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Approximation des Phases Aléatoires Self-Consistante dans le Modèle de Hubbard

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(1)Approximation des Phases Aléatoires Self-Consistante dans le Modèle de Hubbard Steffen Schäfer. To cite this version: Steffen Schäfer. Approximation des Phases Aléatoires Self-Consistante dans le Modèle de Hubbard. Physique mathématique [math-ph]. Université Joseph-Fourier - Grenoble I, 1998. Français. �tel00002990�. HAL Id: tel-00002990 https://tel.archives-ouvertes.fr/tel-00002990 Submitted on 12 Jun 2003. HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers.. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés..

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(9)    . ê(ÊFƴʋÈÞÝMèüÊFÆ´ÊFÒÕùËï Ðûèóè  ÷IÒÕùÈËÅûÙÉßÉÝOùËèéÅ_Ò    ÖûÅ ÈÚƴϪôéèóïÆ´ÊÑhÊFò ҈ʋò ÈÚÏDô ‡Fÿi Ô G E BÕ^ KfHJG g ezK G E N e C G™ÿ¬ÿ¬ÿ’ÿ¬ÿ’ÿ¬ÿ¬ÿ’ÿ¬ÿ’ÿ¤ÿ¬ÿ’ÿ¬ÿ¬ÿ’ÿ¬ÿ’ÿ¬ÿ¬ÿ’ÿ¤ÿ¬ÿ’ÿ¬ÿ’ÿ¬ÿ¬ÿ’ÿ | ‡¦ÿiOÿi µ ` H · G B Lde c e g eiL G#E w N K GIE LJez¶ ` G ÿ¤ÿ¬ÿ’ÿ¬ÿ¬ÿ’ÿ¬ÿ’ÿ¬ÿ¬ÿ’ÿ¤ÿ¬ÿ’ÿ¬ÿ’ÿ¬ÿ¬ÿ’ÿ ‚ ‡Fÿ ‡ Ô G BDCFGIE HJGKML N Lde ^ KDH jDG g¹N w G E ·AN Kfez¶ ` G8¶ `ªN KMLdei¶ ` Gÿ’ÿ¬ÿ’ÿ¬ÿ¬ÿ’ÿ¤ÿ¬ÿ’ÿ¬ÿ’ÿ¬ÿ¬ÿ’ÿ € ‡¦ÿ ‡Fÿi Ô G BDCFGE HJGIKML N LJe ^ K+jDG µ · ã C^ jDezK  G C ÿ’ÿ¬ÿ¬ÿ’ÿ¬ÿ’ÿ¬ÿ¬ÿ’ÿ¤ÿ¬ÿ’ÿ¬ÿ’ÿ¬ÿ¬ÿ’ÿ € ‡¦ÿ ‡Fÿ ‡ Ô G BDCFGE HJGIKML N LJe ^ K+jDG~GIezHJGIK c G C ÿ’ÿ¬ÿ¬ÿ’ÿ¬ÿ’ÿ¬ÿ¬ÿ’ÿ¤ÿ¬ÿ’ÿ¬ÿ’ÿ¬ÿ¬ÿ’ÿn † ‡¦ÿ ‡Fÿ Ô G BDCFGE HJGIKML N LJe ^ K+jDG á e CJNO· ÿ’ÿ¤ÿ¬ÿ’ÿ¬ÿ¬ÿ’ÿ¬ÿ’ÿ¬ÿ¬ÿ’ÿ¤ÿ¬ÿ’ÿ¬ÿ’ÿ¬ÿ¬ÿ’ÿna ‡Fÿ  ^ K · LJe ^ KDHbjfG  C GIGKnÿ’ÿ¬ÿ’ÿ¬ÿ¬ÿ’ÿ¬ÿ’ÿ¤ÿ¬ÿ’ÿ¬ÿ¬ÿ’ÿ¬ÿ’ÿ¬ÿ¬ÿ’ÿ¤ÿ¬ÿ’ÿ¬ÿ’ÿ¬ÿ¬ÿ’ÿnˇ ‡¦ÿ ÿi Ì CJ^aBfC e G¸E L GIE H N K NOg"! LJez¶ ` GH ÿ¬ÿ’ÿ¤ÿ¬ÿ’ÿ¬ÿ¬ÿ’ÿ¬ÿ’ÿ¬ÿ¬ÿ’ÿ¤ÿ¬ÿ’ÿ¬ÿ’ÿ¬ÿ¬ÿ’ÿnAƒ ‡¦ÿ ÿ ‡ Ô G g¹N Lde ^ KDH jDG# CdN wyG C H%$&# Cu^ KDe  ÿ’ÿ¬ÿ¬ÿ’ÿ¬ÿ’ÿ¬ÿ¬ÿ’ÿ¤ÿ¬ÿ’ÿ¬ÿ’ÿ¬ÿ¬ÿ’ÿn(' ‡¦ÿ ÿ âÉGw B G E CJN L `DC G)ªKDezG­ÿ¬ÿ¬ÿ’ÿ¬ÿ’ÿ¤ÿ¬ÿ’ÿ¬ÿ¬ÿ’ÿ¬ÿ’ÿ¬ÿ¬ÿ’ÿ¤ÿ¬ÿ’ÿ¬ÿ’ÿ¬ÿ¬ÿ’ÿn‚ * Î,ÏÍÆ=ÊMò ùËØÉÅ»ÙÉÊÙÓÊôöõ,+-»ßÓÏfùËèüÅ_ÒÙÓÊÄ/.ÓïÅ_Ò 0 ÿi 1ÓGIH GIE ¶ `ªN Lde ^ KDHxj ` w ^a` ‰aGIw"GIKML~G¸L g º32,¶ `ªN Lde ^ K+jfG á ! H ^ K ÿ¤ÿ¬ÿ’ÿ¬ÿ’ÿ¬ÿ¬ÿ’ÿU‡a‡ ÿ ‡ 1ÓG BDCu^aBªNaN LdG `DC N'ä ` KDG BªNOC LJe ·I`Dg G ÿ’ÿ¤ÿ¬ÿ’ÿ¬ÿ¬ÿ’ÿ¬ÿ’ÿ¬ÿ¬ÿ’ÿ¤ÿ¬ÿ’ÿ¬ÿ’ÿ¬ÿ¬ÿ’ÿU‡ | ÿ ‡Fÿi 1

(10) º NÞBDBDCJ^ ½¦ezw N LJe ^ K4 NOC L C GIG5$ ª^F·76 ÿ’ÿ¬ÿ¬ÿ’ÿ¬ÿ’ÿ¬ÿ¬ÿ’ÿ¤ÿ¬ÿ’ÿ¬ÿ’ÿ¬ÿ¬ÿ’ÿU‡ ÿ ‡Fÿ ‡ 1 N HJG g98 $ GIE KDG C: ezG8G½ NÞ· LdG´ÿ’ÿ¬ÿ’ÿ¤ÿ¬ÿ’ÿ¬ÿ¬ÿ’ÿ¬ÿ’ÿ¬ÿ¬ÿ’ÿ¤ÿ¬ÿ’ÿ¬ÿ’ÿ¬ÿ¬ÿ’ÿU‡O‚ ÿ 1 N Ô Ì<; HJG g"8 $ ·^ KDHuezH L N KMLdG ÿ¬ÿ¬ÿ’ÿ¬ÿ’ÿ¤ÿ¬ÿ’ÿ¬ÿ¬ÿ’ÿ¬ÿ’ÿ¬ÿ¬ÿ’ÿ¤ÿ¬ÿ’ÿ¬ÿ’ÿ¬ÿ¬ÿ’ÿU‡O€ ÿ ÿi Ô Gä ag G8jDG¤H ^ wyw"G BÕ^ Kfj G E CFGE G BªNOCbg º GE KfG C ezGÂÿ’ÿ¬ÿ¬ÿ’ÿ¤ÿ¬ÿ’ÿ¬ÿ’ÿ¬ÿ¬ÿ’ÿ a† ÿ ƒ 1ÓG BDCu^aBªNaN LdG `DCxBªNOC LJe ·I`Dg G=$ L Cu^a` ÿ¬ÿ’ÿ¤ÿ¬ÿ’ÿ¬ÿ¬ÿ’ÿ¬ÿ’ÿ¬ÿ¬ÿ’ÿ¤ÿ¬ÿ’ÿ¬ÿ’ÿ¬ÿ¬ÿ’ÿ  ÿ ƒfÿi > ^ w BªNOCJN ezH ^ KsGKML C G g¹N Ô~Ì?; GIL g¹N Ô Ì<; HuG g"8 $ ·^ KfHJezH L N KMLJG ÿ’ÿ¬ÿ¬ÿ’ÿ ƒ ÿ ƒfÿ ‡ á G E C ei‰ N LJe ^ KÍN ä BªNÞC Lde C j»º ` K BfC ezK · e B G#‰ NOC e N LJe ^ KDKfG g ÿ¤ÿ¬ÿ’ÿ¬ÿ’ÿ¬ÿ¬ÿ’ÿ ‚ ezeie.

