• Aucun résultat trouvé

The Lions domain decomposition algorithm on non matching cell-centered finite volume meshes

N/A
N/A
Protected

Academic year: 2021

Partager "The Lions domain decomposition algorithm on non matching cell-centered finite volume meshes"

Copied!
36
0
0

Texte intégral

(1)

HAL Id: hal-00003306

https://hal.archives-ouvertes.fr/hal-00003306

Submitted on 17 Nov 2004

HAL is a multi-disciplinary open access archive for the deposit and dissemination of sci- entific research documents, whether they are pub- lished or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers.

L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés.

The Lions domain decomposition algorithm on non matching cell-centered finite volume meshes

René Cautrès, Raphaèle Herbin, Florence Hubert

To cite this version:

René Cautrès, Raphaèle Herbin, Florence Hubert. The Lions domain decomposition algorithm on non

matching cell-centered finite volume meshes. IMA Journal of Numerical Analysis, Oxford University

Press (OUP), 2004, 24, pp.465 - 490. �hal-00003306�

(2)

"# $ %&$$' ( )* +, -

.0/21-3/54687:9;=</?> @&.068ACBC6D</?EF/5GH/2; IKJF1681CLM-EON8; /?1CP2/5GQ7KIR/?;S9UT

VXWZY\[\]_^C`a[

bc/!AC; NdARN8>e/!6f1C/hgjiK1CJk9\/lmN8EO7Cn/> PoBK/2n/"pqN8;P?N81\lm/2Ph9JON81rLCJFst7C>eJFN81/?uv7K6?9JON81$N81$1CNd1$nr6=9PoBCJO1Cw

w8;eJFLC>exybc/zw8J{lm//2;e; N8;|/2>S9\JFn6?9\/2>}pqNd;}~> N8EO7€9JON81C>N8p#9BK/P2Nd19\JF17CNd7C>XAC; NdICEF/?nx‚bc/r9BK/21

AC;e/2> /?1\96ƒiC1KJk9\/lmN8EO7Cn/Ulm/2;e> JON81*N8p"681„68LC68A:96?9\JFN81…N8p-9\BC/X†CPoB\g‡6d; ˆ‰68EOw8N8; J{9BKnŠLC7C/9\N‹ŒxO&x

&JFNd1C> @'681CLAC;eNolC/2@-pqNd;Q6}i€ŽR/?Lnr/?> BC@Jk9\>‡P2N81\lC/2; wd/21CP?/f9\Ng‡68;eLC>#9\BC/UiC1CJ{9/"lmN8EO7Cn/$> PoBK/2n/N81

9BK/$gBKN8EF/LCN8n68JO1Cxy‘Q7Knr/?; JOP268E"/hŽŒAt/2;eJFn/?19\>}JOEFEO7C>S9\; 6?9\/U9BC/U9BK/2N8;e/’9JOP26dE0P?N81\lm/?; w8/?1CP2/N8; LC/?;

681CL$9BK/P?N81\lm/?; w8/?1CP2/N8p“9\BC/5†CPoB\g‡6d; ˆ6dEFw8Nd; J{9BCnx

”•–(—˜ ]:™ZY0š N8n68JO1$LC/2P?N8nARNd> J{9JON81C@“iC1CJ{9/lCN8EF7Knr/>ePoBC/2n/?@R†CPoB\gQ68; ˆ"68EOw8N8;eJk9\BCn@m1CN81$n6?9\PoB€›

JO1Cw|wd; JOLC> x

VXœžŸ' ZWZ¡ • `a[r¢£¤^CY\Y\¥¤¦Z`a^C[\¥ ˜“§c¨d©8‘$ª?«

¬ ­

$! (®,!

&/’97C>"P2Nd1C> JOLC/2;¯9BK/pqNdEFEONgJF1CwrLCJOsR7K> JON81€›oP?N81\lm/?P’9JON81z/?u7C6?9JON81C°

±5²5³}´

LCJ{l¶µS·

³Z¸¹´»º¼³½¿¾

N81ÁÀ"Â

³z½Ã

N81ÅÄmÀ"Â

µeª?x¼ª

¸

gBC/?; /‡ÀyJO>Æ681}NdAR/?1}IRNd7C1CLC/?LXARN8E{ÇRw8N81C6dER>e7CIC> /h95N8p È\@(É

½

«aÂ2Ê8@R·*ËÍÌT2µSÀ"Â È ¸ Â º

ËÍζÏ$µSÀ

¸ @

681CL

¾

˅Π µSÀ

¸ @ Ã

˅Π µÐÄmÀ

¸

xfÑBC/LCNdnr6dJF1À¿JF>0LCJO> P?; /’9\JFˆ?/2LgJ{9B6w8;eJFL$gBCJOPoBnr6Ç®pq/?6?97C;e/

> Ndnr/51CNd1n6?9\PoBCJF1KwP2/?EFEO> @&>e7CPoB68>LK/2> P?; JOIR/?LzJO1M-JOw87C;e/rª?x

bc/!P2N81K> JOLC/2;¯BC/?; /'9\BC/!>eN?›oP?68EFEO/2LÓÒÔP2/2EOE{ՓP2/?19\/2;e/2LCÖ5iC1CJ{9/lCN8EO7Cn/!> PoBC/?n/2@t68EF>eN‡> Ndnr/h9JOn/2>P268EOEO/2L

ÒhiC1KJk9\/lmN8EO7Cn/’Õ“iK1CJk9\/HLKJFst/2;e/21CP?/2֐> PoBC/?nr/?@vgBC/?; /-9BK/LCJF>eP2;e/’9/"7C1K×v1KNog1K>#68;e/EFNvP26=9/2L6?90>eN8n/

ؤÙZÚ_ÛÝÜ=ÞeßÐàáÛÝâ2ãޓä:ÞtåtßáæoÜ=ÞeÚ_ç’Þ\è=éKê5ë’èeìKޒçÔí_Ú:æ=îDïæ?ðñޓä:ÞéKíDï

ò

âSÞ

ò?ó0ô

æ=õ#ö€ÞeßÐâè ÷=ø&ß

ó

ޓù&úû?æ?ðñÛÝæ=â(é

ó

ßÐÛÝÞ2è\üh÷=ý=þ?÷¹ê

ò

ßáàáޒÛÝðñðÝÞ

éKޒä:ޒÿüh÷dè2ù:ß

ò

Ú:ç’Þ

ޒõ

ò

Ûñð

(3)

I\Ç*iC1CJ{9/rLCJOsR/?; /21KP2/2>}µS>e/2/r/2xwdx "!(njn68;eL #%$'&(*)¶«,+-+,+-.

¸0/

g‡/r>S9\7CL€Ç9BK/|&JON81C>5n/’9BKNDL 7C> JO1Cw

.0N8ICJO1JO1\9/2;epq68P2/5P?N81CLCJ{9JON81C>µS>e/2/1k&JON81C>ª2,2,+3.

¸

Nd19\BCJF>-9ÔÇRAt/Ndp'LCJO> P?; /h9JOˆ26?9\JFN81Kx

ÑBC/n68JO1®JO1\9/?; /2>¤9}Ndp¶>e7CPoB®6>ePoBC/2n/rJF>!9\NX7C> /J{9fgBC/21X9BC/LCNdnr6dJF1ƒÀ JF>5LC/?P2N8nAtN8> /?L JO1\9N

> /hlm/?; 68E(1KN81CNlm/?; EO68ACACJO1Cw> 7CItLCN8n68JO1C>'gBKJFPoB‰n6ÇzIt/‡n/2>eBC/2L‰JO1CLC/2At/21KLC/21\9E{Çax0ÑBCJO>!LC/?P2N8nAtN?›

> J{9JON81zn6Ç‰9BC/?1zIt/7C>e/2Lz/?Jk9\BC/2;‡6d>H681Jk9\/2; 6=9J{lm/>eN8E{lm/2;QIÇ J{9>e/2EOp¯N8;Q68>06AK; /2P?N81CLCJ{9JON81C/?;‡JO1z6

P2Nd134’7Cw86?9\/5w8; 68LKJF/?19\x

bc/¯; /2P?68EOE?9BC6=9¶LCN8n68JO1LK/2P2NdnrAtN8>eJk9\JFN81n/’9\BCNDLK>¶µS> /?//2xOw8x5{&/5Ñ'68EOEO/2Pª2,2,63.F@N8;7"857C68;¤9/2;eN81CJ9;:068EFEOJ¶ª2,2-2-.

