• Aucun résultat trouvé

Extended Kantorovich norms : a tool for optimization

N/A
N/A
Protected

Academic year: 2021

Partager "Extended Kantorovich norms : a tool for optimization"

Copied!
28
0
0

Texte intégral

(1)Extended Kantorovich norms : a tool for optimization Kevin Guittet. To cite this version: Kevin Guittet. Extended Kantorovich norms : a tool for optimization. [Research Report] RR-4402, INRIA. 2002. �inria-00072186�. HAL Id: inria-00072186 https://hal.inria.fr/inria-00072186 Submitted on 23 May 2006. 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..

(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. Extended Kantorovich norms : a tool for optimization. Kévin Guittet. N° 4402 Mars 2002. ISSN 0249-6399. ISRN INRIA/RR--4402--FR+ENG. THÈME 4. apport de recherche.

(3)

(4)  

(5)   !"#$&%'()*+-,.-0/ 31 2547698;:3<6>=?=?@A=*B CEDGF+HIJLKNMPOQHRGSUT'VWOYX5Z I-V[XA\]VWOYHOY^_T'V_OQXAZ ` I^Wa]^bV_FHI+^cX5H\GSYI-d]I+^ egf_XihbI-VkjVWVWX l[T5\G\mX5fWV ` IfWI?cnDGIfncnDGIoZmpJAJAqsrkKut3T5f_^riqAqArK \vTiw5I?^. xzy{+|}'~Gi|A€‚ ZƒVWD„OY^ \vTi\mIf?†i‡.IEˆ‰X]cR„^X5ZI-dPV_IZ ` I `Š TiZsVWXAfWX'‹POUcnDZGX5f_H#^†i‡D„OYcnD#^WIIHŒVWXŽmIHLR„cnDHX5f_I  IdPOYGSYIVWDvTiZH#TiZPa*X5VWDGI+f.‘’HƒIVWf_OYc+^”“ ` I+fWOY‹POQZGwˆ‰f_X5H•X5\GVWOYHT5S–H#T5^_^EVWfnTiZv^’\mX5fWV[\Gf_X5GSYIH#^+—E˜™I+ZGIfnTiSšV_DGI-› X5f_I-V_OYc+TiSmfWI?^’R„SœVn^T5fWI™f_I+cT5SQSYI ` †PT5Z ` V_DGI ` OU^WcfWIVWIcTA^’IkOY^EOYZP‹5I+^’VWOYwATiVWI ` †AI?^’\mI+cOYT5SQSYaˆ‰f_X5H‚Tƒc-XAHƒ\„R]V_TiVWOYX5Z„T5S \mX5OYZAV™Xiˆg‹POYI‡—Žž[Z3IŸ#cOQI+ZsVŽT5SQwAX5f_OœV_DGH(OU^VWDGI+Z3OQZsV_fWX ` R„cI ` V_X ^WX5SY‹5IV_DGIƒfWI+SYTiVWI ` SYOYZGI+T5f\Gf_X5wAf_T5HƒHOYZGw \Gf_X5GSYIH †GT5Z ` \mXA^_^WOQGSYITi\„\GSQOUcTiVWOYX5Z„^ET5fWI ` OU^WcR„^_^’I ` — ¡¢s£¥¤W¦L§ }'¨{A€©Š T5ZAV_X5f_X'‹POYcnD#ZGXAfWH †]XA\]VWOYH#TiSšV_f_T5Z„^’\mX5fWV_TiVWOYX5Z–†PZPRGHIf_OUcTiS¥f_ª+^WX5SYR]VWOYX5Z7—. «¬‰­®–¬°¯.±³²´¶µ[·n¸º¹³»¼³»½v´¶¾º¿³Àb»’·n¿s±iÁ Ã]ºĒŶÆÇnÈ?ĒƶÉEÊP»Ì˥ͳ»bÎ9¹³·’ÏÀb»’¼?»bÐ5±iÑ'Ò>·n¹³Àb»-±i»”Ó°µ[·n¸º¾GÔ Õ»”Ö?¸º¹A ×¿³¸ Ø>Ø>»”ؔٸº¹?Ò>¸Ú·? ÛQÒ. 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.

(6) 0    

(7) [#-   z-$ b) -Ž-L / € IVT5f’V_OYcSQI^ OYZAV_ªf_I+^_^’ITiR]dZGXAfWHI?^ ` I Š TiZsV_X5f_X'‹sOUcnDŽª-V_IZ ` R„I+^+†sRGO]^’I+HLGSYIZsV\„SQR„^  Id]OQGSYI+^  {

(8)   sRGISQI?^ŽTiR]V_fWI?^kHªVWf_OsRGI?^ ` ªf_OQ‹'TiZsV ` I\Gf_X5GSYFHI+^ ` IƒVWfnTiZv^’\mX5fWV ` IH#T5^_^WI5—kI+^™f_ª+^WRGSQV_T'Vn^kVWDGª+X5f_OsRGI?^ w5ª+ZGªfnTiRGd ^WX5ZsV*fnTi\G\mISYª+^+†EI-V SYI c+T5^ ` OY^_c-f_I-VzI?^bV ª-VWR ` OQªA—[Z T5SQwAX5f_OœV_DGHIf_T5\GO ` I3I+^’V T5OQZ„^WOOYZsVWf_X ` RGOQV \mX5RGfgf_ª+^WX5R ` fWISYI[\Gf_X5„SQF+HƒI ` I[\Gf_X5w5fnTiHH#T'V_OQXAZLSYOQZ„ª+TiOYf_I[T5^_^’X]c-OYª[TiR#c+TiSUc-RGS ` I+^ Z„X5f_HƒI?^ ` I Š T5ZsVWX5f_X'‹POYcnD ª-V_IZ ` RGI+^I+Z ` OQHIZv^’OYX5Z 5— kO ¥ªf_IZsVn^ ` X5H#T5OQZGI?^ `  Ti\G\GSYOUcT'V_OQXAZ ^WX5ZsVIZv^’RGOQVWIT5vXAf ` ª?^—  § |+{ ¤    {*€ ZGX5f_HI ` I Š T5ZsVWX5f_X'‹POYcnD7†5V_f_T5Z„^’\mX5fWVX5\]V_OQH#T5S>†]f_ª+^WX5SYR]VWOYX5Z ZPRGHªf_O sRGIA—.

(9)  

(10)  

(11)   "!$#%&' ("*) +,-/.021. 3.  7#  g- CEDGIŽX5\GVWOYHT5S¥HTA^W^.V_f_T5Z„^’\mX5fWVE\GfWXAGSYIH D„TA^EvI+IZ76„f_^’Vc-X5Zv^’O ` If_I ` PaztX5ZGwAIkOYZ98: [OYZ D„OY^g‘WtªHXAOQf_I ^WRGfSYTƒV_DGªXAfWOYI ` I+^ ` ªGSUTiOU^I-V ` I+^Ef_IHL„SYT5OY^b“";ºr5r< —>=GI+‡;f_I+^WRGSQV_^E‡If_I%?sZ„X'‡Z RGZsV_OQS @iJPrLT5Z ` V_DGIH#T'hbXAf T ` ‹³T5Z„c-I X5ˆ Š T5ZAV_X5f_X'‹POYcnA D ;98<9†E‡DGXs^’I f_ISUT'dGT'V_OQXAZ Xiˆ™VWD„I3X5f_OQwAOQZvTiSE\Gf_X5GSYIH"T5SQSYX'‡I ` VWX&R„^WI3c-SUT5^_^’OUcT5S H#T'V_DGIH#T'V_OYc+TiSEV_XsXASY^+— t3TiZPa0V_DGIXAfWIVWOUcTiS sRGI?^bV_OQXAZ„^ƒfWI+H#TiOYZ XA\vI+Z–†.„R]V*c-RGf_f_IZsVƒ‡X5f*?]^ƒXiˆ™T wAfWX'‡OYZGw H#T'V_DGIH#T'V_OYc+TiSÌcX5HHLR„ZGOœVbCa BDf_IZGOYIf?† T šTif_ISYSQO9†t c TiZ„Z–†˜ŽT5ZGw5mX„F† Eg‹'TiZv^—Y—QH— G TiSYSQX'‡ŒVWX ` fWI?TiH XiˆT c-SYI+T5Z*XA\]VWOYH#TiS¥VWfnTiZv^’\mX5fWV.V_DGIXAfWaA—žk^TƒGOœ› \Gf_X ` R„c¶VEXiˆVWDGOU^VWD„IX5f_I-V_OYc+TiS¥OYZAV_If_I+^’V+†PZPRGHIf_X5R„^‡X5*f ?]^ÌD„T³‹AI mIIZ ` I‹AXiVWI ` VWX Ti\G\GSYOUcT'V_OQXAZ„^X5ˆ[H#T5^_^VWfnTiZv^’\mX5fWVVWI?cnDGZGO sRGI+^OQZ VWDGII 6„IS ` X5ˆT5\G\GSYOQI ` H#T'V_DGIH#T'V_OYc+^† SYI+T ` OQZGJw B TiHXAZGwA^’VkX5VWDGI+f[VWD„OQZGws*^ GVWX X5f_OQwAOQZ„T5S7f_I+^WRGSQV_^ˆ‰XAf™^WX5HIHƒIVWI+X5f_X5SYX5w5OUcT5SšI sR„TiVWOYX5Z„"^ BK; J < /† ; :<LG[T5Z ` VWD„I =„ X ?M?5I+f’› egSUTiZ„

(12) c ? I sR„TiVWOYX5NZ ; O9<9—jVWDGI+fŽT5\G\GSYOYc+T'V_OQXAZ„^kc+TiZ vIƒˆ‰X5R„Z ` OYNZ ; @< †š‡DGI+fWIc-XASQSUTi\„^WOYZGw ^_TiZ ` › \GOYSQI?^ T5fWI c-XAZ„^’O ` I+fWI ` †[TiZ ` OQZ VWDGI vXPX ? X5ˆLl[T5cnD„I‹ TiZ ` lR„^_cnDGIZ ` X5fWPˆ ; r 39<9†k‡DGIf_I T5\G\GSYOYc+T'VWOYX5Zv^*OYZ \Gf_X5„T5GOYSQOQVbaƒVWDGI+X5f_aƒT5fWI ` OY^_c-Rv^W^WI ` —  Z I+T5cnD*XiˆšVWD„I+^WIk\Gf_X5„SQI+H^+†sHTA^W^ÌVWfnTiZv^’\mX5fWV_TiVWOYX5Z#OU^cSQXs^’I+SQaf_ISUT'V_I ` VWX V_DGIOQZsV_fWOYZ„^WOYc Z„TiVWRGf_I Xiˆ™VWDGI I ARvT'VWOYX5Zv^C — Q[X'‡I‹AIf?†Ì^’XAHI wAIZGI+fWOUc \Gf_X5\mIfWVWOYI+^ƒXiˆ[‘bH#TA^W^VWfnTiZv^’\mX5fWV OYZ ` R„cI ` HI-V_fWOUc^bR“ B>^’XAHIXiˆŽVWDGI+H ‡OYSYSmI3fWI?cT5SQSYI ` OYZVWDGIˆ‰XASQSYX'‡OYZGSw GƒSYI+T ` V_X&VWD„OQTZ ? XiˆT0\mX'‡.I+f’ˆ‰R„S X5\GVWOYHƒVO U+TiVWOYX5ZV_XPX5S9—  Z3\„T5f’V_OYcRGSYT5f+†¥^WD„Ti\mIf_I+c-XAw5ZGOQVWOYX5Z3^WII+H#^VWX vITz^’VWOYHLRGSUT'V_OQZ„Pw 6„I+S ` X5ˆÌTi\G\„SQOUcTiVWOYX5Z BK;<9V† ; ?q <LG¶F— =OYZ„T5SQSYa5†'‡I.^WDGX5R„S ` HIZsV_OQXAZLT[\GfnT5c-VWOUcT5SAT'VWVWI+Hƒ\GVV_XR„^WIgV_DG> I W0T5^_^’I+f_^’VWI+OQZHIVWf_OYcÌOQZV_DGXI 6„IS ` Xiˆg^WIOU^’HOUcOYZs‹AIfn^’OYX5YZ ;ºr  < †v‡D„OYcnD\mX5OYZsV_^[XAR]VkT#H#TihbX5f ` fnT³‡„TA

