The Euler Scheme for Lévy driven Stochastic Differential Equations
35
0
0
Texte intégral
(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. The Euler Scheme for Le´vy driven Stochastic Differential Equations Philip PROTTER , Denis TALAY. N˚ 2621 Juillet 1995. PROGRAMME 6. ISSN 0249-6399. apport de recherche.
(3)
(4)
(5) !"#$
(6) &%' (*)+%,- . "/ !0$1%' (2354&(6%' 7$8) 29 :';=<>;>?@9A&BC&C&DAFEHGJILKNM,;PO&C QLR QTSUEVE W,XZY\[X^]`_7_7acbcd ef]-gih"jNg+k^hVlma"noZlqpsrtjuavw_xYNyuz{g|lik}]-oZliYn&aVo~giY\[lmhVliaVgnj_7z"Xlirtjua W'XZYZaVo6 _7a"[t] ]`YXo~yacXZa"h}uaXZhan\bd jNl|gqgiaVo* \0d Tw][ak # V -\ > ¡Z¢^£i¤V¥§¦|¨" ª©¦«¥§¬#¨" `¥Z¢¯®>°J¤V¡£|¨'±2¢^¥¬N¨`²³¥Z¨!³¨"£µ´-¢¶³¨"±¢¦µ ¥¯¢·"¡Z¨"®¸²\¦«¹¢^¡Z¢^ ¥¦m¤V£-¢}º¼»¤V¥§¦|¨" N³V½ ©'¢7³¾¥§»N²¿ ¥§¬N¢7¤VÀÀt¡Z¨Á`¦«±*¤V¥¦q¨" LÀ¡¯¨"£|¢^±Ã¨"ÄÅ ÆfÇÈiÉTÊÌË Â`¿Å ÆÇuÈÌ#ÍÉ Ê Î Ë^½+©¬N¢^¡Z¢ÏÈiÉTЧÑÒ8ÓÕÔ7ÓÕÖ!˦|³T¥¬u¢ ³§¨"£«»¥§¦|¨" ¨"Ĥ³¾¥Z¨`׬¤"³¾¥¦qײ¦µ¹¢^¡Z¢¯ `¥¦m¤V£+¢}º¼»¤V¥§¦|¨" · ¨Ê ´-¢^¡ N¢}²1Â`¿ ¤ØÚÙ¯´`¿#À¡Z¨`×¢}³³TȸÛÜÐ>Ë^½ÈÌ#ÍÉ Ð Î Ë!¦|³~²¢^Ý N¢}² Â`¿&¥¬N¢TÞ+»£q¢¯¡ª²¦q³×^¡Z¢¯¥§¦|ß{¤V¥¦q¨" &³×¬N¢^±2¢©J¦«¥¬³¾¥Z¢^À Îà0á ¦µ¥¬L¤VÀtÀ¡Z¨"À¡¦m¤V¥Z¢T¤"³§³¾»±cÀ¥¦q¨" N³!©,¢T³P¬N¨©â¥¬¤V¥ ¥§¬N¢2¢^¡¡Z¨"¡6Å ÆfÇÈiÉ Ê Ë'ãäÅ ÆÇÈÜ#ÍÉ Ê Î Ëª×V¤V LÂw¢¢¯Á`À¤V N²t¢² ¦µ LÀw¨©'¢^¡Z³¨"Ä Î å ¦«Ä¥§¬N¢2ØÚÙ¯´`¿ ±¢{¤"³¾»¡Z¢c¨"Ä~Û@¬¤"³ Ýt ¦«¥¯¢J±¨"±¢^ ¥Z³'¨"Ä+¨"¡Z²¢^¡¬¦q·"¬7¢^ N¨"»N·"¬ àçæ ¥§¬N¢¯¡§©¦|³§¢¥¬N¢¡^¤V¥Z¢~¨"Ä+ר" `´-¢^¡Z· ¢¯ u×¢¦|³J³¾£|¨}©,¢^¡¤V N²*¦«¥Z³'³¾Àw¢¢}² ²t¢¯Àw¢^ N²³,¨" x¥¬N¢!Âw¢¯¬¤^´¦q¨"¡!¨"ÄÜ¥§¬N¢!¥^¤V¦«£q³¨"ÄÜ¥§¬N¢ØÙ^´¿±¢V¤"³¾»t¡Z¢ à è ¬N¢~³¾¦µ±»£m¤V¥¦|¨" *¨"ÄÜ¥¬u¢f¦µ N×^¡Z¢¯±¢^ ¥¯³ç¨"ÄÈ=ÛÚÐ>˶¦|³f¤V£|³¨c²¦q³×^»N³³¢}² à é &ê7°ç£m¤"³³¾¦µÝN×V¤V¥§¦|¨" N³ àÚë ¡¦µ±*¤V¡¿ìîí"ï ð~ñVï\½uí ò"ó!ï-ò`ôwê¢×}¨" N²N¤V¡§¿ì¶í ò °,ï-ò`½uí"ï"õ\ö"ï\½uí"ï Þ¶ï-÷`½í ò"øù"ï à ú#û-üwý¾þÿ ê¥Z¨`׬¤"³¾¥§¦| × !¦«¹¢^¡Z¢^ ¥§¦i¤V£ÚÞ¶º¼»¤V¥§¦|¨" N³V½\¤VÀtÀ¡Z¨Á`¦µ±¤V¥§¦|¨" Ú½ØÚÙ¯´`¿2Àt¡Z¨×}¢}³³¢}³ à.
(7) !"#%$%$'&)(+*-,/.10324$%5)(+*76 8:9";=<?> 9A@B
(8) C)D E%F)F E)C5)2G.:9H"IH<KJMLIKB
(9) C)E DNB
(10) C DNB
(11) OKBQPNE D CGRLA,/$G5)(+*-ST,/2 *VU&NWJX5Y*-Z%,B ST5Y*03[/U5)2G.M")*-5Y*03U *\03[/U ]^_#%(\.%#%,A`a20cb),/(\U 0c*Q8N]Gde,/U+*Kf5NWg5/8),*\*-,N]> 9hDiYC)EijBF k)Cl])`H"ImR n=B
(12) ST5Y0coqp_$G(&Y**-,/(VrAS5N*VZsR $%#%(+.%#%,NR ,.%# !V!\> 9At> Ih"& $%Z035YBuIa2 *03$'&Noc03U]%PYE)E D (& #*V,K.%,/Uf#%[03&Yo3,/U ]vaR ^RwF E)C]%E xlNx%Fzy{5Yo36s& 2%2%,|,/.%,-}']%;%(\5)2G[/,NR n=B
(13) ST5Y0coqpq*V5No35 8~raU& $%Z035R 032%(+035GR Wg(.
(14) ) ( ^ 7L T) T4&(6%' 7$8) L"/ !$&%' T) )+%' (*)Ì%'-4&T) ~7$8 L"%,6)8(c $ ! T))8) L
(15) Þ+ 7¡Z¢^£m¤V¥¦|¨" Ϥ¯´-¢}× ²¢}³,±Ù¯¥§¬N¨²t¢³²¢ªx¨" `¥Z¢~°¤V¡£q¨Àw¨"»¡¡ZÙ}³¨"»N²\¡Z¢×¢^¡¥^¤V¦µ N¢}³,Ù}º¼»¤V¥§¦|¨" N³ ¦« `¥ZÙ}·"¡Z¨"®¸²¦µ¹Ù¯¡¯¢¯ `¥¦q¢¯£µ£|¢}³}½ç N¨"»N³*Ù¯¥§»N²¦q¨" N³T£i¤Ï´`¦µ¥Z¢³§³¢#²¢&ר" `´-¢^¡Z· ¢¯ u×¢#²¢&Å ÆfÇÈÌÍÉ Ê Î Ë0´-¢^¡Z³Å ÆfÇÈiÉ Ê Ë^½!¨ ÈiÉTЧÑÒÓ ÔÓ ÖfË¢³P¥2£m¤ ³¨"£µ»¥¦q¨" ² » u¢#Ùº-»¤V¥¦q¨" ²\¦«¹Ù^¡Z¢^ ¥¦q¢^£«£q¢#³¾¥Z¨`׬¤"³¾¥¦qº-»N¢7· ¨"»´-¢^¡ NÙ}¢#À¤V¡» À¡Z¨`×¢}³³¾»u³f²t¢ØÙ^´¿È=ÛÚÐ>˽ÈÜ#ÍÉ Ð Î Ëf¢}³¾¥~²Ù^Ý ¦ÜÀ¤V¡~£q¢T³×¬NÙ^±¤c² Þ+»£|¢^¡~²¢À¤"³ ÊÎà ê¨"»N³~²¢}³!¬¿`Àw¨"¥¬}³¢³ ¤VÀÀ¡Z¨"Àt¡¦|Ù}¢}³u N¨"»u³s±¨" ¥§¡Z¨" N³wº¼»N¢Ü£ ¢¯¡¡¯¢¯»¡Ú² î¤VÀÀ¡Z¨}Á¦µ±*¤V¥¦q¨" Å ÆfÇÈiÉTÊÌË}ãJÅ ÆfÇÈÌ#ÍÉ Î ËtÀw¢^»¥ ^¥¡Z¢+²tÙ¯´-¢^£|¨"ÀtÀsÙ}¢ ¢¯ &À»t¦|³³¯¤V N×¢}³!²¢ Î å ³¾¦+£i¤T±¢³P»¡Z¢ ²t¢ØÙ^´¿1²¢TÛ ¤²¢}³J±¨"±¢^ ¥Z³!² ¨"¡Z²\¡Z¢¤"Ê ³³§¢ßTÙ^£|¢^´-Ù à ¤V u³f£q¢×{¤"³ ר" `¥¡^¤V¦µ¡Z¢¼½£i¤´`¦«¥Z¢}³³¢²¢~×}¨" ´-¢^¡Z· ¢^ N×¢~¢}³¾¥À£µ»N³çÄ=¤V¦«Â£q¢¢¯¥f²Ù¯Àw¢^ N²²¢f£m¤º-»N¢¯»u¢ ²¢!£m¤±2¢}³¾»¡¯¢f²t¢fØÚÙ¯´`¿ à ¨"»N³f¤VÂs¨"¡¯²¨" N³Ù}·-¤V£|¢^±¢¯ `¥,£m¤º-»N¢³P¥¦|¨" x²¢£i¤³¾¦µ±»£m¤V¥¦q¨" 7²¢}³,¦µ N×^¡ZÙ¯±¢^ ¥¯³ç²¢cÈ¸Û Ð Ë à é &ê7°ç£m¤"³³¾¦µÝN×{¤V¥¦q¨" N³ àÜë ¡§¦«±*¤V¡¿sì í"ï ð~ñVï\½í ò"ó!ï-ò`ôuê¢}×}¨" N²N¤V¡¿sìí ò °,ï-ò`½í"ï"õ\ö"ï\½sí"ï Þ¶ï-÷`½uí ò"øù"ï à Fÿ ^ý Þ¶º-»¤V¥¦q¨" N³,²\¦«¹Ù^¡Z¢^ ¥¦q¢^£«£q¢³'³¾¥Z¨`׬¤"³¾¥¦qº-»N¢³V½¤VÀÀ¡Z¨}Á¦µ±*¤V¥¦|¨" ܽ-Àt¡Z¨×}¢}³³¾»N³'²¢ ØÚÙ¯´`¿ à.
