutenthornnyumll13YSordmY_Fsup2

yenKbrvbarsect =4 acirc $ fmacr[Pcent H NPQsO H MeJg[PJUOeJLhNPfgJkBKhJUYZYZQR[]OXiacute[Ph H MeJauml^JLhQVUiN H QVUPJOtilde[SXocircOcircaagravejaring

ocirc raquo aagravejumlaacute uacuteucirc thorn yuml aduumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn times Oslash yuml uumlgtthorn otilde)yuml d hreguumlgtthorn otilde)yuml eacuteHjaeuml eacutej THORN aacuteccedilaumlordfegrave eacute thorn timesOslash yumlauml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacuteHj THORN acircccedilaumlordfegrave eacute thorn UgraveUcircUacuteUuml yumlauml uacuteucirc thorn yuml aelig thorn UgraveUcircUacuteUuml yumlauml aeuml eacutej THORN aacuteccedilaumlordfegrave -eacute thorn timesOslash yumlauml $ thorn yuml aelig aelig thorn

timesOslash yumlaumlaelig agrave atilde auml acircccedilaumlordfegrave eacute thorn UgraveUcircUacuteUuml yumlauml thorn yuml aelig aelig thorn

UgraveUcircUacuteUuml yumlaumlaelig agrave atilde auml a j^ ^ecirccopyEgraveEacuteshyIacuteIumlETH39shyIgrave8shyIgraveFEgraveEcirc+NtildeFETH3gt+QIgraveETHOEacute3iexclNtildeshyEgrave78QIcircETH9IgraveumlIgrave+EacuteltEumlETHshyETHEacuteshyOacuterIgrave5euml1ONtildeFETH32EacuteltOacuteEacute10wETH9Igrave Ntilde=KETH3gt+ltIgrave=EacuteshyOacuteshyETHEacute1EgraveMJ[P[]NPf[SX H MQsYampKNih H QcY H [aumlbn[]ZOslashK-j H J H MeJ(JkWKhZJUYZYZQc[]Oaelig[SX H MeJuUPJUfc[BbLQ H mUPJUb H [PheumlwWMQcbdMregZaringN`PJUY H MeJUacutebLjehYUPJJUP[]fVUPJOtildeNPYXiacuteNPY H NPYFKEgrave[]YZYZQRcent-fRJ H [WNih^Y(NZaringQcOQCZIacutejFZ[SX H MeJaeligbnhQ H JLhdQR[]Oumlocirc^KO`[Ph^eJLh H [ ^JU^jbnJ H MJyUPJUfR[WbLQ H mwUPJUb H [PhOtilde[SX H MeJaeligNPb H QVUPJbn[]O H []jehQXhZ[]Z H MeJF^eJLhQVUiN H QVUPJ0[SX H MeJNtildebnhQ H JLhQR[]OOeWFJMNUPJ H [5Z N`PJFNiKKEgraveJUNih H MeJUPJUfR[WbLQ H moUPJUb H [PhUacuteQcO H MJTfcNPY HH WNtilde[ ^e[]ZaringNPQcOaQcO H J[PhdNPfcY(centm JkWKhZJUYYZQcO[ H MeJZ NPYcentEgrave[]jO^NihYm QcO H J[PhNPfcY^FMQcYbLNPOaJUNPYZQcfVm centEgraveJauml^e[]OeJTjYZQcO[MJL[PhZJZigravefe-^[]ZaringNPQcOQcO H J[PhNPfcYbLNPOeumlNPfVWNmWYiexclcentEgraveJIacuteJkBKhJUYZYJU^ NPYcentEgrave[]jO^NihYm QcO H J[PhdNPfcY^gtiexcl[WFJUPJLheOXiacute[PhYZQCZOslashKfcQcbLQ H mSe-fcJ H jYbn[]OYZQc^eJLh H MeJaringbLNPYJUYgWMeJLhZJ H MeJUYJOslashfcNPY HH WNtilde[`QcO H J[PhdNPfcYOtildeNihZJJBjNPf H [currenLJLhZ[eOgraveWMQcbMaringMNiKKEgraveJUOYX[PhZOslash[]Y H hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhdQRK H [PhY^S5OH MN H bLNPYJSeNPbLbn[Ph^QsO[ H [ H MeJaeligQcOeJBjNPfcQ H m[SXvNPjbdMOgravemV G bdMOgraveWNih H currenSe H MeJXiacuteNPY H JUY H^eJUbnhJUNPYJa[SXocirc|aagravejOslashQcY [Pcent H NPQcOeJU^ XhZ[]Zecirca jOslashcentm bMe[B[]YZQcOF[beuml aacute ccedilyeacute WMQsbMfRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[aeligJUP[]fcj H Qc[]O JjN H QR[]OOaringaelig Yacuteaagravejaelig agrave aacuteFuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yuml uuml thorn otilde)yuml eacute aacuteccedilaumlordfegrave ETHeacute thorn timesOslash yumlauml aelig thorn timesOslash yumlauml acircccedilaumlordfegrave ETHeacute thorn UgraveUcircUacuteUuml yumlauml aelig thorn UgraveUcircUacuteUuml yumlauml lteacute a macr]jUcircX H MJ^eJUYZbnhQRK H [PhY$^e[TOe[ H ^eJLKEgraveJUO^times[]OregagravetaiacutehZJ[]QR[]OeV4QcO^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhYjeH MeJgiexcl hZJU^jbnJUY H [ H MeJordfXiacute[]fcfR[WQcO[aeligJkWKhZJUYZYQR[]OOaringaelig Yacuteaagravejaelig agrave aacuteigraveuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yumldn reguuml thorn otilde)yuml7 eacutelteacute a ]j

uumlnyacutenthornnyumll13YSordmY_FY

f $amp)(+-)013021+345627893lt=gt9A6CB JaeligbLNPO`O[ H QcbnJ H MN HH MeJtimes^eJLKEgraveJUO^eJUObnJauml[SX H MJIacute^eJUYZbnhdQRK H [PhY[]OwagraveeEgraveNPO^aY[ []OH MeJiexclbLjehYUPJJUP[]fcj H QR[]OOeQcO^jbnJUY0NP^^Q H QR[]ONPf H JLhlZaringYFQcO H MeJiexclJUP[]fcj H QR[]O JjN H QR[]O[SX H MJFNPb H QVUPJ(bn[]O H []jeh^SMeJNP^^Q H QR[]ONPf H JLhZaringYQX[]jO^IacuteQcOoa macr]jbLNPOOe[ H hZJUNP^QsfVmcentEgraveJtimes[Pcent H NPQcOeJU^ WMJUO H MeJOslash^mBONSZaringQcbLNPfampYZbMJZOslashJaringQcYOtildeQcO H hZ[W^jbnJU^eumlNX H JLh H MeJOslashbn[]ZaeligVKj H N H QR[]Oa[SX H MeJaelig^eJLhQVUiN H QVUPJaeligjYZQcO[o0jfcJLhVA9N[PhNPOF[PJIacuteJBjN H QR[]OY^MjYe-Q H QcY[SX=KhQZaringJOeJUbnJUYZYZQ H m H [TQcO H hZ[B^jbnJ H MeJ^mWONSZaringQsbLNPfeYZbMeJZaringJiexclQcO H [ H MeJbnhQ H JLhQR[]OQ H YZJUfVXiexclQcO[Phd^eJLh H [JUNPYZQsfVmsup1[PJ H H MeJUYJaNP^^Q H QR[]ONPf H JLhlZ Y QcO bLNPYJa[SXhJ[]QR[]OWV^eJLKEgraveJUO^JUO H ^JUYZbnhQRK H [PhdY^MNPO`BY H [ H MeJUYJeumlNP^^Q H QR[]ONPf H JLhlZaringYeWFJ`JUOYZjehZJH MeJordfXqNPY H JUY H JUP[]fcj H QR[]O [SX H MeJIacutebLjehYUPJ H [WNih^YiexclNZaringQcOQZIacutejZ [SX H MeJTbnhdQ H JLhQR[]OO^ JeumlbLNPO NPfcY[hZJZaringNihY` H MN H H MeJUPJUfR[BbLQ H m[SX H MeJ bn[]O H []jhQsOa macr]j bLNPOcentEgraveJ K=[]YQ H QVUPJ[PharingOeJ[]N H QVUPJS^|MQcYaeligNPO QcO H JLhZJUY H QcO[eumlKh[PK=JLh H mOacute[SXiexclhZJ[]QR[]OWVcent-NPYJU^NPb H QVUPJ bn[]O H []jehY^ q O H MeJ bn[]O H hNihYm H [ centEgrave[]jO^NihYmVcentNPYJU^7NPb H QVUPJ bn[]O H []jehdYehZJ[]Qc[]OWVcentNPYJU^7NPb H QVUPJbn[]O H []jehYOslashNPfcfR[WYZ[]ZOslashJKNih H Ytimes[SX H MeJ bLjehYUPJ H [YZMehQsO`WMQcfRJ[ H MeJLhY(JkWKNPO^O^FMjY H MeJaumlQcOQ H QsNPfcQVcurrenUN H QR[]O QcYfRJUYYbn[]OY H hNPQsOeJU^O^^ macr^iexclEacuteltIacuteETHNtildeFETHEacuteshyOacute Eacute10wETH9IgraveumlIgravesup1+shyEacuteltEumlETHETH3EacuteshyOacuterIgrave5euml1ONtildeFETH32EacuteltOacute0EacuteltEgravexIcircEacuteshyIacute5IgraveIgrave2shyNtildeshyIacuteEumlOgraveIgraveIcirclaquoEacute10C8ltIgraveIcircd=KEgrave(ETHEacuteltEgraveIcircMJu[P[]NPf[SX H MQsY$KNih H QsY H [timesbn[]ZaringKj H J H MeJiexclJUP[]fcj H QR[]O JjN H QR[]Oaring[SX H MeJNPb H QVUPJbn[]O H []jehOcircXiacute[Ph0Y[]ZOslashJ(JkeNSZOslashKfcJUY$[SX-hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhY^SgJ H jY H N`PJY[]ZaringJT^eJUYZbnhQcK H [PhY(^eJLKEgraveJUO^QsO[aelig[]O H MeJyZOslashJUNPOBSOtimesOslash [Phiexcl[]O H MeJgUiNihQcNPObnJjuFtimesOslash [SXH MeJOtildeJUP[]fUBQcOF[OslashhZJ[]QR[]OwOumlcopytimesOslashaagravejaringEFFG FFH SOtimesOslashKaagravejumlaacute iacute $ w$ thorn yuml Otilde atilde auml WiexclQ H M icirctimesOslashaacute w$ thorn yuml atilde aumlu centtimes Oslash aagravejsup1aacute iacute $ w$ thorn yuml aOtilde SOtimes OslashKaagravejj cent atilde auml^ macr^f^iumlordfcentltshyltAringordfregethIumlIgravecurrenRAringcentmicroETHfrac34IumlltlaquomicroRreglaquoNOacute]currenRlaquosectsup1jCcedilR RAringordfregL Rlaquo3shy JTbdMe[B[]YJ H MeJgXiacute[]fcfR[WQcO[OslashYJ H [SX^eJUYbnhQRK H [PhYaring

uuml thorn UgraveUcircUacuteUuml yuml ^e[BJUYOe[ H ^eJLKEgraveJUO^[]Owagraveuuml thorn timesOslash yuml aacutecntildeaLuOcenttimes Oslash j a zSjWMJLhZJampntildeaOgravejQsYNOslashKEgrave[]YZQ H QVUPJiexclXqjOb H QR[]O[SX$bLfcNPYYograve aj^MQcYiexclUPJUfR[WbLQ H mumlUPJUb H [PhOslashQcYaumlbn[]ZaringKj H JU^centmeumlhZJLKfcNPbLQsO[ H MeJ H JLhZaringYauml[SXga jgWQ H MH MeJUQch$JkBKhJUYZYZQR[]OY^ J hY H JkWKhZJUYZY H MeJ^eJUYZbnhQcK H [Ph|uuml thorn timesOslash yuml NPYyNTbn[]ZTcentQsON H QR[]O[SXamp^e[]ZaringNPQcOY(QcO H J[PhdNPfcYaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacutemiddot thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn timesOslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejjaacutecntildeoacute agrave thorn timesOslash yuml aagravejagrave thorn timesOslash yumlcent aagravejfocirc a i]j

uumlnyacutenthornnyumll13YSordmY_FPa

yenKbrvbarsect =4 acirc $ fzWMJLhZJSaring EFFG FFH agrave thorn timesOslash yuml aagravejpoundaacute w$ thorn yuml aOtildegta2atildeltszligaumlj SOtimes OslashaagravejjUcirccent atilde aumlagrave thorn timesOslash yumlcent aagravejpoundaacute w$ thorn yuml atilde auml a h]j O^ H MBjYaring aelig thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacuteacircaOtildeKa2atildeshyszligaumlFj S timesOslash aagravejjUcirccentaelig thorn timesOslash yumlcent a2atildeshyszligaumlKszligYagravej|aacute f ad s j Y5XiacuteNihaumlNPY H MeJOslash^e[]Z NPQcO`QsO H J[PhNPfsYUacute[SX H MeJOslash^eJLhQVUiN H QVUPJaelig[SX H MJXqjOb H QR[]OY aelig thorn timesOslash yumlaumlNihZJaumlbn[]ObnJLhOeJU^OeFWFJauml[Pcent H NPQsOOaringEFFFG FFFH w5$ thorn yuml frac14ltotildeouml $_divideoslashfrac14 atilde aumlordmaacute frac14ltugrave $frac14 w$ thorn yuml aOtildeKa2atildeshyszligaumlFj SOtimesOslashKaagravejj atilde aumlaacute sw5$ thorn yuml frac14ltotilde ouml $_divideacircfrac14 atilde aumlordmaacute s adfjMJ H JLhZaringY eacute thorn timesOslash yumlauml NPfcY[aringMNUPJ H [ cent=Jaumlbn[]ZaringKj H JU^OeNPO^tWNtildeJg[PJ H aringEFFFG FFFH eacute thorn

timesOslash yuml aacute w$ thorn yuml uacute ouml $_divideacircntilde raquo7ucirc uacute ouml $_divideoslashuacute ouml $_divideacircyacuteuuml atilde aumlaacutecntilde raquo aLu centtimesOslash jeacute thorn timesOslash yumlcent aacute w$ thorn yumlBthorn uacute ouml $_divideoslashthorn uacute ouml $_divideacirc yuml acirc ntilde raquo ucirc uacute ouml $_divideoslashuacute ouml $_divideacirc uuml atilde aumlregaacute u centtimes Oslash ntilde raquo aLu centtimes Oslash j

G QsObnJ H MeJOslash^e[]Z NPQcO`QsO H J[PhNPfsYiexcl[SX frac14ltotildeouml $ordfdivideoslashfrac14 NPO^ frac14ltotildeouml $_divideacircfrac14 NihZJaeligJBjNPf H [currenLJLhZ[poundadfjeWFJOtildebLNPO ^QRhZJUb H fVm bn[]ZOslashKj H J H MeJiexclUPJUfR[WbLQ H mregUPJUb H [Ph[SX H MeJOtildeNPb H QVUPJTbn[]O H []jehuXiacutehZ[]Za macr]jNPO^WNtildeJyO^Oaringaelig Yacuteaagravejaelig agrave aacuteuumlgtthorn timesOslash yuml uumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn otilde)yuml dacute uumlgtthorn otilde)yuml eacutentilde raquo aLu centtimes Oslash jaaOtilde SOtimesOslashj cent u centtimesOslash jcedilQeacute ad j5Otad jeOgraveWFJbLNPOaringhJZaringNihY` H MeJ(KhZJUYJUObnJ[SX H MJNP^^Q H QR[]ONPf H JLhlZntilde raquo aLuOcenttimesOslash jaaOtilde SOtimesOslashj cent u centtimesOslash jeacuteacirc^^ macr^ ^iumlordfcentltshyltAringordfregethIumlIgravecurrenRAringcentmicroETHfrac34IumlltlaquomicroRreglaquoNOacute]currenRlaquosectsup1jpoundn Rlaquo JTbdMe[B[]YJ H MeJgXiacute[]fcfR[WQcO[OslashYJ H [SX^eJUYbnhQRK H [PhYaring uuml thorn UgraveUcircUacuteUuml yuml ^e[BJUYOe[ H ^eJLKEgraveJUO^[]Owagraveuuml thorn timesOslash yuml aacutecntildeaOtilde S timesOslash aagravejj adS]j

uumlnyacutenthornnyumll13YSordmY_FPo

fi $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJampntildeaOgravejQsYNOslashKEgrave[]YZQ H QVUPJiexclXqjOb H QR[]O[SX$bLfcNPYYograve aj^ YKhZJUWQR[]jYZfVmSe H MeJlaquoUPJUfR[WbLQ H mfrac34UPJUb H [PhTQcYbn[]ZOslashKj H JU^eumlcentmhZJLKfsNPbLQcO[ H MJ H JLhZaringY[SXua jcopyWQ H M H MeJUQRh(JkWKhZJUYZYZQc[]OY^FMeJauml^JUYZbnhQRK H [Ph uuml thorn timesOslash yuml QcY(JkWKhZJUYZYJU^centmKaringuuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacutei thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn times Oslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejjaacutentildeoacuteOtilde agrave thorn timesOslash yuml aagravejagrave thorn timesOslash yumlcent aagravejfocirc adj

WMJLhZJSaring EFFG FFH agrave thorn timesOslash yuml aagravejpoundaacute w5$ thorn yuml Otildegta2atildeltszligaumlj atilde aumlagrave thorn timesOslash yumlcent aagravejpoundaacute w5$ thorn yuml atilde auml adSmacr]j O^ Y[aring aelig thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejOcircaacuteegraveOtildegta2atildeltszligaumljaelig thorn timesOslash yumlcent a2atildeshyszligaumlKszligYagravejOcircaacute f adS]jG QsObnJ H MeJordfXiacutejOb H QR[]OY aelig thorn timesOslash yuml NPO^ aelig thorn timesOslash yumlcent ^e[aringO[ H ^eJLKEgraveJUO^[]OtagraveeFWFJTMNUPJSaringEFFFG FFFH w$ thorn yuml frac14ltotilde5ouml $ordfdivideoslashfrac14 atilde aumlregaacute s

w$ thorn yuml frac14ltotilde5ouml $ordfdivideacircfrac14 atilde aumlregaacute s ad]zSjMJ H JLhZaringY eacute thorn timesOslash yumlauml NihZJ H MJUObn[]ZOslashKj H JU^eNPO^WFJauml[Pcent H NPQcOOaringEFFFG FFFH eacute thorn

timesOslash yuml aacute w$ thorn yuml thorn uacute ouml $ordfdivideacircntilde raquo7ucirc Otilde uacute ouml $ordfdivideoslashuacute ouml $ordfdivideacircyacuteuuml atilde aumlaacute thorn iacute $ w$ thorn yuml ntilde raquo aOtilde SOtimesOslashj atilde aumleacute thorn timesOslash yumlcent aacute w$ thorn yuml uacute ouml $ordfdivideoslashthorn uacute ouml $_divideacirc yuml acirc ntilde raquo ucirc Otilde uacute ouml $ordfdivideoslashuacute ouml $ordfdivideacirc uuml atilde aumlordmaacute ugrave $iacute $ w$ thorn yuml ntilde raquo aOtilde SOtimesOslashj atilde auml JUacutebLNPO H MeJUObn[]ZOslashKj H JUacute^QRhZJUb H fm H MJ_UPJUfR[WbLQ H mUPJUb H [Ph[SX H MeJUacuteNPb H QVUPJOtildebn[]O H []jhXiacutehZ[]Zigravea macr]j(NPO^WNtildeJyO^Oaringaelig Yacuteaagravejaelig agrave aacuteuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yumldacute uuml thorn otilde)yuml eacute aOtilde SOtimesOslashjicircFtimesOslash $ thorn yuml ntilderaquo)aOtilde SOtimesOslashjmiddotQeacute adSi]j

5O H MeJtimesKNih H QsbLjfcNihiexclbLNPYZJIacute[SXIcircntildeaOgravejuaacuteOslashScenteKWFJtimesMNUPJnntilde raquo aOgravejcopyaacute NPO^ H MeJLhZJXiacute[PhZJSeH MeJiexclNP^^Q H QR[]ONPf H JLhlZaringYebn[]ZaringQcO[gXiacutehZ[]Z H MeJ UiNihQcN H QR[]O [SX H MeJiexcl^eJUYbnhQRK H [PhYOcircWQ H MagraveeNihJJjNPf H [gcurrenLJLhZ[^[WNtildeJUPJLheWQsOordmZOslash[]Y H bLNPYZJUYe H MQsYyNP^^Q H Qc[]ONPf H JLhlZoslashQsYyOe[ H

uumlnyacutenthornnyumll13YSordmY_FPy

yenKbrvbarsect =4 acirc $ fhcurrenLJLhZ[^ not [PhaeligJkeNSZOslashKfRJSeampQVXUgraventildea]jaacute yuml Wiexcl cent eshyWiexclQ H MN`KEgrave[]YZQ H QVUPJ bn[]OY H NPO H eQWFJMNUPJSaring

ccedil aacuteFuumlgtthorn timesOslash yuml uumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn otilde)yuml uumlgtthorn otilde)yuml eacute aOtilde SOtimesOslashjicircFtimesOslash $ thorn yuml aOtilde SOtimesOslashj IcircAumlaOtilde SOtimesOslashj cent adSh]j^ ^~IacuteFEumlIgraveFIacute5IgraveFOacuteETHNtildeFETHEacuteshyOacuteAgraven13ETH9 ETH9IgraveumlEumlIgravesup1+ltIgraveFEumltIcircIgraveFETHbIacute5IgraveFETH9shyEacute18 YXqNih0NPY H MeJOBjFZOslashJLhdQcbLNPfeQZOslashKfcJZOslashJUO H N H Qc[]OtimesQsYybn[]ObnJLhOeJU^eSWNtildeJbLNPOZOslash[W^eJUf H MeJNPb H QVUPJaumlbn[]O H []jeh_WQ H MNPOJkBK-fcQcbLQ H KNihNSZOslashJ H JLhdQVcurrenUN H QR[]ObaN[PhNPO[]QcNPOXiacute[PhlZtimesjfcN~VH QR[]OKjaelig[Ph NPO QCZOslashKfcQcbLQ H []OeJraNtildejfRJLhQsNPO Xiacute[PhlZIacutejfcN H QR[]Ogtj^ G JLJra G J H MQcNPOOe5fhSh s jNPO^egraveaJUfcQcO[PJ HH J NPO^ _a[]O H N[]ON H e sSs fjX[PhaeligNPOQcO H JLhZJUY H QcO[eumlbn[]ZOslashKNihdQcY[]OcentEgraveJ H WFJLJUO H MeJ H WNtilde[ZOslashJ H M[B^Y^ iexclO[ H MeJLhOtildeQcO H JLhJUY H QcO[aringhJUBQRJW[]O H MeJtimes^Q=JLhJUO HZOslashJ H M[B^Y[SX$NPb H QVUPJIacutebn[]O H []jehQcY(Kh[PK=[]YZJU^ QcOpoundaw_[]O H N[]ON H J H NPfd^Ve sSs fj^iexclJLhZJSeWFJaumljYJ H MeJaumlfRJUPJUfYZJ H ZOslashJ H Me[W^ NiKKhZ[]NPbdM KhZ[PKEgrave[]YJU^centm q YMeJLhNPO^G J H MQcNPOa q YZMJLh NPO^ G J H MQcNPOe fhSiSi]j centj H hJ[]QR[]OWVcentNPYJU^ NPb H QVUPJeumlbn[]O H []jehdYZaringNmNPfcYZ[ centEgraveJQZOslashKfcJZOslashJUO H JU^7centmjYQcO[`XNtildeV4YK-fcQcOeJUYXiacute[PhaeligNPOJkWKfcQsbLQ H K-NihNSZOslashJnVH JLhQcurrenUN H QR[]O ayhZJUbLQc[]Y[ NPO^XNihfcNPj^Oe sSs fj^shyMJ`PJmeumlQc^eJUN [SX H MeJOslashfRJUPJUfampYJ HZOslashJ H M[B^QsY H [ QcO H hZ[W^jbnJaumlNPO`NPjkWQsfcQcNihYmXiacutejOb H QR[]O l a2atildeltszligaumlgtszligYagravejYZjbdM H MN H YacuteaagravejQcY H MJtcurrenLJLhZ[OacutefRJUPJUfYJ H [SX l ^OcircMJXiacutejOb H QR[]O l QsYaelig[SX H JUO bMe[]YJUO H [centEgraveJ H MeJYZQ[]OeJU^ ^QcY H NPObnJordfXiacutejOb H QR[]O[SXQYacuteaagraveje-NPO^ QsY H MeJUObdMNihNPb H JLhQVcurrenLJU^acentmKaring

YacuteaagravejOcircaacute a2atildeltszligaumljPO l a2atildeshyszligaumlKszligYagravejaacute s a2 s jMQcYOcirc0jfRJLhQcNPOordmXiacute[PhlZtimesjfcN H QR[]O KhZJUYZJUO H YFYJUPJLhNPfEgraveNP^UiNPO H N[PJUYga G J H MQcNPOOeKfhShS]j^not QRhY H fVmSe H MeJabLjehYUPJ l ZaringNmcenthJUN`[PhoZOslashJLhY[PJNPY H MJXiacutejOb H QR[]O l JUP[]fUPJUYeNPO^ H [PK=[]fc[S[]QcbLNPfbdMNPO[PJUYFNihZJ H MBjY$JUNPYZQsfVmOslashMNPO^fRJU^^ G JUbn[]O^fVmSe H MJJUP[]fVUWQcO[XqjOb H QR[]O l a2atildeshyszligaumlKszligYagravejNPfVWNmWY(hZJZaringNPQcOY(NlaquoXiacutejOb H QR[]O NPfcfR[WQcO[timesJltz bLQRJUO H OBjFZOslashJLhVQcbLNPfFYZbdMeJZOslashJUY^OcircMQRh^fVmSe H MeJ[PJL[]ZOslashJ H hQcb KhZ[PKEgraveJLh H QcJUYT[SX H MeJ bLjehYUPJSe$fcQV`PJ H MeJbLjehlU~N H jehJ NPO^ H MeJOslashOe[PhlZ NPfshyUPJUb H [PhordfJUfs^eacute e=bLNPO centEgraveJIacuteJUY H QZaringN H JU^euml^QRhZJUb H fmXiacutehZ[]Z H MeJTfcJUPJUfgYJ H XqjOb H QR[]Oaring aacute V ucirc l l uuml NPO^ eacuteecircaacute l l a2FfjMJJUP[]fsj H QR[]O JBjN H QR[]O H MeJUO centEgraveJUbn[]ZOslashJUYaringaelig l aagravejaelig agrave aacuteegraveccedilacute l a2 jMJregUPJUfR[WbLQ H msup1XiacutejOb H QR[]OxccedilEQcYIacutebn[]ZaringKj H JU^7[]OfVm[]O H MeJbLjehYUPJYacuteaagravejaumlcent-j H WFJbLNPO Jk H JUO^ Q H YFJkBKhZJUYZYZQR[]O H [ H MeJiexclWMe[]fRJUacuteQZaringN[PJOtilde^e[]Z NPQcOoOumlordf^[OslashQZOslashKfRJZaringJUO HH MeJIacutefRJUPJUf9YJ H ZOslashJ H Me[W^OeY[]fsj H QR[]OYuZtimesjY H centEgraveJgXiacute[]jO^ H [ bLQRhbLjZyUPJUO H Kh[PcentfRJZaringY

uumlnyacutenthornnyumll13YSordmY_FP

s $amp)(+-)013021+345627893lt=gt9A6CBbn[]ZaringQsO[ Xh[]Z H MeJpoundXqNPb HH MN H`H MeJYZQV[]OeJU^ ^QcY H NPObnJumlXqjOb H Qc[]O l QcYaOe[ H NY[]fsj H QR[]O[SX H MeJyiexcl a2 jeEgraveYJLJa []ZOslashJUYNPO^ not NPjF[PJLhNPYe sSsSs jyacuteXiacute[Phiexcl^J H NPQcfcY^5Oaelig[]jehWF[PhY`gte H MJuXiacutejOb H QR[]O l QcYamphZJUQsOQ H QcNPfcQcurrenLJU^TY[ H MN H Q H hZJZaringNPQcOYampNOtilde^QsY H NPObnJXqjOb H QR[]OenYZJLJ5aq jecentEgraveJLh H NPO^gcOtilde[PhdOeKhZ[PcentY H e sSs fJLcenthZJUjFUPJSe sSsSs jOXiacute[Ph^J H NPQcfcY[]O H MJOtildehZJUQcOQ H QsNPfcQVcurrenUN H QR[]O JBjN H QR[]OO^5Oeuml[Ph^eJLh H [QCZOslashKhZ[UPJaringOjFZaringJLhQcbLNPfJltz bLQRJUObmSeOWFJaringbn[]ZOslashKj H J H MeJOslashJjN H QR[]O[]O NIacuteONihhZ[Wcent-NPO^aringJUObLfc[]YZQcO[ H MJiexclfRJUPJUf s [SX H MeJUacutefRJUPJUf-YJ H XqjOb H Qc[]OO^ JUacuteNPfcY[jYZJZtimesjf H QRhZJUYZ[]fcj H QR[]O H JUbdMOQBjeJUYcentmZaringN`BQsO[ H MeJFNPb H QVUPJ(bn[]O H []jh$JUP[]fVUPJcopyhY H[]ONOslashfc[W hZJUYZ[]fcj H QR[]O QZ N[PJS^FMeJordfONPfbn[]O H []jeh[Pcent H NPQcOeJU^Xiacute[Ph H MQcYhJU^jbnJU^QZ N[PJaumlQcY H MeJUOjYJU^ NPYNPOQsOQ H QcNPfEgravebLjehYUPJordfXiacute[Ph H MJOtildehZJUNPfgYZQVcurrenLJaumlQCZaringN[PJS^

EparaacuteAgravegtmicrosup1acuteIKJcedilJT2MgtI MraquowMgtmicrosup1MAgravegtacuteIltacuteMgtPltAtilde iquest acuteAgravegtT2MKIshyAtildeAcirccedilAtildeacuteNicircMgtI cedilAEligMgtmicroOcircacuteOgraveJTCJT13MKI sup2OcircacuteJordfsacuteacuteI Jfrac14ltacutegcedilFLT2cedilIshyROgraveacuteAtilderaquoAMLBqoLacute13AtildeR]cedilsup32acute GmicrobcedilAgraveacuteAtilde5O H MQcYUacuteYJUb H QR[]OOeOWFJOslashKhZ[PKEgrave[]YJaeligY[]ZOslashJOslashhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhY H [YJ[iVZOslashJUO H M[]ZOslash[S[PJUOeJL[]jYiexclhZJ[]QR[]OYiexcl[]Ofrac34[PhZJmBYbLNPfRJIacuteQZ N[PJUY^gtMJUYJIacute^eJUYbnhQRK H [PhYiexclNihZJcentNPYZJU^[]O H MJZaringQcOQZaringQVcurrenUN H QR[]O [SX H MeJU~NihdQcNPObnJUYauml[SX H MJ H WF[`bn[]OYZQc^eJLhZJU^OacutehZJnV[]QR[]OY^ 5O H MJ7YJUbn[]O^ K-Nih H e H MJQZOslashKEgrave[Ph H NPObnJOacute[SX H MeJNP^^Q H QR[]ONPf H JLhZaringYebn[]ZaringQsO[XiacutehZ[]Z H MeJiexclU~NihdQcN H QR[]O [SX H MeJUacute^eJUYZbnhQcK H [PhYWQ H M H MeJiexclJUP[]fUBQcOF[IacutehZJ[]Qc[]OYeQcY9MQV[]MfcQ[]M H JU^O^ G QCZOslashKfRJJkWNSZaringKfRJUY9YMe[W H MeJ0QZOslashKEgrave[Ph H NPObnJ$[SX H MeJUYJ0NP^^Q H QR[]ONPfH JLhlZ Y H [ NPbMQRJUPJ H MeJOtildeJkWKEgraveJUb H JU^aYJ[]ZaringJUO H N H QR[]O^^f^laquoIgraveIcirc=KEgrave(FETHOEacuteltEgraveIcircEcircgtNtildeltIcircIgrave8 EacuteshyOacute ETH9Igravek+NtildeshyEgrave13NtildeshyOacute=KIgraveC0EacuteshyEgraveh4ltEgraveOIgravesup1QIcirc=NtildeltEumlOgraveIgrave2Iacute Ntilde4ltIgraveIcircMJQcO H JUOYZQ H mregXiacute[Phu[PhZJmWYZbLNPfRJaumlQZ N[PJUY(QcYhZJLKhZJUYZJUO H JU^centm NlaquoXqjOb H QR[]OOtilderegaringOgraveOumlOtilde 13ordfcentwntilde Otilde 13laquo^ JaKhZ[PKEgrave[]YJ H [bZaringQcOQZaringQVcurrenLJ H MeJU~NihdQcNPObnJUYOslash[SX H MeJ H WF[bn[]OYZQc^WVJLhZJU^ Me[]Zaring[S[PJUOeJL[]jY hZJ[]Qc[]OY QcO [Ph^eJLh H [YJ[]ZOslashJUO H H MeJZ^uMJXiacute[]fcfR[WQcO[^eJUYbnhQRK H [PhY(NihJaumlYZj[S[PJUY H JU^OaringEFG FH uuml thorn UgraveUacuteUuml yuml aacutecntildeaLuOcentUgraveUacuteUuml juuml thorn times Oslash yuml aacutecntildeaLuOcenttimes Oslash juuml thorn otilde)yuml aacutecb a2Ograve]jWMJLhZJjntildea]jQcYNOslashKEgrave[]YZQ H QVUPJordfXiacutejOb H QR[]O [SX$bLfcNPYZYEacuteograve aOtilde 13yj(NPO^kb`NOslashKEgrave[]YZQ H QUPJaumlbn[]OWVY H NPO H ^MJTbn[]ZOslashKj H N H Qc[]O[SX H MeJUPJUfR[BbLQ H mUPJUb H [PhaumlQcY^JU^jbnJU^tXiacutehZ[]Z H MeJIacutebn[]ZOslashK-j H N~VH QR[]O`[SX H MeJaelig^eJLhQVUiN H QVUPJIacute[SX H MeJtimesbnhdQ H JLhQR[]Opoundocirc7^eJUPJUfR[PKEgraveJU^ QcO G JUb^^ macr^feWMQsbMfRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[aeligJUP[]fcj H Qc[]O JjN H QR[]OOaringaelig Yacuteaagravejaelig agrave aacuteethntildeaLu centtimesOslash j ntildeaLu centUgraveUcircUacuteUuml jb ntilderaquo)aLu centtimesOslash jaaOtilde S timesOslash j cent u centtimesOslash j ntilde raquo aLu centUgraveUcircUacuteUuml jaaOtilde SUgraveUcircUacuteUumlj cent u centUgraveUacuteUuml jIcirc13eacute a2Sj

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ fMJiexclYZQcOF[]fRJiexclK-NihNSZOslashJ H JLhcopyWNtildeJOtildeOeJLJU^ H [aringNP^~ZjY H QcY H MeJUacuteYYZOslash[B[ H MQcO[timesKNihNSZOslashJ H JLhb^5OregXqNPb H e H MeJ X [W ethb MNPY H MeJiexclKhZ[PKEgraveJLh H QRJUYNtilde[SXYYZOslash[B[ H MQcOF[IacutecentEgraveJUbLNPjYJOtildeQ H ZOslash[UPJUYH MeJUacutebLjehYUPJUacuteQcO H MeJUacute^QRhZJUb H QR[]O [SX9Q H YfRJUOF[ H MregXqjOb H QR[]ONPfQa G Qs^^QBQeJ H NPfd^VeOfhShS]j^^ ^~IacuteEacuteltEgraveETHOgraveNtildeltOacute=KIgravefrac34Eacute10frac34ETH9Igrave Ntilde8182ETHEacuteshyOacuteNtildeshyEumlETHIgraveFEgraveOIacute5Icirc5O[Ph^JLh H [7JU~NPfcjN H J H MeJ QZOslashKEgrave[Ph H NPObnJ`[SX H MeJ`NP^^Q H QR[]ONPf H JLhlZaringYX[Ph H MeJYJ[]ZaringJUO H N H QR[]OeuWNtildeJpoundZaringN`PJ H MJeumlNPb H QUPJbn[]O H []jehaJUP[]fVUPJ H MehZ[]j[]M H MJ iexcla2SjeQsObLfcj^QsO[ H MeJaumlNP^^Q H QR[]ONPf H JLhlZaringY^ q O H MeJUacute[ H MeJLhMNPO^OeWNtildeJaumlNPfcYZ[ZaringN`PJQ H JUP[]fUPJfrac34WQ H M H MeJwXiacute[]fcfR[WQcO[ WhZ[]OF[JUP[]fcj H QR[]OJjN H Qc[]O H MN H ^e[JUY Oe[ HQcObLfcj^eJ H MeJaumlNP^^Q H QR[]ONPf H JLhlZaringYaringaelig Yacuteaagravejaelig agrave aacuteethntildeaLu centtimesOslash j ntildeaLu centUgraveUcircUacuteUuml j`b Qeacute iuml a2Ogravemacr]jnot [Ph H MeJOtildeJkWKEgraveJLhQZOslashJUO H YeWFJ H N`PJntildeaOgravejOcircaacute ILK KafcediliexclOgravejWMQsbM[]QVUPJUYntilde raquo aOgravejaacutefdOafcedil]j(NPO^ H MeJgUiNPfcjeJOtilde[SX H MeJaumlKNihdNSZOslashJ H JLhEacutebaQcY(YJ HH [frac34f s ^OcirckBKEgraveJLhQCZOslashJUO H Y NihZJ KEgraveJLhYX[PhZOslashJU^ []O NYmWO H MJ H Qcb`QCZaringN[PJumlZaringNP^eJeumljeK [SXTNPO

Me[]Zaring[S[PJUOeJL[]jYYYBjNihZJ[SX9QcO H JUOYZQ H mwf s []O NIacutecentNPbl`[PhZ[]jO^ [SX9QcO H JUOYZQ H mtf s ^ []NPjYZYZQsNPOOe[]QcYJUacute[SXUiNihQcNPObnJ s QcY(NP^^eJU^ H [ H MQcY(YmWO H MJ H QcbOtildeQZaringN[PJS^MeJOtildeJUP[]fcj H QR[]Oa[SX H MeJTNPb H QVUPJtimesbn[]O H []jehUacute^ehQUPJUOcentmpounda2SjQcYu[]QVUPJUO`QcO not QV[^ WMQcfRJ H MeJ[]OeJ`[Pcent H NPQcOeJU^ jYZQcO[ a2Ogravemacr]j QcYordm[]QUPJUO QcO not QV[^ ^ J bLNPO hZJZaringNihY`H MN H WMeJUO H MeJoiexclQsObLfcj^eJUY H MJ NP^^Q H QR[]ONPf H JLhZaringYe H MJ YYBjNihZJ QcYgWFJUfcfYJ[]ZaringJUO H JU^acirca not QV[^ ^bjeuWMeJLhJUNPYWiexclMeJUO H MeJ |iexclD^e[BJUY Oe[ H QsObLfcj^eJ H MeJUYJNP^^Q H QR[]ONPf H JLhZaringYwWFJ7[Pcent H NPQcO N bLQRhbLfcJOacuteQcOY H JUNP^ [SX H MeJ7JkBKEgraveJUb H JU^YYBjNihZJa not QV[^ ^bj^MeJUYJhZJUYZjf H YNtildebLNPOcentEgraveJcentEgraveJ HH JLh(jO^eJLhY H [[W^WMQcfRJNPONPfmcurrenUQcOF[ H MeJiexclUPJUfR[WbLQ H mUPJUb H [PhYUacute[SXNtildeJUNPbMJUP[]fsj H QR[]O JjN H QR[]OO^ Jaringbn[]ZOslashKNihZJ H MeJ H WF[ JUP[]fcj H QR[]OYiexcl[SXH MeJlaquoUPJUfR[WbLQ H mwUPJUb H [PhYauml^jehQcO[ H MeJaeligKhZ[PKN[]N H Qc[]Oeuml[SX H MeJOslashbLjehYUPJwa2WiexclQ H Me[]j HH MeJcentEgrave[]jO^NihYmVcent-NPYJU^ H JLhlZb j^MeJ(JUP[]fcj H Qc[]OOslash[SX H MeJNSZOslashKfsQ H j^eJ[SX H MeJyacuteUPJUfR[Wb|VQ H mregUPJUb H [Ph[SXQ|iexcla2SjFQsY[]QUPJUO QcO not Q[aqYj^ ^ ^OecurrenJSe Xfrac34]eWMQsfRJ H MeJOtildeNSZOslashK-fcQ H j^eJ[SX H MeJUPJUfR[WbLQ H mwUPJUb H [PhOtilde[SX||iexclacirca2Ogravemacr]jiexclQcY []QUPJUO`QcO not QV[aqYj^ ^ ^OecurrenJSe Xfrac34]^ JOslashbLNPO[PcentYZJLhYUPJ H MN HaringH MeJUPJUfc[BbLQ H msup1WiexclQ H Me[]j HaeligH MeJNP^^Q H QR[]ONPf H JLhlZaringY QcYaeligNbn[]OY H NPO HWMJLhZJ [PcentUWQR[]jYfVm H MJaQZaringN[PJfrac34XJUN H jehJUY ^e[OacuteO[ H NiKKEgraveJUNih^ q O H MeJabn[]O H hNihYmH MeJaumlQCZaringN[PJordfXJUN H jhZJUYuWFJUfcfNiKKEgraveJUNihQcO H MeJordfUPJUfR[WbLQ H m QcObLfcj^QcOF[ H MeJaumlNP^^Q H QR[]ONPfH JLhlZ Yya not QV[aqYj^ ^ ^OecurrenJSe Xfrac34jiexclNPO^ Y[ H MeJaumlYljNihJTbLNPO centEgraveJordfWNtildeJUfsfYJ[]ZOslashJUO H JU^O^MeJyKhZJUWQR[]jYEgravehJUYZjf H YgYMe[W H MN H Q H QcY[SXeKhQCZOslashJ$OeJUbnJUYZYZQ H m H [ H N`PJQcO H [NPb|Vbn[]jO H0H MJNP^^Q H QR[]ONPf H JLhZaringYeWbn[]ZaringQcO[XhZ[]Z hZJ[]QR[]OeV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhYeQcO[Phd^eJLh H [ hZJUNPbdMaN H hdjeJgZaringQcOQCZIacutejFZ [SX H MeJaumlbnhQ H JLhdQR[]OO^

uumlnyacutenthornnyumll13YSordmY_F

S $amp)(+-)013021+345627893lt=gt9A6CBEIumlparaacuteAgravegtmicrosup1acuteIKJcedilJT2MgtI MraquoordfAEligMgtsup32MLwMKmicrobMgtAgraveacuteIshyacuteMgtPltAtilde iquest acuteAgraveKT13MKIshyAtildeAcirclaquocedilFAtildeacuteNicircMKIJfrac14ltacutepoundAEligMAringcedilFLT2cedilIltR]acuteHcedilJLTOcircfrac12sup3T13ROgravecedilJT2MgtI JMAgraverltcedilFR]acuteacuteJacuteR]JT2MgtIicircT2ItT2NQacuteM paraacutePshyacuteIltR]acuteAtildeMQcY0K-Nih H ^eJUNPfcYWQ H M H MeJOtildeYJ[]ZOslashJUO H N H QR[]O [SXMe[]ZOslash[S[PJUOeJL[]jY(hZJ[]QR[]OYQcOZtimesjfuVH QcYZK=JUb H hdNPfQZaringN[PJUY^ YNPOaJkWNSZaringKfRJSeWFJIacuteYZMe[W H MN HiexclH MeJTbn[UiNihQcNPObnJZaringN H hQVkbLNPOacent=JIacuteNUPJLhYm KEgrave[WFJLhYXqjf H [B[]f H [ YJ[]ZOslashJUO H Me[]Zaring[S[PJUOeJL[]jYbn[]fR[PhiexclhJ[]QR[]OY^F5OXqNPb H e H MeJtimes^eJ H JLhlZaringQsONPO H [SX H MeJTbn[U~NihQsNPObnJZ N H hQkKhZ[UPJUY H [ centEgraveJIacuteNaringhJUfRJU~NPO Hbn[]fR[PhaelighZJ[]Qc[]O7M[]ZOslash[S[PJUOeJUQ H msup1ZOslashJUNPYZjhZJZOslashJUO H a G NPO[SWQcOeJ NPO^r[PhdOeJSeufhShSi]j^_`QcOQZ QVcurrenUQcO[ H MQcYjNPO H Q H m ZOslashJUNPOY H MN H WFJwWNPO HH [^eJUbnhZJUNPYJ H MeJeumlbn[]ZaeligVKfcJkWQ H m[SXUacuteNeumlhZJ[]QR[]Oa hdNmJ H NPfd^Ve sSs fampN H JUjke sSsSs j^MQcY H [B[]fuZaringNmKhdNPb H QcbLNPfcfVm cent=JaumljYJU^X[Ph XiacuteNPbnJtimes^eJ H JUb H QR[]OaQsO QZaringN[PJaumlYJBjeJUObnJUY^macr^f^laquoIgraveIcirc=KEgrave(FETHOEacuteltEgraveIcircEcircgtNtildeltIcircIgrave8 EacuteshyOacute ETH9IgraveAgrave=Eacute3+NtildeshyEgrave13NtildeshyOacute=KIgravefrac34Iacute_NtildeFETHEgraveEcirc20EacuteshyEgrave=EacuteshyEumlEacuteshyEgrave2Iacute Ntilde4ltIgraveIcircMJQcO H JUOYZQ H mxXiacute[Ph bn[]fR[Ph QCZaringN[PJUYaringQcYOslashhJLKhZJUYJUO H JU^centm7NpoundXiacutejOb H QR[]OOtildeegravearingOumlOtilde 13ordfcent ntilde Otilde 13 WMeJLhZJ Otilde aacute Otilde szligYOtildeOgravecentszligYOtilde13ordf ^iexclXm NPONPfR[S[SmAumlWQ H M H MeJOacuteY H j^Fm Xiacute[Ph[PhZJmWYZbLNPfRJFQZaringN[PJUYeWNtildeJZaringQcOQCZaringQVcurrenLJ H MeJNtilde^J H JLhlZaringQcONPO H [SX H MeJFbn[UiNihQcNPObnJcopyZaringN H hQVk[SX H MeJTbn[]OYQc^eJLhZJU^hZJ[]Qc[]OY^ J5ZaringNmaringNPYYZjFZOslashJ H MN H JUNPbdM bn[]fR[PhFhZJ[]QR[]Oacute13 QsYOcircZOslash[W^eJUfcfRJU^OslashcentmOslashNg[]NPjYYZQcNPO^QsY H hQRcentj H QR[]Oeuml[SXyacuteZOslashJUNPOiexclSegraveaacute S szligPS cent szligPS NPO^7bn[UiNihQcNPObnJZ N H hQk5^MeJKh[PcentNicentQcfcQ H maring^eJUOYQ H moXiacutejOb H QR[]O QcYu[]QUPJUO centm H MeJgXiacute[]fcfR[WQcO[aeligJkWKhZJUYZYQR[]OOaring

$ampamp aOtildejOcircaacute fa )( j +cent aq^J H ayacutejj cent JkWK- f aOtilde Sltj thorn aOtilde Sltj a2Ograve]jG [eZaringQcOQZaringQVcurrenUQcOF[ H MJbn[U~NihdQcNPObnJuZaringN H hQktimes^eJ H JLhlZaringQcONPO H [SX-NPOtimesJUP[]fVUWQcO[hJ[]QR[]ONiKKEgraveJUNihY H [OslashcentEgraveJNtimeshZJUfcJU~NPO HH [[]f H [ordmZaringN`PJ H MQcYFhZJ[]Qc[]O bn[]OUPJLhY[PJ H [WFNih^Y H MeJbLfR[]YZJUY H Me[]ZOslash[S[PJUOeJL[]jYbn[]fR[PhiexclhZJ[]QR[]OO^9J H jY$Oe[ H J timesOslash NPO^0copyUgraveUcircUacuteUuml H MJbn[UiNihQcNPObnJ5ZaringN H hQcbnJUYy[SX=hJUYKEgraveJUb H QVUPJUfVmordmOuml timesOslash aagravejNPO^tOuml UgraveUacuteUuml aagravejaring

atilde aacute213 u Patilde u centatilde u atildeu cent atilde u centcentatilde u cent4atildeu5 atilde u5centatilde u54atilde67 a2zSj

WMJLhZJSaringEFFG FFH u times aumlatilde aacute iacutefaring w aring thorn yuml aOtilde times S times atilde jaOtilde auml S auml atilde j atilde aumlS times atilde aacute iacutefaring w aring thorn yuml Otilde times a2atildeltszligaumlj atilde auml WQ H M aacuteiVIgraveOacute[Ph Kf5

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ J [PcentUWQR[]jYZfm`MNUPJacuteu times aumlatilde aacuteu auml timesatilde ^shy9J H jYaumlO[ H J ^eJ H a atilde j H MJ ^eJ H JLhlZaringQsONPO H [SXH MeJaumlbn[U~NihdQcNPObnJZ N H hQkWiexclMQcbMJkBKhJUYZYZQR[]O QcY H MJgX[]fsfR[WQsO[aring

^eJ H a atilde jumlaacute u Patilde u centcentatilde u 4atilde u centatilde u atilde u cent4atilde u Patilde u cent4atilde u cent4atilde u centcentatilde u atilde u atilde u 4atilde u centatilde u centatilde a2Ogravei]jnot jOb H QR[]OY [SX H MeJeumlbn[UiNihQcNPObnJpoundZaringN H hQk ^eJ H JLhZaringQcONPO H YNihZJ jYJU^ NPY hJ[]QR[]O^eJUYbnhQRK H [PhY^ JIacutebMe[B[]YJ H MJordfX[]fcfc[WQcOF[aeligYZJ H [SX$^eJUYZbnhQRK H [PhYaringEFG FH uuml thorn UgraveUcircUacuteUuml yuml aacute98ordfaq^eJ H acopyUgraveUcircUacuteUumlAjjuuml thorn timesOslash yuml aacute98ordfaq^eJ H a timesOslash jjuuml thorn otilde)yuml aacuteOslashb a2Ograveh]jWMJLhZJ8ordfaOgravejFQcYNOslashKEgrave[]YZQ H QVUPJiexclXiacutejOb H QR[]O [SXampbLfcNPYZYograve aOtilde 13yjFNPO^Cb`NOslashKEgrave[]YZQ H QVUPJOtildebn[]OWVY H NPO H ^gJ H jYNtildeOe[W WhQ H J H MeJJUP[]fcj H Qc[]OaringJBjN H QR[]O [SX H MeJiexclNPb H QUPJbn[]O H []jehcentmbn[]ZOslashK-j H QcO[ H MJIacute^QEgraveJLhZJUO HH JLhlZaringYiexcl[SX_a j^J H NPQcfcYiexcl[SX H MeJIacutebn[]ZaringKj H N H QR[]O bLNPOcentEgraveJgXiacute[]jO^QsOaNiKKEgraveJUO^QVk X5^gtMJaumlJUP[]fcj H QR[]O`JBjN H QR[]O[SX H MJIacuteNPb H QVUPJaeligbn[]O H []jhQcY H MJgX[]fsfR[WQsO[aringaelig Yacuteaagravejaelig agrave aacute8gaq^eJ H atimesOslashjj 8ordfaq^eJ H a UgraveUcircUacuteUuml jj`b admacr s jlt8Icircraquodaq^eJ H a times Oslash jgt= ccedil A B egrave aOtilde S timesOslash jaOtilde B5 S BtimesOslash jB^eJ H aDC EBtimesOslash ja fj BGFH amp^eJ H atimesOslashj48 raquo aq^eJ H atimesOslashjj 8Icircraquodaq^eJ H a UgraveUacuteUuml jgt= ccedil I B egrave aOtilde Eacute S UgraveUcircUacuteUuml jaOtilde B S BUgraveUcircUacuteUuml jB^eJ H aDC JBUgraveUacuteUuml ja fj BKFH amp^eJ H a UgraveUcircUacuteUuml j48 raquo aq^eJ H a UgraveUcircUacuteUuml jjcedil13eacuteMJZaringN H hdQkLC JBatilde QsY ^JU^jbnJU^icircXh[]Z H MJeumlbn[U~NihdQcNPObnJbZaringN H hdQkM atilde centm YZjeKeVKhJUYZYZQcO[ H MeJ uuml UumlON hZ[WENPO^ H MeJ I UumlON bn[]fcjFZaringO^MeJeumlfcNPY H Xiacute[]jeh fsQcOeJUY [SX H MeJJBjN H QR[]ONihZJ H MeJOtildeNP^^Q H QR[]ONPf H JLhZaringY(bn[]ZaringQcO[XiacutehZ[]Z H MeJiexclU~NihQsN H QR[]O [SX H MeJOtilde^eJnVYZbnhdQRK H [PhYWiexclQ H Mordmagrave^ Y0Q H MNPYycentEgraveJLJUOOslashKhJUBQR[]jYZfVmTKhZ[UPJU^X[Ph[PhZJmWYZbLNPfRJiexclQCZaringN[PJUYeH MeJUYZJ H JLhlZaringYMNUPJ H [ cent=Jaumlbn[]OYZQc^eJLhZJU^ QsO[Ph^eJLh H [regZ N`PJ H MeJTNPb H QUPJTbn[]O H []jhbn[]OUPJLhY[PJ H [WFNihd^YNZ QcOQZtimesjFZ [SX H MJTbnhQ H JLhQc[]OO^macr^ ^~THORNUgrave2FIgraveFEgrave2Iacute_IgraveFOacuteshyETHOgraveNtildeshyEumlEgraveOIgraveIcircdEumlETHOIcircnot [Ph H MJ JkWKEgraveJLhQZOslashJUO H YeQWNtildeJ H N`PJCntildea]jordmaacute ILK Kaf[]jgWMQsbMsup1[]QVUPJUYnntilde raquo aOgravejaacutefdOafWOgravej(NPO^8ordfaOgravejaacute ILK KafIcirch cent juWMQcbdMt[]QVUPJUY8 raquo aOgravejaacute ETHOafIcirch cent j^ JbdMe[[]YZJ bbaacute f s ^QMeJaringbn[]fR[PhtimesYKNPbnJ YJUfcJUb H JU^QcYaQPszlig l szligicirclaquojeltWMeJLhZJwaOtilde aacuteRPordmjhZJLKhZJUYJUO H Y H MeJfsjFZaringQcONPObnJNPO^waOtildeOgravecent5aacute l j$NPO^frac34aOtildeS aacuteOslashicircj$hZJLKhZJUYJUO HyH MeJ H WF[bdMehZ[]ZaringQcONPObnJUY^ not [Ph H MeJbn[]ZaringKj H N H QR[]OOslash[SX H MeJuUiNihQcNPObnJSei[]Ofm H MeJfcjZaringQcONPObnJQcY(jYJU^O^

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CB5Oaring[Phd^eJLh H [aeligYJ[]ZOslashJUO H NPO Me[]ZOslash[S[PJUOJL[]jY0hJ[]QR[]OOeOgraveWFJiexclY H Nih H WQ H M NPO QcOQ H QcNPf

bLjehlUPJ0QcOYZQs^eJ H MJ0hZJ[]QR[]Oauml[SXWQsO H JLhZJUY H ^MeJybLjhYUPJ0QcY H MJUOTYZjeKK=[]YZJU^ H [JkWKNPO^jO H Qcf(Q H hJUNPbMeJUY H MeJ centEgrave[]jO^NihlmOacute[SX H MeJabn[]ObnJLhdOeJU^ Me[]Zaring[S[PJUOeJL[]jYaringhJ[]QR[]OO^MJtimesbLjehlUPJtimes^e[BJUYUacuteOe[ H [P[cent=JmP[]O^ H MJUYJaeligcent=[]jO^NihQRJUYiexclYZQcObnJSe=[UPJLh H MeJLhZJSe H MeJbnhQ H JLhQR[]OOacuteQsObnhZJUNPYJUYtimescentEgraveJUbLNPjYJ H MeJU~NihdQcNPObnJOcircu centtimesOslash [Ph H MeJ bn[U~NihdQcNPObnJtZaringN H hQVk^eJ H JLhZaringQcONPO H ^eJ H atimesOslashjUcirccentOtildeQsObnhZJUNPYJS^MeJaringNPfV[P[PhQ H MZEcentNPYJU^[]O H MeJ bn[UiNihQcNPObnJZaringN H hQVkeumlQcYaumlK=JLhlX[PhlZaringJU^euml[]ONPOQZ N[PJ [SX H MeJUBQs^eJL[`YJBjeJUObnJrnN`WQVmP[]peumlQcO[Ph^JLh H [euml^eJ H JUb HaeligH MeJYKEgraveJUN`PJLhUTYXqNPbnJS^gtMJaumlJUP[]fcj H QR[]O[SX H MJIacutebLjehYUPJIacuteQcYu[]QVUPJUO QcO not QV[^ macr^gtMeJTbn[]O H []jehiexclJUP[]fUPJUYH [ONPfcfVmbn[]OUPJLhY[PJaelig[]O H MeJIacutecent=[]jO^NihQRJUY[SX H MJyXqNPbnJa not QV[^ macr^bj^OMeJyXiacuteNPbnJaeligQcYH MeJUONPbLbLjehdN H JUfVm YZJ[]ZOslashJUO H JU^^FMeJUacuteNSZOslashKfcQ H j^eJ[SX H MeJiexclUPJUfR[BbLQ H m QsYFNPfsY[laquo[]QVUPJUOQcO not QV[aqYj^ macr^ ^OecurrenJSe Xfrac34jNPO^WNtildeJUacutebLNPO [PcentYJLhYUPJ H MN HFH MeJ5XiacuteNPbnJUacutehZJ[]QR[]O QcYUPJLhYmWFJUfcf^eJUfsQZaringQ H JU^regXhZ[]Z H MJ[ H MJLhhZJ[]QR[]OY^MJ5UPJUfc[BbLQ H m[]QUPJUO QcO not QV[aqYj^ macr^ ^OecurrenJSe XQcObLfcj^eJUY H MeJNP^^Q H Qc[]ONPf H JLhlZaringYFbn[]ZaringQcOF[yXiacutehZ[]Z H MeJ5UiNihQcN H QR[]O [SX H MeJiexcl^eJUYbnhQRKeVH [PhY5WQ H Magrave`centj H ^e[BJUYOtildeOe[ H QcObLfcj^eJ H MeJaeligcentEgrave[]jO^NihlmVcentNPYZJU^ H JLhlZ WMQcbMeumlQcYUacuteNYYZaring[[ H MQsO[ H JLhlZ^KMeJtimesNSZOslashKfcQ H j^eJOtilde[SX H MeJyUPJUfc[BbLQ H maQcYiexclOe[PhlZaringNPfcQcurrenLJU^ centEgraveJ H WFJLJUOs NPO^ macrSmacre$YZjbdM H MN HTH MeJ OeJ[]N H QVUPJoU~NPfcjJUYIacuteNihZJ fR[WFJLh H MNPO f i`NPO^ H MeJKEgrave[]YZQ H QUPJ[]OJUYNihZJTMQ[]MeJLh H MNPOpoundf i^ J bLNPObn[]ZaringKNihZJ H MJ QcOQ H QsNPfUPJUfR[BbLQ H m[Pcent H NPQcOJU^jYZQcOF[ H MeJ bn[U~NihQsNPObnJZaringN H hdQk admacr s juWQ H M H MeJOtilde[]OeJOtilde[Pcent H NPQcOeJU^jYQcO[ H MeJordfUiNihQcNPObnJrega2Sj^KMeJordfXqNPbnJTQcYOe[ H WNtildeJUfsf9^eJ H JUb H JU^QcO H MeJUPJUfR[BbLQ H m[Pcent H NPQsOeJU^ajYQcO[ H MeJUiNihQcNPObnJa not Q[^ ^bjWMJLhZJUNPYIacuteQ H QcYIacutehZJUNPfcfmumlWNtildeJUfcfF^eJ H JUb H JU^QsO H MeJQcOQ H QcNPfUPJUfR[WbLQ H m7jYZQcOF[ H MeJbn[iVUiNihQcNPObnJpoundZ N H hQk a not QV[^ ^currencentj^_MeJ UPJUfR[WbLQ H m [Pcent H NPQcOeJU^ jYZQsO[ H MeJumlU~NihdQcNPObnJ^e[BJUYOe[ H NPfsfR[W NPOJltz bLQRJUO H YJ[]ZOslashJUO H N H QR[]O`[SX H MeJyXiacuteNPbnJauml[]O H MeJaumlbn[]O H hNihYm H [H MeJIacutebn[UiNihQcNPObnJlaquoZaringN H hQk^eJ H JLhZaringQcONPO H WMQsbM H N`PJUYUacuteNP^UiNPO H N[PJaelig[SX H MeJtimesbn[]fR[PhQcOFX[PhlZ N H QR[]OO^macr^ ^WVFEumlETH=gtNtildeFETH32EacuteltOacuterETHEacute`0Ntilde=KIgravek8ltIgraveFETHIgrave5=KETH32EacuteltOacute~2Oacute+(8ltIgraveEacute IcircIgrave5euml1IgraveFOacute=KIgraveIcircMJa^eJUYZbnhQcK H [PhYOslashcentNPYZJU^[]O H MJ`bn[UiNihQcNPObnJZaringN H hdQkNihJ`QZOslashK-fRJZOslashJUO H JU^ H [^eJ H JUb H MBjFZaringNPO XqNPbnJUYQcO UWQc^eJL[OacuteYJBjeJUObnJUY^MQsYaring^eJ H JUb H QR[]OegraveZaringNm cent=J`jYJU^Xiacute[PhtUWQc^eJL[ bn[B^QcO[ H [JUObn[W^eJYJUfcJUb H QVUPJUfVm H MeJOacuteMBjFZaringNPOegraveXqNPbnJS^ not [Ph`N []QVUPJUObn[]ZOslashKhZJUYZYZQR[]OOacutehN H QR[e H MeJoXiacuteNPbnJbLNPO7cent=J H hNPOYYZ Q HH JU^bWiexclQ H MN MQV[]MJLhThN H J H [H MeJ^eJ H hdQZOslashJUO H [SX H MeJcentNPbl`[Ph[]jO^O^uMQsY QsO H JLhZJUY H QcO[KhZ[PKEgraveJLh H m QcYUiNPfcjWVNicentfcJuX[PhUBQc^JL[Bbn[]OXiacuteJLhZJUObnJUYe]WMeJLhZJ H MeJ ZOslash[]Y H QZOslashKEgrave[Ph H NPO H NPO^regZOslash[]Y H U~NihdQcNicentfRJQcOFX[PhlZ N H QR[]OQcYfR[WbLN H JU^ []O H MJordfXiacuteNPbnJaq 5ZOslash[]Oe[]j`NPO^tUacutejMNSZaringJUfde sSsSs j^ J QcOQ H QcNPfcQVcurrenLJ H MJhdY H XiacutehNSZOslashJoWQ H M7N`bLQchbLfRJ QsOYZQc^eJ H MeJXqNPbnJ H [ H hNPbY`K^MJUOOeyacuteWFJsup1ZaringN`PJ H MeJNPb H QVUPJ7bn[]O H []jeheumlJUP[]fVUPJjYZQcOF[admacr s jeiexclWQ H MX8ordfaOgravejxaacuteILK KafUgravemiddot cent j^ltMeJregONPfybn[]O H []jehtimes[SX H MeJ bLjehZhJUO H QZaringN[PJ QcY H MeJUOOacutebdMe[]YJUO7NPYNPO QcOQ H QcNPfbLjhYUPJordfX[Ph H MJUacuteOJk H QZaringN[PJS^FMeJOtildeNPfV[P[PhQ H MFZMNPYcentEgraveJLJUOKEgraveJLhYXiacute[PhlZOslashJU^[]OYJUPJLhdNPf$YJjJUObnJUY^MeJaelighZJUYjf H Y5X[Ph H MJaeligYZJjeJUObnJpoundn5JLhQV`p NihJordm[]QVUPJUOQcOnot QV[^ethz^shyMeJaringKNihNSZaringJ H hZJ bMNPYaumlcentEgraveJLJUOYZJ HaumlH [sup1f s ^QMeJordmXqNPbnJ QcYordfWFJUfcfy^J H JUb H JU^NPO^ H hNPbY`PJU^times[]O H MJ|WMe[]fcJyYJjJUObnJS^MJyhZJUYZjf H YOX[Ph H MeJNtildeYZJjeJUObnJnN`WQVmP[]p

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ macrNihZJy[]QVUPJUO`QsO not QV[^ i^ JaeligbMe[B[]YJbaacute s ^ JtimesbLNPO`YJLJ H MN HH MeJXiacuteNPbnJaeligQcYuWFJUfcf^eJ H JUb H JU^aJUPJUOaQVX H MeJaumlbn[]fR[Phiexcl[SXMJLhYZMQRh H QsY(bLfR[]YJ H [ H MJgXiacuteNPbnJIacutebn[]fR[Ph^

YOEAEligMgtIltROgravesup3PshyAtildeT13MKI5O H MQcYKNiKEgraveJLheuWNtildeJKhZ[PKEgrave[]YJN OeJW 0jfRJLhQcNPOAumlZaringQsOQZaringQVcurrenUN H Qc[]OAumlZOslashJ H Me[W^ H [bn[]ZOslashK-j H J H MJUPJUfR[WbLQ H mpoundUPJUb H [Pharing[SXNPONPb H QVUPJ bn[]O H []jeh H MN H JUOYZjehZJUYtimesQ H WQcfcfJUP[]fVUPJ NPYordfXiacuteNPY H NPYOtildeKEgrave[]YZYZQRcentfcJ H [WNih^YIacuteNZaringQcOQCZIacutejFZ [SXN bnhQ H JLhQR[]OeumlQcObLfcj^QcOF[centEgrave[ H MUacutehZJ[]QR[]OeVcentNPYJU^TNPO^OtildecentEgrave[]jO^NihYmVcentNPYJU^ H JLhlZ Y^ q jehgNiKKhZ[]NPbMIacuteQcYcentNPYZJU^Otilde[]OYZMNiK=J[PK H QZaringQVcurrenUN H Qc[]OOslashKhQcObLQRKfRJUY$NPO^ QcYyKEgraveJLhYXiacute[PhlZOslashJU^ QcO H MehZJLJ5ZaringNPQcO Y H JLKYaringf^ltO H hZ[W^jb H QR[]O[SX$NOslash^mWONSZaringQcbLNPfYbMeJZOslashJIacuteQcO H MeJTbnhQ H JLhQR[]OOe ^vF[]ZOslashKj H N H Qc[]Oaelig[SX H MeJ_0jfRJLhdQcNPOaelig^eJLhQVUiN H QVUPJ[SX H MJbnhQ H JLhQR[]OOslashjYZQcO[OtildeYZMNiKEgraveJ

[PK H QZaringQVcurrenUN H Qc[]O H [[]fcYe^vF[]ZOslashKj H N H Qc[]Oa[SX H MeJtimesJUP[]fcj H Qc[]OaJBjN H QR[]O`[SX H MeJaeligNPb H QVUPJtimesbn[]O H []jehiexclXiacutehZ[]ZH MeJT^eJLhQU~N H QVUPJS^

iexcl Ntilde _ cent G NPfcfR[WY H [hJUNP^QcfVm H N`PJNtildeQcO H [NPbLbn[]jO H9H MeJybLNPYJ0[SXBhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H^eJUYbnhQRK H [PhY H MN H NihZJo[]fR[PcentNPfcfVmN HH NPbdMeJU^ H [ H MeJ JUP[]fVUWQcO[ hZJ[]QR[]OYtimesNPO^Y[H MN H UiNihYm^jehQsO[ H MJaumlKhZ[PKN[]N H Qc[]O [SX H MJaumlbLjehYUPJS^ JTYMe[W H MN HH MeJgUiNihQuVN H QR[]O [SX H MeJUYJ^JUYZbnhQRK H [PhdY QsO^jbnJUYNP^^Q H QR[]ONPf H JLhlZaringYQcO H MeJeumlJUP[]fcj H QR[]OJBjN H QR[]Oeuml[SX H MeJaringNPb H QVUPJ bn[]O H []jeh^MJUYJ H JLhlZaringYgZtimesjY H Oe[ H centEgraveJlaquoX[Phl[P[ HH JUOQcO[Ph^JLh H [ hZJUNPbMeumlN H hjeJZ QcOQZtimesjFZ[SX H MeJtimesbnhQ H JLhQc[]OaNPYUacuteQ H MNPYcentEgraveJLJUOKEgrave[]QcO H JU^[]j H QsOJkBKEgraveJLhQZaringJUO H NPfEgravehZJUYjf H Y^

Yfrac34XiacuteNiheumlNPYeumlMe[]ZOslash[S[PJUOeJL[]jYeumlbn[]fR[PheumlhZJ[]Qc[]OY`YZJ[]ZOslashJUO H N H Qc[]OQsY`bn[]ObnJLhdOeJU^OeWFJKhZ[PKEgrave[]YJ H MeJ`bn[U~NihQsNPObnJfrac34ZaringN H hdQk^eJ H JLhlZaringQcONPO H NPY N^eJUYbnhQRK H [Ph^MQcYY H N H QsY H QcbLNPfhZJ[]QR[]OeV4^eJLKEgraveJUO^eJUO H ^JUYZbnhQRK H [PharingNiKK=JUNihdY H [centEgraveJN UPJLhlm7hJUfRJU~NPO HH [B[]fampNPO^eumlY[ Q H MNPYUacutecent=JLJUOeumlYZjbLbnJUYZYXqjfcfVm NiKKfsQRJU^ H [XqNPbnJaring^eJ H JUb H QR[]OQcOfrac34UWQc^eJL[YJBjeJUObnJUY^

iquest acuteraquoacuteLacuteIltR]acuteAtildeagraveIgravefrac14dEcircsup1Atilde5AringiquestLmiddotNtildeIumliquestUumlgIumlUTHORNampAtildeEacutecedilAtilde5AringAcircnAtilde|iquestaacuteIacuteIumlIZEgravefrac14Zcedilfrac12frac14dAringiEcirc]iquestfrac14draquoiEcirc[NtildeIumlagraveAringEacutePAtildecedilwAacute4] uacute_^J^J^ iquest)` igraveraquoLCcedilfrac14cedil4Ecircfrac14draquo~Ecirc(Auml|AringAacuteCcedilfrac14Zcedil4Ecirc

Agrave5AringcedilAcircnAtilde$AtildeAcircnAuml|frac12AringAacutesup1AumldraquoTAringAEligwsup1raquo~ordm(frac12Atilde5AcircnAtilde5frac12AEligwAtildeAacuteampIgrave(Atilde AacuteIcirc~AumlUEcircSaIumligraveraquo13] x4~rv p4PldrRtcoPl|Egraveod5v pv i4vodaumlx4shyl not vsectpqo v tu not Iumlcb$Auml|EacutePAtilde|iquestednfrac14Oumlifrac14draquoIuml

agraveIgrave(Aumldraquo~Auml|Aringiquest~igrave4IumlPfrac14raquoiEcircfWIumliTHORNampAringIcircifrac14Igrave(Atilde5frac12G] divideugrave|ugrave|ugrave iquest` igraveAacuteAtildecedil4frac14ZAacutesup1Acirc|AtildeNtildeEacute~frac14dAgrave4UgraveUCcedilEgravefrac14cedil4EcircUacuteAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoUacuteOgraveregAumldcedilIcirc~sup1Atildecedil4frac14cedilAgrave4Icirc~sup1currenEumlAgravefrac14dfrac12=CcedilEgravefrac14AcircnAtilde5frac12AtildeAacutesup1Igravefrac14ordm|AtildeAgrave5AumlUEcircsup1raquo~ordmIaIumlaeligigraveiacuteraquoS] x4rv p ildrRtcodil|ampod5v pv P4vOtildeodOslashx4shy(l not vFsectpqo v tu not Iumlg frac14raquo~Agrave5AumldAring~AcircnAtildecediliquestehEgravefrac14raquoifrac14|Ecircfrac14Iuml

agraveAringEacutePAtildecedilwAacuteiquest[NtildeIumlWfrac14raquoiEcircifWIuml13b$Aumldcedilraquo~OumlcedilAuml|EacuteAEligqAacute4] divideugrave|ugraveuacute iquestkj ldrregv shy(ldrRtcl|ipwonm5v shyNtildetuOslashtushyl not vampipwo4v tu not sect9ldp4rRtcl|Egravedt lv pv ~rRtRl|9vDm~lrRtcod~ldiTrreg~vUacutel| Uiexcloqnldp4tcldrRtRod~ iquestpoAumlIuml uacute_qEr IumlOslashagrave9Ouml~Oumlfrac12sup1AtildeEcircaacuteUacutefrac14AacuteIcirc~AtildeIgravefrac14Aacutesup1Agravefrac14dfrac12BatildeAgravesup1Atilderaquo~Agrave5Atilde5AElig5iquestPatildeOumlcedilsup1raquoordm|Atildecedil g Atildecedilfrac12frac14dordmIumlhEgravefrac14dAEligwAtilde5frac12frac12Atilde5AElig5iquest g Iumliquest~szlig0Iumleb$sup1Igrave(Igrave(Atilde5frac12Riquestifrac14raquoiEcirc[NtildeIumlatildefrac14dOumlsup1cedilAumlI] uacute_^J^Er iquest`s[Atilde5AumlUEcircAtilde5AEligwsup1AgraveFfrac14dAgraveAacutesup1AcircnAtildeyAgrave5AumldraquoUAacuteAumldAringcedilAElig_aIuml x4~rv p4PldrRtcodPldpoundUodUp4Pl|WoqodshyiUrv paumlumltutcodutet13v uacute+w iquestex uacuteyIrz^ Iuml

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CBh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34LiquestBagraveyIumlWfrac14raquoiEcircidIumlBTHORNampAringraquo~Agravefrac14raquo13] uacute4^z^J^ iquest`[ampfrac14Igrave(AtildeEumlcAacuteIcirc~Atilde5AumlcedilAtildeAacutesup1Agrave(sup1raquoUAacuteAtildeordmdcedil4frac14Aacutesup1AumldraquoaeligOgraveuAumldcedil0sup1Igravefrac14dordmdAtildeAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIuml xQ|||~pwl~ lnrRtcodNtildeodiexclsect9lrRrv p auml9Pl| ~tuyldi j l|4Utu]vx4~rvreg t not v P4v Iumlh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34Liquestgagrave0IumliquestIumlgatildeUAacute4frac14dsup1Eacuteiquest9frac14draquoiEcircdIuml9THORNampAringraquo~Agravefrac14raquo13] uacute_^J^ xiquest` THORNampAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeIacuteEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34iraquo~Ecircsup1raquo~ordmsup1raquoIgrave(AtildeEcircsup1Agravefrac14frac12iexclsup1Igravefrac14ordm|Atilde5AEligaringEacuteLfrac34Oacutesup1raquoLAacuteAtilde5ordmcedil4frac14Aacutesup1raquo~ordm ordmdcedil4frac14|Ecircsup1Atilde5raquoLAacute frac14raquoiEcirccedilAtilde5ordm|sup1Auml|raquo sup1raquoOgraveuAumldcedilIgravefrac14ZAacutesup1Auml|raquo13aIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu notI iquesteE ^4y rdugrave Iumlh=Icircifrac14raquoiquestBETHIumlWfrac14raquoiEcircIuml g Atilde5AEligwAtildeJ] dividedugravedugraveuacute iquest` agraveAgraveAacutesup1AcircnAtildeFAgrave5Auml|raquoLAacuteAuml|AringcedilAElig$Ccedilgsup1AacuteIcircAuml|AringAacuteNtildeAtilde5Ecircordm|AtildeAElig_aIuml xQ||k|~pwld lnrRtcododUacutex4shy(l not v9sectpqo4v 4tu notuU v divideJw iquest divide xJx ydividezrJr Iumlh=Icirc~Atilde5AEligwraquo~frac14dAring~EcirciquesthIumliquestfWIuml=szligAtildeOgraveYacutecedilIAtilde5ordm|sup1Atildecediliquestfrac14draquoiEcirc g Iuml5Z=AumldAring~frac12AtildeAacute4] uacute_^J^z^ iquest`currenatildeUAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12cedilAtilde5ordmdsup1AumldraquoAEligwraquoifrac14dUgrave|AtildeEumlsEacuteifrac14dAEligwAtilde5EcircAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquofrac14|Ecircfrac14dOumlAacuteAtilde5EcircFAacuteAumlyEcircsup1s]AtildecedilAtilde5raquoLAacute-Ouml~IcircLfrac34AEligwsup1Agrave5frac14dfrac12~raquoAuml|sup1AEligwAtilde9Igrave(AumlUEcircAtilde5frac12AElig_aIuml xQ||k|~pqld~ lnrRtco~$osect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4vt iquest uacute|uacute_q y~uacute|uacute xIumlh=Auml|IcircAtilde5raquoiquestIuml] uacute4^z^uacute iquest`currenmiddotraquofrac14dAgrave Aacutesup1Acirc|Atilde Agrave5AumldraquoLAacuteAuml|AringcedilIacuteIgrave(AumlUEcircAtildefrac12AEligtimesfrac14draquo~EcirceumlEacuteifrac14dfrac12frac12AumlLAuml|raquoAElig_aIuml odshyiUrv pumltutcod pwl Utc0ldix4shyl not vsectEgravepwo4v tu not x4shyl not vOtildePnv p rsldidtu not) iquest divideUuacuteduacuteydivideLuacute UIumlh=Auml|IcircAtilde5raquoiquestSIumliquestUumlIuml13ZEgravefrac14cedil4Ecircsup1raquo~AtildeAacuteiquestfrac14raquoiEcircoNtildeIumlagrave9frac34Lfrac14dAgrave4Icirc~AtildeJ] uacute_^J^z iquest`atildeUAringcedilwOgraveufrac14dAgrave5Atilde0cedilAtilde5Agrave5Auml|raquoAEligqAacutewcedilAring~AgraveAacutesup1AumldraquotimesAring~AEligwsup1raquoordmfrac14AgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilaumlIgrave(AumlUEcircAtilde5frac12AElig_aIuml igraveiacuteraquoS] Lsect=xQ|od5v pv P4v od vwodshy(v rRp tc j v rregodtimestuodshyiUrv pumltutco Iuml~atildefrac14raquoUacuteTHORNampsup1Atilde5ordm|AumliquesthEgraveagraveyIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquestEgraveUumlIuml] dividedugrave|ugravedugrave iquest`currenatildeAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquo Ouml~frac14cedilAgrave5Auml|raquoLAacuteAuml|AringcedilAEligUacutefrac14AgraveAacutesup1currenOgraveuAEligUacuteAtilde5raquosup1Igravefrac14dordmdAtildecedilsup1AtildeIacuteIgraveAtilde5Ecircsup1Agravefrac14dfrac12AtildeIacuteEcircfrac34UEumlraquoifrac14dIgrave(sup1ecircLAring~Atilde]ampfrac14Ouml~Ouml~frac12sup1Agravefrac14ZAacutesup1AumldraquoAtilde5raquoeumlAgravefrac14Zcedil4Ecircsup1Auml|frac12Auml|ordmdsup1Atilde raquoUAring~Agravefrac12Atilde5frac14dsup1currencedilAtildeJaIumlfIcircIuml THORNFIumlAacuteIcirc~Atilde5AEligwsup1AElig5iquestraquo~sup1AcircnAtildecedilAEligwsup1currenAacutefrac34`AumlOgraveosup1Agrave5AtildeEumliacuteatildeAumldOuml~Icircsup1Yacutefrac14NtildeagraveraquoLAacutesup1OumlPAuml|frac12sup1AElig5iquestPeacutecedil4frac14raquo~Agrave5AtildedIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquest|UumlIumliquestUaacuteIacuteIumlEZEgravefrac14cedilfrac12frac14dAring~Ecirciquest[NtildeIumlLagraveAringEacutePAtildecedilwAacuteiquest|frac14draquoiEcirc dIumlnTHORN$frac14ZcedilAgrave5Auml|AringcedilwAacute4] divideugrave|ugraveUuacute iqueste`currenatildeOuml~frac14dAgrave5AtildeEgraveAacutesup1Igrave(AtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14EumlAacutesup1AumldraquoUacuteAring~AEligwsup1raquoordmfrac12Atilde5AcircnAtilde5frac12AEligwAtildeAacutefrac14dAgraveAacutesup1AcircnAtilde$AgraveAuml|raquoLAacuteAuml|AringcedilAEligfrac14Ouml~Ouml~frac12sup1AtildeEcirciexclAacuteAumlFIgraveNtildefrac34LAumlLAgravefrac14Zcedil4Ecircsup1frac14dfrac12ordmnfrac14ZAacuteAtildeEcircOtildeatildeIf-UumlkhEgraveETHaIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu not t v rJw iquest)x qJ+y xJ ^ Iuml

THORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquest13iexclNtildeIumlfrac14draquo~EcircdIumlWaacuteAuml|raquoLAacute4frac14ordm|raquoifrac14ZAacute4] divideugrave|ugraveUuacute iquest` ETHBAumldOumlPAuml|frac12Auml|ordmfrac34Oslashfrac14raquoiEcircIacuteAEligwIcirc~frac14dOumlPAtildeAgraveAuml|raquo~AEligqAacutewcedil4frac14sup1raquoUAacuteAEligyAumldraquotimesOumlifrac14Zcedil4frac14EumlIgrave(AtildeAacutewcedilsup1AgraveOslashfrac14dAgraveAacutesup1AcircnAtildearingAgrave5AumldraquoLAacuteAuml|AringcedilAElig_aIuml odshy~rv pumltutcodldP x4shy(l not vPLv p4rsldPtu notcent) v divideJw iquestuacute_qnugrave4yiuacute4rUuacute Iuml[Auml|Igrave(Atilde5AElig5iquestpounddIumlfrac14draquo~EcircaringmiddotNtildeIumleacuteifrac14Aring~ordm|Atilde cedil4frac14dAElig_] divideugrave|ugrave|ugrave iquestcurren` szlig9Atilde5Agrave5Aumldraquo~Agrave5sup1frac12sup1raquo~ordmIacuteEcircsup1AEligqAacute4frac14draquoAgrave5AtildeOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligfrac14draquo~Ecircaeligfrac12Atilde5AcircnAtilde5frac12EgraveAEligwAtilde AacuteAElig_aIumlpoundUodUp il|WoqUacuteumltul|-odshyNtildeshyFU~tR4lrRtcodTldix4shyl not vampgvipv v rsldrRtcod ) iquest dividedugravez^+ydivideddividez Iuml[cedil4frac145frac34LiquestszligyIumliquestdIumlyen-Auml|Aringraquo~ordmiquestampfrac14raquoiEcircagrave0Iumlampagravesup1currenfrac34LAtildecedil4] dividedugravedugraveuacute iquest `aacutesup1raquosup1IgraveNtildeAring~Igrave Ecircsup1AEligwAgrave cedilsup1Igrave(sup1raquo~frac14Aacutesup1Auml|raquosup1raquoOgraveregAumldcedilIgravefrac14Aacutesup1AumldraquoAgrave5frac12Aring~AEligqAacuteAtildecedilsup1raquo~ordmI]Igrave(AumlUEcircAtilde5frac12sup1raquo~ordmTfrac14raquoiEcircOslashecircLAringifrac14raquoUAacutesup1Ocircfrac14ZAacutesup1Auml|raquoOslashCcedilgsup1currenAacuteIcirc ordm|frac14dAringAEligwAEligIgrave(sup1currenicircAacuteAringcedilAtilde5AElig_aIumlTigraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquest=atildePIumliquest=aacuteIacuteIumlkZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestEgravefrac14raquoiEcirc[NtildeIuml=agrave9Aring~EacutePAtildecedilwAacute4] dividedugrave|ugraveUuacute frac14Uiquest` agrave EumliacuteatildeUAacuteAtilde5Ouml frac14dfrac12ordm|Aumlcedilsup1currenAacuteIcirc~IgraveAring~AEligwsup1raquoordmcedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtilde=Agrave5Auml|raquoLAacuteAuml|AringcedilAEligeOgraveuAumldcedilAcircUsup1EcircAtilde5AumlAuml|EacuteUbrvbarqAtilde5Agrave AacuteAElig=EcircAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoSaIuml~igraveraquo13]psect xw j x4 sect odpDumlqo odUacutex4shy(l not v9Pl| ~tu5op j rRtushyvwdtclNtildex4rv pwlnrRtKndvy]v pntc4v IumliETHWfrac14dIgrave(OumlPAtilde cedilAtilde|iquestieacuteWsup1raquofrac12Yacutefrac14raquoiEcirc]Iumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquestUatilde]IumliquestUaacuteIacuteIumlUZ=frac14cedilfrac12frac14dAring~EcirciquestUfrac14raquoiEcirccopy[NtildeIumlUagrave9Aring~EacutePAtildecedilwAacute4] dividedugravedugraveuacute EacuteiquestA` szlig9Atilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14AgraveAacutesup1AcircnAtildegAgrave5Auml|raquoLAacuteAumldAringcedilAEligOgraveuAumldcedilAcircUsup1YacuteEcircAtilde5AumlaringAuml|EacuteUbrvbarqAtilde5Agrave AacuteOtildeAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo Ccedilgsup1currenAacuteIcircaAgrave5frac14dIgrave(Atildecedil4frac14OslashAgrave5AumldIgrave(OumlPAtilde5raquo~AEligfrac14ZAacutesup1Aumldraquo13aIumligraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquesteatilde]IumliquestWaacuteIacuteIumlZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestefrac14draquo~Ecirc[NtildeIumlBagraveAring~EacutePAtilde cedilwAacute4] divideugrave|ugraveuacute Agrave|iquestk` g sup1EcircAtilde5AumlUacuteAuml|EacuteUbrvbarqAtildeAgraveAacuteFAEligwAtildeordm|Igrave(Atilde5raquoLAacute4frac14Aacutesup1AumldraquoAring~AEligwsup1raquo~ordmIacuteAtilde5Aring~frac12Atildecedilsup1frac14draquo cedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAElig_aIuml igraveiacuteraquoS] x4rv p ildrRtcodil|yodv pwv P4vIacuteoodshyiUrv paumlumltutcod Iuml g frac14draquoAgrave5Auml|AringAcircnAtildecediliquestehEgravefrac14draquo~frac14|Ecirc~frac14UIumlbyfrac14dAEligwAElig5iquesteaacuteIacuteIumliquestWagrave0Iuml Ucirc sup1currenAacuteUgravesup1raquoiquestWfrac14raquoiEcirctimesTHORNFIumlWETHBAtildecedilOcirc5AumldOumlPAuml|Aringfrac12AumldAElig_] uacute4^ JUiquestk`currenatilderaquoifrac14UgravenAtilde5AElig_]WagraveAgraveAacutesup1AcircnAtilde(Agrave5AumldraquoLAacuteAuml|Aringcedil0Igrave(AumlUEcircAtilde5frac12AElig_aIumlx4~rv p4PldrRtcoPl|WpoundUop4PldWoqodshyiUrv pTumltutcod iquest ndivideUuacuteyUzndivide Iuml

aacuteUacutefrac14dfrac12frac12frac14|Ecircsup1ciquest~szlig0IumliquestedIuml]atildeUAtildeAacuteIcirc~sup1frac14raquoiquest~frac14draquoiEcircZIuml g Atilde5IgraveNtildeAringcedilsup1G] uacute4^z^ UiquestS`atildeUIcircifrac14OumlPAtilde$Igrave(AumlUEcircAtilde5frac12sup1raquo~ordm0Ccedilgsup1AacuteIcirciexclOgraveregcedilAuml|raquoLAacuteOumlcedilAumldOumlifrac14dordm|frac14EumlAacutesup1Aumldraquo13]nfrac14ampfrac12AtildeAcircnAtilde5frac12AEligwAtildeAacuteEgravefrac14Ouml~OumlcedilAumlnfrac14dAgrave4Icirc13aIuml xQ|||~pwld lnrRtcodampodsectgldrRrv p 9Pl| ~tu9ldP j ln4Utreg]vx4~rvu t not v i4v Iordf iquest uacute z yiuacute+r UIuml

aacuteUacutefrac14draquoAEligwAuml|Aringcedilsup1Riquestagrave0Iumlfrac14draquo~EcircdIumlb$Auml|raquocedil4frac14|EcircS] uacute_^J^J^ iquestlaquo`currenaacuteAumldAacutesup1AumldraquoAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo`Ccedilgsup1currenAacuteIcirceumlfrac12Atilde5AcircnAtildefrac120AEligwAtilde AacuteAElig_aIuml igraveraquo13]x4~rv p4PldrRtcoPl|=ov pwv P4vNtildeodUacutex4shyl not vsectEgravepwo4v tu not Iumlcb$AumldEacutePAtilde|iquestednfrac14dOuml~frac14draquoIuml

aacuteAuml|raquoLAacute4frac14dordmdraquoifrac14ZAacuteiquestdIumliquestziexcl0IumlTHORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquestdfrac14draquo~EcircoNtildeIumlZagravegfrac34Ufrac14dAgrave4Icirc~AtildeJ] dividedugrave|ugraveUuacute iquest` agraveOslashcedilAtildeAcircsup1AtildeCcedilaeligAumldOgravePEcircAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeAEligwAringcedilwOgraveufrac14dAgrave5AtildeAElig_]AacuteAuml|OumlPAuml|frac12Aumldordmdfrac34Liquestgordm|AtildeAuml|Igrave(AtildeAacutewcedilwfrac34frac14draquoiEcirc EcircAtildeOgraveuAumlcedilIgravefrac14Aacutesup1Auml|raquoSaIuml x4shyl not vtimesldiOacuteumltutcododshy~rRtreg not0Inot v uacute_qw iquestuacuteugravendivide+y~uacuteugravezq|ugrave Iuml

aacuteAring~IgraveOgraveregAumldcedil4Ecirciquest=THORNFIumlgfrac14raquoiEcircdIumlatildeIcirc~frac14dIcircS] uacute4^ ^ iquest`currenmiddotOumlAacutesup1Igravefrac14frac12$frac14dOumlOumlcedilAumlicircsup1Igravefrac14Aacutesup1Auml|raquoAEligEacuteLfrac34Oumlsup1AtildeAgrave5AtildeCcedilgsup1AEligwAtildetimesAEligwIgrave(AumlLAumlAacuteIcircOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligFfrac14raquoiEcircOslashfrac14dAEligwAEligwAumlLAgravesup1Yacutefrac14ZAacuteAtildeEcircaringAcirc|frac14Zcedilsup1Yacutefrac14ZAacutesup1Auml|raquoifrac14frac12EgraveOumlcedilAumldEacute~frac12Atilde5Igrave(AElig_aIuml odshyNtildeshyFU~tR4lrRtcod~oaeligsectEgraveUpvUacuteldiEgraveni tsvw j ldrreg~v shy(lrRtccurrenshyt iquest rzr4y xJ q Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfa

yenKbrvbarsect =4 acirc $ zmiddotAEligwIcirc~AtildecediliquestdatildePIumlfrac14draquo~EcircdIumlnatildeAtilde AacuteIcirc~sup1frac14draquoS] uacute4^ ziquest` eacutecedilAuml|raquoLAacuteAEligeOumlcedilAumldOumlifrac14ordmnfrac14Aacutesup1raquoordmCcedilgsup1currenAacuteIcircFAgrave5AringcedilAcirc|frac14ZAacuteAringcedilAtildeEumlEcircAtilde5OumlPAtilde5raquoiEcircAtilde5raquoLAacuteBAEligwOumlPAtildeAtildeEcircS]

agravefrac12ordm|Aumlcedilsup1AacuteIcircIgrave(AEligEacute~frac14dAEligwAtildeEcircaumlAuml|raquoiexclampfrac14Igrave(sup1frac12AacuteAumldraquoEumldnfrac14Agrave5Auml|Eacutesup1eacute~AumldcedilIgraveNtildeAring~frac12frac14Aacutesup1Auml|raquoSaIuml poundUodUp4Pl|oqiexcloshyiUrsldrRtcoPl|sect=U~tc ordfenot iquest uacutedivide4yEqE^ Iumlfefrac14cedil4frac14ordm|sup1Auml|AElig5iquestoNtildeIumlfrac14draquo~EcircIacuteszligyIuml]THORNampAtildecedilsup1Agrave4Icirc~AtildeJ] uacute4^z^J^ iquest`s[Atilde5AumlUEcircAtildeAEligwsup1Agravefrac14AgraveAacutesup1AcircnAtildeFcedilAtilde5ordmdsup1Auml|raquo~AElig$OgraveregAumldcedil0Igrave(AumldAacutesup1Auml|raquoTAtilde5AEligqAacutesup1Igravefrac14Aacutesup1Aumldraquofrac14draquoiEcircAacutewcedil4frac14dAgrave4UgraveUsup1raquoordmAaIumligraveiacuteraquoS] x4rv p ildrRtcodil|-ov pwv P4vFodOslashodshyiUrv paumlumltutco Iumleh=AumldcedilwOgraveregAringgt[cedilAtilde5Atilde5Agrave5Atilde|Iumlfefrac14AacuteAtilde5Aringicirc]iquestatilde]Iuml] dividedugravedugrave|ugrave iquestpound`currenatildeOuml~frac14Aacutesup1frac14dfrac12AEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoTAumldOgrave=Agrave5Auml|frac12Aumlcedilysup1Igravefrac14ordm|Atilde5AEligampfrac14dAgrave5Agrave5Aumlcedil4Ecircsup1raquo~ordmAacuteAumlUacuteaacuteTHORNaringOgraveregAumldcedilIgravefrac14dfrac12currenEumlsup1AEligwIgraveaIumlyigraveraquo13] x4~rv p4PlrRtcodPld=od5v pv i vodododpFtu pwl4UtcldPx4shyl not vysectpqo v tu not Iumlatildefrac14dsup1raquoLAacute UumleAacutesup1Atilderaquo~raquo~Atildediquestieacutecedil4frac14raquo~Agrave5AtildedIumlfcedilAtildeAgrave5sup1Auml|AEligwAumliquesteacute=IumlEgravefrac14raquoiEcirc aacuteIacuteIumlcurrenZEgravefrac14cedilfrac12frac14dAring~EcircS] dividedugrave|ugraveUuacute iquest` Z-EumliacuteatildeUOuml~frac12sup1raquo~Atildeaumlfrac14dAgrave Aacutesup1Acirc|AtildeOtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAEligOgraveregAumldcedilOgraveRfrac14AEligqAacuteAcircUsup1EcircAtilde5AumltimesAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIumlOacuteigraveraquo13] x4rv p ildrRtcodil|od5v pv P4vaeligod x4shy(l not vUacutesectpqo4v 4tu not IumlETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1Riquest[cedilAtilde5Atilde5Agrave5Atilde|Iuml

szligAumldraquoOgraveufrac14cedil4EcirciquestszligyIuml] uacute_^J^q iquest` szlig9Atilde5ordmdsup1AumldraquoEumlsEacuteifrac14AEligwAtildeEcircFAEligqAacutewcedil4frac14ZAacuteAtilde5ordm|sup1Atilde5AEligeOgraveuAumlcedil-frac14dAgraveAacutesup1AcircnAtildeEgraveAgraveAuml|raquoLAacuteAuml|AringcedilIgrave(AumlUEcircAtilde5frac12AElig_aIuml x4~rv p4PldrRtcoPl|poundUodUp il|WoqodshyiUrv paumlumltutco I v dividezw iquest divideddividez^+yUdivide uacute Iuml

atildefrac14Igrave(AEligwAuml|raquoiquestzhIumliquestzIumlzZ=frac12frac14raquo~AgraveEumleacuteAtildecedil4frac14AringiEcirciquestJ[NtildeIumldagraveAringEacutePAtildecedilwAacuteiquestfrac14draquo~Ecirc dIumlJregPAtildecedilAring~Eacutesup1frac14I] dividedugravedugrave|ugrave iquest` agrave frac12Atilde5Acirc|Atilde5frac12UAEligwAtildeAacuteIgrave(AumlUEcircAtilde5frac12nOgraveregAumldcedilsup1Igravefrac14ordm|AtildeAgrave5frac12frac14dAEligwAEligwsup1siAgravefrac14ZAacutesup1Auml|raquo13aIuml x4~rv p4PlrRtcodPldpoundUodUp4Pl|BoqNtildeodshyiUrv pOtildeumltreg4tRod shy v Ew iquest uacute r4y~uacute4^Er Iuml

atildefrac14raquo~ordmdCcedilgsup1raquoAtilde|iquest9atilde]IumlEgravefrac14draquo~Ecircszlig0IumlampiexclAumldcedilraquoAtilde v Atilde5EcircAElig5Iuml w ] uacute_^J^ Uiquest ~vIacuteo|odUpaumltushyl not vipqo4v 4tu not ldP|m4oo4uml Iumlh=Icircifrac14dOumlIgravefrac14draquodegmacriexclampfrac14dfrac12frac12RIumlatildeAtildeAacuteIcircsup1frac14draquoiquestdIumlplusmn] uacute4^z^|ugrave iquestU` oAringIgrave(Atildecedilsup1Agravefrac14dfrac12Ufrac14frac12ordm|Aumldcedilsup1currenAacuteIcircIgrave(AEligWOgraveuAumldcedilOumlcedilAuml|Oumlifrac14ordmnfrac14ZAacutesup1raquoordmsup1raquoLAacuteAtildecedilwOgraveRfrac14Agrave5Atilde5AElig_]Jiexclampfrac14dIgrave(sup1frac12currenAacuteAuml|raquoEumldnfrac14dAgrave5AumldEacute~sup1

AtildeecircLAringifrac14Aacutesup1Aumldraquo~AElig-frac14draquoiEcircAgraveAuml|raquo~AEligwAtilde cedilAcirc|frac14ZAacutesup1Aumldraquo(frac12frac14CcedilgAElig_aIuml poundUodUp4Pl|]oqEgraveyen$t lv pv rRtcl| voshyv rRp~ iquest uacute4Uuacutey~uacute x uacute IumlatildeAtildeAacuteIcircsup1frac14draquoiquestAdIuml] uacute4^J^ xiquest kWvndvB]v r j v rregod IumlcurrenhEgravefrac14dIgraveNtildeEacutecedilsup1EcircordmdAtilderaquosup1AcircPIumlAfecedilAtilde5AEligwAElig5Iumlatildesup1Ecirc~Ecircsup1ecircUsup1Riquest4bIumliquest_yenNtildeIumlBfrac14Aring~Ocirc5sup1Gsup2AtildecedilAtilde|iquestagraveyIumlETHWfrac14draquoraquo~Atilde5raquoUEacute~frac14dAring~IgraveUacuteiquest5frac14draquo~EcircNtildeatildePIumlregPAring~Agrave4UgravenAtildecedil4] uacute_^J^ xUiquestE`currenagravegcedilAtildefrac149frac14draquoiEcirc$frac12Atilde5raquoordmdAacuteIcircyIgrave(sup1raquoEuml

sup1Igrave(sup1Ocirc5sup1raquoordm sup3iAumlCcedilgAEliggOgraveuAumldcedilAEligwIcircifrac14OumlPAtildeyAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo13aIuml xQ|||~pwl~ lnrRtcodoOtildex4shyl not vsectEgravepwo4v tu notordf v Ew iquest qEz+yqzqE Iumlyen=AtildeOcirc5Ocirc5sup1RiquestagraveyIumliquest5agrave0Iuml5ETHEgraveAEligfrac14dsup1Riquestfrac14draquo~Ecirc$agrave0Iuml Ucirc sup1frac12frac12AEligwUgraveLfrac34] uacute4^z^J^ iquestJ` agraveaeligAEligqAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12Ufrac14dOumlOumlcedilAumlnfrac14Agrave IcircampAacuteAumlgAEligwraquo~frac14dUgravenAtilde5AElig]OgraveuAumlcedilWEacutesup1Igrave(AumlUEcircfrac14dfrac12frac14draquoiEcircAacutewcedilsup1Igrave(AumlUEcirc~frac14frac12isup1Igravefrac14dordmdAtildecedilwfrac34aIumligraveraquo13] x4rv p ildrRtcodil|eodv pwv P4vyodx4shyl not vgsectpqo v tu not IumlAb$AumldEacutePAtildednfrac14dOuml~frac14draquoIumlreg]IcircUAringiquest]atilde]Iumlfrac14raquoiEcircaumlagrave0Iumleyen=Aringsup1frac12frac12AtildeJ] uacute_^J^ xUiquestpound` szlig9Atilde5ordmdsup1AumldraquotimesAgrave5AumldIgrave(OumlPAtildeAacutesup1currenAacutesup1Auml|raquo13]iAring~raquo~sup1currenOgraveYacutefrac34sup1raquoordmiexclAEligwraquo~frac14dUgravenAtilde5AElig5iquestPcedilAtildeordm|sup1Auml|raquoTordmdcedilAumlCcedilgsup1raquo~ordmiquestfrac14draquoiEcircZEgravefrac145frac34LAtilde5AEligacute|aacuteTHORNOgraveregAumldcedilIgraveFAring~frac12currenAacutesup1Eacuteifrac14raquoiEcirc sup1Igravefrac14ordm|AtildeTAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo13aIuml xQ|||micro~pwld lnrRtcodtimesosect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4v Icent iquesteJ q+yU^dugrave|ugrave Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfo

i $amp)(+-)013021+345627893lt=gt9A6CBfrac12OcircacuteIshyNT

frac12OcircacuteIltNTpara frac12frac34EMeJaumlQcYZYZjJUacuteQsY H [ ^QEgraveJLhZJUO H QcN H J H MeJordfXiacute[]fcfR[WQcO[Oslash^e[]ZaringNPQsOXiacutejOb H QR[]ONPfdaringocirc|adOuml times jOcircaacute uuml times a2atildeltszligaumlgtszliglOuml times j atilde auml

G QsObnJ H MJeumlYZJ H [SXIacuteNPfcfUacute^e[]ZaringNPQsOYMNPY Oe[ H N Y H hjb H jhZJ`[SXUPJUb H [PhQcNPfOtildeYZKNPbnJSefRJ H jYZ N`PJ H MeJeumlhZJ[]QR[]OYJUP[]fVUPJ H MehZ[]j[]M NrXqNSZaringQcfVm [SX H hNPOYYX[PhlZ N H QR[]OYa(|aagraveszlig jj emiddot iacuteaumlYlZOslash[[ H MaNPO^ centQ ~JUb H QVUPJS^ not [PhNOslashKEgrave[]QcO H $ aacute atildeshyszligaumlN eFWFJTOe[ H JSaring$ aagravej|aacutemiddot|aagraveszlig $ j WiexclQ H M |a s szlig $ jaacute $OumlcopytimesaagravejOcircaacutemiddot|aagraveszliglOumlutimesdj WiexclQ H M |a s szliglOumlcopytimesAjOcircaacuteAumlOumlutimes9J H jY H MeJUO^JOeJ H MeJordfUPJUfR[WbLQ H moUPJUb H [PhdY JUfs^kfrac12 YZjbM H MN H aringfrac12sup1aagraveszlig $ aagravejj|aacute aelig |aelig agrave aagraveszlig $ j YlaquoXiacuteNiharingNPY H MeJ bn[]ZOslashKj H N H QR[]O[SX H MeJ ^eJLhQU~N H QVUPJ QcYOslashbn[]ObnJLhOeJU^OeWFJNihZJQcOWVH JLhZJUY H JU^ QcO YYZaringNPfcfOtilde^JX[PhlZ N H QR[]OY^ J H MBjYJkWKNPO^ H MeJ H hNPOYX[PhZaringN H QR[]ONPbLbn[Ph^QcO[ H [hdY H [Ph^eJLh NmWfR[PhyacuteXiacute[PhlZtimesjfcNaring|aagraveszlig $ jpoundaacuteAElig|a s szlig $ j agrave aelig |aelig agrave a s szlig $ jaacute $ ragrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacute frac14 frac14 a s szlig $ j^ J H MeJUOQcO H hZ[W^jbnJ H MehZJLJgZ NPQcO^eJOQ H QR[]OYaringf^QMeJg0jfRJLhQcNPO^eJLhQU~N H QVUPJOtilde[SXocirc|adOuml times jordfaqQcO H MeJIacute^QRhZJUb H QR[]O[SXcedilfrac12jaring ocirc|adOumlcopytimesszlig_frac12jOcircaacutefcQZUcedil iacute ocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave admacrfj ^QMeJgZaringN H JLhQsNPfg^eJLhQVUiN H QVUPJOtilde[SXuumlStimesYa $ szliglOumlcopytimes)jaringsup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j|aacutefcQZUcedil iacute uumlStimesa $ ragrave3frac12ba $ jszliglOumlutimes agrave3frac12sup1a $ jj uuml]timesa $ szliglOumlcopytimesdjagrave admacr j^QMeJaumlYZMNiKEgraveJOtilde^eJLhQU~N H QVUPJOtilde[SXOcircuuml]timesa $ szliglOumlutimes)jaring

uumlnotraquotimes a $ szliglOumlcopytimesUcircszlig_frac12 jaacutefcQZUcedil iacute uumlStimesYa $ szliglOumlutimesragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave admacrS]j

uumlnyacutenthornnyumll13YSordmY_Fordfy

yenKbrvbarsect =4 acirc $ hq centUWQR[]jYZfVmSe-centmaJkBKNPO^QcO[ admacr jUacuteNPbLbn[Ph^QcOF[ H [hdY H [Phd^eJLhordfNmBfR[PhordfXiacute[PhlZtimesjfcNeWFJaumlMNUPJSaring sup1uumlStimesYa $ szliglOumlcopytimesUcircszlig_frac12 jaacuteAumluumlnotraquotimes a $ szliglOumlcopytimesszlig_frac12jhuumlStimesa $ szliglOumlcopytimes)j frac12sup1a $ j admacrj J H MeJUOabn[]ZOslashK-j H JZOslash[PhJaumlKhZJUbLQcYZJUfVm H MJ0jfRJLhQcNPO ^eJLhdQVU~N H QUPJauml[SXcopyocirc|adOumlcopytimesdj^ JMNUPJSaringocircOcircadOumlutimesaagravejj ocircOcircadOumlutimes)jagrave aacute fagrave = thorn yuml uuml times a $ aagravejszliglOuml times aagravejj $ uuml times a $ szliglOuml times j $ FH admacrSmacr]j5O H MJohY H QcO H J[PhdNPfdeltWFJZaringN`PJ H MeJU~NihdQcNicentfRJ bMNPO[PJ $ aagravejaacute $ agrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacuteethicirc7a2atildeshyszligaumlFjszligicirc cent a2atildeltszligaumlj eWMQcbdM[]QVUPJUYaring thorn yuml uuml]timesYa $ aagravejszliglOumlcopytimesYaagravejj $ aacute admacrS]j

5 uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlutimes agrave3frac12sup1a $ jjlt^eJ H ocirc a $ jlt $WMJLhZJocirc a $ jQcY H MeJgXiacute[]fcfR[WQcO[aringSNPbn[PcentQcNPOtZaringN H hdQkKaring

ocirc a $ jaacute oacute fcedilxagrave frac14 iacute oslashfrac14Uordm agrave frac14 iacute oslashfrac14 ugraveagrave frac14 iacute acircfrac14ordm fcedil agrave frac14 iacute acircfrac14 ugrave ocircNPO^ YZ[eFWNtildeJIacuteMNUPJSaring

^eJ H ocirc a $ jOcircaacute fUragravee^QVUKafrac34frac12sup1a $ jjragrave cent ^eJ H amacr frac12sup1a $ jjMJUOWNtildeJauml[Pcent H NPQcOOaring

fsQZcedil iacute ^eJ H ocirc a $ j fagrave aacute ^QVUKafrac34frac12sup1a $ jj admacr]zSjMJJBjN H QR[]OxadmacrSmacr]j H MeJUOcent=JUbn[]ZaringJUYaringocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave aacute fagrave middot uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jjlt 13raquo ocirc a $ jlt $ uumlStimesa $ szliglOumlcopytimesAj $ admacrSi]j JTbLNPO`YZjeKKEgrave[]YJ H MN H ^eJ H aocirc a $ jjfrac14aacute sfrac12 agrave frac12 $ ^ JZaringNm H MeJUO H N`PJ^eJ H aocirc a $ jjfrac34 s eNPO^ WNtildeJ ^eJUPJUfR[PK H MeJaJkWKhZJUYYZQR[]OadmacrSi]j NPYoX[]fsfR[WQsO[centmNP^^QcO[aringN H JLhZ QcO H MeJIacuteYZJUbn[]O^aQcO H J[PhNPfltWMQcfcJaumlYZjeKKhJUYZYZQcO[ H MeJtimesYZNSZOslashJ H JLhlZQcO H MJordfhY H QcO H J[PhNPfdaring ocirc|adOumlcopytimesYaagravejj ocirc|adOumlcopytimes)jagrave aacuteegraveOtildef1rOtilde cent admacrSh]j

uumlnyacutenthornnyumll13YSordmY_Fordf

s $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJSaring

Otilde aacute uuml]timesa $ ragrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave ^eJ H aocirc a $ jj $ ad s jOtilde cent aacute uuml]timesa $ szliglOumlcopytimesdj ^eJ H aocirc a $ jj fagrave $ adfj

9J H jY_ZaringN`PJordmagrave H JUO^ H [WNih^Y s ^curreniquestYZQcO[frac34admacrjiexclNPO^JOQ H Qc[]OYadmacr e macrS]jeWFJ[PJ H aringfcQZUcedil iacute Otilde aacute sup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j $

aacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ uuml times a $ szliglOuml times j frac12sup1a $ j $fcQZUcedil iacute Otilde cent aacute uuml]timesa $ szliglOumlcopytimesdj^QVUKafrac34frac12 j $

O^ Y[Xiacute[Ph H MeJgNtildejfRJLhQsNPO ^eJLhQVUiN H QVUPJSeWFJgO^Oaring ocirc|adOuml times szlig_frac12jumlaacuteyacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ amacrreguumlStimesYa $ szliglOumlcopytimes)j frac12sup1a $ j7 uuml]timesYa $ szliglOumlcopytimes)j^QVUKafrac34frac12sup1a $ jjj $aacute uumlnotraquotimes a $ szliglOuml times szlig_frac12j $ ^QVUKaduuml times frac12j $ ad j

MeJUO NiKKfVmWQcO[ H MJ hJLJUOWVAQRJZ NPOO H MeJL[PhZJZQcO ad jeWNtildeJ5ONPfcfmtimes[Pcent H NPQcOOaring ocirc|adOumlcopytimesszlig_frac12jOcircaacute uuml raquotimes a $ szliglOumlcopytimesUcircszlig_frac12j $ uacutefrac14 5 uuml]timesYafrac34frac12 eacuteAgraveiquestsup1AacuteAtildeAcircj THORN adS]jWMJLhZJ5eacuteAgraveiquestsup1AacuteAtildeAcircyQcY H MeJUacutejOQ H QcOOgraveWNih^ Oe[PhlZaringNPf H [ aelig OumlcopytimesUcirc^MeJ_NtildejfRJLhQcNPO ^eJLhQVUiN H QVUPJQcY(O[ H JU^ ocirc raquo aagravej(QcO H MeJaumlKNiKEgraveJLhNPO^ H MeJaumlYZMNiKEgraveJauml^eJLhQU~N H QVUPJyuuml raquotimes QcY(Oe[ H JU^ frac14 frac14 ^iquest acutemicrosup1cedilFLft not [PhyYQZOslashKfcQsbLQ H mSeWNtildeJ(bM[[]YJ H MeJcopyXiacute[]fcfR[WQcO[_U~NihQsN H QR[]OaeligQcO H MeJKhZ[B[SXaring$ aagravejaacute $ agrave3frac12sup1a $ j^MJiexclKh[[SXZaringNm NPfcYZ[IacutecentEgraveJiexcl^JUPJUfR[PKEgraveJU^WiexclQ H MZaring[PhZJ_[PJUOJLhNPfUiNihQcN H QR[]OYFYjbM NPYaring $ aagravejaacuteAacuteAgravea $ szligYagravejWQ H MAcircAgrave`NOslashYYZOslash[B[ H MXiacutejOb H QR[]ONPO^AcircAgravea szligYagravejcentQ ~5JUb H QVUPJS^

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ ffrac12OcircacuteIshyNT AcircE J(MNUPJ H [Otildebn[]ZOslashK-j H J H MJNtilde^QEgraveJLhZJUO HH JLhZaringY9[SXQa macr]j9QsOauml[Ph^eJLh H [Uacute[Pcent H NPQcO H MeJ

JUP[]fcj H QR[]OJBjN H QR[]O[SX H MeJ NPb H QUPJ bn[]O H []jehX[Ph H MeJ ^JUYZbnhQRK H [PhdYaumlcentNPYJU^Oacute[]OH MeJ(bn[U~NihQsNPObnJ ZaringN H hQVktimes^eJ H JLhlZ QcONPO H a2Ograveh]j^OgraveMeJ(bn[]ZOslashKj H N H QR[]OaringQcYampKEgraveJLhYXiacute[PhlZOslashJU^Xiacute[Ph H MeJIacute^eJUYZbnhQRK H [Ph_uuml thorn timesOslash yuml ^ q centUWQR[]jYZfmSeN YZQZ QcfcNihbn[]ZOslashKj H N H QR[]OabLNPOacent=JIacute^e[]OeJXiacute[PhOcircuuml thorn UgraveUcircUacuteUuml yuml ^ JiexclbLNPOaeligJkBKhJUYZYOcircuuml thorn timesOslash yuml NPYyNUacutebn[]ZTcent-QcON H QR[]Oaelig[SXgtXiacutejOb H QR[]OYamp^eJLKEgraveJUO^QcOF[[]O H MJOtildehZJ[]QR[]OwOuml timesOslash aring

uumlgtthorn times Oslash yuml a2atildeltszligaumlgtszligYagravejaacute`Ograveoacute m thorn timesOslash yumlaIgraveagrave thorn timesOslash yumlAtilde j cent ocirc adjWMJLhZJordmaacuteAuml85eWiexclQ H MAring8 H MeJordfXqjOb H Qc[]O QcO H h[B^jbnJU^ QcOpounda2Ograveh]je-NPO^aringm thorn timesOslash yuml aacute agrave thorn timesOslash yuml agrave thorn timesOslash yumlcent agrave thorn timesOslash yuml agrave thorn timesOslash yumlAElig agrave thorn times Oslash yumlCcedil agrave thorn timesOslash yumlEgrave agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlEgrave j cent agrave thorn times Oslash yumlcent aIgraveagrave thorn timesOslash yumlCcedil j cent agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlAElig j centWQ H MOaring EFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFH

agrave thorn timesOslash yuml aacute w$ thorn yuml aOtilde S times Oslash j cent atilde aumlagrave thorn timesOslash yumlcent aacute w$ thorn yuml aOtildeOgravecent Scenttimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yuml aacute w$ thorn yuml aOtildeS Stimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yumlAElig aacute w$ thorn yuml aOtilde S times Oslash jaOtildeOgravecent ScenttimesOslash j atilde aumlagrave thorn timesOslash yumlCcedil aacute w$ thorn yuml aOtilde S times Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlEgrave aacute w$ thorn yuml aOtilde cent S centtimes Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlAtilde aacute w$ thorn yuml atilde auml O^ Y[ H MJordfXiacutejOb H QR[]OY aelig thorn timesOslash yumlauml MNUPJ H MeJgXiacute[]fcfR[WiexclQcO[aeligJkBKhZJUYZYZQR[]OYaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

aelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlcent aacute aOtilde cent S centtimesOslash j centaelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlAElig aacute aOtilde S timesOslash jaOtilde cent S centtimesOslash jaelig thorn times Oslash yumlCcedil aacute aOtilde S timesOslash jaOtilde S timesOslash jaelig thorn times Oslash yumlEgrave aacute aOtildeOgravecent ScenttimesOslash jaOtilde13 StimesOslash jaelig thorn times Oslash yumlAtilde aacutemiddotf

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBnot h[]Z H MeJUYJaumlJkWKhZJUYYZQR[]OYeWFJOtildeJUNPYZQcfm ^eJU^jbnJ H MN H aring

$ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde aumlregaacute sEacutefrac12poundEcirc iuml

J H MeJUO MNUPJ H [Tbn[]ZaringKj H J H MeJ H JLhlZaringY eacute thorn times Oslash yumlauml XiacutehZ[]Z H MeJJkWKhZJUYZYQR[]OYamp[SXagrave thorn timesOslash yumlauml eWMQcbM fRJUNP^Y H [aringEFFFFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFFFFH

eacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideoslash aacute w$ thorn yuml uacute ouml $ordfdivideacirc uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIgrave yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H a timesOslash jjeacute thorn timesOslash yumlcent aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideacirc

aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIcirc yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideEuml aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideacirc thorn thorn uacute ouml $_divideIuml yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yumlAElig aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIuml aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideEuml uacute ouml $ordfdivideIuml thorn uacute ouml $_divideIcirc uacute ouml $ordfdivideIgrave yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlCcedil aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIcirc aacute w$ thorn yuml cent thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideacirc uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlEgrave aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIgrave aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideoslash uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlAtilde aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIacute aacute w$ thorn yuml thorn +ETH ouml $_dividethorn uacute ouml $ordfdivideIacute yuml Iuml 8 raquo aq^J H a timesOslash jj

O^centmJkWKhZJUYZYZQsO[ H MeJbn[UiNihQcNPObnJZaringN H hQVkpoundWQ H M H MJregXqjOb H QR[]OYagrave thorn timesOslash yumlauml NPYXiacute[]fcfR[WQcO[aring

timesOslashlaquoaacute 1NtildeNtildeNtildeNtildeNtildeNtilde3uacute ouml $ordfdivideoslashuacute ouml $ordfdivideIacute uacute ouml $_divideIumluacute ouml $_divideIacute uacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIumluacute ouml $ordfdivideIacute uacute ouml $_divideacircuacute ouml $_divideIacute uacute ouml $ordfdivideIgraveuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacute uacute ouml $_divideIgraveuacute ouml $_divideIacute uacute ouml $ordfdivideEumluacute ouml $ordfdivideIacute

6OgraveOgraveOgraveOgraveOgraveOgrave7 J H MJUO^eJU^jbnJSaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

eacute thorn times Oslash yuml aacute a fj thorn yuml ^eJ H aDC Ptimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlcent aacute a fj thorn centcent yuml ^eJ H aDC centcenttimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yuml aacute a fj thorn curren yuml ^eJ H aDC 4times Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlAElig aacute a fj thorn cent yuml ^eJ H aDC centtimes Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlCcedil aacute a fj thorn curren yuml ^eJ H aDC times Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlEgrave aacute a fj thorn centcurren yuml ^eJ H aDCcent4times Oslash j48 raquo aq^eJ H a timesOslash jjeacute thorn times Oslash yumlAtilde aacute amp^eJ H a timesOslash j48 raquo aq^eJ H a timesOslash jj

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ SWMJLhZJC EBtimesOslash QcY H MeJgZaringN H hdQk ^eJU^jbnJU^Xh[]ZOacutetimesOslasharingcentm YZjeKKhZJUYZYZQcOF[ H MeJyuuml UumlON hZ[WNPO^ H MJ I UumlON bn[]fcjFZaringOO^]MeJbn[]ZOslashKj H N H Qc[]OordmX[Ph H MeJ^eJUYZbnhdQRK H [Ph|uuml thorn UgraveUcircUacuteUuml yuml QcYyYQZaringQcfcNihNPO^WFJ H MeJUOOslashMNUPJNPfcf H MeJ(JkWKhZJUYZYZQc[]OY H [aumlbn[]ZOslashKj H J H MeJJUP[]fcj H QR[]OaeligJjN H QR[]OXiacutehZ[]Z H MeJg[PJUOJLhNPfOXiacute[PhlZIacutejfcNta macr]j^gtMQcYcopy[]QVUPJUY H MeJTJUP[]fcj H QR[]O JBjN H QR[]Osup1admacr s j^

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBΩ out

Objects

Γ

inΩ

inΩ

Background Part

-t not Upv copy ETHEgraveIcircAtildeampAacuteiacuteCcedil=AumlFcedilAtilde5ordm|sup1Aumldraquo~AElig9AumldOgravefrac14raquoUacutesup1Igravefrac14dordm|Atilde

Ω

Ω out (τ)Ω

(τ)in

N

Γ(τ)

Ω

N

v

w

N

-t not Upv ETHEgraveIcircAtildeyEcircAumldIgravefrac14dsup1raquo~AEliggfrac14raquoiEcircAacuteIcircAtilde$AcircnAtilde5AgraveAacuteAumlcedilAEliggsup1raquoUAcircnAumldfrac12AcircnAtildeEcircsup1raquoiexclAacuteIcirc~Atilde$EcircAtildecedilsup1Acirc|frac14ZAacutesup1Aumldraquo

uumlnyacutenthornnyumll13YSordmY_F2ordf

yenKbrvbarsect =4 acirc $ Smacr

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 Atilde|IumligraveAacuteAtildecedil4frac14ZAacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvyzU eacuteWsup1ordm|AringcedilAtilde5AEligfrac14iquest Eacuteiquest AgraveJ]iUumlAcircnAumldfrac12AringAacutesup1Auml|raquoOtildeAumlOgraveeAacuteIcirc~Atildeyfrac14dAgrave Aacutesup1Acirc|Atilde0AgraveAuml|raquoLAacuteAuml|AringcedilIgravefrac14raquoifrac14ordm|AtildeEcircUacuteEacuteLfrac34AacuteIcirc~AtildefTHORN$Uuml v qzqwsup1raquo~Agrave5frac12AringiEcircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquoifrac14frac12ampAacuteAtildecedilIgrave(AElig5IumlgeacuteWsup1ordm|AringcedilAtilde5AEligOtildeEcirc]iquest Atildediquest Ograve] g sup1AEligwAringifrac14frac12sup1Ocirc5frac14Aacutesup1Auml|raquo`AumldOgrave0AacuteIcirc~AtildeTAgrave5AumldcedilwcedilAtilde5AEligwOumlPAumldraquoiEcircsup1raquoordmAcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 OgraveuAring~raquoAgraveAacutesup1Auml|raquosup1raquo~Agrave5frac12Aring~Ecircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquo~frac14dfrac12ampAacuteAtildecedilIgrave(AEligraquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirc EacutePAtildeAacuteiacuteCcedil=Atilde5Atilde5raquo ugrave frac14draquoiEcirc divide JUiquestAEligwAring~Agrave4IcircTAacuteIcirc~frac14Aacute$AacuteIcircAtilderaquo~Atilde5ordm|frac14Aacutesup1AcircnAtildeAcircdfrac14dfrac12AringAtilde5AElig0frac14cedilAtildefrac12AumlCcedilEgraveAtildecedilyAacuteIcirc~frac14draquo uacutedivide Uacutefrac14raquoiEcircaumlAacuteIcirc~AtildeOumlPAumldAEligwsup1Aacutesup1AcircnAtilde(Aumldraquo~Atilde5AEligyfrac14ZcedilAtilde(Icirc~sup1ordm|IcircAtildecedilAacuteIcircifrac14raquo uacuteZdivide Iuml

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

Ecirc]Iumligraveraquo~sup1currenAacutesup1frac14dfrac12BAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 Atilde|IumligraveAacuteAtilde cedil4frac14Aacutesup1Auml|raquo ugravedugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not Upv ucirc eacuteWsup1ordmdAringcedilAtilde5AEligtimesfrac14iquest Eacuteiquest AgraveJ]ampUumlAcirc|Auml|frac12AringAacutesup1Auml|raquoAumlOgrave(AacuteIcirc~Atildearingfrac14AgraveAacutesup1AcircnAtildeOslashAgrave5Auml|raquoLAacuteAumldAringcedilIacuteIgravefrac14draquoifrac14ordm|AtildeEcirc`EacuteUfrac34AacuteIcircAtildeOcircfTHORN$Uumlv q w iquestiexclCcedilgsup1currenAacuteIcirc~AumldAringAacuteAacuteIcirc~Atildefrac14dEcirc~Ecircsup1Aacutesup1Aumldraquoifrac14dfrac12TAacuteAtildecedilIgrave(AElig5IumliexcleacuteWsup1ordm|AringcedilAtildeAElig Ecirc]iquest Atildediquest Ograve] g sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo AumlOgraveaeligAacuteIcirc~AtildeAgraveAumldcedilwcedilAtildeEumlAEligwOumlPAuml|raquo~Ecircsup1raquo~ordm AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 OgraveregAring~raquo~Agrave Aacutesup1AumldraquoeumlCcedilgsup1currenAacuteIcirc~Auml|AringAacuteIacuteAacuteIcircAtilde frac14|Ecirc~Ecircsup1currenAacutesup1Aumldraquoifrac14frac12FAacuteAtildecedilIgrave(AElig v raquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirceumlAEligwAring~Agrave4Icirc AacuteIcirc~frac14AacuteIgravefrac14icirc vOOtilde wpOumldivide z w Iuml

uumlnyacutenthornnyumll13YSordmY_F2

S $amp)(+-)013021+345627893lt=gt9A6CB

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIumligravesAacuteAtildecedil4frac14Aacutesup1Aumldraquogt ugrave|ugrave AgravedIumlieacuteWsup1raquoifrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12Acirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 AtildedIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIumlieacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvtimesLg sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo(AumldOgravePAacuteIcirc~AtildeAtildeAcircnAuml|frac12AringAacutesup1AumldraquoAumldOgravePAacuteIcircAtildeEgraveAgrave5Auml|raquoLAacuteAumldAringcedil-frac14draquo~EcircNtildeAacuteIcirc~AtildeEgraveAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 v Ccedilgsup1AacuteIcircAuml|AringAacuteAacuteIcircAtildeEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircFAacuteAtilde cedilIgrave w OgraveregAumldcedilEgraveAacuteIcircAtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoAumlOgraveAacuteIcircAtilde9Ograveufrac14dAgrave5AtildeAring~AEligwsup1raquo~ordmyAacuteIcirc~Atilde9Agrave5AumlZAcirc|frac14Zcedilsup1frac14draquo~AgraveAtildeIgravefrac14Aacutewcedilsup1currenicirc]Iuml

frac14Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcircnAtilde EacuteIumligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 v AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde w Agrave|Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacutefrac34 v Acircdfrac14cedilsup1frac14draquoAgrave5Atilde w-t not Upv h=AumldIgrave(Oumlifrac14cedilsup1AEligwAumldraquoOtildeAumldOgraveAacuteIcirc~Atilde$sup1raquo~sup1currenAacutesup1frac14dfrac12eAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34iexclAgrave5Auml|Igrave(OumlAringAacuteAtildeEcircAringAEligwsup1raquo~ordmAacuteIcirc~Atilde$AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde0Igravefrac14Aacutewcedilsup1currenicircv iordmdAringcedilAtildeFEacute w AacuteAumliexclAacuteIcircAtildeAuml|raquoAtildeFAgrave5AumldIgrave(Ouml~AringAacuteAtildeEcircTAringAEligwsup1raquo~ordmiexclAacuteIcircAtildeFAcircdfrac14cedilsup1frac14draquoAgrave5Atilde v ~ordm|AringcedilAtildeFAgrave w OgraveregcedilAumldIgrave AacuteIcirc~AtildeNtildeAEligfrac14dIgrave(Atildesup1raquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcirc|Atilde v iordmdAringcedilAtilde$frac14 w Iuml

uumlnyacutenthornnyumll13YSordmY_F2_a

yenKbrvbarsect =4 acirc $ ]z

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv Oslash| THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5AtildeccediliacuteAtildecedilsup1UgraveUegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_o

Si $amp)(+-)013021+345627893lt=gt9A6CB

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv ordf THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5Atildeccedilqfrac14dUgraveUsup1currenfrac34LAumldegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_y

RR-0114-SJEHANpdf
  • wwwi3sunicefr
    • httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf
Page 20: LABORATOIRE INFORMATIQUE, SIGNAUX ET SYSTEMES DE …mh/RR/2001/liste-2001.pdf · 2002. 6. 27. · [Dir01] DIRAT L. “Outils pour des Mathématiques Interactives et Distribuées”

f s $amp)(+-)013021+345627893lt=gt9A6CBYJ[]ZaringJUO H e=Oe[ H JU^frac34OumlcopytimesOslashFe-NPO^ H MeJaumlcent-NPbY`[PhZ[]jO^aKNih H Oe[ H JU^Ouml UgraveUcircUacuteUuml ^MeJauml^QcYZbn[]OWVH QcOBjQ H m`YJ H QcYOtildeNbLjehlUPJ Oe[ H JU^bYacute H MN H ^JOeJUY H MeJ cent=[]jO^NihYmcentEgraveJ H WNtildeJLJUO H MeJH WNtilde[ ^[]ZaringNPQcOY^ J H MJUOaYJUNihbdMtXiacute[Ph H MeJ H WNtilde[^e[]ZaringNPQsOYyacuteOuml UgraveUcircUacuteUuml NPO^wOumlutimes OslashWMQcbdMtZaringQcOQZaringQVcurrenLJ H MeJbnhQ H JLhQR[]Oocircuml[]QVUPJUOcentmumla2jehZJZaringQcO^eJU^ MeJLhZJSaring

ocirc|adOuml UgraveUcircUacuteUuml szliglOumlcopytimesOslashgtszligYYacuteQjumlaacute uuml thorn UgraveUcircUacuteUuml yuml a2atildeltszligaumlgtszliglOuml UgraveUacuteUuml j atilde auml $ uuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOuml timesOslash j atilde aumlamp uacuteucirc thorn yuml uuml thorn otilde)yuml a2atildeshyszligaumlFj THORN5OaumlbnhQ H JLhdQR[]Oa2je H MeJ|hY HH WNtilde[ H JLhlZaringY9NihJyhZJ[]QR[]OWVcent-NPYJU^ordfWMQsfRJ H MeJ H MQRhd^ H JLhlZQcYcentEgrave[]jO^NihYmVcentNPYJU^O^MeJiexclXqjOb H QR[]OYyacuteuuml thorn UgraveUcircUacuteUuml yuml egtuuml thorn timesOslash yuml NPO^tuuml thorn otilde)yuml NihZJaumlhZJUYKEgraveJUb H QVUPJUfmH MeJ^eJUYZbnhdQRK H [PhY[SX H MeJFcentNPbl`[PhZ[]jO^timesKNih H ei[SX H MeJ[Pcent~JUb H Y H [OtildeYJ[]ZOslashJUO H NPO^Iacute[SXH MeJaumlbn[]O H []jeh^KMeJauml^eJUYbnhQRK H [PhYuZ Nm centEgraveJordf[]fR[PcentNPfcfm N HH NPbMJU^ H [ H MeJOtildeJUP[]fVUWQcO[hZJ[]Qc[]OY(NPO^Y[ ^eJLKEgraveJUO^ []Ofrac34Ouml timesOslash [Ph5OumluUgraveUcircUacuteUuml^

G QcObnJ H MeJaringYJ H [SXNtildeNPfsf$^e[]ZaringNPQcOYUacuteMNPYOtildeO[ H N Y H hjb H jehJtimes[SXUPJUb H [PhQcNPfyYZKNPbnJSeWFJIacutebLNPOeumlOe[ H bn[]ZOslashKj H J H MeJaelig^eJLhQVUiN H QVUPJT[SX H MJIacuteKhJUBQR[]jYbnhQ H JLhdQR[]OaNPbLbn[Ph^QcO[H [euml^e[]ZaringNPQcOY^ltMJLhZJX[PhJSe H [bn[]ZOslashKj H JNPO[PK H QZaringNPfFY[]fcj H Qc[]OOe9Neuml^mWONSZaringQcbLNPfYZbdMeJZOslashJOtildeQcYQcO H hZ[W^jbnJU^WMeJLhZJJUNPbM^[]ZaringNPQcO cent=JUbn[]ZaringJUY(bn[]O H QcOBje[]jYfVm ^eJLKEgraveJUOWV^eJUO H []ONPO JUP[]fcj H QR[]O KNihdNSZOslashJ H JLhagrave^59[ X[PhZaringNPfcQVcurrenLJ H MQcYQc^eJUNe WNtildeJxZaringNmYZjKKEgrave[]YJ H MN HTH MJ JUP[]fcj H Qc[]OKhZ[WbnJUYZYtimesQcY H [ H NPfsfVm^eJ H JLhlZaringQcOJU^centm H MJ JkeQcY5VH JUObnJiexcl[SXgNyXqNSZaringQcfmIacute[SXgNiKK-fcQcbLN H QR[]OY| H MN HNtildeH hNPOYXiacute[PhlZaringY H MeJiexclQsOQ H QcNPfe^e[]Z NPQcOYOumlcopytimesOslashgta s jNPO^tOuml UgraveUcircUacuteUuml a s jQsO H [ H MeJIacutebLjehZhZJUO H ^e[]ZaringNPQcOYyacuteOumlcopytimesOslashKaagravejNPO^frac34Ouml UgraveUcircUacuteUuml aagravejaring

OumlutimesUcirca s j ntilde OumlcopytimesaagravejYacutea s j ntilde Yacuteaagravej WiexclMeJLhZJVQaacuteiV[Ph Kf5 iumlMBjY H MeJOtildehJ[]QR[]OY(JUP[]fVUPJ H [WNih^YiexclNPO [PK H QZaringNPf9Y[]fcj H QR[]O^MeJ H hQRKfcJ H Ouml UgraveUcircUacuteUuml aagravejszliglOumlcopytimesOslashOaagravejszligYYacuteaagravejordmZIacutejY H NPb H NPYNregZaringQcOQZ QVcurrenUQcO[TYZJjeJUObnJgX[Phocirc|adOuml UgraveUcircUacuteUuml szliglOumlcopytimesOslashszligYYacutejWiexclMeJUOagrave JUP[]fVUPJUY^MeJ5XqjOb H QR[]ONPfOocircOcircadOuml UgraveUacuteUuml aagravejszliglOumlcopytimesOslashaagravejszligYYacuteaagravejjMNPY H [ bn[]OOgraveUPJLhY[PJ H [WNih^Y H MeJpoundZaringQcOQCZIacutejFZ UiNPfcjeJeuml[SXregocirc2NPYfrac34agraveacircntilde ograveegrave^ MeJbnhQ H JLhQR[]O H MeJUO centEgraveJUbn[]ZOslashJUYaring

ocirc|adOuml UgraveUcircUacuteUuml aagravejszliglOumlcopytimesOslashaagravejszligYYacuteaagravejjaacute thorn yuml uuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszliglOuml UgraveUcircUacuteUuml aagravejj atilde auml 5$ thorn yuml uuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashKaagravejj atilde aumlj uacuteucirc thorn yuml uuml thorn otilde)yuml a2atildeshyszligaumlFj THORN adh]jMJoXqjOb H Qc[]ONPf_ocircOcircadOumlyacuteUgraveUacuteUumllaagravejszliglOuml timesOslash aagravejszligYYacuteaagravejjaeligQcY H MeJLhZJUNX H JLh O[ H JU^egraveocirc|aagraveje0NPO^H MeJ ^eJUYZbnhQcK H [PhYuuml thorn timesOslash yuml a2atildeshyszligaumlKszliglOumlcopytimesOslashKaagravejj NPO^icircuuml thorn UgraveUcircUacuteUuml yuml a2atildeltszligaumlgtszliglOuml UgraveUcircUacuteUuml aagravejjaringNihZJ`hZJUYKEgraveJUb|VH QVUPJUfmUacuteO[ H JU^laquouuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejgNPO^laquouuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszligYagravejeWMQcbdMTfRJUNP^Y H [ H MeJXiacute[]fcfR[WQcO[

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ fSfJkWKhZJUYZYQR[]OOaring

ocirc|aagravejumlaacute thorn yuml uuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszligYagravej atilde auml $ thorn yuml uumlgtthorn timesOslash yuml a2atildeltszligaumlgtszligYagravej atilde aumlj uacuteucirc thorn yuml uumlgtthorn otilde)yuml a2atildeshyszligaumlFj THORN af s j5OOtildebn[]O H hdNPY H WQ H MUacute[ H MeJLh9NPb H QVUPJFbn[]O H []jehdY9NiKKh[]NPbMeJUYe H MeJy^mWONSZaringQcbLNPfPYZbdMeJZOslashJQcYtimesMeJLhZJ^QRhJUb H fVmQcO H h[B^jbnJU^QcO H MeJbnhQ H JLhQc[]OO^ Q H MYZjbdMNeumlYZbdMeJZOslashJSe H MeJQcO H hZ[W^jb H QR[]OOacute[SXiexclNPO NPb H QVUPJbn[]O H []jehOslashJUP[]fVUWQcO[ WQ H Msup1agraveQcYaeligY H hNPQ[]M H Xiacute[PhYWNih^O^iexclJUObnJ WNtildeJbn[]OYZQc^eJLh H MN H Yacuteaagravej QsYoZaring[B^eJUfsfRJU^ NPY NPO NPb H QUPJOacutebn[]O H []jh H MN Hbn[]OUPJLhY[PJUY H [WNih^Y H MJgONPfEgraveJkWKEgraveJUb H JU^YJ[]ZOslashJUO H N H QR[]OO^9J H Yacutea s jtimescentEgraveJ H MeJQcOQ H QcNPfNtildebLjhYUPJa^eJOJU^centm H MeJjYJLh^ JahZJUbLNPfcf H MN H WFJYJUNihdbMtXiacute[Ph YacuteaagravejNPYNaringbLjehlUPJaumlJUP[]fVUWQcO[aringNPbLbn[Ph^QsO[ H [ H MeJgXiacute[]fcfR[WQcO[ordm5 aringaelig YacuteadTHORNOgraveszligYagravejaelig agrave aacuteegraveeuml WiexclQ H MigraveYacutea s j|aacuteegraveYacuteshyiacute afSfjWMJLhZJ_euml`QcY H MJ_UPJUfR[WbLQ H mUPJUb H [Ph([SX H MeJUacuteNPb H QVUPJOtildebn[]O H []jh^MeJ_Z NPQcO KhZ[PcentfRJZfcQcJUYFQsO-O^QcO[ H MeJiexclUPJUfR[WbLQ H meumlXhZ[]Z H MJUacutebnhdQ H JLhQR[]Opoundaf s jFQcO [Ph^JLh H [ordm[PJ HH MeJXqNPY H JUY H bLjhYUPJaumlJUP[]fcj H Qc[]O H [WNih^Y H MeJordfONPfYJ[]ZaringJUO H N H QR[]O^^ ^iexclEacuteltIacuteETHNtildeFETHEacuteshyOacute Eacute10wETH9Igrave8ltIgraveFEgravegt+NtildeFETH3gt+ltIgraveumlEacute10frac34ETH9Igrave=KEgrave13ETHIgraveFEgraveEacuteshyOacute5Oeuml[Ph^eJLh H [ [Pcent H NPQsO H MeJOslashJUP[]fcj H QR[]OeumlJBjN H QR[]Oe H MeJaringbnhQ H JLhQc[]OxocircOcircaagravej5ZtimesjY H centEgraveJ^QV=JLhZJUO H QcN H JU^WQ H MhZJUYKEgraveJUb H(H [agrave^MeJOtildeQcO H J[PhNPfcentEgrave[]jO^Y^eJLKEgraveJUO^ []Otagrave NPO^H MeJauml^JUYZbnhQRK H [PhdYyacuteuuml thorn UgraveUcircUacuteUuml yuml a)jNPO^wuuml thorn times Oslash yuml a)juZaringNm NPfcY[aring^JLK=JUO^[]Otagrave^9J H jY^eJOJ H MeJordfXiacutejOb H QR[]ONPfuumlOa2atildeltszligaumlgtszligYagravejYZjbM H MN H aring

uumlOa2atildeltszligaumlgtszligYagravej|aacute uuml thorn UgraveUacuteUuml yuml a2atildeltszligaumlgtszligYagravej QVXcopya2atildeltszligaumljwOuml UgraveUcircUacuteUuml aagravejuuml thorn times Oslash yuml a2atildeltszligaumlgtszligYagravej QVXcopya2atildeshyszligaumlFjtOumlcopytimesOslashKaagravej af jMJbXqjOb H QR[]ONPfuuml thorn UgraveUcircUacuteUuml yuml a)jNPO^Huuml thorn times Oslash yuml a)j`NihZJ^eJOJU^ []O H MeJxWMe[]fRJ7QZaringN[PJ^e[]Z NPQcOtOumliexcl^FMeJUOe H MeJaumlbnhQ H JLhQc[]OocircOcircaagravejuWhQ H JUY(NPYaring

ocirc|aagravejOcircaacute uacute uumlOa2atildeshyszligaumlKszligYagravej atilde aumlj uacuteucirc thorn yuml uumlgtthorn otilde)yuml a2atildeshyszligaumlFj THORNordfaacuteocirc aagravej ocirc cent aagravej af]jWMJLhZJgOuml QcY H MeJaumlQCZaringN[PJT^e[]ZaringNPQsOOeeNPO^Oaring

ocirc aagravej|aacute uacute uumlOa2atildeshyszligaumlKszligYagravej atilde aumlocirc cent aagravejOcircaacute uacuteucirc thorn yuml uuml thorn otilde)yuml a2atildeshyszligaumlFj THORN

uumlnyacutenthornnyumll13YSordmY_F

f $amp)(+-)013021+345627893lt=gt9A6CB5OOtilde[Ph^eJLh H [bn[]ZaringKj H J H MJ0^eJLhQVUiN H QVUPJy[SX H MJNtildebnhQ H JLhdQR[]Olaquoocirc aagraveje H MJNtilde^QcYbn[]O H QcOBjWVQ H QcJUY|ZtimesjY H JkWKfcQcbLQ H fVmIacutecentEgraveJ H N`PJUOQcO H [IacuteNPbLbn[]jO H ^ not [Ph(YZjbdM NIacuteKjehZKEgrave[]YJSeSWFJ5hY HhZJUbLNPfsf-N[PJUOeJLhNPf H MeJL[PhJZbn[]ObnJLhOQcO[ H MeJUacute^eJLhQVUiN H QVUPJ[SX9N H QZOslashJnV4^eJLKEgraveJUO^JUO HbnhQ H JLhQR[]OO^9J H jY(^eJ-OeJyOumlcopytimesaagravejNPYNOslashhZJ[]Qc[]OQcObLfcj^eJU^QcO H [regOumlordf^yacute5 q Ntilde_ f^1ltuumlStimesBiexcl centpoundcurrenyencurrenbrvbarsectumlordfcopynotlaquo3shyyenLregmacrcurrenRlaquodegcurrenbrvbarlaquo Oumlplusmna s szligsup2|iexcljsup3acute Rlaquomicromiddotparagtltocirc|aagravejOcircaacute w thorn yuml uumlStimesYa2atildeltszligaumlgtszligYagravej atilde auml~sup3cedilsectsup1ltlaquoordm ocirc agrave aacuteocirc7raquodaagravejOcircaacute thorn yuml aelig uumlStimesaelig agrave atilde auml uacutefrac14 thorn yuml uumlStimesYafrac34frac12 eacuteAgraveiquestsup1AacuteAtildeAcircYj THORNAuml sectsup1ltAringPfrac12AEligreg(centsectsup1Ccedilbrvbar_paracurrenyenshyltregLLEgraveacutecurrensup2uml aelig Oumlcopytimesaagravej RlaquomicroeacuteAgraveiquestsup1AacuteAtildeAcircEacuteregEcirccentsectsup1copysup1laquoregEumlreg(laquo Auml brvbarAringsup2microacutelaquocurrenRAringordfpound RparaIgravecurren aelig Oumlcopytimesaagravej_IacuteMJ^JLhQVUiN H QVUPJ[SXshyocircWQ H MaelighZJUYZK=JUb HampH [yagraveaeligQcY H MJyacute0jfRJLhdQcNPOIacute^JLhQVUiN H QVUPJ([SXocirc|adOumlcopytimesAjQcO H MeJOtilde^QRhJUb H QR[]O [SXEumlfrac12umleWMQcbdM bn[]ZaringKj H N H QR[]O QcY[]QVUPJUO QsO iexclKKEgraveJUO^Qkaring ^FMeJUiNihQcN H QR[]Oeuml[SX5ocirc QcYOtilde^jeJ H [ H MeJUiNihQcN H Qc[]O[SX H MeJordmXiacutejOb H QR[]ONPfOcircuuml]timesa2atildeltszligaumlgtszligYagravejaumlNPO^H [ H MeJgZOslash[ H Qc[]O[SX H MeJOtildeQcO H J[PhNPf^e[]ZaringNPQsOOumlutimesaagravej^ Y(Naeligbn[PhZ[]fcfcNihYm [SXltMJL[PhZJZfeFWFJordf[PJ H aringv q q shy9 5lt f^yenIcirccopyNcentampcentcopyIuml-Iumlsup1currenfcentyenYsectnot -sectsup1Ymicro-currenRpound Rreglaquofrac34Oumlgaagravejampreg(centpound -microETHcopyIumliexclcurrensup2uml Auml currenCIuml RAringordfcentsup3yOuml timesOslash aagravejNtilde RlaquomicropoundOumlyacuteUgraveUacuteUumllaagravejOgravecentyenfrac34Iumlsup1 brvbarAringsup2 brvbarmicro_Egraveh iexclpoundYcurrenbrvbarCcedildreglaquoNOacutehreglaquo5_Aringumllt -shytYacuteaagravejAuml sectETHregmacrshy_sectOcircCcedilRltparaOtildecurrendshyltregLLEgraveregEcirccentyacuteeumlEumlIacuteOumlsectsup1Uumlordfcopynotlaquo3shyyenLregmacrcurrenRlaquouumlOa2atildeltszligaumlgtszligYagravejreg(centcentordfcopyIuml-Iumlsup1currenfcentyenmicroOcircIgravecurrenOcirccentltfrac34Iuml RAringsup2 -_paraEgraveshycurrenRlaquo5LreglaquocopycurrenRcopynotcentcedilreglaquoyOumlcopytimesOslashKaagravejW Rlaquomicro Ouml UgraveUcircUacuteUuml aagravej_copy3pound REgraveampJmicrobrvbarregEcirccentltshycurrenRlaquo5LreglaquocopycurrenRcopynotcentJ -shyltAringPcurrenfcentcentYacuteaagravej_Iacutetimes Agravelaquocurrenbrvbaruuml thorn times Oslash yuml Rlaquomicroruuml thorn UgraveUcircUacuteUuml yuml sup3sectsup1Ccedilf brvbarparacopy5iexclcurrensup2umlwuumlreglaquoOslashAringordfcentIumlshydLreg(Ccedilbrvbar_paraEgraverOumlutimes OslashaagravejAgrave Rlaquo3microOuml UgraveUcircUacuteUuml aagravej_IacuteUgraveOumlsectNcopyNcentampsectmicroETH_Aringordfreg(CcedilR brvbarLregCcedilRcurrensup2umlordfocirc|aagravej Auml AringregLordfcent fcent_ordm

ocirc7raquo)aagravejOcircaacuteUacute thorn yuml aelig uumlaelig agrave atilde auml uacutefrac14 thorn yuml uumlOaLUcirc eacute iquestsup1Aacute j THORN uacuteucirc thorn yuml uumlNaeuml eacuteHj THORNAuml sectsup1ltAringPacute uumlNAringfrac34Iuml3AringP_centlt_laquocentYsectUumlordfcopysup1poundUgraveIumlcurrensup2umlguumlh -shyltAringPcurrenfcentcentordfYacuteaagravej_ordmW uumlNaacuteacircuuml thorn UgraveUacuteUuml yuml uuml thorn times Oslash yuml sup3eacute sectsup1ncopynotlaquo5reglaquo3currenRAringpound RparaIcirccurrensup2umlordfYacuteaagravejmicrobrvbarreg(AringshydmicroampumlAringPcurrenRpound Ouml UgraveUacuteUuml aagravejIgravecurrenOumlutimes OslashKaagravejsup3eacuteAgraveiquestsup1Aacutesectcopysup1laquoregLEumlreglaquo Auml RAringPmicroOcirclaquocurrenRAringordfpound Rpara1Igravecurren aelig Oumlgaagravejj RlaquomicroUcircYacutesectsup1jCcedilbrvbar_paracurrenyenshyltregLLEgravenCcedilbrvbarshydIgravecurrenRAringjcurrensup2uml_Oumlyaagravej_Iacute

plusmngLMOMraquo aring JbLNPO NiKKfVm MJL[PhZJZ f H [ H MeJ ^[]ZaringNPQcO Oumlutimes OslashaagravejaringNPO^ H [ H MeJ^e[]Z NPQcOtOuml UgraveUcircUacuteUuml aagravej^ ^^QcO[ H MeJ H WF[aringJjN H QR[]OYeFWFJOtilde[Pcent H NPQcO H MeJTbn[PhZ[]fcfsNihYmS^ H QcYIacuteOe[WY H hNPQ[]M H Xiacute[PhYWNih^ H [[PJ HtimesH MeJ ^eJLhdQVU~N H QUPJ [SX H MeJ bnhQ H JLhQR[]O ocirc aagravejaringWFJ H N`PJ5OumlyaagravejOcircaacuteAumlOuml H MeJiexclQZaringN[PJ^e[]Z NPQcOta not QV[^ j^MJUOOePcentmaeligJkWKfcQcbLQ H fVm H N`WQcO[

uumlnyacutenthornnyumll13YSordmY_FY

yenKbrvbarsect =4 acirc $ fH MeJtimes^QcYZbn[]O H QcOBjQ H QRJUY(QsO H [ NPbLbn[]jO HUacuteH MNPOF`BY H [ H MeJtimesbn[PhZ[]fcfcNihlmSe H MeJtimes^eJLhQVUiN H QVUPJ[SXocirc aagravejQcYcopy[]QVUPJUOacentmKaring

ocirc raquo aagravejumlaacute uacuteucirc thorn yuml uumlNaeuml eacutej THORN uacutefrac14 uumlOaLUcirc eacuteAgraveiquestsup1Aacutej THORN $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde auml thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afj

q centUWQR[]jYZfVmSe H MeJ7YJUbn[]O^ H JLhlZ [SX H MeJ7^eJLhQVUiN H QVUPJ afjaQcYcurrenLJLh[ YZQcObnJ H MeJJk H JLhONPf(centEgrave[]jO^NihYm aelig OumlD[SX H MeJ`QZaringN[PJaQcYkBJU^^OcircJLKfcNPbLQsO[` uumlN_WQ H MQ H YJkWKhZJUYZYQR[]OOeWNtildeJyO^Oaring

ocirc7raquo aagravejumlaacute uacuteucirc thorn yuml aduuml thorn UgraveUcircUacuteUuml yuml1 uuml thorn timesOslash yuml jaeuml eacuteHj THORN $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde auml thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afmacr]jMJUacute^JLhQVUiN H QVUPJOtilde[SXocirc cent aagravejQcY(bLfcNPYZYQcbLNPfdaring

ocirc7raquocent aagravejOcircaacute uacuteucirc thorn yuml a uuml thorn otilde)yumld huuml thorn otilde)yuml7 eacutejaeuml eacutej THORN af]jWMJLhZJ a2atildeshyszligaumlKszligYagravejQcY H MeJaumlbLjehlU~N H jehJ[SXQYacutea2atildeltszligaumlgtszligYagravej^MeJLhZJXiacute[PhZJSe H MeJOtilde^eJLhQVUiN H QVUPJ[SX H MeJgWM[]fRJOtildebnhQ H JLhQR[]O QsY H MeJordfXiacute[]fcfR[WiexclQcO[aring

ocirc raquo aagravejpoundaacute $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde aumlamp thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afzSj uacuteucirc thorn yuml aduuml thorn UgraveUcircUacuteUuml yuml uuml thorn timesOslash yuml uuml thorn otilde)yuml huuml thorn otilde)yuml eacutejaeuml eacutej THORN

^ ^~THORNUgrave2FEgraveOIgraveIcircIcirclt2EacuteltOacute Eacute0frac34ETH9Igrave8shyIgraveFEgraveEcirc+NtildeFETH3Ecirc+ltIgraveNtilde7==EacuteltEgrave7813Oacute14 ETHOEacute ETH9IgraveOacuteszligltOacuteshyEacuteOacuteAgrave+QIgraveFEumlEacuteAtilde=13ETH+ltIgrave5=KETHOEacuteshyEgravesup1euml5Oaelig[Ph^eJLh H [Tbn[]ZaringKj H J H MeJuUPJUfR[WbLQ H mUPJUb H [PhcopyeumleSWNtildeJMNUPJ H [yZ N`PJQ H NiKKEgraveJUNihyQcOH MeJhY HH WF[ ^e[]Z NPQcOaQcO H J[PhNPfcYiexcl[SX afzSjcentmJkWKhZJUYZYQcO[ H MeJZ NPY_XiacutejOb H QR[]OY[SX H MeJgUPJUfR[WbLQ H meumlQ^iexclJLhZJiexclWFJ H N`PJ H MeJ5[PJUOeJLhNPfbLNPYZJ5WiexclMeJLhZJ H MeJ^JUYZbnhQRK H [PhdYZaringNm ^eJLKEgraveJUO^ []OXiacuteJUN H jehZJUY5[]fR[PcentNPfsfVmN HH NPbMeJU^ H [ H MJtimeshJ[]QR[]OeumlNPO^eumlY[oZ Nm`^JLK=JUO^a[]O agrave^ JZOslash[W^eJUf$JUNPbdM^eJUYZbnhQRK H [PhIacuteNPYtimesNabn[]ZIacutecentQcON H QR[]OOacute[SXuXJUN H jhZJUYy[]fc[PcentNPfcfVmeumlN HH NPbMeJU^

uumlnyacutenthornnyumll13YSordmY_F

f $amp)(+-)013021+345627893lt=gt9A6CBH [ H MJOtildeJUP[]fVUBQsO[OslashhZJ[]QR[]OY_OumlcopytimesOslashKaagravejF[Ph_Ouml UgraveUacuteUuml aagravejaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejpoundaacuteAElig thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn timesOslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejszligiumlViumlViumlVszligagrave thorn timesOslash yumlaacute aagravejjuuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszligYagravejpoundaacuteAElig thorn UgraveUcircUacuteUuml yuml a2atildeltszligaumlgtszligagrave thorn UgraveUcircUacuteUuml yuml aagravejszligagrave thorn UgraveUcircUacuteUuml yumlcent aagravejszligiumlViumlViumlVszligagrave thorn UgraveUcircUacuteUuml yumlacirc aagravejjafi]j

WMJLhZJSaring agrave thorn(atilde yumlauml aacute 7aring thorn yuml5aelig thorn(atilde yumlauml a2atildeltszligaumlgtszligYagravej atilde auml WQ H Mpounda jOcircaacuteacircaVltjF[Pha Kf5 jiuml afh]j9J H jYuhY H bn[]ZOslashKj H J H MeJIacute^eJLhQVUiN H QVUPJOtilde[SXuuml thorn timesOslash yuml eFWFJgO^Oaring

aelig uuml thorn times Oslash yumlaelig agrave aacute aacuteccedilaumlegrave aelig thorn timesOslash yumlaelig agrave thorn times Oslash yumlauml a2atildeltszligaumlgtszligagrave thorn timesOslash yuml aagravejszligiumlViumlViumlVszligagrave thorn timesOslash yumlaacute aagravejj aelig agrave thorn timesOslash yumlaumlaelig agrave aagravej a s j J MNUPJOe[W H [bn[]ZOslashKj H J H MeJ ^eJLhdQVU~N H QUPJ [SXagrave thorn timesOslash yumlauml NPbLbn[Ph^QcO[ H [umlagrave^ JNiKK-fVm H MeJgMeJL[PhZJZigravefaumlNPO^WNtildeJy[PJ H aring

aelig agrave thorn timesOslash yumlaumlaelig agrave aacute $ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde auml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacutej THORN a fj

JLKfcNPbLQcO[ H MeJNtilde^eJLhdQVU~N H QUPJUY9[SX3agrave thorn timesOslash yumlauml WQ H M H MeJUQRhJkWKhZJUYZYZQc[]OYa fj9QcOa s jeSWFJ[Pcent H NPQsO H MJXiacute[]fcfR[WQcO[iexclJkBKhJUYZYZQR[]OX[Ph H MJF^e[]Z NPQcOaeligQcO H J[PhdNPf[SX H MeJ^eJLhQVUiN H QVUPJ[SX H MeJT^eJUYbnhQRK H [Ph uuml thorn times Oslash yuml aring

$ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde aumlacircaacute aacuteccedilaumlordfegrave -eacute thorn timesOslash yumlauml $ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde auml

aacuteccedilaumlordfegrave eacute thorn timesOslash yumlauml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacuteHj THORN a S jWMJLhZJSaring

eacute thorn timesOslash yumlauml aacute $ thorn yuml aelig thorn timesOslash yumlaelig agrave thorn timesOslash yumlauml a2atildeltszligaumlgtszligagrave thorn timesOslash yuml aagravejszligiumlViumlViumlVszligagrave thorn times Oslash yumlaacute aagravejj atilde auml a ]jMJIacuteJkWKhZJUYZYQR[]OwXiacute[Pha jyacuteaacute a Kf jiexclQcYbn[]ZOslashKj H JU^QsO H MeJaeligYZNSZOslashJordmZaringNPOOeJLhiexclWMQcfRJKNmBQsO[N HH JUO H Qc[]O H [ H MeJ`^QRhZJUb H QR[]O[SX H MeJ`Oe[PhlZaringNPfcopyUPJUb H [PheNPO^rWFJ H MBjY

uumlnyacutenthornnyumll13YSordmY_Fsup2

yenKbrvbarsect =4 acirc $ fmacr[Pcent H NPQsO H MeJg[PJUOeJLhNPfgJkBKhJUYZYZQR[]OXiacute[Ph H MeJauml^JLhQVUiN H QVUPJOtilde[SXocircOcircaagravejaring

ocirc raquo aagravejumlaacute uacuteucirc thorn yuml aduumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn times Oslash yuml uumlgtthorn otilde)yuml d hreguumlgtthorn otilde)yuml eacuteHjaeuml eacutej THORN aacuteccedilaumlordfegrave eacute thorn timesOslash yumlauml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacuteHj THORN acircccedilaumlordfegrave eacute thorn UgraveUcircUacuteUuml yumlauml uacuteucirc thorn yuml aelig thorn UgraveUcircUacuteUuml yumlauml aeuml eacutej THORN aacuteccedilaumlordfegrave -eacute thorn timesOslash yumlauml $ thorn yuml aelig aelig thorn

timesOslash yumlaumlaelig agrave atilde auml acircccedilaumlordfegrave eacute thorn UgraveUcircUacuteUuml yumlauml thorn yuml aelig aelig thorn

UgraveUcircUacuteUuml yumlaumlaelig agrave atilde auml a j^ ^ecirccopyEgraveEacuteshyIacuteIumlETH39shyIgrave8shyIgraveFEgraveEcirc+NtildeFETH3gt+QIgraveETHOEacute3iexclNtildeshyEgrave78QIcircETH9IgraveumlIgrave+EacuteltEumlETHshyETHEacuteshyOacuterIgrave5euml1ONtildeFETH32EacuteltOacuteEacute10wETH9Igrave Ntilde=KETH3gt+ltIgrave=EacuteshyOacuteshyETHEacute1EgraveMJ[P[]NPf[SX H MQsYampKNih H QcY H [aumlbn[]ZOslashK-j H J H MeJ(JkWKhZJUYZYZQc[]Oaelig[SX H MeJuUPJUfc[BbLQ H mUPJUb H [PheumlwWMQcbdMregZaringN`PJUY H MeJUacutebLjehYUPJJUP[]fVUPJOtildeNPYXiacuteNPY H NPYFKEgrave[]YZYZQRcent-fRJ H [WNih^Y(NZaringQcOQCZIacutejFZ[SX H MeJaeligbnhQ H JLhdQR[]Oumlocirc^KO`[Ph^eJLh H [ ^JU^jbnJ H MJyUPJUfR[WbLQ H mwUPJUb H [PhOtilde[SX H MeJaeligNPb H QVUPJbn[]O H []jehQXhZ[]Z H MeJF^eJLhQVUiN H QVUPJ0[SX H MeJNtildebnhQ H JLhQR[]OOeWFJMNUPJ H [5Z N`PJFNiKKEgraveJUNih H MeJUPJUfR[WbLQ H moUPJUb H [PhUacuteQcO H MJTfcNPY HH WNtilde[ ^e[]ZaringNPQcOaQcO H J[PhdNPfcY(centm JkWKhZJUYYZQcO[ H MeJZ NPYcentEgrave[]jO^NihYm QcO H J[PhNPfcY^FMQcYbLNPOaJUNPYZQcfVm centEgraveJauml^e[]OeJTjYZQcO[MJL[PhZJZigravefe-^[]ZaringNPQcOQcO H J[PhNPfcYbLNPOeumlNPfVWNmWYiexclcentEgraveJIacuteJkBKhJUYZYJU^ NPYcentEgrave[]jO^NihYm QcO H J[PhdNPfcY^gtiexcl[WFJUPJLheOXiacute[PhYZQCZOslashKfcQcbLQ H mSe-fcJ H jYbn[]OYZQc^eJLh H MeJaringbLNPYJUYgWMeJLhZJ H MeJUYJOslashfcNPY HH WNtilde[`QcO H J[PhdNPfcYOtildeNihZJJBjNPf H [currenLJLhZ[eOgraveWMQcbMaringMNiKKEgraveJUOYX[PhZOslash[]Y H hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhdQRK H [PhY^S5OH MN H bLNPYJSeNPbLbn[Ph^QsO[ H [ H MeJaeligQcOeJBjNPfcQ H m[SXvNPjbdMOgravemV G bdMOgraveWNih H currenSe H MeJXiacuteNPY H JUY H^eJUbnhJUNPYJa[SXocirc|aagravejOslashQcY [Pcent H NPQcOeJU^ XhZ[]Zecirca jOslashcentm bMe[B[]YZQcOF[beuml aacute ccedilyeacute WMQsbMfRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[aeligJUP[]fcj H Qc[]O JjN H QR[]OOaringaelig Yacuteaagravejaelig agrave aacuteFuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yuml uuml thorn otilde)yuml eacute aacuteccedilaumlordfegrave ETHeacute thorn timesOslash yumlauml aelig thorn timesOslash yumlauml acircccedilaumlordfegrave ETHeacute thorn UgraveUcircUacuteUuml yumlauml aelig thorn UgraveUcircUacuteUuml yumlauml lteacute a macr]jUcircX H MJ^eJUYZbnhQRK H [PhY$^e[TOe[ H ^eJLKEgraveJUO^times[]OregagravetaiacutehZJ[]QR[]OeV4QcO^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhYjeH MeJgiexcl hZJU^jbnJUY H [ H MeJordfXiacute[]fcfR[WQcO[aeligJkWKhZJUYZYQR[]OOaringaelig Yacuteaagravejaelig agrave aacuteigraveuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yumldn reguuml thorn otilde)yuml7 eacutelteacute a ]j

uumlnyacutenthornnyumll13YSordmY_FY

f $amp)(+-)013021+345627893lt=gt9A6CB JaeligbLNPO`O[ H QcbnJ H MN HH MeJtimes^eJLKEgraveJUO^eJUObnJauml[SX H MJIacute^eJUYZbnhdQRK H [PhY[]OwagraveeEgraveNPO^aY[ []OH MeJiexclbLjehYUPJJUP[]fcj H QR[]OOeQcO^jbnJUY0NP^^Q H QR[]ONPf H JLhlZaringYFQcO H MeJiexclJUP[]fcj H QR[]O JjN H QR[]O[SX H MJFNPb H QVUPJ(bn[]O H []jeh^SMeJNP^^Q H QR[]ONPf H JLhZaringYQX[]jO^IacuteQcOoa macr]jbLNPOOe[ H hZJUNP^QsfVmcentEgraveJtimes[Pcent H NPQcOeJU^ WMJUO H MeJOslash^mBONSZaringQcbLNPfampYZbMJZOslashJaringQcYOtildeQcO H hZ[W^jbnJU^eumlNX H JLh H MeJOslashbn[]ZaeligVKj H N H QR[]Oa[SX H MeJaelig^eJLhQVUiN H QVUPJaeligjYZQcO[o0jfcJLhVA9N[PhNPOF[PJIacuteJBjN H QR[]OY^MjYe-Q H QcY[SX=KhQZaringJOeJUbnJUYZYZQ H m H [TQcO H hZ[B^jbnJ H MeJ^mWONSZaringQsbLNPfeYZbMeJZaringJiexclQcO H [ H MeJbnhQ H JLhQR[]OQ H YZJUfVXiexclQcO[Phd^eJLh H [JUNPYZQsfVmsup1[PJ H H MeJUYJaNP^^Q H QR[]ONPf H JLhlZ Y QcO bLNPYJa[SXhJ[]QR[]OWV^eJLKEgraveJUO^JUO H ^JUYZbnhQRK H [PhdY^MNPO`BY H [ H MeJUYJeumlNP^^Q H QR[]ONPf H JLhlZaringYeWFJ`JUOYZjehZJH MeJordfXqNPY H JUY H JUP[]fcj H QR[]O [SX H MeJIacutebLjehYUPJ H [WNih^YiexclNZaringQcOQZIacutejZ [SX H MeJTbnhdQ H JLhQR[]OO^ JeumlbLNPO NPfcY[hZJZaringNihY` H MN H H MeJUPJUfR[BbLQ H m[SX H MeJ bn[]O H []jhQsOa macr]j bLNPOcentEgraveJ K=[]YQ H QVUPJ[PharingOeJ[]N H QVUPJS^|MQcYaeligNPO QcO H JLhZJUY H QcO[eumlKh[PK=JLh H mOacute[SXiexclhZJ[]QR[]OWVcent-NPYJU^NPb H QVUPJ bn[]O H []jehY^ q O H MeJ bn[]O H hNihYm H [ centEgrave[]jO^NihYmVcentNPYJU^7NPb H QVUPJ bn[]O H []jehdYehZJ[]Qc[]OWVcentNPYJU^7NPb H QVUPJbn[]O H []jehYOslashNPfcfR[WYZ[]ZOslashJKNih H Ytimes[SX H MeJ bLjehYUPJ H [YZMehQsO`WMQcfRJ[ H MeJLhY(JkWKNPO^O^FMjY H MeJaumlQcOQ H QsNPfcQVcurrenUN H QR[]O QcYfRJUYYbn[]OY H hNPQsOeJU^O^^ macr^iexclEacuteltIacuteETHNtildeFETHEacuteshyOacute Eacute10wETH9IgraveumlIgravesup1+shyEacuteltEumlETHETH3EacuteshyOacuterIgrave5euml1ONtildeFETH32EacuteltOacute0EacuteltEgravexIcircEacuteshyIacute5IgraveIgrave2shyNtildeshyIacuteEumlOgraveIgraveIcirclaquoEacute10C8ltIgraveIcircd=KEgrave(ETHEacuteltEgraveIcircMJu[P[]NPf[SX H MQsY$KNih H QsY H [timesbn[]ZaringKj H J H MeJiexclJUP[]fcj H QR[]O JjN H QR[]Oaring[SX H MeJNPb H QVUPJbn[]O H []jehOcircXiacute[Ph0Y[]ZOslashJ(JkeNSZOslashKfcJUY$[SX-hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhY^SgJ H jY H N`PJY[]ZaringJT^eJUYZbnhQcK H [PhY(^eJLKEgraveJUO^QsO[aelig[]O H MeJyZOslashJUNPOBSOtimesOslash [Phiexcl[]O H MeJgUiNihQcNPObnJjuFtimesOslash [SXH MeJOtildeJUP[]fUBQcOF[OslashhZJ[]QR[]OwOumlcopytimesOslashaagravejaringEFFG FFH SOtimesOslashKaagravejumlaacute iacute $ w$ thorn yuml Otilde atilde auml WiexclQ H M icirctimesOslashaacute w$ thorn yuml atilde aumlu centtimes Oslash aagravejsup1aacute iacute $ w$ thorn yuml aOtilde SOtimes OslashKaagravejj cent atilde auml^ macr^f^iumlordfcentltshyltAringordfregethIumlIgravecurrenRAringcentmicroETHfrac34IumlltlaquomicroRreglaquoNOacute]currenRlaquosectsup1jCcedilR RAringordfregL Rlaquo3shy JTbdMe[B[]YJ H MeJgXiacute[]fcfR[WQcO[OslashYJ H [SX^eJUYbnhQRK H [PhYaring

uuml thorn UgraveUcircUacuteUuml yuml ^e[BJUYOe[ H ^eJLKEgraveJUO^[]Owagraveuuml thorn timesOslash yuml aacutecntildeaLuOcenttimes Oslash j a zSjWMJLhZJampntildeaOgravejQsYNOslashKEgrave[]YZQ H QVUPJiexclXqjOb H QR[]O[SX$bLfcNPYYograve aj^MQcYiexclUPJUfR[WbLQ H mumlUPJUb H [PhOslashQcYaumlbn[]ZaringKj H JU^centmeumlhZJLKfcNPbLQsO[ H MeJ H JLhZaringYauml[SXga jgWQ H MH MeJUQch$JkBKhJUYZYZQR[]OY^ J hY H JkWKhZJUYZY H MeJ^eJUYZbnhQcK H [Ph|uuml thorn timesOslash yuml NPYyNTbn[]ZTcentQsON H QR[]O[SXamp^e[]ZaringNPQcOY(QcO H J[PhdNPfcYaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacutemiddot thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn timesOslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejjaacutecntildeoacute agrave thorn timesOslash yuml aagravejagrave thorn timesOslash yumlcent aagravejfocirc a i]j

uumlnyacutenthornnyumll13YSordmY_FPa

yenKbrvbarsect =4 acirc $ fzWMJLhZJSaring EFFG FFH agrave thorn timesOslash yuml aagravejpoundaacute w$ thorn yuml aOtildegta2atildeltszligaumlj SOtimes OslashaagravejjUcirccent atilde aumlagrave thorn timesOslash yumlcent aagravejpoundaacute w$ thorn yuml atilde auml a h]j O^ H MBjYaring aelig thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacuteacircaOtildeKa2atildeshyszligaumlFj S timesOslash aagravejjUcirccentaelig thorn timesOslash yumlcent a2atildeshyszligaumlKszligYagravej|aacute f ad s j Y5XiacuteNihaumlNPY H MeJOslash^e[]Z NPQcO`QsO H J[PhNPfsYUacute[SX H MeJOslash^eJLhQVUiN H QVUPJaelig[SX H MJXqjOb H QR[]OY aelig thorn timesOslash yumlaumlNihZJaumlbn[]ObnJLhOeJU^OeFWFJauml[Pcent H NPQsOOaringEFFFG FFFH w5$ thorn yuml frac14ltotildeouml $_divideoslashfrac14 atilde aumlordmaacute frac14ltugrave $frac14 w$ thorn yuml aOtildeKa2atildeshyszligaumlFj SOtimesOslashKaagravejj atilde aumlaacute sw5$ thorn yuml frac14ltotilde ouml $_divideacircfrac14 atilde aumlordmaacute s adfjMJ H JLhZaringY eacute thorn timesOslash yumlauml NPfcY[aringMNUPJ H [ cent=Jaumlbn[]ZaringKj H JU^OeNPO^tWNtildeJg[PJ H aringEFFFG FFFH eacute thorn

timesOslash yuml aacute w$ thorn yuml uacute ouml $_divideacircntilde raquo7ucirc uacute ouml $_divideoslashuacute ouml $_divideacircyacuteuuml atilde aumlaacutecntilde raquo aLu centtimesOslash jeacute thorn timesOslash yumlcent aacute w$ thorn yumlBthorn uacute ouml $_divideoslashthorn uacute ouml $_divideacirc yuml acirc ntilde raquo ucirc uacute ouml $_divideoslashuacute ouml $_divideacirc uuml atilde aumlregaacute u centtimes Oslash ntilde raquo aLu centtimes Oslash j

G QsObnJ H MeJOslash^e[]Z NPQcO`QsO H J[PhNPfsYiexcl[SX frac14ltotildeouml $ordfdivideoslashfrac14 NPO^ frac14ltotildeouml $_divideacircfrac14 NihZJaeligJBjNPf H [currenLJLhZ[poundadfjeWFJOtildebLNPO ^QRhZJUb H fVm bn[]ZOslashKj H J H MeJiexclUPJUfR[WbLQ H mregUPJUb H [Ph[SX H MeJOtildeNPb H QVUPJTbn[]O H []jehuXiacutehZ[]Za macr]jNPO^WNtildeJyO^Oaringaelig Yacuteaagravejaelig agrave aacuteuumlgtthorn timesOslash yuml uumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn otilde)yuml dacute uumlgtthorn otilde)yuml eacutentilde raquo aLu centtimes Oslash jaaOtilde SOtimesOslashj cent u centtimesOslash jcedilQeacute ad j5Otad jeOgraveWFJbLNPOaringhJZaringNihY` H MeJ(KhZJUYJUObnJ[SX H MJNP^^Q H QR[]ONPf H JLhlZntilde raquo aLuOcenttimesOslash jaaOtilde SOtimesOslashj cent u centtimesOslash jeacuteacirc^^ macr^ ^iumlordfcentltshyltAringordfregethIumlIgravecurrenRAringcentmicroETHfrac34IumlltlaquomicroRreglaquoNOacute]currenRlaquosectsup1jpoundn Rlaquo JTbdMe[B[]YJ H MeJgXiacute[]fcfR[WQcO[OslashYJ H [SX^eJUYbnhQRK H [PhYaring uuml thorn UgraveUcircUacuteUuml yuml ^e[BJUYOe[ H ^eJLKEgraveJUO^[]Owagraveuuml thorn timesOslash yuml aacutecntildeaOtilde S timesOslash aagravejj adS]j

uumlnyacutenthornnyumll13YSordmY_FPo

fi $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJampntildeaOgravejQsYNOslashKEgrave[]YZQ H QVUPJiexclXqjOb H QR[]O[SX$bLfcNPYYograve aj^ YKhZJUWQR[]jYZfVmSe H MeJlaquoUPJUfR[WbLQ H mfrac34UPJUb H [PhTQcYbn[]ZOslashKj H JU^eumlcentmhZJLKfsNPbLQcO[ H MJ H JLhZaringY[SXua jcopyWQ H M H MeJUQRh(JkWKhZJUYZYZQc[]OY^FMeJauml^JUYZbnhQRK H [Ph uuml thorn timesOslash yuml QcY(JkWKhZJUYZYJU^centmKaringuuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacutei thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn times Oslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejjaacutentildeoacuteOtilde agrave thorn timesOslash yuml aagravejagrave thorn timesOslash yumlcent aagravejfocirc adj

WMJLhZJSaring EFFG FFH agrave thorn timesOslash yuml aagravejpoundaacute w5$ thorn yuml Otildegta2atildeltszligaumlj atilde aumlagrave thorn timesOslash yumlcent aagravejpoundaacute w5$ thorn yuml atilde auml adSmacr]j O^ Y[aring aelig thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejOcircaacuteegraveOtildegta2atildeltszligaumljaelig thorn timesOslash yumlcent a2atildeshyszligaumlKszligYagravejOcircaacute f adS]jG QsObnJ H MeJordfXiacutejOb H QR[]OY aelig thorn timesOslash yuml NPO^ aelig thorn timesOslash yumlcent ^e[aringO[ H ^eJLKEgraveJUO^[]OtagraveeFWFJTMNUPJSaringEFFFG FFFH w$ thorn yuml frac14ltotilde5ouml $ordfdivideoslashfrac14 atilde aumlregaacute s

w$ thorn yuml frac14ltotilde5ouml $ordfdivideacircfrac14 atilde aumlregaacute s ad]zSjMJ H JLhZaringY eacute thorn timesOslash yumlauml NihZJ H MJUObn[]ZOslashKj H JU^eNPO^WFJauml[Pcent H NPQcOOaringEFFFG FFFH eacute thorn

timesOslash yuml aacute w$ thorn yuml thorn uacute ouml $ordfdivideacircntilde raquo7ucirc Otilde uacute ouml $ordfdivideoslashuacute ouml $ordfdivideacircyacuteuuml atilde aumlaacute thorn iacute $ w$ thorn yuml ntilde raquo aOtilde SOtimesOslashj atilde aumleacute thorn timesOslash yumlcent aacute w$ thorn yuml uacute ouml $ordfdivideoslashthorn uacute ouml $_divideacirc yuml acirc ntilde raquo ucirc Otilde uacute ouml $ordfdivideoslashuacute ouml $ordfdivideacirc uuml atilde aumlordmaacute ugrave $iacute $ w$ thorn yuml ntilde raquo aOtilde SOtimesOslashj atilde auml JUacutebLNPO H MeJUObn[]ZOslashKj H JUacute^QRhZJUb H fm H MJ_UPJUfR[WbLQ H mUPJUb H [Ph[SX H MeJUacuteNPb H QVUPJOtildebn[]O H []jhXiacutehZ[]Zigravea macr]j(NPO^WNtildeJyO^Oaringaelig Yacuteaagravejaelig agrave aacuteuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yumldacute uuml thorn otilde)yuml eacute aOtilde SOtimesOslashjicircFtimesOslash $ thorn yuml ntilderaquo)aOtilde SOtimesOslashjmiddotQeacute adSi]j

5O H MeJtimesKNih H QsbLjfcNihiexclbLNPYZJIacute[SXIcircntildeaOgravejuaacuteOslashScenteKWFJtimesMNUPJnntilde raquo aOgravejcopyaacute NPO^ H MeJLhZJXiacute[PhZJSeH MeJiexclNP^^Q H QR[]ONPf H JLhlZaringYebn[]ZaringQcO[gXiacutehZ[]Z H MeJ UiNihQcN H QR[]O [SX H MeJiexcl^eJUYbnhQRK H [PhYOcircWQ H MagraveeNihJJjNPf H [gcurrenLJLhZ[^[WNtildeJUPJLheWQsOordmZOslash[]Y H bLNPYZJUYe H MQsYyNP^^Q H Qc[]ONPf H JLhlZoslashQsYyOe[ H

uumlnyacutenthornnyumll13YSordmY_FPy

yenKbrvbarsect =4 acirc $ fhcurrenLJLhZ[^ not [PhaeligJkeNSZOslashKfRJSeampQVXUgraventildea]jaacute yuml Wiexcl cent eshyWiexclQ H MN`KEgrave[]YZQ H QVUPJ bn[]OY H NPO H eQWFJMNUPJSaring

ccedil aacuteFuumlgtthorn timesOslash yuml uumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn otilde)yuml uumlgtthorn otilde)yuml eacute aOtilde SOtimesOslashjicircFtimesOslash $ thorn yuml aOtilde SOtimesOslashj IcircAumlaOtilde SOtimesOslashj cent adSh]j^ ^~IacuteFEumlIgraveFIacute5IgraveFOacuteETHNtildeFETHEacuteshyOacuteAgraven13ETH9 ETH9IgraveumlEumlIgravesup1+ltIgraveFEumltIcircIgraveFETHbIacute5IgraveFETH9shyEacute18 YXqNih0NPY H MeJOBjFZOslashJLhdQcbLNPfeQZOslashKfcJZOslashJUO H N H Qc[]OtimesQsYybn[]ObnJLhOeJU^eSWNtildeJbLNPOZOslash[W^eJUf H MeJNPb H QVUPJaumlbn[]O H []jeh_WQ H MNPOJkBK-fcQcbLQ H KNihNSZOslashJ H JLhdQVcurrenUN H QR[]ObaN[PhNPO[]QcNPOXiacute[PhlZtimesjfcN~VH QR[]OKjaelig[Ph NPO QCZOslashKfcQcbLQ H []OeJraNtildejfRJLhQsNPO Xiacute[PhlZIacutejfcN H QR[]Ogtj^ G JLJra G J H MQcNPOOe5fhSh s jNPO^egraveaJUfcQcO[PJ HH J NPO^ _a[]O H N[]ON H e sSs fjX[PhaeligNPOQcO H JLhZJUY H QcO[eumlbn[]ZOslashKNihdQcY[]OcentEgraveJ H WFJLJUO H MeJ H WNtilde[ZOslashJ H M[B^Y^ iexclO[ H MeJLhOtildeQcO H JLhJUY H QcO[aringhJUBQRJW[]O H MeJtimes^Q=JLhJUO HZOslashJ H M[B^Y[SX$NPb H QVUPJIacutebn[]O H []jehQcY(Kh[PK=[]YZJU^ QcOpoundaw_[]O H N[]ON H J H NPfd^Ve sSs fj^iexclJLhZJSeWFJaumljYJ H MeJaumlfRJUPJUfYZJ H ZOslashJ H Me[W^ NiKKhZ[]NPbdM KhZ[PKEgrave[]YJU^centm q YMeJLhNPO^G J H MQcNPOa q YZMJLh NPO^ G J H MQcNPOe fhSiSi]j centj H hJ[]QR[]OWVcentNPYJU^ NPb H QVUPJeumlbn[]O H []jehdYZaringNmNPfcYZ[ centEgraveJQZOslashKfcJZOslashJUO H JU^7centmjYQcO[`XNtildeV4YK-fcQcOeJUYXiacute[PhaeligNPOJkWKfcQsbLQ H K-NihNSZOslashJnVH JLhQcurrenUN H QR[]O ayhZJUbLQc[]Y[ NPO^XNihfcNPj^Oe sSs fj^shyMJ`PJmeumlQc^eJUN [SX H MeJOslashfRJUPJUfampYJ HZOslashJ H M[B^QsY H [ QcO H hZ[W^jbnJaumlNPO`NPjkWQsfcQcNihYmXiacutejOb H QR[]O l a2atildeltszligaumlgtszligYagravejYZjbdM H MN H YacuteaagravejQcY H MJtcurrenLJLhZ[OacutefRJUPJUfYJ H [SX l ^OcircMJXiacutejOb H QR[]O l QsYaelig[SX H JUO bMe[]YJUO H [centEgraveJ H MeJYZQ[]OeJU^ ^QcY H NPObnJordfXiacutejOb H QR[]O[SXQYacuteaagraveje-NPO^ QsY H MeJUObdMNihNPb H JLhQVcurrenLJU^acentmKaring

YacuteaagravejOcircaacute a2atildeltszligaumljPO l a2atildeshyszligaumlKszligYagravejaacute s a2 s jMQcYOcirc0jfRJLhQcNPOordmXiacute[PhlZtimesjfcN H QR[]O KhZJUYZJUO H YFYJUPJLhNPfEgraveNP^UiNPO H N[PJUYga G J H MQcNPOOeKfhShS]j^not QRhY H fVmSe H MeJabLjehYUPJ l ZaringNmcenthJUN`[PhoZOslashJLhY[PJNPY H MJXiacutejOb H QR[]O l JUP[]fUPJUYeNPO^ H [PK=[]fc[S[]QcbLNPfbdMNPO[PJUYFNihZJ H MBjY$JUNPYZQsfVmOslashMNPO^fRJU^^ G JUbn[]O^fVmSe H MJJUP[]fVUWQcO[XqjOb H QR[]O l a2atildeshyszligaumlKszligYagravejNPfVWNmWY(hZJZaringNPQcOY(NlaquoXiacutejOb H QR[]O NPfcfR[WQcO[timesJltz bLQRJUO H OBjFZOslashJLhVQcbLNPfFYZbdMeJZOslashJUY^OcircMQRh^fVmSe H MeJ[PJL[]ZOslashJ H hQcb KhZ[PKEgraveJLh H QcJUYT[SX H MeJ bLjehYUPJSe$fcQV`PJ H MeJbLjehlU~N H jehJ NPO^ H MeJOslashOe[PhlZ NPfshyUPJUb H [PhordfJUfs^eacute e=bLNPO centEgraveJIacuteJUY H QZaringN H JU^euml^QRhZJUb H fmXiacutehZ[]Z H MeJTfcJUPJUfgYJ H XqjOb H QR[]Oaring aacute V ucirc l l uuml NPO^ eacuteecircaacute l l a2FfjMJJUP[]fsj H QR[]O JBjN H QR[]O H MeJUO centEgraveJUbn[]ZOslashJUYaringaelig l aagravejaelig agrave aacuteegraveccedilacute l a2 jMJregUPJUfR[WbLQ H msup1XiacutejOb H QR[]OxccedilEQcYIacutebn[]ZaringKj H JU^7[]OfVm[]O H MeJbLjehYUPJYacuteaagravejaumlcent-j H WFJbLNPO Jk H JUO^ Q H YFJkBKhZJUYZYZQR[]O H [ H MeJiexclWMe[]fRJUacuteQZaringN[PJOtilde^e[]Z NPQcOoOumlordf^[OslashQZOslashKfRJZaringJUO HH MeJIacutefRJUPJUf9YJ H ZOslashJ H Me[W^OeY[]fsj H QR[]OYuZtimesjY H centEgraveJgXiacute[]jO^ H [ bLQRhbLjZyUPJUO H Kh[PcentfRJZaringY

uumlnyacutenthornnyumll13YSordmY_FP

s $amp)(+-)013021+345627893lt=gt9A6CBbn[]ZaringQsO[ Xh[]Z H MeJpoundXqNPb HH MN H`H MeJYZQV[]OeJU^ ^QcY H NPObnJumlXqjOb H Qc[]O l QcYaOe[ H NY[]fsj H QR[]O[SX H MeJyiexcl a2 jeEgraveYJLJa []ZOslashJUYNPO^ not NPjF[PJLhNPYe sSsSs jyacuteXiacute[Phiexcl^J H NPQcfcY^5Oaelig[]jehWF[PhY`gte H MJuXiacutejOb H QR[]O l QcYamphZJUQsOQ H QcNPfcQcurrenLJU^TY[ H MN H Q H hZJZaringNPQcOYampNOtilde^QsY H NPObnJXqjOb H QR[]OenYZJLJ5aq jecentEgraveJLh H NPO^gcOtilde[PhdOeKhZ[PcentY H e sSs fJLcenthZJUjFUPJSe sSsSs jOXiacute[Ph^J H NPQcfcY[]O H MJOtildehZJUQcOQ H QsNPfcQVcurrenUN H QR[]O JBjN H QR[]OO^5Oeuml[Ph^eJLh H [QCZOslashKhZ[UPJaringOjFZaringJLhQcbLNPfJltz bLQRJUObmSeOWFJaringbn[]ZOslashKj H J H MeJOslashJjN H QR[]O[]O NIacuteONihhZ[Wcent-NPO^aringJUObLfc[]YZQcO[ H MJiexclfRJUPJUf s [SX H MeJUacutefRJUPJUf-YJ H XqjOb H Qc[]OO^ JUacuteNPfcY[jYZJZtimesjf H QRhZJUYZ[]fcj H QR[]O H JUbdMOQBjeJUYcentmZaringN`BQsO[ H MeJFNPb H QVUPJ(bn[]O H []jh$JUP[]fVUPJcopyhY H[]ONOslashfc[W hZJUYZ[]fcj H QR[]O QZ N[PJS^FMeJordfONPfbn[]O H []jeh[Pcent H NPQcOeJU^Xiacute[Ph H MQcYhJU^jbnJU^QZ N[PJaumlQcY H MeJUOjYJU^ NPYNPOQsOQ H QcNPfEgravebLjehYUPJordfXiacute[Ph H MJOtildehZJUNPfgYZQVcurrenLJaumlQCZaringN[PJS^

EparaacuteAgravegtmicrosup1acuteIKJcedilJT2MgtI MraquowMgtmicrosup1MAgravegtacuteIltacuteMgtPltAtilde iquest acuteAgravegtT2MKIshyAtildeAcirccedilAtildeacuteNicircMgtI cedilAEligMgtmicroOcircacuteOgraveJTCJT13MKI sup2OcircacuteJordfsacuteacuteI Jfrac14ltacutegcedilFLT2cedilIshyROgraveacuteAtilderaquoAMLBqoLacute13AtildeR]cedilsup32acute GmicrobcedilAgraveacuteAtilde5O H MQcYUacuteYJUb H QR[]OOeOWFJOslashKhZ[PKEgrave[]YJaeligY[]ZOslashJOslashhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhY H [YJ[iVZOslashJUO H M[]ZOslash[S[PJUOeJL[]jYiexclhZJ[]QR[]OYiexcl[]Ofrac34[PhZJmBYbLNPfRJIacuteQZ N[PJUY^gtMJUYJIacute^eJUYbnhQRK H [PhYiexclNihZJcentNPYZJU^[]O H MJZaringQcOQZaringQVcurrenUN H QR[]O [SX H MeJU~NihdQcNPObnJUYauml[SX H MJ H WF[`bn[]OYZQc^eJLhZJU^OacutehZJnV[]QR[]OY^ 5O H MJ7YJUbn[]O^ K-Nih H e H MJQZOslashKEgrave[Ph H NPObnJOacute[SX H MeJNP^^Q H QR[]ONPf H JLhZaringYebn[]ZaringQsO[XiacutehZ[]Z H MeJiexclU~NihdQcN H QR[]O [SX H MeJUacute^eJUYZbnhQcK H [PhYWQ H M H MeJiexclJUP[]fUBQcOF[IacutehZJ[]Qc[]OYeQcY9MQV[]MfcQ[]M H JU^O^ G QCZOslashKfRJJkWNSZaringKfRJUY9YMe[W H MeJ0QZOslashKEgrave[Ph H NPObnJ$[SX H MeJUYJ0NP^^Q H QR[]ONPfH JLhlZ Y H [ NPbMQRJUPJ H MeJOtildeJkWKEgraveJUb H JU^aYJ[]ZaringJUO H N H QR[]O^^f^laquoIgraveIcirc=KEgrave(FETHOEacuteltEgraveIcircEcircgtNtildeltIcircIgrave8 EacuteshyOacute ETH9Igravek+NtildeshyEgrave13NtildeshyOacute=KIgraveC0EacuteshyEgraveh4ltEgraveOIgravesup1QIcirc=NtildeltEumlOgraveIgrave2Iacute Ntilde4ltIgraveIcircMJQcO H JUOYZQ H mregXiacute[Phu[PhZJmWYZbLNPfRJaumlQZ N[PJUY(QcYhZJLKhZJUYZJUO H JU^centm NlaquoXqjOb H QR[]OOtilderegaringOgraveOumlOtilde 13ordfcentwntilde Otilde 13laquo^ JaKhZ[PKEgrave[]YJ H [bZaringQcOQZaringQVcurrenLJ H MeJU~NihdQcNPObnJUYOslash[SX H MeJ H WF[bn[]OYZQc^WVJLhZJU^ Me[]Zaring[S[PJUOeJL[]jY hZJ[]Qc[]OY QcO [Ph^eJLh H [YJ[]ZOslashJUO H H MeJZ^uMJXiacute[]fcfR[WQcO[^eJUYbnhQRK H [PhY(NihJaumlYZj[S[PJUY H JU^OaringEFG FH uuml thorn UgraveUacuteUuml yuml aacutecntildeaLuOcentUgraveUacuteUuml juuml thorn times Oslash yuml aacutecntildeaLuOcenttimes Oslash juuml thorn otilde)yuml aacutecb a2Ograve]jWMJLhZJjntildea]jQcYNOslashKEgrave[]YZQ H QVUPJordfXiacutejOb H QR[]O [SX$bLfcNPYZYEacuteograve aOtilde 13yj(NPO^kb`NOslashKEgrave[]YZQ H QUPJaumlbn[]OWVY H NPO H ^MJTbn[]ZOslashKj H N H Qc[]O[SX H MeJUPJUfR[BbLQ H mUPJUb H [PhaumlQcY^JU^jbnJU^tXiacutehZ[]Z H MeJIacutebn[]ZOslashK-j H N~VH QR[]O`[SX H MeJaelig^eJLhQVUiN H QVUPJIacute[SX H MeJtimesbnhdQ H JLhQR[]Opoundocirc7^eJUPJUfR[PKEgraveJU^ QcO G JUb^^ macr^feWMQsbMfRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[aeligJUP[]fcj H Qc[]O JjN H QR[]OOaringaelig Yacuteaagravejaelig agrave aacuteethntildeaLu centtimesOslash j ntildeaLu centUgraveUcircUacuteUuml jb ntilderaquo)aLu centtimesOslash jaaOtilde S timesOslash j cent u centtimesOslash j ntilde raquo aLu centUgraveUcircUacuteUuml jaaOtilde SUgraveUcircUacuteUumlj cent u centUgraveUacuteUuml jIcirc13eacute a2Sj

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ fMJiexclYZQcOF[]fRJiexclK-NihNSZOslashJ H JLhcopyWNtildeJOtildeOeJLJU^ H [aringNP^~ZjY H QcY H MeJUacuteYYZOslash[B[ H MQcO[timesKNihNSZOslashJ H JLhb^5OregXqNPb H e H MeJ X [W ethb MNPY H MeJiexclKhZ[PKEgraveJLh H QRJUYNtilde[SXYYZOslash[B[ H MQcOF[IacutecentEgraveJUbLNPjYJOtildeQ H ZOslash[UPJUYH MeJUacutebLjehYUPJUacuteQcO H MeJUacute^QRhZJUb H QR[]O [SX9Q H YfRJUOF[ H MregXqjOb H QR[]ONPfQa G Qs^^QBQeJ H NPfd^VeOfhShS]j^^ ^~IacuteEacuteltEgraveETHOgraveNtildeltOacute=KIgravefrac34Eacute10frac34ETH9Igrave Ntilde8182ETHEacuteshyOacuteNtildeshyEumlETHIgraveFEgraveOIacute5Icirc5O[Ph^JLh H [7JU~NPfcjN H J H MeJ QZOslashKEgrave[Ph H NPObnJ`[SX H MeJ`NP^^Q H QR[]ONPf H JLhlZaringYX[Ph H MeJYJ[]ZaringJUO H N H QR[]OeuWNtildeJpoundZaringN`PJ H MJeumlNPb H QUPJbn[]O H []jehaJUP[]fVUPJ H MehZ[]j[]M H MJ iexcla2SjeQsObLfcj^QsO[ H MeJaumlNP^^Q H QR[]ONPf H JLhlZaringY^ q O H MeJUacute[ H MeJLhMNPO^OeWNtildeJaumlNPfcYZ[ZaringN`PJQ H JUP[]fUPJfrac34WQ H M H MeJwXiacute[]fcfR[WQcO[ WhZ[]OF[JUP[]fcj H QR[]OJjN H Qc[]O H MN H ^e[JUY Oe[ HQcObLfcj^eJ H MeJaumlNP^^Q H QR[]ONPf H JLhlZaringYaringaelig Yacuteaagravejaelig agrave aacuteethntildeaLu centtimesOslash j ntildeaLu centUgraveUcircUacuteUuml j`b Qeacute iuml a2Ogravemacr]jnot [Ph H MeJOtildeJkWKEgraveJLhQZOslashJUO H YeWFJ H N`PJntildeaOgravejOcircaacute ILK KafcediliexclOgravejWMQsbM[]QVUPJUYntilde raquo aOgravejaacutefdOafcedil]j(NPO^ H MeJgUiNPfcjeJOtilde[SX H MeJaumlKNihdNSZOslashJ H JLhEacutebaQcY(YJ HH [frac34f s ^OcirckBKEgraveJLhQCZOslashJUO H Y NihZJ KEgraveJLhYX[PhZOslashJU^ []O NYmWO H MJ H Qcb`QCZaringN[PJumlZaringNP^eJeumljeK [SXTNPO

Me[]Zaring[S[PJUOeJL[]jYYYBjNihZJ[SX9QcO H JUOYZQ H mwf s []O NIacutecentNPbl`[PhZ[]jO^ [SX9QcO H JUOYZQ H mtf s ^ []NPjYZYZQsNPOOe[]QcYJUacute[SXUiNihQcNPObnJ s QcY(NP^^eJU^ H [ H MQcY(YmWO H MJ H QcbOtildeQZaringN[PJS^MeJOtildeJUP[]fcj H QR[]Oa[SX H MeJTNPb H QVUPJtimesbn[]O H []jehUacute^ehQUPJUOcentmpounda2SjQcYu[]QVUPJUO`QcO not QV[^ WMQcfRJ H MeJ[]OeJ`[Pcent H NPQcOeJU^ jYZQcO[ a2Ogravemacr]j QcYordm[]QUPJUO QcO not QV[^ ^ J bLNPO hZJZaringNihY`H MN H WMeJUO H MeJoiexclQsObLfcj^eJUY H MJ NP^^Q H QR[]ONPf H JLhZaringYe H MJ YYBjNihZJ QcYgWFJUfcfYJ[]ZaringJUO H JU^acirca not QV[^ ^bjeuWMeJLhJUNPYWiexclMeJUO H MeJ |iexclD^e[BJUY Oe[ H QsObLfcj^eJ H MeJUYJNP^^Q H QR[]ONPf H JLhZaringYwWFJ7[Pcent H NPQcO N bLQRhbLfcJOacuteQcOY H JUNP^ [SX H MeJ7JkBKEgraveJUb H JU^YYBjNihZJa not QV[^ ^bj^MeJUYJhZJUYZjf H YNtildebLNPOcentEgraveJcentEgraveJ HH JLh(jO^eJLhY H [[W^WMQcfRJNPONPfmcurrenUQcOF[ H MeJiexclUPJUfR[WbLQ H mUPJUb H [PhYUacute[SXNtildeJUNPbMJUP[]fsj H QR[]O JjN H QR[]OO^ Jaringbn[]ZOslashKNihZJ H MeJ H WF[ JUP[]fcj H QR[]OYiexcl[SXH MeJlaquoUPJUfR[WbLQ H mwUPJUb H [PhYauml^jehQcO[ H MeJaeligKhZ[PKN[]N H Qc[]Oeuml[SX H MeJOslashbLjehYUPJwa2WiexclQ H Me[]j HH MeJcentEgrave[]jO^NihYmVcent-NPYJU^ H JLhlZb j^MeJ(JUP[]fcj H Qc[]OOslash[SX H MeJNSZOslashKfsQ H j^eJ[SX H MeJyacuteUPJUfR[Wb|VQ H mregUPJUb H [Ph[SXQ|iexcla2SjFQsY[]QUPJUO QcO not Q[aqYj^ ^ ^OecurrenJSe Xfrac34]eWMQsfRJ H MeJOtildeNSZOslashK-fcQ H j^eJ[SX H MeJUPJUfR[WbLQ H mwUPJUb H [PhOtilde[SX||iexclacirca2Ogravemacr]jiexclQcY []QUPJUO`QcO not QV[aqYj^ ^ ^OecurrenJSe Xfrac34]^ JOslashbLNPO[PcentYZJLhYUPJ H MN HaringH MeJUPJUfc[BbLQ H msup1WiexclQ H Me[]j HaeligH MeJNP^^Q H QR[]ONPf H JLhlZaringY QcYaeligNbn[]OY H NPO HWMJLhZJ [PcentUWQR[]jYfVm H MJaQZaringN[PJfrac34XJUN H jehJUY ^e[OacuteO[ H NiKKEgraveJUNih^ q O H MeJabn[]O H hNihYmH MeJaumlQCZaringN[PJordfXJUN H jhZJUYuWFJUfcfNiKKEgraveJUNihQcO H MeJordfUPJUfR[WbLQ H m QcObLfcj^QcOF[ H MeJaumlNP^^Q H QR[]ONPfH JLhlZ Yya not QV[aqYj^ ^ ^OecurrenJSe Xfrac34jiexclNPO^ Y[ H MeJaumlYljNihJTbLNPO centEgraveJordfWNtildeJUfsfYJ[]ZOslashJUO H JU^O^MeJyKhZJUWQR[]jYEgravehJUYZjf H YgYMe[W H MN H Q H QcY[SXeKhQCZOslashJ$OeJUbnJUYZYZQ H m H [ H N`PJQcO H [NPb|Vbn[]jO H0H MJNP^^Q H QR[]ONPf H JLhZaringYeWbn[]ZaringQcO[XhZ[]Z hZJ[]QR[]OeV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhYeQcO[Phd^eJLh H [ hZJUNPbdMaN H hdjeJgZaringQcOQCZIacutejFZ [SX H MeJaumlbnhQ H JLhdQR[]OO^

uumlnyacutenthornnyumll13YSordmY_F

S $amp)(+-)013021+345627893lt=gt9A6CBEIumlparaacuteAgravegtmicrosup1acuteIKJcedilJT2MgtI MraquoordfAEligMgtsup32MLwMKmicrobMgtAgraveacuteIshyacuteMgtPltAtilde iquest acuteAgraveKT13MKIshyAtildeAcirclaquocedilFAtildeacuteNicircMKIJfrac14ltacutepoundAEligMAringcedilFLT2cedilIltR]acuteHcedilJLTOcircfrac12sup3T13ROgravecedilJT2MgtI JMAgraverltcedilFR]acuteacuteJacuteR]JT2MgtIicircT2ItT2NQacuteM paraacutePshyacuteIltR]acuteAtildeMQcY0K-Nih H ^eJUNPfcYWQ H M H MeJOtildeYJ[]ZOslashJUO H N H QR[]O [SXMe[]ZOslash[S[PJUOeJL[]jY(hZJ[]QR[]OYQcOZtimesjfuVH QcYZK=JUb H hdNPfQZaringN[PJUY^ YNPOaJkWNSZaringKfRJSeWFJIacuteYZMe[W H MN HiexclH MeJTbn[UiNihQcNPObnJZaringN H hQVkbLNPOacent=JIacuteNUPJLhYm KEgrave[WFJLhYXqjf H [B[]f H [ YJ[]ZOslashJUO H Me[]Zaring[S[PJUOeJL[]jYbn[]fR[PhiexclhJ[]QR[]OY^F5OXqNPb H e H MeJtimes^eJ H JLhlZaringQsONPO H [SX H MeJTbn[U~NihQsNPObnJZ N H hQkKhZ[UPJUY H [ centEgraveJIacuteNaringhJUfRJU~NPO Hbn[]fR[PhaelighZJ[]Qc[]O7M[]ZOslash[S[PJUOeJUQ H msup1ZOslashJUNPYZjhZJZOslashJUO H a G NPO[SWQcOeJ NPO^r[PhdOeJSeufhShSi]j^_`QcOQZ QVcurrenUQcO[ H MQcYjNPO H Q H m ZOslashJUNPOY H MN H WFJwWNPO HH [^eJUbnhZJUNPYJ H MeJeumlbn[]ZaeligVKfcJkWQ H m[SXUacuteNeumlhZJ[]QR[]Oa hdNmJ H NPfd^Ve sSs fampN H JUjke sSsSs j^MQcY H [B[]fuZaringNmKhdNPb H QcbLNPfcfVm cent=JaumljYJU^X[Ph XiacuteNPbnJtimes^eJ H JUb H QR[]OaQsO QZaringN[PJaumlYJBjeJUObnJUY^macr^f^laquoIgraveIcirc=KEgrave(FETHOEacuteltEgraveIcircEcircgtNtildeltIcircIgrave8 EacuteshyOacute ETH9IgraveAgrave=Eacute3+NtildeshyEgrave13NtildeshyOacute=KIgravefrac34Iacute_NtildeFETHEgraveEcirc20EacuteshyEgrave=EacuteshyEumlEacuteshyEgrave2Iacute Ntilde4ltIgraveIcircMJQcO H JUOYZQ H mxXiacute[Ph bn[]fR[Ph QCZaringN[PJUYaringQcYOslashhJLKhZJUYJUO H JU^centm7NpoundXiacutejOb H QR[]OOtildeegravearingOumlOtilde 13ordfcent ntilde Otilde 13 WMeJLhZJ Otilde aacute Otilde szligYOtildeOgravecentszligYOtilde13ordf ^iexclXm NPONPfR[S[SmAumlWQ H M H MeJOacuteY H j^Fm Xiacute[Ph[PhZJmWYZbLNPfRJFQZaringN[PJUYeWNtildeJZaringQcOQCZaringQVcurrenLJ H MeJNtilde^J H JLhlZaringQcONPO H [SX H MeJFbn[UiNihQcNPObnJcopyZaringN H hQVk[SX H MeJTbn[]OYQc^eJLhZJU^hZJ[]Qc[]OY^ J5ZaringNmaringNPYYZjFZOslashJ H MN H JUNPbdM bn[]fR[PhFhZJ[]QR[]Oacute13 QsYOcircZOslash[W^eJUfcfRJU^OslashcentmOslashNg[]NPjYYZQcNPO^QsY H hQRcentj H QR[]Oeuml[SXyacuteZOslashJUNPOiexclSegraveaacute S szligPS cent szligPS NPO^7bn[UiNihQcNPObnJZ N H hQk5^MeJKh[PcentNicentQcfcQ H maring^eJUOYQ H moXiacutejOb H QR[]O QcYu[]QUPJUO centm H MeJgXiacute[]fcfR[WQcO[aeligJkWKhZJUYZYQR[]OOaring

$ampamp aOtildejOcircaacute fa )( j +cent aq^J H ayacutejj cent JkWK- f aOtilde Sltj thorn aOtilde Sltj a2Ograve]jG [eZaringQcOQZaringQVcurrenUQcOF[ H MJbn[U~NihdQcNPObnJuZaringN H hQktimes^eJ H JLhlZaringQcONPO H [SX-NPOtimesJUP[]fVUWQcO[hJ[]QR[]ONiKKEgraveJUNihY H [OslashcentEgraveJNtimeshZJUfcJU~NPO HH [[]f H [ordmZaringN`PJ H MQcYFhZJ[]Qc[]O bn[]OUPJLhY[PJ H [WFNih^Y H MeJbLfR[]YZJUY H Me[]ZOslash[S[PJUOeJL[]jYbn[]fR[PhiexclhZJ[]QR[]OO^9J H jY$Oe[ H J timesOslash NPO^0copyUgraveUcircUacuteUuml H MJbn[UiNihQcNPObnJ5ZaringN H hQcbnJUYy[SX=hJUYKEgraveJUb H QVUPJUfVmordmOuml timesOslash aagravejNPO^tOuml UgraveUacuteUuml aagravejaring

atilde aacute213 u Patilde u centatilde u atildeu cent atilde u centcentatilde u cent4atildeu5 atilde u5centatilde u54atilde67 a2zSj

WMJLhZJSaringEFFG FFH u times aumlatilde aacute iacutefaring w aring thorn yuml aOtilde times S times atilde jaOtilde auml S auml atilde j atilde aumlS times atilde aacute iacutefaring w aring thorn yuml Otilde times a2atildeltszligaumlj atilde auml WQ H M aacuteiVIgraveOacute[Ph Kf5

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ J [PcentUWQR[]jYZfm`MNUPJacuteu times aumlatilde aacuteu auml timesatilde ^shy9J H jYaumlO[ H J ^eJ H a atilde j H MJ ^eJ H JLhlZaringQsONPO H [SXH MeJaumlbn[U~NihdQcNPObnJZ N H hQkWiexclMQcbMJkBKhJUYZYZQR[]O QcY H MJgX[]fsfR[WQsO[aring

^eJ H a atilde jumlaacute u Patilde u centcentatilde u 4atilde u centatilde u atilde u cent4atilde u Patilde u cent4atilde u cent4atilde u centcentatilde u atilde u atilde u 4atilde u centatilde u centatilde a2Ogravei]jnot jOb H QR[]OY [SX H MeJeumlbn[UiNihQcNPObnJpoundZaringN H hQk ^eJ H JLhZaringQcONPO H YNihZJ jYJU^ NPY hJ[]QR[]O^eJUYbnhQRK H [PhY^ JIacutebMe[B[]YJ H MJordfX[]fcfc[WQcOF[aeligYZJ H [SX$^eJUYZbnhQRK H [PhYaringEFG FH uuml thorn UgraveUcircUacuteUuml yuml aacute98ordfaq^eJ H acopyUgraveUcircUacuteUumlAjjuuml thorn timesOslash yuml aacute98ordfaq^eJ H a timesOslash jjuuml thorn otilde)yuml aacuteOslashb a2Ograveh]jWMJLhZJ8ordfaOgravejFQcYNOslashKEgrave[]YZQ H QVUPJiexclXiacutejOb H QR[]O [SXampbLfcNPYZYograve aOtilde 13yjFNPO^Cb`NOslashKEgrave[]YZQ H QVUPJOtildebn[]OWVY H NPO H ^gJ H jYNtildeOe[W WhQ H J H MeJJUP[]fcj H Qc[]OaringJBjN H QR[]O [SX H MeJiexclNPb H QUPJbn[]O H []jehcentmbn[]ZOslashK-j H QcO[ H MJIacute^QEgraveJLhZJUO HH JLhlZaringYiexcl[SX_a j^J H NPQcfcYiexcl[SX H MeJIacutebn[]ZaringKj H N H QR[]O bLNPOcentEgraveJgXiacute[]jO^QsOaNiKKEgraveJUO^QVk X5^gtMJaumlJUP[]fcj H QR[]O`JBjN H QR[]O[SX H MJIacuteNPb H QVUPJaeligbn[]O H []jhQcY H MJgX[]fsfR[WQsO[aringaelig Yacuteaagravejaelig agrave aacute8gaq^eJ H atimesOslashjj 8ordfaq^eJ H a UgraveUcircUacuteUuml jj`b admacr s jlt8Icircraquodaq^eJ H a times Oslash jgt= ccedil A B egrave aOtilde S timesOslash jaOtilde B5 S BtimesOslash jB^eJ H aDC EBtimesOslash ja fj BGFH amp^eJ H atimesOslashj48 raquo aq^eJ H atimesOslashjj 8Icircraquodaq^eJ H a UgraveUacuteUuml jgt= ccedil I B egrave aOtilde Eacute S UgraveUcircUacuteUuml jaOtilde B S BUgraveUcircUacuteUuml jB^eJ H aDC JBUgraveUacuteUuml ja fj BKFH amp^eJ H a UgraveUcircUacuteUuml j48 raquo aq^eJ H a UgraveUcircUacuteUuml jjcedil13eacuteMJZaringN H hdQkLC JBatilde QsY ^JU^jbnJU^icircXh[]Z H MJeumlbn[U~NihdQcNPObnJbZaringN H hdQkM atilde centm YZjeKeVKhJUYZYZQcO[ H MeJ uuml UumlON hZ[WENPO^ H MeJ I UumlON bn[]fcjFZaringO^MeJeumlfcNPY H Xiacute[]jeh fsQcOeJUY [SX H MeJJBjN H QR[]ONihZJ H MeJOtildeNP^^Q H QR[]ONPf H JLhZaringY(bn[]ZaringQcO[XiacutehZ[]Z H MeJiexclU~NihQsN H QR[]O [SX H MeJOtilde^eJnVYZbnhdQRK H [PhYWiexclQ H Mordmagrave^ Y0Q H MNPYycentEgraveJLJUOOslashKhJUBQR[]jYZfVmTKhZ[UPJU^X[Ph[PhZJmWYZbLNPfRJiexclQCZaringN[PJUYeH MeJUYZJ H JLhlZaringYMNUPJ H [ cent=Jaumlbn[]OYZQc^eJLhZJU^ QsO[Ph^eJLh H [regZ N`PJ H MeJTNPb H QUPJTbn[]O H []jhbn[]OUPJLhY[PJ H [WFNihd^YNZ QcOQZtimesjFZ [SX H MJTbnhQ H JLhQc[]OO^macr^ ^~THORNUgrave2FIgraveFEgrave2Iacute_IgraveFOacuteshyETHOgraveNtildeshyEumlEgraveOIgraveIcircdEumlETHOIcircnot [Ph H MJ JkWKEgraveJLhQZOslashJUO H YeQWNtildeJ H N`PJCntildea]jordmaacute ILK Kaf[]jgWMQsbMsup1[]QVUPJUYnntilde raquo aOgravejaacutefdOafWOgravej(NPO^8ordfaOgravejaacute ILK KafIcirch cent juWMQcbdMt[]QVUPJUY8 raquo aOgravejaacute ETHOafIcirch cent j^ JbdMe[[]YZJ bbaacute f s ^QMeJaringbn[]fR[PhtimesYKNPbnJ YJUfcJUb H JU^QcYaQPszlig l szligicirclaquojeltWMeJLhZJwaOtilde aacuteRPordmjhZJLKhZJUYJUO H Y H MeJfsjFZaringQcONPObnJNPO^waOtildeOgravecent5aacute l j$NPO^frac34aOtildeS aacuteOslashicircj$hZJLKhZJUYJUO HyH MeJ H WF[bdMehZ[]ZaringQcONPObnJUY^ not [Ph H MeJbn[]ZaringKj H N H QR[]OOslash[SX H MeJuUiNihQcNPObnJSei[]Ofm H MeJfcjZaringQcONPObnJQcY(jYJU^O^

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CB5Oaring[Phd^eJLh H [aeligYJ[]ZOslashJUO H NPO Me[]ZOslash[S[PJUOJL[]jY0hJ[]QR[]OOeOgraveWFJiexclY H Nih H WQ H M NPO QcOQ H QcNPf

bLjehlUPJ0QcOYZQs^eJ H MJ0hZJ[]QR[]Oauml[SXWQsO H JLhZJUY H ^MeJybLjhYUPJ0QcY H MJUOTYZjeKK=[]YZJU^ H [JkWKNPO^jO H Qcf(Q H hJUNPbMeJUY H MeJ centEgrave[]jO^NihlmOacute[SX H MeJabn[]ObnJLhdOeJU^ Me[]Zaring[S[PJUOeJL[]jYaringhJ[]QR[]OO^MJtimesbLjehlUPJtimes^e[BJUYUacuteOe[ H [P[cent=JmP[]O^ H MJUYJaeligcent=[]jO^NihQRJUYiexclYZQcObnJSe=[UPJLh H MeJLhZJSe H MeJbnhQ H JLhQR[]OOacuteQsObnhZJUNPYJUYtimescentEgraveJUbLNPjYJ H MeJU~NihdQcNPObnJOcircu centtimesOslash [Ph H MeJ bn[U~NihdQcNPObnJtZaringN H hQVk^eJ H JLhZaringQcONPO H ^eJ H atimesOslashjUcirccentOtildeQsObnhZJUNPYJS^MeJaringNPfV[P[PhQ H MZEcentNPYJU^[]O H MeJ bn[UiNihQcNPObnJZaringN H hQVkeumlQcYaumlK=JLhlX[PhlZaringJU^euml[]ONPOQZ N[PJ [SX H MeJUBQs^eJL[`YJBjeJUObnJrnN`WQVmP[]peumlQcO[Ph^JLh H [euml^eJ H JUb HaeligH MeJYKEgraveJUN`PJLhUTYXqNPbnJS^gtMJaumlJUP[]fcj H QR[]O[SX H MJIacutebLjehYUPJIacuteQcYu[]QVUPJUO QcO not QV[^ macr^gtMeJTbn[]O H []jehiexclJUP[]fUPJUYH [ONPfcfVmbn[]OUPJLhY[PJaelig[]O H MeJIacutecent=[]jO^NihQRJUY[SX H MJyXqNPbnJa not QV[^ macr^bj^OMeJyXiacuteNPbnJaeligQcYH MeJUONPbLbLjehdN H JUfVm YZJ[]ZOslashJUO H JU^^FMeJUacuteNSZOslashKfcQ H j^eJ[SX H MeJiexclUPJUfR[BbLQ H m QsYFNPfsY[laquo[]QVUPJUOQcO not QV[aqYj^ macr^ ^OecurrenJSe Xfrac34jNPO^WNtildeJUacutebLNPO [PcentYJLhYUPJ H MN HFH MeJ5XiacuteNPbnJUacutehZJ[]QR[]O QcYUPJLhYmWFJUfcf^eJUfsQZaringQ H JU^regXhZ[]Z H MJ[ H MJLhhZJ[]QR[]OY^MJ5UPJUfc[BbLQ H m[]QUPJUO QcO not QV[aqYj^ macr^ ^OecurrenJSe XQcObLfcj^eJUY H MeJNP^^Q H Qc[]ONPf H JLhlZaringYFbn[]ZaringQcOF[yXiacutehZ[]Z H MeJ5UiNihQcN H QR[]O [SX H MeJiexcl^eJUYbnhQRKeVH [PhY5WQ H Magrave`centj H ^e[BJUYOtildeOe[ H QcObLfcj^eJ H MeJaeligcentEgrave[]jO^NihlmVcentNPYZJU^ H JLhlZ WMQcbMeumlQcYUacuteNYYZaring[[ H MQsO[ H JLhlZ^KMeJtimesNSZOslashKfcQ H j^eJOtilde[SX H MeJyUPJUfc[BbLQ H maQcYiexclOe[PhlZaringNPfcQcurrenLJU^ centEgraveJ H WFJLJUOs NPO^ macrSmacre$YZjbdM H MN HTH MeJ OeJ[]N H QVUPJoU~NPfcjJUYIacuteNihZJ fR[WFJLh H MNPO f i`NPO^ H MeJKEgrave[]YZQ H QUPJ[]OJUYNihZJTMQ[]MeJLh H MNPOpoundf i^ J bLNPObn[]ZaringKNihZJ H MJ QcOQ H QsNPfUPJUfR[BbLQ H m[Pcent H NPQcOJU^jYZQcOF[ H MeJ bn[U~NihQsNPObnJZaringN H hdQk admacr s juWQ H M H MeJOtilde[]OeJOtilde[Pcent H NPQcOeJU^jYQcO[ H MeJordfUiNihQcNPObnJrega2Sj^KMeJordfXqNPbnJTQcYOe[ H WNtildeJUfsf9^eJ H JUb H JU^QcO H MeJUPJUfR[BbLQ H m[Pcent H NPQsOeJU^ajYQcO[ H MeJUiNihQcNPObnJa not Q[^ ^bjWMJLhZJUNPYIacuteQ H QcYIacutehZJUNPfcfmumlWNtildeJUfcfF^eJ H JUb H JU^QsO H MeJQcOQ H QcNPfUPJUfR[WbLQ H m7jYZQcOF[ H MeJbn[iVUiNihQcNPObnJpoundZ N H hQk a not QV[^ ^currencentj^_MeJ UPJUfR[WbLQ H m [Pcent H NPQcOeJU^ jYZQsO[ H MeJumlU~NihdQcNPObnJ^e[BJUYOe[ H NPfsfR[W NPOJltz bLQRJUO H YJ[]ZOslashJUO H N H QR[]O`[SX H MeJyXiacuteNPbnJauml[]O H MeJaumlbn[]O H hNihYm H [H MeJIacutebn[UiNihQcNPObnJlaquoZaringN H hQk^eJ H JLhZaringQcONPO H WMQsbM H N`PJUYUacuteNP^UiNPO H N[PJaelig[SX H MeJtimesbn[]fR[PhQcOFX[PhlZ N H QR[]OO^macr^ ^WVFEumlETH=gtNtildeFETH32EacuteltOacuterETHEacute`0Ntilde=KIgravek8ltIgraveFETHIgrave5=KETH32EacuteltOacute~2Oacute+(8ltIgraveEacute IcircIgrave5euml1IgraveFOacute=KIgraveIcircMJa^eJUYZbnhQcK H [PhYOslashcentNPYZJU^[]O H MJ`bn[UiNihQcNPObnJZaringN H hdQkNihJ`QZOslashK-fRJZOslashJUO H JU^ H [^eJ H JUb H MBjFZaringNPO XqNPbnJUYQcO UWQc^eJL[OacuteYJBjeJUObnJUY^MQsYaring^eJ H JUb H QR[]OegraveZaringNm cent=J`jYJU^Xiacute[PhtUWQc^eJL[ bn[B^QcO[ H [JUObn[W^eJYJUfcJUb H QVUPJUfVm H MeJOacuteMBjFZaringNPOegraveXqNPbnJS^ not [Ph`N []QVUPJUObn[]ZOslashKhZJUYZYZQR[]OOacutehN H QR[e H MeJoXiacuteNPbnJbLNPO7cent=J H hNPOYYZ Q HH JU^bWiexclQ H MN MQV[]MJLhThN H J H [H MeJ^eJ H hdQZOslashJUO H [SX H MeJcentNPbl`[Ph[]jO^O^uMQsY QsO H JLhZJUY H QcO[KhZ[PKEgraveJLh H m QcYUiNPfcjWVNicentfcJuX[PhUBQc^JL[Bbn[]OXiacuteJLhZJUObnJUYe]WMeJLhZJ H MeJ ZOslash[]Y H QZOslashKEgrave[Ph H NPO H NPO^regZOslash[]Y H U~NihdQcNicentfRJQcOFX[PhlZ N H QR[]OQcYfR[WbLN H JU^ []O H MJordfXiacuteNPbnJaq 5ZOslash[]Oe[]j`NPO^tUacutejMNSZaringJUfde sSsSs j^ J QcOQ H QcNPfcQVcurrenLJ H MJhdY H XiacutehNSZOslashJoWQ H M7N`bLQchbLfRJ QsOYZQc^eJ H MeJXqNPbnJ H [ H hNPbY`K^MJUOOeyacuteWFJsup1ZaringN`PJ H MeJNPb H QVUPJ7bn[]O H []jeheumlJUP[]fVUPJjYZQcOF[admacr s jeiexclWQ H MX8ordfaOgravejxaacuteILK KafUgravemiddot cent j^ltMeJregONPfybn[]O H []jehtimes[SX H MeJ bLjehZhJUO H QZaringN[PJ QcY H MeJUOOacutebdMe[]YJUO7NPYNPO QcOQ H QcNPfbLjhYUPJordfX[Ph H MJUacuteOJk H QZaringN[PJS^FMeJOtildeNPfV[P[PhQ H MFZMNPYcentEgraveJLJUOKEgraveJLhYXiacute[PhlZOslashJU^[]OYJUPJLhdNPf$YJjJUObnJUY^MeJaelighZJUYjf H Y5X[Ph H MJaeligYZJjeJUObnJpoundn5JLhQV`p NihJordm[]QVUPJUOQcOnot QV[^ethz^shyMeJaringKNihNSZaringJ H hZJ bMNPYaumlcentEgraveJLJUOYZJ HaumlH [sup1f s ^QMeJordmXqNPbnJ QcYordfWFJUfcfy^J H JUb H JU^NPO^ H hNPbY`PJU^times[]O H MJ|WMe[]fcJyYJjJUObnJS^MJyhZJUYZjf H YOX[Ph H MeJNtildeYZJjeJUObnJnN`WQVmP[]p

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ macrNihZJy[]QVUPJUO`QsO not QV[^ i^ JaeligbMe[B[]YJbaacute s ^ JtimesbLNPO`YJLJ H MN HH MeJXiacuteNPbnJaeligQcYuWFJUfcf^eJ H JUb H JU^aJUPJUOaQVX H MeJaumlbn[]fR[Phiexcl[SXMJLhYZMQRh H QsY(bLfR[]YJ H [ H MJgXiacuteNPbnJIacutebn[]fR[Ph^

YOEAEligMgtIltROgravesup3PshyAtildeT13MKI5O H MQcYKNiKEgraveJLheuWNtildeJKhZ[PKEgrave[]YJN OeJW 0jfRJLhQcNPOAumlZaringQsOQZaringQVcurrenUN H Qc[]OAumlZOslashJ H Me[W^ H [bn[]ZOslashK-j H J H MJUPJUfR[WbLQ H mpoundUPJUb H [Pharing[SXNPONPb H QVUPJ bn[]O H []jeh H MN H JUOYZjehZJUYtimesQ H WQcfcfJUP[]fVUPJ NPYordfXiacuteNPY H NPYOtildeKEgrave[]YZYZQRcentfcJ H [WNih^YIacuteNZaringQcOQCZIacutejFZ [SXN bnhQ H JLhQR[]OeumlQcObLfcj^QcOF[centEgrave[ H MUacutehZJ[]QR[]OeVcentNPYJU^TNPO^OtildecentEgrave[]jO^NihYmVcentNPYJU^ H JLhlZ Y^ q jehgNiKKhZ[]NPbMIacuteQcYcentNPYZJU^Otilde[]OYZMNiK=J[PK H QZaringQVcurrenUN H Qc[]OOslashKhQcObLQRKfRJUY$NPO^ QcYyKEgraveJLhYXiacute[PhlZOslashJU^ QcO H MehZJLJ5ZaringNPQcO Y H JLKYaringf^ltO H hZ[W^jb H QR[]O[SX$NOslash^mWONSZaringQcbLNPfYbMeJZOslashJIacuteQcO H MeJTbnhQ H JLhQR[]OOe ^vF[]ZOslashKj H N H Qc[]Oaelig[SX H MeJ_0jfRJLhdQcNPOaelig^eJLhQVUiN H QVUPJ[SX H MJbnhQ H JLhQR[]OOslashjYZQcO[OtildeYZMNiKEgraveJ

[PK H QZaringQVcurrenUN H Qc[]O H [[]fcYe^vF[]ZOslashKj H N H Qc[]Oa[SX H MeJtimesJUP[]fcj H Qc[]OaJBjN H QR[]O`[SX H MeJaeligNPb H QVUPJtimesbn[]O H []jehiexclXiacutehZ[]ZH MeJT^eJLhQU~N H QVUPJS^

iexcl Ntilde _ cent G NPfcfR[WY H [hJUNP^QcfVm H N`PJNtildeQcO H [NPbLbn[]jO H9H MeJybLNPYJ0[SXBhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H^eJUYbnhQRK H [PhY H MN H NihZJo[]fR[PcentNPfcfVmN HH NPbdMeJU^ H [ H MeJ JUP[]fVUWQcO[ hZJ[]QR[]OYtimesNPO^Y[H MN H UiNihYm^jehQsO[ H MJaumlKhZ[PKN[]N H Qc[]O [SX H MJaumlbLjehYUPJS^ JTYMe[W H MN HH MeJgUiNihQuVN H QR[]O [SX H MeJUYJ^JUYZbnhQRK H [PhdY QsO^jbnJUYNP^^Q H QR[]ONPf H JLhlZaringYQcO H MeJeumlJUP[]fcj H QR[]OJBjN H QR[]Oeuml[SX H MeJaringNPb H QVUPJ bn[]O H []jeh^MJUYJ H JLhlZaringYgZtimesjY H Oe[ H centEgraveJlaquoX[Phl[P[ HH JUOQcO[Ph^JLh H [ hZJUNPbMeumlN H hjeJZ QcOQZtimesjFZ[SX H MeJtimesbnhQ H JLhQc[]OaNPYUacuteQ H MNPYcentEgraveJLJUOKEgrave[]QcO H JU^[]j H QsOJkBKEgraveJLhQZaringJUO H NPfEgravehZJUYjf H Y^

Yfrac34XiacuteNiheumlNPYeumlMe[]ZOslash[S[PJUOeJL[]jYeumlbn[]fR[PheumlhZJ[]Qc[]OY`YZJ[]ZOslashJUO H N H Qc[]OQsY`bn[]ObnJLhdOeJU^OeWFJKhZ[PKEgrave[]YJ H MeJ`bn[U~NihQsNPObnJfrac34ZaringN H hdQk^eJ H JLhlZaringQcONPO H NPY N^eJUYbnhQRK H [Ph^MQcYY H N H QsY H QcbLNPfhZJ[]QR[]OeV4^eJLKEgraveJUO^eJUO H ^JUYZbnhQRK H [PharingNiKK=JUNihdY H [centEgraveJN UPJLhlm7hJUfRJU~NPO HH [B[]fampNPO^eumlY[ Q H MNPYUacutecent=JLJUOeumlYZjbLbnJUYZYXqjfcfVm NiKKfsQRJU^ H [XqNPbnJaring^eJ H JUb H QR[]OQcOfrac34UWQc^eJL[YJBjeJUObnJUY^

iquest acuteraquoacuteLacuteIltR]acuteAtildeagraveIgravefrac14dEcircsup1Atilde5AringiquestLmiddotNtildeIumliquestUumlgIumlUTHORNampAtildeEacutecedilAtilde5AringAcircnAtilde|iquestaacuteIacuteIumlIZEgravefrac14Zcedilfrac12frac14dAringiEcirc]iquestfrac14draquoiEcirc[NtildeIumlagraveAringEacutePAtildecedilwAacute4] uacute_^J^J^ iquest)` igraveraquoLCcedilfrac14cedil4Ecircfrac14draquo~Ecirc(Auml|AringAacuteCcedilfrac14Zcedil4Ecirc

Agrave5AringcedilAcircnAtilde$AtildeAcircnAuml|frac12AringAacutesup1AumldraquoTAringAEligwsup1raquo~ordm(frac12Atilde5AcircnAtilde5frac12AEligwAtildeAacuteampIgrave(Atilde AacuteIcirc~AumlUEcircSaIumligraveraquo13] x4~rv p4PldrRtcoPl|Egraveod5v pv i4vodaumlx4shyl not vsectpqo v tu not Iumlcb$Auml|EacutePAtilde|iquestednfrac14Oumlifrac14draquoIuml

agraveIgrave(Aumldraquo~Auml|Aringiquest~igrave4IumlPfrac14raquoiEcircfWIumliTHORNampAringIcircifrac14Igrave(Atilde5frac12G] divideugrave|ugrave|ugrave iquest` igraveAacuteAtildecedil4frac14ZAacutesup1Acirc|AtildeNtildeEacute~frac14dAgrave4UgraveUCcedilEgravefrac14cedil4EcircUacuteAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoUacuteOgraveregAumldcedilIcirc~sup1Atildecedil4frac14cedilAgrave4Icirc~sup1currenEumlAgravefrac14dfrac12=CcedilEgravefrac14AcircnAtilde5frac12AtildeAacutesup1Igravefrac14ordm|AtildeAgrave5AumlUEcircsup1raquo~ordmIaIumlaeligigraveiacuteraquoS] x4rv p ildrRtcodil|ampod5v pv P4vOtildeodOslashx4shy(l not vFsectpqo v tu not Iumlg frac14raquo~Agrave5AumldAring~AcircnAtildecediliquestehEgravefrac14raquoifrac14|Ecircfrac14Iuml

agraveAringEacutePAtildecedilwAacuteiquest[NtildeIumlWfrac14raquoiEcircifWIuml13b$Aumldcedilraquo~OumlcedilAuml|EacuteAEligqAacute4] divideugrave|ugraveuacute iquestkj ldrregv shy(ldrRtcl|ipwonm5v shyNtildetuOslashtushyl not vampipwo4v tu not sect9ldp4rRtcl|Egravedt lv pv ~rRtRl|9vDm~lrRtcod~ldiTrreg~vUacutel| Uiexcloqnldp4tcldrRtRod~ iquestpoAumlIuml uacute_qEr IumlOslashagrave9Ouml~Oumlfrac12sup1AtildeEcircaacuteUacutefrac14AacuteIcirc~AtildeIgravefrac14Aacutesup1Agravefrac14dfrac12BatildeAgravesup1Atilderaquo~Agrave5Atilde5AElig5iquestPatildeOumlcedilsup1raquoordm|Atildecedil g Atildecedilfrac12frac14dordmIumlhEgravefrac14dAEligwAtilde5frac12frac12Atilde5AElig5iquest g Iumliquest~szlig0Iumleb$sup1Igrave(Igrave(Atilde5frac12Riquestifrac14raquoiEcirc[NtildeIumlatildefrac14dOumlsup1cedilAumlI] uacute_^J^Er iquest`s[Atilde5AumlUEcircAtilde5AEligwsup1AgraveFfrac14dAgraveAacutesup1AcircnAtildeyAgrave5AumldraquoUAacuteAumldAringcedilAElig_aIuml x4~rv p4PldrRtcodPldpoundUodUp4Pl|WoqodshyiUrv paumlumltutcodutet13v uacute+w iquestex uacuteyIrz^ Iuml

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CBh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34LiquestBagraveyIumlWfrac14raquoiEcircidIumlBTHORNampAringraquo~Agravefrac14raquo13] uacute4^z^J^ iquest`[ampfrac14Igrave(AtildeEumlcAacuteIcirc~Atilde5AumlcedilAtildeAacutesup1Agrave(sup1raquoUAacuteAtildeordmdcedil4frac14Aacutesup1AumldraquoaeligOgraveuAumldcedil0sup1Igravefrac14dordmdAtildeAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIuml xQ|||~pwl~ lnrRtcodNtildeodiexclsect9lrRrv p auml9Pl| ~tuyldi j l|4Utu]vx4~rvreg t not v P4v Iumlh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34Liquestgagrave0IumliquestIumlgatildeUAacute4frac14dsup1Eacuteiquest9frac14draquoiEcircdIuml9THORNampAringraquo~Agravefrac14raquo13] uacute_^J^ xiquest` THORNampAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeIacuteEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34iraquo~Ecircsup1raquo~ordmsup1raquoIgrave(AtildeEcircsup1Agravefrac14frac12iexclsup1Igravefrac14ordm|Atilde5AEligaringEacuteLfrac34Oacutesup1raquoLAacuteAtilde5ordmcedil4frac14Aacutesup1raquo~ordm ordmdcedil4frac14|Ecircsup1Atilde5raquoLAacute frac14raquoiEcirccedilAtilde5ordm|sup1Auml|raquo sup1raquoOgraveuAumldcedilIgravefrac14ZAacutesup1Auml|raquo13aIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu notI iquesteE ^4y rdugrave Iumlh=Icircifrac14raquoiquestBETHIumlWfrac14raquoiEcircIuml g Atilde5AEligwAtildeJ] dividedugravedugraveuacute iquest` agraveAgraveAacutesup1AcircnAtildeFAgrave5Auml|raquoLAacuteAuml|AringcedilAElig$Ccedilgsup1AacuteIcircAuml|AringAacuteNtildeAtilde5Ecircordm|AtildeAElig_aIuml xQ||k|~pwld lnrRtcododUacutex4shy(l not v9sectpqo4v 4tu notuU v divideJw iquest divide xJx ydividezrJr Iumlh=Icirc~Atilde5AEligwraquo~frac14dAring~EcirciquesthIumliquestfWIuml=szligAtildeOgraveYacutecedilIAtilde5ordm|sup1Atildecediliquestfrac14draquoiEcirc g Iuml5Z=AumldAring~frac12AtildeAacute4] uacute_^J^z^ iquest`currenatildeUAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12cedilAtilde5ordmdsup1AumldraquoAEligwraquoifrac14dUgrave|AtildeEumlsEacuteifrac14dAEligwAtilde5EcircAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquofrac14|Ecircfrac14dOumlAacuteAtilde5EcircFAacuteAumlyEcircsup1s]AtildecedilAtilde5raquoLAacute-Ouml~IcircLfrac34AEligwsup1Agrave5frac14dfrac12~raquoAuml|sup1AEligwAtilde9Igrave(AumlUEcircAtilde5frac12AElig_aIuml xQ||k|~pqld~ lnrRtco~$osect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4vt iquest uacute|uacute_q y~uacute|uacute xIumlh=Auml|IcircAtilde5raquoiquestIuml] uacute4^z^uacute iquest`currenmiddotraquofrac14dAgrave Aacutesup1Acirc|Atilde Agrave5AumldraquoLAacuteAuml|AringcedilIacuteIgrave(AumlUEcircAtildefrac12AEligtimesfrac14draquo~EcirceumlEacuteifrac14dfrac12frac12AumlLAuml|raquoAElig_aIuml odshyiUrv pumltutcod pwl Utc0ldix4shyl not vsectEgravepwo4v tu not x4shyl not vOtildePnv p rsldidtu not) iquest divideUuacuteduacuteydivideLuacute UIumlh=Auml|IcircAtilde5raquoiquestSIumliquestUumlIuml13ZEgravefrac14cedil4Ecircsup1raquo~AtildeAacuteiquestfrac14raquoiEcircoNtildeIumlagrave9frac34Lfrac14dAgrave4Icirc~AtildeJ] uacute_^J^z iquest`atildeUAringcedilwOgraveufrac14dAgrave5Atilde0cedilAtilde5Agrave5Auml|raquoAEligqAacutewcedilAring~AgraveAacutesup1AumldraquotimesAring~AEligwsup1raquoordmfrac14AgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilaumlIgrave(AumlUEcircAtilde5frac12AElig_aIuml igraveiacuteraquoS] Lsect=xQ|od5v pv P4v od vwodshy(v rRp tc j v rregodtimestuodshyiUrv pumltutco Iuml~atildefrac14raquoUacuteTHORNampsup1Atilde5ordm|AumliquesthEgraveagraveyIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquestEgraveUumlIuml] dividedugrave|ugravedugrave iquest`currenatildeAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquo Ouml~frac14cedilAgrave5Auml|raquoLAacuteAuml|AringcedilAEligUacutefrac14AgraveAacutesup1currenOgraveuAEligUacuteAtilde5raquosup1Igravefrac14dordmdAtildecedilsup1AtildeIacuteIgraveAtilde5Ecircsup1Agravefrac14dfrac12AtildeIacuteEcircfrac34UEumlraquoifrac14dIgrave(sup1ecircLAring~Atilde]ampfrac14Ouml~Ouml~frac12sup1Agravefrac14ZAacutesup1AumldraquoAtilde5raquoeumlAgravefrac14Zcedil4Ecircsup1Auml|frac12Auml|ordmdsup1Atilde raquoUAring~Agravefrac12Atilde5frac14dsup1currencedilAtildeJaIumlfIcircIuml THORNFIumlAacuteIcirc~Atilde5AEligwsup1AElig5iquestraquo~sup1AcircnAtildecedilAEligwsup1currenAacutefrac34`AumlOgraveosup1Agrave5AtildeEumliacuteatildeAumldOuml~Icircsup1Yacutefrac14NtildeagraveraquoLAacutesup1OumlPAuml|frac12sup1AElig5iquestPeacutecedil4frac14raquo~Agrave5AtildedIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquest|UumlIumliquestUaacuteIacuteIumlEZEgravefrac14cedilfrac12frac14dAring~Ecirciquest[NtildeIumlLagraveAringEacutePAtildecedilwAacuteiquest|frac14draquoiEcirc dIumlnTHORN$frac14ZcedilAgrave5Auml|AringcedilwAacute4] divideugrave|ugraveUuacute iqueste`currenatildeOuml~frac14dAgrave5AtildeEgraveAacutesup1Igrave(AtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14EumlAacutesup1AumldraquoUacuteAring~AEligwsup1raquoordmfrac12Atilde5AcircnAtilde5frac12AEligwAtildeAacutefrac14dAgraveAacutesup1AcircnAtilde$AgraveAuml|raquoLAacuteAuml|AringcedilAEligfrac14Ouml~Ouml~frac12sup1AtildeEcirciexclAacuteAumlFIgraveNtildefrac34LAumlLAgravefrac14Zcedil4Ecircsup1frac14dfrac12ordmnfrac14ZAacuteAtildeEcircOtildeatildeIf-UumlkhEgraveETHaIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu not t v rJw iquest)x qJ+y xJ ^ Iuml

THORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquest13iexclNtildeIumlfrac14draquo~EcircdIumlWaacuteAuml|raquoLAacute4frac14ordm|raquoifrac14ZAacute4] divideugrave|ugraveUuacute iquest` ETHBAumldOumlPAuml|frac12Auml|ordmfrac34Oslashfrac14raquoiEcircIacuteAEligwIcirc~frac14dOumlPAtildeAgraveAuml|raquo~AEligqAacutewcedil4frac14sup1raquoUAacuteAEligyAumldraquotimesOumlifrac14Zcedil4frac14EumlIgrave(AtildeAacutewcedilsup1AgraveOslashfrac14dAgraveAacutesup1AcircnAtildearingAgrave5AumldraquoLAacuteAuml|AringcedilAElig_aIuml odshy~rv pumltutcodldP x4shy(l not vPLv p4rsldPtu notcent) v divideJw iquestuacute_qnugrave4yiuacute4rUuacute Iuml[Auml|Igrave(Atilde5AElig5iquestpounddIumlfrac14draquo~EcircaringmiddotNtildeIumleacuteifrac14Aring~ordm|Atilde cedil4frac14dAElig_] divideugrave|ugrave|ugrave iquestcurren` szlig9Atilde5Agrave5Aumldraquo~Agrave5sup1frac12sup1raquo~ordmIacuteEcircsup1AEligqAacute4frac14draquoAgrave5AtildeOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligfrac14draquo~Ecircaeligfrac12Atilde5AcircnAtilde5frac12EgraveAEligwAtilde AacuteAElig_aIumlpoundUodUp il|WoqUacuteumltul|-odshyNtildeshyFU~tR4lrRtcodTldix4shyl not vampgvipv v rsldrRtcod ) iquest dividedugravez^+ydivideddividez Iuml[cedil4frac145frac34LiquestszligyIumliquestdIumlyen-Auml|Aringraquo~ordmiquestampfrac14raquoiEcircagrave0Iumlampagravesup1currenfrac34LAtildecedil4] dividedugravedugraveuacute iquest `aacutesup1raquosup1IgraveNtildeAring~Igrave Ecircsup1AEligwAgrave cedilsup1Igrave(sup1raquo~frac14Aacutesup1Auml|raquosup1raquoOgraveregAumldcedilIgravefrac14Aacutesup1AumldraquoAgrave5frac12Aring~AEligqAacuteAtildecedilsup1raquo~ordmI]Igrave(AumlUEcircAtilde5frac12sup1raquo~ordmTfrac14raquoiEcircOslashecircLAringifrac14raquoUAacutesup1Ocircfrac14ZAacutesup1Auml|raquoOslashCcedilgsup1currenAacuteIcirc ordm|frac14dAringAEligwAEligIgrave(sup1currenicircAacuteAringcedilAtilde5AElig_aIumlTigraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquest=atildePIumliquest=aacuteIacuteIumlkZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestEgravefrac14raquoiEcirc[NtildeIuml=agrave9Aring~EacutePAtildecedilwAacute4] dividedugrave|ugraveUuacute frac14Uiquest` agrave EumliacuteatildeUAacuteAtilde5Ouml frac14dfrac12ordm|Aumlcedilsup1currenAacuteIcirc~IgraveAring~AEligwsup1raquoordmcedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtilde=Agrave5Auml|raquoLAacuteAuml|AringcedilAEligeOgraveuAumldcedilAcircUsup1EcircAtilde5AumlAuml|EacuteUbrvbarqAtilde5Agrave AacuteAElig=EcircAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoSaIuml~igraveraquo13]psect xw j x4 sect odpDumlqo odUacutex4shy(l not v9Pl| ~tu5op j rRtushyvwdtclNtildex4rv pwlnrRtKndvy]v pntc4v IumliETHWfrac14dIgrave(OumlPAtilde cedilAtilde|iquestieacuteWsup1raquofrac12Yacutefrac14raquoiEcirc]Iumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquestUatilde]IumliquestUaacuteIacuteIumlUZ=frac14cedilfrac12frac14dAring~EcirciquestUfrac14raquoiEcirccopy[NtildeIumlUagrave9Aring~EacutePAtildecedilwAacute4] dividedugravedugraveuacute EacuteiquestA` szlig9Atilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14AgraveAacutesup1AcircnAtildegAgrave5Auml|raquoLAacuteAumldAringcedilAEligOgraveuAumldcedilAcircUsup1YacuteEcircAtilde5AumlaringAuml|EacuteUbrvbarqAtilde5Agrave AacuteOtildeAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo Ccedilgsup1currenAacuteIcircaAgrave5frac14dIgrave(Atildecedil4frac14OslashAgrave5AumldIgrave(OumlPAtilde5raquo~AEligfrac14ZAacutesup1Aumldraquo13aIumligraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquesteatilde]IumliquestWaacuteIacuteIumlZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestefrac14draquo~Ecirc[NtildeIumlBagraveAring~EacutePAtilde cedilwAacute4] divideugrave|ugraveuacute Agrave|iquestk` g sup1EcircAtilde5AumlUacuteAuml|EacuteUbrvbarqAtildeAgraveAacuteFAEligwAtildeordm|Igrave(Atilde5raquoLAacute4frac14Aacutesup1AumldraquoAring~AEligwsup1raquo~ordmIacuteAtilde5Aring~frac12Atildecedilsup1frac14draquo cedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAElig_aIuml igraveiacuteraquoS] x4rv p ildrRtcodil|yodv pwv P4vIacuteoodshyiUrv paumlumltutcod Iuml g frac14draquoAgrave5Auml|AringAcircnAtildecediliquestehEgravefrac14draquo~frac14|Ecirc~frac14UIumlbyfrac14dAEligwAElig5iquesteaacuteIacuteIumliquestWagrave0Iuml Ucirc sup1currenAacuteUgravesup1raquoiquestWfrac14raquoiEcirctimesTHORNFIumlWETHBAtildecedilOcirc5AumldOumlPAuml|Aringfrac12AumldAElig_] uacute4^ JUiquestk`currenatilderaquoifrac14UgravenAtilde5AElig_]WagraveAgraveAacutesup1AcircnAtilde(Agrave5AumldraquoLAacuteAuml|Aringcedil0Igrave(AumlUEcircAtilde5frac12AElig_aIumlx4~rv p4PldrRtcoPl|WpoundUop4PldWoqodshyiUrv pTumltutcod iquest ndivideUuacuteyUzndivide Iuml

aacuteUacutefrac14dfrac12frac12frac14|Ecircsup1ciquest~szlig0IumliquestedIuml]atildeUAtildeAacuteIcirc~sup1frac14raquoiquest~frac14draquoiEcircZIuml g Atilde5IgraveNtildeAringcedilsup1G] uacute4^z^ UiquestS`atildeUIcircifrac14OumlPAtilde$Igrave(AumlUEcircAtilde5frac12sup1raquo~ordm0Ccedilgsup1AacuteIcirciexclOgraveregcedilAuml|raquoLAacuteOumlcedilAumldOumlifrac14dordm|frac14EumlAacutesup1Aumldraquo13]nfrac14ampfrac12AtildeAcircnAtilde5frac12AEligwAtildeAacuteEgravefrac14Ouml~OumlcedilAumlnfrac14dAgrave4Icirc13aIuml xQ|||~pwld lnrRtcodampodsectgldrRrv p 9Pl| ~tu9ldP j ln4Utreg]vx4~rvu t not v i4v Iordf iquest uacute z yiuacute+r UIuml

aacuteUacutefrac14draquoAEligwAuml|Aringcedilsup1Riquestagrave0Iumlfrac14draquo~EcircdIumlb$Auml|raquocedil4frac14|EcircS] uacute_^J^J^ iquestlaquo`currenaacuteAumldAacutesup1AumldraquoAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo`Ccedilgsup1currenAacuteIcirceumlfrac12Atilde5AcircnAtildefrac120AEligwAtilde AacuteAElig_aIuml igraveraquo13]x4~rv p4PldrRtcoPl|=ov pwv P4vNtildeodUacutex4shyl not vsectEgravepwo4v tu not Iumlcb$AumldEacutePAtilde|iquestednfrac14dOuml~frac14draquoIuml

aacuteAuml|raquoLAacute4frac14dordmdraquoifrac14ZAacuteiquestdIumliquestziexcl0IumlTHORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquestdfrac14draquo~EcircoNtildeIumlZagravegfrac34Ufrac14dAgrave4Icirc~AtildeJ] dividedugrave|ugraveUuacute iquest` agraveOslashcedilAtildeAcircsup1AtildeCcedilaeligAumldOgravePEcircAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeAEligwAringcedilwOgraveufrac14dAgrave5AtildeAElig_]AacuteAuml|OumlPAuml|frac12Aumldordmdfrac34Liquestgordm|AtildeAuml|Igrave(AtildeAacutewcedilwfrac34frac14draquoiEcirc EcircAtildeOgraveuAumlcedilIgravefrac14Aacutesup1Auml|raquoSaIuml x4shyl not vtimesldiOacuteumltutcododshy~rRtreg not0Inot v uacute_qw iquestuacuteugravendivide+y~uacuteugravezq|ugrave Iuml

aacuteAring~IgraveOgraveregAumldcedil4Ecirciquest=THORNFIumlgfrac14raquoiEcircdIumlatildeIcirc~frac14dIcircS] uacute4^ ^ iquest`currenmiddotOumlAacutesup1Igravefrac14frac12$frac14dOumlOumlcedilAumlicircsup1Igravefrac14Aacutesup1Auml|raquoAEligEacuteLfrac34Oumlsup1AtildeAgrave5AtildeCcedilgsup1AEligwAtildetimesAEligwIgrave(AumlLAumlAacuteIcircOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligFfrac14raquoiEcircOslashfrac14dAEligwAEligwAumlLAgravesup1Yacutefrac14ZAacuteAtildeEcircaringAcirc|frac14Zcedilsup1Yacutefrac14ZAacutesup1Auml|raquoifrac14frac12EgraveOumlcedilAumldEacute~frac12Atilde5Igrave(AElig_aIuml odshyNtildeshyFU~tR4lrRtcod~oaeligsectEgraveUpvUacuteldiEgraveni tsvw j ldrreg~v shy(lrRtccurrenshyt iquest rzr4y xJ q Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfa

yenKbrvbarsect =4 acirc $ zmiddotAEligwIcirc~AtildecediliquestdatildePIumlfrac14draquo~EcircdIumlnatildeAtilde AacuteIcirc~sup1frac14draquoS] uacute4^ ziquest` eacutecedilAuml|raquoLAacuteAEligeOumlcedilAumldOumlifrac14ordmnfrac14Aacutesup1raquoordmCcedilgsup1currenAacuteIcircFAgrave5AringcedilAcirc|frac14ZAacuteAringcedilAtildeEumlEcircAtilde5OumlPAtilde5raquoiEcircAtilde5raquoLAacuteBAEligwOumlPAtildeAtildeEcircS]

agravefrac12ordm|Aumlcedilsup1AacuteIcircIgrave(AEligEacute~frac14dAEligwAtildeEcircaumlAuml|raquoiexclampfrac14Igrave(sup1frac12AacuteAumldraquoEumldnfrac14Agrave5Auml|Eacutesup1eacute~AumldcedilIgraveNtildeAring~frac12frac14Aacutesup1Auml|raquoSaIuml poundUodUp4Pl|oqiexcloshyiUrsldrRtcoPl|sect=U~tc ordfenot iquest uacutedivide4yEqE^ Iumlfefrac14cedil4frac14ordm|sup1Auml|AElig5iquestoNtildeIumlfrac14draquo~EcircIacuteszligyIuml]THORNampAtildecedilsup1Agrave4Icirc~AtildeJ] uacute4^z^J^ iquest`s[Atilde5AumlUEcircAtildeAEligwsup1Agravefrac14AgraveAacutesup1AcircnAtildeFcedilAtilde5ordmdsup1Auml|raquo~AElig$OgraveregAumldcedil0Igrave(AumldAacutesup1Auml|raquoTAtilde5AEligqAacutesup1Igravefrac14Aacutesup1Aumldraquofrac14draquoiEcircAacutewcedil4frac14dAgrave4UgraveUsup1raquoordmAaIumligraveiacuteraquoS] x4rv p ildrRtcodil|-ov pwv P4vFodOslashodshyiUrv paumlumltutco Iumleh=AumldcedilwOgraveregAringgt[cedilAtilde5Atilde5Agrave5Atilde|Iumlfefrac14AacuteAtilde5Aringicirc]iquestatilde]Iuml] dividedugravedugrave|ugrave iquestpound`currenatildeOuml~frac14Aacutesup1frac14dfrac12AEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoTAumldOgrave=Agrave5Auml|frac12Aumlcedilysup1Igravefrac14ordm|Atilde5AEligampfrac14dAgrave5Agrave5Aumlcedil4Ecircsup1raquo~ordmAacuteAumlUacuteaacuteTHORNaringOgraveregAumldcedilIgravefrac14dfrac12currenEumlsup1AEligwIgraveaIumlyigraveraquo13] x4~rv p4PlrRtcodPld=od5v pv i vodododpFtu pwl4UtcldPx4shyl not vysectpqo v tu not Iumlatildefrac14dsup1raquoLAacute UumleAacutesup1Atilderaquo~raquo~Atildediquestieacutecedil4frac14raquo~Agrave5AtildedIumlfcedilAtildeAgrave5sup1Auml|AEligwAumliquesteacute=IumlEgravefrac14raquoiEcirc aacuteIacuteIumlcurrenZEgravefrac14cedilfrac12frac14dAring~EcircS] dividedugrave|ugraveUuacute iquest` Z-EumliacuteatildeUOuml~frac12sup1raquo~Atildeaumlfrac14dAgrave Aacutesup1Acirc|AtildeOtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAEligOgraveregAumldcedilOgraveRfrac14AEligqAacuteAcircUsup1EcircAtilde5AumltimesAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIumlOacuteigraveraquo13] x4rv p ildrRtcodil|od5v pv P4vaeligod x4shy(l not vUacutesectpqo4v 4tu not IumlETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1Riquest[cedilAtilde5Atilde5Agrave5Atilde|Iuml

szligAumldraquoOgraveufrac14cedil4EcirciquestszligyIuml] uacute_^J^q iquest` szlig9Atilde5ordmdsup1AumldraquoEumlsEacuteifrac14AEligwAtildeEcircFAEligqAacutewcedil4frac14ZAacuteAtilde5ordm|sup1Atilde5AEligeOgraveuAumlcedil-frac14dAgraveAacutesup1AcircnAtildeEgraveAgraveAuml|raquoLAacuteAuml|AringcedilIgrave(AumlUEcircAtilde5frac12AElig_aIuml x4~rv p4PldrRtcoPl|poundUodUp il|WoqodshyiUrv paumlumltutco I v dividezw iquest divideddividez^+yUdivide uacute Iuml

atildefrac14Igrave(AEligwAuml|raquoiquestzhIumliquestzIumlzZ=frac12frac14raquo~AgraveEumleacuteAtildecedil4frac14AringiEcirciquestJ[NtildeIumldagraveAringEacutePAtildecedilwAacuteiquestfrac14draquo~Ecirc dIumlJregPAtildecedilAring~Eacutesup1frac14I] dividedugravedugrave|ugrave iquest` agrave frac12Atilde5Acirc|Atilde5frac12UAEligwAtildeAacuteIgrave(AumlUEcircAtilde5frac12nOgraveregAumldcedilsup1Igravefrac14ordm|AtildeAgrave5frac12frac14dAEligwAEligwsup1siAgravefrac14ZAacutesup1Auml|raquo13aIuml x4~rv p4PlrRtcodPldpoundUodUp4Pl|BoqNtildeodshyiUrv pOtildeumltreg4tRod shy v Ew iquest uacute r4y~uacute4^Er Iuml

atildefrac14raquo~ordmdCcedilgsup1raquoAtilde|iquest9atilde]IumlEgravefrac14draquo~Ecircszlig0IumlampiexclAumldcedilraquoAtilde v Atilde5EcircAElig5Iuml w ] uacute_^J^ Uiquest ~vIacuteo|odUpaumltushyl not vipqo4v 4tu not ldP|m4oo4uml Iumlh=Icircifrac14dOumlIgravefrac14draquodegmacriexclampfrac14dfrac12frac12RIumlatildeAtildeAacuteIcircsup1frac14draquoiquestdIumlplusmn] uacute4^z^|ugrave iquestU` oAringIgrave(Atildecedilsup1Agravefrac14dfrac12Ufrac14frac12ordm|Aumldcedilsup1currenAacuteIcircIgrave(AEligWOgraveuAumldcedilOumlcedilAuml|Oumlifrac14ordmnfrac14ZAacutesup1raquoordmsup1raquoLAacuteAtildecedilwOgraveRfrac14Agrave5Atilde5AElig_]Jiexclampfrac14dIgrave(sup1frac12currenAacuteAuml|raquoEumldnfrac14dAgrave5AumldEacute~sup1

AtildeecircLAringifrac14Aacutesup1Aumldraquo~AElig-frac14draquoiEcircAgraveAuml|raquo~AEligwAtilde cedilAcirc|frac14ZAacutesup1Aumldraquo(frac12frac14CcedilgAElig_aIuml poundUodUp4Pl|]oqEgraveyen$t lv pv rRtcl| voshyv rRp~ iquest uacute4Uuacutey~uacute x uacute IumlatildeAtildeAacuteIcircsup1frac14draquoiquestAdIuml] uacute4^J^ xiquest kWvndvB]v r j v rregod IumlcurrenhEgravefrac14dIgraveNtildeEacutecedilsup1EcircordmdAtilderaquosup1AcircPIumlAfecedilAtilde5AEligwAElig5Iumlatildesup1Ecirc~Ecircsup1ecircUsup1Riquest4bIumliquest_yenNtildeIumlBfrac14Aring~Ocirc5sup1Gsup2AtildecedilAtilde|iquestagraveyIumlETHWfrac14draquoraquo~Atilde5raquoUEacute~frac14dAring~IgraveUacuteiquest5frac14draquo~EcircNtildeatildePIumlregPAring~Agrave4UgravenAtildecedil4] uacute_^J^ xUiquestE`currenagravegcedilAtildefrac149frac14draquoiEcirc$frac12Atilde5raquoordmdAacuteIcircyIgrave(sup1raquoEuml

sup1Igrave(sup1Ocirc5sup1raquoordm sup3iAumlCcedilgAEliggOgraveuAumldcedilAEligwIcircifrac14OumlPAtildeyAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo13aIuml xQ|||~pwl~ lnrRtcodoOtildex4shyl not vsectEgravepwo4v tu notordf v Ew iquest qEz+yqzqE Iumlyen=AtildeOcirc5Ocirc5sup1RiquestagraveyIumliquest5agrave0Iuml5ETHEgraveAEligfrac14dsup1Riquestfrac14draquo~Ecirc$agrave0Iuml Ucirc sup1frac12frac12AEligwUgraveLfrac34] uacute4^z^J^ iquestJ` agraveaeligAEligqAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12Ufrac14dOumlOumlcedilAumlnfrac14Agrave IcircampAacuteAumlgAEligwraquo~frac14dUgravenAtilde5AElig]OgraveuAumlcedilWEacutesup1Igrave(AumlUEcircfrac14dfrac12frac14draquoiEcircAacutewcedilsup1Igrave(AumlUEcirc~frac14frac12isup1Igravefrac14dordmdAtildecedilwfrac34aIumligraveraquo13] x4rv p ildrRtcodil|eodv pwv P4vyodx4shyl not vgsectpqo v tu not IumlAb$AumldEacutePAtildednfrac14dOuml~frac14draquoIumlreg]IcircUAringiquest]atilde]Iumlfrac14raquoiEcircaumlagrave0Iumleyen=Aringsup1frac12frac12AtildeJ] uacute_^J^ xUiquestpound` szlig9Atilde5ordmdsup1AumldraquotimesAgrave5AumldIgrave(OumlPAtildeAacutesup1currenAacutesup1Auml|raquo13]iAring~raquo~sup1currenOgraveYacutefrac34sup1raquoordmiexclAEligwraquo~frac14dUgravenAtilde5AElig5iquestPcedilAtildeordm|sup1Auml|raquoTordmdcedilAumlCcedilgsup1raquo~ordmiquestfrac14draquoiEcircZEgravefrac145frac34LAtilde5AEligacute|aacuteTHORNOgraveregAumldcedilIgraveFAring~frac12currenAacutesup1Eacuteifrac14raquoiEcirc sup1Igravefrac14ordm|AtildeTAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo13aIuml xQ|||micro~pwld lnrRtcodtimesosect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4v Icent iquesteJ q+yU^dugrave|ugrave Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfo

i $amp)(+-)013021+345627893lt=gt9A6CBfrac12OcircacuteIshyNT

frac12OcircacuteIltNTpara frac12frac34EMeJaumlQcYZYZjJUacuteQsY H [ ^QEgraveJLhZJUO H QcN H J H MeJordfXiacute[]fcfR[WQcO[Oslash^e[]ZaringNPQsOXiacutejOb H QR[]ONPfdaringocirc|adOuml times jOcircaacute uuml times a2atildeltszligaumlgtszliglOuml times j atilde auml

G QsObnJ H MJeumlYZJ H [SXIacuteNPfcfUacute^e[]ZaringNPQsOYMNPY Oe[ H N Y H hjb H jhZJ`[SXUPJUb H [PhQcNPfOtildeYZKNPbnJSefRJ H jYZ N`PJ H MeJeumlhZJ[]QR[]OYJUP[]fVUPJ H MehZ[]j[]M NrXqNSZaringQcfVm [SX H hNPOYYX[PhlZ N H QR[]OYa(|aagraveszlig jj emiddot iacuteaumlYlZOslash[[ H MaNPO^ centQ ~JUb H QVUPJS^ not [PhNOslashKEgrave[]QcO H $ aacute atildeshyszligaumlN eFWFJTOe[ H JSaring$ aagravej|aacutemiddot|aagraveszlig $ j WiexclQ H M |a s szlig $ jaacute $OumlcopytimesaagravejOcircaacutemiddot|aagraveszliglOumlutimesdj WiexclQ H M |a s szliglOumlcopytimesAjOcircaacuteAumlOumlutimes9J H jY H MeJUO^JOeJ H MeJordfUPJUfR[WbLQ H moUPJUb H [PhdY JUfs^kfrac12 YZjbM H MN H aringfrac12sup1aagraveszlig $ aagravejj|aacute aelig |aelig agrave aagraveszlig $ j YlaquoXiacuteNiharingNPY H MeJ bn[]ZOslashKj H N H QR[]O[SX H MeJ ^eJLhQU~N H QVUPJ QcYOslashbn[]ObnJLhOeJU^OeWFJNihZJQcOWVH JLhZJUY H JU^ QcO YYZaringNPfcfOtilde^JX[PhlZ N H QR[]OY^ J H MBjYJkWKNPO^ H MeJ H hNPOYX[PhZaringN H QR[]ONPbLbn[Ph^QcO[ H [hdY H [Ph^eJLh NmWfR[PhyacuteXiacute[PhlZtimesjfcNaring|aagraveszlig $ jpoundaacuteAElig|a s szlig $ j agrave aelig |aelig agrave a s szlig $ jaacute $ ragrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacute frac14 frac14 a s szlig $ j^ J H MeJUOQcO H hZ[W^jbnJ H MehZJLJgZ NPQcO^eJOQ H QR[]OYaringf^QMeJg0jfRJLhQcNPO^eJLhQU~N H QVUPJOtilde[SXocirc|adOuml times jordfaqQcO H MeJIacute^QRhZJUb H QR[]O[SXcedilfrac12jaring ocirc|adOumlcopytimesszlig_frac12jOcircaacutefcQZUcedil iacute ocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave admacrfj ^QMeJgZaringN H JLhQsNPfg^eJLhQVUiN H QVUPJOtilde[SXuumlStimesYa $ szliglOumlcopytimes)jaringsup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j|aacutefcQZUcedil iacute uumlStimesa $ ragrave3frac12ba $ jszliglOumlutimes agrave3frac12sup1a $ jj uuml]timesa $ szliglOumlcopytimesdjagrave admacr j^QMeJaumlYZMNiKEgraveJOtilde^eJLhQU~N H QVUPJOtilde[SXOcircuuml]timesa $ szliglOumlutimes)jaring

uumlnotraquotimes a $ szliglOumlcopytimesUcircszlig_frac12 jaacutefcQZUcedil iacute uumlStimesYa $ szliglOumlutimesragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave admacrS]j

uumlnyacutenthornnyumll13YSordmY_Fordfy

yenKbrvbarsect =4 acirc $ hq centUWQR[]jYZfVmSe-centmaJkBKNPO^QcO[ admacr jUacuteNPbLbn[Ph^QcOF[ H [hdY H [Phd^eJLhordfNmBfR[PhordfXiacute[PhlZtimesjfcNeWFJaumlMNUPJSaring sup1uumlStimesYa $ szliglOumlcopytimesUcircszlig_frac12 jaacuteAumluumlnotraquotimes a $ szliglOumlcopytimesszlig_frac12jhuumlStimesa $ szliglOumlcopytimes)j frac12sup1a $ j admacrj J H MeJUOabn[]ZOslashK-j H JZOslash[PhJaumlKhZJUbLQcYZJUfVm H MJ0jfRJLhQcNPO ^eJLhdQVU~N H QUPJauml[SXcopyocirc|adOumlcopytimesdj^ JMNUPJSaringocircOcircadOumlutimesaagravejj ocircOcircadOumlutimes)jagrave aacute fagrave = thorn yuml uuml times a $ aagravejszliglOuml times aagravejj $ uuml times a $ szliglOuml times j $ FH admacrSmacr]j5O H MJohY H QcO H J[PhdNPfdeltWFJZaringN`PJ H MeJU~NihdQcNicentfRJ bMNPO[PJ $ aagravejaacute $ agrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacuteethicirc7a2atildeshyszligaumlFjszligicirc cent a2atildeltszligaumlj eWMQcbdM[]QVUPJUYaring thorn yuml uuml]timesYa $ aagravejszliglOumlcopytimesYaagravejj $ aacute admacrS]j

5 uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlutimes agrave3frac12sup1a $ jjlt^eJ H ocirc a $ jlt $WMJLhZJocirc a $ jQcY H MeJgXiacute[]fcfR[WQcO[aringSNPbn[PcentQcNPOtZaringN H hdQkKaring

ocirc a $ jaacute oacute fcedilxagrave frac14 iacute oslashfrac14Uordm agrave frac14 iacute oslashfrac14 ugraveagrave frac14 iacute acircfrac14ordm fcedil agrave frac14 iacute acircfrac14 ugrave ocircNPO^ YZ[eFWNtildeJIacuteMNUPJSaring

^eJ H ocirc a $ jOcircaacute fUragravee^QVUKafrac34frac12sup1a $ jjragrave cent ^eJ H amacr frac12sup1a $ jjMJUOWNtildeJauml[Pcent H NPQcOOaring

fsQZcedil iacute ^eJ H ocirc a $ j fagrave aacute ^QVUKafrac34frac12sup1a $ jj admacr]zSjMJJBjN H QR[]OxadmacrSmacr]j H MeJUOcent=JUbn[]ZaringJUYaringocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave aacute fagrave middot uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jjlt 13raquo ocirc a $ jlt $ uumlStimesa $ szliglOumlcopytimesAj $ admacrSi]j JTbLNPO`YZjeKKEgrave[]YJ H MN H ^eJ H aocirc a $ jjfrac14aacute sfrac12 agrave frac12 $ ^ JZaringNm H MeJUO H N`PJ^eJ H aocirc a $ jjfrac34 s eNPO^ WNtildeJ ^eJUPJUfR[PK H MeJaJkWKhZJUYYZQR[]OadmacrSi]j NPYoX[]fsfR[WQsO[centmNP^^QcO[aringN H JLhZ QcO H MeJIacuteYZJUbn[]O^aQcO H J[PhNPfltWMQcfcJaumlYZjeKKhJUYZYZQcO[ H MeJtimesYZNSZOslashJ H JLhlZQcO H MJordfhY H QcO H J[PhNPfdaring ocirc|adOumlcopytimesYaagravejj ocirc|adOumlcopytimes)jagrave aacuteegraveOtildef1rOtilde cent admacrSh]j

uumlnyacutenthornnyumll13YSordmY_Fordf

s $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJSaring

Otilde aacute uuml]timesa $ ragrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave ^eJ H aocirc a $ jj $ ad s jOtilde cent aacute uuml]timesa $ szliglOumlcopytimesdj ^eJ H aocirc a $ jj fagrave $ adfj

9J H jY_ZaringN`PJordmagrave H JUO^ H [WNih^Y s ^curreniquestYZQcO[frac34admacrjiexclNPO^JOQ H Qc[]OYadmacr e macrS]jeWFJ[PJ H aringfcQZUcedil iacute Otilde aacute sup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j $

aacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ uuml times a $ szliglOuml times j frac12sup1a $ j $fcQZUcedil iacute Otilde cent aacute uuml]timesa $ szliglOumlcopytimesdj^QVUKafrac34frac12 j $

O^ Y[Xiacute[Ph H MeJgNtildejfRJLhQsNPO ^eJLhQVUiN H QVUPJSeWFJgO^Oaring ocirc|adOuml times szlig_frac12jumlaacuteyacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ amacrreguumlStimesYa $ szliglOumlcopytimes)j frac12sup1a $ j7 uuml]timesYa $ szliglOumlcopytimes)j^QVUKafrac34frac12sup1a $ jjj $aacute uumlnotraquotimes a $ szliglOuml times szlig_frac12j $ ^QVUKaduuml times frac12j $ ad j

MeJUO NiKKfVmWQcO[ H MJ hJLJUOWVAQRJZ NPOO H MeJL[PhZJZQcO ad jeWNtildeJ5ONPfcfmtimes[Pcent H NPQcOOaring ocirc|adOumlcopytimesszlig_frac12jOcircaacute uuml raquotimes a $ szliglOumlcopytimesUcircszlig_frac12j $ uacutefrac14 5 uuml]timesYafrac34frac12 eacuteAgraveiquestsup1AacuteAtildeAcircj THORN adS]jWMJLhZJ5eacuteAgraveiquestsup1AacuteAtildeAcircyQcY H MeJUacutejOQ H QcOOgraveWNih^ Oe[PhlZaringNPf H [ aelig OumlcopytimesUcirc^MeJ_NtildejfRJLhQcNPO ^eJLhQVUiN H QVUPJQcY(O[ H JU^ ocirc raquo aagravej(QcO H MeJaumlKNiKEgraveJLhNPO^ H MeJaumlYZMNiKEgraveJauml^eJLhQU~N H QVUPJyuuml raquotimes QcY(Oe[ H JU^ frac14 frac14 ^iquest acutemicrosup1cedilFLft not [PhyYQZOslashKfcQsbLQ H mSeWNtildeJ(bM[[]YJ H MeJcopyXiacute[]fcfR[WQcO[_U~NihQsN H QR[]OaeligQcO H MeJKhZ[B[SXaring$ aagravejaacute $ agrave3frac12sup1a $ j^MJiexclKh[[SXZaringNm NPfcYZ[IacutecentEgraveJiexcl^JUPJUfR[PKEgraveJU^WiexclQ H MZaring[PhZJ_[PJUOJLhNPfUiNihQcN H QR[]OYFYjbM NPYaring $ aagravejaacuteAacuteAgravea $ szligYagravejWQ H MAcircAgrave`NOslashYYZOslash[B[ H MXiacutejOb H QR[]ONPO^AcircAgravea szligYagravejcentQ ~5JUb H QVUPJS^