¸

gQ/2; /0JO19\; NvLC7CP?/2Lr68>6n/?68159\N5AR/?; pqN8;en EF6d; w8/>eP268EO/HP?N8nAC7€9\6?9JON81C>°Z9\BC681Cׁ>¹9N!9BK/0AtN8>e> JOICJFEOJ{9ÔÇ

N8pm7C>eJF1Kw6QAC68; 6dEFEO/2EDP2N8nAC7€9\/2;e@tIK7€9"68EO> Nfn/2;e/2E{Ç9\BC681Cׁ>Œ9N¶9BC/!/<P2JO/21CPhÇN8pd9BC/ÆJk9\/2; 6=9J{lm/> NdEklC/2;

gBCJOPoBzn6ÇÓIt/68> >eNDP?JF6?9\/2L|9\N59\BC/LKN8n68JF1LC/2P?N8nARNd> J{9JON81Cx>=zN8>¤9$N8p“9BC/P2Nd1lC/2;ew8/21CP?/$>S9\7CLCJO/2>

gQ/2; /‰At/2;epqN8; n/2L„JO1z9BC/Xpq;e68n/’gQN8; × N8p"iC1CJ{9/X/?EF/?nr/?1\9>ePoBC/2n/?> @QIK7€9; /?P2/21\9\EkÇyiK1CJk9\/lmN8EO7Cn/

> PoBK/2n/2>e@¹gBKJFPoB68;e/0gJOLC/2E{DŽ7K> /2LJO1JO1CLC7C>¤9;SÇ8@-BC6lm/68EF>eN}It/2/21>¤97CLKJF/?L?"@QPoBKLCN87A#%$'&(*)«,+,+8«3.

{4687€9;=</2>B#%$'&(*)«,+,+,+d6-.O@7k46d7€9;=</2>B#%$'&(*)«,+,+,+8IC.Fx

ÑBC/‡P?68> /QN8p¹1CN81Xn6?9\PoBCJF1Kw$w8; JOLC>ÆJO>!N8p¹wd; /26=9fJOnrAtN8;¤9681CP?/2°N81K/¶gQN87CEOLEOJO×d/#9\NUIR/Q68ICEO/¶9Nnr/?> B

9BK/Q> 7KIRLCNdnr6dJF1XJO1CLC/?AR/?1CLC/21\9\Ekǃpq;eN8n N81C/H681CN?9\BC/2;e@Œ681CL9BCJO>!7C>e7C68EOEkÇ; /?> 7CE{9>!JO1X1CN81nr6=9PoBCJO1Cw

w8;eJFLC>6?959BK/|>e7CIRLKN8n68JF1ÓJF1\9/?; pq68P?/2xEDÔ1Fk&/5ÑZ68EFEO/2PG9 †K68> >eJƪH2,28©-.O@¶681Ó687Kw8n/21\9/?LӍ&68w8;e68w8JO681

n/’9\BCNDL‰g‡6d>JO19\; NvLC7CP?/2L9NLC/?68E&gJ{9B‰9BC/|AC; NdICEF/?nxI=N8; /r; /?P2/21\9\EkÇ®9BC/r> N=›oP26dEFEO/2L ÒÔnrNd;S96d;

n/’9\BCNDLKÖgQ68>>eBCNg1 9N®w8J{lm/6 AC; /?P2JO> /68ACAC;eNoŽRJOn6?9JON81»N8pH> /?P2N81CLcN8; LC/?;|/?EFEOJOA€9JOPAC;eN8ICEO/2n>

JO19BK/|pq;e68n/’gQN8; ׃N8p#iC1CJ{9/r/2EO/2n/21\9‰n/’9\BCNvLC>J"K!/?; 1C68;eLCJ'#%$'&(*)Hª2,L,23.F@¶nJkŽR/?LÍiC1CJ{9/|/2EO/2n/21\9

n/’9\BCNDLK>M"@Q; ItN8w86d>S9J#%$'&(*)«,+,+,+3.F@ZiC1CJ{9/"lmN8EO7Cn//?EF/?n/21\9n/’9\BCNDLK>NO!(gJO1CwP#%$'&(*)«,+,+,+3.F@ZP2/?EFE{›

P2/?1\9/2;e/2LiC1CJ{9/lmN8EO7Cn/n/h9BCNvLC>QO@HPoBCLCN87 #%$'&(*)«,+,+8«3.F@R{†C686d>B#%$R&(*)¶«-+,+8«-.Ox

4N81\9;e68;SÇ9N9BC/?> /$n/’9\BCNDLK> @-BC/?; /HgQ/U>eBC68EOEIt/Un7CPoBƒEO/2>e>‡P2687:9JON87C>‡JO19BC/09; /?6?9n/?19$6?9Q9\BC/

> 7KIRLCNdnr6dJF1ÍJO1\9/?; pq68P?/2>UJO19BK6?9gQ/>eBC68EOE#1KN?99\;Sǃ9N68LC68A:99\BC/SC7:ŽŒ/?>UN81‰9BC/|1CN81€›nr6=9PoBCJO1Cw

JO19\/2;epq68P2/?x!GQ/?1CP2/'gQ/!>eBC68EOEKEONDN8>e/Æ>eN8n/!AC; /?P2JO> JON81N81wd/21C/?; 68EDnr/?> BC/?> @“IC7€9'g‡/Æw868JO1UJF1> JOnrAKEFJOP2J{9ÔÇ

681CLJO1>¤968IKJFEOJk9ÔÇ8x

DÔ1$9BC/> /?P2N81CL> /?P’9JON81C@CgQ/AC;eN8AtN8> /56riC1CJ{9/!lmN8EO7Cn/>ePoBC/2n/pqN8;"‹¶;eN8ICEO/2n µeª?x¼ª

¸

gBCJFPoB68EFEONg>

1CN81‰P?N81C> JO>S9\/21\9BC7€ŽR/2>068P2;eN8> >6=9ÔnjAKJFP?68E¹/2LCwd/2> x"ÑBCJO>"> PoBC/?n/0gQ68>68EO; /26dL€Çƒ> 7KP2P2/?> >epq7CEFE{Ç 7C> /?LJO1

N8JOED/?1Cw8JO1C/2/?; JO1Cw‡68AKACEFJOP26=9JON81C>T"@Q6lD6?9>en68; ×U#%$'&(*)¶«,+-+“ªH.O@"K!/2EOnN87CBCNd7CI„ª2-28¨M.Fx#GQ/?; /'gQ/ÆAC;eNlm/

(4)

N81„9BC/ƒ7C1KJFu7C/Xg‡/?68ן> NdEF7€9\JFNd1*9N…‹; NdICEF/?n µ ª?xáª

¸ x bc/ƒN81CE{Ǟ>S9\7CL€Ç BC/?; /X9BC/ƒP?68> /®N8p1CN81

BCN8nN8wd/21C/?N87C> š JO; JOPoBCEO/’9IRNd7C1CLC68;¤Ç P2N81CLKJk9\JFN81K> @‡IC7:9z‘H/27Cn681C1c681CLc.0N8ICJO1cP?N81CLCJ{9JON81C>|n6oÇ

68EO> NrIR/fP?N81C>eJFLC/?; /?L|gJk9\B9\BC/!9/?PoBC1CJOP268EC9NvN8EO>"LC/’lC/2EON8AR/?LJO1 "W68EFEON87VX/h9S#%$'&(*)«,+,+,+3.Fx

DÔ1}9BC/‡9\BCJF;eLƒ> /2Ph9JON81C@(gQ/rP?N81C>eJFLC/?;!9BC/LC/?P2N8nAtN8> J{9JON81®N8pÀ JO1®>e/’lC/2; 6dE¶1KN81ƒNolC/2;eEF68AKACJF1KwLCN=›

n68JO1C>#µSÀ7Y

¸

YZ\[¶681KL7K> /¯6"LCJO> P2;e/’9\/¹lC/2;e> JON81N8p\9\BC/¯&JFN81K>¹68LC68A€9\6?9JON811{ZJON81C>ª2-2,+-.8Ndp9\BC/¯†CPoB\gQ68; ˆ