(16)
(17) ! #"$%&' ( !*) +. . &$ %ç ! L8f%' 7$ . aTh"Y\nukZlmyuaXfo^a0/¸YgqgiY21 lmn[kZo^YNhw]`k§oZlmhTyNl43ÜaXZa"noZl ]-g¶a"rjw]¼oZlmYn 5 Ð 7 6*8:9<; 8>Ð =? 6*@BACEDGFH@JI 6 K¯GL 1ªa"XZM a 6*8#lik ]`On N P0QBRTS`]¼gmja"yFX^]nyYU _ S`]`Xl W] VNgma`v =?YX C7lik&] D[Z]\2RP_#]¼o^Xl4^]S`]¼gmja"y_/¸jnhVoZlmYnFYW/ N P0Q vÜ]ny F Ð ClikT]`M n \2R¾yNli_xa"nk§lmYnw]¼:g `+az ScbXZYNh"a"k^kvnjNg|gJ]¼o oZlm_7 a dfeJgYX Vw]ih h[XZY\junyLY\jn `+az Scb XZYNh"ak¯k^a"k? ]`nuy8kZo^YNh}s]`kZoZlih7yN4l 3Ìa"XZa"noZl ]¼g!arjw]¼oZliY\nk2[\kY S\a"XZna"ly Vmb8[anuaX^]¼gk^a"_*li_#]`XoZlin[]-gia"k v 1a XZna /¸a"X o^Y&W,XZY`oZo^a"pX oqr qGsTetn o^Nlikªw]aX{fv 1a6hYnkZliya"Xo^uacXZmY VNgma"_ WY /'h"Y_7jNoZlinu[ N vJw ? 6 Ê Cx/¸YXª] [`4l S\a"yn /¸jnhVoZlmYyn w ?YX C~]nyL]2fp ^uay nYn X^]nyY_ oZli_xJa zpe . a!wr] S\aJ{o 1YT_#]¼lmn_7Y`oZ4l S`]-oZliYnkk e}|~ua!pwXZkZo,Y\naJlmko^a~nj_7a"Xlmh ]¼gk^YgmjNoZliY~ n VmbLYno^na RZe]XgmY _xaVo^YNyukªWY /¶lin\o^a"[XZY R¾yN4l 3Ìa"XZa"noZl ]¼g+arjw]¼oZliY\nk Y /ço^ao bua I C 7O IC9 ;a $G I 9C} ICO$Ii IC i å ¡4¢¤£ IDm¥(C¦K¾c L ? ? ? ? ? f ? 1ªa"XZa lmk ]n aVgqg|liNoZlmhYaX^]¼o^Y§ X 1 lqo^ `Ülik^h}tlqo ¨Lh"YNaa ©1hVlia"n\o^k&]ny o^ua_xa ]k^jXZa £ ? I X Clmk yaVpwna"y ]k /¸Yg|gm2Y 1 kk 5çgiaVJo ªyVÚac]7_7a ]`k¯jXZaTY\«n N PJQx ¤¬ ¢ k^juh}Ïo^w]-o ,. -. ; . ?a i®#¯±° EC ª ? Dm Cx². ]`ny7giaVo CHVa0]³D0Z\2R¾_#]-o^Xl´^ S`]¼gija"yu`Ülmuk^h}Nl|o¨ /¸jnhVoZlmYn#yaVpwna"y7linuN PJQkµo^uanÜvc/¸YXJ]nmb·¶JY\XZaVg k^aVoJ¸º¹»= N P ?YX Q 1ªYk^aThVgmYk^jXZaTyuYNak nYo~h"Y\no}]¼lmnMduvuk^aVo £ ? Ii¸Cx¼ 7 ª ½³ =? CI³¾¿¸ ¢·À. juX¶k^a"h"Y\ny6_xYoZ4l S`]-oZliY\n6lmkÌo^a!h"Y\_7jNo}]¼oZliY\n2Y /No^a!ia ^uahVo}]¼oZlmYnWY /$/¸jnhVoZliY\ns]-gik¶WY /k^Y`gijNoZliY\nuk Y /#Á$Â0ÃÄ kc]`XlikZlin[u/¸XZY_ÃuXZYÅVw]WVNl|gqlikZoZlih7_xYNyua{gikv/¸Y\Xai^s]`_7Ngiao^uaxh ]¼gmh"jNg ]¼oZlmYnY/o^aa"na"XZ[bYW/ o^a~XZa"k^Y\nuk^aY/Ü]ªk§o^YNh}w]kZoZlih!y$bNnw]`_lih ]-gkYbNkZo^a"_>5Ìlmn2o^a!g ]¼oZo^aX,h ]`k¯avYmVmSlmYjkZg4bTo^a]XYh`YkStl ]n kZo^XZjhVo^jXZacYW/ ? 6 Ð C,lmkJlm_7Y\Xo}]noo^Y7yaaS\aVgmY&kZli_7Ngiac]-gi[\YXl|o^_7kY/¶k§lm_2jNg ]¼oZliY\n µu]XZa"k^jNg|o~yja o^Y \]h"YNy ]`nuyW,XZY`oZo^a"0X oî2 s+kZo}]¼o^a"k!o^w]¼ovujnya"X~]n ]XZYXl ]¼o^aTh"Y\nuyNlqoZliYn&Y\n = ?YX C^vuo^aTk^YgijNoZlmYn&WY / ]*k§o^YNh}w]kZoZlih0ytÆl 3Üa"XZanoZl ]-g+a"rjw]¼oZlmYn WY /+{o bNa K¯G L,lmk ]k§o^XZY\n*[ ]YX h`2Y S#XZYNh"a"k^k!4l /']ny YnN4g b#Æl /o^a yXÆl Slin[&nYlik^a ? F Ð Clikª*] `+az Scb&XZYNh"a"k^kk µto^Nlikªia ^uNg ]-link~Yj±X /¸YNhjukY\nÏo^Nlik~h ]k^a e . a"l n F5liky] ¶!XZ2Y 1ªntl ]n_7Y`oZliY\jn |,]-g r] b]`nujy |(j Vw]XZ[Y oîm d2s'sr] S\a7k^kY 1ªnLo^w]¼0o 1ªa"n =?YX C lmk k^_7YNY`o^ ]`ny1Æl / ?6 Ç Ð Î Cliko^uacXZYNh"a"k^kh"Y\XZXZa"k^YnyNlin[o^Y*o^u~a Ã,jNgma"X k^h}a"_70a 1 lqo^ kZo^a"u zÈ¤É K=k^a"a VÚaVgi2Y 1Ê/¸YX]TyaVpwnNl|oZlmY n L^vto^a"*n /¸YX!]ck^_7YNYo^§ /¸junhVoZlmY*n w ?YX CH1 lqo^1ÚYÆg bNnY_l ]¼gw[XZ2Y 1~o^Üvo^aa"XZXZYX N vJw ? 6 Ê C} N vJw ? 6 Ê Î C!h ]> n Vacia ^s]`nyuayy 1~l|o^ XZak¯Úa"hVoo^*Y É5 Ç N vJw ? 6 Ê C}]N v0w ?
(18) 6 Ç Ê Î C 7ÌË 9ͺΠ° À É É ®Ï Ъk§lmn[xo^ao^ahnNlirja"kTY /kZo^YNh}s]`kZoZlihh ]¼gmh"jNgijkWY /
(19) S`]Xl ]-oZliY\nÜ v ¶]¼gq4g b]`njy |,]-g r] bÑoq s'wr] Sa7k^2Y 1 n o^w]-o o^acXZa"k^jtgqo]-gik^Y7Ygmy±k /¸Y\X ]`mn b _7a ]k^jX^W] VNgmac]n«y VÚYjnyuayy /¸jnhVoZliY\yn w ?YX C±1ªuanÏo^aTlinNpwntÆl R o^ak§lm_#]¼g¶[\a"na"X^]¼o^Y\XWY / ? 6 Ð C!k]-oZlikZpwa"k~j] Ò¯jnN4l /¸Y\XZ_ m bNYNa{g|g|lmNoZlihVlqo b$Ó#h"Y\nytlqoZliY\n e tKt. 2ÔPYxPF.
