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Numerical Analysis of Junctions between Thin Shells, Part 1 : Continuous Problems

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(1)Numerical Analysis of Junctions between Thin Shells, Part 1 : Continuous Problems Michel Bernadou, Annie Cubier. To cite this version: Michel Bernadou, Annie Cubier. Numerical Analysis of Junctions between Thin Shells, Part 1 : Continuous Problems. [Research Report] RR-2921, INRIA. 1996. �inria-00077214�. HAL Id: inria-00077214 https://hal.inria.fr/inria-00077214 Submitted on 29 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. Numerical analysis of junctions between thin shells, Part 1 : continuous problems Michel Bernadou , Annie Cubier. N ˚ 2921 Juin 1996 ` THEME 4. ISSN 0249-6399. apport de recherche.

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(7) #$%!'&()*+! , -.,/

(8) 

(9) 0 12 *!43+56 #7! -##98 :$

(10) *; <2=?>A@BDCFE:BDGIH J'KML'N"OQP RHH=SB%T7NU=SBDGVOWO X7Y[]Z \[^`_ba'cd\e'fhgji

(11) clkWm p [#o

(12) [Aq'io

(13) i kW[]Z n'\ri

(14) cd[A\otclsAoIk'gD\ui

(15) clkWn'm fl[AvW[Ao w/x kzy[Ai|{~}:€ ‚„ƒ gzn†n‡k x i p [ x [As Y [ x s Y [`m#ˆ‰zŠ‹‰†Œ_ ŽWe'cdmŒVŠzŠz‘_’‰z‰n†gD“‹[Ao –” •"—A˜]™VšM›D˜zœ+X7Y [7y

(16) e†m'sAi

(17) clkWm'o:kD„ž‡[]gz\o]Ÿn'fdgDi

(18) [Ao#gzm p o Y [Aflflog x [i Y [ž†gDo

(19) clssAk'\un†kWm'[]m‹i

(20) o:kD gzm‹q–cdm p e'o

(21) i x cdgDf/o

(22) x i x e'sAiIYe x gDf sAkWm'o

(23) i xx e'sAi

(24) clkWm  X7Y [um'e†\[ x cls]p gDfo

(25) cd\e'fdgDY i

(26) clkWm¡YkD*xFoIYe's Y p y

(27) e†m'sAi

(28) clkWm'o clotY gsAfdgDY o

(29) o

(30) xcls]gDfx n†g ix kDMi [sAkW\u\Y [ sAcdgDf'¢£m'cli

(31) [[Ap f¤[]\r[]mzisAk Y [Ao] )}#mi [tk‹i [ Y g‹m clio

(32) x [A[]\o i x gDi#i [ [¥g x [¦z[ q§?[A¨©x \ugDi []\ugDi

(33) cls]gDfo

(34) i-e c¤[AokD7oIe's yªe†Y m'sAi«c¤Yk'm'o] ¥¬­m®Y i clo Y n†gzn‡[ Ÿ"¨*[ n kWn‡kzo

(35) [g¦¯g p chgjx i

(36) clpkWm†gDf†?k \e'fdgDi

(37) clkWmx kD†y

(38) x e†m'sAp i

(39) clkWY m'o7ž†[Ai¨*X7[AY []mi cdm°o [Apflf¤o*¨ Y []m°i [Y y

(40) e†m'sAi

(41) clkWm s]gzx m¡ž†[x sAkWm'o

(42) c [ Y [ gjogzm±[AfdgDo

(43) i

(44) clsk g cl“zc cdm'“z[z  []mŸ¨*[o

(45) i-e q–i [ \ugji []\ugDi

(46) cls]gDf n kWn‡[ i

(47) cl[Ao:kD²i [Ao

(48) [#[A³´e†gji

(49) clkWm'o]  µ–¶'· ¸¹º£™D»"—zœ XY chmo Y [Aflflo] ®‚fdgDo

(50) i

(51) clsyªe†m'sAi«c¤k'm  c¤“‹c p y

(52) e†m'sAi

(53) clkWm §‚„³´e'clflcdž x cde†\¼[A³†e†gV½ i

(54) clkWm'o] „¾)g x cdgDi

(55) clkWm†gDf¿Àk x \ e'fdgDi«c¤k'm'o] . FÏÎÎIÎ Ñ«Ð ÒÔÓ)ÕÖ]×ÔØ-ÓÚÙÚÛÃ×ÔÜ?Ý«×ÞÙÚÓ7ßÓà Ñ

(56) ÖDÝ

(57) ÙÚá#áVÓâ ×ÞÖDãÚ× ädå"æFäèç§æ ÑAãé-ê¯Ó­ÖDãQÑ«ê]ÙÚÜ. ÁÃÂÅªÄ ÆQÇ]È Å)Ä É"ÊlÆQËÀÌ]Í.

(58) ` 7 # „   £ "!

(59)    ) ; - )0 1 £!

(60) +3 5 16 $ *;)( 7!£ -# p x p ¶´— ¶©œ Z xž []e'o

(61) [AosAkWm'o

(62) i ¿x e'[AosAi«yQc¤k'kWm'm'o]sA )i«c¤k' m'go o«ch\[e'n†fdgDk'i

(63) e'clkWi m¡[Ao]mWŸ:e†\ n'fh[gjx ³´cle'³†[Ae'o–[ [Ap i%[#sAi

(64) [AkWfl³†fl[Ae'o/[Ao–yQkWo

(65) m'kWsAm‹i«c¤i k'm'gofdn†g6[]e'ž†igDo

(66) [A[ i x [7[~i x m'gDkWcli

(67) \ [ x½ n†g x sA[ p x iIgDcdm'o:sAk p [Ao p p [Af x []\[]Z m‹i

(68) o/¢£m'c¤oV  *[]n‡[]m p gzx mziVŸMclfq–gui xA[AZ o7x n†[]e p gzm†gjf¤q'o

(69) [\ux gDi Y []\ugV½ i

(70) cl³†x e'[ [–sA[%iq´pn‡[ [§n kWž'f []\rp [Ao] –gzm'osA[Airg i

(71) p clsAfl[zŸ)m'kWe'oun kWZ n‡kzo

(72) kWYm'ox e†m'Z [%x Àk \ e'fdgDi«c¤k'm ¦¯g x cdgDi

(73) clkWm†m'[Aflfl[ [:ykWm'sAi

(74) clkWx m'o p [usAk'³´e'[Ao\rchp m'sA[Ao gzm'x o#fl[s]gDo#x k e–x fdg%s g m'c Y [ [rg%e†m®sAkW\ p ½ n†k i

(75) []\[]m‹i [AfdgDo

(76) i

(77) cl³†e'[k'e cl“zc [z  7k'e'o [AiIe clkWm'o7gDflk o*fl[Aon kWn c [Ai [Ao*\ugDi []\ugDi

(78) cl³†e'[Ao [ sA[Ao [A³´e†gDi«c¤k'm'o]  ºM˜]— ¸

(79) › ¶`œ x p p [A³´e'clflcdž x [z )ƒ k x \e'kWfdgD³†i

(80) e'clkW[Am'o o7\r¦Dgchm'x sAcdgD[Ai

(81) oVcl  kWm†Ž‹m'kW[Am'flflsA[Ai

(82) o]cl  kWm [AfdgDo

(83) i«c¤³†e'[z (Ž‹kWm'sAi

(84) clkWm cl“zc [z ‚³†e†gDi

(85) clkWm'o . . . . . .

(86)  . .   . . . .  . . "!#.  . . $. . . . . .

(87) 

(88)  

(89) 

(90) . 3. . 7 ! ¿ ° "!