68EOw8N8;eJk9\BCnÁJO1N8;eLC/2;¯9Nr> NdEklC/‹; NdICEF/?n µ ª?xáª

¸

°"pqN8;6rw8J{lm/?1^]ƒË _R@&PoBCNvN8>e/

³a`"bHc Ë*~zT

b

µSÀ

¸

@¹681CL

> NdEklC/pqN8;/?68PoB1dIef+681CLpqN8;/?68PoB>e7CItLCN8n68JO1À7Yá@g#Ë ha°

±5²5³

`Oi _ T c

Y ´

LCJklµÐ·

³

`Oi _ T c

Y

¸¹´»º¼³

`ji _ T c

Y

½¿¾

YN81 À7Y¼Â

³

`ji _ T c

Y

½Ã

YN81lkmYÐÂ

Ä ³

`ji _ T c

Y

Ä,dY

´ ] ³

`Oi _ T c

Y

½j±

Ä ³

`Oi,c

n

Ä,d

n ´ ] ³

`ji-c

n

N81poqYr

n

Âsut$Ë hY¼Â

µeª?xF«

¸

gBC/?; /

¾ Y ½ ¾,vwyx

@RkmY

½

ÄmÀ7Y{z®ÄmÀ@

à Y ½ Ãv|,x

@&gBK/2; /1h0Y

½~}

tzËh

/

t€

½

gÂ¹nµÀ n z ÀRY

¸ƒ‚

+„8@

gBC/?; /ƒoqYr

nQ…

ēÀ7Y"JO>LK/2iC1C/?LÓI\ÇUoCYr

n ½

À7Y†z À n

pqN8;f6dEFE†tËphYÐ@681CLXgBC/?; /ƒdY!JO>9\BC/1CN8;enr6dE

7C1CJ{9"lm/?P’9Nd;9\NƒoCYr

n

N87€9ÔgQ68; L$9NrÀ7YÐx

bc/$AC; /?> /21\96XiC1CJ{9/‡lmNdEF7Cn/‡lm/?; >eJFN81 N8p(9BCJO>568EOw8N8; J{9BKn pqN8;ÆgBKJFPoBX9BC/$P?N81\lm/?; w8/?1CP2/|AC; NvN8pN8p

‹ŒxO&x-&JFNd1C>fn6oÇÍIR/$6dLC68A€9\/2LCxrÑBC/$P2Nd1lC/2;ew8/21CP?/N8p>e7CPoBƒ6>ePoBC/2n/BC68>fiK; >S9rIt/2/?1ƒAC; Nlm/?L JO1

"@QPoBCLCNd7‡#%$R&(*)¶«,+,+d«-.8pqN8;Œ6>S9;eN81Cw"> NdEF7€9\JFNd1NdpD‹; NdICEF/?n µeª?x¼ª

¸

pqN8;¹AtN8> J{9J{lm/

º

x'DÔ11{4687€9\;=</2>B#%$R&(*)¶«,+,+-+8Iq.O@

gQ/‡N8I€9\68JF1K/2L9BK/QP2Nd1lC/2;ew8/21CP?/5pqN8;#60g‡/?68×|>eN8EO7€9JON81XN8p(‹;eN8ICEO/2n µ ª?xáª

¸

7K> JO1CwH9/?PoBC1CJOu7C/2>"LC/hlm/2E{›

N8ACAt/2LXJO1I"!¹ÇRn68;eL‡#%$R&(*)¶«,+,+-+-.ŒpqNd;Æ6$w8/?1C/2;e68EŒLCJOst7C> JON81‰AC; NdICEF/?nx¯bc/‡/hŽv9\/21CLBC/?; /#9\BC/f; /?> 7CE{9

JO1AC;e/2>e/21CP?/N8pZ6P2N81\lm/?P’9\JFN81r9/2;enx

bc/iC1K68EFE{ǂAC;e/2> /?1\9JO1c†C/?P’9JON81© 17Cn/2;eJFP?68E0; /2>e7CE{9>JO19BC/P268>e/NdpQLC/?P2N8nAtN8> J{9JON81»N8p9Ôg‡Nd@

9BK; /2/?@pqN87C;‡681KL®1KJF1C/$LKN8n68JF1K> xbc/$w8J{lm/$17Cn/2;eJFP?68E¯/2>¤9JOnr6=9/2>N8p(9BK/$/2; ;eN8;f681CL/?nACBC68>eJFˆ?/2@

pqN8;$6ƒi€ŽR/2Ln/2> BK@¶9BK/P?N81\lm/?; w8/?1CP2/N8p9\BC/‰Jk9\/2;e6?9J{lm/> PoBC/?n/r9NgQ68; LK>f9\BC/‰MV:Q›> PoBC/?n/2@#9\BC/

> At/2/?LN8pZP2Nd1lC/2;ew8/21CP?/68>"6pq7C1CPh9JON81N8pa]Zx

(5)

ˆ>‰‹ŠŒHŽ

‘“’”

•–

ˆ>‰‹ŠŒHŽ

— ”

• 

‘”

‰ — ”

‘”

— a’”

•–

˜š™ˆœ›

• 

˜š™ ˆœ›

 ”

M-JFwd7C; /rª?°"‘HN?96?9\JFNd1C>pqN8;>S9\681CLC6d; L/2LCw8/?>Uµ¤EF/?pÝ9

¸

681CL‰6?9ÔÇRACJOP26dEZ/?LCw8/?>µ¤; JOw8B\9

¸

ž

)* +, -#

ÑBC/P?/2EOEkՓP?/21\9/?; /?L iC1KJk9\/|lmN8EO7Cn/> PoBK/2n/}g‡68>9BCN8;eN87Cw8BKEkÇjAC; /?> /?19\/2L‚681CLŸJ{9>}P?N81\lm/?; w8/?1CP2/

AC;eN8AR/?;S9\JF/?>U>S9\7CLCJO/2L‚µSJO19BK/P26d> /}N8pP?N81CpqN8;enJF1Cwnr/?> BC/?>

¸

JO1Í> /hlm/?; 68E!pqNd; n/2;AC68At/2; >ex DÔ19\BC/

P26d> /XN8p"/2EOEOJFA€9\JFPX/?u7C6?9JON81C>e@QÎ  /2;e; N8;/2>S9\JFn6?9\/2>QgQ/2;e/AK; /2>e/21\9/?LJO1pkGH/2;eICJF1Óª2,2d©-.ÆpqNd;H9;eJF681:›

w87CEO68;5n/2>eBC/2>e@JF1FO=zJO> BK/’lcª2,2-L-.pqN8;Ÿ:0N8; Nd1CN%X ¯n/2>eBC/2>e@681CLÓiK1C68EOEkÇ*JO1¡"W6dEFEON87VX/h9S#%$'&(*)«,+,+,+3.

pqN8;"w8/?1C/2;e68E'n/?> BC/?>‡681CLIRN87K1CLC68;¤Ç®P2N81CLKJk9\JFN81K> xƒ@ P?N81\lm/?; w8/?1CP2/$;e/2> 7KEk90gJk9\BCN87€9U681\Ç 68> >e7CnA€›

9JON81 N8pÆ;e/2w87CEO68;eJk9ÔÇN8p'9\BC/r> N8EO7€9JON81 P2681ÍIt/rpqN87C1CL JF1FO!(ÇRn68; L #%$'&(*)Hª2,2,23.F@¶681CLÍ6d1 68AKAC; NŽ›

JOnr6=9/wd; 68LCJO/21\9UgQ68>UP?N81C>¤9; 7KP’9/?L…JF1;"!(ÇRnr6d; L‡#%$R&(*)¶«-+,+“ªH.OxӑHN81CP?ND/?; P2J{lm/X/?EFEOJOA€9JOP}/2u7C6=9JON81C>

gQ/2; /68EO> NÓ>¤97CLKJF/?LC@fpqN8;IRN=9B*; /2wd7CEF6d;~^¢mT$681CLn/268>e7C; /LC6?96?š ; N81CJON87£9¤W68EOEFN87VX/’9«,+,+d«-.O@

š ; N81CJON87¥#%$R&(*)¶«,+,+dÊ-.OxÆM-JO1C68EOEkÇ8@K69BCN8;eN87Cw8B>S9\7CL€Ç|N8pCiC1KJk9\/ZlmNdEF7Cn/#> PoBC/?nr/?>¯pqN8;ZEFJO1C/26d;'N8;Z1CN81:›

EOJF1C/?68;/2EOEOJFA€9\JFP?@¹AC68;e68IRNdEFJOPf681CL‰B\ÇRAR/?; ItN8EFJOP5/2u7C6?9\JFNd1C>"nr6ÇƒIt/fpqN87C1KLJO1¥O!(ÇRn68; LA#%$R&(*)¶«,+,+-+-.O@

gBCJOPoBƒgQ/X; /?pq/2;H9\NpqN8;pq7K;S9BK/2;ULC/h968JOEO> xb»/X>eBC68EOEÆBCNgQ/’lm/?;|1K/2/2Lz9\Nz; /?P268EOE!BC/?; /X> Ndnr/XIK68> JOP

AC;eJF1CP?JFAKEF/?> @¹1CN?9\6?9JON81C>Æ681CLXLC/?iC1CJ{9JON81C>-gBCJOPoB$gQ/2;e/fJF1\9\; NvLC7CP2/?L‰JF19\BC/2>e/AK68AR/?; >e@(JF1XNd; LC/?;'9BC6=9

