(1)Sur un théorème de limite conditionnelle Adnan Aboulalaa. To cite this version: Adnan Aboulalaa. Sur un théorème de limite conditionnelle. [Rapport de recherche] RR-2389, INRIA. 1994. �inria-00074286�. HAL Id: inria-00074286 https://hal.inria.fr/inria-00074286 Submitted on 24 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. Sur un the´ore`me de limite conditionnelle. Application aux syste`mes de capacite´s finies Adnan Aboulalaaˆ. N˚ 2389 Novembre 1994. PROGRAMME 1 Architectures paralle`les, bases de donne´es, re´seaux et syste`mes distribue´s. ISSN 0249-6399. apport de recherche. 1994.
(3)
(4)
(5)
(6)
(7)
(8)
(9)
(10)
(11) % $&
(12)
(13) $
(14) ! ()
(15) $+*,
(16) $ ! #" $&' -.0/213/4-#57698;:<13:=1?1)> @ A0BDCFEGBIHKJLJ(M(N!O P)BDQSRUTWVIMXQYVIZ[BDMX\]^H_BIH`a`cMYb `dMe\Xf[ghH_\IMX\ji[Mi[CGk[k2MXl MX\efhBmMXl \IMH_Zmn MYV!\DoU\DVXMXb J(MX\?iUTd\DVIB=Tdg[Z2MXl \ ApBDCKqDMYV!rtsSuFv!wjPyx w!HK][]zCFB=V?i{MBDMXQ|R[MXBDQ|R{M}k~ GGFO C GMeJg[BDM NFKO G]^HKEGMe\ l V|HKkFVi[CGk[k2Ml QXCG]UTMX\Tdk[i2MXl ]MXk[ihH_kGVIMX\U eXX i¢¡£Z[k][BDCUQXMX\I\IZ{\!i[M\|HKZUVI\¤H b _H`MXZ[BD\)i^HKk[\)Z[k#MX\I]^HKQeMyi¢¡=MYl V|HVI\¥^kUTcf3CGk¦MYl VIZ[imTMy`§¡=MYl FCK`ZUVDTdCGki¢¡¨Z{k]{BDCUQeMX\I\©Z[\?V§oU]MQXCFk{iUTWVDTdCGkUª k[MY`a`MXJ(MXkFV«H¬b Z[kM®l ;MXl k[MXJ(MXkFVi[ZV§o{]zM°¯FNK±Y² ³W ´ hµ&¶ ®³ ·y¸¹»º}¼½ =¾3¿ ¸ÁÀàDÄjÅ§Æ `dCFBD\IÇZ[M VIMXk[i FMXBD\0`§¡ÈTdkU¥^kUT ¶ MXkÉcHTWV;CFkQXCFk{\DTi2Mel BDMXBIH)i[MX\MYl ÊMel k{MeJ(MXkGVI\;ÇmZmT^\ICGkFV0][BDCUQ|R{Me\;i[M QeMji[MXBDkUTdMeB ·IË sÌ` \e¡ÍH_EKTaVi¢¡£Z[k[M7M|nmVIMXk[\DTdCFkH_ZQH_\Îi{ZVIMXJ(][\0JLCGgUTa`M2i{Z«¡£][B=Tdk[QYT]zM7i[M7QXCGk[iUTaVDTCGk[k[MXJ(MXkGVpi[M!Ï?Tg[g{\e¡ Ë Ð M(][B=Tdk[QYTd]M(MX\DVHK][]U`aTÇZ2Ml HLb `§¡=MYl VIZ[i[M i¢¡£Z[k\DoU\DVXMXb J(M(iUTd\I]CG\|HKkGVyi{MÒÑVÌoU]zMX\i[M(BDMX\I\ICGZ[BDQXMe\Xf3MXk ÇZ^HKkFVDTaVUMXl \?¥hkUTMX\efh]hH_B=V|HKEMXl MX\7]^HKB!ÓQY`aTMXkGVI\ Ë ÔÖÕ{× YØIÙGÚ Û x¢C_Tj`WTdJTWVIMQXCGk[iUTaVDTCGk[k[MY`a`M_f EFBIHKk[i[MX\ i2MYl TÜHVDTdCFk{\ef;TdkUÉÝCGBDJ HVDTdCFkÞi[MßZU`a`ghH_QSàzf ][RGoU\DTdÇmZ{M\DV|HVDT\<VDTÇZ[M_f{][BDCUQXMX\I\IZ[\ji[M\|HKZUVI\?QXCGkFVIBIHTdkFVI\Xfh\DoU\DVeMXb JLMX\Hb QHK]^HKQYTWVUMXl \2¥^kmTMX\ Ë áâã§äDåçæéè®ê<åWëGìGåWí§î @KïÎñzð òDóSôöõp÷[óSô¨øXùÌõDò§úûüöýXþõõ=ùÎñÿñ |ü¨ô
(17) FóYþô Sô õDûÝù . Unite´ de recherche INRIA Sophia-Antipolis 2004 route des Lucioles, BP 93, 06902 SOPHIA-ANTIPOLIS Cedex (France).
(18) . LÞ +2
(19)
(20) $0$ $Î%$Î
(21) $. . ! . × Ù × Ð FC k{\DTi{MeB0 Tdk[i[MX]zMek{i^H_kGV;QXCF]UTdMX\ XXX CKÉ¢HrHKBDà_C ?qDZ{JL](][BDCUQXMX\I\IMX\ ?TaVIR ¥^kUTaVIM \DV|HVIM(\I]^HKQeM_f 7 M \DVIZ[imoVIR[M(`WTdJTWVDTdk[E#gzMeRhHX TCGBC_É?H«V§oU]UTQH`2][BDCUQXMe\©\ef9\SHXo fE_Ta FMXk H QXCFk{iUTWVDTdCGk`aTàKM!¯N±Y ² ³W ´ µ9¶ ³ ·2¸¹ º¼ ½ <¾¿ ¸ À£Â <Ä?ÅcÆ ¶ TkyÉcH_QYV 7 M
(22) j TW`a`UQeCGk[\DTdi[MXBÎQXCGk[iUTaVDTCGk[\ !RmTQSR°HKBDM QY`dCF\©M!VICVIR[M)`ÜHK\DV7CFk{M ·IË v?RUTd\7Td\?H][BDCUQXMe\©\2 FMXBD\DTdCFkÒC_ÉHBDMX\IZU`ÜHV RUTdQ|R Td\7QH`W`dMXi VIR[M ÏTdg[g[\jQeCGk[iUTaVDTdCFkUTdk[E(][B=Tdk[QYT]m`M Ë vjRUTd\?][B=Tdk[QYT]m`MTd\!HK][]U`aTdMeiÒVICVIR[MH_khH`aoU\DT\ C_ÉpH\DoU\DVIMXJ RUTQSR R^HK\?\IMY GMeBIH`ÎàGTk{i[\?CKÉpBDMX\I\ICGZ[BDQXMX\7\IR^HKBDMXi¬gGo»VIBIH Q\ICGZ[BDQXMX\ Ë. Pru#NF{NuZ[gUqDMXQYV Ð `ÜHK\I\DTa¥^QHVDTdCFk
(23) !#"%$'& ()& * , +3.Ø - Õ / G Ð CFk{iUTWVDTdCGk^H`0`aTJTaV` H0f` HKBDEFM(i[MY TÜHVDTdCFk{\efÎß ZU`W`dg^HKQ|àtTdkUÉÝCFBDJ HVDTCGk¢f&\DV|HVDT\<VDTQH` ][RGoU\DTdQe\XfKqDZ[J(]°][BDCUQXMX\I\IMX \ jTWVIRtQXCFk{\DVIBIHTdkGVI\efm`CG\I\j\DoU\DVIMXJL\ Ë.