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(14) º N KfH N "L !¬jf$G #{GILdãfGÿ¬ÿ’ÿ¬ÿ¬ÿ’ÿ¬ÿ¤ÿ’ÿ¬ÿ’ÿ¬ÿ¬ÿ’ÿ¬ÿ’ÿ¬ÿ¬ÿ¬ÿ¬ÿ¬ÿ’ÿ¬ÿ’ÿ¬ÿ¬ÿ’ÿ¬ÿ’ÿ‚f | ÿ Ô GIE H `Dg L N LJHxjDG g¹N Ldã G E ^aC ezG Ô Ì<; ÿ¤ÿ’ÿ¬ÿ’ÿ¬ÿ¬ÿ’ÿ¬ÿ’ÿ¬ÿ¬ÿ¬ÿ¬ÿ¬ÿ’ÿ¬ÿ’ÿ¬ÿ¬ÿ’ÿ¬ÿ’ÿ‚Oƒ | ÿ ÿi IE Ldã ^ jDG¬K ` w G E C ei¶ ` G™ÿ¬ÿ¤ÿ’ÿ¬ÿ’ÿ¬ÿ¬ÿ’ÿ¬ÿ’ÿ¬ÿ¬ÿ¬ÿ¬ÿ¬ÿ’ÿ¬ÿ’ÿ¬ÿ¬ÿ’ÿ¬ÿ’ÿ‚ | | ÿ ÿ ‡ 1ûGIH~K ^ w cDC GIHxj»º ^F··I`DBªN LJe ^ K ÿ’ÿ¬ÿ¬ÿ’ÿ¬ÿ’ÿ¬ÿ¬ÿ¬ÿ¬ÿ¬ÿ’ÿ¬ÿ’ÿ¬ÿ¬ÿ’ÿ¬ÿ’ÿ‚ | ÿ ÿ 1 N H ` H · G B Lde c e g eiL G E %& (t '*),+ Šÿ¬ÿ’ÿ¬ÿ¬ÿ’ÿ¬ÿ’ÿ¬ÿ¬ÿ¬ÿ¬ÿ¬ÿ’ÿ¬ÿ’ÿ¬ÿ¬ÿ’ÿ¬ÿ’ÿ€f | ÿ ÿ ƒ 1 N H ` H · G B Lde c e g eiL G#E jDG · ã NOC -G %/.10 2t ')3+ Š ÿ’ÿ¬ÿ¬ÿ¬ÿ¬ÿ¬ÿ’ÿ¬ÿ’ÿ¬ÿ¬ÿ’ÿ¬ÿ’ÿ  †  | ÿ ÿ | 1 N H ` H · G B Lde c e g eiL G#E jDG¤H B eiK gi^ K  eíL ` jDeiK NOg %/465 (t '*),+ Š¯ÿ’ÿ¬ÿ’ÿ¬ÿ¬ÿ’ÿ¬ÿ’ÿ  † ƒ | ÿ ÿ ' Ô Gä Og G8jDG¤H ^ w"wyG BÕ^ KDj G E CFGE G BªNOCbg º GIE KDG C: ezGÂÿ¬ÿ¬ÿ¬ÿ¬ÿ’ÿ¬ÿ’ÿ¬ÿ¬ÿ’ÿ¬ÿ’ÿ  † | ÿ ÿ 1 N'g eiw"eíLdG j `·I^a`DBDgzN G 8ü^aC L*ÿ’ÿ¬ÿ¬ÿ’ÿ¬ÿ’ÿ¬ÿ¬ÿ¬ÿ¬ÿ¬ÿ’ÿ¬ÿ’ÿ¬ÿ¬ÿ’ÿ¬ÿ’ÿ aa | ÿ ÿ ‚ > ^ KDH GIE ¶ ` GK · GH B_^a`DCbg G BfCJ^aBªN MN LdG `DC N'ä ` KDG BªNOC Lde ·I`Dg G5ÿ’ÿ¬ÿ¬ÿ’ÿ¬ÿ’ÿ a€ 7 8 Å_ÒÉÝMôóßÉïAèüÅ_Òñï ÊMùyð

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(25) g¹NhBDCFGE HJeijDGK · G j ` }u`fC:! ÿ  K aCdN Kfjw"G CJ· e NO` HJHue#N ä Ô ^Oc G C L ; C ‰FezG ` ¶ ` e

(26) w N gzN ezHuH G E BDCu^ )DLJG C jDG gzN 8üCdNËv i· ãDG `DC jDG H N w N eiH ^ KsG¸LxjDG¬H ^ K+GH BDC eíL B GIKDj N KML g GIH w ^ wyGKMLdH g GH BDgi` HbLdGIKDj ` H jDG · G¸LJLdG8LJãûGä HuGOÿ  G ‰ ^a` j CdN eiH{GIKDH ` eiLdG C GIw"G CJ· ezG C L ^O` H g GH)w"GIw cDC GH)j `/aCu^a`DB G LJã G E ^aC ez¶ ` G jDG g º ì KfHuLdeíL ` L jDGH µ · ezGK · GH þ `D·g¸G E N e C GH B_^a`DC g G `fCxNO··I` Ge g H ! w BªN Ldãfez¶ ` GOÿ 2,K BªNOC Lde ·`Dg ezG C „¦âbãfezG CuC:! # G C $ L CdN KDj¶ ` e N j ` H ^O ` ¿C e C GIE K ^aC w GE wyGKMLxjDG¤wyGHx¶ ` GH Lde ^ KDH g eiK a` eiHuLdei¶ ` GH eiKMLdG C w"eiK NOcDg GHIÿ  GH C GwyG Cu· ezGIw"GIKMLdH ezK ·Igz` GIK‹L  ^aC: G á ` 6 G g H 6 ! GIL~âbã ^ w N H ; g w BÕ^a`fC~g G `DC H ·I^ KDHJGIe g H GIL{jDG#K ^ w cDC G ` HJGIH jDeiH ·` HJHJe ^ KDH)ezKML G E C GIHJH N K‹LJGHI„DGIL á GIL g G 8

(27) ,^ K $&2,e BÕ^O`DC H ^ K(H ^a` LdeiGK"GIL H N ·^ w BªN KfezGOÿ j [e g jDG C w ` Ld㻄ÚK ^ K HuG `Dg GwyGKML BÕ^O`DC H ^ K N w"eíLde GOE „Ëw N ezH NÞ` HJHue  G CJ· eDGK ·^aC G™N ä 2 c G C ã NOC  BÕ^a`fC w+º N ‰ ^ e C j ^ KDK G E g¹NB_^ HJHue c e g eiL GsE jDG ·NOgz·I`Dg G C H `DC g GH ^aC jDeiK N LJG `DC H"jDG g º ì KDHuLJeiL ` L 87`D C  `DN KMLdGKfG g G 6 L CJ^ KDe 6 jfG gzN 2

(28) â    `D C e · ã»ÿ 2

(29) K )DK ` K aCJN KDj wyG CJ· e’N ä w"GIH BªNOC GKMLdHI„

(30) w"GIH N w"eiHˆGILN ä NÞC ezG=$  ^ H GE G ì gzN w ^6O^ „ñ¶ ` e wº ^ KML NOBDB_^aC L GhE L ^a` L · G¤j ^ KML } º N ‰ N ezH c GH ^ ezK B_^a`DCbCFG E NOg ezHJG Cb· G8L CJN ‰ N e g ÿ G. ‰Feie.

(31) ‰Fezeze.  

(32)  

(33).

(34)   0           . á N KDH g GH{jDG C KDe Gä C GH j G E · GKDKDeiGHI„ g G

(35)     ! " Nx}u^a`{G E ` K CÚ^av g G ·ICJ`D· e NOg_BÕ^O`DC gzN ·^ w BDCFGIE ãDGKfHJe ^ K"jDGIH,H ! HuLAGä wyGH j¿º G E g G · L Cu^ KDH 8ü^aC LJGwyGKML ·^aCuCFG E g¸GE H,H `DC,CFGE HuG NO` ÿ*#{ezGK'¶ ` GxL Cu^aB HJezw BDg ezHuLJG BÕ^a`fC ` KDG NOBDBDg e ·N Lde ^ K"jfe C G · LJG NO`(BfCJ^acDg Gä wyG G E g G · L Cu^ KDei¶ ` G#j»º ` KsH ^Og ezjfG CFG E NOg ezHuLJGO„ e gûBDC GKDj gzNyBfg¹NO· G¬j¿º ` Kw ^ j»Gä g G 9GE K G E C ei¶ ` GO„ªLdG g H g GH w ^ j»Gä g GIH jfG ì HJeiK  ^O` jDG ~GIezHJGIK c G C BÕ^a`fCbg GHxH ! H LAGIä w"GIH~jDG¤H B ezKDHI„ C GIH B G · LJei‰OGwyGKMLA„ ·gzN HJHuez¶ ` GIH ^a` ¶ `ªN KMLJez¶ ` GHIÿ 1ûGyw ^ jûGä g G jDG  `DcDcªNÞC j´H · ã GE w N LJezHJG gzN+BDCu^aBªNaN Lde ^ KGIL g º¼ezKMLdG CdNO· Lde ^ KjDGH G E g G · L CJ^ KfH j N KDH ` KH ^ag eijDG ·C eiHuL NOgzg ezK´N"ä cDN KDjDGIH#j»º GE KDG C eiG G¸E L Cu^ eiLJGHÿ á G E } N ä H N ‰aG C HJe ^ K gzNyBfgz` H HJeiw BDg GO„ g Ghw ^ j»Gä g G#jfG  `DcDcDNOC j­Nˆä ` KDG cªN KDjDG N ‰aG · jfGHxj G E Bfg¹NO· GwyGKMLdH G E g G · L CJ^ KDez¶ ` GIH g eiw"eíL GE H NO` ½ H NO` LJHQGKML C G BDC GwyezG C Hñ‰ ^ ezHuezKDHñj `ˆCFGE HJG NO` ·C ezH L NOgig ezK¿„ BÕ^ HuHGIä jDG ` K jDe NaCJN w"wyG