(91)  {p ~Y gzm‹q§cdmX7p Y e'o

(92) i x cdgDf*sAx kWm'o«i x e'sAi

(93) clkWm'oe'o

(94) [zŸFgDož†Y gjo

(95) cls¥sAkW\°n†kWm'[]m‹i

(96) o]Ÿp [Afhgjo

(97) i

(98) cls ž‡p []gz\o]x Ÿ"n'fdgDi

(99) [Ao gzm o [Aflflo]  Y [m'e†\[ cls]gDfo

(100) cd\ e'fdgDi«c¤k'm–kDoIe's gDo

(101) o

(102) []p \x ž'fdgDx “z[Aom'[A[ o#g“zk'k Y xgzn†n kDvWcd\ug¯½ i

(103) clkWm°kDF[]gDs x sAkWm'o

(104) i

(105) clxiIe'i

(106) cl¦zx [#[Afl[]Y \x []m‹ix gDo*¨*[Aflf gDo7g#“zx k'k []n [Ao

(107) []m‹iIY gDi

(108) clkWm°kD i [Ac y

(109) e†m'sApi

(110) clkWm'o]  ¬Úm%p []m'“‹chm'x [A[ chm'“%x flcli

(111) [ gDiIe [zŸ†i [ [g Y [\ug‹mzqux sAk'mzi chž†e'i«c¤k'm'o7kWm%i [#ž†[Ao

(112) i¨ gVqui«kr\rk [Aflc"!A[ gzm ŸMn†g i

(113) cls]e'fdg flqzŸMi«kusAkW\un†e'i

(114) [#o-e's sAkWm'o

(115) i e'sAi«c¤k'm'o]  XY e'o]Ÿ¿Àk x i Y [–\k p [Af¤"c !]gDi«c¤k'm2kD7i Y [ \r[As Y gzm'cls]gDf/[]m'“zcdm'[A[ x cdm'“ gjoIn†[AsAi

(116) oVŸF¨*[ x [-À[ x Àk x cdm'o

(117) p iIgzm'sA[:i Y [ x Y []g p [ x x i

(118) ki Y x[7s Y gzn'i

(119) [ x #kD$#tg&p %D[ x ½(':kD¦¯gDfl[A¦'o%‹qz) ½ clo *Y ) Œ]Š Y +†ŒY ,"¨ x Y c¤s Y c¤o p x [A¦zkDp ½ i

(120) [ Y i

(121) ku\e'fli

(122) clo [AflfFp o«i e'sAiIe [Ap oVŸ†i

(123) .k Y -/-1p 0† Þ^ux gzm †  ‰p kjFƒ3f e'2 “z“z[ Œ]&Š 4 0 ,¨ c¤s g [sAk'p m'sAx [ m'[ p ¨7clYi x n‡kzflqW“‹kWm†gDf x kW\[Ap og‹m p ¨7cli c 5 [ []m‹i %‹p chm okDFy

(124) e†m'sAi

(125) clkWm'p ož†[Ai) ¨*[A[]m®sAqWflxcdm x [ ougzxm oIn [ cls]gDf:s]gzn'ouk x []m oVŸ7gzm i

(126) x 6k -/-§ŒzŒz Þ^~gzm Œ +†8  7¡kDY  p7gDflfdg cdm'[ Œ]x &Š + 0 ,Àk n p [Ao

(127) oIe Y [-½ ¦z) [Ao

(128) o«[Afyªe†m'p sAi«c¤k'm Y n kWž'fl[]) \oV 6ƒMk p ¢£m'Y c¤i«[§x [Afl[]x\[]m‹i \[Ai Y k o]Ÿ/¨*[–x s]gzm [AsAkW\°\ugzm #*gDi [ Œ]&Š +z ‰ ,)g‹m #*gDi [-(½ 9k Œ]&Š +†Œ ,)g‹m i [ [-?[ []m'sA[Ao:kDi [Ao

(129) [#¨*k %‹o]  p x Y x x x Y Y px x Yi [Afl#/[Ao

(130) q%osA¨tkW[m‹i s]gzgDm®o

(131) i*\i [][m‹i

(132) [clkWgm®[#i Y ¦z[[ ¨*q°k ?x [A%‹¨ ož‹\uq gDi:#e‹[] \°x g‹gDm'i

(133) scls]gD) fŒ] Š o

(134) iI+ze Š ,cl[Agzo:m p chm±*i cdg [Ax o

(135) fl[A[ i )c ŒV[AŠzsA Š i

(136) ; clkW,*m'¨ oV Y c¤s Y [A¦zg [ x [½ \ugDcdm'p flq§sAk'm'sA[ x m'[ p ¨7cli xY i Y [ n x k'ž'f¤[]x \kj²x i Y [:y

(137) e†Y m'sAi

(138) clkWm§ž‡x [Ai¨t) [A[]m¡i Y†x [A[-½ p chp \rx[]m'o

(139) clkWm†gDf)gzm p ip ¨*kD½ cd\[]m'o

(140) clkWm†gDf x f¤cdm'[]g f¤q°[Afhgjo

(141) i

(142) clso«i e'sAiIe [Ao¨ c¤fl[#[7 [Ai Œ]ŠzŠ†Œ ,sAkWm'o

(143) c [ gDo

(144) q†\un'i

(145) k‹i

(146) cls [A¦z[AflkWn†\[]m‹i

(147) oÀk y

(148) e†m'sAi

(149) clkWm¡ž†[Ai¨*[A[]m–i¨*krn'fdgDi«[Ao]  ¬­mui Y c¤o*o

(150) [ x c¤[Ao*kDFn†gzn‡[Y x o]Ÿ'¨*[ x [Axo

(151) i x clsAi)p kWe x gDi

(152) i«[]mzi

(153) clY kWmri

(154) ki Y [:mWe†\[ x c¤s]gjf¿x g‹m†p gDflqWo

(155) clo*kD i Y [ y

(156) e†m'sAi

(157) cl)kWm§ž‡[AiQ¨*[A[]p m%i¨*ko [AYflf¤oV 7}#e o

(158) iIe q°Àk‹f¤flkD¨7o7i [ \ugDcdm%flcdm'[Ao#kD<#)[ m†g kWe‹½Úƒ£gVqzk‹f¤fl[-½  []m [ Œ] Š +z&Š ,tg‹m f¤cl[Ao#kWm%i [:ÀkzflflkD¨7cdm'“ gjo

(159) oIe†\un'i

(160) clkWm'>o = ? [Afhgjo

(161) i

(162) clszŸ Y kW\k‹“z[]m'[AkWe'o]Ÿ†clo

(163) k‹i x kWn'cls \°gDi

(164) [ x cdgDf?Ÿ ? oI\ugDflf p [-?k x \ugji

(165) clkWm'o]Ÿ ? p [-Àk x \ugDi

(166) clkWmi Y†x kWe'“ Y i Y [–i Y c¤/s %'m'[Ao

(167) ouoIgDi«c¤oª¢M[Aoui Y [§e'oIe†gDf7gDo«oIe†\un'i

(168) clkWm'oukj@  ':kzcli

(169) [ x ) Œ]Šzz& ,AŸ ? i Y [*yªe†m'sAi«c¤k'm–s]gzm–ž‡[ gDo

(170) o«ch\rc¤fdgDi«[ p i«krg x cl“zc p k x i«krg‹m%[Afhgjo

(171) i

(172) cls Y chm'“‹[z  XY [usAkWm‹i

(173) []mzi«okD7i Y [ w g x i¥Œ°kD7i Y clorn†g‹n†[ x s]g‹mž‡[¥kWe'i«f¤cdm'[§gDoÀk‹f¤flkD¨7.o =ua'[AsAi

(174) clkWm‰ p clo

(175) s]e'o

(176) o

(177) [Aoi Y [u\[As Y gzm'cls]gDf*\k p [Aflflcdm'“®kDti Y [:y

(178) e†m'sAi

(179) clkWm~ž‡[AiQ¨*[A[]m®i Y chm o Y [Aflf¤ocdm®i

(180) [ x \o#kD n†Y g x i«chgjf p 8c 5 [ xx []m‹p i

(181) cdgDf/[AY³´e†gDi«c¤k'p m'o]B  A~[°o

(182) iIg x i#Y ž‹q x [As]gDflf¤cdm'“~i Y [ “‹[]m'[ x gDCf ':x k‹c¤xi«[ x p [A³†Y e†gDi

(183) clkWm'Eo p D i []mŸ‹¨t[*cdm‹p i k e'sA[i [7\k [Afl"c !]gDi

(184) clkWm%kDi ["yªe†m'sAi

(185) clkWm%gDo)gzmY [AfdgDo

(186) i«xc¤s:k g cl“zc x cdm'“z[gzm ¨*[sAY kWm'sAfde p [¥xž‹q–“zcl¦'chm'“–o«kW\[[Av†p gz\uY n'fl[Ao] #x

(187) x a'[AsAi

(188) clkWmFp 0°“zcl¦z[Ao:i [¦¯g x cdgDi«c¤k'm†gDf ?k \e'fdgDi

(189) clkWx m'o kD*p i [AY o

(190) [ c Y 5¿[ []mziyªe†m'sAi

(191) clkWm'Yogzm i [Y sAk [Ao-n†kWx m cdm'“®[AvWclo

(192) i«[]xm'sA[ [AoIe'flY i

(193) o] ¬?iclogDflo

(194) kn Y kj½ ¦zx [ p i Y gDi#i [ x o«kzfde'i

(195) clkWm~Ykj)i [uY [AfdgDo

(196) i

(197) cls cdm'“z[–n kWž'fl[]\ Y sAkWY mz¦‹[ “z[Ao:i

(198) k–i [o

(199) kzx fde'i

(200) clkWx mkD)X7i Y [ cl“zc cdm'“z[un k'ž'f¤[]\ ¨ []m±i [#[AfdgDo

(201) i

(202) clso

(203) i

(204) c 5Fm'[Ao

(205) o7kDi [ cdm'“z[už†[AsAk'\[Ao¦‹[ q¥fdg “z[z  [ gzn†n x kDv'cd\ugDi

(206) clkWm–ž‹qu¢£m'cli

(207) [[Afl[]\[]mzi#\[Ai Y k p o:¨7clf¤fž†[g‹m†gDflq !A[ p cdm w g x i ‰rkDFi Y clo#n†gzn†[ x   . . . . . . GHGJILKLMONOM/P.