(24) .
(25) !#"%$&"'(
(26) )
(27) " *. +. ; # e . x9M][BDCGgU`cMXb J(M)i[Z QXCFk{iUTWVDTdCGk[k[MXJ(MekGV?HKZ[ÇZ[MY`¢CGk \e¡ÈTkGVUMXl BDMX\I\IMjTQYT3\IM]CG\IM?i{M!`ÜHJ HKkUTcMeb BDM\IZUTa _HKkFVIM CGk\IM7i{CFk[k{M2Z[k[M7\IZmTWVIM7i{M2 _H_B=TÜHKgU`MX\T Ë T Ë i ¶ ³ · ³-,'. / Hjb _H`dMXZ[BD\pihH_k[\Z[kMe\©]^H_QXM#0 f`dM7]U`dZ[\0EMXl k2MXl BIH` ]zCF\I\<TgU`dM Ë Ð R^HKÇZ[M; ³ ]MXZU2V MY1 VIBDM2 UZ[M7QXCFJ(J(M2BDMX][BMXl \IMXkGV|H_kGV0`§¡=MYl V|HV0i¢¡¨Z{k[M7]^HKB=VDTQXZU`dM ¶3 · i¢¡£Z[kEmH 4 Ë 5 k«Q|R[MXBDQ|R{M¤H`CGBD\2`ÜH`CKT9i¢¡¨Z{k[Mi[MQXMX\7 _HKB=TÜH_gU`dMX\?\ICGZ[\jZ[k[MQXCGkFVIBIHTdkFVIMyi[Z¬V§oU]M N ³ 6 ¹· 7¯ 8 ¶ ³W´ µ9¶ · ¸¹ Æ C9Z b µ 90;:< = f ¶ = MX\I]^HKQeMÒ`CUQH`MXJ(MXkGVÒQXCGkG FM|n{M°MXk EMel k2Mel BIH` ·IË µ9¶ ³ · ]zMXZUV \e¡ÈTkGVIMXBD][BMYl VIMXB QXCFJ(J(M`c¡=MXl k[MXBDEKTMi[M`ÜH(]^HKB=VDTQXZU`dM 3 MYV` H(QXCGk[iUTaVDTCGk#QXCFBDBDMX\I]zCFk{i,H(b Z[k{MQXCFkGVIBIHTkGVIM\IZ[Bj`§¡=MXl k[MXB=ª EKTME_`dCGg^H`dMi[Z'\DoU\DVeMXb JLM Ë P ZmVIBDMeJ(MXkGViUTaV `ÜH ÇZ[MX\DVDTdCGkMe\<Vyi{M¤QXCGk[k^H 1TWVIBDM` H¤`CKTpQXCGk[iUTaVDTCGk[k[MY`a`M ]^HKB¤BIHK][]zCFB=VtH b 6 ¶ ¹· i[M ¶ `dCFBD\©ÇmZ{M° VIMXk[i FMXBD\(`c¡ÃTdkU¥^kmT ·IË Ð M¬][BDCGgU`cMXb JLMtH¦MYl V{M l VIBIHTWVUM l ]^HKB >7H_\DTdQXMXà ¶ NF Âm·À @N ? Å MYAV >7HKk Ð H_J(]zMXk[R[CGZUVMYV Ð C GMeB ¶ NG[N ·À NX Å i^H_k{\i[MX\QH_\]^HKB=VDTdQeZmª `aTMXBD\efz]{ZUT\]^HKB Ð \DTd\B49H_l B ¶ NG_ ·YÀ Å i^HKk[\!Z{k[MEGBIH_k{i[MEMel k2Mel BIH`aTWVUM l Ë x9MBMXl \IZm`WV|HV MX\DV)ÇZ[MQXMYVDVIM`dC_T QXCFk{iUTWVDTdCGk[k[MY`W`dM)`aTJTaVIMMX\DV?CGgUVIMXkmZ{MMXk°J HnUTdJT\SH_kGV?Z[k{MQXMeB=V|HTdk[MMXkFVIBDCG]UTdM ¶ ªc`c¡ÈTkUÉÝCGBDJ HVDTdCGk¬i[M ßZU`a`dg^H_QSài¢¡£Z[k[M«][BDCFghH_gUTa`aTWVUM l ]hH_BBIH_][]zCGB=V°Htb `ÜHt`CKT7QXCFJ(JZ{k[M i[MX\ ³ · \IZ[BZ[k Mek{\IMXJgU`dM i[M J(MX\IZ[BDMX\!HKi2MXl ÇZ^HV Ë x9MEGBIHKk[i¬][B=Tdk[QYTd]Mi{MJÒHnmTJTd\|HVDTCGk¬i¢¡£MXkGVIBDCF]UTdMMXkt][RGo{\<TÇZ[M\<V|HVDTd\DVDTdÇmZ{MGf CGZ¬MXk°i3¡öHKZUVIBDMX\!i{CFJ HTk[MX\efmo VIBDCGZU GMHTdk[\DT9Z[ktQXMXB=V|HTdk ÉÝCGk[i[MXJ(MXkFV Ë Ð MX]zMXk[i^HKkFV)`dMX\][BDCFgm`cMXb J(MX\Mek#VIMXJ(][\J(CGgUTa`Mk¢¡£CFkGVH_]{]^H_BDMXJ(MXkGVy]hH_\#MYl VUMl QeCGk[\DTdi2MXl BMXl \)i^H_k{\)`M ]^HK\I\UM l Ë x9M ]U`dZ[\\DTJ(]U`dM \IM ]zCG\IM i[M(`ÜH#JÒHKkUTcMXb BDM \IZUTa _H_kGVIM `dMX\ D³ C ³ <¿ ¸ À£Â <Ä?Å \ICGkGVi[MX\ ][BDCUQXMX\I\IZ[\ J HKBDà_C TdMXk[\ i[M#\|HKZUVI\Hb MX\I]hH_QXMti¢¡=MYl V|HVI\ ¥^kU!T E Tdk[i2MXl ]zMXk[i^HKkFVI\ÒM®V Tdi[MXkGVDTÇZ[MXJ(MXkGV iUTd\DVIB=Tdg[Z2MXl \)M®V`c¡¨CGk#\e¡ÃTdkGV{MXl BDMe\©\IM¤HKZ°QXCGJ(]CGB=VIMXJLMXkGV)i[M <¿ ¸Àà<Ä?Å QeCGk[iUTaVDTdCFk[k{M®`a`dMeJ(MXkGVLHLb Z[k MYl ÊMel k{MeJ(MXkGV i{Z V§o{]zM N ³ 6 ¹· 7¯ 8 ¶ ³W´ µ&¶ · ¸ ¹ ¾¿ ¸ À£Â <Ä?