• Aucun résultat trouvé

Optimal Rate of Convergence of a Stochastic Particle Method to Solutions of 1D Viscous Scalar Conservation Law Equations

N/A
N/A
Protected

Academic year: 2021

Partager "Optimal Rate of Convergence of a Stochastic Particle Method to Solutions of 1D Viscous Scalar Conservation Law Equations"

Copied!
37
0
0

Texte intégral

(1)Optimal Rate of Convergence of a Stochastic Particle Method to Solutions of 1D Viscous Scalar Conservation Law Equations Mireille Bossy. To cite this version: Mireille Bossy. Optimal Rate of Convergence of a Stochastic Particle Method to Solutions of 1D Viscous Scalar Conservation Law Equations. [Research Report] RR-3924, INRIA. 2000, pp.33. �inria00072728�. HAL Id: inria-00072728 https://hal.inria.fr/inria-00072728 Submitted on 24 May 2006. HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published 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..

(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. Optimal Rate of Convergence of a Stochastic Particle Method to Solutions of 1D Viscous Scalar Conservation Law Equations Mireille Bossy. N° 3924 Mai 2000 THÈME 4. ISSN 0249-6399. apport de recherche.

(3)

(4) 

(5)   

(6)  !"#$ &%

(7) '!)(* +,-.!0/1 2-.!3 . 4 "-('56&%7 98'-.*+:<;= >?+@!"8*+A%7!"   A*+@B -. C D EGF'8 H.*+ I JLKNMOJQPLPQMSRUTWV9V9X Y3Z\[]7^_U`&acbd]e\fhgjikbmlOno^.ilqprikbm]7bhstguitbdlqn v ^stwcsxit[9]7^9sy.lO]7p\fm^zr^9s {)|tlq}~^.isB€B]7^Og ‚ gupƒp„lO|xi v ^H|k^9yZ\^9|kyZƒ^<n† -‡qˆŠ‰j_`&‹Œgub‰uqO`&‡O‡UpƒguO^9s. *Ž 9‘’j“\”q‘q• Y3Z\^

(8) gqbm]?lq–)itZ\bhs˜—™lO|tš›bdsBiklp\|k^9st^nŠiœikZ\^7gunƒgqfmwrstbdsœlu–ikZ\^|gjik^lu–"y.lqncžO^|kq^n„y.^Hlu–Ÿg sxitlryZƒgOs~ikbdypƒgq|xikbdyfm^Ÿ]U^itZ\l v – lO|¡9¢£žcbhstylqeƒs@sty9gufhgu|2y.lOnƒst^|kž¤guitbdlqn˜fdg¤—¥^9¦Šeƒguitbdlqnƒs9§@Y3Z\^ylqncžq^9|tO^nƒy^ |gjik^|k^9ste\f¨i˜bdsH©«ª­¬U®¯°¤±O² ³£´tµW—Z\^|k^³#bhsœitZ\^Unce\]¶†^|˜lu–nce\]7^|kbhygufpƒgu|titbhy.fd^9sBgun v ¬

(9) ® bdsœitZ\^ ikbm]7^˜s~ik^p«lq–,itZ\^œ·ƒ|ksxiŸlO| v ^9|Ÿ¸)e\fd^|3skyZ\^]7^œgqp\p\fdbm^ v itlitZ\^ v wcnƒgu]7bhylu–,ikZ\^œbdnŠit^|gqy.itbdn\pƒgq|xikbdyfm^Ns§ ¹ŒºŠ»W¼k½¾ ’j¿q• acitlryZƒgqsxitbhy˜pƒgu|titbhy.fd^]7^.itZƒl v µƒs~iklryZƒgqsxitbhy˜p\|tlry^9sksx^Nsµr¸)e\fd^|BstyZ\^9]7^q§. Unité de recherche INRIA Sophia Antipolis 2004, route des Lucioles, BP 93, 06902 Sophia Antipolis Cedex (France) Téléphone : +33 4 92 38 77 77 — Télécopie : +33 4 92 38 77 65.

(10) > ++@5* !"

(11)  !"#

(12) . 5x8› "(*'5› › 2-.!38*  . +2'!)( +,F78* *o F'8 . + 8« 5  F78* *+ 5*!™

(13) +@˜ .

(14)  +@!"  .

(15) .0«.+F'8 8*+@+ 8›*5›9  *+.

(16) **  +

(17) 

(18) •  lqeƒs@p\| 9st^nŠitlOnƒsWf  gun„gufdwcst^ v ^fhgžcbmit^9skst^ v ^Ÿy.lOncžq^|kq^9nƒy.^ v  e\n\^Ÿ] itZ\l v ^Ÿpƒgu|titbhy.e\fhgubd|k^ sxitlryZƒgOs~ikbd¦Še\^›p†lqe\|'fhg¥| NsxlOfmerikbmlOn nce\] |kbh¦Oeƒ^ v  N¦Oe„gjitbdlqn„s v ^Œy.lqn„sx^9|tžjgjikbmlOn skygqfdgqbm|k^*žcbhst¦Še\^9eƒst^ eƒn\b v bm]7^n„sxbdlqn\nƒ^fdfm^Ns§ 2^Œ| 9ste\f¨igji v ^Œžcbmit^Nstst^ v ^ y.lOncžq^|kq^9nƒy.^›^9sxi^9nG©«ª­¬U®™¯:°¤± ² ³ ´kµ"l  ³ v 9stbmOn\^fd^

(19) nƒlq]¶ƒ|t^ v ^

(20) p„gu|titbhy.e\fd^9s˜nce\] |kbd¦Še\^Nsœ^i˜l ¥¬U®^Ns~ifm^UpƒgOs v ^ v bhsky.| .itbhskgjitbdlqn^n ik^]7pƒs v eoskyZ 9]7g v  ¸)e\fd^|œgqp\p\fdbd¦Še !Uf" N¦ŠeƒgjikbmlOn v ^fhg v wcnƒgu]7bh¦Še\^ v ^9s3pƒgq|xikbdye\fd^9s3^nobdnŠit^|gqy.itbdlqn2§ #¾ ‘N ¼ %” $

(21) ›• &‹ itZ\l v ^Hpƒgq|xikbdye\fhgubd|t^s~iklryZƒgqsxitbh¦Še\^qµcp\|klry.^9sksteƒs3s~iklcyZ„gqsxitbh¦Oeƒ^9s9µ\styZ 9]'g v  ¸)eƒfm^9|9§.

(22) 

(23)     "! $#%'&() *

(24) +, - .0/123 4 265( .798: *3 .;.2<. ‡. ; =W'5o8!Ÿ.

(25)  ¥> ^y.lOnƒstb v ^9|"itZ\^– lOfmfdlj—bmnƒUžcbhstylqeƒs3skygqfdgq|3ylqnƒst^|kžjgjikbmlOnfhg¤—1^9¦Šeƒguitbdlqn @ ?ACB,D ® ªQ®EGF2´IHCJLM K B K F D ªQ®EGF2´(N B FPO ª D ª­®EQF2´t´EªQ®EGF2´SR ªT<EQUWVYX[Z\E BD ª;T3EQF@´IH D] ª;F2´^B E K B _ ¡q§d¡a` —Zƒ^|k^ Ocb ZedfZ bdsghgi

(26) – e\n„y itbdlqn@§kj n itZƒbdsgu|titbhy.fd^—"^7gunƒgqfmwrst^HitZ\^U|gjit^

(27) lu–™ylqncžq^9|tO^nƒy^lu–Ÿg sxitlryZƒgOs~ikbdy3p„gu|titbhy.fd^]U^itZ\l v – lO|)itZƒ^œnce\]7^|kbdy9gufƒstlqfderikbmlOn'lu–2¸¦ŠeƒgjikbmlOn _ ¡O§m¡l` §m> Z\^n O ªn„´IHon K ± M µ ¸Ÿ¦Oe„gjitbdlqn _ ¡O§m¡l`"bds"ikZ\^Hžcbdsky.lOeƒsqp"e\|tO^|s"^9¦ŠeƒgjikbmlOn @ ?A BLD ® ª­®EQF@´IH JLM K B K F D ª­®EQF@´(N D ªQ®EGF2´ BLD F ªQ®EGF2´GEHª­®EQF@´SRSªT<EGUV(XrZPE BD ª;T<EGF2´IH D] ªF@´GB s K B _ ¡q§ ‰t` u p\|k^žcbdlqeƒsU—"lq|kš¥pƒ|tlOp„lŠsx^Nsg¥s~iklcyZ„gqsxitbhypƒgq|xikbdyfm^›]7^.ikZ\l v – lq|UikZ\^onŠeƒ]U^9|tbhygqf"stlqfderikbmlOn lu–BitZ\^ p"e\|kq^9|ks"^N¦Oe„gjitbdlqn st^^p"lŠststwgun v Ygufhg¤w6v ‰rµƒ‡lwx` §"Y3Z\^H]7^.ikZ\l v bhs¶ƒgOsx^ v eƒp„lOnoitZ\^Hp\|klq¶„gu¶\bdfmbhsxitbhy bdnŠit^9|tp\|k^.igjikbmlOn«lu–2ikZ\_ ^p™eƒ|tO^|s^9¦ŠeƒguitbdlqngOs™itZ\^˜^žOlqfderitbdlqn«^N¦ŠeƒgjikbmlOnlu–@itZ\^y.e\]

(28) e\fhgjitbdžq^ v bhs~ik|tbd¶\ey ikbmlOno– e\nƒy.itbdlqn lq–Ÿg«s~iklryZƒgqsxitbhyHn\lOn\fmbdn\^Ngu| p\|klry.^Nsts _ bmnitZ\^

(29) sx^9nƒsx^lu–™‹Œyz^9gun{` § Y3Z\^Ugufdqlq|kbmitZ\] bds bdnƒstp\bd|t^ v – |tlO] gHpƒ|tlOpƒguŠgjitbdlqnUlu–2yZƒgqlOs)|k^9ste\fmi– lq|ŸitZ\^˜sxwrsxit^9] lq–WbdnŠit^9|kgOy itbdn\p„gu|titbhy.fd^9sgOststlry.bhgjit^ v ikl7itZ\^n\lqn\fdbdn\^9gq|p\|tlry^9sks§S|ƒlq|ikZ\^|gjik^˜lq–-ylqncžq^9|tO^nƒy^˜gqnƒgufdwrsxbhs9µritZ\^Hbdn\bmitbhgufy.lqn v b¨ikbmlOnolu– _ ¡q§ ‰t` bhsste\p\p†lOst^ v ikl¶†^«ikZ\^*ye\]e\fhgjikbmžO^ v bhs~ik|tbd¶\erikbmlOn£– e\nƒy.itbdlqn lq–gp\|klq¶ƒgq¶\bmfdbmi~w]7^9gOsxe\|k^qµlq|

(30) ]7lq|k^ O^n\^9|kgqfmfdwqµNikZ\^ v bdsxit|kbm¶ƒeritbdlqn– e\nƒy ikbmlOn

(31) lq–„g˜sxbdqn\^ v gun v ·ƒn\bmit^3]7^9gOsxeƒ|t^O§(} n v ^|ste\b¨igu¶\fd^"ZŠwcp†luikZ\^9stbds lOn'itZƒbds"bdn\b¨ikbdgqf sxbdqnƒ^ v `Ÿ]7^9gqste\|k^qµŠ—™^Bp\|kljžq^ v g

(32) y.lOnŠžO^|kq^9nƒy.^|gjik^ lu–@lO| v ^|3©«ªx°j±q² ³¯¥² ¬U®´– lq| ikZ\^~\jª;Z€X6B´_ n\lq|k] lq–ikZ\^^9|t|klq|Nµc—Z\^|k^³bds3ikZ\^nce\]

