Pressure Relaxation Procedures for Multiphase Compressible Flows
Texte intégral
(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. Pressure relaxation procedures for multiphase compressible flows Marie-Hélène Lallemand — Richard Saurel. N° 4038 Octobre 2000. ISSN 0249-6399. ISRN INRIA/RR--4038--FR+ENG. THÈME 4. apport de recherche.
(3)
(4)
(5) !"$#%& '
(6) ("$)"#* + -,./0 124357698;:<>=@?>A
(7) 6CB24=@=@6EDF2GAIH
(8) J KILM5ONQPI243RHTSU2GV36>=XW YZ4[;\]_^a`cb>de\f4gihRjkdml9no]'jl!p4jkdm\qdershRjkdel!n t ]rvu>rvjk[;\];r_w;l!\qp4ge];x>];r yzkl{|];j}.~R hQp4pl9zvj t ]zv];w|Z4]'zvw|Z4]n^E !~9q`_w;jkl!4zk]o! 9 ! `c~4_phR9];r. MI;RR9} fGgmjkdep4ZhRrk].w;l9\p4zk];rvrkdmGgm]ClR \ql t ];gerhRzv]f4rk]|7f4geg_7l!zqjvZ4]n>f4\]'zvdewhRg_rvde\f4gihRjkdel!nlQhd t ]CzshRnG!] lQhRp4pGgmdewhQjvdel!nGr den>jv];z OhRw;]qp4zvl94ge];\r¡ t ];jkl!nhQjvdel!n¢p4Z>uErkdew;r¡£rvZ4l>w|¤h¥!];raden\dex>jvf4zk];r¡wh¥Edej|hRjvdel9nlRro]'jvw!¦¢YZ4] n>f4\q];zvdewhQgrvl!gef4jkdel!nlRrvf4w|Z\l t ]'gmr_denE¥9l!ge¥!]'rrk];¥!]'zshRg)den4!zk] t de];n>jvr¦&_n4]lQ§jkZ4l!rk]den4!zk] t de];n>jvraderjkZ4]den4rvj|hRn>jshQn4];l9f4r pGzv];rkrvf4zk]ozk];gihRx4hRjkdml9np4zkl>w;];rvrhRn t derlRphRzkjvdew;f4gihQzdm\qpl9zvj|hRn4w;]9¦ ¨XnjvZ4der"zk];p©l!zvj¡]ap4zk];rv];n>jhRn t w;l9\phQzv]a];x>dmrkjvden4.hRn t n4];ªpGzv];rkrvf4zk]&zk];gihRx4hRjkdel!np4zvl>w;] t f4zv];raden«jk];zv\qr"lR)l9jvZ hQw;w;f4z|hRw;uhQn t w;l9\p4f4j|hRjkdml9nhRg9]|¬w;de];n4w'uE¦_\l!nGjvZGl!rv]_p4zvl>w;] t f4zv]'r)]];n4ZhQn4w;]l9n4]Z4dew|Zrv];]'\r)jvl"©]phRzkjvdew;f4gihQzvgeu )];gegIrkf4dejv] t 7l!z"pGzvl!Ggm]'\r"dejvZgihQzv!]pGzv];rkrvf4zk].¥!hRzkd®hQjvdel!nGr©];jX)];];n¯jX)l.p4ZhQrv];r¦«} l9zv];lR¥9];z¡£dmj t ]hRger"dejkZ!];n4]'zshRg ]'°Ef©hRjvdel9n4rlRrvjshQjv]±7²£bG³;¦´b>l!\q]jv];rkjvr"hRzk]p4zvlR¥>d t ] t jvladegegmfGrvjvz|hRjk]jkZ4l!rk]"w;l9\phQzvdervl9n4r¦ µq¶>·©¸s¹º!»Q½¼_u>p];zkl9gedmw\f4gejkdmpGZhRrk]\l t ];ger¡4¾de];\&hQn4nrvl9gm¥9];zvr¡4¿dmnGdmjk]ÀIl!gef4\q]} ];jvZGl t ¡yzk];rvrkf4zv]azv];gihQxÁhQjvdel!n¦. IÂÝ ÃÅ@ÆÈÚXÄ;ÞRÅ@Ä;ÆÈÇXÅ7ÉiÐ!ÊÑÇvÆÈËÈßRÇvÌRà@×7Ç'ÆeÍ Í Î>ßÄ;ÌRËÈÆÈËÈá|ÇXÉiÏÏÄ|ÅiÌRàkÍÐ!ÓmÅUÑ ÉÆÈÌRÜ´ÅÒÆÈÚvÄR×@Í ÓeÆÈÅ>Õ;ÌÉÔ©ÛÅ7ÃÕ|Ö@Ü
(9) Çv×´ÛʯÃØ;ÇvÙ.×)âXÇkÍ ×´ã£Ä;Í Û9Úv×@Í äÆÈÕ;Í ÌâXÍXÛåÃä>Ü
(10) ÇvÚXÛÞRÊ ÌRÕ;æ9ç;ËÈÇ)ÐRÇè©ÞRé;×@ÇvÄ;ßÉ7êÕ'Ïë9ÇXÅ7×ÉìíÅ@ßRÇî©ÌRÅ@ÆÈÚvÕïRÇvÅ@ÏÆ©ÉðvØñì|Ø ÃÄ;Å@à@ÇvÆÈËÈËÈÇ
(11) è©òkÐRÇvóðvØ 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.
(12) &
(13) "* -
(14) " ª" - )" #*a "#* + # ; (q" q 4 ¯
(15) ´];ra\l t ['gm]'r t w;l!f4ge];\q];n>jvr t ]afGd t ];row'l!\pGzv];rkrvde4ge];r"\f4gejkdmpGZhRrkdm°>f4]'rrvl9n>j"f4jvdege];rp©l!f4z"gihqrvde\f4gihQjvdel!n n>f4\ zvde°>f4] t f4n4]!z|hRn t ]¥!hRzvd j t hRp4p4gedewhQjvdel!n4r!p4zkl!4ge[;\q]; r aden>jv];z OhRw;]9¡4p4Z>u>rvde°>f4] t jkl!n4de°>f4]!¡Gl!n t ]'r t ]w|Z4l>w t hQn4r ge];r_\ gihQn4!];r¡ w'l!f4ge];\q];n>jvrh¥9];wawh¥>dmj|hRjkdml9n ];jvw!¦y
(16) hQzv\qd´gm]'rden49z ;t dm]'nEjkr°EfGd w;l9\p©l!rv]'nEj_gihp4zklEw ;t f4zk] t ]oz rvl9gef4jvdel!n n>f4\ zvde°>f4] t ]w;];r.\ql t [;ge];r¡£l!nF]'n zk];jvde];n>j f4nF°>f4d"hfGn4]«de\qpl9zvjshQn4w;].p©hRzvjkdew;f4gede[;zv]I)ge].p4zklEw'];rvrkf4r t ].zv];gihQxÁhQjvdel!n den4rkjshQnEj|hRn ] t ]pGzv];rkrvdel!n ¦ hRnGrw;]z|hRp4p©l!zkj¡©l!n.pGz rk];n>jv]]'jw'l!\p©hRzv] t d zk];n>jv];rp4zvl>w ;t f4zv];r t ]azv];gihQxÁhQjvdel!n den4rkjshRn>j|hRn ] t ]ap4zv]'rvrvdel9n t { ]'xEderkjshRn>jk];r];jn4l9f4¥!]'gmge];r¡4];nCjv];zk\];r t ]"p4z w;dervdel!n];j_]|¬whRw'dmj n>f4\ zvde°>f4];r¦©yhRzv\qd´w;];rp4zklEw ;t f4zk];r¡l!n p4z rv];n>jk]f4n4] nGl!f4¥9];gegm]hRp4pGzvl>w|Z4]"°>f4d´rv]'\4ge]phQzvjvdew;fGgmde[;zk];\]'nEjh t hRpGj ]"hRfGxp4zkl!4ge[;\q];rl g®h¥!hRzkdihRjvdel9n t ]p4zv];rkrvdel!nC];n>jvzv]wsZ©hR°>f4] pGZhRrk].];rvjq!z|hRn t ]9¦ hRf4jkzv] phRzkj¡£];gegm] p©];f4j ;jvzk]«f4jkdegmder ] pl9f4z t ];r °>fhQjvdel!n4r t jshRj n z|hRge];r¦ )]'w;d];rvjqdmgegef4rkjvz n>f4\ zvde°>f4];\q];n>jIphQz°EfG];ge°EfG];rwhRr_jv];rkjvr_zv];p4z rv]'nEj|hRjkd @r¦ º©R|¸; Á«} l t ['gm]'rZ>u>p]'zv©l!gede°EfG];r\fGgmjkdep4ZhRrkde°EfG];r¡Rb>l9gm¥9];f4zkr t ]de];\ hRn4n ¡R} jvZ4l t ];r t ]¥!l9gef4\];r !nGdmr¡E¾];gihRx4#h " jkdel!nden4rkjshQnEj|hRn ] t ]"p4zv]'rvrvdel9n.
(17) ~.
(18)
(19) !" # %$%
(20) &'('*) ,+-./ 0"aa
(21) . 1 24 Rº »IR65@º 4 3 8:9!; ¶ 1 ¸'< ;¹º4¸= ;. 7. '¶ º »¶ 7 G¦m y zkl!p©];zvjkde];rlR
(22) jkZ4]"rkuErkjv];\ ¦"¦¦¦¦¦¦¦"¦¦¦"¦¦¦¦¦¦¦"¦¦¦¦"¦¦¦¦¦¦¦"¦¦¦¦"¦¦¦"¦¦¦¦"¦ > G¦ _4f \];zkdewhRg´rkl!gef4jvdel9n&hRn t pGzv];rkrvf4zk]ozk];gihRx4hRjkdml9n ¦¦¦¦¦¦¦¦"¦¦¦¦"¦¦¦¦¦¦¦"¦¦¦¦"¦¦¦"¦¦¦¦"¦ > G¦ G¦e ¼_u>p];zkl9gedmwrkl!ge¥!];zq¦"¦¦¦¦¦¦¦"¦¦¦"¦¦¦¦¦¦¦"¦¦¦¦"¦¦¦¦¦¦¦"¦¦¦¦"¦¦¦"¦¦¦¦"¦ ? G¦ G¦È À£];gelEw'dmjXuzk];gihRx4hRjkdel!n ¦¦¦¦¦¦¦"¦¦¦"¦¦¦¦¦¦¦"¦¦¦¦"¦¦¦¦¦¦¦"¦¦¦¦"¦¦¦"¦¦¦¦"¦ ? G¦ G¦È~ ¨XnGrvjshQn>jshRnG];l!f4r_p4zv]'rvrvfGzv]azv];gihRx4hQjvdel!n¦¦"¦¦¦¦¦¦¦"¦¦¦¦"¦¦¦¦¦¦¦"¦¦¦¦"¦¦¦"¦¦¦¦"¦ G¦ G¦ ^ t dmzk];w;j_rvl!gef4jkdel!npGzvl>w;] t fGzv]7l!z)gelRFp4zv]'rvrvfGzv]a¥!hRzvdihQjvdel!n ¦"¦¦¦¦¦¦¦"¦¦¦¦"¦¦¦"¦¦¦¦"¦ G¦ GA¦ @ ¨Xjk];zshQjvde¥!]zk];gihRx4hRjkdml9np4zkl>w;] t f4zk];r7l9zZGdm9Zp4zk];rvrkf4zv]a¥!hRzkdihRjvdel9n ¦¦¦¦¦¦"¦¦¦¦"¦¦¦"¦¦¦¦"¦ ! B:C ¶>D 5OQ I¶Á'R 8E1 ~G¦mG FhQjv];z)OhQf4w;];jjk];rvj¯¦"¦¦¦¦"¦¦¦¦¦¦¦"¦¦¦"¦¦¦¦¦¦¦"¦¦¦¦"¦¦¦¦¦¦¦"¦¦¦¦"¦¦¦"¦¦¦¦"¦4 ~G¦ _dmz HRhRjk];zrvZ4l>w|¤ jvf4©]p4zvl94ge];\$¦¦¦¦¦"¦¦¦"¦¦¦¦¦¦¦"¦¦¦¦"¦¦¦¦¦¦¦"¦¦¦¦"¦¦¦"¦¦¦¦"¦! 7 I º 4 I 57º 4 8JB. KLK Ì MÁñN;ØO.