9BK/AK; /2>e/21\9N81C/5IR/5>e/2EOpݛoP2Nd19\68JO1C/2LCx

ÑBC/"iC1CJ{9/-lCN8EF7Knr/">ePoBC/2n/QJO>¯pqN87C1KLrI\ljJO1\9/?w8; 6?9\JF1Kw/?uv7K6?9JON81µ ª?xáª

¸

N8165w8J{lm/?1|P?N81\9; NdE€lmN8EO7Cn/

(6)

N81‰9BC/|JF1\9/?; pq68P?/¨§Ndp'9Ôg‡NP?N81\9;eN8E(lmN8EO7Cn/2>N¦ 681KLÍί@!1C68n/?EkÇ

± ©«ª5³

µ­¬

¸7®

§†¯«r

©

É°¯µ*¬

¸

Nd;

± ©Ÿª5³

µ­¬

¸“®

§†±ur

©

É°-µ­¬

¸

@tgBC/?; /§†¯«r

©

µS;e/2>eACxU§±r

© ¸

JO>#9\BC/$1CN8;enr6dE7C1CJ{9‡lC/2P’9\N8;Æ9N‹§ÍNd7€9Ôg‡6d; L

9NE¦ µ¤; /?> ACx…Î

¸

6d1CL…É°JO>H9\BC/}JO19\/2w8;e6?9JON81„>¤ÇŒnIRNdEÆpqN8;"9BC/ƒµSÉ

± ª ¸

›oLCJOn/21\9JON81C6dEƍ&/2It/2>ew87C/

n/2>e7C; /HN819\BC/HB\ÇRAt/2; AKEF681K/¶9BK6?9‡P?N81\968JO1C>¹9BC/0/2LKw8/5§ŒxÆÑBC/HLKJF>eP2; /h9JOˆ26?9\JFNd1XN8pŒ>e7CPoB}6GC7€Žn6oÇ

It/fAR/?; pqN8;enr/?LUgJk9\B6LCJOsR/?; /?19\JF6dE¹uv7KN?9JO/21\9JF1\lCN8EklRJO1CwflK6dEF7C/?>"N8pC9BC/57C1Cׁ1CNg1EFNvP26=9/2L‰N81U9\BC/

JO19\/2;epq68P2/|IR/h9Ôg‡/?/219ÔgQNzP2Nd19\; N8E(lCN8EF7Knr/?> @!Nd1 /?Jk9\BC/2;> JOLC/N8p&9BCJO>JF1\9/?; pq68P?/2xÑBC/|AC; NdICEF/?n N8p

9BK/UP2N81K> JO>S9/?1CP’Ç*Ndp¹9\BC/2>e/MC7€ŽR/2>f6=9681JO19\/2;epq68P2/N§Œ@IR/h9Ôg‡/?/21X9Ôg‡N‰P2Nd19\; N8E“lmN8EO7Cn/2>G¦ 681CLƒÎ

gBCJOPoBLCNr1CN?91K/2P2/?> >e68; JOEkÇ n6?9\PoBC@CgJFEOE¹IR/5>¤97CLCJO/2LIR/?EFNgx

&/’97C>"iC;e>S9w8J{lm/9BC/5pqN8EOEFNgJO1CwLC/2iK1CJk9\JFNd1N8pZ6816?9ÔÇRACJFP?68E¹n/2>eBCx

²R³´ µ ¶>·¹¸º·¼»C¶>·{»

½‰• ¦ § ¥¤[\¥˜t§¡¾“¿À Á ¥ § ¥¤[ •PӘ £¤ “Ä • Ä • • YƇǡÈ{ÉuÊ $Ë#ÌœÍ(Μϣ#ÐÏ£#0ёÒEÍÓ"ÀÕÔÐÖ# É Í$×#‘ÖSØ0ٚÚÛÔ Ê Ñ

Ü Ê̜# É Ø0ÙI&>Ó&Ï Ê (ÙIÍӇÝÞ‘Í É $*ßÍ(y̜Í(ÎCÏ£#0ÑqàÔ'áâÒ Ê Þ0҇&ß#SÍãä# É ãäÍ(Ù Ü Í É &(“å‘ÍߍãäÍ(ÙæÒm#‘Öß&(çUÞ‘Í É Ìœ#0è

ёÎäØ0Ñæ#%$­ÑÛÍÓÀéåêá Ê $*҃ãäÍÑ Ê $Ê̜#ÐÏ£#‘&ёΜß#×çæÔÕ&ŸÓ&Ï Ê (ًÍÓÕёÎäØ0Ñæ#%$­ÑÛÍÓ ÀéÞ‘Í É $×& ÊÉ #‘Ö ÊÉ Òّãä#0ßëãa(*& É #0ÑBÍÓ

È Ô«Ö# É Í$×#‘ÖBØ0ÙTìpå‘$*Òm#0Ñæ#5&ß#5$­Òm#í#‘Ö

Ü

#0уåÊÓ¶É

½

«ç1ÍßÕÑ Ê Ö#0уåÊÓÉ

½

ÊçNÍӍ$*Òm#>Þ‘Í É $­ßÍ(3̜Í(Μϣ#0ÑêçæÔ

á Ê $*ÒSÑæ$*ß Ê Þ%$×(ÙíãäÍÑ Ê $Ê Ìœ#µÐÉ

± ª

¸0î

Ö Ê Ï£# É Ñ Ê Í É &(-Ï£#‘&ёΜß#0ÔÕ& É Öš&ÕÓ&Ï Ê (Ù£ÍÓ{ãäÍ ÊÉ $­ÑÛÍÓ ÀlÖ# É Í$×#‘ÖšØ0Ù

ïE)

ð Òm# È{ÉuÊ $×#a̜Í(ÎCÏ£#aÏ£#0Ñ‘Ò Ê ÑâÑæ& Ê Ö>$×̓ؑ#SÝ&ÖÏ Ê Ñ‘Ñ Ê Ø%(*#œà ÊÓyãmßÍãä#0ß-$Ê #0ÑÐå ÊçB$×Í>åêÌ ÊçBؑ#%(*Íáñ&ß#aÑæ&$ÊÑ È #‘ÖÔ

& É ÖÝ&$*Ù\ã Ê Þ‘&(×à ÊÓaãmßÍãä#0ß3$Ê #0њå Êçò$×ͨåêÌ0çòÍ É (ÙE&ß#íÑæ&$Ê Ñ È #‘Ö)

å Êç ð Òm#ÛÞ%(*ÍёΜß#MÍÓQ$*Òm#íÎ ÉuÊ

Í É

ÍÓQ&(($*Òm#MޑÍ

É

$*ßÍ(œÌœÍ(ÎCÏ£#0Ñ Ê Ñ ÀG)

å

ÊÊ

ç‡óaÍߋ&

É

Ùò¦ ËôÚÛÔG$*Òm#0ß#S#0è

Ê

Ñæ$­Ñ‹&šÑ‘ΆØ0Ñæ#%$†ìu¯õÍÓÕìöёΆÞ0҇$­Òm&$Äy¦

½

¦~÷>¦

½ùø

©

Z\úû §äÔ

& É ÖÐì

½fø

¯TZ\ü†ì¯Û)

å ÊÊÊç‡óaÍߚ& É ÙµË¦XÂ\Î

¸

Ë‡Ú  á Ê $*ҋ¦ý€

½

ÎâÔÐ# Ê $­Òm#0ß1$*Òm#UµÐÉ

± ª

¸0î

Ö Ê Ï£# É Ñ Ê Í É &(þ“#%ؑ#0Ñ

Ü

Ά#ÐÏ£#‘&ёÎCß#

ÍÓ ¦ºz Î Ê ÑNÿ¨Íß ¦ºz Î ½

§£ÓÍ߃ÑæÍÏ£#í§‰Ëòì'ÔâáâÒ Ê Þ0ÒJá Ê ((†$*Òm# É Ø‘#ÛÖ# É Í$×#‘ÖJØ0Ù1¦Î)

å ÊÌ0ç ð Òm#RÓ&Ï Ê (كï

½

µ­¬m¯

¸

¯TZ\ü Ê Ñ>ёÎäÞ0Ò¥$­Òm&$qÓÍßJ& É Ù1§ËEìTёÎäÞ0ÒA$*Òm&$¼§

½

¦ÎâÔÍ É #íÒm&Ñ

¬m¯'¬m±

®

§¯'r± ‚

+-Ô áâÒm#0ß#"§¯'r±Ö# É Í$Ë#0ÑM$­Òm#íÎ ÉuÊ $ É Íß\Ï£&(C̜#‘Þ%$×Íß1$ËÍÛ¦kÎöÍΆ$*áÐ&ßÖ¨$ËÍÛ¦ )

(7)