(13) c ?zXiˆ H#T5^_^V_f_T5Z„^’\mX5fWV_TiVWOYX5Z VWI?cnDGZGO AR„I+[^ Z Vb‡X ^WOQwAZ„TiSU^kRGZ ` I+fc-X5H\„T5fWOU^WX5Z3^WDGX5RGS ` vIZGXAZ]›9Z„IwATiVWOY‹5IƒTiZ ` D„T³‹5ILVWDGI#^_TiHIH#TA^W^+—CEDGIƒHXiV_OQ‹'T'V_OQXAZ XiˆV_DGOU^L‡X5*f ? OU^V_DGIZ VWX cX5Z„^WO ` IfI-dPVWI+Z ` I ` Š TiZsVWXAfWX'‹POUcnD ZGXAfWH#^+†OQZsVWf_X ` R„cI ` OYA Z ;\:9<TiZ ` OQA Z ;\@<OYZ X5f ` I+f.V_XzTiSYSQX'‡;TLV_f_T5Z„^W\vXAf’VW› ^’VbaPSQIŽc-XAHƒ\vTif_OY^WX5Z Xiˆ7Vb‡-X 6„ZGOQVWIHI+TA^’R„fWI?^— lI+HƒX'‹POYZGwVWDGITA^W^WRGH\]VWOYX5Zv^EXiˆ ZGXAZ]›9Z„IwATiVWOY‹POœVba*T5Z ` H#T5^_^[c-XAZ„^’I+fW‹'TiVWOYX5Z–†PV_DGXA^WIZGX5f_H#^Tif_IHLR„cnD HX5f_I  I-d]OYGSYIVWD„T5Z VWDGI Š T5ZsVWX5f_X'‹POYcnD ZGXAfWH•X5fVWDG"I W TA^W^WIfn^bV_IOYZ HƒIVWf_OYc5^— ][X'‡ V_DGILI+Z ` Xiˆ V_DGILOYZsVWf_X ` R„c¶V_OQXAZOY^ ` I+‹5XiV_I ` V_X#VWDGI\Gf_I+^WIZsV_TiVWOYX5Z XiˆVWD„I Š T5ZsVWX5f_X'‹POYcnD*ZGX5f_H‚TiZ ` OQV_^IdPVWIZv^’OYX5Z„^+— 4. 5. _`a_ bYcedgfihjXkmlonTlqperastcujel>ntv w–IV"x0y{z|m}[vIƒT*^WI\„T5f_T5GSQIHIVWf_OYc^’\„TAc-IƒTiZ `{~ x0yY}.V_DGI^’IVkXiˆ6vZGOœV_IHI?T5^WRGfWI?^X5ZJy ^ —W ˆ‰X5SYSYX'‡OQZGw ` I„6 ZGOQVWOYX5Z„^[B ‡DGIf_I%€ ^’V_T5Z ` ^ˆ‰XAf[THI?T5^WRGfWIŽOYZ ~ x+yY}aG¶—  ~ƒ‚ x+y„}ÌOY^EV_DGI^WRG„^W\„T5cIkX5ˆHI+TA^’R„fWI?^X€Y ~ x+y„}Ì^WR„cnD VWD„TiVe€x+y„}†A‡„†. IVnT?AIVWD„I.  ~‰ˆ x0yY}.OU^EVWD„IŽ^WI-V[X5ˆT5SQSšZ„X5Z]› ZGIwsT'V_OQ‹AIkHI+TA^’R„fWI?^.XAZ ~ x0yY}¶† } OU^VWDGIŽV_X5\mX5SYX5w5OUcT5Sš^’RG\„\vXAf’VXiˆ € † NŠ‹MŒ Œ x€qÌ  € ˆ OU^EVWDGI\mXA^WOQVWOY‹5IŽ‹'Tif_OYTiVWOYX5Z*X5ˆF€ †. UO ^EVWD„IZGIwsT'VWOY‹5I™‹'Tif_OYTiVWOYX5Z Xiˆ€ † OU^EVWD„IŽVWXiVnTiSš‹'Tif_OUT'VWOYX5Z Xiˆ€ † N‘$’S“ x+€q}•”–†  €  x0yY}¶— ¢P§ } ¢ š™2›™2›%œ RtC&

(14) 9! žmŸ€   €Ž  € . ~ƒ‚ x0yY}*¡Ÿ,t&(-,'–N¢¤£¥K(J2¦2§S0,9„&

(15) 9! žm!7¨© ~ ˆ x+y«ª¬yY}¤!

(16) žt

(17) ¬LT2("I­

(18) '®!F¯¡ —[˜. ¨°x+y«ª¬¯}q±J¨°x+¯"ªŸy„}†C€x+¯}²z. . B 9G. ³!$2²e) + 1•´-µ>2$LTX(

(19) žm202' ¶·,¶‚¸ ”€{¹º. V» ¼m½ ¾ ¿À®Á. ÂTÃ[ÄtÃ. |xÅÆzÇt}|¨^xÅqzaÇt}•z. B>rG.  ¬ 2&­ ~ƒ‚¸ x+y„}[LT"! žt­!eK(

(20) !

(21) žm* !^€i, ~ƒ‚ x+y„}$! žt

(22) È,t ¶ € ¶ ‚¸-ÉËÊ 1{Ì t ¶9·L¶ ‚¸ ³!& 2 Í ~ ‚¸ x+y„}1. ®7®•¹ÎmÏ Ï-Å Ð.

(23) J. ,•žm,+. ` I„6 ZGI ` OQZ V_DGIXAfWI+H · އOQSYS7mIf_I-ˆ‰If_f_I ` VWXzT5^VWDGI Š T5ZsVWX5f_X'‹POYcnD*ZGX5f_H —  Z ; \39< †sVWDGIŽTiR]V_DGX5f.ZGXiV_OYcI+^ÌVWD„TiV.V_DGIŽ^’IV ¢¤£#cT5ZzmIkf_I\GSUT5cI ` PaOœVn^E^’RGv^’IV¢¤ £#c-XAZ„^WOY^’VWOYZGwX5ˆ7HI+T5^WRGf_I+^>¨ ^WR„cnD*V_D„T'Vˆ‰XAf[TiZPazmX5f_IS–^WI-Ve¯ OYZy † ¨^x0¯ª¬yY}† €Ž>x+¯}²z B3SG ¨°x+y«ª¬¯}†A€ ˆ x+¯} · ‰B JMG Q[I+Z„c-I‡IcT5Z TA^W^WRGHI™VWD„TiVˆ‰X5f[TiZPa#V_f_T5Z„^W\vXAf’VE\GSUTiZ¬ ¨ †]‡IŽD„T³‹5I } Š‹MŒ Œ x€ Ž }²ª Š\‹SŒŒ x+€ ˆ }•z

(24) B G Š\‹SŒŒ x+¨•.  =Gf_X5H‚ZGX'‡;XAZ–†]V_DGIZGXAfWH. . TiZ ` _V DGIŽˆ‰X5SYSQX'‡OYZGwSYIHH#TOU^XAs‹POYX5R„^+— Ì¢ ~„™›®›$œ t$€ , ~ƒ‚¸ x0yY}

(25) ¡>¤t ¶ € ¶ ‚¸.   |  ’  x Š\‹MŒ Œ x+€q}a} ‘[’S“ x€q} ·. BOSG.  A~   | ¢ }} ¢ |+~G|  §   §§  w–IV^¯"!™TiZ ` ¯#ŽvIŽVb‡XvXAfWI+S–^’IV_^+—ÌCEDGIŽ‹'TiSYRGI$¨^x0¯$!%ªŸ¯#}c+TiZ vILOQZsVWI+fW\„fWIVWI ` T5^V_DGITiHXARGZsVEX5ˆwAXPX B‰XAfH#T5^_^ˆ‰X5f[tXAZGw5I9G.c+Tif_fWOYI ` ˆ‰fWXAH VWD„I^’RG\„\GSQOYIfn^ESYXPc+T'V_I ` OQZ¯" ! VWXƒVWD„I ` IH#TiZ ` Ifn^ESQX]c+T'VWI ` OYZ¯#i—. `^. ƒ  

(26) [#-    Z VWDGOU^Ž^’I?c¶VWOYX5Z7†–‡.IƒOYZAV_fWX ` Rvc-IVWDGIƒVWD„IX5f_I-V_OYc+TiS„T5^WOUcLf_I+^WRGSQV_^™X5Z I-dPVWI+Z ` I ` Š TiZsV_X5f_X'‹sOUcnD ZGX5f_H#^—CEDGOY^ \Gf_I+^WIZsV_TiVWOYX5Z ˆ‰XASQSYX'‡[^[V_DGIƒX5ZGIXi>ˆ QT5ZGOYZ ;\39< †mVWX ‡DGOYcnD ‡.IfWIˆ‰Ifkˆ‰X5fkˆ‰RGf’V_DGIfŽ\Gf_X5\mIfWVWOYI+^kTiZ ` I-d]\GSUTiZ„Ti› VWOYX5Zv^—#ž^‡.ID„T³‹AIƒ^WII+Z OYZ VWDGI#\Gf_I‹POYX5R„^Ž^WRG„^WI+c-VWOYX5Z–†šV_DGI Š TiZsV_X5f_X'‹sOUcnDZGXAfWH OU^HR„cnD SYI+^_^^WIZ„^WOœV_OQ‹AI VWX*VWfnTiZ„^WSUT'VWOYX5Z3VWD„T5Z B‰IA— wv— G3VWDGIVWX5V_T5S‹'T5fWOUT'V_OQXAZ–—kžk^™T c-XAZ„^’ I sRGIZ„cI5†vVWDGOU^™ZGX5f_H OY^™‡ISYS^WRGOQVWI ` ˆ‰X5fkVWD„I c-XAH\„Tif_OY^WX5ZX5ˆÌ\Gf_X5„T5GOYSQOQVba ` IZ„^WOœV_OQI?^$— QX'‡.I+‹5If?† ¶9·L¶ ‚¸ OY^™X5Z„SQa ` I 6„ZGI ` X5Z VWDGI^’R„„^’\vT5c-I ~ x0yY}n†šT5Z ` f_I sRGOYfWI?^[V_DGIf_I-ˆ‰XAfWI^bV_fWXAZGw T5^_^’RGH\]V_OQXAZ„^kX5Z VWDGI ` TiV_T*VWX vIR„^WI ` OYZ T5\G\GSYOYc+T'VWOYX5Zv^—  VOU^™VWDGI+‚ Z ZvT'VWR„f_T5S VWX VWD„OQTZ ? TimX5R]VŽ\vXs^W^WOYGSQII-dPVWI+Z„^WOQXAZ„^™XiˆgV_DGOY^™ZGXAfWH —CX XARG¤f ?sZ„X'‡SQI ` w5IA†vVb‡X ^WSYOQwADAV_SQa ` O ¥If_IZsVŽZGX5f_H#^ D„T³‹AIvI+IZzOYZsVWf_X ` R„c-I ` †5V_DGeI 6vf_^’¤V B ‡DGOYcnD#‡I ` IZGX5VWI[PaVWDGI Š ›9ZGXAfWPH GPa Š TiZsVWXAfWX'‹POUcnDD„OQH#^WISQˆb†sT5Z ` VWD„I ^WI+c-XAZ ` B‰‡DGOUcnD ‡.I ` I+ZGXiV_I™Pa*VWDG[I Q[›9ZGXAfWPH G.PIa QT5ZGOYZ–—  ›'&ƛ™ —˜ ¢3¡ (¤ § }  Z#V_DGOY^E^WI+c-VWOYX5Z–†s‡.I™T5^_^’R„HƒIˆ‰RGfWVWDGI+fWHX5f_IV_D„T'VE^’\„TAc-¤I y OU^.cX5H\„T5c-V.TiZ ` D„T5^$T 6vZGOœV_I ` OYT5HƒIVWI+f+—  ZzV_DGOY^ cTA^’IA† Š T5ZAV_X5f_X'‹POYcnDTiZ ` l[RGGOYZ„^bV_IOYZP6„fn^’VÌI-dPVWI+Z ` I ` VWDGI Š TiZsVWXAfWX'‹POUcnDLZGXAfWH —  Z ` I+I ` †POYZAV_fWX ` Rvc-OYZGwL^WX5HI ‘’‡TA^bV_Iˆ‰RGZvc¶VWOYX5Z]“ Œ ^_T'VWOU^’ˆ‰asOYZGwƒVWD„IŽˆ‰X5SYSQX'‡OYZGw\Gf_X5\mIfWVWOYI+^ %. à Œ x+Å }*),+.-0/  ÅP±YÇ  z 1¿. VWD„IZ VWDGIŽˆ‰R„Z„c¶V_OQXAZ„TiS ` I6„ZGI ` T5^.  Œ x+Å }F± Œ x+Çt} . B08 G.   ÅI±JÇ  z. B:SG. ¶ € ¶.2 † $£ 3 »V¼m½ 3687:9<; ¶ € ‚ ¶ ‚¸*=  Œ xÅ®}  €x+|S¯}±Y€ ‚ x+|S¯}  · 5¿ 4 ~ x0yY}¶—Žt3X5f_IX'‹5I+f+†mc-XAZ ` OQVWOYX5Z B8GOQH\GSYOQI?^kVWD„TiV™OQV™OU^ŽTiSY‡T³a]^[T w5XPX. B@SG. ` cnDGXAOYcIV_XzVWfnTiZv^bˆ‰I+f OU^™T*ZGX5f_H X5Z ^WX5HIŽHTA^W^EOYZ„^’VWI?T ` Xiˆ‡TA^bV_OQZGwƒOQV+—gž^TƒcX5Z„^WI sRGI+Z„c-IA†]‡.IŽwAI-VEVWDGIŽˆ‰XASQSYX'‡OYZGwSQI+HƒH#TŸ;98\< — ~ ®›+™›@?  Œ ­

(27) &A:>9! 5B(

(28) žm2+È!0³!L(

(29) ,S§DC(EGF72 HCJIKF 1¬Ì T(-t€i, ~ ‚ x+y„}*¡ > Ì¢ > T9. ¶ € L¶ 2 † ¶ € ¶‚¸¤·. CEDGI+Z*V_DGI Š ›9Z„X5f_H OY^[TV_fWRGIŽIdsV_IZ„^WOYX5Z XiˆVWDGI Š T5ZAV_X5f_X'‹POYcnDzZ„X5f_H —. . B +qSG. ¬‰­®–¬°¯.

(30) .  

