On the practical computation of one point in each connected component of a semi-algebraic set defined by a polynomial system of equations and non-strict inequalities
19
0
0
Texte intégral
(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. On the practical computation of one point in each connected component of a semi-algebraic set defined by a polynomial system of equations and non-strict inequalities Colas Le Guernic — Mohab Safey El Din. N° 5079 Janvier 2004. ISSN 0249-6399. ISRN INRIA/RR--5079--FR+ENG. THÈME 2. apport de recherche.
(3)
(4)
(5)
(6)
(7) !"# $
(8) % &$$' !($") *
(9) +,$ .-/
(10) 0 132 4
(11) 0 5+,6#'67$' 298
(12) !:8;(
(13) <+=8;+,$ $>?&
(14) :( +@
(15) &' (;-A+,, B # $>C
(16) 0 D $+ EGFIHKJML NOQP&RBOTSVUBWYX[Z\*F^] J`_baJ/cdOfehgiHkj WYU l3mAno?pq(r s tuwvxp yxz|{}vx~ vxpy p ~|yx~ Ay, ToG`z}yxvAp %z p:iI6 |A`z} $wp p~.mAp ~.mApuM%f|r }|uf¡vpkq|}¢Gr £¤"A|{}p ¥ ¦ §:¨¤©«ª/¬|¨f s v¡}p u®`z}yTuAz}o?v¯yx0°}±:²V³V³V³ ²D°´²µ±D²V³V³V³ ²µ|¶0vu[·¸º¹±²V³³V³²¹9»«¼Y½ ¾p;~z}uA vxAp mAp; po?vÀ¿ |yx{|pA|vx~i p $ÁÂAp ÃAuAp`Ä °}±ÆÅdzV³V³ÅÈ°«´ÅbÉ µ±ÊhɲV³V³V³:²µ|¶ÊËÉ |uAÌÍzT~wkz}u&ÎmApAz|Ayxp o@z|Ì%~z|oCAÎvxuw{CÏypV|ÐÏz}uwp(`z}vxufvxu&pV|~.m~z}uAuwp~ p!~ z}oC`z}uAp ufÏz|Ì ÁÏÑ Ò[p ÃA ?ÐÎAw[mAz¤¾)z!z}yÀ¡}p ÎmwvxGA z}AypoÓf[~z}uA vxAp vuA{ÔÁ|GÎmwpAuAvxz|uÕz|Ìz}ywÎvz}uAG p Î9z|Ì Iz|yTuAz}o?v¯|y/ÐT Îp oC3zÌBp /Îvz}uA|uA v~ 3vuAp/|yvvxp|uwAzT~p p ÎzGmApi~ z}oCwyxp:ÖvÀ×;u/|yT vx z|Ì6mApCwuAAp yTvxuw{|y{}z} vÎmwoÑ9l3mAp u=½ ¾pCvoCA z¤¡}p9ÎmAvAAz}|~.m[fQAz¤¡Tvxuw{&m/~z}o?AwvxuA{& yxp| ;z}uAp`z}vuCvxuØpV|~.m*~ z}uAuAp ~ Îp *~z}o?`z}uApuf;z|Ì Á#~|u `pAz}uwpÔfØ~ z}oCwwÎvuA{[ yxp| ;z}uAp Iz|vxuf3vxup|~.m&~z}uAuwp~ p&~z}o?`z}uApuf$z|ÌBp|y=yx{}p AÎ|v~ip:Î$Ap:Ã/uAp&f;¡|uAvmAvuA{GÎmwp Iz}yÀTuAz}o?v¯|y °f±:²V³³V³²D°«´&|uAØ z}o?pz|ÌÏÎmAp&Iz|yTuAz}o?v¯|y(µ±D²V³V³V³ ²µ|¶DÑ*l3mwp~z|oCAyp:Öv×Õ|u/|yÀ vx9mwz«¾$CÎm/9mAvx y¯ Îp 3|AA zf|~.m vxIp:Îp 3Îm/|u mAp ÌÍz}o?pz}uApÑÙBvxu/|yy|½¾p0Ap p uz}w3vxo?Ayxp oCp uÎÎvz}uC|uA Ap v3z? z}y¡|p|u&|AAyvx~VÎvxz|u vxu& Îp uÚ~.mAvxuA{wÑ ÛÜfÝ^Þ ßGà ©áB§ Bz}yÀuwz}oCvx|y^ÐT Îp oC ½`p|y=z|yxwvxz}uA ½AuAz}uT¿× v~ $vxuwp/|yvÎvp. Unité de recherche INRIA Rocquencourt Domaine de Voluceau, Rocquencourt, BP 105, 78153 Le Chesnay Cedex (France) Téléphone : +33 1 39 63 55 11 — Télécopie : +33 1 39 63 53 30.
(17) C @:56
(18) 0 6'×
(19) +) ! 9)
(20) !(+
(21) 9 ; ' ×& +,$ D-A
(22) 0 1 32 >C '67Õ
(23) +=8;+= $ !D8
(24) 0 ' $>?
(25) 0:( +)6)'× 31(
(26) 0 D $+
(27) 1$+
(28) §
(29) z}vxp uf°f±:²V³³V³ ².°´|² µT±D²³V³V³:²µ|´ /|uA,·(¸ ¹±²V³³V³²¹9»¼K½«~ z}uAvAt z}uA,y p uAp oGAyxp% po?vÀ¿×|yx{}t AvAp ÁÂAt Ã/uwv,/|Ä °}±ÆÅdzV³V³².°´ÅbÉ µ±ÊhɲV³V³V³:²µ|¶ÊËÉ kz|pAz}wyxno?p pÐAp&~V|y~AypC|Øo?z}vxuwCAuIz|vxuf;A|C~ z}o?Iz}|ufÎp~z}uAuwp:ÖpÔAp&ÁÏÑbpA z¿ Ayxn oCpkIp w :ÎpÏt z}yx;pu~z|uAvAt|uf3y AuAvz}u;ApÏy puA poGAypÏAp 3z}ywÎvz}uAApiAyAvpA ÐÐÎn oCp t/vxz}uA;p vxuwt{f|yvtÐÎv~ p Ñ z}A o?z}ufÎ z}uA pu Ì vV½3vyk 9ApÔ~ z}uA vxAt pypCpu¿ p oGAyxp Cwp z}yxwvxz}uw"ApwyxA vxpw? T no?p; t TAÎvz}uA?Iz}yÀTuAz}o?v¯|ypÑ<p:po?t mAzwp AuAp oCp vxyyxpwp ~z|oCAyp:Övt0Twp(y¯"A t~ tAp up|ÑkÙ vxuA|yxp oCp uuAz|Akwt pufÎp z}uwiAuApvxo?Ayxt oCp uÎÎvz}uAp y |yx{|z}vÀÎmAo?pkp:AuAp|AAyvx~Îvz}u| / Îp u&o;~.mAvxuw{AÑ à ¨¤§ Þ ¬
(30) § TT În oCp k`z}yÀuwz}oCvx|ÖI½wz}yxÎvxz|uA6t pyyxp !½ ×uAt{}|yxvÀÎty¯| {}p.
