Parameter Identification for Laplace Equation and Approximation in Hardy Classes
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Texte intégral
(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. Parameter identification for Laplace equation and approximation in Hardy classes S.. . — M..
(3) . — J. . . N° 4295 Octobre 2001. ISSN 0249-6399. ISRN INRIA/RR--4295--FR+ENG. THÈME 4. apport de recherche.
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(34) 1 !#"%$. &(' )+* )-,.'/10. 2¦ Xf12 Xdi{acj o X oo ikW'd{^`ji{34 = ikv65@;²^`fhT87{i{v o d{jsbeiknqX o ikaVj o d{vyp:9« S
(35) TcX ;=<?> o Xvh^±gdgfm^±kXP²^±fmT®vqX,nqlXsf fhi(fmTcXPd{W(V^eXjf vhX´dgbikv#s,ikWYlcb`Xtgd{vh^ed{cb`XPig nhikWYX?¢aVjcsfh^eikjA@+²^`beb X²vq^`fqfmX,jd{n1@BDCFEô¥G;IHKJV¥V²^±fmTfmTcXacnqad{b s,ikj {X,j fm^`ikj @MLONP@BRQSEè« Tik# v UVHKJd{j o JXWZY[W]\k¥r²7Xjci{fh1X ^`_a bMc 2Id5¢ikv#fmTcXnqld{s,Xi{ ¢acjVsfm^`ikjcnfei{j 2 ²TViknhX o Xvh^±gdgfm^±kXn e`BDCFEd{vqXig f ¾ gkb o X,vs,bed{nhn
(36) ²^±fmT9ikv o X,6v Yµ¢ik6v JhWi;IWZU« XlVaVjf ^`_ka lNZ^_c« +Pb`nhicm¥ 2^`n*nhd{^ o fhi'Tcd{X( d ^_ka b}ikacj o d{vqp®^±n 9 d o WY^±fmn* d ^`_ka bYlcd{vmd{WYXfmvhG^ 2´d fm^`ikj /Î %1Ë« S
(37) TcX'¦2X,}X,nh{acXYW'X,d{nhaVvhXYik8j 9E²^eb`bwX(jci{fmX Vo o ^ej©kXjcX,vhd{bÄ«(¾?i²#XkXv,¥ ¢ikpv 9qNsr7¥fmTcXaVjc^`fs^evqs,b`X{¥ ²7XnhTcd{beb¬²vq^`fh X t o Nutvr« Tikvd{j ps,ikjVjcX,sfmX o ikl}X,j9nhaccnqXp f wyxz9¥b`Xff {|}XfmTcXs~Td{vhd{sfhX,vq^enyfm^`s¢acjVsfm^`ikj9i{} w fmvhd{s,Xn*i{~j w i{/i{fhT9¢aVjcsfh^eikjVn?dgj o nqld{sX,n²^eb`b2X^`j o ^`s´dgfhX o p 2« S
(38) TcX*¾?^`be}X,vyf¤nhldgs,fX 4c wdigGnq¨racd{vhXnhaVW'W'd{VbeX
(39) ¢acjcsfm^`ikjcnw²^±fmTYvhXnhl}X,sf5fmi o ikhj w ^`n¤X,¨ac^`lcl}X o ²^`fhT fmTcXsb§d{nqnh^`s´d{b jci{vhW d{j o ^`jcjcXv*lVvhi o acsf,¥cfmTd f
(40) ²7Xnh^`WYlcb±p9²vq^`fhIX |d{j o c1d%| ¥cvqX,nhl}X,sfm^±kXb`p{« Tik v IqJ_¥GfmTcX]_i{ikb`XC¾?^`be}X,vyfnhldgs,X ] a 4c2Id?X,¨ac^`lcl}X o ²^`fhKT A a ^`ns,bed{nhnq^es,d{b`b`p o X³jcX o ¥nhX,X X{«écR« /`,Z 1Ë« TVX,jcXkX,1v UV8¥¬fmTcXjcikvqWik~j (_ka 4 cwd7^`n*fhTcXacnhacd{b2ikjcMX ] e 4 | N _a. . _ C-l. e BDCFE 4| . o X,vq^`gdgfh^`{Xi{#²^±fmTvhXnhl}X,sffmi®fhTcXYs,ikWYlcb`Xt©gd{vq^§d{VbeX @°«E;*i{fmXg¥d{nacnhadgbÄ¥ fmTd f la 4 cwd}N( 4 cwd#²Tc^`beX |~Ny la |« TcX,jVXkXv wu9¥M^ l_ c w d*^`n?fmTVX nqaccnhXfi{n ^ _ cwd
(41) s,ikjcnq^enyfm^`jc+i{¢acjcsfh^ei{jc n e©fhTdgf*gd{jc^`nhTcXndgpf Gw fmik{XfmTVX,v ²^±fmTfmTcX^ev o Xvh^±gdgfm^±kXn e BDCFE m¥ ;NuJO¡ ¢U:£¤\k«wS
(42) TcXnhX1f l _a 4 c w d7nqfmd{j o n
(43) ¢ikv7fhTc¥X _ka 4¡cwd s,b`iknhaVvhXig^l_ cwd« Xd{b`nhi9acnqX'fhTcX+]riki{beXV ¦ d{jdgs~T nhlcd{s,X (_ka §Xcwd;i{5¢acjcsfh^ei{jcn }X,b`ikjc{^ejcfmi §hc wd7fhikkXfhTcX,v
(44) ²^±fmTfmTcX^ev o Xvh^±gdgfm^±kXn?aclfmiYikv o X,6 v U/« +Pnfmi¾?d{v o pªnhldgs,X,ni{¤fhTcXYacjc^±f o ^eBn ' C*¥ ¨ 4 N©¨ 4 c#C#d(s,d{j©X\r^`X²#X o d{nfmTcXnqld{s,XYi{¤¢acjVsfm^`ikjcn d{jd{b±pfm^`sY^ej C fhTdgfd{vqXnh¨ad{vqX ) nhacWYW'd{cb`Xi{js^evqs,b`X,ni{5vmd o ^eaVnb`X,nqnfmTd{j sX,j fmXvhX o dgfV« ½ f^end â¢×/Ü2⢿ = TcXvhXg¥ e`BDCFE#^`nfmTcX;=<?>.