(23) ^. L
(24) D * 6"
(25) % .
(26) %
(27)
(28) . a
(29) £
(30) ". ¾];w;];n>jkgmu>¡´hn4]'ª\f4gejvdep4Z©hRrv]_\l t ];gZhRr©];];np4zvl9pl9rv] t ¦"YZ4derfGn4w;l!n t dejvdel!nhQgegmuqZ>uEp©];zkl9gmdew"\ql t ];g derhR4ge]"jkl&rkl!ge¥!] pGZEu>rkdmwhRg´rvdejkfhRjkdml9n4r)7l9zZ4dew|Z jvZ4]l9jvZ4];z_\l t ];gerXhRdegi!v¦ _rh\&hQjvjv]'zlQ
(31) XhRw;j¡>dmj)derhR4ge]jvl_ rvl!ge¥9]w;gihRrkrvdewhQg\f4gejkdmpGZhRrk]"lRr ±iGf444geuClRr¡lRrdmjkZ t zkl!p4ge];t jkr¡];jkw!¦È³-hRr")];geg§hQroden>jv]'zXOhQw;]p4zkl!4ge];\qr¦ fG]jvl.hqf4n4de°>f4]"@l!zv\fGg®hQjvdel!nqlRjvZ4]aZ4l9gm]arvu>rkjv];\¡´jvZ4der"derzv]hRged ;] EuCrvl!ge¥>den4jkZ4]Z4l9gm]arv]'j"lR];°>fhRjkdel!n4r dmjkZ.jvZG]or|hR\]n>f4\q];zvdewhQg \]'jvZ4l t hRj_]hRw|Z\];rkZ.n4l t ]!¦} l!zk];lR¥!]'z¡´jkZ4der\l t ]'g derjkZ4]"l!nGgmu l9n4]"jvZ©hRj];n4rkf4zv];r ];n4];zk!uw;l!n4rk];zv¥!hQjvdel!nhRjjkZ4]oden>jv]'zXOhQw;]oge]h t den4jkZ4];zk]|7l!zk]jkl&hqp4zvl9p]'zohRn t hRw;w;fGzshRjk]rvl9gmfGjvdel!n.lQ§jkZ4]admn>jk];zXOhQw;] w;l!n t dmjkdel!n4r rv§l!hge¥9¥9];]rrvjvdezkn l!n4w'l!n rktZ4]'l>n4ws¤>rv] r)t deno\&w;l9hRjk\];zvp4dizkhQ];gmrvrrk¦de4¨Xgen ]t \q]'] dmx>t jk¡f4w;zvgi];hQrrvrv±Ò\dewhQ];gj|hR\gegedml wIt hQ];gmgegerlRu>hRrzk¡]&p©©lR hRrvt ] ];t zkrsl!³)n¢hRn jvtZ4]«der ² hQf4gervgel"];zhR4];°>ge])fjvhRl"jkderkl!l!n4ger¥!] w;tgel9];rvjk] l!t nhQ>jvu del!n h \dex>jvf4zk]²Ib´¦ )f4jjkZ4der\qdexEjkf4zv]²Ibqzv];gede];rl!nqf4n4p4Z>u>rvdewhQg´];°>f4degedmGzvdef4\0hRrkrvf4\qp4jvdel!nrkf4w|Z«hRr)jv]'\p©];zshQjvf4zk]"l!z t ];n4rkdmjXu]'°Ef©hRgedejXu"]'jX];]'np4ZhQrv];r¦IYZ4]nG];F\l t ]'gÁhQgegmlRrjkZ4] t ]'jv];zk\denhRjkdel!n"lQ
(32) hRgeg4jvZG];zv\ql t uEn©hR\dew¥!hRzkdihR4ge];r lRI]hRw|Z p4ZhQrv]!¡©hRn t w;l9n4rv]'°EfG];n>jvgeu \&hR¤9];rIf4rk]"lRp4f4zk]"\&hQjv];zkd®hQg ²£bqdejvZGl!f4jf4rkden4ha\qdexEjkf4zv]²Ib t ]hRg)dejvZt rvdejvf©hRjvdel9n4rZ4];zv]qdenEjk];zXXhRw;];rhRpGp]hQt z t u>nhQ\dewhRgegeu!¦"¿Gl!zden4rvj|hRn4w']!¡den½hqwh¥>dejshQjvden4qlR"¡´jkZ4]den4dejvdihRg p4f4zv]agede°EfGd jvz|hRn4r 7l!zk\rphQzvjvdihQgmgeujkl¥!hRp©l!fGz f4zvden4qjvZ4]zshRzk]|OhQw;jvdel!nC§h¥9];rp4zkl!phQEhQjvdel!n ¦ h¥>dmj|hRjkdml9np©l>ws¤9];jvr \&hua]_7l9zv\] t w;l!zkzv];rkpl9n t den4jklonG]; den>jv]'zXOhQw;];rdenjkZ4]lR" ¦ )gihRrvrkdewhRg´\q];jvZ4l t r)n4];] t jkZ4]den4dejvdihRg©¤>n4lRge] t !] lRIjvZ4l9rv]den>jv];z OhRw;]'r¦IYZG]"n4]; \l t ];g©derhR4ge]jvla\&hQ¤!]_jvZ4];\ hRpGp]hQz t u>nhR\qdewhRgegeuE¦ YZGl!rv]de\p©l!zkjshQnEj 7]hRjkf4zv]'rhRzk] t ];jshQdegm] t den v¦ YZ4]n>f4\q];zvdewhQgIrvl9gef4jvdel!nlRjvZ©hRj"\ql t ];gzv];°>f4dezv]'rork];¥!];z|hRgden49zv] t de];n>jkr¦qYZ4]n>f4\q];zvdewhQg
(33) \q];jvZGl t den>¥!l!ge¥9];r"h n4l!n w'l!n4rk];zv¥!hQjvde¥!]Z>u>p]'zv©l!gedewrvl!ge¥9];z¡hRnden4rvj|hRn>jshQn4];l!fGr"¥!];gel>w;dejXu.zk];gihRx4hRjkdml9n«pGzvl>w;] t fGzv]&hQn t hRnden4rvj|hRn>jshQn4];l9f4r"p4zk];rvrkf4zv] zk];gihRx4hRjkdel!npGzvl>w;] t fGzv]!¦ YZ4]_Z>uEp©];zkl9gmdewrkl!ge¥!];z)der t ];j|hRdege] t den i! v¦ _gejvZ4l9f4!Zp©];zX@];w;jvde4ge]!¡>)]fGrv]jkZhRj£rvl!ge¥9];zZG];zv]_dmjkZ4l!fGjI\l t d !whQjvdel!n¦ ¨X\qp4zvlR¥9];\]'nEjkrIl!nqjvZhQjrvl9gm¥9];zdegeg©]"jvZG]rkf4!{|];w'jlQ h7l9zvjkZ4w;l!\qden4l9zv¤´¦ YZ4]¥!]'gml>w;dejXu¯zv]'g®hQx4hRjvdel9n pGzvl>w;] t fGzv]den>¥!l!ge¥9];r];dejkZ4];z jvZ4]zv]'rvl!gef4jkdel!nFlQhRn ²-p4zkl!4ge];\*ZG];n jkZ4]¥!];gel>w;dejXu zk];gihRx4hRjkdel!nZhQr§h !n4dejv]_zshQjv]!¡>l9z§hQn];°>f4degede4zvdef4\-p4zklEw'] t f4zk]!¦IYZhQj]'°EfGdmgede4zkdmfG\pGzvl>w;] t fGzv]"der)jvZ4]_\l!rkjIf4rk]|7f4gl!n4]¾7l!z jkZ4]"p4zk] "Xw;dejv] t hQp4p4gedewhRjkdel!n4r¦I¨Xjdegeg´©]"zv];whRgege] t den jvZ4derzv]'pl9zvj4f4jdej t l>];r_n4l!j_pl9rv]ohQnEuqphRzkjvdew;f4gihQzp4zvl94ge];\«¦£YZhRj pGzvl>w;] t fGzv]"w;l9n4rvderkjvrden.hRnq];x4hRw;jhRnhQgeuEjkdewhRg©rvl9gmfGjvdel!nqjvZhQjdmrnGl!j¥!]'zvu t d ¬w'f4gejjkl!];j¦ YZ4] p4zk];rvrkf4zv]Czv];gihRx4hQjvdel!n¢p4zvl>w;] t f4zv].dera\f4w|Z\l9zv] t d ¬w'f4gej"jvlrvl9gm¥9]!¦¢¨XjoderalRp©hRzshQ\l9f4n>j"de\p©l!zvj|hRn4w']Z4];n t ]hRgeden4admjkZ dmn>jk];zXOhQw;]p4zvl94ge];\r"±ÒjvZ4]p4zv];rkrvf4zk]o]'°Ef©hRgedejXuhRjjvZG]"denEjk];zXXhRw;]"derjkZ4]"\l9rvj t d ¬w;f4gej)w;l!n t dmjkdel!njkla7f4g !gegi³;¦ ¨XjderhQgmrkllRI\&h'{|l!zIde\qpl9zvjshQn4w;]_7l9z t ];jvl9nhRjkdel!n ¡>rkZ4l>ws¤>rhRn t wh¥Edej|hRjvdel9n&hRpGp4gedmwhRjvdel9n4r¦YZ4]rshR\q]jXu>p©]"lRIp4zklEw'] t f4zk] der"nG];w;];rkrshRzkujkl.rvl9gm¥9]denjvZ4]qw;l!n>jv]'xEjalRjvZG]w;l9\p4zk];rvrkdmGgm]\ql t ];gIp4zk];rv]'nEjk] t >u )l>°>f4];g)];jhRgX¦ È^ v¡IhRn t jvZ4]r|hR\] pGzvl!Ggm]'\&hRjkdewderhRgervl"pGzv];rk];n>jdmnjkZ4]w;l!n>jk];x>jlQ jvZ4]¥!hRzkdel!f4rI\ql t ];gerIhRn t rvjvf t de];rlR )f4jvge];z)];jhQgO!¦ ~ v#¡ ""hRpGdmgih]'j§hQgO!¦ > hQn t t ;deg];jhQgO!¦ v¦ YZhQj"zv]'pl9zvjadmr t ];¥!l9jv] t jkl.jvZG]&hRrkrv];rkrv\q];n>j"lRjkZ4der"p4zv]'rvrvfGzv] zv];gihQxÁhQjvdel!np4zklEw'] t f4zk]!¦ F] !zkrvjap4zv]'rv];n>jajvZ4]qjXl ]'xEderkjvden4p4zvl>w;] t f4zv];r lQb4hRf4zk];ghQn t _4!z|hRge