(31) 9 , B?' & Bz}yÀTuAz}o?v¯|yÆ TÐÎpo?9z|Ì$p/Îvxz|uA9|uAÕvuAp/|yvvxp|A`pVGvxu®oC|ufQÃ/pyAGyxv21|p ~ z}o?AwÎp "|vAp Ap vx{}u^½/vx{|u/|y^mApz}Ð}½/ z}IzÎvx~ ½/uA /p uoCÎ~.mwvxuA{A4Ñ 3Ïp~ vxAvuA{"ÎmAp0po?wvxuAp ½MuA ~z}o?AwvxuA{ yxpV z}uAp9`z}vxufvxuQpV|~.m ~z}uwuAp~:ÎpÕ~ z}o?Iz}uwpufz|ÌmApC z}yxÎvxz|uQ p z|Ì6 A~.m®ÐÐÎp oCvx0~z}uwp:¿ ApufÎyÀ ÌÍAuAA|oCp uf.|y3yx{}z} vmAoCv~"Az|Ayxp oÓvxu[6p 5Ip~ v¡|p& pV|y|yx{|pA|vx~C{}pz}o?p |Ñ l3mAv"/|`p Az|Iz} pu 879, ( yx{}z} vmAo5~z|oCAÎvxuw{®Cyxp| ;z}uAp`z}vuCvxuØpV|~.m*~ z}uAuAp ~ Îp *~z}o?`z}uApuf z|Ìkp oCv ¿d|y{}pwÎ|v~? p "wp Ã/uAp ®`z}yTuAz}o?v¯y% T po5z|Ì$p /Îvz}uA"uA & (' *)+ , vxuAp /|yxv ¿ ÎvpÑÒ[pAp p uÏvkvoCAypo?puf.Îvxz|u|uA|AAyÀv$ÎzC9Az}wyxpo@~ z}o?vxuA{"ÌÍz|o#/ Îp uoCÎ~.mwvxuA{ ¾$mAvx~.mvx ½/AzCz}w: 1uAz¤¾$ypA{}p½MvxufÎ|~ Î|Ayxp f ÎmwpzÎmAp kpDÖwv vxuA{9vxo?Aypo?puf.vxz}uw6ApVyxvxuw{G¾$vÎm p oCv ¿d|y{}pA|vx~kp:ÎÑ Ü ª¨ Ü á ßGà <© ;,§ l3mwpA z}Aypo#z|Ì4~z}o?AwvxuA{?yxp| z}uwp`z}vxufvxu p|~.mÔ~z|uAuAp~:Îp Ô~z}o?`z}uApuf z|Ì Gpo?vÀ¿×|yx{|pA|vx~p:kwp Ã/uAp f "`z}yTuAz|oCvx|yM T po@z|Ìp/Îvxz|uA|uA & (' *)+ , vxuAp TA|yxvÀÎvxp vx0uAz|`p~ vÃ/~|yxyÀ!|wAp p ®vxu ÎmwpCyvÎp ÎAp½vxuw~p9v~Vu[`p?uA|v¡|pyÔpwA~p [Îz ÎmAp?A z}Ayxp o z|Ìk~z}o?AwvxuA{Q9ypV|Ð9z}uAp Iz|vxuf9vxu pV~.m~ z}uAuAp ~ Îp Ø~ z}oC`z}uAp ufCzÌÏ p ¡}p Î|y$ po?vÀ¿dyx{}p AÎ|v~; p Î Ap ÃAuAp `z}yÀuwz}oCvx|y` T po?kz|ÌBp/Îvxz|uA$|uA *)+ , vuAp/|yvvxp Ñ ¾$vAp Ap|Ô|y{}z} vÎmwoÎ 1vxuA{C|$vxuAwwk?`z}yTuAz|oCvx|yIÐT Îp o zÌ p TAÎvz}uAk|uA&vxuAp TA|yxvÀÎvxp |uA~ z}oCwwÎvuA{G6yxpV 6z|uApi`z}vxufvxu p|~.m ~z}uAuwp~ p ~z|oC`z}uAp u6z|Ì,ÎmApÏz}ywÎvz}u; p 3z|Ì,mAp vxuwAw T po vx6mAp¾pyyÀ=¿ 1Tuwz«¾$u&~ TyvxuAA vx~|y,|y{}pA|vx~ wp~z|oC`z}vÀÎvz}u |yx{|z}vÀÎmAoAAp0Îz;z}yxyvxuA6|uA&mAvx ~z}yy¯|`z}Îz} ? > pAp @À£«q B CDÑ C~ z}oCwyxp:ÖvÀ×Õvx9Az}wAyÕpDÖIz}uwpufÎvx|y$vxu ÎmAp&uAoG`p9z|ÌÏ¡| v¯|wyxp9z|Ì ÎmAp9ÐÎAAvp `z}yTuAz}o?v¯yÌ oCvy}½^|uA!Îmwp"Ip vxo?Ayxp oCp uf.vxz}uAz|ÌÆÎmwvx0|y{}z}vÀÎmAo | pGyxvoCvÀÎp Îz uAz}u¿KÎ v¡Tv¯|yIAz|Ayxp oC3m/V¡Tvxuw{?yp $m/|Eu DG¡|v¯Ayxp Ñ TvxuA~ pÎmAp6×¾z0y¯|Ð%Ap ~V|Ap ½p:¡}p Î|yM|y{}z} vÎmwoC¾$vm9ivxuw{}yxpp:ÖIz|uApufÎvx|ywmApz} p vx~Vyw~z|oCAyp:Ö¿ v×vxumAp"uAoG`pizÌ%¡|v¯Ayxp Ïm/V¡}p"`pp u Az}`z} pF > p?p @ £ G½B£¤w½,q½,T½ Gw½^w½,q¢ B CDÑ0l3mAp p9¾z}H 1T ~AyoCvu/p¾$vÀÎmmApGp AyÀÎkz|JÌ I6| =½,Bz|yxy¯!~ 1 |uA $z«|½^A z¤¡vAp!vuÔ;wuAvÃ/p Ô¾6VvxKu @ £¤L BY½I¾$mwpp ÎmAp~z}o?AyxpDÖv×0z|ÌM~ z}oCwwÎvuA{i yxp| Bz}uAp6`z}vuBvxu(pV|~.m"~ z}uAuAp ~ Îp "~z}o?`z}uApuf%zÌMÏp oCv ¿d|y{}pwÎ|v~ p:GAp:Ã/uAp[ &Iz}yÀTuAz}o?v¯|yB T po z|Ì6p TAÎvz}uA|uA[ÐÎ vx~ vxuwp/|yvÎvpivwp~z|oC`z}p [vuz ~z}o(Avxu/Îz} v¯|y Ì ~ Îz|(|uw®|u[|yx{}p AÎvx~9z}uApÑ&Úz} (z|Ì6mAp;ÌÍz}p oCp uvxz}uwp®yx{}z} vmAoCÏpyÀ z}u® {}pz|oCp:Îv~V|yBp AyÀ0|yxyz¤¾$vxuA{;zp AA~p"mAp9~V| p"z|Ì6 `z}yÀuwz}oCvx|y T po z|Ìp TAÎvz}uA0|uA ÐÎv~ vxuAp /|yxvÀÎvpÏz mAp9~z}o?AwÎÎvz}u!z|Ì0yxp| 0z|uAp9Iz}vuf0vxu!pV~.m[~z|uAuAp~:Îp [~z|oC`z}uAp u0zÌ p ¡}p Î|y p|yM|yx{|pA|vx~6¡| vxp vxp %Ap Ã/uwp;f9`z}yTuAz|oCvx|ywÐÐÎp oCƾ$vmC~ zp C~ vxp uvu? M
(32) N O )+ ! QPRS# Ñ Ò[p0 p~Vyxy=uAz¤¾0½MmAz¤¾bz9ApV|y=¾$vÀÎmÎmwvx3 p=Ñ T à VU ,¨¤ªw<¨ W $à X Zà Y $à XÜ U à W X [ ¨ W X Ü ª/¬ \#¬ $à X]XÜ ¬|¨ Ü á#¬ à AU $à X
(33) Ü X ¨ Zà Y ªÇ© Ü ª C!ª 8^ Ü ¦©«(ª W ¬Â§ Ü ¨ _ wÎvo;|y=|yx{}z|vmAo?6~z}o?AwvxuA{?kyxp| z}uwp`z}vxufvxu&pV~.m~z|uAuAp~:Îp !~z}o?Iz|uApufz|Ì%?p|y|yx{}pD¿ AÎvx~ p:k|p /pz}uÎmAp0~ vvx~|yI`z}vu$o?p mAzT=Ñ%l3mAvx3~ z}uA vx $vxu ~z}o?AwvxuA{GmAp0~ vÎv~V|y`yxzT~w½ AwIz} p;z`ap ` )!'b# % $ ½|z|Ì,0o;AAvxuw{A½|¾$mAv~.m;vxÆ AA`z}p ;Îzp|~.m v%p:ÖTÎ poCz}u?pV~.m ~z}uwuAp~:Îp~z}o?`z}uApufz|ÌÎmAp0ÐÎAAvp&p|y,|y{}pA|vx~Ïp Ñ l3mwvx;o?p mAzTØvx?A p*vxcu @À£ GT½k£Vw½6q½d½ G½½6qL¢ Bkz[z}wÎ|vxuØ|yx{|z}vÀÎmAo?G¾$mAvx~.mËp&Iz}yÀTuAz¿ oCvx|y%vxu®e I6t fz}wп×yNv 1|pCIz|AuA=Ñ kp:¡}pÐÎmAp yxp ½ÆÎzApVy¾$vÀÎm®uAz|u¿×~ z}oCA|~ (|uA®uwz}u¿× oCzTz|m[~Vp z}o?p9vxuwÃAuAvpvo;yxiuA[yx{}p AÎ|v~GoC|uAvxwAy¯vxz}uwi| p?vufÎzTAA~ p |uA ÎmAp:!Az&uAz||yyxz¤¾ÇÎz&z}¿ .|vu p ?~vxp ufGvxo?Aypo?puf.vxz}uwÄiÎmwp Qo;L 1|p?mApVV¡Tvxp mAp;vmAo?p Îv~"z}u ¾$mwvx~.m mAp?~z}o?AwÎÎvz}uA |p`p ÌÍz|o?p|uA&yxpV&zC~ z}uAvAp g , fp z¿ Avxo?puA vxz}uA|y=`z}yTuAz}o?v¯y^ TÐÎpo?$¾$mAz}o Ap{|pp Ïhp It f z}wп×yx2v 1|pÑ%l3mAvx3A p ¡|pufÎÎz9{}v¡|p (*)+ , {}pz}o?p v~iAp{|pp0`z}AuAwÑ /. 0. iQikj lnm+oqp!r.
