Lyapunov Equation for the Stability of Linear Delay Systems of Retarded and Neutral Type
22
0
0
Texte intégral
(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. Lyapunov equation for the stability of linear delay systems of retarded and neutral type Pierre-Alexandre Bliman. N ˚ 4127 Mars 2001. ISSN 0249-6399. ISRN INRIA/RR--4127--FR+ENG. ` THEME 4. apport de recherche.
(3)
(4)
(5) !"$#%&' ()#$ *,+ #-./ 0 1 23 4 ( 5+*+ +6 0#&78 ;9 :=<?>@>@<BADC0EF<G!HJILK!>@<8M(E=:=NOHJIQP RSLUWT VXUY7Z\[^]_V7`1acbed-]cfhgiUjdflk1d-]_VX]_m$bed-]_fhg n Uom%p^m%d UWT VXUWmqWfhVk a_U@rsUWm t u f?v-Ujd[^fhm-m-f w bek kf u d n U u UWq S U u q S UxgyJY^z?{h|}Z~b u m{lh&zoZ zBl(k1kLUWg n ]rX 8blacVblg^be^`sLf^]_q S t lf kLf a_UWVXVbed-UWVzB k!blhUWm. W??1h Dg d S ]_m¡g1fld-U]_m¡m-d-` n ]_U n d S U n UWacbp¢£]cg n UjkLUWg n UWgJdQm%dbe ]_ac]d£p¤fh¥ n UWacbp m%p&m-d-UWVXmW¦§d¦]_mQm S fB¨(g d S bedd S U m%d u fhg1 n UWacbp¢£]cg n UjkLUWg n UWgJdm-dbe ]_a_]d§p8]_mdblg¢dblVXfh` g¢dd-fd S U ¥=Ublm-] ]ca_]d£p8fh¥qWU u dbl]cg}a_]_g1Ub u V8bed u ]r]_g1UW©&` bla_]d§phª f u UW©&`1]hbla_UWg¢d-a_pd-fd S U7U@rs]_m%d-UWg1qWU7fh¥*qWU u dbl]_g«©&` b n u bed-]cq¬Qp¢bek`1g1fJ£ u blmf^m%&]c]¥=`1g1qjd-]_fhgblaª]_g n UjkLUWg n UWgJd(fh¥ d S U«®g1fhg g1UWbed-]UB¯lblac`1U8fh¥(d S U n UWacbWph R(S ]_m7qWfhg1m%d-]d-`sd-UWm7d S Ublg blacfhh`1U8fh¥m-fhVXU8¨UWaca°&g f¨(g±k u flkLU u d-]cUWm fh¥² g1]d-U@ n ]cVXUWg1m-]_fhgbla(m%p^m%d-UWVXmW R(S ]_m u UWm-`1ad]_mid S UWg³bek1k ac]_U n d-f´m-d-` n p n UWacbp¢£]cg n UjkLUWg n UWgJd8m%dbe]_a_]d§pµfh¥ m%p^m%d-UWVXm¨(]_d S qWfhVXVUWg1m-` u bed-U n UWacbp&mª n UWacbWpJ£]_g n UjkLUWg n UWg¢d m-dbe ]_a_]_¶be]_a_]d§phªJblg nin UWacbWpJ£]_g n UjkUWg n UWg¢dm%dbe ]_a_]_d£p fh¥5m%p^m%d-UWVXm·¨]d S kLfhapJd-flk]_q¤`1g1qWU u dbl]_gJd-]_UWmW ¸º¹¢»¼-½ ¾ ?¿ a_]_g Ub u n UWacbWpm%p^m%d-UWVXmª n UWacbp¢£]cg n UjkLUWg n UWgJd.m%dbe ]_a_]_d£phª¢©&` b n u bed-]cq·¬Qp¢bek `1g fJ£ u blm-fB&m%^]_]¥À`1g q@ d-]_fhgbla_mWª1a_]_g Ub u Vbed u ]r]_g1UW©&` bla_]d-]cUWmWª&m-d u `1qjd-` u U n m]_g1h`1acb u hbla_`1UWmW. Á_ ħà ţÆÇ Ä;à QÈ ÉÅ°ÊËWÌ Í¤Î ÏÐÑÓÒ_ÔÕBÖ@×$ØjØ×@ÙjÚ@ÛW×$ÜWÚÝWÞjØ×&ßcàÛÖ%áBÚÝâÖ-ÝjØBÖ@Ú^ßÀãWØ?äæå1ÐçFè(é$ê5è°ëBÑíì;î!é@çïîLÐ$ìðBé@ñeòîQëeòDñiè°ë?òoÐ$óBè°ëeé$ç;îLÐ@ìé@ñÒôò%Ð%õjò¤êçé$Ï ö ä ÷ä ø*ä ö ä ù äjÑôñ·÷¦ÐèÑôé@ñeÐÒ¢ú&ò%û°ëeñBÑüûDÐÒhýñ?ÑôõjòDç°ì=ÑÓèÀþéê^ùè°ëeòñlìÿ¦çòò%ûò@ÿWîLÑÓè°ë·è°ëeò¡ìFóhé@çFè!é$ê¢Îó?çéhò%Ðñ!é@Ï·Ï;Ñüìì=Ñôé@ñ ìú&ç°ÐÑôñ?Ñôñ Ðñlð ø ø ú çò%ÐïWè°ëeçé@ó @ëÑüñè°ëeòûé@ñWè°çé$Ò1éêLñeé$ñ?ÒÓÑôñeò%Ðç*ì=þ?ì=è°òDÏ"ì !Bäúëeò é
(6) BÑôÒÓÑÓè=þéêø¡ò%ìFò%Ð$ç°û°ëeòç°ì5åç é @ç°Ð$Ï·Ï·òÎ Ð$óBè°ëeé@çÑíì¦Ñôñeð?#ò
(7) Bè°ò%ð¤è°éè°ëeò ñeò§è=îé$çï ûéWé@ç°ðÑôñlÐè°é$$ç lç°Ð$&ñ û% é$ÑüìF(ò '&Ð$Ï·ñl)Ð
(8) eëB*Ñ +'& Ð jÐççF*Ñ @óeò$ÿ^Ðñlð¤è°ëeòûéWé@ç°ðÑüñeÐè°é$ç éê!è°ë?,ò $çòDòDïoè°ò%Ð$Ï ö é@Ð$ñeñBÑüì¡úLì=ÑôñBÑíÐ$ìÿlêé$ç¡è°ë?òÑôçLëeò*Ò oÐñlðìFó hé$çFè%ä Unit´e de recherche INRIA Rocquencourt Domaine de Voluceau, Rocquencourt, BP 105, 78153 LE CHESNAY Cedex (France) T´el´ephone : 01 39 63 55 11 - International : +33 1 39 63 55 11 T´el´ecopie : (33) 01 39 63 53 30 - International : +33 1 39 63 53 30.
(9) +
(10) i 4#- !"$#% +* 2 * #$ * * 5!++ &0i .!+ .4 0L ¹
(11) ¹ ¬Ófl^v-Ujd n UqWUjd%d-U¤g1fld-U¤UWm%d;aUj d-` n U n Uacbm-dbe ]_a_]dU ]_g n Uj kLUWg n blgJd-U n ` u Ujdb u n ® "!# $%&!'&!)( 0og±Vfhg¢d u U©&`1Uiacbºm-dbe ]_a_]dU ¥=f u d-UWVXUWgJd ]cg n Uj kLUWg n blgJd-U n ` * (+,- ./ .(. æUWg´blg1haÀbl]_m$¯ n UWmm%p^m%d UWT VXUWm b T u Ujdb u n 1 u Ujdb u n UW ©J` ]lbl`1d bT acbmfhalbe]_a_]dU n Ó`1g1Uo]cg2UW bla_]d3U a_]cg2U bl] u UoVbed u ]cqW]_UWa_a_Ulª1fh`}UWg qWf u U bT a+ÓU@r^]_m-d-UWg1qWU n Ó`1g Uo¥Àfhg1q@ d-]_fhg g1UWa_a_U·©&` b n u bed-]c©J`1U n U¬Qp¢bek ` g1fJ£ u blm-fB&m-&]_]]_g n Uj kLUWg n blgJd-U n UacblblacUW` u ®FkLfhm-]d-]_Ufh`g&`1a_a_UB¯ n ` u Ujdb u n 4 UWqW](qWfhg1m%d-]d-`1Uº`1g blg bla_fhh`1U n Ó`1g1Uk u flk u ]5Uj d3U ]_UWg´qWfhg gJ`1U}kfh` u a_UWmXm%p^m%d UWT VXUWm n U n ]_VXUWg m-]_fhg±² g1]_Ul 4 U u UW m-` adbedUWm-dUWg1m-` ]d-Ubek1k a_]c©J6` U b T a Uj d-` n U n Uacbom-dbe ]_a_]d U ]cg n Uj kLUWg n blgJd-U n ` u Ujdb u n8n UWmm%p^m%d UWT VXUWm·bWUWq u Ujdb u n m qWfhVXVUWg1m-` u bl`sr!ª bT acbm%dbe]_a_]_mbe]_a_]dU7 ]_g n Uj kLUWg n blgJd-U n ` u Ujdb u n ª¦Ujd b}T acbm%dbe]_a_]dUX ]_g n Uj kUWg n blg¢d-U n ` u Ujdb u n n UWm(m%p&m-d UWT VUWmbUWq0]_g qWU u d-]d-` n UWmkLfhap&d-flk ]_©&`1UWmW 7 ¾ ? ¼ 8 ¹ [&p^m%d UWT VXUWm.a_]_6g U bl] u UWm b T u Ujdb u n ªhm%dbe ]ca_]3d U ]_g n Uj kUWg n blg¢d-U n ` u Ujdb u n ªh¥Àfhg1qjd-]cfhg1g1UWa_a_UWm n U ¬¡p¢bek `1g1fB¢ u blm-f^m%^]_]Q©&` b n u bed-]_©&`1UWmWªs]_6g UW blac]3d UW m(a_]_6g U bl] u UWmVbed u ]cqW]_UWa_a_UWmWª^hbla_UW` u m·m]_g1h`1a_] U T u UWm·m%d u `1qjd-` u UW UWm.
(12) -$%! (. !
