effet du laitier granulé sur l'accélération de durcissement du béton par traitement thermique et...

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  • lllll ll lllllll llllll cll lclcclllllel lllllclcclblll ll blel ell llllllblll lellblell

    ll ell lltltllldlllbll dlll

    1K KelleellcclKK

    1K KellllllKM

    1

    1 DGGGGGGGGG GG GGtG tttttt tGttGGttG gg gggG 1ggg ggtgGG gtgGtG

    )GGGG)tG)GtGG))G)gg))G)

    R MMM ) tG GGGtGtt GpGGtGGGGGtG Gggt GGGGGG G'GgGtGG t'tG)tgGGeG Gg GGgp GG tGtGtGG GG

    )GgGt )ggGGGGgp )g mt gg m GG mg m) tgG tGt GGG)gGGGGeGt G))ttmgGt GG GeGGtmgGt Gg etGGGG

    GgGGGGGGG Gg eGgGG gGt GG GGG egGtmgGGG tgG eGttGt G'gG )GgG GGGtG G)GGGtmgGGGGG GGG gG

    e)etG G'GgtGgG )GgGG T g)TT TGGpT 0g t) GG eGttGt G'gG )GgG GGegtGGG GG GGGtg)GGG gG

    GtGtGt)tGGG GeetGGGGgG GG GgGetttGGGGG )rrggTrtrrTr 10g) GGgGgtG GGG gtgG rt DeGrGtG

    )GgtGgG gtb m)t GG GggG tG )GgG Ggt gG G Ggttt GgGt t'G))GG GG tG )tGGttG GG GggGgGG GgtGtGtGG )gggg GG 0bmg eGgrg) GtGtt mgG tG GGGGgGG rrt )gtmg GG gtgg)) rGt GtgtGGGt GGggtt

    GGggtGGG mgG tGt GGgGGtGt Gg )GgG GGGtG t'GGttgGGGG GG GggGGGGGGG tG GGgp GG tG )tGGttG GG

    GggGgGG Gg tGtGtGG Gtt GG GtGeG G'gGG GGGGt GG GG GtGtGgGGG rrt G'GgGGG GGGG) r))ttmgGGGGGt tG

    GgGgttG GG tG eGGGetG G'G)tgGGGtgG G'GGg )tgr) GtGtGgGGGt GG GeGGtmgGGGGG tGt GtttGGGeGt

    GGGGtgGGGG Gg eGgGG gG )g e) tGt gg m GGG GGGGgGG Ggp eGttGt Gg )GgG GGgtG gm e GG GG

    egGGgttGGG gGtmgGGGGG mg' gGG e)gGG GG 11 m) rG)tGt GG egGGGGGGG tGt GGgp GGgeGt

    G GeetGGGtgG GG GgGetttGGGGG gGtttttt t'GGGtgt GG t'GGegtGGG G GgGG GGt tGtGgGt GGtttGgGGt

    mgG eGttGt g)GGGgGt GGG GGgeG GG GGGtGGGGGG G)GGGtmgG)

    TTMTRTTT) T)tt GpGGGtGGGGGt tgGg GGG)tGt gt Gg tGgG) G)G tG)tgGGeG g) G)G GGGG g) )tGtG

    )gGGGeG ttGg )gt gg GGG mgm) gG G))tteGt GGG GGe)GGteGt GGG)gGGGGeGt g) eGGGGG

    GGGGtegtGGtt) GG GGGt) GgGt GGG egGtGmgGGGt) gG G)gtG g) )GGG GGGGGGG egGeGGGG )) G tGGGG egGtGg

    e)etG )tGGgG) T g)T TGGp T 0g t) GGG g) egGeGGGG ttG) GGGtGttG )) GGGtg)tGg GG )GGGGGtGgGeeGtGGGGgG GtGtGtetrGG )rrggTrtrrTr 10g) GGgGgeGG )) gtgG rt DeGrGtG )GgtGgG gtb m)t GGG

    )gG G)G tGGGGGG egGeGGGG tG Gttg tGgGtGG G)G G))GeG g) )tGGGGtt g) gGtGGtGg ttGg )gggg GGG 0bmg

    eGgrg) Gt tGtt Gt G)G drt GGGtg )g)mg GGG g)gg)) T)G GGtgtGt g)GGtGGG GGgtG G)GG GGGGGGG

    egGeGGGG GGgGGGGtGt tGGGgtGt )) tGeGGGttGg G)G GGGG GGG )tGGGGtt g) ttGg tGG gG gG G)G gGG )GGGt

    GGG )) GGeGGGttGg drt gG G)G gG)GG )GGG) r))tteGtt)t GgGgttG) GGG tGGGG G)tgGGGtgG eGGGetG)

    )dtg) GGeGGGtGt GGe)GGteGtt)t GGGt) GgG tGGGGgG)t )GG g GG)t) GGGe) gg m egGGGGGG Gg G)gtG

    g) G)G egGGGgt egGeGGGG GG gm GG)t GGG tGGG gGt) Gg 11 m g) )Gttt otGGtt)t egGGGGtGg G)G Gtg

    GGG)gGt g) GeeGtGGGGtgG g) )GGGGGtGg gtGGt G)G GGGtg)GGGG g) GGegtGGG gGtG G tGtgGt )GGGGG

    G)GG G)gtG g)GGtGGG )) )GGG GGGGGGGGG GGgeGtt)

    MLTMLTL M : rGtGtGGt etGGGG GgGGtGGG GGGt)tetGtt GGGtGGGGGG G)GGGtmgG Gg )GgGt GGegtGGGt

    GtttGGGeG)

    ::: :LR:M: gtGgt GGGt)tetGt rgGGtGGG eGGGGGt )GGG GGGGGGGGG g) egGeGGGGt GGGtGttGt tGGGGgG))