(20)
(21) ³p±
(22) } +*~ q. aXZ a 1a /¸Ygqgi2Y 13o^ua0k§o^X^]-o^a"W[ b1WY /xoîÅ dks5}1aTk¯jY\k^a o^w]¼o w Cs]`kyuaX4l S`]¼oZÆl Sak j&o^YYXZya"xX q jto a_#]hanYÏ]`k^k¯j_7NoZlmYnLY\n o^a2[\a"na"X^]¼o^Y\X YW/ ? 6 Ð Ce!| ?YX aXZYNY/,jk^a"y«/¸Y\X o^a ¶!XZY21 nNl ]n h ]k^aLyYNa"k#nY`oÏh¼]XZXEb o^XZYj[3]`nuy3na"a"yk#o^Y<Vaä]yw]No^a"y e |~ahw]`nu[\a"k7linâ]XZY]`h3]`XZa h"Y_x_7a"no^a"y&Y\nlin&yaVo}]¼lqgslmn>ÁjfVk^a"hVoZlmYn*q e $e}|~a nw]¼o^jXZaY/o^aXZa"k^jNg|o^k!_xYXZa"Y2S\a"X,lik!yNlÆ3Üa"XZa"n\oke . a"no^açZj_7k,Y / F ]`XZ± a VÚYjnya"y2o^aYXZya"XWY /Úh"YÅn Sa"XZ[\a"nh"#a Í Î å likuXZak¯aEX Sa" y e}.âuano^a Zj_7kT]XZajcn VY\junya"y o^a*YXZya"X Y /,hYmn S\a"XZ[anuha2ya"Úa"nyuk0Yn o^aco}]¼l|gY /,o^a `+az Sb _7a¼]k^jXZa WY /:F³e 2Y 1aa S\a"X!4l /+o^aZj_7kª]XZ# a 1aVg|g VÚa"wr] Sa"yÌvs]`k!XZa wa"hVo^a"uy Vmb#o^³a `+az Scb1_7a ]k^jXZawr] Slin[l|o^k pwXZk§oªk^aa S\a"X^]¼g¶_7Y\_7a"no^kpwnNl|o^a` v 1aTkZoZl|gqg¶sr] S\a]X^]¼o^a ° ÈGÉLWY /h"Y\mn S\a"XZ[a"nh"ma e |~a2yNlik^h"XZa{oZl ¨ ]-oZliYnWY /±¶JXZ2Y 1ªnNl ]nyX4l S\a"l n Á$Â0ÃÄ kw]`k Vaa"nLn2Y 1 ]nw]¼Æg bNk^a"yÏlmnL_#]Ån b w]Úa"XZk /¸Y0 X S`]XlmYjkhYmn S\a"XZ[anuha#h"Xl|o^a"Xl $] 57k^a" a |']¼g r] boq 2 sY X giYNa"ya"n ]ny Wçg ]-o^a"On oqi sx/¸YXcXZaa Slmaa 1ªrk e | ah¼]k^aWY /HÁÂ0Ã Ä kyX4l S\a"« n Vmb&yNlmk¯hYnoZlmnjYjk!k^a"_li_1]XoZlin[t]¼giakfw]`xk Vs]`XZaV4g buVÚa"a"n#liÅn Sa"kZoZlm[]¼o^ay e TjuXo ¨&]`ny W,XZY`oZo^a"* X o|¼k s!wr] S\a#k§o^jyNliayäo^a#h"Y\mn SaXZ[a"nh"almnäg r] 1WY /!o^a#nYXZ_1]¼g|l ¨"a"y8a"XZXZY\JX /¸Y\X o^a2w]¼o^ Vmb w]¼o^M Ã'jtgma"X k^h}a"_7a`v]`nu y !6ak§oZlm_#]¼o^ak WY /¶o^§a Ã,jNgia"X~k^ha"_7aca"XZXZY\X ]`XZac[4l S\a"n Vmb TYw]¼o^k^#j "$ lm[]]nyW,XZYoZo^a"~ X o|¼k se % n7lm_7Y\Xo}]no~ÚYlin\o!liko^aTnj_7a"Xlmh ]¼gÌaa ©#hVlma"nah b#WY /Ìo^ua Ã,jNgia"Xk^ha"_xah"Y_xs]`XZa"y7o^YY`o^a"X ]XZkY ^tli_#]-oZliY\nH_7a{o^uYNykWY / ? 6 Ð Ce·t§n w]XoZlmh"jNg ]`X0o^ua Ã,jNgma"X2k^h}a"_7a#k^juÚYk^a"kTo^w]¼oYna7h¼]n kZli_jtg ]¼o^ao^ualinh"XZa"_xa"no^kTWY /'o^ a `+az ScbXZYNh"a"k^³k F³e % hVo^jw]¼gq4g b\vslinX^]`hVoZlih ]-gk§lqo^jw]¼oZliY\nk o^a2g r] 1 WY /:F Ð [FH@!_#r] buVÚaia ^uNg|lmhVl|oZÆg buhn2Y 1 n 5H/¸YX!ia ^s]`_7Ngia`v Á`o^jih h&]n&y giaVlmnuaJX oq( 'rsÜwr] SaTXZY\Yk^a"y&] _7YNyaVg /¸YX o^aVgma"YnanYlmk^a6o^w]¼o6h"YjNgijy VÚa2lmno^a"XZXZaVo^a"y ]kT]#Yk bN_7_xaVo^Xlih7kZo}] Vtgm a `+az Scb XZYNh"a"k^k WY /lmnyuaa ^*) K o^aa b/¸Y\jnu+ y )-, ° À.0/ Le Áa"hVoZlmYnF uXZak¯ano^k&]¼gm[YXlqo^_lihLXZYNh"ayujXZa" k /¸Y\X7o^a kZli_jtg ]¼oZlmYn#WY /Úo^a linh"XZa"_xa"no^k!WY /ç]0h{g ]k^kY /`+az Scb1uXZYNha"k^k¯a}k 1ªtlmh&]`XZa gql h`aV4g b7o^YclinhVgmjyuaªjk¯na /¸jtg _7YNyaVgikª]XlmkZlin[ /¸XZY_ anu[`lina"a"Xlmn[&]Ng|lih¼]¼oZliY\nrk e t§n7 ] /¸YXo^h"Y\_lin[w]`a"X 1xa 1 lqg|gwyNlik^h"jk^ko^XZa"ali_7ÚYXo}]`no,XZÅY Vtgma"_7k'XZaVg ]-o^a"y2o^Yo^aXZa"k^a"no ]XoZlmhVgia e g+liXZkZo v /¸Y\X_7YXZa*h"Y_xtgmia ^äkZl|o^jw]-oZliYnko^w]nLo^Y\k¯alimn S\a"kZoZli[t]¼o^a"y8a"XZa`vÜl|oTlmk6k^Y\_7aVoZli_xa"k Y\k¯kZl Vtgma o^Y#]`uXZkY ^tlm_#]¼o^ao^ag r] 1UWY /:F Ð FH@lqo^k^aV4g /§v 1ªNlih}1lmk ya"kZlmX^W] VNgia lmyn Slmaa 1@Y /¶kZli_jtg ]¼oZlmYn XZmY VNgia"_xrk µc1aya"k^h"Xl VÚa o^aaa 3Ìa"hVo!Y /+o^tlmk]yyNl|oZlmYnw]¼gÌ]XZkY ^tli_#]-oZliY\n1Y\n7o^ah"YÅn Sa"XZ[\a"nh"aX^]-o^a WY /wo^ a Ã'jtgma"X,k^h}a"_7a exÁa"h"Y\nuy̤v 1a 1 lqg|gkZo^j$y b2o^ah"YÅn Sa"XZ[\a"nh"aX^]¼o^aWY /Ì]nY`o^uaX,]`uXZkY ^tlm_#]¼oZlmYn _7aVo^YNy#WY / ? 6 Ð C^$v Vs]`k^a"y7jY\no^a]XZkY ^tli_1]¼oZliY\n7WY /}F]VÅb#]Th"Y_xYjny#W¶Ylmk¯k^Y\n7XZYNh"a"k^kk 5Ìo^Nlik ]XZY]`h ]¼gqgi2Y 1ªko^ua#hYnkZliya"X^]¼oZlmYnY /~]¼g|g'o^a7h ]k^a"!k 1ªa"XZa#Ynalmkc[4l S\a"no^ua `+az Scb_7a¼]k^jXZa WY /#Fc v 1 Nlmh XZmY VwW] VN4g blikc_7Y\XZa7h"Y_x_7YnLo^w]no^Yk^~a /¸Y!X 1ªtlmh8Y\nualikc[Æl San o^ag r] 1 Y /!o^a linh"XZa"_xa"no^kcWY / FºK1ªtlmh[\a"na"X^]¼gq4g b h ]nnYJo Vaa¼]kZl|Æg b ya"XÆl Sa"jy /¸XZY\_ o^ a `+az SbL_7a ]`k^juXZWa LeJ. a ]¼gmk¯Y h"Y\_7w]XZao^a7nj_7aXlih ]-g!aa ©#hVlma"nah b8WY /Jo^tlmk2XZYNh"ayujXZao^Y o^ua Ã,jNgia"Xck^ha"_xa 1 a"[n VÚYo^ h ]n Va&jk^a" y e¿t¾o7lmpk 1Y\Xo^m 1 Nlqgia nuna Sa"Xo^aVgma"k^ko^Y8]nnYjnh"a#a"XZa&o^w]¼o /¸XZarja"noZ4g b o^ya Ã'jtgma"X k^ha"_7a7lmk6o^a#_7Y\XZa#aa ©#hVlma"no*]¼gm[Y\Xl|o^_ K lin8o^a"XZ_7kWY /o^a#njp_ VÚa"XWY /h"Y\_7jto}]-oZliY\nukco^Y XZjn o^YÏanuk^jXZa7]&[Æl San8]h"h"jX^]`ah bLepg+linw]¼gq4g b\v 1pa 1~l|gqg,ia ^No^a"ny o^ag ]¼oZo^aXTnj_7a"Xlih¼]¼g'uXZYNha"yjuXZax]ny l|o^ka"XZXZY\X]nw]¼Æg bNkZliko^Y2o^ah¼]k^a Y /Á$Â0ÃÄ kyX4l S\a">n Vmb#yN4l 3ÌjukZlmYnk]ny WY`lik^k^Yn#X^]`nuyY\__7a ]`k¯jXZa"kv 1 Nlmh o^jk linhVgmjyua! k `+az Scb XZYNh"a"k^k^a"kk e . a_#] haT]*X^]¼o^a"XyaVo}]¼lqgia"y&XZa"k^a"no}]-oZliYn WY /¶XZak¯jNgqo^± k 1ªNlih} ]`XZa 1aVg| g hnkY 1ª>n Vmb&k^a"hVl ]¼gqlikZo^k WY /:`+az Scb XZYNh"a"k^k^a" k Vjto0]XZacÚa"XZw]k naa S\a"Xo^aVgma"k^k nYo 1aVgqg hnkY 1ªnÏlmn [\a"na"X^]¼g e V J1. > 9at> I.
(23) .
(24) ! #"$%&' ( !*) +.