(33) ¶„^9| lu–)sxbd]eƒfdguit^ v bdnŠit^|gqy.itbdn\7pƒgu|titbhy.fd^9s gqn v ¬U®@bdsitZƒ^™ikbm]7^sxit^pUlu–„itZ\^ v bhsky.|k^.itb‚9guitbdlqn¶cwikZ\^¸)e\fd^|skyZ\^]7^"lu–ƒikZ\^s~iklryZƒgqsxitbhy v b-ƒW^|k^nŠitbhguf stwrs~ik^]Oljžq^9|tn\bdn\itZ\^Hpƒgq|xikbdyfm^Ns3]7luitbdlqn@§ |ƒlq|™itZ\^p"e\|tO^|sŸy9gqst^qµŠnŠeƒ]U^9|tbhygqf„^zrp„^9|tbd]7^nŠiks"y.lOnr·ƒ|k]:itZ\^˜lq| v ^|©'ªt°¤±O² ³£´– lO|ŸikZ\^ v ^p†^ny v ^nƒy^'lqn ³£µ@¶\e\i

(34) sxZƒlj— itZ„gjiHitZƒ^ v ^p†^n v ^nƒy^'bmn ¬U®Bbdslq–"lO| v ^9|

(35) ©'ª ¬U®k´œ|kguitZ\^9|itZƒgqn ©'ª ² ¬U®´ sx^9^rv ‡rµ)¡w„`.§ j nSitZƒbdsHpƒ|t^9žŠbdlqe„sœ—"lq|kšWµWitZ\^7^|k|klq|˜^9sxitbd]7guit^7—3gqs˜lq¶rigubdn\^ v ¶cwoitZ\^'e„sx^Ulu–™itZ\^'|gjik^ lq_ –3ylqncžq^9|tO^nƒy^7bmn†~ K ªB´˜lu–"itZ\^¸e\fm^9|

(36) skyZ\^]7^'—Z\^9|t^Ngqs9µ@bdn itZ\bhsstlq|tilu–nce\]7^|kbhyguf™y.lq]7p\e\ikgy ikbmlOn2µOitZ\^˜g¤žq^|guObmnƒ˜^ƒ†^Ny i v e\^iklitZƒ^œp\|klqpƒgqOguitbdlqnUlu–@yZƒgqlOs)p\Zƒ^n\lO]U^9nƒgste\qO^9sxiitl

(37) gunƒgqfmwrst^itZ\^ v bdsky.|k^.ikb-‚Ngjitbdlqn*^|k|tlO|3—b¨ikZ›^Ns~ikbm]'guit^9s3lOnikZ\^H—"^9guš|kguit^lu–-y.lqncžO^|kq^n„y.^ – lO|3itZ\^¸e\fm^9|œskyZ\^]7^q§ j n*itZ\bhsgu|titbhy.fd^qµc—"^B^zcit^n v lOe\|"sxitlryZƒgOs~ikbdyBpƒgq|xikbdyfm^˜]7^.itZƒl v – lq|"ikZ\^+p"e\|kq^9|ks™^9¦Šeƒguitbdlqn*bmn*itZ\^ O^n\^9|kgqf†ylqnŠit^zci"lq–@žcbdsky.lOeƒs3sty9gufhgu|3y.lqn„sx^9|tžjgjikbmlOn«fhg¤— ^9¦ŠeƒgjikbmlOn _ ¡q§d¡a`™gun v —™^˜p\|kljžq^˜gikZ\^lO|t^itbhyguf |gjik^lu–ylqncžq^9|tO^nƒy^œlq–lO| v ^9|œ©'ªt°¤±q² ³¯ ¬

(38) ®k´k§ Ylœy.lOnƒsxit|keƒy i2lOe\|@gufdqlO|tbmitZƒ]›µN—"^-– lqfdfmlj—ˆ‡ulOe\| v gubdn‰v ŠlwŠ—Z\l ObmžO^9s2g3p\|klq¶„gu¶\bdfmbhsxitbhy-bmnŠit^9|tpƒ|t^ikgjikbmlOn lq–™n\lOn\fdbmn\^Ngu|pƒgq|kgq¶„lOfmbhy{¢˜¸  ssteƒyZ¥gOsBitZ\^7žcbdsky.lOeƒssty9gufhgu|y.lOnƒsx^9|tžjguitbdlqnfhg¤— _ ¡q§d¡a` µ@—Z\^n O bds grg– e\nƒy.itbdlqnSgqn v bdsHgn\lqn y.lOnƒsxikgunŠiB– e\nƒy ikbmlOnS—bmitZ¥¶†lqe\n v ^ v žjgq|tbhgjikbmlOn2§kj n‹v Šw µ(‡ulOe\| v gubdn pƒ|tljžcb v ^9s g«nƒgjike\|kgqf2—3D ]g¤wikly.lOn\n\^9y.i _ ¡O§m¡l`3—bmitZg'nƒlqn\fdbmnƒ^9gu|B]'gu|titbdn\Ogqfm^Hp\|klq¶ƒfm^9]gqn v p\|kljžq^9sg pƒ|tlOpƒguŠgjitbdlqnlu–yZ„gulOs3|k^9ste\fmi3– lq|3itZƒ^sxe\bmikgq¶\fd^stwrs~ik^]lq–—"^9gqšcfmw'bdnŠit^|gqy.itbdn\Upƒgu|titbhy.fd^9s9§Œ ^|k^—™^ ¶ƒ|tbd^ Žƒw*p\|k^9st^nŠi3itZ\^]'gqbmnob v ^9gOsgun v stlq]7^H|t^Nsxeƒf¨is3lqno—Z\bhyZ›—"^H¶ƒgOsx^HlOe\|nce\]7^|kbdy9guf2gufdqlO|tbmitZƒ][ —"^ ste\p\p†lOst^oitZƒgui«itZ\^9|t^Œ^zrbdsxi*g ¶†lqe\n v ^ v gun v stbdqn\^ v bdn\bmitbhgufB]U^Ngqste\|k^[ ]€H’ ‘ T lqn“ZAgun v g ”•”—–˜3™š›œ.

(39) _. "l  . ylqnƒsxikgqnŠi  steƒyZoitZ„gji ªF2´Ho¯

(40) q ªF2´kµ,—Z\^|k^ ªF2´\H<f v ^n\lqit^9s itZ\^‰Œ ^Ng¤žcbdstb v ^ – eƒnƒy ikbmlOn2§ 2^i  ] ¨µD  ] ] gqn v v ^nƒluit^o] |k^9stp„^Ny ikbmžO^fdw itZ\^ gq¶ƒsxlOfme\it^o] žjgufde\^olu–" ] µ™itZƒ^oitluiguf žjgq|tbhgjikbmlOn

(41) lq–{ ] gun v g v ^9nƒsxbmi~wlq–{ ] —bmitZ'|k^9stp„^Ny i-itlikZ\^ p\|klq¶ƒgq¶\bdfmbmi~w]7^9gOsxe\|k^  ]  ± ] —bmitZ žjgqfme\^Ns)bdn  N  ] lE ]  Š§m|ƒlq|"! gp\|klq¶ƒgq¶\bdfmbmi~w]7^9gOsxe\|k^lqn0gUª$# T3E¯% ´GEGZ™´kµ„—"^ v ^.·„n\^itZƒ^Žƒlj— ª &! '(´ '  ] lq–stbmOn\^ v ]7^9gqste\|k^9s3lOn[Z1¶Šw )+* -R ,Bª;Z™´^E &! ' ª * ´. H .0/˜ªQ0f 133ª 2 ' ´  3ª 2 ] ´x´^E —Zƒ^|k4^ 2 v ^nƒluit^NsikZ\^

(42) y9gun\lOn\bdy9guf2pƒ|tlry.^Nsts lqn gU$ª # T3E¯ % ´GEGZ™´k§ >¥^

(43) gqskstlcybdguit^ikZ\^– lOfmfdlj—bmnƒ']7gq|Qy ikbmnƒOgufd^p\|klq¶\fd^] ikl'¸¦ŠeƒgjikbmlOn _ ¡q§d¡a`  5›7º 698;: ‘ : <¾ 8>=@?3=BA

(44) " C{GE D^E D „ „( GF  l *G ! R H«ªgUIª # T<E ¯ % ´^EGZ™´ ) W k  *2r !;

(45) W2{2 „2{ . F „72 J K C{GE D -L FNMPO  „72 J[   ] OS ! ! ] Q H   ]  @±  ]  .2{W! .  t S R Rrg TK ª;Z™´ O ' R 3ª 2 ' ´(N R Uª 2 ] ´(W N V JLM K R<Y Y Uª 2[ZN´W¯ O Y Uª *\¯ ] W0&! ZN3ª 2[ZN´x´ R@Y 3ª 2^Z¤3´ _`ba ) ! F‰ .;„b2 J .-c _ ¡q§ ‡ ` ] X B >¥^ v ^.·ƒn\^¥g stwcsxit^9] lq–³6pƒgu|titbhy.fd^9sbmn1]U^Ngun ·ƒ^9f v bmnŠit^9|kgOy ikbmlOn ¶Šw itZƒ^ – lqfdfdlj—bmn\ s~iklcyZ„gqsxitbhy v b ƒW^|k^nŠitbhguf,^N¦ŠeƒgjikbmlOn ' 2' dUe f g H 2h] die f ¯ Jkj ' d ¯ V O Ymnl *¯ ³ ° o f £Uª 2 Z dUe f rN 2 Zp e f ´  Uª 2 ]p (´ stu`ba E pIq  ]' H 2 ] die f ¯ kJ j ' d ¯ V O Y<v «\¯ ] w & Zf Uª 2 Z dUe f y´ x`ba E˜° z|{"z ³ E g ] —Zƒ^|k^ w f H f| } df q  ~c€‚(ƒ „ bhs˜itZƒ^U^9]7p\bm|kbhyguf-]7^9gOsxeƒ|t^Ulu–™itZ\^7pƒgq|xikbdyfm^Ns˜gqn v ª j Esss E j f ´bds gS³ry v bm]7^9nƒsxbdlqn„gufqp™|klj—n\bhgun ]7lqitbdlqn bdn v ^9p„^9n v ^nŠi'lu–œitZ\^obdn\b¨ikbdgqf3ž¤gq|tbhgu¶ƒfm^Ns«Uª 2 ]  e f Esss E 2 ] f‚e f ´ —ZƒbdyZogu|k^j § j § ¢<—bmitZofdg¤N—   ]  ±  ] ¤§ ’ <¾ †¾  : ‘ : ¾ 8=@?ˆ‡B‰‹Š *G „S2 ŒŽŽ( A

(46)  F‰ .;„b2 J .- C{GE D -L F>M  „72 J .  ] F$„ *2: *3 . *;.2 ! 2{  ‘ C .;-0 l L F Uª 2  e f Esss’E 2 f“e f ´ ^ !S”   t.; [G.4l$ Oq8:*3 2 _Y3¡qZƒ§d¡a^"` pƒ |tlO lpƒ gu 0Šgj*it23bdlq:n*3lu  –†D^yZ„*gu2,lOts|k^9st7Se\f¨i)– •$bd]7 p\ fm*bd^9sik-2 ZƒgjJ.˜i „4œW2¯ D—  D ª­f ®EQF2 £´H ªFq*GN \¯2 di Be f ´  &! Uª ' 2 ªF@´ ´mgH œ^¯ g ª;F2´ ' d w 'f ylqncžq^9|tO^9s™bmn ~q¤ªB´)ikl D ª­®EQF2´ _ sx^9^ v Š.w„`.§1j nop\|gqy ikbdf y^˜} itZ\d ^ q  2 ' dUe f  s y9gun\n\lqi¶„^] ylq]7p\erik^ v ^.z\& gqy.itfdwq§ Y3Zƒ^ gufdqlq|kbmitZ\] bdncžqlOfmžO^9sitZ\^9bm|™gup\p\|kl¤zrbm]'guitbdlqn¶cwUg v bdsky.|k^.ik^ y­itbd]7^3sxitlryZƒgOs~ikbdy"p\|klry.^Nsts3ª ™2 d ' Eœ° z {‚z$³£´tµ\—Z\^9|t^¬U®™bdsg v bdsky.|k^.ikb-‚Ngjitbdlqnosxit^polq–ikZ\^itbd]7^HbmnŠit^9|tžjgq"f # T3EQUV §Y3Z\^no—"^Hy.lqn„s~ik|tš—eƒ› y.i lqe\| gqp\p\|kl¤zrbm]'gjikbmlOn«lu– D ª­®EQF@´¶Šw ° f ' N ™2 šd › ' ´GE D ™ šf‚› e '› ª;F2´IH *¯ ³ o d q kž d ªF0Ÿ  i¡m”k ˆ¢.