(36) jDG B ã N HJG{L C GIä H C e · ãfGO„ ·^ KMLJGK N KML

(37) jfGH B ã N HJGIHQw N K G¸E Ldez¶ ` GIH„ËezH ^ag¹N K‹LJGHI„Úw GIE L NOgzg ez¶ ` GIHûGILQH `DBDCJNO·^ Kfj `D· L C e · GHIÿ ì g Hº¼GH L CFG¸E ‰ G E g¸G E BªNOC Lde ·I`Dg e Gä C GwyGKML)ezw BÕ^aC L N KML)j N KfH g¹N¬·^ w BDCFGE ãDGIKDHJe ^ K(jDG g¹N L CdN KDHJeíLde ^ K w G¸E L NOg $ ezH ^ag¹N K‹L GK  GKDj CFGE G BªNOC jDGH~ezKMLdG CdNO· Lde ^ KDH G E g G · L CJ^ K $ G E g G · L CJ^ K»ÿ?> GILuLdG$# %&(') # )

(38) &  ) #   

(39) *#+#,¼‡¦„ " NOBDBDNOCdNv LA„ gi^aC Hu¶ ` º ^ K 8éN eiL'‰ NOC ezG C'gzN˜BDC GHuHJe ^ K ^a`gzN LJGw B{G E CJN L `fC GO„,j N KDH BDgz` HuezG `DC H ^ ½ ! jfGHˆjDGIH’w GIE L NO` ½jfGyL CdN KDHueiLJe ^ K»„¿K ^ L N w"wyGKML¬j N KDH g G HuGHu¶ ` e ^ ½ ! jfGsjDG ‰ N $ K N jDe ` w t

(40) -.0/ Š1 ƒ" „Éj ^ KML g¹N w ^ j G E g ezH N Lde ^ K C G · ¶ ` ezG C L ` K­w ^ j»Gä g G'jDG/ `DcDcDNOC j.N ä jDG ` ½ cªN KDjDGIH2 | "óÿ 1 N j G E ·I^a` ‰OG C LJGˆjDG g¹N H `fBDCdNO·I^ KDj `f· Ldeí‰FeiL GsE N ä ã NO` LJG¬LJGw B G E CJN L `DC G ·C eíLdei¶ ` G t436587 O† #¬Š j N KDHhjfGH G E · ã N K‹LJe gigz^ KDH~w `Dg Lde B ã N H GIE H#jDG 1 N # N > `9. „ BªNÞC  ÿ # GIjDK ^aC ! GIL # ÿ ; ÿ  `D gzg G C GK €a‚ ': '*" „ N HuLdeiw `Dg¸G E gzN8C G · ãfG CJ· ãfG8H `DC jDGH{w N L G E C e NO` ½N¬ä ^ ½ ! jDG#jfG ·` ei‰ C G N ‰aG ·~g¹N H ! KMLdã»GIä HJG GIL g º GIE L ` jDG)jDG ·I^ w BÕ^ H GE HûLdG g HÓ¶ ` G 1 N*-<;>= µ C%= > `?.A@ „ N ‰OG ·CB 7 †(D  | „ ^a`0E # NF- > `?/G.0H%;>I „ N ‰OG · J 7 †(D  DDKDJ†LD | ÿ > GHbH `DBDCdNÞ·^ KDj `D· LJG `DC H~w ^ jfG C KfGH H ^ KMLbL ^a` H 8ü^OC w GE H jfG BDg¹N KfH > `9.A- ¶ ` e HJG j G E ·C ei‰aGIKML BªNOCñg G c e N eiHÉj ` w ^ j»Gä g G)jDG  `DcDcDNOC jN ä L CJ^ eiH cDN KDjDGIHM „ *"ó„ G E MNOg GwyGKML ·I^ KDK ` H ^a` H g G8K ^ wUjDGON1

(41)    P N GQ ‚F"óÿ .

(42) ‡.     . 

(43)   . Ó1 G"w ^ jûGä g G"jDG  `DcfcªNOC j­eiKMLdG C ‰FezGKML NO` HJHue{j N KDH gzN jDGIH ·C e B LJe ^ KÍj»º NO` L C GHˆw N L G E C e NO` ½ Nä G E g G · L CJ^ KfH 8ü^aC LJGwyGKML ·I^aCJCFG E g¸GIE H„ ·^ wyw"G g GIH 8ü`Dgzg G C Gä KDGIH ^a`g GIH NOgig e N  GHˆN(ä cªN HuG jDGˆLdG CJC GH CdNOC GHI„ NOBDB G g¸GE H  G C wye ^ KfH 1 ^a`DC jDHf„9GK CJN ezH ^ KSjDG gzN aCJN KDjDG(w N HuHJG(G G · Ldeí‰aGsjDG g G `DC H BÕ^OC LdG `DC HxjDG · ã NÞC G: „ª€F"óÿ 2,K­j G E B eíL jDG(H N HJezw BDg e · eíL G'E HuL CJ`D· L `DC G gig G G¸L w NOg aCFG E g GHˆG ¿^OC LdH™j GIE ‰OG gz^OBDB{GE H j N KDH g GIH L Cu^ ezHxjDG C KDe Gä C GIH#j G E · GIKDKDezGIH„ g¹N"·I^ w BDCFGIE ãDGKDHue ^ KjDG™HuGH BfCJ^aBDC e G¸E L GE H C GIHuLJGˆezK ·I^ w BDg G¸ä LdGOÿ  KDG H ^agi` Lde ^ KG½ NO· LJGK»º G½¦ezHuL N KML¶ ` ºüN­ä ` KfGjDezwyGKDHue ^ K ø † " „{e g g¹N K · G ` K[j G5E )DL GIE K ^aC wyG NO` ½ w G¸E Ldã ^ jDGIH'N ä  ·^OCJB HIÿ á G¬K ^ w cfC G ` ½ 8ü^aC w NÞg ezHuw"GIH ^ KML G¸E L G’E j GIE ‰OG gz^OBDB{GE H#GIL NOBDBDg ez¶ `{GE H NO` w ^ jûGä g G jDG  `DcDcDNOC jÍGILsN ä j¿º NO` L C GIH’H ! HuLAGIä w"GIH™jDG 8 G C wye ^ KDH 8ü^OC LdGIw"GIKML ·I^aCJCFG E g¸GE H„ · ã NO·` K N ‰aG · HuGH B_^ eiK‹LJH 8ü^aC LdH™G¸L HJGIH 8éN e cfg GHuHJGIH „ a" ÿ þ G E N KDw ^ ezKDHI„ NÞ` $ jDG g N ä jfG g¹N Ldã G E ^aC eiG j ` · ã N w B w ^(! GK»„ ` KDG NOBDBfCJ^F· ãDG5N ä  ·^OCJB H ·I^ wyw ` K GIE w"GIK‹L NO·· G B L GE Gw N KD¶ ` G }u` Hu¶ ` ºüN ä BDCFGIE HJGIK‹Lÿ á N KDH · GILuLdG´LJã»Gä HuGSK ^a` H BDCu^aBÕ^ H ^ KDH ` KDGÍK ^a` ‰OG gzg GÍw GIE LJã ^ jDG´¶ ` e¬Hº¼GKMLdGIKDj ·^ wywyG ñGE K G E CdNÞg ezH N Lde ^ K+jDe C G · LJG™jDG g¹N LJã G E ^aC ezG  NOC L C GIG5$  ^F·76+NO` ½ 8ü^ K · Lde ^ KDH#jDG ·^aCuCFG E gzN Lde ^ KDH N ä  ·^aCuB Hÿ > GILuLdGhw GIE LJã ^ jfGO„Fj ^ KML g GH cDN HJGIH ^ KML GIE L G E GIE L NOcDg ezGH)j N KfH g GIH N KDK GE GH ' † ˇ¦„_ „_AƒF"ó„ HJGhHuG C LbjDG g º32