(25). aTya"nYo^a³Vmb*FH@!o^aZju_x YW/ ? F Ð C]¼ooZli_xa 5*FH@ 7 FH@H_FH@EA e | ~ a `+az Scb&ya"h"Y\_7Y\kZl|oZliY\nÏY /
(26) F3lmkk5 Ð 7LÐ 9 9<; k å ? Ð ? IDÅC ª ? Dm CYC 9 8 @B Ð *FH@# "!E# å¡ À F. .. ¾. K cL. uY\Xc]/¸jnhVoZlmYn$yaVpwnuayäY\n&% ¬ IBz('
(27) ZlN P0Qv 8)$ 1 lqg|gJyuanuY`o^ao^a7ya"Xl4S`]-oZl4S\a 1 lqo^8Ð/. XZa"k^a"hVo o^Y o^a oZli_7aMS`]`Xl ]Vtgma`v ]ny +* $'1 lqg|gya"nY`o^a o^aLya"Xl4S`]-oZl4S\aM1 lqo^ XZa"k^Úa"hVo7o^Y o^ua-, k^s]`h"a hYNYXZyNlinw]¼o^amet§nÏo^ack]`_7a!1~]rb\v 8E8)$Ê1 lqg|g¶ya"n Yo^ao^ak^a"h"Yny ya"Xl4S`]-oZl4S\a2Y/0$1~l|o^LXZak¯Úa"hVoo^Y o^a oZlm_7 a S`]`Xl ] Vtgma`vu]`n y /¸YX!]c_2jNgqoZl|linyia ^yN $ya"nYo^a"ko^a ya"XÆl S`]¼oZÆl S!a 1~l|o^#XZa"k^Úa"hVoo^Yk^s]`h"a hYNYXZyNlinw]¼o^ark e g. 2 (c%, 7Õ 7$&# 3x$8 7 %' ) 1. +aVo Vao^ack^YgijNoZlmYn YW/±K¯GL/¸YX~]7[lÆSan ]`nuy pf^ua"yM`+zaSbÏXZYNh"ak¯kF³e n[a"na"X^]-g>v¼o^ag ]r1 YW/No^aX^]nyY_S`]`Xl ]WVNgma6 Ê lmkçjn(hnY21 n e . aXZYY\k^a,o^YyNlik^h"XZaVoZl ¨"aK¯GL lmnoZli_7ae`+aVo ÊÎ VÚa2o^a7yNlik^h"XZa{oZl ¨ ]-oZliYnkZo^a"Y/,o^aoZlm_7alin\o^a"XES`]¼g4% ¬ IYz('J]nyLgia{o ?x6 Ç Ð Î CVa2o^a Nlma"h"aa 1~lik^ach"YnkZo}]n\o XZYNh"ak¯kyaVpwna"«y VÅb 6 Ç 8Î 7 6*8]`ny 6 Ç 5Î K q$L 76 å8 Ê:9 Î 7 6 Ç Î Ê;9 Î 9 = ?x6 Ç Î Ê:9 Î C ? F 5 76 å8 :Ê 9 Î ]F ;Ê 9 Î C À gXZY_ ] X^]-oZlih ]-gNY`lino'WY /(Slmaa 1cvo^Nlikk^ha"_xa!XZa"rjNliXZa"ko^w]¼oo^ua!g n] 1 WY /o^ak§o}]-oZliY\ns]`EX b]nyclinyaa R Úa"nya"nolmnuhXZa"_7a"no^#k F 5 76 å8 :Ê 9 Î F ;Ê 9 Î h ]n Va~k§lm_2jNg ]¼o^a"y7Y\n#]h"Y\_7jto^anX e:gYX'h"YnkZliya"X^]-oZliY\nuk Y\nÏo^NlikªY`linovuk^a"~a Áa"h{oZliYn $ e . aTn2Y 1@kZo}]-o^a6Y\jXfX^]-o^acWY /h"YÅn Sa"XZ[\a"nh"aTXZa"k^jNg|o^kk e| ach ]k^ a 1ªa"XZ§a F@s]` k VÚYjnya"y2Zj_7kv Y\Xaa S\a"n kZli_xtÆg bÑ1ªa"XZaÏo^a `+az Scb _7a ]k^jXZa s]`k7]-g|gl|o^k7_xY_7a"n\o^k7jo^Y < /¸YXk¯Y\_7a <Hg ]`XZ[a anuY\j[Ìvs]¼gqgi2Y 1ªk jko^Y#XZaVg ¤] ^&o^a]k^k^j_7NoZliY\nukY\n =?YX C ]`nu>y w ?YX C^vÚ]`n·y 1acmY VNo}]-lin] />]kZo^a"XX^]¼o^a e guY\> X = ¬ @v ? ¬ ]nBy A¾CED» G¬ ¢ vsk¯a{o ` #6 t. F ? ?MC. ¼7. . . G. ° 9 ® 9 ® 9; A. . . 9 9 9 Î ; A. GG. ªa"XZa~ª1lmk o^a~`ÌznScb&_7a ]`k¯jXZa]k!lmn[K¾cL^v]`ny G 1. uY\X ? g. tKt. 2ÔPYxPF. acyua{psna. ¬ 1. ® ª ? DccC ® ª ? DcC. HJILK ? ?¿Cx¼ 7NMPORQ ? = F ? M? CYC S 7 ? ?MC±¼ ª ? ½ UT ? ¢ C. 9 Ï. À. À. ® 9 ; A. G G. ª ? DccC. ¾. K cL. ¾b. K cL K 'mL.
(28) b.
(29) ³p±
(30) } +*~ .
(31) W+
(32) # =?YX C + !W+i+#"%$'& = ?YX C )(*0 %( ,+ .-/ .-( r+0 1234+( ,+6574+ 98:4 (0 ;(& # w ?YX C +< !W+i+#"%$'&w ?YX C= )(3 >(0 ,+ .-?.-( r+0 @234+( ,+A5BC+ 98:4 (0 ;(& ED 6·8¾ F$ ?HG C,I. # 1 ,+ ;J +K +0*+L + NM ) ,+ + POQ ) = Y? X C=(0 ( POR NMS >D \E ) (3 # #T=U )C+ VW # 4+K X( ,+ .-/ .-( r+YZ =?YX C9 )(³w ?YX CY [2 \4+Z(0 ,+]5¿+; ^ _/ L4+` a M ( +L ,+ .U / . M K + . 1 < c M . d L C < + M ) e. 0 O ,. + ?. b. Ê. Î. S. Ê C}<N vJw ?6 Ç Ê Î C fgih w LjCk 5 8 ?° MPORQ ? ? ?¿C z0CYC9 H I 5 Ê É8 K l ? ?MC À KHmL |~S jkvuo^uah"Y\nmSaXZ[a"nh"acX^]¼o^aTlmk [Y2S\a"XZna"y«VÅbÏo^acX^]¼o^acYW/linh"XZa¼]k^aTo^Y7linNpwntlqobYW/o^aJ/¸jnhaR oZliY\nuk ?YX C ]`nuy H I 5 Ê 8 K l ?YX Cex| aTXZYNWY /¶lmk [Æl San1lmjn Áa"hVoZlmY«n q e |~a"YXZa"_ feqlmk XZÅY Vs] VN4g bu/>]x X /¸XZY_ VÚaVlin[7Y\NoZli_#]-Tg eH. almnuh{gijyal|o~lin Y\XZya"Xfo^YxuXZ2Y Slmya2]-o gia ]`kZo k^Y\_7aTX^]¼o^aca"kZoZli_1]¼o^a"k /¸YX~]¼gqg `+az Scb&XZYNh"a"k^k^a"kk e! ªjX_#]-lin XZak¯jNgqo lm k |~a"YXZa"_ f e $ e . W+ f N v0w. $. ?6.
(33) n [ # o ) =?YX C +<Z !W+i+#"%$4& >(0 ,+ .-?.-( r+p 1q*4+( ,+r5BZ =?YX C=4+ R8ZC)( (4& n [ # o ) w ?YX C +< !W+i+#"%$3 )(SVR4+ ;4-( ,+ f w ? C f 7 Í ?a Lspt CuL4+ f N f 7 h )( +K4V £wv Tix & ED n zy k# å { ª ? Dm Cx² L4+ x g}|~g £wv ¼ 7S O ?Hx £wv I C )(06*8!¾ spt k?HG C,I # 1 ,+ ;J +L +0 ,+ ;W+ OQ = ?YX C³+ \ _? dLC+<0 $Él¾ C DO ¤¬ ¢ f N v0w. ?6. Ê C}<N vJw ? 6 Ç Ê Î C fdg H I 5 Ê 8 K sÉ. t ?. ²ÊC. À. ¾. K L. ) 0+ )C.
(34) =?YX C +<< ++#" l &Q0 %( ,+ .-/ .-( r+0 12C+(0 ,+<^ =?YX C=C+ 98:4 (0 ;(& ) ~w ?YX C +Ap !W+i+" l )(`V94+ C-( ,+ f w ? C f 7 Í ?a Ls t t CL4+ f N f 7 a )( +K4V £wv v Tix & ED ~y k# å { ª ? Dm Cx² LC+ x g|Bg £wvv ¼ 7 x S O ?Hx £wvv I ° C )(06*8!¾ s t t ?HG C,I. > 9at> I.
(35) '.