(47) 

(48)     "! $#%'&() *

(49) +, - .0/123 4 265( .798: *3 .;.2<. —Zƒ^|k^itZ\^˜—"^bdqZŠi d bds v ^.ik^|k]7bmn\^ v ¶cwUitZ\^˜bmnƒb¨ikbdgqf„p†lOstb¨ikbmlOn«lu–,ikZ\^‘{ 'pƒgq|xikbdyfm^O§m}œn v ^|st]7lŠlqitZy nƒ^9sks3ZŠwcp†luikZ\^9st^9s3lOžn D ] gun v O µ\—™^p\|kljžq^BitZ„gji .“ D ª;UWE m´(N N D ™ f‚e › ' ª m´ r¯  . D ªUWEGF2´(NND ™ f‚e › ' ªF@´ H© ² ° ³ ¯ ¬U® _ s X Y3Z\^«·ƒ|ksxi—"lq|kš lqn ikZ\^«lOpritbd]'gufŸ|gjik^'lu– y.lOncžq^|kq^9nƒy.^7lq–"ikZ\^¸)eƒfm^9|

(50) skyZ\^]7^'– lO|bmnŠik^|gqy ikbmnƒ p„gu|titbhy.fd^œsxwrsxit^9] bhs v e\^ ikl zBlqZƒguikstey ŒœbmŠggun v €BŠg¤—"g$v aw §)Y3Z\^w'gun„gufdwcst^3itZƒ^By.lOncžq^|kq^9nƒy.^lq–,itZ\^ —"^9gqš«gup\pƒ|tl¤zrbd]7guitbdlqn*lu–g7O^n\^9|kgqfWn\lqn\fdbdn\^9gq| v b ƒWeƒstbmlOn›pƒ|tlry.^Nsts"lq–ikZ\^– lq|k] `2 ' H †Uª 2 ' E g ' 3ª 2 ' ´t(´ `Š®@¯ ¤3ª 2 ' E ' Uª 2 ' ´x‹´ ` j ' Ex—Zƒ^|k^ ' bhs"itZ\^Hfhg¤—1lq0– 2 ' µ ¡q§ _ ` 2 'q ] g H 2 ] —b¨ikZofdg¤—  ] s _ are\p\p†lOst^

(51) ikZƒgjiHikZ\^U– e\nƒy.itbdlqnƒs †µ jµ gqn v gq|t^7sx]7lcluikZS—bmitZ ¶†lqe\n v ^ v¥v ^|kbdž¤guitbdžq^Nsµ,ikZ\^weƒsx^ ‹ gufdfmbhg¤žcbmnŒygqfdye\fdeƒs3itl*sxZ\lj—1itZƒgui9µ„– lq|œgqncw«– e\nƒy.itbdlqn g —Z\lOst^ v ^9|tbdžjgjitbdžq^NsZƒg¤žO^Hp„lOfmwcn\lO]Ubhguf O|tlj—3ikZ*gui3bdnr·ƒnƒb¨i~wOµ . ³ ° o f 9ª ™2 šd › ' ´Yr N . Uª 2 ' ´ zogUª ² ° ³ ¯ ¬U®k´GE dq  —Zƒ^|k^hgAbhsbdn v ^9p„^9n v ^nŠi7lu–B¬U®gqn v ³ ¶\e\i v ^9p„^9n v s

(52) lqn gqn v ª ™2 š—d › ' ´ d q  e e f bdsitZƒ^›ylq|k|t^y stp†lqn v bdn\ v bhsty|t^it^˜itbd]7^sxwrsxit^9]lu–-bmnŠik^|gqy ikbmnƒ

(53) pƒgq|xikbdyfm^Ns§ j nHikZ\^3y.lqnŠik^.zci@lqnitZ\bhs@pƒ|t^Nsx^9nOi—™lO|tšWµ $H Y ¶\eriitZ\^ v b ƒWeƒstbmlOny.lc^ 'ybm^9nŠi -bhsgœy.lqn„s~igunŠigun v bhs˜itZ\^'¶†lqe\n v ^ v ¶\eri v bdsky.lOnŠitbdnŠeƒlqeƒsŒ ^Ng¤žcbdOstb v ^

(54) – eƒnƒy ikbmlOn §0|\e\|titZ\^9|t]7lO|t^Oµ2—™^«gqp\p\|kl¤zrbm]'gjik^ ikZ\^7y.e\]

(55) e\fdguitbdžq^ v bdsxit|kbd¶\eritbdlqn– e\nƒy.itbdlqnlq"– 2 ' §Y3Z\^

(56) ]'gqbmn v b «ye\f¨i~wŒlq–Ÿlqeƒ|B|gjik^lu–Ÿylqncžq^9|tO^nƒy^ gqnƒgufdwrsxbhs|t^Nsxb v ^Ns-bmnUitZƒ^3it|k^9gjik]7^nŠi)lu–†itZ\^šO^|kn\^f £§m>¥^ v ln\luieƒst^ ‹Œgufdfdbdg¤žcbdnUy9gufhy.e\fdeƒs9µu¶\eriigušO^ p„gu|ti"lq–@itZƒ^ygqst^˜—™^Hgu|k^˜lu–ylqnƒsxikgqnŠi v b-ƒWeƒsxbdlqnŒylŠ^ «y.bd^nŠi3itl'g v gqprisxlO]U^˜ik^9yZ\n\bh¦Še\^9s v ^9žq^9fmlOp„^ v ¶cw'Ygufhg¤wUgqn v Ye\¶ƒgu|kl0v ˆwWbmnitZ\^9bm|3sxite v w7lq–2itZ\^Bqfdlq¶ƒgqf„^9|t|klq|Ÿlu–,itZƒ^˜¸)eƒfm^9|"skyZ\^]7^œ– lq|3s~iklcyZ„gqsxitbhy v b ƒW^|k^nŠitbhguf„^9¦ŠeƒguitbdlqnƒsŸfmbdn\^9gq|bdn'itZ\^˜sx^9nƒst^ lu–‹Œyz^9gqn2§Yl v l

(57) sxl„µq—"^Bsxit|k^n\qitZ\^9n7itZ\^BZŠwcp†luikZ\^9stbds bdnˆv ‰cµ„‡.w@lqnoikZ\^bdn\b¨ikbdgqf@y.lOn v bmitbdlqn D ] bdnŒlq| v ^|3ikl«—™lO|tš—b¨ikZoitZ\^yfdgOststbhyguf2stlqfderikbmlOn›lq–¸¦ŠeƒgjikbmlOn _ ¡q§d¡a`.§ .--(* *5 !™

(58)  *!™#  |bd|ksxi9µr—"^Hs~igjik^Hlqe\|Zcwcp„lqitZ\^Nsx^Ns§ _ ŒŒ˜‰t¡a``AA

(59)

(60) \G!h*2{ ); ".2 6O )23  Q !2   l  g2,6 i [  Jt2{6 2,D^*2,t-F ^  *G02 Z  HT *3    ]6‘ _  „2„; .m2,„2 D3]  !"8W: *3 .;.2 ¡O§m¡l` ) J.„4W2 D— ªD ] ;F2´Hg_ *¯ P ] ª;F2´Gs . . . .

(61)   

(62)  . . . . .  . . . . "!. $#. &%. ('. *). ,! -' -#. &%. +%. ). /.. . ..  . 1.. ,0. . 32.  . . . . . 4.. 555. !. 6. #. 6. 6. 8. 9. :. ”•”—–˜3™š›œ. 7'.

(63) "l   Š. _ ŒB‡ `gtA 

(64) 2< „F ( l ] *G)  -]DG.*) r2{ E^D+!  **2,   2 .237„„23 *3D^*

(65) * 02,7t„; †SG  ‹C.Gkt   ;

(66) 0„45• „ c4lD^ ‹ J.*3 F G. l 4l *$GO\ ;

(67) G;  ) 1   ‘C<l „;„4‰2<  2  O † .2{ *3 ;

(68) .   ]  ª;F2´ z 

(69)  ,ªGN ´ O3!  „  9F  B K >¥^oy.lqn„s~ik|teƒy.i7g –Lgu]7bdfmw ª  ]d E d ´   d  f lu–œ—"^bdqZŠik^ v bdn\bmitbhguf3pƒgq|xikbdyfm^Ns

(70) steƒyZ ikZƒgjiUitZƒ^*p\bd^9y^—bhsx^ ylqnƒsxikgqnŠi"– eƒnƒy ikbmlOn ž ° o f d £ª;F0N  d ´ ; ª 2 F I ´ H g *  ¯ D] ³ dq  ž ] gqp\p\|kl¤zrbm]'gjik^9s D] ª;F2´k§˜‹ŒgqnŠwosxit|gjit^9qbd^9s gq|t^p„lŠststbm¶ƒfm^O§ u sBsxe\Oq^Ns~ik^ v bdn†v Šw­µWlqnƒ^ygqn yZ\lclOst^HitZ\^ v ^nƒstb¨i~w  ªF@´IH  ]  v 9f   ( ]  ¯ 0f    $]  x s Y3Zƒ^«³ fmlryguitbdlqnƒs«ª  ´Bgu|k^'yZ\lOst^n bdn£lq| v ^|ikl gup\p\|kl¤zrbm]'guit^UitZ\^ v bdsxit|kbd¶\eritbdlqn – eƒnƒy ikbmlOn£lu–3itZ\^ ]7^Ngqste\|t^^   ]  @±  ] œ]d ¶cwgUp\bm^Ny.^9—bdst^Hy.lqn„s~igunŠi3– e\nƒy ikbmlOn2§1>¥^HbmncžO^|ti™ikZ\^ v bhs~ik|tbd¶\erikbmlOn*– eƒnƒy ikbmlOn ? "!$# % & V('    ±  j3ª ` F2´IH {  mE {IH °tEsss Et³—N$°tE ³ °  ]d H @ A ) ] ] "!$# % & V('   ]  ±  ] j3ª ` F2´IH °N M ³  mE {IHG³ ) gqn v itZƒ^Ÿy.lO|t|k^9stp„lOn v bdn\3—™^9bmOZŠiks2gq|t^ d H  ª  ]d ´kµ9– lO| {H °tEsss Et³£§ 2^i  ] v ^n\lqit^)ikZ\^ŸgOststlry.bhgjit^ v ^9]7p\bm|kbhyguf,]7^Ngqste\|t^ ž  ] H ³° o f d ~  s _ ‰r§d¡a` qd  ž '* p"wylqnƒsxit|keƒy.itbdlqn2µ  D ] N D ]  ,+ kzQ ] 9± ³ s ‰r§ ‰t` _ Y3Zƒ^ylqncžq^9|tO^nƒy^ – lO|3itZ\^~q¤ª;Z™´œnƒlq|k]bds v ^9sky.|kbm¶†^ v ¶cw -™º   “ ‡k?U=N‰   ^ /. A - -Œ10I(   * F  ‰32 0 A

(71) G  t) ; h ^.2<  23 g y C<2{„b2 J†2  ] .23 ‰ *3 h;

(72) .  D] N D ]  kzog 4 576/8ƒªQ³£´ ± ³6s !   23 „3 9 ]

(73)   F C  \ –* CC<3 O1;

(74) S DG.*2{‰) g± ³ €Bn'gB·ƒfmit^|k^ v p\|klq¶ƒgq¶\bdfmbmi~wsxp„gqy.^ª +;E :[;E : ' ;E <Ÿ´tµu—"^y.lqn„sxb v ^|)g³ry v bd]U^9nƒstbmlOnƒgufWª : ' ´;y p"|klj—n\bhgun ]7lqitbdlqn¥ª j lEsssE j f ´t§ u ssxeƒqq^Ns~ik^ v ¶ŠwitZ\^p\|klqp„guOguitbdlqn«lq–-yZ„gulOs"|k^9ste\fmi3bdno{)|tlOp„lŠsxbmitbdlqn¥¡q§ ‰rµ $:. . * . * . 0. 0. . . :. .  i¡m”k ˆ¢.