(31)  

(32)   "!$#%&' ("*) +,-/.021. ¢  ¤(§ } ž H#T'hbX5f ` fnT³‡„T5c

(33) ?ƒXiˆ7VWDGI Š ›9Z„X5f_H OU^.VWDGIŽ‹AIf_aƒf_I+^’VWf_OUc¶VWOY‹5I™T5^_^’R„Hƒ\GVWOYX5Z*X5ˆ 6„ZGOQVWI ` OUTiHIVWIf.ˆ‰X5f y — CED„I I-dPV_IZ„^WOQXAZ \„fWXA\vXs^’I ` PIa QkTiZGOYZ OYZ„; ³r<7f_IHX'‹5I?^.VWDGOU^[T5^_^WRGH\]VWOYX5Z–— CEDGI$Q[›9ZGXAfWH‚OY^ ` I6„ZGI ` sa  ›'&ƛ . —˜. ¶ € ¶ † £$3 ³» ¼M½ 36879 5¿ 4. ; ¶ € ‚ ¶‚¸ = ‘[’S“ x€¬±Y€ ‚ } ·. . B 9G. CEDGXARGw5DcT5fWf_aPOQZ„wwAXPX ` \Gf_X5\mIfWVWOYI+^¥OYZf_ISUT'VWOYX5Zv^’DGOY\އOœV_DŽVWDGI.^’\„TAc-I X5ˆMw7OQ\„^_cnDGOQVU ˆ‰R„Z„c¶V_OQXAZ„^>B>^’I+I ; ³r<9†V;\3<LG¶† QO VkOU^\mXA^_^’OYGSYIVW¸ X ^’I+IVWDvT'VV_DGOU^ZGXAfWH ` O mI+f_^[ˆ‰fWXAH‚V_DGIˆ‰XAfWHI+fX5Z„IX5ZV_DGI^WRG„^W\„TAc-I ~ƒ‚ x+yY}¶—  Z ` I+I ` † V_T ?POQZGw&y‰† TiZ ` €{†

(34)  %± 1 ‡OQVWD  ÅP±JÇ  )  †]‡I^’I+I™VWD„TiV ¶ € ¶ ‚ †  ÅP±YÇ  z ¶€ ¶ †  ·.  Z ˆ T5c-V+†PVWD„I Š ›9ZGXAfWH T5Z ` VWDGI[Q[›9ZGXAfWH(Tif_I™cX5Z„cI\]V_R„TiSYSQa*‹5If_azc-SYXA^WI5—  Z ` II ` †GOQwAZGX5f_OYZGwŸB8GTiZ ` VnT?POYZGw Œ 5†mVWDGIQ› ZGXAfWH•OY^™f_I+cX'‹5If_I ` ˆ‰f_X5H•VWD„I Š › ZGX5f_H —  V^WIIH#^VWDGI+Z „Z TiVWRGfnTiSVWX fWI+SYTid V_DGOU^™cX5Z„^’VWfnTiOYZsV ˆ‰X5f[^WX5HIŽSYI+^_^EfWI?^bV_fWOUc¶V_OQ‹AIkXAZGI  )C‡Tz Š ·  · Ŭ Iz Œ xÅ®}  · B ?r G W I^’I+IVWD„IZ#V_D„T'Vgˆ‰XAfWHRGSUT'VWOYX5 Z B+@GOU^Ì^WX5HeI ?POYZ ` Xiˆ„‘’RGZG/O 6„I ` “ˆ‰fnTiHI‡X5*f ?¥Æ— =GXASQSYX'‡OYZG&w ; 39< †AOQV.OU^ \mXA^_^’OYGSYI VWX\Gf_X'‹5IkVWD„IŽˆ‰X5SYSQX'‡OYZGwƒVWDGI+X5f_IH —[˜ ¢P§ } ¢  ›  › !

(35) ! žm&$LT Œ !0³!LµX! C I8FI2 C 8F 1PÌ T ¶·/·L¶ 2 ³!&2 Í ~ x0yY}1 CEDGOU^ Q› ZGX5f_H ` O mI+f_^ˆ‰f_X5H!VWD„I Š T5ZsVWX5f_X'‹POYcnDZ„X5f_HoX5ZV_DGI^’IV ~ x+y„}n†iGRGV ^’V_T³acSQXs^’IA†'OQZ\„TifWVWOUc-R„SYT5f ‡DGI+Z*V_DGI ` OUTiHI-V_IfEXiˆVWDGI^WRG\G\mX5fWVXiqˆ € OY^^WH#TiSYS>—gCED„OY^Ef_I+^WRGSQVOYZ^bVn‚ T'VWI ` OYZ VWDGIŽˆ‰XASQSYX'‡OQZ„wSYIHH#ŸT ; 39<9— ~ ®›"! ›# !

(36) ! žmP,t Œ ³!&J

(37) T! q(

(38) žm2021 Ì T LTI2 « +µo * {, C%$KFŸ!0³!LµX!LT Ì¢ > (','V$,S§Ÿ, '&žt'–,+!1.  ¶ € ¶‚¸    | x x+€q}a} z  Œ10 ¶ € ¶L2 z^€Y ~ ‚¸ x0yY} · )Œ (+*-,/. ’ Š\‹MŒ Œ.  2²K(1™MPOYZ„c-I[VWDGI[\„fWXPXiˆšOU^ ZGX5V ` I-VnTiOYSQI ` OQZ;\3<9†s‡.I\GfWX'‹PO ` I[^WX5HII-d]\GSUTiZ„TiVWOYX5Z„^+—CT?POYZGw43P†C€ OYZ{B G¶† ‡I™wAI-VV_DGI%6„fn^bV[\„T5f’VX5ˆV_DGIOQZ„I sR„TiSYOQVba5— ^WOYZGwVWDGIŽV_fWOUTiZ„w5SYI™OYZGI ARvTiSYOœVba*T5Z ` SQI+HHT A — rG†]‡.IŽD„T³‹AI™VWD„TiV ¶ € ¶L2. ˆ‰X5f[T5ZPa53 OQZ. ~ ‚ 0x yY} ¶ € ¶ ‚¸. . ¶ €Ÿ±63 ¶ ‚¸  = ¶ 3 ¶ ‚¸ z. . ¶ 3 ¶ ‚¸. .   Œ (8*-,9.. =  |  ’ x Š\‹MŒ Œ x€Ÿ±73t}} ‘’“ x+€±73t}Xz  Œ z| ’ x Š\‹MŒ Œ x+€P±63t}a} 0  ¶ 3 ¶ ‚¸ = Œ‘[’S“ x€¬±63t}  ·. B \3SG.  ˆ € DvT5^TŸ6„Z„OœV_I*^’R„\G\vXAf’V?†7V_DGI#X5\GVWOYHT5SÌHI+TA^’R„fWI:30cT5Z0vIzcX5H\GR]V_I ` I-d]\GSYOUc-OQVWSYaNB ^WII*ZGI-dPVL^WI+c¶V_OQXAZG¶† TiZ ` OœV™OY^kI+TA^’a VWX ^’D„X'‡;V_D„T'V;3 ˆ  € ˆ TiZ ` 3 Ž  € Ž —™CEDGOY^kOYHƒ\„SQOYI+^kVWDvT'V x3t} x€q}n†m‡DGOUcnD OYZ \„T5f’V_OYcRGSUTif™HƒI?TiZ„^kV_D„T'V[| ’ x Š\‹MŒ Œ x+€{±<3t}}  | ’ x Š\‹MŒ Œ x€q}a}¶—LCEDGI+Z SYŠ\I‹MHŒ ŒH#T OY^™\GŠ\f_X'‹M‹5Œ I Œ ` ˆ‰X5f%6„Z„OœV_I HI+TA^’RGf_I+^+— =OYZ„T5SQSYa5†PV_DGIk\„fWXPXiˆXiˆ7V_DGI™‡DGX5SYIkSYIHH#TcT5Z*mI™TAcnDGOQI+‹5I ` R„^WOQZGwVWD„I ` IZ„^WOœVba#SYIHH#T5^X5ˆ7VWD„I ^WI+c-XAZ ` ^’I?c¶VWOYX5Z OYYZ ;\3<9— CEDGOU^™SQI+HƒH#T ^WDGX'‡[^[V_D„T'VŽV_DGOY^cnD„X5OUc-ILX5ˆ.IdsV_IZ„^WOYX5Z OU^Žf_ISYI‹'TiZsVk‡OQVWD f_I+^W\vI?c¶VŽVWX VWDGIXAfWOYw5OYZ„TiS Š TiZG› VWXAfWX'‹POUcnDZ„X5f_H —  Z ` II ` †AOQˆ € OY^.THI+T5^WRGf_IXiˆ ~ ‚ ^WR„cnDV_D„T'XV | ’ x Š‹MŒ Œ x€q}}   Œ †iV_DGIZ ¶ € ¶L2 † ¶ € ¶ ‚¸ — tXAfWI+X'‹5If?†iXAZGIX5ˆ–VWDGI™H#TiOYZzOYZAV_If_I+^’V_^.OQZ*VWDGXs^’IkI-dPVWI+Z„^WOQXAZ„^ÌOU^ÌVWXƒI-dPVWI+Z ` V_DGIˆ TAc¶V.VWD„TiV.V_DGI Š T5ZsVWX5f_X'‹POYcnD ZGXAfWH B TiZ ` VWDG"I W TA^W^WIfn^bV_IOYZ HƒIVWf_OYcOQZ3Tz^WSYOQwADAV_SQa ` O mI+fWI+ZAV™^’IV’VWOYZGMw GEHI-VWf_VO UI+^[VWDGIL‡.I?T ?>=ƒc-XAZs‹AIf_w5I+Z„c-I XiˆHI+TA^’RGf_I+^‡OQVW¬D UI+fWXVWX5V_T5S–H#T5^_^—  Z ` I+I ` †PV_DGOU^OY^VWDGI\GR„fW\mXA^WIŽXiˆ7V_DGIŽˆ‰X5SYSYX'‡OQZGwƒV_DGIXAfWI+H — ®7®•¹ÎmÏ Ï-Å Ð.

(39) ,•žm,+ O. —[˜ ¢P§ } ¢  › q› ž ))T!•,t x0y{z*|M}X³! e!)T ­'/e+ •!+)t 

(40) 1 ? ®x+€}²­

(41) e°! &žt2

(42)  K(X

(43) !

(44) žm* ! , L TP! Ix[}%† € ~ x+y„}°! žt*,t ‘$’S“ x+€q}   0 ¡ qTÍ < ˆ 1 ? >€ ­

(45) 7¬&

(46) 9! žmP, ~ x+y„}1Ì T7€ 

(47) . 9 +§S !@>

(48)  '–=[€  ([2 7'–P ( ¶ €"±„€ ¶ ¸ § ![$‡Y9!

(49) § !$ Ê 1 CEDGOU^V_DGIXAfWI+H OY^ƒ^bVnT'V_I ` T5Z ` \Gf_X'‹5I ` OQZ; 399< —  VOY^I+^W\mI+c-OUTiSYSYa0TiV’V_f_TAc¶VWOY‹5Izˆ‰fWXAH T c-XAHƒ\„R]V_TiVWOYX5Z„T5S. . \mX5OYZAVƒXiˆ‹POQI+‡† ^’OYZ„c-I*OœV^’DGX'‡[^VWD„TiVLVWD„I*I-dPV_IZ ` I `&Š iT ZsVWXAfWX'‹POUcnD Z„X5f_H^LTif_IzHLR„cnD&HXAfWIz^WIZ„^WOQVWOY‹5I#V_X XA^_c-OYSYSYTiVWOYX5Z„^.VWDvTiZ VWDGIŽV_XiVnTiSš‹'Tif_OYTiVWOYX5Z–— *¢ ~G} ®› ®› ,N

(50) t!

(51)  

(52) !It'–LTŸ

(53) 9! Œ6  ¡ qM

(54) „!

(55) "!&È­*P,t7­

(56) +&

(57) T

(58) °(

(59) *  . . . (

(60) žm202' '–9! ³!)t,FK(• >1  $>9

(61) ¡žm , ³!Xt^%žM! LT^*2 

(62) e t**P2 ! 9!P  Cte' CKe'V*!  FŸ, ,t µX'/ {a("!

(63)  § 2'2)2

(64)  !

(65) ! ,S§S1  !> ,','!

(66)  ¡ ,e&{­

(67) Ia("! ,t ! X7*T!   Œ !& ,S§[)t

(68) ¡F§ ,,S§7['/!

(69) !%'V\

(70) 'Æ,\( &0t!1. . . . .  A~   | ¢ }} ¢ |+~G|  §   §§  w–IVq¯"!TiZ ` ¯#mI Vb‡.XmX5f_ISA^’IV_^+—7ž^–ˆ‰X5fšV_DGI. Š TiZsVWXAfWX'‹POUcnDZGXAfWH †VWDGIg‹'T5SQRGI ¨°x+¯"!Tªo¯ #}¥cT5Z™mIgOYZsVWIf_\Gf_I-V_I ` T5^VWD„IƒT5HƒXARGZsVkX5ˆÌw5XPX ` ^c+Tif_fWOYI ` ˆ‰fWXAH(V_DGI^’RG\„\GSQOYIfn^kSQX]cTiVWI ` OQZY¯ ! V_XzVWD„I ` I+H#TiZ ` I+f_^kSYXPc+T'V_I ` OYZJ¯ # — Q[X'‡I‹AIf?†'VWD„IT5^_^’R„Hƒ\GVWOYX5 Z ¨^x0¯•ªyY}†A€Ž>x+¯}OU^gf_ISUT'd]I ` †5TiZ ` V_DGI ` O ¥If_IZ„cIe€Ž>x+¯}T±P¨^x0¯•ªyY}c+TiZ#mI ^WIIZ T5^ÌVWDGIŽTiHXARGZsV.Xiˆ ` IH#TiZ ` ‡DGOUcnD*OU^ZGXiV^WTiVWOU^K6vI ` —DR]VD„If_Ik‡If_IHOYZ ` V_D„T'VVWDGIއET5^’VWIˆ‰RGZ„c¶V_OQXAZ Œ \vI+Z„TiSYVO UI+^VWDGOU^SUT5