(208) ^.    

(209) H  </

(210) . ) ²,  «  7®; )

(211) « - ¬Y Úm¡i Y clo:o

(212) [AsAi

(213) clkWmŸ ¨t[ž x c¤[ Mq¡cdmzi xx k p e'x sA[Y i Y [x \up gDcdxm§m'kzi-gDi

(214) clkWm'xogz) m p i Y [ ž†x gjo

(215) cls[Ax ³†e†p gDi

(216) clkWm'o i gDi¨*x [–oIe†ž'o

(217) Y [A³†e'[]m‹i

(218) flq x e'o

(219) [z6  A~[ [-?[ i x[ []g [ Y i

(220) k*':kzx cli

(221) [ Œ]Šzz ,Àk \rk x [ x p[AiIgDYclflo sAkWm'sA[ m'cdm'“¡i [w [A³´xe'clflcdžx cde†Y \ [A³†e†gDi

(222) clkWm'o:?k kWm'[o [Aflf D Àk sAkWm‹¦z[]m'cl[]m'sA[zŸ ¨*[ [AsAk i [ \ugDcdm±i

(223) kWn'clsAo7cdm g gD“ gzn ‰† dŒ‹  . . 

(224) . .  !"# $ %. & '(")+*-,./)0$1)+*-&2,43-&5!!. [Ax i76 ž†[~X7g~Y ž†k'e†Ym p [ p p†k'p n†[]m oIe†x ž'o

(225) [Ai%cdm g~Yn'fdgzm'Y [98+:DŸ*p ¨7cli Y g®p oIe<;¥Y sAcl[]m‹i

(226) flq oI\rkWkzYi Y p ž†k'e†m g q>=?6  []m%i [\c fl[oIe ÚgDsA[A@ kDi [:o [AflfFclo [-¢£m'[ gDo*i [#cd\ugD“‹[#kDFi [ o

(227) [Ai>B6 žzq–gu\ugzn†n'cdm'“ C = E B6 DF8 :HG 8JIK CNM ¨ Y p [ x L[ Y 8 I cloti Y [e'oIe†gjf¿‚/e'sAflc C p []) g‹m–oIn†x gDsAx [z a†e†ž'x o

(228) [A³†e'[]m‹Yi

(229) flqzŸM¨*[#gDo

(230) oIe†\x [i Y gDi C )PO I ) B6 ,, I gzmx i gDi*x gDflf£n†k‹p chm‹i

(231) o*kDp + @2Q x B6 ,)g [ [A“We'fdg ŸWc?)  Þ[z èŸzi [:M i¨tk#¦‹[AsAi

(232) k Y -o RTY SQ U Sx KWVXQŒK-‰†Ÿ g) [°f¤cdm'[]g Y f¤q2cdm []n†[]m []m‹iu?k gDflf*n†kzcdm‹i

(233) Zo Y[Y Q Y]\^xK_Y : , x :B6 E  A|cli ) i S [usAYkD¦¯g Y cdgzmzp iž†gDo

(234) clp o R S ,„kD i [7iIg‹m'“z[]mzi)n'fdgzm'[zŸ'¨*[gDo«o

(235) kWsAcdgDi«[7i [7sAkWm‹i gV¦Dg cdgzm‹i)ž†gDo

(236) clo R ,¨ c¤s c¤o [-¢£m'[ i Y†x k'x e'“ Y i Y [ x [AfdgDi«c¤k'm'Ho R SL` R+x abp Qdc aS ) Y m'koIe†\u\ugjx i

(237) clkWmuc  V1QEx e ,AŸ'¨ Y [ x [ c aS clo7i Y [ ' x kWm'[-½ s/%D[ p o7o«q´\ž†k‹fÀ  A~p [ ) gjf¤o«k¥cdm‹i k e'sA[ i [ ` e†m'clim'k \ugjf ¦z[AsAi

(238) k R I QdR \Hf R :hg>i R \Hf R :ji gzm ¨*[#o

(239) [Ali kQ [Ai kmSna,hK9koSpajQERS R

(240) a  #/q e'o

(241) cdm'“2oIe's Y flkWs]gjfsAkD¦¯g x cdgzmzi–gzm p sAkWmzi x gV¦¯g x cdgzm‹i¥ž†gDo«[Ao]Ÿ)i Y [§flcdm'[]g x [A³´e'clflcdž x cdeM\ [A³†e†gDi

(242) clkWm'o:s]gzm–ž†[¨ x cli

(243) i

(244) []m–gDv o ) o

(245) [A[ ':kzcli

(246) v[ z x ) Œ]Šzz  , ŸW[Av³†e†gDi

(247) clkWm'o ) ŒzŒz Ô&‰ 4 ,)gzm p ) ŒzŒz Ô ‰ +&,, = qsr Spalt \ Svowxa y \ avw>S a t Sv]wxa a t|{ S Q ; ) ‰† èŒ , cd>m @AK i u i :pu :<u w Spa Sna t Spa r SpaLt9{ I Q ; ) ‰†  ‰ , cd>m @AK y i u ¨7) cli Y i Y [%?kzflf¤kD¨7cdm'“~ž†k'e†m p g x q2sAkWm p cli

(248) clkWm'o ) o

(249) [A[ ':k‹c¤i«[ x ) Œ]Šzz  , Ÿ [A³†e†gDi

(250) clkWm'o ) ŒzŒz  ‰z Š ,#gzm p ŒzŒ‹8  0†Œ ,, = q}r Sna t Sv w a v \ av w S v z r S t S a ) ‰†  0 , aQd~ kW>m =@lK I y : u u a€ : u w Spa S r a w Sna r So"a, Qd~XI ) S ƒS, ) ‰†  ^ , kW>m =@AK y y ) y  U‚ U‚ i S w Spa r S r a Q ) ‰†  7 , kW>m =@l„  r S ¬Úm±i Y [Ao

(251) [#[A³†e†gDi

(252) clkWm'o]Ÿ‡¨t[ Y gV¦z[g p kWn'i

(253) [ p i Y [ÀkzflflkD¨7cdm'“ m'k‹iIgDi

(254) clkWm'o = r Sna K w>Spa Q o

(255) q†\u\[Ai x clsi

(256) []m'o«k x o kD'iIgzm'“z[]m‹i

(257) cdgDfzo

(258) i x [Ao

(259) o x [AoIe'fliIgzm‹i

(260) oFg‹m p o

(261) i x [Ao

(262) osAkWe†n'fl[Ao]Ÿ Spa]K aS Q sAkD¦Dg x cdgzm‹igzm p \clvW[ p sAkW\un†k'm'[]mzi

(263) o*kD"i Y [#o

(264) [AsAkWm p Úe†m p gz\[]m‹iIgDf ?k x \9kD iu Y [\u c p†p fl[ o-e x  gjsAL[ @lK ) „8, S]Q sAkD¦¯g x cdgzm‹i p [ x cl¦DgDi

(265) cl¦z[¨c¤i Y§x [AoIn‡[AsAii« k YSŸ i 9Q {]† R † Q[Av'i

(266) [ x m†gDfflkWg p o x [-?[ x

(267) x [ p i

(268) ki Y [\c p†p f¤[oIe x  gDsAL [ @:Ÿ . äèå"æFädç.