(36) ! #"$%&' ( !*) +. ,+ ; J +L +^3 ) C~ ( ) ,+ ;W+ POS ) ( +L ,+ b ? M+K 7 M ÊÎ Ë ?YX W+ )(. . QÎ. É ®. f P ÊÎ f g. HJI 5 Ê 8 K s. N v0w 6 ?. tt ?. ²ÊC,I. Ê C}]N v0w ? 6 Ç Ê Î C 7ÌË. É. ? z0C 9P. =. ?YX CM+ } ? . ÊÎ. L4+B M. ¯. K ¤dcL. acXZYNYW/¸k~]XZaT[`l4S\a"nÏlmnjÁa"hVoZlmYn $e | ~ a /¸junhVoZlmYnk C ]`nuy = C ya"a"ny8Ynw C^v C]ny_7Y\_7a"no^kTY/6*8ke |~aabh ]`nMVa ya"k^h"Xl Va"y K1ayY2o^ËNlm?YkfX lmnxo^aTXZ?YYNX WY /¸k!Y/+o^ao^uaY?YXZX a"_7= k!?YlmXn«Áa"h{oZliYncL^vlin&o^a"XZ_7kYW/+o^aTk^YgmjNoZliYn Y/]1ef]`juh}m bXZmY VNgia"_ XZaVg ]¼o^a"y o^Y7o^a0lmnNpsnNlqo^a"kZli_#]-g¶[a"na"X^]-o^YX~WY / ? 6 Ð C ]`ny1o^ayuaX4l S`]¼oZÆl SakWY / o^Nlmk k^YgmjtoZlmY n e . aJXZa"_#]YX ho^w]-oÆl /o^uapwXZkZ: o q³K=XZa"k^ eumcLÜya"X4l S`]-oZ4l S\a"k,Y /$w ?YX C]`XZxa VYjnya"yÌv¼o^a"n £ v 7 £ v v 7 ¬ e % gik^Yv4l /¶o^³ a `+az Scb&XZYNh"a"k^#k F w]k VY\jnuya"yZj_7k~]n·y 6·8flm!k K/¸Y\Xia ^s]_xtgmGa L,h"Y\nukZo}]`noo^uan K 0$ Ä L]ny K W ÓfL!]XZa]jNo^Y_1]¼oZlih¼]¼g|Æg b&k}]¼oZlikZpwa" ye | a_#]¼lmn lino^aXZa"kZo&WY /ak§o}] VNg|lik^Nlin[o^a ia ^s]`nk§lmYn lmno^a k^a"h"Y\nuy s]-4g /0WY /!|~a"YXZa_ $ e K=hY_7w]XZa¿ y 1~l|o^&ZjkZo]n8ja"0X VÚYjn¿y /¸Y\X o^a7a"XZXZY\iX L~lmko^«Y VÚa#W] VNgiao^YL]`uNÆg bLo^a# Y\p_ VÚa"XZ[ aa ^to^X^]ÚYg ]-oZliY\n1o^a"h}nNlirja 5 u D ) 0+ ( Y ( _Ix m6 Î 9 ® 8 6 # o ,++K # ,V +L + b ÉÈ x Ip f N v0w ? 6 Ê C} x N vJw ? 6 Ç Ê Î 9 ® C} N v0w ? 6 Ç Ê Î C ¢ fg = É ? z C À ® |~aLXZa"k^jNg|o#lmk&]nli_x_7a"yNl ]-o^aLh"Ynk^a"rja"nh"aWY /§K¯¤ dcLeO|~aLnj_7a"Xlmh ]¼g0h"YkZo#Y /o^a Y\p _ VÚa"XZ[ A XZYNh"ayujXZaTlikª_2jh} k^_#]-g|giaXfo^w]n o^a6hYkZo~h"YXZXZa"k^ÚYnyNlin[o^Y7k^h}ua_7a"k Y /YXZya"#X É ® eÁa"*a oîm d2s /¸Y\X]2yNlik^h"jk^kZliY\nÏ]`nyxlqg|gmjukZo^X^]-oZ4l S\aTnj_7a"Xlih¼]¼g+ia ^w]_7Ngia
(37) k /¸Y\Xo^ah ]k^³a FFlik~] ¶!XZ2Y 1 nNl ]n&_7YoZlmY n e t/ CJ]`n· y w ?YX C]XZak^_7YNY`o^#a"nYj[ ]n>y ª&s]`k_7Y_7ano^kWY /]¼gqgÜY\XZyuaXZkJg ]XZ[\a"Xo^w]nNv\o^a =?YX ]`XZ[j_7a"n\o^kTjuk^a"ylin o^aXZYNY /,h ]`n]¼gmk^*Y Vajk^a"y o^Y&k^2Y 1o^s]-ov /¸Y\X]`mn bÏlmno^a"[\a"UX <¿ ¬ vwo^a"XZa aa ^tlikZo^k hYnkZo}]no^k å I ÀkÀrÀ I 6 å k^juh}Ïo^w]-o Ë Ë N v0w ? 6 Ê C} N vJw ? 6 Ê Î C 7 Ë å 9 Ë ® 9 ÀkÀrÀ 9 Ë 9<P ÊÎ Ç É É É ® ]`ny Q Î É 6 å f P ÊÎ fPg Ë 6 å e gÌlmnw]¼g|Æg b\v 1a*jnuya"Xgqlina2o^w]-oTnYÏaVgqg|lmtoZlmhVl|{o bh"Y\nuyNlqoZliYnLlmkXZa"rjNlmXZa"y8YnLo^a2lmntpwnNl|o^ak§lm_#]¼g'[na R na"X^]-o^YX~WY /6 e u ) # ;4+ ,V§+ PI \ ( I B4+ *+Kq/ ;(pLC+S\-( ; qC+0F 7 ? F å I ÀrÀrÀ IaF nC99(4+ .- O |. . . .
(38) . . . . . . . . . !. "
(39). # !. %$. + ,V .VR4+K PO?0 r+0 ,+ ~F- +Y'&,- M )+ r+i+:& 4 ,-( ,+= # ,M3 +K+ ,V9 [ + Y 9(4+ .- O + ,V .VR4+K PO?0 rS + C+ ·+K + POy74+)(44- )+ r++ r+9Z7 ,+L2 M I«" (0 ( "* C+3 (,+_4U ; (.-0/21 _C-( + 4 @ _/o [2\a+Z (?4VW .V 9 _ O0 ,-( ,+ Mu+ ,V .V9C+L PO?0 ³] )+ r+i+. tKt. 2ÔPYxPF.
(40) m.
(41) ³p±
(42) } +*~ . ~ 8 + ) + r+ ) ;(=W+] +K0N ^0 +L2 _+L 0( ,+ 0 ,? ^(4+ .-( 78LMR ,+ )+ r+i+ 0 8 r+ZO4 aV ;W+;+ = ( CV +L/ ;( +i+L }+ (?CV V ;W+;+ + # ;4+ ,V I! ( > I _I«o+~+ c/ +YV9C+ 9+ r+Kc+ .-( + = 9$+ ~'&,- M )+Z r+i+ r+ o # ,V§+ N-( r+ +, V . V9C+L O? r + +/ , +E _ }+ )(/4V V + + r+,I B( ,+ +& r+i+ 0 NM~S +,1 LC+0 0 + (?CV V ; W+;+ 0 , +;V +A0 u LC+ V < ? IcC:& < ? IC 7 =? C ? C 2I I L/ qC++( ~ # +Z (?4V V ; W+;+ Y , +;V 8 ; ;4V r + ,. - u23 + (0, + O~'&,- M )+CU r +i+Y( , + 0 +,I S ; N (09 # [ ?r ! 4+2O0S ! W+i+`p+ , V . V9C+L P O?0 ³ ] + r ++ r +. r +i+ ) 0 N M ,+ 2 L# ) 4$+#+L + P O~B4+)(44- ) + r +i+r +A * ; d+ e O4 C+ M9 ; ( . U +^ 89 + ) + r + ; (\++K0N +YZp ( !*) +`(4+ . -( 8LM·'&,- M ) +Z r +i+r + I~ ³F + + \ §] ) +Z r +i+p ` ~ u+ . . . . . .
(43). . . . . Ð. Ð. F 7 FH89; 8 w ? FH@BACED @. ,+ . . +< 2 -( ; 24+~'&,- M + r++0 )( ,? . . . Ð. Ð. 3 ; @8 Y+ ,u+ q . 0
(44) . 6 }7 6*8:9 ; 8 6*@EA C w FH@BACED @ = ? ?. (*8LM W+i+ POR23 C+2O0 ,+0+ M+K ,V =8,2 . Ð. . Ð. 6 }7 6*8:9<; 8 6*@EA CED @ = ?. \ ,i )
(45). + . . . =?YX C,I . .~ F 8 aE+ ;0 -0N (u &,- M + r+i+= 6+4 4+K+; @ ? + '&,- MV + + «ª W+7 j+ ; )(VR4V ) I # »N v F Ð l ( N v ? F Ð C ® 4+ Iº F Ð ¼ 7 F Ð N v F Ð =? C 7 )³ ( w ? C 7 ® I + M3 ;0! , / «+ _ CH+< _?. . . . . . . . . . . Nv ? 6 +L3 _/ .V C+NM _W+. ÐC®. 7 ;Ê ª Dm CEN v<; 8 ® ?. Ê C ® N7 MPO@Q. Nv 6 ?. Ð Nv. . . g. ¬ ? 6*@iC ® D ·I. Î ;Ê ª ? Dm C z ®. ÊÎ. Ï. Î. . g. ! . z I. À. z Nv 6 C 7 Î 9 ;Ê ª Dm C À ? Ç ® ° ® ? É Ï -( ,+2O0 ) + I < ; ( 0 ? C+ ,V. å /$ + # 0+/ <0 ; I! +] .VR0d S+ r+ ; q* # +Z? 9 ; -( ,+2O0 ,-( ~Î ) 6+4 1 CV HI~ = ; )/ _ + ;J?CV +^cM ;0 &,- M + r+i+ r+ «+ ; ; (@V9CV + p+ +^ ;4+ 4+ ;J R + ( /$+ =(0 ,+ .-?.-( r+<#N v>rw ? 6 Ð C C+ b ,+AL4+<C+(0 ,+` + 4+ (O ,+, 0( ;(( 1 # + =Z« C+ ,V P!I E S ; 7$ + 9 +L? Qq& .V ? + ,-( ,+Z0 ,+; V +< _/ .(- N M + C} +/ I !. " . $#&%('*),+-'*). . > 9at> I.
(46) .
(47) ! #"$%&' ( !*) +. + .@ ) V + + . . .