(13) / !# * * ( * . +X¦L- RS U·m%dbe ]_a_]_d£pfh¥!a_]_g1Ub u n UWacbWp7m%p&m-d-UWVXm*fh¥ u Ujdb u n U n f u g1UW`sd u bla^d§pJkLU·]_m*b² UWa n fh¥]_gJd-UWg1m-U u UWmUb u q S z&ªsz . VbBv-f u n ] qW` ad£p a_]cUWm]_gd S U;¥=blqjd5d S bed¦d S U n UWacbp&m.b u U`1m-`bla_apo]_VkLU u ¥=UWqjd-ap¤&g f¨(gL5´¨·bWp0d-fUWg m-` u Um%dbe ]_a_]_d£p u fl`1m%d-g1UWm-m ¨(]d S u UWm%kLUWqjd d-f}d S ]_mo`1g1qWU u dbl]_g¢d§phª¦]cmod-f}UWVk acfp«m%dbe ]_a_]_d£pq u ]d-U u ]cbihbla_] n ¥=f u blgJp«g fhg1g1UWbed-]U hbla_`1Uifh¥·d S U n UWacbp&mWª5d S bed]_m "!# $%&!'&!)( * ( * RS ]_m0blm-m`1Vk1d-]_fhg)d S bed g1f]cg1¥Àf u Vbed-]_fhg)fhg±d S U hbla_`1U7fh¥*d S U n UWacbpº]_m^g1f¨(gQª]cmfh¥Àd-UWg qWfb u m-U ]_gk u blqjd-]_qWU]_gOhUWg1U u bla.m-fhVXU7UWm%d-]_V8bed-UWm b u UbWhbl]_acbe a_UlªQblg n ]d]_mVXf u U0bek1k u flk u ]cbed-U®°blg n mfhVXUjd-]_VXUWm`1g bWfh] n be a_UB¯d-f8qWfhg1m-] n U u d S U m%dbe ]ca_]d£pifh¥5d S U m%p^m%d-UWVXmfl1dbl]_g1U n ¥=f u d S U n ] !U u UWgJdhbla_`1UWm;fh¥Qd S U n UWacbWp^m;]_gid S U¤qWf u-u UWm%kLfhg n ]cg1ok u f n `1qjd;fh¥QLfh`1g n U n ]_gJd-U u hbla_mW#"f¨;UjU u ª d S U n UWm]_hgfh¥m%dbe ]_ac]d£pd-UWm%d-mob n bek d-U n d-f8d S ]_m(dblm-ªLfld S !$% & " (' (&(+, 8blg n ! !&) ! * * (. + Wª¡m-UWUWVXm m%d-]ca_aLVXf u UoqWfhVka_]_qbed-U n R(S ]_m;]_m·d S U u Ublm-fhg}¨ S pid S U n UWacbp¢£]_g n UjkLUWg n UWgJd u UWm-`1ad-mb u Um%d-]_a_afh¥¦]_g¢d-U u UWm%dW ,1u UW©J` UWg1qjp n fhVbl]_g q u ]d-U u ]_fhg«¥Àf u n UWaÀbWpJ£]_g n UjkLUWg n UWgJd¤m%dbe ]_a_]_d£p)®f u ¥=f u * ('- !/. n UWacbWpJ£]_g n UjkUWg n UWg¢d¤m%db? ]ca_]d£p zB ª m-UWU UWacf¨¯$ª1U@r^k u UWm-mU n JpqWfhg n ]_d-]_fhg1m·fhgd S Uo¶WU u fhm(fh¥.b7kLfhap&g fhVX]cbla!¨(]d S d§¨flb u ]Àbe a_UWm·]_gd S U ¥ u UW©&`1UWg1qjp n fhVbl]_gLª S blm.LUWUWgX¥Àfh` g n ¥Àf u*u Ujdb u n U n d§pJkLU·m%p^m%d-UWVXm z?{&ªsz ªszY ª^blg n VXf u U u UWqWUWg¢d-ap ¥=f u g1UW`sd u bla d§pJkLUim%p&m-d-UWVXm &ªz?|&ª*{l0 4 S UWg &( 21 S bUm S f¨g d S bed q S UWq&]cg1}d S ]cm k u flkLU u d§p)blVXfh`1gJd-md-fU u ]_¥Àp qWfhg n ]d-]_fhg1m]_g¢fha_&]_g m%d u `1qjd-` u U n m-]_g h`1acb u hbla_`1UWm¨]d S u UWm-kUWqjd(d-f8qWfhVka_U@r}`1g1qWU u dbl]_gJd-]_UWmblg n S bW^]_g1d S U ¥=f u V fh¥LmVbla_a1bl]_g8qWfhg n ]d-]cfhg1m bek1kLUb u ]_g o]_g u fl ` m%d m%dbe ]ca_]d£pblg blap^m-]_m RS ]_m bek1k u fblq S ª S f¨;UjU u ª n f&UWm g1fld h]U u ]_m-U¤d-fXUblm-p¢°d-fe£q S UWq-OqWfhg n ]d-]_fhg mW 0og0d S Ufld S U u S blg n ªllb u ]cfh`1mUblm-p¢°d-fe£q S UWq-Xm%dbe]_a_]d§p qWfhg n ]d-]_fhg m S bU·bek1kLUb u U n ]cgd S Ua_]d-U u bed-` u Ulªlblm-U n fhgd-]_VXU@ n fhV8bl]_g}d-UWq S g1]_©&`1UWmWª!m-UWUUlÓ^ zhzª{h{^ª{J3z 5blg n d S U u UW¥=U u UWg1qWUWmd S U u UW]_gL·k1k u fblq S UWmJp}©&` b n u bed-]cq ¬¡p¢bek `1g1fB¢£ u blm-f^m%^]_]·¥À` g1qjd-]_fhg bla_mb u U]_gJd-UWg1m-]_UWap)`1m-U n ªa_Ub n ]cg1]cgæk!b u d-]_qW`1acb u d-f qWfhg n ]d-]_fhg1m U@r^k u UWm-m-U n `1g n U u d S U¥Àf u V fh¥a_]_g1Ub u Vbed u ]r±]_g1UW©&` bla_]d-]_UWmi®m-UWU ^ª {l ·¥=f uu Ujdb u n U n d£p&kLUm%p&m-d-UWVXmWª {J3z ·¥=f u g1UW`sd u bla d§pJkLUB¯$ªLbXqWacblm-mfh¥5k u fl acUWVXm¥=f u ¨ S ]cq S ¨(] n UWm%k u Ub n kfB¨U u ¥À`1a¡gJ`1VU u ]_qbla¡bla_hf u ]d S VXmU@rs]_m%dW4"f¨;UjU u ªLd S UWm-U m%dbe]_a_]d§p8q u ]d-U u ]cbb u U fhg1a_p8m-5` 8qW]_UWg¢dWª1mUWU {h0| Dg«d S ]_mkbekLU u ]_mk u flkLfhm-U n b¬¦~}qWfhg n ]d-]_fhg % 6 -!)(d-fd S U®m%d u fhg1¢¯ n UWacbWpJ£]_g n UjkLUWg n UWg¢dm%dbe ]_a_]_d£p fh¥Lg1UW`1d u bla f uu Ujdb u n U n d£p&kLU n UWaÀbWp n ] !U u UWgJd-]cbla m-p&m%d-UWVmW*~ºf u Uk u UWqW]cm-UWaphªJfhg U n ]_m-k acbWp^m b0¥=blV]_ap fh¥L¬~ºmfh¥ ]_g q u Ublm-]_g1m-]_¶WUlª^Ublq S fh¥d S UWV UWg m-` u ]_g n UWacbWpJ£]_g n UjkUWg n UWg¢d*m-dbe ]_a_]d§ph RS U·Ujp u UWm-`1ad ]cm*d S bedWª u UWqW]k u fJqbla_a_phª d S Um%d u fhg1 n UWaÀbWpJ£]_g n UjkLUWg n UWgJd·m%dbe ]_ac]d£piUWg1m-` u UWm;d S bedd S U ¬¦~}Dm(b u U mfhalbea_UUjpfhg n bqWU u dbl]_g u blgs! R(S UoVbl]_g}] n Ub&ªsblm-U n fhgblg}]_Vk u fUWVXUWgJd(fh¥d S U U@rs]_m%d-]_g17d-]_VU@ n fhVbl]_g}VUjd S f n mWªsqWfhg1m-]_m%d-m(]_g`1m-]_g ^ª ]_g m%d-Ub n fh¥5d S U0`1m-` blam%dbed-U0lb u ]Àbe a_Ulª mb8 p 7 9'® :<;>= ? ¯ @BADCE=DC G Fhªd S U0bl`1hVXUWgJd-U n ªLg1fhg1VX]_g ]_Vblaªsm%dbed-U 7 9¦®':/;H= ¯>I@KJ5AHC>=LCµGFhª^¥Àf u m-fhVXUBJNMLOQPR7B%Fh( m-]_V]_acb u ] n Ub S blm*LUWUWgX`1mU n ]_g {^ªJ 1d-f0hUjdm-`$ qW]_UWgJd m%dbe]_a_]d§pqWfhg n ]d-]cfhg1mW 0¤¥¡qWfh` u m-Ulª1g1fldblgJpi¥=`1g1qjd-]_fhgi]_gid S Uog1Uj¨ m-dbed-Uom%kblqWUlª1UjUWg}m-$` qW]_UWgJd-apm-VXf&fld S ª1qblg LU7kb u dofh¥;bd u bBv%UWqjd-f u p fh¥d S U m%p^m%d-UWV `1g n U u m%d-` n pº¨ S UWg8JTS zhª¡blg n d S Um-`sk1ka_UWVXUWgJdb u pºqWfhg1m%d u bl]_g¢do]_m u UW]cg¢d u f n `1qWU n ¨ S UWg7UWm%d-]_V8bed-]_g1d S U n U u ]lbed-]_Ufh¥sd S Uqblg n ] n bed-U ¬¡p¢bek `1g1fB¢£ u blm-f^m%^]_]^¥À` g1qjd-]_fhg bla¡§d¦d-` u g1m fh`sd¦d S bed¦d S U ¬¦~}Dm¦¥Àfh`1g n &pod S ]_m¦VXUjd S f n qWfhg1m%d-]_d-`sd-U ! U& * * !' * VW&& +-!)(LqWfhg n ]d-]_fhg1m¥Àf u m%d u fhg1 n UWacbp¢ ]_g n UjkLUWg n UWgJdm%dbe ]_a_]_d£p¥Àf u acb u hU0UWg1fh`1 S lbla_` UWm(fhX¥ JDg1qW] n UWgJdbla_aphª d S ]_m(¥=` u g ]_m S UWmbVXUjd S f n ¥=f u q S UWq-^]_g1 m-qblacU n m-VblacaLbl]_g}qWfhg n ]_d-]_fhg1m(blm(d S U fhg1UWm n Ujk ]_qjd-U n &p 4 S UWg1(6 21 ª1&p`1m-Uofh¥5¬~ºm~f u UWfU u ª!d S U u U ]_m S flkLU d S bedd S U0VXUjd S f n qWfh`1a n LUhUWg1U u blac]_¶WU n d-ffld S U u¤u UWaÀbed-U n k u fl a_UWVXmªg blVXUWa_p}m%dbe ]_a_]_d£pfh¥*m%p^m%d-UWVXm ¨(]_d S g1fhg qWfhVXVXUWg1m-` u bed-U n UWaÀbWp^mWªQblg blap^m-]_m(fh¥RY[Z kLU u ¥=f u Vblg qWU0blg n fld S U u B\ f u º]_m]_gk u fh u UWmmfhgOd S UWm-U blm%kLUWqjd-mW Dgi[sUWqjd-]_fhgi{Jª&d S U(VUjd S f n ]_m*U@r^kLfhm-U n blg n d S U(V8bl]_g u UWm-` ad ]_m*m-dbed-U n ¥=f u bhUWg1U u bla n ]_m-q u Ujd-U]eqWfhgJd-]_g&`1fh`1m {B_ ^ m%p^m%d-UWV ® R(S UWf u UWV z?¯$Dgæ[^UWqjd-]_fhg ªd S U k u Uj^]_fh`1m u UWm`1ado]_mo`1m-U n d-fºq S b u blqjd-U u ]_¶WUXd S Um-d u fhg1 n UWacbp¢ ]_g n UjkLUWg n UWgJd m-dbe ]_a_]d§pæfh¥ n UWacbp n ] !U u UWg¢d-]Àbla·m%p&m-d-UWVXm¨(]d S fhg1U n UWacbp ® R(S UWf u UWV/{h¯$ g [^UWqjd-]_fhgµY^ª·fhg1U k u f^] n UWm7lb u ]_fh`1mbek1k a_]cqbed-]_fhg1 m Xd-f n UWacbWpJ£]_g n UjkLUWg n UWg¢d7m%dbe ]_a_]_d£p fh¥(m-p&m%d-UWVm ¨(]d S qWfhVXVXUWg1m` u bed-U n UWacbp&m ® RS UWf u UWV ¯$ªLd-f n UWacbWpJ£]_g n UjkLUWg n UWg¢dm%dbe ]_a_]c¶be ]_a_]d§pO® R(S UWf u UWV`h¯blg n d-f n UWacbWpJ£]_g n UjkLUWg n UWg¢d(m-dbe ]_a_]d§p}fh¥ m%p^m%d-UWVXm;¨]d S kLfhap&d-flk ]_q`1g1qWU u dbl]_g¢d-]cUWm® R(S UWf u UWV ¯$ , ]_g bla_a_phª^b7qWfhVk acUjd-Uk u fJfh¥¡fh¥ RS UWf u UWV zo]_m;h]UWg]_g [^UWqjd-]cfhD g J R(S U g1fldbed-]_fhg m(b u U m%dblg n b u n R a bª0 ced/bm%dblg n u UWm%kLUWqjd-]UWap¥Àf u d S Uo] n UWgJd-]d§pV8bed u ]rifh¥5m-]c¶W U f)blg n d S U g&`1a_a5Vbed u ]rfh¥m]_¶WQU gihDf³®m-]_Vkapºbe1 u Uj^]cbed-U n b ¨ S UW g gkjlf¯$ RS U7 u fhg1UWq-U u k u f n `1qjd¤]_m n UWg1fld-U n u S S m o n Np pRq ]_mVXUblgJd·d U mUjdfh¥qWfhVka_U@rg&`1V0LU m¨(]d g1fhg1g UWbed-]U u Ublakb u dWªblg n &sp r d S UqWa_fhm-U n `1g1]_d øø uñ t*vUw . .