(75) 

(76)     "! $#%'&() *

(77) +, - .0/123 4 265( .798: *3 .;.2< . iklUylqnƒsxit|keƒy.i"gun›gup\pƒ|tl¤zrbd]7guitbdlqn'lq– D ª­®EQF2´kµr—™^˜Zƒg¤žO^ itl

(78) ]7ljžq^œlOe\|3³ pƒgq|xikbdyfm^Ns"gOyylq| v bmnƒHitl

(79) itZ\^ – lOfmfdlj—bdn\Ustwrs~ik^] lu–sxitlryZƒgOs~ikbdy v b-ƒW^|k^nŠitbhguf,^N¦Oe„gjitbdlqn„s ? @ A `E2 ' d H J ` j ' d ¯ O Y ln *¯ f  o f p £Uª 2 ' d Nh2 'p ´(stu`Š®EK{mH<° Esss Ek³ E pIq @ ž 2 ] d H  ]d s Y3Zƒ^˜pƒbm^Ny.^—bhst^y.lqn„s~igunŠi™– eƒnƒy ikbmlOn ° o f d ªF0rN 2 ' d ´  ª­®EQF@´Ig H *  ¯ D ³ d q  ž gqp\p\|kl¤zrbm]'gjik^9s D ªQ®EGF2´-—b¨ikZ*gun^|k|tlO| v ^p†^n v bmnƒ

(80) lOn³?lqnƒfmwO§-YlO^.i3gstbm]

(81) e\fdguitbdlqn'p\|klry.^ v e\|k^– lq| gUik|kgu}~^9y.itlq|kwlq–^NgqyZ£3ª 2 d ´kµ„—"^ v bhsty|t^itb‚^bdnoitbd]7^q§ ™Z\lOst^¬U®gun v  R  sxeƒyZoikZƒgji"U H ¬

(82) ®  gqn vv ^n\lqit^˜¶Šw'® H \¬U®-itZ\^ v bhsty|t^it^Bitbd]7^9s9µŠ—bmitZ¥œ° z z  §)Y3Z\^¸)e\fd^|skyZ\^]7^œfd^9g v s™itl

(83) itZ\^ – lOfmfdlj—bdn\ v bdsky.|k^.ikš ^ y­itbd]U^Hstwrs~ik^] ? @

(84) A d'  H d' ¯ J j ' d  N j ' d ¯ ¬

(85) ® O Y ln *¯ f  o f p £ª d' N ' p ´ steKE {IH<°tEsssEt³ E pIq  ž d ] H  ]d Y3Zceƒs3—"^Hgup\pƒ|tl¤zrbd]7guit^ D ª­® š EQF@´tµƒstlqfderitbdlqn›lu– _ ¡O§m¡l` µr¶cw«ikZ\^Hp\bd^9y^—bhsx^Hy.lOnƒsxikgunŠi"– e\nƒy.itbdlqn ° f D ' ª;F2´gH *¯ ³ o d q  ž d £ª;F N d' ´Gs _ ‰r§ ‡ ` €Beƒ|^9sxitbd]7guit^lqn*itZƒ^y.lqncžO^|kq^n„y.^œ|gjik^bds  ºc¾ ’ º  ‡k? ‡  ^ * F  ‰ 2 $# –O ‰32  2{ ‰32 0• U  T 

(86) –Ok- ¬

(87) ®  T DGr *3 ˆ   UCH ¬

(88) ®  O  R  95( D ªQ® š EGF2´ D^0;

(89)   *2o +;ˆ F  ® š  H \¬U® Q! 8:*3 2 ¡q§d¡a` 7„ „2„; .P2,„2 D ] 05• D ' ª;F2´ D^ht12{6  $„2 _ ‰r§ ‡ ` 7„; ³ C<  - L A

(90) 2‹;

(91) _ G0 ) ; ;  C<l „„4l 23  2 g O‰ y C<2{„b2 J9.2 D ] O O O J .2{ U 2  *3 9  P! . „  „2 Š°tEsssE   O °  . D ªQ® š EGF2´(N D ' ª;F2´ z g X  D3] N D ]  + c¯ ² ³ ¯ ¬U® _ .2{ . D ª­® š E m´(N D ' ª m´  z g  D ] N D ]  c¯ ² ° ³ ¯ ¬U® _ s X 32. . 32. 32. 32. 32. 2. . 32. 32. -:. :. 32. 

(92)  . 2.  .  . . . ”•”—–˜3™š›œ. . . 32 .

(93)   .   .

(94) "l  . </ '  (*   > bmitZƒlqeri"fmlŠs~i"lu–2q^9n\^|gufdbmi~wqµq—"^œstbm]7p\fdbm– w

(95) ikZ\^˜p\|t^Nsx^9nŠikgjikbmlOn7lu–,itZƒ^œp\|klclu–2¶cw

(96) |k^9sxit|kbhy itbdn\lOe\|sx^9f¨–Witl ikZ\^ygOsx^H—Zƒ^|k^qµrbdn gqsksxe\]7prikbmlOn _ ŒB‰ ` µ\ikZ\^ylqnƒsxikgqnOKi  H T'gun v D ] bhs3itZƒ^ v bdsxit|kbd¶\eritbdlqn›– e\n„y itbdlqn lq–gUp\|klq¶ƒgq¶\bdfmbmi~w«]7^9gOsxe\|k^q§)Y3Zceƒs9µr—™^|k^p\fhgqy^˜itZ\^gOstste\]7pritbdlqn _ Œ˜‰t`"¶cw _ ŒB‰ Y g` A ¡O

(97) §m¡l`Gr)  J.)„ 4 02 D—C{GE D^E D „ „( F  l *G  ] *3 ;

(98) " 0„2„; .\2,„2 D ]  ! 8:*3 2 _ D ] ªF2´H P ] ªF@´Gs Y3Zƒ^«—™^9bmOZŠiks d – lO4| { H ° Esss Ek³ gu|k^'n\lj— gufdfŸ^9¦Šeƒgqfikl ¡q§Y3Zceƒs9µ—™^›gup\p\|kl¤zrbm]'guit^ D ª­® š EQF@´tµ stlqfderikbmlOn*lq– _ ¡Ož §m¡l`3gji3itbd]7^® š µ\¶cw'ikZ\^Hp\bd^9y.^9—bdst^Hy.lOnƒs~igunŠi3– e\nƒy.itbdlqn 'D ª;F2´1H ³ ° o f £ªF0N d' ´GE dq  —bmitZ ? @ A d'  H d' ¯ J j ' d  N j ' d ¯ ¬U® O Y ln f  o f £ª d' N ' p ´ ste’E {H<° Esss Ek³ E pIq  d ] H  ]d s j nikZ\^™st^9¦Še\^9fQµ¤—"^)—bmfdfŠeƒsx^itZ\^"y.lqnŠikbmnce\lOeƒs,žq^9|kstbdlqnlu– v bhsty|t^it^)ikbm]7^™p\|tlry^9sksx^Ns-ª d ´„—ZƒbdyZylqnƒstbdsxiks bdn›– |t^9^‚9bmn\

(99) itZƒ^ v |tbm– iœy.lc^ 'ybm^9nŠi lqn›^9gqyZ›bdnOik^|kžjgu"f # ® š Et® š  V  ' ¯ V O Y D  Z ª  d Z ´ `ba™¯ kJ j ' d E ‡\§d¡a` d' H  ]d. _ ] —Zƒ^|k^  (ª aq´PH š ] e e

(100)  N® š &k® š zuaŠ§"g v ^nƒluit^NsœgqnŠw›p†lOstb¨ikbmžO^y.lOnƒs~igunŠi v ^9p„^9n v bdn\lOn\fdw*lOn Uµ J µ O gun v D ] – lO| guncw«p†lOstb¨ikbmžO^ylqnƒsxikgqnŠi µ  v ^9n\luik^9s"ikZ\^ gueƒskstbdgqn v ^9nƒstb¨i~w'– eƒnƒy ikbmlOn ,ª;F2´IH ² M° 

(101)  N MF K _ˆs X u y9y.lq| v bdn\itlitZ\^Bp\|tlO¶ƒgu¶ƒbmfdbdsxitbhybdnŠit^|kp\|k^.igjitbdlqn7ObmžO^n7bmn›ac^9y.itbdlqnŒ¡ e\n v ^| _ ŒB‰ Y `.µŠitZ\^˜sxlOfmerikbmlOn lq–¸¦Šeƒguitbdlqn _ ¡O§m¡l`™bdsObmžO^n*¶Šw D ªQ®EQF@´IgH . / ªLf ) e  3ª 2 'k´t´GE —Zƒ^|k‘^ !bds"ikZ\^HsxlOfmerikbmlOn*lq–@ikZ\^]7gq|xikbmnƒOgufd^˜p\|tlO¶\fd^]?¡q§ ‡Ugun v 2 v ^n\lqit^9s™ikZ\^Hygunƒlqn\bhygqf†pƒ|tlry.^Nsts lOnrgU$ª # T3E¯ % ´GE^ZŸ´k§W>¥^ v ^.·ƒnƒ^itZ\^H|k^9gqf†žjgqfme\^ v – e\nƒy ikbmlOn * ªQ®EGF2´Ÿ¶cw * ª­®EQF2´1H O Y@v . / ªLf ) e  3ª 2S't´t´ x H O Y ª D ªQ®EGF2´t´GEª­®EQF2´PR # T<EGUVYX[Z\s _ ‡\§ ‰t` . 8. 8. $:. 32. 32. . 32. 32. 32. 32. 32. 2. . 6. . . . . $ . . 555. . 0. 0.  i¡m”k ˆ¢.

