Modélisation de la propagation d'ondes dans les milieux viscoélastiques linéaires : I. Analyse mathématique
Texte intégral
(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. Modélisation de la propagation d’ondes dans les milieux viscoélastiques linéaires I. Analyse mathématique Eliane Bécache — Abdelaâziz Ezziani — Patrick Joly. N° 4785 Mars 2003. ISSN 0249-6399. ISRN INRIA/RR--4785--FR. THÈME 4. apport de recherche.
(3)
(4)
(5)
(6)
(7)
(8) !" #
(9) %$
(10)
(11) &('*)
(12) +,
(13) - .
(14) /0& %
(15)
(16) 132546 -87 9$ :;$
(17) /0& <=?>A@CBED5FHGJIK@LINMEDPO3QRTSEDJ=A@VULWJ>?W5<WJWX>A@CBE>OZY[@C\^]^>_IN`baLcV=_de fhgjilk0mn- o*mypKqrxkti k0sjuwmlvNxyq{ z}z}|k0m
(18) ~jx;u{zJm
(19) ~mlxyq{ k0q{vNxqrzJ| Zzm x| ml ;v}~j~CzJ"x mml gm gjm|LnNJ-ov}Jo}t~vJml § q{K
(20) ^zK ¤l¡Pu{vJPxq{¢¨Xsj£;m^zJ s©.ª,mt|jzJ~jsm k0qr|Xq{xm ¤ [mlv}"~jzJ~L|z}yx¥mluw"vxkH
(21) z}z |C y¤lvJurqw
(22) vN¤-xyq{¥(z}| uwv ~m0y¤^uwv"ml~|JyxzJvN~xqrvzJX| vNxy.q{¦z}s| |jm.¦
(23) zJuw| v}"m^m mtv|k0 z mli u{mlk0[qrJu{q¤ m |js¤ « ¤ v}u{q svu{v}|Xyx-qrxyu{¤ m k0mlz yz}iluru{msx qrzJm| ¬L° m |j ml¤^t
(24) m z}x0qwy¥!v|Cyz}
(25) |Pm v}mH|vu ¦u{¤ |j"mlmyJk0qrmJv°.xygj~j¤lykzJ~vNvxyXqw¨XvNsjxqrm®zJ|®3¥ ¤ly§ sjqrxyurxm^vyxymH.±|j¦ m q{m}q{©³"xy²;ml||
(26) mmlm
(27) sx qr.ilk0¦ s|jmHq{ q¯vx~j¤}« ° ~L¤ u{z}¤ yk0xhmly|Jm x¶v-± |jz}|qwv}k0 q¯yK¤[xml¥-luw© v-~y¤^"ml|JxvNxqrzJ|(m
(28) x;¥tu ¦ v|v}urym´|Ksjk0¤ qw¨Jsm .¦ sj|jmk0¤
(29) xgjz m .¦ v}~j~jzµqrkvNxqrzJ|(~v} ~j·¹z}¸C~ºlv} J»¼Jv½¾xyKq{z}!|¢À¥ ¿´§ qrqwxyml"q{y~mvNx±Cqr|jzJqr| mJ© ³¦ ¤l|jm }q{m}°Vk0z i u{m m¬Lm |m ^°³v|v}urym mÁz}sjqrmll°.zJ| m^ § qw
(30) zK¤ uwv}"xyqw¨Xsjmll°. ¶ÃÅÄƳÃÈÇ,ɵÊË8Ì;ÍÎÐϵÑEÒµÑEÓCË8ÔÐÕµÖÑ"ÍÕXÉ×Ø ÙØÐÚ"Û8ÜÝÞ^Ú"Ü8ßhàKÑTáVâµÑã?ϵÍ"ä[áVÑ"Ò^Ñå}ÉæNç_ÍϵÖÑ Unité de recherche INRIA Rocquencourt Domaine de Voluceau, Rocquencourt, BP 105, 78153 Le Chesnay Cedex (France) Téléphone : +33 1 39 63 55 11 — Télécopie : +33 1 39 63 53 30.
(31)
(32)
(33) ;) #E -
(34) -
(35)
(36)
(37) )
(38) +, . + $
(39) 1325 :;$
(40) +, -! -
(41) 70
(42) xyzm ~L qrz}xl;yºxh k0 jqw ¼vºJxy gj¢
(43) m ml § kz}m;xyvNm xyv} qwy mhxv}z0u³q{|Xvxyxygj|m mv}mlur~"xyyym q{m^ "ml3qr|J|0m xvNxgjq{x"qrmxyzJml|k0|
(44) zz m m ¾vv}u{| qrkH|j -q{usz|j zq{¨X¶ sjv k0ml§ |jzm,ml ~jm uwz}~CmlvysjJgjvurqwxl xyg°q{z}}|tm }mlqr|js| m u{v}§ yvqwqryu{xq lzXm[mlz u{xy vJgjxymHgjxq{m¬V ¶m yk0|jz}mmlu{s x¦q{hqrvzJ©k0|fh z °gj mlqwm |jEum ±v}|}" x ~j m^ml yvµm |Xxyvm^xy"q{sz}u¯|x^°v¶| v § |Km(sj~jk0z}m ~q{v} lJvu.vxyvq{|Cz}v| u{KvNyxqwhv®z ±|jv}|qrxym v}~j§ ~jm u{zzµ
(45) qrqrxk}© vNxqrzJ|"m^k0
(46) zJm
(47) x| gj z m ~Lv}z}yymx z}q{|urk0Lm q¯m m § ±z}|xym q¯x mxym z u{m k0xyz m |Xxygxl©m V"» !-#¸ $J&
(48) zKmlu{vJxq{' hv § ¢ mll°j%Z¬L|m m |j}ml ¦ h k0qwyyz q{ ~m vNu?x© qrzJ|³°Z±|q¯xm § m u{z
(49) qrx ~jyzJ~vXvNxqrzJ|³°ZÁjzJsjyq{m v}|vu{"qw °Tymlu{vvxyq{z}|³° § qw"«.
(50)
(51) !" $#&%'(#) * +-, . 0/
(52) 21(3" 4 24. .