(34) g i! Z4dew|Z hQzv] jX)l«dejv]'zshRjkde¥!]pGzvl>w;] t fGzv];r.hRn t hRgerkl«jkZ4zv];]Cl!jvZG];zn4]; hQge!l!zkdejvZ4\qrhQ\l9n4.Z4dew|Z¯jXllR"jvZG];\ hQzv] °>fhRrkd " t dezk];w;jp4zklEw'] t f4zk];r¦_gervl¡£l!n4] lQjkZ4] n4]; hRge!l9zvdejvZG\ der\l!zk] 9];n4];z|hRgdmnqjvZ4]rv];n4rk]"jvZ©hRjdejhRgegelRrIjvZG]"f4rv]lQ °>f4dejk]!]'n4];zshQgI²Ib´¦ YZ4]phRp©];zderl!zkEhQn4d ;] t hQr7l9gmgelRr¦IYZ4] " \ql t ];g hRn t dmjkrp4zkl!p©];zvjkde];r"hRzv] !zkrvjzk];whQgmge] t ¦YZ4]'n.] t ];j|hRdeg jkZ4] t d ´];zk];n>j"zv];gihQxÁhQjvdel!np4zklEw'] t f4zk];r&hQn t hQj"gihRrkj"]p©];z 7l!zk\ rkl!\q]ozk];p4zv]'rv];n>jshQjvde¥!]qn>f4\];zkdewhRgIjk];rvjkrojkl.w;l9\phQzv]ajvZ4l9rv] pGzvl>w;] t fGzv];r¦ $ % ( '&)( ©/ª & &( " #* F]hRzk]denEjk];zv]'rvjv] t den½h " 0 "OpGZhRrk]"lR p4zvl94ge];\ dejvZh>hRrp4ZhQrv].+± *«den t ];x4³"hQn t hqgede°>f4d t p4ZhQrv].-± ,den t ];x4³;¡dmn ZGdmw|Zql9jvZ \&hQrvrhRn t Z4]hQjjvz|hRn4r 7];zhQzv]n4l9jw;l!n4rkd t ];zv] t ¦b>den4w']"jvZ4]jX)l¥!l9gmfG\])7z|hRw;jkdml9n4r)¥!];zkd @u ±k³ .0/213.046587 9. âiÙ K âiÜ.
(35)
(36)
(37) !" # %$%
(38) &'('*) ,+-./. @. jkZ4]Z4l!ge]rvu>rkjv];\jvl©]"rvl9ge¥!] t zv]h t r . .0/ 1
(39) .0 / 5 /049 . / / 1
(40) . /#/)/ 5 9 / / / 1
(41) ! . /"#/
(42) /# 13. / /%$ 5
(43) .0 / &! / 4
(44) 9 . . / / / ' / ) / / + / ' / / /. . 1 . 1 . , 5 ( *) ( 1. / / 0 4 1!&2 )/ 4
(45) 9 5 9 . %4 4 1 ( . 34 #44 4 . / ( # 0 . 4 4 4 1 0 . 4 4 1 0 . 4 5 0 4 $ 6 5 7 " . 4
(46)
(47) 18&0 /7 49
(48) 9 .0/ 4 % 4 4 ' 4 ) 4 4 : # 4 4 ' 4 4 4. . 1 . 1 . ; . , 5 6 <
(49) )
(50) ! / / ! 4 018&2 / )4
(51) 9 . . . . . ±@!³. ZG];zv] t ];n4l!jk];rjvZG]den>jv];z OhRw;]¥9];gelEw'dmjXu>¡RjkZhRj)]w|Z4l>l!rk]];°>fhQg´jvl"jkZ4]¥!];gel>w;dejXualR
(52) jkZ4]w'];n>jv];z_lR \&hQrvr¦ _rdejIdegeg©] rkZ4lRn denjvZG]@l!gegelRdmnG¡RdejhRgerklow;l9zvzk];rvp©l!n t rjklojkZ4]"];°>f4degede4zvdef4\-¥9];gelEw'dmjXu .0/ / /21 .04 4 4 9 ±@~!³ 5 . /"#/ 1 . 4:#4 derjvZ4]den>jv];z OhRw']"p4zv]'rvrvfGzv]a];rvjkdm\ hRjk] t ];°>fhQg jklojkZ4]"\dex>jvfGzv]pGzv];rkrvf4zk] ±Ò^E³ 5 . / / 1 . 4 4>= ] C"Xp4ZhRrk]"¥!]'gml>w;dejXu>¡ t ];n4rvdejXu>¡4p4zk];rvrkf4zv]hRn t jkl!j|hRg ]'n4];zv9uE¦£YZ4] @? ¡ A? ¡ ? hRn t 'B? ± C 5 * 9 ,7³U¡ t ];nGl!jv]zv];rkp];w'jvde¥!];geu jvZGD h& Qn t 7f4nGw;jvdel!nGrhQzv]azv];gihQjv] t jkl&jkZ4]azv];gihRx4hQjvdel!n.] ];w'jvradmnjvZG]o¥9];gelEw'dmjXuhRn t p4zv]'rvrvfGzv]zk];rvp©];w;jkde¥!];geu>¦} l!zv] t ];jshQdmger degeg©]"9de¥!];nqdmnqjvZ4]7l!gegelRden4¦ YZ4]jkl!j|hRgI];nG];zv9u 'B? der"zk];gihRjk] t jvl.jkZ4]den>jv];zknhRg)];n4];zk!!u E ? hRn t jvZ4]q¤>dmnG];jvdewa];n4];zk!u>u.jvZG]7l9gmgelRden4w;gihQrvrvdewhQg zk];gihRjkdml9n 7 ± @!³ ' ? 5 E ? 1 F (?# = YZG]rvu>rvjk];\ dmrw;l!\qp4ge];jv] t >u.jX)l.];°>fhRjkdel!n4rlRrvj|hRjk]zv]'gmu>den4 ]hQwsZpGzv];rkrvf4zk] ? jvl jkZ4]den>jv];zknhRg£];n4];zk!!u E ? lQ§jkZ4] @l!gegelRdmnG@l!zv\ ± >!³ ? 5G ? ? 9 E ? = YZG]\ql!rkjw;gihQrvrvdewhQg ²Ib f4rk] t 7l!z\f4gejkdmpGZhRrk])lRrhRzk]9de¥!];n ©];gelR"¦ 9¦ # H %JI
(53) D7K2L' ± ?!³ ? 5MN ? 7: ? E ? !N ? ?4O P 9 Z4];zv] N ? hRn t ?AO P hQzv]jX)l n4l!nnG];EhQjvde¥!]w;l9n4rvj|hRn>janEfG\];zkr¦ FFZ4];n ?4O P 5Q ¡ )]zk];w;lR¥!]'zojkZ4]w;gihQrvrvdewhQg p];z 7];w;j>hRr²Ib hRn t denjkZhRjwhRrv] N ? derjkZ4]"w;gihQrvrvdewhQg´rvp©];w;d !waZ4]hQjzshRjkdel N ? 5M9R>S ?UT 9RBVW ? ¦ GY¦ X%
(54) 6YZ
(55) D 7K2L' ?+\
(56) ? R ? ±@!³ ? 5 [ 9 ? !] ? ?# Z4];zv] [ ? dmr)jvZG]\&hQrvrIw'l!n4rkjshRn>jlQ jvZ4/] C"Xp4ZhQrv]!¡ \
(57) ? der)jvZ4]_jv];\qp]'zshRjkf4zv]9¡ ? 587 T ? der)jvZ4]rkp];w'd !©w¥9l!gef4\q]!¡ ] ? dmr_jvZ4]w;lR¥!l9gmfG\]!¡>dX¦ ]!¦)jvZ4]¥!l!gef4\q]l>w;w;fGp4de] t >uqjvZ4]a\l9gm]'w;f4ge];rhRn t der_rvf4p4p©l!rk] t jvl©]"w;l!nGrvjshQn>jhQn t pl9rvdejvde¥9]!¡ der"hRgerkl&hqpl9rvdejvde¥9]ow;l9n>jshRn>j¦"YZ4der"²IbderlQ7jv]'n«f4rk] t Z4];np4ZhQrv]w|ZhQn4!];rlEw'w;f4z±Òl9dmgeden4©¡wh¥Edej|hRjvdel9n.l!z w;R l!? n t ];n4rshQjvdel!n©³;¦ )f4j dej whRn"©]rkZ4lRn"jkZhRjjvZ4der
(58) ²£b t l>];rn4l!jU7f4g !geg!jkZ4]Iw;l9nE¥9];x>dejXuzk];°>f4dezv];\q];n>j´7l9z hRnohQw;w;f4z|hRjk] rvl!gef4jkdel!n dejvZ.>hRr t uEn©hR\dew_];°>fhRjkdml9n4r"9± ^l t f4n4lR¥&hQjhQgO¦ @v¡} ]'n4de¤!l hRn t ygel!Z4
(59) z ? Ò³'¦)¨Xn.jvZ4]w;l!n>jv]'xEjlQ jkZ4] \f4gejvdep4ZhQrv]a\l t ];gzv]'p4zv];rk];n>jshQjv] t >urvu>rvjk];\*±79³;¡]hQwsZpGZhRrk]p©l!rvrk];rvrk];rdejkr"lRn½²£bU¡
(60) hQn t rvf4w|Z¯h \dex>jvf4zk] ²Ib gedm¤9]jkZ4]¥!hRn t ];z FhQgmgerIl9n4]"der)f4rv];ge];rkr-¦ F]degeg´n4l9jw;l9n4rvd t ]'zrvfGwsZCjXuEp©]lRI²Ib denjvZGdmrzk];p©l!zvj¦ ~G¦ *`_ % '6aK2L' « ± !³ ? 5MN ? ? " 7: ? E ? !N ? ? b ?AO P ?