(14) Y. + * & 3 !' / + !. n c] m% 7 DM p <C zFh R(S Um%kLUWqjd u `1VªQm-kUWqjd u bla u b n ]_`1moblg n V8b?r^]_V8bla.m-]_g1h`1aÀb u hbla_`1Ufh¥;bVbed u ]r ub U u UWm%kLUWqjd-]UWap n WU g fld-U n ® 4¯$ª ® ¯blg n acm-f^ªd S UXqWfhgev-`1bed-Uiblg n d u blg1mqWfhgev%` bed-Ufh¥ ª5b u U n UWg fld-U n Oblg n P * ¬blm%dWª&¥Àf u m%p^m%d-UWVXm*¨]d S b n UWaÀbWpsA &ª(9 n UWm-]_hg bed-UWm d S U¥=`1g1qjd-]_fhg 9®':(; ü¯$ª n Uj² g1U n fhg @KA 0 . .
(15).
(16).
(17) .
(18).
(19). .
(20).
(21). . . . . ! L # !"#$D^ *L%! L B 4+X- *5 o. $ m(]_g {eY1ªLz3 ª1d S Uo¥=fha_a_fB¨(]_g1 n ]_mq u Ujd-U]eqWfhg¢d-]cgJ`1fh` m{B_^,m%p^m%d-UWV ]_m(m%d-` n ]_U n 9 '® : X ¯ j K9 ®': ¯ ; 9 e®': ¯ 9 l'® : ; z?R ¯ j 9 '® : ¯ ; I9 e'® : ¯ Dgd S ]_m·mUWqjd-]_fhgLª . . . % & '. /. ?M8 b:9d/b;9 +. ( *). 0 *). ,+. '&. ( *). .-. /. 0 *) 0 . 21. '&. ( *). 43. 5/. ( *) 76. M8 b:9d/b:=. <-. lM>8 b:=(d/b:9. 71. ¥=f u qWU u d bl]_g f -f KMHO PB7BGFh m%p^Vk1d-fld-]_qm%dbe ]_a_]_d£p8fh¥®Dz?¯;]_m·UW©&`1]hbla_UWg¢d·d-f 3z ® ¢¯4MHp q h[r n Ujd a b@. M>8 b:= d/b?=. <3. 1 23 . "!$#. D® zBb¯ ®DzW!¯. . &@ A/. B DC: E. . C. <F. @G+. ;9. HI1. @ H j³N6 a b =X@:3KJML. ®£{h¯. D gXd S Um-UW©&`1UWaª¢¬¡p¢bek `1g1fB7d S UWf u p ¨(]_a_a&LU·`1m-U n w bed S U u d S blgd-f k u fBU·d S Um-dbe ]_a_]d§phª¢]d*¨]_a_a^]_gJd-U u UWg1U(blm b0h`1] n UWac]_g1Ulª¢]_g8f u n U u d-f²g n d S U¤b n UW©&` bed-UblachUj u bl]_q¬~º*qWfhg n ]d-]_fhg mW [^]_VX]_aÀb u ap ¨(]_d S d S Ud-UWq S g ]_©J` U(`1m-U n ]_g 0| ¥Àf u d S U7® n ]_mq u Ujd-U] n ]_m-q u Ujd-UB¯{B_^ m%p^m%d-UWVXm¨ u ]d%d-UWgblm w f&UWm-m-U u VXf n UWa_m {0 ªsfhg1U¤bed%d-UWVk1d-m;d-f ©J`b blg¢d/d-b ]_¥Àp d S UUjb fhac`sd/d-b ]_fhg fh¥(d S Uim-dbed-Ufh¥m%p^m%d-UWV®Dz?¯0&pæqWfhg1m] n U u ]_g ^ª*¥Àf u n Uj²g1]d-U8kfhm]d-]UiVbed u ]_qWUWm M ª M ªsd S U ©&` blgJd-]d£p Q. >8. ?=. PO. :=. R R. :. 9'&®':( *)¯ O 9A&®':0 *)¯ 5; 95/e®':( *) ;. z?¯. 95/e®':( *) ;. Q. z?¯#@89 e®': ¯ 5/. ( *). Q. ,8. 95/e®':0 *)D¯76. ;9. ;9. ® ¯. RS ]_m·U@r&k u UWm-m-]_fhg]cm·UW©J` blaQd-f 9 B'® : ¯ 9 ®': ¯ E; ¨(]d S j ® Y¢¯ 9 '® : ¯ 9 ®': ¯ 0b ; @ blg n d S U ¥=Ublm-] ]_ac]d£pfh¥d S U mfe£qbla_a_U n -$%! (. ! z3 j Sµ j Sµ 7¨ S U u U ]_mh]UWgº]_g ®Y¢¯ _® h¯ ]_m0]_g n UWU n m-5` qW]_UWgJdd-f S bWUO®£{h¯@ª.m-UWU z3 H"fB¨UjU u ª*d S ]_m ]cm ! (]_g)hUWg1U u blabºg1UWqWUWm-mb u p Wq fhg n ]d-]_fhgL RS U u Ublmfhg 3z Q]_md S bed_® h¯;]_m·UW©&`1]hbla_UWgJd·d-%f w U ® o¯ Xblg n VX]cg m-`1k ® X® a@ o¯ ; ¯ z F. '& /. ( *). UT. ( *) SJ. F. '&. T V:WEX. ( *). /. F. ( *) *J. +H'O. 4OY+. -Z'O. OY-. F. :9IJ. 1 Q. 3 Q [. 1. 1. 1 Q 3[ Q 3. 3. Q. J. . \ ]. O. ,O. . ^ Q. . ^ . _. +. abdcEefgihibdjlkdf. ¨ S U u Ublm®£{h¯;]cm·UW©J`1]_lbla_UWgJd·d-f w U ® o¯ Xblg n m-`sk +. Q. _. m*nrorq. T`_. T.
(22). D1.
(23). ® X® a@ o¯. 7 . DC. G+. &. Es. -. t3. S
(24) `s. -. ;t3¯S
(25) `s. & . _. & . _. P . mnporq. VX]_g. abdcefDguhvbdj(kdf. D1. DC. G+. RS U¤k u Uj^]_fh`1m·¥=f u V VbpiLU¤¨ u ]d%d-UWg}blmbB * )-! && 3 $%&!'-!'( . Es. w ]. &. z. P6. 5$%! (. ! z . ö ÷ø ö ù.
(26) -$%! (. !
(27) / !# * * ( * . 0o` u VUjd S f n ]_mblm-U n fhgblg ]_Vk u fUWVXUWgJd¦fh¥ d S Uk u Uj^]_fh`1m¦fhg1Ul 4 fhg1m-] n U u g1fB¨ ]cg1m%d-Ub n ªh¥=f u 9A&W®':( *)¯ 9'&®'0: *) ´ @ z?¯. . ®': ¯. & . . V:WX. j. 0 *). . . . . . V:WEX. j. 0 *). . . . ®°¯. 6. z?¯ RS U¤UWqjd-f u m ª b u ª b u UWm%kLUWqjd-]UWaph ,su fhV3®Dz?¯·fhg1U n U n 1` qWUWm;d S bed ®': ¯uj4®'a m ¤¯ ®': ¯ ; ®'a m ¯ ®': ¯ ®£|h¯ ; z?¯Rj4®'a m 0¯ ®': ¯ ; ®'a m ¯ '® : ¯ ®': R beU n Uj² g1]d-UkLfhm-]d-]UoV8bed u ]_qWUWm M b d b ª M b d b blg n U u ]_¥Àpd S bed®qWfhVkb u U¨(]d S ® ¯-¯ B®': ¯ ®': ¯ 5; e®': ; z?¯ e®': ; z?¯ @ ?'® : ¯ e'® : ¯ : ®': D¯
(28) ®'a m o¯ ; ®'a m o¯ '® a m ¯ j ®'a m ¯ b ®': D¯ ®'a m ¯ ®'a m ¯ '® a m ¯ '® a m ¯ '® : ¯ ; ®'a m ¯ ®'a m ¯6'® a m ¯ '® a m #¯ @ '® : ¯ 0og1U«]_ mb fhg1ap ]_g¢d-U u UWm%d-U n ]_g d S U m%dbe ]ca_]d£p fh¥0m-fhVUOm-kUWqW]Àbla¤d u bBv%UWqjd-f u ]_UWm}fh¥7m%p&m-d-UWV\®£|h¯]_g d S U«m%kblqWU b h od S fhmUX¥Àf u ¨ S ]_q S d S U u UXU@rs]_m% d 9 -9 m-`1q S d S bed®°¯ S fha n mW RS U UjpOkLfh]_gJdog1f¨ª]_mod S U¥=blqjd d S bedWª n `1Ud-f}®DzW!¯jª blg n b u UqWfhg1m%d u bl]_g U n Jpid S U ¥=fha_a_fB¨(]_g1 ] n UWgJd-]d§p ¯ j '® : ¯ ; 9 '® : <@ J ; z?¯ '® : X ¨ S U u U M b d b ª M b d/b b u U n Uj² g1U n &pi]_g n `1qjd-]_fhgi&p j a b j ®°¯ a b &. /. %. z?¯. . ®': D¯. / . 9A&®':0 *) @ J ; UoUWa_UWVXUWgJd-m(fh¥ 8 :b 9. 9 /e®':0 *)¯ 95/e®'(: *)<´ @ z?¯. . J[MHOBP 7BGFª. +. 0 *). /. :=. 8. 0 *). &. 9. R. &. R. O. 0 *). ;9. /. . +. +. 1. :=. N8. ;9. >8. /. ( *). :=. ?=. Q. 3. ab. B®': D¯ . :. &. 0 *). V:WX. j. V;WX. j. :9 . :=. V:WEX. := . =0J. O . ¨ S UuU . V:WEX. j. F. / . 3. j. . 3. . /. a b?=. B®': ¯ G; e®': &. ( *). a ;b 9. /. . b d/b :9. ( *). 6. ( *) J. /. F. j. b F. ;9. d/b. =. ;. z?¯. Q. b 3d . 6 b 9. e®': /. F. ®'a . ®'a . J. m. & 3. & s. :=. ?=. . J. . 1 =. d/b. ?=. ( *). ;. & . / . z?¯#@ e®': ¯ /. F. 0 *). s. b. m 3. 1. +. F. O. 4O. -. d/b 9 b:=3d/b:9 b:=3d/:b 9. . . . Q. . =. Q. Q. 9 /l®':0 *) @ J ;. O. 1. 3. Q. . z?¯. T. ?=. ;9. ?=. ;9. . SJ. 1. :=. 6@6@6. :9. F. : *)¯ & ®'0 9 /e®':0 *) @ J ;. z?¯. SJ. . -. J. :=. 1. . 3>1. ( *). ( *). 'O. 1. 1. ?®': ¯ /. ®': ¯. & . +. ® ¯ 6. ;9 J. b 3d/b b 3d/b b 3d/b n Uj²g1U n blm(]_g °® ¯jª1fhg1U S lb m j. . 9EJ. & 1. b 3d/b. b. & :9 s. . b 3d/b :=. . . ®'a m ¤¯ ; ®'a m o¯ ®'a m ¯ '® a m ¯ b ¯ '® a m ¯ '® a m 0¯ ®'a m ¯ m m ¯ '® a 0¯6®'a ¯ '® a m ¯ @
(29). . :=. . ;. øø ñut*vUw . ( *). &. F. J. ( *). s. F. j. T. Q. 3. /. 0og1U n U n `1qWUWmd S bedWª¥=f u blgJp8d u bBv-UWqjd-f u p}fh¥ ®Dz?¯;¨(]d S R. ( *). J. 3. Q. ( *). &. mblg}U@r1blVk acUlª. R. /. -. ?=. 3. b 3d/b. V:WEX. "&. F. Q. /. $&. j. ( *). A&l /. &. :/. ( *) 76. O. 'O. 1. ?=. 8. /. 4O. /. =. ( *). 1. Q. 3. O. =. >8. ( *) 0 . /. 3. /. -. Q. 1. Q. Q. 0 *). F. 0 *) SJ. /. F. 8. 0 *). 0 *). &. F. &. -. ( *). &. 9. 8. ( *). &. 1. O. 95/e®':0 *) @ J ;. Q. 3. 3. Q. J . F. a :b 9 . b d/b ;9. . ?= J. 6. ®DzB¯.