(45) s,ikjVnhX,¨acXjcs,Xi{ fmTV^en o X³jc^±fm^`ikj®fmTd f7fmvhd{s,Xn
(46) ikj+fmTVXacjc^±f
(47) s,^`vhsbeX r i{¨ 4 ¢acjcsfm^`ikjcn
(48) }X,b`ikjc\fhih 4 c r}d°¥ d{j o ^ejfmTV^ennhXjcnh¥X ¨ 4 xK 4 cr}d*^ejcTVX,vh^±fmn
(49) fhTcX^ejcjVX,vlcvhi o acsf?d{j o s´d{j}X o X,nhsvh^`X o d{n
(50) fhTcXnhaccnqld{sX i{n 4c r}d?sikjcnq^enyfm^`jc^`j9¢aVjcsfh^eikjVn²TViknhX¥Tikacvh^`X,v
(51) si_X's,^`X,j fmn?i{jVX, dgfh^`{Xikv o Xv o i{dgjc^enqT ] = 7 @ ¨ 4 N c dN 4
(52) . l. . l. nhXX#Xg«Ñc« /±_¥ ¥gZ1{¢ikv o X³jc^±fm^`ikjcn/d{j o lcvhi{lXvqfm^`X,n i{V¾Pdgv o pPnhld{sX,n« + ¢acvqfhTcX,v2X¨ac^`gd{b`X,j f o X³cjc^`fh^ei{j i{ ¨ 4 ^`nfmTd f ^±f^`nfhTcXYnhldgs,X'i{7sikWYlcb`Xt©gd{b`acX o ¢acjcsfh^ei{jcn²TciknhX'vhX,d{b¤d{j o ^`W'd{k^`jd{vqpCld{vqfhnd{vhX igfmT+TdgvhWYikjc^`sP^`jCd{j o nqacs~T+fmTcdgf7fhTcX,^`v# 4 jci{vhWRikj+s^evqs,b`X,n i{¬vmd o ^`acn \;vqX,W'd{^`jcn7}ikacj o X o d{n \kR « ;?igfmX fhTdgf ¨84?nyfmvh^`sfhb`ps,i{jfmd{^`jcnPfmTVX ¢acjcsfm^`ikjcn*fmTdgfPd{vqX\d{jdgb`pfm^`s\dgj o acjc^±¢ikvqW'b±p9i{acj o X o ^e:j C*« X³jcd{beb±pb`Xf _ka 4 }XfhTcX¾Pd{v o p ) ]_i{ikb`X®¾?^`be}X,vyfnhld{sX ] = " @ _a 4 N ¨ 4 *nqacs~TfhTdgf OB C¢E ¨ 4 1JhW ;WZU Nu¨ 4 _ka 4 cr d = TcXvhXg¥ B C¢E^en*fmTc X ;=<R> o X,vq^`gdgfh^`{X\i{ ²^`fhTCvhXnhl}X,sfPfm:i ^ej C @X,¨ac^`lclX o ²^`fhTfmTVX(jcikvqW I _ka i{ s,ikaVvhnh X la 4IN ¨84« !#" !. !#". !#"kj. lnm#". !%$. &. ''p,%/. , /()"+*O0,".-#*O')'0/1"32. ¦2Xfj2KXPd nq^eWYlcb±psikjcjcXsfhX o }ikacj o X o+o ikW'd{^`jig`3 4 ²^`fhT+i{acj o d{vyph9 ¥_d ^Q a bX7{i{v o d{js,acvykXg¥V¢ikv Y[ cJO¡\d°«w¦2XffmTcX5 j 4 76$}X;fʲ7ijcikjcXW'l_fÊpiklXjnhaccnqXfhnPi{9¥cnmdgfh^enypr^ejc9 N 498 6 « Xd oVo vhXnhnfmTcX¢ikb`bei²^`jc'^ej kXvhnqX(lcvqikcb`X,:W ] :;; ¦7X^ejVk^±kXjCdlcvqX,nhsvh^`X o >art @?@ > JfhikkXfmTcXv²^±fmT9WYX´d{nqacvhXWYX,j fm# n ACB ik5j 68 ;; ;; ³j o d\¢acjcsfm^`ikEj D ikFj 4ªnqacs~TfhTdgf
(53) fhTcXnhikb`aVfm^`ik5j Ai{ ;; ; :;; G A N J ^`j 2~ ; < HA < N @ i{j 68 ;; cML)Npd mU ;; ;; ;; ;= CA ;; DKA N J i{j 4 ;= MUJI d{b`nhi'nmdgfh^eny³X,n7A O NPAHBRQ ½ jfmTcX nqX,¨acXbÄ¥²7XdgnhnhaVW'X
(54) fhTdg6f D TS ( U6 xz9 WVYXR F
(55) #[Z H4ANK9]\^6 `_ S
(56) #
(57) a_ bSdc TS L R4
(58) # feE$He ( aS¥_fmTVXnq^eWYlcb`X,nyf;s,d{nhX}X,^`jc'fhTcXikjcX ²TcX,vqgX 6 ^en*d{j9d{vqsi{ 9« +· c h «S
(59) TcX\lVvhX,nqX,j f²7i{v '^`n;nyfm^`bebgd{b`^ o ^`5WYX´d{nqacvhXWYX,j fmi n AHB d{vqXd´gd{^ebed{cb`X\ikjªnqikWYXnhacVnhXfi{ 6$ikjVb`p{¥lcvhir^ o X o ^±f?d{b`nhiYTd{nl}iknh^±fm^±kX ¦2X,}X,nh{acX WYX,d{nhacvqX{¥òikv = dgf*beX,d{nqf*ld{vyfm^ed{b`b` p @ ^`fmTVLX ;*X,acW'd{jVj i{acj o d{vyp9s,ikj o ^`fh^eikj9² dgnPvhXlcbed{s,X o fmTcXvhX pd¡P^evq^es~TVbeXfikjcXg«¾?i²7XkXv,¥G¢ikvnhd '{X\ig nh^`WYlcb`^es^`fÊp{¥G²7X nhTdgbeb2nyfm^`(s '9TVX,vhXfhiYfhTcXd{}i{Xs´d{nqX{« /)O,1op*'p,d/ , )`p. S
(60) Tdgf?fmTcX(d{i{X(^`j{X,vqnhX\lcvqikcb`X,W^`n?²#X,b`b ) liknqX o = W'X,d{jc^`jcfhTdgf?^`fhnPnqikbea_fm^`ikjC^`nPacjc^`¨ac5X @*d{nPnqi_i{jCd{n fmTcX7d oco ^±fm^`ikjdgbrWYX,d{nhacvqX,WYX,j fhn¤d{vhX7dgd{^`bed{cb`X#ikj(d{j pnhXfq6i{cl}iknq^`fh^`{X WYX´d{nqacvhXg¥k^end?vqX,nhaVb`flcvhikX o ^ej /` %M1/¢i{v?sb§d{nqnhXn;i{¤s,i{jfh^ejaci{acn|ikc^`js,irX's^eXjfhn,¥ d{j o vhXs´d{b`b`X o TcXvmdgfhX,vP^`jfhTcX,ikvqX,W.k« ½ j fmX,j o ^ejV fmiC²#ikv 'ikaVf\Tc^e{TcX,v\i{v o Xv\WYXfmTVi o n¥w²7X®nqTd{b`b7jcXX o Tci²7XkXvYfhTdgf\|*ikV^ej si_Xs^eXj fmnYTcikb o WYikvhX Ü Ü Ó _*`,Ø Ö.
