Application 1 Application 2 Application 3 ...

! #"#$&%')(* +

,.-0/*132546-0798;:

<;=?>A@ / <;=?BDC

E.-@ :)F)8;GIH':JH':)/6K43-ML;13-M25NOH':QPSRUTVE <XW

Y[Z]\'^`_ba*\dc ef +$g\Xih

jV\k^l #"nm\'a*\o!\'a*p+)(* +b&\'a

Coq:rsN;-M13-M25Ns/

t 25NX134uF)-vNX13:)/DHwRx-vNX1 q:fy543-M1 q:

E.2546zFPM-0/3F)13-M25Nd{0|}2543z~:)/N;2!43zF)Pv:)/€+‚ƒ‚f‚…„

†#F5/6/3Fy!:‡H+Rˆ8;NO/3Ku‰ :ƒzFQ43:ƒPŠF16-v25N‹N;:ƒPbŒF‡8;NO/3Ku‰q :ƒzF:ƒNX13-M1q :ƒŽF5/6/2XK-ŠF13-M25Nq

jV\k^l #"nm\'a*\d\')(S’‘\'“p•”5”! #%'(*p+)(* +

Coq

:rsN;-M13-M25Ns/g:ƒ1D46:ƒL;4

q

:)/:ƒNX1uF)13-M25Ny54–FL;‰;-Š7—8‹:

†#F5/6/3Fy!:‡H+Rˆ8;NO/3Ku‰

q

:ƒzFQ:ƒNX13-v1

q

:ƒŽF5/3/*2XK-0F)13-M25N˜ŒF[8‹No/6K…‰

q

:ƒzF46:ƒP0F)13-M25N;N;:fP

j‡™vp+a*šbm\X›!\d!\'a*p+)(* +b&\'aSa*\

œ L q:ƒ4uF)13-v2!Ns/g:ƒNs/*:ƒzI;Pv-Š/13:ž/

œ L q:ƒ4uF)13-v2!Ns/g43:fP0F16-v2!N;N;:ƒPMPv:)/n{ Ÿ*25-MN'168;43:¡€+‚ƒ‚ƒ‚„

jV\¢%;p+a£%'$ba.!\'a*p+)(* +b&\'a

jV\ka*p+&š•p•š•\¢¤b¥dj

W NX13462XH'8sK16-v2!N

<;¦?§ -vNX13:ƒ4–F5K16- |]¨s/:)/6/-v2!N•€ §•©dC € §•CVC € §ªt&C

<;¦?§ L;432!y54–Fz«z :J¨q <;¦?§ -MN'1 :ƒy54q :9€9z«2XH'8;PM:q <;¦?§ € <‹¦V§ H'¬XNsFz~-0798;:

­g +&%')(* +b&\'^l\'ª".™®$¯¤b°²±«³ ´o\Xa*p+)(* +bg\Xa

t 43-v1fŒ:ƒ43:ž/gH+Rˆ8;N <;=?BDCVµ

§

Rx25L‹13-vz~-0/:f8;4&H+Rx8;N‹:46:)798ª¶:ƒ13:·H+Rx-MN'16:ƒ434625y9F)13-M25N

§

:y!:)/16-v2!N;NsF-M43:JH':)/D134–FNs/6F5K16-v2!Ns/

¸¹\'!”)_n\;%')(Sº\;”

<;=?BDC H :)H'8sK16- |/q

<;=?BDC 4 :ƒLsF)4313-Š/q

<;=?BDC 2!43-M:ƒN'1 :)/g25;Ÿ*:f1u/q

TsT BDCb§•§ T W*> € © §•W*© T © €‹T bµ.œ T §

"!$#&%('*)+()-,/./012354 67-678*79.:0<;5=>4?'54@,A62(6A4 B'

CED<F 1%G% CIH&JLK-MMN

©

sT CVW*B

T¹€

t

Cb§ªœ?BOb§

P

,Q-,;5;5B'*'IRS-,/S6<,AT*,A6-US="-,:VW6A4 B'*'*@,

XOY[Z XJGK-M\]

© B.œ g= , œ?B € = = T µnC T µ.W E¹€X†/^]T §•CVµnW7

%_-,[`*aAS62,O#&B'&Sb*6,

J

@('*)+()c-,

J

`&,A-,d;5;5B'*'IRS-,

J

=RS673*Be;5-,

J

4 '567SAfg-,

CED<F 1%G% CIH&JLK-MM !

B BDµ

T?E t ,

h

€'†is,VTj

§:

,

VµV<

V€

< §

k²T µ E

bµ

€ <

lknmQE hœQœ

†

H*o %qp H S7rS N*sut

H 4 ="Bc'v('&; H 3+8&,Q67S1wxSwy4z{@(' JLK-MMcN

= BDµnW

T

µ.C

\

blB8*|}4 '&;5B~[,

Z1€

CED<F 1%G%

CIH&JLK-MM\

t L C T

0['4 '+67Be;58&6Q4?Bc'v6B>;*W62(`&,A‚,QTe,A6S=$,

0 XOX[ƒ7H Z | C„H % C:DJGK-M\ct

t

C§ªœ?BOb§

€ t

§:gt&§:<&

€w†/

µnW–t

,?T µ.C

P ,Q-,;5;5B'*'IRS-,[#&;5-,1,QTe,A6-US="-,/7@(6A4 B'*'*@,[(85…v,AT*,A6-US="-,/B`*aAS62,

ƒ '+6S7'&(6A4 B'&† € 3*B=$,ABc'ˆ‡E8*`5{4@,A354 '*) Jƒ '567S C ;c4?6Q4?Bc'&, J‰K†MM*K

= = T µnC T µ.W E

P

,Q-,;5;5B'*'IRS-,[#5 -,1,AT*,A6-US="-,/S6I S8*2,„VW'*)+()-,

CED<F 1%G% CIH&JLK-M\]

= = T µnC T µ.W E

P ,Q-,;5;5B'*'IRS-,/.`*aAS6S6 F @(6Q4?Bc'*'*

CED<F 1%G% CIH&JLK-MMM

= = T µnC

T

µ.W

E¹€

œ = T µnC

T

µ.W

E

%_"Š:z4 S'+6. H S7rS8*

CED<F 1%G% CIH&JLK-MMN

= = T µnC T µ.W E¹€X†/^]T §•CVµnW7

P

,Q-,;5;5B'*'IRS-,/7@(6A4 B'*'*z -,

J

('&?T*,AOS61Bc="b&(2†4@,ABc'‹;5-,1,AT*,A6-US="-,

CED<F 1%G% CIH&JLK-M\t

= = T µnC T µ.W E¹€X†/^]T §•CVµnW7

H T*,A6-US="-,I;5‚)-,Q6A4 B'‹;5-,I`&,A-,[;5‚;5B'*'IRS-,†r('&lR-,

CED<F 1%G% CIH&JLK-M\M

t © T µ q

€ = §:bC T?E

H*o % ƒ '54?6Q4VW6A4 B'‡:7B)c2(="=$W6A4 B'

0 F w 0

Z1X

Š1%

ƒ Z9J‰K-McM

s†+TVEOªT9TJ€ © ;†wTVEOT9T¹€ B ;† µ9 E Cµ.= T <

wy4@7B H BWf 6 H*o % H S7rS9#1854@;5;5‚,Q8*7r4

B3*'‹|}4z ST H B'&, J*ƒ '+67S'&(6A4 B'&† € 3*B=$,AB'‹‡E8*`5z4V,Q354?'*)*2W'& J K†MM !

±«p•”5\˜"\²³² +~‘\;\‹”u±«³

N /:ƒzI;Pv:?H':)/DHX25N;N q:f:)/{H':QPSRˆ2543y¡FN;-Š/3F)13-v2!N+„&/16438sK138;4 q:ƒ:)/g:ƒ1DPM- q:ƒ:)/b:ƒNX1343:?:ƒPvPM:)/.¨

/*132XK :J/8‹4V/*8;L;Ls25461‡ŒFIF5KƒK!Œq :)/DH'-v46:)K1?{SH'-Š/3798;:VzF)y5N :ƒ16-0798;:5„–€q

y q :ƒ4

q

:QLsF)4.8;N

<;=?BDC

€

F!KƒK:)/6/-v‹Pv:VLsF)4.8‹N :fNs/:ƒzI;PM:VH+RUFL;L‹Pv-0KfF13-M25Ns/-

µ :ƒzF4u798;:

‡LB8*[8*'v8*6Q4{z4@,7(6S8* J 4zE,()(4 6<;567Bc8*67-,/ -,d4 '5fB=$(6A4 B'&,O;59B7)5('54@,7(6A4 B' J 4 '&;iRSb&S'&;*W="="S'56‚;58 ,Q8*b*b&B76

@,7,AS8*

J

`&('&;5‚=()'IRS6Q4c8*

J

S6[;58 ="Be;5;5O)-,A6A4 B' =$('58*GB8‹(8*67Bc=$(6A4@,5R

¤b”‹m\'^l\d"b\ °²\;”)(£ + "b\k±«p•”!\;”"b\¢³k +b~‘\;\;”f¤b°²±~³

N /:ƒzI;Pv: H':²L;432!y54uF)z«z«:)/‡Ls:ƒ43z~:ƒ131–FNX1«P0F¢y5:ž/13-M25N HwRx8;N;: BDC €g46:ƒNsH;F)N'1164uFN /LsF)43:ƒNX1oPŠF /*13468sK138‹4uF16-v2!N

L;‰'¬‹/-Š7—8‹:QH':)/DH'2!N;N

q

:ƒ:ž/./*8;4DPv:J/8‹L;Ls25431J{SHX-0/3798;:QzF)y5N

q

:ƒ16-0798;:5„

¤°i­

!"

¤°i±«³ #b(X‘\X5p+!%$#b(!%ª$&\

& '

( )

F46 2!43:)/6K:ƒNsK:

µ :ƒzF)4u798;:¹¨13:fz«Ls/gHX:4 q:ƒLs25Ns/*:¹2!L;13-MzFPwL 2!8;4n13258‹13:Q43:)Ku‰;:ƒ4–K…‰‹:Q7—8‹-•/8‹-v1DPv:J/*:ƒNs/g‰;- q:ƒ4uF)4uKu‰;-0798;:

COq

:fL :fNsH;FN K:QL;‰'¬‹/-Š7—8‹:‡¨sK25NX13-My58*+M1

q

:JH':)/DHX25N;N

q

:f:)/V{ :ƒ1DL F4|}2!-0/DLs25-vNX13:f8;4u/u„

GX:ƒz«L;PM:¹¨ W*©k<

¤°i±«³ ’‘\;”!\;p+$

-,/.10

¨ tDœVC T < m §kCVB =

Bc'5f S7S'&9B'‹;*(62j,ATe,Q67S= VW'*)8&()-,[;*(62(`&c,A16,32)7B8*b

' & 4 '

4

& ' ( & )

y!4uFL‹‰;:

COq

:fL :fNsH;FN K:QPv25y!-0798;:I¨;Ls25-vNX13:f8;4u/

GX:ƒz«L;PM:)/D¨ W*C<~W3W € W*CV©k<

5

678 !"

¤°i±«³ !\'a£p+(£ +&\'a

-,/.10

¨ > tDœ?CVC

COq:fL :fNsH;FN K:J/ :ƒzF)N'16-0798;:J¨q @ F)Pv:ƒ8‹4u/

GX:ƒz«L;PM:)/D¨

œ?µ

T

t&§:

€ W E

=?µ9g<

€ W E

>]œ?µn©dW39

€ < m B T

<&

€

CVB €

<;¦?§:)C<

€wT

tDt1 <‹<

<;=

=>

¤°i±«³ ’‘\'_&p+))(*”

GX:ƒz«L;PM:)/D¨

œ?µ

T

t&§:@?

€ W E

=Vµ‚g<A?

¤°i±«³ +)(*\Xª’‘\;” +›beƒ\X5”

GX:ƒz«L;PM:)/D¨oT W*© Ž†ª€‹† œQ< =?µ‚g< € œ € =b©k< œ E

s n;

¸[)(S&%'(_n\

Œ

T8‹N;:JFL;L;PM-0KƒF)13-M25NOK254643:)/*Ls25NsH8;N²{ @ 25-M43:QL;PM8s/-M:ƒ8;4u/u„ªrwKu‰;-M:ƒ4u/

&%; +ºI‘\'b(*\'«^lp ef\'$b

µ :)HX25NsH;F)NsK:

‡:7Bc`5 US="‚;5-,I=4@,A-,U[aAB8*

4 '&,AS6A4 B'

J

="B*;c4 S(6A4 B'

J

,A8*b*b*7-,7,4 B'

‡LS767‚;-,Qb&‚;c4@,8*

+g”’‘\ %ª$&\'&%;\;”

W N K25Ns/*-0/*1uFN K:

W N K25‰ q:f43:ƒNsK:

q

KP0F16:ƒz«:ƒNX1

$b!\;”(S&%; +ºI‘\'b(*\'!”

†]4625y!4uFz~zF16-v25N { :ƒN § = „

^V-0/*-v25N~LsF4613-v:fPvPv:·H':QPSRx-MN'|}2546zF16-0/6F13-M25N

¸[! +›bam\'^l\;”

t

25NsK8‹4343:fNsK:

<bq:)K8;46-v1 :q

W NX1 q:fy543-M1 q:

¯Q .