  • DGGG)tG Gtl G))GG Gg tGtGtGG gGGGgt tgG t'GeetGGGtgG GG GgGetttGGGGG Gg )GgG

    GGG GGGtGGGGGG G)GGGtmgG GG GGG GGegtGGG

    1

    1GG tgGgGt lGGGGGGGtgGGt GtDDgg11TT)GttG 11T1g geGg)GG gg11

    1n nlllellcllel

    vvvvvvvvvvbvb bbvvvvbbb bb bbvv brb bb bbvbbbb bvbv bb rbbbbb vb bvrbvbbb rbr brvrbbvvbr

    mvbvvrbbry y vbb byybb bbbrvbbbr rvbbbvvvr rvvb bbyvbbbvybv bmbbvybr bvbb bbbbvvbbb bbr brvrbbvvbr

    bbvbr bb ybbvb rb rrbbbrbbr ybbbbr bbbr bb bbvrb,, rbvvvb bvbbvbvrbbvvv bb bb vybbbbb rvbr yvbmb

    bybbmvrbb bbb bbvbrb ttt bb bbvbbvrbb, bvbbvbvrbbvvv bbr vvmbvbr bvbr bvbv bbbvvrrbmbvb bbbvbb,

    bvbbvbvrbbvvv bbr bbybvbvbr bvvbbbbbbbr bb bbvrb bb bb bbbvvrrbmbvb, rbbybbb bb rvbvbm bb vbbbvvbbb bb

    rvbvbm vb bb rvbvvbbb bb rvbvbm eybvbbbb bb vbbvvbm te, etyy, vb rbv bbbmbb bvbvvvb bbr rbvvr bb

    brvrbbvvbr rbbrbbvbvbbr bbr bbvb vybvvb, bb bbb rbvbb bb bvbvvvb rvvb bb bb mvrb bv bbvvvbbbvvbbrvvb bb bbvvvbb bbb bbmbr ybvvb rvvb bb bvvyybbb bbbvbbmbvb brbbvb bb bbmbbvv bbr vvyybbrbr bb bbr

    rbvbbmbvbr rbbbvbb bbvr bbr brvvbr bb bbybbbvvbbvvvy

    tb bbvr bb vbbbb bb bb vbbvbvrbbvvv bb mbbbvbbs bb vvvrbbbvbvvv bvvbbs, vv vybbvyb bvbyvbbr

    bmbvvbbb bb vvmbvbbbmbvb bbr mbbbvbbs bbbvbr bvbb bv rbbbbvb bb vvvbbb bvvvvvmvb bvbv vvrbbbby

    lvbb vbbb, vv brrbv bb mbbbbb bv vbbbbb bb bbvbvbb rbbvbb bv bvbbvbvrbvb vvmmb byvbb byvv bb mvvvmvrbb

    bb vvb yvvbb bb vvmbvb bb bb bbbvbb bb vvvrvmmbbvvv bvvbbrvb bb bbvbbvbvvv rbv bbbb bbbbb ybrrbv

    bb tbt, bb bbrrv bb bvbbbb bvbrbbvb rbvvb vvvbbb bvbb vvbbb rbr vmbvbbbvvbr rbb bvbvvvbvvvbmbvb, mbvr

    vb brb bvrbvvrb bbb rvv bvbvvvb yybbbbbvrbb ybvbbb rbv bbbb bbb bvbvv rvvb mvbvvrbbmbvb t]t,

    bybbmvrbbmbvb t]t vb bvvvbb vyvmvrbbmbvb tbty ibvr vvbbb vbr, bbr bbbs bbbvvbbr bbvyvvrbbr rvvb

    bbvbvrbri bb bbbmvbb rvbrvb bb bbbvbbmbvb bybbmvrbb rbv bbbmbbdb vbbbvvb bbr brvrbbvvbr vvbbbbbr bbs

    rbr bbvvvbr mbvr bb bbmbbbbbbb bb vbbb vmbbvrbbd b bbbbbvbvvv bb bb bbbmvbb yvrrbbb rbbbbbvb

    bvbvrvb, tit, bb bb bbbsvmb rvbrvb bb bvbmbbvv bvbv bbybvbvb bvvbbbbbbb bb bbbvvrrbmbvb, rbv bvbvb

    ybvv rvbbbb ybvvbvrb bb vbvvrrbvvb bb rvbvvbbb bb ebbvvbm tybbbb etttt ttt bb rbv rb vbbbvbbvrb

    bbb rvv byyvvbvvb bb rb vvmbbmbvbbbvb bbvr bvbvbvvbbvvv bbr bbvbvbbr bb bb yvbmbbvvv bbr yybbbbbrtt.ty

    lvbb bb vyvvs bbr bbmbbbbbbbr bb bb vyvbb bb bbbvbbmbvb bybbmvrbb bvbbvbrb, vvdr brb bbr rbbbbr bvvvbr bvbbvvrbbbyvrbbr bb bbr bbbbr bb bbr bbbvbbs bb bbvybbvybr bbbvrr bbvr bb bvmbvvb bb

    b bvvbbbbvvv bb bbbvvrrbmbvb bb bbvvy vb vyvbb bvbbvbrb rvvvb yvrbbb t, brrbbb bb bbmbbbbbbb

    mbsvmbbb bb ]. e bvbv bvb bbbb bvbbbb bb .t ybbbbr, bvvb e ybbbbr bb bbtbbvrb, bvb vvbbrrb bb

    mvvb bv bbmbbbbbbb bb teyee e0y, e ybbbbr bb bbbvbb bb bvb vvbbrrb bb bbybvvbvrrbmbvb bb e. e0yy

    vb bbvv bmvvv, bbv bb bbybvbvb vvb b bbbbbr bvbv rbbbbb bybbr bb vvmbvb rely, el,,

    etFt bb etFe,, bbr brrbvr bbbvrr rvvbi bvbvrvb, eyt bb vbbrbmbvb bbb vvmbbbrrvvv byybvbbr rbb

    bbr bbvbvbbbbr bb yvbmb vbbvrbb bb t] t] t] vme, vvvyvbmmbvb bbs vvbmbr bv vvrbbbby

    .lllll 1n t)etG Gg GGGtGGGGGG G)GGGtmgG gGtttt

    1n Mlllllls lllllcc

    1n1n elbll

    sv b bbvbvr bv rbbbb vvvvbrr bb bb brvvv bb bbbbbz trvrbb, vb bbrbvbb bbr bbvrvbr bbbbbbvbb

    rt,]e, bb bbrvbbb re,]], vvbbbvbbr bb bbbvbvb bbb bbvbvr vvmmb vvvrbvbbbvb bbvr bb yvbmbbbbvvv bb

    bbvv, rb rbbvbbvmbbvb brb vvvbvvbb bb bbrbvbb bbvr bb yvrbbb e, rvv mvbbbb bb yvvbrrb brbdMy =

    t,eby tvv rbvvbbbvb bb rbbbb vbb bb bb bvrbvv rb brbmb vvmmb rbvbi

    y vbbi ttv = bi,beb

    yb bvrbvvi ttb=bb,eeb

    b. : tt : i. i dv bbvbvrbb rbvbsvbbbvvvvbbbbmbvb bb vvvbvbvvvdb bmbbvybb bv vvmbvb bvbbbbvby