(61) vhXkacbed{vh^±fÊpk¥G²TV^es~T©b`X´d o naVnPfmi+vqX,nyfmvh^`sfnqikWYX²Td f;fmTcX(s,bed{nhni{5d o WY^enqnh^`cbeX'|ikc^`jCs,irX's^eXjfhnacnhX o ^ej /±5 %M1Ä«7¦2Xf L zJV¥òd{j o XdYjcikjcXWYlVfÊps,ikjVjcX,sfmX o nhaccnqXf?i{ 4CfmTcX}ikacj o dgvqp®i{²Tc^`s~T o irX,n jci{f*^`jfhX,vqnhX,sf?fhTdgfi{ 4«5¡PX³jVXfhTcX,j ] = % @ _ N D[ ^ l _ c 4d D BDCFE W L fJXWu;:WiUXd{j o D[H
(62) { Q |*Xs´d{b`bcfmTcdg f ^ l_ ^`nwfmTcXnhXf5i{ U ) fh^eWYX,n o ^ -X,vhXj fm^ed{cb`X*¢acjVsfm^`ikjcn¥rfhTdgfwgd{jc^`nhT'ikjYfmTcX
(63) }ikacj o d{vqpd{nw²7Xbeb d{n
(64) fmTcX^e¥v c UI£Z\d#³vhnyf o X,vq^`gdgfh^`{X,n,«#S
(65) TcX^ o X,j fm^±³òd{c^`b`^`fÊp9vhXnhacb±f*s´d{jfmTVX,j9vhX´d o d{n
(66) ¢ikb`b`i²!n ] ·» · · !#" ¥@ 4 ck6Vd %$ '& N \ )( gD+*~,-l . A *A^ lc 2:d H *
(67) /. 0S5
(68) 0$ = u5T | @ TSbS55
(69) E gDsN D1* 32( }GTS #
(70) $ A Q O N A 4 O 5D Q N. !#"/4. 5. D. ')*. ". 4. n4 . 687. * ". /.**O, ) p. z ikvqX5vqX,kaVb§d{vq^`fÊp;ikjfmTcX¤nhi{beaVfh^ei{j i{rfmTVX#|ikc^`jlcvhi{cbeXW = u¤|T@¥lcvqi_^ o X o fhTcX¤s,irX's,^`X,j fqD®TVikb o n^±fmnqX,b± X,jci{ackT\vqX,kacbed{vq^`fÊp{¥k^en/jcX,X o X o ^`j(r^`X² i{c²#ikv'^`jc;ika_fTc^`kTcXvikv o X,v/WYXfmTVi o n¥{²Tc^`s~TWYX´d{jcn/WYXfmTVi o n d{nqX o ikjd{jd{b±pfm^`s(XtrfhX,jcnq^eikjVni{ fmTVX o Xvh^±{d fm^±kX,n¥Gjcigf;ikjcb±p9i{ fhTcX lVvhX,nqs,vq^e}X o©o dgfmd'¢acjVsfm^`ikj¬«S
(71) TcX ¢ikb`bei²^`jcvqX,nqacb`f*fmTVX,j9Tcikb o Fn ] ·» · 9 2:$@8V l _a 4 ck6Vd D[; _ S5
(72) WA)< = u¤T| @ [c S4 (_>=@?Aa 4 c2Idx. ^ _aCAB c 2:dL E (. B"
(73) YS 5S ?( S +4 _ J5S F: ED =Z @ F D G _ A <BDCFE cIH d}£ A <BDCFE c/OJ d W 4 _ H £KJ AB F H 8J: 2 F ; N JO¡ ¢U%Q S
(74) TcX©lcvhiri{W'dg' X,nacnhXªig(d }iri{fmnyfmvmdgl fmX,s~TVjc^e¨acXg¥;nhaVlcli{vqfmX o p fmTcXªlVvhX,s^enqX 'rjVi²b`X o kX©i{fmTcX XTd´r^eikaVv'ig
(75) fmTcX®nqikbea_fm^`ikj ALª< i{fhTcX®|ikc^`j lVvhikcb`X,W = u¤|T@ ²^`fhT vhX,nqlXsffhi D lVvhir^ o X o p fmTcX ¢ikb`bei²^`jcb`X,WYW'd] M5· µNOPP#" @Z k c a
(76) _8Q MMT AL< i S5 *
(77) ^0$R = u¤| @ TSbS5SR
(78) g D#U`T $ VD ^A
(79) @ uiknh^±fm^±r^`fÊp ] F D ; l- B"
(80) YS SH<( S X W zJ5S F A)< YW:
(81) # 28 ^e^ @ zikjcigfmikjc^`s,^±fÊp 6] % D Q D 4 ; l- % S F < q D Q HPD 4
(82) # 4 Z`T AL< B W A)< A
(83) # 28 ^e^`^ @7I ikj fmvqikb ][0 \FL < /] : S
(84) # a
(85) _ ( S a S 0$Z l X ¥ [SK ~ eEA_^ F S5
(86) 0$ = u¤| @`$ D N ^ D N J 4R\ E A_^aH b$ D N FL 4nc`T l F D [ J A)^a W A)¤ < W A_^ d »¬»_e »_e ·» · ¬9 ¦2Xf7A)Y < nhikb±kXfmi = u¤|T@ ¥òd{j o ^`j fmvqi o aVs,X] @. @ 4 Ngf £. ¦2Xf*jci²ihj<'nhikb±kXfmTcXlcvqikcb`X,W:] :;;. G ;. < ;=. ;;. hj<. hj< MU. kml hj<. )<. DKA. J N. @ 4 J Q N. N. i{j {i j. `^ j ikj. 6 4 Q. . 2 96. = "@. â¢×/Ü2⢿.
(87) ]_Xfqfm^`jcZ < N . l. o X,vh^±kX^`W'WYX o ^§d fmX,b±p ]. )<¤JV¥c²#X A. = @ )< NGhj< I < Q sikjcnyf~d{j f´¥ < s´d{jAXµs,ikj fmvqikb`beX o ^ej o X,l}X,j o Xj fmb±p i{ DKp acnq^ejV b`X,WYW'd "] ¢vhikW Dy l- ¥w²#X o X,vh^±kXfmTcdgf9A)<¤W A)^dV«éX{« ¾*X,jcsX{¥ A. ¦2XfCaVn³vqnqfªjcigfm^`s,XµfhTdgf,¥ dgnCd fmTcXWYikjcigfmikjc^`s,^±fÊp vqX,nhaVb`fY¢vhi{W < N kml A)< W kml A_^ NKY¤¥c²Tc^es~TlcaVfhn?dgj9Xj o fhifmTcX^`nhnhaVX{« S
(88) TcX,i{vhX,W ;²^eb`bjVi² }X*lcvhikX o d{n5nhirikj+d{n¤²#XPX,nyf~d{Vbe^`nhT+fhTdgf hj<(Xbei{jckn¤fmiX _ = ?Aa 4 c 2Id°¥rd{j o fhTdgf ^`fhnjcikvhW ^ejfmTd fnhld{sX ^`ns,ikj fhvhikb`beX o pnqikWYXsikjcnyf~d{j f _ zJYjci{f o XlXj o ^`jci{jED5¥jd{WYX,b±p ] = "@ zJD ; _- d{j o @ _a 4 ck6Vd N hj<V _ = ?A a 4 c 2Id dgj o hj<G W _ Q _ _>=@?Aa l v U N JV« Tvhi{W fhTcX,ikvqX,W {¥?²#X{Xf DKA)< lca4d x 4 ca4d¥?²TVX,jcsX
(89) ¦2XfaVn9lVvhikX = @¢ikI @ 4 q 4 c 9pd«5S
(90) Td{j 'rn*fmi'fmTcXnhTV^`f*fmTcXikvhXW /`,Z 1Ë¥fhTcX nqikb`aVfm^`ikj hj<'i{ = " @ Xbei{jcknfmi ?A a 4 c 2Id
(91) d{j o fmTcXvhXXt_^`nqfmn*nhi{W'Xsikjcnqfmd{j f l zJnhacs~T9fmTd f ] l ]_^`jcs,XgD
(92). [ l. hj<. l @ 4 4 a. N. ¥^±f
(93) ¢ikbeb`i²n
(94) ¢vhikWb`X,WYW'dfhTdgf hj<. +PnqnhacWYXjci²AfhTdgf = " @7TVikb o. ¦2Xfp@~. l cF@ 4 I A)<Df 4 d F] AL<Df W L A_^ . W. ?Aa .