(30) . + * & 3 !' / + ! 0og1U*]_m S UWg qWU*g bed-` u blacapa_U n d-fm%d-` n pd S U.m-fha_lbe ]ca_]d£pfh¥&d S U.¥Àfhaca_f¨(]cg1;¬~ºmWª n Uj² g U n ¥Àf u blg¢p O . MN8. ; b 9d :b 9. Q. . . : b =. M>8 T. : b 9. M8. . d :b =. O . q b:=. . j,O S d ;b 9 q :b = . . ^ Q. j. . Q. Sµ^ . . T. . _. . ^ . * 3!# ,- 8®°¯l ® ¯l ®DzB¯76. J[MLOoP%7BGF. ®Dzhz ¯. R(S oU qblm-U J
(31) j z u U n `1qWUWm·d-fº®_h¯@ R(S U ¥=fha_a_fB¨(]_g1 u UWm`1adLd-UWa_a_m¡d S bed¡d S U m-fhahbe ]_ac]d£pfh¥ ®Dzhz ¯LUWqWfhVXUWm U 3 + &!)(d-f(d S U blm%p^Vk1d-fld-]_qm%dbe ]_a_]_d£p fh¥ ®Dz?¯;¨ S UWg Jihf&UWmd-fX]cgs² g1]d§ph ¹&¾ ¹
(32) !B .8À » ¢À ¹ ¾£¾ ¿=¢ ¹ ¹ ¾ ¾ ¼ » W ¹ æ ! !/.6$ 5$ 5 (. + * U 3% 6 &!)( 1 w 1#" * ( ®Dz?¯ * * $'( (. & * (+, 1 1 \. $1 % 1 &1 '1. ® ¢¯oMHp. B DC; E. q hNr . n Ujd. a b;9 @ @<I1 C. F. @ < a b?=o@. +. ® ¯ z !'
(33) MLr w U ® >; i®'a b w U ® o¯ !'³m`sk ® X® a b u@ ¤¯ _. 3. +. +. . _. D1. DC. ;-. ;9. G+. @G:3¯. ¯ 51 ¯ (z 1. ?=. Es. &. L. ;43 -. mnpo?q. &. s. _. 1. _. * ( * J[MLO PB7BGF * 5& ( (0®Dzhz ¯ * * , 1 * ( * J P MLO PK7BG F * $& ( ()( !) J EJ P (®Dzhz ¯ * * , 1. . B . j³$1. ;3KJ. *. R(S UWf u UWV,zh]UWmb·¥=f u VblaJblg bla_fhh`1Ulªl¥Àf u n ]_m-q u Ujd-U]eqWfhgJd-]_g&`1fh`1m5{B_^´m%p&m-d-UWVXmWªed-fd S U.UW©&`1]hbla_UWg1qWU5LUjd£¨;UWUWg Sd Um%kLUWqjd u blaQq S b u blqjd-U u ]_¶bed-]_fhgfh¥¦d S U blm%p^Vk1d-fld-]_q m-dbe ]_a_]d§p8fh¥ 9Nj 9ª M b$d/b MHp q n Ujd® 3a b @ o¯ j³ blg n d S U m-fhahbe ]_ac]d£pfh¥¦d S Uo¬¡p¢bek `1g1fB]_g1UW©&` bed-]_fhg + lM b5d/b j Sµ ; R(S UWf u UWV z¥=` u g1]cm S UWm*b ¥FblVX]_a_p7fh¥Q¬¦~}.q u ]_d-U u ]cb&ª^fh¥Qb u ]d u b u p0k u UWqW]_m-]_fhgL RS U(k u UWqW]_m]_fhgXVbpUUWm%d-]_Vb? nd-U blm(¥Àfha_acf¨(mW2 0og1U¤VbWpq S UWq¥ u fhV d S U¤k u f&fh¥¡fh¥ RS UWf u UWV zhªsd S bed(b m5` qW]_UWgJd·qWfhg n ]d-]_fhg¥=f u m-fhahbe ]_ac]d£p fh¥ ®Dzhz ¯;]cm w U ® ¤¯ Xblg n m`sk ® 3a b u@ o¯ ; I z ¨ S U u UblmWª `1m]_g1 qWfhg n ]d-]cfhgY^ fh¥ R(S UWf u UWV zhª m-dbe ]_a_]d§pibek1kLUb u md-fLUoUW©J`1]_lbla_UWgJd·d-f w U ® ¤¯ Xblg n -, a_]_V Z m-`1k ® 3a b u@ o¯ ; s j³ q RS ]_mqWfhg m%d-]d-`sd-UWm b8¨·bWpfh¥bek1k u fr^]cVbed-]_g1d S U m%d u `1qjd-` u U n m-]cg1h`1acb u lblac`1UWm¨(]d S u UWm%kLUWqjdd-ffhg U0qWfhVka_U@r `1g qWU u dbl]_gJd£p {l , f u b0m-]_VX]_aÀb u u UWm-` ad¥=f u d S Um%d u `1qjd-` u U n m]_g1h`1acb u lblac`1UWm·blm-m-f&qW]cbed-U n d-f n ]_m-q u Ujd-Um%p^m%d-UWVXmWª m-UWU 0 % +. B C. O. >8. . O. . G+. . ,O. _. +. DC. 1. ^ +. DC. 9. 8. > . L. O. +. _. tOU+. G+. Es. :9. G+. &. -. N6. . 43. _. [ . mnpo q. +. _. . 1. DC. Es. &. -. t3. . >6. mnpo q. ö ÷ø ö ù.
(34) |. -$%! (. !