ÅcÆF µ FEG:< s£w ½ ÑHN `dCFBD\IÇZ[M i[MY TMXkGVEFBIHKk[i I ¶ ¹ MX\DV)Z[k#\ICGZ[\?MXk[\IMXJgU`MQXCFkG FMXk^HKgU`dMi[M s£w ½ MYV K Ä J  MX\DV?¥Un2M l ·IË Ð M ][BDCFgm`cMXb J(M?MX\DV0JLCKVDTa ÊM l ]^H_B&`§¡ÌMYl VIZ[i[Mji¢¡¨Z{kLJ(CUi3MYb `dM7i[M7\<o{\<VeMeb J(M7i{M?QXCFJ(JZ[kUTdQHVDTdCFk ¶ QYÉ Ë @L%NM · I Ta`H,Mel EH`MXJ(MXkFVj` H(OJ MX1 J(MTdkFVIMXBD][BMYl V|HVDTCGkMXk¬VIMXBDJ(Mi{M][RGoU\DTÇZ[M\DV|HVDT\DVDTdÇZ[MÇZ[MyQeMY`a`Mi2MXl QXB=TWVIM QYTWª§i[MX\I\IZ[\ QË P ki[MX\CGgUqDMXQ®VDTaÉÝ\i[M QXMVIBIHX _HTW`2MX\DVi¢¡ÍH_]{]CGB=VIMXBi[MX\'MYl `®MXl J(MXkFVI\i[M(BmMXl ]CGk[\IM#H«b QeMYVDVIM ÇZ[MX\DVDTdCFk Ë x9M(BMXl \IZU`aV|HVQeCGk[QXMXBDk^HKkFV`ÜHÒ`CKTp`aTdJ¤TaVIM QXCFk{iUTWVDTdCGk[k[MY`W`dM MXkVIMXJ(][\¥{n{M(MX\DVQXCGk[kZ\ICGZ[\`dMLk{CFJ i[M][B=Tdk[QYT]zM!i{M!QXCGk[iUTaVDTCGk[k[MXJ(MXkFV7i{MyÏTdg[g[\ Ë s§`¢HVIBDCGZU ;Ml i[MX\7H_][]m`WTdQHVDTdCFk{\ÊihH_k[\;i[MX\2i[CGJ HTdk[MX\ _HKB=T®MXl \ ¶ VIBIHTWVIMXJ(MXkFVi¢¡ÃTdJ H_EGMX\efzQXCGk[QXMe]mVDTCGRk >xuGs eX ·IË 5 kMek]{BDCF]zCF\©MZ[k[M(i^HKk[\`dMLi{CFJ HTk[M i[MX\?\<o{\<VeMeb J(MX\i[MQXCFJ(JZ{kUTQHVDTCGk Ë SS T ïBU ô WV YXSü¨ù[Zþ)ò Q\ ùcüöòDþô¨üöõ Zõô ]Zü ù ÝüþùcüöóYû üöòcóò Yûó®ûeüöýeþõ^'_®óSü ®þ Ýü. o[o ûqpsr l't e. Xù cóóòa` bGõ=ü¨ùÌóYþûüdcfe ThgjikTjlnm .
(28) . & M& . . M( MM . x9MX\JLCUi3M®b `dMX\?QY`ÜH_\I\<TÇZ[MX\?i{Me\\DoU\DVXMXb J(MX\?VIMY`d\!ÇZ[My`MX\BmMel \©MHKZmnti{MQXCFJ(JZ[kUTdQHVDTdCFk¢fhM E `dMX\!J(CKª 3i MYb `dMe\(i[MFHKQ|à\ICGkCFZ i[MtßMY`W`aoFf0]MXBDJ(MYVDVIMXkFV i¢¡£CGgUVIMXkUTB`dM¬BMXl EKTJ(M¬\<V|HVDTdCFk{k^HTdBDM ª§][Ë BDCFË ghH_gUTa`aTWVUM l TdkF _HKB=TÜH_kGVIM i3¡¨Z[k ][BDCUQXMX\I\IZ[\Òi[M rHKBDà_C BDMX][BMXl \IMXkGV|HKkFV«`§¡ÌMYl V|HVti[Z \DoU\DVeMXb JLMYª \ICGZ[\ Z[k{MÉÝCFBDJ(M M|n{]U`WTdQYTWVIM Ë Ð MX]zMek{i^H_kGV;`dM?QH`dQXZU`M 3MXQ®VDTaÉ9MYV imTBDMXQYV2i[M!QXMYVDVIM][BDCFghH_gUTa`aTWVUMl \DV|HVDTCGk[k^HTBDMjk¢¡£Me\<V ]zCG\Dª \DTdgU`dM ÇZ[M)]zCFZ{B;`MX\ ¡£]MYVDTaVI\e¡m\DoU\DVeMXb JLMX\ ¶ k{CFJg[BDM)ÉcHTdgU`dM!i{Mk[CUMXZ[i[\2MYV7i[M`WTÜHT\ICGk[\ · fHb QHKZ[\IMi[M` H QXCFJ(]U`YM|l nmTWVUMl QXCGJgUTdk^HVIC_TdBDMi[MX\jÉÝCFBDJZU`MX\ Ë Ð M]{BDCFgU`éMXb J(Mi{MQeCGJ(]U`®MYl nmTaV{Ml \IM#BDMYVIBDCFZU GMMXki[MX\ VIMXBDJ(MX\ ]^HKBDMYTW`d\¬MXk][RGoU\DTdÇZ[M\DV|HVDT\<VDTÇZ[M C9Z b `c¡£CFk Q|R{MeBDQSR[MMel EH`MXJ(MXkFV` HiUT\<VIB=Tg[ZmVDTCGk i[M¬]{BDCFg^HKgUTa`WTaVUMtl i[MX\,MYl V|HVI\¤i3¡=MXl ÇZUTa`WTdg[BDM#ÇZUT?]zMeZmª FMXkGV¤i{CFk[k{MeB `WTdMXZ`<H#b HKZ[\I\DTHtb i[MX\][BDCGgU`cMXb J(MX\i[M QXCGJgUTdk^HVIC_TdBDM ]CGZ[BQH`QXZU`dMXB` HÒÉÝCGk[QYVDTCGki[M ]^HKB=VDTWVDTdCGk Ë >2ZtQeMX\HKk^H`dCGE_TdMX\?MYV)`MX\)\IZ[QXQMXl \!BDMXJ(]CGB=VUMXl \]^HKB?`ÜH ][RGoU\DTdÇmZ{M¤\DV|HVDTd\DVDTÇZ[M_f^TW`MX\DVHK\Dª \I