(95) d{j o. >_ =Q a 4 cM6Vd l. ?A a . ¥c²Tc^`s~Tpr^`X,b o nF]. W l N l @ 4 UVHKJ. AB. L 4 A_^ 4. . I. Q. V¥òd{j o b`Xf*acnlcvhi{X ^±ffmiYTcikb o ¢i{vcU I \d« x¤l ^ _>=Q c 4d« X dgvhXs,bed{^`W'^`jcYfmTd f1@ 4 V _>=Q a 4 c 9d°« ½ j o XX o ] l. n¢i{v
(96) nhikWYX. [ >_ =Q @ 4 4 _>=Q a. D. AB. N. @} 4 _>=Q a. )< _4 =Q a . . I. DKA. = 6 @. Q. 7X,s,d{acnqXU _> =Q x _- ¥}²7X\{Xf*¢vhikW = @fmTcdgf hj<+^`n;}ikacj o X o ^`j _>= 4 a 4 c2Id pds,i{jcnqfmd{j f^ej o X ) lXj o d{j f?ikjED#« ½ f?s,i{W'Xn?i{aVffmTdgf*nqi^`n?^±fmnfmvhd{s,Xl ^`j8 _ =Q a 4 c 9pd¥c²TV^es~TCWYX,d{jcnfmTdgf*nqikWYX l}iknh^±fm^±kX s,ikjVnqf~dgjf _ Xt_^`nqfmn¥nqacs~TfhTdgfF] = @ hj< _ =Q a W _ Q ²Tc^`s~T¬¥fmikkXfmTcXv
(97) ²^`fhT = @¥cpr^`X,b o nF] l = @ A)< _ =Q a W _ Y I TvhikW = 6 @ d{j o = @¥_²7X o X,vq^`{XfhTcXXt_^`nqfmXjcl s,X i{dYsikjcnyf~d{j 1 f Y _>=Q JYnhacs~T9fmTdgFf ] ¦. @ 4 4 _ =Q a. W. @} 4 _>=Q a. I. Y _>=Q . ²Tc^`s~T®lcvhikXn7fmTVXPs,bed{^`W«¤¾?X,jVs,X{¥rfmTdgj9'n#fmifmTcX?nhTc^±f5fmTcXikvhXW ±/ ´Z1Ä¥hj<(Xbei{jckn#fhi nhikWYXs,ikjVnqf~dgjf _>=Q zJYXt_^`nqfmn¥ònhacs~T9fmTdgFf ] l S
(98) TacnF] F. F. ; _- =Q. D[. ; _- =Q. D[. hj<. hj<. _ = A a . _ = Aa jU \. W _>=Q @ 4 _>=Q a. ¤d{j o. _ = Aa 4c 2Id. Q. AB Q W _>=Q @ 4 Y _>=Q a I _ =Q _>=Q N >_ =Q @ _4 =Q a . uwvhikl}X,vyfÊp = "@7^`n
(99) fmTcXjXnqf~dgcbe^`nhTVX o dgfi{v o Xv I k¥V²^±fmT Y _>=Q AB « I ?nq^ejc®jVi² = @¥}²7X o X,vh^±kX\fhTcX(X°t_^enyfmX,jVs,XYi{¤nhi{W'X(s,ikjcnyf~d{j f _ PJnqacs~TªfmTdgf F DZ _- A)< _>= ?A a 4 c2Id#d{j o AL<G W _ QrS
(100) TcX]_ik}ikb`X^eW X oco ^`jc _>= 4 a 4 c2Idxz^ _kaCAB c 2Idw²^`fhT®s,ikj fm^`j ) _>=@A? a acikacn^`jgxyX,sfm^`ikj0/±71Ë¥^`n
(101) fmTcXbed{nqf?d{vqkacWYX,j f*jcX,X o X o fmi o Xvh^±kX = Z @°« Ü Ü Ó _*`,Ø Ö.
(102) /
(103) !!/)® -.+0 " 1 121 ?lfmi;d;s,ikjV¢i{vhW'd{bVW'd{lVlc^ejVc¥klcvqikcb`X,W = u¤| @/s,d{j}X Xt_lcvqX,nhnqX o ^ej\fhTcX
(104) acjc^±f o ^`n'HC?¥^`jYikv o X,vfhiP²7i{v' ²^`fhT ¾Pd{v o ps,bed{nhnqX,n^`j ikjcXi{ fhTcX,^`v(sb§d{nqnh^`s´d{b5¢vmd{WYX²7ikvB' /±kF1Ä« ½ j o X,X o ¥ ²TcXjcX{X,vh2 l}iknhnqX,nqnhX,nYd _a b }ikacj o d{vqp ¢ikv nhi{W'6 X Y c JO\d¥{fhTcXX,b`bei{k )ô d{vqnhs~Td´²n'^fmTVX,ikvqX,W /Ñ%V¥gfmTcWYn%V«Î_¥ %V« M1^`WYlcbe^`X,n fmTd f;fmTcXvhX\X°t_^enyfmnds,i{jV¢ikvhW'd{b/W'd{lclc^`jc+¢vhi{W fhTcX\acjc^±f o ^`n '<C ^`j fmi 2 Td´r^`jc9d _XtrfmXjcnh^`ikjªfmi C(« 2( $
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(108) TcX^`j{X,vqnhXlcvhi{cbeXW = u¤| @w²7Xd{vqXPsikjcs,XvhjcX o ²^`fhT®jci² fmd'{Xn
(109) lcbed{s,X;^`j+fmTVXPacjc^±f o ^`n''²TcX,vqX;^±f
(110) s´d{j Xsikjcnqfhvhacsfm^±kXb`p9nhi{b`{X o acnq^ejV^`j fmX,vqli{b§dgfh^ei{jYd{lclVvhi´t_^eW'dgfh^eikj9vhXnhacb±fmn*^`j9fhTcX¾Pd{v o p®nhlcd{s,X¨ 4 « j6"%$. #*+'2. 1*)*. 2. '/1, 1 7 / G)O,.'/10[)+'
(111) (*)*. m7p /.*0+0,". 0. d{s('©fmilcvhikVbeXW = u5|T@¥2²#X®d{nqnhacWYX+jci² fhTdgfh@Zi 4 ck6Vd dgj o Dq l- xy^ lc 9 \ 6Vd« ½ ffmTcXj ¢ikb`bei²n¢vhikWKfmTcXikvhXW(fmTdgf7A ^ la Q 4 c 9d°« / 9c » ® » òV ¢» TvhikW fhTcE X 'jci²b`X o {X+i{7fhTcEX >ca_t @KK4cM6Vddgj o i{7fmTcXYfmXW'l}X,vhdgfmaVvhX AHB©¤^ la BAck6Vd^ejµnqprnqfhX,W = u¤T | @¥²#X\s,d{jª^ejªlVvh^`jcs,^`lcb`Xcac^`b o fhTcX(fmvhd{s,X(ikj 6 x i{5d¢acjcsfm^`ikj©d{jdgb`pfm^`s\^`jV2«;S
(112) Tc^`n;Tci{b o n Xs´d{aVnhFX A ^en(Td{vhWYikjV^es^ej 2 dgj o I d{acs~T p ) |^`X,W'd{jcj X,¨adgfh^ei{jcn\X,jVnhacvqX+fmTdgf,¥ ^± E^endTd{vhWYikjV^es ¢acjcsfm^`ikj^`j 2nhdgfm^`nqpr^`jc HA N ikj 9[ mv MU = ^enfmTcXTdgvhWYikjc^`s sikjgxyackdgfmXi{% A @°¥cfmTcX j e NA I & ^`nPd{jd{jdgb`pfm^`s¢acjcsfh^ei{j^`8j 2«5S
(113) Tacn,¥}^`/²7X jci{fhX @Gtv(¢ikv
(114) nqikWYX lcvq^eWY^±fm^±kXi{ @ikEj 6 ¥_fmTcXj9fhTcX¢acjcsfh^ei{j ] k @Gtv ik5 e N
(115) ACB & j 68 I ^en d{sfhad{b`b`pYfmTVX?fmvhd{s,X?ikFj 6 i{2d = acjV^e¨acX @5¢acjcsfm^`ikj d{jdgb`pfm^`sP^`j 2 ] e(N «5zikvqX,ikXv,¥_nhWYi_igfmT ) jcX,nqn
(116) lcvhXnhXvqr^ejVlcvhikl}X,vyfm^`X,n ig2fmTcX?Td{vhWYikjV^es;sikjgxyackdgfm^`ikji{lXvmdgfhikv,¥rjd{WYX,b±pu¤vq^`gd{b`i n fhTcX,ikvqX,WRikv fmTcX I d{vhb`X,nqikj ) 7kdgs,ikcn
(117) i{jcX{¥_^eWYlcb`^eXn fmTd f d{b`nhi\}X,b`ikjckn#fmi(fhTcX1¾ g{b o Xv s,bed{nqn _aCAB c 9pd¥rnhXDX /`{¥ 6V¥} 1Ä« ½ ffmTacn*XbeikjVkn
(118) fmi'¾Pd{v o p®sb§d{nqnhXnPd{j o ^`jlcd{vqfh^esacb§dgv fmi _ka 4 ¥nqX,XfmTcX o X³jc^±fm^`ikjcn*^ejnqX,sfh^ei{jª_«`k« ;acvPdg^eW^`nfmTcXj9fhivqX,s,i{X,v ^ejfmTcX²Tcikb`Xi{} 2¥i{v?d f?b`X´dgnqf*ikj 4Nu9 \ 6 ¥¢vqikW fmTVHX 'jci²b`X o {X i{/^`fhnfhvmd{s¥X eªi{Ej 6 « ½ j o X,X o ¥}fhTc^en
(119) ¢acjVsfm^`ikj²7i{acb o nhi{b`{X¢ikv = u¤| @ nh^`jcsX A:NA|X ^ej 2~ d{j o fmTcXj c½W dL = k7@ D N£ |X ikjF4 ²TcX,vqXfhTcX9d{i{XX¨racd{be^±fÊp nhTci{acb o Xlcvqikl}X,vhb±p acj o X,vhnyfmiri o = jVikj fmd{jckXj fm^ed{bbe^`WY^`fhni{*fmTVXvq^ekT f Td{j o nh^ o X @« ;?i²U¥ D ^en
(120) fmTVXX°t_lXsfmX o nhi{beaVfh^ei{j9fhi = u¤| @7ikj 4« ¦. â¢×/Ü2⢿.
