• Aucun résultat trouvé

(67,7 $QQpH MHXGL GpFHPEUH

N/A
N/A
Protected

Academic year: 2022

Partager "(67,7 $QQpH MHXGL GpFHPEUH"

Copied!
5
0
0

Texte intégral

(1)

(67,7 $QQpH MHXGL GpFHPEUH

$,

'HYRLU 6XUYHLOOp

5(*8/$7,21 $1$/2*,48(

'XUpH K PLQ VDQV GRFXPHQW FDOFXODWULFH QRQ SURJUDPPDEOH DXWRULVpH

([HUFLFH SRLQWV

6RLW OH VFKpPD EORF VXLYDQW G HQWUpH ( HW GH VRUWLH 6

R•

S S S

' = +

S S S

) +

= +

S S S

* = +

2Q FRQVLGqUH XQ V\VWqPH + S UHSUpVHQWp SDU FH VFKpPD EORF 'RQQHU OD IRQFWLRQ GH WUDQVIHUW 6 S ( S

'RQQHU OH JDLQ VWDWLTXH HW O RUGUH GX V\VWqPH

(Q GpFRPSRVDQW OH IRQFWLRQ GH WUDQVIHUW HQ pOpPHQWV VLPSOHV GRQQHU O H[SUHVVLRQ GH OD UpSRQVH LQGLFLHOOH GX V\VWqPH

2Q HIIHFWXH O DVVHUYLVVHPHQW j UHWRXU XQLWDLUH VXLYDQW R• & S HVW XQ FRUUHFWHXU SURSRUWLRQQHO .

'RQQHU OHV FRQGLWLRQV VXU OH SDUDPqWUH . SHUPHWWDQW DX V\VWqPH GH UHVWHU VWDEOH 4XHOOH VHUD DORUV OD SUpFLVLRQ PD[LPDOH GX V\VWqPH SRXU XQH HQWUpH HQ pFKHORQ "

([HUFLFH SRLQWV

6RLW OD IRQFWLRQ GH WUDQVIHUW VXLYDQWH

S S

S S

+ = + + +

4XHO W\SH GH FRUUHFWHXU IDXW LO PHWWUH HQ SODFH DILQ TXH O DVVHUYLVVHPHQW j UHWRXU XQLWDLUH GH FH V\VWqPH SXLVVH rWUH FRPSDUp j XQH IRQFWLRQ GH WUDQVIHUW GX QGRUGUH

4XHOV VRQW DORUV OHV SDUDPqWUHV j GpWHUPLQHU HW OD PpWKRGH PLVH HQ SODFH

' S * S ) S 6 S

( S

& S + S

( S 6 S

6\VWqPH ε S

(2)

$SSOLFDWLRQV QXPpULTXH 2Q GpVLUH REWHQLU XQ FRHIILFLHQW G DPRUWLVVHPHQW GH 'RQQHU OH JDLQ GX FRUUHFWHXU PLV HQ SODFH

'RQQHU OHV YDOHXUV GX JDLQ VWDWLTXH GH OD SXOVDWLRQ QDWXUHOOH GH O DPSOLWXGH GX HU GpSDVVHPHQW GX WHPSV GH UpSRQVH j GX V\VWqPH ERXFOp

([HUFLFH SRLQWV

6RLW XQ V\VWqPH GpFULW SDU OD IRQFWLRQ GH WUDQVIHUW VXLYDQWH

S S

S S

+ = + + +

2Q IDLW O DVVHUYLVVHPHQW GH FH V\VWqPH SDU XQH ERXFOH j UHWRXU XQLWDLUH HW HQ LQWpJUDQW XQ FRUUHFWHXU

& S GDQV OD FKDvQH GLUHFWH

HU3DUWLH

/H FRUUHFWHXU PLV HQ SODFH HVW XQ FRUUHFWHXU 3URSRUWLRQQHO 'pULYp GX W\SH . +τ S 2Q GpVLUH REWHQLU XQH HUUHXU VWDWLTXH GH HW XQ DVVHUYLVVHPHQW FRPSDUDEOH j XQ QGRUGUH

GpWHUPLQHU .