(29) M 4k^HVIZ{BDM®`0i¢¡£MYnhHKJTk[MXB)`c¡=MYl GMekGVIZ[MY`a`M(ZUVDTa`aTWVUM(l i[MX\J,MYl VIR[CUi[MX\i[M` HÒ][RGo{\<TÇZ[M(\DV|HVDT\<VDTÇZ[M(i^HKk[\ `c¡=MYl VIZ[i[Mi[MX\EGBIH_k[i{\!\DoU\DVXMXb J(MX\i[MQXCGJ(JZ[kUTdQHVDTdCGk ËQP k#i[MX\][BDMXJTMXBD\)VIBIHX _HKZmn H`a`ÜH_kGV)i^H_k{\ QXM \IMXk[\ ¶ MYVÇmZmTpMXkH(Tk{\I]UTdBmM¤l i¢¡ÍHKZUVIBDMX\]^H_Bj`ÜH \IZUTaVIM¤QYÉ Ë M Ë E Ë
(30) À Å f À NGN Å f À N Å · MX\DV QXMY`dZUTpi[M 2MXk[M \ À N Å Ë s§`&i2Mel QXB=TaV2`MX\ MYl V|HVI\7i[Z \<o{\<VeMeb J(M)]^HKB2Z[k¬MXk[\©MeJgU`dM i[CGkGV2`MX\ MYl `®MXl JLMXkGVI\ «BDMe]{BmMel \©MekGVIMXkGV?`dMX\2BDMe\<ª \ICGZ[BDQXMX\7CUQXQeZ{] MXl Me\Hb Z[k Tdk[\DV|HKkGV?i[CGk[k2M)l MXk¬QSR^H_ÇZ[M Í]zC_TdkGVe¡Ui[Z«BmMXl \IMH_Z Ë P`CGBD\7MXk i2MXl \DTdEGk^H_kGV7]^HKB `ÜH(\ICGJ(JLMX\i[MVICGZUVIMX\`MX\BDMe\©\ICFZ{BDQeMX\CUQXQeZ{] MXl Me\ ¶ CFZÒ`Mk[CFJg[BDMVICKV|H`Îi[MX\yHK][]zMY`\jMek#QXCGZ[BD\ · `dCFBD\IÇZ[M`dM¤BMXl \IMHKZMX\DVi^HKk[\)`c¡=MYl V|HV &f3MYV]^HKB `ÜH ][BDCGg^HKgUTW`aTaV{MLl i3¡¨Z[k#VIMY`M®l V|HVef` H imT\DVIB=Tdg[ZUVDTdCGk i¢¡=MXl ÇZUTa`WTdg[BD M \IZ[ B MX\DV!CGgUVIMXkZ[MMXk°J HnUTdJT\SH_kGV?`c¡£MekGVIBDCG]UTdM ¶ · 7 : 8 !#" $% , \ICGZ[\7`ÜHQXCFkGVIBIHTkGVIMÇZ[M`dMV|H¥^QJ(CoFMXkti^HKk[\7`dMBMXl \IMH_Z«MX\DV?¥{nÊM l 8. , . ' 7 &. r#CoGMekhH_kGV!QXMX\?]zCG\DVIZU`ÜHVI\ ` HiUTd\DVIB=Tdg[ZUVDTdCFkti¢¡=Mel ÇZUTa`aTg[BDMMX\DV?i[CGk[k2MXl M]^HKB A7 + (*) ) + ¶-, · 7 8 , ) ) & 7 ( . !" . $/+ ¶ ( · , ¶( · ( VQeCGJ(J(M¤MXk#][RGoU\DTÇZ[M(\DV|HVDTd\DVDTÇZ[MCGZihH_k[\`dM¤J(CUi3MYb `dMi[M(ßMY`a`Wo«`M][BDCGgU`cMXb J(Mi[ZQH`dQXZU`i[M `ÜHÉÝCGk[QYVDTdCFk«i[M]^HKB=VDTWVDTdCGk°\IMBDMYVIBDCGZU FMi^HKk[\?QXMQH_\jQYÉ ËÀ N Å ]CGZ[B?]m`Z[\ji[Mi2MYl V|HTW`d\ Ë x9M J(CUi3MYb `dM¬ÇZ[MÒ`§¡£CFk ][BDCG]zCF\IMLTQYT?MX\DVg^H_\UM l \IZ[B`§¡ÈTdi MXl M¬\IZUTa _HKkFVIM pZ[k[M«JÒHKkUTcMXb BDM¬i¢¡=MYl _H`dZ[MXB`dMX\ ]zMeB=ÉÝCGBDJ H_k{QeMX\ ¶ CFZ«`MX\j]MXB=VIMX\ · i^HKk[\?Z[kt\DoU\DVXMXb J(Mi[MQHK]^H_QYTaV{M)l ¥^kUTdMMX\DV!i{MQXCFJ(]^HKBDMXB2`MyQeCGJª ]zCFB=VIMXJ(MXkFV¡È`WTdg[BDM_¡hi[MX\!ZmVDTW`aT\SHVIMXZ[BD\jT Ë M Ë `CGBD\IÇZ[M`dM\DoU\DVXMXb J(MH(Z[k{MQH_]^HKQYTWVUM)l TdkU¥^kmTMMYV`MyQeCGJª ]zCFB=VIMXJ(MXkFVQXCGk[iUTaVDTCGk[k[MY`0i[M¤QXMXZmnQYTp]^HKB)BIH_][]zCGB=VÒH¤b ` HÒQeCGkGVIBIHTdkGVIM¤i{MLQHK]^HKQ®TaVUMl ¥hkUTM Ë rH`dEFBM l ÇZ[MY`ÇZ[MX\7HKk^H`CGE_TdMX\ÎMXkGVIBDM!QXM?J(CUi3MYb `dM?MYV;QeMY`dZUT^i[0M 2MXk[M \ ¶ CFk(\e¡ÈTkGVUMXl BDMX\I\IMjk[C_V|HKJ(MXkFV2HKZLQXCGJ(]CGB=ª VIMXJ(MekGVJ HKQXBDCF\IQXCG]UTdÇmZ{MLi{Z\DoU\DVXMXb J(M MekÉcHTd\|HKkFVHKg[\DVIBIHKQYVDTCGki[M \|HLVICF]zCK`CGE_TdM · f3QXMXZmn QYTÊ\©CFkGV iU1T !MXl BDMXkGVI\ef;CGZUVIBDM«i[ZÉcHTaVLÇZ[MÒ`MX\Ti2Mel MX\(i[M«g^H_\©M k[M¬\©CFkGV(]^H_\`dMe\(OJ MX1 J(Me\Xf0]CGZ[B`MX\BIHTd\ICGk[\ U ÿ o U32.