(121) zikvqX,ikXv,¥ ²#X² dgjf(fmTcXvhX,sikX,vyp lcvqi_sX o aVvhXfhi}Xs,i{j{X,vqkX,j fY^`j ikv o X,v fhis,d{vhvypµnqikWYX+nqfmd{c^`be^±fÊp {d j o vqikcacnyfmjcXnhn
(122) lcvqikl}X,vqfh^eXn,«5;acv#s,ikjcsX,vqj+TcX,vqX;^`n#fmTcdgf´¥r^ejlcvmd{sfm^`s,Xg¥VikjcX?W'dpjci{f 'jci² XtVd{sfhb`p]AHB jcikveµikj 60]
(123) ¢ikv?XtVd{WYlcb`X{¥¬l}ik^`jfʲ^`nhX\gd{b`acXn;i{)AHB W'^`kT fikjVb`pX(d´{dg^ebed{cb`X(fmTVvhikac{TCXt_l}X,vh^`WYX,j ) f~d{b o Xr^`s,XnYfhTdgf(jcX,sX,nhnhd{vh^`b±p ^ej o acs,X®jVik^enqX,nYd{j o lXvqfmaVvhdgfh^ei{jcn\i{
(124) fhTcX+WYX´d{nqacvhXWYX,j fmn« +?benqic¥wfmTcX 'jci²beX o kX5i{M e\vqX,¨ac^`vhX,n fmTcdgf i{_nhikWYXèlcvq^eWY^±fm^±kX5i{fmTcX,>artm¥ ²TV^es~T^en2fhi*}X¤s,ikWYlca_fmX o jacWYX,vq^es,d{beb±pk« + WYikvqXvqX´d{b`^enyfm^`s+lcvqikcb`X,W.^enfmTacnfmiCdglclcvhi´t_^`Wd fmX,b±p d{j o vqikcacnyfmb±p vqX,si{X,v ^ej fhTcXY²Tcikb`X+i{j 2 ¢vhikW fhTcX 'jci²b`X o kXig5dl}X,vqfhacvhcdgfm^`ikj e i{¤^±fmn*fmvhd{s,X eµikj 6 x(9¥²TcXvhX Y^`ndnqW'd{bebld{vhd{WYX ) fmXv;fmTdgf;nqf~dgj o n;¢ikvd = o XfhX,vqW'^`jc^`nqfh^es @WYX´dgnhacvqXi{¤fmTcXl}X,vyfmacvqdgfm^`ikj¬« ¾?i²#X{X,v,¥s,bed{nqnh^`s´d{bwdgjd{b±prfh^es ^ej fhX,vhl}ikbedgfm^`ikjCi{v*X°trfmvmdglikbedgfh^eikjvhXnhacb±fmnP¢vqikW o d f~di{jld{vyfPig fmTcX}ikacj o dgvqp = I dgvhb`X,W'd{jC^`j fmX,{vmd{b`n,¥ ¢ikv¤XtVd{WYlcb`5X @ o ijci{f5li{nhnhXnhn7d{j pYnqf~dgc^eb`^±fÊpYlcvhikl}X,vyfm^`X,n5ikjYfmTcX^ev5i²j+d{j o d{vqX*jVi{f5nhac^±f~d{VbeXfmiX,jcnqacvhX vhikVacnqfhjcX,nqn²^±fmT©vhXnhl}X,sffhi®lXvqfhacvhd fm^`ikjcn,¥ dgnnhTci²nfmTcXjVXtrflcvhikl}iknq^`fh^eikjC¢vqikW / M1Ä«(S
(125) TV^en^`n;fmTcX vhX,d{nhikj²T p®²7XjcXX o d'sikjcnqfhvmd{^`jcX o d{lVlcvhi´t_^eW'dgfh^ei{j9¢vhd{WYX²#ikv 'ò« ;?i²¥ o Xnhlc^±fmXfhTcX,nqXvhX,sikX,vyp \d{lclVvhi´t_^eW'dgfh^eikj¨acXnqfm^`ikjcnnqTcikacb o Xdglclcvhikd{s~TcX o ^`jacjc^±¢ikvhWKjcikvqW = nqX,XX{«éc« / Vn¥ 1#@°¥k^±fw^enwnq^eWYlcb`X,v fhiTd{j o beX fhTcX,W ^ej\fhTcX¾Pd{v o p nhld{s6 X ¨84²Tc^`s~Tl}iknqnhX,nqnhXn7d¾*^eb`Xvqfh^§d{j nqfhvhacsfmacvqX{« +Pb`nhic¥c¢ikv gd{vq^ei{acnvhX´dgnhikjcn¥vhikVacnqfhjcX,nqnPlcvqiklXvqfh^eXn?dgvhXX´d{nq^eXv
(126) fmiYX,jcnqacvhXfmTVX,vhXg« 9 \ » · ¢· _» e · c ¼ ¸ / 8· ¨84 |*Xs´d{b`b¬³vqnqffmTcX¢ikb`b`i²^`jc'd{nq^esacjc^`¨acX,jVX,nhnPvhX,nqacb±f´¥^`j¾?d{v o p+nhld{sX,n« d » » ö» O
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(141) }X,Td´r^ei{vw^en fhinqf~d fmX
(142) ikacvwvqX,si{X,vyplcvhi{cbeXW d{n¤d = Xnqf(@s,ikjcnyfmvhd{^ejVX o d{l ) lcvhi´t_^`Wd fm^`ikj^`nhnqacX
(143) ²Tc^`s~T^`n¤dikaVj o X o kXjcX,vhd{b`3^ 2,dgfm^`ikjYikjYnhacVnhXfhn¤i{ 9 i{}s,bed{nqnh^`s´d{b = o ad{b @XtrfmvqX,W'd{b lcvhi{cbeXWYn?^`~j ¨~4,« j6". !. . ". 0) *-#- +* 'f, © 2 * )-,.'/. ®X jVi² Xt_lcbed{^`j TVi²Kfmiªvqikcacnyfmb±p vqX,s,i{X,v'd{j ¨84\¢acjcsfm^`ikj ikj fmTVX+²Tcikb`X WYX´d{nqacvhXnPi{/^`fhnikaVj o d{vyp+gd{beaVX,nikj56 « Ü Ü Ó_*`,ØÖ. 2. ¢vhikW$d{lclcvqi´tV^`W'dgfmX.
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(145) TVX s,ikjVnh^ o X,vhdgfm^`ikjcn igònhX,sfm^`ikDj %V«`k«` d{vqX7^`j(fmTc^`n s,d{nhX7d{benqiPfmi?fmTcX#!X -X,sf fmTd hf e sik^ejVs,^ o X,n\²^±fmT fhTcXfhvmd{sXikj fhTcX²Tci{beX+}ikacj o d{vqVp 9Ki{*d = acjc^`¨ac5X @ ¢aVjcsfh^eikj dgjd{b±prfh^es ^ej 2 dgj o i{acj o X o ^`Vj 4 jcikvhW = d fbeX,d{nqf;^`l AHB8 @ 4 c 9pdB@l «¾?Xjcs,Xg¥ e N ¥¢ikv?fhTcXnhikb`aVfh^eikj ¨ 4 i{ . A e:£ .