(53) $ 8hE Vº µ¸ ¼º ¾¸ < ©©ÐN K V ºyyqrqrjxyxyº sjsj¾¸ mmyyz}z}ssK Å ÅzJzJ¡ yyk0k0¸ $Bmm AKqr |X½ q"KxGL¤ ¤l}ymlv|Ju{xm qrmlur{©m*©©©©©©©©©©©©©©[©[©©©©©©©©©©©©©©©©©©©©©©©[©[©©©©©©©©©©©©©©©©©© Cn ©© n ³[m¤ |k0¤ z v u{ilq urmvNx qrzJmt| ¬L mls|jm k0z© ©i u{©m ©[ mt©©¬Lml©|j©m ©©©©©©©©©©©©[©[©©©©©©©©©©©©©©©©©©©©©©©[©[©©©©©©©©©©©©©©©©©© J ©©Ð j½ Z%3³ z 5qwjx¡u{m i |k0j º mmk0m
(54) Xx;¡ z sj |ji ºqwu{
(55) m;qrN.xy ¤© ©m©"©zJur©[sx©qrzJ©|© © Åz}©yxy©m^ ©©©©©©©©[©[©©©©©©©©©©©©©©©©©©©©©©©[©[©©©©©©©©©©©©©©©©©© OP ©© n%3¤^"qwsjxurm x|v xmm
(56) x;m[sj¤ |jJqw
(57) sjqruwxyv¤ q¯ xm¤ "©zJur©[sx©qrzJ©|© © ¾v©q j©u{ml©,©©©©©©©[©[©©©©©©©©©©©©©©©©©©©©©©©[©[©©©©©©©©©©©©©©©©©© DD n ©Ð© J Z¿¤lz}
(58) ~z}v}qwJvyv}xyq{|z}
(59) |m ¥ .¦§ ¤ qr|jxymlmlyyJmqrm ±C|j©qrm ©[©©©©©©©©©©©©©©©©©©©©©[©[©©©©©©©©©©©©©©©©©©©©©©©[©[©©©©©©©©©©©©©©©©©© DD J <RQºl $K $K0+ jj©©ÐD ;;|C|Cvvu{u{KKyymm¡ ~~vv;_½ ; KzJzJB || STm^m^hhM¸L~j~j¡u{u{v}v}|j|j&¸ mlmlUVhhA@mlml: ||5X}D ¿¿ ©©©©©©©©©©©©©©©[©[©©©©©©©©©©©©©©©©©©©©©©©[©[©©©©©©©©©©©©©©©©©© L-J}= CIWY nn©©ÐD X-%Tª,;¾^"z}¼}xy| q{¸³k§ Km vN½ xy}q{ m z}3º|C|C;
(60) N.;m[ vHm
(61) [x~jZ!ymlq{"z}xy]½ q{\{kKq ½ vN j©xylq{º z}©;| N.©[ ©m©u ¦©¤^ ©v}"©x6©©©©©©©©©©[©[©©©©©©©©©©©©©©©©©©©©©©©[©[©©©©©©©©©©©©©©©©©© LVJ ^P 1V-&+T
(62) - uxy{mq{z}k0|Eq{¥-urz}q{sjm ss,|(k0"xysmlz q¯k0xh ¤ ~sju{|jq ym[m ¶z}urzJ|ju{qv-| ¤[~jm[¥tz} ~u{z}vtk0v}J
(63) ~LzJvNz}x|JqryxzJxy|m v}k0qr.|Xml¦xzJ|Jm|x¶v ¤ sm^uwv} k" xy_ qwv}k0¨X|sjmm}°q{|ml¨X",sjxk0qVv}|Jyqrmlx^u{qrur©mlq{m}ª,s°X(mlm ¶|"zJk0 urqqrgu{qrvJm^ml¨J ss°X(m´qruLz}~Lml|X"z}xhx¶q{|Ju{ v-x z}~jsj sz}vkH~j|Xxq{qru ¤ qrmlxym[¤s³y° sju{m[~jv ~L z}zJ¤ |y Åm zJy¶m yk¨J§ svmlm« uª,¦ ¤lm |j~Lm m | } q{m,v|Xm x3xl°.urm^~L3z}"smlsju{
(64) m ¾yvJxv} 8xqr|Cm sjk vxym ¤ qwqrvk0sq{ |Ks xyqrq{xz}| ¥ mk0u ¤ ¦ v}k0kHzJ~qrurm}q xy°.s q{u3m ml" xmlEqrk0z}|~Lz}mlyxvml|X"x x3u{ v m0 ~jq §m ml|yJ m y|mH m mT| J¤
(65) z}zJk0kH¤ ~jxyxym q{¨X sjmlmJ © m
(66) GVzJk0m
(67) x~C zJa"` xm ´k0vm sj|X x § ¤qw Åyz} zXk0¤lu{vvJxyq{xz}q{¨X|sj mJ ©Kq ª,GV¤ m^Z¤ k0m^ qr°Cu{q
(68) m m-s(¨Xsjyqz}|Xmlx¶"x;v y¤^"vzJu{" q Cy¤v|Xm x|l© ybsju{~j¶~LyzJz}|XvxT|Xu{x´m¨Xyqrsjilm}m u{m k0mqr~ju{qrgjml¤ls®|jz}ysjk0q¯xi |sjml|j m u{m z}q qw m« y qrm~vu ¦xyv}q{k0z}|(~jq{ur|Xq xyxys qr|Cm "i^ ¨Jmlshm´zJ|¨Xsj qCm^~yvz s§ zK
(69) z}¨Xssjml|XxT msj|ju{m m s ¤l~j yyzJzJq{~vyXv}|vNx
(70) qrm zJ|³ m© u ¦ ¤l|jm }q{m;m x,sj|jmvNxyxy¤l|XsCvNxyq{z}|m ~CzJ|jm |Xxyq{m u{ m m u{ mlhb u¶z} |Xx;v k0 zmxq |j§ zJ¤k |jjzJ¶m xsC"v m^§ -vsjv~~j"ursjqw vu xy¦ q{vz}||v}tur¥5ym´u ¦ xsvx|Xqru{x;qwykvxyvNq{z}xyg| ¤ k mvNxk0q{¨Xz sj mi u{¨Xmlsj m |Km sj§k0qwy¤ zXq{¨X¤lsju{vJm x q{m q¯x ¤}ml©¿´k0mlz s i u{.mll¦ ml |Xxym c yHq{v| ~d¾y zJ¦ ~m^vxXvNmlxy| q{z}2m | GLm ³x¦ zJ~C| zJ sjmlurm^gv}sgxyvm^sj xyml Å' ¤l ŨXsj¤lml¨X|sj
(71) mlm^|
(72) m^ v¨X|s ¦ q{u{u ml m ~jqrm mlk0|Jxqrilm^yym^ym |X xyz}q{m su g mlmH ~ ym!ml| y ¤ mHqrk0ml|!m |X xz}k0k~xvm « uru m^¦ bÁE~jgj%T¤l|jz}%Tk0 i |~Lmlz} s³ ¦ v mlh"zJ~jy~jzxyq{z}urilV| kHe
(73) ©m^ª,m
(74) xymxymyq{yv}k0~j~jq{¨Xu{qsj lmvNxyyq{z}z}s| "«?vk¤ v}xyy¤(§q{|jk0m}© zxq § ¤ m(~Cvsj|m
(75) zJurwv Lz}vNxqrzJ|!v § ml vdH|vECu{mlzJEvxxyq{z}yq{sm3.zJ¦ b ykm sv.}©Jmlª,yq{m
(76) m¶xyExym´v}v}v}~jk0~ju{¤
(77) q xy lvNqwx¨JqrszJ3m|He ¨J¦ q{s|q
(78) ¤ q¯§ x m u{z}v~j|~LEm,u{m´s|j vm k0m ¤
(79) xy³g¦ sjz | mm c H
(80) z}v[u{w~jv Lz}z}~v}vNJxyq{vNz}x|tqrzJv | .ml T¦ z}ur| fm Hgmlb Y § mqrml
(81) qwxyvmlJkH|jzJml|X"xyxqw z}~Cvy[¤lur¤lsjm[u¯x¥HvJu "¦ zJv|x"x ¤ |K smtvNu x¦ zJqrzJ"| xy¤ zJml~ChzJyz}zX| " mmlm hx[sjq{uru3xy"v}mlyk z}j|u{z}m0ml¨Jls© m-uwv~j¤lym |C
(82) m ³¦ zXx¤ z}~Lz}zJymyz}qrx
(83) uwilv}urm^ª,y;m m(
(84) zJ |vm "~jq k0~L z}¤lz yy x¤^i h~ju{mlm
(85) x´¤ly¥0 m m|Xu{m xy§sjmq{;uwv5
(86) v}zK|~j¤ vuwu{v}m "k0"xymqwq{
(87) i kqrxym¤JvN©hx~gjbv¤ u[ykxym^q{mvNxxq{¨Xmlm^sjymJm x©|X¿[vxyq{§ vm v|u{rsjml k0s¨Xm ||Xsj"xm(m^
(88) |jz}z}zJ| |s -v} v vy§ ~j¤!z}~L|¥ z}yuwxlk0vP°m |~|z}y¤ls¤^-"mly~|Jsjyxt¤^vN"xu ml¦qr¤
(89) zJ|Jx|xs m z}m m^|³¶¦ k0sjsj||z}mm « |Kv~sj~jk0y¤ zµq{q{¨XksjmJvN©xyq{z}| mxymlu{(kHz ilurm^~v}sj|jmk0¤
(90) xgjz m .¦ ¤ u{¤ k0m |Xx0±|jqwk0q¯Kxml(m x(m | Åm z}|C0u ¦ v|v}urym 5 76 9: $ 3; &: =?> @: ; &: $ D DFE D E D IH D K L : M D . ÆÆ Ïiaj ÝÞ8Ü.