(31)
(32) !#"%$&"'(
(33) )
(34) ". ?. \IZUTa _HKkFVIMX\ x9MBMXl \IMHKZ¬k¢¡£MX\DV!]hH_\i2MXl QXB=TWV]^H_Bji[MX\? _HKB=TÜH_gU`dMX\!BDMX][BMXl \IMXkGV|HKkFV)\IMX\?imT !MXl BDMekGVI\tMYl V|HVI\Xf[CGkt\e¡ÃTdkGVeMYb ª BDMX\I\IM]U`dZUV CK1 V HKZ°QXCGJ(]CGB=VIMXJLMXkGV?i[MX\ZUVDTa`WTd\|HVIMeZ{BD\ Ë 5 k][BDMXk[i MXk,QXCGJL]mVIM M ¢MXQYVDTW GMXJLMXkGV(` HtQXCGkFVIBIHTdkFVIM«i[M `aTJTaV|HVDTdCGk i{Me\BDMX\I\ICGZ[BDQXMe\ÇZUT?MX\DV BMXl MY`W`dMH`CGBD\?ÇZ[AM > Ë 2MXk[M \7][BDMXk[itQXCFJ(J(MQXCFkGVIBIHTkGVIMZ{k¬VIBIH¥^QJ(CoGMektQXCFk{\DV|H_kGV Ë ` HyVIMXQ|R[kUTdÇZ[Mi[M)J HnmTdJT\|HVDTdCFk i3¡¨MXkGVIBDCF]mTMÇZUTÎHK][]^HKBIHTaV2QeCGJ(J(M Z{k¬][B=Tdk[QYT]zM)i^HKk[\2`ÜHVIR2MXl CKª B=TdMi[M 2MXk[M \Xf[\©MBDM®VIBDCGZU GMi^HKk[\j`M]{BDCFgU`éMXb J(MÇZ¢¡¨CGk«VIBIHTaVIMXBIH(QeCGJ(J(MZ[ktBmMel \©ZU`WV|HV ¶ J HT\i^HKk[\ Z[ktQXCFkGVIM|nmVIMiU1T !MXl BDMXkGV ·IË 0kU¥^kCGk ]zMeZmV iUTBDM_fVIB®Meb \Ò\IQ|R2MXl J HVDTÇZ[MXJ(MXkFVefÊÇZ[Mt` H'i2MXl J H_BDQSR[M#i[M > Ë 2MXk[M \(QXCFBDBDMX\I]zCFk{i H b `c¡¨MXk[\IMXJgU`MtQH_k{CFkUTdÇZ[Mti[M¬`ÜH][RGoU\DTdÇZ[M#\DV|HVDTd\DVDTdÇZ[MH`dCFBD\(ÇZ[M«`MtJ(CUi3MYb `M«ÇZ[Mt`§¡£CFk ]{BmMel \©MekGVIM QXCFBDBDMX\I]zCGk[i Hb `c¡¨MXk[\IMXJgU`MyJ¤TdQXBDCUQH_k[CGkUTdÇZ[M ¶ H_Zt\IMXk[\ji[M À N Å ·IË SS. 9x Mt][BMXl \IMXkGV VIBIHX _HTW`)MX\DV CFBDEHKkUT\UM¬l QXCFJ(J(M#\IZUTaV Ë P)ZY CGk][BMXl \IMXkGVIMt`M#J(CUi3MYb `M#HKi[CF]mV{M°l ÇZUT ÉcHTWV`M«`aTMXk MXkGVIBDM¬`ÜHÇZ[MX\DVDTdCFk i[Z QXCGk[iUTaVDTCGk[k[MXJ(MXkGVÒMYV(`c¡=MYl _H`Z^HVDTdCFk i[MX\ ]zMeB=ÉÝCGBDJ H_k{QeMX\i[MX\ \DoU\DVXMXb J(MX\Li{M°QHK]^H_QYTaV{MXl \¤¥hkUTMX\ Ë Ð MXQYT!MX\DVTW`a`Z{\DVIBmM#l ]^H_B`c¡¨M|n{MXJL]m`M#i[MX\(BmMXl \IMH_Zmn,RUT®Mel BIHKBDQ|RmTÇZ[MX\ Ë x9 M Y MX\DV QXCFk[\SH_QXBM°l HKZmn ][BDCFgm`cMXb J(MX\Hb VIMXJ(][\ ¥{n{M ,C9Zb `dMe\( Ë H Ë ³ \ICFkGVH'b _H`dMXZ[BD\ i^HKk[\ Z[kMXk[\©MeJgU`dM¥^kmT Ë 5 k#oBIH_]{]MY`a`M`M(BMXl \IZU`aV|HV\IZ[B` HL`CKT;QeCGk[iUTaVDTdCFk[k{M®`a`dM`aTJTaVIM(i[M M®VCGk Tdk[iUTdÇmZ{M i3¡öHKZUVIBDMX\7BMXl \IZU`aV|HVI\2i{M QXCGkG FMXBDEFMXk[QXM Ë Ð MXZmnÒQYT\ICGkGV7Mek{\IZUTaVIM HK][]U`aTÇZ2MXl \H b `§¡£M|n{MeJ(]U`dM)i[MX\ \DoU\DVXMXb J(MX\2RUT®MXl BIHKBDQ|RUTdÇZ[MX\ Ë P Z © CGk MYl VIZ[iUTdM!