(35) / !# * * ( *. ¡ 4¦ L.L- 3 (7 1L ,+ #. $ + i + 1"#%& + #-./+X L-#O 1 23 RS UWf u UWV z]_mbek1k a_]_U n S U u U¤d-fd S U ¥=fha_a_fB¨(]_g1 n UWacbp n ] !!U u UWg¢d-]cblaLm-p&m%d-UWV} 9¦'® :%¯ @ 9¦'® : @ AR ¯ j K9®':-¯ ; 9®': @ A ¯ ®Dz?{h¯ ` M b$d/b RS ]_m¤]_m b n UWacbp n ] !!U u UWgJd-]cbla5UW©&` bed-]_fhg fh¥g1UW`sd u bla5d§pJkLU ¨ S UWg jx&ª¡fh¥ u Ujdb u n U n d£p&kU ¨ S UWg j³& RS U blm%p^Vk1d-fld-]_qm%dbe ]_a_]_d£p8fh¥5m%p^m%d-UWV3®Dz?{h¯]_m·UW©&`1]hbla_UWg¢d·d-f ^ª!{l0 a b @ @ ®
(36) ; ¯ MHp q n Ujd j @
(37) a b a b @ RS U0g1fld-]cfhgOfh¥ & "!'3 $%&!'-!'( * (+3,- ./ .(. S blmLUWUWgO]_g¢d u f n ` qWU n ®m-UWU z?{^ªz ª5zY 5¥=f uou Ujdb u n U n m%p^m%d-UWVXmWª ^ª¡z?|&ª{l ¡¥=f u g1UW`sd u blaLm%p&m-d-UWVXm$)¯ *&p n Uj² g1]d-]_fhgQª^m-p&m%d-UWV ®Dz?{h¯·]_m ®F¨;Ube^aps¯ n UWacbWpJ£]_g n UjkUWg n UWg¢d-a_pm%dbe a_Uo]c¥ a b @ @ ®
(38) ; ¯ A µ MHp q n Ujd j @
(39) a b a b @ f u UW©J`1]_lbla_UWgJd-ap ® ¯ zblg n A µ MLp q n Ujd® '® a b @ 7#¯ @ E@ ¯ j ^¤UWacbp¢£]cg n UjkLUWg n UWgJdm%dbe ]_ac]d£pifh¥¦m-p&m%d-UWV ®Dz?{h¯·VbpiLU¤k u fU n d-fLUoUW©&`1]hbla_UWgJd·d-f ^ªLzB ® 7¯ zblg n ® ¢4¯ MHp q hNr j f u Kj³ j z
(40) n Ujd® ¢'® a b @ 7¯ @ @ ¯ j³ xm-a_]_ S d-apm%d u fhg1hU u k u flkU u d£pºVbp}LU0]cg¢d u f n `1qWU n ª!blmo]_g zB 5¥Àf u¤u Ujdb u n U n d§pJkLU7m%p^m%d-UWVX m (m-p&m%d-UWV ®Dz?{h¯]_m qbla_acU n * ('- !/./ n UWacbp¢£]cg n UjkLUWg n UWgJd-apm%dbea_Uo]_¥ ® 7¯ z7blg n ® ¢o¯ MHp q hNr n UjdB® ¢'® a b @ ¯ @ @ ¯ j³ 4 a_Ub u aphªsd S ]cmbek1kLUb u m(blmb7k!b u d-]_qW`1acb u qblmU fh¥5m%p&m-d-UWV3®Dz?¯jª1fl1dbl]cg1U n &p u UjkacblqW]_g1 Jp ; -a b ®Dz ¯ u UWm-kUWqjd-]_UWaph RS U¤hb u ]cbea_UWm 9 '® : ¯$ª 9 ?'® : ¯(b u Uod S UWg}q S blg1hU n ]_g¢d-f 9¦'® :%#¯ @ 9¦'® : @ A¯$ª 9¦'® : @ A¯$ 0og1UVbWp m S fB¨ Ublm-]_ap±blmX]_g ·¥Àf u m-p&m%d-UWVmXfh¥ u Ujdb u n U n d£p&kLUlª d S bedd S Uim-d u fhg1 n UWacbp¢£]cg n UjkLUWg n UWgJd m%dbe]_a_]d§p0]_m bok u flkLU u d£p u fl ` m%d5¨(]d S u UWm-kUWqjd.d-f kU u d-` u bed-]_fhg m¦fh¥!d S U(Vbed u ]_qWUWm Xª&¨ S U u Ublm*d S U n UWacbp¢ ]_g n UjkLUWg n UWgJdXm%dbe ]_a_]_d£p´]_mg fldW g n UWU n ª]_gs²g1]d-UWap±qWa_fhm-U)®]cg d S Um-UWg1m-Ufh¥od S U n ]_m%dblg1qWU]_g n `1qWU n Jp´d S U Vb?rs]_Vbla;m-]cg1h`1acb u lblac`1U8fhg d S U8k u f n `1qjd0m%k!blqWUfh¥d S Uid u ]ka_Ujd-m8® 7¯%¯7d-f blgJpæm%p^m%d-UWV ¥=`1a² aca_]_g1d S U ¨;Ube k u flkLU u d§p `sdg fldd S Uim%d u fhg1fhg1Ulª5d S U u U8U@r^]_m-d0`1g1m-dbe a_UXm%p^m%d-UWVXm~ºf u Uk u UWqW]_m-UWaphª¦d S UmUjd7fh¥;d S U d u ]_k a_Ujd-m qWf uu UWm%kLfhg n ]_g ¤d-f0m%d u fhg1hap n UWacbp¢£]cg n UjkLUWg n UWgJd-ap0m-p&m%d-UWVm]cm*d S U "!)( fh¥Qd S U(m-Ujd;fh¥d S U(d u ]k a_Ujd-m qWf u-u UWm%kLfhg n ]_g17d-f}®F¨;Ube^aps¯ n UWacbWpJ£]_g n UjkUWg n UWg¢d-a_pm%dbe a_Uom-p&m%d-UWVmW UWg1U u bla_]_¶bed-]cfhg1mfh¥d S U8¬Qp¢bek `1g f VXUjd S f n d-f n UWacbWp n ] !U u UWgJd-]cbla*UW©&` bed-]_fhg1m S bWU8LUWUWg k u flkLfhm-U n 8g u kb d-]_qW`1acb u ª¦bqWacblm-m0fh¥©&` b n u bed-]_q¬Qp¢bek ` g1fJ£ u blm-fB&m-&]_] ¥À`1g qjd-]_fhg bla_m zB^ª¦ S blmoLUWUWg ` m-U n Ub u ap ¥=f u d S ]_m k ` u kLfhm-Ulª1bl¥cd-U u ¨·b u n mhUWg1U u bla_]c¶WU n d-fXg1UW`sd u blad£p&kUm%p&m-d-UWVXm {J3z ¡` g n U u d S Uo¥=f u V '® 9 §#¯ j4'® 9¦'® :%#¯ @ 9¦'® : @ A ¯%¯ X'® 9¦'® :%#¯ @ 9¦'® : @ A¯%¯ ; 9 ® = ¯ 9¦ ® = ¯ = ®DzY¢¯ d(]_m u UWV8b u lbea_U¤d S bedWªbla_fhg d S U¤d u bBv-UWqjd-f u ]_UWmfh¥ ®Dz?{h¯jª '® 9 §¯ 9¦'® :%¯ @ 9'® :#@ A¯ ; X® ; ¯ j 9'® :#@ A¯ ® ; ¯ b :. 9'® :-¯ @ 9¦'® :#@ A ¯ ;. @ 9'® : @ A ¯ øø uñ t*vUw !. %. +Z E-K . %. ,+. -. . 8. L. B C. B . _. . _. . . ^ B C. NB >. G+. /. G+. . +. -. s m. C. L. rs m. G+. ^ E. DC. . DC. . N+Y +. -K . . L. J. rs m. DC. 6. L. J. s m. +Z E-[ 017 3. ( *). -. s m. C. B DC; E. '&. +. s m. F. ^ B C. (C. _. C. . B DC: E. . F. -. . G+. N6. L. +. ;-. L. ;-. L. N6. 6. . ( *). "+Z E-K . +Z E-K . . O. . R. . R. F. J. . FHF. +. +. O. . 4OU+ -. O. +. Q. . R G6. s. .-. 'O. J. Q. F. Y Q. Q. U Q. Q. JHJ. F. J. .
(41) . + * & 3 !' / + !. m-f0d S U`1m-U(fh¥Qd S ]_m qWaÀblm-mfh¥L¬¡p¢bek `1g1fB¢£ u blm-f^m%^]_]!¥À`1g qjd-]_fhg bla_m*acUb n mU@r1blqjd-apXd-f0d S UmblVXU¬~º®_h¯*¨]d S d S U q S fh]_qWU®Dz ¯j k1k ac]_qbed-]_fhgfh¥ RS UWf u UWV zo¨(]d S d S U q S blg1hUX®Dz ¯h]UWmd S U ¥Àfhaca_f¨(]cg1 u UWm-`1adW ¹&¾ ¹ * ('- !/. & !' $%-!#-!)( * (+,& (. * * ( ®Dz?{h¯2 * U3 + &!)( ( ! 2( "2 !/.. $-5$% 5(. + * 1. ® ¢¯oMHp. 1. 1. \. n Ujd. q hNr . B DC; E. w. J[MLO PB7BGF. * ( *. O . T. . M>8 T. V:WX. j. . . $1. F V:WX. j. V:WX. j. &. b5d q. * ! ,- . * ( * J P. 0b. . J. Q. V:WEX. j. j,O. O . * & * +,& . Sµ^ . . +. F. 'O. Q. j . 4O. Q. +. 4-. F. j. F. s. ab. &. . b$d . 8. J. & s. & s. * $& ( ()(. ®'a m ® b a b b5d/b F. . _. . ;. +. . J. ®Dz ¯. ^ . ¯%¯ -. J. . . . M>8 $b d b. & s .J. b. b. . J. T. O . O. Q. Sµ^ . . +. Q. . V:WX. MLO PK7BGF. . Q. . ®'a m ¯ . L. ®'a m ¤¯ ; ®'a m ¤¯ '® a m ® ; ¯%¯ ¯ '® a m 7 '® a m 7¯ ® a m ¯ @ ' M b$d/b
(42). . . a b . M>8 $b d b . b$d/b. . . b. &. Q. ; &. Q. ab F. j³51 J. * 5& ( ( ( u "2 !/.. M>8 5b d b. &. q. @ ®+ ;.- ¯ a b @. a b @G+ @<a b C. F. !) J. EJ P ( ®Dz . . 6. ¯ * * , 1 *. w UWqbla_a_]_g ;d S U*blg blap^m-]_mLqWfhg n `1qjd-U n ]_g[^UWqjd-]cfhg0{Jªefhg U*m-UWUWmLd S bedm%p&m-d-UWV ®Dz?{h¯]_m¡m%d u fhg1hap n UWacbp¢£]_g n UjkLUWg n UWgJd-ap m%dbea_U !' !'/ ]_dkLfhm-m-UWmm-UWmWª¥=f u bqWU u dbl]_gsJNMLO P 7BGFª!b¤©J` b n u bed-]_q¬Qp¢bek `1g fJ£ u blm-fB&m%^]_]^¥=`1g1qjd-]_fhg bla°ª hbla_] n ¥=f u ! ! ! ! . (. 6 Q ) ( HA &ª fh¥¦d S U ¥=f u VL . 9®':-¯ @ 9®':#@ A ¯ 9®': @ A¯ @ 9¦®':#@æ{A . . ¯. 9®': @ _® J@´z?¯-A¯#@ 9®': @ J5A. . 9®':-¯ @ 9®': @ A ¯ 9®': @ A¯ @ 9¦®': @±{A. O . . . . ¯. z?¯-A¯#@ 9®':#@ J5A ¯ 9 ® = ¯ 9® = ¯ 9 ® = @ A¯ 9¦® = @ A ¯ ; = . . 9 ® =
(43) @µ_® J@´z?-¯ A ¯ 9¦® = @ ®_J@ z?¯-A¯ ¨ S U u U b u U8kfhm]d-]U n Uj²g1]d-UXVbed u ]_qWUWm ¥ u fhV b5d b ®qWfhVkb u U8¨(]d S ®DzY¢¯¯$Oa_mf^ª5]c¥m-p&m%d-UWV/®Dz?{h¯ ]_m®F¨Ube^ap1¯ n UWacbWpJ£]_g n UjkUWg n UWg¢d-a_pm%dbe a_Ulªs`sd n f&UWm·g1fldkLfhm-m-UWm-mbX¬Qp¢bek `1g fJ£ u blm-fB&m%^]_]L¥=`1g1qjd-]_fhgblaLfh¥¡d S U k u Uj&]_fh` m·d£p&kLU ¥Àf u bXqWU u dbl]cgDJNM O PB7BGFhª!d S UWg}]_g1² g1]d-UWm-]cVbla!kb u blVXUjd u ]cqokLU u d-` u bed-]cfhg1m·VbeU]_d`1g1m%dbe acU ¥=f u m-fhVXUQA µ& , f u m%p^m%d-UWVXm.fh¥ u Ujdb u n U n d§pJkLU¤® lj³¯$ªJfhg1U·V8bWp m S f¨ Vf u U;k u UWqW]_mUWap d S be d j § b$d/b a b ª n u u u u S S S S blg d bedd U ¥=Ublm-]]_a_]d§pfh¥o®Dz ¯;]_Vk ac]_UWmd UomblVXUok flkLU d£p¥Àf d U blgsH J ; zhª m-UWU Y ¯. 9®': @ _® J@. . . Q. . [O. Q. R . s. 8. . ö ÷ø ö ù.
(44) -$%! (. !