(91) n. . 1( 1
(92) a. gmhv}x~jH³Kq¯m¶~Lxym~jm0 m (q"k0GLm^¤lq{m yxml3|Ju{ mHxgqrmlv u{g~Tv}q¯x¨J~jysqrm,xyqC~jvmHy~¤^ ~"m mlv|X|Xxyvxym¶qwvyuruym^m |Xm0k0x3
(93)
(94) z mHzJ kHilv}urk0m^~j3m ~C¨JzJ s"m^qx[3 Åm
(95) ml}xy¤lzJ|j
(96) |X¤ zJx|vu
(97) ¦u{zmlqwyyv|xym
(98) m-q{xz}u |¦ v}m¶|||jvvz}u{xyxysj"mtm¶m v}k0u{r|m^vv xyu{gj ¤l"smJkk0©vNb zujxyqw ¨X¦i v}sju{}m0m qrx
(99) z}m[ k0m,¬V~jk0m |ju{i
(100) z mlx lm i ©u{H mlmm k~j
(101) m^u{svNExk0gjy¤ z ~Ck ¤^i
(102) vNu{qrxml±Cq{l¨X¨X© sjsjH³mm m^k0E Pm kH |Xx;z v u{m|ilurkHm^sjz | m il lur§ vm qw y mmHzX¤l¬VvJu{yvJm y|jmxml0q{ q¯J}x¤ ¤,¤ |j|u{¤lq¤ |jv}¤lvu_v}u{© q qryH³¤´mlm^Em x;zJy|J~C¤^x ml"ss ¤"u¯§ x"mlvN¥|Jxxf¤
(103) x_ ¨X¤xysju{v}m0m[yzJ|jm zJk0xysmlm |K|Xs~jxEh¤l¤
(104) ~yxym vs |X xyqru{zJ¤^m | j[ qws0vq{ qwqT~Lz}
(105) q{zJm|J|x u{
(106) vtmlymx|gj§ m ¤ s|Xz}mx« qr¤lm ysj u¯xm^vNxy,m ~k0ursq¯«Ah}Jz}¤ s|j~C¤lm^v} s© .b uw©J3|jv}m(;yvm q{kur{m jsjurml,|Xxurm^~¶v}xygj¤l~Lz}z}si k0§ z}mlq{h7 y_
(107) sjxhym(u{v z} |qwyyyq q{~¤ vNx¤lqrzJ| z}.k0¦ ¤ k0|jmlm yJ qrmlm[m
(108) lxv}uwvH~C~jvyyzJxy~qw
(109) vsjXu{vNqrmlxqrzJ |( ¥m §~jq¯x¤ ml~v}"m;yml±|ju q{¦ m´v|"mlv}kurjymtu{m |K|XxTsjk0zJy¤ q{}qwq{¨J|sv}m0s.¨X©sj%Zm0||j±zJ|s°J[u ¦ k0q{|Xi xy|j¤l'ml_ yx zJ| m´ m
(110) vx"|Cxmv}Ð |Tv¨Xu{sj"qZmh ml¦ v"x¶~j~jv}ssqrml"qgvd¾m
(111) u{x¶v}y~CJmlm sk0x"«m _
(112) |Xxxym´"sysjyurxym^zJ´sxx(mle gm« |ju ¦ qwv}¨X|sjvmlu{" m ¤ § m mu{z}uwv~j~L~j¤ m^z} ~ v}vJ|Cvxy-q{z}
(113) |m .g¦ z}v| ~j qrxym^m}© ~j;uwvsP|ml gv}~jv|qrxy m( m^j-°|k0z}q{surq{-m s v}~jgj~CzJmlk0urzJz}|} il|j mlm^l©£´¤lyz}sjsurx-vNk0xm
(114) x"
(115) xuwv}z}|yHq{¨Xu sj¦ vJm^ m "s|Xx k0y¤lsj¤ y;sjq{u{u¯¨XmlxvNsjxm^~j;;g|j~j¤ zJ|js¤lzJy´kHm y|Xilm x|j¤lmlz} |X x´ vm ml||5qw~" ~Lvym xykqw"
(116) q{v}sjz}q{u{|q m vm
(117) ´sx;sjuw"xyv qq{urm^~L´¤lz}~Csj~Lmlz}| sjqr |Xvxy|Cuml¦ y
(118) v~m|Cyv¤ u{xymKm yu m ¦ vN|jx"zJxmt¤ |Kxs¤lv vyjsjxyq{q{u¯urz}xq xyvN| ¤tx§;~qw|K;vsj[¥ k0Áj§ ¤ zJqwsj q{y¨X q{sjm mm^ uw v ©Lml¿ Å[y¤^v}y¨J| sgm ¤ sj|k| v}m} ©Cz}ª,|Ksjsmlyx« ~L mlm ys|jx q{m _ ;xy mgC
(119) vz}~j|Cqrxy"q m} °j¤ |¤z}s
(120) z} k0 k0¤lk0mz}u{|XvHxyu{qrz}k0|qrhxym k³v¦xysjgj|¤lk0k0vq{xyurq{qwm ¨Xs sjm § k0q{m
(121) |Xz}x;«?¤lmlu{vJ|x¨Xq{sj¨Xmlsjum[y¨Xm s|v| s |u k0¦ v q{uryq{m z}s5~~xysjq{z}y|mlk0xym m | |X x;¤ § uwm v}"hxyqwj¨X© sjm 8
(122) E t
(123) %$[ . !#"%$'&)(*")+,.-/(0,21
(124) - "%34+$657&98;: ")<=>+ 4 D . ? qw yyH³q{~m^vNTxk0qrzJz| ³il¦ursjm^| kHm q{u§ qrmlq{s³
(125) ©JzK¿[¤lu{vvJ|xTq{¨Xsjsj|0mxyurmlq{u|jk0¤lv}z qr m i u{m}°X ".qC~Cz}|(mly k0z}m
(126) |xyyxyq ml |Ji x m urm[m~jxm m || ym sm´ ml |ml z}k0¤ ÅzJ~yxykmvurm[xyq{~jz}gj|¤lZ|j¥z}k0u ¦ qril||j"xm v}|Xmx A @ABDCFEHGIKLJ CDM ENBQ MNO P d ESC O;T ? G OVU!WYX b [Z. M )E B A G MRO L e T\ I J]T 6T ^ n _ A`B]C O;T ? G Iba2c A`Bihkj6C ?mlon G M @phkj'n C G q n dHegf M. dDe. v}_ y¥ zK@ qr¤hÐK¥° sjD J|H° D gCv³k0m^~ x m ¤ ~juwv} m k0m |Xx
(127) °µu{vymlu{vxyq{z}|turqwv|Xx3u{v[
(128) zJ|Xxyvq{|Jxm d_ e zD§ vr |Xfxym^³ml "xs| xm |ym s .¦ zJ ym0¨XsvNxymJ°³v~j~Lm u{¤Hxym |C"mlsj m K½ aS º3;¾¸&:T°¨Jsq § ¤ qr±m0urm^"Kk0¤
(129) xyq{mlysjq¯« d¾ e A`Bihkj;I B6AhkjSI hkjAB]s Hv ÅzJyktsju{m d_ e.m
(130) ~jqrk0mZ¨XsjmZu ¦ ¤ xvx mZuwv;f
(131) zJ|Jxv}qr|Xf xmE¥hu ¦ qr|"f xv}|Xx³x ¤l~Cml| mZu ¦ gq{"xyzJqrm ml ¤ ÅzJykvNxqrzJ|l° u{¤l m ¨X¦ mlsj Å"sqx§ xy~Cvsu{zJ m sj|X xym¨Jm^s u{z}v .qL¦ m
(132) z}¤| Å~jzJ¨JyqrsCkk0vvNmlu{q¯Tx±qruwmzJv|
(133) ym^mldŶ~u{vkHv}xy q{z z}@9 | Ciln urd_m^G e8~C©X zJEmsjv}k0 Zzm
(134) nw mlvxi kHu{ml?h~e8ur¥-© mJ°}b k0uTsj¤l|jm kHmq{zJ""xyq{qrk0mJm}° ~j© ur¿m´v}m|qr|X~jxyur¤luwsCv5} u{vNq¯_ xyxxyCqr?zJ¤ G |HvN| ~Cx¦ sjmlv"Zxm}~°~v}~v}"urx¶sqrm^q{y|uq{Zm t
(135) sjsjzJml| | ¾
(136) sj]v ¤qry
(137) x¶~z}|C¥;v} n dÅ@n e _ A`B C O;T ? G I A`Bihkj C{z9G|@ hkj C ? G P a2c @ h~j C ?mlon G M f A`Bih~n j C G q n s £;H ¦zJm
(138) sT~jymlsj~jy~LqrzJzJ| ym d_z}e¶|C~C3ml~svx´Tvu{vu{z}ysjhqrxym´¦ m
(139) ¨X~jsjm´f q{kHxyzJmlsxym^
(140) Zz}k0u{mlk0T¨Xmssjv}||Xxy~jqr} xy¤lz T "sjzJqrx|Jx¶ mv
(141) sCz}y| v}§urm^z}M u{°}s xyq{¦ m^z}|x¶¥ D ° q{yD m;|K°sjnpu{A mlZ~Lz}s ? z © d_ e M @ ? Ib @ _ I fw M zDr I M f ? m^x;uwv ¤ q § ¤ mvsym | m^ qwxyq jsxqrzJ| m f d f ml"x q{
(142) zJ|Xxyq{|Xsm | z eTm x´v § m^ dJ e. M. C. @DG AB I ABihkj @ hkj s h j; . ÃÅÄƳÃÈÇ.