(61) 9 dmj)derIdenrvl9\]rv]'n4rv]"h9];n4];z|hRged hRjkdml9nlR jkZ4]p4zk];¥>del!f4r)];°>fhRjkdel!n4r)lR rkjshRjk]hQn t der9];n4];z|hRgegeuof4rk] t @l!zIrkl!ged t ¡!gede°>f4d t hRr)];gegIhRr_EhRrhRj¥9];zvu.ZGdm9Z p4zv];rkrvf4zk]!¦YZ4]a\&hQdmn t d ¬w;f4gejXuw'l!n4rkdmrkjvrden t ];jv]'zv\den4den4jkZ4]7f4n4w;jkdel!n4r_lR ? ¡dX¦ ]!¦ N ? hRn t ?AO P ¦ KLK Ì MÁñ N;Ø O.
(62) L
(63) D * 6"
(64) % > .
(65)
(66)
(67)
(68) . F]_\&huazv];zkdejv]"rkuErkjv];\. ±@!³£den&jk];zv\qrlQIp4Z>uErkdewhRg´¥!hQzvdihR4ge];r. 5M.0/9 / 9 /#9 0/9 4 9 4 9 04"! 9. >u. . ZG];zv] %&& && && && # . . ( . 1$#D. U. . &&. 5. &&. && &&. && && && '. hQn t.
(69) %
(70)
(71) . . #/ . / / . / . "/ #/ /)( /# O .0/ / 8 4 . 4 b4 3 4 ! .04 4 #4 ( /# O .04 )4 . (. ?#. 5. / . . . . . . . . . . . . . . #/. . /. 7 T #/ # / ( /# / . . E? ? S10 ? . ?# / E ? ? .2 0. ±v !³. 5 9. 4 . . . . . . . . . . . . 93( ?A# O 5. 4 . . *,++ ++ ++ ++ ++ ++ ++ ++ ++ ++ ++. 4 7T4 #4 ( 4# )4 . E? S10 ? . ?# / E ? ? .2 0. 9. 9. ±v9³. -. ±v!³. zk];p4zk];rv];n>jzk];rvp©];w;jkdm¥9];geujvZ4]2C"Xp4ZhRrk]rkl!f4n t rkp]'] t hQn t jvZ4]2C"Xp4ZhRrk]rvl9f4n t rkp]'] t hQjIjvZ4]_denEjk];zXXhRw;]p4zk];rvrkf4zv]w;l!n t dmjkdel!n ¦ F]_\&hua]hRrkdegmurkZ4lR jvZhQjjvZ4der\&hQjvzkdmxh t \dejvrIrk];¥!]'n.zv]hQg
(72) hQn t t dervjvden4w'j];de!];n>¥!hRgef4]'rZ4dewsZ hRzk]±9C 5 * 9 ,7³ .
(73) 5. &b &5?4 7 & ?6 5& ?9. 5. 9. 5. 5. U ? $( ? @? 8 (? ? =. 1. 9 9. F]whRnjkZ>f4rrkjshQjv]jvZhQj¡>];x>w;]'p4jdenjvZ4]whQrv]ZG];zv]jvZG]]'dm9];n>¥!hRgef4];r)hRzv]_gelEwhRgegeu. Z>u>p©];zv©l!gedew"hRn t jvZ4];zk]|7l9zv] t dihR!l9nhRgedhQ4ge]!¦ :. ±v~!³ t ]'!];n4]'zshRjk] t ¡GjvZhQjrkuErkjv];\derIrvjkzvdew;jkgmu. ;=<>
(74) ?7@)ABC A<D EF@)EGH
(75) CC<
(76) =
(77) A@I@ E . YZG]n>f4\q];zvdewhQgrkl!gef4jkdml9nlQ rku>rvjv]'\ ±@!³)zv]'°EfGdmzk];rhaZ>u>p©];zv©l!gedewrvl!ge¥9];zhRn t jX)lozk];gihRx4hRjkdel!npGzvl>w;] t fGzv];r_7l9zjvZ4]rvl9f4zvw'] jk];zv\qrzk];rvl9gef4jvdel!n¡4p4zklR¥Ed t ] t jvZ©hRjb>jkzshRnGrvp4gedejvjkdmnG i derhQrvrvfG\] t jvla©]"¥!hRged t ¦ F] !zvrkjzk];whRgegjvZ4] t ] !©n4dejvdel!n lRjvZ4]Z>u>p]'zv©l!gedewrkl!ge¥!]'zhRr!de¥9];nden 49zshQgmg hQn t bGhRf4zk];g i!v¦. âiÙ K âiÜ.
(78)
(79)
(80) !" # %$%
(81) &'('*) ,+-./. ?. · I¶>RIº 5Oq;º ©¶> YZG]Z>u>p©];zv©l!gedewphRzkjlR
(82) rku>rvjv]'\ ±7!³)zk]h t r 8 81. =. . / ./ . 1 U
(83) 5G9 0 . / 4 / 1 U ( .0/ / /5!5- 9 .0/ / " # / ) / / /
(84) # / /. . 1 . 3 1 . 5 $ / U ( 0 ( 9 .0/ U .0/ / ' 3/ 1
(85) ) / .0/ / ' /21 .0/+0/5;, 5 W
(86) 9 5 9 U . :4 #4 1
(87) . %4 44 )4 .0/ U . :4 #44 4 1 ( 0 . :4 #44 4# 1 . 4 4 $ 5 7 ( 9 5 7
(88) . / 9 U . :4 #44 ' 4 1 ( ) 4 . %4 44 ' 4 1 . 4 4 , 6. . . ±v'^E³. YZG]Z>u>p];zkl9gedmwrkl!ge¥!];z)derw'l!\p©l!rk] t lQ
(89) h"nGl!nw'l!n4rk];zv¥!hQjvde¥!]rvw|Z4]'\]jklrvl9gm¥9]jkZ4] ! zkrvj];°>fhQjvdel!nqlRjvZhQjrkuEjk];\Z4dewsZ zk]h t rhRr"±irk];w;l9n t l!z t ];z_];x>jv];n4rkdel!n.lQ
(90) jvZG]¼
(91)
(92) rkl!ge¥!];z¡4rk];] i!v¡>p ¦^9^E~!³ .1 4 5 .. . .. C 4 O 1 4 4 4 4 4 4 6 4 1 4 O 6 . C 4 O 1 4 6 6 6 6 4 6 4 6 6 6 . 14
(93) 4 4 7& C 4 4 6 . ZG];zv] & 5 ZG];zv]. T . .. .. C 4
(94) O 6 4 6 4 . 6 . 1 4 4 4 O 4 6 6 . 1 6 4 O 4 . .. .. C 4 O 4 6. ±v6@!³. 1 4 O 6 6 . 9. ¡>hRn t ha°>fhRrkd"Ow;l9n4rv]'zv¥!hRjkde¥!]rkw|Z4];\]jklrvl!ge¥9]jkZ4]zv];\ hRden4den4">a]'°Ef©hRjvdel9n4r. C 4 . YZG]n>f4\q];zvdewhQg4©f4x>];r. 5. !& 1 4 O 9 C 4 O " O 9 O 1 14 ! 6 6 6 4 4 6 4 4. 5 7. 4 4 . .. C 4 O 6 4 4 6 4 4 6 4 . 1 4 4 O 6 9 C4 4 O 4 #"%$&$. 5. .. 1 4 O 4 6 4
(95) 4
(96). .. 1 4 O 6 6 6 6 4 6 6 6 . .. 1 4 O 6 4. 9. =. ±v6>!³ ±v6?!³. hRzk]!de¥!];nq>ujvZG]¼
(97)
(98) hQp4p4zvlRx>de\&hQjv]¾dm]'\&hRnGnrvl!ge¥9];zZ4dew|Z&zk]h t r. 4 (' 6 () 1 4 6 ) ' = 4 6. ±v!³. _geg t ];jshQdegmrhRn t nGl!jshQjvdel!nGr§hQzv]"9dm¥9];ndenq49zshRgeg hQn t b4hRf4zk];g i9 ¦ 8 8 8 * ¶ @º D 5@;·R¶ 7!+´G5@º 4 ¨Xn\ hRn>u rvdejvf©hRjvdel9n4r¡hRn t denphRzkjvdew;f4gihQz7l!zdmn>jk];zXOhQw;]p4zkl!4ge];\qrrkl!ge¥!] t Eurvu>rkjv];\±@!³'¡ den4rkjshRn>j|hRn4];l9f4ra¥!];gel>w;dejXu.zv] " gihQxÁhQjvdel!nqdern4];w'];rvr|hRzvujvlqrshQjvderX7u jkZ4] !zkrvjdenEjk];zXXhRw;]aw;l!n t dejvdel!n w;l9zvzv]'rvp©l!n t den4 jkl&hnGl!zv\ hRg´¥9];gelEw'dmjkde];r];°>fhQgedmjXu>¦)YZ4]. KLK Ì MÁñN;ØO.
(99) . L
(100) D * 6"
(101) %. den4rkjshQnEj|hRn4]'l!f4r¥9];gelEw'dmjXuzk];gihRx4hRjkdel!npGzvl>w;] t fGzv]aw;l!n4rkdervjvr_denrvl9ge¥Eden4ajvZG]@l!gegelRdmnGo ²¢rkuErkjv];\Z4];n . ./. . . . . . &. 5 9. . .