(71) c ?#Xiˆ ^_T'VWOU^’ˆ T5c¶V_OQXAZ–— W IDvT³‹5IkVb‡.XOYZAV_RGOQVWOY‹5IŽI-d]\GSUTiZ„TiVWOYX5Z„^+— Œ cTiZ mI^’I+IZ T5^ T^’X]cOYT5S–c-XA^’VEˆ‰X5f ` OU^_^WTiVWOU^bˆ TAc¶VWOYX5Z7† VWD„Ic-XA^’VfW I sRGOQf_I ` VWXOYH\vXAf’V[wAXsX ` ^+—  ZVWD„I[^WT5HƒI‡ET³a5†iVWDGITA^W^WRGH\]V_OQXA-Z ¨°x+y ª[¯}†A€ ˆ x+¯}OU^gf_ISUT'd]I ` †ATiZ ` VWD„I ` O mI+fWI+Z„c-I € ˆ x0¯}m±&¨^x0y ª[¯} cT5Z mI ^WII+Z T5^LVWDGI TiHX5R„ZAVƒXiˆ^WRG\G\GSYa&‡DGOUcnD OU^LZGX5VƒwAX5OYZGwV_X mI ^WX5S ` — jkZ„c-I TiwAT5OQZ7†‡I*DvT³‹5I#Vb‡X c-XAH\vIVWOQVWOY‹5II-d]\GSUTiZvT'VWOYX5Zv^EX5Z VWDGILI+c-XAZGX5HOUc™HƒI?TiZGOYZGw#X5ˆV_DGIk‘’‡TA^bV_Ikˆ‰R„Z„c¶V_OQXAZP“ Œ X— ]X'‡ Œ c+TiZ vI^WII+Z T5^ VWD„I^bV_X5f_OQZGwc-Xs^bV?† VWD„Ic-XA^’VfW I sRGOQf_I ` VWXIdP\mX5fWVw5XPX ` ^+— =GXASQSYX'‡OYZGwVWD„OY^.OQZsV_If_\GfWIV_TiVWOYX5Z–†s‡.Ik^’I+I[VWDvT'VEOœVOY^^’XAHI-VWOYHI+^.vIV’V_If.ˆ‰X5f.VWDGI™^’RG\„\GSQOYIf.VWXƒ^bV_X5f_I[DGOU^ÌwAXPX ` ^ VWDvTiZ3V_X ^_T'V_OY^’ˆ‰a3^’XAHI ` OU^bVnTiZsVkZ„II ` ^[— QX'‡.I+‹5If?†„OQˆgV_DGI‡ET5^’VWILˆ‰RGZ„c-VWOYX5Z OU^™DPRGw5IA†¥TA^OYZ3V_DGIcT5^WILX5ˆgVWD„I Š › ZGX5f_H † ` IH#TiZ ` ^‡.XARGS ` mIT5^EHR„cnD ^_T'V_OYa^ 6„I ` TA^E\vXs^W^WOQ„SQIA— ][X'‡‡II+Z ` ‡OQVWDzV_DGOU^Ì\Gf_I+^WIZsVnT'VWOYX5Z#X5ˆ–I-dPVWI+Z ` I `zŠ TiZsVWXAfWX'‹POUcnDZ„X5f_H^+F— W IŽ^’DvTiSYS„ZGX5VWOUc-I[V_D„T'V^WX5HI XiV_DGIf‡.XAf ?]^cT5ZSQI?T ` VWX T ` T5\]V_TiVWOYX5Z„^EX5ˆH#TA^W^EV_f_T5Z„^W\vXAf’VV_I+cnDGZGO sRGI+^[I‹5I+Z ˆ‰X5f[R„ZsvTiSUTiZ„cI ` \Gf_X5GSYIH#^+† ‡DGI+fWIVWDGIƒHI+TA^’RGf_I+^™Tif_IƒX5ZGSYafW I sRGOQf_I ` VWX vIZGXAZ]›9Z„IwATiVWOY‹5IA¤— W IfWIˆ‰If™OQZ \„T5f’V_OYcRGSYT5fV_JX ; < †–‡DGI+fWIƒT ZPRGHIf_OYc+TiSšHI-V_DGX ` OY^E\Gf_X'‹PO ` I ` —   -7. -– . MPOYZ„c-IXARGfTiOYH OU^™VWX V_ T ?5I#T ` ‹'T5ZAVnTiwAILXiˆ.VWfnTiZ„^W\mX5fWV_T'V_OQXAZ SY/O ?AIHƒIVWf_OYc+^ŽOQZ VWD„I 6„IS ` X5ˆXA\]VWOYH/O U?T'V_OQXAZ–†–OQV OU^[Xiˆ \Gf_OYHT5fWa OYHƒ\mX5fWV_T5Z„c-IŽV_X*‡f_OœV_ILT ` OU^_c-f_I-VWIT5Z„TiSYX5wAX5R„^EX5ˆ VWDGI Š ›9ZGXAfWH — w–IV ¸ — W IL‡ETiZsVV_X ^WDGX'‡ V_D„T'V V_DGI[I+‹³T5SQRvT'VWOYX5ZX5ˆvV_DGI Š › ZGX5f_H Xiˆ cT5ZƒmI[‡f_OœVWVWI+ZzT5^ T™VWfnTiZv^’\mX5fWV_TiVWOYX5Zc-XA^’V+— w–IV Y† ˆ TiZ ` † ŸŽËB‰D„IZ„cI † „± G-—Lž^_^WRGHOQZGw VWDvT'V "D„TA^kT ZPRGSQSHI+T5Z–†–TiZ ` SYI-V’V_OQZ„w † x }mI T c-Xs^bVH#T'V_fWOQdš†–OœVOU^\mXA^_^’OYGSYILV_X3c-X5H\GRGVWIƒVWDGIV_f_T5Z„^W\vXAf’Vc-Xs^bVŽˆ‰f_X5H VWX —#CEDGOU^c-Xs^bV?† ` IZ„XiVWI ` Pa ¶ „± ¶ † ` I 6„ZGI+^VWD„I ` OU^_c-f_I-VWI Š TiZsVWXAfWX'‹POUcnD HIVWf_OYcvIVb‡.I+IZ TiZ ` —ž^kOQZ VWDGIƒ\Gf_I‹POQXAR„^^WI+c-VWOYX5Z–† ‡I‡T5ZAVÌVWXI-dPV_IZ ` V_DGOY^ÌHI-¸ VWf_OUcX'‹5I+fVWDGI[‡D„X5SYI^’\vT5c-I ¸ — W I[VWDGI+fWIˆ‰X5f_IOQZsVWf_X ` R„cIEVWDGIk‡TA^bV_IEˆ‰RGZ„c¶V_OQXAZ g†gx Œ 0}¶o — =GXAf[TiZPa OQZ †PVWDGI Š › ZGXAfWH X5ˆ OY^ ` I 6„ZGI ` sa . . . . . . . . . . . !. '. ). . . *. . . (. #. . "$#&%. ¶. +. . ¶L2 † ,. »³3 ¼M½ 6 ¶  ‚ ¶ ‚¸ ¿.- 3. =. ¸. /. Å ‚ ±JÅ  · !Œ  #. #10. #. #. . B JMG. ¬‰­®–¬°¯.

(72)  

(73)  

(74)   "!$#%&' ("*) +,-/.021. 8. EC DGOU^ ˆ‰XAfWHRGSYTŽSYI+T ` ^ V_XVWD„Ikc-XAZ„^WO ` I+f_TiVWOYX5ZƒXiˆ–TZGI+‡ VWfnTiZ„^W\vXAf’VnT'V_OQXAZƒ\„fWXAGSQI+H †5‡DGOUcnDzcT5Z#vIVWDGXARGw5DsV.TA^ TiZ RGZP„TiSUTiZ„cI ` H#T5^_^VWfnTiZ„^W\vXAf’VnT'V_OQXAZ\GfWXAGSYIH«B t CEeXG"ZvwAOQ‹AIZ A  TiZ ` 7  †¥w5OY‹5I+Z T*cXA^’V H#T'V_fWOQd   x >}ŽTiZ ` Vb‡Xƒ‡ET5^’VWI™‹5I?c¶V_X5fn^ T5Z `   †GHOQZGOYHO/U+I . .  2 x -}>†. OYZ V_DGI^WI-VXiˆH#T'VWf_OQd . /. !. #10. /. . % 0. ). . !. Ç =. "$# %. /. # %. Kx ± !Œ Š #. # 0. . /. #. !. % 0.  Ç 9} =. /. Ç. !. % 0. #&%. .      z. /. Ç. !. # 0. /. #&%. † x+Ç # %}^’R„cnD VWDvT'V  x 

(75) z m}>   ƪ   0 z•Ç.  o   z . . (. . !

(76) . % 0. #. . . x+| e % ± /. %. #10. !. . B  G. Ç #&%9}Xz. . ‡-z. #&%. B \OSG. .  Š z. B 98 G.  | ·. B \:SG. #. # %. . %. CEDGI t3CEe•cTiZ VWDGI+Z mI ^WIIZ;T5^ T0VWfnTiZ„^W\mX5fWV_T'V_OQXAZ \Gf_X5GSYIH ‡OœV_D B \„TifWVWOUTiSYSQaTGzfWI+SYTidPI ` H#Tif_w5OYZ„TiSU^ c-XAZ„^’VWfnTiOYZAVn^—  V ` O ¥Ifn^DGX'‡I‹AIfˆ‰f_X5H•V_DGIXAZGIcX5Z„^WO ` If_I ` OYZ ;ºr39< —  Z3X5f ` IfVWX c-X5H\GRGVWIVWDGIX5\]V_OQH#TiS c-Xs^bVkXiˆ VWD„OY^VWfnTiZ„^W\mX5fWV+†mOœV™OY^Xiˆgw5f_I+TiVOYZAV_If_I+^’V[VWX fWI ` R„cIVWDGI t3CEe VWX*VWDGIƒc-SUT5^_^’OUcT5S–H#T5^_^VWfnTiZv^’\mX5fWV \Gf_X5GSYIH —  VcT5Z mI ` X5ZGIƒPa3T `G` OQZGw ^’XAHIƒT5f’V_O 6vcOYT5SHTA^W^+—  Z ` I+I ` †–T5Z IdP\vTiZ„^WOQXAZ3Xiˆ%B  Gw5OY‹5I+^VWD„I ˆ‰X5SYSYX'‡OQZGwƒSYIHH#TG— ~ ! ›+™›@?   ‚ † ! Š °2  ! †  ! | S1 ?    ˆ ! 2    ˆ ! ! žt

(77) ¬LT Ì¢  . Š  q† #.  . #10. Š #.  !. #. ( >     z  (  †. %. % 0. ?  ƒ­  *LT- 

(78) I

(79) 9! X+  ¬ +µo 

(80) I­ !.! ·\·· ". #$. " . ". 111 ·\·· ·\··. g†  "!## ··\·. !.  . |  %¤†. . = $z. . . ! 1. 11. " . . Œ Œ. |.  ‚. .  (P  (-†.    Æz.  =  ·. ! '% && & 1 11. ! ‡.  Ì TÈLT-

(81) 9! •a(%,t"

(82) )20,'Æ0t!0)T 2(

(83) )   ³!['&žt' . %. . . B \@SG. (. . LT-*) +,&'*! •a(%,t*,+ Ì/2 1. CEDGOU^f_I ` R„c-VWOYX5Z&TiSYSYX'‡[^™VWXR„^WIVWDGI*ZsR„HƒI+fWXAR„^Žf_I+^WRGSœVn^ŽX5Z0X5\GVWOYHT5SgV_f_T5Z„^’\mX5fWV_TiVWOYX5Z–—  Z0\„T5f’V_OYcRGSUTif?† VWD„I ^WOQH\GSYI-d0HI-VWD„X ` fWRGZv^LOYZ&\vXASQaPZGXAHOYT5SgVWOYHI5—ÈDR]V^’OYZ„cI*‡Iz‡T5ZsVVWX3Rv^’IzIdPVWIZ ` I ` Š T5ZsVWX5f_X'‹POYcnD ZGXAfWH#^EOYZ \„f_TAc¶VWOUcT5S–Ti\G\„SQOUcTiVWOYX5Z„^+†]‡.IT5fWI ` I+\vI+Z ` I+ZAVkX5Z VWDGILcX5H\GR]VnT'V_OQXAZ„TiS–cXA^’VEX5ˆV_DGOU^[ZGXAfWH †]‡DGOUcnD OU^L‹AIf_a IdP\mIZv^’OY‹5I OQZ&V_DGI w5IZ„IfnTiS.c+T5^WI5—  Z ` II ` †gT5^_^WRGHIzVWDvT'VLˆ‰XAfƒT5SQS¤x 

(84) z-M}¶† ‡.I D„T³‹5I Š †u| † 5— CEDGI+#1Z 0324 V_DGI IŸzc-OYIZsV\GfWOYH#TiSQ› ` R„TiSŽ^’OYH\GSYI-d HI-V_DGX ` ` I+‹5I+SQXA\vI ` OYZ ;º9r <f_RGZ„^ OQZ!T T³‹5IfnTiwAIXi/ˆ .-xax = Z .-x = }  } x =  }}X5\mIfnT'VWOYX5Zv^†i‡D„If_I+T5^V_DGIEVWX5V_TiS„‹³T5fWOUT'V_OQXAZLmI-Vb‡II+Z T5Z ` OU^gc-XAH\GR]VWI ` OQ5 X5\mIfnT'V_OQXAZ„^+— Q[IZvc-I V_DGIÌc-XAH\GR]V_TiVWOYX5Zc-Xs^bVšOU^–HR„cnD™VWXPXI-d]\mIZ„^WOQ‹AI5†?TiZ ` D„TA^mVWX[mI OYHƒ\„fWX'‹AI ` ˆ‰X5f–\GfnT5c-VWOUcT5S Ti\„\GSQOUcTiVWOYX5Z„^+— 6 7 # $07 ) $-9 8 Ž-  7   :L Ž-  V[Ti\G\mI+T5f_^.V_D„T'V‡I™DvT³‹5IkVWX#^’I+I ?ˆ‰XAf[^’OYH\GSQ/O 6vc+T'VWOYX5Zv^.OQˆ‡.I™‡T5ZsVV_XH# T ?5ITL\„f_TAc¶VWOUcT5S¥R„^’IŽX5ˆI-dPV_IZ ` I ` Š TiZsV_X5f_X'‹sOUcnDZGX5f_H#^—  VEOY^‡ISYSœ› ?PZGX'‡Z#VWDvT'VVWDGI™X5\]V_OQH#T5SmH#TA^W^ÌVWfnTiZ„^W\mX5fWV.\Gf_X5GSYIH c+TiZzmI^’XASQ‹AI ` ‹5I+fWa I-ŸzcOQI+ZAV_SQa ‡DGIZ VWD„Ic-XA^’VEˆ‰RGZ„c-VWOYX5Z^WTiVWOUK^ 6vI+^VWD„ItX5ZGwAIŽ\GfWXA\vI+f’Vb{a B X5f sR„T ` f_T5ZGw5SYI™OQZG I sR„TiSYOœVbTa G  x 

(85) z-M} z    7±  z     ±  z B9riSq G #. %. *. .  *z- =   = z = ;    =  z-< =  

(86) z = ' ". ®7®•¹ÎmÏ Ï-Å Ð. ". ". ". ·.