    0

    00

    00

    00

    00

    00

    00

    00

    0 0 0 0 9

    sssss sssssssss

    pssssnpsss

    ss

    C

  • DGGG)tG Gtl G))GG Gg tGtGtGG gGGGgt tgG t'GeetGGGtgG GG GgGetttGGGGG Gg )GgG

    GGG GGGtGGGGGG G)GGGtmgG GG GGG GGegtGGG

    g

    1GG tgGgGt lGGGGGGGtgGGt GtDDgg11TT)GttG 11T1g geGg)GG gg11

    1nsn slltlllc

    sv b bbvbvrb bb ybbvbvvv e0i bb i0t] bb rbbvvbb bb bb vbbbvbb bb vvvvbrrbrb bb bbbbbbz trvrbb,

    vbr bbrbvbbvb bbr bbvrvbr bbbbbbvbbr rt,]tt t,]e, bb bbrvbbb re,]e t e,bt, vvbbbvbbr bb bbbvbvb bbb

    bbvbvr vvmmb vvvrbvbbbvb bbvr bb yvbmbbbbvvv bb bbvv, bbbb rbbvbbvmbbvb brb bvvvb bb yvrbbb e,

    bbbb vvbyyvvvbvb bb vvr yvrbbr brb bb eb,b : b. vb rbv rvrvvyvb rbvvbr rvvb bbbbr bb bbbvbvb bbb

    bbvbvrr bbvr bb yvbmbbbbvvv bb bbvv, bb brbbbbb bvbrrbv bvbrbbb Mvvbv ibvbb bvvvb bv vvbyyvvvbvbdMit= t,b b vb rbv vbbrrb bb rbbvvbb bbvr bb vbbrvbvb B

    .lllll sn tggG)Gt gGGGgtgGGGtmgGt

    1ntn tltltlll

    sv b bbvbvr bv bvrbrb bb .ye b rbbb bbbbvbb bb bvvbr bb vvmbvb, bb bbbrbvyvbvb bvvbbbbbbb bb

    bbbvvrrbmbvb rlvytbsebtbt t]., bbvbbvb bbb tvrb bvbb bbr bbvvr bbb db bmbbvv vvvyvbmb bb

    vvbmb lF tebte rbbvbbb bv vvvr ebt :t grt, bb vbbbvbbvr bbb rvv bvbvvvb bvbbrmbvbbb bbr

    brvrbbvvbr mvbvvrbbr br bbr ybbvbr rbr bb bb bvmvvbbb bvbbrvbbbvvv vbbvbbbvbb rbbvv bb yvvyb

    bbvyvvrbb yvbbvvb bbb bb bbvbbvbbbby

    1nun ullllll ll elll lellllll

    vb bbvbvbb rbbvbb bbvbvr vvmmb byvbb r., e. bb b. b, brb bb yvbmb vvbbbbrb bb bb vvbbbbb rbvrb

    vbbvbb, bbvvvbvb bbr ybbbr yvbbvbbbs bb vvmbbbsb rvbbbbrvrbb bvtb tbbybb yvvbbb, rb vvmbvrvbvvv

    vyvmvrbb bbr bbvvyb bb vvmbvb vbbvvbvbb brb bvvv bb bbbbbbb t, bb byvv bvbbbvbb bvbyybb bb rb yvvbrrb

    bb mvbbbbb rbb bbr vbbbvbbvrbvrbbr bb bbvv bbbv, vv b bbvbvr bv bbvybbb bvbbbbr bybb bbbvbbbvvbb

    bvbb vbbbvvb bbbs yvvbrrbr bb mvbbbbbi et.. bb ]ei. vm 0rby

    tvv vvbvvbdb bvbvvvb bbbbmvv bbb bb bbbbbvvvi t.,t]sybbbtvs

    bMrsbebsM

    eee

    b =

    +

    +=

    vvbvrbb rbvvb brb bbrvrbb tttty

    1ngn lll ll lcelll

    v bbb bb rvybrb bbvbvr brb vbbbb bb bvbvvbb rlF ltite.] bb tl e.]tt)

    1ntn tlblll

    vb bybb bb vvmbvb bbvbvr brb bv ely etM d ]e,] bbvbbvb bbvr bb vvmbvbbbvb bb tbbybb tvbb

    trvrbb, bbvvr bbbbbr vvmbvbr bbbvbr bbrb bb ely vvb b bbvbvrri el, bb etF retFt F etFe, bvbb

    bv byvbbbvb bbrbbvbvvbmbvb e. b bb b. b bb bbvbvbb rbbvbb bbvy mbvr bbr yvvbrrbr bvyybbvbbr bvbb

    bb vvmbvb etF rbbbbbbb e,y vbr bbvbbvbr, vyvmvrbbr, mvvbbbvrvrbbr, byyrvrbbr bb mvbvvrbbr vvb

    b yvbbvvbr bbb bb mmb vvmbvbbbvb bb rvvb bbrbvbbr bbvr bbr bbbbbbbs t, e, e bb by

  • DGGG)tG Gtl G))GG Gg tGtGtGG gGGGgt tgG t'GeetGGGtgG GG GgGetttGGGGG Gg )GgG

    GGG GGGtGGGGGG G)GGGtmgG GG GGG GGegtGGG

    b

    1GG tgGgGt lGGGGGGGtgGGt GtDDgg11TT)GttG 11T1g geGg)GG gg11

    .lbllll 1n tgGGgttGtgG e)tGtmgG

    ebs yve.e Fbe.e tv.e Mr. lbe. Ke. eb t.e ebs bvbbb

    ely ]t,]b ],b. e,ii ee,bb .,]e .,te .,be .,.be e,bb .,i.el, ]t,ee b,tb e,tt et,te .,]] .,e] .,]. .,..e e,b. t,].etF ]e,t] ],b] e,]b e],ib t,ti .,et .,]b .,..i e,e] 0vbvbvbb b.,ee b,ee b,tb et,b b,e] .,te .,b] ., ee .,.ee 0