½} / …

Ó7¬m¯Ë §äÔÐ(*#%$Û¯'r

©

ؑ#M$­Òm#íÑæ$*ß& ÊÜ

Òm$«(ÊÉ # Ü Í ÊÉ

Ü

$*ÒßÍÎ

Ü

ÒM¬m¯~& É Ö¨Íß3$*ÒmÍ

Ü Í É &($ËÍÛ§VÔí$*Òm# É

$*Òm#MÞ‘Í É Ö Ê $Ê Í É Û¯'r

©

zE§ €

½

Ê Ñš&ёёÎCÏ£#‘ÖŸ(*#%$u°

© ½

B¯'r

©

zP§ )

åêÌ Êç‡óaÍßN& É Ù1§ËPìÕёÎäÞ0ÒU$*Òm&${§

½

¦kÎâÔ Ê $ ÊÑN&ёёΜϣ#‘ÖS$*Òm&$R$­Òm#íÑæ$*ß& Ê Ü

Òm$R(ÊÉ #Û¯'r± Ü Í ÊÉ

Ü

$*ÒßÍÎ

Ü

ÒÛ¬m¯ & É Ö¬m± ÊњÍß3$*ÒmÍ

Ü Í É &(†$ËÍÛ¦kÎÐ)

É $­Òm#UÑæ#0Ά#%(Ô $­Òm#JÓÍ((*Íá ÊÉ

Ü É Í$×&$Ê Í É ÑF&ß#IΜÑæ#‘Ö) ð Òm#IÏ£#0Ñ‘Ò Ñ Ê # Ê Ñ¡Ö# È{É #‘ÖôØ0Ù

½

> 7KA

}

LCJF6dnµ×¦

¸

ÂЦ ˺ÚM„,ÔGáâÒm#0ß#rLCJO68nµË¦

¸ ÊÑI$­Òm#PÖ Ê &Ï£#%$Ë#0ßIÍӚ¦ Ëùڋ)ñóaÍßI& É ÙI¦ ËùÚ

& É ÖS§„Ë ì«ÔnµË¦

¸ Ê Ñ£$­Òm#É

î Ö ÊÏ£# É Ñ Ê Í É &(uþ“#%ؑ#0Ñ

Ü

Ά#GÏ£#‘&ёÎCß#¨ÍÓG¦ å Ê )#%)ò&ß#‘& ÊӐÉ

½

«,ÔÕ̜Í(

î

Μϣ#

Ê

ÓUÉ

½

ÊHçæԇnµË§

¸

$*Òm#µÐÉ

± ª

¸0î Ö Ê

Ï£#

É Ñ Ê Í É

&(†Ï£#‘&ёΜß#òÍÓÛ§â) ð Òm#MÑæ#%$5ÍÓ ÊÉ

$×#0ß

Ê

Íß^åêß#0Ñêãa)

ؑÍÎ É Ö&ßHّç‡#‘Ö

Ü

#0Ñ ÊÑPÖ# É Í$Ë#‘ÖIØ0ÙJì ¨åêß#0Ñêãa)¨ì çæÔN$*Òm&$ Ê ÑQì

½ }

§yË;ì

/ § €

…

ÄmÀT„¡åêß#0Ñêãa)

ì

½ } § Ëöì

/ § …

ÄmÀT„çq) ð Òm#1Ñæ#%$GÍÓ É # ÊÜ

ÒmؑÍΜßHÑ^ÍÓ1¦ ÊÑIÖ# É Í$Ë#‘Ö Ø0Ù µË¦

¸

ÔS$*Òm&$ Ê Ñ

µË¦

¸Q½º}

Î‚Ë Ú

/!

§„Ë ìu¯Ô § ½

¦~z Î'„y)#" Íß#‘Í̜#0ß\ÔTáÐ#GёÒm&(( Ö Ê Ñæ$ÊÉ

Ü Î Ê Ñ‘Ò $­Òm#GÑæ#%$†ì$%1ÍÓ

ÝÑæ$×& É Ö&ßÖmàN#‘Ö

Ü

#0Ѩؑ#%(*Í É Ü ÊÉ

Ü

$ËÍƒì «ÓÍßÛáâÒ Ê Þ0ҚãmßÍãä#0ß3$­Ù¥åêÌ Êç ÊÑÛÑæ&$Ê Ñ È #‘Ö5ÓßÍÏý$*Òm#QÑæ#%$äì &'šÍÓ

Ý&$*Ù\ã Ê Þ‘&(×àJ#‘Ö

Ü

#0Ñ>ÓÍß1áâÒ Ê Þ0Ò¨ãmßÍãä#0ß-$*Ù åêÌ Êç Ê Ñ É Í$'Ñæ&$ÊÑ È #‘Ö)(ÓM§

½

¦kÎ Ë;ì ԍáÐ#òÖ# É Í$×#

Ø0Ù)

©

Íß*) ¯ v± $*Òm#,+7ÎäÞ%(

Ê

Ö#‘&

É Ö Ê

Ñæ$×&

É

ޑ#Sؑ#%$*áÐ#‘#

É

¬m¯õ&

É

Ö5¬m±påêáâÒ

Ê

Þ0Ò

Ê

ÑTãäÍÑ Ê $Ê

̜#×çæÔ5Ø0ىÉæ¯'r

©

$*Òm#

Ö Ê Ñæ$×& É Þ‘#†ÓßÍÏp¬m¯ $×͍§äÔRØ0Ù-)¯«r

©

$­Òm#.+7ÎäÞ%(Ê Ö#‘& É Ö Ê Ñæ$×& É Þ‘#äÓßÍÏô¬m¯¤$×ÍR°

©

ÔäáâÒm#0ß#°

© ÊÑí$­Òm# ÊÉ $Ë#0ß

î

Ñæ#‘Þ%$

Ê Í É

ؑ#%$*áÐ#‘#

É

$*Òm#>Ñæ$*ß&

ÊÜ

Òm$Ÿ(

ÊÉ

# Ü Í ÊÉ

Ü

$­ÒßÍÎ

Ü

ÒM¬m¯ & É

Ö5¬m±?&

É

֋$­Òm#5Òّãä#0ßëãa(*&

É

#NޑÍ

É

$×&

ÊÉuÊÉ

Ü

¦ÎÐ)!/N# È{É

© ½ É ¯'r

© ´ É ±r

©

ÔG& É Ö É Í$×#J$*Òm&$ ÊÓG§„Ë ì$%1& É Ö1§

½

¦ÎâÔG$*Òm# É ) © ½ É

©10

×Ó

§ËEì¯ñzšì ÔÐ(*#%$'É

©

Ö# É Í$Ë#N$*Òm#2+7ΆÞ%(Ê Ö#‘& É Ö ÊÑæ$×& É Þ‘#Mؑ#%$­áÐ#‘# É ¬m¯ & É Ö°

©

å‘$*Òm# É É © ½ Éæ¯'r

©

çq)

óaÍßN& É ÙN§Ë£ì«ÔŸ$­Òm#UÝ$­ß& É Ñ‘Ï ÊÑ‘Ñ Ê Ø Ê (Ê $*Ù¼àƒ$­ÒßÍÎ

Ü

ÒJ§ Ê ÑÛÖ# È{É #‘ÖSØ0Ù43

© ½

nµË§

¸

© ÊÓ"É

© €

½

+P& É Ö

3 © ½ + ÊÓHÉ

© ½

+u)'ó Íß>Ñ ÊÏíãa(Ê Þ Ê $*ÙæÔ Ê $ Êњ&ёёΜϣ#‘ÖJ$*Òm&$ZÉ

© €

½

+QÓÍߚ& É ÙS§Ëòì5)

&/’97C>"1CNg AK; /2>e/21\909BC/5; /?w87CEO68; J{9ÔÇ®68>e> 7CnA€9\JFN81K>HN81$9BK/LK6?968x

VXY\Y\ {Ä65Z[\¥ ˜“§¡¾“¿×ÀAÁ7}•98  '£¤^C]_¥¤[ –*˜;: • ™Z^C[\^Æ

ð Òm#òÖÍÏ£& ÊÉ À ÊÑU& É Íãä# É Ø‘ÍÎ É Ö#‘ÖMãäÍ(Ù Ü Í É &({ёÎäØ0Ñæ#%$ƒÍÓ È ÔÉ

½

«aÂ?Êy) þa#%$

¾ Ë Î  µ¤À

¸ Ô

·*ËÍÌTµ¤À"Â È ¸ Ô º

ËÍζÏ$µ¤À

¸ Ô Ã

ËÓ~=< >8µÐÄmÀ

¸

Ôí& É Ö ª

«

LCJ{l·5µ­¬

¸¹´»º µ*¬

¸

e+,ÔÕ&)#%)“¬ ÊÉ ÀG)