(87) ,•žm,+ :.  Z&V_DGOY^c+T5^WI5†VWDGIŸ][XAf’V_D]›0W I+^’VƒcX5f_ZGIfLfWRGSYI ^WX5SY‹5I?^V_DGI T5SQSYX]cT'V_OQXAZ&\Gf_X5GSYIH OYZ .-x =  }X5\mIfnT'VWOYX5Zv^ B ^WII I ; +J <,G-—  VOY^[VWDGI+fWIˆ‰X5f_IZ„T'V_RGfnTiSšV_XzI-d]\mI+c¶V™^’XAHƒIOYH\Gf_X'‹5IHI+ZAV[XAZ VWDGI^’\mII ` XiˆoDETiSYOQZ„^?PO  ^HI-V_DGX ` ‡DGI+ZVWDGIƒc-Xs^bVH#TiVWf_Oœd OY^™TztXAZGw5ILHTiVWf_Oœdš—[tXAfWI+X'‹5I+f+†PV_DGOY^™T5^_^WRGH\]VWOYX5ZOU^kT5SQ‡ET³a]^[^_T'VWOU^a6„I ` OYZVWD„I cTA^’I#X5ˆI-dPVWI+Z ` I `&Š T5ZsVWX5f_X'‹POYcnD ZGX5f_H#^‡DGI+Z y † — CEDGOU^L^W\mI+c-OUTiS.^bV_fWR„c-VWRGf_I*T5fWOU^’I?^ŽOQZ&HR„cnD&HX5f_I VWfnTiZv^’\mX5fWV_TiVWOYX5Z*\„fWXAGSQI+H#^†GTA^EfWI+HT5f ?AI ` mISYX'‡— *¢ ~G} ƛ+™› +{t CK2¦a ,&T!  ' F0t!+)t 0Ÿ)  ­'/!'/

(88)  ­,t +ÈS§S&&0 *!1. .   

(89) 

(90) 9¡F,ILT^!0)T

(91) '2

(92) !%a( ,t°*2 

(93) ° 

(94) &  "¡ ¥³!eLT¤ ³! 2

(95) °+  ­

(96) 

(97) >

(98) I > * 

(99) &!!K(•)T,t+![ÈLT'–,2¡>x+Å K}[2 IxÇ }1 J,m³!*! ¡>,²³!"

(100) 9! P!

(101) [LTXLT+&žt *S§ '/ ,2'&žt'–,0³!!0³!,µ²

(102) 1 N{§S *'!+0,S§¡¤

(103) t!

(104)   x 

(105) zm}%† ¶ Å ± Ç ¶ 2 ¡ ,L Œ )  ¡°2 ! +,','9!

(106) ! žm&LT ,t-

(107) >P!+!"K(e)t,t+!"*-'/\

(108) 

(109) ¬„LT!&-'–,2 21 Y,m³!-

(110) 9!¡XLT)&žt *S§ '/ . #. #. ". #. %. ,2'&žt'–,0&³!"! 0 §9M (K> Ÿ*T!'&žt2

(111) -K(%LT-

(112) t* ,0IK( ¶9·L¶ 1 Q[X'‡I‹AIf?†'VWD„If_I ` R„c-VWOYX5Z#V_XT5Z*TiSYSQX]c+T'VWOYX5Z\Gf_X5„SQI+HÍB>T5^ ` I+^_c-f_OQmI ` OQZzSYIHH#T3„— 9G Gf_I+T ?]^ ` X'‡Z#V_DGOY^ \„T5f’V_OYcRGSYT5fg^bV_fWRvc¶VWR„fWIA†ATiZ ` T^’OYH\GSQIkTi\G\GSYOUcT'V_OQXAZXiˆ¥VWDGI°[] X5fWVWDG›0W I+^’V.c-XAfWZ„If f_RGSQI‡OQSYS„ZGX5VÌTiZPaPHX5f_ISYI+T ` VWXV_DGI^WX5SYR]VWOYX5Z–—o] I‹AIfWVWDGI+SQI?^W^+†]OœVkOY^\mXA^_^WOQGSYI™VWX ` f_I+T5H Xiˆ ^WX5HIŽZGI+T5fX5\]V_OQH#TiS^’XASQR]V_OQXAZ–—  Z ` I+I ` †vX5Z„cI VWD„I ^WI-VXiˆkI-d]\vXAf’V_I ` ^’RG\„\GSQOYI+^T5Z ` OYH\vXAf’V_I ` ` IH#TiZ ` ^ƒT5fWIŸP? ZGX'‡Z–†V_DGI \GfWXAGSYIH OU^f_I ` R„c-I ` VWX VWD„I. . X5\GVWOYHT5S„H#T5^_^ V_f_T5Z„^W\vXAf’Vg\Gf_X5„SQI+H ‡OQVWD*TLc-XA^’VÌH#T'V_fWOQd#^WTiVWOU^bˆ‰aPOYZGwŽVWDGI sR„T ` fnTiZ„w5SYIOQZGI sR„TiSYOœVbaA—  VHI+TiZv^ VWDvT'V[V_DGI^WX5SYR]VWOYX5Z X5ˆ VWDGI kt3CEe c+TiZmI‡fWOQV’V_IZOYZ TiZOYH\vXAf’Vk‹5I+c-VWXAf[Xiˆg^WO/U+I †mT5ZI-d]\vXAf’V[‹AI+c-VWX5fXiˆ ^W/O U+I †PTiZ ` TŽ\„TiVWD#OYZVWDGIH#TiVWf_Oœdš†5‡D„XA^WI[^’OVUIOU^ .-x = }¶—gCEDGIZƒVWD„I^’XASQRGVWOYX5ZXiˆ¥VWD„I t3CEe cX5Z„^WOU^bVn^ OYZ .- x =  }VWI+fWH#^+†AT5Z ` OœV.OY^g^’VWOYSYS„\mXA^_^’OYGSYIEVWXIdP\mI+c-V.T^W OQwAZGO 6mcTiZsV OYHƒ\„fWX'‹AIHIZsVÌc-XAH\„Tif_I ` VWXwAIZGI+f_T5S HI-V_DGX ` ^— žZzXiV_DGIfgZvT'VWR„f_T5Sv^WOQH\GSYO 6mcT'V_OQXAZ ` I+T5SY^̇OœV_D#VWDGI‡TA^bV_I[‹5I?c¶VWXAf_^ !T5Z 5`  — =GXASQSYX'‡OQZ„w[QTiZ„OQZ–† Tƒw5XPX ` cnDGXAOYcI^’I+IH#^.VWXV_ T ?5IkVWDGI+H(cX5Z„^’V_T5ZAV?†]TiZ ` OœV[OU^TiSY‡ET³aP^.\mXA^_^’OYGSYIkV_XfWI ` R„c-I™V_DGI\Gf_X5GSYIH V_XT5Z I sRGOY‹'TiSYIZsV\Gf_X5GSYIH ‡D„If_IkV_DGIa Tif_IŽOQZ ` II ` c-XAZ„^’V_TiZsV?— Ì¢ ~ ƛ®›@? «  2   ­

(113) & >Ÿ*

(114) !a("!

(115) /. = È  = M1RÌ2t ,t-!'–žm0 a("LT. . ). * +NÌ/2. !. ). . ³!$ ²

(116) TS§S

(117) P (%LT-

(118) 9! X&0   u  ³![) '/ 

(119) 

(120) Ÿ­IP+  g† x "  # % } +µo * 79!o(','V$!1  x 

(121) z m}>   = 'ƪ    = ;z "$ #&%^† "$ #&% = Œ  # =  % · B9r 9G. œ &M^)2'V ¡ '/ J 6 ˆ ¡e2 *2 7LT >!

(122) 

(123) 

(124) !)   ,, Œ  ˆ !$†  ˆ ![† ‡1"´"+µo . LT[!+)t

(125) 'Æ&0   ƒ  !o(','/" !1. .  x

(126)  z-M}>   = 'ƪ   = ;z. ± Œ ®± ·  ¤†  = ". Ì T„,tx = 9}

(127) J'–, 2 7LT"x  = 9}

(128) Y

(129) '–žm"RK(‰  *&*T! t   >A+ &žt' B^ C*M

(130) )  (. "$#&%. "$#&%. #. %. . LT,$'/9!  '/&¡ qm*ȳ!e‡$F 1 W ID„T³‹5I™VWXZGX5VWOUc-IŽV_D„T'V^WR„cnDTƒ\vI+f’V_RGfWvT'VWOYX5Z X5ˆV_DGI\Gf_X5GSYIH \„fWI?^’I+fW‹AI+^EtX5Z„w5IŽ\Gf_X5\mIfWVba5—gCEDGI+fWI› ˆ‰X5f_I5†s‡IcT5Z*TiSY‡T³a]^gTA^W^WRGHIV_DGIE‘’‡ET5^’VWI¶“‹5I?c¶V_X5fn^VWXvIŽc-XAZ„^bVnTiZsV°B ‡.I™^’\mI+T ?LV_DGIZzX5ˆ7Tk‘’‡TA^bV_I[\„T5f_T5HƒI› VWI+fb“ Œ ¶G —gCXƒVWDGIŽmI+^’V[XiˆX5RGf•P? ZGX'‡SYI ` wAI5†PX5ZGSYa#ˆ‰I+‡ f_I+^WRGSœVn^ ` I+T5Sš‡OœV_D R„ZsvTiSUTiZ„cI ` H#TA^W^V_f_T5Z„^’\mX5fWV_TiVWOYX5Z \Gf_X5GSYIH#^+†GI+^W\mI+c-OUTiSYSYa*‡DGI+Z VWDGILcXA^’V[H#T'VWf_OQd ^_T'VWOU^a„6 I+^[t3X5ZGwAI™\„fWXA\vI+f’VbaA—  Z ` I+I ` †„VWDGOU^[\„fWXAGSQI+H‚OU^[XAZGSQa Gf_OQI  a HƒI+ZsVWOYX5ZGI ` OQZ V_DGILf_I‹POYI‡ \„Ti\mIfkXiˆoD RGf'? T5f ` TiZ ` TiS9—¤; O< —  ZVWD„ILcTA^’IX5ˆ OQZsVWI+w5fnTiS ` T'V_T„†vT-„6 fn^’V f_I+^WRGSœVƒD„T5^mIIZ X5]VnTiOYZGI ` Pa Š Tif_\ TiZ ` –w OOQZi; r5q< † ‡DGIf_I#VWD„I cXA^’VH#T'V_fWOQd ` I+^_c-f_OQmI+^LVWDGI ` OU^bVnTiZ„cI mI-Vb‡IIZ Vb‡Xz^WI-V_^[Xiˆ \vXAOQZsVn^$xÅ # } TiZ ` xÇ % } X5Z V_DGISYOQZGIA—CED„OY^fWI?^’RGSQV[D„TA^vI+IZ3OYH\Gf_X'‹5I ` OYZR; < †m‡DGIf_I VWD„Iƒ\mIfWˆ‰I+c-VHTiV_cnDGOYZGw \GfWXAGSYIH OU^c-X5Zv^’O ` If_I ` —CEDGOY^™\Gf_X5„SQI+H ‰B ‡DGOUcnD ‡Iƒ‡OQSYS ` IZ„XiVWIƒPa VWDGI\mIfWˆ‰I+c-V ‡I `G` OYZGw \GfWXAGSYIH VWDGf_X5R„w5DGXAR]VLV_DGOY^^WI+c-VWOYX5ZG cT5Z vI ^’V_T'V_I ` TA^ˆ‰XASQSYX'‡[^+—0˜™OY‹5I+Z Vb‡X ^WI-V_^ ET5Z `    šX5ˆ^WOQZT]? ^ETiZ ` ^WX5RGfnc-I?^°B ‡OœV_D  g.G TiZ ` T‰ª  c-Xs^bVEH#T'VWf_OQd ƒ†m„6 Z ` TiZ OQZihbI+c¶V_OQ‹AI™ˆ‰RGZ„c¶V_OQXAZ  ‡D„OYcnD HOQZGOYHO/+U I+^EV_DGIc-Xs^bV. . . ‚ †. . / #10. !.  

(131) z 

(132) x a} ". ·. B9r5rG. CEDGOU^\„fWXAGSQI+H•c+TiZ3mI^WII+Z3T5^kTz\mIfWˆ‰I+c¶V™‡.I `G` OYZGwz\Gf_X5„SQI+H —  Z ` I+I ` †mw5OY‹5I+Z3T*^WI-VX5ˆgHƒI+Z  •B GSQR„I m\ X5OYZAVn^*GT5Z ` T™^’IVX5ˆv‡X5HIZ   ®B‰\GOYZT?\mX5OYZsV_^

(133) G¶†i‡ID„T³‹5I.VWX°6„Z ` VWDGI^WI-VXiˆ¥c-X5R„\GSQI?^7‡D„OYcnDƒH#T'd]OQHOVUI?^ VWD„IkTiHXARGZsVÌXiˆPhbX'a¬B‰X5f?†A^WOYZ„c-I[‡I `„` OQZ„wOY^̈‰X5fgVWDGIkvI?^bVETiZ ` V_DGI‡X5fn^bV?†5‡DGOUcnD#HOQZ„OQHOVUI+^ÌVWD„ITiHX5R„ZAV.Xiˆ ¬‰­®–¬°¯.