    .lbllll sn tgGGgttGtgG GtGGGtggtmgG

    ttB rvme0r,evmbvbtbbvbvbb

    ebvvrbb

    %

    bybrbb

    bbvbvbbb

    ebyFb

    eeyb

    eetb

    eetb

    ely et.. t 0 t] ] . tt,bt i,]b b],.t et,eb

    el, et.. t et.. b] ] e. t,b] b,ie ei,be ei,bb

    etFt et.. t et.. ]] ] b. t.,i] tt,ib tb,]i ee,beetFe et.. t ]ei.

    vbvbvbb t],.t ]],.. e],.e t.,ti

    1ntn1n pleelllc eesclellc

    vbr brbbbbbrdb brrbv bb bbvrb bvvrv rbb bbr vbbbbbr bb bb mbrrb vvbbmvrbb bbrvbbb rvvb bbbvbbr

    bbvr bb bbbbbbb ey

    .lbllll tn TGGGt GG G)gG GG GG )tG GG GGttG GG GGttG tgtgGtmgG GGt etGGGGt

    bybb bb vvmbvbbbmbr bb bbvrb Mbrrb vvbbmvrbb

    bbrvbbb rrb0mb,ibbb Fvv

    ely ey .imvv by .tmvv e,te.el, ey e.mvv by b.mvv e,.]t

    etFt ey b]mvv ]y e.mvv e,.ei

    db bbbbbbtb vbbvb rbbd b bbrmbvbbbvvv bb bvrbrb bv bbvbvbb bvbbbvvb bv bvvbvvrrbmbvb bb bbmbr bb

    bbbb bb bbvrb, bb vb vb bb bvbvvvb yybbbbbvrbb ybvbbb bb bbvbvbb bbb bbbbvbb bb vbvvrbb rbbvbvvv

    b yybbbbbbvvv bbbr bbvbb,y

    1ntnsn pleelllc bclllellc

    vbr brrbvr bb vvmbbbrrvvv bb bb ybbsvvv rvvb byybvbbbr rbb bbr bbvbvbbbbr bbvrmbbvrbbr rbsbst],

    vme vvvybvbvvvvbr bvbv bb mvbbvbb vvbmbb rbbvv bb vvbmb tl tt]t t bb bbr brvrbbvvbr vbbbvbbr rvvb

    bvbbvbbbbr bb bbbbbbb by

    .lbllllKuy rtttGGGeGt GeGGtmgGt GGt etGGGGt

    bybb bb vvmbvbevmbbbrrvvv Fbbsvvv

    e y b y eidyd e y b y eidyd

    ely te,i. e.,b. bt,b. e,.] ],.b b,..el, t.,i] ei,i. bb,]. e,]t ],.t b,.betFt b,bb t],eb ee,ii e,]e ],.e ],it

    sn tebeeclllel ll blelKl llll

    vb yvbmbbbbvvv bb bbvv b b bbbbmvvb bbb bb mbyvbb bb ibbbs bvbvrrb bb b bvvv bbr brbbbbbr

    bbbbvr bbvr bb bbbbbbb ]y bbvvr bbvvr r bbrb bb ely, el, bb etFt, vvb b bbbbbr bvbb bbbvbb

    bbbbr bbvbbvbr byyrvrbbr rbvbvrvb bb eyt,, bb rbbbbb bbvvr r bbrb bb ely, el,, etFt bb etFe,

    bvbb bbbvbb bbbbr bbvbbvbr mvbvvrbbr rbrvrbbvvb bb vvmbbbrrvvv,y

    .lbllll gn tgGGgttGtgG Gg )GgG

    evvrbvbbbvbr evmbvb tbbbb rbbvvbbtbb bb rvybrb rbvbbb,

    t0e .,]. .,b.

    e0i i0t] yyybvrrbmbvb ] vm e vm

    ivrbrb rKr0m , b.. b]b,bi ebt,]e bb],b] e.. t].

    tn dclllllc lsellbllllls ll lllllelllllel

  • DGGG)tG Gtl G))GG Gg tGtGtGG gGGGgt tgG t'GeetGGGtgG GG GgGetttGGGGG Gg )GgG

    GGG GGGtGGGGGG G)GGGtmgG GG GGG GGegtGGG

    m

    1GG tgGgGt lGGGGGGGtgGGt GtDDgg11TT)GttG 11T1g geGg)GG gg11

    tn1n pelecll

    bb bvbvrvb rvbrb vbbvbbb, rbvr bbvrb bv vvmbbb bb bvbvb vvvbbr, bbbbvb bb bb yvbmbbb rbvvbvbbi

    t..rb, rbv -

    =

    G

    tGG

    V

    GGr

    GtGGi mbrrb bb bvbbvbvbbbb rbbbb bvbbb

    GtGel mbrrb bb bvbbvbvbbbb rbv

    VGi vvbbmb bbbbbbvb bb bvbbvbvbbbb

    .lllll tn rgGgttG GGt Gt))GGGGt )GgG

    vbr bbbs bbvvr bbv bb bbybvbvb bvbvb bbr bbbs bb bvbvrvb bbvr bbb bbbbvbb bb bbvv vvbmbby

    evvvbbvbb bb bbvv bbvd,bvbvvbbbbvvv bb bbbvvrrbmbvb bbb bbrmbvbbbvvv bb bb bbmbbbbbbb bbvvbbr

    bb vyvbb bvbbvbrb bbvvvrbb bbbr bvvbbvbbbvvv bvbbb, vb rbv brb vybrbb bvbb bb bvvvb yybbbbbbvvv bb

    vvmbvb rbbbvbb bvbb bb ely, bbtbbb, bv bbvbvrbvb bb bbvbvbb rel, bb etFt,, vbbbb bvyybbvvb bvmvvbb bv

    bbrmbvbbvb bb rbbvbvb bb bbvbvbb mvrb bv bbbvb, vbb bbr vvmbvbr bb bbvbvbb rbbbvbbbvb bvbvdb bbvbrb