(102) %
(103)
(104) . . "/ #/ U . "/ #/ / U . "/ #/ ' / U . :4 #4 U . :4 #44 4 U . :4 #44 ' 4. 5 9. . 567&/ / 94
(105) 9 567&2U / 49
(106) 9 5 9 5 21 &/ )/ 4
(107) 9 5 21 &2 )/ 4 =. ±v!³. bÁl!gef4jvdel9nlRIjkZhRj ²¯p4zkl!4ge];\denjvZG]"gedm\qdej der t ];jshQdmge] t den 49zshQgmg hQn t b4hRfGzv];g'i!v¦
(108) U];j| "]jvZ4]"den t ];x rku>\l9g>7l!z£jvZ4]_rvl!gef4jkdel!nl!GjshRden4] t h@jv];z)jvZ4]_Z>uE&p© ];zkl9gmdew_rvl!gef4jkdel!nrvjk];p&hQn t ©]jkZ4]den t ];xrvu>\©l!g>7l9zIjvZG]rvl9gef4jvdel!n 9l!jkjv];n.h@jv];zjkZ4]¥!];gel>w;dejXuzk];gihRx4hRjkdml9np4zkl>w;] t f4zk]!¡©jvZ4]'n&)]"9];j . . . . /
(109) /
(110) 4
(111) 4
(112) E /
(113) E 4
(114). 5 . /9 9 5 /9 9 5 49 9 1 .)49 49 49 9 5 /
(115) 5
(116) 5 B 9 5 ). /9 . /9/9 //99 13 . 49 49 7 5 E /9 1 F /
(117) /9 $ # 9 5 E 49 1 F 7 4
(118) 49 $ # =. ±79 !³. ' 4 4 ¶>º I =R¶Á
(119) R¶qR¶ 7!+´G5@º 4 FTZ4];n t ]hRgeden4dejvZ denEjk];zXXhRw;]"pGzvl!Ggm]'\rrvl9ge¥!] t dejkZ&rku>rvjv]'\ ±79³;¡GjvZ4]arv];w'l!n t denEjk];zXXhRw;]"w'l!n t dejkdml9n jvZhQjn4];] t rjvl©] @f4g!gegm] t dmrjkZ4]"p4zk];rvrkf4zv]a];°>fhQgmdejXuhQjjkZ4]"den>jv];z OhRw;]9¦ hujvlr|hRjvder 7ujvZhQjw;l!n t dejvdel!nqdmrjklzv];gihQxjvZG]pGzv];rkrvf4zk];r"©];jX]'];n.p4ZhQrv];r_jvlRhRz t r]'°EfGdmgede4zkdmfG\ 8 8 B. 2'4. . / 5- 4. =. t ]hRgeden4dejvZ"w;l9\p4zk];rvrkde4ge]\ hRjv]'zvdihRgR\qdmx>jkf4zv];r¡jvZ4];zk]§hQzv])rvdejvf©hRjvdel9n4r´7l9z Z4dew|Z"p4zk];rvrkf4zv]]'°EfGdmgede4zkdmfG\ der zk]hRw|Z4] t rklOhQrvj_jvZhQjjvZG]o¤>n4lRge] t 9]lRjkZ4] t ];j|hRdegerlQjvZ4]p4zv];rkrvf4zk]zk];gihRx4hRjkdml9n p4zvl>w;];rkr"dern4l9jf4rv] 7f4gegX¦²x4hQ\p4ge];rhQzv]"rkZ4l>ws¤ pGzvl!p©hREhQjvdel!nden rvl9ged t hRgegelRu>rIf4n t ]'zrvjkzvl9n4rvZ4l>w|¤ §h¥9];r¡ t ];jvl9nhRjkdml9nden rvl9gmd t ];x>p4gel!rvde¥9];r];jvw9¦ i v¦ YZ4]'zv].derhRnGl!jvZG];zde\p©l!zkjshQnEjzv]hQrvl!n 7l!zaZ4dew|Z jkZ4].zk];gihRx4hRjkdml9np4zkl>w;] t f4zk]«derde\p©l!zkjshQnEj¦YZG].f4n4w;l9n t dejvdel9nhRg Z>u>p©];zv©l!gedew;dejXu¯lRorkuErkjv];\ ±79³der.hw'l!n4rk];°>f4];n4w;]¢lRojkZ4]w;l9\p4zk];rvrkdmGdmgedejXulRjvZG]«p4Z©hRrv]'r¦ )f4j.jkZ4];zk]hRzv]hgel9jlR rkdejvfhQjvdel!n4r£7l9zZ4dew|ZjkZ4]p4zv]'rvrvfGzv] t d ];zk];n>jvdihRg´©];jX)];];n.pGZhRrk];rder)n4];!gede!de4ge]I hQge\l!rkjhRgeg©rvdejvf©hRjvdel9n4rdejkZ&gede°>f4d t hRn t >hRr\qdmx>jkf4zv];rhQjgelRF¥9];gelEw'dmjXu>¦)YZ4]"rkl!f4n t rvp©];] t dmn jkZ4]ogede°>f4d t p4Z©hRrv]];den4q¥!];zkuqOhRrkjw;l!\qphRzk] t jvljkZ4]"w;l9n>¥!];w;jkdel!n ¥9];gel>w;dejXuE¡©\l9rvj_\l t ];ger"hRrkrvf4\q]op4zk];rvrkf4zv]q];°>f4degedmGzvdef4\ ©];jX]'];np4Z©hRrv]'r ¦ FFZG];nrvf4w|ZhQn½hQrvrvrkf4\pGjvdel!n.der"\ h t ]9¡jkZ4] zk];rvfGgmjkden4\l t ];g©dern4lagml9n4!]'zZEu>p©];zv©l!gedew"hRn t n>f4\q];zvdewhQgden4rkjshRGdmgedejvde];r)l>w;w;f4z¦ _f4zIrkjvz|hRjv]'!uderIjvlw;l!n4rkd t ];zI]hQw|Z\&hQjv];zkdihRg4hRrh_w;l9\p4zk];rvde4ge])fGd t jvlgm]'jIjvZ4]_§h¥9];rI];¥9l!ge¥!] t f4zkden4"jvZG]ZEu>p©];zv©l!gedew rkl!gef4jkdml9n ¡hQn t jvZ4]'n«jkl\&hQ¤!]jvZG]"p4zv]'rvrvfGzv];razv];gihQx&jklR§hQz t rhRn ];°>f4degede4zvdef4\rvj|hRjv]9¦ FFdejkZ&rkf4w|Z½hMrvjkzshRjk];!u>¡©n>f4\];zkdewhRg den4rkjshQ4degmdejkdm]'r§hQzv]zv];\qlR¥!] t ¦ YZ4]ahRde\0lRjvZ4derzk];pl9zvj_dmrjklrvjkf t ujkZ4]"de\p©l!zkjshQn4w;]lQ
(120) jkZ4derzv];gihRx4hQjvdel!nqrvjv]'p ¡©jvladm\qp4zvlR¥9] dejkrhRw;w;fGzshRw'u&hRn t w'l!\pGf4jshQjvdel!nhQg4]|¬w;de];nGw;uE¦ YZ4]p4zk];rvrkf4zv]azv]'g®hQx4hRjvdel9np4zklEw'] t f4zk]ow;l9n4rvderkjvrdenqrvl!ge¥>den4ajvZ4]_7l9gmgelRden4o ²¢rvu>rvjk];\dmn jkZ4]gmde\qdmj yI
(121) 9 ±7G³ U 5 FTZ4];n. âiÙ K âiÜ.
(122) .
(123)
(124) !" # %$%
(125) &'('*) ,+-./. ZG];zv] ed rjvZ4]"¥9];w;jkl!zlRw;l!nGrv];zk¥!hRjvde¥9]"¥!hRzkd®hQ4ge];r M 5 .0/9. .0/ / 9 .0/ / / 9 .0/ / ' / 9 .04 4 9 .04 4 4 9 .04 4 ' 49 ! 9. hQn t y£ dmrjkZ4]p4zv]'rvrvfGzv]azv];gihRx4hQjvdel!nql!p©];zshQjvl!z t ] !nG] t >u %&&. y£. . && &&. 0/. 4. /. 5 && '. *,++ ++ ++ ++. B8 / 8 9 . 4. /. ±79!³ ±79~!³. =. -. 4. YZG] ¥!hRzkd®hQ4ge]zk];p4zv]'rv];n>jvrhRnCZ4l!\ql!!]'n4];dhRjkdel!nphQzshR\q];jv]'zw;l9nEjkzvl9gmgeden4ajvZ4]azshQjv]ohQjZ4dew|Z.p4zk];rvrkf4zv]'r"jv];n t jklR§hQz t r ]'°EfGdmgede4zkdmfG\«¦©¨Xjvrp4Z>u>rvdewhQg \q]hRn4den4ZhRr©];];no{ f4rvjkd !©] t dmjkZw;l9n4rvd t ]'zshRjkdel!n4r_hRrk] t l!n jvZ4]rk];w;l!n t gihFlRjvZ4];zk\l t u" n©hR\dew;r£Eu §hQ];zhQn t _f4n);dihQjvliv¦ ¨XnajvZ4]9];n4];z|hRg4whRrv]9¡!dejvr£dmrIh¾¥!];zkuow;l9\p4gedewhQjv] t @f4n4w;jkdml9nolQ hRgeg9lR¢¥!hRzvdihQ4ge];r
(126) hQn t \qdew;zvl "OrkjvzvfGw;jvf4zk]lRjkZ4]\dex>jvfGzv]!¦ FTdmjkZl!f4zhRpGp4zvl>hRw|Z ¡>¤>n4lRge] t 9]lR jkZ4derI@f4n4w;jkdml9nder)f4rv];ge];rkrrvden4w;]p4zk];rvrkf4zv]];°>f4degmde4zkdef4\-dmrhRgehu>rhRrkrvf4\q] t ¥!];zkuOhQrvj w'l!\p©hRzv] t jvljkZ4]"hRgeg´l!jkZ4];zjkdm\q]rkwhRge];r¦ ¾7jv];zarvl9ge¥Eden4CjvZ4]qrvu>rvjk];\c±@!³ahRj"jkde\] hRn t ¥!]'gml>w;dejXuzv];gihQxÁhQjvdel!nrkjv];p¢d n4];w;];rkrshQzvu>¡jkZ4]pGzv];rkrvf4zk].zv];gihQxÁhQjvdel!n pGzvl>w;] t fGzv]"w;l9n4rvderkjvrden rvl9ge¥Eden4jvZ4]@l!gegelRdmnG t d ´];zk];n>jvdihRgrvu>rvjk];\ 5 yI
(127) 9 ±7Q^E³ dX¦ ]!¦e¡ t f4zvden4jkZhRj_p4zvl>w;];rkr¡jvZ4]arv]'w;l!n t ¡jkZ4dez t ¡ !4@jvZ«hQn t rvdex>jvZCw;l!\qpl9n4];n>jvr_lRIjvZ4]a¥!]'w;jvl9z t ];n4l!jkden4jkZ4]"rvl9gef4jvdel!n ¥9];w;jkl!zlRIjkZ4]rvu>rvjk];\ ±79³hRj)jvde\] ¡©hRzk]w'l!n4rkjshRn>j¦ _rvden4jvZG ] !©zvrvj_];°>fhRjkdel!n«¡G]\ huozk];zvdejv]jkZ4]"];n4]'zv!u ];°>fhQjvdel!nGr§hQr . . ' % 4' . . / #/ / 5 .4 4 4 5. . .0/ 9 ./ =. . . ±7@!³. . jvZ4]aden4dejvdihRged hQjvdel!nqjvde\]lR)jvZ4]ap4zv]'rvrvfGzv]zk];gihRx4hRjkdel!n p4zvl>w;]'rvrhRn t >u _];nGl!jvden4q>u jvZ4] !nhQg
(128) jkde\]lRjkZ4] pGzvl>w;];rkro±idX¦ ]!¦jk\ Z49 ]5 p4zv];rkrvf4zk]];°>f4degedmGzvdef4\ !nhQg´jvde\]³)hRn t den>jv];9zshRjkden4ojkZ4]"];°>fhQjvdel!nGrdmn ) \ 9 9 \ \
(129) ,
(130) ¡>]9];j . . / #/ /
(131). . ' . .04 4 ' 4
(132). . / #/ / 9 5. G " ' . . 4 4 ' 4 9. jkZhRjder¡>EufGrvden4jvZG]7l!gegelRden4w|ZhRn49]lR
(133) ¥!hQzvdihRGgm]'r. . . / 5 U0. /. !. . . 5 . ! !. ! . . . . . . .0/. . 9 . 9. U. ./. U. ±7>!³. 9 .