`dMX\2][BDCGgU`cMXb J(MX\Hb VIMXJ(][\2J(CFgmTW`dM G`dMX\; ³ \ICGkGV2QeMYVDVIM ÉÝCKT\Îi{Me\&ÉÝCFk{Q®VDTdCGk[\H`®Ml HVIC_TdBDMX\ÎMYVÎ`§¡£CGk\e¡ÈTkGVUMXl BDMX\I\IMHjb `ÜH7`dC_TUQXCGk[iUTaVDTCGk[k[MY`a`M;`aTJTaVIM7i[M; <¿ ¸ Àà<Ä?Å \ICGZ[\Z{k[M¬QXCGkFVIBIHTdkFVIM«\IZ[B ¡Ã`c¡=Mel k{MeBDEKTdM J(CoFMXk[k[M_¡H#b QSR^HKÇmZ{M Tk{\DV|H_kGV Ë Ð M¬QHK\MX\DV¤gmTMXk MXkFVIMXk[i{Z ]U`dZ[\«TkGVUMXl BDMX\I\|HKkFV#J HTd\tMek QXCGkFVIBDMX]^HKB=VDTdM`dMe\tBMXl \IZU`aV|HVI\tQXCFBDBDMX\I]zCGk[i^HKkFVt\ICGkFVt]MXZ M|n{]U`WTdQYTWVIMX\ Ë 5 k VIBIHTWVIM#i¢¡ÍHKgCGBDi `dM°QHK\ i[MX\ Q|R^H 1Tk{Me\ i{M'rHKBDà_Ce S NtÇZUT ]zMXBDJ(M®V i{Mi{M® Tdk[MXB(` HÉÝCFBDJ(M i[MÒ` H#`dCKT?QXCFk[imTWVDTdCFk{k[MY`W`dM `aTJTaVIMMYl FMXkGVIZ[MY`a`Mti^HKk[\`M«QHK\VIMeJ(][\(QXCGkFVDTdkZ I;QXM«i[MXBDkUTMXB(QH_\MX\DV VIBIHTWVUM«l Mek J(CUiUTa¥HKkFV`®Mel E{MXb BDMXJLMXkGV(` HtÉÝCGBDJ(M¬i[MÒ`§¡ÌMYl ÊMel k{MeJ(MXkGV 6 ¶ ¹· f S F ICGk i{CFk[k{MeBIHt`dMX\ QH_BIHKQYV{MXl B=T\DVDTdÇZ[MX\?i[Zt][BDCUQXMX\I\IZ[\ \ICGZ[\7QXMYVDVIM`dC_T9`aTdJ¤TaVIM Ë. .
(35) #
(36)
(37)
(38) !"$#. 5 k QXCGk[\DTdi3MXb BDM)Z[k¬\DoU\DVXMXb J(M)ÇZUT9]CG\I\XMXb i[M)Ñ V§oU]MX\?i{M BDMX\I\©CFZ[BDQXMX\2MYV!HKZ[ÇZ[MY`&]zMXZU FMXkGV!HKQXQMXl i[MXB7 QY`WTdMXkGVI\ Ë Ð MX\?BDMX\I\©CFZ[BDQXMX\?\©CFkGV7`aTJTaV{MXl Me\MXk°k{CFJg[BDMi[M ! XaWa ! Z[kUTaV{MXl \!BDMX\I]zMXQ®VDTa FMXJ(MXkGV Ë uGTh`MX\2BDMX\I\ICGZ[BDQXMX\¤MYl V|HTMXkGV2TdkU¥^kUTdMX\2Z[k QY`WTdMXkGVÒM®l GC_`dZ[MXBIHTWV2i[MJ H_kU½ TéMXb BDMH`®Ml HVICKTBDM_fKTdi[MXkGVDTÇZ[M ¶ HKZmn · MYV?Tdk[i2MXl ]zMek{i^H_kGVIM ¶ i[MX\ · HKZUVIBDMX\ZUVDTW`aTd\|HVIMXZ[BD\Xfhi^H_k{\!Z[ktMX\I]^HKQXMi¢¡=MYl V|HV!¥hkUT E 7Ö¯&%(' XWaa %() Æ Ë 5 k \IZ[]{]CG\IM H_Z{\I\DT2ÇZ[M `c¡¨CGk iUTd\I]zCF\©MLi3¡¨Z[k{M ÉÝCFk{Q®VDTdCGk µ #E :< sÃw ½ ÇZUTHtb QSR^H_ÇZ[M M®l V|HV¤HK\I\ICUQYTdM `dMe\(ÇZ^HKkGVDTWVUMXl \ ZUVDTa`aT\UMXl MX\(i[MtQ|R^HKÇZ[M°BDMX\I\©CFZ[BDQXMX\ Ë x¢M¬QXCFJ(]zCFB=VIMXJ(MXkGVÒBMXl MY`!i{Me\(ZUVDTa`aT\|HVIMXZ[BD\ MX\DV o[o ûqpsr l't e.