(269) 

(270)  

(271) 

(272) . . Q r S]R S Q. Wk e'i¨7g x p e†m'clim'X7k xY \ugDf¦zx [AsAi

(273) k x i«kui Y x [ž†k'e†Y m p g x q1=@6cdm–i Y [ Y p iIg‹m'“z[]mzi7n'fdgzm'[z  p cloY m'k Y \ugDfx ¦z[AsAi

(274) k cdm±x i [iIg‹m'“z[]mzi7n'fdgzm'[o kWe'f m'kzi7ž‡[sAkWm‹Úe'o

(275) [ ¨c¤i i [#o

(276) i [Ao

(277) o*i

(278) []m'o

(279) k K ). ‰†   , ) ‰†  4 , ) ‰†  + ,. e†m'c¤i:iIgzm'“‹[]mzi7¦‹[AsAi

(280) k x i

(281) kui Y [ž‡kWe†m p g x q1=@ K  Qd~ † R † Q [Av'i

(282) [ x m†gDf[ p “z[flkWg p on‡[ x e†m'cli:f¤[]m'“‹i Y kDi Y [ž‡kWe†m p g x q1=@Ÿ  Q  a R a f R I Q )   t   , f R I Q   y   Q [Av'i

(283) [ x m†gDf ) ‰†  Š , [ p “‹[ \kW\r[]mzi*flkWg p on‡[ x e†m'cli:fl[]m'“zi Y kj²i Y [ž‡kWe†m p g x 1q =@:Ÿ Q‘flchm'[[Afl[]\[]m‹igjf¤k'm'“ui Y [ž†k'e†m p g x 1q =@  k¯¨Ÿ´ž‹q–gDo

(284) oIe†\cdm'“%i Y gDi = c ,±i Y [\ugDi

(285) [ x chgjf£kj²i Y [#o Y [Af¤f"clo[AfdgDo«i

(286) clszŸ Y kW\rkz“z[]m'[AkWe'og‹m p c¤o«kzi x kWn'clszŸ clc ,¡i Y [#o

(287) i x gjchm'o:g x [#oI\ugjf¤f[A¦z[ x q'¨ Y [ x [#cdm–i Y [o Y [Aflf?Ÿ clclc , i Y [o«iIgDi

(288) [7kjFo

(289) i x [Ao«otclog‹n†n x kDvWcd\ugDi«c¤¦‹[Af¤q%n'fhg‹m'[ gzm p n†g x gDflfl[Af i

(290) ki Y [#\c p†p fl[oIe x  gDsA[zŸ cli7clon x k¯¦‹[ p chm ':kzcli

(291) [ x ) Œ]Šzz& ,i Y gDi r Spa Q

(292)  Spa oK w Spa Q

(293) I  Spa  K ) ‰† dŒ ; , ] Œ ‰ ¨ Y [ x [  Y Spa Q : \  vp  q k S k a t x k Sx  k a t \ :  x v v k Spa k Y z K  p† p gzm p  x  p []m'kzx i«[ x [AoIn†[As-x½ i

(294) cl¦zp [Aflq®Y i [[Afdp gDo

(295) i

(296) cls¥p \Y k e'flc)i

(297) []m'o«k x Àk x n'fdgzm'[%o

(298) i x [Ao«o

(299) [Ao]Ÿ i [¥\c fl[¥o-e  gjsA[ o«i gDcdm¡i

(300) []m'o

(301) k gzm i [\k cÔ¢M[ s g‹m'“z[kD"s]e ¦¯gDi-e [i

(302) []m'o«k   ƒcdm†gDflflqzŸ†i Y "x [! [Av´n x [A† o«o

(303) † clkWm'x o7kD i Y [:sAkW\un‡kWm'[]mzi«o  g‹m p  gDo

(304) o

(305) k'sAcdgDi

(306) [ p ¨7cli Y g p cloIn'fdgV½ sA[]\[]m‹i7¦z[AsAi

(307) k Q$# R g [#“zcl¦z[]m¡žzq   )%! , Q \ ) # &  t # &  , y  # K ) ‰† dŒ‹Œ , I : u   )%! ,Q$# &  t v&  # v t '\ v ) 0# v &  y # & v , t '\ v ) 0# v &  y # & v , „ ) ‰† dŒV ‰ , I u u u . QER I f. . QE SoR S Q. . (šM™*)dš†˜)èº,+š !.-­º£™ C   !dš†˜)èº,+ =/oIe†ž'o

(308) [A³†e'[]m‹i

(309) flqz٬t[gDo

(310) oIe† \r[#i Y gDi:i Y [#o Y [AflfclosAfdgz\un‡[ p gDflkWm'“¥g°n†g x il=@,H/ Q ) x //,*kDFx cli

(311) o#ž†k'e†m p g C x qz) Ÿ ¨7cli Y  \[]gDo ) //,"0  ;‡Ÿ´g‹m p i Y gDi*cli:p c¤o:x flkWg p [ p pgDflclkWo

(312) i m'x “~cdž†cle'i

(313) i

(314) o°[ p sAkW?\uk n'x sAfl[][ \ []m‹iIg‹g m p q6gn†g p clibo

(315) i =x @cdž†\ e'i

(316) Q [ p \kW\ \,hK []m‹i \  Q  2=J6 ƒ x ykW\ /%i Y kD[–cl[Ai

(317) ³†o%e†ž†gDi

(318) kWcle†kWmm'o g ) ‰†q  èŒž‹,#q i

(319) kg. GHGJILKLMONOM/P.

(320) .    

(321) H  </

(322) . ‰‡x   AŸ ‰† dŒzŒ,g‹m p ) †‰  èŒ]‰ ,AŸ x [A[]m o?k x \ e'fdggjf¤flkD¨7o/i

(323) ko

(324) i-gDi

(325) [7i Y [:n x kWž'fl[]\9chm°i Y [Àk‹f¤flkD¨7cdm'“ ?k \ M M M  #

(326) r )

(327) : ) 6 ,, I K  ) : ) =J6 ,O, I K  ) : ) =J6 ,, I K   \ \ ) ‰† dŒ 0 , M M   r .    k< k )  K ! ,Q )%! ,hK !  ¨ Y [ x B[ =

(328) :   k )  K ! ,Q!#"

(329)  Spa%$  Spa )  ,   )%! , t Œ]‰ Spa )  ,  ) ! ,'&)( k Y \ Y : K t )*+ )  ` ! t  `-, )%! ,,  K ) ‰† dŒ ^ ,  )%! ,Q "l ` ! ( k Y \ Y : gzm p  M )

(330) . \ ) 6 ,, : . : ) 6 , D ! *0/ Q!10K # v *0/ Q ;2&mK Q $! Y¨ [ x .[ # U v p []m'kzi

(331) [Aoi Y [*kWe'i¨7g x p e†m'c¤i)m'f k x \ugDf p [  x cl¦¯gDi i«c¤¦‹[7i

(332) k#i Y I [7U ž†i k'e†m p g x q  /z  S {®k x [ASk¯¦‹[ x Ÿ cdm ) ‰†Y  èŒA^ , ¨*[ Y gV¦z[tgjo

(333) oIe†\[ p i Y gDii Y [tž‡kWe†m p g x q \ clo)n†g x g‹\[Ai

(334) [ x "c !A[ p žz4q 3 G Y Q  ) 3,AŸ o

(335) kui gDi  Q65 kmS )7 S ,98 )7  ,98 3J„ ) ‰† dŒ 7 , p [AiIgDcl,fo

(336) k'\[u\k x [i Y [[Av†n x [Ao

(337) o

(338) clkWm ) ‰‡ dŒA^ ,>=:¨t[ Y gV¦z[ue'o

(339) [ p i Y [ucdm‹¢£m'cli

(340) [Ao

(341) cd\ugjf ¿  A [  i ' e o x kzi-gDi

(342) clkWm°¦z[AsAi

(343) k x ¨ Y kzo

(344) [#[Av†n x [Ao

(345) o«c¤k'm§gDo*Úe†m'sAi

(346) clkWm±kD p cloIn'fdgDsA[]\r[]mzi ! clo“‹c¤¦‹[]m§ž‹q , )%! ,Q: ha ) # a t S # S ,_R  t \ : ha # ) ‰† dŒV  , a & R I K a IU : u ¨7cli Y ha Q ; \ <

(347) ha K

(348) ha Q>= ; Œ „ ) ‰† dŒ4 , : y Œ ;@? ƒ x kW\ ) ‰†   ,AŸ ) ‰‡8  4 ,AŸ ) ‰† Ô&Š ,tg‹m p ) ‰† dŒ]& ,AŸ ) ‰‡ dŒ 4 ,AŸ‹¨*[#kWž'iIgDcdm v  `, )%! , Q )  a   t r a   , ) # I U a t a # v ,hK ) ‰† dŒ + , u o

(349) kui Y gDi v ) 87 , ) =. . %!.  ) ,Q. "l . ` ! ( k Y \ Y : t )*+ q . `. !. t )a . . t r a .  # I Ua , ). ACBEDF G%DIHKJMLONPLONRQ   %WS < P " Q9TUWVX0Y |  5& S < P"OS _    [` Q9aIbOT  Y m  Hj&5. dcB H> "  & b. t. ua. z #v, . „. Pƒ Q9TUU-Z[Y0YI\^] . äèå"æFädç.

(350) 

(351)  

(352) 

(353)  V.  *o(n)+* #H&]( &&5* ( )E(3 * ,p3-&5!"!,. 

