chapitre2 smias2 analyse
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[ , ] = ( = < < ... < < =
= { = , , ..., = }
[ , ] [ , ]
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() =
([ + ])
[ , ]
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,
[ , ] =
[ , ]
= ( ) = , ,..,
+ = .
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[ , ] R
= ( ) [ , ], , ..., R
= , ,.., ] , + [ ( ) =
([ , ])[ , ]
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[ , ][ , ]
[ , ] [ , ][ , ]
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, ([ , ]) + , , | |, ([ , ]) R
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: [ , ] R
={
, ...,}
{ , ..., } ] , + [ ( ) = ( ) =
=
( + )
( ) =
( )
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[ , ]
([ , ]) ( ) = ( )( )
([ , ]) [ , ] ( )
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, ([ , ]), R
( + ) = ( ) + ( ).
( ) ( )
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([ , ])
([ , ]) > [ , ] : ( )
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( ) = ([ , ]),
()
+( ) =
([ , ]),
().
( ) +( )
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+( ) = { ()/ ([ , ]), }
( ) = { ()/ ([ , ]), }.
( ) = ( ) +( ) ( ) = ( ) ( ).
() +( ), () ( )
( ) () () ( ).
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+( ) ( )+( ) ( )
, ([ , )] () ().
() ( ) ( ) ()( ) +( )
( ) +( )
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([ , )]( ) = +( )
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([ , )]
>
(( ) ( )) < .
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([ , )]
( ) N ( ) N
N, +
( ( ) ( )) = .
( ) = +
( ) = +
( ) .
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[ , ]
[ , ]
[ , ]
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([ , )] > = { , ,..., }
[ , ]() () <
( ) = ( ) = = , ..., ] , + [.
= ] , + [ ( ) = ] , + [ ( ).
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([ , )] = { , , ..., } [ , ]= , , ...,
[ , + ]
( ) =
=
( + ) ( ).
= + (
), { , , ..., },
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=
+( ) = =
( )
( ) =
=
(+
) =
=
( ).
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++( ) =
( ) =
( ) .
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= + ( ) { , , ..., }
+(
)=
( ) =
( ) .
+( )=
( ) =
( ) .
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+ ==
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, R +
( + )( ) = ( ) + ( ) .
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( ) ( ) ( )
( ) = ( )
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( ) =
( ) ( )( ) ( )
( ) =
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| |
|
( ) |
| ( )|
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| || ( )| , [ , ]
| ( ) | ( ) | ( )| ( ).
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[ , ]
( ) =
( ) +
( ) .
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[ , ]
( ) ( ) = ( )
( ) .
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[ , ]
( ) = ( )( ).
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[ , ]
( ) ( ) = ( )
( ) .
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| ( ) ( )
| ( ( ) ) ( ( ) ) .
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( + )
( ( ( ) + ( )) ) ( ( ) ) + ( ( ) ) .
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: [ , ] R
[ , ] ( ) = ( )
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R [ , ], ( ) = ( ) + .
{ + , R}
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[ , ][ , ] ( ) =
( )
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[ , ]( ) =
( )
( ) = ( )
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( ) =
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( ) = ( ) ( ).
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( ) = ( ) ( ).
( ) =
=
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( ) [ , ]
( ) [ , ] ( ) = ( )( ) ( )
( ) = ( ) ( ( )) ( ) ( ( )).
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( ) ( ) = [ ( ) ( )]
( ) ( ) .
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+
( ) = ( ) + ( ) ( )
+
(
)
!
( )
( ) + ... +
(
)
!
( )
( ) + (
)
!
( + )
( ) .
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= [ ]
+=
[ ] [ ( + )]
( ) =
( + )= =
+ = [
( + )
+ (
) ( )].
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[, ]([, ]) = [ , ]
()()
( ) =
(( ))( ) .
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[, ] [ , ]
[, ] = ( ) = ( )
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( ) =
( ) = ( )
R R
+
( ) =
( ) .
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,
= = = =
( ) = [ ( ) + ( ) + ]
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( )
( )
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+ +
= =
= + + = ( + )
= +
+ +
= = ++ .
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< + + = [( + ) + ]= + =
+ + = ( + )
+ + =
+ = (
+
) + .
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> + + = ( )( )+ +
+ +
= [
+
]
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( ) R N
+( + + )
, R N
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=
( ) ( ) ( ) = ( )=
= ( )
=+
, =+
, =
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=
= , =+
, = + .
=
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+ ++ + = [( + ) + ] =
= ( + )
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+
= ( ||) + , =
+= (
||) + ,
=
= { ( ) + > ||
|+
|+