(143) .
(144) !" $#&%'(#) * +-, . 0/
(145) 21(3" 4 24. v§ | m^ ´~Lu{m ms xHgjyzJmlq¯k0v}¨Xsjml¨Xsjm d_e}¤l|j¤ vu{qw"m0uwvurzJIq QmC ´zGK z}C ?mTG ³urm v} s kvNx¤ q{v}s!¤lu{vJxq{¨Xsjmm^xtzxm |Ks zDr ml"xu{v ÅzJ| 8xqrzJ| m´mlv § yq m[m
(146) x u{mxyf m |C"mlsj O .¦ ¤ uwv}"xyqw
(147) qrxy¤}© ?²; }"|u{zJmlm q¯ x Åz} m¤ kHxyuwvm m k0v}¤ u¯qrx Å|z}m ¤ |kmvN~vNxxyvq §q{z}m |u ¦ gjm m[q{x "uwxy v0zJm´qruwm m v-uwvN
(148) xymzJq{z}|Xuw|vHxy vz}q{m|J|X
(149) xxymzJ|Xv q{xyv}|X|xyvmJq{ |J©jd?xª, m
(150) e«m ¨X¤ m;sj ÅzJq³xym ku{¦ r¤lm[v
(151) xykq{qrz}xv|(|jyz}~Lq{i sCm hsm´x u{¨Xv _
(152) sjxy Åm[z}mu{k0v zmZ x¤ m ÅzJ|Kysjkmvmlxy|q{z}q{|(| § ¥m u ¦qrv||X"x¶xv}u{|Xmlx n d? e @ AB C ? G/I a2c A`Bihkj C ?mlon G M _ h~j n C G q n M zDr
(153) m^x;u{m[xyml|"mlsj m E U# § ¤ qr±Cv|Xx dHe d¾ e ABihkj I B6Ahkj I A`B6jh s . !#"%$'&)(*")+,.-/(0,21
(154) - "%34+0$ 8H"%+;57&u$+;==+. § q{v}|
(155) H³¶z}m´«?ur¤lmxu{vJK ~Cv xm q{¨X.msj¦ m3¤l.¨Xm^¦ sjsx|jvNxm qrm¶zJyqr|u kt¦ ¤lsj yq{u{|Xvq{yxyxym,¤ q{z}J"|zJyz}s|X« ³s sj qkHGV|¤l¤ m y Åqwm ¨XzJ|Xysjxyk0m}q{m ©mu{²´ml |jq"hGVm'¤ ~j ¾vDm ¤ly
(156) |XyzJxym |q{|Xm xu{~jr¤ m¶u{mls,m h|t~j~j"¤lm vN x¤ q{v}¨XmlsjvkHm |Xk0x mymlsj|J~j x¶ ¤lmlmly"m x,|Xvxxy|ymli^v},Turu{zJu{m}z}q{s
(157) mlzJ .kHk0~L¥t¤^z} y¤lvxyy|mlz}q{k0s¨Xsjm |Xm^mx ¨XdÅk0sjq z ÅzJil|Xurm^xtq{|Jygxm ¤ z}§ u{z}mlJ|jq{qr¨X sj m^mlTt¤lv}ur¤lk0"mlm k |Xxjv}uwvqrJmlml( e mj°LyXm^y° yD z}Ky°xD n m Jx .¦ vk0z}yxyqw"mlsj v|-urm v}-k0z}|jz q{k0m |yqrzJ|j|jmlu dP e C G _ I C G|@ T zDr ml"x;u ¦ z}~L¤ vNxm sj "q GV¤ m |Xxyq{m uJ A A! M ? A T#"%$ U b £ T M ¹m x "zJ|Jx m^h~CzJurK&| Jk0ml "q GL¤lyml|Xxyq{m uw³ ' * d D e C GI ) ( ( C GI + ( ( s T ( } ( } K[v}sj|yhxyq{ur|-mm lxZv}pK- xy, m | I/Cml. y " DzJs z} |Xm^xEhkHgXzJK|X~Lxyzx¤Tgju il¦ ¤^yml¨Jsq § vu{m |C
(158) m¶m |XxymTu{mlm ~j¤lym |Xxvxyq{z}|qr|Xx¤ }vu{mTm x q GV¤ m |Xxyq{m u{ m 0 21T¸Cº M AK =43= ) '6IY 5 z 0 21T¸Cº M AK =43
(159) L + ' IYz7 + ( IYz , "%8 IYz T:9:9;9 T 0 21T¸Cº M AK =43 < d DD e. ' ( ( ) ( M ? ( d d Z Z _ Cz.G I + ( M ? ( d d Z Z 9@ Cz.G "N\ I JDT;9:9:9 T . ( Z M ( Z M . '. wupKvtq.
(160) m m^uwTvNxgKqrKzJ~L| zd?xyge
(161) il© yml¶"zJ|Jx § ¤lyqr±¤ m^ °JqruVm Kqw"xym´s|jm ÅzJ| 8xqrzJ| m[ymlu{vjvNxyq{z}| f xm u{rm¨Xsjm _ m
(162) x @ "zJ|Jx¶urq{¤l,~v} TK¡ GF N.H 43 # #=43== 2<& !- 4?, a>. 1 #)7 %4 f 2/ % _ 22 @', 9 2 #Vh & @4 hB#A C%!CED7AIJ 4Da%f2f" g, 1 a&%' #) )%4 , L 4K
(163) 4 4 B.(1 2 (" 2 %' ANMOD 2 2
(164) P> Sh ##& 2 V %' Q>%4 SRB #& 1( T CUG I a e d2X C ? G ? q }WV c. ÆÆ Ïiaj ÝÞ8Ü. f.