(134) / ' /5
(135) G.0/ / ' 3/ 9 5 0 . / " . / 9
(136) ±7?!³
(137) . %4 4 ' 4
(138) G. 4% 44' 4 9 5 . / 9
(139) ZG];zv]jvZG] ;];zklden t ];xw;l9zvzk];rvp©l!n t rjvlajvZG]¥!hQgef4];rIj|hR¤!]'n&hRj 5 \ 9 5 ¡4hRn t jvZ4] den t ];x t ];n4l9jv];rjkZ4]¥!hRgef4];r£jshR¤9];n hQjIjvZG] !©nhRg©zv];gihQxÁhQjvdel!njkde\] 5 \
(140) ¦/F]\ hu"jvZ4]'np4zklEw'];] t denjX)l"§hu>r];dejvZ4];z)jvZG]pGzv];rkrvf4zk]"¥!hRzkd®hQjvdel!naderZGdm9ZhRn t. . . denqjvZhQjwhRrk])]\&huap4zv] 7];zjvlfGrv]"hRn dejv];z|hRjkdm¥9]n>f4\q];zvdewhQgp4zkl>w;] t f4zk]ojklo9];jjvZG]ohRp4pGzvlRx>de\&hRjk] t rvl!gef4jkdel!nZG];zv]"jkZ4] den>jv]'!zshQg den jvZ4]azvde9ZEjZ©hRn t rkd t ]"degeg ©]ohRp4pGzvlRx>de\&hRjk] t ¡>l9zjvZG]"p4zv]'rvrvfGzv]¥!hRzkdihRjvdel9n&dergelRhRn t den.jkZhRjwhRrv]a)]"\&hu fGrv]h t dmzk];w;jrvl9gef4jvdel!nCp4zvl>w;] t f4zv] h7jk];zjvZ4]adenEjk];!z|hRgZhQr©];];nhRpGp4zvlRx>de\&hQjv] t t ];p©];n t dmnG.l!n.jkZ4]²IblR]hQw|Z.fGd t den>¥!l9ge¥!] t ¦
(141) U];jf4r !©zvrvjl94rv]'zv¥!]jvZ4]"whRrv]Z4]'zv]"jkZ4]"p4zk];rvrkf4zv]a¥!hRzkd®hQjvdel!ndergelR"¦ KLK Ì MÁñ N;Ø O.
(142) . L
(143) D * 6"
(144) %.
(145) %
(146)
(147) . »L5@R¶ÁQo'º 5@º 4 =Rº Q¶Á»R¶vº© @º4¹ =R¶4R¶ >4D5@4657º 4 FTZ4];n t ]hRgeden4dejvZ fGd t r!lR¥9];zvnG] t >u jvZ4]arvjkd ´];n4] t >hRr²£bhRn t Z4];n.pGzv];rkrvf4zk]¥!hRzkdihRjvdel9n4r§hQzv]agelR"¡haXhRrvjhRn t t dmzk];w;j_zv];gihRx>] t rvjshQjv]a\&hua]l!4j|hRden4] t dejkZ&jkZ4]7l9gegmlRden4p4zvl>w;] t f4zv]!¦
(148) U];jfGrzv]'whRgeg jkZhRj_jvZ4]rvjvd´];n4] t EhQr²Ib.der ha9l>l t hQp4p4zvlRx>de\&hQjvdel!nalRIjkZ4]"©];Zh¥>del!f4zlQ
(149) \l9rvj)p4f4zk]ogede°>f4d t r§hQn t jvZhQjdejvrhQnhRgeu>jvdewhQg4@l!zv\fGg®hQjvdel!nw'l!n>jshQdmnGrjvZ4l9rv] lQ
(150) d t ]hQg´EhQrv];r¦b>la\l9rvj)gmde°>f4d t "XEhQrI\dex>jvf4zk];r)whRn ©] t ];rkw;zvde©] t >uharkjvd ]'n4] t >hRr²IbM7l!z)]hQwsZ f4d t ¦ _gmrkl¡´jkZ4]agmde\qdmj)lR)]hR¤.pGzv];rkrvf4zk]¥!hRzkdihRjvdel9n4rder¥!hQged t 7l!z_\l!rkjgede°>f4d t "O>hRrjX)l "Xp4ZhQrv]lRrrvden4w;]jkZ4];dez¥!];gel>w;dejXu ±Òl!z\ql!zv]_p4zv]'w;derv];geujkZ4];dez}ChRw|Z nEfG\];z|³Iderf4rkfhRgegeugelR"¦
(151) U];j ]h9dm¥9];nohQzv4dejvz|hRzkurk\&hQgmg9pl9rvdejvde¥9]In>f4\]'z¦´¨@s¡'7l9z
(152) h_!de¥9];n"w;];geg>den4rvd t ]£jvZ4] t l!\ hRdenlRrkphRjkdihRg t dmrkw;zv]'jvd hRjkdel!n )]"hRrkrvf4\q]jvZG]7l!gegelRden4"hRp4pGzvlRx>de\&hRjkdel!n 8 8 7. .
(153)
(154) . ZG];zv] )]!];j. ". . . . bÁdmnGw;]. . ±@!9³hQgmrklzv]h t r. 1. 9 8
(155) F. .0/. . /
(156) 9. /
(157) 5 . /
(158) . / 9 9. . / / ' /3
(159) G.0/ / ' 3/ 9 5 9 F 1.
(160) . /
(161) 9 9 1.
(162) . :4 #44' 4
(163) . 43 44' 4 9 5 . /
(164) = F 7 'B? 5 E ? 1 F ?# hRn t . ?+A? 9 6 5 . ?14?
(165) 9 . . .0/ /4 9 E /
(166) E / 9 5 . 4% 4 9
(167) E 4
(168) E 4 9 5 . 1. 9
(169) F. /
(170) 9. . /
(171). . . 1
(172) . 9 F. ¨@jvZ4]];°>fhRjkdml9nlQ
(173) rvj|hRjk]"der!de¥!];nq>ujvZG]rkjvd´];n4] t >hRrgih"¡>)]Z©h¥!] E ?. 5. YZ>f4r¡>>uzv]'p4gihRw;den4jkZhRj];x>p4zk];rvrkdel!n.den«±@#9³;¡>)]9];j . . / #/. . 9. . . . .4 4. . dX¦ ]!¦. % . . 9. . ±79!³. . 1. ? .N ? A? O P N ? : 4 ?. 7. ±7 !³ =. ±7~9 !³ =. . / 9 / 9 1!N#/0/ O P . /
(174) /
(175) 1!N / / O P 5 N / 7% . /"#/ 9 N / 7% . / / 9. . 4
(176) ) 4
(177) 1!N 44 4 O P , . 4 9 4 9 1!N 4404 O P 5 N 4 %7 . :4 #4 9 N 4 7% . 4% 4 9. 1 /
(178) . /
(179) 9. 9 8 F. 1 4
(180) . /
(181) 9. 9 8 F. 1 /
(182) . /
(183) 9 . 4
(184) ) 4
(185) 1!N 44 4 O P ,( . 4 9 4 9 1!N 4 04 O P 5 N#4
(186) 7% 9 F 184
(187) . /
(188) = ¿Gzvl9\0jvZG]jX)lzv]'g®hQjvdel!nGr9dm¥9];n.hR©lR¥!]!¡>)]whRn t ] t f4w;]"jkZ4]7l9gegmlRden4];x>p4zk];rvrkdel!n4r¾7l!z /
(189) hQn t 4
(190) . / 9 / 9
(191) N#/F 7 9 10N / / O P . /
(192) /
(193) 5 9 N / 1 7
(194) / 9 1 .. . / F . 4 9 4 9 1
(195) N 4 F 7 9 8 1 N 4 4 O P . /
(196) 4
(197) 5 = . 4 9 N 4)F1 7 . /
(198) . . . / 9 / 9 10N#/0/ O P . /
(199) /
(200) 1.N#/+0/ O P 5 N#/ 7%. 9. F. ±7~G³. ±7~9!³. ±7~9~!³ âiÙ K âiÜ.
(201) !.