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ ffrac12OcircacuteIshyNT AcircE J(MNUPJ H [Otildebn[]ZOslashK-j H J H MJNtilde^QEgraveJLhZJUO HH JLhZaringY9[SXQa macr]j9QsOauml[Ph^eJLh H [Uacute[Pcent H NPQcO H MeJ

JUP[]fcj H QR[]OJBjN H QR[]O[SX H MeJ NPb H QUPJ bn[]O H []jehX[Ph H MeJ ^JUYZbnhQRK H [PhdYaumlcentNPYJU^Oacute[]OH MeJ(bn[U~NihQsNPObnJ ZaringN H hQVktimes^eJ H JLhlZ QcONPO H a2Ograveh]j^OgraveMeJ(bn[]ZOslashKj H N H QR[]OaringQcYampKEgraveJLhYXiacute[PhlZOslashJU^Xiacute[Ph H MeJIacute^eJUYZbnhQRK H [Ph_uuml thorn timesOslash yuml ^ q centUWQR[]jYZfmSeN YZQZ QcfcNihbn[]ZOslashKj H N H QR[]OabLNPOacent=JIacute^e[]OeJXiacute[PhOcircuuml thorn UgraveUcircUacuteUuml yuml ^ JiexclbLNPOaeligJkBKhJUYZYOcircuuml thorn timesOslash yuml NPYyNUacutebn[]ZTcent-QcON H QR[]Oaelig[SXgtXiacutejOb H QR[]OYamp^eJLKEgraveJUO^QcOF[[]O H MJOtildehZJ[]QR[]OwOuml timesOslash aring

uumlgtthorn times Oslash yuml a2atildeltszligaumlgtszligYagravejaacute`Ograveoacute m thorn timesOslash yumlaIgraveagrave thorn timesOslash yumlAtilde j cent ocirc adjWMJLhZJordmaacuteAuml85eWiexclQ H MAring8 H MeJordfXqjOb H Qc[]O QcO H h[B^jbnJU^ QcOpounda2Ograveh]je-NPO^aringm thorn timesOslash yuml aacute agrave thorn timesOslash yuml agrave thorn timesOslash yumlcent agrave thorn timesOslash yuml agrave thorn timesOslash yumlAElig agrave thorn times Oslash yumlCcedil agrave thorn timesOslash yumlEgrave agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlEgrave j cent agrave thorn times Oslash yumlcent aIgraveagrave thorn timesOslash yumlCcedil j cent agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlAElig j centWQ H MOaring EFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFH

agrave thorn timesOslash yuml aacute w$ thorn yuml aOtilde S times Oslash j cent atilde aumlagrave thorn timesOslash yumlcent aacute w$ thorn yuml aOtildeOgravecent Scenttimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yuml aacute w$ thorn yuml aOtildeS Stimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yumlAElig aacute w$ thorn yuml aOtilde S times Oslash jaOtildeOgravecent ScenttimesOslash j atilde aumlagrave thorn timesOslash yumlCcedil aacute w$ thorn yuml aOtilde S times Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlEgrave aacute w$ thorn yuml aOtilde cent S centtimes Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlAtilde aacute w$ thorn yuml atilde auml O^ Y[ H MJordfXiacutejOb H QR[]OY aelig thorn timesOslash yumlauml MNUPJ H MeJgXiacute[]fcfR[WiexclQcO[aeligJkBKhZJUYZYZQR[]OYaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

aelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlcent aacute aOtilde cent S centtimesOslash j centaelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlAElig aacute aOtilde S timesOslash jaOtilde cent S centtimesOslash jaelig thorn times Oslash yumlCcedil aacute aOtilde S timesOslash jaOtilde S timesOslash jaelig thorn times Oslash yumlEgrave aacute aOtildeOgravecent ScenttimesOslash jaOtilde13 StimesOslash jaelig thorn times Oslash yumlAtilde aacutemiddotf

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBnot h[]Z H MeJUYJaumlJkWKhZJUYYZQR[]OYeWFJOtildeJUNPYZQcfm ^eJU^jbnJ H MN H aring

$ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde aumlregaacute sEacutefrac12poundEcirc iuml

J H MeJUO MNUPJ H [Tbn[]ZaringKj H J H MeJ H JLhlZaringY eacute thorn times Oslash yumlauml XiacutehZ[]Z H MeJJkWKhZJUYZYQR[]OYamp[SXagrave thorn timesOslash yumlauml eWMQcbM fRJUNP^Y H [aringEFFFFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFFFFH

eacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideoslash aacute w$ thorn yuml uacute ouml $ordfdivideacirc uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIgrave yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H a timesOslash jjeacute thorn timesOslash yumlcent aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideacirc

aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIcirc yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideEuml aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideacirc thorn thorn uacute ouml $_divideIuml yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yumlAElig aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIuml aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideEuml uacute ouml $ordfdivideIuml thorn uacute ouml $_divideIcirc uacute ouml $ordfdivideIgrave yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlCcedil aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIcirc aacute w$ thorn yuml cent thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideacirc uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlEgrave aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIgrave aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideoslash uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlAtilde aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIacute aacute w$ thorn yuml thorn +ETH ouml $_dividethorn uacute ouml $ordfdivideIacute yuml Iuml 8 raquo aq^J H a timesOslash jj

O^centmJkWKhZJUYZYZQsO[ H MeJbn[UiNihQcNPObnJZaringN H hQVkpoundWQ H M H MJregXqjOb H QR[]OYagrave thorn timesOslash yumlauml NPYXiacute[]fcfR[WQcO[aring

timesOslashlaquoaacute 1NtildeNtildeNtildeNtildeNtildeNtilde3uacute ouml $ordfdivideoslashuacute ouml $ordfdivideIacute uacute ouml $_divideIumluacute ouml $_divideIacute uacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIumluacute ouml $ordfdivideIacute uacute ouml $_divideacircuacute ouml $_divideIacute uacute ouml $ordfdivideIgraveuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacute uacute ouml $_divideIgraveuacute ouml $_divideIacute uacute ouml $ordfdivideEumluacute ouml $ordfdivideIacute

6OgraveOgraveOgraveOgraveOgraveOgrave7 J H MJUO^eJU^jbnJSaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

eacute thorn times Oslash yuml aacute a fj thorn yuml ^eJ H aDC Ptimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlcent aacute a fj thorn centcent yuml ^eJ H aDC centcenttimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yuml aacute a fj thorn curren yuml ^eJ H aDC 4times Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlAElig aacute a fj thorn cent yuml ^eJ H aDC centtimes Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlCcedil aacute a fj thorn curren yuml ^eJ H aDC times Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlEgrave aacute a fj thorn centcurren yuml ^eJ H aDCcent4times Oslash j48 raquo aq^eJ H a timesOslash jjeacute thorn times Oslash yumlAtilde aacute amp^eJ H a timesOslash j48 raquo aq^eJ H a timesOslash jj

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ SWMJLhZJC EBtimesOslash QcY H MeJgZaringN H hdQk ^eJU^jbnJU^Xh[]ZOacutetimesOslasharingcentm YZjeKKhZJUYZYZQcOF[ H MeJyuuml UumlON hZ[WNPO^ H MJ I UumlON bn[]fcjFZaringOO^]MeJbn[]ZOslashKj H N H Qc[]OordmX[Ph H MeJ^eJUYZbnhdQRK H [Ph|uuml thorn UgraveUcircUacuteUuml yuml QcYyYQZaringQcfcNihNPO^WFJ H MeJUOOslashMNUPJNPfcf H MeJ(JkWKhZJUYZYZQc[]OY H [aumlbn[]ZOslashKj H J H MeJJUP[]fcj H QR[]OaeligJjN H QR[]OXiacutehZ[]Z H MeJg[PJUOJLhNPfOXiacute[PhlZIacutejfcNta macr]j^gtMQcYcopy[]QVUPJUY H MeJTJUP[]fcj H QR[]O JBjN H QR[]Osup1admacr s j^

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBΩ out

Objects

Γ

inΩ

inΩ

Background Part

-t not Upv copy ETHEgraveIcircAtildeampAacuteiacuteCcedil=AumlFcedilAtilde5ordm|sup1Aumldraquo~AElig9AumldOgravefrac14raquoUacutesup1Igravefrac14dordm|Atilde

Ω

Ω out (τ)Ω

(τ)in

N

Γ(τ)

Ω

N

v

w

N

-t not Upv ETHEgraveIcircAtildeyEcircAumldIgravefrac14dsup1raquo~AEliggfrac14raquoiEcircAacuteIcircAtilde$AcircnAtilde5AgraveAacuteAumlcedilAEliggsup1raquoUAcircnAumldfrac12AcircnAtildeEcircsup1raquoiexclAacuteIcirc~Atilde$EcircAtildecedilsup1Acirc|frac14ZAacutesup1Aumldraquo

uumlnyacutenthornnyumll13YSordmY_F2ordf

yenKbrvbarsect =4 acirc $ Smacr

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 Atilde|IumligraveAacuteAtildecedil4frac14ZAacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvyzU eacuteWsup1ordm|AringcedilAtilde5AEligfrac14iquest Eacuteiquest AgraveJ]iUumlAcircnAumldfrac12AringAacutesup1Auml|raquoOtildeAumlOgraveeAacuteIcirc~Atildeyfrac14dAgrave Aacutesup1Acirc|Atilde0AgraveAuml|raquoLAacuteAuml|AringcedilIgravefrac14raquoifrac14ordm|AtildeEcircUacuteEacuteLfrac34AacuteIcirc~AtildefTHORN$Uuml v qzqwsup1raquo~Agrave5frac12AringiEcircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquoifrac14frac12ampAacuteAtildecedilIgrave(AElig5IumlgeacuteWsup1ordm|AringcedilAtilde5AEligOtildeEcirc]iquest Atildediquest Ograve] g sup1AEligwAringifrac14frac12sup1Ocirc5frac14Aacutesup1Auml|raquo`AumldOgrave0AacuteIcirc~AtildeTAgrave5AumldcedilwcedilAtilde5AEligwOumlPAumldraquoiEcircsup1raquoordmAcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 OgraveuAring~raquoAgraveAacutesup1Auml|raquosup1raquo~Agrave5frac12Aring~Ecircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquo~frac14dfrac12ampAacuteAtildecedilIgrave(AEligraquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirc EacutePAtildeAacuteiacuteCcedil=Atilde5Atilde5raquo ugrave frac14draquoiEcirc divide JUiquestAEligwAring~Agrave4IcircTAacuteIcirc~frac14Aacute$AacuteIcircAtilderaquo~Atilde5ordm|frac14Aacutesup1AcircnAtildeAcircdfrac14dfrac12AringAtilde5AElig0frac14cedilAtildefrac12AumlCcedilEgraveAtildecedilyAacuteIcirc~frac14draquo uacutedivide Uacutefrac14raquoiEcircaumlAacuteIcirc~AtildeOumlPAumldAEligwsup1Aacutesup1AcircnAtilde(Aumldraquo~Atilde5AEligyfrac14ZcedilAtilde(Icirc~sup1ordm|IcircAtildecedilAacuteIcircifrac14raquo uacuteZdivide Iuml

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

Ecirc]Iumligraveraquo~sup1currenAacutesup1frac14dfrac12BAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 Atilde|IumligraveAacuteAtilde cedil4frac14Aacutesup1Auml|raquo ugravedugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not Upv ucirc eacuteWsup1ordmdAringcedilAtilde5AEligtimesfrac14iquest Eacuteiquest AgraveJ]ampUumlAcirc|Auml|frac12AringAacutesup1Auml|raquoAumlOgrave(AacuteIcirc~Atildearingfrac14AgraveAacutesup1AcircnAtildeOslashAgrave5Auml|raquoLAacuteAumldAringcedilIacuteIgravefrac14draquoifrac14ordm|AtildeEcirc`EacuteUfrac34AacuteIcircAtildeOcircfTHORN$Uumlv q w iquestiexclCcedilgsup1currenAacuteIcirc~AumldAringAacuteAacuteIcirc~Atildefrac14dEcirc~Ecircsup1Aacutesup1Aumldraquoifrac14dfrac12TAacuteAtildecedilIgrave(AElig5IumliexcleacuteWsup1ordm|AringcedilAtildeAElig Ecirc]iquest Atildediquest Ograve] g sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo AumlOgraveaeligAacuteIcirc~AtildeAgraveAumldcedilwcedilAtildeEumlAEligwOumlPAuml|raquo~Ecircsup1raquo~ordm AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 OgraveregAring~raquo~Agrave Aacutesup1AumldraquoeumlCcedilgsup1currenAacuteIcirc~Auml|AringAacuteIacuteAacuteIcircAtilde frac14|Ecirc~Ecircsup1currenAacutesup1Aumldraquoifrac14frac12FAacuteAtildecedilIgrave(AElig v raquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirceumlAEligwAring~Agrave4Icirc AacuteIcirc~frac14AacuteIgravefrac14icirc vOOtilde wpOumldivide z w Iuml

uumlnyacutenthornnyumll13YSordmY_F2

S $amp)(+-)013021+345627893lt=gt9A6CB

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIumligravesAacuteAtildecedil4frac14Aacutesup1Aumldraquogt ugrave|ugrave AgravedIumlieacuteWsup1raquoifrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12Acirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 AtildedIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIumlieacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvtimesLg sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo(AumldOgravePAacuteIcirc~AtildeAtildeAcircnAuml|frac12AringAacutesup1AumldraquoAumldOgravePAacuteIcircAtildeEgraveAgrave5Auml|raquoLAacuteAumldAringcedil-frac14draquo~EcircNtildeAacuteIcirc~AtildeEgraveAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 v Ccedilgsup1AacuteIcircAuml|AringAacuteAacuteIcircAtildeEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircFAacuteAtilde cedilIgrave w OgraveregAumldcedilEgraveAacuteIcircAtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoAumlOgraveAacuteIcircAtilde9Ograveufrac14dAgrave5AtildeAring~AEligwsup1raquo~ordmyAacuteIcirc~Atilde9Agrave5AumlZAcirc|frac14Zcedilsup1frac14draquo~AgraveAtildeIgravefrac14Aacutewcedilsup1currenicirc]Iuml

frac14Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcircnAtilde EacuteIumligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 v AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde w Agrave|Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacutefrac34 v Acircdfrac14cedilsup1frac14draquoAgrave5Atilde w-t not Upv h=AumldIgrave(Oumlifrac14cedilsup1AEligwAumldraquoOtildeAumldOgraveAacuteIcirc~Atilde$sup1raquo~sup1currenAacutesup1frac14dfrac12eAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34iexclAgrave5Auml|Igrave(OumlAringAacuteAtildeEcircAringAEligwsup1raquo~ordmAacuteIcirc~Atilde$AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde0Igravefrac14Aacutewcedilsup1currenicircv iordmdAringcedilAtildeFEacute w AacuteAumliexclAacuteIcircAtildeAuml|raquoAtildeFAgrave5AumldIgrave(Ouml~AringAacuteAtildeEcircTAringAEligwsup1raquo~ordmiexclAacuteIcircAtildeFAcircdfrac14cedilsup1frac14draquoAgrave5Atilde v ~ordm|AringcedilAtildeFAgrave w OgraveregcedilAumldIgrave AacuteIcirc~AtildeNtildeAEligfrac14dIgrave(Atildesup1raquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcirc|Atilde v iordmdAringcedilAtilde$frac14 w Iuml

uumlnyacutenthornnyumll13YSordmY_F2_a

yenKbrvbarsect =4 acirc $ ]z

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv Oslash| THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5AtildeccediliacuteAtildecedilsup1UgraveUegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_o

Si $amp)(+-)013021+345627893lt=gt9A6CB

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv ordf THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5Atildeccedilqfrac14dUgraveUsup1currenfrac34LAumldegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_y

RR-0114-SJEHANpdf
  • wwwi3sunicefr
    • httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf
Page 21: LABORATOIRE INFORMATIQUE, SIGNAUX ET SYSTEMES DE …mh/RR/2001/liste-2001.pdf · 2002. 6. 27. · [Dir01] DIRAT L. “Outils pour des Mathématiques Interactives et Distribuées”

yenKbrvbarsect =4 acirc $ fSfJkWKhZJUYZYQR[]OOaring

ocirc|aagravejumlaacute thorn yuml uuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszligYagravej atilde auml $ thorn yuml uumlgtthorn timesOslash yuml a2atildeltszligaumlgtszligYagravej atilde aumlj uacuteucirc thorn yuml uumlgtthorn otilde)yuml a2atildeshyszligaumlFj THORN af s j5OOtildebn[]O H hdNPY H WQ H MUacute[ H MeJLh9NPb H QVUPJFbn[]O H []jehdY9NiKKh[]NPbMeJUYe H MeJy^mWONSZaringQcbLNPfPYZbdMeJZOslashJQcYtimesMeJLhZJ^QRhJUb H fVmQcO H h[B^jbnJU^QcO H MeJbnhQ H JLhQc[]OO^ Q H MYZjbdMNeumlYZbdMeJZOslashJSe H MeJQcO H hZ[W^jb H QR[]OOacute[SXiexclNPO NPb H QVUPJbn[]O H []jehOslashJUP[]fVUWQcO[ WQ H Msup1agraveQcYaeligY H hNPQ[]M H Xiacute[PhYWNih^O^iexclJUObnJ WNtildeJbn[]OYZQc^eJLh H MN H Yacuteaagravej QsYoZaring[B^eJUfsfRJU^ NPY NPO NPb H QUPJOacutebn[]O H []jh H MN Hbn[]OUPJLhY[PJUY H [WNih^Y H MJgONPfEgraveJkWKEgraveJUb H JU^YJ[]ZOslashJUO H N H QR[]OO^9J H Yacutea s jtimescentEgraveJ H MeJQcOQ H QcNPfNtildebLjhYUPJa^eJOJU^centm H MeJjYJLh^ JahZJUbLNPfcf H MN H WFJYJUNihdbMtXiacute[Ph YacuteaagravejNPYNaringbLjehlUPJaumlJUP[]fVUWQcO[aringNPbLbn[Ph^QsO[ H [ H MeJgXiacute[]fcfR[WQcO[ordm5 aringaelig YacuteadTHORNOgraveszligYagravejaelig agrave aacuteegraveeuml WiexclQ H MigraveYacutea s j|aacuteegraveYacuteshyiacute afSfjWMJLhZJ_euml`QcY H MJ_UPJUfR[WbLQ H mUPJUb H [Ph([SX H MeJUacuteNPb H QVUPJOtildebn[]O H []jh^MeJ_Z NPQcO KhZ[PcentfRJZfcQcJUYFQsO-O^QcO[ H MeJiexclUPJUfR[WbLQ H meumlXhZ[]Z H MJUacutebnhdQ H JLhQR[]Opoundaf s jFQcO [Ph^JLh H [ordm[PJ HH MeJXqNPY H JUY H bLjhYUPJaumlJUP[]fcj H Qc[]O H [WNih^Y H MeJordfONPfYJ[]ZaringJUO H N H QR[]O^^ ^iexclEacuteltIacuteETHNtildeFETHEacuteshyOacute Eacute10wETH9Igrave8ltIgraveFEgravegt+NtildeFETH3gt+ltIgraveumlEacute10frac34ETH9Igrave=KEgrave13ETHIgraveFEgraveEacuteshyOacute5Oeuml[Ph^eJLh H [ [Pcent H NPQsO H MeJOslashJUP[]fcj H QR[]OeumlJBjN H QR[]Oe H MeJaringbnhQ H JLhQc[]OxocircOcircaagravej5ZtimesjY H centEgraveJ^QV=JLhZJUO H QcN H JU^WQ H MhZJUYKEgraveJUb H(H [agrave^MeJOtildeQcO H J[PhNPfcentEgrave[]jO^Y^eJLKEgraveJUO^ []Otagrave NPO^H MeJauml^JUYZbnhQRK H [PhdYyacuteuuml thorn UgraveUcircUacuteUuml yuml a)jNPO^wuuml thorn times Oslash yuml a)juZaringNm NPfcY[aring^JLK=JUO^[]Otagrave^9J H jY^eJOJ H MeJordfXiacutejOb H QR[]ONPfuumlOa2atildeltszligaumlgtszligYagravejYZjbM H MN H aring

uumlOa2atildeltszligaumlgtszligYagravej|aacute uuml thorn UgraveUacuteUuml yuml a2atildeltszligaumlgtszligYagravej QVXcopya2atildeltszligaumljwOuml UgraveUcircUacuteUuml aagravejuuml thorn times Oslash yuml a2atildeltszligaumlgtszligYagravej QVXcopya2atildeshyszligaumlFjtOumlcopytimesOslashKaagravej af jMJbXqjOb H QR[]ONPfuuml thorn UgraveUcircUacuteUuml yuml a)jNPO^Huuml thorn times Oslash yuml a)j`NihZJ^eJOJU^ []O H MeJxWMe[]fRJ7QZaringN[PJ^e[]Z NPQcOtOumliexcl^FMeJUOe H MeJaumlbnhQ H JLhQc[]OocircOcircaagravejuWhQ H JUY(NPYaring

ocirc|aagravejOcircaacute uacute uumlOa2atildeshyszligaumlKszligYagravej atilde aumlj uacuteucirc thorn yuml uumlgtthorn otilde)yuml a2atildeshyszligaumlFj THORNordfaacuteocirc aagravej ocirc cent aagravej af]jWMJLhZJgOuml QcY H MeJaumlQCZaringN[PJT^e[]ZaringNPQsOOeeNPO^Oaring

ocirc aagravej|aacute uacute uumlOa2atildeshyszligaumlKszligYagravej atilde aumlocirc cent aagravejOcircaacute uacuteucirc thorn yuml uuml thorn otilde)yuml a2atildeshyszligaumlFj THORN

uumlnyacutenthornnyumll13YSordmY_F

f $amp)(+-)013021+345627893lt=gt9A6CB5OOtilde[Ph^eJLh H [bn[]ZaringKj H J H MJ0^eJLhQVUiN H QVUPJy[SX H MJNtildebnhQ H JLhdQR[]Olaquoocirc aagraveje H MJNtilde^QcYbn[]O H QcOBjWVQ H QcJUY|ZtimesjY H JkWKfcQcbLQ H fVmIacutecentEgraveJ H N`PJUOQcO H [IacuteNPbLbn[]jO H ^ not [Ph(YZjbdM NIacuteKjehZKEgrave[]YJSeSWFJ5hY HhZJUbLNPfsf-N[PJUOeJLhNPf H MeJL[PhJZbn[]ObnJLhOQcO[ H MeJUacute^eJLhQVUiN H QVUPJ[SX9N H QZOslashJnV4^eJLKEgraveJUO^JUO HbnhQ H JLhQR[]OO^9J H jY(^eJ-OeJyOumlcopytimesaagravejNPYNOslashhZJ[]Qc[]OQcObLfcj^eJU^QcO H [regOumlordf^yacute5 q Ntilde_ f^1ltuumlStimesBiexcl centpoundcurrenyencurrenbrvbarsectumlordfcopynotlaquo3shyyenLregmacrcurrenRlaquodegcurrenbrvbarlaquo Oumlplusmna s szligsup2|iexcljsup3acute Rlaquomicromiddotparagtltocirc|aagravejOcircaacute w thorn yuml uumlStimesYa2atildeltszligaumlgtszligYagravej atilde auml~sup3cedilsectsup1ltlaquoordm ocirc agrave aacuteocirc7raquodaagravejOcircaacute thorn yuml aelig uumlStimesaelig agrave atilde auml uacutefrac14 thorn yuml uumlStimesYafrac34frac12 eacuteAgraveiquestsup1AacuteAtildeAcircYj THORNAuml sectsup1ltAringPfrac12AEligreg(centsectsup1Ccedilbrvbar_paracurrenyenshyltregLLEgraveacutecurrensup2uml aelig Oumlcopytimesaagravej RlaquomicroeacuteAgraveiquestsup1AacuteAtildeAcircEacuteregEcirccentsectsup1copysup1laquoregEumlreg(laquo Auml brvbarAringsup2microacutelaquocurrenRAringordfpound RparaIgravecurren aelig Oumlcopytimesaagravej_IacuteMJ^JLhQVUiN H QVUPJ[SXshyocircWQ H MaelighZJUYZK=JUb HampH [yagraveaeligQcY H MJyacute0jfRJLhdQcNPOIacute^JLhQVUiN H QVUPJ([SXocirc|adOumlcopytimesAjQcO H MeJOtilde^QRhJUb H QR[]O [SXEumlfrac12umleWMQcbdM bn[]ZaringKj H N H QR[]O QcY[]QVUPJUO QsO iexclKKEgraveJUO^Qkaring ^FMeJUiNihQcN H QR[]Oeuml[SX5ocirc QcYOtilde^jeJ H [ H MeJUiNihQcN H Qc[]O[SX H MeJordmXiacutejOb H QR[]ONPfOcircuuml]timesa2atildeltszligaumlgtszligYagravejaumlNPO^H [ H MeJgZOslash[ H Qc[]O[SX H MeJOtildeQcO H J[PhNPf^e[]ZaringNPQsOOumlutimesaagravej^ Y(Naeligbn[PhZ[]fcfcNihYm [SXltMJL[PhZJZfeFWFJordf[PJ H aringv q q shy9 5lt f^yenIcirccopyNcentampcentcopyIuml-Iumlsup1currenfcentyenYsectnot -sectsup1Ymicro-currenRpound Rreglaquofrac34Oumlgaagravejampreg(centpound -microETHcopyIumliexclcurrensup2uml Auml currenCIuml RAringordfcentsup3yOuml timesOslash aagravejNtilde RlaquomicropoundOumlyacuteUgraveUacuteUumllaagravejOgravecentyenfrac34Iumlsup1 brvbarAringsup2 brvbarmicro_Egraveh iexclpoundYcurrenbrvbarCcedildreglaquoNOacutehreglaquo5_Aringumllt -shytYacuteaagravejAuml sectETHregmacrshy_sectOcircCcedilRltparaOtildecurrendshyltregLLEgraveregEcirccentyacuteeumlEumlIacuteOumlsectsup1Uumlordfcopynotlaquo3shyyenLregmacrcurrenRlaquouumlOa2atildeltszligaumlgtszligYagravejreg(centcentordfcopyIuml-Iumlsup1currenfcentyenmicroOcircIgravecurrenOcirccentltfrac34Iuml RAringsup2 -_paraEgraveshycurrenRlaquo5LreglaquocopycurrenRcopynotcentcedilreglaquoyOumlcopytimesOslashKaagravejW Rlaquomicro Ouml UgraveUcircUacuteUuml aagravej_copy3pound REgraveampJmicrobrvbarregEcirccentltshycurrenRlaquo5LreglaquocopycurrenRcopynotcentJ -shyltAringPcurrenfcentcentYacuteaagravej_Iacutetimes Agravelaquocurrenbrvbaruuml thorn times Oslash yuml Rlaquomicroruuml thorn UgraveUcircUacuteUuml yuml sup3sectsup1Ccedilf brvbarparacopy5iexclcurrensup2umlwuumlreglaquoOslashAringordfcentIumlshydLreg(Ccedilbrvbar_paraEgraverOumlutimes OslashaagravejAgrave Rlaquo3microOuml UgraveUcircUacuteUuml aagravej_IacuteUgraveOumlsectNcopyNcentampsectmicroETH_Aringordfreg(CcedilR brvbarLregCcedilRcurrensup2umlordfocirc|aagravej Auml AringregLordfcent fcent_ordm

ocirc7raquo)aagravejOcircaacuteUacute thorn yuml aelig uumlaelig agrave atilde auml uacutefrac14 thorn yuml uumlOaLUcirc eacute iquestsup1Aacute j THORN uacuteucirc thorn yuml uumlNaeuml eacuteHj THORNAuml sectsup1ltAringPacute uumlNAringfrac34Iuml3AringP_centlt_laquocentYsectUumlordfcopysup1poundUgraveIumlcurrensup2umlguumlh -shyltAringPcurrenfcentcentordfYacuteaagravej_ordmW uumlNaacuteacircuuml thorn UgraveUacuteUuml yuml uuml thorn times Oslash yuml sup3eacute sectsup1ncopynotlaquo5reglaquo3currenRAringpound RparaIcirccurrensup2umlordfYacuteaagravejmicrobrvbarreg(AringshydmicroampumlAringPcurrenRpound Ouml UgraveUacuteUuml aagravejIgravecurrenOumlutimes OslashKaagravejsup3eacuteAgraveiquestsup1Aacutesectcopysup1laquoregLEumlreglaquo Auml RAringPmicroOcirclaquocurrenRAringordfpound Rpara1Igravecurren aelig Oumlgaagravejj RlaquomicroUcircYacutesectsup1jCcedilbrvbar_paracurrenyenshyltregLLEgravenCcedilbrvbarshydIgravecurrenRAringjcurrensup2uml_Oumlyaagravej_Iacute

plusmngLMOMraquo aring JbLNPO NiKKfVm MJL[PhZJZ f H [ H MeJ ^[]ZaringNPQcO Oumlutimes OslashaagravejaringNPO^ H [ H MeJ^e[]Z NPQcOtOuml UgraveUcircUacuteUuml aagravej^ ^^QcO[ H MeJ H WF[aringJjN H QR[]OYeFWFJOtilde[Pcent H NPQcO H MeJTbn[PhZ[]fcfsNihYmS^ H QcYIacuteOe[WY H hNPQ[]M H Xiacute[PhYWNih^ H [[PJ HtimesH MeJ ^eJLhdQVU~N H QUPJ [SX H MeJ bnhQ H JLhQR[]O ocirc aagravejaringWFJ H N`PJ5OumlyaagravejOcircaacuteAumlOuml H MeJiexclQZaringN[PJ^e[]Z NPQcOta not QV[^ j^MJUOOePcentmaeligJkWKfcQcbLQ H fVm H N`WQcO[

uumlnyacutenthornnyumll13YSordmY_FY

yenKbrvbarsect =4 acirc $ fH MeJtimes^QcYZbn[]O H QcOBjQ H QRJUY(QsO H [ NPbLbn[]jO HUacuteH MNPOF`BY H [ H MeJtimesbn[PhZ[]fcfcNihlmSe H MeJtimes^eJLhQVUiN H QVUPJ[SXocirc aagravejQcYcopy[]QVUPJUOacentmKaring

ocirc raquo aagravejumlaacute uacuteucirc thorn yuml uumlNaeuml eacutej THORN uacutefrac14 uumlOaLUcirc eacuteAgraveiquestsup1Aacutej THORN $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde auml thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afj

q centUWQR[]jYZfVmSe H MeJ7YJUbn[]O^ H JLhlZ [SX H MeJ7^eJLhQVUiN H QVUPJ afjaQcYcurrenLJLh[ YZQcObnJ H MeJJk H JLhONPf(centEgrave[]jO^NihYm aelig OumlD[SX H MeJ`QZaringN[PJaQcYkBJU^^OcircJLKfcNPbLQsO[` uumlN_WQ H MQ H YJkWKhZJUYZYQR[]OOeWNtildeJyO^Oaring

ocirc7raquo aagravejumlaacute uacuteucirc thorn yuml aduuml thorn UgraveUcircUacuteUuml yuml1 uuml thorn timesOslash yuml jaeuml eacuteHj THORN $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde auml thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afmacr]jMJUacute^JLhQVUiN H QVUPJOtilde[SXocirc cent aagravejQcY(bLfcNPYZYQcbLNPfdaring

ocirc7raquocent aagravejOcircaacute uacuteucirc thorn yuml a uuml thorn otilde)yumld huuml thorn otilde)yuml7 eacutejaeuml eacutej THORN af]jWMJLhZJ a2atildeshyszligaumlKszligYagravejQcY H MeJaumlbLjehlU~N H jehJ[SXQYacutea2atildeltszligaumlgtszligYagravej^MeJLhZJXiacute[PhZJSe H MeJOtilde^eJLhQVUiN H QVUPJ[SX H MeJgWM[]fRJOtildebnhQ H JLhQR[]O QsY H MeJordfXiacute[]fcfR[WiexclQcO[aring

ocirc raquo aagravejpoundaacute $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde aumlamp thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afzSj uacuteucirc thorn yuml aduuml thorn UgraveUcircUacuteUuml yuml uuml thorn timesOslash yuml uuml thorn otilde)yuml huuml thorn otilde)yuml eacutejaeuml eacutej THORN

^ ^~THORNUgrave2FEgraveOIgraveIcircIcirclt2EacuteltOacute Eacute0frac34ETH9Igrave8shyIgraveFEgraveEcirc+NtildeFETH3Ecirc+ltIgraveNtilde7==EacuteltEgrave7813Oacute14 ETHOEacute ETH9IgraveOacuteszligltOacuteshyEacuteOacuteAgrave+QIgraveFEumlEacuteAtilde=13ETH+ltIgrave5=KETHOEacuteshyEgravesup1euml5Oaelig[Ph^eJLh H [Tbn[]ZaringKj H J H MeJuUPJUfR[WbLQ H mUPJUb H [PhcopyeumleSWNtildeJMNUPJ H [yZ N`PJQ H NiKKEgraveJUNihyQcOH MeJhY HH WF[ ^e[]Z NPQcOaQcO H J[PhNPfcYiexcl[SX afzSjcentmJkWKhZJUYZYQcO[ H MeJZ NPY_XiacutejOb H QR[]OY[SX H MeJgUPJUfR[WbLQ H meumlQ^iexclJLhZJiexclWFJ H N`PJ H MeJ5[PJUOeJLhNPfbLNPYZJ5WiexclMeJLhZJ H MeJ^JUYZbnhQRK H [PhdYZaringNm ^eJLKEgraveJUO^ []OXiacuteJUN H jehZJUY5[]fR[PcentNPfsfVmN HH NPbMeJU^ H [ H MJtimeshJ[]QR[]OeumlNPO^eumlY[oZ Nm`^JLK=JUO^a[]O agrave^ JZOslash[W^eJUf$JUNPbdM^eJUYZbnhQRK H [PhIacuteNPYtimesNabn[]ZIacutecentQcON H QR[]OOacute[SXuXJUN H jhZJUYy[]fc[PcentNPfcfVmeumlN HH NPbMeJU^

uumlnyacutenthornnyumll13YSordmY_F

f $amp)(+-)013021+345627893lt=gt9A6CBH [ H MJOtildeJUP[]fVUBQsO[OslashhZJ[]QR[]OY_OumlcopytimesOslashKaagravejF[Ph_Ouml UgraveUacuteUuml aagravejaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejpoundaacuteAElig thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn timesOslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejszligiumlViumlViumlVszligagrave thorn timesOslash yumlaacute aagravejjuuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszligYagravejpoundaacuteAElig thorn UgraveUcircUacuteUuml yuml a2atildeltszligaumlgtszligagrave thorn UgraveUcircUacuteUuml yuml aagravejszligagrave thorn UgraveUcircUacuteUuml yumlcent aagravejszligiumlViumlViumlVszligagrave thorn UgraveUcircUacuteUuml yumlacirc aagravejjafi]j

WMJLhZJSaring agrave thorn(atilde yumlauml aacute 7aring thorn yuml5aelig thorn(atilde yumlauml a2atildeltszligaumlgtszligYagravej atilde auml WQ H Mpounda jOcircaacuteacircaVltjF[Pha Kf5 jiuml afh]j9J H jYuhY H bn[]ZOslashKj H J H MeJIacute^eJLhQVUiN H QVUPJOtilde[SXuuml thorn timesOslash yuml eFWFJgO^Oaring

aelig uuml thorn times Oslash yumlaelig agrave aacute aacuteccedilaumlegrave aelig thorn timesOslash yumlaelig agrave thorn times Oslash yumlauml a2atildeltszligaumlgtszligagrave thorn timesOslash yuml aagravejszligiumlViumlViumlVszligagrave thorn timesOslash yumlaacute aagravejj aelig agrave thorn timesOslash yumlaumlaelig agrave aagravej a s j J MNUPJOe[W H [bn[]ZOslashKj H J H MeJ ^eJLhdQVU~N H QUPJ [SXagrave thorn timesOslash yumlauml NPbLbn[Ph^QcO[ H [umlagrave^ JNiKK-fVm H MeJgMeJL[PhZJZigravefaumlNPO^WNtildeJy[PJ H aring

aelig agrave thorn timesOslash yumlaumlaelig agrave aacute $ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde auml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacutej THORN a fj

JLKfcNPbLQcO[ H MeJNtilde^eJLhdQVU~N H QUPJUY9[SX3agrave thorn timesOslash yumlauml WQ H M H MeJUQRhJkWKhZJUYZYZQc[]OYa fj9QcOa s jeSWFJ[Pcent H NPQsO H MJXiacute[]fcfR[WQcO[iexclJkBKhJUYZYZQR[]OX[Ph H MJF^e[]Z NPQcOaeligQcO H J[PhdNPf[SX H MeJ^eJLhQVUiN H QVUPJ[SX H MeJT^eJUYbnhQRK H [Ph uuml thorn times Oslash yuml aring

$ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde aumlacircaacute aacuteccedilaumlordfegrave -eacute thorn timesOslash yumlauml $ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde auml

aacuteccedilaumlordfegrave eacute thorn timesOslash yumlauml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacuteHj THORN a S jWMJLhZJSaring

eacute thorn timesOslash yumlauml aacute $ thorn yuml aelig thorn timesOslash yumlaelig agrave thorn timesOslash yumlauml a2atildeltszligaumlgtszligagrave thorn timesOslash yuml aagravejszligiumlViumlViumlVszligagrave thorn times Oslash yumlaacute aagravejj atilde auml a ]jMJIacuteJkWKhZJUYZYQR[]OwXiacute[Pha jyacuteaacute a Kf jiexclQcYbn[]ZOslashKj H JU^QsO H MeJaeligYZNSZOslashJordmZaringNPOOeJLhiexclWMQcfRJKNmBQsO[N HH JUO H Qc[]O H [ H MeJ`^QRhZJUb H QR[]O[SX H MeJ`Oe[PhlZaringNPfcopyUPJUb H [PheNPO^rWFJ H MBjY

uumlnyacutenthornnyumll13YSordmY_Fsup2

yenKbrvbarsect =4 acirc $ fmacr[Pcent H NPQsO H MeJg[PJUOeJLhNPfgJkBKhJUYZYZQR[]OXiacute[Ph H MeJauml^JLhQVUiN H QVUPJOtilde[SXocircOcircaagravejaring

ocirc raquo aagravejumlaacute uacuteucirc thorn yuml aduumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn times Oslash yuml uumlgtthorn otilde)yuml d hreguumlgtthorn otilde)yuml eacuteHjaeuml eacutej THORN aacuteccedilaumlordfegrave eacute thorn timesOslash yumlauml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacuteHj THORN acircccedilaumlordfegrave eacute thorn UgraveUcircUacuteUuml yumlauml uacuteucirc thorn yuml aelig thorn UgraveUcircUacuteUuml yumlauml aeuml eacutej THORN aacuteccedilaumlordfegrave -eacute thorn timesOslash yumlauml $ thorn yuml aelig aelig thorn

timesOslash yumlaumlaelig agrave atilde auml acircccedilaumlordfegrave eacute thorn UgraveUcircUacuteUuml yumlauml thorn yuml aelig aelig thorn

UgraveUcircUacuteUuml yumlaumlaelig agrave atilde auml a j^ ^ecirccopyEgraveEacuteshyIacuteIumlETH39shyIgrave8shyIgraveFEgraveEcirc+NtildeFETH3gt+QIgraveETHOEacute3iexclNtildeshyEgrave78QIcircETH9IgraveumlIgrave+EacuteltEumlETHshyETHEacuteshyOacuterIgrave5euml1ONtildeFETH32EacuteltOacuteEacute10wETH9Igrave Ntilde=KETH3gt+ltIgrave=EacuteshyOacuteshyETHEacute1EgraveMJ[P[]NPf[SX H MQsYampKNih H QcY H [aumlbn[]ZOslashK-j H J H MeJ(JkWKhZJUYZYZQc[]Oaelig[SX H MeJuUPJUfc[BbLQ H mUPJUb H [PheumlwWMQcbdMregZaringN`PJUY H MeJUacutebLjehYUPJJUP[]fVUPJOtildeNPYXiacuteNPY H NPYFKEgrave[]YZYZQRcent-fRJ H [WNih^Y(NZaringQcOQCZIacutejFZ[SX H MeJaeligbnhQ H JLhdQR[]Oumlocirc^KO`[Ph^eJLh H [ ^JU^jbnJ H MJyUPJUfR[WbLQ H mwUPJUb H [PhOtilde[SX H MeJaeligNPb H QVUPJbn[]O H []jehQXhZ[]Z H MeJF^eJLhQVUiN H QVUPJ0[SX H MeJNtildebnhQ H JLhQR[]OOeWFJMNUPJ H [5Z N`PJFNiKKEgraveJUNih H MeJUPJUfR[WbLQ H moUPJUb H [PhUacuteQcO H MJTfcNPY HH WNtilde[ ^e[]ZaringNPQcOaQcO H J[PhdNPfcY(centm JkWKhZJUYYZQcO[ H MeJZ NPYcentEgrave[]jO^NihYm QcO H J[PhNPfcY^FMQcYbLNPOaJUNPYZQcfVm centEgraveJauml^e[]OeJTjYZQcO[MJL[PhZJZigravefe-^[]ZaringNPQcOQcO H J[PhNPfcYbLNPOeumlNPfVWNmWYiexclcentEgraveJIacuteJkBKhJUYZYJU^ NPYcentEgrave[]jO^NihYm QcO H J[PhdNPfcY^gtiexcl[WFJUPJLheOXiacute[PhYZQCZOslashKfcQcbLQ H mSe-fcJ H jYbn[]OYZQc^eJLh H MeJaringbLNPYJUYgWMeJLhZJ H MeJUYJOslashfcNPY HH WNtilde[`QcO H J[PhdNPfcYOtildeNihZJJBjNPf H [currenLJLhZ[eOgraveWMQcbMaringMNiKKEgraveJUOYX[PhZOslash[]Y H hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhdQRK H [PhY^S5OH MN H bLNPYJSeNPbLbn[Ph^QsO[ H [ H MeJaeligQcOeJBjNPfcQ H m[SXvNPjbdMOgravemV G bdMOgraveWNih H currenSe H MeJXiacuteNPY H JUY H^eJUbnhJUNPYJa[SXocirc|aagravejOslashQcY [Pcent H NPQcOeJU^ XhZ[]Zecirca jOslashcentm bMe[B[]YZQcOF[beuml aacute ccedilyeacute WMQsbMfRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[aeligJUP[]fcj H Qc[]O JjN H QR[]OOaringaelig Yacuteaagravejaelig agrave aacuteFuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yuml uuml thorn otilde)yuml eacute aacuteccedilaumlordfegrave ETHeacute thorn timesOslash yumlauml aelig thorn timesOslash yumlauml acircccedilaumlordfegrave ETHeacute thorn UgraveUcircUacuteUuml yumlauml aelig thorn UgraveUcircUacuteUuml yumlauml lteacute a macr]jUcircX H MJ^eJUYZbnhQRK H [PhY$^e[TOe[ H ^eJLKEgraveJUO^times[]OregagravetaiacutehZJ[]QR[]OeV4QcO^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhYjeH MeJgiexcl hZJU^jbnJUY H [ H MeJordfXiacute[]fcfR[WQcO[aeligJkWKhZJUYZYQR[]OOaringaelig Yacuteaagravejaelig agrave aacuteigraveuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yumldn reguuml thorn otilde)yuml7 eacutelteacute a ]j

uumlnyacutenthornnyumll13YSordmY_FY

f $amp)(+-)013021+345627893lt=gt9A6CB JaeligbLNPO`O[ H QcbnJ H MN HH MeJtimes^eJLKEgraveJUO^eJUObnJauml[SX H MJIacute^eJUYZbnhdQRK H [PhY[]OwagraveeEgraveNPO^aY[ []OH MeJiexclbLjehYUPJJUP[]fcj H QR[]OOeQcO^jbnJUY0NP^^Q H QR[]ONPf H JLhlZaringYFQcO H MeJiexclJUP[]fcj H QR[]O JjN H QR[]O[SX H MJFNPb H QVUPJ(bn[]O H []jeh^SMeJNP^^Q H QR[]ONPf H JLhZaringYQX[]jO^IacuteQcOoa macr]jbLNPOOe[ H hZJUNP^QsfVmcentEgraveJtimes[Pcent H NPQcOeJU^ WMJUO H MeJOslash^mBONSZaringQcbLNPfampYZbMJZOslashJaringQcYOtildeQcO H hZ[W^jbnJU^eumlNX H JLh H MeJOslashbn[]ZaeligVKj H N H QR[]Oa[SX H MeJaelig^eJLhQVUiN H QVUPJaeligjYZQcO[o0jfcJLhVA9N[PhNPOF[PJIacuteJBjN H QR[]OY^MjYe-Q H QcY[SX=KhQZaringJOeJUbnJUYZYZQ H m H [TQcO H hZ[B^jbnJ H MeJ^mWONSZaringQsbLNPfeYZbMeJZaringJiexclQcO H [ H MeJbnhQ H JLhQR[]OQ H YZJUfVXiexclQcO[Phd^eJLh H [JUNPYZQsfVmsup1[PJ H H MeJUYJaNP^^Q H QR[]ONPf H JLhlZ Y QcO bLNPYJa[SXhJ[]QR[]OWV^eJLKEgraveJUO^JUO H ^JUYZbnhQRK H [PhdY^MNPO`BY H [ H MeJUYJeumlNP^^Q H QR[]ONPf H JLhlZaringYeWFJ`JUOYZjehZJH MeJordfXqNPY H JUY H JUP[]fcj H QR[]O [SX H MeJIacutebLjehYUPJ H [WNih^YiexclNZaringQcOQZIacutejZ [SX H MeJTbnhdQ H JLhQR[]OO^ JeumlbLNPO NPfcY[hZJZaringNihY` H MN H H MeJUPJUfR[BbLQ H m[SX H MeJ bn[]O H []jhQsOa macr]j bLNPOcentEgraveJ K=[]YQ H QVUPJ[PharingOeJ[]N H QVUPJS^|MQcYaeligNPO QcO H JLhZJUY H QcO[eumlKh[PK=JLh H mOacute[SXiexclhZJ[]QR[]OWVcent-NPYJU^NPb H QVUPJ bn[]O H []jehY^ q O H MeJ bn[]O H hNihYm H [ centEgrave[]jO^NihYmVcentNPYJU^7NPb H QVUPJ bn[]O H []jehdYehZJ[]Qc[]OWVcentNPYJU^7NPb H QVUPJbn[]O H []jehYOslashNPfcfR[WYZ[]ZOslashJKNih H Ytimes[SX H MeJ bLjehYUPJ H [YZMehQsO`WMQcfRJ[ H MeJLhY(JkWKNPO^O^FMjY H MeJaumlQcOQ H QsNPfcQVcurrenUN H QR[]O QcYfRJUYYbn[]OY H hNPQsOeJU^O^^ macr^iexclEacuteltIacuteETHNtildeFETHEacuteshyOacute Eacute10wETH9IgraveumlIgravesup1+shyEacuteltEumlETHETH3EacuteshyOacuterIgrave5euml1ONtildeFETH32EacuteltOacute0EacuteltEgravexIcircEacuteshyIacute5IgraveIgrave2shyNtildeshyIacuteEumlOgraveIgraveIcirclaquoEacute10C8ltIgraveIcircd=KEgrave(ETHEacuteltEgraveIcircMJu[P[]NPf[SX H MQsY$KNih H QsY H [timesbn[]ZaringKj H J H MeJiexclJUP[]fcj H QR[]O JjN H QR[]Oaring[SX H MeJNPb H QVUPJbn[]O H []jehOcircXiacute[Ph0Y[]ZOslashJ(JkeNSZOslashKfcJUY$[SX-hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhY^SgJ H jY H N`PJY[]ZaringJT^eJUYZbnhQcK H [PhY(^eJLKEgraveJUO^QsO[aelig[]O H MeJyZOslashJUNPOBSOtimesOslash [Phiexcl[]O H MeJgUiNihQcNPObnJjuFtimesOslash [SXH MeJOtildeJUP[]fUBQcOF[OslashhZJ[]QR[]OwOumlcopytimesOslashaagravejaringEFFG FFH SOtimesOslashKaagravejumlaacute iacute $ w$ thorn yuml Otilde atilde auml WiexclQ H M icirctimesOslashaacute w$ thorn yuml atilde aumlu centtimes Oslash aagravejsup1aacute iacute $ w$ thorn yuml aOtilde SOtimes OslashKaagravejj cent atilde auml^ macr^f^iumlordfcentltshyltAringordfregethIumlIgravecurrenRAringcentmicroETHfrac34IumlltlaquomicroRreglaquoNOacute]currenRlaquosectsup1jCcedilR RAringordfregL Rlaquo3shy JTbdMe[B[]YJ H MeJgXiacute[]fcfR[WQcO[OslashYJ H [SX^eJUYbnhQRK H [PhYaring

uuml thorn UgraveUcircUacuteUuml yuml ^e[BJUYOe[ H ^eJLKEgraveJUO^[]Owagraveuuml thorn timesOslash yuml aacutecntildeaLuOcenttimes Oslash j a zSjWMJLhZJampntildeaOgravejQsYNOslashKEgrave[]YZQ H QVUPJiexclXqjOb H QR[]O[SX$bLfcNPYYograve aj^MQcYiexclUPJUfR[WbLQ H mumlUPJUb H [PhOslashQcYaumlbn[]ZaringKj H JU^centmeumlhZJLKfcNPbLQsO[ H MeJ H JLhZaringYauml[SXga jgWQ H MH MeJUQch$JkBKhJUYZYZQR[]OY^ J hY H JkWKhZJUYZY H MeJ^eJUYZbnhQcK H [Ph|uuml thorn timesOslash yuml NPYyNTbn[]ZTcentQsON H QR[]O[SXamp^e[]ZaringNPQcOY(QcO H J[PhdNPfcYaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacutemiddot thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn timesOslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejjaacutecntildeoacute agrave thorn timesOslash yuml aagravejagrave thorn timesOslash yumlcent aagravejfocirc a i]j

uumlnyacutenthornnyumll13YSordmY_FPa

yenKbrvbarsect =4 acirc $ fzWMJLhZJSaring EFFG FFH agrave thorn timesOslash yuml aagravejpoundaacute w$ thorn yuml aOtildegta2atildeltszligaumlj SOtimes OslashaagravejjUcirccent atilde aumlagrave thorn timesOslash yumlcent aagravejpoundaacute w$ thorn yuml atilde auml a h]j O^ H MBjYaring aelig thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacuteacircaOtildeKa2atildeshyszligaumlFj S timesOslash aagravejjUcirccentaelig thorn timesOslash yumlcent a2atildeshyszligaumlKszligYagravej|aacute f ad s j Y5XiacuteNihaumlNPY H MeJOslash^e[]Z NPQcO`QsO H J[PhNPfsYUacute[SX H MeJOslash^eJLhQVUiN H QVUPJaelig[SX H MJXqjOb H QR[]OY aelig thorn timesOslash yumlaumlNihZJaumlbn[]ObnJLhOeJU^OeFWFJauml[Pcent H NPQsOOaringEFFFG FFFH w5$ thorn yuml frac14ltotildeouml $_divideoslashfrac14 atilde aumlordmaacute frac14ltugrave $frac14 w$ thorn yuml aOtildeKa2atildeshyszligaumlFj SOtimesOslashKaagravejj atilde aumlaacute sw5$ thorn yuml frac14ltotilde ouml $_divideacircfrac14 atilde aumlordmaacute s adfjMJ H JLhZaringY eacute thorn timesOslash yumlauml NPfcY[aringMNUPJ H [ cent=Jaumlbn[]ZaringKj H JU^OeNPO^tWNtildeJg[PJ H aringEFFFG FFFH eacute thorn

timesOslash yuml aacute w$ thorn yuml uacute ouml $_divideacircntilde raquo7ucirc uacute ouml $_divideoslashuacute ouml $_divideacircyacuteuuml atilde aumlaacutecntilde raquo aLu centtimesOslash jeacute thorn timesOslash yumlcent aacute w$ thorn yumlBthorn uacute ouml $_divideoslashthorn uacute ouml $_divideacirc yuml acirc ntilde raquo ucirc uacute ouml $_divideoslashuacute ouml $_divideacirc uuml atilde aumlregaacute u centtimes Oslash ntilde raquo aLu centtimes Oslash j

G QsObnJ H MeJOslash^e[]Z NPQcO`QsO H J[PhNPfsYiexcl[SX frac14ltotildeouml $ordfdivideoslashfrac14 NPO^ frac14ltotildeouml $_divideacircfrac14 NihZJaeligJBjNPf H [currenLJLhZ[poundadfjeWFJOtildebLNPO ^QRhZJUb H fVm bn[]ZOslashKj H J H MeJiexclUPJUfR[WbLQ H mregUPJUb H [Ph[SX H MeJOtildeNPb H QVUPJTbn[]O H []jehuXiacutehZ[]Za macr]jNPO^WNtildeJyO^Oaringaelig Yacuteaagravejaelig agrave aacuteuumlgtthorn timesOslash yuml uumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn otilde)yuml dacute uumlgtthorn otilde)yuml eacutentilde raquo aLu centtimes Oslash jaaOtilde SOtimesOslashj cent u centtimesOslash jcedilQeacute ad j5Otad jeOgraveWFJbLNPOaringhJZaringNihY` H MeJ(KhZJUYJUObnJ[SX H MJNP^^Q H QR[]ONPf H JLhlZntilde raquo aLuOcenttimesOslash jaaOtilde SOtimesOslashj cent u centtimesOslash jeacuteacirc^^ macr^ ^iumlordfcentltshyltAringordfregethIumlIgravecurrenRAringcentmicroETHfrac34IumlltlaquomicroRreglaquoNOacute]currenRlaquosectsup1jpoundn Rlaquo JTbdMe[B[]YJ H MeJgXiacute[]fcfR[WQcO[OslashYJ H [SX^eJUYbnhQRK H [PhYaring uuml thorn UgraveUcircUacuteUuml yuml ^e[BJUYOe[ H ^eJLKEgraveJUO^[]Owagraveuuml thorn timesOslash yuml aacutecntildeaOtilde S timesOslash aagravejj adS]j

uumlnyacutenthornnyumll13YSordmY_FPo

fi $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJampntildeaOgravejQsYNOslashKEgrave[]YZQ H QVUPJiexclXqjOb H QR[]O[SX$bLfcNPYYograve aj^ YKhZJUWQR[]jYZfVmSe H MeJlaquoUPJUfR[WbLQ H mfrac34UPJUb H [PhTQcYbn[]ZOslashKj H JU^eumlcentmhZJLKfsNPbLQcO[ H MJ H JLhZaringY[SXua jcopyWQ H M H MeJUQRh(JkWKhZJUYZYZQc[]OY^FMeJauml^JUYZbnhQRK H [Ph uuml thorn timesOslash yuml QcY(JkWKhZJUYZYJU^centmKaringuuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacutei thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn times Oslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejjaacutentildeoacuteOtilde agrave thorn timesOslash yuml aagravejagrave thorn timesOslash yumlcent aagravejfocirc adj

WMJLhZJSaring EFFG FFH agrave thorn timesOslash yuml aagravejpoundaacute w5$ thorn yuml Otildegta2atildeltszligaumlj atilde aumlagrave thorn timesOslash yumlcent aagravejpoundaacute w5$ thorn yuml atilde auml adSmacr]j O^ Y[aring aelig thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejOcircaacuteegraveOtildegta2atildeltszligaumljaelig thorn timesOslash yumlcent a2atildeshyszligaumlKszligYagravejOcircaacute f adS]jG QsObnJ H MeJordfXiacutejOb H QR[]OY aelig thorn timesOslash yuml NPO^ aelig thorn timesOslash yumlcent ^e[aringO[ H ^eJLKEgraveJUO^[]OtagraveeFWFJTMNUPJSaringEFFFG FFFH w$ thorn yuml frac14ltotilde5ouml $ordfdivideoslashfrac14 atilde aumlregaacute s

w$ thorn yuml frac14ltotilde5ouml $ordfdivideacircfrac14 atilde aumlregaacute s ad]zSjMJ H JLhZaringY eacute thorn timesOslash yumlauml NihZJ H MJUObn[]ZOslashKj H JU^eNPO^WFJauml[Pcent H NPQcOOaringEFFFG FFFH eacute thorn

timesOslash yuml aacute w$ thorn yuml thorn uacute ouml $ordfdivideacircntilde raquo7ucirc Otilde uacute ouml $ordfdivideoslashuacute ouml $ordfdivideacircyacuteuuml atilde aumlaacute thorn iacute $ w$ thorn yuml ntilde raquo aOtilde SOtimesOslashj atilde aumleacute thorn timesOslash yumlcent aacute w$ thorn yuml uacute ouml $ordfdivideoslashthorn uacute ouml $_divideacirc yuml acirc ntilde raquo ucirc Otilde uacute ouml $ordfdivideoslashuacute ouml $ordfdivideacirc uuml atilde aumlordmaacute ugrave $iacute $ w$ thorn yuml ntilde raquo aOtilde SOtimesOslashj atilde auml JUacutebLNPO H MeJUObn[]ZOslashKj H JUacute^QRhZJUb H fm H MJ_UPJUfR[WbLQ H mUPJUb H [Ph[SX H MeJUacuteNPb H QVUPJOtildebn[]O H []jhXiacutehZ[]Zigravea macr]j(NPO^WNtildeJyO^Oaringaelig Yacuteaagravejaelig agrave aacuteuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yumldacute uuml thorn otilde)yuml eacute aOtilde SOtimesOslashjicircFtimesOslash $ thorn yuml ntilderaquo)aOtilde SOtimesOslashjmiddotQeacute adSi]j

5O H MeJtimesKNih H QsbLjfcNihiexclbLNPYZJIacute[SXIcircntildeaOgravejuaacuteOslashScenteKWFJtimesMNUPJnntilde raquo aOgravejcopyaacute NPO^ H MeJLhZJXiacute[PhZJSeH MeJiexclNP^^Q H QR[]ONPf H JLhlZaringYebn[]ZaringQcO[gXiacutehZ[]Z H MeJ UiNihQcN H QR[]O [SX H MeJiexcl^eJUYbnhQRK H [PhYOcircWQ H MagraveeNihJJjNPf H [gcurrenLJLhZ[^[WNtildeJUPJLheWQsOordmZOslash[]Y H bLNPYZJUYe H MQsYyNP^^Q H Qc[]ONPf H JLhlZoslashQsYyOe[ H

uumlnyacutenthornnyumll13YSordmY_FPy

yenKbrvbarsect =4 acirc $ fhcurrenLJLhZ[^ not [PhaeligJkeNSZOslashKfRJSeampQVXUgraventildea]jaacute yuml Wiexcl cent eshyWiexclQ H MN`KEgrave[]YZQ H QVUPJ bn[]OY H NPO H eQWFJMNUPJSaring

ccedil aacuteFuumlgtthorn timesOslash yuml uumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn otilde)yuml uumlgtthorn otilde)yuml eacute aOtilde SOtimesOslashjicircFtimesOslash $ thorn yuml aOtilde SOtimesOslashj IcircAumlaOtilde SOtimesOslashj cent adSh]j^ ^~IacuteFEumlIgraveFIacute5IgraveFOacuteETHNtildeFETHEacuteshyOacuteAgraven13ETH9 ETH9IgraveumlEumlIgravesup1+ltIgraveFEumltIcircIgraveFETHbIacute5IgraveFETH9shyEacute18 YXqNih0NPY H MeJOBjFZOslashJLhdQcbLNPfeQZOslashKfcJZOslashJUO H N H Qc[]OtimesQsYybn[]ObnJLhOeJU^eSWNtildeJbLNPOZOslash[W^eJUf H MeJNPb H QVUPJaumlbn[]O H []jeh_WQ H MNPOJkBK-fcQcbLQ H KNihNSZOslashJ H JLhdQVcurrenUN H QR[]ObaN[PhNPO[]QcNPOXiacute[PhlZtimesjfcN~VH QR[]OKjaelig[Ph NPO QCZOslashKfcQcbLQ H []OeJraNtildejfRJLhQsNPO Xiacute[PhlZIacutejfcN H QR[]Ogtj^ G JLJra G J H MQcNPOOe5fhSh s jNPO^egraveaJUfcQcO[PJ HH J NPO^ _a[]O H N[]ON H e sSs fjX[PhaeligNPOQcO H JLhZJUY H QcO[eumlbn[]ZOslashKNihdQcY[]OcentEgraveJ H WFJLJUO H MeJ H WNtilde[ZOslashJ H M[B^Y^ iexclO[ H MeJLhOtildeQcO H JLhJUY H QcO[aringhJUBQRJW[]O H MeJtimes^Q=JLhJUO HZOslashJ H M[B^Y[SX$NPb H QVUPJIacutebn[]O H []jehQcY(Kh[PK=[]YZJU^ QcOpoundaw_[]O H N[]ON H J H NPfd^Ve sSs fj^iexclJLhZJSeWFJaumljYJ H MeJaumlfRJUPJUfYZJ H ZOslashJ H Me[W^ NiKKhZ[]NPbdM KhZ[PKEgrave[]YJU^centm q YMeJLhNPO^G J H MQcNPOa q YZMJLh NPO^ G J H MQcNPOe fhSiSi]j centj H hJ[]QR[]OWVcentNPYJU^ NPb H QVUPJeumlbn[]O H []jehdYZaringNmNPfcYZ[ centEgraveJQZOslashKfcJZOslashJUO H JU^7centmjYQcO[`XNtildeV4YK-fcQcOeJUYXiacute[PhaeligNPOJkWKfcQsbLQ H K-NihNSZOslashJnVH JLhQcurrenUN H QR[]O ayhZJUbLQc[]Y[ NPO^XNihfcNPj^Oe sSs fj^shyMJ`PJmeumlQc^eJUN [SX H MeJOslashfRJUPJUfampYJ HZOslashJ H M[B^QsY H [ QcO H hZ[W^jbnJaumlNPO`NPjkWQsfcQcNihYmXiacutejOb H QR[]O l a2atildeltszligaumlgtszligYagravejYZjbdM H MN H YacuteaagravejQcY H MJtcurrenLJLhZ[OacutefRJUPJUfYJ H [SX l ^OcircMJXiacutejOb H QR[]O l QsYaelig[SX H JUO bMe[]YJUO H [centEgraveJ H MeJYZQ[]OeJU^ ^QcY H NPObnJordfXiacutejOb H QR[]O[SXQYacuteaagraveje-NPO^ QsY H MeJUObdMNihNPb H JLhQVcurrenLJU^acentmKaring

YacuteaagravejOcircaacute a2atildeltszligaumljPO l a2atildeshyszligaumlKszligYagravejaacute s a2 s jMQcYOcirc0jfRJLhQcNPOordmXiacute[PhlZtimesjfcN H QR[]O KhZJUYZJUO H YFYJUPJLhNPfEgraveNP^UiNPO H N[PJUYga G J H MQcNPOOeKfhShS]j^not QRhY H fVmSe H MeJabLjehYUPJ l ZaringNmcenthJUN`[PhoZOslashJLhY[PJNPY H MJXiacutejOb H QR[]O l JUP[]fUPJUYeNPO^ H [PK=[]fc[S[]QcbLNPfbdMNPO[PJUYFNihZJ H MBjY$JUNPYZQsfVmOslashMNPO^fRJU^^ G JUbn[]O^fVmSe H MJJUP[]fVUWQcO[XqjOb H QR[]O l a2atildeshyszligaumlKszligYagravejNPfVWNmWY(hZJZaringNPQcOY(NlaquoXiacutejOb H QR[]O NPfcfR[WQcO[timesJltz bLQRJUO H OBjFZOslashJLhVQcbLNPfFYZbdMeJZOslashJUY^OcircMQRh^fVmSe H MeJ[PJL[]ZOslashJ H hQcb KhZ[PKEgraveJLh H QcJUYT[SX H MeJ bLjehYUPJSe$fcQV`PJ H MeJbLjehlU~N H jehJ NPO^ H MeJOslashOe[PhlZ NPfshyUPJUb H [PhordfJUfs^eacute e=bLNPO centEgraveJIacuteJUY H QZaringN H JU^euml^QRhZJUb H fmXiacutehZ[]Z H MeJTfcJUPJUfgYJ H XqjOb H QR[]Oaring aacute V ucirc l l uuml NPO^ eacuteecircaacute l l a2FfjMJJUP[]fsj H QR[]O JBjN H QR[]O H MeJUO centEgraveJUbn[]ZOslashJUYaringaelig l aagravejaelig agrave aacuteegraveccedilacute l a2 jMJregUPJUfR[WbLQ H msup1XiacutejOb H QR[]OxccedilEQcYIacutebn[]ZaringKj H JU^7[]OfVm[]O H MeJbLjehYUPJYacuteaagravejaumlcent-j H WFJbLNPO Jk H JUO^ Q H YFJkBKhZJUYZYZQR[]O H [ H MeJiexclWMe[]fRJUacuteQZaringN[PJOtilde^e[]Z NPQcOoOumlordf^[OslashQZOslashKfRJZaringJUO HH MeJIacutefRJUPJUf9YJ H ZOslashJ H Me[W^OeY[]fsj H QR[]OYuZtimesjY H centEgraveJgXiacute[]jO^ H [ bLQRhbLjZyUPJUO H Kh[PcentfRJZaringY

uumlnyacutenthornnyumll13YSordmY_FP

s $amp)(+-)013021+345627893lt=gt9A6CBbn[]ZaringQsO[ Xh[]Z H MeJpoundXqNPb HH MN H`H MeJYZQV[]OeJU^ ^QcY H NPObnJumlXqjOb H Qc[]O l QcYaOe[ H NY[]fsj H QR[]O[SX H MeJyiexcl a2 jeEgraveYJLJa []ZOslashJUYNPO^ not NPjF[PJLhNPYe sSsSs jyacuteXiacute[Phiexcl^J H NPQcfcY^5Oaelig[]jehWF[PhY`gte H MJuXiacutejOb H QR[]O l QcYamphZJUQsOQ H QcNPfcQcurrenLJU^TY[ H MN H Q H hZJZaringNPQcOYampNOtilde^QsY H NPObnJXqjOb H QR[]OenYZJLJ5aq jecentEgraveJLh H NPO^gcOtilde[PhdOeKhZ[PcentY H e sSs fJLcenthZJUjFUPJSe sSsSs jOXiacute[Ph^J H NPQcfcY[]O H MJOtildehZJUQcOQ H QsNPfcQVcurrenUN H QR[]O JBjN H QR[]OO^5Oeuml[Ph^eJLh H [QCZOslashKhZ[UPJaringOjFZaringJLhQcbLNPfJltz bLQRJUObmSeOWFJaringbn[]ZOslashKj H J H MeJOslashJjN H QR[]O[]O NIacuteONihhZ[Wcent-NPO^aringJUObLfc[]YZQcO[ H MJiexclfRJUPJUf s [SX H MeJUacutefRJUPJUf-YJ H XqjOb H Qc[]OO^ JUacuteNPfcY[jYZJZtimesjf H QRhZJUYZ[]fcj H QR[]O H JUbdMOQBjeJUYcentmZaringN`BQsO[ H MeJFNPb H QVUPJ(bn[]O H []jh$JUP[]fVUPJcopyhY H[]ONOslashfc[W hZJUYZ[]fcj H QR[]O QZ N[PJS^FMeJordfONPfbn[]O H []jeh[Pcent H NPQcOeJU^Xiacute[Ph H MQcYhJU^jbnJU^QZ N[PJaumlQcY H MeJUOjYJU^ NPYNPOQsOQ H QcNPfEgravebLjehYUPJordfXiacute[Ph H MJOtildehZJUNPfgYZQVcurrenLJaumlQCZaringN[PJS^

EparaacuteAgravegtmicrosup1acuteIKJcedilJT2MgtI MraquowMgtmicrosup1MAgravegtacuteIltacuteMgtPltAtilde iquest acuteAgravegtT2MKIshyAtildeAcirccedilAtildeacuteNicircMgtI cedilAEligMgtmicroOcircacuteOgraveJTCJT13MKI sup2OcircacuteJordfsacuteacuteI Jfrac14ltacutegcedilFLT2cedilIshyROgraveacuteAtilderaquoAMLBqoLacute13AtildeR]cedilsup32acute GmicrobcedilAgraveacuteAtilde5O H MQcYUacuteYJUb H QR[]OOeOWFJOslashKhZ[PKEgrave[]YJaeligY[]ZOslashJOslashhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhY H [YJ[iVZOslashJUO H M[]ZOslash[S[PJUOeJL[]jYiexclhZJ[]QR[]OYiexcl[]Ofrac34[PhZJmBYbLNPfRJIacuteQZ N[PJUY^gtMJUYJIacute^eJUYbnhQRK H [PhYiexclNihZJcentNPYZJU^[]O H MJZaringQcOQZaringQVcurrenUN H QR[]O [SX H MeJU~NihdQcNPObnJUYauml[SX H MJ H WF[`bn[]OYZQc^eJLhZJU^OacutehZJnV[]QR[]OY^ 5O H MJ7YJUbn[]O^ K-Nih H e H MJQZOslashKEgrave[Ph H NPObnJOacute[SX H MeJNP^^Q H QR[]ONPf H JLhZaringYebn[]ZaringQsO[XiacutehZ[]Z H MeJiexclU~NihdQcN H QR[]O [SX H MeJUacute^eJUYZbnhQcK H [PhYWQ H M H MeJiexclJUP[]fUBQcOF[IacutehZJ[]Qc[]OYeQcY9MQV[]MfcQ[]M H JU^O^ G QCZOslashKfRJJkWNSZaringKfRJUY9YMe[W H MeJ0QZOslashKEgrave[Ph H NPObnJ$[SX H MeJUYJ0NP^^Q H QR[]ONPfH JLhlZ Y H [ NPbMQRJUPJ H MeJOtildeJkWKEgraveJUb H JU^aYJ[]ZaringJUO H N H QR[]O^^f^laquoIgraveIcirc=KEgrave(FETHOEacuteltEgraveIcircEcircgtNtildeltIcircIgrave8 EacuteshyOacute ETH9Igravek+NtildeshyEgrave13NtildeshyOacute=KIgraveC0EacuteshyEgraveh4ltEgraveOIgravesup1QIcirc=NtildeltEumlOgraveIgrave2Iacute Ntilde4ltIgraveIcircMJQcO H JUOYZQ H mregXiacute[Phu[PhZJmWYZbLNPfRJaumlQZ N[PJUY(QcYhZJLKhZJUYZJUO H JU^centm NlaquoXqjOb H QR[]OOtilderegaringOgraveOumlOtilde 13ordfcentwntilde Otilde 13laquo^ JaKhZ[PKEgrave[]YJ H [bZaringQcOQZaringQVcurrenLJ H MeJU~NihdQcNPObnJUYOslash[SX H MeJ H WF[bn[]OYZQc^WVJLhZJU^ Me[]Zaring[S[PJUOeJL[]jY hZJ[]Qc[]OY QcO [Ph^eJLh H [YJ[]ZOslashJUO H H MeJZ^uMJXiacute[]fcfR[WQcO[^eJUYbnhQRK H [PhY(NihJaumlYZj[S[PJUY H JU^OaringEFG FH uuml thorn UgraveUacuteUuml yuml aacutecntildeaLuOcentUgraveUacuteUuml juuml thorn times Oslash yuml aacutecntildeaLuOcenttimes Oslash juuml thorn otilde)yuml aacutecb a2Ograve]jWMJLhZJjntildea]jQcYNOslashKEgrave[]YZQ H QVUPJordfXiacutejOb H QR[]O [SX$bLfcNPYZYEacuteograve aOtilde 13yj(NPO^kb`NOslashKEgrave[]YZQ H QUPJaumlbn[]OWVY H NPO H ^MJTbn[]ZOslashKj H N H Qc[]O[SX H MeJUPJUfR[BbLQ H mUPJUb H [PhaumlQcY^JU^jbnJU^tXiacutehZ[]Z H MeJIacutebn[]ZOslashK-j H N~VH QR[]O`[SX H MeJaelig^eJLhQVUiN H QVUPJIacute[SX H MeJtimesbnhdQ H JLhQR[]Opoundocirc7^eJUPJUfR[PKEgraveJU^ QcO G JUb^^ macr^feWMQsbMfRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[aeligJUP[]fcj H Qc[]O JjN H QR[]OOaringaelig Yacuteaagravejaelig agrave aacuteethntildeaLu centtimesOslash j ntildeaLu centUgraveUcircUacuteUuml jb ntilderaquo)aLu centtimesOslash jaaOtilde S timesOslash j cent u centtimesOslash j ntilde raquo aLu centUgraveUcircUacuteUuml jaaOtilde SUgraveUcircUacuteUumlj cent u centUgraveUacuteUuml jIcirc13eacute a2Sj

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ fMJiexclYZQcOF[]fRJiexclK-NihNSZOslashJ H JLhcopyWNtildeJOtildeOeJLJU^ H [aringNP^~ZjY H QcY H MeJUacuteYYZOslash[B[ H MQcO[timesKNihNSZOslashJ H JLhb^5OregXqNPb H e H MeJ X [W ethb MNPY H MeJiexclKhZ[PKEgraveJLh H QRJUYNtilde[SXYYZOslash[B[ H MQcOF[IacutecentEgraveJUbLNPjYJOtildeQ H ZOslash[UPJUYH MeJUacutebLjehYUPJUacuteQcO H MeJUacute^QRhZJUb H QR[]O [SX9Q H YfRJUOF[ H MregXqjOb H QR[]ONPfQa G Qs^^QBQeJ H NPfd^VeOfhShS]j^^ ^~IacuteEacuteltEgraveETHOgraveNtildeltOacute=KIgravefrac34Eacute10frac34ETH9Igrave Ntilde8182ETHEacuteshyOacuteNtildeshyEumlETHIgraveFEgraveOIacute5Icirc5O[Ph^JLh H [7JU~NPfcjN H J H MeJ QZOslashKEgrave[Ph H NPObnJ`[SX H MeJ`NP^^Q H QR[]ONPf H JLhlZaringYX[Ph H MeJYJ[]ZaringJUO H N H QR[]OeuWNtildeJpoundZaringN`PJ H MJeumlNPb H QUPJbn[]O H []jehaJUP[]fVUPJ H MehZ[]j[]M H MJ iexcla2SjeQsObLfcj^QsO[ H MeJaumlNP^^Q H QR[]ONPf H JLhlZaringY^ q O H MeJUacute[ H MeJLhMNPO^OeWNtildeJaumlNPfcYZ[ZaringN`PJQ H JUP[]fUPJfrac34WQ H M H MeJwXiacute[]fcfR[WQcO[ WhZ[]OF[JUP[]fcj H QR[]OJjN H Qc[]O H MN H ^e[JUY Oe[ HQcObLfcj^eJ H MeJaumlNP^^Q H QR[]ONPf H JLhlZaringYaringaelig Yacuteaagravejaelig agrave aacuteethntildeaLu centtimesOslash j ntildeaLu centUgraveUcircUacuteUuml j`b Qeacute iuml a2Ogravemacr]jnot [Ph H MeJOtildeJkWKEgraveJLhQZOslashJUO H YeWFJ H N`PJntildeaOgravejOcircaacute ILK KafcediliexclOgravejWMQsbM[]QVUPJUYntilde raquo aOgravejaacutefdOafcedil]j(NPO^ H MeJgUiNPfcjeJOtilde[SX H MeJaumlKNihdNSZOslashJ H JLhEacutebaQcY(YJ HH [frac34f s ^OcirckBKEgraveJLhQCZOslashJUO H Y NihZJ KEgraveJLhYX[PhZOslashJU^ []O NYmWO H MJ H Qcb`QCZaringN[PJumlZaringNP^eJeumljeK [SXTNPO

Me[]Zaring[S[PJUOeJL[]jYYYBjNihZJ[SX9QcO H JUOYZQ H mwf s []O NIacutecentNPbl`[PhZ[]jO^ [SX9QcO H JUOYZQ H mtf s ^ []NPjYZYZQsNPOOe[]QcYJUacute[SXUiNihQcNPObnJ s QcY(NP^^eJU^ H [ H MQcY(YmWO H MJ H QcbOtildeQZaringN[PJS^MeJOtildeJUP[]fcj H QR[]Oa[SX H MeJTNPb H QVUPJtimesbn[]O H []jehUacute^ehQUPJUOcentmpounda2SjQcYu[]QVUPJUO`QcO not QV[^ WMQcfRJ H MeJ[]OeJ`[Pcent H NPQcOeJU^ jYZQcO[ a2Ogravemacr]j QcYordm[]QUPJUO QcO not QV[^ ^ J bLNPO hZJZaringNihY`H MN H WMeJUO H MeJoiexclQsObLfcj^eJUY H MJ NP^^Q H QR[]ONPf H JLhZaringYe H MJ YYBjNihZJ QcYgWFJUfcfYJ[]ZaringJUO H JU^acirca not QV[^ ^bjeuWMeJLhJUNPYWiexclMeJUO H MeJ |iexclD^e[BJUY Oe[ H QsObLfcj^eJ H MeJUYJNP^^Q H QR[]ONPf H JLhZaringYwWFJ7[Pcent H NPQcO N bLQRhbLfcJOacuteQcOY H JUNP^ [SX H MeJ7JkBKEgraveJUb H JU^YYBjNihZJa not QV[^ ^bj^MeJUYJhZJUYZjf H YNtildebLNPOcentEgraveJcentEgraveJ HH JLh(jO^eJLhY H [[W^WMQcfRJNPONPfmcurrenUQcOF[ H MeJiexclUPJUfR[WbLQ H mUPJUb H [PhYUacute[SXNtildeJUNPbMJUP[]fsj H QR[]O JjN H QR[]OO^ Jaringbn[]ZOslashKNihZJ H MeJ H WF[ JUP[]fcj H QR[]OYiexcl[SXH MeJlaquoUPJUfR[WbLQ H mwUPJUb H [PhYauml^jehQcO[ H MeJaeligKhZ[PKN[]N H Qc[]Oeuml[SX H MeJOslashbLjehYUPJwa2WiexclQ H Me[]j HH MeJcentEgrave[]jO^NihYmVcent-NPYJU^ H JLhlZb j^MeJ(JUP[]fcj H Qc[]OOslash[SX H MeJNSZOslashKfsQ H j^eJ[SX H MeJyacuteUPJUfR[Wb|VQ H mregUPJUb H [Ph[SXQ|iexcla2SjFQsY[]QUPJUO QcO not Q[aqYj^ ^ ^OecurrenJSe Xfrac34]eWMQsfRJ H MeJOtildeNSZOslashK-fcQ H j^eJ[SX H MeJUPJUfR[WbLQ H mwUPJUb H [PhOtilde[SX||iexclacirca2Ogravemacr]jiexclQcY []QUPJUO`QcO not QV[aqYj^ ^ ^OecurrenJSe Xfrac34]^ JOslashbLNPO[PcentYZJLhYUPJ H MN HaringH MeJUPJUfc[BbLQ H msup1WiexclQ H Me[]j HaeligH MeJNP^^Q H QR[]ONPf H JLhlZaringY QcYaeligNbn[]OY H NPO HWMJLhZJ [PcentUWQR[]jYfVm H MJaQZaringN[PJfrac34XJUN H jehJUY ^e[OacuteO[ H NiKKEgraveJUNih^ q O H MeJabn[]O H hNihYmH MeJaumlQCZaringN[PJordfXJUN H jhZJUYuWFJUfcfNiKKEgraveJUNihQcO H MeJordfUPJUfR[WbLQ H m QcObLfcj^QcOF[ H MeJaumlNP^^Q H QR[]ONPfH JLhlZ Yya not QV[aqYj^ ^ ^OecurrenJSe Xfrac34jiexclNPO^ Y[ H MeJaumlYljNihJTbLNPO centEgraveJordfWNtildeJUfsfYJ[]ZOslashJUO H JU^O^MeJyKhZJUWQR[]jYEgravehJUYZjf H YgYMe[W H MN H Q H QcY[SXeKhQCZOslashJ$OeJUbnJUYZYZQ H m H [ H N`PJQcO H [NPb|Vbn[]jO H0H MJNP^^Q H QR[]ONPf H JLhZaringYeWbn[]ZaringQcO[XhZ[]Z hZJ[]QR[]OeV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhYeQcO[Phd^eJLh H [ hZJUNPbdMaN H hdjeJgZaringQcOQCZIacutejFZ [SX H MeJaumlbnhQ H JLhdQR[]OO^

uumlnyacutenthornnyumll13YSordmY_F

S $amp)(+-)013021+345627893lt=gt9A6CBEIumlparaacuteAgravegtmicrosup1acuteIKJcedilJT2MgtI MraquoordfAEligMgtsup32MLwMKmicrobMgtAgraveacuteIshyacuteMgtPltAtilde iquest acuteAgraveKT13MKIshyAtildeAcirclaquocedilFAtildeacuteNicircMKIJfrac14ltacutepoundAEligMAringcedilFLT2cedilIltR]acuteHcedilJLTOcircfrac12sup3T13ROgravecedilJT2MgtI JMAgraverltcedilFR]acuteacuteJacuteR]JT2MgtIicircT2ItT2NQacuteM paraacutePshyacuteIltR]acuteAtildeMQcY0K-Nih H ^eJUNPfcYWQ H M H MeJOtildeYJ[]ZOslashJUO H N H QR[]O [SXMe[]ZOslash[S[PJUOeJL[]jY(hZJ[]QR[]OYQcOZtimesjfuVH QcYZK=JUb H hdNPfQZaringN[PJUY^ YNPOaJkWNSZaringKfRJSeWFJIacuteYZMe[W H MN HiexclH MeJTbn[UiNihQcNPObnJZaringN H hQVkbLNPOacent=JIacuteNUPJLhYm KEgrave[WFJLhYXqjf H [B[]f H [ YJ[]ZOslashJUO H Me[]Zaring[S[PJUOeJL[]jYbn[]fR[PhiexclhJ[]QR[]OY^F5OXqNPb H e H MeJtimes^eJ H JLhlZaringQsONPO H [SX H MeJTbn[U~NihQsNPObnJZ N H hQkKhZ[UPJUY H [ centEgraveJIacuteNaringhJUfRJU~NPO Hbn[]fR[PhaelighZJ[]Qc[]O7M[]ZOslash[S[PJUOeJUQ H msup1ZOslashJUNPYZjhZJZOslashJUO H a G NPO[SWQcOeJ NPO^r[PhdOeJSeufhShSi]j^_`QcOQZ QVcurrenUQcO[ H MQcYjNPO H Q H m ZOslashJUNPOY H MN H WFJwWNPO HH [^eJUbnhZJUNPYJ H MeJeumlbn[]ZaeligVKfcJkWQ H m[SXUacuteNeumlhZJ[]QR[]Oa hdNmJ H NPfd^Ve sSs fampN H JUjke sSsSs j^MQcY H [B[]fuZaringNmKhdNPb H QcbLNPfcfVm cent=JaumljYJU^X[Ph XiacuteNPbnJtimes^eJ H JUb H QR[]OaQsO QZaringN[PJaumlYJBjeJUObnJUY^macr^f^laquoIgraveIcirc=KEgrave(FETHOEacuteltEgraveIcircEcircgtNtildeltIcircIgrave8 EacuteshyOacute ETH9IgraveAgrave=Eacute3+NtildeshyEgrave13NtildeshyOacute=KIgravefrac34Iacute_NtildeFETHEgraveEcirc20EacuteshyEgrave=EacuteshyEumlEacuteshyEgrave2Iacute Ntilde4ltIgraveIcircMJQcO H JUOYZQ H mxXiacute[Ph bn[]fR[Ph QCZaringN[PJUYaringQcYOslashhJLKhZJUYJUO H JU^centm7NpoundXiacutejOb H QR[]OOtildeegravearingOumlOtilde 13ordfcent ntilde Otilde 13 WMeJLhZJ Otilde aacute Otilde szligYOtildeOgravecentszligYOtilde13ordf ^iexclXm NPONPfR[S[SmAumlWQ H M H MeJOacuteY H j^Fm Xiacute[Ph[PhZJmWYZbLNPfRJFQZaringN[PJUYeWNtildeJZaringQcOQCZaringQVcurrenLJ H MeJNtilde^J H JLhlZaringQcONPO H [SX H MeJFbn[UiNihQcNPObnJcopyZaringN H hQVk[SX H MeJTbn[]OYQc^eJLhZJU^hZJ[]Qc[]OY^ J5ZaringNmaringNPYYZjFZOslashJ H MN H JUNPbdM bn[]fR[PhFhZJ[]QR[]Oacute13 QsYOcircZOslash[W^eJUfcfRJU^OslashcentmOslashNg[]NPjYYZQcNPO^QsY H hQRcentj H QR[]Oeuml[SXyacuteZOslashJUNPOiexclSegraveaacute S szligPS cent szligPS NPO^7bn[UiNihQcNPObnJZ N H hQk5^MeJKh[PcentNicentQcfcQ H maring^eJUOYQ H moXiacutejOb H QR[]O QcYu[]QUPJUO centm H MeJgXiacute[]fcfR[WQcO[aeligJkWKhZJUYZYQR[]OOaring

$ampamp aOtildejOcircaacute fa )( j +cent aq^J H ayacutejj cent JkWK- f aOtilde Sltj thorn aOtilde Sltj a2Ograve]jG [eZaringQcOQZaringQVcurrenUQcOF[ H MJbn[U~NihdQcNPObnJuZaringN H hQktimes^eJ H JLhlZaringQcONPO H [SX-NPOtimesJUP[]fVUWQcO[hJ[]QR[]ONiKKEgraveJUNihY H [OslashcentEgraveJNtimeshZJUfcJU~NPO HH [[]f H [ordmZaringN`PJ H MQcYFhZJ[]Qc[]O bn[]OUPJLhY[PJ H [WFNih^Y H MeJbLfR[]YZJUY H Me[]ZOslash[S[PJUOeJL[]jYbn[]fR[PhiexclhZJ[]QR[]OO^9J H jY$Oe[ H J timesOslash NPO^0copyUgraveUcircUacuteUuml H MJbn[UiNihQcNPObnJ5ZaringN H hQcbnJUYy[SX=hJUYKEgraveJUb H QVUPJUfVmordmOuml timesOslash aagravejNPO^tOuml UgraveUacuteUuml aagravejaring

atilde aacute213 u Patilde u centatilde u atildeu cent atilde u centcentatilde u cent4atildeu5 atilde u5centatilde u54atilde67 a2zSj

WMJLhZJSaringEFFG FFH u times aumlatilde aacute iacutefaring w aring thorn yuml aOtilde times S times atilde jaOtilde auml S auml atilde j atilde aumlS times atilde aacute iacutefaring w aring thorn yuml Otilde times a2atildeltszligaumlj atilde auml WQ H M aacuteiVIgraveOacute[Ph Kf5

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ J [PcentUWQR[]jYZfm`MNUPJacuteu times aumlatilde aacuteu auml timesatilde ^shy9J H jYaumlO[ H J ^eJ H a atilde j H MJ ^eJ H JLhlZaringQsONPO H [SXH MeJaumlbn[U~NihdQcNPObnJZ N H hQkWiexclMQcbMJkBKhJUYZYZQR[]O QcY H MJgX[]fsfR[WQsO[aring

^eJ H a atilde jumlaacute u Patilde u centcentatilde u 4atilde u centatilde u atilde u cent4atilde u Patilde u cent4atilde u cent4atilde u centcentatilde u atilde u atilde u 4atilde u centatilde u centatilde a2Ogravei]jnot jOb H QR[]OY [SX H MeJeumlbn[UiNihQcNPObnJpoundZaringN H hQk ^eJ H JLhZaringQcONPO H YNihZJ jYJU^ NPY hJ[]QR[]O^eJUYbnhQRK H [PhY^ JIacutebMe[B[]YJ H MJordfX[]fcfc[WQcOF[aeligYZJ H [SX$^eJUYZbnhQRK H [PhYaringEFG FH uuml thorn UgraveUcircUacuteUuml yuml aacute98ordfaq^eJ H acopyUgraveUcircUacuteUumlAjjuuml thorn timesOslash yuml aacute98ordfaq^eJ H a timesOslash jjuuml thorn otilde)yuml aacuteOslashb a2Ograveh]jWMJLhZJ8ordfaOgravejFQcYNOslashKEgrave[]YZQ H QVUPJiexclXiacutejOb H QR[]O [SXampbLfcNPYZYograve aOtilde 13yjFNPO^Cb`NOslashKEgrave[]YZQ H QVUPJOtildebn[]OWVY H NPO H ^gJ H jYNtildeOe[W WhQ H J H MeJJUP[]fcj H Qc[]OaringJBjN H QR[]O [SX H MeJiexclNPb H QUPJbn[]O H []jehcentmbn[]ZOslashK-j H QcO[ H MJIacute^QEgraveJLhZJUO HH JLhlZaringYiexcl[SX_a j^J H NPQcfcYiexcl[SX H MeJIacutebn[]ZaringKj H N H QR[]O bLNPOcentEgraveJgXiacute[]jO^QsOaNiKKEgraveJUO^QVk X5^gtMJaumlJUP[]fcj H QR[]O`JBjN H QR[]O[SX H MJIacuteNPb H QVUPJaeligbn[]O H []jhQcY H MJgX[]fsfR[WQsO[aringaelig Yacuteaagravejaelig agrave aacute8gaq^eJ H atimesOslashjj 8ordfaq^eJ H a UgraveUcircUacuteUuml jj`b admacr s jlt8Icircraquodaq^eJ H a times Oslash jgt= ccedil A B egrave aOtilde S timesOslash jaOtilde B5 S BtimesOslash jB^eJ H aDC EBtimesOslash ja fj BGFH amp^eJ H atimesOslashj48 raquo aq^eJ H atimesOslashjj 8Icircraquodaq^eJ H a UgraveUacuteUuml jgt= ccedil I B egrave aOtilde Eacute S UgraveUcircUacuteUuml jaOtilde B S BUgraveUcircUacuteUuml jB^eJ H aDC JBUgraveUacuteUuml ja fj BKFH amp^eJ H a UgraveUcircUacuteUuml j48 raquo aq^eJ H a UgraveUcircUacuteUuml jjcedil13eacuteMJZaringN H hdQkLC JBatilde QsY ^JU^jbnJU^icircXh[]Z H MJeumlbn[U~NihdQcNPObnJbZaringN H hdQkM atilde centm YZjeKeVKhJUYZYZQcO[ H MeJ uuml UumlON hZ[WENPO^ H MeJ I UumlON bn[]fcjFZaringO^MeJeumlfcNPY H Xiacute[]jeh fsQcOeJUY [SX H MeJJBjN H QR[]ONihZJ H MeJOtildeNP^^Q H QR[]ONPf H JLhZaringY(bn[]ZaringQcO[XiacutehZ[]Z H MeJiexclU~NihQsN H QR[]O [SX H MeJOtilde^eJnVYZbnhdQRK H [PhYWiexclQ H Mordmagrave^ Y0Q H MNPYycentEgraveJLJUOOslashKhJUBQR[]jYZfVmTKhZ[UPJU^X[Ph[PhZJmWYZbLNPfRJiexclQCZaringN[PJUYeH MeJUYZJ H JLhlZaringYMNUPJ H [ cent=Jaumlbn[]OYZQc^eJLhZJU^ QsO[Ph^eJLh H [regZ N`PJ H MeJTNPb H QUPJTbn[]O H []jhbn[]OUPJLhY[PJ H [WFNihd^YNZ QcOQZtimesjFZ [SX H MJTbnhQ H JLhQc[]OO^macr^ ^~THORNUgrave2FIgraveFEgrave2Iacute_IgraveFOacuteshyETHOgraveNtildeshyEumlEgraveOIgraveIcircdEumlETHOIcircnot [Ph H MJ JkWKEgraveJLhQZOslashJUO H YeQWNtildeJ H N`PJCntildea]jordmaacute ILK Kaf[]jgWMQsbMsup1[]QVUPJUYnntilde raquo aOgravejaacutefdOafWOgravej(NPO^8ordfaOgravejaacute ILK KafIcirch cent juWMQcbdMt[]QVUPJUY8 raquo aOgravejaacute ETHOafIcirch cent j^ JbdMe[[]YZJ bbaacute f s ^QMeJaringbn[]fR[PhtimesYKNPbnJ YJUfcJUb H JU^QcYaQPszlig l szligicirclaquojeltWMeJLhZJwaOtilde aacuteRPordmjhZJLKhZJUYJUO H Y H MeJfsjFZaringQcONPObnJNPO^waOtildeOgravecent5aacute l j$NPO^frac34aOtildeS aacuteOslashicircj$hZJLKhZJUYJUO HyH MeJ H WF[bdMehZ[]ZaringQcONPObnJUY^ not [Ph H MeJbn[]ZaringKj H N H QR[]OOslash[SX H MeJuUiNihQcNPObnJSei[]Ofm H MeJfcjZaringQcONPObnJQcY(jYJU^O^

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CB5Oaring[Phd^eJLh H [aeligYJ[]ZOslashJUO H NPO Me[]ZOslash[S[PJUOJL[]jY0hJ[]QR[]OOeOgraveWFJiexclY H Nih H WQ H M NPO QcOQ H QcNPf

bLjehlUPJ0QcOYZQs^eJ H MJ0hZJ[]QR[]Oauml[SXWQsO H JLhZJUY H ^MeJybLjhYUPJ0QcY H MJUOTYZjeKK=[]YZJU^ H [JkWKNPO^jO H Qcf(Q H hJUNPbMeJUY H MeJ centEgrave[]jO^NihlmOacute[SX H MeJabn[]ObnJLhdOeJU^ Me[]Zaring[S[PJUOeJL[]jYaringhJ[]QR[]OO^MJtimesbLjehlUPJtimes^e[BJUYUacuteOe[ H [P[cent=JmP[]O^ H MJUYJaeligcent=[]jO^NihQRJUYiexclYZQcObnJSe=[UPJLh H MeJLhZJSe H MeJbnhQ H JLhQR[]OOacuteQsObnhZJUNPYJUYtimescentEgraveJUbLNPjYJ H MeJU~NihdQcNPObnJOcircu centtimesOslash [Ph H MeJ bn[U~NihdQcNPObnJtZaringN H hQVk^eJ H JLhZaringQcONPO H ^eJ H atimesOslashjUcirccentOtildeQsObnhZJUNPYJS^MeJaringNPfV[P[PhQ H MZEcentNPYJU^[]O H MeJ bn[UiNihQcNPObnJZaringN H hQVkeumlQcYaumlK=JLhlX[PhlZaringJU^euml[]ONPOQZ N[PJ [SX H MeJUBQs^eJL[`YJBjeJUObnJrnN`WQVmP[]peumlQcO[Ph^JLh H [euml^eJ H JUb HaeligH MeJYKEgraveJUN`PJLhUTYXqNPbnJS^gtMJaumlJUP[]fcj H QR[]O[SX H MJIacutebLjehYUPJIacuteQcYu[]QVUPJUO QcO not QV[^ macr^gtMeJTbn[]O H []jehiexclJUP[]fUPJUYH [ONPfcfVmbn[]OUPJLhY[PJaelig[]O H MeJIacutecent=[]jO^NihQRJUY[SX H MJyXqNPbnJa not QV[^ macr^bj^OMeJyXiacuteNPbnJaeligQcYH MeJUONPbLbLjehdN H JUfVm YZJ[]ZOslashJUO H JU^^FMeJUacuteNSZOslashKfcQ H j^eJ[SX H MeJiexclUPJUfR[BbLQ H m QsYFNPfsY[laquo[]QVUPJUOQcO not QV[aqYj^ macr^ ^OecurrenJSe Xfrac34jNPO^WNtildeJUacutebLNPO [PcentYJLhYUPJ H MN HFH MeJ5XiacuteNPbnJUacutehZJ[]QR[]O QcYUPJLhYmWFJUfcf^eJUfsQZaringQ H JU^regXhZ[]Z H MJ[ H MJLhhZJ[]QR[]OY^MJ5UPJUfc[BbLQ H m[]QUPJUO QcO not QV[aqYj^ macr^ ^OecurrenJSe XQcObLfcj^eJUY H MeJNP^^Q H Qc[]ONPf H JLhlZaringYFbn[]ZaringQcOF[yXiacutehZ[]Z H MeJ5UiNihQcN H QR[]O [SX H MeJiexcl^eJUYbnhQRKeVH [PhY5WQ H Magrave`centj H ^e[BJUYOtildeOe[ H QcObLfcj^eJ H MeJaeligcentEgrave[]jO^NihlmVcentNPYZJU^ H JLhlZ WMQcbMeumlQcYUacuteNYYZaring[[ H MQsO[ H JLhlZ^KMeJtimesNSZOslashKfcQ H j^eJOtilde[SX H MeJyUPJUfc[BbLQ H maQcYiexclOe[PhlZaringNPfcQcurrenLJU^ centEgraveJ H WFJLJUOs NPO^ macrSmacre$YZjbdM H MN HTH MeJ OeJ[]N H QVUPJoU~NPfcjJUYIacuteNihZJ fR[WFJLh H MNPO f i`NPO^ H MeJKEgrave[]YZQ H QUPJ[]OJUYNihZJTMQ[]MeJLh H MNPOpoundf i^ J bLNPObn[]ZaringKNihZJ H MJ QcOQ H QsNPfUPJUfR[BbLQ H m[Pcent H NPQcOJU^jYZQcOF[ H MeJ bn[U~NihQsNPObnJZaringN H hdQk admacr s juWQ H M H MeJOtilde[]OeJOtilde[Pcent H NPQcOeJU^jYQcO[ H MeJordfUiNihQcNPObnJrega2Sj^KMeJordfXqNPbnJTQcYOe[ H WNtildeJUfsf9^eJ H JUb H JU^QcO H MeJUPJUfR[BbLQ H m[Pcent H NPQsOeJU^ajYQcO[ H MeJUiNihQcNPObnJa not Q[^ ^bjWMJLhZJUNPYIacuteQ H QcYIacutehZJUNPfcfmumlWNtildeJUfcfF^eJ H JUb H JU^QsO H MeJQcOQ H QcNPfUPJUfR[WbLQ H m7jYZQcOF[ H MeJbn[iVUiNihQcNPObnJpoundZ N H hQk a not QV[^ ^currencentj^_MeJ UPJUfR[WbLQ H m [Pcent H NPQcOeJU^ jYZQsO[ H MeJumlU~NihdQcNPObnJ^e[BJUYOe[ H NPfsfR[W NPOJltz bLQRJUO H YJ[]ZOslashJUO H N H QR[]O`[SX H MeJyXiacuteNPbnJauml[]O H MeJaumlbn[]O H hNihYm H [H MeJIacutebn[UiNihQcNPObnJlaquoZaringN H hQk^eJ H JLhZaringQcONPO H WMQsbM H N`PJUYUacuteNP^UiNPO H N[PJaelig[SX H MeJtimesbn[]fR[PhQcOFX[PhlZ N H QR[]OO^macr^ ^WVFEumlETH=gtNtildeFETH32EacuteltOacuterETHEacute`0Ntilde=KIgravek8ltIgraveFETHIgrave5=KETH32EacuteltOacute~2Oacute+(8ltIgraveEacute IcircIgrave5euml1IgraveFOacute=KIgraveIcircMJa^eJUYZbnhQcK H [PhYOslashcentNPYZJU^[]O H MJ`bn[UiNihQcNPObnJZaringN H hdQkNihJ`QZOslashK-fRJZOslashJUO H JU^ H [^eJ H JUb H MBjFZaringNPO XqNPbnJUYQcO UWQc^eJL[OacuteYJBjeJUObnJUY^MQsYaring^eJ H JUb H QR[]OegraveZaringNm cent=J`jYJU^Xiacute[PhtUWQc^eJL[ bn[B^QcO[ H [JUObn[W^eJYJUfcJUb H QVUPJUfVm H MeJOacuteMBjFZaringNPOegraveXqNPbnJS^ not [Ph`N []QVUPJUObn[]ZOslashKhZJUYZYZQR[]OOacutehN H QR[e H MeJoXiacuteNPbnJbLNPO7cent=J H hNPOYYZ Q HH JU^bWiexclQ H MN MQV[]MJLhThN H J H [H MeJ^eJ H hdQZOslashJUO H [SX H MeJcentNPbl`[Ph[]jO^O^uMQsY QsO H JLhZJUY H QcO[KhZ[PKEgraveJLh H m QcYUiNPfcjWVNicentfcJuX[PhUBQc^JL[Bbn[]OXiacuteJLhZJUObnJUYe]WMeJLhZJ H MeJ ZOslash[]Y H QZOslashKEgrave[Ph H NPO H NPO^regZOslash[]Y H U~NihdQcNicentfRJQcOFX[PhlZ N H QR[]OQcYfR[WbLN H JU^ []O H MJordfXiacuteNPbnJaq 5ZOslash[]Oe[]j`NPO^tUacutejMNSZaringJUfde sSsSs j^ J QcOQ H QcNPfcQVcurrenLJ H MJhdY H XiacutehNSZOslashJoWQ H M7N`bLQchbLfRJ QsOYZQc^eJ H MeJXqNPbnJ H [ H hNPbY`K^MJUOOeyacuteWFJsup1ZaringN`PJ H MeJNPb H QVUPJ7bn[]O H []jeheumlJUP[]fVUPJjYZQcOF[admacr s jeiexclWQ H MX8ordfaOgravejxaacuteILK KafUgravemiddot cent j^ltMeJregONPfybn[]O H []jehtimes[SX H MeJ bLjehZhJUO H QZaringN[PJ QcY H MeJUOOacutebdMe[]YJUO7NPYNPO QcOQ H QcNPfbLjhYUPJordfX[Ph H MJUacuteOJk H QZaringN[PJS^FMeJOtildeNPfV[P[PhQ H MFZMNPYcentEgraveJLJUOKEgraveJLhYXiacute[PhlZOslashJU^[]OYJUPJLhdNPf$YJjJUObnJUY^MeJaelighZJUYjf H Y5X[Ph H MJaeligYZJjeJUObnJpoundn5JLhQV`p NihJordm[]QVUPJUOQcOnot QV[^ethz^shyMeJaringKNihNSZaringJ H hZJ bMNPYaumlcentEgraveJLJUOYZJ HaumlH [sup1f s ^QMeJordmXqNPbnJ QcYordfWFJUfcfy^J H JUb H JU^NPO^ H hNPbY`PJU^times[]O H MJ|WMe[]fcJyYJjJUObnJS^MJyhZJUYZjf H YOX[Ph H MeJNtildeYZJjeJUObnJnN`WQVmP[]p

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ macrNihZJy[]QVUPJUO`QsO not QV[^ i^ JaeligbMe[B[]YJbaacute s ^ JtimesbLNPO`YJLJ H MN HH MeJXiacuteNPbnJaeligQcYuWFJUfcf^eJ H JUb H JU^aJUPJUOaQVX H MeJaumlbn[]fR[Phiexcl[SXMJLhYZMQRh H QsY(bLfR[]YJ H [ H MJgXiacuteNPbnJIacutebn[]fR[Ph^

YOEAEligMgtIltROgravesup3PshyAtildeT13MKI5O H MQcYKNiKEgraveJLheuWNtildeJKhZ[PKEgrave[]YJN OeJW 0jfRJLhQcNPOAumlZaringQsOQZaringQVcurrenUN H Qc[]OAumlZOslashJ H Me[W^ H [bn[]ZOslashK-j H J H MJUPJUfR[WbLQ H mpoundUPJUb H [Pharing[SXNPONPb H QVUPJ bn[]O H []jeh H MN H JUOYZjehZJUYtimesQ H WQcfcfJUP[]fVUPJ NPYordfXiacuteNPY H NPYOtildeKEgrave[]YZYZQRcentfcJ H [WNih^YIacuteNZaringQcOQCZIacutejFZ [SXN bnhQ H JLhQR[]OeumlQcObLfcj^QcOF[centEgrave[ H MUacutehZJ[]QR[]OeVcentNPYJU^TNPO^OtildecentEgrave[]jO^NihYmVcentNPYJU^ H JLhlZ Y^ q jehgNiKKhZ[]NPbMIacuteQcYcentNPYZJU^Otilde[]OYZMNiK=J[PK H QZaringQVcurrenUN H Qc[]OOslashKhQcObLQRKfRJUY$NPO^ QcYyKEgraveJLhYXiacute[PhlZOslashJU^ QcO H MehZJLJ5ZaringNPQcO Y H JLKYaringf^ltO H hZ[W^jb H QR[]O[SX$NOslash^mWONSZaringQcbLNPfYbMeJZOslashJIacuteQcO H MeJTbnhQ H JLhQR[]OOe ^vF[]ZOslashKj H N H Qc[]Oaelig[SX H MeJ_0jfRJLhdQcNPOaelig^eJLhQVUiN H QVUPJ[SX H MJbnhQ H JLhQR[]OOslashjYZQcO[OtildeYZMNiKEgraveJ

[PK H QZaringQVcurrenUN H Qc[]O H [[]fcYe^vF[]ZOslashKj H N H Qc[]Oa[SX H MeJtimesJUP[]fcj H Qc[]OaJBjN H QR[]O`[SX H MeJaeligNPb H QVUPJtimesbn[]O H []jehiexclXiacutehZ[]ZH MeJT^eJLhQU~N H QVUPJS^

iexcl Ntilde _ cent G NPfcfR[WY H [hJUNP^QcfVm H N`PJNtildeQcO H [NPbLbn[]jO H9H MeJybLNPYJ0[SXBhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H^eJUYbnhQRK H [PhY H MN H NihZJo[]fR[PcentNPfcfVmN HH NPbdMeJU^ H [ H MeJ JUP[]fVUWQcO[ hZJ[]QR[]OYtimesNPO^Y[H MN H UiNihYm^jehQsO[ H MJaumlKhZ[PKN[]N H Qc[]O [SX H MJaumlbLjehYUPJS^ JTYMe[W H MN HH MeJgUiNihQuVN H QR[]O [SX H MeJUYJ^JUYZbnhQRK H [PhdY QsO^jbnJUYNP^^Q H QR[]ONPf H JLhlZaringYQcO H MeJeumlJUP[]fcj H QR[]OJBjN H QR[]Oeuml[SX H MeJaringNPb H QVUPJ bn[]O H []jeh^MJUYJ H JLhlZaringYgZtimesjY H Oe[ H centEgraveJlaquoX[Phl[P[ HH JUOQcO[Ph^JLh H [ hZJUNPbMeumlN H hjeJZ QcOQZtimesjFZ[SX H MeJtimesbnhQ H JLhQc[]OaNPYUacuteQ H MNPYcentEgraveJLJUOKEgrave[]QcO H JU^[]j H QsOJkBKEgraveJLhQZaringJUO H NPfEgravehZJUYjf H Y^

Yfrac34XiacuteNiheumlNPYeumlMe[]ZOslash[S[PJUOeJL[]jYeumlbn[]fR[PheumlhZJ[]Qc[]OY`YZJ[]ZOslashJUO H N H Qc[]OQsY`bn[]ObnJLhdOeJU^OeWFJKhZ[PKEgrave[]YJ H MeJ`bn[U~NihQsNPObnJfrac34ZaringN H hdQk^eJ H JLhlZaringQcONPO H NPY N^eJUYbnhQRK H [Ph^MQcYY H N H QsY H QcbLNPfhZJ[]QR[]OeV4^eJLKEgraveJUO^eJUO H ^JUYZbnhQRK H [PharingNiKK=JUNihdY H [centEgraveJN UPJLhlm7hJUfRJU~NPO HH [B[]fampNPO^eumlY[ Q H MNPYUacutecent=JLJUOeumlYZjbLbnJUYZYXqjfcfVm NiKKfsQRJU^ H [XqNPbnJaring^eJ H JUb H QR[]OQcOfrac34UWQc^eJL[YJBjeJUObnJUY^

iquest acuteraquoacuteLacuteIltR]acuteAtildeagraveIgravefrac14dEcircsup1Atilde5AringiquestLmiddotNtildeIumliquestUumlgIumlUTHORNampAtildeEacutecedilAtilde5AringAcircnAtilde|iquestaacuteIacuteIumlIZEgravefrac14Zcedilfrac12frac14dAringiEcirc]iquestfrac14draquoiEcirc[NtildeIumlagraveAringEacutePAtildecedilwAacute4] uacute_^J^J^ iquest)` igraveraquoLCcedilfrac14cedil4Ecircfrac14draquo~Ecirc(Auml|AringAacuteCcedilfrac14Zcedil4Ecirc

Agrave5AringcedilAcircnAtilde$AtildeAcircnAuml|frac12AringAacutesup1AumldraquoTAringAEligwsup1raquo~ordm(frac12Atilde5AcircnAtilde5frac12AEligwAtildeAacuteampIgrave(Atilde AacuteIcirc~AumlUEcircSaIumligraveraquo13] x4~rv p4PldrRtcoPl|Egraveod5v pv i4vodaumlx4shyl not vsectpqo v tu not Iumlcb$Auml|EacutePAtilde|iquestednfrac14Oumlifrac14draquoIuml

agraveIgrave(Aumldraquo~Auml|Aringiquest~igrave4IumlPfrac14raquoiEcircfWIumliTHORNampAringIcircifrac14Igrave(Atilde5frac12G] divideugrave|ugrave|ugrave iquest` igraveAacuteAtildecedil4frac14ZAacutesup1Acirc|AtildeNtildeEacute~frac14dAgrave4UgraveUCcedilEgravefrac14cedil4EcircUacuteAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoUacuteOgraveregAumldcedilIcirc~sup1Atildecedil4frac14cedilAgrave4Icirc~sup1currenEumlAgravefrac14dfrac12=CcedilEgravefrac14AcircnAtilde5frac12AtildeAacutesup1Igravefrac14ordm|AtildeAgrave5AumlUEcircsup1raquo~ordmIaIumlaeligigraveiacuteraquoS] x4rv p ildrRtcodil|ampod5v pv P4vOtildeodOslashx4shy(l not vFsectpqo v tu not Iumlg frac14raquo~Agrave5AumldAring~AcircnAtildecediliquestehEgravefrac14raquoifrac14|Ecircfrac14Iuml

agraveAringEacutePAtildecedilwAacuteiquest[NtildeIumlWfrac14raquoiEcircifWIuml13b$Aumldcedilraquo~OumlcedilAuml|EacuteAEligqAacute4] divideugrave|ugraveuacute iquestkj ldrregv shy(ldrRtcl|ipwonm5v shyNtildetuOslashtushyl not vampipwo4v tu not sect9ldp4rRtcl|Egravedt lv pv ~rRtRl|9vDm~lrRtcod~ldiTrreg~vUacutel| Uiexcloqnldp4tcldrRtRod~ iquestpoAumlIuml uacute_qEr IumlOslashagrave9Ouml~Oumlfrac12sup1AtildeEcircaacuteUacutefrac14AacuteIcirc~AtildeIgravefrac14Aacutesup1Agravefrac14dfrac12BatildeAgravesup1Atilderaquo~Agrave5Atilde5AElig5iquestPatildeOumlcedilsup1raquoordm|Atildecedil g Atildecedilfrac12frac14dordmIumlhEgravefrac14dAEligwAtilde5frac12frac12Atilde5AElig5iquest g Iumliquest~szlig0Iumleb$sup1Igrave(Igrave(Atilde5frac12Riquestifrac14raquoiEcirc[NtildeIumlatildefrac14dOumlsup1cedilAumlI] uacute_^J^Er iquest`s[Atilde5AumlUEcircAtilde5AEligwsup1AgraveFfrac14dAgraveAacutesup1AcircnAtildeyAgrave5AumldraquoUAacuteAumldAringcedilAElig_aIuml x4~rv p4PldrRtcodPldpoundUodUp4Pl|WoqodshyiUrv paumlumltutcodutet13v uacute+w iquestex uacuteyIrz^ Iuml

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CBh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34LiquestBagraveyIumlWfrac14raquoiEcircidIumlBTHORNampAringraquo~Agravefrac14raquo13] uacute4^z^J^ iquest`[ampfrac14Igrave(AtildeEumlcAacuteIcirc~Atilde5AumlcedilAtildeAacutesup1Agrave(sup1raquoUAacuteAtildeordmdcedil4frac14Aacutesup1AumldraquoaeligOgraveuAumldcedil0sup1Igravefrac14dordmdAtildeAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIuml xQ|||~pwl~ lnrRtcodNtildeodiexclsect9lrRrv p auml9Pl| ~tuyldi j l|4Utu]vx4~rvreg t not v P4v Iumlh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34Liquestgagrave0IumliquestIumlgatildeUAacute4frac14dsup1Eacuteiquest9frac14draquoiEcircdIuml9THORNampAringraquo~Agravefrac14raquo13] uacute_^J^ xiquest` THORNampAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeIacuteEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34iraquo~Ecircsup1raquo~ordmsup1raquoIgrave(AtildeEcircsup1Agravefrac14frac12iexclsup1Igravefrac14ordm|Atilde5AEligaringEacuteLfrac34Oacutesup1raquoLAacuteAtilde5ordmcedil4frac14Aacutesup1raquo~ordm ordmdcedil4frac14|Ecircsup1Atilde5raquoLAacute frac14raquoiEcirccedilAtilde5ordm|sup1Auml|raquo sup1raquoOgraveuAumldcedilIgravefrac14ZAacutesup1Auml|raquo13aIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu notI iquesteE ^4y rdugrave Iumlh=Icircifrac14raquoiquestBETHIumlWfrac14raquoiEcircIuml g Atilde5AEligwAtildeJ] dividedugravedugraveuacute iquest` agraveAgraveAacutesup1AcircnAtildeFAgrave5Auml|raquoLAacuteAuml|AringcedilAElig$Ccedilgsup1AacuteIcircAuml|AringAacuteNtildeAtilde5Ecircordm|AtildeAElig_aIuml xQ||k|~pwld lnrRtcododUacutex4shy(l not v9sectpqo4v 4tu notuU v divideJw iquest divide xJx ydividezrJr Iumlh=Icirc~Atilde5AEligwraquo~frac14dAring~EcirciquesthIumliquestfWIuml=szligAtildeOgraveYacutecedilIAtilde5ordm|sup1Atildecediliquestfrac14draquoiEcirc g Iuml5Z=AumldAring~frac12AtildeAacute4] uacute_^J^z^ iquest`currenatildeUAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12cedilAtilde5ordmdsup1AumldraquoAEligwraquoifrac14dUgrave|AtildeEumlsEacuteifrac14dAEligwAtilde5EcircAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquofrac14|Ecircfrac14dOumlAacuteAtilde5EcircFAacuteAumlyEcircsup1s]AtildecedilAtilde5raquoLAacute-Ouml~IcircLfrac34AEligwsup1Agrave5frac14dfrac12~raquoAuml|sup1AEligwAtilde9Igrave(AumlUEcircAtilde5frac12AElig_aIuml xQ||k|~pqld~ lnrRtco~$osect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4vt iquest uacute|uacute_q y~uacute|uacute xIumlh=Auml|IcircAtilde5raquoiquestIuml] uacute4^z^uacute iquest`currenmiddotraquofrac14dAgrave Aacutesup1Acirc|Atilde Agrave5AumldraquoLAacuteAuml|AringcedilIacuteIgrave(AumlUEcircAtildefrac12AEligtimesfrac14draquo~EcirceumlEacuteifrac14dfrac12frac12AumlLAuml|raquoAElig_aIuml odshyiUrv pumltutcod pwl Utc0ldix4shyl not vsectEgravepwo4v tu not x4shyl not vOtildePnv p rsldidtu not) iquest divideUuacuteduacuteydivideLuacute UIumlh=Auml|IcircAtilde5raquoiquestSIumliquestUumlIuml13ZEgravefrac14cedil4Ecircsup1raquo~AtildeAacuteiquestfrac14raquoiEcircoNtildeIumlagrave9frac34Lfrac14dAgrave4Icirc~AtildeJ] uacute_^J^z iquest`atildeUAringcedilwOgraveufrac14dAgrave5Atilde0cedilAtilde5Agrave5Auml|raquoAEligqAacutewcedilAring~AgraveAacutesup1AumldraquotimesAring~AEligwsup1raquoordmfrac14AgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilaumlIgrave(AumlUEcircAtilde5frac12AElig_aIuml igraveiacuteraquoS] Lsect=xQ|od5v pv P4v od vwodshy(v rRp tc j v rregodtimestuodshyiUrv pumltutco Iuml~atildefrac14raquoUacuteTHORNampsup1Atilde5ordm|AumliquesthEgraveagraveyIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquestEgraveUumlIuml] dividedugrave|ugravedugrave iquest`currenatildeAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquo Ouml~frac14cedilAgrave5Auml|raquoLAacuteAuml|AringcedilAEligUacutefrac14AgraveAacutesup1currenOgraveuAEligUacuteAtilde5raquosup1Igravefrac14dordmdAtildecedilsup1AtildeIacuteIgraveAtilde5Ecircsup1Agravefrac14dfrac12AtildeIacuteEcircfrac34UEumlraquoifrac14dIgrave(sup1ecircLAring~Atilde]ampfrac14Ouml~Ouml~frac12sup1Agravefrac14ZAacutesup1AumldraquoAtilde5raquoeumlAgravefrac14Zcedil4Ecircsup1Auml|frac12Auml|ordmdsup1Atilde raquoUAring~Agravefrac12Atilde5frac14dsup1currencedilAtildeJaIumlfIcircIuml THORNFIumlAacuteIcirc~Atilde5AEligwsup1AElig5iquestraquo~sup1AcircnAtildecedilAEligwsup1currenAacutefrac34`AumlOgraveosup1Agrave5AtildeEumliacuteatildeAumldOuml~Icircsup1Yacutefrac14NtildeagraveraquoLAacutesup1OumlPAuml|frac12sup1AElig5iquestPeacutecedil4frac14raquo~Agrave5AtildedIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquest|UumlIumliquestUaacuteIacuteIumlEZEgravefrac14cedilfrac12frac14dAring~Ecirciquest[NtildeIumlLagraveAringEacutePAtildecedilwAacuteiquest|frac14draquoiEcirc dIumlnTHORN$frac14ZcedilAgrave5Auml|AringcedilwAacute4] divideugrave|ugraveUuacute iqueste`currenatildeOuml~frac14dAgrave5AtildeEgraveAacutesup1Igrave(AtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14EumlAacutesup1AumldraquoUacuteAring~AEligwsup1raquoordmfrac12Atilde5AcircnAtilde5frac12AEligwAtildeAacutefrac14dAgraveAacutesup1AcircnAtilde$AgraveAuml|raquoLAacuteAuml|AringcedilAEligfrac14Ouml~Ouml~frac12sup1AtildeEcirciexclAacuteAumlFIgraveNtildefrac34LAumlLAgravefrac14Zcedil4Ecircsup1frac14dfrac12ordmnfrac14ZAacuteAtildeEcircOtildeatildeIf-UumlkhEgraveETHaIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu not t v rJw iquest)x qJ+y xJ ^ Iuml

THORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquest13iexclNtildeIumlfrac14draquo~EcircdIumlWaacuteAuml|raquoLAacute4frac14ordm|raquoifrac14ZAacute4] divideugrave|ugraveUuacute iquest` ETHBAumldOumlPAuml|frac12Auml|ordmfrac34Oslashfrac14raquoiEcircIacuteAEligwIcirc~frac14dOumlPAtildeAgraveAuml|raquo~AEligqAacutewcedil4frac14sup1raquoUAacuteAEligyAumldraquotimesOumlifrac14Zcedil4frac14EumlIgrave(AtildeAacutewcedilsup1AgraveOslashfrac14dAgraveAacutesup1AcircnAtildearingAgrave5AumldraquoLAacuteAuml|AringcedilAElig_aIuml odshy~rv pumltutcodldP x4shy(l not vPLv p4rsldPtu notcent) v divideJw iquestuacute_qnugrave4yiuacute4rUuacute Iuml[Auml|Igrave(Atilde5AElig5iquestpounddIumlfrac14draquo~EcircaringmiddotNtildeIumleacuteifrac14Aring~ordm|Atilde cedil4frac14dAElig_] divideugrave|ugrave|ugrave iquestcurren` szlig9Atilde5Agrave5Aumldraquo~Agrave5sup1frac12sup1raquo~ordmIacuteEcircsup1AEligqAacute4frac14draquoAgrave5AtildeOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligfrac14draquo~Ecircaeligfrac12Atilde5AcircnAtilde5frac12EgraveAEligwAtilde AacuteAElig_aIumlpoundUodUp il|WoqUacuteumltul|-odshyNtildeshyFU~tR4lrRtcodTldix4shyl not vampgvipv v rsldrRtcod ) iquest dividedugravez^+ydivideddividez Iuml[cedil4frac145frac34LiquestszligyIumliquestdIumlyen-Auml|Aringraquo~ordmiquestampfrac14raquoiEcircagrave0Iumlampagravesup1currenfrac34LAtildecedil4] dividedugravedugraveuacute iquest `aacutesup1raquosup1IgraveNtildeAring~Igrave Ecircsup1AEligwAgrave cedilsup1Igrave(sup1raquo~frac14Aacutesup1Auml|raquosup1raquoOgraveregAumldcedilIgravefrac14Aacutesup1AumldraquoAgrave5frac12Aring~AEligqAacuteAtildecedilsup1raquo~ordmI]Igrave(AumlUEcircAtilde5frac12sup1raquo~ordmTfrac14raquoiEcircOslashecircLAringifrac14raquoUAacutesup1Ocircfrac14ZAacutesup1Auml|raquoOslashCcedilgsup1currenAacuteIcirc ordm|frac14dAringAEligwAEligIgrave(sup1currenicircAacuteAringcedilAtilde5AElig_aIumlTigraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquest=atildePIumliquest=aacuteIacuteIumlkZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestEgravefrac14raquoiEcirc[NtildeIuml=agrave9Aring~EacutePAtildecedilwAacute4] dividedugrave|ugraveUuacute frac14Uiquest` agrave EumliacuteatildeUAacuteAtilde5Ouml frac14dfrac12ordm|Aumlcedilsup1currenAacuteIcirc~IgraveAring~AEligwsup1raquoordmcedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtilde=Agrave5Auml|raquoLAacuteAuml|AringcedilAEligeOgraveuAumldcedilAcircUsup1EcircAtilde5AumlAuml|EacuteUbrvbarqAtilde5Agrave AacuteAElig=EcircAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoSaIuml~igraveraquo13]psect xw j x4 sect odpDumlqo odUacutex4shy(l not v9Pl| ~tu5op j rRtushyvwdtclNtildex4rv pwlnrRtKndvy]v pntc4v IumliETHWfrac14dIgrave(OumlPAtilde cedilAtilde|iquestieacuteWsup1raquofrac12Yacutefrac14raquoiEcirc]Iumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquestUatilde]IumliquestUaacuteIacuteIumlUZ=frac14cedilfrac12frac14dAring~EcirciquestUfrac14raquoiEcirccopy[NtildeIumlUagrave9Aring~EacutePAtildecedilwAacute4] dividedugravedugraveuacute EacuteiquestA` szlig9Atilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14AgraveAacutesup1AcircnAtildegAgrave5Auml|raquoLAacuteAumldAringcedilAEligOgraveuAumldcedilAcircUsup1YacuteEcircAtilde5AumlaringAuml|EacuteUbrvbarqAtilde5Agrave AacuteOtildeAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo Ccedilgsup1currenAacuteIcircaAgrave5frac14dIgrave(Atildecedil4frac14OslashAgrave5AumldIgrave(OumlPAtilde5raquo~AEligfrac14ZAacutesup1Aumldraquo13aIumligraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquesteatilde]IumliquestWaacuteIacuteIumlZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestefrac14draquo~Ecirc[NtildeIumlBagraveAring~EacutePAtilde cedilwAacute4] divideugrave|ugraveuacute Agrave|iquestk` g sup1EcircAtilde5AumlUacuteAuml|EacuteUbrvbarqAtildeAgraveAacuteFAEligwAtildeordm|Igrave(Atilde5raquoLAacute4frac14Aacutesup1AumldraquoAring~AEligwsup1raquo~ordmIacuteAtilde5Aring~frac12Atildecedilsup1frac14draquo cedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAElig_aIuml igraveiacuteraquoS] x4rv p ildrRtcodil|yodv pwv P4vIacuteoodshyiUrv paumlumltutcod Iuml g frac14draquoAgrave5Auml|AringAcircnAtildecediliquestehEgravefrac14draquo~frac14|Ecirc~frac14UIumlbyfrac14dAEligwAElig5iquesteaacuteIacuteIumliquestWagrave0Iuml Ucirc sup1currenAacuteUgravesup1raquoiquestWfrac14raquoiEcirctimesTHORNFIumlWETHBAtildecedilOcirc5AumldOumlPAuml|Aringfrac12AumldAElig_] uacute4^ JUiquestk`currenatilderaquoifrac14UgravenAtilde5AElig_]WagraveAgraveAacutesup1AcircnAtilde(Agrave5AumldraquoLAacuteAuml|Aringcedil0Igrave(AumlUEcircAtilde5frac12AElig_aIumlx4~rv p4PldrRtcoPl|WpoundUop4PldWoqodshyiUrv pTumltutcod iquest ndivideUuacuteyUzndivide Iuml

aacuteUacutefrac14dfrac12frac12frac14|Ecircsup1ciquest~szlig0IumliquestedIuml]atildeUAtildeAacuteIcirc~sup1frac14raquoiquest~frac14draquoiEcircZIuml g Atilde5IgraveNtildeAringcedilsup1G] uacute4^z^ UiquestS`atildeUIcircifrac14OumlPAtilde$Igrave(AumlUEcircAtilde5frac12sup1raquo~ordm0Ccedilgsup1AacuteIcirciexclOgraveregcedilAuml|raquoLAacuteOumlcedilAumldOumlifrac14dordm|frac14EumlAacutesup1Aumldraquo13]nfrac14ampfrac12AtildeAcircnAtilde5frac12AEligwAtildeAacuteEgravefrac14Ouml~OumlcedilAumlnfrac14dAgrave4Icirc13aIuml xQ|||~pwld lnrRtcodampodsectgldrRrv p 9Pl| ~tu9ldP j ln4Utreg]vx4~rvu t not v i4v Iordf iquest uacute z yiuacute+r UIuml

aacuteUacutefrac14draquoAEligwAuml|Aringcedilsup1Riquestagrave0Iumlfrac14draquo~EcircdIumlb$Auml|raquocedil4frac14|EcircS] uacute_^J^J^ iquestlaquo`currenaacuteAumldAacutesup1AumldraquoAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo`Ccedilgsup1currenAacuteIcirceumlfrac12Atilde5AcircnAtildefrac120AEligwAtilde AacuteAElig_aIuml igraveraquo13]x4~rv p4PldrRtcoPl|=ov pwv P4vNtildeodUacutex4shyl not vsectEgravepwo4v tu not Iumlcb$AumldEacutePAtilde|iquestednfrac14dOuml~frac14draquoIuml

aacuteAuml|raquoLAacute4frac14dordmdraquoifrac14ZAacuteiquestdIumliquestziexcl0IumlTHORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquestdfrac14draquo~EcircoNtildeIumlZagravegfrac34Ufrac14dAgrave4Icirc~AtildeJ] dividedugrave|ugraveUuacute iquest` agraveOslashcedilAtildeAcircsup1AtildeCcedilaeligAumldOgravePEcircAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeAEligwAringcedilwOgraveufrac14dAgrave5AtildeAElig_]AacuteAuml|OumlPAuml|frac12Aumldordmdfrac34Liquestgordm|AtildeAuml|Igrave(AtildeAacutewcedilwfrac34frac14draquoiEcirc EcircAtildeOgraveuAumlcedilIgravefrac14Aacutesup1Auml|raquoSaIuml x4shyl not vtimesldiOacuteumltutcododshy~rRtreg not0Inot v uacute_qw iquestuacuteugravendivide+y~uacuteugravezq|ugrave Iuml

aacuteAring~IgraveOgraveregAumldcedil4Ecirciquest=THORNFIumlgfrac14raquoiEcircdIumlatildeIcirc~frac14dIcircS] uacute4^ ^ iquest`currenmiddotOumlAacutesup1Igravefrac14frac12$frac14dOumlOumlcedilAumlicircsup1Igravefrac14Aacutesup1Auml|raquoAEligEacuteLfrac34Oumlsup1AtildeAgrave5AtildeCcedilgsup1AEligwAtildetimesAEligwIgrave(AumlLAumlAacuteIcircOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligFfrac14raquoiEcircOslashfrac14dAEligwAEligwAumlLAgravesup1Yacutefrac14ZAacuteAtildeEcircaringAcirc|frac14Zcedilsup1Yacutefrac14ZAacutesup1Auml|raquoifrac14frac12EgraveOumlcedilAumldEacute~frac12Atilde5Igrave(AElig_aIuml odshyNtildeshyFU~tR4lrRtcod~oaeligsectEgraveUpvUacuteldiEgraveni tsvw j ldrreg~v shy(lrRtccurrenshyt iquest rzr4y xJ q Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfa

yenKbrvbarsect =4 acirc $ zmiddotAEligwIcirc~AtildecediliquestdatildePIumlfrac14draquo~EcircdIumlnatildeAtilde AacuteIcirc~sup1frac14draquoS] uacute4^ ziquest` eacutecedilAuml|raquoLAacuteAEligeOumlcedilAumldOumlifrac14ordmnfrac14Aacutesup1raquoordmCcedilgsup1currenAacuteIcircFAgrave5AringcedilAcirc|frac14ZAacuteAringcedilAtildeEumlEcircAtilde5OumlPAtilde5raquoiEcircAtilde5raquoLAacuteBAEligwOumlPAtildeAtildeEcircS]

agravefrac12ordm|Aumlcedilsup1AacuteIcircIgrave(AEligEacute~frac14dAEligwAtildeEcircaumlAuml|raquoiexclampfrac14Igrave(sup1frac12AacuteAumldraquoEumldnfrac14Agrave5Auml|Eacutesup1eacute~AumldcedilIgraveNtildeAring~frac12frac14Aacutesup1Auml|raquoSaIuml poundUodUp4Pl|oqiexcloshyiUrsldrRtcoPl|sect=U~tc ordfenot iquest uacutedivide4yEqE^ Iumlfefrac14cedil4frac14ordm|sup1Auml|AElig5iquestoNtildeIumlfrac14draquo~EcircIacuteszligyIuml]THORNampAtildecedilsup1Agrave4Icirc~AtildeJ] uacute4^z^J^ iquest`s[Atilde5AumlUEcircAtildeAEligwsup1Agravefrac14AgraveAacutesup1AcircnAtildeFcedilAtilde5ordmdsup1Auml|raquo~AElig$OgraveregAumldcedil0Igrave(AumldAacutesup1Auml|raquoTAtilde5AEligqAacutesup1Igravefrac14Aacutesup1Aumldraquofrac14draquoiEcircAacutewcedil4frac14dAgrave4UgraveUsup1raquoordmAaIumligraveiacuteraquoS] x4rv p ildrRtcodil|-ov pwv P4vFodOslashodshyiUrv paumlumltutco Iumleh=AumldcedilwOgraveregAringgt[cedilAtilde5Atilde5Agrave5Atilde|Iumlfefrac14AacuteAtilde5Aringicirc]iquestatilde]Iuml] dividedugravedugrave|ugrave iquestpound`currenatildeOuml~frac14Aacutesup1frac14dfrac12AEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoTAumldOgrave=Agrave5Auml|frac12Aumlcedilysup1Igravefrac14ordm|Atilde5AEligampfrac14dAgrave5Agrave5Aumlcedil4Ecircsup1raquo~ordmAacuteAumlUacuteaacuteTHORNaringOgraveregAumldcedilIgravefrac14dfrac12currenEumlsup1AEligwIgraveaIumlyigraveraquo13] x4~rv p4PlrRtcodPld=od5v pv i vodododpFtu pwl4UtcldPx4shyl not vysectpqo v tu not Iumlatildefrac14dsup1raquoLAacute UumleAacutesup1Atilderaquo~raquo~Atildediquestieacutecedil4frac14raquo~Agrave5AtildedIumlfcedilAtildeAgrave5sup1Auml|AEligwAumliquesteacute=IumlEgravefrac14raquoiEcirc aacuteIacuteIumlcurrenZEgravefrac14cedilfrac12frac14dAring~EcircS] dividedugrave|ugraveUuacute iquest` Z-EumliacuteatildeUOuml~frac12sup1raquo~Atildeaumlfrac14dAgrave Aacutesup1Acirc|AtildeOtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAEligOgraveregAumldcedilOgraveRfrac14AEligqAacuteAcircUsup1EcircAtilde5AumltimesAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIumlOacuteigraveraquo13] x4rv p ildrRtcodil|od5v pv P4vaeligod x4shy(l not vUacutesectpqo4v 4tu not IumlETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1Riquest[cedilAtilde5Atilde5Agrave5Atilde|Iuml

szligAumldraquoOgraveufrac14cedil4EcirciquestszligyIuml] uacute_^J^q iquest` szlig9Atilde5ordmdsup1AumldraquoEumlsEacuteifrac14AEligwAtildeEcircFAEligqAacutewcedil4frac14ZAacuteAtilde5ordm|sup1Atilde5AEligeOgraveuAumlcedil-frac14dAgraveAacutesup1AcircnAtildeEgraveAgraveAuml|raquoLAacuteAuml|AringcedilIgrave(AumlUEcircAtilde5frac12AElig_aIuml x4~rv p4PldrRtcoPl|poundUodUp il|WoqodshyiUrv paumlumltutco I v dividezw iquest divideddividez^+yUdivide uacute Iuml

atildefrac14Igrave(AEligwAuml|raquoiquestzhIumliquestzIumlzZ=frac12frac14raquo~AgraveEumleacuteAtildecedil4frac14AringiEcirciquestJ[NtildeIumldagraveAringEacutePAtildecedilwAacuteiquestfrac14draquo~Ecirc dIumlJregPAtildecedilAring~Eacutesup1frac14I] dividedugravedugrave|ugrave iquest` agrave frac12Atilde5Acirc|Atilde5frac12UAEligwAtildeAacuteIgrave(AumlUEcircAtilde5frac12nOgraveregAumldcedilsup1Igravefrac14ordm|AtildeAgrave5frac12frac14dAEligwAEligwsup1siAgravefrac14ZAacutesup1Auml|raquo13aIuml x4~rv p4PlrRtcodPldpoundUodUp4Pl|BoqNtildeodshyiUrv pOtildeumltreg4tRod shy v Ew iquest uacute r4y~uacute4^Er Iuml

atildefrac14raquo~ordmdCcedilgsup1raquoAtilde|iquest9atilde]IumlEgravefrac14draquo~Ecircszlig0IumlampiexclAumldcedilraquoAtilde v Atilde5EcircAElig5Iuml w ] uacute_^J^ Uiquest ~vIacuteo|odUpaumltushyl not vipqo4v 4tu not ldP|m4oo4uml Iumlh=Icircifrac14dOumlIgravefrac14draquodegmacriexclampfrac14dfrac12frac12RIumlatildeAtildeAacuteIcircsup1frac14draquoiquestdIumlplusmn] uacute4^z^|ugrave iquestU` oAringIgrave(Atildecedilsup1Agravefrac14dfrac12Ufrac14frac12ordm|Aumldcedilsup1currenAacuteIcircIgrave(AEligWOgraveuAumldcedilOumlcedilAuml|Oumlifrac14ordmnfrac14ZAacutesup1raquoordmsup1raquoLAacuteAtildecedilwOgraveRfrac14Agrave5Atilde5AElig_]Jiexclampfrac14dIgrave(sup1frac12currenAacuteAuml|raquoEumldnfrac14dAgrave5AumldEacute~sup1

AtildeecircLAringifrac14Aacutesup1Aumldraquo~AElig-frac14draquoiEcircAgraveAuml|raquo~AEligwAtilde cedilAcirc|frac14ZAacutesup1Aumldraquo(frac12frac14CcedilgAElig_aIuml poundUodUp4Pl|]oqEgraveyen$t lv pv rRtcl| voshyv rRp~ iquest uacute4Uuacutey~uacute x uacute IumlatildeAtildeAacuteIcircsup1frac14draquoiquestAdIuml] uacute4^J^ xiquest kWvndvB]v r j v rregod IumlcurrenhEgravefrac14dIgraveNtildeEacutecedilsup1EcircordmdAtilderaquosup1AcircPIumlAfecedilAtilde5AEligwAElig5Iumlatildesup1Ecirc~Ecircsup1ecircUsup1Riquest4bIumliquest_yenNtildeIumlBfrac14Aring~Ocirc5sup1Gsup2AtildecedilAtilde|iquestagraveyIumlETHWfrac14draquoraquo~Atilde5raquoUEacute~frac14dAring~IgraveUacuteiquest5frac14draquo~EcircNtildeatildePIumlregPAring~Agrave4UgravenAtildecedil4] uacute_^J^ xUiquestE`currenagravegcedilAtildefrac149frac14draquoiEcirc$frac12Atilde5raquoordmdAacuteIcircyIgrave(sup1raquoEuml

sup1Igrave(sup1Ocirc5sup1raquoordm sup3iAumlCcedilgAEliggOgraveuAumldcedilAEligwIcircifrac14OumlPAtildeyAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo13aIuml xQ|||~pwl~ lnrRtcodoOtildex4shyl not vsectEgravepwo4v tu notordf v Ew iquest qEz+yqzqE Iumlyen=AtildeOcirc5Ocirc5sup1RiquestagraveyIumliquest5agrave0Iuml5ETHEgraveAEligfrac14dsup1Riquestfrac14draquo~Ecirc$agrave0Iuml Ucirc sup1frac12frac12AEligwUgraveLfrac34] uacute4^z^J^ iquestJ` agraveaeligAEligqAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12Ufrac14dOumlOumlcedilAumlnfrac14Agrave IcircampAacuteAumlgAEligwraquo~frac14dUgravenAtilde5AElig]OgraveuAumlcedilWEacutesup1Igrave(AumlUEcircfrac14dfrac12frac14draquoiEcircAacutewcedilsup1Igrave(AumlUEcirc~frac14frac12isup1Igravefrac14dordmdAtildecedilwfrac34aIumligraveraquo13] x4rv p ildrRtcodil|eodv pwv P4vyodx4shyl not vgsectpqo v tu not IumlAb$AumldEacutePAtildednfrac14dOuml~frac14draquoIumlreg]IcircUAringiquest]atilde]Iumlfrac14raquoiEcircaumlagrave0Iumleyen=Aringsup1frac12frac12AtildeJ] uacute_^J^ xUiquestpound` szlig9Atilde5ordmdsup1AumldraquotimesAgrave5AumldIgrave(OumlPAtildeAacutesup1currenAacutesup1Auml|raquo13]iAring~raquo~sup1currenOgraveYacutefrac34sup1raquoordmiexclAEligwraquo~frac14dUgravenAtilde5AElig5iquestPcedilAtildeordm|sup1Auml|raquoTordmdcedilAumlCcedilgsup1raquo~ordmiquestfrac14draquoiEcircZEgravefrac145frac34LAtilde5AEligacute|aacuteTHORNOgraveregAumldcedilIgraveFAring~frac12currenAacutesup1Eacuteifrac14raquoiEcirc sup1Igravefrac14ordm|AtildeTAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo13aIuml xQ|||micro~pwld lnrRtcodtimesosect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4v Icent iquesteJ q+yU^dugrave|ugrave Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfo

i $amp)(+-)013021+345627893lt=gt9A6CBfrac12OcircacuteIshyNT

frac12OcircacuteIltNTpara frac12frac34EMeJaumlQcYZYZjJUacuteQsY H [ ^QEgraveJLhZJUO H QcN H J H MeJordfXiacute[]fcfR[WQcO[Oslash^e[]ZaringNPQsOXiacutejOb H QR[]ONPfdaringocirc|adOuml times jOcircaacute uuml times a2atildeltszligaumlgtszliglOuml times j atilde auml

G QsObnJ H MJeumlYZJ H [SXIacuteNPfcfUacute^e[]ZaringNPQsOYMNPY Oe[ H N Y H hjb H jhZJ`[SXUPJUb H [PhQcNPfOtildeYZKNPbnJSefRJ H jYZ N`PJ H MeJeumlhZJ[]QR[]OYJUP[]fVUPJ H MehZ[]j[]M NrXqNSZaringQcfVm [SX H hNPOYYX[PhlZ N H QR[]OYa(|aagraveszlig jj emiddot iacuteaumlYlZOslash[[ H MaNPO^ centQ ~JUb H QVUPJS^ not [PhNOslashKEgrave[]QcO H $ aacute atildeshyszligaumlN eFWFJTOe[ H JSaring$ aagravej|aacutemiddot|aagraveszlig $ j WiexclQ H M |a s szlig $ jaacute $OumlcopytimesaagravejOcircaacutemiddot|aagraveszliglOumlutimesdj WiexclQ H M |a s szliglOumlcopytimesAjOcircaacuteAumlOumlutimes9J H jY H MeJUO^JOeJ H MeJordfUPJUfR[WbLQ H moUPJUb H [PhdY JUfs^kfrac12 YZjbM H MN H aringfrac12sup1aagraveszlig $ aagravejj|aacute aelig |aelig agrave aagraveszlig $ j YlaquoXiacuteNiharingNPY H MeJ bn[]ZOslashKj H N H QR[]O[SX H MeJ ^eJLhQU~N H QVUPJ QcYOslashbn[]ObnJLhOeJU^OeWFJNihZJQcOWVH JLhZJUY H JU^ QcO YYZaringNPfcfOtilde^JX[PhlZ N H QR[]OY^ J H MBjYJkWKNPO^ H MeJ H hNPOYX[PhZaringN H QR[]ONPbLbn[Ph^QcO[ H [hdY H [Ph^eJLh NmWfR[PhyacuteXiacute[PhlZtimesjfcNaring|aagraveszlig $ jpoundaacuteAElig|a s szlig $ j agrave aelig |aelig agrave a s szlig $ jaacute $ ragrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacute frac14 frac14 a s szlig $ j^ J H MeJUOQcO H hZ[W^jbnJ H MehZJLJgZ NPQcO^eJOQ H QR[]OYaringf^QMeJg0jfRJLhQcNPO^eJLhQU~N H QVUPJOtilde[SXocirc|adOuml times jordfaqQcO H MeJIacute^QRhZJUb H QR[]O[SXcedilfrac12jaring ocirc|adOumlcopytimesszlig_frac12jOcircaacutefcQZUcedil iacute ocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave admacrfj ^QMeJgZaringN H JLhQsNPfg^eJLhQVUiN H QVUPJOtilde[SXuumlStimesYa $ szliglOumlcopytimes)jaringsup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j|aacutefcQZUcedil iacute uumlStimesa $ ragrave3frac12ba $ jszliglOumlutimes agrave3frac12sup1a $ jj uuml]timesa $ szliglOumlcopytimesdjagrave admacr j^QMeJaumlYZMNiKEgraveJOtilde^eJLhQU~N H QVUPJOtilde[SXOcircuuml]timesa $ szliglOumlutimes)jaring

uumlnotraquotimes a $ szliglOumlcopytimesUcircszlig_frac12 jaacutefcQZUcedil iacute uumlStimesYa $ szliglOumlutimesragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave admacrS]j

uumlnyacutenthornnyumll13YSordmY_Fordfy

yenKbrvbarsect =4 acirc $ hq centUWQR[]jYZfVmSe-centmaJkBKNPO^QcO[ admacr jUacuteNPbLbn[Ph^QcOF[ H [hdY H [Phd^eJLhordfNmBfR[PhordfXiacute[PhlZtimesjfcNeWFJaumlMNUPJSaring sup1uumlStimesYa $ szliglOumlcopytimesUcircszlig_frac12 jaacuteAumluumlnotraquotimes a $ szliglOumlcopytimesszlig_frac12jhuumlStimesa $ szliglOumlcopytimes)j frac12sup1a $ j admacrj J H MeJUOabn[]ZOslashK-j H JZOslash[PhJaumlKhZJUbLQcYZJUfVm H MJ0jfRJLhQcNPO ^eJLhdQVU~N H QUPJauml[SXcopyocirc|adOumlcopytimesdj^ JMNUPJSaringocircOcircadOumlutimesaagravejj ocircOcircadOumlutimes)jagrave aacute fagrave = thorn yuml uuml times a $ aagravejszliglOuml times aagravejj $ uuml times a $ szliglOuml times j $ FH admacrSmacr]j5O H MJohY H QcO H J[PhdNPfdeltWFJZaringN`PJ H MeJU~NihdQcNicentfRJ bMNPO[PJ $ aagravejaacute $ agrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacuteethicirc7a2atildeshyszligaumlFjszligicirc cent a2atildeltszligaumlj eWMQcbdM[]QVUPJUYaring thorn yuml uuml]timesYa $ aagravejszliglOumlcopytimesYaagravejj $ aacute admacrS]j

5 uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlutimes agrave3frac12sup1a $ jjlt^eJ H ocirc a $ jlt $WMJLhZJocirc a $ jQcY H MeJgXiacute[]fcfR[WQcO[aringSNPbn[PcentQcNPOtZaringN H hdQkKaring

ocirc a $ jaacute oacute fcedilxagrave frac14 iacute oslashfrac14Uordm agrave frac14 iacute oslashfrac14 ugraveagrave frac14 iacute acircfrac14ordm fcedil agrave frac14 iacute acircfrac14 ugrave ocircNPO^ YZ[eFWNtildeJIacuteMNUPJSaring

^eJ H ocirc a $ jOcircaacute fUragravee^QVUKafrac34frac12sup1a $ jjragrave cent ^eJ H amacr frac12sup1a $ jjMJUOWNtildeJauml[Pcent H NPQcOOaring

fsQZcedil iacute ^eJ H ocirc a $ j fagrave aacute ^QVUKafrac34frac12sup1a $ jj admacr]zSjMJJBjN H QR[]OxadmacrSmacr]j H MeJUOcent=JUbn[]ZaringJUYaringocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave aacute fagrave middot uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jjlt 13raquo ocirc a $ jlt $ uumlStimesa $ szliglOumlcopytimesAj $ admacrSi]j JTbLNPO`YZjeKKEgrave[]YJ H MN H ^eJ H aocirc a $ jjfrac14aacute sfrac12 agrave frac12 $ ^ JZaringNm H MeJUO H N`PJ^eJ H aocirc a $ jjfrac34 s eNPO^ WNtildeJ ^eJUPJUfR[PK H MeJaJkWKhZJUYYZQR[]OadmacrSi]j NPYoX[]fsfR[WQsO[centmNP^^QcO[aringN H JLhZ QcO H MeJIacuteYZJUbn[]O^aQcO H J[PhNPfltWMQcfcJaumlYZjeKKhJUYZYZQcO[ H MeJtimesYZNSZOslashJ H JLhlZQcO H MJordfhY H QcO H J[PhNPfdaring ocirc|adOumlcopytimesYaagravejj ocirc|adOumlcopytimes)jagrave aacuteegraveOtildef1rOtilde cent admacrSh]j

uumlnyacutenthornnyumll13YSordmY_Fordf

s $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJSaring

Otilde aacute uuml]timesa $ ragrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave ^eJ H aocirc a $ jj $ ad s jOtilde cent aacute uuml]timesa $ szliglOumlcopytimesdj ^eJ H aocirc a $ jj fagrave $ adfj

9J H jY_ZaringN`PJordmagrave H JUO^ H [WNih^Y s ^curreniquestYZQcO[frac34admacrjiexclNPO^JOQ H Qc[]OYadmacr e macrS]jeWFJ[PJ H aringfcQZUcedil iacute Otilde aacute sup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j $

aacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ uuml times a $ szliglOuml times j frac12sup1a $ j $fcQZUcedil iacute Otilde cent aacute uuml]timesa $ szliglOumlcopytimesdj^QVUKafrac34frac12 j $

O^ Y[Xiacute[Ph H MeJgNtildejfRJLhQsNPO ^eJLhQVUiN H QVUPJSeWFJgO^Oaring ocirc|adOuml times szlig_frac12jumlaacuteyacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ amacrreguumlStimesYa $ szliglOumlcopytimes)j frac12sup1a $ j7 uuml]timesYa $ szliglOumlcopytimes)j^QVUKafrac34frac12sup1a $ jjj $aacute uumlnotraquotimes a $ szliglOuml times szlig_frac12j $ ^QVUKaduuml times frac12j $ ad j

MeJUO NiKKfVmWQcO[ H MJ hJLJUOWVAQRJZ NPOO H MeJL[PhZJZQcO ad jeWNtildeJ5ONPfcfmtimes[Pcent H NPQcOOaring ocirc|adOumlcopytimesszlig_frac12jOcircaacute uuml raquotimes a $ szliglOumlcopytimesUcircszlig_frac12j $ uacutefrac14 5 uuml]timesYafrac34frac12 eacuteAgraveiquestsup1AacuteAtildeAcircj THORN adS]jWMJLhZJ5eacuteAgraveiquestsup1AacuteAtildeAcircyQcY H MeJUacutejOQ H QcOOgraveWNih^ Oe[PhlZaringNPf H [ aelig OumlcopytimesUcirc^MeJ_NtildejfRJLhQcNPO ^eJLhQVUiN H QVUPJQcY(O[ H JU^ ocirc raquo aagravej(QcO H MeJaumlKNiKEgraveJLhNPO^ H MeJaumlYZMNiKEgraveJauml^eJLhQU~N H QVUPJyuuml raquotimes QcY(Oe[ H JU^ frac14 frac14 ^iquest acutemicrosup1cedilFLft not [PhyYQZOslashKfcQsbLQ H mSeWNtildeJ(bM[[]YJ H MeJcopyXiacute[]fcfR[WQcO[_U~NihQsN H QR[]OaeligQcO H MeJKhZ[B[SXaring$ aagravejaacute $ agrave3frac12sup1a $ j^MJiexclKh[[SXZaringNm NPfcYZ[IacutecentEgraveJiexcl^JUPJUfR[PKEgraveJU^WiexclQ H MZaring[PhZJ_[PJUOJLhNPfUiNihQcN H QR[]OYFYjbM NPYaring $ aagravejaacuteAacuteAgravea $ szligYagravejWQ H MAcircAgrave`NOslashYYZOslash[B[ H MXiacutejOb H QR[]ONPO^AcircAgravea szligYagravejcentQ ~5JUb H QVUPJS^

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ ffrac12OcircacuteIshyNT AcircE J(MNUPJ H [Otildebn[]ZOslashK-j H J H MJNtilde^QEgraveJLhZJUO HH JLhZaringY9[SXQa macr]j9QsOauml[Ph^eJLh H [Uacute[Pcent H NPQcO H MeJ

JUP[]fcj H QR[]OJBjN H QR[]O[SX H MeJ NPb H QUPJ bn[]O H []jehX[Ph H MeJ ^JUYZbnhQRK H [PhdYaumlcentNPYJU^Oacute[]OH MeJ(bn[U~NihQsNPObnJ ZaringN H hQVktimes^eJ H JLhlZ QcONPO H a2Ograveh]j^OgraveMeJ(bn[]ZOslashKj H N H QR[]OaringQcYampKEgraveJLhYXiacute[PhlZOslashJU^Xiacute[Ph H MeJIacute^eJUYZbnhQRK H [Ph_uuml thorn timesOslash yuml ^ q centUWQR[]jYZfmSeN YZQZ QcfcNihbn[]ZOslashKj H N H QR[]OabLNPOacent=JIacute^e[]OeJXiacute[PhOcircuuml thorn UgraveUcircUacuteUuml yuml ^ JiexclbLNPOaeligJkBKhJUYZYOcircuuml thorn timesOslash yuml NPYyNUacutebn[]ZTcent-QcON H QR[]Oaelig[SXgtXiacutejOb H QR[]OYamp^eJLKEgraveJUO^QcOF[[]O H MJOtildehZJ[]QR[]OwOuml timesOslash aring

uumlgtthorn times Oslash yuml a2atildeltszligaumlgtszligYagravejaacute`Ograveoacute m thorn timesOslash yumlaIgraveagrave thorn timesOslash yumlAtilde j cent ocirc adjWMJLhZJordmaacuteAuml85eWiexclQ H MAring8 H MeJordfXqjOb H Qc[]O QcO H h[B^jbnJU^ QcOpounda2Ograveh]je-NPO^aringm thorn timesOslash yuml aacute agrave thorn timesOslash yuml agrave thorn timesOslash yumlcent agrave thorn timesOslash yuml agrave thorn timesOslash yumlAElig agrave thorn times Oslash yumlCcedil agrave thorn timesOslash yumlEgrave agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlEgrave j cent agrave thorn times Oslash yumlcent aIgraveagrave thorn timesOslash yumlCcedil j cent agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlAElig j centWQ H MOaring EFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFH

agrave thorn timesOslash yuml aacute w$ thorn yuml aOtilde S times Oslash j cent atilde aumlagrave thorn timesOslash yumlcent aacute w$ thorn yuml aOtildeOgravecent Scenttimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yuml aacute w$ thorn yuml aOtildeS Stimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yumlAElig aacute w$ thorn yuml aOtilde S times Oslash jaOtildeOgravecent ScenttimesOslash j atilde aumlagrave thorn timesOslash yumlCcedil aacute w$ thorn yuml aOtilde S times Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlEgrave aacute w$ thorn yuml aOtilde cent S centtimes Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlAtilde aacute w$ thorn yuml atilde auml O^ Y[ H MJordfXiacutejOb H QR[]OY aelig thorn timesOslash yumlauml MNUPJ H MeJgXiacute[]fcfR[WiexclQcO[aeligJkBKhZJUYZYZQR[]OYaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

aelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlcent aacute aOtilde cent S centtimesOslash j centaelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlAElig aacute aOtilde S timesOslash jaOtilde cent S centtimesOslash jaelig thorn times Oslash yumlCcedil aacute aOtilde S timesOslash jaOtilde S timesOslash jaelig thorn times Oslash yumlEgrave aacute aOtildeOgravecent ScenttimesOslash jaOtilde13 StimesOslash jaelig thorn times Oslash yumlAtilde aacutemiddotf

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBnot h[]Z H MeJUYJaumlJkWKhZJUYYZQR[]OYeWFJOtildeJUNPYZQcfm ^eJU^jbnJ H MN H aring

$ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde aumlregaacute sEacutefrac12poundEcirc iuml

J H MeJUO MNUPJ H [Tbn[]ZaringKj H J H MeJ H JLhlZaringY eacute thorn times Oslash yumlauml XiacutehZ[]Z H MeJJkWKhZJUYZYQR[]OYamp[SXagrave thorn timesOslash yumlauml eWMQcbM fRJUNP^Y H [aringEFFFFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFFFFH

eacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideoslash aacute w$ thorn yuml uacute ouml $ordfdivideacirc uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIgrave yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H a timesOslash jjeacute thorn timesOslash yumlcent aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideacirc

aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIcirc yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideEuml aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideacirc thorn thorn uacute ouml $_divideIuml yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yumlAElig aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIuml aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideEuml uacute ouml $ordfdivideIuml thorn uacute ouml $_divideIcirc uacute ouml $ordfdivideIgrave yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlCcedil aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIcirc aacute w$ thorn yuml cent thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideacirc uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlEgrave aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIgrave aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideoslash uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlAtilde aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIacute aacute w$ thorn yuml thorn +ETH ouml $_dividethorn uacute ouml $ordfdivideIacute yuml Iuml 8 raquo aq^J H a timesOslash jj

O^centmJkWKhZJUYZYZQsO[ H MeJbn[UiNihQcNPObnJZaringN H hQVkpoundWQ H M H MJregXqjOb H QR[]OYagrave thorn timesOslash yumlauml NPYXiacute[]fcfR[WQcO[aring

timesOslashlaquoaacute 1NtildeNtildeNtildeNtildeNtildeNtilde3uacute ouml $ordfdivideoslashuacute ouml $ordfdivideIacute uacute ouml $_divideIumluacute ouml $_divideIacute uacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIumluacute ouml $ordfdivideIacute uacute ouml $_divideacircuacute ouml $_divideIacute uacute ouml $ordfdivideIgraveuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacute uacute ouml $_divideIgraveuacute ouml $_divideIacute uacute ouml $ordfdivideEumluacute ouml $ordfdivideIacute

6OgraveOgraveOgraveOgraveOgraveOgrave7 J H MJUO^eJU^jbnJSaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

eacute thorn times Oslash yuml aacute a fj thorn yuml ^eJ H aDC Ptimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlcent aacute a fj thorn centcent yuml ^eJ H aDC centcenttimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yuml aacute a fj thorn curren yuml ^eJ H aDC 4times Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlAElig aacute a fj thorn cent yuml ^eJ H aDC centtimes Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlCcedil aacute a fj thorn curren yuml ^eJ H aDC times Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlEgrave aacute a fj thorn centcurren yuml ^eJ H aDCcent4times Oslash j48 raquo aq^eJ H a timesOslash jjeacute thorn times Oslash yumlAtilde aacute amp^eJ H a timesOslash j48 raquo aq^eJ H a timesOslash jj

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ SWMJLhZJC EBtimesOslash QcY H MeJgZaringN H hdQk ^eJU^jbnJU^Xh[]ZOacutetimesOslasharingcentm YZjeKKhZJUYZYZQcOF[ H MeJyuuml UumlON hZ[WNPO^ H MJ I UumlON bn[]fcjFZaringOO^]MeJbn[]ZOslashKj H N H Qc[]OordmX[Ph H MeJ^eJUYZbnhdQRK H [Ph|uuml thorn UgraveUcircUacuteUuml yuml QcYyYQZaringQcfcNihNPO^WFJ H MeJUOOslashMNUPJNPfcf H MeJ(JkWKhZJUYZYZQc[]OY H [aumlbn[]ZOslashKj H J H MeJJUP[]fcj H QR[]OaeligJjN H QR[]OXiacutehZ[]Z H MeJg[PJUOJLhNPfOXiacute[PhlZIacutejfcNta macr]j^gtMQcYcopy[]QVUPJUY H MeJTJUP[]fcj H QR[]O JBjN H QR[]Osup1admacr s j^

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBΩ out

Objects

Γ

inΩ

inΩ

Background Part

-t not Upv copy ETHEgraveIcircAtildeampAacuteiacuteCcedil=AumlFcedilAtilde5ordm|sup1Aumldraquo~AElig9AumldOgravefrac14raquoUacutesup1Igravefrac14dordm|Atilde

Ω

Ω out (τ)Ω

(τ)in

N

Γ(τ)

Ω

N

v

w

N

-t not Upv ETHEgraveIcircAtildeyEcircAumldIgravefrac14dsup1raquo~AEliggfrac14raquoiEcircAacuteIcircAtilde$AcircnAtilde5AgraveAacuteAumlcedilAEliggsup1raquoUAcircnAumldfrac12AcircnAtildeEcircsup1raquoiexclAacuteIcirc~Atilde$EcircAtildecedilsup1Acirc|frac14ZAacutesup1Aumldraquo

uumlnyacutenthornnyumll13YSordmY_F2ordf

yenKbrvbarsect =4 acirc $ Smacr

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 Atilde|IumligraveAacuteAtildecedil4frac14ZAacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvyzU eacuteWsup1ordm|AringcedilAtilde5AEligfrac14iquest Eacuteiquest AgraveJ]iUumlAcircnAumldfrac12AringAacutesup1Auml|raquoOtildeAumlOgraveeAacuteIcirc~Atildeyfrac14dAgrave Aacutesup1Acirc|Atilde0AgraveAuml|raquoLAacuteAuml|AringcedilIgravefrac14raquoifrac14ordm|AtildeEcircUacuteEacuteLfrac34AacuteIcirc~AtildefTHORN$Uuml v qzqwsup1raquo~Agrave5frac12AringiEcircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquoifrac14frac12ampAacuteAtildecedilIgrave(AElig5IumlgeacuteWsup1ordm|AringcedilAtilde5AEligOtildeEcirc]iquest Atildediquest Ograve] g sup1AEligwAringifrac14frac12sup1Ocirc5frac14Aacutesup1Auml|raquo`AumldOgrave0AacuteIcirc~AtildeTAgrave5AumldcedilwcedilAtilde5AEligwOumlPAumldraquoiEcircsup1raquoordmAcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 OgraveuAring~raquoAgraveAacutesup1Auml|raquosup1raquo~Agrave5frac12Aring~Ecircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquo~frac14dfrac12ampAacuteAtildecedilIgrave(AEligraquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirc EacutePAtildeAacuteiacuteCcedil=Atilde5Atilde5raquo ugrave frac14draquoiEcirc divide JUiquestAEligwAring~Agrave4IcircTAacuteIcirc~frac14Aacute$AacuteIcircAtilderaquo~Atilde5ordm|frac14Aacutesup1AcircnAtildeAcircdfrac14dfrac12AringAtilde5AElig0frac14cedilAtildefrac12AumlCcedilEgraveAtildecedilyAacuteIcirc~frac14draquo uacutedivide Uacutefrac14raquoiEcircaumlAacuteIcirc~AtildeOumlPAumldAEligwsup1Aacutesup1AcircnAtilde(Aumldraquo~Atilde5AEligyfrac14ZcedilAtilde(Icirc~sup1ordm|IcircAtildecedilAacuteIcircifrac14raquo uacuteZdivide Iuml

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

Ecirc]Iumligraveraquo~sup1currenAacutesup1frac14dfrac12BAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 Atilde|IumligraveAacuteAtilde cedil4frac14Aacutesup1Auml|raquo ugravedugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not Upv ucirc eacuteWsup1ordmdAringcedilAtilde5AEligtimesfrac14iquest Eacuteiquest AgraveJ]ampUumlAcirc|Auml|frac12AringAacutesup1Auml|raquoAumlOgrave(AacuteIcirc~Atildearingfrac14AgraveAacutesup1AcircnAtildeOslashAgrave5Auml|raquoLAacuteAumldAringcedilIacuteIgravefrac14draquoifrac14ordm|AtildeEcirc`EacuteUfrac34AacuteIcircAtildeOcircfTHORN$Uumlv q w iquestiexclCcedilgsup1currenAacuteIcirc~AumldAringAacuteAacuteIcirc~Atildefrac14dEcirc~Ecircsup1Aacutesup1Aumldraquoifrac14dfrac12TAacuteAtildecedilIgrave(AElig5IumliexcleacuteWsup1ordm|AringcedilAtildeAElig Ecirc]iquest Atildediquest Ograve] g sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo AumlOgraveaeligAacuteIcirc~AtildeAgraveAumldcedilwcedilAtildeEumlAEligwOumlPAuml|raquo~Ecircsup1raquo~ordm AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 OgraveregAring~raquo~Agrave Aacutesup1AumldraquoeumlCcedilgsup1currenAacuteIcirc~Auml|AringAacuteIacuteAacuteIcircAtilde frac14|Ecirc~Ecircsup1currenAacutesup1Aumldraquoifrac14frac12FAacuteAtildecedilIgrave(AElig v raquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirceumlAEligwAring~Agrave4Icirc AacuteIcirc~frac14AacuteIgravefrac14icirc vOOtilde wpOumldivide z w Iuml

uumlnyacutenthornnyumll13YSordmY_F2

S $amp)(+-)013021+345627893lt=gt9A6CB

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIumligravesAacuteAtildecedil4frac14Aacutesup1Aumldraquogt ugrave|ugrave AgravedIumlieacuteWsup1raquoifrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12Acirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 AtildedIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIumlieacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvtimesLg sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo(AumldOgravePAacuteIcirc~AtildeAtildeAcircnAuml|frac12AringAacutesup1AumldraquoAumldOgravePAacuteIcircAtildeEgraveAgrave5Auml|raquoLAacuteAumldAringcedil-frac14draquo~EcircNtildeAacuteIcirc~AtildeEgraveAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 v Ccedilgsup1AacuteIcircAuml|AringAacuteAacuteIcircAtildeEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircFAacuteAtilde cedilIgrave w OgraveregAumldcedilEgraveAacuteIcircAtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoAumlOgraveAacuteIcircAtilde9Ograveufrac14dAgrave5AtildeAring~AEligwsup1raquo~ordmyAacuteIcirc~Atilde9Agrave5AumlZAcirc|frac14Zcedilsup1frac14draquo~AgraveAtildeIgravefrac14Aacutewcedilsup1currenicirc]Iuml

frac14Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcircnAtilde EacuteIumligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 v AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde w Agrave|Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacutefrac34 v Acircdfrac14cedilsup1frac14draquoAgrave5Atilde w-t not Upv h=AumldIgrave(Oumlifrac14cedilsup1AEligwAumldraquoOtildeAumldOgraveAacuteIcirc~Atilde$sup1raquo~sup1currenAacutesup1frac14dfrac12eAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34iexclAgrave5Auml|Igrave(OumlAringAacuteAtildeEcircAringAEligwsup1raquo~ordmAacuteIcirc~Atilde$AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde0Igravefrac14Aacutewcedilsup1currenicircv iordmdAringcedilAtildeFEacute w AacuteAumliexclAacuteIcircAtildeAuml|raquoAtildeFAgrave5AumldIgrave(Ouml~AringAacuteAtildeEcircTAringAEligwsup1raquo~ordmiexclAacuteIcircAtildeFAcircdfrac14cedilsup1frac14draquoAgrave5Atilde v ~ordm|AringcedilAtildeFAgrave w OgraveregcedilAumldIgrave AacuteIcirc~AtildeNtildeAEligfrac14dIgrave(Atildesup1raquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcirc|Atilde v iordmdAringcedilAtilde$frac14 w Iuml

uumlnyacutenthornnyumll13YSordmY_F2_a

yenKbrvbarsect =4 acirc $ ]z

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv Oslash| THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5AtildeccediliacuteAtildecedilsup1UgraveUegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_o

Si $amp)(+-)013021+345627893lt=gt9A6CB

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv ordf THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5Atildeccedilqfrac14dUgraveUsup1currenfrac34LAumldegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_y

RR-0114-SJEHANpdf
  • wwwi3sunicefr
    • httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf
Page 22: LABORATOIRE INFORMATIQUE, SIGNAUX ET SYSTEMES DE …mh/RR/2001/liste-2001.pdf · 2002. 6. 27. · [Dir01] DIRAT L. “Outils pour des Mathématiques Interactives et Distribuées”

f $amp)(+-)013021+345627893lt=gt9A6CB5OOtilde[Ph^eJLh H [bn[]ZaringKj H J H MJ0^eJLhQVUiN H QVUPJy[SX H MJNtildebnhQ H JLhdQR[]Olaquoocirc aagraveje H MJNtilde^QcYbn[]O H QcOBjWVQ H QcJUY|ZtimesjY H JkWKfcQcbLQ H fVmIacutecentEgraveJ H N`PJUOQcO H [IacuteNPbLbn[]jO H ^ not [Ph(YZjbdM NIacuteKjehZKEgrave[]YJSeSWFJ5hY HhZJUbLNPfsf-N[PJUOeJLhNPf H MeJL[PhJZbn[]ObnJLhOQcO[ H MeJUacute^eJLhQVUiN H QVUPJ[SX9N H QZOslashJnV4^eJLKEgraveJUO^JUO HbnhQ H JLhQR[]OO^9J H jY(^eJ-OeJyOumlcopytimesaagravejNPYNOslashhZJ[]Qc[]OQcObLfcj^eJU^QcO H [regOumlordf^yacute5 q Ntilde_ f^1ltuumlStimesBiexcl centpoundcurrenyencurrenbrvbarsectumlordfcopynotlaquo3shyyenLregmacrcurrenRlaquodegcurrenbrvbarlaquo Oumlplusmna s szligsup2|iexcljsup3acute Rlaquomicromiddotparagtltocirc|aagravejOcircaacute w thorn yuml uumlStimesYa2atildeltszligaumlgtszligYagravej atilde auml~sup3cedilsectsup1ltlaquoordm ocirc agrave aacuteocirc7raquodaagravejOcircaacute thorn yuml aelig uumlStimesaelig agrave atilde auml uacutefrac14 thorn yuml uumlStimesYafrac34frac12 eacuteAgraveiquestsup1AacuteAtildeAcircYj THORNAuml sectsup1ltAringPfrac12AEligreg(centsectsup1Ccedilbrvbar_paracurrenyenshyltregLLEgraveacutecurrensup2uml aelig Oumlcopytimesaagravej RlaquomicroeacuteAgraveiquestsup1AacuteAtildeAcircEacuteregEcirccentsectsup1copysup1laquoregEumlreg(laquo Auml brvbarAringsup2microacutelaquocurrenRAringordfpound RparaIgravecurren aelig Oumlcopytimesaagravej_IacuteMJ^JLhQVUiN H QVUPJ[SXshyocircWQ H MaelighZJUYZK=JUb HampH [yagraveaeligQcY H MJyacute0jfRJLhdQcNPOIacute^JLhQVUiN H QVUPJ([SXocirc|adOumlcopytimesAjQcO H MeJOtilde^QRhJUb H QR[]O [SXEumlfrac12umleWMQcbdM bn[]ZaringKj H N H QR[]O QcY[]QVUPJUO QsO iexclKKEgraveJUO^Qkaring ^FMeJUiNihQcN H QR[]Oeuml[SX5ocirc QcYOtilde^jeJ H [ H MeJUiNihQcN H Qc[]O[SX H MeJordmXiacutejOb H QR[]ONPfOcircuuml]timesa2atildeltszligaumlgtszligYagravejaumlNPO^H [ H MeJgZOslash[ H Qc[]O[SX H MeJOtildeQcO H J[PhNPf^e[]ZaringNPQsOOumlutimesaagravej^ Y(Naeligbn[PhZ[]fcfcNihYm [SXltMJL[PhZJZfeFWFJordf[PJ H aringv q q shy9 5lt f^yenIcirccopyNcentampcentcopyIuml-Iumlsup1currenfcentyenYsectnot -sectsup1Ymicro-currenRpound Rreglaquofrac34Oumlgaagravejampreg(centpound -microETHcopyIumliexclcurrensup2uml Auml currenCIuml RAringordfcentsup3yOuml timesOslash aagravejNtilde RlaquomicropoundOumlyacuteUgraveUacuteUumllaagravejOgravecentyenfrac34Iumlsup1 brvbarAringsup2 brvbarmicro_Egraveh iexclpoundYcurrenbrvbarCcedildreglaquoNOacutehreglaquo5_Aringumllt -shytYacuteaagravejAuml sectETHregmacrshy_sectOcircCcedilRltparaOtildecurrendshyltregLLEgraveregEcirccentyacuteeumlEumlIacuteOumlsectsup1Uumlordfcopynotlaquo3shyyenLregmacrcurrenRlaquouumlOa2atildeltszligaumlgtszligYagravejreg(centcentordfcopyIuml-Iumlsup1currenfcentyenmicroOcircIgravecurrenOcirccentltfrac34Iuml RAringsup2 -_paraEgraveshycurrenRlaquo5LreglaquocopycurrenRcopynotcentcedilreglaquoyOumlcopytimesOslashKaagravejW Rlaquomicro Ouml UgraveUcircUacuteUuml aagravej_copy3pound REgraveampJmicrobrvbarregEcirccentltshycurrenRlaquo5LreglaquocopycurrenRcopynotcentJ -shyltAringPcurrenfcentcentYacuteaagravej_Iacutetimes Agravelaquocurrenbrvbaruuml thorn times Oslash yuml Rlaquomicroruuml thorn UgraveUcircUacuteUuml yuml sup3sectsup1Ccedilf brvbarparacopy5iexclcurrensup2umlwuumlreglaquoOslashAringordfcentIumlshydLreg(Ccedilbrvbar_paraEgraverOumlutimes OslashaagravejAgrave Rlaquo3microOuml UgraveUcircUacuteUuml aagravej_IacuteUgraveOumlsectNcopyNcentampsectmicroETH_Aringordfreg(CcedilR brvbarLregCcedilRcurrensup2umlordfocirc|aagravej Auml AringregLordfcent fcent_ordm

ocirc7raquo)aagravejOcircaacuteUacute thorn yuml aelig uumlaelig agrave atilde auml uacutefrac14 thorn yuml uumlOaLUcirc eacute iquestsup1Aacute j THORN uacuteucirc thorn yuml uumlNaeuml eacuteHj THORNAuml sectsup1ltAringPacute uumlNAringfrac34Iuml3AringP_centlt_laquocentYsectUumlordfcopysup1poundUgraveIumlcurrensup2umlguumlh -shyltAringPcurrenfcentcentordfYacuteaagravej_ordmW uumlNaacuteacircuuml thorn UgraveUacuteUuml yuml uuml thorn times Oslash yuml sup3eacute sectsup1ncopynotlaquo5reglaquo3currenRAringpound RparaIcirccurrensup2umlordfYacuteaagravejmicrobrvbarreg(AringshydmicroampumlAringPcurrenRpound Ouml UgraveUacuteUuml aagravejIgravecurrenOumlutimes OslashKaagravejsup3eacuteAgraveiquestsup1Aacutesectcopysup1laquoregLEumlreglaquo Auml RAringPmicroOcirclaquocurrenRAringordfpound Rpara1Igravecurren aelig Oumlgaagravejj RlaquomicroUcircYacutesectsup1jCcedilbrvbar_paracurrenyenshyltregLLEgravenCcedilbrvbarshydIgravecurrenRAringjcurrensup2uml_Oumlyaagravej_Iacute

plusmngLMOMraquo aring JbLNPO NiKKfVm MJL[PhZJZ f H [ H MeJ ^[]ZaringNPQcO Oumlutimes OslashaagravejaringNPO^ H [ H MeJ^e[]Z NPQcOtOuml UgraveUcircUacuteUuml aagravej^ ^^QcO[ H MeJ H WF[aringJjN H QR[]OYeFWFJOtilde[Pcent H NPQcO H MeJTbn[PhZ[]fcfsNihYmS^ H QcYIacuteOe[WY H hNPQ[]M H Xiacute[PhYWNih^ H [[PJ HtimesH MeJ ^eJLhdQVU~N H QUPJ [SX H MeJ bnhQ H JLhQR[]O ocirc aagravejaringWFJ H N`PJ5OumlyaagravejOcircaacuteAumlOuml H MeJiexclQZaringN[PJ^e[]Z NPQcOta not QV[^ j^MJUOOePcentmaeligJkWKfcQcbLQ H fVm H N`WQcO[

uumlnyacutenthornnyumll13YSordmY_FY

yenKbrvbarsect =4 acirc $ fH MeJtimes^QcYZbn[]O H QcOBjQ H QRJUY(QsO H [ NPbLbn[]jO HUacuteH MNPOF`BY H [ H MeJtimesbn[PhZ[]fcfcNihlmSe H MeJtimes^eJLhQVUiN H QVUPJ[SXocirc aagravejQcYcopy[]QVUPJUOacentmKaring

ocirc raquo aagravejumlaacute uacuteucirc thorn yuml uumlNaeuml eacutej THORN uacutefrac14 uumlOaLUcirc eacuteAgraveiquestsup1Aacutej THORN $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde auml thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afj

q centUWQR[]jYZfVmSe H MeJ7YJUbn[]O^ H JLhlZ [SX H MeJ7^eJLhQVUiN H QVUPJ afjaQcYcurrenLJLh[ YZQcObnJ H MeJJk H JLhONPf(centEgrave[]jO^NihYm aelig OumlD[SX H MeJ`QZaringN[PJaQcYkBJU^^OcircJLKfcNPbLQsO[` uumlN_WQ H MQ H YJkWKhZJUYZYQR[]OOeWNtildeJyO^Oaring

ocirc7raquo aagravejumlaacute uacuteucirc thorn yuml aduuml thorn UgraveUcircUacuteUuml yuml1 uuml thorn timesOslash yuml jaeuml eacuteHj THORN $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde auml thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afmacr]jMJUacute^JLhQVUiN H QVUPJOtilde[SXocirc cent aagravejQcY(bLfcNPYZYQcbLNPfdaring

ocirc7raquocent aagravejOcircaacute uacuteucirc thorn yuml a uuml thorn otilde)yumld huuml thorn otilde)yuml7 eacutejaeuml eacutej THORN af]jWMJLhZJ a2atildeshyszligaumlKszligYagravejQcY H MeJaumlbLjehlU~N H jehJ[SXQYacutea2atildeltszligaumlgtszligYagravej^MeJLhZJXiacute[PhZJSe H MeJOtilde^eJLhQVUiN H QVUPJ[SX H MeJgWM[]fRJOtildebnhQ H JLhQR[]O QsY H MeJordfXiacute[]fcfR[WiexclQcO[aring

ocirc raquo aagravejpoundaacute $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde aumlamp thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afzSj uacuteucirc thorn yuml aduuml thorn UgraveUcircUacuteUuml yuml uuml thorn timesOslash yuml uuml thorn otilde)yuml huuml thorn otilde)yuml eacutejaeuml eacutej THORN

^ ^~THORNUgrave2FEgraveOIgraveIcircIcirclt2EacuteltOacute Eacute0frac34ETH9Igrave8shyIgraveFEgraveEcirc+NtildeFETH3Ecirc+ltIgraveNtilde7==EacuteltEgrave7813Oacute14 ETHOEacute ETH9IgraveOacuteszligltOacuteshyEacuteOacuteAgrave+QIgraveFEumlEacuteAtilde=13ETH+ltIgrave5=KETHOEacuteshyEgravesup1euml5Oaelig[Ph^eJLh H [Tbn[]ZaringKj H J H MeJuUPJUfR[WbLQ H mUPJUb H [PhcopyeumleSWNtildeJMNUPJ H [yZ N`PJQ H NiKKEgraveJUNihyQcOH MeJhY HH WF[ ^e[]Z NPQcOaQcO H J[PhNPfcYiexcl[SX afzSjcentmJkWKhZJUYZYQcO[ H MeJZ NPY_XiacutejOb H QR[]OY[SX H MeJgUPJUfR[WbLQ H meumlQ^iexclJLhZJiexclWFJ H N`PJ H MeJ5[PJUOeJLhNPfbLNPYZJ5WiexclMeJLhZJ H MeJ^JUYZbnhQRK H [PhdYZaringNm ^eJLKEgraveJUO^ []OXiacuteJUN H jehZJUY5[]fR[PcentNPfsfVmN HH NPbMeJU^ H [ H MJtimeshJ[]QR[]OeumlNPO^eumlY[oZ Nm`^JLK=JUO^a[]O agrave^ JZOslash[W^eJUf$JUNPbdM^eJUYZbnhQRK H [PhIacuteNPYtimesNabn[]ZIacutecentQcON H QR[]OOacute[SXuXJUN H jhZJUYy[]fc[PcentNPfcfVmeumlN HH NPbMeJU^

uumlnyacutenthornnyumll13YSordmY_F

f $amp)(+-)013021+345627893lt=gt9A6CBH [ H MJOtildeJUP[]fVUBQsO[OslashhZJ[]QR[]OY_OumlcopytimesOslashKaagravejF[Ph_Ouml UgraveUacuteUuml aagravejaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejpoundaacuteAElig thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn timesOslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejszligiumlViumlViumlVszligagrave thorn timesOslash yumlaacute aagravejjuuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszligYagravejpoundaacuteAElig thorn UgraveUcircUacuteUuml yuml a2atildeltszligaumlgtszligagrave thorn UgraveUcircUacuteUuml yuml aagravejszligagrave thorn UgraveUcircUacuteUuml yumlcent aagravejszligiumlViumlViumlVszligagrave thorn UgraveUcircUacuteUuml yumlacirc aagravejjafi]j

WMJLhZJSaring agrave thorn(atilde yumlauml aacute 7aring thorn yuml5aelig thorn(atilde yumlauml a2atildeltszligaumlgtszligYagravej atilde auml WQ H Mpounda jOcircaacuteacircaVltjF[Pha Kf5 jiuml afh]j9J H jYuhY H bn[]ZOslashKj H J H MeJIacute^eJLhQVUiN H QVUPJOtilde[SXuuml thorn timesOslash yuml eFWFJgO^Oaring

aelig uuml thorn times Oslash yumlaelig agrave aacute aacuteccedilaumlegrave aelig thorn timesOslash yumlaelig agrave thorn times Oslash yumlauml a2atildeltszligaumlgtszligagrave thorn timesOslash yuml aagravejszligiumlViumlViumlVszligagrave thorn timesOslash yumlaacute aagravejj aelig agrave thorn timesOslash yumlaumlaelig agrave aagravej a s j J MNUPJOe[W H [bn[]ZOslashKj H J H MeJ ^eJLhdQVU~N H QUPJ [SXagrave thorn timesOslash yumlauml NPbLbn[Ph^QcO[ H [umlagrave^ JNiKK-fVm H MeJgMeJL[PhZJZigravefaumlNPO^WNtildeJy[PJ H aring

aelig agrave thorn timesOslash yumlaumlaelig agrave aacute $ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde auml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacutej THORN a fj

JLKfcNPbLQcO[ H MeJNtilde^eJLhdQVU~N H QUPJUY9[SX3agrave thorn timesOslash yumlauml WQ H M H MeJUQRhJkWKhZJUYZYZQc[]OYa fj9QcOa s jeSWFJ[Pcent H NPQsO H MJXiacute[]fcfR[WQcO[iexclJkBKhJUYZYZQR[]OX[Ph H MJF^e[]Z NPQcOaeligQcO H J[PhdNPf[SX H MeJ^eJLhQVUiN H QVUPJ[SX H MeJT^eJUYbnhQRK H [Ph uuml thorn times Oslash yuml aring

$ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde aumlacircaacute aacuteccedilaumlordfegrave -eacute thorn timesOslash yumlauml $ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde auml

aacuteccedilaumlordfegrave eacute thorn timesOslash yumlauml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacuteHj THORN a S jWMJLhZJSaring

eacute thorn timesOslash yumlauml aacute $ thorn yuml aelig thorn timesOslash yumlaelig agrave thorn timesOslash yumlauml a2atildeltszligaumlgtszligagrave thorn timesOslash yuml aagravejszligiumlViumlViumlVszligagrave thorn times Oslash yumlaacute aagravejj atilde auml a ]jMJIacuteJkWKhZJUYZYQR[]OwXiacute[Pha jyacuteaacute a Kf jiexclQcYbn[]ZOslashKj H JU^QsO H MeJaeligYZNSZOslashJordmZaringNPOOeJLhiexclWMQcfRJKNmBQsO[N HH JUO H Qc[]O H [ H MeJ`^QRhZJUb H QR[]O[SX H MeJ`Oe[PhlZaringNPfcopyUPJUb H [PheNPO^rWFJ H MBjY

uumlnyacutenthornnyumll13YSordmY_Fsup2

yenKbrvbarsect =4 acirc $ fmacr[Pcent H NPQsO H MeJg[PJUOeJLhNPfgJkBKhJUYZYZQR[]OXiacute[Ph H MeJauml^JLhQVUiN H QVUPJOtilde[SXocircOcircaagravejaring

ocirc raquo aagravejumlaacute uacuteucirc thorn yuml aduumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn times Oslash yuml uumlgtthorn otilde)yuml d hreguumlgtthorn otilde)yuml eacuteHjaeuml eacutej THORN aacuteccedilaumlordfegrave eacute thorn timesOslash yumlauml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacuteHj THORN acircccedilaumlordfegrave eacute thorn UgraveUcircUacuteUuml yumlauml uacuteucirc thorn yuml aelig thorn UgraveUcircUacuteUuml yumlauml aeuml eacutej THORN aacuteccedilaumlordfegrave -eacute thorn timesOslash yumlauml $ thorn yuml aelig aelig thorn

timesOslash yumlaumlaelig agrave atilde auml acircccedilaumlordfegrave eacute thorn UgraveUcircUacuteUuml yumlauml thorn yuml aelig aelig thorn

UgraveUcircUacuteUuml yumlaumlaelig agrave atilde auml a j^ ^ecirccopyEgraveEacuteshyIacuteIumlETH39shyIgrave8shyIgraveFEgraveEcirc+NtildeFETH3gt+QIgraveETHOEacute3iexclNtildeshyEgrave78QIcircETH9IgraveumlIgrave+EacuteltEumlETHshyETHEacuteshyOacuterIgrave5euml1ONtildeFETH32EacuteltOacuteEacute10wETH9Igrave Ntilde=KETH3gt+ltIgrave=EacuteshyOacuteshyETHEacute1EgraveMJ[P[]NPf[SX H MQsYampKNih H QcY H [aumlbn[]ZOslashK-j H J H MeJ(JkWKhZJUYZYZQc[]Oaelig[SX H MeJuUPJUfc[BbLQ H mUPJUb H [PheumlwWMQcbdMregZaringN`PJUY H MeJUacutebLjehYUPJJUP[]fVUPJOtildeNPYXiacuteNPY H NPYFKEgrave[]YZYZQRcent-fRJ H [WNih^Y(NZaringQcOQCZIacutejFZ[SX H MeJaeligbnhQ H JLhdQR[]Oumlocirc^KO`[Ph^eJLh H [ ^JU^jbnJ H MJyUPJUfR[WbLQ H mwUPJUb H [PhOtilde[SX H MeJaeligNPb H QVUPJbn[]O H []jehQXhZ[]Z H MeJF^eJLhQVUiN H QVUPJ0[SX H MeJNtildebnhQ H JLhQR[]OOeWFJMNUPJ H [5Z N`PJFNiKKEgraveJUNih H MeJUPJUfR[WbLQ H moUPJUb H [PhUacuteQcO H MJTfcNPY HH WNtilde[ ^e[]ZaringNPQcOaQcO H J[PhdNPfcY(centm JkWKhZJUYYZQcO[ H MeJZ NPYcentEgrave[]jO^NihYm QcO H J[PhNPfcY^FMQcYbLNPOaJUNPYZQcfVm centEgraveJauml^e[]OeJTjYZQcO[MJL[PhZJZigravefe-^[]ZaringNPQcOQcO H J[PhNPfcYbLNPOeumlNPfVWNmWYiexclcentEgraveJIacuteJkBKhJUYZYJU^ NPYcentEgrave[]jO^NihYm QcO H J[PhdNPfcY^gtiexcl[WFJUPJLheOXiacute[PhYZQCZOslashKfcQcbLQ H mSe-fcJ H jYbn[]OYZQc^eJLh H MeJaringbLNPYJUYgWMeJLhZJ H MeJUYJOslashfcNPY HH WNtilde[`QcO H J[PhdNPfcYOtildeNihZJJBjNPf H [currenLJLhZ[eOgraveWMQcbMaringMNiKKEgraveJUOYX[PhZOslash[]Y H hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhdQRK H [PhY^S5OH MN H bLNPYJSeNPbLbn[Ph^QsO[ H [ H MeJaeligQcOeJBjNPfcQ H m[SXvNPjbdMOgravemV G bdMOgraveWNih H currenSe H MeJXiacuteNPY H JUY H^eJUbnhJUNPYJa[SXocirc|aagravejOslashQcY [Pcent H NPQcOeJU^ XhZ[]Zecirca jOslashcentm bMe[B[]YZQcOF[beuml aacute ccedilyeacute WMQsbMfRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[aeligJUP[]fcj H Qc[]O JjN H QR[]OOaringaelig Yacuteaagravejaelig agrave aacuteFuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yuml uuml thorn otilde)yuml eacute aacuteccedilaumlordfegrave ETHeacute thorn timesOslash yumlauml aelig thorn timesOslash yumlauml acircccedilaumlordfegrave ETHeacute thorn UgraveUcircUacuteUuml yumlauml aelig thorn UgraveUcircUacuteUuml yumlauml lteacute a macr]jUcircX H MJ^eJUYZbnhQRK H [PhY$^e[TOe[ H ^eJLKEgraveJUO^times[]OregagravetaiacutehZJ[]QR[]OeV4QcO^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhYjeH MeJgiexcl hZJU^jbnJUY H [ H MeJordfXiacute[]fcfR[WQcO[aeligJkWKhZJUYZYQR[]OOaringaelig Yacuteaagravejaelig agrave aacuteigraveuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yumldn reguuml thorn otilde)yuml7 eacutelteacute a ]j

uumlnyacutenthornnyumll13YSordmY_FY

f $amp)(+-)013021+345627893lt=gt9A6CB JaeligbLNPO`O[ H QcbnJ H MN HH MeJtimes^eJLKEgraveJUO^eJUObnJauml[SX H MJIacute^eJUYZbnhdQRK H [PhY[]OwagraveeEgraveNPO^aY[ []OH MeJiexclbLjehYUPJJUP[]fcj H QR[]OOeQcO^jbnJUY0NP^^Q H QR[]ONPf H JLhlZaringYFQcO H MeJiexclJUP[]fcj H QR[]O JjN H QR[]O[SX H MJFNPb H QVUPJ(bn[]O H []jeh^SMeJNP^^Q H QR[]ONPf H JLhZaringYQX[]jO^IacuteQcOoa macr]jbLNPOOe[ H hZJUNP^QsfVmcentEgraveJtimes[Pcent H NPQcOeJU^ WMJUO H MeJOslash^mBONSZaringQcbLNPfampYZbMJZOslashJaringQcYOtildeQcO H hZ[W^jbnJU^eumlNX H JLh H MeJOslashbn[]ZaeligVKj H N H QR[]Oa[SX H MeJaelig^eJLhQVUiN H QVUPJaeligjYZQcO[o0jfcJLhVA9N[PhNPOF[PJIacuteJBjN H QR[]OY^MjYe-Q H QcY[SX=KhQZaringJOeJUbnJUYZYZQ H m H [TQcO H hZ[B^jbnJ H MeJ^mWONSZaringQsbLNPfeYZbMeJZaringJiexclQcO H [ H MeJbnhQ H JLhQR[]OQ H YZJUfVXiexclQcO[Phd^eJLh H [JUNPYZQsfVmsup1[PJ H H MeJUYJaNP^^Q H QR[]ONPf H JLhlZ Y QcO bLNPYJa[SXhJ[]QR[]OWV^eJLKEgraveJUO^JUO H ^JUYZbnhQRK H [PhdY^MNPO`BY H [ H MeJUYJeumlNP^^Q H QR[]ONPf H JLhlZaringYeWFJ`JUOYZjehZJH MeJordfXqNPY H JUY H JUP[]fcj H QR[]O [SX H MeJIacutebLjehYUPJ H [WNih^YiexclNZaringQcOQZIacutejZ [SX H MeJTbnhdQ H JLhQR[]OO^ JeumlbLNPO NPfcY[hZJZaringNihY` H MN H H MeJUPJUfR[BbLQ H m[SX H MeJ bn[]O H []jhQsOa macr]j bLNPOcentEgraveJ K=[]YQ H QVUPJ[PharingOeJ[]N H QVUPJS^|MQcYaeligNPO QcO H JLhZJUY H QcO[eumlKh[PK=JLh H mOacute[SXiexclhZJ[]QR[]OWVcent-NPYJU^NPb H QVUPJ bn[]O H []jehY^ q O H MeJ bn[]O H hNihYm H [ centEgrave[]jO^NihYmVcentNPYJU^7NPb H QVUPJ bn[]O H []jehdYehZJ[]Qc[]OWVcentNPYJU^7NPb H QVUPJbn[]O H []jehYOslashNPfcfR[WYZ[]ZOslashJKNih H Ytimes[SX H MeJ bLjehYUPJ H [YZMehQsO`WMQcfRJ[ H MeJLhY(JkWKNPO^O^FMjY H MeJaumlQcOQ H QsNPfcQVcurrenUN H QR[]O QcYfRJUYYbn[]OY H hNPQsOeJU^O^^ macr^iexclEacuteltIacuteETHNtildeFETHEacuteshyOacute Eacute10wETH9IgraveumlIgravesup1+shyEacuteltEumlETHETH3EacuteshyOacuterIgrave5euml1ONtildeFETH32EacuteltOacute0EacuteltEgravexIcircEacuteshyIacute5IgraveIgrave2shyNtildeshyIacuteEumlOgraveIgraveIcirclaquoEacute10C8ltIgraveIcircd=KEgrave(ETHEacuteltEgraveIcircMJu[P[]NPf[SX H MQsY$KNih H QsY H [timesbn[]ZaringKj H J H MeJiexclJUP[]fcj H QR[]O JjN H QR[]Oaring[SX H MeJNPb H QVUPJbn[]O H []jehOcircXiacute[Ph0Y[]ZOslashJ(JkeNSZOslashKfcJUY$[SX-hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhY^SgJ H jY H N`PJY[]ZaringJT^eJUYZbnhQcK H [PhY(^eJLKEgraveJUO^QsO[aelig[]O H MeJyZOslashJUNPOBSOtimesOslash [Phiexcl[]O H MeJgUiNihQcNPObnJjuFtimesOslash [SXH MeJOtildeJUP[]fUBQcOF[OslashhZJ[]QR[]OwOumlcopytimesOslashaagravejaringEFFG FFH SOtimesOslashKaagravejumlaacute iacute $ w$ thorn yuml Otilde atilde auml WiexclQ H M icirctimesOslashaacute w$ thorn yuml atilde aumlu centtimes Oslash aagravejsup1aacute iacute $ w$ thorn yuml aOtilde SOtimes OslashKaagravejj cent atilde auml^ macr^f^iumlordfcentltshyltAringordfregethIumlIgravecurrenRAringcentmicroETHfrac34IumlltlaquomicroRreglaquoNOacute]currenRlaquosectsup1jCcedilR RAringordfregL Rlaquo3shy JTbdMe[B[]YJ H MeJgXiacute[]fcfR[WQcO[OslashYJ H [SX^eJUYbnhQRK H [PhYaring

uuml thorn UgraveUcircUacuteUuml yuml ^e[BJUYOe[ H ^eJLKEgraveJUO^[]Owagraveuuml thorn timesOslash yuml aacutecntildeaLuOcenttimes Oslash j a zSjWMJLhZJampntildeaOgravejQsYNOslashKEgrave[]YZQ H QVUPJiexclXqjOb H QR[]O[SX$bLfcNPYYograve aj^MQcYiexclUPJUfR[WbLQ H mumlUPJUb H [PhOslashQcYaumlbn[]ZaringKj H JU^centmeumlhZJLKfcNPbLQsO[ H MeJ H JLhZaringYauml[SXga jgWQ H MH MeJUQch$JkBKhJUYZYZQR[]OY^ J hY H JkWKhZJUYZY H MeJ^eJUYZbnhQcK H [Ph|uuml thorn timesOslash yuml NPYyNTbn[]ZTcentQsON H QR[]O[SXamp^e[]ZaringNPQcOY(QcO H J[PhdNPfcYaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacutemiddot thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn timesOslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejjaacutecntildeoacute agrave thorn timesOslash yuml aagravejagrave thorn timesOslash yumlcent aagravejfocirc a i]j

uumlnyacutenthornnyumll13YSordmY_FPa

yenKbrvbarsect =4 acirc $ fzWMJLhZJSaring EFFG FFH agrave thorn timesOslash yuml aagravejpoundaacute w$ thorn yuml aOtildegta2atildeltszligaumlj SOtimes OslashaagravejjUcirccent atilde aumlagrave thorn timesOslash yumlcent aagravejpoundaacute w$ thorn yuml atilde auml a h]j O^ H MBjYaring aelig thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacuteacircaOtildeKa2atildeshyszligaumlFj S timesOslash aagravejjUcirccentaelig thorn timesOslash yumlcent a2atildeshyszligaumlKszligYagravej|aacute f ad s j Y5XiacuteNihaumlNPY H MeJOslash^e[]Z NPQcO`QsO H J[PhNPfsYUacute[SX H MeJOslash^eJLhQVUiN H QVUPJaelig[SX H MJXqjOb H QR[]OY aelig thorn timesOslash yumlaumlNihZJaumlbn[]ObnJLhOeJU^OeFWFJauml[Pcent H NPQsOOaringEFFFG FFFH w5$ thorn yuml frac14ltotildeouml $_divideoslashfrac14 atilde aumlordmaacute frac14ltugrave $frac14 w$ thorn yuml aOtildeKa2atildeshyszligaumlFj SOtimesOslashKaagravejj atilde aumlaacute sw5$ thorn yuml frac14ltotilde ouml $_divideacircfrac14 atilde aumlordmaacute s adfjMJ H JLhZaringY eacute thorn timesOslash yumlauml NPfcY[aringMNUPJ H [ cent=Jaumlbn[]ZaringKj H JU^OeNPO^tWNtildeJg[PJ H aringEFFFG FFFH eacute thorn

timesOslash yuml aacute w$ thorn yuml uacute ouml $_divideacircntilde raquo7ucirc uacute ouml $_divideoslashuacute ouml $_divideacircyacuteuuml atilde aumlaacutecntilde raquo aLu centtimesOslash jeacute thorn timesOslash yumlcent aacute w$ thorn yumlBthorn uacute ouml $_divideoslashthorn uacute ouml $_divideacirc yuml acirc ntilde raquo ucirc uacute ouml $_divideoslashuacute ouml $_divideacirc uuml atilde aumlregaacute u centtimes Oslash ntilde raquo aLu centtimes Oslash j

G QsObnJ H MeJOslash^e[]Z NPQcO`QsO H J[PhNPfsYiexcl[SX frac14ltotildeouml $ordfdivideoslashfrac14 NPO^ frac14ltotildeouml $_divideacircfrac14 NihZJaeligJBjNPf H [currenLJLhZ[poundadfjeWFJOtildebLNPO ^QRhZJUb H fVm bn[]ZOslashKj H J H MeJiexclUPJUfR[WbLQ H mregUPJUb H [Ph[SX H MeJOtildeNPb H QVUPJTbn[]O H []jehuXiacutehZ[]Za macr]jNPO^WNtildeJyO^Oaringaelig Yacuteaagravejaelig agrave aacuteuumlgtthorn timesOslash yuml uumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn otilde)yuml dacute uumlgtthorn otilde)yuml eacutentilde raquo aLu centtimes Oslash jaaOtilde SOtimesOslashj cent u centtimesOslash jcedilQeacute ad j5Otad jeOgraveWFJbLNPOaringhJZaringNihY` H MeJ(KhZJUYJUObnJ[SX H MJNP^^Q H QR[]ONPf H JLhlZntilde raquo aLuOcenttimesOslash jaaOtilde SOtimesOslashj cent u centtimesOslash jeacuteacirc^^ macr^ ^iumlordfcentltshyltAringordfregethIumlIgravecurrenRAringcentmicroETHfrac34IumlltlaquomicroRreglaquoNOacute]currenRlaquosectsup1jpoundn Rlaquo JTbdMe[B[]YJ H MeJgXiacute[]fcfR[WQcO[OslashYJ H [SX^eJUYbnhQRK H [PhYaring uuml thorn UgraveUcircUacuteUuml yuml ^e[BJUYOe[ H ^eJLKEgraveJUO^[]Owagraveuuml thorn timesOslash yuml aacutecntildeaOtilde S timesOslash aagravejj adS]j

uumlnyacutenthornnyumll13YSordmY_FPo

fi $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJampntildeaOgravejQsYNOslashKEgrave[]YZQ H QVUPJiexclXqjOb H QR[]O[SX$bLfcNPYYograve aj^ YKhZJUWQR[]jYZfVmSe H MeJlaquoUPJUfR[WbLQ H mfrac34UPJUb H [PhTQcYbn[]ZOslashKj H JU^eumlcentmhZJLKfsNPbLQcO[ H MJ H JLhZaringY[SXua jcopyWQ H M H MeJUQRh(JkWKhZJUYZYZQc[]OY^FMeJauml^JUYZbnhQRK H [Ph uuml thorn timesOslash yuml QcY(JkWKhZJUYZYJU^centmKaringuuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacutei thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn times Oslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejjaacutentildeoacuteOtilde agrave thorn timesOslash yuml aagravejagrave thorn timesOslash yumlcent aagravejfocirc adj

WMJLhZJSaring EFFG FFH agrave thorn timesOslash yuml aagravejpoundaacute w5$ thorn yuml Otildegta2atildeltszligaumlj atilde aumlagrave thorn timesOslash yumlcent aagravejpoundaacute w5$ thorn yuml atilde auml adSmacr]j O^ Y[aring aelig thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejOcircaacuteegraveOtildegta2atildeltszligaumljaelig thorn timesOslash yumlcent a2atildeshyszligaumlKszligYagravejOcircaacute f adS]jG QsObnJ H MeJordfXiacutejOb H QR[]OY aelig thorn timesOslash yuml NPO^ aelig thorn timesOslash yumlcent ^e[aringO[ H ^eJLKEgraveJUO^[]OtagraveeFWFJTMNUPJSaringEFFFG FFFH w$ thorn yuml frac14ltotilde5ouml $ordfdivideoslashfrac14 atilde aumlregaacute s

w$ thorn yuml frac14ltotilde5ouml $ordfdivideacircfrac14 atilde aumlregaacute s ad]zSjMJ H JLhZaringY eacute thorn timesOslash yumlauml NihZJ H MJUObn[]ZOslashKj H JU^eNPO^WFJauml[Pcent H NPQcOOaringEFFFG FFFH eacute thorn

timesOslash yuml aacute w$ thorn yuml thorn uacute ouml $ordfdivideacircntilde raquo7ucirc Otilde uacute ouml $ordfdivideoslashuacute ouml $ordfdivideacircyacuteuuml atilde aumlaacute thorn iacute $ w$ thorn yuml ntilde raquo aOtilde SOtimesOslashj atilde aumleacute thorn timesOslash yumlcent aacute w$ thorn yuml uacute ouml $ordfdivideoslashthorn uacute ouml $_divideacirc yuml acirc ntilde raquo ucirc Otilde uacute ouml $ordfdivideoslashuacute ouml $ordfdivideacirc uuml atilde aumlordmaacute ugrave $iacute $ w$ thorn yuml ntilde raquo aOtilde SOtimesOslashj atilde auml JUacutebLNPO H MeJUObn[]ZOslashKj H JUacute^QRhZJUb H fm H MJ_UPJUfR[WbLQ H mUPJUb H [Ph[SX H MeJUacuteNPb H QVUPJOtildebn[]O H []jhXiacutehZ[]Zigravea macr]j(NPO^WNtildeJyO^Oaringaelig Yacuteaagravejaelig agrave aacuteuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yumldacute uuml thorn otilde)yuml eacute aOtilde SOtimesOslashjicircFtimesOslash $ thorn yuml ntilderaquo)aOtilde SOtimesOslashjmiddotQeacute adSi]j

5O H MeJtimesKNih H QsbLjfcNihiexclbLNPYZJIacute[SXIcircntildeaOgravejuaacuteOslashScenteKWFJtimesMNUPJnntilde raquo aOgravejcopyaacute NPO^ H MeJLhZJXiacute[PhZJSeH MeJiexclNP^^Q H QR[]ONPf H JLhlZaringYebn[]ZaringQcO[gXiacutehZ[]Z H MeJ UiNihQcN H QR[]O [SX H MeJiexcl^eJUYbnhQRK H [PhYOcircWQ H MagraveeNihJJjNPf H [gcurrenLJLhZ[^[WNtildeJUPJLheWQsOordmZOslash[]Y H bLNPYZJUYe H MQsYyNP^^Q H Qc[]ONPf H JLhlZoslashQsYyOe[ H

uumlnyacutenthornnyumll13YSordmY_FPy

yenKbrvbarsect =4 acirc $ fhcurrenLJLhZ[^ not [PhaeligJkeNSZOslashKfRJSeampQVXUgraventildea]jaacute yuml Wiexcl cent eshyWiexclQ H MN`KEgrave[]YZQ H QVUPJ bn[]OY H NPO H eQWFJMNUPJSaring

ccedil aacuteFuumlgtthorn timesOslash yuml uumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn otilde)yuml uumlgtthorn otilde)yuml eacute aOtilde SOtimesOslashjicircFtimesOslash $ thorn yuml aOtilde SOtimesOslashj IcircAumlaOtilde SOtimesOslashj cent adSh]j^ ^~IacuteFEumlIgraveFIacute5IgraveFOacuteETHNtildeFETHEacuteshyOacuteAgraven13ETH9 ETH9IgraveumlEumlIgravesup1+ltIgraveFEumltIcircIgraveFETHbIacute5IgraveFETH9shyEacute18 YXqNih0NPY H MeJOBjFZOslashJLhdQcbLNPfeQZOslashKfcJZOslashJUO H N H Qc[]OtimesQsYybn[]ObnJLhOeJU^eSWNtildeJbLNPOZOslash[W^eJUf H MeJNPb H QVUPJaumlbn[]O H []jeh_WQ H MNPOJkBK-fcQcbLQ H KNihNSZOslashJ H JLhdQVcurrenUN H QR[]ObaN[PhNPO[]QcNPOXiacute[PhlZtimesjfcN~VH QR[]OKjaelig[Ph NPO QCZOslashKfcQcbLQ H []OeJraNtildejfRJLhQsNPO Xiacute[PhlZIacutejfcN H QR[]Ogtj^ G JLJra G J H MQcNPOOe5fhSh s jNPO^egraveaJUfcQcO[PJ HH J NPO^ _a[]O H N[]ON H e sSs fjX[PhaeligNPOQcO H JLhZJUY H QcO[eumlbn[]ZOslashKNihdQcY[]OcentEgraveJ H WFJLJUO H MeJ H WNtilde[ZOslashJ H M[B^Y^ iexclO[ H MeJLhOtildeQcO H JLhJUY H QcO[aringhJUBQRJW[]O H MeJtimes^Q=JLhJUO HZOslashJ H M[B^Y[SX$NPb H QVUPJIacutebn[]O H []jehQcY(Kh[PK=[]YZJU^ QcOpoundaw_[]O H N[]ON H J H NPfd^Ve sSs fj^iexclJLhZJSeWFJaumljYJ H MeJaumlfRJUPJUfYZJ H ZOslashJ H Me[W^ NiKKhZ[]NPbdM KhZ[PKEgrave[]YJU^centm q YMeJLhNPO^G J H MQcNPOa q YZMJLh NPO^ G J H MQcNPOe fhSiSi]j centj H hJ[]QR[]OWVcentNPYJU^ NPb H QVUPJeumlbn[]O H []jehdYZaringNmNPfcYZ[ centEgraveJQZOslashKfcJZOslashJUO H JU^7centmjYQcO[`XNtildeV4YK-fcQcOeJUYXiacute[PhaeligNPOJkWKfcQsbLQ H K-NihNSZOslashJnVH JLhQcurrenUN H QR[]O ayhZJUbLQc[]Y[ NPO^XNihfcNPj^Oe sSs fj^shyMJ`PJmeumlQc^eJUN [SX H MeJOslashfRJUPJUfampYJ HZOslashJ H M[B^QsY H [ QcO H hZ[W^jbnJaumlNPO`NPjkWQsfcQcNihYmXiacutejOb H QR[]O l a2atildeltszligaumlgtszligYagravejYZjbdM H MN H YacuteaagravejQcY H MJtcurrenLJLhZ[OacutefRJUPJUfYJ H [SX l ^OcircMJXiacutejOb H QR[]O l QsYaelig[SX H JUO bMe[]YJUO H [centEgraveJ H MeJYZQ[]OeJU^ ^QcY H NPObnJordfXiacutejOb H QR[]O[SXQYacuteaagraveje-NPO^ QsY H MeJUObdMNihNPb H JLhQVcurrenLJU^acentmKaring

YacuteaagravejOcircaacute a2atildeltszligaumljPO l a2atildeshyszligaumlKszligYagravejaacute s a2 s jMQcYOcirc0jfRJLhQcNPOordmXiacute[PhlZtimesjfcN H QR[]O KhZJUYZJUO H YFYJUPJLhNPfEgraveNP^UiNPO H N[PJUYga G J H MQcNPOOeKfhShS]j^not QRhY H fVmSe H MeJabLjehYUPJ l ZaringNmcenthJUN`[PhoZOslashJLhY[PJNPY H MJXiacutejOb H QR[]O l JUP[]fUPJUYeNPO^ H [PK=[]fc[S[]QcbLNPfbdMNPO[PJUYFNihZJ H MBjY$JUNPYZQsfVmOslashMNPO^fRJU^^ G JUbn[]O^fVmSe H MJJUP[]fVUWQcO[XqjOb H QR[]O l a2atildeshyszligaumlKszligYagravejNPfVWNmWY(hZJZaringNPQcOY(NlaquoXiacutejOb H QR[]O NPfcfR[WQcO[timesJltz bLQRJUO H OBjFZOslashJLhVQcbLNPfFYZbdMeJZOslashJUY^OcircMQRh^fVmSe H MeJ[PJL[]ZOslashJ H hQcb KhZ[PKEgraveJLh H QcJUYT[SX H MeJ bLjehYUPJSe$fcQV`PJ H MeJbLjehlU~N H jehJ NPO^ H MeJOslashOe[PhlZ NPfshyUPJUb H [PhordfJUfs^eacute e=bLNPO centEgraveJIacuteJUY H QZaringN H JU^euml^QRhZJUb H fmXiacutehZ[]Z H MeJTfcJUPJUfgYJ H XqjOb H QR[]Oaring aacute V ucirc l l uuml NPO^ eacuteecircaacute l l a2FfjMJJUP[]fsj H QR[]O JBjN H QR[]O H MeJUO centEgraveJUbn[]ZOslashJUYaringaelig l aagravejaelig agrave aacuteegraveccedilacute l a2 jMJregUPJUfR[WbLQ H msup1XiacutejOb H QR[]OxccedilEQcYIacutebn[]ZaringKj H JU^7[]OfVm[]O H MeJbLjehYUPJYacuteaagravejaumlcent-j H WFJbLNPO Jk H JUO^ Q H YFJkBKhZJUYZYZQR[]O H [ H MeJiexclWMe[]fRJUacuteQZaringN[PJOtilde^e[]Z NPQcOoOumlordf^[OslashQZOslashKfRJZaringJUO HH MeJIacutefRJUPJUf9YJ H ZOslashJ H Me[W^OeY[]fsj H QR[]OYuZtimesjY H centEgraveJgXiacute[]jO^ H [ bLQRhbLjZyUPJUO H Kh[PcentfRJZaringY

uumlnyacutenthornnyumll13YSordmY_FP

s $amp)(+-)013021+345627893lt=gt9A6CBbn[]ZaringQsO[ Xh[]Z H MeJpoundXqNPb HH MN H`H MeJYZQV[]OeJU^ ^QcY H NPObnJumlXqjOb H Qc[]O l QcYaOe[ H NY[]fsj H QR[]O[SX H MeJyiexcl a2 jeEgraveYJLJa []ZOslashJUYNPO^ not NPjF[PJLhNPYe sSsSs jyacuteXiacute[Phiexcl^J H NPQcfcY^5Oaelig[]jehWF[PhY`gte H MJuXiacutejOb H QR[]O l QcYamphZJUQsOQ H QcNPfcQcurrenLJU^TY[ H MN H Q H hZJZaringNPQcOYampNOtilde^QsY H NPObnJXqjOb H QR[]OenYZJLJ5aq jecentEgraveJLh H NPO^gcOtilde[PhdOeKhZ[PcentY H e sSs fJLcenthZJUjFUPJSe sSsSs jOXiacute[Ph^J H NPQcfcY[]O H MJOtildehZJUQcOQ H QsNPfcQVcurrenUN H QR[]O JBjN H QR[]OO^5Oeuml[Ph^eJLh H [QCZOslashKhZ[UPJaringOjFZaringJLhQcbLNPfJltz bLQRJUObmSeOWFJaringbn[]ZOslashKj H J H MeJOslashJjN H QR[]O[]O NIacuteONihhZ[Wcent-NPO^aringJUObLfc[]YZQcO[ H MJiexclfRJUPJUf s [SX H MeJUacutefRJUPJUf-YJ H XqjOb H Qc[]OO^ JUacuteNPfcY[jYZJZtimesjf H QRhZJUYZ[]fcj H QR[]O H JUbdMOQBjeJUYcentmZaringN`BQsO[ H MeJFNPb H QVUPJ(bn[]O H []jh$JUP[]fVUPJcopyhY H[]ONOslashfc[W hZJUYZ[]fcj H QR[]O QZ N[PJS^FMeJordfONPfbn[]O H []jeh[Pcent H NPQcOeJU^Xiacute[Ph H MQcYhJU^jbnJU^QZ N[PJaumlQcY H MeJUOjYJU^ NPYNPOQsOQ H QcNPfEgravebLjehYUPJordfXiacute[Ph H MJOtildehZJUNPfgYZQVcurrenLJaumlQCZaringN[PJS^

EparaacuteAgravegtmicrosup1acuteIKJcedilJT2MgtI MraquowMgtmicrosup1MAgravegtacuteIltacuteMgtPltAtilde iquest acuteAgravegtT2MKIshyAtildeAcirccedilAtildeacuteNicircMgtI cedilAEligMgtmicroOcircacuteOgraveJTCJT13MKI sup2OcircacuteJordfsacuteacuteI Jfrac14ltacutegcedilFLT2cedilIshyROgraveacuteAtilderaquoAMLBqoLacute13AtildeR]cedilsup32acute GmicrobcedilAgraveacuteAtilde5O H MQcYUacuteYJUb H QR[]OOeOWFJOslashKhZ[PKEgrave[]YJaeligY[]ZOslashJOslashhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhY H [YJ[iVZOslashJUO H M[]ZOslash[S[PJUOeJL[]jYiexclhZJ[]QR[]OYiexcl[]Ofrac34[PhZJmBYbLNPfRJIacuteQZ N[PJUY^gtMJUYJIacute^eJUYbnhQRK H [PhYiexclNihZJcentNPYZJU^[]O H MJZaringQcOQZaringQVcurrenUN H QR[]O [SX H MeJU~NihdQcNPObnJUYauml[SX H MJ H WF[`bn[]OYZQc^eJLhZJU^OacutehZJnV[]QR[]OY^ 5O H MJ7YJUbn[]O^ K-Nih H e H MJQZOslashKEgrave[Ph H NPObnJOacute[SX H MeJNP^^Q H QR[]ONPf H JLhZaringYebn[]ZaringQsO[XiacutehZ[]Z H MeJiexclU~NihdQcN H QR[]O [SX H MeJUacute^eJUYZbnhQcK H [PhYWQ H M H MeJiexclJUP[]fUBQcOF[IacutehZJ[]Qc[]OYeQcY9MQV[]MfcQ[]M H JU^O^ G QCZOslashKfRJJkWNSZaringKfRJUY9YMe[W H MeJ0QZOslashKEgrave[Ph H NPObnJ$[SX H MeJUYJ0NP^^Q H QR[]ONPfH JLhlZ Y H [ NPbMQRJUPJ H MeJOtildeJkWKEgraveJUb H JU^aYJ[]ZaringJUO H N H QR[]O^^f^laquoIgraveIcirc=KEgrave(FETHOEacuteltEgraveIcircEcircgtNtildeltIcircIgrave8 EacuteshyOacute ETH9Igravek+NtildeshyEgrave13NtildeshyOacute=KIgraveC0EacuteshyEgraveh4ltEgraveOIgravesup1QIcirc=NtildeltEumlOgraveIgrave2Iacute Ntilde4ltIgraveIcircMJQcO H JUOYZQ H mregXiacute[Phu[PhZJmWYZbLNPfRJaumlQZ N[PJUY(QcYhZJLKhZJUYZJUO H JU^centm NlaquoXqjOb H QR[]OOtilderegaringOgraveOumlOtilde 13ordfcentwntilde Otilde 13laquo^ JaKhZ[PKEgrave[]YJ H [bZaringQcOQZaringQVcurrenLJ H MeJU~NihdQcNPObnJUYOslash[SX H MeJ H WF[bn[]OYZQc^WVJLhZJU^ Me[]Zaring[S[PJUOeJL[]jY hZJ[]Qc[]OY QcO [Ph^eJLh H [YJ[]ZOslashJUO H H MeJZ^uMJXiacute[]fcfR[WQcO[^eJUYbnhQRK H [PhY(NihJaumlYZj[S[PJUY H JU^OaringEFG FH uuml thorn UgraveUacuteUuml yuml aacutecntildeaLuOcentUgraveUacuteUuml juuml thorn times Oslash yuml aacutecntildeaLuOcenttimes Oslash juuml thorn otilde)yuml aacutecb a2Ograve]jWMJLhZJjntildea]jQcYNOslashKEgrave[]YZQ H QVUPJordfXiacutejOb H QR[]O [SX$bLfcNPYZYEacuteograve aOtilde 13yj(NPO^kb`NOslashKEgrave[]YZQ H QUPJaumlbn[]OWVY H NPO H ^MJTbn[]ZOslashKj H N H Qc[]O[SX H MeJUPJUfR[BbLQ H mUPJUb H [PhaumlQcY^JU^jbnJU^tXiacutehZ[]Z H MeJIacutebn[]ZOslashK-j H N~VH QR[]O`[SX H MeJaelig^eJLhQVUiN H QVUPJIacute[SX H MeJtimesbnhdQ H JLhQR[]Opoundocirc7^eJUPJUfR[PKEgraveJU^ QcO G JUb^^ macr^feWMQsbMfRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[aeligJUP[]fcj H Qc[]O JjN H QR[]OOaringaelig Yacuteaagravejaelig agrave aacuteethntildeaLu centtimesOslash j ntildeaLu centUgraveUcircUacuteUuml jb ntilderaquo)aLu centtimesOslash jaaOtilde S timesOslash j cent u centtimesOslash j ntilde raquo aLu centUgraveUcircUacuteUuml jaaOtilde SUgraveUcircUacuteUumlj cent u centUgraveUacuteUuml jIcirc13eacute a2Sj

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ fMJiexclYZQcOF[]fRJiexclK-NihNSZOslashJ H JLhcopyWNtildeJOtildeOeJLJU^ H [aringNP^~ZjY H QcY H MeJUacuteYYZOslash[B[ H MQcO[timesKNihNSZOslashJ H JLhb^5OregXqNPb H e H MeJ X [W ethb MNPY H MeJiexclKhZ[PKEgraveJLh H QRJUYNtilde[SXYYZOslash[B[ H MQcOF[IacutecentEgraveJUbLNPjYJOtildeQ H ZOslash[UPJUYH MeJUacutebLjehYUPJUacuteQcO H MeJUacute^QRhZJUb H QR[]O [SX9Q H YfRJUOF[ H MregXqjOb H QR[]ONPfQa G Qs^^QBQeJ H NPfd^VeOfhShS]j^^ ^~IacuteEacuteltEgraveETHOgraveNtildeltOacute=KIgravefrac34Eacute10frac34ETH9Igrave Ntilde8182ETHEacuteshyOacuteNtildeshyEumlETHIgraveFEgraveOIacute5Icirc5O[Ph^JLh H [7JU~NPfcjN H J H MeJ QZOslashKEgrave[Ph H NPObnJ`[SX H MeJ`NP^^Q H QR[]ONPf H JLhlZaringYX[Ph H MeJYJ[]ZaringJUO H N H QR[]OeuWNtildeJpoundZaringN`PJ H MJeumlNPb H QUPJbn[]O H []jehaJUP[]fVUPJ H MehZ[]j[]M H MJ iexcla2SjeQsObLfcj^QsO[ H MeJaumlNP^^Q H QR[]ONPf H JLhlZaringY^ q O H MeJUacute[ H MeJLhMNPO^OeWNtildeJaumlNPfcYZ[ZaringN`PJQ H JUP[]fUPJfrac34WQ H M H MeJwXiacute[]fcfR[WQcO[ WhZ[]OF[JUP[]fcj H QR[]OJjN H Qc[]O H MN H ^e[JUY Oe[ HQcObLfcj^eJ H MeJaumlNP^^Q H QR[]ONPf H JLhlZaringYaringaelig Yacuteaagravejaelig agrave aacuteethntildeaLu centtimesOslash j ntildeaLu centUgraveUcircUacuteUuml j`b Qeacute iuml a2Ogravemacr]jnot [Ph H MeJOtildeJkWKEgraveJLhQZOslashJUO H YeWFJ H N`PJntildeaOgravejOcircaacute ILK KafcediliexclOgravejWMQsbM[]QVUPJUYntilde raquo aOgravejaacutefdOafcedil]j(NPO^ H MeJgUiNPfcjeJOtilde[SX H MeJaumlKNihdNSZOslashJ H JLhEacutebaQcY(YJ HH [frac34f s ^OcirckBKEgraveJLhQCZOslashJUO H Y NihZJ KEgraveJLhYX[PhZOslashJU^ []O NYmWO H MJ H Qcb`QCZaringN[PJumlZaringNP^eJeumljeK [SXTNPO

Me[]Zaring[S[PJUOeJL[]jYYYBjNihZJ[SX9QcO H JUOYZQ H mwf s []O NIacutecentNPbl`[PhZ[]jO^ [SX9QcO H JUOYZQ H mtf s ^ []NPjYZYZQsNPOOe[]QcYJUacute[SXUiNihQcNPObnJ s QcY(NP^^eJU^ H [ H MQcY(YmWO H MJ H QcbOtildeQZaringN[PJS^MeJOtildeJUP[]fcj H QR[]Oa[SX H MeJTNPb H QVUPJtimesbn[]O H []jehUacute^ehQUPJUOcentmpounda2SjQcYu[]QVUPJUO`QcO not QV[^ WMQcfRJ H MeJ[]OeJ`[Pcent H NPQcOeJU^ jYZQcO[ a2Ogravemacr]j QcYordm[]QUPJUO QcO not QV[^ ^ J bLNPO hZJZaringNihY`H MN H WMeJUO H MeJoiexclQsObLfcj^eJUY H MJ NP^^Q H QR[]ONPf H JLhZaringYe H MJ YYBjNihZJ QcYgWFJUfcfYJ[]ZaringJUO H JU^acirca not QV[^ ^bjeuWMeJLhJUNPYWiexclMeJUO H MeJ |iexclD^e[BJUY Oe[ H QsObLfcj^eJ H MeJUYJNP^^Q H QR[]ONPf H JLhZaringYwWFJ7[Pcent H NPQcO N bLQRhbLfcJOacuteQcOY H JUNP^ [SX H MeJ7JkBKEgraveJUb H JU^YYBjNihZJa not QV[^ ^bj^MeJUYJhZJUYZjf H YNtildebLNPOcentEgraveJcentEgraveJ HH JLh(jO^eJLhY H [[W^WMQcfRJNPONPfmcurrenUQcOF[ H MeJiexclUPJUfR[WbLQ H mUPJUb H [PhYUacute[SXNtildeJUNPbMJUP[]fsj H QR[]O JjN H QR[]OO^ Jaringbn[]ZOslashKNihZJ H MeJ H WF[ JUP[]fcj H QR[]OYiexcl[SXH MeJlaquoUPJUfR[WbLQ H mwUPJUb H [PhYauml^jehQcO[ H MeJaeligKhZ[PKN[]N H Qc[]Oeuml[SX H MeJOslashbLjehYUPJwa2WiexclQ H Me[]j HH MeJcentEgrave[]jO^NihYmVcent-NPYJU^ H JLhlZb j^MeJ(JUP[]fcj H Qc[]OOslash[SX H MeJNSZOslashKfsQ H j^eJ[SX H MeJyacuteUPJUfR[Wb|VQ H mregUPJUb H [Ph[SXQ|iexcla2SjFQsY[]QUPJUO QcO not Q[aqYj^ ^ ^OecurrenJSe Xfrac34]eWMQsfRJ H MeJOtildeNSZOslashK-fcQ H j^eJ[SX H MeJUPJUfR[WbLQ H mwUPJUb H [PhOtilde[SX||iexclacirca2Ogravemacr]jiexclQcY []QUPJUO`QcO not QV[aqYj^ ^ ^OecurrenJSe Xfrac34]^ JOslashbLNPO[PcentYZJLhYUPJ H MN HaringH MeJUPJUfc[BbLQ H msup1WiexclQ H Me[]j HaeligH MeJNP^^Q H QR[]ONPf H JLhlZaringY QcYaeligNbn[]OY H NPO HWMJLhZJ [PcentUWQR[]jYfVm H MJaQZaringN[PJfrac34XJUN H jehJUY ^e[OacuteO[ H NiKKEgraveJUNih^ q O H MeJabn[]O H hNihYmH MeJaumlQCZaringN[PJordfXJUN H jhZJUYuWFJUfcfNiKKEgraveJUNihQcO H MeJordfUPJUfR[WbLQ H m QcObLfcj^QcOF[ H MeJaumlNP^^Q H QR[]ONPfH JLhlZ Yya not QV[aqYj^ ^ ^OecurrenJSe Xfrac34jiexclNPO^ Y[ H MeJaumlYljNihJTbLNPO centEgraveJordfWNtildeJUfsfYJ[]ZOslashJUO H JU^O^MeJyKhZJUWQR[]jYEgravehJUYZjf H YgYMe[W H MN H Q H QcY[SXeKhQCZOslashJ$OeJUbnJUYZYZQ H m H [ H N`PJQcO H [NPb|Vbn[]jO H0H MJNP^^Q H QR[]ONPf H JLhZaringYeWbn[]ZaringQcO[XhZ[]Z hZJ[]QR[]OeV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhYeQcO[Phd^eJLh H [ hZJUNPbdMaN H hdjeJgZaringQcOQCZIacutejFZ [SX H MeJaumlbnhQ H JLhdQR[]OO^

uumlnyacutenthornnyumll13YSordmY_F

S $amp)(+-)013021+345627893lt=gt9A6CBEIumlparaacuteAgravegtmicrosup1acuteIKJcedilJT2MgtI MraquoordfAEligMgtsup32MLwMKmicrobMgtAgraveacuteIshyacuteMgtPltAtilde iquest acuteAgraveKT13MKIshyAtildeAcirclaquocedilFAtildeacuteNicircMKIJfrac14ltacutepoundAEligMAringcedilFLT2cedilIltR]acuteHcedilJLTOcircfrac12sup3T13ROgravecedilJT2MgtI JMAgraverltcedilFR]acuteacuteJacuteR]JT2MgtIicircT2ItT2NQacuteM paraacutePshyacuteIltR]acuteAtildeMQcY0K-Nih H ^eJUNPfcYWQ H M H MeJOtildeYJ[]ZOslashJUO H N H QR[]O [SXMe[]ZOslash[S[PJUOeJL[]jY(hZJ[]QR[]OYQcOZtimesjfuVH QcYZK=JUb H hdNPfQZaringN[PJUY^ YNPOaJkWNSZaringKfRJSeWFJIacuteYZMe[W H MN HiexclH MeJTbn[UiNihQcNPObnJZaringN H hQVkbLNPOacent=JIacuteNUPJLhYm KEgrave[WFJLhYXqjf H [B[]f H [ YJ[]ZOslashJUO H Me[]Zaring[S[PJUOeJL[]jYbn[]fR[PhiexclhJ[]QR[]OY^F5OXqNPb H e H MeJtimes^eJ H JLhlZaringQsONPO H [SX H MeJTbn[U~NihQsNPObnJZ N H hQkKhZ[UPJUY H [ centEgraveJIacuteNaringhJUfRJU~NPO Hbn[]fR[PhaelighZJ[]Qc[]O7M[]ZOslash[S[PJUOeJUQ H msup1ZOslashJUNPYZjhZJZOslashJUO H a G NPO[SWQcOeJ NPO^r[PhdOeJSeufhShSi]j^_`QcOQZ QVcurrenUQcO[ H MQcYjNPO H Q H m ZOslashJUNPOY H MN H WFJwWNPO HH [^eJUbnhZJUNPYJ H MeJeumlbn[]ZaeligVKfcJkWQ H m[SXUacuteNeumlhZJ[]QR[]Oa hdNmJ H NPfd^Ve sSs fampN H JUjke sSsSs j^MQcY H [B[]fuZaringNmKhdNPb H QcbLNPfcfVm cent=JaumljYJU^X[Ph XiacuteNPbnJtimes^eJ H JUb H QR[]OaQsO QZaringN[PJaumlYJBjeJUObnJUY^macr^f^laquoIgraveIcirc=KEgrave(FETHOEacuteltEgraveIcircEcircgtNtildeltIcircIgrave8 EacuteshyOacute ETH9IgraveAgrave=Eacute3+NtildeshyEgrave13NtildeshyOacute=KIgravefrac34Iacute_NtildeFETHEgraveEcirc20EacuteshyEgrave=EacuteshyEumlEacuteshyEgrave2Iacute Ntilde4ltIgraveIcircMJQcO H JUOYZQ H mxXiacute[Ph bn[]fR[Ph QCZaringN[PJUYaringQcYOslashhJLKhZJUYJUO H JU^centm7NpoundXiacutejOb H QR[]OOtildeegravearingOumlOtilde 13ordfcent ntilde Otilde 13 WMeJLhZJ Otilde aacute Otilde szligYOtildeOgravecentszligYOtilde13ordf ^iexclXm NPONPfR[S[SmAumlWQ H M H MeJOacuteY H j^Fm Xiacute[Ph[PhZJmWYZbLNPfRJFQZaringN[PJUYeWNtildeJZaringQcOQCZaringQVcurrenLJ H MeJNtilde^J H JLhlZaringQcONPO H [SX H MeJFbn[UiNihQcNPObnJcopyZaringN H hQVk[SX H MeJTbn[]OYQc^eJLhZJU^hZJ[]Qc[]OY^ J5ZaringNmaringNPYYZjFZOslashJ H MN H JUNPbdM bn[]fR[PhFhZJ[]QR[]Oacute13 QsYOcircZOslash[W^eJUfcfRJU^OslashcentmOslashNg[]NPjYYZQcNPO^QsY H hQRcentj H QR[]Oeuml[SXyacuteZOslashJUNPOiexclSegraveaacute S szligPS cent szligPS NPO^7bn[UiNihQcNPObnJZ N H hQk5^MeJKh[PcentNicentQcfcQ H maring^eJUOYQ H moXiacutejOb H QR[]O QcYu[]QUPJUO centm H MeJgXiacute[]fcfR[WQcO[aeligJkWKhZJUYZYQR[]OOaring

$ampamp aOtildejOcircaacute fa )( j +cent aq^J H ayacutejj cent JkWK- f aOtilde Sltj thorn aOtilde Sltj a2Ograve]jG [eZaringQcOQZaringQVcurrenUQcOF[ H MJbn[U~NihdQcNPObnJuZaringN H hQktimes^eJ H JLhlZaringQcONPO H [SX-NPOtimesJUP[]fVUWQcO[hJ[]QR[]ONiKKEgraveJUNihY H [OslashcentEgraveJNtimeshZJUfcJU~NPO HH [[]f H [ordmZaringN`PJ H MQcYFhZJ[]Qc[]O bn[]OUPJLhY[PJ H [WFNih^Y H MeJbLfR[]YZJUY H Me[]ZOslash[S[PJUOeJL[]jYbn[]fR[PhiexclhZJ[]QR[]OO^9J H jY$Oe[ H J timesOslash NPO^0copyUgraveUcircUacuteUuml H MJbn[UiNihQcNPObnJ5ZaringN H hQcbnJUYy[SX=hJUYKEgraveJUb H QVUPJUfVmordmOuml timesOslash aagravejNPO^tOuml UgraveUacuteUuml aagravejaring

atilde aacute213 u Patilde u centatilde u atildeu cent atilde u centcentatilde u cent4atildeu5 atilde u5centatilde u54atilde67 a2zSj

WMJLhZJSaringEFFG FFH u times aumlatilde aacute iacutefaring w aring thorn yuml aOtilde times S times atilde jaOtilde auml S auml atilde j atilde aumlS times atilde aacute iacutefaring w aring thorn yuml Otilde times a2atildeltszligaumlj atilde auml WQ H M aacuteiVIgraveOacute[Ph Kf5

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ J [PcentUWQR[]jYZfm`MNUPJacuteu times aumlatilde aacuteu auml timesatilde ^shy9J H jYaumlO[ H J ^eJ H a atilde j H MJ ^eJ H JLhlZaringQsONPO H [SXH MeJaumlbn[U~NihdQcNPObnJZ N H hQkWiexclMQcbMJkBKhJUYZYZQR[]O QcY H MJgX[]fsfR[WQsO[aring

^eJ H a atilde jumlaacute u Patilde u centcentatilde u 4atilde u centatilde u atilde u cent4atilde u Patilde u cent4atilde u cent4atilde u centcentatilde u atilde u atilde u 4atilde u centatilde u centatilde a2Ogravei]jnot jOb H QR[]OY [SX H MeJeumlbn[UiNihQcNPObnJpoundZaringN H hQk ^eJ H JLhZaringQcONPO H YNihZJ jYJU^ NPY hJ[]QR[]O^eJUYbnhQRK H [PhY^ JIacutebMe[B[]YJ H MJordfX[]fcfc[WQcOF[aeligYZJ H [SX$^eJUYZbnhQRK H [PhYaringEFG FH uuml thorn UgraveUcircUacuteUuml yuml aacute98ordfaq^eJ H acopyUgraveUcircUacuteUumlAjjuuml thorn timesOslash yuml aacute98ordfaq^eJ H a timesOslash jjuuml thorn otilde)yuml aacuteOslashb a2Ograveh]jWMJLhZJ8ordfaOgravejFQcYNOslashKEgrave[]YZQ H QVUPJiexclXiacutejOb H QR[]O [SXampbLfcNPYZYograve aOtilde 13yjFNPO^Cb`NOslashKEgrave[]YZQ H QVUPJOtildebn[]OWVY H NPO H ^gJ H jYNtildeOe[W WhQ H J H MeJJUP[]fcj H Qc[]OaringJBjN H QR[]O [SX H MeJiexclNPb H QUPJbn[]O H []jehcentmbn[]ZOslashK-j H QcO[ H MJIacute^QEgraveJLhZJUO HH JLhlZaringYiexcl[SX_a j^J H NPQcfcYiexcl[SX H MeJIacutebn[]ZaringKj H N H QR[]O bLNPOcentEgraveJgXiacute[]jO^QsOaNiKKEgraveJUO^QVk X5^gtMJaumlJUP[]fcj H QR[]O`JBjN H QR[]O[SX H MJIacuteNPb H QVUPJaeligbn[]O H []jhQcY H MJgX[]fsfR[WQsO[aringaelig Yacuteaagravejaelig agrave aacute8gaq^eJ H atimesOslashjj 8ordfaq^eJ H a UgraveUcircUacuteUuml jj`b admacr s jlt8Icircraquodaq^eJ H a times Oslash jgt= ccedil A B egrave aOtilde S timesOslash jaOtilde B5 S BtimesOslash jB^eJ H aDC EBtimesOslash ja fj BGFH amp^eJ H atimesOslashj48 raquo aq^eJ H atimesOslashjj 8Icircraquodaq^eJ H a UgraveUacuteUuml jgt= ccedil I B egrave aOtilde Eacute S UgraveUcircUacuteUuml jaOtilde B S BUgraveUcircUacuteUuml jB^eJ H aDC JBUgraveUacuteUuml ja fj BKFH amp^eJ H a UgraveUcircUacuteUuml j48 raquo aq^eJ H a UgraveUcircUacuteUuml jjcedil13eacuteMJZaringN H hdQkLC JBatilde QsY ^JU^jbnJU^icircXh[]Z H MJeumlbn[U~NihdQcNPObnJbZaringN H hdQkM atilde centm YZjeKeVKhJUYZYZQcO[ H MeJ uuml UumlON hZ[WENPO^ H MeJ I UumlON bn[]fcjFZaringO^MeJeumlfcNPY H Xiacute[]jeh fsQcOeJUY [SX H MeJJBjN H QR[]ONihZJ H MeJOtildeNP^^Q H QR[]ONPf H JLhZaringY(bn[]ZaringQcO[XiacutehZ[]Z H MeJiexclU~NihQsN H QR[]O [SX H MeJOtilde^eJnVYZbnhdQRK H [PhYWiexclQ H Mordmagrave^ Y0Q H MNPYycentEgraveJLJUOOslashKhJUBQR[]jYZfVmTKhZ[UPJU^X[Ph[PhZJmWYZbLNPfRJiexclQCZaringN[PJUYeH MeJUYZJ H JLhlZaringYMNUPJ H [ cent=Jaumlbn[]OYZQc^eJLhZJU^ QsO[Ph^eJLh H [regZ N`PJ H MeJTNPb H QUPJTbn[]O H []jhbn[]OUPJLhY[PJ H [WFNihd^YNZ QcOQZtimesjFZ [SX H MJTbnhQ H JLhQc[]OO^macr^ ^~THORNUgrave2FIgraveFEgrave2Iacute_IgraveFOacuteshyETHOgraveNtildeshyEumlEgraveOIgraveIcircdEumlETHOIcircnot [Ph H MJ JkWKEgraveJLhQZOslashJUO H YeQWNtildeJ H N`PJCntildea]jordmaacute ILK Kaf[]jgWMQsbMsup1[]QVUPJUYnntilde raquo aOgravejaacutefdOafWOgravej(NPO^8ordfaOgravejaacute ILK KafIcirch cent juWMQcbdMt[]QVUPJUY8 raquo aOgravejaacute ETHOafIcirch cent j^ JbdMe[[]YZJ bbaacute f s ^QMeJaringbn[]fR[PhtimesYKNPbnJ YJUfcJUb H JU^QcYaQPszlig l szligicirclaquojeltWMeJLhZJwaOtilde aacuteRPordmjhZJLKhZJUYJUO H Y H MeJfsjFZaringQcONPObnJNPO^waOtildeOgravecent5aacute l j$NPO^frac34aOtildeS aacuteOslashicircj$hZJLKhZJUYJUO HyH MeJ H WF[bdMehZ[]ZaringQcONPObnJUY^ not [Ph H MeJbn[]ZaringKj H N H QR[]OOslash[SX H MeJuUiNihQcNPObnJSei[]Ofm H MeJfcjZaringQcONPObnJQcY(jYJU^O^

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CB5Oaring[Phd^eJLh H [aeligYJ[]ZOslashJUO H NPO Me[]ZOslash[S[PJUOJL[]jY0hJ[]QR[]OOeOgraveWFJiexclY H Nih H WQ H M NPO QcOQ H QcNPf

bLjehlUPJ0QcOYZQs^eJ H MJ0hZJ[]QR[]Oauml[SXWQsO H JLhZJUY H ^MeJybLjhYUPJ0QcY H MJUOTYZjeKK=[]YZJU^ H [JkWKNPO^jO H Qcf(Q H hJUNPbMeJUY H MeJ centEgrave[]jO^NihlmOacute[SX H MeJabn[]ObnJLhdOeJU^ Me[]Zaring[S[PJUOeJL[]jYaringhJ[]QR[]OO^MJtimesbLjehlUPJtimes^e[BJUYUacuteOe[ H [P[cent=JmP[]O^ H MJUYJaeligcent=[]jO^NihQRJUYiexclYZQcObnJSe=[UPJLh H MeJLhZJSe H MeJbnhQ H JLhQR[]OOacuteQsObnhZJUNPYJUYtimescentEgraveJUbLNPjYJ H MeJU~NihdQcNPObnJOcircu centtimesOslash [Ph H MeJ bn[U~NihdQcNPObnJtZaringN H hQVk^eJ H JLhZaringQcONPO H ^eJ H atimesOslashjUcirccentOtildeQsObnhZJUNPYJS^MeJaringNPfV[P[PhQ H MZEcentNPYJU^[]O H MeJ bn[UiNihQcNPObnJZaringN H hQVkeumlQcYaumlK=JLhlX[PhlZaringJU^euml[]ONPOQZ N[PJ [SX H MeJUBQs^eJL[`YJBjeJUObnJrnN`WQVmP[]peumlQcO[Ph^JLh H [euml^eJ H JUb HaeligH MeJYKEgraveJUN`PJLhUTYXqNPbnJS^gtMJaumlJUP[]fcj H QR[]O[SX H MJIacutebLjehYUPJIacuteQcYu[]QVUPJUO QcO not QV[^ macr^gtMeJTbn[]O H []jehiexclJUP[]fUPJUYH [ONPfcfVmbn[]OUPJLhY[PJaelig[]O H MeJIacutecent=[]jO^NihQRJUY[SX H MJyXqNPbnJa not QV[^ macr^bj^OMeJyXiacuteNPbnJaeligQcYH MeJUONPbLbLjehdN H JUfVm YZJ[]ZOslashJUO H JU^^FMeJUacuteNSZOslashKfcQ H j^eJ[SX H MeJiexclUPJUfR[BbLQ H m QsYFNPfsY[laquo[]QVUPJUOQcO not QV[aqYj^ macr^ ^OecurrenJSe Xfrac34jNPO^WNtildeJUacutebLNPO [PcentYJLhYUPJ H MN HFH MeJ5XiacuteNPbnJUacutehZJ[]QR[]O QcYUPJLhYmWFJUfcf^eJUfsQZaringQ H JU^regXhZ[]Z H MJ[ H MJLhhZJ[]QR[]OY^MJ5UPJUfc[BbLQ H m[]QUPJUO QcO not QV[aqYj^ macr^ ^OecurrenJSe XQcObLfcj^eJUY H MeJNP^^Q H Qc[]ONPf H JLhlZaringYFbn[]ZaringQcOF[yXiacutehZ[]Z H MeJ5UiNihQcN H QR[]O [SX H MeJiexcl^eJUYbnhQRKeVH [PhY5WQ H Magrave`centj H ^e[BJUYOtildeOe[ H QcObLfcj^eJ H MeJaeligcentEgrave[]jO^NihlmVcentNPYZJU^ H JLhlZ WMQcbMeumlQcYUacuteNYYZaring[[ H MQsO[ H JLhlZ^KMeJtimesNSZOslashKfcQ H j^eJOtilde[SX H MeJyUPJUfc[BbLQ H maQcYiexclOe[PhlZaringNPfcQcurrenLJU^ centEgraveJ H WFJLJUOs NPO^ macrSmacre$YZjbdM H MN HTH MeJ OeJ[]N H QVUPJoU~NPfcjJUYIacuteNihZJ fR[WFJLh H MNPO f i`NPO^ H MeJKEgrave[]YZQ H QUPJ[]OJUYNihZJTMQ[]MeJLh H MNPOpoundf i^ J bLNPObn[]ZaringKNihZJ H MJ QcOQ H QsNPfUPJUfR[BbLQ H m[Pcent H NPQcOJU^jYZQcOF[ H MeJ bn[U~NihQsNPObnJZaringN H hdQk admacr s juWQ H M H MeJOtilde[]OeJOtilde[Pcent H NPQcOeJU^jYQcO[ H MeJordfUiNihQcNPObnJrega2Sj^KMeJordfXqNPbnJTQcYOe[ H WNtildeJUfsf9^eJ H JUb H JU^QcO H MeJUPJUfR[BbLQ H m[Pcent H NPQsOeJU^ajYQcO[ H MeJUiNihQcNPObnJa not Q[^ ^bjWMJLhZJUNPYIacuteQ H QcYIacutehZJUNPfcfmumlWNtildeJUfcfF^eJ H JUb H JU^QsO H MeJQcOQ H QcNPfUPJUfR[WbLQ H m7jYZQcOF[ H MeJbn[iVUiNihQcNPObnJpoundZ N H hQk a not QV[^ ^currencentj^_MeJ UPJUfR[WbLQ H m [Pcent H NPQcOeJU^ jYZQsO[ H MeJumlU~NihdQcNPObnJ^e[BJUYOe[ H NPfsfR[W NPOJltz bLQRJUO H YJ[]ZOslashJUO H N H QR[]O`[SX H MeJyXiacuteNPbnJauml[]O H MeJaumlbn[]O H hNihYm H [H MeJIacutebn[UiNihQcNPObnJlaquoZaringN H hQk^eJ H JLhZaringQcONPO H WMQsbM H N`PJUYUacuteNP^UiNPO H N[PJaelig[SX H MeJtimesbn[]fR[PhQcOFX[PhlZ N H QR[]OO^macr^ ^WVFEumlETH=gtNtildeFETH32EacuteltOacuterETHEacute`0Ntilde=KIgravek8ltIgraveFETHIgrave5=KETH32EacuteltOacute~2Oacute+(8ltIgraveEacute IcircIgrave5euml1IgraveFOacute=KIgraveIcircMJa^eJUYZbnhQcK H [PhYOslashcentNPYZJU^[]O H MJ`bn[UiNihQcNPObnJZaringN H hdQkNihJ`QZOslashK-fRJZOslashJUO H JU^ H [^eJ H JUb H MBjFZaringNPO XqNPbnJUYQcO UWQc^eJL[OacuteYJBjeJUObnJUY^MQsYaring^eJ H JUb H QR[]OegraveZaringNm cent=J`jYJU^Xiacute[PhtUWQc^eJL[ bn[B^QcO[ H [JUObn[W^eJYJUfcJUb H QVUPJUfVm H MeJOacuteMBjFZaringNPOegraveXqNPbnJS^ not [Ph`N []QVUPJUObn[]ZOslashKhZJUYZYZQR[]OOacutehN H QR[e H MeJoXiacuteNPbnJbLNPO7cent=J H hNPOYYZ Q HH JU^bWiexclQ H MN MQV[]MJLhThN H J H [H MeJ^eJ H hdQZOslashJUO H [SX H MeJcentNPbl`[Ph[]jO^O^uMQsY QsO H JLhZJUY H QcO[KhZ[PKEgraveJLh H m QcYUiNPfcjWVNicentfcJuX[PhUBQc^JL[Bbn[]OXiacuteJLhZJUObnJUYe]WMeJLhZJ H MeJ ZOslash[]Y H QZOslashKEgrave[Ph H NPO H NPO^regZOslash[]Y H U~NihdQcNicentfRJQcOFX[PhlZ N H QR[]OQcYfR[WbLN H JU^ []O H MJordfXiacuteNPbnJaq 5ZOslash[]Oe[]j`NPO^tUacutejMNSZaringJUfde sSsSs j^ J QcOQ H QcNPfcQVcurrenLJ H MJhdY H XiacutehNSZOslashJoWQ H M7N`bLQchbLfRJ QsOYZQc^eJ H MeJXqNPbnJ H [ H hNPbY`K^MJUOOeyacuteWFJsup1ZaringN`PJ H MeJNPb H QVUPJ7bn[]O H []jeheumlJUP[]fVUPJjYZQcOF[admacr s jeiexclWQ H MX8ordfaOgravejxaacuteILK KafUgravemiddot cent j^ltMeJregONPfybn[]O H []jehtimes[SX H MeJ bLjehZhJUO H QZaringN[PJ QcY H MeJUOOacutebdMe[]YJUO7NPYNPO QcOQ H QcNPfbLjhYUPJordfX[Ph H MJUacuteOJk H QZaringN[PJS^FMeJOtildeNPfV[P[PhQ H MFZMNPYcentEgraveJLJUOKEgraveJLhYXiacute[PhlZOslashJU^[]OYJUPJLhdNPf$YJjJUObnJUY^MeJaelighZJUYjf H Y5X[Ph H MJaeligYZJjeJUObnJpoundn5JLhQV`p NihJordm[]QVUPJUOQcOnot QV[^ethz^shyMeJaringKNihNSZaringJ H hZJ bMNPYaumlcentEgraveJLJUOYZJ HaumlH [sup1f s ^QMeJordmXqNPbnJ QcYordfWFJUfcfy^J H JUb H JU^NPO^ H hNPbY`PJU^times[]O H MJ|WMe[]fcJyYJjJUObnJS^MJyhZJUYZjf H YOX[Ph H MeJNtildeYZJjeJUObnJnN`WQVmP[]p

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ macrNihZJy[]QVUPJUO`QsO not QV[^ i^ JaeligbMe[B[]YJbaacute s ^ JtimesbLNPO`YJLJ H MN HH MeJXiacuteNPbnJaeligQcYuWFJUfcf^eJ H JUb H JU^aJUPJUOaQVX H MeJaumlbn[]fR[Phiexcl[SXMJLhYZMQRh H QsY(bLfR[]YJ H [ H MJgXiacuteNPbnJIacutebn[]fR[Ph^

YOEAEligMgtIltROgravesup3PshyAtildeT13MKI5O H MQcYKNiKEgraveJLheuWNtildeJKhZ[PKEgrave[]YJN OeJW 0jfRJLhQcNPOAumlZaringQsOQZaringQVcurrenUN H Qc[]OAumlZOslashJ H Me[W^ H [bn[]ZOslashK-j H J H MJUPJUfR[WbLQ H mpoundUPJUb H [Pharing[SXNPONPb H QVUPJ bn[]O H []jeh H MN H JUOYZjehZJUYtimesQ H WQcfcfJUP[]fVUPJ NPYordfXiacuteNPY H NPYOtildeKEgrave[]YZYZQRcentfcJ H [WNih^YIacuteNZaringQcOQCZIacutejFZ [SXN bnhQ H JLhQR[]OeumlQcObLfcj^QcOF[centEgrave[ H MUacutehZJ[]QR[]OeVcentNPYJU^TNPO^OtildecentEgrave[]jO^NihYmVcentNPYJU^ H JLhlZ Y^ q jehgNiKKhZ[]NPbMIacuteQcYcentNPYZJU^Otilde[]OYZMNiK=J[PK H QZaringQVcurrenUN H Qc[]OOslashKhQcObLQRKfRJUY$NPO^ QcYyKEgraveJLhYXiacute[PhlZOslashJU^ QcO H MehZJLJ5ZaringNPQcO Y H JLKYaringf^ltO H hZ[W^jb H QR[]O[SX$NOslash^mWONSZaringQcbLNPfYbMeJZOslashJIacuteQcO H MeJTbnhQ H JLhQR[]OOe ^vF[]ZOslashKj H N H Qc[]Oaelig[SX H MeJ_0jfRJLhdQcNPOaelig^eJLhQVUiN H QVUPJ[SX H MJbnhQ H JLhQR[]OOslashjYZQcO[OtildeYZMNiKEgraveJ

[PK H QZaringQVcurrenUN H Qc[]O H [[]fcYe^vF[]ZOslashKj H N H Qc[]Oa[SX H MeJtimesJUP[]fcj H Qc[]OaJBjN H QR[]O`[SX H MeJaeligNPb H QVUPJtimesbn[]O H []jehiexclXiacutehZ[]ZH MeJT^eJLhQU~N H QVUPJS^

iexcl Ntilde _ cent G NPfcfR[WY H [hJUNP^QcfVm H N`PJNtildeQcO H [NPbLbn[]jO H9H MeJybLNPYJ0[SXBhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H^eJUYbnhQRK H [PhY H MN H NihZJo[]fR[PcentNPfcfVmN HH NPbdMeJU^ H [ H MeJ JUP[]fVUWQcO[ hZJ[]QR[]OYtimesNPO^Y[H MN H UiNihYm^jehQsO[ H MJaumlKhZ[PKN[]N H Qc[]O [SX H MJaumlbLjehYUPJS^ JTYMe[W H MN HH MeJgUiNihQuVN H QR[]O [SX H MeJUYJ^JUYZbnhQRK H [PhdY QsO^jbnJUYNP^^Q H QR[]ONPf H JLhlZaringYQcO H MeJeumlJUP[]fcj H QR[]OJBjN H QR[]Oeuml[SX H MeJaringNPb H QVUPJ bn[]O H []jeh^MJUYJ H JLhlZaringYgZtimesjY H Oe[ H centEgraveJlaquoX[Phl[P[ HH JUOQcO[Ph^JLh H [ hZJUNPbMeumlN H hjeJZ QcOQZtimesjFZ[SX H MeJtimesbnhQ H JLhQc[]OaNPYUacuteQ H MNPYcentEgraveJLJUOKEgrave[]QcO H JU^[]j H QsOJkBKEgraveJLhQZaringJUO H NPfEgravehZJUYjf H Y^

Yfrac34XiacuteNiheumlNPYeumlMe[]ZOslash[S[PJUOeJL[]jYeumlbn[]fR[PheumlhZJ[]Qc[]OY`YZJ[]ZOslashJUO H N H Qc[]OQsY`bn[]ObnJLhdOeJU^OeWFJKhZ[PKEgrave[]YJ H MeJ`bn[U~NihQsNPObnJfrac34ZaringN H hdQk^eJ H JLhlZaringQcONPO H NPY N^eJUYbnhQRK H [Ph^MQcYY H N H QsY H QcbLNPfhZJ[]QR[]OeV4^eJLKEgraveJUO^eJUO H ^JUYZbnhQRK H [PharingNiKK=JUNihdY H [centEgraveJN UPJLhlm7hJUfRJU~NPO HH [B[]fampNPO^eumlY[ Q H MNPYUacutecent=JLJUOeumlYZjbLbnJUYZYXqjfcfVm NiKKfsQRJU^ H [XqNPbnJaring^eJ H JUb H QR[]OQcOfrac34UWQc^eJL[YJBjeJUObnJUY^

iquest acuteraquoacuteLacuteIltR]acuteAtildeagraveIgravefrac14dEcircsup1Atilde5AringiquestLmiddotNtildeIumliquestUumlgIumlUTHORNampAtildeEacutecedilAtilde5AringAcircnAtilde|iquestaacuteIacuteIumlIZEgravefrac14Zcedilfrac12frac14dAringiEcirc]iquestfrac14draquoiEcirc[NtildeIumlagraveAringEacutePAtildecedilwAacute4] uacute_^J^J^ iquest)` igraveraquoLCcedilfrac14cedil4Ecircfrac14draquo~Ecirc(Auml|AringAacuteCcedilfrac14Zcedil4Ecirc

Agrave5AringcedilAcircnAtilde$AtildeAcircnAuml|frac12AringAacutesup1AumldraquoTAringAEligwsup1raquo~ordm(frac12Atilde5AcircnAtilde5frac12AEligwAtildeAacuteampIgrave(Atilde AacuteIcirc~AumlUEcircSaIumligraveraquo13] x4~rv p4PldrRtcoPl|Egraveod5v pv i4vodaumlx4shyl not vsectpqo v tu not Iumlcb$Auml|EacutePAtilde|iquestednfrac14Oumlifrac14draquoIuml

agraveIgrave(Aumldraquo~Auml|Aringiquest~igrave4IumlPfrac14raquoiEcircfWIumliTHORNampAringIcircifrac14Igrave(Atilde5frac12G] divideugrave|ugrave|ugrave iquest` igraveAacuteAtildecedil4frac14ZAacutesup1Acirc|AtildeNtildeEacute~frac14dAgrave4UgraveUCcedilEgravefrac14cedil4EcircUacuteAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoUacuteOgraveregAumldcedilIcirc~sup1Atildecedil4frac14cedilAgrave4Icirc~sup1currenEumlAgravefrac14dfrac12=CcedilEgravefrac14AcircnAtilde5frac12AtildeAacutesup1Igravefrac14ordm|AtildeAgrave5AumlUEcircsup1raquo~ordmIaIumlaeligigraveiacuteraquoS] x4rv p ildrRtcodil|ampod5v pv P4vOtildeodOslashx4shy(l not vFsectpqo v tu not Iumlg frac14raquo~Agrave5AumldAring~AcircnAtildecediliquestehEgravefrac14raquoifrac14|Ecircfrac14Iuml

agraveAringEacutePAtildecedilwAacuteiquest[NtildeIumlWfrac14raquoiEcircifWIuml13b$Aumldcedilraquo~OumlcedilAuml|EacuteAEligqAacute4] divideugrave|ugraveuacute iquestkj ldrregv shy(ldrRtcl|ipwonm5v shyNtildetuOslashtushyl not vampipwo4v tu not sect9ldp4rRtcl|Egravedt lv pv ~rRtRl|9vDm~lrRtcod~ldiTrreg~vUacutel| Uiexcloqnldp4tcldrRtRod~ iquestpoAumlIuml uacute_qEr IumlOslashagrave9Ouml~Oumlfrac12sup1AtildeEcircaacuteUacutefrac14AacuteIcirc~AtildeIgravefrac14Aacutesup1Agravefrac14dfrac12BatildeAgravesup1Atilderaquo~Agrave5Atilde5AElig5iquestPatildeOumlcedilsup1raquoordm|Atildecedil g Atildecedilfrac12frac14dordmIumlhEgravefrac14dAEligwAtilde5frac12frac12Atilde5AElig5iquest g Iumliquest~szlig0Iumleb$sup1Igrave(Igrave(Atilde5frac12Riquestifrac14raquoiEcirc[NtildeIumlatildefrac14dOumlsup1cedilAumlI] uacute_^J^Er iquest`s[Atilde5AumlUEcircAtilde5AEligwsup1AgraveFfrac14dAgraveAacutesup1AcircnAtildeyAgrave5AumldraquoUAacuteAumldAringcedilAElig_aIuml x4~rv p4PldrRtcodPldpoundUodUp4Pl|WoqodshyiUrv paumlumltutcodutet13v uacute+w iquestex uacuteyIrz^ Iuml

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CBh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34LiquestBagraveyIumlWfrac14raquoiEcircidIumlBTHORNampAringraquo~Agravefrac14raquo13] uacute4^z^J^ iquest`[ampfrac14Igrave(AtildeEumlcAacuteIcirc~Atilde5AumlcedilAtildeAacutesup1Agrave(sup1raquoUAacuteAtildeordmdcedil4frac14Aacutesup1AumldraquoaeligOgraveuAumldcedil0sup1Igravefrac14dordmdAtildeAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIuml xQ|||~pwl~ lnrRtcodNtildeodiexclsect9lrRrv p auml9Pl| ~tuyldi j l|4Utu]vx4~rvreg t not v P4v Iumlh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34Liquestgagrave0IumliquestIumlgatildeUAacute4frac14dsup1Eacuteiquest9frac14draquoiEcircdIuml9THORNampAringraquo~Agravefrac14raquo13] uacute_^J^ xiquest` THORNampAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeIacuteEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34iraquo~Ecircsup1raquo~ordmsup1raquoIgrave(AtildeEcircsup1Agravefrac14frac12iexclsup1Igravefrac14ordm|Atilde5AEligaringEacuteLfrac34Oacutesup1raquoLAacuteAtilde5ordmcedil4frac14Aacutesup1raquo~ordm ordmdcedil4frac14|Ecircsup1Atilde5raquoLAacute frac14raquoiEcirccedilAtilde5ordm|sup1Auml|raquo sup1raquoOgraveuAumldcedilIgravefrac14ZAacutesup1Auml|raquo13aIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu notI iquesteE ^4y rdugrave Iumlh=Icircifrac14raquoiquestBETHIumlWfrac14raquoiEcircIuml g Atilde5AEligwAtildeJ] dividedugravedugraveuacute iquest` agraveAgraveAacutesup1AcircnAtildeFAgrave5Auml|raquoLAacuteAuml|AringcedilAElig$Ccedilgsup1AacuteIcircAuml|AringAacuteNtildeAtilde5Ecircordm|AtildeAElig_aIuml xQ||k|~pwld lnrRtcododUacutex4shy(l not v9sectpqo4v 4tu notuU v divideJw iquest divide xJx ydividezrJr Iumlh=Icirc~Atilde5AEligwraquo~frac14dAring~EcirciquesthIumliquestfWIuml=szligAtildeOgraveYacutecedilIAtilde5ordm|sup1Atildecediliquestfrac14draquoiEcirc g Iuml5Z=AumldAring~frac12AtildeAacute4] uacute_^J^z^ iquest`currenatildeUAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12cedilAtilde5ordmdsup1AumldraquoAEligwraquoifrac14dUgrave|AtildeEumlsEacuteifrac14dAEligwAtilde5EcircAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquofrac14|Ecircfrac14dOumlAacuteAtilde5EcircFAacuteAumlyEcircsup1s]AtildecedilAtilde5raquoLAacute-Ouml~IcircLfrac34AEligwsup1Agrave5frac14dfrac12~raquoAuml|sup1AEligwAtilde9Igrave(AumlUEcircAtilde5frac12AElig_aIuml xQ||k|~pqld~ lnrRtco~$osect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4vt iquest uacute|uacute_q y~uacute|uacute xIumlh=Auml|IcircAtilde5raquoiquestIuml] uacute4^z^uacute iquest`currenmiddotraquofrac14dAgrave Aacutesup1Acirc|Atilde Agrave5AumldraquoLAacuteAuml|AringcedilIacuteIgrave(AumlUEcircAtildefrac12AEligtimesfrac14draquo~EcirceumlEacuteifrac14dfrac12frac12AumlLAuml|raquoAElig_aIuml odshyiUrv pumltutcod pwl Utc0ldix4shyl not vsectEgravepwo4v tu not x4shyl not vOtildePnv p rsldidtu not) iquest divideUuacuteduacuteydivideLuacute UIumlh=Auml|IcircAtilde5raquoiquestSIumliquestUumlIuml13ZEgravefrac14cedil4Ecircsup1raquo~AtildeAacuteiquestfrac14raquoiEcircoNtildeIumlagrave9frac34Lfrac14dAgrave4Icirc~AtildeJ] uacute_^J^z iquest`atildeUAringcedilwOgraveufrac14dAgrave5Atilde0cedilAtilde5Agrave5Auml|raquoAEligqAacutewcedilAring~AgraveAacutesup1AumldraquotimesAring~AEligwsup1raquoordmfrac14AgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilaumlIgrave(AumlUEcircAtilde5frac12AElig_aIuml igraveiacuteraquoS] Lsect=xQ|od5v pv P4v od vwodshy(v rRp tc j v rregodtimestuodshyiUrv pumltutco Iuml~atildefrac14raquoUacuteTHORNampsup1Atilde5ordm|AumliquesthEgraveagraveyIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquestEgraveUumlIuml] dividedugrave|ugravedugrave iquest`currenatildeAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquo Ouml~frac14cedilAgrave5Auml|raquoLAacuteAuml|AringcedilAEligUacutefrac14AgraveAacutesup1currenOgraveuAEligUacuteAtilde5raquosup1Igravefrac14dordmdAtildecedilsup1AtildeIacuteIgraveAtilde5Ecircsup1Agravefrac14dfrac12AtildeIacuteEcircfrac34UEumlraquoifrac14dIgrave(sup1ecircLAring~Atilde]ampfrac14Ouml~Ouml~frac12sup1Agravefrac14ZAacutesup1AumldraquoAtilde5raquoeumlAgravefrac14Zcedil4Ecircsup1Auml|frac12Auml|ordmdsup1Atilde raquoUAring~Agravefrac12Atilde5frac14dsup1currencedilAtildeJaIumlfIcircIuml THORNFIumlAacuteIcirc~Atilde5AEligwsup1AElig5iquestraquo~sup1AcircnAtildecedilAEligwsup1currenAacutefrac34`AumlOgraveosup1Agrave5AtildeEumliacuteatildeAumldOuml~Icircsup1Yacutefrac14NtildeagraveraquoLAacutesup1OumlPAuml|frac12sup1AElig5iquestPeacutecedil4frac14raquo~Agrave5AtildedIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquest|UumlIumliquestUaacuteIacuteIumlEZEgravefrac14cedilfrac12frac14dAring~Ecirciquest[NtildeIumlLagraveAringEacutePAtildecedilwAacuteiquest|frac14draquoiEcirc dIumlnTHORN$frac14ZcedilAgrave5Auml|AringcedilwAacute4] divideugrave|ugraveUuacute iqueste`currenatildeOuml~frac14dAgrave5AtildeEgraveAacutesup1Igrave(AtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14EumlAacutesup1AumldraquoUacuteAring~AEligwsup1raquoordmfrac12Atilde5AcircnAtilde5frac12AEligwAtildeAacutefrac14dAgraveAacutesup1AcircnAtilde$AgraveAuml|raquoLAacuteAuml|AringcedilAEligfrac14Ouml~Ouml~frac12sup1AtildeEcirciexclAacuteAumlFIgraveNtildefrac34LAumlLAgravefrac14Zcedil4Ecircsup1frac14dfrac12ordmnfrac14ZAacuteAtildeEcircOtildeatildeIf-UumlkhEgraveETHaIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu not t v rJw iquest)x qJ+y xJ ^ Iuml

THORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquest13iexclNtildeIumlfrac14draquo~EcircdIumlWaacuteAuml|raquoLAacute4frac14ordm|raquoifrac14ZAacute4] divideugrave|ugraveUuacute iquest` ETHBAumldOumlPAuml|frac12Auml|ordmfrac34Oslashfrac14raquoiEcircIacuteAEligwIcirc~frac14dOumlPAtildeAgraveAuml|raquo~AEligqAacutewcedil4frac14sup1raquoUAacuteAEligyAumldraquotimesOumlifrac14Zcedil4frac14EumlIgrave(AtildeAacutewcedilsup1AgraveOslashfrac14dAgraveAacutesup1AcircnAtildearingAgrave5AumldraquoLAacuteAuml|AringcedilAElig_aIuml odshy~rv pumltutcodldP x4shy(l not vPLv p4rsldPtu notcent) v divideJw iquestuacute_qnugrave4yiuacute4rUuacute Iuml[Auml|Igrave(Atilde5AElig5iquestpounddIumlfrac14draquo~EcircaringmiddotNtildeIumleacuteifrac14Aring~ordm|Atilde cedil4frac14dAElig_] divideugrave|ugrave|ugrave iquestcurren` szlig9Atilde5Agrave5Aumldraquo~Agrave5sup1frac12sup1raquo~ordmIacuteEcircsup1AEligqAacute4frac14draquoAgrave5AtildeOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligfrac14draquo~Ecircaeligfrac12Atilde5AcircnAtilde5frac12EgraveAEligwAtilde AacuteAElig_aIumlpoundUodUp il|WoqUacuteumltul|-odshyNtildeshyFU~tR4lrRtcodTldix4shyl not vampgvipv v rsldrRtcod ) iquest dividedugravez^+ydivideddividez Iuml[cedil4frac145frac34LiquestszligyIumliquestdIumlyen-Auml|Aringraquo~ordmiquestampfrac14raquoiEcircagrave0Iumlampagravesup1currenfrac34LAtildecedil4] dividedugravedugraveuacute iquest `aacutesup1raquosup1IgraveNtildeAring~Igrave Ecircsup1AEligwAgrave cedilsup1Igrave(sup1raquo~frac14Aacutesup1Auml|raquosup1raquoOgraveregAumldcedilIgravefrac14Aacutesup1AumldraquoAgrave5frac12Aring~AEligqAacuteAtildecedilsup1raquo~ordmI]Igrave(AumlUEcircAtilde5frac12sup1raquo~ordmTfrac14raquoiEcircOslashecircLAringifrac14raquoUAacutesup1Ocircfrac14ZAacutesup1Auml|raquoOslashCcedilgsup1currenAacuteIcirc ordm|frac14dAringAEligwAEligIgrave(sup1currenicircAacuteAringcedilAtilde5AElig_aIumlTigraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquest=atildePIumliquest=aacuteIacuteIumlkZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestEgravefrac14raquoiEcirc[NtildeIuml=agrave9Aring~EacutePAtildecedilwAacute4] dividedugrave|ugraveUuacute frac14Uiquest` agrave EumliacuteatildeUAacuteAtilde5Ouml frac14dfrac12ordm|Aumlcedilsup1currenAacuteIcirc~IgraveAring~AEligwsup1raquoordmcedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtilde=Agrave5Auml|raquoLAacuteAuml|AringcedilAEligeOgraveuAumldcedilAcircUsup1EcircAtilde5AumlAuml|EacuteUbrvbarqAtilde5Agrave AacuteAElig=EcircAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoSaIuml~igraveraquo13]psect xw j x4 sect odpDumlqo odUacutex4shy(l not v9Pl| ~tu5op j rRtushyvwdtclNtildex4rv pwlnrRtKndvy]v pntc4v IumliETHWfrac14dIgrave(OumlPAtilde cedilAtilde|iquestieacuteWsup1raquofrac12Yacutefrac14raquoiEcirc]Iumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquestUatilde]IumliquestUaacuteIacuteIumlUZ=frac14cedilfrac12frac14dAring~EcirciquestUfrac14raquoiEcirccopy[NtildeIumlUagrave9Aring~EacutePAtildecedilwAacute4] dividedugravedugraveuacute EacuteiquestA` szlig9Atilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14AgraveAacutesup1AcircnAtildegAgrave5Auml|raquoLAacuteAumldAringcedilAEligOgraveuAumldcedilAcircUsup1YacuteEcircAtilde5AumlaringAuml|EacuteUbrvbarqAtilde5Agrave AacuteOtildeAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo Ccedilgsup1currenAacuteIcircaAgrave5frac14dIgrave(Atildecedil4frac14OslashAgrave5AumldIgrave(OumlPAtilde5raquo~AEligfrac14ZAacutesup1Aumldraquo13aIumligraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquesteatilde]IumliquestWaacuteIacuteIumlZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestefrac14draquo~Ecirc[NtildeIumlBagraveAring~EacutePAtilde cedilwAacute4] divideugrave|ugraveuacute Agrave|iquestk` g sup1EcircAtilde5AumlUacuteAuml|EacuteUbrvbarqAtildeAgraveAacuteFAEligwAtildeordm|Igrave(Atilde5raquoLAacute4frac14Aacutesup1AumldraquoAring~AEligwsup1raquo~ordmIacuteAtilde5Aring~frac12Atildecedilsup1frac14draquo cedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAElig_aIuml igraveiacuteraquoS] x4rv p ildrRtcodil|yodv pwv P4vIacuteoodshyiUrv paumlumltutcod Iuml g frac14draquoAgrave5Auml|AringAcircnAtildecediliquestehEgravefrac14draquo~frac14|Ecirc~frac14UIumlbyfrac14dAEligwAElig5iquesteaacuteIacuteIumliquestWagrave0Iuml Ucirc sup1currenAacuteUgravesup1raquoiquestWfrac14raquoiEcirctimesTHORNFIumlWETHBAtildecedilOcirc5AumldOumlPAuml|Aringfrac12AumldAElig_] uacute4^ JUiquestk`currenatilderaquoifrac14UgravenAtilde5AElig_]WagraveAgraveAacutesup1AcircnAtilde(Agrave5AumldraquoLAacuteAuml|Aringcedil0Igrave(AumlUEcircAtilde5frac12AElig_aIumlx4~rv p4PldrRtcoPl|WpoundUop4PldWoqodshyiUrv pTumltutcod iquest ndivideUuacuteyUzndivide Iuml

aacuteUacutefrac14dfrac12frac12frac14|Ecircsup1ciquest~szlig0IumliquestedIuml]atildeUAtildeAacuteIcirc~sup1frac14raquoiquest~frac14draquoiEcircZIuml g Atilde5IgraveNtildeAringcedilsup1G] uacute4^z^ UiquestS`atildeUIcircifrac14OumlPAtilde$Igrave(AumlUEcircAtilde5frac12sup1raquo~ordm0Ccedilgsup1AacuteIcirciexclOgraveregcedilAuml|raquoLAacuteOumlcedilAumldOumlifrac14dordm|frac14EumlAacutesup1Aumldraquo13]nfrac14ampfrac12AtildeAcircnAtilde5frac12AEligwAtildeAacuteEgravefrac14Ouml~OumlcedilAumlnfrac14dAgrave4Icirc13aIuml xQ|||~pwld lnrRtcodampodsectgldrRrv p 9Pl| ~tu9ldP j ln4Utreg]vx4~rvu t not v i4v Iordf iquest uacute z yiuacute+r UIuml

aacuteUacutefrac14draquoAEligwAuml|Aringcedilsup1Riquestagrave0Iumlfrac14draquo~EcircdIumlb$Auml|raquocedil4frac14|EcircS] uacute_^J^J^ iquestlaquo`currenaacuteAumldAacutesup1AumldraquoAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo`Ccedilgsup1currenAacuteIcirceumlfrac12Atilde5AcircnAtildefrac120AEligwAtilde AacuteAElig_aIuml igraveraquo13]x4~rv p4PldrRtcoPl|=ov pwv P4vNtildeodUacutex4shyl not vsectEgravepwo4v tu not Iumlcb$AumldEacutePAtilde|iquestednfrac14dOuml~frac14draquoIuml

aacuteAuml|raquoLAacute4frac14dordmdraquoifrac14ZAacuteiquestdIumliquestziexcl0IumlTHORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquestdfrac14draquo~EcircoNtildeIumlZagravegfrac34Ufrac14dAgrave4Icirc~AtildeJ] dividedugrave|ugraveUuacute iquest` agraveOslashcedilAtildeAcircsup1AtildeCcedilaeligAumldOgravePEcircAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeAEligwAringcedilwOgraveufrac14dAgrave5AtildeAElig_]AacuteAuml|OumlPAuml|frac12Aumldordmdfrac34Liquestgordm|AtildeAuml|Igrave(AtildeAacutewcedilwfrac34frac14draquoiEcirc EcircAtildeOgraveuAumlcedilIgravefrac14Aacutesup1Auml|raquoSaIuml x4shyl not vtimesldiOacuteumltutcododshy~rRtreg not0Inot v uacute_qw iquestuacuteugravendivide+y~uacuteugravezq|ugrave Iuml

aacuteAring~IgraveOgraveregAumldcedil4Ecirciquest=THORNFIumlgfrac14raquoiEcircdIumlatildeIcirc~frac14dIcircS] uacute4^ ^ iquest`currenmiddotOumlAacutesup1Igravefrac14frac12$frac14dOumlOumlcedilAumlicircsup1Igravefrac14Aacutesup1Auml|raquoAEligEacuteLfrac34Oumlsup1AtildeAgrave5AtildeCcedilgsup1AEligwAtildetimesAEligwIgrave(AumlLAumlAacuteIcircOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligFfrac14raquoiEcircOslashfrac14dAEligwAEligwAumlLAgravesup1Yacutefrac14ZAacuteAtildeEcircaringAcirc|frac14Zcedilsup1Yacutefrac14ZAacutesup1Auml|raquoifrac14frac12EgraveOumlcedilAumldEacute~frac12Atilde5Igrave(AElig_aIuml odshyNtildeshyFU~tR4lrRtcod~oaeligsectEgraveUpvUacuteldiEgraveni tsvw j ldrreg~v shy(lrRtccurrenshyt iquest rzr4y xJ q Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfa

yenKbrvbarsect =4 acirc $ zmiddotAEligwIcirc~AtildecediliquestdatildePIumlfrac14draquo~EcircdIumlnatildeAtilde AacuteIcirc~sup1frac14draquoS] uacute4^ ziquest` eacutecedilAuml|raquoLAacuteAEligeOumlcedilAumldOumlifrac14ordmnfrac14Aacutesup1raquoordmCcedilgsup1currenAacuteIcircFAgrave5AringcedilAcirc|frac14ZAacuteAringcedilAtildeEumlEcircAtilde5OumlPAtilde5raquoiEcircAtilde5raquoLAacuteBAEligwOumlPAtildeAtildeEcircS]

agravefrac12ordm|Aumlcedilsup1AacuteIcircIgrave(AEligEacute~frac14dAEligwAtildeEcircaumlAuml|raquoiexclampfrac14Igrave(sup1frac12AacuteAumldraquoEumldnfrac14Agrave5Auml|Eacutesup1eacute~AumldcedilIgraveNtildeAring~frac12frac14Aacutesup1Auml|raquoSaIuml poundUodUp4Pl|oqiexcloshyiUrsldrRtcoPl|sect=U~tc ordfenot iquest uacutedivide4yEqE^ Iumlfefrac14cedil4frac14ordm|sup1Auml|AElig5iquestoNtildeIumlfrac14draquo~EcircIacuteszligyIuml]THORNampAtildecedilsup1Agrave4Icirc~AtildeJ] uacute4^z^J^ iquest`s[Atilde5AumlUEcircAtildeAEligwsup1Agravefrac14AgraveAacutesup1AcircnAtildeFcedilAtilde5ordmdsup1Auml|raquo~AElig$OgraveregAumldcedil0Igrave(AumldAacutesup1Auml|raquoTAtilde5AEligqAacutesup1Igravefrac14Aacutesup1Aumldraquofrac14draquoiEcircAacutewcedil4frac14dAgrave4UgraveUsup1raquoordmAaIumligraveiacuteraquoS] x4rv p ildrRtcodil|-ov pwv P4vFodOslashodshyiUrv paumlumltutco Iumleh=AumldcedilwOgraveregAringgt[cedilAtilde5Atilde5Agrave5Atilde|Iumlfefrac14AacuteAtilde5Aringicirc]iquestatilde]Iuml] dividedugravedugrave|ugrave iquestpound`currenatildeOuml~frac14Aacutesup1frac14dfrac12AEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoTAumldOgrave=Agrave5Auml|frac12Aumlcedilysup1Igravefrac14ordm|Atilde5AEligampfrac14dAgrave5Agrave5Aumlcedil4Ecircsup1raquo~ordmAacuteAumlUacuteaacuteTHORNaringOgraveregAumldcedilIgravefrac14dfrac12currenEumlsup1AEligwIgraveaIumlyigraveraquo13] x4~rv p4PlrRtcodPld=od5v pv i vodododpFtu pwl4UtcldPx4shyl not vysectpqo v tu not Iumlatildefrac14dsup1raquoLAacute UumleAacutesup1Atilderaquo~raquo~Atildediquestieacutecedil4frac14raquo~Agrave5AtildedIumlfcedilAtildeAgrave5sup1Auml|AEligwAumliquesteacute=IumlEgravefrac14raquoiEcirc aacuteIacuteIumlcurrenZEgravefrac14cedilfrac12frac14dAring~EcircS] dividedugrave|ugraveUuacute iquest` Z-EumliacuteatildeUOuml~frac12sup1raquo~Atildeaumlfrac14dAgrave Aacutesup1Acirc|AtildeOtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAEligOgraveregAumldcedilOgraveRfrac14AEligqAacuteAcircUsup1EcircAtilde5AumltimesAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIumlOacuteigraveraquo13] x4rv p ildrRtcodil|od5v pv P4vaeligod x4shy(l not vUacutesectpqo4v 4tu not IumlETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1Riquest[cedilAtilde5Atilde5Agrave5Atilde|Iuml

szligAumldraquoOgraveufrac14cedil4EcirciquestszligyIuml] uacute_^J^q iquest` szlig9Atilde5ordmdsup1AumldraquoEumlsEacuteifrac14AEligwAtildeEcircFAEligqAacutewcedil4frac14ZAacuteAtilde5ordm|sup1Atilde5AEligeOgraveuAumlcedil-frac14dAgraveAacutesup1AcircnAtildeEgraveAgraveAuml|raquoLAacuteAuml|AringcedilIgrave(AumlUEcircAtilde5frac12AElig_aIuml x4~rv p4PldrRtcoPl|poundUodUp il|WoqodshyiUrv paumlumltutco I v dividezw iquest divideddividez^+yUdivide uacute Iuml

atildefrac14Igrave(AEligwAuml|raquoiquestzhIumliquestzIumlzZ=frac12frac14raquo~AgraveEumleacuteAtildecedil4frac14AringiEcirciquestJ[NtildeIumldagraveAringEacutePAtildecedilwAacuteiquestfrac14draquo~Ecirc dIumlJregPAtildecedilAring~Eacutesup1frac14I] dividedugravedugrave|ugrave iquest` agrave frac12Atilde5Acirc|Atilde5frac12UAEligwAtildeAacuteIgrave(AumlUEcircAtilde5frac12nOgraveregAumldcedilsup1Igravefrac14ordm|AtildeAgrave5frac12frac14dAEligwAEligwsup1siAgravefrac14ZAacutesup1Auml|raquo13aIuml x4~rv p4PlrRtcodPldpoundUodUp4Pl|BoqNtildeodshyiUrv pOtildeumltreg4tRod shy v Ew iquest uacute r4y~uacute4^Er Iuml

atildefrac14raquo~ordmdCcedilgsup1raquoAtilde|iquest9atilde]IumlEgravefrac14draquo~Ecircszlig0IumlampiexclAumldcedilraquoAtilde v Atilde5EcircAElig5Iuml w ] uacute_^J^ Uiquest ~vIacuteo|odUpaumltushyl not vipqo4v 4tu not ldP|m4oo4uml Iumlh=Icircifrac14dOumlIgravefrac14draquodegmacriexclampfrac14dfrac12frac12RIumlatildeAtildeAacuteIcircsup1frac14draquoiquestdIumlplusmn] uacute4^z^|ugrave iquestU` oAringIgrave(Atildecedilsup1Agravefrac14dfrac12Ufrac14frac12ordm|Aumldcedilsup1currenAacuteIcircIgrave(AEligWOgraveuAumldcedilOumlcedilAuml|Oumlifrac14ordmnfrac14ZAacutesup1raquoordmsup1raquoLAacuteAtildecedilwOgraveRfrac14Agrave5Atilde5AElig_]Jiexclampfrac14dIgrave(sup1frac12currenAacuteAuml|raquoEumldnfrac14dAgrave5AumldEacute~sup1

AtildeecircLAringifrac14Aacutesup1Aumldraquo~AElig-frac14draquoiEcircAgraveAuml|raquo~AEligwAtilde cedilAcirc|frac14ZAacutesup1Aumldraquo(frac12frac14CcedilgAElig_aIuml poundUodUp4Pl|]oqEgraveyen$t lv pv rRtcl| voshyv rRp~ iquest uacute4Uuacutey~uacute x uacute IumlatildeAtildeAacuteIcircsup1frac14draquoiquestAdIuml] uacute4^J^ xiquest kWvndvB]v r j v rregod IumlcurrenhEgravefrac14dIgraveNtildeEacutecedilsup1EcircordmdAtilderaquosup1AcircPIumlAfecedilAtilde5AEligwAElig5Iumlatildesup1Ecirc~Ecircsup1ecircUsup1Riquest4bIumliquest_yenNtildeIumlBfrac14Aring~Ocirc5sup1Gsup2AtildecedilAtilde|iquestagraveyIumlETHWfrac14draquoraquo~Atilde5raquoUEacute~frac14dAring~IgraveUacuteiquest5frac14draquo~EcircNtildeatildePIumlregPAring~Agrave4UgravenAtildecedil4] uacute_^J^ xUiquestE`currenagravegcedilAtildefrac149frac14draquoiEcirc$frac12Atilde5raquoordmdAacuteIcircyIgrave(sup1raquoEuml

sup1Igrave(sup1Ocirc5sup1raquoordm sup3iAumlCcedilgAEliggOgraveuAumldcedilAEligwIcircifrac14OumlPAtildeyAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo13aIuml xQ|||~pwl~ lnrRtcodoOtildex4shyl not vsectEgravepwo4v tu notordf v Ew iquest qEz+yqzqE Iumlyen=AtildeOcirc5Ocirc5sup1RiquestagraveyIumliquest5agrave0Iuml5ETHEgraveAEligfrac14dsup1Riquestfrac14draquo~Ecirc$agrave0Iuml Ucirc sup1frac12frac12AEligwUgraveLfrac34] uacute4^z^J^ iquestJ` agraveaeligAEligqAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12Ufrac14dOumlOumlcedilAumlnfrac14Agrave IcircampAacuteAumlgAEligwraquo~frac14dUgravenAtilde5AElig]OgraveuAumlcedilWEacutesup1Igrave(AumlUEcircfrac14dfrac12frac14draquoiEcircAacutewcedilsup1Igrave(AumlUEcirc~frac14frac12isup1Igravefrac14dordmdAtildecedilwfrac34aIumligraveraquo13] x4rv p ildrRtcodil|eodv pwv P4vyodx4shyl not vgsectpqo v tu not IumlAb$AumldEacutePAtildednfrac14dOuml~frac14draquoIumlreg]IcircUAringiquest]atilde]Iumlfrac14raquoiEcircaumlagrave0Iumleyen=Aringsup1frac12frac12AtildeJ] uacute_^J^ xUiquestpound` szlig9Atilde5ordmdsup1AumldraquotimesAgrave5AumldIgrave(OumlPAtildeAacutesup1currenAacutesup1Auml|raquo13]iAring~raquo~sup1currenOgraveYacutefrac34sup1raquoordmiexclAEligwraquo~frac14dUgravenAtilde5AElig5iquestPcedilAtildeordm|sup1Auml|raquoTordmdcedilAumlCcedilgsup1raquo~ordmiquestfrac14draquoiEcircZEgravefrac145frac34LAtilde5AEligacute|aacuteTHORNOgraveregAumldcedilIgraveFAring~frac12currenAacutesup1Eacuteifrac14raquoiEcirc sup1Igravefrac14ordm|AtildeTAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo13aIuml xQ|||micro~pwld lnrRtcodtimesosect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4v Icent iquesteJ q+yU^dugrave|ugrave Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfo

i $amp)(+-)013021+345627893lt=gt9A6CBfrac12OcircacuteIshyNT

frac12OcircacuteIltNTpara frac12frac34EMeJaumlQcYZYZjJUacuteQsY H [ ^QEgraveJLhZJUO H QcN H J H MeJordfXiacute[]fcfR[WQcO[Oslash^e[]ZaringNPQsOXiacutejOb H QR[]ONPfdaringocirc|adOuml times jOcircaacute uuml times a2atildeltszligaumlgtszliglOuml times j atilde auml

G QsObnJ H MJeumlYZJ H [SXIacuteNPfcfUacute^e[]ZaringNPQsOYMNPY Oe[ H N Y H hjb H jhZJ`[SXUPJUb H [PhQcNPfOtildeYZKNPbnJSefRJ H jYZ N`PJ H MeJeumlhZJ[]QR[]OYJUP[]fVUPJ H MehZ[]j[]M NrXqNSZaringQcfVm [SX H hNPOYYX[PhlZ N H QR[]OYa(|aagraveszlig jj emiddot iacuteaumlYlZOslash[[ H MaNPO^ centQ ~JUb H QVUPJS^ not [PhNOslashKEgrave[]QcO H $ aacute atildeshyszligaumlN eFWFJTOe[ H JSaring$ aagravej|aacutemiddot|aagraveszlig $ j WiexclQ H M |a s szlig $ jaacute $OumlcopytimesaagravejOcircaacutemiddot|aagraveszliglOumlutimesdj WiexclQ H M |a s szliglOumlcopytimesAjOcircaacuteAumlOumlutimes9J H jY H MeJUO^JOeJ H MeJordfUPJUfR[WbLQ H moUPJUb H [PhdY JUfs^kfrac12 YZjbM H MN H aringfrac12sup1aagraveszlig $ aagravejj|aacute aelig |aelig agrave aagraveszlig $ j YlaquoXiacuteNiharingNPY H MeJ bn[]ZOslashKj H N H QR[]O[SX H MeJ ^eJLhQU~N H QVUPJ QcYOslashbn[]ObnJLhOeJU^OeWFJNihZJQcOWVH JLhZJUY H JU^ QcO YYZaringNPfcfOtilde^JX[PhlZ N H QR[]OY^ J H MBjYJkWKNPO^ H MeJ H hNPOYX[PhZaringN H QR[]ONPbLbn[Ph^QcO[ H [hdY H [Ph^eJLh NmWfR[PhyacuteXiacute[PhlZtimesjfcNaring|aagraveszlig $ jpoundaacuteAElig|a s szlig $ j agrave aelig |aelig agrave a s szlig $ jaacute $ ragrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacute frac14 frac14 a s szlig $ j^ J H MeJUOQcO H hZ[W^jbnJ H MehZJLJgZ NPQcO^eJOQ H QR[]OYaringf^QMeJg0jfRJLhQcNPO^eJLhQU~N H QVUPJOtilde[SXocirc|adOuml times jordfaqQcO H MeJIacute^QRhZJUb H QR[]O[SXcedilfrac12jaring ocirc|adOumlcopytimesszlig_frac12jOcircaacutefcQZUcedil iacute ocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave admacrfj ^QMeJgZaringN H JLhQsNPfg^eJLhQVUiN H QVUPJOtilde[SXuumlStimesYa $ szliglOumlcopytimes)jaringsup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j|aacutefcQZUcedil iacute uumlStimesa $ ragrave3frac12ba $ jszliglOumlutimes agrave3frac12sup1a $ jj uuml]timesa $ szliglOumlcopytimesdjagrave admacr j^QMeJaumlYZMNiKEgraveJOtilde^eJLhQU~N H QVUPJOtilde[SXOcircuuml]timesa $ szliglOumlutimes)jaring

uumlnotraquotimes a $ szliglOumlcopytimesUcircszlig_frac12 jaacutefcQZUcedil iacute uumlStimesYa $ szliglOumlutimesragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave admacrS]j

uumlnyacutenthornnyumll13YSordmY_Fordfy

yenKbrvbarsect =4 acirc $ hq centUWQR[]jYZfVmSe-centmaJkBKNPO^QcO[ admacr jUacuteNPbLbn[Ph^QcOF[ H [hdY H [Phd^eJLhordfNmBfR[PhordfXiacute[PhlZtimesjfcNeWFJaumlMNUPJSaring sup1uumlStimesYa $ szliglOumlcopytimesUcircszlig_frac12 jaacuteAumluumlnotraquotimes a $ szliglOumlcopytimesszlig_frac12jhuumlStimesa $ szliglOumlcopytimes)j frac12sup1a $ j admacrj J H MeJUOabn[]ZOslashK-j H JZOslash[PhJaumlKhZJUbLQcYZJUfVm H MJ0jfRJLhQcNPO ^eJLhdQVU~N H QUPJauml[SXcopyocirc|adOumlcopytimesdj^ JMNUPJSaringocircOcircadOumlutimesaagravejj ocircOcircadOumlutimes)jagrave aacute fagrave = thorn yuml uuml times a $ aagravejszliglOuml times aagravejj $ uuml times a $ szliglOuml times j $ FH admacrSmacr]j5O H MJohY H QcO H J[PhdNPfdeltWFJZaringN`PJ H MeJU~NihdQcNicentfRJ bMNPO[PJ $ aagravejaacute $ agrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacuteethicirc7a2atildeshyszligaumlFjszligicirc cent a2atildeltszligaumlj eWMQcbdM[]QVUPJUYaring thorn yuml uuml]timesYa $ aagravejszliglOumlcopytimesYaagravejj $ aacute admacrS]j

5 uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlutimes agrave3frac12sup1a $ jjlt^eJ H ocirc a $ jlt $WMJLhZJocirc a $ jQcY H MeJgXiacute[]fcfR[WQcO[aringSNPbn[PcentQcNPOtZaringN H hdQkKaring

ocirc a $ jaacute oacute fcedilxagrave frac14 iacute oslashfrac14Uordm agrave frac14 iacute oslashfrac14 ugraveagrave frac14 iacute acircfrac14ordm fcedil agrave frac14 iacute acircfrac14 ugrave ocircNPO^ YZ[eFWNtildeJIacuteMNUPJSaring

^eJ H ocirc a $ jOcircaacute fUragravee^QVUKafrac34frac12sup1a $ jjragrave cent ^eJ H amacr frac12sup1a $ jjMJUOWNtildeJauml[Pcent H NPQcOOaring

fsQZcedil iacute ^eJ H ocirc a $ j fagrave aacute ^QVUKafrac34frac12sup1a $ jj admacr]zSjMJJBjN H QR[]OxadmacrSmacr]j H MeJUOcent=JUbn[]ZaringJUYaringocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave aacute fagrave middot uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jjlt 13raquo ocirc a $ jlt $ uumlStimesa $ szliglOumlcopytimesAj $ admacrSi]j JTbLNPO`YZjeKKEgrave[]YJ H MN H ^eJ H aocirc a $ jjfrac14aacute sfrac12 agrave frac12 $ ^ JZaringNm H MeJUO H N`PJ^eJ H aocirc a $ jjfrac34 s eNPO^ WNtildeJ ^eJUPJUfR[PK H MeJaJkWKhZJUYYZQR[]OadmacrSi]j NPYoX[]fsfR[WQsO[centmNP^^QcO[aringN H JLhZ QcO H MeJIacuteYZJUbn[]O^aQcO H J[PhNPfltWMQcfcJaumlYZjeKKhJUYZYZQcO[ H MeJtimesYZNSZOslashJ H JLhlZQcO H MJordfhY H QcO H J[PhNPfdaring ocirc|adOumlcopytimesYaagravejj ocirc|adOumlcopytimes)jagrave aacuteegraveOtildef1rOtilde cent admacrSh]j

uumlnyacutenthornnyumll13YSordmY_Fordf

s $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJSaring

Otilde aacute uuml]timesa $ ragrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave ^eJ H aocirc a $ jj $ ad s jOtilde cent aacute uuml]timesa $ szliglOumlcopytimesdj ^eJ H aocirc a $ jj fagrave $ adfj

9J H jY_ZaringN`PJordmagrave H JUO^ H [WNih^Y s ^curreniquestYZQcO[frac34admacrjiexclNPO^JOQ H Qc[]OYadmacr e macrS]jeWFJ[PJ H aringfcQZUcedil iacute Otilde aacute sup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j $

aacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ uuml times a $ szliglOuml times j frac12sup1a $ j $fcQZUcedil iacute Otilde cent aacute uuml]timesa $ szliglOumlcopytimesdj^QVUKafrac34frac12 j $

O^ Y[Xiacute[Ph H MeJgNtildejfRJLhQsNPO ^eJLhQVUiN H QVUPJSeWFJgO^Oaring ocirc|adOuml times szlig_frac12jumlaacuteyacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ amacrreguumlStimesYa $ szliglOumlcopytimes)j frac12sup1a $ j7 uuml]timesYa $ szliglOumlcopytimes)j^QVUKafrac34frac12sup1a $ jjj $aacute uumlnotraquotimes a $ szliglOuml times szlig_frac12j $ ^QVUKaduuml times frac12j $ ad j

MeJUO NiKKfVmWQcO[ H MJ hJLJUOWVAQRJZ NPOO H MeJL[PhZJZQcO ad jeWNtildeJ5ONPfcfmtimes[Pcent H NPQcOOaring ocirc|adOumlcopytimesszlig_frac12jOcircaacute uuml raquotimes a $ szliglOumlcopytimesUcircszlig_frac12j $ uacutefrac14 5 uuml]timesYafrac34frac12 eacuteAgraveiquestsup1AacuteAtildeAcircj THORN adS]jWMJLhZJ5eacuteAgraveiquestsup1AacuteAtildeAcircyQcY H MeJUacutejOQ H QcOOgraveWNih^ Oe[PhlZaringNPf H [ aelig OumlcopytimesUcirc^MeJ_NtildejfRJLhQcNPO ^eJLhQVUiN H QVUPJQcY(O[ H JU^ ocirc raquo aagravej(QcO H MeJaumlKNiKEgraveJLhNPO^ H MeJaumlYZMNiKEgraveJauml^eJLhQU~N H QVUPJyuuml raquotimes QcY(Oe[ H JU^ frac14 frac14 ^iquest acutemicrosup1cedilFLft not [PhyYQZOslashKfcQsbLQ H mSeWNtildeJ(bM[[]YJ H MeJcopyXiacute[]fcfR[WQcO[_U~NihQsN H QR[]OaeligQcO H MeJKhZ[B[SXaring$ aagravejaacute $ agrave3frac12sup1a $ j^MJiexclKh[[SXZaringNm NPfcYZ[IacutecentEgraveJiexcl^JUPJUfR[PKEgraveJU^WiexclQ H MZaring[PhZJ_[PJUOJLhNPfUiNihQcN H QR[]OYFYjbM NPYaring $ aagravejaacuteAacuteAgravea $ szligYagravejWQ H MAcircAgrave`NOslashYYZOslash[B[ H MXiacutejOb H QR[]ONPO^AcircAgravea szligYagravejcentQ ~5JUb H QVUPJS^

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ ffrac12OcircacuteIshyNT AcircE J(MNUPJ H [Otildebn[]ZOslashK-j H J H MJNtilde^QEgraveJLhZJUO HH JLhZaringY9[SXQa macr]j9QsOauml[Ph^eJLh H [Uacute[Pcent H NPQcO H MeJ

JUP[]fcj H QR[]OJBjN H QR[]O[SX H MeJ NPb H QUPJ bn[]O H []jehX[Ph H MeJ ^JUYZbnhQRK H [PhdYaumlcentNPYJU^Oacute[]OH MeJ(bn[U~NihQsNPObnJ ZaringN H hQVktimes^eJ H JLhlZ QcONPO H a2Ograveh]j^OgraveMeJ(bn[]ZOslashKj H N H QR[]OaringQcYampKEgraveJLhYXiacute[PhlZOslashJU^Xiacute[Ph H MeJIacute^eJUYZbnhQRK H [Ph_uuml thorn timesOslash yuml ^ q centUWQR[]jYZfmSeN YZQZ QcfcNihbn[]ZOslashKj H N H QR[]OabLNPOacent=JIacute^e[]OeJXiacute[PhOcircuuml thorn UgraveUcircUacuteUuml yuml ^ JiexclbLNPOaeligJkBKhJUYZYOcircuuml thorn timesOslash yuml NPYyNUacutebn[]ZTcent-QcON H QR[]Oaelig[SXgtXiacutejOb H QR[]OYamp^eJLKEgraveJUO^QcOF[[]O H MJOtildehZJ[]QR[]OwOuml timesOslash aring

uumlgtthorn times Oslash yuml a2atildeltszligaumlgtszligYagravejaacute`Ograveoacute m thorn timesOslash yumlaIgraveagrave thorn timesOslash yumlAtilde j cent ocirc adjWMJLhZJordmaacuteAuml85eWiexclQ H MAring8 H MeJordfXqjOb H Qc[]O QcO H h[B^jbnJU^ QcOpounda2Ograveh]je-NPO^aringm thorn timesOslash yuml aacute agrave thorn timesOslash yuml agrave thorn timesOslash yumlcent agrave thorn timesOslash yuml agrave thorn timesOslash yumlAElig agrave thorn times Oslash yumlCcedil agrave thorn timesOslash yumlEgrave agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlEgrave j cent agrave thorn times Oslash yumlcent aIgraveagrave thorn timesOslash yumlCcedil j cent agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlAElig j centWQ H MOaring EFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFH

agrave thorn timesOslash yuml aacute w$ thorn yuml aOtilde S times Oslash j cent atilde aumlagrave thorn timesOslash yumlcent aacute w$ thorn yuml aOtildeOgravecent Scenttimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yuml aacute w$ thorn yuml aOtildeS Stimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yumlAElig aacute w$ thorn yuml aOtilde S times Oslash jaOtildeOgravecent ScenttimesOslash j atilde aumlagrave thorn timesOslash yumlCcedil aacute w$ thorn yuml aOtilde S times Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlEgrave aacute w$ thorn yuml aOtilde cent S centtimes Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlAtilde aacute w$ thorn yuml atilde auml O^ Y[ H MJordfXiacutejOb H QR[]OY aelig thorn timesOslash yumlauml MNUPJ H MeJgXiacute[]fcfR[WiexclQcO[aeligJkBKhZJUYZYZQR[]OYaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

aelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlcent aacute aOtilde cent S centtimesOslash j centaelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlAElig aacute aOtilde S timesOslash jaOtilde cent S centtimesOslash jaelig thorn times Oslash yumlCcedil aacute aOtilde S timesOslash jaOtilde S timesOslash jaelig thorn times Oslash yumlEgrave aacute aOtildeOgravecent ScenttimesOslash jaOtilde13 StimesOslash jaelig thorn times Oslash yumlAtilde aacutemiddotf

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBnot h[]Z H MeJUYJaumlJkWKhZJUYYZQR[]OYeWFJOtildeJUNPYZQcfm ^eJU^jbnJ H MN H aring

$ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde aumlregaacute sEacutefrac12poundEcirc iuml

J H MeJUO MNUPJ H [Tbn[]ZaringKj H J H MeJ H JLhlZaringY eacute thorn times Oslash yumlauml XiacutehZ[]Z H MeJJkWKhZJUYZYQR[]OYamp[SXagrave thorn timesOslash yumlauml eWMQcbM fRJUNP^Y H [aringEFFFFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFFFFH

eacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideoslash aacute w$ thorn yuml uacute ouml $ordfdivideacirc uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIgrave yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H a timesOslash jjeacute thorn timesOslash yumlcent aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideacirc

aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIcirc yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideEuml aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideacirc thorn thorn uacute ouml $_divideIuml yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yumlAElig aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIuml aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideEuml uacute ouml $ordfdivideIuml thorn uacute ouml $_divideIcirc uacute ouml $ordfdivideIgrave yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlCcedil aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIcirc aacute w$ thorn yuml cent thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideacirc uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlEgrave aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIgrave aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideoslash uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlAtilde aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIacute aacute w$ thorn yuml thorn +ETH ouml $_dividethorn uacute ouml $ordfdivideIacute yuml Iuml 8 raquo aq^J H a timesOslash jj

O^centmJkWKhZJUYZYZQsO[ H MeJbn[UiNihQcNPObnJZaringN H hQVkpoundWQ H M H MJregXqjOb H QR[]OYagrave thorn timesOslash yumlauml NPYXiacute[]fcfR[WQcO[aring

timesOslashlaquoaacute 1NtildeNtildeNtildeNtildeNtildeNtilde3uacute ouml $ordfdivideoslashuacute ouml $ordfdivideIacute uacute ouml $_divideIumluacute ouml $_divideIacute uacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIumluacute ouml $ordfdivideIacute uacute ouml $_divideacircuacute ouml $_divideIacute uacute ouml $ordfdivideIgraveuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacute uacute ouml $_divideIgraveuacute ouml $_divideIacute uacute ouml $ordfdivideEumluacute ouml $ordfdivideIacute

6OgraveOgraveOgraveOgraveOgraveOgrave7 J H MJUO^eJU^jbnJSaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

eacute thorn times Oslash yuml aacute a fj thorn yuml ^eJ H aDC Ptimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlcent aacute a fj thorn centcent yuml ^eJ H aDC centcenttimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yuml aacute a fj thorn curren yuml ^eJ H aDC 4times Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlAElig aacute a fj thorn cent yuml ^eJ H aDC centtimes Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlCcedil aacute a fj thorn curren yuml ^eJ H aDC times Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlEgrave aacute a fj thorn centcurren yuml ^eJ H aDCcent4times Oslash j48 raquo aq^eJ H a timesOslash jjeacute thorn times Oslash yumlAtilde aacute amp^eJ H a timesOslash j48 raquo aq^eJ H a timesOslash jj

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ SWMJLhZJC EBtimesOslash QcY H MeJgZaringN H hdQk ^eJU^jbnJU^Xh[]ZOacutetimesOslasharingcentm YZjeKKhZJUYZYZQcOF[ H MeJyuuml UumlON hZ[WNPO^ H MJ I UumlON bn[]fcjFZaringOO^]MeJbn[]ZOslashKj H N H Qc[]OordmX[Ph H MeJ^eJUYZbnhdQRK H [Ph|uuml thorn UgraveUcircUacuteUuml yuml QcYyYQZaringQcfcNihNPO^WFJ H MeJUOOslashMNUPJNPfcf H MeJ(JkWKhZJUYZYZQc[]OY H [aumlbn[]ZOslashKj H J H MeJJUP[]fcj H QR[]OaeligJjN H QR[]OXiacutehZ[]Z H MeJg[PJUOJLhNPfOXiacute[PhlZIacutejfcNta macr]j^gtMQcYcopy[]QVUPJUY H MeJTJUP[]fcj H QR[]O JBjN H QR[]Osup1admacr s j^

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBΩ out

Objects

Γ

inΩ

inΩ

Background Part

-t not Upv copy ETHEgraveIcircAtildeampAacuteiacuteCcedil=AumlFcedilAtilde5ordm|sup1Aumldraquo~AElig9AumldOgravefrac14raquoUacutesup1Igravefrac14dordm|Atilde

Ω

Ω out (τ)Ω

(τ)in

N

Γ(τ)

Ω

N

v

w

N

-t not Upv ETHEgraveIcircAtildeyEcircAumldIgravefrac14dsup1raquo~AEliggfrac14raquoiEcircAacuteIcircAtilde$AcircnAtilde5AgraveAacuteAumlcedilAEliggsup1raquoUAcircnAumldfrac12AcircnAtildeEcircsup1raquoiexclAacuteIcirc~Atilde$EcircAtildecedilsup1Acirc|frac14ZAacutesup1Aumldraquo

uumlnyacutenthornnyumll13YSordmY_F2ordf

yenKbrvbarsect =4 acirc $ Smacr

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 Atilde|IumligraveAacuteAtildecedil4frac14ZAacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvyzU eacuteWsup1ordm|AringcedilAtilde5AEligfrac14iquest Eacuteiquest AgraveJ]iUumlAcircnAumldfrac12AringAacutesup1Auml|raquoOtildeAumlOgraveeAacuteIcirc~Atildeyfrac14dAgrave Aacutesup1Acirc|Atilde0AgraveAuml|raquoLAacuteAuml|AringcedilIgravefrac14raquoifrac14ordm|AtildeEcircUacuteEacuteLfrac34AacuteIcirc~AtildefTHORN$Uuml v qzqwsup1raquo~Agrave5frac12AringiEcircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquoifrac14frac12ampAacuteAtildecedilIgrave(AElig5IumlgeacuteWsup1ordm|AringcedilAtilde5AEligOtildeEcirc]iquest Atildediquest Ograve] g sup1AEligwAringifrac14frac12sup1Ocirc5frac14Aacutesup1Auml|raquo`AumldOgrave0AacuteIcirc~AtildeTAgrave5AumldcedilwcedilAtilde5AEligwOumlPAumldraquoiEcircsup1raquoordmAcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 OgraveuAring~raquoAgraveAacutesup1Auml|raquosup1raquo~Agrave5frac12Aring~Ecircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquo~frac14dfrac12ampAacuteAtildecedilIgrave(AEligraquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirc EacutePAtildeAacuteiacuteCcedil=Atilde5Atilde5raquo ugrave frac14draquoiEcirc divide JUiquestAEligwAring~Agrave4IcircTAacuteIcirc~frac14Aacute$AacuteIcircAtilderaquo~Atilde5ordm|frac14Aacutesup1AcircnAtildeAcircdfrac14dfrac12AringAtilde5AElig0frac14cedilAtildefrac12AumlCcedilEgraveAtildecedilyAacuteIcirc~frac14draquo uacutedivide Uacutefrac14raquoiEcircaumlAacuteIcirc~AtildeOumlPAumldAEligwsup1Aacutesup1AcircnAtilde(Aumldraquo~Atilde5AEligyfrac14ZcedilAtilde(Icirc~sup1ordm|IcircAtildecedilAacuteIcircifrac14raquo uacuteZdivide Iuml

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

Ecirc]Iumligraveraquo~sup1currenAacutesup1frac14dfrac12BAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 Atilde|IumligraveAacuteAtilde cedil4frac14Aacutesup1Auml|raquo ugravedugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not Upv ucirc eacuteWsup1ordmdAringcedilAtilde5AEligtimesfrac14iquest Eacuteiquest AgraveJ]ampUumlAcirc|Auml|frac12AringAacutesup1Auml|raquoAumlOgrave(AacuteIcirc~Atildearingfrac14AgraveAacutesup1AcircnAtildeOslashAgrave5Auml|raquoLAacuteAumldAringcedilIacuteIgravefrac14draquoifrac14ordm|AtildeEcirc`EacuteUfrac34AacuteIcircAtildeOcircfTHORN$Uumlv q w iquestiexclCcedilgsup1currenAacuteIcirc~AumldAringAacuteAacuteIcirc~Atildefrac14dEcirc~Ecircsup1Aacutesup1Aumldraquoifrac14dfrac12TAacuteAtildecedilIgrave(AElig5IumliexcleacuteWsup1ordm|AringcedilAtildeAElig Ecirc]iquest Atildediquest Ograve] g sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo AumlOgraveaeligAacuteIcirc~AtildeAgraveAumldcedilwcedilAtildeEumlAEligwOumlPAuml|raquo~Ecircsup1raquo~ordm AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 OgraveregAring~raquo~Agrave Aacutesup1AumldraquoeumlCcedilgsup1currenAacuteIcirc~Auml|AringAacuteIacuteAacuteIcircAtilde frac14|Ecirc~Ecircsup1currenAacutesup1Aumldraquoifrac14frac12FAacuteAtildecedilIgrave(AElig v raquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirceumlAEligwAring~Agrave4Icirc AacuteIcirc~frac14AacuteIgravefrac14icirc vOOtilde wpOumldivide z w Iuml

uumlnyacutenthornnyumll13YSordmY_F2

S $amp)(+-)013021+345627893lt=gt9A6CB

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIumligravesAacuteAtildecedil4frac14Aacutesup1Aumldraquogt ugrave|ugrave AgravedIumlieacuteWsup1raquoifrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12Acirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 AtildedIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIumlieacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvtimesLg sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo(AumldOgravePAacuteIcirc~AtildeAtildeAcircnAuml|frac12AringAacutesup1AumldraquoAumldOgravePAacuteIcircAtildeEgraveAgrave5Auml|raquoLAacuteAumldAringcedil-frac14draquo~EcircNtildeAacuteIcirc~AtildeEgraveAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 v Ccedilgsup1AacuteIcircAuml|AringAacuteAacuteIcircAtildeEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircFAacuteAtilde cedilIgrave w OgraveregAumldcedilEgraveAacuteIcircAtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoAumlOgraveAacuteIcircAtilde9Ograveufrac14dAgrave5AtildeAring~AEligwsup1raquo~ordmyAacuteIcirc~Atilde9Agrave5AumlZAcirc|frac14Zcedilsup1frac14draquo~AgraveAtildeIgravefrac14Aacutewcedilsup1currenicirc]Iuml

frac14Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcircnAtilde EacuteIumligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 v AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde w Agrave|Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacutefrac34 v Acircdfrac14cedilsup1frac14draquoAgrave5Atilde w-t not Upv h=AumldIgrave(Oumlifrac14cedilsup1AEligwAumldraquoOtildeAumldOgraveAacuteIcirc~Atilde$sup1raquo~sup1currenAacutesup1frac14dfrac12eAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34iexclAgrave5Auml|Igrave(OumlAringAacuteAtildeEcircAringAEligwsup1raquo~ordmAacuteIcirc~Atilde$AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde0Igravefrac14Aacutewcedilsup1currenicircv iordmdAringcedilAtildeFEacute w AacuteAumliexclAacuteIcircAtildeAuml|raquoAtildeFAgrave5AumldIgrave(Ouml~AringAacuteAtildeEcircTAringAEligwsup1raquo~ordmiexclAacuteIcircAtildeFAcircdfrac14cedilsup1frac14draquoAgrave5Atilde v ~ordm|AringcedilAtildeFAgrave w OgraveregcedilAumldIgrave AacuteIcirc~AtildeNtildeAEligfrac14dIgrave(Atildesup1raquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcirc|Atilde v iordmdAringcedilAtilde$frac14 w Iuml

uumlnyacutenthornnyumll13YSordmY_F2_a

yenKbrvbarsect =4 acirc $ ]z

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv Oslash| THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5AtildeccediliacuteAtildecedilsup1UgraveUegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_o

Si $amp)(+-)013021+345627893lt=gt9A6CB

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv ordf THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5Atildeccedilqfrac14dUgraveUsup1currenfrac34LAumldegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_y

RR-0114-SJEHANpdf
  • wwwi3sunicefr
    • httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf
Page 23: LABORATOIRE INFORMATIQUE, SIGNAUX ET SYSTEMES DE …mh/RR/2001/liste-2001.pdf · 2002. 6. 27. · [Dir01] DIRAT L. “Outils pour des Mathématiques Interactives et Distribuées”

yenKbrvbarsect =4 acirc $ fH MeJtimes^QcYZbn[]O H QcOBjQ H QRJUY(QsO H [ NPbLbn[]jO HUacuteH MNPOF`BY H [ H MeJtimesbn[PhZ[]fcfcNihlmSe H MeJtimes^eJLhQVUiN H QVUPJ[SXocirc aagravejQcYcopy[]QVUPJUOacentmKaring

ocirc raquo aagravejumlaacute uacuteucirc thorn yuml uumlNaeuml eacutej THORN uacutefrac14 uumlOaLUcirc eacuteAgraveiquestsup1Aacutej THORN $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde auml thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afj

q centUWQR[]jYZfVmSe H MeJ7YJUbn[]O^ H JLhlZ [SX H MeJ7^eJLhQVUiN H QVUPJ afjaQcYcurrenLJLh[ YZQcObnJ H MeJJk H JLhONPf(centEgrave[]jO^NihYm aelig OumlD[SX H MeJ`QZaringN[PJaQcYkBJU^^OcircJLKfcNPbLQsO[` uumlN_WQ H MQ H YJkWKhZJUYZYQR[]OOeWNtildeJyO^Oaring

ocirc7raquo aagravejumlaacute uacuteucirc thorn yuml aduuml thorn UgraveUcircUacuteUuml yuml1 uuml thorn timesOslash yuml jaeuml eacuteHj THORN $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde auml thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afmacr]jMJUacute^JLhQVUiN H QVUPJOtilde[SXocirc cent aagravejQcY(bLfcNPYZYQcbLNPfdaring

ocirc7raquocent aagravejOcircaacute uacuteucirc thorn yuml a uuml thorn otilde)yumld huuml thorn otilde)yuml7 eacutejaeuml eacutej THORN af]jWMJLhZJ a2atildeshyszligaumlKszligYagravejQcY H MeJaumlbLjehlU~N H jehJ[SXQYacutea2atildeltszligaumlgtszligYagravej^MeJLhZJXiacute[PhZJSe H MeJOtilde^eJLhQVUiN H QVUPJ[SX H MeJgWM[]fRJOtildebnhQ H JLhQR[]O QsY H MeJordfXiacute[]fcfR[WiexclQcO[aring

ocirc raquo aagravejpoundaacute $ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde aumlamp thorn yuml aelig uuml thorn UgraveUcircUacuteUuml yumlaelig agrave atilde auml afzSj uacuteucirc thorn yuml aduuml thorn UgraveUcircUacuteUuml yuml uuml thorn timesOslash yuml uuml thorn otilde)yuml huuml thorn otilde)yuml eacutejaeuml eacutej THORN

^ ^~THORNUgrave2FEgraveOIgraveIcircIcirclt2EacuteltOacute Eacute0frac34ETH9Igrave8shyIgraveFEgraveEcirc+NtildeFETH3Ecirc+ltIgraveNtilde7==EacuteltEgrave7813Oacute14 ETHOEacute ETH9IgraveOacuteszligltOacuteshyEacuteOacuteAgrave+QIgraveFEumlEacuteAtilde=13ETH+ltIgrave5=KETHOEacuteshyEgravesup1euml5Oaelig[Ph^eJLh H [Tbn[]ZaringKj H J H MeJuUPJUfR[WbLQ H mUPJUb H [PhcopyeumleSWNtildeJMNUPJ H [yZ N`PJQ H NiKKEgraveJUNihyQcOH MeJhY HH WF[ ^e[]Z NPQcOaQcO H J[PhNPfcYiexcl[SX afzSjcentmJkWKhZJUYZYQcO[ H MeJZ NPY_XiacutejOb H QR[]OY[SX H MeJgUPJUfR[WbLQ H meumlQ^iexclJLhZJiexclWFJ H N`PJ H MeJ5[PJUOeJLhNPfbLNPYZJ5WiexclMeJLhZJ H MeJ^JUYZbnhQRK H [PhdYZaringNm ^eJLKEgraveJUO^ []OXiacuteJUN H jehZJUY5[]fR[PcentNPfsfVmN HH NPbMeJU^ H [ H MJtimeshJ[]QR[]OeumlNPO^eumlY[oZ Nm`^JLK=JUO^a[]O agrave^ JZOslash[W^eJUf$JUNPbdM^eJUYZbnhQRK H [PhIacuteNPYtimesNabn[]ZIacutecentQcON H QR[]OOacute[SXuXJUN H jhZJUYy[]fc[PcentNPfcfVmeumlN HH NPbMeJU^

uumlnyacutenthornnyumll13YSordmY_F

f $amp)(+-)013021+345627893lt=gt9A6CBH [ H MJOtildeJUP[]fVUBQsO[OslashhZJ[]QR[]OY_OumlcopytimesOslashKaagravejF[Ph_Ouml UgraveUacuteUuml aagravejaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejpoundaacuteAElig thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn timesOslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejszligiumlViumlViumlVszligagrave thorn timesOslash yumlaacute aagravejjuuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszligYagravejpoundaacuteAElig thorn UgraveUcircUacuteUuml yuml a2atildeltszligaumlgtszligagrave thorn UgraveUcircUacuteUuml yuml aagravejszligagrave thorn UgraveUcircUacuteUuml yumlcent aagravejszligiumlViumlViumlVszligagrave thorn UgraveUcircUacuteUuml yumlacirc aagravejjafi]j

WMJLhZJSaring agrave thorn(atilde yumlauml aacute 7aring thorn yuml5aelig thorn(atilde yumlauml a2atildeltszligaumlgtszligYagravej atilde auml WQ H Mpounda jOcircaacuteacircaVltjF[Pha Kf5 jiuml afh]j9J H jYuhY H bn[]ZOslashKj H J H MeJIacute^eJLhQVUiN H QVUPJOtilde[SXuuml thorn timesOslash yuml eFWFJgO^Oaring

aelig uuml thorn times Oslash yumlaelig agrave aacute aacuteccedilaumlegrave aelig thorn timesOslash yumlaelig agrave thorn times Oslash yumlauml a2atildeltszligaumlgtszligagrave thorn timesOslash yuml aagravejszligiumlViumlViumlVszligagrave thorn timesOslash yumlaacute aagravejj aelig agrave thorn timesOslash yumlaumlaelig agrave aagravej a s j J MNUPJOe[W H [bn[]ZOslashKj H J H MeJ ^eJLhdQVU~N H QUPJ [SXagrave thorn timesOslash yumlauml NPbLbn[Ph^QcO[ H [umlagrave^ JNiKK-fVm H MeJgMeJL[PhZJZigravefaumlNPO^WNtildeJy[PJ H aring

aelig agrave thorn timesOslash yumlaumlaelig agrave aacute $ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde auml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacutej THORN a fj

JLKfcNPbLQcO[ H MeJNtilde^eJLhdQVU~N H QUPJUY9[SX3agrave thorn timesOslash yumlauml WQ H M H MeJUQRhJkWKhZJUYZYZQc[]OYa fj9QcOa s jeSWFJ[Pcent H NPQsO H MJXiacute[]fcfR[WQcO[iexclJkBKhJUYZYZQR[]OX[Ph H MJF^e[]Z NPQcOaeligQcO H J[PhdNPf[SX H MeJ^eJLhQVUiN H QVUPJ[SX H MeJT^eJUYbnhQRK H [Ph uuml thorn times Oslash yuml aring

$ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde aumlacircaacute aacuteccedilaumlordfegrave -eacute thorn timesOslash yumlauml $ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde auml

aacuteccedilaumlordfegrave eacute thorn timesOslash yumlauml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacuteHj THORN a S jWMJLhZJSaring

eacute thorn timesOslash yumlauml aacute $ thorn yuml aelig thorn timesOslash yumlaelig agrave thorn timesOslash yumlauml a2atildeltszligaumlgtszligagrave thorn timesOslash yuml aagravejszligiumlViumlViumlVszligagrave thorn times Oslash yumlaacute aagravejj atilde auml a ]jMJIacuteJkWKhZJUYZYQR[]OwXiacute[Pha jyacuteaacute a Kf jiexclQcYbn[]ZOslashKj H JU^QsO H MeJaeligYZNSZOslashJordmZaringNPOOeJLhiexclWMQcfRJKNmBQsO[N HH JUO H Qc[]O H [ H MeJ`^QRhZJUb H QR[]O[SX H MeJ`Oe[PhlZaringNPfcopyUPJUb H [PheNPO^rWFJ H MBjY

uumlnyacutenthornnyumll13YSordmY_Fsup2

yenKbrvbarsect =4 acirc $ fmacr[Pcent H NPQsO H MeJg[PJUOeJLhNPfgJkBKhJUYZYZQR[]OXiacute[Ph H MeJauml^JLhQVUiN H QVUPJOtilde[SXocircOcircaagravejaring

ocirc raquo aagravejumlaacute uacuteucirc thorn yuml aduumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn times Oslash yuml uumlgtthorn otilde)yuml d hreguumlgtthorn otilde)yuml eacuteHjaeuml eacutej THORN aacuteccedilaumlordfegrave eacute thorn timesOslash yumlauml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacuteHj THORN acircccedilaumlordfegrave eacute thorn UgraveUcircUacuteUuml yumlauml uacuteucirc thorn yuml aelig thorn UgraveUcircUacuteUuml yumlauml aeuml eacutej THORN aacuteccedilaumlordfegrave -eacute thorn timesOslash yumlauml $ thorn yuml aelig aelig thorn

timesOslash yumlaumlaelig agrave atilde auml acircccedilaumlordfegrave eacute thorn UgraveUcircUacuteUuml yumlauml thorn yuml aelig aelig thorn

UgraveUcircUacuteUuml yumlaumlaelig agrave atilde auml a j^ ^ecirccopyEgraveEacuteshyIacuteIumlETH39shyIgrave8shyIgraveFEgraveEcirc+NtildeFETH3gt+QIgraveETHOEacute3iexclNtildeshyEgrave78QIcircETH9IgraveumlIgrave+EacuteltEumlETHshyETHEacuteshyOacuterIgrave5euml1ONtildeFETH32EacuteltOacuteEacute10wETH9Igrave Ntilde=KETH3gt+ltIgrave=EacuteshyOacuteshyETHEacute1EgraveMJ[P[]NPf[SX H MQsYampKNih H QcY H [aumlbn[]ZOslashK-j H J H MeJ(JkWKhZJUYZYZQc[]Oaelig[SX H MeJuUPJUfc[BbLQ H mUPJUb H [PheumlwWMQcbdMregZaringN`PJUY H MeJUacutebLjehYUPJJUP[]fVUPJOtildeNPYXiacuteNPY H NPYFKEgrave[]YZYZQRcent-fRJ H [WNih^Y(NZaringQcOQCZIacutejFZ[SX H MeJaeligbnhQ H JLhdQR[]Oumlocirc^KO`[Ph^eJLh H [ ^JU^jbnJ H MJyUPJUfR[WbLQ H mwUPJUb H [PhOtilde[SX H MeJaeligNPb H QVUPJbn[]O H []jehQXhZ[]Z H MeJF^eJLhQVUiN H QVUPJ0[SX H MeJNtildebnhQ H JLhQR[]OOeWFJMNUPJ H [5Z N`PJFNiKKEgraveJUNih H MeJUPJUfR[WbLQ H moUPJUb H [PhUacuteQcO H MJTfcNPY HH WNtilde[ ^e[]ZaringNPQcOaQcO H J[PhdNPfcY(centm JkWKhZJUYYZQcO[ H MeJZ NPYcentEgrave[]jO^NihYm QcO H J[PhNPfcY^FMQcYbLNPOaJUNPYZQcfVm centEgraveJauml^e[]OeJTjYZQcO[MJL[PhZJZigravefe-^[]ZaringNPQcOQcO H J[PhNPfcYbLNPOeumlNPfVWNmWYiexclcentEgraveJIacuteJkBKhJUYZYJU^ NPYcentEgrave[]jO^NihYm QcO H J[PhdNPfcY^gtiexcl[WFJUPJLheOXiacute[PhYZQCZOslashKfcQcbLQ H mSe-fcJ H jYbn[]OYZQc^eJLh H MeJaringbLNPYJUYgWMeJLhZJ H MeJUYJOslashfcNPY HH WNtilde[`QcO H J[PhdNPfcYOtildeNihZJJBjNPf H [currenLJLhZ[eOgraveWMQcbMaringMNiKKEgraveJUOYX[PhZOslash[]Y H hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhdQRK H [PhY^S5OH MN H bLNPYJSeNPbLbn[Ph^QsO[ H [ H MeJaeligQcOeJBjNPfcQ H m[SXvNPjbdMOgravemV G bdMOgraveWNih H currenSe H MeJXiacuteNPY H JUY H^eJUbnhJUNPYJa[SXocirc|aagravejOslashQcY [Pcent H NPQcOeJU^ XhZ[]Zecirca jOslashcentm bMe[B[]YZQcOF[beuml aacute ccedilyeacute WMQsbMfRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[aeligJUP[]fcj H Qc[]O JjN H QR[]OOaringaelig Yacuteaagravejaelig agrave aacuteFuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yuml uuml thorn otilde)yuml eacute aacuteccedilaumlordfegrave ETHeacute thorn timesOslash yumlauml aelig thorn timesOslash yumlauml acircccedilaumlordfegrave ETHeacute thorn UgraveUcircUacuteUuml yumlauml aelig thorn UgraveUcircUacuteUuml yumlauml lteacute a macr]jUcircX H MJ^eJUYZbnhQRK H [PhY$^e[TOe[ H ^eJLKEgraveJUO^times[]OregagravetaiacutehZJ[]QR[]OeV4QcO^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhYjeH MeJgiexcl hZJU^jbnJUY H [ H MeJordfXiacute[]fcfR[WQcO[aeligJkWKhZJUYZYQR[]OOaringaelig Yacuteaagravejaelig agrave aacuteigraveuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yumldn reguuml thorn otilde)yuml7 eacutelteacute a ]j

uumlnyacutenthornnyumll13YSordmY_FY

f $amp)(+-)013021+345627893lt=gt9A6CB JaeligbLNPO`O[ H QcbnJ H MN HH MeJtimes^eJLKEgraveJUO^eJUObnJauml[SX H MJIacute^eJUYZbnhdQRK H [PhY[]OwagraveeEgraveNPO^aY[ []OH MeJiexclbLjehYUPJJUP[]fcj H QR[]OOeQcO^jbnJUY0NP^^Q H QR[]ONPf H JLhlZaringYFQcO H MeJiexclJUP[]fcj H QR[]O JjN H QR[]O[SX H MJFNPb H QVUPJ(bn[]O H []jeh^SMeJNP^^Q H QR[]ONPf H JLhZaringYQX[]jO^IacuteQcOoa macr]jbLNPOOe[ H hZJUNP^QsfVmcentEgraveJtimes[Pcent H NPQcOeJU^ WMJUO H MeJOslash^mBONSZaringQcbLNPfampYZbMJZOslashJaringQcYOtildeQcO H hZ[W^jbnJU^eumlNX H JLh H MeJOslashbn[]ZaeligVKj H N H QR[]Oa[SX H MeJaelig^eJLhQVUiN H QVUPJaeligjYZQcO[o0jfcJLhVA9N[PhNPOF[PJIacuteJBjN H QR[]OY^MjYe-Q H QcY[SX=KhQZaringJOeJUbnJUYZYZQ H m H [TQcO H hZ[B^jbnJ H MeJ^mWONSZaringQsbLNPfeYZbMeJZaringJiexclQcO H [ H MeJbnhQ H JLhQR[]OQ H YZJUfVXiexclQcO[Phd^eJLh H [JUNPYZQsfVmsup1[PJ H H MeJUYJaNP^^Q H QR[]ONPf H JLhlZ Y QcO bLNPYJa[SXhJ[]QR[]OWV^eJLKEgraveJUO^JUO H ^JUYZbnhQRK H [PhdY^MNPO`BY H [ H MeJUYJeumlNP^^Q H QR[]ONPf H JLhlZaringYeWFJ`JUOYZjehZJH MeJordfXqNPY H JUY H JUP[]fcj H QR[]O [SX H MeJIacutebLjehYUPJ H [WNih^YiexclNZaringQcOQZIacutejZ [SX H MeJTbnhdQ H JLhQR[]OO^ JeumlbLNPO NPfcY[hZJZaringNihY` H MN H H MeJUPJUfR[BbLQ H m[SX H MeJ bn[]O H []jhQsOa macr]j bLNPOcentEgraveJ K=[]YQ H QVUPJ[PharingOeJ[]N H QVUPJS^|MQcYaeligNPO QcO H JLhZJUY H QcO[eumlKh[PK=JLh H mOacute[SXiexclhZJ[]QR[]OWVcent-NPYJU^NPb H QVUPJ bn[]O H []jehY^ q O H MeJ bn[]O H hNihYm H [ centEgrave[]jO^NihYmVcentNPYJU^7NPb H QVUPJ bn[]O H []jehdYehZJ[]Qc[]OWVcentNPYJU^7NPb H QVUPJbn[]O H []jehYOslashNPfcfR[WYZ[]ZOslashJKNih H Ytimes[SX H MeJ bLjehYUPJ H [YZMehQsO`WMQcfRJ[ H MeJLhY(JkWKNPO^O^FMjY H MeJaumlQcOQ H QsNPfcQVcurrenUN H QR[]O QcYfRJUYYbn[]OY H hNPQsOeJU^O^^ macr^iexclEacuteltIacuteETHNtildeFETHEacuteshyOacute Eacute10wETH9IgraveumlIgravesup1+shyEacuteltEumlETHETH3EacuteshyOacuterIgrave5euml1ONtildeFETH32EacuteltOacute0EacuteltEgravexIcircEacuteshyIacute5IgraveIgrave2shyNtildeshyIacuteEumlOgraveIgraveIcirclaquoEacute10C8ltIgraveIcircd=KEgrave(ETHEacuteltEgraveIcircMJu[P[]NPf[SX H MQsY$KNih H QsY H [timesbn[]ZaringKj H J H MeJiexclJUP[]fcj H QR[]O JjN H QR[]Oaring[SX H MeJNPb H QVUPJbn[]O H []jehOcircXiacute[Ph0Y[]ZOslashJ(JkeNSZOslashKfcJUY$[SX-hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhY^SgJ H jY H N`PJY[]ZaringJT^eJUYZbnhQcK H [PhY(^eJLKEgraveJUO^QsO[aelig[]O H MeJyZOslashJUNPOBSOtimesOslash [Phiexcl[]O H MeJgUiNihQcNPObnJjuFtimesOslash [SXH MeJOtildeJUP[]fUBQcOF[OslashhZJ[]QR[]OwOumlcopytimesOslashaagravejaringEFFG FFH SOtimesOslashKaagravejumlaacute iacute $ w$ thorn yuml Otilde atilde auml WiexclQ H M icirctimesOslashaacute w$ thorn yuml atilde aumlu centtimes Oslash aagravejsup1aacute iacute $ w$ thorn yuml aOtilde SOtimes OslashKaagravejj cent atilde auml^ macr^f^iumlordfcentltshyltAringordfregethIumlIgravecurrenRAringcentmicroETHfrac34IumlltlaquomicroRreglaquoNOacute]currenRlaquosectsup1jCcedilR RAringordfregL Rlaquo3shy JTbdMe[B[]YJ H MeJgXiacute[]fcfR[WQcO[OslashYJ H [SX^eJUYbnhQRK H [PhYaring

uuml thorn UgraveUcircUacuteUuml yuml ^e[BJUYOe[ H ^eJLKEgraveJUO^[]Owagraveuuml thorn timesOslash yuml aacutecntildeaLuOcenttimes Oslash j a zSjWMJLhZJampntildeaOgravejQsYNOslashKEgrave[]YZQ H QVUPJiexclXqjOb H QR[]O[SX$bLfcNPYYograve aj^MQcYiexclUPJUfR[WbLQ H mumlUPJUb H [PhOslashQcYaumlbn[]ZaringKj H JU^centmeumlhZJLKfcNPbLQsO[ H MeJ H JLhZaringYauml[SXga jgWQ H MH MeJUQch$JkBKhJUYZYZQR[]OY^ J hY H JkWKhZJUYZY H MeJ^eJUYZbnhQcK H [Ph|uuml thorn timesOslash yuml NPYyNTbn[]ZTcentQsON H QR[]O[SXamp^e[]ZaringNPQcOY(QcO H J[PhdNPfcYaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacutemiddot thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn timesOslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejjaacutecntildeoacute agrave thorn timesOslash yuml aagravejagrave thorn timesOslash yumlcent aagravejfocirc a i]j

uumlnyacutenthornnyumll13YSordmY_FPa

yenKbrvbarsect =4 acirc $ fzWMJLhZJSaring EFFG FFH agrave thorn timesOslash yuml aagravejpoundaacute w$ thorn yuml aOtildegta2atildeltszligaumlj SOtimes OslashaagravejjUcirccent atilde aumlagrave thorn timesOslash yumlcent aagravejpoundaacute w$ thorn yuml atilde auml a h]j O^ H MBjYaring aelig thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacuteacircaOtildeKa2atildeshyszligaumlFj S timesOslash aagravejjUcirccentaelig thorn timesOslash yumlcent a2atildeshyszligaumlKszligYagravej|aacute f ad s j Y5XiacuteNihaumlNPY H MeJOslash^e[]Z NPQcO`QsO H J[PhNPfsYUacute[SX H MeJOslash^eJLhQVUiN H QVUPJaelig[SX H MJXqjOb H QR[]OY aelig thorn timesOslash yumlaumlNihZJaumlbn[]ObnJLhOeJU^OeFWFJauml[Pcent H NPQsOOaringEFFFG FFFH w5$ thorn yuml frac14ltotildeouml $_divideoslashfrac14 atilde aumlordmaacute frac14ltugrave $frac14 w$ thorn yuml aOtildeKa2atildeshyszligaumlFj SOtimesOslashKaagravejj atilde aumlaacute sw5$ thorn yuml frac14ltotilde ouml $_divideacircfrac14 atilde aumlordmaacute s adfjMJ H JLhZaringY eacute thorn timesOslash yumlauml NPfcY[aringMNUPJ H [ cent=Jaumlbn[]ZaringKj H JU^OeNPO^tWNtildeJg[PJ H aringEFFFG FFFH eacute thorn

timesOslash yuml aacute w$ thorn yuml uacute ouml $_divideacircntilde raquo7ucirc uacute ouml $_divideoslashuacute ouml $_divideacircyacuteuuml atilde aumlaacutecntilde raquo aLu centtimesOslash jeacute thorn timesOslash yumlcent aacute w$ thorn yumlBthorn uacute ouml $_divideoslashthorn uacute ouml $_divideacirc yuml acirc ntilde raquo ucirc uacute ouml $_divideoslashuacute ouml $_divideacirc uuml atilde aumlregaacute u centtimes Oslash ntilde raquo aLu centtimes Oslash j

G QsObnJ H MeJOslash^e[]Z NPQcO`QsO H J[PhNPfsYiexcl[SX frac14ltotildeouml $ordfdivideoslashfrac14 NPO^ frac14ltotildeouml $_divideacircfrac14 NihZJaeligJBjNPf H [currenLJLhZ[poundadfjeWFJOtildebLNPO ^QRhZJUb H fVm bn[]ZOslashKj H J H MeJiexclUPJUfR[WbLQ H mregUPJUb H [Ph[SX H MeJOtildeNPb H QVUPJTbn[]O H []jehuXiacutehZ[]Za macr]jNPO^WNtildeJyO^Oaringaelig Yacuteaagravejaelig agrave aacuteuumlgtthorn timesOslash yuml uumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn otilde)yuml dacute uumlgtthorn otilde)yuml eacutentilde raquo aLu centtimes Oslash jaaOtilde SOtimesOslashj cent u centtimesOslash jcedilQeacute ad j5Otad jeOgraveWFJbLNPOaringhJZaringNihY` H MeJ(KhZJUYJUObnJ[SX H MJNP^^Q H QR[]ONPf H JLhlZntilde raquo aLuOcenttimesOslash jaaOtilde SOtimesOslashj cent u centtimesOslash jeacuteacirc^^ macr^ ^iumlordfcentltshyltAringordfregethIumlIgravecurrenRAringcentmicroETHfrac34IumlltlaquomicroRreglaquoNOacute]currenRlaquosectsup1jpoundn Rlaquo JTbdMe[B[]YJ H MeJgXiacute[]fcfR[WQcO[OslashYJ H [SX^eJUYbnhQRK H [PhYaring uuml thorn UgraveUcircUacuteUuml yuml ^e[BJUYOe[ H ^eJLKEgraveJUO^[]Owagraveuuml thorn timesOslash yuml aacutecntildeaOtilde S timesOslash aagravejj adS]j

uumlnyacutenthornnyumll13YSordmY_FPo

fi $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJampntildeaOgravejQsYNOslashKEgrave[]YZQ H QVUPJiexclXqjOb H QR[]O[SX$bLfcNPYYograve aj^ YKhZJUWQR[]jYZfVmSe H MeJlaquoUPJUfR[WbLQ H mfrac34UPJUb H [PhTQcYbn[]ZOslashKj H JU^eumlcentmhZJLKfsNPbLQcO[ H MJ H JLhZaringY[SXua jcopyWQ H M H MeJUQRh(JkWKhZJUYZYZQc[]OY^FMeJauml^JUYZbnhQRK H [Ph uuml thorn timesOslash yuml QcY(JkWKhZJUYZYJU^centmKaringuuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacutei thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn times Oslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejjaacutentildeoacuteOtilde agrave thorn timesOslash yuml aagravejagrave thorn timesOslash yumlcent aagravejfocirc adj

WMJLhZJSaring EFFG FFH agrave thorn timesOslash yuml aagravejpoundaacute w5$ thorn yuml Otildegta2atildeltszligaumlj atilde aumlagrave thorn timesOslash yumlcent aagravejpoundaacute w5$ thorn yuml atilde auml adSmacr]j O^ Y[aring aelig thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejOcircaacuteegraveOtildegta2atildeltszligaumljaelig thorn timesOslash yumlcent a2atildeshyszligaumlKszligYagravejOcircaacute f adS]jG QsObnJ H MeJordfXiacutejOb H QR[]OY aelig thorn timesOslash yuml NPO^ aelig thorn timesOslash yumlcent ^e[aringO[ H ^eJLKEgraveJUO^[]OtagraveeFWFJTMNUPJSaringEFFFG FFFH w$ thorn yuml frac14ltotilde5ouml $ordfdivideoslashfrac14 atilde aumlregaacute s

w$ thorn yuml frac14ltotilde5ouml $ordfdivideacircfrac14 atilde aumlregaacute s ad]zSjMJ H JLhZaringY eacute thorn timesOslash yumlauml NihZJ H MJUObn[]ZOslashKj H JU^eNPO^WFJauml[Pcent H NPQcOOaringEFFFG FFFH eacute thorn

timesOslash yuml aacute w$ thorn yuml thorn uacute ouml $ordfdivideacircntilde raquo7ucirc Otilde uacute ouml $ordfdivideoslashuacute ouml $ordfdivideacircyacuteuuml atilde aumlaacute thorn iacute $ w$ thorn yuml ntilde raquo aOtilde SOtimesOslashj atilde aumleacute thorn timesOslash yumlcent aacute w$ thorn yuml uacute ouml $ordfdivideoslashthorn uacute ouml $_divideacirc yuml acirc ntilde raquo ucirc Otilde uacute ouml $ordfdivideoslashuacute ouml $ordfdivideacirc uuml atilde aumlordmaacute ugrave $iacute $ w$ thorn yuml ntilde raquo aOtilde SOtimesOslashj atilde auml JUacutebLNPO H MeJUObn[]ZOslashKj H JUacute^QRhZJUb H fm H MJ_UPJUfR[WbLQ H mUPJUb H [Ph[SX H MeJUacuteNPb H QVUPJOtildebn[]O H []jhXiacutehZ[]Zigravea macr]j(NPO^WNtildeJyO^Oaringaelig Yacuteaagravejaelig agrave aacuteuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yumldacute uuml thorn otilde)yuml eacute aOtilde SOtimesOslashjicircFtimesOslash $ thorn yuml ntilderaquo)aOtilde SOtimesOslashjmiddotQeacute adSi]j

5O H MeJtimesKNih H QsbLjfcNihiexclbLNPYZJIacute[SXIcircntildeaOgravejuaacuteOslashScenteKWFJtimesMNUPJnntilde raquo aOgravejcopyaacute NPO^ H MeJLhZJXiacute[PhZJSeH MeJiexclNP^^Q H QR[]ONPf H JLhlZaringYebn[]ZaringQcO[gXiacutehZ[]Z H MeJ UiNihQcN H QR[]O [SX H MeJiexcl^eJUYbnhQRK H [PhYOcircWQ H MagraveeNihJJjNPf H [gcurrenLJLhZ[^[WNtildeJUPJLheWQsOordmZOslash[]Y H bLNPYZJUYe H MQsYyNP^^Q H Qc[]ONPf H JLhlZoslashQsYyOe[ H

uumlnyacutenthornnyumll13YSordmY_FPy

yenKbrvbarsect =4 acirc $ fhcurrenLJLhZ[^ not [PhaeligJkeNSZOslashKfRJSeampQVXUgraventildea]jaacute yuml Wiexcl cent eshyWiexclQ H MN`KEgrave[]YZQ H QVUPJ bn[]OY H NPO H eQWFJMNUPJSaring

ccedil aacuteFuumlgtthorn timesOslash yuml uumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn otilde)yuml uumlgtthorn otilde)yuml eacute aOtilde SOtimesOslashjicircFtimesOslash $ thorn yuml aOtilde SOtimesOslashj IcircAumlaOtilde SOtimesOslashj cent adSh]j^ ^~IacuteFEumlIgraveFIacute5IgraveFOacuteETHNtildeFETHEacuteshyOacuteAgraven13ETH9 ETH9IgraveumlEumlIgravesup1+ltIgraveFEumltIcircIgraveFETHbIacute5IgraveFETH9shyEacute18 YXqNih0NPY H MeJOBjFZOslashJLhdQcbLNPfeQZOslashKfcJZOslashJUO H N H Qc[]OtimesQsYybn[]ObnJLhOeJU^eSWNtildeJbLNPOZOslash[W^eJUf H MeJNPb H QVUPJaumlbn[]O H []jeh_WQ H MNPOJkBK-fcQcbLQ H KNihNSZOslashJ H JLhdQVcurrenUN H QR[]ObaN[PhNPO[]QcNPOXiacute[PhlZtimesjfcN~VH QR[]OKjaelig[Ph NPO QCZOslashKfcQcbLQ H []OeJraNtildejfRJLhQsNPO Xiacute[PhlZIacutejfcN H QR[]Ogtj^ G JLJra G J H MQcNPOOe5fhSh s jNPO^egraveaJUfcQcO[PJ HH J NPO^ _a[]O H N[]ON H e sSs fjX[PhaeligNPOQcO H JLhZJUY H QcO[eumlbn[]ZOslashKNihdQcY[]OcentEgraveJ H WFJLJUO H MeJ H WNtilde[ZOslashJ H M[B^Y^ iexclO[ H MeJLhOtildeQcO H JLhJUY H QcO[aringhJUBQRJW[]O H MeJtimes^Q=JLhJUO HZOslashJ H M[B^Y[SX$NPb H QVUPJIacutebn[]O H []jehQcY(Kh[PK=[]YZJU^ QcOpoundaw_[]O H N[]ON H J H NPfd^Ve sSs fj^iexclJLhZJSeWFJaumljYJ H MeJaumlfRJUPJUfYZJ H ZOslashJ H Me[W^ NiKKhZ[]NPbdM KhZ[PKEgrave[]YJU^centm q YMeJLhNPO^G J H MQcNPOa q YZMJLh NPO^ G J H MQcNPOe fhSiSi]j centj H hJ[]QR[]OWVcentNPYJU^ NPb H QVUPJeumlbn[]O H []jehdYZaringNmNPfcYZ[ centEgraveJQZOslashKfcJZOslashJUO H JU^7centmjYQcO[`XNtildeV4YK-fcQcOeJUYXiacute[PhaeligNPOJkWKfcQsbLQ H K-NihNSZOslashJnVH JLhQcurrenUN H QR[]O ayhZJUbLQc[]Y[ NPO^XNihfcNPj^Oe sSs fj^shyMJ`PJmeumlQc^eJUN [SX H MeJOslashfRJUPJUfampYJ HZOslashJ H M[B^QsY H [ QcO H hZ[W^jbnJaumlNPO`NPjkWQsfcQcNihYmXiacutejOb H QR[]O l a2atildeltszligaumlgtszligYagravejYZjbdM H MN H YacuteaagravejQcY H MJtcurrenLJLhZ[OacutefRJUPJUfYJ H [SX l ^OcircMJXiacutejOb H QR[]O l QsYaelig[SX H JUO bMe[]YJUO H [centEgraveJ H MeJYZQ[]OeJU^ ^QcY H NPObnJordfXiacutejOb H QR[]O[SXQYacuteaagraveje-NPO^ QsY H MeJUObdMNihNPb H JLhQVcurrenLJU^acentmKaring

YacuteaagravejOcircaacute a2atildeltszligaumljPO l a2atildeshyszligaumlKszligYagravejaacute s a2 s jMQcYOcirc0jfRJLhQcNPOordmXiacute[PhlZtimesjfcN H QR[]O KhZJUYZJUO H YFYJUPJLhNPfEgraveNP^UiNPO H N[PJUYga G J H MQcNPOOeKfhShS]j^not QRhY H fVmSe H MeJabLjehYUPJ l ZaringNmcenthJUN`[PhoZOslashJLhY[PJNPY H MJXiacutejOb H QR[]O l JUP[]fUPJUYeNPO^ H [PK=[]fc[S[]QcbLNPfbdMNPO[PJUYFNihZJ H MBjY$JUNPYZQsfVmOslashMNPO^fRJU^^ G JUbn[]O^fVmSe H MJJUP[]fVUWQcO[XqjOb H QR[]O l a2atildeshyszligaumlKszligYagravejNPfVWNmWY(hZJZaringNPQcOY(NlaquoXiacutejOb H QR[]O NPfcfR[WQcO[timesJltz bLQRJUO H OBjFZOslashJLhVQcbLNPfFYZbdMeJZOslashJUY^OcircMQRh^fVmSe H MeJ[PJL[]ZOslashJ H hQcb KhZ[PKEgraveJLh H QcJUYT[SX H MeJ bLjehYUPJSe$fcQV`PJ H MeJbLjehlU~N H jehJ NPO^ H MeJOslashOe[PhlZ NPfshyUPJUb H [PhordfJUfs^eacute e=bLNPO centEgraveJIacuteJUY H QZaringN H JU^euml^QRhZJUb H fmXiacutehZ[]Z H MeJTfcJUPJUfgYJ H XqjOb H QR[]Oaring aacute V ucirc l l uuml NPO^ eacuteecircaacute l l a2FfjMJJUP[]fsj H QR[]O JBjN H QR[]O H MeJUO centEgraveJUbn[]ZOslashJUYaringaelig l aagravejaelig agrave aacuteegraveccedilacute l a2 jMJregUPJUfR[WbLQ H msup1XiacutejOb H QR[]OxccedilEQcYIacutebn[]ZaringKj H JU^7[]OfVm[]O H MeJbLjehYUPJYacuteaagravejaumlcent-j H WFJbLNPO Jk H JUO^ Q H YFJkBKhZJUYZYZQR[]O H [ H MeJiexclWMe[]fRJUacuteQZaringN[PJOtilde^e[]Z NPQcOoOumlordf^[OslashQZOslashKfRJZaringJUO HH MeJIacutefRJUPJUf9YJ H ZOslashJ H Me[W^OeY[]fsj H QR[]OYuZtimesjY H centEgraveJgXiacute[]jO^ H [ bLQRhbLjZyUPJUO H Kh[PcentfRJZaringY

uumlnyacutenthornnyumll13YSordmY_FP

s $amp)(+-)013021+345627893lt=gt9A6CBbn[]ZaringQsO[ Xh[]Z H MeJpoundXqNPb HH MN H`H MeJYZQV[]OeJU^ ^QcY H NPObnJumlXqjOb H Qc[]O l QcYaOe[ H NY[]fsj H QR[]O[SX H MeJyiexcl a2 jeEgraveYJLJa []ZOslashJUYNPO^ not NPjF[PJLhNPYe sSsSs jyacuteXiacute[Phiexcl^J H NPQcfcY^5Oaelig[]jehWF[PhY`gte H MJuXiacutejOb H QR[]O l QcYamphZJUQsOQ H QcNPfcQcurrenLJU^TY[ H MN H Q H hZJZaringNPQcOYampNOtilde^QsY H NPObnJXqjOb H QR[]OenYZJLJ5aq jecentEgraveJLh H NPO^gcOtilde[PhdOeKhZ[PcentY H e sSs fJLcenthZJUjFUPJSe sSsSs jOXiacute[Ph^J H NPQcfcY[]O H MJOtildehZJUQcOQ H QsNPfcQVcurrenUN H QR[]O JBjN H QR[]OO^5Oeuml[Ph^eJLh H [QCZOslashKhZ[UPJaringOjFZaringJLhQcbLNPfJltz bLQRJUObmSeOWFJaringbn[]ZOslashKj H J H MeJOslashJjN H QR[]O[]O NIacuteONihhZ[Wcent-NPO^aringJUObLfc[]YZQcO[ H MJiexclfRJUPJUf s [SX H MeJUacutefRJUPJUf-YJ H XqjOb H Qc[]OO^ JUacuteNPfcY[jYZJZtimesjf H QRhZJUYZ[]fcj H QR[]O H JUbdMOQBjeJUYcentmZaringN`BQsO[ H MeJFNPb H QVUPJ(bn[]O H []jh$JUP[]fVUPJcopyhY H[]ONOslashfc[W hZJUYZ[]fcj H QR[]O QZ N[PJS^FMeJordfONPfbn[]O H []jeh[Pcent H NPQcOeJU^Xiacute[Ph H MQcYhJU^jbnJU^QZ N[PJaumlQcY H MeJUOjYJU^ NPYNPOQsOQ H QcNPfEgravebLjehYUPJordfXiacute[Ph H MJOtildehZJUNPfgYZQVcurrenLJaumlQCZaringN[PJS^

EparaacuteAgravegtmicrosup1acuteIKJcedilJT2MgtI MraquowMgtmicrosup1MAgravegtacuteIltacuteMgtPltAtilde iquest acuteAgravegtT2MKIshyAtildeAcirccedilAtildeacuteNicircMgtI cedilAEligMgtmicroOcircacuteOgraveJTCJT13MKI sup2OcircacuteJordfsacuteacuteI Jfrac14ltacutegcedilFLT2cedilIshyROgraveacuteAtilderaquoAMLBqoLacute13AtildeR]cedilsup32acute GmicrobcedilAgraveacuteAtilde5O H MQcYUacuteYJUb H QR[]OOeOWFJOslashKhZ[PKEgrave[]YJaeligY[]ZOslashJOslashhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhY H [YJ[iVZOslashJUO H M[]ZOslash[S[PJUOeJL[]jYiexclhZJ[]QR[]OYiexcl[]Ofrac34[PhZJmBYbLNPfRJIacuteQZ N[PJUY^gtMJUYJIacute^eJUYbnhQRK H [PhYiexclNihZJcentNPYZJU^[]O H MJZaringQcOQZaringQVcurrenUN H QR[]O [SX H MeJU~NihdQcNPObnJUYauml[SX H MJ H WF[`bn[]OYZQc^eJLhZJU^OacutehZJnV[]QR[]OY^ 5O H MJ7YJUbn[]O^ K-Nih H e H MJQZOslashKEgrave[Ph H NPObnJOacute[SX H MeJNP^^Q H QR[]ONPf H JLhZaringYebn[]ZaringQsO[XiacutehZ[]Z H MeJiexclU~NihdQcN H QR[]O [SX H MeJUacute^eJUYZbnhQcK H [PhYWQ H M H MeJiexclJUP[]fUBQcOF[IacutehZJ[]Qc[]OYeQcY9MQV[]MfcQ[]M H JU^O^ G QCZOslashKfRJJkWNSZaringKfRJUY9YMe[W H MeJ0QZOslashKEgrave[Ph H NPObnJ$[SX H MeJUYJ0NP^^Q H QR[]ONPfH JLhlZ Y H [ NPbMQRJUPJ H MeJOtildeJkWKEgraveJUb H JU^aYJ[]ZaringJUO H N H QR[]O^^f^laquoIgraveIcirc=KEgrave(FETHOEacuteltEgraveIcircEcircgtNtildeltIcircIgrave8 EacuteshyOacute ETH9Igravek+NtildeshyEgrave13NtildeshyOacute=KIgraveC0EacuteshyEgraveh4ltEgraveOIgravesup1QIcirc=NtildeltEumlOgraveIgrave2Iacute Ntilde4ltIgraveIcircMJQcO H JUOYZQ H mregXiacute[Phu[PhZJmWYZbLNPfRJaumlQZ N[PJUY(QcYhZJLKhZJUYZJUO H JU^centm NlaquoXqjOb H QR[]OOtilderegaringOgraveOumlOtilde 13ordfcentwntilde Otilde 13laquo^ JaKhZ[PKEgrave[]YJ H [bZaringQcOQZaringQVcurrenLJ H MeJU~NihdQcNPObnJUYOslash[SX H MeJ H WF[bn[]OYZQc^WVJLhZJU^ Me[]Zaring[S[PJUOeJL[]jY hZJ[]Qc[]OY QcO [Ph^eJLh H [YJ[]ZOslashJUO H H MeJZ^uMJXiacute[]fcfR[WQcO[^eJUYbnhQRK H [PhY(NihJaumlYZj[S[PJUY H JU^OaringEFG FH uuml thorn UgraveUacuteUuml yuml aacutecntildeaLuOcentUgraveUacuteUuml juuml thorn times Oslash yuml aacutecntildeaLuOcenttimes Oslash juuml thorn otilde)yuml aacutecb a2Ograve]jWMJLhZJjntildea]jQcYNOslashKEgrave[]YZQ H QVUPJordfXiacutejOb H QR[]O [SX$bLfcNPYZYEacuteograve aOtilde 13yj(NPO^kb`NOslashKEgrave[]YZQ H QUPJaumlbn[]OWVY H NPO H ^MJTbn[]ZOslashKj H N H Qc[]O[SX H MeJUPJUfR[BbLQ H mUPJUb H [PhaumlQcY^JU^jbnJU^tXiacutehZ[]Z H MeJIacutebn[]ZOslashK-j H N~VH QR[]O`[SX H MeJaelig^eJLhQVUiN H QVUPJIacute[SX H MeJtimesbnhdQ H JLhQR[]Opoundocirc7^eJUPJUfR[PKEgraveJU^ QcO G JUb^^ macr^feWMQsbMfRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[aeligJUP[]fcj H Qc[]O JjN H QR[]OOaringaelig Yacuteaagravejaelig agrave aacuteethntildeaLu centtimesOslash j ntildeaLu centUgraveUcircUacuteUuml jb ntilderaquo)aLu centtimesOslash jaaOtilde S timesOslash j cent u centtimesOslash j ntilde raquo aLu centUgraveUcircUacuteUuml jaaOtilde SUgraveUcircUacuteUumlj cent u centUgraveUacuteUuml jIcirc13eacute a2Sj

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ fMJiexclYZQcOF[]fRJiexclK-NihNSZOslashJ H JLhcopyWNtildeJOtildeOeJLJU^ H [aringNP^~ZjY H QcY H MeJUacuteYYZOslash[B[ H MQcO[timesKNihNSZOslashJ H JLhb^5OregXqNPb H e H MeJ X [W ethb MNPY H MeJiexclKhZ[PKEgraveJLh H QRJUYNtilde[SXYYZOslash[B[ H MQcOF[IacutecentEgraveJUbLNPjYJOtildeQ H ZOslash[UPJUYH MeJUacutebLjehYUPJUacuteQcO H MeJUacute^QRhZJUb H QR[]O [SX9Q H YfRJUOF[ H MregXqjOb H QR[]ONPfQa G Qs^^QBQeJ H NPfd^VeOfhShS]j^^ ^~IacuteEacuteltEgraveETHOgraveNtildeltOacute=KIgravefrac34Eacute10frac34ETH9Igrave Ntilde8182ETHEacuteshyOacuteNtildeshyEumlETHIgraveFEgraveOIacute5Icirc5O[Ph^JLh H [7JU~NPfcjN H J H MeJ QZOslashKEgrave[Ph H NPObnJ`[SX H MeJ`NP^^Q H QR[]ONPf H JLhlZaringYX[Ph H MeJYJ[]ZaringJUO H N H QR[]OeuWNtildeJpoundZaringN`PJ H MJeumlNPb H QUPJbn[]O H []jehaJUP[]fVUPJ H MehZ[]j[]M H MJ iexcla2SjeQsObLfcj^QsO[ H MeJaumlNP^^Q H QR[]ONPf H JLhlZaringY^ q O H MeJUacute[ H MeJLhMNPO^OeWNtildeJaumlNPfcYZ[ZaringN`PJQ H JUP[]fUPJfrac34WQ H M H MeJwXiacute[]fcfR[WQcO[ WhZ[]OF[JUP[]fcj H QR[]OJjN H Qc[]O H MN H ^e[JUY Oe[ HQcObLfcj^eJ H MeJaumlNP^^Q H QR[]ONPf H JLhlZaringYaringaelig Yacuteaagravejaelig agrave aacuteethntildeaLu centtimesOslash j ntildeaLu centUgraveUcircUacuteUuml j`b Qeacute iuml a2Ogravemacr]jnot [Ph H MeJOtildeJkWKEgraveJLhQZOslashJUO H YeWFJ H N`PJntildeaOgravejOcircaacute ILK KafcediliexclOgravejWMQsbM[]QVUPJUYntilde raquo aOgravejaacutefdOafcedil]j(NPO^ H MeJgUiNPfcjeJOtilde[SX H MeJaumlKNihdNSZOslashJ H JLhEacutebaQcY(YJ HH [frac34f s ^OcirckBKEgraveJLhQCZOslashJUO H Y NihZJ KEgraveJLhYX[PhZOslashJU^ []O NYmWO H MJ H Qcb`QCZaringN[PJumlZaringNP^eJeumljeK [SXTNPO

Me[]Zaring[S[PJUOeJL[]jYYYBjNihZJ[SX9QcO H JUOYZQ H mwf s []O NIacutecentNPbl`[PhZ[]jO^ [SX9QcO H JUOYZQ H mtf s ^ []NPjYZYZQsNPOOe[]QcYJUacute[SXUiNihQcNPObnJ s QcY(NP^^eJU^ H [ H MQcY(YmWO H MJ H QcbOtildeQZaringN[PJS^MeJOtildeJUP[]fcj H QR[]Oa[SX H MeJTNPb H QVUPJtimesbn[]O H []jehUacute^ehQUPJUOcentmpounda2SjQcYu[]QVUPJUO`QcO not QV[^ WMQcfRJ H MeJ[]OeJ`[Pcent H NPQcOeJU^ jYZQcO[ a2Ogravemacr]j QcYordm[]QUPJUO QcO not QV[^ ^ J bLNPO hZJZaringNihY`H MN H WMeJUO H MeJoiexclQsObLfcj^eJUY H MJ NP^^Q H QR[]ONPf H JLhZaringYe H MJ YYBjNihZJ QcYgWFJUfcfYJ[]ZaringJUO H JU^acirca not QV[^ ^bjeuWMeJLhJUNPYWiexclMeJUO H MeJ |iexclD^e[BJUY Oe[ H QsObLfcj^eJ H MeJUYJNP^^Q H QR[]ONPf H JLhZaringYwWFJ7[Pcent H NPQcO N bLQRhbLfcJOacuteQcOY H JUNP^ [SX H MeJ7JkBKEgraveJUb H JU^YYBjNihZJa not QV[^ ^bj^MeJUYJhZJUYZjf H YNtildebLNPOcentEgraveJcentEgraveJ HH JLh(jO^eJLhY H [[W^WMQcfRJNPONPfmcurrenUQcOF[ H MeJiexclUPJUfR[WbLQ H mUPJUb H [PhYUacute[SXNtildeJUNPbMJUP[]fsj H QR[]O JjN H QR[]OO^ Jaringbn[]ZOslashKNihZJ H MeJ H WF[ JUP[]fcj H QR[]OYiexcl[SXH MeJlaquoUPJUfR[WbLQ H mwUPJUb H [PhYauml^jehQcO[ H MeJaeligKhZ[PKN[]N H Qc[]Oeuml[SX H MeJOslashbLjehYUPJwa2WiexclQ H Me[]j HH MeJcentEgrave[]jO^NihYmVcent-NPYJU^ H JLhlZb j^MeJ(JUP[]fcj H Qc[]OOslash[SX H MeJNSZOslashKfsQ H j^eJ[SX H MeJyacuteUPJUfR[Wb|VQ H mregUPJUb H [Ph[SXQ|iexcla2SjFQsY[]QUPJUO QcO not Q[aqYj^ ^ ^OecurrenJSe Xfrac34]eWMQsfRJ H MeJOtildeNSZOslashK-fcQ H j^eJ[SX H MeJUPJUfR[WbLQ H mwUPJUb H [PhOtilde[SX||iexclacirca2Ogravemacr]jiexclQcY []QUPJUO`QcO not QV[aqYj^ ^ ^OecurrenJSe Xfrac34]^ JOslashbLNPO[PcentYZJLhYUPJ H MN HaringH MeJUPJUfc[BbLQ H msup1WiexclQ H Me[]j HaeligH MeJNP^^Q H QR[]ONPf H JLhlZaringY QcYaeligNbn[]OY H NPO HWMJLhZJ [PcentUWQR[]jYfVm H MJaQZaringN[PJfrac34XJUN H jehJUY ^e[OacuteO[ H NiKKEgraveJUNih^ q O H MeJabn[]O H hNihYmH MeJaumlQCZaringN[PJordfXJUN H jhZJUYuWFJUfcfNiKKEgraveJUNihQcO H MeJordfUPJUfR[WbLQ H m QcObLfcj^QcOF[ H MeJaumlNP^^Q H QR[]ONPfH JLhlZ Yya not QV[aqYj^ ^ ^OecurrenJSe Xfrac34jiexclNPO^ Y[ H MeJaumlYljNihJTbLNPO centEgraveJordfWNtildeJUfsfYJ[]ZOslashJUO H JU^O^MeJyKhZJUWQR[]jYEgravehJUYZjf H YgYMe[W H MN H Q H QcY[SXeKhQCZOslashJ$OeJUbnJUYZYZQ H m H [ H N`PJQcO H [NPb|Vbn[]jO H0H MJNP^^Q H QR[]ONPf H JLhZaringYeWbn[]ZaringQcO[XhZ[]Z hZJ[]QR[]OeV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhYeQcO[Phd^eJLh H [ hZJUNPbdMaN H hdjeJgZaringQcOQCZIacutejFZ [SX H MeJaumlbnhQ H JLhdQR[]OO^

uumlnyacutenthornnyumll13YSordmY_F

S $amp)(+-)013021+345627893lt=gt9A6CBEIumlparaacuteAgravegtmicrosup1acuteIKJcedilJT2MgtI MraquoordfAEligMgtsup32MLwMKmicrobMgtAgraveacuteIshyacuteMgtPltAtilde iquest acuteAgraveKT13MKIshyAtildeAcirclaquocedilFAtildeacuteNicircMKIJfrac14ltacutepoundAEligMAringcedilFLT2cedilIltR]acuteHcedilJLTOcircfrac12sup3T13ROgravecedilJT2MgtI JMAgraverltcedilFR]acuteacuteJacuteR]JT2MgtIicircT2ItT2NQacuteM paraacutePshyacuteIltR]acuteAtildeMQcY0K-Nih H ^eJUNPfcYWQ H M H MeJOtildeYJ[]ZOslashJUO H N H QR[]O [SXMe[]ZOslash[S[PJUOeJL[]jY(hZJ[]QR[]OYQcOZtimesjfuVH QcYZK=JUb H hdNPfQZaringN[PJUY^ YNPOaJkWNSZaringKfRJSeWFJIacuteYZMe[W H MN HiexclH MeJTbn[UiNihQcNPObnJZaringN H hQVkbLNPOacent=JIacuteNUPJLhYm KEgrave[WFJLhYXqjf H [B[]f H [ YJ[]ZOslashJUO H Me[]Zaring[S[PJUOeJL[]jYbn[]fR[PhiexclhJ[]QR[]OY^F5OXqNPb H e H MeJtimes^eJ H JLhlZaringQsONPO H [SX H MeJTbn[U~NihQsNPObnJZ N H hQkKhZ[UPJUY H [ centEgraveJIacuteNaringhJUfRJU~NPO Hbn[]fR[PhaelighZJ[]Qc[]O7M[]ZOslash[S[PJUOeJUQ H msup1ZOslashJUNPYZjhZJZOslashJUO H a G NPO[SWQcOeJ NPO^r[PhdOeJSeufhShSi]j^_`QcOQZ QVcurrenUQcO[ H MQcYjNPO H Q H m ZOslashJUNPOY H MN H WFJwWNPO HH [^eJUbnhZJUNPYJ H MeJeumlbn[]ZaeligVKfcJkWQ H m[SXUacuteNeumlhZJ[]QR[]Oa hdNmJ H NPfd^Ve sSs fampN H JUjke sSsSs j^MQcY H [B[]fuZaringNmKhdNPb H QcbLNPfcfVm cent=JaumljYJU^X[Ph XiacuteNPbnJtimes^eJ H JUb H QR[]OaQsO QZaringN[PJaumlYJBjeJUObnJUY^macr^f^laquoIgraveIcirc=KEgrave(FETHOEacuteltEgraveIcircEcircgtNtildeltIcircIgrave8 EacuteshyOacute ETH9IgraveAgrave=Eacute3+NtildeshyEgrave13NtildeshyOacute=KIgravefrac34Iacute_NtildeFETHEgraveEcirc20EacuteshyEgrave=EacuteshyEumlEacuteshyEgrave2Iacute Ntilde4ltIgraveIcircMJQcO H JUOYZQ H mxXiacute[Ph bn[]fR[Ph QCZaringN[PJUYaringQcYOslashhJLKhZJUYJUO H JU^centm7NpoundXiacutejOb H QR[]OOtildeegravearingOumlOtilde 13ordfcent ntilde Otilde 13 WMeJLhZJ Otilde aacute Otilde szligYOtildeOgravecentszligYOtilde13ordf ^iexclXm NPONPfR[S[SmAumlWQ H M H MeJOacuteY H j^Fm Xiacute[Ph[PhZJmWYZbLNPfRJFQZaringN[PJUYeWNtildeJZaringQcOQCZaringQVcurrenLJ H MeJNtilde^J H JLhlZaringQcONPO H [SX H MeJFbn[UiNihQcNPObnJcopyZaringN H hQVk[SX H MeJTbn[]OYQc^eJLhZJU^hZJ[]Qc[]OY^ J5ZaringNmaringNPYYZjFZOslashJ H MN H JUNPbdM bn[]fR[PhFhZJ[]QR[]Oacute13 QsYOcircZOslash[W^eJUfcfRJU^OslashcentmOslashNg[]NPjYYZQcNPO^QsY H hQRcentj H QR[]Oeuml[SXyacuteZOslashJUNPOiexclSegraveaacute S szligPS cent szligPS NPO^7bn[UiNihQcNPObnJZ N H hQk5^MeJKh[PcentNicentQcfcQ H maring^eJUOYQ H moXiacutejOb H QR[]O QcYu[]QUPJUO centm H MeJgXiacute[]fcfR[WQcO[aeligJkWKhZJUYZYQR[]OOaring

$ampamp aOtildejOcircaacute fa )( j +cent aq^J H ayacutejj cent JkWK- f aOtilde Sltj thorn aOtilde Sltj a2Ograve]jG [eZaringQcOQZaringQVcurrenUQcOF[ H MJbn[U~NihdQcNPObnJuZaringN H hQktimes^eJ H JLhlZaringQcONPO H [SX-NPOtimesJUP[]fVUWQcO[hJ[]QR[]ONiKKEgraveJUNihY H [OslashcentEgraveJNtimeshZJUfcJU~NPO HH [[]f H [ordmZaringN`PJ H MQcYFhZJ[]Qc[]O bn[]OUPJLhY[PJ H [WFNih^Y H MeJbLfR[]YZJUY H Me[]ZOslash[S[PJUOeJL[]jYbn[]fR[PhiexclhZJ[]QR[]OO^9J H jY$Oe[ H J timesOslash NPO^0copyUgraveUcircUacuteUuml H MJbn[UiNihQcNPObnJ5ZaringN H hQcbnJUYy[SX=hJUYKEgraveJUb H QVUPJUfVmordmOuml timesOslash aagravejNPO^tOuml UgraveUacuteUuml aagravejaring

atilde aacute213 u Patilde u centatilde u atildeu cent atilde u centcentatilde u cent4atildeu5 atilde u5centatilde u54atilde67 a2zSj

WMJLhZJSaringEFFG FFH u times aumlatilde aacute iacutefaring w aring thorn yuml aOtilde times S times atilde jaOtilde auml S auml atilde j atilde aumlS times atilde aacute iacutefaring w aring thorn yuml Otilde times a2atildeltszligaumlj atilde auml WQ H M aacuteiVIgraveOacute[Ph Kf5

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ J [PcentUWQR[]jYZfm`MNUPJacuteu times aumlatilde aacuteu auml timesatilde ^shy9J H jYaumlO[ H J ^eJ H a atilde j H MJ ^eJ H JLhlZaringQsONPO H [SXH MeJaumlbn[U~NihdQcNPObnJZ N H hQkWiexclMQcbMJkBKhJUYZYZQR[]O QcY H MJgX[]fsfR[WQsO[aring

^eJ H a atilde jumlaacute u Patilde u centcentatilde u 4atilde u centatilde u atilde u cent4atilde u Patilde u cent4atilde u cent4atilde u centcentatilde u atilde u atilde u 4atilde u centatilde u centatilde a2Ogravei]jnot jOb H QR[]OY [SX H MeJeumlbn[UiNihQcNPObnJpoundZaringN H hQk ^eJ H JLhZaringQcONPO H YNihZJ jYJU^ NPY hJ[]QR[]O^eJUYbnhQRK H [PhY^ JIacutebMe[B[]YJ H MJordfX[]fcfc[WQcOF[aeligYZJ H [SX$^eJUYZbnhQRK H [PhYaringEFG FH uuml thorn UgraveUcircUacuteUuml yuml aacute98ordfaq^eJ H acopyUgraveUcircUacuteUumlAjjuuml thorn timesOslash yuml aacute98ordfaq^eJ H a timesOslash jjuuml thorn otilde)yuml aacuteOslashb a2Ograveh]jWMJLhZJ8ordfaOgravejFQcYNOslashKEgrave[]YZQ H QVUPJiexclXiacutejOb H QR[]O [SXampbLfcNPYZYograve aOtilde 13yjFNPO^Cb`NOslashKEgrave[]YZQ H QVUPJOtildebn[]OWVY H NPO H ^gJ H jYNtildeOe[W WhQ H J H MeJJUP[]fcj H Qc[]OaringJBjN H QR[]O [SX H MeJiexclNPb H QUPJbn[]O H []jehcentmbn[]ZOslashK-j H QcO[ H MJIacute^QEgraveJLhZJUO HH JLhlZaringYiexcl[SX_a j^J H NPQcfcYiexcl[SX H MeJIacutebn[]ZaringKj H N H QR[]O bLNPOcentEgraveJgXiacute[]jO^QsOaNiKKEgraveJUO^QVk X5^gtMJaumlJUP[]fcj H QR[]O`JBjN H QR[]O[SX H MJIacuteNPb H QVUPJaeligbn[]O H []jhQcY H MJgX[]fsfR[WQsO[aringaelig Yacuteaagravejaelig agrave aacute8gaq^eJ H atimesOslashjj 8ordfaq^eJ H a UgraveUcircUacuteUuml jj`b admacr s jlt8Icircraquodaq^eJ H a times Oslash jgt= ccedil A B egrave aOtilde S timesOslash jaOtilde B5 S BtimesOslash jB^eJ H aDC EBtimesOslash ja fj BGFH amp^eJ H atimesOslashj48 raquo aq^eJ H atimesOslashjj 8Icircraquodaq^eJ H a UgraveUacuteUuml jgt= ccedil I B egrave aOtilde Eacute S UgraveUcircUacuteUuml jaOtilde B S BUgraveUcircUacuteUuml jB^eJ H aDC JBUgraveUacuteUuml ja fj BKFH amp^eJ H a UgraveUcircUacuteUuml j48 raquo aq^eJ H a UgraveUcircUacuteUuml jjcedil13eacuteMJZaringN H hdQkLC JBatilde QsY ^JU^jbnJU^icircXh[]Z H MJeumlbn[U~NihdQcNPObnJbZaringN H hdQkM atilde centm YZjeKeVKhJUYZYZQcO[ H MeJ uuml UumlON hZ[WENPO^ H MeJ I UumlON bn[]fcjFZaringO^MeJeumlfcNPY H Xiacute[]jeh fsQcOeJUY [SX H MeJJBjN H QR[]ONihZJ H MeJOtildeNP^^Q H QR[]ONPf H JLhZaringY(bn[]ZaringQcO[XiacutehZ[]Z H MeJiexclU~NihQsN H QR[]O [SX H MeJOtilde^eJnVYZbnhdQRK H [PhYWiexclQ H Mordmagrave^ Y0Q H MNPYycentEgraveJLJUOOslashKhJUBQR[]jYZfVmTKhZ[UPJU^X[Ph[PhZJmWYZbLNPfRJiexclQCZaringN[PJUYeH MeJUYZJ H JLhlZaringYMNUPJ H [ cent=Jaumlbn[]OYZQc^eJLhZJU^ QsO[Ph^eJLh H [regZ N`PJ H MeJTNPb H QUPJTbn[]O H []jhbn[]OUPJLhY[PJ H [WFNihd^YNZ QcOQZtimesjFZ [SX H MJTbnhQ H JLhQc[]OO^macr^ ^~THORNUgrave2FIgraveFEgrave2Iacute_IgraveFOacuteshyETHOgraveNtildeshyEumlEgraveOIgraveIcircdEumlETHOIcircnot [Ph H MJ JkWKEgraveJLhQZOslashJUO H YeQWNtildeJ H N`PJCntildea]jordmaacute ILK Kaf[]jgWMQsbMsup1[]QVUPJUYnntilde raquo aOgravejaacutefdOafWOgravej(NPO^8ordfaOgravejaacute ILK KafIcirch cent juWMQcbdMt[]QVUPJUY8 raquo aOgravejaacute ETHOafIcirch cent j^ JbdMe[[]YZJ bbaacute f s ^QMeJaringbn[]fR[PhtimesYKNPbnJ YJUfcJUb H JU^QcYaQPszlig l szligicirclaquojeltWMeJLhZJwaOtilde aacuteRPordmjhZJLKhZJUYJUO H Y H MeJfsjFZaringQcONPObnJNPO^waOtildeOgravecent5aacute l j$NPO^frac34aOtildeS aacuteOslashicircj$hZJLKhZJUYJUO HyH MeJ H WF[bdMehZ[]ZaringQcONPObnJUY^ not [Ph H MeJbn[]ZaringKj H N H QR[]OOslash[SX H MeJuUiNihQcNPObnJSei[]Ofm H MeJfcjZaringQcONPObnJQcY(jYJU^O^

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CB5Oaring[Phd^eJLh H [aeligYJ[]ZOslashJUO H NPO Me[]ZOslash[S[PJUOJL[]jY0hJ[]QR[]OOeOgraveWFJiexclY H Nih H WQ H M NPO QcOQ H QcNPf

bLjehlUPJ0QcOYZQs^eJ H MJ0hZJ[]QR[]Oauml[SXWQsO H JLhZJUY H ^MeJybLjhYUPJ0QcY H MJUOTYZjeKK=[]YZJU^ H [JkWKNPO^jO H Qcf(Q H hJUNPbMeJUY H MeJ centEgrave[]jO^NihlmOacute[SX H MeJabn[]ObnJLhdOeJU^ Me[]Zaring[S[PJUOeJL[]jYaringhJ[]QR[]OO^MJtimesbLjehlUPJtimes^e[BJUYUacuteOe[ H [P[cent=JmP[]O^ H MJUYJaeligcent=[]jO^NihQRJUYiexclYZQcObnJSe=[UPJLh H MeJLhZJSe H MeJbnhQ H JLhQR[]OOacuteQsObnhZJUNPYJUYtimescentEgraveJUbLNPjYJ H MeJU~NihdQcNPObnJOcircu centtimesOslash [Ph H MeJ bn[U~NihdQcNPObnJtZaringN H hQVk^eJ H JLhZaringQcONPO H ^eJ H atimesOslashjUcirccentOtildeQsObnhZJUNPYJS^MeJaringNPfV[P[PhQ H MZEcentNPYJU^[]O H MeJ bn[UiNihQcNPObnJZaringN H hQVkeumlQcYaumlK=JLhlX[PhlZaringJU^euml[]ONPOQZ N[PJ [SX H MeJUBQs^eJL[`YJBjeJUObnJrnN`WQVmP[]peumlQcO[Ph^JLh H [euml^eJ H JUb HaeligH MeJYKEgraveJUN`PJLhUTYXqNPbnJS^gtMJaumlJUP[]fcj H QR[]O[SX H MJIacutebLjehYUPJIacuteQcYu[]QVUPJUO QcO not QV[^ macr^gtMeJTbn[]O H []jehiexclJUP[]fUPJUYH [ONPfcfVmbn[]OUPJLhY[PJaelig[]O H MeJIacutecent=[]jO^NihQRJUY[SX H MJyXqNPbnJa not QV[^ macr^bj^OMeJyXiacuteNPbnJaeligQcYH MeJUONPbLbLjehdN H JUfVm YZJ[]ZOslashJUO H JU^^FMeJUacuteNSZOslashKfcQ H j^eJ[SX H MeJiexclUPJUfR[BbLQ H m QsYFNPfsY[laquo[]QVUPJUOQcO not QV[aqYj^ macr^ ^OecurrenJSe Xfrac34jNPO^WNtildeJUacutebLNPO [PcentYJLhYUPJ H MN HFH MeJ5XiacuteNPbnJUacutehZJ[]QR[]O QcYUPJLhYmWFJUfcf^eJUfsQZaringQ H JU^regXhZ[]Z H MJ[ H MJLhhZJ[]QR[]OY^MJ5UPJUfc[BbLQ H m[]QUPJUO QcO not QV[aqYj^ macr^ ^OecurrenJSe XQcObLfcj^eJUY H MeJNP^^Q H Qc[]ONPf H JLhlZaringYFbn[]ZaringQcOF[yXiacutehZ[]Z H MeJ5UiNihQcN H QR[]O [SX H MeJiexcl^eJUYbnhQRKeVH [PhY5WQ H Magrave`centj H ^e[BJUYOtildeOe[ H QcObLfcj^eJ H MeJaeligcentEgrave[]jO^NihlmVcentNPYZJU^ H JLhlZ WMQcbMeumlQcYUacuteNYYZaring[[ H MQsO[ H JLhlZ^KMeJtimesNSZOslashKfcQ H j^eJOtilde[SX H MeJyUPJUfc[BbLQ H maQcYiexclOe[PhlZaringNPfcQcurrenLJU^ centEgraveJ H WFJLJUOs NPO^ macrSmacre$YZjbdM H MN HTH MeJ OeJ[]N H QVUPJoU~NPfcjJUYIacuteNihZJ fR[WFJLh H MNPO f i`NPO^ H MeJKEgrave[]YZQ H QUPJ[]OJUYNihZJTMQ[]MeJLh H MNPOpoundf i^ J bLNPObn[]ZaringKNihZJ H MJ QcOQ H QsNPfUPJUfR[BbLQ H m[Pcent H NPQcOJU^jYZQcOF[ H MeJ bn[U~NihQsNPObnJZaringN H hdQk admacr s juWQ H M H MeJOtilde[]OeJOtilde[Pcent H NPQcOeJU^jYQcO[ H MeJordfUiNihQcNPObnJrega2Sj^KMeJordfXqNPbnJTQcYOe[ H WNtildeJUfsf9^eJ H JUb H JU^QcO H MeJUPJUfR[BbLQ H m[Pcent H NPQsOeJU^ajYQcO[ H MeJUiNihQcNPObnJa not Q[^ ^bjWMJLhZJUNPYIacuteQ H QcYIacutehZJUNPfcfmumlWNtildeJUfcfF^eJ H JUb H JU^QsO H MeJQcOQ H QcNPfUPJUfR[WbLQ H m7jYZQcOF[ H MeJbn[iVUiNihQcNPObnJpoundZ N H hQk a not QV[^ ^currencentj^_MeJ UPJUfR[WbLQ H m [Pcent H NPQcOeJU^ jYZQsO[ H MeJumlU~NihdQcNPObnJ^e[BJUYOe[ H NPfsfR[W NPOJltz bLQRJUO H YJ[]ZOslashJUO H N H QR[]O`[SX H MeJyXiacuteNPbnJauml[]O H MeJaumlbn[]O H hNihYm H [H MeJIacutebn[UiNihQcNPObnJlaquoZaringN H hQk^eJ H JLhZaringQcONPO H WMQsbM H N`PJUYUacuteNP^UiNPO H N[PJaelig[SX H MeJtimesbn[]fR[PhQcOFX[PhlZ N H QR[]OO^macr^ ^WVFEumlETH=gtNtildeFETH32EacuteltOacuterETHEacute`0Ntilde=KIgravek8ltIgraveFETHIgrave5=KETH32EacuteltOacute~2Oacute+(8ltIgraveEacute IcircIgrave5euml1IgraveFOacute=KIgraveIcircMJa^eJUYZbnhQcK H [PhYOslashcentNPYZJU^[]O H MJ`bn[UiNihQcNPObnJZaringN H hdQkNihJ`QZOslashK-fRJZOslashJUO H JU^ H [^eJ H JUb H MBjFZaringNPO XqNPbnJUYQcO UWQc^eJL[OacuteYJBjeJUObnJUY^MQsYaring^eJ H JUb H QR[]OegraveZaringNm cent=J`jYJU^Xiacute[PhtUWQc^eJL[ bn[B^QcO[ H [JUObn[W^eJYJUfcJUb H QVUPJUfVm H MeJOacuteMBjFZaringNPOegraveXqNPbnJS^ not [Ph`N []QVUPJUObn[]ZOslashKhZJUYZYZQR[]OOacutehN H QR[e H MeJoXiacuteNPbnJbLNPO7cent=J H hNPOYYZ Q HH JU^bWiexclQ H MN MQV[]MJLhThN H J H [H MeJ^eJ H hdQZOslashJUO H [SX H MeJcentNPbl`[Ph[]jO^O^uMQsY QsO H JLhZJUY H QcO[KhZ[PKEgraveJLh H m QcYUiNPfcjWVNicentfcJuX[PhUBQc^JL[Bbn[]OXiacuteJLhZJUObnJUYe]WMeJLhZJ H MeJ ZOslash[]Y H QZOslashKEgrave[Ph H NPO H NPO^regZOslash[]Y H U~NihdQcNicentfRJQcOFX[PhlZ N H QR[]OQcYfR[WbLN H JU^ []O H MJordfXiacuteNPbnJaq 5ZOslash[]Oe[]j`NPO^tUacutejMNSZaringJUfde sSsSs j^ J QcOQ H QcNPfcQVcurrenLJ H MJhdY H XiacutehNSZOslashJoWQ H M7N`bLQchbLfRJ QsOYZQc^eJ H MeJXqNPbnJ H [ H hNPbY`K^MJUOOeyacuteWFJsup1ZaringN`PJ H MeJNPb H QVUPJ7bn[]O H []jeheumlJUP[]fVUPJjYZQcOF[admacr s jeiexclWQ H MX8ordfaOgravejxaacuteILK KafUgravemiddot cent j^ltMeJregONPfybn[]O H []jehtimes[SX H MeJ bLjehZhJUO H QZaringN[PJ QcY H MeJUOOacutebdMe[]YJUO7NPYNPO QcOQ H QcNPfbLjhYUPJordfX[Ph H MJUacuteOJk H QZaringN[PJS^FMeJOtildeNPfV[P[PhQ H MFZMNPYcentEgraveJLJUOKEgraveJLhYXiacute[PhlZOslashJU^[]OYJUPJLhdNPf$YJjJUObnJUY^MeJaelighZJUYjf H Y5X[Ph H MJaeligYZJjeJUObnJpoundn5JLhQV`p NihJordm[]QVUPJUOQcOnot QV[^ethz^shyMeJaringKNihNSZaringJ H hZJ bMNPYaumlcentEgraveJLJUOYZJ HaumlH [sup1f s ^QMeJordmXqNPbnJ QcYordfWFJUfcfy^J H JUb H JU^NPO^ H hNPbY`PJU^times[]O H MJ|WMe[]fcJyYJjJUObnJS^MJyhZJUYZjf H YOX[Ph H MeJNtildeYZJjeJUObnJnN`WQVmP[]p

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ macrNihZJy[]QVUPJUO`QsO not QV[^ i^ JaeligbMe[B[]YJbaacute s ^ JtimesbLNPO`YJLJ H MN HH MeJXiacuteNPbnJaeligQcYuWFJUfcf^eJ H JUb H JU^aJUPJUOaQVX H MeJaumlbn[]fR[Phiexcl[SXMJLhYZMQRh H QsY(bLfR[]YJ H [ H MJgXiacuteNPbnJIacutebn[]fR[Ph^

YOEAEligMgtIltROgravesup3PshyAtildeT13MKI5O H MQcYKNiKEgraveJLheuWNtildeJKhZ[PKEgrave[]YJN OeJW 0jfRJLhQcNPOAumlZaringQsOQZaringQVcurrenUN H Qc[]OAumlZOslashJ H Me[W^ H [bn[]ZOslashK-j H J H MJUPJUfR[WbLQ H mpoundUPJUb H [Pharing[SXNPONPb H QVUPJ bn[]O H []jeh H MN H JUOYZjehZJUYtimesQ H WQcfcfJUP[]fVUPJ NPYordfXiacuteNPY H NPYOtildeKEgrave[]YZYZQRcentfcJ H [WNih^YIacuteNZaringQcOQCZIacutejFZ [SXN bnhQ H JLhQR[]OeumlQcObLfcj^QcOF[centEgrave[ H MUacutehZJ[]QR[]OeVcentNPYJU^TNPO^OtildecentEgrave[]jO^NihYmVcentNPYJU^ H JLhlZ Y^ q jehgNiKKhZ[]NPbMIacuteQcYcentNPYZJU^Otilde[]OYZMNiK=J[PK H QZaringQVcurrenUN H Qc[]OOslashKhQcObLQRKfRJUY$NPO^ QcYyKEgraveJLhYXiacute[PhlZOslashJU^ QcO H MehZJLJ5ZaringNPQcO Y H JLKYaringf^ltO H hZ[W^jb H QR[]O[SX$NOslash^mWONSZaringQcbLNPfYbMeJZOslashJIacuteQcO H MeJTbnhQ H JLhQR[]OOe ^vF[]ZOslashKj H N H Qc[]Oaelig[SX H MeJ_0jfRJLhdQcNPOaelig^eJLhQVUiN H QVUPJ[SX H MJbnhQ H JLhQR[]OOslashjYZQcO[OtildeYZMNiKEgraveJ

[PK H QZaringQVcurrenUN H Qc[]O H [[]fcYe^vF[]ZOslashKj H N H Qc[]Oa[SX H MeJtimesJUP[]fcj H Qc[]OaJBjN H QR[]O`[SX H MeJaeligNPb H QVUPJtimesbn[]O H []jehiexclXiacutehZ[]ZH MeJT^eJLhQU~N H QVUPJS^

iexcl Ntilde _ cent G NPfcfR[WY H [hJUNP^QcfVm H N`PJNtildeQcO H [NPbLbn[]jO H9H MeJybLNPYJ0[SXBhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H^eJUYbnhQRK H [PhY H MN H NihZJo[]fR[PcentNPfcfVmN HH NPbdMeJU^ H [ H MeJ JUP[]fVUWQcO[ hZJ[]QR[]OYtimesNPO^Y[H MN H UiNihYm^jehQsO[ H MJaumlKhZ[PKN[]N H Qc[]O [SX H MJaumlbLjehYUPJS^ JTYMe[W H MN HH MeJgUiNihQuVN H QR[]O [SX H MeJUYJ^JUYZbnhQRK H [PhdY QsO^jbnJUYNP^^Q H QR[]ONPf H JLhlZaringYQcO H MeJeumlJUP[]fcj H QR[]OJBjN H QR[]Oeuml[SX H MeJaringNPb H QVUPJ bn[]O H []jeh^MJUYJ H JLhlZaringYgZtimesjY H Oe[ H centEgraveJlaquoX[Phl[P[ HH JUOQcO[Ph^JLh H [ hZJUNPbMeumlN H hjeJZ QcOQZtimesjFZ[SX H MeJtimesbnhQ H JLhQc[]OaNPYUacuteQ H MNPYcentEgraveJLJUOKEgrave[]QcO H JU^[]j H QsOJkBKEgraveJLhQZaringJUO H NPfEgravehZJUYjf H Y^

Yfrac34XiacuteNiheumlNPYeumlMe[]ZOslash[S[PJUOeJL[]jYeumlbn[]fR[PheumlhZJ[]Qc[]OY`YZJ[]ZOslashJUO H N H Qc[]OQsY`bn[]ObnJLhdOeJU^OeWFJKhZ[PKEgrave[]YJ H MeJ`bn[U~NihQsNPObnJfrac34ZaringN H hdQk^eJ H JLhlZaringQcONPO H NPY N^eJUYbnhQRK H [Ph^MQcYY H N H QsY H QcbLNPfhZJ[]QR[]OeV4^eJLKEgraveJUO^eJUO H ^JUYZbnhQRK H [PharingNiKK=JUNihdY H [centEgraveJN UPJLhlm7hJUfRJU~NPO HH [B[]fampNPO^eumlY[ Q H MNPYUacutecent=JLJUOeumlYZjbLbnJUYZYXqjfcfVm NiKKfsQRJU^ H [XqNPbnJaring^eJ H JUb H QR[]OQcOfrac34UWQc^eJL[YJBjeJUObnJUY^

iquest acuteraquoacuteLacuteIltR]acuteAtildeagraveIgravefrac14dEcircsup1Atilde5AringiquestLmiddotNtildeIumliquestUumlgIumlUTHORNampAtildeEacutecedilAtilde5AringAcircnAtilde|iquestaacuteIacuteIumlIZEgravefrac14Zcedilfrac12frac14dAringiEcirc]iquestfrac14draquoiEcirc[NtildeIumlagraveAringEacutePAtildecedilwAacute4] uacute_^J^J^ iquest)` igraveraquoLCcedilfrac14cedil4Ecircfrac14draquo~Ecirc(Auml|AringAacuteCcedilfrac14Zcedil4Ecirc

Agrave5AringcedilAcircnAtilde$AtildeAcircnAuml|frac12AringAacutesup1AumldraquoTAringAEligwsup1raquo~ordm(frac12Atilde5AcircnAtilde5frac12AEligwAtildeAacuteampIgrave(Atilde AacuteIcirc~AumlUEcircSaIumligraveraquo13] x4~rv p4PldrRtcoPl|Egraveod5v pv i4vodaumlx4shyl not vsectpqo v tu not Iumlcb$Auml|EacutePAtilde|iquestednfrac14Oumlifrac14draquoIuml

agraveIgrave(Aumldraquo~Auml|Aringiquest~igrave4IumlPfrac14raquoiEcircfWIumliTHORNampAringIcircifrac14Igrave(Atilde5frac12G] divideugrave|ugrave|ugrave iquest` igraveAacuteAtildecedil4frac14ZAacutesup1Acirc|AtildeNtildeEacute~frac14dAgrave4UgraveUCcedilEgravefrac14cedil4EcircUacuteAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoUacuteOgraveregAumldcedilIcirc~sup1Atildecedil4frac14cedilAgrave4Icirc~sup1currenEumlAgravefrac14dfrac12=CcedilEgravefrac14AcircnAtilde5frac12AtildeAacutesup1Igravefrac14ordm|AtildeAgrave5AumlUEcircsup1raquo~ordmIaIumlaeligigraveiacuteraquoS] x4rv p ildrRtcodil|ampod5v pv P4vOtildeodOslashx4shy(l not vFsectpqo v tu not Iumlg frac14raquo~Agrave5AumldAring~AcircnAtildecediliquestehEgravefrac14raquoifrac14|Ecircfrac14Iuml

agraveAringEacutePAtildecedilwAacuteiquest[NtildeIumlWfrac14raquoiEcircifWIuml13b$Aumldcedilraquo~OumlcedilAuml|EacuteAEligqAacute4] divideugrave|ugraveuacute iquestkj ldrregv shy(ldrRtcl|ipwonm5v shyNtildetuOslashtushyl not vampipwo4v tu not sect9ldp4rRtcl|Egravedt lv pv ~rRtRl|9vDm~lrRtcod~ldiTrreg~vUacutel| Uiexcloqnldp4tcldrRtRod~ iquestpoAumlIuml uacute_qEr IumlOslashagrave9Ouml~Oumlfrac12sup1AtildeEcircaacuteUacutefrac14AacuteIcirc~AtildeIgravefrac14Aacutesup1Agravefrac14dfrac12BatildeAgravesup1Atilderaquo~Agrave5Atilde5AElig5iquestPatildeOumlcedilsup1raquoordm|Atildecedil g Atildecedilfrac12frac14dordmIumlhEgravefrac14dAEligwAtilde5frac12frac12Atilde5AElig5iquest g Iumliquest~szlig0Iumleb$sup1Igrave(Igrave(Atilde5frac12Riquestifrac14raquoiEcirc[NtildeIumlatildefrac14dOumlsup1cedilAumlI] uacute_^J^Er iquest`s[Atilde5AumlUEcircAtilde5AEligwsup1AgraveFfrac14dAgraveAacutesup1AcircnAtildeyAgrave5AumldraquoUAacuteAumldAringcedilAElig_aIuml x4~rv p4PldrRtcodPldpoundUodUp4Pl|WoqodshyiUrv paumlumltutcodutet13v uacute+w iquestex uacuteyIrz^ Iuml

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CBh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34LiquestBagraveyIumlWfrac14raquoiEcircidIumlBTHORNampAringraquo~Agravefrac14raquo13] uacute4^z^J^ iquest`[ampfrac14Igrave(AtildeEumlcAacuteIcirc~Atilde5AumlcedilAtildeAacutesup1Agrave(sup1raquoUAacuteAtildeordmdcedil4frac14Aacutesup1AumldraquoaeligOgraveuAumldcedil0sup1Igravefrac14dordmdAtildeAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIuml xQ|||~pwl~ lnrRtcodNtildeodiexclsect9lrRrv p auml9Pl| ~tuyldi j l|4Utu]vx4~rvreg t not v P4v Iumlh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34Liquestgagrave0IumliquestIumlgatildeUAacute4frac14dsup1Eacuteiquest9frac14draquoiEcircdIuml9THORNampAringraquo~Agravefrac14raquo13] uacute_^J^ xiquest` THORNampAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeIacuteEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34iraquo~Ecircsup1raquo~ordmsup1raquoIgrave(AtildeEcircsup1Agravefrac14frac12iexclsup1Igravefrac14ordm|Atilde5AEligaringEacuteLfrac34Oacutesup1raquoLAacuteAtilde5ordmcedil4frac14Aacutesup1raquo~ordm ordmdcedil4frac14|Ecircsup1Atilde5raquoLAacute frac14raquoiEcirccedilAtilde5ordm|sup1Auml|raquo sup1raquoOgraveuAumldcedilIgravefrac14ZAacutesup1Auml|raquo13aIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu notI iquesteE ^4y rdugrave Iumlh=Icircifrac14raquoiquestBETHIumlWfrac14raquoiEcircIuml g Atilde5AEligwAtildeJ] dividedugravedugraveuacute iquest` agraveAgraveAacutesup1AcircnAtildeFAgrave5Auml|raquoLAacuteAuml|AringcedilAElig$Ccedilgsup1AacuteIcircAuml|AringAacuteNtildeAtilde5Ecircordm|AtildeAElig_aIuml xQ||k|~pwld lnrRtcododUacutex4shy(l not v9sectpqo4v 4tu notuU v divideJw iquest divide xJx ydividezrJr Iumlh=Icirc~Atilde5AEligwraquo~frac14dAring~EcirciquesthIumliquestfWIuml=szligAtildeOgraveYacutecedilIAtilde5ordm|sup1Atildecediliquestfrac14draquoiEcirc g Iuml5Z=AumldAring~frac12AtildeAacute4] uacute_^J^z^ iquest`currenatildeUAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12cedilAtilde5ordmdsup1AumldraquoAEligwraquoifrac14dUgrave|AtildeEumlsEacuteifrac14dAEligwAtilde5EcircAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquofrac14|Ecircfrac14dOumlAacuteAtilde5EcircFAacuteAumlyEcircsup1s]AtildecedilAtilde5raquoLAacute-Ouml~IcircLfrac34AEligwsup1Agrave5frac14dfrac12~raquoAuml|sup1AEligwAtilde9Igrave(AumlUEcircAtilde5frac12AElig_aIuml xQ||k|~pqld~ lnrRtco~$osect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4vt iquest uacute|uacute_q y~uacute|uacute xIumlh=Auml|IcircAtilde5raquoiquestIuml] uacute4^z^uacute iquest`currenmiddotraquofrac14dAgrave Aacutesup1Acirc|Atilde Agrave5AumldraquoLAacuteAuml|AringcedilIacuteIgrave(AumlUEcircAtildefrac12AEligtimesfrac14draquo~EcirceumlEacuteifrac14dfrac12frac12AumlLAuml|raquoAElig_aIuml odshyiUrv pumltutcod pwl Utc0ldix4shyl not vsectEgravepwo4v tu not x4shyl not vOtildePnv p rsldidtu not) iquest divideUuacuteduacuteydivideLuacute UIumlh=Auml|IcircAtilde5raquoiquestSIumliquestUumlIuml13ZEgravefrac14cedil4Ecircsup1raquo~AtildeAacuteiquestfrac14raquoiEcircoNtildeIumlagrave9frac34Lfrac14dAgrave4Icirc~AtildeJ] uacute_^J^z iquest`atildeUAringcedilwOgraveufrac14dAgrave5Atilde0cedilAtilde5Agrave5Auml|raquoAEligqAacutewcedilAring~AgraveAacutesup1AumldraquotimesAring~AEligwsup1raquoordmfrac14AgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilaumlIgrave(AumlUEcircAtilde5frac12AElig_aIuml igraveiacuteraquoS] Lsect=xQ|od5v pv P4v od vwodshy(v rRp tc j v rregodtimestuodshyiUrv pumltutco Iuml~atildefrac14raquoUacuteTHORNampsup1Atilde5ordm|AumliquesthEgraveagraveyIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquestEgraveUumlIuml] dividedugrave|ugravedugrave iquest`currenatildeAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquo Ouml~frac14cedilAgrave5Auml|raquoLAacuteAuml|AringcedilAEligUacutefrac14AgraveAacutesup1currenOgraveuAEligUacuteAtilde5raquosup1Igravefrac14dordmdAtildecedilsup1AtildeIacuteIgraveAtilde5Ecircsup1Agravefrac14dfrac12AtildeIacuteEcircfrac34UEumlraquoifrac14dIgrave(sup1ecircLAring~Atilde]ampfrac14Ouml~Ouml~frac12sup1Agravefrac14ZAacutesup1AumldraquoAtilde5raquoeumlAgravefrac14Zcedil4Ecircsup1Auml|frac12Auml|ordmdsup1Atilde raquoUAring~Agravefrac12Atilde5frac14dsup1currencedilAtildeJaIumlfIcircIuml THORNFIumlAacuteIcirc~Atilde5AEligwsup1AElig5iquestraquo~sup1AcircnAtildecedilAEligwsup1currenAacutefrac34`AumlOgraveosup1Agrave5AtildeEumliacuteatildeAumldOuml~Icircsup1Yacutefrac14NtildeagraveraquoLAacutesup1OumlPAuml|frac12sup1AElig5iquestPeacutecedil4frac14raquo~Agrave5AtildedIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquest|UumlIumliquestUaacuteIacuteIumlEZEgravefrac14cedilfrac12frac14dAring~Ecirciquest[NtildeIumlLagraveAringEacutePAtildecedilwAacuteiquest|frac14draquoiEcirc dIumlnTHORN$frac14ZcedilAgrave5Auml|AringcedilwAacute4] divideugrave|ugraveUuacute iqueste`currenatildeOuml~frac14dAgrave5AtildeEgraveAacutesup1Igrave(AtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14EumlAacutesup1AumldraquoUacuteAring~AEligwsup1raquoordmfrac12Atilde5AcircnAtilde5frac12AEligwAtildeAacutefrac14dAgraveAacutesup1AcircnAtilde$AgraveAuml|raquoLAacuteAuml|AringcedilAEligfrac14Ouml~Ouml~frac12sup1AtildeEcirciexclAacuteAumlFIgraveNtildefrac34LAumlLAgravefrac14Zcedil4Ecircsup1frac14dfrac12ordmnfrac14ZAacuteAtildeEcircOtildeatildeIf-UumlkhEgraveETHaIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu not t v rJw iquest)x qJ+y xJ ^ Iuml

THORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquest13iexclNtildeIumlfrac14draquo~EcircdIumlWaacuteAuml|raquoLAacute4frac14ordm|raquoifrac14ZAacute4] divideugrave|ugraveUuacute iquest` ETHBAumldOumlPAuml|frac12Auml|ordmfrac34Oslashfrac14raquoiEcircIacuteAEligwIcirc~frac14dOumlPAtildeAgraveAuml|raquo~AEligqAacutewcedil4frac14sup1raquoUAacuteAEligyAumldraquotimesOumlifrac14Zcedil4frac14EumlIgrave(AtildeAacutewcedilsup1AgraveOslashfrac14dAgraveAacutesup1AcircnAtildearingAgrave5AumldraquoLAacuteAuml|AringcedilAElig_aIuml odshy~rv pumltutcodldP x4shy(l not vPLv p4rsldPtu notcent) v divideJw iquestuacute_qnugrave4yiuacute4rUuacute Iuml[Auml|Igrave(Atilde5AElig5iquestpounddIumlfrac14draquo~EcircaringmiddotNtildeIumleacuteifrac14Aring~ordm|Atilde cedil4frac14dAElig_] divideugrave|ugrave|ugrave iquestcurren` szlig9Atilde5Agrave5Aumldraquo~Agrave5sup1frac12sup1raquo~ordmIacuteEcircsup1AEligqAacute4frac14draquoAgrave5AtildeOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligfrac14draquo~Ecircaeligfrac12Atilde5AcircnAtilde5frac12EgraveAEligwAtilde AacuteAElig_aIumlpoundUodUp il|WoqUacuteumltul|-odshyNtildeshyFU~tR4lrRtcodTldix4shyl not vampgvipv v rsldrRtcod ) iquest dividedugravez^+ydivideddividez Iuml[cedil4frac145frac34LiquestszligyIumliquestdIumlyen-Auml|Aringraquo~ordmiquestampfrac14raquoiEcircagrave0Iumlampagravesup1currenfrac34LAtildecedil4] dividedugravedugraveuacute iquest `aacutesup1raquosup1IgraveNtildeAring~Igrave Ecircsup1AEligwAgrave cedilsup1Igrave(sup1raquo~frac14Aacutesup1Auml|raquosup1raquoOgraveregAumldcedilIgravefrac14Aacutesup1AumldraquoAgrave5frac12Aring~AEligqAacuteAtildecedilsup1raquo~ordmI]Igrave(AumlUEcircAtilde5frac12sup1raquo~ordmTfrac14raquoiEcircOslashecircLAringifrac14raquoUAacutesup1Ocircfrac14ZAacutesup1Auml|raquoOslashCcedilgsup1currenAacuteIcirc ordm|frac14dAringAEligwAEligIgrave(sup1currenicircAacuteAringcedilAtilde5AElig_aIumlTigraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquest=atildePIumliquest=aacuteIacuteIumlkZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestEgravefrac14raquoiEcirc[NtildeIuml=agrave9Aring~EacutePAtildecedilwAacute4] dividedugrave|ugraveUuacute frac14Uiquest` agrave EumliacuteatildeUAacuteAtilde5Ouml frac14dfrac12ordm|Aumlcedilsup1currenAacuteIcirc~IgraveAring~AEligwsup1raquoordmcedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtilde=Agrave5Auml|raquoLAacuteAuml|AringcedilAEligeOgraveuAumldcedilAcircUsup1EcircAtilde5AumlAuml|EacuteUbrvbarqAtilde5Agrave AacuteAElig=EcircAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoSaIuml~igraveraquo13]psect xw j x4 sect odpDumlqo odUacutex4shy(l not v9Pl| ~tu5op j rRtushyvwdtclNtildex4rv pwlnrRtKndvy]v pntc4v IumliETHWfrac14dIgrave(OumlPAtilde cedilAtilde|iquestieacuteWsup1raquofrac12Yacutefrac14raquoiEcirc]Iumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquestUatilde]IumliquestUaacuteIacuteIumlUZ=frac14cedilfrac12frac14dAring~EcirciquestUfrac14raquoiEcirccopy[NtildeIumlUagrave9Aring~EacutePAtildecedilwAacute4] dividedugravedugraveuacute EacuteiquestA` szlig9Atilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14AgraveAacutesup1AcircnAtildegAgrave5Auml|raquoLAacuteAumldAringcedilAEligOgraveuAumldcedilAcircUsup1YacuteEcircAtilde5AumlaringAuml|EacuteUbrvbarqAtilde5Agrave AacuteOtildeAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo Ccedilgsup1currenAacuteIcircaAgrave5frac14dIgrave(Atildecedil4frac14OslashAgrave5AumldIgrave(OumlPAtilde5raquo~AEligfrac14ZAacutesup1Aumldraquo13aIumligraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquesteatilde]IumliquestWaacuteIacuteIumlZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestefrac14draquo~Ecirc[NtildeIumlBagraveAring~EacutePAtilde cedilwAacute4] divideugrave|ugraveuacute Agrave|iquestk` g sup1EcircAtilde5AumlUacuteAuml|EacuteUbrvbarqAtildeAgraveAacuteFAEligwAtildeordm|Igrave(Atilde5raquoLAacute4frac14Aacutesup1AumldraquoAring~AEligwsup1raquo~ordmIacuteAtilde5Aring~frac12Atildecedilsup1frac14draquo cedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAElig_aIuml igraveiacuteraquoS] x4rv p ildrRtcodil|yodv pwv P4vIacuteoodshyiUrv paumlumltutcod Iuml g frac14draquoAgrave5Auml|AringAcircnAtildecediliquestehEgravefrac14draquo~frac14|Ecirc~frac14UIumlbyfrac14dAEligwAElig5iquesteaacuteIacuteIumliquestWagrave0Iuml Ucirc sup1currenAacuteUgravesup1raquoiquestWfrac14raquoiEcirctimesTHORNFIumlWETHBAtildecedilOcirc5AumldOumlPAuml|Aringfrac12AumldAElig_] uacute4^ JUiquestk`currenatilderaquoifrac14UgravenAtilde5AElig_]WagraveAgraveAacutesup1AcircnAtilde(Agrave5AumldraquoLAacuteAuml|Aringcedil0Igrave(AumlUEcircAtilde5frac12AElig_aIumlx4~rv p4PldrRtcoPl|WpoundUop4PldWoqodshyiUrv pTumltutcod iquest ndivideUuacuteyUzndivide Iuml

aacuteUacutefrac14dfrac12frac12frac14|Ecircsup1ciquest~szlig0IumliquestedIuml]atildeUAtildeAacuteIcirc~sup1frac14raquoiquest~frac14draquoiEcircZIuml g Atilde5IgraveNtildeAringcedilsup1G] uacute4^z^ UiquestS`atildeUIcircifrac14OumlPAtilde$Igrave(AumlUEcircAtilde5frac12sup1raquo~ordm0Ccedilgsup1AacuteIcirciexclOgraveregcedilAuml|raquoLAacuteOumlcedilAumldOumlifrac14dordm|frac14EumlAacutesup1Aumldraquo13]nfrac14ampfrac12AtildeAcircnAtilde5frac12AEligwAtildeAacuteEgravefrac14Ouml~OumlcedilAumlnfrac14dAgrave4Icirc13aIuml xQ|||~pwld lnrRtcodampodsectgldrRrv p 9Pl| ~tu9ldP j ln4Utreg]vx4~rvu t not v i4v Iordf iquest uacute z yiuacute+r UIuml

aacuteUacutefrac14draquoAEligwAuml|Aringcedilsup1Riquestagrave0Iumlfrac14draquo~EcircdIumlb$Auml|raquocedil4frac14|EcircS] uacute_^J^J^ iquestlaquo`currenaacuteAumldAacutesup1AumldraquoAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo`Ccedilgsup1currenAacuteIcirceumlfrac12Atilde5AcircnAtildefrac120AEligwAtilde AacuteAElig_aIuml igraveraquo13]x4~rv p4PldrRtcoPl|=ov pwv P4vNtildeodUacutex4shyl not vsectEgravepwo4v tu not Iumlcb$AumldEacutePAtilde|iquestednfrac14dOuml~frac14draquoIuml

aacuteAuml|raquoLAacute4frac14dordmdraquoifrac14ZAacuteiquestdIumliquestziexcl0IumlTHORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquestdfrac14draquo~EcircoNtildeIumlZagravegfrac34Ufrac14dAgrave4Icirc~AtildeJ] dividedugrave|ugraveUuacute iquest` agraveOslashcedilAtildeAcircsup1AtildeCcedilaeligAumldOgravePEcircAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeAEligwAringcedilwOgraveufrac14dAgrave5AtildeAElig_]AacuteAuml|OumlPAuml|frac12Aumldordmdfrac34Liquestgordm|AtildeAuml|Igrave(AtildeAacutewcedilwfrac34frac14draquoiEcirc EcircAtildeOgraveuAumlcedilIgravefrac14Aacutesup1Auml|raquoSaIuml x4shyl not vtimesldiOacuteumltutcododshy~rRtreg not0Inot v uacute_qw iquestuacuteugravendivide+y~uacuteugravezq|ugrave Iuml

aacuteAring~IgraveOgraveregAumldcedil4Ecirciquest=THORNFIumlgfrac14raquoiEcircdIumlatildeIcirc~frac14dIcircS] uacute4^ ^ iquest`currenmiddotOumlAacutesup1Igravefrac14frac12$frac14dOumlOumlcedilAumlicircsup1Igravefrac14Aacutesup1Auml|raquoAEligEacuteLfrac34Oumlsup1AtildeAgrave5AtildeCcedilgsup1AEligwAtildetimesAEligwIgrave(AumlLAumlAacuteIcircOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligFfrac14raquoiEcircOslashfrac14dAEligwAEligwAumlLAgravesup1Yacutefrac14ZAacuteAtildeEcircaringAcirc|frac14Zcedilsup1Yacutefrac14ZAacutesup1Auml|raquoifrac14frac12EgraveOumlcedilAumldEacute~frac12Atilde5Igrave(AElig_aIuml odshyNtildeshyFU~tR4lrRtcod~oaeligsectEgraveUpvUacuteldiEgraveni tsvw j ldrreg~v shy(lrRtccurrenshyt iquest rzr4y xJ q Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfa

yenKbrvbarsect =4 acirc $ zmiddotAEligwIcirc~AtildecediliquestdatildePIumlfrac14draquo~EcircdIumlnatildeAtilde AacuteIcirc~sup1frac14draquoS] uacute4^ ziquest` eacutecedilAuml|raquoLAacuteAEligeOumlcedilAumldOumlifrac14ordmnfrac14Aacutesup1raquoordmCcedilgsup1currenAacuteIcircFAgrave5AringcedilAcirc|frac14ZAacuteAringcedilAtildeEumlEcircAtilde5OumlPAtilde5raquoiEcircAtilde5raquoLAacuteBAEligwOumlPAtildeAtildeEcircS]

agravefrac12ordm|Aumlcedilsup1AacuteIcircIgrave(AEligEacute~frac14dAEligwAtildeEcircaumlAuml|raquoiexclampfrac14Igrave(sup1frac12AacuteAumldraquoEumldnfrac14Agrave5Auml|Eacutesup1eacute~AumldcedilIgraveNtildeAring~frac12frac14Aacutesup1Auml|raquoSaIuml poundUodUp4Pl|oqiexcloshyiUrsldrRtcoPl|sect=U~tc ordfenot iquest uacutedivide4yEqE^ Iumlfefrac14cedil4frac14ordm|sup1Auml|AElig5iquestoNtildeIumlfrac14draquo~EcircIacuteszligyIuml]THORNampAtildecedilsup1Agrave4Icirc~AtildeJ] uacute4^z^J^ iquest`s[Atilde5AumlUEcircAtildeAEligwsup1Agravefrac14AgraveAacutesup1AcircnAtildeFcedilAtilde5ordmdsup1Auml|raquo~AElig$OgraveregAumldcedil0Igrave(AumldAacutesup1Auml|raquoTAtilde5AEligqAacutesup1Igravefrac14Aacutesup1Aumldraquofrac14draquoiEcircAacutewcedil4frac14dAgrave4UgraveUsup1raquoordmAaIumligraveiacuteraquoS] x4rv p ildrRtcodil|-ov pwv P4vFodOslashodshyiUrv paumlumltutco Iumleh=AumldcedilwOgraveregAringgt[cedilAtilde5Atilde5Agrave5Atilde|Iumlfefrac14AacuteAtilde5Aringicirc]iquestatilde]Iuml] dividedugravedugrave|ugrave iquestpound`currenatildeOuml~frac14Aacutesup1frac14dfrac12AEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoTAumldOgrave=Agrave5Auml|frac12Aumlcedilysup1Igravefrac14ordm|Atilde5AEligampfrac14dAgrave5Agrave5Aumlcedil4Ecircsup1raquo~ordmAacuteAumlUacuteaacuteTHORNaringOgraveregAumldcedilIgravefrac14dfrac12currenEumlsup1AEligwIgraveaIumlyigraveraquo13] x4~rv p4PlrRtcodPld=od5v pv i vodododpFtu pwl4UtcldPx4shyl not vysectpqo v tu not Iumlatildefrac14dsup1raquoLAacute UumleAacutesup1Atilderaquo~raquo~Atildediquestieacutecedil4frac14raquo~Agrave5AtildedIumlfcedilAtildeAgrave5sup1Auml|AEligwAumliquesteacute=IumlEgravefrac14raquoiEcirc aacuteIacuteIumlcurrenZEgravefrac14cedilfrac12frac14dAring~EcircS] dividedugrave|ugraveUuacute iquest` Z-EumliacuteatildeUOuml~frac12sup1raquo~Atildeaumlfrac14dAgrave Aacutesup1Acirc|AtildeOtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAEligOgraveregAumldcedilOgraveRfrac14AEligqAacuteAcircUsup1EcircAtilde5AumltimesAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIumlOacuteigraveraquo13] x4rv p ildrRtcodil|od5v pv P4vaeligod x4shy(l not vUacutesectpqo4v 4tu not IumlETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1Riquest[cedilAtilde5Atilde5Agrave5Atilde|Iuml

szligAumldraquoOgraveufrac14cedil4EcirciquestszligyIuml] uacute_^J^q iquest` szlig9Atilde5ordmdsup1AumldraquoEumlsEacuteifrac14AEligwAtildeEcircFAEligqAacutewcedil4frac14ZAacuteAtilde5ordm|sup1Atilde5AEligeOgraveuAumlcedil-frac14dAgraveAacutesup1AcircnAtildeEgraveAgraveAuml|raquoLAacuteAuml|AringcedilIgrave(AumlUEcircAtilde5frac12AElig_aIuml x4~rv p4PldrRtcoPl|poundUodUp il|WoqodshyiUrv paumlumltutco I v dividezw iquest divideddividez^+yUdivide uacute Iuml

atildefrac14Igrave(AEligwAuml|raquoiquestzhIumliquestzIumlzZ=frac12frac14raquo~AgraveEumleacuteAtildecedil4frac14AringiEcirciquestJ[NtildeIumldagraveAringEacutePAtildecedilwAacuteiquestfrac14draquo~Ecirc dIumlJregPAtildecedilAring~Eacutesup1frac14I] dividedugravedugrave|ugrave iquest` agrave frac12Atilde5Acirc|Atilde5frac12UAEligwAtildeAacuteIgrave(AumlUEcircAtilde5frac12nOgraveregAumldcedilsup1Igravefrac14ordm|AtildeAgrave5frac12frac14dAEligwAEligwsup1siAgravefrac14ZAacutesup1Auml|raquo13aIuml x4~rv p4PlrRtcodPldpoundUodUp4Pl|BoqNtildeodshyiUrv pOtildeumltreg4tRod shy v Ew iquest uacute r4y~uacute4^Er Iuml

atildefrac14raquo~ordmdCcedilgsup1raquoAtilde|iquest9atilde]IumlEgravefrac14draquo~Ecircszlig0IumlampiexclAumldcedilraquoAtilde v Atilde5EcircAElig5Iuml w ] uacute_^J^ Uiquest ~vIacuteo|odUpaumltushyl not vipqo4v 4tu not ldP|m4oo4uml Iumlh=Icircifrac14dOumlIgravefrac14draquodegmacriexclampfrac14dfrac12frac12RIumlatildeAtildeAacuteIcircsup1frac14draquoiquestdIumlplusmn] uacute4^z^|ugrave iquestU` oAringIgrave(Atildecedilsup1Agravefrac14dfrac12Ufrac14frac12ordm|Aumldcedilsup1currenAacuteIcircIgrave(AEligWOgraveuAumldcedilOumlcedilAuml|Oumlifrac14ordmnfrac14ZAacutesup1raquoordmsup1raquoLAacuteAtildecedilwOgraveRfrac14Agrave5Atilde5AElig_]Jiexclampfrac14dIgrave(sup1frac12currenAacuteAuml|raquoEumldnfrac14dAgrave5AumldEacute~sup1

AtildeecircLAringifrac14Aacutesup1Aumldraquo~AElig-frac14draquoiEcircAgraveAuml|raquo~AEligwAtilde cedilAcirc|frac14ZAacutesup1Aumldraquo(frac12frac14CcedilgAElig_aIuml poundUodUp4Pl|]oqEgraveyen$t lv pv rRtcl| voshyv rRp~ iquest uacute4Uuacutey~uacute x uacute IumlatildeAtildeAacuteIcircsup1frac14draquoiquestAdIuml] uacute4^J^ xiquest kWvndvB]v r j v rregod IumlcurrenhEgravefrac14dIgraveNtildeEacutecedilsup1EcircordmdAtilderaquosup1AcircPIumlAfecedilAtilde5AEligwAElig5Iumlatildesup1Ecirc~Ecircsup1ecircUsup1Riquest4bIumliquest_yenNtildeIumlBfrac14Aring~Ocirc5sup1Gsup2AtildecedilAtilde|iquestagraveyIumlETHWfrac14draquoraquo~Atilde5raquoUEacute~frac14dAring~IgraveUacuteiquest5frac14draquo~EcircNtildeatildePIumlregPAring~Agrave4UgravenAtildecedil4] uacute_^J^ xUiquestE`currenagravegcedilAtildefrac149frac14draquoiEcirc$frac12Atilde5raquoordmdAacuteIcircyIgrave(sup1raquoEuml

sup1Igrave(sup1Ocirc5sup1raquoordm sup3iAumlCcedilgAEliggOgraveuAumldcedilAEligwIcircifrac14OumlPAtildeyAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo13aIuml xQ|||~pwl~ lnrRtcodoOtildex4shyl not vsectEgravepwo4v tu notordf v Ew iquest qEz+yqzqE Iumlyen=AtildeOcirc5Ocirc5sup1RiquestagraveyIumliquest5agrave0Iuml5ETHEgraveAEligfrac14dsup1Riquestfrac14draquo~Ecirc$agrave0Iuml Ucirc sup1frac12frac12AEligwUgraveLfrac34] uacute4^z^J^ iquestJ` agraveaeligAEligqAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12Ufrac14dOumlOumlcedilAumlnfrac14Agrave IcircampAacuteAumlgAEligwraquo~frac14dUgravenAtilde5AElig]OgraveuAumlcedilWEacutesup1Igrave(AumlUEcircfrac14dfrac12frac14draquoiEcircAacutewcedilsup1Igrave(AumlUEcirc~frac14frac12isup1Igravefrac14dordmdAtildecedilwfrac34aIumligraveraquo13] x4rv p ildrRtcodil|eodv pwv P4vyodx4shyl not vgsectpqo v tu not IumlAb$AumldEacutePAtildednfrac14dOuml~frac14draquoIumlreg]IcircUAringiquest]atilde]Iumlfrac14raquoiEcircaumlagrave0Iumleyen=Aringsup1frac12frac12AtildeJ] uacute_^J^ xUiquestpound` szlig9Atilde5ordmdsup1AumldraquotimesAgrave5AumldIgrave(OumlPAtildeAacutesup1currenAacutesup1Auml|raquo13]iAring~raquo~sup1currenOgraveYacutefrac34sup1raquoordmiexclAEligwraquo~frac14dUgravenAtilde5AElig5iquestPcedilAtildeordm|sup1Auml|raquoTordmdcedilAumlCcedilgsup1raquo~ordmiquestfrac14draquoiEcircZEgravefrac145frac34LAtilde5AEligacute|aacuteTHORNOgraveregAumldcedilIgraveFAring~frac12currenAacutesup1Eacuteifrac14raquoiEcirc sup1Igravefrac14ordm|AtildeTAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo13aIuml xQ|||micro~pwld lnrRtcodtimesosect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4v Icent iquesteJ q+yU^dugrave|ugrave Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfo

i $amp)(+-)013021+345627893lt=gt9A6CBfrac12OcircacuteIshyNT

frac12OcircacuteIltNTpara frac12frac34EMeJaumlQcYZYZjJUacuteQsY H [ ^QEgraveJLhZJUO H QcN H J H MeJordfXiacute[]fcfR[WQcO[Oslash^e[]ZaringNPQsOXiacutejOb H QR[]ONPfdaringocirc|adOuml times jOcircaacute uuml times a2atildeltszligaumlgtszliglOuml times j atilde auml

G QsObnJ H MJeumlYZJ H [SXIacuteNPfcfUacute^e[]ZaringNPQsOYMNPY Oe[ H N Y H hjb H jhZJ`[SXUPJUb H [PhQcNPfOtildeYZKNPbnJSefRJ H jYZ N`PJ H MeJeumlhZJ[]QR[]OYJUP[]fVUPJ H MehZ[]j[]M NrXqNSZaringQcfVm [SX H hNPOYYX[PhlZ N H QR[]OYa(|aagraveszlig jj emiddot iacuteaumlYlZOslash[[ H MaNPO^ centQ ~JUb H QVUPJS^ not [PhNOslashKEgrave[]QcO H $ aacute atildeshyszligaumlN eFWFJTOe[ H JSaring$ aagravej|aacutemiddot|aagraveszlig $ j WiexclQ H M |a s szlig $ jaacute $OumlcopytimesaagravejOcircaacutemiddot|aagraveszliglOumlutimesdj WiexclQ H M |a s szliglOumlcopytimesAjOcircaacuteAumlOumlutimes9J H jY H MeJUO^JOeJ H MeJordfUPJUfR[WbLQ H moUPJUb H [PhdY JUfs^kfrac12 YZjbM H MN H aringfrac12sup1aagraveszlig $ aagravejj|aacute aelig |aelig agrave aagraveszlig $ j YlaquoXiacuteNiharingNPY H MeJ bn[]ZOslashKj H N H QR[]O[SX H MeJ ^eJLhQU~N H QVUPJ QcYOslashbn[]ObnJLhOeJU^OeWFJNihZJQcOWVH JLhZJUY H JU^ QcO YYZaringNPfcfOtilde^JX[PhlZ N H QR[]OY^ J H MBjYJkWKNPO^ H MeJ H hNPOYX[PhZaringN H QR[]ONPbLbn[Ph^QcO[ H [hdY H [Ph^eJLh NmWfR[PhyacuteXiacute[PhlZtimesjfcNaring|aagraveszlig $ jpoundaacuteAElig|a s szlig $ j agrave aelig |aelig agrave a s szlig $ jaacute $ ragrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacute frac14 frac14 a s szlig $ j^ J H MeJUOQcO H hZ[W^jbnJ H MehZJLJgZ NPQcO^eJOQ H QR[]OYaringf^QMeJg0jfRJLhQcNPO^eJLhQU~N H QVUPJOtilde[SXocirc|adOuml times jordfaqQcO H MeJIacute^QRhZJUb H QR[]O[SXcedilfrac12jaring ocirc|adOumlcopytimesszlig_frac12jOcircaacutefcQZUcedil iacute ocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave admacrfj ^QMeJgZaringN H JLhQsNPfg^eJLhQVUiN H QVUPJOtilde[SXuumlStimesYa $ szliglOumlcopytimes)jaringsup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j|aacutefcQZUcedil iacute uumlStimesa $ ragrave3frac12ba $ jszliglOumlutimes agrave3frac12sup1a $ jj uuml]timesa $ szliglOumlcopytimesdjagrave admacr j^QMeJaumlYZMNiKEgraveJOtilde^eJLhQU~N H QVUPJOtilde[SXOcircuuml]timesa $ szliglOumlutimes)jaring

uumlnotraquotimes a $ szliglOumlcopytimesUcircszlig_frac12 jaacutefcQZUcedil iacute uumlStimesYa $ szliglOumlutimesragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave admacrS]j

uumlnyacutenthornnyumll13YSordmY_Fordfy

yenKbrvbarsect =4 acirc $ hq centUWQR[]jYZfVmSe-centmaJkBKNPO^QcO[ admacr jUacuteNPbLbn[Ph^QcOF[ H [hdY H [Phd^eJLhordfNmBfR[PhordfXiacute[PhlZtimesjfcNeWFJaumlMNUPJSaring sup1uumlStimesYa $ szliglOumlcopytimesUcircszlig_frac12 jaacuteAumluumlnotraquotimes a $ szliglOumlcopytimesszlig_frac12jhuumlStimesa $ szliglOumlcopytimes)j frac12sup1a $ j admacrj J H MeJUOabn[]ZOslashK-j H JZOslash[PhJaumlKhZJUbLQcYZJUfVm H MJ0jfRJLhQcNPO ^eJLhdQVU~N H QUPJauml[SXcopyocirc|adOumlcopytimesdj^ JMNUPJSaringocircOcircadOumlutimesaagravejj ocircOcircadOumlutimes)jagrave aacute fagrave = thorn yuml uuml times a $ aagravejszliglOuml times aagravejj $ uuml times a $ szliglOuml times j $ FH admacrSmacr]j5O H MJohY H QcO H J[PhdNPfdeltWFJZaringN`PJ H MeJU~NihdQcNicentfRJ bMNPO[PJ $ aagravejaacute $ agrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacuteethicirc7a2atildeshyszligaumlFjszligicirc cent a2atildeltszligaumlj eWMQcbdM[]QVUPJUYaring thorn yuml uuml]timesYa $ aagravejszliglOumlcopytimesYaagravejj $ aacute admacrS]j

5 uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlutimes agrave3frac12sup1a $ jjlt^eJ H ocirc a $ jlt $WMJLhZJocirc a $ jQcY H MeJgXiacute[]fcfR[WQcO[aringSNPbn[PcentQcNPOtZaringN H hdQkKaring

ocirc a $ jaacute oacute fcedilxagrave frac14 iacute oslashfrac14Uordm agrave frac14 iacute oslashfrac14 ugraveagrave frac14 iacute acircfrac14ordm fcedil agrave frac14 iacute acircfrac14 ugrave ocircNPO^ YZ[eFWNtildeJIacuteMNUPJSaring

^eJ H ocirc a $ jOcircaacute fUragravee^QVUKafrac34frac12sup1a $ jjragrave cent ^eJ H amacr frac12sup1a $ jjMJUOWNtildeJauml[Pcent H NPQcOOaring

fsQZcedil iacute ^eJ H ocirc a $ j fagrave aacute ^QVUKafrac34frac12sup1a $ jj admacr]zSjMJJBjN H QR[]OxadmacrSmacr]j H MeJUOcent=JUbn[]ZaringJUYaringocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave aacute fagrave middot uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jjlt 13raquo ocirc a $ jlt $ uumlStimesa $ szliglOumlcopytimesAj $ admacrSi]j JTbLNPO`YZjeKKEgrave[]YJ H MN H ^eJ H aocirc a $ jjfrac14aacute sfrac12 agrave frac12 $ ^ JZaringNm H MeJUO H N`PJ^eJ H aocirc a $ jjfrac34 s eNPO^ WNtildeJ ^eJUPJUfR[PK H MeJaJkWKhZJUYYZQR[]OadmacrSi]j NPYoX[]fsfR[WQsO[centmNP^^QcO[aringN H JLhZ QcO H MeJIacuteYZJUbn[]O^aQcO H J[PhNPfltWMQcfcJaumlYZjeKKhJUYZYZQcO[ H MeJtimesYZNSZOslashJ H JLhlZQcO H MJordfhY H QcO H J[PhNPfdaring ocirc|adOumlcopytimesYaagravejj ocirc|adOumlcopytimes)jagrave aacuteegraveOtildef1rOtilde cent admacrSh]j

uumlnyacutenthornnyumll13YSordmY_Fordf

s $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJSaring

Otilde aacute uuml]timesa $ ragrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave ^eJ H aocirc a $ jj $ ad s jOtilde cent aacute uuml]timesa $ szliglOumlcopytimesdj ^eJ H aocirc a $ jj fagrave $ adfj

9J H jY_ZaringN`PJordmagrave H JUO^ H [WNih^Y s ^curreniquestYZQcO[frac34admacrjiexclNPO^JOQ H Qc[]OYadmacr e macrS]jeWFJ[PJ H aringfcQZUcedil iacute Otilde aacute sup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j $

aacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ uuml times a $ szliglOuml times j frac12sup1a $ j $fcQZUcedil iacute Otilde cent aacute uuml]timesa $ szliglOumlcopytimesdj^QVUKafrac34frac12 j $

O^ Y[Xiacute[Ph H MeJgNtildejfRJLhQsNPO ^eJLhQVUiN H QVUPJSeWFJgO^Oaring ocirc|adOuml times szlig_frac12jumlaacuteyacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ amacrreguumlStimesYa $ szliglOumlcopytimes)j frac12sup1a $ j7 uuml]timesYa $ szliglOumlcopytimes)j^QVUKafrac34frac12sup1a $ jjj $aacute uumlnotraquotimes a $ szliglOuml times szlig_frac12j $ ^QVUKaduuml times frac12j $ ad j

MeJUO NiKKfVmWQcO[ H MJ hJLJUOWVAQRJZ NPOO H MeJL[PhZJZQcO ad jeWNtildeJ5ONPfcfmtimes[Pcent H NPQcOOaring ocirc|adOumlcopytimesszlig_frac12jOcircaacute uuml raquotimes a $ szliglOumlcopytimesUcircszlig_frac12j $ uacutefrac14 5 uuml]timesYafrac34frac12 eacuteAgraveiquestsup1AacuteAtildeAcircj THORN adS]jWMJLhZJ5eacuteAgraveiquestsup1AacuteAtildeAcircyQcY H MeJUacutejOQ H QcOOgraveWNih^ Oe[PhlZaringNPf H [ aelig OumlcopytimesUcirc^MeJ_NtildejfRJLhQcNPO ^eJLhQVUiN H QVUPJQcY(O[ H JU^ ocirc raquo aagravej(QcO H MeJaumlKNiKEgraveJLhNPO^ H MeJaumlYZMNiKEgraveJauml^eJLhQU~N H QVUPJyuuml raquotimes QcY(Oe[ H JU^ frac14 frac14 ^iquest acutemicrosup1cedilFLft not [PhyYQZOslashKfcQsbLQ H mSeWNtildeJ(bM[[]YJ H MeJcopyXiacute[]fcfR[WQcO[_U~NihQsN H QR[]OaeligQcO H MeJKhZ[B[SXaring$ aagravejaacute $ agrave3frac12sup1a $ j^MJiexclKh[[SXZaringNm NPfcYZ[IacutecentEgraveJiexcl^JUPJUfR[PKEgraveJU^WiexclQ H MZaring[PhZJ_[PJUOJLhNPfUiNihQcN H QR[]OYFYjbM NPYaring $ aagravejaacuteAacuteAgravea $ szligYagravejWQ H MAcircAgrave`NOslashYYZOslash[B[ H MXiacutejOb H QR[]ONPO^AcircAgravea szligYagravejcentQ ~5JUb H QVUPJS^

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ ffrac12OcircacuteIshyNT AcircE J(MNUPJ H [Otildebn[]ZOslashK-j H J H MJNtilde^QEgraveJLhZJUO HH JLhZaringY9[SXQa macr]j9QsOauml[Ph^eJLh H [Uacute[Pcent H NPQcO H MeJ

JUP[]fcj H QR[]OJBjN H QR[]O[SX H MeJ NPb H QUPJ bn[]O H []jehX[Ph H MeJ ^JUYZbnhQRK H [PhdYaumlcentNPYJU^Oacute[]OH MeJ(bn[U~NihQsNPObnJ ZaringN H hQVktimes^eJ H JLhlZ QcONPO H a2Ograveh]j^OgraveMeJ(bn[]ZOslashKj H N H QR[]OaringQcYampKEgraveJLhYXiacute[PhlZOslashJU^Xiacute[Ph H MeJIacute^eJUYZbnhQRK H [Ph_uuml thorn timesOslash yuml ^ q centUWQR[]jYZfmSeN YZQZ QcfcNihbn[]ZOslashKj H N H QR[]OabLNPOacent=JIacute^e[]OeJXiacute[PhOcircuuml thorn UgraveUcircUacuteUuml yuml ^ JiexclbLNPOaeligJkBKhJUYZYOcircuuml thorn timesOslash yuml NPYyNUacutebn[]ZTcent-QcON H QR[]Oaelig[SXgtXiacutejOb H QR[]OYamp^eJLKEgraveJUO^QcOF[[]O H MJOtildehZJ[]QR[]OwOuml timesOslash aring

uumlgtthorn times Oslash yuml a2atildeltszligaumlgtszligYagravejaacute`Ograveoacute m thorn timesOslash yumlaIgraveagrave thorn timesOslash yumlAtilde j cent ocirc adjWMJLhZJordmaacuteAuml85eWiexclQ H MAring8 H MeJordfXqjOb H Qc[]O QcO H h[B^jbnJU^ QcOpounda2Ograveh]je-NPO^aringm thorn timesOslash yuml aacute agrave thorn timesOslash yuml agrave thorn timesOslash yumlcent agrave thorn timesOslash yuml agrave thorn timesOslash yumlAElig agrave thorn times Oslash yumlCcedil agrave thorn timesOslash yumlEgrave agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlEgrave j cent agrave thorn times Oslash yumlcent aIgraveagrave thorn timesOslash yumlCcedil j cent agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlAElig j centWQ H MOaring EFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFH

agrave thorn timesOslash yuml aacute w$ thorn yuml aOtilde S times Oslash j cent atilde aumlagrave thorn timesOslash yumlcent aacute w$ thorn yuml aOtildeOgravecent Scenttimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yuml aacute w$ thorn yuml aOtildeS Stimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yumlAElig aacute w$ thorn yuml aOtilde S times Oslash jaOtildeOgravecent ScenttimesOslash j atilde aumlagrave thorn timesOslash yumlCcedil aacute w$ thorn yuml aOtilde S times Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlEgrave aacute w$ thorn yuml aOtilde cent S centtimes Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlAtilde aacute w$ thorn yuml atilde auml O^ Y[ H MJordfXiacutejOb H QR[]OY aelig thorn timesOslash yumlauml MNUPJ H MeJgXiacute[]fcfR[WiexclQcO[aeligJkBKhZJUYZYZQR[]OYaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

aelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlcent aacute aOtilde cent S centtimesOslash j centaelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlAElig aacute aOtilde S timesOslash jaOtilde cent S centtimesOslash jaelig thorn times Oslash yumlCcedil aacute aOtilde S timesOslash jaOtilde S timesOslash jaelig thorn times Oslash yumlEgrave aacute aOtildeOgravecent ScenttimesOslash jaOtilde13 StimesOslash jaelig thorn times Oslash yumlAtilde aacutemiddotf

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBnot h[]Z H MeJUYJaumlJkWKhZJUYYZQR[]OYeWFJOtildeJUNPYZQcfm ^eJU^jbnJ H MN H aring

$ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde aumlregaacute sEacutefrac12poundEcirc iuml

J H MeJUO MNUPJ H [Tbn[]ZaringKj H J H MeJ H JLhlZaringY eacute thorn times Oslash yumlauml XiacutehZ[]Z H MeJJkWKhZJUYZYQR[]OYamp[SXagrave thorn timesOslash yumlauml eWMQcbM fRJUNP^Y H [aringEFFFFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFFFFH

eacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideoslash aacute w$ thorn yuml uacute ouml $ordfdivideacirc uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIgrave yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H a timesOslash jjeacute thorn timesOslash yumlcent aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideacirc

aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIcirc yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideEuml aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideacirc thorn thorn uacute ouml $_divideIuml yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yumlAElig aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIuml aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideEuml uacute ouml $ordfdivideIuml thorn uacute ouml $_divideIcirc uacute ouml $ordfdivideIgrave yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlCcedil aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIcirc aacute w$ thorn yuml cent thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideacirc uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlEgrave aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIgrave aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideoslash uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlAtilde aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIacute aacute w$ thorn yuml thorn +ETH ouml $_dividethorn uacute ouml $ordfdivideIacute yuml Iuml 8 raquo aq^J H a timesOslash jj

O^centmJkWKhZJUYZYZQsO[ H MeJbn[UiNihQcNPObnJZaringN H hQVkpoundWQ H M H MJregXqjOb H QR[]OYagrave thorn timesOslash yumlauml NPYXiacute[]fcfR[WQcO[aring

timesOslashlaquoaacute 1NtildeNtildeNtildeNtildeNtildeNtilde3uacute ouml $ordfdivideoslashuacute ouml $ordfdivideIacute uacute ouml $_divideIumluacute ouml $_divideIacute uacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIumluacute ouml $ordfdivideIacute uacute ouml $_divideacircuacute ouml $_divideIacute uacute ouml $ordfdivideIgraveuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacute uacute ouml $_divideIgraveuacute ouml $_divideIacute uacute ouml $ordfdivideEumluacute ouml $ordfdivideIacute

6OgraveOgraveOgraveOgraveOgraveOgrave7 J H MJUO^eJU^jbnJSaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

eacute thorn times Oslash yuml aacute a fj thorn yuml ^eJ H aDC Ptimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlcent aacute a fj thorn centcent yuml ^eJ H aDC centcenttimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yuml aacute a fj thorn curren yuml ^eJ H aDC 4times Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlAElig aacute a fj thorn cent yuml ^eJ H aDC centtimes Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlCcedil aacute a fj thorn curren yuml ^eJ H aDC times Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlEgrave aacute a fj thorn centcurren yuml ^eJ H aDCcent4times Oslash j48 raquo aq^eJ H a timesOslash jjeacute thorn times Oslash yumlAtilde aacute amp^eJ H a timesOslash j48 raquo aq^eJ H a timesOslash jj

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ SWMJLhZJC EBtimesOslash QcY H MeJgZaringN H hdQk ^eJU^jbnJU^Xh[]ZOacutetimesOslasharingcentm YZjeKKhZJUYZYZQcOF[ H MeJyuuml UumlON hZ[WNPO^ H MJ I UumlON bn[]fcjFZaringOO^]MeJbn[]ZOslashKj H N H Qc[]OordmX[Ph H MeJ^eJUYZbnhdQRK H [Ph|uuml thorn UgraveUcircUacuteUuml yuml QcYyYQZaringQcfcNihNPO^WFJ H MeJUOOslashMNUPJNPfcf H MeJ(JkWKhZJUYZYZQc[]OY H [aumlbn[]ZOslashKj H J H MeJJUP[]fcj H QR[]OaeligJjN H QR[]OXiacutehZ[]Z H MeJg[PJUOJLhNPfOXiacute[PhlZIacutejfcNta macr]j^gtMQcYcopy[]QVUPJUY H MeJTJUP[]fcj H QR[]O JBjN H QR[]Osup1admacr s j^

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBΩ out

Objects

Γ

inΩ

inΩ

Background Part

-t not Upv copy ETHEgraveIcircAtildeampAacuteiacuteCcedil=AumlFcedilAtilde5ordm|sup1Aumldraquo~AElig9AumldOgravefrac14raquoUacutesup1Igravefrac14dordm|Atilde

Ω

Ω out (τ)Ω

(τ)in

N

Γ(τ)

Ω

N

v

w

N

-t not Upv ETHEgraveIcircAtildeyEcircAumldIgravefrac14dsup1raquo~AEliggfrac14raquoiEcircAacuteIcircAtilde$AcircnAtilde5AgraveAacuteAumlcedilAEliggsup1raquoUAcircnAumldfrac12AcircnAtildeEcircsup1raquoiexclAacuteIcirc~Atilde$EcircAtildecedilsup1Acirc|frac14ZAacutesup1Aumldraquo

uumlnyacutenthornnyumll13YSordmY_F2ordf

yenKbrvbarsect =4 acirc $ Smacr

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 Atilde|IumligraveAacuteAtildecedil4frac14ZAacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvyzU eacuteWsup1ordm|AringcedilAtilde5AEligfrac14iquest Eacuteiquest AgraveJ]iUumlAcircnAumldfrac12AringAacutesup1Auml|raquoOtildeAumlOgraveeAacuteIcirc~Atildeyfrac14dAgrave Aacutesup1Acirc|Atilde0AgraveAuml|raquoLAacuteAuml|AringcedilIgravefrac14raquoifrac14ordm|AtildeEcircUacuteEacuteLfrac34AacuteIcirc~AtildefTHORN$Uuml v qzqwsup1raquo~Agrave5frac12AringiEcircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquoifrac14frac12ampAacuteAtildecedilIgrave(AElig5IumlgeacuteWsup1ordm|AringcedilAtilde5AEligOtildeEcirc]iquest Atildediquest Ograve] g sup1AEligwAringifrac14frac12sup1Ocirc5frac14Aacutesup1Auml|raquo`AumldOgrave0AacuteIcirc~AtildeTAgrave5AumldcedilwcedilAtilde5AEligwOumlPAumldraquoiEcircsup1raquoordmAcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 OgraveuAring~raquoAgraveAacutesup1Auml|raquosup1raquo~Agrave5frac12Aring~Ecircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquo~frac14dfrac12ampAacuteAtildecedilIgrave(AEligraquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirc EacutePAtildeAacuteiacuteCcedil=Atilde5Atilde5raquo ugrave frac14draquoiEcirc divide JUiquestAEligwAring~Agrave4IcircTAacuteIcirc~frac14Aacute$AacuteIcircAtilderaquo~Atilde5ordm|frac14Aacutesup1AcircnAtildeAcircdfrac14dfrac12AringAtilde5AElig0frac14cedilAtildefrac12AumlCcedilEgraveAtildecedilyAacuteIcirc~frac14draquo uacutedivide Uacutefrac14raquoiEcircaumlAacuteIcirc~AtildeOumlPAumldAEligwsup1Aacutesup1AcircnAtilde(Aumldraquo~Atilde5AEligyfrac14ZcedilAtilde(Icirc~sup1ordm|IcircAtildecedilAacuteIcircifrac14raquo uacuteZdivide Iuml

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

Ecirc]Iumligraveraquo~sup1currenAacutesup1frac14dfrac12BAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 Atilde|IumligraveAacuteAtilde cedil4frac14Aacutesup1Auml|raquo ugravedugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not Upv ucirc eacuteWsup1ordmdAringcedilAtilde5AEligtimesfrac14iquest Eacuteiquest AgraveJ]ampUumlAcirc|Auml|frac12AringAacutesup1Auml|raquoAumlOgrave(AacuteIcirc~Atildearingfrac14AgraveAacutesup1AcircnAtildeOslashAgrave5Auml|raquoLAacuteAumldAringcedilIacuteIgravefrac14draquoifrac14ordm|AtildeEcirc`EacuteUfrac34AacuteIcircAtildeOcircfTHORN$Uumlv q w iquestiexclCcedilgsup1currenAacuteIcirc~AumldAringAacuteAacuteIcirc~Atildefrac14dEcirc~Ecircsup1Aacutesup1Aumldraquoifrac14dfrac12TAacuteAtildecedilIgrave(AElig5IumliexcleacuteWsup1ordm|AringcedilAtildeAElig Ecirc]iquest Atildediquest Ograve] g sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo AumlOgraveaeligAacuteIcirc~AtildeAgraveAumldcedilwcedilAtildeEumlAEligwOumlPAuml|raquo~Ecircsup1raquo~ordm AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 OgraveregAring~raquo~Agrave Aacutesup1AumldraquoeumlCcedilgsup1currenAacuteIcirc~Auml|AringAacuteIacuteAacuteIcircAtilde frac14|Ecirc~Ecircsup1currenAacutesup1Aumldraquoifrac14frac12FAacuteAtildecedilIgrave(AElig v raquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirceumlAEligwAring~Agrave4Icirc AacuteIcirc~frac14AacuteIgravefrac14icirc vOOtilde wpOumldivide z w Iuml

uumlnyacutenthornnyumll13YSordmY_F2

S $amp)(+-)013021+345627893lt=gt9A6CB

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIumligravesAacuteAtildecedil4frac14Aacutesup1Aumldraquogt ugrave|ugrave AgravedIumlieacuteWsup1raquoifrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12Acirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 AtildedIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIumlieacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvtimesLg sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo(AumldOgravePAacuteIcirc~AtildeAtildeAcircnAuml|frac12AringAacutesup1AumldraquoAumldOgravePAacuteIcircAtildeEgraveAgrave5Auml|raquoLAacuteAumldAringcedil-frac14draquo~EcircNtildeAacuteIcirc~AtildeEgraveAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 v Ccedilgsup1AacuteIcircAuml|AringAacuteAacuteIcircAtildeEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircFAacuteAtilde cedilIgrave w OgraveregAumldcedilEgraveAacuteIcircAtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoAumlOgraveAacuteIcircAtilde9Ograveufrac14dAgrave5AtildeAring~AEligwsup1raquo~ordmyAacuteIcirc~Atilde9Agrave5AumlZAcirc|frac14Zcedilsup1frac14draquo~AgraveAtildeIgravefrac14Aacutewcedilsup1currenicirc]Iuml

frac14Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcircnAtilde EacuteIumligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 v AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde w Agrave|Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacutefrac34 v Acircdfrac14cedilsup1frac14draquoAgrave5Atilde w-t not Upv h=AumldIgrave(Oumlifrac14cedilsup1AEligwAumldraquoOtildeAumldOgraveAacuteIcirc~Atilde$sup1raquo~sup1currenAacutesup1frac14dfrac12eAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34iexclAgrave5Auml|Igrave(OumlAringAacuteAtildeEcircAringAEligwsup1raquo~ordmAacuteIcirc~Atilde$AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde0Igravefrac14Aacutewcedilsup1currenicircv iordmdAringcedilAtildeFEacute w AacuteAumliexclAacuteIcircAtildeAuml|raquoAtildeFAgrave5AumldIgrave(Ouml~AringAacuteAtildeEcircTAringAEligwsup1raquo~ordmiexclAacuteIcircAtildeFAcircdfrac14cedilsup1frac14draquoAgrave5Atilde v ~ordm|AringcedilAtildeFAgrave w OgraveregcedilAumldIgrave AacuteIcirc~AtildeNtildeAEligfrac14dIgrave(Atildesup1raquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcirc|Atilde v iordmdAringcedilAtilde$frac14 w Iuml

uumlnyacutenthornnyumll13YSordmY_F2_a

yenKbrvbarsect =4 acirc $ ]z

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv Oslash| THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5AtildeccediliacuteAtildecedilsup1UgraveUegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_o

Si $amp)(+-)013021+345627893lt=gt9A6CB

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv ordf THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5Atildeccedilqfrac14dUgraveUsup1currenfrac34LAumldegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_y

RR-0114-SJEHANpdf
  • wwwi3sunicefr
    • httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf
Page 24: LABORATOIRE INFORMATIQUE, SIGNAUX ET SYSTEMES DE …mh/RR/2001/liste-2001.pdf · 2002. 6. 27. · [Dir01] DIRAT L. “Outils pour des Mathématiques Interactives et Distribuées”

f $amp)(+-)013021+345627893lt=gt9A6CBH [ H MJOtildeJUP[]fVUBQsO[OslashhZJ[]QR[]OY_OumlcopytimesOslashKaagravejF[Ph_Ouml UgraveUacuteUuml aagravejaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejpoundaacuteAElig thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn timesOslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejszligiumlViumlViumlVszligagrave thorn timesOslash yumlaacute aagravejjuuml thorn UgraveUcircUacuteUuml yuml a2atildeshyszligaumlKszligYagravejpoundaacuteAElig thorn UgraveUcircUacuteUuml yuml a2atildeltszligaumlgtszligagrave thorn UgraveUcircUacuteUuml yuml aagravejszligagrave thorn UgraveUcircUacuteUuml yumlcent aagravejszligiumlViumlViumlVszligagrave thorn UgraveUcircUacuteUuml yumlacirc aagravejjafi]j

WMJLhZJSaring agrave thorn(atilde yumlauml aacute 7aring thorn yuml5aelig thorn(atilde yumlauml a2atildeltszligaumlgtszligYagravej atilde auml WQ H Mpounda jOcircaacuteacircaVltjF[Pha Kf5 jiuml afh]j9J H jYuhY H bn[]ZOslashKj H J H MeJIacute^eJLhQVUiN H QVUPJOtilde[SXuuml thorn timesOslash yuml eFWFJgO^Oaring

aelig uuml thorn times Oslash yumlaelig agrave aacute aacuteccedilaumlegrave aelig thorn timesOslash yumlaelig agrave thorn times Oslash yumlauml a2atildeltszligaumlgtszligagrave thorn timesOslash yuml aagravejszligiumlViumlViumlVszligagrave thorn timesOslash yumlaacute aagravejj aelig agrave thorn timesOslash yumlaumlaelig agrave aagravej a s j J MNUPJOe[W H [bn[]ZOslashKj H J H MeJ ^eJLhdQVU~N H QUPJ [SXagrave thorn timesOslash yumlauml NPbLbn[Ph^QcO[ H [umlagrave^ JNiKK-fVm H MeJgMeJL[PhZJZigravefaumlNPO^WNtildeJy[PJ H aring

aelig agrave thorn timesOslash yumlaumlaelig agrave aacute $ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde auml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacutej THORN a fj

JLKfcNPbLQcO[ H MeJNtilde^eJLhdQVU~N H QUPJUY9[SX3agrave thorn timesOslash yumlauml WQ H M H MeJUQRhJkWKhZJUYZYZQc[]OYa fj9QcOa s jeSWFJ[Pcent H NPQsO H MJXiacute[]fcfR[WQcO[iexclJkBKhJUYZYZQR[]OX[Ph H MJF^e[]Z NPQcOaeligQcO H J[PhdNPf[SX H MeJ^eJLhQVUiN H QVUPJ[SX H MeJT^eJUYbnhQRK H [Ph uuml thorn times Oslash yuml aring

$ thorn yuml aelig uuml thorn timesOslash yumlaelig agrave atilde aumlacircaacute aacuteccedilaumlordfegrave -eacute thorn timesOslash yumlauml $ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde auml

aacuteccedilaumlordfegrave eacute thorn timesOslash yumlauml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacuteHj THORN a S jWMJLhZJSaring

eacute thorn timesOslash yumlauml aacute $ thorn yuml aelig thorn timesOslash yumlaelig agrave thorn timesOslash yumlauml a2atildeltszligaumlgtszligagrave thorn timesOslash yuml aagravejszligiumlViumlViumlVszligagrave thorn times Oslash yumlaacute aagravejj atilde auml a ]jMJIacuteJkWKhZJUYZYQR[]OwXiacute[Pha jyacuteaacute a Kf jiexclQcYbn[]ZOslashKj H JU^QsO H MeJaeligYZNSZOslashJordmZaringNPOOeJLhiexclWMQcfRJKNmBQsO[N HH JUO H Qc[]O H [ H MeJ`^QRhZJUb H QR[]O[SX H MeJ`Oe[PhlZaringNPfcopyUPJUb H [PheNPO^rWFJ H MBjY

uumlnyacutenthornnyumll13YSordmY_Fsup2

yenKbrvbarsect =4 acirc $ fmacr[Pcent H NPQsO H MeJg[PJUOeJLhNPfgJkBKhJUYZYZQR[]OXiacute[Ph H MeJauml^JLhQVUiN H QVUPJOtilde[SXocircOcircaagravejaring

ocirc raquo aagravejumlaacute uacuteucirc thorn yuml aduumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn times Oslash yuml uumlgtthorn otilde)yuml d hreguumlgtthorn otilde)yuml eacuteHjaeuml eacutej THORN aacuteccedilaumlordfegrave eacute thorn timesOslash yumlauml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacuteHj THORN acircccedilaumlordfegrave eacute thorn UgraveUcircUacuteUuml yumlauml uacuteucirc thorn yuml aelig thorn UgraveUcircUacuteUuml yumlauml aeuml eacutej THORN aacuteccedilaumlordfegrave -eacute thorn timesOslash yumlauml $ thorn yuml aelig aelig thorn

timesOslash yumlaumlaelig agrave atilde auml acircccedilaumlordfegrave eacute thorn UgraveUcircUacuteUuml yumlauml thorn yuml aelig aelig thorn

UgraveUcircUacuteUuml yumlaumlaelig agrave atilde auml a j^ ^ecirccopyEgraveEacuteshyIacuteIumlETH39shyIgrave8shyIgraveFEgraveEcirc+NtildeFETH3gt+QIgraveETHOEacute3iexclNtildeshyEgrave78QIcircETH9IgraveumlIgrave+EacuteltEumlETHshyETHEacuteshyOacuterIgrave5euml1ONtildeFETH32EacuteltOacuteEacute10wETH9Igrave Ntilde=KETH3gt+ltIgrave=EacuteshyOacuteshyETHEacute1EgraveMJ[P[]NPf[SX H MQsYampKNih H QcY H [aumlbn[]ZOslashK-j H J H MeJ(JkWKhZJUYZYZQc[]Oaelig[SX H MeJuUPJUfc[BbLQ H mUPJUb H [PheumlwWMQcbdMregZaringN`PJUY H MeJUacutebLjehYUPJJUP[]fVUPJOtildeNPYXiacuteNPY H NPYFKEgrave[]YZYZQRcent-fRJ H [WNih^Y(NZaringQcOQCZIacutejFZ[SX H MeJaeligbnhQ H JLhdQR[]Oumlocirc^KO`[Ph^eJLh H [ ^JU^jbnJ H MJyUPJUfR[WbLQ H mwUPJUb H [PhOtilde[SX H MeJaeligNPb H QVUPJbn[]O H []jehQXhZ[]Z H MeJF^eJLhQVUiN H QVUPJ0[SX H MeJNtildebnhQ H JLhQR[]OOeWFJMNUPJ H [5Z N`PJFNiKKEgraveJUNih H MeJUPJUfR[WbLQ H moUPJUb H [PhUacuteQcO H MJTfcNPY HH WNtilde[ ^e[]ZaringNPQcOaQcO H J[PhdNPfcY(centm JkWKhZJUYYZQcO[ H MeJZ NPYcentEgrave[]jO^NihYm QcO H J[PhNPfcY^FMQcYbLNPOaJUNPYZQcfVm centEgraveJauml^e[]OeJTjYZQcO[MJL[PhZJZigravefe-^[]ZaringNPQcOQcO H J[PhNPfcYbLNPOeumlNPfVWNmWYiexclcentEgraveJIacuteJkBKhJUYZYJU^ NPYcentEgrave[]jO^NihYm QcO H J[PhdNPfcY^gtiexcl[WFJUPJLheOXiacute[PhYZQCZOslashKfcQcbLQ H mSe-fcJ H jYbn[]OYZQc^eJLh H MeJaringbLNPYJUYgWMeJLhZJ H MeJUYJOslashfcNPY HH WNtilde[`QcO H J[PhdNPfcYOtildeNihZJJBjNPf H [currenLJLhZ[eOgraveWMQcbMaringMNiKKEgraveJUOYX[PhZOslash[]Y H hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhdQRK H [PhY^S5OH MN H bLNPYJSeNPbLbn[Ph^QsO[ H [ H MeJaeligQcOeJBjNPfcQ H m[SXvNPjbdMOgravemV G bdMOgraveWNih H currenSe H MeJXiacuteNPY H JUY H^eJUbnhJUNPYJa[SXocirc|aagravejOslashQcY [Pcent H NPQcOeJU^ XhZ[]Zecirca jOslashcentm bMe[B[]YZQcOF[beuml aacute ccedilyeacute WMQsbMfRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[aeligJUP[]fcj H Qc[]O JjN H QR[]OOaringaelig Yacuteaagravejaelig agrave aacuteFuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yuml uuml thorn otilde)yuml eacute aacuteccedilaumlordfegrave ETHeacute thorn timesOslash yumlauml aelig thorn timesOslash yumlauml acircccedilaumlordfegrave ETHeacute thorn UgraveUcircUacuteUuml yumlauml aelig thorn UgraveUcircUacuteUuml yumlauml lteacute a macr]jUcircX H MJ^eJUYZbnhQRK H [PhY$^e[TOe[ H ^eJLKEgraveJUO^times[]OregagravetaiacutehZJ[]QR[]OeV4QcO^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhYjeH MeJgiexcl hZJU^jbnJUY H [ H MeJordfXiacute[]fcfR[WQcO[aeligJkWKhZJUYZYQR[]OOaringaelig Yacuteaagravejaelig agrave aacuteigraveuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yumldn reguuml thorn otilde)yuml7 eacutelteacute a ]j

uumlnyacutenthornnyumll13YSordmY_FY

f $amp)(+-)013021+345627893lt=gt9A6CB JaeligbLNPO`O[ H QcbnJ H MN HH MeJtimes^eJLKEgraveJUO^eJUObnJauml[SX H MJIacute^eJUYZbnhdQRK H [PhY[]OwagraveeEgraveNPO^aY[ []OH MeJiexclbLjehYUPJJUP[]fcj H QR[]OOeQcO^jbnJUY0NP^^Q H QR[]ONPf H JLhlZaringYFQcO H MeJiexclJUP[]fcj H QR[]O JjN H QR[]O[SX H MJFNPb H QVUPJ(bn[]O H []jeh^SMeJNP^^Q H QR[]ONPf H JLhZaringYQX[]jO^IacuteQcOoa macr]jbLNPOOe[ H hZJUNP^QsfVmcentEgraveJtimes[Pcent H NPQcOeJU^ WMJUO H MeJOslash^mBONSZaringQcbLNPfampYZbMJZOslashJaringQcYOtildeQcO H hZ[W^jbnJU^eumlNX H JLh H MeJOslashbn[]ZaeligVKj H N H QR[]Oa[SX H MeJaelig^eJLhQVUiN H QVUPJaeligjYZQcO[o0jfcJLhVA9N[PhNPOF[PJIacuteJBjN H QR[]OY^MjYe-Q H QcY[SX=KhQZaringJOeJUbnJUYZYZQ H m H [TQcO H hZ[B^jbnJ H MeJ^mWONSZaringQsbLNPfeYZbMeJZaringJiexclQcO H [ H MeJbnhQ H JLhQR[]OQ H YZJUfVXiexclQcO[Phd^eJLh H [JUNPYZQsfVmsup1[PJ H H MeJUYJaNP^^Q H QR[]ONPf H JLhlZ Y QcO bLNPYJa[SXhJ[]QR[]OWV^eJLKEgraveJUO^JUO H ^JUYZbnhQRK H [PhdY^MNPO`BY H [ H MeJUYJeumlNP^^Q H QR[]ONPf H JLhlZaringYeWFJ`JUOYZjehZJH MeJordfXqNPY H JUY H JUP[]fcj H QR[]O [SX H MeJIacutebLjehYUPJ H [WNih^YiexclNZaringQcOQZIacutejZ [SX H MeJTbnhdQ H JLhQR[]OO^ JeumlbLNPO NPfcY[hZJZaringNihY` H MN H H MeJUPJUfR[BbLQ H m[SX H MeJ bn[]O H []jhQsOa macr]j bLNPOcentEgraveJ K=[]YQ H QVUPJ[PharingOeJ[]N H QVUPJS^|MQcYaeligNPO QcO H JLhZJUY H QcO[eumlKh[PK=JLh H mOacute[SXiexclhZJ[]QR[]OWVcent-NPYJU^NPb H QVUPJ bn[]O H []jehY^ q O H MeJ bn[]O H hNihYm H [ centEgrave[]jO^NihYmVcentNPYJU^7NPb H QVUPJ bn[]O H []jehdYehZJ[]Qc[]OWVcentNPYJU^7NPb H QVUPJbn[]O H []jehYOslashNPfcfR[WYZ[]ZOslashJKNih H Ytimes[SX H MeJ bLjehYUPJ H [YZMehQsO`WMQcfRJ[ H MeJLhY(JkWKNPO^O^FMjY H MeJaumlQcOQ H QsNPfcQVcurrenUN H QR[]O QcYfRJUYYbn[]OY H hNPQsOeJU^O^^ macr^iexclEacuteltIacuteETHNtildeFETHEacuteshyOacute Eacute10wETH9IgraveumlIgravesup1+shyEacuteltEumlETHETH3EacuteshyOacuterIgrave5euml1ONtildeFETH32EacuteltOacute0EacuteltEgravexIcircEacuteshyIacute5IgraveIgrave2shyNtildeshyIacuteEumlOgraveIgraveIcirclaquoEacute10C8ltIgraveIcircd=KEgrave(ETHEacuteltEgraveIcircMJu[P[]NPf[SX H MQsY$KNih H QsY H [timesbn[]ZaringKj H J H MeJiexclJUP[]fcj H QR[]O JjN H QR[]Oaring[SX H MeJNPb H QVUPJbn[]O H []jehOcircXiacute[Ph0Y[]ZOslashJ(JkeNSZOslashKfcJUY$[SX-hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhY^SgJ H jY H N`PJY[]ZaringJT^eJUYZbnhQcK H [PhY(^eJLKEgraveJUO^QsO[aelig[]O H MeJyZOslashJUNPOBSOtimesOslash [Phiexcl[]O H MeJgUiNihQcNPObnJjuFtimesOslash [SXH MeJOtildeJUP[]fUBQcOF[OslashhZJ[]QR[]OwOumlcopytimesOslashaagravejaringEFFG FFH SOtimesOslashKaagravejumlaacute iacute $ w$ thorn yuml Otilde atilde auml WiexclQ H M icirctimesOslashaacute w$ thorn yuml atilde aumlu centtimes Oslash aagravejsup1aacute iacute $ w$ thorn yuml aOtilde SOtimes OslashKaagravejj cent atilde auml^ macr^f^iumlordfcentltshyltAringordfregethIumlIgravecurrenRAringcentmicroETHfrac34IumlltlaquomicroRreglaquoNOacute]currenRlaquosectsup1jCcedilR RAringordfregL Rlaquo3shy JTbdMe[B[]YJ H MeJgXiacute[]fcfR[WQcO[OslashYJ H [SX^eJUYbnhQRK H [PhYaring

uuml thorn UgraveUcircUacuteUuml yuml ^e[BJUYOe[ H ^eJLKEgraveJUO^[]Owagraveuuml thorn timesOslash yuml aacutecntildeaLuOcenttimes Oslash j a zSjWMJLhZJampntildeaOgravejQsYNOslashKEgrave[]YZQ H QVUPJiexclXqjOb H QR[]O[SX$bLfcNPYYograve aj^MQcYiexclUPJUfR[WbLQ H mumlUPJUb H [PhOslashQcYaumlbn[]ZaringKj H JU^centmeumlhZJLKfcNPbLQsO[ H MeJ H JLhZaringYauml[SXga jgWQ H MH MeJUQch$JkBKhJUYZYZQR[]OY^ J hY H JkWKhZJUYZY H MeJ^eJUYZbnhQcK H [Ph|uuml thorn timesOslash yuml NPYyNTbn[]ZTcentQsON H QR[]O[SXamp^e[]ZaringNPQcOY(QcO H J[PhdNPfcYaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacutemiddot thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn timesOslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejjaacutecntildeoacute agrave thorn timesOslash yuml aagravejagrave thorn timesOslash yumlcent aagravejfocirc a i]j

uumlnyacutenthornnyumll13YSordmY_FPa

yenKbrvbarsect =4 acirc $ fzWMJLhZJSaring EFFG FFH agrave thorn timesOslash yuml aagravejpoundaacute w$ thorn yuml aOtildegta2atildeltszligaumlj SOtimes OslashaagravejjUcirccent atilde aumlagrave thorn timesOslash yumlcent aagravejpoundaacute w$ thorn yuml atilde auml a h]j O^ H MBjYaring aelig thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacuteacircaOtildeKa2atildeshyszligaumlFj S timesOslash aagravejjUcirccentaelig thorn timesOslash yumlcent a2atildeshyszligaumlKszligYagravej|aacute f ad s j Y5XiacuteNihaumlNPY H MeJOslash^e[]Z NPQcO`QsO H J[PhNPfsYUacute[SX H MeJOslash^eJLhQVUiN H QVUPJaelig[SX H MJXqjOb H QR[]OY aelig thorn timesOslash yumlaumlNihZJaumlbn[]ObnJLhOeJU^OeFWFJauml[Pcent H NPQsOOaringEFFFG FFFH w5$ thorn yuml frac14ltotildeouml $_divideoslashfrac14 atilde aumlordmaacute frac14ltugrave $frac14 w$ thorn yuml aOtildeKa2atildeshyszligaumlFj SOtimesOslashKaagravejj atilde aumlaacute sw5$ thorn yuml frac14ltotilde ouml $_divideacircfrac14 atilde aumlordmaacute s adfjMJ H JLhZaringY eacute thorn timesOslash yumlauml NPfcY[aringMNUPJ H [ cent=Jaumlbn[]ZaringKj H JU^OeNPO^tWNtildeJg[PJ H aringEFFFG FFFH eacute thorn

timesOslash yuml aacute w$ thorn yuml uacute ouml $_divideacircntilde raquo7ucirc uacute ouml $_divideoslashuacute ouml $_divideacircyacuteuuml atilde aumlaacutecntilde raquo aLu centtimesOslash jeacute thorn timesOslash yumlcent aacute w$ thorn yumlBthorn uacute ouml $_divideoslashthorn uacute ouml $_divideacirc yuml acirc ntilde raquo ucirc uacute ouml $_divideoslashuacute ouml $_divideacirc uuml atilde aumlregaacute u centtimes Oslash ntilde raquo aLu centtimes Oslash j

G QsObnJ H MeJOslash^e[]Z NPQcO`QsO H J[PhNPfsYiexcl[SX frac14ltotildeouml $ordfdivideoslashfrac14 NPO^ frac14ltotildeouml $_divideacircfrac14 NihZJaeligJBjNPf H [currenLJLhZ[poundadfjeWFJOtildebLNPO ^QRhZJUb H fVm bn[]ZOslashKj H J H MeJiexclUPJUfR[WbLQ H mregUPJUb H [Ph[SX H MeJOtildeNPb H QVUPJTbn[]O H []jehuXiacutehZ[]Za macr]jNPO^WNtildeJyO^Oaringaelig Yacuteaagravejaelig agrave aacuteuumlgtthorn timesOslash yuml uumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn otilde)yuml dacute uumlgtthorn otilde)yuml eacutentilde raquo aLu centtimes Oslash jaaOtilde SOtimesOslashj cent u centtimesOslash jcedilQeacute ad j5Otad jeOgraveWFJbLNPOaringhJZaringNihY` H MeJ(KhZJUYJUObnJ[SX H MJNP^^Q H QR[]ONPf H JLhlZntilde raquo aLuOcenttimesOslash jaaOtilde SOtimesOslashj cent u centtimesOslash jeacuteacirc^^ macr^ ^iumlordfcentltshyltAringordfregethIumlIgravecurrenRAringcentmicroETHfrac34IumlltlaquomicroRreglaquoNOacute]currenRlaquosectsup1jpoundn Rlaquo JTbdMe[B[]YJ H MeJgXiacute[]fcfR[WQcO[OslashYJ H [SX^eJUYbnhQRK H [PhYaring uuml thorn UgraveUcircUacuteUuml yuml ^e[BJUYOe[ H ^eJLKEgraveJUO^[]Owagraveuuml thorn timesOslash yuml aacutecntildeaOtilde S timesOslash aagravejj adS]j

uumlnyacutenthornnyumll13YSordmY_FPo

fi $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJampntildeaOgravejQsYNOslashKEgrave[]YZQ H QVUPJiexclXqjOb H QR[]O[SX$bLfcNPYYograve aj^ YKhZJUWQR[]jYZfVmSe H MeJlaquoUPJUfR[WbLQ H mfrac34UPJUb H [PhTQcYbn[]ZOslashKj H JU^eumlcentmhZJLKfsNPbLQcO[ H MJ H JLhZaringY[SXua jcopyWQ H M H MeJUQRh(JkWKhZJUYZYZQc[]OY^FMeJauml^JUYZbnhQRK H [Ph uuml thorn timesOslash yuml QcY(JkWKhZJUYZYJU^centmKaringuuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacutei thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn times Oslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejjaacutentildeoacuteOtilde agrave thorn timesOslash yuml aagravejagrave thorn timesOslash yumlcent aagravejfocirc adj

WMJLhZJSaring EFFG FFH agrave thorn timesOslash yuml aagravejpoundaacute w5$ thorn yuml Otildegta2atildeltszligaumlj atilde aumlagrave thorn timesOslash yumlcent aagravejpoundaacute w5$ thorn yuml atilde auml adSmacr]j O^ Y[aring aelig thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejOcircaacuteegraveOtildegta2atildeltszligaumljaelig thorn timesOslash yumlcent a2atildeshyszligaumlKszligYagravejOcircaacute f adS]jG QsObnJ H MeJordfXiacutejOb H QR[]OY aelig thorn timesOslash yuml NPO^ aelig thorn timesOslash yumlcent ^e[aringO[ H ^eJLKEgraveJUO^[]OtagraveeFWFJTMNUPJSaringEFFFG FFFH w$ thorn yuml frac14ltotilde5ouml $ordfdivideoslashfrac14 atilde aumlregaacute s

w$ thorn yuml frac14ltotilde5ouml $ordfdivideacircfrac14 atilde aumlregaacute s ad]zSjMJ H JLhZaringY eacute thorn timesOslash yumlauml NihZJ H MJUObn[]ZOslashKj H JU^eNPO^WFJauml[Pcent H NPQcOOaringEFFFG FFFH eacute thorn

timesOslash yuml aacute w$ thorn yuml thorn uacute ouml $ordfdivideacircntilde raquo7ucirc Otilde uacute ouml $ordfdivideoslashuacute ouml $ordfdivideacircyacuteuuml atilde aumlaacute thorn iacute $ w$ thorn yuml ntilde raquo aOtilde SOtimesOslashj atilde aumleacute thorn timesOslash yumlcent aacute w$ thorn yuml uacute ouml $ordfdivideoslashthorn uacute ouml $_divideacirc yuml acirc ntilde raquo ucirc Otilde uacute ouml $ordfdivideoslashuacute ouml $ordfdivideacirc uuml atilde aumlordmaacute ugrave $iacute $ w$ thorn yuml ntilde raquo aOtilde SOtimesOslashj atilde auml JUacutebLNPO H MeJUObn[]ZOslashKj H JUacute^QRhZJUb H fm H MJ_UPJUfR[WbLQ H mUPJUb H [Ph[SX H MeJUacuteNPb H QVUPJOtildebn[]O H []jhXiacutehZ[]Zigravea macr]j(NPO^WNtildeJyO^Oaringaelig Yacuteaagravejaelig agrave aacuteuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yumldacute uuml thorn otilde)yuml eacute aOtilde SOtimesOslashjicircFtimesOslash $ thorn yuml ntilderaquo)aOtilde SOtimesOslashjmiddotQeacute adSi]j

5O H MeJtimesKNih H QsbLjfcNihiexclbLNPYZJIacute[SXIcircntildeaOgravejuaacuteOslashScenteKWFJtimesMNUPJnntilde raquo aOgravejcopyaacute NPO^ H MeJLhZJXiacute[PhZJSeH MeJiexclNP^^Q H QR[]ONPf H JLhlZaringYebn[]ZaringQcO[gXiacutehZ[]Z H MeJ UiNihQcN H QR[]O [SX H MeJiexcl^eJUYbnhQRK H [PhYOcircWQ H MagraveeNihJJjNPf H [gcurrenLJLhZ[^[WNtildeJUPJLheWQsOordmZOslash[]Y H bLNPYZJUYe H MQsYyNP^^Q H Qc[]ONPf H JLhlZoslashQsYyOe[ H

uumlnyacutenthornnyumll13YSordmY_FPy

yenKbrvbarsect =4 acirc $ fhcurrenLJLhZ[^ not [PhaeligJkeNSZOslashKfRJSeampQVXUgraventildea]jaacute yuml Wiexcl cent eshyWiexclQ H MN`KEgrave[]YZQ H QVUPJ bn[]OY H NPO H eQWFJMNUPJSaring

ccedil aacuteFuumlgtthorn timesOslash yuml uumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn otilde)yuml uumlgtthorn otilde)yuml eacute aOtilde SOtimesOslashjicircFtimesOslash $ thorn yuml aOtilde SOtimesOslashj IcircAumlaOtilde SOtimesOslashj cent adSh]j^ ^~IacuteFEumlIgraveFIacute5IgraveFOacuteETHNtildeFETHEacuteshyOacuteAgraven13ETH9 ETH9IgraveumlEumlIgravesup1+ltIgraveFEumltIcircIgraveFETHbIacute5IgraveFETH9shyEacute18 YXqNih0NPY H MeJOBjFZOslashJLhdQcbLNPfeQZOslashKfcJZOslashJUO H N H Qc[]OtimesQsYybn[]ObnJLhOeJU^eSWNtildeJbLNPOZOslash[W^eJUf H MeJNPb H QVUPJaumlbn[]O H []jeh_WQ H MNPOJkBK-fcQcbLQ H KNihNSZOslashJ H JLhdQVcurrenUN H QR[]ObaN[PhNPO[]QcNPOXiacute[PhlZtimesjfcN~VH QR[]OKjaelig[Ph NPO QCZOslashKfcQcbLQ H []OeJraNtildejfRJLhQsNPO Xiacute[PhlZIacutejfcN H QR[]Ogtj^ G JLJra G J H MQcNPOOe5fhSh s jNPO^egraveaJUfcQcO[PJ HH J NPO^ _a[]O H N[]ON H e sSs fjX[PhaeligNPOQcO H JLhZJUY H QcO[eumlbn[]ZOslashKNihdQcY[]OcentEgraveJ H WFJLJUO H MeJ H WNtilde[ZOslashJ H M[B^Y^ iexclO[ H MeJLhOtildeQcO H JLhJUY H QcO[aringhJUBQRJW[]O H MeJtimes^Q=JLhJUO HZOslashJ H M[B^Y[SX$NPb H QVUPJIacutebn[]O H []jehQcY(Kh[PK=[]YZJU^ QcOpoundaw_[]O H N[]ON H J H NPfd^Ve sSs fj^iexclJLhZJSeWFJaumljYJ H MeJaumlfRJUPJUfYZJ H ZOslashJ H Me[W^ NiKKhZ[]NPbdM KhZ[PKEgrave[]YJU^centm q YMeJLhNPO^G J H MQcNPOa q YZMJLh NPO^ G J H MQcNPOe fhSiSi]j centj H hJ[]QR[]OWVcentNPYJU^ NPb H QVUPJeumlbn[]O H []jehdYZaringNmNPfcYZ[ centEgraveJQZOslashKfcJZOslashJUO H JU^7centmjYQcO[`XNtildeV4YK-fcQcOeJUYXiacute[PhaeligNPOJkWKfcQsbLQ H K-NihNSZOslashJnVH JLhQcurrenUN H QR[]O ayhZJUbLQc[]Y[ NPO^XNihfcNPj^Oe sSs fj^shyMJ`PJmeumlQc^eJUN [SX H MeJOslashfRJUPJUfampYJ HZOslashJ H M[B^QsY H [ QcO H hZ[W^jbnJaumlNPO`NPjkWQsfcQcNihYmXiacutejOb H QR[]O l a2atildeltszligaumlgtszligYagravejYZjbdM H MN H YacuteaagravejQcY H MJtcurrenLJLhZ[OacutefRJUPJUfYJ H [SX l ^OcircMJXiacutejOb H QR[]O l QsYaelig[SX H JUO bMe[]YJUO H [centEgraveJ H MeJYZQ[]OeJU^ ^QcY H NPObnJordfXiacutejOb H QR[]O[SXQYacuteaagraveje-NPO^ QsY H MeJUObdMNihNPb H JLhQVcurrenLJU^acentmKaring

YacuteaagravejOcircaacute a2atildeltszligaumljPO l a2atildeshyszligaumlKszligYagravejaacute s a2 s jMQcYOcirc0jfRJLhQcNPOordmXiacute[PhlZtimesjfcN H QR[]O KhZJUYZJUO H YFYJUPJLhNPfEgraveNP^UiNPO H N[PJUYga G J H MQcNPOOeKfhShS]j^not QRhY H fVmSe H MeJabLjehYUPJ l ZaringNmcenthJUN`[PhoZOslashJLhY[PJNPY H MJXiacutejOb H QR[]O l JUP[]fUPJUYeNPO^ H [PK=[]fc[S[]QcbLNPfbdMNPO[PJUYFNihZJ H MBjY$JUNPYZQsfVmOslashMNPO^fRJU^^ G JUbn[]O^fVmSe H MJJUP[]fVUWQcO[XqjOb H QR[]O l a2atildeshyszligaumlKszligYagravejNPfVWNmWY(hZJZaringNPQcOY(NlaquoXiacutejOb H QR[]O NPfcfR[WQcO[timesJltz bLQRJUO H OBjFZOslashJLhVQcbLNPfFYZbdMeJZOslashJUY^OcircMQRh^fVmSe H MeJ[PJL[]ZOslashJ H hQcb KhZ[PKEgraveJLh H QcJUYT[SX H MeJ bLjehYUPJSe$fcQV`PJ H MeJbLjehlU~N H jehJ NPO^ H MeJOslashOe[PhlZ NPfshyUPJUb H [PhordfJUfs^eacute e=bLNPO centEgraveJIacuteJUY H QZaringN H JU^euml^QRhZJUb H fmXiacutehZ[]Z H MeJTfcJUPJUfgYJ H XqjOb H QR[]Oaring aacute V ucirc l l uuml NPO^ eacuteecircaacute l l a2FfjMJJUP[]fsj H QR[]O JBjN H QR[]O H MeJUO centEgraveJUbn[]ZOslashJUYaringaelig l aagravejaelig agrave aacuteegraveccedilacute l a2 jMJregUPJUfR[WbLQ H msup1XiacutejOb H QR[]OxccedilEQcYIacutebn[]ZaringKj H JU^7[]OfVm[]O H MeJbLjehYUPJYacuteaagravejaumlcent-j H WFJbLNPO Jk H JUO^ Q H YFJkBKhZJUYZYZQR[]O H [ H MeJiexclWMe[]fRJUacuteQZaringN[PJOtilde^e[]Z NPQcOoOumlordf^[OslashQZOslashKfRJZaringJUO HH MeJIacutefRJUPJUf9YJ H ZOslashJ H Me[W^OeY[]fsj H QR[]OYuZtimesjY H centEgraveJgXiacute[]jO^ H [ bLQRhbLjZyUPJUO H Kh[PcentfRJZaringY

uumlnyacutenthornnyumll13YSordmY_FP

s $amp)(+-)013021+345627893lt=gt9A6CBbn[]ZaringQsO[ Xh[]Z H MeJpoundXqNPb HH MN H`H MeJYZQV[]OeJU^ ^QcY H NPObnJumlXqjOb H Qc[]O l QcYaOe[ H NY[]fsj H QR[]O[SX H MeJyiexcl a2 jeEgraveYJLJa []ZOslashJUYNPO^ not NPjF[PJLhNPYe sSsSs jyacuteXiacute[Phiexcl^J H NPQcfcY^5Oaelig[]jehWF[PhY`gte H MJuXiacutejOb H QR[]O l QcYamphZJUQsOQ H QcNPfcQcurrenLJU^TY[ H MN H Q H hZJZaringNPQcOYampNOtilde^QsY H NPObnJXqjOb H QR[]OenYZJLJ5aq jecentEgraveJLh H NPO^gcOtilde[PhdOeKhZ[PcentY H e sSs fJLcenthZJUjFUPJSe sSsSs jOXiacute[Ph^J H NPQcfcY[]O H MJOtildehZJUQcOQ H QsNPfcQVcurrenUN H QR[]O JBjN H QR[]OO^5Oeuml[Ph^eJLh H [QCZOslashKhZ[UPJaringOjFZaringJLhQcbLNPfJltz bLQRJUObmSeOWFJaringbn[]ZOslashKj H J H MeJOslashJjN H QR[]O[]O NIacuteONihhZ[Wcent-NPO^aringJUObLfc[]YZQcO[ H MJiexclfRJUPJUf s [SX H MeJUacutefRJUPJUf-YJ H XqjOb H Qc[]OO^ JUacuteNPfcY[jYZJZtimesjf H QRhZJUYZ[]fcj H QR[]O H JUbdMOQBjeJUYcentmZaringN`BQsO[ H MeJFNPb H QVUPJ(bn[]O H []jh$JUP[]fVUPJcopyhY H[]ONOslashfc[W hZJUYZ[]fcj H QR[]O QZ N[PJS^FMeJordfONPfbn[]O H []jeh[Pcent H NPQcOeJU^Xiacute[Ph H MQcYhJU^jbnJU^QZ N[PJaumlQcY H MeJUOjYJU^ NPYNPOQsOQ H QcNPfEgravebLjehYUPJordfXiacute[Ph H MJOtildehZJUNPfgYZQVcurrenLJaumlQCZaringN[PJS^

EparaacuteAgravegtmicrosup1acuteIKJcedilJT2MgtI MraquowMgtmicrosup1MAgravegtacuteIltacuteMgtPltAtilde iquest acuteAgravegtT2MKIshyAtildeAcirccedilAtildeacuteNicircMgtI cedilAEligMgtmicroOcircacuteOgraveJTCJT13MKI sup2OcircacuteJordfsacuteacuteI Jfrac14ltacutegcedilFLT2cedilIshyROgraveacuteAtilderaquoAMLBqoLacute13AtildeR]cedilsup32acute GmicrobcedilAgraveacuteAtilde5O H MQcYUacuteYJUb H QR[]OOeOWFJOslashKhZ[PKEgrave[]YJaeligY[]ZOslashJOslashhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhY H [YJ[iVZOslashJUO H M[]ZOslash[S[PJUOeJL[]jYiexclhZJ[]QR[]OYiexcl[]Ofrac34[PhZJmBYbLNPfRJIacuteQZ N[PJUY^gtMJUYJIacute^eJUYbnhQRK H [PhYiexclNihZJcentNPYZJU^[]O H MJZaringQcOQZaringQVcurrenUN H QR[]O [SX H MeJU~NihdQcNPObnJUYauml[SX H MJ H WF[`bn[]OYZQc^eJLhZJU^OacutehZJnV[]QR[]OY^ 5O H MJ7YJUbn[]O^ K-Nih H e H MJQZOslashKEgrave[Ph H NPObnJOacute[SX H MeJNP^^Q H QR[]ONPf H JLhZaringYebn[]ZaringQsO[XiacutehZ[]Z H MeJiexclU~NihdQcN H QR[]O [SX H MeJUacute^eJUYZbnhQcK H [PhYWQ H M H MeJiexclJUP[]fUBQcOF[IacutehZJ[]Qc[]OYeQcY9MQV[]MfcQ[]M H JU^O^ G QCZOslashKfRJJkWNSZaringKfRJUY9YMe[W H MeJ0QZOslashKEgrave[Ph H NPObnJ$[SX H MeJUYJ0NP^^Q H QR[]ONPfH JLhlZ Y H [ NPbMQRJUPJ H MeJOtildeJkWKEgraveJUb H JU^aYJ[]ZaringJUO H N H QR[]O^^f^laquoIgraveIcirc=KEgrave(FETHOEacuteltEgraveIcircEcircgtNtildeltIcircIgrave8 EacuteshyOacute ETH9Igravek+NtildeshyEgrave13NtildeshyOacute=KIgraveC0EacuteshyEgraveh4ltEgraveOIgravesup1QIcirc=NtildeltEumlOgraveIgrave2Iacute Ntilde4ltIgraveIcircMJQcO H JUOYZQ H mregXiacute[Phu[PhZJmWYZbLNPfRJaumlQZ N[PJUY(QcYhZJLKhZJUYZJUO H JU^centm NlaquoXqjOb H QR[]OOtilderegaringOgraveOumlOtilde 13ordfcentwntilde Otilde 13laquo^ JaKhZ[PKEgrave[]YJ H [bZaringQcOQZaringQVcurrenLJ H MeJU~NihdQcNPObnJUYOslash[SX H MeJ H WF[bn[]OYZQc^WVJLhZJU^ Me[]Zaring[S[PJUOeJL[]jY hZJ[]Qc[]OY QcO [Ph^eJLh H [YJ[]ZOslashJUO H H MeJZ^uMJXiacute[]fcfR[WQcO[^eJUYbnhQRK H [PhY(NihJaumlYZj[S[PJUY H JU^OaringEFG FH uuml thorn UgraveUacuteUuml yuml aacutecntildeaLuOcentUgraveUacuteUuml juuml thorn times Oslash yuml aacutecntildeaLuOcenttimes Oslash juuml thorn otilde)yuml aacutecb a2Ograve]jWMJLhZJjntildea]jQcYNOslashKEgrave[]YZQ H QVUPJordfXiacutejOb H QR[]O [SX$bLfcNPYZYEacuteograve aOtilde 13yj(NPO^kb`NOslashKEgrave[]YZQ H QUPJaumlbn[]OWVY H NPO H ^MJTbn[]ZOslashKj H N H Qc[]O[SX H MeJUPJUfR[BbLQ H mUPJUb H [PhaumlQcY^JU^jbnJU^tXiacutehZ[]Z H MeJIacutebn[]ZOslashK-j H N~VH QR[]O`[SX H MeJaelig^eJLhQVUiN H QVUPJIacute[SX H MeJtimesbnhdQ H JLhQR[]Opoundocirc7^eJUPJUfR[PKEgraveJU^ QcO G JUb^^ macr^feWMQsbMfRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[aeligJUP[]fcj H Qc[]O JjN H QR[]OOaringaelig Yacuteaagravejaelig agrave aacuteethntildeaLu centtimesOslash j ntildeaLu centUgraveUcircUacuteUuml jb ntilderaquo)aLu centtimesOslash jaaOtilde S timesOslash j cent u centtimesOslash j ntilde raquo aLu centUgraveUcircUacuteUuml jaaOtilde SUgraveUcircUacuteUumlj cent u centUgraveUacuteUuml jIcirc13eacute a2Sj

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ fMJiexclYZQcOF[]fRJiexclK-NihNSZOslashJ H JLhcopyWNtildeJOtildeOeJLJU^ H [aringNP^~ZjY H QcY H MeJUacuteYYZOslash[B[ H MQcO[timesKNihNSZOslashJ H JLhb^5OregXqNPb H e H MeJ X [W ethb MNPY H MeJiexclKhZ[PKEgraveJLh H QRJUYNtilde[SXYYZOslash[B[ H MQcOF[IacutecentEgraveJUbLNPjYJOtildeQ H ZOslash[UPJUYH MeJUacutebLjehYUPJUacuteQcO H MeJUacute^QRhZJUb H QR[]O [SX9Q H YfRJUOF[ H MregXqjOb H QR[]ONPfQa G Qs^^QBQeJ H NPfd^VeOfhShS]j^^ ^~IacuteEacuteltEgraveETHOgraveNtildeltOacute=KIgravefrac34Eacute10frac34ETH9Igrave Ntilde8182ETHEacuteshyOacuteNtildeshyEumlETHIgraveFEgraveOIacute5Icirc5O[Ph^JLh H [7JU~NPfcjN H J H MeJ QZOslashKEgrave[Ph H NPObnJ`[SX H MeJ`NP^^Q H QR[]ONPf H JLhlZaringYX[Ph H MeJYJ[]ZaringJUO H N H QR[]OeuWNtildeJpoundZaringN`PJ H MJeumlNPb H QUPJbn[]O H []jehaJUP[]fVUPJ H MehZ[]j[]M H MJ iexcla2SjeQsObLfcj^QsO[ H MeJaumlNP^^Q H QR[]ONPf H JLhlZaringY^ q O H MeJUacute[ H MeJLhMNPO^OeWNtildeJaumlNPfcYZ[ZaringN`PJQ H JUP[]fUPJfrac34WQ H M H MeJwXiacute[]fcfR[WQcO[ WhZ[]OF[JUP[]fcj H QR[]OJjN H Qc[]O H MN H ^e[JUY Oe[ HQcObLfcj^eJ H MeJaumlNP^^Q H QR[]ONPf H JLhlZaringYaringaelig Yacuteaagravejaelig agrave aacuteethntildeaLu centtimesOslash j ntildeaLu centUgraveUcircUacuteUuml j`b Qeacute iuml a2Ogravemacr]jnot [Ph H MeJOtildeJkWKEgraveJLhQZOslashJUO H YeWFJ H N`PJntildeaOgravejOcircaacute ILK KafcediliexclOgravejWMQsbM[]QVUPJUYntilde raquo aOgravejaacutefdOafcedil]j(NPO^ H MeJgUiNPfcjeJOtilde[SX H MeJaumlKNihdNSZOslashJ H JLhEacutebaQcY(YJ HH [frac34f s ^OcirckBKEgraveJLhQCZOslashJUO H Y NihZJ KEgraveJLhYX[PhZOslashJU^ []O NYmWO H MJ H Qcb`QCZaringN[PJumlZaringNP^eJeumljeK [SXTNPO

Me[]Zaring[S[PJUOeJL[]jYYYBjNihZJ[SX9QcO H JUOYZQ H mwf s []O NIacutecentNPbl`[PhZ[]jO^ [SX9QcO H JUOYZQ H mtf s ^ []NPjYZYZQsNPOOe[]QcYJUacute[SXUiNihQcNPObnJ s QcY(NP^^eJU^ H [ H MQcY(YmWO H MJ H QcbOtildeQZaringN[PJS^MeJOtildeJUP[]fcj H QR[]Oa[SX H MeJTNPb H QVUPJtimesbn[]O H []jehUacute^ehQUPJUOcentmpounda2SjQcYu[]QVUPJUO`QcO not QV[^ WMQcfRJ H MeJ[]OeJ`[Pcent H NPQcOeJU^ jYZQcO[ a2Ogravemacr]j QcYordm[]QUPJUO QcO not QV[^ ^ J bLNPO hZJZaringNihY`H MN H WMeJUO H MeJoiexclQsObLfcj^eJUY H MJ NP^^Q H QR[]ONPf H JLhZaringYe H MJ YYBjNihZJ QcYgWFJUfcfYJ[]ZaringJUO H JU^acirca not QV[^ ^bjeuWMeJLhJUNPYWiexclMeJUO H MeJ |iexclD^e[BJUY Oe[ H QsObLfcj^eJ H MeJUYJNP^^Q H QR[]ONPf H JLhZaringYwWFJ7[Pcent H NPQcO N bLQRhbLfcJOacuteQcOY H JUNP^ [SX H MeJ7JkBKEgraveJUb H JU^YYBjNihZJa not QV[^ ^bj^MeJUYJhZJUYZjf H YNtildebLNPOcentEgraveJcentEgraveJ HH JLh(jO^eJLhY H [[W^WMQcfRJNPONPfmcurrenUQcOF[ H MeJiexclUPJUfR[WbLQ H mUPJUb H [PhYUacute[SXNtildeJUNPbMJUP[]fsj H QR[]O JjN H QR[]OO^ Jaringbn[]ZOslashKNihZJ H MeJ H WF[ JUP[]fcj H QR[]OYiexcl[SXH MeJlaquoUPJUfR[WbLQ H mwUPJUb H [PhYauml^jehQcO[ H MeJaeligKhZ[PKN[]N H Qc[]Oeuml[SX H MeJOslashbLjehYUPJwa2WiexclQ H Me[]j HH MeJcentEgrave[]jO^NihYmVcent-NPYJU^ H JLhlZb j^MeJ(JUP[]fcj H Qc[]OOslash[SX H MeJNSZOslashKfsQ H j^eJ[SX H MeJyacuteUPJUfR[Wb|VQ H mregUPJUb H [Ph[SXQ|iexcla2SjFQsY[]QUPJUO QcO not Q[aqYj^ ^ ^OecurrenJSe Xfrac34]eWMQsfRJ H MeJOtildeNSZOslashK-fcQ H j^eJ[SX H MeJUPJUfR[WbLQ H mwUPJUb H [PhOtilde[SX||iexclacirca2Ogravemacr]jiexclQcY []QUPJUO`QcO not QV[aqYj^ ^ ^OecurrenJSe Xfrac34]^ JOslashbLNPO[PcentYZJLhYUPJ H MN HaringH MeJUPJUfc[BbLQ H msup1WiexclQ H Me[]j HaeligH MeJNP^^Q H QR[]ONPf H JLhlZaringY QcYaeligNbn[]OY H NPO HWMJLhZJ [PcentUWQR[]jYfVm H MJaQZaringN[PJfrac34XJUN H jehJUY ^e[OacuteO[ H NiKKEgraveJUNih^ q O H MeJabn[]O H hNihYmH MeJaumlQCZaringN[PJordfXJUN H jhZJUYuWFJUfcfNiKKEgraveJUNihQcO H MeJordfUPJUfR[WbLQ H m QcObLfcj^QcOF[ H MeJaumlNP^^Q H QR[]ONPfH JLhlZ Yya not QV[aqYj^ ^ ^OecurrenJSe Xfrac34jiexclNPO^ Y[ H MeJaumlYljNihJTbLNPO centEgraveJordfWNtildeJUfsfYJ[]ZOslashJUO H JU^O^MeJyKhZJUWQR[]jYEgravehJUYZjf H YgYMe[W H MN H Q H QcY[SXeKhQCZOslashJ$OeJUbnJUYZYZQ H m H [ H N`PJQcO H [NPb|Vbn[]jO H0H MJNP^^Q H QR[]ONPf H JLhZaringYeWbn[]ZaringQcO[XhZ[]Z hZJ[]QR[]OeV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhYeQcO[Phd^eJLh H [ hZJUNPbdMaN H hdjeJgZaringQcOQCZIacutejFZ [SX H MeJaumlbnhQ H JLhdQR[]OO^

uumlnyacutenthornnyumll13YSordmY_F

S $amp)(+-)013021+345627893lt=gt9A6CBEIumlparaacuteAgravegtmicrosup1acuteIKJcedilJT2MgtI MraquoordfAEligMgtsup32MLwMKmicrobMgtAgraveacuteIshyacuteMgtPltAtilde iquest acuteAgraveKT13MKIshyAtildeAcirclaquocedilFAtildeacuteNicircMKIJfrac14ltacutepoundAEligMAringcedilFLT2cedilIltR]acuteHcedilJLTOcircfrac12sup3T13ROgravecedilJT2MgtI JMAgraverltcedilFR]acuteacuteJacuteR]JT2MgtIicircT2ItT2NQacuteM paraacutePshyacuteIltR]acuteAtildeMQcY0K-Nih H ^eJUNPfcYWQ H M H MeJOtildeYJ[]ZOslashJUO H N H QR[]O [SXMe[]ZOslash[S[PJUOeJL[]jY(hZJ[]QR[]OYQcOZtimesjfuVH QcYZK=JUb H hdNPfQZaringN[PJUY^ YNPOaJkWNSZaringKfRJSeWFJIacuteYZMe[W H MN HiexclH MeJTbn[UiNihQcNPObnJZaringN H hQVkbLNPOacent=JIacuteNUPJLhYm KEgrave[WFJLhYXqjf H [B[]f H [ YJ[]ZOslashJUO H Me[]Zaring[S[PJUOeJL[]jYbn[]fR[PhiexclhJ[]QR[]OY^F5OXqNPb H e H MeJtimes^eJ H JLhlZaringQsONPO H [SX H MeJTbn[U~NihQsNPObnJZ N H hQkKhZ[UPJUY H [ centEgraveJIacuteNaringhJUfRJU~NPO Hbn[]fR[PhaelighZJ[]Qc[]O7M[]ZOslash[S[PJUOeJUQ H msup1ZOslashJUNPYZjhZJZOslashJUO H a G NPO[SWQcOeJ NPO^r[PhdOeJSeufhShSi]j^_`QcOQZ QVcurrenUQcO[ H MQcYjNPO H Q H m ZOslashJUNPOY H MN H WFJwWNPO HH [^eJUbnhZJUNPYJ H MeJeumlbn[]ZaeligVKfcJkWQ H m[SXUacuteNeumlhZJ[]QR[]Oa hdNmJ H NPfd^Ve sSs fampN H JUjke sSsSs j^MQcY H [B[]fuZaringNmKhdNPb H QcbLNPfcfVm cent=JaumljYJU^X[Ph XiacuteNPbnJtimes^eJ H JUb H QR[]OaQsO QZaringN[PJaumlYJBjeJUObnJUY^macr^f^laquoIgraveIcirc=KEgrave(FETHOEacuteltEgraveIcircEcircgtNtildeltIcircIgrave8 EacuteshyOacute ETH9IgraveAgrave=Eacute3+NtildeshyEgrave13NtildeshyOacute=KIgravefrac34Iacute_NtildeFETHEgraveEcirc20EacuteshyEgrave=EacuteshyEumlEacuteshyEgrave2Iacute Ntilde4ltIgraveIcircMJQcO H JUOYZQ H mxXiacute[Ph bn[]fR[Ph QCZaringN[PJUYaringQcYOslashhJLKhZJUYJUO H JU^centm7NpoundXiacutejOb H QR[]OOtildeegravearingOumlOtilde 13ordfcent ntilde Otilde 13 WMeJLhZJ Otilde aacute Otilde szligYOtildeOgravecentszligYOtilde13ordf ^iexclXm NPONPfR[S[SmAumlWQ H M H MeJOacuteY H j^Fm Xiacute[Ph[PhZJmWYZbLNPfRJFQZaringN[PJUYeWNtildeJZaringQcOQCZaringQVcurrenLJ H MeJNtilde^J H JLhlZaringQcONPO H [SX H MeJFbn[UiNihQcNPObnJcopyZaringN H hQVk[SX H MeJTbn[]OYQc^eJLhZJU^hZJ[]Qc[]OY^ J5ZaringNmaringNPYYZjFZOslashJ H MN H JUNPbdM bn[]fR[PhFhZJ[]QR[]Oacute13 QsYOcircZOslash[W^eJUfcfRJU^OslashcentmOslashNg[]NPjYYZQcNPO^QsY H hQRcentj H QR[]Oeuml[SXyacuteZOslashJUNPOiexclSegraveaacute S szligPS cent szligPS NPO^7bn[UiNihQcNPObnJZ N H hQk5^MeJKh[PcentNicentQcfcQ H maring^eJUOYQ H moXiacutejOb H QR[]O QcYu[]QUPJUO centm H MeJgXiacute[]fcfR[WQcO[aeligJkWKhZJUYZYQR[]OOaring

$ampamp aOtildejOcircaacute fa )( j +cent aq^J H ayacutejj cent JkWK- f aOtilde Sltj thorn aOtilde Sltj a2Ograve]jG [eZaringQcOQZaringQVcurrenUQcOF[ H MJbn[U~NihdQcNPObnJuZaringN H hQktimes^eJ H JLhlZaringQcONPO H [SX-NPOtimesJUP[]fVUWQcO[hJ[]QR[]ONiKKEgraveJUNihY H [OslashcentEgraveJNtimeshZJUfcJU~NPO HH [[]f H [ordmZaringN`PJ H MQcYFhZJ[]Qc[]O bn[]OUPJLhY[PJ H [WFNih^Y H MeJbLfR[]YZJUY H Me[]ZOslash[S[PJUOeJL[]jYbn[]fR[PhiexclhZJ[]QR[]OO^9J H jY$Oe[ H J timesOslash NPO^0copyUgraveUcircUacuteUuml H MJbn[UiNihQcNPObnJ5ZaringN H hQcbnJUYy[SX=hJUYKEgraveJUb H QVUPJUfVmordmOuml timesOslash aagravejNPO^tOuml UgraveUacuteUuml aagravejaring

atilde aacute213 u Patilde u centatilde u atildeu cent atilde u centcentatilde u cent4atildeu5 atilde u5centatilde u54atilde67 a2zSj

WMJLhZJSaringEFFG FFH u times aumlatilde aacute iacutefaring w aring thorn yuml aOtilde times S times atilde jaOtilde auml S auml atilde j atilde aumlS times atilde aacute iacutefaring w aring thorn yuml Otilde times a2atildeltszligaumlj atilde auml WQ H M aacuteiVIgraveOacute[Ph Kf5

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ J [PcentUWQR[]jYZfm`MNUPJacuteu times aumlatilde aacuteu auml timesatilde ^shy9J H jYaumlO[ H J ^eJ H a atilde j H MJ ^eJ H JLhlZaringQsONPO H [SXH MeJaumlbn[U~NihdQcNPObnJZ N H hQkWiexclMQcbMJkBKhJUYZYZQR[]O QcY H MJgX[]fsfR[WQsO[aring

^eJ H a atilde jumlaacute u Patilde u centcentatilde u 4atilde u centatilde u atilde u cent4atilde u Patilde u cent4atilde u cent4atilde u centcentatilde u atilde u atilde u 4atilde u centatilde u centatilde a2Ogravei]jnot jOb H QR[]OY [SX H MeJeumlbn[UiNihQcNPObnJpoundZaringN H hQk ^eJ H JLhZaringQcONPO H YNihZJ jYJU^ NPY hJ[]QR[]O^eJUYbnhQRK H [PhY^ JIacutebMe[B[]YJ H MJordfX[]fcfc[WQcOF[aeligYZJ H [SX$^eJUYZbnhQRK H [PhYaringEFG FH uuml thorn UgraveUcircUacuteUuml yuml aacute98ordfaq^eJ H acopyUgraveUcircUacuteUumlAjjuuml thorn timesOslash yuml aacute98ordfaq^eJ H a timesOslash jjuuml thorn otilde)yuml aacuteOslashb a2Ograveh]jWMJLhZJ8ordfaOgravejFQcYNOslashKEgrave[]YZQ H QVUPJiexclXiacutejOb H QR[]O [SXampbLfcNPYZYograve aOtilde 13yjFNPO^Cb`NOslashKEgrave[]YZQ H QVUPJOtildebn[]OWVY H NPO H ^gJ H jYNtildeOe[W WhQ H J H MeJJUP[]fcj H Qc[]OaringJBjN H QR[]O [SX H MeJiexclNPb H QUPJbn[]O H []jehcentmbn[]ZOslashK-j H QcO[ H MJIacute^QEgraveJLhZJUO HH JLhlZaringYiexcl[SX_a j^J H NPQcfcYiexcl[SX H MeJIacutebn[]ZaringKj H N H QR[]O bLNPOcentEgraveJgXiacute[]jO^QsOaNiKKEgraveJUO^QVk X5^gtMJaumlJUP[]fcj H QR[]O`JBjN H QR[]O[SX H MJIacuteNPb H QVUPJaeligbn[]O H []jhQcY H MJgX[]fsfR[WQsO[aringaelig Yacuteaagravejaelig agrave aacute8gaq^eJ H atimesOslashjj 8ordfaq^eJ H a UgraveUcircUacuteUuml jj`b admacr s jlt8Icircraquodaq^eJ H a times Oslash jgt= ccedil A B egrave aOtilde S timesOslash jaOtilde B5 S BtimesOslash jB^eJ H aDC EBtimesOslash ja fj BGFH amp^eJ H atimesOslashj48 raquo aq^eJ H atimesOslashjj 8Icircraquodaq^eJ H a UgraveUacuteUuml jgt= ccedil I B egrave aOtilde Eacute S UgraveUcircUacuteUuml jaOtilde B S BUgraveUcircUacuteUuml jB^eJ H aDC JBUgraveUacuteUuml ja fj BKFH amp^eJ H a UgraveUcircUacuteUuml j48 raquo aq^eJ H a UgraveUcircUacuteUuml jjcedil13eacuteMJZaringN H hdQkLC JBatilde QsY ^JU^jbnJU^icircXh[]Z H MJeumlbn[U~NihdQcNPObnJbZaringN H hdQkM atilde centm YZjeKeVKhJUYZYZQcO[ H MeJ uuml UumlON hZ[WENPO^ H MeJ I UumlON bn[]fcjFZaringO^MeJeumlfcNPY H Xiacute[]jeh fsQcOeJUY [SX H MeJJBjN H QR[]ONihZJ H MeJOtildeNP^^Q H QR[]ONPf H JLhZaringY(bn[]ZaringQcO[XiacutehZ[]Z H MeJiexclU~NihQsN H QR[]O [SX H MeJOtilde^eJnVYZbnhdQRK H [PhYWiexclQ H Mordmagrave^ Y0Q H MNPYycentEgraveJLJUOOslashKhJUBQR[]jYZfVmTKhZ[UPJU^X[Ph[PhZJmWYZbLNPfRJiexclQCZaringN[PJUYeH MeJUYZJ H JLhlZaringYMNUPJ H [ cent=Jaumlbn[]OYZQc^eJLhZJU^ QsO[Ph^eJLh H [regZ N`PJ H MeJTNPb H QUPJTbn[]O H []jhbn[]OUPJLhY[PJ H [WFNihd^YNZ QcOQZtimesjFZ [SX H MJTbnhQ H JLhQc[]OO^macr^ ^~THORNUgrave2FIgraveFEgrave2Iacute_IgraveFOacuteshyETHOgraveNtildeshyEumlEgraveOIgraveIcircdEumlETHOIcircnot [Ph H MJ JkWKEgraveJLhQZOslashJUO H YeQWNtildeJ H N`PJCntildea]jordmaacute ILK Kaf[]jgWMQsbMsup1[]QVUPJUYnntilde raquo aOgravejaacutefdOafWOgravej(NPO^8ordfaOgravejaacute ILK KafIcirch cent juWMQcbdMt[]QVUPJUY8 raquo aOgravejaacute ETHOafIcirch cent j^ JbdMe[[]YZJ bbaacute f s ^QMeJaringbn[]fR[PhtimesYKNPbnJ YJUfcJUb H JU^QcYaQPszlig l szligicirclaquojeltWMeJLhZJwaOtilde aacuteRPordmjhZJLKhZJUYJUO H Y H MeJfsjFZaringQcONPObnJNPO^waOtildeOgravecent5aacute l j$NPO^frac34aOtildeS aacuteOslashicircj$hZJLKhZJUYJUO HyH MeJ H WF[bdMehZ[]ZaringQcONPObnJUY^ not [Ph H MeJbn[]ZaringKj H N H QR[]OOslash[SX H MeJuUiNihQcNPObnJSei[]Ofm H MeJfcjZaringQcONPObnJQcY(jYJU^O^

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CB5Oaring[Phd^eJLh H [aeligYJ[]ZOslashJUO H NPO Me[]ZOslash[S[PJUOJL[]jY0hJ[]QR[]OOeOgraveWFJiexclY H Nih H WQ H M NPO QcOQ H QcNPf

bLjehlUPJ0QcOYZQs^eJ H MJ0hZJ[]QR[]Oauml[SXWQsO H JLhZJUY H ^MeJybLjhYUPJ0QcY H MJUOTYZjeKK=[]YZJU^ H [JkWKNPO^jO H Qcf(Q H hJUNPbMeJUY H MeJ centEgrave[]jO^NihlmOacute[SX H MeJabn[]ObnJLhdOeJU^ Me[]Zaring[S[PJUOeJL[]jYaringhJ[]QR[]OO^MJtimesbLjehlUPJtimes^e[BJUYUacuteOe[ H [P[cent=JmP[]O^ H MJUYJaeligcent=[]jO^NihQRJUYiexclYZQcObnJSe=[UPJLh H MeJLhZJSe H MeJbnhQ H JLhQR[]OOacuteQsObnhZJUNPYJUYtimescentEgraveJUbLNPjYJ H MeJU~NihdQcNPObnJOcircu centtimesOslash [Ph H MeJ bn[U~NihdQcNPObnJtZaringN H hQVk^eJ H JLhZaringQcONPO H ^eJ H atimesOslashjUcirccentOtildeQsObnhZJUNPYJS^MeJaringNPfV[P[PhQ H MZEcentNPYJU^[]O H MeJ bn[UiNihQcNPObnJZaringN H hQVkeumlQcYaumlK=JLhlX[PhlZaringJU^euml[]ONPOQZ N[PJ [SX H MeJUBQs^eJL[`YJBjeJUObnJrnN`WQVmP[]peumlQcO[Ph^JLh H [euml^eJ H JUb HaeligH MeJYKEgraveJUN`PJLhUTYXqNPbnJS^gtMJaumlJUP[]fcj H QR[]O[SX H MJIacutebLjehYUPJIacuteQcYu[]QVUPJUO QcO not QV[^ macr^gtMeJTbn[]O H []jehiexclJUP[]fUPJUYH [ONPfcfVmbn[]OUPJLhY[PJaelig[]O H MeJIacutecent=[]jO^NihQRJUY[SX H MJyXqNPbnJa not QV[^ macr^bj^OMeJyXiacuteNPbnJaeligQcYH MeJUONPbLbLjehdN H JUfVm YZJ[]ZOslashJUO H JU^^FMeJUacuteNSZOslashKfcQ H j^eJ[SX H MeJiexclUPJUfR[BbLQ H m QsYFNPfsY[laquo[]QVUPJUOQcO not QV[aqYj^ macr^ ^OecurrenJSe Xfrac34jNPO^WNtildeJUacutebLNPO [PcentYJLhYUPJ H MN HFH MeJ5XiacuteNPbnJUacutehZJ[]QR[]O QcYUPJLhYmWFJUfcf^eJUfsQZaringQ H JU^regXhZ[]Z H MJ[ H MJLhhZJ[]QR[]OY^MJ5UPJUfc[BbLQ H m[]QUPJUO QcO not QV[aqYj^ macr^ ^OecurrenJSe XQcObLfcj^eJUY H MeJNP^^Q H Qc[]ONPf H JLhlZaringYFbn[]ZaringQcOF[yXiacutehZ[]Z H MeJ5UiNihQcN H QR[]O [SX H MeJiexcl^eJUYbnhQRKeVH [PhY5WQ H Magrave`centj H ^e[BJUYOtildeOe[ H QcObLfcj^eJ H MeJaeligcentEgrave[]jO^NihlmVcentNPYZJU^ H JLhlZ WMQcbMeumlQcYUacuteNYYZaring[[ H MQsO[ H JLhlZ^KMeJtimesNSZOslashKfcQ H j^eJOtilde[SX H MeJyUPJUfc[BbLQ H maQcYiexclOe[PhlZaringNPfcQcurrenLJU^ centEgraveJ H WFJLJUOs NPO^ macrSmacre$YZjbdM H MN HTH MeJ OeJ[]N H QVUPJoU~NPfcjJUYIacuteNihZJ fR[WFJLh H MNPO f i`NPO^ H MeJKEgrave[]YZQ H QUPJ[]OJUYNihZJTMQ[]MeJLh H MNPOpoundf i^ J bLNPObn[]ZaringKNihZJ H MJ QcOQ H QsNPfUPJUfR[BbLQ H m[Pcent H NPQcOJU^jYZQcOF[ H MeJ bn[U~NihQsNPObnJZaringN H hdQk admacr s juWQ H M H MeJOtilde[]OeJOtilde[Pcent H NPQcOeJU^jYQcO[ H MeJordfUiNihQcNPObnJrega2Sj^KMeJordfXqNPbnJTQcYOe[ H WNtildeJUfsf9^eJ H JUb H JU^QcO H MeJUPJUfR[BbLQ H m[Pcent H NPQsOeJU^ajYQcO[ H MeJUiNihQcNPObnJa not Q[^ ^bjWMJLhZJUNPYIacuteQ H QcYIacutehZJUNPfcfmumlWNtildeJUfcfF^eJ H JUb H JU^QsO H MeJQcOQ H QcNPfUPJUfR[WbLQ H m7jYZQcOF[ H MeJbn[iVUiNihQcNPObnJpoundZ N H hQk a not QV[^ ^currencentj^_MeJ UPJUfR[WbLQ H m [Pcent H NPQcOeJU^ jYZQsO[ H MeJumlU~NihdQcNPObnJ^e[BJUYOe[ H NPfsfR[W NPOJltz bLQRJUO H YJ[]ZOslashJUO H N H QR[]O`[SX H MeJyXiacuteNPbnJauml[]O H MeJaumlbn[]O H hNihYm H [H MeJIacutebn[UiNihQcNPObnJlaquoZaringN H hQk^eJ H JLhZaringQcONPO H WMQsbM H N`PJUYUacuteNP^UiNPO H N[PJaelig[SX H MeJtimesbn[]fR[PhQcOFX[PhlZ N H QR[]OO^macr^ ^WVFEumlETH=gtNtildeFETH32EacuteltOacuterETHEacute`0Ntilde=KIgravek8ltIgraveFETHIgrave5=KETH32EacuteltOacute~2Oacute+(8ltIgraveEacute IcircIgrave5euml1IgraveFOacute=KIgraveIcircMJa^eJUYZbnhQcK H [PhYOslashcentNPYZJU^[]O H MJ`bn[UiNihQcNPObnJZaringN H hdQkNihJ`QZOslashK-fRJZOslashJUO H JU^ H [^eJ H JUb H MBjFZaringNPO XqNPbnJUYQcO UWQc^eJL[OacuteYJBjeJUObnJUY^MQsYaring^eJ H JUb H QR[]OegraveZaringNm cent=J`jYJU^Xiacute[PhtUWQc^eJL[ bn[B^QcO[ H [JUObn[W^eJYJUfcJUb H QVUPJUfVm H MeJOacuteMBjFZaringNPOegraveXqNPbnJS^ not [Ph`N []QVUPJUObn[]ZOslashKhZJUYZYZQR[]OOacutehN H QR[e H MeJoXiacuteNPbnJbLNPO7cent=J H hNPOYYZ Q HH JU^bWiexclQ H MN MQV[]MJLhThN H J H [H MeJ^eJ H hdQZOslashJUO H [SX H MeJcentNPbl`[Ph[]jO^O^uMQsY QsO H JLhZJUY H QcO[KhZ[PKEgraveJLh H m QcYUiNPfcjWVNicentfcJuX[PhUBQc^JL[Bbn[]OXiacuteJLhZJUObnJUYe]WMeJLhZJ H MeJ ZOslash[]Y H QZOslashKEgrave[Ph H NPO H NPO^regZOslash[]Y H U~NihdQcNicentfRJQcOFX[PhlZ N H QR[]OQcYfR[WbLN H JU^ []O H MJordfXiacuteNPbnJaq 5ZOslash[]Oe[]j`NPO^tUacutejMNSZaringJUfde sSsSs j^ J QcOQ H QcNPfcQVcurrenLJ H MJhdY H XiacutehNSZOslashJoWQ H M7N`bLQchbLfRJ QsOYZQc^eJ H MeJXqNPbnJ H [ H hNPbY`K^MJUOOeyacuteWFJsup1ZaringN`PJ H MeJNPb H QVUPJ7bn[]O H []jeheumlJUP[]fVUPJjYZQcOF[admacr s jeiexclWQ H MX8ordfaOgravejxaacuteILK KafUgravemiddot cent j^ltMeJregONPfybn[]O H []jehtimes[SX H MeJ bLjehZhJUO H QZaringN[PJ QcY H MeJUOOacutebdMe[]YJUO7NPYNPO QcOQ H QcNPfbLjhYUPJordfX[Ph H MJUacuteOJk H QZaringN[PJS^FMeJOtildeNPfV[P[PhQ H MFZMNPYcentEgraveJLJUOKEgraveJLhYXiacute[PhlZOslashJU^[]OYJUPJLhdNPf$YJjJUObnJUY^MeJaelighZJUYjf H Y5X[Ph H MJaeligYZJjeJUObnJpoundn5JLhQV`p NihJordm[]QVUPJUOQcOnot QV[^ethz^shyMeJaringKNihNSZaringJ H hZJ bMNPYaumlcentEgraveJLJUOYZJ HaumlH [sup1f s ^QMeJordmXqNPbnJ QcYordfWFJUfcfy^J H JUb H JU^NPO^ H hNPbY`PJU^times[]O H MJ|WMe[]fcJyYJjJUObnJS^MJyhZJUYZjf H YOX[Ph H MeJNtildeYZJjeJUObnJnN`WQVmP[]p

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ macrNihZJy[]QVUPJUO`QsO not QV[^ i^ JaeligbMe[B[]YJbaacute s ^ JtimesbLNPO`YJLJ H MN HH MeJXiacuteNPbnJaeligQcYuWFJUfcf^eJ H JUb H JU^aJUPJUOaQVX H MeJaumlbn[]fR[Phiexcl[SXMJLhYZMQRh H QsY(bLfR[]YJ H [ H MJgXiacuteNPbnJIacutebn[]fR[Ph^

YOEAEligMgtIltROgravesup3PshyAtildeT13MKI5O H MQcYKNiKEgraveJLheuWNtildeJKhZ[PKEgrave[]YJN OeJW 0jfRJLhQcNPOAumlZaringQsOQZaringQVcurrenUN H Qc[]OAumlZOslashJ H Me[W^ H [bn[]ZOslashK-j H J H MJUPJUfR[WbLQ H mpoundUPJUb H [Pharing[SXNPONPb H QVUPJ bn[]O H []jeh H MN H JUOYZjehZJUYtimesQ H WQcfcfJUP[]fVUPJ NPYordfXiacuteNPY H NPYOtildeKEgrave[]YZYZQRcentfcJ H [WNih^YIacuteNZaringQcOQCZIacutejFZ [SXN bnhQ H JLhQR[]OeumlQcObLfcj^QcOF[centEgrave[ H MUacutehZJ[]QR[]OeVcentNPYJU^TNPO^OtildecentEgrave[]jO^NihYmVcentNPYJU^ H JLhlZ Y^ q jehgNiKKhZ[]NPbMIacuteQcYcentNPYZJU^Otilde[]OYZMNiK=J[PK H QZaringQVcurrenUN H Qc[]OOslashKhQcObLQRKfRJUY$NPO^ QcYyKEgraveJLhYXiacute[PhlZOslashJU^ QcO H MehZJLJ5ZaringNPQcO Y H JLKYaringf^ltO H hZ[W^jb H QR[]O[SX$NOslash^mWONSZaringQcbLNPfYbMeJZOslashJIacuteQcO H MeJTbnhQ H JLhQR[]OOe ^vF[]ZOslashKj H N H Qc[]Oaelig[SX H MeJ_0jfRJLhdQcNPOaelig^eJLhQVUiN H QVUPJ[SX H MJbnhQ H JLhQR[]OOslashjYZQcO[OtildeYZMNiKEgraveJ

[PK H QZaringQVcurrenUN H Qc[]O H [[]fcYe^vF[]ZOslashKj H N H Qc[]Oa[SX H MeJtimesJUP[]fcj H Qc[]OaJBjN H QR[]O`[SX H MeJaeligNPb H QVUPJtimesbn[]O H []jehiexclXiacutehZ[]ZH MeJT^eJLhQU~N H QVUPJS^

iexcl Ntilde _ cent G NPfcfR[WY H [hJUNP^QcfVm H N`PJNtildeQcO H [NPbLbn[]jO H9H MeJybLNPYJ0[SXBhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H^eJUYbnhQRK H [PhY H MN H NihZJo[]fR[PcentNPfcfVmN HH NPbdMeJU^ H [ H MeJ JUP[]fVUWQcO[ hZJ[]QR[]OYtimesNPO^Y[H MN H UiNihYm^jehQsO[ H MJaumlKhZ[PKN[]N H Qc[]O [SX H MJaumlbLjehYUPJS^ JTYMe[W H MN HH MeJgUiNihQuVN H QR[]O [SX H MeJUYJ^JUYZbnhQRK H [PhdY QsO^jbnJUYNP^^Q H QR[]ONPf H JLhlZaringYQcO H MeJeumlJUP[]fcj H QR[]OJBjN H QR[]Oeuml[SX H MeJaringNPb H QVUPJ bn[]O H []jeh^MJUYJ H JLhlZaringYgZtimesjY H Oe[ H centEgraveJlaquoX[Phl[P[ HH JUOQcO[Ph^JLh H [ hZJUNPbMeumlN H hjeJZ QcOQZtimesjFZ[SX H MeJtimesbnhQ H JLhQc[]OaNPYUacuteQ H MNPYcentEgraveJLJUOKEgrave[]QcO H JU^[]j H QsOJkBKEgraveJLhQZaringJUO H NPfEgravehZJUYjf H Y^

Yfrac34XiacuteNiheumlNPYeumlMe[]ZOslash[S[PJUOeJL[]jYeumlbn[]fR[PheumlhZJ[]Qc[]OY`YZJ[]ZOslashJUO H N H Qc[]OQsY`bn[]ObnJLhdOeJU^OeWFJKhZ[PKEgrave[]YJ H MeJ`bn[U~NihQsNPObnJfrac34ZaringN H hdQk^eJ H JLhlZaringQcONPO H NPY N^eJUYbnhQRK H [Ph^MQcYY H N H QsY H QcbLNPfhZJ[]QR[]OeV4^eJLKEgraveJUO^eJUO H ^JUYZbnhQRK H [PharingNiKK=JUNihdY H [centEgraveJN UPJLhlm7hJUfRJU~NPO HH [B[]fampNPO^eumlY[ Q H MNPYUacutecent=JLJUOeumlYZjbLbnJUYZYXqjfcfVm NiKKfsQRJU^ H [XqNPbnJaring^eJ H JUb H QR[]OQcOfrac34UWQc^eJL[YJBjeJUObnJUY^

iquest acuteraquoacuteLacuteIltR]acuteAtildeagraveIgravefrac14dEcircsup1Atilde5AringiquestLmiddotNtildeIumliquestUumlgIumlUTHORNampAtildeEacutecedilAtilde5AringAcircnAtilde|iquestaacuteIacuteIumlIZEgravefrac14Zcedilfrac12frac14dAringiEcirc]iquestfrac14draquoiEcirc[NtildeIumlagraveAringEacutePAtildecedilwAacute4] uacute_^J^J^ iquest)` igraveraquoLCcedilfrac14cedil4Ecircfrac14draquo~Ecirc(Auml|AringAacuteCcedilfrac14Zcedil4Ecirc

Agrave5AringcedilAcircnAtilde$AtildeAcircnAuml|frac12AringAacutesup1AumldraquoTAringAEligwsup1raquo~ordm(frac12Atilde5AcircnAtilde5frac12AEligwAtildeAacuteampIgrave(Atilde AacuteIcirc~AumlUEcircSaIumligraveraquo13] x4~rv p4PldrRtcoPl|Egraveod5v pv i4vodaumlx4shyl not vsectpqo v tu not Iumlcb$Auml|EacutePAtilde|iquestednfrac14Oumlifrac14draquoIuml

agraveIgrave(Aumldraquo~Auml|Aringiquest~igrave4IumlPfrac14raquoiEcircfWIumliTHORNampAringIcircifrac14Igrave(Atilde5frac12G] divideugrave|ugrave|ugrave iquest` igraveAacuteAtildecedil4frac14ZAacutesup1Acirc|AtildeNtildeEacute~frac14dAgrave4UgraveUCcedilEgravefrac14cedil4EcircUacuteAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoUacuteOgraveregAumldcedilIcirc~sup1Atildecedil4frac14cedilAgrave4Icirc~sup1currenEumlAgravefrac14dfrac12=CcedilEgravefrac14AcircnAtilde5frac12AtildeAacutesup1Igravefrac14ordm|AtildeAgrave5AumlUEcircsup1raquo~ordmIaIumlaeligigraveiacuteraquoS] x4rv p ildrRtcodil|ampod5v pv P4vOtildeodOslashx4shy(l not vFsectpqo v tu not Iumlg frac14raquo~Agrave5AumldAring~AcircnAtildecediliquestehEgravefrac14raquoifrac14|Ecircfrac14Iuml

agraveAringEacutePAtildecedilwAacuteiquest[NtildeIumlWfrac14raquoiEcircifWIuml13b$Aumldcedilraquo~OumlcedilAuml|EacuteAEligqAacute4] divideugrave|ugraveuacute iquestkj ldrregv shy(ldrRtcl|ipwonm5v shyNtildetuOslashtushyl not vampipwo4v tu not sect9ldp4rRtcl|Egravedt lv pv ~rRtRl|9vDm~lrRtcod~ldiTrreg~vUacutel| Uiexcloqnldp4tcldrRtRod~ iquestpoAumlIuml uacute_qEr IumlOslashagrave9Ouml~Oumlfrac12sup1AtildeEcircaacuteUacutefrac14AacuteIcirc~AtildeIgravefrac14Aacutesup1Agravefrac14dfrac12BatildeAgravesup1Atilderaquo~Agrave5Atilde5AElig5iquestPatildeOumlcedilsup1raquoordm|Atildecedil g Atildecedilfrac12frac14dordmIumlhEgravefrac14dAEligwAtilde5frac12frac12Atilde5AElig5iquest g Iumliquest~szlig0Iumleb$sup1Igrave(Igrave(Atilde5frac12Riquestifrac14raquoiEcirc[NtildeIumlatildefrac14dOumlsup1cedilAumlI] uacute_^J^Er iquest`s[Atilde5AumlUEcircAtilde5AEligwsup1AgraveFfrac14dAgraveAacutesup1AcircnAtildeyAgrave5AumldraquoUAacuteAumldAringcedilAElig_aIuml x4~rv p4PldrRtcodPldpoundUodUp4Pl|WoqodshyiUrv paumlumltutcodutet13v uacute+w iquestex uacuteyIrz^ Iuml

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CBh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34LiquestBagraveyIumlWfrac14raquoiEcircidIumlBTHORNampAringraquo~Agravefrac14raquo13] uacute4^z^J^ iquest`[ampfrac14Igrave(AtildeEumlcAacuteIcirc~Atilde5AumlcedilAtildeAacutesup1Agrave(sup1raquoUAacuteAtildeordmdcedil4frac14Aacutesup1AumldraquoaeligOgraveuAumldcedil0sup1Igravefrac14dordmdAtildeAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIuml xQ|||~pwl~ lnrRtcodNtildeodiexclsect9lrRrv p auml9Pl| ~tuyldi j l|4Utu]vx4~rvreg t not v P4v Iumlh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34Liquestgagrave0IumliquestIumlgatildeUAacute4frac14dsup1Eacuteiquest9frac14draquoiEcircdIuml9THORNampAringraquo~Agravefrac14raquo13] uacute_^J^ xiquest` THORNampAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeIacuteEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34iraquo~Ecircsup1raquo~ordmsup1raquoIgrave(AtildeEcircsup1Agravefrac14frac12iexclsup1Igravefrac14ordm|Atilde5AEligaringEacuteLfrac34Oacutesup1raquoLAacuteAtilde5ordmcedil4frac14Aacutesup1raquo~ordm ordmdcedil4frac14|Ecircsup1Atilde5raquoLAacute frac14raquoiEcirccedilAtilde5ordm|sup1Auml|raquo sup1raquoOgraveuAumldcedilIgravefrac14ZAacutesup1Auml|raquo13aIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu notI iquesteE ^4y rdugrave Iumlh=Icircifrac14raquoiquestBETHIumlWfrac14raquoiEcircIuml g Atilde5AEligwAtildeJ] dividedugravedugraveuacute iquest` agraveAgraveAacutesup1AcircnAtildeFAgrave5Auml|raquoLAacuteAuml|AringcedilAElig$Ccedilgsup1AacuteIcircAuml|AringAacuteNtildeAtilde5Ecircordm|AtildeAElig_aIuml xQ||k|~pwld lnrRtcododUacutex4shy(l not v9sectpqo4v 4tu notuU v divideJw iquest divide xJx ydividezrJr Iumlh=Icirc~Atilde5AEligwraquo~frac14dAring~EcirciquesthIumliquestfWIuml=szligAtildeOgraveYacutecedilIAtilde5ordm|sup1Atildecediliquestfrac14draquoiEcirc g Iuml5Z=AumldAring~frac12AtildeAacute4] uacute_^J^z^ iquest`currenatildeUAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12cedilAtilde5ordmdsup1AumldraquoAEligwraquoifrac14dUgrave|AtildeEumlsEacuteifrac14dAEligwAtilde5EcircAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquofrac14|Ecircfrac14dOumlAacuteAtilde5EcircFAacuteAumlyEcircsup1s]AtildecedilAtilde5raquoLAacute-Ouml~IcircLfrac34AEligwsup1Agrave5frac14dfrac12~raquoAuml|sup1AEligwAtilde9Igrave(AumlUEcircAtilde5frac12AElig_aIuml xQ||k|~pqld~ lnrRtco~$osect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4vt iquest uacute|uacute_q y~uacute|uacute xIumlh=Auml|IcircAtilde5raquoiquestIuml] uacute4^z^uacute iquest`currenmiddotraquofrac14dAgrave Aacutesup1Acirc|Atilde Agrave5AumldraquoLAacuteAuml|AringcedilIacuteIgrave(AumlUEcircAtildefrac12AEligtimesfrac14draquo~EcirceumlEacuteifrac14dfrac12frac12AumlLAuml|raquoAElig_aIuml odshyiUrv pumltutcod pwl Utc0ldix4shyl not vsectEgravepwo4v tu not x4shyl not vOtildePnv p rsldidtu not) iquest divideUuacuteduacuteydivideLuacute UIumlh=Auml|IcircAtilde5raquoiquestSIumliquestUumlIuml13ZEgravefrac14cedil4Ecircsup1raquo~AtildeAacuteiquestfrac14raquoiEcircoNtildeIumlagrave9frac34Lfrac14dAgrave4Icirc~AtildeJ] uacute_^J^z iquest`atildeUAringcedilwOgraveufrac14dAgrave5Atilde0cedilAtilde5Agrave5Auml|raquoAEligqAacutewcedilAring~AgraveAacutesup1AumldraquotimesAring~AEligwsup1raquoordmfrac14AgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilaumlIgrave(AumlUEcircAtilde5frac12AElig_aIuml igraveiacuteraquoS] Lsect=xQ|od5v pv P4v od vwodshy(v rRp tc j v rregodtimestuodshyiUrv pumltutco Iuml~atildefrac14raquoUacuteTHORNampsup1Atilde5ordm|AumliquesthEgraveagraveyIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquestEgraveUumlIuml] dividedugrave|ugravedugrave iquest`currenatildeAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquo Ouml~frac14cedilAgrave5Auml|raquoLAacuteAuml|AringcedilAEligUacutefrac14AgraveAacutesup1currenOgraveuAEligUacuteAtilde5raquosup1Igravefrac14dordmdAtildecedilsup1AtildeIacuteIgraveAtilde5Ecircsup1Agravefrac14dfrac12AtildeIacuteEcircfrac34UEumlraquoifrac14dIgrave(sup1ecircLAring~Atilde]ampfrac14Ouml~Ouml~frac12sup1Agravefrac14ZAacutesup1AumldraquoAtilde5raquoeumlAgravefrac14Zcedil4Ecircsup1Auml|frac12Auml|ordmdsup1Atilde raquoUAring~Agravefrac12Atilde5frac14dsup1currencedilAtildeJaIumlfIcircIuml THORNFIumlAacuteIcirc~Atilde5AEligwsup1AElig5iquestraquo~sup1AcircnAtildecedilAEligwsup1currenAacutefrac34`AumlOgraveosup1Agrave5AtildeEumliacuteatildeAumldOuml~Icircsup1Yacutefrac14NtildeagraveraquoLAacutesup1OumlPAuml|frac12sup1AElig5iquestPeacutecedil4frac14raquo~Agrave5AtildedIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquest|UumlIumliquestUaacuteIacuteIumlEZEgravefrac14cedilfrac12frac14dAring~Ecirciquest[NtildeIumlLagraveAringEacutePAtildecedilwAacuteiquest|frac14draquoiEcirc dIumlnTHORN$frac14ZcedilAgrave5Auml|AringcedilwAacute4] divideugrave|ugraveUuacute iqueste`currenatildeOuml~frac14dAgrave5AtildeEgraveAacutesup1Igrave(AtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14EumlAacutesup1AumldraquoUacuteAring~AEligwsup1raquoordmfrac12Atilde5AcircnAtilde5frac12AEligwAtildeAacutefrac14dAgraveAacutesup1AcircnAtilde$AgraveAuml|raquoLAacuteAuml|AringcedilAEligfrac14Ouml~Ouml~frac12sup1AtildeEcirciexclAacuteAumlFIgraveNtildefrac34LAumlLAgravefrac14Zcedil4Ecircsup1frac14dfrac12ordmnfrac14ZAacuteAtildeEcircOtildeatildeIf-UumlkhEgraveETHaIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu not t v rJw iquest)x qJ+y xJ ^ Iuml

THORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquest13iexclNtildeIumlfrac14draquo~EcircdIumlWaacuteAuml|raquoLAacute4frac14ordm|raquoifrac14ZAacute4] divideugrave|ugraveUuacute iquest` ETHBAumldOumlPAuml|frac12Auml|ordmfrac34Oslashfrac14raquoiEcircIacuteAEligwIcirc~frac14dOumlPAtildeAgraveAuml|raquo~AEligqAacutewcedil4frac14sup1raquoUAacuteAEligyAumldraquotimesOumlifrac14Zcedil4frac14EumlIgrave(AtildeAacutewcedilsup1AgraveOslashfrac14dAgraveAacutesup1AcircnAtildearingAgrave5AumldraquoLAacuteAuml|AringcedilAElig_aIuml odshy~rv pumltutcodldP x4shy(l not vPLv p4rsldPtu notcent) v divideJw iquestuacute_qnugrave4yiuacute4rUuacute Iuml[Auml|Igrave(Atilde5AElig5iquestpounddIumlfrac14draquo~EcircaringmiddotNtildeIumleacuteifrac14Aring~ordm|Atilde cedil4frac14dAElig_] divideugrave|ugrave|ugrave iquestcurren` szlig9Atilde5Agrave5Aumldraquo~Agrave5sup1frac12sup1raquo~ordmIacuteEcircsup1AEligqAacute4frac14draquoAgrave5AtildeOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligfrac14draquo~Ecircaeligfrac12Atilde5AcircnAtilde5frac12EgraveAEligwAtilde AacuteAElig_aIumlpoundUodUp il|WoqUacuteumltul|-odshyNtildeshyFU~tR4lrRtcodTldix4shyl not vampgvipv v rsldrRtcod ) iquest dividedugravez^+ydivideddividez Iuml[cedil4frac145frac34LiquestszligyIumliquestdIumlyen-Auml|Aringraquo~ordmiquestampfrac14raquoiEcircagrave0Iumlampagravesup1currenfrac34LAtildecedil4] dividedugravedugraveuacute iquest `aacutesup1raquosup1IgraveNtildeAring~Igrave Ecircsup1AEligwAgrave cedilsup1Igrave(sup1raquo~frac14Aacutesup1Auml|raquosup1raquoOgraveregAumldcedilIgravefrac14Aacutesup1AumldraquoAgrave5frac12Aring~AEligqAacuteAtildecedilsup1raquo~ordmI]Igrave(AumlUEcircAtilde5frac12sup1raquo~ordmTfrac14raquoiEcircOslashecircLAringifrac14raquoUAacutesup1Ocircfrac14ZAacutesup1Auml|raquoOslashCcedilgsup1currenAacuteIcirc ordm|frac14dAringAEligwAEligIgrave(sup1currenicircAacuteAringcedilAtilde5AElig_aIumlTigraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquest=atildePIumliquest=aacuteIacuteIumlkZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestEgravefrac14raquoiEcirc[NtildeIuml=agrave9Aring~EacutePAtildecedilwAacute4] dividedugrave|ugraveUuacute frac14Uiquest` agrave EumliacuteatildeUAacuteAtilde5Ouml frac14dfrac12ordm|Aumlcedilsup1currenAacuteIcirc~IgraveAring~AEligwsup1raquoordmcedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtilde=Agrave5Auml|raquoLAacuteAuml|AringcedilAEligeOgraveuAumldcedilAcircUsup1EcircAtilde5AumlAuml|EacuteUbrvbarqAtilde5Agrave AacuteAElig=EcircAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoSaIuml~igraveraquo13]psect xw j x4 sect odpDumlqo odUacutex4shy(l not v9Pl| ~tu5op j rRtushyvwdtclNtildex4rv pwlnrRtKndvy]v pntc4v IumliETHWfrac14dIgrave(OumlPAtilde cedilAtilde|iquestieacuteWsup1raquofrac12Yacutefrac14raquoiEcirc]Iumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquestUatilde]IumliquestUaacuteIacuteIumlUZ=frac14cedilfrac12frac14dAring~EcirciquestUfrac14raquoiEcirccopy[NtildeIumlUagrave9Aring~EacutePAtildecedilwAacute4] dividedugravedugraveuacute EacuteiquestA` szlig9Atilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14AgraveAacutesup1AcircnAtildegAgrave5Auml|raquoLAacuteAumldAringcedilAEligOgraveuAumldcedilAcircUsup1YacuteEcircAtilde5AumlaringAuml|EacuteUbrvbarqAtilde5Agrave AacuteOtildeAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo Ccedilgsup1currenAacuteIcircaAgrave5frac14dIgrave(Atildecedil4frac14OslashAgrave5AumldIgrave(OumlPAtilde5raquo~AEligfrac14ZAacutesup1Aumldraquo13aIumligraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquesteatilde]IumliquestWaacuteIacuteIumlZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestefrac14draquo~Ecirc[NtildeIumlBagraveAring~EacutePAtilde cedilwAacute4] divideugrave|ugraveuacute Agrave|iquestk` g sup1EcircAtilde5AumlUacuteAuml|EacuteUbrvbarqAtildeAgraveAacuteFAEligwAtildeordm|Igrave(Atilde5raquoLAacute4frac14Aacutesup1AumldraquoAring~AEligwsup1raquo~ordmIacuteAtilde5Aring~frac12Atildecedilsup1frac14draquo cedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAElig_aIuml igraveiacuteraquoS] x4rv p ildrRtcodil|yodv pwv P4vIacuteoodshyiUrv paumlumltutcod Iuml g frac14draquoAgrave5Auml|AringAcircnAtildecediliquestehEgravefrac14draquo~frac14|Ecirc~frac14UIumlbyfrac14dAEligwAElig5iquesteaacuteIacuteIumliquestWagrave0Iuml Ucirc sup1currenAacuteUgravesup1raquoiquestWfrac14raquoiEcirctimesTHORNFIumlWETHBAtildecedilOcirc5AumldOumlPAuml|Aringfrac12AumldAElig_] uacute4^ JUiquestk`currenatilderaquoifrac14UgravenAtilde5AElig_]WagraveAgraveAacutesup1AcircnAtilde(Agrave5AumldraquoLAacuteAuml|Aringcedil0Igrave(AumlUEcircAtilde5frac12AElig_aIumlx4~rv p4PldrRtcoPl|WpoundUop4PldWoqodshyiUrv pTumltutcod iquest ndivideUuacuteyUzndivide Iuml

aacuteUacutefrac14dfrac12frac12frac14|Ecircsup1ciquest~szlig0IumliquestedIuml]atildeUAtildeAacuteIcirc~sup1frac14raquoiquest~frac14draquoiEcircZIuml g Atilde5IgraveNtildeAringcedilsup1G] uacute4^z^ UiquestS`atildeUIcircifrac14OumlPAtilde$Igrave(AumlUEcircAtilde5frac12sup1raquo~ordm0Ccedilgsup1AacuteIcirciexclOgraveregcedilAuml|raquoLAacuteOumlcedilAumldOumlifrac14dordm|frac14EumlAacutesup1Aumldraquo13]nfrac14ampfrac12AtildeAcircnAtilde5frac12AEligwAtildeAacuteEgravefrac14Ouml~OumlcedilAumlnfrac14dAgrave4Icirc13aIuml xQ|||~pwld lnrRtcodampodsectgldrRrv p 9Pl| ~tu9ldP j ln4Utreg]vx4~rvu t not v i4v Iordf iquest uacute z yiuacute+r UIuml

aacuteUacutefrac14draquoAEligwAuml|Aringcedilsup1Riquestagrave0Iumlfrac14draquo~EcircdIumlb$Auml|raquocedil4frac14|EcircS] uacute_^J^J^ iquestlaquo`currenaacuteAumldAacutesup1AumldraquoAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo`Ccedilgsup1currenAacuteIcirceumlfrac12Atilde5AcircnAtildefrac120AEligwAtilde AacuteAElig_aIuml igraveraquo13]x4~rv p4PldrRtcoPl|=ov pwv P4vNtildeodUacutex4shyl not vsectEgravepwo4v tu not Iumlcb$AumldEacutePAtilde|iquestednfrac14dOuml~frac14draquoIuml

aacuteAuml|raquoLAacute4frac14dordmdraquoifrac14ZAacuteiquestdIumliquestziexcl0IumlTHORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquestdfrac14draquo~EcircoNtildeIumlZagravegfrac34Ufrac14dAgrave4Icirc~AtildeJ] dividedugrave|ugraveUuacute iquest` agraveOslashcedilAtildeAcircsup1AtildeCcedilaeligAumldOgravePEcircAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeAEligwAringcedilwOgraveufrac14dAgrave5AtildeAElig_]AacuteAuml|OumlPAuml|frac12Aumldordmdfrac34Liquestgordm|AtildeAuml|Igrave(AtildeAacutewcedilwfrac34frac14draquoiEcirc EcircAtildeOgraveuAumlcedilIgravefrac14Aacutesup1Auml|raquoSaIuml x4shyl not vtimesldiOacuteumltutcododshy~rRtreg not0Inot v uacute_qw iquestuacuteugravendivide+y~uacuteugravezq|ugrave Iuml

aacuteAring~IgraveOgraveregAumldcedil4Ecirciquest=THORNFIumlgfrac14raquoiEcircdIumlatildeIcirc~frac14dIcircS] uacute4^ ^ iquest`currenmiddotOumlAacutesup1Igravefrac14frac12$frac14dOumlOumlcedilAumlicircsup1Igravefrac14Aacutesup1Auml|raquoAEligEacuteLfrac34Oumlsup1AtildeAgrave5AtildeCcedilgsup1AEligwAtildetimesAEligwIgrave(AumlLAumlAacuteIcircOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligFfrac14raquoiEcircOslashfrac14dAEligwAEligwAumlLAgravesup1Yacutefrac14ZAacuteAtildeEcircaringAcirc|frac14Zcedilsup1Yacutefrac14ZAacutesup1Auml|raquoifrac14frac12EgraveOumlcedilAumldEacute~frac12Atilde5Igrave(AElig_aIuml odshyNtildeshyFU~tR4lrRtcod~oaeligsectEgraveUpvUacuteldiEgraveni tsvw j ldrreg~v shy(lrRtccurrenshyt iquest rzr4y xJ q Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfa

yenKbrvbarsect =4 acirc $ zmiddotAEligwIcirc~AtildecediliquestdatildePIumlfrac14draquo~EcircdIumlnatildeAtilde AacuteIcirc~sup1frac14draquoS] uacute4^ ziquest` eacutecedilAuml|raquoLAacuteAEligeOumlcedilAumldOumlifrac14ordmnfrac14Aacutesup1raquoordmCcedilgsup1currenAacuteIcircFAgrave5AringcedilAcirc|frac14ZAacuteAringcedilAtildeEumlEcircAtilde5OumlPAtilde5raquoiEcircAtilde5raquoLAacuteBAEligwOumlPAtildeAtildeEcircS]

agravefrac12ordm|Aumlcedilsup1AacuteIcircIgrave(AEligEacute~frac14dAEligwAtildeEcircaumlAuml|raquoiexclampfrac14Igrave(sup1frac12AacuteAumldraquoEumldnfrac14Agrave5Auml|Eacutesup1eacute~AumldcedilIgraveNtildeAring~frac12frac14Aacutesup1Auml|raquoSaIuml poundUodUp4Pl|oqiexcloshyiUrsldrRtcoPl|sect=U~tc ordfenot iquest uacutedivide4yEqE^ Iumlfefrac14cedil4frac14ordm|sup1Auml|AElig5iquestoNtildeIumlfrac14draquo~EcircIacuteszligyIuml]THORNampAtildecedilsup1Agrave4Icirc~AtildeJ] uacute4^z^J^ iquest`s[Atilde5AumlUEcircAtildeAEligwsup1Agravefrac14AgraveAacutesup1AcircnAtildeFcedilAtilde5ordmdsup1Auml|raquo~AElig$OgraveregAumldcedil0Igrave(AumldAacutesup1Auml|raquoTAtilde5AEligqAacutesup1Igravefrac14Aacutesup1Aumldraquofrac14draquoiEcircAacutewcedil4frac14dAgrave4UgraveUsup1raquoordmAaIumligraveiacuteraquoS] x4rv p ildrRtcodil|-ov pwv P4vFodOslashodshyiUrv paumlumltutco Iumleh=AumldcedilwOgraveregAringgt[cedilAtilde5Atilde5Agrave5Atilde|Iumlfefrac14AacuteAtilde5Aringicirc]iquestatilde]Iuml] dividedugravedugrave|ugrave iquestpound`currenatildeOuml~frac14Aacutesup1frac14dfrac12AEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoTAumldOgrave=Agrave5Auml|frac12Aumlcedilysup1Igravefrac14ordm|Atilde5AEligampfrac14dAgrave5Agrave5Aumlcedil4Ecircsup1raquo~ordmAacuteAumlUacuteaacuteTHORNaringOgraveregAumldcedilIgravefrac14dfrac12currenEumlsup1AEligwIgraveaIumlyigraveraquo13] x4~rv p4PlrRtcodPld=od5v pv i vodododpFtu pwl4UtcldPx4shyl not vysectpqo v tu not Iumlatildefrac14dsup1raquoLAacute UumleAacutesup1Atilderaquo~raquo~Atildediquestieacutecedil4frac14raquo~Agrave5AtildedIumlfcedilAtildeAgrave5sup1Auml|AEligwAumliquesteacute=IumlEgravefrac14raquoiEcirc aacuteIacuteIumlcurrenZEgravefrac14cedilfrac12frac14dAring~EcircS] dividedugrave|ugraveUuacute iquest` Z-EumliacuteatildeUOuml~frac12sup1raquo~Atildeaumlfrac14dAgrave Aacutesup1Acirc|AtildeOtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAEligOgraveregAumldcedilOgraveRfrac14AEligqAacuteAcircUsup1EcircAtilde5AumltimesAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIumlOacuteigraveraquo13] x4rv p ildrRtcodil|od5v pv P4vaeligod x4shy(l not vUacutesectpqo4v 4tu not IumlETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1Riquest[cedilAtilde5Atilde5Agrave5Atilde|Iuml

szligAumldraquoOgraveufrac14cedil4EcirciquestszligyIuml] uacute_^J^q iquest` szlig9Atilde5ordmdsup1AumldraquoEumlsEacuteifrac14AEligwAtildeEcircFAEligqAacutewcedil4frac14ZAacuteAtilde5ordm|sup1Atilde5AEligeOgraveuAumlcedil-frac14dAgraveAacutesup1AcircnAtildeEgraveAgraveAuml|raquoLAacuteAuml|AringcedilIgrave(AumlUEcircAtilde5frac12AElig_aIuml x4~rv p4PldrRtcoPl|poundUodUp il|WoqodshyiUrv paumlumltutco I v dividezw iquest divideddividez^+yUdivide uacute Iuml

atildefrac14Igrave(AEligwAuml|raquoiquestzhIumliquestzIumlzZ=frac12frac14raquo~AgraveEumleacuteAtildecedil4frac14AringiEcirciquestJ[NtildeIumldagraveAringEacutePAtildecedilwAacuteiquestfrac14draquo~Ecirc dIumlJregPAtildecedilAring~Eacutesup1frac14I] dividedugravedugrave|ugrave iquest` agrave frac12Atilde5Acirc|Atilde5frac12UAEligwAtildeAacuteIgrave(AumlUEcircAtilde5frac12nOgraveregAumldcedilsup1Igravefrac14ordm|AtildeAgrave5frac12frac14dAEligwAEligwsup1siAgravefrac14ZAacutesup1Auml|raquo13aIuml x4~rv p4PlrRtcodPldpoundUodUp4Pl|BoqNtildeodshyiUrv pOtildeumltreg4tRod shy v Ew iquest uacute r4y~uacute4^Er Iuml

atildefrac14raquo~ordmdCcedilgsup1raquoAtilde|iquest9atilde]IumlEgravefrac14draquo~Ecircszlig0IumlampiexclAumldcedilraquoAtilde v Atilde5EcircAElig5Iuml w ] uacute_^J^ Uiquest ~vIacuteo|odUpaumltushyl not vipqo4v 4tu not ldP|m4oo4uml Iumlh=Icircifrac14dOumlIgravefrac14draquodegmacriexclampfrac14dfrac12frac12RIumlatildeAtildeAacuteIcircsup1frac14draquoiquestdIumlplusmn] uacute4^z^|ugrave iquestU` oAringIgrave(Atildecedilsup1Agravefrac14dfrac12Ufrac14frac12ordm|Aumldcedilsup1currenAacuteIcircIgrave(AEligWOgraveuAumldcedilOumlcedilAuml|Oumlifrac14ordmnfrac14ZAacutesup1raquoordmsup1raquoLAacuteAtildecedilwOgraveRfrac14Agrave5Atilde5AElig_]Jiexclampfrac14dIgrave(sup1frac12currenAacuteAuml|raquoEumldnfrac14dAgrave5AumldEacute~sup1

AtildeecircLAringifrac14Aacutesup1Aumldraquo~AElig-frac14draquoiEcircAgraveAuml|raquo~AEligwAtilde cedilAcirc|frac14ZAacutesup1Aumldraquo(frac12frac14CcedilgAElig_aIuml poundUodUp4Pl|]oqEgraveyen$t lv pv rRtcl| voshyv rRp~ iquest uacute4Uuacutey~uacute x uacute IumlatildeAtildeAacuteIcircsup1frac14draquoiquestAdIuml] uacute4^J^ xiquest kWvndvB]v r j v rregod IumlcurrenhEgravefrac14dIgraveNtildeEacutecedilsup1EcircordmdAtilderaquosup1AcircPIumlAfecedilAtilde5AEligwAElig5Iumlatildesup1Ecirc~Ecircsup1ecircUsup1Riquest4bIumliquest_yenNtildeIumlBfrac14Aring~Ocirc5sup1Gsup2AtildecedilAtilde|iquestagraveyIumlETHWfrac14draquoraquo~Atilde5raquoUEacute~frac14dAring~IgraveUacuteiquest5frac14draquo~EcircNtildeatildePIumlregPAring~Agrave4UgravenAtildecedil4] uacute_^J^ xUiquestE`currenagravegcedilAtildefrac149frac14draquoiEcirc$frac12Atilde5raquoordmdAacuteIcircyIgrave(sup1raquoEuml

sup1Igrave(sup1Ocirc5sup1raquoordm sup3iAumlCcedilgAEliggOgraveuAumldcedilAEligwIcircifrac14OumlPAtildeyAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo13aIuml xQ|||~pwl~ lnrRtcodoOtildex4shyl not vsectEgravepwo4v tu notordf v Ew iquest qEz+yqzqE Iumlyen=AtildeOcirc5Ocirc5sup1RiquestagraveyIumliquest5agrave0Iuml5ETHEgraveAEligfrac14dsup1Riquestfrac14draquo~Ecirc$agrave0Iuml Ucirc sup1frac12frac12AEligwUgraveLfrac34] uacute4^z^J^ iquestJ` agraveaeligAEligqAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12Ufrac14dOumlOumlcedilAumlnfrac14Agrave IcircampAacuteAumlgAEligwraquo~frac14dUgravenAtilde5AElig]OgraveuAumlcedilWEacutesup1Igrave(AumlUEcircfrac14dfrac12frac14draquoiEcircAacutewcedilsup1Igrave(AumlUEcirc~frac14frac12isup1Igravefrac14dordmdAtildecedilwfrac34aIumligraveraquo13] x4rv p ildrRtcodil|eodv pwv P4vyodx4shyl not vgsectpqo v tu not IumlAb$AumldEacutePAtildednfrac14dOuml~frac14draquoIumlreg]IcircUAringiquest]atilde]Iumlfrac14raquoiEcircaumlagrave0Iumleyen=Aringsup1frac12frac12AtildeJ] uacute_^J^ xUiquestpound` szlig9Atilde5ordmdsup1AumldraquotimesAgrave5AumldIgrave(OumlPAtildeAacutesup1currenAacutesup1Auml|raquo13]iAring~raquo~sup1currenOgraveYacutefrac34sup1raquoordmiexclAEligwraquo~frac14dUgravenAtilde5AElig5iquestPcedilAtildeordm|sup1Auml|raquoTordmdcedilAumlCcedilgsup1raquo~ordmiquestfrac14draquoiEcircZEgravefrac145frac34LAtilde5AEligacute|aacuteTHORNOgraveregAumldcedilIgraveFAring~frac12currenAacutesup1Eacuteifrac14raquoiEcirc sup1Igravefrac14ordm|AtildeTAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo13aIuml xQ|||micro~pwld lnrRtcodtimesosect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4v Icent iquesteJ q+yU^dugrave|ugrave Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfo

i $amp)(+-)013021+345627893lt=gt9A6CBfrac12OcircacuteIshyNT

frac12OcircacuteIltNTpara frac12frac34EMeJaumlQcYZYZjJUacuteQsY H [ ^QEgraveJLhZJUO H QcN H J H MeJordfXiacute[]fcfR[WQcO[Oslash^e[]ZaringNPQsOXiacutejOb H QR[]ONPfdaringocirc|adOuml times jOcircaacute uuml times a2atildeltszligaumlgtszliglOuml times j atilde auml

G QsObnJ H MJeumlYZJ H [SXIacuteNPfcfUacute^e[]ZaringNPQsOYMNPY Oe[ H N Y H hjb H jhZJ`[SXUPJUb H [PhQcNPfOtildeYZKNPbnJSefRJ H jYZ N`PJ H MeJeumlhZJ[]QR[]OYJUP[]fVUPJ H MehZ[]j[]M NrXqNSZaringQcfVm [SX H hNPOYYX[PhlZ N H QR[]OYa(|aagraveszlig jj emiddot iacuteaumlYlZOslash[[ H MaNPO^ centQ ~JUb H QVUPJS^ not [PhNOslashKEgrave[]QcO H $ aacute atildeshyszligaumlN eFWFJTOe[ H JSaring$ aagravej|aacutemiddot|aagraveszlig $ j WiexclQ H M |a s szlig $ jaacute $OumlcopytimesaagravejOcircaacutemiddot|aagraveszliglOumlutimesdj WiexclQ H M |a s szliglOumlcopytimesAjOcircaacuteAumlOumlutimes9J H jY H MeJUO^JOeJ H MeJordfUPJUfR[WbLQ H moUPJUb H [PhdY JUfs^kfrac12 YZjbM H MN H aringfrac12sup1aagraveszlig $ aagravejj|aacute aelig |aelig agrave aagraveszlig $ j YlaquoXiacuteNiharingNPY H MeJ bn[]ZOslashKj H N H QR[]O[SX H MeJ ^eJLhQU~N H QVUPJ QcYOslashbn[]ObnJLhOeJU^OeWFJNihZJQcOWVH JLhZJUY H JU^ QcO YYZaringNPfcfOtilde^JX[PhlZ N H QR[]OY^ J H MBjYJkWKNPO^ H MeJ H hNPOYX[PhZaringN H QR[]ONPbLbn[Ph^QcO[ H [hdY H [Ph^eJLh NmWfR[PhyacuteXiacute[PhlZtimesjfcNaring|aagraveszlig $ jpoundaacuteAElig|a s szlig $ j agrave aelig |aelig agrave a s szlig $ jaacute $ ragrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacute frac14 frac14 a s szlig $ j^ J H MeJUOQcO H hZ[W^jbnJ H MehZJLJgZ NPQcO^eJOQ H QR[]OYaringf^QMeJg0jfRJLhQcNPO^eJLhQU~N H QVUPJOtilde[SXocirc|adOuml times jordfaqQcO H MeJIacute^QRhZJUb H QR[]O[SXcedilfrac12jaring ocirc|adOumlcopytimesszlig_frac12jOcircaacutefcQZUcedil iacute ocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave admacrfj ^QMeJgZaringN H JLhQsNPfg^eJLhQVUiN H QVUPJOtilde[SXuumlStimesYa $ szliglOumlcopytimes)jaringsup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j|aacutefcQZUcedil iacute uumlStimesa $ ragrave3frac12ba $ jszliglOumlutimes agrave3frac12sup1a $ jj uuml]timesa $ szliglOumlcopytimesdjagrave admacr j^QMeJaumlYZMNiKEgraveJOtilde^eJLhQU~N H QVUPJOtilde[SXOcircuuml]timesa $ szliglOumlutimes)jaring

uumlnotraquotimes a $ szliglOumlcopytimesUcircszlig_frac12 jaacutefcQZUcedil iacute uumlStimesYa $ szliglOumlutimesragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave admacrS]j

uumlnyacutenthornnyumll13YSordmY_Fordfy

yenKbrvbarsect =4 acirc $ hq centUWQR[]jYZfVmSe-centmaJkBKNPO^QcO[ admacr jUacuteNPbLbn[Ph^QcOF[ H [hdY H [Phd^eJLhordfNmBfR[PhordfXiacute[PhlZtimesjfcNeWFJaumlMNUPJSaring sup1uumlStimesYa $ szliglOumlcopytimesUcircszlig_frac12 jaacuteAumluumlnotraquotimes a $ szliglOumlcopytimesszlig_frac12jhuumlStimesa $ szliglOumlcopytimes)j frac12sup1a $ j admacrj J H MeJUOabn[]ZOslashK-j H JZOslash[PhJaumlKhZJUbLQcYZJUfVm H MJ0jfRJLhQcNPO ^eJLhdQVU~N H QUPJauml[SXcopyocirc|adOumlcopytimesdj^ JMNUPJSaringocircOcircadOumlutimesaagravejj ocircOcircadOumlutimes)jagrave aacute fagrave = thorn yuml uuml times a $ aagravejszliglOuml times aagravejj $ uuml times a $ szliglOuml times j $ FH admacrSmacr]j5O H MJohY H QcO H J[PhdNPfdeltWFJZaringN`PJ H MeJU~NihdQcNicentfRJ bMNPO[PJ $ aagravejaacute $ agrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacuteethicirc7a2atildeshyszligaumlFjszligicirc cent a2atildeltszligaumlj eWMQcbdM[]QVUPJUYaring thorn yuml uuml]timesYa $ aagravejszliglOumlcopytimesYaagravejj $ aacute admacrS]j

5 uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlutimes agrave3frac12sup1a $ jjlt^eJ H ocirc a $ jlt $WMJLhZJocirc a $ jQcY H MeJgXiacute[]fcfR[WQcO[aringSNPbn[PcentQcNPOtZaringN H hdQkKaring

ocirc a $ jaacute oacute fcedilxagrave frac14 iacute oslashfrac14Uordm agrave frac14 iacute oslashfrac14 ugraveagrave frac14 iacute acircfrac14ordm fcedil agrave frac14 iacute acircfrac14 ugrave ocircNPO^ YZ[eFWNtildeJIacuteMNUPJSaring

^eJ H ocirc a $ jOcircaacute fUragravee^QVUKafrac34frac12sup1a $ jjragrave cent ^eJ H amacr frac12sup1a $ jjMJUOWNtildeJauml[Pcent H NPQcOOaring

fsQZcedil iacute ^eJ H ocirc a $ j fagrave aacute ^QVUKafrac34frac12sup1a $ jj admacr]zSjMJJBjN H QR[]OxadmacrSmacr]j H MeJUOcent=JUbn[]ZaringJUYaringocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave aacute fagrave middot uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jjlt 13raquo ocirc a $ jlt $ uumlStimesa $ szliglOumlcopytimesAj $ admacrSi]j JTbLNPO`YZjeKKEgrave[]YJ H MN H ^eJ H aocirc a $ jjfrac14aacute sfrac12 agrave frac12 $ ^ JZaringNm H MeJUO H N`PJ^eJ H aocirc a $ jjfrac34 s eNPO^ WNtildeJ ^eJUPJUfR[PK H MeJaJkWKhZJUYYZQR[]OadmacrSi]j NPYoX[]fsfR[WQsO[centmNP^^QcO[aringN H JLhZ QcO H MeJIacuteYZJUbn[]O^aQcO H J[PhNPfltWMQcfcJaumlYZjeKKhJUYZYZQcO[ H MeJtimesYZNSZOslashJ H JLhlZQcO H MJordfhY H QcO H J[PhNPfdaring ocirc|adOumlcopytimesYaagravejj ocirc|adOumlcopytimes)jagrave aacuteegraveOtildef1rOtilde cent admacrSh]j

uumlnyacutenthornnyumll13YSordmY_Fordf

s $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJSaring

Otilde aacute uuml]timesa $ ragrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave ^eJ H aocirc a $ jj $ ad s jOtilde cent aacute uuml]timesa $ szliglOumlcopytimesdj ^eJ H aocirc a $ jj fagrave $ adfj

9J H jY_ZaringN`PJordmagrave H JUO^ H [WNih^Y s ^curreniquestYZQcO[frac34admacrjiexclNPO^JOQ H Qc[]OYadmacr e macrS]jeWFJ[PJ H aringfcQZUcedil iacute Otilde aacute sup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j $

aacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ uuml times a $ szliglOuml times j frac12sup1a $ j $fcQZUcedil iacute Otilde cent aacute uuml]timesa $ szliglOumlcopytimesdj^QVUKafrac34frac12 j $

O^ Y[Xiacute[Ph H MeJgNtildejfRJLhQsNPO ^eJLhQVUiN H QVUPJSeWFJgO^Oaring ocirc|adOuml times szlig_frac12jumlaacuteyacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ amacrreguumlStimesYa $ szliglOumlcopytimes)j frac12sup1a $ j7 uuml]timesYa $ szliglOumlcopytimes)j^QVUKafrac34frac12sup1a $ jjj $aacute uumlnotraquotimes a $ szliglOuml times szlig_frac12j $ ^QVUKaduuml times frac12j $ ad j

MeJUO NiKKfVmWQcO[ H MJ hJLJUOWVAQRJZ NPOO H MeJL[PhZJZQcO ad jeWNtildeJ5ONPfcfmtimes[Pcent H NPQcOOaring ocirc|adOumlcopytimesszlig_frac12jOcircaacute uuml raquotimes a $ szliglOumlcopytimesUcircszlig_frac12j $ uacutefrac14 5 uuml]timesYafrac34frac12 eacuteAgraveiquestsup1AacuteAtildeAcircj THORN adS]jWMJLhZJ5eacuteAgraveiquestsup1AacuteAtildeAcircyQcY H MeJUacutejOQ H QcOOgraveWNih^ Oe[PhlZaringNPf H [ aelig OumlcopytimesUcirc^MeJ_NtildejfRJLhQcNPO ^eJLhQVUiN H QVUPJQcY(O[ H JU^ ocirc raquo aagravej(QcO H MeJaumlKNiKEgraveJLhNPO^ H MeJaumlYZMNiKEgraveJauml^eJLhQU~N H QVUPJyuuml raquotimes QcY(Oe[ H JU^ frac14 frac14 ^iquest acutemicrosup1cedilFLft not [PhyYQZOslashKfcQsbLQ H mSeWNtildeJ(bM[[]YJ H MeJcopyXiacute[]fcfR[WQcO[_U~NihQsN H QR[]OaeligQcO H MeJKhZ[B[SXaring$ aagravejaacute $ agrave3frac12sup1a $ j^MJiexclKh[[SXZaringNm NPfcYZ[IacutecentEgraveJiexcl^JUPJUfR[PKEgraveJU^WiexclQ H MZaring[PhZJ_[PJUOJLhNPfUiNihQcN H QR[]OYFYjbM NPYaring $ aagravejaacuteAacuteAgravea $ szligYagravejWQ H MAcircAgrave`NOslashYYZOslash[B[ H MXiacutejOb H QR[]ONPO^AcircAgravea szligYagravejcentQ ~5JUb H QVUPJS^

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ ffrac12OcircacuteIshyNT AcircE J(MNUPJ H [Otildebn[]ZOslashK-j H J H MJNtilde^QEgraveJLhZJUO HH JLhZaringY9[SXQa macr]j9QsOauml[Ph^eJLh H [Uacute[Pcent H NPQcO H MeJ

JUP[]fcj H QR[]OJBjN H QR[]O[SX H MeJ NPb H QUPJ bn[]O H []jehX[Ph H MeJ ^JUYZbnhQRK H [PhdYaumlcentNPYJU^Oacute[]OH MeJ(bn[U~NihQsNPObnJ ZaringN H hQVktimes^eJ H JLhlZ QcONPO H a2Ograveh]j^OgraveMeJ(bn[]ZOslashKj H N H QR[]OaringQcYampKEgraveJLhYXiacute[PhlZOslashJU^Xiacute[Ph H MeJIacute^eJUYZbnhQRK H [Ph_uuml thorn timesOslash yuml ^ q centUWQR[]jYZfmSeN YZQZ QcfcNihbn[]ZOslashKj H N H QR[]OabLNPOacent=JIacute^e[]OeJXiacute[PhOcircuuml thorn UgraveUcircUacuteUuml yuml ^ JiexclbLNPOaeligJkBKhJUYZYOcircuuml thorn timesOslash yuml NPYyNUacutebn[]ZTcent-QcON H QR[]Oaelig[SXgtXiacutejOb H QR[]OYamp^eJLKEgraveJUO^QcOF[[]O H MJOtildehZJ[]QR[]OwOuml timesOslash aring

uumlgtthorn times Oslash yuml a2atildeltszligaumlgtszligYagravejaacute`Ograveoacute m thorn timesOslash yumlaIgraveagrave thorn timesOslash yumlAtilde j cent ocirc adjWMJLhZJordmaacuteAuml85eWiexclQ H MAring8 H MeJordfXqjOb H Qc[]O QcO H h[B^jbnJU^ QcOpounda2Ograveh]je-NPO^aringm thorn timesOslash yuml aacute agrave thorn timesOslash yuml agrave thorn timesOslash yumlcent agrave thorn timesOslash yuml agrave thorn timesOslash yumlAElig agrave thorn times Oslash yumlCcedil agrave thorn timesOslash yumlEgrave agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlEgrave j cent agrave thorn times Oslash yumlcent aIgraveagrave thorn timesOslash yumlCcedil j cent agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlAElig j centWQ H MOaring EFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFH

agrave thorn timesOslash yuml aacute w$ thorn yuml aOtilde S times Oslash j cent atilde aumlagrave thorn timesOslash yumlcent aacute w$ thorn yuml aOtildeOgravecent Scenttimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yuml aacute w$ thorn yuml aOtildeS Stimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yumlAElig aacute w$ thorn yuml aOtilde S times Oslash jaOtildeOgravecent ScenttimesOslash j atilde aumlagrave thorn timesOslash yumlCcedil aacute w$ thorn yuml aOtilde S times Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlEgrave aacute w$ thorn yuml aOtilde cent S centtimes Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlAtilde aacute w$ thorn yuml atilde auml O^ Y[ H MJordfXiacutejOb H QR[]OY aelig thorn timesOslash yumlauml MNUPJ H MeJgXiacute[]fcfR[WiexclQcO[aeligJkBKhZJUYZYZQR[]OYaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

aelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlcent aacute aOtilde cent S centtimesOslash j centaelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlAElig aacute aOtilde S timesOslash jaOtilde cent S centtimesOslash jaelig thorn times Oslash yumlCcedil aacute aOtilde S timesOslash jaOtilde S timesOslash jaelig thorn times Oslash yumlEgrave aacute aOtildeOgravecent ScenttimesOslash jaOtilde13 StimesOslash jaelig thorn times Oslash yumlAtilde aacutemiddotf

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBnot h[]Z H MeJUYJaumlJkWKhZJUYYZQR[]OYeWFJOtildeJUNPYZQcfm ^eJU^jbnJ H MN H aring

$ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde aumlregaacute sEacutefrac12poundEcirc iuml

J H MeJUO MNUPJ H [Tbn[]ZaringKj H J H MeJ H JLhlZaringY eacute thorn times Oslash yumlauml XiacutehZ[]Z H MeJJkWKhZJUYZYQR[]OYamp[SXagrave thorn timesOslash yumlauml eWMQcbM fRJUNP^Y H [aringEFFFFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFFFFH

eacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideoslash aacute w$ thorn yuml uacute ouml $ordfdivideacirc uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIgrave yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H a timesOslash jjeacute thorn timesOslash yumlcent aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideacirc

aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIcirc yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideEuml aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideacirc thorn thorn uacute ouml $_divideIuml yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yumlAElig aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIuml aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideEuml uacute ouml $ordfdivideIuml thorn uacute ouml $_divideIcirc uacute ouml $ordfdivideIgrave yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlCcedil aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIcirc aacute w$ thorn yuml cent thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideacirc uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlEgrave aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIgrave aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideoslash uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlAtilde aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIacute aacute w$ thorn yuml thorn +ETH ouml $_dividethorn uacute ouml $ordfdivideIacute yuml Iuml 8 raquo aq^J H a timesOslash jj

O^centmJkWKhZJUYZYZQsO[ H MeJbn[UiNihQcNPObnJZaringN H hQVkpoundWQ H M H MJregXqjOb H QR[]OYagrave thorn timesOslash yumlauml NPYXiacute[]fcfR[WQcO[aring

timesOslashlaquoaacute 1NtildeNtildeNtildeNtildeNtildeNtilde3uacute ouml $ordfdivideoslashuacute ouml $ordfdivideIacute uacute ouml $_divideIumluacute ouml $_divideIacute uacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIumluacute ouml $ordfdivideIacute uacute ouml $_divideacircuacute ouml $_divideIacute uacute ouml $ordfdivideIgraveuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacute uacute ouml $_divideIgraveuacute ouml $_divideIacute uacute ouml $ordfdivideEumluacute ouml $ordfdivideIacute

6OgraveOgraveOgraveOgraveOgraveOgrave7 J H MJUO^eJU^jbnJSaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

eacute thorn times Oslash yuml aacute a fj thorn yuml ^eJ H aDC Ptimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlcent aacute a fj thorn centcent yuml ^eJ H aDC centcenttimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yuml aacute a fj thorn curren yuml ^eJ H aDC 4times Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlAElig aacute a fj thorn cent yuml ^eJ H aDC centtimes Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlCcedil aacute a fj thorn curren yuml ^eJ H aDC times Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlEgrave aacute a fj thorn centcurren yuml ^eJ H aDCcent4times Oslash j48 raquo aq^eJ H a timesOslash jjeacute thorn times Oslash yumlAtilde aacute amp^eJ H a timesOslash j48 raquo aq^eJ H a timesOslash jj

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ SWMJLhZJC EBtimesOslash QcY H MeJgZaringN H hdQk ^eJU^jbnJU^Xh[]ZOacutetimesOslasharingcentm YZjeKKhZJUYZYZQcOF[ H MeJyuuml UumlON hZ[WNPO^ H MJ I UumlON bn[]fcjFZaringOO^]MeJbn[]ZOslashKj H N H Qc[]OordmX[Ph H MeJ^eJUYZbnhdQRK H [Ph|uuml thorn UgraveUcircUacuteUuml yuml QcYyYQZaringQcfcNihNPO^WFJ H MeJUOOslashMNUPJNPfcf H MeJ(JkWKhZJUYZYZQc[]OY H [aumlbn[]ZOslashKj H J H MeJJUP[]fcj H QR[]OaeligJjN H QR[]OXiacutehZ[]Z H MeJg[PJUOJLhNPfOXiacute[PhlZIacutejfcNta macr]j^gtMQcYcopy[]QVUPJUY H MeJTJUP[]fcj H QR[]O JBjN H QR[]Osup1admacr s j^

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBΩ out

Objects

Γ

inΩ

inΩ

Background Part

-t not Upv copy ETHEgraveIcircAtildeampAacuteiacuteCcedil=AumlFcedilAtilde5ordm|sup1Aumldraquo~AElig9AumldOgravefrac14raquoUacutesup1Igravefrac14dordm|Atilde

Ω

Ω out (τ)Ω

(τ)in

N

Γ(τ)

Ω

N

v

w

N

-t not Upv ETHEgraveIcircAtildeyEcircAumldIgravefrac14dsup1raquo~AEliggfrac14raquoiEcircAacuteIcircAtilde$AcircnAtilde5AgraveAacuteAumlcedilAEliggsup1raquoUAcircnAumldfrac12AcircnAtildeEcircsup1raquoiexclAacuteIcirc~Atilde$EcircAtildecedilsup1Acirc|frac14ZAacutesup1Aumldraquo

uumlnyacutenthornnyumll13YSordmY_F2ordf

yenKbrvbarsect =4 acirc $ Smacr

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 Atilde|IumligraveAacuteAtildecedil4frac14ZAacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvyzU eacuteWsup1ordm|AringcedilAtilde5AEligfrac14iquest Eacuteiquest AgraveJ]iUumlAcircnAumldfrac12AringAacutesup1Auml|raquoOtildeAumlOgraveeAacuteIcirc~Atildeyfrac14dAgrave Aacutesup1Acirc|Atilde0AgraveAuml|raquoLAacuteAuml|AringcedilIgravefrac14raquoifrac14ordm|AtildeEcircUacuteEacuteLfrac34AacuteIcirc~AtildefTHORN$Uuml v qzqwsup1raquo~Agrave5frac12AringiEcircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquoifrac14frac12ampAacuteAtildecedilIgrave(AElig5IumlgeacuteWsup1ordm|AringcedilAtilde5AEligOtildeEcirc]iquest Atildediquest Ograve] g sup1AEligwAringifrac14frac12sup1Ocirc5frac14Aacutesup1Auml|raquo`AumldOgrave0AacuteIcirc~AtildeTAgrave5AumldcedilwcedilAtilde5AEligwOumlPAumldraquoiEcircsup1raquoordmAcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 OgraveuAring~raquoAgraveAacutesup1Auml|raquosup1raquo~Agrave5frac12Aring~Ecircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquo~frac14dfrac12ampAacuteAtildecedilIgrave(AEligraquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirc EacutePAtildeAacuteiacuteCcedil=Atilde5Atilde5raquo ugrave frac14draquoiEcirc divide JUiquestAEligwAring~Agrave4IcircTAacuteIcirc~frac14Aacute$AacuteIcircAtilderaquo~Atilde5ordm|frac14Aacutesup1AcircnAtildeAcircdfrac14dfrac12AringAtilde5AElig0frac14cedilAtildefrac12AumlCcedilEgraveAtildecedilyAacuteIcirc~frac14draquo uacutedivide Uacutefrac14raquoiEcircaumlAacuteIcirc~AtildeOumlPAumldAEligwsup1Aacutesup1AcircnAtilde(Aumldraquo~Atilde5AEligyfrac14ZcedilAtilde(Icirc~sup1ordm|IcircAtildecedilAacuteIcircifrac14raquo uacuteZdivide Iuml

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

Ecirc]Iumligraveraquo~sup1currenAacutesup1frac14dfrac12BAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 Atilde|IumligraveAacuteAtilde cedil4frac14Aacutesup1Auml|raquo ugravedugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not Upv ucirc eacuteWsup1ordmdAringcedilAtilde5AEligtimesfrac14iquest Eacuteiquest AgraveJ]ampUumlAcirc|Auml|frac12AringAacutesup1Auml|raquoAumlOgrave(AacuteIcirc~Atildearingfrac14AgraveAacutesup1AcircnAtildeOslashAgrave5Auml|raquoLAacuteAumldAringcedilIacuteIgravefrac14draquoifrac14ordm|AtildeEcirc`EacuteUfrac34AacuteIcircAtildeOcircfTHORN$Uumlv q w iquestiexclCcedilgsup1currenAacuteIcirc~AumldAringAacuteAacuteIcirc~Atildefrac14dEcirc~Ecircsup1Aacutesup1Aumldraquoifrac14dfrac12TAacuteAtildecedilIgrave(AElig5IumliexcleacuteWsup1ordm|AringcedilAtildeAElig Ecirc]iquest Atildediquest Ograve] g sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo AumlOgraveaeligAacuteIcirc~AtildeAgraveAumldcedilwcedilAtildeEumlAEligwOumlPAuml|raquo~Ecircsup1raquo~ordm AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 OgraveregAring~raquo~Agrave Aacutesup1AumldraquoeumlCcedilgsup1currenAacuteIcirc~Auml|AringAacuteIacuteAacuteIcircAtilde frac14|Ecirc~Ecircsup1currenAacutesup1Aumldraquoifrac14frac12FAacuteAtildecedilIgrave(AElig v raquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirceumlAEligwAring~Agrave4Icirc AacuteIcirc~frac14AacuteIgravefrac14icirc vOOtilde wpOumldivide z w Iuml

uumlnyacutenthornnyumll13YSordmY_F2

S $amp)(+-)013021+345627893lt=gt9A6CB

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIumligravesAacuteAtildecedil4frac14Aacutesup1Aumldraquogt ugrave|ugrave AgravedIumlieacuteWsup1raquoifrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12Acirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 AtildedIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIumlieacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvtimesLg sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo(AumldOgravePAacuteIcirc~AtildeAtildeAcircnAuml|frac12AringAacutesup1AumldraquoAumldOgravePAacuteIcircAtildeEgraveAgrave5Auml|raquoLAacuteAumldAringcedil-frac14draquo~EcircNtildeAacuteIcirc~AtildeEgraveAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 v Ccedilgsup1AacuteIcircAuml|AringAacuteAacuteIcircAtildeEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircFAacuteAtilde cedilIgrave w OgraveregAumldcedilEgraveAacuteIcircAtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoAumlOgraveAacuteIcircAtilde9Ograveufrac14dAgrave5AtildeAring~AEligwsup1raquo~ordmyAacuteIcirc~Atilde9Agrave5AumlZAcirc|frac14Zcedilsup1frac14draquo~AgraveAtildeIgravefrac14Aacutewcedilsup1currenicirc]Iuml

frac14Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcircnAtilde EacuteIumligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 v AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde w Agrave|Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacutefrac34 v Acircdfrac14cedilsup1frac14draquoAgrave5Atilde w-t not Upv h=AumldIgrave(Oumlifrac14cedilsup1AEligwAumldraquoOtildeAumldOgraveAacuteIcirc~Atilde$sup1raquo~sup1currenAacutesup1frac14dfrac12eAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34iexclAgrave5Auml|Igrave(OumlAringAacuteAtildeEcircAringAEligwsup1raquo~ordmAacuteIcirc~Atilde$AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde0Igravefrac14Aacutewcedilsup1currenicircv iordmdAringcedilAtildeFEacute w AacuteAumliexclAacuteIcircAtildeAuml|raquoAtildeFAgrave5AumldIgrave(Ouml~AringAacuteAtildeEcircTAringAEligwsup1raquo~ordmiexclAacuteIcircAtildeFAcircdfrac14cedilsup1frac14draquoAgrave5Atilde v ~ordm|AringcedilAtildeFAgrave w OgraveregcedilAumldIgrave AacuteIcirc~AtildeNtildeAEligfrac14dIgrave(Atildesup1raquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcirc|Atilde v iordmdAringcedilAtilde$frac14 w Iuml

uumlnyacutenthornnyumll13YSordmY_F2_a

yenKbrvbarsect =4 acirc $ ]z

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv Oslash| THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5AtildeccediliacuteAtildecedilsup1UgraveUegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_o

Si $amp)(+-)013021+345627893lt=gt9A6CB

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv ordf THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5Atildeccedilqfrac14dUgraveUsup1currenfrac34LAumldegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_y

RR-0114-SJEHANpdf
  • wwwi3sunicefr
    • httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf
Page 25: LABORATOIRE INFORMATIQUE, SIGNAUX ET SYSTEMES DE …mh/RR/2001/liste-2001.pdf · 2002. 6. 27. · [Dir01] DIRAT L. “Outils pour des Mathématiques Interactives et Distribuées”

yenKbrvbarsect =4 acirc $ fmacr[Pcent H NPQsO H MeJg[PJUOeJLhNPfgJkBKhJUYZYZQR[]OXiacute[Ph H MeJauml^JLhQVUiN H QVUPJOtilde[SXocircOcircaagravejaring

ocirc raquo aagravejumlaacute uacuteucirc thorn yuml aduumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn times Oslash yuml uumlgtthorn otilde)yuml d hreguumlgtthorn otilde)yuml eacuteHjaeuml eacutej THORN aacuteccedilaumlordfegrave eacute thorn timesOslash yumlauml uacuteucirc thorn yuml aelig thorn timesOslash yumlauml aeuml eacuteHj THORN acircccedilaumlordfegrave eacute thorn UgraveUcircUacuteUuml yumlauml uacuteucirc thorn yuml aelig thorn UgraveUcircUacuteUuml yumlauml aeuml eacutej THORN aacuteccedilaumlordfegrave -eacute thorn timesOslash yumlauml $ thorn yuml aelig aelig thorn

timesOslash yumlaumlaelig agrave atilde auml acircccedilaumlordfegrave eacute thorn UgraveUcircUacuteUuml yumlauml thorn yuml aelig aelig thorn

UgraveUcircUacuteUuml yumlaumlaelig agrave atilde auml a j^ ^ecirccopyEgraveEacuteshyIacuteIumlETH39shyIgrave8shyIgraveFEgraveEcirc+NtildeFETH3gt+QIgraveETHOEacute3iexclNtildeshyEgrave78QIcircETH9IgraveumlIgrave+EacuteltEumlETHshyETHEacuteshyOacuterIgrave5euml1ONtildeFETH32EacuteltOacuteEacute10wETH9Igrave Ntilde=KETH3gt+ltIgrave=EacuteshyOacuteshyETHEacute1EgraveMJ[P[]NPf[SX H MQsYampKNih H QcY H [aumlbn[]ZOslashK-j H J H MeJ(JkWKhZJUYZYZQc[]Oaelig[SX H MeJuUPJUfc[BbLQ H mUPJUb H [PheumlwWMQcbdMregZaringN`PJUY H MeJUacutebLjehYUPJJUP[]fVUPJOtildeNPYXiacuteNPY H NPYFKEgrave[]YZYZQRcent-fRJ H [WNih^Y(NZaringQcOQCZIacutejFZ[SX H MeJaeligbnhQ H JLhdQR[]Oumlocirc^KO`[Ph^eJLh H [ ^JU^jbnJ H MJyUPJUfR[WbLQ H mwUPJUb H [PhOtilde[SX H MeJaeligNPb H QVUPJbn[]O H []jehQXhZ[]Z H MeJF^eJLhQVUiN H QVUPJ0[SX H MeJNtildebnhQ H JLhQR[]OOeWFJMNUPJ H [5Z N`PJFNiKKEgraveJUNih H MeJUPJUfR[WbLQ H moUPJUb H [PhUacuteQcO H MJTfcNPY HH WNtilde[ ^e[]ZaringNPQcOaQcO H J[PhdNPfcY(centm JkWKhZJUYYZQcO[ H MeJZ NPYcentEgrave[]jO^NihYm QcO H J[PhNPfcY^FMQcYbLNPOaJUNPYZQcfVm centEgraveJauml^e[]OeJTjYZQcO[MJL[PhZJZigravefe-^[]ZaringNPQcOQcO H J[PhNPfcYbLNPOeumlNPfVWNmWYiexclcentEgraveJIacuteJkBKhJUYZYJU^ NPYcentEgrave[]jO^NihYm QcO H J[PhdNPfcY^gtiexcl[WFJUPJLheOXiacute[PhYZQCZOslashKfcQcbLQ H mSe-fcJ H jYbn[]OYZQc^eJLh H MeJaringbLNPYJUYgWMeJLhZJ H MeJUYJOslashfcNPY HH WNtilde[`QcO H J[PhdNPfcYOtildeNihZJJBjNPf H [currenLJLhZ[eOgraveWMQcbMaringMNiKKEgraveJUOYX[PhZOslash[]Y H hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhdQRK H [PhY^S5OH MN H bLNPYJSeNPbLbn[Ph^QsO[ H [ H MeJaeligQcOeJBjNPfcQ H m[SXvNPjbdMOgravemV G bdMOgraveWNih H currenSe H MeJXiacuteNPY H JUY H^eJUbnhJUNPYJa[SXocirc|aagravejOslashQcY [Pcent H NPQcOeJU^ XhZ[]Zecirca jOslashcentm bMe[B[]YZQcOF[beuml aacute ccedilyeacute WMQsbMfRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[aeligJUP[]fcj H Qc[]O JjN H QR[]OOaringaelig Yacuteaagravejaelig agrave aacuteFuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yuml uuml thorn otilde)yuml eacute aacuteccedilaumlordfegrave ETHeacute thorn timesOslash yumlauml aelig thorn timesOslash yumlauml acircccedilaumlordfegrave ETHeacute thorn UgraveUcircUacuteUuml yumlauml aelig thorn UgraveUcircUacuteUuml yumlauml lteacute a macr]jUcircX H MJ^eJUYZbnhQRK H [PhY$^e[TOe[ H ^eJLKEgraveJUO^times[]OregagravetaiacutehZJ[]QR[]OeV4QcO^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhYjeH MeJgiexcl hZJU^jbnJUY H [ H MeJordfXiacute[]fcfR[WQcO[aeligJkWKhZJUYZYQR[]OOaringaelig Yacuteaagravejaelig agrave aacuteigraveuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yumldn reguuml thorn otilde)yuml7 eacutelteacute a ]j

uumlnyacutenthornnyumll13YSordmY_FY

f $amp)(+-)013021+345627893lt=gt9A6CB JaeligbLNPO`O[ H QcbnJ H MN HH MeJtimes^eJLKEgraveJUO^eJUObnJauml[SX H MJIacute^eJUYZbnhdQRK H [PhY[]OwagraveeEgraveNPO^aY[ []OH MeJiexclbLjehYUPJJUP[]fcj H QR[]OOeQcO^jbnJUY0NP^^Q H QR[]ONPf H JLhlZaringYFQcO H MeJiexclJUP[]fcj H QR[]O JjN H QR[]O[SX H MJFNPb H QVUPJ(bn[]O H []jeh^SMeJNP^^Q H QR[]ONPf H JLhZaringYQX[]jO^IacuteQcOoa macr]jbLNPOOe[ H hZJUNP^QsfVmcentEgraveJtimes[Pcent H NPQcOeJU^ WMJUO H MeJOslash^mBONSZaringQcbLNPfampYZbMJZOslashJaringQcYOtildeQcO H hZ[W^jbnJU^eumlNX H JLh H MeJOslashbn[]ZaeligVKj H N H QR[]Oa[SX H MeJaelig^eJLhQVUiN H QVUPJaeligjYZQcO[o0jfcJLhVA9N[PhNPOF[PJIacuteJBjN H QR[]OY^MjYe-Q H QcY[SX=KhQZaringJOeJUbnJUYZYZQ H m H [TQcO H hZ[B^jbnJ H MeJ^mWONSZaringQsbLNPfeYZbMeJZaringJiexclQcO H [ H MeJbnhQ H JLhQR[]OQ H YZJUfVXiexclQcO[Phd^eJLh H [JUNPYZQsfVmsup1[PJ H H MeJUYJaNP^^Q H QR[]ONPf H JLhlZ Y QcO bLNPYJa[SXhJ[]QR[]OWV^eJLKEgraveJUO^JUO H ^JUYZbnhQRK H [PhdY^MNPO`BY H [ H MeJUYJeumlNP^^Q H QR[]ONPf H JLhlZaringYeWFJ`JUOYZjehZJH MeJordfXqNPY H JUY H JUP[]fcj H QR[]O [SX H MeJIacutebLjehYUPJ H [WNih^YiexclNZaringQcOQZIacutejZ [SX H MeJTbnhdQ H JLhQR[]OO^ JeumlbLNPO NPfcY[hZJZaringNihY` H MN H H MeJUPJUfR[BbLQ H m[SX H MeJ bn[]O H []jhQsOa macr]j bLNPOcentEgraveJ K=[]YQ H QVUPJ[PharingOeJ[]N H QVUPJS^|MQcYaeligNPO QcO H JLhZJUY H QcO[eumlKh[PK=JLh H mOacute[SXiexclhZJ[]QR[]OWVcent-NPYJU^NPb H QVUPJ bn[]O H []jehY^ q O H MeJ bn[]O H hNihYm H [ centEgrave[]jO^NihYmVcentNPYJU^7NPb H QVUPJ bn[]O H []jehdYehZJ[]Qc[]OWVcentNPYJU^7NPb H QVUPJbn[]O H []jehYOslashNPfcfR[WYZ[]ZOslashJKNih H Ytimes[SX H MeJ bLjehYUPJ H [YZMehQsO`WMQcfRJ[ H MeJLhY(JkWKNPO^O^FMjY H MeJaumlQcOQ H QsNPfcQVcurrenUN H QR[]O QcYfRJUYYbn[]OY H hNPQsOeJU^O^^ macr^iexclEacuteltIacuteETHNtildeFETHEacuteshyOacute Eacute10wETH9IgraveumlIgravesup1+shyEacuteltEumlETHETH3EacuteshyOacuterIgrave5euml1ONtildeFETH32EacuteltOacute0EacuteltEgravexIcircEacuteshyIacute5IgraveIgrave2shyNtildeshyIacuteEumlOgraveIgraveIcirclaquoEacute10C8ltIgraveIcircd=KEgrave(ETHEacuteltEgraveIcircMJu[P[]NPf[SX H MQsY$KNih H QsY H [timesbn[]ZaringKj H J H MeJiexclJUP[]fcj H QR[]O JjN H QR[]Oaring[SX H MeJNPb H QVUPJbn[]O H []jehOcircXiacute[Ph0Y[]ZOslashJ(JkeNSZOslashKfcJUY$[SX-hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhY^SgJ H jY H N`PJY[]ZaringJT^eJUYZbnhQcK H [PhY(^eJLKEgraveJUO^QsO[aelig[]O H MeJyZOslashJUNPOBSOtimesOslash [Phiexcl[]O H MeJgUiNihQcNPObnJjuFtimesOslash [SXH MeJOtildeJUP[]fUBQcOF[OslashhZJ[]QR[]OwOumlcopytimesOslashaagravejaringEFFG FFH SOtimesOslashKaagravejumlaacute iacute $ w$ thorn yuml Otilde atilde auml WiexclQ H M icirctimesOslashaacute w$ thorn yuml atilde aumlu centtimes Oslash aagravejsup1aacute iacute $ w$ thorn yuml aOtilde SOtimes OslashKaagravejj cent atilde auml^ macr^f^iumlordfcentltshyltAringordfregethIumlIgravecurrenRAringcentmicroETHfrac34IumlltlaquomicroRreglaquoNOacute]currenRlaquosectsup1jCcedilR RAringordfregL Rlaquo3shy JTbdMe[B[]YJ H MeJgXiacute[]fcfR[WQcO[OslashYJ H [SX^eJUYbnhQRK H [PhYaring

uuml thorn UgraveUcircUacuteUuml yuml ^e[BJUYOe[ H ^eJLKEgraveJUO^[]Owagraveuuml thorn timesOslash yuml aacutecntildeaLuOcenttimes Oslash j a zSjWMJLhZJampntildeaOgravejQsYNOslashKEgrave[]YZQ H QVUPJiexclXqjOb H QR[]O[SX$bLfcNPYYograve aj^MQcYiexclUPJUfR[WbLQ H mumlUPJUb H [PhOslashQcYaumlbn[]ZaringKj H JU^centmeumlhZJLKfcNPbLQsO[ H MeJ H JLhZaringYauml[SXga jgWQ H MH MeJUQch$JkBKhJUYZYZQR[]OY^ J hY H JkWKhZJUYZY H MeJ^eJUYZbnhQcK H [Ph|uuml thorn timesOslash yuml NPYyNTbn[]ZTcentQsON H QR[]O[SXamp^e[]ZaringNPQcOY(QcO H J[PhdNPfcYaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacutemiddot thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn timesOslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejjaacutecntildeoacute agrave thorn timesOslash yuml aagravejagrave thorn timesOslash yumlcent aagravejfocirc a i]j

uumlnyacutenthornnyumll13YSordmY_FPa

yenKbrvbarsect =4 acirc $ fzWMJLhZJSaring EFFG FFH agrave thorn timesOslash yuml aagravejpoundaacute w$ thorn yuml aOtildegta2atildeltszligaumlj SOtimes OslashaagravejjUcirccent atilde aumlagrave thorn timesOslash yumlcent aagravejpoundaacute w$ thorn yuml atilde auml a h]j O^ H MBjYaring aelig thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacuteacircaOtildeKa2atildeshyszligaumlFj S timesOslash aagravejjUcirccentaelig thorn timesOslash yumlcent a2atildeshyszligaumlKszligYagravej|aacute f ad s j Y5XiacuteNihaumlNPY H MeJOslash^e[]Z NPQcO`QsO H J[PhNPfsYUacute[SX H MeJOslash^eJLhQVUiN H QVUPJaelig[SX H MJXqjOb H QR[]OY aelig thorn timesOslash yumlaumlNihZJaumlbn[]ObnJLhOeJU^OeFWFJauml[Pcent H NPQsOOaringEFFFG FFFH w5$ thorn yuml frac14ltotildeouml $_divideoslashfrac14 atilde aumlordmaacute frac14ltugrave $frac14 w$ thorn yuml aOtildeKa2atildeshyszligaumlFj SOtimesOslashKaagravejj atilde aumlaacute sw5$ thorn yuml frac14ltotilde ouml $_divideacircfrac14 atilde aumlordmaacute s adfjMJ H JLhZaringY eacute thorn timesOslash yumlauml NPfcY[aringMNUPJ H [ cent=Jaumlbn[]ZaringKj H JU^OeNPO^tWNtildeJg[PJ H aringEFFFG FFFH eacute thorn

timesOslash yuml aacute w$ thorn yuml uacute ouml $_divideacircntilde raquo7ucirc uacute ouml $_divideoslashuacute ouml $_divideacircyacuteuuml atilde aumlaacutecntilde raquo aLu centtimesOslash jeacute thorn timesOslash yumlcent aacute w$ thorn yumlBthorn uacute ouml $_divideoslashthorn uacute ouml $_divideacirc yuml acirc ntilde raquo ucirc uacute ouml $_divideoslashuacute ouml $_divideacirc uuml atilde aumlregaacute u centtimes Oslash ntilde raquo aLu centtimes Oslash j

G QsObnJ H MeJOslash^e[]Z NPQcO`QsO H J[PhNPfsYiexcl[SX frac14ltotildeouml $ordfdivideoslashfrac14 NPO^ frac14ltotildeouml $_divideacircfrac14 NihZJaeligJBjNPf H [currenLJLhZ[poundadfjeWFJOtildebLNPO ^QRhZJUb H fVm bn[]ZOslashKj H J H MeJiexclUPJUfR[WbLQ H mregUPJUb H [Ph[SX H MeJOtildeNPb H QVUPJTbn[]O H []jehuXiacutehZ[]Za macr]jNPO^WNtildeJyO^Oaringaelig Yacuteaagravejaelig agrave aacuteuumlgtthorn timesOslash yuml uumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn otilde)yuml dacute uumlgtthorn otilde)yuml eacutentilde raquo aLu centtimes Oslash jaaOtilde SOtimesOslashj cent u centtimesOslash jcedilQeacute ad j5Otad jeOgraveWFJbLNPOaringhJZaringNihY` H MeJ(KhZJUYJUObnJ[SX H MJNP^^Q H QR[]ONPf H JLhlZntilde raquo aLuOcenttimesOslash jaaOtilde SOtimesOslashj cent u centtimesOslash jeacuteacirc^^ macr^ ^iumlordfcentltshyltAringordfregethIumlIgravecurrenRAringcentmicroETHfrac34IumlltlaquomicroRreglaquoNOacute]currenRlaquosectsup1jpoundn Rlaquo JTbdMe[B[]YJ H MeJgXiacute[]fcfR[WQcO[OslashYJ H [SX^eJUYbnhQRK H [PhYaring uuml thorn UgraveUcircUacuteUuml yuml ^e[BJUYOe[ H ^eJLKEgraveJUO^[]Owagraveuuml thorn timesOslash yuml aacutecntildeaOtilde S timesOslash aagravejj adS]j

uumlnyacutenthornnyumll13YSordmY_FPo

fi $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJampntildeaOgravejQsYNOslashKEgrave[]YZQ H QVUPJiexclXqjOb H QR[]O[SX$bLfcNPYYograve aj^ YKhZJUWQR[]jYZfVmSe H MeJlaquoUPJUfR[WbLQ H mfrac34UPJUb H [PhTQcYbn[]ZOslashKj H JU^eumlcentmhZJLKfsNPbLQcO[ H MJ H JLhZaringY[SXua jcopyWQ H M H MeJUQRh(JkWKhZJUYZYZQc[]OY^FMeJauml^JUYZbnhQRK H [Ph uuml thorn timesOslash yuml QcY(JkWKhZJUYZYJU^centmKaringuuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacutei thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn times Oslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejjaacutentildeoacuteOtilde agrave thorn timesOslash yuml aagravejagrave thorn timesOslash yumlcent aagravejfocirc adj

WMJLhZJSaring EFFG FFH agrave thorn timesOslash yuml aagravejpoundaacute w5$ thorn yuml Otildegta2atildeltszligaumlj atilde aumlagrave thorn timesOslash yumlcent aagravejpoundaacute w5$ thorn yuml atilde auml adSmacr]j O^ Y[aring aelig thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejOcircaacuteegraveOtildegta2atildeltszligaumljaelig thorn timesOslash yumlcent a2atildeshyszligaumlKszligYagravejOcircaacute f adS]jG QsObnJ H MeJordfXiacutejOb H QR[]OY aelig thorn timesOslash yuml NPO^ aelig thorn timesOslash yumlcent ^e[aringO[ H ^eJLKEgraveJUO^[]OtagraveeFWFJTMNUPJSaringEFFFG FFFH w$ thorn yuml frac14ltotilde5ouml $ordfdivideoslashfrac14 atilde aumlregaacute s

w$ thorn yuml frac14ltotilde5ouml $ordfdivideacircfrac14 atilde aumlregaacute s ad]zSjMJ H JLhZaringY eacute thorn timesOslash yumlauml NihZJ H MJUObn[]ZOslashKj H JU^eNPO^WFJauml[Pcent H NPQcOOaringEFFFG FFFH eacute thorn

timesOslash yuml aacute w$ thorn yuml thorn uacute ouml $ordfdivideacircntilde raquo7ucirc Otilde uacute ouml $ordfdivideoslashuacute ouml $ordfdivideacircyacuteuuml atilde aumlaacute thorn iacute $ w$ thorn yuml ntilde raquo aOtilde SOtimesOslashj atilde aumleacute thorn timesOslash yumlcent aacute w$ thorn yuml uacute ouml $ordfdivideoslashthorn uacute ouml $_divideacirc yuml acirc ntilde raquo ucirc Otilde uacute ouml $ordfdivideoslashuacute ouml $ordfdivideacirc uuml atilde aumlordmaacute ugrave $iacute $ w$ thorn yuml ntilde raquo aOtilde SOtimesOslashj atilde auml JUacutebLNPO H MeJUObn[]ZOslashKj H JUacute^QRhZJUb H fm H MJ_UPJUfR[WbLQ H mUPJUb H [Ph[SX H MeJUacuteNPb H QVUPJOtildebn[]O H []jhXiacutehZ[]Zigravea macr]j(NPO^WNtildeJyO^Oaringaelig Yacuteaagravejaelig agrave aacuteuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yumldacute uuml thorn otilde)yuml eacute aOtilde SOtimesOslashjicircFtimesOslash $ thorn yuml ntilderaquo)aOtilde SOtimesOslashjmiddotQeacute adSi]j

5O H MeJtimesKNih H QsbLjfcNihiexclbLNPYZJIacute[SXIcircntildeaOgravejuaacuteOslashScenteKWFJtimesMNUPJnntilde raquo aOgravejcopyaacute NPO^ H MeJLhZJXiacute[PhZJSeH MeJiexclNP^^Q H QR[]ONPf H JLhlZaringYebn[]ZaringQcO[gXiacutehZ[]Z H MeJ UiNihQcN H QR[]O [SX H MeJiexcl^eJUYbnhQRK H [PhYOcircWQ H MagraveeNihJJjNPf H [gcurrenLJLhZ[^[WNtildeJUPJLheWQsOordmZOslash[]Y H bLNPYZJUYe H MQsYyNP^^Q H Qc[]ONPf H JLhlZoslashQsYyOe[ H

uumlnyacutenthornnyumll13YSordmY_FPy

yenKbrvbarsect =4 acirc $ fhcurrenLJLhZ[^ not [PhaeligJkeNSZOslashKfRJSeampQVXUgraventildea]jaacute yuml Wiexcl cent eshyWiexclQ H MN`KEgrave[]YZQ H QVUPJ bn[]OY H NPO H eQWFJMNUPJSaring

ccedil aacuteFuumlgtthorn timesOslash yuml uumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn otilde)yuml uumlgtthorn otilde)yuml eacute aOtilde SOtimesOslashjicircFtimesOslash $ thorn yuml aOtilde SOtimesOslashj IcircAumlaOtilde SOtimesOslashj cent adSh]j^ ^~IacuteFEumlIgraveFIacute5IgraveFOacuteETHNtildeFETHEacuteshyOacuteAgraven13ETH9 ETH9IgraveumlEumlIgravesup1+ltIgraveFEumltIcircIgraveFETHbIacute5IgraveFETH9shyEacute18 YXqNih0NPY H MeJOBjFZOslashJLhdQcbLNPfeQZOslashKfcJZOslashJUO H N H Qc[]OtimesQsYybn[]ObnJLhOeJU^eSWNtildeJbLNPOZOslash[W^eJUf H MeJNPb H QVUPJaumlbn[]O H []jeh_WQ H MNPOJkBK-fcQcbLQ H KNihNSZOslashJ H JLhdQVcurrenUN H QR[]ObaN[PhNPO[]QcNPOXiacute[PhlZtimesjfcN~VH QR[]OKjaelig[Ph NPO QCZOslashKfcQcbLQ H []OeJraNtildejfRJLhQsNPO Xiacute[PhlZIacutejfcN H QR[]Ogtj^ G JLJra G J H MQcNPOOe5fhSh s jNPO^egraveaJUfcQcO[PJ HH J NPO^ _a[]O H N[]ON H e sSs fjX[PhaeligNPOQcO H JLhZJUY H QcO[eumlbn[]ZOslashKNihdQcY[]OcentEgraveJ H WFJLJUO H MeJ H WNtilde[ZOslashJ H M[B^Y^ iexclO[ H MeJLhOtildeQcO H JLhJUY H QcO[aringhJUBQRJW[]O H MeJtimes^Q=JLhJUO HZOslashJ H M[B^Y[SX$NPb H QVUPJIacutebn[]O H []jehQcY(Kh[PK=[]YZJU^ QcOpoundaw_[]O H N[]ON H J H NPfd^Ve sSs fj^iexclJLhZJSeWFJaumljYJ H MeJaumlfRJUPJUfYZJ H ZOslashJ H Me[W^ NiKKhZ[]NPbdM KhZ[PKEgrave[]YJU^centm q YMeJLhNPO^G J H MQcNPOa q YZMJLh NPO^ G J H MQcNPOe fhSiSi]j centj H hJ[]QR[]OWVcentNPYJU^ NPb H QVUPJeumlbn[]O H []jehdYZaringNmNPfcYZ[ centEgraveJQZOslashKfcJZOslashJUO H JU^7centmjYQcO[`XNtildeV4YK-fcQcOeJUYXiacute[PhaeligNPOJkWKfcQsbLQ H K-NihNSZOslashJnVH JLhQcurrenUN H QR[]O ayhZJUbLQc[]Y[ NPO^XNihfcNPj^Oe sSs fj^shyMJ`PJmeumlQc^eJUN [SX H MeJOslashfRJUPJUfampYJ HZOslashJ H M[B^QsY H [ QcO H hZ[W^jbnJaumlNPO`NPjkWQsfcQcNihYmXiacutejOb H QR[]O l a2atildeltszligaumlgtszligYagravejYZjbdM H MN H YacuteaagravejQcY H MJtcurrenLJLhZ[OacutefRJUPJUfYJ H [SX l ^OcircMJXiacutejOb H QR[]O l QsYaelig[SX H JUO bMe[]YJUO H [centEgraveJ H MeJYZQ[]OeJU^ ^QcY H NPObnJordfXiacutejOb H QR[]O[SXQYacuteaagraveje-NPO^ QsY H MeJUObdMNihNPb H JLhQVcurrenLJU^acentmKaring

YacuteaagravejOcircaacute a2atildeltszligaumljPO l a2atildeshyszligaumlKszligYagravejaacute s a2 s jMQcYOcirc0jfRJLhQcNPOordmXiacute[PhlZtimesjfcN H QR[]O KhZJUYZJUO H YFYJUPJLhNPfEgraveNP^UiNPO H N[PJUYga G J H MQcNPOOeKfhShS]j^not QRhY H fVmSe H MeJabLjehYUPJ l ZaringNmcenthJUN`[PhoZOslashJLhY[PJNPY H MJXiacutejOb H QR[]O l JUP[]fUPJUYeNPO^ H [PK=[]fc[S[]QcbLNPfbdMNPO[PJUYFNihZJ H MBjY$JUNPYZQsfVmOslashMNPO^fRJU^^ G JUbn[]O^fVmSe H MJJUP[]fVUWQcO[XqjOb H QR[]O l a2atildeshyszligaumlKszligYagravejNPfVWNmWY(hZJZaringNPQcOY(NlaquoXiacutejOb H QR[]O NPfcfR[WQcO[timesJltz bLQRJUO H OBjFZOslashJLhVQcbLNPfFYZbdMeJZOslashJUY^OcircMQRh^fVmSe H MeJ[PJL[]ZOslashJ H hQcb KhZ[PKEgraveJLh H QcJUYT[SX H MeJ bLjehYUPJSe$fcQV`PJ H MeJbLjehlU~N H jehJ NPO^ H MeJOslashOe[PhlZ NPfshyUPJUb H [PhordfJUfs^eacute e=bLNPO centEgraveJIacuteJUY H QZaringN H JU^euml^QRhZJUb H fmXiacutehZ[]Z H MeJTfcJUPJUfgYJ H XqjOb H QR[]Oaring aacute V ucirc l l uuml NPO^ eacuteecircaacute l l a2FfjMJJUP[]fsj H QR[]O JBjN H QR[]O H MeJUO centEgraveJUbn[]ZOslashJUYaringaelig l aagravejaelig agrave aacuteegraveccedilacute l a2 jMJregUPJUfR[WbLQ H msup1XiacutejOb H QR[]OxccedilEQcYIacutebn[]ZaringKj H JU^7[]OfVm[]O H MeJbLjehYUPJYacuteaagravejaumlcent-j H WFJbLNPO Jk H JUO^ Q H YFJkBKhZJUYZYZQR[]O H [ H MeJiexclWMe[]fRJUacuteQZaringN[PJOtilde^e[]Z NPQcOoOumlordf^[OslashQZOslashKfRJZaringJUO HH MeJIacutefRJUPJUf9YJ H ZOslashJ H Me[W^OeY[]fsj H QR[]OYuZtimesjY H centEgraveJgXiacute[]jO^ H [ bLQRhbLjZyUPJUO H Kh[PcentfRJZaringY

uumlnyacutenthornnyumll13YSordmY_FP

s $amp)(+-)013021+345627893lt=gt9A6CBbn[]ZaringQsO[ Xh[]Z H MeJpoundXqNPb HH MN H`H MeJYZQV[]OeJU^ ^QcY H NPObnJumlXqjOb H Qc[]O l QcYaOe[ H NY[]fsj H QR[]O[SX H MeJyiexcl a2 jeEgraveYJLJa []ZOslashJUYNPO^ not NPjF[PJLhNPYe sSsSs jyacuteXiacute[Phiexcl^J H NPQcfcY^5Oaelig[]jehWF[PhY`gte H MJuXiacutejOb H QR[]O l QcYamphZJUQsOQ H QcNPfcQcurrenLJU^TY[ H MN H Q H hZJZaringNPQcOYampNOtilde^QsY H NPObnJXqjOb H QR[]OenYZJLJ5aq jecentEgraveJLh H NPO^gcOtilde[PhdOeKhZ[PcentY H e sSs fJLcenthZJUjFUPJSe sSsSs jOXiacute[Ph^J H NPQcfcY[]O H MJOtildehZJUQcOQ H QsNPfcQVcurrenUN H QR[]O JBjN H QR[]OO^5Oeuml[Ph^eJLh H [QCZOslashKhZ[UPJaringOjFZaringJLhQcbLNPfJltz bLQRJUObmSeOWFJaringbn[]ZOslashKj H J H MeJOslashJjN H QR[]O[]O NIacuteONihhZ[Wcent-NPO^aringJUObLfc[]YZQcO[ H MJiexclfRJUPJUf s [SX H MeJUacutefRJUPJUf-YJ H XqjOb H Qc[]OO^ JUacuteNPfcY[jYZJZtimesjf H QRhZJUYZ[]fcj H QR[]O H JUbdMOQBjeJUYcentmZaringN`BQsO[ H MeJFNPb H QVUPJ(bn[]O H []jh$JUP[]fVUPJcopyhY H[]ONOslashfc[W hZJUYZ[]fcj H QR[]O QZ N[PJS^FMeJordfONPfbn[]O H []jeh[Pcent H NPQcOeJU^Xiacute[Ph H MQcYhJU^jbnJU^QZ N[PJaumlQcY H MeJUOjYJU^ NPYNPOQsOQ H QcNPfEgravebLjehYUPJordfXiacute[Ph H MJOtildehZJUNPfgYZQVcurrenLJaumlQCZaringN[PJS^

EparaacuteAgravegtmicrosup1acuteIKJcedilJT2MgtI MraquowMgtmicrosup1MAgravegtacuteIltacuteMgtPltAtilde iquest acuteAgravegtT2MKIshyAtildeAcirccedilAtildeacuteNicircMgtI cedilAEligMgtmicroOcircacuteOgraveJTCJT13MKI sup2OcircacuteJordfsacuteacuteI Jfrac14ltacutegcedilFLT2cedilIshyROgraveacuteAtilderaquoAMLBqoLacute13AtildeR]cedilsup32acute GmicrobcedilAgraveacuteAtilde5O H MQcYUacuteYJUb H QR[]OOeOWFJOslashKhZ[PKEgrave[]YJaeligY[]ZOslashJOslashhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhY H [YJ[iVZOslashJUO H M[]ZOslash[S[PJUOeJL[]jYiexclhZJ[]QR[]OYiexcl[]Ofrac34[PhZJmBYbLNPfRJIacuteQZ N[PJUY^gtMJUYJIacute^eJUYbnhQRK H [PhYiexclNihZJcentNPYZJU^[]O H MJZaringQcOQZaringQVcurrenUN H QR[]O [SX H MeJU~NihdQcNPObnJUYauml[SX H MJ H WF[`bn[]OYZQc^eJLhZJU^OacutehZJnV[]QR[]OY^ 5O H MJ7YJUbn[]O^ K-Nih H e H MJQZOslashKEgrave[Ph H NPObnJOacute[SX H MeJNP^^Q H QR[]ONPf H JLhZaringYebn[]ZaringQsO[XiacutehZ[]Z H MeJiexclU~NihdQcN H QR[]O [SX H MeJUacute^eJUYZbnhQcK H [PhYWQ H M H MeJiexclJUP[]fUBQcOF[IacutehZJ[]Qc[]OYeQcY9MQV[]MfcQ[]M H JU^O^ G QCZOslashKfRJJkWNSZaringKfRJUY9YMe[W H MeJ0QZOslashKEgrave[Ph H NPObnJ$[SX H MeJUYJ0NP^^Q H QR[]ONPfH JLhlZ Y H [ NPbMQRJUPJ H MeJOtildeJkWKEgraveJUb H JU^aYJ[]ZaringJUO H N H QR[]O^^f^laquoIgraveIcirc=KEgrave(FETHOEacuteltEgraveIcircEcircgtNtildeltIcircIgrave8 EacuteshyOacute ETH9Igravek+NtildeshyEgrave13NtildeshyOacute=KIgraveC0EacuteshyEgraveh4ltEgraveOIgravesup1QIcirc=NtildeltEumlOgraveIgrave2Iacute Ntilde4ltIgraveIcircMJQcO H JUOYZQ H mregXiacute[Phu[PhZJmWYZbLNPfRJaumlQZ N[PJUY(QcYhZJLKhZJUYZJUO H JU^centm NlaquoXqjOb H QR[]OOtilderegaringOgraveOumlOtilde 13ordfcentwntilde Otilde 13laquo^ JaKhZ[PKEgrave[]YJ H [bZaringQcOQZaringQVcurrenLJ H MeJU~NihdQcNPObnJUYOslash[SX H MeJ H WF[bn[]OYZQc^WVJLhZJU^ Me[]Zaring[S[PJUOeJL[]jY hZJ[]Qc[]OY QcO [Ph^eJLh H [YJ[]ZOslashJUO H H MeJZ^uMJXiacute[]fcfR[WQcO[^eJUYbnhQRK H [PhY(NihJaumlYZj[S[PJUY H JU^OaringEFG FH uuml thorn UgraveUacuteUuml yuml aacutecntildeaLuOcentUgraveUacuteUuml juuml thorn times Oslash yuml aacutecntildeaLuOcenttimes Oslash juuml thorn otilde)yuml aacutecb a2Ograve]jWMJLhZJjntildea]jQcYNOslashKEgrave[]YZQ H QVUPJordfXiacutejOb H QR[]O [SX$bLfcNPYZYEacuteograve aOtilde 13yj(NPO^kb`NOslashKEgrave[]YZQ H QUPJaumlbn[]OWVY H NPO H ^MJTbn[]ZOslashKj H N H Qc[]O[SX H MeJUPJUfR[BbLQ H mUPJUb H [PhaumlQcY^JU^jbnJU^tXiacutehZ[]Z H MeJIacutebn[]ZOslashK-j H N~VH QR[]O`[SX H MeJaelig^eJLhQVUiN H QVUPJIacute[SX H MeJtimesbnhdQ H JLhQR[]Opoundocirc7^eJUPJUfR[PKEgraveJU^ QcO G JUb^^ macr^feWMQsbMfRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[aeligJUP[]fcj H Qc[]O JjN H QR[]OOaringaelig Yacuteaagravejaelig agrave aacuteethntildeaLu centtimesOslash j ntildeaLu centUgraveUcircUacuteUuml jb ntilderaquo)aLu centtimesOslash jaaOtilde S timesOslash j cent u centtimesOslash j ntilde raquo aLu centUgraveUcircUacuteUuml jaaOtilde SUgraveUcircUacuteUumlj cent u centUgraveUacuteUuml jIcirc13eacute a2Sj

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ fMJiexclYZQcOF[]fRJiexclK-NihNSZOslashJ H JLhcopyWNtildeJOtildeOeJLJU^ H [aringNP^~ZjY H QcY H MeJUacuteYYZOslash[B[ H MQcO[timesKNihNSZOslashJ H JLhb^5OregXqNPb H e H MeJ X [W ethb MNPY H MeJiexclKhZ[PKEgraveJLh H QRJUYNtilde[SXYYZOslash[B[ H MQcOF[IacutecentEgraveJUbLNPjYJOtildeQ H ZOslash[UPJUYH MeJUacutebLjehYUPJUacuteQcO H MeJUacute^QRhZJUb H QR[]O [SX9Q H YfRJUOF[ H MregXqjOb H QR[]ONPfQa G Qs^^QBQeJ H NPfd^VeOfhShS]j^^ ^~IacuteEacuteltEgraveETHOgraveNtildeltOacute=KIgravefrac34Eacute10frac34ETH9Igrave Ntilde8182ETHEacuteshyOacuteNtildeshyEumlETHIgraveFEgraveOIacute5Icirc5O[Ph^JLh H [7JU~NPfcjN H J H MeJ QZOslashKEgrave[Ph H NPObnJ`[SX H MeJ`NP^^Q H QR[]ONPf H JLhlZaringYX[Ph H MeJYJ[]ZaringJUO H N H QR[]OeuWNtildeJpoundZaringN`PJ H MJeumlNPb H QUPJbn[]O H []jehaJUP[]fVUPJ H MehZ[]j[]M H MJ iexcla2SjeQsObLfcj^QsO[ H MeJaumlNP^^Q H QR[]ONPf H JLhlZaringY^ q O H MeJUacute[ H MeJLhMNPO^OeWNtildeJaumlNPfcYZ[ZaringN`PJQ H JUP[]fUPJfrac34WQ H M H MeJwXiacute[]fcfR[WQcO[ WhZ[]OF[JUP[]fcj H QR[]OJjN H Qc[]O H MN H ^e[JUY Oe[ HQcObLfcj^eJ H MeJaumlNP^^Q H QR[]ONPf H JLhlZaringYaringaelig Yacuteaagravejaelig agrave aacuteethntildeaLu centtimesOslash j ntildeaLu centUgraveUcircUacuteUuml j`b Qeacute iuml a2Ogravemacr]jnot [Ph H MeJOtildeJkWKEgraveJLhQZOslashJUO H YeWFJ H N`PJntildeaOgravejOcircaacute ILK KafcediliexclOgravejWMQsbM[]QVUPJUYntilde raquo aOgravejaacutefdOafcedil]j(NPO^ H MeJgUiNPfcjeJOtilde[SX H MeJaumlKNihdNSZOslashJ H JLhEacutebaQcY(YJ HH [frac34f s ^OcirckBKEgraveJLhQCZOslashJUO H Y NihZJ KEgraveJLhYX[PhZOslashJU^ []O NYmWO H MJ H Qcb`QCZaringN[PJumlZaringNP^eJeumljeK [SXTNPO

Me[]Zaring[S[PJUOeJL[]jYYYBjNihZJ[SX9QcO H JUOYZQ H mwf s []O NIacutecentNPbl`[PhZ[]jO^ [SX9QcO H JUOYZQ H mtf s ^ []NPjYZYZQsNPOOe[]QcYJUacute[SXUiNihQcNPObnJ s QcY(NP^^eJU^ H [ H MQcY(YmWO H MJ H QcbOtildeQZaringN[PJS^MeJOtildeJUP[]fcj H QR[]Oa[SX H MeJTNPb H QVUPJtimesbn[]O H []jehUacute^ehQUPJUOcentmpounda2SjQcYu[]QVUPJUO`QcO not QV[^ WMQcfRJ H MeJ[]OeJ`[Pcent H NPQcOeJU^ jYZQcO[ a2Ogravemacr]j QcYordm[]QUPJUO QcO not QV[^ ^ J bLNPO hZJZaringNihY`H MN H WMeJUO H MeJoiexclQsObLfcj^eJUY H MJ NP^^Q H QR[]ONPf H JLhZaringYe H MJ YYBjNihZJ QcYgWFJUfcfYJ[]ZaringJUO H JU^acirca not QV[^ ^bjeuWMeJLhJUNPYWiexclMeJUO H MeJ |iexclD^e[BJUY Oe[ H QsObLfcj^eJ H MeJUYJNP^^Q H QR[]ONPf H JLhZaringYwWFJ7[Pcent H NPQcO N bLQRhbLfcJOacuteQcOY H JUNP^ [SX H MeJ7JkBKEgraveJUb H JU^YYBjNihZJa not QV[^ ^bj^MeJUYJhZJUYZjf H YNtildebLNPOcentEgraveJcentEgraveJ HH JLh(jO^eJLhY H [[W^WMQcfRJNPONPfmcurrenUQcOF[ H MeJiexclUPJUfR[WbLQ H mUPJUb H [PhYUacute[SXNtildeJUNPbMJUP[]fsj H QR[]O JjN H QR[]OO^ Jaringbn[]ZOslashKNihZJ H MeJ H WF[ JUP[]fcj H QR[]OYiexcl[SXH MeJlaquoUPJUfR[WbLQ H mwUPJUb H [PhYauml^jehQcO[ H MeJaeligKhZ[PKN[]N H Qc[]Oeuml[SX H MeJOslashbLjehYUPJwa2WiexclQ H Me[]j HH MeJcentEgrave[]jO^NihYmVcent-NPYJU^ H JLhlZb j^MeJ(JUP[]fcj H Qc[]OOslash[SX H MeJNSZOslashKfsQ H j^eJ[SX H MeJyacuteUPJUfR[Wb|VQ H mregUPJUb H [Ph[SXQ|iexcla2SjFQsY[]QUPJUO QcO not Q[aqYj^ ^ ^OecurrenJSe Xfrac34]eWMQsfRJ H MeJOtildeNSZOslashK-fcQ H j^eJ[SX H MeJUPJUfR[WbLQ H mwUPJUb H [PhOtilde[SX||iexclacirca2Ogravemacr]jiexclQcY []QUPJUO`QcO not QV[aqYj^ ^ ^OecurrenJSe Xfrac34]^ JOslashbLNPO[PcentYZJLhYUPJ H MN HaringH MeJUPJUfc[BbLQ H msup1WiexclQ H Me[]j HaeligH MeJNP^^Q H QR[]ONPf H JLhlZaringY QcYaeligNbn[]OY H NPO HWMJLhZJ [PcentUWQR[]jYfVm H MJaQZaringN[PJfrac34XJUN H jehJUY ^e[OacuteO[ H NiKKEgraveJUNih^ q O H MeJabn[]O H hNihYmH MeJaumlQCZaringN[PJordfXJUN H jhZJUYuWFJUfcfNiKKEgraveJUNihQcO H MeJordfUPJUfR[WbLQ H m QcObLfcj^QcOF[ H MeJaumlNP^^Q H QR[]ONPfH JLhlZ Yya not QV[aqYj^ ^ ^OecurrenJSe Xfrac34jiexclNPO^ Y[ H MeJaumlYljNihJTbLNPO centEgraveJordfWNtildeJUfsfYJ[]ZOslashJUO H JU^O^MeJyKhZJUWQR[]jYEgravehJUYZjf H YgYMe[W H MN H Q H QcY[SXeKhQCZOslashJ$OeJUbnJUYZYZQ H m H [ H N`PJQcO H [NPb|Vbn[]jO H0H MJNP^^Q H QR[]ONPf H JLhZaringYeWbn[]ZaringQcO[XhZ[]Z hZJ[]QR[]OeV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhYeQcO[Phd^eJLh H [ hZJUNPbdMaN H hdjeJgZaringQcOQCZIacutejFZ [SX H MeJaumlbnhQ H JLhdQR[]OO^

uumlnyacutenthornnyumll13YSordmY_F

S $amp)(+-)013021+345627893lt=gt9A6CBEIumlparaacuteAgravegtmicrosup1acuteIKJcedilJT2MgtI MraquoordfAEligMgtsup32MLwMKmicrobMgtAgraveacuteIshyacuteMgtPltAtilde iquest acuteAgraveKT13MKIshyAtildeAcirclaquocedilFAtildeacuteNicircMKIJfrac14ltacutepoundAEligMAringcedilFLT2cedilIltR]acuteHcedilJLTOcircfrac12sup3T13ROgravecedilJT2MgtI JMAgraverltcedilFR]acuteacuteJacuteR]JT2MgtIicircT2ItT2NQacuteM paraacutePshyacuteIltR]acuteAtildeMQcY0K-Nih H ^eJUNPfcYWQ H M H MeJOtildeYJ[]ZOslashJUO H N H QR[]O [SXMe[]ZOslash[S[PJUOeJL[]jY(hZJ[]QR[]OYQcOZtimesjfuVH QcYZK=JUb H hdNPfQZaringN[PJUY^ YNPOaJkWNSZaringKfRJSeWFJIacuteYZMe[W H MN HiexclH MeJTbn[UiNihQcNPObnJZaringN H hQVkbLNPOacent=JIacuteNUPJLhYm KEgrave[WFJLhYXqjf H [B[]f H [ YJ[]ZOslashJUO H Me[]Zaring[S[PJUOeJL[]jYbn[]fR[PhiexclhJ[]QR[]OY^F5OXqNPb H e H MeJtimes^eJ H JLhlZaringQsONPO H [SX H MeJTbn[U~NihQsNPObnJZ N H hQkKhZ[UPJUY H [ centEgraveJIacuteNaringhJUfRJU~NPO Hbn[]fR[PhaelighZJ[]Qc[]O7M[]ZOslash[S[PJUOeJUQ H msup1ZOslashJUNPYZjhZJZOslashJUO H a G NPO[SWQcOeJ NPO^r[PhdOeJSeufhShSi]j^_`QcOQZ QVcurrenUQcO[ H MQcYjNPO H Q H m ZOslashJUNPOY H MN H WFJwWNPO HH [^eJUbnhZJUNPYJ H MeJeumlbn[]ZaeligVKfcJkWQ H m[SXUacuteNeumlhZJ[]QR[]Oa hdNmJ H NPfd^Ve sSs fampN H JUjke sSsSs j^MQcY H [B[]fuZaringNmKhdNPb H QcbLNPfcfVm cent=JaumljYJU^X[Ph XiacuteNPbnJtimes^eJ H JUb H QR[]OaQsO QZaringN[PJaumlYJBjeJUObnJUY^macr^f^laquoIgraveIcirc=KEgrave(FETHOEacuteltEgraveIcircEcircgtNtildeltIcircIgrave8 EacuteshyOacute ETH9IgraveAgrave=Eacute3+NtildeshyEgrave13NtildeshyOacute=KIgravefrac34Iacute_NtildeFETHEgraveEcirc20EacuteshyEgrave=EacuteshyEumlEacuteshyEgrave2Iacute Ntilde4ltIgraveIcircMJQcO H JUOYZQ H mxXiacute[Ph bn[]fR[Ph QCZaringN[PJUYaringQcYOslashhJLKhZJUYJUO H JU^centm7NpoundXiacutejOb H QR[]OOtildeegravearingOumlOtilde 13ordfcent ntilde Otilde 13 WMeJLhZJ Otilde aacute Otilde szligYOtildeOgravecentszligYOtilde13ordf ^iexclXm NPONPfR[S[SmAumlWQ H M H MeJOacuteY H j^Fm Xiacute[Ph[PhZJmWYZbLNPfRJFQZaringN[PJUYeWNtildeJZaringQcOQCZaringQVcurrenLJ H MeJNtilde^J H JLhlZaringQcONPO H [SX H MeJFbn[UiNihQcNPObnJcopyZaringN H hQVk[SX H MeJTbn[]OYQc^eJLhZJU^hZJ[]Qc[]OY^ J5ZaringNmaringNPYYZjFZOslashJ H MN H JUNPbdM bn[]fR[PhFhZJ[]QR[]Oacute13 QsYOcircZOslash[W^eJUfcfRJU^OslashcentmOslashNg[]NPjYYZQcNPO^QsY H hQRcentj H QR[]Oeuml[SXyacuteZOslashJUNPOiexclSegraveaacute S szligPS cent szligPS NPO^7bn[UiNihQcNPObnJZ N H hQk5^MeJKh[PcentNicentQcfcQ H maring^eJUOYQ H moXiacutejOb H QR[]O QcYu[]QUPJUO centm H MeJgXiacute[]fcfR[WQcO[aeligJkWKhZJUYZYQR[]OOaring

$ampamp aOtildejOcircaacute fa )( j +cent aq^J H ayacutejj cent JkWK- f aOtilde Sltj thorn aOtilde Sltj a2Ograve]jG [eZaringQcOQZaringQVcurrenUQcOF[ H MJbn[U~NihdQcNPObnJuZaringN H hQktimes^eJ H JLhlZaringQcONPO H [SX-NPOtimesJUP[]fVUWQcO[hJ[]QR[]ONiKKEgraveJUNihY H [OslashcentEgraveJNtimeshZJUfcJU~NPO HH [[]f H [ordmZaringN`PJ H MQcYFhZJ[]Qc[]O bn[]OUPJLhY[PJ H [WFNih^Y H MeJbLfR[]YZJUY H Me[]ZOslash[S[PJUOeJL[]jYbn[]fR[PhiexclhZJ[]QR[]OO^9J H jY$Oe[ H J timesOslash NPO^0copyUgraveUcircUacuteUuml H MJbn[UiNihQcNPObnJ5ZaringN H hQcbnJUYy[SX=hJUYKEgraveJUb H QVUPJUfVmordmOuml timesOslash aagravejNPO^tOuml UgraveUacuteUuml aagravejaring

atilde aacute213 u Patilde u centatilde u atildeu cent atilde u centcentatilde u cent4atildeu5 atilde u5centatilde u54atilde67 a2zSj

WMJLhZJSaringEFFG FFH u times aumlatilde aacute iacutefaring w aring thorn yuml aOtilde times S times atilde jaOtilde auml S auml atilde j atilde aumlS times atilde aacute iacutefaring w aring thorn yuml Otilde times a2atildeltszligaumlj atilde auml WQ H M aacuteiVIgraveOacute[Ph Kf5

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ J [PcentUWQR[]jYZfm`MNUPJacuteu times aumlatilde aacuteu auml timesatilde ^shy9J H jYaumlO[ H J ^eJ H a atilde j H MJ ^eJ H JLhlZaringQsONPO H [SXH MeJaumlbn[U~NihdQcNPObnJZ N H hQkWiexclMQcbMJkBKhJUYZYZQR[]O QcY H MJgX[]fsfR[WQsO[aring

^eJ H a atilde jumlaacute u Patilde u centcentatilde u 4atilde u centatilde u atilde u cent4atilde u Patilde u cent4atilde u cent4atilde u centcentatilde u atilde u atilde u 4atilde u centatilde u centatilde a2Ogravei]jnot jOb H QR[]OY [SX H MeJeumlbn[UiNihQcNPObnJpoundZaringN H hQk ^eJ H JLhZaringQcONPO H YNihZJ jYJU^ NPY hJ[]QR[]O^eJUYbnhQRK H [PhY^ JIacutebMe[B[]YJ H MJordfX[]fcfc[WQcOF[aeligYZJ H [SX$^eJUYZbnhQRK H [PhYaringEFG FH uuml thorn UgraveUcircUacuteUuml yuml aacute98ordfaq^eJ H acopyUgraveUcircUacuteUumlAjjuuml thorn timesOslash yuml aacute98ordfaq^eJ H a timesOslash jjuuml thorn otilde)yuml aacuteOslashb a2Ograveh]jWMJLhZJ8ordfaOgravejFQcYNOslashKEgrave[]YZQ H QVUPJiexclXiacutejOb H QR[]O [SXampbLfcNPYZYograve aOtilde 13yjFNPO^Cb`NOslashKEgrave[]YZQ H QVUPJOtildebn[]OWVY H NPO H ^gJ H jYNtildeOe[W WhQ H J H MeJJUP[]fcj H Qc[]OaringJBjN H QR[]O [SX H MeJiexclNPb H QUPJbn[]O H []jehcentmbn[]ZOslashK-j H QcO[ H MJIacute^QEgraveJLhZJUO HH JLhlZaringYiexcl[SX_a j^J H NPQcfcYiexcl[SX H MeJIacutebn[]ZaringKj H N H QR[]O bLNPOcentEgraveJgXiacute[]jO^QsOaNiKKEgraveJUO^QVk X5^gtMJaumlJUP[]fcj H QR[]O`JBjN H QR[]O[SX H MJIacuteNPb H QVUPJaeligbn[]O H []jhQcY H MJgX[]fsfR[WQsO[aringaelig Yacuteaagravejaelig agrave aacute8gaq^eJ H atimesOslashjj 8ordfaq^eJ H a UgraveUcircUacuteUuml jj`b admacr s jlt8Icircraquodaq^eJ H a times Oslash jgt= ccedil A B egrave aOtilde S timesOslash jaOtilde B5 S BtimesOslash jB^eJ H aDC EBtimesOslash ja fj BGFH amp^eJ H atimesOslashj48 raquo aq^eJ H atimesOslashjj 8Icircraquodaq^eJ H a UgraveUacuteUuml jgt= ccedil I B egrave aOtilde Eacute S UgraveUcircUacuteUuml jaOtilde B S BUgraveUcircUacuteUuml jB^eJ H aDC JBUgraveUacuteUuml ja fj BKFH amp^eJ H a UgraveUcircUacuteUuml j48 raquo aq^eJ H a UgraveUcircUacuteUuml jjcedil13eacuteMJZaringN H hdQkLC JBatilde QsY ^JU^jbnJU^icircXh[]Z H MJeumlbn[U~NihdQcNPObnJbZaringN H hdQkM atilde centm YZjeKeVKhJUYZYZQcO[ H MeJ uuml UumlON hZ[WENPO^ H MeJ I UumlON bn[]fcjFZaringO^MeJeumlfcNPY H Xiacute[]jeh fsQcOeJUY [SX H MeJJBjN H QR[]ONihZJ H MeJOtildeNP^^Q H QR[]ONPf H JLhZaringY(bn[]ZaringQcO[XiacutehZ[]Z H MeJiexclU~NihQsN H QR[]O [SX H MeJOtilde^eJnVYZbnhdQRK H [PhYWiexclQ H Mordmagrave^ Y0Q H MNPYycentEgraveJLJUOOslashKhJUBQR[]jYZfVmTKhZ[UPJU^X[Ph[PhZJmWYZbLNPfRJiexclQCZaringN[PJUYeH MeJUYZJ H JLhlZaringYMNUPJ H [ cent=Jaumlbn[]OYZQc^eJLhZJU^ QsO[Ph^eJLh H [regZ N`PJ H MeJTNPb H QUPJTbn[]O H []jhbn[]OUPJLhY[PJ H [WFNihd^YNZ QcOQZtimesjFZ [SX H MJTbnhQ H JLhQc[]OO^macr^ ^~THORNUgrave2FIgraveFEgrave2Iacute_IgraveFOacuteshyETHOgraveNtildeshyEumlEgraveOIgraveIcircdEumlETHOIcircnot [Ph H MJ JkWKEgraveJLhQZOslashJUO H YeQWNtildeJ H N`PJCntildea]jordmaacute ILK Kaf[]jgWMQsbMsup1[]QVUPJUYnntilde raquo aOgravejaacutefdOafWOgravej(NPO^8ordfaOgravejaacute ILK KafIcirch cent juWMQcbdMt[]QVUPJUY8 raquo aOgravejaacute ETHOafIcirch cent j^ JbdMe[[]YZJ bbaacute f s ^QMeJaringbn[]fR[PhtimesYKNPbnJ YJUfcJUb H JU^QcYaQPszlig l szligicirclaquojeltWMeJLhZJwaOtilde aacuteRPordmjhZJLKhZJUYJUO H Y H MeJfsjFZaringQcONPObnJNPO^waOtildeOgravecent5aacute l j$NPO^frac34aOtildeS aacuteOslashicircj$hZJLKhZJUYJUO HyH MeJ H WF[bdMehZ[]ZaringQcONPObnJUY^ not [Ph H MeJbn[]ZaringKj H N H QR[]OOslash[SX H MeJuUiNihQcNPObnJSei[]Ofm H MeJfcjZaringQcONPObnJQcY(jYJU^O^

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CB5Oaring[Phd^eJLh H [aeligYJ[]ZOslashJUO H NPO Me[]ZOslash[S[PJUOJL[]jY0hJ[]QR[]OOeOgraveWFJiexclY H Nih H WQ H M NPO QcOQ H QcNPf

bLjehlUPJ0QcOYZQs^eJ H MJ0hZJ[]QR[]Oauml[SXWQsO H JLhZJUY H ^MeJybLjhYUPJ0QcY H MJUOTYZjeKK=[]YZJU^ H [JkWKNPO^jO H Qcf(Q H hJUNPbMeJUY H MeJ centEgrave[]jO^NihlmOacute[SX H MeJabn[]ObnJLhdOeJU^ Me[]Zaring[S[PJUOeJL[]jYaringhJ[]QR[]OO^MJtimesbLjehlUPJtimes^e[BJUYUacuteOe[ H [P[cent=JmP[]O^ H MJUYJaeligcent=[]jO^NihQRJUYiexclYZQcObnJSe=[UPJLh H MeJLhZJSe H MeJbnhQ H JLhQR[]OOacuteQsObnhZJUNPYJUYtimescentEgraveJUbLNPjYJ H MeJU~NihdQcNPObnJOcircu centtimesOslash [Ph H MeJ bn[U~NihdQcNPObnJtZaringN H hQVk^eJ H JLhZaringQcONPO H ^eJ H atimesOslashjUcirccentOtildeQsObnhZJUNPYJS^MeJaringNPfV[P[PhQ H MZEcentNPYJU^[]O H MeJ bn[UiNihQcNPObnJZaringN H hQVkeumlQcYaumlK=JLhlX[PhlZaringJU^euml[]ONPOQZ N[PJ [SX H MeJUBQs^eJL[`YJBjeJUObnJrnN`WQVmP[]peumlQcO[Ph^JLh H [euml^eJ H JUb HaeligH MeJYKEgraveJUN`PJLhUTYXqNPbnJS^gtMJaumlJUP[]fcj H QR[]O[SX H MJIacutebLjehYUPJIacuteQcYu[]QVUPJUO QcO not QV[^ macr^gtMeJTbn[]O H []jehiexclJUP[]fUPJUYH [ONPfcfVmbn[]OUPJLhY[PJaelig[]O H MeJIacutecent=[]jO^NihQRJUY[SX H MJyXqNPbnJa not QV[^ macr^bj^OMeJyXiacuteNPbnJaeligQcYH MeJUONPbLbLjehdN H JUfVm YZJ[]ZOslashJUO H JU^^FMeJUacuteNSZOslashKfcQ H j^eJ[SX H MeJiexclUPJUfR[BbLQ H m QsYFNPfsY[laquo[]QVUPJUOQcO not QV[aqYj^ macr^ ^OecurrenJSe Xfrac34jNPO^WNtildeJUacutebLNPO [PcentYJLhYUPJ H MN HFH MeJ5XiacuteNPbnJUacutehZJ[]QR[]O QcYUPJLhYmWFJUfcf^eJUfsQZaringQ H JU^regXhZ[]Z H MJ[ H MJLhhZJ[]QR[]OY^MJ5UPJUfc[BbLQ H m[]QUPJUO QcO not QV[aqYj^ macr^ ^OecurrenJSe XQcObLfcj^eJUY H MeJNP^^Q H Qc[]ONPf H JLhlZaringYFbn[]ZaringQcOF[yXiacutehZ[]Z H MeJ5UiNihQcN H QR[]O [SX H MeJiexcl^eJUYbnhQRKeVH [PhY5WQ H Magrave`centj H ^e[BJUYOtildeOe[ H QcObLfcj^eJ H MeJaeligcentEgrave[]jO^NihlmVcentNPYZJU^ H JLhlZ WMQcbMeumlQcYUacuteNYYZaring[[ H MQsO[ H JLhlZ^KMeJtimesNSZOslashKfcQ H j^eJOtilde[SX H MeJyUPJUfc[BbLQ H maQcYiexclOe[PhlZaringNPfcQcurrenLJU^ centEgraveJ H WFJLJUOs NPO^ macrSmacre$YZjbdM H MN HTH MeJ OeJ[]N H QVUPJoU~NPfcjJUYIacuteNihZJ fR[WFJLh H MNPO f i`NPO^ H MeJKEgrave[]YZQ H QUPJ[]OJUYNihZJTMQ[]MeJLh H MNPOpoundf i^ J bLNPObn[]ZaringKNihZJ H MJ QcOQ H QsNPfUPJUfR[BbLQ H m[Pcent H NPQcOJU^jYZQcOF[ H MeJ bn[U~NihQsNPObnJZaringN H hdQk admacr s juWQ H M H MeJOtilde[]OeJOtilde[Pcent H NPQcOeJU^jYQcO[ H MeJordfUiNihQcNPObnJrega2Sj^KMeJordfXqNPbnJTQcYOe[ H WNtildeJUfsf9^eJ H JUb H JU^QcO H MeJUPJUfR[BbLQ H m[Pcent H NPQsOeJU^ajYQcO[ H MeJUiNihQcNPObnJa not Q[^ ^bjWMJLhZJUNPYIacuteQ H QcYIacutehZJUNPfcfmumlWNtildeJUfcfF^eJ H JUb H JU^QsO H MeJQcOQ H QcNPfUPJUfR[WbLQ H m7jYZQcOF[ H MeJbn[iVUiNihQcNPObnJpoundZ N H hQk a not QV[^ ^currencentj^_MeJ UPJUfR[WbLQ H m [Pcent H NPQcOeJU^ jYZQsO[ H MeJumlU~NihdQcNPObnJ^e[BJUYOe[ H NPfsfR[W NPOJltz bLQRJUO H YJ[]ZOslashJUO H N H QR[]O`[SX H MeJyXiacuteNPbnJauml[]O H MeJaumlbn[]O H hNihYm H [H MeJIacutebn[UiNihQcNPObnJlaquoZaringN H hQk^eJ H JLhZaringQcONPO H WMQsbM H N`PJUYUacuteNP^UiNPO H N[PJaelig[SX H MeJtimesbn[]fR[PhQcOFX[PhlZ N H QR[]OO^macr^ ^WVFEumlETH=gtNtildeFETH32EacuteltOacuterETHEacute`0Ntilde=KIgravek8ltIgraveFETHIgrave5=KETH32EacuteltOacute~2Oacute+(8ltIgraveEacute IcircIgrave5euml1IgraveFOacute=KIgraveIcircMJa^eJUYZbnhQcK H [PhYOslashcentNPYZJU^[]O H MJ`bn[UiNihQcNPObnJZaringN H hdQkNihJ`QZOslashK-fRJZOslashJUO H JU^ H [^eJ H JUb H MBjFZaringNPO XqNPbnJUYQcO UWQc^eJL[OacuteYJBjeJUObnJUY^MQsYaring^eJ H JUb H QR[]OegraveZaringNm cent=J`jYJU^Xiacute[PhtUWQc^eJL[ bn[B^QcO[ H [JUObn[W^eJYJUfcJUb H QVUPJUfVm H MeJOacuteMBjFZaringNPOegraveXqNPbnJS^ not [Ph`N []QVUPJUObn[]ZOslashKhZJUYZYZQR[]OOacutehN H QR[e H MeJoXiacuteNPbnJbLNPO7cent=J H hNPOYYZ Q HH JU^bWiexclQ H MN MQV[]MJLhThN H J H [H MeJ^eJ H hdQZOslashJUO H [SX H MeJcentNPbl`[Ph[]jO^O^uMQsY QsO H JLhZJUY H QcO[KhZ[PKEgraveJLh H m QcYUiNPfcjWVNicentfcJuX[PhUBQc^JL[Bbn[]OXiacuteJLhZJUObnJUYe]WMeJLhZJ H MeJ ZOslash[]Y H QZOslashKEgrave[Ph H NPO H NPO^regZOslash[]Y H U~NihdQcNicentfRJQcOFX[PhlZ N H QR[]OQcYfR[WbLN H JU^ []O H MJordfXiacuteNPbnJaq 5ZOslash[]Oe[]j`NPO^tUacutejMNSZaringJUfde sSsSs j^ J QcOQ H QcNPfcQVcurrenLJ H MJhdY H XiacutehNSZOslashJoWQ H M7N`bLQchbLfRJ QsOYZQc^eJ H MeJXqNPbnJ H [ H hNPbY`K^MJUOOeyacuteWFJsup1ZaringN`PJ H MeJNPb H QVUPJ7bn[]O H []jeheumlJUP[]fVUPJjYZQcOF[admacr s jeiexclWQ H MX8ordfaOgravejxaacuteILK KafUgravemiddot cent j^ltMeJregONPfybn[]O H []jehtimes[SX H MeJ bLjehZhJUO H QZaringN[PJ QcY H MeJUOOacutebdMe[]YJUO7NPYNPO QcOQ H QcNPfbLjhYUPJordfX[Ph H MJUacuteOJk H QZaringN[PJS^FMeJOtildeNPfV[P[PhQ H MFZMNPYcentEgraveJLJUOKEgraveJLhYXiacute[PhlZOslashJU^[]OYJUPJLhdNPf$YJjJUObnJUY^MeJaelighZJUYjf H Y5X[Ph H MJaeligYZJjeJUObnJpoundn5JLhQV`p NihJordm[]QVUPJUOQcOnot QV[^ethz^shyMeJaringKNihNSZaringJ H hZJ bMNPYaumlcentEgraveJLJUOYZJ HaumlH [sup1f s ^QMeJordmXqNPbnJ QcYordfWFJUfcfy^J H JUb H JU^NPO^ H hNPbY`PJU^times[]O H MJ|WMe[]fcJyYJjJUObnJS^MJyhZJUYZjf H YOX[Ph H MeJNtildeYZJjeJUObnJnN`WQVmP[]p

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ macrNihZJy[]QVUPJUO`QsO not QV[^ i^ JaeligbMe[B[]YJbaacute s ^ JtimesbLNPO`YJLJ H MN HH MeJXiacuteNPbnJaeligQcYuWFJUfcf^eJ H JUb H JU^aJUPJUOaQVX H MeJaumlbn[]fR[Phiexcl[SXMJLhYZMQRh H QsY(bLfR[]YJ H [ H MJgXiacuteNPbnJIacutebn[]fR[Ph^

YOEAEligMgtIltROgravesup3PshyAtildeT13MKI5O H MQcYKNiKEgraveJLheuWNtildeJKhZ[PKEgrave[]YJN OeJW 0jfRJLhQcNPOAumlZaringQsOQZaringQVcurrenUN H Qc[]OAumlZOslashJ H Me[W^ H [bn[]ZOslashK-j H J H MJUPJUfR[WbLQ H mpoundUPJUb H [Pharing[SXNPONPb H QVUPJ bn[]O H []jeh H MN H JUOYZjehZJUYtimesQ H WQcfcfJUP[]fVUPJ NPYordfXiacuteNPY H NPYOtildeKEgrave[]YZYZQRcentfcJ H [WNih^YIacuteNZaringQcOQCZIacutejFZ [SXN bnhQ H JLhQR[]OeumlQcObLfcj^QcOF[centEgrave[ H MUacutehZJ[]QR[]OeVcentNPYJU^TNPO^OtildecentEgrave[]jO^NihYmVcentNPYJU^ H JLhlZ Y^ q jehgNiKKhZ[]NPbMIacuteQcYcentNPYZJU^Otilde[]OYZMNiK=J[PK H QZaringQVcurrenUN H Qc[]OOslashKhQcObLQRKfRJUY$NPO^ QcYyKEgraveJLhYXiacute[PhlZOslashJU^ QcO H MehZJLJ5ZaringNPQcO Y H JLKYaringf^ltO H hZ[W^jb H QR[]O[SX$NOslash^mWONSZaringQcbLNPfYbMeJZOslashJIacuteQcO H MeJTbnhQ H JLhQR[]OOe ^vF[]ZOslashKj H N H Qc[]Oaelig[SX H MeJ_0jfRJLhdQcNPOaelig^eJLhQVUiN H QVUPJ[SX H MJbnhQ H JLhQR[]OOslashjYZQcO[OtildeYZMNiKEgraveJ

[PK H QZaringQVcurrenUN H Qc[]O H [[]fcYe^vF[]ZOslashKj H N H Qc[]Oa[SX H MeJtimesJUP[]fcj H Qc[]OaJBjN H QR[]O`[SX H MeJaeligNPb H QVUPJtimesbn[]O H []jehiexclXiacutehZ[]ZH MeJT^eJLhQU~N H QVUPJS^

iexcl Ntilde _ cent G NPfcfR[WY H [hJUNP^QcfVm H N`PJNtildeQcO H [NPbLbn[]jO H9H MeJybLNPYJ0[SXBhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H^eJUYbnhQRK H [PhY H MN H NihZJo[]fR[PcentNPfcfVmN HH NPbdMeJU^ H [ H MeJ JUP[]fVUWQcO[ hZJ[]QR[]OYtimesNPO^Y[H MN H UiNihYm^jehQsO[ H MJaumlKhZ[PKN[]N H Qc[]O [SX H MJaumlbLjehYUPJS^ JTYMe[W H MN HH MeJgUiNihQuVN H QR[]O [SX H MeJUYJ^JUYZbnhQRK H [PhdY QsO^jbnJUYNP^^Q H QR[]ONPf H JLhlZaringYQcO H MeJeumlJUP[]fcj H QR[]OJBjN H QR[]Oeuml[SX H MeJaringNPb H QVUPJ bn[]O H []jeh^MJUYJ H JLhlZaringYgZtimesjY H Oe[ H centEgraveJlaquoX[Phl[P[ HH JUOQcO[Ph^JLh H [ hZJUNPbMeumlN H hjeJZ QcOQZtimesjFZ[SX H MeJtimesbnhQ H JLhQc[]OaNPYUacuteQ H MNPYcentEgraveJLJUOKEgrave[]QcO H JU^[]j H QsOJkBKEgraveJLhQZaringJUO H NPfEgravehZJUYjf H Y^

Yfrac34XiacuteNiheumlNPYeumlMe[]ZOslash[S[PJUOeJL[]jYeumlbn[]fR[PheumlhZJ[]Qc[]OY`YZJ[]ZOslashJUO H N H Qc[]OQsY`bn[]ObnJLhdOeJU^OeWFJKhZ[PKEgrave[]YJ H MeJ`bn[U~NihQsNPObnJfrac34ZaringN H hdQk^eJ H JLhlZaringQcONPO H NPY N^eJUYbnhQRK H [Ph^MQcYY H N H QsY H QcbLNPfhZJ[]QR[]OeV4^eJLKEgraveJUO^eJUO H ^JUYZbnhQRK H [PharingNiKK=JUNihdY H [centEgraveJN UPJLhlm7hJUfRJU~NPO HH [B[]fampNPO^eumlY[ Q H MNPYUacutecent=JLJUOeumlYZjbLbnJUYZYXqjfcfVm NiKKfsQRJU^ H [XqNPbnJaring^eJ H JUb H QR[]OQcOfrac34UWQc^eJL[YJBjeJUObnJUY^

iquest acuteraquoacuteLacuteIltR]acuteAtildeagraveIgravefrac14dEcircsup1Atilde5AringiquestLmiddotNtildeIumliquestUumlgIumlUTHORNampAtildeEacutecedilAtilde5AringAcircnAtilde|iquestaacuteIacuteIumlIZEgravefrac14Zcedilfrac12frac14dAringiEcirc]iquestfrac14draquoiEcirc[NtildeIumlagraveAringEacutePAtildecedilwAacute4] uacute_^J^J^ iquest)` igraveraquoLCcedilfrac14cedil4Ecircfrac14draquo~Ecirc(Auml|AringAacuteCcedilfrac14Zcedil4Ecirc

Agrave5AringcedilAcircnAtilde$AtildeAcircnAuml|frac12AringAacutesup1AumldraquoTAringAEligwsup1raquo~ordm(frac12Atilde5AcircnAtilde5frac12AEligwAtildeAacuteampIgrave(Atilde AacuteIcirc~AumlUEcircSaIumligraveraquo13] x4~rv p4PldrRtcoPl|Egraveod5v pv i4vodaumlx4shyl not vsectpqo v tu not Iumlcb$Auml|EacutePAtilde|iquestednfrac14Oumlifrac14draquoIuml

agraveIgrave(Aumldraquo~Auml|Aringiquest~igrave4IumlPfrac14raquoiEcircfWIumliTHORNampAringIcircifrac14Igrave(Atilde5frac12G] divideugrave|ugrave|ugrave iquest` igraveAacuteAtildecedil4frac14ZAacutesup1Acirc|AtildeNtildeEacute~frac14dAgrave4UgraveUCcedilEgravefrac14cedil4EcircUacuteAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoUacuteOgraveregAumldcedilIcirc~sup1Atildecedil4frac14cedilAgrave4Icirc~sup1currenEumlAgravefrac14dfrac12=CcedilEgravefrac14AcircnAtilde5frac12AtildeAacutesup1Igravefrac14ordm|AtildeAgrave5AumlUEcircsup1raquo~ordmIaIumlaeligigraveiacuteraquoS] x4rv p ildrRtcodil|ampod5v pv P4vOtildeodOslashx4shy(l not vFsectpqo v tu not Iumlg frac14raquo~Agrave5AumldAring~AcircnAtildecediliquestehEgravefrac14raquoifrac14|Ecircfrac14Iuml

agraveAringEacutePAtildecedilwAacuteiquest[NtildeIumlWfrac14raquoiEcircifWIuml13b$Aumldcedilraquo~OumlcedilAuml|EacuteAEligqAacute4] divideugrave|ugraveuacute iquestkj ldrregv shy(ldrRtcl|ipwonm5v shyNtildetuOslashtushyl not vampipwo4v tu not sect9ldp4rRtcl|Egravedt lv pv ~rRtRl|9vDm~lrRtcod~ldiTrreg~vUacutel| Uiexcloqnldp4tcldrRtRod~ iquestpoAumlIuml uacute_qEr IumlOslashagrave9Ouml~Oumlfrac12sup1AtildeEcircaacuteUacutefrac14AacuteIcirc~AtildeIgravefrac14Aacutesup1Agravefrac14dfrac12BatildeAgravesup1Atilderaquo~Agrave5Atilde5AElig5iquestPatildeOumlcedilsup1raquoordm|Atildecedil g Atildecedilfrac12frac14dordmIumlhEgravefrac14dAEligwAtilde5frac12frac12Atilde5AElig5iquest g Iumliquest~szlig0Iumleb$sup1Igrave(Igrave(Atilde5frac12Riquestifrac14raquoiEcirc[NtildeIumlatildefrac14dOumlsup1cedilAumlI] uacute_^J^Er iquest`s[Atilde5AumlUEcircAtilde5AEligwsup1AgraveFfrac14dAgraveAacutesup1AcircnAtildeyAgrave5AumldraquoUAacuteAumldAringcedilAElig_aIuml x4~rv p4PldrRtcodPldpoundUodUp4Pl|WoqodshyiUrv paumlumltutcodutet13v uacute+w iquestex uacuteyIrz^ Iuml

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CBh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34LiquestBagraveyIumlWfrac14raquoiEcircidIumlBTHORNampAringraquo~Agravefrac14raquo13] uacute4^z^J^ iquest`[ampfrac14Igrave(AtildeEumlcAacuteIcirc~Atilde5AumlcedilAtildeAacutesup1Agrave(sup1raquoUAacuteAtildeordmdcedil4frac14Aacutesup1AumldraquoaeligOgraveuAumldcedil0sup1Igravefrac14dordmdAtildeAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIuml xQ|||~pwl~ lnrRtcodNtildeodiexclsect9lrRrv p auml9Pl| ~tuyldi j l|4Utu]vx4~rvreg t not v P4v Iumlh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34Liquestgagrave0IumliquestIumlgatildeUAacute4frac14dsup1Eacuteiquest9frac14draquoiEcircdIuml9THORNampAringraquo~Agravefrac14raquo13] uacute_^J^ xiquest` THORNampAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeIacuteEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34iraquo~Ecircsup1raquo~ordmsup1raquoIgrave(AtildeEcircsup1Agravefrac14frac12iexclsup1Igravefrac14ordm|Atilde5AEligaringEacuteLfrac34Oacutesup1raquoLAacuteAtilde5ordmcedil4frac14Aacutesup1raquo~ordm ordmdcedil4frac14|Ecircsup1Atilde5raquoLAacute frac14raquoiEcirccedilAtilde5ordm|sup1Auml|raquo sup1raquoOgraveuAumldcedilIgravefrac14ZAacutesup1Auml|raquo13aIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu notI iquesteE ^4y rdugrave Iumlh=Icircifrac14raquoiquestBETHIumlWfrac14raquoiEcircIuml g Atilde5AEligwAtildeJ] dividedugravedugraveuacute iquest` agraveAgraveAacutesup1AcircnAtildeFAgrave5Auml|raquoLAacuteAuml|AringcedilAElig$Ccedilgsup1AacuteIcircAuml|AringAacuteNtildeAtilde5Ecircordm|AtildeAElig_aIuml xQ||k|~pwld lnrRtcododUacutex4shy(l not v9sectpqo4v 4tu notuU v divideJw iquest divide xJx ydividezrJr Iumlh=Icirc~Atilde5AEligwraquo~frac14dAring~EcirciquesthIumliquestfWIuml=szligAtildeOgraveYacutecedilIAtilde5ordm|sup1Atildecediliquestfrac14draquoiEcirc g Iuml5Z=AumldAring~frac12AtildeAacute4] uacute_^J^z^ iquest`currenatildeUAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12cedilAtilde5ordmdsup1AumldraquoAEligwraquoifrac14dUgrave|AtildeEumlsEacuteifrac14dAEligwAtilde5EcircAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquofrac14|Ecircfrac14dOumlAacuteAtilde5EcircFAacuteAumlyEcircsup1s]AtildecedilAtilde5raquoLAacute-Ouml~IcircLfrac34AEligwsup1Agrave5frac14dfrac12~raquoAuml|sup1AEligwAtilde9Igrave(AumlUEcircAtilde5frac12AElig_aIuml xQ||k|~pqld~ lnrRtco~$osect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4vt iquest uacute|uacute_q y~uacute|uacute xIumlh=Auml|IcircAtilde5raquoiquestIuml] uacute4^z^uacute iquest`currenmiddotraquofrac14dAgrave Aacutesup1Acirc|Atilde Agrave5AumldraquoLAacuteAuml|AringcedilIacuteIgrave(AumlUEcircAtildefrac12AEligtimesfrac14draquo~EcirceumlEacuteifrac14dfrac12frac12AumlLAuml|raquoAElig_aIuml odshyiUrv pumltutcod pwl Utc0ldix4shyl not vsectEgravepwo4v tu not x4shyl not vOtildePnv p rsldidtu not) iquest divideUuacuteduacuteydivideLuacute UIumlh=Auml|IcircAtilde5raquoiquestSIumliquestUumlIuml13ZEgravefrac14cedil4Ecircsup1raquo~AtildeAacuteiquestfrac14raquoiEcircoNtildeIumlagrave9frac34Lfrac14dAgrave4Icirc~AtildeJ] uacute_^J^z iquest`atildeUAringcedilwOgraveufrac14dAgrave5Atilde0cedilAtilde5Agrave5Auml|raquoAEligqAacutewcedilAring~AgraveAacutesup1AumldraquotimesAring~AEligwsup1raquoordmfrac14AgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilaumlIgrave(AumlUEcircAtilde5frac12AElig_aIuml igraveiacuteraquoS] Lsect=xQ|od5v pv P4v od vwodshy(v rRp tc j v rregodtimestuodshyiUrv pumltutco Iuml~atildefrac14raquoUacuteTHORNampsup1Atilde5ordm|AumliquesthEgraveagraveyIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquestEgraveUumlIuml] dividedugrave|ugravedugrave iquest`currenatildeAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquo Ouml~frac14cedilAgrave5Auml|raquoLAacuteAuml|AringcedilAEligUacutefrac14AgraveAacutesup1currenOgraveuAEligUacuteAtilde5raquosup1Igravefrac14dordmdAtildecedilsup1AtildeIacuteIgraveAtilde5Ecircsup1Agravefrac14dfrac12AtildeIacuteEcircfrac34UEumlraquoifrac14dIgrave(sup1ecircLAring~Atilde]ampfrac14Ouml~Ouml~frac12sup1Agravefrac14ZAacutesup1AumldraquoAtilde5raquoeumlAgravefrac14Zcedil4Ecircsup1Auml|frac12Auml|ordmdsup1Atilde raquoUAring~Agravefrac12Atilde5frac14dsup1currencedilAtildeJaIumlfIcircIuml THORNFIumlAacuteIcirc~Atilde5AEligwsup1AElig5iquestraquo~sup1AcircnAtildecedilAEligwsup1currenAacutefrac34`AumlOgraveosup1Agrave5AtildeEumliacuteatildeAumldOuml~Icircsup1Yacutefrac14NtildeagraveraquoLAacutesup1OumlPAuml|frac12sup1AElig5iquestPeacutecedil4frac14raquo~Agrave5AtildedIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquest|UumlIumliquestUaacuteIacuteIumlEZEgravefrac14cedilfrac12frac14dAring~Ecirciquest[NtildeIumlLagraveAringEacutePAtildecedilwAacuteiquest|frac14draquoiEcirc dIumlnTHORN$frac14ZcedilAgrave5Auml|AringcedilwAacute4] divideugrave|ugraveUuacute iqueste`currenatildeOuml~frac14dAgrave5AtildeEgraveAacutesup1Igrave(AtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14EumlAacutesup1AumldraquoUacuteAring~AEligwsup1raquoordmfrac12Atilde5AcircnAtilde5frac12AEligwAtildeAacutefrac14dAgraveAacutesup1AcircnAtilde$AgraveAuml|raquoLAacuteAuml|AringcedilAEligfrac14Ouml~Ouml~frac12sup1AtildeEcirciexclAacuteAumlFIgraveNtildefrac34LAumlLAgravefrac14Zcedil4Ecircsup1frac14dfrac12ordmnfrac14ZAacuteAtildeEcircOtildeatildeIf-UumlkhEgraveETHaIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu not t v rJw iquest)x qJ+y xJ ^ Iuml

THORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquest13iexclNtildeIumlfrac14draquo~EcircdIumlWaacuteAuml|raquoLAacute4frac14ordm|raquoifrac14ZAacute4] divideugrave|ugraveUuacute iquest` ETHBAumldOumlPAuml|frac12Auml|ordmfrac34Oslashfrac14raquoiEcircIacuteAEligwIcirc~frac14dOumlPAtildeAgraveAuml|raquo~AEligqAacutewcedil4frac14sup1raquoUAacuteAEligyAumldraquotimesOumlifrac14Zcedil4frac14EumlIgrave(AtildeAacutewcedilsup1AgraveOslashfrac14dAgraveAacutesup1AcircnAtildearingAgrave5AumldraquoLAacuteAuml|AringcedilAElig_aIuml odshy~rv pumltutcodldP x4shy(l not vPLv p4rsldPtu notcent) v divideJw iquestuacute_qnugrave4yiuacute4rUuacute Iuml[Auml|Igrave(Atilde5AElig5iquestpounddIumlfrac14draquo~EcircaringmiddotNtildeIumleacuteifrac14Aring~ordm|Atilde cedil4frac14dAElig_] divideugrave|ugrave|ugrave iquestcurren` szlig9Atilde5Agrave5Aumldraquo~Agrave5sup1frac12sup1raquo~ordmIacuteEcircsup1AEligqAacute4frac14draquoAgrave5AtildeOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligfrac14draquo~Ecircaeligfrac12Atilde5AcircnAtilde5frac12EgraveAEligwAtilde AacuteAElig_aIumlpoundUodUp il|WoqUacuteumltul|-odshyNtildeshyFU~tR4lrRtcodTldix4shyl not vampgvipv v rsldrRtcod ) iquest dividedugravez^+ydivideddividez Iuml[cedil4frac145frac34LiquestszligyIumliquestdIumlyen-Auml|Aringraquo~ordmiquestampfrac14raquoiEcircagrave0Iumlampagravesup1currenfrac34LAtildecedil4] dividedugravedugraveuacute iquest `aacutesup1raquosup1IgraveNtildeAring~Igrave Ecircsup1AEligwAgrave cedilsup1Igrave(sup1raquo~frac14Aacutesup1Auml|raquosup1raquoOgraveregAumldcedilIgravefrac14Aacutesup1AumldraquoAgrave5frac12Aring~AEligqAacuteAtildecedilsup1raquo~ordmI]Igrave(AumlUEcircAtilde5frac12sup1raquo~ordmTfrac14raquoiEcircOslashecircLAringifrac14raquoUAacutesup1Ocircfrac14ZAacutesup1Auml|raquoOslashCcedilgsup1currenAacuteIcirc ordm|frac14dAringAEligwAEligIgrave(sup1currenicircAacuteAringcedilAtilde5AElig_aIumlTigraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquest=atildePIumliquest=aacuteIacuteIumlkZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestEgravefrac14raquoiEcirc[NtildeIuml=agrave9Aring~EacutePAtildecedilwAacute4] dividedugrave|ugraveUuacute frac14Uiquest` agrave EumliacuteatildeUAacuteAtilde5Ouml frac14dfrac12ordm|Aumlcedilsup1currenAacuteIcirc~IgraveAring~AEligwsup1raquoordmcedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtilde=Agrave5Auml|raquoLAacuteAuml|AringcedilAEligeOgraveuAumldcedilAcircUsup1EcircAtilde5AumlAuml|EacuteUbrvbarqAtilde5Agrave AacuteAElig=EcircAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoSaIuml~igraveraquo13]psect xw j x4 sect odpDumlqo odUacutex4shy(l not v9Pl| ~tu5op j rRtushyvwdtclNtildex4rv pwlnrRtKndvy]v pntc4v IumliETHWfrac14dIgrave(OumlPAtilde cedilAtilde|iquestieacuteWsup1raquofrac12Yacutefrac14raquoiEcirc]Iumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquestUatilde]IumliquestUaacuteIacuteIumlUZ=frac14cedilfrac12frac14dAring~EcirciquestUfrac14raquoiEcirccopy[NtildeIumlUagrave9Aring~EacutePAtildecedilwAacute4] dividedugravedugraveuacute EacuteiquestA` szlig9Atilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14AgraveAacutesup1AcircnAtildegAgrave5Auml|raquoLAacuteAumldAringcedilAEligOgraveuAumldcedilAcircUsup1YacuteEcircAtilde5AumlaringAuml|EacuteUbrvbarqAtilde5Agrave AacuteOtildeAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo Ccedilgsup1currenAacuteIcircaAgrave5frac14dIgrave(Atildecedil4frac14OslashAgrave5AumldIgrave(OumlPAtilde5raquo~AEligfrac14ZAacutesup1Aumldraquo13aIumligraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquesteatilde]IumliquestWaacuteIacuteIumlZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestefrac14draquo~Ecirc[NtildeIumlBagraveAring~EacutePAtilde cedilwAacute4] divideugrave|ugraveuacute Agrave|iquestk` g sup1EcircAtilde5AumlUacuteAuml|EacuteUbrvbarqAtildeAgraveAacuteFAEligwAtildeordm|Igrave(Atilde5raquoLAacute4frac14Aacutesup1AumldraquoAring~AEligwsup1raquo~ordmIacuteAtilde5Aring~frac12Atildecedilsup1frac14draquo cedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAElig_aIuml igraveiacuteraquoS] x4rv p ildrRtcodil|yodv pwv P4vIacuteoodshyiUrv paumlumltutcod Iuml g frac14draquoAgrave5Auml|AringAcircnAtildecediliquestehEgravefrac14draquo~frac14|Ecirc~frac14UIumlbyfrac14dAEligwAElig5iquesteaacuteIacuteIumliquestWagrave0Iuml Ucirc sup1currenAacuteUgravesup1raquoiquestWfrac14raquoiEcirctimesTHORNFIumlWETHBAtildecedilOcirc5AumldOumlPAuml|Aringfrac12AumldAElig_] uacute4^ JUiquestk`currenatilderaquoifrac14UgravenAtilde5AElig_]WagraveAgraveAacutesup1AcircnAtilde(Agrave5AumldraquoLAacuteAuml|Aringcedil0Igrave(AumlUEcircAtilde5frac12AElig_aIumlx4~rv p4PldrRtcoPl|WpoundUop4PldWoqodshyiUrv pTumltutcod iquest ndivideUuacuteyUzndivide Iuml

aacuteUacutefrac14dfrac12frac12frac14|Ecircsup1ciquest~szlig0IumliquestedIuml]atildeUAtildeAacuteIcirc~sup1frac14raquoiquest~frac14draquoiEcircZIuml g Atilde5IgraveNtildeAringcedilsup1G] uacute4^z^ UiquestS`atildeUIcircifrac14OumlPAtilde$Igrave(AumlUEcircAtilde5frac12sup1raquo~ordm0Ccedilgsup1AacuteIcirciexclOgraveregcedilAuml|raquoLAacuteOumlcedilAumldOumlifrac14dordm|frac14EumlAacutesup1Aumldraquo13]nfrac14ampfrac12AtildeAcircnAtilde5frac12AEligwAtildeAacuteEgravefrac14Ouml~OumlcedilAumlnfrac14dAgrave4Icirc13aIuml xQ|||~pwld lnrRtcodampodsectgldrRrv p 9Pl| ~tu9ldP j ln4Utreg]vx4~rvu t not v i4v Iordf iquest uacute z yiuacute+r UIuml

aacuteUacutefrac14draquoAEligwAuml|Aringcedilsup1Riquestagrave0Iumlfrac14draquo~EcircdIumlb$Auml|raquocedil4frac14|EcircS] uacute_^J^J^ iquestlaquo`currenaacuteAumldAacutesup1AumldraquoAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo`Ccedilgsup1currenAacuteIcirceumlfrac12Atilde5AcircnAtildefrac120AEligwAtilde AacuteAElig_aIuml igraveraquo13]x4~rv p4PldrRtcoPl|=ov pwv P4vNtildeodUacutex4shyl not vsectEgravepwo4v tu not Iumlcb$AumldEacutePAtilde|iquestednfrac14dOuml~frac14draquoIuml

aacuteAuml|raquoLAacute4frac14dordmdraquoifrac14ZAacuteiquestdIumliquestziexcl0IumlTHORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquestdfrac14draquo~EcircoNtildeIumlZagravegfrac34Ufrac14dAgrave4Icirc~AtildeJ] dividedugrave|ugraveUuacute iquest` agraveOslashcedilAtildeAcircsup1AtildeCcedilaeligAumldOgravePEcircAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeAEligwAringcedilwOgraveufrac14dAgrave5AtildeAElig_]AacuteAuml|OumlPAuml|frac12Aumldordmdfrac34Liquestgordm|AtildeAuml|Igrave(AtildeAacutewcedilwfrac34frac14draquoiEcirc EcircAtildeOgraveuAumlcedilIgravefrac14Aacutesup1Auml|raquoSaIuml x4shyl not vtimesldiOacuteumltutcododshy~rRtreg not0Inot v uacute_qw iquestuacuteugravendivide+y~uacuteugravezq|ugrave Iuml

aacuteAring~IgraveOgraveregAumldcedil4Ecirciquest=THORNFIumlgfrac14raquoiEcircdIumlatildeIcirc~frac14dIcircS] uacute4^ ^ iquest`currenmiddotOumlAacutesup1Igravefrac14frac12$frac14dOumlOumlcedilAumlicircsup1Igravefrac14Aacutesup1Auml|raquoAEligEacuteLfrac34Oumlsup1AtildeAgrave5AtildeCcedilgsup1AEligwAtildetimesAEligwIgrave(AumlLAumlAacuteIcircOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligFfrac14raquoiEcircOslashfrac14dAEligwAEligwAumlLAgravesup1Yacutefrac14ZAacuteAtildeEcircaringAcirc|frac14Zcedilsup1Yacutefrac14ZAacutesup1Auml|raquoifrac14frac12EgraveOumlcedilAumldEacute~frac12Atilde5Igrave(AElig_aIuml odshyNtildeshyFU~tR4lrRtcod~oaeligsectEgraveUpvUacuteldiEgraveni tsvw j ldrreg~v shy(lrRtccurrenshyt iquest rzr4y xJ q Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfa

yenKbrvbarsect =4 acirc $ zmiddotAEligwIcirc~AtildecediliquestdatildePIumlfrac14draquo~EcircdIumlnatildeAtilde AacuteIcirc~sup1frac14draquoS] uacute4^ ziquest` eacutecedilAuml|raquoLAacuteAEligeOumlcedilAumldOumlifrac14ordmnfrac14Aacutesup1raquoordmCcedilgsup1currenAacuteIcircFAgrave5AringcedilAcirc|frac14ZAacuteAringcedilAtildeEumlEcircAtilde5OumlPAtilde5raquoiEcircAtilde5raquoLAacuteBAEligwOumlPAtildeAtildeEcircS]

agravefrac12ordm|Aumlcedilsup1AacuteIcircIgrave(AEligEacute~frac14dAEligwAtildeEcircaumlAuml|raquoiexclampfrac14Igrave(sup1frac12AacuteAumldraquoEumldnfrac14Agrave5Auml|Eacutesup1eacute~AumldcedilIgraveNtildeAring~frac12frac14Aacutesup1Auml|raquoSaIuml poundUodUp4Pl|oqiexcloshyiUrsldrRtcoPl|sect=U~tc ordfenot iquest uacutedivide4yEqE^ Iumlfefrac14cedil4frac14ordm|sup1Auml|AElig5iquestoNtildeIumlfrac14draquo~EcircIacuteszligyIuml]THORNampAtildecedilsup1Agrave4Icirc~AtildeJ] uacute4^z^J^ iquest`s[Atilde5AumlUEcircAtildeAEligwsup1Agravefrac14AgraveAacutesup1AcircnAtildeFcedilAtilde5ordmdsup1Auml|raquo~AElig$OgraveregAumldcedil0Igrave(AumldAacutesup1Auml|raquoTAtilde5AEligqAacutesup1Igravefrac14Aacutesup1Aumldraquofrac14draquoiEcircAacutewcedil4frac14dAgrave4UgraveUsup1raquoordmAaIumligraveiacuteraquoS] x4rv p ildrRtcodil|-ov pwv P4vFodOslashodshyiUrv paumlumltutco Iumleh=AumldcedilwOgraveregAringgt[cedilAtilde5Atilde5Agrave5Atilde|Iumlfefrac14AacuteAtilde5Aringicirc]iquestatilde]Iuml] dividedugravedugrave|ugrave iquestpound`currenatildeOuml~frac14Aacutesup1frac14dfrac12AEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoTAumldOgrave=Agrave5Auml|frac12Aumlcedilysup1Igravefrac14ordm|Atilde5AEligampfrac14dAgrave5Agrave5Aumlcedil4Ecircsup1raquo~ordmAacuteAumlUacuteaacuteTHORNaringOgraveregAumldcedilIgravefrac14dfrac12currenEumlsup1AEligwIgraveaIumlyigraveraquo13] x4~rv p4PlrRtcodPld=od5v pv i vodododpFtu pwl4UtcldPx4shyl not vysectpqo v tu not Iumlatildefrac14dsup1raquoLAacute UumleAacutesup1Atilderaquo~raquo~Atildediquestieacutecedil4frac14raquo~Agrave5AtildedIumlfcedilAtildeAgrave5sup1Auml|AEligwAumliquesteacute=IumlEgravefrac14raquoiEcirc aacuteIacuteIumlcurrenZEgravefrac14cedilfrac12frac14dAring~EcircS] dividedugrave|ugraveUuacute iquest` Z-EumliacuteatildeUOuml~frac12sup1raquo~Atildeaumlfrac14dAgrave Aacutesup1Acirc|AtildeOtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAEligOgraveregAumldcedilOgraveRfrac14AEligqAacuteAcircUsup1EcircAtilde5AumltimesAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIumlOacuteigraveraquo13] x4rv p ildrRtcodil|od5v pv P4vaeligod x4shy(l not vUacutesectpqo4v 4tu not IumlETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1Riquest[cedilAtilde5Atilde5Agrave5Atilde|Iuml

szligAumldraquoOgraveufrac14cedil4EcirciquestszligyIuml] uacute_^J^q iquest` szlig9Atilde5ordmdsup1AumldraquoEumlsEacuteifrac14AEligwAtildeEcircFAEligqAacutewcedil4frac14ZAacuteAtilde5ordm|sup1Atilde5AEligeOgraveuAumlcedil-frac14dAgraveAacutesup1AcircnAtildeEgraveAgraveAuml|raquoLAacuteAuml|AringcedilIgrave(AumlUEcircAtilde5frac12AElig_aIuml x4~rv p4PldrRtcoPl|poundUodUp il|WoqodshyiUrv paumlumltutco I v dividezw iquest divideddividez^+yUdivide uacute Iuml

atildefrac14Igrave(AEligwAuml|raquoiquestzhIumliquestzIumlzZ=frac12frac14raquo~AgraveEumleacuteAtildecedil4frac14AringiEcirciquestJ[NtildeIumldagraveAringEacutePAtildecedilwAacuteiquestfrac14draquo~Ecirc dIumlJregPAtildecedilAring~Eacutesup1frac14I] dividedugravedugrave|ugrave iquest` agrave frac12Atilde5Acirc|Atilde5frac12UAEligwAtildeAacuteIgrave(AumlUEcircAtilde5frac12nOgraveregAumldcedilsup1Igravefrac14ordm|AtildeAgrave5frac12frac14dAEligwAEligwsup1siAgravefrac14ZAacutesup1Auml|raquo13aIuml x4~rv p4PlrRtcodPldpoundUodUp4Pl|BoqNtildeodshyiUrv pOtildeumltreg4tRod shy v Ew iquest uacute r4y~uacute4^Er Iuml

atildefrac14raquo~ordmdCcedilgsup1raquoAtilde|iquest9atilde]IumlEgravefrac14draquo~Ecircszlig0IumlampiexclAumldcedilraquoAtilde v Atilde5EcircAElig5Iuml w ] uacute_^J^ Uiquest ~vIacuteo|odUpaumltushyl not vipqo4v 4tu not ldP|m4oo4uml Iumlh=Icircifrac14dOumlIgravefrac14draquodegmacriexclampfrac14dfrac12frac12RIumlatildeAtildeAacuteIcircsup1frac14draquoiquestdIumlplusmn] uacute4^z^|ugrave iquestU` oAringIgrave(Atildecedilsup1Agravefrac14dfrac12Ufrac14frac12ordm|Aumldcedilsup1currenAacuteIcircIgrave(AEligWOgraveuAumldcedilOumlcedilAuml|Oumlifrac14ordmnfrac14ZAacutesup1raquoordmsup1raquoLAacuteAtildecedilwOgraveRfrac14Agrave5Atilde5AElig_]Jiexclampfrac14dIgrave(sup1frac12currenAacuteAuml|raquoEumldnfrac14dAgrave5AumldEacute~sup1

AtildeecircLAringifrac14Aacutesup1Aumldraquo~AElig-frac14draquoiEcircAgraveAuml|raquo~AEligwAtilde cedilAcirc|frac14ZAacutesup1Aumldraquo(frac12frac14CcedilgAElig_aIuml poundUodUp4Pl|]oqEgraveyen$t lv pv rRtcl| voshyv rRp~ iquest uacute4Uuacutey~uacute x uacute IumlatildeAtildeAacuteIcircsup1frac14draquoiquestAdIuml] uacute4^J^ xiquest kWvndvB]v r j v rregod IumlcurrenhEgravefrac14dIgraveNtildeEacutecedilsup1EcircordmdAtilderaquosup1AcircPIumlAfecedilAtilde5AEligwAElig5Iumlatildesup1Ecirc~Ecircsup1ecircUsup1Riquest4bIumliquest_yenNtildeIumlBfrac14Aring~Ocirc5sup1Gsup2AtildecedilAtilde|iquestagraveyIumlETHWfrac14draquoraquo~Atilde5raquoUEacute~frac14dAring~IgraveUacuteiquest5frac14draquo~EcircNtildeatildePIumlregPAring~Agrave4UgravenAtildecedil4] uacute_^J^ xUiquestE`currenagravegcedilAtildefrac149frac14draquoiEcirc$frac12Atilde5raquoordmdAacuteIcircyIgrave(sup1raquoEuml

sup1Igrave(sup1Ocirc5sup1raquoordm sup3iAumlCcedilgAEliggOgraveuAumldcedilAEligwIcircifrac14OumlPAtildeyAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo13aIuml xQ|||~pwl~ lnrRtcodoOtildex4shyl not vsectEgravepwo4v tu notordf v Ew iquest qEz+yqzqE Iumlyen=AtildeOcirc5Ocirc5sup1RiquestagraveyIumliquest5agrave0Iuml5ETHEgraveAEligfrac14dsup1Riquestfrac14draquo~Ecirc$agrave0Iuml Ucirc sup1frac12frac12AEligwUgraveLfrac34] uacute4^z^J^ iquestJ` agraveaeligAEligqAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12Ufrac14dOumlOumlcedilAumlnfrac14Agrave IcircampAacuteAumlgAEligwraquo~frac14dUgravenAtilde5AElig]OgraveuAumlcedilWEacutesup1Igrave(AumlUEcircfrac14dfrac12frac14draquoiEcircAacutewcedilsup1Igrave(AumlUEcirc~frac14frac12isup1Igravefrac14dordmdAtildecedilwfrac34aIumligraveraquo13] x4rv p ildrRtcodil|eodv pwv P4vyodx4shyl not vgsectpqo v tu not IumlAb$AumldEacutePAtildednfrac14dOuml~frac14draquoIumlreg]IcircUAringiquest]atilde]Iumlfrac14raquoiEcircaumlagrave0Iumleyen=Aringsup1frac12frac12AtildeJ] uacute_^J^ xUiquestpound` szlig9Atilde5ordmdsup1AumldraquotimesAgrave5AumldIgrave(OumlPAtildeAacutesup1currenAacutesup1Auml|raquo13]iAring~raquo~sup1currenOgraveYacutefrac34sup1raquoordmiexclAEligwraquo~frac14dUgravenAtilde5AElig5iquestPcedilAtildeordm|sup1Auml|raquoTordmdcedilAumlCcedilgsup1raquo~ordmiquestfrac14draquoiEcircZEgravefrac145frac34LAtilde5AEligacute|aacuteTHORNOgraveregAumldcedilIgraveFAring~frac12currenAacutesup1Eacuteifrac14raquoiEcirc sup1Igravefrac14ordm|AtildeTAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo13aIuml xQ|||micro~pwld lnrRtcodtimesosect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4v Icent iquesteJ q+yU^dugrave|ugrave Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfo

i $amp)(+-)013021+345627893lt=gt9A6CBfrac12OcircacuteIshyNT

frac12OcircacuteIltNTpara frac12frac34EMeJaumlQcYZYZjJUacuteQsY H [ ^QEgraveJLhZJUO H QcN H J H MeJordfXiacute[]fcfR[WQcO[Oslash^e[]ZaringNPQsOXiacutejOb H QR[]ONPfdaringocirc|adOuml times jOcircaacute uuml times a2atildeltszligaumlgtszliglOuml times j atilde auml

G QsObnJ H MJeumlYZJ H [SXIacuteNPfcfUacute^e[]ZaringNPQsOYMNPY Oe[ H N Y H hjb H jhZJ`[SXUPJUb H [PhQcNPfOtildeYZKNPbnJSefRJ H jYZ N`PJ H MeJeumlhZJ[]QR[]OYJUP[]fVUPJ H MehZ[]j[]M NrXqNSZaringQcfVm [SX H hNPOYYX[PhlZ N H QR[]OYa(|aagraveszlig jj emiddot iacuteaumlYlZOslash[[ H MaNPO^ centQ ~JUb H QVUPJS^ not [PhNOslashKEgrave[]QcO H $ aacute atildeshyszligaumlN eFWFJTOe[ H JSaring$ aagravej|aacutemiddot|aagraveszlig $ j WiexclQ H M |a s szlig $ jaacute $OumlcopytimesaagravejOcircaacutemiddot|aagraveszliglOumlutimesdj WiexclQ H M |a s szliglOumlcopytimesAjOcircaacuteAumlOumlutimes9J H jY H MeJUO^JOeJ H MeJordfUPJUfR[WbLQ H moUPJUb H [PhdY JUfs^kfrac12 YZjbM H MN H aringfrac12sup1aagraveszlig $ aagravejj|aacute aelig |aelig agrave aagraveszlig $ j YlaquoXiacuteNiharingNPY H MeJ bn[]ZOslashKj H N H QR[]O[SX H MeJ ^eJLhQU~N H QVUPJ QcYOslashbn[]ObnJLhOeJU^OeWFJNihZJQcOWVH JLhZJUY H JU^ QcO YYZaringNPfcfOtilde^JX[PhlZ N H QR[]OY^ J H MBjYJkWKNPO^ H MeJ H hNPOYX[PhZaringN H QR[]ONPbLbn[Ph^QcO[ H [hdY H [Ph^eJLh NmWfR[PhyacuteXiacute[PhlZtimesjfcNaring|aagraveszlig $ jpoundaacuteAElig|a s szlig $ j agrave aelig |aelig agrave a s szlig $ jaacute $ ragrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacute frac14 frac14 a s szlig $ j^ J H MeJUOQcO H hZ[W^jbnJ H MehZJLJgZ NPQcO^eJOQ H QR[]OYaringf^QMeJg0jfRJLhQcNPO^eJLhQU~N H QVUPJOtilde[SXocirc|adOuml times jordfaqQcO H MeJIacute^QRhZJUb H QR[]O[SXcedilfrac12jaring ocirc|adOumlcopytimesszlig_frac12jOcircaacutefcQZUcedil iacute ocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave admacrfj ^QMeJgZaringN H JLhQsNPfg^eJLhQVUiN H QVUPJOtilde[SXuumlStimesYa $ szliglOumlcopytimes)jaringsup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j|aacutefcQZUcedil iacute uumlStimesa $ ragrave3frac12ba $ jszliglOumlutimes agrave3frac12sup1a $ jj uuml]timesa $ szliglOumlcopytimesdjagrave admacr j^QMeJaumlYZMNiKEgraveJOtilde^eJLhQU~N H QVUPJOtilde[SXOcircuuml]timesa $ szliglOumlutimes)jaring

uumlnotraquotimes a $ szliglOumlcopytimesUcircszlig_frac12 jaacutefcQZUcedil iacute uumlStimesYa $ szliglOumlutimesragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave admacrS]j

uumlnyacutenthornnyumll13YSordmY_Fordfy

yenKbrvbarsect =4 acirc $ hq centUWQR[]jYZfVmSe-centmaJkBKNPO^QcO[ admacr jUacuteNPbLbn[Ph^QcOF[ H [hdY H [Phd^eJLhordfNmBfR[PhordfXiacute[PhlZtimesjfcNeWFJaumlMNUPJSaring sup1uumlStimesYa $ szliglOumlcopytimesUcircszlig_frac12 jaacuteAumluumlnotraquotimes a $ szliglOumlcopytimesszlig_frac12jhuumlStimesa $ szliglOumlcopytimes)j frac12sup1a $ j admacrj J H MeJUOabn[]ZOslashK-j H JZOslash[PhJaumlKhZJUbLQcYZJUfVm H MJ0jfRJLhQcNPO ^eJLhdQVU~N H QUPJauml[SXcopyocirc|adOumlcopytimesdj^ JMNUPJSaringocircOcircadOumlutimesaagravejj ocircOcircadOumlutimes)jagrave aacute fagrave = thorn yuml uuml times a $ aagravejszliglOuml times aagravejj $ uuml times a $ szliglOuml times j $ FH admacrSmacr]j5O H MJohY H QcO H J[PhdNPfdeltWFJZaringN`PJ H MeJU~NihdQcNicentfRJ bMNPO[PJ $ aagravejaacute $ agrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacuteethicirc7a2atildeshyszligaumlFjszligicirc cent a2atildeltszligaumlj eWMQcbdM[]QVUPJUYaring thorn yuml uuml]timesYa $ aagravejszliglOumlcopytimesYaagravejj $ aacute admacrS]j

5 uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlutimes agrave3frac12sup1a $ jjlt^eJ H ocirc a $ jlt $WMJLhZJocirc a $ jQcY H MeJgXiacute[]fcfR[WQcO[aringSNPbn[PcentQcNPOtZaringN H hdQkKaring

ocirc a $ jaacute oacute fcedilxagrave frac14 iacute oslashfrac14Uordm agrave frac14 iacute oslashfrac14 ugraveagrave frac14 iacute acircfrac14ordm fcedil agrave frac14 iacute acircfrac14 ugrave ocircNPO^ YZ[eFWNtildeJIacuteMNUPJSaring

^eJ H ocirc a $ jOcircaacute fUragravee^QVUKafrac34frac12sup1a $ jjragrave cent ^eJ H amacr frac12sup1a $ jjMJUOWNtildeJauml[Pcent H NPQcOOaring

fsQZcedil iacute ^eJ H ocirc a $ j fagrave aacute ^QVUKafrac34frac12sup1a $ jj admacr]zSjMJJBjN H QR[]OxadmacrSmacr]j H MeJUOcent=JUbn[]ZaringJUYaringocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave aacute fagrave middot uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jjlt 13raquo ocirc a $ jlt $ uumlStimesa $ szliglOumlcopytimesAj $ admacrSi]j JTbLNPO`YZjeKKEgrave[]YJ H MN H ^eJ H aocirc a $ jjfrac14aacute sfrac12 agrave frac12 $ ^ JZaringNm H MeJUO H N`PJ^eJ H aocirc a $ jjfrac34 s eNPO^ WNtildeJ ^eJUPJUfR[PK H MeJaJkWKhZJUYYZQR[]OadmacrSi]j NPYoX[]fsfR[WQsO[centmNP^^QcO[aringN H JLhZ QcO H MeJIacuteYZJUbn[]O^aQcO H J[PhNPfltWMQcfcJaumlYZjeKKhJUYZYZQcO[ H MeJtimesYZNSZOslashJ H JLhlZQcO H MJordfhY H QcO H J[PhNPfdaring ocirc|adOumlcopytimesYaagravejj ocirc|adOumlcopytimes)jagrave aacuteegraveOtildef1rOtilde cent admacrSh]j

uumlnyacutenthornnyumll13YSordmY_Fordf

s $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJSaring

Otilde aacute uuml]timesa $ ragrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave ^eJ H aocirc a $ jj $ ad s jOtilde cent aacute uuml]timesa $ szliglOumlcopytimesdj ^eJ H aocirc a $ jj fagrave $ adfj

9J H jY_ZaringN`PJordmagrave H JUO^ H [WNih^Y s ^curreniquestYZQcO[frac34admacrjiexclNPO^JOQ H Qc[]OYadmacr e macrS]jeWFJ[PJ H aringfcQZUcedil iacute Otilde aacute sup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j $

aacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ uuml times a $ szliglOuml times j frac12sup1a $ j $fcQZUcedil iacute Otilde cent aacute uuml]timesa $ szliglOumlcopytimesdj^QVUKafrac34frac12 j $

O^ Y[Xiacute[Ph H MeJgNtildejfRJLhQsNPO ^eJLhQVUiN H QVUPJSeWFJgO^Oaring ocirc|adOuml times szlig_frac12jumlaacuteyacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ amacrreguumlStimesYa $ szliglOumlcopytimes)j frac12sup1a $ j7 uuml]timesYa $ szliglOumlcopytimes)j^QVUKafrac34frac12sup1a $ jjj $aacute uumlnotraquotimes a $ szliglOuml times szlig_frac12j $ ^QVUKaduuml times frac12j $ ad j

MeJUO NiKKfVmWQcO[ H MJ hJLJUOWVAQRJZ NPOO H MeJL[PhZJZQcO ad jeWNtildeJ5ONPfcfmtimes[Pcent H NPQcOOaring ocirc|adOumlcopytimesszlig_frac12jOcircaacute uuml raquotimes a $ szliglOumlcopytimesUcircszlig_frac12j $ uacutefrac14 5 uuml]timesYafrac34frac12 eacuteAgraveiquestsup1AacuteAtildeAcircj THORN adS]jWMJLhZJ5eacuteAgraveiquestsup1AacuteAtildeAcircyQcY H MeJUacutejOQ H QcOOgraveWNih^ Oe[PhlZaringNPf H [ aelig OumlcopytimesUcirc^MeJ_NtildejfRJLhQcNPO ^eJLhQVUiN H QVUPJQcY(O[ H JU^ ocirc raquo aagravej(QcO H MeJaumlKNiKEgraveJLhNPO^ H MeJaumlYZMNiKEgraveJauml^eJLhQU~N H QVUPJyuuml raquotimes QcY(Oe[ H JU^ frac14 frac14 ^iquest acutemicrosup1cedilFLft not [PhyYQZOslashKfcQsbLQ H mSeWNtildeJ(bM[[]YJ H MeJcopyXiacute[]fcfR[WQcO[_U~NihQsN H QR[]OaeligQcO H MeJKhZ[B[SXaring$ aagravejaacute $ agrave3frac12sup1a $ j^MJiexclKh[[SXZaringNm NPfcYZ[IacutecentEgraveJiexcl^JUPJUfR[PKEgraveJU^WiexclQ H MZaring[PhZJ_[PJUOJLhNPfUiNihQcN H QR[]OYFYjbM NPYaring $ aagravejaacuteAacuteAgravea $ szligYagravejWQ H MAcircAgrave`NOslashYYZOslash[B[ H MXiacutejOb H QR[]ONPO^AcircAgravea szligYagravejcentQ ~5JUb H QVUPJS^

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ ffrac12OcircacuteIshyNT AcircE J(MNUPJ H [Otildebn[]ZOslashK-j H J H MJNtilde^QEgraveJLhZJUO HH JLhZaringY9[SXQa macr]j9QsOauml[Ph^eJLh H [Uacute[Pcent H NPQcO H MeJ

JUP[]fcj H QR[]OJBjN H QR[]O[SX H MeJ NPb H QUPJ bn[]O H []jehX[Ph H MeJ ^JUYZbnhQRK H [PhdYaumlcentNPYJU^Oacute[]OH MeJ(bn[U~NihQsNPObnJ ZaringN H hQVktimes^eJ H JLhlZ QcONPO H a2Ograveh]j^OgraveMeJ(bn[]ZOslashKj H N H QR[]OaringQcYampKEgraveJLhYXiacute[PhlZOslashJU^Xiacute[Ph H MeJIacute^eJUYZbnhQRK H [Ph_uuml thorn timesOslash yuml ^ q centUWQR[]jYZfmSeN YZQZ QcfcNihbn[]ZOslashKj H N H QR[]OabLNPOacent=JIacute^e[]OeJXiacute[PhOcircuuml thorn UgraveUcircUacuteUuml yuml ^ JiexclbLNPOaeligJkBKhJUYZYOcircuuml thorn timesOslash yuml NPYyNUacutebn[]ZTcent-QcON H QR[]Oaelig[SXgtXiacutejOb H QR[]OYamp^eJLKEgraveJUO^QcOF[[]O H MJOtildehZJ[]QR[]OwOuml timesOslash aring

uumlgtthorn times Oslash yuml a2atildeltszligaumlgtszligYagravejaacute`Ograveoacute m thorn timesOslash yumlaIgraveagrave thorn timesOslash yumlAtilde j cent ocirc adjWMJLhZJordmaacuteAuml85eWiexclQ H MAring8 H MeJordfXqjOb H Qc[]O QcO H h[B^jbnJU^ QcOpounda2Ograveh]je-NPO^aringm thorn timesOslash yuml aacute agrave thorn timesOslash yuml agrave thorn timesOslash yumlcent agrave thorn timesOslash yuml agrave thorn timesOslash yumlAElig agrave thorn times Oslash yumlCcedil agrave thorn timesOslash yumlEgrave agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlEgrave j cent agrave thorn times Oslash yumlcent aIgraveagrave thorn timesOslash yumlCcedil j cent agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlAElig j centWQ H MOaring EFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFH

agrave thorn timesOslash yuml aacute w$ thorn yuml aOtilde S times Oslash j cent atilde aumlagrave thorn timesOslash yumlcent aacute w$ thorn yuml aOtildeOgravecent Scenttimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yuml aacute w$ thorn yuml aOtildeS Stimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yumlAElig aacute w$ thorn yuml aOtilde S times Oslash jaOtildeOgravecent ScenttimesOslash j atilde aumlagrave thorn timesOslash yumlCcedil aacute w$ thorn yuml aOtilde S times Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlEgrave aacute w$ thorn yuml aOtilde cent S centtimes Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlAtilde aacute w$ thorn yuml atilde auml O^ Y[ H MJordfXiacutejOb H QR[]OY aelig thorn timesOslash yumlauml MNUPJ H MeJgXiacute[]fcfR[WiexclQcO[aeligJkBKhZJUYZYZQR[]OYaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

aelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlcent aacute aOtilde cent S centtimesOslash j centaelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlAElig aacute aOtilde S timesOslash jaOtilde cent S centtimesOslash jaelig thorn times Oslash yumlCcedil aacute aOtilde S timesOslash jaOtilde S timesOslash jaelig thorn times Oslash yumlEgrave aacute aOtildeOgravecent ScenttimesOslash jaOtilde13 StimesOslash jaelig thorn times Oslash yumlAtilde aacutemiddotf

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBnot h[]Z H MeJUYJaumlJkWKhZJUYYZQR[]OYeWFJOtildeJUNPYZQcfm ^eJU^jbnJ H MN H aring

$ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde aumlregaacute sEacutefrac12poundEcirc iuml

J H MeJUO MNUPJ H [Tbn[]ZaringKj H J H MeJ H JLhlZaringY eacute thorn times Oslash yumlauml XiacutehZ[]Z H MeJJkWKhZJUYZYQR[]OYamp[SXagrave thorn timesOslash yumlauml eWMQcbM fRJUNP^Y H [aringEFFFFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFFFFH

eacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideoslash aacute w$ thorn yuml uacute ouml $ordfdivideacirc uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIgrave yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H a timesOslash jjeacute thorn timesOslash yumlcent aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideacirc

aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIcirc yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideEuml aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideacirc thorn thorn uacute ouml $_divideIuml yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yumlAElig aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIuml aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideEuml uacute ouml $ordfdivideIuml thorn uacute ouml $_divideIcirc uacute ouml $ordfdivideIgrave yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlCcedil aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIcirc aacute w$ thorn yuml cent thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideacirc uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlEgrave aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIgrave aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideoslash uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlAtilde aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIacute aacute w$ thorn yuml thorn +ETH ouml $_dividethorn uacute ouml $ordfdivideIacute yuml Iuml 8 raquo aq^J H a timesOslash jj

O^centmJkWKhZJUYZYZQsO[ H MeJbn[UiNihQcNPObnJZaringN H hQVkpoundWQ H M H MJregXqjOb H QR[]OYagrave thorn timesOslash yumlauml NPYXiacute[]fcfR[WQcO[aring

timesOslashlaquoaacute 1NtildeNtildeNtildeNtildeNtildeNtilde3uacute ouml $ordfdivideoslashuacute ouml $ordfdivideIacute uacute ouml $_divideIumluacute ouml $_divideIacute uacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIumluacute ouml $ordfdivideIacute uacute ouml $_divideacircuacute ouml $_divideIacute uacute ouml $ordfdivideIgraveuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacute uacute ouml $_divideIgraveuacute ouml $_divideIacute uacute ouml $ordfdivideEumluacute ouml $ordfdivideIacute

6OgraveOgraveOgraveOgraveOgraveOgrave7 J H MJUO^eJU^jbnJSaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

eacute thorn times Oslash yuml aacute a fj thorn yuml ^eJ H aDC Ptimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlcent aacute a fj thorn centcent yuml ^eJ H aDC centcenttimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yuml aacute a fj thorn curren yuml ^eJ H aDC 4times Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlAElig aacute a fj thorn cent yuml ^eJ H aDC centtimes Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlCcedil aacute a fj thorn curren yuml ^eJ H aDC times Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlEgrave aacute a fj thorn centcurren yuml ^eJ H aDCcent4times Oslash j48 raquo aq^eJ H a timesOslash jjeacute thorn times Oslash yumlAtilde aacute amp^eJ H a timesOslash j48 raquo aq^eJ H a timesOslash jj

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ SWMJLhZJC EBtimesOslash QcY H MeJgZaringN H hdQk ^eJU^jbnJU^Xh[]ZOacutetimesOslasharingcentm YZjeKKhZJUYZYZQcOF[ H MeJyuuml UumlON hZ[WNPO^ H MJ I UumlON bn[]fcjFZaringOO^]MeJbn[]ZOslashKj H N H Qc[]OordmX[Ph H MeJ^eJUYZbnhdQRK H [Ph|uuml thorn UgraveUcircUacuteUuml yuml QcYyYQZaringQcfcNihNPO^WFJ H MeJUOOslashMNUPJNPfcf H MeJ(JkWKhZJUYZYZQc[]OY H [aumlbn[]ZOslashKj H J H MeJJUP[]fcj H QR[]OaeligJjN H QR[]OXiacutehZ[]Z H MeJg[PJUOJLhNPfOXiacute[PhlZIacutejfcNta macr]j^gtMQcYcopy[]QVUPJUY H MeJTJUP[]fcj H QR[]O JBjN H QR[]Osup1admacr s j^

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBΩ out

Objects

Γ

inΩ

inΩ

Background Part

-t not Upv copy ETHEgraveIcircAtildeampAacuteiacuteCcedil=AumlFcedilAtilde5ordm|sup1Aumldraquo~AElig9AumldOgravefrac14raquoUacutesup1Igravefrac14dordm|Atilde

Ω

Ω out (τ)Ω

(τ)in

N

Γ(τ)

Ω

N

v

w

N

-t not Upv ETHEgraveIcircAtildeyEcircAumldIgravefrac14dsup1raquo~AEliggfrac14raquoiEcircAacuteIcircAtilde$AcircnAtilde5AgraveAacuteAumlcedilAEliggsup1raquoUAcircnAumldfrac12AcircnAtildeEcircsup1raquoiexclAacuteIcirc~Atilde$EcircAtildecedilsup1Acirc|frac14ZAacutesup1Aumldraquo

uumlnyacutenthornnyumll13YSordmY_F2ordf

yenKbrvbarsect =4 acirc $ Smacr

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 Atilde|IumligraveAacuteAtildecedil4frac14ZAacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvyzU eacuteWsup1ordm|AringcedilAtilde5AEligfrac14iquest Eacuteiquest AgraveJ]iUumlAcircnAumldfrac12AringAacutesup1Auml|raquoOtildeAumlOgraveeAacuteIcirc~Atildeyfrac14dAgrave Aacutesup1Acirc|Atilde0AgraveAuml|raquoLAacuteAuml|AringcedilIgravefrac14raquoifrac14ordm|AtildeEcircUacuteEacuteLfrac34AacuteIcirc~AtildefTHORN$Uuml v qzqwsup1raquo~Agrave5frac12AringiEcircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquoifrac14frac12ampAacuteAtildecedilIgrave(AElig5IumlgeacuteWsup1ordm|AringcedilAtilde5AEligOtildeEcirc]iquest Atildediquest Ograve] g sup1AEligwAringifrac14frac12sup1Ocirc5frac14Aacutesup1Auml|raquo`AumldOgrave0AacuteIcirc~AtildeTAgrave5AumldcedilwcedilAtilde5AEligwOumlPAumldraquoiEcircsup1raquoordmAcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 OgraveuAring~raquoAgraveAacutesup1Auml|raquosup1raquo~Agrave5frac12Aring~Ecircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquo~frac14dfrac12ampAacuteAtildecedilIgrave(AEligraquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirc EacutePAtildeAacuteiacuteCcedil=Atilde5Atilde5raquo ugrave frac14draquoiEcirc divide JUiquestAEligwAring~Agrave4IcircTAacuteIcirc~frac14Aacute$AacuteIcircAtilderaquo~Atilde5ordm|frac14Aacutesup1AcircnAtildeAcircdfrac14dfrac12AringAtilde5AElig0frac14cedilAtildefrac12AumlCcedilEgraveAtildecedilyAacuteIcirc~frac14draquo uacutedivide Uacutefrac14raquoiEcircaumlAacuteIcirc~AtildeOumlPAumldAEligwsup1Aacutesup1AcircnAtilde(Aumldraquo~Atilde5AEligyfrac14ZcedilAtilde(Icirc~sup1ordm|IcircAtildecedilAacuteIcircifrac14raquo uacuteZdivide Iuml

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

Ecirc]Iumligraveraquo~sup1currenAacutesup1frac14dfrac12BAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 Atilde|IumligraveAacuteAtilde cedil4frac14Aacutesup1Auml|raquo ugravedugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not Upv ucirc eacuteWsup1ordmdAringcedilAtilde5AEligtimesfrac14iquest Eacuteiquest AgraveJ]ampUumlAcirc|Auml|frac12AringAacutesup1Auml|raquoAumlOgrave(AacuteIcirc~Atildearingfrac14AgraveAacutesup1AcircnAtildeOslashAgrave5Auml|raquoLAacuteAumldAringcedilIacuteIgravefrac14draquoifrac14ordm|AtildeEcirc`EacuteUfrac34AacuteIcircAtildeOcircfTHORN$Uumlv q w iquestiexclCcedilgsup1currenAacuteIcirc~AumldAringAacuteAacuteIcirc~Atildefrac14dEcirc~Ecircsup1Aacutesup1Aumldraquoifrac14dfrac12TAacuteAtildecedilIgrave(AElig5IumliexcleacuteWsup1ordm|AringcedilAtildeAElig Ecirc]iquest Atildediquest Ograve] g sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo AumlOgraveaeligAacuteIcirc~AtildeAgraveAumldcedilwcedilAtildeEumlAEligwOumlPAuml|raquo~Ecircsup1raquo~ordm AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 OgraveregAring~raquo~Agrave Aacutesup1AumldraquoeumlCcedilgsup1currenAacuteIcirc~Auml|AringAacuteIacuteAacuteIcircAtilde frac14|Ecirc~Ecircsup1currenAacutesup1Aumldraquoifrac14frac12FAacuteAtildecedilIgrave(AElig v raquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirceumlAEligwAring~Agrave4Icirc AacuteIcirc~frac14AacuteIgravefrac14icirc vOOtilde wpOumldivide z w Iuml

uumlnyacutenthornnyumll13YSordmY_F2

S $amp)(+-)013021+345627893lt=gt9A6CB

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIumligravesAacuteAtildecedil4frac14Aacutesup1Aumldraquogt ugrave|ugrave AgravedIumlieacuteWsup1raquoifrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12Acirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 AtildedIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIumlieacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvtimesLg sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo(AumldOgravePAacuteIcirc~AtildeAtildeAcircnAuml|frac12AringAacutesup1AumldraquoAumldOgravePAacuteIcircAtildeEgraveAgrave5Auml|raquoLAacuteAumldAringcedil-frac14draquo~EcircNtildeAacuteIcirc~AtildeEgraveAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 v Ccedilgsup1AacuteIcircAuml|AringAacuteAacuteIcircAtildeEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircFAacuteAtilde cedilIgrave w OgraveregAumldcedilEgraveAacuteIcircAtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoAumlOgraveAacuteIcircAtilde9Ograveufrac14dAgrave5AtildeAring~AEligwsup1raquo~ordmyAacuteIcirc~Atilde9Agrave5AumlZAcirc|frac14Zcedilsup1frac14draquo~AgraveAtildeIgravefrac14Aacutewcedilsup1currenicirc]Iuml

frac14Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcircnAtilde EacuteIumligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 v AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde w Agrave|Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacutefrac34 v Acircdfrac14cedilsup1frac14draquoAgrave5Atilde w-t not Upv h=AumldIgrave(Oumlifrac14cedilsup1AEligwAumldraquoOtildeAumldOgraveAacuteIcirc~Atilde$sup1raquo~sup1currenAacutesup1frac14dfrac12eAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34iexclAgrave5Auml|Igrave(OumlAringAacuteAtildeEcircAringAEligwsup1raquo~ordmAacuteIcirc~Atilde$AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde0Igravefrac14Aacutewcedilsup1currenicircv iordmdAringcedilAtildeFEacute w AacuteAumliexclAacuteIcircAtildeAuml|raquoAtildeFAgrave5AumldIgrave(Ouml~AringAacuteAtildeEcircTAringAEligwsup1raquo~ordmiexclAacuteIcircAtildeFAcircdfrac14cedilsup1frac14draquoAgrave5Atilde v ~ordm|AringcedilAtildeFAgrave w OgraveregcedilAumldIgrave AacuteIcirc~AtildeNtildeAEligfrac14dIgrave(Atildesup1raquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcirc|Atilde v iordmdAringcedilAtilde$frac14 w Iuml

uumlnyacutenthornnyumll13YSordmY_F2_a

yenKbrvbarsect =4 acirc $ ]z

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv Oslash| THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5AtildeccediliacuteAtildecedilsup1UgraveUegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_o

Si $amp)(+-)013021+345627893lt=gt9A6CB

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv ordf THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5Atildeccedilqfrac14dUgraveUsup1currenfrac34LAumldegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_y

RR-0114-SJEHANpdf
  • wwwi3sunicefr
    • httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf
Page 26: LABORATOIRE INFORMATIQUE, SIGNAUX ET SYSTEMES DE …mh/RR/2001/liste-2001.pdf · 2002. 6. 27. · [Dir01] DIRAT L. “Outils pour des Mathématiques Interactives et Distribuées”

f $amp)(+-)013021+345627893lt=gt9A6CB JaeligbLNPO`O[ H QcbnJ H MN HH MeJtimes^eJLKEgraveJUO^eJUObnJauml[SX H MJIacute^eJUYZbnhdQRK H [PhY[]OwagraveeEgraveNPO^aY[ []OH MeJiexclbLjehYUPJJUP[]fcj H QR[]OOeQcO^jbnJUY0NP^^Q H QR[]ONPf H JLhlZaringYFQcO H MeJiexclJUP[]fcj H QR[]O JjN H QR[]O[SX H MJFNPb H QVUPJ(bn[]O H []jeh^SMeJNP^^Q H QR[]ONPf H JLhZaringYQX[]jO^IacuteQcOoa macr]jbLNPOOe[ H hZJUNP^QsfVmcentEgraveJtimes[Pcent H NPQcOeJU^ WMJUO H MeJOslash^mBONSZaringQcbLNPfampYZbMJZOslashJaringQcYOtildeQcO H hZ[W^jbnJU^eumlNX H JLh H MeJOslashbn[]ZaeligVKj H N H QR[]Oa[SX H MeJaelig^eJLhQVUiN H QVUPJaeligjYZQcO[o0jfcJLhVA9N[PhNPOF[PJIacuteJBjN H QR[]OY^MjYe-Q H QcY[SX=KhQZaringJOeJUbnJUYZYZQ H m H [TQcO H hZ[B^jbnJ H MeJ^mWONSZaringQsbLNPfeYZbMeJZaringJiexclQcO H [ H MeJbnhQ H JLhQR[]OQ H YZJUfVXiexclQcO[Phd^eJLh H [JUNPYZQsfVmsup1[PJ H H MeJUYJaNP^^Q H QR[]ONPf H JLhlZ Y QcO bLNPYJa[SXhJ[]QR[]OWV^eJLKEgraveJUO^JUO H ^JUYZbnhQRK H [PhdY^MNPO`BY H [ H MeJUYJeumlNP^^Q H QR[]ONPf H JLhlZaringYeWFJ`JUOYZjehZJH MeJordfXqNPY H JUY H JUP[]fcj H QR[]O [SX H MeJIacutebLjehYUPJ H [WNih^YiexclNZaringQcOQZIacutejZ [SX H MeJTbnhdQ H JLhQR[]OO^ JeumlbLNPO NPfcY[hZJZaringNihY` H MN H H MeJUPJUfR[BbLQ H m[SX H MeJ bn[]O H []jhQsOa macr]j bLNPOcentEgraveJ K=[]YQ H QVUPJ[PharingOeJ[]N H QVUPJS^|MQcYaeligNPO QcO H JLhZJUY H QcO[eumlKh[PK=JLh H mOacute[SXiexclhZJ[]QR[]OWVcent-NPYJU^NPb H QVUPJ bn[]O H []jehY^ q O H MeJ bn[]O H hNihYm H [ centEgrave[]jO^NihYmVcentNPYJU^7NPb H QVUPJ bn[]O H []jehdYehZJ[]Qc[]OWVcentNPYJU^7NPb H QVUPJbn[]O H []jehYOslashNPfcfR[WYZ[]ZOslashJKNih H Ytimes[SX H MeJ bLjehYUPJ H [YZMehQsO`WMQcfRJ[ H MeJLhY(JkWKNPO^O^FMjY H MeJaumlQcOQ H QsNPfcQVcurrenUN H QR[]O QcYfRJUYYbn[]OY H hNPQsOeJU^O^^ macr^iexclEacuteltIacuteETHNtildeFETHEacuteshyOacute Eacute10wETH9IgraveumlIgravesup1+shyEacuteltEumlETHETH3EacuteshyOacuterIgrave5euml1ONtildeFETH32EacuteltOacute0EacuteltEgravexIcircEacuteshyIacute5IgraveIgrave2shyNtildeshyIacuteEumlOgraveIgraveIcirclaquoEacute10C8ltIgraveIcircd=KEgrave(ETHEacuteltEgraveIcircMJu[P[]NPf[SX H MQsY$KNih H QsY H [timesbn[]ZaringKj H J H MeJiexclJUP[]fcj H QR[]O JjN H QR[]Oaring[SX H MeJNPb H QVUPJbn[]O H []jehOcircXiacute[Ph0Y[]ZOslashJ(JkeNSZOslashKfcJUY$[SX-hJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhY^SgJ H jY H N`PJY[]ZaringJT^eJUYZbnhQcK H [PhY(^eJLKEgraveJUO^QsO[aelig[]O H MeJyZOslashJUNPOBSOtimesOslash [Phiexcl[]O H MeJgUiNihQcNPObnJjuFtimesOslash [SXH MeJOtildeJUP[]fUBQcOF[OslashhZJ[]QR[]OwOumlcopytimesOslashaagravejaringEFFG FFH SOtimesOslashKaagravejumlaacute iacute $ w$ thorn yuml Otilde atilde auml WiexclQ H M icirctimesOslashaacute w$ thorn yuml atilde aumlu centtimes Oslash aagravejsup1aacute iacute $ w$ thorn yuml aOtilde SOtimes OslashKaagravejj cent atilde auml^ macr^f^iumlordfcentltshyltAringordfregethIumlIgravecurrenRAringcentmicroETHfrac34IumlltlaquomicroRreglaquoNOacute]currenRlaquosectsup1jCcedilR RAringordfregL Rlaquo3shy JTbdMe[B[]YJ H MeJgXiacute[]fcfR[WQcO[OslashYJ H [SX^eJUYbnhQRK H [PhYaring

uuml thorn UgraveUcircUacuteUuml yuml ^e[BJUYOe[ H ^eJLKEgraveJUO^[]Owagraveuuml thorn timesOslash yuml aacutecntildeaLuOcenttimes Oslash j a zSjWMJLhZJampntildeaOgravejQsYNOslashKEgrave[]YZQ H QVUPJiexclXqjOb H QR[]O[SX$bLfcNPYYograve aj^MQcYiexclUPJUfR[WbLQ H mumlUPJUb H [PhOslashQcYaumlbn[]ZaringKj H JU^centmeumlhZJLKfcNPbLQsO[ H MeJ H JLhZaringYauml[SXga jgWQ H MH MeJUQch$JkBKhJUYZYZQR[]OY^ J hY H JkWKhZJUYZY H MeJ^eJUYZbnhQcK H [Ph|uuml thorn timesOslash yuml NPYyNTbn[]ZTcentQsON H QR[]O[SXamp^e[]ZaringNPQcOY(QcO H J[PhdNPfcYaring

uuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacutemiddot thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn timesOslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejjaacutecntildeoacute agrave thorn timesOslash yuml aagravejagrave thorn timesOslash yumlcent aagravejfocirc a i]j

uumlnyacutenthornnyumll13YSordmY_FPa

yenKbrvbarsect =4 acirc $ fzWMJLhZJSaring EFFG FFH agrave thorn timesOslash yuml aagravejpoundaacute w$ thorn yuml aOtildegta2atildeltszligaumlj SOtimes OslashaagravejjUcirccent atilde aumlagrave thorn timesOslash yumlcent aagravejpoundaacute w$ thorn yuml atilde auml a h]j O^ H MBjYaring aelig thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacuteacircaOtildeKa2atildeshyszligaumlFj S timesOslash aagravejjUcirccentaelig thorn timesOslash yumlcent a2atildeshyszligaumlKszligYagravej|aacute f ad s j Y5XiacuteNihaumlNPY H MeJOslash^e[]Z NPQcO`QsO H J[PhNPfsYUacute[SX H MeJOslash^eJLhQVUiN H QVUPJaelig[SX H MJXqjOb H QR[]OY aelig thorn timesOslash yumlaumlNihZJaumlbn[]ObnJLhOeJU^OeFWFJauml[Pcent H NPQsOOaringEFFFG FFFH w5$ thorn yuml frac14ltotildeouml $_divideoslashfrac14 atilde aumlordmaacute frac14ltugrave $frac14 w$ thorn yuml aOtildeKa2atildeshyszligaumlFj SOtimesOslashKaagravejj atilde aumlaacute sw5$ thorn yuml frac14ltotilde ouml $_divideacircfrac14 atilde aumlordmaacute s adfjMJ H JLhZaringY eacute thorn timesOslash yumlauml NPfcY[aringMNUPJ H [ cent=Jaumlbn[]ZaringKj H JU^OeNPO^tWNtildeJg[PJ H aringEFFFG FFFH eacute thorn

timesOslash yuml aacute w$ thorn yuml uacute ouml $_divideacircntilde raquo7ucirc uacute ouml $_divideoslashuacute ouml $_divideacircyacuteuuml atilde aumlaacutecntilde raquo aLu centtimesOslash jeacute thorn timesOslash yumlcent aacute w$ thorn yumlBthorn uacute ouml $_divideoslashthorn uacute ouml $_divideacirc yuml acirc ntilde raquo ucirc uacute ouml $_divideoslashuacute ouml $_divideacirc uuml atilde aumlregaacute u centtimes Oslash ntilde raquo aLu centtimes Oslash j

G QsObnJ H MeJOslash^e[]Z NPQcO`QsO H J[PhNPfsYiexcl[SX frac14ltotildeouml $ordfdivideoslashfrac14 NPO^ frac14ltotildeouml $_divideacircfrac14 NihZJaeligJBjNPf H [currenLJLhZ[poundadfjeWFJOtildebLNPO ^QRhZJUb H fVm bn[]ZOslashKj H J H MeJiexclUPJUfR[WbLQ H mregUPJUb H [Ph[SX H MeJOtildeNPb H QVUPJTbn[]O H []jehuXiacutehZ[]Za macr]jNPO^WNtildeJyO^Oaringaelig Yacuteaagravejaelig agrave aacuteuumlgtthorn timesOslash yuml uumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn otilde)yuml dacute uumlgtthorn otilde)yuml eacutentilde raquo aLu centtimes Oslash jaaOtilde SOtimesOslashj cent u centtimesOslash jcedilQeacute ad j5Otad jeOgraveWFJbLNPOaringhJZaringNihY` H MeJ(KhZJUYJUObnJ[SX H MJNP^^Q H QR[]ONPf H JLhlZntilde raquo aLuOcenttimesOslash jaaOtilde SOtimesOslashj cent u centtimesOslash jeacuteacirc^^ macr^ ^iumlordfcentltshyltAringordfregethIumlIgravecurrenRAringcentmicroETHfrac34IumlltlaquomicroRreglaquoNOacute]currenRlaquosectsup1jpoundn Rlaquo JTbdMe[B[]YJ H MeJgXiacute[]fcfR[WQcO[OslashYJ H [SX^eJUYbnhQRK H [PhYaring uuml thorn UgraveUcircUacuteUuml yuml ^e[BJUYOe[ H ^eJLKEgraveJUO^[]Owagraveuuml thorn timesOslash yuml aacutecntildeaOtilde S timesOslash aagravejj adS]j

uumlnyacutenthornnyumll13YSordmY_FPo

fi $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJampntildeaOgravejQsYNOslashKEgrave[]YZQ H QVUPJiexclXqjOb H QR[]O[SX$bLfcNPYYograve aj^ YKhZJUWQR[]jYZfVmSe H MeJlaquoUPJUfR[WbLQ H mfrac34UPJUb H [PhTQcYbn[]ZOslashKj H JU^eumlcentmhZJLKfsNPbLQcO[ H MJ H JLhZaringY[SXua jcopyWQ H M H MeJUQRh(JkWKhZJUYZYZQc[]OY^FMeJauml^JUYZbnhQRK H [Ph uuml thorn timesOslash yuml QcY(JkWKhZJUYZYJU^centmKaringuuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacutei thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn times Oslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejjaacutentildeoacuteOtilde agrave thorn timesOslash yuml aagravejagrave thorn timesOslash yumlcent aagravejfocirc adj

WMJLhZJSaring EFFG FFH agrave thorn timesOslash yuml aagravejpoundaacute w5$ thorn yuml Otildegta2atildeltszligaumlj atilde aumlagrave thorn timesOslash yumlcent aagravejpoundaacute w5$ thorn yuml atilde auml adSmacr]j O^ Y[aring aelig thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejOcircaacuteegraveOtildegta2atildeltszligaumljaelig thorn timesOslash yumlcent a2atildeshyszligaumlKszligYagravejOcircaacute f adS]jG QsObnJ H MeJordfXiacutejOb H QR[]OY aelig thorn timesOslash yuml NPO^ aelig thorn timesOslash yumlcent ^e[aringO[ H ^eJLKEgraveJUO^[]OtagraveeFWFJTMNUPJSaringEFFFG FFFH w$ thorn yuml frac14ltotilde5ouml $ordfdivideoslashfrac14 atilde aumlregaacute s

w$ thorn yuml frac14ltotilde5ouml $ordfdivideacircfrac14 atilde aumlregaacute s ad]zSjMJ H JLhZaringY eacute thorn timesOslash yumlauml NihZJ H MJUObn[]ZOslashKj H JU^eNPO^WFJauml[Pcent H NPQcOOaringEFFFG FFFH eacute thorn

timesOslash yuml aacute w$ thorn yuml thorn uacute ouml $ordfdivideacircntilde raquo7ucirc Otilde uacute ouml $ordfdivideoslashuacute ouml $ordfdivideacircyacuteuuml atilde aumlaacute thorn iacute $ w$ thorn yuml ntilde raquo aOtilde SOtimesOslashj atilde aumleacute thorn timesOslash yumlcent aacute w$ thorn yuml uacute ouml $ordfdivideoslashthorn uacute ouml $_divideacirc yuml acirc ntilde raquo ucirc Otilde uacute ouml $ordfdivideoslashuacute ouml $ordfdivideacirc uuml atilde aumlordmaacute ugrave $iacute $ w$ thorn yuml ntilde raquo aOtilde SOtimesOslashj atilde auml JUacutebLNPO H MeJUObn[]ZOslashKj H JUacute^QRhZJUb H fm H MJ_UPJUfR[WbLQ H mUPJUb H [Ph[SX H MeJUacuteNPb H QVUPJOtildebn[]O H []jhXiacutehZ[]Zigravea macr]j(NPO^WNtildeJyO^Oaringaelig Yacuteaagravejaelig agrave aacuteuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yumldacute uuml thorn otilde)yuml eacute aOtilde SOtimesOslashjicircFtimesOslash $ thorn yuml ntilderaquo)aOtilde SOtimesOslashjmiddotQeacute adSi]j

5O H MeJtimesKNih H QsbLjfcNihiexclbLNPYZJIacute[SXIcircntildeaOgravejuaacuteOslashScenteKWFJtimesMNUPJnntilde raquo aOgravejcopyaacute NPO^ H MeJLhZJXiacute[PhZJSeH MeJiexclNP^^Q H QR[]ONPf H JLhlZaringYebn[]ZaringQcO[gXiacutehZ[]Z H MeJ UiNihQcN H QR[]O [SX H MeJiexcl^eJUYbnhQRK H [PhYOcircWQ H MagraveeNihJJjNPf H [gcurrenLJLhZ[^[WNtildeJUPJLheWQsOordmZOslash[]Y H bLNPYZJUYe H MQsYyNP^^Q H Qc[]ONPf H JLhlZoslashQsYyOe[ H

uumlnyacutenthornnyumll13YSordmY_FPy

yenKbrvbarsect =4 acirc $ fhcurrenLJLhZ[^ not [PhaeligJkeNSZOslashKfRJSeampQVXUgraventildea]jaacute yuml Wiexcl cent eshyWiexclQ H MN`KEgrave[]YZQ H QVUPJ bn[]OY H NPO H eQWFJMNUPJSaring

ccedil aacuteFuumlgtthorn timesOslash yuml uumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn otilde)yuml uumlgtthorn otilde)yuml eacute aOtilde SOtimesOslashjicircFtimesOslash $ thorn yuml aOtilde SOtimesOslashj IcircAumlaOtilde SOtimesOslashj cent adSh]j^ ^~IacuteFEumlIgraveFIacute5IgraveFOacuteETHNtildeFETHEacuteshyOacuteAgraven13ETH9 ETH9IgraveumlEumlIgravesup1+ltIgraveFEumltIcircIgraveFETHbIacute5IgraveFETH9shyEacute18 YXqNih0NPY H MeJOBjFZOslashJLhdQcbLNPfeQZOslashKfcJZOslashJUO H N H Qc[]OtimesQsYybn[]ObnJLhOeJU^eSWNtildeJbLNPOZOslash[W^eJUf H MeJNPb H QVUPJaumlbn[]O H []jeh_WQ H MNPOJkBK-fcQcbLQ H KNihNSZOslashJ H JLhdQVcurrenUN H QR[]ObaN[PhNPO[]QcNPOXiacute[PhlZtimesjfcN~VH QR[]OKjaelig[Ph NPO QCZOslashKfcQcbLQ H []OeJraNtildejfRJLhQsNPO Xiacute[PhlZIacutejfcN H QR[]Ogtj^ G JLJra G J H MQcNPOOe5fhSh s jNPO^egraveaJUfcQcO[PJ HH J NPO^ _a[]O H N[]ON H e sSs fjX[PhaeligNPOQcO H JLhZJUY H QcO[eumlbn[]ZOslashKNihdQcY[]OcentEgraveJ H WFJLJUO H MeJ H WNtilde[ZOslashJ H M[B^Y^ iexclO[ H MeJLhOtildeQcO H JLhJUY H QcO[aringhJUBQRJW[]O H MeJtimes^Q=JLhJUO HZOslashJ H M[B^Y[SX$NPb H QVUPJIacutebn[]O H []jehQcY(Kh[PK=[]YZJU^ QcOpoundaw_[]O H N[]ON H J H NPfd^Ve sSs fj^iexclJLhZJSeWFJaumljYJ H MeJaumlfRJUPJUfYZJ H ZOslashJ H Me[W^ NiKKhZ[]NPbdM KhZ[PKEgrave[]YJU^centm q YMeJLhNPO^G J H MQcNPOa q YZMJLh NPO^ G J H MQcNPOe fhSiSi]j centj H hJ[]QR[]OWVcentNPYJU^ NPb H QVUPJeumlbn[]O H []jehdYZaringNmNPfcYZ[ centEgraveJQZOslashKfcJZOslashJUO H JU^7centmjYQcO[`XNtildeV4YK-fcQcOeJUYXiacute[PhaeligNPOJkWKfcQsbLQ H K-NihNSZOslashJnVH JLhQcurrenUN H QR[]O ayhZJUbLQc[]Y[ NPO^XNihfcNPj^Oe sSs fj^shyMJ`PJmeumlQc^eJUN [SX H MeJOslashfRJUPJUfampYJ HZOslashJ H M[B^QsY H [ QcO H hZ[W^jbnJaumlNPO`NPjkWQsfcQcNihYmXiacutejOb H QR[]O l a2atildeltszligaumlgtszligYagravejYZjbdM H MN H YacuteaagravejQcY H MJtcurrenLJLhZ[OacutefRJUPJUfYJ H [SX l ^OcircMJXiacutejOb H QR[]O l QsYaelig[SX H JUO bMe[]YJUO H [centEgraveJ H MeJYZQ[]OeJU^ ^QcY H NPObnJordfXiacutejOb H QR[]O[SXQYacuteaagraveje-NPO^ QsY H MeJUObdMNihNPb H JLhQVcurrenLJU^acentmKaring

YacuteaagravejOcircaacute a2atildeltszligaumljPO l a2atildeshyszligaumlKszligYagravejaacute s a2 s jMQcYOcirc0jfRJLhQcNPOordmXiacute[PhlZtimesjfcN H QR[]O KhZJUYZJUO H YFYJUPJLhNPfEgraveNP^UiNPO H N[PJUYga G J H MQcNPOOeKfhShS]j^not QRhY H fVmSe H MeJabLjehYUPJ l ZaringNmcenthJUN`[PhoZOslashJLhY[PJNPY H MJXiacutejOb H QR[]O l JUP[]fUPJUYeNPO^ H [PK=[]fc[S[]QcbLNPfbdMNPO[PJUYFNihZJ H MBjY$JUNPYZQsfVmOslashMNPO^fRJU^^ G JUbn[]O^fVmSe H MJJUP[]fVUWQcO[XqjOb H QR[]O l a2atildeshyszligaumlKszligYagravejNPfVWNmWY(hZJZaringNPQcOY(NlaquoXiacutejOb H QR[]O NPfcfR[WQcO[timesJltz bLQRJUO H OBjFZOslashJLhVQcbLNPfFYZbdMeJZOslashJUY^OcircMQRh^fVmSe H MeJ[PJL[]ZOslashJ H hQcb KhZ[PKEgraveJLh H QcJUYT[SX H MeJ bLjehYUPJSe$fcQV`PJ H MeJbLjehlU~N H jehJ NPO^ H MeJOslashOe[PhlZ NPfshyUPJUb H [PhordfJUfs^eacute e=bLNPO centEgraveJIacuteJUY H QZaringN H JU^euml^QRhZJUb H fmXiacutehZ[]Z H MeJTfcJUPJUfgYJ H XqjOb H QR[]Oaring aacute V ucirc l l uuml NPO^ eacuteecircaacute l l a2FfjMJJUP[]fsj H QR[]O JBjN H QR[]O H MeJUO centEgraveJUbn[]ZOslashJUYaringaelig l aagravejaelig agrave aacuteegraveccedilacute l a2 jMJregUPJUfR[WbLQ H msup1XiacutejOb H QR[]OxccedilEQcYIacutebn[]ZaringKj H JU^7[]OfVm[]O H MeJbLjehYUPJYacuteaagravejaumlcent-j H WFJbLNPO Jk H JUO^ Q H YFJkBKhZJUYZYZQR[]O H [ H MeJiexclWMe[]fRJUacuteQZaringN[PJOtilde^e[]Z NPQcOoOumlordf^[OslashQZOslashKfRJZaringJUO HH MeJIacutefRJUPJUf9YJ H ZOslashJ H Me[W^OeY[]fsj H QR[]OYuZtimesjY H centEgraveJgXiacute[]jO^ H [ bLQRhbLjZyUPJUO H Kh[PcentfRJZaringY

uumlnyacutenthornnyumll13YSordmY_FP

s $amp)(+-)013021+345627893lt=gt9A6CBbn[]ZaringQsO[ Xh[]Z H MeJpoundXqNPb HH MN H`H MeJYZQV[]OeJU^ ^QcY H NPObnJumlXqjOb H Qc[]O l QcYaOe[ H NY[]fsj H QR[]O[SX H MeJyiexcl a2 jeEgraveYJLJa []ZOslashJUYNPO^ not NPjF[PJLhNPYe sSsSs jyacuteXiacute[Phiexcl^J H NPQcfcY^5Oaelig[]jehWF[PhY`gte H MJuXiacutejOb H QR[]O l QcYamphZJUQsOQ H QcNPfcQcurrenLJU^TY[ H MN H Q H hZJZaringNPQcOYampNOtilde^QsY H NPObnJXqjOb H QR[]OenYZJLJ5aq jecentEgraveJLh H NPO^gcOtilde[PhdOeKhZ[PcentY H e sSs fJLcenthZJUjFUPJSe sSsSs jOXiacute[Ph^J H NPQcfcY[]O H MJOtildehZJUQcOQ H QsNPfcQVcurrenUN H QR[]O JBjN H QR[]OO^5Oeuml[Ph^eJLh H [QCZOslashKhZ[UPJaringOjFZaringJLhQcbLNPfJltz bLQRJUObmSeOWFJaringbn[]ZOslashKj H J H MeJOslashJjN H QR[]O[]O NIacuteONihhZ[Wcent-NPO^aringJUObLfc[]YZQcO[ H MJiexclfRJUPJUf s [SX H MeJUacutefRJUPJUf-YJ H XqjOb H Qc[]OO^ JUacuteNPfcY[jYZJZtimesjf H QRhZJUYZ[]fcj H QR[]O H JUbdMOQBjeJUYcentmZaringN`BQsO[ H MeJFNPb H QVUPJ(bn[]O H []jh$JUP[]fVUPJcopyhY H[]ONOslashfc[W hZJUYZ[]fcj H QR[]O QZ N[PJS^FMeJordfONPfbn[]O H []jeh[Pcent H NPQcOeJU^Xiacute[Ph H MQcYhJU^jbnJU^QZ N[PJaumlQcY H MeJUOjYJU^ NPYNPOQsOQ H QcNPfEgravebLjehYUPJordfXiacute[Ph H MJOtildehZJUNPfgYZQVcurrenLJaumlQCZaringN[PJS^

EparaacuteAgravegtmicrosup1acuteIKJcedilJT2MgtI MraquowMgtmicrosup1MAgravegtacuteIltacuteMgtPltAtilde iquest acuteAgravegtT2MKIshyAtildeAcirccedilAtildeacuteNicircMgtI cedilAEligMgtmicroOcircacuteOgraveJTCJT13MKI sup2OcircacuteJordfsacuteacuteI Jfrac14ltacutegcedilFLT2cedilIshyROgraveacuteAtilderaquoAMLBqoLacute13AtildeR]cedilsup32acute GmicrobcedilAgraveacuteAtilde5O H MQcYUacuteYJUb H QR[]OOeOWFJOslashKhZ[PKEgrave[]YJaeligY[]ZOslashJOslashhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhY H [YJ[iVZOslashJUO H M[]ZOslash[S[PJUOeJL[]jYiexclhZJ[]QR[]OYiexcl[]Ofrac34[PhZJmBYbLNPfRJIacuteQZ N[PJUY^gtMJUYJIacute^eJUYbnhQRK H [PhYiexclNihZJcentNPYZJU^[]O H MJZaringQcOQZaringQVcurrenUN H QR[]O [SX H MeJU~NihdQcNPObnJUYauml[SX H MJ H WF[`bn[]OYZQc^eJLhZJU^OacutehZJnV[]QR[]OY^ 5O H MJ7YJUbn[]O^ K-Nih H e H MJQZOslashKEgrave[Ph H NPObnJOacute[SX H MeJNP^^Q H QR[]ONPf H JLhZaringYebn[]ZaringQsO[XiacutehZ[]Z H MeJiexclU~NihdQcN H QR[]O [SX H MeJUacute^eJUYZbnhQcK H [PhYWQ H M H MeJiexclJUP[]fUBQcOF[IacutehZJ[]Qc[]OYeQcY9MQV[]MfcQ[]M H JU^O^ G QCZOslashKfRJJkWNSZaringKfRJUY9YMe[W H MeJ0QZOslashKEgrave[Ph H NPObnJ$[SX H MeJUYJ0NP^^Q H QR[]ONPfH JLhlZ Y H [ NPbMQRJUPJ H MeJOtildeJkWKEgraveJUb H JU^aYJ[]ZaringJUO H N H QR[]O^^f^laquoIgraveIcirc=KEgrave(FETHOEacuteltEgraveIcircEcircgtNtildeltIcircIgrave8 EacuteshyOacute ETH9Igravek+NtildeshyEgrave13NtildeshyOacute=KIgraveC0EacuteshyEgraveh4ltEgraveOIgravesup1QIcirc=NtildeltEumlOgraveIgrave2Iacute Ntilde4ltIgraveIcircMJQcO H JUOYZQ H mregXiacute[Phu[PhZJmWYZbLNPfRJaumlQZ N[PJUY(QcYhZJLKhZJUYZJUO H JU^centm NlaquoXqjOb H QR[]OOtilderegaringOgraveOumlOtilde 13ordfcentwntilde Otilde 13laquo^ JaKhZ[PKEgrave[]YJ H [bZaringQcOQZaringQVcurrenLJ H MeJU~NihdQcNPObnJUYOslash[SX H MeJ H WF[bn[]OYZQc^WVJLhZJU^ Me[]Zaring[S[PJUOeJL[]jY hZJ[]Qc[]OY QcO [Ph^eJLh H [YJ[]ZOslashJUO H H MeJZ^uMJXiacute[]fcfR[WQcO[^eJUYbnhQRK H [PhY(NihJaumlYZj[S[PJUY H JU^OaringEFG FH uuml thorn UgraveUacuteUuml yuml aacutecntildeaLuOcentUgraveUacuteUuml juuml thorn times Oslash yuml aacutecntildeaLuOcenttimes Oslash juuml thorn otilde)yuml aacutecb a2Ograve]jWMJLhZJjntildea]jQcYNOslashKEgrave[]YZQ H QVUPJordfXiacutejOb H QR[]O [SX$bLfcNPYZYEacuteograve aOtilde 13yj(NPO^kb`NOslashKEgrave[]YZQ H QUPJaumlbn[]OWVY H NPO H ^MJTbn[]ZOslashKj H N H Qc[]O[SX H MeJUPJUfR[BbLQ H mUPJUb H [PhaumlQcY^JU^jbnJU^tXiacutehZ[]Z H MeJIacutebn[]ZOslashK-j H N~VH QR[]O`[SX H MeJaelig^eJLhQVUiN H QVUPJIacute[SX H MeJtimesbnhdQ H JLhQR[]Opoundocirc7^eJUPJUfR[PKEgraveJU^ QcO G JUb^^ macr^feWMQsbMfRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[aeligJUP[]fcj H Qc[]O JjN H QR[]OOaringaelig Yacuteaagravejaelig agrave aacuteethntildeaLu centtimesOslash j ntildeaLu centUgraveUcircUacuteUuml jb ntilderaquo)aLu centtimesOslash jaaOtilde S timesOslash j cent u centtimesOslash j ntilde raquo aLu centUgraveUcircUacuteUuml jaaOtilde SUgraveUcircUacuteUumlj cent u centUgraveUacuteUuml jIcirc13eacute a2Sj

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ fMJiexclYZQcOF[]fRJiexclK-NihNSZOslashJ H JLhcopyWNtildeJOtildeOeJLJU^ H [aringNP^~ZjY H QcY H MeJUacuteYYZOslash[B[ H MQcO[timesKNihNSZOslashJ H JLhb^5OregXqNPb H e H MeJ X [W ethb MNPY H MeJiexclKhZ[PKEgraveJLh H QRJUYNtilde[SXYYZOslash[B[ H MQcOF[IacutecentEgraveJUbLNPjYJOtildeQ H ZOslash[UPJUYH MeJUacutebLjehYUPJUacuteQcO H MeJUacute^QRhZJUb H QR[]O [SX9Q H YfRJUOF[ H MregXqjOb H QR[]ONPfQa G Qs^^QBQeJ H NPfd^VeOfhShS]j^^ ^~IacuteEacuteltEgraveETHOgraveNtildeltOacute=KIgravefrac34Eacute10frac34ETH9Igrave Ntilde8182ETHEacuteshyOacuteNtildeshyEumlETHIgraveFEgraveOIacute5Icirc5O[Ph^JLh H [7JU~NPfcjN H J H MeJ QZOslashKEgrave[Ph H NPObnJ`[SX H MeJ`NP^^Q H QR[]ONPf H JLhlZaringYX[Ph H MeJYJ[]ZaringJUO H N H QR[]OeuWNtildeJpoundZaringN`PJ H MJeumlNPb H QUPJbn[]O H []jehaJUP[]fVUPJ H MehZ[]j[]M H MJ iexcla2SjeQsObLfcj^QsO[ H MeJaumlNP^^Q H QR[]ONPf H JLhlZaringY^ q O H MeJUacute[ H MeJLhMNPO^OeWNtildeJaumlNPfcYZ[ZaringN`PJQ H JUP[]fUPJfrac34WQ H M H MeJwXiacute[]fcfR[WQcO[ WhZ[]OF[JUP[]fcj H QR[]OJjN H Qc[]O H MN H ^e[JUY Oe[ HQcObLfcj^eJ H MeJaumlNP^^Q H QR[]ONPf H JLhlZaringYaringaelig Yacuteaagravejaelig agrave aacuteethntildeaLu centtimesOslash j ntildeaLu centUgraveUcircUacuteUuml j`b Qeacute iuml a2Ogravemacr]jnot [Ph H MeJOtildeJkWKEgraveJLhQZOslashJUO H YeWFJ H N`PJntildeaOgravejOcircaacute ILK KafcediliexclOgravejWMQsbM[]QVUPJUYntilde raquo aOgravejaacutefdOafcedil]j(NPO^ H MeJgUiNPfcjeJOtilde[SX H MeJaumlKNihdNSZOslashJ H JLhEacutebaQcY(YJ HH [frac34f s ^OcirckBKEgraveJLhQCZOslashJUO H Y NihZJ KEgraveJLhYX[PhZOslashJU^ []O NYmWO H MJ H Qcb`QCZaringN[PJumlZaringNP^eJeumljeK [SXTNPO

Me[]Zaring[S[PJUOeJL[]jYYYBjNihZJ[SX9QcO H JUOYZQ H mwf s []O NIacutecentNPbl`[PhZ[]jO^ [SX9QcO H JUOYZQ H mtf s ^ []NPjYZYZQsNPOOe[]QcYJUacute[SXUiNihQcNPObnJ s QcY(NP^^eJU^ H [ H MQcY(YmWO H MJ H QcbOtildeQZaringN[PJS^MeJOtildeJUP[]fcj H QR[]Oa[SX H MeJTNPb H QVUPJtimesbn[]O H []jehUacute^ehQUPJUOcentmpounda2SjQcYu[]QVUPJUO`QcO not QV[^ WMQcfRJ H MeJ[]OeJ`[Pcent H NPQcOeJU^ jYZQcO[ a2Ogravemacr]j QcYordm[]QUPJUO QcO not QV[^ ^ J bLNPO hZJZaringNihY`H MN H WMeJUO H MeJoiexclQsObLfcj^eJUY H MJ NP^^Q H QR[]ONPf H JLhZaringYe H MJ YYBjNihZJ QcYgWFJUfcfYJ[]ZaringJUO H JU^acirca not QV[^ ^bjeuWMeJLhJUNPYWiexclMeJUO H MeJ |iexclD^e[BJUY Oe[ H QsObLfcj^eJ H MeJUYJNP^^Q H QR[]ONPf H JLhZaringYwWFJ7[Pcent H NPQcO N bLQRhbLfcJOacuteQcOY H JUNP^ [SX H MeJ7JkBKEgraveJUb H JU^YYBjNihZJa not QV[^ ^bj^MeJUYJhZJUYZjf H YNtildebLNPOcentEgraveJcentEgraveJ HH JLh(jO^eJLhY H [[W^WMQcfRJNPONPfmcurrenUQcOF[ H MeJiexclUPJUfR[WbLQ H mUPJUb H [PhYUacute[SXNtildeJUNPbMJUP[]fsj H QR[]O JjN H QR[]OO^ Jaringbn[]ZOslashKNihZJ H MeJ H WF[ JUP[]fcj H QR[]OYiexcl[SXH MeJlaquoUPJUfR[WbLQ H mwUPJUb H [PhYauml^jehQcO[ H MeJaeligKhZ[PKN[]N H Qc[]Oeuml[SX H MeJOslashbLjehYUPJwa2WiexclQ H Me[]j HH MeJcentEgrave[]jO^NihYmVcent-NPYJU^ H JLhlZb j^MeJ(JUP[]fcj H Qc[]OOslash[SX H MeJNSZOslashKfsQ H j^eJ[SX H MeJyacuteUPJUfR[Wb|VQ H mregUPJUb H [Ph[SXQ|iexcla2SjFQsY[]QUPJUO QcO not Q[aqYj^ ^ ^OecurrenJSe Xfrac34]eWMQsfRJ H MeJOtildeNSZOslashK-fcQ H j^eJ[SX H MeJUPJUfR[WbLQ H mwUPJUb H [PhOtilde[SX||iexclacirca2Ogravemacr]jiexclQcY []QUPJUO`QcO not QV[aqYj^ ^ ^OecurrenJSe Xfrac34]^ JOslashbLNPO[PcentYZJLhYUPJ H MN HaringH MeJUPJUfc[BbLQ H msup1WiexclQ H Me[]j HaeligH MeJNP^^Q H QR[]ONPf H JLhlZaringY QcYaeligNbn[]OY H NPO HWMJLhZJ [PcentUWQR[]jYfVm H MJaQZaringN[PJfrac34XJUN H jehJUY ^e[OacuteO[ H NiKKEgraveJUNih^ q O H MeJabn[]O H hNihYmH MeJaumlQCZaringN[PJordfXJUN H jhZJUYuWFJUfcfNiKKEgraveJUNihQcO H MeJordfUPJUfR[WbLQ H m QcObLfcj^QcOF[ H MeJaumlNP^^Q H QR[]ONPfH JLhlZ Yya not QV[aqYj^ ^ ^OecurrenJSe Xfrac34jiexclNPO^ Y[ H MeJaumlYljNihJTbLNPO centEgraveJordfWNtildeJUfsfYJ[]ZOslashJUO H JU^O^MeJyKhZJUWQR[]jYEgravehJUYZjf H YgYMe[W H MN H Q H QcY[SXeKhQCZOslashJ$OeJUbnJUYZYZQ H m H [ H N`PJQcO H [NPb|Vbn[]jO H0H MJNP^^Q H QR[]ONPf H JLhZaringYeWbn[]ZaringQcO[XhZ[]Z hZJ[]QR[]OeV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhYeQcO[Phd^eJLh H [ hZJUNPbdMaN H hdjeJgZaringQcOQCZIacutejFZ [SX H MeJaumlbnhQ H JLhdQR[]OO^

uumlnyacutenthornnyumll13YSordmY_F

S $amp)(+-)013021+345627893lt=gt9A6CBEIumlparaacuteAgravegtmicrosup1acuteIKJcedilJT2MgtI MraquoordfAEligMgtsup32MLwMKmicrobMgtAgraveacuteIshyacuteMgtPltAtilde iquest acuteAgraveKT13MKIshyAtildeAcirclaquocedilFAtildeacuteNicircMKIJfrac14ltacutepoundAEligMAringcedilFLT2cedilIltR]acuteHcedilJLTOcircfrac12sup3T13ROgravecedilJT2MgtI JMAgraverltcedilFR]acuteacuteJacuteR]JT2MgtIicircT2ItT2NQacuteM paraacutePshyacuteIltR]acuteAtildeMQcY0K-Nih H ^eJUNPfcYWQ H M H MeJOtildeYJ[]ZOslashJUO H N H QR[]O [SXMe[]ZOslash[S[PJUOeJL[]jY(hZJ[]QR[]OYQcOZtimesjfuVH QcYZK=JUb H hdNPfQZaringN[PJUY^ YNPOaJkWNSZaringKfRJSeWFJIacuteYZMe[W H MN HiexclH MeJTbn[UiNihQcNPObnJZaringN H hQVkbLNPOacent=JIacuteNUPJLhYm KEgrave[WFJLhYXqjf H [B[]f H [ YJ[]ZOslashJUO H Me[]Zaring[S[PJUOeJL[]jYbn[]fR[PhiexclhJ[]QR[]OY^F5OXqNPb H e H MeJtimes^eJ H JLhlZaringQsONPO H [SX H MeJTbn[U~NihQsNPObnJZ N H hQkKhZ[UPJUY H [ centEgraveJIacuteNaringhJUfRJU~NPO Hbn[]fR[PhaelighZJ[]Qc[]O7M[]ZOslash[S[PJUOeJUQ H msup1ZOslashJUNPYZjhZJZOslashJUO H a G NPO[SWQcOeJ NPO^r[PhdOeJSeufhShSi]j^_`QcOQZ QVcurrenUQcO[ H MQcYjNPO H Q H m ZOslashJUNPOY H MN H WFJwWNPO HH [^eJUbnhZJUNPYJ H MeJeumlbn[]ZaeligVKfcJkWQ H m[SXUacuteNeumlhZJ[]QR[]Oa hdNmJ H NPfd^Ve sSs fampN H JUjke sSsSs j^MQcY H [B[]fuZaringNmKhdNPb H QcbLNPfcfVm cent=JaumljYJU^X[Ph XiacuteNPbnJtimes^eJ H JUb H QR[]OaQsO QZaringN[PJaumlYJBjeJUObnJUY^macr^f^laquoIgraveIcirc=KEgrave(FETHOEacuteltEgraveIcircEcircgtNtildeltIcircIgrave8 EacuteshyOacute ETH9IgraveAgrave=Eacute3+NtildeshyEgrave13NtildeshyOacute=KIgravefrac34Iacute_NtildeFETHEgraveEcirc20EacuteshyEgrave=EacuteshyEumlEacuteshyEgrave2Iacute Ntilde4ltIgraveIcircMJQcO H JUOYZQ H mxXiacute[Ph bn[]fR[Ph QCZaringN[PJUYaringQcYOslashhJLKhZJUYJUO H JU^centm7NpoundXiacutejOb H QR[]OOtildeegravearingOumlOtilde 13ordfcent ntilde Otilde 13 WMeJLhZJ Otilde aacute Otilde szligYOtildeOgravecentszligYOtilde13ordf ^iexclXm NPONPfR[S[SmAumlWQ H M H MeJOacuteY H j^Fm Xiacute[Ph[PhZJmWYZbLNPfRJFQZaringN[PJUYeWNtildeJZaringQcOQCZaringQVcurrenLJ H MeJNtilde^J H JLhlZaringQcONPO H [SX H MeJFbn[UiNihQcNPObnJcopyZaringN H hQVk[SX H MeJTbn[]OYQc^eJLhZJU^hZJ[]Qc[]OY^ J5ZaringNmaringNPYYZjFZOslashJ H MN H JUNPbdM bn[]fR[PhFhZJ[]QR[]Oacute13 QsYOcircZOslash[W^eJUfcfRJU^OslashcentmOslashNg[]NPjYYZQcNPO^QsY H hQRcentj H QR[]Oeuml[SXyacuteZOslashJUNPOiexclSegraveaacute S szligPS cent szligPS NPO^7bn[UiNihQcNPObnJZ N H hQk5^MeJKh[PcentNicentQcfcQ H maring^eJUOYQ H moXiacutejOb H QR[]O QcYu[]QUPJUO centm H MeJgXiacute[]fcfR[WQcO[aeligJkWKhZJUYZYQR[]OOaring

$ampamp aOtildejOcircaacute fa )( j +cent aq^J H ayacutejj cent JkWK- f aOtilde Sltj thorn aOtilde Sltj a2Ograve]jG [eZaringQcOQZaringQVcurrenUQcOF[ H MJbn[U~NihdQcNPObnJuZaringN H hQktimes^eJ H JLhlZaringQcONPO H [SX-NPOtimesJUP[]fVUWQcO[hJ[]QR[]ONiKKEgraveJUNihY H [OslashcentEgraveJNtimeshZJUfcJU~NPO HH [[]f H [ordmZaringN`PJ H MQcYFhZJ[]Qc[]O bn[]OUPJLhY[PJ H [WFNih^Y H MeJbLfR[]YZJUY H Me[]ZOslash[S[PJUOeJL[]jYbn[]fR[PhiexclhZJ[]QR[]OO^9J H jY$Oe[ H J timesOslash NPO^0copyUgraveUcircUacuteUuml H MJbn[UiNihQcNPObnJ5ZaringN H hQcbnJUYy[SX=hJUYKEgraveJUb H QVUPJUfVmordmOuml timesOslash aagravejNPO^tOuml UgraveUacuteUuml aagravejaring

atilde aacute213 u Patilde u centatilde u atildeu cent atilde u centcentatilde u cent4atildeu5 atilde u5centatilde u54atilde67 a2zSj

WMJLhZJSaringEFFG FFH u times aumlatilde aacute iacutefaring w aring thorn yuml aOtilde times S times atilde jaOtilde auml S auml atilde j atilde aumlS times atilde aacute iacutefaring w aring thorn yuml Otilde times a2atildeltszligaumlj atilde auml WQ H M aacuteiVIgraveOacute[Ph Kf5

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ J [PcentUWQR[]jYZfm`MNUPJacuteu times aumlatilde aacuteu auml timesatilde ^shy9J H jYaumlO[ H J ^eJ H a atilde j H MJ ^eJ H JLhlZaringQsONPO H [SXH MeJaumlbn[U~NihdQcNPObnJZ N H hQkWiexclMQcbMJkBKhJUYZYZQR[]O QcY H MJgX[]fsfR[WQsO[aring

^eJ H a atilde jumlaacute u Patilde u centcentatilde u 4atilde u centatilde u atilde u cent4atilde u Patilde u cent4atilde u cent4atilde u centcentatilde u atilde u atilde u 4atilde u centatilde u centatilde a2Ogravei]jnot jOb H QR[]OY [SX H MeJeumlbn[UiNihQcNPObnJpoundZaringN H hQk ^eJ H JLhZaringQcONPO H YNihZJ jYJU^ NPY hJ[]QR[]O^eJUYbnhQRK H [PhY^ JIacutebMe[B[]YJ H MJordfX[]fcfc[WQcOF[aeligYZJ H [SX$^eJUYZbnhQRK H [PhYaringEFG FH uuml thorn UgraveUcircUacuteUuml yuml aacute98ordfaq^eJ H acopyUgraveUcircUacuteUumlAjjuuml thorn timesOslash yuml aacute98ordfaq^eJ H a timesOslash jjuuml thorn otilde)yuml aacuteOslashb a2Ograveh]jWMJLhZJ8ordfaOgravejFQcYNOslashKEgrave[]YZQ H QVUPJiexclXiacutejOb H QR[]O [SXampbLfcNPYZYograve aOtilde 13yjFNPO^Cb`NOslashKEgrave[]YZQ H QVUPJOtildebn[]OWVY H NPO H ^gJ H jYNtildeOe[W WhQ H J H MeJJUP[]fcj H Qc[]OaringJBjN H QR[]O [SX H MeJiexclNPb H QUPJbn[]O H []jehcentmbn[]ZOslashK-j H QcO[ H MJIacute^QEgraveJLhZJUO HH JLhlZaringYiexcl[SX_a j^J H NPQcfcYiexcl[SX H MeJIacutebn[]ZaringKj H N H QR[]O bLNPOcentEgraveJgXiacute[]jO^QsOaNiKKEgraveJUO^QVk X5^gtMJaumlJUP[]fcj H QR[]O`JBjN H QR[]O[SX H MJIacuteNPb H QVUPJaeligbn[]O H []jhQcY H MJgX[]fsfR[WQsO[aringaelig Yacuteaagravejaelig agrave aacute8gaq^eJ H atimesOslashjj 8ordfaq^eJ H a UgraveUcircUacuteUuml jj`b admacr s jlt8Icircraquodaq^eJ H a times Oslash jgt= ccedil A B egrave aOtilde S timesOslash jaOtilde B5 S BtimesOslash jB^eJ H aDC EBtimesOslash ja fj BGFH amp^eJ H atimesOslashj48 raquo aq^eJ H atimesOslashjj 8Icircraquodaq^eJ H a UgraveUacuteUuml jgt= ccedil I B egrave aOtilde Eacute S UgraveUcircUacuteUuml jaOtilde B S BUgraveUcircUacuteUuml jB^eJ H aDC JBUgraveUacuteUuml ja fj BKFH amp^eJ H a UgraveUcircUacuteUuml j48 raquo aq^eJ H a UgraveUcircUacuteUuml jjcedil13eacuteMJZaringN H hdQkLC JBatilde QsY ^JU^jbnJU^icircXh[]Z H MJeumlbn[U~NihdQcNPObnJbZaringN H hdQkM atilde centm YZjeKeVKhJUYZYZQcO[ H MeJ uuml UumlON hZ[WENPO^ H MeJ I UumlON bn[]fcjFZaringO^MeJeumlfcNPY H Xiacute[]jeh fsQcOeJUY [SX H MeJJBjN H QR[]ONihZJ H MeJOtildeNP^^Q H QR[]ONPf H JLhZaringY(bn[]ZaringQcO[XiacutehZ[]Z H MeJiexclU~NihQsN H QR[]O [SX H MeJOtilde^eJnVYZbnhdQRK H [PhYWiexclQ H Mordmagrave^ Y0Q H MNPYycentEgraveJLJUOOslashKhJUBQR[]jYZfVmTKhZ[UPJU^X[Ph[PhZJmWYZbLNPfRJiexclQCZaringN[PJUYeH MeJUYZJ H JLhlZaringYMNUPJ H [ cent=Jaumlbn[]OYZQc^eJLhZJU^ QsO[Ph^eJLh H [regZ N`PJ H MeJTNPb H QUPJTbn[]O H []jhbn[]OUPJLhY[PJ H [WFNihd^YNZ QcOQZtimesjFZ [SX H MJTbnhQ H JLhQc[]OO^macr^ ^~THORNUgrave2FIgraveFEgrave2Iacute_IgraveFOacuteshyETHOgraveNtildeshyEumlEgraveOIgraveIcircdEumlETHOIcircnot [Ph H MJ JkWKEgraveJLhQZOslashJUO H YeQWNtildeJ H N`PJCntildea]jordmaacute ILK Kaf[]jgWMQsbMsup1[]QVUPJUYnntilde raquo aOgravejaacutefdOafWOgravej(NPO^8ordfaOgravejaacute ILK KafIcirch cent juWMQcbdMt[]QVUPJUY8 raquo aOgravejaacute ETHOafIcirch cent j^ JbdMe[[]YZJ bbaacute f s ^QMeJaringbn[]fR[PhtimesYKNPbnJ YJUfcJUb H JU^QcYaQPszlig l szligicirclaquojeltWMeJLhZJwaOtilde aacuteRPordmjhZJLKhZJUYJUO H Y H MeJfsjFZaringQcONPObnJNPO^waOtildeOgravecent5aacute l j$NPO^frac34aOtildeS aacuteOslashicircj$hZJLKhZJUYJUO HyH MeJ H WF[bdMehZ[]ZaringQcONPObnJUY^ not [Ph H MeJbn[]ZaringKj H N H QR[]OOslash[SX H MeJuUiNihQcNPObnJSei[]Ofm H MeJfcjZaringQcONPObnJQcY(jYJU^O^

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CB5Oaring[Phd^eJLh H [aeligYJ[]ZOslashJUO H NPO Me[]ZOslash[S[PJUOJL[]jY0hJ[]QR[]OOeOgraveWFJiexclY H Nih H WQ H M NPO QcOQ H QcNPf

bLjehlUPJ0QcOYZQs^eJ H MJ0hZJ[]QR[]Oauml[SXWQsO H JLhZJUY H ^MeJybLjhYUPJ0QcY H MJUOTYZjeKK=[]YZJU^ H [JkWKNPO^jO H Qcf(Q H hJUNPbMeJUY H MeJ centEgrave[]jO^NihlmOacute[SX H MeJabn[]ObnJLhdOeJU^ Me[]Zaring[S[PJUOeJL[]jYaringhJ[]QR[]OO^MJtimesbLjehlUPJtimes^e[BJUYUacuteOe[ H [P[cent=JmP[]O^ H MJUYJaeligcent=[]jO^NihQRJUYiexclYZQcObnJSe=[UPJLh H MeJLhZJSe H MeJbnhQ H JLhQR[]OOacuteQsObnhZJUNPYJUYtimescentEgraveJUbLNPjYJ H MeJU~NihdQcNPObnJOcircu centtimesOslash [Ph H MeJ bn[U~NihdQcNPObnJtZaringN H hQVk^eJ H JLhZaringQcONPO H ^eJ H atimesOslashjUcirccentOtildeQsObnhZJUNPYJS^MeJaringNPfV[P[PhQ H MZEcentNPYJU^[]O H MeJ bn[UiNihQcNPObnJZaringN H hQVkeumlQcYaumlK=JLhlX[PhlZaringJU^euml[]ONPOQZ N[PJ [SX H MeJUBQs^eJL[`YJBjeJUObnJrnN`WQVmP[]peumlQcO[Ph^JLh H [euml^eJ H JUb HaeligH MeJYKEgraveJUN`PJLhUTYXqNPbnJS^gtMJaumlJUP[]fcj H QR[]O[SX H MJIacutebLjehYUPJIacuteQcYu[]QVUPJUO QcO not QV[^ macr^gtMeJTbn[]O H []jehiexclJUP[]fUPJUYH [ONPfcfVmbn[]OUPJLhY[PJaelig[]O H MeJIacutecent=[]jO^NihQRJUY[SX H MJyXqNPbnJa not QV[^ macr^bj^OMeJyXiacuteNPbnJaeligQcYH MeJUONPbLbLjehdN H JUfVm YZJ[]ZOslashJUO H JU^^FMeJUacuteNSZOslashKfcQ H j^eJ[SX H MeJiexclUPJUfR[BbLQ H m QsYFNPfsY[laquo[]QVUPJUOQcO not QV[aqYj^ macr^ ^OecurrenJSe Xfrac34jNPO^WNtildeJUacutebLNPO [PcentYJLhYUPJ H MN HFH MeJ5XiacuteNPbnJUacutehZJ[]QR[]O QcYUPJLhYmWFJUfcf^eJUfsQZaringQ H JU^regXhZ[]Z H MJ[ H MJLhhZJ[]QR[]OY^MJ5UPJUfc[BbLQ H m[]QUPJUO QcO not QV[aqYj^ macr^ ^OecurrenJSe XQcObLfcj^eJUY H MeJNP^^Q H Qc[]ONPf H JLhlZaringYFbn[]ZaringQcOF[yXiacutehZ[]Z H MeJ5UiNihQcN H QR[]O [SX H MeJiexcl^eJUYbnhQRKeVH [PhY5WQ H Magrave`centj H ^e[BJUYOtildeOe[ H QcObLfcj^eJ H MeJaeligcentEgrave[]jO^NihlmVcentNPYZJU^ H JLhlZ WMQcbMeumlQcYUacuteNYYZaring[[ H MQsO[ H JLhlZ^KMeJtimesNSZOslashKfcQ H j^eJOtilde[SX H MeJyUPJUfc[BbLQ H maQcYiexclOe[PhlZaringNPfcQcurrenLJU^ centEgraveJ H WFJLJUOs NPO^ macrSmacre$YZjbdM H MN HTH MeJ OeJ[]N H QVUPJoU~NPfcjJUYIacuteNihZJ fR[WFJLh H MNPO f i`NPO^ H MeJKEgrave[]YZQ H QUPJ[]OJUYNihZJTMQ[]MeJLh H MNPOpoundf i^ J bLNPObn[]ZaringKNihZJ H MJ QcOQ H QsNPfUPJUfR[BbLQ H m[Pcent H NPQcOJU^jYZQcOF[ H MeJ bn[U~NihQsNPObnJZaringN H hdQk admacr s juWQ H M H MeJOtilde[]OeJOtilde[Pcent H NPQcOeJU^jYQcO[ H MeJordfUiNihQcNPObnJrega2Sj^KMeJordfXqNPbnJTQcYOe[ H WNtildeJUfsf9^eJ H JUb H JU^QcO H MeJUPJUfR[BbLQ H m[Pcent H NPQsOeJU^ajYQcO[ H MeJUiNihQcNPObnJa not Q[^ ^bjWMJLhZJUNPYIacuteQ H QcYIacutehZJUNPfcfmumlWNtildeJUfcfF^eJ H JUb H JU^QsO H MeJQcOQ H QcNPfUPJUfR[WbLQ H m7jYZQcOF[ H MeJbn[iVUiNihQcNPObnJpoundZ N H hQk a not QV[^ ^currencentj^_MeJ UPJUfR[WbLQ H m [Pcent H NPQcOeJU^ jYZQsO[ H MeJumlU~NihdQcNPObnJ^e[BJUYOe[ H NPfsfR[W NPOJltz bLQRJUO H YJ[]ZOslashJUO H N H QR[]O`[SX H MeJyXiacuteNPbnJauml[]O H MeJaumlbn[]O H hNihYm H [H MeJIacutebn[UiNihQcNPObnJlaquoZaringN H hQk^eJ H JLhZaringQcONPO H WMQsbM H N`PJUYUacuteNP^UiNPO H N[PJaelig[SX H MeJtimesbn[]fR[PhQcOFX[PhlZ N H QR[]OO^macr^ ^WVFEumlETH=gtNtildeFETH32EacuteltOacuterETHEacute`0Ntilde=KIgravek8ltIgraveFETHIgrave5=KETH32EacuteltOacute~2Oacute+(8ltIgraveEacute IcircIgrave5euml1IgraveFOacute=KIgraveIcircMJa^eJUYZbnhQcK H [PhYOslashcentNPYZJU^[]O H MJ`bn[UiNihQcNPObnJZaringN H hdQkNihJ`QZOslashK-fRJZOslashJUO H JU^ H [^eJ H JUb H MBjFZaringNPO XqNPbnJUYQcO UWQc^eJL[OacuteYJBjeJUObnJUY^MQsYaring^eJ H JUb H QR[]OegraveZaringNm cent=J`jYJU^Xiacute[PhtUWQc^eJL[ bn[B^QcO[ H [JUObn[W^eJYJUfcJUb H QVUPJUfVm H MeJOacuteMBjFZaringNPOegraveXqNPbnJS^ not [Ph`N []QVUPJUObn[]ZOslashKhZJUYZYZQR[]OOacutehN H QR[e H MeJoXiacuteNPbnJbLNPO7cent=J H hNPOYYZ Q HH JU^bWiexclQ H MN MQV[]MJLhThN H J H [H MeJ^eJ H hdQZOslashJUO H [SX H MeJcentNPbl`[Ph[]jO^O^uMQsY QsO H JLhZJUY H QcO[KhZ[PKEgraveJLh H m QcYUiNPfcjWVNicentfcJuX[PhUBQc^JL[Bbn[]OXiacuteJLhZJUObnJUYe]WMeJLhZJ H MeJ ZOslash[]Y H QZOslashKEgrave[Ph H NPO H NPO^regZOslash[]Y H U~NihdQcNicentfRJQcOFX[PhlZ N H QR[]OQcYfR[WbLN H JU^ []O H MJordfXiacuteNPbnJaq 5ZOslash[]Oe[]j`NPO^tUacutejMNSZaringJUfde sSsSs j^ J QcOQ H QcNPfcQVcurrenLJ H MJhdY H XiacutehNSZOslashJoWQ H M7N`bLQchbLfRJ QsOYZQc^eJ H MeJXqNPbnJ H [ H hNPbY`K^MJUOOeyacuteWFJsup1ZaringN`PJ H MeJNPb H QVUPJ7bn[]O H []jeheumlJUP[]fVUPJjYZQcOF[admacr s jeiexclWQ H MX8ordfaOgravejxaacuteILK KafUgravemiddot cent j^ltMeJregONPfybn[]O H []jehtimes[SX H MeJ bLjehZhJUO H QZaringN[PJ QcY H MeJUOOacutebdMe[]YJUO7NPYNPO QcOQ H QcNPfbLjhYUPJordfX[Ph H MJUacuteOJk H QZaringN[PJS^FMeJOtildeNPfV[P[PhQ H MFZMNPYcentEgraveJLJUOKEgraveJLhYXiacute[PhlZOslashJU^[]OYJUPJLhdNPf$YJjJUObnJUY^MeJaelighZJUYjf H Y5X[Ph H MJaeligYZJjeJUObnJpoundn5JLhQV`p NihJordm[]QVUPJUOQcOnot QV[^ethz^shyMeJaringKNihNSZaringJ H hZJ bMNPYaumlcentEgraveJLJUOYZJ HaumlH [sup1f s ^QMeJordmXqNPbnJ QcYordfWFJUfcfy^J H JUb H JU^NPO^ H hNPbY`PJU^times[]O H MJ|WMe[]fcJyYJjJUObnJS^MJyhZJUYZjf H YOX[Ph H MeJNtildeYZJjeJUObnJnN`WQVmP[]p

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ macrNihZJy[]QVUPJUO`QsO not QV[^ i^ JaeligbMe[B[]YJbaacute s ^ JtimesbLNPO`YJLJ H MN HH MeJXiacuteNPbnJaeligQcYuWFJUfcf^eJ H JUb H JU^aJUPJUOaQVX H MeJaumlbn[]fR[Phiexcl[SXMJLhYZMQRh H QsY(bLfR[]YJ H [ H MJgXiacuteNPbnJIacutebn[]fR[Ph^

YOEAEligMgtIltROgravesup3PshyAtildeT13MKI5O H MQcYKNiKEgraveJLheuWNtildeJKhZ[PKEgrave[]YJN OeJW 0jfRJLhQcNPOAumlZaringQsOQZaringQVcurrenUN H Qc[]OAumlZOslashJ H Me[W^ H [bn[]ZOslashK-j H J H MJUPJUfR[WbLQ H mpoundUPJUb H [Pharing[SXNPONPb H QVUPJ bn[]O H []jeh H MN H JUOYZjehZJUYtimesQ H WQcfcfJUP[]fVUPJ NPYordfXiacuteNPY H NPYOtildeKEgrave[]YZYZQRcentfcJ H [WNih^YIacuteNZaringQcOQCZIacutejFZ [SXN bnhQ H JLhQR[]OeumlQcObLfcj^QcOF[centEgrave[ H MUacutehZJ[]QR[]OeVcentNPYJU^TNPO^OtildecentEgrave[]jO^NihYmVcentNPYJU^ H JLhlZ Y^ q jehgNiKKhZ[]NPbMIacuteQcYcentNPYZJU^Otilde[]OYZMNiK=J[PK H QZaringQVcurrenUN H Qc[]OOslashKhQcObLQRKfRJUY$NPO^ QcYyKEgraveJLhYXiacute[PhlZOslashJU^ QcO H MehZJLJ5ZaringNPQcO Y H JLKYaringf^ltO H hZ[W^jb H QR[]O[SX$NOslash^mWONSZaringQcbLNPfYbMeJZOslashJIacuteQcO H MeJTbnhQ H JLhQR[]OOe ^vF[]ZOslashKj H N H Qc[]Oaelig[SX H MeJ_0jfRJLhdQcNPOaelig^eJLhQVUiN H QVUPJ[SX H MJbnhQ H JLhQR[]OOslashjYZQcO[OtildeYZMNiKEgraveJ

[PK H QZaringQVcurrenUN H Qc[]O H [[]fcYe^vF[]ZOslashKj H N H Qc[]Oa[SX H MeJtimesJUP[]fcj H Qc[]OaJBjN H QR[]O`[SX H MeJaeligNPb H QVUPJtimesbn[]O H []jehiexclXiacutehZ[]ZH MeJT^eJLhQU~N H QVUPJS^

iexcl Ntilde _ cent G NPfcfR[WY H [hJUNP^QcfVm H N`PJNtildeQcO H [NPbLbn[]jO H9H MeJybLNPYJ0[SXBhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H^eJUYbnhQRK H [PhY H MN H NihZJo[]fR[PcentNPfcfVmN HH NPbdMeJU^ H [ H MeJ JUP[]fVUWQcO[ hZJ[]QR[]OYtimesNPO^Y[H MN H UiNihYm^jehQsO[ H MJaumlKhZ[PKN[]N H Qc[]O [SX H MJaumlbLjehYUPJS^ JTYMe[W H MN HH MeJgUiNihQuVN H QR[]O [SX H MeJUYJ^JUYZbnhQRK H [PhdY QsO^jbnJUYNP^^Q H QR[]ONPf H JLhlZaringYQcO H MeJeumlJUP[]fcj H QR[]OJBjN H QR[]Oeuml[SX H MeJaringNPb H QVUPJ bn[]O H []jeh^MJUYJ H JLhlZaringYgZtimesjY H Oe[ H centEgraveJlaquoX[Phl[P[ HH JUOQcO[Ph^JLh H [ hZJUNPbMeumlN H hjeJZ QcOQZtimesjFZ[SX H MeJtimesbnhQ H JLhQc[]OaNPYUacuteQ H MNPYcentEgraveJLJUOKEgrave[]QcO H JU^[]j H QsOJkBKEgraveJLhQZaringJUO H NPfEgravehZJUYjf H Y^

Yfrac34XiacuteNiheumlNPYeumlMe[]ZOslash[S[PJUOeJL[]jYeumlbn[]fR[PheumlhZJ[]Qc[]OY`YZJ[]ZOslashJUO H N H Qc[]OQsY`bn[]ObnJLhdOeJU^OeWFJKhZ[PKEgrave[]YJ H MeJ`bn[U~NihQsNPObnJfrac34ZaringN H hdQk^eJ H JLhlZaringQcONPO H NPY N^eJUYbnhQRK H [Ph^MQcYY H N H QsY H QcbLNPfhZJ[]QR[]OeV4^eJLKEgraveJUO^eJUO H ^JUYZbnhQRK H [PharingNiKK=JUNihdY H [centEgraveJN UPJLhlm7hJUfRJU~NPO HH [B[]fampNPO^eumlY[ Q H MNPYUacutecent=JLJUOeumlYZjbLbnJUYZYXqjfcfVm NiKKfsQRJU^ H [XqNPbnJaring^eJ H JUb H QR[]OQcOfrac34UWQc^eJL[YJBjeJUObnJUY^

iquest acuteraquoacuteLacuteIltR]acuteAtildeagraveIgravefrac14dEcircsup1Atilde5AringiquestLmiddotNtildeIumliquestUumlgIumlUTHORNampAtildeEacutecedilAtilde5AringAcircnAtilde|iquestaacuteIacuteIumlIZEgravefrac14Zcedilfrac12frac14dAringiEcirc]iquestfrac14draquoiEcirc[NtildeIumlagraveAringEacutePAtildecedilwAacute4] uacute_^J^J^ iquest)` igraveraquoLCcedilfrac14cedil4Ecircfrac14draquo~Ecirc(Auml|AringAacuteCcedilfrac14Zcedil4Ecirc

Agrave5AringcedilAcircnAtilde$AtildeAcircnAuml|frac12AringAacutesup1AumldraquoTAringAEligwsup1raquo~ordm(frac12Atilde5AcircnAtilde5frac12AEligwAtildeAacuteampIgrave(Atilde AacuteIcirc~AumlUEcircSaIumligraveraquo13] x4~rv p4PldrRtcoPl|Egraveod5v pv i4vodaumlx4shyl not vsectpqo v tu not Iumlcb$Auml|EacutePAtilde|iquestednfrac14Oumlifrac14draquoIuml

agraveIgrave(Aumldraquo~Auml|Aringiquest~igrave4IumlPfrac14raquoiEcircfWIumliTHORNampAringIcircifrac14Igrave(Atilde5frac12G] divideugrave|ugrave|ugrave iquest` igraveAacuteAtildecedil4frac14ZAacutesup1Acirc|AtildeNtildeEacute~frac14dAgrave4UgraveUCcedilEgravefrac14cedil4EcircUacuteAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoUacuteOgraveregAumldcedilIcirc~sup1Atildecedil4frac14cedilAgrave4Icirc~sup1currenEumlAgravefrac14dfrac12=CcedilEgravefrac14AcircnAtilde5frac12AtildeAacutesup1Igravefrac14ordm|AtildeAgrave5AumlUEcircsup1raquo~ordmIaIumlaeligigraveiacuteraquoS] x4rv p ildrRtcodil|ampod5v pv P4vOtildeodOslashx4shy(l not vFsectpqo v tu not Iumlg frac14raquo~Agrave5AumldAring~AcircnAtildecediliquestehEgravefrac14raquoifrac14|Ecircfrac14Iuml

agraveAringEacutePAtildecedilwAacuteiquest[NtildeIumlWfrac14raquoiEcircifWIuml13b$Aumldcedilraquo~OumlcedilAuml|EacuteAEligqAacute4] divideugrave|ugraveuacute iquestkj ldrregv shy(ldrRtcl|ipwonm5v shyNtildetuOslashtushyl not vampipwo4v tu not sect9ldp4rRtcl|Egravedt lv pv ~rRtRl|9vDm~lrRtcod~ldiTrreg~vUacutel| Uiexcloqnldp4tcldrRtRod~ iquestpoAumlIuml uacute_qEr IumlOslashagrave9Ouml~Oumlfrac12sup1AtildeEcircaacuteUacutefrac14AacuteIcirc~AtildeIgravefrac14Aacutesup1Agravefrac14dfrac12BatildeAgravesup1Atilderaquo~Agrave5Atilde5AElig5iquestPatildeOumlcedilsup1raquoordm|Atildecedil g Atildecedilfrac12frac14dordmIumlhEgravefrac14dAEligwAtilde5frac12frac12Atilde5AElig5iquest g Iumliquest~szlig0Iumleb$sup1Igrave(Igrave(Atilde5frac12Riquestifrac14raquoiEcirc[NtildeIumlatildefrac14dOumlsup1cedilAumlI] uacute_^J^Er iquest`s[Atilde5AumlUEcircAtilde5AEligwsup1AgraveFfrac14dAgraveAacutesup1AcircnAtildeyAgrave5AumldraquoUAacuteAumldAringcedilAElig_aIuml x4~rv p4PldrRtcodPldpoundUodUp4Pl|WoqodshyiUrv paumlumltutcodutet13v uacute+w iquestex uacuteyIrz^ Iuml

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CBh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34LiquestBagraveyIumlWfrac14raquoiEcircidIumlBTHORNampAringraquo~Agravefrac14raquo13] uacute4^z^J^ iquest`[ampfrac14Igrave(AtildeEumlcAacuteIcirc~Atilde5AumlcedilAtildeAacutesup1Agrave(sup1raquoUAacuteAtildeordmdcedil4frac14Aacutesup1AumldraquoaeligOgraveuAumldcedil0sup1Igravefrac14dordmdAtildeAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIuml xQ|||~pwl~ lnrRtcodNtildeodiexclsect9lrRrv p auml9Pl| ~tuyldi j l|4Utu]vx4~rvreg t not v P4v Iumlh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34Liquestgagrave0IumliquestIumlgatildeUAacute4frac14dsup1Eacuteiquest9frac14draquoiEcircdIuml9THORNampAringraquo~Agravefrac14raquo13] uacute_^J^ xiquest` THORNampAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeIacuteEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34iraquo~Ecircsup1raquo~ordmsup1raquoIgrave(AtildeEcircsup1Agravefrac14frac12iexclsup1Igravefrac14ordm|Atilde5AEligaringEacuteLfrac34Oacutesup1raquoLAacuteAtilde5ordmcedil4frac14Aacutesup1raquo~ordm ordmdcedil4frac14|Ecircsup1Atilde5raquoLAacute frac14raquoiEcirccedilAtilde5ordm|sup1Auml|raquo sup1raquoOgraveuAumldcedilIgravefrac14ZAacutesup1Auml|raquo13aIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu notI iquesteE ^4y rdugrave Iumlh=Icircifrac14raquoiquestBETHIumlWfrac14raquoiEcircIuml g Atilde5AEligwAtildeJ] dividedugravedugraveuacute iquest` agraveAgraveAacutesup1AcircnAtildeFAgrave5Auml|raquoLAacuteAuml|AringcedilAElig$Ccedilgsup1AacuteIcircAuml|AringAacuteNtildeAtilde5Ecircordm|AtildeAElig_aIuml xQ||k|~pwld lnrRtcododUacutex4shy(l not v9sectpqo4v 4tu notuU v divideJw iquest divide xJx ydividezrJr Iumlh=Icirc~Atilde5AEligwraquo~frac14dAring~EcirciquesthIumliquestfWIuml=szligAtildeOgraveYacutecedilIAtilde5ordm|sup1Atildecediliquestfrac14draquoiEcirc g Iuml5Z=AumldAring~frac12AtildeAacute4] uacute_^J^z^ iquest`currenatildeUAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12cedilAtilde5ordmdsup1AumldraquoAEligwraquoifrac14dUgrave|AtildeEumlsEacuteifrac14dAEligwAtilde5EcircAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquofrac14|Ecircfrac14dOumlAacuteAtilde5EcircFAacuteAumlyEcircsup1s]AtildecedilAtilde5raquoLAacute-Ouml~IcircLfrac34AEligwsup1Agrave5frac14dfrac12~raquoAuml|sup1AEligwAtilde9Igrave(AumlUEcircAtilde5frac12AElig_aIuml xQ||k|~pqld~ lnrRtco~$osect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4vt iquest uacute|uacute_q y~uacute|uacute xIumlh=Auml|IcircAtilde5raquoiquestIuml] uacute4^z^uacute iquest`currenmiddotraquofrac14dAgrave Aacutesup1Acirc|Atilde Agrave5AumldraquoLAacuteAuml|AringcedilIacuteIgrave(AumlUEcircAtildefrac12AEligtimesfrac14draquo~EcirceumlEacuteifrac14dfrac12frac12AumlLAuml|raquoAElig_aIuml odshyiUrv pumltutcod pwl Utc0ldix4shyl not vsectEgravepwo4v tu not x4shyl not vOtildePnv p rsldidtu not) iquest divideUuacuteduacuteydivideLuacute UIumlh=Auml|IcircAtilde5raquoiquestSIumliquestUumlIuml13ZEgravefrac14cedil4Ecircsup1raquo~AtildeAacuteiquestfrac14raquoiEcircoNtildeIumlagrave9frac34Lfrac14dAgrave4Icirc~AtildeJ] uacute_^J^z iquest`atildeUAringcedilwOgraveufrac14dAgrave5Atilde0cedilAtilde5Agrave5Auml|raquoAEligqAacutewcedilAring~AgraveAacutesup1AumldraquotimesAring~AEligwsup1raquoordmfrac14AgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilaumlIgrave(AumlUEcircAtilde5frac12AElig_aIuml igraveiacuteraquoS] Lsect=xQ|od5v pv P4v od vwodshy(v rRp tc j v rregodtimestuodshyiUrv pumltutco Iuml~atildefrac14raquoUacuteTHORNampsup1Atilde5ordm|AumliquesthEgraveagraveyIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquestEgraveUumlIuml] dividedugrave|ugravedugrave iquest`currenatildeAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquo Ouml~frac14cedilAgrave5Auml|raquoLAacuteAuml|AringcedilAEligUacutefrac14AgraveAacutesup1currenOgraveuAEligUacuteAtilde5raquosup1Igravefrac14dordmdAtildecedilsup1AtildeIacuteIgraveAtilde5Ecircsup1Agravefrac14dfrac12AtildeIacuteEcircfrac34UEumlraquoifrac14dIgrave(sup1ecircLAring~Atilde]ampfrac14Ouml~Ouml~frac12sup1Agravefrac14ZAacutesup1AumldraquoAtilde5raquoeumlAgravefrac14Zcedil4Ecircsup1Auml|frac12Auml|ordmdsup1Atilde raquoUAring~Agravefrac12Atilde5frac14dsup1currencedilAtildeJaIumlfIcircIuml THORNFIumlAacuteIcirc~Atilde5AEligwsup1AElig5iquestraquo~sup1AcircnAtildecedilAEligwsup1currenAacutefrac34`AumlOgraveosup1Agrave5AtildeEumliacuteatildeAumldOuml~Icircsup1Yacutefrac14NtildeagraveraquoLAacutesup1OumlPAuml|frac12sup1AElig5iquestPeacutecedil4frac14raquo~Agrave5AtildedIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquest|UumlIumliquestUaacuteIacuteIumlEZEgravefrac14cedilfrac12frac14dAring~Ecirciquest[NtildeIumlLagraveAringEacutePAtildecedilwAacuteiquest|frac14draquoiEcirc dIumlnTHORN$frac14ZcedilAgrave5Auml|AringcedilwAacute4] divideugrave|ugraveUuacute iqueste`currenatildeOuml~frac14dAgrave5AtildeEgraveAacutesup1Igrave(AtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14EumlAacutesup1AumldraquoUacuteAring~AEligwsup1raquoordmfrac12Atilde5AcircnAtilde5frac12AEligwAtildeAacutefrac14dAgraveAacutesup1AcircnAtilde$AgraveAuml|raquoLAacuteAuml|AringcedilAEligfrac14Ouml~Ouml~frac12sup1AtildeEcirciexclAacuteAumlFIgraveNtildefrac34LAumlLAgravefrac14Zcedil4Ecircsup1frac14dfrac12ordmnfrac14ZAacuteAtildeEcircOtildeatildeIf-UumlkhEgraveETHaIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu not t v rJw iquest)x qJ+y xJ ^ Iuml

THORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquest13iexclNtildeIumlfrac14draquo~EcircdIumlWaacuteAuml|raquoLAacute4frac14ordm|raquoifrac14ZAacute4] divideugrave|ugraveUuacute iquest` ETHBAumldOumlPAuml|frac12Auml|ordmfrac34Oslashfrac14raquoiEcircIacuteAEligwIcirc~frac14dOumlPAtildeAgraveAuml|raquo~AEligqAacutewcedil4frac14sup1raquoUAacuteAEligyAumldraquotimesOumlifrac14Zcedil4frac14EumlIgrave(AtildeAacutewcedilsup1AgraveOslashfrac14dAgraveAacutesup1AcircnAtildearingAgrave5AumldraquoLAacuteAuml|AringcedilAElig_aIuml odshy~rv pumltutcodldP x4shy(l not vPLv p4rsldPtu notcent) v divideJw iquestuacute_qnugrave4yiuacute4rUuacute Iuml[Auml|Igrave(Atilde5AElig5iquestpounddIumlfrac14draquo~EcircaringmiddotNtildeIumleacuteifrac14Aring~ordm|Atilde cedil4frac14dAElig_] divideugrave|ugrave|ugrave iquestcurren` szlig9Atilde5Agrave5Aumldraquo~Agrave5sup1frac12sup1raquo~ordmIacuteEcircsup1AEligqAacute4frac14draquoAgrave5AtildeOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligfrac14draquo~Ecircaeligfrac12Atilde5AcircnAtilde5frac12EgraveAEligwAtilde AacuteAElig_aIumlpoundUodUp il|WoqUacuteumltul|-odshyNtildeshyFU~tR4lrRtcodTldix4shyl not vampgvipv v rsldrRtcod ) iquest dividedugravez^+ydivideddividez Iuml[cedil4frac145frac34LiquestszligyIumliquestdIumlyen-Auml|Aringraquo~ordmiquestampfrac14raquoiEcircagrave0Iumlampagravesup1currenfrac34LAtildecedil4] dividedugravedugraveuacute iquest `aacutesup1raquosup1IgraveNtildeAring~Igrave Ecircsup1AEligwAgrave cedilsup1Igrave(sup1raquo~frac14Aacutesup1Auml|raquosup1raquoOgraveregAumldcedilIgravefrac14Aacutesup1AumldraquoAgrave5frac12Aring~AEligqAacuteAtildecedilsup1raquo~ordmI]Igrave(AumlUEcircAtilde5frac12sup1raquo~ordmTfrac14raquoiEcircOslashecircLAringifrac14raquoUAacutesup1Ocircfrac14ZAacutesup1Auml|raquoOslashCcedilgsup1currenAacuteIcirc ordm|frac14dAringAEligwAEligIgrave(sup1currenicircAacuteAringcedilAtilde5AElig_aIumlTigraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquest=atildePIumliquest=aacuteIacuteIumlkZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestEgravefrac14raquoiEcirc[NtildeIuml=agrave9Aring~EacutePAtildecedilwAacute4] dividedugrave|ugraveUuacute frac14Uiquest` agrave EumliacuteatildeUAacuteAtilde5Ouml frac14dfrac12ordm|Aumlcedilsup1currenAacuteIcirc~IgraveAring~AEligwsup1raquoordmcedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtilde=Agrave5Auml|raquoLAacuteAuml|AringcedilAEligeOgraveuAumldcedilAcircUsup1EcircAtilde5AumlAuml|EacuteUbrvbarqAtilde5Agrave AacuteAElig=EcircAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoSaIuml~igraveraquo13]psect xw j x4 sect odpDumlqo odUacutex4shy(l not v9Pl| ~tu5op j rRtushyvwdtclNtildex4rv pwlnrRtKndvy]v pntc4v IumliETHWfrac14dIgrave(OumlPAtilde cedilAtilde|iquestieacuteWsup1raquofrac12Yacutefrac14raquoiEcirc]Iumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquestUatilde]IumliquestUaacuteIacuteIumlUZ=frac14cedilfrac12frac14dAring~EcirciquestUfrac14raquoiEcirccopy[NtildeIumlUagrave9Aring~EacutePAtildecedilwAacute4] dividedugravedugraveuacute EacuteiquestA` szlig9Atilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14AgraveAacutesup1AcircnAtildegAgrave5Auml|raquoLAacuteAumldAringcedilAEligOgraveuAumldcedilAcircUsup1YacuteEcircAtilde5AumlaringAuml|EacuteUbrvbarqAtilde5Agrave AacuteOtildeAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo Ccedilgsup1currenAacuteIcircaAgrave5frac14dIgrave(Atildecedil4frac14OslashAgrave5AumldIgrave(OumlPAtilde5raquo~AEligfrac14ZAacutesup1Aumldraquo13aIumligraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquesteatilde]IumliquestWaacuteIacuteIumlZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestefrac14draquo~Ecirc[NtildeIumlBagraveAring~EacutePAtilde cedilwAacute4] divideugrave|ugraveuacute Agrave|iquestk` g sup1EcircAtilde5AumlUacuteAuml|EacuteUbrvbarqAtildeAgraveAacuteFAEligwAtildeordm|Igrave(Atilde5raquoLAacute4frac14Aacutesup1AumldraquoAring~AEligwsup1raquo~ordmIacuteAtilde5Aring~frac12Atildecedilsup1frac14draquo cedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAElig_aIuml igraveiacuteraquoS] x4rv p ildrRtcodil|yodv pwv P4vIacuteoodshyiUrv paumlumltutcod Iuml g frac14draquoAgrave5Auml|AringAcircnAtildecediliquestehEgravefrac14draquo~frac14|Ecirc~frac14UIumlbyfrac14dAEligwAElig5iquesteaacuteIacuteIumliquestWagrave0Iuml Ucirc sup1currenAacuteUgravesup1raquoiquestWfrac14raquoiEcirctimesTHORNFIumlWETHBAtildecedilOcirc5AumldOumlPAuml|Aringfrac12AumldAElig_] uacute4^ JUiquestk`currenatilderaquoifrac14UgravenAtilde5AElig_]WagraveAgraveAacutesup1AcircnAtilde(Agrave5AumldraquoLAacuteAuml|Aringcedil0Igrave(AumlUEcircAtilde5frac12AElig_aIumlx4~rv p4PldrRtcoPl|WpoundUop4PldWoqodshyiUrv pTumltutcod iquest ndivideUuacuteyUzndivide Iuml

aacuteUacutefrac14dfrac12frac12frac14|Ecircsup1ciquest~szlig0IumliquestedIuml]atildeUAtildeAacuteIcirc~sup1frac14raquoiquest~frac14draquoiEcircZIuml g Atilde5IgraveNtildeAringcedilsup1G] uacute4^z^ UiquestS`atildeUIcircifrac14OumlPAtilde$Igrave(AumlUEcircAtilde5frac12sup1raquo~ordm0Ccedilgsup1AacuteIcirciexclOgraveregcedilAuml|raquoLAacuteOumlcedilAumldOumlifrac14dordm|frac14EumlAacutesup1Aumldraquo13]nfrac14ampfrac12AtildeAcircnAtilde5frac12AEligwAtildeAacuteEgravefrac14Ouml~OumlcedilAumlnfrac14dAgrave4Icirc13aIuml xQ|||~pwld lnrRtcodampodsectgldrRrv p 9Pl| ~tu9ldP j ln4Utreg]vx4~rvu t not v i4v Iordf iquest uacute z yiuacute+r UIuml

aacuteUacutefrac14draquoAEligwAuml|Aringcedilsup1Riquestagrave0Iumlfrac14draquo~EcircdIumlb$Auml|raquocedil4frac14|EcircS] uacute_^J^J^ iquestlaquo`currenaacuteAumldAacutesup1AumldraquoAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo`Ccedilgsup1currenAacuteIcirceumlfrac12Atilde5AcircnAtildefrac120AEligwAtilde AacuteAElig_aIuml igraveraquo13]x4~rv p4PldrRtcoPl|=ov pwv P4vNtildeodUacutex4shyl not vsectEgravepwo4v tu not Iumlcb$AumldEacutePAtilde|iquestednfrac14dOuml~frac14draquoIuml

aacuteAuml|raquoLAacute4frac14dordmdraquoifrac14ZAacuteiquestdIumliquestziexcl0IumlTHORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquestdfrac14draquo~EcircoNtildeIumlZagravegfrac34Ufrac14dAgrave4Icirc~AtildeJ] dividedugrave|ugraveUuacute iquest` agraveOslashcedilAtildeAcircsup1AtildeCcedilaeligAumldOgravePEcircAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeAEligwAringcedilwOgraveufrac14dAgrave5AtildeAElig_]AacuteAuml|OumlPAuml|frac12Aumldordmdfrac34Liquestgordm|AtildeAuml|Igrave(AtildeAacutewcedilwfrac34frac14draquoiEcirc EcircAtildeOgraveuAumlcedilIgravefrac14Aacutesup1Auml|raquoSaIuml x4shyl not vtimesldiOacuteumltutcododshy~rRtreg not0Inot v uacute_qw iquestuacuteugravendivide+y~uacuteugravezq|ugrave Iuml

aacuteAring~IgraveOgraveregAumldcedil4Ecirciquest=THORNFIumlgfrac14raquoiEcircdIumlatildeIcirc~frac14dIcircS] uacute4^ ^ iquest`currenmiddotOumlAacutesup1Igravefrac14frac12$frac14dOumlOumlcedilAumlicircsup1Igravefrac14Aacutesup1Auml|raquoAEligEacuteLfrac34Oumlsup1AtildeAgrave5AtildeCcedilgsup1AEligwAtildetimesAEligwIgrave(AumlLAumlAacuteIcircOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligFfrac14raquoiEcircOslashfrac14dAEligwAEligwAumlLAgravesup1Yacutefrac14ZAacuteAtildeEcircaringAcirc|frac14Zcedilsup1Yacutefrac14ZAacutesup1Auml|raquoifrac14frac12EgraveOumlcedilAumldEacute~frac12Atilde5Igrave(AElig_aIuml odshyNtildeshyFU~tR4lrRtcod~oaeligsectEgraveUpvUacuteldiEgraveni tsvw j ldrreg~v shy(lrRtccurrenshyt iquest rzr4y xJ q Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfa

yenKbrvbarsect =4 acirc $ zmiddotAEligwIcirc~AtildecediliquestdatildePIumlfrac14draquo~EcircdIumlnatildeAtilde AacuteIcirc~sup1frac14draquoS] uacute4^ ziquest` eacutecedilAuml|raquoLAacuteAEligeOumlcedilAumldOumlifrac14ordmnfrac14Aacutesup1raquoordmCcedilgsup1currenAacuteIcircFAgrave5AringcedilAcirc|frac14ZAacuteAringcedilAtildeEumlEcircAtilde5OumlPAtilde5raquoiEcircAtilde5raquoLAacuteBAEligwOumlPAtildeAtildeEcircS]

agravefrac12ordm|Aumlcedilsup1AacuteIcircIgrave(AEligEacute~frac14dAEligwAtildeEcircaumlAuml|raquoiexclampfrac14Igrave(sup1frac12AacuteAumldraquoEumldnfrac14Agrave5Auml|Eacutesup1eacute~AumldcedilIgraveNtildeAring~frac12frac14Aacutesup1Auml|raquoSaIuml poundUodUp4Pl|oqiexcloshyiUrsldrRtcoPl|sect=U~tc ordfenot iquest uacutedivide4yEqE^ Iumlfefrac14cedil4frac14ordm|sup1Auml|AElig5iquestoNtildeIumlfrac14draquo~EcircIacuteszligyIuml]THORNampAtildecedilsup1Agrave4Icirc~AtildeJ] uacute4^z^J^ iquest`s[Atilde5AumlUEcircAtildeAEligwsup1Agravefrac14AgraveAacutesup1AcircnAtildeFcedilAtilde5ordmdsup1Auml|raquo~AElig$OgraveregAumldcedil0Igrave(AumldAacutesup1Auml|raquoTAtilde5AEligqAacutesup1Igravefrac14Aacutesup1Aumldraquofrac14draquoiEcircAacutewcedil4frac14dAgrave4UgraveUsup1raquoordmAaIumligraveiacuteraquoS] x4rv p ildrRtcodil|-ov pwv P4vFodOslashodshyiUrv paumlumltutco Iumleh=AumldcedilwOgraveregAringgt[cedilAtilde5Atilde5Agrave5Atilde|Iumlfefrac14AacuteAtilde5Aringicirc]iquestatilde]Iuml] dividedugravedugrave|ugrave iquestpound`currenatildeOuml~frac14Aacutesup1frac14dfrac12AEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoTAumldOgrave=Agrave5Auml|frac12Aumlcedilysup1Igravefrac14ordm|Atilde5AEligampfrac14dAgrave5Agrave5Aumlcedil4Ecircsup1raquo~ordmAacuteAumlUacuteaacuteTHORNaringOgraveregAumldcedilIgravefrac14dfrac12currenEumlsup1AEligwIgraveaIumlyigraveraquo13] x4~rv p4PlrRtcodPld=od5v pv i vodododpFtu pwl4UtcldPx4shyl not vysectpqo v tu not Iumlatildefrac14dsup1raquoLAacute UumleAacutesup1Atilderaquo~raquo~Atildediquestieacutecedil4frac14raquo~Agrave5AtildedIumlfcedilAtildeAgrave5sup1Auml|AEligwAumliquesteacute=IumlEgravefrac14raquoiEcirc aacuteIacuteIumlcurrenZEgravefrac14cedilfrac12frac14dAring~EcircS] dividedugrave|ugraveUuacute iquest` Z-EumliacuteatildeUOuml~frac12sup1raquo~Atildeaumlfrac14dAgrave Aacutesup1Acirc|AtildeOtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAEligOgraveregAumldcedilOgraveRfrac14AEligqAacuteAcircUsup1EcircAtilde5AumltimesAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIumlOacuteigraveraquo13] x4rv p ildrRtcodil|od5v pv P4vaeligod x4shy(l not vUacutesectpqo4v 4tu not IumlETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1Riquest[cedilAtilde5Atilde5Agrave5Atilde|Iuml

szligAumldraquoOgraveufrac14cedil4EcirciquestszligyIuml] uacute_^J^q iquest` szlig9Atilde5ordmdsup1AumldraquoEumlsEacuteifrac14AEligwAtildeEcircFAEligqAacutewcedil4frac14ZAacuteAtilde5ordm|sup1Atilde5AEligeOgraveuAumlcedil-frac14dAgraveAacutesup1AcircnAtildeEgraveAgraveAuml|raquoLAacuteAuml|AringcedilIgrave(AumlUEcircAtilde5frac12AElig_aIuml x4~rv p4PldrRtcoPl|poundUodUp il|WoqodshyiUrv paumlumltutco I v dividezw iquest divideddividez^+yUdivide uacute Iuml

atildefrac14Igrave(AEligwAuml|raquoiquestzhIumliquestzIumlzZ=frac12frac14raquo~AgraveEumleacuteAtildecedil4frac14AringiEcirciquestJ[NtildeIumldagraveAringEacutePAtildecedilwAacuteiquestfrac14draquo~Ecirc dIumlJregPAtildecedilAring~Eacutesup1frac14I] dividedugravedugrave|ugrave iquest` agrave frac12Atilde5Acirc|Atilde5frac12UAEligwAtildeAacuteIgrave(AumlUEcircAtilde5frac12nOgraveregAumldcedilsup1Igravefrac14ordm|AtildeAgrave5frac12frac14dAEligwAEligwsup1siAgravefrac14ZAacutesup1Auml|raquo13aIuml x4~rv p4PlrRtcodPldpoundUodUp4Pl|BoqNtildeodshyiUrv pOtildeumltreg4tRod shy v Ew iquest uacute r4y~uacute4^Er Iuml

atildefrac14raquo~ordmdCcedilgsup1raquoAtilde|iquest9atilde]IumlEgravefrac14draquo~Ecircszlig0IumlampiexclAumldcedilraquoAtilde v Atilde5EcircAElig5Iuml w ] uacute_^J^ Uiquest ~vIacuteo|odUpaumltushyl not vipqo4v 4tu not ldP|m4oo4uml Iumlh=Icircifrac14dOumlIgravefrac14draquodegmacriexclampfrac14dfrac12frac12RIumlatildeAtildeAacuteIcircsup1frac14draquoiquestdIumlplusmn] uacute4^z^|ugrave iquestU` oAringIgrave(Atildecedilsup1Agravefrac14dfrac12Ufrac14frac12ordm|Aumldcedilsup1currenAacuteIcircIgrave(AEligWOgraveuAumldcedilOumlcedilAuml|Oumlifrac14ordmnfrac14ZAacutesup1raquoordmsup1raquoLAacuteAtildecedilwOgraveRfrac14Agrave5Atilde5AElig_]Jiexclampfrac14dIgrave(sup1frac12currenAacuteAuml|raquoEumldnfrac14dAgrave5AumldEacute~sup1

AtildeecircLAringifrac14Aacutesup1Aumldraquo~AElig-frac14draquoiEcircAgraveAuml|raquo~AEligwAtilde cedilAcirc|frac14ZAacutesup1Aumldraquo(frac12frac14CcedilgAElig_aIuml poundUodUp4Pl|]oqEgraveyen$t lv pv rRtcl| voshyv rRp~ iquest uacute4Uuacutey~uacute x uacute IumlatildeAtildeAacuteIcircsup1frac14draquoiquestAdIuml] uacute4^J^ xiquest kWvndvB]v r j v rregod IumlcurrenhEgravefrac14dIgraveNtildeEacutecedilsup1EcircordmdAtilderaquosup1AcircPIumlAfecedilAtilde5AEligwAElig5Iumlatildesup1Ecirc~Ecircsup1ecircUsup1Riquest4bIumliquest_yenNtildeIumlBfrac14Aring~Ocirc5sup1Gsup2AtildecedilAtilde|iquestagraveyIumlETHWfrac14draquoraquo~Atilde5raquoUEacute~frac14dAring~IgraveUacuteiquest5frac14draquo~EcircNtildeatildePIumlregPAring~Agrave4UgravenAtildecedil4] uacute_^J^ xUiquestE`currenagravegcedilAtildefrac149frac14draquoiEcirc$frac12Atilde5raquoordmdAacuteIcircyIgrave(sup1raquoEuml

sup1Igrave(sup1Ocirc5sup1raquoordm sup3iAumlCcedilgAEliggOgraveuAumldcedilAEligwIcircifrac14OumlPAtildeyAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo13aIuml xQ|||~pwl~ lnrRtcodoOtildex4shyl not vsectEgravepwo4v tu notordf v Ew iquest qEz+yqzqE Iumlyen=AtildeOcirc5Ocirc5sup1RiquestagraveyIumliquest5agrave0Iuml5ETHEgraveAEligfrac14dsup1Riquestfrac14draquo~Ecirc$agrave0Iuml Ucirc sup1frac12frac12AEligwUgraveLfrac34] uacute4^z^J^ iquestJ` agraveaeligAEligqAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12Ufrac14dOumlOumlcedilAumlnfrac14Agrave IcircampAacuteAumlgAEligwraquo~frac14dUgravenAtilde5AElig]OgraveuAumlcedilWEacutesup1Igrave(AumlUEcircfrac14dfrac12frac14draquoiEcircAacutewcedilsup1Igrave(AumlUEcirc~frac14frac12isup1Igravefrac14dordmdAtildecedilwfrac34aIumligraveraquo13] x4rv p ildrRtcodil|eodv pwv P4vyodx4shyl not vgsectpqo v tu not IumlAb$AumldEacutePAtildednfrac14dOuml~frac14draquoIumlreg]IcircUAringiquest]atilde]Iumlfrac14raquoiEcircaumlagrave0Iumleyen=Aringsup1frac12frac12AtildeJ] uacute_^J^ xUiquestpound` szlig9Atilde5ordmdsup1AumldraquotimesAgrave5AumldIgrave(OumlPAtildeAacutesup1currenAacutesup1Auml|raquo13]iAring~raquo~sup1currenOgraveYacutefrac34sup1raquoordmiexclAEligwraquo~frac14dUgravenAtilde5AElig5iquestPcedilAtildeordm|sup1Auml|raquoTordmdcedilAumlCcedilgsup1raquo~ordmiquestfrac14draquoiEcircZEgravefrac145frac34LAtilde5AEligacute|aacuteTHORNOgraveregAumldcedilIgraveFAring~frac12currenAacutesup1Eacuteifrac14raquoiEcirc sup1Igravefrac14ordm|AtildeTAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo13aIuml xQ|||micro~pwld lnrRtcodtimesosect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4v Icent iquesteJ q+yU^dugrave|ugrave Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfo

i $amp)(+-)013021+345627893lt=gt9A6CBfrac12OcircacuteIshyNT

frac12OcircacuteIltNTpara frac12frac34EMeJaumlQcYZYZjJUacuteQsY H [ ^QEgraveJLhZJUO H QcN H J H MeJordfXiacute[]fcfR[WQcO[Oslash^e[]ZaringNPQsOXiacutejOb H QR[]ONPfdaringocirc|adOuml times jOcircaacute uuml times a2atildeltszligaumlgtszliglOuml times j atilde auml

G QsObnJ H MJeumlYZJ H [SXIacuteNPfcfUacute^e[]ZaringNPQsOYMNPY Oe[ H N Y H hjb H jhZJ`[SXUPJUb H [PhQcNPfOtildeYZKNPbnJSefRJ H jYZ N`PJ H MeJeumlhZJ[]QR[]OYJUP[]fVUPJ H MehZ[]j[]M NrXqNSZaringQcfVm [SX H hNPOYYX[PhlZ N H QR[]OYa(|aagraveszlig jj emiddot iacuteaumlYlZOslash[[ H MaNPO^ centQ ~JUb H QVUPJS^ not [PhNOslashKEgrave[]QcO H $ aacute atildeshyszligaumlN eFWFJTOe[ H JSaring$ aagravej|aacutemiddot|aagraveszlig $ j WiexclQ H M |a s szlig $ jaacute $OumlcopytimesaagravejOcircaacutemiddot|aagraveszliglOumlutimesdj WiexclQ H M |a s szliglOumlcopytimesAjOcircaacuteAumlOumlutimes9J H jY H MeJUO^JOeJ H MeJordfUPJUfR[WbLQ H moUPJUb H [PhdY JUfs^kfrac12 YZjbM H MN H aringfrac12sup1aagraveszlig $ aagravejj|aacute aelig |aelig agrave aagraveszlig $ j YlaquoXiacuteNiharingNPY H MeJ bn[]ZOslashKj H N H QR[]O[SX H MeJ ^eJLhQU~N H QVUPJ QcYOslashbn[]ObnJLhOeJU^OeWFJNihZJQcOWVH JLhZJUY H JU^ QcO YYZaringNPfcfOtilde^JX[PhlZ N H QR[]OY^ J H MBjYJkWKNPO^ H MeJ H hNPOYX[PhZaringN H QR[]ONPbLbn[Ph^QcO[ H [hdY H [Ph^eJLh NmWfR[PhyacuteXiacute[PhlZtimesjfcNaring|aagraveszlig $ jpoundaacuteAElig|a s szlig $ j agrave aelig |aelig agrave a s szlig $ jaacute $ ragrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacute frac14 frac14 a s szlig $ j^ J H MeJUOQcO H hZ[W^jbnJ H MehZJLJgZ NPQcO^eJOQ H QR[]OYaringf^QMeJg0jfRJLhQcNPO^eJLhQU~N H QVUPJOtilde[SXocirc|adOuml times jordfaqQcO H MeJIacute^QRhZJUb H QR[]O[SXcedilfrac12jaring ocirc|adOumlcopytimesszlig_frac12jOcircaacutefcQZUcedil iacute ocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave admacrfj ^QMeJgZaringN H JLhQsNPfg^eJLhQVUiN H QVUPJOtilde[SXuumlStimesYa $ szliglOumlcopytimes)jaringsup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j|aacutefcQZUcedil iacute uumlStimesa $ ragrave3frac12ba $ jszliglOumlutimes agrave3frac12sup1a $ jj uuml]timesa $ szliglOumlcopytimesdjagrave admacr j^QMeJaumlYZMNiKEgraveJOtilde^eJLhQU~N H QVUPJOtilde[SXOcircuuml]timesa $ szliglOumlutimes)jaring

uumlnotraquotimes a $ szliglOumlcopytimesUcircszlig_frac12 jaacutefcQZUcedil iacute uumlStimesYa $ szliglOumlutimesragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave admacrS]j

uumlnyacutenthornnyumll13YSordmY_Fordfy

yenKbrvbarsect =4 acirc $ hq centUWQR[]jYZfVmSe-centmaJkBKNPO^QcO[ admacr jUacuteNPbLbn[Ph^QcOF[ H [hdY H [Phd^eJLhordfNmBfR[PhordfXiacute[PhlZtimesjfcNeWFJaumlMNUPJSaring sup1uumlStimesYa $ szliglOumlcopytimesUcircszlig_frac12 jaacuteAumluumlnotraquotimes a $ szliglOumlcopytimesszlig_frac12jhuumlStimesa $ szliglOumlcopytimes)j frac12sup1a $ j admacrj J H MeJUOabn[]ZOslashK-j H JZOslash[PhJaumlKhZJUbLQcYZJUfVm H MJ0jfRJLhQcNPO ^eJLhdQVU~N H QUPJauml[SXcopyocirc|adOumlcopytimesdj^ JMNUPJSaringocircOcircadOumlutimesaagravejj ocircOcircadOumlutimes)jagrave aacute fagrave = thorn yuml uuml times a $ aagravejszliglOuml times aagravejj $ uuml times a $ szliglOuml times j $ FH admacrSmacr]j5O H MJohY H QcO H J[PhdNPfdeltWFJZaringN`PJ H MeJU~NihdQcNicentfRJ bMNPO[PJ $ aagravejaacute $ agrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacuteethicirc7a2atildeshyszligaumlFjszligicirc cent a2atildeltszligaumlj eWMQcbdM[]QVUPJUYaring thorn yuml uuml]timesYa $ aagravejszliglOumlcopytimesYaagravejj $ aacute admacrS]j