    rbv vvvrbvbbb bvb bvbbbb bvbvvbbvvv, vb rbv bbbmbbdb bvvvb bvb rbbbvbbbb bbbr bbvrb bb bbb rbvbb bbr

    brvrbbvvbr vvbbbrrbvbbry

    i bbb bb Fvrbbb e vv bbbb bbrrv vvvrbbbbb rbb bb bbvv bb vvvrvrbbvb bbbrbvrbb rt0e =.,],brb bbbr

    bvbbbs rbb bb bbvv bb vvvrvrbbvvb ybbmb rt0e =.,b,, vbbbb vvvrbbbbbvvv bbvvbvb bbvvvbbbbmbvb

    bvbsvr bvbbb rbv bbvvvrbb bbbr bvvbbvbbbvvv bb bbb rbvbb bb mbbbvbbvvbbvvv bbr bvbbr bb bbr vvbbr rbvbrb bybvvbbbbb bvbb bb rbbbvb bb bbvv, rbbbvbb bb vybbb bbr brvrbbvvbr bb bb bb bbbbbvbvb bb

    mbbbvbby

    tnsn tlelcllKl lbcelellelKl lll )ttl)

    bb eyt rvbrb vbbvbbb bbbbvb bb bb yvbmbbb rbvvbvbbi t..rb,rbv

    rbv

    -

    =

    G

    GGtgr tGG

    .lllll un tGGGetGTG G)tgGGGtgGTG GGg GG Gt))GGGG )GgG GGgtG

  • DGGG)tG Gtl G))GG Gg tGtGtGG gGGGgt tgG t'GeetGGGtgG GG GgGetttGGGGG Gg )GgG

    GGG GGGtGGGGGG G)GGGtmgG GG GGG GGegtGGG

    g

    1GG tgGgGt lGGGGGGGtgGGt GtDDgg11TT)GttG 11T1g geGg)GG gg11

    vb Fvrbbb b mvvbbb rbb bb vbbbbb bb eyt bbr bbvvr bbrb bb ely brb bbbr bbv bbb bbbbvbb

    bbs bbbbbr v bbbb bvmvvbb bv bbrmbvbbvb bb bbvbbb bv bbvbvbb, bvvv vv bbbb bvbb rbb bbbr bb bbvbvbb rbv

    brb bvbv bbr bbbvbvvvr mvvbbbbr rbv bbbvrrbvb bb bbvbbb bv vybbs, vvvbbvbbb bvbmbvvbbbvvv bb bb

    vvmbbvvb bb bbvv rbbbvmbbvrbbmbvb mvvvr bb bvbvrvb bb bbrvbbbvvv bvbbb bvmvbb, vb rbv yvbbvyvb rb

    brvrbbvvb bb bbbvb bbr bvrrbbr bb rbvrvbvbvb bvbbbbrbb bbr brbvbr brbbrrvyry

    vvbbvbvrbbvvv bvbbybvbvb brb ybvvbbbbb bb bvbvbbrbbrb, vbb bbbb bvmvbb bvbbrvbbbvvv bvbbb vbbrb bb

    bvvvb bbvbbbmbvb bb bvyybbbbbbvvv bvvbb bb vvmbvb vb rb rbvvyvvvb bb bvmvvbbb bvbbrvbbbvvv

    vbbvbbbvbb rbv bbbvb vvvrvbbbbbbmbvb bb bbvbbvbvvv bbr bvbbr bb bbr vvbbry

    tntn dclclllclc ll cebellcclel

    vvbrrbv bvvbbrbmbvb bbb vvmbbbrrvvv rvbrb byybvbb bbs vybvvbr e, b bb ei yvbbr bbbr vbbb bbr

    bbvbvbbbbr bbvr bvbbb ybrrbvbb yvbb bb bvbrrbv, bbr vbbbbbr vbbbvbbr rvvb brbmbr bbvr bb bbbbbbb ]y

    .lbllllKty rtttGGGeG tG egGGGGtttgG Gg )GgG

    yrbryvbbr,

    t0e = .,]. t0e = .,b.

    bmvvv bbv bbybvbvb bmvvv bbv

    elye t],ee e.,.. tb,ee ti,ee et,]]b eb,tt eb,.. ee,ii e.,bb et,]]ei e],]] eb,]] et,ee b],bb be,ii

    el,e t],tt ti,]] t],ii tt,tt tt,]]b e.,bb ee,]] e],]] eb,ii e],]]ei e],.. ee,]] e],tt et,]] ee,ee

    etFte i,.. t.,]] t,.. t.,]] tt,ttb te,ee t],]] t],ee t],bb t],]]ei eb,bb e],ee et,]] et,]] e.,]]

    etFee te,tt t],]] 0 0 0b ee,]] ee,ee 0 0 0ei eb,bb e],bb 0 0 0

    tntn1n lllll ll lleeell lCt

    vbr brvrbbvvbr bb vvmbbbrrvvvdb bv bbvv bb vvvrvrbbvvb bbbrbvrbb rt0e = .,], rvvb vbbbbmbvb

    vvybvbbbbr bv bbvv bb vvvrvrbbvvb ybbmb rt0e = .,b, vvbbmmbvb bvvr bbbmb, vb rbv bbvbvb rbbbbbrd b bbb bb rvybrb bbd b bvb bbvr bv bbvv rbv rbbvbb bv bbbvbbmbvb bybbmvrbb bbvr bb bbb

    b bvvbbbb bbr vbbbvvbr bbdb bvrbvrvbvvv bb brvrbbvvbr mvbvvrbbr bbbr bb brvrbbvvb brb bbr vybrbb,

    vbbbd r bsbbvrbb bbb bb ybvb rbb bb bbbbvb rbzbbrb bb bvrbvbb bbvr bv bbvv, rvbrd b vvybbbvvb bb

    bbmbbbbbbbr bbvbr, rb bvbbbb bbr bvzbvvbr bb yvvr bbbr rbb bb bbbbvb mbyvbvbbvbb rbv brb bb rvbvbb,

    v bybvb bbr bvrbvr bbr brvrbbvvbr mvbvvrbbr vbbbbbbr bb ybvbb ybvb vbr vvvbbbvvbbr vvbbbvbr bb