(102) 

(103)     "! $#%'&() *

(104) +, - .0/123 4 265( .798: *3 .;.2<. ˆ. lj—ylqnƒstb v ^|"itZ\^‹ gu|kšqljž'p\|klry.^9sks˜ª H´ŸsxlOfme\itbdlqn›lu– ` ' H * ªQ®E ' (´ `Š®,¯ J ` j ' E ' q ] H ] —b¨ikZ›fhg¤—  ] E _ ‡\§ ‡ ` —Zƒ^|k^'ª ´bhsœg7lqnƒ^ y v bm]7^9nƒsxbdlqn„gufYp"|tlj—nƒbdgqn]7luikbmlOn›bdn v ^9p„^9n v ^9nOiBlu–ª EsssE ´t§3{)|klqp†lOstb y ikbmlOnS¡O§ ‰

(105) j p\|kljžcb v ^9s™itZ\^H^zrbdsxit^9nƒy.^bdn›fhg¤—1lq–"ª ´gqn v itZceƒs D ª­®EQF@´IH .k £j ª;FN ' ´tj§ f @^.i hR Š°tEsssE  Š§)Y@l7p\|kljžq^BitZ\^Y3Zƒ^lq|k^] ‰\§ ‰\µr—™^Hsxikgq|xi3– |klq] ªD Q® š EGF2´(N D ' ª;F2´IgH .k £ªF6N ' ´YN ³ ° o f ªF0N d' ´^s dq  |bd|ksxi9µB—™^SbmnŠik|tl v eƒy^Sgqngu|titbm·„ybdgqfBst]UlclqitZ\bdn\ lq–itZƒ^ Œœ^9g¤žcbdstb v ^ – e\n„y itbdlqn@§C|\lq|ogungu|k¶\b¨ik|kgq|tw ylqnƒsxikgqnŠi oT\µr—"^ v ^.·ƒnƒ^BikZ\^˜– e\nƒy.itbdlq-n uªF2´H  9 ˜ £ª;F2´gun v —"^ v ^9y.lO]7p„lŠsx^BitZ\^H^zrp\|t^Nststbdlqn gq¶„ljžO^BbdnŠitlU– lqeƒ|pƒgu|tiks D ªQ® š EQF2´•N D ' ªF@´ H .° £f ª;FN ' ´(hN .k \ªF N ' ´ ¯ ³ o jª;F0N d' ´YN £ªF N d' ´ q ¯ V d.  \ªF0N ' ' e ] ´; ] ª(`†´(N V .k \ª;F0N ' ' e ] ´  ] ª3`/†´ _ ‡\§ _ ` ¯ ³ ° o f .k ª;F0N ' ' * e ] ´YNr ª;F0N d' ´ \E dq  —Zƒ^|k^ª ' e ] ´bdsŸitZƒ^Bstlqfderitbdlqn«lq–WitZ\^s~iklryZƒgqsxitbhy v b-ƒ†^9|t^9nŠitbhgufƒ^N¦ŠeƒgjikbmlOn _ ‡ƒ§ ‡ `)s~igu|titbdn\gui 'gjiikbm]7^ Tƒ§$Y3Zƒ^oi~—™lS·ƒ|s~i7it^9|t]'s'gq|t^osx]7lcluikZ\bdn\ ^|k|tlO|ksUgun v —bdfmf¶†^Œ¶„lOe\n v ¶cw g y.lOnƒs~igunŠi'gu|k¶\b¨ik|kgq|tw st]'gufdf v ^p†^n v bdn\¥lqn O§£Y3Z\^*itZƒbm| v ik^|k] y.lq|k|k^9stp„lOn v sHikl ikZ\^*pƒ|tlOpƒguŠgjitbdlqn gui

(106) ikbm]7^o® lq– itZ\^ bdn\bmitbhgufdb-‚NgjikbmlOn'^|k|tlO|  D] ªF2´<N D ] ª;F2$´ ¨§Yl]'gušq^Be\n v ^9|ksxikgqn v itZƒ^Bfhgqsxiit^9|t]oµc—"^it|gunƒsx– lq|k] š b¨iN§1|\lq| gqncw'itbd]7^® š gqn v guncw F6RrZ™µ—™^Hylqnƒstb v ^|3itZƒ^Hpƒgu|titbhguf v b-ƒ†^9|t^9nŠitbhguf,^9¦Šeƒguitbdlqn @ ?A B n ' a e  (ª a E „´,¯ M° J K B K n  ' e  (ª a ;E †´†¯ * ‹ª atE †´ B n '  e  ‹ª a ;E †´mH T3E ) (ª a E „´R # T<Et® š ´PX[Z\E ‡\§ ` B _ n ' B e  ª­® š ;E †´mH uªF0N B †´GK E ) 0R Z\s |ƒ|tlO] itZƒ!^ 2^]7]'g'‡\§ ˆU¶„^9fmlj—Hµ3n ' e  bdsœg

(107) ¶†lqeƒn v ^ v – e\n„y itbdlqnŒbdn6g e K ªxªT<Et® š V•XrZŸ´˜Z gun v ¶cw'itZƒ^HitZ\^ |ƒ^wcn\]'gun<y zHgOyœ|k^p\|k^9st^nŠigjitbdlqn*lu–-g "gqeƒyZcw«p\|klq¶\fd^]oµn' e  ª(a E;†´mHg.k ªF0N ' e ' ´t§SŒœ^nƒy^qµ .k ªF N ' ' * e ] ´YW N ªF N d' ´ H n ' e  ªT<;E  ]d ´YN n ' e  ª­® š E d' ´Gs . . . . . . .  32. 32. .

(108).  32. 32.  . . 32.  32. 32 . 32. .  32. . . 2.  32. 2 . . . 32. 32. 32. 32. 32. 32. ”•”—–˜3™š›œ.  32. 32. 2. 2. . 32. 2.

(109) ¡N. "l  . u qs n ' e  bhs sxlOfme\itbdlqn›lu– _ ‡\§ `.µ<j i  s"– lO|t]

(110) e\fdg

(111) qbdžq^Ns ° o f . ª;F0N '  e ] ´(N ª;F0N d' ´ '* ³ dq . ' ‡\§ Š ` H ³ ° o f V B n '  e  ª(a E dZ ´ * ª(a E dZ ´(N O Y D  Z ª  d Z ´ `7a _ B d q f ] ' n'  ° N ³ o V J B  e ª(a E dZ ´‹` j Z d s B dq  ] Y3Zƒ^Ÿsx^Ny.lOn v it^9|t] lu–cikZ\^Ÿ|kbmOZŠiQy Zƒgun v stb v ^bhsg sxikguitbhs~ikbdy9gufO^|k|tlO|9§L>¥^Ÿ—bdfmfŠ¶†lqe\n v itZ\^™^.zrp„^Ny igjitbdlqnHlq– bmiksgu¶ƒstlqfderik^)ž¤gqfmeƒ^)¶Šwkg± ² ³ §Y3Z\^·ƒ|ksxi2ik^|k]1bdnHitZ\^Ÿ|tbdqZŠiQy Zƒgqn v stb v ^lu– _ ‡\§ Š `†bhs,itZƒ^ v bhsty|t^itb‚9gjikbmlOn ^9|t|klq|3gun v ylqnƒy^nŠit|gjik^9s™itZƒ^H]UlŠs~ibd]7p„lO|xigunŠi v b «ye\f¨ikbm^Nslu–itZƒ^Hp\|tlclq–~§ j n›itZƒ^Hn\^.zciœste\¶ƒst^9y ikbmlOnƒs9µr—™^qbdžq^BitZƒ^Hp\|tlclq–lu–itZƒ^– lqfdfmlj—bdn\

(112) – lqe\|fd^]7]'gqs -™º   “ ?U= @ F . „72 J[ ^L • .2  R Z O V  £ªF N ´Yr N ¤ª;F0N ´  ` F z g ² •2{   ‰32 $# –O ‰32 M Y 0 2{ ‰32 0–O N .+ ªF0N 9' O´  z g ²   .k £ªF N ' O´(h _ ‡\§ .` .2{ !  .2  { 2{ „2 O° EsssEtW³  2, @2   „2 Š°tEsssE   O  . ª;F0N d' ´(N £ª;F N d' ´ zog ² u± ² ¬U®E . ª ' p N d' ´(Nr ª d' N d' ´ z“g ² u± ² ¬

(113) ® s _ ‡\§ ` A K C<l „„4l 23  .23 g y C< 2,l .2 D ] O O O J 2{ U 2  -™º   “ ? ‡ 2„; .  a 2ˆ G.L   * F  ‰32 $# –O ‰32 M Y  2{ ‰32 0 • „  rR Š°tEsssE   O  V . \ªF0N ' ' e ] ´; ] (ª `†´(N V . rª;F0N ' ' e ] ´  ] 3ª `/†´ z“[g  D ] N D ]  ,+ .2{  V .k ƒªF0N ' e ] ´; (ª `†´(N V . rª;F N ' e ] ´  3ª `/†´   ' ] ' ]  z“[g  D ] N D ]  s A K C<l „„4l 23  .23 g y C< 2,l .2 D ] O O O J 2{ U 2  -™º   “ ?  ) ; m G.L   * F  ‰32 $# –O ‰32 M Y  2{ ‰32 0 • „  rR Š°tEsssE   O f d V ' B n ' e  ‹ª atE dZ (´ ` Z d z g o .  ³ J B j ² ³ dq  ž ] . 32. .  32. 32. 32 . 32. . . . . . . 32. 2. 6. . . . . .  .  32. $

(114)  . .  32. . . 

(115)   . 2. . . . 32. 2. 32. . . .  . . .  . . . . 32 . 32. . 

(116)  . . . 32.  32. . . .  32. . . .  .  32. . 

(117)  . . 32. . $  . . 2.   . . . .  .  i¡m”k ˆ¢.

(118) ¡O¡. 

(119)     "! $#%'&() *

(120) +, - .0/123 4 265( .798: *3 .;.2< .2{. ' g o f d V B n ' e ª(a E dZ ´‹` Z d  z j  ²³  d q  ž ³ ] J B   A KC<l „„4l 23  .23 g yC< 2,l .2 D ] O O O J 2{ U 2  -™º   “ ? %) G; a 2  ^L   * F  ‰32 #$–O ‰32 M Y  2{ 3‰ 2 0 • „  RrŠ°tEsssE   O ° o f V ' B n' e  ª‹a E dZ ´ * ª‹a E dZ ´(N Y Z ª d Z .  O D  ³ dq  ] B  . .. . 32. 32. .

(121) $  . s. . 32. . $  . .2{. . 2. . . . . .  . ´ `ba z“gUª ² ° ³ ¯ ¬U®k´  .  .   . ' n'  f ° o z“gUª ² ° ³ ¯ ¬U®k´^s .  ³ V B  e ª(a E dZ ´ * ª(a E dZ ´(N O Y D  Z ª  d Z ´ `7a  B  dq  ]  A KC<l „„4l 23  .23 g yC< 2,l .2 D] O O O J 2{ U 2  ™ZƒlOst^ [H ¬

(122) ®iq§Œ¸s~ikbm]'guit^9slu–"itZ\^«– lqe\|Ugu¶†ljžq^7fm^9]7]7gOsy.lO]¶\bdn\^ v —b¨ikZ ¸¦Šeƒgufdb¨ikbm^Ns ‡\§ Š `gun v _ _ ‡\§ _ Y3`™Z\fd^9^7g stv ^9yitikl7bmlOiknZ\^bhsBY3lOZ\|t^9Šlqgu|kn\^bh] st^ v ‰r§ ‰rgq§sœ– lqfdfmlj— s9§+j n¥ace\¶„sx^Ny itbdlqn¥‡\§d¡qµ†—™^Up\|kljžq^stlq]7^

(123) p\|t^9fmbd]7bmn„gu|kw*^Ns~ikb y ]'guit^9s˜gun v |k^qeƒfdgq|tbmi~w*|k^9ste\fmiksBlqnŒikZ\^ v |tbm– i– e\nƒy.itbdlqn * gun v lqnitZ\^7sxlOfme\itbdlqn6n' e  lu–"¸¦ŠeƒgjikbmlOn ‡\§ `.§3Y3Zƒ^n bdnoitZ\^Usxe„yy.^Nststbdžq^ste\¶ƒst^9y ikbmlOnƒs9µƒ—"^p\|kljžq^ 2^9]U]'gOsœ‡\§d¡qµ†‡\§ ‰7gun v ‡ƒ§ ‡ƒ§q>S^·ƒn\bhsxZŒ¶cw ik_ Z\^Hp\|klclu–lq–@ikZ\^H]'gubd&n @^]7]'g7‡\§ _ƒ§ . 2. 32. . . . .  .  . . 2. .