(34) l3mwpA z}Ayxp o vx.|~!1yp(¾$vÀÎmG$¡Tvxp ¾[Îz¤¾6GA|~ vx~|yp ?~vpuA~:(vu%@ q½|q|Bfwvxuw{kÎmwpAv .uA~p ÌÍAuA~:Îvxz|u=½/|uA&vxu @ . q<Bfwvxuw{CA z p~:Îvz}uÌÍAuA~ vxz}uw½/|uwuAz?~z|oCAyp:Öv×CpÐÎvo;p3v{|v¡}p u=Ñ ×u @º¢A½ . BK½}mAp$|wmAz}%wp3ÎmAp3p yxvoCvu/Îvz}u0AzT~p AA pÆAz¤¡Tvxwp9vxu?@ £ w½A£¢w½A£«T½w£«½fq£6BAz z}wÎ|vxu |u|yx{}z|vmAo ¾$mAvx~.m&vxIz}yÀTuAz}o?v¯|y`vxu&|u ( ) , {}p z}oCp:Î vx~iAp {}p p0Iz}wuA&|uA ¾$mAvx~.m&~z}o?Awp 9yxp| 9z|uApIz|vxuf"vxuÕp|~.m<~z}uAuwp~ p~z}o?Iz|uApuf9z|Ìk % $#K,!
(35) , pVy3|yx{|pA|vx~Cp Ap ÃAuAp&" p{}Ayx|6 pApuw~p|Ñ l3mwpp0~ z}oCwyxp:ÖvÀ×C p Ay$|pi{|puAp Î|yNv fp Îz"uAz|u¿×~ z}oCA|~ 3 v/Îvz}uAvxu @ . £ B^AvuA{"Az« p~ vxz}u ÌÍAuA~:Îvxz|u |uACvxEu @T½ BK½¾$mAp pkmApk|wÎmwz}{}z/|!~ 1"ÎzÎmApAvxÐ.|uw~p$ÌÍAuA~ vxz}u^Ñ Ò[pA pÏvxu9Îmwpk pApy ÎmAp ~ z}oCwyxp:ÖvÀ×[ pwy9{}vÀ¡}pu vu @ . 6£ B6Îm/G¾p p~Vyxy6uAz¤¾0Ñ[Ò pAp uAz|Îp f ÎmApuAoG`p9z|Ì z}`pÎÎvxz|uA p Twvxp !Îz oGAyÀÎvxwy&Iz|yTuAz}o?v¯|ykzÌAp {}p p Õ|uA!mAp9uAz|.Îvxz|u ° "!$#%ÏoCp|uA Îm/i&° ' (*),+.-/102ÌÍz}3 z}oCp ~ z}uAÐ.|uf* 3/Ñ 4 \ Üà © Ü 576$8:9<; Q Y°f±:²V³³V³²D°«2´ =(L & (6 ·¸ ¹±²V³V³V³ ²¹9»«¼ #
(36) ) !( $#
(37) # ?>
(38) &)H *
(39) )H # , $#
(40) # % $ R #
(41) e# % A @ U» $N/# ± #
(42) 8P- (
(43) K A % ´
(44) B )H , )+ *DCFEGQIH #
(45) & ( ,!J $ )+ & (
(46) J )KH M Å L O» NQPSR T³ L U» NQPSR $#WVk#
(47) & ( (L & L6 °f±:²³V³V³².°´Y² X $± Z ±:²V³V³³ Y² XÕ$± Z [ \ () TX^],Z _` N ? ( &,!e ( badc @ e² a^c @ &) (f6
(48) ,!. g ) OA ! , # K°}±:²V³V³V³ ²D°B´ \ ?) ! $(!, g (h )
(49) N! ¹±:²V³V³V³ ²¹9» E Qgh a (
(50) )
(51) $#
(52) (a
(53) B )H ,a#
(54) ) ! (K$) 8P O" i Z &,! : ((L & 6 FV=Ekjl ()!"HO N 8 m$) . !
(55) N ,
(56) )+
(57) k,!$
(58) *
(59) N &n( ( V
(60) ,o ,! ( &!,# ,!( & (RpCrq(s » \ ( ,!$NHO N \
(61) . m"!$#.uta ±bv H TwFx H 1 > a(c @ g SyY )+
(62) % ,o()H * BE. k yxy3ÎmwppÔ|yx{}z|vmAo?"p Au9f p z¿×AvoCp uAvz}u/|y3ÐT Îp oCC¾$mAz}p! pV|yz|yxwvxz}uA?~Vu Ip&ÌÍz}AuA f ~z}o?AwvxuA{Q!Îvxz}uA|y/Î|o?p vNfÎvz}u®z|ÌkÎmAp vx"~ z}oCwyxp:Ö®z}ywÎvz}u p:Cwvxuw{QmAp&|yx{}z|vmAo? Az¤¡Tvxwp vuCp vÎmwp @À£}½q}<BIz|a@ £ w½M£V¢A½M£«½I£¤T½q£BYÑ Ò pÏp:ÌÍpÆÎz%@ q}<B`ÌÍz|mApkvz}yxÎvz}u9z|Ì= pV|y`zTz|z|Ì &wuAv¡| v¯pGIz|yTuAz}o?v¯|y¾$vm ~ zp ?~vxp ufÎ0vxuQ|u |~.mwvxo?pAp|uQÃApyx A vxuA{{ zk Ip uA 1f G|y{}z}vÀÎmAo |uAE @À£V B]>YuA9p ÌÍp p uA~p Îmwpp vxZu CBÌÍz|4ÎmAp3|oCp3Î| 1Gz|uC%Avp Ö9p vp%Ã/pyAÆAvuA{TÎwo"1¿ |ÏAvx~.mf p TwpuA~ pÑ T à X ¨¤© W ¦ ¨ W $à X § Ò[p ÌÍzT~A$z}u `z}yTuAz}o?v¯yIÐÐÎp oCz|ÌBp/vxz}uA|uw & (' )+ , vxuAp /|yxvÀÎvpÑ kyxy|yz}uA{"Îmwp/Ip ½/¾p~z}uwvxwpIz}yÀTuAz}o?v¯|y3°f±:²³V³V³» ².°´|uA&µT±D²³V³V³² µ}¶vu·(¸ ¹ ±²³V³V³² ¹?»¼ÌÍz} z}o?Wp wI/½ }(uA~ aQv~u |uA ÎmAp0 po?vÀ¿dyx{}p AÎ|v~Ï p $ Á s wp Ã/uAp f`Ä °f±%Å ³V³V³TÅh°´ÅbÉ µ±ÊhɲV³V³V³:²µ|¶ÊËÉ ko?pufvxz}uAp [Iz¤¡}p½BmApC z}yxÎvxz|uQ p (z|Ì6 A~.mÕ Iz}yÀTuAz}o?v¯|yB T po z|Ì6p TAÎvz}uA|uA & (' *)+ , vxuwp/|yvÎvp%vÆmApAuAvxz|uCz|ÌIÎmApz|yxwvxz}u9p:Îz|Ì=`z}yÀuwz}oCvx|ywÐT Îp oCz|Ì=p /Îvz}uA|uA *)+ , vxuAp /|yxvÀÎvpÄ °}±ÆÅ ³V³V³ÅÈ°«´ÅhÉ Oµ ], 4Å ³V³³ÅËOµ ]%ÅbÉ Bµ _ØÉ i^ ' бD²V³³V³e² o ÌÍz}$|yy=Awp D б.²V³V³V³ e² e(z|Ì :}²V³V³³ Y² }.Ñ ]i.