¸[)(S&%'(_n\

§ :)/gL;432!y54–Fz«z«:ž/gH+RUFL;L;PM-0KƒF)13-M25N«|}25NX1D132!8s/.F)L;Ls:ƒP0/nF8 <;=?BDC 7—8;-wPv8;-/*:ƒ8;P&ŒF‡F!KƒK5Œ:)/QŒF‡P0F BDC {SHX25N;N q:f:)/…„

º•p+!p•š•\;”

E.25N43:žH'25NsH‹FNsK:

t 25Ns/*-0/1–FNsK:

t :ƒN'164uF)Pv-0/6F16-v25N

t 25z«LsF!K-v1 q:

^V-0/*-v25N~y5Pv2!sFPM:‡H'8O/*¬;/*1ƒŒ:ƒz«:·H+Rx-MN'|}2546zF16-v25N

>

-0F);-vPM-v1

q

:

W N H q:ƒLs:ƒNsH;F)NsK:JH'2!N;N q:ƒ:)/ : 164uF-M13:ƒz~:ƒN'1–/

W NX13:f43432!y9F)13-v2!NOK25N @ -@ -ŠFPM:¹{}P0FN‹y9Fy!:‡F)8;132!N;25z«: <;¦?§ -MN'16:ƒ4uF!K13-®|„

†]4625y!4uFz~zF16-v25NO{ :fN § = ‰#¶2516:QH': <;¦?§ €sF @ :)KnH':)/by :ƒNq :f4uF16:ƒ8;4–/gH+RUFL;L;PM-0KƒF)13-M25Ns/€—z~:ƒN'8q /€ :)K4–FNs/€—4–FL;Ls2!431u/u„q

GX13:fNs/-M;-vPM-v1 q:

†ª25PM-v13-Š7—8‹:.y!Pv25 FPv: H+Rx-MN'|}2546zF16-0/6F13-M25N

C

25N;N

q

:ƒ:)/gLsF)431uF)y

q

:ƒ:ž/

TVKƒK!Œ:)/bLsF461uF)y :)/nK25‰q :ƒ43:ƒNX1u/V{K25Nq K8;4346:ƒNsK:!„

^ q:ƒ43-®rwKƒF)13-v2!N«y5PM25sF)Pv:JH':)/nH'4625-v1–/V{S/ q:)K8;46-v1 q:!„

^ q:ƒ43-®rwKƒF)13-v2!N«y5PM25sF)Pv:JH':)/nK2!N'164uF-MN'16:)/.{}-vNX1 q:ƒy!43-M1 q:5„

&%; +ºI‘\'b(*\'!”

§ : <‹=VBDC :)/1D8‹N PM25y!-0K-M:ƒP•K2!z«L;PM:ƒG':

µ :)/6/2!8;4uK:ž/V{ z q:ƒz~25-v46:nF8;GX-vPM-0F)-v43:¡€—z q:ƒz«25-M43:DL;46-vNsK-vLsF)Pv:9€9L;462XK:)/3/*:ƒ8;4„g-Mz«Ls25431–FNX13:)/&/2!N'1nN q:)K:ž/3/3F)-v46:)/

§

Rx-vNX|}2543zF13-M25NHwRx8;N;:Q2!43y9F)N;-0/6F16-v25N F[16:ƒNsH;F)NsK:~ŒFo¶:ƒ1346:QH

q

:)K:fN'164uFPM-0/

q

:ƒ:

­g +&%')(* +&”

C :)/3K43-vL‹13-v2!NH':JPSRx-Mz«L;PMFNX1uF)13-M25NIL;‰'¬‹/-Š7—8‹:‡{S/*8;4VHX-0/3798;:5„&HX:)/DH'25N‹N q:ƒ:)/

Coq

:rsN;-M13-M25NOH':)/DH'2!N;N

q

:ƒ:ž/{

§•CVC

„?¨;H':)/6K43-ML;13-M25NOH'8 /3Ku‰

q

:ƒzFQK2!NsK:ƒL;168;:ƒP H':)/nH'25N;N

q

:ƒ:)/

© FN;-ML;8;P0F)13-M25NOH':)/DH'2!N;N q:ƒ:ž/{ §•©dC „n¨;43:)Ku‰;:ƒ4–K…‰‹:¹{}-vNX13:ƒ464325y¡F16-v25Nw„b258oz~-0/:[ŒF.Ÿ*258;4?H':JH'25N‹N q:ƒ:)/

,A B' ‚(b*b&B61;5[0 Z Hƒ <]cH

‡&0

F Š H

68&;5T17B8*b Bc'

X

(62

P

,AOwx('&()S=jS'+6

H

T*,A67S=$,

Application 1 Application 2 Application 3 ...

Schéma Externe 1 Schéma Externe 2 ...

Schéma Conceptuel

Schéma Interne

Système d’Exploitation Matériel

...

...

b(Sº\;p+$bZ "b\¢”!%$#«‘\'^ p

GX13:f43N;:ଠrc4V, 4?Bc' , 4?=jb5{4 RS;5O4 '5fB7=$W6A4 B'

8*

H 73IRS=$

ƒ

'567S77Bc)+(6A4 B'. wy4@,A$U[aAB8*

t

25NsK:fL;138;:fP#¨ 4 '+6*RS)2†z4 6*R<;5[4 '5f B7=$(6Q4?Bc' !"!#%$&$(' )+*

F @(6A4 B'

ŠiB'5672†4 '567

‡:A4 rc4z US)

W

NX13:f43N;:ଠ4 ="b5@('562(6A4 B' b*3+T*,48*;5O4 '5f B7=$(6Q4?Bc'

ƒ'&;5…

018&;c4 6

,

b(Sº\;p+$bZ "n™ (g"I‘\'_n\Xg"bp+&%;\

GX13:f43N;: :!t 25NsK:ƒL;138‹:ƒP#¨

b&(d…eS="b5

J

'*B8*rz -,[r+8*-,dB8 '*B8*rc{ -,„4 '5fB=$(6A4 B'&,

t 25NsK:fL;138;:fP :)W NX13:ƒ46N;:‡¨

b&(d…eS="b5 J *RSBc7)+('54@,7(6Q4?Bc'ˆ;5-,;5Bc'*' S-,IblB8*<cS&RR S7S/ -,d672†4 67S="S'562,R

jV\;”(Sª!\')º\'&p+!”

13-MPv-0/6F16:ƒ8;4

†]4625y!4uFz~z«:ƒ8;4

TVH'z«-MN;-0/*134uF)13:ƒ8‹4gHX:)/ C 25N‹N :ƒ:)/q

T.NsFPM¬;/*13:

TVH'z«-MN;-0/*134uF)13:ƒ8‹4gHX:PŠF B F5/*:¹HX: C 25N;N :f:)/q

W

N‹y

q

:ƒN;-M:ƒ8;4 /¬‹/1fŒ:fz«:

Données

Dictionnaire de Données

Langage hôte Ateliers de Génie Logiciel

Générateurs

...

Moteur Relationnel SQL interactif

´ +a*\‹” "#$³d(*%')(* +b&p+(S!\k"b\²³k +b~‘\;\;”

C :)/3K43-vL‹13-v2!NH'8 /3Ku‰ q:ƒzFJH':)/DH'2!N;N q:ƒ:)/V{/3Ku‰ q:ƒzF!/€X43:ƒPŠF13-M25Ns/€ @ 8;:)/€sK25NX134–F-vNX13:ž/€'L‹43-@ -vPŒ:ƒy5:ž/€s‚ƒ‚ƒ‚„

< 132XK !Fy5: H+Rx-MN'|}2546zF16-v2!Ns/g/*8;L;L;P q:ƒz«:ƒNX1uF)-v43:ž/.ŒF‡HX:)/ r Ns/DH':‡/*8;4 @ :f-vPvPŠFNsK:9€9/1–F16-0/16-0798;:9€X25L;16-vz«-Š/3F16-v2!N•€'46:)/1–F8;Ž

4uF16-v2!N•€•‚ƒ‚ƒ‚

' #

%")'

!$

# x% CiF ƒ

' $ !($& %$

# # ' ' ) ! ' !$

"#

' #$

%

& '(

&#!$ ) #

* ,+# # , $

!'

!$

$&(

!' , -' ' $&

%'% # . $&$('

P

0OŠ

P

SSVW8*eR-(6

K-M\

XOCiY

X

4 b50/B="";

R

C

678&;5-,

Y

'54 rS2, 4 62†4 7-, ‹RS' S2?-,R

K-M\

' # %")' !$ ]

# XOY ‡I Z[X

' $ !($& %$ K !

#

# ' ' ) ! '

!$

"# ' #$% & '( &#!$ ) #

* ,+# # , $ ! ' !$

$&( !' , '- ' $& %'% # . $&$('

P 0OŠ P SSVW8*eR-(6 K-M\*K

XOY[€ X

4 b50/B="

Y

'54 rS2,4 62†4 7;5

€

-73*'*BW?Bc)(4

K-M\]

w ƒ 0 [ wx1/

2

67Q4V,Q‚;5-,w RS673*B*;5-,

ƒ

'5fB=$(6A4c8*-,I01b*b5z4c8 S-,UO@R 1-,Q6A4 B'‹;5-,

C

'5677Sb*Q4V,Q-,

K-M\t

' # %")' !$

# xw 0 F‰€„ƒ Z

'

$ !($& %$ ! # # ' ) !' ' !$

"#

' #$

%

& '(

&#!$ ) #

!

!‚%0

! 7Bc8*)

* ,+# # , $ ! ' !$

$&(

!' , -' ' $&

%'% # . $&$('

P

0OŠ

P

SSVW8*eR-(6

K-M

!!

XOCiY X 4 b50/B="";

R

C 678&;5-, Y '54 rS2, 4 62†4 7-, ‹RS' RS2?-, K-M\

w ƒ 0 [ wx1/

2

67Q4V,Q‚;5-,w RS673*B*;5-, ƒ'5fB=$(6A4c8*-,I01b*b5z4c8 S-,UO@R 1-,Q6A4 B'‹;5-, C '5677Sb*Q4V,Q-, K-M\

' #

%")'

!$ t

# XOY[F 0 Z1X

'

$ !($& %$

]]

# # ' ' ) ! ' !$

"# ' #$% & '( &#!$ ) #

]]]c]P n]] 7Bc8*)

Z[€

aQ(8*'*

* ,+# # , $

!'

!$

$&(

!' , -' ' $&

%'% # . $&$('

P 0OŠ P SSVW8*eR-(6 K-M\*K

XOY[€ X

4 b50/B="

Y

'54 rS2,4 62†4 7;5

€

-73*'*BW?Bc)(4

K-M\]

' # %")' !$ !

# x%

CiF ƒ

'

$ !($& %$

]]

#

# ' ' ) ! '

!$

"# ' #$% & '( &#!$ ) #

* ,+# # , $ ! ' !$

$&( !' , '- ' $& %'% # . $&$('

§ :#Ÿ*258‹4bH':DP0Fn43:ƒNX134 q:ƒ:9€ƒPv:n/*:)K4 q:ƒ1uF)43-0F)1#HX:DPSR q:f1uF‹Pv-0/6/:ƒz~:ƒN'1 F @ -Š/:gPM:)/ q:ƒ168sH'-ŠFNX1u/7—8•Rˆ-vPŠ/ 2!N'1+Ÿ*8 /3798•R0ŒF.PŠF rsN~H':gPŠFV/:fzF-MN;:

Ls258‹4gF)z«:ƒN;:f4ªPM:)/ª2546-vy!-vNsF)8;GIH':)/bH'-ML;P3¶2!z«:)/•798•Rx-MP0/ª2!N'1#2!;13:fN'8s/€XK:)K-XLs:ƒ43z«:f131uF)N'1’H':nK2!z«L;P :ƒ13:ƒ4Pv:ž/q rwKu‰;:)/#H':ž/ :ƒ138q H'-0F)N'1–/†

!" #$$ % & ('*)#+,!$-& "./"!$0&& !1'*2! 34#562!7 34#('*&

8

9:5 ;; ;;;; <*= ;; !7 >9? @#"A&934#B!$# #!DC2?E()327#

FGFG ? FG 3 <H5' <* EE !JI

K .,:L FG 9M @#"A&CON

I

C$93#B!$# #!$&MPI3I! $

<H5' <* EE !JI

F Q

5:?%

F4R F4RF4R

.,5

F4R

!7 9M @#"A&CON

I

C$93#B!$# #!$&MPI3I! $

Q 5M Q A

S

!#$&C$ Q I)4C$34T%! %#U4$*52#

<H5' <* EE !JI

†#4325‹PSŒ:ƒz«:ž/

V B'*-, r(Q4VW`5?-, 4W

R

SB J 8*'*jB8xb5?8&,4?S8*,‚r(† S8*2, S'*)S'&;52('56;5-,O;c4Xˆ85 6*R-,‚;5$,A6B.

2()9/XˆS

C

…*S="b5 $# -,drB(4 678*7-,d;8*' S678&;c4@('56R

F -;5B'&;*W'&

C …*S="b5 $# -,„4 '+6A4 6785SR-,B="b5 S62,[;5-,1;c4 b50/B="-,

Coq:ƒLs:ƒNsH‹FNsK:ž/ |}2!NsK13-M25N;N‹:ƒPvPM:)/

ƒ '+6Q4?601`*7S)c ƒ '+6A4 6SŠ/B="b5 S6

Zƒ Z[C Z B= C 678 J*X Sb&(76 Z †4@,7, C 678

Zƒ Z[C J5ƒ

'+6A4 670[`*7S) 0['*'*S

Z ƒ

="=$W6SŠi354 G7-,

J&Z ƒ

="=$(6%S67677-,

JeZ ƒ

=j=$(6

X

Sb&(6 ŠiB85 S8*

JlZ ƒ Z[C

,.¬XL :f43Ž}y54uF)L;‰;: H':)/DH :ƒLs:ƒNq H;FNsK:)/ |}2!NsK16-v25N‹N;:ƒPvPM:)/

NoImmatChiffres NoImmatDepart

NoImmatLettres

DepartNaissEtu NomEtu

NoINE

Annee IntitComplet

IntitAbrege Couleur

Diplomes

AvoirObtenu

Etudiants Voitures

< Ku‰ q:ƒzF!/gH':)/g46:ƒP0F)13-M25Ns/

C 678&;c4@('562,

Z7ƒAZ1C J*Z B= C 68 J&X Sb&(76 Z †4@,7, C 678

BW4?68*7-,

Z7ƒ

="=$(6 Ši354 _-,

J&Z7ƒ

="=$(62%_S67677-,

JlZƒ

="=(6

X

Sb&(76

J

Š/B85 S8*

J&Zƒ Z[C

X

4 b5 B="-, ƒ

'+6A4 670[`*7S)

J5ƒ

'56A4 6SŠiB="b5 S6

0[rB(4 S`*6S'+8 Z ƒ Z[C J ƒ

'56A4 6701`*S)

J

0['*'*S

t 25NX134–F-v16:)/nH+Rx-MN'1 q:ƒy546-v1 q:

Š/B'+62†4 '+6-, ;5R

b*A4 =$4?