(45) / !# * * ( * . ¬Ujd(`1mh]_Ubg&`1VXU u ]_qblaLU@r1blVk acUofh¥`sd-]ca_]_¶bed-]_fhgfh¥ RS UWf u UWV {J 4 fhg1m-] n U u d S UoVbed u ]cqWUWm @Y z zB ü| @ @{ Y z z @( ü{ z ü{ z @ z @ ô @oz ô z ô z z { ü| @{ ô j z @ozB @| @ ô @ ÓY lj @( @ @( ÓY | ü{ z @B @| ü|. | ô ô ÓY. ü| @( | ô @( z @| ü{ @| z z @oz?{ Y ÓY @| 0¤g Uom%d-` n ]_UWm;d S U m%d u fhg1 n UWacbWpJ£]_g n UjkLUWg n UWg¢d·m%dbe ]ca_]d£pifh¥¦d S Uom%p^m%d-UWV 9Lj 9¦'® :%¯ ; 9®':#@ A¯ ®DzB¯ ¥=f u hb u ]_fh`1m·hbla_`1UWm(fh¥¡d S U u UblaLkb u blVUjd-U u 0og1Uq S UWq-^md S bed w U ® o¯ &ªJm-f0m%p&m-d-UWV ®DzB¯ ]_m blm%p^Vk1d-fld-]_qblacapm%dbe a_U¥=f u j³&*a_m-f^ª&m-`sk 7 µl ® E; ¯ Hp#q jGF j4 z?|h{lD (¥=f u d S ]cm(hbla_`1Ulªm%p^m%d-UWV ®DzB¯]cm(`1g1m-dbe a_U ¨ S UWgA j4& 0¤g U ¨(]_m S UWmd-f u S S UWm%d-]cVbed-U d UoaÀb hUWm%d S Xm-`1q d S bed®DzB¯·]cmm%d u fhg1ha_p n UWaÀbWpJ£]_g n UjkLUWg n UWgJd-apm-dbe a_Ul RS ]_m;lblac`1Ulª n UWg1fld-U n Ziª ]_m·qWfhVk`sd-U n blg blap&d-]_qbla_a_piblm ^6. $6. ^6. :6. :6. :6. ^6. 6. ^6. $6. ^6. $6. $6. :6. $6. $6. +. ^6 $6. ^6. ^6. H-. ^6. ^6. 6. ^6. $6. :6. :6. $6. ^6. $6. $6. :6. 6. -. 6. ^6. $6. . t. ^6. Z. V:WX. j. F. m-`1 k ®%®
(46) #a4@ o¯ ¯ . G+. &. s. -. n. s. &. zBlY¢| ^6. J. 6. d S U aÀb u hUWm%d(hbla_`1Uofh¥n ±UWg1m-` u ]_g1 m-fhahbe ]_ac]d£pifh¥ ®Dz ¯;]_g RS UWf u UWV n {Jª ¨]d S RS UoqWfhVk `sdbed-]_fhg m(b u Ublq S ]_UjU &pd S U k!blq-hblhU"!$#&%(')'* 60¤g1U¤²g m j³ zYh + j, j³ zBlY¢| d(qWfhVXUWm¥ u fhV d S U¤k u f&fh¥fh¥ RS UWf u UWV {0d S bedd S U Vb u h]_g m- b u U g1flda_UWm-m;d S blg . j ® 3a @ ¤¯ Z 0/ ^¤UWg1fld-U. 6. ^6. _. +. -. :6 6. % +. +. $6. . . &. ^6. ^ . . /. &. ^6. 6@6@6. & s. 6. -. u Ujk acblqWU n Jp -. . V;WX. . RS UWm-UoqWfhg1m%dblgJd-mV8bWpLUoqWfhVk `sd-U n blm . j³ ô Jz?| + . ^6. &. 4. $ . /. . DC. +. zhzY¢| 1 . j. ^6. $ . &. s. j. -. z &z +2.3Kj zY z ^6. : . ^6. 6@6@6. 5 #. Uk u UWm-UWgJd]_gd S U mUW©J`1UWaQd S u UWUo]_VXVU n ]cbed-U bek1k ac]_qbed-]_fhg1m;fh¥ R S WU f u UWV {J. \. 687:9 ;=<?>A@CB:D0BE< FHG2IKJMLNDO>PFQ"F8Q<?LNRSQUTVBE<XWZY*GR[R[LN\]Q&^8_X>A<?L`JMLNDO>PFQ. RS U¤k u Uj^]_fh`1m u UWm-` ad·]_m S U u oU hUWg U u lb a_]_¶WU n d-fXd S U ¥=fha_a_f¨]_g17qWacblm-m(fh¥¦m%p^m%d-UWVXm. a c a c b c b c 9I@ 9¦®': @fe'A¯Rj 9¦®': @he A¯ ®Dz?|h¯ d dg b5d/b jeXj ki( RS U ] n Ub8d-f S blg n a_U7m%p&m-d-UWV ®Dz?|h¯jª¡]_md-fd u blg m-¥Àf u V ]do]_g¢d-f}b. c c. %. %. +. . &. ¨ S U u Ui M O blg n M g1Uj¨ª bl`1hVXUWgJd-U n ª%m p^m%d-UWV S bW^]_g1Xb`1g ]_©J` U n UWaÀbWph~f u Uok u UWqW]_m-UWaphª n Uj²g1]_g1 9'® :-¯ 9¦'® :#@ A ¯ '® :-¯ j . 9'® : @ E® i @´z?-¯ A¯ ml&nporqjst Ñüì1СêçòòQìFé$êíèÀîLÐçò@ÿBðBÑüì=è°çF*Ñ
(47) eóBè°ò%ð îLÑÓè°ëÑÓè£ì1ìFé@ó?ç°ûòQûéðBò@ÿWìFòDòè°ë?òëeé$Ï·#ò lÐ) @òLÐ-èPuwvxv@ÕNy{zxzj|x|x|Ù$Ø }w~^ßÖ-ÝWØBÖ$Ú^ßÀãjØ zxx~jÖ$ÛWÚ$à z øø uñ t*vUw +. . 8. . ^ . 9. V:WX. .
(48) zB. + * & 3 !' / + !. fhg1UVbWp u Uj¨ u ]d-Um%p^m%d-UWV ®Dz?|h¯(blm g '® :-¯ @ ¨ S UuU c c %. . bc a dg. V;WX. j. c. m. . +. abc c c m d
(49) Xfld S U u ¨(]_mU. c bc a a m g j a a b @ dg M a d a
(50) jz]c¥ ; Bz j. V;WX. . j. . ®': @ i A R¯ j ®':%¯ ; ®': @ i A ¯ %. &. . s. . +. >8. d S bed]_m ® g ]_m·]_gJU u d-] a_UB¯. V:WX. . V:WX. . . . abc a c d. V:WX. j. . &. &. '). s. . c. ®DzBhb¯ m. . . &. ; . ®DzBe!¯. . '® :-¯ @ g ®': @ i A ¯Rj g ®':%¯ ; g ®': @ ioA¯ ®Dz¯ d.]_m¦qWa_Ub u d S bed5d S Ud u bBv-UWqjd-f u ]_UWm.fh¥1m%p^m%d-UWV ®Dz?|h¯¦VbpLUfl1dbl]_g1U n blm¦k u f?v-UWqjd-]_fhg1m5fh¥ mfhVXUd u bBv%UWqjd-f u ]_UWm.fh¥ m%p^m%d-UWV3®Dz¯ blm%p^Vk1d-fld-]_q¤m%dbe ]ca_]d£p8fh¥o®Dz¯ S UWg1qWUo]_VXk a_]_UWmblm%p&VXk1d-fld-]_qom%dbe ]ca_]d£p8fh¥o®Dz?|h¯j.dd-` u g1m·fh`sd;d S bed m%d u fhg1 n UWacbp¢£]cg n UjkLUWg n UWgJdm-dbe ]_a_]d§pfh¥X®Dz¯o]_m ]_g n UWU n % + -!)(¤d-fºm%d u fhg1 n UWaÀbWpJ£]_g n UjkLUWg n UWgJd¤m%dbe ]_a_]_d£p fh¥ ®Dz?|h¯W RS ]_m·acUb n m·d-fd S Uo¥=fha_a_fB¨(]_g1 u UWm`1adW ¹&¾ ¹ * ('- !/. & !' $%-!#-!)( * (+,& (. * * ( ®Dz?|h2 ¯ * U3 + &!)( ( ! 2( "2 !/. &. %. s. %. &. &. s. &. s. 6. $-5$% 5(. + * 1. ® ¢¯oMHp. 1. q hNr (. B DC; E. w. . n Ujd 1 \. . T. T. j. F. ; $& &. $1. . F V:WX. j. V:WX. j. . ab. V:WX. . a. ab. &. s. . &. V:WX. . . F. . s. s. . O . &. s. &. s. &. . s. * & * +,& Sµ^ . . Q. j. . &. . &. DC. &. s. &. @. &. 6. L. Sµ^ . . T. . _. ®£{l ¯. ^ . J. &. &. s. &. Q. &. . s. F. J . . &. s. . J. &. &. J. . 6. EJ P ( ®£{l. !) J. a @¯#j g &. ®'a m g ® g ; ;¯%¯ ab a b b$d/b. O . O . . >8. s. ¯ * * , 1 . . G. . &. s. . UWf u UWV3{Xd-fm%p^m%d-UWV D® z¯@a ªQ]_d $¯·blg n}n Ujd® '® a a b @ g &. Q. +. . s. . . s. . &. * $& ( ()(. 4O & s &. . Q. &. . &. s. . &. >8. J. 'O . &. s. . a g @¯Rj g ® g s. &. s. . . F. MLO PK7BGF. . . a b$d a b. Q. Q. F. u bek k ap^]_g1 RS n S ]_g«zh ¨(]d jU dB®'a a b @ a g @.
(51). . 4 3- 1¤¥cd-U. ®'a a b. M>8. . . &. q. J. V:WX. . * ( * J P. j,O. . Q. m. . Q. @. . . ab. abc c c j³ dg. &. a b * #! ,& b5d/b ®'a m g ¯ ; ®'a m g X ¯ ®'a m g ® g ;;¯%¯ ®'a m g $¯ g $¯ ®'a m g $¯ ®'a m g $¯ @ g M a b5d a b j a a b a b5d a b j M a b$d a b a b . . ®'a . C. L. * 5& ( ( ( u "2 !/.. . a b$d. &. q. . . a b. . &. a. M>8 . ab @. J[MLO PB7BGF b$d O M>8. * ( *. . b c a c c abc c c j³ !# n Ujd ab @. d d. *. u UWV8bl]_g1md-fiqWfhVXkb u U7d S U0d£¨;f n Ujd-U u VX]_gblg¢d-m¤h]UWg @¯ @ g @ a g ;¯ u UWm-kUWqjd-]_UWaph60¤g1U S blm & s. &. . &. a. s. a b @. &. &. c abc c a a c ® ; ¯m d . &. . s. . s. . . 6. ö ÷ø ö ù.
(52) zhz. -$%! (. !
(53) / !# * * ( *. n Uj² g1UXblg n blm¥=fha_a_fB¨(m j^E® i;¯ j . j ® ki;4¯ M a d a
(54) j ®
(55) ¢¯. RS Uog1U@r&da_UWVXVb ]_m;k u fU n Ublm-]_aph
(56) u "2 !/.Bc ) c * ('*) ( !) c e j cki ¹ æ c ; a a j n ]Àbl5 7 ® ¢¯ ® a J¯ F f¨ª¥=f u blg¢p.