(134)  

(135)  

(136)   "!$#%&' ("*) +,-/.021. @. \„T5OQZG-—™CED„OY^™\mIfWˆ‰I+c¶V™‡.I `G` OYZGw*\„fWXAGSQI+H OY^™c-SYXA^WISYa SYOYZT?5I ` VWX X5RGfk\Gf_X5GSYIH B TA^W^WRGHOYZGw*OYZsVWIwAIf™^’RG\„\GSQOYI+^ TiZ ` ` I+H#TiZ `

(137) ^ G^Zgc-X5ZsV_f_T5fWaƒVWXVWD„OY^E\Gf_X5„SQI+H †]‡IŽTiSYSQX'‡ ^WOYZGw5SYI-› \vI+f_^WX5Zv^†sI‹AIZ*‡D„IZ VWDGI+fWITif_I™vX5VWD GSQR„I TiZ ` \GOYTZ ?L^WOYZGw5SYI-› \vXAOQZsVn^F— Q[X'‡I‹5I+f+†?V_DGIE\GfWOUc-IV_X™\vT³aŽˆ‰X5f cnDGXPXA^WOQZ„wkSYX5ZGI+SQOYZGI?^W^OU^VWDGI ` OU^WT5\G\Gf_X'‹POQZGwkw5SUTiZ„cI XiˆgX5VWDGI+f\mIXA\GSQIA† ` I+^_c-f_OQmI ` sa XARGf‘’‡TA^bV_I¶“Žˆ‰RGZ„c-VWOYX5Z Œ °— =„fWXAH•Z„X'‡ XAZ3OYZVWDGOU^™^’I?c¶VWOYX5Z7† Œ ‡.XARGS ` vIƒT c-XAZ„^’V_TiZsVŽˆ‰RGZ„c-VWOYX5CZ B T \„T5f_T5HI-VWI+

(138) f G-†–TiZ ` ‡X5RGS ` mIVWD„X5RGwADAVTA^T ^WX]c-OUTiS\Gf_I+^_^’R„fWIA—ƒCEDGI+Z0OœVOU^ŽI+TA^’a V_X ^WIIkVWD„TiV‡DGI+ZzV_DGOY^E^WX]c-OUTiSm\GfWI?^W^WRGf_I[OU^.‹AIf_aDGOQwAD–†PSQXAZGISYOYZGI+^_^ÌOU^ZGI‹AIfEcnDGXA^WIZ*OQZ TiZ*XA\]VWOYH#TiS¥TiSYSQX]c+T'VWOYX5Z7— CEDGI+fWIˆ‰X5f_I5†5XARGfÌ\„fWXAGSQI+H fWI ` R„c-I?^ V_XVWD„I\mIfWˆ‰I+c¶VE‡I `G` OYZGw\„fWXAGSQI+H OQZ#V_DGOU^.^W\vI?c-OUTiS¥cTA^’IA—  Z#V_DGIk^WI sRGI+S>† ‡ISYXsX ?zT'VET^WI sRGI+Z„c-IkXiˆ7\Gf_X5„SQI+H^+†AVWDGI

(139)  ^’OYZGw5SYI-› \mIfn^’XAZ#\GfWXAGSYIH †P‡DGOYcnD Tif_Ik^WX5HI-V_DGOYZGwLSY/O ?AI™TLSQOYTZ ? mI-Vb‡IIZ X5R„f‡.I `G` OYZGw\GfWXAGSYIH‚T5Z ` VWDGI\mIfWˆ‰I+c-V[‡.I `G` OYZGw\GfWXAGSYIH —. e`a_. Mraj  Kd

(140) $d nSl>j^ntl adÆv. w–IV. bYced. vILT ^WR„cnD*V_D„T'V.  ª.  c-XA^’V[H#T'V_fWOQdš—ÌCEDGI

(141)  › ^WOYZGw5SYIŽ\vI+f_^WX5Z \Gf_X5GSYIH B  tGOY^[VWX6„Z ` VWDGI^WI-V  T5Z ` .

(142) . . ’S“ t| x S’ “ t| x  }†. . . . B9r3SG B9r'JMG. }† Jz ±  = J. z. . . TiZ ` ^’R„cnDV_D„T'V.VWDGI™T5^_^’OYw5Z„HƒI+ZsVg\GfWXAGSYIH ˆ‰fWXAHŒV_DGI^WI-V    VWXVWDGI™^’IV      D„TA^ VWD„IHOQZ„OQH#TiS X5\GVWOYHT5S–c-Xs^bV?—gCEDGIŽX5\]V_OQH#TiSTiSYSQX]cTiVWOYX5Z OY^EV_DGIZ ` I6„ZGI ` Pa  Ž †  x a}

(143) z¨^x a}-qz B95r G !  ‡DGI+fWI  T5Z ` ¨ Tif_IkVb‡XƒOQZ'hbI?c¶V_OQ‹AIŽˆ‰RGZ„c¶V_OQXAZ„^[^WR„cnD VWD„TiV B9r OSG  ”  u±  º   Pz ¨ ”   ± ®º      · B9r 8 G  ZX5f ` IfV_XT³‹5XAO ` \vI+fWHR]V_TiVWOYX5Z„^+†5‡IcTiZ#TA^W^WRGHIVWD„TiV  OU^ OYZ„c-f_I+TA^’OYZGw B TiZ ` V_DGIZ#R„ZGO sRGI+SQa ` I-V_If_HOQZGI ` X5Zvc-I  OY^[cnD„XA^WIZ G-— q›™2›™  § <¢ i|  §  ¦  | ˜ | ˜ ¢¦L¢ ¨<¨  ! } § y  ¢  VOU^X5P‹POQXAR„^ŽVWDvT'VLV_DG7I ‡

(144)  ^WOYZGw5SYI-› \vI+f_^WX5Z0\Gf_X5„SQI+HOU^V_DGI*\mIfWˆ‰I+c-V‡I `G` OQZGw \GfWXAGSYIH — CEDGI OQZsVWR„OœV_OQ‹AI c-XAZGZGI?c¶VWOYX5Z mI-Vb‡II+ZVWDGI ‡.I `G` OYZGw \Gf_X5GSYIHTiZ ` VWDGI

(145)  ^’OYZGwASQI›9\mIfn^’XAZ\GfWXAGSYIH#^#OU^*^’V_T'V_I ` OYZ VWD„I ˆ‰X5SYSYX'‡OQZGwƒSYIHH#TG— Ì¢ ~ ƛ"! ›@? °x z  }P,#ˆ " # ! žt* LT    1 ?  ­*Ÿ  ª  

(146) 9! °&0  M1iÌ TŸ( . . . /. . ". #10. (. . . . $".

(147)   

(148)  >!

(149)  )T& Œ ,5 ¡LT"*³! !¤!& 2 , ! žt*ŸLT  2 † 2 +È

(150) 9

(151) ¡ ³![Ÿ 

(152) 

(153) 9! ,S§°(

(154) žm20Ya( Œ 1 2²K(k1 CEDGI$6vf_^’V[\„TifWV[XiˆV_DGISYIHH#TOY^X5P‹POQXAR„^†vTiZ ` ‡IŽˆ‰XPcR„^[XAZ VWDGIL^WI+cX5Z mIŽVb‡.Xf_I+TiS¥‡ET5^’VWIŽ\„T5f_T5HƒIVWI+f_^+†]TiZ ` ‡fWOQVWI 2  † # —W IDvT³‹5I !. '&. . W. . . Iw5I-VEV_DGIZ. %. . . . = x  2 =  ±J} Œ 1. ` \„T5f’V?—²w7I-V°‡. 3 = x ‚ =   ± J} Œ ‚  )( = x  <! =  ± J} Œ ‚ z ( = x  ! =  ± Y} Œ !  "3 = x  ‚ =  ±J} Œ ! ·. . . . )( . ± . . B9r:SG. . B9r@SG. B+35qSG. 3  Œ ! x ‚ ± <!\}²z (  Œ‚x ! ± ‚} · . "3•± W I ` I ` R„c-IŽV_D„T'V x ± <!}  !9x ± <!\}n†v‡DGOYcnD HI+T5Z„^EV_D„T'V ‚  <!³—XQIZ„cI 2 ˆ‰RGZ„c-VWOYX5Z Xiˆ — CEDGŒ OU‚ ^[TAcn‚ DGOQI+‹5I?^ÌV_DGIŒ \Gf_XP‚XiˆX5ˆSYIHH#TJ„— 3G— . Œ. ®7®•¹ÎmÏ Ï-Å Ð. . . (. !. É Œ ‚ É Œ. (. . . . B+3 9G. OU^T ` I?c-f_I+TA^’OYZGw.

(155) +q. ,•žm,+. W I#D„T³‹5I#^WIIZ VWDvT'VVWD„IzZPRGHLmIfX5ˆE^WOQZ„w5SYI-› \vXAOQZsV_^ŽOYZ„cfWI?T5^WI+^ŽT5^ŽV_DGIz^WXPcOYT5S \Gf_I+^_^’RGf_I ` I+cfWI?T5^WI+^+—#ž Z„TiVWRGfnTiS sRGI?^bV_OQXAZ OY^zVWX TA^a? ‡DGI-V_DGIf ^’OYZGwASQI›9\mIfn^’XAZ„^#cT5ZV_T ?5I3T ` ‹³T5ZsV_TiwAIXiˆŽVWD„I3fWOU^WIXiˆŽVWDGI ^’X]cOYT5S \Gf_I+^_^’R„fWI.VWX%6„Z ` XAZGI^’‡IIV DGI+T5f’V?—  ˆ¥ZGXiV?†5‡I^WT³aŽV_D„T'V V_DGI[c-Xs^bVgH#T'V_fWOQd^_T'V_OY^a6„I+^V_DGȊbwAfWI+I ` aL\GfWXA\vI+f’VbaA“¶— ¢  ‰|  §  q› q›kx } ¢P¢ ¨ £ } §  ¢ }³| £ ›@? Xx z  }[,$" # ! žt*{,t    1 ?  ƒ­

(156)  ǻ . 

(157) 9! ²+  M1Ì2t u³!%! P!+³!L(

(158) PLT¤§**

(159) ¤)2

(160) )T +I (("t C. ,  ‡   ±. . . . . . . . ˆ  . ˆ. !. ;0¡ >%T. B+3ArG. !. ž^[‡.I‡OYSQS^’I+IOQZ VWD„Iˆ‰X5SYSQX'‡OYZGwI-dGT5Hƒ\„SQIA†]VWDGI‘’w5f_II ` az\Gf_X5\mIfWVbaA“kOU^ZGXiV™^WTiVWOU^K6„I ` ˆ‰XAf[w5I+ZGIfnTiS–cXA^’V H#T'V_fWOUc-I?^— q›™2›  x  §  | ¢ } ¢ ~   ¢ X5Zv^’O ` IfEV_DGI

(161)  ^WOQZGwASQI›9\mIfn^WX5Z*\„fWXAGSQI+H ‡OQVWD VWDGIŽˆ‰XASQSYX'‡OYZGwƒcXA^’VHTiVWf_Oœdš— . !##. ˆ. %'&&.                . ##$. &&. (.  . CEDGI^WX5SYR]VWOYX5Zv^.X5ˆV_DGI\Gf_X5GSYIH(Tif_I™^WDGX'‡Z OQZ VWD„IŽV_Ti„SQIŽmISYX'‡—. . ‡.  . . . .  z

(162) 0. . . z 0. . 0 . 0. I^’I+IkV_D„T'VV_DGI‘’w5f_II ` a#\GfWXA\vI+f’VbaA“kOU^EZGX5V^WTiVWOU^K6„I ` D„If_I5— q›™2› ! Œ§  v¢ ~G|$}   ¢ {~  ¨| ˜ ¢

(163)  {    ¢A¤  ¢ }'{ § } § y  ¢ CEDGȊ’w5f_II ` a\Gf_X5\mIfWVba5“OY^ Z„XiVg^WTiVWOUK^ 6vI ` ˆ‰X5fgT™w5I+ZGIfnTiS]cXA^’VgHTiVWf_Oœdš—FQ[X'‡I‹5I+f+†'‡IcT5ZƒId]\vI?c¶V VWDvT'VÌ^WX5HI ^W\vI?c-OUTiS^’VWf_R„c-VWRGf_I ` H#T'V_fWOUc-I?^[TiSY‡T³a]^^_T'V_OY^’ˆ‰a OQV+—  Z ` II ` †„OQVkOU^EVWDGIƒcTA^’I‡DGI+Z VWDGIc-XA^’VH#T'V_fWOQd ^_T'V_OY^a6„I?^ VWD„ItXAZGw5I\Gf_X5\mIfWVba5†mT5^‡OQSYSmIL\„fWX'‹AI ` OQZV_DGIXAfWI+H(Jv— O„—kjkZGILc+TiZ3T5^ ?*‡D„I-VWD„IfkVWDGIL^WX5SYR]V_OQXAZOY^kI‹AIZ HLRvcnDz^’OYH\GSQI+fgOYZVWDGOU^Ì^W\vI?c-OUTiS„c+T5^WI5†AHƒI?TiZGOYZGwŽV_D„T'VgV_DGIwAfWX'‡OYZGwŽ^’ I sRGIZ„cIXiˆ–^WOQZGwASQI›9\mIfn^WX5Z„^OU^ V_DGI^_TiHI X5Zvc-I#V_DGIzH#T'V_fWOQd OU[^ ?PZGX'‡Z V_X3vI T3tXAZGw5I#H#T'V_fWOQd𗠁 VOU^ˆ TiSU^WI5† TiZ ` T5ZP{a 6Gd]I ` ^WI-V  Yª  &c+TiZ&mI VWD„I™R„ZGO sRGIŽHOYZGOQHVO UI+fEˆ‰X5fVWDGI

(164)  ^WOQZ„w5SYI-› \vI+f_^WX5Z \GfWXAGSYIH  z‡OQVWD TiZ Ti\G\Gf_X5\„fWOUT'V_Ikc-Xs^bVEH#T'V_fWOQdš—CED„I c-XAZ„^’VWf_R„c¶V_OQXAZ*Xiˆ^’RvcnD TƒH#T'VWf_OQdzOY^EOYZ ` OUcTiVWI ` OYZ*V_DGI™ˆ‰X5SYSQX'‡OYZGwƒSQI+HƒH#T„†]‡DGOYcnD OU^^’V_TiVWI ` mI-ˆ‰XAfWI™VWD„IX5f_IH J„— OƒvI?cT5R„^’IŽOQVTiSYSQX'‡[^.V_XƒRv^’IT5Z RGZ„OYcOœVba T5^_^’RGH\]V_OQXAZ OYZ OœVn^E\Gf_XsX5ˆb— Ì¢ ~ ƛ ®›@?  x z  }^ " # 1  !

(165) ! žm"LT    2 %µF A,  ‡ 1 ?     N­

(166) - > W. !. . ! žt­ !!%K(  ‡ X2 / ‡   !+³!L(

(167) ,M§ C 8F&2 ! žt*,t  ª  ³!%LTžmt &žt%!'–žm+Ya(  1 !. !. C "F1&Ì TLT[* ³! +!% ͪ5 +ÈS§S$&0  . . 2²K(1^W I ` Å # † n—=Gf_X5H. .