Z ƒ Z[C -,A6I@"SR‚;5 @"7@(6Q4?Bc' C 678&;c4@('562,

Z ƒ

="=$(6SŠ/354 G7-,

J&Z ƒ

=j=$(62%S6677-,

J*Z ƒ

="=$W6

X

Sb&(76

-,A6I@‚;5O@7@(6Q4?Bc'R

B(4 678*7-,

ƒ

'56A4 670[`*7S)‚-,Q6I@"‚;5O@j7@(6A4 B'R

X

4 b5 B="-,

Z7ƒAZ1C J5ƒ'56A4 670[`*7S) -,A6I@$SR‚;5[Vj7@(6A4 B' 01rcB(4 S`*67S'58

Š/B'+62†4 '+6-, ;4?'56*RS)A4 6*R[*RfRS7S'+6Q4?z

r† S8*2,

B(4 678*7-,

sZƒAZ1C

r(† S8*2, C

678&;c4@('+6,

suZ7ƒAZ1C

r† S8*2,

01rcB(4 S`*67S'58 suZ ƒAZ1C r(† S8*2,

C 678&;c4@('562, suZ ƒ Z[C

r† S8*2,

01rcB(4 S`*67S'58

sƒ

'56A4 670[`*7S)

r?S8*, X

4 b5 B="-,

sƒ

'+6Q4?601`*7S)c

C

678&;c4@('+6,

Zƒ Z[C Z

B=

C

678

X

Sb&(6

Z

4V,,

C

678

t XOY[F 0 Z1X ]]

%

C/F

ƒ

w 0 F‰€IƒAZ !

! % C/F ƒ ]]

] XOY

‡I

Z[X K !

B(4 678*-,

Zƒ ="=(6SŠi354 G7-, Zƒ =j=$(62%S6677-, Z7ƒ="=$(6 X Sb&(76 ŠiB85 S8* Z7ƒAZ1C

]]]] P ]] B8*) t

! ! %0 ! B8*)

Z1€

a7(8*'*

t

X

4 b5 B="-,

ƒ '+6A4 670[`*7S) ƒ '56A4 6SŠiB=jb5?S6

XOY1€ X

4 b5 /Bc="

Y

'54 rS2,4 62†4 7;5

€

-73*'*BW?Bc)(4

P 0 Š P SS†@(8**R-(6

w ƒ 0 1 wx1/

2

67A4@,A‚;5-,[w RS673*B*;5-,

ƒ

'5fBc7=$(6A4c8*-,0[b*b5z48IRS-,U9@ 1-,A6Q4?Bc'‹;5-,

C

'5677Sb*A4@,A-,

XOCiY

X

4 b5 /Bc=";

R

C

678&;5-,

Y

'54 rS2, 4 62†4 7-, ‹RS'IRS2† -,

0[rB(4 S`*67S'58

Z ƒ Z[C ƒ'+6A4 670[`*7S) 0['*'*S

XOCiY K-Mc\

XOCiY K-Mc\

t XOY[€ K-Mc\]

w ƒ 0 1

K-Mc\

] XOY[€ K-Mc\]

P 0OŠ K-Mc\

P 0OŠ K-M !!

] w ƒ 0 1 K-Mc\t

t P

0OŠ

K-Mc\*K

] P

0OŠ

K-Mc\*K

Voitures

Couleur NoImmatChiffres NoImmatLettres NoImmatDepart

Etudiants

DepartNaissEtu NomEtu NoINE

Diplomes

IntitComplet IntitAbrege

Posseder AvoirObtenu

Annee

1,1 0,n 0,n 1,n

Posseder AvoirObtenu Diplomes

(DUT,Diplôme Universitaire de Technologie)

(BAC,Baccalauréat)

(MIAGe,Maîtrise des Méthodes Informatiques Appliquées la Gestion des Entreprises)

(DEUG,Diplôme d’Études Universitaires Générales) Etudiants

(5,DURAND,33)

(2,LEROI,40)

(4,MARTIN,47)

(7,LEROI,33)

(3,DUPOND,17) Voitures

(3333,BX,33,rouge)

(4747,LA,47,rouge)

(4040,NT,40,jaune)

1983 1981 1980

1985 1981

1983

1980 1982

1977

1982

+g%‹\'_b(£ +

{H'25N‹N

q

:ƒ:)/u„

œ

NOK2!Ns/-ŠH+Œ:ƒ46:PM:)/-MN'|}2546zF16-v2!Ns/D/8;-

@

FNX13:)/DH':ž/13-MN

q

:ƒ:)/QŒF‡K25z«L;P

q

:ƒ13:f4PRx:ƒGX:ƒz«L‹Pv: Ÿ*258;:ƒ1

% ARS678&;c4@('+6[‡

ƒ

Š/0

FX

j73*S6*R[b&B8*

\

f 2('&S,I8*'*

€

~I4 '*)B4 ="=$W67A4@85 SR

K ! K

!‚%

F K

!O 5!da 854 '

K†M\M

'v;/R-, 4 7‚,7†rB(4 8*@,[,AB'56I -, S678&;c4@('562,R 854‰blS8*rS'56<B'&;5854 79 -,IrBW4?68*7-,1;5-,RS678&;c4@('562,

% 4 '5f B7=$(6Q4?Bc' ,A8*9?-,j;c4?b50/B=j-,"-,A694 '&,A8Xˆ,('+6#G4zfg(8*6 RS)5† S="S'+6"B'&, 4V;/RS7S9 -, RS62W`5{4@,7,QS="S'+6, -rc-

'*B62(=j="S'+6/ S8*2,[;57-,7,Q-,

c854‰B'56„;/Rz4?r5*R‚-,1;c4 b50/B="-,[(85… RS68&;c4VW'+62,

' rS8*6 S)+† S="S'56$blB8*rB(4 vBc'&,R 4@;iRS7S -,‹c;57-,7,A-, ;5-,ˆ?Bc)S="S'562, ;5-, S678&;c4@('562,R

sI€

B8*67fB(4@,

J

67B8&,j -,

R

S678&;c4@('562,['Bc'+6Ob&,<fBc2&RS="S'56O8*'67/ B)S="S'56‚S6‚S76†4 '&,‚3&W`54?6S'+673*

W

S8*2,Ob&(S'+62, s ‡:(B'5677 J Bc'

;iR-,4 7‚Bc'*'&1/

2

677Ouc;57-,7,A‚;5-,db&(7S'562,I;5‚67Bc8&,/ -, S678&;c4@('+6,R

' ,A b*7BblB+,Av;5xB'&,A6A4 678*S8*'*v@,, 4 S(6A4 B' ;5‹blB8*2,A854 67-, ;ARS678&;5-,Lb&Bc8*ˆ@ J '*B8&,;c4V,Qb&B+,ABc'&,$;5

-,c854V,,A,A854 r(('+6Ofg†4@,7('561(b*b&(2 /2

67[ -,1;c4 b50/B="-,[7c854@,S6db&B+,A685-,R

DUT MIAGe

DESS

Licence Maîtrise DEA Doctorat

DEUG

BAC

Légende Diplôme postulé

Diplôme requis :

GX:ƒ4–K-0K:

¨ ;/RS6S7=4 '*SO -,9'*B8*rz -,";/RSblS'&;*('&-, f Bc'&6A4 B'*'*z?-,

J

B'&,A67854? $'*B8*rc-(8 35T5b&S7. )(b*3*$;5-,

;/RSb&S'&;*('&-,„f B'&6A4 B'*'*z -,

J

S6S'v;/R-;5854 7[ ‚'*B8*r-W8v,73 S=$97@(6Q4?Bc'*'*R

GX:ƒ4–K-0K:

¨ RS62(`5z4 I ‚'*B8*rc-(8‹,73 RS=$9S'56A4 6eRS.g,,ABe4@(6Q4?Bc'

GX:ƒ4–K-0K:

‡:,7,AS;58'*B8*r-(8,73 S=$y7@(6A4 B'*'*4@,7,Q8R ;5…eS24@

K

(8,73 S=$yS'+6A4 6*RR S.g,7,AB*4@(6A4 B':B="b&W7S

;5S7'54 S>Uj?854L4@,7,A8x;5O…*S24@

‡:,7,AS;58'*B8*r-(8,73 S=$yS'+6Q4?6*RR S.g,7,QBe4@(6A4 B' 4@,7,A8 ;5…*S24@ (8 ,73 S=$y7@(6A4 B'*'*iB="b&W7SR

;5S7'54 S>Uj?854L4@,7,A8x;5O…*S24@ K

a*šbm\'›b!\i!\'a£p+(£ +&\'aa*\d\'d¤b¥dj

{ 164uF)-v13:fz«:ƒNX1u/…„

GX:ƒ4–K-0K:

¨ R-A4 7[ -,1?)cBA4 673*="-,;5O6B8*67-,/ -,dBb RS2W6A4 B'&,I;5Ou† )&US`*7O7@(6A4 B'*'*z

GX:ƒ4–K-0K:

¨ R-A4 7OS'‹† )&US`*7O7@(6A4 B'*'*z "S6S' H*o % -,7c8 /S6‚,A854 r('567-,

%-,„{4 `l{SR-,OB="b5 S62,[;5-,;c4 b5Bc="-,/

%-,drB(4 678*7-,/4 ="=(67A4@85S-,dS'4 7B'&;5R

]] S6Uj‡:(A4@, ! t

%-, S678&;c4@('562,/'R -,IS'd4 7B'&;5‚S6[;5B'+6„?9'+8*=RR S7B-,A61W8 b5?8&,yRS)5† U M

%-,[('*' S-,I;R B`*6S'+6A4 B'x;58 XOY1€ 854‰'*,AB(4 S'56b&,;5-,[('*'IRS-,I;Bc`*67S'+6Q4?Bc'‹;58 P 0OŠ

%-, S678&;c4@('562,/S6I S8*2,[;c4?b50/R B=j-,

%-, S678&;c4@('562,I,7('&,;c4 b50/R B="

€ Bc8&,/ -,1;c4 b50/B="-,O(8 c8*@,blS8*rS'56b**RS6S'&;57‚73& 8*RS678&;c4@('56

%-, S678&;c4@('562,I†T+('56R Bc`*67S'+8 6B8&,/ -,1;c4 b50/B="-,

‡LB8*13& c8*vRS678&;c4@('56 J -,1;c4 b50/B="-, c84z‰'ub&c,IB`*67S'58&,

%G7@(6Q4?Bc'‹8*'54 rS2,Az

© 2XH+Œ:ƒPM:)/ @ 25-Š/-vN /

w B*; U OS'56A4 6eRS.g,,ABe4@(6Q4?Bc'

w B*; U OB7)5('54@,7(6A4 B'*'*q;5-,d;5B'*' RS-,

w B*; U [ B)(4c8*;5-,[;5B'*' RS-,

w B*; U O'&†r4 )+W6A4 B'*'*

w B*; U OB`*aAS6

œ

43-vy!-vN;:

K†M

! #

Cs s

Šd

XOX

µ

:fzF4–7—8;:ž/

Y

'‹;5-,d="Be;U -,/ B)(48*-,[;5-,[;5B'*' S-,;5‚wR

C/FIƒ7H+C

w B*; U O67-U-,Ef B=$†z4@,+R =$(63 RS=$(6Q4c8*

l†4 61,A854 67 U";5S85…yBc8*2('562,

w Be;U?O354SRS2(23548*

w Be;U?O'&†rc4 )+(6A4 B'*'*

B8 *R-,Q-(8

Y '*‚(b*b5z4@S(6A4 B'x="B(TS'*'*‚B=jb*67‚S'5677 ] S6 t 7@(6A4 B'&,

Y[&”!\'^ ›ba*\ %; +aSa£\;%')(* +"n™ƒ‘\'aX‘\X^ \'!” u”5p+&”«#‘\'_«‘\')(S)(* + (? +!"#5\

C …eS=jb5?# -,1354 G7-,

³‘\bb(S)(* + \X\XZ#!\'&”(* +

C …*S="b5 $# -K 7] 7t7N ! 7\7M

³‘\bb(S)(* + \X%‹ +^`_b’‘\ #&\'&”(* +

C

…*S="b5 $#

ƒZ

#!