(48) F. 8 3> ,& - M )+Z r+i+ +R~ CV 4 (& ++K &)+ r+i+= « ,& - M . ª ÅD C 7 ?. Ð. ?. C. ° DÅ À 9 ° . /$+³ªi(? r + )/ _C-( a < . V9CV 6 )(~ 3 ; )/6 NM< # ;4+ ,V I! _I< # ;4U + ,V PI
(49) ~ +KS 8 3$+ ;( _C ,-( ,+3 )(E _C-( F_l ? ?¿C +C+(0 ,+ ? ?MC3W+U? (W+92 MI +K ? ?¿C +0Z C+(0 ,+ I§ ,+ 2L4+ M # ;4+ ,V I
(50) YO .-( r+p$+ R+Z? Z ; -( ,+2O0 ) . r. . å. G
(51) ? I 5 Ê 8. . É. ?°l. 9. À. 3C+ A + 32\ W+ ? W+`< ZÉ +K 0? 7 É { I a %.V90 _ SZ | + 8,2 }7+? \Z ; -( ,+2O0 *³É A l 9 5 l 6 I 5 8 8 V9CM18 ^ M¿+ O(_ M l 6 I 5 8 ) (~ ^ 4+i+R I& / _4 ,-( ,+Y ? ª ,+ =Z # oL4+;V . åÊ. Îå. ª ÅD C 7 ?. . S C++ +6L4+K ,+34#CM` +4V 4+Z? =Y d(- ,+20O 5 å Î 8 L4+³+LCV | ¬ I. Ê. ° DÅ I l 9 ° PO^7V9CV + ] );O?C$+S ;0! , / +YM !(~ ?. C. . -) 8)) x$ x$
(52) (6%' 7$ t{/,Y\na6hYnkZliya"XZk~]7kZo^YNhw]kZoZlmhyNl43ÜaXZa"noZl ]-g¶a"rjw]¼oZlmYnYW/¶o^a0o{bNa Ð 7 6·8H9 ; Ð ? 6·@iCED @9 ; 8Ð ? 6*@CED 6 1ªa"XZa ? Ð C+lik!]kZo}]nyw]XZ§ y . lma"na"XçXZYNh"ak¯kvo^a"no^YTli_xtgma"_7a"n\o!_7aVo^YNyk,Y/o^afo{bNa~h"Y\nukZlmyuanR XZay a"XZa K=jk§lmn[o^³a Ã,jNgia"X~k^ha"_7Wa L'Y\naTnuaa"ykfo^ Y VÚacW] VNgiao^Yxk§lm_2jNg ]¼o^aTo^alinh"XZa"_7ano^k Y /o^a .3lianuaX,XZYNh"a"k^k 5 6 å 8 ;Ê 9 Î ;Ê 9 Î exÁlinh"a!o^± a .3lianuaX,XZYNh"a"k^k,w]`kçlinya"Úa"nyuano,lmnuhXZa"_7a"no^kv o^NlmkT]_7Y\jno^k o^Y#w]rSlin[7o^Y#kZli_jNg ]-o^a2]>K pwnNl|o^aWLJlTe lTeîye k^a"rtjuanuha6Y/nuY\XZ_#]¼g¶X^]`nyuY\_ S`]Xl ]VNgia"kv /¸Y\± X 1ªNlih} aa ©1hVlia"n\o _7a{o^uYNykª]XZ0a 1aVgqg hn2Y 1 n e tnhYno^X^]`k§ovkZli_jNg ]¼oZlmYn uXZÅY VNgia"_7§ k /¸YXa"rjw]¼oZlmYnkY / {o bNa K¯G Lch ]n Vua /¸YXZ_lmys] VNgia e¿tPolmk Úa"XZw]kpsXZkZo0]XZYXl ]-o^ao^Y7yNlik^h"jk^k ]cg|lqoZoZgi0a 1 w]-o ] `+az Sb&uXZYNha"k^kJlmkk e
(53) ¶b#o^aTlinya"a"nya"nh"a ]`ny kZo}]¼oZlmYnw]Xlqo b WY /¶o^aTlinh"XZa"_7ano^kfv 1a6h¼]un 1 Xlqo^a Î F å 7 ? F 5 6 å 8 9 Î ]F 9 Î CI å ]`ny o^j>k F liko^a k^j_ Y /ÉFTl e Tl e y eX^]nyY_ S`]Xl W] VNgia"§k /¸YX*]mn b]Ée a"nh"a F lik*linNpwntlqo^aV4g b yNÆl SlikZl VNgm<a K lmnå yuaa"yÌv F Ð lik&linNpwnNl|o^aVÆg b3ytÆl SlikZl Vtgmja /¸YX ]¼gqg ¬ Le¦|~j]k Òhn2Y 1 lmnm[ å Ó<`+az Sb XZY R ha"k^k¯akh ]`<n Va a"rjw]¼o^a<y 1 lqo^ Òhn2Y 1~linm[ ÓLlmntpwnNl|o^a{4g b yN4l StlikZl VNgia yNlikZo^Xl VjNoZliY\nrk eÊ]mn bl/>]_*l|g|l ]X h{g ]k^k^kZlih ]-g+yNlikZo^Xl VjNoZliY\nkc]XZaclinNpwntlqo^aV4g b yN4l Slmk§l VNgiak¯jh}]k~o^ a Y\XZ_#]¼g¾ v 0]`_7_#]uvÌe!N4l RPk^rjw]XZa"yÌv . . . . . tKt. 2ÔPYxPF. . .
(54) 2d.
(55) ³p±
(56) } +*~ . ef]`jhm b}v `¶]Ng ]`h"a`v a"[]-oZ4l S\ a ¶linY\_l ]-g>vW]XZa{o^Y}v `+Y[t]Xlqo^u_*lih`v `+Y[lmkZoZlih`v¶eJY\_7Y\jnuy a"Y\_7aa R o^Xlih`vxÁo^jya"novgÌlmk^uaX{v,]nyl`ÌY\[WRPnYXZ_#]-gK o^w]¼oo^a7g ]`k§oTo^XZa"a&]`XZa7linNpwnNl|o^aVgÆb8ytlÆSlikZl Vtgma#likcnYn o^X4l Sl ]¼g µuk^a"a a eî([ exÁo^a"jNo^aVHg oq 2b s Le YgiyNlma Ä ko^a"Y\XZa"_ o m¤s+]-g|gmkY 1ªkY\nua~o^Y[\a"na"X^]¼o^aªk¯jh}&]¼xo 1~l|gqTg 5ço^a XZYNyujhVo Y /X^]nyYÌ _ S`]Xl W] VNgiaklik lmntpwnNl|o^a{4g byN4l StlikZl VNgiac4l / likT]`YX Vtlqo^X^]EX b¿VujNoTnY\nuna"[t]¼oZÆl Sa`v likªia ^uÚYna"noZl ]¼g>vw]n y 5]ny ]XZalinya"Úa"nyuanko e gXZY_ YjXkZo}]nyYlmnovu2Y 1aa S\a"X{v,l|olik*a"XZw]k*_7YXZa ]XZYXl ]¼o^a#o^Yya ]¼x g 1~l|o^ gYjXlma"X o^X^]nYk /¸YXZ_7kk e!tnya"a"yÌvÌjkZlin[&o^ua `+az ScbcR Ttlmno^h}tlmnpa /¸YXZ_jNg ¿] K=k^a"a`vÜa e [ e|v+W,XZYoZo^a" X oqr qGs L^v+Yna2h¼]n li_#]`[lmnua]~ya"k^h"XliNoZliY\nY /No^uaXZYNh"a"k^k ? F Ð CVaVlmn[ [Æl San2lin*]Ng|lmh ]¼oZlmYnk Vmb*] ya"k^h"XliNoZlmYnWY /o^a yN4l 3ÜjkZ4l S\a~h"YnkZo}]no vN] ya"k^h"XliNoZlmYn7Y /so^ayX4l / ohYnkZo}]n0o ä]`nuyx]ya"k^h"XliNoZliY\n7WY /o^#a Va"wr] SliY\X WY /¶o^aZju_xup k K=XZa"_7a"~_ Va0X K¾ LYLe±Álinh"aTo^~a ¶!XZkY 1ªnNl ]`nÏh"Y\_7Y\na"no ? Ð C]ny&o^afZj_7kªWY /¶o^a `+az ScbXZYNh"ak¯y k F ]XZa&linya"Úa"nyuano±v 1ya 1~l|gqg o^XZa ]-o#a"XZa Y\nN4g b o^ak§lm_2jNg ]¼oZliY\n WY /ªo^ua*Zj_7rk e ]¼o^a"_#]-oZlih ]-g|Æg b&k¯Úa W] h\lin[ v VÚaVlin[7[`4l S\a"nL]7ya"k^h"XlmtoZlmYnWY /¶o^a Zj_7klik o}]`no}]_xYjno o^ Y VaVlmnu[ [Æl Sa"n o^pa `+az SbÏ_xa ]k^jXZa e
(57) .
(58). !
(59). a³/¸YgqgiY21 lmn[7lik1aVgqghnYk1ªn8]nyLa{gia"_7ano}]XEbVjtoJ1a6lmnuh{gijya]#XZYNYW//¸YX~o^uak}]Wh`a2Y/h"Y\_R NgiaVo^a"na"k^kke D
(60) J+i+ V ? F Ð C +Y ,- M )+Z r+i+0 6+C 1 ,+ V ( *(4+ L ,+ V (a J ,- MSV ;W+;+ ªI #"«¼ 7 ª N P C,I* F Ð C +<3 CV C)( +i+K + r+i+ $LV [4+;+ .-%+? %" ( +#$LV %+ ? 4-( =( +L + 28L ? & å ªXI o+ Z,IxÂjuao^Y*o^uaTlmnuya"Úa"nya"nh"ac]ny kZo}]-oZliYnw]`Xl|o b&Y /¶o^uaTlmnuhXZa"_7a"no^kvuo^³a `+az ScbcR TNlino^h}Nlina /¸YXZ_jNg ]7jnNlirjaVÆg bÏyaVo^aXZ_lina"k~o^uacyNlikZo^Xl VujNoZlmYnLY /o^aca"noZlmXZacuXZYNha"k^k ? F Ð CeH. aTsr] S\a * 4Ð 3 N v('*) ,+ K .-0/21 7 ) A 5 + 8 I 1 a"XZafv /¸YXk^Y_76 a 5u¾jN P v 7 ? C¼ 7 ; r # ?° 8) * ,+ K 9/ CEª ? Dm C9; k ?° :) * ,+ K ;/ 9 ,
(61) IJCEª ? Dm C9 ,:<5(I À å å `+aVo ? Ð CVa7W¶Ylmk^k¯Y\« n 1~l|o^8]XZXÆl S`]¼gJX^]¼o^=a "Ìv]`nuygiaV0o z?> KA@ ¾ CED L Val|o^kc]XZXÆl S`]¼g'oZli_7a"kk ep`+aVo B> Va]n&Tl e Tl eî y ek^a"rja"nh"0a 1~l|o^ C ? B>kC 7<D ? Dm C 7 & å ª ? Dm C^v]nyÏgmaVo & T £ Ð ¼ 7 > B>0 Ð # FÊ E ¡fÀ å | a"n * Ð 7 <;'GN I ? Ð 7 < C N v ' ) + s%- G 1 7 N vN%H)rJA ? ,
(62) InF Ð 0C f T 7 N vKJL MPORQNMO , I9P>0RQSTU N I Ð 7 <C } ? > å å * ,+ ;/ |. . '&. '&. . $. $. . 7. . . MPORQ. Î ; ?° V). K. CEª ? ÅD C. Ï. I. > 9at> I.