(124)  

(125) . ™lOnƒstb v ^9|ŸikZ\^p\|klcy^9sksœª ´)stlqfderitbdlqn*lu– ‡\§ ‡ ` §)Y3Z\^ v |kb¨– i3– e\n„y itbdlqn * v ^.·ƒnƒ^ v bmn ‡ƒ§ ‰ `)bhs3¶„lOe\n v ^ v ¶cw ] e   O Y ª;nƒ´ § Œœ^nƒy^qµ,¶cw ˜bd|kskgun\lj_ ž  sikZ\^lO|t^9]›µW– lO|˜gqncw ® T\µ ' Zƒgqs˜g _ v ^nƒstbmi~w v ^n\lqit^ v ¶cw  ªQ®E m´t§1|ƒe\|titZ\^9|t]7lq|k^qµ *º  “r’ ? A  ;G .2< „2CG7DG 7D„ „3 <ŸªQ®EI` &Ia E ˜ZqH †´

(126) l [t2< „(–OS;

(127) q7S‰t2{. SD— ™ªQ®E &$atE †´ O7I  [) k„2 ~ K ªZ™´ G.4lS! $ „ hRrZ O  ™ªQ®E 7&$atE †´  z ª­®mN g aq´  E 7I  ^ ;

(128)  C<l „„4l 23  .23 g tŽC< 2,l 2 J O U 2{ O 23 [ 2,–O\  G;! ^ O\) *23 ! . F—„2  A ) k 2 D^“ C{G4 2 D$*

(129) „72 J q„  2{.4 k;

(130) ^— F ‰ + “ C^Q!Q!W\G$ C<l „2 E# „#‰„2 Œ I( 2 C< *- $ O  ªQ®E m´ ) k„2 ~ K ªZ™´ ! . „ ® oT 2,–OS7„;

(131) .*\ @2  E $C<;

(132)  ) 2  ] O   ª­®E m´   kz ® g s . 

(133) . . . . . . . !. . .  . #"$. &%. ('. *). . . . "$. ”•”—–˜3™š›œ.

(134) ¡¤‰. "l  . -™º   “ ? +  * F‰ ‰ 2 #$–O ‰32 Y k .2{ ª( r´ A

(135) t2< „(  Qª ®EGF2´  ! ' ) D^*2{ k*23 ! .F   „2 ®qR\# T<EQUWV 2,  l $ 1  ;C .; .I  „4 „4‰„2 F 7I  ) ^D 1 *2{ 0*21  ! F$  „2 ®qR\ 1 # T3EQUV A (!*2, 2 * ªQ®EGF2´ ) „2 g T  e K ªI# T<EGUVtXZ™´ 2,k„;   „4 „4l ' Qª ®EQF@´GE  ª­®EQF2´ 2,   ªQ®EGF2´ . . . GSDG.*2{ ^0*23 ! .F   „2 ®SR # T<EGUV *º  “r’ ? 8\4l26 !+; ) ) "2{.P —C{ „; ‰  ‰„2h5(LF F‰ 07i OP.2{  .2^  „  t*3!^F ;

(136) •! „7„27JœCGa !;

(137) . D ) W„2 g T  e K ª$# T3EQUV XkZŸ´ 2{ ; *

(138) q) W "- l     *2r !W;

(139) W  - . .2<  4 2 - 7o8: *3 .;.2 _ ¡q§d¡a` ’ ¾2¾ • |\lq|Hgqfmf)®  T\µ   ' ªF2´ v ^n\lqit^9sBikZ\^ v ^nƒstbmi~wŒlu–ikZ\^ gueƒsksxbhgunS|kgqn v lO]žjgq|tbhgu¶\fd^ kJ j ' § @^.i '"¶†^HikZ\^

(140) ylq|k|t^Nsxp†lqn v bmn\'st^]7b-y­O|tlOe\p v ^.·ƒnƒ^ v ¶cw <' CH  ' § 2^iBeƒsBsxZƒlj—1ikZƒgji  bds ikZ\^He\n\bh¦Še\^—™^NgušstlqfderikbmlOn*bdn ~\¤ªZ™´œlu–itZ\^– lOfmfdlj—bmnƒUbdnŠit^9q|gufWfmbdn\ ^Ngu|W|\lOšcšq^|{)fhgun„yš«^9¦Šeƒguitbdlqn ' ' H '  ] N V B F ' ) Zª * (ª a E m´ Z97´ `ba E ) ®6R V„T<EGUV E ] H  ] E _ ‡\§ ˆ ` B ] —Zƒ^|k^  bhs™itZ\^ v ^9nƒstb¨i~w«lq–( §>¥^˜—bdfdf v ^ v e„y.^˜– |tlO]¸¦ŠeƒgjikbmlOn ‡\§ ˆ `itZ\^|k^Oe\fdgq|tbmi~w7|t^Nsxeƒf¨is™lq– ikZ\^ @^]7]]'g\§I|\lO|™g·\zr^ v ®bmn ª] T<EGUV†gqn v g– e\nƒy.itbdlqn *bdnhg ªZŸ´3—_ bmitZylq]7pƒgqy.i™ste\p\p†lq|ti9µŠ—™^œst^.i U‹ª a EQF2´H <' ) Z ªF@´tµr– lO| gufd;f akWR # T3Et®k´k§Y3Z\^n bhs3ikZ\^sxlOfme\itbdlqn›lu–@ikZ\^H¶ƒgOyšŠ—3gu| v Zƒ^9gji^N¦Oe„gjitbdlqn @ ?A B a ¯ M° J K B K F H’T3E T zga ®E UB ª­®EQF2´hH Bª;F2´^K s p"wgqp\p\fdwcbmn\‰j i  s"– lq|k]e\fhg

(141) itl UªQ®E 9'´gun v igušcbmnƒ

(142) ikZ\^H^.zrp†^9y.ikgjikbmlOn2µr—"^˜lO¶rikgqbmn›ikZƒgji ' . 'ªQ®E '¤´mH V ªF2´  ªQ®EGF2‹´ `tF H V UªT<EGF2´  ] ª;F2(´ ` F7¯ V V B F ‹ª atEGF2´ * (ª a EGF2´  (ª a EQF@(´ ` F(s areƒyy^9sksxbdžq^sxeƒ¶ƒs~ikb¨ikeritbdlqn„sbmn›ikZ\^sx^Ny.lOn v ik^|k]lu–itZƒ^H|tbdqZŠiQ] y Zƒgqn v B stb v ^Hfm^Ng v itl ' V ªF2´  ªQ®EGF2‹´ `tF H V ' ª;F2´  ] ª;F2‹´ `tF'¯ V V V  Y  ' ) Z ªF0N †´ ª †‹´ ` _ * ‹ª atEGF2´  (ª a EQF@(´ ` @F `ba ] X gqn v ' N †´ ª †(´ `/ _ * (ª a EQF@´  ‹ª a EQF2‹´ `t<F `7a V V V  Y  ' ) Z ª;F0 ] 'X H V V ª †´ V  Y  ' ) Z ªF0N †´ * (ª a EQF@´  ‹ª atEGF2‹´ `tF _ `/b`ba ] ' X H N V V ª †´ B  V   ' ) Z ªF N †´ * (ª a EQF@´  ‹ª a EQF2‹´ `tF _ `/ `7a B X ]' H N V V ª †´ B  ' ) Z ª * (ª a E m´  ‹ª a E m´x´„ª †(´ `/b`ba s B ] . . . . . . :. .

(143) . . .. . . .  . .. . ..

(144) . . .. ). . . 0. ) ). ). ). . .. ). . ). . . .. . .. . . . . . .. . ). ). .. .. . . .. . . .. .. . . . .

(145) . . . .  i¡m”k ˆ¢.

(146) ¡N‡. 

(147)     "! $#%'&() *

(148) +, - .0/123 4 265( .798: *3 .;.2<. Œœ^nƒy^qµ\—"^lq¶rigubdnikZƒgji '     ª @ F ´ ­ ª  ® Q E 2 F ´ ‹ t ` F H  ; ª 2 F ´ < '  ª 2 F ‹ ´ t ` h F N V V V V ªF@´ B F ' ) Z ª * ª(a E m´  ª‹a E m´x´„ª;F2´‹`tF<`7a ] B —ZƒbdyZ›]7^9gun„sŸikZƒgji  stguitbhs~·„^9s3¸¦ŠeƒgjikbmlOn _ ‡\§ ˆ `™] bdnikZ\^—™^Nguš«st^nƒst^q§ ™lqn„sxb v ^|3n\lj—1i~—™l7stlqfderitbdlqnƒs  gun v K bdnr~  ªZ™´œlu–)¸¦ŠeƒgjikbmlOn _ ‡\§ ˆ `.§Y3Z\^n2µ\– lq| gufdf2®PRSªT<EQUWV­µ '  ' N 'K  ,H  V B F ' ) Z v * ‹ª a E m´tª Z N KZ y´ xk`ba   ] B  '  Z N KZ  z  O ª @´ Y V   Y  ' ) Z  `ba ' ] e ] g z V ² ®mW  Z N Z  `ba s ] N a  K >¥^ylqnƒyfme v ^lqn›itZƒ^e\n\bh¦Še\^n\^Nstsœlu–-itZƒ^sxlOfme\itbdlqnŒlu– _ ‡ƒ§ ˆ `3¶cw›gqp\p\fdwcbmn\ ˜|klqnc—3gufdf  s3fd^]7]'g\§q>S^ Z„g¤žq^˜n\lj—GikZƒgji– lO| gufdf2®SR ª;T3EQUV2gqn v F R[Z"µ '  ªQ®EQF@´IH   '  ] ª;F2´(N V  Y  ' ) Z Bª * ‹ª atE ¨´  (ª a E ¨´t´„ªF@(´ `ba s ‡\§d¡9 ` _ ] @^.ieƒspƒ|tljžO^œikZƒgji  bds ¶„lOe\n v ^ v eƒn\b¨– lO|t]7fdw«bdno®PW R # T3EQUV §p™w*‚^]'gu|kš‡ƒ§ µ '  ªQ®EGF2´ z   ]  + c¯  O Y V V   Y  ' ) Z  ª;F0N †´  (ª a ;E †‹´ ` `ba ] e ' ] z   ]  ,+ c¯ V 4 ªQ®mg NWaq´ V   ' ) Z kªF0N †´  K (ª a ;E †‹´ ` `ba K ]' g z   ]  + c¯ V ª­®mN aq´ i a  `bats ] Y3Zceƒms    ,+ * ] e +z“gUµN—Zƒ^|k^)itZ\^"y.lOnƒs~igunŠimg v ^9p„^9n v slqn J µUµ O gqn v  ] lOn\fdwq§  lj— —™^|k^ y ]'gq|tšikZƒgji B F ªQ®E ¨´mH O Y Y 3ª .k £ªF N ' ´x´  ª­®E m´ƒbdn~ Iª # T<EGUV^X1Z™´gqn v Z\^n„y.^-itZ„gji  1   + ] e z B gU§ j –-—™^– lO|t]'gqfmfdw v ^|kbdžq^ _ ‡ƒ§m¡N ` µr—"^lq¶rigubdnikZƒgji  ]e„s~iœskgjikbdsx– w'itZƒ^H^9¦ŠeƒgjikbmlOn ' B  F ª­®EQF2´H   '  ] Y ªF@´•N V  Y  ' ) Z B * F ‹ª a E m´  ‹ª atE ¨´,¯ * (ª a s m´ B  F ‹ª a E m´ _ ªF@(´ `ba s _ ‡\§d¡q¡l` B B X B ]   @^.i@e„s@p\|kljžq^-ikZƒgji  stguitbhs~·„^9s ‡\§d¡q¡a`2gun v ]7lq|k^p\|k^9ybdst^fdwBitZƒgui  bhs2bdn gUIª # T<EGUVE^~\NªZ™´ 1g T ª;Z™´k´t§ _ @^.i ] e ¶†^itZƒ^sxpƒgOy.^. ] e H R6gUIª # T<EGUVE^~  ªZ"´ [g T ªZ™´x´–E  ˜  ƒ H '  ªQ®k´  ¯ % 6E ]e . . .. . .. .. . . . . .   . . . . 

(149)  . %. .

(150) .   

(151) . .  . .  . .

(152)   .

(153) $  . . . .  . . . . . . . . . . . "$. . . #" $. .  . . . . 0. . . . .

(154) . . . . . . . . . . . . . . . ”•”—–˜3™š›œ. %. . *%

(155) . . . $

(156) . *%. . 

(157). . .  .  .