‘QN=9/Œ9BK6?9¹9BC/¯EO6?9e9/2;¹6d> > 7KnrA:9JON81P?N87CEOLIt/(g‡/?68×d/?1C/2LK@C> /?/íš ; Nd1CJFNd7£9 W6dEFEON87VX/h9«-+,+8«-.Ox@?Q1CLC/?;

68>e> 7CnA€9\JFN81K>H«8xáª?@¹‹; NdICEF/?n µ ª 0 ª ¸

BK68>"6r7K1CJFu7C/"lD68; JO6?9JON81C6dE(> N8EO7€9\JFN81JO1~zT\µSÀ

¸ x

(8)

&/’9GÚ It/f681X6?9ÔÇRACJOP268EŒnr/?> BLC/2iK1C/2L‰68>JO1 š /2iC1KJk9\JFN81‰«8xáª?xÕ!68PoB‰P2Nd19\; N8ElmN8EO7Cn/G¦ JO>!68>e> NvP2J{›

6?9\/2L$9N6LCJF>eP2;e/’9/7C1Cׁ1CNg1

³

¯0x

DÔ1rN8; LC/?;(9NN8I€96dJF1f9BC/"LCJO> P?; /h9/Q/?u7C6?9JON81C>e@RJO1\9/?w8; 6?9\/T!¶u7C6=9JON81µeª?x¼ª

¸

N81|/?68PoBP?N81\9;eN8EdlmN8EO7Cn/

¦ / ©

Z\ú û © µ

±Qª5³ µ­¬

¸&´ ³ µ­¬

¸

·‡µ­¬

¸ ¸

0

§†¯'r

©

É%°-µ­¬

¸Œ´

¯ º µ­¬

¸8³ µ­¬

¸

ɬ

½ ¯ ¾

µ­¬

¸

ɬ

0

M“N8;f68EOE⦠ËpÚU@681CL®68EOE⧄Ëñì¯H@EO/’9|7C>5LC/21KN?9/I\ÇWVä¯'r

©

µ¤; /?> ACxI\ÇXC¯'r

© ¸

9BK/r6dACAC; NŽRJOnr6=9/

LCJOsR7K> JON81òK7€Ž*µ¤; /2>eACx-9BC/f6dACAC; NŽRJOnr6=9/5P2N81\lC/2P’9\JFNd1PC7€Ž

¸

9\BC6?9JO>9N$> 6Ç8@¹681‰68ACAC;eNoŽRJOn6?9JON81‰N8p

± ©Ÿª5³

µ­¬

¸¼®

§†¯«r

©

É°¯µ*¬

¸

µS;e/2> AKx0Ndp

©Z³ µ*¬

¸

·fµ­¬

¸ 0

§¯«r

©

É°¯µ*¬

¸ ¸

x

@ iC1CJ{9/$lmNdEF7Cn/‰68ACAK; NŽRJFn6?9\JFN81N8p"‹; N8ICEO/2n µeª?xáª

¸

n6oÇÓ9BC/?1It/Ug; J{9 9/?16d>Q9BC/‰pqN8EOEFNgJO1Cw

EOJF1C/?68;">SÇR>S9\/2nÅN8pZ/2u7C6?9\JFNd1C> °

©

Z‘úû Vä¯'r

© ´ ©

Z‘úû Xœ¯'r

©

´»º

¯nµË¦

¸8³

¯ ½ nµË¦

¸ ¾

¯HÂTs{¦ Ë ÚU µ¤«8xFÊ

¸

gBC/?; /2°

¾ ¯ ½ ª

nµË¦

¸ ¯ ¾

µ*¬

¸

¹ɬ

º ¯ ½ ª

nµ×¦

¸ ¯ º

µ*¬

¸

Â&ɬ µ¤«8x6 ¸

681CL}gBC/?; /!VV¯«r

©

µS;e/2> AKxYXœ¯«r

© ¸

LK/21CN?9\/2>Æ9\BC/$pqN8EOEFNgJO1Cw‰68ACAC;eNoŽRJOn6?9JON81ƒN8p(9BC/$LKJFst7C> JON81cµS;e/2> AKx

P2Nd1lC/2Ph9JON81

¸

K7€Ž

± ©Ÿª5³

µ­¬

¸¼®

§†¯«r

©

É°¯µ*¬

¸

µS;e/2> AKx

©&³ µ*¬

¸

·fµ­¬

¸ 0

§¯'r

©

É°-µ­¬

¸ ¸

x

ÑBC/LCJOsR7C>eJklC/QK7€Ž JF>"68AKAC; NŽRJFn6?9\/2LI\Ç®6rP?/21\9;e68E&iC1CJ{9/5LCJOsR/?; /?1CP2/> PoBC/?n/2°

Vä¯'r

© ½ ±

nµË§

¸

)¯«r

© µ³ ©

±Ó³

¯ ¸  µ¤«8xF©

¸

9BK/lD68EO7C/2>

³ ©

It/2JO1CwLC/h9/?; nJF1K/2L}I\Ç$9BK/HP?N81C> /?;SlD6?9\JklRJ{9ÔÇNdpv9BK/ÐK7€ŽN81f9BC/0JF1\9\/2; JON8;¶JF1\9\/2; pq6dP2/2>e°

Vä¯'r

© ½ ±

VV±ur

©

JOpä§

½

¦kΠµ¤«8xF¨

¸

681CLI\Ç}9BK/ItN87C1KLC68;SÇP2N81CLKJk9\JFN81N81$9BC/5/hŽv9\/2;eJFN8;"/?LCw8/2>e°

³ ©

½Ã µ*°

© ¸

Âqs{§Ëòì

0

µ¤«8x[Z

¸

(9)

ÑBC/17Cn/2; JOP26dEZP?N81\lm/?P’9J{lm/QC7€Ž Xœ¯'r JO>0NdI€968JO1C/?LgJ{9B6|P?EF6d> > JOP26dEZ7KAC>S9\; /26dnÁ> PoBC/?n/2°

Xœ¯«r

© ½ \ _

¯«r

© ³ ¯ ± \ ¢

¯'r

© ³

±|JFp£§

½

¦ÎÂ

\ _

¯«r

© ³ ¯ ± \ ¢

¯'r

© Ã ©

JOp‹§Ëòìu¯‡z1ìeÂ

µ¤«8xL ¸

gBC/?; /

\

¯'r

© ½ ©

·5µ­¬

¸¼®

§†¯«r

©

É°¯µ*¬

¸  µ¤«8x2 ¸

\ _ ½

n6?Žµ

\

Â+

¸

681KL

\ ¢ ½ ±

nJO1&µ

\

Â+

¸ x

7}• ÄÓ^K]^] ¾“¿À`_ÛÍ$×#U$­Òm&$Q$­Òm#Jß#

Ü

Ά(*&ß Ê $*Ù¡&ёёΜÏíãa$Ê Í É Ã

ËÁ~ <>aµSēÀ

¸ ÊÑ É #‘#‘Ö#‘Ö ÊÉ åbam)cçP ÊÓ

à ÊÑ?Í É (Ùf&ёёÎCÏ£#‘Ö;$×Ípؑ# &òÓÎ É Þ%$Ê Í É ÍÓzιvµSēÀ

¸

Ô $*Òm# É åbam)cçÏ£&ٹؑ#Eß#×ãa(*&ޑ#‘Ö;Ø0Ù

³ © ½

ª

nµË§

¸

©ZÃ µ*¬

¸

É°¯µ*¬

¸

)edÛÍáÐ#0̜#0ß\Ô'$*Òm#Õß#

Ü

Îä(*&ß Ê $­Ù

Ã

ËÍ~=<> µSÄmÀ

¸

ÏMÎCÑæ$“Ø‘#>&ёёÎCÏ£#‘Ö ÊÉ ÍßÖ#0ßQ$ËÍNÍØ

î

$×& ÊÉ & É #0ß\ßÍߍ#0Ñæ$Ê Ï£&$Ë#0ÔaÍ$*Òm#0ßHá ÊÑæ#«Í É #ŸÍ É (Ù Ü

#%$*ÑÐ&5Þ‘Í É Ìœ#0ß

Ü # É Þ‘#“ß#0ёÎä(*$V&Ñ ÊÉ*f+7ÙæÏ£&ßÖ¨#%$'&(*)4gihihihj)

7}•

ÄÓ^K]^]