(165) J. 1( 1
(166) a. . K[ 2K %'2" ANM:D 2 AIOD Hh 2 4 2K %'2" 4a / V dD e _ T CNUGIU T CUG @9T CNUG f 2. . . d D e. ' T CUG _ T CNUG l ) ( U ( ( ; T CNUG @9T CUG. d _ C{z.G U ( d M _ ? Cz.G P P :9 9;9 P M * + ( U ( d @9C{9z G U ( d M l P ( ; M. 4 K %'2" $ h1 # "4 7 4 / %4
(167) f CUG CUG I Q dD e U CNUG f 2 4 f#& @ 0 . ( d _ d {C z9G [I. M ( M @ Cz.G ?. ( d @ M P :9 9;9 P M ( d C{z.G s. n. '. ) ( U ( d _ C{z9G P U ( d M _ ? C{z9G P 9;9:9 P dD e ( ; M * + U ( d @9C{z.G U ( d M ( P ( ; M !%4V G@%' %'2" T2%' . ACCJD H "%( 22 , I=. + 34- ;=+ * + +;5*+H" . . ( d M ( d _ C z.G [I M ( @ C{z9G M ? P 9::9 9 P ( M. d @ d C z.G s. [¼ ź^ ^¸L A¸ N¡$ ; , @:Vº; K½¾½ k0q{¿[|Jvxz ¤ | i ¤lu{u{mlmH" ¤^ l v}m¥[sjk0|jvz}m |j,zm
(168) mlK urxq{?k0m ° | m ym|qrzJy|q{z}m |ju §|js q{ml|u_kH«°V3u{z mlz} q{ilk0urxhm zm
(169) x mi u{m-¬Lmlm ¬L|j§ mlmlqw|j-ym vzXsj¤l nju{vJ° Dxq{q{D kH¨X?sj©mlm^¿[|[yvqrur|CzJm^|,u ~¦ ¤
(170) yurxyssjs ~C ¤l myz}q{¨Xm sjssjvyq³m^k0" s©.k0q¯x^Em °z}|X|jsx[z}ssxy
(171) hq{mur|qwyk0z}¤lsz yyi z}z}u{|Xm}k0x[°³k0u{u{mlmlm ~L "qz}GLu{X¤ly| ml }|Xk0xyq{mlm u{rmZq" GL¤lyml|Jxqrmlu{Eyz}|Xx m ml}¤ D ©lZu{sE~j¤l q{y¤ k0ml|Jx^°luwv;u{z}q mh
(172) zJk0~CzJ"xm k0m |Xx ¦ ¤l
(173) qrxEyz}s Åz}k0m Q ; . . . . . _ P n } M _ ? I! @9CFEHG P n }#" 9@ C M E ? G M M %$'&($ ". d D Je. zD£;r zJsn }hv m § z qrmlml| "xZ sjz}|-|x¶m ~jk0u{s~ u{ z}m¶q{|m "uwsjvNjvu{mlxy;q{z}~j|³y° zJ~jm qr¤ x xy¤l y z}m|X x ml ¶m xsjm |yxym mlsj|"lml©sj "Kk0¤
(174) xyqw¨Xsjmll° ¤
(175) ±C|jq{Z~CzX"qrxyq ¾ © Q[¼ ;ź^ ^¸L A¸ N¡ ;:Vºl@U# ½ uwH³v m ÅxzJm yk0k0~mJ mymlu{vjvNxyq{z}| n } ¤ xv}|Jx´ysj~j~LzJy¤"xyq{
(176) xym k0ml|Jx~CzX"qrxyq °uwv0ymlu{vxyq{z}|d D Je¶~Lm sxym¤ ¤l yq{myz}sC d D e n J } C _ l @9C{E G6G P M C _ l @9CFEHGGI l n J } C l !G|@9C{E Gks c %Z|!k-sjurxyq{~ju{q v}|Xx m
(177) xyxym0¤l¨Xsvxyq{z}|~v} X m
(178) xm | qr|Xx¤ }v|Xxm |Xxym z m
(179) x ? °.zJ|®z jxyq{m |Xxl°Vm | gjzJq{yq{v|Xx´uwv
(180) zJ| qrxyq{z}|qr|q¯xq{v}urm _ } I @9C{E } G V . ". ". ". ) * +. ". a c l n J C " l G -d ,/ * .1+ 0 @9CFE CUGG q U]s _ C ? G I " @.C{ESC ? GG P 2 } } V. ª,m¨Xsjq zJ|j|jmuwv ÅzJyk0mq{|Jx¤ Jv}urm muwvtu{z}q mt¬Lm |jmll _ C ? G I f. C{z9G|@9C ? G P 2 a c M f U CUG'@.C ?ml U G q U T } M. ÃÅÄƳÃÈÇ.
(181) .
(182) !" $#&%'(#) * +-, . 0/
(183) 21(3" 4 24. v § m^ d D e C ? G/I P C l !G d s V Hv Åz}|
(184) xyq{z}| m-m uwvNjvNxqrzJ| ¦ ¤l yqrx f z}| t
(185) z}k0k0m-uwvysj~Lm ~CzX"qrxyq{z}| sxyml|ym sj .¦ ¤ uwv}"xyqw
(186) qrxy¤-m x ³¦ sj|m Åz}|C 8xyq{z}|®m
(187) ~CzJ|jm |Xxqrmlur{mt¨XsjqEf ¦ v||Xsurm-¥u ¦ q{|±|jq?©.£;z}sC § m yzJ|;¨Xsjm-u{mxm |ym s l zJq¯x _
(188) xym ¤
(189) ±|jq ~LzJyq¯xq E~CzJsj;¨Xsjmu{m[k0z ilurmyz}qrx q{yqr~vxyq © ¡ ¸ $ AK½ $ @: ;_l¸Cº N¸ 1 xy3mlvk0m v|X|Cx vdu{z}D }Jq{e,mmlv "§x ml;¾ ^¸urmº N l¸ v}1¶~jsjyq.m q{k0u³m
(190) m |Xqwxx¤ m uwv} "mlxy;qw¨X sjzXm}m°K(zJ|
(191) q{m |Xqrx;x¨XsjmC urG m° k0 Cqru{q m G °sn . vC v}G
(192) ° xyn ¤l
(193) yqwC "¤G ~xyvm huw;uwvH¨XsjurzJm q m z}k0~Lz}y« * ,+. ". ". C _ G AB I. m
(194) x;zJ| ¤
(195) ±|jqrx;u{ml; zXm(
(196) q{m |Xx d D Pe. . I. . AB _ P. O h~h P L _ A`B C " _ G AB I. I n T X T n d nXe. O. n AB _. O O h~h P L n
(197) _ A`B. n L n
(198) I n} P L TnX I n}n
(199) T P. L. vdŧ mlm^y ~³©zJ| dÅ mlm y~³m©
(200) Xqwe[vq{uwurv {m § k0qrxym m^|Xyx4ye8m0© m
(201) x Åmly~³© [u{m0xymlk0~ mm uwvNjvNxqrzJ| vJyyz
(202) q{¤l¥u ¦ z}| m m0~jym^yyq{z}| ¡ ¸ $ AK½ $ @: ¡PV¸ :¸ $ ;¾¡@:;_¸V: :K½ dŤ^|(¨Xsjq m
(203) § xv}yurzJmls |J§xmmu{v m´k0z l i u{m v mz ¬L mlv|j|m h u{D m¿ vJm |h} ¤l¤ |j±¤ |jqwvyue8v©|X¿[x v|;I m5 m v}x l°uwvtI u{z}n q } d m
(204) n z} k0v ~L§ mlz} yxyuwmlv-kH mlz}|X| x qrxym q{z}§ |qrml|Xn x v n } d_} e _ P n } M _ I M E P n M ESs c ". ". . . w8;5[8H"%<m=6$,.<. &)$>-/5 *( 34- ;=+ *+ +;5*+H". c.
(205) zJvJk0 D ~C¿ zX~""¤vsy.Zxyq{¦ u{sjv[|5 ±Cs
(206) }m sjykHxm v}z qr D |il©Kur|jpKm z}sjkTm® jm
(207) ¬Lx"m xmlm.|jm ¦±¤ Ju{¤ sjyk0"yq{mJmlk0°|Ju{~jxmlu{ZJm 8~C°m-vq{¬Luvm mlk0|"m xi
(208) x ¾yv}m m^| qru{~m v}A v}m5T urA {
(209) i z}u{m |CI JxAy°jsj
(210) q{zJmkHsjk0| mymlk0
(211) ~jm^yz
(212) ¤^ q."i mlm^u{|Xmxxym ~jq{|Xurur{sCxZsu{"mlxy
(213) 3z}¤ k0k0 z ~jv} |u{m
(214) sjhu{mlu{mJm ° . q{¦ k0¤ uwv}m "|xyyqwqr
(215) zJqrxy|P¤ y sjm^~C0¤lyyq{m^m ysyyz}mJy°xtu{mm
(216) x(k0zu{ml # i u{" m A T $ m5I ¬Lm JD|jT:ml9;-9:9 JT!¤ |j¤lu{mlv}Hurqw"~¤v}v}m kH§ T q{i m xy|XTLxHml$ ¥ JDm ¤
(217) T;±§9:|9:q{9qr
(218) HT!zXur"mqrxyxy¤ ml| "m^mlsjv k0 z}mlyHxyqw
(219) yz}y|Xm xsv}lqr© |X%Txym^|
(220) zJk0kHmsj|m"sj~Lm ~LzJyq¯xqrzJ|³ h d_ D e _ I _ As A ; zDr gvJ¨Jsm _ A ml"xymlurq{¤vsxyml|ym sj m^ ¤ ÅzJykvxyq{z}|h~v}l d_J e _ A P n A } M _ ASI AF@.C{E G P n A } AF@9C M EHG T $ I JDT:9;9:9 T! s c c $ 46 87 $ :;$
(221) /0& m
(222) .x ¦ m
(223) £;q{qwyzJ~Cxsm ml|³y |q{m}z}z}°}s| s|j qrmlq{|X hxyq¯¤lxzJy3¤ | m^eZy m
(224) ymlx,z}l|C¥© u ¦ ¤
(225) vxy|Cs m m
(226) x"m^xmTZ~~jv}qr"|Cx
(227) qrm,q{~¥vuu{¦mlv3|C~vyu{KzJy~jmZyq{k¤
(228) xvN¤lx gj ¤ m;ku{vv-xyqw"¨JzJsursm x qrzJs|k0 z ¤^
(229) i u{mz}qw ymhv¬L|ml |jm m m;dÅu ¤l¦ ¤ly|jsjm u¯xvN}xq{m . ". ÆÆ Ïiaj ÝÞ8Ü.