(44) ¶ `ªN Lde ^ K jfG á ! H ^ K ·^ w"wyG B_^ eiK‹L jDGhj G E BªNOC LAÿ 2

(45) K C G¸LdGIK N KML ` KDei¶ ` GwyGKML g GIH ·^ KML C e cf` Lde ^ KDH#eiKDHuL N KML N K GE GH#jDG g º ^aB{G E CdN LJG `DC jDG w N HJHuGO„¿G gzg G’K ^O` H B G C wyGILhj»º ^Oc LdGIKDe C~` KDG G¸½ BDC GHJHue ^ K+G¸½ BDg e · eiLdG B_^a`DCbg G BDCJ^OBªNMN LJG `DC N ä  ·^aCuB Hÿ > G 8ü^aC w NOg ezHJwyG NÍGIE L G E NOBfBDg ei¶ `{G#E GIL GIE LdGIKDj ` eiKDj G E B GKfj N wyw"GIK‹L BªNOC jDe G E C GKMLdH OCJ^a`DB GHI„ H `DC L ^a` LÍGIK B ã ! Huez¶ ` G K `f·g¸G E N e C GOÿ > G g¹N G¸½ BDg ez¶ ` G ¶ ` º¼e g H ^ eiL ·I^ KDK ` H ^a` HjDGH NOBDB G gig¹N $ Lde ^ KDH NÞ` HJHue»jDe xG E C GKMLdGIH ¶ ` G  Ô Ì<; µ G g"8 $ > ^ KDHuezHuL N KMLdG D„ > gz` H LdG C  G N K  eiG g j  ^a` GIK ·^OC G  ¸E Ldã ^ jDG¤jDG g º32

(46) ¶ `DN Lde ^ Ksj ` ^a` ‰OGwyGKML  øˇF„» „û | „û('¦„û F„û‚f„¿€F"óÿ á N KDH g Gxw ^ j»Gä g GbjDG  GezHuGK c G C™N KMLde 8 G CJCu^ w N K G¸E Ldez¶ ` G™N¤ä ` KDG jDeiw"GIKDHJe ^ K ‡ † "_e gDC G BDCu^ $ j ` eíL g GbH B G · L C GyN8ä ` K w N K ^ K'jDG g¹N H ^agi` Lde ^ K G¸½ NO· LdGބ + "!$#&- % Huez"K ' % ÿ ; jfG ` ½yjDeiw"GIKDHJe ^ KDHI„ · G 8ü^OC w NOg eiHJwyGO„¶ ` GbK ^a` H NOBDB G gzg G Cu^ KDH9j ^aCFGIE K N ‰ N K‹)L (+*-,/.  02123

(47) &(')' # & #  t µ > Ô Ì<; Š¸„aGIHuL GK cÕ^ K NÞ··^OC j N ‰OG · jDGH ·ANÞgz·`fg H jDG ^ K‹LJG5$ > NOCJgi^  `ªN K‹LJez¶ ` GÞÿ á G · G 8éN eíLA„ g º NOBDBfg e ·N Lde ^ K NO` w ^ j»Gä g GjDG  `DcfcªNOC jžNÍä ` KDG cªN KDjfG N ‰aG · ezKMLdG CdNO· Lde ^ K CFG E BD`Dg Huei‰OG BªNOCdNv L BªNÞC Lde ·`Dg e Gä C GwyGKML N LJL CJN!MN KMLdGÞÿ 2

(48) K B ã ! HJei¶ ` G"jfGH¤H ^ag ezjDGIH„»jfGH NOBDBDCu^ ½fe,$ w N Lde ^ KDH Huezwye g¹N e C GIH ^ K‹L G¸E L G E ` Lde g eiH GE Gj N KDH g G BªN HJH G E N )ªK jDGj GE j ` e C G g GH BDCu^aBDC e GIE L GE HSN ä ` KDG BªNOC Lde ·`Dg GO„¿GIK ·I^a`DBDgzN KML g G BDCu^aBªNMN LdG `fC N+ä ` K G E g G · L CJ^ K˜jfGyw N KDe Gä C G NOBDBDCu^ ½¦eiw N LJei‰OG NO` ½ 8ü^ K · Lde ^ KDH¬jDG4 C GIGK.N ä L CJ^ ezH ·^aCuB H ¼‡¦a„9‡a‡F„9‡ " ÿ Ì ^a`fC™g GIH BDCu^aBªNaN LdG `DC H’jDG BªN e C GIH jDG 8 G C w"e ^ KDHI„¿G gig G K ^O` H ·^ Kfj ` e CJN „ ·I^ w"wyGˆK ^O` H g Gˆ‰aG CJCu^ KDH BªNOC8gzN H ` eíLdGO„ Nsä ` KH ! H LAGIä w"G j»º GE ¶ `ªN LJe ^ KDHxeiK‹L G E aCJNOg GIH K ^ K $ g eiK G E N e C GIHÿ ; `­BDC GwyezG C™NOc_^aC j»„ñK ^a` H K ^a` H g eiw"eíLdG CJ^ KDH NO` w ^ j»Gä g G"jDG  `DcfcªNOC j¯Nä ` KDGsjDezwyGK $.

(49) HJe ^ K»ÿ þ ^O` H BÕ^O`DCJCu^ KDH N ezKfHJe ·I^ w BDNOC G C K ^ H CFGIE H `Dg L N LJHˆN'ä gzN H ^agi` Lde ^ KsG¸½ NO· LdGބ BDCJ^ ‰aGIK N KML~jDG g º N KDH N L ! jDG #{GILdãfG  † "óÿ ; jfezwyGKDHue ^ K BDgi` H G E g GI‰ GE Gބ ^ K'KDGbjDeiH B_^ HJG BDN H

(50) j»º ` K LdG gªC G B Gä C G NOc $ H ^agi` ÿ á G BDgi` H g¹Nˆ·^ w BDg G¸½¦eiL G8E K ` w G E C ei¶ ` G¬jfGH GE ¶ `ªN LJe ^ KDH µ > Ô~Ì?; NÞ`  wyGKMLdG CdNÞB ezjDGIw"GIKML N ‰OG ·yg¹N jDeiw"GIKDHJe ^ KH BDN Lde NOg GÞÿ ì g HIº N ‰ÕGä C G"j ^ K · ezKDjDeiH B GKDH NOcDg Gˆj»º NO· ¶ `{G E C e C¤` KfGyG½ B G E C ezGK · G GKL CdN ‰ N e gzg¹N K‹L j N KDH gzNˆg ezwyeiLJG ` KfezjDeiw"GIKDHJe ^ KDKDG gzg GÞÿ 1

(51) º¼ezK ·I^ KM‰ GE KDeiGKML jfG · GILJLJGH L CJN L G E  ezGGH L jfG ·I^ w"wyGK · G C'BªNÞCyg G ·AN H ^ ` ä g G ·ANÞCdNO· LAGä C G ¶ `DN KMLdez¶ ` G GHuL g G Bfgz` H’w N Kfe 8 GH LdGބñG¸L ^ `Sä g GH ·I^aCJCFG E gzN Lde ^ KDH¬H ^ KML g GH Bfgz` H BfCFGE HuGKMLdGIHÿ > G=$ B GIKDj N KMLA„ÓK ^ L C G'w GIE LJã ^ jfGyHuGyL CJ^a` ‰aGyGK NO··I^aC j N ‰OG ·yBDgz` HJezG `DC H8LJã G E ^aC Gä wyGH¬ezw BÕ^OC L N K‹LJH„ BªNOC wye g GIHJ¶ ` G g H K ^a` H · eiL ^ KDH · G gz` e jDG 1 ` LJLdeiK  G C ¼‡ÞƒD„¦‡ | " ^O` g¹N8C Gä ag G~jDG~H ^ wywyG B_^ KDj G E CFGIE G BªNOCbg º GE KfG C ezGOÿ 2

(52) K · G+¶ ` e ·I^ K · G C KDG g¹N H ^Ogz` LJe ^ K K ` w G E C ei¶ ` GO„,K ^a` H"K ^O` H C GHuL C GIe  K ^ KDH„,j N KfH · GILJLJG Ldã»GIä HJGO„ N ä g¹N ("* ,  &

(53)  N  )'   ÿ 2

(54) K¯K G E ag e  G N K‹L g GH ·^aCuCFG E g¹N LJe ^ KDH´N ä jDG ` ½ ·I^aCJB Hj N KDH g º ^aB{G E CJN LdG `DC jDG,w N HJHuG

(55) jDG g¹N µ > Ô Ì<; „ · GILuLdG NOBDBDCu^ ½feiw N Lde ^ K 8éNO· e g eíLdG gzN H ^agi` Lde ^ K8K ` w G E C ei¶ ` G BªNOC9CJNOBDB_^aC LxN#ä gzN µ > Ô Ì<; „ÚL ^a` LQGIK MNOC j N KML9HuGH N H B G · LJHQHJG g"8 $ ·I^ KDHuezHuL N KMLdHIÿ þ G BDC GIK N KML BDN H GK ·^ KDHJeij G E CJN Lde ^ K g GIH ·^OCJCFG E g¹N LJe ^ KfH#jDeíLdGH,   N  