(202)
(203) !" # %$%
(204) &'('*) ,+-./. bÁdmnGw;] /
(205) -5 4
(206) ¡4)]!];jjkZ4]_7l!gegelRden4"];°>fhQjvdel!nM7l!z . /
(207) # 9. dejkZ . # . . . #. #. _l!jkdmw'dmnGojkZhRj"±@~!!³£whQn&©]"zk];zvdejvjk];n«hQr . . #. ±7~Q^E³. . /
(208) # 5G9. . ±7~@!³. . . . #. . 4 9 N / / O P 13. / 9 N 4 4 O P 9 5 N#/F N#4 9 1 N#46F1 7 N#/0/ O P #N / F 1 7 N 4 04 O P. . . /
(209) 1. F. . . # .. 5 . / 9 . 4 9 J 9 9 5 N 4 F1 7 . / 9 / 9 N / F 1 7 . 4 9 4 9 . 9 N / :7 1 . / 9 N 4 7% 9 4. # 9 . 1. . / 9 . 4 9. 5 N /7F 37 5 N 4 F 7. / 9 !/
(210) . )] t ] t fGw;]"jvZ©hRj J 9. 4
(211). 5. 8. 4 9 . . /7 9. . 1 . 7 9 4. N. 9 9. =. 1 N#/ F 1 7 /
(212) 1!N / / O P . /
(213) 9 1 N 4 F1 7 4
(214) ! 1 N 44 4 O P . /
(215) 9. ±7~>!³. 1 N / F1 7 /
(216) ! 1 N / / OP N ( 4 7 9 1 N 461 7 4
(217) ! 1 N 4 4 O P . /
(218) 9 F F. ±7~?!³. 9. ±7~9!³. / 7. 9. F. hQn t jkZ4];zk]|7l!zk] rvde!n . /
(219) 5 rvde!n J _n jvZG]l9jvZ4]'zZhQn t ¡>f4n t ];zjkZ4]"hRrvrkf4\pGjvdel!nqjvZhQj N#4N / ¡>]"Z©h¥!] #. #. . =. 9 . jkZ4];zk]|7l!zk]!¡´jkZ4]"zvl>l9jp4zkl t f4w;jlQIjvZ4]a];°>fhRjkdel!n±7~Q^E³)ZhQrjvZG]"rshQ\]rvde!nhRr J 9 ¦F]w'l!n4w;gef t ]"jvZhQjjkZ4]"rvl9gef4jvdel!n . /
(220) der t ] !nG] t hRr)@l!gegelRr d J 9 ¡>jvZ4]jXlazvl>l!jkrhQzv]lRl!p4p©l!rkdmjk]rvde!n4rhQn t ]jkZ4];zv] 7l!zk]"zv];j|hRden jvZ4]pl9rvdejvde¥!]_zvl>l!j d J 9 ¡9jvZG]jX)lozklEl9jvr)Zh¥!]jkZ4]r|hR\q]rvde!nhQn t jkZ4];uhRzk]n4]'w;];rvr|hRzkdmgeuqn4];EhQjvde¥!] !)]\f4rkjzv];j|hRdenjkZ4]zklEl9j . /
(221) jvZhQjrshRjkder !];r . . . . /
(222) 5 . / 9 1 . /
(223)
(224) ) ) 97 , 9. ZGdmw|Zq];n t r_jvZ4] t dmzk];w;jp4zk];rvrkf4zv]azv]'g®hQx4hRjvdel9np4zklEw'];rvr¦ 8 8 2 ¶>R46 5©¶R¶ @!+´4657º 4 =Rº Q¶Á»R¶4 vº© ; 5 ; =R¶4 R¶ EGD57465@º 4 FTZ4];njvZG]p4zk];rvrkf4zv].¥!hQzvdihRjkdel!n.deraZ4de!Z¯±7hRr7l9z"rvZ4l>w|¤jvfG]qp4zvl94ge];\r_7l9z"];x4hR\qp4ge]³)]\&hu t ] !n4]rkl!\q]dmjk];zshQjvde¥!] pGzvl>w;] t fGzv]jkl"!]'jIjvZ4]hQp4p4zklRxEde\ hRjv]zk];gihRx>] t p4zk];rvrkf4zv]
(225) ¦ F] t ] !©n4]Z4]'zv]h 7jv];z)jvZG]jXl];x>dervjkdmnG"dejv];z|hRjvde¥9]p4zkl>w;] t f4zk];r !©zvrvj£p4zvl9pl9rv] t denG!zshQgegÁhQn t b4hRf4zk];0g ®9 hRn t p4zvl9pl9rv]jX)ll9jvZ4]'zIn4];¯p4zklEw'] t f4zk];r¦)YZ4] !zkrvjIlQ jkZ4]n4];¯p4zkl>w;] t f4zk];r fGrv];rjkZ4] d t ]hRrlQjvZG]&]'xEderkjvden4p4zvl>w;] t f4zv];r 4fGjw;l!n>jvzkl!gerajvZ4] ¥!hRzkdihRjvdel9nlRjkZ4] p4zv]'rvrvfGzv];r±i\ql!n4l9jvl9n4dew;dejXuÁ³hRja]hRw|Z dejk];zshQjvdel!n.hRn t 9dm¥9];rhMrvu>rvjk];\&hQjvdew!f4]'rvr"lQ jkZ4]a¥!l!gef4\q]_7zshQw;jvdel!n.hQrh7f4n4w'jvdel!n.lQIjvZhQj¥!hQzvdihRjkdel!n ¦)YZ4]arv];w'l!n t n4]; pGzvl>w;] t fGzv]admr t ];¥9l!jv] t jvlq\l!zk]9];n4];z|hRgI²Ib«hQn t rv];]'\rp©hRzvjkdew;f4gihRzkgmuq]'gmgrvf4dejk] t 7l9zp4zkl!4ge];\qrdejvZCrvjvzkl!n4qrvZ4l>w|¤>r hQn t 9];n4];z|hRg\&hRjk];zvdihQgmr¦ KLK Ì MÁñN;ØO.
(226) . L
(227) D * 6"
(228) %.
(229) %
(230)
(231) . 9¦
(232) £denjvZhQjpGzvl>w;] t fGzv]!¡)]ohRn>jjvl 9];johq¥!hRzkd®hQjvdel!n . / ? 5 . / ? . / ? 6( ¡hRj]hQw|Z«dejv]'zshRjkdel!n!C´¡ rvf4w|Z.jkZhRj ? ? . . . J. ?. 4 .. . . J. . . . . 9. .. vr de!n J 4 5 rkdm9n J ? = Y
(233) l t lojkZ4der¡4)] !zvrkj!de¥!]_7l9f4z)pl9rvdejvde¥!]phQzshQ\];jk];zvrZ4dew|Zdegeg´©]fGrv] t ig hQjv];zl9n . . . .
(234) 9 S 9 9 9. =.
(235). ¨Xn&jkZhRjhQp4p4zklEhRw|Z ¡GjvZ4]rkuErkjv];\ ±@?9³Iderzv]'p4gihRw;] t hRj]hQwsZ dejv]'zshRjkdel!n qC >u . . / #/ / . . " ' . . 4 4 4. 3 4' . ? . ?. 4 . . / / /. '. . 4 #4 4. 4 . : 4' . 5. 9. .
(236)
(237) . 5. 9. .
(238) . 0 0.
(239) . hRn t )]l9p4j)7l9zjvZ4]_7l9gmgelRden4"hRpGp4zvlRx>de\&hQjvdel!nalRjvZ4]"pGzv];rkrvf4zk]oden>jv];9zshQg 0.
(240) . . .
(241) . u f4rkdmnGojkZ4]7l9gmgelRden4n4l9jshRjkdel!n4r. . ./. . 4. .
(242) . . . / 4 . .. . . ./ 9. . ./ 9. =. ±7~ !³ ±i^> !³. 5 . / 4 9. . . ? 9. . ±i^©³ 5 9 4 5 7 9 9 =:=%= 9 C 1 7 9 ]hRzv]_gelEl9¤>dmnG@l!z t ]'jv];zk\den4den4"hDI6¥!hQzvdihRjkdel!n . / ? 4 rkf4w|ZjkZhRj¡4h7jk];zIjvZG]w;l9\p4f4j|hRjkdml9nolQ jvZ4]¾7l!gegelRden4 ];n4];zk!u ];°>fhRgedejvde];r ? ? .0/ / ' 5/ 4 5 . / / ' :/ 9
(243) 4 9 ±i^>!³ ? ? 9 . 4:#44' 4 4 5 . :4 #44 ' 4 1
(244) 4 9 . ]"9];jhp4zv];rkrvf4zk]o¥!hQzvdihRjkdel!n. J ? 4 . . Z4dew|Z rshRjkder !];r. hRn t jvZG]"p4zvl>w;]'rvrdegeg´rvjkl!p.hRrrkl>l!n.hRr. . J . ?. 4 .. ?. . J. . .. ±i^>~!³ 9. i± ^9^E³ Z4];zv] S derhap©l!rkdmjkde¥!]phRz|hR\q];jv];z9de¥!];nqdmn ,9)97 ) ¡Q7l!zZGdmw|Z )]w'l!n4rkd t ];zjkZ4]ohRpGp4zvlRx>de\&hQjv]];°>f4degede4zvdef4\0rkjshQjv] jvl©]ohRjkjshRden4] t ¦ ¨Xn4dejvdihRgegeuE¡Q]¤>n4lR jvZ4]_7l9gmgelRden4°>fhRn>jkdmjkde];r . J. . ?. 4 . T. ? 4. . S. 9. . . 9 9 9 9 9 9 E 9 9 5 * 9 , 9. Z4dewsZ¢w;l!zkzv];rkpl9n t jkl.jvZ4] p4Z>u>rvdewhQg¥!hQzvdihRGgm]'r"lRjvZ4]qjXlp4ZhQrv];rw;l9\p4fGjv] t denjkZ4]pGzv] t dew;jkdel!nrkjv];pFhQjojkdm\q] Eu rkl!ge¥>dmnGjvZ4]arvu>rvjk];\ lR ?];°>fhQjvdel!n4r_dejvZ4l9f4jjshQ¤Eden4qdenEjklhRw;w'l!f4n>jjkZ4]ajv];zk\rzk];gihRjk] t jkljkZ4]"p4zk];rvrkf4zv] zv1];gi4hR x4hQjvdel!nqdmn jkZ4]zvde!Z>jZhQn t rkd t ];r¦£YZ4]w;l!\qp4f4jshQjvdel!nqder t l9n4]den&]hRw|Z dmn>jk];zvnhQg w;]'gmg©@l!zZ4dew|Z ]Zh¥9] . / 9 9 . 4 9
(245) 9 9 . 9 . T S 9 Z4];zv]
(246) Qh n t S hQzv]rvl9\]9de¥!];nqphRz|hR\]'jv];zkrdmn ,9)97 ) ©];gelRFZ4dew|Z&zk];gihRx4hRjkdel!ndern4l9jp©];z 7l!zk\] t ¦ . "!$#% J. . ±i^ @!³ âiÙ K âiÜ.
(247) ~.