(63) \.
(64) ! #"$%&' ( !*) +. ]`nyÏo^acXZa"k^jtgqo /¸Y`g|gmYk1ªkke | tjukTÆl /ª lmkc]xpwnNl|o^ax_7a ]k^jXZa`v 1a*na"a"y8YnNg4b o^YÏkZli_jNg ]-o^ao^alinh"XZa"_xa"no^kYW/!h"Y\_7Y\jnuy W¶Ylmk^k¯Y\nXZYNh"a"k^k^a"kvÚ]`nyLo^tlmko^YNY1lmk 1aVgqgjnyuaXZk§o^YNYNy 5 o^a7XZYmVNgia_ likTXZayujh"ay o^Y&o^akZli_j$R g ]¼oZlmYnLY /X^]nyYÌ _ S`]Xl W] VNgiakTsr] Slmn[xg r] 1 & å ª5 /¸YXªai^s]`_7Ngia`vÜYnah ]nLjk^a*]xXZa§Za"hVoZliY\nL_7aVo^YNyÌv k^a"~a ¶!YjNgma ]j ]n¿y `Ìztlmn[gi a o k s¶Y\X Âna SNXZ2Y b*a o'rsTe
(65). . . #K ? & . U > . . ªa"XZa01a2]`k^k¯j_7aªo^ua~`+zaScb _7a¼]k^jXZalik Y/¶o^ua0/¸Y\XZ_. %
(66) # . . . ( . . , .
(67). . T. ª mD C 7 DÅC9 ? ?. ). ¯\. DÅCI. K GL. å 1ªa"XZa DmCya"nYo^akfo^aTY`lino~_#]`k^k ]-o ¾MN PÕY/¶kZl ¨"a7mµ Dm C'lmk ]psnNlqo^a6_xa ]k^jXZaYnN P nY`o lmnuh{gijyN? lin[&]nmb ÚYlin\o _1]k^k^a"k ]-oo^ua ¢ å v]`nuy]¼gmk^Y1ac? ]k^k^j_7a T ® ) ² À K¯¼c L å Yo^aªo^s]-o1 lqo^uY\jNofgmYk^k!YW/¶[\a"na"X^]¼gql|{o b*1aTh ]n ]k^k^j_7 a ¾ % 2I '¾vu]-g|g <Úv /¸Y\X!k¯Y\_7a ~ ¬ v kZlmnuhaYo^a"XE1~lik^a}1aJh ]ncjNo+o^uaÌZju_xuk+lmno^Y Dm Ce}. lqo^To^tlmk]k^k^ju_xtoZlmYno^am buYo^a"kZlmk K¯¼c L lmk]`jto^Y\_#]¼oZlmh ]¼gqg4b&k}]¼oZlmkZpsajy K¾]`nuy a"nh"acXZa"yjnu? yw]`nno LfkZlinh"ac]-g|g `+az SbÏ_xa ]k^jXZa"k ªÏk}]¼oZlmBk / b . . ?. . . . . . . . . . ; EC ª Dm Cx² ? ® ¯ ° ?. Y D ) 0+ # 2
(68)
(69) / ( r+i+ r+p C+4V ,+i+ ) I # . . £. 0
(70) . Ð C98 . 7 ¬ 0 I ?. . . . ) C . Q+ ,Ix`+aVo. У Î ¼ 7 Î ? Ð ) å |~a"n £ Ð Î Clikª]k^rjw]XZaTlino^a[X^]WVNgmaT_#]XoZlmnu[t]¼gma`vs]ny ? Î Nv % ? £ ÐÎ C ' 7 ) ® ® å . . . . tKt. 2ÔPYxPF. . . À. . Ð ¼ 7 T ? Ð å. +<'&,- M )+ r++A · ,& - M9V ;W+;+ ªI. . . . . C À. À. . (0 (0 ++K +4U.
(71) .
(72) ³p±
(73) } +*~ . Î ai^NlikZo^k ]`k&]ägqli_lqo1lmn* C^v]nyÊVmb»ÂYNYmV Ä k#_1]XoZlin[t]¼gia r jw]yX^]¼oZlmh | a"n ¼7 lina"rjw]-£ g|l|o{b Î £ Î Î £ 7 £ lin+ ® ?HG C^vfjnNl4/¸Y\XZ_g4® b ?HG lin Yn h"Y_7w]`hVo^kkµJ_7Y\XZa"Y2Sa"X £ il k1]¼gik^Y] _#]XoZlmn[]¼gmac]nyL]`ÌznScb uXZYNha"k^kreHg+linw]-g|g4bnYo^ao^w]¼o * * Nv ' ) + s - 1 7 Nv ' ) + s - 1 Î - A Ð81 5 7 Nv ' ) * + Î Î *+ A Ð 1 5- 8 7 Nv ' ) Î å Î ) A Ð3 5+ 8 7 Î å 1 a"XZa *+ . . . . . . . . . . . . .
(74). . .
(75). . . . . . . . 7. . D D W+ . C ¼7 ; ) ? x ?. . 3 (. , C ). ° . . ? DÅC À. 3 (*+ . 0
(76)
(77) . 2
(78) . "y¼ 7. Ð. # 1 + r++ ? F C _+ # oL4+;V. ; . ? DmC À. Ð 2Ð 9 Ð. F 7. . I. ,+ ? Ð C +^ CV C)( r +i+L )+Z r+i+a $LV %+ _C- O !4 & å ) + M%" o (S ,+ ? Ð C + (0 (0 #Z ? 2Ð C< ( +0Z # LC+ V Ð ¼7 T ) C . . . Ð å ? . . L4+. Ð C ?. . . . . ? Dm CB )(C+ + .-0. . )( )( ) +i+K )+Z r+i+ r+] ) + r+ ) I. N lik~lik~kZli_7Ng4b]hY_~Vtlmnw]¼oZliY\nÏY/| a"Y\XZa"_7kfeq6]nyLfe $e |~aTk§lm_2jNg ]¼oZliY\nÏXZYÅVtgma"_7kªuaXZa0Va"[`lin&o^Y#[aVoª]2gql|oZoZgiach"Y\_7Ng|lmh ]¼o^a"y e!egia ]`Xg4b Yna!1~l|g|g¶w]rS\a o^Y2o^XZjnh ]¼o^ao^almntpwnNl|o^aTk^a"Xlma"kia ^uXZa"k^kZliY\n /¸Y\X Ð e. aYÚa o^Y7]`yyuXZak¯k!o^a"k^a lmk¯k^ja"k!li*n /¸jNo^jXZa 1YYX he o+ Z,I|. .
(79) . . K R . . . . B , .
(80). a"h¼]¼g|g+o^w]-o]7XZa ]-gS`]¼gmjuayj`+zaScbuXZYNha"k^k ? F Ð C!likªh ]¼gqgia"y l4//¸YX~aaS\a"XEb ¬ o^a"XZa2aa^tlikZo^k 5* ¬ ]`nuy ¾ N P k^jh7o^w]-o!o^uaªXZYNh"a"k^k ? rF Ð Cs]`ko^a k}]_7ag ]r1â]k'o^ua0uXZYNha"k^k ? F Ð 9 Cet{/ ". # !. #". %$. > 9at> I.
(81) ¼.
(82) ! #"$%&' ( !*) +. Y\na6o}] ha"k 7 ¬ o^a"n F Ð C!lik 2e
(83) tPo!/¸YgqgiY21 k/¸XZY_ o^a`+zaSbcR TNlin\o^hNlina³/¸YXZ_jNg ] o^w]-oflÆ/ ? F Ð CçlikkZo}]WVNgma o^? a"n 5 7 vÅ/¸Y\X!k^Y_7a ),v ¬ )l x eH|~ua0h"YnkZo}]no )Lo^jk~yaVo^a"XZ_lmnuak o^aXZYNh"a"k^k~]nyÏlqo lmk h ]-g|giayÏo^acYXZya"X~YW/¶o^a6XZYNh"ak¯kkeHtn o^tlmkh ]`k¯aªo^ua§`+zaScb _7a ]`k^juXZao}]hak o^0a /¸YXZ_ ª DÅC 7 ? å ; 8:9 ? ;;/$8aC f f A 5 å 6 8 Dm ? ? ¬ v ? ¬ e t/ ? å 7 ? ® o^a"n F Ð CTlik7h ]-g|gma"y] /¸Y\X ¬ )¦ v ? å x T T ? ® ® ke t/ ¬ )l ° vo^a"nco^uaJyuanukZlqoZlia"k¶WY /uk¯Y\_7a,kZo}] VtgmaX^]nyY» _ S`]Xl W] VNgia"k]`XZa hn2Y 1 n Ò¯aa ^uNg|lih{l|oZ4g bfÓ(e t§nyuaa"yÌv\gia{o A ?YX I )C,yuanuY`o^a o^a ya"nkZl|{o b7Y\n % ¬ Ia9³²_CWY /+]TkZo}W] VNgma X^]`nuyY\ _ S`]Xl W] VNgia 1~l|o^u `¶]Ng ]`h"a o^X^]`nBk /¸Y\XZ_ MPORQ ? C^ v /¸YX > ¬ e*| a#h"Y\XZXZa"k^YnyNlin¿[ `Ìnz ScbXZYNh"a"k^k^a"kc]XZ*a htnu2Y 1ªn ]`k "v]nyo^una b8sr] S\a#nY$n R¾ya"hXZa ]kZlin[ k}]_7Ngiaxs]-o^rk e Y`o^ao^w]¼oc4l / I I9 ]XZa le l A e y 9 e X^]nyYU _ S`]`Xl ] Vtgma"uk 1 lqo^ ya"nkZl|{o b A ?YX I )C#wn] Stlin[ `¶]Ng ]`h"aÏo^X^]`nBk /¸Y\XZ_ MPORQ å ? ÀrÀk À C^v Î o^uan É å >Î B>]¼gik^Y w]k#ya"nkZl|o b A I )}C^v 1ªuanuha A I )Clmk#o^ua yuanukZlqo b Y /c]HkZo}W] VNgmaÏg r] 1ÃWY / lmnyuaa ^ ) K= ah å /§vÚma e ([ eqvÚ ei2 d7lmn8 aa SN(j ¨ ?YX !Y~X o| 2 s Le0tn?Yo^X NlikTh ]`k¯³a /¸YX T ¬ v A ? I )C lik0[4l S\a"jn Vmb K=k^a" a c]n\o^a"0X o|2 d2s L5 9 A K¯¼cL A ? I )C 7 ° Î ) ) Î ° å 5 å 8 ; 8 5 ? cC MPORQ Î ° 5 ? cC >D ° Ï Ï Ï 1ªa"XZa 9 A TÉ ? )cC å 5 å 8 , É ?Y?° )CEcC , 5 ? C¼ 7 , É cC K¯k q$L À T , É ) c C ? ? Y D ¦ ? F Ð C8 =S-( ; qC+0-0N (*+;M4V`V + ³+Kc+ NM+K28 + r+i+0Z (0 ;J) ¬ ) )(& 8 `*+ MCV=V c+ + .-( <V9? + J·+ \ _/ x * N v ' ) ,+ K - / 1 7 ) A Ð + K + / À ,'*)
(84) ". # .