(146) = ²Tc^`s~T^`n*{^`{X,j9p®fhTcXikvyfmTcik{ikjd{b d{jd{b±pfm^`s5@7lcvqigxyX,sfm^`ikj9i{}eCikj fhi¨ 4 « I7b§d{nqnh^`s´d{b = o ad{b @7XtrfmvqX,W'd{b lcvhi{cbeXWYnwWd´p fmTacnw}X i{òs,i{jcnqfhvhacsfm^±kXacnhX fhi;kXfò¥knh^`jcs,X
(147) ^±fwTci{b o n fhTdgfhNN « ¾?Xjcs,Xg¥Xnqf¨ 4 e:£. . . N. {d lclcvqi´tV^`W'dgfm^`ikj©ikjfhTcX(²Tci{beX}ikacj o d{vqpd{b`vhX,d o pClVvhir^ o Xnds,i{jcnqfhvhacsfm^±kX² d´pfmi+nqikb`{X\¢ikv o ^evqX,sf ¡P^`vh^`s~TcbeXf*ikv;*X,acW'd{jcjlcvqikcb`X,WYn,«#;acv#lcacvhl}iknqXjci² ²^`b`bG}XPfmi\nqTci²fhTdgf#fmTc^`n
(148) ^en7nqfm^`b`bfmTVX;s´d{nqX;¢ikv ^ej {X,vhnqX?lVvhikcb`X,WYn WYikvqX,ikXv,¥ ld{vyfm^ed{b`b`p(i{X,v o XfhX,vhWY^`jcX o nh^±fmad fm^`ikjcn ²TcXvhXAHB ikv}@d{vqX
(149) jci{f¤d´gd{^`b§d{VbeX ikjYfmTcX ²Tci{beX}ikacj o dgvqpW'd´p}X
(150) Td{j o b`X o d{n ²#X,b`bÄ¥rnh^`jcs,fX ¨ 4 XtrfhvhX,W'd{blVvhikcb`X,WYn¤s´dgj}X
(151) nhikb±kX o ¢vqikW o dgfmdikjld{vqfPikjfhTcXikaVj o d{vypi{jcb`p{¥^±wnqikWYX\vhikaVkT^`jV¢ikvqWd fm^`ikj^`nPk^±kXjCikj9fmTcX s,ikWYlcb`X,WYX,j fmd{vqp ld{vyf´« C9 / » ¼ · ¼ · · µ » · d " S
(152) TcX,nqX(dgvhXd{n ¢ikb`b`i²n¥c^`jfhTcXs´dgnhXi{ fmTcX¾?d{v o p®nhldgs, X ¨ 4 i{cnhXvqkXfhTdgfnhaVs~T^`nhnqacX,n o i'd{b`nhiYW'd '{X nhXjcnhX
(153) ^`j\kXjcX,vhd{bV¾?d{v o p(sb§d{nqnhX}n ¨ O¥ \ WAW ²7XvhX7fhTcXp Td´kX d{benqi;}X,X,j\d{lclcvqi d{s~TcX o ¥ nhXX /éZV¥ _n¥ 1Ä« ^±kX j 8 4 ck6Vd
(154) d{j o zJV¥ l : T^`j o N c ` dV¨ 4 W nqacs~TfhTdgf < h£. =. . A "!#
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(156) 5#H VJ « TcX,jVXkXv19?\76 s,ik^`jcs,^ o Xn*²^±fmTfmTcXd{vqsc)672 *98):
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(159) l l ¢ikvfhTcX acjc^`¨acX
(160) gd{beaVX i{òfmTcX = ¦ d{kvhd{jckX5fÊp_l}X5@lcd{vmd{WYXfmX,v BAP£¥\
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(162) TcXXTd´_^`ikv
(163) ²^±fmT9vhX,nqlXsf*fmi Bi{fmTcXXvhvhi{v6=c BGd d{j o i{/fhTcXs,ikjVnqlfmvhd{^`jf )c Bd o X³jcX o p ] 6=c)BdNyh£. . )c BdN. c BGd 4 . c BGd . ^ennqW'iri{fhTd{j o WYikjcigfmikjci{acn,« ½ j9ld{vyfm^`s,acbed{v,¥òdgn/B £\k¥ l 6=c)Bd Jj c)Bd ^`} > ¨ 4 O c BGd n ^`} ¨ 4 O Q +Pb±fmTci{ackT®fmTcXnhX;¢ikvqW(acbed{XvqX,W'd{^`j9^`WYlcb`^es^`f = fmTcX;lcd{vmd{WYXfmX,v BX^ejV'^`j kikb±kX o ^`jlcbed{s,Xi{2fhTcXjcikvqW s,ikjVnqfmvhd{^`jf @¥fhTcXpk^±kX vh^`nhXfmid'vqikcacnyf;dgbeki{vh^±fmTcW fhTdgf?d{b`bei² fhiVac^eb o c d¥ònhXX nqX,sfm^`ikjcnPZ d{j o _« ( ,'& ò0 ®
(164) 12 ",&+ 1 12!ª# ® ª(&1 ½ j fmTc^`nnqX,sfm^`ikj¬¥
(165) ²7XnhTd{b`b*Xs,ikjcsX,vqjcX o ²^±fmT sikj fm^`jraV^`fÊp lcvhikl}X,vyfm^`X,n+ig;fmTcXnhikb`aVfh^eikjVn+i{ = ¦ ¤u @ lcvhi{cbeXWYn²^±fmT9vhXnhl}X,sf*fhifmTcX o d f~d d{j o « Tikvj ¨ 4 ¥V²#Xnqfh^eb`b o X,jVi{fmX pA^`fhn*aVjc^e¨acX¨ 4 XtrfmXjcnh^`ikjfhifmTcX²Tcikb`Xacjc^±f o ^eBn '2 l = nhXX lVvhikl}iknh^±fm^`ikj©7@°«¤¦ Xf ] l . . . N. . c `. . ¨ 4 3. d . = . N. . . 2. N. . cS`. . 2¦ XffmTcX;d{lclcvqit_^`W'dgfm^`ikj®ikv#XtrfmXjcnh^`ikj9iklXvmdgfhikv,¥²Tc^`s~TWdglcn6P acjc^`¨acX(dgnhnhirs,^edgfhX o nqikb`aVfm^`ikj c ` d}N fmi'lcvhi{cbeXW = ¦ 5u@ ] . ·» · `]n 4 ck6Vd . . 4 ck6Vd 3 c d. =. .£ .£. . . = : n Q 4 ck6Vd7d{j o ~3 ikj fhi\fmTcX =. ¨ 4 3. d . . ¨ 4. Q. 4 kc 6Vd 3 . .
(166) ],
(167) # D
(168) # Sf S 9 T` $
(169) #[c
(170) YS (
(171) #M [S 4 kc 6Vd 3 ],
(172) # = : bS ( , b] ? ( dcne0$#¨ 4 X]n TS.
(173) #
(174) YSLMfe(
(175) #M S = 3 \ 2 X ],
(176) # < bS ( $
(177) # aSWS ([cE ( dcne . =. . S
(178) TcXlcvhiri{vhX¨raV^evqX,n?fhTcX¢ikb`bei²^`jcYbeXW'W'dV« M5· µ 9 T` $ c d?.£^ jc ` d
(179) YSL(
(180) #M [S1$ 4 cM6Vd 3 = p 4 ck6Vd d »¬_» e ];¦ X f cS _ _ d?XYd+nqX,¨acXjcs,Xi{ 4 ck6Vd 3 = nyfmvqikjckb±pªs,i{j{X,vqkX,j ffmi cS` d¥ d{j o b`Xf _ d{j o nqikb`{XfhTcX = ¦ ¤u @ lcvhi{cbeXWYn?vqX,bedgfmX o fh~i c _ _ d d{j o c d« ¡PX³cjcX jVi ² ] l ' N ¨ 4 W ^ ' N d{j o _ N ' -^ _ N ^ ' Q ¦7X,^`jcfmTcX}X,nyf7dglclcvhi´t_^`Wd fm^`ikji{}fmTVX o dgf~ d ^`jfmTcXs,b`iknqX o sikj kX°tnqaccnqXf ' i{}fmTVX?¾*^eb`}X,vqf5nqld{s,X ¨ 4 ¥cfhTcX¢ikbeb`i²^ejVsb§d{nqnh^`s´d{b s~Tdgvmd{sfmX,vq3^ 2,dgfm^`ikj9Tcikb o n
(181) ¢ikv /±M 1] = 5 % @ Fh ' Nc%c/hz£ d c £ mdd H JO Ü Ü Ó _*`,Ø Ö.