(354)  . *p kWm'x o

(355) c p [ x i¨*k¥i Y chm¡o Y [Aflflo¨ Y kzo

(356) [u\c p†p Y fl[uoIe xY  gDsA[AoL@ p†pgzm p @%x yQk‹chm‹i#gDflkWm'“§p g%sAkW\ux \k'Y m ž†k'e†m g qY†x  a†Y e†ž'o

(357) [A³†e'[]m‹i

(358) flqzC ŸF¨*[up gDo

(359) C o-e†\[i gDi:i [Ap o

(360) [up \c fl[¥oIe  gDsA[AoL@ pgzm @ g [i [ cd\ugD“z[Ao/Y i kWe'“ ž'c yQ[AsAi

(361) clkWm'o Y gzm p %xkD iQ¨*k#ž†kWe†pm [ k'n†[]mx oIe†ž'o«x[Ai

(362) o 6 gzm 6  kDFY g#n'fdgzm'[ 8 : ¨7cli o-<e ;¥sAcl[]mzi

(363) flq¡oI\k'kzi ž†k'e†m g cl[Ao =J6(g‹m =?6   {®k [AkD¦z[ Ÿz¨*[gDo

(364) oIe†\r[#i gDi = c , X7Y [)\c p†p fl[to-Y e x  gjsA[ @§cloFsAfdgz\°p n†[ p gjf¤k'pm'“p g7n†g x i  /kD†c¤pi«oFž†kWe†m p g Y x qzŸD¨7cli Y \[]gDo )  /x ,"0 ;†ŸDykzcdmzi

(365) o:¨7cli @ gjf¤k'm' “ Ÿgzm c¤o:flkWg [ gDflkWm' “ 6g‹m gDflkWm'“ui [sAkW\un'fl[]\[]m‹iIg q n†g x i  \ kjFi Y [ ž‡kWe†m p g x qz  # x c¤[ MqzŸ ¨*[ Y gV¦z[ ) ‰† dŒV Š , =@ Q

(366)  /  \  „ C *k x

(367) x [Ao-n†kWm p cdm'“ui

(368) k°i Y clo p [AsAkW\°n†kzo

(369) cli

(370) clkWmŸ ¨*[#“z[Ai*i Y†x kWe'“ Y i Y [ gzn†n'flcls]gDi

(371) clkWm ) , J\ = ) ‰† Ô&‰ ; , =J6 Q  /  \  „ clc , X7Y [o Y x [Af¤Jf @x ykzcdmzi«ot¨c¤i Y @ gDflkWp m'“ x ®gzm p Y clotflkWg p [ p gDflkWm'“ g‹m p gDflkWm'“i Y [:sAkW\un'fl[-½ \[]mzi-g q¥n†g i \ kDFcli

(372) o#ž†kWe†m g q¥o«kui gDi ) ‰† Ô‰‡Œ , =@ Q \ K =J6  Q   \   K C ¨ Y [ x [   Q )  , J\ ) $,   ::flf i Y [Ao

(373) [#sAk'm'o

(374) c p [ x gDi

(375) clkWm'og x [clflfde'o

(376) i x gDi«[ p ž‹q%ƒc¤“'e x [¥Œz  C[` aIb a2b T = X7Y [ž†kWe†m p g x q§sAkWm p cli

(377) clkWm'og‹m p i Y [ x []n x [Ao«[]mziIgji

(378) clkWm'okj²o Y [Aflfl o @(gzm p @ p p p p g x [#n†e x [Aflq%chm cls]gDi«c¤¦‹[ gzm s]gzm–ž†[#[Av'i

(379) []m [ i

(380) k\k x [:“z[]m'[ x gjf£o«c¤i-e†gDi

(381) clkWm'o] ¬Úm–n†g x i

(382) cls]e'fdg x Ÿ c ,±¨t[sAkWe'f p sAkWp m'o

(383) x c p [ x i Y [s]gjo

(384) [kDtg°o Y [Aflf @§¨ Y cls Y clogDflo

(385) k%sAfdgz\un†[ p gDflkWm'“–g%n†g x i  / kDFcli

(386) o#ž†kWe†m g q D clc ,¡¨t[#sAk'e'f p sAkWm'o

(387) c p [ x \k x [*y

(388) e†m'sAi

(389) clkWm'o#e'o

(390) cdm'“¥i Y [#o-gz\[#c p []gDo]  x x ) Y x p Y Y Y¨ clfla†[ e†ž') `o«[A, ³´p e'[][]m'm‹kzi

(391) i«flqz[AoŸ gDi oY [#g³†“‹e†[]gzm'm‹[ i

(392) clgDi

(393) f cl[Ao e'flx [z[AŸ fhgj¨*i

(394) [[p m'i

(395) kzkui

(396) [ i Y „8[#, o i Y [A[#f¤f ³´@¿e† g‹mzi

(397) cli

(398) cl[Ao [AfdgDi

(399) [ i

(400) kui [o [Afl

(401) f @ p p px xY x x Y p x x []m'sA€:[7n†o«k'qWm~o

(402) i«[]i \[%o ž†) LkWe†K m K/R g I ,c¤[Agzoxm =5p @)   gzKm   K R =@I ,"ŸF¨ ¨*Y [ cls Y [-¢£cdm'm'sA[–fde ip ¨*[k–gDflokWcds]m‹gji f x cdm'c o

(403) cl[As#sA¦zi[Ak sAi

(404) ik x kWoFm'i kY [7\°kWgDe'fi¨7[-g Àx [-p ½ e†m'clim'k x \ugDf¦z[AsAi

(405) k x o ) o

(406) [A[ ) ‰† Ô  ,, Ÿzi Y [e†m'c¤i:iIgzm'“‹[]mzi*¦z[AsAi

(407) k x o ) o

(408) [A[ ) ‰†8  4 ,,/gzm p i Y [#¦z[AsAi

(409) k x o R I [AH i R I   C[` aIb7aIb7a \ ¬Úm~g–n x [A¦'clkWe'o n†g‹n†[ xx [Afhgji

(410) [ p i

(411) kyªe†m'sAi«c¤k'mž‡[AiQ¨*[A[]m®n'fdgDi

(412) [Ao]Ÿ #/[ x m†g p kWe‹½ ƒ£gVqzk‹f¤fl[-½Q) []m  [ ) Œ] Š +z&Š X7,)Y cdm‹i x k p x e'sA[ p i xY [ gzm'“‹f¤[ Q ) LK   ,  x ¨c¤i Yx [AoIn†[AsAi:i

(413) k%i Y [ x Y [-?[ x []m'sA[ o

(414) q'o

(415) i

(416) []\ x K K/R I ,Ax   p clon†Yg gz\[Ai

(417) [ u¨7gDo7sAk'm'o

(418) iIgzm‹i D‡Àk yªe†m'sAi

(419) clkWm'o#ž†[Ai¨*[A[]m¡o [Aflflo]Ÿ¨*[ s]gzm%o

(420) cd\clfdg flq¡chm‹i k e'sA[i [ gzm'“zfl[ . . . . LQ. GHGJILKLMONOM/P.   , . ) LK.

(421)    

(422) H  </

(423)  +. ¨ xc¤i Y~x [AoIn‡[AsAii

(424) k¡i Y [ x [-?[ x []m'sA[%o

(425) qWo«i

(426) []\ flkWm'“z[ sAk'm'o

(427) iIgzm‹i] .  . AŸ"ž†e'icdm~“‹[]m'[ x gDf?Ÿ"i Y clorg‹m'“zfl[uclorm'k. . ) LK K/R ,. I. \ . / . . .  . . I \. . .  \. : .  . . :. \. . \.  : . . . /. .  .  . . \ . \.  \  \. Ž'e†m'sAi

(428) clkWm§ž‡[AiQ¨*[A[]m±iQ¨*ko Y [Aflflogzm p cli

(429) o x []n x [Ao

(430) []mzi-gDi

(431) clkWm  Y x Y Y x Y Y Y Y x xn cdm'A sAcdn'flgD[¥i«[AgD¦zi[ gzm‹i q¥[n‡kzž‡cd[ mzi:gVkD¦W clkWe Ÿ†cdkD\uFn'i flcl[A[ o#i cdY m'[“z[ i x  gzm'c¤oVoI\Ÿ†i clo

(432) o

(433) [clkWgzm%n†n'kjfl²cls]i gDY i

(434) [#clkW[Am±v'i

(435) kD[ Fx im†gj[f [gD5 sAi«k c¤xk'i

(436) m‹o]½ Ÿ‹c?[] Þ[zgDsA dŸ i

(437) clkWm M  ) ,-Q   ) ,7gzm p  ) ,-Q   ) ,hK „ ) ‰† Ô‰‹‰ , kzi

(438) [#i Y gDii Y [ x [AfdgDi

(439) clkWm  ) ,-Q   ) ,7cdm¡sAkWmVy

(440) e†m'sAi

(441) clkWm¡¨7cli Y ) ‰† Ô&Š ,tg‹m p cli

(442) o#gzm†gDflkz“ e†n†k'm>@ cd\un'flcl[Ao M ) ) ) ‰† Ô&‰ 0 ,   , Q  , Q ;  K   K     gDo7o«kWkWm–gj.o  f   Q!1   XY []m ) ‰†  Š ,)gzm p ) ‰† Ô&‰ 0 ,cd\un'flq = M  ) ,Q   ) ,Q y    K  „ ) ‰† Ô‰j^ , a†e†ž'o

(443) [A³†e'[]mzi«f¤qzŸ) ¨*[§gDo

(444) oIe†\[–i Y gDi xO [AfdgDi

(445) clkWm'o ) ‰† Ô ‰ 0&, g‹m p ) ‰† Ô‰D^ , g x [–o

(446) i

(447) clflf7oIgDi«c¤oª¢M[ p ¨ Y []m  f 7Q!1 y

(448) e†m'sAi

(449) clkWm–kDsAfdgDo

(450) o \ ,A  XY []mŸ†¨*[#[Av´gz\rchm'[i¨tkiq†n†[Ao7kD Y cdm'“z[ ž‡[ Y gV¦WclkWe x =. ).