(85). #. %('+. ,'*). # !. .
(86). +-'
(87) )
(88). # +-'. # !. .
(89). . .
(90). . . . . . . .
(91). . . . . . . . # ,+ C 5$. C 5! ? ¤C å 9 5 ® 8 I' #C + )( )( ) ) ( " 5 ³ C ? 7 I. ?. C 5!. ". C 7&% ?. ¬. ?F. Ð FH@C 7. .
(92). å9®. #". . . # ,+ - +0 LC+ V % ¬ I '2& + ;J % 4+CV ,+
(93) & # o ) 5 ?YX C +AO .-( 2
(94) K5 _I . ( 4+ )( )( )c&. Ð !w]ko^a6XZauXZak¯ano}]¼oZlmYn F Ð C 7 - C¿I ? ? 1ªa"XZa 5lmk!]Tk§o}]VNgia~k¯j(VÚYXZyNlinw]¼o^Y\X,Y /linyia ^ vu]`ny ? LÐ Clik!]`n7linya"anuya"n\o!kZo}]nyw]XZy.3lia"na"X XZYNh"ak¯kK=k¯aa`vtaeî[(eqv\w][\a6\linMoq 2 s Le % k a®XZ_#]n&~fj VNlmn1ÅY Vk¯aXESa"yK=k^a"a6eJY\XZYgqg ]XEb§q(ei~YW/oq2d2s>v Q+ ,IHtPo lik1aVgqghnYk1ªnÏo^w]-o. ?F C. )(. . tKt. 2ÔPYxPF.
(95).
(96) rq.
(97) ³p±
(98) } +*~ . e 'Wd\cL^v,o^ay/¸jnhVoZliY\nA ?YX I )}CY/~K¯¼cL0lmko^a ya"nkZl|o{bYW/ ? 5 ? ³CYÈ xC å A 9 1ªa"XZa5 ?YX C2lik7[`l4S\a"n. lin¿K¯rqfLµ? lmk!junNlÆ/¸YXZ_Y\n % ¬ I 'Tµ Hlik!ai^Yna"n\oZl ]¼gÚYW/s]`X^]_7a{o^a"Xµ ]ny ]XZa~linya"anuya"n\oke | a"XZna /¸YXZa C 5 ? å C 7 C 5 ? 5 ? ³CYÈ xC 5 å A 9 8 I ]n«y VÅbÏk^h ]-g|lmnu~[ 1acsr] S\a C 5 ? å C 7 C 5 ? &GC A å 9 Ð A$@ 7 C 5 ? GC A å 9 ? Ð @iC À Álinh"a C 5 ? F Ð ]FH@C 7 C 5 ? - 7! C 7 C 5 -A !C ? 7 C 5 Î Ð @ Ï 7 C 5 Î GC å 9 I ? Ï 1a]XZaTyYna e Y`o^a6o^w]-0 o | a"Y\XZa"_ f e q#li_xtgqlia"ko^w]-olinY\XZyuaX o^YÏkZlm_2jNg ]-o^a2o^a2lmnh"XZa"_7a"n\o^kTWY /]#kZo^XlihVoZÆg b kZo}W] VNgiacYk bN_7_7a{o^XlihXZYNh"ak¯k~WY /'linyia ^ ),vl|oªlikªa"nYj[ o^Y1kZlm_2jNg ]-o^aTo^uXZaa2linya"Úa"nyuanoX^]`nuyY\_ S`]Xl W] VNgia"kk 5!] T]jk^kZl ]nÌv]n aa ^uY\nuanoZl ]-g¶]nyL]*junNÆl /¸YXZ> _e
(99).
(100). . !. !. .
(101). !. .
(102). !. !. !. )(. !. )(. . . . ,. . . )(. (. . . ".
(103). !.
(104) .
(105). $. . !. .
(106). ".
(107).
(108) . #a w]rS\aÏ]-giXZa ]`y$bo^XZa ]¼o^a"y o1YLh¼]k^a"k01 a"XZa>ª ? N P~C 7 ²»5pwXZk§ovço^a#h ]`k¯a 1ªa"XZa7o^a#linNpwntlqo^a _#]k^k~h"Y_xa"kYnNg4bu/¸XZY_o^ach"Y\no^Xl VjNoZliY\n YW/ÚYlin\o _#]`k^k¯ak!K=k^j(Vk^a"hVoZliY\n fe Lµs]ny k^a"hYnyÌvto^a h ]k^aTY/¶kBbu_7_7aVo^Xlmh2kZo}]WVNgmaTuXZYNha"k^k¯akre t§n h"aXo}]¼lin h ]`k¯akfY\na0hnYk1ªk1 w]¼oªXZYNh"a"k^kh"YXZXZak¯ÚYnyk o^Y ]nÏlmnNpsnNlqo^a `+az Scb_7a ]`k^juXZavÚ]`nyL]¼gmk^Y7Yn~a hnkY 1ªk 2Y 1o^Y#kZli_jNg ]¼o^aco^a6lmnh"XZa"_7a"n\o^kWY /'k^juh} ]7XZYNh"a"k^kk e±Ájh ia ^s]_xtgma"k]`XZacX^]XZa x| ac_7YkZ#o 1aVg|g hn2Y 1ªnÏlik~o^a k5J* ] `+az Sb XZYNh"a"k^k ? F Ð C'lmk h ]-g|giay ] T]`_7_#]XZYNh"a"k^k4l / C 5 ? F Ð C 7 ?° I CI ¬ À | w]-o lmk"vNo^uaTg n] 1ÕWY /
(109) F Ð s]`kyuanukZlqo b å A Ð ) A A ? C 7 C ;;/$8 À ? t¾o^kªhw]X^]`hVo^a"Xlmk§oZlm0 h /¸junhVoZlmYn&lik * ° Ð N v ' ) + .- 1 7 ?° , C 1 Nlmh lik h{gia ]`X4g b#linNpwnNl|o^aVÆg b yNÆl SlikZl VNgma6kZlmnuha Î I É ° Ð 7 ° Ð9 T° À ?° , C ?° , C Î .. #. . #&%('+. . !. . . > 9at> I.
(110) ¼.
(111) ! #"$%&' ( !*) +. nach ]n&o^a"n h¼]¼gihjtg ]¼o^ao^a~`+zaScb _7a ]`k¯jXZao^Y VÚa. ;;/$8aDm. A ª ? ÅD C 7 ° ) 0h 21. ~jk XZa¼]k^YnNlin[§Vs]`hhÅ1~]XZykvul4/'Yna nY k |. À. ;. ª ? ÅD C 7 ° ) A ;/$8aDmÑI W/ ? F C}Vmb 0h 21 eÁ f/ i^ uV ÆS [ª V e}.. Y\na h ]`n7kZli_jtg ]¼o^a~o^ua~linh"XZa"_xa"no^k!Y Ð xk§lm_2jNg ]¼oZlin[[]`_7_#]X^]nyY_¦S`]Xl ]WVNgia"kkegYX,k^jh} X^]`nyuY\_ S`]Xl ] VNgia"k~_#]Ån b1o^ahnNlirja"k6]XZa nY n a"a`v ¸YXa w]_7Ngiavse! '`6lmnM¶!YjNgia¼]j[oqGsTe t/!Y\na2lik0nuY`oTk^Y1gmjh hmbä]ko^Y a*[l a"n h"Y\XZXZa"k^Y\nuyNlmnu[7o^Y]uhnYk1ªn K¾]nynNlihaGL XZYNh"a"k^kv S`]`XliY\jukªYo^a"Xo^a"h}unNlmrja"k]`XZaTYk^kZl Ngma aTNg ]`nÏo^Y7XZa"k^a"n\o o^a"k^aTlink¯j(Vk^a"rja"no#1YXYh%e
Documents relatifs
Le Négus consacra une énergie considérable en vue de gagner cet appui international, mais, malgré la force de son discours prononcé en juin 1936 devant ses pairs à la tribune de la
In this paper, we propose a novel approach based on the barycentric coordinates of automatically tracked 2D facial landmarks from videos to objectively evaluate the facial
Dirk Obbink (dir.), Doctrine and Doxography. Studies on Heraclitus and Pythagoras, Berlin / Boston, De Gruyter, 2013, p.. et le logos auquel les hommes devraient accorder
Les exorcismes ne sont pas publics, les sœurs noires elles-mêmes sont tenues le plus possible à l’écart, et c’est chaque fois Jeanne qui force les choses pour que, finalement,
Toute- fois, d’autres marqueurs des cellules POMC tels que NeuroD1 n’ont pas été induits dans cette expérience, ce qui indique que Tpit suffit in vivo pour provoquer la
La possibilité que Bcl-2, PP1 α et Bad s’associent pour former un complexe dont l’activité Bad phosphatase est accrue pendant l’apoptose permet d’envisager que cette
Mais elle y occupait une place modeste : il faudra la liberté et le goût de la transgression du roman en langue vulgaire pour que la situation soit renversée :
Les thèmes majeurs (tab.5.4) abordés par les îliens interrogés sont, pour la grande majorité, les mêmes sur toutes les îles : ils concernent les usages anciens