(63) l3mA ½$~z}o?AwvxuA{[;ypV|Ð;z|uAp`z}vxufCvxupV|~.m*~ z}uAuAp ~ Îp *~z}o?`z}uApuf;z|ÌiÁ#~|u `pAz|uApf ~z}o?AwvxuA{ 0yxpV z}uwp?`z}vuivxu!pV~.m ~ z}uAuAp ~ Îp [~ z}oC`z}uAp uf0z|ÌÆÎmAp9p oCv ¿d|y{}pwÎ|v~ p Ap:Ã/uAp f<mAp|Iz¤¡|p`z}yTuAz|oCvx|yÐÐÎp oC 7Ñ zk vxuA{ ÎmAp&p AyÀÎ?z|Ì@ Gw½½$£¤<Bk|uAc@ . £BK½mAvx9ypV|A"z[|u |yx{|z}vÀÎmAo¾$mAz}p~z|oCAyp:Öv× vx? Ao@z|Ì AzTAA~:ÎAp~ z}oC`z} pvufÎzC?~ z}oGAvu/Îz|v¯yIÌ |~:Îz}|uA ÎmAp `z¤¾p $z|ÌB|u (*)+ , {}p z}oCp:Î vx~Ïwp{} pp `z}AuA=ÑÆl3mAp0vmAo?p Îv~Ïz}`pÎvz}uA|p mAp p ~ z}AufÎp vxu<QÆwvxp Ö<p vp"Ã/py vxuA~ pÎmAp A pz|Ìkp AyÀÎ?z|Ì @ Gw½ÆT½3£¤L B$vuAAA~ p"ÎmAp vuzTAA~:Îvxz|u<zÌi|u vxuwÃAuAvpvo;yKÑ _ A o;|vu( pwy%~ z}uAv 4vxuG pAw~vxuw{iÎmAp3~ z}oCww.vxz}uz|Ì`%ypV|Ð4z}uwp6Iz|vxuf%vxu(pV|~.m"~ z}uAuAp ~ Îp ~z}o?`z}uApufz|Ì4? po?vÀ¿dyx{}p AÎ|v~Ï p Ap ÃAuApÔf&"`z}yTuAz}o?v¯y^ TÐÎpo z|ÌBp/Îvxz|uA|uA & (' *)+ , vxuAp /|yxvÀÎvpÏz mAp9~z}o?AwÎÎvz}u!z|Ì0yxp| 0z|uAp9Iz}vuf0vxu!pV~.m[~z|uAuAp~:Îp [~z|oC`z}uAp u0zÌ p ¡}p Î|y ) Q
(64) B )H ,a Ap:Ã/uAp f`z}yTuAz|oCvx|yx%¾$vm ~zTp ?~vpufÎ3vu·ÑkÚz} p Ap ~vpyÀ}½w¾p0Az¤¡|p0m/ ~z}o?AwvxuA{G6ypV|Ð6z}uApkIz|vxuf6vu pV|~.m~ z}uAuAp ~ p ~z}o?`z}uApuf6z|Ì,Á ~|u`piAz}uApÏC~z|oCAÎvxuw{G yxp| $z}uwp`z}vu$vu pV|~.m&~z}uwuAp~:Îp~z}o?`z}uApufz|ÌÎmAp0 pV|y,yx{}p AÎ|v~ip:ÎAp ÃAuAp`Ä °}±ÆÅdzV³V³ÅÈ°«´ÅbÉ Oµ ], 4Å ³V³³ÅÂOµ ] ÅÂÉ ÌÍz}0|yy wAp: d±:²V³V³V³ e² e;vru :}²V³V³V³ Y² }.ÑGl3mA½Îmwp?vuwÃ/uAvÀÎp vxoC|yAp ÌÍz|oCÎvz}u!vxufÎ zwA~p Qvu!ÎmAp Ap ~p AvxuA{ |AA zf|~.mÔvÏV¡}z|vxAp !|uA&ÎmApuTwoGIp Ïz|Ì%|vÀÎmAo?p vx~ z}`pÎvz}uA$Ip ÌÍz} oCp f ÎmApAu¿ Ap yTvxuw{®|y{}z}vÀÎmAoÓvx?~z}Aufp*z¤¡}p ·0Ñz}o?/|p z[ÎmApAp ~p AvxuA{®|AA zf|~.m=½3¾pmwz«¾ mAvx |yxyz¤¾$4ÎzpwA~p$ÎmAp$~ z}oGAvu/Îz|v¯yTÌ |~:Îz} ½f¾$mAvyxp6ÎmwpÏ|y{}pwÎ|v~6z}uAp p$ vxyxywIz}yÀTuAz}o?v¯|yTvxu9z|oCp (*)+ , {}pz|oCp:Îv~iAp {}p p`z}AuAwÑ Ò[p ÎmwpuØwp pufuvoCAypo?puf.Îvxz|u®z|ÌÏmAvx?|y{}z} vÎmwo½4¾$mAv~.m¾$vyxy6`pvufÎp{|Îp<vxuÕÎmAp&uApDÖ p yxpVpz|Ì^mApÏ$s vCÚ|Ayp ,vAÎ|Ð? @ . L B`|uACmAz¤¾*mwz«¾ v~V|u?`pÏ|wAyxvp"ÎzA z}Aypo ~ z}oCvuA{ ÌÍz}o)/p u&oC~.mAvxuA{wÑ 9<© ^Mª X Wfªw<¨ W $à X $à Y <¨ \ Ü Unª U Ü © ×u<ÎmApÌÍz}yyxz¤¾$vxuA{! p~:Îvxz|u=½¾p mAz¤¾@mAz¤¾#z Î|!~ 1yxp&Iz|yTuAz}o?v¯|y T po?Æz|Ì`p/vxz}uA4|uA & (' ) , vxuAp /|yxvÀÎvp(~z}uwvxwpvuA{ `z}yTuAz}o?v¯yTÐT Îp oC%zÌIp /Îvz}uA |uA ) , vxuAp /|yxvÀÎvpÑÒ p6AzT~p p?i~z|oCAyp:Öv×(|u/yTv4z|Ì/Îmwp$|yx{}z|vmAo vxuwAA~p 9ÎmAv4u/|vÀ¡}p |AA zf|~.m=½`vxu z}oCp{}p uAp vx~0~V| p Ñ ×uuApDÖÏp ~ Îvz}u=½/¾p mAz¤¾ÇmAz¤¾ÈÎz?.|!~ 1yxp mAp|o?pA z}Aypo#f z}yÀ¡TvxuA{0p:Ö~ yxA v¡}p y"`z}yÀuwz}oCvx|y T po?zÌ^p TAÎvz}uAÑBÒ[p$mwz«¾ mAz¤¾ØÎmwvx%vxo?A z«¡|p6ÎmAp$~ z}oCwyxp:ÖvÀ× z|ÌÎmAp uAp:¾#z}wÎ|vxuwp |y{}z}vÀÎmAo ¾$mAv~.mvGw~~p ÐÌÍAyxyÀ<|AAyvxpÕvu®ÎmAp yx| " p~:Îvxz|u zQ Apu o;Î~.mAvuA{9Az}wyxpo&Ñ 7& +=#
(65) 0
(66) % ×u ÎmAv; p~ vxz}u^½$¾p!mwz«¾ mAz¤¾ Ã/uAwvxuA{Õ yxp| ;z}uApÔ`z}vu;vxu p|~.m*~z|uAuAp~:Îp Â~ z}o?Iz}uwpuf z|Ì p oCv ¿d|y{}pA|vx~p Ap ÃAuAp f?p/Îvxz|uA|uA & (' )+ , vxuAp TA|yxvÀÎvxp %vxÆp AA~ p;zÃ/uAwvxuA{yxp| z}uApkIz}vuf6vxuCpV|~.m;~z}uAuwp~ p ~z|oC`z}uAp uÎzp ¡|p|y=p oCv ¿d|y{}pwÎ|v~3p 6Ap:Ã/uApfCp/vxz}uw6|uA *)+ , p TA|yxvÀÎvxp Ñ © à U à §qW ¨<W à$X 5 Y°f±:²V³³V³²D°«´² µT±D²³V³V³² µ}¶S =( & ·G¸ ¹±²V³V³V³ ²¹9»¼ Á s » ( 'b
(67) B )H ,a d#
(68) 8P- &#h . °}±ÆÅdzV³V³ÅÈ°«´ÅbÉ µ±ÊhɲV³V³V³:²µ|¶ÊËÉ $#H ?,! ( &!, #?,!( & (R Á E iQikj lnm+oqp!r.