(230) . 1( 1
(231) a.
(232). ). . ). ) ) . ). ) . . . . . . . . . . . . . . . . . . . . D .3@2" 2&2% *2&2%'
(233) . "%-0= ;34+34- ;=+. m5¤l~jxu{KvJ|0
(234) ~Lmlm! kH¦ qr¬L|Xmlml|Xx|j¤ x m Eml m "d m¶x;D J¥urmeHuwv[xm m | ~j|yz}m ~q{sk0v} Jm vN|mlxy;qrq{zJz} || z}|X\ xym^EvC z}\q{|X| xy I m^m^ _!JD T v§L |C¤lTi^yqrGs±C©h|Hv}|Jk0x^|bq{urq{ m gjs0m k0 gjz m ¤ u{qwz}"|C¤h ~v}¥ s¤ |jxymhm urzJk0q qr |m;m (
(235) zJu{kHm®~L gz}yv}xykHmlk0~ m |Xmx v|C b Z z T T d¾
(236) q e M ? E l $ ; X _ I T M v|C b * Z z T T d¾qre _ P n } M _ ? I @9CFEHG P n } @9C M E ? G T d_} e M M v|C b * Z T d¾qr{
(237) q e E C O;T z.GIYE } T M E ? C O;T z9GIwEH v|C b Z T d¾q § e _ C OST z9G I _ } T M v § m^ Z C $ ; X _ G>ASI M _ AB B T "%$ I J]T\ Bi; zDr m^x¶u{v m |yqrxy¤ § z}u{sjk0qw¨Jsm}° n } sj|xymlkH~C m[m uwMNvNjO vNxqrzJ|³° m
(238) x mls0xym |C"mlsj -yXk0¤ xyq{¨Xsjm^ d_n e ABihkjSI B6Ahkj;I hkjAB T A`Bih~j;I B6Ahkj;I hkjAB T . . . &. . !. . . . %&. ". . !. !. . . $ &$. ". ". ". ". ÃÅÄƳÃÈÇ.
(239)
(240) !" $#&%'(#) * +-, . 0/
(241) 21(3" 4 24. P. m
(242) x ¤
(243) ±|jqw~LzJyq¯xq ¾l z , d _ _ _ , _ T " _ U X C b Z G ;s ;s O!U b Z T C $ G d_J e z , d _ _ _ , _ T " _ U X C b Z G Hs Hs O!U b Z T C $$ G zDr X C b 0 Z G ml"xhu{myz}shm^"~vJ
(244) m m C b *Z G ml¶xyml|ym sj"Kk0¤
(245) xyqw¨Xsjmlhm x;zDr _ _ T I _ A`B _ T AB T#" C _ T _ T G U C C b Z G6G C ~jz sjqrx´y lvuwvq{ym v}| C b Z G6G T _ I C _ _ G I
(246) _ A`B C uwv0|jz}k0m s~yz sjqrx´ vuwvq{m G T AF B _ I ABihkj _ hkj C _ G b Z b Z b Z T " T U
(247) C G T C G C G
(248) s K¡ N. L 3= Rg
(249) %4 ! $ 7 22) ANM D #& 2 _ _ T I _ T _ #a%$ a k%4 2 C _ _ T G C C b 0 Z GG s T U £;zJs Åm z}|Chm |z}sxymu{mlgKK~Cz}xygji^"m^h"sjq § v|Xxym^³ m
(250) x k0mlysjv ju{mll© l n} T T d_ Je l z d C O G P Hs Hs O!U b Z s b [ ZV© l z nd n}C G n O P Hs Hs O!U ml"x ¤
(251) ±|jq~CzX"qrxyq l u{v0 z}| qrxyq{z}| .¦ v yz}~xqrzJ| I l d_X e z , d _ _ _ , _ T#" _ U X C b Z G Hs Hs O!U b Z m
(252) x;zJ||zxym~Cv 0u{mxm |ym s´"skH¤ xyq{¨Xsjm ¤ ±|jq³~LzJyqrxyq n } © . . . . ". . ). . . ). &. . ". ". . . . [$,]&u+;5*#++ &g(05*$ $>&u8[+ ,.-/=([&)$>-/50, 1i-/"u&u+;,. ~jsm k0¿[~jyq{vzm |(j(u{k0i k0m
(253) z xym xyi m®d?u{m ~Cve
(254) d¾qr©y|Xxy¿[xyq{m}¤lv}°Z|C|jzHzJ« s mq"(GL l¤l~v yyml¤^|J"m}mlxqr|J°Emlxu
(255)
(256) z}e qrxy|zJd¾(n |e0sjH| m urm^xy¤^z}x"|Xsx(v u¯x§ k0vNvxsjz}|X.x¦ ym
(257) ¤5mqwuÁ¦xm vm j|q{" qxymlmlqr|zm
(258)
(259) x mm
(260) x. ¦ s5m|jz}q{u{ vyq¯xz y¤ z}u{Ps;mxqr¨XzJuwsjv| qhy z}z}v|Xu{s|xHxyq{¤
(261) z}xyu |¦s mly Å~qrzJ¤v}" xu{mmm C b C b 0Z GG C b C b *Z G6G "zJs mlh
(262) zJ| qrxyq{z}|hysjhurm^ zJ|j|j¤lml¶qr|Xxq{v}urm^,m x¶uwv Åz}|
(263) xyq{z}| m m uwvNjvNxqrzJ| f © |
(264) z}|C"q i murm^hmly~v} ml Åz}|C 8xyq{z}||jm uw³ C b Z T X C b Z GG/I! _ b Z X C b Z G" a b $ # _ q O &% T d_} e ' X C b Z GI _ C b Z X C b Z G6G" $ ; X _
(265) C b Z G Z s U T U % |v0urm[xyg¤ z}i k0m .¦ m
(266) qwxm | m[m x .¦ sj|jqw
(267) qrxy¤Z b Z Z )' X b Z 2 a ¡ L23= fa% a 4 1(. " ( MK¸ AK C{z
(268) C b Z G Z G H B K
(269) 4 a&0a 2$ 2 aCFE } T E CFE T _ _ } G G U
(270) #&C % C @!GG ANM+ *JD H / (1 C G U T T , E
(271) z
(272) C b Z G Z
(273) z
(274) C b Z G Z U T T T } Z Z Z ' b b b X X _ U
(275) z T C G !
(276) z T - C T C GG s . . . . . . . . !. ÆÆ Ïiaj ÝÞ8Ü. . . . &.
(277) 1( 1
(278) a W X¡P¸V: º º;_¸V:¢ |¤l yqrxZu{m;~jz ju{i k0m0E d_}e3yz}sC3u{v Åz}kHm ³¦ sj|(yxi k0m .¦ ¤ § z}u{sxyq{z}| s~ymlkHq{m Tz} ymml|qr|Xxyz sjqwv|Xx u{ml § vq{v ju{mll I M ? m
(279) x I _ l @9CFEHG ©Hm~jyz ju{i k0md_ e¶"m¤ ¤^
(280) q¯x^ M D. M E ? l IYz T M M ? l J $ ; X C M M ? l @9C G P M E C O;T z.GIwE } T I C{E NG T T c . _. . d Pe. . I. T. . n J } IYz T C O;T z9G I HE T ; C SO T z.GI } I _ } l. z}sm |C
(281) z}m}°ml|~LzJv|Xx d¾J e v § m^ l I l J $B;X C @9C{E G6G l d¾ D e. . q ? q P C{z9GI . . $B;X. @9CFEHGG l J. l @9C G n J P }. }T. I T. . J $ ; X. z E} } I } T I s } z. . . @9CFE } G T. T. |qr|Xxyz sjqrx;u ¦ mly~vJ
(282) m m;q{uLm yx d¾X e KIC C b Z GG Z C C b Z G6G Z C b Z T X C b Z G6G k-s|jq s~jz sjqrx v}u{v}qrm d¾J e C T G
(283) I C{E T E G P C{@9CFE G @9CFE G6G P C ] T G P C G v § m^ I C{E T ] T G c m
(284) x I C{E T T G c m
(285) x C{E T E G Iba b # EHiE q O;T C N G Iba b # N q O s K¡ N. L 3
(286) L Rgf#&%'3a 21( " %'!A *+*JD ( g* %1 ANMEDJANMDD |
(287) z}|C"q i mu ¦ z}~L¤ vNxm sjh|jzJ| Lz}|j¤ysj !C G X ¤
(288) ±|jq.~Cv0d¾ D e¶v § m^ d¾}n e !C G I SCFE T T NG U " P @9CFEHG U ' X C b Z G T U C C b Z GG Z % s Ez}sj;v}~j~ju{q ¨Xsjmlu{vtxgj¤ zJyq{m m ;q{ur{m
(289) « ZzJyq v-zJ|5vsjv Lmlyz}q{| s K¡ ¡ L 3= R7, (#)2%' 2a% P +4 4 ;K g& .h#a%7 a v J " L WX¡PV¸ : º º ;_V¸ :¢ «T·¹&¸ :¸Cºl&¸ : ; L"zJq¯x IC{E T T NG c U !C G z}|5v C T G
(290) I l a b # E q O l a b # @9CFEHG @9C G q O l a b # $B;X
(291) @9CFEHG P l a b #"! @9C G l d q O I l a b # E q O P a b # d q OST &. . &. . . . . . . . . . . . ). T. . . . . .