(168) . . . . I+^_c-f_OQmIŽDGIf_I™DGX'‡ V_Xƒ„RGOQS ` ^’RvcnD TH#T'VWf_OQd¥—ow7I-V ‰†gx+Å } !  TiZ ` V_DGItXAZGw5IŽ\Gf_X5\mIfWVba5†]‡I%?sZ„X'‡ VWDvT'VEVWDGIXA\]VWOYH#TiS7cXA^’VOY^EwAOQ‹AIZ sa .

(169) . . †.  Ž /. .  x a}

(170) z¨^x a}-qz !  ". #10. #. #10. † x+Ç # } # 0. . ! . —ÌMPIV B+3 3SG. ¬‰­®–¬°¯.

(171) .  

(172)  

(173)   "!$#%&' ("*) +,-/.021. ‡DGI+fWI  T5Z ` ¨ iT f_IkVb‡X^bV_fWOUc¶V_SQa OQZ„cfWI?T5^WOQZ„wLˆ‰RGZvc¶VWOYX5Zv^[^’RvcnD*V_D„T'V  ”     ± ¨ ”  u  ±.  º   Æz   º      ·. (. (.  †–‡I^WI-$V Ç 7 ; † Å 7 ; —CEDGIƒXiV_DGI$f Ç ET5fWI ` I 6vZGI ` ^’RvcnD3VWDvT'VŽVWDGI#^WI sRGI+Z„c-IŸxÇ }OY^ ’^ VWf_OYc-VWSYa OYZ„c-f_I+TA^’OYZGwzT5Z ` VWD„TiV°¾ Ç ÌOY^kTiZ3OYZsVWI+w5IfOœˆÌT5Z ` X5ZGSYa Oœˆ EOU^[OYZVWDGIf_T5ZGw5IX5ˆ¨—^=OYZ„TiSYSQaA†„V_DGIcXA^’V ˆ‰RGZ„c-VWOYX5Z OY^gw5OY‹5IZƒPa  

(174) z2†i|tx+Å *zaÇ }¶—  VgOU^ I?T5^WaVWX^WIIVWDvT'V ;OY^ Tt3X5ZGwAIH#TiVWf_OœdT5Z ` VWD„TiV %ª  OU^VWDGIRGZ„OsRGI^WX5SYR]VWOYX5Z Xiˆ  ¥—gCEDGOY^TAcnDGOYI‹5I?^.VWDGI\Gf_XPXiˆXiˆ7V_DGISYIHH#TJ„— ]— —[˜ ¢P§ } ¢ q›ƛ?  Í­

(175) [‰ª/ +ÈM§[+  M1 ?  Y  ‡   ±  ±D;0¡o2 P  [­  ª  =GXAf¤  ‡  ‰  ±. #. #. #. #. #. ". ". #. .%. . .

(176) . !'–žm+Ya(. . +. . 1Ì TJLT"³! !&!'–žm0. . . . . .  . . ! ª. ˆ. .  . . . ˆ. . ˆ !¤z ˆ ! ·. . ! K(.

(177) . ˆ. . ! !

(178) žt

(179) ¬LT. . 2²K(1 [\ŽV_XT^WHT5SQS5\vI+f’V_RGfWvT'VWOYX5ZŽX5ˆsV_DGIÌcXA^’V–HTiVWf_Oœd B ^WII SYIHH#TJ„— G-†\Gf_I+^WIf_‹POQZGwtXAZGw5I \„fWXA\vI+f’VbaA† ‡I™c+TiZ TA^W^WRGHI[V_D„T'V  Iª  zOU^.VWDGIŽRGZ„OsRGIŽ^’XASQRGVWOYX5Z*X5ˆ  ¥— I+ZGXiV_IkPa  † ©±  ± VWDGI™ZPRGHLmIf XiˆHT5fWf_OUTiw5I?^ˆ‰X5f  ¥— CEDGXA^WI\„T5OQfn^Tif_I ` I+ZGXiV_I ` Pa Œ x t}o†gx  ®x }

(180) z x t}a}¶†]‡DGIf_I zvI+SQXAZGwA^ÌVWX    — ˆ ! x t} †¥T5Z `` I+ZGXiV_I CEDG7I x ± }E\„T5OQfn^ ˆ ! Tif_I ` I6„Z„I ` OYZV_DGI^_TiHI‡ET³a5—MPIV Ÿ† x t} Pa Œ  x t }o†gx 

(181) x t} z  x Œ }a}.V_DGIISYIHIZsVn^EXiˆ  — kI 6„Z„I J†  =  ˆ !'. — Œ egfWI?c-OU0^’I+ SQaA. †]Œ ‡.IDvT³‹5I 0 # Ž ! J†  Œ  x t} · B+3iMJ G . .

(182) .

(183) . !. . . . . . . . /. . 0. . . . . ". !. MPOYZ„c-I ŒOU^T*tX5ZGwAIH#T'VWf_OQd¥†v‡.I^WIIVWD„TiVkTiZPa*\vTiOYf[Xiˆ H#Tif_fWOUTiwAI+^%x x }

(184) z x ,}a}[^’RvcnD V_D„T'V *x t} É x L} TiZ `  x ,} É t x t}7cTiZvIf_I+Tif_fnTiZGwAI ` OQZƒX5f ` I+f–VWX ` I?c-f_I+T5^WI V_DGIc-XA^’V+— Œ  Z ` I+I Œ  ` †³V_DGI ARvT ` fnTiZGwASQIÌOQZGI sR„TiSYOœVba Ti\„\GSQOYI ` V_X 

(185) x t}n† *x

(186) ,}¶†  x ,}TiZ `  x }.OY^[^WOYHƒ\„SQa.  

(187) x t} z  x }- =  

(188) x } z 2  x t}   x t}

(189) z 2 x t}- =  x }

(190) z   x }- · W I ` I ` R„cIV_D„T'VEOœVEOU^.\mXA^_^WOQGSYIkVWXLwAI-VTZGI+‡ ^WI-V ¥† Œ  x }

(191) z I  ‡Tz   ± '  0 ^WTiWV OU^bˆ‰aPOYZGwV_DGIˆ‰XASQSYX'‡OYZGw . \Gf_X5\mIfWVWOYI+^ ". ". ".   ± $z. B+3 G. )  }„† x       }Xz. B+3 OSG. ’S“ |tx &}X†.    ‚  ‡ z   ‚  ‡   0z. x z }

(192) z$x  . ". ; Š ·  · x t}o†  ‚ 0 }   z B+3S8 G B+3 :SG ’S“ |tx 7  ‡    ± ;  Š ·  ·  x t}>† ‚ 0 }   z . # Ž !  Œ  x }  · B+3 @SG !. I+fXAZ V_DGISYX]cT'V_OQXAZ„^EX5Z V_DGILTiSYSYXPc+T'V_OQXAZ \„SYT5Z–—Xw7I-V Œ ‚ † x  ‚ z- ‚ }ET5Z ` Œ ! † x

(193)  ! z ! } ’“ |x 7  ‡. .. /.  ZsVWf_X ` R„c-IŽV_DGIXAf ` mIŽVb‡.XSYXPc+T'V_OQXAZ„^— CEDGI+Z ][X'‡ ‡I#X5f ` VWDvT'V. ±. . 0. Œ ‚  Œ ! |tx Œ ‚ }  |x Œ !} · IfŽV_DGI*^WI-V ^WX VWDvT'V|x Œ  x · }a}™OU^ZGXAZ]› ` I+c-f_I+TA^’OYZGwv—P=Gf_X5H.    . ®7®•¹ÎmÏ Ï-Å Ð. ". .     ± z¤x 

(194) x t} É 

(195) x }a}„†.     ± z t| x Œ  x t}a}†i|tx Œ  x }a}Y†. B JAqSG. V_DGI*T5vX'‹AIƒ\„fWXA\vI+f’V_OQI?^†‡.I#D„T³‹AI. .   x a} }Xz. B J 9G. x Œ x t}o† Œ x }} ·. B JsrG. x  x t}.

(196) ?r. ,•žm,+. ITif_IwAX5OYZGwzZGX'‡ VWX GRGOYS ` Vb‡.X*^WI-Vn^ TiZ ` ˆ !` I6„ZGOYZGw*XA\]VWOYH#TiSTiSYSQX]c+T'VWOYX5Zv^Eˆ‰X5f  T5Z `  ˆ ! — PM XAHƒIƒ\mX5OYZAVn^ŽcTiZ vIVb‡OUc-IƒOQZ —LCED„IZ f_IHX'‹AIvX5VWD XiˆgV_DGIH ˆ‰fWXAH T5Z ` ^WIZ ` VWDGI+H f_I+^W\vI?c¶VWOY‹5I+SQa OYZAV_X T5Z ` ˆ ! — W I ` I ` R„cI ˆ‰f_X5H B J 9G#V_D„T'V | OY^ ZGX'‡ ^’VWf_OUc¶VWSYa OYZ„c-f_I+TA^’OYZGw XAZ — W I D„T³‹AI  †  ! z  # z ·V·/· z  # ˆ ! —][X5VWOUc-IƒVWD„TiVLT'VHXA^’VŽVb‡.X \vXAOQZsVn^ŽXiˆ H#T³a3DvT³‹5IVWDGI#^_TiHI#Ti„^_c-OU^W^_TG†šT5Z ` VWDvT'V™VW. DGXs^’I\mX5OYZsV_^™ D„T³ ‹AI0 VWDGI+ZVWX ˆ‰X5SYSYX'‡ I?T5cnD3X5VWDGI+f+—™CEDGIZ ‡.Iƒ^’I+Z ` .  # ˆ ! 0 OYZsVWX 3T5Z ` .  # 0 OQZsV_X ˆ ! F— W ID„T³‹AIkV_DGIZ B J 3SG ’S“ |tx }†  z B J5MJ G ’S“ |x ˆ ! }o†  ±  · a B fWI?^’\7— ˆ ! GƒOY^  =Gf_X5H VWDGITimX'‹5I X5v^’I+fW‹'T'V_OQXAZ–†Ì‡I^’I+I VWD„TiV#VWDGITiSYSYXPc+T'V_OQXAZ \GSUTiZ ` I 6„ZGI ` P T ` HƒOU^_^’OYGSYIkˆ‰XAf  YB‰f_I+^W\–—  ˆ ! G-— I+ZGXiV_IPa   TiZ `  ˆ ! VWDGIf_ISUT'V_I ` c-XA^’V_^+— W IwAI-V B J G  =  ˆ !   =  ˆ ! · W I ` I ` R„cIˆ‰f_X5H V_DGOU^.OYZG I ARvTiSYOœVbaV_D„T'VVWDGXs^’IŽTiSYSYXPc+T'V_OQXAZz\GSUTiZ„^ETif_IXA\]VWOYH#TiS9—  =Gf_X5H VWD„IkRGZ„OYcOœVbazX5ˆ–VWD„I ^WX5SYR]VWOYX5Zˆ‰XAf  †A‡IkcX5Z„cSQR ` I[V_D„T'V.VWDGI™^’IV   ` I 6„ZGI ` ‡OQVW D OU^ÌOYZ#ˆ T5c-V  —  VfWI+H#TiOYZ„^ V_X^WDGX'‡ VWD„TiV     ˆ !i— W OœV_DGX5R]V[SYXA^_^EXiˆw5I+ZGIfnTiSYOQVba5†P‡.Ic+TiZ T5^_^’RGHI™VWDvT'V     ˆ !e† "z B J OSG  

(197)   ˆ !e† -z B MJ 8 G B J :SG

(198) ˆ !^† ·  =Gf_X5H•ZGX'‡ X5Z–†m‡I ` f_X5\ VWD„IVWOYS ` I+^+— W ID„T³‹5IVWXzHIZsV_OQXAZ VWD„TiV T5Z ` 0D„T³‹AIcnD„TiZGwAI ` ‡OQVWDGOYZV_DGOY^ f_I+^’VWf_OYc-VWOYX5Z3X5ˆ VWDGIƒ\Gf_X5GSYIH $— Da cX5Z„^’VWf_R„c-VWOYX5Z–†mVb‡X*\mX5OYZAVn^™Xi ˆ  Tif_I^WI\„T5f_TiVWI ` sa3T ^’OYZGwASQI\vXAOQZsVŽXiˆ ˆ !-B T5Z ` c-XAZs‹AIfn^’I+SQTa G-—žk^W^WRGHIŽVWDvT'VVb‡XcX5Z„^WI+cR]VWOY‹5& I B ` OY^’VWOYZ„c-

(199) V GE\mX5OYZsV_^  3T5Z `  3 ˆ !kXiˆ ‚^WTiVWOU^bˆ‰a |x  3 ˆ !} C|x  39} =  — CEDGIR Z B‰SJ OGTiZ ` B MJ 8 GÌOYH\GSYazVWDvT'V 

(200) x ‚ } É *x ‚ = }Xz B J @SG x ‚ } É tx ‚ = } · B iSq G  Z \„TifWVWOUc-R„SYT5f+†]OQV[HI+TiZv^EVWD„TiV[OœV[OU^\mXA^_^’OYGSYIŽVWX#^W\GSQOQV[V_DGITiSYSQX]c+T'VWOYX5Z \GSUTiZ„^EOYZsVWXˆ‰XARGf[\„T5f’Vn^—  Z ` II ` T5Zsa \mX5OYZAVn^ Xiˆ D„T³‹AI.V_XvISYX]cTiVWI ` OYZƒXAZGIXiˆmVWD„I[Tif_I+T5^  T5Z ` z†5‡D„If_I.V_DGISYOQZGI?^g^WI\„T5f_TiVWI  3TiZ `  3 ˆ !³— W. . . . .

(201) . . . . . . . .