(39) & M& . . M( MM . i[CGk[k2Ml ]^HKB7`dMXZ[B7QXCGJL]zCGB=VIMeJ(MXkGV M QXCFk{iUTWVDTdCGk[k2Ml ]^HKB2`dMÉcHTaV?ÇZ[M`dMX\?BDMX\I\ICGZ[BDQXMX\7ZUVDTa`WTd\UMXl MX\ H(b Q|RhH_ÇZ[MTdk[\DV|HKkGV!k[M]MXZU GMXkFV)]^HK\?i2MXl ]^HK\I\IMXB®fhMXktÇmZhH_kGVDTaV{MGl f[`MX\BDMe\©\ICFZ{BDQeMX\jiUT\©]CGkUTdgU`MX\ Ë 5 k¬\IM ]zCF\IMH`dCFBD\2`dMX\!]{BDCFgU`éMXb J(Me\j\IZUTa _H_kGVI\ . Õ Ú
(40) { ' × U9. k \©Z[][]zCF\IMtÇZ[Mt`MX\ ZmVDTW`aT\SHVIMXZ[BD\ \©CFkGV BDMX][BMXl \IMXkGV{Mel \Ò]^H_B i{Me\L _H_B=TÜH_gm`MX\ T Ë T Ë i Ë eaaWa H b _H`MXZ[BD\i^HKk[\DEÞMYV!i2MYl ¥^kmTMX\?\©Z[B?Z[ktMX\I]^HKQXMi[M][BDCGg^H_gmTW`aTWVUM l ¶ « sÃA ·IË 5 k°]zCG\IM s£A ¶ ³ 7% · 7 xÎHQXCFk{iUTWVDTdCGk¬i[M`aTdJ¤TaV|HVDTCGk°i{Me\jBDMX\I\ICGZ[BDQXMe\j\e¡=Mel QXB=TaV 8 ³ ·7¸¹ ' ¹ ']7 ½ Àà! Å º sÃw ½ 9 µ ¶ ³W´ I´ x9MQXCGJL]zCGB=VIMeJ(MXkGV!BMXl MY`Îi[MX\?ZUVDTa`aT\|HVIMXZ[BD\Me\<V!i[CGk[k2Ml ]^HKB 7sÃA ¶ ³ 7% 8 µ9¶ ³ · ¸¹ ' · ³W´ 0k¬]^HKB=VDTdQeZm`WTdMXB;`§¡£MX\I]2MXl BIH_k{QeM)i[M`ÜHÇZ^HKkGVDTWVUMl i{M BDMX\I\©CFZ[BDQXMX\2ÇZ[Mi[MXJ H_k{i[MXkFV2`dMX\7ZUVDTa`WTd\|HVIMXZ[BD\7MX\DV ³ 8 7 8 % · D · · ¶ ³W´ µ9¶ ´ ' µ&¶ ¶i[CGMk BDMXH \I\©OJ CFZ[MX1 J(BDQXM°MX\7NB±YMXl MY`W`d² MXJ(³a ´ Me kGµ9V)¶ ZU VDTa³ `W·DTd·\UMXl :M< MX\DV ² ´ ' µ&¶ % · sÃA :! # "_ · MYV`§¡£MX\I]2MXl BIH_k{QeMi[M`ÜH ÇZ^HKkFVDTaVUM l ³ ³ 8 8 8 % ' 7 ¶ ³W´ µ9¶ · ³W´ µ&¶ · ¸'¹ · ´ ' µ9¶ · 5 kM®l V|HKgU`aTBIH(Z{k°BMXl \IZU`aV|HV!i[M)V§oU]MQeCGkG FMXBDEGMek{QeMMXkt][BDCGg^H_gmTW`aTWVUM l \ICGZ[\ `MX\?QXCGkGVIBIHTdkGVIMe\ · ¶ N 8 ³ : < 8 ) % ³a´ µ9¶ · ´ ' µ&¶ · ][BDCG] N C9Z b A7Þ`WTdJ fm][BDCG] N N CFk{Q?`ÜHi2MYl VIMXBDJTkhHVDTdCFk«i[MX\7][BDCGg^HKgUTW`aTaV{M l QXCGk[iUTaª VD¶ TdCFk[k{M®Ë `a`dMeË \ Ë Ë · i[CGk[k[M#i[MX\ BD MXk[\IMYTdEFk{MeJ(MXË kGVIË \ Ë TdkF%Ë VU$ MXl BDMX\I\|HKkGVI\ \IZ[B(`dMX\ ]zMeB=ÉÝCGBDJ H_k{QeMX\ i{Z\DoU\DVXMXb J(M Ë Ð MQH_\)]zMXZUV\e¡ÍH_][]m`WTdÇZ[MXB MXk]^HKB=VDTdQeZm`WTdMXBH_Zmn][BDCGgU`cMeb J(MX\i[MX\HKQeQzMXl \)QXCFk[QXZ[BDMXkGVI\ H b Z[kTk[\<V|H_kGV i[CGk[k2M l Ë U '& Î ( $ HKk[\VICFZUVIM`ÜH \IZUTaVIMCFk]zCF\©MeBIH ! ³ 7}* ) ³ 3 7 N XeX . I Li{C_TaV M®1 VIBDM UZ[M QXCFJ(J(M Z[k[MÒMe\<VDTJ HVDTCGk,HK\DoUJ(]UVIC_VDTdÇZ[M i[M ÇZUT7i2MXl ]MXk[i{BIH°i{Me\+) ³ Ë 0kU¥^k `§¡ÌMYl ÊMel k{MeJ(MXkGV ]^HKB7`dMXÇmZ{M®`ÎCGk¬QXCGk[iUTaVDTCGk[k[M\X¡=MXl QXB=TBIH(i2Mel \©CFBDJ HT\ N ³ 6 ¹· 7¯ 8 ¶ ³W´ µ&¶ · ¸'¹ ÆG ¹ 7 © ´ ½ À£Â )-, Å º sÃw ½ 5. U ÿ o U32.