(451) . =. . . . . . . . . . . . . . . . äèå"æFädç.

(452) 

(453)  

(454) 

(455)  U. c ,¡g Y ™*) )û •"¶  š  x )èº ™ ¨ Y c¤s Y cdm'oIe x Y [Ao#Y i Y [ sAk'mzi

(456) x cdm'e'cliQq®kD)i Y [ p lc oIn'fdgDsA[]\r[]mzi

(457) ogzm p kD i [#iIgzm'“z[]m‹i

(458) cdgDf kzi-gDi

(459) clkWm'ogDflkWm'“°i [ cdm'“z[#?k gDflfFn‡kzcdmzi«o kDŸ†c? Þ[z èŸ    ) , Q  ) , K ) ‰† Ô‰&7 , z  ), ) , `  , ) , Q ) ,  )   , `  , ) ,Q q )  `   , ) ,  )   , `   , ) , K  ¨ Y [ x [ , )  , )?x [AoIn  ,  )   ,, c¤o p [-¢£m'[ p ž‹q x [AfdgDi

(460) clkWm ) ‰† dŒ]  , D clc ,®gzm x ¶ èšM—A˜ )Û•"¶  š  )èº ™ ¨ Y cls Y kWm'flq¥cdm'oIe x [Aoi Y [#sAk'mzi

(461) cdm'e'cliQq%kDFi Y [ p c¤o-n'fhgjsA[]\[]mzi«o Àk gDflfFn‡kzcdmzi«o kD Ÿ c? Þ[z dŸ    ) , Q   ) ,hK ) ‰† Ô‰‹  , z  , ) ` ) q), ) ) . . . . . !. . . . . . . . . ,. Q. . , y.  . ,,. . , „ . X Y e'o*i Y [#o

(462) [AsAk'm p [A³´e†gDi«c¤k'm%kD x [AfdgDi

(463) clkWm ) ‰†  ‰ 7 ,clo x []n'fdgDsA[ p ž‹q¥i Y [ x [A³´e'c x []\[]m‹i ="i Y [ iIgzY m'“‹[]mzi

(464) cdgDf"sAkW\un‡kWm'[]m‹ikD)i Y [r\rY kW\x []m‹i  ) o

(465) [A[ ) ‰† ÔŠ Y ,O,*Y clon x kWn†k x X7i

(466) clY kWm†gDf"i

(467) k%i Y [7y

(468) e†\un¡kD i [*x iIgzm'Y “‹[]mzi

(469) cdgDf†sAk'\un†kWm'[]m‹i

(470) o/kD£i [ Y k‹Y iIgDi

(471) clkWm'o)gDflkWm'“#i [ cdm'“z[p   Y [7sAk'p [;¥sApcl[]m‹ix u\[]g¯p ½ oIe [Ao*x i [:[AfdgDo

(472) i

(473) cls#o

(474) i«8c 5Fm'[Ao

(475) o7gDflkWm'“i [ chm'“‹[BDWcli*clon†k‹o

(476) cli

(477) cl¦z[gzm c¤i*o k'e'f ž‡[ [Ai«[ \cdm'[ [Av†n†[ cd\[]m‹iIgDflflqz  C[` aIb7aIb  \ #[]m'[ x gDflflqzŸ i Y [rn†g x gz\[Ai

(478) [ x ¡clo p []n†[]m p []m‹ikWm¡i Y [un†kzo«c¤i«c¤k'm~gDflkWm'“–i Y [ Y cdm'“z[ „  }#m%i Y [:kzi Y Y [ x*Y gzmx p Ÿ'i Y Y [ x clY “zc p ž‡[ Y Yg]¦'clkWe x s]gzm%ž†[#cdm‹i

(479) [ x n x [Ai-gDi

(480) [ p gDo/i Y [#flch\rx c¤is]gDo

(481) x [#kD i Y [ [AfdgDo

(482) i

(483) cls–ž†[ gV¦'c¤k'eY kDx 7i [ x cdm'“z[%w ¨ x []xm®o«i

(484) Y c 5m'[Ao«osAk'[ ;¥sAcl[]mzi ~ž‡[AsAkW\[Ao¦‹[ q®fhg “z[z  A~[ sAkW\[ž†gjs %°i

(485) kui clo []\ug %°cdm g gj“ gzn 0†8  0†  

(486)  . x3 & &5-'5()+* ,>).(3 &

(487) 4-*o(")0* -$)+# !&5%. ­¬ mi Y c¤on†g x gjY “ x gzn Y ¨*[)o-e†\u\ug x c"!Ap [/i Y [*[Aw ³´e†x gDi«c¤k'x m'oFY kD†i Y [yªe†m'p sAi

(488) clkWmn Y x k'ž'f¤[]\±  #/qiIg %‹chm'x “ cdmzi«k gDsAsAk'e†mzi:i [ugDo

(489) oIe†\°n'i

(490) clkWm'o\ug [chm g gD“ gzn o:‰† dŒgzm ‰†  ‰†Ÿ†i [Ao

(491) [[A³†e†gDi

(492) clkWm'og [ “zcl¦z[]m¡žzqF= v v^z v qsr Spa t \ Svmwxa y \ avw>S a t Svowxa a t|{ S Q ; ch m @lK   i u i :pu :u ) ‰† Ô&‰ 4 ,  w>Spa Spa t Spa r Spa t9{ I Q ; ch m @lK  y i u v vz v qsr  Spa t \  Sv w  a y \  a v w  S a t  Sv w  a a t|{  S Q ; cd>m @

(493) K   i u i : u : u ) ‰† Ô&‰ + ,  w>Spa Spa t ?Spa r Spa t9{ I Q ; ch m @ „    y  i u ¬Úm x [Aa fdgDi«X7c¤k'Y m ) ‰† Ôx

(494) ‰ x + , ŸW¨*[p m'kzi«[#?k x o

(495) p cd\ux n'flclsAcliQq p ) i a ,7i Y [x sAkD¦¯g x chg‹mzi p [ x cl¦¯gDi«c¤¦‹[Ao#¨7cli Y§x [Ao-n†[AsAi i

(496) k Y   [#sAk [Ao-n†kWm cdm'“§ž†k'e†m g q%sAkWm cli

(497) clkWm'og [  Q!10K   Q ; ) ‰† Ô‰‹ Š , kWm  /K IU GHGJILKLMONOM/P.

(498) Œ;.    

(499) H  </

(500) . v I vS w a y :u r )w iS a y r a Q  S r. qsr pS a t    w Spa  y   w Spa r S .    . .  . vz \ av w S r ajQ ~ S t aS  a p: u u Sna r So" a, d ) S U ‚ Q ~ I y   S, U ‚. k'm. S.  \  D. v vz qsr  Spa t I  Sv w  a y \  a v w  S r JajQ ~  S t  :pu :pu u w Spa S r Ja w) Spa r +S<J a, Qd~ I )   y  y  y  U ‚ i w Spa r +S r Ja Q  S r ? S  \  D  . . ) ,. Q. . ) ,. Q. . . . . . kWm. ) ,hK. ) ,. . Q. y . Wk m  \ K k'm  \ K. . . a . kWm. a. S. M. S + S, U ‚. K. . ) , K. . M. kWm.  \ K  \  K. K. ¨ Y clfl[i Y [#sAkWm p cli

(501) clkWm'o:kD£y

(502) e†m'sAi

(503) clkWm¡e†n†kWm  p []n‡[]m p kWm±i Y [#iq´n‡[#kD Y cdm'“z[.= ™ ) )û  ) + M¶ ) o

(504) [A[ ) ‰† dŒ] ,/gzm p ) ‰† Ô‰ 7 ,O,    Q  kWm K , )  , `  Q )  `   , , )  $, `   kWm  D    ¶ èšM—A˜ )Û  ) + ¶ ) o

(505) [A[ ) ‰‡ dŒ]  ,/gzm p ) ‰† Ô‰‹  ,,    Q  kWm  K z q , )  , `  y )  ` $ , ,  )   , `   Q   kWm  „  . . !. . 