(202) . . . . . . . . . . . . . . . . . . . . . .  . . ‡. B 9G. . ‡. =GXAf\„Tif_OœVba&f_I+TA^’XAZ„^+† X5ZGI XiˆkVWDGI SYXPc+T'V_OQXAZ„^c-X5ZsVnTiOYZ„^V_DGI^WT5HI ZPRGHvI+f#Xiˆ\mX5OYZsV_^Xiˆ  TiZ `  ˆ !'— CEDGI+Z#X5Z#V_DGOY^.Tif_I+T„†A^_T³a†AVWD„XA^WI[fWI?^bV_fWOUc¶V_I ` T5SQSYX]cT'V_OQXAZ„^ HOYZGOQHOVU IV_DGIkcXA^’Vgˆ‰X5f^’XAHI

(203)

(204)  ^WOQZ„w5SYI-› \vI+f_^WX5Z \Gf_X5GSYIH —FG= f_X5H!VWD„IR„ZGOYcOœVbaTA^W^WRGH\]V_OQXAZLX5Z  T5Z `  †i‡.I ` I ` R„c-I.VWDvT'VVWDGXs^’IETiSYSQX]c+T'VWOYX5Zv^T5fWI.O ` I+ZsVWOUcTiS X5Z—gCED„OY^[cX5ZsVWfnT ` OYc-V_^%‰B JS:¶G —gžk^T#c-XAZ„^’I sRGIZ„cI5†P‡I™wAI-V  I  ‡   z |tx Œ  x t}a}†  "± %z B 5rG  P ·  ‡   ± '0z |x Œ  ˆ ! x t}a}†  B 3SG [\0V_X3T VWfnTiZ„^W\mXA^WOœV_OQXAZ–†–‡IzcTiZ&TA^W^WRGHIVWD„TiV   ˆ ! Lx 9}$†  2Lx 9} = A—*CEDGOU^cTA^’I#OU^OYSQSYR„^’VWfnT'V_I ` X5Z VWD„I ˆ‰X5SYSYX'‡OQZGw ª H#T'VWf_OQd¥†š‡D„If_IVWD„Iƒ^ sR„Tif_I+^™^bVnTiZ ` ˆ‰X5fkVWDGISYX]cT'V_OQXAZ„^kXiˆÌ\mX5OYZsV_^™Xiˆ  B OQZ GSUT5c

(205) ?T[G T5Z ` B OYZ ‡DGOQVWI-G —  ˆ !-‰. . . . . . . . %. $ !   . . . (. . . =GXAfV_DGOY^ƒ\Gf_X5„SQI+H †‡I*D„T³‹AI N† G†  † 3T5Z `   ˆ ! † 0 TiZ `  ˆ ! †  0 —3CEDGI ^’aPHHI-VWf_OUc °B V_f_T5Z„^W\vXs^’I ` ŽG cTA^’IA†–ˆ‰X5fL‡DGOYcnD  ˆ ! xG}$†  xG} = #SYI+T ` ^ŽVWX . „† ]† „†  .TiZ `  ˆ ! † .  0 T5Z `  ˆ ! † — XAHOQZGw„TAc

(206) #? VWXXARGfX5f_OQwAOQZvTiS¥\Gf_X5GSYIH †]‡I™wAI-VV_D„T'V . 0  mx .  ˆ ! }† z B 'JMG  mx .  ˆ ! }o† -z B 5 G ‡DGOUcnDz\Gf_I+cOY^WISYaLHI+T5Z„^ÌVWD„TiV   ˆ !TiZ `   ˆ !'—CED„OY^T5cnDGOYI‹AI+^V_DGI\„fWXPXiˆšX5ˆšVWDGI+X5f_IH J„— OG—. . . . . .          . ¬‰­®–¬°¯.

(207) 3.  

(208)  

(209)   "!$#%&' ("*) +,-/.021. . =OYw5R„fWI ZgMPXAR]VWDG›0W. I+^’V^’D„Oœˆ°V. =OQwARGfWIrTZ]X5fWVWD]›EÌTA^bV[^WDGOœˆ°V. jkZ„cIŽVWDGIŽ‘bwAfWI+I ` a \GfWXA\vI+f’VbaA“ŽOY°^ ?PZGX'‡Z VWXzDGXAS ` †vOQVOU^OYZsVWIf_I+^’VWOYZGwV_Xz‡.XAZ ` I+f[‡DGI-V_DGIfVWDGI+fWILI-d]OY^’V_^ #T c-f_OQVWIf_OYX5Z TiSYSQX'‡OYZGwƒVWXzcnDGI?c

(210) ?zV_D„T'V[V_DGI%6„Z„T5S7ZPRGHvI+f[Xiˆ ^’OYZGwASQI›9\mIfn^’XAZ„^$B°ˆ‰XAfT-6Gd]I ` ‡ET5^’VWI\„T5f_T5HI-VWI+f Œ G™OU^Žf_I+T5cnD„I ` —#CEDGIˆ‰XASQSYX'‡OQZ„w*V_DGIXAfWI+H \Gf_X'‹sO ` I?^^’R„cnD0T c-f_OœV_If_OQXAZNZŽV_DGI6„Z„T5Sg^’IVXiˆ^’OYZGwASQI›9\mX5OYZsV_^™OY^ f_I+T5cnD„I ` TA^^’XPXAZ TA^TiZPazZGI+‡ \„T5OQfX5ˆ^WOQZ„w5SYI-› \vXAOQZsV_^OYZ„c-f_I+TA^’I?^.VWDGIcXA^’V+— —[˜ ¢P§ } ¢ q› ›?  ƒ­

(211)  «ª  +ÈM§"&0  S1²´-µ>2 .  P  0z. ’ † ³!$2¦,2

(212) 9! ,S§S1. Ì TÈLT[! & žt2

(213) $x ’ }  ¿ !  2²K(1  Z X5f ` I+fVWX&\Gf_X'‹5I VWD„IX5f_IH. . Ž. ! ±. . B OSG. ·. J„–— 8P†OœV OY^z^WR]Ÿzc-OYIZsV#V_X ^’D„X'‡ VWDvT'5V !6 #i—  Z VWDGI3\„fWXPXiˆb†‡I c-XAZ„^WO ` I+fWI ` ^WI‹AIfnTiS¥cT5^WI+^+† ` I\mIZ ` OQZ„wƒXAZ*V_DGIŽfWI?^’\mI+c-VWOY‹5I™SQX]c+T'VWOYX5Zv^.X5ˆ7V_DGIŽZGI‡;\„TiOYf_^X5ˆ^WOQZGwASQI›9\mIfn^WX5Z„^+— Q[X'‡I‹AIf?†gTiSYSOQZ„I sR„TiSYOQVWOYI+^#Tif_I ^’DGX'‡Z R„^WOQZGw V_DGIz‘bXA\]VWOYH#TiSYOœVbaA“ X5ˆ ! † x  ! z- ! }ƒTiwsTiOYZ„^’V7x  ! z # }T5Z ` x  # z ! }¶†GTiZ ` VWDGI sR„T ` fnTiZ„w5SYI[OQZ„I sR„TiSYOQVbaƒ‡D„IZÈx

(214)  # ±  ! } · x  # ±  ! }*) ‡G—][X5VmIOYZGwƒXiˆ7\„fWOYH#Tif_aOYZsVWIf_I+^’V+† ` IV_TiOYSU^EXiˆVWDGI\Gf_XPXiˆTif_Ik\mXA^’VW\mX5ZGI ` RGZsVWOYS7Ti\G\mIZ ` Oœd ž— CEDGIŽH#TiOYZ*OYZsVWIf_I+^’VXiˆVWDGI+X5f_IH#^J„— OT5Z ` JvH— 8OU^TiZ I-Ÿzc-OYIZsV[TiSYw5XAfWOQVWDGH †P‡DGOUcnD ‡OYSYSšvIŽI-d]\GSUTiOYZGI ` OYZ VWD„IƒZ„I-dPVL^’I?c¶V_OQXAZ–-— QX'‡.I+‹5I+f+†mVWD„Ia T5SY^WX T5SQSYX'‡oV_X wAI-VŽVWD„IcX5Z„c+T³‹POœVbaX5ˆÌVWD„I Š › ZGXAfWH#^™‡OœV_D f_I+^W\mI+c¶VŽV_X VWD„I‡TA^bV_I-› \„TifnTiHI-V_If?—CEDGOU^E\Gf_X5\mIfWVbazOU^E\GfWX'‹AI ` OQZTi\„\vI+Z ` OQd — . >nTd d h ol>ntrkTc^v kml l p>dkTced Yd ^rj ^nTl KdÆv ž^*T cX5Z„^WI s RGI+Z„c-I Xiˆ™VWD„IX5f_IH"J„— OG†Ì‡Iw5IVzT wAfWI+I ` a TiSYw5X5f_OQVWDGH V_X ` I6„Z„I V_DGI3^WI sRGIZvc-I Xiˆ^’OYZGwASQI› \mIfn^’XAZ„^ ‡DGI+Z OU^ÌTt3X5ZGwAI[H#T'VWf_OQd¥—  Z ` I+I ` †AX5Z„cI  #T5Z `$ Tif_I ?sZ„X'‡Z–†5OQV.f_IH#TiOYZ„^V_X%6„Z ` V_DGI[ZGIdPV ^WOQZGwASQI›9\mX5OYZsV_^.VWXƒX5GV_TiOYZ  ˆ ! TiZ `  ˆ ! — žVI+TAcnD ^’VWI\7†PVWDGIŽX5\GVWOYHT5S–TiSYSQX]c+T'VWOYX5ZJB‰Xiˆc-Xs^bV TG.OY^^WOYHƒ\„SQa c-XAH\GR]VWI ` R„^’OYZGwƒVWD„I[][X5fWVWDG›0W I+^’V X5f_ZGIflRGSYI5—gžk^‡IŽ^_TiO ` †PV_DGITiSYSQX]c+T'VWOYX5Z \GSUTiZ cT5Z mI‹POQI+‡.I ` TA^ET ‘’\„T'V_DOQZV_DGILH#TiVWf_Oœds“PB‰X5f™T#w5I+ZGIfnTiSYOVUI ` ` OUTiwAX5Z„T5So; <LG¶—CEDGIZGI-dPV\vT'VWD OY^[VWDGI+Z ^’OYH\GSYa ` I ` R„cI ` ˆ‰f_X5H VWD„I ˆ‰XAfWHI+fXAZGI*V_DGf_X5RGwAD T ‘’^WDGOQˆ°Vb“ X5ˆ™^WX5HI X5ˆOQV_^\„T5f’Vn^7B>^’I+I76vw5RGf_I   TiZ ` r]†.‡DGIf_I XAS ` \„T'V_D„^Tif_I ` I?^’OYw5ZGI ` ‡OQVWD \mX5OYZsV_^+†G‡DGOYSQIŽZGI+‡;XAZGI+^T5fWI ` I+^WOYw5ZGI ` ‡OQVWD^ A RvTif_I+^

(215) G¶—  V[OY^E\mXA^_^WOQGSYI™VWXVnT?5IT ` ‹'TiZsV_T5w5I e` .

(216) . . . . .

(217) . . . XiˆVWD„OY^^WOQH\GSYI^’VWf_R„c¶V_RGfWI™V_Xzc-X5H\GRGVWI™VWDGIcX5f_fWI?^’\mX5Z ` OQZ„wZGI+‡ \„T5OQfX5ˆ^WOYZGw5SYI-› \vXAOQZsVn^— W DGI+ZVWDGI cXA^’V*H#T'V_fWOQd OU^*T  ª  c-XA^’V’› H#T'V_fWOQdš†.‡I ` I+ZGXiV_I3Pa VWD„I ‘’OQZGOQVWOUTiSYOVU+T'V_OQXAZ ^bV_I\P“VWD„I f_I ` R„c-VWOYX5ZV_X T ^ sR„T5fW7I B ª JG[H#T'V_fWOQdš†vO9— I5—™VWDGIc-XAH\GR]V_TiVWOYX5Z„^kXiˆÌVWDGI"6„fn^bV  ±  ^WOQZGwASQI›9\mIfn^WX5Z„^+— CEDGI+X5f_IH#^[Jv— O TiZ ` JvH— 8#IZ„^WRGf_IV_D„T'V™VWDGILˆ‰X5SYSQX'‡OYZGw TiSYw5X5f_OQVWDGH c-XAHƒ\„R]VWI?^[V_DGIƒ^WX5SYR]V_OQXAZ3XiˆgV_DGIƒ‡.I `G` OYZGw \Gf_X5GSYIH T5Z ` VWDGI^WX5SYR]VWOYX5ZX5ˆ VWDGI  VWD ^WOYZGw5SYI-› \vI+f_^WX5Z\„fWXAGSQI+H B OœˆÌVWDGI+fWIOY^kZGX*‡ET5^’VWIˆ‰RGZ„c¶V_OQXAZ Œ †mT5Z ` VWD„IZ ZGX#^bV_X5\G\„OQZGw#^’VWI+¬\ 3SG¶— ®7®•¹ÎmÏ Ï-Å Ð.

(218) J. ,•žm,+. MsV_I\Z 

(219)  „B‰f_I ` R„c-VWOYX5Z VWXzT^ ARvTif_IkH#T'V_fWOQdtG¶— MsV_I\37r Z!"$#%&'()*+-,. /#10

(220) 2*3 MsV_I\ 3ŸZ45$#6879:#7;9<*=>3  ˆVWD„OY^[cXA^’VOY^EZGXAZ]› ZGIwsT'VWOY‹5IA†sVWDGI+Z ^’VWXA\–—  ˆZGX5V+†GwAX„TA

Références

Documents relatifs

R´ esum´ e : On pr´esente des r´esultats autour du probl`eme suivant: pour un point mat´eriel dont l’acc´el´eration est born´ee par une constante donn´ee, et pour un

Ensuite, pour déterminer lesquelles des voix créées pouvaient être qualifiées d’« androgynes », nous avons fait un test de perception dans lequel nous avons demandé

Toutefois, des améliorations sont à prévoir car bien que la protection induite par ces glycoconjugués soit significative, elle n’est cependant pas optimale pour mettre

L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des

Venant compléter les nombreux guides spécialisés qui informent le touriste gay sur les différents lieux et structures qu’il pourra fréquenter s’il recherche son

L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des

[…] Chez nous, le parterre […] est composé communément des citoyens les moins riches, les moins maniérés, les moins raffinés dans leurs mœurs ; de ceux

But on another hand, increasing q at constant operative pressure results in decreasing the equilibrium pressure, by decreasing the operative temperature (Figure 9), and finally, it