¾“¿¾k_ÛÍ$×#^$­Òm&$Q$­Òm#šÎ Él%É

Íá

É

уµ

³ © ¸ ©

Z‘úmnoQÏ£&Ù?ؑ#^#%(

ÊÏ ÊÉ

&$Ë#‘Ö¥Ø0Ù¥ÎœÑ ÊÉ

Ü

åbam)pç&

É Ö

åbam)qçæÔ É &Ï£#%(Ù

VV¯'r

© ½

nµË§

¸ ³ ±

±Ó³

¯

) © Â

ÓÍßG§‰Ëòì Q& É ÖÛ§

½

¦ÎÐ)

²R³r AB»CEDu·GFœ·sLSK@Du¸º»

&/’9"7K>-1CNg JF1\9;eNDLK7CP2/'9\BC/!>eAC68P2/NdpmACJF/?P2/hgJF>e/0P?N81C>¤9681\9"pq7C1KP’9JON81C>¯6d> > NvP2JO6?9\/2LQgJ{9B$681$6?9ÔÇRACJOP26dE

n/2>eBX681CLX> Ndnr/ÒhLCJO> P2;e/’9\/f~

T

b

ÖU1KN8; n pqN8;&9BCJO>Æ>eAC68P2/?x"ÑBCJF>ÆLCJF>eP2;e/’9/f1KN8; n¿gJOEFERIR/H7C> /?LJO19\BC/

> /?u7C/2EŒ9\NXN8I€96dJF1>eN8n/$/2>S9\JFn6?9\/2>fN819\BC/$68ACAK; NŽRJFn6?9\/$> N8EO7€9JON81ƒw8J{lm/?1®I\Ç9BC/UiK1CJk9\/QlmN8EO7Cn/

> PoBK/2n/z681CLƒ9N AC; Nlm/9BC/P2N81\lC/2; wd/21CP?/zN8p#9\BC/LKJF>eP2; /h9/z>eN8EO7€9JON81®9\N9\BC//hŽR68P’9z> N8EO7€9JON81 9\N

‹; N8IKEF/?n µ ª?xáª

¸

@Œ68>tr9/?1CLC>¯9NN+8x

(10)

b Ü

É ½

«;Í߉Ê,ÔJ& É ÖEÚ & É &ÖÏ ÊÑ‘Ñ Ê Ø%(*#1Ï£#0ёÒm)?þ“#%$JuyµËÚ

¸

ؑ#^$*Òm#SÑæ#%$GÍÓ>ÓÎ É Þ%$Ê Í É ÑBÓßÍÏ À $ËÍ

áâÒ Ê Þ0Òñ&ß#¨Þ‘Í É Ñæ$×& É $ÐÍ̜#0ߣ#‘&Þ0ÒñÞ‘Í É $­ßÍ(ä̜Í(Μϣ#JÍÓS$­Òm#ÛÏ£#0ёÒm)SóaÍß

³

ü¿ËWu‚µ×Ú

¸

ёÎäÞ0Òñ$*Òm&$

³

ü0µ­¬

¸½³

¯ &)#%) ÊÉ ¦EÔäÓÍߚ&((¦ Ë ÚQÔÐÖ#È{É #Û$­Òm#MÖ ÊÑæÞ0ß#%$×#Q~ T

b É Íß\Ï ÍÓ

³

üöØ0Ù

v ³ ü v T rü ½ ©

Z\ú nµË§

¸ ) © w © ³ ü

) ©  x>  µS«dx¼ª+

¸

áâÒm#0ß#0ÔVÓÍß1& É ÙS§‰Ëòì'Ô

w © ³ ü ½ ³ ¯

±Ó³

±e

ÊÓ §Ëòì&

É

ÖF§

½

¦ÎÂ

³

¯* ÊÓ §Ë£ì †z1ìu¯0Â

áâÒm#0ß#

³

¯lÖ# É Í$Ë#0ÑQ$*Òm#ŸÌœ&(Ά#ƒ$×& l # É Ø0Ù

³ ü Í É $*Òm#GÞ‘Í É $­ßÍ(-̜Í(Μϣ#T¦ & É ÖN$*Òm#ÕÑæ#%$*Ñâì«Ôuì Ôyì

& É ÖÐì¯ &ß#MÖ#È{É #‘Ö ÊÉ /N#È{ÉuÊ $Ê Í É am)g)

bc/¶1KNogŸ/’Ž9/?1CLU6"LCJO> P2;e/’9\/ƋNdJF1CP?68;d3/¶JO1C/2u7C68EOJ{9ÔÇa@€gBCJOPoBHgQ68>ZAC; Nlm/?1JO1J"!(ÇRnr6d; L‡#%$R&(*)¶«-+,+,+-.aJO1

9BK/P268>e/0Ndpt6dLCnJF>e> JOICEF/0n/2>eBC/2>e@9\N9\BC/P26d> /"N8p!Òh6?9ÔÇRACJOP268EOÖ5n/2> BK/2> @t7C1CLK/2;(9BC/nN8;e/; /?>S9;eJFPh9J{lm/

68>e> 7CnA€9\JFN81N8pZuv7K68> J{Փ7C1CJOpqN8;enr1K/2> >HN8pm9BC/5n/2>eBCx

y¶• Ä¥ÄÓ^ ¾a¿À Á½ ¥¤Y\`a] • [ •{z‡˜ ¥§ `a^C]}|• ¥ §Z•9~  '^K£S¥¤[ – Æ þ“#%$KÀؑ#í& É Íãä# É Ø‘ÍÎ É Ö#‘Ö ãäÍ(Ù Ü Í É &( ёÎäØ

î

Ñæ#%$TÍÓ È ÔÉ

½

«AÍß$Ê,ÔÕÚ & É &$*Ù\ã Ê Þ‘&( È{ÉuÊ $×#G̜Í(Μϣ#GÏ£#0Ñ‘Ò ÍÓ5À ÊÉ $*Òm#GÑæ# É Ñæ#1ÍÓ-/N# È{ÉuÊ $Ê Í É

am)g)

þ“#%$

‚

+JёÎäÞ0ÒU$­Òm&$SÈ2€¿nµ×¦

¸

Âs{¦ Ë Ú

0

þ“#%$

³

üÓˁu‚µËÚ

¸

ÔÐ$*Òm# É

v ³ ü v ± > `w c € Ì w v ³ ü v T rü µS«dx¼ª8ª

¸

áâÒm#0ß#QÌ

w Í É (ÙPÖ#×ãä#

É

ÖÑMÍ

É

ÀÕÔÉI&

É

ւ )

z ] ˜Œ˜ƒ:

&/’9

³ ü Ë(u‚µËÚ

¸

gJk9\B

³

ü0µ­¬

¸½*³

¯0@68xF/?x{¬zË ¦z@pqN8;¹68EOE,¦ Ë ÚUx#M“N8EOEONogJO1CwG"W6dEFEON87VX/h9¨#%$R&(*)¶«-+,+,+-.

N8;š"!(njn68;eL‡#%$R&(*)¶«,+-+,+-.O@pqN8;ƒ§…Ë ì#@LC/2iC1K/…„

©

pq;eN8n ȇ† È59N

}

+aÂaª„‰I\ÇW„

©

µ­¬Z°

¸Q½ ªJOp

§Nz‡¬Z°ä.¼€

½ˆ

6d1CL{„

©

µ­¬Z°

¸¯½

+N?9\BC/2;¤gJF>e/2x

(11)

À ‹ ‰

°-µ­¬

¸

¥

¬

M-JOw87C;e/f«8°"‘QN?9\6?9JON81C>

&/’9

³

Ë(u‚µ×Ú

¸

xƍZ/h9 ¥ It/H6w8J{lm/217C1CJ{9#lC/2P’9\N8; x"M“N8;68EOE¬ËÓÀ@REF/h9ŒŠ‰It/9\BC/Q>e/2nJ{›oEOJF1C/HLC/2iK1C/2L

I\ÇÍJ{9>QN8; JOw8JO1C@V¬&@'681CL|9\BC/Hlm/?P’9\N8; ¥ xU&/’9í°¯µ*¬

¸

> 7KPoB9BC6?9í°¯µ*¬

¸

ˍŠ‰zƒÄmÀž681CL ¬Z°-µ­¬

¸ . … À@

gBC/?; /1¬Z°¯µ*¬

¸ .