    bvbbbbbvvv, bb bbvv rb yvrrbbb bb bvmvvbb bvvrv bb rbr brvrbbvvbr mvbvvrbbry

    ivbbbr tte,tet bbtbbb bb .,b., bvb bvmvvbbvvv bb bb rbbvbvbd b bbb vvv vbbvbb brb vbrbbvb,bsbbvrbbvb vb brbbbbb bbb bb ybvb rbb bbr rbbrdb yybbbbbr bb vvmbvb rb yvbmbvb bvvrbbmbvbdr vb bsvrbb

    bv brbbvb rbyyvrbvb bbvr bb bbb rbv bbbmbb bbbb yvbmbbvvv bbvr bbr bvbbry ebb brbbvb brb brrbb bbb bbrbvbbr vbbvbbbvbbr yvbmr bbb bbr bbbbvvbbbrdb bbb rbv bvvvbvb bbb bv rbbvbvbr rbyyvrbvbbry

    vb bbvv bbv bb etFt bbyvvvb bb bbvv bmvvv ei y, vb rbv vvbr mvb bvbb rbb mvvvr bvbbb bb

    bbbr bb bbvbvbb brb bvyvrbb bvbb bvvvb bv mbbbvbb bb bvvvb rbbbvb rv vv bvvbbb rb bbbvvrrbmbvb

    bbb vybbyybrb, rvvvv, rv bb vbr bvbv bbybvbvb bvvbbbbbbb bb bbbvvrrbmbvb, mvvvr bb bbvbvbb rvbr bb

    el,, bbbbbbvb bbbr byyvvbvb bvbb bvvvb bv bbvv bb bvv rbbbvby

    .lllll gn r))GG Gg GGGGgGG rrt tgG tG GtttGGGeG tG egGGGGtttgG GGt )GgGt

  • DGGG)tG Gtl G))GG Gg tGtGtGG gGGGgt tgG t'GeetGGGtgG GG GgGetttGGGGG Gg )GgG

    GGG GGGtGGGGGG G)GGGtmgG GG GGG GGegtGGG

    0

    1GG tgGgGt lGGGGGGGtgGGt GtDDgg11TT)GttG 11T1g geGg)GG gg11

    tntntn lllll ll lllllll

    vbr brbbbbbr bvvbbrbmbvb bbr bbvvr bb vvmbbbrrvvv bbbmbbbbvb bvbbbbvbvvvb rbb bb vvmbvb

    etFe bvvvb bbr brvrbbvvbr mvbvvrbbr rbbbvbbbbr vbbbbr bb bbvv bb etFt bvbr bbr rbr bb

    bbbrrbvb bb ely bb el, ei yvbbr, vbbdb bbrmbvbbbvvv bb bb rbbybvb rbvvyvrbb bb et.. vme0r ]ei.

    vme0r bmbvvbb vbbbbmbvb bbr brvrbbvvbr mvbvvrbbr bvbb bb bbvv vvvbbvbvb ybrrb b. b bb bbvbvbby

    eb brbbbbb vvvyvbmb bb bbb byyrvrbb bb bbvbvbb yvvbmbvb bbvy rbv bbbmbb bb bbmbbvb bbr vvbbr bvbbb

    rbbvvr bb vvmbvb rbbd b vbbbb bb mvvbvv,, bbmbbvrrbrb rbv bbvb bb bbvv bbbr vvmbbvb bb bbb

    vvvrrbbvb bbbr brvrbbvb bb bbbbbbby

    bbr brvrbbvvbr e yvbbr bb bbvv bb el, rvvb vvmbbbbbbbr vbbbbr bb ely, bvv bvbvbvbbrb

    ybbvb brb bb bvbvvbbbbvvv bb bbbvvrrbmbvb rvvb bbb bbbvbbmbvb bybbmvrbb rvvb bbb bbybbvbvb, mbvr

    bbbbr rvvb mbbvbvrbr bvbb bb etFt vbbrb bb rb yvvbrrb bvmvby

    vvbbrmbvbbbvvv bb bb bbvbbb bb bbvbvbb rbbvbb bvbbtvb ryrbmbbvrbbmbvb bvb bbbvbvvv bbr

    mvvbbbsd eet bbd eet, rbv rvvb bbbs bbvvvvbbbs mvvbbbs bbrbvvrbbbb bb bvbbvbbbmbvb bbr

    brvrbbvbr vvbbb bb mvybvb bbbmb, mbvr vv bbmbbrbb bb bbvbbvvb bb bvmvvbbvvv bvvr bbbmb vbb bb

    bbbvybmbvb bbvrbbrrvy bbr bbvbbvr bbb bb bbvbvbb bv mmb bbmbr rbb bb yvbmbbvvv bvyybbvsybb bb vbbvvbm bbb

    bb vvmbvb bvbbbbvb bbvbbvrrbvb bvb bbvbvvv vvvbvvbb bb bbvbvbb rbb bvb bvvrbb bbvvbby

    vb ybvbbbrrb bb brvrbbvvbr bbs ybbvbr rbr bbbb bbb vvmbbvrb bbb bb mvbbbbb bbr yvvb bb bbvbvbby

    .lllll tn r))GG Gg tGtGtGG tgG tG GtttGGGeG tG egGGGGtttgG Gg )GgG

    tntnun lllll ll elecl lclcclllllel ll lllclcclblll

    e lllll ll llllllblll lellblell

  • DGGG)tG Gtl G))GG Gg tGtGtGG gGGGgt tgG t'GeetGGGtgG GG GgGetttGGGGG Gg )GgG

    GGG GGGtGGGGGG G)GGGtmgG GG GGG GGegtGGG

    1

    1GG tgGgGt lGGGGGGGtgGGt GtDDgg11TT)GttG 11T1g geGg)GG gg11

    vbr brvrbbvvbr vbbbvbbr ey, mvvbbbvb rbb bbr bbvv bbvr bb ely, el,, etFt bb etFe vvb bb

    bvvvb bvbb t0e=.,] bbr r]], ]e, et bb btb, bb bvbb t0e=.,b bbr ret, ]. bb e] b, bbrbbvbvvbmbvb bbb

    bbbbvbb bbs vbbbbbr vbbbvbbvrbvrbbr bb bbvv bmvvv eiy, bv bbbb ybvbbb bvbb bb etF vbb bb bbvbvbb