(292). qO. . ÃÅÄƳÃÈÇ.
(293)
(294) !" $#&%'(#) * +-, . 0/
(295) 21(3" 4 24. .¦ vsxym~v}"x
(296). Ia. |m | ¤ sjq¯x´¨Xsjm. . b #. @9CFEHG @9CFEHG q O P a. . E q O P a b $#. C. G
(297) P. T. . . b # . ¾X. d e. . . . . . I T l J $ ; X C @9CFEHGG l J $B;X P n } l C G|@9C G J P n I s O P } $B;X
(298) P E I P P . . q O P a b $# d q O s. a b $# C E l E P C l LJ )G a b # C E P v J"L v z IC{E T T _ G c U !C C) G.
(299).
(300) m¨Xsjq³k0zJ|Jxym¨Xsjm P ml"x;kHzJ|jzxz}|jm i^¨Xsjm © «~Lz}³sj hxKz}s¼}ºx ; X- ;¾ºlI KC kHzJ|XxyG z}|,¨Js°m qru. m KPqw" xy0mmlsj"|jx¶mysjyz}_u{sml
(301) xyq{xyz}q § | m´~Lz}sTxz}sx T#T c U. . DD. E l. GqO GqO. ©jª,ml qVG ¤l ¨Xssjq y§ v}sxi x¶k0¥-m k0z}|Xxym ¶¨Jsm. I #T C + G C
(302) G. pKq d_Je,vHsj|m"zJursxqrzJ|³°q{u³ml"x ¾v}
(303) q{u m .¦ ¤lurq{k0qr|m m x m
(304) x m § zJqr¨Xsjm E zJq¯x § ¤ q¯±Cm hu ¦ ¤l¨Xsvxyq{z}|³ n} n} d¾ Je l $ ; X
(305) T C O G'@9CFEHG $ ; X l
(306) n} n } C O G'@.C G T J P J P v § m^ n} d¾K e T I P J P n } s Hv ÅzJyktsju{vxyq{z}| § vq{vxyq{z}|j|jmlur{m m d¾ Je¶ ¦ ¤l yqrxlKxyzJs § ml E U C C Z GG Z xm u¨Xsjm ) CFE T E T GI>C E T G T " E T U C C Z GG Z v § m^ ) C{E T E#T GI C T @9C{E G @9C E#T GG P C E T E#T G T d¾J e n} n} T T l T >C E T GI C #T E#T G P C T E G C J P n } @9C EHGG P C J P n } @9C G @9C E G6G T zDr Cs T sG d¾ym^"~³© C6s sG e ¤lyqrJ|jmurm~jz sjqrx´y lvuwvq{ym"s C b Z G d¾ym^"~³© C b Z T C b Z GG e8© ¿ml"¦xv}~j yz}i^|X xyq{|Kd_Jsj m eA« C $zKG m °
(307) d_qJ metym
(308) sjx( u ¦ q{|j¤ Xvb u{q¯xZ ¤ Z m ~C´zJzJsjy| xz}js° x D v| h© H³
(309) m5xCgjb ¤ zJZ yGil kHZ m°3u{v m ÅzJHyvNk0Km« 5jqrq{u{ur}q{|jv¤lkv}qrm ~Cml) yCk0s T m sxG vC u{z} G .¤
(310) ¦ xv v|XxkH"sjml;~~C¨XzXsj"m¤l§ mlurm-[~jvy~jz ~jv}
(311) u{" i xk0m |jmC q{d¾}¥ G eh C v k0C b m x´Z GsjG |jZ myz} u{sxyIC5 q{b z}|zZ sj|X q{¨XC b sj m Z EGG °L zJv|®| z C xyq{m |XC b x[Zu ¦ G6m
(312) GZ qw©&xH³m |m^ m z} |m |j ¤ m^ T U TC b Z T X C b Z GG m |~LzJv|Xx n n} n} d¾ Pe l I } n @9CFEHG P n n @.C G J P } J P } J P } m
(313) d¾xJz}e
(314) |5°z}k0| z}§ |XzJxyq¯x m ¾uv}¦ m qru{q{m "k0xymlml||J
(315) x;m ¨X sjm m U m
(316) x CE § C ¤ q¯Z ±CG6m G |XZ xm |5sjxyq{urqwyv}|X!x d¾X eA4« d¾v e8#© %Z|±|ml|5ymlk0z}|Xxv}|Jx´¥(u ¦ ¤l¨Xsvxyq{z}| $ ; X C @9C{E G P NG U C C b Z GG Z s !. . . . . &. . ÆÆ Ïiaj ÝÞ8Ü. . .
(317) 1( 1
(318) a u{;£ m k0zJsk0m}v °j§ q{zJu|ys 0 z}x | m v}¤lk0q{yz}z}|j|X|xym ¤v¨X§sjm^m IP P ¤
(319) J x©v}q¯x(ysj_ml 8xq " v z ©3Ez}st±C|jqruwv ¤ k0zJ|xvxyq{z}| s ~jpKzJz sj0u{i u k0¦ gKKm ~Cd_z} xyPgje¶i^v "m kHm x;} sjU |jm!sjC | q{¨XG sjm mx(y}z}u{sxy
(320) q{mz}| vs xygU ¤ z} i } k0C{z m T m V;qC {u rG6m G « Z zX "q Cvgz T ? °T|jG z}©js |5 ¤v sjqwyz}|¨Xsjmu{m c E U
(321) z T C C b Z G6G Z T c I M E U }
(322) z T C C b * Z GG Z
(323) z T C C b [Z G6G Z T c c _ I P @9CFEHG U }
(324) z T ' X C b Z GG m
(325) x U
(326) z T C b Z T X C b Z GG G T
(327) m¨Xsjq³ml|Xxyv È|jm , E
(328) {z C C b Z G6G Z
(329) z C C b Z G Z U T T T _ U }
(330) z T ' X C b Z G
(331) z T C b Z T X C b Z G6G m
(332) x´vJ gji § muwv ¤ k0zJ|xvxyq{z}|³© b uX| ¦ vvs sj|jm q (
(333) su¯x¤,¥;z xyml|jq{sj|ty¤^"sjurxvxv|Cvu{z}}sm v|u{m, vJ s-kHz ilurm m¬Lm |jmlJ¤ |j¤lv}u d_J e8© ¿[_ A v¨J|s;q³
(334) mz} k0vJ~L °zJzJym ||X x g_ m d § gjzJmqru{m-m uwgvNv}xqrk0zJ|~ d_ m D e'eh¤ ~j"zJuwv}urs m xqrk0zJ|m |X x Esm
(335) ~jxz urm^jhu{i xyk0ml|mJ" mlsj ml; z}|Xxyvq{|Xxym^"¤ u{¤ k0ml|Jxvq{ym^ D. . !. !. . !. . !. . . . !. . ÅnX. . d e . . . !. h l $ ;X _ A I E M cc T A ; A_ P n A } M _ A I! AF@9C{E G P n A } c E C OST z9GI E } T%M ESC O;T z.GIYE _ A C O;T z.GI _ A} T c. . . . A{@9C M E G T $ I JDT;9:9:9 T!#T c. ". T. $ I JDT;9:9:9 T! s. |~Cmlsxvu{z}¶k0z}|Xxym hu{m} ¡ L23L C{E } T EH T _ } T:9;9:9HT _ h} G U
(336) C b [Z G
(337) ' X C b *Z G h . "%( .#a% a U ( MK¸ AK B K
(338) ( a&7aV 7 2 a #&% @!A ED , E
(339) z C C b * Z G6G Z !