(69) jl ( i- ()!HO N 8 " б.²V³V³V³ ²ee :}²V³³V³ ²o}% Z,o ? - ( 'b
(70) B )H ,: #
(71) 8P- &#= °}±ÆÅdzV³V³ÅÈ°«´ÅbÉ µO], 4Å ³V³³ÅµO]4ÅbÉw² µB_** É i= :} ²³V³V³²o}% б:²V³³V³²eo ?,! ( &!, #?,!( & ( H &,n#
(72) #g ~HGE M ) E ,p `pÔ Iz}vuf;z|Ì H Á@uA Ð ±:²³V³V³² o! mAp p zÌ0vxuAAv~p ;z|Ì `z}yÀuwz}oCvx|yx9z|Ì ¤ µT±.²V³V³V³ ²µ}¶e9 ÎmA ¡|uAvx m!vxu`Ñ ,p H `pGÎmApG po?vÀ¿×|yx{}p AÎvx~~z}uAuwp~ pQ~z}o?`z}uApuf zÌmApG po?vÀ¿ |yx{|pA|vx~i p f`Ä °f±%Å ³³V³ÅÈ°«´ÅbÉ µO], 4Å ³V³V³fŵU]ÆÅÂÉw² µB_** É i= :| ²V³V³V³ ²Y}. Ð ±:²³V³V³² o A~.m<Îm/ H Ñ®ÙMz|9|ufÕIz|vxuf H ½ÆÎmAp p p:Öv Î?!~z|uvxuAz}w? po?vÀ¿×|yx{}p AÎvx~?/Îm
(73) ¸ ɲ2 ¼ H A~.mÎmA I É
(74) Å |uw IS Å Ñ$vuA~p0ÌÍz}|yyGØ ¸ºÉw²2 ¼K½ I <G H ½MÌÍz|Ï|yyGØ ¸ Éw²B ¼ |uA |yy :} ²V³³V³ ²o}% Ð ±D²³V³V³² o ½`µ2_O <k AzTpiuAzÏ¡|uAvmÔz}u <Ï |uAvxÏ~ z}uA pApufy!`z}vÀÎvÀ¡}p z}u ÎmAv3/Îm&vuA~piµB_U IY É
(75) < ÉwÑÆl3mA ½ H H Ñ . l3mA?mAp Az|Ayxp oÓz|Ìk~z}o?AwvxuA{Ô9yxp| 9z}uwp&`z}vuGvxu pV|~.m<~z|uAuAp~:Îp ~ z}oC`z}uAp ufCzÌÏ! po?vÀ¿ |yx{|pA|vx~0p:Ïwp Ã/uAp !fp /Îvz}uAk|uAuAz}u¿ Î vx~:kvuAp/yxvvxp 3vxpwA~p ÎzC~z}o?AwvxuA{Cyxp| z}uApi`z}vuvxu p|~.m~z|uAuAp~:Îp &~ z}o?Iz}uwpuf3z|Ì p ¡}p Î|y^po?vÀ¿×|yx{|pA|vx~3 p Î3wp Ã/uAp Cp/Îvxz|uA3|uA vx~:"vxuwp/|yvÎvp ÑQk"oCp ufÎvxz|uApÕvu®ÎmApvuzTAA~:Îvxz|u=½ ÎmwvxGA z}Aypo vx(Î|!~ 1yxp f |ÐToCwz|Îv ¿ ~V|yy z}ÎvxoC|y|y{}z} vÎmwoC ½Avxu/| vx~ Ay¯|3mAz}p(z|-Ì I6| =½=z}yxyx|!~ 1 |uAÔz¤&/| p!z}umApÌÍz|yxyxz¤¾$vuA{ {}pz|oCp:Îv~ p AyÀVÄ 4 \ Üà © Ü 6 O 9 1; Q K°}±D²V³V³V³ ²D°´²µ±D²V³V³³²µ|S¶ (L & 6 ·(¸ ¹±²V³V³V³:²¹9»¼ $# H ?,! ( &!,# ,!( & (d ( 'b
(76) B )H ,a #
(77) 8P- &#h °f±%Å ³V³V³fÅb°´kÅÂÉw² µ± Éw²V³V³V³:²µ|¶ *É jl( i4 ( ) "HO N Ð ±D²V³³V³²eo :} ²V³V³V³:²Y}. Z,o% ( a) Q,!
(78) () )+ (
(79) B )H , ) #
(80) 8P- &#h °}±ÆÅ ³V³V³Åh°´kÅ˵O] !c 0ÅdzV³V³TÅ˵O] !c 0ÅhÉ ?,! ( &!, #?,!( & (- &,n#
(81) # (HKE. 3l mwvx$p AyÀk pAw~pÎmApA z}Ayxp o#z|ÌÃ/uAAvuA{CyxpV z}uAp0`z}vxufvxu pV~.m~z|uAuAp~:Îp Ô~z}o?`z}uApuf z|Ì po?vÀ¿×|yx{}p AÎvx~3p:3Ap:Ã/uApfC(`z}yTuAz|oCvx|yA TÐÎpo z|Ì,p TAÎvz}uA6uA v~ 6vuAp/yxvvxp 4¾$vÎm ~zTp ?~vpufÎ3vu · z(Îmwp Az}wyxpoz|Ì,ÃAuAAvxuw{"3ypV|Ð6z}uApÏIz}vuf6vxu;pV|~.m~ z}uAuAp ~ Îp ~z}o?Iz|uApuf3z|Ì p|y yx{}p AÎ|v~ p:iAp:Ã/uAp?Iz}yÀTuAz}o?v¯|yI T po z|Ì%p/Îvxz|uA¾$vÀÎm~zTp ?~vpufÎkvxu&#· "$&% ½A vxuA{ ÌÍz}p:Öw|o?Ayxp0ÎmAp(|yx{|z}vÀÎmAo?3Az¤¡TvxwpÔvu @ q½=q½ . 6£ BYÑ ×uÎmAppAp yK½`¾pApuAzÎpGf ')(+* ,-(+.0/&. 1-2 z}Îvxuwp9Î 1vxuA{|vxuAww&`z}yTuAz|oCvx|y ÐÐÎp o zÌ6p/Îvxz|uAvu ·¸ ¹±|²³V³V³:²¹9»¼|uAQp:ÎA uAvxuw{|u puA~ zwvxuA{z|Ì3ypV|Ðz|uApC`z}vuvu p|~.m[~ z}uAuAp ~ Îp Õ~z}o?`z}uApufz|Ì6mAp?pVyÆ|yx{}p AÎvx~"p:GAp:Ã/uAp fÎmApvxuAww T po&½`wuAAp$Îmwp0ÌÍz|o#z|Ì4?yvxÐ3z|Ì4Îvz}u/|y^/|ÎoCp:Îp Nv fÎvz}uA¾$vÀÎm&~zTp ?~vpufÎvxu · . zÌBmAp0~z}o?AyxpDÖ z}yxwvxz}u p kz|]Ì fp z¿ Avxo?puwvxz|u/|y` T po?Ñ Ù/z}yyxz¤¾$vxuw{ @ Gw½Æw½3£¤L BY½ÆÎmAp v{}u<z|Ìi `z}yTuAz}o?v¯yµ Ç·G¸ ¹±²V³V³V³ ²¹9»¼9pV|~.mpVy3Iz}vuf9z|Ìi fp z¿ Avxo?puA vxz}uA|yBÐT Îp o ~Vu!IpG~ z}o?AwÎp ÔÌÍz}o w~.m u!puA~ zAvuA{A½=fAp AAz¿ poC|vuAApk~z}o"¿ AwÎÎvz}uA%Îzp AA~p$ÎmwpkoGwyÎvÀ¡|vxÎpAz}wyxpo ÎzwuAv¡| v¯p3z}uAp|uA?f9vxz|y¯vxuA{imAp$pVy` zzÎ ]i.