(158) ¡9_. "l  . —Zƒ^|k^ ˜ H  ˜ Š¯   ª;F2´$N¯uV ª†´‹` ­§ @^.i b ] e N{d ] e ¶„^ ) v ^.·ƒn\^ v ¶Šw ' Y

(159) ª @´kªQ®EGF2´mH   '  ] ª;F2´mNWV  Y  ' ) Z B * F ª(a E m´ V ª(a E;†´(`/b_ ¯ * ª(a E m´ ª(a E m´3_£ª;F2´‹`7a s ] X B X )  >¥^stZ\lj— itZ„gji  bds3ikZ\^·\zp†lqbdnŠi bmn ] e lu–@ikZ\^gupƒp\fmbhyguitbdlqn

(160) §|\lq|  gun v K bmn ] e µ v

(161) ª  ´Y N

(162) ª K ´ x ªQ®EGF2´ ' H V  Y  ' ) Z B * F ª‹atE ¨´ V ª  N K ´kª(a E;†´(`/ _ ¯ * ª(a E m´tª  N K ´kª(a E m´ _ ª;F2´(`ba s  X B X ) ] u no^9gqstw«y.lO]7p\erikguitbdlqnŒstZ\lj— s™itZƒgui '  ª

(163) ª  ´• N

(164) ª K ´t´tª­®k´  z V   Y  ' ) Z    * N¯  B * F   ,+ jª  N K ´kª(aq´ |`7a s  B  ]e ] ' @^.i® ] steƒyZ ikZƒgji V 4 M  M  ª­®mN aq´ `ba"H M° µ—Z\^|k^  H   * u ¯  1    + ] e §'Y3Z\^n¥—™^ v ^ v eƒy^– |tlO]ikZ\^p\|k] ^žcbdlqeƒs3bdn\J ^9K ¦Šeƒgqfmbmi~w'ikZƒgji bhs g'y.lOnOik|kgOy ikbmlOnlqn ] e '  gun v —"^Hn\luik ^ ›b¨is3·\z p†lqbdnŠi9§1|ƒlq| guncw Œbdn ] e gun v ®PR¥ªQ® ] EQUV µc—™^|k^]'gu|kš'itZ„gji

(165) ª @´kªQ®EQF@´IH   ' ) ' '  +

(166) ª ª­® ] ´x´kªF@´ N V '   Y  ' ) Z B * F (ª a E m´ V (ª a ;E †(´ `/ _ ¯ * (ª a E m´ (ª a E m´ _ ª;F2‹´ `7a s X B X )  lj—bm– 3›gqn v  K bdn ] e '  gq|t^osxe„yZ itZ„gj i 3uªQ®k´‰

(167) H  K ª­®k´‰

(168) H WªQ®k´H– lO|7®hR # T3Et® ] V­µŸ– |tlO]#itZ\^ ^N¦Šeƒgufdb¨i~w*gu¶†ljžq^˜—™^^9gOsxbdfdw«qK ^i"ikZƒgji ' N

(169) ª  K ´x´kªQ®k´  z V '  K   Y  ' ) Z    *  ‹ª a E m´W¯  B * F ‹ª atE ¨´   ,+ j ª   N  K ´t‹ª au—´  ˜`7a  ª

(170) ª   ´Y   B gqn v ikZ\^n  ª

(171) ª  ´YN

(172) ª  K ´t´tªQ®k´       z  ¤ª   N  K —´    ƒ    §)‚^9p„^Ngjitbdn\itZ\bhs"p\|tlry^ v e\|k^qµO—™^ ylq nƒsxit|keƒy.iitZ\^·\z£p„lObmnŠi  lu– lqn ƒ ] e § K |bdnƒgqfmfdwqµ)—"^«|k^]'gu|kšikZƒgji

(173) itZ\^– e\nƒy.itbdlqnGª­®EQF2´‰N{d  ,ªQ®;E †‹´ `7bhsŸstlqfderitbdlqn7bdn ~\jª;Z™´™lq–@¸¦ŠeƒgjikbmlOn ‡\§ ˆ `.§Y3Zƒ^n'¶cwikZ\^œeƒn\bd¦Še\^9n\^9skslq–WitZ\^˜sxlOfmerikbmlOn lq–) _ ‡\§ ˆ ` µ  ªQ®EGF2´mH  ) WªQ®E „‹´ `›gun v  ª­®EQF2´H _ Wª­®EQF@´t§™‹olO|t^9ljžq^9|Ÿ– |klq] _ ‡\§d¡q¡l` µ '  ² U   B F ªQ®E m´  + kzQ  ] Y  + c¯ ² M     + ] e Š¯ V 4 M  M  ªQ®mN aq´  B  F (ª a E m´  + `7a s B B ] JK JK .. .

(174)  ($  .

(175). %. .. ..   . .

(176) . . . . . 0. %.  %. . . 0. . . . 3%. %. . %. . . 3%. . . 3%. %. . %. %. . 3%. %. 0. 3%. %.    .

(177).  . . . .  . 

(178).  . . %. %. . .

(179) . $. %. . . %.  %. . 0. .  .

(180). . . .

(181). . . . . . 0. .

(182) .

(183) . 0. . . .  . .  . . . .  i¡m”k ˆ¢.

(184) ¡. 

(185)     "! $#%'&() *

(186) +, - .0/123 4 265( .798: *3 .;.2<. 3Y Zceƒs ¶Šw ˜|tlOnŠ—3gufdf" s3fd^]7]'g\µ\—"^Hy.lOnƒy.fde v ^ikZƒgji  bhs¶„lOe\n v ^ v e\n\bm– lq|k]7fmw*bmnŒ®\R # T3EQUV §Ÿ‹olq|k^ y ljžO^|"– lq| gqfmf)ª­®EQF@´SR # T<EGUVYXrZ™µ—™^Zƒg¤žO^ B * F ªQ®EQF@´mH O Y Y ªU.+ ªFN 'k´x´  ª­®EQF@´GE B B K F * ªQ®EGF2´IH O Y Y Y Uª . £ªF N ' ´x´  K ª­®EQF2´,¯ O Y Y ªi.k £ª;FN ' ´t´ B  F ªQ®EGF2´ B K B * gqn v  B K F  + ] e mz gU§«Ylo·ƒn\bhstZSikZ\^'p\|klclu–~µ2—"^'Zƒg¤žq^Un\lj—itlŒ¶†lqe\n v ikZ\^ v ^|kbdž¤guitbdžq^7bdn ikbm]7^HlqB–@itZƒK ^– e\nƒy ikbmlOn * §>¥^HZƒg¤žq^ B ® * ªQ®EGF2´IH O Y Y iª .k £ª;FN ' ´x´ B ® . ªFN ' ´^E B B —Zƒ^|k^˜¶cw _ ‡\§d¡9 ` µ  B ® . £ª;FN ' ´ H B ® V  ª­®;E †(´ `/ B B )  ' H JLM K B F K V   '  ] ª †(´ `/ N B ® V   ' ) Z + Bª * ‹ª a E m´  ‹ª atE ¨´t´„ª;F2(´ `ba B K ) B '] H JLM K   ' œ] Y N * ª­®EQF@´  ª­®EQF2´mN V JLM K  Y  ' ) Z B F ª * (ª a E ¨´  (ª a E m´x´†ªF@(´ `ba B ] ' g z  œ] Y  + Š ¯  *   + ] e c|¯ V ² ®mWN a `ba E ] —ZƒbdyZ›qbdžq^Ns"itZƒgui  ' * ªQ®EGF2´  ,+ ] e z“gU§ Y3Z\^– lOfmfdlj—bmnƒUfd^]7]'g\µ v e\^Hitl |ƒ|tbd^ v ]'gqn2µ\qbdžq^Ns3^.zrp†lqn\^9nOikbdgqf,¶„lOe\n v – lq| itZ\^ik|kgqnƒsxbmitbdlqn v ^9nƒsxbmi~w lq– ' Z e  § -™º   “ ? |\|kbm^ v ]'gun v w­µ\p@§m¡N‡qˆy¡ \µ{v _.w­µƒyZ„gup2§d¡a` !q ". ! !*2,_  2 * ª­®EQF2´ ) DG.*2{ ^ 2 # T3EQUV.X+Z Om5 C3  „ "„2 F *2Z  !  F$ „2 ® .2{ 2 t „2 ® *2 !  F$ „2 F ;

(187) 2 ;

(188) "G 23 „;.G2 C{GE D^E D „ „( ‰Q!W;

(189) " C^ ^ ª ' e ´

(190) l "  F . 0t2< „( –O  2,D ™ªQ®E &$atEGF2´ O" 2{ !  .2  U  T OW  Gh ) ; ‰ .2<  .23 g ] tŽC2{.„72 J 2 U O * .2{ J O1 *3 ;

(191) .{! . „ TSza4z ®‚z9U .2{ ª;F(E ´1RrZ K O ŸªQ®E &$a EQF2´ z ² ®•g N ] a

(192)  N ªFhªQN ®mNW´ Kau´ _s X JK -™º   “ ? +  * F‰ ‰32 #  O ‰32 M Y  .2{ ‰32 0 A €/ .*37  C{GE D -L F ‡\§ `

(193)  9 *2: *3 D^.*2{t6  *2o„2 g e K ªxª;T3Et® š VPX Z™´ 2,;

(194) Gr t) ; h ^.2<  23 g yC<_ 2{„2bJˆ2  .2 O O J O U .2{ D ] *3 ;

(195) .{! . „ (ª a E ´1R ª;T<Ek® š V•XrZ O B n ' e  ‹ª a E ´ z“g    ' ) Z kª;F0N ´^s _ ‡\§d¡N‰ ` K B . . . . .  . .  . . . . 0.

(196) .

(197) . . . . 0.

(198) . . . . . .  . .  .  .  . . . . $:. . . . . . . . :. . 2.    . ”•”—–˜3™š›œ. . . . . . . 32. . . . .

(199) ¡aŠ. "l  . .G4 $O! . „ akRW# T3Et® š ´  . $

(200)  . .2{. B K n' e ª(a E ´   B K 2. . . .

(201)  . g ®² š N a z. _ ‡\§d¡9‡ `. n ' e   ª(a E m´  z g s B K   BK ªQ® š NWaq´ i  _ ‡\§d¡_

(202) ` ’ ¾2¾ • ¸-zrbdsxit^9nƒy.^Hgun v e\n\bh¦Še\^nƒ^9sks3lu–gU¶†lqe\n v ^ v sxlOfmerikbmlOnlq–¸¦ŠeƒgjikbmlOn ‡\§ `™ygqn*¶†^˜– lqe\n v bdn |ƒ|tZ bd^ v ]7gqnˆv w­§œ‹Œlq|k^ljžq^9|9µ\itZ\^ |ƒ^wcn\]'gun<y zHgOy|t^9p\|t^Nsx^9nŠikgjikbmlOnoZ\lqf v sœgqn v n _ ' e  ª(a E;†´SHu.k \ªFhN ' e ' ´t§™Y3Z\^n›—™^HZ„g¤žq^ nB ' e  ª(a E „´ H .   ªF0N ' Z e ´ ` ' Z e ' E ' `/ B —Zƒ^|k^ ` ' ] e ' H

(203)  V ' B * ª(a E Z ] e ´‹`7a _ s ` F ' B X ] u s"itZ\^– eƒnƒy ikbmlOn 1  ªQ®EGF2´Ÿbhs3¶„lOe\n v ^ v bmn # T<EQUWVYX[Z"µ@—"^q^i B n '  e  (ª a ;E †´ zog  Ÿª­® š E &Ia E „´kªF@´ B – |klq] —Z\bdyZ›—"^ v ^ v e„y.^bm]7]7^ v bdguit^fdw _ ‡\§d¡N‰ ` µr¶cw 2^9]7]7g7‡ƒ§ § |ƒlq|7gufdfB‹ª atE †´$N R # T3Et® ´ X Z"µ —™^ v ^.·„n\^ikZ\^*– e\nƒy ikbmlOn <'  ‹ª atE †´H—n ' e  ªQ® š gN a ;E †´t§ Y3Z\^9n <' e  ‹ª a E ´bds"ikZ\^He\n\bh¦Še\^š s~ik|tlOn\7sxlOfmerikbmlOn*lq–ikZ\^ "gueƒyZcw«pƒ|tlO¶\e fm^9] @ ?A B <' a e  ‹ª atE †´mH M° J K B K < ' e  ‹ª atE †´W¯ * ªQ® š N a ;E †´ B <'  e  (ª a ;E †´mH T<E ) ‹ª a ;E †´WR # T<Ek® š ´SXrZPE B ' B e  ªT<E „´mH ¤ªFh N †B ´GE K ) F R[Z\s >¥^H^9gOsxbdfdw v ^ v e„y.^– |klq] ikZ\bds ^9¦ŠeƒgjikbmlOnikZƒgji– lO| gufdf)(ª a ;E †´1R # T<Et® š ´PX[Z"µ Z ' e  ‹ª a ;E †´ H kZ ' e  ª;T3E m´tª †´W. ¯ V kZ ) * ª­®•N <E ¨´ B <'  e  ª <E m3´ _ ª †(´ `  B ] ZX H V '   Z  ª N F@(´ ` |¯ V V   Z ) kª  N ´ * ªQ®mN <E ´ B <'  e  ª <E (´ ` ` <s B ) ] ¢B^|kbdžŠbdn\Ui~—"l

(204) ikbm]7^Ns"itZ\^H^zcpƒ|t^NststbmlOn¶†^fdlj—Hµ\—"^˜O^.i Z B K @ ' e  (ª a ;E †´mH  Y  Z  ª $N F@´W¯ V V  Y  Z ) ª $N ´ B * ªQ®mN <E ´ B <'  e  ª <E ´ _ ` ` <s B K B X B ]  . 