5 uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlutimes agrave3frac12sup1a $ jjlt^eJ H ocirc a $ jlt $WMJLhZJocirc a $ jQcY H MeJgXiacute[]fcfR[WQcO[aringSNPbn[PcentQcNPOtZaringN H hdQkKaring

ocirc a $ jaacute oacute fcedilxagrave frac14 iacute oslashfrac14Uordm agrave frac14 iacute oslashfrac14 ugraveagrave frac14 iacute acircfrac14ordm fcedil agrave frac14 iacute acircfrac14 ugrave ocircNPO^ YZ[eFWNtildeJIacuteMNUPJSaring

^eJ H ocirc a $ jOcircaacute fUragravee^QVUKafrac34frac12sup1a $ jjragrave cent ^eJ H amacr frac12sup1a $ jjMJUOWNtildeJauml[Pcent H NPQcOOaring

fsQZcedil iacute ^eJ H ocirc a $ j fagrave aacute ^QVUKafrac34frac12sup1a $ jj admacr]zSjMJJBjN H QR[]OxadmacrSmacr]j H MeJUOcent=JUbn[]ZaringJUYaringocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave aacute fagrave middot uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jjlt 13raquo ocirc a $ jlt $ uumlStimesa $ szliglOumlcopytimesAj $ admacrSi]j JTbLNPO`YZjeKKEgrave[]YJ H MN H ^eJ H aocirc a $ jjfrac14aacute sfrac12 agrave frac12 $ ^ JZaringNm H MeJUO H N`PJ^eJ H aocirc a $ jjfrac34 s eNPO^ WNtildeJ ^eJUPJUfR[PK H MeJaJkWKhZJUYYZQR[]OadmacrSi]j NPYoX[]fsfR[WQsO[centmNP^^QcO[aringN H JLhZ QcO H MeJIacuteYZJUbn[]O^aQcO H J[PhNPfltWMQcfcJaumlYZjeKKhJUYZYZQcO[ H MeJtimesYZNSZOslashJ H JLhlZQcO H MJordfhY H QcO H J[PhNPfdaring ocirc|adOumlcopytimesYaagravejj ocirc|adOumlcopytimes)jagrave aacuteegraveOtildef1rOtilde cent admacrSh]j

uumlnyacutenthornnyumll13YSordmY_Fordf

s $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJSaring

Otilde aacute uuml]timesa $ ragrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave ^eJ H aocirc a $ jj $ ad s jOtilde cent aacute uuml]timesa $ szliglOumlcopytimesdj ^eJ H aocirc a $ jj fagrave $ adfj

9J H jY_ZaringN`PJordmagrave H JUO^ H [WNih^Y s ^curreniquestYZQcO[frac34admacrjiexclNPO^JOQ H Qc[]OYadmacr e macrS]jeWFJ[PJ H aringfcQZUcedil iacute Otilde aacute sup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j $

aacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ uuml times a $ szliglOuml times j frac12sup1a $ j $fcQZUcedil iacute Otilde cent aacute uuml]timesa $ szliglOumlcopytimesdj^QVUKafrac34frac12 j $

O^ Y[Xiacute[Ph H MeJgNtildejfRJLhQsNPO ^eJLhQVUiN H QVUPJSeWFJgO^Oaring ocirc|adOuml times szlig_frac12jumlaacuteyacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ amacrreguumlStimesYa $ szliglOumlcopytimes)j frac12sup1a $ j7 uuml]timesYa $ szliglOumlcopytimes)j^QVUKafrac34frac12sup1a $ jjj $aacute uumlnotraquotimes a $ szliglOuml times szlig_frac12j $ ^QVUKaduuml times frac12j $ ad j

MeJUO NiKKfVmWQcO[ H MJ hJLJUOWVAQRJZ NPOO H MeJL[PhZJZQcO ad jeWNtildeJ5ONPfcfmtimes[Pcent H NPQcOOaring ocirc|adOumlcopytimesszlig_frac12jOcircaacute uuml raquotimes a $ szliglOumlcopytimesUcircszlig_frac12j $ uacutefrac14 5 uuml]timesYafrac34frac12 eacuteAgraveiquestsup1AacuteAtildeAcircj THORN adS]jWMJLhZJ5eacuteAgraveiquestsup1AacuteAtildeAcircyQcY H MeJUacutejOQ H QcOOgraveWNih^ Oe[PhlZaringNPf H [ aelig OumlcopytimesUcirc^MeJ_NtildejfRJLhQcNPO ^eJLhQVUiN H QVUPJQcY(O[ H JU^ ocirc raquo aagravej(QcO H MeJaumlKNiKEgraveJLhNPO^ H MeJaumlYZMNiKEgraveJauml^eJLhQU~N H QVUPJyuuml raquotimes QcY(Oe[ H JU^ frac14 frac14 ^iquest acutemicrosup1cedilFLft not [PhyYQZOslashKfcQsbLQ H mSeWNtildeJ(bM[[]YJ H MeJcopyXiacute[]fcfR[WQcO[_U~NihQsN H QR[]OaeligQcO H MeJKhZ[B[SXaring$ aagravejaacute $ agrave3frac12sup1a $ j^MJiexclKh[[SXZaringNm NPfcYZ[IacutecentEgraveJiexcl^JUPJUfR[PKEgraveJU^WiexclQ H MZaring[PhZJ_[PJUOJLhNPfUiNihQcN H QR[]OYFYjbM NPYaring $ aagravejaacuteAacuteAgravea $ szligYagravejWQ H MAcircAgrave`NOslashYYZOslash[B[ H MXiacutejOb H QR[]ONPO^AcircAgravea szligYagravejcentQ ~5JUb H QVUPJS^

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ ffrac12OcircacuteIshyNT AcircE J(MNUPJ H [Otildebn[]ZOslashK-j H J H MJNtilde^QEgraveJLhZJUO HH JLhZaringY9[SXQa macr]j9QsOauml[Ph^eJLh H [Uacute[Pcent H NPQcO H MeJ

JUP[]fcj H QR[]OJBjN H QR[]O[SX H MeJ NPb H QUPJ bn[]O H []jehX[Ph H MeJ ^JUYZbnhQRK H [PhdYaumlcentNPYJU^Oacute[]OH MeJ(bn[U~NihQsNPObnJ ZaringN H hQVktimes^eJ H JLhlZ QcONPO H a2Ograveh]j^OgraveMeJ(bn[]ZOslashKj H N H QR[]OaringQcYampKEgraveJLhYXiacute[PhlZOslashJU^Xiacute[Ph H MeJIacute^eJUYZbnhQRK H [Ph_uuml thorn timesOslash yuml ^ q centUWQR[]jYZfmSeN YZQZ QcfcNihbn[]ZOslashKj H N H QR[]OabLNPOacent=JIacute^e[]OeJXiacute[PhOcircuuml thorn UgraveUcircUacuteUuml yuml ^ JiexclbLNPOaeligJkBKhJUYZYOcircuuml thorn timesOslash yuml NPYyNUacutebn[]ZTcent-QcON H QR[]Oaelig[SXgtXiacutejOb H QR[]OYamp^eJLKEgraveJUO^QcOF[[]O H MJOtildehZJ[]QR[]OwOuml timesOslash aring

uumlgtthorn times Oslash yuml a2atildeltszligaumlgtszligYagravejaacute`Ograveoacute m thorn timesOslash yumlaIgraveagrave thorn timesOslash yumlAtilde j cent ocirc adjWMJLhZJordmaacuteAuml85eWiexclQ H MAring8 H MeJordfXqjOb H Qc[]O QcO H h[B^jbnJU^ QcOpounda2Ograveh]je-NPO^aringm thorn timesOslash yuml aacute agrave thorn timesOslash yuml agrave thorn timesOslash yumlcent agrave thorn timesOslash yuml agrave thorn timesOslash yumlAElig agrave thorn times Oslash yumlCcedil agrave thorn timesOslash yumlEgrave agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlEgrave j cent agrave thorn times Oslash yumlcent aIgraveagrave thorn timesOslash yumlCcedil j cent agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlAElig j centWQ H MOaring EFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFH

agrave thorn timesOslash yuml aacute w$ thorn yuml aOtilde S times Oslash j cent atilde aumlagrave thorn timesOslash yumlcent aacute w$ thorn yuml aOtildeOgravecent Scenttimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yuml aacute w$ thorn yuml aOtildeS Stimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yumlAElig aacute w$ thorn yuml aOtilde S times Oslash jaOtildeOgravecent ScenttimesOslash j atilde aumlagrave thorn timesOslash yumlCcedil aacute w$ thorn yuml aOtilde S times Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlEgrave aacute w$ thorn yuml aOtilde cent S centtimes Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlAtilde aacute w$ thorn yuml atilde auml O^ Y[ H MJordfXiacutejOb H QR[]OY aelig thorn timesOslash yumlauml MNUPJ H MeJgXiacute[]fcfR[WiexclQcO[aeligJkBKhZJUYZYZQR[]OYaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

aelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlcent aacute aOtilde cent S centtimesOslash j centaelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlAElig aacute aOtilde S timesOslash jaOtilde cent S centtimesOslash jaelig thorn times Oslash yumlCcedil aacute aOtilde S timesOslash jaOtilde S timesOslash jaelig thorn times Oslash yumlEgrave aacute aOtildeOgravecent ScenttimesOslash jaOtilde13 StimesOslash jaelig thorn times Oslash yumlAtilde aacutemiddotf

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBnot h[]Z H MeJUYJaumlJkWKhZJUYYZQR[]OYeWFJOtildeJUNPYZQcfm ^eJU^jbnJ H MN H aring

$ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde aumlregaacute sEacutefrac12poundEcirc iuml

J H MeJUO MNUPJ H [Tbn[]ZaringKj H J H MeJ H JLhlZaringY eacute thorn times Oslash yumlauml XiacutehZ[]Z H MeJJkWKhZJUYZYQR[]OYamp[SXagrave thorn timesOslash yumlauml eWMQcbM fRJUNP^Y H [aringEFFFFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFFFFH

eacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideoslash aacute w$ thorn yuml uacute ouml $ordfdivideacirc uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIgrave yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H a timesOslash jjeacute thorn timesOslash yumlcent aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideacirc

aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIcirc yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideEuml aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideacirc thorn thorn uacute ouml $_divideIuml yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yumlAElig aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIuml aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideEuml uacute ouml $ordfdivideIuml thorn uacute ouml $_divideIcirc uacute ouml $ordfdivideIgrave yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlCcedil aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIcirc aacute w$ thorn yuml cent thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideacirc uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlEgrave aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIgrave aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideoslash uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlAtilde aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIacute aacute w$ thorn yuml thorn +ETH ouml $_dividethorn uacute ouml $ordfdivideIacute yuml Iuml 8 raquo aq^J H a timesOslash jj

O^centmJkWKhZJUYZYZQsO[ H MeJbn[UiNihQcNPObnJZaringN H hQVkpoundWQ H M H MJregXqjOb H QR[]OYagrave thorn timesOslash yumlauml NPYXiacute[]fcfR[WQcO[aring

timesOslashlaquoaacute 1NtildeNtildeNtildeNtildeNtildeNtilde3uacute ouml $ordfdivideoslashuacute ouml $ordfdivideIacute uacute ouml $_divideIumluacute ouml $_divideIacute uacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIumluacute ouml $ordfdivideIacute uacute ouml $_divideacircuacute ouml $_divideIacute uacute ouml $ordfdivideIgraveuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacute uacute ouml $_divideIgraveuacute ouml $_divideIacute uacute ouml $ordfdivideEumluacute ouml $ordfdivideIacute

6OgraveOgraveOgraveOgraveOgraveOgrave7 J H MJUO^eJU^jbnJSaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

eacute thorn times Oslash yuml aacute a fj thorn yuml ^eJ H aDC Ptimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlcent aacute a fj thorn centcent yuml ^eJ H aDC centcenttimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yuml aacute a fj thorn curren yuml ^eJ H aDC 4times Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlAElig aacute a fj thorn cent yuml ^eJ H aDC centtimes Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlCcedil aacute a fj thorn curren yuml ^eJ H aDC times Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlEgrave aacute a fj thorn centcurren yuml ^eJ H aDCcent4times Oslash j48 raquo aq^eJ H a timesOslash jjeacute thorn times Oslash yumlAtilde aacute amp^eJ H a timesOslash j48 raquo aq^eJ H a timesOslash jj

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ SWMJLhZJC EBtimesOslash QcY H MeJgZaringN H hdQk ^eJU^jbnJU^Xh[]ZOacutetimesOslasharingcentm YZjeKKhZJUYZYZQcOF[ H MeJyuuml UumlON hZ[WNPO^ H MJ I UumlON bn[]fcjFZaringOO^]MeJbn[]ZOslashKj H N H Qc[]OordmX[Ph H MeJ^eJUYZbnhdQRK H [Ph|uuml thorn UgraveUcircUacuteUuml yuml QcYyYQZaringQcfcNihNPO^WFJ H MeJUOOslashMNUPJNPfcf H MeJ(JkWKhZJUYZYZQc[]OY H [aumlbn[]ZOslashKj H J H MeJJUP[]fcj H QR[]OaeligJjN H QR[]OXiacutehZ[]Z H MeJg[PJUOJLhNPfOXiacute[PhlZIacutejfcNta macr]j^gtMQcYcopy[]QVUPJUY H MeJTJUP[]fcj H QR[]O JBjN H QR[]Osup1admacr s j^

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBΩ out

Objects

Γ

inΩ

inΩ

Background Part

-t not Upv copy ETHEgraveIcircAtildeampAacuteiacuteCcedil=AumlFcedilAtilde5ordm|sup1Aumldraquo~AElig9AumldOgravefrac14raquoUacutesup1Igravefrac14dordm|Atilde

Ω

Ω out (τ)Ω

(τ)in

N

Γ(τ)

Ω

N

v

w

N

-t not Upv ETHEgraveIcircAtildeyEcircAumldIgravefrac14dsup1raquo~AEliggfrac14raquoiEcircAacuteIcircAtilde$AcircnAtilde5AgraveAacuteAumlcedilAEliggsup1raquoUAcircnAumldfrac12AcircnAtildeEcircsup1raquoiexclAacuteIcirc~Atilde$EcircAtildecedilsup1Acirc|frac14ZAacutesup1Aumldraquo

uumlnyacutenthornnyumll13YSordmY_F2ordf

yenKbrvbarsect =4 acirc $ Smacr

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 Atilde|IumligraveAacuteAtildecedil4frac14ZAacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvyzU eacuteWsup1ordm|AringcedilAtilde5AEligfrac14iquest Eacuteiquest AgraveJ]iUumlAcircnAumldfrac12AringAacutesup1Auml|raquoOtildeAumlOgraveeAacuteIcirc~Atildeyfrac14dAgrave Aacutesup1Acirc|Atilde0AgraveAuml|raquoLAacuteAuml|AringcedilIgravefrac14raquoifrac14ordm|AtildeEcircUacuteEacuteLfrac34AacuteIcirc~AtildefTHORN$Uuml v qzqwsup1raquo~Agrave5frac12AringiEcircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquoifrac14frac12ampAacuteAtildecedilIgrave(AElig5IumlgeacuteWsup1ordm|AringcedilAtilde5AEligOtildeEcirc]iquest Atildediquest Ograve] g sup1AEligwAringifrac14frac12sup1Ocirc5frac14Aacutesup1Auml|raquo`AumldOgrave0AacuteIcirc~AtildeTAgrave5AumldcedilwcedilAtilde5AEligwOumlPAumldraquoiEcircsup1raquoordmAcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 OgraveuAring~raquoAgraveAacutesup1Auml|raquosup1raquo~Agrave5frac12Aring~Ecircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquo~frac14dfrac12ampAacuteAtildecedilIgrave(AEligraquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirc EacutePAtildeAacuteiacuteCcedil=Atilde5Atilde5raquo ugrave frac14draquoiEcirc divide JUiquestAEligwAring~Agrave4IcircTAacuteIcirc~frac14Aacute$AacuteIcircAtilderaquo~Atilde5ordm|frac14Aacutesup1AcircnAtildeAcircdfrac14dfrac12AringAtilde5AElig0frac14cedilAtildefrac12AumlCcedilEgraveAtildecedilyAacuteIcirc~frac14draquo uacutedivide Uacutefrac14raquoiEcircaumlAacuteIcirc~AtildeOumlPAumldAEligwsup1Aacutesup1AcircnAtilde(Aumldraquo~Atilde5AEligyfrac14ZcedilAtilde(Icirc~sup1ordm|IcircAtildecedilAacuteIcircifrac14raquo uacuteZdivide Iuml

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

Ecirc]Iumligraveraquo~sup1currenAacutesup1frac14dfrac12BAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 Atilde|IumligraveAacuteAtilde cedil4frac14Aacutesup1Auml|raquo ugravedugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not Upv ucirc eacuteWsup1ordmdAringcedilAtilde5AEligtimesfrac14iquest Eacuteiquest AgraveJ]ampUumlAcirc|Auml|frac12AringAacutesup1Auml|raquoAumlOgrave(AacuteIcirc~Atildearingfrac14AgraveAacutesup1AcircnAtildeOslashAgrave5Auml|raquoLAacuteAumldAringcedilIacuteIgravefrac14draquoifrac14ordm|AtildeEcirc`EacuteUfrac34AacuteIcircAtildeOcircfTHORN$Uumlv q w iquestiexclCcedilgsup1currenAacuteIcirc~AumldAringAacuteAacuteIcirc~Atildefrac14dEcirc~Ecircsup1Aacutesup1Aumldraquoifrac14dfrac12TAacuteAtildecedilIgrave(AElig5IumliexcleacuteWsup1ordm|AringcedilAtildeAElig Ecirc]iquest Atildediquest Ograve] g sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo AumlOgraveaeligAacuteIcirc~AtildeAgraveAumldcedilwcedilAtildeEumlAEligwOumlPAuml|raquo~Ecircsup1raquo~ordm AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 OgraveregAring~raquo~Agrave Aacutesup1AumldraquoeumlCcedilgsup1currenAacuteIcirc~Auml|AringAacuteIacuteAacuteIcircAtilde frac14|Ecirc~Ecircsup1currenAacutesup1Aumldraquoifrac14frac12FAacuteAtildecedilIgrave(AElig v raquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirceumlAEligwAring~Agrave4Icirc AacuteIcirc~frac14AacuteIgravefrac14icirc vOOtilde wpOumldivide z w Iuml

uumlnyacutenthornnyumll13YSordmY_F2

S $amp)(+-)013021+345627893lt=gt9A6CB

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIumligravesAacuteAtildecedil4frac14Aacutesup1Aumldraquogt ugrave|ugrave AgravedIumlieacuteWsup1raquoifrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12Acirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 AtildedIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIumlieacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvtimesLg sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo(AumldOgravePAacuteIcirc~AtildeAtildeAcircnAuml|frac12AringAacutesup1AumldraquoAumldOgravePAacuteIcircAtildeEgraveAgrave5Auml|raquoLAacuteAumldAringcedil-frac14draquo~EcircNtildeAacuteIcirc~AtildeEgraveAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 v Ccedilgsup1AacuteIcircAuml|AringAacuteAacuteIcircAtildeEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircFAacuteAtilde cedilIgrave w OgraveregAumldcedilEgraveAacuteIcircAtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoAumlOgraveAacuteIcircAtilde9Ograveufrac14dAgrave5AtildeAring~AEligwsup1raquo~ordmyAacuteIcirc~Atilde9Agrave5AumlZAcirc|frac14Zcedilsup1frac14draquo~AgraveAtildeIgravefrac14Aacutewcedilsup1currenicirc]Iuml

frac14Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcircnAtilde EacuteIumligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 v AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde w Agrave|Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacutefrac34 v Acircdfrac14cedilsup1frac14draquoAgrave5Atilde w-t not Upv h=AumldIgrave(Oumlifrac14cedilsup1AEligwAumldraquoOtildeAumldOgraveAacuteIcirc~Atilde$sup1raquo~sup1currenAacutesup1frac14dfrac12eAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34iexclAgrave5Auml|Igrave(OumlAringAacuteAtildeEcircAringAEligwsup1raquo~ordmAacuteIcirc~Atilde$AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde0Igravefrac14Aacutewcedilsup1currenicircv iordmdAringcedilAtildeFEacute w AacuteAumliexclAacuteIcircAtildeAuml|raquoAtildeFAgrave5AumldIgrave(Ouml~AringAacuteAtildeEcircTAringAEligwsup1raquo~ordmiexclAacuteIcircAtildeFAcircdfrac14cedilsup1frac14draquoAgrave5Atilde v ~ordm|AringcedilAtildeFAgrave w OgraveregcedilAumldIgrave AacuteIcirc~AtildeNtildeAEligfrac14dIgrave(Atildesup1raquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcirc|Atilde v iordmdAringcedilAtilde$frac14 w Iuml

uumlnyacutenthornnyumll13YSordmY_F2_a

yenKbrvbarsect =4 acirc $ ]z

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv Oslash| THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5AtildeccediliacuteAtildecedilsup1UgraveUegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_o

Si $amp)(+-)013021+345627893lt=gt9A6CB

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv ordf THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5Atildeccedilqfrac14dUgraveUsup1currenfrac34LAumldegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_y

RR-0114-SJEHANpdf
  • wwwi3sunicefr
    • httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf
Page 27: LABORATOIRE INFORMATIQUE, SIGNAUX ET SYSTEMES DE …mh/RR/2001/liste-2001.pdf · 2002. 6. 27. · [Dir01] DIRAT L. “Outils pour des Mathématiques Interactives et Distribuées”

yenKbrvbarsect =4 acirc $ fzWMJLhZJSaring EFFG FFH agrave thorn timesOslash yuml aagravejpoundaacute w$ thorn yuml aOtildegta2atildeltszligaumlj SOtimes OslashaagravejjUcirccent atilde aumlagrave thorn timesOslash yumlcent aagravejpoundaacute w$ thorn yuml atilde auml a h]j O^ H MBjYaring aelig thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacuteacircaOtildeKa2atildeshyszligaumlFj S timesOslash aagravejjUcirccentaelig thorn timesOslash yumlcent a2atildeshyszligaumlKszligYagravej|aacute f ad s j Y5XiacuteNihaumlNPY H MeJOslash^e[]Z NPQcO`QsO H J[PhNPfsYUacute[SX H MeJOslash^eJLhQVUiN H QVUPJaelig[SX H MJXqjOb H QR[]OY aelig thorn timesOslash yumlaumlNihZJaumlbn[]ObnJLhOeJU^OeFWFJauml[Pcent H NPQsOOaringEFFFG FFFH w5$ thorn yuml frac14ltotildeouml $_divideoslashfrac14 atilde aumlordmaacute frac14ltugrave $frac14 w$ thorn yuml aOtildeKa2atildeshyszligaumlFj SOtimesOslashKaagravejj atilde aumlaacute sw5$ thorn yuml frac14ltotilde ouml $_divideacircfrac14 atilde aumlordmaacute s adfjMJ H JLhZaringY eacute thorn timesOslash yumlauml NPfcY[aringMNUPJ H [ cent=Jaumlbn[]ZaringKj H JU^OeNPO^tWNtildeJg[PJ H aringEFFFG FFFH eacute thorn

timesOslash yuml aacute w$ thorn yuml uacute ouml $_divideacircntilde raquo7ucirc uacute ouml $_divideoslashuacute ouml $_divideacircyacuteuuml atilde aumlaacutecntilde raquo aLu centtimesOslash jeacute thorn timesOslash yumlcent aacute w$ thorn yumlBthorn uacute ouml $_divideoslashthorn uacute ouml $_divideacirc yuml acirc ntilde raquo ucirc uacute ouml $_divideoslashuacute ouml $_divideacirc uuml atilde aumlregaacute u centtimes Oslash ntilde raquo aLu centtimes Oslash j

G QsObnJ H MeJOslash^e[]Z NPQcO`QsO H J[PhNPfsYiexcl[SX frac14ltotildeouml $ordfdivideoslashfrac14 NPO^ frac14ltotildeouml $_divideacircfrac14 NihZJaeligJBjNPf H [currenLJLhZ[poundadfjeWFJOtildebLNPO ^QRhZJUb H fVm bn[]ZOslashKj H J H MeJiexclUPJUfR[WbLQ H mregUPJUb H [Ph[SX H MeJOtildeNPb H QVUPJTbn[]O H []jehuXiacutehZ[]Za macr]jNPO^WNtildeJyO^Oaringaelig Yacuteaagravejaelig agrave aacuteuumlgtthorn timesOslash yuml uumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn otilde)yuml dacute uumlgtthorn otilde)yuml eacutentilde raquo aLu centtimes Oslash jaaOtilde SOtimesOslashj cent u centtimesOslash jcedilQeacute ad j5Otad jeOgraveWFJbLNPOaringhJZaringNihY` H MeJ(KhZJUYJUObnJ[SX H MJNP^^Q H QR[]ONPf H JLhlZntilde raquo aLuOcenttimesOslash jaaOtilde SOtimesOslashj cent u centtimesOslash jeacuteacirc^^ macr^ ^iumlordfcentltshyltAringordfregethIumlIgravecurrenRAringcentmicroETHfrac34IumlltlaquomicroRreglaquoNOacute]currenRlaquosectsup1jpoundn Rlaquo JTbdMe[B[]YJ H MeJgXiacute[]fcfR[WQcO[OslashYJ H [SX^eJUYbnhQRK H [PhYaring uuml thorn UgraveUcircUacuteUuml yuml ^e[BJUYOe[ H ^eJLKEgraveJUO^[]Owagraveuuml thorn timesOslash yuml aacutecntildeaOtilde S timesOslash aagravejj adS]j

uumlnyacutenthornnyumll13YSordmY_FPo

fi $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJampntildeaOgravejQsYNOslashKEgrave[]YZQ H QVUPJiexclXqjOb H QR[]O[SX$bLfcNPYYograve aj^ YKhZJUWQR[]jYZfVmSe H MeJlaquoUPJUfR[WbLQ H mfrac34UPJUb H [PhTQcYbn[]ZOslashKj H JU^eumlcentmhZJLKfsNPbLQcO[ H MJ H JLhZaringY[SXua jcopyWQ H M H MeJUQRh(JkWKhZJUYZYZQc[]OY^FMeJauml^JUYZbnhQRK H [Ph uuml thorn timesOslash yuml QcY(JkWKhZJUYZYJU^centmKaringuuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacutei thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn times Oslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejjaacutentildeoacuteOtilde agrave thorn timesOslash yuml aagravejagrave thorn timesOslash yumlcent aagravejfocirc adj

WMJLhZJSaring EFFG FFH agrave thorn timesOslash yuml aagravejpoundaacute w5$ thorn yuml Otildegta2atildeltszligaumlj atilde aumlagrave thorn timesOslash yumlcent aagravejpoundaacute w5$ thorn yuml atilde auml adSmacr]j O^ Y[aring aelig thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejOcircaacuteegraveOtildegta2atildeltszligaumljaelig thorn timesOslash yumlcent a2atildeshyszligaumlKszligYagravejOcircaacute f adS]jG QsObnJ H MeJordfXiacutejOb H QR[]OY aelig thorn timesOslash yuml NPO^ aelig thorn timesOslash yumlcent ^e[aringO[ H ^eJLKEgraveJUO^[]OtagraveeFWFJTMNUPJSaringEFFFG FFFH w$ thorn yuml frac14ltotilde5ouml $ordfdivideoslashfrac14 atilde aumlregaacute s

w$ thorn yuml frac14ltotilde5ouml $ordfdivideacircfrac14 atilde aumlregaacute s ad]zSjMJ H JLhZaringY eacute thorn timesOslash yumlauml NihZJ H MJUObn[]ZOslashKj H JU^eNPO^WFJauml[Pcent H NPQcOOaringEFFFG FFFH eacute thorn

timesOslash yuml aacute w$ thorn yuml thorn uacute ouml $ordfdivideacircntilde raquo7ucirc Otilde uacute ouml $ordfdivideoslashuacute ouml $ordfdivideacircyacuteuuml atilde aumlaacute thorn iacute $ w$ thorn yuml ntilde raquo aOtilde SOtimesOslashj atilde aumleacute thorn timesOslash yumlcent aacute w$ thorn yuml uacute ouml $ordfdivideoslashthorn uacute ouml $_divideacirc yuml acirc ntilde raquo ucirc Otilde uacute ouml $ordfdivideoslashuacute ouml $ordfdivideacirc uuml atilde aumlordmaacute ugrave $iacute $ w$ thorn yuml ntilde raquo aOtilde SOtimesOslashj atilde auml JUacutebLNPO H MeJUObn[]ZOslashKj H JUacute^QRhZJUb H fm H MJ_UPJUfR[WbLQ H mUPJUb H [Ph[SX H MeJUacuteNPb H QVUPJOtildebn[]O H []jhXiacutehZ[]Zigravea macr]j(NPO^WNtildeJyO^Oaringaelig Yacuteaagravejaelig agrave aacuteuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yumldacute uuml thorn otilde)yuml eacute aOtilde SOtimesOslashjicircFtimesOslash $ thorn yuml ntilderaquo)aOtilde SOtimesOslashjmiddotQeacute adSi]j

5O H MeJtimesKNih H QsbLjfcNihiexclbLNPYZJIacute[SXIcircntildeaOgravejuaacuteOslashScenteKWFJtimesMNUPJnntilde raquo aOgravejcopyaacute NPO^ H MeJLhZJXiacute[PhZJSeH MeJiexclNP^^Q H QR[]ONPf H JLhlZaringYebn[]ZaringQcO[gXiacutehZ[]Z H MeJ UiNihQcN H QR[]O [SX H MeJiexcl^eJUYbnhQRK H [PhYOcircWQ H MagraveeNihJJjNPf H [gcurrenLJLhZ[^[WNtildeJUPJLheWQsOordmZOslash[]Y H bLNPYZJUYe H MQsYyNP^^Q H Qc[]ONPf H JLhlZoslashQsYyOe[ H

uumlnyacutenthornnyumll13YSordmY_FPy

yenKbrvbarsect =4 acirc $ fhcurrenLJLhZ[^ not [PhaeligJkeNSZOslashKfRJSeampQVXUgraventildea]jaacute yuml Wiexcl cent eshyWiexclQ H MN`KEgrave[]YZQ H QVUPJ bn[]OY H NPO H eQWFJMNUPJSaring

ccedil aacuteFuumlgtthorn timesOslash yuml uumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn otilde)yuml uumlgtthorn otilde)yuml eacute aOtilde SOtimesOslashjicircFtimesOslash $ thorn yuml aOtilde SOtimesOslashj IcircAumlaOtilde SOtimesOslashj cent adSh]j^ ^~IacuteFEumlIgraveFIacute5IgraveFOacuteETHNtildeFETHEacuteshyOacuteAgraven13ETH9 ETH9IgraveumlEumlIgravesup1+ltIgraveFEumltIcircIgraveFETHbIacute5IgraveFETH9shyEacute18 YXqNih0NPY H MeJOBjFZOslashJLhdQcbLNPfeQZOslashKfcJZOslashJUO H N H Qc[]OtimesQsYybn[]ObnJLhOeJU^eSWNtildeJbLNPOZOslash[W^eJUf H MeJNPb H QVUPJaumlbn[]O H []jeh_WQ H MNPOJkBK-fcQcbLQ H KNihNSZOslashJ H JLhdQVcurrenUN H QR[]ObaN[PhNPO[]QcNPOXiacute[PhlZtimesjfcN~VH QR[]OKjaelig[Ph NPO QCZOslashKfcQcbLQ H []OeJraNtildejfRJLhQsNPO Xiacute[PhlZIacutejfcN H QR[]Ogtj^ G JLJra G J H MQcNPOOe5fhSh s jNPO^egraveaJUfcQcO[PJ HH J NPO^ _a[]O H N[]ON H e sSs fjX[PhaeligNPOQcO H JLhZJUY H QcO[eumlbn[]ZOslashKNihdQcY[]OcentEgraveJ H WFJLJUO H MeJ H WNtilde[ZOslashJ H M[B^Y^ iexclO[ H MeJLhOtildeQcO H JLhJUY H QcO[aringhJUBQRJW[]O H MeJtimes^Q=JLhJUO HZOslashJ H M[B^Y[SX$NPb H QVUPJIacutebn[]O H []jehQcY(Kh[PK=[]YZJU^ QcOpoundaw_[]O H N[]ON H J H NPfd^Ve sSs fj^iexclJLhZJSeWFJaumljYJ H MeJaumlfRJUPJUfYZJ H ZOslashJ H Me[W^ NiKKhZ[]NPbdM KhZ[PKEgrave[]YJU^centm q YMeJLhNPO^G J H MQcNPOa q YZMJLh NPO^ G J H MQcNPOe fhSiSi]j centj H hJ[]QR[]OWVcentNPYJU^ NPb H QVUPJeumlbn[]O H []jehdYZaringNmNPfcYZ[ centEgraveJQZOslashKfcJZOslashJUO H JU^7centmjYQcO[`XNtildeV4YK-fcQcOeJUYXiacute[PhaeligNPOJkWKfcQsbLQ H K-NihNSZOslashJnVH JLhQcurrenUN H QR[]O ayhZJUbLQc[]Y[ NPO^XNihfcNPj^Oe sSs fj^shyMJ`PJmeumlQc^eJUN [SX H MeJOslashfRJUPJUfampYJ HZOslashJ H M[B^QsY H [ QcO H hZ[W^jbnJaumlNPO`NPjkWQsfcQcNihYmXiacutejOb H QR[]O l a2atildeltszligaumlgtszligYagravejYZjbdM H MN H YacuteaagravejQcY H MJtcurrenLJLhZ[OacutefRJUPJUfYJ H [SX l ^OcircMJXiacutejOb H QR[]O l QsYaelig[SX H JUO bMe[]YJUO H [centEgraveJ H MeJYZQ[]OeJU^ ^QcY H NPObnJordfXiacutejOb H QR[]O[SXQYacuteaagraveje-NPO^ QsY H MeJUObdMNihNPb H JLhQVcurrenLJU^acentmKaring

YacuteaagravejOcircaacute a2atildeltszligaumljPO l a2atildeshyszligaumlKszligYagravejaacute s a2 s jMQcYOcirc0jfRJLhQcNPOordmXiacute[PhlZtimesjfcN H QR[]O KhZJUYZJUO H YFYJUPJLhNPfEgraveNP^UiNPO H N[PJUYga G J H MQcNPOOeKfhShS]j^not QRhY H fVmSe H MeJabLjehYUPJ l ZaringNmcenthJUN`[PhoZOslashJLhY[PJNPY H MJXiacutejOb H QR[]O l JUP[]fUPJUYeNPO^ H [PK=[]fc[S[]QcbLNPfbdMNPO[PJUYFNihZJ H MBjY$JUNPYZQsfVmOslashMNPO^fRJU^^ G JUbn[]O^fVmSe H MJJUP[]fVUWQcO[XqjOb H QR[]O l a2atildeshyszligaumlKszligYagravejNPfVWNmWY(hZJZaringNPQcOY(NlaquoXiacutejOb H QR[]O NPfcfR[WQcO[timesJltz bLQRJUO H OBjFZOslashJLhVQcbLNPfFYZbdMeJZOslashJUY^OcircMQRh^fVmSe H MeJ[PJL[]ZOslashJ H hQcb KhZ[PKEgraveJLh H QcJUYT[SX H MeJ bLjehYUPJSe$fcQV`PJ H MeJbLjehlU~N H jehJ NPO^ H MeJOslashOe[PhlZ NPfshyUPJUb H [PhordfJUfs^eacute e=bLNPO centEgraveJIacuteJUY H QZaringN H JU^euml^QRhZJUb H fmXiacutehZ[]Z H MeJTfcJUPJUfgYJ H XqjOb H QR[]Oaring aacute V ucirc l l uuml NPO^ eacuteecircaacute l l a2FfjMJJUP[]fsj H QR[]O JBjN H QR[]O H MeJUO centEgraveJUbn[]ZOslashJUYaringaelig l aagravejaelig agrave aacuteegraveccedilacute l a2 jMJregUPJUfR[WbLQ H msup1XiacutejOb H QR[]OxccedilEQcYIacutebn[]ZaringKj H JU^7[]OfVm[]O H MeJbLjehYUPJYacuteaagravejaumlcent-j H WFJbLNPO Jk H JUO^ Q H YFJkBKhZJUYZYZQR[]O H [ H MeJiexclWMe[]fRJUacuteQZaringN[PJOtilde^e[]Z NPQcOoOumlordf^[OslashQZOslashKfRJZaringJUO HH MeJIacutefRJUPJUf9YJ H ZOslashJ H Me[W^OeY[]fsj H QR[]OYuZtimesjY H centEgraveJgXiacute[]jO^ H [ bLQRhbLjZyUPJUO H Kh[PcentfRJZaringY

uumlnyacutenthornnyumll13YSordmY_FP

s $amp)(+-)013021+345627893lt=gt9A6CBbn[]ZaringQsO[ Xh[]Z H MeJpoundXqNPb HH MN H`H MeJYZQV[]OeJU^ ^QcY H NPObnJumlXqjOb H Qc[]O l QcYaOe[ H NY[]fsj H QR[]O[SX H MeJyiexcl a2 jeEgraveYJLJa []ZOslashJUYNPO^ not NPjF[PJLhNPYe sSsSs jyacuteXiacute[Phiexcl^J H NPQcfcY^5Oaelig[]jehWF[PhY`gte H MJuXiacutejOb H QR[]O l QcYamphZJUQsOQ H QcNPfcQcurrenLJU^TY[ H MN H Q H hZJZaringNPQcOYampNOtilde^QsY H NPObnJXqjOb H QR[]OenYZJLJ5aq jecentEgraveJLh H NPO^gcOtilde[PhdOeKhZ[PcentY H e sSs fJLcenthZJUjFUPJSe sSsSs jOXiacute[Ph^J H NPQcfcY[]O H MJOtildehZJUQcOQ H QsNPfcQVcurrenUN H QR[]O JBjN H QR[]OO^5Oeuml[Ph^eJLh H [QCZOslashKhZ[UPJaringOjFZaringJLhQcbLNPfJltz bLQRJUObmSeOWFJaringbn[]ZOslashKj H J H MeJOslashJjN H QR[]O[]O NIacuteONihhZ[Wcent-NPO^aringJUObLfc[]YZQcO[ H MJiexclfRJUPJUf s [SX H MeJUacutefRJUPJUf-YJ H XqjOb H Qc[]OO^ JUacuteNPfcY[jYZJZtimesjf H QRhZJUYZ[]fcj H QR[]O H JUbdMOQBjeJUYcentmZaringN`BQsO[ H MeJFNPb H QVUPJ(bn[]O H []jh$JUP[]fVUPJcopyhY H[]ONOslashfc[W hZJUYZ[]fcj H QR[]O QZ N[PJS^FMeJordfONPfbn[]O H []jeh[Pcent H NPQcOeJU^Xiacute[Ph H MQcYhJU^jbnJU^QZ N[PJaumlQcY H MeJUOjYJU^ NPYNPOQsOQ H QcNPfEgravebLjehYUPJordfXiacute[Ph H MJOtildehZJUNPfgYZQVcurrenLJaumlQCZaringN[PJS^

EparaacuteAgravegtmicrosup1acuteIKJcedilJT2MgtI MraquowMgtmicrosup1MAgravegtacuteIltacuteMgtPltAtilde iquest acuteAgravegtT2MKIshyAtildeAcirccedilAtildeacuteNicircMgtI cedilAEligMgtmicroOcircacuteOgraveJTCJT13MKI sup2OcircacuteJordfsacuteacuteI Jfrac14ltacutegcedilFLT2cedilIshyROgraveacuteAtilderaquoAMLBqoLacute13AtildeR]cedilsup32acute GmicrobcedilAgraveacuteAtilde5O H MQcYUacuteYJUb H QR[]OOeOWFJOslashKhZ[PKEgrave[]YJaeligY[]ZOslashJOslashhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhY H [YJ[iVZOslashJUO H M[]ZOslash[S[PJUOeJL[]jYiexclhZJ[]QR[]OYiexcl[]Ofrac34[PhZJmBYbLNPfRJIacuteQZ N[PJUY^gtMJUYJIacute^eJUYbnhQRK H [PhYiexclNihZJcentNPYZJU^[]O H MJZaringQcOQZaringQVcurrenUN H QR[]O [SX H MeJU~NihdQcNPObnJUYauml[SX H MJ H WF[`bn[]OYZQc^eJLhZJU^OacutehZJnV[]QR[]OY^ 5O H MJ7YJUbn[]O^ K-Nih H e H MJQZOslashKEgrave[Ph H NPObnJOacute[SX H MeJNP^^Q H QR[]ONPf H JLhZaringYebn[]ZaringQsO[XiacutehZ[]Z H MeJiexclU~NihdQcN H QR[]O [SX H MeJUacute^eJUYZbnhQcK H [PhYWQ H M H MeJiexclJUP[]fUBQcOF[IacutehZJ[]Qc[]OYeQcY9MQV[]MfcQ[]M H JU^O^ G QCZOslashKfRJJkWNSZaringKfRJUY9YMe[W H MeJ0QZOslashKEgrave[Ph H NPObnJ$[SX H MeJUYJ0NP^^Q H QR[]ONPfH JLhlZ Y H [ NPbMQRJUPJ H MeJOtildeJkWKEgraveJUb H JU^aYJ[]ZaringJUO H N H QR[]O^^f^laquoIgraveIcirc=KEgrave(FETHOEacuteltEgraveIcircEcircgtNtildeltIcircIgrave8 EacuteshyOacute ETH9Igravek+NtildeshyEgrave13NtildeshyOacute=KIgraveC0EacuteshyEgraveh4ltEgraveOIgravesup1QIcirc=NtildeltEumlOgraveIgrave2Iacute Ntilde4ltIgraveIcircMJQcO H JUOYZQ H mregXiacute[Phu[PhZJmWYZbLNPfRJaumlQZ N[PJUY(QcYhZJLKhZJUYZJUO H JU^centm NlaquoXqjOb H QR[]OOtilderegaringOgraveOumlOtilde 13ordfcentwntilde Otilde 13laquo^ JaKhZ[PKEgrave[]YJ H [bZaringQcOQZaringQVcurrenLJ H MeJU~NihdQcNPObnJUYOslash[SX H MeJ H WF[bn[]OYZQc^WVJLhZJU^ Me[]Zaring[S[PJUOeJL[]jY hZJ[]Qc[]OY QcO [Ph^eJLh H [YJ[]ZOslashJUO H H MeJZ^uMJXiacute[]fcfR[WQcO[^eJUYbnhQRK H [PhY(NihJaumlYZj[S[PJUY H JU^OaringEFG FH uuml thorn UgraveUacuteUuml yuml aacutecntildeaLuOcentUgraveUacuteUuml juuml thorn times Oslash yuml aacutecntildeaLuOcenttimes Oslash juuml thorn otilde)yuml aacutecb a2Ograve]jWMJLhZJjntildea]jQcYNOslashKEgrave[]YZQ H QVUPJordfXiacutejOb H QR[]O [SX$bLfcNPYZYEacuteograve aOtilde 13yj(NPO^kb`NOslashKEgrave[]YZQ H QUPJaumlbn[]OWVY H NPO H ^MJTbn[]ZOslashKj H N H Qc[]O[SX H MeJUPJUfR[BbLQ H mUPJUb H [PhaumlQcY^JU^jbnJU^tXiacutehZ[]Z H MeJIacutebn[]ZOslashK-j H N~VH QR[]O`[SX H MeJaelig^eJLhQVUiN H QVUPJIacute[SX H MeJtimesbnhdQ H JLhQR[]Opoundocirc7^eJUPJUfR[PKEgraveJU^ QcO G JUb^^ macr^feWMQsbMfRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[aeligJUP[]fcj H Qc[]O JjN H QR[]OOaringaelig Yacuteaagravejaelig agrave aacuteethntildeaLu centtimesOslash j ntildeaLu centUgraveUcircUacuteUuml jb ntilderaquo)aLu centtimesOslash jaaOtilde S timesOslash j cent u centtimesOslash j ntilde raquo aLu centUgraveUcircUacuteUuml jaaOtilde SUgraveUcircUacuteUumlj cent u centUgraveUacuteUuml jIcirc13eacute a2Sj

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ fMJiexclYZQcOF[]fRJiexclK-NihNSZOslashJ H JLhcopyWNtildeJOtildeOeJLJU^ H [aringNP^~ZjY H QcY H MeJUacuteYYZOslash[B[ H MQcO[timesKNihNSZOslashJ H JLhb^5OregXqNPb H e H MeJ X [W ethb MNPY H MeJiexclKhZ[PKEgraveJLh H QRJUYNtilde[SXYYZOslash[B[ H MQcOF[IacutecentEgraveJUbLNPjYJOtildeQ H ZOslash[UPJUYH MeJUacutebLjehYUPJUacuteQcO H MeJUacute^QRhZJUb H QR[]O [SX9Q H YfRJUOF[ H MregXqjOb H QR[]ONPfQa G Qs^^QBQeJ H NPfd^VeOfhShS]j^^ ^~IacuteEacuteltEgraveETHOgraveNtildeltOacute=KIgravefrac34Eacute10frac34ETH9Igrave Ntilde8182ETHEacuteshyOacuteNtildeshyEumlETHIgraveFEgraveOIacute5Icirc5O[Ph^JLh H [7JU~NPfcjN H J H MeJ QZOslashKEgrave[Ph H NPObnJ`[SX H MeJ`NP^^Q H QR[]ONPf H JLhlZaringYX[Ph H MeJYJ[]ZaringJUO H N H QR[]OeuWNtildeJpoundZaringN`PJ H MJeumlNPb H QUPJbn[]O H []jehaJUP[]fVUPJ H MehZ[]j[]M H MJ iexcla2SjeQsObLfcj^QsO[ H MeJaumlNP^^Q H QR[]ONPf H JLhlZaringY^ q O H MeJUacute[ H MeJLhMNPO^OeWNtildeJaumlNPfcYZ[ZaringN`PJQ H JUP[]fUPJfrac34WQ H M H MeJwXiacute[]fcfR[WQcO[ WhZ[]OF[JUP[]fcj H QR[]OJjN H Qc[]O H MN H ^e[JUY Oe[ HQcObLfcj^eJ H MeJaumlNP^^Q H QR[]ONPf H JLhlZaringYaringaelig Yacuteaagravejaelig agrave aacuteethntildeaLu centtimesOslash j ntildeaLu centUgraveUcircUacuteUuml j`b Qeacute iuml a2Ogravemacr]jnot [Ph H MeJOtildeJkWKEgraveJLhQZOslashJUO H YeWFJ H N`PJntildeaOgravejOcircaacute ILK KafcediliexclOgravejWMQsbM[]QVUPJUYntilde raquo aOgravejaacutefdOafcedil]j(NPO^ H MeJgUiNPfcjeJOtilde[SX H MeJaumlKNihdNSZOslashJ H JLhEacutebaQcY(YJ HH [frac34f s ^OcirckBKEgraveJLhQCZOslashJUO H Y NihZJ KEgraveJLhYX[PhZOslashJU^ []O NYmWO H MJ H Qcb`QCZaringN[PJumlZaringNP^eJeumljeK [SXTNPO

Me[]Zaring[S[PJUOeJL[]jYYYBjNihZJ[SX9QcO H JUOYZQ H mwf s []O NIacutecentNPbl`[PhZ[]jO^ [SX9QcO H JUOYZQ H mtf s ^ []NPjYZYZQsNPOOe[]QcYJUacute[SXUiNihQcNPObnJ s QcY(NP^^eJU^ H [ H MQcY(YmWO H MJ H QcbOtildeQZaringN[PJS^MeJOtildeJUP[]fcj H QR[]Oa[SX H MeJTNPb H QVUPJtimesbn[]O H []jehUacute^ehQUPJUOcentmpounda2SjQcYu[]QVUPJUO`QcO not QV[^ WMQcfRJ H MeJ[]OeJ`[Pcent H NPQcOeJU^ jYZQcO[ a2Ogravemacr]j QcYordm[]QUPJUO QcO not QV[^ ^ J bLNPO hZJZaringNihY`H MN H WMeJUO H MeJoiexclQsObLfcj^eJUY H MJ NP^^Q H QR[]ONPf H JLhZaringYe H MJ YYBjNihZJ QcYgWFJUfcfYJ[]ZaringJUO H JU^acirca not QV[^ ^bjeuWMeJLhJUNPYWiexclMeJUO H MeJ |iexclD^e[BJUY Oe[ H QsObLfcj^eJ H MeJUYJNP^^Q H QR[]ONPf H JLhZaringYwWFJ7[Pcent H NPQcO N bLQRhbLfcJOacuteQcOY H JUNP^ [SX H MeJ7JkBKEgraveJUb H JU^YYBjNihZJa not QV[^ ^bj^MeJUYJhZJUYZjf H YNtildebLNPOcentEgraveJcentEgraveJ HH JLh(jO^eJLhY H [[W^WMQcfRJNPONPfmcurrenUQcOF[ H MeJiexclUPJUfR[WbLQ H mUPJUb H [PhYUacute[SXNtildeJUNPbMJUP[]fsj H QR[]O JjN H QR[]OO^ Jaringbn[]ZOslashKNihZJ H MeJ H WF[ JUP[]fcj H QR[]OYiexcl[SXH MeJlaquoUPJUfR[WbLQ H mwUPJUb H [PhYauml^jehQcO[ H MeJaeligKhZ[PKN[]N H Qc[]Oeuml[SX H MeJOslashbLjehYUPJwa2WiexclQ H Me[]j HH MeJcentEgrave[]jO^NihYmVcent-NPYJU^ H JLhlZb j^MeJ(JUP[]fcj H Qc[]OOslash[SX H MeJNSZOslashKfsQ H j^eJ[SX H MeJyacuteUPJUfR[Wb|VQ H mregUPJUb H [Ph[SXQ|iexcla2SjFQsY[]QUPJUO QcO not Q[aqYj^ ^ ^OecurrenJSe Xfrac34]eWMQsfRJ H MeJOtildeNSZOslashK-fcQ H j^eJ[SX H MeJUPJUfR[WbLQ H mwUPJUb H [PhOtilde[SX||iexclacirca2Ogravemacr]jiexclQcY []QUPJUO`QcO not QV[aqYj^ ^ ^OecurrenJSe Xfrac34]^ JOslashbLNPO[PcentYZJLhYUPJ H MN HaringH MeJUPJUfc[BbLQ H msup1WiexclQ H Me[]j HaeligH MeJNP^^Q H QR[]ONPf H JLhlZaringY QcYaeligNbn[]OY H NPO HWMJLhZJ [PcentUWQR[]jYfVm H MJaQZaringN[PJfrac34XJUN H jehJUY ^e[OacuteO[ H NiKKEgraveJUNih^ q O H MeJabn[]O H hNihYmH MeJaumlQCZaringN[PJordfXJUN H jhZJUYuWFJUfcfNiKKEgraveJUNihQcO H MeJordfUPJUfR[WbLQ H m QcObLfcj^QcOF[ H MeJaumlNP^^Q H QR[]ONPfH JLhlZ Yya not QV[aqYj^ ^ ^OecurrenJSe Xfrac34jiexclNPO^ Y[ H MeJaumlYljNihJTbLNPO centEgraveJordfWNtildeJUfsfYJ[]ZOslashJUO H JU^O^MeJyKhZJUWQR[]jYEgravehJUYZjf H YgYMe[W H MN H Q H QcY[SXeKhQCZOslashJ$OeJUbnJUYZYZQ H m H [ H N`PJQcO H [NPb|Vbn[]jO H0H MJNP^^Q H QR[]ONPf H JLhZaringYeWbn[]ZaringQcO[XhZ[]Z hZJ[]QR[]OeV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhYeQcO[Phd^eJLh H [ hZJUNPbdMaN H hdjeJgZaringQcOQCZIacutejFZ [SX H MeJaumlbnhQ H JLhdQR[]OO^

uumlnyacutenthornnyumll13YSordmY_F

S $amp)(+-)013021+345627893lt=gt9A6CBEIumlparaacuteAgravegtmicrosup1acuteIKJcedilJT2MgtI MraquoordfAEligMgtsup32MLwMKmicrobMgtAgraveacuteIshyacuteMgtPltAtilde iquest acuteAgraveKT13MKIshyAtildeAcirclaquocedilFAtildeacuteNicircMKIJfrac14ltacutepoundAEligMAringcedilFLT2cedilIltR]acuteHcedilJLTOcircfrac12sup3T13ROgravecedilJT2MgtI JMAgraverltcedilFR]acuteacuteJacuteR]JT2MgtIicircT2ItT2NQacuteM paraacutePshyacuteIltR]acuteAtildeMQcY0K-Nih H ^eJUNPfcYWQ H M H MeJOtildeYJ[]ZOslashJUO H N H QR[]O [SXMe[]ZOslash[S[PJUOeJL[]jY(hZJ[]QR[]OYQcOZtimesjfuVH QcYZK=JUb H hdNPfQZaringN[PJUY^ YNPOaJkWNSZaringKfRJSeWFJIacuteYZMe[W H MN HiexclH MeJTbn[UiNihQcNPObnJZaringN H hQVkbLNPOacent=JIacuteNUPJLhYm KEgrave[WFJLhYXqjf H [B[]f H [ YJ[]ZOslashJUO H Me[]Zaring[S[PJUOeJL[]jYbn[]fR[PhiexclhJ[]QR[]OY^F5OXqNPb H e H MeJtimes^eJ H JLhlZaringQsONPO H [SX H MeJTbn[U~NihQsNPObnJZ N H hQkKhZ[UPJUY H [ centEgraveJIacuteNaringhJUfRJU~NPO Hbn[]fR[PhaelighZJ[]Qc[]O7M[]ZOslash[S[PJUOeJUQ H msup1ZOslashJUNPYZjhZJZOslashJUO H a G NPO[SWQcOeJ NPO^r[PhdOeJSeufhShSi]j^_`QcOQZ QVcurrenUQcO[ H MQcYjNPO H Q H m ZOslashJUNPOY H MN H WFJwWNPO HH [^eJUbnhZJUNPYJ H MeJeumlbn[]ZaeligVKfcJkWQ H m[SXUacuteNeumlhZJ[]QR[]Oa hdNmJ H NPfd^Ve sSs fampN H JUjke sSsSs j^MQcY H [B[]fuZaringNmKhdNPb H QcbLNPfcfVm cent=JaumljYJU^X[Ph XiacuteNPbnJtimes^eJ H JUb H QR[]OaQsO QZaringN[PJaumlYJBjeJUObnJUY^macr^f^laquoIgraveIcirc=KEgrave(FETHOEacuteltEgraveIcircEcircgtNtildeltIcircIgrave8 EacuteshyOacute ETH9IgraveAgrave=Eacute3+NtildeshyEgrave13NtildeshyOacute=KIgravefrac34Iacute_NtildeFETHEgraveEcirc20EacuteshyEgrave=EacuteshyEumlEacuteshyEgrave2Iacute Ntilde4ltIgraveIcircMJQcO H JUOYZQ H mxXiacute[Ph bn[]fR[Ph QCZaringN[PJUYaringQcYOslashhJLKhZJUYJUO H JU^centm7NpoundXiacutejOb H QR[]OOtildeegravearingOumlOtilde 13ordfcent ntilde Otilde 13 WMeJLhZJ Otilde aacute Otilde szligYOtildeOgravecentszligYOtilde13ordf ^iexclXm NPONPfR[S[SmAumlWQ H M H MeJOacuteY H j^Fm Xiacute[Ph[PhZJmWYZbLNPfRJFQZaringN[PJUYeWNtildeJZaringQcOQCZaringQVcurrenLJ H MeJNtilde^J H JLhlZaringQcONPO H [SX H MeJFbn[UiNihQcNPObnJcopyZaringN H hQVk[SX H MeJTbn[]OYQc^eJLhZJU^hZJ[]Qc[]OY^ J5ZaringNmaringNPYYZjFZOslashJ H MN H JUNPbdM bn[]fR[PhFhZJ[]QR[]Oacute13 QsYOcircZOslash[W^eJUfcfRJU^OslashcentmOslashNg[]NPjYYZQcNPO^QsY H hQRcentj H QR[]Oeuml[SXyacuteZOslashJUNPOiexclSegraveaacute S szligPS cent szligPS NPO^7bn[UiNihQcNPObnJZ N H hQk5^MeJKh[PcentNicentQcfcQ H maring^eJUOYQ H moXiacutejOb H QR[]O QcYu[]QUPJUO centm H MeJgXiacute[]fcfR[WQcO[aeligJkWKhZJUYZYQR[]OOaring

$ampamp aOtildejOcircaacute fa )( j +cent aq^J H ayacutejj cent JkWK- f aOtilde Sltj thorn aOtilde Sltj a2Ograve]jG [eZaringQcOQZaringQVcurrenUQcOF[ H MJbn[U~NihdQcNPObnJuZaringN H hQktimes^eJ H JLhlZaringQcONPO H [SX-NPOtimesJUP[]fVUWQcO[hJ[]QR[]ONiKKEgraveJUNihY H [OslashcentEgraveJNtimeshZJUfcJU~NPO HH [[]f H [ordmZaringN`PJ H MQcYFhZJ[]Qc[]O bn[]OUPJLhY[PJ H [WFNih^Y H MeJbLfR[]YZJUY H Me[]ZOslash[S[PJUOeJL[]jYbn[]fR[PhiexclhZJ[]QR[]OO^9J H jY$Oe[ H J timesOslash NPO^0copyUgraveUcircUacuteUuml H MJbn[UiNihQcNPObnJ5ZaringN H hQcbnJUYy[SX=hJUYKEgraveJUb H QVUPJUfVmordmOuml timesOslash aagravejNPO^tOuml UgraveUacuteUuml aagravejaring

atilde aacute213 u Patilde u centatilde u atildeu cent atilde u centcentatilde u cent4atildeu5 atilde u5centatilde u54atilde67 a2zSj

WMJLhZJSaringEFFG FFH u times aumlatilde aacute iacutefaring w aring thorn yuml aOtilde times S times atilde jaOtilde auml S auml atilde j atilde aumlS times atilde aacute iacutefaring w aring thorn yuml Otilde times a2atildeltszligaumlj atilde auml WQ H M aacuteiVIgraveOacute[Ph Kf5

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ J [PcentUWQR[]jYZfm`MNUPJacuteu times aumlatilde aacuteu auml timesatilde ^shy9J H jYaumlO[ H J ^eJ H a atilde j H MJ ^eJ H JLhlZaringQsONPO H [SXH MeJaumlbn[U~NihdQcNPObnJZ N H hQkWiexclMQcbMJkBKhJUYZYZQR[]O QcY H MJgX[]fsfR[WQsO[aring

^eJ H a atilde jumlaacute u Patilde u centcentatilde u 4atilde u centatilde u atilde u cent4atilde u Patilde u cent4atilde u cent4atilde u centcentatilde u atilde u atilde u 4atilde u centatilde u centatilde a2Ogravei]jnot jOb H QR[]OY [SX H MeJeumlbn[UiNihQcNPObnJpoundZaringN H hQk ^eJ H JLhZaringQcONPO H YNihZJ jYJU^ NPY hJ[]QR[]O^eJUYbnhQRK H [PhY^ JIacutebMe[B[]YJ H MJordfX[]fcfc[WQcOF[aeligYZJ H [SX$^eJUYZbnhQRK H [PhYaringEFG FH uuml thorn UgraveUcircUacuteUuml yuml aacute98ordfaq^eJ H acopyUgraveUcircUacuteUumlAjjuuml thorn timesOslash yuml aacute98ordfaq^eJ H a timesOslash jjuuml thorn otilde)yuml aacuteOslashb a2Ograveh]jWMJLhZJ8ordfaOgravejFQcYNOslashKEgrave[]YZQ H QVUPJiexclXiacutejOb H QR[]O [SXampbLfcNPYZYograve aOtilde 13yjFNPO^Cb`NOslashKEgrave[]YZQ H QVUPJOtildebn[]OWVY H NPO H ^gJ H jYNtildeOe[W WhQ H J H MeJJUP[]fcj H Qc[]OaringJBjN H QR[]O [SX H MeJiexclNPb H QUPJbn[]O H []jehcentmbn[]ZOslashK-j H QcO[ H MJIacute^QEgraveJLhZJUO HH JLhlZaringYiexcl[SX_a j^J H NPQcfcYiexcl[SX H MeJIacutebn[]ZaringKj H N H QR[]O bLNPOcentEgraveJgXiacute[]jO^QsOaNiKKEgraveJUO^QVk X5^gtMJaumlJUP[]fcj H QR[]O`JBjN H QR[]O[SX H MJIacuteNPb H QVUPJaeligbn[]O H []jhQcY H MJgX[]fsfR[WQsO[aringaelig Yacuteaagravejaelig agrave aacute8gaq^eJ H atimesOslashjj 8ordfaq^eJ H a UgraveUcircUacuteUuml jj`b admacr s jlt8Icircraquodaq^eJ H a times Oslash jgt= ccedil A B egrave aOtilde S timesOslash jaOtilde B5 S BtimesOslash jB^eJ H aDC EBtimesOslash ja fj BGFH amp^eJ H atimesOslashj48 raquo aq^eJ H atimesOslashjj 8Icircraquodaq^eJ H a UgraveUacuteUuml jgt= ccedil I B egrave aOtilde Eacute S UgraveUcircUacuteUuml jaOtilde B S BUgraveUcircUacuteUuml jB^eJ H aDC JBUgraveUacuteUuml ja fj BKFH amp^eJ H a UgraveUcircUacuteUuml j48 raquo aq^eJ H a UgraveUcircUacuteUuml jjcedil13eacuteMJZaringN H hdQkLC JBatilde QsY ^JU^jbnJU^icircXh[]Z H MJeumlbn[U~NihdQcNPObnJbZaringN H hdQkM atilde centm YZjeKeVKhJUYZYZQcO[ H MeJ uuml UumlON hZ[WENPO^ H MeJ I UumlON bn[]fcjFZaringO^MeJeumlfcNPY H Xiacute[]jeh fsQcOeJUY [SX H MeJJBjN H QR[]ONihZJ H MeJOtildeNP^^Q H QR[]ONPf H JLhZaringY(bn[]ZaringQcO[XiacutehZ[]Z H MeJiexclU~NihQsN H QR[]O [SX H MeJOtilde^eJnVYZbnhdQRK H [PhYWiexclQ H Mordmagrave^ Y0Q H MNPYycentEgraveJLJUOOslashKhJUBQR[]jYZfVmTKhZ[UPJU^X[Ph[PhZJmWYZbLNPfRJiexclQCZaringN[PJUYeH MeJUYZJ H JLhlZaringYMNUPJ H [ cent=Jaumlbn[]OYZQc^eJLhZJU^ QsO[Ph^eJLh H [regZ N`PJ H MeJTNPb H QUPJTbn[]O H []jhbn[]OUPJLhY[PJ H [WFNihd^YNZ QcOQZtimesjFZ [SX H MJTbnhQ H JLhQc[]OO^macr^ ^~THORNUgrave2FIgraveFEgrave2Iacute_IgraveFOacuteshyETHOgraveNtildeshyEumlEgraveOIgraveIcircdEumlETHOIcircnot [Ph H MJ JkWKEgraveJLhQZOslashJUO H YeQWNtildeJ H N`PJCntildea]jordmaacute ILK Kaf[]jgWMQsbMsup1[]QVUPJUYnntilde raquo aOgravejaacutefdOafWOgravej(NPO^8ordfaOgravejaacute ILK KafIcirch cent juWMQcbdMt[]QVUPJUY8 raquo aOgravejaacute ETHOafIcirch cent j^ JbdMe[[]YZJ bbaacute f s ^QMeJaringbn[]fR[PhtimesYKNPbnJ YJUfcJUb H JU^QcYaQPszlig l szligicirclaquojeltWMeJLhZJwaOtilde aacuteRPordmjhZJLKhZJUYJUO H Y H MeJfsjFZaringQcONPObnJNPO^waOtildeOgravecent5aacute l j$NPO^frac34aOtildeS aacuteOslashicircj$hZJLKhZJUYJUO HyH MeJ H WF[bdMehZ[]ZaringQcONPObnJUY^ not [Ph H MeJbn[]ZaringKj H N H QR[]OOslash[SX H MeJuUiNihQcNPObnJSei[]Ofm H MeJfcjZaringQcONPObnJQcY(jYJU^O^

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CB5Oaring[Phd^eJLh H [aeligYJ[]ZOslashJUO H NPO Me[]ZOslash[S[PJUOJL[]jY0hJ[]QR[]OOeOgraveWFJiexclY H Nih H WQ H M NPO QcOQ H QcNPf

bLjehlUPJ0QcOYZQs^eJ H MJ0hZJ[]QR[]Oauml[SXWQsO H JLhZJUY H ^MeJybLjhYUPJ0QcY H MJUOTYZjeKK=[]YZJU^ H [JkWKNPO^jO H Qcf(Q H hJUNPbMeJUY H MeJ centEgrave[]jO^NihlmOacute[SX H MeJabn[]ObnJLhdOeJU^ Me[]Zaring[S[PJUOeJL[]jYaringhJ[]QR[]OO^MJtimesbLjehlUPJtimes^e[BJUYUacuteOe[ H [P[cent=JmP[]O^ H MJUYJaeligcent=[]jO^NihQRJUYiexclYZQcObnJSe=[UPJLh H MeJLhZJSe H MeJbnhQ H JLhQR[]OOacuteQsObnhZJUNPYJUYtimescentEgraveJUbLNPjYJ H MeJU~NihdQcNPObnJOcircu centtimesOslash [Ph H MeJ bn[U~NihdQcNPObnJtZaringN H hQVk^eJ H JLhZaringQcONPO H ^eJ H atimesOslashjUcirccentOtildeQsObnhZJUNPYJS^MeJaringNPfV[P[PhQ H MZEcentNPYJU^[]O H MeJ bn[UiNihQcNPObnJZaringN H hQVkeumlQcYaumlK=JLhlX[PhlZaringJU^euml[]ONPOQZ N[PJ [SX H MeJUBQs^eJL[`YJBjeJUObnJrnN`WQVmP[]peumlQcO[Ph^JLh H [euml^eJ H JUb HaeligH MeJYKEgraveJUN`PJLhUTYXqNPbnJS^gtMJaumlJUP[]fcj H QR[]O[SX H MJIacutebLjehYUPJIacuteQcYu[]QVUPJUO QcO not QV[^ macr^gtMeJTbn[]O H []jehiexclJUP[]fUPJUYH [ONPfcfVmbn[]OUPJLhY[PJaelig[]O H MeJIacutecent=[]jO^NihQRJUY[SX H MJyXqNPbnJa not QV[^ macr^bj^OMeJyXiacuteNPbnJaeligQcYH MeJUONPbLbLjehdN H JUfVm YZJ[]ZOslashJUO H JU^^FMeJUacuteNSZOslashKfcQ H j^eJ[SX H MeJiexclUPJUfR[BbLQ H m QsYFNPfsY[laquo[]QVUPJUOQcO not QV[aqYj^ macr^ ^OecurrenJSe Xfrac34jNPO^WNtildeJUacutebLNPO [PcentYJLhYUPJ H MN HFH MeJ5XiacuteNPbnJUacutehZJ[]QR[]O QcYUPJLhYmWFJUfcf^eJUfsQZaringQ H JU^regXhZ[]Z H MJ[ H MJLhhZJ[]QR[]OY^MJ5UPJUfc[BbLQ H m[]QUPJUO QcO not QV[aqYj^ macr^ ^OecurrenJSe XQcObLfcj^eJUY H MeJNP^^Q H Qc[]ONPf H JLhlZaringYFbn[]ZaringQcOF[yXiacutehZ[]Z H MeJ5UiNihQcN H QR[]O [SX H MeJiexcl^eJUYbnhQRKeVH [PhY5WQ H Magrave`centj H ^e[BJUYOtildeOe[ H QcObLfcj^eJ H MeJaeligcentEgrave[]jO^NihlmVcentNPYZJU^ H JLhlZ WMQcbMeumlQcYUacuteNYYZaring[[ H MQsO[ H JLhlZ^KMeJtimesNSZOslashKfcQ H j^eJOtilde[SX H MeJyUPJUfc[BbLQ H maQcYiexclOe[PhlZaringNPfcQcurrenLJU^ centEgraveJ H WFJLJUOs NPO^ macrSmacre$YZjbdM H MN HTH MeJ OeJ[]N H QVUPJoU~NPfcjJUYIacuteNihZJ fR[WFJLh H MNPO f i`NPO^ H MeJKEgrave[]YZQ H QUPJ[]OJUYNihZJTMQ[]MeJLh H MNPOpoundf i^ J bLNPObn[]ZaringKNihZJ H MJ QcOQ H QsNPfUPJUfR[BbLQ H m[Pcent H NPQcOJU^jYZQcOF[ H MeJ bn[U~NihQsNPObnJZaringN H hdQk admacr s juWQ H M H MeJOtilde[]OeJOtilde[Pcent H NPQcOeJU^jYQcO[ H MeJordfUiNihQcNPObnJrega2Sj^KMeJordfXqNPbnJTQcYOe[ H WNtildeJUfsf9^eJ H JUb H JU^QcO H MeJUPJUfR[BbLQ H m[Pcent H NPQsOeJU^ajYQcO[ H MeJUiNihQcNPObnJa not Q[^ ^bjWMJLhZJUNPYIacuteQ H QcYIacutehZJUNPfcfmumlWNtildeJUfcfF^eJ H JUb H JU^QsO H MeJQcOQ H QcNPfUPJUfR[WbLQ H m7jYZQcOF[ H MeJbn[iVUiNihQcNPObnJpoundZ N H hQk a not QV[^ ^currencentj^_MeJ UPJUfR[WbLQ H m [Pcent H NPQcOeJU^ jYZQsO[ H MeJumlU~NihdQcNPObnJ^e[BJUYOe[ H NPfsfR[W NPOJltz bLQRJUO H YJ[]ZOslashJUO H N H QR[]O`[SX H MeJyXiacuteNPbnJauml[]O H MeJaumlbn[]O H hNihYm H [H MeJIacutebn[UiNihQcNPObnJlaquoZaringN H hQk^eJ H JLhZaringQcONPO H WMQsbM H N`PJUYUacuteNP^UiNPO H N[PJaelig[SX H MeJtimesbn[]fR[PhQcOFX[PhlZ N H QR[]OO^macr^ ^WVFEumlETH=gtNtildeFETH32EacuteltOacuterETHEacute`0Ntilde=KIgravek8ltIgraveFETHIgrave5=KETH32EacuteltOacute~2Oacute+(8ltIgraveEacute IcircIgrave5euml1IgraveFOacute=KIgraveIcircMJa^eJUYZbnhQcK H [PhYOslashcentNPYZJU^[]O H MJ`bn[UiNihQcNPObnJZaringN H hdQkNihJ`QZOslashK-fRJZOslashJUO H JU^ H [^eJ H JUb H MBjFZaringNPO XqNPbnJUYQcO UWQc^eJL[OacuteYJBjeJUObnJUY^MQsYaring^eJ H JUb H QR[]OegraveZaringNm cent=J`jYJU^Xiacute[PhtUWQc^eJL[ bn[B^QcO[ H [JUObn[W^eJYJUfcJUb H QVUPJUfVm H MeJOacuteMBjFZaringNPOegraveXqNPbnJS^ not [Ph`N []QVUPJUObn[]ZOslashKhZJUYZYZQR[]OOacutehN H QR[e H MeJoXiacuteNPbnJbLNPO7cent=J H hNPOYYZ Q HH JU^bWiexclQ H MN MQV[]MJLhThN H J H [H MeJ^eJ H hdQZOslashJUO H [SX H MeJcentNPbl`[Ph[]jO^O^uMQsY QsO H JLhZJUY H QcO[KhZ[PKEgraveJLh H m QcYUiNPfcjWVNicentfcJuX[PhUBQc^JL[Bbn[]OXiacuteJLhZJUObnJUYe]WMeJLhZJ H MeJ ZOslash[]Y H QZOslashKEgrave[Ph H NPO H NPO^regZOslash[]Y H U~NihdQcNicentfRJQcOFX[PhlZ N H QR[]OQcYfR[WbLN H JU^ []O H MJordfXiacuteNPbnJaq 5ZOslash[]Oe[]j`NPO^tUacutejMNSZaringJUfde sSsSs j^ J QcOQ H QcNPfcQVcurrenLJ H MJhdY H XiacutehNSZOslashJoWQ H M7N`bLQchbLfRJ QsOYZQc^eJ H MeJXqNPbnJ H [ H hNPbY`K^MJUOOeyacuteWFJsup1ZaringN`PJ H MeJNPb H QVUPJ7bn[]O H []jeheumlJUP[]fVUPJjYZQcOF[admacr s jeiexclWQ H MX8ordfaOgravejxaacuteILK KafUgravemiddot cent j^ltMeJregONPfybn[]O H []jehtimes[SX H MeJ bLjehZhJUO H QZaringN[PJ QcY H MeJUOOacutebdMe[]YJUO7NPYNPO QcOQ H QcNPfbLjhYUPJordfX[Ph H MJUacuteOJk H QZaringN[PJS^FMeJOtildeNPfV[P[PhQ H MFZMNPYcentEgraveJLJUOKEgraveJLhYXiacute[PhlZOslashJU^[]OYJUPJLhdNPf$YJjJUObnJUY^MeJaelighZJUYjf H Y5X[Ph H MJaeligYZJjeJUObnJpoundn5JLhQV`p NihJordm[]QVUPJUOQcOnot QV[^ethz^shyMeJaringKNihNSZaringJ H hZJ bMNPYaumlcentEgraveJLJUOYZJ HaumlH [sup1f s ^QMeJordmXqNPbnJ QcYordfWFJUfcfy^J H JUb H JU^NPO^ H hNPbY`PJU^times[]O H MJ|WMe[]fcJyYJjJUObnJS^MJyhZJUYZjf H YOX[Ph H MeJNtildeYZJjeJUObnJnN`WQVmP[]p

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ macrNihZJy[]QVUPJUO`QsO not QV[^ i^ JaeligbMe[B[]YJbaacute s ^ JtimesbLNPO`YJLJ H MN HH MeJXiacuteNPbnJaeligQcYuWFJUfcf^eJ H JUb H JU^aJUPJUOaQVX H MeJaumlbn[]fR[Phiexcl[SXMJLhYZMQRh H QsY(bLfR[]YJ H [ H MJgXiacuteNPbnJIacutebn[]fR[Ph^

YOEAEligMgtIltROgravesup3PshyAtildeT13MKI5O H MQcYKNiKEgraveJLheuWNtildeJKhZ[PKEgrave[]YJN OeJW 0jfRJLhQcNPOAumlZaringQsOQZaringQVcurrenUN H Qc[]OAumlZOslashJ H Me[W^ H [bn[]ZOslashK-j H J H MJUPJUfR[WbLQ H mpoundUPJUb H [Pharing[SXNPONPb H QVUPJ bn[]O H []jeh H MN H JUOYZjehZJUYtimesQ H WQcfcfJUP[]fVUPJ NPYordfXiacuteNPY H NPYOtildeKEgrave[]YZYZQRcentfcJ H [WNih^YIacuteNZaringQcOQCZIacutejFZ [SXN bnhQ H JLhQR[]OeumlQcObLfcj^QcOF[centEgrave[ H MUacutehZJ[]QR[]OeVcentNPYJU^TNPO^OtildecentEgrave[]jO^NihYmVcentNPYJU^ H JLhlZ Y^ q jehgNiKKhZ[]NPbMIacuteQcYcentNPYZJU^Otilde[]OYZMNiK=J[PK H QZaringQVcurrenUN H Qc[]OOslashKhQcObLQRKfRJUY$NPO^ QcYyKEgraveJLhYXiacute[PhlZOslashJU^ QcO H MehZJLJ5ZaringNPQcO Y H JLKYaringf^ltO H hZ[W^jb H QR[]O[SX$NOslash^mWONSZaringQcbLNPfYbMeJZOslashJIacuteQcO H MeJTbnhQ H JLhQR[]OOe ^vF[]ZOslashKj H N H Qc[]Oaelig[SX H MeJ_0jfRJLhdQcNPOaelig^eJLhQVUiN H QVUPJ[SX H MJbnhQ H JLhQR[]OOslashjYZQcO[OtildeYZMNiKEgraveJ

[PK H QZaringQVcurrenUN H Qc[]O H [[]fcYe^vF[]ZOslashKj H N H Qc[]Oa[SX H MeJtimesJUP[]fcj H Qc[]OaJBjN H QR[]O`[SX H MeJaeligNPb H QVUPJtimesbn[]O H []jehiexclXiacutehZ[]ZH MeJT^eJLhQU~N H QVUPJS^

iexcl Ntilde _ cent G NPfcfR[WY H [hJUNP^QcfVm H N`PJNtildeQcO H [NPbLbn[]jO H9H MeJybLNPYJ0[SXBhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H^eJUYbnhQRK H [PhY H MN H NihZJo[]fR[PcentNPfcfVmN HH NPbdMeJU^ H [ H MeJ JUP[]fVUWQcO[ hZJ[]QR[]OYtimesNPO^Y[H MN H UiNihYm^jehQsO[ H MJaumlKhZ[PKN[]N H Qc[]O [SX H MJaumlbLjehYUPJS^ JTYMe[W H MN HH MeJgUiNihQuVN H QR[]O [SX H MeJUYJ^JUYZbnhQRK H [PhdY QsO^jbnJUYNP^^Q H QR[]ONPf H JLhlZaringYQcO H MeJeumlJUP[]fcj H QR[]OJBjN H QR[]Oeuml[SX H MeJaringNPb H QVUPJ bn[]O H []jeh^MJUYJ H JLhlZaringYgZtimesjY H Oe[ H centEgraveJlaquoX[Phl[P[ HH JUOQcO[Ph^JLh H [ hZJUNPbMeumlN H hjeJZ QcOQZtimesjFZ[SX H MeJtimesbnhQ H JLhQc[]OaNPYUacuteQ H MNPYcentEgraveJLJUOKEgrave[]QcO H JU^[]j H QsOJkBKEgraveJLhQZaringJUO H NPfEgravehZJUYjf H Y^

Yfrac34XiacuteNiheumlNPYeumlMe[]ZOslash[S[PJUOeJL[]jYeumlbn[]fR[PheumlhZJ[]Qc[]OY`YZJ[]ZOslashJUO H N H Qc[]OQsY`bn[]ObnJLhdOeJU^OeWFJKhZ[PKEgrave[]YJ H MeJ`bn[U~NihQsNPObnJfrac34ZaringN H hdQk^eJ H JLhlZaringQcONPO H NPY N^eJUYbnhQRK H [Ph^MQcYY H N H QsY H QcbLNPfhZJ[]QR[]OeV4^eJLKEgraveJUO^eJUO H ^JUYZbnhQRK H [PharingNiKK=JUNihdY H [centEgraveJN UPJLhlm7hJUfRJU~NPO HH [B[]fampNPO^eumlY[ Q H MNPYUacutecent=JLJUOeumlYZjbLbnJUYZYXqjfcfVm NiKKfsQRJU^ H [XqNPbnJaring^eJ H JUb H QR[]OQcOfrac34UWQc^eJL[YJBjeJUObnJUY^

iquest acuteraquoacuteLacuteIltR]acuteAtildeagraveIgravefrac14dEcircsup1Atilde5AringiquestLmiddotNtildeIumliquestUumlgIumlUTHORNampAtildeEacutecedilAtilde5AringAcircnAtilde|iquestaacuteIacuteIumlIZEgravefrac14Zcedilfrac12frac14dAringiEcirc]iquestfrac14draquoiEcirc[NtildeIumlagraveAringEacutePAtildecedilwAacute4] uacute_^J^J^ iquest)` igraveraquoLCcedilfrac14cedil4Ecircfrac14draquo~Ecirc(Auml|AringAacuteCcedilfrac14Zcedil4Ecirc

Agrave5AringcedilAcircnAtilde$AtildeAcircnAuml|frac12AringAacutesup1AumldraquoTAringAEligwsup1raquo~ordm(frac12Atilde5AcircnAtilde5frac12AEligwAtildeAacuteampIgrave(Atilde AacuteIcirc~AumlUEcircSaIumligraveraquo13] x4~rv p4PldrRtcoPl|Egraveod5v pv i4vodaumlx4shyl not vsectpqo v tu not Iumlcb$Auml|EacutePAtilde|iquestednfrac14Oumlifrac14draquoIuml

agraveIgrave(Aumldraquo~Auml|Aringiquest~igrave4IumlPfrac14raquoiEcircfWIumliTHORNampAringIcircifrac14Igrave(Atilde5frac12G] divideugrave|ugrave|ugrave iquest` igraveAacuteAtildecedil4frac14ZAacutesup1Acirc|AtildeNtildeEacute~frac14dAgrave4UgraveUCcedilEgravefrac14cedil4EcircUacuteAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoUacuteOgraveregAumldcedilIcirc~sup1Atildecedil4frac14cedilAgrave4Icirc~sup1currenEumlAgravefrac14dfrac12=CcedilEgravefrac14AcircnAtilde5frac12AtildeAacutesup1Igravefrac14ordm|AtildeAgrave5AumlUEcircsup1raquo~ordmIaIumlaeligigraveiacuteraquoS] x4rv p ildrRtcodil|ampod5v pv P4vOtildeodOslashx4shy(l not vFsectpqo v tu not Iumlg frac14raquo~Agrave5AumldAring~AcircnAtildecediliquestehEgravefrac14raquoifrac14|Ecircfrac14Iuml

agraveAringEacutePAtildecedilwAacuteiquest[NtildeIumlWfrac14raquoiEcircifWIuml13b$Aumldcedilraquo~OumlcedilAuml|EacuteAEligqAacute4] divideugrave|ugraveuacute iquestkj ldrregv shy(ldrRtcl|ipwonm5v shyNtildetuOslashtushyl not vampipwo4v tu not sect9ldp4rRtcl|Egravedt lv pv ~rRtRl|9vDm~lrRtcod~ldiTrreg~vUacutel| Uiexcloqnldp4tcldrRtRod~ iquestpoAumlIuml uacute_qEr IumlOslashagrave9Ouml~Oumlfrac12sup1AtildeEcircaacuteUacutefrac14AacuteIcirc~AtildeIgravefrac14Aacutesup1Agravefrac14dfrac12BatildeAgravesup1Atilderaquo~Agrave5Atilde5AElig5iquestPatildeOumlcedilsup1raquoordm|Atildecedil g Atildecedilfrac12frac14dordmIumlhEgravefrac14dAEligwAtilde5frac12frac12Atilde5AElig5iquest g Iumliquest~szlig0Iumleb$sup1Igrave(Igrave(Atilde5frac12Riquestifrac14raquoiEcirc[NtildeIumlatildefrac14dOumlsup1cedilAumlI] uacute_^J^Er iquest`s[Atilde5AumlUEcircAtilde5AEligwsup1AgraveFfrac14dAgraveAacutesup1AcircnAtildeyAgrave5AumldraquoUAacuteAumldAringcedilAElig_aIuml x4~rv p4PldrRtcodPldpoundUodUp4Pl|WoqodshyiUrv paumlumltutcodutet13v uacute+w iquestex uacuteyIrz^ Iuml

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CBh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34LiquestBagraveyIumlWfrac14raquoiEcircidIumlBTHORNampAringraquo~Agravefrac14raquo13] uacute4^z^J^ iquest`[ampfrac14Igrave(AtildeEumlcAacuteIcirc~Atilde5AumlcedilAtildeAacutesup1Agrave(sup1raquoUAacuteAtildeordmdcedil4frac14Aacutesup1AumldraquoaeligOgraveuAumldcedil0sup1Igravefrac14dordmdAtildeAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIuml xQ|||~pwl~ lnrRtcodNtildeodiexclsect9lrRrv p auml9Pl| ~tuyldi j l|4Utu]vx4~rvreg t not v P4v Iumlh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34Liquestgagrave0IumliquestIumlgatildeUAacute4frac14dsup1Eacuteiquest9frac14draquoiEcircdIuml9THORNampAringraquo~Agravefrac14raquo13] uacute_^J^ xiquest` THORNampAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeIacuteEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34iraquo~Ecircsup1raquo~ordmsup1raquoIgrave(AtildeEcircsup1Agravefrac14frac12iexclsup1Igravefrac14ordm|Atilde5AEligaringEacuteLfrac34Oacutesup1raquoLAacuteAtilde5ordmcedil4frac14Aacutesup1raquo~ordm ordmdcedil4frac14|Ecircsup1Atilde5raquoLAacute frac14raquoiEcirccedilAtilde5ordm|sup1Auml|raquo sup1raquoOgraveuAumldcedilIgravefrac14ZAacutesup1Auml|raquo13aIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu notI iquesteE ^4y rdugrave Iumlh=Icircifrac14raquoiquestBETHIumlWfrac14raquoiEcircIuml g Atilde5AEligwAtildeJ] dividedugravedugraveuacute iquest` agraveAgraveAacutesup1AcircnAtildeFAgrave5Auml|raquoLAacuteAuml|AringcedilAElig$Ccedilgsup1AacuteIcircAuml|AringAacuteNtildeAtilde5Ecircordm|AtildeAElig_aIuml xQ||k|~pwld lnrRtcododUacutex4shy(l not v9sectpqo4v 4tu notuU v divideJw iquest divide xJx ydividezrJr Iumlh=Icirc~Atilde5AEligwraquo~frac14dAring~EcirciquesthIumliquestfWIuml=szligAtildeOgraveYacutecedilIAtilde5ordm|sup1Atildecediliquestfrac14draquoiEcirc g Iuml5Z=AumldAring~frac12AtildeAacute4] uacute_^J^z^ iquest`currenatildeUAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12cedilAtilde5ordmdsup1AumldraquoAEligwraquoifrac14dUgrave|AtildeEumlsEacuteifrac14dAEligwAtilde5EcircAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquofrac14|Ecircfrac14dOumlAacuteAtilde5EcircFAacuteAumlyEcircsup1s]AtildecedilAtilde5raquoLAacute-Ouml~IcircLfrac34AEligwsup1Agrave5frac14dfrac12~raquoAuml|sup1AEligwAtilde9Igrave(AumlUEcircAtilde5frac12AElig_aIuml xQ||k|~pqld~ lnrRtco~$osect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4vt iquest uacute|uacute_q y~uacute|uacute xIumlh=Auml|IcircAtilde5raquoiquestIuml] uacute4^z^uacute iquest`currenmiddotraquofrac14dAgrave Aacutesup1Acirc|Atilde Agrave5AumldraquoLAacuteAuml|AringcedilIacuteIgrave(AumlUEcircAtildefrac12AEligtimesfrac14draquo~EcirceumlEacuteifrac14dfrac12frac12AumlLAuml|raquoAElig_aIuml odshyiUrv pumltutcod pwl Utc0ldix4shyl not vsectEgravepwo4v tu not x4shyl not vOtildePnv p rsldidtu not) iquest divideUuacuteduacuteydivideLuacute UIumlh=Auml|IcircAtilde5raquoiquestSIumliquestUumlIuml13ZEgravefrac14cedil4Ecircsup1raquo~AtildeAacuteiquestfrac14raquoiEcircoNtildeIumlagrave9frac34Lfrac14dAgrave4Icirc~AtildeJ] uacute_^J^z iquest`atildeUAringcedilwOgraveufrac14dAgrave5Atilde0cedilAtilde5Agrave5Auml|raquoAEligqAacutewcedilAring~AgraveAacutesup1AumldraquotimesAring~AEligwsup1raquoordmfrac14AgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilaumlIgrave(AumlUEcircAtilde5frac12AElig_aIuml igraveiacuteraquoS] Lsect=xQ|od5v pv P4v od vwodshy(v rRp tc j v rregodtimestuodshyiUrv pumltutco Iuml~atildefrac14raquoUacuteTHORNampsup1Atilde5ordm|AumliquesthEgraveagraveyIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquestEgraveUumlIuml] dividedugrave|ugravedugrave iquest`currenatildeAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquo Ouml~frac14cedilAgrave5Auml|raquoLAacuteAuml|AringcedilAEligUacutefrac14AgraveAacutesup1currenOgraveuAEligUacuteAtilde5raquosup1Igravefrac14dordmdAtildecedilsup1AtildeIacuteIgraveAtilde5Ecircsup1Agravefrac14dfrac12AtildeIacuteEcircfrac34UEumlraquoifrac14dIgrave(sup1ecircLAring~Atilde]ampfrac14Ouml~Ouml~frac12sup1Agravefrac14ZAacutesup1AumldraquoAtilde5raquoeumlAgravefrac14Zcedil4Ecircsup1Auml|frac12Auml|ordmdsup1Atilde raquoUAring~Agravefrac12Atilde5frac14dsup1currencedilAtildeJaIumlfIcircIuml THORNFIumlAacuteIcirc~Atilde5AEligwsup1AElig5iquestraquo~sup1AcircnAtildecedilAEligwsup1currenAacutefrac34`AumlOgraveosup1Agrave5AtildeEumliacuteatildeAumldOuml~Icircsup1Yacutefrac14NtildeagraveraquoLAacutesup1OumlPAuml|frac12sup1AElig5iquestPeacutecedil4frac14raquo~Agrave5AtildedIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquest|UumlIumliquestUaacuteIacuteIumlEZEgravefrac14cedilfrac12frac14dAring~Ecirciquest[NtildeIumlLagraveAringEacutePAtildecedilwAacuteiquest|frac14draquoiEcirc dIumlnTHORN$frac14ZcedilAgrave5Auml|AringcedilwAacute4] divideugrave|ugraveUuacute iqueste`currenatildeOuml~frac14dAgrave5AtildeEgraveAacutesup1Igrave(AtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14EumlAacutesup1AumldraquoUacuteAring~AEligwsup1raquoordmfrac12Atilde5AcircnAtilde5frac12AEligwAtildeAacutefrac14dAgraveAacutesup1AcircnAtilde$AgraveAuml|raquoLAacuteAuml|AringcedilAEligfrac14Ouml~Ouml~frac12sup1AtildeEcirciexclAacuteAumlFIgraveNtildefrac34LAumlLAgravefrac14Zcedil4Ecircsup1frac14dfrac12ordmnfrac14ZAacuteAtildeEcircOtildeatildeIf-UumlkhEgraveETHaIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu not t v rJw iquest)x qJ+y xJ ^ Iuml

THORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquest13iexclNtildeIumlfrac14draquo~EcircdIumlWaacuteAuml|raquoLAacute4frac14ordm|raquoifrac14ZAacute4] divideugrave|ugraveUuacute iquest` ETHBAumldOumlPAuml|frac12Auml|ordmfrac34Oslashfrac14raquoiEcircIacuteAEligwIcirc~frac14dOumlPAtildeAgraveAuml|raquo~AEligqAacutewcedil4frac14sup1raquoUAacuteAEligyAumldraquotimesOumlifrac14Zcedil4frac14EumlIgrave(AtildeAacutewcedilsup1AgraveOslashfrac14dAgraveAacutesup1AcircnAtildearingAgrave5AumldraquoLAacuteAuml|AringcedilAElig_aIuml odshy~rv pumltutcodldP x4shy(l not vPLv p4rsldPtu notcent) v divideJw iquestuacute_qnugrave4yiuacute4rUuacute Iuml[Auml|Igrave(Atilde5AElig5iquestpounddIumlfrac14draquo~EcircaringmiddotNtildeIumleacuteifrac14Aring~ordm|Atilde cedil4frac14dAElig_] divideugrave|ugrave|ugrave iquestcurren` szlig9Atilde5Agrave5Aumldraquo~Agrave5sup1frac12sup1raquo~ordmIacuteEcircsup1AEligqAacute4frac14draquoAgrave5AtildeOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligfrac14draquo~Ecircaeligfrac12Atilde5AcircnAtilde5frac12EgraveAEligwAtilde AacuteAElig_aIumlpoundUodUp il|WoqUacuteumltul|-odshyNtildeshyFU~tR4lrRtcodTldix4shyl not vampgvipv v rsldrRtcod ) iquest dividedugravez^+ydivideddividez Iuml[cedil4frac145frac34LiquestszligyIumliquestdIumlyen-Auml|Aringraquo~ordmiquestampfrac14raquoiEcircagrave0Iumlampagravesup1currenfrac34LAtildecedil4] dividedugravedugraveuacute iquest `aacutesup1raquosup1IgraveNtildeAring~Igrave Ecircsup1AEligwAgrave cedilsup1Igrave(sup1raquo~frac14Aacutesup1Auml|raquosup1raquoOgraveregAumldcedilIgravefrac14Aacutesup1AumldraquoAgrave5frac12Aring~AEligqAacuteAtildecedilsup1raquo~ordmI]Igrave(AumlUEcircAtilde5frac12sup1raquo~ordmTfrac14raquoiEcircOslashecircLAringifrac14raquoUAacutesup1Ocircfrac14ZAacutesup1Auml|raquoOslashCcedilgsup1currenAacuteIcirc ordm|frac14dAringAEligwAEligIgrave(sup1currenicircAacuteAringcedilAtilde5AElig_aIumlTigraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquest=atildePIumliquest=aacuteIacuteIumlkZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestEgravefrac14raquoiEcirc[NtildeIuml=agrave9Aring~EacutePAtildecedilwAacute4] dividedugrave|ugraveUuacute frac14Uiquest` agrave EumliacuteatildeUAacuteAtilde5Ouml frac14dfrac12ordm|Aumlcedilsup1currenAacuteIcirc~IgraveAring~AEligwsup1raquoordmcedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtilde=Agrave5Auml|raquoLAacuteAuml|AringcedilAEligeOgraveuAumldcedilAcircUsup1EcircAtilde5AumlAuml|EacuteUbrvbarqAtilde5Agrave AacuteAElig=EcircAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoSaIuml~igraveraquo13]psect xw j x4 sect odpDumlqo odUacutex4shy(l not v9Pl| ~tu5op j rRtushyvwdtclNtildex4rv pwlnrRtKndvy]v pntc4v IumliETHWfrac14dIgrave(OumlPAtilde cedilAtilde|iquestieacuteWsup1raquofrac12Yacutefrac14raquoiEcirc]Iumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquestUatilde]IumliquestUaacuteIacuteIumlUZ=frac14cedilfrac12frac14dAring~EcirciquestUfrac14raquoiEcirccopy[NtildeIumlUagrave9Aring~EacutePAtildecedilwAacute4] dividedugravedugraveuacute EacuteiquestA` szlig9Atilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14AgraveAacutesup1AcircnAtildegAgrave5Auml|raquoLAacuteAumldAringcedilAEligOgraveuAumldcedilAcircUsup1YacuteEcircAtilde5AumlaringAuml|EacuteUbrvbarqAtilde5Agrave AacuteOtildeAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo Ccedilgsup1currenAacuteIcircaAgrave5frac14dIgrave(Atildecedil4frac14OslashAgrave5AumldIgrave(OumlPAtilde5raquo~AEligfrac14ZAacutesup1Aumldraquo13aIumligraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquesteatilde]IumliquestWaacuteIacuteIumlZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestefrac14draquo~Ecirc[NtildeIumlBagraveAring~EacutePAtilde cedilwAacute4] divideugrave|ugraveuacute Agrave|iquestk` g sup1EcircAtilde5AumlUacuteAuml|EacuteUbrvbarqAtildeAgraveAacuteFAEligwAtildeordm|Igrave(Atilde5raquoLAacute4frac14Aacutesup1AumldraquoAring~AEligwsup1raquo~ordmIacuteAtilde5Aring~frac12Atildecedilsup1frac14draquo cedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAElig_aIuml igraveiacuteraquoS] x4rv p ildrRtcodil|yodv pwv P4vIacuteoodshyiUrv paumlumltutcod Iuml g frac14draquoAgrave5Auml|AringAcircnAtildecediliquestehEgravefrac14draquo~frac14|Ecirc~frac14UIumlbyfrac14dAEligwAElig5iquesteaacuteIacuteIumliquestWagrave0Iuml Ucirc sup1currenAacuteUgravesup1raquoiquestWfrac14raquoiEcirctimesTHORNFIumlWETHBAtildecedilOcirc5AumldOumlPAuml|Aringfrac12AumldAElig_] uacute4^ JUiquestk`currenatilderaquoifrac14UgravenAtilde5AElig_]WagraveAgraveAacutesup1AcircnAtilde(Agrave5AumldraquoLAacuteAuml|Aringcedil0Igrave(AumlUEcircAtilde5frac12AElig_aIumlx4~rv p4PldrRtcoPl|WpoundUop4PldWoqodshyiUrv pTumltutcod iquest ndivideUuacuteyUzndivide Iuml

aacuteUacutefrac14dfrac12frac12frac14|Ecircsup1ciquest~szlig0IumliquestedIuml]atildeUAtildeAacuteIcirc~sup1frac14raquoiquest~frac14draquoiEcircZIuml g Atilde5IgraveNtildeAringcedilsup1G] uacute4^z^ UiquestS`atildeUIcircifrac14OumlPAtilde$Igrave(AumlUEcircAtilde5frac12sup1raquo~ordm0Ccedilgsup1AacuteIcirciexclOgraveregcedilAuml|raquoLAacuteOumlcedilAumldOumlifrac14dordm|frac14EumlAacutesup1Aumldraquo13]nfrac14ampfrac12AtildeAcircnAtilde5frac12AEligwAtildeAacuteEgravefrac14Ouml~OumlcedilAumlnfrac14dAgrave4Icirc13aIuml xQ|||~pwld lnrRtcodampodsectgldrRrv p 9Pl| ~tu9ldP j ln4Utreg]vx4~rvu t not v i4v Iordf iquest uacute z yiuacute+r UIuml

aacuteUacutefrac14draquoAEligwAuml|Aringcedilsup1Riquestagrave0Iumlfrac14draquo~EcircdIumlb$Auml|raquocedil4frac14|EcircS] uacute_^J^J^ iquestlaquo`currenaacuteAumldAacutesup1AumldraquoAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo`Ccedilgsup1currenAacuteIcirceumlfrac12Atilde5AcircnAtildefrac120AEligwAtilde AacuteAElig_aIuml igraveraquo13]x4~rv p4PldrRtcoPl|=ov pwv P4vNtildeodUacutex4shyl not vsectEgravepwo4v tu not Iumlcb$AumldEacutePAtilde|iquestednfrac14dOuml~frac14draquoIuml

aacuteAuml|raquoLAacute4frac14dordmdraquoifrac14ZAacuteiquestdIumliquestziexcl0IumlTHORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquestdfrac14draquo~EcircoNtildeIumlZagravegfrac34Ufrac14dAgrave4Icirc~AtildeJ] dividedugrave|ugraveUuacute iquest` agraveOslashcedilAtildeAcircsup1AtildeCcedilaeligAumldOgravePEcircAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeAEligwAringcedilwOgraveufrac14dAgrave5AtildeAElig_]AacuteAuml|OumlPAuml|frac12Aumldordmdfrac34Liquestgordm|AtildeAuml|Igrave(AtildeAacutewcedilwfrac34frac14draquoiEcirc EcircAtildeOgraveuAumlcedilIgravefrac14Aacutesup1Auml|raquoSaIuml x4shyl not vtimesldiOacuteumltutcododshy~rRtreg not0Inot v uacute_qw iquestuacuteugravendivide+y~uacuteugravezq|ugrave Iuml

aacuteAring~IgraveOgraveregAumldcedil4Ecirciquest=THORNFIumlgfrac14raquoiEcircdIumlatildeIcirc~frac14dIcircS] uacute4^ ^ iquest`currenmiddotOumlAacutesup1Igravefrac14frac12$frac14dOumlOumlcedilAumlicircsup1Igravefrac14Aacutesup1Auml|raquoAEligEacuteLfrac34Oumlsup1AtildeAgrave5AtildeCcedilgsup1AEligwAtildetimesAEligwIgrave(AumlLAumlAacuteIcircOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligFfrac14raquoiEcircOslashfrac14dAEligwAEligwAumlLAgravesup1Yacutefrac14ZAacuteAtildeEcircaringAcirc|frac14Zcedilsup1Yacutefrac14ZAacutesup1Auml|raquoifrac14frac12EgraveOumlcedilAumldEacute~frac12Atilde5Igrave(AElig_aIuml odshyNtildeshyFU~tR4lrRtcod~oaeligsectEgraveUpvUacuteldiEgraveni tsvw j ldrreg~v shy(lrRtccurrenshyt iquest rzr4y xJ q Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfa

yenKbrvbarsect =4 acirc $ zmiddotAEligwIcirc~AtildecediliquestdatildePIumlfrac14draquo~EcircdIumlnatildeAtilde AacuteIcirc~sup1frac14draquoS] uacute4^ ziquest` eacutecedilAuml|raquoLAacuteAEligeOumlcedilAumldOumlifrac14ordmnfrac14Aacutesup1raquoordmCcedilgsup1currenAacuteIcircFAgrave5AringcedilAcirc|frac14ZAacuteAringcedilAtildeEumlEcircAtilde5OumlPAtilde5raquoiEcircAtilde5raquoLAacuteBAEligwOumlPAtildeAtildeEcircS]

agravefrac12ordm|Aumlcedilsup1AacuteIcircIgrave(AEligEacute~frac14dAEligwAtildeEcircaumlAuml|raquoiexclampfrac14Igrave(sup1frac12AacuteAumldraquoEumldnfrac14Agrave5Auml|Eacutesup1eacute~AumldcedilIgraveNtildeAring~frac12frac14Aacutesup1Auml|raquoSaIuml poundUodUp4Pl|oqiexcloshyiUrsldrRtcoPl|sect=U~tc ordfenot iquest uacutedivide4yEqE^ Iumlfefrac14cedil4frac14ordm|sup1Auml|AElig5iquestoNtildeIumlfrac14draquo~EcircIacuteszligyIuml]THORNampAtildecedilsup1Agrave4Icirc~AtildeJ] uacute4^z^J^ iquest`s[Atilde5AumlUEcircAtildeAEligwsup1Agravefrac14AgraveAacutesup1AcircnAtildeFcedilAtilde5ordmdsup1Auml|raquo~AElig$OgraveregAumldcedil0Igrave(AumldAacutesup1Auml|raquoTAtilde5AEligqAacutesup1Igravefrac14Aacutesup1Aumldraquofrac14draquoiEcircAacutewcedil4frac14dAgrave4UgraveUsup1raquoordmAaIumligraveiacuteraquoS] x4rv p ildrRtcodil|-ov pwv P4vFodOslashodshyiUrv paumlumltutco Iumleh=AumldcedilwOgraveregAringgt[cedilAtilde5Atilde5Agrave5Atilde|Iumlfefrac14AacuteAtilde5Aringicirc]iquestatilde]Iuml] dividedugravedugrave|ugrave iquestpound`currenatildeOuml~frac14Aacutesup1frac14dfrac12AEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoTAumldOgrave=Agrave5Auml|frac12Aumlcedilysup1Igravefrac14ordm|Atilde5AEligampfrac14dAgrave5Agrave5Aumlcedil4Ecircsup1raquo~ordmAacuteAumlUacuteaacuteTHORNaringOgraveregAumldcedilIgravefrac14dfrac12currenEumlsup1AEligwIgraveaIumlyigraveraquo13] x4~rv p4PlrRtcodPld=od5v pv i vodododpFtu pwl4UtcldPx4shyl not vysectpqo v tu not Iumlatildefrac14dsup1raquoLAacute UumleAacutesup1Atilderaquo~raquo~Atildediquestieacutecedil4frac14raquo~Agrave5AtildedIumlfcedilAtildeAgrave5sup1Auml|AEligwAumliquesteacute=IumlEgravefrac14raquoiEcirc aacuteIacuteIumlcurrenZEgravefrac14cedilfrac12frac14dAring~EcircS] dividedugrave|ugraveUuacute iquest` Z-EumliacuteatildeUOuml~frac12sup1raquo~Atildeaumlfrac14dAgrave Aacutesup1Acirc|AtildeOtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAEligOgraveregAumldcedilOgraveRfrac14AEligqAacuteAcircUsup1EcircAtilde5AumltimesAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIumlOacuteigraveraquo13] x4rv p ildrRtcodil|od5v pv P4vaeligod x4shy(l not vUacutesectpqo4v 4tu not IumlETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1Riquest[cedilAtilde5Atilde5Agrave5Atilde|Iuml

szligAumldraquoOgraveufrac14cedil4EcirciquestszligyIuml] uacute_^J^q iquest` szlig9Atilde5ordmdsup1AumldraquoEumlsEacuteifrac14AEligwAtildeEcircFAEligqAacutewcedil4frac14ZAacuteAtilde5ordm|sup1Atilde5AEligeOgraveuAumlcedil-frac14dAgraveAacutesup1AcircnAtildeEgraveAgraveAuml|raquoLAacuteAuml|AringcedilIgrave(AumlUEcircAtilde5frac12AElig_aIuml x4~rv p4PldrRtcoPl|poundUodUp il|WoqodshyiUrv paumlumltutco I v dividezw iquest divideddividez^+yUdivide uacute Iuml

atildefrac14Igrave(AEligwAuml|raquoiquestzhIumliquestzIumlzZ=frac12frac14raquo~AgraveEumleacuteAtildecedil4frac14AringiEcirciquestJ[NtildeIumldagraveAringEacutePAtildecedilwAacuteiquestfrac14draquo~Ecirc dIumlJregPAtildecedilAring~Eacutesup1frac14I] dividedugravedugrave|ugrave iquest` agrave frac12Atilde5Acirc|Atilde5frac12UAEligwAtildeAacuteIgrave(AumlUEcircAtilde5frac12nOgraveregAumldcedilsup1Igravefrac14ordm|AtildeAgrave5frac12frac14dAEligwAEligwsup1siAgravefrac14ZAacutesup1Auml|raquo13aIuml x4~rv p4PlrRtcodPldpoundUodUp4Pl|BoqNtildeodshyiUrv pOtildeumltreg4tRod shy v Ew iquest uacute r4y~uacute4^Er Iuml

atildefrac14raquo~ordmdCcedilgsup1raquoAtilde|iquest9atilde]IumlEgravefrac14draquo~Ecircszlig0IumlampiexclAumldcedilraquoAtilde v Atilde5EcircAElig5Iuml w ] uacute_^J^ Uiquest ~vIacuteo|odUpaumltushyl not vipqo4v 4tu not ldP|m4oo4uml Iumlh=Icircifrac14dOumlIgravefrac14draquodegmacriexclampfrac14dfrac12frac12RIumlatildeAtildeAacuteIcircsup1frac14draquoiquestdIumlplusmn] uacute4^z^|ugrave iquestU` oAringIgrave(Atildecedilsup1Agravefrac14dfrac12Ufrac14frac12ordm|Aumldcedilsup1currenAacuteIcircIgrave(AEligWOgraveuAumldcedilOumlcedilAuml|Oumlifrac14ordmnfrac14ZAacutesup1raquoordmsup1raquoLAacuteAtildecedilwOgraveRfrac14Agrave5Atilde5AElig_]Jiexclampfrac14dIgrave(sup1frac12currenAacuteAuml|raquoEumldnfrac14dAgrave5AumldEacute~sup1

AtildeecircLAringifrac14Aacutesup1Aumldraquo~AElig-frac14draquoiEcircAgraveAuml|raquo~AEligwAtilde cedilAcirc|frac14ZAacutesup1Aumldraquo(frac12frac14CcedilgAElig_aIuml poundUodUp4Pl|]oqEgraveyen$t lv pv rRtcl| voshyv rRp~ iquest uacute4Uuacutey~uacute x uacute IumlatildeAtildeAacuteIcircsup1frac14draquoiquestAdIuml] uacute4^J^ xiquest kWvndvB]v r j v rregod IumlcurrenhEgravefrac14dIgraveNtildeEacutecedilsup1EcircordmdAtilderaquosup1AcircPIumlAfecedilAtilde5AEligwAElig5Iumlatildesup1Ecirc~Ecircsup1ecircUsup1Riquest4bIumliquest_yenNtildeIumlBfrac14Aring~Ocirc5sup1Gsup2AtildecedilAtilde|iquestagraveyIumlETHWfrac14draquoraquo~Atilde5raquoUEacute~frac14dAring~IgraveUacuteiquest5frac14draquo~EcircNtildeatildePIumlregPAring~Agrave4UgravenAtildecedil4] uacute_^J^ xUiquestE`currenagravegcedilAtildefrac149frac14draquoiEcirc$frac12Atilde5raquoordmdAacuteIcircyIgrave(sup1raquoEuml

sup1Igrave(sup1Ocirc5sup1raquoordm sup3iAumlCcedilgAEliggOgraveuAumldcedilAEligwIcircifrac14OumlPAtildeyAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo13aIuml xQ|||~pwl~ lnrRtcodoOtildex4shyl not vsectEgravepwo4v tu notordf v Ew iquest qEz+yqzqE Iumlyen=AtildeOcirc5Ocirc5sup1RiquestagraveyIumliquest5agrave0Iuml5ETHEgraveAEligfrac14dsup1Riquestfrac14draquo~Ecirc$agrave0Iuml Ucirc sup1frac12frac12AEligwUgraveLfrac34] uacute4^z^J^ iquestJ` agraveaeligAEligqAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12Ufrac14dOumlOumlcedilAumlnfrac14Agrave IcircampAacuteAumlgAEligwraquo~frac14dUgravenAtilde5AElig]OgraveuAumlcedilWEacutesup1Igrave(AumlUEcircfrac14dfrac12frac14draquoiEcircAacutewcedilsup1Igrave(AumlUEcirc~frac14frac12isup1Igravefrac14dordmdAtildecedilwfrac34aIumligraveraquo13] x4rv p ildrRtcodil|eodv pwv P4vyodx4shyl not vgsectpqo v tu not IumlAb$AumldEacutePAtildednfrac14dOuml~frac14draquoIumlreg]IcircUAringiquest]atilde]Iumlfrac14raquoiEcircaumlagrave0Iumleyen=Aringsup1frac12frac12AtildeJ] uacute_^J^ xUiquestpound` szlig9Atilde5ordmdsup1AumldraquotimesAgrave5AumldIgrave(OumlPAtildeAacutesup1currenAacutesup1Auml|raquo13]iAring~raquo~sup1currenOgraveYacutefrac34sup1raquoordmiexclAEligwraquo~frac14dUgravenAtilde5AElig5iquestPcedilAtildeordm|sup1Auml|raquoTordmdcedilAumlCcedilgsup1raquo~ordmiquestfrac14draquoiEcircZEgravefrac145frac34LAtilde5AEligacute|aacuteTHORNOgraveregAumldcedilIgraveFAring~frac12currenAacutesup1Eacuteifrac14raquoiEcirc sup1Igravefrac14ordm|AtildeTAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo13aIuml xQ|||micro~pwld lnrRtcodtimesosect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4v Icent iquesteJ q+yU^dugrave|ugrave Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfo

i $amp)(+-)013021+345627893lt=gt9A6CBfrac12OcircacuteIshyNT

frac12OcircacuteIltNTpara frac12frac34EMeJaumlQcYZYZjJUacuteQsY H [ ^QEgraveJLhZJUO H QcN H J H MeJordfXiacute[]fcfR[WQcO[Oslash^e[]ZaringNPQsOXiacutejOb H QR[]ONPfdaringocirc|adOuml times jOcircaacute uuml times a2atildeltszligaumlgtszliglOuml times j atilde auml

G QsObnJ H MJeumlYZJ H [SXIacuteNPfcfUacute^e[]ZaringNPQsOYMNPY Oe[ H N Y H hjb H jhZJ`[SXUPJUb H [PhQcNPfOtildeYZKNPbnJSefRJ H jYZ N`PJ H MeJeumlhZJ[]QR[]OYJUP[]fVUPJ H MehZ[]j[]M NrXqNSZaringQcfVm [SX H hNPOYYX[PhlZ N H QR[]OYa(|aagraveszlig jj emiddot iacuteaumlYlZOslash[[ H MaNPO^ centQ ~JUb H QVUPJS^ not [PhNOslashKEgrave[]QcO H $ aacute atildeshyszligaumlN eFWFJTOe[ H JSaring$ aagravej|aacutemiddot|aagraveszlig $ j WiexclQ H M |a s szlig $ jaacute $OumlcopytimesaagravejOcircaacutemiddot|aagraveszliglOumlutimesdj WiexclQ H M |a s szliglOumlcopytimesAjOcircaacuteAumlOumlutimes9J H jY H MeJUO^JOeJ H MeJordfUPJUfR[WbLQ H moUPJUb H [PhdY JUfs^kfrac12 YZjbM H MN H aringfrac12sup1aagraveszlig $ aagravejj|aacute aelig |aelig agrave aagraveszlig $ j YlaquoXiacuteNiharingNPY H MeJ bn[]ZOslashKj H N H QR[]O[SX H MeJ ^eJLhQU~N H QVUPJ QcYOslashbn[]ObnJLhOeJU^OeWFJNihZJQcOWVH JLhZJUY H JU^ QcO YYZaringNPfcfOtilde^JX[PhlZ N H QR[]OY^ J H MBjYJkWKNPO^ H MeJ H hNPOYX[PhZaringN H QR[]ONPbLbn[Ph^QcO[ H [hdY H [Ph^eJLh NmWfR[PhyacuteXiacute[PhlZtimesjfcNaring|aagraveszlig $ jpoundaacuteAElig|a s szlig $ j agrave aelig |aelig agrave a s szlig $ jaacute $ ragrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacute frac14 frac14 a s szlig $ j^ J H MeJUOQcO H hZ[W^jbnJ H MehZJLJgZ NPQcO^eJOQ H QR[]OYaringf^QMeJg0jfRJLhQcNPO^eJLhQU~N H QVUPJOtilde[SXocirc|adOuml times jordfaqQcO H MeJIacute^QRhZJUb H QR[]O[SXcedilfrac12jaring ocirc|adOumlcopytimesszlig_frac12jOcircaacutefcQZUcedil iacute ocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave admacrfj ^QMeJgZaringN H JLhQsNPfg^eJLhQVUiN H QVUPJOtilde[SXuumlStimesYa $ szliglOumlcopytimes)jaringsup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j|aacutefcQZUcedil iacute uumlStimesa $ ragrave3frac12ba $ jszliglOumlutimes agrave3frac12sup1a $ jj uuml]timesa $ szliglOumlcopytimesdjagrave admacr j^QMeJaumlYZMNiKEgraveJOtilde^eJLhQU~N H QVUPJOtilde[SXOcircuuml]timesa $ szliglOumlutimes)jaring

uumlnotraquotimes a $ szliglOumlcopytimesUcircszlig_frac12 jaacutefcQZUcedil iacute uumlStimesYa $ szliglOumlutimesragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave admacrS]j

uumlnyacutenthornnyumll13YSordmY_Fordfy

yenKbrvbarsect =4 acirc $ hq centUWQR[]jYZfVmSe-centmaJkBKNPO^QcO[ admacr jUacuteNPbLbn[Ph^QcOF[ H [hdY H [Phd^eJLhordfNmBfR[PhordfXiacute[PhlZtimesjfcNeWFJaumlMNUPJSaring sup1uumlStimesYa $ szliglOumlcopytimesUcircszlig_frac12 jaacuteAumluumlnotraquotimes a $ szliglOumlcopytimesszlig_frac12jhuumlStimesa $ szliglOumlcopytimes)j frac12sup1a $ j admacrj J H MeJUOabn[]ZOslashK-j H JZOslash[PhJaumlKhZJUbLQcYZJUfVm H MJ0jfRJLhQcNPO ^eJLhdQVU~N H QUPJauml[SXcopyocirc|adOumlcopytimesdj^ JMNUPJSaringocircOcircadOumlutimesaagravejj ocircOcircadOumlutimes)jagrave aacute fagrave = thorn yuml uuml times a $ aagravejszliglOuml times aagravejj $ uuml times a $ szliglOuml times j $ FH admacrSmacr]j5O H MJohY H QcO H J[PhdNPfdeltWFJZaringN`PJ H MeJU~NihdQcNicentfRJ bMNPO[PJ $ aagravejaacute $ agrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacuteethicirc7a2atildeshyszligaumlFjszligicirc cent a2atildeltszligaumlj eWMQcbdM[]QVUPJUYaring thorn yuml uuml]timesYa $ aagravejszliglOumlcopytimesYaagravejj $ aacute admacrS]j

5 uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlutimes agrave3frac12sup1a $ jjlt^eJ H ocirc a $ jlt $WMJLhZJocirc a $ jQcY H MeJgXiacute[]fcfR[WQcO[aringSNPbn[PcentQcNPOtZaringN H hdQkKaring

ocirc a $ jaacute oacute fcedilxagrave frac14 iacute oslashfrac14Uordm agrave frac14 iacute oslashfrac14 ugraveagrave frac14 iacute acircfrac14ordm fcedil agrave frac14 iacute acircfrac14 ugrave ocircNPO^ YZ[eFWNtildeJIacuteMNUPJSaring

^eJ H ocirc a $ jOcircaacute fUragravee^QVUKafrac34frac12sup1a $ jjragrave cent ^eJ H amacr frac12sup1a $ jjMJUOWNtildeJauml[Pcent H NPQcOOaring

fsQZcedil iacute ^eJ H ocirc a $ j fagrave aacute ^QVUKafrac34frac12sup1a $ jj admacr]zSjMJJBjN H QR[]OxadmacrSmacr]j H MeJUOcent=JUbn[]ZaringJUYaringocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave aacute fagrave middot uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jjlt 13raquo ocirc a $ jlt $ uumlStimesa $ szliglOumlcopytimesAj $ admacrSi]j JTbLNPO`YZjeKKEgrave[]YJ H MN H ^eJ H aocirc a $ jjfrac14aacute sfrac12 agrave frac12 $ ^ JZaringNm H MeJUO H N`PJ^eJ H aocirc a $ jjfrac34 s eNPO^ WNtildeJ ^eJUPJUfR[PK H MeJaJkWKhZJUYYZQR[]OadmacrSi]j NPYoX[]fsfR[WQsO[centmNP^^QcO[aringN H JLhZ QcO H MeJIacuteYZJUbn[]O^aQcO H J[PhNPfltWMQcfcJaumlYZjeKKhJUYZYZQcO[ H MeJtimesYZNSZOslashJ H JLhlZQcO H MJordfhY H QcO H J[PhNPfdaring ocirc|adOumlcopytimesYaagravejj ocirc|adOumlcopytimes)jagrave aacuteegraveOtildef1rOtilde cent admacrSh]j

uumlnyacutenthornnyumll13YSordmY_Fordf

s $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJSaring

Otilde aacute uuml]timesa $ ragrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave ^eJ H aocirc a $ jj $ ad s jOtilde cent aacute uuml]timesa $ szliglOumlcopytimesdj ^eJ H aocirc a $ jj fagrave $ adfj

9J H jY_ZaringN`PJordmagrave H JUO^ H [WNih^Y s ^curreniquestYZQcO[frac34admacrjiexclNPO^JOQ H Qc[]OYadmacr e macrS]jeWFJ[PJ H aringfcQZUcedil iacute Otilde aacute sup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j $

aacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ uuml times a $ szliglOuml times j frac12sup1a $ j $fcQZUcedil iacute Otilde cent aacute uuml]timesa $ szliglOumlcopytimesdj^QVUKafrac34frac12 j $

O^ Y[Xiacute[Ph H MeJgNtildejfRJLhQsNPO ^eJLhQVUiN H QVUPJSeWFJgO^Oaring ocirc|adOuml times szlig_frac12jumlaacuteyacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ amacrreguumlStimesYa $ szliglOumlcopytimes)j frac12sup1a $ j7 uuml]timesYa $ szliglOumlcopytimes)j^QVUKafrac34frac12sup1a $ jjj $aacute uumlnotraquotimes a $ szliglOuml times szlig_frac12j $ ^QVUKaduuml times frac12j $ ad j

MeJUO NiKKfVmWQcO[ H MJ hJLJUOWVAQRJZ NPOO H MeJL[PhZJZQcO ad jeWNtildeJ5ONPfcfmtimes[Pcent H NPQcOOaring ocirc|adOumlcopytimesszlig_frac12jOcircaacute uuml raquotimes a $ szliglOumlcopytimesUcircszlig_frac12j $ uacutefrac14 5 uuml]timesYafrac34frac12 eacuteAgraveiquestsup1AacuteAtildeAcircj THORN adS]jWMJLhZJ5eacuteAgraveiquestsup1AacuteAtildeAcircyQcY H MeJUacutejOQ H QcOOgraveWNih^ Oe[PhlZaringNPf H [ aelig OumlcopytimesUcirc^MeJ_NtildejfRJLhQcNPO ^eJLhQVUiN H QVUPJQcY(O[ H JU^ ocirc raquo aagravej(QcO H MeJaumlKNiKEgraveJLhNPO^ H MeJaumlYZMNiKEgraveJauml^eJLhQU~N H QVUPJyuuml raquotimes QcY(Oe[ H JU^ frac14 frac14 ^iquest acutemicrosup1cedilFLft not [PhyYQZOslashKfcQsbLQ H mSeWNtildeJ(bM[[]YJ H MeJcopyXiacute[]fcfR[WQcO[_U~NihQsN H QR[]OaeligQcO H MeJKhZ[B[SXaring$ aagravejaacute $ agrave3frac12sup1a $ j^MJiexclKh[[SXZaringNm NPfcYZ[IacutecentEgraveJiexcl^JUPJUfR[PKEgraveJU^WiexclQ H MZaring[PhZJ_[PJUOJLhNPfUiNihQcN H QR[]OYFYjbM NPYaring $ aagravejaacuteAacuteAgravea $ szligYagravejWQ H MAcircAgrave`NOslashYYZOslash[B[ H MXiacutejOb H QR[]ONPO^AcircAgravea szligYagravejcentQ ~5JUb H QVUPJS^

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ ffrac12OcircacuteIshyNT AcircE J(MNUPJ H [Otildebn[]ZOslashK-j H J H MJNtilde^QEgraveJLhZJUO HH JLhZaringY9[SXQa macr]j9QsOauml[Ph^eJLh H [Uacute[Pcent H NPQcO H MeJ

JUP[]fcj H QR[]OJBjN H QR[]O[SX H MeJ NPb H QUPJ bn[]O H []jehX[Ph H MeJ ^JUYZbnhQRK H [PhdYaumlcentNPYJU^Oacute[]OH MeJ(bn[U~NihQsNPObnJ ZaringN H hQVktimes^eJ H JLhlZ QcONPO H a2Ograveh]j^OgraveMeJ(bn[]ZOslashKj H N H QR[]OaringQcYampKEgraveJLhYXiacute[PhlZOslashJU^Xiacute[Ph H MeJIacute^eJUYZbnhQRK H [Ph_uuml thorn timesOslash yuml ^ q centUWQR[]jYZfmSeN YZQZ QcfcNihbn[]ZOslashKj H N H QR[]OabLNPOacent=JIacute^e[]OeJXiacute[PhOcircuuml thorn UgraveUcircUacuteUuml yuml ^ JiexclbLNPOaeligJkBKhJUYZYOcircuuml thorn timesOslash yuml NPYyNUacutebn[]ZTcent-QcON H QR[]Oaelig[SXgtXiacutejOb H QR[]OYamp^eJLKEgraveJUO^QcOF[[]O H MJOtildehZJ[]QR[]OwOuml timesOslash aring

uumlgtthorn times Oslash yuml a2atildeltszligaumlgtszligYagravejaacute`Ograveoacute m thorn timesOslash yumlaIgraveagrave thorn timesOslash yumlAtilde j cent ocirc adjWMJLhZJordmaacuteAuml85eWiexclQ H MAring8 H MeJordfXqjOb H Qc[]O QcO H h[B^jbnJU^ QcOpounda2Ograveh]je-NPO^aringm thorn timesOslash yuml aacute agrave thorn timesOslash yuml agrave thorn timesOslash yumlcent agrave thorn timesOslash yuml agrave thorn timesOslash yumlAElig agrave thorn times Oslash yumlCcedil agrave thorn timesOslash yumlEgrave agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlEgrave j cent agrave thorn times Oslash yumlcent aIgraveagrave thorn timesOslash yumlCcedil j cent agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlAElig j centWQ H MOaring EFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFH

agrave thorn timesOslash yuml aacute w$ thorn yuml aOtilde S times Oslash j cent atilde aumlagrave thorn timesOslash yumlcent aacute w$ thorn yuml aOtildeOgravecent Scenttimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yuml aacute w$ thorn yuml aOtildeS Stimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yumlAElig aacute w$ thorn yuml aOtilde S times Oslash jaOtildeOgravecent ScenttimesOslash j atilde aumlagrave thorn timesOslash yumlCcedil aacute w$ thorn yuml aOtilde S times Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlEgrave aacute w$ thorn yuml aOtilde cent S centtimes Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlAtilde aacute w$ thorn yuml atilde auml O^ Y[ H MJordfXiacutejOb H QR[]OY aelig thorn timesOslash yumlauml MNUPJ H MeJgXiacute[]fcfR[WiexclQcO[aeligJkBKhZJUYZYZQR[]OYaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

aelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlcent aacute aOtilde cent S centtimesOslash j centaelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlAElig aacute aOtilde S timesOslash jaOtilde cent S centtimesOslash jaelig thorn times Oslash yumlCcedil aacute aOtilde S timesOslash jaOtilde S timesOslash jaelig thorn times Oslash yumlEgrave aacute aOtildeOgravecent ScenttimesOslash jaOtilde13 StimesOslash jaelig thorn times Oslash yumlAtilde aacutemiddotf

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBnot h[]Z H MeJUYJaumlJkWKhZJUYYZQR[]OYeWFJOtildeJUNPYZQcfm ^eJU^jbnJ H MN H aring

$ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde aumlregaacute sEacutefrac12poundEcirc iuml

J H MeJUO MNUPJ H [Tbn[]ZaringKj H J H MeJ H JLhlZaringY eacute thorn times Oslash yumlauml XiacutehZ[]Z H MeJJkWKhZJUYZYQR[]OYamp[SXagrave thorn timesOslash yumlauml eWMQcbM fRJUNP^Y H [aringEFFFFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFFFFH

eacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideoslash aacute w$ thorn yuml uacute ouml $ordfdivideacirc uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIgrave yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H a timesOslash jjeacute thorn timesOslash yumlcent aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideacirc

aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIcirc yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideEuml aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideacirc thorn thorn uacute ouml $_divideIuml yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yumlAElig aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIuml aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideEuml uacute ouml $ordfdivideIuml thorn uacute ouml $_divideIcirc uacute ouml $ordfdivideIgrave yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlCcedil aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIcirc aacute w$ thorn yuml cent thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideacirc uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlEgrave aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIgrave aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideoslash uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlAtilde aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIacute aacute w$ thorn yuml thorn +ETH ouml $_dividethorn uacute ouml $ordfdivideIacute yuml Iuml 8 raquo aq^J H a timesOslash jj

O^centmJkWKhZJUYZYZQsO[ H MeJbn[UiNihQcNPObnJZaringN H hQVkpoundWQ H M H MJregXqjOb H QR[]OYagrave thorn timesOslash yumlauml NPYXiacute[]fcfR[WQcO[aring

timesOslashlaquoaacute 1NtildeNtildeNtildeNtildeNtildeNtilde3uacute ouml $ordfdivideoslashuacute ouml $ordfdivideIacute uacute ouml $_divideIumluacute ouml $_divideIacute uacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIumluacute ouml $ordfdivideIacute uacute ouml $_divideacircuacute ouml $_divideIacute uacute ouml $ordfdivideIgraveuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacute uacute ouml $_divideIgraveuacute ouml $_divideIacute uacute ouml $ordfdivideEumluacute ouml $ordfdivideIacute

6OgraveOgraveOgraveOgraveOgraveOgrave7 J H MJUO^eJU^jbnJSaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

eacute thorn times Oslash yuml aacute a fj thorn yuml ^eJ H aDC Ptimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlcent aacute a fj thorn centcent yuml ^eJ H aDC centcenttimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yuml aacute a fj thorn curren yuml ^eJ H aDC 4times Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlAElig aacute a fj thorn cent yuml ^eJ H aDC centtimes Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlCcedil aacute a fj thorn curren yuml ^eJ H aDC times Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlEgrave aacute a fj thorn centcurren yuml ^eJ H aDCcent4times Oslash j48 raquo aq^eJ H a timesOslash jjeacute thorn times Oslash yumlAtilde aacute amp^eJ H a timesOslash j48 raquo aq^eJ H a timesOslash jj

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ SWMJLhZJC EBtimesOslash QcY H MeJgZaringN H hdQk ^eJU^jbnJU^Xh[]ZOacutetimesOslasharingcentm YZjeKKhZJUYZYZQcOF[ H MeJyuuml UumlON hZ[WNPO^ H MJ I UumlON bn[]fcjFZaringOO^]MeJbn[]ZOslashKj H N H Qc[]OordmX[Ph H MeJ^eJUYZbnhdQRK H [Ph|uuml thorn UgraveUcircUacuteUuml yuml QcYyYQZaringQcfcNihNPO^WFJ H MeJUOOslashMNUPJNPfcf H MeJ(JkWKhZJUYZYZQc[]OY H [aumlbn[]ZOslashKj H J H MeJJUP[]fcj H QR[]OaeligJjN H QR[]OXiacutehZ[]Z H MeJg[PJUOJLhNPfOXiacute[PhlZIacutejfcNta macr]j^gtMQcYcopy[]QVUPJUY H MeJTJUP[]fcj H QR[]O JBjN H QR[]Osup1admacr s j^

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBΩ out

Objects

Γ

inΩ

inΩ

Background Part

-t not Upv copy ETHEgraveIcircAtildeampAacuteiacuteCcedil=AumlFcedilAtilde5ordm|sup1Aumldraquo~AElig9AumldOgravefrac14raquoUacutesup1Igravefrac14dordm|Atilde

Ω

Ω out (τ)Ω

(τ)in

N

Γ(τ)

Ω

N

v

w

N

-t not Upv ETHEgraveIcircAtildeyEcircAumldIgravefrac14dsup1raquo~AEliggfrac14raquoiEcircAacuteIcircAtilde$AcircnAtilde5AgraveAacuteAumlcedilAEliggsup1raquoUAcircnAumldfrac12AcircnAtildeEcircsup1raquoiexclAacuteIcirc~Atilde$EcircAtildecedilsup1Acirc|frac14ZAacutesup1Aumldraquo

uumlnyacutenthornnyumll13YSordmY_F2ordf

yenKbrvbarsect =4 acirc $ Smacr

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 Atilde|IumligraveAacuteAtildecedil4frac14ZAacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvyzU eacuteWsup1ordm|AringcedilAtilde5AEligfrac14iquest Eacuteiquest AgraveJ]iUumlAcircnAumldfrac12AringAacutesup1Auml|raquoOtildeAumlOgraveeAacuteIcirc~Atildeyfrac14dAgrave Aacutesup1Acirc|Atilde0AgraveAuml|raquoLAacuteAuml|AringcedilIgravefrac14raquoifrac14ordm|AtildeEcircUacuteEacuteLfrac34AacuteIcirc~AtildefTHORN$Uuml v qzqwsup1raquo~Agrave5frac12AringiEcircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquoifrac14frac12ampAacuteAtildecedilIgrave(AElig5IumlgeacuteWsup1ordm|AringcedilAtilde5AEligOtildeEcirc]iquest Atildediquest Ograve] g sup1AEligwAringifrac14frac12sup1Ocirc5frac14Aacutesup1Auml|raquo`AumldOgrave0AacuteIcirc~AtildeTAgrave5AumldcedilwcedilAtilde5AEligwOumlPAumldraquoiEcircsup1raquoordmAcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 OgraveuAring~raquoAgraveAacutesup1Auml|raquosup1raquo~Agrave5frac12Aring~Ecircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquo~frac14dfrac12ampAacuteAtildecedilIgrave(AEligraquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirc EacutePAtildeAacuteiacuteCcedil=Atilde5Atilde5raquo ugrave frac14draquoiEcirc divide JUiquestAEligwAring~Agrave4IcircTAacuteIcirc~frac14Aacute$AacuteIcircAtilderaquo~Atilde5ordm|frac14Aacutesup1AcircnAtildeAcircdfrac14dfrac12AringAtilde5AElig0frac14cedilAtildefrac12AumlCcedilEgraveAtildecedilyAacuteIcirc~frac14draquo uacutedivide Uacutefrac14raquoiEcircaumlAacuteIcirc~AtildeOumlPAumldAEligwsup1Aacutesup1AcircnAtilde(Aumldraquo~Atilde5AEligyfrac14ZcedilAtilde(Icirc~sup1ordm|IcircAtildecedilAacuteIcircifrac14raquo uacuteZdivide Iuml

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

Ecirc]Iumligraveraquo~sup1currenAacutesup1frac14dfrac12BAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 Atilde|IumligraveAacuteAtilde cedil4frac14Aacutesup1Auml|raquo ugravedugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not Upv ucirc eacuteWsup1ordmdAringcedilAtilde5AEligtimesfrac14iquest Eacuteiquest AgraveJ]ampUumlAcirc|Auml|frac12AringAacutesup1Auml|raquoAumlOgrave(AacuteIcirc~Atildearingfrac14AgraveAacutesup1AcircnAtildeOslashAgrave5Auml|raquoLAacuteAumldAringcedilIacuteIgravefrac14draquoifrac14ordm|AtildeEcirc`EacuteUfrac34AacuteIcircAtildeOcircfTHORN$Uumlv q w iquestiexclCcedilgsup1currenAacuteIcirc~AumldAringAacuteAacuteIcirc~Atildefrac14dEcirc~Ecircsup1Aacutesup1Aumldraquoifrac14dfrac12TAacuteAtildecedilIgrave(AElig5IumliexcleacuteWsup1ordm|AringcedilAtildeAElig Ecirc]iquest Atildediquest Ograve] g sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo AumlOgraveaeligAacuteIcirc~AtildeAgraveAumldcedilwcedilAtildeEumlAEligwOumlPAuml|raquo~Ecircsup1raquo~ordm AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 OgraveregAring~raquo~Agrave Aacutesup1AumldraquoeumlCcedilgsup1currenAacuteIcirc~Auml|AringAacuteIacuteAacuteIcircAtilde frac14|Ecirc~Ecircsup1currenAacutesup1Aumldraquoifrac14frac12FAacuteAtildecedilIgrave(AElig v raquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirceumlAEligwAring~Agrave4Icirc AacuteIcirc~frac14AacuteIgravefrac14icirc vOOtilde wpOumldivide z w Iuml

uumlnyacutenthornnyumll13YSordmY_F2

S $amp)(+-)013021+345627893lt=gt9A6CB

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIumligravesAacuteAtildecedil4frac14Aacutesup1Aumldraquogt ugrave|ugrave AgravedIumlieacuteWsup1raquoifrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12Acirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 AtildedIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIumlieacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvtimesLg sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo(AumldOgravePAacuteIcirc~AtildeAtildeAcircnAuml|frac12AringAacutesup1AumldraquoAumldOgravePAacuteIcircAtildeEgraveAgrave5Auml|raquoLAacuteAumldAringcedil-frac14draquo~EcircNtildeAacuteIcirc~AtildeEgraveAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 v Ccedilgsup1AacuteIcircAuml|AringAacuteAacuteIcircAtildeEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircFAacuteAtilde cedilIgrave w OgraveregAumldcedilEgraveAacuteIcircAtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoAumlOgraveAacuteIcircAtilde9Ograveufrac14dAgrave5AtildeAring~AEligwsup1raquo~ordmyAacuteIcirc~Atilde9Agrave5AumlZAcirc|frac14Zcedilsup1frac14draquo~AgraveAtildeIgravefrac14Aacutewcedilsup1currenicirc]Iuml

frac14Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcircnAtilde EacuteIumligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 v AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde w Agrave|Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacutefrac34 v Acircdfrac14cedilsup1frac14draquoAgrave5Atilde w-t not Upv h=AumldIgrave(Oumlifrac14cedilsup1AEligwAumldraquoOtildeAumldOgraveAacuteIcirc~Atilde$sup1raquo~sup1currenAacutesup1frac14dfrac12eAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34iexclAgrave5Auml|Igrave(OumlAringAacuteAtildeEcircAringAEligwsup1raquo~ordmAacuteIcirc~Atilde$AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde0Igravefrac14Aacutewcedilsup1currenicircv iordmdAringcedilAtildeFEacute w AacuteAumliexclAacuteIcircAtildeAuml|raquoAtildeFAgrave5AumldIgrave(Ouml~AringAacuteAtildeEcircTAringAEligwsup1raquo~ordmiexclAacuteIcircAtildeFAcircdfrac14cedilsup1frac14draquoAgrave5Atilde v ~ordm|AringcedilAtildeFAgrave w OgraveregcedilAumldIgrave AacuteIcirc~AtildeNtildeAEligfrac14dIgrave(Atildesup1raquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcirc|Atilde v iordmdAringcedilAtilde$frac14 w Iuml

uumlnyacutenthornnyumll13YSordmY_F2_a

yenKbrvbarsect =4 acirc $ ]z

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv Oslash| THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5AtildeccediliacuteAtildecedilsup1UgraveUegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_o

Si $amp)(+-)013021+345627893lt=gt9A6CB

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv ordf THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5Atildeccedilqfrac14dUgraveUsup1currenfrac34LAumldegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_y

RR-0114-SJEHANpdf
  • wwwi3sunicefr
    • httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf
Page 28: LABORATOIRE INFORMATIQUE, SIGNAUX ET SYSTEMES DE …mh/RR/2001/liste-2001.pdf · 2002. 6. 27. · [Dir01] DIRAT L. “Outils pour des Mathématiques Interactives et Distribuées”

fi $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJampntildeaOgravejQsYNOslashKEgrave[]YZQ H QVUPJiexclXqjOb H QR[]O[SX$bLfcNPYYograve aj^ YKhZJUWQR[]jYZfVmSe H MeJlaquoUPJUfR[WbLQ H mfrac34UPJUb H [PhTQcYbn[]ZOslashKj H JU^eumlcentmhZJLKfsNPbLQcO[ H MJ H JLhZaringY[SXua jcopyWQ H M H MeJUQRh(JkWKhZJUYZYZQc[]OY^FMeJauml^JUYZbnhQRK H [Ph uuml thorn timesOslash yuml QcY(JkWKhZJUYZYJU^centmKaringuuml thorn timesOslash yuml a2atildeshyszligaumlKszligYagravej|aacutei thorn timesOslash yuml a2atildeshyszligaumlKszligagrave thorn times Oslash yuml aagravejszligagrave thorn timesOslash yumlcent aagravejjaacutentildeoacuteOtilde agrave thorn timesOslash yuml aagravejagrave thorn timesOslash yumlcent aagravejfocirc adj

WMJLhZJSaring EFFG FFH agrave thorn timesOslash yuml aagravejpoundaacute w5$ thorn yuml Otildegta2atildeltszligaumlj atilde aumlagrave thorn timesOslash yumlcent aagravejpoundaacute w5$ thorn yuml atilde auml adSmacr]j O^ Y[aring aelig thorn timesOslash yuml a2atildeshyszligaumlKszligYagravejOcircaacuteegraveOtildegta2atildeltszligaumljaelig thorn timesOslash yumlcent a2atildeshyszligaumlKszligYagravejOcircaacute f adS]jG QsObnJ H MeJordfXiacutejOb H QR[]OY aelig thorn timesOslash yuml NPO^ aelig thorn timesOslash yumlcent ^e[aringO[ H ^eJLKEgraveJUO^[]OtagraveeFWFJTMNUPJSaringEFFFG FFFH w$ thorn yuml frac14ltotilde5ouml $ordfdivideoslashfrac14 atilde aumlregaacute s

w$ thorn yuml frac14ltotilde5ouml $ordfdivideacircfrac14 atilde aumlregaacute s ad]zSjMJ H JLhZaringY eacute thorn timesOslash yumlauml NihZJ H MJUObn[]ZOslashKj H JU^eNPO^WFJauml[Pcent H NPQcOOaringEFFFG FFFH eacute thorn

timesOslash yuml aacute w$ thorn yuml thorn uacute ouml $ordfdivideacircntilde raquo7ucirc Otilde uacute ouml $ordfdivideoslashuacute ouml $ordfdivideacircyacuteuuml atilde aumlaacute thorn iacute $ w$ thorn yuml ntilde raquo aOtilde SOtimesOslashj atilde aumleacute thorn timesOslash yumlcent aacute w$ thorn yuml uacute ouml $ordfdivideoslashthorn uacute ouml $_divideacirc yuml acirc ntilde raquo ucirc Otilde uacute ouml $ordfdivideoslashuacute ouml $ordfdivideacirc uuml atilde aumlordmaacute ugrave $iacute $ w$ thorn yuml ntilde raquo aOtilde SOtimesOslashj atilde auml JUacutebLNPO H MeJUObn[]ZOslashKj H JUacute^QRhZJUb H fm H MJ_UPJUfR[WbLQ H mUPJUb H [Ph[SX H MeJUacuteNPb H QVUPJOtildebn[]O H []jhXiacutehZ[]Zigravea macr]j(NPO^WNtildeJyO^Oaringaelig Yacuteaagravejaelig agrave aacuteuuml thorn timesOslash yuml uuml thorn UgraveUcircUacuteUuml yuml uuml thorn otilde)yumldacute uuml thorn otilde)yuml eacute aOtilde SOtimesOslashjicircFtimesOslash $ thorn yuml ntilderaquo)aOtilde SOtimesOslashjmiddotQeacute adSi]j

5O H MeJtimesKNih H QsbLjfcNihiexclbLNPYZJIacute[SXIcircntildeaOgravejuaacuteOslashScenteKWFJtimesMNUPJnntilde raquo aOgravejcopyaacute NPO^ H MeJLhZJXiacute[PhZJSeH MeJiexclNP^^Q H QR[]ONPf H JLhlZaringYebn[]ZaringQcO[gXiacutehZ[]Z H MeJ UiNihQcN H QR[]O [SX H MeJiexcl^eJUYbnhQRK H [PhYOcircWQ H MagraveeNihJJjNPf H [gcurrenLJLhZ[^[WNtildeJUPJLheWQsOordmZOslash[]Y H bLNPYZJUYe H MQsYyNP^^Q H Qc[]ONPf H JLhlZoslashQsYyOe[ H

uumlnyacutenthornnyumll13YSordmY_FPy

yenKbrvbarsect =4 acirc $ fhcurrenLJLhZ[^ not [PhaeligJkeNSZOslashKfRJSeampQVXUgraventildea]jaacute yuml Wiexcl cent eshyWiexclQ H MN`KEgrave[]YZQ H QVUPJ bn[]OY H NPO H eQWFJMNUPJSaring

ccedil aacuteFuumlgtthorn timesOslash yuml uumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn otilde)yuml uumlgtthorn otilde)yuml eacute aOtilde SOtimesOslashjicircFtimesOslash $ thorn yuml aOtilde SOtimesOslashj IcircAumlaOtilde SOtimesOslashj cent adSh]j^ ^~IacuteFEumlIgraveFIacute5IgraveFOacuteETHNtildeFETHEacuteshyOacuteAgraven13ETH9 ETH9IgraveumlEumlIgravesup1+ltIgraveFEumltIcircIgraveFETHbIacute5IgraveFETH9shyEacute18 YXqNih0NPY H MeJOBjFZOslashJLhdQcbLNPfeQZOslashKfcJZOslashJUO H N H Qc[]OtimesQsYybn[]ObnJLhOeJU^eSWNtildeJbLNPOZOslash[W^eJUf H MeJNPb H QVUPJaumlbn[]O H []jeh_WQ H MNPOJkBK-fcQcbLQ H KNihNSZOslashJ H JLhdQVcurrenUN H QR[]ObaN[PhNPO[]QcNPOXiacute[PhlZtimesjfcN~VH QR[]OKjaelig[Ph NPO QCZOslashKfcQcbLQ H []OeJraNtildejfRJLhQsNPO Xiacute[PhlZIacutejfcN H QR[]Ogtj^ G JLJra G J H MQcNPOOe5fhSh s jNPO^egraveaJUfcQcO[PJ HH J NPO^ _a[]O H N[]ON H e sSs fjX[PhaeligNPOQcO H JLhZJUY H QcO[eumlbn[]ZOslashKNihdQcY[]OcentEgraveJ H WFJLJUO H MeJ H WNtilde[ZOslashJ H M[B^Y^ iexclO[ H MeJLhOtildeQcO H JLhJUY H QcO[aringhJUBQRJW[]O H MeJtimes^Q=JLhJUO HZOslashJ H M[B^Y[SX$NPb H QVUPJIacutebn[]O H []jehQcY(Kh[PK=[]YZJU^ QcOpoundaw_[]O H N[]ON H J H NPfd^Ve sSs fj^iexclJLhZJSeWFJaumljYJ H MeJaumlfRJUPJUfYZJ H ZOslashJ H Me[W^ NiKKhZ[]NPbdM KhZ[PKEgrave[]YJU^centm q YMeJLhNPO^G J H MQcNPOa q YZMJLh NPO^ G J H MQcNPOe fhSiSi]j centj H hJ[]QR[]OWVcentNPYJU^ NPb H QVUPJeumlbn[]O H []jehdYZaringNmNPfcYZ[ centEgraveJQZOslashKfcJZOslashJUO H JU^7centmjYQcO[`XNtildeV4YK-fcQcOeJUYXiacute[PhaeligNPOJkWKfcQsbLQ H K-NihNSZOslashJnVH JLhQcurrenUN H QR[]O ayhZJUbLQc[]Y[ NPO^XNihfcNPj^Oe sSs fj^shyMJ`PJmeumlQc^eJUN [SX H MeJOslashfRJUPJUfampYJ HZOslashJ H M[B^QsY H [ QcO H hZ[W^jbnJaumlNPO`NPjkWQsfcQcNihYmXiacutejOb H QR[]O l a2atildeltszligaumlgtszligYagravejYZjbdM H MN H YacuteaagravejQcY H MJtcurrenLJLhZ[OacutefRJUPJUfYJ H [SX l ^OcircMJXiacutejOb H QR[]O l QsYaelig[SX H JUO bMe[]YJUO H [centEgraveJ H MeJYZQ[]OeJU^ ^QcY H NPObnJordfXiacutejOb H QR[]O[SXQYacuteaagraveje-NPO^ QsY H MeJUObdMNihNPb H JLhQVcurrenLJU^acentmKaring

YacuteaagravejOcircaacute a2atildeltszligaumljPO l a2atildeshyszligaumlKszligYagravejaacute s a2 s jMQcYOcirc0jfRJLhQcNPOordmXiacute[PhlZtimesjfcN H QR[]O KhZJUYZJUO H YFYJUPJLhNPfEgraveNP^UiNPO H N[PJUYga G J H MQcNPOOeKfhShS]j^not QRhY H fVmSe H MeJabLjehYUPJ l ZaringNmcenthJUN`[PhoZOslashJLhY[PJNPY H MJXiacutejOb H QR[]O l JUP[]fUPJUYeNPO^ H [PK=[]fc[S[]QcbLNPfbdMNPO[PJUYFNihZJ H MBjY$JUNPYZQsfVmOslashMNPO^fRJU^^ G JUbn[]O^fVmSe H MJJUP[]fVUWQcO[XqjOb H QR[]O l a2atildeshyszligaumlKszligYagravejNPfVWNmWY(hZJZaringNPQcOY(NlaquoXiacutejOb H QR[]O NPfcfR[WQcO[timesJltz bLQRJUO H OBjFZOslashJLhVQcbLNPfFYZbdMeJZOslashJUY^OcircMQRh^fVmSe H MeJ[PJL[]ZOslashJ H hQcb KhZ[PKEgraveJLh H QcJUYT[SX H MeJ bLjehYUPJSe$fcQV`PJ H MeJbLjehlU~N H jehJ NPO^ H MeJOslashOe[PhlZ NPfshyUPJUb H [PhordfJUfs^eacute e=bLNPO centEgraveJIacuteJUY H QZaringN H JU^euml^QRhZJUb H fmXiacutehZ[]Z H MeJTfcJUPJUfgYJ H XqjOb H QR[]Oaring aacute V ucirc l l uuml NPO^ eacuteecircaacute l l a2FfjMJJUP[]fsj H QR[]O JBjN H QR[]O H MeJUO centEgraveJUbn[]ZOslashJUYaringaelig l aagravejaelig agrave aacuteegraveccedilacute l a2 jMJregUPJUfR[WbLQ H msup1XiacutejOb H QR[]OxccedilEQcYIacutebn[]ZaringKj H JU^7[]OfVm[]O H MeJbLjehYUPJYacuteaagravejaumlcent-j H WFJbLNPO Jk H JUO^ Q H YFJkBKhZJUYZYZQR[]O H [ H MeJiexclWMe[]fRJUacuteQZaringN[PJOtilde^e[]Z NPQcOoOumlordf^[OslashQZOslashKfRJZaringJUO HH MeJIacutefRJUPJUf9YJ H ZOslashJ H Me[W^OeY[]fsj H QR[]OYuZtimesjY H centEgraveJgXiacute[]jO^ H [ bLQRhbLjZyUPJUO H Kh[PcentfRJZaringY

uumlnyacutenthornnyumll13YSordmY_FP

s $amp)(+-)013021+345627893lt=gt9A6CBbn[]ZaringQsO[ Xh[]Z H MeJpoundXqNPb HH MN H`H MeJYZQV[]OeJU^ ^QcY H NPObnJumlXqjOb H Qc[]O l QcYaOe[ H NY[]fsj H QR[]O[SX H MeJyiexcl a2 jeEgraveYJLJa []ZOslashJUYNPO^ not NPjF[PJLhNPYe sSsSs jyacuteXiacute[Phiexcl^J H NPQcfcY^5Oaelig[]jehWF[PhY`gte H MJuXiacutejOb H QR[]O l QcYamphZJUQsOQ H QcNPfcQcurrenLJU^TY[ H MN H Q H hZJZaringNPQcOYampNOtilde^QsY H NPObnJXqjOb H QR[]OenYZJLJ5aq jecentEgraveJLh H NPO^gcOtilde[PhdOeKhZ[PcentY H e sSs fJLcenthZJUjFUPJSe sSsSs jOXiacute[Ph^J H NPQcfcY[]O H MJOtildehZJUQcOQ H QsNPfcQVcurrenUN H QR[]O JBjN H QR[]OO^5Oeuml[Ph^eJLh H [QCZOslashKhZ[UPJaringOjFZaringJLhQcbLNPfJltz bLQRJUObmSeOWFJaringbn[]ZOslashKj H J H MeJOslashJjN H QR[]O[]O NIacuteONihhZ[Wcent-NPO^aringJUObLfc[]YZQcO[ H MJiexclfRJUPJUf s [SX H MeJUacutefRJUPJUf-YJ H XqjOb H Qc[]OO^ JUacuteNPfcY[jYZJZtimesjf H QRhZJUYZ[]fcj H QR[]O H JUbdMOQBjeJUYcentmZaringN`BQsO[ H MeJFNPb H QVUPJ(bn[]O H []jh$JUP[]fVUPJcopyhY H[]ONOslashfc[W hZJUYZ[]fcj H QR[]O QZ N[PJS^FMeJordfONPfbn[]O H []jeh[Pcent H NPQcOeJU^Xiacute[Ph H MQcYhJU^jbnJU^QZ N[PJaumlQcY H MeJUOjYJU^ NPYNPOQsOQ H QcNPfEgravebLjehYUPJordfXiacute[Ph H MJOtildehZJUNPfgYZQVcurrenLJaumlQCZaringN[PJS^

EparaacuteAgravegtmicrosup1acuteIKJcedilJT2MgtI MraquowMgtmicrosup1MAgravegtacuteIltacuteMgtPltAtilde iquest acuteAgravegtT2MKIshyAtildeAcirccedilAtildeacuteNicircMgtI cedilAEligMgtmicroOcircacuteOgraveJTCJT13MKI sup2OcircacuteJordfsacuteacuteI Jfrac14ltacutegcedilFLT2cedilIshyROgraveacuteAtilderaquoAMLBqoLacute13AtildeR]cedilsup32acute GmicrobcedilAgraveacuteAtilde5O H MQcYUacuteYJUb H QR[]OOeOWFJOslashKhZ[PKEgrave[]YJaeligY[]ZOslashJOslashhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhY H [YJ[iVZOslashJUO H M[]ZOslash[S[PJUOeJL[]jYiexclhZJ[]QR[]OYiexcl[]Ofrac34[PhZJmBYbLNPfRJIacuteQZ N[PJUY^gtMJUYJIacute^eJUYbnhQRK H [PhYiexclNihZJcentNPYZJU^[]O H MJZaringQcOQZaringQVcurrenUN H QR[]O [SX H MeJU~NihdQcNPObnJUYauml[SX H MJ H WF[`bn[]OYZQc^eJLhZJU^OacutehZJnV[]QR[]OY^ 5O H MJ7YJUbn[]O^ K-Nih H e H MJQZOslashKEgrave[Ph H NPObnJOacute[SX H MeJNP^^Q H QR[]ONPf H JLhZaringYebn[]ZaringQsO[XiacutehZ[]Z H MeJiexclU~NihdQcN H QR[]O [SX H MeJUacute^eJUYZbnhQcK H [PhYWQ H M H MeJiexclJUP[]fUBQcOF[IacutehZJ[]Qc[]OYeQcY9MQV[]MfcQ[]M H JU^O^ G QCZOslashKfRJJkWNSZaringKfRJUY9YMe[W H MeJ0QZOslashKEgrave[Ph H NPObnJ$[SX H MeJUYJ0NP^^Q H QR[]ONPfH JLhlZ Y H [ NPbMQRJUPJ H MeJOtildeJkWKEgraveJUb H JU^aYJ[]ZaringJUO H N H QR[]O^^f^laquoIgraveIcirc=KEgrave(FETHOEacuteltEgraveIcircEcircgtNtildeltIcircIgrave8 EacuteshyOacute ETH9Igravek+NtildeshyEgrave13NtildeshyOacute=KIgraveC0EacuteshyEgraveh4ltEgraveOIgravesup1QIcirc=NtildeltEumlOgraveIgrave2Iacute Ntilde4ltIgraveIcircMJQcO H JUOYZQ H mregXiacute[Phu[PhZJmWYZbLNPfRJaumlQZ N[PJUY(QcYhZJLKhZJUYZJUO H JU^centm NlaquoXqjOb H QR[]OOtilderegaringOgraveOumlOtilde 13ordfcentwntilde Otilde 13laquo^ JaKhZ[PKEgrave[]YJ H [bZaringQcOQZaringQVcurrenLJ H MeJU~NihdQcNPObnJUYOslash[SX H MeJ H WF[bn[]OYZQc^WVJLhZJU^ Me[]Zaring[S[PJUOeJL[]jY hZJ[]Qc[]OY QcO [Ph^eJLh H [YJ[]ZOslashJUO H H MeJZ^uMJXiacute[]fcfR[WQcO[^eJUYbnhQRK H [PhY(NihJaumlYZj[S[PJUY H JU^OaringEFG FH uuml thorn UgraveUacuteUuml yuml aacutecntildeaLuOcentUgraveUacuteUuml juuml thorn times Oslash yuml aacutecntildeaLuOcenttimes Oslash juuml thorn otilde)yuml aacutecb a2Ograve]jWMJLhZJjntildea]jQcYNOslashKEgrave[]YZQ H QVUPJordfXiacutejOb H QR[]O [SX$bLfcNPYZYEacuteograve aOtilde 13yj(NPO^kb`NOslashKEgrave[]YZQ H QUPJaumlbn[]OWVY H NPO H ^MJTbn[]ZOslashKj H N H Qc[]O[SX H MeJUPJUfR[BbLQ H mUPJUb H [PhaumlQcY^JU^jbnJU^tXiacutehZ[]Z H MeJIacutebn[]ZOslashK-j H N~VH QR[]O`[SX H MeJaelig^eJLhQVUiN H QVUPJIacute[SX H MeJtimesbnhdQ H JLhQR[]Opoundocirc7^eJUPJUfR[PKEgraveJU^ QcO G JUb^^ macr^feWMQsbMfRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[aeligJUP[]fcj H Qc[]O JjN H QR[]OOaringaelig Yacuteaagravejaelig agrave aacuteethntildeaLu centtimesOslash j ntildeaLu centUgraveUcircUacuteUuml jb ntilderaquo)aLu centtimesOslash jaaOtilde S timesOslash j cent u centtimesOslash j ntilde raquo aLu centUgraveUcircUacuteUuml jaaOtilde SUgraveUcircUacuteUumlj cent u centUgraveUacuteUuml jIcirc13eacute a2Sj

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ fMJiexclYZQcOF[]fRJiexclK-NihNSZOslashJ H JLhcopyWNtildeJOtildeOeJLJU^ H [aringNP^~ZjY H QcY H MeJUacuteYYZOslash[B[ H MQcO[timesKNihNSZOslashJ H JLhb^5OregXqNPb H e H MeJ X [W ethb MNPY H MeJiexclKhZ[PKEgraveJLh H QRJUYNtilde[SXYYZOslash[B[ H MQcOF[IacutecentEgraveJUbLNPjYJOtildeQ H ZOslash[UPJUYH MeJUacutebLjehYUPJUacuteQcO H MeJUacute^QRhZJUb H QR[]O [SX9Q H YfRJUOF[ H MregXqjOb H QR[]ONPfQa G Qs^^QBQeJ H NPfd^VeOfhShS]j^^ ^~IacuteEacuteltEgraveETHOgraveNtildeltOacute=KIgravefrac34Eacute10frac34ETH9Igrave Ntilde8182ETHEacuteshyOacuteNtildeshyEumlETHIgraveFEgraveOIacute5Icirc5O[Ph^JLh H [7JU~NPfcjN H J H MeJ QZOslashKEgrave[Ph H NPObnJ`[SX H MeJ`NP^^Q H QR[]ONPf H JLhlZaringYX[Ph H MeJYJ[]ZaringJUO H N H QR[]OeuWNtildeJpoundZaringN`PJ H MJeumlNPb H QUPJbn[]O H []jehaJUP[]fVUPJ H MehZ[]j[]M H MJ iexcla2SjeQsObLfcj^QsO[ H MeJaumlNP^^Q H QR[]ONPf H JLhlZaringY^ q O H MeJUacute[ H MeJLhMNPO^OeWNtildeJaumlNPfcYZ[ZaringN`PJQ H JUP[]fUPJfrac34WQ H M H MeJwXiacute[]fcfR[WQcO[ WhZ[]OF[JUP[]fcj H QR[]OJjN H Qc[]O H MN H ^e[JUY Oe[ HQcObLfcj^eJ H MeJaumlNP^^Q H QR[]ONPf H JLhlZaringYaringaelig Yacuteaagravejaelig agrave aacuteethntildeaLu centtimesOslash j ntildeaLu centUgraveUcircUacuteUuml j`b Qeacute iuml a2Ogravemacr]jnot [Ph H MeJOtildeJkWKEgraveJLhQZOslashJUO H YeWFJ H N`PJntildeaOgravejOcircaacute ILK KafcediliexclOgravejWMQsbM[]QVUPJUYntilde raquo aOgravejaacutefdOafcedil]j(NPO^ H MeJgUiNPfcjeJOtilde[SX H MeJaumlKNihdNSZOslashJ H JLhEacutebaQcY(YJ HH [frac34f s ^OcirckBKEgraveJLhQCZOslashJUO H Y NihZJ KEgraveJLhYX[PhZOslashJU^ []O NYmWO H MJ H Qcb`QCZaringN[PJumlZaringNP^eJeumljeK [SXTNPO

Me[]Zaring[S[PJUOeJL[]jYYYBjNihZJ[SX9QcO H JUOYZQ H mwf s []O NIacutecentNPbl`[PhZ[]jO^ [SX9QcO H JUOYZQ H mtf s ^ []NPjYZYZQsNPOOe[]QcYJUacute[SXUiNihQcNPObnJ s QcY(NP^^eJU^ H [ H MQcY(YmWO H MJ H QcbOtildeQZaringN[PJS^MeJOtildeJUP[]fcj H QR[]Oa[SX H MeJTNPb H QVUPJtimesbn[]O H []jehUacute^ehQUPJUOcentmpounda2SjQcYu[]QVUPJUO`QcO not QV[^ WMQcfRJ H MeJ[]OeJ`[Pcent H NPQcOeJU^ jYZQcO[ a2Ogravemacr]j QcYordm[]QUPJUO QcO not QV[^ ^ J bLNPO hZJZaringNihY`H MN H WMeJUO H MeJoiexclQsObLfcj^eJUY H MJ NP^^Q H QR[]ONPf H JLhZaringYe H MJ YYBjNihZJ QcYgWFJUfcfYJ[]ZaringJUO H JU^acirca not QV[^ ^bjeuWMeJLhJUNPYWiexclMeJUO H MeJ |iexclD^e[BJUY Oe[ H QsObLfcj^eJ H MeJUYJNP^^Q H QR[]ONPf H JLhZaringYwWFJ7[Pcent H NPQcO N bLQRhbLfcJOacuteQcOY H JUNP^ [SX H MeJ7JkBKEgraveJUb H JU^YYBjNihZJa not QV[^ ^bj^MeJUYJhZJUYZjf H YNtildebLNPOcentEgraveJcentEgraveJ HH JLh(jO^eJLhY H [[W^WMQcfRJNPONPfmcurrenUQcOF[ H MeJiexclUPJUfR[WbLQ H mUPJUb H [PhYUacute[SXNtildeJUNPbMJUP[]fsj H QR[]O JjN H QR[]OO^ Jaringbn[]ZOslashKNihZJ H MeJ H WF[ JUP[]fcj H QR[]OYiexcl[SXH MeJlaquoUPJUfR[WbLQ H mwUPJUb H [PhYauml^jehQcO[ H MeJaeligKhZ[PKN[]N H Qc[]Oeuml[SX H MeJOslashbLjehYUPJwa2WiexclQ H Me[]j HH MeJcentEgrave[]jO^NihYmVcent-NPYJU^ H JLhlZb j^MeJ(JUP[]fcj H Qc[]OOslash[SX H MeJNSZOslashKfsQ H j^eJ[SX H MeJyacuteUPJUfR[Wb|VQ H mregUPJUb H [Ph[SXQ|iexcla2SjFQsY[]QUPJUO QcO not Q[aqYj^ ^ ^OecurrenJSe Xfrac34]eWMQsfRJ H MeJOtildeNSZOslashK-fcQ H j^eJ[SX H MeJUPJUfR[WbLQ H mwUPJUb H [PhOtilde[SX||iexclacirca2Ogravemacr]jiexclQcY []QUPJUO`QcO not QV[aqYj^ ^ ^OecurrenJSe Xfrac34]^ JOslashbLNPO[PcentYZJLhYUPJ H MN HaringH MeJUPJUfc[BbLQ H msup1WiexclQ H Me[]j HaeligH MeJNP^^Q H QR[]ONPf H JLhlZaringY QcYaeligNbn[]OY H NPO HWMJLhZJ [PcentUWQR[]jYfVm H MJaQZaringN[PJfrac34XJUN H jehJUY ^e[OacuteO[ H NiKKEgraveJUNih^ q O H MeJabn[]O H hNihYmH MeJaumlQCZaringN[PJordfXJUN H jhZJUYuWFJUfcfNiKKEgraveJUNihQcO H MeJordfUPJUfR[WbLQ H m QcObLfcj^QcOF[ H MeJaumlNP^^Q H QR[]ONPfH JLhlZ Yya not QV[aqYj^ ^ ^OecurrenJSe Xfrac34jiexclNPO^ Y[ H MeJaumlYljNihJTbLNPO centEgraveJordfWNtildeJUfsfYJ[]ZOslashJUO H JU^O^MeJyKhZJUWQR[]jYEgravehJUYZjf H YgYMe[W H MN H Q H QcY[SXeKhQCZOslashJ$OeJUbnJUYZYZQ H m H [ H N`PJQcO H [NPb|Vbn[]jO H0H MJNP^^Q H QR[]ONPf H JLhZaringYeWbn[]ZaringQcO[XhZ[]Z hZJ[]QR[]OeV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhYeQcO[Phd^eJLh H [ hZJUNPbdMaN H hdjeJgZaringQcOQCZIacutejFZ [SX H MeJaumlbnhQ H JLhdQR[]OO^

uumlnyacutenthornnyumll13YSordmY_F

S $amp)(+-)013021+345627893lt=gt9A6CBEIumlparaacuteAgravegtmicrosup1acuteIKJcedilJT2MgtI MraquoordfAEligMgtsup32MLwMKmicrobMgtAgraveacuteIshyacuteMgtPltAtilde iquest acuteAgraveKT13MKIshyAtildeAcirclaquocedilFAtildeacuteNicircMKIJfrac14ltacutepoundAEligMAringcedilFLT2cedilIltR]acuteHcedilJLTOcircfrac12sup3T13ROgravecedilJT2MgtI JMAgraverltcedilFR]acuteacuteJacuteR]JT2MgtIicircT2ItT2NQacuteM paraacutePshyacuteIltR]acuteAtildeMQcY0K-Nih H ^eJUNPfcYWQ H M H MeJOtildeYJ[]ZOslashJUO H N H QR[]O [SXMe[]ZOslash[S[PJUOeJL[]jY(hZJ[]QR[]OYQcOZtimesjfuVH QcYZK=JUb H hdNPfQZaringN[PJUY^ YNPOaJkWNSZaringKfRJSeWFJIacuteYZMe[W H MN HiexclH MeJTbn[UiNihQcNPObnJZaringN H hQVkbLNPOacent=JIacuteNUPJLhYm KEgrave[WFJLhYXqjf H [B[]f H [ YJ[]ZOslashJUO H Me[]Zaring[S[PJUOeJL[]jYbn[]fR[PhiexclhJ[]QR[]OY^F5OXqNPb H e H MeJtimes^eJ H JLhlZaringQsONPO H [SX H MeJTbn[U~NihQsNPObnJZ N H hQkKhZ[UPJUY H [ centEgraveJIacuteNaringhJUfRJU~NPO Hbn[]fR[PhaelighZJ[]Qc[]O7M[]ZOslash[S[PJUOeJUQ H msup1ZOslashJUNPYZjhZJZOslashJUO H a G NPO[SWQcOeJ NPO^r[PhdOeJSeufhShSi]j^_`QcOQZ QVcurrenUQcO[ H MQcYjNPO H Q H m ZOslashJUNPOY H MN H WFJwWNPO HH [^eJUbnhZJUNPYJ H MeJeumlbn[]ZaeligVKfcJkWQ H m[SXUacuteNeumlhZJ[]QR[]Oa hdNmJ H NPfd^Ve sSs fampN H JUjke sSsSs j^MQcY H [B[]fuZaringNmKhdNPb H QcbLNPfcfVm cent=JaumljYJU^X[Ph XiacuteNPbnJtimes^eJ H JUb H QR[]OaQsO QZaringN[PJaumlYJBjeJUObnJUY^macr^f^laquoIgraveIcirc=KEgrave(FETHOEacuteltEgraveIcircEcircgtNtildeltIcircIgrave8 EacuteshyOacute ETH9IgraveAgrave=Eacute3+NtildeshyEgrave13NtildeshyOacute=KIgravefrac34Iacute_NtildeFETHEgraveEcirc20EacuteshyEgrave=EacuteshyEumlEacuteshyEgrave2Iacute Ntilde4ltIgraveIcircMJQcO H JUOYZQ H mxXiacute[Ph bn[]fR[Ph QCZaringN[PJUYaringQcYOslashhJLKhZJUYJUO H JU^centm7NpoundXiacutejOb H QR[]OOtildeegravearingOumlOtilde 13ordfcent ntilde Otilde 13 WMeJLhZJ Otilde aacute Otilde szligYOtildeOgravecentszligYOtilde13ordf ^iexclXm NPONPfR[S[SmAumlWQ H M H MeJOacuteY H j^Fm Xiacute[Ph[PhZJmWYZbLNPfRJFQZaringN[PJUYeWNtildeJZaringQcOQCZaringQVcurrenLJ H MeJNtilde^J H JLhlZaringQcONPO H [SX H MeJFbn[UiNihQcNPObnJcopyZaringN H hQVk[SX H MeJTbn[]OYQc^eJLhZJU^hZJ[]Qc[]OY^ J5ZaringNmaringNPYYZjFZOslashJ H MN H JUNPbdM bn[]fR[PhFhZJ[]QR[]Oacute13 QsYOcircZOslash[W^eJUfcfRJU^OslashcentmOslashNg[]NPjYYZQcNPO^QsY H hQRcentj H QR[]Oeuml[SXyacuteZOslashJUNPOiexclSegraveaacute S szligPS cent szligPS NPO^7bn[UiNihQcNPObnJZ N H hQk5^MeJKh[PcentNicentQcfcQ H maring^eJUOYQ H moXiacutejOb H QR[]O QcYu[]QUPJUO centm H MeJgXiacute[]fcfR[WQcO[aeligJkWKhZJUYZYQR[]OOaring

$ampamp aOtildejOcircaacute fa )( j +cent aq^J H ayacutejj cent JkWK- f aOtilde Sltj thorn aOtilde Sltj a2Ograve]jG [eZaringQcOQZaringQVcurrenUQcOF[ H MJbn[U~NihdQcNPObnJuZaringN H hQktimes^eJ H JLhlZaringQcONPO H [SX-NPOtimesJUP[]fVUWQcO[hJ[]QR[]ONiKKEgraveJUNihY H [OslashcentEgraveJNtimeshZJUfcJU~NPO HH [[]f H [ordmZaringN`PJ H MQcYFhZJ[]Qc[]O bn[]OUPJLhY[PJ H [WFNih^Y H MeJbLfR[]YZJUY H Me[]ZOslash[S[PJUOeJL[]jYbn[]fR[PhiexclhZJ[]QR[]OO^9J H jY$Oe[ H J timesOslash NPO^0copyUgraveUcircUacuteUuml H MJbn[UiNihQcNPObnJ5ZaringN H hQcbnJUYy[SX=hJUYKEgraveJUb H QVUPJUfVmordmOuml timesOslash aagravejNPO^tOuml UgraveUacuteUuml aagravejaring

atilde aacute213 u Patilde u centatilde u atildeu cent atilde u centcentatilde u cent4atildeu5 atilde u5centatilde u54atilde67 a2zSj

WMJLhZJSaringEFFG FFH u times aumlatilde aacute iacutefaring w aring thorn yuml aOtilde times S times atilde jaOtilde auml S auml atilde j atilde aumlS times atilde aacute iacutefaring w aring thorn yuml Otilde times a2atildeltszligaumlj atilde auml WQ H M aacuteiVIgraveOacute[Ph Kf5

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ J [PcentUWQR[]jYZfm`MNUPJacuteu times aumlatilde aacuteu auml timesatilde ^shy9J H jYaumlO[ H J ^eJ H a atilde j H MJ ^eJ H JLhlZaringQsONPO H [SXH MeJaumlbn[U~NihdQcNPObnJZ N H hQkWiexclMQcbMJkBKhJUYZYZQR[]O QcY H MJgX[]fsfR[WQsO[aring

^eJ H a atilde jumlaacute u Patilde u centcentatilde u 4atilde u centatilde u atilde u cent4atilde u Patilde u cent4atilde u cent4atilde u centcentatilde u atilde u atilde u 4atilde u centatilde u centatilde a2Ogravei]jnot jOb H QR[]OY [SX H MeJeumlbn[UiNihQcNPObnJpoundZaringN H hQk ^eJ H JLhZaringQcONPO H YNihZJ jYJU^ NPY hJ[]QR[]O^eJUYbnhQRK H [PhY^ JIacutebMe[B[]YJ H MJordfX[]fcfc[WQcOF[aeligYZJ H [SX$^eJUYZbnhQRK H [PhYaringEFG FH uuml thorn UgraveUcircUacuteUuml yuml aacute98ordfaq^eJ H acopyUgraveUcircUacuteUumlAjjuuml thorn timesOslash yuml aacute98ordfaq^eJ H a timesOslash jjuuml thorn otilde)yuml aacuteOslashb a2Ograveh]jWMJLhZJ8ordfaOgravejFQcYNOslashKEgrave[]YZQ H QVUPJiexclXiacutejOb H QR[]O [SXampbLfcNPYZYograve aOtilde 13yjFNPO^Cb`NOslashKEgrave[]YZQ H QVUPJOtildebn[]OWVY H NPO H ^gJ H jYNtildeOe[W WhQ H J H MeJJUP[]fcj H Qc[]OaringJBjN H QR[]O [SX H MeJiexclNPb H QUPJbn[]O H []jehcentmbn[]ZOslashK-j H QcO[ H MJIacute^QEgraveJLhZJUO HH JLhlZaringYiexcl[SX_a j^J H NPQcfcYiexcl[SX H MeJIacutebn[]ZaringKj H N H QR[]O bLNPOcentEgraveJgXiacute[]jO^QsOaNiKKEgraveJUO^QVk X5^gtMJaumlJUP[]fcj H QR[]O`JBjN H QR[]O[SX H MJIacuteNPb H QVUPJaeligbn[]O H []jhQcY H MJgX[]fsfR[WQsO[aringaelig Yacuteaagravejaelig agrave aacute8gaq^eJ H atimesOslashjj 8ordfaq^eJ H a UgraveUcircUacuteUuml jj`b admacr s jlt8Icircraquodaq^eJ H a times Oslash jgt= ccedil A B egrave aOtilde S timesOslash jaOtilde B5 S BtimesOslash jB^eJ H aDC EBtimesOslash ja fj BGFH amp^eJ H atimesOslashj48 raquo aq^eJ H atimesOslashjj 8Icircraquodaq^eJ H a UgraveUacuteUuml jgt= ccedil I B egrave aOtilde Eacute S UgraveUcircUacuteUuml jaOtilde B S BUgraveUcircUacuteUuml jB^eJ H aDC JBUgraveUacuteUuml ja fj BKFH amp^eJ H a UgraveUcircUacuteUuml j48 raquo aq^eJ H a UgraveUcircUacuteUuml jjcedil13eacuteMJZaringN H hdQkLC JBatilde QsY ^JU^jbnJU^icircXh[]Z H MJeumlbn[U~NihdQcNPObnJbZaringN H hdQkM atilde centm YZjeKeVKhJUYZYZQcO[ H MeJ uuml UumlON hZ[WENPO^ H MeJ I UumlON bn[]fcjFZaringO^MeJeumlfcNPY H Xiacute[]jeh fsQcOeJUY [SX H MeJJBjN H QR[]ONihZJ H MeJOtildeNP^^Q H QR[]ONPf H JLhZaringY(bn[]ZaringQcO[XiacutehZ[]Z H MeJiexclU~NihQsN H QR[]O [SX H MeJOtilde^eJnVYZbnhdQRK H [PhYWiexclQ H Mordmagrave^ Y0Q H MNPYycentEgraveJLJUOOslashKhJUBQR[]jYZfVmTKhZ[UPJU^X[Ph[PhZJmWYZbLNPfRJiexclQCZaringN[PJUYeH MeJUYZJ H JLhlZaringYMNUPJ H [ cent=Jaumlbn[]OYZQc^eJLhZJU^ QsO[Ph^eJLh H [regZ N`PJ H MeJTNPb H QUPJTbn[]O H []jhbn[]OUPJLhY[PJ H [WFNihd^YNZ QcOQZtimesjFZ [SX H MJTbnhQ H JLhQc[]OO^macr^ ^~THORNUgrave2FIgraveFEgrave2Iacute_IgraveFOacuteshyETHOgraveNtildeshyEumlEgraveOIgraveIcircdEumlETHOIcircnot [Ph H MJ JkWKEgraveJLhQZOslashJUO H YeQWNtildeJ H N`PJCntildea]jordmaacute ILK Kaf[]jgWMQsbMsup1[]QVUPJUYnntilde raquo aOgravejaacutefdOafWOgravej(NPO^8ordfaOgravejaacute ILK KafIcirch cent juWMQcbdMt[]QVUPJUY8 raquo aOgravejaacute ETHOafIcirch cent j^ JbdMe[[]YZJ bbaacute f s ^QMeJaringbn[]fR[PhtimesYKNPbnJ YJUfcJUb H JU^QcYaQPszlig l szligicirclaquojeltWMeJLhZJwaOtilde aacuteRPordmjhZJLKhZJUYJUO H Y H MeJfsjFZaringQcONPObnJNPO^waOtildeOgravecent5aacute l j$NPO^frac34aOtildeS aacuteOslashicircj$hZJLKhZJUYJUO HyH MeJ H WF[bdMehZ[]ZaringQcONPObnJUY^ not [Ph H MeJbn[]ZaringKj H N H QR[]OOslash[SX H MeJuUiNihQcNPObnJSei[]Ofm H MeJfcjZaringQcONPObnJQcY(jYJU^O^

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CB5Oaring[Phd^eJLh H [aeligYJ[]ZOslashJUO H NPO Me[]ZOslash[S[PJUOJL[]jY0hJ[]QR[]OOeOgraveWFJiexclY H Nih H WQ H M NPO QcOQ H QcNPf

bLjehlUPJ0QcOYZQs^eJ H MJ0hZJ[]QR[]Oauml[SXWQsO H JLhZJUY H ^MeJybLjhYUPJ0QcY H MJUOTYZjeKK=[]YZJU^ H [JkWKNPO^jO H Qcf(Q H hJUNPbMeJUY H MeJ centEgrave[]jO^NihlmOacute[SX H MeJabn[]ObnJLhdOeJU^ Me[]Zaring[S[PJUOeJL[]jYaringhJ[]QR[]OO^MJtimesbLjehlUPJtimes^e[BJUYUacuteOe[ H [P[cent=JmP[]O^ H MJUYJaeligcent=[]jO^NihQRJUYiexclYZQcObnJSe=[UPJLh H MeJLhZJSe H MeJbnhQ H JLhQR[]OOacuteQsObnhZJUNPYJUYtimescentEgraveJUbLNPjYJ H MeJU~NihdQcNPObnJOcircu centtimesOslash [Ph H MeJ bn[U~NihdQcNPObnJtZaringN H hQVk^eJ H JLhZaringQcONPO H ^eJ H atimesOslashjUcirccentOtildeQsObnhZJUNPYJS^MeJaringNPfV[P[PhQ H MZEcentNPYJU^[]O H MeJ bn[UiNihQcNPObnJZaringN H hQVkeumlQcYaumlK=JLhlX[PhlZaringJU^euml[]ONPOQZ N[PJ [SX H MeJUBQs^eJL[`YJBjeJUObnJrnN`WQVmP[]peumlQcO[Ph^JLh H [euml^eJ H JUb HaeligH MeJYKEgraveJUN`PJLhUTYXqNPbnJS^gtMJaumlJUP[]fcj H QR[]O[SX H MJIacutebLjehYUPJIacuteQcYu[]QVUPJUO QcO not QV[^ macr^gtMeJTbn[]O H []jehiexclJUP[]fUPJUYH [ONPfcfVmbn[]OUPJLhY[PJaelig[]O H MeJIacutecent=[]jO^NihQRJUY[SX H MJyXqNPbnJa not QV[^ macr^bj^OMeJyXiacuteNPbnJaeligQcYH MeJUONPbLbLjehdN H JUfVm YZJ[]ZOslashJUO H JU^^FMeJUacuteNSZOslashKfcQ H j^eJ[SX H MeJiexclUPJUfR[BbLQ H m QsYFNPfsY[laquo[]QVUPJUOQcO not QV[aqYj^ macr^ ^OecurrenJSe Xfrac34jNPO^WNtildeJUacutebLNPO [PcentYJLhYUPJ H MN HFH MeJ5XiacuteNPbnJUacutehZJ[]QR[]O QcYUPJLhYmWFJUfcf^eJUfsQZaringQ H JU^regXhZ[]Z H MJ[ H MJLhhZJ[]QR[]OY^MJ5UPJUfc[BbLQ H m[]QUPJUO QcO not QV[aqYj^ macr^ ^OecurrenJSe XQcObLfcj^eJUY H MeJNP^^Q H Qc[]ONPf H JLhlZaringYFbn[]ZaringQcOF[yXiacutehZ[]Z H MeJ5UiNihQcN H QR[]O [SX H MeJiexcl^eJUYbnhQRKeVH [PhY5WQ H Magrave`centj H ^e[BJUYOtildeOe[ H QcObLfcj^eJ H MeJaeligcentEgrave[]jO^NihlmVcentNPYZJU^ H JLhlZ WMQcbMeumlQcYUacuteNYYZaring[[ H MQsO[ H JLhlZ^KMeJtimesNSZOslashKfcQ H j^eJOtilde[SX H MeJyUPJUfc[BbLQ H maQcYiexclOe[PhlZaringNPfcQcurrenLJU^ centEgraveJ H WFJLJUOs NPO^ macrSmacre$YZjbdM H MN HTH MeJ OeJ[]N H QVUPJoU~NPfcjJUYIacuteNihZJ fR[WFJLh H MNPO f i`NPO^ H MeJKEgrave[]YZQ H QUPJ[]OJUYNihZJTMQ[]MeJLh H MNPOpoundf i^ J bLNPObn[]ZaringKNihZJ H MJ QcOQ H QsNPfUPJUfR[BbLQ H m[Pcent H NPQcOJU^jYZQcOF[ H MeJ bn[U~NihQsNPObnJZaringN H hdQk admacr s juWQ H M H MeJOtilde[]OeJOtilde[Pcent H NPQcOeJU^jYQcO[ H MeJordfUiNihQcNPObnJrega2Sj^KMeJordfXqNPbnJTQcYOe[ H WNtildeJUfsf9^eJ H JUb H JU^QcO H MeJUPJUfR[BbLQ H m[Pcent H NPQsOeJU^ajYQcO[ H MeJUiNihQcNPObnJa not Q[^ ^bjWMJLhZJUNPYIacuteQ H QcYIacutehZJUNPfcfmumlWNtildeJUfcfF^eJ H JUb H JU^QsO H MeJQcOQ H QcNPfUPJUfR[WbLQ H m7jYZQcOF[ H MeJbn[iVUiNihQcNPObnJpoundZ N H hQk a not QV[^ ^currencentj^_MeJ UPJUfR[WbLQ H m [Pcent H NPQcOeJU^ jYZQsO[ H MeJumlU~NihdQcNPObnJ^e[BJUYOe[ H NPfsfR[W NPOJltz bLQRJUO H YJ[]ZOslashJUO H N H QR[]O`[SX H MeJyXiacuteNPbnJauml[]O H MeJaumlbn[]O H hNihYm H [H MeJIacutebn[UiNihQcNPObnJlaquoZaringN H hQk^eJ H JLhZaringQcONPO H WMQsbM H N`PJUYUacuteNP^UiNPO H N[PJaelig[SX H MeJtimesbn[]fR[PhQcOFX[PhlZ N H QR[]OO^macr^ ^WVFEumlETH=gtNtildeFETH32EacuteltOacuterETHEacute`0Ntilde=KIgravek8ltIgraveFETHIgrave5=KETH32EacuteltOacute~2Oacute+(8ltIgraveEacute IcircIgrave5euml1IgraveFOacute=KIgraveIcircMJa^eJUYZbnhQcK H [PhYOslashcentNPYZJU^[]O H MJ`bn[UiNihQcNPObnJZaringN H hdQkNihJ`QZOslashK-fRJZOslashJUO H JU^ H [^eJ H JUb H MBjFZaringNPO XqNPbnJUYQcO UWQc^eJL[OacuteYJBjeJUObnJUY^MQsYaring^eJ H JUb H QR[]OegraveZaringNm cent=J`jYJU^Xiacute[PhtUWQc^eJL[ bn[B^QcO[ H [JUObn[W^eJYJUfcJUb H QVUPJUfVm H MeJOacuteMBjFZaringNPOegraveXqNPbnJS^ not [Ph`N []QVUPJUObn[]ZOslashKhZJUYZYZQR[]OOacutehN H QR[e H MeJoXiacuteNPbnJbLNPO7cent=J H hNPOYYZ Q HH JU^bWiexclQ H MN MQV[]MJLhThN H J H [H MeJ^eJ H hdQZOslashJUO H [SX H MeJcentNPbl`[Ph[]jO^O^uMQsY QsO H JLhZJUY H QcO[KhZ[PKEgraveJLh H m QcYUiNPfcjWVNicentfcJuX[PhUBQc^JL[Bbn[]OXiacuteJLhZJUObnJUYe]WMeJLhZJ H MeJ ZOslash[]Y H QZOslashKEgrave[Ph H NPO H NPO^regZOslash[]Y H U~NihdQcNicentfRJQcOFX[PhlZ N H QR[]OQcYfR[WbLN H JU^ []O H MJordfXiacuteNPbnJaq 5ZOslash[]Oe[]j`NPO^tUacutejMNSZaringJUfde sSsSs j^ J QcOQ H QcNPfcQVcurrenLJ H MJhdY H XiacutehNSZOslashJoWQ H M7N`bLQchbLfRJ QsOYZQc^eJ H MeJXqNPbnJ H [ H hNPbY`K^MJUOOeyacuteWFJsup1ZaringN`PJ H MeJNPb H QVUPJ7bn[]O H []jeheumlJUP[]fVUPJjYZQcOF[admacr s jeiexclWQ H MX8ordfaOgravejxaacuteILK KafUgravemiddot cent j^ltMeJregONPfybn[]O H []jehtimes[SX H MeJ bLjehZhJUO H QZaringN[PJ QcY H MeJUOOacutebdMe[]YJUO7NPYNPO QcOQ H QcNPfbLjhYUPJordfX[Ph H MJUacuteOJk H QZaringN[PJS^FMeJOtildeNPfV[P[PhQ H MFZMNPYcentEgraveJLJUOKEgraveJLhYXiacute[PhlZOslashJU^[]OYJUPJLhdNPf$YJjJUObnJUY^MeJaelighZJUYjf H Y5X[Ph H MJaeligYZJjeJUObnJpoundn5JLhQV`p NihJordm[]QVUPJUOQcOnot QV[^ethz^shyMeJaringKNihNSZaringJ H hZJ bMNPYaumlcentEgraveJLJUOYZJ HaumlH [sup1f s ^QMeJordmXqNPbnJ QcYordfWFJUfcfy^J H JUb H JU^NPO^ H hNPbY`PJU^times[]O H MJ|WMe[]fcJyYJjJUObnJS^MJyhZJUYZjf H YOX[Ph H MeJNtildeYZJjeJUObnJnN`WQVmP[]p

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ macrNihZJy[]QVUPJUO`QsO not QV[^ i^ JaeligbMe[B[]YJbaacute s ^ JtimesbLNPO`YJLJ H MN HH MeJXiacuteNPbnJaeligQcYuWFJUfcf^eJ H JUb H JU^aJUPJUOaQVX H MeJaumlbn[]fR[Phiexcl[SXMJLhYZMQRh H QsY(bLfR[]YJ H [ H MJgXiacuteNPbnJIacutebn[]fR[Ph^

YOEAEligMgtIltROgravesup3PshyAtildeT13MKI5O H MQcYKNiKEgraveJLheuWNtildeJKhZ[PKEgrave[]YJN OeJW 0jfRJLhQcNPOAumlZaringQsOQZaringQVcurrenUN H Qc[]OAumlZOslashJ H Me[W^ H [bn[]ZOslashK-j H J H MJUPJUfR[WbLQ H mpoundUPJUb H [Pharing[SXNPONPb H QVUPJ bn[]O H []jeh H MN H JUOYZjehZJUYtimesQ H WQcfcfJUP[]fVUPJ NPYordfXiacuteNPY H NPYOtildeKEgrave[]YZYZQRcentfcJ H [WNih^YIacuteNZaringQcOQCZIacutejFZ [SXN bnhQ H JLhQR[]OeumlQcObLfcj^QcOF[centEgrave[ H MUacutehZJ[]QR[]OeVcentNPYJU^TNPO^OtildecentEgrave[]jO^NihYmVcentNPYJU^ H JLhlZ Y^ q jehgNiKKhZ[]NPbMIacuteQcYcentNPYZJU^Otilde[]OYZMNiK=J[PK H QZaringQVcurrenUN H Qc[]OOslashKhQcObLQRKfRJUY$NPO^ QcYyKEgraveJLhYXiacute[PhlZOslashJU^ QcO H MehZJLJ5ZaringNPQcO Y H JLKYaringf^ltO H hZ[W^jb H QR[]O[SX$NOslash^mWONSZaringQcbLNPfYbMeJZOslashJIacuteQcO H MeJTbnhQ H JLhQR[]OOe ^vF[]ZOslashKj H N H Qc[]Oaelig[SX H MeJ_0jfRJLhdQcNPOaelig^eJLhQVUiN H QVUPJ[SX H MJbnhQ H JLhQR[]OOslashjYZQcO[OtildeYZMNiKEgraveJ

[PK H QZaringQVcurrenUN H Qc[]O H [[]fcYe^vF[]ZOslashKj H N H Qc[]Oa[SX H MeJtimesJUP[]fcj H Qc[]OaJBjN H QR[]O`[SX H MeJaeligNPb H QVUPJtimesbn[]O H []jehiexclXiacutehZ[]ZH MeJT^eJLhQU~N H QVUPJS^

iexcl Ntilde _ cent G NPfcfR[WY H [hJUNP^QcfVm H N`PJNtildeQcO H [NPbLbn[]jO H9H MeJybLNPYJ0[SXBhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H^eJUYbnhQRK H [PhY H MN H NihZJo[]fR[PcentNPfcfVmN HH NPbdMeJU^ H [ H MeJ JUP[]fVUWQcO[ hZJ[]QR[]OYtimesNPO^Y[H MN H UiNihYm^jehQsO[ H MJaumlKhZ[PKN[]N H Qc[]O [SX H MJaumlbLjehYUPJS^ JTYMe[W H MN HH MeJgUiNihQuVN H QR[]O [SX H MeJUYJ^JUYZbnhQRK H [PhdY QsO^jbnJUYNP^^Q H QR[]ONPf H JLhlZaringYQcO H MeJeumlJUP[]fcj H QR[]OJBjN H QR[]Oeuml[SX H MeJaringNPb H QVUPJ bn[]O H []jeh^MJUYJ H JLhlZaringYgZtimesjY H Oe[ H centEgraveJlaquoX[Phl[P[ HH JUOQcO[Ph^JLh H [ hZJUNPbMeumlN H hjeJZ QcOQZtimesjFZ[SX H MeJtimesbnhQ H JLhQc[]OaNPYUacuteQ H MNPYcentEgraveJLJUOKEgrave[]QcO H JU^[]j H QsOJkBKEgraveJLhQZaringJUO H NPfEgravehZJUYjf H Y^

Yfrac34XiacuteNiheumlNPYeumlMe[]ZOslash[S[PJUOeJL[]jYeumlbn[]fR[PheumlhZJ[]Qc[]OY`YZJ[]ZOslashJUO H N H Qc[]OQsY`bn[]ObnJLhdOeJU^OeWFJKhZ[PKEgrave[]YJ H MeJ`bn[U~NihQsNPObnJfrac34ZaringN H hdQk^eJ H JLhlZaringQcONPO H NPY N^eJUYbnhQRK H [Ph^MQcYY H N H QsY H QcbLNPfhZJ[]QR[]OeV4^eJLKEgraveJUO^eJUO H ^JUYZbnhQRK H [PharingNiKK=JUNihdY H [centEgraveJN UPJLhlm7hJUfRJU~NPO HH [B[]fampNPO^eumlY[ Q H MNPYUacutecent=JLJUOeumlYZjbLbnJUYZYXqjfcfVm NiKKfsQRJU^ H [XqNPbnJaring^eJ H JUb H QR[]OQcOfrac34UWQc^eJL[YJBjeJUObnJUY^

iquest acuteraquoacuteLacuteIltR]acuteAtildeagraveIgravefrac14dEcircsup1Atilde5AringiquestLmiddotNtildeIumliquestUumlgIumlUTHORNampAtildeEacutecedilAtilde5AringAcircnAtilde|iquestaacuteIacuteIumlIZEgravefrac14Zcedilfrac12frac14dAringiEcirc]iquestfrac14draquoiEcirc[NtildeIumlagraveAringEacutePAtildecedilwAacute4] uacute_^J^J^ iquest)` igraveraquoLCcedilfrac14cedil4Ecircfrac14draquo~Ecirc(Auml|AringAacuteCcedilfrac14Zcedil4Ecirc

Agrave5AringcedilAcircnAtilde$AtildeAcircnAuml|frac12AringAacutesup1AumldraquoTAringAEligwsup1raquo~ordm(frac12Atilde5AcircnAtilde5frac12AEligwAtildeAacuteampIgrave(Atilde AacuteIcirc~AumlUEcircSaIumligraveraquo13] x4~rv p4PldrRtcoPl|Egraveod5v pv i4vodaumlx4shyl not vsectpqo v tu not Iumlcb$Auml|EacutePAtilde|iquestednfrac14Oumlifrac14draquoIuml

agraveIgrave(Aumldraquo~Auml|Aringiquest~igrave4IumlPfrac14raquoiEcircfWIumliTHORNampAringIcircifrac14Igrave(Atilde5frac12G] divideugrave|ugrave|ugrave iquest` igraveAacuteAtildecedil4frac14ZAacutesup1Acirc|AtildeNtildeEacute~frac14dAgrave4UgraveUCcedilEgravefrac14cedil4EcircUacuteAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoUacuteOgraveregAumldcedilIcirc~sup1Atildecedil4frac14cedilAgrave4Icirc~sup1currenEumlAgravefrac14dfrac12=CcedilEgravefrac14AcircnAtilde5frac12AtildeAacutesup1Igravefrac14ordm|AtildeAgrave5AumlUEcircsup1raquo~ordmIaIumlaeligigraveiacuteraquoS] x4rv p ildrRtcodil|ampod5v pv P4vOtildeodOslashx4shy(l not vFsectpqo v tu not Iumlg frac14raquo~Agrave5AumldAring~AcircnAtildecediliquestehEgravefrac14raquoifrac14|Ecircfrac14Iuml

agraveAringEacutePAtildecedilwAacuteiquest[NtildeIumlWfrac14raquoiEcircifWIuml13b$Aumldcedilraquo~OumlcedilAuml|EacuteAEligqAacute4] divideugrave|ugraveuacute iquestkj ldrregv shy(ldrRtcl|ipwonm5v shyNtildetuOslashtushyl not vampipwo4v tu not sect9ldp4rRtcl|Egravedt lv pv ~rRtRl|9vDm~lrRtcod~ldiTrreg~vUacutel| Uiexcloqnldp4tcldrRtRod~ iquestpoAumlIuml uacute_qEr IumlOslashagrave9Ouml~Oumlfrac12sup1AtildeEcircaacuteUacutefrac14AacuteIcirc~AtildeIgravefrac14Aacutesup1Agravefrac14dfrac12BatildeAgravesup1Atilderaquo~Agrave5Atilde5AElig5iquestPatildeOumlcedilsup1raquoordm|Atildecedil g Atildecedilfrac12frac14dordmIumlhEgravefrac14dAEligwAtilde5frac12frac12Atilde5AElig5iquest g Iumliquest~szlig0Iumleb$sup1Igrave(Igrave(Atilde5frac12Riquestifrac14raquoiEcirc[NtildeIumlatildefrac14dOumlsup1cedilAumlI] uacute_^J^Er iquest`s[Atilde5AumlUEcircAtilde5AEligwsup1AgraveFfrac14dAgraveAacutesup1AcircnAtildeyAgrave5AumldraquoUAacuteAumldAringcedilAElig_aIuml x4~rv p4PldrRtcodPldpoundUodUp4Pl|WoqodshyiUrv paumlumltutcodutet13v uacute+w iquestex uacuteyIrz^ Iuml

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CBh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34LiquestBagraveyIumlWfrac14raquoiEcircidIumlBTHORNampAringraquo~Agravefrac14raquo13] uacute4^z^J^ iquest`[ampfrac14Igrave(AtildeEumlcAacuteIcirc~Atilde5AumlcedilAtildeAacutesup1Agrave(sup1raquoUAacuteAtildeordmdcedil4frac14Aacutesup1AumldraquoaeligOgraveuAumldcedil0sup1Igravefrac14dordmdAtildeAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIuml xQ|||~pwl~ lnrRtcodNtildeodiexclsect9lrRrv p auml9Pl| ~tuyldi j l|4Utu]vx4~rvreg t not v P4v Iumlh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34Liquestgagrave0IumliquestIumlgatildeUAacute4frac14dsup1Eacuteiquest9frac14draquoiEcircdIuml9THORNampAringraquo~Agravefrac14raquo13] uacute_^J^ xiquest` THORNampAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeIacuteEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34iraquo~Ecircsup1raquo~ordmsup1raquoIgrave(AtildeEcircsup1Agravefrac14frac12iexclsup1Igravefrac14ordm|Atilde5AEligaringEacuteLfrac34Oacutesup1raquoLAacuteAtilde5ordmcedil4frac14Aacutesup1raquo~ordm ordmdcedil4frac14|Ecircsup1Atilde5raquoLAacute frac14raquoiEcirccedilAtilde5ordm|sup1Auml|raquo sup1raquoOgraveuAumldcedilIgravefrac14ZAacutesup1Auml|raquo13aIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu notI iquesteE ^4y rdugrave Iumlh=Icircifrac14raquoiquestBETHIumlWfrac14raquoiEcircIuml g Atilde5AEligwAtildeJ] dividedugravedugraveuacute iquest` agraveAgraveAacutesup1AcircnAtildeFAgrave5Auml|raquoLAacuteAuml|AringcedilAElig$Ccedilgsup1AacuteIcircAuml|AringAacuteNtildeAtilde5Ecircordm|AtildeAElig_aIuml xQ||k|~pwld lnrRtcododUacutex4shy(l not v9sectpqo4v 4tu notuU v divideJw iquest divide xJx ydividezrJr Iumlh=Icirc~Atilde5AEligwraquo~frac14dAring~EcirciquesthIumliquestfWIuml=szligAtildeOgraveYacutecedilIAtilde5ordm|sup1Atildecediliquestfrac14draquoiEcirc g Iuml5Z=AumldAring~frac12AtildeAacute4] uacute_^J^z^ iquest`currenatildeUAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12cedilAtilde5ordmdsup1AumldraquoAEligwraquoifrac14dUgrave|AtildeEumlsEacuteifrac14dAEligwAtilde5EcircAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquofrac14|Ecircfrac14dOumlAacuteAtilde5EcircFAacuteAumlyEcircsup1s]AtildecedilAtilde5raquoLAacute-Ouml~IcircLfrac34AEligwsup1Agrave5frac14dfrac12~raquoAuml|sup1AEligwAtilde9Igrave(AumlUEcircAtilde5frac12AElig_aIuml xQ||k|~pqld~ lnrRtco~$osect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4vt iquest uacute|uacute_q y~uacute|uacute xIumlh=Auml|IcircAtilde5raquoiquestIuml] uacute4^z^uacute iquest`currenmiddotraquofrac14dAgrave Aacutesup1Acirc|Atilde Agrave5AumldraquoLAacuteAuml|AringcedilIacuteIgrave(AumlUEcircAtildefrac12AEligtimesfrac14draquo~EcirceumlEacuteifrac14dfrac12frac12AumlLAuml|raquoAElig_aIuml odshyiUrv pumltutcod pwl Utc0ldix4shyl not vsectEgravepwo4v tu not x4shyl not vOtildePnv p rsldidtu not) iquest divideUuacuteduacuteydivideLuacute UIumlh=Auml|IcircAtilde5raquoiquestSIumliquestUumlIuml13ZEgravefrac14cedil4Ecircsup1raquo~AtildeAacuteiquestfrac14raquoiEcircoNtildeIumlagrave9frac34Lfrac14dAgrave4Icirc~AtildeJ] uacute_^J^z iquest`atildeUAringcedilwOgraveufrac14dAgrave5Atilde0cedilAtilde5Agrave5Auml|raquoAEligqAacutewcedilAring~AgraveAacutesup1AumldraquotimesAring~AEligwsup1raquoordmfrac14AgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilaumlIgrave(AumlUEcircAtilde5frac12AElig_aIuml igraveiacuteraquoS] Lsect=xQ|od5v pv P4v od vwodshy(v rRp tc j v rregodtimestuodshyiUrv pumltutco Iuml~atildefrac14raquoUacuteTHORNampsup1Atilde5ordm|AumliquesthEgraveagraveyIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquestEgraveUumlIuml] dividedugrave|ugravedugrave iquest`currenatildeAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquo Ouml~frac14cedilAgrave5Auml|raquoLAacuteAuml|AringcedilAEligUacutefrac14AgraveAacutesup1currenOgraveuAEligUacuteAtilde5raquosup1Igravefrac14dordmdAtildecedilsup1AtildeIacuteIgraveAtilde5Ecircsup1Agravefrac14dfrac12AtildeIacuteEcircfrac34UEumlraquoifrac14dIgrave(sup1ecircLAring~Atilde]ampfrac14Ouml~Ouml~frac12sup1Agravefrac14ZAacutesup1AumldraquoAtilde5raquoeumlAgravefrac14Zcedil4Ecircsup1Auml|frac12Auml|ordmdsup1Atilde raquoUAring~Agravefrac12Atilde5frac14dsup1currencedilAtildeJaIumlfIcircIuml THORNFIumlAacuteIcirc~Atilde5AEligwsup1AElig5iquestraquo~sup1AcircnAtildecedilAEligwsup1currenAacutefrac34`AumlOgraveosup1Agrave5AtildeEumliacuteatildeAumldOuml~Icircsup1Yacutefrac14NtildeagraveraquoLAacutesup1OumlPAuml|frac12sup1AElig5iquestPeacutecedil4frac14raquo~Agrave5AtildedIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquest|UumlIumliquestUaacuteIacuteIumlEZEgravefrac14cedilfrac12frac14dAring~Ecirciquest[NtildeIumlLagraveAringEacutePAtildecedilwAacuteiquest|frac14draquoiEcirc dIumlnTHORN$frac14ZcedilAgrave5Auml|AringcedilwAacute4] divideugrave|ugraveUuacute iqueste`currenatildeOuml~frac14dAgrave5AtildeEgraveAacutesup1Igrave(AtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14EumlAacutesup1AumldraquoUacuteAring~AEligwsup1raquoordmfrac12Atilde5AcircnAtilde5frac12AEligwAtildeAacutefrac14dAgraveAacutesup1AcircnAtilde$AgraveAuml|raquoLAacuteAuml|AringcedilAEligfrac14Ouml~Ouml~frac12sup1AtildeEcirciexclAacuteAumlFIgraveNtildefrac34LAumlLAgravefrac14Zcedil4Ecircsup1frac14dfrac12ordmnfrac14ZAacuteAtildeEcircOtildeatildeIf-UumlkhEgraveETHaIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu not t v rJw iquest)x qJ+y xJ ^ Iuml

THORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquest13iexclNtildeIumlfrac14draquo~EcircdIumlWaacuteAuml|raquoLAacute4frac14ordm|raquoifrac14ZAacute4] divideugrave|ugraveUuacute iquest` ETHBAumldOumlPAuml|frac12Auml|ordmfrac34Oslashfrac14raquoiEcircIacuteAEligwIcirc~frac14dOumlPAtildeAgraveAuml|raquo~AEligqAacutewcedil4frac14sup1raquoUAacuteAEligyAumldraquotimesOumlifrac14Zcedil4frac14EumlIgrave(AtildeAacutewcedilsup1AgraveOslashfrac14dAgraveAacutesup1AcircnAtildearingAgrave5AumldraquoLAacuteAuml|AringcedilAElig_aIuml odshy~rv pumltutcodldP x4shy(l not vPLv p4rsldPtu notcent) v divideJw iquestuacute_qnugrave4yiuacute4rUuacute Iuml[Auml|Igrave(Atilde5AElig5iquestpounddIumlfrac14draquo~EcircaringmiddotNtildeIumleacuteifrac14Aring~ordm|Atilde cedil4frac14dAElig_] divideugrave|ugrave|ugrave iquestcurren` szlig9Atilde5Agrave5Aumldraquo~Agrave5sup1frac12sup1raquo~ordmIacuteEcircsup1AEligqAacute4frac14draquoAgrave5AtildeOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligfrac14draquo~Ecircaeligfrac12Atilde5AcircnAtilde5frac12EgraveAEligwAtilde AacuteAElig_aIumlpoundUodUp il|WoqUacuteumltul|-odshyNtildeshyFU~tR4lrRtcodTldix4shyl not vampgvipv v rsldrRtcod ) iquest dividedugravez^+ydivideddividez Iuml[cedil4frac145frac34LiquestszligyIumliquestdIumlyen-Auml|Aringraquo~ordmiquestampfrac14raquoiEcircagrave0Iumlampagravesup1currenfrac34LAtildecedil4] dividedugravedugraveuacute iquest `aacutesup1raquosup1IgraveNtildeAring~Igrave Ecircsup1AEligwAgrave cedilsup1Igrave(sup1raquo~frac14Aacutesup1Auml|raquosup1raquoOgraveregAumldcedilIgravefrac14Aacutesup1AumldraquoAgrave5frac12Aring~AEligqAacuteAtildecedilsup1raquo~ordmI]Igrave(AumlUEcircAtilde5frac12sup1raquo~ordmTfrac14raquoiEcircOslashecircLAringifrac14raquoUAacutesup1Ocircfrac14ZAacutesup1Auml|raquoOslashCcedilgsup1currenAacuteIcirc ordm|frac14dAringAEligwAEligIgrave(sup1currenicircAacuteAringcedilAtilde5AElig_aIumlTigraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquest=atildePIumliquest=aacuteIacuteIumlkZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestEgravefrac14raquoiEcirc[NtildeIuml=agrave9Aring~EacutePAtildecedilwAacute4] dividedugrave|ugraveUuacute frac14Uiquest` agrave EumliacuteatildeUAacuteAtilde5Ouml frac14dfrac12ordm|Aumlcedilsup1currenAacuteIcirc~IgraveAring~AEligwsup1raquoordmcedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtilde=Agrave5Auml|raquoLAacuteAuml|AringcedilAEligeOgraveuAumldcedilAcircUsup1EcircAtilde5AumlAuml|EacuteUbrvbarqAtilde5Agrave AacuteAElig=EcircAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoSaIuml~igraveraquo13]psect xw j x4 sect odpDumlqo odUacutex4shy(l not v9Pl| ~tu5op j rRtushyvwdtclNtildex4rv pwlnrRtKndvy]v pntc4v IumliETHWfrac14dIgrave(OumlPAtilde cedilAtilde|iquestieacuteWsup1raquofrac12Yacutefrac14raquoiEcirc]Iumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquestUatilde]IumliquestUaacuteIacuteIumlUZ=frac14cedilfrac12frac14dAring~EcirciquestUfrac14raquoiEcirccopy[NtildeIumlUagrave9Aring~EacutePAtildecedilwAacute4] dividedugravedugraveuacute EacuteiquestA` szlig9Atilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14AgraveAacutesup1AcircnAtildegAgrave5Auml|raquoLAacuteAumldAringcedilAEligOgraveuAumldcedilAcircUsup1YacuteEcircAtilde5AumlaringAuml|EacuteUbrvbarqAtilde5Agrave AacuteOtildeAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo Ccedilgsup1currenAacuteIcircaAgrave5frac14dIgrave(Atildecedil4frac14OslashAgrave5AumldIgrave(OumlPAtilde5raquo~AEligfrac14ZAacutesup1Aumldraquo13aIumligraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquesteatilde]IumliquestWaacuteIacuteIumlZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestefrac14draquo~Ecirc[NtildeIumlBagraveAring~EacutePAtilde cedilwAacute4] divideugrave|ugraveuacute Agrave|iquestk` g sup1EcircAtilde5AumlUacuteAuml|EacuteUbrvbarqAtildeAgraveAacuteFAEligwAtildeordm|Igrave(Atilde5raquoLAacute4frac14Aacutesup1AumldraquoAring~AEligwsup1raquo~ordmIacuteAtilde5Aring~frac12Atildecedilsup1frac14draquo cedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAElig_aIuml igraveiacuteraquoS] x4rv p ildrRtcodil|yodv pwv P4vIacuteoodshyiUrv paumlumltutcod Iuml g frac14draquoAgrave5Auml|AringAcircnAtildecediliquestehEgravefrac14draquo~frac14|Ecirc~frac14UIumlbyfrac14dAEligwAElig5iquesteaacuteIacuteIumliquestWagrave0Iuml Ucirc sup1currenAacuteUgravesup1raquoiquestWfrac14raquoiEcirctimesTHORNFIumlWETHBAtildecedilOcirc5AumldOumlPAuml|Aringfrac12AumldAElig_] uacute4^ JUiquestk`currenatilderaquoifrac14UgravenAtilde5AElig_]WagraveAgraveAacutesup1AcircnAtilde(Agrave5AumldraquoLAacuteAuml|Aringcedil0Igrave(AumlUEcircAtilde5frac12AElig_aIumlx4~rv p4PldrRtcoPl|WpoundUop4PldWoqodshyiUrv pTumltutcod iquest ndivideUuacuteyUzndivide Iuml

aacuteUacutefrac14dfrac12frac12frac14|Ecircsup1ciquest~szlig0IumliquestedIuml]atildeUAtildeAacuteIcirc~sup1frac14raquoiquest~frac14draquoiEcircZIuml g Atilde5IgraveNtildeAringcedilsup1G] uacute4^z^ UiquestS`atildeUIcircifrac14OumlPAtilde$Igrave(AumlUEcircAtilde5frac12sup1raquo~ordm0Ccedilgsup1AacuteIcirciexclOgraveregcedilAuml|raquoLAacuteOumlcedilAumldOumlifrac14dordm|frac14EumlAacutesup1Aumldraquo13]nfrac14ampfrac12AtildeAcircnAtilde5frac12AEligwAtildeAacuteEgravefrac14Ouml~OumlcedilAumlnfrac14dAgrave4Icirc13aIuml xQ|||~pwld lnrRtcodampodsectgldrRrv p 9Pl| ~tu9ldP j ln4Utreg]vx4~rvu t not v i4v Iordf iquest uacute z yiuacute+r UIuml

aacuteUacutefrac14draquoAEligwAuml|Aringcedilsup1Riquestagrave0Iumlfrac14draquo~EcircdIumlb$Auml|raquocedil4frac14|EcircS] uacute_^J^J^ iquestlaquo`currenaacuteAumldAacutesup1AumldraquoAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo`Ccedilgsup1currenAacuteIcirceumlfrac12Atilde5AcircnAtildefrac120AEligwAtilde AacuteAElig_aIuml igraveraquo13]x4~rv p4PldrRtcoPl|=ov pwv P4vNtildeodUacutex4shyl not vsectEgravepwo4v tu not Iumlcb$AumldEacutePAtilde|iquestednfrac14dOuml~frac14draquoIuml

aacuteAuml|raquoLAacute4frac14dordmdraquoifrac14ZAacuteiquestdIumliquestziexcl0IumlTHORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquestdfrac14draquo~EcircoNtildeIumlZagravegfrac34Ufrac14dAgrave4Icirc~AtildeJ] dividedugrave|ugraveUuacute iquest` agraveOslashcedilAtildeAcircsup1AtildeCcedilaeligAumldOgravePEcircAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeAEligwAringcedilwOgraveufrac14dAgrave5AtildeAElig_]AacuteAuml|OumlPAuml|frac12Aumldordmdfrac34Liquestgordm|AtildeAuml|Igrave(AtildeAacutewcedilwfrac34frac14draquoiEcirc EcircAtildeOgraveuAumlcedilIgravefrac14Aacutesup1Auml|raquoSaIuml x4shyl not vtimesldiOacuteumltutcododshy~rRtreg not0Inot v uacute_qw iquestuacuteugravendivide+y~uacuteugravezq|ugrave Iuml

aacuteAring~IgraveOgraveregAumldcedil4Ecirciquest=THORNFIumlgfrac14raquoiEcircdIumlatildeIcirc~frac14dIcircS] uacute4^ ^ iquest`currenmiddotOumlAacutesup1Igravefrac14frac12$frac14dOumlOumlcedilAumlicircsup1Igravefrac14Aacutesup1Auml|raquoAEligEacuteLfrac34Oumlsup1AtildeAgrave5AtildeCcedilgsup1AEligwAtildetimesAEligwIgrave(AumlLAumlAacuteIcircOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligFfrac14raquoiEcircOslashfrac14dAEligwAEligwAumlLAgravesup1Yacutefrac14ZAacuteAtildeEcircaringAcirc|frac14Zcedilsup1Yacutefrac14ZAacutesup1Auml|raquoifrac14frac12EgraveOumlcedilAumldEacute~frac12Atilde5Igrave(AElig_aIuml odshyNtildeshyFU~tR4lrRtcod~oaeligsectEgraveUpvUacuteldiEgraveni tsvw j ldrreg~v shy(lrRtccurrenshyt iquest rzr4y xJ q Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfa

yenKbrvbarsect =4 acirc $ zmiddotAEligwIcirc~AtildecediliquestdatildePIumlfrac14draquo~EcircdIumlnatildeAtilde AacuteIcirc~sup1frac14draquoS] uacute4^ ziquest` eacutecedilAuml|raquoLAacuteAEligeOumlcedilAumldOumlifrac14ordmnfrac14Aacutesup1raquoordmCcedilgsup1currenAacuteIcircFAgrave5AringcedilAcirc|frac14ZAacuteAringcedilAtildeEumlEcircAtilde5OumlPAtilde5raquoiEcircAtilde5raquoLAacuteBAEligwOumlPAtildeAtildeEcircS]

agravefrac12ordm|Aumlcedilsup1AacuteIcircIgrave(AEligEacute~frac14dAEligwAtildeEcircaumlAuml|raquoiexclampfrac14Igrave(sup1frac12AacuteAumldraquoEumldnfrac14Agrave5Auml|Eacutesup1eacute~AumldcedilIgraveNtildeAring~frac12frac14Aacutesup1Auml|raquoSaIuml poundUodUp4Pl|oqiexcloshyiUrsldrRtcoPl|sect=U~tc ordfenot iquest uacutedivide4yEqE^ Iumlfefrac14cedil4frac14ordm|sup1Auml|AElig5iquestoNtildeIumlfrac14draquo~EcircIacuteszligyIuml]THORNampAtildecedilsup1Agrave4Icirc~AtildeJ] uacute4^z^J^ iquest`s[Atilde5AumlUEcircAtildeAEligwsup1Agravefrac14AgraveAacutesup1AcircnAtildeFcedilAtilde5ordmdsup1Auml|raquo~AElig$OgraveregAumldcedil0Igrave(AumldAacutesup1Auml|raquoTAtilde5AEligqAacutesup1Igravefrac14Aacutesup1Aumldraquofrac14draquoiEcircAacutewcedil4frac14dAgrave4UgraveUsup1raquoordmAaIumligraveiacuteraquoS] x4rv p ildrRtcodil|-ov pwv P4vFodOslashodshyiUrv paumlumltutco Iumleh=AumldcedilwOgraveregAringgt[cedilAtilde5Atilde5Agrave5Atilde|Iumlfefrac14AacuteAtilde5Aringicirc]iquestatilde]Iuml] dividedugravedugrave|ugrave iquestpound`currenatildeOuml~frac14Aacutesup1frac14dfrac12AEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoTAumldOgrave=Agrave5Auml|frac12Aumlcedilysup1Igravefrac14ordm|Atilde5AEligampfrac14dAgrave5Agrave5Aumlcedil4Ecircsup1raquo~ordmAacuteAumlUacuteaacuteTHORNaringOgraveregAumldcedilIgravefrac14dfrac12currenEumlsup1AEligwIgraveaIumlyigraveraquo13] x4~rv p4PlrRtcodPld=od5v pv i vodododpFtu pwl4UtcldPx4shyl not vysectpqo v tu not Iumlatildefrac14dsup1raquoLAacute UumleAacutesup1Atilderaquo~raquo~Atildediquestieacutecedil4frac14raquo~Agrave5AtildedIumlfcedilAtildeAgrave5sup1Auml|AEligwAumliquesteacute=IumlEgravefrac14raquoiEcirc aacuteIacuteIumlcurrenZEgravefrac14cedilfrac12frac14dAring~EcircS] dividedugrave|ugraveUuacute iquest` Z-EumliacuteatildeUOuml~frac12sup1raquo~Atildeaumlfrac14dAgrave Aacutesup1Acirc|AtildeOtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAEligOgraveregAumldcedilOgraveRfrac14AEligqAacuteAcircUsup1EcircAtilde5AumltimesAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIumlOacuteigraveraquo13] x4rv p ildrRtcodil|od5v pv P4vaeligod x4shy(l not vUacutesectpqo4v 4tu not IumlETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1Riquest[cedilAtilde5Atilde5Agrave5Atilde|Iuml

szligAumldraquoOgraveufrac14cedil4EcirciquestszligyIuml] uacute_^J^q iquest` szlig9Atilde5ordmdsup1AumldraquoEumlsEacuteifrac14AEligwAtildeEcircFAEligqAacutewcedil4frac14ZAacuteAtilde5ordm|sup1Atilde5AEligeOgraveuAumlcedil-frac14dAgraveAacutesup1AcircnAtildeEgraveAgraveAuml|raquoLAacuteAuml|AringcedilIgrave(AumlUEcircAtilde5frac12AElig_aIuml x4~rv p4PldrRtcoPl|poundUodUp il|WoqodshyiUrv paumlumltutco I v dividezw iquest divideddividez^+yUdivide uacute Iuml

atildefrac14Igrave(AEligwAuml|raquoiquestzhIumliquestzIumlzZ=frac12frac14raquo~AgraveEumleacuteAtildecedil4frac14AringiEcirciquestJ[NtildeIumldagraveAringEacutePAtildecedilwAacuteiquestfrac14draquo~Ecirc dIumlJregPAtildecedilAring~Eacutesup1frac14I] dividedugravedugrave|ugrave iquest` agrave frac12Atilde5Acirc|Atilde5frac12UAEligwAtildeAacuteIgrave(AumlUEcircAtilde5frac12nOgraveregAumldcedilsup1Igravefrac14ordm|AtildeAgrave5frac12frac14dAEligwAEligwsup1siAgravefrac14ZAacutesup1Auml|raquo13aIuml x4~rv p4PlrRtcodPldpoundUodUp4Pl|BoqNtildeodshyiUrv pOtildeumltreg4tRod shy v Ew iquest uacute r4y~uacute4^Er Iuml

atildefrac14raquo~ordmdCcedilgsup1raquoAtilde|iquest9atilde]IumlEgravefrac14draquo~Ecircszlig0IumlampiexclAumldcedilraquoAtilde v Atilde5EcircAElig5Iuml w ] uacute_^J^ Uiquest ~vIacuteo|odUpaumltushyl not vipqo4v 4tu not ldP|m4oo4uml Iumlh=Icircifrac14dOumlIgravefrac14draquodegmacriexclampfrac14dfrac12frac12RIumlatildeAtildeAacuteIcircsup1frac14draquoiquestdIumlplusmn] uacute4^z^|ugrave iquestU` oAringIgrave(Atildecedilsup1Agravefrac14dfrac12Ufrac14frac12ordm|Aumldcedilsup1currenAacuteIcircIgrave(AEligWOgraveuAumldcedilOumlcedilAuml|Oumlifrac14ordmnfrac14ZAacutesup1raquoordmsup1raquoLAacuteAtildecedilwOgraveRfrac14Agrave5Atilde5AElig_]Jiexclampfrac14dIgrave(sup1frac12currenAacuteAuml|raquoEumldnfrac14dAgrave5AumldEacute~sup1

AtildeecircLAringifrac14Aacutesup1Aumldraquo~AElig-frac14draquoiEcircAgraveAuml|raquo~AEligwAtilde cedilAcirc|frac14ZAacutesup1Aumldraquo(frac12frac14CcedilgAElig_aIuml poundUodUp4Pl|]oqEgraveyen$t lv pv rRtcl| voshyv rRp~ iquest uacute4Uuacutey~uacute x uacute IumlatildeAtildeAacuteIcircsup1frac14draquoiquestAdIuml] uacute4^J^ xiquest kWvndvB]v r j v rregod IumlcurrenhEgravefrac14dIgraveNtildeEacutecedilsup1EcircordmdAtilderaquosup1AcircPIumlAfecedilAtilde5AEligwAElig5Iumlatildesup1Ecirc~Ecircsup1ecircUsup1Riquest4bIumliquest_yenNtildeIumlBfrac14Aring~Ocirc5sup1Gsup2AtildecedilAtilde|iquestagraveyIumlETHWfrac14draquoraquo~Atilde5raquoUEacute~frac14dAring~IgraveUacuteiquest5frac14draquo~EcircNtildeatildePIumlregPAring~Agrave4UgravenAtildecedil4] uacute_^J^ xUiquestE`currenagravegcedilAtildefrac149frac14draquoiEcirc$frac12Atilde5raquoordmdAacuteIcircyIgrave(sup1raquoEuml

sup1Igrave(sup1Ocirc5sup1raquoordm sup3iAumlCcedilgAEliggOgraveuAumldcedilAEligwIcircifrac14OumlPAtildeyAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo13aIuml xQ|||~pwl~ lnrRtcodoOtildex4shyl not vsectEgravepwo4v tu notordf v Ew iquest qEz+yqzqE Iumlyen=AtildeOcirc5Ocirc5sup1RiquestagraveyIumliquest5agrave0Iuml5ETHEgraveAEligfrac14dsup1Riquestfrac14draquo~Ecirc$agrave0Iuml Ucirc sup1frac12frac12AEligwUgraveLfrac34] uacute4^z^J^ iquestJ` agraveaeligAEligqAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12Ufrac14dOumlOumlcedilAumlnfrac14Agrave IcircampAacuteAumlgAEligwraquo~frac14dUgravenAtilde5AElig]OgraveuAumlcedilWEacutesup1Igrave(AumlUEcircfrac14dfrac12frac14draquoiEcircAacutewcedilsup1Igrave(AumlUEcirc~frac14frac12isup1Igravefrac14dordmdAtildecedilwfrac34aIumligraveraquo13] x4rv p ildrRtcodil|eodv pwv P4vyodx4shyl not vgsectpqo v tu not IumlAb$AumldEacutePAtildednfrac14dOuml~frac14draquoIumlreg]IcircUAringiquest]atilde]Iumlfrac14raquoiEcircaumlagrave0Iumleyen=Aringsup1frac12frac12AtildeJ] uacute_^J^ xUiquestpound` szlig9Atilde5ordmdsup1AumldraquotimesAgrave5AumldIgrave(OumlPAtildeAacutesup1currenAacutesup1Auml|raquo13]iAring~raquo~sup1currenOgraveYacutefrac34sup1raquoordmiexclAEligwraquo~frac14dUgravenAtilde5AElig5iquestPcedilAtildeordm|sup1Auml|raquoTordmdcedilAumlCcedilgsup1raquo~ordmiquestfrac14draquoiEcircZEgravefrac145frac34LAtilde5AEligacute|aacuteTHORNOgraveregAumldcedilIgraveFAring~frac12currenAacutesup1Eacuteifrac14raquoiEcirc sup1Igravefrac14ordm|AtildeTAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo13aIuml xQ|||micro~pwld lnrRtcodtimesosect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4v Icent iquesteJ q+yU^dugrave|ugrave Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfo

i $amp)(+-)013021+345627893lt=gt9A6CBfrac12OcircacuteIshyNT

frac12OcircacuteIltNTpara frac12frac34EMeJaumlQcYZYZjJUacuteQsY H [ ^QEgraveJLhZJUO H QcN H J H MeJordfXiacute[]fcfR[WQcO[Oslash^e[]ZaringNPQsOXiacutejOb H QR[]ONPfdaringocirc|adOuml times jOcircaacute uuml times a2atildeltszligaumlgtszliglOuml times j atilde auml

G QsObnJ H MJeumlYZJ H [SXIacuteNPfcfUacute^e[]ZaringNPQsOYMNPY Oe[ H N Y H hjb H jhZJ`[SXUPJUb H [PhQcNPfOtildeYZKNPbnJSefRJ H jYZ N`PJ H MeJeumlhZJ[]QR[]OYJUP[]fVUPJ H MehZ[]j[]M NrXqNSZaringQcfVm [SX H hNPOYYX[PhlZ N H QR[]OYa(|aagraveszlig jj emiddot iacuteaumlYlZOslash[[ H MaNPO^ centQ ~JUb H QVUPJS^ not [PhNOslashKEgrave[]QcO H $ aacute atildeshyszligaumlN eFWFJTOe[ H JSaring$ aagravej|aacutemiddot|aagraveszlig $ j WiexclQ H M |a s szlig $ jaacute $OumlcopytimesaagravejOcircaacutemiddot|aagraveszliglOumlutimesdj WiexclQ H M |a s szliglOumlcopytimesAjOcircaacuteAumlOumlutimes9J H jY H MeJUO^JOeJ H MeJordfUPJUfR[WbLQ H moUPJUb H [PhdY JUfs^kfrac12 YZjbM H MN H aringfrac12sup1aagraveszlig $ aagravejj|aacute aelig |aelig agrave aagraveszlig $ j YlaquoXiacuteNiharingNPY H MeJ bn[]ZOslashKj H N H QR[]O[SX H MeJ ^eJLhQU~N H QVUPJ QcYOslashbn[]ObnJLhOeJU^OeWFJNihZJQcOWVH JLhZJUY H JU^ QcO YYZaringNPfcfOtilde^JX[PhlZ N H QR[]OY^ J H MBjYJkWKNPO^ H MeJ H hNPOYX[PhZaringN H QR[]ONPbLbn[Ph^QcO[ H [hdY H [Ph^eJLh NmWfR[PhyacuteXiacute[PhlZtimesjfcNaring|aagraveszlig $ jpoundaacuteAElig|a s szlig $ j agrave aelig |aelig agrave a s szlig $ jaacute $ ragrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacute frac14 frac14 a s szlig $ j^ J H MeJUOQcO H hZ[W^jbnJ H MehZJLJgZ NPQcO^eJOQ H QR[]OYaringf^QMeJg0jfRJLhQcNPO^eJLhQU~N H QVUPJOtilde[SXocirc|adOuml times jordfaqQcO H MeJIacute^QRhZJUb H QR[]O[SXcedilfrac12jaring ocirc|adOumlcopytimesszlig_frac12jOcircaacutefcQZUcedil iacute ocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave admacrfj ^QMeJgZaringN H JLhQsNPfg^eJLhQVUiN H QVUPJOtilde[SXuumlStimesYa $ szliglOumlcopytimes)jaringsup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j|aacutefcQZUcedil iacute uumlStimesa $ ragrave3frac12ba $ jszliglOumlutimes agrave3frac12sup1a $ jj uuml]timesa $ szliglOumlcopytimesdjagrave admacr j^QMeJaumlYZMNiKEgraveJOtilde^eJLhQU~N H QVUPJOtilde[SXOcircuuml]timesa $ szliglOumlutimes)jaring

uumlnotraquotimes a $ szliglOumlcopytimesUcircszlig_frac12 jaacutefcQZUcedil iacute uumlStimesYa $ szliglOumlutimesragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave admacrS]j

uumlnyacutenthornnyumll13YSordmY_Fordfy

yenKbrvbarsect =4 acirc $ hq centUWQR[]jYZfVmSe-centmaJkBKNPO^QcO[ admacr jUacuteNPbLbn[Ph^QcOF[ H [hdY H [Phd^eJLhordfNmBfR[PhordfXiacute[PhlZtimesjfcNeWFJaumlMNUPJSaring sup1uumlStimesYa $ szliglOumlcopytimesUcircszlig_frac12 jaacuteAumluumlnotraquotimes a $ szliglOumlcopytimesszlig_frac12jhuumlStimesa $ szliglOumlcopytimes)j frac12sup1a $ j admacrj J H MeJUOabn[]ZOslashK-j H JZOslash[PhJaumlKhZJUbLQcYZJUfVm H MJ0jfRJLhQcNPO ^eJLhdQVU~N H QUPJauml[SXcopyocirc|adOumlcopytimesdj^ JMNUPJSaringocircOcircadOumlutimesaagravejj ocircOcircadOumlutimes)jagrave aacute fagrave = thorn yuml uuml times a $ aagravejszliglOuml times aagravejj $ uuml times a $ szliglOuml times j $ FH admacrSmacr]j5O H MJohY H QcO H J[PhdNPfdeltWFJZaringN`PJ H MeJU~NihdQcNicentfRJ bMNPO[PJ $ aagravejaacute $ agrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacuteethicirc7a2atildeshyszligaumlFjszligicirc cent a2atildeltszligaumlj eWMQcbdM[]QVUPJUYaring thorn yuml uuml]timesYa $ aagravejszliglOumlcopytimesYaagravejj $ aacute admacrS]j

5 uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlutimes agrave3frac12sup1a $ jjlt^eJ H ocirc a $ jlt $WMJLhZJocirc a $ jQcY H MeJgXiacute[]fcfR[WQcO[aringSNPbn[PcentQcNPOtZaringN H hdQkKaring

ocirc a $ jaacute oacute fcedilxagrave frac14 iacute oslashfrac14Uordm agrave frac14 iacute oslashfrac14 ugraveagrave frac14 iacute acircfrac14ordm fcedil agrave frac14 iacute acircfrac14 ugrave ocircNPO^ YZ[eFWNtildeJIacuteMNUPJSaring

^eJ H ocirc a $ jOcircaacute fUragravee^QVUKafrac34frac12sup1a $ jjragrave cent ^eJ H amacr frac12sup1a $ jjMJUOWNtildeJauml[Pcent H NPQcOOaring

fsQZcedil iacute ^eJ H ocirc a $ j fagrave aacute ^QVUKafrac34frac12sup1a $ jj admacr]zSjMJJBjN H QR[]OxadmacrSmacr]j H MeJUOcent=JUbn[]ZaringJUYaringocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave aacute fagrave middot uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jjlt 13raquo ocirc a $ jlt $ uumlStimesa $ szliglOumlcopytimesAj $ admacrSi]j JTbLNPO`YZjeKKEgrave[]YJ H MN H ^eJ H aocirc a $ jjfrac14aacute sfrac12 agrave frac12 $ ^ JZaringNm H MeJUO H N`PJ^eJ H aocirc a $ jjfrac34 s eNPO^ WNtildeJ ^eJUPJUfR[PK H MeJaJkWKhZJUYYZQR[]OadmacrSi]j NPYoX[]fsfR[WQsO[centmNP^^QcO[aringN H JLhZ QcO H MeJIacuteYZJUbn[]O^aQcO H J[PhNPfltWMQcfcJaumlYZjeKKhJUYZYZQcO[ H MeJtimesYZNSZOslashJ H JLhlZQcO H MJordfhY H QcO H J[PhNPfdaring ocirc|adOumlcopytimesYaagravejj ocirc|adOumlcopytimes)jagrave aacuteegraveOtildef1rOtilde cent admacrSh]j

uumlnyacutenthornnyumll13YSordmY_Fordf

s $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJSaring

Otilde aacute uuml]timesa $ ragrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave ^eJ H aocirc a $ jj $ ad s jOtilde cent aacute uuml]timesa $ szliglOumlcopytimesdj ^eJ H aocirc a $ jj fagrave $ adfj

9J H jY_ZaringN`PJordmagrave H JUO^ H [WNih^Y s ^curreniquestYZQcO[frac34admacrjiexclNPO^JOQ H Qc[]OYadmacr e macrS]jeWFJ[PJ H aringfcQZUcedil iacute Otilde aacute sup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j $

aacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ uuml times a $ szliglOuml times j frac12sup1a $ j $fcQZUcedil iacute Otilde cent aacute uuml]timesa $ szliglOumlcopytimesdj^QVUKafrac34frac12 j $

O^ Y[Xiacute[Ph H MeJgNtildejfRJLhQsNPO ^eJLhQVUiN H QVUPJSeWFJgO^Oaring ocirc|adOuml times szlig_frac12jumlaacuteyacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ amacrreguumlStimesYa $ szliglOumlcopytimes)j frac12sup1a $ j7 uuml]timesYa $ szliglOumlcopytimes)j^QVUKafrac34frac12sup1a $ jjj $aacute uumlnotraquotimes a $ szliglOuml times szlig_frac12j $ ^QVUKaduuml times frac12j $ ad j

MeJUO NiKKfVmWQcO[ H MJ hJLJUOWVAQRJZ NPOO H MeJL[PhZJZQcO ad jeWNtildeJ5ONPfcfmtimes[Pcent H NPQcOOaring ocirc|adOumlcopytimesszlig_frac12jOcircaacute uuml raquotimes a $ szliglOumlcopytimesUcircszlig_frac12j $ uacutefrac14 5 uuml]timesYafrac34frac12 eacuteAgraveiquestsup1AacuteAtildeAcircj THORN adS]jWMJLhZJ5eacuteAgraveiquestsup1AacuteAtildeAcircyQcY H MeJUacutejOQ H QcOOgraveWNih^ Oe[PhlZaringNPf H [ aelig OumlcopytimesUcirc^MeJ_NtildejfRJLhQcNPO ^eJLhQVUiN H QVUPJQcY(O[ H JU^ ocirc raquo aagravej(QcO H MeJaumlKNiKEgraveJLhNPO^ H MeJaumlYZMNiKEgraveJauml^eJLhQU~N H QVUPJyuuml raquotimes QcY(Oe[ H JU^ frac14 frac14 ^iquest acutemicrosup1cedilFLft not [PhyYQZOslashKfcQsbLQ H mSeWNtildeJ(bM[[]YJ H MeJcopyXiacute[]fcfR[WQcO[_U~NihQsN H QR[]OaeligQcO H MeJKhZ[B[SXaring$ aagravejaacute $ agrave3frac12sup1a $ j^MJiexclKh[[SXZaringNm NPfcYZ[IacutecentEgraveJiexcl^JUPJUfR[PKEgraveJU^WiexclQ H MZaring[PhZJ_[PJUOJLhNPfUiNihQcN H QR[]OYFYjbM NPYaring $ aagravejaacuteAacuteAgravea $ szligYagravejWQ H MAcircAgrave`NOslashYYZOslash[B[ H MXiacutejOb H QR[]ONPO^AcircAgravea szligYagravejcentQ ~5JUb H QVUPJS^

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ ffrac12OcircacuteIshyNT AcircE J(MNUPJ H [Otildebn[]ZOslashK-j H J H MJNtilde^QEgraveJLhZJUO HH JLhZaringY9[SXQa macr]j9QsOauml[Ph^eJLh H [Uacute[Pcent H NPQcO H MeJ

JUP[]fcj H QR[]OJBjN H QR[]O[SX H MeJ NPb H QUPJ bn[]O H []jehX[Ph H MeJ ^JUYZbnhQRK H [PhdYaumlcentNPYJU^Oacute[]OH MeJ(bn[U~NihQsNPObnJ ZaringN H hQVktimes^eJ H JLhlZ QcONPO H a2Ograveh]j^OgraveMeJ(bn[]ZOslashKj H N H QR[]OaringQcYampKEgraveJLhYXiacute[PhlZOslashJU^Xiacute[Ph H MeJIacute^eJUYZbnhQRK H [Ph_uuml thorn timesOslash yuml ^ q centUWQR[]jYZfmSeN YZQZ QcfcNihbn[]ZOslashKj H N H QR[]OabLNPOacent=JIacute^e[]OeJXiacute[PhOcircuuml thorn UgraveUcircUacuteUuml yuml ^ JiexclbLNPOaeligJkBKhJUYZYOcircuuml thorn timesOslash yuml NPYyNUacutebn[]ZTcent-QcON H QR[]Oaelig[SXgtXiacutejOb H QR[]OYamp^eJLKEgraveJUO^QcOF[[]O H MJOtildehZJ[]QR[]OwOuml timesOslash aring

uumlgtthorn times Oslash yuml a2atildeltszligaumlgtszligYagravejaacute`Ograveoacute m thorn timesOslash yumlaIgraveagrave thorn timesOslash yumlAtilde j cent ocirc adjWMJLhZJordmaacuteAuml85eWiexclQ H MAring8 H MeJordfXqjOb H Qc[]O QcO H h[B^jbnJU^ QcOpounda2Ograveh]je-NPO^aringm thorn timesOslash yuml aacute agrave thorn timesOslash yuml agrave thorn timesOslash yumlcent agrave thorn timesOslash yuml agrave thorn timesOslash yumlAElig agrave thorn times Oslash yumlCcedil agrave thorn timesOslash yumlEgrave agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlEgrave j cent agrave thorn times Oslash yumlcent aIgraveagrave thorn timesOslash yumlCcedil j cent agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlAElig j centWQ H MOaring EFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFH

agrave thorn timesOslash yuml aacute w$ thorn yuml aOtilde S times Oslash j cent atilde aumlagrave thorn timesOslash yumlcent aacute w$ thorn yuml aOtildeOgravecent Scenttimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yuml aacute w$ thorn yuml aOtildeS Stimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yumlAElig aacute w$ thorn yuml aOtilde S times Oslash jaOtildeOgravecent ScenttimesOslash j atilde aumlagrave thorn timesOslash yumlCcedil aacute w$ thorn yuml aOtilde S times Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlEgrave aacute w$ thorn yuml aOtilde cent S centtimes Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlAtilde aacute w$ thorn yuml atilde auml O^ Y[ H MJordfXiacutejOb H QR[]OY aelig thorn timesOslash yumlauml MNUPJ H MeJgXiacute[]fcfR[WiexclQcO[aeligJkBKhZJUYZYZQR[]OYaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

aelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlcent aacute aOtilde cent S centtimesOslash j centaelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlAElig aacute aOtilde S timesOslash jaOtilde cent S centtimesOslash jaelig thorn times Oslash yumlCcedil aacute aOtilde S timesOslash jaOtilde S timesOslash jaelig thorn times Oslash yumlEgrave aacute aOtildeOgravecent ScenttimesOslash jaOtilde13 StimesOslash jaelig thorn times Oslash yumlAtilde aacutemiddotf

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBnot h[]Z H MeJUYJaumlJkWKhZJUYYZQR[]OYeWFJOtildeJUNPYZQcfm ^eJU^jbnJ H MN H aring

$ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde aumlregaacute sEacutefrac12poundEcirc iuml

J H MeJUO MNUPJ H [Tbn[]ZaringKj H J H MeJ H JLhlZaringY eacute thorn times Oslash yumlauml XiacutehZ[]Z H MeJJkWKhZJUYZYQR[]OYamp[SXagrave thorn timesOslash yumlauml eWMQcbM fRJUNP^Y H [aringEFFFFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFFFFH

eacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideoslash aacute w$ thorn yuml uacute ouml $ordfdivideacirc uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIgrave yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H a timesOslash jjeacute thorn timesOslash yumlcent aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideacirc

aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIcirc yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideEuml aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideacirc thorn thorn uacute ouml $_divideIuml yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yumlAElig aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIuml aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideEuml uacute ouml $ordfdivideIuml thorn uacute ouml $_divideIcirc uacute ouml $ordfdivideIgrave yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlCcedil aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIcirc aacute w$ thorn yuml cent thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideacirc uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlEgrave aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIgrave aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideoslash uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlAtilde aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIacute aacute w$ thorn yuml thorn +ETH ouml $_dividethorn uacute ouml $ordfdivideIacute yuml Iuml 8 raquo aq^J H a timesOslash jj

O^centmJkWKhZJUYZYZQsO[ H MeJbn[UiNihQcNPObnJZaringN H hQVkpoundWQ H M H MJregXqjOb H QR[]OYagrave thorn timesOslash yumlauml NPYXiacute[]fcfR[WQcO[aring

timesOslashlaquoaacute 1NtildeNtildeNtildeNtildeNtildeNtilde3uacute ouml $ordfdivideoslashuacute ouml $ordfdivideIacute uacute ouml $_divideIumluacute ouml $_divideIacute uacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIumluacute ouml $ordfdivideIacute uacute ouml $_divideacircuacute ouml $_divideIacute uacute ouml $ordfdivideIgraveuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacute uacute ouml $_divideIgraveuacute ouml $_divideIacute uacute ouml $ordfdivideEumluacute ouml $ordfdivideIacute

6OgraveOgraveOgraveOgraveOgraveOgrave7 J H MJUO^eJU^jbnJSaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

eacute thorn times Oslash yuml aacute a fj thorn yuml ^eJ H aDC Ptimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlcent aacute a fj thorn centcent yuml ^eJ H aDC centcenttimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yuml aacute a fj thorn curren yuml ^eJ H aDC 4times Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlAElig aacute a fj thorn cent yuml ^eJ H aDC centtimes Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlCcedil aacute a fj thorn curren yuml ^eJ H aDC times Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlEgrave aacute a fj thorn centcurren yuml ^eJ H aDCcent4times Oslash j48 raquo aq^eJ H a timesOslash jjeacute thorn times Oslash yumlAtilde aacute amp^eJ H a timesOslash j48 raquo aq^eJ H a timesOslash jj

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ SWMJLhZJC EBtimesOslash QcY H MeJgZaringN H hdQk ^eJU^jbnJU^Xh[]ZOacutetimesOslasharingcentm YZjeKKhZJUYZYZQcOF[ H MeJyuuml UumlON hZ[WNPO^ H MJ I UumlON bn[]fcjFZaringOO^]MeJbn[]ZOslashKj H N H Qc[]OordmX[Ph H MeJ^eJUYZbnhdQRK H [Ph|uuml thorn UgraveUcircUacuteUuml yuml QcYyYQZaringQcfcNihNPO^WFJ H MeJUOOslashMNUPJNPfcf H MeJ(JkWKhZJUYZYZQc[]OY H [aumlbn[]ZOslashKj H J H MeJJUP[]fcj H QR[]OaeligJjN H QR[]OXiacutehZ[]Z H MeJg[PJUOJLhNPfOXiacute[PhlZIacutejfcNta macr]j^gtMQcYcopy[]QVUPJUY H MeJTJUP[]fcj H QR[]O JBjN H QR[]Osup1admacr s j^

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBΩ out

Objects

Γ

inΩ

inΩ

Background Part

-t not Upv copy ETHEgraveIcircAtildeampAacuteiacuteCcedil=AumlFcedilAtilde5ordm|sup1Aumldraquo~AElig9AumldOgravefrac14raquoUacutesup1Igravefrac14dordm|Atilde

Ω

Ω out (τ)Ω

(τ)in

N

Γ(τ)

Ω

N

v

w

N

-t not Upv ETHEgraveIcircAtildeyEcircAumldIgravefrac14dsup1raquo~AEliggfrac14raquoiEcircAacuteIcircAtilde$AcircnAtilde5AgraveAacuteAumlcedilAEliggsup1raquoUAcircnAumldfrac12AcircnAtildeEcircsup1raquoiexclAacuteIcirc~Atilde$EcircAtildecedilsup1Acirc|frac14ZAacutesup1Aumldraquo

uumlnyacutenthornnyumll13YSordmY_F2ordf

yenKbrvbarsect =4 acirc $ Smacr

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 Atilde|IumligraveAacuteAtildecedil4frac14ZAacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvyzU eacuteWsup1ordm|AringcedilAtilde5AEligfrac14iquest Eacuteiquest AgraveJ]iUumlAcircnAumldfrac12AringAacutesup1Auml|raquoOtildeAumlOgraveeAacuteIcirc~Atildeyfrac14dAgrave Aacutesup1Acirc|Atilde0AgraveAuml|raquoLAacuteAuml|AringcedilIgravefrac14raquoifrac14ordm|AtildeEcircUacuteEacuteLfrac34AacuteIcirc~AtildefTHORN$Uuml v qzqwsup1raquo~Agrave5frac12AringiEcircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquoifrac14frac12ampAacuteAtildecedilIgrave(AElig5IumlgeacuteWsup1ordm|AringcedilAtilde5AEligOtildeEcirc]iquest Atildediquest Ograve] g sup1AEligwAringifrac14frac12sup1Ocirc5frac14Aacutesup1Auml|raquo`AumldOgrave0AacuteIcirc~AtildeTAgrave5AumldcedilwcedilAtilde5AEligwOumlPAumldraquoiEcircsup1raquoordmAcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 OgraveuAring~raquoAgraveAacutesup1Auml|raquosup1raquo~Agrave5frac12Aring~Ecircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquo~frac14dfrac12ampAacuteAtildecedilIgrave(AEligraquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirc EacutePAtildeAacuteiacuteCcedil=Atilde5Atilde5raquo ugrave frac14draquoiEcirc divide JUiquestAEligwAring~Agrave4IcircTAacuteIcirc~frac14Aacute$AacuteIcircAtilderaquo~Atilde5ordm|frac14Aacutesup1AcircnAtildeAcircdfrac14dfrac12AringAtilde5AElig0frac14cedilAtildefrac12AumlCcedilEgraveAtildecedilyAacuteIcirc~frac14draquo uacutedivide Uacutefrac14raquoiEcircaumlAacuteIcirc~AtildeOumlPAumldAEligwsup1Aacutesup1AcircnAtilde(Aumldraquo~Atilde5AEligyfrac14ZcedilAtilde(Icirc~sup1ordm|IcircAtildecedilAacuteIcircifrac14raquo uacuteZdivide Iuml

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

Ecirc]Iumligraveraquo~sup1currenAacutesup1frac14dfrac12BAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 Atilde|IumligraveAacuteAtilde cedil4frac14Aacutesup1Auml|raquo ugravedugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not Upv ucirc eacuteWsup1ordmdAringcedilAtilde5AEligtimesfrac14iquest Eacuteiquest AgraveJ]ampUumlAcirc|Auml|frac12AringAacutesup1Auml|raquoAumlOgrave(AacuteIcirc~Atildearingfrac14AgraveAacutesup1AcircnAtildeOslashAgrave5Auml|raquoLAacuteAumldAringcedilIacuteIgravefrac14draquoifrac14ordm|AtildeEcirc`EacuteUfrac34AacuteIcircAtildeOcircfTHORN$Uumlv q w iquestiexclCcedilgsup1currenAacuteIcirc~AumldAringAacuteAacuteIcirc~Atildefrac14dEcirc~Ecircsup1Aacutesup1Aumldraquoifrac14dfrac12TAacuteAtildecedilIgrave(AElig5IumliexcleacuteWsup1ordm|AringcedilAtildeAElig Ecirc]iquest Atildediquest Ograve] g sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo AumlOgraveaeligAacuteIcirc~AtildeAgraveAumldcedilwcedilAtildeEumlAEligwOumlPAuml|raquo~Ecircsup1raquo~ordm AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 OgraveregAring~raquo~Agrave Aacutesup1AumldraquoeumlCcedilgsup1currenAacuteIcirc~Auml|AringAacuteIacuteAacuteIcircAtilde frac14|Ecirc~Ecircsup1currenAacutesup1Aumldraquoifrac14frac12FAacuteAtildecedilIgrave(AElig v raquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirceumlAEligwAring~Agrave4Icirc AacuteIcirc~frac14AacuteIgravefrac14icirc vOOtilde wpOumldivide z w Iuml

uumlnyacutenthornnyumll13YSordmY_F2

S $amp)(+-)013021+345627893lt=gt9A6CB

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIumligravesAacuteAtildecedil4frac14Aacutesup1Aumldraquogt ugrave|ugrave AgravedIumlieacuteWsup1raquoifrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12Acirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 AtildedIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIumlieacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvtimesLg sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo(AumldOgravePAacuteIcirc~AtildeAtildeAcircnAuml|frac12AringAacutesup1AumldraquoAumldOgravePAacuteIcircAtildeEgraveAgrave5Auml|raquoLAacuteAumldAringcedil-frac14draquo~EcircNtildeAacuteIcirc~AtildeEgraveAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 v Ccedilgsup1AacuteIcircAuml|AringAacuteAacuteIcircAtildeEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircFAacuteAtilde cedilIgrave w OgraveregAumldcedilEgraveAacuteIcircAtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoAumlOgraveAacuteIcircAtilde9Ograveufrac14dAgrave5AtildeAring~AEligwsup1raquo~ordmyAacuteIcirc~Atilde9Agrave5AumlZAcirc|frac14Zcedilsup1frac14draquo~AgraveAtildeIgravefrac14Aacutewcedilsup1currenicirc]Iuml

frac14Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcircnAtilde EacuteIumligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 v AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde w Agrave|Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacutefrac34 v Acircdfrac14cedilsup1frac14draquoAgrave5Atilde w-t not Upv h=AumldIgrave(Oumlifrac14cedilsup1AEligwAumldraquoOtildeAumldOgraveAacuteIcirc~Atilde$sup1raquo~sup1currenAacutesup1frac14dfrac12eAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34iexclAgrave5Auml|Igrave(OumlAringAacuteAtildeEcircAringAEligwsup1raquo~ordmAacuteIcirc~Atilde$AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde0Igravefrac14Aacutewcedilsup1currenicircv iordmdAringcedilAtildeFEacute w AacuteAumliexclAacuteIcircAtildeAuml|raquoAtildeFAgrave5AumldIgrave(Ouml~AringAacuteAtildeEcircTAringAEligwsup1raquo~ordmiexclAacuteIcircAtildeFAcircdfrac14cedilsup1frac14draquoAgrave5Atilde v ~ordm|AringcedilAtildeFAgrave w OgraveregcedilAumldIgrave AacuteIcirc~AtildeNtildeAEligfrac14dIgrave(Atildesup1raquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcirc|Atilde v iordmdAringcedilAtilde$frac14 w Iuml

uumlnyacutenthornnyumll13YSordmY_F2_a

yenKbrvbarsect =4 acirc $ ]z

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv Oslash| THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5AtildeccediliacuteAtildecedilsup1UgraveUegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_o

Si $amp)(+-)013021+345627893lt=gt9A6CB

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv ordf THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5Atildeccedilqfrac14dUgraveUsup1currenfrac34LAumldegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_y

RR-0114-SJEHANpdf
  • wwwi3sunicefr
    • httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf
Page 29: LABORATOIRE INFORMATIQUE, SIGNAUX ET SYSTEMES DE …mh/RR/2001/liste-2001.pdf · 2002. 6. 27. · [Dir01] DIRAT L. “Outils pour des Mathématiques Interactives et Distribuées”

yenKbrvbarsect =4 acirc $ fhcurrenLJLhZ[^ not [PhaeligJkeNSZOslashKfRJSeampQVXUgraventildea]jaacute yuml Wiexcl cent eshyWiexclQ H MN`KEgrave[]YZQ H QVUPJ bn[]OY H NPO H eQWFJMNUPJSaring

ccedil aacuteFuumlgtthorn timesOslash yuml uumlgtthorn UgraveUcircUacuteUuml yuml uumlgtthorn otilde)yuml uumlgtthorn otilde)yuml eacute aOtilde SOtimesOslashjicircFtimesOslash $ thorn yuml aOtilde SOtimesOslashj IcircAumlaOtilde SOtimesOslashj cent adSh]j^ ^~IacuteFEumlIgraveFIacute5IgraveFOacuteETHNtildeFETHEacuteshyOacuteAgraven13ETH9 ETH9IgraveumlEumlIgravesup1+ltIgraveFEumltIcircIgraveFETHbIacute5IgraveFETH9shyEacute18 YXqNih0NPY H MeJOBjFZOslashJLhdQcbLNPfeQZOslashKfcJZOslashJUO H N H Qc[]OtimesQsYybn[]ObnJLhOeJU^eSWNtildeJbLNPOZOslash[W^eJUf H MeJNPb H QVUPJaumlbn[]O H []jeh_WQ H MNPOJkBK-fcQcbLQ H KNihNSZOslashJ H JLhdQVcurrenUN H QR[]ObaN[PhNPO[]QcNPOXiacute[PhlZtimesjfcN~VH QR[]OKjaelig[Ph NPO QCZOslashKfcQcbLQ H []OeJraNtildejfRJLhQsNPO Xiacute[PhlZIacutejfcN H QR[]Ogtj^ G JLJra G J H MQcNPOOe5fhSh s jNPO^egraveaJUfcQcO[PJ HH J NPO^ _a[]O H N[]ON H e sSs fjX[PhaeligNPOQcO H JLhZJUY H QcO[eumlbn[]ZOslashKNihdQcY[]OcentEgraveJ H WFJLJUO H MeJ H WNtilde[ZOslashJ H M[B^Y^ iexclO[ H MeJLhOtildeQcO H JLhJUY H QcO[aringhJUBQRJW[]O H MeJtimes^Q=JLhJUO HZOslashJ H M[B^Y[SX$NPb H QVUPJIacutebn[]O H []jehQcY(Kh[PK=[]YZJU^ QcOpoundaw_[]O H N[]ON H J H NPfd^Ve sSs fj^iexclJLhZJSeWFJaumljYJ H MeJaumlfRJUPJUfYZJ H ZOslashJ H Me[W^ NiKKhZ[]NPbdM KhZ[PKEgrave[]YJU^centm q YMeJLhNPO^G J H MQcNPOa q YZMJLh NPO^ G J H MQcNPOe fhSiSi]j centj H hJ[]QR[]OWVcentNPYJU^ NPb H QVUPJeumlbn[]O H []jehdYZaringNmNPfcYZ[ centEgraveJQZOslashKfcJZOslashJUO H JU^7centmjYQcO[`XNtildeV4YK-fcQcOeJUYXiacute[PhaeligNPOJkWKfcQsbLQ H K-NihNSZOslashJnVH JLhQcurrenUN H QR[]O ayhZJUbLQc[]Y[ NPO^XNihfcNPj^Oe sSs fj^shyMJ`PJmeumlQc^eJUN [SX H MeJOslashfRJUPJUfampYJ HZOslashJ H M[B^QsY H [ QcO H hZ[W^jbnJaumlNPO`NPjkWQsfcQcNihYmXiacutejOb H QR[]O l a2atildeltszligaumlgtszligYagravejYZjbdM H MN H YacuteaagravejQcY H MJtcurrenLJLhZ[OacutefRJUPJUfYJ H [SX l ^OcircMJXiacutejOb H QR[]O l QsYaelig[SX H JUO bMe[]YJUO H [centEgraveJ H MeJYZQ[]OeJU^ ^QcY H NPObnJordfXiacutejOb H QR[]O[SXQYacuteaagraveje-NPO^ QsY H MeJUObdMNihNPb H JLhQVcurrenLJU^acentmKaring

YacuteaagravejOcircaacute a2atildeltszligaumljPO l a2atildeshyszligaumlKszligYagravejaacute s a2 s jMQcYOcirc0jfRJLhQcNPOordmXiacute[PhlZtimesjfcN H QR[]O KhZJUYZJUO H YFYJUPJLhNPfEgraveNP^UiNPO H N[PJUYga G J H MQcNPOOeKfhShS]j^not QRhY H fVmSe H MeJabLjehYUPJ l ZaringNmcenthJUN`[PhoZOslashJLhY[PJNPY H MJXiacutejOb H QR[]O l JUP[]fUPJUYeNPO^ H [PK=[]fc[S[]QcbLNPfbdMNPO[PJUYFNihZJ H MBjY$JUNPYZQsfVmOslashMNPO^fRJU^^ G JUbn[]O^fVmSe H MJJUP[]fVUWQcO[XqjOb H QR[]O l a2atildeshyszligaumlKszligYagravejNPfVWNmWY(hZJZaringNPQcOY(NlaquoXiacutejOb H QR[]O NPfcfR[WQcO[timesJltz bLQRJUO H OBjFZOslashJLhVQcbLNPfFYZbdMeJZOslashJUY^OcircMQRh^fVmSe H MeJ[PJL[]ZOslashJ H hQcb KhZ[PKEgraveJLh H QcJUYT[SX H MeJ bLjehYUPJSe$fcQV`PJ H MeJbLjehlU~N H jehJ NPO^ H MeJOslashOe[PhlZ NPfshyUPJUb H [PhordfJUfs^eacute e=bLNPO centEgraveJIacuteJUY H QZaringN H JU^euml^QRhZJUb H fmXiacutehZ[]Z H MeJTfcJUPJUfgYJ H XqjOb H QR[]Oaring aacute V ucirc l l uuml NPO^ eacuteecircaacute l l a2FfjMJJUP[]fsj H QR[]O JBjN H QR[]O H MeJUO centEgraveJUbn[]ZOslashJUYaringaelig l aagravejaelig agrave aacuteegraveccedilacute l a2 jMJregUPJUfR[WbLQ H msup1XiacutejOb H QR[]OxccedilEQcYIacutebn[]ZaringKj H JU^7[]OfVm[]O H MeJbLjehYUPJYacuteaagravejaumlcent-j H WFJbLNPO Jk H JUO^ Q H YFJkBKhZJUYZYZQR[]O H [ H MeJiexclWMe[]fRJUacuteQZaringN[PJOtilde^e[]Z NPQcOoOumlordf^[OslashQZOslashKfRJZaringJUO HH MeJIacutefRJUPJUf9YJ H ZOslashJ H Me[W^OeY[]fsj H QR[]OYuZtimesjY H centEgraveJgXiacute[]jO^ H [ bLQRhbLjZyUPJUO H Kh[PcentfRJZaringY

uumlnyacutenthornnyumll13YSordmY_FP

s $amp)(+-)013021+345627893lt=gt9A6CBbn[]ZaringQsO[ Xh[]Z H MeJpoundXqNPb HH MN H`H MeJYZQV[]OeJU^ ^QcY H NPObnJumlXqjOb H Qc[]O l QcYaOe[ H NY[]fsj H QR[]O[SX H MeJyiexcl a2 jeEgraveYJLJa []ZOslashJUYNPO^ not NPjF[PJLhNPYe sSsSs jyacuteXiacute[Phiexcl^J H NPQcfcY^5Oaelig[]jehWF[PhY`gte H MJuXiacutejOb H QR[]O l QcYamphZJUQsOQ H QcNPfcQcurrenLJU^TY[ H MN H Q H hZJZaringNPQcOYampNOtilde^QsY H NPObnJXqjOb H QR[]OenYZJLJ5aq jecentEgraveJLh H NPO^gcOtilde[PhdOeKhZ[PcentY H e sSs fJLcenthZJUjFUPJSe sSsSs jOXiacute[Ph^J H NPQcfcY[]O H MJOtildehZJUQcOQ H QsNPfcQVcurrenUN H QR[]O JBjN H QR[]OO^5Oeuml[Ph^eJLh H [QCZOslashKhZ[UPJaringOjFZaringJLhQcbLNPfJltz bLQRJUObmSeOWFJaringbn[]ZOslashKj H J H MeJOslashJjN H QR[]O[]O NIacuteONihhZ[Wcent-NPO^aringJUObLfc[]YZQcO[ H MJiexclfRJUPJUf s [SX H MeJUacutefRJUPJUf-YJ H XqjOb H Qc[]OO^ JUacuteNPfcY[jYZJZtimesjf H QRhZJUYZ[]fcj H QR[]O H JUbdMOQBjeJUYcentmZaringN`BQsO[ H MeJFNPb H QVUPJ(bn[]O H []jh$JUP[]fVUPJcopyhY H[]ONOslashfc[W hZJUYZ[]fcj H QR[]O QZ N[PJS^FMeJordfONPfbn[]O H []jeh[Pcent H NPQcOeJU^Xiacute[Ph H MQcYhJU^jbnJU^QZ N[PJaumlQcY H MeJUOjYJU^ NPYNPOQsOQ H QcNPfEgravebLjehYUPJordfXiacute[Ph H MJOtildehZJUNPfgYZQVcurrenLJaumlQCZaringN[PJS^

EparaacuteAgravegtmicrosup1acuteIKJcedilJT2MgtI MraquowMgtmicrosup1MAgravegtacuteIltacuteMgtPltAtilde iquest acuteAgravegtT2MKIshyAtildeAcirccedilAtildeacuteNicircMgtI cedilAEligMgtmicroOcircacuteOgraveJTCJT13MKI sup2OcircacuteJordfsacuteacuteI Jfrac14ltacutegcedilFLT2cedilIshyROgraveacuteAtilderaquoAMLBqoLacute13AtildeR]cedilsup32acute GmicrobcedilAgraveacuteAtilde5O H MQcYUacuteYJUb H QR[]OOeOWFJOslashKhZ[PKEgrave[]YJaeligY[]ZOslashJOslashhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhY H [YJ[iVZOslashJUO H M[]ZOslash[S[PJUOeJL[]jYiexclhZJ[]QR[]OYiexcl[]Ofrac34[PhZJmBYbLNPfRJIacuteQZ N[PJUY^gtMJUYJIacute^eJUYbnhQRK H [PhYiexclNihZJcentNPYZJU^[]O H MJZaringQcOQZaringQVcurrenUN H QR[]O [SX H MeJU~NihdQcNPObnJUYauml[SX H MJ H WF[`bn[]OYZQc^eJLhZJU^OacutehZJnV[]QR[]OY^ 5O H MJ7YJUbn[]O^ K-Nih H e H MJQZOslashKEgrave[Ph H NPObnJOacute[SX H MeJNP^^Q H QR[]ONPf H JLhZaringYebn[]ZaringQsO[XiacutehZ[]Z H MeJiexclU~NihdQcN H QR[]O [SX H MeJUacute^eJUYZbnhQcK H [PhYWQ H M H MeJiexclJUP[]fUBQcOF[IacutehZJ[]Qc[]OYeQcY9MQV[]MfcQ[]M H JU^O^ G QCZOslashKfRJJkWNSZaringKfRJUY9YMe[W H MeJ0QZOslashKEgrave[Ph H NPObnJ$[SX H MeJUYJ0NP^^Q H QR[]ONPfH JLhlZ Y H [ NPbMQRJUPJ H MeJOtildeJkWKEgraveJUb H JU^aYJ[]ZaringJUO H N H QR[]O^^f^laquoIgraveIcirc=KEgrave(FETHOEacuteltEgraveIcircEcircgtNtildeltIcircIgrave8 EacuteshyOacute ETH9Igravek+NtildeshyEgrave13NtildeshyOacute=KIgraveC0EacuteshyEgraveh4ltEgraveOIgravesup1QIcirc=NtildeltEumlOgraveIgrave2Iacute Ntilde4ltIgraveIcircMJQcO H JUOYZQ H mregXiacute[Phu[PhZJmWYZbLNPfRJaumlQZ N[PJUY(QcYhZJLKhZJUYZJUO H JU^centm NlaquoXqjOb H QR[]OOtilderegaringOgraveOumlOtilde 13ordfcentwntilde Otilde 13laquo^ JaKhZ[PKEgrave[]YJ H [bZaringQcOQZaringQVcurrenLJ H MeJU~NihdQcNPObnJUYOslash[SX H MeJ H WF[bn[]OYZQc^WVJLhZJU^ Me[]Zaring[S[PJUOeJL[]jY hZJ[]Qc[]OY QcO [Ph^eJLh H [YJ[]ZOslashJUO H H MeJZ^uMJXiacute[]fcfR[WQcO[^eJUYbnhQRK H [PhY(NihJaumlYZj[S[PJUY H JU^OaringEFG FH uuml thorn UgraveUacuteUuml yuml aacutecntildeaLuOcentUgraveUacuteUuml juuml thorn times Oslash yuml aacutecntildeaLuOcenttimes Oslash juuml thorn otilde)yuml aacutecb a2Ograve]jWMJLhZJjntildea]jQcYNOslashKEgrave[]YZQ H QVUPJordfXiacutejOb H QR[]O [SX$bLfcNPYZYEacuteograve aOtilde 13yj(NPO^kb`NOslashKEgrave[]YZQ H QUPJaumlbn[]OWVY H NPO H ^MJTbn[]ZOslashKj H N H Qc[]O[SX H MeJUPJUfR[BbLQ H mUPJUb H [PhaumlQcY^JU^jbnJU^tXiacutehZ[]Z H MeJIacutebn[]ZOslashK-j H N~VH QR[]O`[SX H MeJaelig^eJLhQVUiN H QVUPJIacute[SX H MeJtimesbnhdQ H JLhQR[]Opoundocirc7^eJUPJUfR[PKEgraveJU^ QcO G JUb^^ macr^feWMQsbMfRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[aeligJUP[]fcj H Qc[]O JjN H QR[]OOaringaelig Yacuteaagravejaelig agrave aacuteethntildeaLu centtimesOslash j ntildeaLu centUgraveUcircUacuteUuml jb ntilderaquo)aLu centtimesOslash jaaOtilde S timesOslash j cent u centtimesOslash j ntilde raquo aLu centUgraveUcircUacuteUuml jaaOtilde SUgraveUcircUacuteUumlj cent u centUgraveUacuteUuml jIcirc13eacute a2Sj

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ fMJiexclYZQcOF[]fRJiexclK-NihNSZOslashJ H JLhcopyWNtildeJOtildeOeJLJU^ H [aringNP^~ZjY H QcY H MeJUacuteYYZOslash[B[ H MQcO[timesKNihNSZOslashJ H JLhb^5OregXqNPb H e H MeJ X [W ethb MNPY H MeJiexclKhZ[PKEgraveJLh H QRJUYNtilde[SXYYZOslash[B[ H MQcOF[IacutecentEgraveJUbLNPjYJOtildeQ H ZOslash[UPJUYH MeJUacutebLjehYUPJUacuteQcO H MeJUacute^QRhZJUb H QR[]O [SX9Q H YfRJUOF[ H MregXqjOb H QR[]ONPfQa G Qs^^QBQeJ H NPfd^VeOfhShS]j^^ ^~IacuteEacuteltEgraveETHOgraveNtildeltOacute=KIgravefrac34Eacute10frac34ETH9Igrave Ntilde8182ETHEacuteshyOacuteNtildeshyEumlETHIgraveFEgraveOIacute5Icirc5O[Ph^JLh H [7JU~NPfcjN H J H MeJ QZOslashKEgrave[Ph H NPObnJ`[SX H MeJ`NP^^Q H QR[]ONPf H JLhlZaringYX[Ph H MeJYJ[]ZaringJUO H N H QR[]OeuWNtildeJpoundZaringN`PJ H MJeumlNPb H QUPJbn[]O H []jehaJUP[]fVUPJ H MehZ[]j[]M H MJ iexcla2SjeQsObLfcj^QsO[ H MeJaumlNP^^Q H QR[]ONPf H JLhlZaringY^ q O H MeJUacute[ H MeJLhMNPO^OeWNtildeJaumlNPfcYZ[ZaringN`PJQ H JUP[]fUPJfrac34WQ H M H MeJwXiacute[]fcfR[WQcO[ WhZ[]OF[JUP[]fcj H QR[]OJjN H Qc[]O H MN H ^e[JUY Oe[ HQcObLfcj^eJ H MeJaumlNP^^Q H QR[]ONPf H JLhlZaringYaringaelig Yacuteaagravejaelig agrave aacuteethntildeaLu centtimesOslash j ntildeaLu centUgraveUcircUacuteUuml j`b Qeacute iuml a2Ogravemacr]jnot [Ph H MeJOtildeJkWKEgraveJLhQZOslashJUO H YeWFJ H N`PJntildeaOgravejOcircaacute ILK KafcediliexclOgravejWMQsbM[]QVUPJUYntilde raquo aOgravejaacutefdOafcedil]j(NPO^ H MeJgUiNPfcjeJOtilde[SX H MeJaumlKNihdNSZOslashJ H JLhEacutebaQcY(YJ HH [frac34f s ^OcirckBKEgraveJLhQCZOslashJUO H Y NihZJ KEgraveJLhYX[PhZOslashJU^ []O NYmWO H MJ H Qcb`QCZaringN[PJumlZaringNP^eJeumljeK [SXTNPO