K

¸[! #"#$b(SO%;p+)’‘\;”(£\' "b\¢"b\'$bZ \Xg”!\'^ ›ba*\‹”

C …eS=jb5?#

H B(4 6#"$% '&(

H B(4 6#)* K+ ]

0 B, J "$,-).

% -K / % '

% 2] '

&(-K'

&( '

&] 0

¸¹p+))(*\¢"n™ $b\'&”5\'^›ba*\

C …eS=jb5?#

H B(4 6#"$% '&(

H B(4 6#)* K+ ]

0 B,

J

8*'*;5-,„b&(76A4 -,db&S8*6 /S67721

"$,)

%

/

&

3

&7] 4

5ob(* +"\˜"\X$Zl\'&”5\X^ ›ba*\;”

C

…eS=jb5?#

H

B(4 6#"$%

'&(

H B(4 6#)* &/6(

0 B,

J

"879).%

'&'6(

5\X5”!\;%')(* + "b\¢"b\'$bZ \Xg”!\'^ ›ba*\‹”

C

…eS=jb5?#

H

B(4 6#"$%

'&(

H B(4 6#)* &/6(

0 B, J "8:9). &(

³i(4;o‘\'!\'&%;\d"b\¢"b\'$bZ \'&”5\'^›ba*\;”

C …eS=jb5?#

H B(4 6#"$% '&(

H B(4 6#)* &/6(

0 B, J "<)=$%

³k +^lp+(S&\

:fNs/:ƒzI;PM:nH': @ F)Pv:ƒ8‹4u/

C …eS=jb5?-,9#‹3&1/

2

'*-,1;5S(26-US7-,/;5O B'*)8*S8* t*J S'56A4 S2,

))(S›b$b u +$%‹ +a* +bg\

N;25z HX:¹K25Ns/*13-v168sFNX1Q{ 2!8

@

F46-0F);Pv:5„bL‹43:ƒNsF)N'1n/*:)/

@

F)Pv:ƒ8‹4u/DH;F)Ns/ 8‹NoHX25zF)-vN;:

C …eS=jb5?-,9#‹;/RSb&(767S="S'56;5O'&†4@,7,7('&;8*' RS678&;c4@('56 J*Z

ƒ Z[C ;8*' RS678&;c4@('+6 J Bc85?S8*O;8*'*9rB(4 678*7

´o\'a£p+(£ + u +$ !p+›ba*\ ;/R &'54?6Q4?Bc'‹S' …*67S'&, 4 B'

†#F4613-v:{ 2!8 /*258s/*Ž :fNs/:ƒzI;PM:5„²H'8 L‹432XH'8;-M1 KƒF)431 :)/-M:ƒNq

J/8;4bPv:ž/F)131643-v‹8;1u/f‚ƒ‚ƒ‚

H'25NX1VKu‰sF!7—8;: :ƒPq :ƒz«:ƒNX1n{f‚ƒ‚ƒ‚'„&:)/1n8;Nq

$b_ba*\

{ 258!

“u$b_ba*\'

„wF

@

:)K"#%$#XPv:&H'25zF-vN‹:bH':gPRF)131346-v;8‹1

&#•Ls258;4n132!8;1

('*)'*+

,

-

.

.

.

./.

./.

./.

F @

:žK

0

#1

.#

ƒ‚f‚ƒ‚

./.

#324

#

L 2!8;4V16258;1

'*)'5+

Ši3& c8*‚z?85

4?'567S2,Q-6A4 B'v;8*'* z4?)c'*‚S61;8*'*B( B'*'* ;5="S68*'*9S68*'*,AS85 9r† S8*

³²\;š+’‘\

;8*'*‚7@(6Q4?Bc' #*'*B=`*7‚;(6767A4 `*8*62,

Bc8‹;5B( B'*'*-,

p+!"#(S&p+a

;8*'*97@(6A4 B' #+'*Bc=`*‚;5‚678*b5 -,

B8‹;5Oz4 )'*-,

C …eS=jb5?#

687:93;<>=?7A@

BDCFEABD6 BHGI687A9 JLK1M=NA7BD=O<P@:@Q687:9

R J%SLTHU"BDJ VV

W XY6ZTH[LE \]

\ ^U%T8_HEAB \`

` XY6ZTH[LE VV

V J%SLaZ["BDJ bc`

¤’%$#«‘\X^ p"\˜´o\'a*p+)(* +d O

b3e

WYe8fgf8fe h

;/R &'54 6A4 B' S'vB=jb*eRS3*S'&,4 B'

§ -0/16:JH':)/DF161346-v;8;1–/.HwRx8;N;:?43:ƒPŠF13-M25N

C

…eS=jb5?#

C

68&;c4VW'+62, Z ƒ Z[C J&Z B=

C

68

J&X Sb&W76

Z

†4@,7,

C

68

F

S=( c8*ˆ#y@ ;iR &'54 6A4 B'x;8*'*7@(6A4 B'

S'‹67S7=j‚S'&,AS=`5z4@,A67

4 ="b5z4 8* c8*67B8&,/ -,[678*b5 -,O,ABc'+61;c4 ORSS'+62,d;5S85…

U ;5S85… /Sb&S'&;*('56 J -, H PIXOF '* riRSA4 &S'+6"b&c,$S676 b*7Bb*A4SRS6*R

;5B8*`5 B'&,(8*67BcA4@,+R-, S6 @ B'&;5854 6U 3*B(4@, 4

,AT*,A6*RS=$(6A4 c8*S="S'56 8*'*R b&(=4G -,1SR-,S('&;c4@;*(67-,

b&B8*O73& 8*O7@(6Q4?Bc'

aX‘\ 3_b(^ p+(S!\d +$ _b)(S&%'(S_&p+a*\

T 161343-M;8;1&258oy!432!8;Ls:‡H+RUF131643-M;8;1u/gz~-vN;-Mz«F)P+798;-w-0H':ƒNX13-®rs:QH':V|FZiK25NO8;N;-0798;:QKu‰sF!7—8;:Q168;L;Pv:·H+Rx8;N‹:46:ƒP0F)13-M25N

C …eS=jb5?-,y# '58*= RS7B ƒAZ1C ;5@x7@(6Q4?Bc' C 678&;c4@('562, J '58*= RS7Bx;4 ="=$(6A4@85VW6A4 B' B=jb5?S6

7354 G7-, J S67677-,S6

;/RSb&(767S=jS'+6

;5O@j7@(6A4 B'

B(4 678*7-,

Š/B'+67S.…eS=jb5?#5'*B=;5-, S678&;c4@('562,R

3*B="Bc'+T5=4 -,

aX‘\¯‘\')!p+&šm\'!\

T 161343-M;8;1f{S/…„]H+Rx8‹N;:Q43:ƒPŠF13-M25NO798;-•K2!4346:)/Ls25N HŒF¹P0F‡KP q: {}L;43-MzF-M43:5„’H+Rˆ8;N;:QF)8;1346:«{}258OH':QP0F‡zk¶:ƒz«:)„•46:ƒP0F)13-v2!N

C …eS=jb5?# Z7ƒAZ1C ;5[@j7@(6A4 B' BW4?68*7-,

4 '&;c4 8&W'+6 c8*‚RS68&;c4VW'+6Ib&B5,7,SU-;5‚S667OrB(4 678*7

µ :ƒzF4u798;:J¨ PŠF‡KP q: q:ƒ164uF)N;y‹Œ:ƒ46:QN;:V|F-v1DL F5/DLsF4613-v:JH':QPŠF‡KP q:VL‹43-vzF-v46:VHX:PŠF¹zk¶:ƒz«:D46:ƒP0F)13-M25N

¤’%$#«‘\X^ pj®"b\ia*p ›&p•”!\k"b\¢"b +b«‘\;\;”lkD!\'a£p+(£ +&\'aja*\mk

t 25PvPM:)K16-v25NAH':O/3Ku‰ q:ƒzF!/¹H':43:fP0F16-v2!Ns/¹:ƒ1IH':OK2!N'164uF-MN'16:)/‡H+Rˆ-vNX1 q:ƒy!43-v1 q:9€7—8‹-g43:fL;4 q:)/*:ƒNX13:ƒNX1¹PRx8;N;-@ :ƒ4u/V4 q:ƒ:ƒPnH'8

/¬‹/1fŒ:fz«:VHwRx-vNX|}2543zF13-M25N

¨v¨ K25NsH'-M13-M25Ns/?ŒF @&q:ƒ46- rs:f4L F4g16258;16:)/gPv:ž/43:fP0F16-v2!Ns/.¨XH :ƒLs:ƒNq H;FNsK::fN'1643:?F131643-M;8;1u/€'L;4 :)H'-ŠKƒF1&/8‹4DPv:)/q @ F)Pv:ƒ8‹4u/gHwRx8;N

258OL;Pv8s/*-v:ƒ8‹4u/DF161346-v;8;1–/DH':)/D138;L‹Pv:)/DH+Rˆ8;N;:V46:ƒP0F)13-M25N•€•‚ƒ‚f‚

F S=( c8*$# B'‹;c4@,A6Q4?'*)c8*>;5-,dB'+62†4 '+6-,,A62(6Q4c8*-, ;5T5'&(=4c8*-, J ,A8*d -,I678*b5 -, W6767A4 `*8*62, 7@(6A4 B'&, 4 '567S7. 7@(6Q4?Bc'&,

+ª)!p+(S5\"b\k%'aX‘\ 3_b)(S^ p+(5\

8‹N;:Q43:ƒPŠF13-M25NLs29/6/Œ:)H':J8;N;:JKP

q

:L‹43-vzF-v46:

C …eS=jb5?#u(676A4 `*8*6 ZƒZ[C b&B8*„Vj7@(6A4 B' C 678&;c4@('562,

+ª)!p+(S5\"b\ %'aX‘\ ‘\X!p+&šbm\'!\

P{:)/u„QF)131346-v;8‹1ƒ{S/u„JH+Rx8‹N;:43:ƒPŠF13-M25N¢2!N'1‡PŠFozk¶:ƒz«: / q

:ƒzFNX13-0798;:~7—8‹:«P0FdKP

q

:

L;43-MzF-M43:QK254346:)/Ls2!NsH;FNX13: H+Rx8‹N;:QF8‹1343:~{ 2!8oHX:PŠF[z²¶:ƒz«:)„ª46:ƒP0F)13-M25N

C …eS=jb5?# Z

ƒAZ1C ;5-,IVW6A4 B'&, BW4?68*7-,S6 C 678&;c4@('562,

+ª)!p+(S5\"n™ (S#‘\;š+)(S#‘\ ’‘\‹‘\'!\'(£\'aSa*\

PSRˆ:ƒNs/*:ƒz ‹P :JH':ž/

@

FPv:f8;4u/QH+Rˆ8;N;:IKP

q

: q

:ƒ164uFN‹y;Œ:ƒ46:‡:)/1Q-vN KPv8 H;FNs/V2!8

q

:ƒy9F)PDŒF¹PRx:ƒN /:ƒzI;Pv:nHX:)/ @ FPv:f8;4u/nH':QP0F‡KP:VL;46-vzF)-v43:?K2!4343:ž/Ls25NsH‹FNX13:q

C …eS=jb5?# r?S8*,

B(4 678*7-, suZƒAZ1C t r(† S8*2,

C 678&;c4@('+6, suZ7ƒAZ1C t ! 7]

+ª)!p+(S5\\'Z#(*”)!\'ª)(*\XaSa*\

Pv:ž/

@

F)Pv:ƒ8‹4u/DH+Rˆ8;NOF131643-M;8;1n/2!N'1?H

q

:r N;-v:)/bLs258;4V16258s/DPv:ž/138‹L;Pv:)/DHX:PŠF¹43:ƒPŠF16-v25N

C …eS=jb5?# r?S8*O;4 '&;/RS6S7=4 '&(6A4 B'

Z1Y %G% 4?'567S2;c4 67blB8*I ‚'*B= ;5OARS68&;c4VW'+6

+ª)!p+(S5\ "b\ "b +^lp+(S&\

L;4 :)K-0/-M25N/*8;4¹PM:«HX25zF)-vN;:~H':)/q @ F)Pv:ƒ8‹4u/¹HwRx8;NF)131643-v‹8;1«{}Pv-0/*13:I258-vNX13:f4 @ FPMPv:IH':

@ FPv:f8;4u/€'|}2543zF1u/€•‚ƒ‚ƒ‚u„

C …eS=jb5?-, #@"B85 S8*O;8*'*OrB(4 678*7O;5B(4 6%/S677:a7(8*'*[B8 B2('*)c1B87B8*)c J 8*' ;/RSb&W767S="S'56

;51'&4V,,7('&‚;8*'

R

S678&;c4@('56 Bc8‹;4 ="=$(67Q4V85@(6Q4?Bc' ;5OrcB(4 678*7

;5B(4 6 /S67<B=jb*A4@,IS'+67

K

S6

M !