(205)  . " $. 32. . . . . . . . . " $.

(206)  . . 32. 32. 32. . 32.  32. . . . . 32. . . . . . . . . . (%. %. 2. 2. . 2. %. % 32. 2. %. 2. % 32. % 32. .

(207) . . 2. . . % 32. . . 0. %. 2. %. .

(208) . . . . . . % 32. . . %. 2. . . . .  i¡m”k ˆ¢.

(209) ¡. 

(210)     "! $#%'&() *

(211) +, - .0/123 4 265( .798: *3 .;.2<  * \gun v  1  c¶†^bdn\7e\n\bm– lq|k]Ufdw¶†lqeƒn v ^ v µ\—™^Zƒg¤žO^ Z B K  ' e  ª(a E;†´ z   Y  Z  ¨ª$N F2´W¯9gWV V   Y  Z ) ¨ ª N  ´     ªF K B K ] Z  ' ¯grV V   Y  Z )  ª N  ´$ B K  e  ª <E  ´(`  `  z   Y  Z  ] ¨ ª$N F2´W¯9g   Z  ª BN F2K ´ Z ¯g V V   Y  Z )  ªK N  ´$ B K @ ' e   ª <E  ´(`  ` . . . . % 32. . . . . .  . . . N ´(` ` . . . % 32. . . . _ ‡\§d¡ `. 2. %. B K Z V B K  ' e  ª‹a E;†´ `tFz ² "¯ g a ¯ V 4 3¯ g (ª aWN \´ V B K  ' e  ª <E ´ ` F@` <s B K B K JK ] JK ' >¥^gupƒp\fmw ˜|tlOnŠ—3gufdf" s"fd^]7]'gikl'q^i _ ‡\§d¡9‡ ` §)Y@l7p\|kljžq^ _ ‡ƒ§m¡9_ `.µr—™^Hsxikgu|ti3– |tlO] _ ‡ƒ§m¡ `  B K < ' e   ª(a E;†´ z g^  Y  Z    ª N F@´,¯9g    Z  ª  N F2´ B K K Z ¯ g V V   Y  Z )  ª  N ´  B K  ' e   ª <E (´ ` `  _  B K X ] z ª a™¯ g q´ i   Z  ª  N F2´ K K JK Z g ¯rV V ª(aWN \´  B K  ' e   ª <E ´   Z )  xª  N (´ ` ` <s K B K ] Œœ^nƒy^qµ Z   V B K  ' e  (ª a ;E †‹´ ` z ª a™¯ g O´ i ¯ V ª(aWN g \´  V B K  ' e  ª 3E ´(` ` <E B K B K JK ] – |klq] —Z\bdyZ›—"^y.lqn„y.fde v ^¶cw ˜|tlOnc—"gqfm"f  s"fd^]7]'g\§ ]. gqn v Z\^nƒy^. % 32. . $

(212)  . . . . . . .   . .  . . " $. . "$. . . . . . . .  . . "$. % 32. . . . . . .

(213)  .  

(214)

(215). . ".

(216).

(217) . . . . . "$. % 32. . . . . . ”•”—–˜3™š›œ. . . . . . . . . . . . ’ ¾2¾ ¾ -™º   “ U? = • | bd|ksxi —™^HlO¶ƒst^|kžq^BitZƒgui – lq| gqfmfYF 6R Z\EG ¤ªF2´SHg. £ªF N – lO| guncw RrZ"µ V  ªF0N ´YN ªF0N ´$ `tFz\. V  £ªF0N ´YNr £ª;F0N N j ´$ ` F[H." j tH. . . "$.  

(218) . . . . . . . "$. . ". . . . " $. % 32. . % 32. !"$. . . . . . . . . . . . . . . % 32. . 

(219)  . " $. 2. %. . . . . . . . j. ¤´k§™Y3Z\^9n. M² s ² M .

(220) ¡. "l  . Y3Zƒ^ v ^nƒstb¨i~w  ªQ®E ´)lq– ' ¶„^9bmnƒ'e\n\bm– lq|k]Ufdw«¶†lqe\n v ^ v bdn RrZ"µ  .k £ª;FN 9' O´(Nh. ªF0N 9' O´ z V  £ªF0N ´YNr ªF N ´$  ªQ® š E ´(` z g ² E —ZƒbdyZ›qbdžq^Ns _ ‡\§ .`.§  lj—G– lO| guncw0F6RrZ"µ .˜ £ª;FN d' ´(r N ª;F0N d'  ´   H . v .  ªF0N d' N£¬U® O Y ª D ' ª d' ´x´(N kJ j › '´(Nr ª;F0N d' N£¬

(221) ® O Y ª D ' ª d' ´x´(N Jkj › '´ x. H V   › ' ª U´ ." ªFN d' N£¬U® O Y ª D ' ª d' ´t´(N ´YN ª;F0N d' N£¬U® O Y ª D ' ª d' ´x´(N ´$ ` z g ² ² ¬U® E – |klq] —Z\bdyZ›—"^ v ^ v e„y.^ _ ‡ƒ§ ` § . .  32.  32. . . . . . . . 2. 2. 2. 32. .

(222) . . 2. 32. 2. 32. . 32. 2. 32. 2. 32. 32. 32. . . . .  .  . .

(223)  .  

(224) . .    

(225). .   . 

(226).

(227) . ’ ¾2¾ ¾ -™º   “ ?ˆ‡ • |\lO|˜gqfmf-® T\µ†ikZ\^– eƒnƒy ikbmlOn Nd . \ªF[N ' ] e ' ´"bhs v b ƒW^|k^nŠikbdgq¶\fm^ gqn v ] e' E B  .k \ª;F0N ' ] e ' ´H .   jª;F0N ' ] e ' ´ ` `'  B —Zƒ^|k^   ' ] e ' H

(228)   ] ' 1  ª(a E Z] e ' ´‹`7a zogU§Y3Zceƒs3¶cw*bmnŠit^9q|gjikbmlOn¶cw«pƒgq|xisµ ' V .k \ª;F0N ' ] e ' ´; ] (ª `†´ H .+ ƒªF0N ' ] e ] ´•NWV ] B  .k \ªF N ' ] e ' ´ D ] ª†´(`/ ) B  ¯ V B  .k ª;F0N ' ] e ' ´tªx° N D] ª †´x(´ `/,s ] B arbm]7bdfdgq|tfdwqµ V .+ ªF0N ' ] e ' ´  ] (ª `†´mH V ] .k ª;F0N ' ] e ' 0´ ` D ] ª †´ N V  .k ªF N ' ] e ' ;´ `„ªx°N ` D] ª†´x´ gqn v itZ\^HbdnŠit^O|kguitbdlqn*¶Šw*pƒgu|tiks™– ) lO|t]

(229) e\fdg

(230) – lO| g7acitbd^f }~^9sbdnŠit^O|kgqfWq]bdžq^9s V .+ ƒªF0N ' ] e ' ´  ] (ª `†´ H .k ƒªF0N ' ] e ] ´YW N V ] B  .k \ª;F0N ' ] e ' ´ D ] ª †(´ `/ ) B  ¯ V B  .+ ªF0N ' ] e ' ´tªt°WN D ] ª „´t(´ `/,s ] B . . . . . . . .

(231). . . . . . . . 0. 0. . . . 0. . . . 0. . . . 0. 0. .  i¡m”k ˆ¢.

(232) 

(233)     "! $#%'&() *

(234) +, - .0/123 4 265( .798: *3 .;.2< Œœ^nƒy^qµ\—"^lq¶rigubdnikZ\^– lqfdfdlj—bmn\U^.zrp\|k^9skstbmlOn«– lq|3ikZ\^Hbdn\b¨ikbdgqfmb‚9guitbdlqno^|k|klq| V .+ ƒªF0N ' ] e ' ´; ] (ª `†´(N V .k \ª;F0N ' ] e ' ´  ] 3ª `/†´mu H V B  .k \ªF N ' ] e ' ´kª D ] ª†´(N B – |klq] —Z\bdyZ›—"^H^9gqstbdfmw v ^ v eƒy^itZƒgui  V .k ªF0N ' ' e ] ´; ] 3ª `/„´•N V .k ª;F N ' ' e ] ´  ] 3ª `/†´ z“[g  D] N D]  +  V .  ªF0N ' ] e ' (´ `/ gqn v  V . rª;F0N ' e ] ´; 3ª `/†´(N V . rªF0N ' e ] ´  3ª `/„´   ' ] ' ]  zo[g  D] N D ]  V .  ªF0N ' ] e ' (´ ` F(s ' j nožcbd^—1lq– @^]7]'g'‡\§ µŠitZ\^H^zrp„lOn\^nŠitbhguf,¶†lqeƒn v – lq|3itZƒ^ v ^nƒstbmi~wlu– ' ] e ' ObmžO^9s .  \ªF0N ' ] e ' ˜´ z“g    ' ª;F0N „´^E K – |klq] —Z\bdyZ›—"^H^9gqstbdfmw«ylqnƒyfme v ^q§ . . . . 

(235)  .  .  32.

(236). . .  . .

(237)  .  

(238)

(239). .      . .  32.  $

(240)  . .  .  . . 2. 2.

(241) .

Références

Documents relatifs

« On ne fait pas que des psychothérapies en clinique/…/On en parlait encore ce matin : est-ce qu’on a le temps de faire des psychothérapies, parce qu’on voit les gens

L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des

« La prophétie, ou interprétation et conférence des Écritures se fera par les ministres du Colloque, en l’assemblée où chacun dira la tête découverte ce que Dieu lui

Pendant six ans, jusqu’au premier janvier 1568, le clergé de France doit fournir chaque année au roi l’équivalent de quatre décimes, un million six cent mille livres tournois,

AMC PAPI : Spécificités du contexte torrentiel – Rapport de Phase 1 Page 18 sur 46 Dans le cas des laves torrentielles, on peut résumer les conditions nécessaires au

Gillard, “Combinaison de la DG-FDTD avec un mod` ele de substitution pour un calcul de dosim´ etrie locale dans un probl` eme variable et fortement multi-´ echelle”, dans 18`

Le jugement porté par les femmes lettrées sur leurs soigneurs doit donc être nuancé en fonction de la personnalité de chacune, de la gravité de la maladie,

3.3 Processus d’alimentation d'entrepôt de données : Nous devons extraire, transformer et charger les données à partir des sources précédemment citées, dans l'entrepôt de