    bv byybb ybmbbs rbv vb bbbb rvbbbbmbvb bbbbbbtbbb rbv bvvr bbbmb, bb bvbb bb b y bbbbr rvrbbvrbvb bb

    rb vvvvbbrbvb, bbtbbb r bvvr bbbmb,, bb bbvv bmvvv mvvbbb rb vbbbbb bb rvv byyvvbvvb bb bbrbvbb

    bbr mbvbbbbbr brvrbbvvbrl bb b bvbyybb vrbbvy bb bbbvbbmbvb rb mbvvybrbb, vbbbb vvvrbbbbbvvv brb vbbbbbb

    bvbb bbr e bybb bb vvmbvbr, bvbv bvb bbbbvvbbbbvb bvbb bb bbvv bb etF, v bbr brvrbbvvbr rvvb bbr

    bbvvybr bb mbvbbbbbb bvbb bb etFe rbv vvvbvbvb bv bbvbvbb bbvy mvvbvvvr rttB bbv,, vb rbv bbvbvb

    rbb bb bbvbvbb bv byybb bvrvbvy bvbb bb vbr bb bbvv bbbvb bybbmvrbbmbvb rvbr vbbbbbr bbr brvrbbvvbr ei y bbr bbvvr bbvr ely, el,, etFt bb etFe bbrbvbbvb bbb bbbbvbb bbs vbbbbbr bb bbvv bmvvv

    bb ely bbrbbvbvvbmbvb bbr vybbbr bb r], tt, et bb tb, bvbb t0e=.,] bb bbr vybbbr bb ri, et, e]b,bvbb t0e=.,by

    ybbbvb, vv bbbb rvrvbbbb bbrrv rbb bvbbrmbvbbbvvv bb bb brvrbbvvb brb bbr bbbvbb bbvr bbr bbbmvbbr

    yvbbr rvvbbb bbbmb, vb rbv brb bvbvbvbbrb bb bb bbb bbvmvbbvbbb bb bvbvvbbbbvvv bb bbbvvrrbmbvb bbb

    vybbyybrb brb bb bvbvvvb rvvb bb bb mvrb rvbr bbvrvvv bbr bmbvbr bbvvvbbbvvbr, rvvb bbvvvbb bbb

    bbmbr ybvvb rvvb bb bvvyybbb bb bbbr bb bvrrvbbby

    e lllll ll ellclllllll lccllllllll ll lllclcclblll

    vbr brvrbbvvbr vbbbvbbr e y, mvvbbbvb rbb bb bbvv bbybvbvb bb ely, el, bb etFt b bb

    bbbbvvbbb bvbb t0e=.,] bbr rbb, bi bb ee b, bbrbbvbvvbmbvb bbb bbbbvbb bbs vbbbbbr vbbbvbbvrbvrbbr bb

    bbvv bmvvv ei y, vbbbvbbvb db rb bb b bb eiy bb bbvv bbrb bb ely brb bb mbvbbbbb rbb vbb

    bbrb bb el, bb etFt rbv bbrbvbbvb bbr vybbbr bb re bb ttb,y

    tv yvv, ibvr bb vbrdb bvvbbbbbvvv bb bbbvvrrbmbvb bbb bbybvbvb, vv bbbb vvvrbbbbb rbb bvbrb bbey bb bbvv bbv bb ely bvmvvb, mbvr vvvvb bbb bb bbvv bbybvbvb bbtbbb, bvvv vb brb vvbbvb rbb

    bvbbvbvrbbvvv bbd b bbybvbvb brb mbvbbbbbb rbb bvbbvbbbb bb bbvvbbbb bvbbvbrb bvbb bvvvb bv bbvv

    brvrbbvb v vv bbbb bvvyybbb bbbvbbmbvb rmmb vyvrb bvbb bb el, bb etFt,, vvvrbbbbbvvv bb

    brrbvbvbbbbmbvb db bbb bb bb mvvbvrbbbvbbbb bb bbvv, vbb bbvr bb vbr bb bbvv bbv, bb vybbyybrb

    rbbrmbvbbbvvv bbdbbb, bvbbbtvb db vbbvbbbvvv bbdb bbb bvbbb bv bbvvvrbbvb bvb bbrmbvbbbvvv bb bb

    bvbvrvb bb btbbbbbvbvvv bbr mvvbvyvrrbbbr rbv rvvb bbrbvvrbbbb bb bb vybbb bb bb rbbbvb bb bbvv

    rbrvrbbvvb bb bbbbbvbvb,, v vbdv brb bbr bb vbr bvbb bb bbvv bbybvbvb, vdb yybbbbbbvvv rvbrb bbvbb

    bbbrrbb bbvr bbr vvvbvbvvvr vvbmbbbry

    .lllll .n r))GG Gg GGgeG G'GeetGGGtgG GG GgGetttGGGGG tgG GtttGGGeG tG egGGGGtttgG Gg )GgG

  • DGGG)tG Gtl G))GG Gg tGtGtGG gGGGgt tgG t'GeetGGGtgG GG GgGetttGGGGG Gg )GgG

    GGG GGGtGGGGGG G)GGGtmgG GG GGG GGegtGGG

    m

    1GG tgGgGt lGGGGGGGtgGGt GtDDgg11TT)GttG 11T1g geGg)GG gg11

    un telcllclel

    vb bvbvrvb bb bb eyt bbr bbvvr bbbvbr rvvb vmbvbbbvbbr bb ybb bb mbrbbb rbb bb bbbs bbr

    bvbbr bb bbr vvbbr bsvrbbvbr brb vvvrvbbbbbb, bb vbr bbbvvbbr bbbvbvb bbb mvvvmvrr bbb bvb rbbvbvb

    bvmvbbd b bbb bb rvybrb, bbb bvbbbvbvvv bbr byvbbr mvvbbbs bbr yvvr bb bbb bb vbbb bbvr bbr

    vvvbvbvvvr bb bbmbbbbbbb bb bvybmvbvb vvbmbbvrbr rbv brrbbbvb bb vvmbvb bvb mbvbbbbbb yybbbbbbvvv

    bb bbbvvrrbmbvby

    bv bbvv vybbyy ]. e bbb bbvbrb bvbv t ybbbbr bb bbbvbbmbvb bybbmvrbb brb bbr byyvvbvb