(57) M p;ª. . =. V:WX. . N8. . s. V:WEX. . &. s. . &. s. 6. ^ . . . s. . . ;. @6@6@6 . &. s. . s. & 6. *. R(S U¤Ujpkfh]cg¢d]_m;d S bedXblg n n fg1fld n UjkLUWg n `1kfhg e§60¤g U n U n `1qWUWm¥ u fhV ¬UWVXVb Y^ª1d S bed n Ujd g n Ujd®'a a b. @. c c a a g ¯#j n Ujd ® m a b^¯ a a bQ@ b c n À] bl57 ® ¢¯ ac b c a c c d c n Ujd a b @ ® ¢¯ j d d g &. s. . &. . . @6@6@6 . &. @ . . a g $¯ @ g s. &. s. &. s. &. @ . a g ·¯#j. ac . s. &. & s. dg. n Ujd. . ab @. C. abc c c c ® J¯ d. ® s. @. abc c c c ® ¢¯ dg. . . &. j. . B DC: E. m a b^¯ &. 6. zhª1d S Uok u UWqWU n c] g1 ¥Àf u V7`1acblUom S f¨ d S bed zh ]_m % 6 -!)(;d-f ® J¯oMHp q hNr n Ujd?®'a a b @ a g $¯ j³blg n³n UjdB® ¢®'a a b @ a g $¯ @ g R S ]_m;kLU u VX]d-md-fqWfhg qWa_` n Ud S Uok u fJfh¥¦fh¥ RS UWf u UWV m . F m. . c. &. 0¤g Uom S f¨mm-]_VX]cacb u apd S bed DC. ;. &. &. s. n Ujd® ¢®'a a b. . ® a J¯. c. . . s. &. &. DC. L. . s. &. &. &. s. @ . +. 6. a g ·¯ ³ j s. 687 h LNDO>(FwB:\MJML LN\]J8LN\<VQ"<?>@]B0D:B(>@CB:D:BO< F. &. L. N6. hf V RS UWf u UWV { fhg U n U n `1qWUWm n ] u UWqjd-apd S U¥Àfhaca_f¨(]cg1 u UWm`1adWªJfhgm%d u fhg1 n UWaÀbWpJ£]_g n UjkLUWg n UWgJd m%dbe]_a_]_¶be ]ca_]d£p fh¥ n UWaÀbWpm%p^m%d-UWVXm&pm%dbed-]_q fh`1d%k `sd(¥=UWU n blq([^]_V]_acb u;u UWm-`1a_d-mVbWpLU fl1dbl]cg1U n ¥=f u n p^g blVX]_qo¥=UWU n blq}fh¥ h]UWgf u n U u R^¤Ujd-UWqjdbe ]ca_]d£pVbpU¤d u Ubed-U n blm¨;UWa_a ¹&¾ ¹ ! * ( 5$%&! 3-$ * * ( 9[@ 9'® : @ AR ¯ j g 9'® :-¯ ; U9¦'® : @ A ¯ ; ¦'® :%¯ "!!'® :-R¯ j g 9¦'® :%¯ ; 9¦®': @ A ¯ ®£{Jz?¯ g M b$d/b M b5d$# g M &% d/b ( f ' )(QMLO PR7B% F(1 * ( * * (+ (. & ($ (% , &+* ¦'® :%
(58) ¯ j-, !'® :%¯ &! * %5 "!G. * (' !G.1 !' $ -!'&!)( * (+,& (. - ( &)) * $G !' "!/.W&2 * 235$ * * ( !#L !) ( * (.,kM #/d % !' J[MLO Pe7BG F( & ( u !/. * * , 1 b$d b M j j Sµ Sµ ,su. %. +. +. & . %. 8. ,+. E-. . 8. 01. 01. &. -. >8. 0 . 21. ' . 1<&. E. >8. O. øø ñut*vUw . 4+U&. Q. >8. O. ,O. . ^ Q. Q. . ^ . T. _. . Y . .
(59) z?{. + * & 3 !' / + !. (. ,& . -! .( "!G.[+ T. V:WEX. j. . "&. j. F V:WEX. j. V:WEX. j. ;. , 1 g ( -. b5d/b. ab F. g +. . ®'a 7¯ . b . Q. V;WX. j. V:WEX. j. . j. , 1<& ( ( . #;. +Y&. -. . (' T. . M 8 . +. F. O. 4O. +. +. -. O. b5d q. &. q. ;. +. b. &. * ! . ¤¯%¯ -. AO. J. Q. . m. ab. J. V;WX. ®'a m ¯ ; ®'a m o¯ ®'a m ® '® a m ® ; ¤¯%¯ b a b b$d/b '® a m 7¯ m m '® a ¯ 7¯ @ '® a M b5d/b
(60). . . Q. ; $&. V:WX. Q. F. s. a b. &. >8. J. . b$d F. & s. Q. & s. F. J. . J. . . b. b. M>8 5b d b. & s. J. 6. *. 687 h LNDO>(FwB:\MJML LN\]J8LN\<VQ"c <?>@]c B0D:BE<FSG IKQ"FQ"<?LNRSQ TVBE<XW GDEF <?G ]B0Y ^M\]Y*LP_?<?>$B:\<XBOLNQ 0¤g UoqWfhg1m-] n U u m S U u Ulª ¥=f u ²srsU n M b$d/b ªNe j z k i ª1d S UoqWfhgJU@rºqWacblm-mfh¥¦d S Uom-p&m%d-UWVm®Dz?{h¯·m`1q S d S eb d c a c c c a c b b c c ® ¯4M ® ¯
(61) C C³z j z ®£h{ {h¯ d d +. E-. N8. : . +Z E-. +. E-. : . &. 6. &. m¥=f u d S Ui² g1]d-U@ n ]cVXUWg1m-]_fhgbla*m%p^m%d-UWVXmWªb¨·bWp±d-f UWg1m-` u Ud S Um%dbe]_a_]d§p fh¥bla_ad S Uik u Uj^]_fh`1m7m%p^m%d-UWVXm ]_m d-f U@r S ]]d b«qWfhVVXfhg´¬Qp¢bek ` g1fJ£ u blm-fB&m-&]_]·¥=`1g1qjd-]cfhg bla R(S ]_m7a_Ub n m d-f d S U¥=fha_a_fB¨(]_g1 u UWm-`1a_dWª*¨ S fhm-U u UWm] n ` bla;qWfhg1m-U u lbed-]_mV ]_m n ` Uifhg apæd-f d S UVXUjd S f n fh¥m-]_V7`1adblg1UWfh`1mm-dbe ]_a_]d§pæ]d-mUWa_¥®°blm8]_m d S U}qblm-Uº¥Àf u ² g ]d-U@ n ]_VXUWg m-]_fhg bla!m%p^m%d-UWVXm$¯$ ¹&¾ ¹ "
(62) $$G * ( * ( JNMLOsPX7?G F !' $G * (. + (' & * M b5d b * 5& ( ()( e j z ki ( c c c c c
(63) '® a m a b b$d/b ¯ c ; c '® a m ¯ '® a m ® ; ¯%¯ j '® a m ® ; ¯%¯ b a b b5d/b '® a m ¯ ; m m m ®'a 7¯ ®'a 7¯ ®'a 7¯#@ . O. Q. >8. : . V:WX. T. F. . +. F. J. 'O. O. +. +. 4-. O. Q. Q. Q. . "&. j. V;WX. j. ab. b. . . V:WX. j. F. V;WX. j. . F. &. s. ab. M>8 $b d/b. . J. b5d . Q. & s. &. s. . b. b. s. _. F. J. J. . & J. M>8 5b d b. R(S U k u f&fh¥.k u f&qWUWU n m n ] u UWqjd-apº¥ u fhV d S U u UWVb u ºd S bedWª¥=f u blg¢p«q S fh]cqWUfh¥ blm n Uj² g U n ]_g RS UWf u UWV { ]_m·m-`1q S d S bed T. . j. bc a d. c c. &. T. . . _. . . 6. &! ( ( * * ( ®Dz?{h¯ .( & ! * (' "!)( ®£{h{h¯ * * (' !/. & !' $%-!#-!)( * (+, 1 . T. V;WX. -. J. Q. F. $&. +. AO. j. ®. . *. & @6@6@6p . . a ¯¤blm ]_g ®£{h{h¯jª. . N6. (R S Um%dbec ]_ac]d£p)fh¥¤m%p^m%d-UWV6®Dz?{h¯jª®£{h{h¯ ¥=f u blgJp±g fhg1g1UWbed-]Uhbla_`1Ufh¥ A´]_mXblacm-f UWg1m-` u U n ¨ S UWg d S UqWfe U qW]cUWg¢d-m b u Ud-]_VU@ n UjkLUWg n UWgJd®UlÓ^m%dbed-U@ n UjkUWg n UWg¢d$¯$ R f}k u fUXd S ]_m ¥FblqjdWª5m S f¨xd S U n UWq u UblmU8bla_fhg1 d S Uid u bBv-UWqj d-f u ]_UWm fh¥(d S U8©&` b n u bed-]_q¬¡p¢bek `1g1fB¢£ u blm-f^m%^]_];¥À`1g qjd-]_fhg bla qWfhg m%d u `1qjd-U n ¨(]d S ª ª blg n `1m-U ¬¡p¢bek `1g1fB¢£ u blm-f^m%^]_]Ld S UWf u p zB ;[&kLUWqW]cblaqb u U S blm(d-fLUdbeUWgO¥=f u g1UW`sd u blaLm-p&m%d-UWVmWª m-UWU ö ÷ø ö ù O. Q.
(64) z. -$%! (. !
(65) / !# * * ( *. ( * 2 . RS UUW©&`1]hbla_UWg1qWULUjd£¨;UWUWg zhª{Jª blg n Y^1]_m^g1f¨g z ª blg n d S U¤]_Vk ac]_qbed-]_fhg8& J 1]cmm-d u bl]_ S d-¥Àf u ¨·b u n 0¤g U¤¨(]_a_am S fB¨ d S bedBJ]_Vk a_]cUWm ª!blg n d S UWgd S bed(Y^ ]_Vk a_]_UWm;&. 7:9 _XG G2I+G2I+<?WMLB:R ] D0B:Y*>A<XBOG \=7. 7. . 4 fhg m-] n U u ² u %m d·d S bed·d S U ¥=Ublm-]]_a_]d§pfh¥ ®Dzhz ¯]_Vk ac]_UWmd S bed. P b *d/b j ®'a m ¯ ®'a m ¯ @ j
(66) S ba b d/b ab -m f ¥=`1a² aca_mb}® n ]_m-q u Ujd-U@°d-]cVXUB¯¬Qp¢bek ` g1fUW©&` bed-]_fhgLª blg n ® ¯ zh ^¤Uj² g U0g1fB¨ ª¥=f u blg¢p [Mp blg n ¥=f u J M O Pe7BGF7d S UV8bed u ]_qWUWm ® ¢¯KM
(67) ® ¢¯ M b q b d/b Jp ;9. F. T. ?=. =. ;9. F. J. :=. =. . J. Q. 3. Q. 3. [3. . >8. :=. . ;9. . V;WX. j. . &. . ab 9 a b:9 . ® ¢¯. . RS UWgLª. . . s. ab F. &. . ab. j. . 9. d/b 9.
(68) ® ¢¯Rj. =. . . J. . . b 9. . V:WEX. . /. . ab = a b:= . ® ¢¯ . . blg n ª1`1m-]_g1®°¯WªQ® ¯@ª. . &. . F. &. s. V:WEX. j. . Q. . F. . /. ® ¢¯ ®'a b o@ ¯ . &. . ª ® ¢¯KM. ; b 9d/b;9 8. ?=. ;3. & s. 8. : b =. d/b:=. ª. 6. 1UJ. =. ® J¯. .