(82) z|Ì`AuAvÀ¡|v¯ÎpIz}yÀTuAz}o?v¯|y¾$vÀÎm"~ zp C~ vxp u%vxu"W· .DÑ Ipyz¤¾0½}¾p3Ap uAz|p3)/02+1 .9iAA z}wvxuAp . 1vuA{&| vxuAwwyxvxÐ z|Ì/||oCp:Îp vNfÎvz}uAϾ$vÀÎm ~zTp ?~ vxpufvu · .9uAQ yvxÐ z|ÌIz}yÀTuAz}o?v¯|y vxu ·¸ ¹±²V³V³³²¹9»«¼3¾$mAvx~.m p ÎwuA9ÎmApA|Î|o?p p vNfVÎvxz|uAGpuw~zTAvxuA{ pV|y6`z}vu"z}uÕ¾$mAvx~.m ÎmAp Iz|yTuAz}o?v¯|yz|ÌÎmwp p~ z}uAvuAAw$yvxÐ$|p `z} vÎvÀ¡}pÑ
(83)
(84) . X U ,¨ Ä4×¾z;yvxÐÎ6z|ÌB`z}yTuAz}o?v¯yx*°}±D²V³V³³²D°«´O½M|uw^¤µ±D²V³³V³²µ|¶eGvu·G¸ ¹±²V³V³V³ ²¹9»¼YÑ ¨U ,¨ Ä|up uA~zTAvuA{9z|ÌB$yxp| 3z|uAp0Iz}vuf3vxup|~.m~ z}uAuAp ~ p&~z}o?Iz|uApufÎ3zÌBmAp p oCv ¿. yx{}p AÎ|v~ip:Ap Ã/uwpf`Ä. °f±ÆÅ ³V³³ÅÈ°´ÅhÉ µ±6ÊËÉw²³V³V³² µ}¶ÊËÉ. !#"%$&('*),+ -. 0/2143658797;:%< ±>=@?@?@?%= < @ACB :ED =@?@?@?#= " A FHG8IKJMLONPN :Q ±%=@?@?@?>= QSR ATB :ED =@?@?@?>= " AVU :%< ±%=@?@?@?>= < @A FW X )ZY[#\]^[K_^`K_Ea4b.cedgf ±@=@?@?@?%= f ´hi ], @=@?@?@?>= i ] hi _S ;jlkE=@?@?@?>= i _nmojlk@p(q F !#"%$&('r)ts^`bOa.u.vOw_x W X = : i _Cy Q{z|:ED =@?@?@?#= " AVU :%< ±%=@?@?@?#= < = Q ±%=@?@?@?#= QSR A q~} !#"%$&' . JSr^Jr !>">$ &(' T à VU ^Ü Wͨ Ý ª X ª Ý §WY§ _ A6~ z}oCwyxp:ÖvÀ× |uA|yTvv6/| p z}u @ . £|½Al3mwpz} poBKÑ%l3mAp0vmAo?p Îv~ ~z}o?Ayp:Öv×z|Ì ¥ 8^ à ©W ¨<\ Ôvx;mAp!| vmAoCp:Îv~¶ ~ z}oC¶ wyxp:¶$ÖN:vÀ]×zÌ ')( * ,-( .0/ . 1-2ÕoGAyÀÎvxwyxvxp fÎmAp uAoG`p$z|ÌBIz} vAyxp ~.mAz|vx~p 3ÌÍz}VÂ|uAÔ½/vKÑ p|Ñ ] v L ] R ³ Ñ 4 \ Üà © Ü » Q K°}±:²V³V³V³:²D°«´|²µ±D²V³V³³²µ|S¶ (L & dR#
(85) ) !
(86) $#
(87) #m > ·¸ ¹ ±²V³³V³ ² ¹?»¼ $# Á s h ( 'b
(88) B )H ,a d#
(89) 8P- &#h . °}±ÆÅdzV³V³ÅÈ°«´ÅbÉ µ±ÊhɲV³V³V³:²µ|¶ÊËÉ R ( Å d±:²V³V³V³:e² e :}²V³³V³Y² }. $# h i 4 :}²V³V³V³:Y² }. ]N Z #
(90) & (p( & 6 Y°f±D²³V³V³².°´²Uµ ] D²V³V³V³:²Oµ ]D²Bµ _S c T²V³³V³²Bµ _m c!.:² @ Z #
(91) & ( # % e (
(92) B )H , )+ [#
(93) 8P- &# Z 6 Z (V,!J $ )+ ³TL » t Z #
(94) & ( N
(95) E Z )H S O
(96) I &$) ) *
(97) { Z ( J ) L ´ »ONQ Pr #¡ ¢ R »UNQPe O¡ ¢ R. g£ Z (
(98) B )H , #
(99) )!! ! , #g Z jl (!) 9 E ¤ !
(100) % Qq)g (% i $# Z
(101) &)H ! g E)H # , $#
(102) # % $ ] #
(103) $##
(104) 8P- &! h %
(105) B )H , )+ *.Ekjl () HO N a K$) . !
(106) N * ,
(107) )+
(108) ,!$
(109) *
(110) N &p( (- A
(111) ,o ,! ( &!,# ,!( & (d Á \ e )+
(112) % ,,!$NHO \
(113) .
(114) ³S´ ´ ¢ ;¥ ¦«¦§ § 2¡n ¨n®¡n¯n¨9¨9°£¨n¨n¡±¨9©² ¡
(115) ª ©n #ª¬O¡ ¢/ » O¡ ¢ ± ´2µ nµ #¡ ¢¶¸· ±
(116) ± » N Pe #¡ ¢~¶¹º9 O¡ ¢¶»S¶ $#. )+
(117) % ,o()H * . iQikj lnm+oqp!r. ·. " % E.
(118) ×u mApÏÌÍz}yyxz¤¾$vxuw{ p~ vxz}u^½w¾p mAz¤¾bmwz«¾Ëz"pwA~pimAvx~z}o?AyxpDÖv×}½f A z«¡TvAvxuA{(|u |y{}z}vÀÎmAo AwTvxuA{!pDÖ~yxwv¡|pyÀ[`z}yTuAz|oCvx|y4 TÐÎpo?G¾$vm[~ zp C~ vxp u"vxu · |uA[ ÎwwTvxuA{Ôyp GIz|yTuAz}o?v¯|y T po?m/|u ¥ ^ à © Wͨ \ }Ñ
(119) 0 1 BD& ×uhmAvx p ~ vxz}u=½k¾pQmAz¤¾ mwz«¾ Îz<pwA~pQÎmAp A z}Ayxp o z|ÌÃ/uAAvuA{<&yxpV &z}uAp `z}vxuf&vxuËpV~.m ~z}uwuAp~:Îp~z}o?`z}uApufz|Ì "po?vÀ¿×|yx{|pA|vx~p:kwp Ã/uAp f "`z}yTuAz}o?v¯yIÐÐÎp o@z|Ì p /Îvz}uA|uA uAz}uC Î vx~:vuAp/yxvvxp 4¾$vÎmC~zTp ?~vpufÎvxu?· ÎzÎmApAz|Ayxp o z|Ì=Ã/uwAvxuA{yxp| z}uwpk`z}vxufvxu?pV~.m ~z}uwuAp~:Îp&~z|oC`z}uAp u$zÌB p ¡|pÎy,pVy=|y{}pA|vx~kp:Î3Ap:Ã/uAp&f `z}yTuAz|oCvx|yM T po?zÌBp /Îvz}uA ¾$vm&~ zp ?~vxp ufÎvxu ·0Ñ l3mwp3p Ayyxyxz¤¾$vuA{Ï A~.m; pAA~:Îvz}u"vx%/p9z}u"mAp6ÌÍz}yxyz¤¾$vxuA{kvxufÎAvÀÎvz}u=Ä,vÌIi`z}yTuAz|oCvx|y hvx Iz|vv¡|p3|uA"uAp {fv¡}pz}u9Ï~z|uAuAp~:Îp C~ z}oC`z}uAp uf%z|Ì`|u9|y{}pwÎ|v~ p ?½}mApu"fÎmAp6vufÎp oCp Av¯Îp ¡|yxApimApz|po&½/v¡|uAvx mAp$z}u ÎmAv3~z}o?`z}uApuf|uw&mApu&z}uAp0~VuÐÎAw q =W:Ñ l3mwp3p AyÆ`pyz¤¾v4voCvy¯|Îz @ q GT½Æ z}`z}vÀÎvxz|u wÑÀ£« BQ>Íp pkyxz @ Gw½}w½w£¤ B C4|uw"vÎ AzTz|Ì`vx4A|p z}u ÎmAp0ÎoCp A vxuA~ vxAyp Ñ 4 \ Üà © Ü Q K°}±D²V³V³³²D°«´²µ±D²V³³V³²µ|¶S a K( & 6 ·G¸ ¹±²V³V³V³ ²¹9»¼ Á s » : ( 'b
(120) B )H ,a d#
(121) 8P- &#h . °f±%Å ³V³V³fÅb°´kÅÂÉ µT±ÊËÉw²V³³V³ ² µ}¶ÊËÉ $#H ?,! ( &!, #?,!( & (R Á E jl ( ()!HO N б.²V³V³V³ e² e Z,o ? J (
(122) B )H , )+ #
(123) 8P- &# . °f±ÆÅ ³V³³ÅÈ°´ÅËUµ ] ÅdzV³V³TÅËOµ ] ÅhÉ ?,! ( &!, #?,!( & ( &, #
(124) # HGE M ) E z}uwvxwpmÐ ±D²³V³V³² o(Ip09oCÖvxoC|yI AA p ÌÍz}3vxuA~ yxA vxz}uzÌ. :| ²V³V³V³:²Y}.