(506) . . ‰† . ) 80&; ,. ‰†  ‡Œ. ) 80 ,. )+%d&9& '?% !"&, .  [Ai7e'o*sAkWp m'o

(507) Y c p [ x Y i Y†x p x [A[7x [Av´g‹\un'fl[Ao ="iQ¨*kg x [Y [Av'i x x gDsAi«[ p  x kW\©n x gjsAi

(508) cls]gDf[]m'“zcdm'[A[ x cdm'“uo

(509) cliIe†gV½ i

(510) clkWm'og‹m i [#i c  kW\`gsAfdgDo

(511) o

(512) cls]gDfž†[]m's \ug %  

(513) 

(514)  !"# %$&$'( )*+,-/.102'34%5768.49

(515) :$';<(4%=>7*?*@768.(

(516)  . :Y o7gx p ¢ x o

(517) i*Y[Av´g‹\uY n'fl) [zŸWfl[Aie'o X7x [AY s]gjxf¤fi Y gDit\r[]mzi

(518) clkWm†m'[ p žzq p : x “‹q x clo½Q¿x kWs Y Ym'[ x p ) Œ]Š&p4z‰ ,Y gzm p [AkWOm g i½Qp a's 8 fhO gjc¤8s Œ]Š ) 4 ;&,A  [x k'kD)sAY kWm'o«Y c¤o«i

(519) o#kDti¨*kuc []Y m‹i

(520) cls]pgDf)o

(521) i gDcl“ i½Ú[p “z[ Y o Y [Aflx flo gzm o«[A[ƒcl“We [u‰ ,¨ cls yQkzcdm‹igjf¤k'm'“–i [[ “z[ g‹m ¨ c¤s g [ o

(522) q†x \u\[Ai x c¤s]gjY f7¨7cli x Y6x [AoIn‡[AsAi¥x i«ki Y p c¤o%[ p “zY [z  Xx Y [Y \c p†p p fl[§oIe x  gDsA[¡kDx []gDs Y o Y Y [Af¤f x Y gDoui Y [ ?k \ kDrg q†Y n†[ ž†x kzflcls n†x g gzž†k‹f¤k‹c Y ¨7cli x o

(523) i gDcl“ i%[ p “z[Ao] ©}sAkWe o

(524) [zp Ÿchm i [ []x gDf:f¤c ?p [ o

(525) cliIY e†gDx i«c¤k'm'o]Ÿ"i [uo

(526) i e'sAiIe [clor\e's \k [ sAk'\un'flc¤s]gji

(527) [ o

(528) cdm'sA[¥clichm'sAfde [Aouo«i

(529) c5¿[]m'[ o gzm kzi [ gzn†n'flchg‹m'sA[Ao]  } 5 o Y k x [un'x fhgji

(530) [-Àk x \o x) o

(531) [A[?k x [Av´g‹x \un'flE[ ::fl[]m'X7s]Y g x ½ÚƒM[ x«x gzm‹i

(532) [ ) Œ]&Š +D^ ,,:g x [¥p ž†x e'clfliužzq~gDoª½ o

(533) []\ž'flcdm'“g¡fhgY “z[§m'e†\ ž‡[ p kDiIe†ž†e'Y fdg ykzx cdm‹i

(534) o]  x ) [y

(535) e†m'sAi

(536) clx kWm2kDi¨*p k§sAq'flcdm cls]gDfi-e†ž†[Ao sAkWm'o

(537) i«c¤i-e'i

(538) [Ao7i [ž†gDo

(539) clsm'k [kDoIe's go

(540) i e'sAiIe [ o

(541) [A[ƒcl“We [A1o 0ugzm ^ ,   :. ACB. ED. @A. B. D. B. D. F-,-6G ;HH6I  ;H=J 6K;L=J1' 576G"'H M;H,8 4. äèå"æFädç.

(542) 

(543)  

(544) 

(545) . .).

(546). TT. ‰= [AkW\[Ai x q¥kDi Y [ Y q´n‡[ x ž†k‹f¤clsun†g x g‹ž†kzflkzc p gDf"o Y [Aflflo]  {~gDcdm±iIe†ž†[  : Q : . : t. a'[AsAk'm p g x q–iIe†ž‡[ C. .). GHGJILKLMONOM/P.

(547).  Q. )¬Úm‹i

(548) [ x o

(549) [AsAi«c¤k'm–flcdm'[Ao] . 0 =. .  . . . C.  . Q. sAkzo. . . . Q sAkzo   Q § o«chm .

(550) o cdmHe#sAkzoJV sAkzo #sAkzo?V. Q O t  ]e y  Q  |e t  e Q  AV. o

(551) cdm o

(552) cdm. Q.

(553) Œ]‰.    

(554) H  </

(555) . ^ = [-?[ x []m'sA[ p kW\°gDcdm'o]  H X7Y [¥m'[Av'i#[Av†gz\un'fl[¥closAfhgjo

(556) o

(557) cls]gDf)cdm[]m'“zcdm'[A[ x cdm'“~gzm p cliclo¦‹[ x q®kDÀi«[]me'o«[ p gDog Y ž†[]m's \ug x %%chm ¢£m'cli

(558) [[Afl[]\[]m‹ig‹n†n x kDvWcd\ugDi«c¤k'm'o]  .). C  ',-@ 5 6G"'(=>;L314

(559).

(560). 3-'C'6G"1

(561). ,-6G"'( 6G;<'6G.

(562).  '4%4%,- . X Y c¤o/[Av´g‹\un'fl[ Y gDo*ž†[A[]m°o

(563) iIe p cl[ p žzqo

(564) [A¦z[ x gDf£gze'i Y k x o]ŸDcdm%n†g x i

(565) cls]e'fdg x : x “zq x c¤oª½QkWs Y m'[ x ) Œ]Š&4z‰ ,AŸ #*g %D[ x ½(':kD¦¯gjf¤[A¦'o%‹qz½ c¤o Y ) Œ]Š +†Œ,AŸ #/[ x m†g p kWe ) Œ]Š‹Šz ,AŸ 7gjf¤fdg p cdm'[ ) Œ]Š +&0 ,AŸ 7e†ž'cl[ x ) Œ]Š‹ŠD^ ,AŸ‹ƒf3e'2 “‹“z[ ) Œ]Š 4&0 ,A  XY c¤o:[Av†gz\un'fl[ ) o

(566) [A[ƒc¤“'e x [ 7 ,*clon†g x gz\[Ai

(567) [ x c"!A[ p ¨7cli Y i Y [ Y [Afdn kD*i Y [¥gzm'p “zfl>[ c%x o

(568) p k–ix Y O gDi#i ) Y [#yªe†m'sAi«c¤k'm~clokj k x p [ xAp–O p/ ) p clo

(569) sAk'mzi

(570) cdm'e'cliQqkDx 7o

(571) flkWn†x [Ao ,#¨ YY []m c Q gzm kDFk [ clo

(572) sAkWm‹i

(573) cdmWe'cliq–kDs]e ¦¯gjiIe [Ao1,/¨ []m \ sAkWmzi«chm'e'cliq¥kDo

(574) flkWn‡[Aogzm cLQ :   :  m&  F  

(575)  c "   \ XY c¤o*sAq'flchm p [ x c¤o7n†g x gz\[Ai

(576) [ x "c !A[ p i Y†x kWe'“ Y Y \ Q  I M q ;]K z gzm p i Y†x k'e'“ Y Ym: M q ;]K-‰ z Ÿ o

(577) kui Y gDi*i Y [ n‡kzo

(578) cli

(579) clkWm–¦‹[AsAi

(580) k x clo“zcl¦z[]m¡žzFq =

(581)  Q \ Q  sAkzo ) Y : ,hK : Q  o«chm ) Y : , K I QFY \  m&  F  

(582) > _   $5.W _ \ Xz Y c¤o*[]m p s]gzn°c¤o7n†g x gz\[Ai

(583) [ x "c !A[ p i Y†x kWe'“ Y Y \ Qdc t Y \  y ¨7cli Y Y \ M q K t  )  / y . . . c , K. äèå"æFädç.

(584) 

(585)  

(586) 

(587) . c  / : g‹m p i †Y x Wk e'“ Y. T . I‰ z Ÿ†o

(588) k%i Y gDi:i Y [un†k‹o

(589) cli

(590) clkWm®¦z[AsAi

(591) k x clo#“zcl¦z[]m ž‹q

(592)  7Q   \ Q¡sAkzo ) Y \ ,†sAk‹o ) Y : ,hK : Q®sAkzo ) Y \ ,†o

(593) cdm ) Y : ,hK I Q¡o

(594) cdm ) Y \ , t y §o«chmAc   ;. Ym : Q Ym:. M. q ;]K. . : .