(182) XTd´{X] _ £ I _ £ . _ £ _ . W. _ £. . . d{j o fmTcXvhX¢ikvhX ^en}ikacj o X o « ¦#p+fhTcXs~Td{vmdgsfmXvh^`nqfh^es X,¨adgfh^eikj = % @¥V²#XkXf¢ikvdgbeb`UV8 I. (G W. _ . I. ]. _ = ´ Z @ ' ¦2Xfacns~TciriknqX'nqikWYX JO\±«S
(183) TcXvhX¢i{vhX{¥2fhTcX,vqXXt_^enyfmnnhikWYX^`j fmX,{X,v[c d ¥wnhacs~T©fmTd f F U¤H c/h. N. f. _ £ _ _ £ _ d H c/hz£ £ m d H JO. . N. [c d ]. . c.\f£ d. N. . ?nq^ejcYfmTVX,jX¨adgfm^`ikj = \ "@#²^`fhT {d j o f NN cc . d{j o ]. . dgnfhX,nyf*¢aVjcsfh^eikjVn,¥c²#X kXf ]. _ka . ²Tc^`s~Tpr^eXb o nF]. £ N. . N. _ c _ £. c £. . d . _ . '. . . £. . vhikW i{fhT9fhTcXd{}i{X^ejcX¨adgfm^`ikjcn¥²7XkXfF] c. . _ _ £ _ d H `Nc _ £ _ d c _ £ £ md H `N c _ £ m d Q. T. N. . c \6£ d _ . _a N. . . _. Fh. U H [c d _ £ _ £ _ d H J F V c d _ £ £ _ £ md H J F U H. £. c N. f. _ d{j o . Fh. JO. . cSh£ _ dd I. £ . _ d. £. W.
(184) H. c N c N. c N. _ £ _ d. £ _ d _ h _ £ _ d I £. . . =c _ . £ Gd . N I. c _ N. = "@. . £ Gd . . 7aVf _ dgj o _ d{vqX*}i{fhTvhX´dgbci{acj o X o nqX,¨acX,jVs,X,n«#S
(185) TVX,vhXX°tV^`nqfhn5fʲ#iliknq^`fh^`{XvhX´dgbcjacW(}X,vqn Y nqacs~TfhTdgfF] ¦. _ £. . 4 W 6 _ £ n . ;?i²¥BµX^ejVd{j p©dgs,s,aVW(acbedgfm^`ikjµlik^`j fi{5fmTcXY}ikacj W'd' ^ejcU ]. B. W. Y . Y. F. . U H [c d. o X o vqX´d{bwnqX,¨acXjcs,X I. Q. _ £ . . ¥¬²#X o X,vq^`{X p. _] ^`jcs,XfmTc^`nTcikb o n
(186) ¢ikvd{j p+gd{b`acXi{ r¥VfmTcXvqX´d{b¬nqX,¨acXjcs,XA _ £ Tcd{n
(187) ikjcb±pJYd{n*d{j9d{s,sacW(aVb§dgfh^ei{j li{^ej f´¥òdgj o ^`n
(188) fmTacns,i{j{X,vqkX,j fPfhiJV¥c²Tc^`s~Tlcvqi{X,n _ fmiYnqfhvhikjc{b`p®sikj kXvhkXfmi ^`jA 4 cM6Vd« d »¬_» e_» e ·» · ]¤¦2X f cS _ _ d7XdnhX¨acX,jcsX\i{n4ck6Vd 3 = nqacs~TfhTdgfF] _ £^ l ^ej 4 ck6Vdp _ £^ J^`A j 3= Q ¦2Xf l _ d{j o X?fmTcXnqikbea_fm^`ikjcni{ fmTcX = ¦ ¤u @7lcvhikVbeXW'n
(189) vqX,bedgfmX l o fmifmTcXPld{^`vhn cS _ _ d d{j o c d« TvhikW b`X,WYW'd _¥²7X o X,vh^±kX fhTdgf _ £^ ^ej 4 ck6Vd°¥(d{j o _ ^enCTVX,jcsX i{acj o X o «.]_^`jcs,X o _ 6> § _ N ¥ ²#XªkXffmTd f _ ^`n}ikacj o X o P _ W _ d{j « ¨ 4 }X,^`jc d ¾*^eb`Xvqf â¢×/Ü2⢿.
(190) nhldgs,X{¥}fmTcXvhX\X°t_^enyfmn;nqikWYXh ¨ 4 ¥Gdgj o d'nhaccnqX,¨acXjcs,XYi{fc _ d¥}nqfh^eb`b o X,jcigfmX o p[c _ d¥}nhacs~TCfhTdgf ikjF6£d{j o ¥V plVvhikl}iknh^±fm^`ikjC{¥ h N _ h ²7X,d 'b`p^`j ¨ 4 «¤¦2X,WYW'dYfmTacn7^eWYlcb`^eXn7fmTcdgf h N ikjfhTcX²Tcikb`X 2« S
(191) TVXPnhaVcnhX¨raVX,jcsX _ fmTVX,j²#X´dM'rb±ps,ikj kXvhkXn7fmi ^`j:¨84,¥²Tc^`s~T o irX,n5jci{f o X,l}X,j o ikjfhTcX\s~TciknqX,j©nhaVcnhX¨raVX,jcsX{« ¾?X,jVs,X{¥ _ ²7X,d 'b`ps,ikj {X,vh{X,nfmi ^`jV¨84«;S
(192) Tc^`n;X,nyf~d{cb`^`nhTcXnfhTcX(³vqnqf ld{vyf?ig/fhTcX,ikvqX,W %_« Xjci²As,bed{^eW fmTdgf,¥c^±} J(> ^ ' ikv
(193) ^±# cS` d = d{sfmad{b`b±p®WYX´d{jc^`jc~ cS` d# 4 ck6Vd 3 = \ 2 @¥fmTcXj > _ N ^`8 j ¨ 4 « ½ j o X,X o ¥Gdgs,s,i{v o ^`jcfhib`X,WYW'd®Yd{j o fhTcX l d{bevqX´d o plVvhilkX o ³vhnyfPlcd{vqf. _ 6 § i{fmTcX®lVvhX,nqX,j fYl fmTcXikvhXW¥5²#X®nhTdgbeb }X o ikjVX®p lcvhir^`jcªfmTdglf _ 6 § _ N «S/iCfhTc^en X,j o ¥Gb`Xf c d
(194) X d{j p9s,ikj {X,vh{X,j fnhaVcnhX¨raVX,jcsX'ig _ ¥}d{j o beXf 5}HPJ'X ^`fhn?b`^`W'^±f´f« ¦7a_f´¥ ²TcX,jVXkX¥v > ^ ' ¥GikXv c dq ¥fhTcX\s,i{jcnqfhvmd{^`j fi{wfmTVX\vhXb§dgfhX o = ¦ ¤u @*lcvhikVbeXW ^`n;nmdgfhacvmd fmX o d{j o ²7XfmTacnkXf ] l l . . Ny . > 6>§ . W. l. . 6§ l . 5 W N V. N. . ½ f
(195) ¢ikb`bei²n fmTcdgf5N N ¥V²TV^es~T9WYX´d{jcn fhTcXnhX¨acX,jcsX:cF _ d#Tcd{nd\nh^`jckb`Xd{s,sacW(aVb§d ) fm^`ikj9lik^`j f´« ½ jd oco ^±fm^`ikjfmiY}X,^`jc}ikacj o X o ¥cfhTc^`n*W'd'gX,n?^`fsikj kX,vqkX,j f;d{j o lcvhi{X,n?fhTcXs,bed{^`W9« T^`jd{b`b`p{¥#b`Xf'acnlcvqikXfmTdgf,¥¤^` cS` di 2 ¥#d{j o _ f § _ N ^`j ¨ 4 ¥¤fmTcXj fhTcX,vqX®Xt_^`nqfmn'nhi{W'X ^ej fhX,kl Xlv £nhaVs~TfmTd f F U H _ _ « ½ j o XX o ¥}^±j c d 2 ¥cfmTVX,j N ¬¥òd{j o WYikvhXikX,v 3 «¦2Xh f cS d*}X(nhi{W'X(nhaccnqX,¨acXjcs,XYi{1 c _ d¥nhacs~TCfhTdgf > « ½ jCnhaVs~T©ds´d{nqX{¥ N « ¦#aVf > N ¥nqi'fhTdgf