(248)
(249) !" # %$%
(250) &'('*) ,+-./. F]¤EnGlRjvZ©hRjjvZ4])@l!gegelRdmnGw;l!n4rk];zv¥!hQjvde¥!]¥!hQzvdihRGgm]'r . hQn t . @l!z 5 * 9 ,4¡9zv];\ hRden"w;l9n4rvj|hRn>j t f4zvden4jkZ4]zv];gihQxÁhQjvdel!nqp4zvl>w;]'rvr¦-F ]jvZG];zv]|@l!zv] t ] t f4w']"den&p©hRzvjkdew;f4gihRz)jvZhQjjvZ4]¥!];gel>w;dejvde];rhQgmrklozk];\&hQdenw;l!n>jshQn>j¦. jjvZ4]"¥9];zvu!zvrkjden4dejvdihQgmdhQjvdel!n ±9C 587 ³;¡>)] t ] !n4]"ha¥!hRzkd®hQjvdel!n . / >u . . / . 5 9. . ! #%. Z4];zv] 9
(251) ,9)97 ) ¦ ¿4l9z§h!de¥!]'ndejv];z|hRjkdml9n`C´¡>)]jvZ>f4r¤>n4lRTZ4lR¯w;l!\qp4f4jvden4jvZ4]p4zk];rvrkf4zv];r / ? 4 ¡ 4 ? 4 hRn t rh\&hQjvjk];zlROhRw;j¡97zvl9\ ±i^>!³'¡>]whQn.w;l!\qp4f4jk]jvZG]den>jv]'zvnhQg ];n4]'zv!uM7l!z]hRw|Z p4ZhRrk] . . . E ? 4 . E ? 4. hRn t jvZG] t ];n4rkdejvde];rhRzk]"!de¥9];n>u. /. 4. . . / ? 4 5M.0/ /4 9 T . / ? 4 9 ? 4 4 M 5 . :4 #4 9 T 7> . / ? 4
(252) 9 . . . 5 . / /' / ? 4 T . /#/ 9 F7 /# 9 5 . 4 4 ' 4 ? 4 T .04 49 9 F7 (4# 9. . ±i^ >!³. . / 9 9 . 4 9
(253) 9. . . . ? 4 . @zvl!\ ±Ò^E!³'¦ ±i^ ?!³ ±i^>!³. dmjkZ . / ? 4 5 . / ? 1 . / ? 4 = ¿4zkl!\jvZ4l9rv]°>fhRn>jvdejkdm]'r¡>)]whRn den t ];] t w;l!\qp4f4jv]_jvZ4]w;l!zkzv];rkpl9n t den4p4zk];rvrkf4zv];r¦ ¨@±i^9^E³der_rshRjkder !] t ¡´]rvjvl9p«jkZ4]azv];gihRx4hQjvdel!n p4zklEw'];rvr@l!zjkZhRj_w;];gegIhRn t ]"jkZ>f4rZh¥!]"jklw;l9zvzk];w;j±Òf4p t hRjv]³jkZ4] 7l!gegelRden4"w;l9n4rv];zk¥!hRjkdm¥9]¥!hRzvdihQ4ge];r . / ¡ . / /' / hRn t . 4:#44' 4 . . . . . . . . . / ? 4 9 . /"#/' / ? 4 9 . 34 44 ' 4 ? 4 9. .0/ 5 . /"#/' / 5 . 34 44 ' 4 5. ±i^!³. hRn t )]\ huoden4rkp]'w;jo±Òd IhRn>u4³)jvZ4]n4]'xEj_w;];gegX¦I_jvZ4];zkderv]!¡©jX)loden4rkjshRnGw;];r\ huol>w;w'f4z ±7h9³ J ? 4 %J ? ? IdX¦ ]!¦)jvZ4]p4zv];rkrvf4zk]¥!hRzkd®hQjvdel!nGr§hQzv]"lQ l9p4p©l!rvdejk]"rvde!n¦¨Xn jkZhRj_whRrk]!¡©] t ] !n4]han4]; 9f4];rkr¥!hRgef4]¾7l!z . / 4 Eurk];jvjkden4 #± @9 !³ . / ? 4 5 . / ? 4 T 9 ZG];zv] derhazv]hRg´phQzshR\q];jv]'z!zv]hRjv]'zjvZ©hRn!? ¡4hQn t ]"j|hR¤9]jkZ4]rvj|hRn t hQz t ¥!hQgef4]G/¦ F]jkZ4];n zv]'rvjshQzvj"hRgeg jkZ4]ap4zvl>w;];rkr7zkl!\jvZhQjn4]; !f4]'rvr¥!hRgef4] . / 4 ¡©dX¦ ]9¦)]"zv]'w;l!\qp4f4jv]hRgegjvZ4]a°>fhRn>jvdejkdm]'r!de¥9];n Eu±Ò^³'¡ ±Ò^E9³;¡´±i ^ ?!³hQn t ±Ò^E!³'¡97zvl9\0Z4dew|Z ]\&hu t ] t f4w;]ajvZ4]n4]; p4zk];rvrkf4zv]a¥!hRgef4];rhQn t zv];jk];rvj_jvZ4]'\«¦ ±i©³ J ? 4 %J ? dO¦ ]!¦jkZ4]p4zv]'rvrvfGzv]a¥!hRzvdihQjvdel!n4r)Zh¥9]jkZ4]rshQ\]rkde!n ¦¨Xn jvZ©hRjwhQrv]!¡G] !zkrvjw|Z4]'ws¤ d . . . . . . .
(254). . .
(255). . . . . . . . J. ? . 4 .. ?. . J. . .. 9. d jkZhRjjk];rvj"derjvzkf4]!¡´)]!lqjvl jvZG]on4]'xEjdmjk];zshQjvdel!n¡l9jv? Z4]'zvderv]!¡)]ozk] t l.jkZ4]odejk];zshQjvdel!n>u t ] !nGdmnG&hqn4]; 9f4];rkr¥!hRgef4]¾7l!z)jvZG]"¥!l9gmfG\dewI@zshRw'jvdel!n ¥!hRzkdihRjvdel9n . / 4 >urv]'jvjvden4 #± @G³ . / ? 4 56 . / ? 4 T = YZhRjp4zkl>w;];rvr9fhRz|hRn>jvde];rh\l9n4l!jkl!n4]_¥!hRzvdihQjvdel!nlQ
(256) jvZG]"p4zv]'rvrvfGzv]af4n>jvdeg´jvZ4]];°>f4degede4zvdef4\-rkjshRjk]"derzv]hQw|Z4] t ¦ l!jk]"jvZ©hRjjvZGdmrpGzvl>w;] t fGzv] t lnGl!jf4rk]hQn>u];x>p4gedew;dejI@l!zv\ lRIjvZ4]"²Ib.hQn t rklder¥!hRged t 7l!zzk]hRg\&hRjk];zvdihQgmr¦ . . . KLK Ì MÁñN;ØO. . . .
(257).
(258) '^. L
(259) D * 6"
(260) %.
(261) %
(262)
(263) . G¦
(264) q¨Xn¯jvZhQjp4zvl>w;] t f4zv]9¡].hQgmrkl«jkzvu¢jvl t ] !n4]h.¥!hQzvdihRjkdml9n!f4]'rvr . / ? 4 ¡)hRj]hQw|Z dejk];zshQjvdel!n C´¡ ];x>w;];p4j_jvZhQjjkZ4]jkl!jshQg´];n4];zk!uw;l9n4rv]'zv¥!hRjkde¥!]¥!hRzkd®hQ4ge];rhQzv]w'l!\pGf4jv] t 7zvl9\-jvZ4]¾7l!gegelRden4"hRp4p4zklRx>dm\ hRjkdml9n"lR jkZ4] p4zv];rkrvf4zk]denEjk];!z|hRg 0 ?. 9 1 4 #± @9!³ " .0/ . / ? 4 = F Z4];zv]jkZhRj)w|Z4l!dew;]der)\l!jkde¥!hRjv] t >uojkZ4]OhQw;j)jvZhQjI]hRzk]gel>l!¤>den4_7l!zh ? 4 Z4dew|ZdmrhRr£w;gel!rv]hRr)pl9rvrkdmGgm]hQr jvZ4] kjvzkf4] "zv]'g®hQx>] t p4zv];rkrvf4zk]
(265) ¦¨XjderjvZG];zv]|@l!zv]9¡den rvl9\]_rv];n4rk]!¡´ha¥!hRzkd®hQn>jI¥!];zkrvdel!nClR
(266) jkZ4] t dezv];w'jw;l9\p4f4j|hRjkdml9n p4zvl>w;] t f4zv]a!de¥!]'n&denqjvZ4]p4zk];¥>dml9f4rrk];w;jkdml9n ¦ F]rvf4p4p©l!rk]jvZhQjjkZhRjhQp4p4zklRxEde\ hRjv] t ];°>f4degede4zvdef4\rkjshQjv]derIzv]hQw|Z4] t hRrIrkl>l!n&hQrIjvZG]7l9gmgelRden4_zv];gihRjkde¥!]p4zk];rvrkf4zv] ¥!hRzvdihQjvdel!n ? ? ? 4 5 9 4 #± @9~!³ 9 dmrrkf>¬w;de];n>jvgeuqrv\&hQgegO¦
(267) ´];j_f4rjvZ4]'n !zvrkj!de¥!]jkZ4]_7l!gegelRden4n4l!n n4];>hRjkdm¥9]phRz|hR\]'jv];zkr .
(268) . . . . . . . .
(269) . . . . . . . . . .
(270) 9 S 9 9 9. 9 S 9.
(271). Z4];zv]
(272) ,9 9 7 ) hRn t S
(273) ,9 9 7 ) hRzv]af4rk] t hQrdmnCjvZ4]ap4zv]'¥Edel9f4rp4zvl>w;] t f4zv].±@yzvl>w;] t f4zv]³den±Ò^ @9³;¡ 9
(274) ,9)97 ) der hRgervl f4rk] t Z4]'zv]jkl t ] !n4]qjvZ4]den4dejkd®hQg¥!l!gef4\qde°EfG]@zshRw'jvdel!n¥!hQzvdihRjkdml9n«hRr9dm¥9];n>u.den ±Ò^ >9³;¡ dmr"hQgmrkl f4rv] t jvl zv] t ] !n4]!¡97l9z h9dm¥9];n"dejv]'zshRjkdel!n ¡Rh)n4];¢¥!hRzkd®hQjvdel!n_!f4]'rvr . / ? 4 d ÁjkZ4])l!n4]Iden4dejkd®hQgegmu9de¥!];n"dern4l!jrshRjkderXOhQw;jvl9zvu"hRn t S
(275) ,9)97 ) derf4rv] t hQr
(276) h_jvZGzv];rkZ4l!g t 7l!zjvZ4])zv];gihQjvde¥!])p4zv]'rvrvfGzv]¥!hQzvdihRjkdel!n±#@9~!³;¡'7l9z t ] !n4den4_jvZ4] !nhQg4hRp4p4zklRx>dm\ hRjk] t ];°>f4degmde4zkdef4\0p4zk];rvrkf4zv]alR
(277) ¦ jjvZ4]"¥9];zvu !zvrkjdejv]'zshRjkdel!n ¡>)]rvjshQzvjdejvZ jkZ4]_7l!gegelRden4dmnGdmjkdihRged hRjkdml9n
(278). . / . . . . . 5 . / 9 9 5-. . 9.
(279). . . 9. . / 5 9 . / 9 9 . 4 9
(280) 9 ! #% 9 5 R 9. . ±#@Q^E³. Z4];zv] R derhrvdex>jvZ n4l9n&nG];EhQjvde¥!]phQzshR\q];jv]'z§hQzv4dejvz|hRzkdmgeugihRzk!]!¦ ¿4l9zha!de¥!];nqdejv];z|hRjvdel9n C´¡±9C 7 ³;¡>)] !©zvrvj_w;l!\qp4f4jk]jvZG]"denEjk];zvn©hRg´];n4]'zv!de];r¾7l!z]hRw|Z p4ZhRrk] . . /. 5 E / 9. . E ? . . E ?. 4. . 5 E 4 9 1 . hRn t hRgerklojkZ4]"w;l9zvzv]'rvp©l!n t den4 t ];n4rkdejvde];r . . . 9. 1. 9. 1. F F. . ? ?. . / ? . / 9 9 .0/ /4 9 ? . / . / 9 / / 9 9 . . . / ? 5M.0/ /4 9 T . / ? ? 4 M 5 . :4 #4 9 T . 4 ? . . ±#@@!³. ±#@>!³. 7zvl9\$Z4dew|Z)]\&hu t ] t fGw;]ojkZ4]p4zv]'rvrvfGzv]a¥!hRgef4];rlQ / ? hQn t 4 ? ¦ F]jkZ4];n t ] !©n4]"jvZG]7l!gegelRden4°>fhRn>jvdejkdm]'r . . hRn t )] t ljvZ4]_7l9gmgelRden4"jk];rvjkr. . . ? 5 J ? T 9 9
Documents relatifs
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
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