FRPPHQW GpWHUPLQHU OH SDUDPqWUHτ HW GRQQHU VD YDOHXU GRQQHU OH JDLQ VWDWLTXH GX V\VWqPH

GRQQHU OH FRHIILFLHQW G DPRUWLVVHPHQW GX V\VWqPH GpWHUPLQHU O DPSOLWXGH GX HUGpSDVVHPHQW

GpWHUPLQHU OH WHPSV GH UpSRQVH j

QG3DUWLH

/H FRUUHFWHXU PLV HQ SODFH HVW XQ FRUUHFWHXU GX W\SH

S

S S

. +τ +τ

'pWHUPLQHU OHV SDUDPqWUHVτ HWτ SHUPHWWDQW GH VXSSULPHU OHV S{OHV GRPLQDQWV 'pWHUPLQHU O HUUHXU VWDWLTXH

'pWHUPLQHU . DILQ G REWHQLU XQH PDUJH GH SKDVH GH ]

BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB

$QQH[HV

3DJH WDEOHV GHV WUDQVIRUPpHV GH /DSODFH XVXHOOHV

3DJH 6\VWqPH GX QGRUGUH $EDTXHV GX WHPSV GH UpSRQVH HW UpSRQVH LQGLFLHOOHV 3DJH 6\VWqPH GX QGRUGUH $EDTXHV GX JDLQ SKDVH HW DPSOLWXGH GX HUGpSDVVHPHQW

(3)

7DEOH GHV WUDQVIRUPpHV GH /DSODFH XVXHOOHV

I W ) S I W ) S

W 8

D S

D

W S

(

)

Q WQ

SQ

( )

W

δ

( )

[

] W

]

] W H

I

W ]

VLQ −

=ω − ω ω



 + +

=

ω ω

S ] S

S )

W

HD

D S+

τ W

H

S

(

+τ S

)

( )

Q

W

Q H

Q W

τ

τ

(

+τ S

)

Q

τ

τ H W

W



 

 +

S

(

+τ S

)

τ τ

τ H W

W− + S

(

+τ S

)

τ

τ H W

D



 

 −

+ S

(

+DτSS

)

+

( )

[

ω ϕ

]

ω − −

− −

= ] W

] W H

I

W ]

VLQ

DYHF 



= −

] DUFWDQ ] ϕ







 + +

=

ω ω

S ] S

S S )

DYHF] VLQ ωW

+ S ω

ω HDWVLQωW ω +

(

ωS+D

)

FRVωW

S S

ω + HDWFRVωW ω +S

(

+SD+D

)

[

H W D H W E

]

E D

(

+D S

)(

+ES

)

[

DH W D EH W E

]

D E

+ − S

(

+D S

)(

+E S

)

FRVωW

− 

 + ω S S

τ

τ

τ W

H

D W



 

 − −

+ S

(

++DτSS

)

τ H W τ

D

W+ − − S

(

++DτSS

)

VLQ W HDW ω

D S+ ω +

ω FRV W

HDW ω

D S

D S

+ +

+ ω

(4)

6\VWqPHV GX

QG

RUGUH

(5)

6\VWqPHV GX

QG

RUGUH VXLWH

Références

Documents relatifs

For more information on the Datapoint view itself, click in the view, then press Ft to display a Help screen or choose Help from the view's local menu.. For information on a

If the bus number is to a hierarchical PCI bus below the PB's PCI bus (BUSNUM is between the values programmed into the PCI Bus Number Register and the Subordinate PCI

(1 Punkt) Erklären Sie in Ihren eigenen Worten den Unterschied (i) zwischen Variablen und In- dividuenkonstanten und (ii) zwischen Eigennamen, indexikalischen Ausdrücken und

(6 Punkte) Bestimmen Sie, ob folgende Anwendungen der Quantorenregeln für die natürliche Deduktion

'RQQHU OD IRQFWLRQ GH WUDQVIHUW + S HQ /DSODFH GH FH V\VWqPH G¶HQWUpH H W HW GH VRUWLH V W 'RQQHU O¶H[SUHVVLRQ GX JDLQ VWDWLTXH O¶RUGUH HW OD FODVVH GX V\VWqPH. 2Q VXSSRVH LFL TXH U

'RQQHU DORUV OHV FDUDFWpULVWLTXHV SULQFLSDOHV GH OD UpSRQVH LQGLFLHOOH HQ ERXFOH IHUPpH HUUHXU VWDWLTXH SUHPLHU GpSDVVHPHQW WHPSV GH UpSRQVH j. 'pWHUPLQHU OD

$EDTXHV G XQ V\VWqPH GX VHFRQG RUGUH WHPSV GH UpSRQVH j UpSRQVH LQGLFLHOOH FRXUEH GH JDLQ HW GH SKDVH HW DPSOLWXGH GX HU GpSDVVHPHQW. 8QH WDEOH GH WUDQVIRUPpH

/¶RSpUDWHXU DSUqV DYRLU DFFURFKp OHV SLqFHV j WUDLWHU VXU OH FDGUH VLWXp DX SRLQW GH FKDUJHPHQW HQ SRVLWLRQ EDVVH GRQQH O¶LQIRUPDWLRQ GpSDUW F\FOH GF\ /H FKDULRW DXWRPRWHXU &0