+ª)!p+(S5\"b\¢º•p+a*\'$bO_gp+˜"I‘\6p+$b

@ FPM:ƒ8;4 ŒF Fw:)K13:f4‡ŒF«8;N²F)131346-v;8‹1VPv2!4u/VH':JPSRˆ-vNs/*:ƒ4316-v25N H+Rx8‹Nd138;L;PM:«{/-

PSRˆ-vNs/*13438 K13-M25NK2!4346:)/Ls25N H;FNX13:JN•RF+:žK13:QLsF!/.H': @ FPM:ƒ8;4 „

C

…eS=jb5?-,9#‹('*'IRS‚B8*2('567[b&B8*du('*'IRS‚;B`*67S'56A4 B'‹;8*'x;c4?b50/B=j

J ]]

b&B8*I ;iRSb&(76S="S'+6

+ª)!p+(S5\”$b$b)$b_ba*\=

L;4 :žH'-0KƒF)1Q{q 2!8 |}2546z 8‹Pv:5„z«:ƒ161uF)N'1b:ƒN‡Ÿ*:ƒ8L;PM8s/-M:ƒ8;4u/DF)131643-v‹8;1u/

C …eS=jb5?# ‚b*A4z…v;5OrS'567‚;8*' b*7B*;5854?6O;5B(4 6%/S677O,A8*b RSA4 S8*"U",AB' b*Q4{…v;73&W6

+ª)!p+(S5\ "b\ " ‘\X_n\'&"p+&%;\ 6 +&%')(* +b&\'aSa*\

@&q

:ƒ46- rwKƒF)13-M25N¯HX:)/¢H

q

:ƒLs:ƒN H;FNsK:)/i|}25N K13-M25N;N;:fPvPv:ž/i:ƒNX1346:

y546258;Ls:)/VHwRF161346-v;8;1–/

+ª)!p+(S5\"b\i& +)^ p+a(S#‘\

@&q:f43- r KƒF16-v25NH'8o46:)/Ls:)K1nHwRx8;N;:n|}2543z~:VN;2546zFPM:

+ª)!p+(S5\"b\k%;p+!"#(S&p+aS(S’‘\

s2!43N;:JL 2!8;4nPv:QN;25zI;46:QH':Q138;L‹Pv:)/DH+Rˆ8;N;:V46:ƒP0F)13-M25N

C …eS=jb5?# 8*' RS678&;c4@('56 '*9b&S8*6[b&,†rB(4 IB`*67S'58 b5 8&,O;5‚4 ' ;c4?b50/B=j-,

+ª)!p+(S5\ "b\#_n\¢_b’‘\'“u_n •”²%‹ +g"#(S)(* +

K25NsHX-v13-M25N

@&q

:ƒ43-®r

q

:ƒ:QLsF)4VP0F BDC

Pv2!4u/VH':I/*25N

q

: @

2!Pv8;16-v2!N•€+/*258s/

|}2546z«:QH+Rˆ8;N;:JK25N H'-v16-v25N:ƒGXL;PM-0K-M13:?F @ F)N'1f€;L :fNsH;FNX1n258OFL;4fŒ:)/D8;N;:Q25L :f4uF16-v2!NdH':Qz«-Š/:q ŒF·Ÿ*2!8;4

C …eS=jb5?-,d#O'*1,A8*b*b*Q4?=jS 8*';c4?b50/B=j

-,q4?'56A4 6785SR-, c8*1, 4_W8&8*' S678&;c4@('56:'*IuR B`*67S'58 J '4 '&,+RS7S:8*'*[rB(4 678*

c8*‚, 4GARS678&;c4@('56 854V>b&B+,7,SU-;5O-,A61;/RAa U>S'*7S)(4@,A67*R

´¢m\;š+a£\kp•%')(Sº\

F5K16-v25N {S/…„·ŒF¹:ƒG :)K8;16:ƒ4D/*8;-v16:~ŒF[8;NOKu‰sFN‹y5:ƒz«:fN'1&H+Rq :ƒ1uF)1nH':QP0Fq BDC

C

…eS=jb5? #n; U-, c88*'RS68&;c4VW'+6-,A6$,Q8*b*b*A4 = R J

,Q8*b*b*A4 ="S" -,rcB(4 678*7-, c84z1b&B5,7,SU-;5 S6>?-,;c4 b50/B="-, 84z<

Bc`*67S'+8&,

f8f8f

:ƒ1D132!8;13:JF)8;1346:

%; +!p+(S!\”_~‘\;%'( %ª$&\

Coq:rsN‹-v13-M25N

H BW4?S'56 S6 D ;5S85…ˆS'&,AS=`5 -,;uW6767A4 `*8*62, s '‹;c4 6 c8* ;/RS67S7=4 '* D

B8 D ;iRSblS'&;fB'&6A4 B'*'*z S="S'56<;5

'*Bc6eR D B2,c8*;5S85… 678*b5 -, c854‰B'56I8*'*O= /S=j1r(† S8*<,A8*„?-,[(676A4 `*8*62,I;5 4 ="b5z48* c84z@,B'56= /S="

r(† S8*‚,A8*I -,O(676A4 `*8*62,;5

D B8‹S'&B c8@U67B8*6Or† S8*‚;5

'-,A6<c,7,AB*4SR 88*'*‚S6[8*'*>,QS85?9r† S8*‚;5

DJ ;*('&,„67B8*67O…*67S'&, 4 B'x;5[Vj7@(6A4 B'

C … s # ƒ '+6Q4?601`*7S)c ƒ'+6A4 6SŠ/B="b5 S6

ƒ '+6Q4?6 ŠiB="b5 S6 ƒ '56A4 670[`*7S)

Z ƒ Z[C Z B= C 678 JuX Sb&W76 Z †4@,7, C 68

Z ƒ Z[CJƒ

'+6A4 670[`*7S) 0['*'*S

Z ƒ Z[CJƒ

'+6A4 6SŠ/B="b5 S6 01'*'*S

Zƒ ="=$W6SŠi354 G7-, JuZ7ƒ ="=$(6%S67677-, JuZQƒ ="=$W6 X Sb&(76 ŠiBc85?S8* JuZƒAZ1CdJuZ B= C 68 JuX Sb&(76 Z †4@,7, C 678

†#4325L‹43-

q

:f1

q

:)/DH':ž/.H

q

:fL :fNsH;FN K:)/|}25N K13-M25N;N;:fPvPv:ž/

µq: :ƒG'- @ -M1 :J¨q

&†r-

†]4625Ÿ*:)K16-v2!Nk¨

DJV D S6 V

TVH;H'-M13- @ -v1 :¹¨q

D S6 V DJV

T.8;y5z~:ƒN'1–F16-v25N ¨ D JV D

4–FNs/*-v13-@ -M1 q:‡¨

D S6 D V V

†/*:ƒ8sH'2!Ž 164uF)Ns/-M13-@ -v1 :I¨q

D S6 DJ| V J| V

g‰ :ƒ254fŒ:ƒz«:n¨)13258‹13:)/•Pv:)/Hq :ƒLs:ƒNq H;FNsK:)/ |}25N K13-M25N;N;:fPvPv:ž/+L :f8 @ :ƒNX1g¶:ƒ1346:gy :fNq :ƒ4q :f:)/gŒFnLsF4613-v4’H+Rˆ8;N¹:ƒNq /:ƒzI;Pv:]H+Rx:ƒNX1346:

:ƒPvPM:)/LsF)4DPv:)/gL‹4325L‹43-:f1q :)/DH':Q4q :s:ƒGX-q @ -v1 :9€XF8;y!z«:ƒNX1uF16-v2!N«:ƒ1D134–FNs/*-v16-q @ -v1 :q { 4fŒ:fy5Pv:ž/DH+RT.z/134625N;yX„

¬XLs25Pv2!y5-M:‡H':)/DH :ƒLs:ƒNsH;F)NsK:)/|}2!NsK13-M25N;N‹:ƒPvPM:)/q 9 m

t FN;2!N;-0798;:I¨

D -,A6*R-;5854 6U8*'v,QS85q(6767Q4?`*8*6

46-

@

-0FPM:‡¨

D

q

P q

:ƒz«:ƒNX1uF)-v46:Q¨

4z‰'…+4@,A679b&, 67 c8* D …+4@,A67

C

-v46:)K13: ¨ 4z‰'…+4@,A679b&,

V

6 c8*

V

…54@,A67

J V

D

…+4@,A6

J V

'…54@,A679b&,

,.¬XL :f43Ž}y54uF)L;‰;: H':)/DH :ƒLs:ƒNq H;FNsK:)/ |}2!NsK16-v25N‹N;:ƒPvPM:)/

H

Bc="="S62,[#&(667A4 `*8*62,

T5b&S7.g(S,O#&;/RSblS'&;*('&-,„fB'&6Q4?Bc'*'*{ -,

% |}:ƒ43z~:ƒ138;46:#134–FNs/*-v16-

@ : ;8*'S'&,AS=`5 „;5;/RSb&S'&;*('&-,fB'&6A4 B'*'*z -,IB'&, 4@,A67‚U[(b*b5z4c8*S ,QTe,A6*RS=$(6Q4c8*S="S'56

62('56 c8*‚@"-,Q6b&B+,,4 `5? @b*Bb*A4S6*RR <;59672('&, 4?6Q4?rc4 6*R

%

K258 @ :f43138‹43:nz«-vN;-Mz«F)Pv:

;8*'3+T5b&S.)2(b*3*‚;5O;iRSblS'&;*('&-,/fB'&6A4 B'*'*z -,[-,A6i8*' S'&,AS=`5 ‚;5‚;/RSblS'&;*('&-,

fB'&6A4 B'*'*z -, RSRS="S'+6†4 7-, riRSA4 ('56 c8u(8&8*'*;/RSb&S'&;*('& fBc'&6A4 B'*'*z?j'-,A67-;5Bc'&;*('+6

;/RSb&S'&;*('&

fB'&6A4 B'*'*z 9f

J < Sf

S6 8*967B8*67O;/RSblS'&;*('&9f Bc'&6A4 B'*'*z?-,A6[;*('&,/@fS7="S68*7O672('&, 4?6Q4?rc‚;5

C

…eS=jb5?#

NoImmatChiffres NoImmatDepart

NoImmatLettres

DepartNaissEtu NomEtu

NoINE

Annee IntitComplet

IntitAbrege Couleur

E.251–F16-v25N˜¨

F Š

J1J

Š

J 0 J1J

0

†r- Š J [J

Š

‚b*A4 =$4?;5R

F

†#43:ƒz«-Œ:ƒ43:D|}2546z«:VN;2!43zF)Pv:‡{

> EQ„

%_-,1(667A4 `*8*62,;8*'*OVW6A4 B'‹'* f†4@,7W'+6b&c,Ib&(76A4 ;5,7"SROb*A4 =$†4 7,QB'+6„fB'&6Q4?Bc'*'*{ S="S'56‚;/RSblS'&;*('56<;5[@

SROb*A4 =$†4 7;5S6767O7@(6Q4?Bc'

4 s s 8(8&8*'‹(6767Q4?`*8*6d3*B2,SRO'-,A6Ur(† S8*1=85 6A4 b5 blB8*[8*'*‚r?S8*O;5‚ R;5B'*' RS

Š J7J

Š 0 J7J

0

C

:ƒ8;GX-Œ:fz«: |}2!43z«:?N;2546zFPM:‡{

>

E„

K Z

R

SRS="S'+6(A4 6*R

%_-,‚(676A4 `*8*62,‚;8*'*7@(6A4 B' '*"fg†4@,7('56Ob&,Ob&W76A4 $;5 ,7‹SRjb*A4 =$†4 7$,ABc'+69S' ;iRSblS'&;*('&"fB'&6A4 B'*'*z RS.R

=jS'+624?‚-rc-dVjOb*A4 =$†4 7";5‚S6767OVW6A4 B'R

4 s s

84{L'Tˆ>b&,;5;/RSb&S'&;*('& fBc'&6A4 B'*'*z?S'5677O8*'*9b&(76A4 ‚;5O@Ob*A4 =$†4 79S68*'vW6767A4 `*8*6I3*B2,SRR

Š .Š

J7JŠ S60 167 c8*Š 0

4625-Š/-Œ:fz«:.|}2546z«:nN;2546zFPM:‡{

> E„

Z '*B' 672W'&,4 6A4 r4 6*R

%_-,‚(676A4 `*8*62,‚;8*'*7@(6A4 B' '*"fg†4@,7('56Ob&,Ob&W76A4 $;5 ,7‹SRjb*A4 =$†4 7$,ABc'+69S' ;iRSblS'&;*('&"fB'&6A4 B'*'*z RS.R

=jS'+624?‚;c4?-67†r-d@"SR9b*A4 =$†4 7;5‚S6767O7@(6A4 B'

4 s s 84{L'Tˆ>b&,;5;/RSb&S'&;*('& fBc'&6A4 B'*'*z?S'5677‚(667A4 `*8*62,I3*B, R

0 J

0 .-0 JJ

0

S60 : 0 67 c8*O0 0

A#«‘\‹ +;m\X^ \

2!8;13:Q43:fP0F16-v2!NoF!H'z«:ƒ1&8;N;:JH q:)K25z«Ls29/*-v16-v25NO/6FNs/DLs:ƒ4316: N‹-•43:)H'2!NsH;F)NsK: :ƒN134625-0/*-Œ:ƒz~: |}2!43z«:VN‹2543zFPv:

{ -Aˆ:*•798;:Ku‰sF5798;:F)131643-v‹8;1‡H+Rˆ8;N;:«46:ƒP0F)13-M25N¢N;:I|F-0/6FNX1¹LsF!/¹LsF4613-M:H':/6FdKP q:«L‹43-vzF-v46:‡N;:H q:fL :fNsH¢798;:H':

K:ƒ1316:QKP:V:ƒ1nH+RUF8sK8‹N;:JH':)/gLsF)4313-M:)/DH':JK:ƒ1613:JKPq :5„q

T.8;1643:)/|}2!43z«:)/bN;2546zFPM:)/

€

7B(4@, 4gUS="[fBc7="O'*B7=† ‚;5

P

B(TeS.AŠiB*;*;5.[S'56

0 =-0

JJ0$J Š Š

J7JŠ 67 8*90 Š

o 8&W67A4 US="[f B7=j1'*B=$†

ŠE4?' c854 US=" fBc7="['*B7=$†

6 =

N;: |}2!-0/‡PSRˆ:ƒNs/:fz ;PM:«HX:)/«H q:ƒLs:ƒN H;FNsK:)/ |}2!NsK16-v25N‹N;:ƒPvPM:)/ q:ƒ1uF);Pv-€#Pv:d/6K…‰ q:ƒzFo43:fP0F16-v2!N;N;:ƒPQ{/3Ku‰ q:ƒzF!/‡H':)/ 46:ƒŽ

P0F16-v2!Ns/V:ƒ1JK25NX134–F-vNX13:ž/HwRx-vNX1 :fy543-M1q :q H':«KP:)/VL;46-vzF)-v43:ž/q :ƒ1Q4 :|q :ƒ43:fN'16-v:ƒPMPv:f/…„q /:~H :)H'8;-M1JH':q PRx‰X¬'Ls:ƒ46Žy!4uF)L;‰;:~H':)/

H q:ƒLs:ƒNsH;F)NsK:)/•|}25NsK16-v2!N;N;:ƒPMPv:)/H':nK2!8 @ :ƒ43168;43:&z«-vN‹-vzF)Pv:* N : +:f1ƒ€)L 2!8;4DKu‰sF!7—8;: /2!z«z«:ƒ1•-MN'16:ƒ43N;: H':DPSRˆ‰'¬XLs:ƒ43Ž

y54uF)L;‰;:D2!N‡25;16-v:ƒNX1#8;N;:&43:ƒPŠF16-v25N H'25NX1#PŠFVKP:&L;43-MzF-M43:bK254346:)/Ls2!NsHq F)8I/2!z«z«:ƒ1•-MN'16:ƒ43N;:b:ƒ1’H'2!N'1#PM:)/F131643-M;8;1u/

‰;254–/KP

q

:IK2!4343:ž/Ls25NsHX:ƒN'1JF)8;G²/2!z«z«:ƒ1–/ rsPŠ/QH'8¢/*25z«z~:ƒ1D-vNX13:ƒ46N;:wH':IL;Pv8s/€+Pv:ž/VF161343-M;8;1–/K254346:)/Ls2!NsH;FNX1ŒF

H':)/D/2!z«z«:ƒ1–/ªrsP0/D798;-/2!N'1D:f8;G'Ž}z²¶:ƒz~:)/#H':)/n/2!z«z«:ƒ1–/#-vNX13:ƒ46N;:)/g/*25NX1VHX:)/DKP

q

:ž/

q

:ƒ164uFN‹y;Œ:ƒ46:)/

a

d

b c

B

A C

g

e f

;5Sr4 S'56

. *

*

) - *

-,A6I@ R‚;5O@7@(6Q4?Bc' .