(56)  #  N & #é„ · º¼GHuL%$N ä $ jDe C G · G gzg GH~L CdN KfH 8AG E CJN KML ` KDG™eiw Bf`Dg Hue ^ K '! ‡ '9„_K ^a` HhKfG BÕ^O` ‰ ^ KfH a` Gä C G™GIH B{G E C G C8C G BfCJ^ j ` e C G’jfGH B ã GE K ^ w+Gä KfGH L !¦B ez¶ ` GH B_^a`DC{g GIH w ^ j»Gä g GIH ` KDeijDezwyGKfHJe ^ KDKDG g H„aLJG g H ¶ ` G g G ·^ w BÕ^OC LdGIw"GIKML jDG g ez¶ ` eijDG jDG 1 ` LJLdeiK  G C ¶ ` e NOBDBªNOCJNËv L j N KDH g¹N H ^agz` LJe ^ KsG½ NO· LJG’jDG gzNˆ· ã NËv KfG¬j ^aB{GE GÞÿ > G B GIKDj N KML„fw Gv wyG gzN Ô Ì<; C GIK ^aC w NOg ezH GE GxK ^a` H 8ü^a`DC KDeiL ` K · G C L N eiK K ^ w cDC G jDG CFGIE H `Dg $ L N LJH ezKML G E C GIHJH N K‹LJH„ H `fC L ^O` Lxj N KDH gzNˆg eiw"eíLdGxj `·^a`fBDg¹N G 8ü^aC L jDG g¹Nˆ· ã Nv KDG8jDG  `DcDcªNÞC jSN ä w ^ eíLde G E C Gw BDg eiGOÿ á N KDH · GILuLdG g eiw"eíLdGxK ^a` H C GIL CJ^a` ‰ ^ KDHI„9N™ä ` K 8éNO· LdG `fC BDC GIä H„ gzN jDezH L C e cD` LJe ^ K jDGHxezw BD`Dg HJe ^ KDH G¸L g º GIE KDG C: ezG 8ü^ KDj N wyGKML NOg G8jDG gzN H ^agi` Lde ^ KsG¸½ NO· LdGOÿ þ ^a` H

(57) H ^a`Dg e  K ^ KfHQGK ·I^aC G ` KfG 8ü^ ezHI„O¶ ` G · G¸LJLdG LJã»Gä HuG C G BfCFGE HuGKMLdG ` KDG BDC Gwye Gä C G NOBfBDg e ·AN $ Lde ^ K"j»º ` KDG K ^a` ‰aG gig G w G¸E Ldã ^ jDG N¬ä g º ` K"jDGIH w ^ j»Gä g GIH,j»º G E g G · L Cu^ KDH 8ü^aC LJGwyGKML ·^aCuCFG E g¸GE H)¶ ` eÕHuG L CJ^O` ‰aG NO`(· GIKML C G#j»º eiKML G E CGIv L jDG g¹N¤·^ w"w ` K NO` L G#E jDGIH B ã ! HJe · ezGIKDH jDG g¹N w N LJe Gä C G ·^ KDjfGKDH GE G jDG BD` ezH)jDG~K ^ w cDC G ` HuGH N KDK GE GIHÿ µ `DC L ^a` L8N¤ä ` KDG~jDezwyGKDHue ^ K¿„ae g KDG Hº N eíL BªN H)jDG w"G¸LJL C GxGK ·ANO` HuG g GH CFGIE H `Dg L N LJH ^ac LdGIK ` H BDNOC j»º NÞ` L C GH 8ü^aC w NOg eiHJwyGHñH ^a` ‰OGKML wyezG ` ½ N j NOB L GE H„‹w N ezH9jDG LdGH LdG Chg¹N'B G C:8ü^aC w N K · G’GIL gzN 8éN eiH NOc e g eíL GhE jfGˆK ^ L C G NÞBDBDCJ^F· ãDGÞÿ 2 ` G E MNÞC j NÞ` ½ NOBDBDCu^ ½¦eiw N $ Lde ^ KDH eiK ·^aCuBÕ^OCFGE GIH„DHuGH BDCFGE jDe · LJe ^ KDH ·^aCuC GH BÕ^ KDjDGKML BDgi` L ^ v L¬Nˆä ` KH ·_GE K NOC e ^ ñGIE K G E C ez¶ ` GބD¶ ` G g º ^ KsGH B Gä C G C G¸L Cu^a` ‰aG C GK+jDezwyGKDHue ^ KfH BDgz` H G E g GI‰ GIE GHÿ Î õøÅ ÈËÑ_ÏDÒñèéïÏfùËèüÅ_Ò¥ÙÓÊÝaÊMùAùÊùËØ{ÊFî ïÊïÊ  Ϫèúù"ïÊFôéÅ_Ò¥ôüÊ+ð9ôüϪқïAßÉèüÐfϪÒÕ ù  ; `›BDCu^¦· ã N ezK · ã NOB eiL C GO„ K ^a` Hsj ^ KfKDG Cu^ KDH ` KDG cfC GIä ‰OGezKML Cu^ j `f· Lde ^ KNSä gzN Ldã G E ^aC eiGjDG gzN CFG E B_^ KDHuG g ezK G E N e C GhG¸L NÞ` ½ 8ü^ K · Lde ^ KDHxjDG  C GGIK»ÿ.

(58) ƒ.     . 

(59)   . Ó1 G · ã NOB eíL C G GIHuL ·I^ KDH NO·CFG˜E Nä gzN+BDCFGE HuGKML N LJe ^ K­jfG g¹N Ô Ì<; µ G g"8 $ > ^ KDHuezHuL N KMLdGÞÿ þ ^a` H ·^ wywyGK · G CJ^ KDH BªNOC H N j G E C ei‰ N Lde ^ KNSä BªNÞC Lde C jDG g º 2

(60) ¶ `ªN LJe ^ K›jfG á ! H ^ K»ÿ  KDG BDC Gwye Gä C G NOBDBDg e ·N Lde ^ K NO`(BDCu^aBªNMN LdG `fC N™ä ` KDG BªNOC Lde ·I`Dg G~K ^a` H N wGIä KDG CJN N™ä gzN Ldã G E ^aC ezG  NOC L C GIG5$  ^F·76 ÿ 2

(61) KDH ` eíLdGބÕK ^O` Hhj G¸E LdG C w"eiKDG Cu^ KDH g G BDCJ^aBDNMN LJG `DC~BªNOC LJe ·I`Dg G=$ L Cu^a` jfG g¹N µ > Ô Ì<; GIKLdG C wyGH j»º ` KSH ! H LAGä wyG 8 G C w G E j»º GE ¶ `ªN LJe ^ KfH™ezKML G E aCJNOg GIH’K ^ K g eiK G E N e C GIHÿ þ ^O` H™G½ B_^ HuG CJ^ KDH H ^ K g ezGIK N ‰aG · ` K BDC ezK · e B G)‰ NOC e N LJe ^ KDKfG g GIL9jDezH ·` LJG CJ^ KDH g GIH9jDe G E C GIK · GIHQGKML C G g¹N µ > Ô Ì<; G¸L g¹N Ô Ì<; C GIK ^aC w NOg ezH GIE GO„ N eiKDHJe_¶ ` G g º NO··I^aC j N ‰OG ·8g¹N’C Gä Og G#jfGhH ^ wywyG B_^ KDj G E CFGE G BDNOC g º GE KfG C ezG#G¸L g GIH BDCFGIE jDe · Lde ^ KDH B_^a`DCbg G BfCJ^aBªN MN LdG `DC N'ä ` KDG BªNOC Lde ·I`Dg GÞÿ ; ` j G E cD` L9j `™· ã NOB eiL C G)ƒ~K ^a` H BfCFGE HuGKMLdG CJ^ KfH g G,w ^ j»Gä g G,jDG  `DcDcªNOC j»„ËHJGIH BDCu^aBDC e GIE L GE HÉGIL H ^ K CÚ^Ov g G