½}Ž

¬ ´ µ ª

±Ž ¸

°¯µ*¬

¸  Ž

Ë¡"+aÂaª.„µSJOxF/?xâ°¯µ*¬

¸

JF>9\BC/5iC; >¤9ARN8JO1\9gBC/2;e/*‰$n/2/h9>

ÄmÀ

¸

x"&/’9G¦ Ë Ú

/

9\BC681Cׁ>9N09BC/fpq68Ph9!9BK6?9 ¥ JF>!i:ŽŒ/?L‰681CLU9BC6=9Æ9BK/f1v7KnIt/2;N8p&/2LKw8/2>JO>iC1CJ{9/?@

gQ/n6Ç}g; J{9/!9\BC6?9pqN8;68xO/2x ¬zˇ¦z@(N81C/5BC68>

³

¯Š€

©

Z‘ú

w © ³ „ © µ*¬Z°¯µ*¬

¸ ¸

0

K'Ç}9\BC/54687CPoB\Ç †CPoB\g‡6d; ˆJF1C/?u7C68EOJk9ÔÇ8@“9\BC/568IRNlC/JO1C/?uv7K68EFJ{9ÔljÇRJF/?EFLC>

³

ü0µ­¬

¸  € ©

Z\ú w © ³

ü‚

) © „ ©

µ­¬Z°-µ­¬

¸e¸

©

Z\ú ) © „ ©

µ*¬Z°-µ­¬

¸ ¸

0

µS«dx¼ª?«

¸

&/’97C>"AC;eNolC/"9\BC6?9\°

©

Z‘ú ) © „ ©

µ­¬Z°-µ­¬

¸e¸

€

LCJF6dnµ¤À

¸ Ì È

  µS«dx¼ª?Ê

¸

gBC/?; /$Ì

È

e¤+Nd1CEkÇ LC/?AR/?1CLCJO1CwXN81Éax†CJO1CP2/#)

© € «@pqN8;068EOEa§ËUìÆ@ZJk9UJF>H> 7<P?JF/?19f9\NAC;eNlm/

9BK6?9

©

Z\ú

„ © µ*¬Z°-µ­¬

¸ ¸

€

LKJF68nµSÀ

¸ Ì È

«E4

0

µS«dx¼ª6

¸

.0/2n68; ׇ9\BC6?9

©

Z‘ú

„ © µ­¬Z°-µ­¬

¸e¸

JF>&9BC/H1v7KnIt/2;!N8pR/2LCwd/2>!JO1\9/2;e> /?P’9/?L‰IǑŠ‰dx!&/’9«¬ËÓÀcIR/H> 7CPoB

9BK6?9‚*‰rLCND/?>H1KN?9UP?N81\968JO1C>0681\Ç /2LCw8/?x š /2iK1C/

‹

‰|I\Ç

‹ ‰

½¹}i’

˄À"¹ÉRµ

’

Š‰

¸”“

y„8@&68>0> BCNg1

(12)

¸

9BK/21I¦

… ‹ ‰8x‘HNg@¯JFpG*‰}JO1\9/?; > /?P’9\>6‰P2Nd19\; N8EtlmN8EO7Cn/2@J{9rJF1\9/?; >e/2P’9\>/hŽR68P’9\EkÇz9ÔgQN‰/2LCwd/2>5N8p

9BKJF>"P2Nd19\; N8EKlCN8EO7Cn/2@&pqN8;68xO/Õ¬ËÓÀ@¹It/2P?687C> /N8pm9BC/5P?N81\lm/’ŽRJ{9ÔÇÍNdpa¦zx"GQ/?1CP2/

©

Z\ú

„ © µ*¬Z°-µ­¬

¸ ¸

€¿P?68; L

} ¦ Ë Ú

/ ¦ … ‹ ‰,„

0

‘QNg > JO1CP2/

¯t•–˜—

nµË¦

¸ € ‹ ‰ ¸

€¿LCJF6dnµ¤À

¸ Ì T ÈH¢mT

Â

gJ{9BÌ

T

eö+N81CE{Ç LC/2At/21KLCJF1Kw}N81Éa@&7C> JO1Cw9\BC/6d> > 7KnrA:9JON81YSÈ-€ nµË¦

¸

pqN8;068EFE{¦ ËñÚU@mgQ/

N8I€9\68JO1C°

P26d; L

}

¦Ë‡Ú

/ ¦ … ‹ ‰„

½

¯t•–—

ª€

LCJO68nµSÀ

¸ Ì T

4

0

µS«dx¼ª?©

¸

?Q>eJF1Kw|1CNgŵS«8xáª?©

¸

@Dg‡/LC/?LC7CP2/µS«dx¼ª6

¸

681CL$9BC/?1͵¤«8x¼ª=Ê

¸

gJk9\BÌ

È ½

«¶Ì

T x

M“; N8n µS«8xáª?«

¸

6d1CL͵¤«8xáª?Ê

¸

@KgQ/NdI€968JO1

³

ü"µ*¬

¸  €

LCJO68nµSÀ

¸ Ì È

 ©

Z‘ú w © ³

ü™

) © „ ©

µ*¬Z°¯µ*¬

¸ ¸

Â

pqN8;G&)#%)¬Ë ¦z@¹pqN8;6dEFE¦ Ë ÚUx

DÔ1\9/?w8; 6?9\JF1KwrNlC/2;À@(681KLX1CN?9JO1CwQ9\BC6?9

w „ © µ*¬Z°¯µ*¬

¸ ¸

ɬ(€¿LCJF6dnzµ¤À

¸

nµ×§

¸

@ÇRJF/?EFLC>µ¤«8x¼ªdª

¸

gJ{9B

Ì w

N81CE{ǃLC/2At/21KLCJF1KwN81À@&É|681KL‘Rx

ÑBC/"LCJO> P?; /’9\/Q~zT

b

›o1CNd; n nr6ÇU9\BC/21rIt/7C> /?L59\NAK; Nlm/"/’ŽRJO>S9\/21CP?/Q681CL7C1KJFu7C/?1C/2>e>ÆN8pa9BC/>eN8EO7€9JON81

9N‹; NdICEF/?n µS«8xOÊ

¸

›:µS«dx2 ¸

µS> /?/1O!(ÇRn68; L #%$'&(*)«,+,+,+3.¹N8;GOW68EOEFNd7äX/’9J#%$R&(*)¶«,+,+-+-.

¸ °

š Å •˜ ] • Ä ¾“¿À Á›4œ ¥¤Y\[ •v§ ` • ^ § ™Ÿ  § ¥ ~   •§'• Y\YÆ

 É Ö#0ß

Ç

ёёΜÏíãa$

Ê Í É

Ñ4am)gÔJž7ßÍØ%(*#0Ï åbam)Ÿç

î

åbam)hçÛÒm&ÑN&BÎ ÉuÊ

0Îä#íÑæÍ(Îä$

Ê Í É )

@Q1KN?9BC/?;JOnARN8;¤9681\9}AC; N8At/2;¤9ÔǃgBCJFPoBzgQ68>AK; Nlm/?1„JF1;"W68EFEON87VX/h9J#%$'&(*)«,+,+,+3.¶6d1CLgBCJOPoB„68EO> N

BCN8EOLC>0BC/2;e/2@&JO>¯9\BC/nr6=ŽŒJOn7Kn AC; JO1CP2JOACEO/>¤96?9\/2LIt/2EONgxHÑBKJF>HAC; N8At/2;¤9Ôǃn6Ç®IR/5N8p'7€9nN8>¤9UJOn‡›

AtN8;S9\681CP2/JO168AKACEFJOP26=9JON81C>mgBC/2;e/&9\BC/#AKBÇR>eJFP?68EDItN87C1KLC>&N8pK>eN8n/#u7C681\9\Jk9ÔÇzµS>e6Ça@K6"P?N81CP2/?1\9; 6=9JON81

¸

n7K>S9IR/f;e/2> At/2Ph9/?LzI\Ç}9BC/517Cn/2;eJFP?68E&68ACAC;eNŽŒJOn6?9JON81Cx

Références

Documents relatifs

To test whether the vesicular pool of Atat1 promotes the acetyl- ation of -tubulin in MTs, we isolated subcellular fractions from newborn mouse cortices and then assessed

Néanmoins, la dualité des acides (Lewis et Bronsted) est un système dispendieux, dont le recyclage est une opération complexe et par conséquent difficilement applicable à

Cette mutation familiale du gène MME est une substitution d’une base guanine par une base adenine sur le chromosome 3q25.2, ce qui induit un remplacement d’un acide aminé cystéine

En ouvrant cette page avec Netscape composer, vous verrez que le cadre prévu pour accueillir le panoramique a une taille déterminée, choisie par les concepteurs des hyperpaysages

Chaque séance durera deux heures, mais dans la seconde, seule la première heure sera consacrée à l'expérimentation décrite ici ; durant la seconde, les élèves travailleront sur

A time-varying respiratory elastance model is developed with a negative elastic component (E demand ), to describe the driving pressure generated during a patient initiated

The aim of this study was to assess, in three experimental fields representative of the various topoclimatological zones of Luxembourg, the impact of timing of fungicide

Attention to a relation ontology [...] refocuses security discourses to better reflect and appreciate three forms of interconnection that are not sufficiently attended to