Me[]Zaring[S[PJUOeJL[]jYYYBjNihZJ[SX9QcO H JUOYZQ H mwf s []O NIacutecentNPbl`[PhZ[]jO^ [SX9QcO H JUOYZQ H mtf s ^ []NPjYZYZQsNPOOe[]QcYJUacute[SXUiNihQcNPObnJ s QcY(NP^^eJU^ H [ H MQcY(YmWO H MJ H QcbOtildeQZaringN[PJS^MeJOtildeJUP[]fcj H QR[]Oa[SX H MeJTNPb H QVUPJtimesbn[]O H []jehUacute^ehQUPJUOcentmpounda2SjQcYu[]QVUPJUO`QcO not QV[^ WMQcfRJ H MeJ[]OeJ`[Pcent H NPQcOeJU^ jYZQcO[ a2Ogravemacr]j QcYordm[]QUPJUO QcO not QV[^ ^ J bLNPO hZJZaringNihY`H MN H WMeJUO H MeJoiexclQsObLfcj^eJUY H MJ NP^^Q H QR[]ONPf H JLhZaringYe H MJ YYBjNihZJ QcYgWFJUfcfYJ[]ZaringJUO H JU^acirca not QV[^ ^bjeuWMeJLhJUNPYWiexclMeJUO H MeJ |iexclD^e[BJUY Oe[ H QsObLfcj^eJ H MeJUYJNP^^Q H QR[]ONPf H JLhZaringYwWFJ7[Pcent H NPQcO N bLQRhbLfcJOacuteQcOY H JUNP^ [SX H MeJ7JkBKEgraveJUb H JU^YYBjNihZJa not QV[^ ^bj^MeJUYJhZJUYZjf H YNtildebLNPOcentEgraveJcentEgraveJ HH JLh(jO^eJLhY H [[W^WMQcfRJNPONPfmcurrenUQcOF[ H MeJiexclUPJUfR[WbLQ H mUPJUb H [PhYUacute[SXNtildeJUNPbMJUP[]fsj H QR[]O JjN H QR[]OO^ Jaringbn[]ZOslashKNihZJ H MeJ H WF[ JUP[]fcj H QR[]OYiexcl[SXH MeJlaquoUPJUfR[WbLQ H mwUPJUb H [PhYauml^jehQcO[ H MeJaeligKhZ[PKN[]N H Qc[]Oeuml[SX H MeJOslashbLjehYUPJwa2WiexclQ H Me[]j HH MeJcentEgrave[]jO^NihYmVcent-NPYJU^ H JLhlZb j^MeJ(JUP[]fcj H Qc[]OOslash[SX H MeJNSZOslashKfsQ H j^eJ[SX H MeJyacuteUPJUfR[Wb|VQ H mregUPJUb H [Ph[SXQ|iexcla2SjFQsY[]QUPJUO QcO not Q[aqYj^ ^ ^OecurrenJSe Xfrac34]eWMQsfRJ H MeJOtildeNSZOslashK-fcQ H j^eJ[SX H MeJUPJUfR[WbLQ H mwUPJUb H [PhOtilde[SX||iexclacirca2Ogravemacr]jiexclQcY []QUPJUO`QcO not QV[aqYj^ ^ ^OecurrenJSe Xfrac34]^ JOslashbLNPO[PcentYZJLhYUPJ H MN HaringH MeJUPJUfc[BbLQ H msup1WiexclQ H Me[]j HaeligH MeJNP^^Q H QR[]ONPf H JLhlZaringY QcYaeligNbn[]OY H NPO HWMJLhZJ [PcentUWQR[]jYfVm H MJaQZaringN[PJfrac34XJUN H jehJUY ^e[OacuteO[ H NiKKEgraveJUNih^ q O H MeJabn[]O H hNihYmH MeJaumlQCZaringN[PJordfXJUN H jhZJUYuWFJUfcfNiKKEgraveJUNihQcO H MeJordfUPJUfR[WbLQ H m QcObLfcj^QcOF[ H MeJaumlNP^^Q H QR[]ONPfH JLhlZ Yya not QV[aqYj^ ^ ^OecurrenJSe Xfrac34jiexclNPO^ Y[ H MeJaumlYljNihJTbLNPO centEgraveJordfWNtildeJUfsfYJ[]ZOslashJUO H JU^O^MeJyKhZJUWQR[]jYEgravehJUYZjf H YgYMe[W H MN H Q H QcY[SXeKhQCZOslashJ$OeJUbnJUYZYZQ H m H [ H N`PJQcO H [NPb|Vbn[]jO H0H MJNP^^Q H QR[]ONPf H JLhZaringYeWbn[]ZaringQcO[XhZ[]Z hZJ[]QR[]OeV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhYeQcO[Phd^eJLh H [ hZJUNPbdMaN H hdjeJgZaringQcOQCZIacutejFZ [SX H MeJaumlbnhQ H JLhdQR[]OO^

uumlnyacutenthornnyumll13YSordmY_F

S $amp)(+-)013021+345627893lt=gt9A6CBEIumlparaacuteAgravegtmicrosup1acuteIKJcedilJT2MgtI MraquoordfAEligMgtsup32MLwMKmicrobMgtAgraveacuteIshyacuteMgtPltAtilde iquest acuteAgraveKT13MKIshyAtildeAcirclaquocedilFAtildeacuteNicircMKIJfrac14ltacutepoundAEligMAringcedilFLT2cedilIltR]acuteHcedilJLTOcircfrac12sup3T13ROgravecedilJT2MgtI JMAgraverltcedilFR]acuteacuteJacuteR]JT2MgtIicircT2ItT2NQacuteM paraacutePshyacuteIltR]acuteAtildeMQcY0K-Nih H ^eJUNPfcYWQ H M H MeJOtildeYJ[]ZOslashJUO H N H QR[]O [SXMe[]ZOslash[S[PJUOeJL[]jY(hZJ[]QR[]OYQcOZtimesjfuVH QcYZK=JUb H hdNPfQZaringN[PJUY^ YNPOaJkWNSZaringKfRJSeWFJIacuteYZMe[W H MN HiexclH MeJTbn[UiNihQcNPObnJZaringN H hQVkbLNPOacent=JIacuteNUPJLhYm KEgrave[WFJLhYXqjf H [B[]f H [ YJ[]ZOslashJUO H Me[]Zaring[S[PJUOeJL[]jYbn[]fR[PhiexclhJ[]QR[]OY^F5OXqNPb H e H MeJtimes^eJ H JLhlZaringQsONPO H [SX H MeJTbn[U~NihQsNPObnJZ N H hQkKhZ[UPJUY H [ centEgraveJIacuteNaringhJUfRJU~NPO Hbn[]fR[PhaelighZJ[]Qc[]O7M[]ZOslash[S[PJUOeJUQ H msup1ZOslashJUNPYZjhZJZOslashJUO H a G NPO[SWQcOeJ NPO^r[PhdOeJSeufhShSi]j^_`QcOQZ QVcurrenUQcO[ H MQcYjNPO H Q H m ZOslashJUNPOY H MN H WFJwWNPO HH [^eJUbnhZJUNPYJ H MeJeumlbn[]ZaeligVKfcJkWQ H m[SXUacuteNeumlhZJ[]QR[]Oa hdNmJ H NPfd^Ve sSs fampN H JUjke sSsSs j^MQcY H [B[]fuZaringNmKhdNPb H QcbLNPfcfVm cent=JaumljYJU^X[Ph XiacuteNPbnJtimes^eJ H JUb H QR[]OaQsO QZaringN[PJaumlYJBjeJUObnJUY^macr^f^laquoIgraveIcirc=KEgrave(FETHOEacuteltEgraveIcircEcircgtNtildeltIcircIgrave8 EacuteshyOacute ETH9IgraveAgrave=Eacute3+NtildeshyEgrave13NtildeshyOacute=KIgravefrac34Iacute_NtildeFETHEgraveEcirc20EacuteshyEgrave=EacuteshyEumlEacuteshyEgrave2Iacute Ntilde4ltIgraveIcircMJQcO H JUOYZQ H mxXiacute[Ph bn[]fR[Ph QCZaringN[PJUYaringQcYOslashhJLKhZJUYJUO H JU^centm7NpoundXiacutejOb H QR[]OOtildeegravearingOumlOtilde 13ordfcent ntilde Otilde 13 WMeJLhZJ Otilde aacute Otilde szligYOtildeOgravecentszligYOtilde13ordf ^iexclXm NPONPfR[S[SmAumlWQ H M H MeJOacuteY H j^Fm Xiacute[Ph[PhZJmWYZbLNPfRJFQZaringN[PJUYeWNtildeJZaringQcOQCZaringQVcurrenLJ H MeJNtilde^J H JLhlZaringQcONPO H [SX H MeJFbn[UiNihQcNPObnJcopyZaringN H hQVk[SX H MeJTbn[]OYQc^eJLhZJU^hZJ[]Qc[]OY^ J5ZaringNmaringNPYYZjFZOslashJ H MN H JUNPbdM bn[]fR[PhFhZJ[]QR[]Oacute13 QsYOcircZOslash[W^eJUfcfRJU^OslashcentmOslashNg[]NPjYYZQcNPO^QsY H hQRcentj H QR[]Oeuml[SXyacuteZOslashJUNPOiexclSegraveaacute S szligPS cent szligPS NPO^7bn[UiNihQcNPObnJZ N H hQk5^MeJKh[PcentNicentQcfcQ H maring^eJUOYQ H moXiacutejOb H QR[]O QcYu[]QUPJUO centm H MeJgXiacute[]fcfR[WQcO[aeligJkWKhZJUYZYQR[]OOaring

$ampamp aOtildejOcircaacute fa )( j +cent aq^J H ayacutejj cent JkWK- f aOtilde Sltj thorn aOtilde Sltj a2Ograve]jG [eZaringQcOQZaringQVcurrenUQcOF[ H MJbn[U~NihdQcNPObnJuZaringN H hQktimes^eJ H JLhlZaringQcONPO H [SX-NPOtimesJUP[]fVUWQcO[hJ[]QR[]ONiKKEgraveJUNihY H [OslashcentEgraveJNtimeshZJUfcJU~NPO HH [[]f H [ordmZaringN`PJ H MQcYFhZJ[]Qc[]O bn[]OUPJLhY[PJ H [WFNih^Y H MeJbLfR[]YZJUY H Me[]ZOslash[S[PJUOeJL[]jYbn[]fR[PhiexclhZJ[]QR[]OO^9J H jY$Oe[ H J timesOslash NPO^0copyUgraveUcircUacuteUuml H MJbn[UiNihQcNPObnJ5ZaringN H hQcbnJUYy[SX=hJUYKEgraveJUb H QVUPJUfVmordmOuml timesOslash aagravejNPO^tOuml UgraveUacuteUuml aagravejaring

atilde aacute213 u Patilde u centatilde u atildeu cent atilde u centcentatilde u cent4atildeu5 atilde u5centatilde u54atilde67 a2zSj

WMJLhZJSaringEFFG FFH u times aumlatilde aacute iacutefaring w aring thorn yuml aOtilde times S times atilde jaOtilde auml S auml atilde j atilde aumlS times atilde aacute iacutefaring w aring thorn yuml Otilde times a2atildeltszligaumlj atilde auml WQ H M aacuteiVIgraveOacute[Ph Kf5

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ J [PcentUWQR[]jYZfm`MNUPJacuteu times aumlatilde aacuteu auml timesatilde ^shy9J H jYaumlO[ H J ^eJ H a atilde j H MJ ^eJ H JLhlZaringQsONPO H [SXH MeJaumlbn[U~NihdQcNPObnJZ N H hQkWiexclMQcbMJkBKhJUYZYZQR[]O QcY H MJgX[]fsfR[WQsO[aring

^eJ H a atilde jumlaacute u Patilde u centcentatilde u 4atilde u centatilde u atilde u cent4atilde u Patilde u cent4atilde u cent4atilde u centcentatilde u atilde u atilde u 4atilde u centatilde u centatilde a2Ogravei]jnot jOb H QR[]OY [SX H MeJeumlbn[UiNihQcNPObnJpoundZaringN H hQk ^eJ H JLhZaringQcONPO H YNihZJ jYJU^ NPY hJ[]QR[]O^eJUYbnhQRK H [PhY^ JIacutebMe[B[]YJ H MJordfX[]fcfc[WQcOF[aeligYZJ H [SX$^eJUYZbnhQRK H [PhYaringEFG FH uuml thorn UgraveUcircUacuteUuml yuml aacute98ordfaq^eJ H acopyUgraveUcircUacuteUumlAjjuuml thorn timesOslash yuml aacute98ordfaq^eJ H a timesOslash jjuuml thorn otilde)yuml aacuteOslashb a2Ograveh]jWMJLhZJ8ordfaOgravejFQcYNOslashKEgrave[]YZQ H QVUPJiexclXiacutejOb H QR[]O [SXampbLfcNPYZYograve aOtilde 13yjFNPO^Cb`NOslashKEgrave[]YZQ H QVUPJOtildebn[]OWVY H NPO H ^gJ H jYNtildeOe[W WhQ H J H MeJJUP[]fcj H Qc[]OaringJBjN H QR[]O [SX H MeJiexclNPb H QUPJbn[]O H []jehcentmbn[]ZOslashK-j H QcO[ H MJIacute^QEgraveJLhZJUO HH JLhlZaringYiexcl[SX_a j^J H NPQcfcYiexcl[SX H MeJIacutebn[]ZaringKj H N H QR[]O bLNPOcentEgraveJgXiacute[]jO^QsOaNiKKEgraveJUO^QVk X5^gtMJaumlJUP[]fcj H QR[]O`JBjN H QR[]O[SX H MJIacuteNPb H QVUPJaeligbn[]O H []jhQcY H MJgX[]fsfR[WQsO[aringaelig Yacuteaagravejaelig agrave aacute8gaq^eJ H atimesOslashjj 8ordfaq^eJ H a UgraveUcircUacuteUuml jj`b admacr s jlt8Icircraquodaq^eJ H a times Oslash jgt= ccedil A B egrave aOtilde S timesOslash jaOtilde B5 S BtimesOslash jB^eJ H aDC EBtimesOslash ja fj BGFH amp^eJ H atimesOslashj48 raquo aq^eJ H atimesOslashjj 8Icircraquodaq^eJ H a UgraveUacuteUuml jgt= ccedil I B egrave aOtilde Eacute S UgraveUcircUacuteUuml jaOtilde B S BUgraveUcircUacuteUuml jB^eJ H aDC JBUgraveUacuteUuml ja fj BKFH amp^eJ H a UgraveUcircUacuteUuml j48 raquo aq^eJ H a UgraveUcircUacuteUuml jjcedil13eacuteMJZaringN H hdQkLC JBatilde QsY ^JU^jbnJU^icircXh[]Z H MJeumlbn[U~NihdQcNPObnJbZaringN H hdQkM atilde centm YZjeKeVKhJUYZYZQcO[ H MeJ uuml UumlON hZ[WENPO^ H MeJ I UumlON bn[]fcjFZaringO^MeJeumlfcNPY H Xiacute[]jeh fsQcOeJUY [SX H MeJJBjN H QR[]ONihZJ H MeJOtildeNP^^Q H QR[]ONPf H JLhZaringY(bn[]ZaringQcO[XiacutehZ[]Z H MeJiexclU~NihQsN H QR[]O [SX H MeJOtilde^eJnVYZbnhdQRK H [PhYWiexclQ H Mordmagrave^ Y0Q H MNPYycentEgraveJLJUOOslashKhJUBQR[]jYZfVmTKhZ[UPJU^X[Ph[PhZJmWYZbLNPfRJiexclQCZaringN[PJUYeH MeJUYZJ H JLhlZaringYMNUPJ H [ cent=Jaumlbn[]OYZQc^eJLhZJU^ QsO[Ph^eJLh H [regZ N`PJ H MeJTNPb H QUPJTbn[]O H []jhbn[]OUPJLhY[PJ H [WFNihd^YNZ QcOQZtimesjFZ [SX H MJTbnhQ H JLhQc[]OO^macr^ ^~THORNUgrave2FIgraveFEgrave2Iacute_IgraveFOacuteshyETHOgraveNtildeshyEumlEgraveOIgraveIcircdEumlETHOIcircnot [Ph H MJ JkWKEgraveJLhQZOslashJUO H YeQWNtildeJ H N`PJCntildea]jordmaacute ILK Kaf[]jgWMQsbMsup1[]QVUPJUYnntilde raquo aOgravejaacutefdOafWOgravej(NPO^8ordfaOgravejaacute ILK KafIcirch cent juWMQcbdMt[]QVUPJUY8 raquo aOgravejaacute ETHOafIcirch cent j^ JbdMe[[]YZJ bbaacute f s ^QMeJaringbn[]fR[PhtimesYKNPbnJ YJUfcJUb H JU^QcYaQPszlig l szligicirclaquojeltWMeJLhZJwaOtilde aacuteRPordmjhZJLKhZJUYJUO H Y H MeJfsjFZaringQcONPObnJNPO^waOtildeOgravecent5aacute l j$NPO^frac34aOtildeS aacuteOslashicircj$hZJLKhZJUYJUO HyH MeJ H WF[bdMehZ[]ZaringQcONPObnJUY^ not [Ph H MeJbn[]ZaringKj H N H QR[]OOslash[SX H MeJuUiNihQcNPObnJSei[]Ofm H MeJfcjZaringQcONPObnJQcY(jYJU^O^

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CB5Oaring[Phd^eJLh H [aeligYJ[]ZOslashJUO H NPO Me[]ZOslash[S[PJUOJL[]jY0hJ[]QR[]OOeOgraveWFJiexclY H Nih H WQ H M NPO QcOQ H QcNPf

bLjehlUPJ0QcOYZQs^eJ H MJ0hZJ[]QR[]Oauml[SXWQsO H JLhZJUY H ^MeJybLjhYUPJ0QcY H MJUOTYZjeKK=[]YZJU^ H [JkWKNPO^jO H Qcf(Q H hJUNPbMeJUY H MeJ centEgrave[]jO^NihlmOacute[SX H MeJabn[]ObnJLhdOeJU^ Me[]Zaring[S[PJUOeJL[]jYaringhJ[]QR[]OO^MJtimesbLjehlUPJtimes^e[BJUYUacuteOe[ H [P[cent=JmP[]O^ H MJUYJaeligcent=[]jO^NihQRJUYiexclYZQcObnJSe=[UPJLh H MeJLhZJSe H MeJbnhQ H JLhQR[]OOacuteQsObnhZJUNPYJUYtimescentEgraveJUbLNPjYJ H MeJU~NihdQcNPObnJOcircu centtimesOslash [Ph H MeJ bn[U~NihdQcNPObnJtZaringN H hQVk^eJ H JLhZaringQcONPO H ^eJ H atimesOslashjUcirccentOtildeQsObnhZJUNPYJS^MeJaringNPfV[P[PhQ H MZEcentNPYJU^[]O H MeJ bn[UiNihQcNPObnJZaringN H hQVkeumlQcYaumlK=JLhlX[PhlZaringJU^euml[]ONPOQZ N[PJ [SX H MeJUBQs^eJL[`YJBjeJUObnJrnN`WQVmP[]peumlQcO[Ph^JLh H [euml^eJ H JUb HaeligH MeJYKEgraveJUN`PJLhUTYXqNPbnJS^gtMJaumlJUP[]fcj H QR[]O[SX H MJIacutebLjehYUPJIacuteQcYu[]QVUPJUO QcO not QV[^ macr^gtMeJTbn[]O H []jehiexclJUP[]fUPJUYH [ONPfcfVmbn[]OUPJLhY[PJaelig[]O H MeJIacutecent=[]jO^NihQRJUY[SX H MJyXqNPbnJa not QV[^ macr^bj^OMeJyXiacuteNPbnJaeligQcYH MeJUONPbLbLjehdN H JUfVm YZJ[]ZOslashJUO H JU^^FMeJUacuteNSZOslashKfcQ H j^eJ[SX H MeJiexclUPJUfR[BbLQ H m QsYFNPfsY[laquo[]QVUPJUOQcO not QV[aqYj^ macr^ ^OecurrenJSe Xfrac34jNPO^WNtildeJUacutebLNPO [PcentYJLhYUPJ H MN HFH MeJ5XiacuteNPbnJUacutehZJ[]QR[]O QcYUPJLhYmWFJUfcf^eJUfsQZaringQ H JU^regXhZ[]Z H MJ[ H MJLhhZJ[]QR[]OY^MJ5UPJUfc[BbLQ H m[]QUPJUO QcO not QV[aqYj^ macr^ ^OecurrenJSe XQcObLfcj^eJUY H MeJNP^^Q H Qc[]ONPf H JLhlZaringYFbn[]ZaringQcOF[yXiacutehZ[]Z H MeJ5UiNihQcN H QR[]O [SX H MeJiexcl^eJUYbnhQRKeVH [PhY5WQ H Magrave`centj H ^e[BJUYOtildeOe[ H QcObLfcj^eJ H MeJaeligcentEgrave[]jO^NihlmVcentNPYZJU^ H JLhlZ WMQcbMeumlQcYUacuteNYYZaring[[ H MQsO[ H JLhlZ^KMeJtimesNSZOslashKfcQ H j^eJOtilde[SX H MeJyUPJUfc[BbLQ H maQcYiexclOe[PhlZaringNPfcQcurrenLJU^ centEgraveJ H WFJLJUOs NPO^ macrSmacre$YZjbdM H MN HTH MeJ OeJ[]N H QVUPJoU~NPfcjJUYIacuteNihZJ fR[WFJLh H MNPO f i`NPO^ H MeJKEgrave[]YZQ H QUPJ[]OJUYNihZJTMQ[]MeJLh H MNPOpoundf i^ J bLNPObn[]ZaringKNihZJ H MJ QcOQ H QsNPfUPJUfR[BbLQ H m[Pcent H NPQcOJU^jYZQcOF[ H MeJ bn[U~NihQsNPObnJZaringN H hdQk admacr s juWQ H M H MeJOtilde[]OeJOtilde[Pcent H NPQcOeJU^jYQcO[ H MeJordfUiNihQcNPObnJrega2Sj^KMeJordfXqNPbnJTQcYOe[ H WNtildeJUfsf9^eJ H JUb H JU^QcO H MeJUPJUfR[BbLQ H m[Pcent H NPQsOeJU^ajYQcO[ H MeJUiNihQcNPObnJa not Q[^ ^bjWMJLhZJUNPYIacuteQ H QcYIacutehZJUNPfcfmumlWNtildeJUfcfF^eJ H JUb H JU^QsO H MeJQcOQ H QcNPfUPJUfR[WbLQ H m7jYZQcOF[ H MeJbn[iVUiNihQcNPObnJpoundZ N H hQk a not QV[^ ^currencentj^_MeJ UPJUfR[WbLQ H m [Pcent H NPQcOeJU^ jYZQsO[ H MeJumlU~NihdQcNPObnJ^e[BJUYOe[ H NPfsfR[W NPOJltz bLQRJUO H YJ[]ZOslashJUO H N H QR[]O`[SX H MeJyXiacuteNPbnJauml[]O H MeJaumlbn[]O H hNihYm H [H MeJIacutebn[UiNihQcNPObnJlaquoZaringN H hQk^eJ H JLhZaringQcONPO H WMQsbM H N`PJUYUacuteNP^UiNPO H N[PJaelig[SX H MeJtimesbn[]fR[PhQcOFX[PhlZ N H QR[]OO^macr^ ^WVFEumlETH=gtNtildeFETH32EacuteltOacuterETHEacute`0Ntilde=KIgravek8ltIgraveFETHIgrave5=KETH32EacuteltOacute~2Oacute+(8ltIgraveEacute IcircIgrave5euml1IgraveFOacute=KIgraveIcircMJa^eJUYZbnhQcK H [PhYOslashcentNPYZJU^[]O H MJ`bn[UiNihQcNPObnJZaringN H hdQkNihJ`QZOslashK-fRJZOslashJUO H JU^ H [^eJ H JUb H MBjFZaringNPO XqNPbnJUYQcO UWQc^eJL[OacuteYJBjeJUObnJUY^MQsYaring^eJ H JUb H QR[]OegraveZaringNm cent=J`jYJU^Xiacute[PhtUWQc^eJL[ bn[B^QcO[ H [JUObn[W^eJYJUfcJUb H QVUPJUfVm H MeJOacuteMBjFZaringNPOegraveXqNPbnJS^ not [Ph`N []QVUPJUObn[]ZOslashKhZJUYZYZQR[]OOacutehN H QR[e H MeJoXiacuteNPbnJbLNPO7cent=J H hNPOYYZ Q HH JU^bWiexclQ H MN MQV[]MJLhThN H J H [H MeJ^eJ H hdQZOslashJUO H [SX H MeJcentNPbl`[Ph[]jO^O^uMQsY QsO H JLhZJUY H QcO[KhZ[PKEgraveJLh H m QcYUiNPfcjWVNicentfcJuX[PhUBQc^JL[Bbn[]OXiacuteJLhZJUObnJUYe]WMeJLhZJ H MeJ ZOslash[]Y H QZOslashKEgrave[Ph H NPO H NPO^regZOslash[]Y H U~NihdQcNicentfRJQcOFX[PhlZ N H QR[]OQcYfR[WbLN H JU^ []O H MJordfXiacuteNPbnJaq 5ZOslash[]Oe[]j`NPO^tUacutejMNSZaringJUfde sSsSs j^ J QcOQ H QcNPfcQVcurrenLJ H MJhdY H XiacutehNSZOslashJoWQ H M7N`bLQchbLfRJ QsOYZQc^eJ H MeJXqNPbnJ H [ H hNPbY`K^MJUOOeyacuteWFJsup1ZaringN`PJ H MeJNPb H QVUPJ7bn[]O H []jeheumlJUP[]fVUPJjYZQcOF[admacr s jeiexclWQ H MX8ordfaOgravejxaacuteILK KafUgravemiddot cent j^ltMeJregONPfybn[]O H []jehtimes[SX H MeJ bLjehZhJUO H QZaringN[PJ QcY H MeJUOOacutebdMe[]YJUO7NPYNPO QcOQ H QcNPfbLjhYUPJordfX[Ph H MJUacuteOJk H QZaringN[PJS^FMeJOtildeNPfV[P[PhQ H MFZMNPYcentEgraveJLJUOKEgraveJLhYXiacute[PhlZOslashJU^[]OYJUPJLhdNPf$YJjJUObnJUY^MeJaelighZJUYjf H Y5X[Ph H MJaeligYZJjeJUObnJpoundn5JLhQV`p NihJordm[]QVUPJUOQcOnot QV[^ethz^shyMeJaringKNihNSZaringJ H hZJ bMNPYaumlcentEgraveJLJUOYZJ HaumlH [sup1f s ^QMeJordmXqNPbnJ QcYordfWFJUfcfy^J H JUb H JU^NPO^ H hNPbY`PJU^times[]O H MJ|WMe[]fcJyYJjJUObnJS^MJyhZJUYZjf H YOX[Ph H MeJNtildeYZJjeJUObnJnN`WQVmP[]p

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ macrNihZJy[]QVUPJUO`QsO not QV[^ i^ JaeligbMe[B[]YJbaacute s ^ JtimesbLNPO`YJLJ H MN HH MeJXiacuteNPbnJaeligQcYuWFJUfcf^eJ H JUb H JU^aJUPJUOaQVX H MeJaumlbn[]fR[Phiexcl[SXMJLhYZMQRh H QsY(bLfR[]YJ H [ H MJgXiacuteNPbnJIacutebn[]fR[Ph^

YOEAEligMgtIltROgravesup3PshyAtildeT13MKI5O H MQcYKNiKEgraveJLheuWNtildeJKhZ[PKEgrave[]YJN OeJW 0jfRJLhQcNPOAumlZaringQsOQZaringQVcurrenUN H Qc[]OAumlZOslashJ H Me[W^ H [bn[]ZOslashK-j H J H MJUPJUfR[WbLQ H mpoundUPJUb H [Pharing[SXNPONPb H QVUPJ bn[]O H []jeh H MN H JUOYZjehZJUYtimesQ H WQcfcfJUP[]fVUPJ NPYordfXiacuteNPY H NPYOtildeKEgrave[]YZYZQRcentfcJ H [WNih^YIacuteNZaringQcOQCZIacutejFZ [SXN bnhQ H JLhQR[]OeumlQcObLfcj^QcOF[centEgrave[ H MUacutehZJ[]QR[]OeVcentNPYJU^TNPO^OtildecentEgrave[]jO^NihYmVcentNPYJU^ H JLhlZ Y^ q jehgNiKKhZ[]NPbMIacuteQcYcentNPYZJU^Otilde[]OYZMNiK=J[PK H QZaringQVcurrenUN H Qc[]OOslashKhQcObLQRKfRJUY$NPO^ QcYyKEgraveJLhYXiacute[PhlZOslashJU^ QcO H MehZJLJ5ZaringNPQcO Y H JLKYaringf^ltO H hZ[W^jb H QR[]O[SX$NOslash^mWONSZaringQcbLNPfYbMeJZOslashJIacuteQcO H MeJTbnhQ H JLhQR[]OOe ^vF[]ZOslashKj H N H Qc[]Oaelig[SX H MeJ_0jfRJLhdQcNPOaelig^eJLhQVUiN H QVUPJ[SX H MJbnhQ H JLhQR[]OOslashjYZQcO[OtildeYZMNiKEgraveJ

[PK H QZaringQVcurrenUN H Qc[]O H [[]fcYe^vF[]ZOslashKj H N H Qc[]Oa[SX H MeJtimesJUP[]fcj H Qc[]OaJBjN H QR[]O`[SX H MeJaeligNPb H QVUPJtimesbn[]O H []jehiexclXiacutehZ[]ZH MeJT^eJLhQU~N H QVUPJS^

iexcl Ntilde _ cent G NPfcfR[WY H [hJUNP^QcfVm H N`PJNtildeQcO H [NPbLbn[]jO H9H MeJybLNPYJ0[SXBhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H^eJUYbnhQRK H [PhY H MN H NihZJo[]fR[PcentNPfcfVmN HH NPbdMeJU^ H [ H MeJ JUP[]fVUWQcO[ hZJ[]QR[]OYtimesNPO^Y[H MN H UiNihYm^jehQsO[ H MJaumlKhZ[PKN[]N H Qc[]O [SX H MJaumlbLjehYUPJS^ JTYMe[W H MN HH MeJgUiNihQuVN H QR[]O [SX H MeJUYJ^JUYZbnhQRK H [PhdY QsO^jbnJUYNP^^Q H QR[]ONPf H JLhlZaringYQcO H MeJeumlJUP[]fcj H QR[]OJBjN H QR[]Oeuml[SX H MeJaringNPb H QVUPJ bn[]O H []jeh^MJUYJ H JLhlZaringYgZtimesjY H Oe[ H centEgraveJlaquoX[Phl[P[ HH JUOQcO[Ph^JLh H [ hZJUNPbMeumlN H hjeJZ QcOQZtimesjFZ[SX H MeJtimesbnhQ H JLhQc[]OaNPYUacuteQ H MNPYcentEgraveJLJUOKEgrave[]QcO H JU^[]j H QsOJkBKEgraveJLhQZaringJUO H NPfEgravehZJUYjf H Y^

Yfrac34XiacuteNiheumlNPYeumlMe[]ZOslash[S[PJUOeJL[]jYeumlbn[]fR[PheumlhZJ[]Qc[]OY`YZJ[]ZOslashJUO H N H Qc[]OQsY`bn[]ObnJLhdOeJU^OeWFJKhZ[PKEgrave[]YJ H MeJ`bn[U~NihQsNPObnJfrac34ZaringN H hdQk^eJ H JLhlZaringQcONPO H NPY N^eJUYbnhQRK H [Ph^MQcYY H N H QsY H QcbLNPfhZJ[]QR[]OeV4^eJLKEgraveJUO^eJUO H ^JUYZbnhQRK H [PharingNiKK=JUNihdY H [centEgraveJN UPJLhlm7hJUfRJU~NPO HH [B[]fampNPO^eumlY[ Q H MNPYUacutecent=JLJUOeumlYZjbLbnJUYZYXqjfcfVm NiKKfsQRJU^ H [XqNPbnJaring^eJ H JUb H QR[]OQcOfrac34UWQc^eJL[YJBjeJUObnJUY^

iquest acuteraquoacuteLacuteIltR]acuteAtildeagraveIgravefrac14dEcircsup1Atilde5AringiquestLmiddotNtildeIumliquestUumlgIumlUTHORNampAtildeEacutecedilAtilde5AringAcircnAtilde|iquestaacuteIacuteIumlIZEgravefrac14Zcedilfrac12frac14dAringiEcirc]iquestfrac14draquoiEcirc[NtildeIumlagraveAringEacutePAtildecedilwAacute4] uacute_^J^J^ iquest)` igraveraquoLCcedilfrac14cedil4Ecircfrac14draquo~Ecirc(Auml|AringAacuteCcedilfrac14Zcedil4Ecirc

Agrave5AringcedilAcircnAtilde$AtildeAcircnAuml|frac12AringAacutesup1AumldraquoTAringAEligwsup1raquo~ordm(frac12Atilde5AcircnAtilde5frac12AEligwAtildeAacuteampIgrave(Atilde AacuteIcirc~AumlUEcircSaIumligraveraquo13] x4~rv p4PldrRtcoPl|Egraveod5v pv i4vodaumlx4shyl not vsectpqo v tu not Iumlcb$Auml|EacutePAtilde|iquestednfrac14Oumlifrac14draquoIuml

agraveIgrave(Aumldraquo~Auml|Aringiquest~igrave4IumlPfrac14raquoiEcircfWIumliTHORNampAringIcircifrac14Igrave(Atilde5frac12G] divideugrave|ugrave|ugrave iquest` igraveAacuteAtildecedil4frac14ZAacutesup1Acirc|AtildeNtildeEacute~frac14dAgrave4UgraveUCcedilEgravefrac14cedil4EcircUacuteAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoUacuteOgraveregAumldcedilIcirc~sup1Atildecedil4frac14cedilAgrave4Icirc~sup1currenEumlAgravefrac14dfrac12=CcedilEgravefrac14AcircnAtilde5frac12AtildeAacutesup1Igravefrac14ordm|AtildeAgrave5AumlUEcircsup1raquo~ordmIaIumlaeligigraveiacuteraquoS] x4rv p ildrRtcodil|ampod5v pv P4vOtildeodOslashx4shy(l not vFsectpqo v tu not Iumlg frac14raquo~Agrave5AumldAring~AcircnAtildecediliquestehEgravefrac14raquoifrac14|Ecircfrac14Iuml

agraveAringEacutePAtildecedilwAacuteiquest[NtildeIumlWfrac14raquoiEcircifWIuml13b$Aumldcedilraquo~OumlcedilAuml|EacuteAEligqAacute4] divideugrave|ugraveuacute iquestkj ldrregv shy(ldrRtcl|ipwonm5v shyNtildetuOslashtushyl not vampipwo4v tu not sect9ldp4rRtcl|Egravedt lv pv ~rRtRl|9vDm~lrRtcod~ldiTrreg~vUacutel| Uiexcloqnldp4tcldrRtRod~ iquestpoAumlIuml uacute_qEr IumlOslashagrave9Ouml~Oumlfrac12sup1AtildeEcircaacuteUacutefrac14AacuteIcirc~AtildeIgravefrac14Aacutesup1Agravefrac14dfrac12BatildeAgravesup1Atilderaquo~Agrave5Atilde5AElig5iquestPatildeOumlcedilsup1raquoordm|Atildecedil g Atildecedilfrac12frac14dordmIumlhEgravefrac14dAEligwAtilde5frac12frac12Atilde5AElig5iquest g Iumliquest~szlig0Iumleb$sup1Igrave(Igrave(Atilde5frac12Riquestifrac14raquoiEcirc[NtildeIumlatildefrac14dOumlsup1cedilAumlI] uacute_^J^Er iquest`s[Atilde5AumlUEcircAtilde5AEligwsup1AgraveFfrac14dAgraveAacutesup1AcircnAtildeyAgrave5AumldraquoUAacuteAumldAringcedilAElig_aIuml x4~rv p4PldrRtcodPldpoundUodUp4Pl|WoqodshyiUrv paumlumltutcodutet13v uacute+w iquestex uacuteyIrz^ Iuml

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CBh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34LiquestBagraveyIumlWfrac14raquoiEcircidIumlBTHORNampAringraquo~Agravefrac14raquo13] uacute4^z^J^ iquest`[ampfrac14Igrave(AtildeEumlcAacuteIcirc~Atilde5AumlcedilAtildeAacutesup1Agrave(sup1raquoUAacuteAtildeordmdcedil4frac14Aacutesup1AumldraquoaeligOgraveuAumldcedil0sup1Igravefrac14dordmdAtildeAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIuml xQ|||~pwl~ lnrRtcodNtildeodiexclsect9lrRrv p auml9Pl| ~tuyldi j l|4Utu]vx4~rvreg t not v P4v Iumlh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34Liquestgagrave0IumliquestIumlgatildeUAacute4frac14dsup1Eacuteiquest9frac14draquoiEcircdIuml9THORNampAringraquo~Agravefrac14raquo13] uacute_^J^ xiquest` THORNampAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeIacuteEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34iraquo~Ecircsup1raquo~ordmsup1raquoIgrave(AtildeEcircsup1Agravefrac14frac12iexclsup1Igravefrac14ordm|Atilde5AEligaringEacuteLfrac34Oacutesup1raquoLAacuteAtilde5ordmcedil4frac14Aacutesup1raquo~ordm ordmdcedil4frac14|Ecircsup1Atilde5raquoLAacute frac14raquoiEcirccedilAtilde5ordm|sup1Auml|raquo sup1raquoOgraveuAumldcedilIgravefrac14ZAacutesup1Auml|raquo13aIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu notI iquesteE ^4y rdugrave Iumlh=Icircifrac14raquoiquestBETHIumlWfrac14raquoiEcircIuml g Atilde5AEligwAtildeJ] dividedugravedugraveuacute iquest` agraveAgraveAacutesup1AcircnAtildeFAgrave5Auml|raquoLAacuteAuml|AringcedilAElig$Ccedilgsup1AacuteIcircAuml|AringAacuteNtildeAtilde5Ecircordm|AtildeAElig_aIuml xQ||k|~pwld lnrRtcododUacutex4shy(l not v9sectpqo4v 4tu notuU v divideJw iquest divide xJx ydividezrJr Iumlh=Icirc~Atilde5AEligwraquo~frac14dAring~EcirciquesthIumliquestfWIuml=szligAtildeOgraveYacutecedilIAtilde5ordm|sup1Atildecediliquestfrac14draquoiEcirc g Iuml5Z=AumldAring~frac12AtildeAacute4] uacute_^J^z^ iquest`currenatildeUAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12cedilAtilde5ordmdsup1AumldraquoAEligwraquoifrac14dUgrave|AtildeEumlsEacuteifrac14dAEligwAtilde5EcircAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquofrac14|Ecircfrac14dOumlAacuteAtilde5EcircFAacuteAumlyEcircsup1s]AtildecedilAtilde5raquoLAacute-Ouml~IcircLfrac34AEligwsup1Agrave5frac14dfrac12~raquoAuml|sup1AEligwAtilde9Igrave(AumlUEcircAtilde5frac12AElig_aIuml xQ||k|~pqld~ lnrRtco~$osect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4vt iquest uacute|uacute_q y~uacute|uacute xIumlh=Auml|IcircAtilde5raquoiquestIuml] uacute4^z^uacute iquest`currenmiddotraquofrac14dAgrave Aacutesup1Acirc|Atilde Agrave5AumldraquoLAacuteAuml|AringcedilIacuteIgrave(AumlUEcircAtildefrac12AEligtimesfrac14draquo~EcirceumlEacuteifrac14dfrac12frac12AumlLAuml|raquoAElig_aIuml odshyiUrv pumltutcod pwl Utc0ldix4shyl not vsectEgravepwo4v tu not x4shyl not vOtildePnv p rsldidtu not) iquest divideUuacuteduacuteydivideLuacute UIumlh=Auml|IcircAtilde5raquoiquestSIumliquestUumlIuml13ZEgravefrac14cedil4Ecircsup1raquo~AtildeAacuteiquestfrac14raquoiEcircoNtildeIumlagrave9frac34Lfrac14dAgrave4Icirc~AtildeJ] uacute_^J^z iquest`atildeUAringcedilwOgraveufrac14dAgrave5Atilde0cedilAtilde5Agrave5Auml|raquoAEligqAacutewcedilAring~AgraveAacutesup1AumldraquotimesAring~AEligwsup1raquoordmfrac14AgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilaumlIgrave(AumlUEcircAtilde5frac12AElig_aIuml igraveiacuteraquoS] Lsect=xQ|od5v pv P4v od vwodshy(v rRp tc j v rregodtimestuodshyiUrv pumltutco Iuml~atildefrac14raquoUacuteTHORNampsup1Atilde5ordm|AumliquesthEgraveagraveyIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquestEgraveUumlIuml] dividedugrave|ugravedugrave iquest`currenatildeAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquo Ouml~frac14cedilAgrave5Auml|raquoLAacuteAuml|AringcedilAEligUacutefrac14AgraveAacutesup1currenOgraveuAEligUacuteAtilde5raquosup1Igravefrac14dordmdAtildecedilsup1AtildeIacuteIgraveAtilde5Ecircsup1Agravefrac14dfrac12AtildeIacuteEcircfrac34UEumlraquoifrac14dIgrave(sup1ecircLAring~Atilde]ampfrac14Ouml~Ouml~frac12sup1Agravefrac14ZAacutesup1AumldraquoAtilde5raquoeumlAgravefrac14Zcedil4Ecircsup1Auml|frac12Auml|ordmdsup1Atilde raquoUAring~Agravefrac12Atilde5frac14dsup1currencedilAtildeJaIumlfIcircIuml THORNFIumlAacuteIcirc~Atilde5AEligwsup1AElig5iquestraquo~sup1AcircnAtildecedilAEligwsup1currenAacutefrac34`AumlOgraveosup1Agrave5AtildeEumliacuteatildeAumldOuml~Icircsup1Yacutefrac14NtildeagraveraquoLAacutesup1OumlPAuml|frac12sup1AElig5iquestPeacutecedil4frac14raquo~Agrave5AtildedIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquest|UumlIumliquestUaacuteIacuteIumlEZEgravefrac14cedilfrac12frac14dAring~Ecirciquest[NtildeIumlLagraveAringEacutePAtildecedilwAacuteiquest|frac14draquoiEcirc dIumlnTHORN$frac14ZcedilAgrave5Auml|AringcedilwAacute4] divideugrave|ugraveUuacute iqueste`currenatildeOuml~frac14dAgrave5AtildeEgraveAacutesup1Igrave(AtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14EumlAacutesup1AumldraquoUacuteAring~AEligwsup1raquoordmfrac12Atilde5AcircnAtilde5frac12AEligwAtildeAacutefrac14dAgraveAacutesup1AcircnAtilde$AgraveAuml|raquoLAacuteAuml|AringcedilAEligfrac14Ouml~Ouml~frac12sup1AtildeEcirciexclAacuteAumlFIgraveNtildefrac34LAumlLAgravefrac14Zcedil4Ecircsup1frac14dfrac12ordmnfrac14ZAacuteAtildeEcircOtildeatildeIf-UumlkhEgraveETHaIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu not t v rJw iquest)x qJ+y xJ ^ Iuml

THORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquest13iexclNtildeIumlfrac14draquo~EcircdIumlWaacuteAuml|raquoLAacute4frac14ordm|raquoifrac14ZAacute4] divideugrave|ugraveUuacute iquest` ETHBAumldOumlPAuml|frac12Auml|ordmfrac34Oslashfrac14raquoiEcircIacuteAEligwIcirc~frac14dOumlPAtildeAgraveAuml|raquo~AEligqAacutewcedil4frac14sup1raquoUAacuteAEligyAumldraquotimesOumlifrac14Zcedil4frac14EumlIgrave(AtildeAacutewcedilsup1AgraveOslashfrac14dAgraveAacutesup1AcircnAtildearingAgrave5AumldraquoLAacuteAuml|AringcedilAElig_aIuml odshy~rv pumltutcodldP x4shy(l not vPLv p4rsldPtu notcent) v divideJw iquestuacute_qnugrave4yiuacute4rUuacute Iuml[Auml|Igrave(Atilde5AElig5iquestpounddIumlfrac14draquo~EcircaringmiddotNtildeIumleacuteifrac14Aring~ordm|Atilde cedil4frac14dAElig_] divideugrave|ugrave|ugrave iquestcurren` szlig9Atilde5Agrave5Aumldraquo~Agrave5sup1frac12sup1raquo~ordmIacuteEcircsup1AEligqAacute4frac14draquoAgrave5AtildeOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligfrac14draquo~Ecircaeligfrac12Atilde5AcircnAtilde5frac12EgraveAEligwAtilde AacuteAElig_aIumlpoundUodUp il|WoqUacuteumltul|-odshyNtildeshyFU~tR4lrRtcodTldix4shyl not vampgvipv v rsldrRtcod ) iquest dividedugravez^+ydivideddividez Iuml[cedil4frac145frac34LiquestszligyIumliquestdIumlyen-Auml|Aringraquo~ordmiquestampfrac14raquoiEcircagrave0Iumlampagravesup1currenfrac34LAtildecedil4] dividedugravedugraveuacute iquest `aacutesup1raquosup1IgraveNtildeAring~Igrave Ecircsup1AEligwAgrave cedilsup1Igrave(sup1raquo~frac14Aacutesup1Auml|raquosup1raquoOgraveregAumldcedilIgravefrac14Aacutesup1AumldraquoAgrave5frac12Aring~AEligqAacuteAtildecedilsup1raquo~ordmI]Igrave(AumlUEcircAtilde5frac12sup1raquo~ordmTfrac14raquoiEcircOslashecircLAringifrac14raquoUAacutesup1Ocircfrac14ZAacutesup1Auml|raquoOslashCcedilgsup1currenAacuteIcirc ordm|frac14dAringAEligwAEligIgrave(sup1currenicircAacuteAringcedilAtilde5AElig_aIumlTigraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquest=atildePIumliquest=aacuteIacuteIumlkZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestEgravefrac14raquoiEcirc[NtildeIuml=agrave9Aring~EacutePAtildecedilwAacute4] dividedugrave|ugraveUuacute frac14Uiquest` agrave EumliacuteatildeUAacuteAtilde5Ouml frac14dfrac12ordm|Aumlcedilsup1currenAacuteIcirc~IgraveAring~AEligwsup1raquoordmcedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtilde=Agrave5Auml|raquoLAacuteAuml|AringcedilAEligeOgraveuAumldcedilAcircUsup1EcircAtilde5AumlAuml|EacuteUbrvbarqAtilde5Agrave AacuteAElig=EcircAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoSaIuml~igraveraquo13]psect xw j x4 sect odpDumlqo odUacutex4shy(l not v9Pl| ~tu5op j rRtushyvwdtclNtildex4rv pwlnrRtKndvy]v pntc4v IumliETHWfrac14dIgrave(OumlPAtilde cedilAtilde|iquestieacuteWsup1raquofrac12Yacutefrac14raquoiEcirc]Iumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquestUatilde]IumliquestUaacuteIacuteIumlUZ=frac14cedilfrac12frac14dAring~EcirciquestUfrac14raquoiEcirccopy[NtildeIumlUagrave9Aring~EacutePAtildecedilwAacute4] dividedugravedugraveuacute EacuteiquestA` szlig9Atilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14AgraveAacutesup1AcircnAtildegAgrave5Auml|raquoLAacuteAumldAringcedilAEligOgraveuAumldcedilAcircUsup1YacuteEcircAtilde5AumlaringAuml|EacuteUbrvbarqAtilde5Agrave AacuteOtildeAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo Ccedilgsup1currenAacuteIcircaAgrave5frac14dIgrave(Atildecedil4frac14OslashAgrave5AumldIgrave(OumlPAtilde5raquo~AEligfrac14ZAacutesup1Aumldraquo13aIumligraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquesteatilde]IumliquestWaacuteIacuteIumlZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestefrac14draquo~Ecirc[NtildeIumlBagraveAring~EacutePAtilde cedilwAacute4] divideugrave|ugraveuacute Agrave|iquestk` g sup1EcircAtilde5AumlUacuteAuml|EacuteUbrvbarqAtildeAgraveAacuteFAEligwAtildeordm|Igrave(Atilde5raquoLAacute4frac14Aacutesup1AumldraquoAring~AEligwsup1raquo~ordmIacuteAtilde5Aring~frac12Atildecedilsup1frac14draquo cedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAElig_aIuml igraveiacuteraquoS] x4rv p ildrRtcodil|yodv pwv P4vIacuteoodshyiUrv paumlumltutcod Iuml g frac14draquoAgrave5Auml|AringAcircnAtildecediliquestehEgravefrac14draquo~frac14|Ecirc~frac14UIumlbyfrac14dAEligwAElig5iquesteaacuteIacuteIumliquestWagrave0Iuml Ucirc sup1currenAacuteUgravesup1raquoiquestWfrac14raquoiEcirctimesTHORNFIumlWETHBAtildecedilOcirc5AumldOumlPAuml|Aringfrac12AumldAElig_] uacute4^ JUiquestk`currenatilderaquoifrac14UgravenAtilde5AElig_]WagraveAgraveAacutesup1AcircnAtilde(Agrave5AumldraquoLAacuteAuml|Aringcedil0Igrave(AumlUEcircAtilde5frac12AElig_aIumlx4~rv p4PldrRtcoPl|WpoundUop4PldWoqodshyiUrv pTumltutcod iquest ndivideUuacuteyUzndivide Iuml

aacuteUacutefrac14dfrac12frac12frac14|Ecircsup1ciquest~szlig0IumliquestedIuml]atildeUAtildeAacuteIcirc~sup1frac14raquoiquest~frac14draquoiEcircZIuml g Atilde5IgraveNtildeAringcedilsup1G] uacute4^z^ UiquestS`atildeUIcircifrac14OumlPAtilde$Igrave(AumlUEcircAtilde5frac12sup1raquo~ordm0Ccedilgsup1AacuteIcirciexclOgraveregcedilAuml|raquoLAacuteOumlcedilAumldOumlifrac14dordm|frac14EumlAacutesup1Aumldraquo13]nfrac14ampfrac12AtildeAcircnAtilde5frac12AEligwAtildeAacuteEgravefrac14Ouml~OumlcedilAumlnfrac14dAgrave4Icirc13aIuml xQ|||~pwld lnrRtcodampodsectgldrRrv p 9Pl| ~tu9ldP j ln4Utreg]vx4~rvu t not v i4v Iordf iquest uacute z yiuacute+r UIuml

aacuteUacutefrac14draquoAEligwAuml|Aringcedilsup1Riquestagrave0Iumlfrac14draquo~EcircdIumlb$Auml|raquocedil4frac14|EcircS] uacute_^J^J^ iquestlaquo`currenaacuteAumldAacutesup1AumldraquoAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo`Ccedilgsup1currenAacuteIcirceumlfrac12Atilde5AcircnAtildefrac120AEligwAtilde AacuteAElig_aIuml igraveraquo13]x4~rv p4PldrRtcoPl|=ov pwv P4vNtildeodUacutex4shyl not vsectEgravepwo4v tu not Iumlcb$AumldEacutePAtilde|iquestednfrac14dOuml~frac14draquoIuml

aacuteAuml|raquoLAacute4frac14dordmdraquoifrac14ZAacuteiquestdIumliquestziexcl0IumlTHORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquestdfrac14draquo~EcircoNtildeIumlZagravegfrac34Ufrac14dAgrave4Icirc~AtildeJ] dividedugrave|ugraveUuacute iquest` agraveOslashcedilAtildeAcircsup1AtildeCcedilaeligAumldOgravePEcircAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeAEligwAringcedilwOgraveufrac14dAgrave5AtildeAElig_]AacuteAuml|OumlPAuml|frac12Aumldordmdfrac34Liquestgordm|AtildeAuml|Igrave(AtildeAacutewcedilwfrac34frac14draquoiEcirc EcircAtildeOgraveuAumlcedilIgravefrac14Aacutesup1Auml|raquoSaIuml x4shyl not vtimesldiOacuteumltutcododshy~rRtreg not0Inot v uacute_qw iquestuacuteugravendivide+y~uacuteugravezq|ugrave Iuml

aacuteAring~IgraveOgraveregAumldcedil4Ecirciquest=THORNFIumlgfrac14raquoiEcircdIumlatildeIcirc~frac14dIcircS] uacute4^ ^ iquest`currenmiddotOumlAacutesup1Igravefrac14frac12$frac14dOumlOumlcedilAumlicircsup1Igravefrac14Aacutesup1Auml|raquoAEligEacuteLfrac34Oumlsup1AtildeAgrave5AtildeCcedilgsup1AEligwAtildetimesAEligwIgrave(AumlLAumlAacuteIcircOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligFfrac14raquoiEcircOslashfrac14dAEligwAEligwAumlLAgravesup1Yacutefrac14ZAacuteAtildeEcircaringAcirc|frac14Zcedilsup1Yacutefrac14ZAacutesup1Auml|raquoifrac14frac12EgraveOumlcedilAumldEacute~frac12Atilde5Igrave(AElig_aIuml odshyNtildeshyFU~tR4lrRtcod~oaeligsectEgraveUpvUacuteldiEgraveni tsvw j ldrreg~v shy(lrRtccurrenshyt iquest rzr4y xJ q Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfa

yenKbrvbarsect =4 acirc $ zmiddotAEligwIcirc~AtildecediliquestdatildePIumlfrac14draquo~EcircdIumlnatildeAtilde AacuteIcirc~sup1frac14draquoS] uacute4^ ziquest` eacutecedilAuml|raquoLAacuteAEligeOumlcedilAumldOumlifrac14ordmnfrac14Aacutesup1raquoordmCcedilgsup1currenAacuteIcircFAgrave5AringcedilAcirc|frac14ZAacuteAringcedilAtildeEumlEcircAtilde5OumlPAtilde5raquoiEcircAtilde5raquoLAacuteBAEligwOumlPAtildeAtildeEcircS]

agravefrac12ordm|Aumlcedilsup1AacuteIcircIgrave(AEligEacute~frac14dAEligwAtildeEcircaumlAuml|raquoiexclampfrac14Igrave(sup1frac12AacuteAumldraquoEumldnfrac14Agrave5Auml|Eacutesup1eacute~AumldcedilIgraveNtildeAring~frac12frac14Aacutesup1Auml|raquoSaIuml poundUodUp4Pl|oqiexcloshyiUrsldrRtcoPl|sect=U~tc ordfenot iquest uacutedivide4yEqE^ Iumlfefrac14cedil4frac14ordm|sup1Auml|AElig5iquestoNtildeIumlfrac14draquo~EcircIacuteszligyIuml]THORNampAtildecedilsup1Agrave4Icirc~AtildeJ] uacute4^z^J^ iquest`s[Atilde5AumlUEcircAtildeAEligwsup1Agravefrac14AgraveAacutesup1AcircnAtildeFcedilAtilde5ordmdsup1Auml|raquo~AElig$OgraveregAumldcedil0Igrave(AumldAacutesup1Auml|raquoTAtilde5AEligqAacutesup1Igravefrac14Aacutesup1Aumldraquofrac14draquoiEcircAacutewcedil4frac14dAgrave4UgraveUsup1raquoordmAaIumligraveiacuteraquoS] x4rv p ildrRtcodil|-ov pwv P4vFodOslashodshyiUrv paumlumltutco Iumleh=AumldcedilwOgraveregAringgt[cedilAtilde5Atilde5Agrave5Atilde|Iumlfefrac14AacuteAtilde5Aringicirc]iquestatilde]Iuml] dividedugravedugrave|ugrave iquestpound`currenatildeOuml~frac14Aacutesup1frac14dfrac12AEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoTAumldOgrave=Agrave5Auml|frac12Aumlcedilysup1Igravefrac14ordm|Atilde5AEligampfrac14dAgrave5Agrave5Aumlcedil4Ecircsup1raquo~ordmAacuteAumlUacuteaacuteTHORNaringOgraveregAumldcedilIgravefrac14dfrac12currenEumlsup1AEligwIgraveaIumlyigraveraquo13] x4~rv p4PlrRtcodPld=od5v pv i vodododpFtu pwl4UtcldPx4shyl not vysectpqo v tu not Iumlatildefrac14dsup1raquoLAacute UumleAacutesup1Atilderaquo~raquo~Atildediquestieacutecedil4frac14raquo~Agrave5AtildedIumlfcedilAtildeAgrave5sup1Auml|AEligwAumliquesteacute=IumlEgravefrac14raquoiEcirc aacuteIacuteIumlcurrenZEgravefrac14cedilfrac12frac14dAring~EcircS] dividedugrave|ugraveUuacute iquest` Z-EumliacuteatildeUOuml~frac12sup1raquo~Atildeaumlfrac14dAgrave Aacutesup1Acirc|AtildeOtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAEligOgraveregAumldcedilOgraveRfrac14AEligqAacuteAcircUsup1EcircAtilde5AumltimesAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIumlOacuteigraveraquo13] x4rv p ildrRtcodil|od5v pv P4vaeligod x4shy(l not vUacutesectpqo4v 4tu not IumlETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1Riquest[cedilAtilde5Atilde5Agrave5Atilde|Iuml

szligAumldraquoOgraveufrac14cedil4EcirciquestszligyIuml] uacute_^J^q iquest` szlig9Atilde5ordmdsup1AumldraquoEumlsEacuteifrac14AEligwAtildeEcircFAEligqAacutewcedil4frac14ZAacuteAtilde5ordm|sup1Atilde5AEligeOgraveuAumlcedil-frac14dAgraveAacutesup1AcircnAtildeEgraveAgraveAuml|raquoLAacuteAuml|AringcedilIgrave(AumlUEcircAtilde5frac12AElig_aIuml x4~rv p4PldrRtcoPl|poundUodUp il|WoqodshyiUrv paumlumltutco I v dividezw iquest divideddividez^+yUdivide uacute Iuml

atildefrac14Igrave(AEligwAuml|raquoiquestzhIumliquestzIumlzZ=frac12frac14raquo~AgraveEumleacuteAtildecedil4frac14AringiEcirciquestJ[NtildeIumldagraveAringEacutePAtildecedilwAacuteiquestfrac14draquo~Ecirc dIumlJregPAtildecedilAring~Eacutesup1frac14I] dividedugravedugrave|ugrave iquest` agrave frac12Atilde5Acirc|Atilde5frac12UAEligwAtildeAacuteIgrave(AumlUEcircAtilde5frac12nOgraveregAumldcedilsup1Igravefrac14ordm|AtildeAgrave5frac12frac14dAEligwAEligwsup1siAgravefrac14ZAacutesup1Auml|raquo13aIuml x4~rv p4PlrRtcodPldpoundUodUp4Pl|BoqNtildeodshyiUrv pOtildeumltreg4tRod shy v Ew iquest uacute r4y~uacute4^Er Iuml

atildefrac14raquo~ordmdCcedilgsup1raquoAtilde|iquest9atilde]IumlEgravefrac14draquo~Ecircszlig0IumlampiexclAumldcedilraquoAtilde v Atilde5EcircAElig5Iuml w ] uacute_^J^ Uiquest ~vIacuteo|odUpaumltushyl not vipqo4v 4tu not ldP|m4oo4uml Iumlh=Icircifrac14dOumlIgravefrac14draquodegmacriexclampfrac14dfrac12frac12RIumlatildeAtildeAacuteIcircsup1frac14draquoiquestdIumlplusmn] uacute4^z^|ugrave iquestU` oAringIgrave(Atildecedilsup1Agravefrac14dfrac12Ufrac14frac12ordm|Aumldcedilsup1currenAacuteIcircIgrave(AEligWOgraveuAumldcedilOumlcedilAuml|Oumlifrac14ordmnfrac14ZAacutesup1raquoordmsup1raquoLAacuteAtildecedilwOgraveRfrac14Agrave5Atilde5AElig_]Jiexclampfrac14dIgrave(sup1frac12currenAacuteAuml|raquoEumldnfrac14dAgrave5AumldEacute~sup1

AtildeecircLAringifrac14Aacutesup1Aumldraquo~AElig-frac14draquoiEcircAgraveAuml|raquo~AEligwAtilde cedilAcirc|frac14ZAacutesup1Aumldraquo(frac12frac14CcedilgAElig_aIuml poundUodUp4Pl|]oqEgraveyen$t lv pv rRtcl| voshyv rRp~ iquest uacute4Uuacutey~uacute x uacute IumlatildeAtildeAacuteIcircsup1frac14draquoiquestAdIuml] uacute4^J^ xiquest kWvndvB]v r j v rregod IumlcurrenhEgravefrac14dIgraveNtildeEacutecedilsup1EcircordmdAtilderaquosup1AcircPIumlAfecedilAtilde5AEligwAElig5Iumlatildesup1Ecirc~Ecircsup1ecircUsup1Riquest4bIumliquest_yenNtildeIumlBfrac14Aring~Ocirc5sup1Gsup2AtildecedilAtilde|iquestagraveyIumlETHWfrac14draquoraquo~Atilde5raquoUEacute~frac14dAring~IgraveUacuteiquest5frac14draquo~EcircNtildeatildePIumlregPAring~Agrave4UgravenAtildecedil4] uacute_^J^ xUiquestE`currenagravegcedilAtildefrac149frac14draquoiEcirc$frac12Atilde5raquoordmdAacuteIcircyIgrave(sup1raquoEuml

sup1Igrave(sup1Ocirc5sup1raquoordm sup3iAumlCcedilgAEliggOgraveuAumldcedilAEligwIcircifrac14OumlPAtildeyAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo13aIuml xQ|||~pwl~ lnrRtcodoOtildex4shyl not vsectEgravepwo4v tu notordf v Ew iquest qEz+yqzqE Iumlyen=AtildeOcirc5Ocirc5sup1RiquestagraveyIumliquest5agrave0Iuml5ETHEgraveAEligfrac14dsup1Riquestfrac14draquo~Ecirc$agrave0Iuml Ucirc sup1frac12frac12AEligwUgraveLfrac34] uacute4^z^J^ iquestJ` agraveaeligAEligqAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12Ufrac14dOumlOumlcedilAumlnfrac14Agrave IcircampAacuteAumlgAEligwraquo~frac14dUgravenAtilde5AElig]OgraveuAumlcedilWEacutesup1Igrave(AumlUEcircfrac14dfrac12frac14draquoiEcircAacutewcedilsup1Igrave(AumlUEcirc~frac14frac12isup1Igravefrac14dordmdAtildecedilwfrac34aIumligraveraquo13] x4rv p ildrRtcodil|eodv pwv P4vyodx4shyl not vgsectpqo v tu not IumlAb$AumldEacutePAtildednfrac14dOuml~frac14draquoIumlreg]IcircUAringiquest]atilde]Iumlfrac14raquoiEcircaumlagrave0Iumleyen=Aringsup1frac12frac12AtildeJ] uacute_^J^ xUiquestpound` szlig9Atilde5ordmdsup1AumldraquotimesAgrave5AumldIgrave(OumlPAtildeAacutesup1currenAacutesup1Auml|raquo13]iAring~raquo~sup1currenOgraveYacutefrac34sup1raquoordmiexclAEligwraquo~frac14dUgravenAtilde5AElig5iquestPcedilAtildeordm|sup1Auml|raquoTordmdcedilAumlCcedilgsup1raquo~ordmiquestfrac14draquoiEcircZEgravefrac145frac34LAtilde5AEligacute|aacuteTHORNOgraveregAumldcedilIgraveFAring~frac12currenAacutesup1Eacuteifrac14raquoiEcirc sup1Igravefrac14ordm|AtildeTAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo13aIuml xQ|||micro~pwld lnrRtcodtimesosect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4v Icent iquesteJ q+yU^dugrave|ugrave Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfo

i $amp)(+-)013021+345627893lt=gt9A6CBfrac12OcircacuteIshyNT

frac12OcircacuteIltNTpara frac12frac34EMeJaumlQcYZYZjJUacuteQsY H [ ^QEgraveJLhZJUO H QcN H J H MeJordfXiacute[]fcfR[WQcO[Oslash^e[]ZaringNPQsOXiacutejOb H QR[]ONPfdaringocirc|adOuml times jOcircaacute uuml times a2atildeltszligaumlgtszliglOuml times j atilde auml

G QsObnJ H MJeumlYZJ H [SXIacuteNPfcfUacute^e[]ZaringNPQsOYMNPY Oe[ H N Y H hjb H jhZJ`[SXUPJUb H [PhQcNPfOtildeYZKNPbnJSefRJ H jYZ N`PJ H MeJeumlhZJ[]QR[]OYJUP[]fVUPJ H MehZ[]j[]M NrXqNSZaringQcfVm [SX H hNPOYYX[PhlZ N H QR[]OYa(|aagraveszlig jj emiddot iacuteaumlYlZOslash[[ H MaNPO^ centQ ~JUb H QVUPJS^ not [PhNOslashKEgrave[]QcO H $ aacute atildeshyszligaumlN eFWFJTOe[ H JSaring$ aagravej|aacutemiddot|aagraveszlig $ j WiexclQ H M |a s szlig $ jaacute $OumlcopytimesaagravejOcircaacutemiddot|aagraveszliglOumlutimesdj WiexclQ H M |a s szliglOumlcopytimesAjOcircaacuteAumlOumlutimes9J H jY H MeJUO^JOeJ H MeJordfUPJUfR[WbLQ H moUPJUb H [PhdY JUfs^kfrac12 YZjbM H MN H aringfrac12sup1aagraveszlig $ aagravejj|aacute aelig |aelig agrave aagraveszlig $ j YlaquoXiacuteNiharingNPY H MeJ bn[]ZOslashKj H N H QR[]O[SX H MeJ ^eJLhQU~N H QVUPJ QcYOslashbn[]ObnJLhOeJU^OeWFJNihZJQcOWVH JLhZJUY H JU^ QcO YYZaringNPfcfOtilde^JX[PhlZ N H QR[]OY^ J H MBjYJkWKNPO^ H MeJ H hNPOYX[PhZaringN H QR[]ONPbLbn[Ph^QcO[ H [hdY H [Ph^eJLh NmWfR[PhyacuteXiacute[PhlZtimesjfcNaring|aagraveszlig $ jpoundaacuteAElig|a s szlig $ j agrave aelig |aelig agrave a s szlig $ jaacute $ ragrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacute frac14 frac14 a s szlig $ j^ J H MeJUOQcO H hZ[W^jbnJ H MehZJLJgZ NPQcO^eJOQ H QR[]OYaringf^QMeJg0jfRJLhQcNPO^eJLhQU~N H QVUPJOtilde[SXocirc|adOuml times jordfaqQcO H MeJIacute^QRhZJUb H QR[]O[SXcedilfrac12jaring ocirc|adOumlcopytimesszlig_frac12jOcircaacutefcQZUcedil iacute ocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave admacrfj ^QMeJgZaringN H JLhQsNPfg^eJLhQVUiN H QVUPJOtilde[SXuumlStimesYa $ szliglOumlcopytimes)jaringsup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j|aacutefcQZUcedil iacute uumlStimesa $ ragrave3frac12ba $ jszliglOumlutimes agrave3frac12sup1a $ jj uuml]timesa $ szliglOumlcopytimesdjagrave admacr j^QMeJaumlYZMNiKEgraveJOtilde^eJLhQU~N H QVUPJOtilde[SXOcircuuml]timesa $ szliglOumlutimes)jaring

uumlnotraquotimes a $ szliglOumlcopytimesUcircszlig_frac12 jaacutefcQZUcedil iacute uumlStimesYa $ szliglOumlutimesragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave admacrS]j

uumlnyacutenthornnyumll13YSordmY_Fordfy

yenKbrvbarsect =4 acirc $ hq centUWQR[]jYZfVmSe-centmaJkBKNPO^QcO[ admacr jUacuteNPbLbn[Ph^QcOF[ H [hdY H [Phd^eJLhordfNmBfR[PhordfXiacute[PhlZtimesjfcNeWFJaumlMNUPJSaring sup1uumlStimesYa $ szliglOumlcopytimesUcircszlig_frac12 jaacuteAumluumlnotraquotimes a $ szliglOumlcopytimesszlig_frac12jhuumlStimesa $ szliglOumlcopytimes)j frac12sup1a $ j admacrj J H MeJUOabn[]ZOslashK-j H JZOslash[PhJaumlKhZJUbLQcYZJUfVm H MJ0jfRJLhQcNPO ^eJLhdQVU~N H QUPJauml[SXcopyocirc|adOumlcopytimesdj^ JMNUPJSaringocircOcircadOumlutimesaagravejj ocircOcircadOumlutimes)jagrave aacute fagrave = thorn yuml uuml times a $ aagravejszliglOuml times aagravejj $ uuml times a $ szliglOuml times j $ FH admacrSmacr]j5O H MJohY H QcO H J[PhdNPfdeltWFJZaringN`PJ H MeJU~NihdQcNicentfRJ bMNPO[PJ $ aagravejaacute $ agrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacuteethicirc7a2atildeshyszligaumlFjszligicirc cent a2atildeltszligaumlj eWMQcbdM[]QVUPJUYaring thorn yuml uuml]timesYa $ aagravejszliglOumlcopytimesYaagravejj $ aacute admacrS]j

5 uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlutimes agrave3frac12sup1a $ jjlt^eJ H ocirc a $ jlt $WMJLhZJocirc a $ jQcY H MeJgXiacute[]fcfR[WQcO[aringSNPbn[PcentQcNPOtZaringN H hdQkKaring

ocirc a $ jaacute oacute fcedilxagrave frac14 iacute oslashfrac14Uordm agrave frac14 iacute oslashfrac14 ugraveagrave frac14 iacute acircfrac14ordm fcedil agrave frac14 iacute acircfrac14 ugrave ocircNPO^ YZ[eFWNtildeJIacuteMNUPJSaring

^eJ H ocirc a $ jOcircaacute fUragravee^QVUKafrac34frac12sup1a $ jjragrave cent ^eJ H amacr frac12sup1a $ jjMJUOWNtildeJauml[Pcent H NPQcOOaring

fsQZcedil iacute ^eJ H ocirc a $ j fagrave aacute ^QVUKafrac34frac12sup1a $ jj admacr]zSjMJJBjN H QR[]OxadmacrSmacr]j H MeJUOcent=JUbn[]ZaringJUYaringocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave aacute fagrave middot uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jjlt 13raquo ocirc a $ jlt $ uumlStimesa $ szliglOumlcopytimesAj $ admacrSi]j JTbLNPO`YZjeKKEgrave[]YJ H MN H ^eJ H aocirc a $ jjfrac14aacute sfrac12 agrave frac12 $ ^ JZaringNm H MeJUO H N`PJ^eJ H aocirc a $ jjfrac34 s eNPO^ WNtildeJ ^eJUPJUfR[PK H MeJaJkWKhZJUYYZQR[]OadmacrSi]j NPYoX[]fsfR[WQsO[centmNP^^QcO[aringN H JLhZ QcO H MeJIacuteYZJUbn[]O^aQcO H J[PhNPfltWMQcfcJaumlYZjeKKhJUYZYZQcO[ H MeJtimesYZNSZOslashJ H JLhlZQcO H MJordfhY H QcO H J[PhNPfdaring ocirc|adOumlcopytimesYaagravejj ocirc|adOumlcopytimes)jagrave aacuteegraveOtildef1rOtilde cent admacrSh]j

uumlnyacutenthornnyumll13YSordmY_Fordf

s $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJSaring

Otilde aacute uuml]timesa $ ragrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave ^eJ H aocirc a $ jj $ ad s jOtilde cent aacute uuml]timesa $ szliglOumlcopytimesdj ^eJ H aocirc a $ jj fagrave $ adfj

9J H jY_ZaringN`PJordmagrave H JUO^ H [WNih^Y s ^curreniquestYZQcO[frac34admacrjiexclNPO^JOQ H Qc[]OYadmacr e macrS]jeWFJ[PJ H aringfcQZUcedil iacute Otilde aacute sup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j $

aacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ uuml times a $ szliglOuml times j frac12sup1a $ j $fcQZUcedil iacute Otilde cent aacute uuml]timesa $ szliglOumlcopytimesdj^QVUKafrac34frac12 j $

O^ Y[Xiacute[Ph H MeJgNtildejfRJLhQsNPO ^eJLhQVUiN H QVUPJSeWFJgO^Oaring ocirc|adOuml times szlig_frac12jumlaacuteyacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ amacrreguumlStimesYa $ szliglOumlcopytimes)j frac12sup1a $ j7 uuml]timesYa $ szliglOumlcopytimes)j^QVUKafrac34frac12sup1a $ jjj $aacute uumlnotraquotimes a $ szliglOuml times szlig_frac12j $ ^QVUKaduuml times frac12j $ ad j

MeJUO NiKKfVmWQcO[ H MJ hJLJUOWVAQRJZ NPOO H MeJL[PhZJZQcO ad jeWNtildeJ5ONPfcfmtimes[Pcent H NPQcOOaring ocirc|adOumlcopytimesszlig_frac12jOcircaacute uuml raquotimes a $ szliglOumlcopytimesUcircszlig_frac12j $ uacutefrac14 5 uuml]timesYafrac34frac12 eacuteAgraveiquestsup1AacuteAtildeAcircj THORN adS]jWMJLhZJ5eacuteAgraveiquestsup1AacuteAtildeAcircyQcY H MeJUacutejOQ H QcOOgraveWNih^ Oe[PhlZaringNPf H [ aelig OumlcopytimesUcirc^MeJ_NtildejfRJLhQcNPO ^eJLhQVUiN H QVUPJQcY(O[ H JU^ ocirc raquo aagravej(QcO H MeJaumlKNiKEgraveJLhNPO^ H MeJaumlYZMNiKEgraveJauml^eJLhQU~N H QVUPJyuuml raquotimes QcY(Oe[ H JU^ frac14 frac14 ^iquest acutemicrosup1cedilFLft not [PhyYQZOslashKfcQsbLQ H mSeWNtildeJ(bM[[]YJ H MeJcopyXiacute[]fcfR[WQcO[_U~NihQsN H QR[]OaeligQcO H MeJKhZ[B[SXaring$ aagravejaacute $ agrave3frac12sup1a $ j^MJiexclKh[[SXZaringNm NPfcYZ[IacutecentEgraveJiexcl^JUPJUfR[PKEgraveJU^WiexclQ H MZaring[PhZJ_[PJUOJLhNPfUiNihQcN H QR[]OYFYjbM NPYaring $ aagravejaacuteAacuteAgravea $ szligYagravejWQ H MAcircAgrave`NOslashYYZOslash[B[ H MXiacutejOb H QR[]ONPO^AcircAgravea szligYagravejcentQ ~5JUb H QVUPJS^

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ ffrac12OcircacuteIshyNT AcircE J(MNUPJ H [Otildebn[]ZOslashK-j H J H MJNtilde^QEgraveJLhZJUO HH JLhZaringY9[SXQa macr]j9QsOauml[Ph^eJLh H [Uacute[Pcent H NPQcO H MeJ

JUP[]fcj H QR[]OJBjN H QR[]O[SX H MeJ NPb H QUPJ bn[]O H []jehX[Ph H MeJ ^JUYZbnhQRK H [PhdYaumlcentNPYJU^Oacute[]OH MeJ(bn[U~NihQsNPObnJ ZaringN H hQVktimes^eJ H JLhlZ QcONPO H a2Ograveh]j^OgraveMeJ(bn[]ZOslashKj H N H QR[]OaringQcYampKEgraveJLhYXiacute[PhlZOslashJU^Xiacute[Ph H MeJIacute^eJUYZbnhQRK H [Ph_uuml thorn timesOslash yuml ^ q centUWQR[]jYZfmSeN YZQZ QcfcNihbn[]ZOslashKj H N H QR[]OabLNPOacent=JIacute^e[]OeJXiacute[PhOcircuuml thorn UgraveUcircUacuteUuml yuml ^ JiexclbLNPOaeligJkBKhJUYZYOcircuuml thorn timesOslash yuml NPYyNUacutebn[]ZTcent-QcON H QR[]Oaelig[SXgtXiacutejOb H QR[]OYamp^eJLKEgraveJUO^QcOF[[]O H MJOtildehZJ[]QR[]OwOuml timesOslash aring

uumlgtthorn times Oslash yuml a2atildeltszligaumlgtszligYagravejaacute`Ograveoacute m thorn timesOslash yumlaIgraveagrave thorn timesOslash yumlAtilde j cent ocirc adjWMJLhZJordmaacuteAuml85eWiexclQ H MAring8 H MeJordfXqjOb H Qc[]O QcO H h[B^jbnJU^ QcOpounda2Ograveh]je-NPO^aringm thorn timesOslash yuml aacute agrave thorn timesOslash yuml agrave thorn timesOslash yumlcent agrave thorn timesOslash yuml agrave thorn timesOslash yumlAElig agrave thorn times Oslash yumlCcedil agrave thorn timesOslash yumlEgrave agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlEgrave j cent agrave thorn times Oslash yumlcent aIgraveagrave thorn timesOslash yumlCcedil j cent agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlAElig j centWQ H MOaring EFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFH

agrave thorn timesOslash yuml aacute w$ thorn yuml aOtilde S times Oslash j cent atilde aumlagrave thorn timesOslash yumlcent aacute w$ thorn yuml aOtildeOgravecent Scenttimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yuml aacute w$ thorn yuml aOtildeS Stimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yumlAElig aacute w$ thorn yuml aOtilde S times Oslash jaOtildeOgravecent ScenttimesOslash j atilde aumlagrave thorn timesOslash yumlCcedil aacute w$ thorn yuml aOtilde S times Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlEgrave aacute w$ thorn yuml aOtilde cent S centtimes Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlAtilde aacute w$ thorn yuml atilde auml O^ Y[ H MJordfXiacutejOb H QR[]OY aelig thorn timesOslash yumlauml MNUPJ H MeJgXiacute[]fcfR[WiexclQcO[aeligJkBKhZJUYZYZQR[]OYaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

aelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlcent aacute aOtilde cent S centtimesOslash j centaelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlAElig aacute aOtilde S timesOslash jaOtilde cent S centtimesOslash jaelig thorn times Oslash yumlCcedil aacute aOtilde S timesOslash jaOtilde S timesOslash jaelig thorn times Oslash yumlEgrave aacute aOtildeOgravecent ScenttimesOslash jaOtilde13 StimesOslash jaelig thorn times Oslash yumlAtilde aacutemiddotf

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBnot h[]Z H MeJUYJaumlJkWKhZJUYYZQR[]OYeWFJOtildeJUNPYZQcfm ^eJU^jbnJ H MN H aring

$ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde aumlregaacute sEacutefrac12poundEcirc iuml

J H MeJUO MNUPJ H [Tbn[]ZaringKj H J H MeJ H JLhlZaringY eacute thorn times Oslash yumlauml XiacutehZ[]Z H MeJJkWKhZJUYZYQR[]OYamp[SXagrave thorn timesOslash yumlauml eWMQcbM fRJUNP^Y H [aringEFFFFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFFFFH

eacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideoslash aacute w$ thorn yuml uacute ouml $ordfdivideacirc uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIgrave yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H a timesOslash jjeacute thorn timesOslash yumlcent aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideacirc

aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIcirc yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideEuml aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideacirc thorn thorn uacute ouml $_divideIuml yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yumlAElig aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIuml aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideEuml uacute ouml $ordfdivideIuml thorn uacute ouml $_divideIcirc uacute ouml $ordfdivideIgrave yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlCcedil aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIcirc aacute w$ thorn yuml cent thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideacirc uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlEgrave aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIgrave aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideoslash uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlAtilde aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIacute aacute w$ thorn yuml thorn +ETH ouml $_dividethorn uacute ouml $ordfdivideIacute yuml Iuml 8 raquo aq^J H a timesOslash jj

O^centmJkWKhZJUYZYZQsO[ H MeJbn[UiNihQcNPObnJZaringN H hQVkpoundWQ H M H MJregXqjOb H QR[]OYagrave thorn timesOslash yumlauml NPYXiacute[]fcfR[WQcO[aring

timesOslashlaquoaacute 1NtildeNtildeNtildeNtildeNtildeNtilde3uacute ouml $ordfdivideoslashuacute ouml $ordfdivideIacute uacute ouml $_divideIumluacute ouml $_divideIacute uacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIumluacute ouml $ordfdivideIacute uacute ouml $_divideacircuacute ouml $_divideIacute uacute ouml $ordfdivideIgraveuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacute uacute ouml $_divideIgraveuacute ouml $_divideIacute uacute ouml $ordfdivideEumluacute ouml $ordfdivideIacute

6OgraveOgraveOgraveOgraveOgraveOgrave7 J H MJUO^eJU^jbnJSaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

eacute thorn times Oslash yuml aacute a fj thorn yuml ^eJ H aDC Ptimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlcent aacute a fj thorn centcent yuml ^eJ H aDC centcenttimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yuml aacute a fj thorn curren yuml ^eJ H aDC 4times Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlAElig aacute a fj thorn cent yuml ^eJ H aDC centtimes Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlCcedil aacute a fj thorn curren yuml ^eJ H aDC times Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlEgrave aacute a fj thorn centcurren yuml ^eJ H aDCcent4times Oslash j48 raquo aq^eJ H a timesOslash jjeacute thorn times Oslash yumlAtilde aacute amp^eJ H a timesOslash j48 raquo aq^eJ H a timesOslash jj

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ SWMJLhZJC EBtimesOslash QcY H MeJgZaringN H hdQk ^eJU^jbnJU^Xh[]ZOacutetimesOslasharingcentm YZjeKKhZJUYZYZQcOF[ H MeJyuuml UumlON hZ[WNPO^ H MJ I UumlON bn[]fcjFZaringOO^]MeJbn[]ZOslashKj H N H Qc[]OordmX[Ph H MeJ^eJUYZbnhdQRK H [Ph|uuml thorn UgraveUcircUacuteUuml yuml QcYyYQZaringQcfcNihNPO^WFJ H MeJUOOslashMNUPJNPfcf H MeJ(JkWKhZJUYZYZQc[]OY H [aumlbn[]ZOslashKj H J H MeJJUP[]fcj H QR[]OaeligJjN H QR[]OXiacutehZ[]Z H MeJg[PJUOJLhNPfOXiacute[PhlZIacutejfcNta macr]j^gtMQcYcopy[]QVUPJUY H MeJTJUP[]fcj H QR[]O JBjN H QR[]Osup1admacr s j^

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBΩ out

Objects

Γ

inΩ

inΩ

Background Part

-t not Upv copy ETHEgraveIcircAtildeampAacuteiacuteCcedil=AumlFcedilAtilde5ordm|sup1Aumldraquo~AElig9AumldOgravefrac14raquoUacutesup1Igravefrac14dordm|Atilde

Ω

Ω out (τ)Ω

(τ)in

N

Γ(τ)

Ω

N

v

w

N

-t not Upv ETHEgraveIcircAtildeyEcircAumldIgravefrac14dsup1raquo~AEliggfrac14raquoiEcircAacuteIcircAtilde$AcircnAtilde5AgraveAacuteAumlcedilAEliggsup1raquoUAcircnAumldfrac12AcircnAtildeEcircsup1raquoiexclAacuteIcirc~Atilde$EcircAtildecedilsup1Acirc|frac14ZAacutesup1Aumldraquo

uumlnyacutenthornnyumll13YSordmY_F2ordf

yenKbrvbarsect =4 acirc $ Smacr

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 Atilde|IumligraveAacuteAtildecedil4frac14ZAacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvyzU eacuteWsup1ordm|AringcedilAtilde5AEligfrac14iquest Eacuteiquest AgraveJ]iUumlAcircnAumldfrac12AringAacutesup1Auml|raquoOtildeAumlOgraveeAacuteIcirc~Atildeyfrac14dAgrave Aacutesup1Acirc|Atilde0AgraveAuml|raquoLAacuteAuml|AringcedilIgravefrac14raquoifrac14ordm|AtildeEcircUacuteEacuteLfrac34AacuteIcirc~AtildefTHORN$Uuml v qzqwsup1raquo~Agrave5frac12AringiEcircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquoifrac14frac12ampAacuteAtildecedilIgrave(AElig5IumlgeacuteWsup1ordm|AringcedilAtilde5AEligOtildeEcirc]iquest Atildediquest Ograve] g sup1AEligwAringifrac14frac12sup1Ocirc5frac14Aacutesup1Auml|raquo`AumldOgrave0AacuteIcirc~AtildeTAgrave5AumldcedilwcedilAtilde5AEligwOumlPAumldraquoiEcircsup1raquoordmAcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 OgraveuAring~raquoAgraveAacutesup1Auml|raquosup1raquo~Agrave5frac12Aring~Ecircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquo~frac14dfrac12ampAacuteAtildecedilIgrave(AEligraquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirc EacutePAtildeAacuteiacuteCcedil=Atilde5Atilde5raquo ugrave frac14draquoiEcirc divide JUiquestAEligwAring~Agrave4IcircTAacuteIcirc~frac14Aacute$AacuteIcircAtilderaquo~Atilde5ordm|frac14Aacutesup1AcircnAtildeAcircdfrac14dfrac12AringAtilde5AElig0frac14cedilAtildefrac12AumlCcedilEgraveAtildecedilyAacuteIcirc~frac14draquo uacutedivide Uacutefrac14raquoiEcircaumlAacuteIcirc~AtildeOumlPAumldAEligwsup1Aacutesup1AcircnAtilde(Aumldraquo~Atilde5AEligyfrac14ZcedilAtilde(Icirc~sup1ordm|IcircAtildecedilAacuteIcircifrac14raquo uacuteZdivide Iuml

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

Ecirc]Iumligraveraquo~sup1currenAacutesup1frac14dfrac12BAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 Atilde|IumligraveAacuteAtilde cedil4frac14Aacutesup1Auml|raquo ugravedugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not Upv ucirc eacuteWsup1ordmdAringcedilAtilde5AEligtimesfrac14iquest Eacuteiquest AgraveJ]ampUumlAcirc|Auml|frac12AringAacutesup1Auml|raquoAumlOgrave(AacuteIcirc~Atildearingfrac14AgraveAacutesup1AcircnAtildeOslashAgrave5Auml|raquoLAacuteAumldAringcedilIacuteIgravefrac14draquoifrac14ordm|AtildeEcirc`EacuteUfrac34AacuteIcircAtildeOcircfTHORN$Uumlv q w iquestiexclCcedilgsup1currenAacuteIcirc~AumldAringAacuteAacuteIcirc~Atildefrac14dEcirc~Ecircsup1Aacutesup1Aumldraquoifrac14dfrac12TAacuteAtildecedilIgrave(AElig5IumliexcleacuteWsup1ordm|AringcedilAtildeAElig Ecirc]iquest Atildediquest Ograve] g sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo AumlOgraveaeligAacuteIcirc~AtildeAgraveAumldcedilwcedilAtildeEumlAEligwOumlPAuml|raquo~Ecircsup1raquo~ordm AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 OgraveregAring~raquo~Agrave Aacutesup1AumldraquoeumlCcedilgsup1currenAacuteIcirc~Auml|AringAacuteIacuteAacuteIcircAtilde frac14|Ecirc~Ecircsup1currenAacutesup1Aumldraquoifrac14frac12FAacuteAtildecedilIgrave(AElig v raquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirceumlAEligwAring~Agrave4Icirc AacuteIcirc~frac14AacuteIgravefrac14icirc vOOtilde wpOumldivide z w Iuml

uumlnyacutenthornnyumll13YSordmY_F2

S $amp)(+-)013021+345627893lt=gt9A6CB

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIumligravesAacuteAtildecedil4frac14Aacutesup1Aumldraquogt ugrave|ugrave AgravedIumlieacuteWsup1raquoifrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12Acirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 AtildedIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIumlieacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvtimesLg sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo(AumldOgravePAacuteIcirc~AtildeAtildeAcircnAuml|frac12AringAacutesup1AumldraquoAumldOgravePAacuteIcircAtildeEgraveAgrave5Auml|raquoLAacuteAumldAringcedil-frac14draquo~EcircNtildeAacuteIcirc~AtildeEgraveAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 v Ccedilgsup1AacuteIcircAuml|AringAacuteAacuteIcircAtildeEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircFAacuteAtilde cedilIgrave w OgraveregAumldcedilEgraveAacuteIcircAtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoAumlOgraveAacuteIcircAtilde9Ograveufrac14dAgrave5AtildeAring~AEligwsup1raquo~ordmyAacuteIcirc~Atilde9Agrave5AumlZAcirc|frac14Zcedilsup1frac14draquo~AgraveAtildeIgravefrac14Aacutewcedilsup1currenicirc]Iuml

frac14Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcircnAtilde EacuteIumligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 v AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde w Agrave|Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacutefrac34 v Acircdfrac14cedilsup1frac14draquoAgrave5Atilde w-t not Upv h=AumldIgrave(Oumlifrac14cedilsup1AEligwAumldraquoOtildeAumldOgraveAacuteIcirc~Atilde$sup1raquo~sup1currenAacutesup1frac14dfrac12eAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34iexclAgrave5Auml|Igrave(OumlAringAacuteAtildeEcircAringAEligwsup1raquo~ordmAacuteIcirc~Atilde$AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde0Igravefrac14Aacutewcedilsup1currenicircv iordmdAringcedilAtildeFEacute w AacuteAumliexclAacuteIcircAtildeAuml|raquoAtildeFAgrave5AumldIgrave(Ouml~AringAacuteAtildeEcircTAringAEligwsup1raquo~ordmiexclAacuteIcircAtildeFAcircdfrac14cedilsup1frac14draquoAgrave5Atilde v ~ordm|AringcedilAtildeFAgrave w OgraveregcedilAumldIgrave AacuteIcirc~AtildeNtildeAEligfrac14dIgrave(Atildesup1raquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcirc|Atilde v iordmdAringcedilAtilde$frac14 w Iuml

uumlnyacutenthornnyumll13YSordmY_F2_a

yenKbrvbarsect =4 acirc $ ]z

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv Oslash| THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5AtildeccediliacuteAtildecedilsup1UgraveUegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_o

Si $amp)(+-)013021+345627893lt=gt9A6CB

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv ordf THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5Atildeccedilqfrac14dUgraveUsup1currenfrac34LAumldegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_y

RR-0114-SJEHANpdf
  • wwwi3sunicefr
    • httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf
Page 30: LABORATOIRE INFORMATIQUE, SIGNAUX ET SYSTEMES DE …mh/RR/2001/liste-2001.pdf · 2002. 6. 27. · [Dir01] DIRAT L. “Outils pour des Mathématiques Interactives et Distribuées”

s $amp)(+-)013021+345627893lt=gt9A6CBbn[]ZaringQsO[ Xh[]Z H MeJpoundXqNPb HH MN H`H MeJYZQV[]OeJU^ ^QcY H NPObnJumlXqjOb H Qc[]O l QcYaOe[ H NY[]fsj H QR[]O[SX H MeJyiexcl a2 jeEgraveYJLJa []ZOslashJUYNPO^ not NPjF[PJLhNPYe sSsSs jyacuteXiacute[Phiexcl^J H NPQcfcY^5Oaelig[]jehWF[PhY`gte H MJuXiacutejOb H QR[]O l QcYamphZJUQsOQ H QcNPfcQcurrenLJU^TY[ H MN H Q H hZJZaringNPQcOYampNOtilde^QsY H NPObnJXqjOb H QR[]OenYZJLJ5aq jecentEgraveJLh H NPO^gcOtilde[PhdOeKhZ[PcentY H e sSs fJLcenthZJUjFUPJSe sSsSs jOXiacute[Ph^J H NPQcfcY[]O H MJOtildehZJUQcOQ H QsNPfcQVcurrenUN H QR[]O JBjN H QR[]OO^5Oeuml[Ph^eJLh H [QCZOslashKhZ[UPJaringOjFZaringJLhQcbLNPfJltz bLQRJUObmSeOWFJaringbn[]ZOslashKj H J H MeJOslashJjN H QR[]O[]O NIacuteONihhZ[Wcent-NPO^aringJUObLfc[]YZQcO[ H MJiexclfRJUPJUf s [SX H MeJUacutefRJUPJUf-YJ H XqjOb H Qc[]OO^ JUacuteNPfcY[jYZJZtimesjf H QRhZJUYZ[]fcj H QR[]O H JUbdMOQBjeJUYcentmZaringN`BQsO[ H MeJFNPb H QVUPJ(bn[]O H []jh$JUP[]fVUPJcopyhY H[]ONOslashfc[W hZJUYZ[]fcj H QR[]O QZ N[PJS^FMeJordfONPfbn[]O H []jeh[Pcent H NPQcOeJU^Xiacute[Ph H MQcYhJU^jbnJU^QZ N[PJaumlQcY H MeJUOjYJU^ NPYNPOQsOQ H QcNPfEgravebLjehYUPJordfXiacute[Ph H MJOtildehZJUNPfgYZQVcurrenLJaumlQCZaringN[PJS^

EparaacuteAgravegtmicrosup1acuteIKJcedilJT2MgtI MraquowMgtmicrosup1MAgravegtacuteIltacuteMgtPltAtilde iquest acuteAgravegtT2MKIshyAtildeAcirccedilAtildeacuteNicircMgtI cedilAEligMgtmicroOcircacuteOgraveJTCJT13MKI sup2OcircacuteJordfsacuteacuteI Jfrac14ltacutegcedilFLT2cedilIshyROgraveacuteAtilderaquoAMLBqoLacute13AtildeR]cedilsup32acute GmicrobcedilAgraveacuteAtilde5O H MQcYUacuteYJUb H QR[]OOeOWFJOslashKhZ[PKEgrave[]YJaeligY[]ZOslashJOslashhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQRK H [PhY H [YJ[iVZOslashJUO H M[]ZOslash[S[PJUOeJL[]jYiexclhZJ[]QR[]OYiexcl[]Ofrac34[PhZJmBYbLNPfRJIacuteQZ N[PJUY^gtMJUYJIacute^eJUYbnhQRK H [PhYiexclNihZJcentNPYZJU^[]O H MJZaringQcOQZaringQVcurrenUN H QR[]O [SX H MeJU~NihdQcNPObnJUYauml[SX H MJ H WF[`bn[]OYZQc^eJLhZJU^OacutehZJnV[]QR[]OY^ 5O H MJ7YJUbn[]O^ K-Nih H e H MJQZOslashKEgrave[Ph H NPObnJOacute[SX H MeJNP^^Q H QR[]ONPf H JLhZaringYebn[]ZaringQsO[XiacutehZ[]Z H MeJiexclU~NihdQcN H QR[]O [SX H MeJUacute^eJUYZbnhQcK H [PhYWQ H M H MeJiexclJUP[]fUBQcOF[IacutehZJ[]Qc[]OYeQcY9MQV[]MfcQ[]M H JU^O^ G QCZOslashKfRJJkWNSZaringKfRJUY9YMe[W H MeJ0QZOslashKEgrave[Ph H NPObnJ$[SX H MeJUYJ0NP^^Q H QR[]ONPfH JLhlZ Y H [ NPbMQRJUPJ H MeJOtildeJkWKEgraveJUb H JU^aYJ[]ZaringJUO H N H QR[]O^^f^laquoIgraveIcirc=KEgrave(FETHOEacuteltEgraveIcircEcircgtNtildeltIcircIgrave8 EacuteshyOacute ETH9Igravek+NtildeshyEgrave13NtildeshyOacute=KIgraveC0EacuteshyEgraveh4ltEgraveOIgravesup1QIcirc=NtildeltEumlOgraveIgrave2Iacute Ntilde4ltIgraveIcircMJQcO H JUOYZQ H mregXiacute[Phu[PhZJmWYZbLNPfRJaumlQZ N[PJUY(QcYhZJLKhZJUYZJUO H JU^centm NlaquoXqjOb H QR[]OOtilderegaringOgraveOumlOtilde 13ordfcentwntilde Otilde 13laquo^ JaKhZ[PKEgrave[]YJ H [bZaringQcOQZaringQVcurrenLJ H MeJU~NihdQcNPObnJUYOslash[SX H MeJ H WF[bn[]OYZQc^WVJLhZJU^ Me[]Zaring[S[PJUOeJL[]jY hZJ[]Qc[]OY QcO [Ph^eJLh H [YJ[]ZOslashJUO H H MeJZ^uMJXiacute[]fcfR[WQcO[^eJUYbnhQRK H [PhY(NihJaumlYZj[S[PJUY H JU^OaringEFG FH uuml thorn UgraveUacuteUuml yuml aacutecntildeaLuOcentUgraveUacuteUuml juuml thorn times Oslash yuml aacutecntildeaLuOcenttimes Oslash juuml thorn otilde)yuml aacutecb a2Ograve]jWMJLhZJjntildea]jQcYNOslashKEgrave[]YZQ H QVUPJordfXiacutejOb H QR[]O [SX$bLfcNPYZYEacuteograve aOtilde 13yj(NPO^kb`NOslashKEgrave[]YZQ H QUPJaumlbn[]OWVY H NPO H ^MJTbn[]ZOslashKj H N H Qc[]O[SX H MeJUPJUfR[BbLQ H mUPJUb H [PhaumlQcY^JU^jbnJU^tXiacutehZ[]Z H MeJIacutebn[]ZOslashK-j H N~VH QR[]O`[SX H MeJaelig^eJLhQVUiN H QVUPJIacute[SX H MeJtimesbnhdQ H JLhQR[]Opoundocirc7^eJUPJUfR[PKEgraveJU^ QcO G JUb^^ macr^feWMQsbMfRJUNP^Y H [ H MeJgXiacute[]fcfR[WQcO[aeligJUP[]fcj H Qc[]O JjN H QR[]OOaringaelig Yacuteaagravejaelig agrave aacuteethntildeaLu centtimesOslash j ntildeaLu centUgraveUcircUacuteUuml jb ntilderaquo)aLu centtimesOslash jaaOtilde S timesOslash j cent u centtimesOslash j ntilde raquo aLu centUgraveUcircUacuteUuml jaaOtilde SUgraveUcircUacuteUumlj cent u centUgraveUacuteUuml jIcirc13eacute a2Sj

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ fMJiexclYZQcOF[]fRJiexclK-NihNSZOslashJ H JLhcopyWNtildeJOtildeOeJLJU^ H [aringNP^~ZjY H QcY H MeJUacuteYYZOslash[B[ H MQcO[timesKNihNSZOslashJ H JLhb^5OregXqNPb H e H MeJ X [W ethb MNPY H MeJiexclKhZ[PKEgraveJLh H QRJUYNtilde[SXYYZOslash[B[ H MQcOF[IacutecentEgraveJUbLNPjYJOtildeQ H ZOslash[UPJUYH MeJUacutebLjehYUPJUacuteQcO H MeJUacute^QRhZJUb H QR[]O [SX9Q H YfRJUOF[ H MregXqjOb H QR[]ONPfQa G Qs^^QBQeJ H NPfd^VeOfhShS]j^^ ^~IacuteEacuteltEgraveETHOgraveNtildeltOacute=KIgravefrac34Eacute10frac34ETH9Igrave Ntilde8182ETHEacuteshyOacuteNtildeshyEumlETHIgraveFEgraveOIacute5Icirc5O[Ph^JLh H [7JU~NPfcjN H J H MeJ QZOslashKEgrave[Ph H NPObnJ`[SX H MeJ`NP^^Q H QR[]ONPf H JLhlZaringYX[Ph H MeJYJ[]ZaringJUO H N H QR[]OeuWNtildeJpoundZaringN`PJ H MJeumlNPb H QUPJbn[]O H []jehaJUP[]fVUPJ H MehZ[]j[]M H MJ iexcla2SjeQsObLfcj^QsO[ H MeJaumlNP^^Q H QR[]ONPf H JLhlZaringY^ q O H MeJUacute[ H MeJLhMNPO^OeWNtildeJaumlNPfcYZ[ZaringN`PJQ H JUP[]fUPJfrac34WQ H M H MeJwXiacute[]fcfR[WQcO[ WhZ[]OF[JUP[]fcj H QR[]OJjN H Qc[]O H MN H ^e[JUY Oe[ HQcObLfcj^eJ H MeJaumlNP^^Q H QR[]ONPf H JLhlZaringYaringaelig Yacuteaagravejaelig agrave aacuteethntildeaLu centtimesOslash j ntildeaLu centUgraveUcircUacuteUuml j`b Qeacute iuml a2Ogravemacr]jnot [Ph H MeJOtildeJkWKEgraveJLhQZOslashJUO H YeWFJ H N`PJntildeaOgravejOcircaacute ILK KafcediliexclOgravejWMQsbM[]QVUPJUYntilde raquo aOgravejaacutefdOafcedil]j(NPO^ H MeJgUiNPfcjeJOtilde[SX H MeJaumlKNihdNSZOslashJ H JLhEacutebaQcY(YJ HH [frac34f s ^OcirckBKEgraveJLhQCZOslashJUO H Y NihZJ KEgraveJLhYX[PhZOslashJU^ []O NYmWO H MJ H Qcb`QCZaringN[PJumlZaringNP^eJeumljeK [SXTNPO

Me[]Zaring[S[PJUOeJL[]jYYYBjNihZJ[SX9QcO H JUOYZQ H mwf s []O NIacutecentNPbl`[PhZ[]jO^ [SX9QcO H JUOYZQ H mtf s ^ []NPjYZYZQsNPOOe[]QcYJUacute[SXUiNihQcNPObnJ s QcY(NP^^eJU^ H [ H MQcY(YmWO H MJ H QcbOtildeQZaringN[PJS^MeJOtildeJUP[]fcj H QR[]Oa[SX H MeJTNPb H QVUPJtimesbn[]O H []jehUacute^ehQUPJUOcentmpounda2SjQcYu[]QVUPJUO`QcO not QV[^ WMQcfRJ H MeJ[]OeJ`[Pcent H NPQcOeJU^ jYZQcO[ a2Ogravemacr]j QcYordm[]QUPJUO QcO not QV[^ ^ J bLNPO hZJZaringNihY`H MN H WMeJUO H MeJoiexclQsObLfcj^eJUY H MJ NP^^Q H QR[]ONPf H JLhZaringYe H MJ YYBjNihZJ QcYgWFJUfcfYJ[]ZaringJUO H JU^acirca not QV[^ ^bjeuWMeJLhJUNPYWiexclMeJUO H MeJ |iexclD^e[BJUY Oe[ H QsObLfcj^eJ H MeJUYJNP^^Q H QR[]ONPf H JLhZaringYwWFJ7[Pcent H NPQcO N bLQRhbLfcJOacuteQcOY H JUNP^ [SX H MeJ7JkBKEgraveJUb H JU^YYBjNihZJa not QV[^ ^bj^MeJUYJhZJUYZjf H YNtildebLNPOcentEgraveJcentEgraveJ HH JLh(jO^eJLhY H [[W^WMQcfRJNPONPfmcurrenUQcOF[ H MeJiexclUPJUfR[WbLQ H mUPJUb H [PhYUacute[SXNtildeJUNPbMJUP[]fsj H QR[]O JjN H QR[]OO^ Jaringbn[]ZOslashKNihZJ H MeJ H WF[ JUP[]fcj H QR[]OYiexcl[SXH MeJlaquoUPJUfR[WbLQ H mwUPJUb H [PhYauml^jehQcO[ H MeJaeligKhZ[PKN[]N H Qc[]Oeuml[SX H MeJOslashbLjehYUPJwa2WiexclQ H Me[]j HH MeJcentEgrave[]jO^NihYmVcent-NPYJU^ H JLhlZb j^MeJ(JUP[]fcj H Qc[]OOslash[SX H MeJNSZOslashKfsQ H j^eJ[SX H MeJyacuteUPJUfR[Wb|VQ H mregUPJUb H [Ph[SXQ|iexcla2SjFQsY[]QUPJUO QcO not Q[aqYj^ ^ ^OecurrenJSe Xfrac34]eWMQsfRJ H MeJOtildeNSZOslashK-fcQ H j^eJ[SX H MeJUPJUfR[WbLQ H mwUPJUb H [PhOtilde[SX||iexclacirca2Ogravemacr]jiexclQcY []QUPJUO`QcO not QV[aqYj^ ^ ^OecurrenJSe Xfrac34]^ JOslashbLNPO[PcentYZJLhYUPJ H MN HaringH MeJUPJUfc[BbLQ H msup1WiexclQ H Me[]j HaeligH MeJNP^^Q H QR[]ONPf H JLhlZaringY QcYaeligNbn[]OY H NPO HWMJLhZJ [PcentUWQR[]jYfVm H MJaQZaringN[PJfrac34XJUN H jehJUY ^e[OacuteO[ H NiKKEgraveJUNih^ q O H MeJabn[]O H hNihYmH MeJaumlQCZaringN[PJordfXJUN H jhZJUYuWFJUfcfNiKKEgraveJUNihQcO H MeJordfUPJUfR[WbLQ H m QcObLfcj^QcOF[ H MeJaumlNP^^Q H QR[]ONPfH JLhlZ Yya not QV[aqYj^ ^ ^OecurrenJSe Xfrac34jiexclNPO^ Y[ H MeJaumlYljNihJTbLNPO centEgraveJordfWNtildeJUfsfYJ[]ZOslashJUO H JU^O^MeJyKhZJUWQR[]jYEgravehJUYZjf H YgYMe[W H MN H Q H QcY[SXeKhQCZOslashJ$OeJUbnJUYZYZQ H m H [ H N`PJQcO H [NPb|Vbn[]jO H0H MJNP^^Q H QR[]ONPf H JLhZaringYeWbn[]ZaringQcO[XhZ[]Z hZJ[]QR[]OeV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhYeQcO[Phd^eJLh H [ hZJUNPbdMaN H hdjeJgZaringQcOQCZIacutejFZ [SX H MeJaumlbnhQ H JLhdQR[]OO^

uumlnyacutenthornnyumll13YSordmY_F

S $amp)(+-)013021+345627893lt=gt9A6CBEIumlparaacuteAgravegtmicrosup1acuteIKJcedilJT2MgtI MraquoordfAEligMgtsup32MLwMKmicrobMgtAgraveacuteIshyacuteMgtPltAtilde iquest acuteAgraveKT13MKIshyAtildeAcirclaquocedilFAtildeacuteNicircMKIJfrac14ltacutepoundAEligMAringcedilFLT2cedilIltR]acuteHcedilJLTOcircfrac12sup3T13ROgravecedilJT2MgtI JMAgraverltcedilFR]acuteacuteJacuteR]JT2MgtIicircT2ItT2NQacuteM paraacutePshyacuteIltR]acuteAtildeMQcY0K-Nih H ^eJUNPfcYWQ H M H MeJOtildeYJ[]ZOslashJUO H N H QR[]O [SXMe[]ZOslash[S[PJUOeJL[]jY(hZJ[]QR[]OYQcOZtimesjfuVH QcYZK=JUb H hdNPfQZaringN[PJUY^ YNPOaJkWNSZaringKfRJSeWFJIacuteYZMe[W H MN HiexclH MeJTbn[UiNihQcNPObnJZaringN H hQVkbLNPOacent=JIacuteNUPJLhYm KEgrave[WFJLhYXqjf H [B[]f H [ YJ[]ZOslashJUO H Me[]Zaring[S[PJUOeJL[]jYbn[]fR[PhiexclhJ[]QR[]OY^F5OXqNPb H e H MeJtimes^eJ H JLhlZaringQsONPO H [SX H MeJTbn[U~NihQsNPObnJZ N H hQkKhZ[UPJUY H [ centEgraveJIacuteNaringhJUfRJU~NPO Hbn[]fR[PhaelighZJ[]Qc[]O7M[]ZOslash[S[PJUOeJUQ H msup1ZOslashJUNPYZjhZJZOslashJUO H a G NPO[SWQcOeJ NPO^r[PhdOeJSeufhShSi]j^_`QcOQZ QVcurrenUQcO[ H MQcYjNPO H Q H m ZOslashJUNPOY H MN H WFJwWNPO HH [^eJUbnhZJUNPYJ H MeJeumlbn[]ZaeligVKfcJkWQ H m[SXUacuteNeumlhZJ[]QR[]Oa hdNmJ H NPfd^Ve sSs fampN H JUjke sSsSs j^MQcY H [B[]fuZaringNmKhdNPb H QcbLNPfcfVm cent=JaumljYJU^X[Ph XiacuteNPbnJtimes^eJ H JUb H QR[]OaQsO QZaringN[PJaumlYJBjeJUObnJUY^macr^f^laquoIgraveIcirc=KEgrave(FETHOEacuteltEgraveIcircEcircgtNtildeltIcircIgrave8 EacuteshyOacute ETH9IgraveAgrave=Eacute3+NtildeshyEgrave13NtildeshyOacute=KIgravefrac34Iacute_NtildeFETHEgraveEcirc20EacuteshyEgrave=EacuteshyEumlEacuteshyEgrave2Iacute Ntilde4ltIgraveIcircMJQcO H JUOYZQ H mxXiacute[Ph bn[]fR[Ph QCZaringN[PJUYaringQcYOslashhJLKhZJUYJUO H JU^centm7NpoundXiacutejOb H QR[]OOtildeegravearingOumlOtilde 13ordfcent ntilde Otilde 13 WMeJLhZJ Otilde aacute Otilde szligYOtildeOgravecentszligYOtilde13ordf ^iexclXm NPONPfR[S[SmAumlWQ H M H MeJOacuteY H j^Fm Xiacute[Ph[PhZJmWYZbLNPfRJFQZaringN[PJUYeWNtildeJZaringQcOQCZaringQVcurrenLJ H MeJNtilde^J H JLhlZaringQcONPO H [SX H MeJFbn[UiNihQcNPObnJcopyZaringN H hQVk[SX H MeJTbn[]OYQc^eJLhZJU^hZJ[]Qc[]OY^ J5ZaringNmaringNPYYZjFZOslashJ H MN H JUNPbdM bn[]fR[PhFhZJ[]QR[]Oacute13 QsYOcircZOslash[W^eJUfcfRJU^OslashcentmOslashNg[]NPjYYZQcNPO^QsY H hQRcentj H QR[]Oeuml[SXyacuteZOslashJUNPOiexclSegraveaacute S szligPS cent szligPS NPO^7bn[UiNihQcNPObnJZ N H hQk5^MeJKh[PcentNicentQcfcQ H maring^eJUOYQ H moXiacutejOb H QR[]O QcYu[]QUPJUO centm H MeJgXiacute[]fcfR[WQcO[aeligJkWKhZJUYZYQR[]OOaring

$ampamp aOtildejOcircaacute fa )( j +cent aq^J H ayacutejj cent JkWK- f aOtilde Sltj thorn aOtilde Sltj a2Ograve]jG [eZaringQcOQZaringQVcurrenUQcOF[ H MJbn[U~NihdQcNPObnJuZaringN H hQktimes^eJ H JLhlZaringQcONPO H [SX-NPOtimesJUP[]fVUWQcO[hJ[]QR[]ONiKKEgraveJUNihY H [OslashcentEgraveJNtimeshZJUfcJU~NPO HH [[]f H [ordmZaringN`PJ H MQcYFhZJ[]Qc[]O bn[]OUPJLhY[PJ H [WFNih^Y H MeJbLfR[]YZJUY H Me[]ZOslash[S[PJUOeJL[]jYbn[]fR[PhiexclhZJ[]QR[]OO^9J H jY$Oe[ H J timesOslash NPO^0copyUgraveUcircUacuteUuml H MJbn[UiNihQcNPObnJ5ZaringN H hQcbnJUYy[SX=hJUYKEgraveJUb H QVUPJUfVmordmOuml timesOslash aagravejNPO^tOuml UgraveUacuteUuml aagravejaring

atilde aacute213 u Patilde u centatilde u atildeu cent atilde u centcentatilde u cent4atildeu5 atilde u5centatilde u54atilde67 a2zSj

WMJLhZJSaringEFFG FFH u times aumlatilde aacute iacutefaring w aring thorn yuml aOtilde times S times atilde jaOtilde auml S auml atilde j atilde aumlS times atilde aacute iacutefaring w aring thorn yuml Otilde times a2atildeltszligaumlj atilde auml WQ H M aacuteiVIgraveOacute[Ph Kf5

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ J [PcentUWQR[]jYZfm`MNUPJacuteu times aumlatilde aacuteu auml timesatilde ^shy9J H jYaumlO[ H J ^eJ H a atilde j H MJ ^eJ H JLhlZaringQsONPO H [SXH MeJaumlbn[U~NihdQcNPObnJZ N H hQkWiexclMQcbMJkBKhJUYZYZQR[]O QcY H MJgX[]fsfR[WQsO[aring

^eJ H a atilde jumlaacute u Patilde u centcentatilde u 4atilde u centatilde u atilde u cent4atilde u Patilde u cent4atilde u cent4atilde u centcentatilde u atilde u atilde u 4atilde u centatilde u centatilde a2Ogravei]jnot jOb H QR[]OY [SX H MeJeumlbn[UiNihQcNPObnJpoundZaringN H hQk ^eJ H JLhZaringQcONPO H YNihZJ jYJU^ NPY hJ[]QR[]O^eJUYbnhQRK H [PhY^ JIacutebMe[B[]YJ H MJordfX[]fcfc[WQcOF[aeligYZJ H [SX$^eJUYZbnhQRK H [PhYaringEFG FH uuml thorn UgraveUcircUacuteUuml yuml aacute98ordfaq^eJ H acopyUgraveUcircUacuteUumlAjjuuml thorn timesOslash yuml aacute98ordfaq^eJ H a timesOslash jjuuml thorn otilde)yuml aacuteOslashb a2Ograveh]jWMJLhZJ8ordfaOgravejFQcYNOslashKEgrave[]YZQ H QVUPJiexclXiacutejOb H QR[]O [SXampbLfcNPYZYograve aOtilde 13yjFNPO^Cb`NOslashKEgrave[]YZQ H QVUPJOtildebn[]OWVY H NPO H ^gJ H jYNtildeOe[W WhQ H J H MeJJUP[]fcj H Qc[]OaringJBjN H QR[]O [SX H MeJiexclNPb H QUPJbn[]O H []jehcentmbn[]ZOslashK-j H QcO[ H MJIacute^QEgraveJLhZJUO HH JLhlZaringYiexcl[SX_a j^J H NPQcfcYiexcl[SX H MeJIacutebn[]ZaringKj H N H QR[]O bLNPOcentEgraveJgXiacute[]jO^QsOaNiKKEgraveJUO^QVk X5^gtMJaumlJUP[]fcj H QR[]O`JBjN H QR[]O[SX H MJIacuteNPb H QVUPJaeligbn[]O H []jhQcY H MJgX[]fsfR[WQsO[aringaelig Yacuteaagravejaelig agrave aacute8gaq^eJ H atimesOslashjj 8ordfaq^eJ H a UgraveUcircUacuteUuml jj`b admacr s jlt8Icircraquodaq^eJ H a times Oslash jgt= ccedil A B egrave aOtilde S timesOslash jaOtilde B5 S BtimesOslash jB^eJ H aDC EBtimesOslash ja fj BGFH amp^eJ H atimesOslashj48 raquo aq^eJ H atimesOslashjj 8Icircraquodaq^eJ H a UgraveUacuteUuml jgt= ccedil I B egrave aOtilde Eacute S UgraveUcircUacuteUuml jaOtilde B S BUgraveUcircUacuteUuml jB^eJ H aDC JBUgraveUacuteUuml ja fj BKFH amp^eJ H a UgraveUcircUacuteUuml j48 raquo aq^eJ H a UgraveUcircUacuteUuml jjcedil13eacuteMJZaringN H hdQkLC JBatilde QsY ^JU^jbnJU^icircXh[]Z H MJeumlbn[U~NihdQcNPObnJbZaringN H hdQkM atilde centm YZjeKeVKhJUYZYZQcO[ H MeJ uuml UumlON hZ[WENPO^ H MeJ I UumlON bn[]fcjFZaringO^MeJeumlfcNPY H Xiacute[]jeh fsQcOeJUY [SX H MeJJBjN H QR[]ONihZJ H MeJOtildeNP^^Q H QR[]ONPf H JLhZaringY(bn[]ZaringQcO[XiacutehZ[]Z H MeJiexclU~NihQsN H QR[]O [SX H MeJOtilde^eJnVYZbnhdQRK H [PhYWiexclQ H Mordmagrave^ Y0Q H MNPYycentEgraveJLJUOOslashKhJUBQR[]jYZfVmTKhZ[UPJU^X[Ph[PhZJmWYZbLNPfRJiexclQCZaringN[PJUYeH MeJUYZJ H JLhlZaringYMNUPJ H [ cent=Jaumlbn[]OYZQc^eJLhZJU^ QsO[Ph^eJLh H [regZ N`PJ H MeJTNPb H QUPJTbn[]O H []jhbn[]OUPJLhY[PJ H [WFNihd^YNZ QcOQZtimesjFZ [SX H MJTbnhQ H JLhQc[]OO^macr^ ^~THORNUgrave2FIgraveFEgrave2Iacute_IgraveFOacuteshyETHOgraveNtildeshyEumlEgraveOIgraveIcircdEumlETHOIcircnot [Ph H MJ JkWKEgraveJLhQZOslashJUO H YeQWNtildeJ H N`PJCntildea]jordmaacute ILK Kaf[]jgWMQsbMsup1[]QVUPJUYnntilde raquo aOgravejaacutefdOafWOgravej(NPO^8ordfaOgravejaacute ILK KafIcirch cent juWMQcbdMt[]QVUPJUY8 raquo aOgravejaacute ETHOafIcirch cent j^ JbdMe[[]YZJ bbaacute f s ^QMeJaringbn[]fR[PhtimesYKNPbnJ YJUfcJUb H JU^QcYaQPszlig l szligicirclaquojeltWMeJLhZJwaOtilde aacuteRPordmjhZJLKhZJUYJUO H Y H MeJfsjFZaringQcONPObnJNPO^waOtildeOgravecent5aacute l j$NPO^frac34aOtildeS aacuteOslashicircj$hZJLKhZJUYJUO HyH MeJ H WF[bdMehZ[]ZaringQcONPObnJUY^ not [Ph H MeJbn[]ZaringKj H N H QR[]OOslash[SX H MeJuUiNihQcNPObnJSei[]Ofm H MeJfcjZaringQcONPObnJQcY(jYJU^O^

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CB5Oaring[Phd^eJLh H [aeligYJ[]ZOslashJUO H NPO Me[]ZOslash[S[PJUOJL[]jY0hJ[]QR[]OOeOgraveWFJiexclY H Nih H WQ H M NPO QcOQ H QcNPf

bLjehlUPJ0QcOYZQs^eJ H MJ0hZJ[]QR[]Oauml[SXWQsO H JLhZJUY H ^MeJybLjhYUPJ0QcY H MJUOTYZjeKK=[]YZJU^ H [JkWKNPO^jO H Qcf(Q H hJUNPbMeJUY H MeJ centEgrave[]jO^NihlmOacute[SX H MeJabn[]ObnJLhdOeJU^ Me[]Zaring[S[PJUOeJL[]jYaringhJ[]QR[]OO^MJtimesbLjehlUPJtimes^e[BJUYUacuteOe[ H [P[cent=JmP[]O^ H MJUYJaeligcent=[]jO^NihQRJUYiexclYZQcObnJSe=[UPJLh H MeJLhZJSe H MeJbnhQ H JLhQR[]OOacuteQsObnhZJUNPYJUYtimescentEgraveJUbLNPjYJ H MeJU~NihdQcNPObnJOcircu centtimesOslash [Ph H MeJ bn[U~NihdQcNPObnJtZaringN H hQVk^eJ H JLhZaringQcONPO H ^eJ H atimesOslashjUcirccentOtildeQsObnhZJUNPYJS^MeJaringNPfV[P[PhQ H MZEcentNPYJU^[]O H MeJ bn[UiNihQcNPObnJZaringN H hQVkeumlQcYaumlK=JLhlX[PhlZaringJU^euml[]ONPOQZ N[PJ [SX H MeJUBQs^eJL[`YJBjeJUObnJrnN`WQVmP[]peumlQcO[Ph^JLh H [euml^eJ H JUb HaeligH MeJYKEgraveJUN`PJLhUTYXqNPbnJS^gtMJaumlJUP[]fcj H QR[]O[SX H MJIacutebLjehYUPJIacuteQcYu[]QVUPJUO QcO not QV[^ macr^gtMeJTbn[]O H []jehiexclJUP[]fUPJUYH [ONPfcfVmbn[]OUPJLhY[PJaelig[]O H MeJIacutecent=[]jO^NihQRJUY[SX H MJyXqNPbnJa not QV[^ macr^bj^OMeJyXiacuteNPbnJaeligQcYH MeJUONPbLbLjehdN H JUfVm YZJ[]ZOslashJUO H JU^^FMeJUacuteNSZOslashKfcQ H j^eJ[SX H MeJiexclUPJUfR[BbLQ H m QsYFNPfsY[laquo[]QVUPJUOQcO not QV[aqYj^ macr^ ^OecurrenJSe Xfrac34jNPO^WNtildeJUacutebLNPO [PcentYJLhYUPJ H MN HFH MeJ5XiacuteNPbnJUacutehZJ[]QR[]O QcYUPJLhYmWFJUfcf^eJUfsQZaringQ H JU^regXhZ[]Z H MJ[ H MJLhhZJ[]QR[]OY^MJ5UPJUfc[BbLQ H m[]QUPJUO QcO not QV[aqYj^ macr^ ^OecurrenJSe XQcObLfcj^eJUY H MeJNP^^Q H Qc[]ONPf H JLhlZaringYFbn[]ZaringQcOF[yXiacutehZ[]Z H MeJ5UiNihQcN H QR[]O [SX H MeJiexcl^eJUYbnhQRKeVH [PhY5WQ H Magrave`centj H ^e[BJUYOtildeOe[ H QcObLfcj^eJ H MeJaeligcentEgrave[]jO^NihlmVcentNPYZJU^ H JLhlZ WMQcbMeumlQcYUacuteNYYZaring[[ H MQsO[ H JLhlZ^KMeJtimesNSZOslashKfcQ H j^eJOtilde[SX H MeJyUPJUfc[BbLQ H maQcYiexclOe[PhlZaringNPfcQcurrenLJU^ centEgraveJ H WFJLJUOs NPO^ macrSmacre$YZjbdM H MN HTH MeJ OeJ[]N H QVUPJoU~NPfcjJUYIacuteNihZJ fR[WFJLh H MNPO f i`NPO^ H MeJKEgrave[]YZQ H QUPJ[]OJUYNihZJTMQ[]MeJLh H MNPOpoundf i^ J bLNPObn[]ZaringKNihZJ H MJ QcOQ H QsNPfUPJUfR[BbLQ H m[Pcent H NPQcOJU^jYZQcOF[ H MeJ bn[U~NihQsNPObnJZaringN H hdQk admacr s juWQ H M H MeJOtilde[]OeJOtilde[Pcent H NPQcOeJU^jYQcO[ H MeJordfUiNihQcNPObnJrega2Sj^KMeJordfXqNPbnJTQcYOe[ H WNtildeJUfsf9^eJ H JUb H JU^QcO H MeJUPJUfR[BbLQ H m[Pcent H NPQsOeJU^ajYQcO[ H MeJUiNihQcNPObnJa not Q[^ ^bjWMJLhZJUNPYIacuteQ H QcYIacutehZJUNPfcfmumlWNtildeJUfcfF^eJ H JUb H JU^QsO H MeJQcOQ H QcNPfUPJUfR[WbLQ H m7jYZQcOF[ H MeJbn[iVUiNihQcNPObnJpoundZ N H hQk a not QV[^ ^currencentj^_MeJ UPJUfR[WbLQ H m [Pcent H NPQcOeJU^ jYZQsO[ H MeJumlU~NihdQcNPObnJ^e[BJUYOe[ H NPfsfR[W NPOJltz bLQRJUO H YJ[]ZOslashJUO H N H QR[]O`[SX H MeJyXiacuteNPbnJauml[]O H MeJaumlbn[]O H hNihYm H [H MeJIacutebn[UiNihQcNPObnJlaquoZaringN H hQk^eJ H JLhZaringQcONPO H WMQsbM H N`PJUYUacuteNP^UiNPO H N[PJaelig[SX H MeJtimesbn[]fR[PhQcOFX[PhlZ N H QR[]OO^macr^ ^WVFEumlETH=gtNtildeFETH32EacuteltOacuterETHEacute`0Ntilde=KIgravek8ltIgraveFETHIgrave5=KETH32EacuteltOacute~2Oacute+(8ltIgraveEacute IcircIgrave5euml1IgraveFOacute=KIgraveIcircMJa^eJUYZbnhQcK H [PhYOslashcentNPYZJU^[]O H MJ`bn[UiNihQcNPObnJZaringN H hdQkNihJ`QZOslashK-fRJZOslashJUO H JU^ H [^eJ H JUb H MBjFZaringNPO XqNPbnJUYQcO UWQc^eJL[OacuteYJBjeJUObnJUY^MQsYaring^eJ H JUb H QR[]OegraveZaringNm cent=J`jYJU^Xiacute[PhtUWQc^eJL[ bn[B^QcO[ H [JUObn[W^eJYJUfcJUb H QVUPJUfVm H MeJOacuteMBjFZaringNPOegraveXqNPbnJS^ not [Ph`N []QVUPJUObn[]ZOslashKhZJUYZYZQR[]OOacutehN H QR[e H MeJoXiacuteNPbnJbLNPO7cent=J H hNPOYYZ Q HH JU^bWiexclQ H MN MQV[]MJLhThN H J H [H MeJ^eJ H hdQZOslashJUO H [SX H MeJcentNPbl`[Ph[]jO^O^uMQsY QsO H JLhZJUY H QcO[KhZ[PKEgraveJLh H m QcYUiNPfcjWVNicentfcJuX[PhUBQc^JL[Bbn[]OXiacuteJLhZJUObnJUYe]WMeJLhZJ H MeJ ZOslash[]Y H QZOslashKEgrave[Ph H NPO H NPO^regZOslash[]Y H U~NihdQcNicentfRJQcOFX[PhlZ N H QR[]OQcYfR[WbLN H JU^ []O H MJordfXiacuteNPbnJaq 5ZOslash[]Oe[]j`NPO^tUacutejMNSZaringJUfde sSsSs j^ J QcOQ H QcNPfcQVcurrenLJ H MJhdY H XiacutehNSZOslashJoWQ H M7N`bLQchbLfRJ QsOYZQc^eJ H MeJXqNPbnJ H [ H hNPbY`K^MJUOOeyacuteWFJsup1ZaringN`PJ H MeJNPb H QVUPJ7bn[]O H []jeheumlJUP[]fVUPJjYZQcOF[admacr s jeiexclWQ H MX8ordfaOgravejxaacuteILK KafUgravemiddot cent j^ltMeJregONPfybn[]O H []jehtimes[SX H MeJ bLjehZhJUO H QZaringN[PJ QcY H MeJUOOacutebdMe[]YJUO7NPYNPO QcOQ H QcNPfbLjhYUPJordfX[Ph H MJUacuteOJk H QZaringN[PJS^FMeJOtildeNPfV[P[PhQ H MFZMNPYcentEgraveJLJUOKEgraveJLhYXiacute[PhlZOslashJU^[]OYJUPJLhdNPf$YJjJUObnJUY^MeJaelighZJUYjf H Y5X[Ph H MJaeligYZJjeJUObnJpoundn5JLhQV`p NihJordm[]QVUPJUOQcOnot QV[^ethz^shyMeJaringKNihNSZaringJ H hZJ bMNPYaumlcentEgraveJLJUOYZJ HaumlH [sup1f s ^QMeJordmXqNPbnJ QcYordfWFJUfcfy^J H JUb H JU^NPO^ H hNPbY`PJU^times[]O H MJ|WMe[]fcJyYJjJUObnJS^MJyhZJUYZjf H YOX[Ph H MeJNtildeYZJjeJUObnJnN`WQVmP[]p

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ macrNihZJy[]QVUPJUO`QsO not QV[^ i^ JaeligbMe[B[]YJbaacute s ^ JtimesbLNPO`YJLJ H MN HH MeJXiacuteNPbnJaeligQcYuWFJUfcf^eJ H JUb H JU^aJUPJUOaQVX H MeJaumlbn[]fR[Phiexcl[SXMJLhYZMQRh H QsY(bLfR[]YJ H [ H MJgXiacuteNPbnJIacutebn[]fR[Ph^

YOEAEligMgtIltROgravesup3PshyAtildeT13MKI5O H MQcYKNiKEgraveJLheuWNtildeJKhZ[PKEgrave[]YJN OeJW 0jfRJLhQcNPOAumlZaringQsOQZaringQVcurrenUN H Qc[]OAumlZOslashJ H Me[W^ H [bn[]ZOslashK-j H J H MJUPJUfR[WbLQ H mpoundUPJUb H [Pharing[SXNPONPb H QVUPJ bn[]O H []jeh H MN H JUOYZjehZJUYtimesQ H WQcfcfJUP[]fVUPJ NPYordfXiacuteNPY H NPYOtildeKEgrave[]YZYZQRcentfcJ H [WNih^YIacuteNZaringQcOQCZIacutejFZ [SXN bnhQ H JLhQR[]OeumlQcObLfcj^QcOF[centEgrave[ H MUacutehZJ[]QR[]OeVcentNPYJU^TNPO^OtildecentEgrave[]jO^NihYmVcentNPYJU^ H JLhlZ Y^ q jehgNiKKhZ[]NPbMIacuteQcYcentNPYZJU^Otilde[]OYZMNiK=J[PK H QZaringQVcurrenUN H Qc[]OOslashKhQcObLQRKfRJUY$NPO^ QcYyKEgraveJLhYXiacute[PhlZOslashJU^ QcO H MehZJLJ5ZaringNPQcO Y H JLKYaringf^ltO H hZ[W^jb H QR[]O[SX$NOslash^mWONSZaringQcbLNPfYbMeJZOslashJIacuteQcO H MeJTbnhQ H JLhQR[]OOe ^vF[]ZOslashKj H N H Qc[]Oaelig[SX H MeJ_0jfRJLhdQcNPOaelig^eJLhQVUiN H QVUPJ[SX H MJbnhQ H JLhQR[]OOslashjYZQcO[OtildeYZMNiKEgraveJ

[PK H QZaringQVcurrenUN H Qc[]O H [[]fcYe^vF[]ZOslashKj H N H Qc[]Oa[SX H MeJtimesJUP[]fcj H Qc[]OaJBjN H QR[]O`[SX H MeJaeligNPb H QVUPJtimesbn[]O H []jehiexclXiacutehZ[]ZH MeJT^eJLhQU~N H QVUPJS^

iexcl Ntilde _ cent G NPfcfR[WY H [hJUNP^QcfVm H N`PJNtildeQcO H [NPbLbn[]jO H9H MeJybLNPYJ0[SXBhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H^eJUYbnhQRK H [PhY H MN H NihZJo[]fR[PcentNPfcfVmN HH NPbdMeJU^ H [ H MeJ JUP[]fVUWQcO[ hZJ[]QR[]OYtimesNPO^Y[H MN H UiNihYm^jehQsO[ H MJaumlKhZ[PKN[]N H Qc[]O [SX H MJaumlbLjehYUPJS^ JTYMe[W H MN HH MeJgUiNihQuVN H QR[]O [SX H MeJUYJ^JUYZbnhQRK H [PhdY QsO^jbnJUYNP^^Q H QR[]ONPf H JLhlZaringYQcO H MeJeumlJUP[]fcj H QR[]OJBjN H QR[]Oeuml[SX H MeJaringNPb H QVUPJ bn[]O H []jeh^MJUYJ H JLhlZaringYgZtimesjY H Oe[ H centEgraveJlaquoX[Phl[P[ HH JUOQcO[Ph^JLh H [ hZJUNPbMeumlN H hjeJZ QcOQZtimesjFZ[SX H MeJtimesbnhQ H JLhQc[]OaNPYUacuteQ H MNPYcentEgraveJLJUOKEgrave[]QcO H JU^[]j H QsOJkBKEgraveJLhQZaringJUO H NPfEgravehZJUYjf H Y^

Yfrac34XiacuteNiheumlNPYeumlMe[]ZOslash[S[PJUOeJL[]jYeumlbn[]fR[PheumlhZJ[]Qc[]OY`YZJ[]ZOslashJUO H N H Qc[]OQsY`bn[]ObnJLhdOeJU^OeWFJKhZ[PKEgrave[]YJ H MeJ`bn[U~NihQsNPObnJfrac34ZaringN H hdQk^eJ H JLhlZaringQcONPO H NPY N^eJUYbnhQRK H [Ph^MQcYY H N H QsY H QcbLNPfhZJ[]QR[]OeV4^eJLKEgraveJUO^eJUO H ^JUYZbnhQRK H [PharingNiKK=JUNihdY H [centEgraveJN UPJLhlm7hJUfRJU~NPO HH [B[]fampNPO^eumlY[ Q H MNPYUacutecent=JLJUOeumlYZjbLbnJUYZYXqjfcfVm NiKKfsQRJU^ H [XqNPbnJaring^eJ H JUb H QR[]OQcOfrac34UWQc^eJL[YJBjeJUObnJUY^

iquest acuteraquoacuteLacuteIltR]acuteAtildeagraveIgravefrac14dEcircsup1Atilde5AringiquestLmiddotNtildeIumliquestUumlgIumlUTHORNampAtildeEacutecedilAtilde5AringAcircnAtilde|iquestaacuteIacuteIumlIZEgravefrac14Zcedilfrac12frac14dAringiEcirc]iquestfrac14draquoiEcirc[NtildeIumlagraveAringEacutePAtildecedilwAacute4] uacute_^J^J^ iquest)` igraveraquoLCcedilfrac14cedil4Ecircfrac14draquo~Ecirc(Auml|AringAacuteCcedilfrac14Zcedil4Ecirc

Agrave5AringcedilAcircnAtilde$AtildeAcircnAuml|frac12AringAacutesup1AumldraquoTAringAEligwsup1raquo~ordm(frac12Atilde5AcircnAtilde5frac12AEligwAtildeAacuteampIgrave(Atilde AacuteIcirc~AumlUEcircSaIumligraveraquo13] x4~rv p4PldrRtcoPl|Egraveod5v pv i4vodaumlx4shyl not vsectpqo v tu not Iumlcb$Auml|EacutePAtilde|iquestednfrac14Oumlifrac14draquoIuml

agraveIgrave(Aumldraquo~Auml|Aringiquest~igrave4IumlPfrac14raquoiEcircfWIumliTHORNampAringIcircifrac14Igrave(Atilde5frac12G] divideugrave|ugrave|ugrave iquest` igraveAacuteAtildecedil4frac14ZAacutesup1Acirc|AtildeNtildeEacute~frac14dAgrave4UgraveUCcedilEgravefrac14cedil4EcircUacuteAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoUacuteOgraveregAumldcedilIcirc~sup1Atildecedil4frac14cedilAgrave4Icirc~sup1currenEumlAgravefrac14dfrac12=CcedilEgravefrac14AcircnAtilde5frac12AtildeAacutesup1Igravefrac14ordm|AtildeAgrave5AumlUEcircsup1raquo~ordmIaIumlaeligigraveiacuteraquoS] x4rv p ildrRtcodil|ampod5v pv P4vOtildeodOslashx4shy(l not vFsectpqo v tu not Iumlg frac14raquo~Agrave5AumldAring~AcircnAtildecediliquestehEgravefrac14raquoifrac14|Ecircfrac14Iuml

agraveAringEacutePAtildecedilwAacuteiquest[NtildeIumlWfrac14raquoiEcircifWIuml13b$Aumldcedilraquo~OumlcedilAuml|EacuteAEligqAacute4] divideugrave|ugraveuacute iquestkj ldrregv shy(ldrRtcl|ipwonm5v shyNtildetuOslashtushyl not vampipwo4v tu not sect9ldp4rRtcl|Egravedt lv pv ~rRtRl|9vDm~lrRtcod~ldiTrreg~vUacutel| Uiexcloqnldp4tcldrRtRod~ iquestpoAumlIuml uacute_qEr IumlOslashagrave9Ouml~Oumlfrac12sup1AtildeEcircaacuteUacutefrac14AacuteIcirc~AtildeIgravefrac14Aacutesup1Agravefrac14dfrac12BatildeAgravesup1Atilderaquo~Agrave5Atilde5AElig5iquestPatildeOumlcedilsup1raquoordm|Atildecedil g Atildecedilfrac12frac14dordmIumlhEgravefrac14dAEligwAtilde5frac12frac12Atilde5AElig5iquest g Iumliquest~szlig0Iumleb$sup1Igrave(Igrave(Atilde5frac12Riquestifrac14raquoiEcirc[NtildeIumlatildefrac14dOumlsup1cedilAumlI] uacute_^J^Er iquest`s[Atilde5AumlUEcircAtilde5AEligwsup1AgraveFfrac14dAgraveAacutesup1AcircnAtildeyAgrave5AumldraquoUAacuteAumldAringcedilAElig_aIuml x4~rv p4PldrRtcodPldpoundUodUp4Pl|WoqodshyiUrv paumlumltutcodutet13v uacute+w iquestex uacuteyIrz^ Iuml

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CBh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34LiquestBagraveyIumlWfrac14raquoiEcircidIumlBTHORNampAringraquo~Agravefrac14raquo13] uacute4^z^J^ iquest`[ampfrac14Igrave(AtildeEumlcAacuteIcirc~Atilde5AumlcedilAtildeAacutesup1Agrave(sup1raquoUAacuteAtildeordmdcedil4frac14Aacutesup1AumldraquoaeligOgraveuAumldcedil0sup1Igravefrac14dordmdAtildeAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIuml xQ|||~pwl~ lnrRtcodNtildeodiexclsect9lrRrv p auml9Pl| ~tuyldi j l|4Utu]vx4~rvreg t not v P4v Iumlh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34Liquestgagrave0IumliquestIumlgatildeUAacute4frac14dsup1Eacuteiquest9frac14draquoiEcircdIuml9THORNampAringraquo~Agravefrac14raquo13] uacute_^J^ xiquest` THORNampAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeIacuteEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34iraquo~Ecircsup1raquo~ordmsup1raquoIgrave(AtildeEcircsup1Agravefrac14frac12iexclsup1Igravefrac14ordm|Atilde5AEligaringEacuteLfrac34Oacutesup1raquoLAacuteAtilde5ordmcedil4frac14Aacutesup1raquo~ordm ordmdcedil4frac14|Ecircsup1Atilde5raquoLAacute frac14raquoiEcirccedilAtilde5ordm|sup1Auml|raquo sup1raquoOgraveuAumldcedilIgravefrac14ZAacutesup1Auml|raquo13aIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu notI iquesteE ^4y rdugrave Iumlh=Icircifrac14raquoiquestBETHIumlWfrac14raquoiEcircIuml g Atilde5AEligwAtildeJ] dividedugravedugraveuacute iquest` agraveAgraveAacutesup1AcircnAtildeFAgrave5Auml|raquoLAacuteAuml|AringcedilAElig$Ccedilgsup1AacuteIcircAuml|AringAacuteNtildeAtilde5Ecircordm|AtildeAElig_aIuml xQ||k|~pwld lnrRtcododUacutex4shy(l not v9sectpqo4v 4tu notuU v divideJw iquest divide xJx ydividezrJr Iumlh=Icirc~Atilde5AEligwraquo~frac14dAring~EcirciquesthIumliquestfWIuml=szligAtildeOgraveYacutecedilIAtilde5ordm|sup1Atildecediliquestfrac14draquoiEcirc g Iuml5Z=AumldAring~frac12AtildeAacute4] uacute_^J^z^ iquest`currenatildeUAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12cedilAtilde5ordmdsup1AumldraquoAEligwraquoifrac14dUgrave|AtildeEumlsEacuteifrac14dAEligwAtilde5EcircAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquofrac14|Ecircfrac14dOumlAacuteAtilde5EcircFAacuteAumlyEcircsup1s]AtildecedilAtilde5raquoLAacute-Ouml~IcircLfrac34AEligwsup1Agrave5frac14dfrac12~raquoAuml|sup1AEligwAtilde9Igrave(AumlUEcircAtilde5frac12AElig_aIuml xQ||k|~pqld~ lnrRtco~$osect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4vt iquest uacute|uacute_q y~uacute|uacute xIumlh=Auml|IcircAtilde5raquoiquestIuml] uacute4^z^uacute iquest`currenmiddotraquofrac14dAgrave Aacutesup1Acirc|Atilde Agrave5AumldraquoLAacuteAuml|AringcedilIacuteIgrave(AumlUEcircAtildefrac12AEligtimesfrac14draquo~EcirceumlEacuteifrac14dfrac12frac12AumlLAuml|raquoAElig_aIuml odshyiUrv pumltutcod pwl Utc0ldix4shyl not vsectEgravepwo4v tu not x4shyl not vOtildePnv p rsldidtu not) iquest divideUuacuteduacuteydivideLuacute UIumlh=Auml|IcircAtilde5raquoiquestSIumliquestUumlIuml13ZEgravefrac14cedil4Ecircsup1raquo~AtildeAacuteiquestfrac14raquoiEcircoNtildeIumlagrave9frac34Lfrac14dAgrave4Icirc~AtildeJ] uacute_^J^z iquest`atildeUAringcedilwOgraveufrac14dAgrave5Atilde0cedilAtilde5Agrave5Auml|raquoAEligqAacutewcedilAring~AgraveAacutesup1AumldraquotimesAring~AEligwsup1raquoordmfrac14AgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilaumlIgrave(AumlUEcircAtilde5frac12AElig_aIuml igraveiacuteraquoS] Lsect=xQ|od5v pv P4v od vwodshy(v rRp tc j v rregodtimestuodshyiUrv pumltutco Iuml~atildefrac14raquoUacuteTHORNampsup1Atilde5ordm|AumliquesthEgraveagraveyIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquestEgraveUumlIuml] dividedugrave|ugravedugrave iquest`currenatildeAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquo Ouml~frac14cedilAgrave5Auml|raquoLAacuteAuml|AringcedilAEligUacutefrac14AgraveAacutesup1currenOgraveuAEligUacuteAtilde5raquosup1Igravefrac14dordmdAtildecedilsup1AtildeIacuteIgraveAtilde5Ecircsup1Agravefrac14dfrac12AtildeIacuteEcircfrac34UEumlraquoifrac14dIgrave(sup1ecircLAring~Atilde]ampfrac14Ouml~Ouml~frac12sup1Agravefrac14ZAacutesup1AumldraquoAtilde5raquoeumlAgravefrac14Zcedil4Ecircsup1Auml|frac12Auml|ordmdsup1Atilde raquoUAring~Agravefrac12Atilde5frac14dsup1currencedilAtildeJaIumlfIcircIuml THORNFIumlAacuteIcirc~Atilde5AEligwsup1AElig5iquestraquo~sup1AcircnAtildecedilAEligwsup1currenAacutefrac34`AumlOgraveosup1Agrave5AtildeEumliacuteatildeAumldOuml~Icircsup1Yacutefrac14NtildeagraveraquoLAacutesup1OumlPAuml|frac12sup1AElig5iquestPeacutecedil4frac14raquo~Agrave5AtildedIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquest|UumlIumliquestUaacuteIacuteIumlEZEgravefrac14cedilfrac12frac14dAring~Ecirciquest[NtildeIumlLagraveAringEacutePAtildecedilwAacuteiquest|frac14draquoiEcirc dIumlnTHORN$frac14ZcedilAgrave5Auml|AringcedilwAacute4] divideugrave|ugraveUuacute iqueste`currenatildeOuml~frac14dAgrave5AtildeEgraveAacutesup1Igrave(AtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14EumlAacutesup1AumldraquoUacuteAring~AEligwsup1raquoordmfrac12Atilde5AcircnAtilde5frac12AEligwAtildeAacutefrac14dAgraveAacutesup1AcircnAtilde$AgraveAuml|raquoLAacuteAuml|AringcedilAEligfrac14Ouml~Ouml~frac12sup1AtildeEcirciexclAacuteAumlFIgraveNtildefrac34LAumlLAgravefrac14Zcedil4Ecircsup1frac14dfrac12ordmnfrac14ZAacuteAtildeEcircOtildeatildeIf-UumlkhEgraveETHaIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu not t v rJw iquest)x qJ+y xJ ^ Iuml

THORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquest13iexclNtildeIumlfrac14draquo~EcircdIumlWaacuteAuml|raquoLAacute4frac14ordm|raquoifrac14ZAacute4] divideugrave|ugraveUuacute iquest` ETHBAumldOumlPAuml|frac12Auml|ordmfrac34Oslashfrac14raquoiEcircIacuteAEligwIcirc~frac14dOumlPAtildeAgraveAuml|raquo~AEligqAacutewcedil4frac14sup1raquoUAacuteAEligyAumldraquotimesOumlifrac14Zcedil4frac14EumlIgrave(AtildeAacutewcedilsup1AgraveOslashfrac14dAgraveAacutesup1AcircnAtildearingAgrave5AumldraquoLAacuteAuml|AringcedilAElig_aIuml odshy~rv pumltutcodldP x4shy(l not vPLv p4rsldPtu notcent) v divideJw iquestuacute_qnugrave4yiuacute4rUuacute Iuml[Auml|Igrave(Atilde5AElig5iquestpounddIumlfrac14draquo~EcircaringmiddotNtildeIumleacuteifrac14Aring~ordm|Atilde cedil4frac14dAElig_] divideugrave|ugrave|ugrave iquestcurren` szlig9Atilde5Agrave5Aumldraquo~Agrave5sup1frac12sup1raquo~ordmIacuteEcircsup1AEligqAacute4frac14draquoAgrave5AtildeOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligfrac14draquo~Ecircaeligfrac12Atilde5AcircnAtilde5frac12EgraveAEligwAtilde AacuteAElig_aIumlpoundUodUp il|WoqUacuteumltul|-odshyNtildeshyFU~tR4lrRtcodTldix4shyl not vampgvipv v rsldrRtcod ) iquest dividedugravez^+ydivideddividez Iuml[cedil4frac145frac34LiquestszligyIumliquestdIumlyen-Auml|Aringraquo~ordmiquestampfrac14raquoiEcircagrave0Iumlampagravesup1currenfrac34LAtildecedil4] dividedugravedugraveuacute iquest `aacutesup1raquosup1IgraveNtildeAring~Igrave Ecircsup1AEligwAgrave cedilsup1Igrave(sup1raquo~frac14Aacutesup1Auml|raquosup1raquoOgraveregAumldcedilIgravefrac14Aacutesup1AumldraquoAgrave5frac12Aring~AEligqAacuteAtildecedilsup1raquo~ordmI]Igrave(AumlUEcircAtilde5frac12sup1raquo~ordmTfrac14raquoiEcircOslashecircLAringifrac14raquoUAacutesup1Ocircfrac14ZAacutesup1Auml|raquoOslashCcedilgsup1currenAacuteIcirc ordm|frac14dAringAEligwAEligIgrave(sup1currenicircAacuteAringcedilAtilde5AElig_aIumlTigraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquest=atildePIumliquest=aacuteIacuteIumlkZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestEgravefrac14raquoiEcirc[NtildeIuml=agrave9Aring~EacutePAtildecedilwAacute4] dividedugrave|ugraveUuacute frac14Uiquest` agrave EumliacuteatildeUAacuteAtilde5Ouml frac14dfrac12ordm|Aumlcedilsup1currenAacuteIcirc~IgraveAring~AEligwsup1raquoordmcedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtilde=Agrave5Auml|raquoLAacuteAuml|AringcedilAEligeOgraveuAumldcedilAcircUsup1EcircAtilde5AumlAuml|EacuteUbrvbarqAtilde5Agrave AacuteAElig=EcircAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoSaIuml~igraveraquo13]psect xw j x4 sect odpDumlqo odUacutex4shy(l not v9Pl| ~tu5op j rRtushyvwdtclNtildex4rv pwlnrRtKndvy]v pntc4v IumliETHWfrac14dIgrave(OumlPAtilde cedilAtilde|iquestieacuteWsup1raquofrac12Yacutefrac14raquoiEcirc]Iumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquestUatilde]IumliquestUaacuteIacuteIumlUZ=frac14cedilfrac12frac14dAring~EcirciquestUfrac14raquoiEcirccopy[NtildeIumlUagrave9Aring~EacutePAtildecedilwAacute4] dividedugravedugraveuacute EacuteiquestA` szlig9Atilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14AgraveAacutesup1AcircnAtildegAgrave5Auml|raquoLAacuteAumldAringcedilAEligOgraveuAumldcedilAcircUsup1YacuteEcircAtilde5AumlaringAuml|EacuteUbrvbarqAtilde5Agrave AacuteOtildeAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo Ccedilgsup1currenAacuteIcircaAgrave5frac14dIgrave(Atildecedil4frac14OslashAgrave5AumldIgrave(OumlPAtilde5raquo~AEligfrac14ZAacutesup1Aumldraquo13aIumligraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquesteatilde]IumliquestWaacuteIacuteIumlZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestefrac14draquo~Ecirc[NtildeIumlBagraveAring~EacutePAtilde cedilwAacute4] divideugrave|ugraveuacute Agrave|iquestk` g sup1EcircAtilde5AumlUacuteAuml|EacuteUbrvbarqAtildeAgraveAacuteFAEligwAtildeordm|Igrave(Atilde5raquoLAacute4frac14Aacutesup1AumldraquoAring~AEligwsup1raquo~ordmIacuteAtilde5Aring~frac12Atildecedilsup1frac14draquo cedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAElig_aIuml igraveiacuteraquoS] x4rv p ildrRtcodil|yodv pwv P4vIacuteoodshyiUrv paumlumltutcod Iuml g frac14draquoAgrave5Auml|AringAcircnAtildecediliquestehEgravefrac14draquo~frac14|Ecirc~frac14UIumlbyfrac14dAEligwAElig5iquesteaacuteIacuteIumliquestWagrave0Iuml Ucirc sup1currenAacuteUgravesup1raquoiquestWfrac14raquoiEcirctimesTHORNFIumlWETHBAtildecedilOcirc5AumldOumlPAuml|Aringfrac12AumldAElig_] uacute4^ JUiquestk`currenatilderaquoifrac14UgravenAtilde5AElig_]WagraveAgraveAacutesup1AcircnAtilde(Agrave5AumldraquoLAacuteAuml|Aringcedil0Igrave(AumlUEcircAtilde5frac12AElig_aIumlx4~rv p4PldrRtcoPl|WpoundUop4PldWoqodshyiUrv pTumltutcod iquest ndivideUuacuteyUzndivide Iuml

aacuteUacutefrac14dfrac12frac12frac14|Ecircsup1ciquest~szlig0IumliquestedIuml]atildeUAtildeAacuteIcirc~sup1frac14raquoiquest~frac14draquoiEcircZIuml g Atilde5IgraveNtildeAringcedilsup1G] uacute4^z^ UiquestS`atildeUIcircifrac14OumlPAtilde$Igrave(AumlUEcircAtilde5frac12sup1raquo~ordm0Ccedilgsup1AacuteIcirciexclOgraveregcedilAuml|raquoLAacuteOumlcedilAumldOumlifrac14dordm|frac14EumlAacutesup1Aumldraquo13]nfrac14ampfrac12AtildeAcircnAtilde5frac12AEligwAtildeAacuteEgravefrac14Ouml~OumlcedilAumlnfrac14dAgrave4Icirc13aIuml xQ|||~pwld lnrRtcodampodsectgldrRrv p 9Pl| ~tu9ldP j ln4Utreg]vx4~rvu t not v i4v Iordf iquest uacute z yiuacute+r UIuml

aacuteUacutefrac14draquoAEligwAuml|Aringcedilsup1Riquestagrave0Iumlfrac14draquo~EcircdIumlb$Auml|raquocedil4frac14|EcircS] uacute_^J^J^ iquestlaquo`currenaacuteAumldAacutesup1AumldraquoAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo`Ccedilgsup1currenAacuteIcirceumlfrac12Atilde5AcircnAtildefrac120AEligwAtilde AacuteAElig_aIuml igraveraquo13]x4~rv p4PldrRtcoPl|=ov pwv P4vNtildeodUacutex4shyl not vsectEgravepwo4v tu not Iumlcb$AumldEacutePAtilde|iquestednfrac14dOuml~frac14draquoIuml

aacuteAuml|raquoLAacute4frac14dordmdraquoifrac14ZAacuteiquestdIumliquestziexcl0IumlTHORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquestdfrac14draquo~EcircoNtildeIumlZagravegfrac34Ufrac14dAgrave4Icirc~AtildeJ] dividedugrave|ugraveUuacute iquest` agraveOslashcedilAtildeAcircsup1AtildeCcedilaeligAumldOgravePEcircAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeAEligwAringcedilwOgraveufrac14dAgrave5AtildeAElig_]AacuteAuml|OumlPAuml|frac12Aumldordmdfrac34Liquestgordm|AtildeAuml|Igrave(AtildeAacutewcedilwfrac34frac14draquoiEcirc EcircAtildeOgraveuAumlcedilIgravefrac14Aacutesup1Auml|raquoSaIuml x4shyl not vtimesldiOacuteumltutcododshy~rRtreg not0Inot v uacute_qw iquestuacuteugravendivide+y~uacuteugravezq|ugrave Iuml

aacuteAring~IgraveOgraveregAumldcedil4Ecirciquest=THORNFIumlgfrac14raquoiEcircdIumlatildeIcirc~frac14dIcircS] uacute4^ ^ iquest`currenmiddotOumlAacutesup1Igravefrac14frac12$frac14dOumlOumlcedilAumlicircsup1Igravefrac14Aacutesup1Auml|raquoAEligEacuteLfrac34Oumlsup1AtildeAgrave5AtildeCcedilgsup1AEligwAtildetimesAEligwIgrave(AumlLAumlAacuteIcircOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligFfrac14raquoiEcircOslashfrac14dAEligwAEligwAumlLAgravesup1Yacutefrac14ZAacuteAtildeEcircaringAcirc|frac14Zcedilsup1Yacutefrac14ZAacutesup1Auml|raquoifrac14frac12EgraveOumlcedilAumldEacute~frac12Atilde5Igrave(AElig_aIuml odshyNtildeshyFU~tR4lrRtcod~oaeligsectEgraveUpvUacuteldiEgraveni tsvw j ldrreg~v shy(lrRtccurrenshyt iquest rzr4y xJ q Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfa

yenKbrvbarsect =4 acirc $ zmiddotAEligwIcirc~AtildecediliquestdatildePIumlfrac14draquo~EcircdIumlnatildeAtilde AacuteIcirc~sup1frac14draquoS] uacute4^ ziquest` eacutecedilAuml|raquoLAacuteAEligeOumlcedilAumldOumlifrac14ordmnfrac14Aacutesup1raquoordmCcedilgsup1currenAacuteIcircFAgrave5AringcedilAcirc|frac14ZAacuteAringcedilAtildeEumlEcircAtilde5OumlPAtilde5raquoiEcircAtilde5raquoLAacuteBAEligwOumlPAtildeAtildeEcircS]

agravefrac12ordm|Aumlcedilsup1AacuteIcircIgrave(AEligEacute~frac14dAEligwAtildeEcircaumlAuml|raquoiexclampfrac14Igrave(sup1frac12AacuteAumldraquoEumldnfrac14Agrave5Auml|Eacutesup1eacute~AumldcedilIgraveNtildeAring~frac12frac14Aacutesup1Auml|raquoSaIuml poundUodUp4Pl|oqiexcloshyiUrsldrRtcoPl|sect=U~tc ordfenot iquest uacutedivide4yEqE^ Iumlfefrac14cedil4frac14ordm|sup1Auml|AElig5iquestoNtildeIumlfrac14draquo~EcircIacuteszligyIuml]THORNampAtildecedilsup1Agrave4Icirc~AtildeJ] uacute4^z^J^ iquest`s[Atilde5AumlUEcircAtildeAEligwsup1Agravefrac14AgraveAacutesup1AcircnAtildeFcedilAtilde5ordmdsup1Auml|raquo~AElig$OgraveregAumldcedil0Igrave(AumldAacutesup1Auml|raquoTAtilde5AEligqAacutesup1Igravefrac14Aacutesup1Aumldraquofrac14draquoiEcircAacutewcedil4frac14dAgrave4UgraveUsup1raquoordmAaIumligraveiacuteraquoS] x4rv p ildrRtcodil|-ov pwv P4vFodOslashodshyiUrv paumlumltutco Iumleh=AumldcedilwOgraveregAringgt[cedilAtilde5Atilde5Agrave5Atilde|Iumlfefrac14AacuteAtilde5Aringicirc]iquestatilde]Iuml] dividedugravedugrave|ugrave iquestpound`currenatildeOuml~frac14Aacutesup1frac14dfrac12AEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoTAumldOgrave=Agrave5Auml|frac12Aumlcedilysup1Igravefrac14ordm|Atilde5AEligampfrac14dAgrave5Agrave5Aumlcedil4Ecircsup1raquo~ordmAacuteAumlUacuteaacuteTHORNaringOgraveregAumldcedilIgravefrac14dfrac12currenEumlsup1AEligwIgraveaIumlyigraveraquo13] x4~rv p4PlrRtcodPld=od5v pv i vodododpFtu pwl4UtcldPx4shyl not vysectpqo v tu not Iumlatildefrac14dsup1raquoLAacute UumleAacutesup1Atilderaquo~raquo~Atildediquestieacutecedil4frac14raquo~Agrave5AtildedIumlfcedilAtildeAgrave5sup1Auml|AEligwAumliquesteacute=IumlEgravefrac14raquoiEcirc aacuteIacuteIumlcurrenZEgravefrac14cedilfrac12frac14dAring~EcircS] dividedugrave|ugraveUuacute iquest` Z-EumliacuteatildeUOuml~frac12sup1raquo~Atildeaumlfrac14dAgrave Aacutesup1Acirc|AtildeOtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAEligOgraveregAumldcedilOgraveRfrac14AEligqAacuteAcircUsup1EcircAtilde5AumltimesAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIumlOacuteigraveraquo13] x4rv p ildrRtcodil|od5v pv P4vaeligod x4shy(l not vUacutesectpqo4v 4tu not IumlETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1Riquest[cedilAtilde5Atilde5Agrave5Atilde|Iuml

szligAumldraquoOgraveufrac14cedil4EcirciquestszligyIuml] uacute_^J^q iquest` szlig9Atilde5ordmdsup1AumldraquoEumlsEacuteifrac14AEligwAtildeEcircFAEligqAacutewcedil4frac14ZAacuteAtilde5ordm|sup1Atilde5AEligeOgraveuAumlcedil-frac14dAgraveAacutesup1AcircnAtildeEgraveAgraveAuml|raquoLAacuteAuml|AringcedilIgrave(AumlUEcircAtilde5frac12AElig_aIuml x4~rv p4PldrRtcoPl|poundUodUp il|WoqodshyiUrv paumlumltutco I v dividezw iquest divideddividez^+yUdivide uacute Iuml

atildefrac14Igrave(AEligwAuml|raquoiquestzhIumliquestzIumlzZ=frac12frac14raquo~AgraveEumleacuteAtildecedil4frac14AringiEcirciquestJ[NtildeIumldagraveAringEacutePAtildecedilwAacuteiquestfrac14draquo~Ecirc dIumlJregPAtildecedilAring~Eacutesup1frac14I] dividedugravedugrave|ugrave iquest` agrave frac12Atilde5Acirc|Atilde5frac12UAEligwAtildeAacuteIgrave(AumlUEcircAtilde5frac12nOgraveregAumldcedilsup1Igravefrac14ordm|AtildeAgrave5frac12frac14dAEligwAEligwsup1siAgravefrac14ZAacutesup1Auml|raquo13aIuml x4~rv p4PlrRtcodPldpoundUodUp4Pl|BoqNtildeodshyiUrv pOtildeumltreg4tRod shy v Ew iquest uacute r4y~uacute4^Er Iuml

atildefrac14raquo~ordmdCcedilgsup1raquoAtilde|iquest9atilde]IumlEgravefrac14draquo~Ecircszlig0IumlampiexclAumldcedilraquoAtilde v Atilde5EcircAElig5Iuml w ] uacute_^J^ Uiquest ~vIacuteo|odUpaumltushyl not vipqo4v 4tu not ldP|m4oo4uml Iumlh=Icircifrac14dOumlIgravefrac14draquodegmacriexclampfrac14dfrac12frac12RIumlatildeAtildeAacuteIcircsup1frac14draquoiquestdIumlplusmn] uacute4^z^|ugrave iquestU` oAringIgrave(Atildecedilsup1Agravefrac14dfrac12Ufrac14frac12ordm|Aumldcedilsup1currenAacuteIcircIgrave(AEligWOgraveuAumldcedilOumlcedilAuml|Oumlifrac14ordmnfrac14ZAacutesup1raquoordmsup1raquoLAacuteAtildecedilwOgraveRfrac14Agrave5Atilde5AElig_]Jiexclampfrac14dIgrave(sup1frac12currenAacuteAuml|raquoEumldnfrac14dAgrave5AumldEacute~sup1

AtildeecircLAringifrac14Aacutesup1Aumldraquo~AElig-frac14draquoiEcircAgraveAuml|raquo~AEligwAtilde cedilAcirc|frac14ZAacutesup1Aumldraquo(frac12frac14CcedilgAElig_aIuml poundUodUp4Pl|]oqEgraveyen$t lv pv rRtcl| voshyv rRp~ iquest uacute4Uuacutey~uacute x uacute IumlatildeAtildeAacuteIcircsup1frac14draquoiquestAdIuml] uacute4^J^ xiquest kWvndvB]v r j v rregod IumlcurrenhEgravefrac14dIgraveNtildeEacutecedilsup1EcircordmdAtilderaquosup1AcircPIumlAfecedilAtilde5AEligwAElig5Iumlatildesup1Ecirc~Ecircsup1ecircUsup1Riquest4bIumliquest_yenNtildeIumlBfrac14Aring~Ocirc5sup1Gsup2AtildecedilAtilde|iquestagraveyIumlETHWfrac14draquoraquo~Atilde5raquoUEacute~frac14dAring~IgraveUacuteiquest5frac14draquo~EcircNtildeatildePIumlregPAring~Agrave4UgravenAtildecedil4] uacute_^J^ xUiquestE`currenagravegcedilAtildefrac149frac14draquoiEcirc$frac12Atilde5raquoordmdAacuteIcircyIgrave(sup1raquoEuml

sup1Igrave(sup1Ocirc5sup1raquoordm sup3iAumlCcedilgAEliggOgraveuAumldcedilAEligwIcircifrac14OumlPAtildeyAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo13aIuml xQ|||~pwl~ lnrRtcodoOtildex4shyl not vsectEgravepwo4v tu notordf v Ew iquest qEz+yqzqE Iumlyen=AtildeOcirc5Ocirc5sup1RiquestagraveyIumliquest5agrave0Iuml5ETHEgraveAEligfrac14dsup1Riquestfrac14draquo~Ecirc$agrave0Iuml Ucirc sup1frac12frac12AEligwUgraveLfrac34] uacute4^z^J^ iquestJ` agraveaeligAEligqAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12Ufrac14dOumlOumlcedilAumlnfrac14Agrave IcircampAacuteAumlgAEligwraquo~frac14dUgravenAtilde5AElig]OgraveuAumlcedilWEacutesup1Igrave(AumlUEcircfrac14dfrac12frac14draquoiEcircAacutewcedilsup1Igrave(AumlUEcirc~frac14frac12isup1Igravefrac14dordmdAtildecedilwfrac34aIumligraveraquo13] x4rv p ildrRtcodil|eodv pwv P4vyodx4shyl not vgsectpqo v tu not IumlAb$AumldEacutePAtildednfrac14dOuml~frac14draquoIumlreg]IcircUAringiquest]atilde]Iumlfrac14raquoiEcircaumlagrave0Iumleyen=Aringsup1frac12frac12AtildeJ] uacute_^J^ xUiquestpound` szlig9Atilde5ordmdsup1AumldraquotimesAgrave5AumldIgrave(OumlPAtildeAacutesup1currenAacutesup1Auml|raquo13]iAring~raquo~sup1currenOgraveYacutefrac34sup1raquoordmiexclAEligwraquo~frac14dUgravenAtilde5AElig5iquestPcedilAtildeordm|sup1Auml|raquoTordmdcedilAumlCcedilgsup1raquo~ordmiquestfrac14draquoiEcircZEgravefrac145frac34LAtilde5AEligacute|aacuteTHORNOgraveregAumldcedilIgraveFAring~frac12currenAacutesup1Eacuteifrac14raquoiEcirc sup1Igravefrac14ordm|AtildeTAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo13aIuml xQ|||micro~pwld lnrRtcodtimesosect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4v Icent iquesteJ q+yU^dugrave|ugrave Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfo

i $amp)(+-)013021+345627893lt=gt9A6CBfrac12OcircacuteIshyNT

frac12OcircacuteIltNTpara frac12frac34EMeJaumlQcYZYZjJUacuteQsY H [ ^QEgraveJLhZJUO H QcN H J H MeJordfXiacute[]fcfR[WQcO[Oslash^e[]ZaringNPQsOXiacutejOb H QR[]ONPfdaringocirc|adOuml times jOcircaacute uuml times a2atildeltszligaumlgtszliglOuml times j atilde auml

G QsObnJ H MJeumlYZJ H [SXIacuteNPfcfUacute^e[]ZaringNPQsOYMNPY Oe[ H N Y H hjb H jhZJ`[SXUPJUb H [PhQcNPfOtildeYZKNPbnJSefRJ H jYZ N`PJ H MeJeumlhZJ[]QR[]OYJUP[]fVUPJ H MehZ[]j[]M NrXqNSZaringQcfVm [SX H hNPOYYX[PhlZ N H QR[]OYa(|aagraveszlig jj emiddot iacuteaumlYlZOslash[[ H MaNPO^ centQ ~JUb H QVUPJS^ not [PhNOslashKEgrave[]QcO H $ aacute atildeshyszligaumlN eFWFJTOe[ H JSaring$ aagravej|aacutemiddot|aagraveszlig $ j WiexclQ H M |a s szlig $ jaacute $OumlcopytimesaagravejOcircaacutemiddot|aagraveszliglOumlutimesdj WiexclQ H M |a s szliglOumlcopytimesAjOcircaacuteAumlOumlutimes9J H jY H MeJUO^JOeJ H MeJordfUPJUfR[WbLQ H moUPJUb H [PhdY JUfs^kfrac12 YZjbM H MN H aringfrac12sup1aagraveszlig $ aagravejj|aacute aelig |aelig agrave aagraveszlig $ j YlaquoXiacuteNiharingNPY H MeJ bn[]ZOslashKj H N H QR[]O[SX H MeJ ^eJLhQU~N H QVUPJ QcYOslashbn[]ObnJLhOeJU^OeWFJNihZJQcOWVH JLhZJUY H JU^ QcO YYZaringNPfcfOtilde^JX[PhlZ N H QR[]OY^ J H MBjYJkWKNPO^ H MeJ H hNPOYX[PhZaringN H QR[]ONPbLbn[Ph^QcO[ H [hdY H [Ph^eJLh NmWfR[PhyacuteXiacute[PhlZtimesjfcNaring|aagraveszlig $ jpoundaacuteAElig|a s szlig $ j agrave aelig |aelig agrave a s szlig $ jaacute $ ragrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacute frac14 frac14 a s szlig $ j^ J H MeJUOQcO H hZ[W^jbnJ H MehZJLJgZ NPQcO^eJOQ H QR[]OYaringf^QMeJg0jfRJLhQcNPO^eJLhQU~N H QVUPJOtilde[SXocirc|adOuml times jordfaqQcO H MeJIacute^QRhZJUb H QR[]O[SXcedilfrac12jaring ocirc|adOumlcopytimesszlig_frac12jOcircaacutefcQZUcedil iacute ocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave admacrfj ^QMeJgZaringN H JLhQsNPfg^eJLhQVUiN H QVUPJOtilde[SXuumlStimesYa $ szliglOumlcopytimes)jaringsup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j|aacutefcQZUcedil iacute uumlStimesa $ ragrave3frac12ba $ jszliglOumlutimes agrave3frac12sup1a $ jj uuml]timesa $ szliglOumlcopytimesdjagrave admacr j^QMeJaumlYZMNiKEgraveJOtilde^eJLhQU~N H QVUPJOtilde[SXOcircuuml]timesa $ szliglOumlutimes)jaring

uumlnotraquotimes a $ szliglOumlcopytimesUcircszlig_frac12 jaacutefcQZUcedil iacute uumlStimesYa $ szliglOumlutimesragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave admacrS]j

uumlnyacutenthornnyumll13YSordmY_Fordfy

yenKbrvbarsect =4 acirc $ hq centUWQR[]jYZfVmSe-centmaJkBKNPO^QcO[ admacr jUacuteNPbLbn[Ph^QcOF[ H [hdY H [Phd^eJLhordfNmBfR[PhordfXiacute[PhlZtimesjfcNeWFJaumlMNUPJSaring sup1uumlStimesYa $ szliglOumlcopytimesUcircszlig_frac12 jaacuteAumluumlnotraquotimes a $ szliglOumlcopytimesszlig_frac12jhuumlStimesa $ szliglOumlcopytimes)j frac12sup1a $ j admacrj J H MeJUOabn[]ZOslashK-j H JZOslash[PhJaumlKhZJUbLQcYZJUfVm H MJ0jfRJLhQcNPO ^eJLhdQVU~N H QUPJauml[SXcopyocirc|adOumlcopytimesdj^ JMNUPJSaringocircOcircadOumlutimesaagravejj ocircOcircadOumlutimes)jagrave aacute fagrave = thorn yuml uuml times a $ aagravejszliglOuml times aagravejj $ uuml times a $ szliglOuml times j $ FH admacrSmacr]j5O H MJohY H QcO H J[PhdNPfdeltWFJZaringN`PJ H MeJU~NihdQcNicentfRJ bMNPO[PJ $ aagravejaacute $ agrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacuteethicirc7a2atildeshyszligaumlFjszligicirc cent a2atildeltszligaumlj eWMQcbdM[]QVUPJUYaring thorn yuml uuml]timesYa $ aagravejszliglOumlcopytimesYaagravejj $ aacute admacrS]j

5 uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlutimes agrave3frac12sup1a $ jjlt^eJ H ocirc a $ jlt $WMJLhZJocirc a $ jQcY H MeJgXiacute[]fcfR[WQcO[aringSNPbn[PcentQcNPOtZaringN H hdQkKaring

ocirc a $ jaacute oacute fcedilxagrave frac14 iacute oslashfrac14Uordm agrave frac14 iacute oslashfrac14 ugraveagrave frac14 iacute acircfrac14ordm fcedil agrave frac14 iacute acircfrac14 ugrave ocircNPO^ YZ[eFWNtildeJIacuteMNUPJSaring

^eJ H ocirc a $ jOcircaacute fUragravee^QVUKafrac34frac12sup1a $ jjragrave cent ^eJ H amacr frac12sup1a $ jjMJUOWNtildeJauml[Pcent H NPQcOOaring

fsQZcedil iacute ^eJ H ocirc a $ j fagrave aacute ^QVUKafrac34frac12sup1a $ jj admacr]zSjMJJBjN H QR[]OxadmacrSmacr]j H MeJUOcent=JUbn[]ZaringJUYaringocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave aacute fagrave middot uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jjlt 13raquo ocirc a $ jlt $ uumlStimesa $ szliglOumlcopytimesAj $ admacrSi]j JTbLNPO`YZjeKKEgrave[]YJ H MN H ^eJ H aocirc a $ jjfrac14aacute sfrac12 agrave frac12 $ ^ JZaringNm H MeJUO H N`PJ^eJ H aocirc a $ jjfrac34 s eNPO^ WNtildeJ ^eJUPJUfR[PK H MeJaJkWKhZJUYYZQR[]OadmacrSi]j NPYoX[]fsfR[WQsO[centmNP^^QcO[aringN H JLhZ QcO H MeJIacuteYZJUbn[]O^aQcO H J[PhNPfltWMQcfcJaumlYZjeKKhJUYZYZQcO[ H MeJtimesYZNSZOslashJ H JLhlZQcO H MJordfhY H QcO H J[PhNPfdaring ocirc|adOumlcopytimesYaagravejj ocirc|adOumlcopytimes)jagrave aacuteegraveOtildef1rOtilde cent admacrSh]j

uumlnyacutenthornnyumll13YSordmY_Fordf

s $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJSaring

Otilde aacute uuml]timesa $ ragrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave ^eJ H aocirc a $ jj $ ad s jOtilde cent aacute uuml]timesa $ szliglOumlcopytimesdj ^eJ H aocirc a $ jj fagrave $ adfj

9J H jY_ZaringN`PJordmagrave H JUO^ H [WNih^Y s ^curreniquestYZQcO[frac34admacrjiexclNPO^JOQ H Qc[]OYadmacr e macrS]jeWFJ[PJ H aringfcQZUcedil iacute Otilde aacute sup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j $

aacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ uuml times a $ szliglOuml times j frac12sup1a $ j $fcQZUcedil iacute Otilde cent aacute uuml]timesa $ szliglOumlcopytimesdj^QVUKafrac34frac12 j $

O^ Y[Xiacute[Ph H MeJgNtildejfRJLhQsNPO ^eJLhQVUiN H QVUPJSeWFJgO^Oaring ocirc|adOuml times szlig_frac12jumlaacuteyacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ amacrreguumlStimesYa $ szliglOumlcopytimes)j frac12sup1a $ j7 uuml]timesYa $ szliglOumlcopytimes)j^QVUKafrac34frac12sup1a $ jjj $aacute uumlnotraquotimes a $ szliglOuml times szlig_frac12j $ ^QVUKaduuml times frac12j $ ad j

MeJUO NiKKfVmWQcO[ H MJ hJLJUOWVAQRJZ NPOO H MeJL[PhZJZQcO ad jeWNtildeJ5ONPfcfmtimes[Pcent H NPQcOOaring ocirc|adOumlcopytimesszlig_frac12jOcircaacute uuml raquotimes a $ szliglOumlcopytimesUcircszlig_frac12j $ uacutefrac14 5 uuml]timesYafrac34frac12 eacuteAgraveiquestsup1AacuteAtildeAcircj THORN adS]jWMJLhZJ5eacuteAgraveiquestsup1AacuteAtildeAcircyQcY H MeJUacutejOQ H QcOOgraveWNih^ Oe[PhlZaringNPf H [ aelig OumlcopytimesUcirc^MeJ_NtildejfRJLhQcNPO ^eJLhQVUiN H QVUPJQcY(O[ H JU^ ocirc raquo aagravej(QcO H MeJaumlKNiKEgraveJLhNPO^ H MeJaumlYZMNiKEgraveJauml^eJLhQU~N H QVUPJyuuml raquotimes QcY(Oe[ H JU^ frac14 frac14 ^iquest acutemicrosup1cedilFLft not [PhyYQZOslashKfcQsbLQ H mSeWNtildeJ(bM[[]YJ H MeJcopyXiacute[]fcfR[WQcO[_U~NihQsN H QR[]OaeligQcO H MeJKhZ[B[SXaring$ aagravejaacute $ agrave3frac12sup1a $ j^MJiexclKh[[SXZaringNm NPfcYZ[IacutecentEgraveJiexcl^JUPJUfR[PKEgraveJU^WiexclQ H MZaring[PhZJ_[PJUOJLhNPfUiNihQcN H QR[]OYFYjbM NPYaring $ aagravejaacuteAacuteAgravea $ szligYagravejWQ H MAcircAgrave`NOslashYYZOslash[B[ H MXiacutejOb H QR[]ONPO^AcircAgravea szligYagravejcentQ ~5JUb H QVUPJS^

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ ffrac12OcircacuteIshyNT AcircE J(MNUPJ H [Otildebn[]ZOslashK-j H J H MJNtilde^QEgraveJLhZJUO HH JLhZaringY9[SXQa macr]j9QsOauml[Ph^eJLh H [Uacute[Pcent H NPQcO H MeJ

JUP[]fcj H QR[]OJBjN H QR[]O[SX H MeJ NPb H QUPJ bn[]O H []jehX[Ph H MeJ ^JUYZbnhQRK H [PhdYaumlcentNPYJU^Oacute[]OH MeJ(bn[U~NihQsNPObnJ ZaringN H hQVktimes^eJ H JLhlZ QcONPO H a2Ograveh]j^OgraveMeJ(bn[]ZOslashKj H N H QR[]OaringQcYampKEgraveJLhYXiacute[PhlZOslashJU^Xiacute[Ph H MeJIacute^eJUYZbnhQRK H [Ph_uuml thorn timesOslash yuml ^ q centUWQR[]jYZfmSeN YZQZ QcfcNihbn[]ZOslashKj H N H QR[]OabLNPOacent=JIacute^e[]OeJXiacute[PhOcircuuml thorn UgraveUcircUacuteUuml yuml ^ JiexclbLNPOaeligJkBKhJUYZYOcircuuml thorn timesOslash yuml NPYyNUacutebn[]ZTcent-QcON H QR[]Oaelig[SXgtXiacutejOb H QR[]OYamp^eJLKEgraveJUO^QcOF[[]O H MJOtildehZJ[]QR[]OwOuml timesOslash aring

uumlgtthorn times Oslash yuml a2atildeltszligaumlgtszligYagravejaacute`Ograveoacute m thorn timesOslash yumlaIgraveagrave thorn timesOslash yumlAtilde j cent ocirc adjWMJLhZJordmaacuteAuml85eWiexclQ H MAring8 H MeJordfXqjOb H Qc[]O QcO H h[B^jbnJU^ QcOpounda2Ograveh]je-NPO^aringm thorn timesOslash yuml aacute agrave thorn timesOslash yuml agrave thorn timesOslash yumlcent agrave thorn timesOslash yuml agrave thorn timesOslash yumlAElig agrave thorn times Oslash yumlCcedil agrave thorn timesOslash yumlEgrave agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlEgrave j cent agrave thorn times Oslash yumlcent aIgraveagrave thorn timesOslash yumlCcedil j cent agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlAElig j centWQ H MOaring EFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFH

agrave thorn timesOslash yuml aacute w$ thorn yuml aOtilde S times Oslash j cent atilde aumlagrave thorn timesOslash yumlcent aacute w$ thorn yuml aOtildeOgravecent Scenttimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yuml aacute w$ thorn yuml aOtildeS Stimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yumlAElig aacute w$ thorn yuml aOtilde S times Oslash jaOtildeOgravecent ScenttimesOslash j atilde aumlagrave thorn timesOslash yumlCcedil aacute w$ thorn yuml aOtilde S times Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlEgrave aacute w$ thorn yuml aOtilde cent S centtimes Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlAtilde aacute w$ thorn yuml atilde auml O^ Y[ H MJordfXiacutejOb H QR[]OY aelig thorn timesOslash yumlauml MNUPJ H MeJgXiacute[]fcfR[WiexclQcO[aeligJkBKhZJUYZYZQR[]OYaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

aelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlcent aacute aOtilde cent S centtimesOslash j centaelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlAElig aacute aOtilde S timesOslash jaOtilde cent S centtimesOslash jaelig thorn times Oslash yumlCcedil aacute aOtilde S timesOslash jaOtilde S timesOslash jaelig thorn times Oslash yumlEgrave aacute aOtildeOgravecent ScenttimesOslash jaOtilde13 StimesOslash jaelig thorn times Oslash yumlAtilde aacutemiddotf

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBnot h[]Z H MeJUYJaumlJkWKhZJUYYZQR[]OYeWFJOtildeJUNPYZQcfm ^eJU^jbnJ H MN H aring

$ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde aumlregaacute sEacutefrac12poundEcirc iuml

J H MeJUO MNUPJ H [Tbn[]ZaringKj H J H MeJ H JLhlZaringY eacute thorn times Oslash yumlauml XiacutehZ[]Z H MeJJkWKhZJUYZYQR[]OYamp[SXagrave thorn timesOslash yumlauml eWMQcbM fRJUNP^Y H [aringEFFFFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFFFFH

eacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideoslash aacute w$ thorn yuml uacute ouml $ordfdivideacirc uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIgrave yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H a timesOslash jjeacute thorn timesOslash yumlcent aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideacirc

aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIcirc yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideEuml aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideacirc thorn thorn uacute ouml $_divideIuml yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yumlAElig aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIuml aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideEuml uacute ouml $ordfdivideIuml thorn uacute ouml $_divideIcirc uacute ouml $ordfdivideIgrave yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlCcedil aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIcirc aacute w$ thorn yuml cent thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideacirc uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlEgrave aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIgrave aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideoslash uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlAtilde aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIacute aacute w$ thorn yuml thorn +ETH ouml $_dividethorn uacute ouml $ordfdivideIacute yuml Iuml 8 raquo aq^J H a timesOslash jj

O^centmJkWKhZJUYZYZQsO[ H MeJbn[UiNihQcNPObnJZaringN H hQVkpoundWQ H M H MJregXqjOb H QR[]OYagrave thorn timesOslash yumlauml NPYXiacute[]fcfR[WQcO[aring

timesOslashlaquoaacute 1NtildeNtildeNtildeNtildeNtildeNtilde3uacute ouml $ordfdivideoslashuacute ouml $ordfdivideIacute uacute ouml $_divideIumluacute ouml $_divideIacute uacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIumluacute ouml $ordfdivideIacute uacute ouml $_divideacircuacute ouml $_divideIacute uacute ouml $ordfdivideIgraveuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacute uacute ouml $_divideIgraveuacute ouml $_divideIacute uacute ouml $ordfdivideEumluacute ouml $ordfdivideIacute

6OgraveOgraveOgraveOgraveOgraveOgrave7 J H MJUO^eJU^jbnJSaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

eacute thorn times Oslash yuml aacute a fj thorn yuml ^eJ H aDC Ptimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlcent aacute a fj thorn centcent yuml ^eJ H aDC centcenttimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yuml aacute a fj thorn curren yuml ^eJ H aDC 4times Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlAElig aacute a fj thorn cent yuml ^eJ H aDC centtimes Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlCcedil aacute a fj thorn curren yuml ^eJ H aDC times Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlEgrave aacute a fj thorn centcurren yuml ^eJ H aDCcent4times Oslash j48 raquo aq^eJ H a timesOslash jjeacute thorn times Oslash yumlAtilde aacute amp^eJ H a timesOslash j48 raquo aq^eJ H a timesOslash jj

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ SWMJLhZJC EBtimesOslash QcY H MeJgZaringN H hdQk ^eJU^jbnJU^Xh[]ZOacutetimesOslasharingcentm YZjeKKhZJUYZYZQcOF[ H MeJyuuml UumlON hZ[WNPO^ H MJ I UumlON bn[]fcjFZaringOO^]MeJbn[]ZOslashKj H N H Qc[]OordmX[Ph H MeJ^eJUYZbnhdQRK H [Ph|uuml thorn UgraveUcircUacuteUuml yuml QcYyYQZaringQcfcNihNPO^WFJ H MeJUOOslashMNUPJNPfcf H MeJ(JkWKhZJUYZYZQc[]OY H [aumlbn[]ZOslashKj H J H MeJJUP[]fcj H QR[]OaeligJjN H QR[]OXiacutehZ[]Z H MeJg[PJUOJLhNPfOXiacute[PhlZIacutejfcNta macr]j^gtMQcYcopy[]QVUPJUY H MeJTJUP[]fcj H QR[]O JBjN H QR[]Osup1admacr s j^

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBΩ out

Objects

Γ

inΩ

inΩ

Background Part

-t not Upv copy ETHEgraveIcircAtildeampAacuteiacuteCcedil=AumlFcedilAtilde5ordm|sup1Aumldraquo~AElig9AumldOgravefrac14raquoUacutesup1Igravefrac14dordm|Atilde

Ω

Ω out (τ)Ω

(τ)in

N

Γ(τ)

Ω

N

v

w

N

-t not Upv ETHEgraveIcircAtildeyEcircAumldIgravefrac14dsup1raquo~AEliggfrac14raquoiEcircAacuteIcircAtilde$AcircnAtilde5AgraveAacuteAumlcedilAEliggsup1raquoUAcircnAumldfrac12AcircnAtildeEcircsup1raquoiexclAacuteIcirc~Atilde$EcircAtildecedilsup1Acirc|frac14ZAacutesup1Aumldraquo

uumlnyacutenthornnyumll13YSordmY_F2ordf

yenKbrvbarsect =4 acirc $ Smacr

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 Atilde|IumligraveAacuteAtildecedil4frac14ZAacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvyzU eacuteWsup1ordm|AringcedilAtilde5AEligfrac14iquest Eacuteiquest AgraveJ]iUumlAcircnAumldfrac12AringAacutesup1Auml|raquoOtildeAumlOgraveeAacuteIcirc~Atildeyfrac14dAgrave Aacutesup1Acirc|Atilde0AgraveAuml|raquoLAacuteAuml|AringcedilIgravefrac14raquoifrac14ordm|AtildeEcircUacuteEacuteLfrac34AacuteIcirc~AtildefTHORN$Uuml v qzqwsup1raquo~Agrave5frac12AringiEcircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquoifrac14frac12ampAacuteAtildecedilIgrave(AElig5IumlgeacuteWsup1ordm|AringcedilAtilde5AEligOtildeEcirc]iquest Atildediquest Ograve] g sup1AEligwAringifrac14frac12sup1Ocirc5frac14Aacutesup1Auml|raquo`AumldOgrave0AacuteIcirc~AtildeTAgrave5AumldcedilwcedilAtilde5AEligwOumlPAumldraquoiEcircsup1raquoordmAcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 OgraveuAring~raquoAgraveAacutesup1Auml|raquosup1raquo~Agrave5frac12Aring~Ecircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquo~frac14dfrac12ampAacuteAtildecedilIgrave(AEligraquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirc EacutePAtildeAacuteiacuteCcedil=Atilde5Atilde5raquo ugrave frac14draquoiEcirc divide JUiquestAEligwAring~Agrave4IcircTAacuteIcirc~frac14Aacute$AacuteIcircAtilderaquo~Atilde5ordm|frac14Aacutesup1AcircnAtildeAcircdfrac14dfrac12AringAtilde5AElig0frac14cedilAtildefrac12AumlCcedilEgraveAtildecedilyAacuteIcirc~frac14draquo uacutedivide Uacutefrac14raquoiEcircaumlAacuteIcirc~AtildeOumlPAumldAEligwsup1Aacutesup1AcircnAtilde(Aumldraquo~Atilde5AEligyfrac14ZcedilAtilde(Icirc~sup1ordm|IcircAtildecedilAacuteIcircifrac14raquo uacuteZdivide Iuml

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

Ecirc]Iumligraveraquo~sup1currenAacutesup1frac14dfrac12BAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 Atilde|IumligraveAacuteAtilde cedil4frac14Aacutesup1Auml|raquo ugravedugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not Upv ucirc eacuteWsup1ordmdAringcedilAtilde5AEligtimesfrac14iquest Eacuteiquest AgraveJ]ampUumlAcirc|Auml|frac12AringAacutesup1Auml|raquoAumlOgrave(AacuteIcirc~Atildearingfrac14AgraveAacutesup1AcircnAtildeOslashAgrave5Auml|raquoLAacuteAumldAringcedilIacuteIgravefrac14draquoifrac14ordm|AtildeEcirc`EacuteUfrac34AacuteIcircAtildeOcircfTHORN$Uumlv q w iquestiexclCcedilgsup1currenAacuteIcirc~AumldAringAacuteAacuteIcirc~Atildefrac14dEcirc~Ecircsup1Aacutesup1Aumldraquoifrac14dfrac12TAacuteAtildecedilIgrave(AElig5IumliexcleacuteWsup1ordm|AringcedilAtildeAElig Ecirc]iquest Atildediquest Ograve] g sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo AumlOgraveaeligAacuteIcirc~AtildeAgraveAumldcedilwcedilAtildeEumlAEligwOumlPAuml|raquo~Ecircsup1raquo~ordm AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 OgraveregAring~raquo~Agrave Aacutesup1AumldraquoeumlCcedilgsup1currenAacuteIcirc~Auml|AringAacuteIacuteAacuteIcircAtilde frac14|Ecirc~Ecircsup1currenAacutesup1Aumldraquoifrac14frac12FAacuteAtildecedilIgrave(AElig v raquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirceumlAEligwAring~Agrave4Icirc AacuteIcirc~frac14AacuteIgravefrac14icirc vOOtilde wpOumldivide z w Iuml

uumlnyacutenthornnyumll13YSordmY_F2

S $amp)(+-)013021+345627893lt=gt9A6CB

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIumligravesAacuteAtildecedil4frac14Aacutesup1Aumldraquogt ugrave|ugrave AgravedIumlieacuteWsup1raquoifrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12Acirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 AtildedIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIumlieacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvtimesLg sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo(AumldOgravePAacuteIcirc~AtildeAtildeAcircnAuml|frac12AringAacutesup1AumldraquoAumldOgravePAacuteIcircAtildeEgraveAgrave5Auml|raquoLAacuteAumldAringcedil-frac14draquo~EcircNtildeAacuteIcirc~AtildeEgraveAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 v Ccedilgsup1AacuteIcircAuml|AringAacuteAacuteIcircAtildeEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircFAacuteAtilde cedilIgrave w OgraveregAumldcedilEgraveAacuteIcircAtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoAumlOgraveAacuteIcircAtilde9Ograveufrac14dAgrave5AtildeAring~AEligwsup1raquo~ordmyAacuteIcirc~Atilde9Agrave5AumlZAcirc|frac14Zcedilsup1frac14draquo~AgraveAtildeIgravefrac14Aacutewcedilsup1currenicirc]Iuml

frac14Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcircnAtilde EacuteIumligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 v AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde w Agrave|Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacutefrac34 v Acircdfrac14cedilsup1frac14draquoAgrave5Atilde w-t not Upv h=AumldIgrave(Oumlifrac14cedilsup1AEligwAumldraquoOtildeAumldOgraveAacuteIcirc~Atilde$sup1raquo~sup1currenAacutesup1frac14dfrac12eAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34iexclAgrave5Auml|Igrave(OumlAringAacuteAtildeEcircAringAEligwsup1raquo~ordmAacuteIcirc~Atilde$AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde0Igravefrac14Aacutewcedilsup1currenicircv iordmdAringcedilAtildeFEacute w AacuteAumliexclAacuteIcircAtildeAuml|raquoAtildeFAgrave5AumldIgrave(Ouml~AringAacuteAtildeEcircTAringAEligwsup1raquo~ordmiexclAacuteIcircAtildeFAcircdfrac14cedilsup1frac14draquoAgrave5Atilde v ~ordm|AringcedilAtildeFAgrave w OgraveregcedilAumldIgrave AacuteIcirc~AtildeNtildeAEligfrac14dIgrave(Atildesup1raquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcirc|Atilde v iordmdAringcedilAtilde$frac14 w Iuml

uumlnyacutenthornnyumll13YSordmY_F2_a

yenKbrvbarsect =4 acirc $ ]z

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv Oslash| THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5AtildeccediliacuteAtildecedilsup1UgraveUegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_o

Si $amp)(+-)013021+345627893lt=gt9A6CB

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv ordf THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5Atildeccedilqfrac14dUgraveUsup1currenfrac34LAumldegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_y

RR-0114-SJEHANpdf
  • wwwi3sunicefr
    • httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf
Page 31: LABORATOIRE INFORMATIQUE, SIGNAUX ET SYSTEMES DE …mh/RR/2001/liste-2001.pdf · 2002. 6. 27. · [Dir01] DIRAT L. “Outils pour des Mathématiques Interactives et Distribuées”

yenKbrvbarsect =4 acirc $ fMJiexclYZQcOF[]fRJiexclK-NihNSZOslashJ H JLhcopyWNtildeJOtildeOeJLJU^ H [aringNP^~ZjY H QcY H MeJUacuteYYZOslash[B[ H MQcO[timesKNihNSZOslashJ H JLhb^5OregXqNPb H e H MeJ X [W ethb MNPY H MeJiexclKhZ[PKEgraveJLh H QRJUYNtilde[SXYYZOslash[B[ H MQcOF[IacutecentEgraveJUbLNPjYJOtildeQ H ZOslash[UPJUYH MeJUacutebLjehYUPJUacuteQcO H MeJUacute^QRhZJUb H QR[]O [SX9Q H YfRJUOF[ H MregXqjOb H QR[]ONPfQa G Qs^^QBQeJ H NPfd^VeOfhShS]j^^ ^~IacuteEacuteltEgraveETHOgraveNtildeltOacute=KIgravefrac34Eacute10frac34ETH9Igrave Ntilde8182ETHEacuteshyOacuteNtildeshyEumlETHIgraveFEgraveOIacute5Icirc5O[Ph^JLh H [7JU~NPfcjN H J H MeJ QZOslashKEgrave[Ph H NPObnJ`[SX H MeJ`NP^^Q H QR[]ONPf H JLhlZaringYX[Ph H MeJYJ[]ZaringJUO H N H QR[]OeuWNtildeJpoundZaringN`PJ H MJeumlNPb H QUPJbn[]O H []jehaJUP[]fVUPJ H MehZ[]j[]M H MJ iexcla2SjeQsObLfcj^QsO[ H MeJaumlNP^^Q H QR[]ONPf H JLhlZaringY^ q O H MeJUacute[ H MeJLhMNPO^OeWNtildeJaumlNPfcYZ[ZaringN`PJQ H JUP[]fUPJfrac34WQ H M H MeJwXiacute[]fcfR[WQcO[ WhZ[]OF[JUP[]fcj H QR[]OJjN H Qc[]O H MN H ^e[JUY Oe[ HQcObLfcj^eJ H MeJaumlNP^^Q H QR[]ONPf H JLhlZaringYaringaelig Yacuteaagravejaelig agrave aacuteethntildeaLu centtimesOslash j ntildeaLu centUgraveUcircUacuteUuml j`b Qeacute iuml a2Ogravemacr]jnot [Ph H MeJOtildeJkWKEgraveJLhQZOslashJUO H YeWFJ H N`PJntildeaOgravejOcircaacute ILK KafcediliexclOgravejWMQsbM[]QVUPJUYntilde raquo aOgravejaacutefdOafcedil]j(NPO^ H MeJgUiNPfcjeJOtilde[SX H MeJaumlKNihdNSZOslashJ H JLhEacutebaQcY(YJ HH [frac34f s ^OcirckBKEgraveJLhQCZOslashJUO H Y NihZJ KEgraveJLhYX[PhZOslashJU^ []O NYmWO H MJ H Qcb`QCZaringN[PJumlZaringNP^eJeumljeK [SXTNPO

Me[]Zaring[S[PJUOeJL[]jYYYBjNihZJ[SX9QcO H JUOYZQ H mwf s []O NIacutecentNPbl`[PhZ[]jO^ [SX9QcO H JUOYZQ H mtf s ^ []NPjYZYZQsNPOOe[]QcYJUacute[SXUiNihQcNPObnJ s QcY(NP^^eJU^ H [ H MQcY(YmWO H MJ H QcbOtildeQZaringN[PJS^MeJOtildeJUP[]fcj H QR[]Oa[SX H MeJTNPb H QVUPJtimesbn[]O H []jehUacute^ehQUPJUOcentmpounda2SjQcYu[]QVUPJUO`QcO not QV[^ WMQcfRJ H MeJ[]OeJ`[Pcent H NPQcOeJU^ jYZQcO[ a2Ogravemacr]j QcYordm[]QUPJUO QcO not QV[^ ^ J bLNPO hZJZaringNihY`H MN H WMeJUO H MeJoiexclQsObLfcj^eJUY H MJ NP^^Q H QR[]ONPf H JLhZaringYe H MJ YYBjNihZJ QcYgWFJUfcfYJ[]ZaringJUO H JU^acirca not QV[^ ^bjeuWMeJLhJUNPYWiexclMeJUO H MeJ |iexclD^e[BJUY Oe[ H QsObLfcj^eJ H MeJUYJNP^^Q H QR[]ONPf H JLhZaringYwWFJ7[Pcent H NPQcO N bLQRhbLfcJOacuteQcOY H JUNP^ [SX H MeJ7JkBKEgraveJUb H JU^YYBjNihZJa not QV[^ ^bj^MeJUYJhZJUYZjf H YNtildebLNPOcentEgraveJcentEgraveJ HH JLh(jO^eJLhY H [[W^WMQcfRJNPONPfmcurrenUQcOF[ H MeJiexclUPJUfR[WbLQ H mUPJUb H [PhYUacute[SXNtildeJUNPbMJUP[]fsj H QR[]O JjN H QR[]OO^ Jaringbn[]ZOslashKNihZJ H MeJ H WF[ JUP[]fcj H QR[]OYiexcl[SXH MeJlaquoUPJUfR[WbLQ H mwUPJUb H [PhYauml^jehQcO[ H MeJaeligKhZ[PKN[]N H Qc[]Oeuml[SX H MeJOslashbLjehYUPJwa2WiexclQ H Me[]j HH MeJcentEgrave[]jO^NihYmVcent-NPYJU^ H JLhlZb j^MeJ(JUP[]fcj H Qc[]OOslash[SX H MeJNSZOslashKfsQ H j^eJ[SX H MeJyacuteUPJUfR[Wb|VQ H mregUPJUb H [Ph[SXQ|iexcla2SjFQsY[]QUPJUO QcO not Q[aqYj^ ^ ^OecurrenJSe Xfrac34]eWMQsfRJ H MeJOtildeNSZOslashK-fcQ H j^eJ[SX H MeJUPJUfR[WbLQ H mwUPJUb H [PhOtilde[SX||iexclacirca2Ogravemacr]jiexclQcY []QUPJUO`QcO not QV[aqYj^ ^ ^OecurrenJSe Xfrac34]^ JOslashbLNPO[PcentYZJLhYUPJ H MN HaringH MeJUPJUfc[BbLQ H msup1WiexclQ H Me[]j HaeligH MeJNP^^Q H QR[]ONPf H JLhlZaringY QcYaeligNbn[]OY H NPO HWMJLhZJ [PcentUWQR[]jYfVm H MJaQZaringN[PJfrac34XJUN H jehJUY ^e[OacuteO[ H NiKKEgraveJUNih^ q O H MeJabn[]O H hNihYmH MeJaumlQCZaringN[PJordfXJUN H jhZJUYuWFJUfcfNiKKEgraveJUNihQcO H MeJordfUPJUfR[WbLQ H m QcObLfcj^QcOF[ H MeJaumlNP^^Q H QR[]ONPfH JLhlZ Yya not QV[aqYj^ ^ ^OecurrenJSe Xfrac34jiexclNPO^ Y[ H MeJaumlYljNihJTbLNPO centEgraveJordfWNtildeJUfsfYJ[]ZOslashJUO H JU^O^MeJyKhZJUWQR[]jYEgravehJUYZjf H YgYMe[W H MN H Q H QcY[SXeKhQCZOslashJ$OeJUbnJUYZYZQ H m H [ H N`PJQcO H [NPb|Vbn[]jO H0H MJNP^^Q H QR[]ONPf H JLhZaringYeWbn[]ZaringQcO[XhZ[]Z hZJ[]QR[]OeV4^eJLKEgraveJUO^eJUO H ^eJUYZbnhQcK H [PhYeQcO[Phd^eJLh H [ hZJUNPbdMaN H hdjeJgZaringQcOQCZIacutejFZ [SX H MeJaumlbnhQ H JLhdQR[]OO^

uumlnyacutenthornnyumll13YSordmY_F

S $amp)(+-)013021+345627893lt=gt9A6CBEIumlparaacuteAgravegtmicrosup1acuteIKJcedilJT2MgtI MraquoordfAEligMgtsup32MLwMKmicrobMgtAgraveacuteIshyacuteMgtPltAtilde iquest acuteAgraveKT13MKIshyAtildeAcirclaquocedilFAtildeacuteNicircMKIJfrac14ltacutepoundAEligMAringcedilFLT2cedilIltR]acuteHcedilJLTOcircfrac12sup3T13ROgravecedilJT2MgtI JMAgraverltcedilFR]acuteacuteJacuteR]JT2MgtIicircT2ItT2NQacuteM paraacutePshyacuteIltR]acuteAtildeMQcY0K-Nih H ^eJUNPfcYWQ H M H MeJOtildeYJ[]ZOslashJUO H N H QR[]O [SXMe[]ZOslash[S[PJUOeJL[]jY(hZJ[]QR[]OYQcOZtimesjfuVH QcYZK=JUb H hdNPfQZaringN[PJUY^ YNPOaJkWNSZaringKfRJSeWFJIacuteYZMe[W H MN HiexclH MeJTbn[UiNihQcNPObnJZaringN H hQVkbLNPOacent=JIacuteNUPJLhYm KEgrave[WFJLhYXqjf H [B[]f H [ YJ[]ZOslashJUO H Me[]Zaring[S[PJUOeJL[]jYbn[]fR[PhiexclhJ[]QR[]OY^F5OXqNPb H e H MeJtimes^eJ H JLhlZaringQsONPO H [SX H MeJTbn[U~NihQsNPObnJZ N H hQkKhZ[UPJUY H [ centEgraveJIacuteNaringhJUfRJU~NPO Hbn[]fR[PhaelighZJ[]Qc[]O7M[]ZOslash[S[PJUOeJUQ H msup1ZOslashJUNPYZjhZJZOslashJUO H a G NPO[SWQcOeJ NPO^r[PhdOeJSeufhShSi]j^_`QcOQZ QVcurrenUQcO[ H MQcYjNPO H Q H m ZOslashJUNPOY H MN H WFJwWNPO HH [^eJUbnhZJUNPYJ H MeJeumlbn[]ZaeligVKfcJkWQ H m[SXUacuteNeumlhZJ[]QR[]Oa hdNmJ H NPfd^Ve sSs fampN H JUjke sSsSs j^MQcY H [B[]fuZaringNmKhdNPb H QcbLNPfcfVm cent=JaumljYJU^X[Ph XiacuteNPbnJtimes^eJ H JUb H QR[]OaQsO QZaringN[PJaumlYJBjeJUObnJUY^macr^f^laquoIgraveIcirc=KEgrave(FETHOEacuteltEgraveIcircEcircgtNtildeltIcircIgrave8 EacuteshyOacute ETH9IgraveAgrave=Eacute3+NtildeshyEgrave13NtildeshyOacute=KIgravefrac34Iacute_NtildeFETHEgraveEcirc20EacuteshyEgrave=EacuteshyEumlEacuteshyEgrave2Iacute Ntilde4ltIgraveIcircMJQcO H JUOYZQ H mxXiacute[Ph bn[]fR[Ph QCZaringN[PJUYaringQcYOslashhJLKhZJUYJUO H JU^centm7NpoundXiacutejOb H QR[]OOtildeegravearingOumlOtilde 13ordfcent ntilde Otilde 13 WMeJLhZJ Otilde aacute Otilde szligYOtildeOgravecentszligYOtilde13ordf ^iexclXm NPONPfR[S[SmAumlWQ H M H MeJOacuteY H j^Fm Xiacute[Ph[PhZJmWYZbLNPfRJFQZaringN[PJUYeWNtildeJZaringQcOQCZaringQVcurrenLJ H MeJNtilde^J H JLhlZaringQcONPO H [SX H MeJFbn[UiNihQcNPObnJcopyZaringN H hQVk[SX H MeJTbn[]OYQc^eJLhZJU^hZJ[]Qc[]OY^ J5ZaringNmaringNPYYZjFZOslashJ H MN H JUNPbdM bn[]fR[PhFhZJ[]QR[]Oacute13 QsYOcircZOslash[W^eJUfcfRJU^OslashcentmOslashNg[]NPjYYZQcNPO^QsY H hQRcentj H QR[]Oeuml[SXyacuteZOslashJUNPOiexclSegraveaacute S szligPS cent szligPS NPO^7bn[UiNihQcNPObnJZ N H hQk5^MeJKh[PcentNicentQcfcQ H maring^eJUOYQ H moXiacutejOb H QR[]O QcYu[]QUPJUO centm H MeJgXiacute[]fcfR[WQcO[aeligJkWKhZJUYZYQR[]OOaring

$ampamp aOtildejOcircaacute fa )( j +cent aq^J H ayacutejj cent JkWK- f aOtilde Sltj thorn aOtilde Sltj a2Ograve]jG [eZaringQcOQZaringQVcurrenUQcOF[ H MJbn[U~NihdQcNPObnJuZaringN H hQktimes^eJ H JLhlZaringQcONPO H [SX-NPOtimesJUP[]fVUWQcO[hJ[]QR[]ONiKKEgraveJUNihY H [OslashcentEgraveJNtimeshZJUfcJU~NPO HH [[]f H [ordmZaringN`PJ H MQcYFhZJ[]Qc[]O bn[]OUPJLhY[PJ H [WFNih^Y H MeJbLfR[]YZJUY H Me[]ZOslash[S[PJUOeJL[]jYbn[]fR[PhiexclhZJ[]QR[]OO^9J H jY$Oe[ H J timesOslash NPO^0copyUgraveUcircUacuteUuml H MJbn[UiNihQcNPObnJ5ZaringN H hQcbnJUYy[SX=hJUYKEgraveJUb H QVUPJUfVmordmOuml timesOslash aagravejNPO^tOuml UgraveUacuteUuml aagravejaring

atilde aacute213 u Patilde u centatilde u atildeu cent atilde u centcentatilde u cent4atildeu5 atilde u5centatilde u54atilde67 a2zSj

WMJLhZJSaringEFFG FFH u times aumlatilde aacute iacutefaring w aring thorn yuml aOtilde times S times atilde jaOtilde auml S auml atilde j atilde aumlS times atilde aacute iacutefaring w aring thorn yuml Otilde times a2atildeltszligaumlj atilde auml WQ H M aacuteiVIgraveOacute[Ph Kf5

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ J [PcentUWQR[]jYZfm`MNUPJacuteu times aumlatilde aacuteu auml timesatilde ^shy9J H jYaumlO[ H J ^eJ H a atilde j H MJ ^eJ H JLhlZaringQsONPO H [SXH MeJaumlbn[U~NihdQcNPObnJZ N H hQkWiexclMQcbMJkBKhJUYZYZQR[]O QcY H MJgX[]fsfR[WQsO[aring

^eJ H a atilde jumlaacute u Patilde u centcentatilde u 4atilde u centatilde u atilde u cent4atilde u Patilde u cent4atilde u cent4atilde u centcentatilde u atilde u atilde u 4atilde u centatilde u centatilde a2Ogravei]jnot jOb H QR[]OY [SX H MeJeumlbn[UiNihQcNPObnJpoundZaringN H hQk ^eJ H JLhZaringQcONPO H YNihZJ jYJU^ NPY hJ[]QR[]O^eJUYbnhQRK H [PhY^ JIacutebMe[B[]YJ H MJordfX[]fcfc[WQcOF[aeligYZJ H [SX$^eJUYZbnhQRK H [PhYaringEFG FH uuml thorn UgraveUcircUacuteUuml yuml aacute98ordfaq^eJ H acopyUgraveUcircUacuteUumlAjjuuml thorn timesOslash yuml aacute98ordfaq^eJ H a timesOslash jjuuml thorn otilde)yuml aacuteOslashb a2Ograveh]jWMJLhZJ8ordfaOgravejFQcYNOslashKEgrave[]YZQ H QVUPJiexclXiacutejOb H QR[]O [SXampbLfcNPYZYograve aOtilde 13yjFNPO^Cb`NOslashKEgrave[]YZQ H QVUPJOtildebn[]OWVY H NPO H ^gJ H jYNtildeOe[W WhQ H J H MeJJUP[]fcj H Qc[]OaringJBjN H QR[]O [SX H MeJiexclNPb H QUPJbn[]O H []jehcentmbn[]ZOslashK-j H QcO[ H MJIacute^QEgraveJLhZJUO HH JLhlZaringYiexcl[SX_a j^J H NPQcfcYiexcl[SX H MeJIacutebn[]ZaringKj H N H QR[]O bLNPOcentEgraveJgXiacute[]jO^QsOaNiKKEgraveJUO^QVk X5^gtMJaumlJUP[]fcj H QR[]O`JBjN H QR[]O[SX H MJIacuteNPb H QVUPJaeligbn[]O H []jhQcY H MJgX[]fsfR[WQsO[aringaelig Yacuteaagravejaelig agrave aacute8gaq^eJ H atimesOslashjj 8ordfaq^eJ H a UgraveUcircUacuteUuml jj`b admacr s jlt8Icircraquodaq^eJ H a times Oslash jgt= ccedil A B egrave aOtilde S timesOslash jaOtilde B5 S BtimesOslash jB^eJ H aDC EBtimesOslash ja fj BGFH amp^eJ H atimesOslashj48 raquo aq^eJ H atimesOslashjj 8Icircraquodaq^eJ H a UgraveUacuteUuml jgt= ccedil I B egrave aOtilde Eacute S UgraveUcircUacuteUuml jaOtilde B S BUgraveUcircUacuteUuml jB^eJ H aDC JBUgraveUacuteUuml ja fj BKFH amp^eJ H a UgraveUcircUacuteUuml j48 raquo aq^eJ H a UgraveUcircUacuteUuml jjcedil13eacuteMJZaringN H hdQkLC JBatilde QsY ^JU^jbnJU^icircXh[]Z H MJeumlbn[U~NihdQcNPObnJbZaringN H hdQkM atilde centm YZjeKeVKhJUYZYZQcO[ H MeJ uuml UumlON hZ[WENPO^ H MeJ I UumlON bn[]fcjFZaringO^MeJeumlfcNPY H Xiacute[]jeh fsQcOeJUY [SX H MeJJBjN H QR[]ONihZJ H MeJOtildeNP^^Q H QR[]ONPf H JLhZaringY(bn[]ZaringQcO[XiacutehZ[]Z H MeJiexclU~NihQsN H QR[]O [SX H MeJOtilde^eJnVYZbnhdQRK H [PhYWiexclQ H Mordmagrave^ Y0Q H MNPYycentEgraveJLJUOOslashKhJUBQR[]jYZfVmTKhZ[UPJU^X[Ph[PhZJmWYZbLNPfRJiexclQCZaringN[PJUYeH MeJUYZJ H JLhlZaringYMNUPJ H [ cent=Jaumlbn[]OYZQc^eJLhZJU^ QsO[Ph^eJLh H [regZ N`PJ H MeJTNPb H QUPJTbn[]O H []jhbn[]OUPJLhY[PJ H [WFNihd^YNZ QcOQZtimesjFZ [SX H MJTbnhQ H JLhQc[]OO^macr^ ^~THORNUgrave2FIgraveFEgrave2Iacute_IgraveFOacuteshyETHOgraveNtildeshyEumlEgraveOIgraveIcircdEumlETHOIcircnot [Ph H MJ JkWKEgraveJLhQZOslashJUO H YeQWNtildeJ H N`PJCntildea]jordmaacute ILK Kaf[]jgWMQsbMsup1[]QVUPJUYnntilde raquo aOgravejaacutefdOafWOgravej(NPO^8ordfaOgravejaacute ILK KafIcirch cent juWMQcbdMt[]QVUPJUY8 raquo aOgravejaacute ETHOafIcirch cent j^ JbdMe[[]YZJ bbaacute f s ^QMeJaringbn[]fR[PhtimesYKNPbnJ YJUfcJUb H JU^QcYaQPszlig l szligicirclaquojeltWMeJLhZJwaOtilde aacuteRPordmjhZJLKhZJUYJUO H Y H MeJfsjFZaringQcONPObnJNPO^waOtildeOgravecent5aacute l j$NPO^frac34aOtildeS aacuteOslashicircj$hZJLKhZJUYJUO HyH MeJ H WF[bdMehZ[]ZaringQcONPObnJUY^ not [Ph H MeJbn[]ZaringKj H N H QR[]OOslash[SX H MeJuUiNihQcNPObnJSei[]Ofm H MeJfcjZaringQcONPObnJQcY(jYJU^O^

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CB5Oaring[Phd^eJLh H [aeligYJ[]ZOslashJUO H NPO Me[]ZOslash[S[PJUOJL[]jY0hJ[]QR[]OOeOgraveWFJiexclY H Nih H WQ H M NPO QcOQ H QcNPf

bLjehlUPJ0QcOYZQs^eJ H MJ0hZJ[]QR[]Oauml[SXWQsO H JLhZJUY H ^MeJybLjhYUPJ0QcY H MJUOTYZjeKK=[]YZJU^ H [JkWKNPO^jO H Qcf(Q H hJUNPbMeJUY H MeJ centEgrave[]jO^NihlmOacute[SX H MeJabn[]ObnJLhdOeJU^ Me[]Zaring[S[PJUOeJL[]jYaringhJ[]QR[]OO^MJtimesbLjehlUPJtimes^e[BJUYUacuteOe[ H [P[cent=JmP[]O^ H MJUYJaeligcent=[]jO^NihQRJUYiexclYZQcObnJSe=[UPJLh H MeJLhZJSe H MeJbnhQ H JLhQR[]OOacuteQsObnhZJUNPYJUYtimescentEgraveJUbLNPjYJ H MeJU~NihdQcNPObnJOcircu centtimesOslash [Ph H MeJ bn[U~NihdQcNPObnJtZaringN H hQVk^eJ H JLhZaringQcONPO H ^eJ H atimesOslashjUcirccentOtildeQsObnhZJUNPYJS^MeJaringNPfV[P[PhQ H MZEcentNPYJU^[]O H MeJ bn[UiNihQcNPObnJZaringN H hQVkeumlQcYaumlK=JLhlX[PhlZaringJU^euml[]ONPOQZ N[PJ [SX H MeJUBQs^eJL[`YJBjeJUObnJrnN`WQVmP[]peumlQcO[Ph^JLh H [euml^eJ H JUb HaeligH MeJYKEgraveJUN`PJLhUTYXqNPbnJS^gtMJaumlJUP[]fcj H QR[]O[SX H MJIacutebLjehYUPJIacuteQcYu[]QVUPJUO QcO not QV[^ macr^gtMeJTbn[]O H []jehiexclJUP[]fUPJUYH [ONPfcfVmbn[]OUPJLhY[PJaelig[]O H MeJIacutecent=[]jO^NihQRJUY[SX H MJyXqNPbnJa not QV[^ macr^bj^OMeJyXiacuteNPbnJaeligQcYH MeJUONPbLbLjehdN H JUfVm YZJ[]ZOslashJUO H JU^^FMeJUacuteNSZOslashKfcQ H j^eJ[SX H MeJiexclUPJUfR[BbLQ H m QsYFNPfsY[laquo[]QVUPJUOQcO not QV[aqYj^ macr^ ^OecurrenJSe Xfrac34jNPO^WNtildeJUacutebLNPO [PcentYJLhYUPJ H MN HFH MeJ5XiacuteNPbnJUacutehZJ[]QR[]O QcYUPJLhYmWFJUfcf^eJUfsQZaringQ H JU^regXhZ[]Z H MJ[ H MJLhhZJ[]QR[]OY^MJ5UPJUfc[BbLQ H m[]QUPJUO QcO not QV[aqYj^ macr^ ^OecurrenJSe XQcObLfcj^eJUY H MeJNP^^Q H Qc[]ONPf H JLhlZaringYFbn[]ZaringQcOF[yXiacutehZ[]Z H MeJ5UiNihQcN H QR[]O [SX H MeJiexcl^eJUYbnhQRKeVH [PhY5WQ H Magrave`centj H ^e[BJUYOtildeOe[ H QcObLfcj^eJ H MeJaeligcentEgrave[]jO^NihlmVcentNPYZJU^ H JLhlZ WMQcbMeumlQcYUacuteNYYZaring[[ H MQsO[ H JLhlZ^KMeJtimesNSZOslashKfcQ H j^eJOtilde[SX H MeJyUPJUfc[BbLQ H maQcYiexclOe[PhlZaringNPfcQcurrenLJU^ centEgraveJ H WFJLJUOs NPO^ macrSmacre$YZjbdM H MN HTH MeJ OeJ[]N H QVUPJoU~NPfcjJUYIacuteNihZJ fR[WFJLh H MNPO f i`NPO^ H MeJKEgrave[]YZQ H QUPJ[]OJUYNihZJTMQ[]MeJLh H MNPOpoundf i^ J bLNPObn[]ZaringKNihZJ H MJ QcOQ H QsNPfUPJUfR[BbLQ H m[Pcent H NPQcOJU^jYZQcOF[ H MeJ bn[U~NihQsNPObnJZaringN H hdQk admacr s juWQ H M H MeJOtilde[]OeJOtilde[Pcent H NPQcOeJU^jYQcO[ H MeJordfUiNihQcNPObnJrega2Sj^KMeJordfXqNPbnJTQcYOe[ H WNtildeJUfsf9^eJ H JUb H JU^QcO H MeJUPJUfR[BbLQ H m[Pcent H NPQsOeJU^ajYQcO[ H MeJUiNihQcNPObnJa not Q[^ ^bjWMJLhZJUNPYIacuteQ H QcYIacutehZJUNPfcfmumlWNtildeJUfcfF^eJ H JUb H JU^QsO H MeJQcOQ H QcNPfUPJUfR[WbLQ H m7jYZQcOF[ H MeJbn[iVUiNihQcNPObnJpoundZ N H hQk a not QV[^ ^currencentj^_MeJ UPJUfR[WbLQ H m [Pcent H NPQcOeJU^ jYZQsO[ H MeJumlU~NihdQcNPObnJ^e[BJUYOe[ H NPfsfR[W NPOJltz bLQRJUO H YJ[]ZOslashJUO H N H QR[]O`[SX H MeJyXiacuteNPbnJauml[]O H MeJaumlbn[]O H hNihYm H [H MeJIacutebn[UiNihQcNPObnJlaquoZaringN H hQk^eJ H JLhZaringQcONPO H WMQsbM H N`PJUYUacuteNP^UiNPO H N[PJaelig[SX H MeJtimesbn[]fR[PhQcOFX[PhlZ N H QR[]OO^macr^ ^WVFEumlETH=gtNtildeFETH32EacuteltOacuterETHEacute`0Ntilde=KIgravek8ltIgraveFETHIgrave5=KETH32EacuteltOacute~2Oacute+(8ltIgraveEacute IcircIgrave5euml1IgraveFOacute=KIgraveIcircMJa^eJUYZbnhQcK H [PhYOslashcentNPYZJU^[]O H MJ`bn[UiNihQcNPObnJZaringN H hdQkNihJ`QZOslashK-fRJZOslashJUO H JU^ H [^eJ H JUb H MBjFZaringNPO XqNPbnJUYQcO UWQc^eJL[OacuteYJBjeJUObnJUY^MQsYaring^eJ H JUb H QR[]OegraveZaringNm cent=J`jYJU^Xiacute[PhtUWQc^eJL[ bn[B^QcO[ H [JUObn[W^eJYJUfcJUb H QVUPJUfVm H MeJOacuteMBjFZaringNPOegraveXqNPbnJS^ not [Ph`N []QVUPJUObn[]ZOslashKhZJUYZYZQR[]OOacutehN H QR[e H MeJoXiacuteNPbnJbLNPO7cent=J H hNPOYYZ Q HH JU^bWiexclQ H MN MQV[]MJLhThN H J H [H MeJ^eJ H hdQZOslashJUO H [SX H MeJcentNPbl`[Ph[]jO^O^uMQsY QsO H JLhZJUY H QcO[KhZ[PKEgraveJLh H m QcYUiNPfcjWVNicentfcJuX[PhUBQc^JL[Bbn[]OXiacuteJLhZJUObnJUYe]WMeJLhZJ H MeJ ZOslash[]Y H QZOslashKEgrave[Ph H NPO H NPO^regZOslash[]Y H U~NihdQcNicentfRJQcOFX[PhlZ N H QR[]OQcYfR[WbLN H JU^ []O H MJordfXiacuteNPbnJaq 5ZOslash[]Oe[]j`NPO^tUacutejMNSZaringJUfde sSsSs j^ J QcOQ H QcNPfcQVcurrenLJ H MJhdY H XiacutehNSZOslashJoWQ H M7N`bLQchbLfRJ QsOYZQc^eJ H MeJXqNPbnJ H [ H hNPbY`K^MJUOOeyacuteWFJsup1ZaringN`PJ H MeJNPb H QVUPJ7bn[]O H []jeheumlJUP[]fVUPJjYZQcOF[admacr s jeiexclWQ H MX8ordfaOgravejxaacuteILK KafUgravemiddot cent j^ltMeJregONPfybn[]O H []jehtimes[SX H MeJ bLjehZhJUO H QZaringN[PJ QcY H MeJUOOacutebdMe[]YJUO7NPYNPO QcOQ H QcNPfbLjhYUPJordfX[Ph H MJUacuteOJk H QZaringN[PJS^FMeJOtildeNPfV[P[PhQ H MFZMNPYcentEgraveJLJUOKEgraveJLhYXiacute[PhlZOslashJU^[]OYJUPJLhdNPf$YJjJUObnJUY^MeJaelighZJUYjf H Y5X[Ph H MJaeligYZJjeJUObnJpoundn5JLhQV`p NihJordm[]QVUPJUOQcOnot QV[^ethz^shyMeJaringKNihNSZaringJ H hZJ bMNPYaumlcentEgraveJLJUOYZJ HaumlH [sup1f s ^QMeJordmXqNPbnJ QcYordfWFJUfcfy^J H JUb H JU^NPO^ H hNPbY`PJU^times[]O H MJ|WMe[]fcJyYJjJUObnJS^MJyhZJUYZjf H YOX[Ph H MeJNtildeYZJjeJUObnJnN`WQVmP[]p

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ macrNihZJy[]QVUPJUO`QsO not QV[^ i^ JaeligbMe[B[]YJbaacute s ^ JtimesbLNPO`YJLJ H MN HH MeJXiacuteNPbnJaeligQcYuWFJUfcf^eJ H JUb H JU^aJUPJUOaQVX H MeJaumlbn[]fR[Phiexcl[SXMJLhYZMQRh H QsY(bLfR[]YJ H [ H MJgXiacuteNPbnJIacutebn[]fR[Ph^

YOEAEligMgtIltROgravesup3PshyAtildeT13MKI5O H MQcYKNiKEgraveJLheuWNtildeJKhZ[PKEgrave[]YJN OeJW 0jfRJLhQcNPOAumlZaringQsOQZaringQVcurrenUN H Qc[]OAumlZOslashJ H Me[W^ H [bn[]ZOslashK-j H J H MJUPJUfR[WbLQ H mpoundUPJUb H [Pharing[SXNPONPb H QVUPJ bn[]O H []jeh H MN H JUOYZjehZJUYtimesQ H WQcfcfJUP[]fVUPJ NPYordfXiacuteNPY H NPYOtildeKEgrave[]YZYZQRcentfcJ H [WNih^YIacuteNZaringQcOQCZIacutejFZ [SXN bnhQ H JLhQR[]OeumlQcObLfcj^QcOF[centEgrave[ H MUacutehZJ[]QR[]OeVcentNPYJU^TNPO^OtildecentEgrave[]jO^NihYmVcentNPYJU^ H JLhlZ Y^ q jehgNiKKhZ[]NPbMIacuteQcYcentNPYZJU^Otilde[]OYZMNiK=J[PK H QZaringQVcurrenUN H Qc[]OOslashKhQcObLQRKfRJUY$NPO^ QcYyKEgraveJLhYXiacute[PhlZOslashJU^ QcO H MehZJLJ5ZaringNPQcO Y H JLKYaringf^ltO H hZ[W^jb H QR[]O[SX$NOslash^mWONSZaringQcbLNPfYbMeJZOslashJIacuteQcO H MeJTbnhQ H JLhQR[]OOe ^vF[]ZOslashKj H N H Qc[]Oaelig[SX H MeJ_0jfRJLhdQcNPOaelig^eJLhQVUiN H QVUPJ[SX H MJbnhQ H JLhQR[]OOslashjYZQcO[OtildeYZMNiKEgraveJ

[PK H QZaringQVcurrenUN H Qc[]O H [[]fcYe^vF[]ZOslashKj H N H Qc[]Oa[SX H MeJtimesJUP[]fcj H Qc[]OaJBjN H QR[]O`[SX H MeJaeligNPb H QVUPJtimesbn[]O H []jehiexclXiacutehZ[]ZH MeJT^eJLhQU~N H QVUPJS^

iexcl Ntilde _ cent G NPfcfR[WY H [hJUNP^QcfVm H N`PJNtildeQcO H [NPbLbn[]jO H9H MeJybLNPYJ0[SXBhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H^eJUYbnhQRK H [PhY H MN H NihZJo[]fR[PcentNPfcfVmN HH NPbdMeJU^ H [ H MeJ JUP[]fVUWQcO[ hZJ[]QR[]OYtimesNPO^Y[H MN H UiNihYm^jehQsO[ H MJaumlKhZ[PKN[]N H Qc[]O [SX H MJaumlbLjehYUPJS^ JTYMe[W H MN HH MeJgUiNihQuVN H QR[]O [SX H MeJUYJ^JUYZbnhQRK H [PhdY QsO^jbnJUYNP^^Q H QR[]ONPf H JLhlZaringYQcO H MeJeumlJUP[]fcj H QR[]OJBjN H QR[]Oeuml[SX H MeJaringNPb H QVUPJ bn[]O H []jeh^MJUYJ H JLhlZaringYgZtimesjY H Oe[ H centEgraveJlaquoX[Phl[P[ HH JUOQcO[Ph^JLh H [ hZJUNPbMeumlN H hjeJZ QcOQZtimesjFZ[SX H MeJtimesbnhQ H JLhQc[]OaNPYUacuteQ H MNPYcentEgraveJLJUOKEgrave[]QcO H JU^[]j H QsOJkBKEgraveJLhQZaringJUO H NPfEgravehZJUYjf H Y^

Yfrac34XiacuteNiheumlNPYeumlMe[]ZOslash[S[PJUOeJL[]jYeumlbn[]fR[PheumlhZJ[]Qc[]OY`YZJ[]ZOslashJUO H N H Qc[]OQsY`bn[]ObnJLhdOeJU^OeWFJKhZ[PKEgrave[]YJ H MeJ`bn[U~NihQsNPObnJfrac34ZaringN H hdQk^eJ H JLhlZaringQcONPO H NPY N^eJUYbnhQRK H [Ph^MQcYY H N H QsY H QcbLNPfhZJ[]QR[]OeV4^eJLKEgraveJUO^eJUO H ^JUYZbnhQRK H [PharingNiKK=JUNihdY H [centEgraveJN UPJLhlm7hJUfRJU~NPO HH [B[]fampNPO^eumlY[ Q H MNPYUacutecent=JLJUOeumlYZjbLbnJUYZYXqjfcfVm NiKKfsQRJU^ H [XqNPbnJaring^eJ H JUb H QR[]OQcOfrac34UWQc^eJL[YJBjeJUObnJUY^

iquest acuteraquoacuteLacuteIltR]acuteAtildeagraveIgravefrac14dEcircsup1Atilde5AringiquestLmiddotNtildeIumliquestUumlgIumlUTHORNampAtildeEacutecedilAtilde5AringAcircnAtilde|iquestaacuteIacuteIumlIZEgravefrac14Zcedilfrac12frac14dAringiEcirc]iquestfrac14draquoiEcirc[NtildeIumlagraveAringEacutePAtildecedilwAacute4] uacute_^J^J^ iquest)` igraveraquoLCcedilfrac14cedil4Ecircfrac14draquo~Ecirc(Auml|AringAacuteCcedilfrac14Zcedil4Ecirc

Agrave5AringcedilAcircnAtilde$AtildeAcircnAuml|frac12AringAacutesup1AumldraquoTAringAEligwsup1raquo~ordm(frac12Atilde5AcircnAtilde5frac12AEligwAtildeAacuteampIgrave(Atilde AacuteIcirc~AumlUEcircSaIumligraveraquo13] x4~rv p4PldrRtcoPl|Egraveod5v pv i4vodaumlx4shyl not vsectpqo v tu not Iumlcb$Auml|EacutePAtilde|iquestednfrac14Oumlifrac14draquoIuml

agraveIgrave(Aumldraquo~Auml|Aringiquest~igrave4IumlPfrac14raquoiEcircfWIumliTHORNampAringIcircifrac14Igrave(Atilde5frac12G] divideugrave|ugrave|ugrave iquest` igraveAacuteAtildecedil4frac14ZAacutesup1Acirc|AtildeNtildeEacute~frac14dAgrave4UgraveUCcedilEgravefrac14cedil4EcircUacuteAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoUacuteOgraveregAumldcedilIcirc~sup1Atildecedil4frac14cedilAgrave4Icirc~sup1currenEumlAgravefrac14dfrac12=CcedilEgravefrac14AcircnAtilde5frac12AtildeAacutesup1Igravefrac14ordm|AtildeAgrave5AumlUEcircsup1raquo~ordmIaIumlaeligigraveiacuteraquoS] x4rv p ildrRtcodil|ampod5v pv P4vOtildeodOslashx4shy(l not vFsectpqo v tu not Iumlg frac14raquo~Agrave5AumldAring~AcircnAtildecediliquestehEgravefrac14raquoifrac14|Ecircfrac14Iuml

agraveAringEacutePAtildecedilwAacuteiquest[NtildeIumlWfrac14raquoiEcircifWIuml13b$Aumldcedilraquo~OumlcedilAuml|EacuteAEligqAacute4] divideugrave|ugraveuacute iquestkj ldrregv shy(ldrRtcl|ipwonm5v shyNtildetuOslashtushyl not vampipwo4v tu not sect9ldp4rRtcl|Egravedt lv pv ~rRtRl|9vDm~lrRtcod~ldiTrreg~vUacutel| Uiexcloqnldp4tcldrRtRod~ iquestpoAumlIuml uacute_qEr IumlOslashagrave9Ouml~Oumlfrac12sup1AtildeEcircaacuteUacutefrac14AacuteIcirc~AtildeIgravefrac14Aacutesup1Agravefrac14dfrac12BatildeAgravesup1Atilderaquo~Agrave5Atilde5AElig5iquestPatildeOumlcedilsup1raquoordm|Atildecedil g Atildecedilfrac12frac14dordmIumlhEgravefrac14dAEligwAtilde5frac12frac12Atilde5AElig5iquest g Iumliquest~szlig0Iumleb$sup1Igrave(Igrave(Atilde5frac12Riquestifrac14raquoiEcirc[NtildeIumlatildefrac14dOumlsup1cedilAumlI] uacute_^J^Er iquest`s[Atilde5AumlUEcircAtilde5AEligwsup1AgraveFfrac14dAgraveAacutesup1AcircnAtildeyAgrave5AumldraquoUAacuteAumldAringcedilAElig_aIuml x4~rv p4PldrRtcodPldpoundUodUp4Pl|WoqodshyiUrv paumlumltutcodutet13v uacute+w iquestex uacuteyIrz^ Iuml

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CBh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34LiquestBagraveyIumlWfrac14raquoiEcircidIumlBTHORNampAringraquo~Agravefrac14raquo13] uacute4^z^J^ iquest`[ampfrac14Igrave(AtildeEumlcAacuteIcirc~Atilde5AumlcedilAtildeAacutesup1Agrave(sup1raquoUAacuteAtildeordmdcedil4frac14Aacutesup1AumldraquoaeligOgraveuAumldcedil0sup1Igravefrac14dordmdAtildeAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIuml xQ|||~pwl~ lnrRtcodNtildeodiexclsect9lrRrv p auml9Pl| ~tuyldi j l|4Utu]vx4~rvreg t not v P4v Iumlh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34Liquestgagrave0IumliquestIumlgatildeUAacute4frac14dsup1Eacuteiquest9frac14draquoiEcircdIuml9THORNampAringraquo~Agravefrac14raquo13] uacute_^J^ xiquest` THORNampAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeIacuteEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34iraquo~Ecircsup1raquo~ordmsup1raquoIgrave(AtildeEcircsup1Agravefrac14frac12iexclsup1Igravefrac14ordm|Atilde5AEligaringEacuteLfrac34Oacutesup1raquoLAacuteAtilde5ordmcedil4frac14Aacutesup1raquo~ordm ordmdcedil4frac14|Ecircsup1Atilde5raquoLAacute frac14raquoiEcirccedilAtilde5ordm|sup1Auml|raquo sup1raquoOgraveuAumldcedilIgravefrac14ZAacutesup1Auml|raquo13aIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu notI iquesteE ^4y rdugrave Iumlh=Icircifrac14raquoiquestBETHIumlWfrac14raquoiEcircIuml g Atilde5AEligwAtildeJ] dividedugravedugraveuacute iquest` agraveAgraveAacutesup1AcircnAtildeFAgrave5Auml|raquoLAacuteAuml|AringcedilAElig$Ccedilgsup1AacuteIcircAuml|AringAacuteNtildeAtilde5Ecircordm|AtildeAElig_aIuml xQ||k|~pwld lnrRtcododUacutex4shy(l not v9sectpqo4v 4tu notuU v divideJw iquest divide xJx ydividezrJr Iumlh=Icirc~Atilde5AEligwraquo~frac14dAring~EcirciquesthIumliquestfWIuml=szligAtildeOgraveYacutecedilIAtilde5ordm|sup1Atildecediliquestfrac14draquoiEcirc g Iuml5Z=AumldAring~frac12AtildeAacute4] uacute_^J^z^ iquest`currenatildeUAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12cedilAtilde5ordmdsup1AumldraquoAEligwraquoifrac14dUgrave|AtildeEumlsEacuteifrac14dAEligwAtilde5EcircAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquofrac14|Ecircfrac14dOumlAacuteAtilde5EcircFAacuteAumlyEcircsup1s]AtildecedilAtilde5raquoLAacute-Ouml~IcircLfrac34AEligwsup1Agrave5frac14dfrac12~raquoAuml|sup1AEligwAtilde9Igrave(AumlUEcircAtilde5frac12AElig_aIuml xQ||k|~pqld~ lnrRtco~$osect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4vt iquest uacute|uacute_q y~uacute|uacute xIumlh=Auml|IcircAtilde5raquoiquestIuml] uacute4^z^uacute iquest`currenmiddotraquofrac14dAgrave Aacutesup1Acirc|Atilde Agrave5AumldraquoLAacuteAuml|AringcedilIacuteIgrave(AumlUEcircAtildefrac12AEligtimesfrac14draquo~EcirceumlEacuteifrac14dfrac12frac12AumlLAuml|raquoAElig_aIuml odshyiUrv pumltutcod pwl Utc0ldix4shyl not vsectEgravepwo4v tu not x4shyl not vOtildePnv p rsldidtu not) iquest divideUuacuteduacuteydivideLuacute UIumlh=Auml|IcircAtilde5raquoiquestSIumliquestUumlIuml13ZEgravefrac14cedil4Ecircsup1raquo~AtildeAacuteiquestfrac14raquoiEcircoNtildeIumlagrave9frac34Lfrac14dAgrave4Icirc~AtildeJ] uacute_^J^z iquest`atildeUAringcedilwOgraveufrac14dAgrave5Atilde0cedilAtilde5Agrave5Auml|raquoAEligqAacutewcedilAring~AgraveAacutesup1AumldraquotimesAring~AEligwsup1raquoordmfrac14AgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilaumlIgrave(AumlUEcircAtilde5frac12AElig_aIuml igraveiacuteraquoS] Lsect=xQ|od5v pv P4v od vwodshy(v rRp tc j v rregodtimestuodshyiUrv pumltutco Iuml~atildefrac14raquoUacuteTHORNampsup1Atilde5ordm|AumliquesthEgraveagraveyIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquestEgraveUumlIuml] dividedugrave|ugravedugrave iquest`currenatildeAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquo Ouml~frac14cedilAgrave5Auml|raquoLAacuteAuml|AringcedilAEligUacutefrac14AgraveAacutesup1currenOgraveuAEligUacuteAtilde5raquosup1Igravefrac14dordmdAtildecedilsup1AtildeIacuteIgraveAtilde5Ecircsup1Agravefrac14dfrac12AtildeIacuteEcircfrac34UEumlraquoifrac14dIgrave(sup1ecircLAring~Atilde]ampfrac14Ouml~Ouml~frac12sup1Agravefrac14ZAacutesup1AumldraquoAtilde5raquoeumlAgravefrac14Zcedil4Ecircsup1Auml|frac12Auml|ordmdsup1Atilde raquoUAring~Agravefrac12Atilde5frac14dsup1currencedilAtildeJaIumlfIcircIuml THORNFIumlAacuteIcirc~Atilde5AEligwsup1AElig5iquestraquo~sup1AcircnAtildecedilAEligwsup1currenAacutefrac34`AumlOgraveosup1Agrave5AtildeEumliacuteatildeAumldOuml~Icircsup1Yacutefrac14NtildeagraveraquoLAacutesup1OumlPAuml|frac12sup1AElig5iquestPeacutecedil4frac14raquo~Agrave5AtildedIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquest|UumlIumliquestUaacuteIacuteIumlEZEgravefrac14cedilfrac12frac14dAring~Ecirciquest[NtildeIumlLagraveAringEacutePAtildecedilwAacuteiquest|frac14draquoiEcirc dIumlnTHORN$frac14ZcedilAgrave5Auml|AringcedilwAacute4] divideugrave|ugraveUuacute iqueste`currenatildeOuml~frac14dAgrave5AtildeEgraveAacutesup1Igrave(AtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14EumlAacutesup1AumldraquoUacuteAring~AEligwsup1raquoordmfrac12Atilde5AcircnAtilde5frac12AEligwAtildeAacutefrac14dAgraveAacutesup1AcircnAtilde$AgraveAuml|raquoLAacuteAuml|AringcedilAEligfrac14Ouml~Ouml~frac12sup1AtildeEcirciexclAacuteAumlFIgraveNtildefrac34LAumlLAgravefrac14Zcedil4Ecircsup1frac14dfrac12ordmnfrac14ZAacuteAtildeEcircOtildeatildeIf-UumlkhEgraveETHaIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu not t v rJw iquest)x qJ+y xJ ^ Iuml

THORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquest13iexclNtildeIumlfrac14draquo~EcircdIumlWaacuteAuml|raquoLAacute4frac14ordm|raquoifrac14ZAacute4] divideugrave|ugraveUuacute iquest` ETHBAumldOumlPAuml|frac12Auml|ordmfrac34Oslashfrac14raquoiEcircIacuteAEligwIcirc~frac14dOumlPAtildeAgraveAuml|raquo~AEligqAacutewcedil4frac14sup1raquoUAacuteAEligyAumldraquotimesOumlifrac14Zcedil4frac14EumlIgrave(AtildeAacutewcedilsup1AgraveOslashfrac14dAgraveAacutesup1AcircnAtildearingAgrave5AumldraquoLAacuteAuml|AringcedilAElig_aIuml odshy~rv pumltutcodldP x4shy(l not vPLv p4rsldPtu notcent) v divideJw iquestuacute_qnugrave4yiuacute4rUuacute Iuml[Auml|Igrave(Atilde5AElig5iquestpounddIumlfrac14draquo~EcircaringmiddotNtildeIumleacuteifrac14Aring~ordm|Atilde cedil4frac14dAElig_] divideugrave|ugrave|ugrave iquestcurren` szlig9Atilde5Agrave5Aumldraquo~Agrave5sup1frac12sup1raquo~ordmIacuteEcircsup1AEligqAacute4frac14draquoAgrave5AtildeOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligfrac14draquo~Ecircaeligfrac12Atilde5AcircnAtilde5frac12EgraveAEligwAtilde AacuteAElig_aIumlpoundUodUp il|WoqUacuteumltul|-odshyNtildeshyFU~tR4lrRtcodTldix4shyl not vampgvipv v rsldrRtcod ) iquest dividedugravez^+ydivideddividez Iuml[cedil4frac145frac34LiquestszligyIumliquestdIumlyen-Auml|Aringraquo~ordmiquestampfrac14raquoiEcircagrave0Iumlampagravesup1currenfrac34LAtildecedil4] dividedugravedugraveuacute iquest `aacutesup1raquosup1IgraveNtildeAring~Igrave Ecircsup1AEligwAgrave cedilsup1Igrave(sup1raquo~frac14Aacutesup1Auml|raquosup1raquoOgraveregAumldcedilIgravefrac14Aacutesup1AumldraquoAgrave5frac12Aring~AEligqAacuteAtildecedilsup1raquo~ordmI]Igrave(AumlUEcircAtilde5frac12sup1raquo~ordmTfrac14raquoiEcircOslashecircLAringifrac14raquoUAacutesup1Ocircfrac14ZAacutesup1Auml|raquoOslashCcedilgsup1currenAacuteIcirc ordm|frac14dAringAEligwAEligIgrave(sup1currenicircAacuteAringcedilAtilde5AElig_aIumlTigraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquest=atildePIumliquest=aacuteIacuteIumlkZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestEgravefrac14raquoiEcirc[NtildeIuml=agrave9Aring~EacutePAtildecedilwAacute4] dividedugrave|ugraveUuacute frac14Uiquest` agrave EumliacuteatildeUAacuteAtilde5Ouml frac14dfrac12ordm|Aumlcedilsup1currenAacuteIcirc~IgraveAring~AEligwsup1raquoordmcedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtilde=Agrave5Auml|raquoLAacuteAuml|AringcedilAEligeOgraveuAumldcedilAcircUsup1EcircAtilde5AumlAuml|EacuteUbrvbarqAtilde5Agrave AacuteAElig=EcircAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoSaIuml~igraveraquo13]psect xw j x4 sect odpDumlqo odUacutex4shy(l not v9Pl| ~tu5op j rRtushyvwdtclNtildex4rv pwlnrRtKndvy]v pntc4v IumliETHWfrac14dIgrave(OumlPAtilde cedilAtilde|iquestieacuteWsup1raquofrac12Yacutefrac14raquoiEcirc]Iumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquestUatilde]IumliquestUaacuteIacuteIumlUZ=frac14cedilfrac12frac14dAring~EcirciquestUfrac14raquoiEcirccopy[NtildeIumlUagrave9Aring~EacutePAtildecedilwAacute4] dividedugravedugraveuacute EacuteiquestA` szlig9Atilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14AgraveAacutesup1AcircnAtildegAgrave5Auml|raquoLAacuteAumldAringcedilAEligOgraveuAumldcedilAcircUsup1YacuteEcircAtilde5AumlaringAuml|EacuteUbrvbarqAtilde5Agrave AacuteOtildeAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo Ccedilgsup1currenAacuteIcircaAgrave5frac14dIgrave(Atildecedil4frac14OslashAgrave5AumldIgrave(OumlPAtilde5raquo~AEligfrac14ZAacutesup1Aumldraquo13aIumligraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquesteatilde]IumliquestWaacuteIacuteIumlZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestefrac14draquo~Ecirc[NtildeIumlBagraveAring~EacutePAtilde cedilwAacute4] divideugrave|ugraveuacute Agrave|iquestk` g sup1EcircAtilde5AumlUacuteAuml|EacuteUbrvbarqAtildeAgraveAacuteFAEligwAtildeordm|Igrave(Atilde5raquoLAacute4frac14Aacutesup1AumldraquoAring~AEligwsup1raquo~ordmIacuteAtilde5Aring~frac12Atildecedilsup1frac14draquo cedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAElig_aIuml igraveiacuteraquoS] x4rv p ildrRtcodil|yodv pwv P4vIacuteoodshyiUrv paumlumltutcod Iuml g frac14draquoAgrave5Auml|AringAcircnAtildecediliquestehEgravefrac14draquo~frac14|Ecirc~frac14UIumlbyfrac14dAEligwAElig5iquesteaacuteIacuteIumliquestWagrave0Iuml Ucirc sup1currenAacuteUgravesup1raquoiquestWfrac14raquoiEcirctimesTHORNFIumlWETHBAtildecedilOcirc5AumldOumlPAuml|Aringfrac12AumldAElig_] uacute4^ JUiquestk`currenatilderaquoifrac14UgravenAtilde5AElig_]WagraveAgraveAacutesup1AcircnAtilde(Agrave5AumldraquoLAacuteAuml|Aringcedil0Igrave(AumlUEcircAtilde5frac12AElig_aIumlx4~rv p4PldrRtcoPl|WpoundUop4PldWoqodshyiUrv pTumltutcod iquest ndivideUuacuteyUzndivide Iuml

aacuteUacutefrac14dfrac12frac12frac14|Ecircsup1ciquest~szlig0IumliquestedIuml]atildeUAtildeAacuteIcirc~sup1frac14raquoiquest~frac14draquoiEcircZIuml g Atilde5IgraveNtildeAringcedilsup1G] uacute4^z^ UiquestS`atildeUIcircifrac14OumlPAtilde$Igrave(AumlUEcircAtilde5frac12sup1raquo~ordm0Ccedilgsup1AacuteIcirciexclOgraveregcedilAuml|raquoLAacuteOumlcedilAumldOumlifrac14dordm|frac14EumlAacutesup1Aumldraquo13]nfrac14ampfrac12AtildeAcircnAtilde5frac12AEligwAtildeAacuteEgravefrac14Ouml~OumlcedilAumlnfrac14dAgrave4Icirc13aIuml xQ|||~pwld lnrRtcodampodsectgldrRrv p 9Pl| ~tu9ldP j ln4Utreg]vx4~rvu t not v i4v Iordf iquest uacute z yiuacute+r UIuml

aacuteUacutefrac14draquoAEligwAuml|Aringcedilsup1Riquestagrave0Iumlfrac14draquo~EcircdIumlb$Auml|raquocedil4frac14|EcircS] uacute_^J^J^ iquestlaquo`currenaacuteAumldAacutesup1AumldraquoAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo`Ccedilgsup1currenAacuteIcirceumlfrac12Atilde5AcircnAtildefrac120AEligwAtilde AacuteAElig_aIuml igraveraquo13]x4~rv p4PldrRtcoPl|=ov pwv P4vNtildeodUacutex4shyl not vsectEgravepwo4v tu not Iumlcb$AumldEacutePAtilde|iquestednfrac14dOuml~frac14draquoIuml

aacuteAuml|raquoLAacute4frac14dordmdraquoifrac14ZAacuteiquestdIumliquestziexcl0IumlTHORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquestdfrac14draquo~EcircoNtildeIumlZagravegfrac34Ufrac14dAgrave4Icirc~AtildeJ] dividedugrave|ugraveUuacute iquest` agraveOslashcedilAtildeAcircsup1AtildeCcedilaeligAumldOgravePEcircAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeAEligwAringcedilwOgraveufrac14dAgrave5AtildeAElig_]AacuteAuml|OumlPAuml|frac12Aumldordmdfrac34Liquestgordm|AtildeAuml|Igrave(AtildeAacutewcedilwfrac34frac14draquoiEcirc EcircAtildeOgraveuAumlcedilIgravefrac14Aacutesup1Auml|raquoSaIuml x4shyl not vtimesldiOacuteumltutcododshy~rRtreg not0Inot v uacute_qw iquestuacuteugravendivide+y~uacuteugravezq|ugrave Iuml

aacuteAring~IgraveOgraveregAumldcedil4Ecirciquest=THORNFIumlgfrac14raquoiEcircdIumlatildeIcirc~frac14dIcircS] uacute4^ ^ iquest`currenmiddotOumlAacutesup1Igravefrac14frac12$frac14dOumlOumlcedilAumlicircsup1Igravefrac14Aacutesup1Auml|raquoAEligEacuteLfrac34Oumlsup1AtildeAgrave5AtildeCcedilgsup1AEligwAtildetimesAEligwIgrave(AumlLAumlAacuteIcircOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligFfrac14raquoiEcircOslashfrac14dAEligwAEligwAumlLAgravesup1Yacutefrac14ZAacuteAtildeEcircaringAcirc|frac14Zcedilsup1Yacutefrac14ZAacutesup1Auml|raquoifrac14frac12EgraveOumlcedilAumldEacute~frac12Atilde5Igrave(AElig_aIuml odshyNtildeshyFU~tR4lrRtcod~oaeligsectEgraveUpvUacuteldiEgraveni tsvw j ldrreg~v shy(lrRtccurrenshyt iquest rzr4y xJ q Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfa

yenKbrvbarsect =4 acirc $ zmiddotAEligwIcirc~AtildecediliquestdatildePIumlfrac14draquo~EcircdIumlnatildeAtilde AacuteIcirc~sup1frac14draquoS] uacute4^ ziquest` eacutecedilAuml|raquoLAacuteAEligeOumlcedilAumldOumlifrac14ordmnfrac14Aacutesup1raquoordmCcedilgsup1currenAacuteIcircFAgrave5AringcedilAcirc|frac14ZAacuteAringcedilAtildeEumlEcircAtilde5OumlPAtilde5raquoiEcircAtilde5raquoLAacuteBAEligwOumlPAtildeAtildeEcircS]

agravefrac12ordm|Aumlcedilsup1AacuteIcircIgrave(AEligEacute~frac14dAEligwAtildeEcircaumlAuml|raquoiexclampfrac14Igrave(sup1frac12AacuteAumldraquoEumldnfrac14Agrave5Auml|Eacutesup1eacute~AumldcedilIgraveNtildeAring~frac12frac14Aacutesup1Auml|raquoSaIuml poundUodUp4Pl|oqiexcloshyiUrsldrRtcoPl|sect=U~tc ordfenot iquest uacutedivide4yEqE^ Iumlfefrac14cedil4frac14ordm|sup1Auml|AElig5iquestoNtildeIumlfrac14draquo~EcircIacuteszligyIuml]THORNampAtildecedilsup1Agrave4Icirc~AtildeJ] uacute4^z^J^ iquest`s[Atilde5AumlUEcircAtildeAEligwsup1Agravefrac14AgraveAacutesup1AcircnAtildeFcedilAtilde5ordmdsup1Auml|raquo~AElig$OgraveregAumldcedil0Igrave(AumldAacutesup1Auml|raquoTAtilde5AEligqAacutesup1Igravefrac14Aacutesup1Aumldraquofrac14draquoiEcircAacutewcedil4frac14dAgrave4UgraveUsup1raquoordmAaIumligraveiacuteraquoS] x4rv p ildrRtcodil|-ov pwv P4vFodOslashodshyiUrv paumlumltutco Iumleh=AumldcedilwOgraveregAringgt[cedilAtilde5Atilde5Agrave5Atilde|Iumlfefrac14AacuteAtilde5Aringicirc]iquestatilde]Iuml] dividedugravedugrave|ugrave iquestpound`currenatildeOuml~frac14Aacutesup1frac14dfrac12AEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoTAumldOgrave=Agrave5Auml|frac12Aumlcedilysup1Igravefrac14ordm|Atilde5AEligampfrac14dAgrave5Agrave5Aumlcedil4Ecircsup1raquo~ordmAacuteAumlUacuteaacuteTHORNaringOgraveregAumldcedilIgravefrac14dfrac12currenEumlsup1AEligwIgraveaIumlyigraveraquo13] x4~rv p4PlrRtcodPld=od5v pv i vodododpFtu pwl4UtcldPx4shyl not vysectpqo v tu not Iumlatildefrac14dsup1raquoLAacute UumleAacutesup1Atilderaquo~raquo~Atildediquestieacutecedil4frac14raquo~Agrave5AtildedIumlfcedilAtildeAgrave5sup1Auml|AEligwAumliquesteacute=IumlEgravefrac14raquoiEcirc aacuteIacuteIumlcurrenZEgravefrac14cedilfrac12frac14dAring~EcircS] dividedugrave|ugraveUuacute iquest` Z-EumliacuteatildeUOuml~frac12sup1raquo~Atildeaumlfrac14dAgrave Aacutesup1Acirc|AtildeOtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAEligOgraveregAumldcedilOgraveRfrac14AEligqAacuteAcircUsup1EcircAtilde5AumltimesAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIumlOacuteigraveraquo13] x4rv p ildrRtcodil|od5v pv P4vaeligod x4shy(l not vUacutesectpqo4v 4tu not IumlETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1Riquest[cedilAtilde5Atilde5Agrave5Atilde|Iuml

szligAumldraquoOgraveufrac14cedil4EcirciquestszligyIuml] uacute_^J^q iquest` szlig9Atilde5ordmdsup1AumldraquoEumlsEacuteifrac14AEligwAtildeEcircFAEligqAacutewcedil4frac14ZAacuteAtilde5ordm|sup1Atilde5AEligeOgraveuAumlcedil-frac14dAgraveAacutesup1AcircnAtildeEgraveAgraveAuml|raquoLAacuteAuml|AringcedilIgrave(AumlUEcircAtilde5frac12AElig_aIuml x4~rv p4PldrRtcoPl|poundUodUp il|WoqodshyiUrv paumlumltutco I v dividezw iquest divideddividez^+yUdivide uacute Iuml

atildefrac14Igrave(AEligwAuml|raquoiquestzhIumliquestzIumlzZ=frac12frac14raquo~AgraveEumleacuteAtildecedil4frac14AringiEcirciquestJ[NtildeIumldagraveAringEacutePAtildecedilwAacuteiquestfrac14draquo~Ecirc dIumlJregPAtildecedilAring~Eacutesup1frac14I] dividedugravedugrave|ugrave iquest` agrave frac12Atilde5Acirc|Atilde5frac12UAEligwAtildeAacuteIgrave(AumlUEcircAtilde5frac12nOgraveregAumldcedilsup1Igravefrac14ordm|AtildeAgrave5frac12frac14dAEligwAEligwsup1siAgravefrac14ZAacutesup1Auml|raquo13aIuml x4~rv p4PlrRtcodPldpoundUodUp4Pl|BoqNtildeodshyiUrv pOtildeumltreg4tRod shy v Ew iquest uacute r4y~uacute4^Er Iuml

atildefrac14raquo~ordmdCcedilgsup1raquoAtilde|iquest9atilde]IumlEgravefrac14draquo~Ecircszlig0IumlampiexclAumldcedilraquoAtilde v Atilde5EcircAElig5Iuml w ] uacute_^J^ Uiquest ~vIacuteo|odUpaumltushyl not vipqo4v 4tu not ldP|m4oo4uml Iumlh=Icircifrac14dOumlIgravefrac14draquodegmacriexclampfrac14dfrac12frac12RIumlatildeAtildeAacuteIcircsup1frac14draquoiquestdIumlplusmn] uacute4^z^|ugrave iquestU` oAringIgrave(Atildecedilsup1Agravefrac14dfrac12Ufrac14frac12ordm|Aumldcedilsup1currenAacuteIcircIgrave(AEligWOgraveuAumldcedilOumlcedilAuml|Oumlifrac14ordmnfrac14ZAacutesup1raquoordmsup1raquoLAacuteAtildecedilwOgraveRfrac14Agrave5Atilde5AElig_]Jiexclampfrac14dIgrave(sup1frac12currenAacuteAuml|raquoEumldnfrac14dAgrave5AumldEacute~sup1

AtildeecircLAringifrac14Aacutesup1Aumldraquo~AElig-frac14draquoiEcircAgraveAuml|raquo~AEligwAtilde cedilAcirc|frac14ZAacutesup1Aumldraquo(frac12frac14CcedilgAElig_aIuml poundUodUp4Pl|]oqEgraveyen$t lv pv rRtcl| voshyv rRp~ iquest uacute4Uuacutey~uacute x uacute IumlatildeAtildeAacuteIcircsup1frac14draquoiquestAdIuml] uacute4^J^ xiquest kWvndvB]v r j v rregod IumlcurrenhEgravefrac14dIgraveNtildeEacutecedilsup1EcircordmdAtilderaquosup1AcircPIumlAfecedilAtilde5AEligwAElig5Iumlatildesup1Ecirc~Ecircsup1ecircUsup1Riquest4bIumliquest_yenNtildeIumlBfrac14Aring~Ocirc5sup1Gsup2AtildecedilAtilde|iquestagraveyIumlETHWfrac14draquoraquo~Atilde5raquoUEacute~frac14dAring~IgraveUacuteiquest5frac14draquo~EcircNtildeatildePIumlregPAring~Agrave4UgravenAtildecedil4] uacute_^J^ xUiquestE`currenagravegcedilAtildefrac149frac14draquoiEcirc$frac12Atilde5raquoordmdAacuteIcircyIgrave(sup1raquoEuml

sup1Igrave(sup1Ocirc5sup1raquoordm sup3iAumlCcedilgAEliggOgraveuAumldcedilAEligwIcircifrac14OumlPAtildeyAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo13aIuml xQ|||~pwl~ lnrRtcodoOtildex4shyl not vsectEgravepwo4v tu notordf v Ew iquest qEz+yqzqE Iumlyen=AtildeOcirc5Ocirc5sup1RiquestagraveyIumliquest5agrave0Iuml5ETHEgraveAEligfrac14dsup1Riquestfrac14draquo~Ecirc$agrave0Iuml Ucirc sup1frac12frac12AEligwUgraveLfrac34] uacute4^z^J^ iquestJ` agraveaeligAEligqAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12Ufrac14dOumlOumlcedilAumlnfrac14Agrave IcircampAacuteAumlgAEligwraquo~frac14dUgravenAtilde5AElig]OgraveuAumlcedilWEacutesup1Igrave(AumlUEcircfrac14dfrac12frac14draquoiEcircAacutewcedilsup1Igrave(AumlUEcirc~frac14frac12isup1Igravefrac14dordmdAtildecedilwfrac34aIumligraveraquo13] x4rv p ildrRtcodil|eodv pwv P4vyodx4shyl not vgsectpqo v tu not IumlAb$AumldEacutePAtildednfrac14dOuml~frac14draquoIumlreg]IcircUAringiquest]atilde]Iumlfrac14raquoiEcircaumlagrave0Iumleyen=Aringsup1frac12frac12AtildeJ] uacute_^J^ xUiquestpound` szlig9Atilde5ordmdsup1AumldraquotimesAgrave5AumldIgrave(OumlPAtildeAacutesup1currenAacutesup1Auml|raquo13]iAring~raquo~sup1currenOgraveYacutefrac34sup1raquoordmiexclAEligwraquo~frac14dUgravenAtilde5AElig5iquestPcedilAtildeordm|sup1Auml|raquoTordmdcedilAumlCcedilgsup1raquo~ordmiquestfrac14draquoiEcircZEgravefrac145frac34LAtilde5AEligacute|aacuteTHORNOgraveregAumldcedilIgraveFAring~frac12currenAacutesup1Eacuteifrac14raquoiEcirc sup1Igravefrac14ordm|AtildeTAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo13aIuml xQ|||micro~pwld lnrRtcodtimesosect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4v Icent iquesteJ q+yU^dugrave|ugrave Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfo

i $amp)(+-)013021+345627893lt=gt9A6CBfrac12OcircacuteIshyNT

frac12OcircacuteIltNTpara frac12frac34EMeJaumlQcYZYZjJUacuteQsY H [ ^QEgraveJLhZJUO H QcN H J H MeJordfXiacute[]fcfR[WQcO[Oslash^e[]ZaringNPQsOXiacutejOb H QR[]ONPfdaringocirc|adOuml times jOcircaacute uuml times a2atildeltszligaumlgtszliglOuml times j atilde auml

G QsObnJ H MJeumlYZJ H [SXIacuteNPfcfUacute^e[]ZaringNPQsOYMNPY Oe[ H N Y H hjb H jhZJ`[SXUPJUb H [PhQcNPfOtildeYZKNPbnJSefRJ H jYZ N`PJ H MeJeumlhZJ[]QR[]OYJUP[]fVUPJ H MehZ[]j[]M NrXqNSZaringQcfVm [SX H hNPOYYX[PhlZ N H QR[]OYa(|aagraveszlig jj emiddot iacuteaumlYlZOslash[[ H MaNPO^ centQ ~JUb H QVUPJS^ not [PhNOslashKEgrave[]QcO H $ aacute atildeshyszligaumlN eFWFJTOe[ H JSaring$ aagravej|aacutemiddot|aagraveszlig $ j WiexclQ H M |a s szlig $ jaacute $OumlcopytimesaagravejOcircaacutemiddot|aagraveszliglOumlutimesdj WiexclQ H M |a s szliglOumlcopytimesAjOcircaacuteAumlOumlutimes9J H jY H MeJUO^JOeJ H MeJordfUPJUfR[WbLQ H moUPJUb H [PhdY JUfs^kfrac12 YZjbM H MN H aringfrac12sup1aagraveszlig $ aagravejj|aacute aelig |aelig agrave aagraveszlig $ j YlaquoXiacuteNiharingNPY H MeJ bn[]ZOslashKj H N H QR[]O[SX H MeJ ^eJLhQU~N H QVUPJ QcYOslashbn[]ObnJLhOeJU^OeWFJNihZJQcOWVH JLhZJUY H JU^ QcO YYZaringNPfcfOtilde^JX[PhlZ N H QR[]OY^ J H MBjYJkWKNPO^ H MeJ H hNPOYX[PhZaringN H QR[]ONPbLbn[Ph^QcO[ H [hdY H [Ph^eJLh NmWfR[PhyacuteXiacute[PhlZtimesjfcNaring|aagraveszlig $ jpoundaacuteAElig|a s szlig $ j agrave aelig |aelig agrave a s szlig $ jaacute $ ragrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacute frac14 frac14 a s szlig $ j^ J H MeJUOQcO H hZ[W^jbnJ H MehZJLJgZ NPQcO^eJOQ H QR[]OYaringf^QMeJg0jfRJLhQcNPO^eJLhQU~N H QVUPJOtilde[SXocirc|adOuml times jordfaqQcO H MeJIacute^QRhZJUb H QR[]O[SXcedilfrac12jaring ocirc|adOumlcopytimesszlig_frac12jOcircaacutefcQZUcedil iacute ocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave admacrfj ^QMeJgZaringN H JLhQsNPfg^eJLhQVUiN H QVUPJOtilde[SXuumlStimesYa $ szliglOumlcopytimes)jaringsup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j|aacutefcQZUcedil iacute uumlStimesa $ ragrave3frac12ba $ jszliglOumlutimes agrave3frac12sup1a $ jj uuml]timesa $ szliglOumlcopytimesdjagrave admacr j^QMeJaumlYZMNiKEgraveJOtilde^eJLhQU~N H QVUPJOtilde[SXOcircuuml]timesa $ szliglOumlutimes)jaring

uumlnotraquotimes a $ szliglOumlcopytimesUcircszlig_frac12 jaacutefcQZUcedil iacute uumlStimesYa $ szliglOumlutimesragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave admacrS]j

uumlnyacutenthornnyumll13YSordmY_Fordfy

yenKbrvbarsect =4 acirc $ hq centUWQR[]jYZfVmSe-centmaJkBKNPO^QcO[ admacr jUacuteNPbLbn[Ph^QcOF[ H [hdY H [Phd^eJLhordfNmBfR[PhordfXiacute[PhlZtimesjfcNeWFJaumlMNUPJSaring sup1uumlStimesYa $ szliglOumlcopytimesUcircszlig_frac12 jaacuteAumluumlnotraquotimes a $ szliglOumlcopytimesszlig_frac12jhuumlStimesa $ szliglOumlcopytimes)j frac12sup1a $ j admacrj J H MeJUOabn[]ZOslashK-j H JZOslash[PhJaumlKhZJUbLQcYZJUfVm H MJ0jfRJLhQcNPO ^eJLhdQVU~N H QUPJauml[SXcopyocirc|adOumlcopytimesdj^ JMNUPJSaringocircOcircadOumlutimesaagravejj ocircOcircadOumlutimes)jagrave aacute fagrave = thorn yuml uuml times a $ aagravejszliglOuml times aagravejj $ uuml times a $ szliglOuml times j $ FH admacrSmacr]j5O H MJohY H QcO H J[PhdNPfdeltWFJZaringN`PJ H MeJU~NihdQcNicentfRJ bMNPO[PJ $ aagravejaacute $ agrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacuteethicirc7a2atildeshyszligaumlFjszligicirc cent a2atildeltszligaumlj eWMQcbdM[]QVUPJUYaring thorn yuml uuml]timesYa $ aagravejszliglOumlcopytimesYaagravejj $ aacute admacrS]j

5 uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlutimes agrave3frac12sup1a $ jjlt^eJ H ocirc a $ jlt $WMJLhZJocirc a $ jQcY H MeJgXiacute[]fcfR[WQcO[aringSNPbn[PcentQcNPOtZaringN H hdQkKaring

ocirc a $ jaacute oacute fcedilxagrave frac14 iacute oslashfrac14Uordm agrave frac14 iacute oslashfrac14 ugraveagrave frac14 iacute acircfrac14ordm fcedil agrave frac14 iacute acircfrac14 ugrave ocircNPO^ YZ[eFWNtildeJIacuteMNUPJSaring

^eJ H ocirc a $ jOcircaacute fUragravee^QVUKafrac34frac12sup1a $ jjragrave cent ^eJ H amacr frac12sup1a $ jjMJUOWNtildeJauml[Pcent H NPQcOOaring

fsQZcedil iacute ^eJ H ocirc a $ j fagrave aacute ^QVUKafrac34frac12sup1a $ jj admacr]zSjMJJBjN H QR[]OxadmacrSmacr]j H MeJUOcent=JUbn[]ZaringJUYaringocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave aacute fagrave middot uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jjlt 13raquo ocirc a $ jlt $ uumlStimesa $ szliglOumlcopytimesAj $ admacrSi]j JTbLNPO`YZjeKKEgrave[]YJ H MN H ^eJ H aocirc a $ jjfrac14aacute sfrac12 agrave frac12 $ ^ JZaringNm H MeJUO H N`PJ^eJ H aocirc a $ jjfrac34 s eNPO^ WNtildeJ ^eJUPJUfR[PK H MeJaJkWKhZJUYYZQR[]OadmacrSi]j NPYoX[]fsfR[WQsO[centmNP^^QcO[aringN H JLhZ QcO H MeJIacuteYZJUbn[]O^aQcO H J[PhNPfltWMQcfcJaumlYZjeKKhJUYZYZQcO[ H MeJtimesYZNSZOslashJ H JLhlZQcO H MJordfhY H QcO H J[PhNPfdaring ocirc|adOumlcopytimesYaagravejj ocirc|adOumlcopytimes)jagrave aacuteegraveOtildef1rOtilde cent admacrSh]j

uumlnyacutenthornnyumll13YSordmY_Fordf

s $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJSaring

Otilde aacute uuml]timesa $ ragrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave ^eJ H aocirc a $ jj $ ad s jOtilde cent aacute uuml]timesa $ szliglOumlcopytimesdj ^eJ H aocirc a $ jj fagrave $ adfj

9J H jY_ZaringN`PJordmagrave H JUO^ H [WNih^Y s ^curreniquestYZQcO[frac34admacrjiexclNPO^JOQ H Qc[]OYadmacr e macrS]jeWFJ[PJ H aringfcQZUcedil iacute Otilde aacute sup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j $

aacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ uuml times a $ szliglOuml times j frac12sup1a $ j $fcQZUcedil iacute Otilde cent aacute uuml]timesa $ szliglOumlcopytimesdj^QVUKafrac34frac12 j $

O^ Y[Xiacute[Ph H MeJgNtildejfRJLhQsNPO ^eJLhQVUiN H QVUPJSeWFJgO^Oaring ocirc|adOuml times szlig_frac12jumlaacuteyacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ amacrreguumlStimesYa $ szliglOumlcopytimes)j frac12sup1a $ j7 uuml]timesYa $ szliglOumlcopytimes)j^QVUKafrac34frac12sup1a $ jjj $aacute uumlnotraquotimes a $ szliglOuml times szlig_frac12j $ ^QVUKaduuml times frac12j $ ad j

MeJUO NiKKfVmWQcO[ H MJ hJLJUOWVAQRJZ NPOO H MeJL[PhZJZQcO ad jeWNtildeJ5ONPfcfmtimes[Pcent H NPQcOOaring ocirc|adOumlcopytimesszlig_frac12jOcircaacute uuml raquotimes a $ szliglOumlcopytimesUcircszlig_frac12j $ uacutefrac14 5 uuml]timesYafrac34frac12 eacuteAgraveiquestsup1AacuteAtildeAcircj THORN adS]jWMJLhZJ5eacuteAgraveiquestsup1AacuteAtildeAcircyQcY H MeJUacutejOQ H QcOOgraveWNih^ Oe[PhlZaringNPf H [ aelig OumlcopytimesUcirc^MeJ_NtildejfRJLhQcNPO ^eJLhQVUiN H QVUPJQcY(O[ H JU^ ocirc raquo aagravej(QcO H MeJaumlKNiKEgraveJLhNPO^ H MeJaumlYZMNiKEgraveJauml^eJLhQU~N H QVUPJyuuml raquotimes QcY(Oe[ H JU^ frac14 frac14 ^iquest acutemicrosup1cedilFLft not [PhyYQZOslashKfcQsbLQ H mSeWNtildeJ(bM[[]YJ H MeJcopyXiacute[]fcfR[WQcO[_U~NihQsN H QR[]OaeligQcO H MeJKhZ[B[SXaring$ aagravejaacute $ agrave3frac12sup1a $ j^MJiexclKh[[SXZaringNm NPfcYZ[IacutecentEgraveJiexcl^JUPJUfR[PKEgraveJU^WiexclQ H MZaring[PhZJ_[PJUOJLhNPfUiNihQcN H QR[]OYFYjbM NPYaring $ aagravejaacuteAacuteAgravea $ szligYagravejWQ H MAcircAgrave`NOslashYYZOslash[B[ H MXiacutejOb H QR[]ONPO^AcircAgravea szligYagravejcentQ ~5JUb H QVUPJS^

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ ffrac12OcircacuteIshyNT AcircE J(MNUPJ H [Otildebn[]ZOslashK-j H J H MJNtilde^QEgraveJLhZJUO HH JLhZaringY9[SXQa macr]j9QsOauml[Ph^eJLh H [Uacute[Pcent H NPQcO H MeJ

JUP[]fcj H QR[]OJBjN H QR[]O[SX H MeJ NPb H QUPJ bn[]O H []jehX[Ph H MeJ ^JUYZbnhQRK H [PhdYaumlcentNPYJU^Oacute[]OH MeJ(bn[U~NihQsNPObnJ ZaringN H hQVktimes^eJ H JLhlZ QcONPO H a2Ograveh]j^OgraveMeJ(bn[]ZOslashKj H N H QR[]OaringQcYampKEgraveJLhYXiacute[PhlZOslashJU^Xiacute[Ph H MeJIacute^eJUYZbnhQRK H [Ph_uuml thorn timesOslash yuml ^ q centUWQR[]jYZfmSeN YZQZ QcfcNihbn[]ZOslashKj H N H QR[]OabLNPOacent=JIacute^e[]OeJXiacute[PhOcircuuml thorn UgraveUcircUacuteUuml yuml ^ JiexclbLNPOaeligJkBKhJUYZYOcircuuml thorn timesOslash yuml NPYyNUacutebn[]ZTcent-QcON H QR[]Oaelig[SXgtXiacutejOb H QR[]OYamp^eJLKEgraveJUO^QcOF[[]O H MJOtildehZJ[]QR[]OwOuml timesOslash aring

uumlgtthorn times Oslash yuml a2atildeltszligaumlgtszligYagravejaacute`Ograveoacute m thorn timesOslash yumlaIgraveagrave thorn timesOslash yumlAtilde j cent ocirc adjWMJLhZJordmaacuteAuml85eWiexclQ H MAring8 H MeJordfXqjOb H Qc[]O QcO H h[B^jbnJU^ QcOpounda2Ograveh]je-NPO^aringm thorn timesOslash yuml aacute agrave thorn timesOslash yuml agrave thorn timesOslash yumlcent agrave thorn timesOslash yuml agrave thorn timesOslash yumlAElig agrave thorn times Oslash yumlCcedil agrave thorn timesOslash yumlEgrave agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlEgrave j cent agrave thorn times Oslash yumlcent aIgraveagrave thorn timesOslash yumlCcedil j cent agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlAElig j centWQ H MOaring EFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFH

agrave thorn timesOslash yuml aacute w$ thorn yuml aOtilde S times Oslash j cent atilde aumlagrave thorn timesOslash yumlcent aacute w$ thorn yuml aOtildeOgravecent Scenttimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yuml aacute w$ thorn yuml aOtildeS Stimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yumlAElig aacute w$ thorn yuml aOtilde S times Oslash jaOtildeOgravecent ScenttimesOslash j atilde aumlagrave thorn timesOslash yumlCcedil aacute w$ thorn yuml aOtilde S times Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlEgrave aacute w$ thorn yuml aOtilde cent S centtimes Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlAtilde aacute w$ thorn yuml atilde auml O^ Y[ H MJordfXiacutejOb H QR[]OY aelig thorn timesOslash yumlauml MNUPJ H MeJgXiacute[]fcfR[WiexclQcO[aeligJkBKhZJUYZYZQR[]OYaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

aelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlcent aacute aOtilde cent S centtimesOslash j centaelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlAElig aacute aOtilde S timesOslash jaOtilde cent S centtimesOslash jaelig thorn times Oslash yumlCcedil aacute aOtilde S timesOslash jaOtilde S timesOslash jaelig thorn times Oslash yumlEgrave aacute aOtildeOgravecent ScenttimesOslash jaOtilde13 StimesOslash jaelig thorn times Oslash yumlAtilde aacutemiddotf