(62) GK B ã ! HJez¶ ` G{jDGHÉH ^Og ezjfGHÿ þ ^a` H BªN HuHJG CJ^ KDHñGK C GI‰ ` G)¶ ` G g ¶ ` GH ` KDGHÉjDGIHñw GIE LJã ^ jfGH NOBDBDCu^ ½feiw N Ldei‰OGH g GH BDgz` H ` Lde g eiH GE GIH„ N ‰ N KML8j¿º G¸E L ` jDeiG Chg GHhH ` H · G B LJe c e g eíL GE H~jDG · ã NÞC G G¸L8jDG H B eiKGK µ > Ô~Ì?; GIL GK Ô~Ì?; C GK ^aC w NOg eiH GIE GOÿ ; `S· ã NÞB eiL C G | „ñK ^O` H™j ^ KDKDG Cu^ KDH ` KDG cDC GIä ‰OGsezKML Cu^ j `f· Lde ^ K NO` ½Íw ^ j»Gä g GH ` KDeijDezwyGK $ HJe ^ KDKDG g ÿ þ ^a` H BDCFGIE HJGKMLJG CJ^ KDH g G `fC H BªNÞC Lde ·`DgzNOC eíL GIE H’G¸L g GIH BDCu^acDg GIä w"GIHˆH ^O`Dg G¸‰ GIE H gz^aC HJ¶ ` º ^ K LdGIK‹LJG ` KDGxjDGH ·C e B LJe ^ K'j N KfH g G ·AN j C GxjDG g¹N LJã G E ^aC ezGbjDGIH g ez¶ ` eijDGH9jDG  G C wye ÿ2,KfH ` eíLdGO„MK ^a` H jDezH ·` LJG Cu^ KDH gzN H ^agi` Lde ^ K jfG g¹N Ô Ì<; C GK ^aC w NOg eiH GIE G B_^a`DC gzN™· ã Nv KDGhjDG  `DcDcDNOC j»„fGK 8ü^ K · $ Lde ^ K j `sC Gw BDg eiHJH N G#G¸LbjDG gzN’·I^ KDHuL N KMLdG8jDG ·^a`DBfg¹N GÞÿ þ ^a` H ·I^ w BDNOC G CJ^ KDH{HJGIH CFGE H `Dg L N LdHI„ K ` w G E C ei¶ ` GH,GIL N K NOg9! Ldez¶ ` GIH„¿N¤ä g º N KDH N L !bjDG # G¸LdãDG GIL NO` ½ ·NOgz·I`Dg H

(63) jfG ^ K‹LJG5$ > NOCJgi^  `ªN K $ Ldei¶ ` GOÿ 1 N(g ezwyeiLdG¤j `·I^a`DBDgzN G 8ü^aC L8K ^a` H B G C wyGILJL CdN jfG j G E C ei‰aG C jDGH¤G½ BfC GHuHJe ^ KDH N K NOg9! $ Ldei¶ ` GH BÕ^O`DC L ^a` H g GIH G E g¸GIE w"GIK‹LJH¤jDG"K ^ L C G'LJã G E ^OC ezGÞÿ á G Bfgz` HI„ · GILuLdG g eiw"eíLdG™K ^a` H¬j ^ KDKDG CdN ` KDG BDC Gwye Gä C G8ezj GIE G8j ` w G E ·AN KDeiHJwyG8ezw BDg ei¶ ` G#E j N KDH g¹N L CJN KDHJeíLde ^ K ^ LuL:$  `DcDcªNÞC j»ÿ.

(64)   0        . .     . á N KDH · G · ã NOB eiL C Gބ_K ^a` H CFGE H ` w ^ KDH gzN LJã G E ^aC ezG¬jDGH 8ü^ K · Lde ^ KDH~jfG  C GGIKGIK ·^ wywyGK· N KML BªNOC#` KDG cDC G¸ä ‰aG w ^ Ldeí‰ N Lde ^ K BfCJ^ ‰aGIK N KML¤jDG g º NOBfBDCJ^ ½¦ezw N Lde ^ K+jDG g¹NyCFG E BÕ^ KfHJG g eiK G E N e C GÞÿ?2,K $ H ` eíLdGhK ^O` H CdNOBfB G gzg G CJ^ KfH g GIH G E g¸GE wyGKMLdH · GKML CJNO` ½j `48ü^aC w NÞg ezHuw"GxjDGIH 8ü^ K · Lde ^ KDH jDG C GIGK GIL CdN HuHJGIw cDg G CJ^ KfH{¶ ` G g ¶ ` GH BDCJ^OBDC e GIE L GIE H N K NOg"! LJez¶ ` GH,¶ ` e K ^a` H{HuG CJ^ K‹L ` Lde g GIH

(65) j N KDH g GIH · ã N $ B eiL C GH{H ` eí‰ N KMLdHÿ ; g¹N )ªKsjDG · G · ã NOB eíL C GO„fK ^a` H jDeiH ·I` LdG CJ^ KDHbGIKs¶ ` G g ¶ ` GHbw ^ LdH ·^ wyw"GIKML g G 8ü^aC w NOg eiHJwyG j ^ eíL GIv L C G N j NOB L G E B_^a`DC GIv L C G NOBDBfg e ·NOcDg GN ä jDGHˆH ! HuLAGIä w"GIHN ä LdGIw B{G E CdN L `DC G )ªKDezGÞÿ Ì ^a`fC jDGIH’¶ ` GIHuLJe ^ KDH BDgi` H’j GIE L N e gzg¸GE GIH„»K ^O` H C GKM‰ ^(!O^ KDH g G g G · LdG `DC Nä g¹Nsg eiLJL G E CJN L `DC GO„ K ^ L N w"wyGKML NO` ½ CFG E 8 ÿ ‡'¦„ ‡ ¦„ ‡Þ‚f„_‡O€¦„ O† "óÿ \ 6

(66) Í<":7ñ6 @Aq: 6 ˆqAm

(67) 6 > ^ w"wyGKML ` KyH ! H LAGä wyG B ã ! Huez¶ ` G CFG E N  eiL%$ e g N8ä ` KDG B G C L `DCJcªN Lde ^ KyG½FL G E C ezG `DC G Ì ^a`DC,CFG E BÕ^ K $ j C G(N ä · G¸LJLdG¬¶ ` GH Lde ^ K»„ªG¸½ N wyezK ^ KDH ` K+H ! HuLAGä wyG’j G E ·C eiL BªNÞCb` Kã N w"e g L ^ KDezGIK t  t ‡¦ÿiŠ  t  Š !  & Šbÿ  C G BDCFGIE HJGKMLJG g G'H ! H LAGä wyG K ^ K B G C L `DCuc G E G¸L t  Š ` KDG B G C L `DCucªN LJe ^ K˜G¸½FL G E C eiG `DC GOÿ > GILJLJG jDG & C KDe Gä C G BDCJ^ ‰FezGIKML{j¿º ` K · ã N w B G½FL G E C ezG `DC „  t   Š¸„O¶ ` e_j G E B GKDj"j ` LJGw B H,GIL{¶ ` eªGH L ·I^a`DBDg¸G E N'ä g º ^Oc HJG C ‰ NOcDg G =j ` H ! H LAGä wyGO¾ t  !  t  Š t ‡¦ÿ ‡OŠ  Š > ^ w"wyGKML · GILJLJG B G C L `fCJcªN LJe ^ KG½¦L G E C ezG `fC GyHJG'w N KDe 8 GIHuLdG=$ L%$ G gig G’j N KDH g¹N ‰ NOg G `DC w ^(! GKfKDG j»º ` KDG NO` L C G ^ac HJG C ‰ NOcDg GO„ C G BDCFGE HJGIKML GE G BªNOCxg º ^aB{G E CdN LJG `DC   | .

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(70)  t Š H N LJezH 8éN eiL™N ä g º GE ¶ `ªN Lde ^ K+jfG µ · ã C(^  jfezK  G C ¾ t ‡¦ÿ Š e   %  t Š !  &  t Š  " %  t Š þ ^a` H H `DBDB_^ H ^ KDH~jfG Bfgz` H g GH ^aB{G E CdN LJG `DC H  & GIL 3ezKDj G E B GKDj N K‹LJH~j ` LJGw B Hÿ ; )ªK¥jfGK ^a` H"j G E cDNOCJCJN HJHuG C jDG g¹NÍBfCFGE HuGK · GjDG  & j N KDH t ‡Fÿ Š„,K ^a` H BDN HJH ^ KDHÍN´ä gzN C G BDCFGIE HJGKML N Lde ^ KjfG á e CdNO·#BªNOCx` KDG8L CJN KDH 8ü^aC w N Lde ^ K ` KfeiL N e C GÞ¾ %

(71)  t  Š  ! G  %  t  Š  t ‡¦ÿ¼ƒ‹Š   t  Š ! G   G ;  > GILuLdG C G BfCFGE HuGKML N Lde ^ K´K»º¼GH L NO` L C Gy¶ ` G · G gig G'jDG ~GeiHJGIK c G C:B_^a`DC¤g G'H ! H LAGIä w"G"K ^ K B G C $ L `DCuc{GOE ÿ 2

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(73) w ^(! GKfKDGH  !  KDGxH ^ KML BªN H N G · L GE GIH BªNOC,· G¸LJLdGbL CdN KDH $ 8ü^aC w N LJe ^ K»ÿ %  t  Š bH N LJezH 8éN eiL’N'ä ` KDG GIE ¶ `DN Lde ^ Kj ` L !FB G µ · ã C(^ jfezK  G C t ‡¦ÿ | Š e   %  t  Š  !  t  Š   t  Š %

(74)  t  Š  ÿ  µ `DBDB_^ H ^ KDH g¹N B G C L `DCJcDN Lde ^ K NOc HuGKMLdG B_^a`DC #" $ % ÿ(1ûG