-,A6I@ R‚;5[@"VW6A4 B'

* -,A6I@ R‚;5[@"VW6A4 B' )

r(† S8*2, .!

r† S8*2,

b&,7,7()c‚;8*' 3+T5b&S.)2(b*3*;5‚B8*rS7678*O=4 '54?=† >;5;iRSblS'&;*('&-,If B'&6A4 B'*'*z -,$U98*'x,773IRS=$9S'+6Q4?6*RS.g,7,QBe4@(6A4 B'

µ

Œ:fy5Pv:ž/

a

b

;5Src4?S'56

a b

a

b

...

;5Sr4 S'56

a b

?,1 ?,n

...

b

a c

d ...

;5Src4 S'+6

...

?,n ?,n ?,n

b

a c

d ...

µ :fzF4–7—8;:ž/

...

b

a c

d

...

b ...

a c

d

?,n

?,1 ?,1 ?,1

?,n ?,n

...

...

b

a c

d ...

...

;5Src4 S'+6

...

?,n

?,1

?,n ?,n

?,n

b

a c

d ...

†#4325‹PSŒ:ƒz«:

Š/B="="S'56IB`*67S'54

a b

?,n ?,n

T.8;1643:)/DH :fN;25z«-MNsF16-v2!Ns/q

w B*; U OS'56A4 6eRS.z4@†4@,AB'

w B*; U OB`*aAS67. 7@(6Q4?Bc'

w B*; U [4 '&;c4 r4@;58*

$&( &#!$ # % *

©

2XH+Œ:ƒPM:)/

@

25-Š/-vN /

w B*; U OB7)5('54@,7(6A4 B'*'*q;5-,d;5B'*' RS-,

w B*; U [ B)(4c8*;5-,[;5B'*' RS-,

w B*; U O7@(6A4 B'*'*

w B*; U O'&†r4 )+W6A4 B'*'*

w B*; U OB`*aAS6

œ 43-vy!-vN;:

K†M ! N #Š [CiZ

(=RSA4@S†4 '

K†M ! N #&w Y % ƒ Z9J&F 0 Z1X Z9JGH 0 D‚H DJH ‡&0 ŠŠi0O‡ ƒ C/€F 0 J&€ 0 FX[ƒACiY9J €dCiP Y % f 2(' S†4@,

E.2546zFPM-0/6F13-M25N

w B*; U ‚S67S'+8 b&(d $ $ &#%$&! !$&% -%!$)&#%$"b&Bc8*<;/R-A4 79?-,[,Abl-62,OB'&Sb*678*@,O,A6(6A48*-,[;5-,

;5Bc'*' S-,;*('&,R VB'&Sb*6A4 B'x;5-,,AT*,A6-US="-,I;4 '5fB=$(6A4 B'

µ

:fzF4–7—8;:ž/

w B*; U ‚B'&Sb*678*i;5-,;5B'*'IRS-,;5w

C/FIƒ7H+C S61;0

[ƒ

0O%

8*6Q4{:;5;c4@† B)8*9S'+67[4?'5fB7=(6A4@4 S'&,[S68*6A4zz4V,(67S8*2,

0[b*b*7B*73*;5-,7S'&;*('567

Y[)(S’‘\

-MNsH'-

@

-ŠH'8k2!825;Ÿ*:ƒ1IK2!NsK46:ƒ1¹2!8 F)s/164uF)-v1I798;-DLs29/3/Œ:)H':8;N;::ƒGX-0/*13:ƒN K: -MN'1643-MNs/Œ:)798;:I:ƒ1¹8‹N;:OK:ƒ431–F-MN;:

/1–F;-MPv-v1 :QLq :f43z«:ƒ161uF)N'1&H':QPv:Q46:ƒL :ƒ46:ƒ4DF)8dK2!8;4u/nH'813:ƒz~Ls/q

C …eS=jb5?-,9#ARS678&;c4@('+6 XOY1F 0 Z[XJ @rB(4 678*7[4 ="=(67A4@85 RS Z[€ *J ;c4?b50/B=j XOCiY

”5”! #%'(*p+)(* +

43:ƒy!43258‹L :fz«:ƒNX1DH+Rˆ:ƒN'16-v1 :)/bH;FNs/DPv:ž7—8;:fP•Ku‰sF5798;:Q:ƒNX13-v1q :Ÿ*2!8;:¹8‹Nq 4!¶25PM:L‹4 :)K-Š/q

C

…eS=jb5?-, # S678&;c4@('56"wR 0

FL€Iƒ Z

blB+,7,SU-;5"@xrcB(4 678*74 ="=$(6A4@85SR

!

!ˆ%0

! J

?-, S678&;c4@('562,wR 0

FL€Iƒ Z S6

XOY ‡I Z[X B'56I67B8&,;5S85…‹B`*6S'+8 8*'*w ƒ 0 1

7-,Ab&-6Q4?rcS="S'+6[S' K-M\ ‚S6 K-M\t

¸[! +_b)(X‘\'’‘\=

KƒF)4uF5K1

q

:ƒ46-0/16-0798;:QH+Rˆ8;N;:V:fN'16-v1

q

:?258dHwRx8;N;:JF!/3/2XK-0F16-v2!N

C

…eS=jb5?-,d#d?[;iRSb&(76S="S'+6:;5'&†4@,7,('&1;5/S678&;c4@('56R

XOY[F

0

Z[X -,A6

]c]*J

@OB85 S8*;5/@OrB(4 678*i4 ="=(67A4@85SR

!

!‚%0

!‚-,A6B8*)

J

4 '56A4 6785 Bc="b5 S61;58v;c4 b50/R B="

XOY[€

-,A6

X

4 b5Bc="/

Y

'54 rS2,4?6†4 7;5

€

-3*'*B( B)(4

µ :ƒzF4u798;:J¨ 8‹N;:QL;432!L;43- q:ƒ1 q:Q:)/*1nH q:)/-My5N q:f:L F4D8;N g +^

:ƒ1D8;N‹:

º p+a*\'$b

H Bc' 6 T5b&OblS8*6 /S677O, 4 ="b5 J ,A6778&68*eR[B8 *RSb RS6A4 6A4zf

’_n\¢"b\k_b5 +_b)(X‘\'’‘\;” u +$ _b5 +_b)(X‘\'’‘\'“u#_n\

N;2!z H+Rx8‹N;:QL;432!L;43- :ƒ1q :q

C …eS=jb5?-,I#E ;/RSb&(767S="S'56‰;5/'&†4@,7,7('&;5-,ORS678&;c4@('562, J @[B85 S8*i;5-,GrcB(4 678*7-, J 4 '56A4 6785 RB="b5 S6:;5-,:;c4 b5 /Bc="-, J

uW'*' S‚;R B`*6S'+6A4 B'‹;5-,[;c4 b50/B="-,db&(I -, S678&;c4@('562,R

µ :ƒzF4u798;:I¨K2!N'164uF-MN'16:)/VH+R

$b(£%'(S’‘\

/*8;4QPv:)/ @ F)Pv:ƒ8;4–/VH':)/nL;432!L;43-:ƒ1q :)/J{q 132!8;13:IL;4625L;46-:ƒ1q :‡L;43:ƒNq Ho8;N;: @ FPM:ƒ8;4

:ƒ1V8;N;:I/*:ƒ8;PM:5„g:f1QH+R

‘

\XaX‘\'^l\'ª!p+)(S’‘\

/*8;4QPv:)/D1*¬'Ls:)/VHX:‡L;432!L;43-:ƒ1q :)/J{q :ƒNX13-M:ƒ4ƒ€;4 :ƒ:ƒPS€ss2925Pq :ƒ:ƒN•€•KfF4uF!K1fŒ:f43:9€s13:ƒGX13:¡€q

H;F16:9€•‚ƒ‚ƒ‚*zF-Š/LsF!/ 1–F;PM:)F8 €s/13468sK168;43:9€•‚f‚ƒ‚…„

’_n\ "n™v\')(S#‘\;” u +$ \'(#‘\X“u#_n\

:ƒNs/*:ƒz ‹Pv:JH+Rx:fN'16-v1 :ž/.Hq :rsN;-v:ž/.LsF4Q8;Ndz²¶:ƒz«:V:ƒNq /:ƒzI;Pv:JH':‡1*¬XLs:)/VH':

L;432!L;43-:ƒ1q :ž/ªŸ*258sF)N'1n8;No4!¶q 25PM:V-0H':fN'16-0798;:V:ƒ1D46:ƒL;4 :ž/:ƒNX1uF)N'1&8;N;:JKP0F!/3/*:Nq F138‹43:ƒPMPv:QH+Rˆ25;Ÿ*:ƒ1–/

C

…eS=jb5?-,9# -,d6 T5b&-,d;S'+6Q4?6*R-,

C

678&;c4@('562,

J

B(4 678*7-,dS6

X

4 b5 /Bc="-,

’_n\¢"n™vp•”5”! #%'(*p+)(* +&” … +$p•”!”5 #%'(£p+(£ +“u#_n\ -

:ƒN /:ƒzI;Pv:?H+RUF5/3/*2XKƒF16-v2!Ns/VFƒ¬XFNX1gPŠF¹zk¶:ƒz«:n/ :ƒzFNX13-Š7—8‹:q

C …eS=jb5?-,#‡LB5,7,A-;5S[S'+67‚ -,[6AT5b&-,[;S'+6Q4?6*R-, C 678&;c4@('562,dS6 B(4 678*-, J 01rcB(4 S`*67S'58vS'5677 -,[6 T5b&-,O;S'+6A4 6*R-,

C 678&;c4@('562,IS6 X 4 b50/B="-,

µ :ƒzF4u798;:˜¨ 1*¬XL :ž/ HwRF5/6/2XK-ŠF16-v25N / ;-MNsF-M43:²258

+

ŽF-v46: {}-Aˆ:*z~:ƒ131–FNX1«:ƒNŸ*:ƒ8H':ƒ8;G 2!8`L‹Pv8s/*-v:ƒ8;4–/«1¬XLs:)/

H+Rx:ƒNX13-M1

q

:)/€•H':

"#(S^l\'&”(* +

258

+

„–€ª4

q

:s:ƒGX-

@

:{}-Ax:e z~:ƒ131–FNX1:fNoŸ*:ƒ8F)8 z~25-vN /¹H':ƒ8‹Gi|}2!-0/PM:«z²¶:ƒz~:¹1*¬'Ls:

H+Rx:ƒNX13-M1 :)/u„q

j.(*\'

K2!8;L;Pv:Q1*¬XL :·H+Rx:ƒNX13-M1 :)/b:ƒ1D1*¬'Ls:JH+RUF5/3/*2XK-0F)13-M25Ns/€+H'2!N'1DPŠF‡/-My5N;-®rwKƒF16-v2!No:)/*1nH'25N;Nq :ƒ:QLsF4nPv:q +a*\

p+5"#(S&p+aS(#‘\‹”

Ls258‹4V8;NdPv-M:ƒNdHX25N;N :¡€q N;2!z ‹43:Qz«-vN‹-vz‡8;z

u%;p+!"](gp+a(S#‘\k^`((^ p+a*\

:ƒ1VzF)G'-Mz‡8;z

…%‹p+“

"#(S&p+aS(S’‘\¢^ p+Z#(^p+a*\

H+Rˆ2XKƒK8;46:ƒNsK:ž/DH'8d1*¬'Ls:‡HwRF5/6/2XK-ŠF16-v25N /.Ls258 @ FNX1Q:ƒGX-0/16:ƒ4DLs258;4?8;N;:‡/*:ƒ8;PM:¹2XKƒK8‹43:ƒNsK:‡H'8

1*¬'Ls:JH+Rx:fN'16-v1 :ž/q

{ - x:*sPv:)/nN;25zI;43:ž/ z«-MN;-vz‡8‹z F8²z«25-MNs/ :ƒ1VzF)G'-Mz‡8;z F8dL;PM8s/ HX:)/QKƒF4–H'-vNsF)8;GdHX:)/.-vzFy5:ž/VH':‡PSRUFL;L‹Pv-vŽ