    rbbbvbb bb ybbvb rb bb bvvvb bbr brbbbbbr yvbbvyvbvbr bvvr bbbmb bb vvvmbbvrbb rbv bb vybbb bb t e] b bbr brvrbbvvbr mvbvvrbbr bbb bbbbvbb bv bbvv bmvvv bb ely vvv bbbvb, vbr bbbs vbbbbbr

    rvvb bbr vvvrrbbvvbr bb bvvvvvbbvbbbvvv bb b.b bb bbvbvbb mbvr bbr yvvbrrbr bb et.. bb ]ei. vme0r

    bbrbbvbvvbmbvb bvv bb bbrvvv bb bvvvbbb vmbvbbbvb bb bb rbbvbbbb bb yvvbrrb bb mvbbbbb bb bbvbvbb

    bvbb rbvvb bbbvb rb bbbvb bb bbvyvbvb rvv bmbbvv bb rvv bbb bbvyvvbvrvrbb bb vvvvmvrbby ybbbvb,

    bvbvbvvbbvvv bbb bbbvbbmbvb bybbmvrbb b bb bmvbvbb bb bbvbvvv bvyybbbbbbvvv bb bbbmbb bvbvvvb bbr

    brbbbbbr rbv bbbvbvb yvvvbbb bb mmb bbbrrbb bbr vbbbbbr bbr bbvvr vvv bbbvbr rvbr bb etFe,y

    vvbmbbvv bvbv bbybvbvb bvvbbbbbbb bb bbbvvrrbmbvb mvvbbb rbvvb brb bbbr rvmbbb, byyvvbvb bb

    rvbbbb bbb bbbbvbb bb bbvvb bb bbbvbbmbvb bybbmvrbb bbb bbvbrb bb bbbmbb bvbvrbbvb bv bbvv bbbvvvb rbbbvb rbrvrbbvvb bb bbbbbvbvb,y

    dllllclc

    ttt ty etyBd, By Mtlbtdett bvb ty bbtbbyvyy tbbbb bbdb vvybbbvvb bbr bbbvbvvvr mvvbbbbr bvbvvbrrbb bb vvmbvbbbmbvb mvbvvrbb bbr vvmbvbr bb mvbbvbbry evbbbvbb bb tbvvvb bvvvbbrvb bb Bvrrbbd l .]re..b, bb .et.iy

    tet ty yrvvbv, My eybvrytlvbbvbv, by ibvbb bvb ly eyvry, tyybvb vy rvmb bbmvsbbbbr vv byb rbbbvvr bvmbbvb rbbbvrby bvvbbbvvv vy vbmbvb bbrbbr bb bbbby brbry evvrbbbvbvvv bvb Bbvbbvvr Mbbbbvbbr, )vby ee re..i,bb t.]ttt.y

    tet )bvbvmbbby bvbbbry tbbbb bb bb bbvbvvvb bbr vvmbvbr bvvybr bv bbvbvbb, bbrrb bbmbbbbbbb bb bbmbrvvbbb, rbvr byvbb vybvbbby byrb bb bvvbvbbb lyi, bvvvbbrvb bvbbb bb Bbbsbbbbr re..],y

    tbt tyMy bbbvrgbbbbb bvb vbbgvr, vvi lbvbbvvvr rbbr vbmbvbr by rbbbbbbb rbvvbvvr bvb rbbrbrbbvb mvsvvrbbdbyb Kbbbrbbbb gvbrr, lrr dvbbbvbbvvvbb ]b rt, re..t, bi.tF

    t]t Fy ty,tid, Mbvybvvvbb bvbvvbbvvv vy vbmbvb rbbr mvbbbbr, evvrbbbvbvvv bvb Bbvbbvvr Mbbbbvbbr )vby e]

    re.te, bb bttbiy

    t]t By BtlyMMyb, By Mtlbtdett, tbbvbrb bbr bbvvr bbb vbbrvb bbvvbvbbbbbb bvbb bb bbybbbvvbbvvv,vvbbvrbb vbbvvvbbi bbbyvbvrvb bbr vvvrbbbvbvvvr bb bvbrvvrbvv bb bbbbbbvvv, bvvvbbrvb bb evvrbbvbvvbre..i,

    tbt My Mvvybb, yvvbbbbvvv bb vvmbvb bbdbbvbvbb bbb bb vvmbvb rbbyvtbbbmvvbbs, byrb bb bvvbvbbb bbdbvdltyre..t,y

    tit yy lbbbb, ly Mvbvbvrb, yy Kybbvbyy dvybbbvvb bb bb bbmbbbbbbb bb bb bbbbvbb tbb0evmbvb rbb bb bbbbbvbbmbvy bbr bbbr bb vvmbvb bb ybbvb rby e]b bbvvvvbbbr bbdb ybbe Bvbbbbbs re..b,y

    ttt ,y Bbbvv bvb ,y sbbvvvbbi bbvvr bbrbr bb bvvvbr bvbb Fvbmbbbbvvv, bvbvvv tybvbbbr rtttb,y

    tt.t by )y bvmbbbyi tbbby vy byb bbbvbvvvby vy vbmbvbr bvvy vv rbbr, byrb bb bvvbvbbb, bvvvbbrvb vvbbb,Bbbsbbbbr re..],y

    tttt by ibbbs bvb ,y Fbrbby lvbvbbb rbvbb bb bbvv bb rbr vvvrbvbbbvbr tbvbvvv tybvbbbr rttti,y

    ttet ,ytyvbmbby , byty bvbvb, byKyMvvb bvb tyFysy bbybvby ibrbbbr vy bbbvbvvv vy byb rbbr vv rvmb bbbvbrgvby lvbbbbvb vbmbvbr, ebmbvb bvb evvvbbbb bbrbbbvy, )vby e]dl t rttt], bb tettt]ty

    ttet ,yty trvbbbvbb, vyty bvmbz, KyKy ,vybb, by Mbvbvzb, ty Mbvvyb bb ,y Mbvbbz, bbbvbvvvby vy bbbrbybbvbvb rbbr vv lvbbbbvb vbmbvb bbbvbr yybbbbbb bvbbb bvyybbbvb vvvbvbvvvr, ebmbvb bvb evvvbbbb bbrbbbvy,

    )vby et re..t, bbytb.ettb.ty