(75) H ! HuLAGä wyG{HuGQL CJ^O` ‰aG NOgi^aC H»j N KDH g G 8ü^ Kfj N wyGKML NOg K ^ K B G C L `DCuc GOE „ % & I„û¶ ` e,GH L™eiKDj G E B GKfj N KMLˆj ` LdGIw B H ·NOC GIK g º NOc HJGK · G j»º ` KDG B G C L `DCJcªN Lde ^ K gzNhC G BfCFGE HuGKML N Lde ^ K jDG á e CJNO· GIL · G gzg GbjDG ~GeiHJGIK c G C: H ^ KML eijDGKMLJez¶ ` GHIÿ > GILuLdG ·I^ KDjDeíLde ^ K NO` ½ g ezwyeiLJGHbK ^a` H B G C wyGIL~j»º¼ezKML G E aC G C 8ü^aC w"G gzg GwyGKML g º GE ¶ ÿÕjfG µ · ã C^ jDeiK $  G C t ‡¦ÿ | Š¸¾  )j *  t *ªŠ  t * Š t  Š  ' t   ! $ t ‡¦ÿ3'MŠ Š &   e %  % &  %

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(84) & ÿ ;)(. t ‡¦ÿ €aŠ 1 NCFG E B_^ KDHuG(j ` H ! HuLAGIä w"GބQHJG"w N KDe 8 GIHuL N K‹L™j N KDH g G · ã N K  GIw"GIKML jDG g º ^Oc HJG C ‰ NOcDg G  „ÉGH L NOgz^aC H g ezK G E N e C G BªNOC#CdNOBDB_^aC L NO`· ã N w B  Hº N LuL N ¶ `ªN KML(N ä  ÿ á º ^ `ä g GˆK ^ wnjDG g º NOBDBDCu^ ½¦e9$ w N LJe ^ K jDG g¹N   

(85) &('A )4&  )4 ÿ Ì ^a`DC jDG 8ü^aC LJGH B G C L `fCJcªN LJe ^ KfH„ g¹N8CFG E BÕ^ KDHJG B G ` L)HJG#H N L `fC G C)^a` H `Dc e C j»º NÞ` L C GH B ã GE K ^ $ wGIä KDGH K ^ K g ezK G E N e C GHIÿ?> GH~G GILdH~ezw BDg ei¶ ` GKMLxjDGIH LJG C wyGH~j»º ^aC j C GH BDgz` H G E g GI‰ GIE H#GK  ¶ ` e KDG¤H ^ KML BªN HxezK ·gz` Hbj N KDH · G¸LJLJG¬LJã G E ^aC ezGÞÿ > ^ KDHJeij G E Cu^ KDH¬j»º NÞcÕ^aC j ` KDG B G C L `fCJcªN LJe ^ KHuG CFGE j ` eiH N KMLsNsä ` KDGyezw BD`Dg HJe ^ Kj ^ KDK GE G NO` H ! HuLAGä wyGN ä  !  „ · º¼GH L:$IN ä $ jDe C Gބ  t Š ! ¦t $  Š¸ÿ 1 N CFG E BÕ^ KDHJG t ‡Fÿ €MŠ jDG¸‰FezGKML¾     $    & ! $ e t $  Š  & %   t  Š )   t  Š " %

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(89) º eiKDjDe · G  C GIL yeiKDjDei¶ ` G8¶ ` G gzN 8ü^ K · Lde ^ K jDG C GIGK.GHuL C G¸L NOC j GE Gބ · º GIHuL%$N ä $ jDe C G˜¶ ` º¼e g LJezGKML ·^ w B LJG˜j ` 8éN eíL¶ ` G g¹N CFG E BÕ^ KDHJG˜j ` H ! HuLAGä wyGO„)w"GIH `DCFGE G BDNOC j N KDH g G · ã N K  GwyGKML(jDG     „,GH L(HuG `Dg GwyGKML BfCFGE HuGKMLdG NOBDC GIä H ¶ ` G g¹N¤B G C L `DCJcªN Lde ^ K N eiL GIE L G E NOBfBDg ei¶ `{GE GOÿ 1 N8ü^ K · Lde ^ K jfG  C GGIK t  )  Š)K»º¼GH L 8ü^ K · Lde ^ K ¶ ` G´jDG g¹N jDe G E C GK · G´jfGHLdGw B H  GIL  „ BD` eiHJ¶ ` G g º¼ã N wye g L ^ KDeiGK  & KDGÍj G E B GKDj BDN H G¸½ BDg e · eíLdGwyGKMLbj ` LJGw B Hÿ â ^a` LJG B G C L `DCucªN Lde ^ K  t  Š B G ` L GIv L C G¬j GIE ‰OG gi^aBDB{GIE G™GKH G E C ezG¬j»º¼ezw BD`Dg Hue ^ KfH ft  $  Š„ · G ¶ ` eûK ^a` H B G C wyGIL j»º G E ·IC e C G g¹N CFG E B_^ KDHJG t ‡¦ÿ €aŠ H ^a` H 8ü^aC w"GhjfG ·I^ KM‰ ^agi` Lde ^ K»¾ ( ' $ ! t ‡¦ÿíaˊ      & )j * t  $ *ªŠ  t * Š ;)( µ eûK ^a` Hxj G¸E ‰aG gz^aBDB_^ KDH g G · ã N w BB G C L `DCucªN Lde 8 GIKH G E C ezG8jDG ª^a`DC ezG C „ ( t ‡¦ÿíˇaŠ t  Š ! ' j‡ +  t + ŠfG ;    „  ;)( ^ ` ä g G 8éNO· LdG `DC " † LJezGIK‹L ·I^ w B LdGbjDG g º G¸E L NOcDg ezHuHJGwyGKML N jDe NOcDN Ldei¶ ` G jDG g¹N#B G C L `DCucªN LJe ^ K»„ g¹NCFG E B_^ KDHuG"jfG g º ^ac HuG C ‰ NÞcDg G  HJG Huezw BDg e9)ªGO„ aCÚNOv · G NÞ` Ldã G E ^aC Gä wyG"jDG ·^ K‹‰ ^agz` Lde ^ K»„ÓGIL ^ K ^ac LdeiGKML g¹N 0

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(100) ezKDH LdGeiKS¶ ` G K ^a` H ` Lde g ezHuG Cu^ KDH j GE H ^aC w N ezH BªNOC j G E 8éNO` Lÿ þ ^a` H ^ac HJG C ‰ ^ KfH g º G G¸LhjDG · GILuLdG B G C L `DCucªN Lde ^ K GK C G aNOC j N K‹L g º N eiw N KML N Lde ^ K À „¦¶ ` e K»º¼GH L C ezGK"j»º NO` L C G~¶ ` G g Gxw ^ w"GIKML{w N K GIE Ldei¶ ` G BDNOC ` KDeíL G8E jDG8‰ ^Ogz` wyG 8h„ t ‡¦ÿi'MŠ À ! +9-08 / ' )  Ü ) 8ÿ  K · ã ^ eí½K N L `DC G g9B_^a`DC#g GHhjfG ` ½ ^aB{G E CJN LdG `DC H  GIL  ¶ ` e) a`fC GKML¤j N KDH g¹N 8ü^ K · Lde ^ KjDG  C GGIKyHuGw cfg Gbj ^ K ·¬G¸v L C G g Gbw ^ w"GIK‹LQw N K GIE LJez¶ ` G Æ ÿ1 N8CFG E B_^ KDHJG jDG g º N eiw N K‹L N Lde ^ K™j N KDH g º NOBDBDCu^ ½feiw N Lde ^ K g eiK G E N e C G#HJG ·ANOgi·`Dg G N ‰aG ·¬g º GE ¶ ÿ t ‡¦ÿíaˊ¸„ ( '  t ‡¦ÿi aŠ ;: 7   $ 9: 7  & ! $ 8 j  =<>< 637_t  @Š ? 6BAªt  DŠ CC  ADt  Š „ ;)( ^ ` ä K ^a` H N ‰ ^ KDH~eiKML CJ^ j ` eíL g¹N 8ü^ K · LJe ^ KjDG  C GGIK C GIL NOC j GIE G << 637_t  EŠ ? 6BA t  DŠ CC t ‡¦ÿiA‚MŠ / $ e t  $  Š < & %;F 637 t  Š )6 A t  >Š G %

(101) & C ÿ  K ·^a`DB j»Iº H¤e g Nyä g º GE ¶ ÿ t ‡¦ÿí aŠbw ^ K‹L C G¬¶ ` G · GILJLJG 8ü^ K · Lde ^ KjfG  C GGIKGH LheiK‹LJezwyGwyGKML g e G E NO` # &('L  , 1'>'  # )+)4 ) #   N * J&   # L) K? „ª¶ ` G K ^a` Hhj G E )DKDezHuH ^ KDH ·I^ wyw"G CFG E B_^ KDHuGˆj ` H B eiK NO` HueiLJG 28N ä ` KfG B G C L `DCucªN LJe ^ K N eiHJH N KMLxH `DCxg G8H B ezK NO` HJeíLd&G Mª¾ - )ON N 7% 1A t  )  Š ! $ + - / <<=P ) 7 t  EŠ ? PQA t  Š CC t ‡¦ÿiA€MŠ 8 >#º GIHuL8N¤ä · GILuLdGx¶ `ªN KMLdeíL GxE ¶ ` G K ^a` H ·^ KDH NO·IC G CJ^ KDH ` KDG aCJN KDjDG BªNÞC LdeiGbjDGxK ^ L C GxezKML G E CG¸v L{j N KDH · G¸LJLdG8LJãûGä HuGOÿ . . . . . .