KƒF16-v2!Nd798;-+|F-M1nK254643:)/*L 2!NsH'46:ŒF‡8;N

q

:ƒP

q

:ƒz~:ƒN'1&H'81*¬XL :JH+Rˆ:ƒNX13-v1

q

:)/PM:)/

q

:ƒP

q

:ƒz«:ƒNX1u/bH':)/DF)8;1346:)/D1¬XLs:)/DH+Rˆ:ƒN'16-v1

q

:)/g798;-•Pv8‹-

/2!N'1n43:ƒPM- :)/bLsF4nPv:?1¬XLs:JH+Rq F!/3/2XK-0F16-v2!Ns/…„

§ FkKƒF)4uH'-MNsFPM-v1 q:«z«-vN‹-vz~FPv:‡L‹43:ƒNsH¢Ls258‹4 @ FPM:ƒ8;4

0

2!8

1uF)NsH'-Š/‡7—8;:~P0FdKƒF)4uH'-MNsFPM-v1 :~zFGX-vzF)Pv:‡L;46:ƒNsH¢Ls258;4q

@ F)Pv:ƒ8‹4

258 + { +

Ls2!8;4.L‹Pv8s/*-v:ƒ8;4–/…„

C …eS=jb5?}# %-,‹SW2;c4 '&†z4?6*R-, =4 '54 =$† S6 =†…+4 =$?;58 z4 S' S'5677 6 T5b&;S'56A4 6*R-, C 678&;c4@('562, S6 6AT+bl

;,7,AB*4@(6A4 B'&,I‡LB+,7,A-;5SI,AB'56i7-,Qb&-6A4 rS="S'56

S6

s5C ' _S6

J

4z‰,A8X$6;5<3*B(4@, 4 / -,I`&B'*'*-,d*X$7=$W6A4 B'&,Lb&(7=4

-,[,A854 r('567-, s

Y

' RS678&;c4@('56blS8*61'*9b&,Ib&B5,7,5R-;5S[;5‚rB(4 678*

S(2;c4 '&†z4 6*R9=4 '54 =$†

Bc8‹`54 S'‹67Bc8*6ˆRS678&;c4@('56blB+,7,SU-;5

(8 ="B(4 '&,d8*'*‚rBW4?68*7

S(2;c4 '&†z4 6*RO=4 '54?=† K

€ Bc8*6RS678&;c4@('56‰blB+,7,SU-;5(8b5?8&,E8*'*rB(4 678*

S(2;c4 '&†z4 6eRI=$†…54 =$† K B8`54 S'"8*'RS678&;c4@('56‰blS8*6ib&B5,7,5R-;5S

b5 8&,4 S8*2,[rB(4 678*7-,

S(2;c4 '&†z4 6*R9=$†…54 =$†

t P0F!/3/-®rwKƒF)13-v2!NdH':ž/gPv-v:fNs/DH+Rx8‹N 1*¬XLs:¹HwRF5/6/2XK-ŠF16-v25N / ;-MNsF-M43:

% 4?S'&, K # K

8*' U8*' #5 -,[;5S85…vS(2;c4 '&†z4 6*R-,d=$†…54 =$† -,IB'56blB8*r?S8* K

4 s s

c8@UO8*'*[BeS8*S'&<;5d8*'ˆ;5-,/;5S85…$6AT+bl-,I;S'+6Q4?6*R-,Lb&S8*6B7-,Ab&Bc'&;571b&W: 16AT5b&1;,7,AB*4@(6A4 B'&,iW8$b5 8&,

8*'*9BeS8*S'&;5OuW8*677O6AT+bl‚;S'56A4 6eR-, J S6*R-4 b*7B 8*S="S'56

% 4?S'&,

K #

8*' U b5?8&,4?S8*,

#c8*'*‚;5-,I;5S85…ˆS(2;c4 '&†z4 6*R-,„=$†…54?=† -, b&B8*Ir(† S8*

K

62('&;c4@, 8*du(8*677OOblB8*

r(† S8*

4 s s c8@UO8*'*[BeS8*S'&<;5d8*'ˆ;5-,/;5S85…$6AT+bl-,I;S'+6Q4?6*R-,Lb&S8*6B7-,Ab&Bc'&;571b&W: 16AT5b&1;,7,AB*4@(6A4 B'&,iW8$b5 8&,

8*'*OB*S8*7S'&‚;5[u(8*6716AT5b&‚;S'56A4 6*R-,

J

=$4V, c8@U98*'*OBeS8*S'&;5O?854 .g4 B7-,Ab&Bc'&;"b5 8&, 4 S8*2,[B*S8*7S'&-,

;58 b*S=4 S16AT5b&;S'+6A4 6*R-,I4?6*R

% 4?S'&,

#

b5 8&, 4 S8*2,"U>b5?8&, 4?S8*, #e?-,[;5S85…vS(2;c4 '&†z4 6*R-,=$…+4 =$† -,IBc'+6blB8*r(† S8*

4 s s c8@Ud8*'*iB*S8*7S'&1;5/8*'";5-,‰;5S85…6 T5b&-,L;S'56A4 6*R-,b&S8*6iBc77-,AblB'&;57ib&WG I6AT+bl ;u,,ABe4@(6Q4?Bc'&,Lb5?8&,4?S8*,

B*S8*7S'&-,[;5Ou(8*67O6AT+bl‚;S'+6Q4?6*R-,

J

S6*R-4 b*7B c8*S="S'56

ƒ"b\'(4gp+

1*¬'Ls:9{/…„?H':IL;432!L;43-:ƒ1q :~H'25NX1¹PM:)/q @ FPv:f8;4u/VLs:ƒ43z~:ƒ1316:ƒN'1?H':HX-0/16-vN;y!8;:ƒ4Q132!8;13:ž/Pv:ž/·2XKfK8;43:fNsK:)/QH'8

1*¬'Ls:JH+Rx:fN'16-v1

q

:ž/gK2!4343:ž/Ls25NsH‹FNX1

C

…eS=jb5?-, #"'58*= S7BR

ƒ Z[C

;5-,RS68&;c4VW'+62,

J

'58*= S7B;R 4 ="=$(6A4@85VW6A4 B'‹B="b5 S6 354 G7-,

J

S67677-,/S6;iRSb&(67S="S'56

;5-,„rB(4 678*7-,

Š/B'+67S.…eS=jb5?#5'*B=;5-, S678&;c4@('562,R

3*B="Bc'+T5=4 -,

F

S=$( 8*‹# 4@;5S'56A4 ('+6";8*' 6 T5b&";uc,7,AB*4VW6A4 B'&,‚,B`*6A4 S'+6[4 ="b5z4@4 67S="S'56"b&(‚B=jb&B+, 4 6A4 B' ;5"67B8&,d -,

4@;5S'+6A4 ('562,[;5-,6AT5b&-,;S'+6A4 6*R-,/7z4-,R

§ :

"](£%')(* +bgp+(5\d"b\;”~" +b~‘\;\;”

:)/*1g8;N‹:46:ƒL;4 :)/:ƒNX1uF)13-M25NI13:ƒGX138;:fPvPv:?H':V16258;16:)/PM:)/-MN'|}2546zF16-v2!Ns/bH+Rx8;NO/*¬;/*1ƒŒ:ƒz«:q

H+Rx-MN'|}2546zF16-v2!N;-vP’/: /8;wH'-@ -Š/:‡:ƒNO13432!-0/V/*258s/*ŽSHX-0K16-v25N‹NsF-M43:)/.Ls2!8;4VPv:ž/ 1*¬XL :ž/VH+Rx:fN'16-v1 :ž/€'PM:)/D1¬XLs:)/VH+RUF5/6/2XK-ŠF13-M25Ns/q

:ƒ1DPv:ž/g1¬XLs:)/DH':QL;4625L;46-:ƒ1q :)/q

§ :

”5%$#~‘\'^lp¯\'(#‘\X“p•”5”5 ’%'(*p+)(* +

:)/1I8;N;:O43:ƒL‹4

q

:)/*:ƒN'1–F16-v25Ny!4uFL‹‰;-0798;:²H'84

q

:)/*8;Pv1–F1~H':oPŠFiz«2XH

q

:ƒPv-Š/3F16-v2!N H'8

/¬‹/1fŒ:ƒz«:QH+Rˆ-vN'|}2!43zF)13-M25N

cardinalité minimale , cardinalité maximale type d’entité

types de propriété hors identifiants types de propriété identifiants

types de propriété type d’association

...

F S=( c8* # b&($B="=jBe;c4 6*R‹;5 @('*)+()c J -,"67S="-,S'56A4 6eR J c,7,AB*4VW6A4 B' J b*7Bb*Q4 RS6*R ;/R-, 4?)c'*S'+67-,Abl-6A4 rS="S'56" -,

67S="-,I6AT+bl;S'56A4 6*R-,

J 6 T5b&‚;,7,AB*4@(6A4 B'&,

J

6AT5b&‚;59b*7Bb*A4SRS6*R-,

b&,7,7W)‚;8*'‹,73 S=$9S'56A4 6*RR S.gc,7,AB*4VW6A4 B' U8*'v,73IRS=$97@(6A4 B'*'*:S' 677B(4@,4gUS=j[f B="O'*B7=$?

V5p+&” 3 +)^lp+)(* +"\²5 +$&”«a*\;”«#_n\;”"n™v\')(S#‘\;”\' 5\Xa*p+)(* +&”

Y Z X

H': @ -v:ƒNX1

9 {Im €L²„

m :)/1DPŠF KP q:QH':QP0F¹46:ƒP0F)13-M25N 9

%"6AT5b&";S'56A4 6eR-,[;5Sr4 S'56O@7@(6A4 B'

J

-, 6 T5b&-,O;5jb*7Bb*A4SRS6*R-,/4@;5S'56A4 ('+6,‚;5Src4?S'*'*S'569 -,O(6767A4 `*8*62,O;59@

R J -,d6 T5b&-,d;5‚b*7Bb*Q4S6*RR -,E3*B2,/4@;5S'56A4 ('562,1;5Src4 S'*'*S'+6[ -,[(6767Q4?`*8*6,I3*B2,IR

V5p+&” 3 +)^lp+)(* +"\²5 +$&”«a*\;”«#_n\;”"n™vp•”5”! #%'(*p+)(* +&”I"b\kaS(*\'&” \' !\'a*p+)(* +&”

,n ,n

Y1 Z1 X1

Y2 Z2 X2 Z

X

HX: @ -M:ƒNX1

9

{Im

€m

€Lk„

"!$#%&('*)"+

"!$#%&('*)",

{Im

€&m

„b:ž/1DP0F‡KP

q

:QH':QPŠF[46:ƒP0F)13-v2!N

9

@ F)Pv:ƒ8;4–/{ 9 m „ 4 @ FPM:ƒ8;4–/{9 m „

@ F)Pv:ƒ8;4–/{ 9 m „ 4 @ FPM:ƒ8;4–/{9 m „

%‹6AT5b&x;u,7,AB*4@(6A4 B'&,";5Src4 S'+6@ '*B8*rz x7@(6A4 B' ;5Bc'+6@ ‹-,Q6$B="blB+,5RR S‹;5-,j6AT+bl-,";5‹b*Bb*A4S6*RR -,

4@;5S'+6A4 ('562,;5-,„6 T5b&-,d;S'+6Q4?6*R-,ic,7,AB*4-,/S6R c854‰*R-8*b_US7[B="="O(6767Q4?`*8*6,i3*Bc2,I[ -,I6AT+bl-,R ;5Ob*Bb*A4S6*RR -,

;58x6 T5b&;u,7,QBe4@(6A4 B'&, &;5b5?8&,

J

;5-,1B'56724?'567-,[;4 '+6*RS)A4 6*R1*RfRS7S'56A4 z?-,O,QB'+6U$B'&, 4V;/RS7S[b&B8*O73& 8*

(6767Q4?`*8*6"B=jb&B+,7W'+6 V ˆ;5@R '*B8*rz ‹VW6A4 B'7@(6A4 rS="S'56"(85… -,;5-,‚VW6A4 B'&,94@,7,A8*-,";5-,>6R T5b&-,

;S'56A4 6eR-,

V5p+&” 3 +)^lp+)(* +¯"b\k! +$&” a*\‹” #_n\;”"n™vp•”5”! #%'(*p+)(* +&”«"b\kaS(£\'&”.- \'p+))(S›b$b!”d”$b_b_baX‘\'^l\'b“

!p+(S!\;”

,1 ,n

Y1 Z1 X1

Y2 Z2 X2 Z

X

HX: @ -M:ƒNX1

€m

€L

"!$#%&('*)"+

"!$#%&('*)",

@ F)Pv:ƒ8;4–/{ 9 um

„ 4 @ FPM:ƒ8;4–/{9 m „

%-,I6AT5b&-,I;51b*Bb*A4S6*RR -,L4@;5S'56A4 ('+6,;58$6AT5b&‚;S'56A4 6*R-,L4 ="b5z4 8IR‚;*('&,/ z4 S'

B'&,Q6A4 678*S'+6I8*'*‚SR S62('*.R

)&USOb&B8*[@7@(6A4 B' 4@,7,A8*";58x6AT+bl;S'56A4 6*R-,I4 ="b5z48IR";*('&,d ‚z4 S' †K

S6[S'*)S'&;57";5B'&98*'*"B'+62†4 '+6

;4 '+6*RS)A4 6*R1*RfRS7S'56A4 z?