(69) ® J¯ . ab. @. 3. _. 3. :9. Q. ,3. ® ¢¯ . &. ;. . &. ®'a@ ¯. . . G:3. & s. 1. J. ® J¯ ; ®'aQ@ ¯ '® a@ ¯ j ®'a@ ¯ 0¤g U¤d S UWgk u fBUWm&p]_g n `1qjd-]cfhg8d S bed ab b d/b
(70) ® ¢¯Xj ab ® ¢¯ m a ®'a b @ ¯ ,1u fhV d S Um-fhahbe ]_a_]d§pfh¥®Dzhz ¯ fhg1U S UWg1qWU n U n `1qWUWmd S bedWªs¥=f u blgJp MHp m-`1q S d S bedoae@ ]_m]_gJU u d-] acUlª
(71) S
(72) ® ¢¯ P
(73) ® ¢¯ P
(74) '® a m o¯ ; ®'a m o¯ ®'a m ¯
(75) ab j. ® ¢¯ a m ®'aQ@ ¯ ®'a m ¯ b '® a m ¯ '® a m ¯ ab '® a m ¯ '® a m ¯ ; ® J¯ '® a m ¯ '® a m ¯ a m ®'a@ ¯ '® a m ¯ '® a m ¯ @ P ®'a m ® >; i®'aQ@ ¯ ¯%¯ P ; ®'a m ® >; i®'a@ ¯ ¯%¯ ® ¢¯ j ® J¯ ; ®Dz @ ¯ '® a m '® a@ ¯ ¯ ® J¯ P '® a m '® a@ ¯ 0¯ ® ¢¯ j4® ; i'® a@ ¯ 0¯ P ® ¢¯ P ® ¢¯ ; ® ¢¯ P ® ¢¯@® W; i'® a @ ¯ 0¯ ; ®Dz @ ¯ ® ¢¯@'® a
(76) @ ¯ e P ® ¢¯@'® aQ@ ¯ Dgkb u d-]cqW`1acb u ªs]_¥ %C³z®°blg n d S UWLg aQ@ ]_gJU u d-] a_UB¯$ª^d S ]cm;p&]_UWa n m ® ; i'® a@ ¯ ¯ P ® ¢¯ P ® ¢¯ ; ® ¢¯ P ® ¢¯@® W; i'® aQ@ ¯ ¯ md S U7Vbed u ] r ® ¢¯ P ® J¯]_mkLfhm-]d-]U n Uj² g1]_d-Ulªfhg1U n U n `1qWUWmd S bedo¥=f u blgJp im-`1q S d S bed C zhª Sd U¤Vbed u ]r ; i'® a @ ¯ 4¥=`1a² aca_m b7¬Qp¢bek ` g1fiUW©J` bed-]cfhgLªsm-f w U ® ; i'® a @ ¯ 0¯ & RS ]cm blq S ]_UjUWmd S U¤k u f&fh¥fh¥¦d S Uo]cVk a_]_qbed-]cfhLg J øø uñ t*vUw . ® ¢¯. ;. . &. . . . :9. F. &. :3. ;9. s. 1. s. F. ?=. . J. F. &. &. s. & . . &. s. . :3. s. ;9. . :3. :=. s &. &. s. 1. :3. &. &. s. 1. 1. . &. J. 6. . T. . F. . :3. &. s. +. :3. :3. ;-. . 3. ;-. /. . :3. /. s. &. 1. . /. s. &. Es. &. :3. &. ;-. O. -. +. O. Q. 4O. /. . &. . ;-. :3. O. Es. . &. &. &. s. 1. &. G:3. +. . J. :9. F. :3. . -. :=. J. Q. &. O. O. 3. 3. 1. Q. 1. 4O. G:3. 1. &. s. . &. 1UJ. 1. . &. . &. +. s. ;-. :3. &. s. 1. 6. :3. ;-. +. &. 'O. Q. . &. . &. ;3. s. 1. . +. 1 Q. 1. . +. F. 1. Q. 3. . &. 17J. Q. 1. F. +. :3. . 9. &. 6. J. s. . &. 1. O. ;3. . &. s. &. O. &. . &. . O. &. . +. ;-. . &. 1. :3. s. &. . +. ;-. ;3. _. 1. s. &. 1. _. N6. [ .
(77) zY. + * & 3 !' / + !. 7 _XG G2I+G2I+<?WMLB:R ] D0B:Y*>A<XBOG \H6M7. 0og1U¤². 7. u m%d·d u blg1m-¥=f u VXm·qWfhg n _] d-]_fhgY^*d(]_m;¨;UWa_a°^g1f¨(gd S bedWª¥=f u blg¢pm-©&` b u U V8bed u ]r ® ¯ z -, a_]_V Z j a_-]_Vµ m s ` k z , Z. ª. N
(78). _.
(79).
(80). q. .
(81). q. _. . F® ¨ S U u Ud S UmUWqWfhg n WU ©J`1]_lbla_UWg qWU]_m5fl1dbl]cg1U n ` m-]_g1(d S U;¥=blqjd5d S bed5d S UVbed u ]r7g1f u V ]_g n `1qWU n &p d S U;UW`1qWa_] n ]cblg g1f u V ]_m·m-`sV0`1a_d-]k _a ]_qbed-]_UB¯$ 0¤g U S UWg1qWU n U n `1qWUWm·d S bedqWfhg n ]d-]_fhgY^ ]_m(]_g n UWU n % 6 -!)(d-f w U ® o¯ Xblg n m-`sk a_]_V m-`1k X® a b @ ¤¯ ; I z ®£{ ¯ -, Z _. +. . 1. q. m*nro q. DC. G+. ;9. &. Es. -. _. . 43. 6. d u blg1m-¥=f u VXm ®Dzhz ¯$X^¤UjUWa_flk]_g1 d S Uo² u m%d·d-U u V ]cg a_Ub n md-fd S Uo] n UWgJd-]d§p ab b d/b ®'a m o¯ ;³®'a m o¯ ®'a m ¯ a b b *d/b '® a m ¯ b ®%'® a m ¤¯ ; '® a m ¯ ¯ ; ®%'® a m o¯ ; ®'a m ¯ ¯ ®'a m ¯ j ®%'® a m ¯ ¯ b \ u ]_d%d-UWg`1g n U u d S ]_m.¥=f u Vª¢fhg1U·V8bWpXbek1k ap7bla_Vblgsbe&`sLfB&]_q S t flkLfa_UWVXVb7® u Ujk u f n `1qWU n ]_gk1kLUWg n ]r ¯ d-f}®Dzhz ¯@ªsdbe^]_g1]_g¢d-fXblqWqWfh` g¢dd S Uo¥=blqjdd S bed ®%'® a m o¯ ; '® a m ¯ R¯ j ® o¯ >p Pop q u^UWg fld-]_g1 0og1Uog1f¨. ;9. F. ;9. . ?=. +. F. J. AO. +. -. +. F. T. -. O. -. AO. 4O. +. -. ;9. F. J. =. ;9. :=. J. -. O. -. O. . +. 6. J. ?=. +. -. ® e¯ j® 3a b @ ®'a m o¯ @ ®'a m ¯ ¯ b * VW&& +-!)(¤®]_g n WU U n UW©J`1]_lbla_UWgJd$¯qWfhg n ]_d-]_fhg¥Àf u -m fhahbe ]_a_]d§p8fh¥o®Dzhz ¯·bek1kLUb u md-fLU + j Sµ MHp q 7k
(82) F n Ujd® 3a b @ ®'a m ¤¯#@ ®'a m ¯ ¯ j³Xblg n
(83) P ®'a m 0¯ '® a m 0¯ '® a m ¯ ab b d/b ® e¯@®'a m ¯ '® a m ¯ ®'a m ¯ '® a m ¯ '® a m ¯ '® a m ¯ @ ab ¨ S U u U d S U n fld]cg«d S U u blqUjd-m S blm¤d-f}U u Ujk acblqWU n &pd S Uacblm%dod£¨;f}Vbed u ]_qWUWmW RS U7]cg¢d u f n `1qjd-]cfhgOfh¥d S U ]_g1² g1]d-U hbla_`1U
(84) VXUblg1m0d S bed0d S Ui{eg n ]_g1UW©&` bla_]d§pO]cg d S Uk u Uj^]_fh`1m¥=f u V7`1acb S blmd-f u UWVbl]_g)d u `1Uibed0d S U a_]cVX]d5¨ S UWg M
(85) ·ª
(86) [^]_Vka_]² qbed-]_fhg m¡p^]_UWa n + j S M p q 7k
(87) F n Ujd® 3a b @ o¯ j³ blg n 0¯ ®'a m ¯ ;X®'a m ¯@® ®'a m ¯ ; ¯ P ®'a m ¯ ®'a m ¯ ;®'a m ¯@® ®'a m ¯ ; ¯ '® a m ¯ ; P '® a m ¯ ; ¬Ujd(`1mm]_Vk a_]c¥cpd S UWmU U@r&k u UWm-m-]_fhg mW ,su fhV ®°¯jª¡® ¯@ª1fhg1U hUjd-m(d S bed m ¯ @ '® a ® e¯#j 3a b @ '® a m ¤#¯ @ '® a m ¯ b d b a b X@ '® a m ¯ ® 3a b @ ¤¯ j b d b ® 3a b X@ o¯ m ¯ '® a '® a m ¯ j RS ]_m;kLU u VX]d-md-fUWm-dbe a_]_m S d S bed ; ¯ ®'a m ¯ j '® a m ¯ ® X® a b @ ¤¯ ® 3a b u@ o¯ ö ÷ø ö ù . Q. 6. Q. 1. F. 1. . j. . 3. Q. Q. 3. Q. " dC^. -. J. 3. Q. -. DC. C. F. F. s. s. F. -. ;9. &. s. ;9. s. s. & ;9 -. &. & 3. s. -. F. s. &. J. DC. s. & 1. DC. s. s. &. -. DC. s. 9. & D1. G+. DC. s. DC. -. s. &. C. ;9. s. G+. &. +. s. -. +. s. &. -. +. L. -. -. J. ;9 &. :9. 3. &. ;9. &. J. : . Q. -. s G+. :9. =. ^ B C. . _. -. . 6. J. s. -. &. DC. F. -. &. s. & ;9. s. &. ?=. -. +. &. ;9. 1. _. & ;9. s. Q. . L. :9. F. &. s. -. 3. Q. 3. -. +. :9. 1. 1. +. :9. DC. 1. Q. -. DC. : . Q. ;8. V:WX. DC. ^ B C. . [C. ®'a m. O. 'O. 43. J. . & 1. s. "6. J. &. .
(88) z. -$%! (. !
Documents relatifs
Dans chaque ville et pour toutes les lignes de tramway considérées, il faudrait disposer des trafics avant et après ouverture d’une ligne et de plusieurs projections d’évolution
Le fait d’écrire à partir d’une oeuvre d’art visuelle ressemble à une forme de contrainte; nous croyons par ailleurs que cette pratique a eu un effet durable sur l’écriture
variables d'ordre psychologique: soit f.amiliale ou personnelle, soit so- ciale, soit professionnelle, soit une combinaison de ces facteurs. Ce patient a récupéré
For the two coolest objects in Figure 3.6, HD 4539 and PG 1716+426, both at Ta < 27, 000 K, there is a good match between the predicted synthetic spectra and the FUSE data: the
lui inculquer le registre li'lquistioue, les l1abitudes alimen- taires et vestimentaires ainsi que le comportement des bour- geois de Québec. Pierrette Paul doit
La conciliation emploi-famille : des mesures à développer dans les milieux de travail Tableau 4 : Les dispositions favorisant la conciliation travailfamille dans les
Figure 2.4 Predicted (continuous lines) and observed values (filled circles: stands aged from trees with root collar; open circles: stands aged from trees without root collar)
Cette posture permet de dégager deux idées centrales : le poids des milieux professionnels locaux dans l’intermédiation et le transit des idées, modèles et pratiques