(196) ²#X {Xf ] 6§. 6§ . l. l. . ²Tc^`s~Ts´dgjcjci{f*Tcikb o ¥}X,s,d{acnhX nqfmvqikjckb±p®sikj kX,vqkX,n*fmi ^`j 4 c 9pd« ½ jµi{v o Xvfhi9d{s~Tc^`XkXs,ikj {X,vh{X,jcsXi{5fmTcXYvqX,s,i{jcnqfhvhacsfm^`ikj nqs~TcX,WYX{¥/s,ikj fh^ejac^±fÊpX,jcnqacvhX o pCfmTVX,ikvqX,W %9^`nTd{v o b`p©nqaV's,^`X,j f´«uwvhir^ o X o fhTcXdgd{^`bed{cb`X o d f~d9d{vhXYnhWYiri{fmTµX,jci{ackT¬¥Tc^`kTcX,vikv o X,vnhs~TVX,WYX,n¥ Tcikb o ^`jcªXfhfhX,v\sikj fm^`jraV^`fÊp lVvhikl}X,vyfm^`X,n,¥ws,d{j }X²7i{v '{X o ikaVf\^`j dnq^eWY^`b§d{v ² d´pk«©SiCfmTc^`n\Xj o q¥ _ka 4 X^ejV'fhTcX¾Pd{v o p ) ]_ik}ikb`X®nqld{sX i{ C d{n o X³jcX o ^`jnqX,sfh^ei{jC_«`k¥b`Xf _ XfhTcXWdglclc^`jc9 ] o X³cjcX o p ]. . _. _a 4 ck6Vd 3. . _ cS` d B _E N. = .£U. . _ka 4. . = @ ¥ ¢ikv¤nhikWYX³Vt_X o H l 6 = d{b`bcfmTcX o Xvh^±gdgfm^±kXn d{vqXfmd'{Xj²^±fmT'vhX,nqlXsf#fmifmTcX?d{vqs,b`X,jc{fhT vikjr,@°« ;*i{fmX fmTd f l N #«]rikb`r^`jcfhTcX\nhi ) s´dgbeb`X o = ¦ ¤u @ _ lVvhikcb`X,WfmTacndgW'i{acj fmnPfhi o ^ -GXvhXjfh^§d fmXXUµfh^eWYXn;fmTcX k^±kX,j o dgf~dV¥ònqikb`{X(fmTVX = ¦ ¤u @lcvhi{cbeXW ¢ikv*fhTcXnhi+ik_f~d{^`jcX o Un£fmT o Xvh^±gdgfm^±kX²^`fhTCi{acj o ¥¬d{j o fmTcXjµ^`j fmXkvmdgfhXXU fm^`WYX,nfmikXf _ cS` d;dgnd®¢aVjcsfh^eikj©i{ _ka 4 « +PnX°t_lXsfmX o ¥s,ikj fm^`jac^±fÊp©ikjªfmTcX o X,vq^`gdgfh^`{X,n¥aclfmifhTcX Un£fmT9ikjcX{¥^`n d{^`jcX o fmTV^en
(197) ²7dp©« _ DB CFE Sc `. . jc mB _E . d dN(mBDCFE%cIH l d MJhWi;:WKUI£Z\. ·» · n _a 4 ck6Vd 3 = .
(198) ],
(199) #
(200) # aS S 9 _
(201) YS $ L(
(202) #M [S TS D$
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(204) # E(bS (
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(208) #M [S TS $
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(212) »¬_» e S
(213) TcX,i{vhX,WZ^en?dnyfmvmdg^ekT fq¢ikvq²7d{v o s,ikjcnqX,¨acXjcs,Xi{/fmTcXikvhXW %d{j o fmTcX o X³jc^±fm^`ikjCi{ ¥ò p acnh^`jc'fmTcXs,ikWYldgsfmjVX,nhn?i{fmTcX^eW X oco ^`jcig _ka 4 cr}dP^`j fmi _72MQ a 4 c r}d*¢ikv6U H \/±_¥fhTcW ½ _ «`M1Ä« d. . ( !&+ " " / 1 '&
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(216) WYXfhTci o fmTd f7l}X,vqW'^±fmn fmTcX|ikc^`jsi_X's,^`X,j fPvqX,si{X,vypk« +PnqnhacWYX fhTdgf²#X(d{vqXk^`{X,jnhikWYXjcikjcjcX dgfh^`{H X >art @Cnhacs~TfhTdg1f @?@ > Jdgj o b`Xpf eªXfhTcXW'X,d{nhaVvhX ) WYX,j fmn;l}X,vy¢ikvhWYX o ikj 6 xu9« TcX8j 2 N8C*¥ fmTcX nhacss,Xnhnh^±kXnyfmXlcnPi{wd'vqX,s,i{jcnqfhvhacsfm^`ikjªd{b`kikvq^`fhTcW ¢ikv D ik5j 4d{vhXfmTcX¢ikb`bei²^`jcc« ½ 2 N > C*¥ d's,ikjV¢i{vhW'd{b2fmvhd{jcnq¢i{vhW'dgfm^`ikj^en?vhX,¨ac^`vhX o d{n?lcvhXbe^`WY^ejdgvqp d{j o ³jd{b2nyfmXlcn,« ½ j®fmTcXnhX¨acX,bö¥}²#XnhTdgbeb o Xnhs,vq^e}X d{j o nqfha o p®fmTVXWYXfmTci o ^`jfmTcXacjc^±f o ^`n 'C*« kR« I7ikWYlcaVfhX ¢vqikW fmTVX d´gd{^`b§dgcbeX o dgfmdYfhTcXvhXnqfmvq^esfm^`ikjfh]i 6$i{fhTcXd{jd{b±pfm^`s¢acjVsfm^`ik8j IN ACB I . . &. . @ptv . _«*]_ikb±kXfhTcX = ¦ ¤u@Plcvqikcb`X,W vqX,bedgfmX o fmi+fmTVX o dgf~d©ikj!6 ¥ d{j o d+nqac^`fmd{cb`Xs,ikjVnqfmvhd{^`jf J ikjAr \ 6 «¤S
(217) Tc^enk^±kXn ' N cS d ikj C %VR « I7ikWYlcaVfhX c½W ' dL = "@ D ' N£ |X ' ikjAr \ 6 S
(218) Tc^`nlcvqi_sX,nqn'^`nYXt_l}X,sfhX o fmi©X,j o acl ²^±fmT fmTcXd{sfmadgb nhikb`aVfh^eikj fmi©lcvqikcb`X,W = u¤| @°¥ lcvhir^ o X o fmTcX s,ikjVnqfmvhd{^`jf ^`n lcvqikl}X,vhb±p's~TciknqX,j¬« ½ jfmTcdgf
(219) s´dgnhX{¥_Xt_lcvqX,nhnq^ei{j = "@5W'd 'gX,n
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