-,d6AT+bl-,;5Ob*7Bb*A4SRS6eR-,I;58‹6AT5b&‚;uc,7,AB*4VW6A4 B'&,,A854 rS'56 9= /S="[="B8*rcS="S'+6

ŠiS6† )BA4 673*=" b*Be(U-;5$S' ;5S85…b&,7,A-,

J

8*'* b&B8*>?-,>6T5b&-,j;S'+6Q4?6*R-,9S69(8*677 blB8*9?-,j6AT+bl-,;u,7,AB*4@(6A4 B'&,

blB8*x -,x672W'&, fBc7=$(6A4 B'&, ;5-, 6 T5b&-,x;uc,7,AB*4VW6A4 B'&,

J

eR-,A85 62W6‹B`*67S'58nb&(yV b*7S=4US7 b&,7,Q -,A6†4 '&, 4R-A4 6 #

/*0132465(7098,16/:67;24<>=%4?/*@BAC=*4?<+DE=F2(/:F/HG=%4

r(† S8*2,

0 suP r† S8*2,

Š suX ,4 )'54 & c8*[S'&,AS=`5 ‚;5-,Ir† S8*2, 8*OblS8*6 b*S'&;57[u(6767Q4?`*8*6 P ;5dV>7@(6A4 B' 0 -,A6

4 '& 8B8nRS)+†1UjS'&,AS=`5?‹;5-, r† S8*2, c8*"b*7S'&; uW6767A4 `*8*6 X ;5@ 7@(6A4 B' Š J S6‚-4‚U 67B8*6O=jB="S'56"#l4{,u()W4?6

;8*'*B'5672†4 '567‚;4 '+6*RS)A4 6*R1*RfRS7S'56A4 z?$U>7-,Ab&-6S

%-,[B'5672†4 '567-,;4 '56*RS)cA4 6eR1,Q854?r(('567-,1, u(b*b5z48*S'56"#

8*'54@4 6*R;5‚3& 8*R

b*A4 =$4?

b&c,;4 '&;iRS67S=4 '&(6A4 B'‹blB8*13& c8*(676A4 `*8*6„Bc="b&B+,('+6„VjR b*Q4?=†4 7

b&c,;4?'&;/RS67S7=4 '&(6Q4?Bc'b&B8*"3& 8*‹W6767A4 `*8*6"B="blB+,7('56O@SR}RS62('*)&US7", 4I?z4 S' B7-,Ab&B'&;*W'+6";5="S69@

r(† S8* K b&B8*1,"S(2;c4 '&†z4 6*R9=4 '54 =$†

¬XLs:¹HwRF5/6/2XK-ŠF16-v25N / +

ŽF-M43:I{SF @ :)K +n

„&H':QPv-M:ƒNs/

+ ¨ +

¨;‚ƒ‚ƒ‚s¨

+

,n ,n

Y1 Z1 X1

Y2 Z2 X2

Z X

Yn Zn Xn

,n

...

...

;5Src4 S'+6

<>= =G

<>= =G

sss

2 2

2

<>= =G 2

DK"J D J J*D ' J V

DK"J*D

JJ*D '

-,A6I@‚;5[@"VW6A4 B'R

r† S8*2,

sDK r?S8*,

KsDK

r† S8*2,

sD r?S8*,

sD

sss

r† S8*2,

sD '

r† S8*2,

' sD '

¬XLs:¹HwRF5/6/2XK-ŠF16-v25N /.;-vN F-v46:V4 :qs:ƒGX- @ :?H':QPv-v:fNs/

+ ¨ +

,n

,n

Y’

Z’

X’

Z X

b a

;5Src4 S'+6

D D D

<>=! =G D

D

J5D `

J V

r?S8*,

sD

r?S8*, sD

r?S8*,

sD ` r(† S8*2,

sD

G#"9%$ K17'& @AG?7D;K @DN)(G+*K1@

¬XLs:¹HwRF5/6/2XK-ŠF16-v25N /.;-vN F-v46:V4 :qs:ƒGX- @ :?H':QPv-v:fNs/

¨ +

,1

,n

Y’

Z’

X’

Z X

b a

;5Src4 S'+6

D D D J D ` J V

D =%49/(1, G=?<(=->1 0=.>16/:67;2 D

r?S8*,

sD `

r?S8*,

sD

G#"9%$ K17'& @AG?7D;K @DN)(G+*K1@

¬XLs:¹HwRF5/6/2XK-ŠF16-v25N /.;-vN F-v46:QF @ :)K.8;NOPv-M:ƒN«-0HX:ƒN'16- rwF)N'1

1,1

Y1 Z1 X1

Y2 Z2 X2 Z

X ,n

;5Sr4 S'56

/ J+D

JDV

0 /

DK"J D -,A6I@"‚;5R Vj7@(6A4 B' K

=*46/(1!. =G <>=1(1.0=.(19/:67;2

r(† S8*2,

KsD r† S8*2,

sD

¬XLs:¹HwRF5/6/2XK-ŠF16-v25N /.;-vN F-v46:QH':QPv-M:ƒNs/

¨

1,1

Y1 Z1 X1

Y2 Z2 X2 Z

X 1,1

;5Sr4 S'56 K

DK"JDVLK"J5D J V

JDV

DK

-,A6„V‚;5R V>7@(6A4 B'

K

8*'54@4 6*R;5 KsD

b&c,1;4 '&;/RS67S7=4 '&(6A4 B' blB8* KsD

¬XLs:¹HwRF5/6/2XK-ŠF16-v25N /.;-vN F-v46:QH':QPv-M:ƒNs/

¨ 0

1,1

Y1 Z1 X1

Y2 Z2 X2 Z

X 0,1

;5Sr4 S'56

/ J*D

JDV

0 /

=*46/(1!. =G <>=1(1.0=.(19/:67;2

=*46/(1!. =G <>=1(1.0=.(19/:67;2

r(† S8*2,

KsD r† S8*2,

sD

8*'54@4 6*R;5 KsD

b&c,1;4 '&;/RS67S7=4 '&(6A4 B' blB8*

KsD

¬XLs:¹HwRF5/6/2XK-ŠF16-v25N /.;-vN F-v46:QH':QPv-M:ƒNs/

0 ¨ 0

0,1

Y1 Z1 X1

Y2 Z2 X2 Z

X 0,1

;5Sr4 S'56

/ 1

0

DK"J*D JDV

=*46/>1. =?<>=-(1G 0=>19/C:9792

=*46/>1. =?<>=-(1G 0=>19/C:9792

DK -,A6„Vj;5[@j7@(6A4 B'R

r(† S8*2,

sDK

r† S8*2,

KsDK

r(† S8*2,

sD

r† S8*2, sD

8*'54@4 6*R;5 sD

b&c,;4 '&;iRS67S=4 '&(6A4 B'‹blB8*

sD

B8

J+D

JDV

=%49/(1. =G <>=->1 0=.(19/:67;2

=%49/(1. =G <>=->1 0=.(19/:67;2

r† S8*2,

KcsD

r† S8*2,

sD

8*'54@4?6*R;5 KcsD

4 '&;iRS67S7=>4?'&W6A4 B'‹blB8* KsD ",4‰S61,QS85?S=jS'+6O, 44 '&;iRS67S7=>4?'&W6A4 B'‹blB8* KsV

< 258 /Ž}1¬XLs:‡H+Rˆ:ƒNX13-v1 q:)/

Y Z X

Z1 X1

Z2 X2

Z’

X’

;5Sr4 S'56

0

K

D J V‰K

D J V

DJDV

=*46/(1!. =G <>=1(1.0=.(19/:67;2

D

-,A6I@"SR‚;5O@"VW6A4 B'

K

D -,A6I@"SR‚;5O@"VW6A4 B'

D -,A6I@"SR‚;5O@"VW6A4 B'

r(† S8*2,

KsD

r(† S8*2,

sD

r(† S8*2,

sD r(† S8*2,

sD

r(† S8*2,

sD

r(† S8*2,

KsD

< 258 /Ž}1¬XLs:‡H+RUF5/6/2XK-ŠF13-M25Ns/

i,j

Y1 Z1 X1

Z X

Y3 Z3 X3 Z’’

X’’ i’’,j’’

Y2 Z2 X2 Z’

X’ i’,j’

R

c854 r† S'56>U

Y1 i,j

Z1 X1

Y3 Z3

i’’,j’’ X3 Y2 Z2

i’,j’ X2 Z

Z’

X’

Z Z’’

X’’

i,j

*>= @:KG?;K@AG+*9 7A<G??K1@:7 "= N:K17AK1?l<PN 9 K@A< *K%?lGI N:K%;K1?7A<7K1@%;K b"? G?%*<K1K1@ "= ; K1@DK1?7:<P7K1@%; K%W M3=ON */=@:@AG<>=7:<PG?K1@:7

7:N "K1@=O< *PK

;<@F9 7Q=.*K "=G?NAG?7:K1N%=KLU%^! #"JLK1@A<%$?lGNHM3=ONHK'& K1IM.*K(

C …eS24@ #*67B8*rS/u† )BA4 673*=jO4 '+rcS2,A

J J J

œ 43-vy!-vN;:

K†M ! # Cs s Šd XOX

œ

;Ÿ*:ƒ1

w B*; U ‚,A62W6A48*‚;5-,d672†4 67S=jS'+62,

†#43-vN K-vLs:

H (b*b*854 ,A8*1;5-,[;5B'*'IRS-,,A67B*!2/RS-,I,ABc8&,/f Bc7="O;5‚7@(6A4 B'&,

f

s

?73&Wb54?67O4 '56A4 6785R

# % &#!$&$

U

0 @"`&c,A‚;5O'*B=`*7S85… @('*)+()c-,;5O7c8 /S67-, %

µ :fzF4–7—8;:ž/

%_‚*R-,A85 62(6;5O67B8*67OBcb S2(6Q4?Bc'$-,A6d8*'*‚'*B8*rz 7@(6A4 B'R

€ B8*67-, ?-,dBbIRS2(6A4 B'&,I,uWb*b5{4c8*S'+6"U9S'&,AS=`5 ";5-,I678*b5 -,[;5-,7@(6Q4?Bc'&,

E.251–F16-v25N /

3 (

-,A6I ,773IRS=$;5O@7@(6Q4?Bc'

8

g

3

-,A6„?,73 RS=$;5O@VW6A4 B'

.l-,A68*'‹,AB8&,Q.S'&,AS=`5?";5

. -,A68*'v,QB8&,A.S'&,AS=`5 ;5

-,A6IS'&,QS=`5 ";5-,(667A4 `*8*62,B=j=8*'&,9U S6U

>-,A6I8*'*B'&;c4 6A4 B'

G':ƒz~L;Pv:J¨

(aAB8*67B'&,E -,VW6A4 B'&,S6„?-,[B'5672†4 '567-,;4 '56*RS)cA4 6eR1,Q854?r(('567-,Uj{ -,O;5[…*S="b5 aAB8*S6

C

'&,A4 )'&('562,

ZC '&,

Z

B=

C

'&,

X

Sb&(6

Z

4V,,

C

'&,

t XOY[F

0

Z1X ]]

K

%0 Š

Y1F

F Y

Š/B'&;5854 7

Z ƒ Z[C Z ƒ="=$(6SŠ/354 G7-, Z ƒ="=(62%S6767-, Z ƒ ="=$(6 X Sb&W76

t ]]]] P ]]

\ ]]]] P ]]

‡

t ‡ B7=$(6Q4?Bc'&,

4z{ ƒ '+6Q4?601`*7S)c

P FXOC

0

Y P

0OŠ

P FXOC 0 Y XOY[€

P FXOC

0

Y XOC/Y

P FXOC

0

Y

w ƒ0 1

0 CiZ P 0OŠ

0 CiZ XOY[€

0

CiZ XOC/Y

ZC '&,I-,A6„V‚;5[@j7@(6A4 B'R C '&,A4 )'&('562,

Z ƒ Z[C J&Z ƒ

="=$W6SŠi354 G7-,

J&Z ƒ

="=$(6%S67677-,

J&Z ƒ

=j=$(6

X

Sb&(6

-,A6I@"‚;5R Vj7@(6A4 B'xŠ/B'&;5854 7

r(† S8*2,

Š/B'&;5854 7 suZƒ Z[C r† S8*2,

C 678&;c4@('562, suZƒ Z[C

r(† S8*2,

Š/B'&;5854 7 suZ

ƒ ="=$W6SŠi354 G7-, JŠiBc'&;5854? suZ

ƒ=j=$(62%S6677-, JŠ/B'&;5854 7 suZ

ƒ ="=$(6 X Sb&W76

r(† S8*2,

BW4?68*7-,

suZSƒ

="=$(6SŠ/354 G7-,

J

B(4 678*7-,

sZAƒ

="=$(6%S67677-,

J

B(4 678*7-,

sZƒ

="=(6

X

Sb&(76

4zz J ƒ '56A4 6701`*S) -,A6I@ R‚;5O@VW6A4 B' B7=$(6Q4?Bc'&,

r(† S8*2,

B7=$W6A4 B'&, sƒ '+6A4 670[`*7S) r† S8*2,

X 4?b5 B=j-, sƒ '56A4 670[`*7S)

XY= ? G9K **K=@AK ;K ;G? ?#K1K1@"K1@:7;G? <P? G#K NAK1?7AK1=ON *>=G?7:NQ=<?7AK ;<P?7K $N:<P7K"NK'KNAK1?7A<K **K K1?7ANAK *>= *K K17:NQ=? $ "K1N:K

BDC EABD6 ;K *>= N:K *>=7A<G? G?3;9 <NAK NAK *=O7A<%K IK1?7 "= *>= *K M N:<PI=<NAK BDC EABD6 ;K *>= NAK *=O7A<G?687A93; <=O?7A@?K1@:7"M3=@ K1N:< K1K

K17:93;<>=?7 ? C ("!<*3K ?K1@:7 ;KLI (K1I&KZMG9 N *>= *K K17AN=?$ "K1NAKZB C EI&I-=O7 # <$NAK1@ %B C EI&I-=7XK17:7AN:K1@ %B C E I&I-=7JLK1M3=N:7 (

;K *>= N:K *>=7:<PG?! G?3;9l<PN:KNAK *=O7A<%K IK1?7 "= *>= *KMlNA<I-=O<PN:KHBDC EII-=O7 # <&$ N:K1@'%3BLC1E I&I-=O7QXK 7A7AN:K1@% BLCE II=7JDK M3=N:7 (

;K *>=N:K *>=7A<G?)( G<7A9 N:K1@ G<7A9lNAK"<II-= 7:NA<9.*K1KDWO\WO\ a WO\ (