(125) H ²in `²AµO]1Æ ÅbÉ . |uA&Apuwz|Îp0f ÎmAp0p|y,|y{}pwÎ|v~Ï¡|vp × wp Ã/uAp f`Ä °f±ÆÅ ³V³³ÅÈ°´ÅËUµ ], 4ÅdzV³V³TÅ˵O] ÅhÉ ,p v%Ap uAz|p3Ï~z|uAuAp~:Îp C~ z}oC`z}uAp uf4z|Ì Hq b|uA ÎmAp6~ z}uAuAp ~ p9~z}o?`z}uApuf z|Ìb~z}ufÎ|vxuAvuA{ v¤Ñ3$poC| 1;m/½` vxuA~ J p d±:²V³V³V³ e² eGvoCÖvxoC|yY½A|uf&Iz|yTuAz}o?v¯|y`Uµ ]ÌÍz}G D d±:²V³V³V³ e² "Az & ) ¡|uAvx mz|u vÑÆÒ p0mAz¤¾buAz¤¾bÎmA Å vV½A¾$mAv~.m&¾$vyxyIp Î|Ayvxm&"A zz|ÌBz|ÌÎmAp mApz} po&Ñ ÙBvxÐ( poC| 1 ÎmAGf®wp Ã/uAvÀÎvz}u®z|Ì ½ v~ ÑQz|uAvApGuwz«¾ /v9Ô`z}vxufGvu v9|uAr =± Iz|vxufvxu Ñ ,p Ip? p oCv ¿d|y{}pA|vx~(/Îm ÌÍz|o /vz =±ivxu |uAQ~z}uA vxAp |0ÎmAp?p:(z|Ì Iz|yTuAz}o?v¯|ym/3¡|uAvm vxu I¸ºÉw2² ¼ :Ñ TAA`z}p Îz9`p uAz}u¿ po?w×}ÑÆÙ/z}3u Iz}yÀTuAz}o?v¯|y/µCvxu ½Aµ Ôv$|yx{}p AÎvx~iuA¡|uAvx mAp3z}u 9ÃAuAvpuAo(Ip zÌ4`z}vxuf$vxu ¸ºÉw2² -¼ > z}$vx$vApufÎv~V|yyg fp zCz}u®¸ºÉw2² ¼ CDÑÚ&z}p z«¡|p ½IfAp:Ã/uAvÀÎvxz|u&zÌ ½ µ Ô¡|uAvx mApz}uyxp| z}uAp`z}vxuf$vxu ¸ºÉw2² ¼YÑl3mA ½Iz|uAp0~V|uAp Ã/uwp ÎmwpypV|С|uwvxmwvxuA{9`z}vxuf z|̵ Ôvxu ¸ºÉw2² ¼YÑ%l3mAp u=½`| v6Ã/uAvp|½Az|uAp0~V|u&Ap ÃAuAp GmAp yxp| ÌÍz}6µCvx u Ñ kufÔ`z}yTuAz}o?v¯yBvru ¤µT±D²³V³V³:²µ}o¶ ?vx f p zz}ÏIz} vv¡}p(z}u!ÎmAp"/Îm I¸ºÉw² ¼ :½=|uA!ÎmAp p9p:Öv Î0 Iz|yTuAz}o?v¯|yM"µ !$vx u >ÍvÌBv3v3uAz|po?w× CÎm/3¡|uAvx mAp$z}u I%DÑ ]i.
(126) l3mA % vx`z}vxufz|Ì H z}u ¾$mAvx~.mQµ !²Uµ ] .²V³V³³À½ |uA[µO]Ï¡|uAvx m=½B¾$mAv~.m®vxuAz|(Iz|vAyxp"ÌÍ z}o ÎmAp"wp Ã/uAvÀÎvz}uz|ÌGd±D²V³V³V³ ²eeÑ l3mAp p ÌÍz} p"uAz `z}yTuAz|oCvx|yvxu ¤µO] ²V³V³³²µO] © ?¡|uwvxmwpiz}u |uw&=± Ip yxz}uw{}6Îz vV½w¾$mAv~.mvoCwyxvxp m/ v|uA&puAA$ÎmwpwzTz|ÌdÑ l3mA ½z ~z}o?Awp90yxp| z|uAp9Iz}vuf vxu pV~.m ~ z}uAuAp ~ Îp ~ z}o?Iz}uwpufz|Ì po?vÀ¿×|yx{}p AÎvx~p Á Ap:Ã/uAp f!CIz}yÀTuAz}o?v¯|y,ÐÐÎp o z|ÌÆp/Îvxz|uA |uA & (' )+ , vuAp/yxvvxp ¾$vÀÎmÔ~ zp C~ vxp u vxu ·½,vÀ$vx3p uAz}A{}m Îz9~ z}oCwwÎp z}uwp`z}vu6vxu pV|~.m&~z|uAuAp~:Îp ~z|oC`z}uAp uz|ÌÎmwp pVy,~z}AufpA| kz|Ì z}o?p|yx{|pA|vx~kp kwp Ã/uAp f `z}yTuAz}o?v¯y`ÐT Îp oC$¾$vm~ zp ?~vxp ufÎ$vxu ·0Ñ ÏBvxu0ÎmApAp ~p AvxuA{k/||{}ÎAm=½«¾pApAA z}wvxuAp ~Vyxyxp '0( * ,-(+./ . 1-2 |uw )/)2 1 .(zk~ z}oCwwÎp CyxpV Cz}uAp&Iz}vufCvup|~.m ~ z}uAuAp ~ Îp *~z}o?`z}uApufCz|Ì Qp|y|yx{}p AÎvx~p:|uwØp yxp ~ oCz}uw{ yxv 0z|ÌÎvxz}uA|y /Î|o?p p2v fVvxz}uwkÎmwz}p?puA~ zwvxuA{&0ypV|Ð0z}uAp9p|y%Iz|vxuf0z}u!¾$mAvx~.mQz|oCp9{}vÀ¡}pu Iz|yTuAz}o?v¯|y6| p Iz|vv¡|p|Ñ
(127)
(128) ¤µ±D²V³³V³²µ|e¶ Gvu·G¸ ¹±²V³V³V³ ²¹9»¼YÑ X U ,¨ Ä4×¾z;yvxÐÎ6z|ÌB`z}yTuAz}o?v¯yx* °}±D²V³V³³²D°«O´ ½M|uw^ ¨ U ,¨ Ä|up uA~zTAvuA{9z|ÌB$yxp| 3z|uAp0Iz}vuf3vxup|~.m~ z}uAuAp ~ p&~z}o?Iz|uApufÎ3zÌBmAp p oCv ¿ yx{}p AÎ|v~ip:Ap Ã/uwpf`Ä °f±ÆÅ ³V³³ÅÈ°´ÅhÉ µ±6ÊËÉw²³V³V³² µ}¶ÊËÉ £}Ñ }
(129) qÑ,à © !ª d±D²V³V³³e² o :|²V³V³V³:Y² }.
(130) ')( * , (+.0/ . 1 2 >b@ °}±V²V³³V³²D°«´|½wOµ ] ²³V³V³² Uµ ] ¼ }
(131) )/)2+12 .l B² ¤Bµ _ `= :}²V³³V³ o² }% бD²V³³V³e² o
(132) U } . Ñ3 p Au } à VU Ü^ Wͨ Ý ¥ X !ª Ý q§ W § _ w~ z}o?AyxpDÖwvÀ× u/|yT vx3vx3ÐÎvyxy^A|p z}u l3mAp z}p o £%>Íp p%@ . £6B ¶ C:Ñ ¥ 8^ à ©LW ¨<\ C~V|yyx$ÎmAp(AA z}wvxuAp '0( * ,-(+./ . 1-2 ÌÍz}kpV|~.m! AAp: z|Ìp:}²³V³V³²o}%½`vKÑ p|Ñ Îvxo?p Ñ ×u&mAp ~Vp0¾$mAp pp|~.m&Iz}yÀTuAz}o?v¯|yMÌ |o?vxy9ÐÎAwvxp&fz}A$yx{}z} vmAo ¡}p vÃ/p 3ÎmAp| Ao?wÎvz}uA3z|Ì l3mApz|po £}½Tz}uAp~V|u;p vxoCÎp3mApÏ~ z}oCwyxp:ÖvÀ×"z|Ì ¥ 8^ à © W <¨ \ %> ¾$mAp pÏÎmApkuAoG`pz|Ì,z}`pÎvz}uA vx3~ z}AufÎp vxu · C:Ñ 4 \ Üà © Ü » Q K°}±:²V³V³V³:²D°«´|²µ±D²V³V³³²µ|S¶ (L & dR#
(133) ) !