(340) z T C C b 0Z GG Z T U T Z GG
(341) {z T - C b [Z T X C b *Z GG T#"%$ I J]T:9:9;9 T s _ A U } Cz T ' X C b [ . . &. . . .
(342) z !T C b [Z 6G G Z . . . . 8;,9(*=>&9< &), *+")8;:/(*=< "R$'&u8. xymlk0%Z~|®;yysjsj~j~Lu{v0zJyvz}|Xu{sx´xy~q{z}ur|s mty¤l}sjuwvq¯x¤-ysj´u{ml z}||j¤ m^ °Cz}|~Lm sxzjxym |qrsj|¤lysju¯xvNx m-¤ Jsju{v}yqrxy¤ml| ¡ L23 < (3##) 2!27" ! . 0#&% @!ANM+*JD/%4 V A L D ( MK¸ AK Z G
(343) k e C b [ Z G Z T C T n } T T G U
(344) k e C b 0 dÅn D e CFE } T E T _ } G U C h C b Z G6G C h C b Z GG Z T h
(345) z C C b Z G6G Z h d
(346) z C C b Z G6G Z s U T T "%( $ 2 a B>%4 C{E _ G !#&%' @2ANM *JD /%4 T E U h
(347) z T C C b Z G6G Z ! h
(348) z T C C b G6G Z T _ U h d
(349) z T ' X C b Z G h
(350) {z T [T C b Z T X C b Z G6G s. . . &
(351). ". .
(352). . . !. . .
(353). !. . !. !. . . &. . . . . ÃÅÄƳÃÈÇ.
(354)
(355) !" $#&%'(#) * +-, . 0/
(356) 21(3" 4 24 D. . X¡P¸V: º º;_¸V:¢ |v}q{yz}|j|m~v}y¤^
(357) sjm | m[ysj © |
(358) z}k0k0m |C
(359) m~v} I L © ´~j~ju{q ¨Xsv}|Jx;u{m[xygj¤lz}i k0m© D vs~jyz ju{i k0m W. M. . ÅnK. . d e . . . . l. . c c n. P } " } c " } c. I I M T I n c #} " @9C G 9 @ C G Mc Mc T P I } IwE T M ? " } I I J C C O;T z.G P $ ; X _ M c I } I n J
(360) @9CFE } G P n } " @.C{E G l _ } s } C } } G C T G T T T d e
(361) z C C b [Z GG Z
(362) z C C b [Z GG Z T
(363) z T C b Z X C b Z G6T G } Cz ' X C b Z GG ! T! T T. $ ;X. . }GT. pKzJ© D s° ;³u{¦ mlz]´rgXu K¦ m ~Lzq{"xxygjmlil|y
(364) mlm0.d¾n ¦ sjD |je8°mu{mlyz} u{sz}xqr|zJ|j|¤ sjm^|q{qr¨X|sjq¯xm q{v}urm^ syxi k0m §ÅnK¤ qrV± m |Xx´u{ml
(365) z}| q¯xqrzJ| sxygj¤lz}i k0m U s U H³m^h~jqrk0qrxyq § ml dÅnX e E C ? GIwE } P a c CUG q U T _ C ? G I _ } P a c CUG q U } } § ¤lyqr±ml|Jx;v}urzJ E
(366) z C C b 0 Z GG Z
(367) z C C b *Z GG Z U T T T _ U C{z T ' X C b Z G6G
(368) z T C b Z T X C b Z G6G s Ez}sjh±C|jqrq{uys 0x mk0z}|Xxym ¨Xsjm C{E T _ G ml"xhuwvyz}u{sxyq{z}| sd_ e8©L C{E T _ G § ¤lyqr±mZ , l $ ; X _ l Ibz M c
(369) M ccE T dÅnJn e n } _ l @9CFEHG ln } @9C EHG IYz)s
(370) _ M M P M %Z|q{|Jx¤ Jv}|J0x d¾n}n e,ml|Jxym z m
(371) x ? c m
(372) x;ml|xm |v}c |Xx´
(373) z}k0~xm ml z}| qrxyc q{z}|Chqr|jqrxyqwvu{ml . . . . !. . !. . . . ". " } c M c " c " } c C{E T _ G. ÅnK. d e. I M E " } IYE T c c I } M E " } I J C C ;O T z9G P $B;X _ } G T cc c I M _ " } I n J
(374) @.C{E } G P n } " @9C{E ~G l _ } T } c c. j| zJshk0z}|Xxyz}|h¨Xsjm ml"x;u{v0yz}u{sxyq{z}| sTd_}e8© 3¨Xs v}¦qr"u.zJm^|¶x v§ svuwv lv}j¶u{m}~L¤l|jz}s¤ vu ©j¿ ¦ v^ ~j©ilpK¶sj~u{m~CzX¤l"yzJsj|urhxv¨Jx¶s~jmu{¤lm ¤ ¤lymlsj|XurxhxvzJx,|ml"vx qrxh§ ¨XvsjqJm[suwvH¨Xys z}¦u{¥tsxu qr¦ zJzJ| CFE m _ lG J mm
(375) d_xh}k0e¶z}v|X~xy~z}v|Cy« xym
(376) q{x;m |Xmlurx{m ¥ § ¤lyqr
(377) ±z mT dÅnJ nC e8©) HC mlb 0 Z G¤lG yZ q § ¤lml
(378) z T C C b 0Z GG Z C{z T ' X C b 0Z GG
(379) z T T C b 0Z T X C b [Z G6G C T GI C M E TiM _ G m
(380) yz}x |XC x v|CG ml "x;
(381) u{v0z T yz}u{ sCxyq{z}| C b sTZ GdÅG nKZ e
(382) ©C ª,z}
(383) k0z Tk0m[ Cu{ml C b z}|jZ |G¤ G cZmlh q{|jc qrxy} qwvC{zu{mlT § ¤ ' q¯X±C mlb |XxZ G6G
(384) z T C b Z T X C b Z G6G T C } T T } T G U C h d C b Z GG C h d C b Z GG Z h d
(385) z T C C b Z G6G Z h d
(386) z T C C b Z GG Z T .¦ v~jilhu ¦ gXK~Lzxgjilym my¤^
(387) sjyml|
(388) m[z}|5v hd b Z Z h b Z U h
(389) {z T C C G6G !h
(390) {z T C C G6G T d
(391) z ' X C b Z G d
(392) z - C b Z X C b Z GG U T T T T . &. . . . !. . . . !. . . &. . &. . &. . . !. . . . ÆÆ Ïiaj ÝÞ8Ü. . !. . !.
(393) n
(394) m¨Xsjq³q{k0~ju{q ¨Xsjm D. . . E U h
(395) z T! C C b *Z G G Z h
(396) z T C C b G G Z T _ U h d
(397) {z T ' X C b Z G h
Documents relatifs
Dans le cadre du LabEx RESSOURCES21, les premiers groupes de métaux sur lesquels un accent a été mis sont les suivants : les métaux de la filière photovoltaïque
Dans le cas a), l’´el´ement passif stocke l’´energie cr´e´ee par le moteur durant la phase d’actionnement et la restitue pendant la phase de rappel. C’est un m´ecanisme qui
Les résultats de l’étude de niveau pour un processus respectant un modèle AR(2) avec l’innovation d’un modèle GARCH(1,1) sont présentés dans les tableaux 4.3 et 4.4..
En réalité, son auto- rité repose sur un contrôle communautaire et une hiérarchie politique : dans les prisons et les camps, les comités de détention sont mis en place par
À cet effet, un nombre considérable de recherches démontre cliniquement que les enfants de parents souffrant de problème de santé mentale sont plus à risque d’un retard dans leur
usual route to school and provide us with some details about their travel routine (e.g., schedule, mode of transportation, people accompanying them, etc.); 3) recent interventions
Même si l’armée de Terre française intègre déjà de nombreux dispositifs de simulation numérique ou d’aide à la décision dans ses systèmes d’information, il s’est
L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des