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(113)     . . . þ ^a` H ·I^ wyw"GIK· ^ KfH BDNOC g¹NC G BDCFGE HJGIKML N LJe ^ K g¹NBfgz` H CFG E BªN Kfj ` GO„,¶ ` ebGIHuL · G gzg G jDG µ · ã C(^ $ jDezK  G C ÿ?2 gzg G¤GHuL ·ANOCJNO· L G E C eiH GIE G BªNOC ` KDG’j G E B GKfj N K · G GKLJGw B H#jDGIH G¸E L N LJH„ L N KDjfezH ¶ ` G g GIH ^aB{G E CJN LdG `DC H"K»º¼GK¥j G E B GIKDjDGIK‹L¶ ` GHJe g G BDCJ^OcDg GIä w"G+K»º¼GHuL BªN H"ezKM‰ NOC e N KML BDNOC L CdN KDH g¹N LJe ^ K j N KDH g G8LdGIw B Hÿ ; ` L C GIw"GIK‹L~jDeíLA„ gzN j G E B GIKDj N K · G™GIKLJGw B H~jfGH ^aB{G E CJN LdG `DC H KDG B G ` L G¸v L C G ¶ ` º G½ Bfg e · eiLJGOÿ  K G¸E L N L Bf`DC „ %

(114)  t  Š I„DH N LdezH 8éN eiL’N'ä g º GIE ¶ ÿªjDG µ · ã C(^  jDezK  G C „ t ‡¦ÿ ‡ † Š e   %  t  Š  !  t  Š %  t  Š  „ j ^ KML g º¼ã N wye g L ^ KfezGK B G ` L GIE ‰aGIKML ` G gzg GIw"GIKML¤j G E B GKDj C G j ` LJGw B Hÿ 2,KeiKML CJ^ j ` eiH N KML g º ^aB{G5E $ CdN LJG `DC j»º GIE ‰ ^agz` Lde ^ K+j N KDH g GhLdGIw B H„ t ‡¦ÿ ‡¦ˊ %  t  &Š  ! t  )  & Š %  t  & Š  g º GE ¶ `ªN LJe ^ K jDG µ · ã C^ jDezK  G CyB G ` L GIv L C G+L CdN KfH ·C eiLJG+GIK ` KfG GIE ¶ `DN Lde ^ K5jfe G E C GIKMLdezG gzg G BÕ^a`fC g º ^aB{G E CJN LdG `DCb` KDeíL N e C G t  )  & Š¸¾ t ‡¦ÿ ‡a‡aŠ e   t  )  & Š !  t  Š t  )  & Š  CËNOv · GNsä g¹N(·I^ KDjDeíLde ^ K NO` ½ g ezwy eiLJGH t  & )  & Š !  „»K ^a` H¤L CJ^a` ‰ ^ KDH gzN H ^agi` Lde ^ K 8ü^aC wyG gig G jDG t ‡¦ÿ ‡a‡aŠ„  t ‡¦ÿ ‡ Š t  )  & Š !  $ e ' j,*  t *ªŠ t * )  & Šb„ ¶ ` eûHJG8L CJN KDH 8ü^OC wyG BªNOC eiL G E CdN Lde ^ K(GKH G E C ezG8jD  G8‰ ^ K þ G ` w N KDK»¾ t  )  & Š !  (  t ‡¦ÿ ‡Þƒ‹Š ' t $ eúŠ '  j  '  j  - DKDD ' j   t  Š  t  - Š DDKD  t  Š  . . . . . . . . . . . . . . !". . . . .

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(122) . . .  . . . . . . . 3  ¸G ½ B  $ e ' j   t Š t ‡¦ÿ ‡ 'MŠ 1ûG 8éNÞ· LdG `DC  j N ) KDH g Gj GIE K ^ wyezK  N LJG `DC jfG g¹N HuG ·^ KDjDG g e  KfG BDCJ^ ‰FezGIK‹L jDGH  w N KDe Gä C GIH j»º ^aC j ^ KDKDG C g GH  ¶ ` ebj ^ KfKDGKMLyL ^a` LJGH g¹N w Gv wyG ·I^ KML C e cD` LJe ^ K N ä t )  & Šÿ 1ÓG 8éNÞ· LdG `DC G¸½ B_^ KDGKMLJezG g j N KDH g¹N jDG C KDe Gä C G g e  KfGhGH L#HuG `Dg GwyGKML ` KDG¤K ^ L N Lde ^ K NOcDCFG E ñGIE G B_^a`DCbg G8j GIE ‰OG5$ gz^aBfB GIw"GIK‹LxGIKH G E C ezGOÿ µ e g º¼ã N wye g L ^ KDeiGK KfG¬j G E B GKDj BªN HxG¸½ BDg e · eíLdGIw"GIK‹Lxj ` LJGw B H„ g º GIE ¶ `DN $ Lde ^ K t ‡¦ÿ ‡'MŠ HuG CFGE j ` eiLˆN ä t ‡¦ÿ ‡ aŠ t  )  & Š ! G½ B $ e  t  $  & Š "¬ÿ !. . . . .  >. . =  =! Q

(123) .   &   . . Ì ^a`fC L ^a` L BDCJ^OcDg GIä w"GGK5w G E ·AN Kfez¶ ` G+¶ `DN KMLdez¶ ` Gބ{K ^a` H N ‰ ^ KDH g¹Ng e c G C L GsE jDG C GIKDj C G g GIH GIE L N LdHxezKfj G E B GKDj N KMLdHxj ` LdGw B HxGK g GIH )f½ N KMLyN ä ` KLdGIw B H  & NOCuc eiL CdN e C GO¾ t ‡¦ÿ ‡Þ‚MŠ %

(124)   / %  t  & Š  ; )ªK+jDG ·^ KDHJG C ‰aG C#gzN j G E B GKDj N K · G’GKLdGIw B Hxj»º ` KDG¤‰ NOg G `DC w ^ ! GKDKfG   I„fK ^a` H jDGI‰ ^ KDH L CJN KDH 8ü^OC wyG C Huezw `Dg L N K GE wyGKML g GIH ^aB{G E CJN LdG `DC H HJG gz^ K t ‡¦ÿ ‡Þ€MŠ   t  Š ! ; t  )  & Š  t  )  & Š ÿ 2

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(126) jDG g¹N j G E B GIKDj N K · G{GIK8 LdGw B H    ) ) #  jfG g º ^OB G E CJN LdG `DC  „ · º GIHuL%$N ä $ jDe C G8jDG · G gig G8j N KDH g¹N C G BDCFGIE HJGKML N Lde ^ KjfG µ · ã C(^  jfezK  G C ÿ . . . . .

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(134) GHuL¤eiKDj G=E $ B GIKDj N KMLˆj ` LdGIw B H„ÉGILˆj¿º ` KfG ezKMLJG CdNÞ· Lde ^ K  t Š„ñ¶ ` e B G ` L’j G E B GKfj C G(G½ BDg e · eiLJGwyGKML¬j ` LdGw B HI¾ t t ‡¦ÿ ˊ  t  Š !  & Šbÿ á N KDH · GILuLdG C G BDCFGE HJGIKML N LJe ^ K¶ ` GˆK ^a` H N ‰ ^ KDH8j G E } N ä jDezH ·` L GE G cDC e G¸ä ‰aGwyGKML NÞ` j G E cf` L8jDG · G · ã NOB eíL C Gބ g¹N j G E B GKDj N K · GyGKLdGIw B H¤L C e퉦e NOg Gބ ñGE K G E CFGE G BªNÞC  & „»GH L¬L CdN KfH 8AG E CFGE G'jDGIH G¸E L N LJH NO` ½ ^aB{G E CdN LdG `fC H BªNOCxg¹N L CdN KfH 8ü^aC w N LJe ^ K t ‡¦ÿ¼ƒ‹Š¸„ ; %  t  Š  ! G     %  t  Š  t ‡¦ÿ ‡aŠ   t  Š ! G   ;    G ;   ;   ÿ 1ÓGIH ^OB G E CJN LdG `DC H ^ac{GE eiHJHuGKML’N¤ä g º GE ¶ `ªN LJe ^ Kyj ` w ^a` ‰aGwyGKML{jDG ~GeiHJGIK c G C: „ ·ANOCJNO· L G E C eiH GIE G BªNÞC  „ & t ‡¦ÿ a Š e j j    t  Š !   t  Š )  & "  e     t  Š „ B GIKDj N KML¶ ` G g GIH GIE L N LdH H ` eí‰aGKML ` KfG GE ¶ `ªN LJe ^ K›j ` L !F B G µ · ã C^ jDezK  G Cs^ `¥ä g º eiKMLdG CJNO· LJe ^ K C Gw BDgzNO· G g º ã N w"e g L ^ KDezGIK»¾ t ‡¦ÿ ƒ‹Š e   %

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