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBnot h[]Z H MeJUYJaumlJkWKhZJUYYZQR[]OYeWFJOtildeJUNPYZQcfm ^eJU^jbnJ H MN H aring

$ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde aumlregaacute sEacutefrac12poundEcirc iuml

J H MeJUO MNUPJ H [Tbn[]ZaringKj H J H MeJ H JLhlZaringY eacute thorn times Oslash yumlauml XiacutehZ[]Z H MeJJkWKhZJUYZYQR[]OYamp[SXagrave thorn timesOslash yumlauml eWMQcbM fRJUNP^Y H [aringEFFFFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFFFFH

eacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideoslash aacute w$ thorn yuml uacute ouml $ordfdivideacirc uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIgrave yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H a timesOslash jjeacute thorn timesOslash yumlcent aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideacirc

aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIcirc yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideEuml aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideacirc thorn thorn uacute ouml $_divideIuml yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yumlAElig aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIuml aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideEuml uacute ouml $ordfdivideIuml thorn uacute ouml $_divideIcirc uacute ouml $ordfdivideIgrave yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlCcedil aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIcirc aacute w$ thorn yuml cent thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideacirc uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlEgrave aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIgrave aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideoslash uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlAtilde aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIacute aacute w$ thorn yuml thorn +ETH ouml $_dividethorn uacute ouml $ordfdivideIacute yuml Iuml 8 raquo aq^J H a timesOslash jj

O^centmJkWKhZJUYZYZQsO[ H MeJbn[UiNihQcNPObnJZaringN H hQVkpoundWQ H M H MJregXqjOb H QR[]OYagrave thorn timesOslash yumlauml NPYXiacute[]fcfR[WQcO[aring

timesOslashlaquoaacute 1NtildeNtildeNtildeNtildeNtildeNtilde3uacute ouml $ordfdivideoslashuacute ouml $ordfdivideIacute uacute ouml $_divideIumluacute ouml $_divideIacute uacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIumluacute ouml $ordfdivideIacute uacute ouml $_divideacircuacute ouml $_divideIacute uacute ouml $ordfdivideIgraveuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacute uacute ouml $_divideIgraveuacute ouml $_divideIacute uacute ouml $ordfdivideEumluacute ouml $ordfdivideIacute

6OgraveOgraveOgraveOgraveOgraveOgrave7 J H MJUO^eJU^jbnJSaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

eacute thorn times Oslash yuml aacute a fj thorn yuml ^eJ H aDC Ptimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlcent aacute a fj thorn centcent yuml ^eJ H aDC centcenttimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yuml aacute a fj thorn curren yuml ^eJ H aDC 4times Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlAElig aacute a fj thorn cent yuml ^eJ H aDC centtimes Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlCcedil aacute a fj thorn curren yuml ^eJ H aDC times Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlEgrave aacute a fj thorn centcurren yuml ^eJ H aDCcent4times Oslash j48 raquo aq^eJ H a timesOslash jjeacute thorn times Oslash yumlAtilde aacute amp^eJ H a timesOslash j48 raquo aq^eJ H a timesOslash jj

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ SWMJLhZJC EBtimesOslash QcY H MeJgZaringN H hdQk ^eJU^jbnJU^Xh[]ZOacutetimesOslasharingcentm YZjeKKhZJUYZYZQcOF[ H MeJyuuml UumlON hZ[WNPO^ H MJ I UumlON bn[]fcjFZaringOO^]MeJbn[]ZOslashKj H N H Qc[]OordmX[Ph H MeJ^eJUYZbnhdQRK H [Ph|uuml thorn UgraveUcircUacuteUuml yuml QcYyYQZaringQcfcNihNPO^WFJ H MeJUOOslashMNUPJNPfcf H MeJ(JkWKhZJUYZYZQc[]OY H [aumlbn[]ZOslashKj H J H MeJJUP[]fcj H QR[]OaeligJjN H QR[]OXiacutehZ[]Z H MeJg[PJUOJLhNPfOXiacute[PhlZIacutejfcNta macr]j^gtMQcYcopy[]QVUPJUY H MeJTJUP[]fcj H QR[]O JBjN H QR[]Osup1admacr s j^

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBΩ out

Objects

Γ

inΩ

inΩ

Background Part

-t not Upv copy ETHEgraveIcircAtildeampAacuteiacuteCcedil=AumlFcedilAtilde5ordm|sup1Aumldraquo~AElig9AumldOgravefrac14raquoUacutesup1Igravefrac14dordm|Atilde

Ω

Ω out (τ)Ω

(τ)in

N

Γ(τ)

Ω

N

v

w

N

-t not Upv ETHEgraveIcircAtildeyEcircAumldIgravefrac14dsup1raquo~AEliggfrac14raquoiEcircAacuteIcircAtilde$AcircnAtilde5AgraveAacuteAumlcedilAEliggsup1raquoUAcircnAumldfrac12AcircnAtildeEcircsup1raquoiexclAacuteIcirc~Atilde$EcircAtildecedilsup1Acirc|frac14ZAacutesup1Aumldraquo

uumlnyacutenthornnyumll13YSordmY_F2ordf

yenKbrvbarsect =4 acirc $ Smacr

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 Atilde|IumligraveAacuteAtildecedil4frac14ZAacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvyzU eacuteWsup1ordm|AringcedilAtilde5AEligfrac14iquest Eacuteiquest AgraveJ]iUumlAcircnAumldfrac12AringAacutesup1Auml|raquoOtildeAumlOgraveeAacuteIcirc~Atildeyfrac14dAgrave Aacutesup1Acirc|Atilde0AgraveAuml|raquoLAacuteAuml|AringcedilIgravefrac14raquoifrac14ordm|AtildeEcircUacuteEacuteLfrac34AacuteIcirc~AtildefTHORN$Uuml v qzqwsup1raquo~Agrave5frac12AringiEcircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquoifrac14frac12ampAacuteAtildecedilIgrave(AElig5IumlgeacuteWsup1ordm|AringcedilAtilde5AEligOtildeEcirc]iquest Atildediquest Ograve] g sup1AEligwAringifrac14frac12sup1Ocirc5frac14Aacutesup1Auml|raquo`AumldOgrave0AacuteIcirc~AtildeTAgrave5AumldcedilwcedilAtilde5AEligwOumlPAumldraquoiEcircsup1raquoordmAcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 OgraveuAring~raquoAgraveAacutesup1Auml|raquosup1raquo~Agrave5frac12Aring~Ecircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquo~frac14dfrac12ampAacuteAtildecedilIgrave(AEligraquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirc EacutePAtildeAacuteiacuteCcedil=Atilde5Atilde5raquo ugrave frac14draquoiEcirc divide JUiquestAEligwAring~Agrave4IcircTAacuteIcirc~frac14Aacute$AacuteIcircAtilderaquo~Atilde5ordm|frac14Aacutesup1AcircnAtildeAcircdfrac14dfrac12AringAtilde5AElig0frac14cedilAtildefrac12AumlCcedilEgraveAtildecedilyAacuteIcirc~frac14draquo uacutedivide Uacutefrac14raquoiEcircaumlAacuteIcirc~AtildeOumlPAumldAEligwsup1Aacutesup1AcircnAtilde(Aumldraquo~Atilde5AEligyfrac14ZcedilAtilde(Icirc~sup1ordm|IcircAtildecedilAacuteIcircifrac14raquo uacuteZdivide Iuml

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

Ecirc]Iumligraveraquo~sup1currenAacutesup1frac14dfrac12BAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 Atilde|IumligraveAacuteAtilde cedil4frac14Aacutesup1Auml|raquo ugravedugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not Upv ucirc eacuteWsup1ordmdAringcedilAtilde5AEligtimesfrac14iquest Eacuteiquest AgraveJ]ampUumlAcirc|Auml|frac12AringAacutesup1Auml|raquoAumlOgrave(AacuteIcirc~Atildearingfrac14AgraveAacutesup1AcircnAtildeOslashAgrave5Auml|raquoLAacuteAumldAringcedilIacuteIgravefrac14draquoifrac14ordm|AtildeEcirc`EacuteUfrac34AacuteIcircAtildeOcircfTHORN$Uumlv q w iquestiexclCcedilgsup1currenAacuteIcirc~AumldAringAacuteAacuteIcirc~Atildefrac14dEcirc~Ecircsup1Aacutesup1Aumldraquoifrac14dfrac12TAacuteAtildecedilIgrave(AElig5IumliexcleacuteWsup1ordm|AringcedilAtildeAElig Ecirc]iquest Atildediquest Ograve] g sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo AumlOgraveaeligAacuteIcirc~AtildeAgraveAumldcedilwcedilAtildeEumlAEligwOumlPAuml|raquo~Ecircsup1raquo~ordm AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 OgraveregAring~raquo~Agrave Aacutesup1AumldraquoeumlCcedilgsup1currenAacuteIcirc~Auml|AringAacuteIacuteAacuteIcircAtilde frac14|Ecirc~Ecircsup1currenAacutesup1Aumldraquoifrac14frac12FAacuteAtildecedilIgrave(AElig v raquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirceumlAEligwAring~Agrave4Icirc AacuteIcirc~frac14AacuteIgravefrac14icirc vOOtilde wpOumldivide z w Iuml

uumlnyacutenthornnyumll13YSordmY_F2

S $amp)(+-)013021+345627893lt=gt9A6CB

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIumligravesAacuteAtildecedil4frac14Aacutesup1Aumldraquogt ugrave|ugrave AgravedIumlieacuteWsup1raquoifrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12Acirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 AtildedIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIumlieacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvtimesLg sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo(AumldOgravePAacuteIcirc~AtildeAtildeAcircnAuml|frac12AringAacutesup1AumldraquoAumldOgravePAacuteIcircAtildeEgraveAgrave5Auml|raquoLAacuteAumldAringcedil-frac14draquo~EcircNtildeAacuteIcirc~AtildeEgraveAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 v Ccedilgsup1AacuteIcircAuml|AringAacuteAacuteIcircAtildeEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircFAacuteAtilde cedilIgrave w OgraveregAumldcedilEgraveAacuteIcircAtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoAumlOgraveAacuteIcircAtilde9Ograveufrac14dAgrave5AtildeAring~AEligwsup1raquo~ordmyAacuteIcirc~Atilde9Agrave5AumlZAcirc|frac14Zcedilsup1frac14draquo~AgraveAtildeIgravefrac14Aacutewcedilsup1currenicirc]Iuml

frac14Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcircnAtilde EacuteIumligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 v AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde w Agrave|Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacutefrac34 v Acircdfrac14cedilsup1frac14draquoAgrave5Atilde w-t not Upv h=AumldIgrave(Oumlifrac14cedilsup1AEligwAumldraquoOtildeAumldOgraveAacuteIcirc~Atilde$sup1raquo~sup1currenAacutesup1frac14dfrac12eAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34iexclAgrave5Auml|Igrave(OumlAringAacuteAtildeEcircAringAEligwsup1raquo~ordmAacuteIcirc~Atilde$AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde0Igravefrac14Aacutewcedilsup1currenicircv iordmdAringcedilAtildeFEacute w AacuteAumliexclAacuteIcircAtildeAuml|raquoAtildeFAgrave5AumldIgrave(Ouml~AringAacuteAtildeEcircTAringAEligwsup1raquo~ordmiexclAacuteIcircAtildeFAcircdfrac14cedilsup1frac14draquoAgrave5Atilde v ~ordm|AringcedilAtildeFAgrave w OgraveregcedilAumldIgrave AacuteIcirc~AtildeNtildeAEligfrac14dIgrave(Atildesup1raquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcirc|Atilde v iordmdAringcedilAtilde$frac14 w Iuml

uumlnyacutenthornnyumll13YSordmY_F2_a

yenKbrvbarsect =4 acirc $ ]z

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv Oslash| THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5AtildeccediliacuteAtildecedilsup1UgraveUegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_o

Si $amp)(+-)013021+345627893lt=gt9A6CB

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv ordf THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5Atildeccedilqfrac14dUgraveUsup1currenfrac34LAumldegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_y

RR-0114-SJEHANpdf
  • wwwi3sunicefr
    • httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf
Page 32: LABORATOIRE INFORMATIQUE, SIGNAUX ET SYSTEMES DE …mh/RR/2001/liste-2001.pdf · 2002. 6. 27. · [Dir01] DIRAT L. “Outils pour des Mathématiques Interactives et Distribuées”

S $amp)(+-)013021+345627893lt=gt9A6CBEIumlparaacuteAgravegtmicrosup1acuteIKJcedilJT2MgtI MraquoordfAEligMgtsup32MLwMKmicrobMgtAgraveacuteIshyacuteMgtPltAtilde iquest acuteAgraveKT13MKIshyAtildeAcirclaquocedilFAtildeacuteNicircMKIJfrac14ltacutepoundAEligMAringcedilFLT2cedilIltR]acuteHcedilJLTOcircfrac12sup3T13ROgravecedilJT2MgtI JMAgraverltcedilFR]acuteacuteJacuteR]JT2MgtIicircT2ItT2NQacuteM paraacutePshyacuteIltR]acuteAtildeMQcY0K-Nih H ^eJUNPfcYWQ H M H MeJOtildeYJ[]ZOslashJUO H N H QR[]O [SXMe[]ZOslash[S[PJUOeJL[]jY(hZJ[]QR[]OYQcOZtimesjfuVH QcYZK=JUb H hdNPfQZaringN[PJUY^ YNPOaJkWNSZaringKfRJSeWFJIacuteYZMe[W H MN HiexclH MeJTbn[UiNihQcNPObnJZaringN H hQVkbLNPOacent=JIacuteNUPJLhYm KEgrave[WFJLhYXqjf H [B[]f H [ YJ[]ZOslashJUO H Me[]Zaring[S[PJUOeJL[]jYbn[]fR[PhiexclhJ[]QR[]OY^F5OXqNPb H e H MeJtimes^eJ H JLhlZaringQsONPO H [SX H MeJTbn[U~NihQsNPObnJZ N H hQkKhZ[UPJUY H [ centEgraveJIacuteNaringhJUfRJU~NPO Hbn[]fR[PhaelighZJ[]Qc[]O7M[]ZOslash[S[PJUOeJUQ H msup1ZOslashJUNPYZjhZJZOslashJUO H a G NPO[SWQcOeJ NPO^r[PhdOeJSeufhShSi]j^_`QcOQZ QVcurrenUQcO[ H MQcYjNPO H Q H m ZOslashJUNPOY H MN H WFJwWNPO HH [^eJUbnhZJUNPYJ H MeJeumlbn[]ZaeligVKfcJkWQ H m[SXUacuteNeumlhZJ[]QR[]Oa hdNmJ H NPfd^Ve sSs fampN H JUjke sSsSs j^MQcY H [B[]fuZaringNmKhdNPb H QcbLNPfcfVm cent=JaumljYJU^X[Ph XiacuteNPbnJtimes^eJ H JUb H QR[]OaQsO QZaringN[PJaumlYJBjeJUObnJUY^macr^f^laquoIgraveIcirc=KEgrave(FETHOEacuteltEgraveIcircEcircgtNtildeltIcircIgrave8 EacuteshyOacute ETH9IgraveAgrave=Eacute3+NtildeshyEgrave13NtildeshyOacute=KIgravefrac34Iacute_NtildeFETHEgraveEcirc20EacuteshyEgrave=EacuteshyEumlEacuteshyEgrave2Iacute Ntilde4ltIgraveIcircMJQcO H JUOYZQ H mxXiacute[Ph bn[]fR[Ph QCZaringN[PJUYaringQcYOslashhJLKhZJUYJUO H JU^centm7NpoundXiacutejOb H QR[]OOtildeegravearingOumlOtilde 13ordfcent ntilde Otilde 13 WMeJLhZJ Otilde aacute Otilde szligYOtildeOgravecentszligYOtilde13ordf ^iexclXm NPONPfR[S[SmAumlWQ H M H MeJOacuteY H j^Fm Xiacute[Ph[PhZJmWYZbLNPfRJFQZaringN[PJUYeWNtildeJZaringQcOQCZaringQVcurrenLJ H MeJNtilde^J H JLhlZaringQcONPO H [SX H MeJFbn[UiNihQcNPObnJcopyZaringN H hQVk[SX H MeJTbn[]OYQc^eJLhZJU^hZJ[]Qc[]OY^ J5ZaringNmaringNPYYZjFZOslashJ H MN H JUNPbdM bn[]fR[PhFhZJ[]QR[]Oacute13 QsYOcircZOslash[W^eJUfcfRJU^OslashcentmOslashNg[]NPjYYZQcNPO^QsY H hQRcentj H QR[]Oeuml[SXyacuteZOslashJUNPOiexclSegraveaacute S szligPS cent szligPS NPO^7bn[UiNihQcNPObnJZ N H hQk5^MeJKh[PcentNicentQcfcQ H maring^eJUOYQ H moXiacutejOb H QR[]O QcYu[]QUPJUO centm H MeJgXiacute[]fcfR[WQcO[aeligJkWKhZJUYZYQR[]OOaring

$ampamp aOtildejOcircaacute fa )( j +cent aq^J H ayacutejj cent JkWK- f aOtilde Sltj thorn aOtilde Sltj a2Ograve]jG [eZaringQcOQZaringQVcurrenUQcOF[ H MJbn[U~NihdQcNPObnJuZaringN H hQktimes^eJ H JLhlZaringQcONPO H [SX-NPOtimesJUP[]fVUWQcO[hJ[]QR[]ONiKKEgraveJUNihY H [OslashcentEgraveJNtimeshZJUfcJU~NPO HH [[]f H [ordmZaringN`PJ H MQcYFhZJ[]Qc[]O bn[]OUPJLhY[PJ H [WFNih^Y H MeJbLfR[]YZJUY H Me[]ZOslash[S[PJUOeJL[]jYbn[]fR[PhiexclhZJ[]QR[]OO^9J H jY$Oe[ H J timesOslash NPO^0copyUgraveUcircUacuteUuml H MJbn[UiNihQcNPObnJ5ZaringN H hQcbnJUYy[SX=hJUYKEgraveJUb H QVUPJUfVmordmOuml timesOslash aagravejNPO^tOuml UgraveUacuteUuml aagravejaring

atilde aacute213 u Patilde u centatilde u atildeu cent atilde u centcentatilde u cent4atildeu5 atilde u5centatilde u54atilde67 a2zSj

WMJLhZJSaringEFFG FFH u times aumlatilde aacute iacutefaring w aring thorn yuml aOtilde times S times atilde jaOtilde auml S auml atilde j atilde aumlS times atilde aacute iacutefaring w aring thorn yuml Otilde times a2atildeltszligaumlj atilde auml WQ H M aacuteiVIgraveOacute[Ph Kf5

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ J [PcentUWQR[]jYZfm`MNUPJacuteu times aumlatilde aacuteu auml timesatilde ^shy9J H jYaumlO[ H J ^eJ H a atilde j H MJ ^eJ H JLhlZaringQsONPO H [SXH MeJaumlbn[U~NihdQcNPObnJZ N H hQkWiexclMQcbMJkBKhJUYZYZQR[]O QcY H MJgX[]fsfR[WQsO[aring

^eJ H a atilde jumlaacute u Patilde u centcentatilde u 4atilde u centatilde u atilde u cent4atilde u Patilde u cent4atilde u cent4atilde u centcentatilde u atilde u atilde u 4atilde u centatilde u centatilde a2Ogravei]jnot jOb H QR[]OY [SX H MeJeumlbn[UiNihQcNPObnJpoundZaringN H hQk ^eJ H JLhZaringQcONPO H YNihZJ jYJU^ NPY hJ[]QR[]O^eJUYbnhQRK H [PhY^ JIacutebMe[B[]YJ H MJordfX[]fcfc[WQcOF[aeligYZJ H [SX$^eJUYZbnhQRK H [PhYaringEFG FH uuml thorn UgraveUcircUacuteUuml yuml aacute98ordfaq^eJ H acopyUgraveUcircUacuteUumlAjjuuml thorn timesOslash yuml aacute98ordfaq^eJ H a timesOslash jjuuml thorn otilde)yuml aacuteOslashb a2Ograveh]jWMJLhZJ8ordfaOgravejFQcYNOslashKEgrave[]YZQ H QVUPJiexclXiacutejOb H QR[]O [SXampbLfcNPYZYograve aOtilde 13yjFNPO^Cb`NOslashKEgrave[]YZQ H QVUPJOtildebn[]OWVY H NPO H ^gJ H jYNtildeOe[W WhQ H J H MeJJUP[]fcj H Qc[]OaringJBjN H QR[]O [SX H MeJiexclNPb H QUPJbn[]O H []jehcentmbn[]ZOslashK-j H QcO[ H MJIacute^QEgraveJLhZJUO HH JLhlZaringYiexcl[SX_a j^J H NPQcfcYiexcl[SX H MeJIacutebn[]ZaringKj H N H QR[]O bLNPOcentEgraveJgXiacute[]jO^QsOaNiKKEgraveJUO^QVk X5^gtMJaumlJUP[]fcj H QR[]O`JBjN H QR[]O[SX H MJIacuteNPb H QVUPJaeligbn[]O H []jhQcY H MJgX[]fsfR[WQsO[aringaelig Yacuteaagravejaelig agrave aacute8gaq^eJ H atimesOslashjj 8ordfaq^eJ H a UgraveUcircUacuteUuml jj`b admacr s jlt8Icircraquodaq^eJ H a times Oslash jgt= ccedil A B egrave aOtilde S timesOslash jaOtilde B5 S BtimesOslash jB^eJ H aDC EBtimesOslash ja fj BGFH amp^eJ H atimesOslashj48 raquo aq^eJ H atimesOslashjj 8Icircraquodaq^eJ H a UgraveUacuteUuml jgt= ccedil I B egrave aOtilde Eacute S UgraveUcircUacuteUuml jaOtilde B S BUgraveUcircUacuteUuml jB^eJ H aDC JBUgraveUacuteUuml ja fj BKFH amp^eJ H a UgraveUcircUacuteUuml j48 raquo aq^eJ H a UgraveUcircUacuteUuml jjcedil13eacuteMJZaringN H hdQkLC JBatilde QsY ^JU^jbnJU^icircXh[]Z H MJeumlbn[U~NihdQcNPObnJbZaringN H hdQkM atilde centm YZjeKeVKhJUYZYZQcO[ H MeJ uuml UumlON hZ[WENPO^ H MeJ I UumlON bn[]fcjFZaringO^MeJeumlfcNPY H Xiacute[]jeh fsQcOeJUY [SX H MeJJBjN H QR[]ONihZJ H MeJOtildeNP^^Q H QR[]ONPf H JLhZaringY(bn[]ZaringQcO[XiacutehZ[]Z H MeJiexclU~NihQsN H QR[]O [SX H MeJOtilde^eJnVYZbnhdQRK H [PhYWiexclQ H Mordmagrave^ Y0Q H MNPYycentEgraveJLJUOOslashKhJUBQR[]jYZfVmTKhZ[UPJU^X[Ph[PhZJmWYZbLNPfRJiexclQCZaringN[PJUYeH MeJUYZJ H JLhlZaringYMNUPJ H [ cent=Jaumlbn[]OYZQc^eJLhZJU^ QsO[Ph^eJLh H [regZ N`PJ H MeJTNPb H QUPJTbn[]O H []jhbn[]OUPJLhY[PJ H [WFNihd^YNZ QcOQZtimesjFZ [SX H MJTbnhQ H JLhQc[]OO^macr^ ^~THORNUgrave2FIgraveFEgrave2Iacute_IgraveFOacuteshyETHOgraveNtildeshyEumlEgraveOIgraveIcircdEumlETHOIcircnot [Ph H MJ JkWKEgraveJLhQZOslashJUO H YeQWNtildeJ H N`PJCntildea]jordmaacute ILK Kaf[]jgWMQsbMsup1[]QVUPJUYnntilde raquo aOgravejaacutefdOafWOgravej(NPO^8ordfaOgravejaacute ILK KafIcirch cent juWMQcbdMt[]QVUPJUY8 raquo aOgravejaacute ETHOafIcirch cent j^ JbdMe[[]YZJ bbaacute f s ^QMeJaringbn[]fR[PhtimesYKNPbnJ YJUfcJUb H JU^QcYaQPszlig l szligicirclaquojeltWMeJLhZJwaOtilde aacuteRPordmjhZJLKhZJUYJUO H Y H MeJfsjFZaringQcONPObnJNPO^waOtildeOgravecent5aacute l j$NPO^frac34aOtildeS aacuteOslashicircj$hZJLKhZJUYJUO HyH MeJ H WF[bdMehZ[]ZaringQcONPObnJUY^ not [Ph H MeJbn[]ZaringKj H N H QR[]OOslash[SX H MeJuUiNihQcNPObnJSei[]Ofm H MeJfcjZaringQcONPObnJQcY(jYJU^O^

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CB5Oaring[Phd^eJLh H [aeligYJ[]ZOslashJUO H NPO Me[]ZOslash[S[PJUOJL[]jY0hJ[]QR[]OOeOgraveWFJiexclY H Nih H WQ H M NPO QcOQ H QcNPf

bLjehlUPJ0QcOYZQs^eJ H MJ0hZJ[]QR[]Oauml[SXWQsO H JLhZJUY H ^MeJybLjhYUPJ0QcY H MJUOTYZjeKK=[]YZJU^ H [JkWKNPO^jO H Qcf(Q H hJUNPbMeJUY H MeJ centEgrave[]jO^NihlmOacute[SX H MeJabn[]ObnJLhdOeJU^ Me[]Zaring[S[PJUOeJL[]jYaringhJ[]QR[]OO^MJtimesbLjehlUPJtimes^e[BJUYUacuteOe[ H [P[cent=JmP[]O^ H MJUYJaeligcent=[]jO^NihQRJUYiexclYZQcObnJSe=[UPJLh H MeJLhZJSe H MeJbnhQ H JLhQR[]OOacuteQsObnhZJUNPYJUYtimescentEgraveJUbLNPjYJ H MeJU~NihdQcNPObnJOcircu centtimesOslash [Ph H MeJ bn[U~NihdQcNPObnJtZaringN H hQVk^eJ H JLhZaringQcONPO H ^eJ H atimesOslashjUcirccentOtildeQsObnhZJUNPYJS^MeJaringNPfV[P[PhQ H MZEcentNPYJU^[]O H MeJ bn[UiNihQcNPObnJZaringN H hQVkeumlQcYaumlK=JLhlX[PhlZaringJU^euml[]ONPOQZ N[PJ [SX H MeJUBQs^eJL[`YJBjeJUObnJrnN`WQVmP[]peumlQcO[Ph^JLh H [euml^eJ H JUb HaeligH MeJYKEgraveJUN`PJLhUTYXqNPbnJS^gtMJaumlJUP[]fcj H QR[]O[SX H MJIacutebLjehYUPJIacuteQcYu[]QVUPJUO QcO not QV[^ macr^gtMeJTbn[]O H []jehiexclJUP[]fUPJUYH [ONPfcfVmbn[]OUPJLhY[PJaelig[]O H MeJIacutecent=[]jO^NihQRJUY[SX H MJyXqNPbnJa not QV[^ macr^bj^OMeJyXiacuteNPbnJaeligQcYH MeJUONPbLbLjehdN H JUfVm YZJ[]ZOslashJUO H JU^^FMeJUacuteNSZOslashKfcQ H j^eJ[SX H MeJiexclUPJUfR[BbLQ H m QsYFNPfsY[laquo[]QVUPJUOQcO not QV[aqYj^ macr^ ^OecurrenJSe Xfrac34jNPO^WNtildeJUacutebLNPO [PcentYJLhYUPJ H MN HFH MeJ5XiacuteNPbnJUacutehZJ[]QR[]O QcYUPJLhYmWFJUfcf^eJUfsQZaringQ H JU^regXhZ[]Z H MJ[ H MJLhhZJ[]QR[]OY^MJ5UPJUfc[BbLQ H m[]QUPJUO QcO not QV[aqYj^ macr^ ^OecurrenJSe XQcObLfcj^eJUY H MeJNP^^Q H Qc[]ONPf H JLhlZaringYFbn[]ZaringQcOF[yXiacutehZ[]Z H MeJ5UiNihQcN H QR[]O [SX H MeJiexcl^eJUYbnhQRKeVH [PhY5WQ H Magrave`centj H ^e[BJUYOtildeOe[ H QcObLfcj^eJ H MeJaeligcentEgrave[]jO^NihlmVcentNPYZJU^ H JLhlZ WMQcbMeumlQcYUacuteNYYZaring[[ H MQsO[ H JLhlZ^KMeJtimesNSZOslashKfcQ H j^eJOtilde[SX H MeJyUPJUfc[BbLQ H maQcYiexclOe[PhlZaringNPfcQcurrenLJU^ centEgraveJ H WFJLJUOs NPO^ macrSmacre$YZjbdM H MN HTH MeJ OeJ[]N H QVUPJoU~NPfcjJUYIacuteNihZJ fR[WFJLh H MNPO f i`NPO^ H MeJKEgrave[]YZQ H QUPJ[]OJUYNihZJTMQ[]MeJLh H MNPOpoundf i^ J bLNPObn[]ZaringKNihZJ H MJ QcOQ H QsNPfUPJUfR[BbLQ H m[Pcent H NPQcOJU^jYZQcOF[ H MeJ bn[U~NihQsNPObnJZaringN H hdQk admacr s juWQ H M H MeJOtilde[]OeJOtilde[Pcent H NPQcOeJU^jYQcO[ H MeJordfUiNihQcNPObnJrega2Sj^KMeJordfXqNPbnJTQcYOe[ H WNtildeJUfsf9^eJ H JUb H JU^QcO H MeJUPJUfR[BbLQ H m[Pcent H NPQsOeJU^ajYQcO[ H MeJUiNihQcNPObnJa not Q[^ ^bjWMJLhZJUNPYIacuteQ H QcYIacutehZJUNPfcfmumlWNtildeJUfcfF^eJ H JUb H JU^QsO H MeJQcOQ H QcNPfUPJUfR[WbLQ H m7jYZQcOF[ H MeJbn[iVUiNihQcNPObnJpoundZ N H hQk a not QV[^ ^currencentj^_MeJ UPJUfR[WbLQ H m [Pcent H NPQcOeJU^ jYZQsO[ H MeJumlU~NihdQcNPObnJ^e[BJUYOe[ H NPfsfR[W NPOJltz bLQRJUO H YJ[]ZOslashJUO H N H QR[]O`[SX H MeJyXiacuteNPbnJauml[]O H MeJaumlbn[]O H hNihYm H [H MeJIacutebn[UiNihQcNPObnJlaquoZaringN H hQk^eJ H JLhZaringQcONPO H WMQsbM H N`PJUYUacuteNP^UiNPO H N[PJaelig[SX H MeJtimesbn[]fR[PhQcOFX[PhlZ N H QR[]OO^macr^ ^WVFEumlETH=gtNtildeFETH32EacuteltOacuterETHEacute`0Ntilde=KIgravek8ltIgraveFETHIgrave5=KETH32EacuteltOacute~2Oacute+(8ltIgraveEacute IcircIgrave5euml1IgraveFOacute=KIgraveIcircMJa^eJUYZbnhQcK H [PhYOslashcentNPYZJU^[]O H MJ`bn[UiNihQcNPObnJZaringN H hdQkNihJ`QZOslashK-fRJZOslashJUO H JU^ H [^eJ H JUb H MBjFZaringNPO XqNPbnJUYQcO UWQc^eJL[OacuteYJBjeJUObnJUY^MQsYaring^eJ H JUb H QR[]OegraveZaringNm cent=J`jYJU^Xiacute[PhtUWQc^eJL[ bn[B^QcO[ H [JUObn[W^eJYJUfcJUb H QVUPJUfVm H MeJOacuteMBjFZaringNPOegraveXqNPbnJS^ not [Ph`N []QVUPJUObn[]ZOslashKhZJUYZYZQR[]OOacutehN H QR[e H MeJoXiacuteNPbnJbLNPO7cent=J H hNPOYYZ Q HH JU^bWiexclQ H MN MQV[]MJLhThN H J H [H MeJ^eJ H hdQZOslashJUO H [SX H MeJcentNPbl`[Ph[]jO^O^uMQsY QsO H JLhZJUY H QcO[KhZ[PKEgraveJLh H m QcYUiNPfcjWVNicentfcJuX[PhUBQc^JL[Bbn[]OXiacuteJLhZJUObnJUYe]WMeJLhZJ H MeJ ZOslash[]Y H QZOslashKEgrave[Ph H NPO H NPO^regZOslash[]Y H U~NihdQcNicentfRJQcOFX[PhlZ N H QR[]OQcYfR[WbLN H JU^ []O H MJordfXiacuteNPbnJaq 5ZOslash[]Oe[]j`NPO^tUacutejMNSZaringJUfde sSsSs j^ J QcOQ H QcNPfcQVcurrenLJ H MJhdY H XiacutehNSZOslashJoWQ H M7N`bLQchbLfRJ QsOYZQc^eJ H MeJXqNPbnJ H [ H hNPbY`K^MJUOOeyacuteWFJsup1ZaringN`PJ H MeJNPb H QVUPJ7bn[]O H []jeheumlJUP[]fVUPJjYZQcOF[admacr s jeiexclWQ H MX8ordfaOgravejxaacuteILK KafUgravemiddot cent j^ltMeJregONPfybn[]O H []jehtimes[SX H MeJ bLjehZhJUO H QZaringN[PJ QcY H MeJUOOacutebdMe[]YJUO7NPYNPO QcOQ H QcNPfbLjhYUPJordfX[Ph H MJUacuteOJk H QZaringN[PJS^FMeJOtildeNPfV[P[PhQ H MFZMNPYcentEgraveJLJUOKEgraveJLhYXiacute[PhlZOslashJU^[]OYJUPJLhdNPf$YJjJUObnJUY^MeJaelighZJUYjf H Y5X[Ph H MJaeligYZJjeJUObnJpoundn5JLhQV`p NihJordm[]QVUPJUOQcOnot QV[^ethz^shyMeJaringKNihNSZaringJ H hZJ bMNPYaumlcentEgraveJLJUOYZJ HaumlH [sup1f s ^QMeJordmXqNPbnJ QcYordfWFJUfcfy^J H JUb H JU^NPO^ H hNPbY`PJU^times[]O H MJ|WMe[]fcJyYJjJUObnJS^MJyhZJUYZjf H YOX[Ph H MeJNtildeYZJjeJUObnJnN`WQVmP[]p

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ macrNihZJy[]QVUPJUO`QsO not QV[^ i^ JaeligbMe[B[]YJbaacute s ^ JtimesbLNPO`YJLJ H MN HH MeJXiacuteNPbnJaeligQcYuWFJUfcf^eJ H JUb H JU^aJUPJUOaQVX H MeJaumlbn[]fR[Phiexcl[SXMJLhYZMQRh H QsY(bLfR[]YJ H [ H MJgXiacuteNPbnJIacutebn[]fR[Ph^

YOEAEligMgtIltROgravesup3PshyAtildeT13MKI5O H MQcYKNiKEgraveJLheuWNtildeJKhZ[PKEgrave[]YJN OeJW 0jfRJLhQcNPOAumlZaringQsOQZaringQVcurrenUN H Qc[]OAumlZOslashJ H Me[W^ H [bn[]ZOslashK-j H J H MJUPJUfR[WbLQ H mpoundUPJUb H [Pharing[SXNPONPb H QVUPJ bn[]O H []jeh H MN H JUOYZjehZJUYtimesQ H WQcfcfJUP[]fVUPJ NPYordfXiacuteNPY H NPYOtildeKEgrave[]YZYZQRcentfcJ H [WNih^YIacuteNZaringQcOQCZIacutejFZ [SXN bnhQ H JLhQR[]OeumlQcObLfcj^QcOF[centEgrave[ H MUacutehZJ[]QR[]OeVcentNPYJU^TNPO^OtildecentEgrave[]jO^NihYmVcentNPYJU^ H JLhlZ Y^ q jehgNiKKhZ[]NPbMIacuteQcYcentNPYZJU^Otilde[]OYZMNiK=J[PK H QZaringQVcurrenUN H Qc[]OOslashKhQcObLQRKfRJUY$NPO^ QcYyKEgraveJLhYXiacute[PhlZOslashJU^ QcO H MehZJLJ5ZaringNPQcO Y H JLKYaringf^ltO H hZ[W^jb H QR[]O[SX$NOslash^mWONSZaringQcbLNPfYbMeJZOslashJIacuteQcO H MeJTbnhQ H JLhQR[]OOe ^vF[]ZOslashKj H N H Qc[]Oaelig[SX H MeJ_0jfRJLhdQcNPOaelig^eJLhQVUiN H QVUPJ[SX H MJbnhQ H JLhQR[]OOslashjYZQcO[OtildeYZMNiKEgraveJ

[PK H QZaringQVcurrenUN H Qc[]O H [[]fcYe^vF[]ZOslashKj H N H Qc[]Oa[SX H MeJtimesJUP[]fcj H Qc[]OaJBjN H QR[]O`[SX H MeJaeligNPb H QVUPJtimesbn[]O H []jehiexclXiacutehZ[]ZH MeJT^eJLhQU~N H QVUPJS^

iexcl Ntilde _ cent G NPfcfR[WY H [hJUNP^QcfVm H N`PJNtildeQcO H [NPbLbn[]jO H9H MeJybLNPYJ0[SXBhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H^eJUYbnhQRK H [PhY H MN H NihZJo[]fR[PcentNPfcfVmN HH NPbdMeJU^ H [ H MeJ JUP[]fVUWQcO[ hZJ[]QR[]OYtimesNPO^Y[H MN H UiNihYm^jehQsO[ H MJaumlKhZ[PKN[]N H Qc[]O [SX H MJaumlbLjehYUPJS^ JTYMe[W H MN HH MeJgUiNihQuVN H QR[]O [SX H MeJUYJ^JUYZbnhQRK H [PhdY QsO^jbnJUYNP^^Q H QR[]ONPf H JLhlZaringYQcO H MeJeumlJUP[]fcj H QR[]OJBjN H QR[]Oeuml[SX H MeJaringNPb H QVUPJ bn[]O H []jeh^MJUYJ H JLhlZaringYgZtimesjY H Oe[ H centEgraveJlaquoX[Phl[P[ HH JUOQcO[Ph^JLh H [ hZJUNPbMeumlN H hjeJZ QcOQZtimesjFZ[SX H MeJtimesbnhQ H JLhQc[]OaNPYUacuteQ H MNPYcentEgraveJLJUOKEgrave[]QcO H JU^[]j H QsOJkBKEgraveJLhQZaringJUO H NPfEgravehZJUYjf H Y^

Yfrac34XiacuteNiheumlNPYeumlMe[]ZOslash[S[PJUOeJL[]jYeumlbn[]fR[PheumlhZJ[]Qc[]OY`YZJ[]ZOslashJUO H N H Qc[]OQsY`bn[]ObnJLhdOeJU^OeWFJKhZ[PKEgrave[]YJ H MeJ`bn[U~NihQsNPObnJfrac34ZaringN H hdQk^eJ H JLhlZaringQcONPO H NPY N^eJUYbnhQRK H [Ph^MQcYY H N H QsY H QcbLNPfhZJ[]QR[]OeV4^eJLKEgraveJUO^eJUO H ^JUYZbnhQRK H [PharingNiKK=JUNihdY H [centEgraveJN UPJLhlm7hJUfRJU~NPO HH [B[]fampNPO^eumlY[ Q H MNPYUacutecent=JLJUOeumlYZjbLbnJUYZYXqjfcfVm NiKKfsQRJU^ H [XqNPbnJaring^eJ H JUb H QR[]OQcOfrac34UWQc^eJL[YJBjeJUObnJUY^

iquest acuteraquoacuteLacuteIltR]acuteAtildeagraveIgravefrac14dEcircsup1Atilde5AringiquestLmiddotNtildeIumliquestUumlgIumlUTHORNampAtildeEacutecedilAtilde5AringAcircnAtilde|iquestaacuteIacuteIumlIZEgravefrac14Zcedilfrac12frac14dAringiEcirc]iquestfrac14draquoiEcirc[NtildeIumlagraveAringEacutePAtildecedilwAacute4] uacute_^J^J^ iquest)` igraveraquoLCcedilfrac14cedil4Ecircfrac14draquo~Ecirc(Auml|AringAacuteCcedilfrac14Zcedil4Ecirc

Agrave5AringcedilAcircnAtilde$AtildeAcircnAuml|frac12AringAacutesup1AumldraquoTAringAEligwsup1raquo~ordm(frac12Atilde5AcircnAtilde5frac12AEligwAtildeAacuteampIgrave(Atilde AacuteIcirc~AumlUEcircSaIumligraveraquo13] x4~rv p4PldrRtcoPl|Egraveod5v pv i4vodaumlx4shyl not vsectpqo v tu not Iumlcb$Auml|EacutePAtilde|iquestednfrac14Oumlifrac14draquoIuml

agraveIgrave(Aumldraquo~Auml|Aringiquest~igrave4IumlPfrac14raquoiEcircfWIumliTHORNampAringIcircifrac14Igrave(Atilde5frac12G] divideugrave|ugrave|ugrave iquest` igraveAacuteAtildecedil4frac14ZAacutesup1Acirc|AtildeNtildeEacute~frac14dAgrave4UgraveUCcedilEgravefrac14cedil4EcircUacuteAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoUacuteOgraveregAumldcedilIcirc~sup1Atildecedil4frac14cedilAgrave4Icirc~sup1currenEumlAgravefrac14dfrac12=CcedilEgravefrac14AcircnAtilde5frac12AtildeAacutesup1Igravefrac14ordm|AtildeAgrave5AumlUEcircsup1raquo~ordmIaIumlaeligigraveiacuteraquoS] x4rv p ildrRtcodil|ampod5v pv P4vOtildeodOslashx4shy(l not vFsectpqo v tu not Iumlg frac14raquo~Agrave5AumldAring~AcircnAtildecediliquestehEgravefrac14raquoifrac14|Ecircfrac14Iuml

agraveAringEacutePAtildecedilwAacuteiquest[NtildeIumlWfrac14raquoiEcircifWIuml13b$Aumldcedilraquo~OumlcedilAuml|EacuteAEligqAacute4] divideugrave|ugraveuacute iquestkj ldrregv shy(ldrRtcl|ipwonm5v shyNtildetuOslashtushyl not vampipwo4v tu not sect9ldp4rRtcl|Egravedt lv pv ~rRtRl|9vDm~lrRtcod~ldiTrreg~vUacutel| Uiexcloqnldp4tcldrRtRod~ iquestpoAumlIuml uacute_qEr IumlOslashagrave9Ouml~Oumlfrac12sup1AtildeEcircaacuteUacutefrac14AacuteIcirc~AtildeIgravefrac14Aacutesup1Agravefrac14dfrac12BatildeAgravesup1Atilderaquo~Agrave5Atilde5AElig5iquestPatildeOumlcedilsup1raquoordm|Atildecedil g Atildecedilfrac12frac14dordmIumlhEgravefrac14dAEligwAtilde5frac12frac12Atilde5AElig5iquest g Iumliquest~szlig0Iumleb$sup1Igrave(Igrave(Atilde5frac12Riquestifrac14raquoiEcirc[NtildeIumlatildefrac14dOumlsup1cedilAumlI] uacute_^J^Er iquest`s[Atilde5AumlUEcircAtilde5AEligwsup1AgraveFfrac14dAgraveAacutesup1AcircnAtildeyAgrave5AumldraquoUAacuteAumldAringcedilAElig_aIuml x4~rv p4PldrRtcodPldpoundUodUp4Pl|WoqodshyiUrv paumlumltutcodutet13v uacute+w iquestex uacuteyIrz^ Iuml

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CBh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34LiquestBagraveyIumlWfrac14raquoiEcircidIumlBTHORNampAringraquo~Agravefrac14raquo13] uacute4^z^J^ iquest`[ampfrac14Igrave(AtildeEumlcAacuteIcirc~Atilde5AumlcedilAtildeAacutesup1Agrave(sup1raquoUAacuteAtildeordmdcedil4frac14Aacutesup1AumldraquoaeligOgraveuAumldcedil0sup1Igravefrac14dordmdAtildeAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIuml xQ|||~pwl~ lnrRtcodNtildeodiexclsect9lrRrv p auml9Pl| ~tuyldi j l|4Utu]vx4~rvreg t not v P4v Iumlh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34Liquestgagrave0IumliquestIumlgatildeUAacute4frac14dsup1Eacuteiquest9frac14draquoiEcircdIuml9THORNampAringraquo~Agravefrac14raquo13] uacute_^J^ xiquest` THORNampAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeIacuteEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34iraquo~Ecircsup1raquo~ordmsup1raquoIgrave(AtildeEcircsup1Agravefrac14frac12iexclsup1Igravefrac14ordm|Atilde5AEligaringEacuteLfrac34Oacutesup1raquoLAacuteAtilde5ordmcedil4frac14Aacutesup1raquo~ordm ordmdcedil4frac14|Ecircsup1Atilde5raquoLAacute frac14raquoiEcirccedilAtilde5ordm|sup1Auml|raquo sup1raquoOgraveuAumldcedilIgravefrac14ZAacutesup1Auml|raquo13aIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu notI iquesteE ^4y rdugrave Iumlh=Icircifrac14raquoiquestBETHIumlWfrac14raquoiEcircIuml g Atilde5AEligwAtildeJ] dividedugravedugraveuacute iquest` agraveAgraveAacutesup1AcircnAtildeFAgrave5Auml|raquoLAacuteAuml|AringcedilAElig$Ccedilgsup1AacuteIcircAuml|AringAacuteNtildeAtilde5Ecircordm|AtildeAElig_aIuml xQ||k|~pwld lnrRtcododUacutex4shy(l not v9sectpqo4v 4tu notuU v divideJw iquest divide xJx ydividezrJr Iumlh=Icirc~Atilde5AEligwraquo~frac14dAring~EcirciquesthIumliquestfWIuml=szligAtildeOgraveYacutecedilIAtilde5ordm|sup1Atildecediliquestfrac14draquoiEcirc g Iuml5Z=AumldAring~frac12AtildeAacute4] uacute_^J^z^ iquest`currenatildeUAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12cedilAtilde5ordmdsup1AumldraquoAEligwraquoifrac14dUgrave|AtildeEumlsEacuteifrac14dAEligwAtilde5EcircAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquofrac14|Ecircfrac14dOumlAacuteAtilde5EcircFAacuteAumlyEcircsup1s]AtildecedilAtilde5raquoLAacute-Ouml~IcircLfrac34AEligwsup1Agrave5frac14dfrac12~raquoAuml|sup1AEligwAtilde9Igrave(AumlUEcircAtilde5frac12AElig_aIuml xQ||k|~pqld~ lnrRtco~$osect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4vt iquest uacute|uacute_q y~uacute|uacute xIumlh=Auml|IcircAtilde5raquoiquestIuml] uacute4^z^uacute iquest`currenmiddotraquofrac14dAgrave Aacutesup1Acirc|Atilde Agrave5AumldraquoLAacuteAuml|AringcedilIacuteIgrave(AumlUEcircAtildefrac12AEligtimesfrac14draquo~EcirceumlEacuteifrac14dfrac12frac12AumlLAuml|raquoAElig_aIuml odshyiUrv pumltutcod pwl Utc0ldix4shyl not vsectEgravepwo4v tu not x4shyl not vOtildePnv p rsldidtu not) iquest divideUuacuteduacuteydivideLuacute UIumlh=Auml|IcircAtilde5raquoiquestSIumliquestUumlIuml13ZEgravefrac14cedil4Ecircsup1raquo~AtildeAacuteiquestfrac14raquoiEcircoNtildeIumlagrave9frac34Lfrac14dAgrave4Icirc~AtildeJ] uacute_^J^z iquest`atildeUAringcedilwOgraveufrac14dAgrave5Atilde0cedilAtilde5Agrave5Auml|raquoAEligqAacutewcedilAring~AgraveAacutesup1AumldraquotimesAring~AEligwsup1raquoordmfrac14AgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilaumlIgrave(AumlUEcircAtilde5frac12AElig_aIuml igraveiacuteraquoS] Lsect=xQ|od5v pv P4v od vwodshy(v rRp tc j v rregodtimestuodshyiUrv pumltutco Iuml~atildefrac14raquoUacuteTHORNampsup1Atilde5ordm|AumliquesthEgraveagraveyIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquestEgraveUumlIuml] dividedugrave|ugravedugrave iquest`currenatildeAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquo Ouml~frac14cedilAgrave5Auml|raquoLAacuteAuml|AringcedilAEligUacutefrac14AgraveAacutesup1currenOgraveuAEligUacuteAtilde5raquosup1Igravefrac14dordmdAtildecedilsup1AtildeIacuteIgraveAtilde5Ecircsup1Agravefrac14dfrac12AtildeIacuteEcircfrac34UEumlraquoifrac14dIgrave(sup1ecircLAring~Atilde]ampfrac14Ouml~Ouml~frac12sup1Agravefrac14ZAacutesup1AumldraquoAtilde5raquoeumlAgravefrac14Zcedil4Ecircsup1Auml|frac12Auml|ordmdsup1Atilde raquoUAring~Agravefrac12Atilde5frac14dsup1currencedilAtildeJaIumlfIcircIuml THORNFIumlAacuteIcirc~Atilde5AEligwsup1AElig5iquestraquo~sup1AcircnAtildecedilAEligwsup1currenAacutefrac34`AumlOgraveosup1Agrave5AtildeEumliacuteatildeAumldOuml~Icircsup1Yacutefrac14NtildeagraveraquoLAacutesup1OumlPAuml|frac12sup1AElig5iquestPeacutecedil4frac14raquo~Agrave5AtildedIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquest|UumlIumliquestUaacuteIacuteIumlEZEgravefrac14cedilfrac12frac14dAring~Ecirciquest[NtildeIumlLagraveAringEacutePAtildecedilwAacuteiquest|frac14draquoiEcirc dIumlnTHORN$frac14ZcedilAgrave5Auml|AringcedilwAacute4] divideugrave|ugraveUuacute iqueste`currenatildeOuml~frac14dAgrave5AtildeEgraveAacutesup1Igrave(AtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14EumlAacutesup1AumldraquoUacuteAring~AEligwsup1raquoordmfrac12Atilde5AcircnAtilde5frac12AEligwAtildeAacutefrac14dAgraveAacutesup1AcircnAtilde$AgraveAuml|raquoLAacuteAuml|AringcedilAEligfrac14Ouml~Ouml~frac12sup1AtildeEcirciexclAacuteAumlFIgraveNtildefrac34LAumlLAgravefrac14Zcedil4Ecircsup1frac14dfrac12ordmnfrac14ZAacuteAtildeEcircOtildeatildeIf-UumlkhEgraveETHaIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu not t v rJw iquest)x qJ+y xJ ^ Iuml

THORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquest13iexclNtildeIumlfrac14draquo~EcircdIumlWaacuteAuml|raquoLAacute4frac14ordm|raquoifrac14ZAacute4] divideugrave|ugraveUuacute iquest` ETHBAumldOumlPAuml|frac12Auml|ordmfrac34Oslashfrac14raquoiEcircIacuteAEligwIcirc~frac14dOumlPAtildeAgraveAuml|raquo~AEligqAacutewcedil4frac14sup1raquoUAacuteAEligyAumldraquotimesOumlifrac14Zcedil4frac14EumlIgrave(AtildeAacutewcedilsup1AgraveOslashfrac14dAgraveAacutesup1AcircnAtildearingAgrave5AumldraquoLAacuteAuml|AringcedilAElig_aIuml odshy~rv pumltutcodldP x4shy(l not vPLv p4rsldPtu notcent) v divideJw iquestuacute_qnugrave4yiuacute4rUuacute Iuml[Auml|Igrave(Atilde5AElig5iquestpounddIumlfrac14draquo~EcircaringmiddotNtildeIumleacuteifrac14Aring~ordm|Atilde cedil4frac14dAElig_] divideugrave|ugrave|ugrave iquestcurren` szlig9Atilde5Agrave5Aumldraquo~Agrave5sup1frac12sup1raquo~ordmIacuteEcircsup1AEligqAacute4frac14draquoAgrave5AtildeOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligfrac14draquo~Ecircaeligfrac12Atilde5AcircnAtilde5frac12EgraveAEligwAtilde AacuteAElig_aIumlpoundUodUp il|WoqUacuteumltul|-odshyNtildeshyFU~tR4lrRtcodTldix4shyl not vampgvipv v rsldrRtcod ) iquest dividedugravez^+ydivideddividez Iuml[cedil4frac145frac34LiquestszligyIumliquestdIumlyen-Auml|Aringraquo~ordmiquestampfrac14raquoiEcircagrave0Iumlampagravesup1currenfrac34LAtildecedil4] dividedugravedugraveuacute iquest `aacutesup1raquosup1IgraveNtildeAring~Igrave Ecircsup1AEligwAgrave cedilsup1Igrave(sup1raquo~frac14Aacutesup1Auml|raquosup1raquoOgraveregAumldcedilIgravefrac14Aacutesup1AumldraquoAgrave5frac12Aring~AEligqAacuteAtildecedilsup1raquo~ordmI]Igrave(AumlUEcircAtilde5frac12sup1raquo~ordmTfrac14raquoiEcircOslashecircLAringifrac14raquoUAacutesup1Ocircfrac14ZAacutesup1Auml|raquoOslashCcedilgsup1currenAacuteIcirc ordm|frac14dAringAEligwAEligIgrave(sup1currenicircAacuteAringcedilAtilde5AElig_aIumlTigraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquest=atildePIumliquest=aacuteIacuteIumlkZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestEgravefrac14raquoiEcirc[NtildeIuml=agrave9Aring~EacutePAtildecedilwAacute4] dividedugrave|ugraveUuacute frac14Uiquest` agrave EumliacuteatildeUAacuteAtilde5Ouml frac14dfrac12ordm|Aumlcedilsup1currenAacuteIcirc~IgraveAring~AEligwsup1raquoordmcedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtilde=Agrave5Auml|raquoLAacuteAuml|AringcedilAEligeOgraveuAumldcedilAcircUsup1EcircAtilde5AumlAuml|EacuteUbrvbarqAtilde5Agrave AacuteAElig=EcircAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoSaIuml~igraveraquo13]psect xw j x4 sect odpDumlqo odUacutex4shy(l not v9Pl| ~tu5op j rRtushyvwdtclNtildex4rv pwlnrRtKndvy]v pntc4v IumliETHWfrac14dIgrave(OumlPAtilde cedilAtilde|iquestieacuteWsup1raquofrac12Yacutefrac14raquoiEcirc]Iumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquestUatilde]IumliquestUaacuteIacuteIumlUZ=frac14cedilfrac12frac14dAring~EcirciquestUfrac14raquoiEcirccopy[NtildeIumlUagrave9Aring~EacutePAtildecedilwAacute4] dividedugravedugraveuacute EacuteiquestA` szlig9Atilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14AgraveAacutesup1AcircnAtildegAgrave5Auml|raquoLAacuteAumldAringcedilAEligOgraveuAumldcedilAcircUsup1YacuteEcircAtilde5AumlaringAuml|EacuteUbrvbarqAtilde5Agrave AacuteOtildeAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo Ccedilgsup1currenAacuteIcircaAgrave5frac14dIgrave(Atildecedil4frac14OslashAgrave5AumldIgrave(OumlPAtilde5raquo~AEligfrac14ZAacutesup1Aumldraquo13aIumligraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquesteatilde]IumliquestWaacuteIacuteIumlZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestefrac14draquo~Ecirc[NtildeIumlBagraveAring~EacutePAtilde cedilwAacute4] divideugrave|ugraveuacute Agrave|iquestk` g sup1EcircAtilde5AumlUacuteAuml|EacuteUbrvbarqAtildeAgraveAacuteFAEligwAtildeordm|Igrave(Atilde5raquoLAacute4frac14Aacutesup1AumldraquoAring~AEligwsup1raquo~ordmIacuteAtilde5Aring~frac12Atildecedilsup1frac14draquo cedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAElig_aIuml igraveiacuteraquoS] x4rv p ildrRtcodil|yodv pwv P4vIacuteoodshyiUrv paumlumltutcod Iuml g frac14draquoAgrave5Auml|AringAcircnAtildecediliquestehEgravefrac14draquo~frac14|Ecirc~frac14UIumlbyfrac14dAEligwAElig5iquesteaacuteIacuteIumliquestWagrave0Iuml Ucirc sup1currenAacuteUgravesup1raquoiquestWfrac14raquoiEcirctimesTHORNFIumlWETHBAtildecedilOcirc5AumldOumlPAuml|Aringfrac12AumldAElig_] uacute4^ JUiquestk`currenatilderaquoifrac14UgravenAtilde5AElig_]WagraveAgraveAacutesup1AcircnAtilde(Agrave5AumldraquoLAacuteAuml|Aringcedil0Igrave(AumlUEcircAtilde5frac12AElig_aIumlx4~rv p4PldrRtcoPl|WpoundUop4PldWoqodshyiUrv pTumltutcod iquest ndivideUuacuteyUzndivide Iuml

aacuteUacutefrac14dfrac12frac12frac14|Ecircsup1ciquest~szlig0IumliquestedIuml]atildeUAtildeAacuteIcirc~sup1frac14raquoiquest~frac14draquoiEcircZIuml g Atilde5IgraveNtildeAringcedilsup1G] uacute4^z^ UiquestS`atildeUIcircifrac14OumlPAtilde$Igrave(AumlUEcircAtilde5frac12sup1raquo~ordm0Ccedilgsup1AacuteIcirciexclOgraveregcedilAuml|raquoLAacuteOumlcedilAumldOumlifrac14dordm|frac14EumlAacutesup1Aumldraquo13]nfrac14ampfrac12AtildeAcircnAtilde5frac12AEligwAtildeAacuteEgravefrac14Ouml~OumlcedilAumlnfrac14dAgrave4Icirc13aIuml xQ|||~pwld lnrRtcodampodsectgldrRrv p 9Pl| ~tu9ldP j ln4Utreg]vx4~rvu t not v i4v Iordf iquest uacute z yiuacute+r UIuml

aacuteUacutefrac14draquoAEligwAuml|Aringcedilsup1Riquestagrave0Iumlfrac14draquo~EcircdIumlb$Auml|raquocedil4frac14|EcircS] uacute_^J^J^ iquestlaquo`currenaacuteAumldAacutesup1AumldraquoAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo`Ccedilgsup1currenAacuteIcirceumlfrac12Atilde5AcircnAtildefrac120AEligwAtilde AacuteAElig_aIuml igraveraquo13]x4~rv p4PldrRtcoPl|=ov pwv P4vNtildeodUacutex4shyl not vsectEgravepwo4v tu not Iumlcb$AumldEacutePAtilde|iquestednfrac14dOuml~frac14draquoIuml

aacuteAuml|raquoLAacute4frac14dordmdraquoifrac14ZAacuteiquestdIumliquestziexcl0IumlTHORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquestdfrac14draquo~EcircoNtildeIumlZagravegfrac34Ufrac14dAgrave4Icirc~AtildeJ] dividedugrave|ugraveUuacute iquest` agraveOslashcedilAtildeAcircsup1AtildeCcedilaeligAumldOgravePEcircAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeAEligwAringcedilwOgraveufrac14dAgrave5AtildeAElig_]AacuteAuml|OumlPAuml|frac12Aumldordmdfrac34Liquestgordm|AtildeAuml|Igrave(AtildeAacutewcedilwfrac34frac14draquoiEcirc EcircAtildeOgraveuAumlcedilIgravefrac14Aacutesup1Auml|raquoSaIuml x4shyl not vtimesldiOacuteumltutcododshy~rRtreg not0Inot v uacute_qw iquestuacuteugravendivide+y~uacuteugravezq|ugrave Iuml

aacuteAring~IgraveOgraveregAumldcedil4Ecirciquest=THORNFIumlgfrac14raquoiEcircdIumlatildeIcirc~frac14dIcircS] uacute4^ ^ iquest`currenmiddotOumlAacutesup1Igravefrac14frac12$frac14dOumlOumlcedilAumlicircsup1Igravefrac14Aacutesup1Auml|raquoAEligEacuteLfrac34Oumlsup1AtildeAgrave5AtildeCcedilgsup1AEligwAtildetimesAEligwIgrave(AumlLAumlAacuteIcircOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligFfrac14raquoiEcircOslashfrac14dAEligwAEligwAumlLAgravesup1Yacutefrac14ZAacuteAtildeEcircaringAcirc|frac14Zcedilsup1Yacutefrac14ZAacutesup1Auml|raquoifrac14frac12EgraveOumlcedilAumldEacute~frac12Atilde5Igrave(AElig_aIuml odshyNtildeshyFU~tR4lrRtcod~oaeligsectEgraveUpvUacuteldiEgraveni tsvw j ldrreg~v shy(lrRtccurrenshyt iquest rzr4y xJ q Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfa

yenKbrvbarsect =4 acirc $ zmiddotAEligwIcirc~AtildecediliquestdatildePIumlfrac14draquo~EcircdIumlnatildeAtilde AacuteIcirc~sup1frac14draquoS] uacute4^ ziquest` eacutecedilAuml|raquoLAacuteAEligeOumlcedilAumldOumlifrac14ordmnfrac14Aacutesup1raquoordmCcedilgsup1currenAacuteIcircFAgrave5AringcedilAcirc|frac14ZAacuteAringcedilAtildeEumlEcircAtilde5OumlPAtilde5raquoiEcircAtilde5raquoLAacuteBAEligwOumlPAtildeAtildeEcircS]

agravefrac12ordm|Aumlcedilsup1AacuteIcircIgrave(AEligEacute~frac14dAEligwAtildeEcircaumlAuml|raquoiexclampfrac14Igrave(sup1frac12AacuteAumldraquoEumldnfrac14Agrave5Auml|Eacutesup1eacute~AumldcedilIgraveNtildeAring~frac12frac14Aacutesup1Auml|raquoSaIuml poundUodUp4Pl|oqiexcloshyiUrsldrRtcoPl|sect=U~tc ordfenot iquest uacutedivide4yEqE^ Iumlfefrac14cedil4frac14ordm|sup1Auml|AElig5iquestoNtildeIumlfrac14draquo~EcircIacuteszligyIuml]THORNampAtildecedilsup1Agrave4Icirc~AtildeJ] uacute4^z^J^ iquest`s[Atilde5AumlUEcircAtildeAEligwsup1Agravefrac14AgraveAacutesup1AcircnAtildeFcedilAtilde5ordmdsup1Auml|raquo~AElig$OgraveregAumldcedil0Igrave(AumldAacutesup1Auml|raquoTAtilde5AEligqAacutesup1Igravefrac14Aacutesup1Aumldraquofrac14draquoiEcircAacutewcedil4frac14dAgrave4UgraveUsup1raquoordmAaIumligraveiacuteraquoS] x4rv p ildrRtcodil|-ov pwv P4vFodOslashodshyiUrv paumlumltutco Iumleh=AumldcedilwOgraveregAringgt[cedilAtilde5Atilde5Agrave5Atilde|Iumlfefrac14AacuteAtilde5Aringicirc]iquestatilde]Iuml] dividedugravedugrave|ugrave iquestpound`currenatildeOuml~frac14Aacutesup1frac14dfrac12AEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoTAumldOgrave=Agrave5Auml|frac12Aumlcedilysup1Igravefrac14ordm|Atilde5AEligampfrac14dAgrave5Agrave5Aumlcedil4Ecircsup1raquo~ordmAacuteAumlUacuteaacuteTHORNaringOgraveregAumldcedilIgravefrac14dfrac12currenEumlsup1AEligwIgraveaIumlyigraveraquo13] x4~rv p4PlrRtcodPld=od5v pv i vodododpFtu pwl4UtcldPx4shyl not vysectpqo v tu not Iumlatildefrac14dsup1raquoLAacute UumleAacutesup1Atilderaquo~raquo~Atildediquestieacutecedil4frac14raquo~Agrave5AtildedIumlfcedilAtildeAgrave5sup1Auml|AEligwAumliquesteacute=IumlEgravefrac14raquoiEcirc aacuteIacuteIumlcurrenZEgravefrac14cedilfrac12frac14dAring~EcircS] dividedugrave|ugraveUuacute iquest` Z-EumliacuteatildeUOuml~frac12sup1raquo~Atildeaumlfrac14dAgrave Aacutesup1Acirc|AtildeOtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAEligOgraveregAumldcedilOgraveRfrac14AEligqAacuteAcircUsup1EcircAtilde5AumltimesAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIumlOacuteigraveraquo13] x4rv p ildrRtcodil|od5v pv P4vaeligod x4shy(l not vUacutesectpqo4v 4tu not IumlETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1Riquest[cedilAtilde5Atilde5Agrave5Atilde|Iuml

szligAumldraquoOgraveufrac14cedil4EcirciquestszligyIuml] uacute_^J^q iquest` szlig9Atilde5ordmdsup1AumldraquoEumlsEacuteifrac14AEligwAtildeEcircFAEligqAacutewcedil4frac14ZAacuteAtilde5ordm|sup1Atilde5AEligeOgraveuAumlcedil-frac14dAgraveAacutesup1AcircnAtildeEgraveAgraveAuml|raquoLAacuteAuml|AringcedilIgrave(AumlUEcircAtilde5frac12AElig_aIuml x4~rv p4PldrRtcoPl|poundUodUp il|WoqodshyiUrv paumlumltutco I v dividezw iquest divideddividez^+yUdivide uacute Iuml

atildefrac14Igrave(AEligwAuml|raquoiquestzhIumliquestzIumlzZ=frac12frac14raquo~AgraveEumleacuteAtildecedil4frac14AringiEcirciquestJ[NtildeIumldagraveAringEacutePAtildecedilwAacuteiquestfrac14draquo~Ecirc dIumlJregPAtildecedilAring~Eacutesup1frac14I] dividedugravedugrave|ugrave iquest` agrave frac12Atilde5Acirc|Atilde5frac12UAEligwAtildeAacuteIgrave(AumlUEcircAtilde5frac12nOgraveregAumldcedilsup1Igravefrac14ordm|AtildeAgrave5frac12frac14dAEligwAEligwsup1siAgravefrac14ZAacutesup1Auml|raquo13aIuml x4~rv p4PlrRtcodPldpoundUodUp4Pl|BoqNtildeodshyiUrv pOtildeumltreg4tRod shy v Ew iquest uacute r4y~uacute4^Er Iuml

atildefrac14raquo~ordmdCcedilgsup1raquoAtilde|iquest9atilde]IumlEgravefrac14draquo~Ecircszlig0IumlampiexclAumldcedilraquoAtilde v Atilde5EcircAElig5Iuml w ] uacute_^J^ Uiquest ~vIacuteo|odUpaumltushyl not vipqo4v 4tu not ldP|m4oo4uml Iumlh=Icircifrac14dOumlIgravefrac14draquodegmacriexclampfrac14dfrac12frac12RIumlatildeAtildeAacuteIcircsup1frac14draquoiquestdIumlplusmn] uacute4^z^|ugrave iquestU` oAringIgrave(Atildecedilsup1Agravefrac14dfrac12Ufrac14frac12ordm|Aumldcedilsup1currenAacuteIcircIgrave(AEligWOgraveuAumldcedilOumlcedilAuml|Oumlifrac14ordmnfrac14ZAacutesup1raquoordmsup1raquoLAacuteAtildecedilwOgraveRfrac14Agrave5Atilde5AElig_]Jiexclampfrac14dIgrave(sup1frac12currenAacuteAuml|raquoEumldnfrac14dAgrave5AumldEacute~sup1

AtildeecircLAringifrac14Aacutesup1Aumldraquo~AElig-frac14draquoiEcircAgraveAuml|raquo~AEligwAtilde cedilAcirc|frac14ZAacutesup1Aumldraquo(frac12frac14CcedilgAElig_aIuml poundUodUp4Pl|]oqEgraveyen$t lv pv rRtcl| voshyv rRp~ iquest uacute4Uuacutey~uacute x uacute IumlatildeAtildeAacuteIcircsup1frac14draquoiquestAdIuml] uacute4^J^ xiquest kWvndvB]v r j v rregod IumlcurrenhEgravefrac14dIgraveNtildeEacutecedilsup1EcircordmdAtilderaquosup1AcircPIumlAfecedilAtilde5AEligwAElig5Iumlatildesup1Ecirc~Ecircsup1ecircUsup1Riquest4bIumliquest_yenNtildeIumlBfrac14Aring~Ocirc5sup1Gsup2AtildecedilAtilde|iquestagraveyIumlETHWfrac14draquoraquo~Atilde5raquoUEacute~frac14dAring~IgraveUacuteiquest5frac14draquo~EcircNtildeatildePIumlregPAring~Agrave4UgravenAtildecedil4] uacute_^J^ xUiquestE`currenagravegcedilAtildefrac149frac14draquoiEcirc$frac12Atilde5raquoordmdAacuteIcircyIgrave(sup1raquoEuml

sup1Igrave(sup1Ocirc5sup1raquoordm sup3iAumlCcedilgAEliggOgraveuAumldcedilAEligwIcircifrac14OumlPAtildeyAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo13aIuml xQ|||~pwl~ lnrRtcodoOtildex4shyl not vsectEgravepwo4v tu notordf v Ew iquest qEz+yqzqE Iumlyen=AtildeOcirc5Ocirc5sup1RiquestagraveyIumliquest5agrave0Iuml5ETHEgraveAEligfrac14dsup1Riquestfrac14draquo~Ecirc$agrave0Iuml Ucirc sup1frac12frac12AEligwUgraveLfrac34] uacute4^z^J^ iquestJ` agraveaeligAEligqAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12Ufrac14dOumlOumlcedilAumlnfrac14Agrave IcircampAacuteAumlgAEligwraquo~frac14dUgravenAtilde5AElig]OgraveuAumlcedilWEacutesup1Igrave(AumlUEcircfrac14dfrac12frac14draquoiEcircAacutewcedilsup1Igrave(AumlUEcirc~frac14frac12isup1Igravefrac14dordmdAtildecedilwfrac34aIumligraveraquo13] x4rv p ildrRtcodil|eodv pwv P4vyodx4shyl not vgsectpqo v tu not IumlAb$AumldEacutePAtildednfrac14dOuml~frac14draquoIumlreg]IcircUAringiquest]atilde]Iumlfrac14raquoiEcircaumlagrave0Iumleyen=Aringsup1frac12frac12AtildeJ] uacute_^J^ xUiquestpound` szlig9Atilde5ordmdsup1AumldraquotimesAgrave5AumldIgrave(OumlPAtildeAacutesup1currenAacutesup1Auml|raquo13]iAring~raquo~sup1currenOgraveYacutefrac34sup1raquoordmiexclAEligwraquo~frac14dUgravenAtilde5AElig5iquestPcedilAtildeordm|sup1Auml|raquoTordmdcedilAumlCcedilgsup1raquo~ordmiquestfrac14draquoiEcircZEgravefrac145frac34LAtilde5AEligacute|aacuteTHORNOgraveregAumldcedilIgraveFAring~frac12currenAacutesup1Eacuteifrac14raquoiEcirc sup1Igravefrac14ordm|AtildeTAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo13aIuml xQ|||micro~pwld lnrRtcodtimesosect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4v Icent iquesteJ q+yU^dugrave|ugrave Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfo

i $amp)(+-)013021+345627893lt=gt9A6CBfrac12OcircacuteIshyNT

frac12OcircacuteIltNTpara frac12frac34EMeJaumlQcYZYZjJUacuteQsY H [ ^QEgraveJLhZJUO H QcN H J H MeJordfXiacute[]fcfR[WQcO[Oslash^e[]ZaringNPQsOXiacutejOb H QR[]ONPfdaringocirc|adOuml times jOcircaacute uuml times a2atildeltszligaumlgtszliglOuml times j atilde auml

G QsObnJ H MJeumlYZJ H [SXIacuteNPfcfUacute^e[]ZaringNPQsOYMNPY Oe[ H N Y H hjb H jhZJ`[SXUPJUb H [PhQcNPfOtildeYZKNPbnJSefRJ H jYZ N`PJ H MeJeumlhZJ[]QR[]OYJUP[]fVUPJ H MehZ[]j[]M NrXqNSZaringQcfVm [SX H hNPOYYX[PhlZ N H QR[]OYa(|aagraveszlig jj emiddot iacuteaumlYlZOslash[[ H MaNPO^ centQ ~JUb H QVUPJS^ not [PhNOslashKEgrave[]QcO H $ aacute atildeshyszligaumlN eFWFJTOe[ H JSaring$ aagravej|aacutemiddot|aagraveszlig $ j WiexclQ H M |a s szlig $ jaacute $OumlcopytimesaagravejOcircaacutemiddot|aagraveszliglOumlutimesdj WiexclQ H M |a s szliglOumlcopytimesAjOcircaacuteAumlOumlutimes9J H jY H MeJUO^JOeJ H MeJordfUPJUfR[WbLQ H moUPJUb H [PhdY JUfs^kfrac12 YZjbM H MN H aringfrac12sup1aagraveszlig $ aagravejj|aacute aelig |aelig agrave aagraveszlig $ j YlaquoXiacuteNiharingNPY H MeJ bn[]ZOslashKj H N H QR[]O[SX H MeJ ^eJLhQU~N H QVUPJ QcYOslashbn[]ObnJLhOeJU^OeWFJNihZJQcOWVH JLhZJUY H JU^ QcO YYZaringNPfcfOtilde^JX[PhlZ N H QR[]OY^ J H MBjYJkWKNPO^ H MeJ H hNPOYX[PhZaringN H QR[]ONPbLbn[Ph^QcO[ H [hdY H [Ph^eJLh NmWfR[PhyacuteXiacute[PhlZtimesjfcNaring|aagraveszlig $ jpoundaacuteAElig|a s szlig $ j agrave aelig |aelig agrave a s szlig $ jaacute $ ragrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacute frac14 frac14 a s szlig $ j^ J H MeJUOQcO H hZ[W^jbnJ H MehZJLJgZ NPQcO^eJOQ H QR[]OYaringf^QMeJg0jfRJLhQcNPO^eJLhQU~N H QVUPJOtilde[SXocirc|adOuml times jordfaqQcO H MeJIacute^QRhZJUb H QR[]O[SXcedilfrac12jaring ocirc|adOumlcopytimesszlig_frac12jOcircaacutefcQZUcedil iacute ocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave admacrfj ^QMeJgZaringN H JLhQsNPfg^eJLhQVUiN H QVUPJOtilde[SXuumlStimesYa $ szliglOumlcopytimes)jaringsup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j|aacutefcQZUcedil iacute uumlStimesa $ ragrave3frac12ba $ jszliglOumlutimes agrave3frac12sup1a $ jj uuml]timesa $ szliglOumlcopytimesdjagrave admacr j^QMeJaumlYZMNiKEgraveJOtilde^eJLhQU~N H QVUPJOtilde[SXOcircuuml]timesa $ szliglOumlutimes)jaring

uumlnotraquotimes a $ szliglOumlcopytimesUcircszlig_frac12 jaacutefcQZUcedil iacute uumlStimesYa $ szliglOumlutimesragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave admacrS]j

uumlnyacutenthornnyumll13YSordmY_Fordfy

yenKbrvbarsect =4 acirc $ hq centUWQR[]jYZfVmSe-centmaJkBKNPO^QcO[ admacr jUacuteNPbLbn[Ph^QcOF[ H [hdY H [Phd^eJLhordfNmBfR[PhordfXiacute[PhlZtimesjfcNeWFJaumlMNUPJSaring sup1uumlStimesYa $ szliglOumlcopytimesUcircszlig_frac12 jaacuteAumluumlnotraquotimes a $ szliglOumlcopytimesszlig_frac12jhuumlStimesa $ szliglOumlcopytimes)j frac12sup1a $ j admacrj J H MeJUOabn[]ZOslashK-j H JZOslash[PhJaumlKhZJUbLQcYZJUfVm H MJ0jfRJLhQcNPO ^eJLhdQVU~N H QUPJauml[SXcopyocirc|adOumlcopytimesdj^ JMNUPJSaringocircOcircadOumlutimesaagravejj ocircOcircadOumlutimes)jagrave aacute fagrave = thorn yuml uuml times a $ aagravejszliglOuml times aagravejj $ uuml times a $ szliglOuml times j $ FH admacrSmacr]j5O H MJohY H QcO H J[PhdNPfdeltWFJZaringN`PJ H MeJU~NihdQcNicentfRJ bMNPO[PJ $ aagravejaacute $ agrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacuteethicirc7a2atildeshyszligaumlFjszligicirc cent a2atildeltszligaumlj eWMQcbdM[]QVUPJUYaring thorn yuml uuml]timesYa $ aagravejszliglOumlcopytimesYaagravejj $ aacute admacrS]j

5 uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlutimes agrave3frac12sup1a $ jjlt^eJ H ocirc a $ jlt $WMJLhZJocirc a $ jQcY H MeJgXiacute[]fcfR[WQcO[aringSNPbn[PcentQcNPOtZaringN H hdQkKaring

ocirc a $ jaacute oacute fcedilxagrave frac14 iacute oslashfrac14Uordm agrave frac14 iacute oslashfrac14 ugraveagrave frac14 iacute acircfrac14ordm fcedil agrave frac14 iacute acircfrac14 ugrave ocircNPO^ YZ[eFWNtildeJIacuteMNUPJSaring

^eJ H ocirc a $ jOcircaacute fUragravee^QVUKafrac34frac12sup1a $ jjragrave cent ^eJ H amacr frac12sup1a $ jjMJUOWNtildeJauml[Pcent H NPQcOOaring

fsQZcedil iacute ^eJ H ocirc a $ j fagrave aacute ^QVUKafrac34frac12sup1a $ jj admacr]zSjMJJBjN H QR[]OxadmacrSmacr]j H MeJUOcent=JUbn[]ZaringJUYaringocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave aacute fagrave middot uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jjlt 13raquo ocirc a $ jlt $ uumlStimesa $ szliglOumlcopytimesAj $ admacrSi]j JTbLNPO`YZjeKKEgrave[]YJ H MN H ^eJ H aocirc a $ jjfrac14aacute sfrac12 agrave frac12 $ ^ JZaringNm H MeJUO H N`PJ^eJ H aocirc a $ jjfrac34 s eNPO^ WNtildeJ ^eJUPJUfR[PK H MeJaJkWKhZJUYYZQR[]OadmacrSi]j NPYoX[]fsfR[WQsO[centmNP^^QcO[aringN H JLhZ QcO H MeJIacuteYZJUbn[]O^aQcO H J[PhNPfltWMQcfcJaumlYZjeKKhJUYZYZQcO[ H MeJtimesYZNSZOslashJ H JLhlZQcO H MJordfhY H QcO H J[PhNPfdaring ocirc|adOumlcopytimesYaagravejj ocirc|adOumlcopytimes)jagrave aacuteegraveOtildef1rOtilde cent admacrSh]j

uumlnyacutenthornnyumll13YSordmY_Fordf

s $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJSaring

Otilde aacute uuml]timesa $ ragrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave ^eJ H aocirc a $ jj $ ad s jOtilde cent aacute uuml]timesa $ szliglOumlcopytimesdj ^eJ H aocirc a $ jj fagrave $ adfj

9J H jY_ZaringN`PJordmagrave H JUO^ H [WNih^Y s ^curreniquestYZQcO[frac34admacrjiexclNPO^JOQ H Qc[]OYadmacr e macrS]jeWFJ[PJ H aringfcQZUcedil iacute Otilde aacute sup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j $

aacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ uuml times a $ szliglOuml times j frac12sup1a $ j $fcQZUcedil iacute Otilde cent aacute uuml]timesa $ szliglOumlcopytimesdj^QVUKafrac34frac12 j $

O^ Y[Xiacute[Ph H MeJgNtildejfRJLhQsNPO ^eJLhQVUiN H QVUPJSeWFJgO^Oaring ocirc|adOuml times szlig_frac12jumlaacuteyacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ amacrreguumlStimesYa $ szliglOumlcopytimes)j frac12sup1a $ j7 uuml]timesYa $ szliglOumlcopytimes)j^QVUKafrac34frac12sup1a $ jjj $aacute uumlnotraquotimes a $ szliglOuml times szlig_frac12j $ ^QVUKaduuml times frac12j $ ad j

MeJUO NiKKfVmWQcO[ H MJ hJLJUOWVAQRJZ NPOO H MeJL[PhZJZQcO ad jeWNtildeJ5ONPfcfmtimes[Pcent H NPQcOOaring ocirc|adOumlcopytimesszlig_frac12jOcircaacute uuml raquotimes a $ szliglOumlcopytimesUcircszlig_frac12j $ uacutefrac14 5 uuml]timesYafrac34frac12 eacuteAgraveiquestsup1AacuteAtildeAcircj THORN adS]jWMJLhZJ5eacuteAgraveiquestsup1AacuteAtildeAcircyQcY H MeJUacutejOQ H QcOOgraveWNih^ Oe[PhlZaringNPf H [ aelig OumlcopytimesUcirc^MeJ_NtildejfRJLhQcNPO ^eJLhQVUiN H QVUPJQcY(O[ H JU^ ocirc raquo aagravej(QcO H MeJaumlKNiKEgraveJLhNPO^ H MeJaumlYZMNiKEgraveJauml^eJLhQU~N H QVUPJyuuml raquotimes QcY(Oe[ H JU^ frac14 frac14 ^iquest acutemicrosup1cedilFLft not [PhyYQZOslashKfcQsbLQ H mSeWNtildeJ(bM[[]YJ H MeJcopyXiacute[]fcfR[WQcO[_U~NihQsN H QR[]OaeligQcO H MeJKhZ[B[SXaring$ aagravejaacute $ agrave3frac12sup1a $ j^MJiexclKh[[SXZaringNm NPfcYZ[IacutecentEgraveJiexcl^JUPJUfR[PKEgraveJU^WiexclQ H MZaring[PhZJ_[PJUOJLhNPfUiNihQcN H QR[]OYFYjbM NPYaring $ aagravejaacuteAacuteAgravea $ szligYagravejWQ H MAcircAgrave`NOslashYYZOslash[B[ H MXiacutejOb H QR[]ONPO^AcircAgravea szligYagravejcentQ ~5JUb H QVUPJS^

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ ffrac12OcircacuteIshyNT AcircE J(MNUPJ H [Otildebn[]ZOslashK-j H J H MJNtilde^QEgraveJLhZJUO HH JLhZaringY9[SXQa macr]j9QsOauml[Ph^eJLh H [Uacute[Pcent H NPQcO H MeJ

JUP[]fcj H QR[]OJBjN H QR[]O[SX H MeJ NPb H QUPJ bn[]O H []jehX[Ph H MeJ ^JUYZbnhQRK H [PhdYaumlcentNPYJU^Oacute[]OH MeJ(bn[U~NihQsNPObnJ ZaringN H hQVktimes^eJ H JLhlZ QcONPO H a2Ograveh]j^OgraveMeJ(bn[]ZOslashKj H N H QR[]OaringQcYampKEgraveJLhYXiacute[PhlZOslashJU^Xiacute[Ph H MeJIacute^eJUYZbnhQRK H [Ph_uuml thorn timesOslash yuml ^ q centUWQR[]jYZfmSeN YZQZ QcfcNihbn[]ZOslashKj H N H QR[]OabLNPOacent=JIacute^e[]OeJXiacute[PhOcircuuml thorn UgraveUcircUacuteUuml yuml ^ JiexclbLNPOaeligJkBKhJUYZYOcircuuml thorn timesOslash yuml NPYyNUacutebn[]ZTcent-QcON H QR[]Oaelig[SXgtXiacutejOb H QR[]OYamp^eJLKEgraveJUO^QcOF[[]O H MJOtildehZJ[]QR[]OwOuml timesOslash aring

uumlgtthorn times Oslash yuml a2atildeltszligaumlgtszligYagravejaacute`Ograveoacute m thorn timesOslash yumlaIgraveagrave thorn timesOslash yumlAtilde j cent ocirc adjWMJLhZJordmaacuteAuml85eWiexclQ H MAring8 H MeJordfXqjOb H Qc[]O QcO H h[B^jbnJU^ QcOpounda2Ograveh]je-NPO^aringm thorn timesOslash yuml aacute agrave thorn timesOslash yuml agrave thorn timesOslash yumlcent agrave thorn timesOslash yuml agrave thorn timesOslash yumlAElig agrave thorn times Oslash yumlCcedil agrave thorn timesOslash yumlEgrave agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlEgrave j cent agrave thorn times Oslash yumlcent aIgraveagrave thorn timesOslash yumlCcedil j cent agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlAElig j centWQ H MOaring EFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFH

agrave thorn timesOslash yuml aacute w$ thorn yuml aOtilde S times Oslash j cent atilde aumlagrave thorn timesOslash yumlcent aacute w$ thorn yuml aOtildeOgravecent Scenttimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yuml aacute w$ thorn yuml aOtildeS Stimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yumlAElig aacute w$ thorn yuml aOtilde S times Oslash jaOtildeOgravecent ScenttimesOslash j atilde aumlagrave thorn timesOslash yumlCcedil aacute w$ thorn yuml aOtilde S times Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlEgrave aacute w$ thorn yuml aOtilde cent S centtimes Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlAtilde aacute w$ thorn yuml atilde auml O^ Y[ H MJordfXiacutejOb H QR[]OY aelig thorn timesOslash yumlauml MNUPJ H MeJgXiacute[]fcfR[WiexclQcO[aeligJkBKhZJUYZYZQR[]OYaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

aelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlcent aacute aOtilde cent S centtimesOslash j centaelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlAElig aacute aOtilde S timesOslash jaOtilde cent S centtimesOslash jaelig thorn times Oslash yumlCcedil aacute aOtilde S timesOslash jaOtilde S timesOslash jaelig thorn times Oslash yumlEgrave aacute aOtildeOgravecent ScenttimesOslash jaOtilde13 StimesOslash jaelig thorn times Oslash yumlAtilde aacutemiddotf

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBnot h[]Z H MeJUYJaumlJkWKhZJUYYZQR[]OYeWFJOtildeJUNPYZQcfm ^eJU^jbnJ H MN H aring

$ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde aumlregaacute sEacutefrac12poundEcirc iuml

J H MeJUO MNUPJ H [Tbn[]ZaringKj H J H MeJ H JLhlZaringY eacute thorn times Oslash yumlauml XiacutehZ[]Z H MeJJkWKhZJUYZYQR[]OYamp[SXagrave thorn timesOslash yumlauml eWMQcbM fRJUNP^Y H [aringEFFFFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFFFFH

eacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideoslash aacute w$ thorn yuml uacute ouml $ordfdivideacirc uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIgrave yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H a timesOslash jjeacute thorn timesOslash yumlcent aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideacirc

aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIcirc yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideEuml aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideacirc thorn thorn uacute ouml $_divideIuml yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yumlAElig aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIuml aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideEuml uacute ouml $ordfdivideIuml thorn uacute ouml $_divideIcirc uacute ouml $ordfdivideIgrave yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlCcedil aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIcirc aacute w$ thorn yuml cent thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideacirc uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlEgrave aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIgrave aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideoslash uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlAtilde aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIacute aacute w$ thorn yuml thorn +ETH ouml $_dividethorn uacute ouml $ordfdivideIacute yuml Iuml 8 raquo aq^J H a timesOslash jj

O^centmJkWKhZJUYZYZQsO[ H MeJbn[UiNihQcNPObnJZaringN H hQVkpoundWQ H M H MJregXqjOb H QR[]OYagrave thorn timesOslash yumlauml NPYXiacute[]fcfR[WQcO[aring

timesOslashlaquoaacute 1NtildeNtildeNtildeNtildeNtildeNtilde3uacute ouml $ordfdivideoslashuacute ouml $ordfdivideIacute uacute ouml $_divideIumluacute ouml $_divideIacute uacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIumluacute ouml $ordfdivideIacute uacute ouml $_divideacircuacute ouml $_divideIacute uacute ouml $ordfdivideIgraveuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacute uacute ouml $_divideIgraveuacute ouml $_divideIacute uacute ouml $ordfdivideEumluacute ouml $ordfdivideIacute

6OgraveOgraveOgraveOgraveOgraveOgrave7 J H MJUO^eJU^jbnJSaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

eacute thorn times Oslash yuml aacute a fj thorn yuml ^eJ H aDC Ptimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlcent aacute a fj thorn centcent yuml ^eJ H aDC centcenttimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yuml aacute a fj thorn curren yuml ^eJ H aDC 4times Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlAElig aacute a fj thorn cent yuml ^eJ H aDC centtimes Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlCcedil aacute a fj thorn curren yuml ^eJ H aDC times Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlEgrave aacute a fj thorn centcurren yuml ^eJ H aDCcent4times Oslash j48 raquo aq^eJ H a timesOslash jjeacute thorn times Oslash yumlAtilde aacute amp^eJ H a timesOslash j48 raquo aq^eJ H a timesOslash jj

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ SWMJLhZJC EBtimesOslash QcY H MeJgZaringN H hdQk ^eJU^jbnJU^Xh[]ZOacutetimesOslasharingcentm YZjeKKhZJUYZYZQcOF[ H MeJyuuml UumlON hZ[WNPO^ H MJ I UumlON bn[]fcjFZaringOO^]MeJbn[]ZOslashKj H N H Qc[]OordmX[Ph H MeJ^eJUYZbnhdQRK H [Ph|uuml thorn UgraveUcircUacuteUuml yuml QcYyYQZaringQcfcNihNPO^WFJ H MeJUOOslashMNUPJNPfcf H MeJ(JkWKhZJUYZYZQc[]OY H [aumlbn[]ZOslashKj H J H MeJJUP[]fcj H QR[]OaeligJjN H QR[]OXiacutehZ[]Z H MeJg[PJUOJLhNPfOXiacute[PhlZIacutejfcNta macr]j^gtMQcYcopy[]QVUPJUY H MeJTJUP[]fcj H QR[]O JBjN H QR[]Osup1admacr s j^

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBΩ out

Objects

Γ

inΩ

inΩ

Background Part

-t not Upv copy ETHEgraveIcircAtildeampAacuteiacuteCcedil=AumlFcedilAtilde5ordm|sup1Aumldraquo~AElig9AumldOgravefrac14raquoUacutesup1Igravefrac14dordm|Atilde

Ω

Ω out (τ)Ω

(τ)in

N

Γ(τ)

Ω

N

v

w

N

-t not Upv ETHEgraveIcircAtildeyEcircAumldIgravefrac14dsup1raquo~AEliggfrac14raquoiEcircAacuteIcircAtilde$AcircnAtilde5AgraveAacuteAumlcedilAEliggsup1raquoUAcircnAumldfrac12AcircnAtildeEcircsup1raquoiexclAacuteIcirc~Atilde$EcircAtildecedilsup1Acirc|frac14ZAacutesup1Aumldraquo

uumlnyacutenthornnyumll13YSordmY_F2ordf

yenKbrvbarsect =4 acirc $ Smacr

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 Atilde|IumligraveAacuteAtildecedil4frac14ZAacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvyzU eacuteWsup1ordm|AringcedilAtilde5AEligfrac14iquest Eacuteiquest AgraveJ]iUumlAcircnAumldfrac12AringAacutesup1Auml|raquoOtildeAumlOgraveeAacuteIcirc~Atildeyfrac14dAgrave Aacutesup1Acirc|Atilde0AgraveAuml|raquoLAacuteAuml|AringcedilIgravefrac14raquoifrac14ordm|AtildeEcircUacuteEacuteLfrac34AacuteIcirc~AtildefTHORN$Uuml v qzqwsup1raquo~Agrave5frac12AringiEcircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquoifrac14frac12ampAacuteAtildecedilIgrave(AElig5IumlgeacuteWsup1ordm|AringcedilAtilde5AEligOtildeEcirc]iquest Atildediquest Ograve] g sup1AEligwAringifrac14frac12sup1Ocirc5frac14Aacutesup1Auml|raquo`AumldOgrave0AacuteIcirc~AtildeTAgrave5AumldcedilwcedilAtilde5AEligwOumlPAumldraquoiEcircsup1raquoordmAcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 OgraveuAring~raquoAgraveAacutesup1Auml|raquosup1raquo~Agrave5frac12Aring~Ecircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquo~frac14dfrac12ampAacuteAtildecedilIgrave(AEligraquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirc EacutePAtildeAacuteiacuteCcedil=Atilde5Atilde5raquo ugrave frac14draquoiEcirc divide JUiquestAEligwAring~Agrave4IcircTAacuteIcirc~frac14Aacute$AacuteIcircAtilderaquo~Atilde5ordm|frac14Aacutesup1AcircnAtildeAcircdfrac14dfrac12AringAtilde5AElig0frac14cedilAtildefrac12AumlCcedilEgraveAtildecedilyAacuteIcirc~frac14draquo uacutedivide Uacutefrac14raquoiEcircaumlAacuteIcirc~AtildeOumlPAumldAEligwsup1Aacutesup1AcircnAtilde(Aumldraquo~Atilde5AEligyfrac14ZcedilAtilde(Icirc~sup1ordm|IcircAtildecedilAacuteIcircifrac14raquo uacuteZdivide Iuml

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

Ecirc]Iumligraveraquo~sup1currenAacutesup1frac14dfrac12BAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 Atilde|IumligraveAacuteAtilde cedil4frac14Aacutesup1Auml|raquo ugravedugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not Upv ucirc eacuteWsup1ordmdAringcedilAtilde5AEligtimesfrac14iquest Eacuteiquest AgraveJ]ampUumlAcirc|Auml|frac12AringAacutesup1Auml|raquoAumlOgrave(AacuteIcirc~Atildearingfrac14AgraveAacutesup1AcircnAtildeOslashAgrave5Auml|raquoLAacuteAumldAringcedilIacuteIgravefrac14draquoifrac14ordm|AtildeEcirc`EacuteUfrac34AacuteIcircAtildeOcircfTHORN$Uumlv q w iquestiexclCcedilgsup1currenAacuteIcirc~AumldAringAacuteAacuteIcirc~Atildefrac14dEcirc~Ecircsup1Aacutesup1Aumldraquoifrac14dfrac12TAacuteAtildecedilIgrave(AElig5IumliexcleacuteWsup1ordm|AringcedilAtildeAElig Ecirc]iquest Atildediquest Ograve] g sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo AumlOgraveaeligAacuteIcirc~AtildeAgraveAumldcedilwcedilAtildeEumlAEligwOumlPAuml|raquo~Ecircsup1raquo~ordm AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 OgraveregAring~raquo~Agrave Aacutesup1AumldraquoeumlCcedilgsup1currenAacuteIcirc~Auml|AringAacuteIacuteAacuteIcircAtilde frac14|Ecirc~Ecircsup1currenAacutesup1Aumldraquoifrac14frac12FAacuteAtildecedilIgrave(AElig v raquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirceumlAEligwAring~Agrave4Icirc AacuteIcirc~frac14AacuteIgravefrac14icirc vOOtilde wpOumldivide z w Iuml

uumlnyacutenthornnyumll13YSordmY_F2

S $amp)(+-)013021+345627893lt=gt9A6CB

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIumligravesAacuteAtildecedil4frac14Aacutesup1Aumldraquogt ugrave|ugrave AgravedIumlieacuteWsup1raquoifrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12Acirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 AtildedIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIumlieacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvtimesLg sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo(AumldOgravePAacuteIcirc~AtildeAtildeAcircnAuml|frac12AringAacutesup1AumldraquoAumldOgravePAacuteIcircAtildeEgraveAgrave5Auml|raquoLAacuteAumldAringcedil-frac14draquo~EcircNtildeAacuteIcirc~AtildeEgraveAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 v Ccedilgsup1AacuteIcircAuml|AringAacuteAacuteIcircAtildeEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircFAacuteAtilde cedilIgrave w OgraveregAumldcedilEgraveAacuteIcircAtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoAumlOgraveAacuteIcircAtilde9Ograveufrac14dAgrave5AtildeAring~AEligwsup1raquo~ordmyAacuteIcirc~Atilde9Agrave5AumlZAcirc|frac14Zcedilsup1frac14draquo~AgraveAtildeIgravefrac14Aacutewcedilsup1currenicirc]Iuml

frac14Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcircnAtilde EacuteIumligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 v AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde w Agrave|Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacutefrac34 v Acircdfrac14cedilsup1frac14draquoAgrave5Atilde w-t not Upv h=AumldIgrave(Oumlifrac14cedilsup1AEligwAumldraquoOtildeAumldOgraveAacuteIcirc~Atilde$sup1raquo~sup1currenAacutesup1frac14dfrac12eAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34iexclAgrave5Auml|Igrave(OumlAringAacuteAtildeEcircAringAEligwsup1raquo~ordmAacuteIcirc~Atilde$AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde0Igravefrac14Aacutewcedilsup1currenicircv iordmdAringcedilAtildeFEacute w AacuteAumliexclAacuteIcircAtildeAuml|raquoAtildeFAgrave5AumldIgrave(Ouml~AringAacuteAtildeEcircTAringAEligwsup1raquo~ordmiexclAacuteIcircAtildeFAcircdfrac14cedilsup1frac14draquoAgrave5Atilde v ~ordm|AringcedilAtildeFAgrave w OgraveregcedilAumldIgrave AacuteIcirc~AtildeNtildeAEligfrac14dIgrave(Atildesup1raquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcirc|Atilde v iordmdAringcedilAtilde$frac14 w Iuml

uumlnyacutenthornnyumll13YSordmY_F2_a

yenKbrvbarsect =4 acirc $ ]z

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv Oslash| THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5AtildeccediliacuteAtildecedilsup1UgraveUegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_o

Si $amp)(+-)013021+345627893lt=gt9A6CB

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv ordf THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5Atildeccedilqfrac14dUgraveUsup1currenfrac34LAumldegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_y

RR-0114-SJEHANpdf
  • wwwi3sunicefr
    • httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf
Page 33: LABORATOIRE INFORMATIQUE, SIGNAUX ET SYSTEMES DE …mh/RR/2001/liste-2001.pdf · 2002. 6. 27. · [Dir01] DIRAT L. “Outils pour des Mathématiques Interactives et Distribuées”

yenKbrvbarsect =4 acirc $ J [PcentUWQR[]jYZfm`MNUPJacuteu times aumlatilde aacuteu auml timesatilde ^shy9J H jYaumlO[ H J ^eJ H a atilde j H MJ ^eJ H JLhlZaringQsONPO H [SXH MeJaumlbn[U~NihdQcNPObnJZ N H hQkWiexclMQcbMJkBKhJUYZYZQR[]O QcY H MJgX[]fsfR[WQsO[aring

^eJ H a atilde jumlaacute u Patilde u centcentatilde u 4atilde u centatilde u atilde u cent4atilde u Patilde u cent4atilde u cent4atilde u centcentatilde u atilde u atilde u 4atilde u centatilde u centatilde a2Ogravei]jnot jOb H QR[]OY [SX H MeJeumlbn[UiNihQcNPObnJpoundZaringN H hQk ^eJ H JLhZaringQcONPO H YNihZJ jYJU^ NPY hJ[]QR[]O^eJUYbnhQRK H [PhY^ JIacutebMe[B[]YJ H MJordfX[]fcfc[WQcOF[aeligYZJ H [SX$^eJUYZbnhQRK H [PhYaringEFG FH uuml thorn UgraveUcircUacuteUuml yuml aacute98ordfaq^eJ H acopyUgraveUcircUacuteUumlAjjuuml thorn timesOslash yuml aacute98ordfaq^eJ H a timesOslash jjuuml thorn otilde)yuml aacuteOslashb a2Ograveh]jWMJLhZJ8ordfaOgravejFQcYNOslashKEgrave[]YZQ H QVUPJiexclXiacutejOb H QR[]O [SXampbLfcNPYZYograve aOtilde 13yjFNPO^Cb`NOslashKEgrave[]YZQ H QVUPJOtildebn[]OWVY H NPO H ^gJ H jYNtildeOe[W WhQ H J H MeJJUP[]fcj H Qc[]OaringJBjN H QR[]O [SX H MeJiexclNPb H QUPJbn[]O H []jehcentmbn[]ZOslashK-j H QcO[ H MJIacute^QEgraveJLhZJUO HH JLhlZaringYiexcl[SX_a j^J H NPQcfcYiexcl[SX H MeJIacutebn[]ZaringKj H N H QR[]O bLNPOcentEgraveJgXiacute[]jO^QsOaNiKKEgraveJUO^QVk X5^gtMJaumlJUP[]fcj H QR[]O`JBjN H QR[]O[SX H MJIacuteNPb H QVUPJaeligbn[]O H []jhQcY H MJgX[]fsfR[WQsO[aringaelig Yacuteaagravejaelig agrave aacute8gaq^eJ H atimesOslashjj 8ordfaq^eJ H a UgraveUcircUacuteUuml jj`b admacr s jlt8Icircraquodaq^eJ H a times Oslash jgt= ccedil A B egrave aOtilde S timesOslash jaOtilde B5 S BtimesOslash jB^eJ H aDC EBtimesOslash ja fj BGFH amp^eJ H atimesOslashj48 raquo aq^eJ H atimesOslashjj 8Icircraquodaq^eJ H a UgraveUacuteUuml jgt= ccedil I B egrave aOtilde Eacute S UgraveUcircUacuteUuml jaOtilde B S BUgraveUcircUacuteUuml jB^eJ H aDC JBUgraveUacuteUuml ja fj BKFH amp^eJ H a UgraveUcircUacuteUuml j48 raquo aq^eJ H a UgraveUcircUacuteUuml jjcedil13eacuteMJZaringN H hdQkLC JBatilde QsY ^JU^jbnJU^icircXh[]Z H MJeumlbn[U~NihdQcNPObnJbZaringN H hdQkM atilde centm YZjeKeVKhJUYZYZQcO[ H MeJ uuml UumlON hZ[WENPO^ H MeJ I UumlON bn[]fcjFZaringO^MeJeumlfcNPY H Xiacute[]jeh fsQcOeJUY [SX H MeJJBjN H QR[]ONihZJ H MeJOtildeNP^^Q H QR[]ONPf H JLhZaringY(bn[]ZaringQcO[XiacutehZ[]Z H MeJiexclU~NihQsN H QR[]O [SX H MeJOtilde^eJnVYZbnhdQRK H [PhYWiexclQ H Mordmagrave^ Y0Q H MNPYycentEgraveJLJUOOslashKhJUBQR[]jYZfVmTKhZ[UPJU^X[Ph[PhZJmWYZbLNPfRJiexclQCZaringN[PJUYeH MeJUYZJ H JLhlZaringYMNUPJ H [ cent=Jaumlbn[]OYZQc^eJLhZJU^ QsO[Ph^eJLh H [regZ N`PJ H MeJTNPb H QUPJTbn[]O H []jhbn[]OUPJLhY[PJ H [WFNihd^YNZ QcOQZtimesjFZ [SX H MJTbnhQ H JLhQc[]OO^macr^ ^~THORNUgrave2FIgraveFEgrave2Iacute_IgraveFOacuteshyETHOgraveNtildeshyEumlEgraveOIgraveIcircdEumlETHOIcircnot [Ph H MJ JkWKEgraveJLhQZOslashJUO H YeQWNtildeJ H N`PJCntildea]jordmaacute ILK Kaf[]jgWMQsbMsup1[]QVUPJUYnntilde raquo aOgravejaacutefdOafWOgravej(NPO^8ordfaOgravejaacute ILK KafIcirch cent juWMQcbdMt[]QVUPJUY8 raquo aOgravejaacute ETHOafIcirch cent j^ JbdMe[[]YZJ bbaacute f s ^QMeJaringbn[]fR[PhtimesYKNPbnJ YJUfcJUb H JU^QcYaQPszlig l szligicirclaquojeltWMeJLhZJwaOtilde aacuteRPordmjhZJLKhZJUYJUO H Y H MeJfsjFZaringQcONPObnJNPO^waOtildeOgravecent5aacute l j$NPO^frac34aOtildeS aacuteOslashicircj$hZJLKhZJUYJUO HyH MeJ H WF[bdMehZ[]ZaringQcONPObnJUY^ not [Ph H MeJbn[]ZaringKj H N H QR[]OOslash[SX H MeJuUiNihQcNPObnJSei[]Ofm H MeJfcjZaringQcONPObnJQcY(jYJU^O^

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CB5Oaring[Phd^eJLh H [aeligYJ[]ZOslashJUO H NPO Me[]ZOslash[S[PJUOJL[]jY0hJ[]QR[]OOeOgraveWFJiexclY H Nih H WQ H M NPO QcOQ H QcNPf

bLjehlUPJ0QcOYZQs^eJ H MJ0hZJ[]QR[]Oauml[SXWQsO H JLhZJUY H ^MeJybLjhYUPJ0QcY H MJUOTYZjeKK=[]YZJU^ H [JkWKNPO^jO H Qcf(Q H hJUNPbMeJUY H MeJ centEgrave[]jO^NihlmOacute[SX H MeJabn[]ObnJLhdOeJU^ Me[]Zaring[S[PJUOeJL[]jYaringhJ[]QR[]OO^MJtimesbLjehlUPJtimes^e[BJUYUacuteOe[ H [P[cent=JmP[]O^ H MJUYJaeligcent=[]jO^NihQRJUYiexclYZQcObnJSe=[UPJLh H MeJLhZJSe H MeJbnhQ H JLhQR[]OOacuteQsObnhZJUNPYJUYtimescentEgraveJUbLNPjYJ H MeJU~NihdQcNPObnJOcircu centtimesOslash [Ph H MeJ bn[U~NihdQcNPObnJtZaringN H hQVk^eJ H JLhZaringQcONPO H ^eJ H atimesOslashjUcirccentOtildeQsObnhZJUNPYJS^MeJaringNPfV[P[PhQ H MZEcentNPYJU^[]O H MeJ bn[UiNihQcNPObnJZaringN H hQVkeumlQcYaumlK=JLhlX[PhlZaringJU^euml[]ONPOQZ N[PJ [SX H MeJUBQs^eJL[`YJBjeJUObnJrnN`WQVmP[]peumlQcO[Ph^JLh H [euml^eJ H JUb HaeligH MeJYKEgraveJUN`PJLhUTYXqNPbnJS^gtMJaumlJUP[]fcj H QR[]O[SX H MJIacutebLjehYUPJIacuteQcYu[]QVUPJUO QcO not QV[^ macr^gtMeJTbn[]O H []jehiexclJUP[]fUPJUYH [ONPfcfVmbn[]OUPJLhY[PJaelig[]O H MeJIacutecent=[]jO^NihQRJUY[SX H MJyXqNPbnJa not QV[^ macr^bj^OMeJyXiacuteNPbnJaeligQcYH MeJUONPbLbLjehdN H JUfVm YZJ[]ZOslashJUO H JU^^FMeJUacuteNSZOslashKfcQ H j^eJ[SX H MeJiexclUPJUfR[BbLQ H m QsYFNPfsY[laquo[]QVUPJUOQcO not QV[aqYj^ macr^ ^OecurrenJSe Xfrac34jNPO^WNtildeJUacutebLNPO [PcentYJLhYUPJ H MN HFH MeJ5XiacuteNPbnJUacutehZJ[]QR[]O QcYUPJLhYmWFJUfcf^eJUfsQZaringQ H JU^regXhZ[]Z H MJ[ H MJLhhZJ[]QR[]OY^MJ5UPJUfc[BbLQ H m[]QUPJUO QcO not QV[aqYj^ macr^ ^OecurrenJSe XQcObLfcj^eJUY H MeJNP^^Q H Qc[]ONPf H JLhlZaringYFbn[]ZaringQcOF[yXiacutehZ[]Z H MeJ5UiNihQcN H QR[]O [SX H MeJiexcl^eJUYbnhQRKeVH [PhY5WQ H Magrave`centj H ^e[BJUYOtildeOe[ H QcObLfcj^eJ H MeJaeligcentEgrave[]jO^NihlmVcentNPYZJU^ H JLhlZ WMQcbMeumlQcYUacuteNYYZaring[[ H MQsO[ H JLhlZ^KMeJtimesNSZOslashKfcQ H j^eJOtilde[SX H MeJyUPJUfc[BbLQ H maQcYiexclOe[PhlZaringNPfcQcurrenLJU^ centEgraveJ H WFJLJUOs NPO^ macrSmacre$YZjbdM H MN HTH MeJ OeJ[]N H QVUPJoU~NPfcjJUYIacuteNihZJ fR[WFJLh H MNPO f i`NPO^ H MeJKEgrave[]YZQ H QUPJ[]OJUYNihZJTMQ[]MeJLh H MNPOpoundf i^ J bLNPObn[]ZaringKNihZJ H MJ QcOQ H QsNPfUPJUfR[BbLQ H m[Pcent H NPQcOJU^jYZQcOF[ H MeJ bn[U~NihQsNPObnJZaringN H hdQk admacr s juWQ H M H MeJOtilde[]OeJOtilde[Pcent H NPQcOeJU^jYQcO[ H MeJordfUiNihQcNPObnJrega2Sj^KMeJordfXqNPbnJTQcYOe[ H WNtildeJUfsf9^eJ H JUb H JU^QcO H MeJUPJUfR[BbLQ H m[Pcent H NPQsOeJU^ajYQcO[ H MeJUiNihQcNPObnJa not Q[^ ^bjWMJLhZJUNPYIacuteQ H QcYIacutehZJUNPfcfmumlWNtildeJUfcfF^eJ H JUb H JU^QsO H MeJQcOQ H QcNPfUPJUfR[WbLQ H m7jYZQcOF[ H MeJbn[iVUiNihQcNPObnJpoundZ N H hQk a not QV[^ ^currencentj^_MeJ UPJUfR[WbLQ H m [Pcent H NPQcOeJU^ jYZQsO[ H MeJumlU~NihdQcNPObnJ^e[BJUYOe[ H NPfsfR[W NPOJltz bLQRJUO H YJ[]ZOslashJUO H N H QR[]O`[SX H MeJyXiacuteNPbnJauml[]O H MeJaumlbn[]O H hNihYm H [H MeJIacutebn[UiNihQcNPObnJlaquoZaringN H hQk^eJ H JLhZaringQcONPO H WMQsbM H N`PJUYUacuteNP^UiNPO H N[PJaelig[SX H MeJtimesbn[]fR[PhQcOFX[PhlZ N H QR[]OO^macr^ ^WVFEumlETH=gtNtildeFETH32EacuteltOacuterETHEacute`0Ntilde=KIgravek8ltIgraveFETHIgrave5=KETH32EacuteltOacute~2Oacute+(8ltIgraveEacute IcircIgrave5euml1IgraveFOacute=KIgraveIcircMJa^eJUYZbnhQcK H [PhYOslashcentNPYZJU^[]O H MJ`bn[UiNihQcNPObnJZaringN H hdQkNihJ`QZOslashK-fRJZOslashJUO H JU^ H [^eJ H JUb H MBjFZaringNPO XqNPbnJUYQcO UWQc^eJL[OacuteYJBjeJUObnJUY^MQsYaring^eJ H JUb H QR[]OegraveZaringNm cent=J`jYJU^Xiacute[PhtUWQc^eJL[ bn[B^QcO[ H [JUObn[W^eJYJUfcJUb H QVUPJUfVm H MeJOacuteMBjFZaringNPOegraveXqNPbnJS^ not [Ph`N []QVUPJUObn[]ZOslashKhZJUYZYZQR[]OOacutehN H QR[e H MeJoXiacuteNPbnJbLNPO7cent=J H hNPOYYZ Q HH JU^bWiexclQ H MN MQV[]MJLhThN H J H [H MeJ^eJ H hdQZOslashJUO H [SX H MeJcentNPbl`[Ph[]jO^O^uMQsY QsO H JLhZJUY H QcO[KhZ[PKEgraveJLh H m QcYUiNPfcjWVNicentfcJuX[PhUBQc^JL[Bbn[]OXiacuteJLhZJUObnJUYe]WMeJLhZJ H MeJ ZOslash[]Y H QZOslashKEgrave[Ph H NPO H NPO^regZOslash[]Y H U~NihdQcNicentfRJQcOFX[PhlZ N H QR[]OQcYfR[WbLN H JU^ []O H MJordfXiacuteNPbnJaq 5ZOslash[]Oe[]j`NPO^tUacutejMNSZaringJUfde sSsSs j^ J QcOQ H QcNPfcQVcurrenLJ H MJhdY H XiacutehNSZOslashJoWQ H M7N`bLQchbLfRJ QsOYZQc^eJ H MeJXqNPbnJ H [ H hNPbY`K^MJUOOeyacuteWFJsup1ZaringN`PJ H MeJNPb H QVUPJ7bn[]O H []jeheumlJUP[]fVUPJjYZQcOF[admacr s jeiexclWQ H MX8ordfaOgravejxaacuteILK KafUgravemiddot cent j^ltMeJregONPfybn[]O H []jehtimes[SX H MeJ bLjehZhJUO H QZaringN[PJ QcY H MeJUOOacutebdMe[]YJUO7NPYNPO QcOQ H QcNPfbLjhYUPJordfX[Ph H MJUacuteOJk H QZaringN[PJS^FMeJOtildeNPfV[P[PhQ H MFZMNPYcentEgraveJLJUOKEgraveJLhYXiacute[PhlZOslashJU^[]OYJUPJLhdNPf$YJjJUObnJUY^MeJaelighZJUYjf H Y5X[Ph H MJaeligYZJjeJUObnJpoundn5JLhQV`p NihJordm[]QVUPJUOQcOnot QV[^ethz^shyMeJaringKNihNSZaringJ H hZJ bMNPYaumlcentEgraveJLJUOYZJ HaumlH [sup1f s ^QMeJordmXqNPbnJ QcYordfWFJUfcfy^J H JUb H JU^NPO^ H hNPbY`PJU^times[]O H MJ|WMe[]fcJyYJjJUObnJS^MJyhZJUYZjf H YOX[Ph H MeJNtildeYZJjeJUObnJnN`WQVmP[]p

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ macrNihZJy[]QVUPJUO`QsO not QV[^ i^ JaeligbMe[B[]YJbaacute s ^ JtimesbLNPO`YJLJ H MN HH MeJXiacuteNPbnJaeligQcYuWFJUfcf^eJ H JUb H JU^aJUPJUOaQVX H MeJaumlbn[]fR[Phiexcl[SXMJLhYZMQRh H QsY(bLfR[]YJ H [ H MJgXiacuteNPbnJIacutebn[]fR[Ph^

YOEAEligMgtIltROgravesup3PshyAtildeT13MKI5O H MQcYKNiKEgraveJLheuWNtildeJKhZ[PKEgrave[]YJN OeJW 0jfRJLhQcNPOAumlZaringQsOQZaringQVcurrenUN H Qc[]OAumlZOslashJ H Me[W^ H [bn[]ZOslashK-j H J H MJUPJUfR[WbLQ H mpoundUPJUb H [Pharing[SXNPONPb H QVUPJ bn[]O H []jeh H MN H JUOYZjehZJUYtimesQ H WQcfcfJUP[]fVUPJ NPYordfXiacuteNPY H NPYOtildeKEgrave[]YZYZQRcentfcJ H [WNih^YIacuteNZaringQcOQCZIacutejFZ [SXN bnhQ H JLhQR[]OeumlQcObLfcj^QcOF[centEgrave[ H MUacutehZJ[]QR[]OeVcentNPYJU^TNPO^OtildecentEgrave[]jO^NihYmVcentNPYJU^ H JLhlZ Y^ q jehgNiKKhZ[]NPbMIacuteQcYcentNPYZJU^Otilde[]OYZMNiK=J[PK H QZaringQVcurrenUN H Qc[]OOslashKhQcObLQRKfRJUY$NPO^ QcYyKEgraveJLhYXiacute[PhlZOslashJU^ QcO H MehZJLJ5ZaringNPQcO Y H JLKYaringf^ltO H hZ[W^jb H QR[]O[SX$NOslash^mWONSZaringQcbLNPfYbMeJZOslashJIacuteQcO H MeJTbnhQ H JLhQR[]OOe ^vF[]ZOslashKj H N H Qc[]Oaelig[SX H MeJ_0jfRJLhdQcNPOaelig^eJLhQVUiN H QVUPJ[SX H MJbnhQ H JLhQR[]OOslashjYZQcO[OtildeYZMNiKEgraveJ

[PK H QZaringQVcurrenUN H Qc[]O H [[]fcYe^vF[]ZOslashKj H N H Qc[]Oa[SX H MeJtimesJUP[]fcj H Qc[]OaJBjN H QR[]O`[SX H MeJaeligNPb H QVUPJtimesbn[]O H []jehiexclXiacutehZ[]ZH MeJT^eJLhQU~N H QVUPJS^

iexcl Ntilde _ cent G NPfcfR[WY H [hJUNP^QcfVm H N`PJNtildeQcO H [NPbLbn[]jO H9H MeJybLNPYJ0[SXBhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H^eJUYbnhQRK H [PhY H MN H NihZJo[]fR[PcentNPfcfVmN HH NPbdMeJU^ H [ H MeJ JUP[]fVUWQcO[ hZJ[]QR[]OYtimesNPO^Y[H MN H UiNihYm^jehQsO[ H MJaumlKhZ[PKN[]N H Qc[]O [SX H MJaumlbLjehYUPJS^ JTYMe[W H MN HH MeJgUiNihQuVN H QR[]O [SX H MeJUYJ^JUYZbnhQRK H [PhdY QsO^jbnJUYNP^^Q H QR[]ONPf H JLhlZaringYQcO H MeJeumlJUP[]fcj H QR[]OJBjN H QR[]Oeuml[SX H MeJaringNPb H QVUPJ bn[]O H []jeh^MJUYJ H JLhlZaringYgZtimesjY H Oe[ H centEgraveJlaquoX[Phl[P[ HH JUOQcO[Ph^JLh H [ hZJUNPbMeumlN H hjeJZ QcOQZtimesjFZ[SX H MeJtimesbnhQ H JLhQc[]OaNPYUacuteQ H MNPYcentEgraveJLJUOKEgrave[]QcO H JU^[]j H QsOJkBKEgraveJLhQZaringJUO H NPfEgravehZJUYjf H Y^

Yfrac34XiacuteNiheumlNPYeumlMe[]ZOslash[S[PJUOeJL[]jYeumlbn[]fR[PheumlhZJ[]Qc[]OY`YZJ[]ZOslashJUO H N H Qc[]OQsY`bn[]ObnJLhdOeJU^OeWFJKhZ[PKEgrave[]YJ H MeJ`bn[U~NihQsNPObnJfrac34ZaringN H hdQk^eJ H JLhlZaringQcONPO H NPY N^eJUYbnhQRK H [Ph^MQcYY H N H QsY H QcbLNPfhZJ[]QR[]OeV4^eJLKEgraveJUO^eJUO H ^JUYZbnhQRK H [PharingNiKK=JUNihdY H [centEgraveJN UPJLhlm7hJUfRJU~NPO HH [B[]fampNPO^eumlY[ Q H MNPYUacutecent=JLJUOeumlYZjbLbnJUYZYXqjfcfVm NiKKfsQRJU^ H [XqNPbnJaring^eJ H JUb H QR[]OQcOfrac34UWQc^eJL[YJBjeJUObnJUY^

iquest acuteraquoacuteLacuteIltR]acuteAtildeagraveIgravefrac14dEcircsup1Atilde5AringiquestLmiddotNtildeIumliquestUumlgIumlUTHORNampAtildeEacutecedilAtilde5AringAcircnAtilde|iquestaacuteIacuteIumlIZEgravefrac14Zcedilfrac12frac14dAringiEcirc]iquestfrac14draquoiEcirc[NtildeIumlagraveAringEacutePAtildecedilwAacute4] uacute_^J^J^ iquest)` igraveraquoLCcedilfrac14cedil4Ecircfrac14draquo~Ecirc(Auml|AringAacuteCcedilfrac14Zcedil4Ecirc

Agrave5AringcedilAcircnAtilde$AtildeAcircnAuml|frac12AringAacutesup1AumldraquoTAringAEligwsup1raquo~ordm(frac12Atilde5AcircnAtilde5frac12AEligwAtildeAacuteampIgrave(Atilde AacuteIcirc~AumlUEcircSaIumligraveraquo13] x4~rv p4PldrRtcoPl|Egraveod5v pv i4vodaumlx4shyl not vsectpqo v tu not Iumlcb$Auml|EacutePAtilde|iquestednfrac14Oumlifrac14draquoIuml

agraveIgrave(Aumldraquo~Auml|Aringiquest~igrave4IumlPfrac14raquoiEcircfWIumliTHORNampAringIcircifrac14Igrave(Atilde5frac12G] divideugrave|ugrave|ugrave iquest` igraveAacuteAtildecedil4frac14ZAacutesup1Acirc|AtildeNtildeEacute~frac14dAgrave4UgraveUCcedilEgravefrac14cedil4EcircUacuteAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoUacuteOgraveregAumldcedilIcirc~sup1Atildecedil4frac14cedilAgrave4Icirc~sup1currenEumlAgravefrac14dfrac12=CcedilEgravefrac14AcircnAtilde5frac12AtildeAacutesup1Igravefrac14ordm|AtildeAgrave5AumlUEcircsup1raquo~ordmIaIumlaeligigraveiacuteraquoS] x4rv p ildrRtcodil|ampod5v pv P4vOtildeodOslashx4shy(l not vFsectpqo v tu not Iumlg frac14raquo~Agrave5AumldAring~AcircnAtildecediliquestehEgravefrac14raquoifrac14|Ecircfrac14Iuml

agraveAringEacutePAtildecedilwAacuteiquest[NtildeIumlWfrac14raquoiEcircifWIuml13b$Aumldcedilraquo~OumlcedilAuml|EacuteAEligqAacute4] divideugrave|ugraveuacute iquestkj ldrregv shy(ldrRtcl|ipwonm5v shyNtildetuOslashtushyl not vampipwo4v tu not sect9ldp4rRtcl|Egravedt lv pv ~rRtRl|9vDm~lrRtcod~ldiTrreg~vUacutel| Uiexcloqnldp4tcldrRtRod~ iquestpoAumlIuml uacute_qEr IumlOslashagrave9Ouml~Oumlfrac12sup1AtildeEcircaacuteUacutefrac14AacuteIcirc~AtildeIgravefrac14Aacutesup1Agravefrac14dfrac12BatildeAgravesup1Atilderaquo~Agrave5Atilde5AElig5iquestPatildeOumlcedilsup1raquoordm|Atildecedil g Atildecedilfrac12frac14dordmIumlhEgravefrac14dAEligwAtilde5frac12frac12Atilde5AElig5iquest g Iumliquest~szlig0Iumleb$sup1Igrave(Igrave(Atilde5frac12Riquestifrac14raquoiEcirc[NtildeIumlatildefrac14dOumlsup1cedilAumlI] uacute_^J^Er iquest`s[Atilde5AumlUEcircAtilde5AEligwsup1AgraveFfrac14dAgraveAacutesup1AcircnAtildeyAgrave5AumldraquoUAacuteAumldAringcedilAElig_aIuml x4~rv p4PldrRtcodPldpoundUodUp4Pl|WoqodshyiUrv paumlumltutcodutet13v uacute+w iquestex uacuteyIrz^ Iuml

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CBh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34LiquestBagraveyIumlWfrac14raquoiEcircidIumlBTHORNampAringraquo~Agravefrac14raquo13] uacute4^z^J^ iquest`[ampfrac14Igrave(AtildeEumlcAacuteIcirc~Atilde5AumlcedilAtildeAacutesup1Agrave(sup1raquoUAacuteAtildeordmdcedil4frac14Aacutesup1AumldraquoaeligOgraveuAumldcedil0sup1Igravefrac14dordmdAtildeAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIuml xQ|||~pwl~ lnrRtcodNtildeodiexclsect9lrRrv p auml9Pl| ~tuyldi j l|4Utu]vx4~rvreg t not v P4v Iumlh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34Liquestgagrave0IumliquestIumlgatildeUAacute4frac14dsup1Eacuteiquest9frac14draquoiEcircdIuml9THORNampAringraquo~Agravefrac14raquo13] uacute_^J^ xiquest` THORNampAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeIacuteEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34iraquo~Ecircsup1raquo~ordmsup1raquoIgrave(AtildeEcircsup1Agravefrac14frac12iexclsup1Igravefrac14ordm|Atilde5AEligaringEacuteLfrac34Oacutesup1raquoLAacuteAtilde5ordmcedil4frac14Aacutesup1raquo~ordm ordmdcedil4frac14|Ecircsup1Atilde5raquoLAacute frac14raquoiEcirccedilAtilde5ordm|sup1Auml|raquo sup1raquoOgraveuAumldcedilIgravefrac14ZAacutesup1Auml|raquo13aIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu notI iquesteE ^4y rdugrave Iumlh=Icircifrac14raquoiquestBETHIumlWfrac14raquoiEcircIuml g Atilde5AEligwAtildeJ] dividedugravedugraveuacute iquest` agraveAgraveAacutesup1AcircnAtildeFAgrave5Auml|raquoLAacuteAuml|AringcedilAElig$Ccedilgsup1AacuteIcircAuml|AringAacuteNtildeAtilde5Ecircordm|AtildeAElig_aIuml xQ||k|~pwld lnrRtcododUacutex4shy(l not v9sectpqo4v 4tu notuU v divideJw iquest divide xJx ydividezrJr Iumlh=Icirc~Atilde5AEligwraquo~frac14dAring~EcirciquesthIumliquestfWIuml=szligAtildeOgraveYacutecedilIAtilde5ordm|sup1Atildecediliquestfrac14draquoiEcirc g Iuml5Z=AumldAring~frac12AtildeAacute4] uacute_^J^z^ iquest`currenatildeUAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12cedilAtilde5ordmdsup1AumldraquoAEligwraquoifrac14dUgrave|AtildeEumlsEacuteifrac14dAEligwAtilde5EcircAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquofrac14|Ecircfrac14dOumlAacuteAtilde5EcircFAacuteAumlyEcircsup1s]AtildecedilAtilde5raquoLAacute-Ouml~IcircLfrac34AEligwsup1Agrave5frac14dfrac12~raquoAuml|sup1AEligwAtilde9Igrave(AumlUEcircAtilde5frac12AElig_aIuml xQ||k|~pqld~ lnrRtco~$osect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4vt iquest uacute|uacute_q y~uacute|uacute xIumlh=Auml|IcircAtilde5raquoiquestIuml] uacute4^z^uacute iquest`currenmiddotraquofrac14dAgrave Aacutesup1Acirc|Atilde Agrave5AumldraquoLAacuteAuml|AringcedilIacuteIgrave(AumlUEcircAtildefrac12AEligtimesfrac14draquo~EcirceumlEacuteifrac14dfrac12frac12AumlLAuml|raquoAElig_aIuml odshyiUrv pumltutcod pwl Utc0ldix4shyl not vsectEgravepwo4v tu not x4shyl not vOtildePnv p rsldidtu not) iquest divideUuacuteduacuteydivideLuacute UIumlh=Auml|IcircAtilde5raquoiquestSIumliquestUumlIuml13ZEgravefrac14cedil4Ecircsup1raquo~AtildeAacuteiquestfrac14raquoiEcircoNtildeIumlagrave9frac34Lfrac14dAgrave4Icirc~AtildeJ] uacute_^J^z iquest`atildeUAringcedilwOgraveufrac14dAgrave5Atilde0cedilAtilde5Agrave5Auml|raquoAEligqAacutewcedilAring~AgraveAacutesup1AumldraquotimesAring~AEligwsup1raquoordmfrac14AgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilaumlIgrave(AumlUEcircAtilde5frac12AElig_aIuml igraveiacuteraquoS] Lsect=xQ|od5v pv P4v od vwodshy(v rRp tc j v rregodtimestuodshyiUrv pumltutco Iuml~atildefrac14raquoUacuteTHORNampsup1Atilde5ordm|AumliquesthEgraveagraveyIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquestEgraveUumlIuml] dividedugrave|ugravedugrave iquest`currenatildeAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquo Ouml~frac14cedilAgrave5Auml|raquoLAacuteAuml|AringcedilAEligUacutefrac14AgraveAacutesup1currenOgraveuAEligUacuteAtilde5raquosup1Igravefrac14dordmdAtildecedilsup1AtildeIacuteIgraveAtilde5Ecircsup1Agravefrac14dfrac12AtildeIacuteEcircfrac34UEumlraquoifrac14dIgrave(sup1ecircLAring~Atilde]ampfrac14Ouml~Ouml~frac12sup1Agravefrac14ZAacutesup1AumldraquoAtilde5raquoeumlAgravefrac14Zcedil4Ecircsup1Auml|frac12Auml|ordmdsup1Atilde raquoUAring~Agravefrac12Atilde5frac14dsup1currencedilAtildeJaIumlfIcircIuml THORNFIumlAacuteIcirc~Atilde5AEligwsup1AElig5iquestraquo~sup1AcircnAtildecedilAEligwsup1currenAacutefrac34`AumlOgraveosup1Agrave5AtildeEumliacuteatildeAumldOuml~Icircsup1Yacutefrac14NtildeagraveraquoLAacutesup1OumlPAuml|frac12sup1AElig5iquestPeacutecedil4frac14raquo~Agrave5AtildedIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquest|UumlIumliquestUaacuteIacuteIumlEZEgravefrac14cedilfrac12frac14dAring~Ecirciquest[NtildeIumlLagraveAringEacutePAtildecedilwAacuteiquest|frac14draquoiEcirc dIumlnTHORN$frac14ZcedilAgrave5Auml|AringcedilwAacute4] divideugrave|ugraveUuacute iqueste`currenatildeOuml~frac14dAgrave5AtildeEgraveAacutesup1Igrave(AtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14EumlAacutesup1AumldraquoUacuteAring~AEligwsup1raquoordmfrac12Atilde5AcircnAtilde5frac12AEligwAtildeAacutefrac14dAgraveAacutesup1AcircnAtilde$AgraveAuml|raquoLAacuteAuml|AringcedilAEligfrac14Ouml~Ouml~frac12sup1AtildeEcirciexclAacuteAumlFIgraveNtildefrac34LAumlLAgravefrac14Zcedil4Ecircsup1frac14dfrac12ordmnfrac14ZAacuteAtildeEcircOtildeatildeIf-UumlkhEgraveETHaIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu not t v rJw iquest)x qJ+y xJ ^ Iuml

THORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquest13iexclNtildeIumlfrac14draquo~EcircdIumlWaacuteAuml|raquoLAacute4frac14ordm|raquoifrac14ZAacute4] divideugrave|ugraveUuacute iquest` ETHBAumldOumlPAuml|frac12Auml|ordmfrac34Oslashfrac14raquoiEcircIacuteAEligwIcirc~frac14dOumlPAtildeAgraveAuml|raquo~AEligqAacutewcedil4frac14sup1raquoUAacuteAEligyAumldraquotimesOumlifrac14Zcedil4frac14EumlIgrave(AtildeAacutewcedilsup1AgraveOslashfrac14dAgraveAacutesup1AcircnAtildearingAgrave5AumldraquoLAacuteAuml|AringcedilAElig_aIuml odshy~rv pumltutcodldP x4shy(l not vPLv p4rsldPtu notcent) v divideJw iquestuacute_qnugrave4yiuacute4rUuacute Iuml[Auml|Igrave(Atilde5AElig5iquestpounddIumlfrac14draquo~EcircaringmiddotNtildeIumleacuteifrac14Aring~ordm|Atilde cedil4frac14dAElig_] divideugrave|ugrave|ugrave iquestcurren` szlig9Atilde5Agrave5Aumldraquo~Agrave5sup1frac12sup1raquo~ordmIacuteEcircsup1AEligqAacute4frac14draquoAgrave5AtildeOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligfrac14draquo~Ecircaeligfrac12Atilde5AcircnAtilde5frac12EgraveAEligwAtilde AacuteAElig_aIumlpoundUodUp il|WoqUacuteumltul|-odshyNtildeshyFU~tR4lrRtcodTldix4shyl not vampgvipv v rsldrRtcod ) iquest dividedugravez^+ydivideddividez Iuml[cedil4frac145frac34LiquestszligyIumliquestdIumlyen-Auml|Aringraquo~ordmiquestampfrac14raquoiEcircagrave0Iumlampagravesup1currenfrac34LAtildecedil4] dividedugravedugraveuacute iquest `aacutesup1raquosup1IgraveNtildeAring~Igrave Ecircsup1AEligwAgrave cedilsup1Igrave(sup1raquo~frac14Aacutesup1Auml|raquosup1raquoOgraveregAumldcedilIgravefrac14Aacutesup1AumldraquoAgrave5frac12Aring~AEligqAacuteAtildecedilsup1raquo~ordmI]Igrave(AumlUEcircAtilde5frac12sup1raquo~ordmTfrac14raquoiEcircOslashecircLAringifrac14raquoUAacutesup1Ocircfrac14ZAacutesup1Auml|raquoOslashCcedilgsup1currenAacuteIcirc ordm|frac14dAringAEligwAEligIgrave(sup1currenicircAacuteAringcedilAtilde5AElig_aIumlTigraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquest=atildePIumliquest=aacuteIacuteIumlkZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestEgravefrac14raquoiEcirc[NtildeIuml=agrave9Aring~EacutePAtildecedilwAacute4] dividedugrave|ugraveUuacute frac14Uiquest` agrave EumliacuteatildeUAacuteAtilde5Ouml frac14dfrac12ordm|Aumlcedilsup1currenAacuteIcirc~IgraveAring~AEligwsup1raquoordmcedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtilde=Agrave5Auml|raquoLAacuteAuml|AringcedilAEligeOgraveuAumldcedilAcircUsup1EcircAtilde5AumlAuml|EacuteUbrvbarqAtilde5Agrave AacuteAElig=EcircAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoSaIuml~igraveraquo13]psect xw j x4 sect odpDumlqo odUacutex4shy(l not v9Pl| ~tu5op j rRtushyvwdtclNtildex4rv pwlnrRtKndvy]v pntc4v IumliETHWfrac14dIgrave(OumlPAtilde cedilAtilde|iquestieacuteWsup1raquofrac12Yacutefrac14raquoiEcirc]Iumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquestUatilde]IumliquestUaacuteIacuteIumlUZ=frac14cedilfrac12frac14dAring~EcirciquestUfrac14raquoiEcirccopy[NtildeIumlUagrave9Aring~EacutePAtildecedilwAacute4] dividedugravedugraveuacute EacuteiquestA` szlig9Atilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14AgraveAacutesup1AcircnAtildegAgrave5Auml|raquoLAacuteAumldAringcedilAEligOgraveuAumldcedilAcircUsup1YacuteEcircAtilde5AumlaringAuml|EacuteUbrvbarqAtilde5Agrave AacuteOtildeAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo Ccedilgsup1currenAacuteIcircaAgrave5frac14dIgrave(Atildecedil4frac14OslashAgrave5AumldIgrave(OumlPAtilde5raquo~AEligfrac14ZAacutesup1Aumldraquo13aIumligraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquesteatilde]IumliquestWaacuteIacuteIumlZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestefrac14draquo~Ecirc[NtildeIumlBagraveAring~EacutePAtilde cedilwAacute4] divideugrave|ugraveuacute Agrave|iquestk` g sup1EcircAtilde5AumlUacuteAuml|EacuteUbrvbarqAtildeAgraveAacuteFAEligwAtildeordm|Igrave(Atilde5raquoLAacute4frac14Aacutesup1AumldraquoAring~AEligwsup1raquo~ordmIacuteAtilde5Aring~frac12Atildecedilsup1frac14draquo cedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAElig_aIuml igraveiacuteraquoS] x4rv p ildrRtcodil|yodv pwv P4vIacuteoodshyiUrv paumlumltutcod Iuml g frac14draquoAgrave5Auml|AringAcircnAtildecediliquestehEgravefrac14draquo~frac14|Ecirc~frac14UIumlbyfrac14dAEligwAElig5iquesteaacuteIacuteIumliquestWagrave0Iuml Ucirc sup1currenAacuteUgravesup1raquoiquestWfrac14raquoiEcirctimesTHORNFIumlWETHBAtildecedilOcirc5AumldOumlPAuml|Aringfrac12AumldAElig_] uacute4^ JUiquestk`currenatilderaquoifrac14UgravenAtilde5AElig_]WagraveAgraveAacutesup1AcircnAtilde(Agrave5AumldraquoLAacuteAuml|Aringcedil0Igrave(AumlUEcircAtilde5frac12AElig_aIumlx4~rv p4PldrRtcoPl|WpoundUop4PldWoqodshyiUrv pTumltutcod iquest ndivideUuacuteyUzndivide Iuml

aacuteUacutefrac14dfrac12frac12frac14|Ecircsup1ciquest~szlig0IumliquestedIuml]atildeUAtildeAacuteIcirc~sup1frac14raquoiquest~frac14draquoiEcircZIuml g Atilde5IgraveNtildeAringcedilsup1G] uacute4^z^ UiquestS`atildeUIcircifrac14OumlPAtilde$Igrave(AumlUEcircAtilde5frac12sup1raquo~ordm0Ccedilgsup1AacuteIcirciexclOgraveregcedilAuml|raquoLAacuteOumlcedilAumldOumlifrac14dordm|frac14EumlAacutesup1Aumldraquo13]nfrac14ampfrac12AtildeAcircnAtilde5frac12AEligwAtildeAacuteEgravefrac14Ouml~OumlcedilAumlnfrac14dAgrave4Icirc13aIuml xQ|||~pwld lnrRtcodampodsectgldrRrv p 9Pl| ~tu9ldP j ln4Utreg]vx4~rvu t not v i4v Iordf iquest uacute z yiuacute+r UIuml

aacuteUacutefrac14draquoAEligwAuml|Aringcedilsup1Riquestagrave0Iumlfrac14draquo~EcircdIumlb$Auml|raquocedil4frac14|EcircS] uacute_^J^J^ iquestlaquo`currenaacuteAumldAacutesup1AumldraquoAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo`Ccedilgsup1currenAacuteIcirceumlfrac12Atilde5AcircnAtildefrac120AEligwAtilde AacuteAElig_aIuml igraveraquo13]x4~rv p4PldrRtcoPl|=ov pwv P4vNtildeodUacutex4shyl not vsectEgravepwo4v tu not Iumlcb$AumldEacutePAtilde|iquestednfrac14dOuml~frac14draquoIuml

aacuteAuml|raquoLAacute4frac14dordmdraquoifrac14ZAacuteiquestdIumliquestziexcl0IumlTHORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquestdfrac14draquo~EcircoNtildeIumlZagravegfrac34Ufrac14dAgrave4Icirc~AtildeJ] dividedugrave|ugraveUuacute iquest` agraveOslashcedilAtildeAcircsup1AtildeCcedilaeligAumldOgravePEcircAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeAEligwAringcedilwOgraveufrac14dAgrave5AtildeAElig_]AacuteAuml|OumlPAuml|frac12Aumldordmdfrac34Liquestgordm|AtildeAuml|Igrave(AtildeAacutewcedilwfrac34frac14draquoiEcirc EcircAtildeOgraveuAumlcedilIgravefrac14Aacutesup1Auml|raquoSaIuml x4shyl not vtimesldiOacuteumltutcododshy~rRtreg not0Inot v uacute_qw iquestuacuteugravendivide+y~uacuteugravezq|ugrave Iuml

aacuteAring~IgraveOgraveregAumldcedil4Ecirciquest=THORNFIumlgfrac14raquoiEcircdIumlatildeIcirc~frac14dIcircS] uacute4^ ^ iquest`currenmiddotOumlAacutesup1Igravefrac14frac12$frac14dOumlOumlcedilAumlicircsup1Igravefrac14Aacutesup1Auml|raquoAEligEacuteLfrac34Oumlsup1AtildeAgrave5AtildeCcedilgsup1AEligwAtildetimesAEligwIgrave(AumlLAumlAacuteIcircOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligFfrac14raquoiEcircOslashfrac14dAEligwAEligwAumlLAgravesup1Yacutefrac14ZAacuteAtildeEcircaringAcirc|frac14Zcedilsup1Yacutefrac14ZAacutesup1Auml|raquoifrac14frac12EgraveOumlcedilAumldEacute~frac12Atilde5Igrave(AElig_aIuml odshyNtildeshyFU~tR4lrRtcod~oaeligsectEgraveUpvUacuteldiEgraveni tsvw j ldrreg~v shy(lrRtccurrenshyt iquest rzr4y xJ q Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfa

yenKbrvbarsect =4 acirc $ zmiddotAEligwIcirc~AtildecediliquestdatildePIumlfrac14draquo~EcircdIumlnatildeAtilde AacuteIcirc~sup1frac14draquoS] uacute4^ ziquest` eacutecedilAuml|raquoLAacuteAEligeOumlcedilAumldOumlifrac14ordmnfrac14Aacutesup1raquoordmCcedilgsup1currenAacuteIcircFAgrave5AringcedilAcirc|frac14ZAacuteAringcedilAtildeEumlEcircAtilde5OumlPAtilde5raquoiEcircAtilde5raquoLAacuteBAEligwOumlPAtildeAtildeEcircS]

agravefrac12ordm|Aumlcedilsup1AacuteIcircIgrave(AEligEacute~frac14dAEligwAtildeEcircaumlAuml|raquoiexclampfrac14Igrave(sup1frac12AacuteAumldraquoEumldnfrac14Agrave5Auml|Eacutesup1eacute~AumldcedilIgraveNtildeAring~frac12frac14Aacutesup1Auml|raquoSaIuml poundUodUp4Pl|oqiexcloshyiUrsldrRtcoPl|sect=U~tc ordfenot iquest uacutedivide4yEqE^ Iumlfefrac14cedil4frac14ordm|sup1Auml|AElig5iquestoNtildeIumlfrac14draquo~EcircIacuteszligyIuml]THORNampAtildecedilsup1Agrave4Icirc~AtildeJ] uacute4^z^J^ iquest`s[Atilde5AumlUEcircAtildeAEligwsup1Agravefrac14AgraveAacutesup1AcircnAtildeFcedilAtilde5ordmdsup1Auml|raquo~AElig$OgraveregAumldcedil0Igrave(AumldAacutesup1Auml|raquoTAtilde5AEligqAacutesup1Igravefrac14Aacutesup1Aumldraquofrac14draquoiEcircAacutewcedil4frac14dAgrave4UgraveUsup1raquoordmAaIumligraveiacuteraquoS] x4rv p ildrRtcodil|-ov pwv P4vFodOslashodshyiUrv paumlumltutco Iumleh=AumldcedilwOgraveregAringgt[cedilAtilde5Atilde5Agrave5Atilde|Iumlfefrac14AacuteAtilde5Aringicirc]iquestatilde]Iuml] dividedugravedugrave|ugrave iquestpound`currenatildeOuml~frac14Aacutesup1frac14dfrac12AEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoTAumldOgrave=Agrave5Auml|frac12Aumlcedilysup1Igravefrac14ordm|Atilde5AEligampfrac14dAgrave5Agrave5Aumlcedil4Ecircsup1raquo~ordmAacuteAumlUacuteaacuteTHORNaringOgraveregAumldcedilIgravefrac14dfrac12currenEumlsup1AEligwIgraveaIumlyigraveraquo13] x4~rv p4PlrRtcodPld=od5v pv i vodododpFtu pwl4UtcldPx4shyl not vysectpqo v tu not Iumlatildefrac14dsup1raquoLAacute UumleAacutesup1Atilderaquo~raquo~Atildediquestieacutecedil4frac14raquo~Agrave5AtildedIumlfcedilAtildeAgrave5sup1Auml|AEligwAumliquesteacute=IumlEgravefrac14raquoiEcirc aacuteIacuteIumlcurrenZEgravefrac14cedilfrac12frac14dAring~EcircS] dividedugrave|ugraveUuacute iquest` Z-EumliacuteatildeUOuml~frac12sup1raquo~Atildeaumlfrac14dAgrave Aacutesup1Acirc|AtildeOtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAEligOgraveregAumldcedilOgraveRfrac14AEligqAacuteAcircUsup1EcircAtilde5AumltimesAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIumlOacuteigraveraquo13] x4rv p ildrRtcodil|od5v pv P4vaeligod x4shy(l not vUacutesectpqo4v 4tu not IumlETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1Riquest[cedilAtilde5Atilde5Agrave5Atilde|Iuml

szligAumldraquoOgraveufrac14cedil4EcirciquestszligyIuml] uacute_^J^q iquest` szlig9Atilde5ordmdsup1AumldraquoEumlsEacuteifrac14AEligwAtildeEcircFAEligqAacutewcedil4frac14ZAacuteAtilde5ordm|sup1Atilde5AEligeOgraveuAumlcedil-frac14dAgraveAacutesup1AcircnAtildeEgraveAgraveAuml|raquoLAacuteAuml|AringcedilIgrave(AumlUEcircAtilde5frac12AElig_aIuml x4~rv p4PldrRtcoPl|poundUodUp il|WoqodshyiUrv paumlumltutco I v dividezw iquest divideddividez^+yUdivide uacute Iuml

atildefrac14Igrave(AEligwAuml|raquoiquestzhIumliquestzIumlzZ=frac12frac14raquo~AgraveEumleacuteAtildecedil4frac14AringiEcirciquestJ[NtildeIumldagraveAringEacutePAtildecedilwAacuteiquestfrac14draquo~Ecirc dIumlJregPAtildecedilAring~Eacutesup1frac14I] dividedugravedugrave|ugrave iquest` agrave frac12Atilde5Acirc|Atilde5frac12UAEligwAtildeAacuteIgrave(AumlUEcircAtilde5frac12nOgraveregAumldcedilsup1Igravefrac14ordm|AtildeAgrave5frac12frac14dAEligwAEligwsup1siAgravefrac14ZAacutesup1Auml|raquo13aIuml x4~rv p4PlrRtcodPldpoundUodUp4Pl|BoqNtildeodshyiUrv pOtildeumltreg4tRod shy v Ew iquest uacute r4y~uacute4^Er Iuml

atildefrac14raquo~ordmdCcedilgsup1raquoAtilde|iquest9atilde]IumlEgravefrac14draquo~Ecircszlig0IumlampiexclAumldcedilraquoAtilde v Atilde5EcircAElig5Iuml w ] uacute_^J^ Uiquest ~vIacuteo|odUpaumltushyl not vipqo4v 4tu not ldP|m4oo4uml Iumlh=Icircifrac14dOumlIgravefrac14draquodegmacriexclampfrac14dfrac12frac12RIumlatildeAtildeAacuteIcircsup1frac14draquoiquestdIumlplusmn] uacute4^z^|ugrave iquestU` oAringIgrave(Atildecedilsup1Agravefrac14dfrac12Ufrac14frac12ordm|Aumldcedilsup1currenAacuteIcircIgrave(AEligWOgraveuAumldcedilOumlcedilAuml|Oumlifrac14ordmnfrac14ZAacutesup1raquoordmsup1raquoLAacuteAtildecedilwOgraveRfrac14Agrave5Atilde5AElig_]Jiexclampfrac14dIgrave(sup1frac12currenAacuteAuml|raquoEumldnfrac14dAgrave5AumldEacute~sup1

AtildeecircLAringifrac14Aacutesup1Aumldraquo~AElig-frac14draquoiEcircAgraveAuml|raquo~AEligwAtilde cedilAcirc|frac14ZAacutesup1Aumldraquo(frac12frac14CcedilgAElig_aIuml poundUodUp4Pl|]oqEgraveyen$t lv pv rRtcl| voshyv rRp~ iquest uacute4Uuacutey~uacute x uacute IumlatildeAtildeAacuteIcircsup1frac14draquoiquestAdIuml] uacute4^J^ xiquest kWvndvB]v r j v rregod IumlcurrenhEgravefrac14dIgraveNtildeEacutecedilsup1EcircordmdAtilderaquosup1AcircPIumlAfecedilAtilde5AEligwAElig5Iumlatildesup1Ecirc~Ecircsup1ecircUsup1Riquest4bIumliquest_yenNtildeIumlBfrac14Aring~Ocirc5sup1Gsup2AtildecedilAtilde|iquestagraveyIumlETHWfrac14draquoraquo~Atilde5raquoUEacute~frac14dAring~IgraveUacuteiquest5frac14draquo~EcircNtildeatildePIumlregPAring~Agrave4UgravenAtildecedil4] uacute_^J^ xUiquestE`currenagravegcedilAtildefrac149frac14draquoiEcirc$frac12Atilde5raquoordmdAacuteIcircyIgrave(sup1raquoEuml

sup1Igrave(sup1Ocirc5sup1raquoordm sup3iAumlCcedilgAEliggOgraveuAumldcedilAEligwIcircifrac14OumlPAtildeyAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo13aIuml xQ|||~pwl~ lnrRtcodoOtildex4shyl not vsectEgravepwo4v tu notordf v Ew iquest qEz+yqzqE Iumlyen=AtildeOcirc5Ocirc5sup1RiquestagraveyIumliquest5agrave0Iuml5ETHEgraveAEligfrac14dsup1Riquestfrac14draquo~Ecirc$agrave0Iuml Ucirc sup1frac12frac12AEligwUgraveLfrac34] uacute4^z^J^ iquestJ` agraveaeligAEligqAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12Ufrac14dOumlOumlcedilAumlnfrac14Agrave IcircampAacuteAumlgAEligwraquo~frac14dUgravenAtilde5AElig]OgraveuAumlcedilWEacutesup1Igrave(AumlUEcircfrac14dfrac12frac14draquoiEcircAacutewcedilsup1Igrave(AumlUEcirc~frac14frac12isup1Igravefrac14dordmdAtildecedilwfrac34aIumligraveraquo13] x4rv p ildrRtcodil|eodv pwv P4vyodx4shyl not vgsectpqo v tu not IumlAb$AumldEacutePAtildednfrac14dOuml~frac14draquoIumlreg]IcircUAringiquest]atilde]Iumlfrac14raquoiEcircaumlagrave0Iumleyen=Aringsup1frac12frac12AtildeJ] uacute_^J^ xUiquestpound` szlig9Atilde5ordmdsup1AumldraquotimesAgrave5AumldIgrave(OumlPAtildeAacutesup1currenAacutesup1Auml|raquo13]iAring~raquo~sup1currenOgraveYacutefrac34sup1raquoordmiexclAEligwraquo~frac14dUgravenAtilde5AElig5iquestPcedilAtildeordm|sup1Auml|raquoTordmdcedilAumlCcedilgsup1raquo~ordmiquestfrac14draquoiEcircZEgravefrac145frac34LAtilde5AEligacute|aacuteTHORNOgraveregAumldcedilIgraveFAring~frac12currenAacutesup1Eacuteifrac14raquoiEcirc sup1Igravefrac14ordm|AtildeTAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo13aIuml xQ|||micro~pwld lnrRtcodtimesosect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4v Icent iquesteJ q+yU^dugrave|ugrave Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfo

i $amp)(+-)013021+345627893lt=gt9A6CBfrac12OcircacuteIshyNT

frac12OcircacuteIltNTpara frac12frac34EMeJaumlQcYZYZjJUacuteQsY H [ ^QEgraveJLhZJUO H QcN H J H MeJordfXiacute[]fcfR[WQcO[Oslash^e[]ZaringNPQsOXiacutejOb H QR[]ONPfdaringocirc|adOuml times jOcircaacute uuml times a2atildeltszligaumlgtszliglOuml times j atilde auml

G QsObnJ H MJeumlYZJ H [SXIacuteNPfcfUacute^e[]ZaringNPQsOYMNPY Oe[ H N Y H hjb H jhZJ`[SXUPJUb H [PhQcNPfOtildeYZKNPbnJSefRJ H jYZ N`PJ H MeJeumlhZJ[]QR[]OYJUP[]fVUPJ H MehZ[]j[]M NrXqNSZaringQcfVm [SX H hNPOYYX[PhlZ N H QR[]OYa(|aagraveszlig jj emiddot iacuteaumlYlZOslash[[ H MaNPO^ centQ ~JUb H QVUPJS^ not [PhNOslashKEgrave[]QcO H $ aacute atildeshyszligaumlN eFWFJTOe[ H JSaring$ aagravej|aacutemiddot|aagraveszlig $ j WiexclQ H M |a s szlig $ jaacute $OumlcopytimesaagravejOcircaacutemiddot|aagraveszliglOumlutimesdj WiexclQ H M |a s szliglOumlcopytimesAjOcircaacuteAumlOumlutimes9J H jY H MeJUO^JOeJ H MeJordfUPJUfR[WbLQ H moUPJUb H [PhdY JUfs^kfrac12 YZjbM H MN H aringfrac12sup1aagraveszlig $ aagravejj|aacute aelig |aelig agrave aagraveszlig $ j YlaquoXiacuteNiharingNPY H MeJ bn[]ZOslashKj H N H QR[]O[SX H MeJ ^eJLhQU~N H QVUPJ QcYOslashbn[]ObnJLhOeJU^OeWFJNihZJQcOWVH JLhZJUY H JU^ QcO YYZaringNPfcfOtilde^JX[PhlZ N H QR[]OY^ J H MBjYJkWKNPO^ H MeJ H hNPOYX[PhZaringN H QR[]ONPbLbn[Ph^QcO[ H [hdY H [Ph^eJLh NmWfR[PhyacuteXiacute[PhlZtimesjfcNaring|aagraveszlig $ jpoundaacuteAElig|a s szlig $ j agrave aelig |aelig agrave a s szlig $ jaacute $ ragrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacute frac14 frac14 a s szlig $ j^ J H MeJUOQcO H hZ[W^jbnJ H MehZJLJgZ NPQcO^eJOQ H QR[]OYaringf^QMeJg0jfRJLhQcNPO^eJLhQU~N H QVUPJOtilde[SXocirc|adOuml times jordfaqQcO H MeJIacute^QRhZJUb H QR[]O[SXcedilfrac12jaring ocirc|adOumlcopytimesszlig_frac12jOcircaacutefcQZUcedil iacute ocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave admacrfj ^QMeJgZaringN H JLhQsNPfg^eJLhQVUiN H QVUPJOtilde[SXuumlStimesYa $ szliglOumlcopytimes)jaringsup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j|aacutefcQZUcedil iacute uumlStimesa $ ragrave3frac12ba $ jszliglOumlutimes agrave3frac12sup1a $ jj uuml]timesa $ szliglOumlcopytimesdjagrave admacr j^QMeJaumlYZMNiKEgraveJOtilde^eJLhQU~N H QVUPJOtilde[SXOcircuuml]timesa $ szliglOumlutimes)jaring

uumlnotraquotimes a $ szliglOumlcopytimesUcircszlig_frac12 jaacutefcQZUcedil iacute uumlStimesYa $ szliglOumlutimesragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave admacrS]j

uumlnyacutenthornnyumll13YSordmY_Fordfy

yenKbrvbarsect =4 acirc $ hq centUWQR[]jYZfVmSe-centmaJkBKNPO^QcO[ admacr jUacuteNPbLbn[Ph^QcOF[ H [hdY H [Phd^eJLhordfNmBfR[PhordfXiacute[PhlZtimesjfcNeWFJaumlMNUPJSaring sup1uumlStimesYa $ szliglOumlcopytimesUcircszlig_frac12 jaacuteAumluumlnotraquotimes a $ szliglOumlcopytimesszlig_frac12jhuumlStimesa $ szliglOumlcopytimes)j frac12sup1a $ j admacrj J H MeJUOabn[]ZOslashK-j H JZOslash[PhJaumlKhZJUbLQcYZJUfVm H MJ0jfRJLhQcNPO ^eJLhdQVU~N H QUPJauml[SXcopyocirc|adOumlcopytimesdj^ JMNUPJSaringocircOcircadOumlutimesaagravejj ocircOcircadOumlutimes)jagrave aacute fagrave = thorn yuml uuml times a $ aagravejszliglOuml times aagravejj $ uuml times a $ szliglOuml times j $ FH admacrSmacr]j5O H MJohY H QcO H J[PhdNPfdeltWFJZaringN`PJ H MeJU~NihdQcNicentfRJ bMNPO[PJ $ aagravejaacute $ agrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacuteethicirc7a2atildeshyszligaumlFjszligicirc cent a2atildeltszligaumlj eWMQcbdM[]QVUPJUYaring thorn yuml uuml]timesYa $ aagravejszliglOumlcopytimesYaagravejj $ aacute admacrS]j

5 uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlutimes agrave3frac12sup1a $ jjlt^eJ H ocirc a $ jlt $WMJLhZJocirc a $ jQcY H MeJgXiacute[]fcfR[WQcO[aringSNPbn[PcentQcNPOtZaringN H hdQkKaring

ocirc a $ jaacute oacute fcedilxagrave frac14 iacute oslashfrac14Uordm agrave frac14 iacute oslashfrac14 ugraveagrave frac14 iacute acircfrac14ordm fcedil agrave frac14 iacute acircfrac14 ugrave ocircNPO^ YZ[eFWNtildeJIacuteMNUPJSaring

^eJ H ocirc a $ jOcircaacute fUragravee^QVUKafrac34frac12sup1a $ jjragrave cent ^eJ H amacr frac12sup1a $ jjMJUOWNtildeJauml[Pcent H NPQcOOaring

fsQZcedil iacute ^eJ H ocirc a $ j fagrave aacute ^QVUKafrac34frac12sup1a $ jj admacr]zSjMJJBjN H QR[]OxadmacrSmacr]j H MeJUOcent=JUbn[]ZaringJUYaringocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave aacute fagrave middot uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jjlt 13raquo ocirc a $ jlt $ uumlStimesa $ szliglOumlcopytimesAj $ admacrSi]j JTbLNPO`YZjeKKEgrave[]YJ H MN H ^eJ H aocirc a $ jjfrac14aacute sfrac12 agrave frac12 $ ^ JZaringNm H MeJUO H N`PJ^eJ H aocirc a $ jjfrac34 s eNPO^ WNtildeJ ^eJUPJUfR[PK H MeJaJkWKhZJUYYZQR[]OadmacrSi]j NPYoX[]fsfR[WQsO[centmNP^^QcO[aringN H JLhZ QcO H MeJIacuteYZJUbn[]O^aQcO H J[PhNPfltWMQcfcJaumlYZjeKKhJUYZYZQcO[ H MeJtimesYZNSZOslashJ H JLhlZQcO H MJordfhY H QcO H J[PhNPfdaring ocirc|adOumlcopytimesYaagravejj ocirc|adOumlcopytimes)jagrave aacuteegraveOtildef1rOtilde cent admacrSh]j

uumlnyacutenthornnyumll13YSordmY_Fordf

s $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJSaring

Otilde aacute uuml]timesa $ ragrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave ^eJ H aocirc a $ jj $ ad s jOtilde cent aacute uuml]timesa $ szliglOumlcopytimesdj ^eJ H aocirc a $ jj fagrave $ adfj

9J H jY_ZaringN`PJordmagrave H JUO^ H [WNih^Y s ^curreniquestYZQcO[frac34admacrjiexclNPO^JOQ H Qc[]OYadmacr e macrS]jeWFJ[PJ H aringfcQZUcedil iacute Otilde aacute sup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j $

aacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ uuml times a $ szliglOuml times j frac12sup1a $ j $fcQZUcedil iacute Otilde cent aacute uuml]timesa $ szliglOumlcopytimesdj^QVUKafrac34frac12 j $

O^ Y[Xiacute[Ph H MeJgNtildejfRJLhQsNPO ^eJLhQVUiN H QVUPJSeWFJgO^Oaring ocirc|adOuml times szlig_frac12jumlaacuteyacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ amacrreguumlStimesYa $ szliglOumlcopytimes)j frac12sup1a $ j7 uuml]timesYa $ szliglOumlcopytimes)j^QVUKafrac34frac12sup1a $ jjj $aacute uumlnotraquotimes a $ szliglOuml times szlig_frac12j $ ^QVUKaduuml times frac12j $ ad j

MeJUO NiKKfVmWQcO[ H MJ hJLJUOWVAQRJZ NPOO H MeJL[PhZJZQcO ad jeWNtildeJ5ONPfcfmtimes[Pcent H NPQcOOaring ocirc|adOumlcopytimesszlig_frac12jOcircaacute uuml raquotimes a $ szliglOumlcopytimesUcircszlig_frac12j $ uacutefrac14 5 uuml]timesYafrac34frac12 eacuteAgraveiquestsup1AacuteAtildeAcircj THORN adS]jWMJLhZJ5eacuteAgraveiquestsup1AacuteAtildeAcircyQcY H MeJUacutejOQ H QcOOgraveWNih^ Oe[PhlZaringNPf H [ aelig OumlcopytimesUcirc^MeJ_NtildejfRJLhQcNPO ^eJLhQVUiN H QVUPJQcY(O[ H JU^ ocirc raquo aagravej(QcO H MeJaumlKNiKEgraveJLhNPO^ H MeJaumlYZMNiKEgraveJauml^eJLhQU~N H QVUPJyuuml raquotimes QcY(Oe[ H JU^ frac14 frac14 ^iquest acutemicrosup1cedilFLft not [PhyYQZOslashKfcQsbLQ H mSeWNtildeJ(bM[[]YJ H MeJcopyXiacute[]fcfR[WQcO[_U~NihQsN H QR[]OaeligQcO H MeJKhZ[B[SXaring$ aagravejaacute $ agrave3frac12sup1a $ j^MJiexclKh[[SXZaringNm NPfcYZ[IacutecentEgraveJiexcl^JUPJUfR[PKEgraveJU^WiexclQ H MZaring[PhZJ_[PJUOJLhNPfUiNihQcN H QR[]OYFYjbM NPYaring $ aagravejaacuteAacuteAgravea $ szligYagravejWQ H MAcircAgrave`NOslashYYZOslash[B[ H MXiacutejOb H QR[]ONPO^AcircAgravea szligYagravejcentQ ~5JUb H QVUPJS^

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ ffrac12OcircacuteIshyNT AcircE J(MNUPJ H [Otildebn[]ZOslashK-j H J H MJNtilde^QEgraveJLhZJUO HH JLhZaringY9[SXQa macr]j9QsOauml[Ph^eJLh H [Uacute[Pcent H NPQcO H MeJ

JUP[]fcj H QR[]OJBjN H QR[]O[SX H MeJ NPb H QUPJ bn[]O H []jehX[Ph H MeJ ^JUYZbnhQRK H [PhdYaumlcentNPYJU^Oacute[]OH MeJ(bn[U~NihQsNPObnJ ZaringN H hQVktimes^eJ H JLhlZ QcONPO H a2Ograveh]j^OgraveMeJ(bn[]ZOslashKj H N H QR[]OaringQcYampKEgraveJLhYXiacute[PhlZOslashJU^Xiacute[Ph H MeJIacute^eJUYZbnhQRK H [Ph_uuml thorn timesOslash yuml ^ q centUWQR[]jYZfmSeN YZQZ QcfcNihbn[]ZOslashKj H N H QR[]OabLNPOacent=JIacute^e[]OeJXiacute[PhOcircuuml thorn UgraveUcircUacuteUuml yuml ^ JiexclbLNPOaeligJkBKhJUYZYOcircuuml thorn timesOslash yuml NPYyNUacutebn[]ZTcent-QcON H QR[]Oaelig[SXgtXiacutejOb H QR[]OYamp^eJLKEgraveJUO^QcOF[[]O H MJOtildehZJ[]QR[]OwOuml timesOslash aring

uumlgtthorn times Oslash yuml a2atildeltszligaumlgtszligYagravejaacute`Ograveoacute m thorn timesOslash yumlaIgraveagrave thorn timesOslash yumlAtilde j cent ocirc adjWMJLhZJordmaacuteAuml85eWiexclQ H MAring8 H MeJordfXqjOb H Qc[]O QcO H h[B^jbnJU^ QcOpounda2Ograveh]je-NPO^aringm thorn timesOslash yuml aacute agrave thorn timesOslash yuml agrave thorn timesOslash yumlcent agrave thorn timesOslash yuml agrave thorn timesOslash yumlAElig agrave thorn times Oslash yumlCcedil agrave thorn timesOslash yumlEgrave agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlEgrave j cent agrave thorn times Oslash yumlcent aIgraveagrave thorn timesOslash yumlCcedil j cent agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlAElig j centWQ H MOaring EFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFH

agrave thorn timesOslash yuml aacute w$ thorn yuml aOtilde S times Oslash j cent atilde aumlagrave thorn timesOslash yumlcent aacute w$ thorn yuml aOtildeOgravecent Scenttimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yuml aacute w$ thorn yuml aOtildeS Stimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yumlAElig aacute w$ thorn yuml aOtilde S times Oslash jaOtildeOgravecent ScenttimesOslash j atilde aumlagrave thorn timesOslash yumlCcedil aacute w$ thorn yuml aOtilde S times Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlEgrave aacute w$ thorn yuml aOtilde cent S centtimes Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlAtilde aacute w$ thorn yuml atilde auml O^ Y[ H MJordfXiacutejOb H QR[]OY aelig thorn timesOslash yumlauml MNUPJ H MeJgXiacute[]fcfR[WiexclQcO[aeligJkBKhZJUYZYZQR[]OYaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

aelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlcent aacute aOtilde cent S centtimesOslash j centaelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlAElig aacute aOtilde S timesOslash jaOtilde cent S centtimesOslash jaelig thorn times Oslash yumlCcedil aacute aOtilde S timesOslash jaOtilde S timesOslash jaelig thorn times Oslash yumlEgrave aacute aOtildeOgravecent ScenttimesOslash jaOtilde13 StimesOslash jaelig thorn times Oslash yumlAtilde aacutemiddotf

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBnot h[]Z H MeJUYJaumlJkWKhZJUYYZQR[]OYeWFJOtildeJUNPYZQcfm ^eJU^jbnJ H MN H aring

$ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde aumlregaacute sEacutefrac12poundEcirc iuml

J H MeJUO MNUPJ H [Tbn[]ZaringKj H J H MeJ H JLhlZaringY eacute thorn times Oslash yumlauml XiacutehZ[]Z H MeJJkWKhZJUYZYQR[]OYamp[SXagrave thorn timesOslash yumlauml eWMQcbM fRJUNP^Y H [aringEFFFFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFFFFH

eacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideoslash aacute w$ thorn yuml uacute ouml $ordfdivideacirc uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIgrave yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H a timesOslash jjeacute thorn timesOslash yumlcent aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideacirc

aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIcirc yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideEuml aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideacirc thorn thorn uacute ouml $_divideIuml yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yumlAElig aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIuml aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideEuml uacute ouml $ordfdivideIuml thorn uacute ouml $_divideIcirc uacute ouml $ordfdivideIgrave yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlCcedil aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIcirc aacute w$ thorn yuml cent thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideacirc uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlEgrave aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIgrave aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideoslash uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlAtilde aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIacute aacute w$ thorn yuml thorn +ETH ouml $_dividethorn uacute ouml $ordfdivideIacute yuml Iuml 8 raquo aq^J H a timesOslash jj

O^centmJkWKhZJUYZYZQsO[ H MeJbn[UiNihQcNPObnJZaringN H hQVkpoundWQ H M H MJregXqjOb H QR[]OYagrave thorn timesOslash yumlauml NPYXiacute[]fcfR[WQcO[aring

timesOslashlaquoaacute 1NtildeNtildeNtildeNtildeNtildeNtilde3uacute ouml $ordfdivideoslashuacute ouml $ordfdivideIacute uacute ouml $_divideIumluacute ouml $_divideIacute uacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIumluacute ouml $ordfdivideIacute uacute ouml $_divideacircuacute ouml $_divideIacute uacute ouml $ordfdivideIgraveuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacute uacute ouml $_divideIgraveuacute ouml $_divideIacute uacute ouml $ordfdivideEumluacute ouml $ordfdivideIacute

6OgraveOgraveOgraveOgraveOgraveOgrave7 J H MJUO^eJU^jbnJSaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

eacute thorn times Oslash yuml aacute a fj thorn yuml ^eJ H aDC Ptimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlcent aacute a fj thorn centcent yuml ^eJ H aDC centcenttimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yuml aacute a fj thorn curren yuml ^eJ H aDC 4times Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlAElig aacute a fj thorn cent yuml ^eJ H aDC centtimes Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlCcedil aacute a fj thorn curren yuml ^eJ H aDC times Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlEgrave aacute a fj thorn centcurren yuml ^eJ H aDCcent4times Oslash j48 raquo aq^eJ H a timesOslash jjeacute thorn times Oslash yumlAtilde aacute amp^eJ H a timesOslash j48 raquo aq^eJ H a timesOslash jj

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ SWMJLhZJC EBtimesOslash QcY H MeJgZaringN H hdQk ^eJU^jbnJU^Xh[]ZOacutetimesOslasharingcentm YZjeKKhZJUYZYZQcOF[ H MeJyuuml UumlON hZ[WNPO^ H MJ I UumlON bn[]fcjFZaringOO^]MeJbn[]ZOslashKj H N H Qc[]OordmX[Ph H MeJ^eJUYZbnhdQRK H [Ph|uuml thorn UgraveUcircUacuteUuml yuml QcYyYQZaringQcfcNihNPO^WFJ H MeJUOOslashMNUPJNPfcf H MeJ(JkWKhZJUYZYZQc[]OY H [aumlbn[]ZOslashKj H J H MeJJUP[]fcj H QR[]OaeligJjN H QR[]OXiacutehZ[]Z H MeJg[PJUOJLhNPfOXiacute[PhlZIacutejfcNta macr]j^gtMQcYcopy[]QVUPJUY H MeJTJUP[]fcj H QR[]O JBjN H QR[]Osup1admacr s j^

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBΩ out

Objects

Γ

inΩ

inΩ

Background Part

-t not Upv copy ETHEgraveIcircAtildeampAacuteiacuteCcedil=AumlFcedilAtilde5ordm|sup1Aumldraquo~AElig9AumldOgravefrac14raquoUacutesup1Igravefrac14dordm|Atilde

Ω

Ω out (τ)Ω

(τ)in

N

Γ(τ)

Ω

N

v

w

N

-t not Upv ETHEgraveIcircAtildeyEcircAumldIgravefrac14dsup1raquo~AEliggfrac14raquoiEcircAacuteIcircAtilde$AcircnAtilde5AgraveAacuteAumlcedilAEliggsup1raquoUAcircnAumldfrac12AcircnAtildeEcircsup1raquoiexclAacuteIcirc~Atilde$EcircAtildecedilsup1Acirc|frac14ZAacutesup1Aumldraquo

uumlnyacutenthornnyumll13YSordmY_F2ordf

yenKbrvbarsect =4 acirc $ Smacr

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 Atilde|IumligraveAacuteAtildecedil4frac14ZAacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvyzU eacuteWsup1ordm|AringcedilAtilde5AEligfrac14iquest Eacuteiquest AgraveJ]iUumlAcircnAumldfrac12AringAacutesup1Auml|raquoOtildeAumlOgraveeAacuteIcirc~Atildeyfrac14dAgrave Aacutesup1Acirc|Atilde0AgraveAuml|raquoLAacuteAuml|AringcedilIgravefrac14raquoifrac14ordm|AtildeEcircUacuteEacuteLfrac34AacuteIcirc~AtildefTHORN$Uuml v qzqwsup1raquo~Agrave5frac12AringiEcircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquoifrac14frac12ampAacuteAtildecedilIgrave(AElig5IumlgeacuteWsup1ordm|AringcedilAtilde5AEligOtildeEcirc]iquest Atildediquest Ograve] g sup1AEligwAringifrac14frac12sup1Ocirc5frac14Aacutesup1Auml|raquo`AumldOgrave0AacuteIcirc~AtildeTAgrave5AumldcedilwcedilAtilde5AEligwOumlPAumldraquoiEcircsup1raquoordmAcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 OgraveuAring~raquoAgraveAacutesup1Auml|raquosup1raquo~Agrave5frac12Aring~Ecircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquo~frac14dfrac12ampAacuteAtildecedilIgrave(AEligraquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirc EacutePAtildeAacuteiacuteCcedil=Atilde5Atilde5raquo ugrave frac14draquoiEcirc divide JUiquestAEligwAring~Agrave4IcircTAacuteIcirc~frac14Aacute$AacuteIcircAtilderaquo~Atilde5ordm|frac14Aacutesup1AcircnAtildeAcircdfrac14dfrac12AringAtilde5AElig0frac14cedilAtildefrac12AumlCcedilEgraveAtildecedilyAacuteIcirc~frac14draquo uacutedivide Uacutefrac14raquoiEcircaumlAacuteIcirc~AtildeOumlPAumldAEligwsup1Aacutesup1AcircnAtilde(Aumldraquo~Atilde5AEligyfrac14ZcedilAtilde(Icirc~sup1ordm|IcircAtildecedilAacuteIcircifrac14raquo uacuteZdivide Iuml

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

Ecirc]Iumligraveraquo~sup1currenAacutesup1frac14dfrac12BAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 Atilde|IumligraveAacuteAtilde cedil4frac14Aacutesup1Auml|raquo ugravedugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not Upv ucirc eacuteWsup1ordmdAringcedilAtilde5AEligtimesfrac14iquest Eacuteiquest AgraveJ]ampUumlAcirc|Auml|frac12AringAacutesup1Auml|raquoAumlOgrave(AacuteIcirc~Atildearingfrac14AgraveAacutesup1AcircnAtildeOslashAgrave5Auml|raquoLAacuteAumldAringcedilIacuteIgravefrac14draquoifrac14ordm|AtildeEcirc`EacuteUfrac34AacuteIcircAtildeOcircfTHORN$Uumlv q w iquestiexclCcedilgsup1currenAacuteIcirc~AumldAringAacuteAacuteIcirc~Atildefrac14dEcirc~Ecircsup1Aacutesup1Aumldraquoifrac14dfrac12TAacuteAtildecedilIgrave(AElig5IumliexcleacuteWsup1ordm|AringcedilAtildeAElig Ecirc]iquest Atildediquest Ograve] g sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo AumlOgraveaeligAacuteIcirc~AtildeAgraveAumldcedilwcedilAtildeEumlAEligwOumlPAuml|raquo~Ecircsup1raquo~ordm AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 OgraveregAring~raquo~Agrave Aacutesup1AumldraquoeumlCcedilgsup1currenAacuteIcirc~Auml|AringAacuteIacuteAacuteIcircAtilde frac14|Ecirc~Ecircsup1currenAacutesup1Aumldraquoifrac14frac12FAacuteAtildecedilIgrave(AElig v raquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirceumlAEligwAring~Agrave4Icirc AacuteIcirc~frac14AacuteIgravefrac14icirc vOOtilde wpOumldivide z w Iuml

uumlnyacutenthornnyumll13YSordmY_F2

S $amp)(+-)013021+345627893lt=gt9A6CB

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIumligravesAacuteAtildecedil4frac14Aacutesup1Aumldraquogt ugrave|ugrave AgravedIumlieacuteWsup1raquoifrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12Acirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 AtildedIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIumlieacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvtimesLg sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo(AumldOgravePAacuteIcirc~AtildeAtildeAcircnAuml|frac12AringAacutesup1AumldraquoAumldOgravePAacuteIcircAtildeEgraveAgrave5Auml|raquoLAacuteAumldAringcedil-frac14draquo~EcircNtildeAacuteIcirc~AtildeEgraveAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 v Ccedilgsup1AacuteIcircAuml|AringAacuteAacuteIcircAtildeEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircFAacuteAtilde cedilIgrave w OgraveregAumldcedilEgraveAacuteIcircAtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoAumlOgraveAacuteIcircAtilde9Ograveufrac14dAgrave5AtildeAring~AEligwsup1raquo~ordmyAacuteIcirc~Atilde9Agrave5AumlZAcirc|frac14Zcedilsup1frac14draquo~AgraveAtildeIgravefrac14Aacutewcedilsup1currenicirc]Iuml

frac14Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcircnAtilde EacuteIumligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 v AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde w Agrave|Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacutefrac34 v Acircdfrac14cedilsup1frac14draquoAgrave5Atilde w-t not Upv h=AumldIgrave(Oumlifrac14cedilsup1AEligwAumldraquoOtildeAumldOgraveAacuteIcirc~Atilde$sup1raquo~sup1currenAacutesup1frac14dfrac12eAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34iexclAgrave5Auml|Igrave(OumlAringAacuteAtildeEcircAringAEligwsup1raquo~ordmAacuteIcirc~Atilde$AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde0Igravefrac14Aacutewcedilsup1currenicircv iordmdAringcedilAtildeFEacute w AacuteAumliexclAacuteIcircAtildeAuml|raquoAtildeFAgrave5AumldIgrave(Ouml~AringAacuteAtildeEcircTAringAEligwsup1raquo~ordmiexclAacuteIcircAtildeFAcircdfrac14cedilsup1frac14draquoAgrave5Atilde v ~ordm|AringcedilAtildeFAgrave w OgraveregcedilAumldIgrave AacuteIcirc~AtildeNtildeAEligfrac14dIgrave(Atildesup1raquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcirc|Atilde v iordmdAringcedilAtilde$frac14 w Iuml

uumlnyacutenthornnyumll13YSordmY_F2_a

yenKbrvbarsect =4 acirc $ ]z

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv Oslash| THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5AtildeccediliacuteAtildecedilsup1UgraveUegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_o

Si $amp)(+-)013021+345627893lt=gt9A6CB

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv ordf THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5Atildeccedilqfrac14dUgraveUsup1currenfrac34LAumldegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_y

RR-0114-SJEHANpdf
  • wwwi3sunicefr
    • httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf
Page 34: LABORATOIRE INFORMATIQUE, SIGNAUX ET SYSTEMES DE …mh/RR/2001/liste-2001.pdf · 2002. 6. 27. · [Dir01] DIRAT L. “Outils pour des Mathématiques Interactives et Distribuées”

$amp)(+-)013021+345627893lt=gt9A6CB5Oaring[Phd^eJLh H [aeligYJ[]ZOslashJUO H NPO Me[]ZOslash[S[PJUOJL[]jY0hJ[]QR[]OOeOgraveWFJiexclY H Nih H WQ H M NPO QcOQ H QcNPf

bLjehlUPJ0QcOYZQs^eJ H MJ0hZJ[]QR[]Oauml[SXWQsO H JLhZJUY H ^MeJybLjhYUPJ0QcY H MJUOTYZjeKK=[]YZJU^ H [JkWKNPO^jO H Qcf(Q H hJUNPbMeJUY H MeJ centEgrave[]jO^NihlmOacute[SX H MeJabn[]ObnJLhdOeJU^ Me[]Zaring[S[PJUOeJL[]jYaringhJ[]QR[]OO^MJtimesbLjehlUPJtimes^e[BJUYUacuteOe[ H [P[cent=JmP[]O^ H MJUYJaeligcent=[]jO^NihQRJUYiexclYZQcObnJSe=[UPJLh H MeJLhZJSe H MeJbnhQ H JLhQR[]OOacuteQsObnhZJUNPYJUYtimescentEgraveJUbLNPjYJ H MeJU~NihdQcNPObnJOcircu centtimesOslash [Ph H MeJ bn[U~NihdQcNPObnJtZaringN H hQVk^eJ H JLhZaringQcONPO H ^eJ H atimesOslashjUcirccentOtildeQsObnhZJUNPYJS^MeJaringNPfV[P[PhQ H MZEcentNPYJU^[]O H MeJ bn[UiNihQcNPObnJZaringN H hQVkeumlQcYaumlK=JLhlX[PhlZaringJU^euml[]ONPOQZ N[PJ [SX H MeJUBQs^eJL[`YJBjeJUObnJrnN`WQVmP[]peumlQcO[Ph^JLh H [euml^eJ H JUb HaeligH MeJYKEgraveJUN`PJLhUTYXqNPbnJS^gtMJaumlJUP[]fcj H QR[]O[SX H MJIacutebLjehYUPJIacuteQcYu[]QVUPJUO QcO not QV[^ macr^gtMeJTbn[]O H []jehiexclJUP[]fUPJUYH [ONPfcfVmbn[]OUPJLhY[PJaelig[]O H MeJIacutecent=[]jO^NihQRJUY[SX H MJyXqNPbnJa not QV[^ macr^bj^OMeJyXiacuteNPbnJaeligQcYH MeJUONPbLbLjehdN H JUfVm YZJ[]ZOslashJUO H JU^^FMeJUacuteNSZOslashKfcQ H j^eJ[SX H MeJiexclUPJUfR[BbLQ H m QsYFNPfsY[laquo[]QVUPJUOQcO not QV[aqYj^ macr^ ^OecurrenJSe Xfrac34jNPO^WNtildeJUacutebLNPO [PcentYJLhYUPJ H MN HFH MeJ5XiacuteNPbnJUacutehZJ[]QR[]O QcYUPJLhYmWFJUfcf^eJUfsQZaringQ H JU^regXhZ[]Z H MJ[ H MJLhhZJ[]QR[]OY^MJ5UPJUfc[BbLQ H m[]QUPJUO QcO not QV[aqYj^ macr^ ^OecurrenJSe XQcObLfcj^eJUY H MeJNP^^Q H Qc[]ONPf H JLhlZaringYFbn[]ZaringQcOF[yXiacutehZ[]Z H MeJ5UiNihQcN H QR[]O [SX H MeJiexcl^eJUYbnhQRKeVH [PhY5WQ H Magrave`centj H ^e[BJUYOtildeOe[ H QcObLfcj^eJ H MeJaeligcentEgrave[]jO^NihlmVcentNPYZJU^ H JLhlZ WMQcbMeumlQcYUacuteNYYZaring[[ H MQsO[ H JLhlZ^KMeJtimesNSZOslashKfcQ H j^eJOtilde[SX H MeJyUPJUfc[BbLQ H maQcYiexclOe[PhlZaringNPfcQcurrenLJU^ centEgraveJ H WFJLJUOs NPO^ macrSmacre$YZjbdM H MN HTH MeJ OeJ[]N H QVUPJoU~NPfcjJUYIacuteNihZJ fR[WFJLh H MNPO f i`NPO^ H MeJKEgrave[]YZQ H QUPJ[]OJUYNihZJTMQ[]MeJLh H MNPOpoundf i^ J bLNPObn[]ZaringKNihZJ H MJ QcOQ H QsNPfUPJUfR[BbLQ H m[Pcent H NPQcOJU^jYZQcOF[ H MeJ bn[U~NihQsNPObnJZaringN H hdQk admacr s juWQ H M H MeJOtilde[]OeJOtilde[Pcent H NPQcOeJU^jYQcO[ H MeJordfUiNihQcNPObnJrega2Sj^KMeJordfXqNPbnJTQcYOe[ H WNtildeJUfsf9^eJ H JUb H JU^QcO H MeJUPJUfR[BbLQ H m[Pcent H NPQsOeJU^ajYQcO[ H MeJUiNihQcNPObnJa not Q[^ ^bjWMJLhZJUNPYIacuteQ H QcYIacutehZJUNPfcfmumlWNtildeJUfcfF^eJ H JUb H JU^QsO H MeJQcOQ H QcNPfUPJUfR[WbLQ H m7jYZQcOF[ H MeJbn[iVUiNihQcNPObnJpoundZ N H hQk a not QV[^ ^currencentj^_MeJ UPJUfR[WbLQ H m [Pcent H NPQcOeJU^ jYZQsO[ H MeJumlU~NihdQcNPObnJ^e[BJUYOe[ H NPfsfR[W NPOJltz bLQRJUO H YJ[]ZOslashJUO H N H QR[]O`[SX H MeJyXiacuteNPbnJauml[]O H MeJaumlbn[]O H hNihYm H [H MeJIacutebn[UiNihQcNPObnJlaquoZaringN H hQk^eJ H JLhZaringQcONPO H WMQsbM H N`PJUYUacuteNP^UiNPO H N[PJaelig[SX H MeJtimesbn[]fR[PhQcOFX[PhlZ N H QR[]OO^macr^ ^WVFEumlETH=gtNtildeFETH32EacuteltOacuterETHEacute`0Ntilde=KIgravek8ltIgraveFETHIgrave5=KETH32EacuteltOacute~2Oacute+(8ltIgraveEacute IcircIgrave5euml1IgraveFOacute=KIgraveIcircMJa^eJUYZbnhQcK H [PhYOslashcentNPYZJU^[]O H MJ`bn[UiNihQcNPObnJZaringN H hdQkNihJ`QZOslashK-fRJZOslashJUO H JU^ H [^eJ H JUb H MBjFZaringNPO XqNPbnJUYQcO UWQc^eJL[OacuteYJBjeJUObnJUY^MQsYaring^eJ H JUb H QR[]OegraveZaringNm cent=J`jYJU^Xiacute[PhtUWQc^eJL[ bn[B^QcO[ H [JUObn[W^eJYJUfcJUb H QVUPJUfVm H MeJOacuteMBjFZaringNPOegraveXqNPbnJS^ not [Ph`N []QVUPJUObn[]ZOslashKhZJUYZYZQR[]OOacutehN H QR[e H MeJoXiacuteNPbnJbLNPO7cent=J H hNPOYYZ Q HH JU^bWiexclQ H MN MQV[]MJLhThN H J H [H MeJ^eJ H hdQZOslashJUO H [SX H MeJcentNPbl`[Ph[]jO^O^uMQsY QsO H JLhZJUY H QcO[KhZ[PKEgraveJLh H m QcYUiNPfcjWVNicentfcJuX[PhUBQc^JL[Bbn[]OXiacuteJLhZJUObnJUYe]WMeJLhZJ H MeJ ZOslash[]Y H QZOslashKEgrave[Ph H NPO H NPO^regZOslash[]Y H U~NihdQcNicentfRJQcOFX[PhlZ N H QR[]OQcYfR[WbLN H JU^ []O H MJordfXiacuteNPbnJaq 5ZOslash[]Oe[]j`NPO^tUacutejMNSZaringJUfde sSsSs j^ J QcOQ H QcNPfcQVcurrenLJ H MJhdY H XiacutehNSZOslashJoWQ H M7N`bLQchbLfRJ QsOYZQc^eJ H MeJXqNPbnJ H [ H hNPbY`K^MJUOOeyacuteWFJsup1ZaringN`PJ H MeJNPb H QVUPJ7bn[]O H []jeheumlJUP[]fVUPJjYZQcOF[admacr s jeiexclWQ H MX8ordfaOgravejxaacuteILK KafUgravemiddot cent j^ltMeJregONPfybn[]O H []jehtimes[SX H MeJ bLjehZhJUO H QZaringN[PJ QcY H MeJUOOacutebdMe[]YJUO7NPYNPO QcOQ H QcNPfbLjhYUPJordfX[Ph H MJUacuteOJk H QZaringN[PJS^FMeJOtildeNPfV[P[PhQ H MFZMNPYcentEgraveJLJUOKEgraveJLhYXiacute[PhlZOslashJU^[]OYJUPJLhdNPf$YJjJUObnJUY^MeJaelighZJUYjf H Y5X[Ph H MJaeligYZJjeJUObnJpoundn5JLhQV`p NihJordm[]QVUPJUOQcOnot QV[^ethz^shyMeJaringKNihNSZaringJ H hZJ bMNPYaumlcentEgraveJLJUOYZJ HaumlH [sup1f s ^QMeJordmXqNPbnJ QcYordfWFJUfcfy^J H JUb H JU^NPO^ H hNPbY`PJU^times[]O H MJ|WMe[]fcJyYJjJUObnJS^MJyhZJUYZjf H YOX[Ph H MeJNtildeYZJjeJUObnJnN`WQVmP[]p

uumlnyacutenthornnyumll13YSordmY_F

yenKbrvbarsect =4 acirc $ macrNihZJy[]QVUPJUO`QsO not QV[^ i^ JaeligbMe[B[]YJbaacute s ^ JtimesbLNPO`YJLJ H MN HH MeJXiacuteNPbnJaeligQcYuWFJUfcf^eJ H JUb H JU^aJUPJUOaQVX H MeJaumlbn[]fR[Phiexcl[SXMJLhYZMQRh H QsY(bLfR[]YJ H [ H MJgXiacuteNPbnJIacutebn[]fR[Ph^

YOEAEligMgtIltROgravesup3PshyAtildeT13MKI5O H MQcYKNiKEgraveJLheuWNtildeJKhZ[PKEgrave[]YJN OeJW 0jfRJLhQcNPOAumlZaringQsOQZaringQVcurrenUN H Qc[]OAumlZOslashJ H Me[W^ H [bn[]ZOslashK-j H J H MJUPJUfR[WbLQ H mpoundUPJUb H [Pharing[SXNPONPb H QVUPJ bn[]O H []jeh H MN H JUOYZjehZJUYtimesQ H WQcfcfJUP[]fVUPJ NPYordfXiacuteNPY H NPYOtildeKEgrave[]YZYZQRcentfcJ H [WNih^YIacuteNZaringQcOQCZIacutejFZ [SXN bnhQ H JLhQR[]OeumlQcObLfcj^QcOF[centEgrave[ H MUacutehZJ[]QR[]OeVcentNPYJU^TNPO^OtildecentEgrave[]jO^NihYmVcentNPYJU^ H JLhlZ Y^ q jehgNiKKhZ[]NPbMIacuteQcYcentNPYZJU^Otilde[]OYZMNiK=J[PK H QZaringQVcurrenUN H Qc[]OOslashKhQcObLQRKfRJUY$NPO^ QcYyKEgraveJLhYXiacute[PhlZOslashJU^ QcO H MehZJLJ5ZaringNPQcO Y H JLKYaringf^ltO H hZ[W^jb H QR[]O[SX$NOslash^mWONSZaringQcbLNPfYbMeJZOslashJIacuteQcO H MeJTbnhQ H JLhQR[]OOe ^vF[]ZOslashKj H N H Qc[]Oaelig[SX H MeJ_0jfRJLhdQcNPOaelig^eJLhQVUiN H QVUPJ[SX H MJbnhQ H JLhQR[]OOslashjYZQcO[OtildeYZMNiKEgraveJ

[PK H QZaringQVcurrenUN H Qc[]O H [[]fcYe^vF[]ZOslashKj H N H Qc[]Oa[SX H MeJtimesJUP[]fcj H Qc[]OaJBjN H QR[]O`[SX H MeJaeligNPb H QVUPJtimesbn[]O H []jehiexclXiacutehZ[]ZH MeJT^eJLhQU~N H QVUPJS^

iexcl Ntilde _ cent G NPfcfR[WY H [hJUNP^QcfVm H N`PJNtildeQcO H [NPbLbn[]jO H9H MeJybLNPYJ0[SXBhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H^eJUYbnhQRK H [PhY H MN H NihZJo[]fR[PcentNPfcfVmN HH NPbdMeJU^ H [ H MeJ JUP[]fVUWQcO[ hZJ[]QR[]OYtimesNPO^Y[H MN H UiNihYm^jehQsO[ H MJaumlKhZ[PKN[]N H Qc[]O [SX H MJaumlbLjehYUPJS^ JTYMe[W H MN HH MeJgUiNihQuVN H QR[]O [SX H MeJUYJ^JUYZbnhQRK H [PhdY QsO^jbnJUYNP^^Q H QR[]ONPf H JLhlZaringYQcO H MeJeumlJUP[]fcj H QR[]OJBjN H QR[]Oeuml[SX H MeJaringNPb H QVUPJ bn[]O H []jeh^MJUYJ H JLhlZaringYgZtimesjY H Oe[ H centEgraveJlaquoX[Phl[P[ HH JUOQcO[Ph^JLh H [ hZJUNPbMeumlN H hjeJZ QcOQZtimesjFZ[SX H MeJtimesbnhQ H JLhQc[]OaNPYUacuteQ H MNPYcentEgraveJLJUOKEgrave[]QcO H JU^[]j H QsOJkBKEgraveJLhQZaringJUO H NPfEgravehZJUYjf H Y^

Yfrac34XiacuteNiheumlNPYeumlMe[]ZOslash[S[PJUOeJL[]jYeumlbn[]fR[PheumlhZJ[]Qc[]OY`YZJ[]ZOslashJUO H N H Qc[]OQsY`bn[]ObnJLhdOeJU^OeWFJKhZ[PKEgrave[]YJ H MeJ`bn[U~NihQsNPObnJfrac34ZaringN H hdQk^eJ H JLhlZaringQcONPO H NPY N^eJUYbnhQRK H [Ph^MQcYY H N H QsY H QcbLNPfhZJ[]QR[]OeV4^eJLKEgraveJUO^eJUO H ^JUYZbnhQRK H [PharingNiKK=JUNihdY H [centEgraveJN UPJLhlm7hJUfRJU~NPO HH [B[]fampNPO^eumlY[ Q H MNPYUacutecent=JLJUOeumlYZjbLbnJUYZYXqjfcfVm NiKKfsQRJU^ H [XqNPbnJaring^eJ H JUb H QR[]OQcOfrac34UWQc^eJL[YJBjeJUObnJUY^

iquest acuteraquoacuteLacuteIltR]acuteAtildeagraveIgravefrac14dEcircsup1Atilde5AringiquestLmiddotNtildeIumliquestUumlgIumlUTHORNampAtildeEacutecedilAtilde5AringAcircnAtilde|iquestaacuteIacuteIumlIZEgravefrac14Zcedilfrac12frac14dAringiEcirc]iquestfrac14draquoiEcirc[NtildeIumlagraveAringEacutePAtildecedilwAacute4] uacute_^J^J^ iquest)` igraveraquoLCcedilfrac14cedil4Ecircfrac14draquo~Ecirc(Auml|AringAacuteCcedilfrac14Zcedil4Ecirc

Agrave5AringcedilAcircnAtilde$AtildeAcircnAuml|frac12AringAacutesup1AumldraquoTAringAEligwsup1raquo~ordm(frac12Atilde5AcircnAtilde5frac12AEligwAtildeAacuteampIgrave(Atilde AacuteIcirc~AumlUEcircSaIumligraveraquo13] x4~rv p4PldrRtcoPl|Egraveod5v pv i4vodaumlx4shyl not vsectpqo v tu not Iumlcb$Auml|EacutePAtilde|iquestednfrac14Oumlifrac14draquoIuml

agraveIgrave(Aumldraquo~Auml|Aringiquest~igrave4IumlPfrac14raquoiEcircfWIumliTHORNampAringIcircifrac14Igrave(Atilde5frac12G] divideugrave|ugrave|ugrave iquest` igraveAacuteAtildecedil4frac14ZAacutesup1Acirc|AtildeNtildeEacute~frac14dAgrave4UgraveUCcedilEgravefrac14cedil4EcircUacuteAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoUacuteOgraveregAumldcedilIcirc~sup1Atildecedil4frac14cedilAgrave4Icirc~sup1currenEumlAgravefrac14dfrac12=CcedilEgravefrac14AcircnAtilde5frac12AtildeAacutesup1Igravefrac14ordm|AtildeAgrave5AumlUEcircsup1raquo~ordmIaIumlaeligigraveiacuteraquoS] x4rv p ildrRtcodil|ampod5v pv P4vOtildeodOslashx4shy(l not vFsectpqo v tu not Iumlg frac14raquo~Agrave5AumldAring~AcircnAtildecediliquestehEgravefrac14raquoifrac14|Ecircfrac14Iuml

agraveAringEacutePAtildecedilwAacuteiquest[NtildeIumlWfrac14raquoiEcircifWIuml13b$Aumldcedilraquo~OumlcedilAuml|EacuteAEligqAacute4] divideugrave|ugraveuacute iquestkj ldrregv shy(ldrRtcl|ipwonm5v shyNtildetuOslashtushyl not vampipwo4v tu not sect9ldp4rRtcl|Egravedt lv pv ~rRtRl|9vDm~lrRtcod~ldiTrreg~vUacutel| Uiexcloqnldp4tcldrRtRod~ iquestpoAumlIuml uacute_qEr IumlOslashagrave9Ouml~Oumlfrac12sup1AtildeEcircaacuteUacutefrac14AacuteIcirc~AtildeIgravefrac14Aacutesup1Agravefrac14dfrac12BatildeAgravesup1Atilderaquo~Agrave5Atilde5AElig5iquestPatildeOumlcedilsup1raquoordm|Atildecedil g Atildecedilfrac12frac14dordmIumlhEgravefrac14dAEligwAtilde5frac12frac12Atilde5AElig5iquest g Iumliquest~szlig0Iumleb$sup1Igrave(Igrave(Atilde5frac12Riquestifrac14raquoiEcirc[NtildeIumlatildefrac14dOumlsup1cedilAumlI] uacute_^J^Er iquest`s[Atilde5AumlUEcircAtilde5AEligwsup1AgraveFfrac14dAgraveAacutesup1AcircnAtildeyAgrave5AumldraquoUAacuteAumldAringcedilAElig_aIuml x4~rv p4PldrRtcodPldpoundUodUp4Pl|WoqodshyiUrv paumlumltutcodutet13v uacute+w iquestex uacuteyIrz^ Iuml

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CBh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34LiquestBagraveyIumlWfrac14raquoiEcircidIumlBTHORNampAringraquo~Agravefrac14raquo13] uacute4^z^J^ iquest`[ampfrac14Igrave(AtildeEumlcAacuteIcirc~Atilde5AumlcedilAtildeAacutesup1Agrave(sup1raquoUAacuteAtildeordmdcedil4frac14Aacutesup1AumldraquoaeligOgraveuAumldcedil0sup1Igravefrac14dordmdAtildeAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIuml xQ|||~pwl~ lnrRtcodNtildeodiexclsect9lrRrv p auml9Pl| ~tuyldi j l|4Utu]vx4~rvreg t not v P4v Iumlh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34Liquestgagrave0IumliquestIumlgatildeUAacute4frac14dsup1Eacuteiquest9frac14draquoiEcircdIuml9THORNampAringraquo~Agravefrac14raquo13] uacute_^J^ xiquest` THORNampAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeIacuteEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34iraquo~Ecircsup1raquo~ordmsup1raquoIgrave(AtildeEcircsup1Agravefrac14frac12iexclsup1Igravefrac14ordm|Atilde5AEligaringEacuteLfrac34Oacutesup1raquoLAacuteAtilde5ordmcedil4frac14Aacutesup1raquo~ordm ordmdcedil4frac14|Ecircsup1Atilde5raquoLAacute frac14raquoiEcirccedilAtilde5ordm|sup1Auml|raquo sup1raquoOgraveuAumldcedilIgravefrac14ZAacutesup1Auml|raquo13aIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu notI iquesteE ^4y rdugrave Iumlh=Icircifrac14raquoiquestBETHIumlWfrac14raquoiEcircIuml g Atilde5AEligwAtildeJ] dividedugravedugraveuacute iquest` agraveAgraveAacutesup1AcircnAtildeFAgrave5Auml|raquoLAacuteAuml|AringcedilAElig$Ccedilgsup1AacuteIcircAuml|AringAacuteNtildeAtilde5Ecircordm|AtildeAElig_aIuml xQ||k|~pwld lnrRtcododUacutex4shy(l not v9sectpqo4v 4tu notuU v divideJw iquest divide xJx ydividezrJr Iumlh=Icirc~Atilde5AEligwraquo~frac14dAring~EcirciquesthIumliquestfWIuml=szligAtildeOgraveYacutecedilIAtilde5ordm|sup1Atildecediliquestfrac14draquoiEcirc g Iuml5Z=AumldAring~frac12AtildeAacute4] uacute_^J^z^ iquest`currenatildeUAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12cedilAtilde5ordmdsup1AumldraquoAEligwraquoifrac14dUgrave|AtildeEumlsEacuteifrac14dAEligwAtilde5EcircAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquofrac14|Ecircfrac14dOumlAacuteAtilde5EcircFAacuteAumlyEcircsup1s]AtildecedilAtilde5raquoLAacute-Ouml~IcircLfrac34AEligwsup1Agrave5frac14dfrac12~raquoAuml|sup1AEligwAtilde9Igrave(AumlUEcircAtilde5frac12AElig_aIuml xQ||k|~pqld~ lnrRtco~$osect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4vt iquest uacute|uacute_q y~uacute|uacute xIumlh=Auml|IcircAtilde5raquoiquestIuml] uacute4^z^uacute iquest`currenmiddotraquofrac14dAgrave Aacutesup1Acirc|Atilde Agrave5AumldraquoLAacuteAuml|AringcedilIacuteIgrave(AumlUEcircAtildefrac12AEligtimesfrac14draquo~EcirceumlEacuteifrac14dfrac12frac12AumlLAuml|raquoAElig_aIuml odshyiUrv pumltutcod pwl Utc0ldix4shyl not vsectEgravepwo4v tu not x4shyl not vOtildePnv p rsldidtu not) iquest divideUuacuteduacuteydivideLuacute UIumlh=Auml|IcircAtilde5raquoiquestSIumliquestUumlIuml13ZEgravefrac14cedil4Ecircsup1raquo~AtildeAacuteiquestfrac14raquoiEcircoNtildeIumlagrave9frac34Lfrac14dAgrave4Icirc~AtildeJ] uacute_^J^z iquest`atildeUAringcedilwOgraveufrac14dAgrave5Atilde0cedilAtilde5Agrave5Auml|raquoAEligqAacutewcedilAring~AgraveAacutesup1AumldraquotimesAring~AEligwsup1raquoordmfrac14AgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilaumlIgrave(AumlUEcircAtilde5frac12AElig_aIuml igraveiacuteraquoS] Lsect=xQ|od5v pv P4v od vwodshy(v rRp tc j v rregodtimestuodshyiUrv pumltutco Iuml~atildefrac14raquoUacuteTHORNampsup1Atilde5ordm|AumliquesthEgraveagraveyIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquestEgraveUumlIuml] dividedugrave|ugravedugrave iquest`currenatildeAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquo Ouml~frac14cedilAgrave5Auml|raquoLAacuteAuml|AringcedilAEligUacutefrac14AgraveAacutesup1currenOgraveuAEligUacuteAtilde5raquosup1Igravefrac14dordmdAtildecedilsup1AtildeIacuteIgraveAtilde5Ecircsup1Agravefrac14dfrac12AtildeIacuteEcircfrac34UEumlraquoifrac14dIgrave(sup1ecircLAring~Atilde]ampfrac14Ouml~Ouml~frac12sup1Agravefrac14ZAacutesup1AumldraquoAtilde5raquoeumlAgravefrac14Zcedil4Ecircsup1Auml|frac12Auml|ordmdsup1Atilde raquoUAring~Agravefrac12Atilde5frac14dsup1currencedilAtildeJaIumlfIcircIuml THORNFIumlAacuteIcirc~Atilde5AEligwsup1AElig5iquestraquo~sup1AcircnAtildecedilAEligwsup1currenAacutefrac34`AumlOgraveosup1Agrave5AtildeEumliacuteatildeAumldOuml~Icircsup1Yacutefrac14NtildeagraveraquoLAacutesup1OumlPAuml|frac12sup1AElig5iquestPeacutecedil4frac14raquo~Agrave5AtildedIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquest|UumlIumliquestUaacuteIacuteIumlEZEgravefrac14cedilfrac12frac14dAring~Ecirciquest[NtildeIumlLagraveAringEacutePAtildecedilwAacuteiquest|frac14draquoiEcirc dIumlnTHORN$frac14ZcedilAgrave5Auml|AringcedilwAacute4] divideugrave|ugraveUuacute iqueste`currenatildeOuml~frac14dAgrave5AtildeEgraveAacutesup1Igrave(AtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14EumlAacutesup1AumldraquoUacuteAring~AEligwsup1raquoordmfrac12Atilde5AcircnAtilde5frac12AEligwAtildeAacutefrac14dAgraveAacutesup1AcircnAtilde$AgraveAuml|raquoLAacuteAuml|AringcedilAEligfrac14Ouml~Ouml~frac12sup1AtildeEcirciexclAacuteAumlFIgraveNtildefrac34LAumlLAgravefrac14Zcedil4Ecircsup1frac14dfrac12ordmnfrac14ZAacuteAtildeEcircOtildeatildeIf-UumlkhEgraveETHaIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu not t v rJw iquest)x qJ+y xJ ^ Iuml

THORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquest13iexclNtildeIumlfrac14draquo~EcircdIumlWaacuteAuml|raquoLAacute4frac14ordm|raquoifrac14ZAacute4] divideugrave|ugraveUuacute iquest` ETHBAumldOumlPAuml|frac12Auml|ordmfrac34Oslashfrac14raquoiEcircIacuteAEligwIcirc~frac14dOumlPAtildeAgraveAuml|raquo~AEligqAacutewcedil4frac14sup1raquoUAacuteAEligyAumldraquotimesOumlifrac14Zcedil4frac14EumlIgrave(AtildeAacutewcedilsup1AgraveOslashfrac14dAgraveAacutesup1AcircnAtildearingAgrave5AumldraquoLAacuteAuml|AringcedilAElig_aIuml odshy~rv pumltutcodldP x4shy(l not vPLv p4rsldPtu notcent) v divideJw iquestuacute_qnugrave4yiuacute4rUuacute Iuml[Auml|Igrave(Atilde5AElig5iquestpounddIumlfrac14draquo~EcircaringmiddotNtildeIumleacuteifrac14Aring~ordm|Atilde cedil4frac14dAElig_] divideugrave|ugrave|ugrave iquestcurren` szlig9Atilde5Agrave5Aumldraquo~Agrave5sup1frac12sup1raquo~ordmIacuteEcircsup1AEligqAacute4frac14draquoAgrave5AtildeOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligfrac14draquo~Ecircaeligfrac12Atilde5AcircnAtilde5frac12EgraveAEligwAtilde AacuteAElig_aIumlpoundUodUp il|WoqUacuteumltul|-odshyNtildeshyFU~tR4lrRtcodTldix4shyl not vampgvipv v rsldrRtcod ) iquest dividedugravez^+ydivideddividez Iuml[cedil4frac145frac34LiquestszligyIumliquestdIumlyen-Auml|Aringraquo~ordmiquestampfrac14raquoiEcircagrave0Iumlampagravesup1currenfrac34LAtildecedil4] dividedugravedugraveuacute iquest `aacutesup1raquosup1IgraveNtildeAring~Igrave Ecircsup1AEligwAgrave cedilsup1Igrave(sup1raquo~frac14Aacutesup1Auml|raquosup1raquoOgraveregAumldcedilIgravefrac14Aacutesup1AumldraquoAgrave5frac12Aring~AEligqAacuteAtildecedilsup1raquo~ordmI]Igrave(AumlUEcircAtilde5frac12sup1raquo~ordmTfrac14raquoiEcircOslashecircLAringifrac14raquoUAacutesup1Ocircfrac14ZAacutesup1Auml|raquoOslashCcedilgsup1currenAacuteIcirc ordm|frac14dAringAEligwAEligIgrave(sup1currenicircAacuteAringcedilAtilde5AElig_aIumlTigraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquest=atildePIumliquest=aacuteIacuteIumlkZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestEgravefrac14raquoiEcirc[NtildeIuml=agrave9Aring~EacutePAtildecedilwAacute4] dividedugrave|ugraveUuacute frac14Uiquest` agrave EumliacuteatildeUAacuteAtilde5Ouml frac14dfrac12ordm|Aumlcedilsup1currenAacuteIcirc~IgraveAring~AEligwsup1raquoordmcedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtilde=Agrave5Auml|raquoLAacuteAuml|AringcedilAEligeOgraveuAumldcedilAcircUsup1EcircAtilde5AumlAuml|EacuteUbrvbarqAtilde5Agrave AacuteAElig=EcircAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoSaIuml~igraveraquo13]psect xw j x4 sect odpDumlqo odUacutex4shy(l not v9Pl| ~tu5op j rRtushyvwdtclNtildex4rv pwlnrRtKndvy]v pntc4v IumliETHWfrac14dIgrave(OumlPAtilde cedilAtilde|iquestieacuteWsup1raquofrac12Yacutefrac14raquoiEcirc]Iumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquestUatilde]IumliquestUaacuteIacuteIumlUZ=frac14cedilfrac12frac14dAring~EcirciquestUfrac14raquoiEcirccopy[NtildeIumlUagrave9Aring~EacutePAtildecedilwAacute4] dividedugravedugraveuacute EacuteiquestA` szlig9Atilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14AgraveAacutesup1AcircnAtildegAgrave5Auml|raquoLAacuteAumldAringcedilAEligOgraveuAumldcedilAcircUsup1YacuteEcircAtilde5AumlaringAuml|EacuteUbrvbarqAtilde5Agrave AacuteOtildeAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo Ccedilgsup1currenAacuteIcircaAgrave5frac14dIgrave(Atildecedil4frac14OslashAgrave5AumldIgrave(OumlPAtilde5raquo~AEligfrac14ZAacutesup1Aumldraquo13aIumligraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquesteatilde]IumliquestWaacuteIacuteIumlZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestefrac14draquo~Ecirc[NtildeIumlBagraveAring~EacutePAtilde cedilwAacute4] divideugrave|ugraveuacute Agrave|iquestk` g sup1EcircAtilde5AumlUacuteAuml|EacuteUbrvbarqAtildeAgraveAacuteFAEligwAtildeordm|Igrave(Atilde5raquoLAacute4frac14Aacutesup1AumldraquoAring~AEligwsup1raquo~ordmIacuteAtilde5Aring~frac12Atildecedilsup1frac14draquo cedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAElig_aIuml igraveiacuteraquoS] x4rv p ildrRtcodil|yodv pwv P4vIacuteoodshyiUrv paumlumltutcod Iuml g frac14draquoAgrave5Auml|AringAcircnAtildecediliquestehEgravefrac14draquo~frac14|Ecirc~frac14UIumlbyfrac14dAEligwAElig5iquesteaacuteIacuteIumliquestWagrave0Iuml Ucirc sup1currenAacuteUgravesup1raquoiquestWfrac14raquoiEcirctimesTHORNFIumlWETHBAtildecedilOcirc5AumldOumlPAuml|Aringfrac12AumldAElig_] uacute4^ JUiquestk`currenatilderaquoifrac14UgravenAtilde5AElig_]WagraveAgraveAacutesup1AcircnAtilde(Agrave5AumldraquoLAacuteAuml|Aringcedil0Igrave(AumlUEcircAtilde5frac12AElig_aIumlx4~rv p4PldrRtcoPl|WpoundUop4PldWoqodshyiUrv pTumltutcod iquest ndivideUuacuteyUzndivide Iuml

aacuteUacutefrac14dfrac12frac12frac14|Ecircsup1ciquest~szlig0IumliquestedIuml]atildeUAtildeAacuteIcirc~sup1frac14raquoiquest~frac14draquoiEcircZIuml g Atilde5IgraveNtildeAringcedilsup1G] uacute4^z^ UiquestS`atildeUIcircifrac14OumlPAtilde$Igrave(AumlUEcircAtilde5frac12sup1raquo~ordm0Ccedilgsup1AacuteIcirciexclOgraveregcedilAuml|raquoLAacuteOumlcedilAumldOumlifrac14dordm|frac14EumlAacutesup1Aumldraquo13]nfrac14ampfrac12AtildeAcircnAtilde5frac12AEligwAtildeAacuteEgravefrac14Ouml~OumlcedilAumlnfrac14dAgrave4Icirc13aIuml xQ|||~pwld lnrRtcodampodsectgldrRrv p 9Pl| ~tu9ldP j ln4Utreg]vx4~rvu t not v i4v Iordf iquest uacute z yiuacute+r UIuml

aacuteUacutefrac14draquoAEligwAuml|Aringcedilsup1Riquestagrave0Iumlfrac14draquo~EcircdIumlb$Auml|raquocedil4frac14|EcircS] uacute_^J^J^ iquestlaquo`currenaacuteAumldAacutesup1AumldraquoAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo`Ccedilgsup1currenAacuteIcirceumlfrac12Atilde5AcircnAtildefrac120AEligwAtilde AacuteAElig_aIuml igraveraquo13]x4~rv p4PldrRtcoPl|=ov pwv P4vNtildeodUacutex4shyl not vsectEgravepwo4v tu not Iumlcb$AumldEacutePAtilde|iquestednfrac14dOuml~frac14draquoIuml

aacuteAuml|raquoLAacute4frac14dordmdraquoifrac14ZAacuteiquestdIumliquestziexcl0IumlTHORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquestdfrac14draquo~EcircoNtildeIumlZagravegfrac34Ufrac14dAgrave4Icirc~AtildeJ] dividedugrave|ugraveUuacute iquest` agraveOslashcedilAtildeAcircsup1AtildeCcedilaeligAumldOgravePEcircAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeAEligwAringcedilwOgraveufrac14dAgrave5AtildeAElig_]AacuteAuml|OumlPAuml|frac12Aumldordmdfrac34Liquestgordm|AtildeAuml|Igrave(AtildeAacutewcedilwfrac34frac14draquoiEcirc EcircAtildeOgraveuAumlcedilIgravefrac14Aacutesup1Auml|raquoSaIuml x4shyl not vtimesldiOacuteumltutcododshy~rRtreg not0Inot v uacute_qw iquestuacuteugravendivide+y~uacuteugravezq|ugrave Iuml

aacuteAring~IgraveOgraveregAumldcedil4Ecirciquest=THORNFIumlgfrac14raquoiEcircdIumlatildeIcirc~frac14dIcircS] uacute4^ ^ iquest`currenmiddotOumlAacutesup1Igravefrac14frac12$frac14dOumlOumlcedilAumlicircsup1Igravefrac14Aacutesup1Auml|raquoAEligEacuteLfrac34Oumlsup1AtildeAgrave5AtildeCcedilgsup1AEligwAtildetimesAEligwIgrave(AumlLAumlAacuteIcircOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligFfrac14raquoiEcircOslashfrac14dAEligwAEligwAumlLAgravesup1Yacutefrac14ZAacuteAtildeEcircaringAcirc|frac14Zcedilsup1Yacutefrac14ZAacutesup1Auml|raquoifrac14frac12EgraveOumlcedilAumldEacute~frac12Atilde5Igrave(AElig_aIuml odshyNtildeshyFU~tR4lrRtcod~oaeligsectEgraveUpvUacuteldiEgraveni tsvw j ldrreg~v shy(lrRtccurrenshyt iquest rzr4y xJ q Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfa

yenKbrvbarsect =4 acirc $ zmiddotAEligwIcirc~AtildecediliquestdatildePIumlfrac14draquo~EcircdIumlnatildeAtilde AacuteIcirc~sup1frac14draquoS] uacute4^ ziquest` eacutecedilAuml|raquoLAacuteAEligeOumlcedilAumldOumlifrac14ordmnfrac14Aacutesup1raquoordmCcedilgsup1currenAacuteIcircFAgrave5AringcedilAcirc|frac14ZAacuteAringcedilAtildeEumlEcircAtilde5OumlPAtilde5raquoiEcircAtilde5raquoLAacuteBAEligwOumlPAtildeAtildeEcircS]

agravefrac12ordm|Aumlcedilsup1AacuteIcircIgrave(AEligEacute~frac14dAEligwAtildeEcircaumlAuml|raquoiexclampfrac14Igrave(sup1frac12AacuteAumldraquoEumldnfrac14Agrave5Auml|Eacutesup1eacute~AumldcedilIgraveNtildeAring~frac12frac14Aacutesup1Auml|raquoSaIuml poundUodUp4Pl|oqiexcloshyiUrsldrRtcoPl|sect=U~tc ordfenot iquest uacutedivide4yEqE^ Iumlfefrac14cedil4frac14ordm|sup1Auml|AElig5iquestoNtildeIumlfrac14draquo~EcircIacuteszligyIuml]THORNampAtildecedilsup1Agrave4Icirc~AtildeJ] uacute4^z^J^ iquest`s[Atilde5AumlUEcircAtildeAEligwsup1Agravefrac14AgraveAacutesup1AcircnAtildeFcedilAtilde5ordmdsup1Auml|raquo~AElig$OgraveregAumldcedil0Igrave(AumldAacutesup1Auml|raquoTAtilde5AEligqAacutesup1Igravefrac14Aacutesup1Aumldraquofrac14draquoiEcircAacutewcedil4frac14dAgrave4UgraveUsup1raquoordmAaIumligraveiacuteraquoS] x4rv p ildrRtcodil|-ov pwv P4vFodOslashodshyiUrv paumlumltutco Iumleh=AumldcedilwOgraveregAringgt[cedilAtilde5Atilde5Agrave5Atilde|Iumlfefrac14AacuteAtilde5Aringicirc]iquestatilde]Iuml] dividedugravedugrave|ugrave iquestpound`currenatildeOuml~frac14Aacutesup1frac14dfrac12AEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoTAumldOgrave=Agrave5Auml|frac12Aumlcedilysup1Igravefrac14ordm|Atilde5AEligampfrac14dAgrave5Agrave5Aumlcedil4Ecircsup1raquo~ordmAacuteAumlUacuteaacuteTHORNaringOgraveregAumldcedilIgravefrac14dfrac12currenEumlsup1AEligwIgraveaIumlyigraveraquo13] x4~rv p4PlrRtcodPld=od5v pv i vodododpFtu pwl4UtcldPx4shyl not vysectpqo v tu not Iumlatildefrac14dsup1raquoLAacute UumleAacutesup1Atilderaquo~raquo~Atildediquestieacutecedil4frac14raquo~Agrave5AtildedIumlfcedilAtildeAgrave5sup1Auml|AEligwAumliquesteacute=IumlEgravefrac14raquoiEcirc aacuteIacuteIumlcurrenZEgravefrac14cedilfrac12frac14dAring~EcircS] dividedugrave|ugraveUuacute iquest` Z-EumliacuteatildeUOuml~frac12sup1raquo~Atildeaumlfrac14dAgrave Aacutesup1Acirc|AtildeOtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAEligOgraveregAumldcedilOgraveRfrac14AEligqAacuteAcircUsup1EcircAtilde5AumltimesAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIumlOacuteigraveraquo13] x4rv p ildrRtcodil|od5v pv P4vaeligod x4shy(l not vUacutesectpqo4v 4tu not IumlETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1Riquest[cedilAtilde5Atilde5Agrave5Atilde|Iuml

szligAumldraquoOgraveufrac14cedil4EcirciquestszligyIuml] uacute_^J^q iquest` szlig9Atilde5ordmdsup1AumldraquoEumlsEacuteifrac14AEligwAtildeEcircFAEligqAacutewcedil4frac14ZAacuteAtilde5ordm|sup1Atilde5AEligeOgraveuAumlcedil-frac14dAgraveAacutesup1AcircnAtildeEgraveAgraveAuml|raquoLAacuteAuml|AringcedilIgrave(AumlUEcircAtilde5frac12AElig_aIuml x4~rv p4PldrRtcoPl|poundUodUp il|WoqodshyiUrv paumlumltutco I v dividezw iquest divideddividez^+yUdivide uacute Iuml

atildefrac14Igrave(AEligwAuml|raquoiquestzhIumliquestzIumlzZ=frac12frac14raquo~AgraveEumleacuteAtildecedil4frac14AringiEcirciquestJ[NtildeIumldagraveAringEacutePAtildecedilwAacuteiquestfrac14draquo~Ecirc dIumlJregPAtildecedilAring~Eacutesup1frac14I] dividedugravedugrave|ugrave iquest` agrave frac12Atilde5Acirc|Atilde5frac12UAEligwAtildeAacuteIgrave(AumlUEcircAtilde5frac12nOgraveregAumldcedilsup1Igravefrac14ordm|AtildeAgrave5frac12frac14dAEligwAEligwsup1siAgravefrac14ZAacutesup1Auml|raquo13aIuml x4~rv p4PlrRtcodPldpoundUodUp4Pl|BoqNtildeodshyiUrv pOtildeumltreg4tRod shy v Ew iquest uacute r4y~uacute4^Er Iuml

atildefrac14raquo~ordmdCcedilgsup1raquoAtilde|iquest9atilde]IumlEgravefrac14draquo~Ecircszlig0IumlampiexclAumldcedilraquoAtilde v Atilde5EcircAElig5Iuml w ] uacute_^J^ Uiquest ~vIacuteo|odUpaumltushyl not vipqo4v 4tu not ldP|m4oo4uml Iumlh=Icircifrac14dOumlIgravefrac14draquodegmacriexclampfrac14dfrac12frac12RIumlatildeAtildeAacuteIcircsup1frac14draquoiquestdIumlplusmn] uacute4^z^|ugrave iquestU` oAringIgrave(Atildecedilsup1Agravefrac14dfrac12Ufrac14frac12ordm|Aumldcedilsup1currenAacuteIcircIgrave(AEligWOgraveuAumldcedilOumlcedilAuml|Oumlifrac14ordmnfrac14ZAacutesup1raquoordmsup1raquoLAacuteAtildecedilwOgraveRfrac14Agrave5Atilde5AElig_]Jiexclampfrac14dIgrave(sup1frac12currenAacuteAuml|raquoEumldnfrac14dAgrave5AumldEacute~sup1

AtildeecircLAringifrac14Aacutesup1Aumldraquo~AElig-frac14draquoiEcircAgraveAuml|raquo~AEligwAtilde cedilAcirc|frac14ZAacutesup1Aumldraquo(frac12frac14CcedilgAElig_aIuml poundUodUp4Pl|]oqEgraveyen$t lv pv rRtcl| voshyv rRp~ iquest uacute4Uuacutey~uacute x uacute IumlatildeAtildeAacuteIcircsup1frac14draquoiquestAdIuml] uacute4^J^ xiquest kWvndvB]v r j v rregod IumlcurrenhEgravefrac14dIgraveNtildeEacutecedilsup1EcircordmdAtilderaquosup1AcircPIumlAfecedilAtilde5AEligwAElig5Iumlatildesup1Ecirc~Ecircsup1ecircUsup1Riquest4bIumliquest_yenNtildeIumlBfrac14Aring~Ocirc5sup1Gsup2AtildecedilAtilde|iquestagraveyIumlETHWfrac14draquoraquo~Atilde5raquoUEacute~frac14dAring~IgraveUacuteiquest5frac14draquo~EcircNtildeatildePIumlregPAring~Agrave4UgravenAtildecedil4] uacute_^J^ xUiquestE`currenagravegcedilAtildefrac149frac14draquoiEcirc$frac12Atilde5raquoordmdAacuteIcircyIgrave(sup1raquoEuml

sup1Igrave(sup1Ocirc5sup1raquoordm sup3iAumlCcedilgAEliggOgraveuAumldcedilAEligwIcircifrac14OumlPAtildeyAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo13aIuml xQ|||~pwl~ lnrRtcodoOtildex4shyl not vsectEgravepwo4v tu notordf v Ew iquest qEz+yqzqE Iumlyen=AtildeOcirc5Ocirc5sup1RiquestagraveyIumliquest5agrave0Iuml5ETHEgraveAEligfrac14dsup1Riquestfrac14draquo~Ecirc$agrave0Iuml Ucirc sup1frac12frac12AEligwUgraveLfrac34] uacute4^z^J^ iquestJ` agraveaeligAEligqAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12Ufrac14dOumlOumlcedilAumlnfrac14Agrave IcircampAacuteAumlgAEligwraquo~frac14dUgravenAtilde5AElig]OgraveuAumlcedilWEacutesup1Igrave(AumlUEcircfrac14dfrac12frac14draquoiEcircAacutewcedilsup1Igrave(AumlUEcirc~frac14frac12isup1Igravefrac14dordmdAtildecedilwfrac34aIumligraveraquo13] x4rv p ildrRtcodil|eodv pwv P4vyodx4shyl not vgsectpqo v tu not IumlAb$AumldEacutePAtildednfrac14dOuml~frac14draquoIumlreg]IcircUAringiquest]atilde]Iumlfrac14raquoiEcircaumlagrave0Iumleyen=Aringsup1frac12frac12AtildeJ] uacute_^J^ xUiquestpound` szlig9Atilde5ordmdsup1AumldraquotimesAgrave5AumldIgrave(OumlPAtildeAacutesup1currenAacutesup1Auml|raquo13]iAring~raquo~sup1currenOgraveYacutefrac34sup1raquoordmiexclAEligwraquo~frac14dUgravenAtilde5AElig5iquestPcedilAtildeordm|sup1Auml|raquoTordmdcedilAumlCcedilgsup1raquo~ordmiquestfrac14draquoiEcircZEgravefrac145frac34LAtilde5AEligacute|aacuteTHORNOgraveregAumldcedilIgraveFAring~frac12currenAacutesup1Eacuteifrac14raquoiEcirc sup1Igravefrac14ordm|AtildeTAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo13aIuml xQ|||micro~pwld lnrRtcodtimesosect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4v Icent iquesteJ q+yU^dugrave|ugrave Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfo

i $amp)(+-)013021+345627893lt=gt9A6CBfrac12OcircacuteIshyNT

frac12OcircacuteIltNTpara frac12frac34EMeJaumlQcYZYZjJUacuteQsY H [ ^QEgraveJLhZJUO H QcN H J H MeJordfXiacute[]fcfR[WQcO[Oslash^e[]ZaringNPQsOXiacutejOb H QR[]ONPfdaringocirc|adOuml times jOcircaacute uuml times a2atildeltszligaumlgtszliglOuml times j atilde auml

G QsObnJ H MJeumlYZJ H [SXIacuteNPfcfUacute^e[]ZaringNPQsOYMNPY Oe[ H N Y H hjb H jhZJ`[SXUPJUb H [PhQcNPfOtildeYZKNPbnJSefRJ H jYZ N`PJ H MeJeumlhZJ[]QR[]OYJUP[]fVUPJ H MehZ[]j[]M NrXqNSZaringQcfVm [SX H hNPOYYX[PhlZ N H QR[]OYa(|aagraveszlig jj emiddot iacuteaumlYlZOslash[[ H MaNPO^ centQ ~JUb H QVUPJS^ not [PhNOslashKEgrave[]QcO H $ aacute atildeshyszligaumlN eFWFJTOe[ H JSaring$ aagravej|aacutemiddot|aagraveszlig $ j WiexclQ H M |a s szlig $ jaacute $OumlcopytimesaagravejOcircaacutemiddot|aagraveszliglOumlutimesdj WiexclQ H M |a s szliglOumlcopytimesAjOcircaacuteAumlOumlutimes9J H jY H MeJUO^JOeJ H MeJordfUPJUfR[WbLQ H moUPJUb H [PhdY JUfs^kfrac12 YZjbM H MN H aringfrac12sup1aagraveszlig $ aagravejj|aacute aelig |aelig agrave aagraveszlig $ j YlaquoXiacuteNiharingNPY H MeJ bn[]ZOslashKj H N H QR[]O[SX H MeJ ^eJLhQU~N H QVUPJ QcYOslashbn[]ObnJLhOeJU^OeWFJNihZJQcOWVH JLhZJUY H JU^ QcO YYZaringNPfcfOtilde^JX[PhlZ N H QR[]OY^ J H MBjYJkWKNPO^ H MeJ H hNPOYX[PhZaringN H QR[]ONPbLbn[Ph^QcO[ H [hdY H [Ph^eJLh NmWfR[PhyacuteXiacute[PhlZtimesjfcNaring|aagraveszlig $ jpoundaacuteAElig|a s szlig $ j agrave aelig |aelig agrave a s szlig $ jaacute $ ragrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacute frac14 frac14 a s szlig $ j^ J H MeJUOQcO H hZ[W^jbnJ H MehZJLJgZ NPQcO^eJOQ H QR[]OYaringf^QMeJg0jfRJLhQcNPO^eJLhQU~N H QVUPJOtilde[SXocirc|adOuml times jordfaqQcO H MeJIacute^QRhZJUb H QR[]O[SXcedilfrac12jaring ocirc|adOumlcopytimesszlig_frac12jOcircaacutefcQZUcedil iacute ocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave admacrfj ^QMeJgZaringN H JLhQsNPfg^eJLhQVUiN H QVUPJOtilde[SXuumlStimesYa $ szliglOumlcopytimes)jaringsup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j|aacutefcQZUcedil iacute uumlStimesa $ ragrave3frac12ba $ jszliglOumlutimes agrave3frac12sup1a $ jj uuml]timesa $ szliglOumlcopytimesdjagrave admacr j^QMeJaumlYZMNiKEgraveJOtilde^eJLhQU~N H QVUPJOtilde[SXOcircuuml]timesa $ szliglOumlutimes)jaring

uumlnotraquotimes a $ szliglOumlcopytimesUcircszlig_frac12 jaacutefcQZUcedil iacute uumlStimesYa $ szliglOumlutimesragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave admacrS]j

uumlnyacutenthornnyumll13YSordmY_Fordfy

yenKbrvbarsect =4 acirc $ hq centUWQR[]jYZfVmSe-centmaJkBKNPO^QcO[ admacr jUacuteNPbLbn[Ph^QcOF[ H [hdY H [Phd^eJLhordfNmBfR[PhordfXiacute[PhlZtimesjfcNeWFJaumlMNUPJSaring sup1uumlStimesYa $ szliglOumlcopytimesUcircszlig_frac12 jaacuteAumluumlnotraquotimes a $ szliglOumlcopytimesszlig_frac12jhuumlStimesa $ szliglOumlcopytimes)j frac12sup1a $ j admacrj J H MeJUOabn[]ZOslashK-j H JZOslash[PhJaumlKhZJUbLQcYZJUfVm H MJ0jfRJLhQcNPO ^eJLhdQVU~N H QUPJauml[SXcopyocirc|adOumlcopytimesdj^ JMNUPJSaringocircOcircadOumlutimesaagravejj ocircOcircadOumlutimes)jagrave aacute fagrave = thorn yuml uuml times a $ aagravejszliglOuml times aagravejj $ uuml times a $ szliglOuml times j $ FH admacrSmacr]j5O H MJohY H QcO H J[PhdNPfdeltWFJZaringN`PJ H MeJU~NihdQcNicentfRJ bMNPO[PJ $ aagravejaacute $ agrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacuteethicirc7a2atildeshyszligaumlFjszligicirc cent a2atildeltszligaumlj eWMQcbdM[]QVUPJUYaring thorn yuml uuml]timesYa $ aagravejszliglOumlcopytimesYaagravejj $ aacute admacrS]j

5 uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlutimes agrave3frac12sup1a $ jjlt^eJ H ocirc a $ jlt $WMJLhZJocirc a $ jQcY H MeJgXiacute[]fcfR[WQcO[aringSNPbn[PcentQcNPOtZaringN H hdQkKaring

ocirc a $ jaacute oacute fcedilxagrave frac14 iacute oslashfrac14Uordm agrave frac14 iacute oslashfrac14 ugraveagrave frac14 iacute acircfrac14ordm fcedil agrave frac14 iacute acircfrac14 ugrave ocircNPO^ YZ[eFWNtildeJIacuteMNUPJSaring

^eJ H ocirc a $ jOcircaacute fUragravee^QVUKafrac34frac12sup1a $ jjragrave cent ^eJ H amacr frac12sup1a $ jjMJUOWNtildeJauml[Pcent H NPQcOOaring

fsQZcedil iacute ^eJ H ocirc a $ j fagrave aacute ^QVUKafrac34frac12sup1a $ jj admacr]zSjMJJBjN H QR[]OxadmacrSmacr]j H MeJUOcent=JUbn[]ZaringJUYaringocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave aacute fagrave middot uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jjlt 13raquo ocirc a $ jlt $ uumlStimesa $ szliglOumlcopytimesAj $ admacrSi]j JTbLNPO`YZjeKKEgrave[]YJ H MN H ^eJ H aocirc a $ jjfrac14aacute sfrac12 agrave frac12 $ ^ JZaringNm H MeJUO H N`PJ^eJ H aocirc a $ jjfrac34 s eNPO^ WNtildeJ ^eJUPJUfR[PK H MeJaJkWKhZJUYYZQR[]OadmacrSi]j NPYoX[]fsfR[WQsO[centmNP^^QcO[aringN H JLhZ QcO H MeJIacuteYZJUbn[]O^aQcO H J[PhNPfltWMQcfcJaumlYZjeKKhJUYZYZQcO[ H MeJtimesYZNSZOslashJ H JLhlZQcO H MJordfhY H QcO H J[PhNPfdaring ocirc|adOumlcopytimesYaagravejj ocirc|adOumlcopytimes)jagrave aacuteegraveOtildef1rOtilde cent admacrSh]j

uumlnyacutenthornnyumll13YSordmY_Fordf

s $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJSaring

Otilde aacute uuml]timesa $ ragrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave ^eJ H aocirc a $ jj $ ad s jOtilde cent aacute uuml]timesa $ szliglOumlcopytimesdj ^eJ H aocirc a $ jj fagrave $ adfj

9J H jY_ZaringN`PJordmagrave H JUO^ H [WNih^Y s ^curreniquestYZQcO[frac34admacrjiexclNPO^JOQ H Qc[]OYadmacr e macrS]jeWFJ[PJ H aringfcQZUcedil iacute Otilde aacute sup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j $

aacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ uuml times a $ szliglOuml times j frac12sup1a $ j $fcQZUcedil iacute Otilde cent aacute uuml]timesa $ szliglOumlcopytimesdj^QVUKafrac34frac12 j $

O^ Y[Xiacute[Ph H MeJgNtildejfRJLhQsNPO ^eJLhQVUiN H QVUPJSeWFJgO^Oaring ocirc|adOuml times szlig_frac12jumlaacuteyacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ amacrreguumlStimesYa $ szliglOumlcopytimes)j frac12sup1a $ j7 uuml]timesYa $ szliglOumlcopytimes)j^QVUKafrac34frac12sup1a $ jjj $aacute uumlnotraquotimes a $ szliglOuml times szlig_frac12j $ ^QVUKaduuml times frac12j $ ad j

MeJUO NiKKfVmWQcO[ H MJ hJLJUOWVAQRJZ NPOO H MeJL[PhZJZQcO ad jeWNtildeJ5ONPfcfmtimes[Pcent H NPQcOOaring ocirc|adOumlcopytimesszlig_frac12jOcircaacute uuml raquotimes a $ szliglOumlcopytimesUcircszlig_frac12j $ uacutefrac14 5 uuml]timesYafrac34frac12 eacuteAgraveiquestsup1AacuteAtildeAcircj THORN adS]jWMJLhZJ5eacuteAgraveiquestsup1AacuteAtildeAcircyQcY H MeJUacutejOQ H QcOOgraveWNih^ Oe[PhlZaringNPf H [ aelig OumlcopytimesUcirc^MeJ_NtildejfRJLhQcNPO ^eJLhQVUiN H QVUPJQcY(O[ H JU^ ocirc raquo aagravej(QcO H MeJaumlKNiKEgraveJLhNPO^ H MeJaumlYZMNiKEgraveJauml^eJLhQU~N H QVUPJyuuml raquotimes QcY(Oe[ H JU^ frac14 frac14 ^iquest acutemicrosup1cedilFLft not [PhyYQZOslashKfcQsbLQ H mSeWNtildeJ(bM[[]YJ H MeJcopyXiacute[]fcfR[WQcO[_U~NihQsN H QR[]OaeligQcO H MeJKhZ[B[SXaring$ aagravejaacute $ agrave3frac12sup1a $ j^MJiexclKh[[SXZaringNm NPfcYZ[IacutecentEgraveJiexcl^JUPJUfR[PKEgraveJU^WiexclQ H MZaring[PhZJ_[PJUOJLhNPfUiNihQcN H QR[]OYFYjbM NPYaring $ aagravejaacuteAacuteAgravea $ szligYagravejWQ H MAcircAgrave`NOslashYYZOslash[B[ H MXiacutejOb H QR[]ONPO^AcircAgravea szligYagravejcentQ ~5JUb H QVUPJS^

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ ffrac12OcircacuteIshyNT AcircE J(MNUPJ H [Otildebn[]ZOslashK-j H J H MJNtilde^QEgraveJLhZJUO HH JLhZaringY9[SXQa macr]j9QsOauml[Ph^eJLh H [Uacute[Pcent H NPQcO H MeJ

JUP[]fcj H QR[]OJBjN H QR[]O[SX H MeJ NPb H QUPJ bn[]O H []jehX[Ph H MeJ ^JUYZbnhQRK H [PhdYaumlcentNPYJU^Oacute[]OH MeJ(bn[U~NihQsNPObnJ ZaringN H hQVktimes^eJ H JLhlZ QcONPO H a2Ograveh]j^OgraveMeJ(bn[]ZOslashKj H N H QR[]OaringQcYampKEgraveJLhYXiacute[PhlZOslashJU^Xiacute[Ph H MeJIacute^eJUYZbnhQRK H [Ph_uuml thorn timesOslash yuml ^ q centUWQR[]jYZfmSeN YZQZ QcfcNihbn[]ZOslashKj H N H QR[]OabLNPOacent=JIacute^e[]OeJXiacute[PhOcircuuml thorn UgraveUcircUacuteUuml yuml ^ JiexclbLNPOaeligJkBKhJUYZYOcircuuml thorn timesOslash yuml NPYyNUacutebn[]ZTcent-QcON H QR[]Oaelig[SXgtXiacutejOb H QR[]OYamp^eJLKEgraveJUO^QcOF[[]O H MJOtildehZJ[]QR[]OwOuml timesOslash aring

uumlgtthorn times Oslash yuml a2atildeltszligaumlgtszligYagravejaacute`Ograveoacute m thorn timesOslash yumlaIgraveagrave thorn timesOslash yumlAtilde j cent ocirc adjWMJLhZJordmaacuteAuml85eWiexclQ H MAring8 H MeJordfXqjOb H Qc[]O QcO H h[B^jbnJU^ QcOpounda2Ograveh]je-NPO^aringm thorn timesOslash yuml aacute agrave thorn timesOslash yuml agrave thorn timesOslash yumlcent agrave thorn timesOslash yuml agrave thorn timesOslash yumlAElig agrave thorn times Oslash yumlCcedil agrave thorn timesOslash yumlEgrave agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlEgrave j cent agrave thorn times Oslash yumlcent aIgraveagrave thorn timesOslash yumlCcedil j cent agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlAElig j centWQ H MOaring EFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFH

agrave thorn timesOslash yuml aacute w$ thorn yuml aOtilde S times Oslash j cent atilde aumlagrave thorn timesOslash yumlcent aacute w$ thorn yuml aOtildeOgravecent Scenttimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yuml aacute w$ thorn yuml aOtildeS Stimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yumlAElig aacute w$ thorn yuml aOtilde S times Oslash jaOtildeOgravecent ScenttimesOslash j atilde aumlagrave thorn timesOslash yumlCcedil aacute w$ thorn yuml aOtilde S times Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlEgrave aacute w$ thorn yuml aOtilde cent S centtimes Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlAtilde aacute w$ thorn yuml atilde auml O^ Y[ H MJordfXiacutejOb H QR[]OY aelig thorn timesOslash yumlauml MNUPJ H MeJgXiacute[]fcfR[WiexclQcO[aeligJkBKhZJUYZYZQR[]OYaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

aelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlcent aacute aOtilde cent S centtimesOslash j centaelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlAElig aacute aOtilde S timesOslash jaOtilde cent S centtimesOslash jaelig thorn times Oslash yumlCcedil aacute aOtilde S timesOslash jaOtilde S timesOslash jaelig thorn times Oslash yumlEgrave aacute aOtildeOgravecent ScenttimesOslash jaOtilde13 StimesOslash jaelig thorn times Oslash yumlAtilde aacutemiddotf

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBnot h[]Z H MeJUYJaumlJkWKhZJUYYZQR[]OYeWFJOtildeJUNPYZQcfm ^eJU^jbnJ H MN H aring

$ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde aumlregaacute sEacutefrac12poundEcirc iuml

J H MeJUO MNUPJ H [Tbn[]ZaringKj H J H MeJ H JLhlZaringY eacute thorn times Oslash yumlauml XiacutehZ[]Z H MeJJkWKhZJUYZYQR[]OYamp[SXagrave thorn timesOslash yumlauml eWMQcbM fRJUNP^Y H [aringEFFFFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFFFFH

eacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideoslash aacute w$ thorn yuml uacute ouml $ordfdivideacirc uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIgrave yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H a timesOslash jjeacute thorn timesOslash yumlcent aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideacirc

aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIcirc yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideEuml aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideacirc thorn thorn uacute ouml $_divideIuml yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yumlAElig aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIuml aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideEuml uacute ouml $ordfdivideIuml thorn uacute ouml $_divideIcirc uacute ouml $ordfdivideIgrave yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlCcedil aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIcirc aacute w$ thorn yuml cent thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideacirc uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlEgrave aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIgrave aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideoslash uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlAtilde aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIacute aacute w$ thorn yuml thorn +ETH ouml $_dividethorn uacute ouml $ordfdivideIacute yuml Iuml 8 raquo aq^J H a timesOslash jj

O^centmJkWKhZJUYZYZQsO[ H MeJbn[UiNihQcNPObnJZaringN H hQVkpoundWQ H M H MJregXqjOb H QR[]OYagrave thorn timesOslash yumlauml NPYXiacute[]fcfR[WQcO[aring

timesOslashlaquoaacute 1NtildeNtildeNtildeNtildeNtildeNtilde3uacute ouml $ordfdivideoslashuacute ouml $ordfdivideIacute uacute ouml $_divideIumluacute ouml $_divideIacute uacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIumluacute ouml $ordfdivideIacute uacute ouml $_divideacircuacute ouml $_divideIacute uacute ouml $ordfdivideIgraveuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacute uacute ouml $_divideIgraveuacute ouml $_divideIacute uacute ouml $ordfdivideEumluacute ouml $ordfdivideIacute

6OgraveOgraveOgraveOgraveOgraveOgrave7 J H MJUO^eJU^jbnJSaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

eacute thorn times Oslash yuml aacute a fj thorn yuml ^eJ H aDC Ptimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlcent aacute a fj thorn centcent yuml ^eJ H aDC centcenttimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yuml aacute a fj thorn curren yuml ^eJ H aDC 4times Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlAElig aacute a fj thorn cent yuml ^eJ H aDC centtimes Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlCcedil aacute a fj thorn curren yuml ^eJ H aDC times Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlEgrave aacute a fj thorn centcurren yuml ^eJ H aDCcent4times Oslash j48 raquo aq^eJ H a timesOslash jjeacute thorn times Oslash yumlAtilde aacute amp^eJ H a timesOslash j48 raquo aq^eJ H a timesOslash jj

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ SWMJLhZJC EBtimesOslash QcY H MeJgZaringN H hdQk ^eJU^jbnJU^Xh[]ZOacutetimesOslasharingcentm YZjeKKhZJUYZYZQcOF[ H MeJyuuml UumlON hZ[WNPO^ H MJ I UumlON bn[]fcjFZaringOO^]MeJbn[]ZOslashKj H N H Qc[]OordmX[Ph H MeJ^eJUYZbnhdQRK H [Ph|uuml thorn UgraveUcircUacuteUuml yuml QcYyYQZaringQcfcNihNPO^WFJ H MeJUOOslashMNUPJNPfcf H MeJ(JkWKhZJUYZYZQc[]OY H [aumlbn[]ZOslashKj H J H MeJJUP[]fcj H QR[]OaeligJjN H QR[]OXiacutehZ[]Z H MeJg[PJUOJLhNPfOXiacute[PhlZIacutejfcNta macr]j^gtMQcYcopy[]QVUPJUY H MeJTJUP[]fcj H QR[]O JBjN H QR[]Osup1admacr s j^

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBΩ out

Objects

Γ

inΩ

inΩ

Background Part

-t not Upv copy ETHEgraveIcircAtildeampAacuteiacuteCcedil=AumlFcedilAtilde5ordm|sup1Aumldraquo~AElig9AumldOgravefrac14raquoUacutesup1Igravefrac14dordm|Atilde

Ω

Ω out (τ)Ω

(τ)in

N

Γ(τ)

Ω

N

v

w

N

-t not Upv ETHEgraveIcircAtildeyEcircAumldIgravefrac14dsup1raquo~AEliggfrac14raquoiEcircAacuteIcircAtilde$AcircnAtilde5AgraveAacuteAumlcedilAEliggsup1raquoUAcircnAumldfrac12AcircnAtildeEcircsup1raquoiexclAacuteIcirc~Atilde$EcircAtildecedilsup1Acirc|frac14ZAacutesup1Aumldraquo

uumlnyacutenthornnyumll13YSordmY_F2ordf

yenKbrvbarsect =4 acirc $ Smacr

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 Atilde|IumligraveAacuteAtildecedil4frac14ZAacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvyzU eacuteWsup1ordm|AringcedilAtilde5AEligfrac14iquest Eacuteiquest AgraveJ]iUumlAcircnAumldfrac12AringAacutesup1Auml|raquoOtildeAumlOgraveeAacuteIcirc~Atildeyfrac14dAgrave Aacutesup1Acirc|Atilde0AgraveAuml|raquoLAacuteAuml|AringcedilIgravefrac14raquoifrac14ordm|AtildeEcircUacuteEacuteLfrac34AacuteIcirc~AtildefTHORN$Uuml v qzqwsup1raquo~Agrave5frac12AringiEcircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquoifrac14frac12ampAacuteAtildecedilIgrave(AElig5IumlgeacuteWsup1ordm|AringcedilAtilde5AEligOtildeEcirc]iquest Atildediquest Ograve] g sup1AEligwAringifrac14frac12sup1Ocirc5frac14Aacutesup1Auml|raquo`AumldOgrave0AacuteIcirc~AtildeTAgrave5AumldcedilwcedilAtilde5AEligwOumlPAumldraquoiEcircsup1raquoordmAcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 OgraveuAring~raquoAgraveAacutesup1Auml|raquosup1raquo~Agrave5frac12Aring~Ecircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquo~frac14dfrac12ampAacuteAtildecedilIgrave(AEligraquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirc EacutePAtildeAacuteiacuteCcedil=Atilde5Atilde5raquo ugrave frac14draquoiEcirc divide JUiquestAEligwAring~Agrave4IcircTAacuteIcirc~frac14Aacute$AacuteIcircAtilderaquo~Atilde5ordm|frac14Aacutesup1AcircnAtildeAcircdfrac14dfrac12AringAtilde5AElig0frac14cedilAtildefrac12AumlCcedilEgraveAtildecedilyAacuteIcirc~frac14draquo uacutedivide Uacutefrac14raquoiEcircaumlAacuteIcirc~AtildeOumlPAumldAEligwsup1Aacutesup1AcircnAtilde(Aumldraquo~Atilde5AEligyfrac14ZcedilAtilde(Icirc~sup1ordm|IcircAtildecedilAacuteIcircifrac14raquo uacuteZdivide Iuml

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

Ecirc]Iumligraveraquo~sup1currenAacutesup1frac14dfrac12BAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 Atilde|IumligraveAacuteAtilde cedil4frac14Aacutesup1Auml|raquo ugravedugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not Upv ucirc eacuteWsup1ordmdAringcedilAtilde5AEligtimesfrac14iquest Eacuteiquest AgraveJ]ampUumlAcirc|Auml|frac12AringAacutesup1Auml|raquoAumlOgrave(AacuteIcirc~Atildearingfrac14AgraveAacutesup1AcircnAtildeOslashAgrave5Auml|raquoLAacuteAumldAringcedilIacuteIgravefrac14draquoifrac14ordm|AtildeEcirc`EacuteUfrac34AacuteIcircAtildeOcircfTHORN$Uumlv q w iquestiexclCcedilgsup1currenAacuteIcirc~AumldAringAacuteAacuteIcirc~Atildefrac14dEcirc~Ecircsup1Aacutesup1Aumldraquoifrac14dfrac12TAacuteAtildecedilIgrave(AElig5IumliexcleacuteWsup1ordm|AringcedilAtildeAElig Ecirc]iquest Atildediquest Ograve] g sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo AumlOgraveaeligAacuteIcirc~AtildeAgraveAumldcedilwcedilAtildeEumlAEligwOumlPAuml|raquo~Ecircsup1raquo~ordm AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 OgraveregAring~raquo~Agrave Aacutesup1AumldraquoeumlCcedilgsup1currenAacuteIcirc~Auml|AringAacuteIacuteAacuteIcircAtilde frac14|Ecirc~Ecircsup1currenAacutesup1Aumldraquoifrac14frac12FAacuteAtildecedilIgrave(AElig v raquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirceumlAEligwAring~Agrave4Icirc AacuteIcirc~frac14AacuteIgravefrac14icirc vOOtilde wpOumldivide z w Iuml

uumlnyacutenthornnyumll13YSordmY_F2

S $amp)(+-)013021+345627893lt=gt9A6CB

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIumligravesAacuteAtildecedil4frac14Aacutesup1Aumldraquogt ugrave|ugrave AgravedIumlieacuteWsup1raquoifrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12Acirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 AtildedIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIumlieacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvtimesLg sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo(AumldOgravePAacuteIcirc~AtildeAtildeAcircnAuml|frac12AringAacutesup1AumldraquoAumldOgravePAacuteIcircAtildeEgraveAgrave5Auml|raquoLAacuteAumldAringcedil-frac14draquo~EcircNtildeAacuteIcirc~AtildeEgraveAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 v Ccedilgsup1AacuteIcircAuml|AringAacuteAacuteIcircAtildeEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircFAacuteAtilde cedilIgrave w OgraveregAumldcedilEgraveAacuteIcircAtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoAumlOgraveAacuteIcircAtilde9Ograveufrac14dAgrave5AtildeAring~AEligwsup1raquo~ordmyAacuteIcirc~Atilde9Agrave5AumlZAcirc|frac14Zcedilsup1frac14draquo~AgraveAtildeIgravefrac14Aacutewcedilsup1currenicirc]Iuml

frac14Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcircnAtilde EacuteIumligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 v AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde w Agrave|Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacutefrac34 v Acircdfrac14cedilsup1frac14draquoAgrave5Atilde w-t not Upv h=AumldIgrave(Oumlifrac14cedilsup1AEligwAumldraquoOtildeAumldOgraveAacuteIcirc~Atilde$sup1raquo~sup1currenAacutesup1frac14dfrac12eAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34iexclAgrave5Auml|Igrave(OumlAringAacuteAtildeEcircAringAEligwsup1raquo~ordmAacuteIcirc~Atilde$AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde0Igravefrac14Aacutewcedilsup1currenicircv iordmdAringcedilAtildeFEacute w AacuteAumliexclAacuteIcircAtildeAuml|raquoAtildeFAgrave5AumldIgrave(Ouml~AringAacuteAtildeEcircTAringAEligwsup1raquo~ordmiexclAacuteIcircAtildeFAcircdfrac14cedilsup1frac14draquoAgrave5Atilde v ~ordm|AringcedilAtildeFAgrave w OgraveregcedilAumldIgrave AacuteIcirc~AtildeNtildeAEligfrac14dIgrave(Atildesup1raquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcirc|Atilde v iordmdAringcedilAtilde$frac14 w Iuml

uumlnyacutenthornnyumll13YSordmY_F2_a

yenKbrvbarsect =4 acirc $ ]z

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv Oslash| THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5AtildeccediliacuteAtildecedilsup1UgraveUegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_o

Si $amp)(+-)013021+345627893lt=gt9A6CB

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv ordf THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5Atildeccedilqfrac14dUgraveUsup1currenfrac34LAumldegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_y

RR-0114-SJEHANpdf
  • wwwi3sunicefr
    • httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf
Page 35: LABORATOIRE INFORMATIQUE, SIGNAUX ET SYSTEMES DE …mh/RR/2001/liste-2001.pdf · 2002. 6. 27. · [Dir01] DIRAT L. “Outils pour des Mathématiques Interactives et Distribuées”

yenKbrvbarsect =4 acirc $ macrNihZJy[]QVUPJUO`QsO not QV[^ i^ JaeligbMe[B[]YJbaacute s ^ JtimesbLNPO`YJLJ H MN HH MeJXiacuteNPbnJaeligQcYuWFJUfcf^eJ H JUb H JU^aJUPJUOaQVX H MeJaumlbn[]fR[Phiexcl[SXMJLhYZMQRh H QsY(bLfR[]YJ H [ H MJgXiacuteNPbnJIacutebn[]fR[Ph^

YOEAEligMgtIltROgravesup3PshyAtildeT13MKI5O H MQcYKNiKEgraveJLheuWNtildeJKhZ[PKEgrave[]YJN OeJW 0jfRJLhQcNPOAumlZaringQsOQZaringQVcurrenUN H Qc[]OAumlZOslashJ H Me[W^ H [bn[]ZOslashK-j H J H MJUPJUfR[WbLQ H mpoundUPJUb H [Pharing[SXNPONPb H QVUPJ bn[]O H []jeh H MN H JUOYZjehZJUYtimesQ H WQcfcfJUP[]fVUPJ NPYordfXiacuteNPY H NPYOtildeKEgrave[]YZYZQRcentfcJ H [WNih^YIacuteNZaringQcOQCZIacutejFZ [SXN bnhQ H JLhQR[]OeumlQcObLfcj^QcOF[centEgrave[ H MUacutehZJ[]QR[]OeVcentNPYJU^TNPO^OtildecentEgrave[]jO^NihYmVcentNPYJU^ H JLhlZ Y^ q jehgNiKKhZ[]NPbMIacuteQcYcentNPYZJU^Otilde[]OYZMNiK=J[PK H QZaringQVcurrenUN H Qc[]OOslashKhQcObLQRKfRJUY$NPO^ QcYyKEgraveJLhYXiacute[PhlZOslashJU^ QcO H MehZJLJ5ZaringNPQcO Y H JLKYaringf^ltO H hZ[W^jb H QR[]O[SX$NOslash^mWONSZaringQcbLNPfYbMeJZOslashJIacuteQcO H MeJTbnhQ H JLhQR[]OOe ^vF[]ZOslashKj H N H Qc[]Oaelig[SX H MeJ_0jfRJLhdQcNPOaelig^eJLhQVUiN H QVUPJ[SX H MJbnhQ H JLhQR[]OOslashjYZQcO[OtildeYZMNiKEgraveJ

[PK H QZaringQVcurrenUN H Qc[]O H [[]fcYe^vF[]ZOslashKj H N H Qc[]Oa[SX H MeJtimesJUP[]fcj H Qc[]OaJBjN H QR[]O`[SX H MeJaeligNPb H QVUPJtimesbn[]O H []jehiexclXiacutehZ[]ZH MeJT^eJLhQU~N H QVUPJS^

iexcl Ntilde _ cent G NPfcfR[WY H [hJUNP^QcfVm H N`PJNtildeQcO H [NPbLbn[]jO H9H MeJybLNPYJ0[SXBhJ[]QR[]OWV4^eJLKEgraveJUO^eJUO H^eJUYbnhQRK H [PhY H MN H NihZJo[]fR[PcentNPfcfVmN HH NPbdMeJU^ H [ H MeJ JUP[]fVUWQcO[ hZJ[]QR[]OYtimesNPO^Y[H MN H UiNihYm^jehQsO[ H MJaumlKhZ[PKN[]N H Qc[]O [SX H MJaumlbLjehYUPJS^ JTYMe[W H MN HH MeJgUiNihQuVN H QR[]O [SX H MeJUYJ^JUYZbnhQRK H [PhdY QsO^jbnJUYNP^^Q H QR[]ONPf H JLhlZaringYQcO H MeJeumlJUP[]fcj H QR[]OJBjN H QR[]Oeuml[SX H MeJaringNPb H QVUPJ bn[]O H []jeh^MJUYJ H JLhlZaringYgZtimesjY H Oe[ H centEgraveJlaquoX[Phl[P[ HH JUOQcO[Ph^JLh H [ hZJUNPbMeumlN H hjeJZ QcOQZtimesjFZ[SX H MeJtimesbnhQ H JLhQc[]OaNPYUacuteQ H MNPYcentEgraveJLJUOKEgrave[]QcO H JU^[]j H QsOJkBKEgraveJLhQZaringJUO H NPfEgravehZJUYjf H Y^

Yfrac34XiacuteNiheumlNPYeumlMe[]ZOslash[S[PJUOeJL[]jYeumlbn[]fR[PheumlhZJ[]Qc[]OY`YZJ[]ZOslashJUO H N H Qc[]OQsY`bn[]ObnJLhdOeJU^OeWFJKhZ[PKEgrave[]YJ H MeJ`bn[U~NihQsNPObnJfrac34ZaringN H hdQk^eJ H JLhlZaringQcONPO H NPY N^eJUYbnhQRK H [Ph^MQcYY H N H QsY H QcbLNPfhZJ[]QR[]OeV4^eJLKEgraveJUO^eJUO H ^JUYZbnhQRK H [PharingNiKK=JUNihdY H [centEgraveJN UPJLhlm7hJUfRJU~NPO HH [B[]fampNPO^eumlY[ Q H MNPYUacutecent=JLJUOeumlYZjbLbnJUYZYXqjfcfVm NiKKfsQRJU^ H [XqNPbnJaring^eJ H JUb H QR[]OQcOfrac34UWQc^eJL[YJBjeJUObnJUY^

iquest acuteraquoacuteLacuteIltR]acuteAtildeagraveIgravefrac14dEcircsup1Atilde5AringiquestLmiddotNtildeIumliquestUumlgIumlUTHORNampAtildeEacutecedilAtilde5AringAcircnAtilde|iquestaacuteIacuteIumlIZEgravefrac14Zcedilfrac12frac14dAringiEcirc]iquestfrac14draquoiEcirc[NtildeIumlagraveAringEacutePAtildecedilwAacute4] uacute_^J^J^ iquest)` igraveraquoLCcedilfrac14cedil4Ecircfrac14draquo~Ecirc(Auml|AringAacuteCcedilfrac14Zcedil4Ecirc

Agrave5AringcedilAcircnAtilde$AtildeAcircnAuml|frac12AringAacutesup1AumldraquoTAringAEligwsup1raquo~ordm(frac12Atilde5AcircnAtilde5frac12AEligwAtildeAacuteampIgrave(Atilde AacuteIcirc~AumlUEcircSaIumligraveraquo13] x4~rv p4PldrRtcoPl|Egraveod5v pv i4vodaumlx4shyl not vsectpqo v tu not Iumlcb$Auml|EacutePAtilde|iquestednfrac14Oumlifrac14draquoIuml

agraveIgrave(Aumldraquo~Auml|Aringiquest~igrave4IumlPfrac14raquoiEcircfWIumliTHORNampAringIcircifrac14Igrave(Atilde5frac12G] divideugrave|ugrave|ugrave iquest` igraveAacuteAtildecedil4frac14ZAacutesup1Acirc|AtildeNtildeEacute~frac14dAgrave4UgraveUCcedilEgravefrac14cedil4EcircUacuteAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoUacuteOgraveregAumldcedilIcirc~sup1Atildecedil4frac14cedilAgrave4Icirc~sup1currenEumlAgravefrac14dfrac12=CcedilEgravefrac14AcircnAtilde5frac12AtildeAacutesup1Igravefrac14ordm|AtildeAgrave5AumlUEcircsup1raquo~ordmIaIumlaeligigraveiacuteraquoS] x4rv p ildrRtcodil|ampod5v pv P4vOtildeodOslashx4shy(l not vFsectpqo v tu not Iumlg frac14raquo~Agrave5AumldAring~AcircnAtildecediliquestehEgravefrac14raquoifrac14|Ecircfrac14Iuml

agraveAringEacutePAtildecedilwAacuteiquest[NtildeIumlWfrac14raquoiEcircifWIuml13b$Aumldcedilraquo~OumlcedilAuml|EacuteAEligqAacute4] divideugrave|ugraveuacute iquestkj ldrregv shy(ldrRtcl|ipwonm5v shyNtildetuOslashtushyl not vampipwo4v tu not sect9ldp4rRtcl|Egravedt lv pv ~rRtRl|9vDm~lrRtcod~ldiTrreg~vUacutel| Uiexcloqnldp4tcldrRtRod~ iquestpoAumlIuml uacute_qEr IumlOslashagrave9Ouml~Oumlfrac12sup1AtildeEcircaacuteUacutefrac14AacuteIcirc~AtildeIgravefrac14Aacutesup1Agravefrac14dfrac12BatildeAgravesup1Atilderaquo~Agrave5Atilde5AElig5iquestPatildeOumlcedilsup1raquoordm|Atildecedil g Atildecedilfrac12frac14dordmIumlhEgravefrac14dAEligwAtilde5frac12frac12Atilde5AElig5iquest g Iumliquest~szlig0Iumleb$sup1Igrave(Igrave(Atilde5frac12Riquestifrac14raquoiEcirc[NtildeIumlatildefrac14dOumlsup1cedilAumlI] uacute_^J^Er iquest`s[Atilde5AumlUEcircAtilde5AEligwsup1AgraveFfrac14dAgraveAacutesup1AcircnAtildeyAgrave5AumldraquoUAacuteAumldAringcedilAElig_aIuml x4~rv p4PldrRtcodPldpoundUodUp4Pl|WoqodshyiUrv paumlumltutcodutet13v uacute+w iquestex uacuteyIrz^ Iuml

uumlnyacutenthornnyumll13YSordmY_F

$amp)(+-)013021+345627893lt=gt9A6CBh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34LiquestBagraveyIumlWfrac14raquoiEcircidIumlBTHORNampAringraquo~Agravefrac14raquo13] uacute4^z^J^ iquest`[ampfrac14Igrave(AtildeEumlcAacuteIcirc~Atilde5AumlcedilAtildeAacutesup1Agrave(sup1raquoUAacuteAtildeordmdcedil4frac14Aacutesup1AumldraquoaeligOgraveuAumldcedil0sup1Igravefrac14dordmdAtildeAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIuml xQ|||~pwl~ lnrRtcodNtildeodiexclsect9lrRrv p auml9Pl| ~tuyldi j l|4Utu]vx4~rvreg t not v P4v Iumlh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34Liquestgagrave0IumliquestIumlgatildeUAacute4frac14dsup1Eacuteiquest9frac14draquoiEcircdIuml9THORNampAringraquo~Agravefrac14raquo13] uacute_^J^ xiquest` THORNampAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeIacuteEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34iraquo~Ecircsup1raquo~ordmsup1raquoIgrave(AtildeEcircsup1Agravefrac14frac12iexclsup1Igravefrac14ordm|Atilde5AEligaringEacuteLfrac34Oacutesup1raquoLAacuteAtilde5ordmcedil4frac14Aacutesup1raquo~ordm ordmdcedil4frac14|Ecircsup1Atilde5raquoLAacute frac14raquoiEcirccedilAtilde5ordm|sup1Auml|raquo sup1raquoOgraveuAumldcedilIgravefrac14ZAacutesup1Auml|raquo13aIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu notI iquesteE ^4y rdugrave Iumlh=Icircifrac14raquoiquestBETHIumlWfrac14raquoiEcircIuml g Atilde5AEligwAtildeJ] dividedugravedugraveuacute iquest` agraveAgraveAacutesup1AcircnAtildeFAgrave5Auml|raquoLAacuteAuml|AringcedilAElig$Ccedilgsup1AacuteIcircAuml|AringAacuteNtildeAtilde5Ecircordm|AtildeAElig_aIuml xQ||k|~pwld lnrRtcododUacutex4shy(l not v9sectpqo4v 4tu notuU v divideJw iquest divide xJx ydividezrJr Iumlh=Icirc~Atilde5AEligwraquo~frac14dAring~EcirciquesthIumliquestfWIuml=szligAtildeOgraveYacutecedilIAtilde5ordm|sup1Atildecediliquestfrac14draquoiEcirc g Iuml5Z=AumldAring~frac12AtildeAacute4] uacute_^J^z^ iquest`currenatildeUAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12cedilAtilde5ordmdsup1AumldraquoAEligwraquoifrac14dUgrave|AtildeEumlsEacuteifrac14dAEligwAtilde5EcircAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquofrac14|Ecircfrac14dOumlAacuteAtilde5EcircFAacuteAumlyEcircsup1s]AtildecedilAtilde5raquoLAacute-Ouml~IcircLfrac34AEligwsup1Agrave5frac14dfrac12~raquoAuml|sup1AEligwAtilde9Igrave(AumlUEcircAtilde5frac12AElig_aIuml xQ||k|~pqld~ lnrRtco~$osect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4vt iquest uacute|uacute_q y~uacute|uacute xIumlh=Auml|IcircAtilde5raquoiquestIuml] uacute4^z^uacute iquest`currenmiddotraquofrac14dAgrave Aacutesup1Acirc|Atilde Agrave5AumldraquoLAacuteAuml|AringcedilIacuteIgrave(AumlUEcircAtildefrac12AEligtimesfrac14draquo~EcirceumlEacuteifrac14dfrac12frac12AumlLAuml|raquoAElig_aIuml odshyiUrv pumltutcod pwl Utc0ldix4shyl not vsectEgravepwo4v tu not x4shyl not vOtildePnv p rsldidtu not) iquest divideUuacuteduacuteydivideLuacute UIumlh=Auml|IcircAtilde5raquoiquestSIumliquestUumlIuml13ZEgravefrac14cedil4Ecircsup1raquo~AtildeAacuteiquestfrac14raquoiEcircoNtildeIumlagrave9frac34Lfrac14dAgrave4Icirc~AtildeJ] uacute_^J^z iquest`atildeUAringcedilwOgraveufrac14dAgrave5Atilde0cedilAtilde5Agrave5Auml|raquoAEligqAacutewcedilAring~AgraveAacutesup1AumldraquotimesAring~AEligwsup1raquoordmfrac14AgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilaumlIgrave(AumlUEcircAtilde5frac12AElig_aIuml igraveiacuteraquoS] Lsect=xQ|od5v pv P4v od vwodshy(v rRp tc j v rregodtimestuodshyiUrv pumltutco Iuml~atildefrac14raquoUacuteTHORNampsup1Atilde5ordm|AumliquesthEgraveagraveyIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquestEgraveUumlIuml] dividedugrave|ugravedugrave iquest`currenatildeAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquo Ouml~frac14cedilAgrave5Auml|raquoLAacuteAuml|AringcedilAEligUacutefrac14AgraveAacutesup1currenOgraveuAEligUacuteAtilde5raquosup1Igravefrac14dordmdAtildecedilsup1AtildeIacuteIgraveAtilde5Ecircsup1Agravefrac14dfrac12AtildeIacuteEcircfrac34UEumlraquoifrac14dIgrave(sup1ecircLAring~Atilde]ampfrac14Ouml~Ouml~frac12sup1Agravefrac14ZAacutesup1AumldraquoAtilde5raquoeumlAgravefrac14Zcedil4Ecircsup1Auml|frac12Auml|ordmdsup1Atilde raquoUAring~Agravefrac12Atilde5frac14dsup1currencedilAtildeJaIumlfIcircIuml THORNFIumlAacuteIcirc~Atilde5AEligwsup1AElig5iquestraquo~sup1AcircnAtildecedilAEligwsup1currenAacutefrac34`AumlOgraveosup1Agrave5AtildeEumliacuteatildeAumldOuml~Icircsup1Yacutefrac14NtildeagraveraquoLAacutesup1OumlPAuml|frac12sup1AElig5iquestPeacutecedil4frac14raquo~Agrave5AtildedIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquest|UumlIumliquestUaacuteIacuteIumlEZEgravefrac14cedilfrac12frac14dAring~Ecirciquest[NtildeIumlLagraveAringEacutePAtildecedilwAacuteiquest|frac14draquoiEcirc dIumlnTHORN$frac14ZcedilAgrave5Auml|AringcedilwAacute4] divideugrave|ugraveUuacute iqueste`currenatildeOuml~frac14dAgrave5AtildeEgraveAacutesup1Igrave(AtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14EumlAacutesup1AumldraquoUacuteAring~AEligwsup1raquoordmfrac12Atilde5AcircnAtilde5frac12AEligwAtildeAacutefrac14dAgraveAacutesup1AcircnAtilde$AgraveAuml|raquoLAacuteAuml|AringcedilAEligfrac14Ouml~Ouml~frac12sup1AtildeEcirciexclAacuteAumlFIgraveNtildefrac34LAumlLAgravefrac14Zcedil4Ecircsup1frac14dfrac12ordmnfrac14ZAacuteAtildeEcircOtildeatildeIf-UumlkhEgraveETHaIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu not t v rJw iquest)x qJ+y xJ ^ Iuml

THORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquest13iexclNtildeIumlfrac14draquo~EcircdIumlWaacuteAuml|raquoLAacute4frac14ordm|raquoifrac14ZAacute4] divideugrave|ugraveUuacute iquest` ETHBAumldOumlPAuml|frac12Auml|ordmfrac34Oslashfrac14raquoiEcircIacuteAEligwIcirc~frac14dOumlPAtildeAgraveAuml|raquo~AEligqAacutewcedil4frac14sup1raquoUAacuteAEligyAumldraquotimesOumlifrac14Zcedil4frac14EumlIgrave(AtildeAacutewcedilsup1AgraveOslashfrac14dAgraveAacutesup1AcircnAtildearingAgrave5AumldraquoLAacuteAuml|AringcedilAElig_aIuml odshy~rv pumltutcodldP x4shy(l not vPLv p4rsldPtu notcent) v divideJw iquestuacute_qnugrave4yiuacute4rUuacute Iuml[Auml|Igrave(Atilde5AElig5iquestpounddIumlfrac14draquo~EcircaringmiddotNtildeIumleacuteifrac14Aring~ordm|Atilde cedil4frac14dAElig_] divideugrave|ugrave|ugrave iquestcurren` szlig9Atilde5Agrave5Aumldraquo~Agrave5sup1frac12sup1raquo~ordmIacuteEcircsup1AEligqAacute4frac14draquoAgrave5AtildeOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligfrac14draquo~Ecircaeligfrac12Atilde5AcircnAtilde5frac12EgraveAEligwAtilde AacuteAElig_aIumlpoundUodUp il|WoqUacuteumltul|-odshyNtildeshyFU~tR4lrRtcodTldix4shyl not vampgvipv v rsldrRtcod ) iquest dividedugravez^+ydivideddividez Iuml[cedil4frac145frac34LiquestszligyIumliquestdIumlyen-Auml|Aringraquo~ordmiquestampfrac14raquoiEcircagrave0Iumlampagravesup1currenfrac34LAtildecedil4] dividedugravedugraveuacute iquest `aacutesup1raquosup1IgraveNtildeAring~Igrave Ecircsup1AEligwAgrave cedilsup1Igrave(sup1raquo~frac14Aacutesup1Auml|raquosup1raquoOgraveregAumldcedilIgravefrac14Aacutesup1AumldraquoAgrave5frac12Aring~AEligqAacuteAtildecedilsup1raquo~ordmI]Igrave(AumlUEcircAtilde5frac12sup1raquo~ordmTfrac14raquoiEcircOslashecircLAringifrac14raquoUAacutesup1Ocircfrac14ZAacutesup1Auml|raquoOslashCcedilgsup1currenAacuteIcirc ordm|frac14dAringAEligwAEligIgrave(sup1currenicircAacuteAringcedilAtilde5AElig_aIumlTigraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquest=atildePIumliquest=aacuteIacuteIumlkZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestEgravefrac14raquoiEcirc[NtildeIuml=agrave9Aring~EacutePAtildecedilwAacute4] dividedugrave|ugraveUuacute frac14Uiquest` agrave EumliacuteatildeUAacuteAtilde5Ouml frac14dfrac12ordm|Aumlcedilsup1currenAacuteIcirc~IgraveAring~AEligwsup1raquoordmcedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtilde=Agrave5Auml|raquoLAacuteAuml|AringcedilAEligeOgraveuAumldcedilAcircUsup1EcircAtilde5AumlAuml|EacuteUbrvbarqAtilde5Agrave AacuteAElig=EcircAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoSaIuml~igraveraquo13]psect xw j x4 sect odpDumlqo odUacutex4shy(l not v9Pl| ~tu5op j rRtushyvwdtclNtildex4rv pwlnrRtKndvy]v pntc4v IumliETHWfrac14dIgrave(OumlPAtilde cedilAtilde|iquestieacuteWsup1raquofrac12Yacutefrac14raquoiEcirc]Iumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquestUatilde]IumliquestUaacuteIacuteIumlUZ=frac14cedilfrac12frac14dAring~EcirciquestUfrac14raquoiEcirccopy[NtildeIumlUagrave9Aring~EacutePAtildecedilwAacute4] dividedugravedugraveuacute EacuteiquestA` szlig9Atilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14AgraveAacutesup1AcircnAtildegAgrave5Auml|raquoLAacuteAumldAringcedilAEligOgraveuAumldcedilAcircUsup1YacuteEcircAtilde5AumlaringAuml|EacuteUbrvbarqAtilde5Agrave AacuteOtildeAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo Ccedilgsup1currenAacuteIcircaAgrave5frac14dIgrave(Atildecedil4frac14OslashAgrave5AumldIgrave(OumlPAtilde5raquo~AEligfrac14ZAacutesup1Aumldraquo13aIumligraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquesteatilde]IumliquestWaacuteIacuteIumlZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestefrac14draquo~Ecirc[NtildeIumlBagraveAring~EacutePAtilde cedilwAacute4] divideugrave|ugraveuacute Agrave|iquestk` g sup1EcircAtilde5AumlUacuteAuml|EacuteUbrvbarqAtildeAgraveAacuteFAEligwAtildeordm|Igrave(Atilde5raquoLAacute4frac14Aacutesup1AumldraquoAring~AEligwsup1raquo~ordmIacuteAtilde5Aring~frac12Atildecedilsup1frac14draquo cedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAElig_aIuml igraveiacuteraquoS] x4rv p ildrRtcodil|yodv pwv P4vIacuteoodshyiUrv paumlumltutcod Iuml g frac14draquoAgrave5Auml|AringAcircnAtildecediliquestehEgravefrac14draquo~frac14|Ecirc~frac14UIumlbyfrac14dAEligwAElig5iquesteaacuteIacuteIumliquestWagrave0Iuml Ucirc sup1currenAacuteUgravesup1raquoiquestWfrac14raquoiEcirctimesTHORNFIumlWETHBAtildecedilOcirc5AumldOumlPAuml|Aringfrac12AumldAElig_] uacute4^ JUiquestk`currenatilderaquoifrac14UgravenAtilde5AElig_]WagraveAgraveAacutesup1AcircnAtilde(Agrave5AumldraquoLAacuteAuml|Aringcedil0Igrave(AumlUEcircAtilde5frac12AElig_aIumlx4~rv p4PldrRtcoPl|WpoundUop4PldWoqodshyiUrv pTumltutcod iquest ndivideUuacuteyUzndivide Iuml

aacuteUacutefrac14dfrac12frac12frac14|Ecircsup1ciquest~szlig0IumliquestedIuml]atildeUAtildeAacuteIcirc~sup1frac14raquoiquest~frac14draquoiEcircZIuml g Atilde5IgraveNtildeAringcedilsup1G] uacute4^z^ UiquestS`atildeUIcircifrac14OumlPAtilde$Igrave(AumlUEcircAtilde5frac12sup1raquo~ordm0Ccedilgsup1AacuteIcirciexclOgraveregcedilAuml|raquoLAacuteOumlcedilAumldOumlifrac14dordm|frac14EumlAacutesup1Aumldraquo13]nfrac14ampfrac12AtildeAcircnAtilde5frac12AEligwAtildeAacuteEgravefrac14Ouml~OumlcedilAumlnfrac14dAgrave4Icirc13aIuml xQ|||~pwld lnrRtcodampodsectgldrRrv p 9Pl| ~tu9ldP j ln4Utreg]vx4~rvu t not v i4v Iordf iquest uacute z yiuacute+r UIuml

aacuteUacutefrac14draquoAEligwAuml|Aringcedilsup1Riquestagrave0Iumlfrac14draquo~EcircdIumlb$Auml|raquocedil4frac14|EcircS] uacute_^J^J^ iquestlaquo`currenaacuteAumldAacutesup1AumldraquoAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo`Ccedilgsup1currenAacuteIcirceumlfrac12Atilde5AcircnAtildefrac120AEligwAtilde AacuteAElig_aIuml igraveraquo13]x4~rv p4PldrRtcoPl|=ov pwv P4vNtildeodUacutex4shyl not vsectEgravepwo4v tu not Iumlcb$AumldEacutePAtilde|iquestednfrac14dOuml~frac14draquoIuml

aacuteAuml|raquoLAacute4frac14dordmdraquoifrac14ZAacuteiquestdIumliquestziexcl0IumlTHORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquestdfrac14draquo~EcircoNtildeIumlZagravegfrac34Ufrac14dAgrave4Icirc~AtildeJ] dividedugrave|ugraveUuacute iquest` agraveOslashcedilAtildeAcircsup1AtildeCcedilaeligAumldOgravePEcircAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeAEligwAringcedilwOgraveufrac14dAgrave5AtildeAElig_]AacuteAuml|OumlPAuml|frac12Aumldordmdfrac34Liquestgordm|AtildeAuml|Igrave(AtildeAacutewcedilwfrac34frac14draquoiEcirc EcircAtildeOgraveuAumlcedilIgravefrac14Aacutesup1Auml|raquoSaIuml x4shyl not vtimesldiOacuteumltutcododshy~rRtreg not0Inot v uacute_qw iquestuacuteugravendivide+y~uacuteugravezq|ugrave Iuml

aacuteAring~IgraveOgraveregAumldcedil4Ecirciquest=THORNFIumlgfrac14raquoiEcircdIumlatildeIcirc~frac14dIcircS] uacute4^ ^ iquest`currenmiddotOumlAacutesup1Igravefrac14frac12$frac14dOumlOumlcedilAumlicircsup1Igravefrac14Aacutesup1Auml|raquoAEligEacuteLfrac34Oumlsup1AtildeAgrave5AtildeCcedilgsup1AEligwAtildetimesAEligwIgrave(AumlLAumlAacuteIcircOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligFfrac14raquoiEcircOslashfrac14dAEligwAEligwAumlLAgravesup1Yacutefrac14ZAacuteAtildeEcircaringAcirc|frac14Zcedilsup1Yacutefrac14ZAacutesup1Auml|raquoifrac14frac12EgraveOumlcedilAumldEacute~frac12Atilde5Igrave(AElig_aIuml odshyNtildeshyFU~tR4lrRtcod~oaeligsectEgraveUpvUacuteldiEgraveni tsvw j ldrreg~v shy(lrRtccurrenshyt iquest rzr4y xJ q Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfa

yenKbrvbarsect =4 acirc $ zmiddotAEligwIcirc~AtildecediliquestdatildePIumlfrac14draquo~EcircdIumlnatildeAtilde AacuteIcirc~sup1frac14draquoS] uacute4^ ziquest` eacutecedilAuml|raquoLAacuteAEligeOumlcedilAumldOumlifrac14ordmnfrac14Aacutesup1raquoordmCcedilgsup1currenAacuteIcircFAgrave5AringcedilAcirc|frac14ZAacuteAringcedilAtildeEumlEcircAtilde5OumlPAtilde5raquoiEcircAtilde5raquoLAacuteBAEligwOumlPAtildeAtildeEcircS]

agravefrac12ordm|Aumlcedilsup1AacuteIcircIgrave(AEligEacute~frac14dAEligwAtildeEcircaumlAuml|raquoiexclampfrac14Igrave(sup1frac12AacuteAumldraquoEumldnfrac14Agrave5Auml|Eacutesup1eacute~AumldcedilIgraveNtildeAring~frac12frac14Aacutesup1Auml|raquoSaIuml poundUodUp4Pl|oqiexcloshyiUrsldrRtcoPl|sect=U~tc ordfenot iquest uacutedivide4yEqE^ Iumlfefrac14cedil4frac14ordm|sup1Auml|AElig5iquestoNtildeIumlfrac14draquo~EcircIacuteszligyIuml]THORNampAtildecedilsup1Agrave4Icirc~AtildeJ] uacute4^z^J^ iquest`s[Atilde5AumlUEcircAtildeAEligwsup1Agravefrac14AgraveAacutesup1AcircnAtildeFcedilAtilde5ordmdsup1Auml|raquo~AElig$OgraveregAumldcedil0Igrave(AumldAacutesup1Auml|raquoTAtilde5AEligqAacutesup1Igravefrac14Aacutesup1Aumldraquofrac14draquoiEcircAacutewcedil4frac14dAgrave4UgraveUsup1raquoordmAaIumligraveiacuteraquoS] x4rv p ildrRtcodil|-ov pwv P4vFodOslashodshyiUrv paumlumltutco Iumleh=AumldcedilwOgraveregAringgt[cedilAtilde5Atilde5Agrave5Atilde|Iumlfefrac14AacuteAtilde5Aringicirc]iquestatilde]Iuml] dividedugravedugrave|ugrave iquestpound`currenatildeOuml~frac14Aacutesup1frac14dfrac12AEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoTAumldOgrave=Agrave5Auml|frac12Aumlcedilysup1Igravefrac14ordm|Atilde5AEligampfrac14dAgrave5Agrave5Aumlcedil4Ecircsup1raquo~ordmAacuteAumlUacuteaacuteTHORNaringOgraveregAumldcedilIgravefrac14dfrac12currenEumlsup1AEligwIgraveaIumlyigraveraquo13] x4~rv p4PlrRtcodPld=od5v pv i vodododpFtu pwl4UtcldPx4shyl not vysectpqo v tu not Iumlatildefrac14dsup1raquoLAacute UumleAacutesup1Atilderaquo~raquo~Atildediquestieacutecedil4frac14raquo~Agrave5AtildedIumlfcedilAtildeAgrave5sup1Auml|AEligwAumliquesteacute=IumlEgravefrac14raquoiEcirc aacuteIacuteIumlcurrenZEgravefrac14cedilfrac12frac14dAring~EcircS] dividedugrave|ugraveUuacute iquest` Z-EumliacuteatildeUOuml~frac12sup1raquo~Atildeaumlfrac14dAgrave Aacutesup1Acirc|AtildeOtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAEligOgraveregAumldcedilOgraveRfrac14AEligqAacuteAcircUsup1EcircAtilde5AumltimesAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIumlOacuteigraveraquo13] x4rv p ildrRtcodil|od5v pv P4vaeligod x4shy(l not vUacutesectpqo4v 4tu not IumlETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1Riquest[cedilAtilde5Atilde5Agrave5Atilde|Iuml

szligAumldraquoOgraveufrac14cedil4EcirciquestszligyIuml] uacute_^J^q iquest` szlig9Atilde5ordmdsup1AumldraquoEumlsEacuteifrac14AEligwAtildeEcircFAEligqAacutewcedil4frac14ZAacuteAtilde5ordm|sup1Atilde5AEligeOgraveuAumlcedil-frac14dAgraveAacutesup1AcircnAtildeEgraveAgraveAuml|raquoLAacuteAuml|AringcedilIgrave(AumlUEcircAtilde5frac12AElig_aIuml x4~rv p4PldrRtcoPl|poundUodUp il|WoqodshyiUrv paumlumltutco I v dividezw iquest divideddividez^+yUdivide uacute Iuml

atildefrac14Igrave(AEligwAuml|raquoiquestzhIumliquestzIumlzZ=frac12frac14raquo~AgraveEumleacuteAtildecedil4frac14AringiEcirciquestJ[NtildeIumldagraveAringEacutePAtildecedilwAacuteiquestfrac14draquo~Ecirc dIumlJregPAtildecedilAring~Eacutesup1frac14I] dividedugravedugrave|ugrave iquest` agrave frac12Atilde5Acirc|Atilde5frac12UAEligwAtildeAacuteIgrave(AumlUEcircAtilde5frac12nOgraveregAumldcedilsup1Igravefrac14ordm|AtildeAgrave5frac12frac14dAEligwAEligwsup1siAgravefrac14ZAacutesup1Auml|raquo13aIuml x4~rv p4PlrRtcodPldpoundUodUp4Pl|BoqNtildeodshyiUrv pOtildeumltreg4tRod shy v Ew iquest uacute r4y~uacute4^Er Iuml

atildefrac14raquo~ordmdCcedilgsup1raquoAtilde|iquest9atilde]IumlEgravefrac14draquo~Ecircszlig0IumlampiexclAumldcedilraquoAtilde v Atilde5EcircAElig5Iuml w ] uacute_^J^ Uiquest ~vIacuteo|odUpaumltushyl not vipqo4v 4tu not ldP|m4oo4uml Iumlh=Icircifrac14dOumlIgravefrac14draquodegmacriexclampfrac14dfrac12frac12RIumlatildeAtildeAacuteIcircsup1frac14draquoiquestdIumlplusmn] uacute4^z^|ugrave iquestU` oAringIgrave(Atildecedilsup1Agravefrac14dfrac12Ufrac14frac12ordm|Aumldcedilsup1currenAacuteIcircIgrave(AEligWOgraveuAumldcedilOumlcedilAuml|Oumlifrac14ordmnfrac14ZAacutesup1raquoordmsup1raquoLAacuteAtildecedilwOgraveRfrac14Agrave5Atilde5AElig_]Jiexclampfrac14dIgrave(sup1frac12currenAacuteAuml|raquoEumldnfrac14dAgrave5AumldEacute~sup1

AtildeecircLAringifrac14Aacutesup1Aumldraquo~AElig-frac14draquoiEcircAgraveAuml|raquo~AEligwAtilde cedilAcirc|frac14ZAacutesup1Aumldraquo(frac12frac14CcedilgAElig_aIuml poundUodUp4Pl|]oqEgraveyen$t lv pv rRtcl| voshyv rRp~ iquest uacute4Uuacutey~uacute x uacute IumlatildeAtildeAacuteIcircsup1frac14draquoiquestAdIuml] uacute4^J^ xiquest kWvndvB]v r j v rregod IumlcurrenhEgravefrac14dIgraveNtildeEacutecedilsup1EcircordmdAtilderaquosup1AcircPIumlAfecedilAtilde5AEligwAElig5Iumlatildesup1Ecirc~Ecircsup1ecircUsup1Riquest4bIumliquest_yenNtildeIumlBfrac14Aring~Ocirc5sup1Gsup2AtildecedilAtilde|iquestagraveyIumlETHWfrac14draquoraquo~Atilde5raquoUEacute~frac14dAring~IgraveUacuteiquest5frac14draquo~EcircNtildeatildePIumlregPAring~Agrave4UgravenAtildecedil4] uacute_^J^ xUiquestE`currenagravegcedilAtildefrac149frac14draquoiEcirc$frac12Atilde5raquoordmdAacuteIcircyIgrave(sup1raquoEuml

sup1Igrave(sup1Ocirc5sup1raquoordm sup3iAumlCcedilgAEliggOgraveuAumldcedilAEligwIcircifrac14OumlPAtildeyAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo13aIuml xQ|||~pwl~ lnrRtcodoOtildex4shyl not vsectEgravepwo4v tu notordf v Ew iquest qEz+yqzqE Iumlyen=AtildeOcirc5Ocirc5sup1RiquestagraveyIumliquest5agrave0Iuml5ETHEgraveAEligfrac14dsup1Riquestfrac14draquo~Ecirc$agrave0Iuml Ucirc sup1frac12frac12AEligwUgraveLfrac34] uacute4^z^J^ iquestJ` agraveaeligAEligqAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12Ufrac14dOumlOumlcedilAumlnfrac14Agrave IcircampAacuteAumlgAEligwraquo~frac14dUgravenAtilde5AElig]OgraveuAumlcedilWEacutesup1Igrave(AumlUEcircfrac14dfrac12frac14draquoiEcircAacutewcedilsup1Igrave(AumlUEcirc~frac14frac12isup1Igravefrac14dordmdAtildecedilwfrac34aIumligraveraquo13] x4rv p ildrRtcodil|eodv pwv P4vyodx4shyl not vgsectpqo v tu not IumlAb$AumldEacutePAtildednfrac14dOuml~frac14draquoIumlreg]IcircUAringiquest]atilde]Iumlfrac14raquoiEcircaumlagrave0Iumleyen=Aringsup1frac12frac12AtildeJ] uacute_^J^ xUiquestpound` szlig9Atilde5ordmdsup1AumldraquotimesAgrave5AumldIgrave(OumlPAtildeAacutesup1currenAacutesup1Auml|raquo13]iAring~raquo~sup1currenOgraveYacutefrac34sup1raquoordmiexclAEligwraquo~frac14dUgravenAtilde5AElig5iquestPcedilAtildeordm|sup1Auml|raquoTordmdcedilAumlCcedilgsup1raquo~ordmiquestfrac14draquoiEcircZEgravefrac145frac34LAtilde5AEligacute|aacuteTHORNOgraveregAumldcedilIgraveFAring~frac12currenAacutesup1Eacuteifrac14raquoiEcirc sup1Igravefrac14ordm|AtildeTAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo13aIuml xQ|||micro~pwld lnrRtcodtimesosect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4v Icent iquesteJ q+yU^dugrave|ugrave Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfo

i $amp)(+-)013021+345627893lt=gt9A6CBfrac12OcircacuteIshyNT

frac12OcircacuteIltNTpara frac12frac34EMeJaumlQcYZYZjJUacuteQsY H [ ^QEgraveJLhZJUO H QcN H J H MeJordfXiacute[]fcfR[WQcO[Oslash^e[]ZaringNPQsOXiacutejOb H QR[]ONPfdaringocirc|adOuml times jOcircaacute uuml times a2atildeltszligaumlgtszliglOuml times j atilde auml

G QsObnJ H MJeumlYZJ H [SXIacuteNPfcfUacute^e[]ZaringNPQsOYMNPY Oe[ H N Y H hjb H jhZJ`[SXUPJUb H [PhQcNPfOtildeYZKNPbnJSefRJ H jYZ N`PJ H MeJeumlhZJ[]QR[]OYJUP[]fVUPJ H MehZ[]j[]M NrXqNSZaringQcfVm [SX H hNPOYYX[PhlZ N H QR[]OYa(|aagraveszlig jj emiddot iacuteaumlYlZOslash[[ H MaNPO^ centQ ~JUb H QVUPJS^ not [PhNOslashKEgrave[]QcO H $ aacute atildeshyszligaumlN eFWFJTOe[ H JSaring$ aagravej|aacutemiddot|aagraveszlig $ j WiexclQ H M |a s szlig $ jaacute $OumlcopytimesaagravejOcircaacutemiddot|aagraveszliglOumlutimesdj WiexclQ H M |a s szliglOumlcopytimesAjOcircaacuteAumlOumlutimes9J H jY H MeJUO^JOeJ H MeJordfUPJUfR[WbLQ H moUPJUb H [PhdY JUfs^kfrac12 YZjbM H MN H aringfrac12sup1aagraveszlig $ aagravejj|aacute aelig |aelig agrave aagraveszlig $ j YlaquoXiacuteNiharingNPY H MeJ bn[]ZOslashKj H N H QR[]O[SX H MeJ ^eJLhQU~N H QVUPJ QcYOslashbn[]ObnJLhOeJU^OeWFJNihZJQcOWVH JLhZJUY H JU^ QcO YYZaringNPfcfOtilde^JX[PhlZ N H QR[]OY^ J H MBjYJkWKNPO^ H MeJ H hNPOYX[PhZaringN H QR[]ONPbLbn[Ph^QcO[ H [hdY H [Ph^eJLh NmWfR[PhyacuteXiacute[PhlZtimesjfcNaring|aagraveszlig $ jpoundaacuteAElig|a s szlig $ j agrave aelig |aelig agrave a s szlig $ jaacute $ ragrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacute frac14 frac14 a s szlig $ j^ J H MeJUOQcO H hZ[W^jbnJ H MehZJLJgZ NPQcO^eJOQ H QR[]OYaringf^QMeJg0jfRJLhQcNPO^eJLhQU~N H QVUPJOtilde[SXocirc|adOuml times jordfaqQcO H MeJIacute^QRhZJUb H QR[]O[SXcedilfrac12jaring ocirc|adOumlcopytimesszlig_frac12jOcircaacutefcQZUcedil iacute ocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave admacrfj ^QMeJgZaringN H JLhQsNPfg^eJLhQVUiN H QVUPJOtilde[SXuumlStimesYa $ szliglOumlcopytimes)jaringsup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j|aacutefcQZUcedil iacute uumlStimesa $ ragrave3frac12ba $ jszliglOumlutimes agrave3frac12sup1a $ jj uuml]timesa $ szliglOumlcopytimesdjagrave admacr j^QMeJaumlYZMNiKEgraveJOtilde^eJLhQU~N H QVUPJOtilde[SXOcircuuml]timesa $ szliglOumlutimes)jaring

uumlnotraquotimes a $ szliglOumlcopytimesUcircszlig_frac12 jaacutefcQZUcedil iacute uumlStimesYa $ szliglOumlutimesragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave admacrS]j

uumlnyacutenthornnyumll13YSordmY_Fordfy

yenKbrvbarsect =4 acirc $ hq centUWQR[]jYZfVmSe-centmaJkBKNPO^QcO[ admacr jUacuteNPbLbn[Ph^QcOF[ H [hdY H [Phd^eJLhordfNmBfR[PhordfXiacute[PhlZtimesjfcNeWFJaumlMNUPJSaring sup1uumlStimesYa $ szliglOumlcopytimesUcircszlig_frac12 jaacuteAumluumlnotraquotimes a $ szliglOumlcopytimesszlig_frac12jhuumlStimesa $ szliglOumlcopytimes)j frac12sup1a $ j admacrj J H MeJUOabn[]ZOslashK-j H JZOslash[PhJaumlKhZJUbLQcYZJUfVm H MJ0jfRJLhQcNPO ^eJLhdQVU~N H QUPJauml[SXcopyocirc|adOumlcopytimesdj^ JMNUPJSaringocircOcircadOumlutimesaagravejj ocircOcircadOumlutimes)jagrave aacute fagrave = thorn yuml uuml times a $ aagravejszliglOuml times aagravejj $ uuml times a $ szliglOuml times j $ FH admacrSmacr]j5O H MJohY H QcO H J[PhdNPfdeltWFJZaringN`PJ H MeJU~NihdQcNicentfRJ bMNPO[PJ $ aagravejaacute $ agrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacuteethicirc7a2atildeshyszligaumlFjszligicirc cent a2atildeltszligaumlj eWMQcbdM[]QVUPJUYaring thorn yuml uuml]timesYa $ aagravejszliglOumlcopytimesYaagravejj $ aacute admacrS]j

5 uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlutimes agrave3frac12sup1a $ jjlt^eJ H ocirc a $ jlt $WMJLhZJocirc a $ jQcY H MeJgXiacute[]fcfR[WQcO[aringSNPbn[PcentQcNPOtZaringN H hdQkKaring

ocirc a $ jaacute oacute fcedilxagrave frac14 iacute oslashfrac14Uordm agrave frac14 iacute oslashfrac14 ugraveagrave frac14 iacute acircfrac14ordm fcedil agrave frac14 iacute acircfrac14 ugrave ocircNPO^ YZ[eFWNtildeJIacuteMNUPJSaring

^eJ H ocirc a $ jOcircaacute fUragravee^QVUKafrac34frac12sup1a $ jjragrave cent ^eJ H amacr frac12sup1a $ jjMJUOWNtildeJauml[Pcent H NPQcOOaring

fsQZcedil iacute ^eJ H ocirc a $ j fagrave aacute ^QVUKafrac34frac12sup1a $ jj admacr]zSjMJJBjN H QR[]OxadmacrSmacr]j H MeJUOcent=JUbn[]ZaringJUYaringocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave aacute fagrave middot uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jjlt 13raquo ocirc a $ jlt $ uumlStimesa $ szliglOumlcopytimesAj $ admacrSi]j JTbLNPO`YZjeKKEgrave[]YJ H MN H ^eJ H aocirc a $ jjfrac14aacute sfrac12 agrave frac12 $ ^ JZaringNm H MeJUO H N`PJ^eJ H aocirc a $ jjfrac34 s eNPO^ WNtildeJ ^eJUPJUfR[PK H MeJaJkWKhZJUYYZQR[]OadmacrSi]j NPYoX[]fsfR[WQsO[centmNP^^QcO[aringN H JLhZ QcO H MeJIacuteYZJUbn[]O^aQcO H J[PhNPfltWMQcfcJaumlYZjeKKhJUYZYZQcO[ H MeJtimesYZNSZOslashJ H JLhlZQcO H MJordfhY H QcO H J[PhNPfdaring ocirc|adOumlcopytimesYaagravejj ocirc|adOumlcopytimes)jagrave aacuteegraveOtildef1rOtilde cent admacrSh]j

uumlnyacutenthornnyumll13YSordmY_Fordf

s $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJSaring

Otilde aacute uuml]timesa $ ragrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave ^eJ H aocirc a $ jj $ ad s jOtilde cent aacute uuml]timesa $ szliglOumlcopytimesdj ^eJ H aocirc a $ jj fagrave $ adfj

9J H jY_ZaringN`PJordmagrave H JUO^ H [WNih^Y s ^curreniquestYZQcO[frac34admacrjiexclNPO^JOQ H Qc[]OYadmacr e macrS]jeWFJ[PJ H aringfcQZUcedil iacute Otilde aacute sup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j $

aacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ uuml times a $ szliglOuml times j frac12sup1a $ j $fcQZUcedil iacute Otilde cent aacute uuml]timesa $ szliglOumlcopytimesdj^QVUKafrac34frac12 j $

O^ Y[Xiacute[Ph H MeJgNtildejfRJLhQsNPO ^eJLhQVUiN H QVUPJSeWFJgO^Oaring ocirc|adOuml times szlig_frac12jumlaacuteyacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ amacrreguumlStimesYa $ szliglOumlcopytimes)j frac12sup1a $ j7 uuml]timesYa $ szliglOumlcopytimes)j^QVUKafrac34frac12sup1a $ jjj $aacute uumlnotraquotimes a $ szliglOuml times szlig_frac12j $ ^QVUKaduuml times frac12j $ ad j

MeJUO NiKKfVmWQcO[ H MJ hJLJUOWVAQRJZ NPOO H MeJL[PhZJZQcO ad jeWNtildeJ5ONPfcfmtimes[Pcent H NPQcOOaring ocirc|adOumlcopytimesszlig_frac12jOcircaacute uuml raquotimes a $ szliglOumlcopytimesUcircszlig_frac12j $ uacutefrac14 5 uuml]timesYafrac34frac12 eacuteAgraveiquestsup1AacuteAtildeAcircj THORN adS]jWMJLhZJ5eacuteAgraveiquestsup1AacuteAtildeAcircyQcY H MeJUacutejOQ H QcOOgraveWNih^ Oe[PhlZaringNPf H [ aelig OumlcopytimesUcirc^MeJ_NtildejfRJLhQcNPO ^eJLhQVUiN H QVUPJQcY(O[ H JU^ ocirc raquo aagravej(QcO H MeJaumlKNiKEgraveJLhNPO^ H MeJaumlYZMNiKEgraveJauml^eJLhQU~N H QVUPJyuuml raquotimes QcY(Oe[ H JU^ frac14 frac14 ^iquest acutemicrosup1cedilFLft not [PhyYQZOslashKfcQsbLQ H mSeWNtildeJ(bM[[]YJ H MeJcopyXiacute[]fcfR[WQcO[_U~NihQsN H QR[]OaeligQcO H MeJKhZ[B[SXaring$ aagravejaacute $ agrave3frac12sup1a $ j^MJiexclKh[[SXZaringNm NPfcYZ[IacutecentEgraveJiexcl^JUPJUfR[PKEgraveJU^WiexclQ H MZaring[PhZJ_[PJUOJLhNPfUiNihQcN H QR[]OYFYjbM NPYaring $ aagravejaacuteAacuteAgravea $ szligYagravejWQ H MAcircAgrave`NOslashYYZOslash[B[ H MXiacutejOb H QR[]ONPO^AcircAgravea szligYagravejcentQ ~5JUb H QVUPJS^

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ ffrac12OcircacuteIshyNT AcircE J(MNUPJ H [Otildebn[]ZOslashK-j H J H MJNtilde^QEgraveJLhZJUO HH JLhZaringY9[SXQa macr]j9QsOauml[Ph^eJLh H [Uacute[Pcent H NPQcO H MeJ

JUP[]fcj H QR[]OJBjN H QR[]O[SX H MeJ NPb H QUPJ bn[]O H []jehX[Ph H MeJ ^JUYZbnhQRK H [PhdYaumlcentNPYJU^Oacute[]OH MeJ(bn[U~NihQsNPObnJ ZaringN H hQVktimes^eJ H JLhlZ QcONPO H a2Ograveh]j^OgraveMeJ(bn[]ZOslashKj H N H QR[]OaringQcYampKEgraveJLhYXiacute[PhlZOslashJU^Xiacute[Ph H MeJIacute^eJUYZbnhQRK H [Ph_uuml thorn timesOslash yuml ^ q centUWQR[]jYZfmSeN YZQZ QcfcNihbn[]ZOslashKj H N H QR[]OabLNPOacent=JIacute^e[]OeJXiacute[PhOcircuuml thorn UgraveUcircUacuteUuml yuml ^ JiexclbLNPOaeligJkBKhJUYZYOcircuuml thorn timesOslash yuml NPYyNUacutebn[]ZTcent-QcON H QR[]Oaelig[SXgtXiacutejOb H QR[]OYamp^eJLKEgraveJUO^QcOF[[]O H MJOtildehZJ[]QR[]OwOuml timesOslash aring

uumlgtthorn times Oslash yuml a2atildeltszligaumlgtszligYagravejaacute`Ograveoacute m thorn timesOslash yumlaIgraveagrave thorn timesOslash yumlAtilde j cent ocirc adjWMJLhZJordmaacuteAuml85eWiexclQ H MAring8 H MeJordfXqjOb H Qc[]O QcO H h[B^jbnJU^ QcOpounda2Ograveh]je-NPO^aringm thorn timesOslash yuml aacute agrave thorn timesOslash yuml agrave thorn timesOslash yumlcent agrave thorn timesOslash yuml agrave thorn timesOslash yumlAElig agrave thorn times Oslash yumlCcedil agrave thorn timesOslash yumlEgrave agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlEgrave j cent agrave thorn times Oslash yumlcent aIgraveagrave thorn timesOslash yumlCcedil j cent agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlAElig j centWQ H MOaring EFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFH

agrave thorn timesOslash yuml aacute w$ thorn yuml aOtilde S times Oslash j cent atilde aumlagrave thorn timesOslash yumlcent aacute w$ thorn yuml aOtildeOgravecent Scenttimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yuml aacute w$ thorn yuml aOtildeS Stimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yumlAElig aacute w$ thorn yuml aOtilde S times Oslash jaOtildeOgravecent ScenttimesOslash j atilde aumlagrave thorn timesOslash yumlCcedil aacute w$ thorn yuml aOtilde S times Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlEgrave aacute w$ thorn yuml aOtilde cent S centtimes Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlAtilde aacute w$ thorn yuml atilde auml O^ Y[ H MJordfXiacutejOb H QR[]OY aelig thorn timesOslash yumlauml MNUPJ H MeJgXiacute[]fcfR[WiexclQcO[aeligJkBKhZJUYZYZQR[]OYaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

aelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlcent aacute aOtilde cent S centtimesOslash j centaelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlAElig aacute aOtilde S timesOslash jaOtilde cent S centtimesOslash jaelig thorn times Oslash yumlCcedil aacute aOtilde S timesOslash jaOtilde S timesOslash jaelig thorn times Oslash yumlEgrave aacute aOtildeOgravecent ScenttimesOslash jaOtilde13 StimesOslash jaelig thorn times Oslash yumlAtilde aacutemiddotf

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBnot h[]Z H MeJUYJaumlJkWKhZJUYYZQR[]OYeWFJOtildeJUNPYZQcfm ^eJU^jbnJ H MN H aring

$ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde aumlregaacute sEacutefrac12poundEcirc iuml

J H MeJUO MNUPJ H [Tbn[]ZaringKj H J H MeJ H JLhlZaringY eacute thorn times Oslash yumlauml XiacutehZ[]Z H MeJJkWKhZJUYZYQR[]OYamp[SXagrave thorn timesOslash yumlauml eWMQcbM fRJUNP^Y H [aringEFFFFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFFFFH

eacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideoslash aacute w$ thorn yuml uacute ouml $ordfdivideacirc uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIgrave yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H a timesOslash jjeacute thorn timesOslash yumlcent aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideacirc

aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIcirc yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideEuml aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideacirc thorn thorn uacute ouml $_divideIuml yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yumlAElig aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIuml aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideEuml uacute ouml $ordfdivideIuml thorn uacute ouml $_divideIcirc uacute ouml $ordfdivideIgrave yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlCcedil aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIcirc aacute w$ thorn yuml cent thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideacirc uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlEgrave aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIgrave aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideoslash uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlAtilde aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIacute aacute w$ thorn yuml thorn +ETH ouml $_dividethorn uacute ouml $ordfdivideIacute yuml Iuml 8 raquo aq^J H a timesOslash jj

O^centmJkWKhZJUYZYZQsO[ H MeJbn[UiNihQcNPObnJZaringN H hQVkpoundWQ H M H MJregXqjOb H QR[]OYagrave thorn timesOslash yumlauml NPYXiacute[]fcfR[WQcO[aring

timesOslashlaquoaacute 1NtildeNtildeNtildeNtildeNtildeNtilde3uacute ouml $ordfdivideoslashuacute ouml $ordfdivideIacute uacute ouml $_divideIumluacute ouml $_divideIacute uacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIumluacute ouml $ordfdivideIacute uacute ouml $_divideacircuacute ouml $_divideIacute uacute ouml $ordfdivideIgraveuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacute uacute ouml $_divideIgraveuacute ouml $_divideIacute uacute ouml $ordfdivideEumluacute ouml $ordfdivideIacute

6OgraveOgraveOgraveOgraveOgraveOgrave7 J H MJUO^eJU^jbnJSaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

eacute thorn times Oslash yuml aacute a fj thorn yuml ^eJ H aDC Ptimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlcent aacute a fj thorn centcent yuml ^eJ H aDC centcenttimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yuml aacute a fj thorn curren yuml ^eJ H aDC 4times Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlAElig aacute a fj thorn cent yuml ^eJ H aDC centtimes Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlCcedil aacute a fj thorn curren yuml ^eJ H aDC times Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlEgrave aacute a fj thorn centcurren yuml ^eJ H aDCcent4times Oslash j48 raquo aq^eJ H a timesOslash jjeacute thorn times Oslash yumlAtilde aacute amp^eJ H a timesOslash j48 raquo aq^eJ H a timesOslash jj

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ SWMJLhZJC EBtimesOslash QcY H MeJgZaringN H hdQk ^eJU^jbnJU^Xh[]ZOacutetimesOslasharingcentm YZjeKKhZJUYZYZQcOF[ H MeJyuuml UumlON hZ[WNPO^ H MJ I UumlON bn[]fcjFZaringOO^]MeJbn[]ZOslashKj H N H Qc[]OordmX[Ph H MeJ^eJUYZbnhdQRK H [Ph|uuml thorn UgraveUcircUacuteUuml yuml QcYyYQZaringQcfcNihNPO^WFJ H MeJUOOslashMNUPJNPfcf H MeJ(JkWKhZJUYZYZQc[]OY H [aumlbn[]ZOslashKj H J H MeJJUP[]fcj H QR[]OaeligJjN H QR[]OXiacutehZ[]Z H MeJg[PJUOJLhNPfOXiacute[PhlZIacutejfcNta macr]j^gtMQcYcopy[]QVUPJUY H MeJTJUP[]fcj H QR[]O JBjN H QR[]Osup1admacr s j^

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBΩ out

Objects

Γ

inΩ

inΩ

Background Part

-t not Upv copy ETHEgraveIcircAtildeampAacuteiacuteCcedil=AumlFcedilAtilde5ordm|sup1Aumldraquo~AElig9AumldOgravefrac14raquoUacutesup1Igravefrac14dordm|Atilde

Ω

Ω out (τ)Ω

(τ)in

N

Γ(τ)

Ω

N

v

w

N

-t not Upv ETHEgraveIcircAtildeyEcircAumldIgravefrac14dsup1raquo~AEliggfrac14raquoiEcircAacuteIcircAtilde$AcircnAtilde5AgraveAacuteAumlcedilAEliggsup1raquoUAcircnAumldfrac12AcircnAtildeEcircsup1raquoiexclAacuteIcirc~Atilde$EcircAtildecedilsup1Acirc|frac14ZAacutesup1Aumldraquo

uumlnyacutenthornnyumll13YSordmY_F2ordf

yenKbrvbarsect =4 acirc $ Smacr

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 Atilde|IumligraveAacuteAtildecedil4frac14ZAacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvyzU eacuteWsup1ordm|AringcedilAtilde5AEligfrac14iquest Eacuteiquest AgraveJ]iUumlAcircnAumldfrac12AringAacutesup1Auml|raquoOtildeAumlOgraveeAacuteIcirc~Atildeyfrac14dAgrave Aacutesup1Acirc|Atilde0AgraveAuml|raquoLAacuteAuml|AringcedilIgravefrac14raquoifrac14ordm|AtildeEcircUacuteEacuteLfrac34AacuteIcirc~AtildefTHORN$Uuml v qzqwsup1raquo~Agrave5frac12AringiEcircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquoifrac14frac12ampAacuteAtildecedilIgrave(AElig5IumlgeacuteWsup1ordm|AringcedilAtilde5AEligOtildeEcirc]iquest Atildediquest Ograve] g sup1AEligwAringifrac14frac12sup1Ocirc5frac14Aacutesup1Auml|raquo`AumldOgrave0AacuteIcirc~AtildeTAgrave5AumldcedilwcedilAtilde5AEligwOumlPAumldraquoiEcircsup1raquoordmAcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 OgraveuAring~raquoAgraveAacutesup1Auml|raquosup1raquo~Agrave5frac12Aring~Ecircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquo~frac14dfrac12ampAacuteAtildecedilIgrave(AEligraquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirc EacutePAtildeAacuteiacuteCcedil=Atilde5Atilde5raquo ugrave frac14draquoiEcirc divide JUiquestAEligwAring~Agrave4IcircTAacuteIcirc~frac14Aacute$AacuteIcircAtilderaquo~Atilde5ordm|frac14Aacutesup1AcircnAtildeAcircdfrac14dfrac12AringAtilde5AElig0frac14cedilAtildefrac12AumlCcedilEgraveAtildecedilyAacuteIcirc~frac14draquo uacutedivide Uacutefrac14raquoiEcircaumlAacuteIcirc~AtildeOumlPAumldAEligwsup1Aacutesup1AcircnAtilde(Aumldraquo~Atilde5AEligyfrac14ZcedilAtilde(Icirc~sup1ordm|IcircAtildecedilAacuteIcircifrac14raquo uacuteZdivide Iuml

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

Ecirc]Iumligraveraquo~sup1currenAacutesup1frac14dfrac12BAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 Atilde|IumligraveAacuteAtilde cedil4frac14Aacutesup1Auml|raquo ugravedugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not Upv ucirc eacuteWsup1ordmdAringcedilAtilde5AEligtimesfrac14iquest Eacuteiquest AgraveJ]ampUumlAcirc|Auml|frac12AringAacutesup1Auml|raquoAumlOgrave(AacuteIcirc~Atildearingfrac14AgraveAacutesup1AcircnAtildeOslashAgrave5Auml|raquoLAacuteAumldAringcedilIacuteIgravefrac14draquoifrac14ordm|AtildeEcirc`EacuteUfrac34AacuteIcircAtildeOcircfTHORN$Uumlv q w iquestiexclCcedilgsup1currenAacuteIcirc~AumldAringAacuteAacuteIcirc~Atildefrac14dEcirc~Ecircsup1Aacutesup1Aumldraquoifrac14dfrac12TAacuteAtildecedilIgrave(AElig5IumliexcleacuteWsup1ordm|AringcedilAtildeAElig Ecirc]iquest Atildediquest Ograve] g sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo AumlOgraveaeligAacuteIcirc~AtildeAgraveAumldcedilwcedilAtildeEumlAEligwOumlPAuml|raquo~Ecircsup1raquo~ordm AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 OgraveregAring~raquo~Agrave Aacutesup1AumldraquoeumlCcedilgsup1currenAacuteIcirc~Auml|AringAacuteIacuteAacuteIcircAtilde frac14|Ecirc~Ecircsup1currenAacutesup1Aumldraquoifrac14frac12FAacuteAtildecedilIgrave(AElig v raquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirceumlAEligwAring~Agrave4Icirc AacuteIcirc~frac14AacuteIgravefrac14icirc vOOtilde wpOumldivide z w Iuml

uumlnyacutenthornnyumll13YSordmY_F2

S $amp)(+-)013021+345627893lt=gt9A6CB

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIumligravesAacuteAtildecedil4frac14Aacutesup1Aumldraquogt ugrave|ugrave AgravedIumlieacuteWsup1raquoifrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12Acirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 AtildedIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIumlieacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvtimesLg sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo(AumldOgravePAacuteIcirc~AtildeAtildeAcircnAuml|frac12AringAacutesup1AumldraquoAumldOgravePAacuteIcircAtildeEgraveAgrave5Auml|raquoLAacuteAumldAringcedil-frac14draquo~EcircNtildeAacuteIcirc~AtildeEgraveAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 v Ccedilgsup1AacuteIcircAuml|AringAacuteAacuteIcircAtildeEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircFAacuteAtilde cedilIgrave w OgraveregAumldcedilEgraveAacuteIcircAtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoAumlOgraveAacuteIcircAtilde9Ograveufrac14dAgrave5AtildeAring~AEligwsup1raquo~ordmyAacuteIcirc~Atilde9Agrave5AumlZAcirc|frac14Zcedilsup1frac14draquo~AgraveAtildeIgravefrac14Aacutewcedilsup1currenicirc]Iuml

frac14Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcircnAtilde EacuteIumligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 v AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde w Agrave|Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacutefrac34 v Acircdfrac14cedilsup1frac14draquoAgrave5Atilde w-t not Upv h=AumldIgrave(Oumlifrac14cedilsup1AEligwAumldraquoOtildeAumldOgraveAacuteIcirc~Atilde$sup1raquo~sup1currenAacutesup1frac14dfrac12eAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34iexclAgrave5Auml|Igrave(OumlAringAacuteAtildeEcircAringAEligwsup1raquo~ordmAacuteIcirc~Atilde$AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde0Igravefrac14Aacutewcedilsup1currenicircv iordmdAringcedilAtildeFEacute w AacuteAumliexclAacuteIcircAtildeAuml|raquoAtildeFAgrave5AumldIgrave(Ouml~AringAacuteAtildeEcircTAringAEligwsup1raquo~ordmiexclAacuteIcircAtildeFAcircdfrac14cedilsup1frac14draquoAgrave5Atilde v ~ordm|AringcedilAtildeFAgrave w OgraveregcedilAumldIgrave AacuteIcirc~AtildeNtildeAEligfrac14dIgrave(Atildesup1raquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcirc|Atilde v iordmdAringcedilAtilde$frac14 w Iuml

uumlnyacutenthornnyumll13YSordmY_F2_a

yenKbrvbarsect =4 acirc $ ]z

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv Oslash| THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5AtildeccediliacuteAtildecedilsup1UgraveUegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_o

Si $amp)(+-)013021+345627893lt=gt9A6CB

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv ordf THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5Atildeccedilqfrac14dUgraveUsup1currenfrac34LAumldegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_y

RR-0114-SJEHANpdf
  • wwwi3sunicefr
    • httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf
Page 36: LABORATOIRE INFORMATIQUE, SIGNAUX ET SYSTEMES DE …mh/RR/2001/liste-2001.pdf · 2002. 6. 27. · [Dir01] DIRAT L. “Outils pour des Mathématiques Interactives et Distribuées”

$amp)(+-)013021+345627893lt=gt9A6CBh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34LiquestBagraveyIumlWfrac14raquoiEcircidIumlBTHORNampAringraquo~Agravefrac14raquo13] uacute4^z^J^ iquest`[ampfrac14Igrave(AtildeEumlcAacuteIcirc~Atilde5AumlcedilAtildeAacutesup1Agrave(sup1raquoUAacuteAtildeordmdcedil4frac14Aacutesup1AumldraquoaeligOgraveuAumldcedil0sup1Igravefrac14dordmdAtildeAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIuml xQ|||~pwl~ lnrRtcodNtildeodiexclsect9lrRrv p auml9Pl| ~tuyldi j l|4Utu]vx4~rvreg t not v P4v Iumlh=Icircifrac14UgraveUcedil4frac14EacutePAumldcedilwAacutefrac34Liquestgagrave0IumliquestIumlgatildeUAacute4frac14dsup1Eacuteiquest9frac14draquoiEcircdIuml9THORNampAringraquo~Agravefrac14raquo13] uacute_^J^ xiquest` THORNampAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeIacuteEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34iraquo~Ecircsup1raquo~ordmsup1raquoIgrave(AtildeEcircsup1Agravefrac14frac12iexclsup1Igravefrac14ordm|Atilde5AEligaringEacuteLfrac34Oacutesup1raquoLAacuteAtilde5ordmcedil4frac14Aacutesup1raquo~ordm ordmdcedil4frac14|Ecircsup1Atilde5raquoLAacute frac14raquoiEcirccedilAtilde5ordm|sup1Auml|raquo sup1raquoOgraveuAumldcedilIgravefrac14ZAacutesup1Auml|raquo13aIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu notI iquesteE ^4y rdugrave Iumlh=Icircifrac14raquoiquestBETHIumlWfrac14raquoiEcircIuml g Atilde5AEligwAtildeJ] dividedugravedugraveuacute iquest` agraveAgraveAacutesup1AcircnAtildeFAgrave5Auml|raquoLAacuteAuml|AringcedilAElig$Ccedilgsup1AacuteIcircAuml|AringAacuteNtildeAtilde5Ecircordm|AtildeAElig_aIuml xQ||k|~pwld lnrRtcododUacutex4shy(l not v9sectpqo4v 4tu notuU v divideJw iquest divide xJx ydividezrJr Iumlh=Icirc~Atilde5AEligwraquo~frac14dAring~EcirciquesthIumliquestfWIuml=szligAtildeOgraveYacutecedilIAtilde5ordm|sup1Atildecediliquestfrac14draquoiEcirc g Iuml5Z=AumldAring~frac12AtildeAacute4] uacute_^J^z^ iquest`currenatildeUAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12cedilAtilde5ordmdsup1AumldraquoAEligwraquoifrac14dUgrave|AtildeEumlsEacuteifrac14dAEligwAtilde5EcircAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquofrac14|Ecircfrac14dOumlAacuteAtilde5EcircFAacuteAumlyEcircsup1s]AtildecedilAtilde5raquoLAacute-Ouml~IcircLfrac34AEligwsup1Agrave5frac14dfrac12~raquoAuml|sup1AEligwAtilde9Igrave(AumlUEcircAtilde5frac12AElig_aIuml xQ||k|~pqld~ lnrRtco~$osect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4vt iquest uacute|uacute_q y~uacute|uacute xIumlh=Auml|IcircAtilde5raquoiquestIuml] uacute4^z^uacute iquest`currenmiddotraquofrac14dAgrave Aacutesup1Acirc|Atilde Agrave5AumldraquoLAacuteAuml|AringcedilIacuteIgrave(AumlUEcircAtildefrac12AEligtimesfrac14draquo~EcirceumlEacuteifrac14dfrac12frac12AumlLAuml|raquoAElig_aIuml odshyiUrv pumltutcod pwl Utc0ldix4shyl not vsectEgravepwo4v tu not x4shyl not vOtildePnv p rsldidtu not) iquest divideUuacuteduacuteydivideLuacute UIumlh=Auml|IcircAtilde5raquoiquestSIumliquestUumlIuml13ZEgravefrac14cedil4Ecircsup1raquo~AtildeAacuteiquestfrac14raquoiEcircoNtildeIumlagrave9frac34Lfrac14dAgrave4Icirc~AtildeJ] uacute_^J^z iquest`atildeUAringcedilwOgraveufrac14dAgrave5Atilde0cedilAtilde5Agrave5Auml|raquoAEligqAacutewcedilAring~AgraveAacutesup1AumldraquotimesAring~AEligwsup1raquoordmfrac14AgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilaumlIgrave(AumlUEcircAtilde5frac12AElig_aIuml igraveiacuteraquoS] Lsect=xQ|od5v pv P4v od vwodshy(v rRp tc j v rregodtimestuodshyiUrv pumltutco Iuml~atildefrac14raquoUacuteTHORNampsup1Atilde5ordm|AumliquesthEgraveagraveyIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquestEgraveUumlIuml] dividedugrave|ugravedugrave iquest`currenatildeAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquo Ouml~frac14cedilAgrave5Auml|raquoLAacuteAuml|AringcedilAEligUacutefrac14AgraveAacutesup1currenOgraveuAEligUacuteAtilde5raquosup1Igravefrac14dordmdAtildecedilsup1AtildeIacuteIgraveAtilde5Ecircsup1Agravefrac14dfrac12AtildeIacuteEcircfrac34UEumlraquoifrac14dIgrave(sup1ecircLAring~Atilde]ampfrac14Ouml~Ouml~frac12sup1Agravefrac14ZAacutesup1AumldraquoAtilde5raquoeumlAgravefrac14Zcedil4Ecircsup1Auml|frac12Auml|ordmdsup1Atilde raquoUAring~Agravefrac12Atilde5frac14dsup1currencedilAtildeJaIumlfIcircIuml THORNFIumlAacuteIcirc~Atilde5AEligwsup1AElig5iquestraquo~sup1AcircnAtildecedilAEligwsup1currenAacutefrac34`AumlOgraveosup1Agrave5AtildeEumliacuteatildeAumldOuml~Icircsup1Yacutefrac14NtildeagraveraquoLAacutesup1OumlPAuml|frac12sup1AElig5iquestPeacutecedil4frac14raquo~Agrave5AtildedIuml

THORNampAtilde5EacutecedilAtilde5Aring~AcircnAtildediquest|UumlIumliquestUaacuteIacuteIumlEZEgravefrac14cedilfrac12frac14dAring~Ecirciquest[NtildeIumlLagraveAringEacutePAtildecedilwAacuteiquest|frac14draquoiEcirc dIumlnTHORN$frac14ZcedilAgrave5Auml|AringcedilwAacute4] divideugrave|ugraveUuacute iqueste`currenatildeOuml~frac14dAgrave5AtildeEgraveAacutesup1Igrave(AtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14EumlAacutesup1AumldraquoUacuteAring~AEligwsup1raquoordmfrac12Atilde5AcircnAtilde5frac12AEligwAtildeAacutefrac14dAgraveAacutesup1AcircnAtilde$AgraveAuml|raquoLAacuteAuml|AringcedilAEligfrac14Ouml~Ouml~frac12sup1AtildeEcirciexclAacuteAumlFIgraveNtildefrac34LAumlLAgravefrac14Zcedil4Ecircsup1frac14dfrac12ordmnfrac14ZAacuteAtildeEcircOtildeatildeIf-UumlkhEgraveETHaIuml xQ||k|~pwld lnrRtcodFo j vwdtcl|]x4shyl not tu not t v rJw iquest)x qJ+y xJ ^ Iuml

THORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquest13iexclNtildeIumlfrac14draquo~EcircdIumlWaacuteAuml|raquoLAacute4frac14ordm|raquoifrac14ZAacute4] divideugrave|ugraveUuacute iquest` ETHBAumldOumlPAuml|frac12Auml|ordmfrac34Oslashfrac14raquoiEcircIacuteAEligwIcirc~frac14dOumlPAtildeAgraveAuml|raquo~AEligqAacutewcedil4frac14sup1raquoUAacuteAEligyAumldraquotimesOumlifrac14Zcedil4frac14EumlIgrave(AtildeAacutewcedilsup1AgraveOslashfrac14dAgraveAacutesup1AcircnAtildearingAgrave5AumldraquoLAacuteAuml|AringcedilAElig_aIuml odshy~rv pumltutcodldP x4shy(l not vPLv p4rsldPtu notcent) v divideJw iquestuacute_qnugrave4yiuacute4rUuacute Iuml[Auml|Igrave(Atilde5AElig5iquestpounddIumlfrac14draquo~EcircaringmiddotNtildeIumleacuteifrac14Aring~ordm|Atilde cedil4frac14dAElig_] divideugrave|ugrave|ugrave iquestcurren` szlig9Atilde5Agrave5Aumldraquo~Agrave5sup1frac12sup1raquo~ordmIacuteEcircsup1AEligqAacute4frac14draquoAgrave5AtildeOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligfrac14draquo~Ecircaeligfrac12Atilde5AcircnAtilde5frac12EgraveAEligwAtilde AacuteAElig_aIumlpoundUodUp il|WoqUacuteumltul|-odshyNtildeshyFU~tR4lrRtcodTldix4shyl not vampgvipv v rsldrRtcod ) iquest dividedugravez^+ydivideddividez Iuml[cedil4frac145frac34LiquestszligyIumliquestdIumlyen-Auml|Aringraquo~ordmiquestampfrac14raquoiEcircagrave0Iumlampagravesup1currenfrac34LAtildecedil4] dividedugravedugraveuacute iquest `aacutesup1raquosup1IgraveNtildeAring~Igrave Ecircsup1AEligwAgrave cedilsup1Igrave(sup1raquo~frac14Aacutesup1Auml|raquosup1raquoOgraveregAumldcedilIgravefrac14Aacutesup1AumldraquoAgrave5frac12Aring~AEligqAacuteAtildecedilsup1raquo~ordmI]Igrave(AumlUEcircAtilde5frac12sup1raquo~ordmTfrac14raquoiEcircOslashecircLAringifrac14raquoUAacutesup1Ocircfrac14ZAacutesup1Auml|raquoOslashCcedilgsup1currenAacuteIcirc ordm|frac14dAringAEligwAEligIgrave(sup1currenicircAacuteAringcedilAtilde5AElig_aIumlTigraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquest=atildePIumliquest=aacuteIacuteIumlkZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestEgravefrac14raquoiEcirc[NtildeIuml=agrave9Aring~EacutePAtildecedilwAacute4] dividedugrave|ugraveUuacute frac14Uiquest` agrave EumliacuteatildeUAacuteAtilde5Ouml frac14dfrac12ordm|Aumlcedilsup1currenAacuteIcirc~IgraveAring~AEligwsup1raquoordmcedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtilde=Agrave5Auml|raquoLAacuteAuml|AringcedilAEligeOgraveuAumldcedilAcircUsup1EcircAtilde5AumlAuml|EacuteUbrvbarqAtilde5Agrave AacuteAElig=EcircAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoSaIuml~igraveraquo13]psect xw j x4 sect odpDumlqo odUacutex4shy(l not v9Pl| ~tu5op j rRtushyvwdtclNtildex4rv pwlnrRtKndvy]v pntc4v IumliETHWfrac14dIgrave(OumlPAtilde cedilAtilde|iquestieacuteWsup1raquofrac12Yacutefrac14raquoiEcirc]Iumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquestUatilde]IumliquestUaacuteIacuteIumlUZ=frac14cedilfrac12frac14dAring~EcirciquestUfrac14raquoiEcirccopy[NtildeIumlUagrave9Aring~EacutePAtildecedilwAacute4] dividedugravedugraveuacute EacuteiquestA` szlig9Atilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14AgraveAacutesup1AcircnAtildegAgrave5Auml|raquoLAacuteAumldAringcedilAEligOgraveuAumldcedilAcircUsup1YacuteEcircAtilde5AumlaringAuml|EacuteUbrvbarqAtilde5Agrave AacuteOtildeAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo Ccedilgsup1currenAacuteIcircaAgrave5frac14dIgrave(Atildecedil4frac14OslashAgrave5AumldIgrave(OumlPAtilde5raquo~AEligfrac14ZAacutesup1Aumldraquo13aIumligraveiacuteraquo13] x4~rv p4PldrRtcoPl|odv pwv P4vFodUacutex4shyl not vsectEgravepwo4v tu not IumlPETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1RiquestS[cedilAtilde5Atilde5Agrave5AtildedIumld|Atilde5Icirc~frac14draquoEumlZ=AtildeAEligwAEligwAuml|raquoiquesteatilde]IumliquestWaacuteIacuteIumlZEgravefrac14Zcedilfrac12Yacutefrac14AringiEcirc]iquestefrac14draquo~Ecirc[NtildeIumlBagraveAring~EacutePAtilde cedilwAacute4] divideugrave|ugraveuacute Agrave|iquestk` g sup1EcircAtilde5AumlUacuteAuml|EacuteUbrvbarqAtildeAgraveAacuteFAEligwAtildeordm|Igrave(Atilde5raquoLAacute4frac14Aacutesup1AumldraquoAring~AEligwsup1raquo~ordmIacuteAtilde5Aring~frac12Atildecedilsup1frac14draquo cedilAtilde5ordm|sup1Auml|raquoEumlsEacuteifrac14dAEligwAtilde5Ecircfrac14dAgraveAacutesup1AcircnAtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAElig_aIuml igraveiacuteraquoS] x4rv p ildrRtcodil|yodv pwv P4vIacuteoodshyiUrv paumlumltutcod Iuml g frac14draquoAgrave5Auml|AringAcircnAtildecediliquestehEgravefrac14draquo~frac14|Ecirc~frac14UIumlbyfrac14dAEligwAElig5iquesteaacuteIacuteIumliquestWagrave0Iuml Ucirc sup1currenAacuteUgravesup1raquoiquestWfrac14raquoiEcirctimesTHORNFIumlWETHBAtildecedilOcirc5AumldOumlPAuml|Aringfrac12AumldAElig_] uacute4^ JUiquestk`currenatilderaquoifrac14UgravenAtilde5AElig_]WagraveAgraveAacutesup1AcircnAtilde(Agrave5AumldraquoLAacuteAuml|Aringcedil0Igrave(AumlUEcircAtilde5frac12AElig_aIumlx4~rv p4PldrRtcoPl|WpoundUop4PldWoqodshyiUrv pTumltutcod iquest ndivideUuacuteyUzndivide Iuml

aacuteUacutefrac14dfrac12frac12frac14|Ecircsup1ciquest~szlig0IumliquestedIuml]atildeUAtildeAacuteIcirc~sup1frac14raquoiquest~frac14draquoiEcircZIuml g Atilde5IgraveNtildeAringcedilsup1G] uacute4^z^ UiquestS`atildeUIcircifrac14OumlPAtilde$Igrave(AumlUEcircAtilde5frac12sup1raquo~ordm0Ccedilgsup1AacuteIcirciexclOgraveregcedilAuml|raquoLAacuteOumlcedilAumldOumlifrac14dordm|frac14EumlAacutesup1Aumldraquo13]nfrac14ampfrac12AtildeAcircnAtilde5frac12AEligwAtildeAacuteEgravefrac14Ouml~OumlcedilAumlnfrac14dAgrave4Icirc13aIuml xQ|||~pwld lnrRtcodampodsectgldrRrv p 9Pl| ~tu9ldP j ln4Utreg]vx4~rvu t not v i4v Iordf iquest uacute z yiuacute+r UIuml

aacuteUacutefrac14draquoAEligwAuml|Aringcedilsup1Riquestagrave0Iumlfrac14draquo~EcircdIumlb$Auml|raquocedil4frac14|EcircS] uacute_^J^J^ iquestlaquo`currenaacuteAumldAacutesup1AumldraquoAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo`Ccedilgsup1currenAacuteIcirceumlfrac12Atilde5AcircnAtildefrac120AEligwAtilde AacuteAElig_aIuml igraveraquo13]x4~rv p4PldrRtcoPl|=ov pwv P4vNtildeodUacutex4shyl not vsectEgravepwo4v tu not Iumlcb$AumldEacutePAtilde|iquestednfrac14dOuml~frac14draquoIuml

aacuteAuml|raquoLAacute4frac14dordmdraquoifrac14ZAacuteiquestdIumliquestziexcl0IumlTHORNampAtilde5frac12sup1raquo~ordmdAtildeAacutewAacuteAtilde|iquestdfrac14draquo~EcircoNtildeIumlZagravegfrac34Ufrac14dAgrave4Icirc~AtildeJ] dividedugrave|ugraveUuacute iquest` agraveOslashcedilAtildeAcircsup1AtildeCcedilaeligAumldOgravePEcircAtildeOgraveuAumlcedilIgravefrac14dEacutefrac12AtildeAEligwAringcedilwOgraveufrac14dAgrave5AtildeAElig_]AacuteAuml|OumlPAuml|frac12Aumldordmdfrac34Liquestgordm|AtildeAuml|Igrave(AtildeAacutewcedilwfrac34frac14draquoiEcirc EcircAtildeOgraveuAumlcedilIgravefrac14Aacutesup1Auml|raquoSaIuml x4shyl not vtimesldiOacuteumltutcododshy~rRtreg not0Inot v uacute_qw iquestuacuteugravendivide+y~uacuteugravezq|ugrave Iuml

aacuteAring~IgraveOgraveregAumldcedil4Ecirciquest=THORNFIumlgfrac14raquoiEcircdIumlatildeIcirc~frac14dIcircS] uacute4^ ^ iquest`currenmiddotOumlAacutesup1Igravefrac14frac12$frac14dOumlOumlcedilAumlicircsup1Igravefrac14Aacutesup1Auml|raquoAEligEacuteLfrac34Oumlsup1AtildeAgrave5AtildeCcedilgsup1AEligwAtildetimesAEligwIgrave(AumlLAumlAacuteIcircOgraveuAring~raquoAgraveAacutesup1Auml|raquoAEligFfrac14raquoiEcircOslashfrac14dAEligwAEligwAumlLAgravesup1Yacutefrac14ZAacuteAtildeEcircaringAcirc|frac14Zcedilsup1Yacutefrac14ZAacutesup1Auml|raquoifrac14frac12EgraveOumlcedilAumldEacute~frac12Atilde5Igrave(AElig_aIuml odshyNtildeshyFU~tR4lrRtcod~oaeligsectEgraveUpvUacuteldiEgraveni tsvw j ldrreg~v shy(lrRtccurrenshyt iquest rzr4y xJ q Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfa

yenKbrvbarsect =4 acirc $ zmiddotAEligwIcirc~AtildecediliquestdatildePIumlfrac14draquo~EcircdIumlnatildeAtilde AacuteIcirc~sup1frac14draquoS] uacute4^ ziquest` eacutecedilAuml|raquoLAacuteAEligeOumlcedilAumldOumlifrac14ordmnfrac14Aacutesup1raquoordmCcedilgsup1currenAacuteIcircFAgrave5AringcedilAcirc|frac14ZAacuteAringcedilAtildeEumlEcircAtilde5OumlPAtilde5raquoiEcircAtilde5raquoLAacuteBAEligwOumlPAtildeAtildeEcircS]

agravefrac12ordm|Aumlcedilsup1AacuteIcircIgrave(AEligEacute~frac14dAEligwAtildeEcircaumlAuml|raquoiexclampfrac14Igrave(sup1frac12AacuteAumldraquoEumldnfrac14Agrave5Auml|Eacutesup1eacute~AumldcedilIgraveNtildeAring~frac12frac14Aacutesup1Auml|raquoSaIuml poundUodUp4Pl|oqiexcloshyiUrsldrRtcoPl|sect=U~tc ordfenot iquest uacutedivide4yEqE^ Iumlfefrac14cedil4frac14ordm|sup1Auml|AElig5iquestoNtildeIumlfrac14draquo~EcircIacuteszligyIuml]THORNampAtildecedilsup1Agrave4Icirc~AtildeJ] uacute4^z^J^ iquest`s[Atilde5AumlUEcircAtildeAEligwsup1Agravefrac14AgraveAacutesup1AcircnAtildeFcedilAtilde5ordmdsup1Auml|raquo~AElig$OgraveregAumldcedil0Igrave(AumldAacutesup1Auml|raquoTAtilde5AEligqAacutesup1Igravefrac14Aacutesup1Aumldraquofrac14draquoiEcircAacutewcedil4frac14dAgrave4UgraveUsup1raquoordmAaIumligraveiacuteraquoS] x4rv p ildrRtcodil|-ov pwv P4vFodOslashodshyiUrv paumlumltutco Iumleh=AumldcedilwOgraveregAringgt[cedilAtilde5Atilde5Agrave5Atilde|Iumlfefrac14AacuteAtilde5Aringicirc]iquestatilde]Iuml] dividedugravedugrave|ugrave iquestpound`currenatildeOuml~frac14Aacutesup1frac14dfrac12AEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoTAumldOgrave=Agrave5Auml|frac12Aumlcedilysup1Igravefrac14ordm|Atilde5AEligampfrac14dAgrave5Agrave5Aumlcedil4Ecircsup1raquo~ordmAacuteAumlUacuteaacuteTHORNaringOgraveregAumldcedilIgravefrac14dfrac12currenEumlsup1AEligwIgraveaIumlyigraveraquo13] x4~rv p4PlrRtcodPld=od5v pv i vodododpFtu pwl4UtcldPx4shyl not vysectpqo v tu not Iumlatildefrac14dsup1raquoLAacute UumleAacutesup1Atilderaquo~raquo~Atildediquestieacutecedil4frac14raquo~Agrave5AtildedIumlfcedilAtildeAgrave5sup1Auml|AEligwAumliquesteacute=IumlEgravefrac14raquoiEcirc aacuteIacuteIumlcurrenZEgravefrac14cedilfrac12frac14dAring~EcircS] dividedugrave|ugraveUuacute iquest` Z-EumliacuteatildeUOuml~frac12sup1raquo~Atildeaumlfrac14dAgrave Aacutesup1Acirc|AtildeOtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAEligOgraveregAumldcedilOgraveRfrac14AEligqAacuteAcircUsup1EcircAtilde5AumltimesAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIumlOacuteigraveraquo13] x4rv p ildrRtcodil|od5v pv P4vaeligod x4shy(l not vUacutesectpqo4v 4tu not IumlETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1Riquest[cedilAtilde5Atilde5Agrave5Atilde|Iuml

szligAumldraquoOgraveufrac14cedil4EcirciquestszligyIuml] uacute_^J^q iquest` szlig9Atilde5ordmdsup1AumldraquoEumlsEacuteifrac14AEligwAtildeEcircFAEligqAacutewcedil4frac14ZAacuteAtilde5ordm|sup1Atilde5AEligeOgraveuAumlcedil-frac14dAgraveAacutesup1AcircnAtildeEgraveAgraveAuml|raquoLAacuteAuml|AringcedilIgrave(AumlUEcircAtilde5frac12AElig_aIuml x4~rv p4PldrRtcoPl|poundUodUp il|WoqodshyiUrv paumlumltutco I v dividezw iquest divideddividez^+yUdivide uacute Iuml

atildefrac14Igrave(AEligwAuml|raquoiquestzhIumliquestzIumlzZ=frac12frac14raquo~AgraveEumleacuteAtildecedil4frac14AringiEcirciquestJ[NtildeIumldagraveAringEacutePAtildecedilwAacuteiquestfrac14draquo~Ecirc dIumlJregPAtildecedilAring~Eacutesup1frac14I] dividedugravedugrave|ugrave iquest` agrave frac12Atilde5Acirc|Atilde5frac12UAEligwAtildeAacuteIgrave(AumlUEcircAtilde5frac12nOgraveregAumldcedilsup1Igravefrac14ordm|AtildeAgrave5frac12frac14dAEligwAEligwsup1siAgravefrac14ZAacutesup1Auml|raquo13aIuml x4~rv p4PlrRtcodPldpoundUodUp4Pl|BoqNtildeodshyiUrv pOtildeumltreg4tRod shy v Ew iquest uacute r4y~uacute4^Er Iuml

atildefrac14raquo~ordmdCcedilgsup1raquoAtilde|iquest9atilde]IumlEgravefrac14draquo~Ecircszlig0IumlampiexclAumldcedilraquoAtilde v Atilde5EcircAElig5Iuml w ] uacute_^J^ Uiquest ~vIacuteo|odUpaumltushyl not vipqo4v 4tu not ldP|m4oo4uml Iumlh=Icircifrac14dOumlIgravefrac14draquodegmacriexclampfrac14dfrac12frac12RIumlatildeAtildeAacuteIcircsup1frac14draquoiquestdIumlplusmn] uacute4^z^|ugrave iquestU` oAringIgrave(Atildecedilsup1Agravefrac14dfrac12Ufrac14frac12ordm|Aumldcedilsup1currenAacuteIcircIgrave(AEligWOgraveuAumldcedilOumlcedilAuml|Oumlifrac14ordmnfrac14ZAacutesup1raquoordmsup1raquoLAacuteAtildecedilwOgraveRfrac14Agrave5Atilde5AElig_]Jiexclampfrac14dIgrave(sup1frac12currenAacuteAuml|raquoEumldnfrac14dAgrave5AumldEacute~sup1

AtildeecircLAringifrac14Aacutesup1Aumldraquo~AElig-frac14draquoiEcircAgraveAuml|raquo~AEligwAtilde cedilAcirc|frac14ZAacutesup1Aumldraquo(frac12frac14CcedilgAElig_aIuml poundUodUp4Pl|]oqEgraveyen$t lv pv rRtcl| voshyv rRp~ iquest uacute4Uuacutey~uacute x uacute IumlatildeAtildeAacuteIcircsup1frac14draquoiquestAdIuml] uacute4^J^ xiquest kWvndvB]v r j v rregod IumlcurrenhEgravefrac14dIgraveNtildeEacutecedilsup1EcircordmdAtilderaquosup1AcircPIumlAfecedilAtilde5AEligwAElig5Iumlatildesup1Ecirc~Ecircsup1ecircUsup1Riquest4bIumliquest_yenNtildeIumlBfrac14Aring~Ocirc5sup1Gsup2AtildecedilAtilde|iquestagraveyIumlETHWfrac14draquoraquo~Atilde5raquoUEacute~frac14dAring~IgraveUacuteiquest5frac14draquo~EcircNtildeatildePIumlregPAring~Agrave4UgravenAtildecedil4] uacute_^J^ xUiquestE`currenagravegcedilAtildefrac149frac14draquoiEcirc$frac12Atilde5raquoordmdAacuteIcircyIgrave(sup1raquoEuml

sup1Igrave(sup1Ocirc5sup1raquoordm sup3iAumlCcedilgAEliggOgraveuAumldcedilAEligwIcircifrac14OumlPAtildeyAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo13aIuml xQ|||~pwl~ lnrRtcodoOtildex4shyl not vsectEgravepwo4v tu notordf v Ew iquest qEz+yqzqE Iumlyen=AtildeOcirc5Ocirc5sup1RiquestagraveyIumliquest5agrave0Iuml5ETHEgraveAEligfrac14dsup1Riquestfrac14draquo~Ecirc$agrave0Iuml Ucirc sup1frac12frac12AEligwUgraveLfrac34] uacute4^z^J^ iquestJ` agraveaeligAEligqAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12Ufrac14dOumlOumlcedilAumlnfrac14Agrave IcircampAacuteAumlgAEligwraquo~frac14dUgravenAtilde5AElig]OgraveuAumlcedilWEacutesup1Igrave(AumlUEcircfrac14dfrac12frac14draquoiEcircAacutewcedilsup1Igrave(AumlUEcirc~frac14frac12isup1Igravefrac14dordmdAtildecedilwfrac34aIumligraveraquo13] x4rv p ildrRtcodil|eodv pwv P4vyodx4shyl not vgsectpqo v tu not IumlAb$AumldEacutePAtildednfrac14dOuml~frac14draquoIumlreg]IcircUAringiquest]atilde]Iumlfrac14raquoiEcircaumlagrave0Iumleyen=Aringsup1frac12frac12AtildeJ] uacute_^J^ xUiquestpound` szlig9Atilde5ordmdsup1AumldraquotimesAgrave5AumldIgrave(OumlPAtildeAacutesup1currenAacutesup1Auml|raquo13]iAring~raquo~sup1currenOgraveYacutefrac34sup1raquoordmiexclAEligwraquo~frac14dUgravenAtilde5AElig5iquestPcedilAtildeordm|sup1Auml|raquoTordmdcedilAumlCcedilgsup1raquo~ordmiquestfrac14draquoiEcircZEgravefrac145frac34LAtilde5AEligacute|aacuteTHORNOgraveregAumldcedilIgraveFAring~frac12currenAacutesup1Eacuteifrac14raquoiEcirc sup1Igravefrac14ordm|AtildeTAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo13aIuml xQ|||micro~pwld lnrRtcodtimesosect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4v Icent iquesteJ q+yU^dugrave|ugrave Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfo

i $amp)(+-)013021+345627893lt=gt9A6CBfrac12OcircacuteIshyNT

frac12OcircacuteIltNTpara frac12frac34EMeJaumlQcYZYZjJUacuteQsY H [ ^QEgraveJLhZJUO H QcN H J H MeJordfXiacute[]fcfR[WQcO[Oslash^e[]ZaringNPQsOXiacutejOb H QR[]ONPfdaringocirc|adOuml times jOcircaacute uuml times a2atildeltszligaumlgtszliglOuml times j atilde auml

G QsObnJ H MJeumlYZJ H [SXIacuteNPfcfUacute^e[]ZaringNPQsOYMNPY Oe[ H N Y H hjb H jhZJ`[SXUPJUb H [PhQcNPfOtildeYZKNPbnJSefRJ H jYZ N`PJ H MeJeumlhZJ[]QR[]OYJUP[]fVUPJ H MehZ[]j[]M NrXqNSZaringQcfVm [SX H hNPOYYX[PhlZ N H QR[]OYa(|aagraveszlig jj emiddot iacuteaumlYlZOslash[[ H MaNPO^ centQ ~JUb H QVUPJS^ not [PhNOslashKEgrave[]QcO H $ aacute atildeshyszligaumlN eFWFJTOe[ H JSaring$ aagravej|aacutemiddot|aagraveszlig $ j WiexclQ H M |a s szlig $ jaacute $OumlcopytimesaagravejOcircaacutemiddot|aagraveszliglOumlutimesdj WiexclQ H M |a s szliglOumlcopytimesAjOcircaacuteAumlOumlutimes9J H jY H MeJUO^JOeJ H MeJordfUPJUfR[WbLQ H moUPJUb H [PhdY JUfs^kfrac12 YZjbM H MN H aringfrac12sup1aagraveszlig $ aagravejj|aacute aelig |aelig agrave aagraveszlig $ j YlaquoXiacuteNiharingNPY H MeJ bn[]ZOslashKj H N H QR[]O[SX H MeJ ^eJLhQU~N H QVUPJ QcYOslashbn[]ObnJLhOeJU^OeWFJNihZJQcOWVH JLhZJUY H JU^ QcO YYZaringNPfcfOtilde^JX[PhlZ N H QR[]OY^ J H MBjYJkWKNPO^ H MeJ H hNPOYX[PhZaringN H QR[]ONPbLbn[Ph^QcO[ H [hdY H [Ph^eJLh NmWfR[PhyacuteXiacute[PhlZtimesjfcNaring|aagraveszlig $ jpoundaacuteAElig|a s szlig $ j agrave aelig |aelig agrave a s szlig $ jaacute $ ragrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacute frac14 frac14 a s szlig $ j^ J H MeJUOQcO H hZ[W^jbnJ H MehZJLJgZ NPQcO^eJOQ H QR[]OYaringf^QMeJg0jfRJLhQcNPO^eJLhQU~N H QVUPJOtilde[SXocirc|adOuml times jordfaqQcO H MeJIacute^QRhZJUb H QR[]O[SXcedilfrac12jaring ocirc|adOumlcopytimesszlig_frac12jOcircaacutefcQZUcedil iacute ocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave admacrfj ^QMeJgZaringN H JLhQsNPfg^eJLhQVUiN H QVUPJOtilde[SXuumlStimesYa $ szliglOumlcopytimes)jaringsup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j|aacutefcQZUcedil iacute uumlStimesa $ ragrave3frac12ba $ jszliglOumlutimes agrave3frac12sup1a $ jj uuml]timesa $ szliglOumlcopytimesdjagrave admacr j^QMeJaumlYZMNiKEgraveJOtilde^eJLhQU~N H QVUPJOtilde[SXOcircuuml]timesa $ szliglOumlutimes)jaring

uumlnotraquotimes a $ szliglOumlcopytimesUcircszlig_frac12 jaacutefcQZUcedil iacute uumlStimesYa $ szliglOumlutimesragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave admacrS]j

uumlnyacutenthornnyumll13YSordmY_Fordfy

yenKbrvbarsect =4 acirc $ hq centUWQR[]jYZfVmSe-centmaJkBKNPO^QcO[ admacr jUacuteNPbLbn[Ph^QcOF[ H [hdY H [Phd^eJLhordfNmBfR[PhordfXiacute[PhlZtimesjfcNeWFJaumlMNUPJSaring sup1uumlStimesYa $ szliglOumlcopytimesUcircszlig_frac12 jaacuteAumluumlnotraquotimes a $ szliglOumlcopytimesszlig_frac12jhuumlStimesa $ szliglOumlcopytimes)j frac12sup1a $ j admacrj J H MeJUOabn[]ZOslashK-j H JZOslash[PhJaumlKhZJUbLQcYZJUfVm H MJ0jfRJLhQcNPO ^eJLhdQVU~N H QUPJauml[SXcopyocirc|adOumlcopytimesdj^ JMNUPJSaringocircOcircadOumlutimesaagravejj ocircOcircadOumlutimes)jagrave aacute fagrave = thorn yuml uuml times a $ aagravejszliglOuml times aagravejj $ uuml times a $ szliglOuml times j $ FH admacrSmacr]j5O H MJohY H QcO H J[PhdNPfdeltWFJZaringN`PJ H MeJU~NihdQcNicentfRJ bMNPO[PJ $ aagravejaacute $ agrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacuteethicirc7a2atildeshyszligaumlFjszligicirc cent a2atildeltszligaumlj eWMQcbdM[]QVUPJUYaring thorn yuml uuml]timesYa $ aagravejszliglOumlcopytimesYaagravejj $ aacute admacrS]j

5 uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlutimes agrave3frac12sup1a $ jjlt^eJ H ocirc a $ jlt $WMJLhZJocirc a $ jQcY H MeJgXiacute[]fcfR[WQcO[aringSNPbn[PcentQcNPOtZaringN H hdQkKaring

ocirc a $ jaacute oacute fcedilxagrave frac14 iacute oslashfrac14Uordm agrave frac14 iacute oslashfrac14 ugraveagrave frac14 iacute acircfrac14ordm fcedil agrave frac14 iacute acircfrac14 ugrave ocircNPO^ YZ[eFWNtildeJIacuteMNUPJSaring

^eJ H ocirc a $ jOcircaacute fUragravee^QVUKafrac34frac12sup1a $ jjragrave cent ^eJ H amacr frac12sup1a $ jjMJUOWNtildeJauml[Pcent H NPQcOOaring

fsQZcedil iacute ^eJ H ocirc a $ j fagrave aacute ^QVUKafrac34frac12sup1a $ jj admacr]zSjMJJBjN H QR[]OxadmacrSmacr]j H MeJUOcent=JUbn[]ZaringJUYaringocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave aacute fagrave middot uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jjlt 13raquo ocirc a $ jlt $ uumlStimesa $ szliglOumlcopytimesAj $ admacrSi]j JTbLNPO`YZjeKKEgrave[]YJ H MN H ^eJ H aocirc a $ jjfrac14aacute sfrac12 agrave frac12 $ ^ JZaringNm H MeJUO H N`PJ^eJ H aocirc a $ jjfrac34 s eNPO^ WNtildeJ ^eJUPJUfR[PK H MeJaJkWKhZJUYYZQR[]OadmacrSi]j NPYoX[]fsfR[WQsO[centmNP^^QcO[aringN H JLhZ QcO H MeJIacuteYZJUbn[]O^aQcO H J[PhNPfltWMQcfcJaumlYZjeKKhJUYZYZQcO[ H MeJtimesYZNSZOslashJ H JLhlZQcO H MJordfhY H QcO H J[PhNPfdaring ocirc|adOumlcopytimesYaagravejj ocirc|adOumlcopytimes)jagrave aacuteegraveOtildef1rOtilde cent admacrSh]j

uumlnyacutenthornnyumll13YSordmY_Fordf

s $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJSaring

Otilde aacute uuml]timesa $ ragrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave ^eJ H aocirc a $ jj $ ad s jOtilde cent aacute uuml]timesa $ szliglOumlcopytimesdj ^eJ H aocirc a $ jj fagrave $ adfj

9J H jY_ZaringN`PJordmagrave H JUO^ H [WNih^Y s ^curreniquestYZQcO[frac34admacrjiexclNPO^JOQ H Qc[]OYadmacr e macrS]jeWFJ[PJ H aringfcQZUcedil iacute Otilde aacute sup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j $

aacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ uuml times a $ szliglOuml times j frac12sup1a $ j $fcQZUcedil iacute Otilde cent aacute uuml]timesa $ szliglOumlcopytimesdj^QVUKafrac34frac12 j $

O^ Y[Xiacute[Ph H MeJgNtildejfRJLhQsNPO ^eJLhQVUiN H QVUPJSeWFJgO^Oaring ocirc|adOuml times szlig_frac12jumlaacuteyacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ amacrreguumlStimesYa $ szliglOumlcopytimes)j frac12sup1a $ j7 uuml]timesYa $ szliglOumlcopytimes)j^QVUKafrac34frac12sup1a $ jjj $aacute uumlnotraquotimes a $ szliglOuml times szlig_frac12j $ ^QVUKaduuml times frac12j $ ad j

MeJUO NiKKfVmWQcO[ H MJ hJLJUOWVAQRJZ NPOO H MeJL[PhZJZQcO ad jeWNtildeJ5ONPfcfmtimes[Pcent H NPQcOOaring ocirc|adOumlcopytimesszlig_frac12jOcircaacute uuml raquotimes a $ szliglOumlcopytimesUcircszlig_frac12j $ uacutefrac14 5 uuml]timesYafrac34frac12 eacuteAgraveiquestsup1AacuteAtildeAcircj THORN adS]jWMJLhZJ5eacuteAgraveiquestsup1AacuteAtildeAcircyQcY H MeJUacutejOQ H QcOOgraveWNih^ Oe[PhlZaringNPf H [ aelig OumlcopytimesUcirc^MeJ_NtildejfRJLhQcNPO ^eJLhQVUiN H QVUPJQcY(O[ H JU^ ocirc raquo aagravej(QcO H MeJaumlKNiKEgraveJLhNPO^ H MeJaumlYZMNiKEgraveJauml^eJLhQU~N H QVUPJyuuml raquotimes QcY(Oe[ H JU^ frac14 frac14 ^iquest acutemicrosup1cedilFLft not [PhyYQZOslashKfcQsbLQ H mSeWNtildeJ(bM[[]YJ H MeJcopyXiacute[]fcfR[WQcO[_U~NihQsN H QR[]OaeligQcO H MeJKhZ[B[SXaring$ aagravejaacute $ agrave3frac12sup1a $ j^MJiexclKh[[SXZaringNm NPfcYZ[IacutecentEgraveJiexcl^JUPJUfR[PKEgraveJU^WiexclQ H MZaring[PhZJ_[PJUOJLhNPfUiNihQcN H QR[]OYFYjbM NPYaring $ aagravejaacuteAacuteAgravea $ szligYagravejWQ H MAcircAgrave`NOslashYYZOslash[B[ H MXiacutejOb H QR[]ONPO^AcircAgravea szligYagravejcentQ ~5JUb H QVUPJS^

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ ffrac12OcircacuteIshyNT AcircE J(MNUPJ H [Otildebn[]ZOslashK-j H J H MJNtilde^QEgraveJLhZJUO HH JLhZaringY9[SXQa macr]j9QsOauml[Ph^eJLh H [Uacute[Pcent H NPQcO H MeJ

JUP[]fcj H QR[]OJBjN H QR[]O[SX H MeJ NPb H QUPJ bn[]O H []jehX[Ph H MeJ ^JUYZbnhQRK H [PhdYaumlcentNPYJU^Oacute[]OH MeJ(bn[U~NihQsNPObnJ ZaringN H hQVktimes^eJ H JLhlZ QcONPO H a2Ograveh]j^OgraveMeJ(bn[]ZOslashKj H N H QR[]OaringQcYampKEgraveJLhYXiacute[PhlZOslashJU^Xiacute[Ph H MeJIacute^eJUYZbnhQRK H [Ph_uuml thorn timesOslash yuml ^ q centUWQR[]jYZfmSeN YZQZ QcfcNihbn[]ZOslashKj H N H QR[]OabLNPOacent=JIacute^e[]OeJXiacute[PhOcircuuml thorn UgraveUcircUacuteUuml yuml ^ JiexclbLNPOaeligJkBKhJUYZYOcircuuml thorn timesOslash yuml NPYyNUacutebn[]ZTcent-QcON H QR[]Oaelig[SXgtXiacutejOb H QR[]OYamp^eJLKEgraveJUO^QcOF[[]O H MJOtildehZJ[]QR[]OwOuml timesOslash aring

uumlgtthorn times Oslash yuml a2atildeltszligaumlgtszligYagravejaacute`Ograveoacute m thorn timesOslash yumlaIgraveagrave thorn timesOslash yumlAtilde j cent ocirc adjWMJLhZJordmaacuteAuml85eWiexclQ H MAring8 H MeJordfXqjOb H Qc[]O QcO H h[B^jbnJU^ QcOpounda2Ograveh]je-NPO^aringm thorn timesOslash yuml aacute agrave thorn timesOslash yuml agrave thorn timesOslash yumlcent agrave thorn timesOslash yuml agrave thorn timesOslash yumlAElig agrave thorn times Oslash yumlCcedil agrave thorn timesOslash yumlEgrave agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlEgrave j cent agrave thorn times Oslash yumlcent aIgraveagrave thorn timesOslash yumlCcedil j cent agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlAElig j centWQ H MOaring EFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFH

agrave thorn timesOslash yuml aacute w$ thorn yuml aOtilde S times Oslash j cent atilde aumlagrave thorn timesOslash yumlcent aacute w$ thorn yuml aOtildeOgravecent Scenttimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yuml aacute w$ thorn yuml aOtildeS Stimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yumlAElig aacute w$ thorn yuml aOtilde S times Oslash jaOtildeOgravecent ScenttimesOslash j atilde aumlagrave thorn timesOslash yumlCcedil aacute w$ thorn yuml aOtilde S times Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlEgrave aacute w$ thorn yuml aOtilde cent S centtimes Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlAtilde aacute w$ thorn yuml atilde auml O^ Y[ H MJordfXiacutejOb H QR[]OY aelig thorn timesOslash yumlauml MNUPJ H MeJgXiacute[]fcfR[WiexclQcO[aeligJkBKhZJUYZYZQR[]OYaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

aelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlcent aacute aOtilde cent S centtimesOslash j centaelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlAElig aacute aOtilde S timesOslash jaOtilde cent S centtimesOslash jaelig thorn times Oslash yumlCcedil aacute aOtilde S timesOslash jaOtilde S timesOslash jaelig thorn times Oslash yumlEgrave aacute aOtildeOgravecent ScenttimesOslash jaOtilde13 StimesOslash jaelig thorn times Oslash yumlAtilde aacutemiddotf

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBnot h[]Z H MeJUYJaumlJkWKhZJUYYZQR[]OYeWFJOtildeJUNPYZQcfm ^eJU^jbnJ H MN H aring

$ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde aumlregaacute sEacutefrac12poundEcirc iuml

J H MeJUO MNUPJ H [Tbn[]ZaringKj H J H MeJ H JLhlZaringY eacute thorn times Oslash yumlauml XiacutehZ[]Z H MeJJkWKhZJUYZYQR[]OYamp[SXagrave thorn timesOslash yumlauml eWMQcbM fRJUNP^Y H [aringEFFFFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFFFFH

eacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideoslash aacute w$ thorn yuml uacute ouml $ordfdivideacirc uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIgrave yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H a timesOslash jjeacute thorn timesOslash yumlcent aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideacirc

aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIcirc yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideEuml aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideacirc thorn thorn uacute ouml $_divideIuml yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yumlAElig aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIuml aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideEuml uacute ouml $ordfdivideIuml thorn uacute ouml $_divideIcirc uacute ouml $ordfdivideIgrave yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlCcedil aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIcirc aacute w$ thorn yuml cent thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideacirc uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlEgrave aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIgrave aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideoslash uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlAtilde aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIacute aacute w$ thorn yuml thorn +ETH ouml $_dividethorn uacute ouml $ordfdivideIacute yuml Iuml 8 raquo aq^J H a timesOslash jj

O^centmJkWKhZJUYZYZQsO[ H MeJbn[UiNihQcNPObnJZaringN H hQVkpoundWQ H M H MJregXqjOb H QR[]OYagrave thorn timesOslash yumlauml NPYXiacute[]fcfR[WQcO[aring

timesOslashlaquoaacute 1NtildeNtildeNtildeNtildeNtildeNtilde3uacute ouml $ordfdivideoslashuacute ouml $ordfdivideIacute uacute ouml $_divideIumluacute ouml $_divideIacute uacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIumluacute ouml $ordfdivideIacute uacute ouml $_divideacircuacute ouml $_divideIacute uacute ouml $ordfdivideIgraveuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacute uacute ouml $_divideIgraveuacute ouml $_divideIacute uacute ouml $ordfdivideEumluacute ouml $ordfdivideIacute

6OgraveOgraveOgraveOgraveOgraveOgrave7 J H MJUO^eJU^jbnJSaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

eacute thorn times Oslash yuml aacute a fj thorn yuml ^eJ H aDC Ptimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlcent aacute a fj thorn centcent yuml ^eJ H aDC centcenttimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yuml aacute a fj thorn curren yuml ^eJ H aDC 4times Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlAElig aacute a fj thorn cent yuml ^eJ H aDC centtimes Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlCcedil aacute a fj thorn curren yuml ^eJ H aDC times Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlEgrave aacute a fj thorn centcurren yuml ^eJ H aDCcent4times Oslash j48 raquo aq^eJ H a timesOslash jjeacute thorn times Oslash yumlAtilde aacute amp^eJ H a timesOslash j48 raquo aq^eJ H a timesOslash jj

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ SWMJLhZJC EBtimesOslash QcY H MeJgZaringN H hdQk ^eJU^jbnJU^Xh[]ZOacutetimesOslasharingcentm YZjeKKhZJUYZYZQcOF[ H MeJyuuml UumlON hZ[WNPO^ H MJ I UumlON bn[]fcjFZaringOO^]MeJbn[]ZOslashKj H N H Qc[]OordmX[Ph H MeJ^eJUYZbnhdQRK H [Ph|uuml thorn UgraveUcircUacuteUuml yuml QcYyYQZaringQcfcNihNPO^WFJ H MeJUOOslashMNUPJNPfcf H MeJ(JkWKhZJUYZYZQc[]OY H [aumlbn[]ZOslashKj H J H MeJJUP[]fcj H QR[]OaeligJjN H QR[]OXiacutehZ[]Z H MeJg[PJUOJLhNPfOXiacute[PhlZIacutejfcNta macr]j^gtMQcYcopy[]QVUPJUY H MeJTJUP[]fcj H QR[]O JBjN H QR[]Osup1admacr s j^

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBΩ out

Objects

Γ

inΩ

inΩ

Background Part

-t not Upv copy ETHEgraveIcircAtildeampAacuteiacuteCcedil=AumlFcedilAtilde5ordm|sup1Aumldraquo~AElig9AumldOgravefrac14raquoUacutesup1Igravefrac14dordm|Atilde

Ω

Ω out (τ)Ω

(τ)in

N

Γ(τ)

Ω

N

v

w

N

-t not Upv ETHEgraveIcircAtildeyEcircAumldIgravefrac14dsup1raquo~AEliggfrac14raquoiEcircAacuteIcircAtilde$AcircnAtilde5AgraveAacuteAumlcedilAEliggsup1raquoUAcircnAumldfrac12AcircnAtildeEcircsup1raquoiexclAacuteIcirc~Atilde$EcircAtildecedilsup1Acirc|frac14ZAacutesup1Aumldraquo

uumlnyacutenthornnyumll13YSordmY_F2ordf

yenKbrvbarsect =4 acirc $ Smacr

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 Atilde|IumligraveAacuteAtildecedil4frac14ZAacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvyzU eacuteWsup1ordm|AringcedilAtilde5AEligfrac14iquest Eacuteiquest AgraveJ]iUumlAcircnAumldfrac12AringAacutesup1Auml|raquoOtildeAumlOgraveeAacuteIcirc~Atildeyfrac14dAgrave Aacutesup1Acirc|Atilde0AgraveAuml|raquoLAacuteAuml|AringcedilIgravefrac14raquoifrac14ordm|AtildeEcircUacuteEacuteLfrac34AacuteIcirc~AtildefTHORN$Uuml v qzqwsup1raquo~Agrave5frac12AringiEcircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquoifrac14frac12ampAacuteAtildecedilIgrave(AElig5IumlgeacuteWsup1ordm|AringcedilAtilde5AEligOtildeEcirc]iquest Atildediquest Ograve] g sup1AEligwAringifrac14frac12sup1Ocirc5frac14Aacutesup1Auml|raquo`AumldOgrave0AacuteIcirc~AtildeTAgrave5AumldcedilwcedilAtilde5AEligwOumlPAumldraquoiEcircsup1raquoordmAcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 OgraveuAring~raquoAgraveAacutesup1Auml|raquosup1raquo~Agrave5frac12Aring~Ecircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquo~frac14dfrac12ampAacuteAtildecedilIgrave(AEligraquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirc EacutePAtildeAacuteiacuteCcedil=Atilde5Atilde5raquo ugrave frac14draquoiEcirc divide JUiquestAEligwAring~Agrave4IcircTAacuteIcirc~frac14Aacute$AacuteIcircAtilderaquo~Atilde5ordm|frac14Aacutesup1AcircnAtildeAcircdfrac14dfrac12AringAtilde5AElig0frac14cedilAtildefrac12AumlCcedilEgraveAtildecedilyAacuteIcirc~frac14draquo uacutedivide Uacutefrac14raquoiEcircaumlAacuteIcirc~AtildeOumlPAumldAEligwsup1Aacutesup1AcircnAtilde(Aumldraquo~Atilde5AEligyfrac14ZcedilAtilde(Icirc~sup1ordm|IcircAtildecedilAacuteIcircifrac14raquo uacuteZdivide Iuml

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

Ecirc]Iumligraveraquo~sup1currenAacutesup1frac14dfrac12BAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 Atilde|IumligraveAacuteAtilde cedil4frac14Aacutesup1Auml|raquo ugravedugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not Upv ucirc eacuteWsup1ordmdAringcedilAtilde5AEligtimesfrac14iquest Eacuteiquest AgraveJ]ampUumlAcirc|Auml|frac12AringAacutesup1Auml|raquoAumlOgrave(AacuteIcirc~Atildearingfrac14AgraveAacutesup1AcircnAtildeOslashAgrave5Auml|raquoLAacuteAumldAringcedilIacuteIgravefrac14draquoifrac14ordm|AtildeEcirc`EacuteUfrac34AacuteIcircAtildeOcircfTHORN$Uumlv q w iquestiexclCcedilgsup1currenAacuteIcirc~AumldAringAacuteAacuteIcirc~Atildefrac14dEcirc~Ecircsup1Aacutesup1Aumldraquoifrac14dfrac12TAacuteAtildecedilIgrave(AElig5IumliexcleacuteWsup1ordm|AringcedilAtildeAElig Ecirc]iquest Atildediquest Ograve] g sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo AumlOgraveaeligAacuteIcirc~AtildeAgraveAumldcedilwcedilAtildeEumlAEligwOumlPAuml|raquo~Ecircsup1raquo~ordm AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 OgraveregAring~raquo~Agrave Aacutesup1AumldraquoeumlCcedilgsup1currenAacuteIcirc~Auml|AringAacuteIacuteAacuteIcircAtilde frac14|Ecirc~Ecircsup1currenAacutesup1Aumldraquoifrac14frac12FAacuteAtildecedilIgrave(AElig v raquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirceumlAEligwAring~Agrave4Icirc AacuteIcirc~frac14AacuteIgravefrac14icirc vOOtilde wpOumldivide z w Iuml

uumlnyacutenthornnyumll13YSordmY_F2

S $amp)(+-)013021+345627893lt=gt9A6CB

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIumligravesAacuteAtildecedil4frac14Aacutesup1Aumldraquogt ugrave|ugrave AgravedIumlieacuteWsup1raquoifrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12Acirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 AtildedIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIumlieacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvtimesLg sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo(AumldOgravePAacuteIcirc~AtildeAtildeAcircnAuml|frac12AringAacutesup1AumldraquoAumldOgravePAacuteIcircAtildeEgraveAgrave5Auml|raquoLAacuteAumldAringcedil-frac14draquo~EcircNtildeAacuteIcirc~AtildeEgraveAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 v Ccedilgsup1AacuteIcircAuml|AringAacuteAacuteIcircAtildeEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircFAacuteAtilde cedilIgrave w OgraveregAumldcedilEgraveAacuteIcircAtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoAumlOgraveAacuteIcircAtilde9Ograveufrac14dAgrave5AtildeAring~AEligwsup1raquo~ordmyAacuteIcirc~Atilde9Agrave5AumlZAcirc|frac14Zcedilsup1frac14draquo~AgraveAtildeIgravefrac14Aacutewcedilsup1currenicirc]Iuml

frac14Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcircnAtilde EacuteIumligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 v AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde w Agrave|Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacutefrac34 v Acircdfrac14cedilsup1frac14draquoAgrave5Atilde w-t not Upv h=AumldIgrave(Oumlifrac14cedilsup1AEligwAumldraquoOtildeAumldOgraveAacuteIcirc~Atilde$sup1raquo~sup1currenAacutesup1frac14dfrac12eAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34iexclAgrave5Auml|Igrave(OumlAringAacuteAtildeEcircAringAEligwsup1raquo~ordmAacuteIcirc~Atilde$AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde0Igravefrac14Aacutewcedilsup1currenicircv iordmdAringcedilAtildeFEacute w AacuteAumliexclAacuteIcircAtildeAuml|raquoAtildeFAgrave5AumldIgrave(Ouml~AringAacuteAtildeEcircTAringAEligwsup1raquo~ordmiexclAacuteIcircAtildeFAcircdfrac14cedilsup1frac14draquoAgrave5Atilde v ~ordm|AringcedilAtildeFAgrave w OgraveregcedilAumldIgrave AacuteIcirc~AtildeNtildeAEligfrac14dIgrave(Atildesup1raquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcirc|Atilde v iordmdAringcedilAtilde$frac14 w Iuml

uumlnyacutenthornnyumll13YSordmY_F2_a

yenKbrvbarsect =4 acirc $ ]z

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv Oslash| THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5AtildeccediliacuteAtildecedilsup1UgraveUegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_o

Si $amp)(+-)013021+345627893lt=gt9A6CB

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv ordf THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5Atildeccedilqfrac14dUgraveUsup1currenfrac34LAumldegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_y

RR-0114-SJEHANpdf
  • wwwi3sunicefr
    • httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf
Page 37: LABORATOIRE INFORMATIQUE, SIGNAUX ET SYSTEMES DE …mh/RR/2001/liste-2001.pdf · 2002. 6. 27. · [Dir01] DIRAT L. “Outils pour des Mathématiques Interactives et Distribuées”

yenKbrvbarsect =4 acirc $ zmiddotAEligwIcirc~AtildecediliquestdatildePIumlfrac14draquo~EcircdIumlnatildeAtilde AacuteIcirc~sup1frac14draquoS] uacute4^ ziquest` eacutecedilAuml|raquoLAacuteAEligeOumlcedilAumldOumlifrac14ordmnfrac14Aacutesup1raquoordmCcedilgsup1currenAacuteIcircFAgrave5AringcedilAcirc|frac14ZAacuteAringcedilAtildeEumlEcircAtilde5OumlPAtilde5raquoiEcircAtilde5raquoLAacuteBAEligwOumlPAtildeAtildeEcircS]

agravefrac12ordm|Aumlcedilsup1AacuteIcircIgrave(AEligEacute~frac14dAEligwAtildeEcircaumlAuml|raquoiexclampfrac14Igrave(sup1frac12AacuteAumldraquoEumldnfrac14Agrave5Auml|Eacutesup1eacute~AumldcedilIgraveNtildeAring~frac12frac14Aacutesup1Auml|raquoSaIuml poundUodUp4Pl|oqiexcloshyiUrsldrRtcoPl|sect=U~tc ordfenot iquest uacutedivide4yEqE^ Iumlfefrac14cedil4frac14ordm|sup1Auml|AElig5iquestoNtildeIumlfrac14draquo~EcircIacuteszligyIuml]THORNampAtildecedilsup1Agrave4Icirc~AtildeJ] uacute4^z^J^ iquest`s[Atilde5AumlUEcircAtildeAEligwsup1Agravefrac14AgraveAacutesup1AcircnAtildeFcedilAtilde5ordmdsup1Auml|raquo~AElig$OgraveregAumldcedil0Igrave(AumldAacutesup1Auml|raquoTAtilde5AEligqAacutesup1Igravefrac14Aacutesup1Aumldraquofrac14draquoiEcircAacutewcedil4frac14dAgrave4UgraveUsup1raquoordmAaIumligraveiacuteraquoS] x4rv p ildrRtcodil|-ov pwv P4vFodOslashodshyiUrv paumlumltutco Iumleh=AumldcedilwOgraveregAringgt[cedilAtilde5Atilde5Agrave5Atilde|Iumlfefrac14AacuteAtilde5Aringicirc]iquestatilde]Iuml] dividedugravedugrave|ugrave iquestpound`currenatildeOuml~frac14Aacutesup1frac14dfrac12AEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoTAumldOgrave=Agrave5Auml|frac12Aumlcedilysup1Igravefrac14ordm|Atilde5AEligampfrac14dAgrave5Agrave5Aumlcedil4Ecircsup1raquo~ordmAacuteAumlUacuteaacuteTHORNaringOgraveregAumldcedilIgravefrac14dfrac12currenEumlsup1AEligwIgraveaIumlyigraveraquo13] x4~rv p4PlrRtcodPld=od5v pv i vodododpFtu pwl4UtcldPx4shyl not vysectpqo v tu not Iumlatildefrac14dsup1raquoLAacute UumleAacutesup1Atilderaquo~raquo~Atildediquestieacutecedil4frac14raquo~Agrave5AtildedIumlfcedilAtildeAgrave5sup1Auml|AEligwAumliquesteacute=IumlEgravefrac14raquoiEcirc aacuteIacuteIumlcurrenZEgravefrac14cedilfrac12frac14dAring~EcircS] dividedugrave|ugraveUuacute iquest` Z-EumliacuteatildeUOuml~frac12sup1raquo~Atildeaumlfrac14dAgrave Aacutesup1Acirc|AtildeOtildeAgrave5Auml|raquoLAacuteAuml|AringcedilAEligOgraveregAumldcedilOgraveRfrac14AEligqAacuteAcircUsup1EcircAtilde5AumltimesAEligwAtilde5ordmdEumlIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoSaIumlOacuteigraveraquo13] x4rv p ildrRtcodil|od5v pv P4vaeligod x4shy(l not vUacutesectpqo4v 4tu not IumlETHEgraveIcirc~Atilde5AEligwAEligfrac14frac12Aumldraquo~sup1UgraveUsup1Riquest[cedilAtilde5Atilde5Agrave5Atilde|Iuml

szligAumldraquoOgraveufrac14cedil4EcirciquestszligyIuml] uacute_^J^q iquest` szlig9Atilde5ordmdsup1AumldraquoEumlsEacuteifrac14AEligwAtildeEcircFAEligqAacutewcedil4frac14ZAacuteAtilde5ordm|sup1Atilde5AEligeOgraveuAumlcedil-frac14dAgraveAacutesup1AcircnAtildeEgraveAgraveAuml|raquoLAacuteAuml|AringcedilIgrave(AumlUEcircAtilde5frac12AElig_aIuml x4~rv p4PldrRtcoPl|poundUodUp il|WoqodshyiUrv paumlumltutco I v dividezw iquest divideddividez^+yUdivide uacute Iuml

atildefrac14Igrave(AEligwAuml|raquoiquestzhIumliquestzIumlzZ=frac12frac14raquo~AgraveEumleacuteAtildecedil4frac14AringiEcirciquestJ[NtildeIumldagraveAringEacutePAtildecedilwAacuteiquestfrac14draquo~Ecirc dIumlJregPAtildecedilAring~Eacutesup1frac14I] dividedugravedugrave|ugrave iquest` agrave frac12Atilde5Acirc|Atilde5frac12UAEligwAtildeAacuteIgrave(AumlUEcircAtilde5frac12nOgraveregAumldcedilsup1Igravefrac14ordm|AtildeAgrave5frac12frac14dAEligwAEligwsup1siAgravefrac14ZAacutesup1Auml|raquo13aIuml x4~rv p4PlrRtcodPldpoundUodUp4Pl|BoqNtildeodshyiUrv pOtildeumltreg4tRod shy v Ew iquest uacute r4y~uacute4^Er Iuml

atildefrac14raquo~ordmdCcedilgsup1raquoAtilde|iquest9atilde]IumlEgravefrac14draquo~Ecircszlig0IumlampiexclAumldcedilraquoAtilde v Atilde5EcircAElig5Iuml w ] uacute_^J^ Uiquest ~vIacuteo|odUpaumltushyl not vipqo4v 4tu not ldP|m4oo4uml Iumlh=Icircifrac14dOumlIgravefrac14draquodegmacriexclampfrac14dfrac12frac12RIumlatildeAtildeAacuteIcircsup1frac14draquoiquestdIumlplusmn] uacute4^z^|ugrave iquestU` oAringIgrave(Atildecedilsup1Agravefrac14dfrac12Ufrac14frac12ordm|Aumldcedilsup1currenAacuteIcircIgrave(AEligWOgraveuAumldcedilOumlcedilAuml|Oumlifrac14ordmnfrac14ZAacutesup1raquoordmsup1raquoLAacuteAtildecedilwOgraveRfrac14Agrave5Atilde5AElig_]Jiexclampfrac14dIgrave(sup1frac12currenAacuteAuml|raquoEumldnfrac14dAgrave5AumldEacute~sup1

AtildeecircLAringifrac14Aacutesup1Aumldraquo~AElig-frac14draquoiEcircAgraveAuml|raquo~AEligwAtilde cedilAcirc|frac14ZAacutesup1Aumldraquo(frac12frac14CcedilgAElig_aIuml poundUodUp4Pl|]oqEgraveyen$t lv pv rRtcl| voshyv rRp~ iquest uacute4Uuacutey~uacute x uacute IumlatildeAtildeAacuteIcircsup1frac14draquoiquestAdIuml] uacute4^J^ xiquest kWvndvB]v r j v rregod IumlcurrenhEgravefrac14dIgraveNtildeEacutecedilsup1EcircordmdAtilderaquosup1AcircPIumlAfecedilAtilde5AEligwAElig5Iumlatildesup1Ecirc~Ecircsup1ecircUsup1Riquest4bIumliquest_yenNtildeIumlBfrac14Aring~Ocirc5sup1Gsup2AtildecedilAtilde|iquestagraveyIumlETHWfrac14draquoraquo~Atilde5raquoUEacute~frac14dAring~IgraveUacuteiquest5frac14draquo~EcircNtildeatildePIumlregPAring~Agrave4UgravenAtildecedil4] uacute_^J^ xUiquestE`currenagravegcedilAtildefrac149frac14draquoiEcirc$frac12Atilde5raquoordmdAacuteIcircyIgrave(sup1raquoEuml

sup1Igrave(sup1Ocirc5sup1raquoordm sup3iAumlCcedilgAEliggOgraveuAumldcedilAEligwIcircifrac14OumlPAtildeyAEligwAtilde5ordm|Igrave(Atilde5raquoLAacute4frac14ZAacutesup1Aumldraquo13aIuml xQ|||~pwl~ lnrRtcodoOtildex4shyl not vsectEgravepwo4v tu notordf v Ew iquest qEz+yqzqE Iumlyen=AtildeOcirc5Ocirc5sup1RiquestagraveyIumliquest5agrave0Iuml5ETHEgraveAEligfrac14dsup1Riquestfrac14draquo~Ecirc$agrave0Iuml Ucirc sup1frac12frac12AEligwUgraveLfrac34] uacute4^z^J^ iquestJ` agraveaeligAEligqAacute4frac14ZAacutesup1AEligqAacutesup1Agravefrac14frac12Ufrac14dOumlOumlcedilAumlnfrac14Agrave IcircampAacuteAumlgAEligwraquo~frac14dUgravenAtilde5AElig]OgraveuAumlcedilWEacutesup1Igrave(AumlUEcircfrac14dfrac12frac14draquoiEcircAacutewcedilsup1Igrave(AumlUEcirc~frac14frac12isup1Igravefrac14dordmdAtildecedilwfrac34aIumligraveraquo13] x4rv p ildrRtcodil|eodv pwv P4vyodx4shyl not vgsectpqo v tu not IumlAb$AumldEacutePAtildednfrac14dOuml~frac14draquoIumlreg]IcircUAringiquest]atilde]Iumlfrac14raquoiEcircaumlagrave0Iumleyen=Aringsup1frac12frac12AtildeJ] uacute_^J^ xUiquestpound` szlig9Atilde5ordmdsup1AumldraquotimesAgrave5AumldIgrave(OumlPAtildeAacutesup1currenAacutesup1Auml|raquo13]iAring~raquo~sup1currenOgraveYacutefrac34sup1raquoordmiexclAEligwraquo~frac14dUgravenAtilde5AElig5iquestPcedilAtildeordm|sup1Auml|raquoTordmdcedilAumlCcedilgsup1raquo~ordmiquestfrac14draquoiEcircZEgravefrac145frac34LAtilde5AEligacute|aacuteTHORNOgraveregAumldcedilIgraveFAring~frac12currenAacutesup1Eacuteifrac14raquoiEcirc sup1Igravefrac14ordm|AtildeTAEligwAtilde5ordm|Igrave(AtilderaquoUAacute4frac14ZAacutesup1Auml|raquo13aIuml xQ|||micro~pwld lnrRtcodtimesosect9ldrRrv p4Otilde9Pl| ~tuyldi j l|4Utu]vx4~rvu t not v P4v Icent iquesteJ q+yU^dugrave|ugrave Iuml

uumlnyacutenthornnyumll13YSordmY_Fordfo

i $amp)(+-)013021+345627893lt=gt9A6CBfrac12OcircacuteIshyNT

frac12OcircacuteIltNTpara frac12frac34EMeJaumlQcYZYZjJUacuteQsY H [ ^QEgraveJLhZJUO H QcN H J H MeJordfXiacute[]fcfR[WQcO[Oslash^e[]ZaringNPQsOXiacutejOb H QR[]ONPfdaringocirc|adOuml times jOcircaacute uuml times a2atildeltszligaumlgtszliglOuml times j atilde auml

G QsObnJ H MJeumlYZJ H [SXIacuteNPfcfUacute^e[]ZaringNPQsOYMNPY Oe[ H N Y H hjb H jhZJ`[SXUPJUb H [PhQcNPfOtildeYZKNPbnJSefRJ H jYZ N`PJ H MeJeumlhZJ[]QR[]OYJUP[]fVUPJ H MehZ[]j[]M NrXqNSZaringQcfVm [SX H hNPOYYX[PhlZ N H QR[]OYa(|aagraveszlig jj emiddot iacuteaumlYlZOslash[[ H MaNPO^ centQ ~JUb H QVUPJS^ not [PhNOslashKEgrave[]QcO H $ aacute atildeshyszligaumlN eFWFJTOe[ H JSaring$ aagravej|aacutemiddot|aagraveszlig $ j WiexclQ H M |a s szlig $ jaacute $OumlcopytimesaagravejOcircaacutemiddot|aagraveszliglOumlutimesdj WiexclQ H M |a s szliglOumlcopytimesAjOcircaacuteAumlOumlutimes9J H jY H MeJUO^JOeJ H MeJordfUPJUfR[WbLQ H moUPJUb H [PhdY JUfs^kfrac12 YZjbM H MN H aringfrac12sup1aagraveszlig $ aagravejj|aacute aelig |aelig agrave aagraveszlig $ j YlaquoXiacuteNiharingNPY H MeJ bn[]ZOslashKj H N H QR[]O[SX H MeJ ^eJLhQU~N H QVUPJ QcYOslashbn[]ObnJLhOeJU^OeWFJNihZJQcOWVH JLhZJUY H JU^ QcO YYZaringNPfcfOtilde^JX[PhlZ N H QR[]OY^ J H MBjYJkWKNPO^ H MeJ H hNPOYX[PhZaringN H QR[]ONPbLbn[Ph^QcO[ H [hdY H [Ph^eJLh NmWfR[PhyacuteXiacute[PhlZtimesjfcNaring|aagraveszlig $ jpoundaacuteAElig|a s szlig $ j agrave aelig |aelig agrave a s szlig $ jaacute $ ragrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacute frac14 frac14 a s szlig $ j^ J H MeJUOQcO H hZ[W^jbnJ H MehZJLJgZ NPQcO^eJOQ H QR[]OYaringf^QMeJg0jfRJLhQcNPO^eJLhQU~N H QVUPJOtilde[SXocirc|adOuml times jordfaqQcO H MeJIacute^QRhZJUb H QR[]O[SXcedilfrac12jaring ocirc|adOumlcopytimesszlig_frac12jOcircaacutefcQZUcedil iacute ocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave admacrfj ^QMeJgZaringN H JLhQsNPfg^eJLhQVUiN H QVUPJOtilde[SXuumlStimesYa $ szliglOumlcopytimes)jaringsup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j|aacutefcQZUcedil iacute uumlStimesa $ ragrave3frac12ba $ jszliglOumlutimes agrave3frac12sup1a $ jj uuml]timesa $ szliglOumlcopytimesdjagrave admacr j^QMeJaumlYZMNiKEgraveJOtilde^eJLhQU~N H QVUPJOtilde[SXOcircuuml]timesa $ szliglOumlutimes)jaring

uumlnotraquotimes a $ szliglOumlcopytimesUcircszlig_frac12 jaacutefcQZUcedil iacute uumlStimesYa $ szliglOumlutimesragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave admacrS]j

uumlnyacutenthornnyumll13YSordmY_Fordfy

yenKbrvbarsect =4 acirc $ hq centUWQR[]jYZfVmSe-centmaJkBKNPO^QcO[ admacr jUacuteNPbLbn[Ph^QcOF[ H [hdY H [Phd^eJLhordfNmBfR[PhordfXiacute[PhlZtimesjfcNeWFJaumlMNUPJSaring sup1uumlStimesYa $ szliglOumlcopytimesUcircszlig_frac12 jaacuteAumluumlnotraquotimes a $ szliglOumlcopytimesszlig_frac12jhuumlStimesa $ szliglOumlcopytimes)j frac12sup1a $ j admacrj J H MeJUOabn[]ZOslashK-j H JZOslash[PhJaumlKhZJUbLQcYZJUfVm H MJ0jfRJLhQcNPO ^eJLhdQVU~N H QUPJauml[SXcopyocirc|adOumlcopytimesdj^ JMNUPJSaringocircOcircadOumlutimesaagravejj ocircOcircadOumlutimes)jagrave aacute fagrave = thorn yuml uuml times a $ aagravejszliglOuml times aagravejj $ uuml times a $ szliglOuml times j $ FH admacrSmacr]j5O H MJohY H QcO H J[PhdNPfdeltWFJZaringN`PJ H MeJU~NihdQcNicentfRJ bMNPO[PJ $ aagravejaacute $ agrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacuteethicirc7a2atildeshyszligaumlFjszligicirc cent a2atildeltszligaumlj eWMQcbdM[]QVUPJUYaring thorn yuml uuml]timesYa $ aagravejszliglOumlcopytimesYaagravejj $ aacute admacrS]j

5 uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlutimes agrave3frac12sup1a $ jjlt^eJ H ocirc a $ jlt $WMJLhZJocirc a $ jQcY H MeJgXiacute[]fcfR[WQcO[aringSNPbn[PcentQcNPOtZaringN H hdQkKaring

ocirc a $ jaacute oacute fcedilxagrave frac14 iacute oslashfrac14Uordm agrave frac14 iacute oslashfrac14 ugraveagrave frac14 iacute acircfrac14ordm fcedil agrave frac14 iacute acircfrac14 ugrave ocircNPO^ YZ[eFWNtildeJIacuteMNUPJSaring

^eJ H ocirc a $ jOcircaacute fUragravee^QVUKafrac34frac12sup1a $ jjragrave cent ^eJ H amacr frac12sup1a $ jjMJUOWNtildeJauml[Pcent H NPQcOOaring

fsQZcedil iacute ^eJ H ocirc a $ j fagrave aacute ^QVUKafrac34frac12sup1a $ jj admacr]zSjMJJBjN H QR[]OxadmacrSmacr]j H MeJUOcent=JUbn[]ZaringJUYaringocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave aacute fagrave middot uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jjlt 13raquo ocirc a $ jlt $ uumlStimesa $ szliglOumlcopytimesAj $ admacrSi]j JTbLNPO`YZjeKKEgrave[]YJ H MN H ^eJ H aocirc a $ jjfrac14aacute sfrac12 agrave frac12 $ ^ JZaringNm H MeJUO H N`PJ^eJ H aocirc a $ jjfrac34 s eNPO^ WNtildeJ ^eJUPJUfR[PK H MeJaJkWKhZJUYYZQR[]OadmacrSi]j NPYoX[]fsfR[WQsO[centmNP^^QcO[aringN H JLhZ QcO H MeJIacuteYZJUbn[]O^aQcO H J[PhNPfltWMQcfcJaumlYZjeKKhJUYZYZQcO[ H MeJtimesYZNSZOslashJ H JLhlZQcO H MJordfhY H QcO H J[PhNPfdaring ocirc|adOumlcopytimesYaagravejj ocirc|adOumlcopytimes)jagrave aacuteegraveOtildef1rOtilde cent admacrSh]j

uumlnyacutenthornnyumll13YSordmY_Fordf

s $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJSaring

Otilde aacute uuml]timesa $ ragrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave ^eJ H aocirc a $ jj $ ad s jOtilde cent aacute uuml]timesa $ szliglOumlcopytimesdj ^eJ H aocirc a $ jj fagrave $ adfj

9J H jY_ZaringN`PJordmagrave H JUO^ H [WNih^Y s ^curreniquestYZQcO[frac34admacrjiexclNPO^JOQ H Qc[]OYadmacr e macrS]jeWFJ[PJ H aringfcQZUcedil iacute Otilde aacute sup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j $

aacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ uuml times a $ szliglOuml times j frac12sup1a $ j $fcQZUcedil iacute Otilde cent aacute uuml]timesa $ szliglOumlcopytimesdj^QVUKafrac34frac12 j $

O^ Y[Xiacute[Ph H MeJgNtildejfRJLhQsNPO ^eJLhQVUiN H QVUPJSeWFJgO^Oaring ocirc|adOuml times szlig_frac12jumlaacuteyacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ amacrreguumlStimesYa $ szliglOumlcopytimes)j frac12sup1a $ j7 uuml]timesYa $ szliglOumlcopytimes)j^QVUKafrac34frac12sup1a $ jjj $aacute uumlnotraquotimes a $ szliglOuml times szlig_frac12j $ ^QVUKaduuml times frac12j $ ad j

MeJUO NiKKfVmWQcO[ H MJ hJLJUOWVAQRJZ NPOO H MeJL[PhZJZQcO ad jeWNtildeJ5ONPfcfmtimes[Pcent H NPQcOOaring ocirc|adOumlcopytimesszlig_frac12jOcircaacute uuml raquotimes a $ szliglOumlcopytimesUcircszlig_frac12j $ uacutefrac14 5 uuml]timesYafrac34frac12 eacuteAgraveiquestsup1AacuteAtildeAcircj THORN adS]jWMJLhZJ5eacuteAgraveiquestsup1AacuteAtildeAcircyQcY H MeJUacutejOQ H QcOOgraveWNih^ Oe[PhlZaringNPf H [ aelig OumlcopytimesUcirc^MeJ_NtildejfRJLhQcNPO ^eJLhQVUiN H QVUPJQcY(O[ H JU^ ocirc raquo aagravej(QcO H MeJaumlKNiKEgraveJLhNPO^ H MeJaumlYZMNiKEgraveJauml^eJLhQU~N H QVUPJyuuml raquotimes QcY(Oe[ H JU^ frac14 frac14 ^iquest acutemicrosup1cedilFLft not [PhyYQZOslashKfcQsbLQ H mSeWNtildeJ(bM[[]YJ H MeJcopyXiacute[]fcfR[WQcO[_U~NihQsN H QR[]OaeligQcO H MeJKhZ[B[SXaring$ aagravejaacute $ agrave3frac12sup1a $ j^MJiexclKh[[SXZaringNm NPfcYZ[IacutecentEgraveJiexcl^JUPJUfR[PKEgraveJU^WiexclQ H MZaring[PhZJ_[PJUOJLhNPfUiNihQcN H QR[]OYFYjbM NPYaring $ aagravejaacuteAacuteAgravea $ szligYagravejWQ H MAcircAgrave`NOslashYYZOslash[B[ H MXiacutejOb H QR[]ONPO^AcircAgravea szligYagravejcentQ ~5JUb H QVUPJS^

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ ffrac12OcircacuteIshyNT AcircE J(MNUPJ H [Otildebn[]ZOslashK-j H J H MJNtilde^QEgraveJLhZJUO HH JLhZaringY9[SXQa macr]j9QsOauml[Ph^eJLh H [Uacute[Pcent H NPQcO H MeJ

JUP[]fcj H QR[]OJBjN H QR[]O[SX H MeJ NPb H QUPJ bn[]O H []jehX[Ph H MeJ ^JUYZbnhQRK H [PhdYaumlcentNPYJU^Oacute[]OH MeJ(bn[U~NihQsNPObnJ ZaringN H hQVktimes^eJ H JLhlZ QcONPO H a2Ograveh]j^OgraveMeJ(bn[]ZOslashKj H N H QR[]OaringQcYampKEgraveJLhYXiacute[PhlZOslashJU^Xiacute[Ph H MeJIacute^eJUYZbnhQRK H [Ph_uuml thorn timesOslash yuml ^ q centUWQR[]jYZfmSeN YZQZ QcfcNihbn[]ZOslashKj H N H QR[]OabLNPOacent=JIacute^e[]OeJXiacute[PhOcircuuml thorn UgraveUcircUacuteUuml yuml ^ JiexclbLNPOaeligJkBKhJUYZYOcircuuml thorn timesOslash yuml NPYyNUacutebn[]ZTcent-QcON H QR[]Oaelig[SXgtXiacutejOb H QR[]OYamp^eJLKEgraveJUO^QcOF[[]O H MJOtildehZJ[]QR[]OwOuml timesOslash aring

uumlgtthorn times Oslash yuml a2atildeltszligaumlgtszligYagravejaacute`Ograveoacute m thorn timesOslash yumlaIgraveagrave thorn timesOslash yumlAtilde j cent ocirc adjWMJLhZJordmaacuteAuml85eWiexclQ H MAring8 H MeJordfXqjOb H Qc[]O QcO H h[B^jbnJU^ QcOpounda2Ograveh]je-NPO^aringm thorn timesOslash yuml aacute agrave thorn timesOslash yuml agrave thorn timesOslash yumlcent agrave thorn timesOslash yuml agrave thorn timesOslash yumlAElig agrave thorn times Oslash yumlCcedil agrave thorn timesOslash yumlEgrave agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlEgrave j cent agrave thorn times Oslash yumlcent aIgraveagrave thorn timesOslash yumlCcedil j cent agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlAElig j centWQ H MOaring EFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFH

agrave thorn timesOslash yuml aacute w$ thorn yuml aOtilde S times Oslash j cent atilde aumlagrave thorn timesOslash yumlcent aacute w$ thorn yuml aOtildeOgravecent Scenttimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yuml aacute w$ thorn yuml aOtildeS Stimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yumlAElig aacute w$ thorn yuml aOtilde S times Oslash jaOtildeOgravecent ScenttimesOslash j atilde aumlagrave thorn timesOslash yumlCcedil aacute w$ thorn yuml aOtilde S times Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlEgrave aacute w$ thorn yuml aOtilde cent S centtimes Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlAtilde aacute w$ thorn yuml atilde auml O^ Y[ H MJordfXiacutejOb H QR[]OY aelig thorn timesOslash yumlauml MNUPJ H MeJgXiacute[]fcfR[WiexclQcO[aeligJkBKhZJUYZYZQR[]OYaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

aelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlcent aacute aOtilde cent S centtimesOslash j centaelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlAElig aacute aOtilde S timesOslash jaOtilde cent S centtimesOslash jaelig thorn times Oslash yumlCcedil aacute aOtilde S timesOslash jaOtilde S timesOslash jaelig thorn times Oslash yumlEgrave aacute aOtildeOgravecent ScenttimesOslash jaOtilde13 StimesOslash jaelig thorn times Oslash yumlAtilde aacutemiddotf

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBnot h[]Z H MeJUYJaumlJkWKhZJUYYZQR[]OYeWFJOtildeJUNPYZQcfm ^eJU^jbnJ H MN H aring

$ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde aumlregaacute sEacutefrac12poundEcirc iuml

J H MeJUO MNUPJ H [Tbn[]ZaringKj H J H MeJ H JLhlZaringY eacute thorn times Oslash yumlauml XiacutehZ[]Z H MeJJkWKhZJUYZYQR[]OYamp[SXagrave thorn timesOslash yumlauml eWMQcbM fRJUNP^Y H [aringEFFFFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFFFFH

eacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideoslash aacute w$ thorn yuml uacute ouml $ordfdivideacirc uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIgrave yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H a timesOslash jjeacute thorn timesOslash yumlcent aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideacirc

aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIcirc yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideEuml aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideacirc thorn thorn uacute ouml $_divideIuml yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yumlAElig aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIuml aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideEuml uacute ouml $ordfdivideIuml thorn uacute ouml $_divideIcirc uacute ouml $ordfdivideIgrave yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlCcedil aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIcirc aacute w$ thorn yuml cent thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideacirc uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlEgrave aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIgrave aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideoslash uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlAtilde aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIacute aacute w$ thorn yuml thorn +ETH ouml $_dividethorn uacute ouml $ordfdivideIacute yuml Iuml 8 raquo aq^J H a timesOslash jj

O^centmJkWKhZJUYZYZQsO[ H MeJbn[UiNihQcNPObnJZaringN H hQVkpoundWQ H M H MJregXqjOb H QR[]OYagrave thorn timesOslash yumlauml NPYXiacute[]fcfR[WQcO[aring

timesOslashlaquoaacute 1NtildeNtildeNtildeNtildeNtildeNtilde3uacute ouml $ordfdivideoslashuacute ouml $ordfdivideIacute uacute ouml $_divideIumluacute ouml $_divideIacute uacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIumluacute ouml $ordfdivideIacute uacute ouml $_divideacircuacute ouml $_divideIacute uacute ouml $ordfdivideIgraveuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacute uacute ouml $_divideIgraveuacute ouml $_divideIacute uacute ouml $ordfdivideEumluacute ouml $ordfdivideIacute

6OgraveOgraveOgraveOgraveOgraveOgrave7 J H MJUO^eJU^jbnJSaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

eacute thorn times Oslash yuml aacute a fj thorn yuml ^eJ H aDC Ptimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlcent aacute a fj thorn centcent yuml ^eJ H aDC centcenttimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yuml aacute a fj thorn curren yuml ^eJ H aDC 4times Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlAElig aacute a fj thorn cent yuml ^eJ H aDC centtimes Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlCcedil aacute a fj thorn curren yuml ^eJ H aDC times Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlEgrave aacute a fj thorn centcurren yuml ^eJ H aDCcent4times Oslash j48 raquo aq^eJ H a timesOslash jjeacute thorn times Oslash yumlAtilde aacute amp^eJ H a timesOslash j48 raquo aq^eJ H a timesOslash jj

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ SWMJLhZJC EBtimesOslash QcY H MeJgZaringN H hdQk ^eJU^jbnJU^Xh[]ZOacutetimesOslasharingcentm YZjeKKhZJUYZYZQcOF[ H MeJyuuml UumlON hZ[WNPO^ H MJ I UumlON bn[]fcjFZaringOO^]MeJbn[]ZOslashKj H N H Qc[]OordmX[Ph H MeJ^eJUYZbnhdQRK H [Ph|uuml thorn UgraveUcircUacuteUuml yuml QcYyYQZaringQcfcNihNPO^WFJ H MeJUOOslashMNUPJNPfcf H MeJ(JkWKhZJUYZYZQc[]OY H [aumlbn[]ZOslashKj H J H MeJJUP[]fcj H QR[]OaeligJjN H QR[]OXiacutehZ[]Z H MeJg[PJUOJLhNPfOXiacute[PhlZIacutejfcNta macr]j^gtMQcYcopy[]QVUPJUY H MeJTJUP[]fcj H QR[]O JBjN H QR[]Osup1admacr s j^

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBΩ out

Objects

Γ

inΩ

inΩ

Background Part

-t not Upv copy ETHEgraveIcircAtildeampAacuteiacuteCcedil=AumlFcedilAtilde5ordm|sup1Aumldraquo~AElig9AumldOgravefrac14raquoUacutesup1Igravefrac14dordm|Atilde

Ω

Ω out (τ)Ω

(τ)in

N

Γ(τ)

Ω

N

v

w

N

-t not Upv ETHEgraveIcircAtildeyEcircAumldIgravefrac14dsup1raquo~AEliggfrac14raquoiEcircAacuteIcircAtilde$AcircnAtilde5AgraveAacuteAumlcedilAEliggsup1raquoUAcircnAumldfrac12AcircnAtildeEcircsup1raquoiexclAacuteIcirc~Atilde$EcircAtildecedilsup1Acirc|frac14ZAacutesup1Aumldraquo

uumlnyacutenthornnyumll13YSordmY_F2ordf

yenKbrvbarsect =4 acirc $ Smacr

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 Atilde|IumligraveAacuteAtildecedil4frac14ZAacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvyzU eacuteWsup1ordm|AringcedilAtilde5AEligfrac14iquest Eacuteiquest AgraveJ]iUumlAcircnAumldfrac12AringAacutesup1Auml|raquoOtildeAumlOgraveeAacuteIcirc~Atildeyfrac14dAgrave Aacutesup1Acirc|Atilde0AgraveAuml|raquoLAacuteAuml|AringcedilIgravefrac14raquoifrac14ordm|AtildeEcircUacuteEacuteLfrac34AacuteIcirc~AtildefTHORN$Uuml v qzqwsup1raquo~Agrave5frac12AringiEcircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquoifrac14frac12ampAacuteAtildecedilIgrave(AElig5IumlgeacuteWsup1ordm|AringcedilAtilde5AEligOtildeEcirc]iquest Atildediquest Ograve] g sup1AEligwAringifrac14frac12sup1Ocirc5frac14Aacutesup1Auml|raquo`AumldOgrave0AacuteIcirc~AtildeTAgrave5AumldcedilwcedilAtilde5AEligwOumlPAumldraquoiEcircsup1raquoordmAcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 OgraveuAring~raquoAgraveAacutesup1Auml|raquosup1raquo~Agrave5frac12Aring~Ecircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquo~frac14dfrac12ampAacuteAtildecedilIgrave(AEligraquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirc EacutePAtildeAacuteiacuteCcedil=Atilde5Atilde5raquo ugrave frac14draquoiEcirc divide JUiquestAEligwAring~Agrave4IcircTAacuteIcirc~frac14Aacute$AacuteIcircAtilderaquo~Atilde5ordm|frac14Aacutesup1AcircnAtildeAcircdfrac14dfrac12AringAtilde5AElig0frac14cedilAtildefrac12AumlCcedilEgraveAtildecedilyAacuteIcirc~frac14draquo uacutedivide Uacutefrac14raquoiEcircaumlAacuteIcirc~AtildeOumlPAumldAEligwsup1Aacutesup1AcircnAtilde(Aumldraquo~Atilde5AEligyfrac14ZcedilAtilde(Icirc~sup1ordm|IcircAtildecedilAacuteIcircifrac14raquo uacuteZdivide Iuml

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

Ecirc]Iumligraveraquo~sup1currenAacutesup1frac14dfrac12BAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 Atilde|IumligraveAacuteAtilde cedil4frac14Aacutesup1Auml|raquo ugravedugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not Upv ucirc eacuteWsup1ordmdAringcedilAtilde5AEligtimesfrac14iquest Eacuteiquest AgraveJ]ampUumlAcirc|Auml|frac12AringAacutesup1Auml|raquoAumlOgrave(AacuteIcirc~Atildearingfrac14AgraveAacutesup1AcircnAtildeOslashAgrave5Auml|raquoLAacuteAumldAringcedilIacuteIgravefrac14draquoifrac14ordm|AtildeEcirc`EacuteUfrac34AacuteIcircAtildeOcircfTHORN$Uumlv q w iquestiexclCcedilgsup1currenAacuteIcirc~AumldAringAacuteAacuteIcirc~Atildefrac14dEcirc~Ecircsup1Aacutesup1Aumldraquoifrac14dfrac12TAacuteAtildecedilIgrave(AElig5IumliexcleacuteWsup1ordm|AringcedilAtildeAElig Ecirc]iquest Atildediquest Ograve] g sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo AumlOgraveaeligAacuteIcirc~AtildeAgraveAumldcedilwcedilAtildeEumlAEligwOumlPAuml|raquo~Ecircsup1raquo~ordm AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 OgraveregAring~raquo~Agrave Aacutesup1AumldraquoeumlCcedilgsup1currenAacuteIcirc~Auml|AringAacuteIacuteAacuteIcircAtilde frac14|Ecirc~Ecircsup1currenAacutesup1Aumldraquoifrac14frac12FAacuteAtildecedilIgrave(AElig v raquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirceumlAEligwAring~Agrave4Icirc AacuteIcirc~frac14AacuteIgravefrac14icirc vOOtilde wpOumldivide z w Iuml

uumlnyacutenthornnyumll13YSordmY_F2

S $amp)(+-)013021+345627893lt=gt9A6CB

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIumligravesAacuteAtildecedil4frac14Aacutesup1Aumldraquogt ugrave|ugrave AgravedIumlieacuteWsup1raquoifrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12Acirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 AtildedIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIumlieacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvtimesLg sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo(AumldOgravePAacuteIcirc~AtildeAtildeAcircnAuml|frac12AringAacutesup1AumldraquoAumldOgravePAacuteIcircAtildeEgraveAgrave5Auml|raquoLAacuteAumldAringcedil-frac14draquo~EcircNtildeAacuteIcirc~AtildeEgraveAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 v Ccedilgsup1AacuteIcircAuml|AringAacuteAacuteIcircAtildeEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircFAacuteAtilde cedilIgrave w OgraveregAumldcedilEgraveAacuteIcircAtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoAumlOgraveAacuteIcircAtilde9Ograveufrac14dAgrave5AtildeAring~AEligwsup1raquo~ordmyAacuteIcirc~Atilde9Agrave5AumlZAcirc|frac14Zcedilsup1frac14draquo~AgraveAtildeIgravefrac14Aacutewcedilsup1currenicirc]Iuml

frac14Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcircnAtilde EacuteIumligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 v AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde w Agrave|Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacutefrac34 v Acircdfrac14cedilsup1frac14draquoAgrave5Atilde w-t not Upv h=AumldIgrave(Oumlifrac14cedilsup1AEligwAumldraquoOtildeAumldOgraveAacuteIcirc~Atilde$sup1raquo~sup1currenAacutesup1frac14dfrac12eAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34iexclAgrave5Auml|Igrave(OumlAringAacuteAtildeEcircAringAEligwsup1raquo~ordmAacuteIcirc~Atilde$AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde0Igravefrac14Aacutewcedilsup1currenicircv iordmdAringcedilAtildeFEacute w AacuteAumliexclAacuteIcircAtildeAuml|raquoAtildeFAgrave5AumldIgrave(Ouml~AringAacuteAtildeEcircTAringAEligwsup1raquo~ordmiexclAacuteIcircAtildeFAcircdfrac14cedilsup1frac14draquoAgrave5Atilde v ~ordm|AringcedilAtildeFAgrave w OgraveregcedilAumldIgrave AacuteIcirc~AtildeNtildeAEligfrac14dIgrave(Atildesup1raquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcirc|Atilde v iordmdAringcedilAtilde$frac14 w Iuml

uumlnyacutenthornnyumll13YSordmY_F2_a

yenKbrvbarsect =4 acirc $ ]z

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv Oslash| THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5AtildeccediliacuteAtildecedilsup1UgraveUegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_o

Si $amp)(+-)013021+345627893lt=gt9A6CB

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv ordf THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5Atildeccedilqfrac14dUgraveUsup1currenfrac34LAumldegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_y

RR-0114-SJEHANpdf
  • wwwi3sunicefr
    • httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf
Page 38: LABORATOIRE INFORMATIQUE, SIGNAUX ET SYSTEMES DE …mh/RR/2001/liste-2001.pdf · 2002. 6. 27. · [Dir01] DIRAT L. “Outils pour des Mathématiques Interactives et Distribuées”

i $amp)(+-)013021+345627893lt=gt9A6CBfrac12OcircacuteIshyNT

frac12OcircacuteIltNTpara frac12frac34EMeJaumlQcYZYZjJUacuteQsY H [ ^QEgraveJLhZJUO H QcN H J H MeJordfXiacute[]fcfR[WQcO[Oslash^e[]ZaringNPQsOXiacutejOb H QR[]ONPfdaringocirc|adOuml times jOcircaacute uuml times a2atildeltszligaumlgtszliglOuml times j atilde auml

G QsObnJ H MJeumlYZJ H [SXIacuteNPfcfUacute^e[]ZaringNPQsOYMNPY Oe[ H N Y H hjb H jhZJ`[SXUPJUb H [PhQcNPfOtildeYZKNPbnJSefRJ H jYZ N`PJ H MeJeumlhZJ[]QR[]OYJUP[]fVUPJ H MehZ[]j[]M NrXqNSZaringQcfVm [SX H hNPOYYX[PhlZ N H QR[]OYa(|aagraveszlig jj emiddot iacuteaumlYlZOslash[[ H MaNPO^ centQ ~JUb H QVUPJS^ not [PhNOslashKEgrave[]QcO H $ aacute atildeshyszligaumlN eFWFJTOe[ H JSaring$ aagravej|aacutemiddot|aagraveszlig $ j WiexclQ H M |a s szlig $ jaacute $OumlcopytimesaagravejOcircaacutemiddot|aagraveszliglOumlutimesdj WiexclQ H M |a s szliglOumlcopytimesAjOcircaacuteAumlOumlutimes9J H jY H MeJUO^JOeJ H MeJordfUPJUfR[WbLQ H moUPJUb H [PhdY JUfs^kfrac12 YZjbM H MN H aringfrac12sup1aagraveszlig $ aagravejj|aacute aelig |aelig agrave aagraveszlig $ j YlaquoXiacuteNiharingNPY H MeJ bn[]ZOslashKj H N H QR[]O[SX H MeJ ^eJLhQU~N H QVUPJ QcYOslashbn[]ObnJLhOeJU^OeWFJNihZJQcOWVH JLhZJUY H JU^ QcO YYZaringNPfcfOtilde^JX[PhlZ N H QR[]OY^ J H MBjYJkWKNPO^ H MeJ H hNPOYX[PhZaringN H QR[]ONPbLbn[Ph^QcO[ H [hdY H [Ph^eJLh NmWfR[PhyacuteXiacute[PhlZtimesjfcNaring|aagraveszlig $ jpoundaacuteAElig|a s szlig $ j agrave aelig |aelig agrave a s szlig $ jaacute $ ragrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacute frac14 frac14 a s szlig $ j^ J H MeJUOQcO H hZ[W^jbnJ H MehZJLJgZ NPQcO^eJOQ H QR[]OYaringf^QMeJg0jfRJLhQcNPO^eJLhQU~N H QVUPJOtilde[SXocirc|adOuml times jordfaqQcO H MeJIacute^QRhZJUb H QR[]O[SXcedilfrac12jaring ocirc|adOumlcopytimesszlig_frac12jOcircaacutefcQZUcedil iacute ocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave admacrfj ^QMeJgZaringN H JLhQsNPfg^eJLhQVUiN H QVUPJOtilde[SXuumlStimesYa $ szliglOumlcopytimes)jaringsup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j|aacutefcQZUcedil iacute uumlStimesa $ ragrave3frac12ba $ jszliglOumlutimes agrave3frac12sup1a $ jj uuml]timesa $ szliglOumlcopytimesdjagrave admacr j^QMeJaumlYZMNiKEgraveJOtilde^eJLhQU~N H QVUPJOtilde[SXOcircuuml]timesa $ szliglOumlutimes)jaring

uumlnotraquotimes a $ szliglOumlcopytimesUcircszlig_frac12 jaacutefcQZUcedil iacute uumlStimesYa $ szliglOumlutimesragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave admacrS]j

uumlnyacutenthornnyumll13YSordmY_Fordfy

yenKbrvbarsect =4 acirc $ hq centUWQR[]jYZfVmSe-centmaJkBKNPO^QcO[ admacr jUacuteNPbLbn[Ph^QcOF[ H [hdY H [Phd^eJLhordfNmBfR[PhordfXiacute[PhlZtimesjfcNeWFJaumlMNUPJSaring sup1uumlStimesYa $ szliglOumlcopytimesUcircszlig_frac12 jaacuteAumluumlnotraquotimes a $ szliglOumlcopytimesszlig_frac12jhuumlStimesa $ szliglOumlcopytimes)j frac12sup1a $ j admacrj J H MeJUOabn[]ZOslashK-j H JZOslash[PhJaumlKhZJUbLQcYZJUfVm H MJ0jfRJLhQcNPO ^eJLhdQVU~N H QUPJauml[SXcopyocirc|adOumlcopytimesdj^ JMNUPJSaringocircOcircadOumlutimesaagravejj ocircOcircadOumlutimes)jagrave aacute fagrave = thorn yuml uuml times a $ aagravejszliglOuml times aagravejj $ uuml times a $ szliglOuml times j $ FH admacrSmacr]j5O H MJohY H QcO H J[PhdNPfdeltWFJZaringN`PJ H MeJU~NihdQcNicentfRJ bMNPO[PJ $ aagravejaacute $ agrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacuteethicirc7a2atildeshyszligaumlFjszligicirc cent a2atildeltszligaumlj eWMQcbdM[]QVUPJUYaring thorn yuml uuml]timesYa $ aagravejszliglOumlcopytimesYaagravejj $ aacute admacrS]j

5 uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlutimes agrave3frac12sup1a $ jjlt^eJ H ocirc a $ jlt $WMJLhZJocirc a $ jQcY H MeJgXiacute[]fcfR[WQcO[aringSNPbn[PcentQcNPOtZaringN H hdQkKaring

ocirc a $ jaacute oacute fcedilxagrave frac14 iacute oslashfrac14Uordm agrave frac14 iacute oslashfrac14 ugraveagrave frac14 iacute acircfrac14ordm fcedil agrave frac14 iacute acircfrac14 ugrave ocircNPO^ YZ[eFWNtildeJIacuteMNUPJSaring

^eJ H ocirc a $ jOcircaacute fUragravee^QVUKafrac34frac12sup1a $ jjragrave cent ^eJ H amacr frac12sup1a $ jjMJUOWNtildeJauml[Pcent H NPQcOOaring

fsQZcedil iacute ^eJ H ocirc a $ j fagrave aacute ^QVUKafrac34frac12sup1a $ jj admacr]zSjMJJBjN H QR[]OxadmacrSmacr]j H MeJUOcent=JUbn[]ZaringJUYaringocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave aacute fagrave middot uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jjlt 13raquo ocirc a $ jlt $ uumlStimesa $ szliglOumlcopytimesAj $ admacrSi]j JTbLNPO`YZjeKKEgrave[]YJ H MN H ^eJ H aocirc a $ jjfrac14aacute sfrac12 agrave frac12 $ ^ JZaringNm H MeJUO H N`PJ^eJ H aocirc a $ jjfrac34 s eNPO^ WNtildeJ ^eJUPJUfR[PK H MeJaJkWKhZJUYYZQR[]OadmacrSi]j NPYoX[]fsfR[WQsO[centmNP^^QcO[aringN H JLhZ QcO H MeJIacuteYZJUbn[]O^aQcO H J[PhNPfltWMQcfcJaumlYZjeKKhJUYZYZQcO[ H MeJtimesYZNSZOslashJ H JLhlZQcO H MJordfhY H QcO H J[PhNPfdaring ocirc|adOumlcopytimesYaagravejj ocirc|adOumlcopytimes)jagrave aacuteegraveOtildef1rOtilde cent admacrSh]j

uumlnyacutenthornnyumll13YSordmY_Fordf

s $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJSaring

Otilde aacute uuml]timesa $ ragrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave ^eJ H aocirc a $ jj $ ad s jOtilde cent aacute uuml]timesa $ szliglOumlcopytimesdj ^eJ H aocirc a $ jj fagrave $ adfj

9J H jY_ZaringN`PJordmagrave H JUO^ H [WNih^Y s ^curreniquestYZQcO[frac34admacrjiexclNPO^JOQ H Qc[]OYadmacr e macrS]jeWFJ[PJ H aringfcQZUcedil iacute Otilde aacute sup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j $

aacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ uuml times a $ szliglOuml times j frac12sup1a $ j $fcQZUcedil iacute Otilde cent aacute uuml]timesa $ szliglOumlcopytimesdj^QVUKafrac34frac12 j $

O^ Y[Xiacute[Ph H MeJgNtildejfRJLhQsNPO ^eJLhQVUiN H QVUPJSeWFJgO^Oaring ocirc|adOuml times szlig_frac12jumlaacuteyacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ amacrreguumlStimesYa $ szliglOumlcopytimes)j frac12sup1a $ j7 uuml]timesYa $ szliglOumlcopytimes)j^QVUKafrac34frac12sup1a $ jjj $aacute uumlnotraquotimes a $ szliglOuml times szlig_frac12j $ ^QVUKaduuml times frac12j $ ad j

MeJUO NiKKfVmWQcO[ H MJ hJLJUOWVAQRJZ NPOO H MeJL[PhZJZQcO ad jeWNtildeJ5ONPfcfmtimes[Pcent H NPQcOOaring ocirc|adOumlcopytimesszlig_frac12jOcircaacute uuml raquotimes a $ szliglOumlcopytimesUcircszlig_frac12j $ uacutefrac14 5 uuml]timesYafrac34frac12 eacuteAgraveiquestsup1AacuteAtildeAcircj THORN adS]jWMJLhZJ5eacuteAgraveiquestsup1AacuteAtildeAcircyQcY H MeJUacutejOQ H QcOOgraveWNih^ Oe[PhlZaringNPf H [ aelig OumlcopytimesUcirc^MeJ_NtildejfRJLhQcNPO ^eJLhQVUiN H QVUPJQcY(O[ H JU^ ocirc raquo aagravej(QcO H MeJaumlKNiKEgraveJLhNPO^ H MeJaumlYZMNiKEgraveJauml^eJLhQU~N H QVUPJyuuml raquotimes QcY(Oe[ H JU^ frac14 frac14 ^iquest acutemicrosup1cedilFLft not [PhyYQZOslashKfcQsbLQ H mSeWNtildeJ(bM[[]YJ H MeJcopyXiacute[]fcfR[WQcO[_U~NihQsN H QR[]OaeligQcO H MeJKhZ[B[SXaring$ aagravejaacute $ agrave3frac12sup1a $ j^MJiexclKh[[SXZaringNm NPfcYZ[IacutecentEgraveJiexcl^JUPJUfR[PKEgraveJU^WiexclQ H MZaring[PhZJ_[PJUOJLhNPfUiNihQcN H QR[]OYFYjbM NPYaring $ aagravejaacuteAacuteAgravea $ szligYagravejWQ H MAcircAgrave`NOslashYYZOslash[B[ H MXiacutejOb H QR[]ONPO^AcircAgravea szligYagravejcentQ ~5JUb H QVUPJS^

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ ffrac12OcircacuteIshyNT AcircE J(MNUPJ H [Otildebn[]ZOslashK-j H J H MJNtilde^QEgraveJLhZJUO HH JLhZaringY9[SXQa macr]j9QsOauml[Ph^eJLh H [Uacute[Pcent H NPQcO H MeJ

JUP[]fcj H QR[]OJBjN H QR[]O[SX H MeJ NPb H QUPJ bn[]O H []jehX[Ph H MeJ ^JUYZbnhQRK H [PhdYaumlcentNPYJU^Oacute[]OH MeJ(bn[U~NihQsNPObnJ ZaringN H hQVktimes^eJ H JLhlZ QcONPO H a2Ograveh]j^OgraveMeJ(bn[]ZOslashKj H N H QR[]OaringQcYampKEgraveJLhYXiacute[PhlZOslashJU^Xiacute[Ph H MeJIacute^eJUYZbnhQRK H [Ph_uuml thorn timesOslash yuml ^ q centUWQR[]jYZfmSeN YZQZ QcfcNihbn[]ZOslashKj H N H QR[]OabLNPOacent=JIacute^e[]OeJXiacute[PhOcircuuml thorn UgraveUcircUacuteUuml yuml ^ JiexclbLNPOaeligJkBKhJUYZYOcircuuml thorn timesOslash yuml NPYyNUacutebn[]ZTcent-QcON H QR[]Oaelig[SXgtXiacutejOb H QR[]OYamp^eJLKEgraveJUO^QcOF[[]O H MJOtildehZJ[]QR[]OwOuml timesOslash aring

uumlgtthorn times Oslash yuml a2atildeltszligaumlgtszligYagravejaacute`Ograveoacute m thorn timesOslash yumlaIgraveagrave thorn timesOslash yumlAtilde j cent ocirc adjWMJLhZJordmaacuteAuml85eWiexclQ H MAring8 H MeJordfXqjOb H Qc[]O QcO H h[B^jbnJU^ QcOpounda2Ograveh]je-NPO^aringm thorn timesOslash yuml aacute agrave thorn timesOslash yuml agrave thorn timesOslash yumlcent agrave thorn timesOslash yuml agrave thorn timesOslash yumlAElig agrave thorn times Oslash yumlCcedil agrave thorn timesOslash yumlEgrave agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlEgrave j cent agrave thorn times Oslash yumlcent aIgraveagrave thorn timesOslash yumlCcedil j cent agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlAElig j centWQ H MOaring EFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFH

agrave thorn timesOslash yuml aacute w$ thorn yuml aOtilde S times Oslash j cent atilde aumlagrave thorn timesOslash yumlcent aacute w$ thorn yuml aOtildeOgravecent Scenttimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yuml aacute w$ thorn yuml aOtildeS Stimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yumlAElig aacute w$ thorn yuml aOtilde S times Oslash jaOtildeOgravecent ScenttimesOslash j atilde aumlagrave thorn timesOslash yumlCcedil aacute w$ thorn yuml aOtilde S times Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlEgrave aacute w$ thorn yuml aOtilde cent S centtimes Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlAtilde aacute w$ thorn yuml atilde auml O^ Y[ H MJordfXiacutejOb H QR[]OY aelig thorn timesOslash yumlauml MNUPJ H MeJgXiacute[]fcfR[WiexclQcO[aeligJkBKhZJUYZYZQR[]OYaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

aelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlcent aacute aOtilde cent S centtimesOslash j centaelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlAElig aacute aOtilde S timesOslash jaOtilde cent S centtimesOslash jaelig thorn times Oslash yumlCcedil aacute aOtilde S timesOslash jaOtilde S timesOslash jaelig thorn times Oslash yumlEgrave aacute aOtildeOgravecent ScenttimesOslash jaOtilde13 StimesOslash jaelig thorn times Oslash yumlAtilde aacutemiddotf

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBnot h[]Z H MeJUYJaumlJkWKhZJUYYZQR[]OYeWFJOtildeJUNPYZQcfm ^eJU^jbnJ H MN H aring

$ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde aumlregaacute sEacutefrac12poundEcirc iuml

J H MeJUO MNUPJ H [Tbn[]ZaringKj H J H MeJ H JLhlZaringY eacute thorn times Oslash yumlauml XiacutehZ[]Z H MeJJkWKhZJUYZYQR[]OYamp[SXagrave thorn timesOslash yumlauml eWMQcbM fRJUNP^Y H [aringEFFFFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFFFFH

eacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideoslash aacute w$ thorn yuml uacute ouml $ordfdivideacirc uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIgrave yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H a timesOslash jjeacute thorn timesOslash yumlcent aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideacirc

aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIcirc yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideEuml aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideacirc thorn thorn uacute ouml $_divideIuml yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yumlAElig aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIuml aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideEuml uacute ouml $ordfdivideIuml thorn uacute ouml $_divideIcirc uacute ouml $ordfdivideIgrave yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlCcedil aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIcirc aacute w$ thorn yuml cent thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideacirc uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlEgrave aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIgrave aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideoslash uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlAtilde aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIacute aacute w$ thorn yuml thorn +ETH ouml $_dividethorn uacute ouml $ordfdivideIacute yuml Iuml 8 raquo aq^J H a timesOslash jj

O^centmJkWKhZJUYZYZQsO[ H MeJbn[UiNihQcNPObnJZaringN H hQVkpoundWQ H M H MJregXqjOb H QR[]OYagrave thorn timesOslash yumlauml NPYXiacute[]fcfR[WQcO[aring

timesOslashlaquoaacute 1NtildeNtildeNtildeNtildeNtildeNtilde3uacute ouml $ordfdivideoslashuacute ouml $ordfdivideIacute uacute ouml $_divideIumluacute ouml $_divideIacute uacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIumluacute ouml $ordfdivideIacute uacute ouml $_divideacircuacute ouml $_divideIacute uacute ouml $ordfdivideIgraveuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacute uacute ouml $_divideIgraveuacute ouml $_divideIacute uacute ouml $ordfdivideEumluacute ouml $ordfdivideIacute

6OgraveOgraveOgraveOgraveOgraveOgrave7 J H MJUO^eJU^jbnJSaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

eacute thorn times Oslash yuml aacute a fj thorn yuml ^eJ H aDC Ptimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlcent aacute a fj thorn centcent yuml ^eJ H aDC centcenttimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yuml aacute a fj thorn curren yuml ^eJ H aDC 4times Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlAElig aacute a fj thorn cent yuml ^eJ H aDC centtimes Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlCcedil aacute a fj thorn curren yuml ^eJ H aDC times Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlEgrave aacute a fj thorn centcurren yuml ^eJ H aDCcent4times Oslash j48 raquo aq^eJ H a timesOslash jjeacute thorn times Oslash yumlAtilde aacute amp^eJ H a timesOslash j48 raquo aq^eJ H a timesOslash jj

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ SWMJLhZJC EBtimesOslash QcY H MeJgZaringN H hdQk ^eJU^jbnJU^Xh[]ZOacutetimesOslasharingcentm YZjeKKhZJUYZYZQcOF[ H MeJyuuml UumlON hZ[WNPO^ H MJ I UumlON bn[]fcjFZaringOO^]MeJbn[]ZOslashKj H N H Qc[]OordmX[Ph H MeJ^eJUYZbnhdQRK H [Ph|uuml thorn UgraveUcircUacuteUuml yuml QcYyYQZaringQcfcNihNPO^WFJ H MeJUOOslashMNUPJNPfcf H MeJ(JkWKhZJUYZYZQc[]OY H [aumlbn[]ZOslashKj H J H MeJJUP[]fcj H QR[]OaeligJjN H QR[]OXiacutehZ[]Z H MeJg[PJUOJLhNPfOXiacute[PhlZIacutejfcNta macr]j^gtMQcYcopy[]QVUPJUY H MeJTJUP[]fcj H QR[]O JBjN H QR[]Osup1admacr s j^

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBΩ out

Objects

Γ

inΩ

inΩ

Background Part

-t not Upv copy ETHEgraveIcircAtildeampAacuteiacuteCcedil=AumlFcedilAtilde5ordm|sup1Aumldraquo~AElig9AumldOgravefrac14raquoUacutesup1Igravefrac14dordm|Atilde

Ω

Ω out (τ)Ω

(τ)in

N

Γ(τ)

Ω

N

v

w

N

-t not Upv ETHEgraveIcircAtildeyEcircAumldIgravefrac14dsup1raquo~AEliggfrac14raquoiEcircAacuteIcircAtilde$AcircnAtilde5AgraveAacuteAumlcedilAEliggsup1raquoUAcircnAumldfrac12AcircnAtildeEcircsup1raquoiexclAacuteIcirc~Atilde$EcircAtildecedilsup1Acirc|frac14ZAacutesup1Aumldraquo

uumlnyacutenthornnyumll13YSordmY_F2ordf

yenKbrvbarsect =4 acirc $ Smacr

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 Atilde|IumligraveAacuteAtildecedil4frac14ZAacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvyzU eacuteWsup1ordm|AringcedilAtilde5AEligfrac14iquest Eacuteiquest AgraveJ]iUumlAcircnAumldfrac12AringAacutesup1Auml|raquoOtildeAumlOgraveeAacuteIcirc~Atildeyfrac14dAgrave Aacutesup1Acirc|Atilde0AgraveAuml|raquoLAacuteAuml|AringcedilIgravefrac14raquoifrac14ordm|AtildeEcircUacuteEacuteLfrac34AacuteIcirc~AtildefTHORN$Uuml v qzqwsup1raquo~Agrave5frac12AringiEcircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquoifrac14frac12ampAacuteAtildecedilIgrave(AElig5IumlgeacuteWsup1ordm|AringcedilAtilde5AEligOtildeEcirc]iquest Atildediquest Ograve] g sup1AEligwAringifrac14frac12sup1Ocirc5frac14Aacutesup1Auml|raquo`AumldOgrave0AacuteIcirc~AtildeTAgrave5AumldcedilwcedilAtilde5AEligwOumlPAumldraquoiEcircsup1raquoordmAcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 OgraveuAring~raquoAgraveAacutesup1Auml|raquosup1raquo~Agrave5frac12Aring~Ecircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquo~frac14dfrac12ampAacuteAtildecedilIgrave(AEligraquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirc EacutePAtildeAacuteiacuteCcedil=Atilde5Atilde5raquo ugrave frac14draquoiEcirc divide JUiquestAEligwAring~Agrave4IcircTAacuteIcirc~frac14Aacute$AacuteIcircAtilderaquo~Atilde5ordm|frac14Aacutesup1AcircnAtildeAcircdfrac14dfrac12AringAtilde5AElig0frac14cedilAtildefrac12AumlCcedilEgraveAtildecedilyAacuteIcirc~frac14draquo uacutedivide Uacutefrac14raquoiEcircaumlAacuteIcirc~AtildeOumlPAumldAEligwsup1Aacutesup1AcircnAtilde(Aumldraquo~Atilde5AEligyfrac14ZcedilAtilde(Icirc~sup1ordm|IcircAtildecedilAacuteIcircifrac14raquo uacuteZdivide Iuml

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

Ecirc]Iumligraveraquo~sup1currenAacutesup1frac14dfrac12BAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 Atilde|IumligraveAacuteAtilde cedil4frac14Aacutesup1Auml|raquo ugravedugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not Upv ucirc eacuteWsup1ordmdAringcedilAtilde5AEligtimesfrac14iquest Eacuteiquest AgraveJ]ampUumlAcirc|Auml|frac12AringAacutesup1Auml|raquoAumlOgrave(AacuteIcirc~Atildearingfrac14AgraveAacutesup1AcircnAtildeOslashAgrave5Auml|raquoLAacuteAumldAringcedilIacuteIgravefrac14draquoifrac14ordm|AtildeEcirc`EacuteUfrac34AacuteIcircAtildeOcircfTHORN$Uumlv q w iquestiexclCcedilgsup1currenAacuteIcirc~AumldAringAacuteAacuteIcirc~Atildefrac14dEcirc~Ecircsup1Aacutesup1Aumldraquoifrac14dfrac12TAacuteAtildecedilIgrave(AElig5IumliexcleacuteWsup1ordm|AringcedilAtildeAElig Ecirc]iquest Atildediquest Ograve] g sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo AumlOgraveaeligAacuteIcirc~AtildeAgraveAumldcedilwcedilAtildeEumlAEligwOumlPAuml|raquo~Ecircsup1raquo~ordm AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 OgraveregAring~raquo~Agrave Aacutesup1AumldraquoeumlCcedilgsup1currenAacuteIcirc~Auml|AringAacuteIacuteAacuteIcircAtilde frac14|Ecirc~Ecircsup1currenAacutesup1Aumldraquoifrac14frac12FAacuteAtildecedilIgrave(AElig v raquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirceumlAEligwAring~Agrave4Icirc AacuteIcirc~frac14AacuteIgravefrac14icirc vOOtilde wpOumldivide z w Iuml

uumlnyacutenthornnyumll13YSordmY_F2

S $amp)(+-)013021+345627893lt=gt9A6CB

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIumligravesAacuteAtildecedil4frac14Aacutesup1Aumldraquogt ugrave|ugrave AgravedIumlieacuteWsup1raquoifrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12Acirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 AtildedIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIumlieacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvtimesLg sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo(AumldOgravePAacuteIcirc~AtildeAtildeAcircnAuml|frac12AringAacutesup1AumldraquoAumldOgravePAacuteIcircAtildeEgraveAgrave5Auml|raquoLAacuteAumldAringcedil-frac14draquo~EcircNtildeAacuteIcirc~AtildeEgraveAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 v Ccedilgsup1AacuteIcircAuml|AringAacuteAacuteIcircAtildeEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircFAacuteAtilde cedilIgrave w OgraveregAumldcedilEgraveAacuteIcircAtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoAumlOgraveAacuteIcircAtilde9Ograveufrac14dAgrave5AtildeAring~AEligwsup1raquo~ordmyAacuteIcirc~Atilde9Agrave5AumlZAcirc|frac14Zcedilsup1frac14draquo~AgraveAtildeIgravefrac14Aacutewcedilsup1currenicirc]Iuml

frac14Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcircnAtilde EacuteIumligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 v AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde w Agrave|Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacutefrac34 v Acircdfrac14cedilsup1frac14draquoAgrave5Atilde w-t not Upv h=AumldIgrave(Oumlifrac14cedilsup1AEligwAumldraquoOtildeAumldOgraveAacuteIcirc~Atilde$sup1raquo~sup1currenAacutesup1frac14dfrac12eAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34iexclAgrave5Auml|Igrave(OumlAringAacuteAtildeEcircAringAEligwsup1raquo~ordmAacuteIcirc~Atilde$AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde0Igravefrac14Aacutewcedilsup1currenicircv iordmdAringcedilAtildeFEacute w AacuteAumliexclAacuteIcircAtildeAuml|raquoAtildeFAgrave5AumldIgrave(Ouml~AringAacuteAtildeEcircTAringAEligwsup1raquo~ordmiexclAacuteIcircAtildeFAcircdfrac14cedilsup1frac14draquoAgrave5Atilde v ~ordm|AringcedilAtildeFAgrave w OgraveregcedilAumldIgrave AacuteIcirc~AtildeNtildeAEligfrac14dIgrave(Atildesup1raquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcirc|Atilde v iordmdAringcedilAtilde$frac14 w Iuml

uumlnyacutenthornnyumll13YSordmY_F2_a

yenKbrvbarsect =4 acirc $ ]z

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv Oslash| THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5AtildeccediliacuteAtildecedilsup1UgraveUegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_o

Si $amp)(+-)013021+345627893lt=gt9A6CB

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv ordf THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5Atildeccedilqfrac14dUgraveUsup1currenfrac34LAumldegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_y

RR-0114-SJEHANpdf
  • wwwi3sunicefr
    • httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf
Page 39: LABORATOIRE INFORMATIQUE, SIGNAUX ET SYSTEMES DE …mh/RR/2001/liste-2001.pdf · 2002. 6. 27. · [Dir01] DIRAT L. “Outils pour des Mathématiques Interactives et Distribuées”

yenKbrvbarsect =4 acirc $ hq centUWQR[]jYZfVmSe-centmaJkBKNPO^QcO[ admacr jUacuteNPbLbn[Ph^QcOF[ H [hdY H [Phd^eJLhordfNmBfR[PhordfXiacute[PhlZtimesjfcNeWFJaumlMNUPJSaring sup1uumlStimesYa $ szliglOumlcopytimesUcircszlig_frac12 jaacuteAumluumlnotraquotimes a $ szliglOumlcopytimesszlig_frac12jhuumlStimesa $ szliglOumlcopytimes)j frac12sup1a $ j admacrj J H MeJUOabn[]ZOslashK-j H JZOslash[PhJaumlKhZJUbLQcYZJUfVm H MJ0jfRJLhQcNPO ^eJLhdQVU~N H QUPJauml[SXcopyocirc|adOumlcopytimesdj^ JMNUPJSaringocircOcircadOumlutimesaagravejj ocircOcircadOumlutimes)jagrave aacute fagrave = thorn yuml uuml times a $ aagravejszliglOuml times aagravejj $ uuml times a $ szliglOuml times j $ FH admacrSmacr]j5O H MJohY H QcO H J[PhdNPfdeltWFJZaringN`PJ H MeJU~NihdQcNicentfRJ bMNPO[PJ $ aagravejaacute $ agrave3frac12sup1a $ jWMJLhZJvfrac12sup1a $ jOcircaacuteethicirc7a2atildeshyszligaumlFjszligicirc cent a2atildeltszligaumlj eWMQcbdM[]QVUPJUYaring thorn yuml uuml]timesYa $ aagravejszliglOumlcopytimesYaagravejj $ aacute admacrS]j

5 uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlutimes agrave3frac12sup1a $ jjlt^eJ H ocirc a $ jlt $WMJLhZJocirc a $ jQcY H MeJgXiacute[]fcfR[WQcO[aringSNPbn[PcentQcNPOtZaringN H hdQkKaring

ocirc a $ jaacute oacute fcedilxagrave frac14 iacute oslashfrac14Uordm agrave frac14 iacute oslashfrac14 ugraveagrave frac14 iacute acircfrac14ordm fcedil agrave frac14 iacute acircfrac14 ugrave ocircNPO^ YZ[eFWNtildeJIacuteMNUPJSaring

^eJ H ocirc a $ jOcircaacute fUragravee^QVUKafrac34frac12sup1a $ jjragrave cent ^eJ H amacr frac12sup1a $ jjMJUOWNtildeJauml[Pcent H NPQcOOaring

fsQZcedil iacute ^eJ H ocirc a $ j fagrave aacute ^QVUKafrac34frac12sup1a $ jj admacr]zSjMJJBjN H QR[]OxadmacrSmacr]j H MeJUOcent=JUbn[]ZaringJUYaringocirc|adOumlcopytimesaagravejj ocirc|adOumlcopytimesAjagrave aacute fagrave middot uumlStimesa $ xagrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jjlt 13raquo ocirc a $ jlt $ uumlStimesa $ szliglOumlcopytimesAj $ admacrSi]j JTbLNPO`YZjeKKEgrave[]YJ H MN H ^eJ H aocirc a $ jjfrac14aacute sfrac12 agrave frac12 $ ^ JZaringNm H MeJUO H N`PJ^eJ H aocirc a $ jjfrac34 s eNPO^ WNtildeJ ^eJUPJUfR[PK H MeJaJkWKhZJUYYZQR[]OadmacrSi]j NPYoX[]fsfR[WQsO[centmNP^^QcO[aringN H JLhZ QcO H MeJIacuteYZJUbn[]O^aQcO H J[PhNPfltWMQcfcJaumlYZjeKKhJUYZYZQcO[ H MeJtimesYZNSZOslashJ H JLhlZQcO H MJordfhY H QcO H J[PhNPfdaring ocirc|adOumlcopytimesYaagravejj ocirc|adOumlcopytimes)jagrave aacuteegraveOtildef1rOtilde cent admacrSh]j

uumlnyacutenthornnyumll13YSordmY_Fordf

s $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJSaring

Otilde aacute uuml]timesa $ ragrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave ^eJ H aocirc a $ jj $ ad s jOtilde cent aacute uuml]timesa $ szliglOumlcopytimesdj ^eJ H aocirc a $ jj fagrave $ adfj

9J H jY_ZaringN`PJordmagrave H JUO^ H [WNih^Y s ^curreniquestYZQcO[frac34admacrjiexclNPO^JOQ H Qc[]OYadmacr e macrS]jeWFJ[PJ H aringfcQZUcedil iacute Otilde aacute sup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j $

aacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ uuml times a $ szliglOuml times j frac12sup1a $ j $fcQZUcedil iacute Otilde cent aacute uuml]timesa $ szliglOumlcopytimesdj^QVUKafrac34frac12 j $

O^ Y[Xiacute[Ph H MeJgNtildejfRJLhQsNPO ^eJLhQVUiN H QVUPJSeWFJgO^Oaring ocirc|adOuml times szlig_frac12jumlaacuteyacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ amacrreguumlStimesYa $ szliglOumlcopytimes)j frac12sup1a $ j7 uuml]timesYa $ szliglOumlcopytimes)j^QVUKafrac34frac12sup1a $ jjj $aacute uumlnotraquotimes a $ szliglOuml times szlig_frac12j $ ^QVUKaduuml times frac12j $ ad j

MeJUO NiKKfVmWQcO[ H MJ hJLJUOWVAQRJZ NPOO H MeJL[PhZJZQcO ad jeWNtildeJ5ONPfcfmtimes[Pcent H NPQcOOaring ocirc|adOumlcopytimesszlig_frac12jOcircaacute uuml raquotimes a $ szliglOumlcopytimesUcircszlig_frac12j $ uacutefrac14 5 uuml]timesYafrac34frac12 eacuteAgraveiquestsup1AacuteAtildeAcircj THORN adS]jWMJLhZJ5eacuteAgraveiquestsup1AacuteAtildeAcircyQcY H MeJUacutejOQ H QcOOgraveWNih^ Oe[PhlZaringNPf H [ aelig OumlcopytimesUcirc^MeJ_NtildejfRJLhQcNPO ^eJLhQVUiN H QVUPJQcY(O[ H JU^ ocirc raquo aagravej(QcO H MeJaumlKNiKEgraveJLhNPO^ H MeJaumlYZMNiKEgraveJauml^eJLhQU~N H QVUPJyuuml raquotimes QcY(Oe[ H JU^ frac14 frac14 ^iquest acutemicrosup1cedilFLft not [PhyYQZOslashKfcQsbLQ H mSeWNtildeJ(bM[[]YJ H MeJcopyXiacute[]fcfR[WQcO[_U~NihQsN H QR[]OaeligQcO H MeJKhZ[B[SXaring$ aagravejaacute $ agrave3frac12sup1a $ j^MJiexclKh[[SXZaringNm NPfcYZ[IacutecentEgraveJiexcl^JUPJUfR[PKEgraveJU^WiexclQ H MZaring[PhZJ_[PJUOJLhNPfUiNihQcN H QR[]OYFYjbM NPYaring $ aagravejaacuteAacuteAgravea $ szligYagravejWQ H MAcircAgrave`NOslashYYZOslash[B[ H MXiacutejOb H QR[]ONPO^AcircAgravea szligYagravejcentQ ~5JUb H QVUPJS^

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ ffrac12OcircacuteIshyNT AcircE J(MNUPJ H [Otildebn[]ZOslashK-j H J H MJNtilde^QEgraveJLhZJUO HH JLhZaringY9[SXQa macr]j9QsOauml[Ph^eJLh H [Uacute[Pcent H NPQcO H MeJ

JUP[]fcj H QR[]OJBjN H QR[]O[SX H MeJ NPb H QUPJ bn[]O H []jehX[Ph H MeJ ^JUYZbnhQRK H [PhdYaumlcentNPYJU^Oacute[]OH MeJ(bn[U~NihQsNPObnJ ZaringN H hQVktimes^eJ H JLhlZ QcONPO H a2Ograveh]j^OgraveMeJ(bn[]ZOslashKj H N H QR[]OaringQcYampKEgraveJLhYXiacute[PhlZOslashJU^Xiacute[Ph H MeJIacute^eJUYZbnhQRK H [Ph_uuml thorn timesOslash yuml ^ q centUWQR[]jYZfmSeN YZQZ QcfcNihbn[]ZOslashKj H N H QR[]OabLNPOacent=JIacute^e[]OeJXiacute[PhOcircuuml thorn UgraveUcircUacuteUuml yuml ^ JiexclbLNPOaeligJkBKhJUYZYOcircuuml thorn timesOslash yuml NPYyNUacutebn[]ZTcent-QcON H QR[]Oaelig[SXgtXiacutejOb H QR[]OYamp^eJLKEgraveJUO^QcOF[[]O H MJOtildehZJ[]QR[]OwOuml timesOslash aring

uumlgtthorn times Oslash yuml a2atildeltszligaumlgtszligYagravejaacute`Ograveoacute m thorn timesOslash yumlaIgraveagrave thorn timesOslash yumlAtilde j cent ocirc adjWMJLhZJordmaacuteAuml85eWiexclQ H MAring8 H MeJordfXqjOb H Qc[]O QcO H h[B^jbnJU^ QcOpounda2Ograveh]je-NPO^aringm thorn timesOslash yuml aacute agrave thorn timesOslash yuml agrave thorn timesOslash yumlcent agrave thorn timesOslash yuml agrave thorn timesOslash yumlAElig agrave thorn times Oslash yumlCcedil agrave thorn timesOslash yumlEgrave agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlEgrave j cent agrave thorn times Oslash yumlcent aIgraveagrave thorn timesOslash yumlCcedil j cent agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlAElig j centWQ H MOaring EFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFH

agrave thorn timesOslash yuml aacute w$ thorn yuml aOtilde S times Oslash j cent atilde aumlagrave thorn timesOslash yumlcent aacute w$ thorn yuml aOtildeOgravecent Scenttimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yuml aacute w$ thorn yuml aOtildeS Stimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yumlAElig aacute w$ thorn yuml aOtilde S times Oslash jaOtildeOgravecent ScenttimesOslash j atilde aumlagrave thorn timesOslash yumlCcedil aacute w$ thorn yuml aOtilde S times Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlEgrave aacute w$ thorn yuml aOtilde cent S centtimes Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlAtilde aacute w$ thorn yuml atilde auml O^ Y[ H MJordfXiacutejOb H QR[]OY aelig thorn timesOslash yumlauml MNUPJ H MeJgXiacute[]fcfR[WiexclQcO[aeligJkBKhZJUYZYZQR[]OYaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

aelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlcent aacute aOtilde cent S centtimesOslash j centaelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlAElig aacute aOtilde S timesOslash jaOtilde cent S centtimesOslash jaelig thorn times Oslash yumlCcedil aacute aOtilde S timesOslash jaOtilde S timesOslash jaelig thorn times Oslash yumlEgrave aacute aOtildeOgravecent ScenttimesOslash jaOtilde13 StimesOslash jaelig thorn times Oslash yumlAtilde aacutemiddotf

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBnot h[]Z H MeJUYJaumlJkWKhZJUYYZQR[]OYeWFJOtildeJUNPYZQcfm ^eJU^jbnJ H MN H aring

$ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde aumlregaacute sEacutefrac12poundEcirc iuml

J H MeJUO MNUPJ H [Tbn[]ZaringKj H J H MeJ H JLhlZaringY eacute thorn times Oslash yumlauml XiacutehZ[]Z H MeJJkWKhZJUYZYQR[]OYamp[SXagrave thorn timesOslash yumlauml eWMQcbM fRJUNP^Y H [aringEFFFFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFFFFH

eacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideoslash aacute w$ thorn yuml uacute ouml $ordfdivideacirc uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIgrave yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H a timesOslash jjeacute thorn timesOslash yumlcent aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideacirc

aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIcirc yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideEuml aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideacirc thorn thorn uacute ouml $_divideIuml yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yumlAElig aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIuml aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideEuml uacute ouml $ordfdivideIuml thorn uacute ouml $_divideIcirc uacute ouml $ordfdivideIgrave yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlCcedil aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIcirc aacute w$ thorn yuml cent thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideacirc uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlEgrave aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIgrave aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideoslash uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlAtilde aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIacute aacute w$ thorn yuml thorn +ETH ouml $_dividethorn uacute ouml $ordfdivideIacute yuml Iuml 8 raquo aq^J H a timesOslash jj

O^centmJkWKhZJUYZYZQsO[ H MeJbn[UiNihQcNPObnJZaringN H hQVkpoundWQ H M H MJregXqjOb H QR[]OYagrave thorn timesOslash yumlauml NPYXiacute[]fcfR[WQcO[aring

timesOslashlaquoaacute 1NtildeNtildeNtildeNtildeNtildeNtilde3uacute ouml $ordfdivideoslashuacute ouml $ordfdivideIacute uacute ouml $_divideIumluacute ouml $_divideIacute uacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIumluacute ouml $ordfdivideIacute uacute ouml $_divideacircuacute ouml $_divideIacute uacute ouml $ordfdivideIgraveuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacute uacute ouml $_divideIgraveuacute ouml $_divideIacute uacute ouml $ordfdivideEumluacute ouml $ordfdivideIacute

6OgraveOgraveOgraveOgraveOgraveOgrave7 J H MJUO^eJU^jbnJSaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

eacute thorn times Oslash yuml aacute a fj thorn yuml ^eJ H aDC Ptimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlcent aacute a fj thorn centcent yuml ^eJ H aDC centcenttimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yuml aacute a fj thorn curren yuml ^eJ H aDC 4times Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlAElig aacute a fj thorn cent yuml ^eJ H aDC centtimes Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlCcedil aacute a fj thorn curren yuml ^eJ H aDC times Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlEgrave aacute a fj thorn centcurren yuml ^eJ H aDCcent4times Oslash j48 raquo aq^eJ H a timesOslash jjeacute thorn times Oslash yumlAtilde aacute amp^eJ H a timesOslash j48 raquo aq^eJ H a timesOslash jj

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ SWMJLhZJC EBtimesOslash QcY H MeJgZaringN H hdQk ^eJU^jbnJU^Xh[]ZOacutetimesOslasharingcentm YZjeKKhZJUYZYZQcOF[ H MeJyuuml UumlON hZ[WNPO^ H MJ I UumlON bn[]fcjFZaringOO^]MeJbn[]ZOslashKj H N H Qc[]OordmX[Ph H MeJ^eJUYZbnhdQRK H [Ph|uuml thorn UgraveUcircUacuteUuml yuml QcYyYQZaringQcfcNihNPO^WFJ H MeJUOOslashMNUPJNPfcf H MeJ(JkWKhZJUYZYZQc[]OY H [aumlbn[]ZOslashKj H J H MeJJUP[]fcj H QR[]OaeligJjN H QR[]OXiacutehZ[]Z H MeJg[PJUOJLhNPfOXiacute[PhlZIacutejfcNta macr]j^gtMQcYcopy[]QVUPJUY H MeJTJUP[]fcj H QR[]O JBjN H QR[]Osup1admacr s j^

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBΩ out

Objects

Γ

inΩ

inΩ

Background Part

-t not Upv copy ETHEgraveIcircAtildeampAacuteiacuteCcedil=AumlFcedilAtilde5ordm|sup1Aumldraquo~AElig9AumldOgravefrac14raquoUacutesup1Igravefrac14dordm|Atilde

Ω

Ω out (τ)Ω

(τ)in

N

Γ(τ)

Ω

N

v

w

N

-t not Upv ETHEgraveIcircAtildeyEcircAumldIgravefrac14dsup1raquo~AEliggfrac14raquoiEcircAacuteIcircAtilde$AcircnAtilde5AgraveAacuteAumlcedilAEliggsup1raquoUAcircnAumldfrac12AcircnAtildeEcircsup1raquoiexclAacuteIcirc~Atilde$EcircAtildecedilsup1Acirc|frac14ZAacutesup1Aumldraquo

uumlnyacutenthornnyumll13YSordmY_F2ordf

yenKbrvbarsect =4 acirc $ Smacr

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 Atilde|IumligraveAacuteAtildecedil4frac14ZAacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvyzU eacuteWsup1ordm|AringcedilAtilde5AEligfrac14iquest Eacuteiquest AgraveJ]iUumlAcircnAumldfrac12AringAacutesup1Auml|raquoOtildeAumlOgraveeAacuteIcirc~Atildeyfrac14dAgrave Aacutesup1Acirc|Atilde0AgraveAuml|raquoLAacuteAuml|AringcedilIgravefrac14raquoifrac14ordm|AtildeEcircUacuteEacuteLfrac34AacuteIcirc~AtildefTHORN$Uuml v qzqwsup1raquo~Agrave5frac12AringiEcircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquoifrac14frac12ampAacuteAtildecedilIgrave(AElig5IumlgeacuteWsup1ordm|AringcedilAtilde5AEligOtildeEcirc]iquest Atildediquest Ograve] g sup1AEligwAringifrac14frac12sup1Ocirc5frac14Aacutesup1Auml|raquo`AumldOgrave0AacuteIcirc~AtildeTAgrave5AumldcedilwcedilAtilde5AEligwOumlPAumldraquoiEcircsup1raquoordmAcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 OgraveuAring~raquoAgraveAacutesup1Auml|raquosup1raquo~Agrave5frac12Aring~Ecircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquo~frac14dfrac12ampAacuteAtildecedilIgrave(AEligraquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirc EacutePAtildeAacuteiacuteCcedil=Atilde5Atilde5raquo ugrave frac14draquoiEcirc divide JUiquestAEligwAring~Agrave4IcircTAacuteIcirc~frac14Aacute$AacuteIcircAtilderaquo~Atilde5ordm|frac14Aacutesup1AcircnAtildeAcircdfrac14dfrac12AringAtilde5AElig0frac14cedilAtildefrac12AumlCcedilEgraveAtildecedilyAacuteIcirc~frac14draquo uacutedivide Uacutefrac14raquoiEcircaumlAacuteIcirc~AtildeOumlPAumldAEligwsup1Aacutesup1AcircnAtilde(Aumldraquo~Atilde5AEligyfrac14ZcedilAtilde(Icirc~sup1ordm|IcircAtildecedilAacuteIcircifrac14raquo uacuteZdivide Iuml

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

Ecirc]Iumligraveraquo~sup1currenAacutesup1frac14dfrac12BAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 Atilde|IumligraveAacuteAtilde cedil4frac14Aacutesup1Auml|raquo ugravedugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not Upv ucirc eacuteWsup1ordmdAringcedilAtilde5AEligtimesfrac14iquest Eacuteiquest AgraveJ]ampUumlAcirc|Auml|frac12AringAacutesup1Auml|raquoAumlOgrave(AacuteIcirc~Atildearingfrac14AgraveAacutesup1AcircnAtildeOslashAgrave5Auml|raquoLAacuteAumldAringcedilIacuteIgravefrac14draquoifrac14ordm|AtildeEcirc`EacuteUfrac34AacuteIcircAtildeOcircfTHORN$Uumlv q w iquestiexclCcedilgsup1currenAacuteIcirc~AumldAringAacuteAacuteIcirc~Atildefrac14dEcirc~Ecircsup1Aacutesup1Aumldraquoifrac14dfrac12TAacuteAtildecedilIgrave(AElig5IumliexcleacuteWsup1ordm|AringcedilAtildeAElig Ecirc]iquest Atildediquest Ograve] g sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo AumlOgraveaeligAacuteIcirc~AtildeAgraveAumldcedilwcedilAtildeEumlAEligwOumlPAuml|raquo~Ecircsup1raquo~ordm AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 OgraveregAring~raquo~Agrave Aacutesup1AumldraquoeumlCcedilgsup1currenAacuteIcirc~Auml|AringAacuteIacuteAacuteIcircAtilde frac14|Ecirc~Ecircsup1currenAacutesup1Aumldraquoifrac14frac12FAacuteAtildecedilIgrave(AElig v raquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirceumlAEligwAring~Agrave4Icirc AacuteIcirc~frac14AacuteIgravefrac14icirc vOOtilde wpOumldivide z w Iuml

uumlnyacutenthornnyumll13YSordmY_F2

S $amp)(+-)013021+345627893lt=gt9A6CB

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIumligravesAacuteAtildecedil4frac14Aacutesup1Aumldraquogt ugrave|ugrave AgravedIumlieacuteWsup1raquoifrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12Acirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 AtildedIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIumlieacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvtimesLg sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo(AumldOgravePAacuteIcirc~AtildeAtildeAcircnAuml|frac12AringAacutesup1AumldraquoAumldOgravePAacuteIcircAtildeEgraveAgrave5Auml|raquoLAacuteAumldAringcedil-frac14draquo~EcircNtildeAacuteIcirc~AtildeEgraveAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 v Ccedilgsup1AacuteIcircAuml|AringAacuteAacuteIcircAtildeEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircFAacuteAtilde cedilIgrave w OgraveregAumldcedilEgraveAacuteIcircAtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoAumlOgraveAacuteIcircAtilde9Ograveufrac14dAgrave5AtildeAring~AEligwsup1raquo~ordmyAacuteIcirc~Atilde9Agrave5AumlZAcirc|frac14Zcedilsup1frac14draquo~AgraveAtildeIgravefrac14Aacutewcedilsup1currenicirc]Iuml

frac14Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcircnAtilde EacuteIumligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 v AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde w Agrave|Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacutefrac34 v Acircdfrac14cedilsup1frac14draquoAgrave5Atilde w-t not Upv h=AumldIgrave(Oumlifrac14cedilsup1AEligwAumldraquoOtildeAumldOgraveAacuteIcirc~Atilde$sup1raquo~sup1currenAacutesup1frac14dfrac12eAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34iexclAgrave5Auml|Igrave(OumlAringAacuteAtildeEcircAringAEligwsup1raquo~ordmAacuteIcirc~Atilde$AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde0Igravefrac14Aacutewcedilsup1currenicircv iordmdAringcedilAtildeFEacute w AacuteAumliexclAacuteIcircAtildeAuml|raquoAtildeFAgrave5AumldIgrave(Ouml~AringAacuteAtildeEcircTAringAEligwsup1raquo~ordmiexclAacuteIcircAtildeFAcircdfrac14cedilsup1frac14draquoAgrave5Atilde v ~ordm|AringcedilAtildeFAgrave w OgraveregcedilAumldIgrave AacuteIcirc~AtildeNtildeAEligfrac14dIgrave(Atildesup1raquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcirc|Atilde v iordmdAringcedilAtilde$frac14 w Iuml

uumlnyacutenthornnyumll13YSordmY_F2_a

yenKbrvbarsect =4 acirc $ ]z

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv Oslash| THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5AtildeccediliacuteAtildecedilsup1UgraveUegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_o

Si $amp)(+-)013021+345627893lt=gt9A6CB

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv ordf THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5Atildeccedilqfrac14dUgraveUsup1currenfrac34LAumldegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_y

RR-0114-SJEHANpdf
  • wwwi3sunicefr
    • httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf
Page 40: LABORATOIRE INFORMATIQUE, SIGNAUX ET SYSTEMES DE …mh/RR/2001/liste-2001.pdf · 2002. 6. 27. · [Dir01] DIRAT L. “Outils pour des Mathématiques Interactives et Distribuées”

s $amp)(+-)013021+345627893lt=gt9A6CBWMJLhZJSaring

Otilde aacute uuml]timesa $ ragrave3frac12sup1a $ jszliglOumlcopytimes5ragrave3frac12sup1a $ jj uumlStimesa $ szliglOumlcopytimesAjagrave ^eJ H aocirc a $ jj $ ad s jOtilde cent aacute uuml]timesa $ szliglOumlcopytimesdj ^eJ H aocirc a $ jj fagrave $ adfj

9J H jY_ZaringN`PJordmagrave H JUO^ H [WNih^Y s ^curreniquestYZQcO[frac34admacrjiexclNPO^JOQ H Qc[]OYadmacr e macrS]jeWFJ[PJ H aringfcQZUcedil iacute Otilde aacute sup1uuml]timesa $ szliglOumlcopytimesszlig_frac12j $

aacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ uuml times a $ szliglOuml times j frac12sup1a $ j $fcQZUcedil iacute Otilde cent aacute uuml]timesa $ szliglOumlcopytimesdj^QVUKafrac34frac12 j $

O^ Y[Xiacute[Ph H MeJgNtildejfRJLhQsNPO ^eJLhQVUiN H QVUPJSeWFJgO^Oaring ocirc|adOuml times szlig_frac12jumlaacuteyacute uuml raquotimes a $ szliglOuml times szlig_frac12j $ amacrreguumlStimesYa $ szliglOumlcopytimes)j frac12sup1a $ j7 uuml]timesYa $ szliglOumlcopytimes)j^QVUKafrac34frac12sup1a $ jjj $aacute uumlnotraquotimes a $ szliglOuml times szlig_frac12j $ ^QVUKaduuml times frac12j $ ad j

MeJUO NiKKfVmWQcO[ H MJ hJLJUOWVAQRJZ NPOO H MeJL[PhZJZQcO ad jeWNtildeJ5ONPfcfmtimes[Pcent H NPQcOOaring ocirc|adOumlcopytimesszlig_frac12jOcircaacute uuml raquotimes a $ szliglOumlcopytimesUcircszlig_frac12j $ uacutefrac14 5 uuml]timesYafrac34frac12 eacuteAgraveiquestsup1AacuteAtildeAcircj THORN adS]jWMJLhZJ5eacuteAgraveiquestsup1AacuteAtildeAcircyQcY H MeJUacutejOQ H QcOOgraveWNih^ Oe[PhlZaringNPf H [ aelig OumlcopytimesUcirc^MeJ_NtildejfRJLhQcNPO ^eJLhQVUiN H QVUPJQcY(O[ H JU^ ocirc raquo aagravej(QcO H MeJaumlKNiKEgraveJLhNPO^ H MeJaumlYZMNiKEgraveJauml^eJLhQU~N H QVUPJyuuml raquotimes QcY(Oe[ H JU^ frac14 frac14 ^iquest acutemicrosup1cedilFLft not [PhyYQZOslashKfcQsbLQ H mSeWNtildeJ(bM[[]YJ H MeJcopyXiacute[]fcfR[WQcO[_U~NihQsN H QR[]OaeligQcO H MeJKhZ[B[SXaring$ aagravejaacute $ agrave3frac12sup1a $ j^MJiexclKh[[SXZaringNm NPfcYZ[IacutecentEgraveJiexcl^JUPJUfR[PKEgraveJU^WiexclQ H MZaring[PhZJ_[PJUOJLhNPfUiNihQcN H QR[]OYFYjbM NPYaring $ aagravejaacuteAacuteAgravea $ szligYagravejWQ H MAcircAgrave`NOslashYYZOslash[B[ H MXiacutejOb H QR[]ONPO^AcircAgravea szligYagravejcentQ ~5JUb H QVUPJS^

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ ffrac12OcircacuteIshyNT AcircE J(MNUPJ H [Otildebn[]ZOslashK-j H J H MJNtilde^QEgraveJLhZJUO HH JLhZaringY9[SXQa macr]j9QsOauml[Ph^eJLh H [Uacute[Pcent H NPQcO H MeJ

JUP[]fcj H QR[]OJBjN H QR[]O[SX H MeJ NPb H QUPJ bn[]O H []jehX[Ph H MeJ ^JUYZbnhQRK H [PhdYaumlcentNPYJU^Oacute[]OH MeJ(bn[U~NihQsNPObnJ ZaringN H hQVktimes^eJ H JLhlZ QcONPO H a2Ograveh]j^OgraveMeJ(bn[]ZOslashKj H N H QR[]OaringQcYampKEgraveJLhYXiacute[PhlZOslashJU^Xiacute[Ph H MeJIacute^eJUYZbnhQRK H [Ph_uuml thorn timesOslash yuml ^ q centUWQR[]jYZfmSeN YZQZ QcfcNihbn[]ZOslashKj H N H QR[]OabLNPOacent=JIacute^e[]OeJXiacute[PhOcircuuml thorn UgraveUcircUacuteUuml yuml ^ JiexclbLNPOaeligJkBKhJUYZYOcircuuml thorn timesOslash yuml NPYyNUacutebn[]ZTcent-QcON H QR[]Oaelig[SXgtXiacutejOb H QR[]OYamp^eJLKEgraveJUO^QcOF[[]O H MJOtildehZJ[]QR[]OwOuml timesOslash aring

uumlgtthorn times Oslash yuml a2atildeltszligaumlgtszligYagravejaacute`Ograveoacute m thorn timesOslash yumlaIgraveagrave thorn timesOslash yumlAtilde j cent ocirc adjWMJLhZJordmaacuteAuml85eWiexclQ H MAring8 H MeJordfXqjOb H Qc[]O QcO H h[B^jbnJU^ QcOpounda2Ograveh]je-NPO^aringm thorn timesOslash yuml aacute agrave thorn timesOslash yuml agrave thorn timesOslash yumlcent agrave thorn timesOslash yuml agrave thorn timesOslash yumlAElig agrave thorn times Oslash yumlCcedil agrave thorn timesOslash yumlEgrave agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlEgrave j cent agrave thorn times Oslash yumlcent aIgraveagrave thorn timesOslash yumlCcedil j cent agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlAElig j centWQ H MOaring EFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFH

agrave thorn timesOslash yuml aacute w$ thorn yuml aOtilde S times Oslash j cent atilde aumlagrave thorn timesOslash yumlcent aacute w$ thorn yuml aOtildeOgravecent Scenttimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yuml aacute w$ thorn yuml aOtildeS Stimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yumlAElig aacute w$ thorn yuml aOtilde S times Oslash jaOtildeOgravecent ScenttimesOslash j atilde aumlagrave thorn timesOslash yumlCcedil aacute w$ thorn yuml aOtilde S times Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlEgrave aacute w$ thorn yuml aOtilde cent S centtimes Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlAtilde aacute w$ thorn yuml atilde auml O^ Y[ H MJordfXiacutejOb H QR[]OY aelig thorn timesOslash yumlauml MNUPJ H MeJgXiacute[]fcfR[WiexclQcO[aeligJkBKhZJUYZYZQR[]OYaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

aelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlcent aacute aOtilde cent S centtimesOslash j centaelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlAElig aacute aOtilde S timesOslash jaOtilde cent S centtimesOslash jaelig thorn times Oslash yumlCcedil aacute aOtilde S timesOslash jaOtilde S timesOslash jaelig thorn times Oslash yumlEgrave aacute aOtildeOgravecent ScenttimesOslash jaOtilde13 StimesOslash jaelig thorn times Oslash yumlAtilde aacutemiddotf

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBnot h[]Z H MeJUYJaumlJkWKhZJUYYZQR[]OYeWFJOtildeJUNPYZQcfm ^eJU^jbnJ H MN H aring

$ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde aumlregaacute sEacutefrac12poundEcirc iuml

J H MeJUO MNUPJ H [Tbn[]ZaringKj H J H MeJ H JLhlZaringY eacute thorn times Oslash yumlauml XiacutehZ[]Z H MeJJkWKhZJUYZYQR[]OYamp[SXagrave thorn timesOslash yumlauml eWMQcbM fRJUNP^Y H [aringEFFFFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFFFFH

eacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideoslash aacute w$ thorn yuml uacute ouml $ordfdivideacirc uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIgrave yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H a timesOslash jjeacute thorn timesOslash yumlcent aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideacirc

aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIcirc yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideEuml aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideacirc thorn thorn uacute ouml $_divideIuml yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yumlAElig aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIuml aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideEuml uacute ouml $ordfdivideIuml thorn uacute ouml $_divideIcirc uacute ouml $ordfdivideIgrave yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlCcedil aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIcirc aacute w$ thorn yuml cent thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideacirc uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlEgrave aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIgrave aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideoslash uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlAtilde aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIacute aacute w$ thorn yuml thorn +ETH ouml $_dividethorn uacute ouml $ordfdivideIacute yuml Iuml 8 raquo aq^J H a timesOslash jj

O^centmJkWKhZJUYZYZQsO[ H MeJbn[UiNihQcNPObnJZaringN H hQVkpoundWQ H M H MJregXqjOb H QR[]OYagrave thorn timesOslash yumlauml NPYXiacute[]fcfR[WQcO[aring

timesOslashlaquoaacute 1NtildeNtildeNtildeNtildeNtildeNtilde3uacute ouml $ordfdivideoslashuacute ouml $ordfdivideIacute uacute ouml $_divideIumluacute ouml $_divideIacute uacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIumluacute ouml $ordfdivideIacute uacute ouml $_divideacircuacute ouml $_divideIacute uacute ouml $ordfdivideIgraveuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacute uacute ouml $_divideIgraveuacute ouml $_divideIacute uacute ouml $ordfdivideEumluacute ouml $ordfdivideIacute

6OgraveOgraveOgraveOgraveOgraveOgrave7 J H MJUO^eJU^jbnJSaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

eacute thorn times Oslash yuml aacute a fj thorn yuml ^eJ H aDC Ptimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlcent aacute a fj thorn centcent yuml ^eJ H aDC centcenttimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yuml aacute a fj thorn curren yuml ^eJ H aDC 4times Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlAElig aacute a fj thorn cent yuml ^eJ H aDC centtimes Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlCcedil aacute a fj thorn curren yuml ^eJ H aDC times Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlEgrave aacute a fj thorn centcurren yuml ^eJ H aDCcent4times Oslash j48 raquo aq^eJ H a timesOslash jjeacute thorn times Oslash yumlAtilde aacute amp^eJ H a timesOslash j48 raquo aq^eJ H a timesOslash jj

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ SWMJLhZJC EBtimesOslash QcY H MeJgZaringN H hdQk ^eJU^jbnJU^Xh[]ZOacutetimesOslasharingcentm YZjeKKhZJUYZYZQcOF[ H MeJyuuml UumlON hZ[WNPO^ H MJ I UumlON bn[]fcjFZaringOO^]MeJbn[]ZOslashKj H N H Qc[]OordmX[Ph H MeJ^eJUYZbnhdQRK H [Ph|uuml thorn UgraveUcircUacuteUuml yuml QcYyYQZaringQcfcNihNPO^WFJ H MeJUOOslashMNUPJNPfcf H MeJ(JkWKhZJUYZYZQc[]OY H [aumlbn[]ZOslashKj H J H MeJJUP[]fcj H QR[]OaeligJjN H QR[]OXiacutehZ[]Z H MeJg[PJUOJLhNPfOXiacute[PhlZIacutejfcNta macr]j^gtMQcYcopy[]QVUPJUY H MeJTJUP[]fcj H QR[]O JBjN H QR[]Osup1admacr s j^

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBΩ out

Objects

Γ

inΩ

inΩ

Background Part

-t not Upv copy ETHEgraveIcircAtildeampAacuteiacuteCcedil=AumlFcedilAtilde5ordm|sup1Aumldraquo~AElig9AumldOgravefrac14raquoUacutesup1Igravefrac14dordm|Atilde

Ω

Ω out (τ)Ω

(τ)in

N

Γ(τ)

Ω

N

v

w

N

-t not Upv ETHEgraveIcircAtildeyEcircAumldIgravefrac14dsup1raquo~AEliggfrac14raquoiEcircAacuteIcircAtilde$AcircnAtilde5AgraveAacuteAumlcedilAEliggsup1raquoUAcircnAumldfrac12AcircnAtildeEcircsup1raquoiexclAacuteIcirc~Atilde$EcircAtildecedilsup1Acirc|frac14ZAacutesup1Aumldraquo

uumlnyacutenthornnyumll13YSordmY_F2ordf

yenKbrvbarsect =4 acirc $ Smacr

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 Atilde|IumligraveAacuteAtildecedil4frac14ZAacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvyzU eacuteWsup1ordm|AringcedilAtilde5AEligfrac14iquest Eacuteiquest AgraveJ]iUumlAcircnAumldfrac12AringAacutesup1Auml|raquoOtildeAumlOgraveeAacuteIcirc~Atildeyfrac14dAgrave Aacutesup1Acirc|Atilde0AgraveAuml|raquoLAacuteAuml|AringcedilIgravefrac14raquoifrac14ordm|AtildeEcircUacuteEacuteLfrac34AacuteIcirc~AtildefTHORN$Uuml v qzqwsup1raquo~Agrave5frac12AringiEcircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquoifrac14frac12ampAacuteAtildecedilIgrave(AElig5IumlgeacuteWsup1ordm|AringcedilAtilde5AEligOtildeEcirc]iquest Atildediquest Ograve] g sup1AEligwAringifrac14frac12sup1Ocirc5frac14Aacutesup1Auml|raquo`AumldOgrave0AacuteIcirc~AtildeTAgrave5AumldcedilwcedilAtilde5AEligwOumlPAumldraquoiEcircsup1raquoordmAcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 OgraveuAring~raquoAgraveAacutesup1Auml|raquosup1raquo~Agrave5frac12Aring~Ecircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquo~frac14dfrac12ampAacuteAtildecedilIgrave(AEligraquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirc EacutePAtildeAacuteiacuteCcedil=Atilde5Atilde5raquo ugrave frac14draquoiEcirc divide JUiquestAEligwAring~Agrave4IcircTAacuteIcirc~frac14Aacute$AacuteIcircAtilderaquo~Atilde5ordm|frac14Aacutesup1AcircnAtildeAcircdfrac14dfrac12AringAtilde5AElig0frac14cedilAtildefrac12AumlCcedilEgraveAtildecedilyAacuteIcirc~frac14draquo uacutedivide Uacutefrac14raquoiEcircaumlAacuteIcirc~AtildeOumlPAumldAEligwsup1Aacutesup1AcircnAtilde(Aumldraquo~Atilde5AEligyfrac14ZcedilAtilde(Icirc~sup1ordm|IcircAtildecedilAacuteIcircifrac14raquo uacuteZdivide Iuml

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

Ecirc]Iumligraveraquo~sup1currenAacutesup1frac14dfrac12BAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 Atilde|IumligraveAacuteAtilde cedil4frac14Aacutesup1Auml|raquo ugravedugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not Upv ucirc eacuteWsup1ordmdAringcedilAtilde5AEligtimesfrac14iquest Eacuteiquest AgraveJ]ampUumlAcirc|Auml|frac12AringAacutesup1Auml|raquoAumlOgrave(AacuteIcirc~Atildearingfrac14AgraveAacutesup1AcircnAtildeOslashAgrave5Auml|raquoLAacuteAumldAringcedilIacuteIgravefrac14draquoifrac14ordm|AtildeEcirc`EacuteUfrac34AacuteIcircAtildeOcircfTHORN$Uumlv q w iquestiexclCcedilgsup1currenAacuteIcirc~AumldAringAacuteAacuteIcirc~Atildefrac14dEcirc~Ecircsup1Aacutesup1Aumldraquoifrac14dfrac12TAacuteAtildecedilIgrave(AElig5IumliexcleacuteWsup1ordm|AringcedilAtildeAElig Ecirc]iquest Atildediquest Ograve] g sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo AumlOgraveaeligAacuteIcirc~AtildeAgraveAumldcedilwcedilAtildeEumlAEligwOumlPAuml|raquo~Ecircsup1raquo~ordm AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 OgraveregAring~raquo~Agrave Aacutesup1AumldraquoeumlCcedilgsup1currenAacuteIcirc~Auml|AringAacuteIacuteAacuteIcircAtilde frac14|Ecirc~Ecircsup1currenAacutesup1Aumldraquoifrac14frac12FAacuteAtildecedilIgrave(AElig v raquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirceumlAEligwAring~Agrave4Icirc AacuteIcirc~frac14AacuteIgravefrac14icirc vOOtilde wpOumldivide z w Iuml

uumlnyacutenthornnyumll13YSordmY_F2

S $amp)(+-)013021+345627893lt=gt9A6CB

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIumligravesAacuteAtildecedil4frac14Aacutesup1Aumldraquogt ugrave|ugrave AgravedIumlieacuteWsup1raquoifrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12Acirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 AtildedIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIumlieacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvtimesLg sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo(AumldOgravePAacuteIcirc~AtildeAtildeAcircnAuml|frac12AringAacutesup1AumldraquoAumldOgravePAacuteIcircAtildeEgraveAgrave5Auml|raquoLAacuteAumldAringcedil-frac14draquo~EcircNtildeAacuteIcirc~AtildeEgraveAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 v Ccedilgsup1AacuteIcircAuml|AringAacuteAacuteIcircAtildeEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircFAacuteAtilde cedilIgrave w OgraveregAumldcedilEgraveAacuteIcircAtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoAumlOgraveAacuteIcircAtilde9Ograveufrac14dAgrave5AtildeAring~AEligwsup1raquo~ordmyAacuteIcirc~Atilde9Agrave5AumlZAcirc|frac14Zcedilsup1frac14draquo~AgraveAtildeIgravefrac14Aacutewcedilsup1currenicirc]Iuml

frac14Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcircnAtilde EacuteIumligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 v AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde w Agrave|Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacutefrac34 v Acircdfrac14cedilsup1frac14draquoAgrave5Atilde w-t not Upv h=AumldIgrave(Oumlifrac14cedilsup1AEligwAumldraquoOtildeAumldOgraveAacuteIcirc~Atilde$sup1raquo~sup1currenAacutesup1frac14dfrac12eAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34iexclAgrave5Auml|Igrave(OumlAringAacuteAtildeEcircAringAEligwsup1raquo~ordmAacuteIcirc~Atilde$AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde0Igravefrac14Aacutewcedilsup1currenicircv iordmdAringcedilAtildeFEacute w AacuteAumliexclAacuteIcircAtildeAuml|raquoAtildeFAgrave5AumldIgrave(Ouml~AringAacuteAtildeEcircTAringAEligwsup1raquo~ordmiexclAacuteIcircAtildeFAcircdfrac14cedilsup1frac14draquoAgrave5Atilde v ~ordm|AringcedilAtildeFAgrave w OgraveregcedilAumldIgrave AacuteIcirc~AtildeNtildeAEligfrac14dIgrave(Atildesup1raquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcirc|Atilde v iordmdAringcedilAtilde$frac14 w Iuml

uumlnyacutenthornnyumll13YSordmY_F2_a

yenKbrvbarsect =4 acirc $ ]z

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv Oslash| THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5AtildeccediliacuteAtildecedilsup1UgraveUegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_o

Si $amp)(+-)013021+345627893lt=gt9A6CB

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv ordf THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5Atildeccedilqfrac14dUgraveUsup1currenfrac34LAumldegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_y

RR-0114-SJEHANpdf
  • wwwi3sunicefr
    • httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf
Page 41: LABORATOIRE INFORMATIQUE, SIGNAUX ET SYSTEMES DE …mh/RR/2001/liste-2001.pdf · 2002. 6. 27. · [Dir01] DIRAT L. “Outils pour des Mathématiques Interactives et Distribuées”

yenKbrvbarsect =4 acirc $ ffrac12OcircacuteIshyNT AcircE J(MNUPJ H [Otildebn[]ZOslashK-j H J H MJNtilde^QEgraveJLhZJUO HH JLhZaringY9[SXQa macr]j9QsOauml[Ph^eJLh H [Uacute[Pcent H NPQcO H MeJ

JUP[]fcj H QR[]OJBjN H QR[]O[SX H MeJ NPb H QUPJ bn[]O H []jehX[Ph H MeJ ^JUYZbnhQRK H [PhdYaumlcentNPYJU^Oacute[]OH MeJ(bn[U~NihQsNPObnJ ZaringN H hQVktimes^eJ H JLhlZ QcONPO H a2Ograveh]j^OgraveMeJ(bn[]ZOslashKj H N H QR[]OaringQcYampKEgraveJLhYXiacute[PhlZOslashJU^Xiacute[Ph H MeJIacute^eJUYZbnhQRK H [Ph_uuml thorn timesOslash yuml ^ q centUWQR[]jYZfmSeN YZQZ QcfcNihbn[]ZOslashKj H N H QR[]OabLNPOacent=JIacute^e[]OeJXiacute[PhOcircuuml thorn UgraveUcircUacuteUuml yuml ^ JiexclbLNPOaeligJkBKhJUYZYOcircuuml thorn timesOslash yuml NPYyNUacutebn[]ZTcent-QcON H QR[]Oaelig[SXgtXiacutejOb H QR[]OYamp^eJLKEgraveJUO^QcOF[[]O H MJOtildehZJ[]QR[]OwOuml timesOslash aring

uumlgtthorn times Oslash yuml a2atildeltszligaumlgtszligYagravejaacute`Ograveoacute m thorn timesOslash yumlaIgraveagrave thorn timesOslash yumlAtilde j cent ocirc adjWMJLhZJordmaacuteAuml85eWiexclQ H MAring8 H MeJordfXqjOb H Qc[]O QcO H h[B^jbnJU^ QcOpounda2Ograveh]je-NPO^aringm thorn timesOslash yuml aacute agrave thorn timesOslash yuml agrave thorn timesOslash yumlcent agrave thorn timesOslash yuml agrave thorn timesOslash yumlAElig agrave thorn times Oslash yumlCcedil agrave thorn timesOslash yumlEgrave agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlEgrave j cent agrave thorn times Oslash yumlcent aIgraveagrave thorn timesOslash yumlCcedil j cent agrave thorn timesOslash yuml aIgraveagrave thorn timesOslash yumlAElig j centWQ H MOaring EFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFH

agrave thorn timesOslash yuml aacute w$ thorn yuml aOtilde S times Oslash j cent atilde aumlagrave thorn timesOslash yumlcent aacute w$ thorn yuml aOtildeOgravecent Scenttimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yuml aacute w$ thorn yuml aOtildeS Stimes Oslash jUcirccent atilde aumlagrave thorn timesOslash yumlAElig aacute w$ thorn yuml aOtilde S times Oslash jaOtildeOgravecent ScenttimesOslash j atilde aumlagrave thorn timesOslash yumlCcedil aacute w$ thorn yuml aOtilde S times Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlEgrave aacute w$ thorn yuml aOtilde cent S centtimes Oslash jaOtilde S timesOslash j atilde aumlagrave thorn timesOslash yumlAtilde aacute w$ thorn yuml atilde auml O^ Y[ H MJordfXiacutejOb H QR[]OY aelig thorn timesOslash yumlauml MNUPJ H MeJgXiacute[]fcfR[WiexclQcO[aeligJkBKhZJUYZYZQR[]OYaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

aelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlcent aacute aOtilde cent S centtimesOslash j centaelig thorn times Oslash yuml aacute aOtilde S timesOslash j centaelig thorn times Oslash yumlAElig aacute aOtilde S timesOslash jaOtilde cent S centtimesOslash jaelig thorn times Oslash yumlCcedil aacute aOtilde S timesOslash jaOtilde S timesOslash jaelig thorn times Oslash yumlEgrave aacute aOtildeOgravecent ScenttimesOslash jaOtilde13 StimesOslash jaelig thorn times Oslash yumlAtilde aacutemiddotf

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBnot h[]Z H MeJUYJaumlJkWKhZJUYYZQR[]OYeWFJOtildeJUNPYZQcfm ^eJU^jbnJ H MN H aring

$ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde aumlregaacute sEacutefrac12poundEcirc iuml

J H MeJUO MNUPJ H [Tbn[]ZaringKj H J H MeJ H JLhlZaringY eacute thorn times Oslash yumlauml XiacutehZ[]Z H MeJJkWKhZJUYZYQR[]OYamp[SXagrave thorn timesOslash yumlauml eWMQcbM fRJUNP^Y H [aringEFFFFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFFFFH

eacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideoslash aacute w$ thorn yuml uacute ouml $ordfdivideacirc uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIgrave yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H a timesOslash jjeacute thorn timesOslash yumlcent aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideacirc

aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIcirc yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideEuml aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideacirc thorn thorn uacute ouml $_divideIuml yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yumlAElig aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIuml aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideEuml uacute ouml $ordfdivideIuml thorn uacute ouml $_divideIcirc uacute ouml $ordfdivideIgrave yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlCcedil aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIcirc aacute w$ thorn yuml cent thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideacirc uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlEgrave aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIgrave aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideoslash uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlAtilde aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIacute aacute w$ thorn yuml thorn +ETH ouml $_dividethorn uacute ouml $ordfdivideIacute yuml Iuml 8 raquo aq^J H a timesOslash jj

O^centmJkWKhZJUYZYZQsO[ H MeJbn[UiNihQcNPObnJZaringN H hQVkpoundWQ H M H MJregXqjOb H QR[]OYagrave thorn timesOslash yumlauml NPYXiacute[]fcfR[WQcO[aring

timesOslashlaquoaacute 1NtildeNtildeNtildeNtildeNtildeNtilde3uacute ouml $ordfdivideoslashuacute ouml $ordfdivideIacute uacute ouml $_divideIumluacute ouml $_divideIacute uacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIumluacute ouml $ordfdivideIacute uacute ouml $_divideacircuacute ouml $_divideIacute uacute ouml $ordfdivideIgraveuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacute uacute ouml $_divideIgraveuacute ouml $_divideIacute uacute ouml $ordfdivideEumluacute ouml $ordfdivideIacute

6OgraveOgraveOgraveOgraveOgraveOgrave7 J H MJUO^eJU^jbnJSaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

eacute thorn times Oslash yuml aacute a fj thorn yuml ^eJ H aDC Ptimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlcent aacute a fj thorn centcent yuml ^eJ H aDC centcenttimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yuml aacute a fj thorn curren yuml ^eJ H aDC 4times Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlAElig aacute a fj thorn cent yuml ^eJ H aDC centtimes Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlCcedil aacute a fj thorn curren yuml ^eJ H aDC times Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlEgrave aacute a fj thorn centcurren yuml ^eJ H aDCcent4times Oslash j48 raquo aq^eJ H a timesOslash jjeacute thorn times Oslash yumlAtilde aacute amp^eJ H a timesOslash j48 raquo aq^eJ H a timesOslash jj

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ SWMJLhZJC EBtimesOslash QcY H MeJgZaringN H hdQk ^eJU^jbnJU^Xh[]ZOacutetimesOslasharingcentm YZjeKKhZJUYZYZQcOF[ H MeJyuuml UumlON hZ[WNPO^ H MJ I UumlON bn[]fcjFZaringOO^]MeJbn[]ZOslashKj H N H Qc[]OordmX[Ph H MeJ^eJUYZbnhdQRK H [Ph|uuml thorn UgraveUcircUacuteUuml yuml QcYyYQZaringQcfcNihNPO^WFJ H MeJUOOslashMNUPJNPfcf H MeJ(JkWKhZJUYZYZQc[]OY H [aumlbn[]ZOslashKj H J H MeJJUP[]fcj H QR[]OaeligJjN H QR[]OXiacutehZ[]Z H MeJg[PJUOJLhNPfOXiacute[PhlZIacutejfcNta macr]j^gtMQcYcopy[]QVUPJUY H MeJTJUP[]fcj H QR[]O JBjN H QR[]Osup1admacr s j^

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBΩ out

Objects

Γ

inΩ

inΩ

Background Part

-t not Upv copy ETHEgraveIcircAtildeampAacuteiacuteCcedil=AumlFcedilAtilde5ordm|sup1Aumldraquo~AElig9AumldOgravefrac14raquoUacutesup1Igravefrac14dordm|Atilde

Ω

Ω out (τ)Ω

(τ)in

N

Γ(τ)

Ω

N

v

w

N

-t not Upv ETHEgraveIcircAtildeyEcircAumldIgravefrac14dsup1raquo~AEliggfrac14raquoiEcircAacuteIcircAtilde$AcircnAtilde5AgraveAacuteAumlcedilAEliggsup1raquoUAcircnAumldfrac12AcircnAtildeEcircsup1raquoiexclAacuteIcirc~Atilde$EcircAtildecedilsup1Acirc|frac14ZAacutesup1Aumldraquo

uumlnyacutenthornnyumll13YSordmY_F2ordf

yenKbrvbarsect =4 acirc $ Smacr

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 Atilde|IumligraveAacuteAtildecedil4frac14ZAacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvyzU eacuteWsup1ordm|AringcedilAtilde5AEligfrac14iquest Eacuteiquest AgraveJ]iUumlAcircnAumldfrac12AringAacutesup1Auml|raquoOtildeAumlOgraveeAacuteIcirc~Atildeyfrac14dAgrave Aacutesup1Acirc|Atilde0AgraveAuml|raquoLAacuteAuml|AringcedilIgravefrac14raquoifrac14ordm|AtildeEcircUacuteEacuteLfrac34AacuteIcirc~AtildefTHORN$Uuml v qzqwsup1raquo~Agrave5frac12AringiEcircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquoifrac14frac12ampAacuteAtildecedilIgrave(AElig5IumlgeacuteWsup1ordm|AringcedilAtilde5AEligOtildeEcirc]iquest Atildediquest Ograve] g sup1AEligwAringifrac14frac12sup1Ocirc5frac14Aacutesup1Auml|raquo`AumldOgrave0AacuteIcirc~AtildeTAgrave5AumldcedilwcedilAtilde5AEligwOumlPAumldraquoiEcircsup1raquoordmAcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 OgraveuAring~raquoAgraveAacutesup1Auml|raquosup1raquo~Agrave5frac12Aring~Ecircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquo~frac14dfrac12ampAacuteAtildecedilIgrave(AEligraquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirc EacutePAtildeAacuteiacuteCcedil=Atilde5Atilde5raquo ugrave frac14draquoiEcirc divide JUiquestAEligwAring~Agrave4IcircTAacuteIcirc~frac14Aacute$AacuteIcircAtilderaquo~Atilde5ordm|frac14Aacutesup1AcircnAtildeAcircdfrac14dfrac12AringAtilde5AElig0frac14cedilAtildefrac12AumlCcedilEgraveAtildecedilyAacuteIcirc~frac14draquo uacutedivide Uacutefrac14raquoiEcircaumlAacuteIcirc~AtildeOumlPAumldAEligwsup1Aacutesup1AcircnAtilde(Aumldraquo~Atilde5AEligyfrac14ZcedilAtilde(Icirc~sup1ordm|IcircAtildecedilAacuteIcircifrac14raquo uacuteZdivide Iuml

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

Ecirc]Iumligraveraquo~sup1currenAacutesup1frac14dfrac12BAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 Atilde|IumligraveAacuteAtilde cedil4frac14Aacutesup1Auml|raquo ugravedugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not Upv ucirc eacuteWsup1ordmdAringcedilAtilde5AEligtimesfrac14iquest Eacuteiquest AgraveJ]ampUumlAcirc|Auml|frac12AringAacutesup1Auml|raquoAumlOgrave(AacuteIcirc~Atildearingfrac14AgraveAacutesup1AcircnAtildeOslashAgrave5Auml|raquoLAacuteAumldAringcedilIacuteIgravefrac14draquoifrac14ordm|AtildeEcirc`EacuteUfrac34AacuteIcircAtildeOcircfTHORN$Uumlv q w iquestiexclCcedilgsup1currenAacuteIcirc~AumldAringAacuteAacuteIcirc~Atildefrac14dEcirc~Ecircsup1Aacutesup1Aumldraquoifrac14dfrac12TAacuteAtildecedilIgrave(AElig5IumliexcleacuteWsup1ordm|AringcedilAtildeAElig Ecirc]iquest Atildediquest Ograve] g sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo AumlOgraveaeligAacuteIcirc~AtildeAgraveAumldcedilwcedilAtildeEumlAEligwOumlPAuml|raquo~Ecircsup1raquo~ordm AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 OgraveregAring~raquo~Agrave Aacutesup1AumldraquoeumlCcedilgsup1currenAacuteIcirc~Auml|AringAacuteIacuteAacuteIcircAtilde frac14|Ecirc~Ecircsup1currenAacutesup1Aumldraquoifrac14frac12FAacuteAtildecedilIgrave(AElig v raquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirceumlAEligwAring~Agrave4Icirc AacuteIcirc~frac14AacuteIgravefrac14icirc vOOtilde wpOumldivide z w Iuml

uumlnyacutenthornnyumll13YSordmY_F2

S $amp)(+-)013021+345627893lt=gt9A6CB

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIumligravesAacuteAtildecedil4frac14Aacutesup1Aumldraquogt ugrave|ugrave AgravedIumlieacuteWsup1raquoifrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12Acirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 AtildedIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIumlieacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvtimesLg sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo(AumldOgravePAacuteIcirc~AtildeAtildeAcircnAuml|frac12AringAacutesup1AumldraquoAumldOgravePAacuteIcircAtildeEgraveAgrave5Auml|raquoLAacuteAumldAringcedil-frac14draquo~EcircNtildeAacuteIcirc~AtildeEgraveAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 v Ccedilgsup1AacuteIcircAuml|AringAacuteAacuteIcircAtildeEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircFAacuteAtilde cedilIgrave w OgraveregAumldcedilEgraveAacuteIcircAtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoAumlOgraveAacuteIcircAtilde9Ograveufrac14dAgrave5AtildeAring~AEligwsup1raquo~ordmyAacuteIcirc~Atilde9Agrave5AumlZAcirc|frac14Zcedilsup1frac14draquo~AgraveAtildeIgravefrac14Aacutewcedilsup1currenicirc]Iuml

frac14Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcircnAtilde EacuteIumligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 v AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde w Agrave|Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacutefrac34 v Acircdfrac14cedilsup1frac14draquoAgrave5Atilde w-t not Upv h=AumldIgrave(Oumlifrac14cedilsup1AEligwAumldraquoOtildeAumldOgraveAacuteIcirc~Atilde$sup1raquo~sup1currenAacutesup1frac14dfrac12eAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34iexclAgrave5Auml|Igrave(OumlAringAacuteAtildeEcircAringAEligwsup1raquo~ordmAacuteIcirc~Atilde$AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde0Igravefrac14Aacutewcedilsup1currenicircv iordmdAringcedilAtildeFEacute w AacuteAumliexclAacuteIcircAtildeAuml|raquoAtildeFAgrave5AumldIgrave(Ouml~AringAacuteAtildeEcircTAringAEligwsup1raquo~ordmiexclAacuteIcircAtildeFAcircdfrac14cedilsup1frac14draquoAgrave5Atilde v ~ordm|AringcedilAtildeFAgrave w OgraveregcedilAumldIgrave AacuteIcirc~AtildeNtildeAEligfrac14dIgrave(Atildesup1raquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcirc|Atilde v iordmdAringcedilAtilde$frac14 w Iuml

uumlnyacutenthornnyumll13YSordmY_F2_a

yenKbrvbarsect =4 acirc $ ]z

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv Oslash| THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5AtildeccediliacuteAtildecedilsup1UgraveUegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_o

Si $amp)(+-)013021+345627893lt=gt9A6CB

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv ordf THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5Atildeccedilqfrac14dUgraveUsup1currenfrac34LAumldegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_y

RR-0114-SJEHANpdf
  • wwwi3sunicefr
    • httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf
Page 42: LABORATOIRE INFORMATIQUE, SIGNAUX ET SYSTEMES DE …mh/RR/2001/liste-2001.pdf · 2002. 6. 27. · [Dir01] DIRAT L. “Outils pour des Mathématiques Interactives et Distribuées”

$amp)(+-)013021+345627893lt=gt9A6CBnot h[]Z H MeJUYJaumlJkWKhZJUYYZQR[]OYeWFJOtildeJUNPYZQcfm ^eJU^jbnJ H MN H aring

$ thorn yuml aelig aelig thorntimesOslash yumlaumlaelig agrave atilde aumlregaacute sEacutefrac12poundEcirc iuml

J H MeJUO MNUPJ H [Tbn[]ZaringKj H J H MeJ H JLhlZaringY eacute thorn times Oslash yumlauml XiacutehZ[]Z H MeJJkWKhZJUYZYQR[]OYamp[SXagrave thorn timesOslash yumlauml eWMQcbM fRJUNP^Y H [aringEFFFFFFFFFFFFFFFFFFFFFFFFFFFG FFFFFFFFFFFFFFFFFFFFFFFFFFFH

eacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideoslash aacute w$ thorn yuml uacute ouml $ordfdivideacirc uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIgrave yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H a timesOslash jjeacute thorn timesOslash yumlcent aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideacirc

aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideEuml thorn thorn uacute ouml $_divideIcirc yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yuml aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideEuml aacute w$ thorn yuml uacute ouml $ordfdivideoslash uacute ouml $_divideacirc thorn thorn uacute ouml $_divideIuml yuml acircthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^eJ H atimesOslashjjeacute thorn timesOslash yumlAElig aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIuml aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideEuml uacute ouml $ordfdivideIuml thorn uacute ouml $_divideIcirc uacute ouml $ordfdivideIgrave yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlCcedil aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIcirc aacute w$ thorn yuml cent thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideacirc uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlEgrave aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIgrave aacute w$ thorn yuml thorn cent thorn uacute ouml $_divideoslash uacute ouml $ordfdivideIgrave thorn uacute ouml $_divideIuml uacute ouml $ordfdivideIcirc yumlthorn uacute ouml $_divideIacute yuml Euml 8 raquo aq^J H atimesOslashjjeacute thorn timesOslash yumlAtilde aacute w$ thorn yuml frac14 ^frac14 uacute ouml $_divideIacute aacute w$ thorn yuml thorn +ETH ouml $_dividethorn uacute ouml $ordfdivideIacute yuml Iuml 8 raquo aq^J H a timesOslash jj

O^centmJkWKhZJUYZYZQsO[ H MeJbn[UiNihQcNPObnJZaringN H hQVkpoundWQ H M H MJregXqjOb H QR[]OYagrave thorn timesOslash yumlauml NPYXiacute[]fcfR[WQcO[aring

timesOslashlaquoaacute 1NtildeNtildeNtildeNtildeNtildeNtilde3uacute ouml $ordfdivideoslashuacute ouml $ordfdivideIacute uacute ouml $_divideIumluacute ouml $_divideIacute uacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIumluacute ouml $ordfdivideIacute uacute ouml $_divideacircuacute ouml $_divideIacute uacute ouml $ordfdivideIgraveuacute ouml $ordfdivideIacuteuacute ouml $ordfdivideIcircuacute ouml $ordfdivideIacute uacute ouml $_divideIgraveuacute ouml $_divideIacute uacute ouml $ordfdivideEumluacute ouml $ordfdivideIacute

6OgraveOgraveOgraveOgraveOgraveOgrave7 J H MJUO^eJU^jbnJSaringEFFFFFFFFFFFFG FFFFFFFFFFFFH

eacute thorn times Oslash yuml aacute a fj thorn yuml ^eJ H aDC Ptimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlcent aacute a fj thorn centcent yuml ^eJ H aDC centcenttimes Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yuml aacute a fj thorn curren yuml ^eJ H aDC 4times Oslash j48 raquo aq^J H atimesOslashjjeacute thorn times Oslash yumlAElig aacute a fj thorn cent yuml ^eJ H aDC centtimes Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlCcedil aacute a fj thorn curren yuml ^eJ H aDC times Oslash j48 raquo aq^eJ H atimesOslashjjeacute thorn times Oslash yumlEgrave aacute a fj thorn centcurren yuml ^eJ H aDCcent4times Oslash j48 raquo aq^eJ H a timesOslash jjeacute thorn times Oslash yumlAtilde aacute amp^eJ H a timesOslash j48 raquo aq^eJ H a timesOslash jj

uumlnyacutenthornnyumll13YSordmY_F2

yenKbrvbarsect =4 acirc $ SWMJLhZJC EBtimesOslash QcY H MeJgZaringN H hdQk ^eJU^jbnJU^Xh[]ZOacutetimesOslasharingcentm YZjeKKhZJUYZYZQcOF[ H MeJyuuml UumlON hZ[WNPO^ H MJ I UumlON bn[]fcjFZaringOO^]MeJbn[]ZOslashKj H N H Qc[]OordmX[Ph H MeJ^eJUYZbnhdQRK H [Ph|uuml thorn UgraveUcircUacuteUuml yuml QcYyYQZaringQcfcNihNPO^WFJ H MeJUOOslashMNUPJNPfcf H MeJ(JkWKhZJUYZYZQc[]OY H [aumlbn[]ZOslashKj H J H MeJJUP[]fcj H QR[]OaeligJjN H QR[]OXiacutehZ[]Z H MeJg[PJUOJLhNPfOXiacute[PhlZIacutejfcNta macr]j^gtMQcYcopy[]QVUPJUY H MeJTJUP[]fcj H QR[]O JBjN H QR[]Osup1admacr s j^

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBΩ out

Objects

Γ

inΩ

inΩ

Background Part

-t not Upv copy ETHEgraveIcircAtildeampAacuteiacuteCcedil=AumlFcedilAtilde5ordm|sup1Aumldraquo~AElig9AumldOgravefrac14raquoUacutesup1Igravefrac14dordm|Atilde

Ω

Ω out (τ)Ω

(τ)in

N

Γ(τ)

Ω

N

v

w

N

-t not Upv ETHEgraveIcircAtildeyEcircAumldIgravefrac14dsup1raquo~AEliggfrac14raquoiEcircAacuteIcircAtilde$AcircnAtilde5AgraveAacuteAumlcedilAEliggsup1raquoUAcircnAumldfrac12AcircnAtildeEcircsup1raquoiexclAacuteIcirc~Atilde$EcircAtildecedilsup1Acirc|frac14ZAacutesup1Aumldraquo

uumlnyacutenthornnyumll13YSordmY_F2ordf

yenKbrvbarsect =4 acirc $ Smacr

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 Atilde|IumligraveAacuteAtildecedil4frac14ZAacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvyzU eacuteWsup1ordm|AringcedilAtilde5AEligfrac14iquest Eacuteiquest AgraveJ]iUumlAcircnAumldfrac12AringAacutesup1Auml|raquoOtildeAumlOgraveeAacuteIcirc~Atildeyfrac14dAgrave Aacutesup1Acirc|Atilde0AgraveAuml|raquoLAacuteAuml|AringcedilIgravefrac14raquoifrac14ordm|AtildeEcircUacuteEacuteLfrac34AacuteIcirc~AtildefTHORN$Uuml v qzqwsup1raquo~Agrave5frac12AringiEcircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquoifrac14frac12ampAacuteAtildecedilIgrave(AElig5IumlgeacuteWsup1ordm|AringcedilAtilde5AEligOtildeEcirc]iquest Atildediquest Ograve] g sup1AEligwAringifrac14frac12sup1Ocirc5frac14Aacutesup1Auml|raquo`AumldOgrave0AacuteIcirc~AtildeTAgrave5AumldcedilwcedilAtilde5AEligwOumlPAumldraquoiEcircsup1raquoordmAcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 OgraveuAring~raquoAgraveAacutesup1Auml|raquosup1raquo~Agrave5frac12Aring~Ecircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquo~frac14dfrac12ampAacuteAtildecedilIgrave(AEligraquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirc EacutePAtildeAacuteiacuteCcedil=Atilde5Atilde5raquo ugrave frac14draquoiEcirc divide JUiquestAEligwAring~Agrave4IcircTAacuteIcirc~frac14Aacute$AacuteIcircAtilderaquo~Atilde5ordm|frac14Aacutesup1AcircnAtildeAcircdfrac14dfrac12AringAtilde5AElig0frac14cedilAtildefrac12AumlCcedilEgraveAtildecedilyAacuteIcirc~frac14draquo uacutedivide Uacutefrac14raquoiEcircaumlAacuteIcirc~AtildeOumlPAumldAEligwsup1Aacutesup1AcircnAtilde(Aumldraquo~Atilde5AEligyfrac14ZcedilAtilde(Icirc~sup1ordm|IcircAtildecedilAacuteIcircifrac14raquo uacuteZdivide Iuml

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

Ecirc]Iumligraveraquo~sup1currenAacutesup1frac14dfrac12BAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 Atilde|IumligraveAacuteAtilde cedil4frac14Aacutesup1Auml|raquo ugravedugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not Upv ucirc eacuteWsup1ordmdAringcedilAtilde5AEligtimesfrac14iquest Eacuteiquest AgraveJ]ampUumlAcirc|Auml|frac12AringAacutesup1Auml|raquoAumlOgrave(AacuteIcirc~Atildearingfrac14AgraveAacutesup1AcircnAtildeOslashAgrave5Auml|raquoLAacuteAumldAringcedilIacuteIgravefrac14draquoifrac14ordm|AtildeEcirc`EacuteUfrac34AacuteIcircAtildeOcircfTHORN$Uumlv q w iquestiexclCcedilgsup1currenAacuteIcirc~AumldAringAacuteAacuteIcirc~Atildefrac14dEcirc~Ecircsup1Aacutesup1Aumldraquoifrac14dfrac12TAacuteAtildecedilIgrave(AElig5IumliexcleacuteWsup1ordm|AringcedilAtildeAElig Ecirc]iquest Atildediquest Ograve] g sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo AumlOgraveaeligAacuteIcirc~AtildeAgraveAumldcedilwcedilAtildeEumlAEligwOumlPAuml|raquo~Ecircsup1raquo~ordm AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 OgraveregAring~raquo~Agrave Aacutesup1AumldraquoeumlCcedilgsup1currenAacuteIcirc~Auml|AringAacuteIacuteAacuteIcircAtilde frac14|Ecirc~Ecircsup1currenAacutesup1Aumldraquoifrac14frac12FAacuteAtildecedilIgrave(AElig v raquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirceumlAEligwAring~Agrave4Icirc AacuteIcirc~frac14AacuteIgravefrac14icirc vOOtilde wpOumldivide z w Iuml

uumlnyacutenthornnyumll13YSordmY_F2

S $amp)(+-)013021+345627893lt=gt9A6CB

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIumligravesAacuteAtildecedil4frac14Aacutesup1Aumldraquogt ugrave|ugrave AgravedIumlieacuteWsup1raquoifrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12Acirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 AtildedIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIumlieacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvtimesLg sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo(AumldOgravePAacuteIcirc~AtildeAtildeAcircnAuml|frac12AringAacutesup1AumldraquoAumldOgravePAacuteIcircAtildeEgraveAgrave5Auml|raquoLAacuteAumldAringcedil-frac14draquo~EcircNtildeAacuteIcirc~AtildeEgraveAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 v Ccedilgsup1AacuteIcircAuml|AringAacuteAacuteIcircAtildeEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircFAacuteAtilde cedilIgrave w OgraveregAumldcedilEgraveAacuteIcircAtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoAumlOgraveAacuteIcircAtilde9Ograveufrac14dAgrave5AtildeAring~AEligwsup1raquo~ordmyAacuteIcirc~Atilde9Agrave5AumlZAcirc|frac14Zcedilsup1frac14draquo~AgraveAtildeIgravefrac14Aacutewcedilsup1currenicirc]Iuml

frac14Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcircnAtilde EacuteIumligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 v AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde w Agrave|Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacutefrac34 v Acircdfrac14cedilsup1frac14draquoAgrave5Atilde w-t not Upv h=AumldIgrave(Oumlifrac14cedilsup1AEligwAumldraquoOtildeAumldOgraveAacuteIcirc~Atilde$sup1raquo~sup1currenAacutesup1frac14dfrac12eAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34iexclAgrave5Auml|Igrave(OumlAringAacuteAtildeEcircAringAEligwsup1raquo~ordmAacuteIcirc~Atilde$AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde0Igravefrac14Aacutewcedilsup1currenicircv iordmdAringcedilAtildeFEacute w AacuteAumliexclAacuteIcircAtildeAuml|raquoAtildeFAgrave5AumldIgrave(Ouml~AringAacuteAtildeEcircTAringAEligwsup1raquo~ordmiexclAacuteIcircAtildeFAcircdfrac14cedilsup1frac14draquoAgrave5Atilde v ~ordm|AringcedilAtildeFAgrave w OgraveregcedilAumldIgrave AacuteIcirc~AtildeNtildeAEligfrac14dIgrave(Atildesup1raquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcirc|Atilde v iordmdAringcedilAtilde$frac14 w Iuml

uumlnyacutenthornnyumll13YSordmY_F2_a

yenKbrvbarsect =4 acirc $ ]z

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv Oslash| THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5AtildeccediliacuteAtildecedilsup1UgraveUegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_o

Si $amp)(+-)013021+345627893lt=gt9A6CB

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv ordf THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5Atildeccedilqfrac14dUgraveUsup1currenfrac34LAumldegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_y

RR-0114-SJEHANpdf
  • wwwi3sunicefr
    • httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf
Page 43: LABORATOIRE INFORMATIQUE, SIGNAUX ET SYSTEMES DE …mh/RR/2001/liste-2001.pdf · 2002. 6. 27. · [Dir01] DIRAT L. “Outils pour des Mathématiques Interactives et Distribuées”

yenKbrvbarsect =4 acirc $ SWMJLhZJC EBtimesOslash QcY H MeJgZaringN H hdQk ^eJU^jbnJU^Xh[]ZOacutetimesOslasharingcentm YZjeKKhZJUYZYZQcOF[ H MeJyuuml UumlON hZ[WNPO^ H MJ I UumlON bn[]fcjFZaringOO^]MeJbn[]ZOslashKj H N H Qc[]OordmX[Ph H MeJ^eJUYZbnhdQRK H [Ph|uuml thorn UgraveUcircUacuteUuml yuml QcYyYQZaringQcfcNihNPO^WFJ H MeJUOOslashMNUPJNPfcf H MeJ(JkWKhZJUYZYZQc[]OY H [aumlbn[]ZOslashKj H J H MeJJUP[]fcj H QR[]OaeligJjN H QR[]OXiacutehZ[]Z H MeJg[PJUOJLhNPfOXiacute[PhlZIacutejfcNta macr]j^gtMQcYcopy[]QVUPJUY H MeJTJUP[]fcj H QR[]O JBjN H QR[]Osup1admacr s j^

uumlnyacutenthornnyumll13YSordmY_F2

$amp)(+-)013021+345627893lt=gt9A6CBΩ out

Objects

Γ

inΩ

inΩ

Background Part

-t not Upv copy ETHEgraveIcircAtildeampAacuteiacuteCcedil=AumlFcedilAtilde5ordm|sup1Aumldraquo~AElig9AumldOgravefrac14raquoUacutesup1Igravefrac14dordm|Atilde

Ω

Ω out (τ)Ω

(τ)in

N

Γ(τ)

Ω

N

v

w

N

-t not Upv ETHEgraveIcircAtildeyEcircAumldIgravefrac14dsup1raquo~AEliggfrac14raquoiEcircAacuteIcircAtilde$AcircnAtilde5AgraveAacuteAumlcedilAEliggsup1raquoUAcircnAumldfrac12AcircnAtildeEcircsup1raquoiexclAacuteIcirc~Atilde$EcircAtildecedilsup1Acirc|frac14ZAacutesup1Aumldraquo

uumlnyacutenthornnyumll13YSordmY_F2ordf

yenKbrvbarsect =4 acirc $ Smacr

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 Atilde|IumligraveAacuteAtildecedil4frac14ZAacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvyzU eacuteWsup1ordm|AringcedilAtilde5AEligfrac14iquest Eacuteiquest AgraveJ]iUumlAcircnAumldfrac12AringAacutesup1Auml|raquoOtildeAumlOgraveeAacuteIcirc~Atildeyfrac14dAgrave Aacutesup1Acirc|Atilde0AgraveAuml|raquoLAacuteAuml|AringcedilIgravefrac14raquoifrac14ordm|AtildeEcircUacuteEacuteLfrac34AacuteIcirc~AtildefTHORN$Uuml v qzqwsup1raquo~Agrave5frac12AringiEcircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquoifrac14frac12ampAacuteAtildecedilIgrave(AElig5IumlgeacuteWsup1ordm|AringcedilAtilde5AEligOtildeEcirc]iquest Atildediquest Ograve] g sup1AEligwAringifrac14frac12sup1Ocirc5frac14Aacutesup1Auml|raquo`AumldOgrave0AacuteIcirc~AtildeTAgrave5AumldcedilwcedilAtilde5AEligwOumlPAumldraquoiEcircsup1raquoordmAcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 OgraveuAring~raquoAgraveAacutesup1Auml|raquosup1raquo~Agrave5frac12Aring~Ecircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquo~frac14dfrac12ampAacuteAtildecedilIgrave(AEligraquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirc EacutePAtildeAacuteiacuteCcedil=Atilde5Atilde5raquo ugrave frac14draquoiEcirc divide JUiquestAEligwAring~Agrave4IcircTAacuteIcirc~frac14Aacute$AacuteIcircAtilderaquo~Atilde5ordm|frac14Aacutesup1AcircnAtildeAcircdfrac14dfrac12AringAtilde5AElig0frac14cedilAtildefrac12AumlCcedilEgraveAtildecedilyAacuteIcirc~frac14draquo uacutedivide Uacutefrac14raquoiEcircaumlAacuteIcirc~AtildeOumlPAumldAEligwsup1Aacutesup1AcircnAtilde(Aumldraquo~Atilde5AEligyfrac14ZcedilAtilde(Icirc~sup1ordm|IcircAtildecedilAacuteIcircifrac14raquo uacuteZdivide Iuml

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

Ecirc]Iumligraveraquo~sup1currenAacutesup1frac14dfrac12BAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 Atilde|IumligraveAacuteAtilde cedil4frac14Aacutesup1Auml|raquo ugravedugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not Upv ucirc eacuteWsup1ordmdAringcedilAtilde5AEligtimesfrac14iquest Eacuteiquest AgraveJ]ampUumlAcirc|Auml|frac12AringAacutesup1Auml|raquoAumlOgrave(AacuteIcirc~Atildearingfrac14AgraveAacutesup1AcircnAtildeOslashAgrave5Auml|raquoLAacuteAumldAringcedilIacuteIgravefrac14draquoifrac14ordm|AtildeEcirc`EacuteUfrac34AacuteIcircAtildeOcircfTHORN$Uumlv q w iquestiexclCcedilgsup1currenAacuteIcirc~AumldAringAacuteAacuteIcirc~Atildefrac14dEcirc~Ecircsup1Aacutesup1Aumldraquoifrac14dfrac12TAacuteAtildecedilIgrave(AElig5IumliexcleacuteWsup1ordm|AringcedilAtildeAElig Ecirc]iquest Atildediquest Ograve] g sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo AumlOgraveaeligAacuteIcirc~AtildeAgraveAumldcedilwcedilAtildeEumlAEligwOumlPAuml|raquo~Ecircsup1raquo~ordm AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 OgraveregAring~raquo~Agrave Aacutesup1AumldraquoeumlCcedilgsup1currenAacuteIcirc~Auml|AringAacuteIacuteAacuteIcircAtilde frac14|Ecirc~Ecircsup1currenAacutesup1Aumldraquoifrac14frac12FAacuteAtildecedilIgrave(AElig v raquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirceumlAEligwAring~Agrave4Icirc AacuteIcirc~frac14AacuteIgravefrac14icirc vOOtilde wpOumldivide z w Iuml

uumlnyacutenthornnyumll13YSordmY_F2

S $amp)(+-)013021+345627893lt=gt9A6CB

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIumligravesAacuteAtildecedil4frac14Aacutesup1Aumldraquogt ugrave|ugrave AgravedIumlieacuteWsup1raquoifrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12Acirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 AtildedIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIumlieacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvtimesLg sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo(AumldOgravePAacuteIcirc~AtildeAtildeAcircnAuml|frac12AringAacutesup1AumldraquoAumldOgravePAacuteIcircAtildeEgraveAgrave5Auml|raquoLAacuteAumldAringcedil-frac14draquo~EcircNtildeAacuteIcirc~AtildeEgraveAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 v Ccedilgsup1AacuteIcircAuml|AringAacuteAacuteIcircAtildeEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircFAacuteAtilde cedilIgrave w OgraveregAumldcedilEgraveAacuteIcircAtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoAumlOgraveAacuteIcircAtilde9Ograveufrac14dAgrave5AtildeAring~AEligwsup1raquo~ordmyAacuteIcirc~Atilde9Agrave5AumlZAcirc|frac14Zcedilsup1frac14draquo~AgraveAtildeIgravefrac14Aacutewcedilsup1currenicirc]Iuml

frac14Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcircnAtilde EacuteIumligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 v AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde w Agrave|Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacutefrac34 v Acircdfrac14cedilsup1frac14draquoAgrave5Atilde w-t not Upv h=AumldIgrave(Oumlifrac14cedilsup1AEligwAumldraquoOtildeAumldOgraveAacuteIcirc~Atilde$sup1raquo~sup1currenAacutesup1frac14dfrac12eAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34iexclAgrave5Auml|Igrave(OumlAringAacuteAtildeEcircAringAEligwsup1raquo~ordmAacuteIcirc~Atilde$AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde0Igravefrac14Aacutewcedilsup1currenicircv iordmdAringcedilAtildeFEacute w AacuteAumliexclAacuteIcircAtildeAuml|raquoAtildeFAgrave5AumldIgrave(Ouml~AringAacuteAtildeEcircTAringAEligwsup1raquo~ordmiexclAacuteIcircAtildeFAcircdfrac14cedilsup1frac14draquoAgrave5Atilde v ~ordm|AringcedilAtildeFAgrave w OgraveregcedilAumldIgrave AacuteIcirc~AtildeNtildeAEligfrac14dIgrave(Atildesup1raquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcirc|Atilde v iordmdAringcedilAtilde$frac14 w Iuml

uumlnyacutenthornnyumll13YSordmY_F2_a

yenKbrvbarsect =4 acirc $ ]z

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv Oslash| THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5AtildeccediliacuteAtildecedilsup1UgraveUegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_o

Si $amp)(+-)013021+345627893lt=gt9A6CB

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv ordf THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5Atildeccedilqfrac14dUgraveUsup1currenfrac34LAumldegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_y

RR-0114-SJEHANpdf
  • wwwi3sunicefr
    • httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf
Page 44: LABORATOIRE INFORMATIQUE, SIGNAUX ET SYSTEMES DE …mh/RR/2001/liste-2001.pdf · 2002. 6. 27. · [Dir01] DIRAT L. “Outils pour des Mathématiques Interactives et Distribuées”

$amp)(+-)013021+345627893lt=gt9A6CBΩ out

Objects

Γ

inΩ

inΩ

Background Part

-t not Upv copy ETHEgraveIcircAtildeampAacuteiacuteCcedil=AumlFcedilAtilde5ordm|sup1Aumldraquo~AElig9AumldOgravefrac14raquoUacutesup1Igravefrac14dordm|Atilde

Ω

Ω out (τ)Ω

(τ)in

N

Γ(τ)

Ω

N

v

w

N

-t not Upv ETHEgraveIcircAtildeyEcircAumldIgravefrac14dsup1raquo~AEliggfrac14raquoiEcircAacuteIcircAtilde$AcircnAtilde5AgraveAacuteAumlcedilAEliggsup1raquoUAcircnAumldfrac12AcircnAtildeEcircsup1raquoiexclAacuteIcirc~Atilde$EcircAtildecedilsup1Acirc|frac14ZAacutesup1Aumldraquo

uumlnyacutenthornnyumll13YSordmY_F2ordf

yenKbrvbarsect =4 acirc $ Smacr

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 Atilde|IumligraveAacuteAtildecedil4frac14ZAacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvyzU eacuteWsup1ordm|AringcedilAtilde5AEligfrac14iquest Eacuteiquest AgraveJ]iUumlAcircnAumldfrac12AringAacutesup1Auml|raquoOtildeAumlOgraveeAacuteIcirc~Atildeyfrac14dAgrave Aacutesup1Acirc|Atilde0AgraveAuml|raquoLAacuteAuml|AringcedilIgravefrac14raquoifrac14ordm|AtildeEcircUacuteEacuteLfrac34AacuteIcirc~AtildefTHORN$Uuml v qzqwsup1raquo~Agrave5frac12AringiEcircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquoifrac14frac12ampAacuteAtildecedilIgrave(AElig5IumlgeacuteWsup1ordm|AringcedilAtilde5AEligOtildeEcirc]iquest Atildediquest Ograve] g sup1AEligwAringifrac14frac12sup1Ocirc5frac14Aacutesup1Auml|raquo`AumldOgrave0AacuteIcirc~AtildeTAgrave5AumldcedilwcedilAtilde5AEligwOumlPAumldraquoiEcircsup1raquoordmAcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 OgraveuAring~raquoAgraveAacutesup1Auml|raquosup1raquo~Agrave5frac12Aring~Ecircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquo~frac14dfrac12ampAacuteAtildecedilIgrave(AEligraquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirc EacutePAtildeAacuteiacuteCcedil=Atilde5Atilde5raquo ugrave frac14draquoiEcirc divide JUiquestAEligwAring~Agrave4IcircTAacuteIcirc~frac14Aacute$AacuteIcircAtilderaquo~Atilde5ordm|frac14Aacutesup1AcircnAtildeAcircdfrac14dfrac12AringAtilde5AElig0frac14cedilAtildefrac12AumlCcedilEgraveAtildecedilyAacuteIcirc~frac14draquo uacutedivide Uacutefrac14raquoiEcircaumlAacuteIcirc~AtildeOumlPAumldAEligwsup1Aacutesup1AcircnAtilde(Aumldraquo~Atilde5AEligyfrac14ZcedilAtilde(Icirc~sup1ordm|IcircAtildecedilAacuteIcircifrac14raquo uacuteZdivide Iuml

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

Ecirc]Iumligraveraquo~sup1currenAacutesup1frac14dfrac12BAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 Atilde|IumligraveAacuteAtilde cedil4frac14Aacutesup1Auml|raquo ugravedugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not Upv ucirc eacuteWsup1ordmdAringcedilAtilde5AEligtimesfrac14iquest Eacuteiquest AgraveJ]ampUumlAcirc|Auml|frac12AringAacutesup1Auml|raquoAumlOgrave(AacuteIcirc~Atildearingfrac14AgraveAacutesup1AcircnAtildeOslashAgrave5Auml|raquoLAacuteAumldAringcedilIacuteIgravefrac14draquoifrac14ordm|AtildeEcirc`EacuteUfrac34AacuteIcircAtildeOcircfTHORN$Uumlv q w iquestiexclCcedilgsup1currenAacuteIcirc~AumldAringAacuteAacuteIcirc~Atildefrac14dEcirc~Ecircsup1Aacutesup1Aumldraquoifrac14dfrac12TAacuteAtildecedilIgrave(AElig5IumliexcleacuteWsup1ordm|AringcedilAtildeAElig Ecirc]iquest Atildediquest Ograve] g sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo AumlOgraveaeligAacuteIcirc~AtildeAgraveAumldcedilwcedilAtildeEumlAEligwOumlPAuml|raquo~Ecircsup1raquo~ordm AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 OgraveregAring~raquo~Agrave Aacutesup1AumldraquoeumlCcedilgsup1currenAacuteIcirc~Auml|AringAacuteIacuteAacuteIcircAtilde frac14|Ecirc~Ecircsup1currenAacutesup1Aumldraquoifrac14frac12FAacuteAtildecedilIgrave(AElig v raquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirceumlAEligwAring~Agrave4Icirc AacuteIcirc~frac14AacuteIgravefrac14icirc vOOtilde wpOumldivide z w Iuml

uumlnyacutenthornnyumll13YSordmY_F2

S $amp)(+-)013021+345627893lt=gt9A6CB

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIumligravesAacuteAtildecedil4frac14Aacutesup1Aumldraquogt ugrave|ugrave AgravedIumlieacuteWsup1raquoifrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12Acirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 AtildedIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIumlieacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvtimesLg sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo(AumldOgravePAacuteIcirc~AtildeAtildeAcircnAuml|frac12AringAacutesup1AumldraquoAumldOgravePAacuteIcircAtildeEgraveAgrave5Auml|raquoLAacuteAumldAringcedil-frac14draquo~EcircNtildeAacuteIcirc~AtildeEgraveAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 v Ccedilgsup1AacuteIcircAuml|AringAacuteAacuteIcircAtildeEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircFAacuteAtilde cedilIgrave w OgraveregAumldcedilEgraveAacuteIcircAtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoAumlOgraveAacuteIcircAtilde9Ograveufrac14dAgrave5AtildeAring~AEligwsup1raquo~ordmyAacuteIcirc~Atilde9Agrave5AumlZAcirc|frac14Zcedilsup1frac14draquo~AgraveAtildeIgravefrac14Aacutewcedilsup1currenicirc]Iuml

frac14Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcircnAtilde EacuteIumligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 v AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde w Agrave|Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacutefrac34 v Acircdfrac14cedilsup1frac14draquoAgrave5Atilde w-t not Upv h=AumldIgrave(Oumlifrac14cedilsup1AEligwAumldraquoOtildeAumldOgraveAacuteIcirc~Atilde$sup1raquo~sup1currenAacutesup1frac14dfrac12eAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34iexclAgrave5Auml|Igrave(OumlAringAacuteAtildeEcircAringAEligwsup1raquo~ordmAacuteIcirc~Atilde$AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde0Igravefrac14Aacutewcedilsup1currenicircv iordmdAringcedilAtildeFEacute w AacuteAumliexclAacuteIcircAtildeAuml|raquoAtildeFAgrave5AumldIgrave(Ouml~AringAacuteAtildeEcircTAringAEligwsup1raquo~ordmiexclAacuteIcircAtildeFAcircdfrac14cedilsup1frac14draquoAgrave5Atilde v ~ordm|AringcedilAtildeFAgrave w OgraveregcedilAumldIgrave AacuteIcirc~AtildeNtildeAEligfrac14dIgrave(Atildesup1raquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcirc|Atilde v iordmdAringcedilAtilde$frac14 w Iuml

uumlnyacutenthornnyumll13YSordmY_F2_a

yenKbrvbarsect =4 acirc $ ]z

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv Oslash| THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5AtildeccediliacuteAtildecedilsup1UgraveUegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_o

Si $amp)(+-)013021+345627893lt=gt9A6CB

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv ordf THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5Atildeccedilqfrac14dUgraveUsup1currenfrac34LAumldegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_y

RR-0114-SJEHANpdf
  • wwwi3sunicefr
    • httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf
Page 45: LABORATOIRE INFORMATIQUE, SIGNAUX ET SYSTEMES DE …mh/RR/2001/liste-2001.pdf · 2002. 6. 27. · [Dir01] DIRAT L. “Outils pour des Mathématiques Interactives et Distribuées”

yenKbrvbarsect =4 acirc $ Smacr

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 Atilde|IumligraveAacuteAtildecedil4frac14ZAacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvyzU eacuteWsup1ordm|AringcedilAtilde5AEligfrac14iquest Eacuteiquest AgraveJ]iUumlAcircnAumldfrac12AringAacutesup1Auml|raquoOtildeAumlOgraveeAacuteIcirc~Atildeyfrac14dAgrave Aacutesup1Acirc|Atilde0AgraveAuml|raquoLAacuteAuml|AringcedilIgravefrac14raquoifrac14ordm|AtildeEcircUacuteEacuteLfrac34AacuteIcirc~AtildefTHORN$Uuml v qzqwsup1raquo~Agrave5frac12AringiEcircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquoifrac14frac12ampAacuteAtildecedilIgrave(AElig5IumlgeacuteWsup1ordm|AringcedilAtilde5AEligOtildeEcirc]iquest Atildediquest Ograve] g sup1AEligwAringifrac14frac12sup1Ocirc5frac14Aacutesup1Auml|raquo`AumldOgrave0AacuteIcirc~AtildeTAgrave5AumldcedilwcedilAtilde5AEligwOumlPAumldraquoiEcircsup1raquoordmAcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 OgraveuAring~raquoAgraveAacutesup1Auml|raquosup1raquo~Agrave5frac12Aring~Ecircsup1raquo~ordmOslashAacuteIcirc~AtildeIacutefrac14|EcircEcircsup1currenAacutesup1Auml|raquo~frac14dfrac12ampAacuteAtildecedilIgrave(AEligraquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirc EacutePAtildeAacuteiacuteCcedil=Atilde5Atilde5raquo ugrave frac14draquoiEcirc divide JUiquestAEligwAring~Agrave4IcircTAacuteIcirc~frac14Aacute$AacuteIcircAtilderaquo~Atilde5ordm|frac14Aacutesup1AcircnAtildeAcircdfrac14dfrac12AringAtilde5AElig0frac14cedilAtildefrac12AumlCcedilEgraveAtildecedilyAacuteIcirc~frac14draquo uacutedivide Uacutefrac14raquoiEcircaumlAacuteIcirc~AtildeOumlPAumldAEligwsup1Aacutesup1AcircnAtilde(Aumldraquo~Atilde5AEligyfrac14ZcedilAtilde(Icirc~sup1ordm|IcircAtildecedilAacuteIcircifrac14raquo uacuteZdivide Iuml

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave AgravedIumlPeacuteWsup1raquoifrac14frac12Agrave5AumldraquoLAacuteAuml|Aringcedil

Ecirc]Iumligraveraquo~sup1currenAacutesup1frac14dfrac12BAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 Atilde|IumligraveAacuteAtilde cedil4frac14Aacutesup1Auml|raquo ugravedugrave OgraveiacuteIuml~eacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not Upv ucirc eacuteWsup1ordmdAringcedilAtilde5AEligtimesfrac14iquest Eacuteiquest AgraveJ]ampUumlAcirc|Auml|frac12AringAacutesup1Auml|raquoAumlOgrave(AacuteIcirc~Atildearingfrac14AgraveAacutesup1AcircnAtildeOslashAgrave5Auml|raquoLAacuteAumldAringcedilIacuteIgravefrac14draquoifrac14ordm|AtildeEcirc`EacuteUfrac34AacuteIcircAtildeOcircfTHORN$Uumlv q w iquestiexclCcedilgsup1currenAacuteIcirc~AumldAringAacuteAacuteIcirc~Atildefrac14dEcirc~Ecircsup1Aacutesup1Aumldraquoifrac14dfrac12TAacuteAtildecedilIgrave(AElig5IumliexcleacuteWsup1ordm|AringcedilAtildeAElig Ecirc]iquest Atildediquest Ograve] g sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo AumlOgraveaeligAacuteIcirc~AtildeAgraveAumldcedilwcedilAtildeEumlAEligwOumlPAuml|raquo~Ecircsup1raquo~ordm AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 OgraveregAring~raquo~Agrave Aacutesup1AumldraquoeumlCcedilgsup1currenAacuteIcirc~Auml|AringAacuteIacuteAacuteIcircAtilde frac14|Ecirc~Ecircsup1currenAacutesup1Aumldraquoifrac14frac12FAacuteAtildecedilIgrave(AElig v raquo~AumlcedilIgravefrac14dfrac12sup1Ocirc5AtildeEcirceumlAEligwAring~Agrave4Icirc AacuteIcirc~frac14AacuteIgravefrac14icirc vOOtilde wpOumldivide z w Iuml

uumlnyacutenthornnyumll13YSordmY_F2

S $amp)(+-)013021+345627893lt=gt9A6CB

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIumligravesAacuteAtildecedil4frac14Aacutesup1Aumldraquogt ugrave|ugrave AgravedIumlieacuteWsup1raquoifrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12Acirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 AtildedIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIumlieacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvtimesLg sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo(AumldOgravePAacuteIcirc~AtildeAtildeAcircnAuml|frac12AringAacutesup1AumldraquoAumldOgravePAacuteIcircAtildeEgraveAgrave5Auml|raquoLAacuteAumldAringcedil-frac14draquo~EcircNtildeAacuteIcirc~AtildeEgraveAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 v Ccedilgsup1AacuteIcircAuml|AringAacuteAacuteIcircAtildeEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircFAacuteAtilde cedilIgrave w OgraveregAumldcedilEgraveAacuteIcircAtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoAumlOgraveAacuteIcircAtilde9Ograveufrac14dAgrave5AtildeAring~AEligwsup1raquo~ordmyAacuteIcirc~Atilde9Agrave5AumlZAcirc|frac14Zcedilsup1frac14draquo~AgraveAtildeIgravefrac14Aacutewcedilsup1currenicirc]Iuml

frac14Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcircnAtilde EacuteIumligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 v AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde w Agrave|Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacutefrac34 v Acircdfrac14cedilsup1frac14draquoAgrave5Atilde w-t not Upv h=AumldIgrave(Oumlifrac14cedilsup1AEligwAumldraquoOtildeAumldOgraveAacuteIcirc~Atilde$sup1raquo~sup1currenAacutesup1frac14dfrac12eAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34iexclAgrave5Auml|Igrave(OumlAringAacuteAtildeEcircAringAEligwsup1raquo~ordmAacuteIcirc~Atilde$AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde0Igravefrac14Aacutewcedilsup1currenicircv iordmdAringcedilAtildeFEacute w AacuteAumliexclAacuteIcircAtildeAuml|raquoAtildeFAgrave5AumldIgrave(Ouml~AringAacuteAtildeEcircTAringAEligwsup1raquo~ordmiexclAacuteIcircAtildeFAcircdfrac14cedilsup1frac14draquoAgrave5Atilde v ~ordm|AringcedilAtildeFAgrave w OgraveregcedilAumldIgrave AacuteIcirc~AtildeNtildeAEligfrac14dIgrave(Atildesup1raquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcirc|Atilde v iordmdAringcedilAtilde$frac14 w Iuml

uumlnyacutenthornnyumll13YSordmY_F2_a

yenKbrvbarsect =4 acirc $ ]z

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv Oslash| THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5AtildeccediliacuteAtildecedilsup1UgraveUegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_o

Si $amp)(+-)013021+345627893lt=gt9A6CB

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv ordf THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5Atildeccedilqfrac14dUgraveUsup1currenfrac34LAumldegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_y

RR-0114-SJEHANpdf
  • wwwi3sunicefr
    • httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf
Page 46: LABORATOIRE INFORMATIQUE, SIGNAUX ET SYSTEMES DE …mh/RR/2001/liste-2001.pdf · 2002. 6. 27. · [Dir01] DIRAT L. “Outils pour des Mathématiques Interactives et Distribuées”

S $amp)(+-)013021+345627893lt=gt9A6CB

frac14UIumlUacuteigraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil EacuteIumligravesAacuteAtildecedil4frac14Aacutesup1Aumldraquogt ugrave|ugrave AgravedIumlieacuteWsup1raquoifrac14frac12AgraveAuml|raquoLAacuteAuml|Aringcedil

EcircIumliexcligraveiacuteraquosup1currenAacutesup1Yacutefrac14frac12Acirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 AtildedIuml~igravesAacuteAtildecedil4frac14Aacutesup1Auml|raquo ugrave|ugrave OgraveiacuteIumlieacuteWsup1raquo~frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34-t not UpvtimesLg sup1AEligwAring~frac14dfrac12sup1Ocircfrac14Aacutesup1Aumldraquo(AumldOgravePAacuteIcirc~AtildeAtildeAcircnAuml|frac12AringAacutesup1AumldraquoAumldOgravePAacuteIcircAtildeEgraveAgrave5Auml|raquoLAacuteAumldAringcedil-frac14draquo~EcircNtildeAacuteIcirc~AtildeEgraveAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34 v Ccedilgsup1AacuteIcircAuml|AringAacuteAacuteIcircAtildeEacutePAuml|AringraquoiEcirc~frac14Zcedilwfrac34UEumlEacute~frac14dAEligwAtildeEcircFAacuteAtilde cedilIgrave w OgraveregAumldcedilEgraveAacuteIcircAtildeAEligwAtilde5ordmdIgrave(Atilde5raquoLAacute4frac14Aacutesup1Auml|raquoAumlOgraveAacuteIcircAtilde9Ograveufrac14dAgrave5AtildeAring~AEligwsup1raquo~ordmyAacuteIcirc~Atilde9Agrave5AumlZAcirc|frac14Zcedilsup1frac14draquo~AgraveAtildeIgravefrac14Aacutewcedilsup1currenicirc]Iuml

frac14Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcircnAtilde EacuteIumligraveiacuteraquosup1Aacutesup1frac14frac12AcircnAtildefrac12AumlLAgravesup1Aacutefrac34 v AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde w Agrave|Iumligraveiacuteraquo~sup1currenAacutesup1frac14dfrac12AcircnAtilde5frac12AumlLAgrave5sup1currenAacutefrac34 v Acircdfrac14cedilsup1frac14draquoAgrave5Atilde w-t not Upv h=AumldIgrave(Oumlifrac14cedilsup1AEligwAumldraquoOtildeAumldOgraveAacuteIcirc~Atilde$sup1raquo~sup1currenAacutesup1frac14dfrac12eAcirc|Atilde5frac12AumlLAgrave5sup1currenAacuteiacutefrac34iexclAgrave5Auml|Igrave(OumlAringAacuteAtildeEcircAringAEligwsup1raquo~ordmAacuteIcirc~Atilde$AgraveAumlAcircdfrac14cedilsup1frac14raquo~Agrave5Atilde0Igravefrac14Aacutewcedilsup1currenicircv iordmdAringcedilAtildeFEacute w AacuteAumliexclAacuteIcircAtildeAuml|raquoAtildeFAgrave5AumldIgrave(Ouml~AringAacuteAtildeEcircTAringAEligwsup1raquo~ordmiexclAacuteIcircAtildeFAcircdfrac14cedilsup1frac14draquoAgrave5Atilde v ~ordm|AringcedilAtildeFAgrave w OgraveregcedilAumldIgrave AacuteIcirc~AtildeNtildeAEligfrac14dIgrave(Atildesup1raquo~sup1currenAacutesup1frac14dfrac12Agrave5AringcedilAcirc|Atilde v iordmdAringcedilAtilde$frac14 w Iuml

uumlnyacutenthornnyumll13YSordmY_F2_a

yenKbrvbarsect =4 acirc $ ]z

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv Oslash| THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5AtildeccediliacuteAtildecedilsup1UgraveUegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_o

Si $amp)(+-)013021+345627893lt=gt9A6CB

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv ordf THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5Atildeccedilqfrac14dUgraveUsup1currenfrac34LAumldegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_y

RR-0114-SJEHANpdf
  • wwwi3sunicefr
    • httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf
Page 47: LABORATOIRE INFORMATIQUE, SIGNAUX ET SYSTEMES DE …mh/RR/2001/liste-2001.pdf · 2002. 6. 27. · [Dir01] DIRAT L. “Outils pour des Mathématiques Interactives et Distribuées”

yenKbrvbarsect =4 acirc $ ]z

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv Oslash| THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5AtildeccediliacuteAtildecedilsup1UgraveUegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_o

Si $amp)(+-)013021+345627893lt=gt9A6CB

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv ordf THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5Atildeccedilqfrac14dUgraveUsup1currenfrac34LAumldegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_y

RR-0114-SJEHANpdf
  • wwwi3sunicefr
    • httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf
Page 48: LABORATOIRE INFORMATIQUE, SIGNAUX ET SYSTEMES DE …mh/RR/2001/liste-2001.pdf · 2002. 6. 27. · [Dir01] DIRAT L. “Outils pour des Mathématiques Interactives et Distribuées”

Si $amp)(+-)013021+345627893lt=gt9A6CB

eacuteWsup1raquo~frac14dfrac12BAgraveAringcedilAcircnAtilde UumleicircUAacutewcedil4frac14dAgraveAacuteAtildeEcircOgraveRfrac14Agrave5Atilde-t not Upv ordf THORNAtildeAacuteAtilde5AgraveAacutesup1Auml|raquoAumldOgraveWAacuteIcircAtildeOgraveRfrac14Agrave5AtildeyAuml|raquoAacuteIcircAtildeampAcircUsup1YacuteEcircAtilde5AumlAEligwAtildeecircLAringAtilde5raquo~Agrave5Atildeccedilqfrac14dUgraveUsup1currenfrac34LAumldegraveIuml

uumlnyacutenthornnyumll13YSordmY_F2_y

RR-0114-SJEHANpdf
  • wwwi3sunicefr
    • httpwwwi3sunicefr7EmhRR2001RR-0114-SJEHANpdf