(595)  . .  \.  . . .  :. .  . .  \. .   \. I. .  . . :. .

(596) .  .  . . . . \ . :.   . \. „ŽWe†m'sAi

(597) clkWm§ž‡[Ai¨t[A[]m¡p gY sAc x x:s]e'x fhg x x sAqWflcdm p [ x gzm p goIn Y [ x c¤s]gjfF[]m p s]gzn gzm i [Ac []n [Ao

(598) []m‹iIgDi«c¤k'm   ¿ « *!£

(599)  7®]" 

(600) *!

(601)   . 

(602)  !£    )!£ ƒ x k'\©x i Y [[A³†e†gDi

(603) clkWm'o:o

(604) iIgDi

(605) [ p cdm w g x gD“ x gzp n Y Y ‰†8  0†Ÿ'¨*[ p x[ x cl¦z[i Y [#sAk x«x [AoIn†k'p m p chm'“–¦Dg x cdgV½ i

(606) x clkWm†gDf?k \e'fdgDi

(607) clkWm'o:p chm¡oIe'cliIg‹ž'x f¤[oIn†gjsA[AY ogzm Y i []mŸ¨*[ n kD) ¦z[# [A v'cl o

(608) i

(609) []m'sA[uY gzm e†m'cl³´e'Y[]m'[Ao«o [Ax oIe'fli

(610) oV  A~x [§sAkWm'sAfdxe [~ž‹q n Y kD¦Wcdm'“2i gDiu) i  [–† o«kz fde' †i

(611)  clkWm'o Y x K p ,°Y kD#i [§x [AfdgDo

(612) i«c¤s cdYm'“z[ n kWž'fl[]\g [:sAkWm‹¦z[ “zcdm'“ui

(613) k°i [#o

(614) kzfde'i

(615) clkWm K  ,*kDFi [ c¤“‹c cdm'“z[ n k'ž'f¤[]\ ¨ []m sAk'[ ;¥sAcl[]mzi –ž†[AsAkW\r[Ao¦z[ x q¥fdg x “‹[z  .).

(616). 7 =. . . GHGJILKLMONOM/P. :.

(617) ŒA^.    

(618) H  </

(619) . 'J,p&2). 'J* &!"'J,(n  3 "*

(620) &. . ¿Y  [Ax i Y e'oucdm‹i x k p e'sA[®i Y [%Y ¢ x o

(621) iuo Y [Af¤fA@©cdm x p []n‡[]m p []x mzi

(622) flq(kjY g~n‡x kzo

(623) o

(624) cdž') fl[%yªe†m'x sAi«c¤k'm6¨7x cli Y gz) m'kzi [ o [Af¤f @  FA~[–e'o

(625) [–i [°Àk‹f¤flkD¨7cdm'“®?k \ kD [A[]m oi [Ak []\ o

(626) [A[ [A[]m‹½[ m†g Œ]Š‹ +†ŸWn  0zŠ ,, =  # S i S @ Q   r S # S K ¨ Y [ x [" Q r SoY R S p []m'kzi

(627) [Ax oi Y [*kWe'i¨7g x p e†) m'c¤i*m'k x \up gj)fW¦z[AsAi«k x i

(628) kL=5@ x ) o

(629) x [A[ ) ‰† Ô ,O,A  X7Y []mŸWž‹q \e'fli

(630) cdn'p f¤q'cdm'“§i [#[A³†e'clx flchž che \;[A³†e†gDx i

(631) clkWm'o ‰† dŒ ,tY g‹m p†‰†p   ‰ ,7ž‹q x gzn†n kWn cdgDp i

(632) [i

(633) [Ao

(634) i*Úe†m'sAi

(635) clkWm'o # S gzm # I ŸFž‹q~cdmzi

(636) [A“ gDi

(637) cdm'“ž‹qn†g i

(638) oe†n†kWm2i [¥\c fl[–oIe ÚgDsA[ @gzm žzq®iIg&%zcdm'“®cdr mzSpi

(639) ak gDsAsAp kWe†w>m‹Spia i Y [%“z[]m'[ x gDf*ž†kWe†*Y m p ) g x q~sAkWm ) p cli

(640) clkWm')o ) ‰†8  0&,:i

(641) kp )) ‰†8  7&,#gzm p i Y [¥o

(642) q†\u\[Ai x q~kD gzm Ÿ'¨*[#kWž'iIgDcdm–¨c¤i ‰† Ô  ,/i

(643) k ‰‡ Ô Š ,AŸ ‰† èŒzŒ ,)g‹m ‰† dŒ]&‰ ,1= .  $ r Spa  nS a ) ! , t w Spa Spa ) ! ', & 9 @ Q  `. t   q . `. !. . `, ) ! , Q. t. Spa )  u. r a t . .   a , #4S t ) .  # I U. t. ! @.   .  # I U  , „. . † èŒ. ) 0 , . z. . . aY e†ž'o«[A³´x e'[]m‹i

(644) flqzŸ7cli%¨7clf¤f#ž†[®sAkWm‹p¦z[]m'cl[]m‹i¥i

(645) k2e'o

(646) [§! i Y [¡cdm‹¢£m'c¤i«[Ao

(647) ) cd\ugDf x kzXi-gDY i

(648) clkWm2x ¦z[AsAi

(649) k ) x , † ¨ ) kzo«[#[Av´n [Ao«o

(650) clkWm–gDo*Úe†m'sAi

(651) clkWm–kj cloIn'fdgDsA[]\[]m‹i clo7“‹c¤¦‹[]m–žzq ‰† dŒV ,A  e'o]Ÿ‹ kW\ ‰†   , ‰†  Š ,AŸz¨*[#kWž'i-gDcdm Spa ) t t ) # t  r a   a , # S  I U   # I U  ,hK. o

(652) kui Y gDi*i Y [[Av†n x [Ao

(653) o

(654) clkWm ) 0† dŒ,s]gzm¡ž†[ x [A¨ x c¤i«i

(655) []m u.  $ r Spa Spa )%! , t w Spa Spa )%! ,. @9Q. &.  `. ! @. t   q . `. ! t . `, )%! ,. ‚„v´gjsAi

(656) flq¥cdm–i Y [#oIgz\[#¨7gVqzŸ'¨t[#¨*kWe'f p “z[Ai/Àk x i Y #[ o

(657) [AsAkWm p o Y A[ flf

(658) @  $ r  pS a   Spa ) !  , t w  pS a  J Spa )%!  , . &. @. Q   ` !  @ t   q   ` !  t. t.  $ r pS a  Spa )%!  , t w  pS a   Spa )%!  ,   . . . . z. †  ‰. „. ) 0 ,. z `,  ) !  ,

(659)  „. ) 0†  0 , p Y Y Y x Y Y kD¨Ÿ'¨*[gDo

(660) oIe†\[#i gDi7ž†kzi o [Aflf+@ g‹m @ g [#oIe's i gDi = c ,±i Y [#o Y [Aflf

(661) @ clo7sAfdgz\un†[ p gDflkWm'“  /zŸ†c? Þ[z dŸ†i Y [#sAkWm p cli

(662) clkWm'o ) ‰† Ô‰‹Š ,)g x [#oIgDi

(663) clo¢M[ p D clc ,¡i ) Y [#o Y [Aflflx ol@|gzm p @ p yQkzp cdm‹igDflp kWm'“ui Y [#sAY kW\u\kWm%o«c p Y [ ®o

(664) kui Y gDi7sAkWm p p clxi

(665) clkWm'o ) ‰† 80&; ,k x ‰† 80†Œ,)g [#o-gDi

(666) clo¢M[ Ÿ []n‡[]m chm'“¡kDFi [iq´n‡[#kD cdm'“z[cdmzi

(667) k°sAkWm'o

(668) c [ gDi

(669) clkWm  A|cli Y m'kzi-gDi

(670) clkWm'o ) ‰‡ dŒ] Š ,/gzm p ) ‰† Ô‰‡Œ ,AŸz¨*[#kWž'i-gDcdm§ž‹q g p†p cdm'“%[A³´e†gji

(671) clkWm'o ) 0†  ‰ ,AŸ ) 0† 80&, = .  $ r Spa  pS a )%! , t w Spa  pS a )%! ,.  `. ! @ t. t. . &. @.   ` !  @ t 

(672) 2+ q  ` ! t

(673) q `. !  t. `, )%! ,. z. . t. `, %) ! ,. z.

(674) q   ` ! t. t

(675) + q   ` !  t. . . . &. @.  . Q.    . z. `-,  %) !  , .    . z.  `,  ) ! ,

(676)  „ . äèå"æFädç. . †  ^. ) 0 ,.

(677) 

(678)  

(679) 

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