(134) $#
(135) #m > ·¸ ¹ ±²V³³V³ ² ¹?»¼ $# Á s h ( 'b
(136) B )H ,a d#
(137) 8P- &#h . °}±ÆÅdzV³V³ÅÈ°«´ÅbÉ µ±ÊhɲV³V³V³:²µ|¶ÊËÉ R (" i <Å d±D²V³V³³e² o :}²V³³V³ o² }% 4N; #
(138) & ( ( & 6 K°}±:²V³V³V³ ²D°´² µU] D²V³V³V³ ²Oµ ]´S/ @ #
(139) &» J (R# % J (R
(140) B ) , ) #
(141) 8P- &#m 2% ( ,!J $ )+ ( J ) L O» NQP R ³ L O» NQP R t [#
(142) & (N
(143) Z*)H S O
(144) ] &$) )H
(145) / $#kg£ (
(146) B )H ,"#
(147) ) !" ! , # jl (!) 9 E T. iQikj lnm+oqp!r.
(148) ¤ !
(149) % nq) (" i ?
(150) &)H ! ) # , & $#% # % $ ( #
(151) & $# #
(152) 8P- &! % e
(153) B )H ,h )+ *.E{jl () HO N 8 $)!. !
(154) N ,
(155) )+
(156) !, $
(157)
(158) N &p( (. A
(159) ,o ,! ( &!, #?,!( & (d \ e )+
(160) % , ,!$NHO \
(161) . Á. ±$Z Z ¶. m"!$#Ubt a ±bv TwFx Bx S a(c @ >hg£ y . ·E l3mAvxB~z}o?Ayp:Öv× vB~ yxp|yÀ Ip:pÎm/|uÎmApz}uApz}wÎ|vxuAp ÌÍz} ¥ 8^ à ©W ¨<\ }Ä,ÎmAv yx{}z} vmAohÐÎAwvxp oCz|p3`z}yTuAz}o?v¯yÐÐÎp oCÆÎm/u ¥ 8^ à ©LW ¨<\ TÑÆÚz} pz¤¡}p ½TpoC|H1ÎmAÆvÌM¾pÏ| Ao?p$|AwvÎvz}u/|yy Îm/ÌÍz}Æp|~.m67 :}²V³³V³ o² }%½fmApk`z}yÀuwz}oCvx|ywÌ |o?vxyÀ wp Ã/uAp 6p{|Ay¯|Æ pApuw~p|½ÎmAp u z}uApm/| z}uAyÀ&z ~z|uAvApÎmApG AA p Îo h~z|uÎ|vxuwvxuA{;Ïo?z}Ð @ vxuAwvx~p k¾$mAp p @ Ap uAz|pÏmApGAvoCp uAvz}uz|Ì ÎmAp|y{}pwÎ|v~Ï¡|vp × wp Ã/uAp f`Ä °f±%Å ³V³V³fÅb°¶ÆÅhÉw³. &: 6
(162) 0: &
(163) ,6 4
(164) 0% 1
(165) ' ;!6 $"
(166) ) B+:+. Ü §¬}L© W8U<¨ W $ à X<$à Y <¨ \ Ü U© à ¦ Ü ,p
(167) |uA Ç`p ×¾zC{}pz}o?p v~iz}T p ~ Îkvxu&|u&pA~ yxvApV|u /|~p C½¾$vm Av .uA~p"ÌÍAuA~:Îvz}u @ z¤¡}pw~.m®z}T p ~ Î ½4|uw V {} z}AQz|ÌÎ|uw ÌÍz} o;vxz}uwÑ?s v¡}p u[ p|y`z} vÎvÀ¡}pCuTwoGIp ½4mApC×TAv~V|y{}p z}oCp:Î vx~?/p u®o;Î~.mAvuA{A z}Aypo vx0ÎzÔwp~vAp;vÀÌ6Îmwpp p:ÖvxÐÎkGÎÎuA ÌÍz} o;Îvxz|u;µ vu V A~.m&Îm/ @ ;²µ Ñ lzAp ~ vx`p9z}Ai Ip ~vÃA~?wz}Aypo ¾p9uAp p ÎmApGÌÍz|yxyxz¤¾$vuA{;uAz.vxz}uAi|uA Ap ÃAuAvvxz}uA Ñ(ÙBvxÐV½, Iz|yT{}z}u/y=~AС}p vx$GÌÍAuA~:Îvz}uÌÍz}o ¸ É
(168) ¼,Îz s y A~.mÔ| hb Å ]vx6mAFp ¡|pÐÎp:Öz| Ì CÑ à ¨¤ªw¨ W $à X 5"! #
(169) &p X$#a ¹Ô&² % (d R & (' )+ ,* &,)
(170) )fq!, g `
(171) $
(172) +) k ¹ % g % \ () ¹ $# % ) P- ( E l3mAvx$ p z|ÌBo;|wAvxuA{|6¾$vxyxyIIp0A p ÌÍAy=z9pvuAApDÖ ÎmAp ¡}p p:Ö&z|ÌBIz|yT{}z}u/y^~w ¡}p Ñ. (Ü ' X WÍ<¨ W $ à X 5 jl ("# N ,) *)),+!,o (J# N &,!W \ ! \ m(
(173) $ ],
(174) )+ ! $# N @- ;.² F%0 Å /2±65 Z 147>3 ¶98
(175) :Jc$ <; 8>= \ () (p ) ?:,&² ; )H
(176)
(177) ) » G @IADC xKJ¸DMLON0P C p= J Q*LRN p(qTS @BADC xKJ¸DMLRN0P C p= J QL C p(q @BADCFE Z H ×u z}w3~V| p|U½ |uAV p `z}yT{}z}uA|y^~ A ¡|pvxu s y pA pp ufÎpÔ|6ÎmAp0yvx z|ÌÎmAp vx6¡}p p:ÖI½/ÎmAp AvxÐ.|uw~p AuAwp6~ z}uAvApÎvz}u vÎmApÏAvx ~p:Îp0Ù/t ~.mAp 6AvxÐ.|uA~ p0|uA V Å HXW w² s ÏvxÎmAp {} z}Az|Ì z|ÎÎvz}uA3vu s y Ñ _ A Az}wyxpo vxBÎz Ap ~vxwp6¾$mAp mAp V Y CZ² (&² ² @- D½}ÎmApp ÆzÌ^yxyµvu V w~.m?m/ @- ;² [ µ \ ½/vx3p oC×z}$uAz|Ñ TvxuA~ pvÀÆvx%p|vp%Îz ¾z} 1"z}u?`z}vxufÎ4m/|u9Îz0¾z| 1G¾$vm9~AС}p¾pvxufzTAA~Wp V &² e׿ Î|uw`z} p p:kÌÍz}3`z}vuT |uA^ ]Gvxu s y Ä Z a µ V c[µ ] \c _UR ` Z b Å ¤h 8 8 )+
(178) % ,o()H * . ]i.
Documents relatifs
R´ esum´ e : On pr´esente des r´esultats autour du probl`eme suivant: pour un point mat´eriel dont l’acc´el´eration est born´ee par une constante donn´ee, et pour un
Ensuite, pour déterminer lesquelles des voix créées pouvaient être qualifiées d’« androgynes », nous avons fait un test de perception dans lequel nous avons demandé
Toutefois, des améliorations sont à prévoir car bien que la protection induite par ces glycoconjugués soit significative, elle n’est cependant pas optimale pour mettre
L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des
Venant compléter les nombreux guides spécialisés qui informent le touriste gay sur les différents lieux et structures qu’il pourra fréquenter s’il recherche son
L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des
[…] Chez nous, le parterre […] est composé communément des citoyens les moins riches, les moins maniérés, les moins raffinés dans leurs mœurs ; de ceux
But on another hand, increasing q at constant operative pressure results in decreasing the equilibrium pressure, by decreasing the operative temperature (Figure 9), and finally, it