(41)
(42) !#"%$&"'(
(43) )
(44) ". . Õ Ú
(45) { ' × U Õ ÜÚ . 5 k ¥Un[M#Z[k TkGVIMXB= _H`W`dMi[MtVIMXJL]{\ 5 k\IZ[]{]CG\IMtÇmZ{M#`§¡=MYl FCK`ZUVDTdCGki[MX\ ZUVDTa`WTd\|HVIMXZ[BD\ MX\DV [i CGk[k2MXl M2]^HKBÎi[MX\Î][BDCUQXMX\I\IZ{\9 XWaW Àà<Ä?<¿ Å Ë ¸ Àà<Ä?Å Tdk[i2MXl ]zMek{i^H_kGVI\M®Vi[M2JMe1 J(M;`dC_Tcfi[CGkFV&`§¡£MX\I]^HKQeM i[MX\¬M®l V|HVI\Me\<V E!fhi2M®l ¥hkUT\\IZ[BZ[ktJMe1 J(MMe\©]^H_QXMi[My][BDCFghH_gUTa`aTWVUM l ¶ « sÃA ·IË s<QYTÎ`ÜH(QXCFk[imTWVDTdCFkti[M `aTJTaV|HVDTdCFkti[MX\?BDMX\I\©CFZ[BDQXMX\?\X¡=MXl QXB=TWV N ³ 6 ¹· 7¯ 8 ¶ ³W´ µ9¶ |· ¸ ¹ ¾¿ ¸ À£Â <Ä?ÅcÆ ¹ 7 I½ ´ Àà) Å º sÃw ½ MYV?`dMQXCFJ(]zCFB=VIMXJ(MXkGV?BmMXl M®`Îi{Me\ZUVDTa`WTd\|HVIMXZ[BD\?MX\DVi[CFk{k Ml ]^HKB7`ÜH¤]{BDCFg^HKgUTa`WTaVUM l \IZ[B ¶ · 7sÃA ¶ ¸ 6 ¶ ¹·D· x9Mg[ZUV#MYl V|H_kGVi¢¡£CGgUVIMXkUTB)i[MX\)TdkUÉÝCGBDJÒHVDTdCFk[\)\IZ{B!`dMQeCGJ(]CGB=VIMXJ(MekGVi[M \ICGZ[\` HÒ][BDCFghH_gUTa`aTWVUM l `CGBD\IÇZ[M( VIMXk[i# GMeBD\)`c¡ÈTkU¥hkUT Ë 0kQeMÇZUTpQXCGk[QXMeBDk{M`dMX\ BDMX\I\©CFZ[BDQXMX\ZUVDTW`aTd\{MXl Me\Xfh`M][BDCGgU`cMeb J(M MX\DV?`dMJ MX1 JLMyÇmZ3¡¨MXk«VIMeJ(][\j¥{n{M Ë. . ! . v MXJ(][\¬J(CGgUTa`M 5 k\©Mi{CFk[k{MZ[kBMXl \IMHKZRUT®MXl BIH_BDQSRUT\UMl \IZ[B iÞkUTW GMH_Zmn Ë AH_B«MYn{MXJ(]U`dM#`M BMXl \IMH_ZtVIMY`dMe]{R[CFkmTÇZ[M(C9Z¬b `c¡£CFk#VIBDCGZU FM`dMX\yHKgzCFk[k2Mel \ MXkk[CGJg{BDMLÁVIB®MXb \EFBIHKk[i H_Z#kUTa FMHKZ f `dMe\;QXMXkGVIBDMe\0`dCUQH_ZmnLH_Z(kUTa FMHKZtNGfK`dMX\;QeMXkGVIBDMX\)Hb H_ZmVICFk[¶ CGJTMji¢¡ÍH_QSR[MXJ¤Tdk[MXJ(MXkFV ¶ Ð P · P · H_Z(kUTa FMHK Z Uf&`MX\QeMXkGVIBDMX\¤i{M VIBIHKk[\DTaV¤\IMXQXCFk{i^HTdBDMX\ ¶ Ð v u · H_ZkUTa FMHKZ UfMYVLMXkU¥^k `dMe\QXMXkFVIBDMX\i[M VIBIHKk[\DTaV ][B=Tdk[QYT]hH_Zmn ¶ Ð v!A ·IË s=Q®T0CFktÉcHTWVHKg[\DVIBIHKQ®VDTdCGk°i[M`ÜHVICF]zC_`dCGE_TdMi[Z#BMXl \IMH_Z#MYVCFk#\IMyi[CFk{k[M\IMXZU`dMXJ(MekGV)`dMk[CGJg[BDMi[M BDMX\I\ICGZ[BDQXMX\¤]^HKB(kUTa FMH_Z 0Z[kHK][]zM®` `CUQH`7k MXl QeMX\I\<TWVIM«\IMXZU`MXJ(MXkGVLZ[k QHKk^H`7iUT\©]CGkUTdgU`M«i^HKk[\`M QXCFJ(JZUV|HVIMXZ[Bi[MkUTW GMH_Z NLfzCGk°\IZ{][]CG\IMÇZ¢¡ÈTa`Îo°MXk#H ) HKZ¬VICKV|Ha` IhZ[kHK][]zM®`9TdkGVIMXBDk^HVDTdCGk^H` k[MXQXMX\I\DTaVIM?`c¡¨ZmVDTW`aT\SHVDTdCFkÒi¢¡¨Z{k QH_k^H`¢HKZ kUTa FMHKZNGfFZ[k QHKk^H`zi[Z kUTa FMHKZ¬MYVIQ ËaËWË 2BDMYÉÎCFk \©Z[][]zCF\IM ÇZ¢¡H(b Z[k[MQXCGJLJZ[kUTdQHVDTdCFktQXCFBDBDMX\I]zCGk[i°Z{k°kUTa FMHKZ¬TM®VÇZ¢¡¨MY`a`MyZUVDTW`aTd\IMZ[k{MZ[kUTaV{Ml i[MyBDMe\©\ICFZ{BDQeM i[MQ|R^HKÇZ[MkUTW GMH_Z , 3 Ë uC_TaV* ) XWaW * ) )`dMe\ÇZ^HKkGVDTWVUMXl \EK`dCFg^H`dMe\i[MBDMX\I\ICGZ[BDQXMe\)i[MQ|RhH_ÇZ[M kUTa FMHKZ°i[CGkGV!iUTd\I]zCF\©M!`dMBMXl \IMHKZ Ë l ]^HKB7Z[kÒ][BDCUQXMe\©\IZ[\ P k¬HKgCGk[k2M l ³ 3 iUT\©]CG\|HKkFV2i[M)VICGZUVIMX\2`dMX\?BDMX\I\ICGZ[BDQXMX\2ÇmZ3¡ÃTa`3ÉcH_ZUVjMe\<V7BDMe]{BmMel \©MekGVUM i[Mt\|HKZUVI\ Hb MX\I]hH_QXMX\¤i3¡=MYl V|HVI\ E 7 &¯ %(' XaWa %() Æ I;QXMX\(][BDCUQXMX\I\IZ[\(\ICGkGVLTdk[i2MXl ]zMXk[i^HKkFVI\ MYV i[M J MX1 JLM`dC_T Ë s§`pCUQXQXZ[]My`§¡ÌMYl V|HV)i[MBDMX]CG\ %(' ¶ C9Ztb Ta`k[MQeCGJ(JZ[kmTÇZ[M]^HK\ · ]zMXk[i^HKkGVyZ{k[M¤i{Z[BmMXl M ' ][ZUTd\2]^HK\I\IMH!b `§¡=MYl V|HV %
(46) HN ¶ `c¡öHKgzCFk[k2M?l MX\DV2MXkLQXCGJ(JZ[kUTdQHVDTdCGk M®V2ZUVDTa`aT\IMj\DTdJZU`aV|H_k2Mel J(MXkGV7Z[k[M Z[kUTaVUM l i[M(BDMX\I\ICGZ[BDQXMX\i[MX\kUTa FMH_Zn N XXe
(47) · C9Z°b Ta`2BDMX\DVIM(Z[k[M(i[Z[BMXl M ][ZUTd\BDMY mTdMXkGV¬H b %('
(48) IÎQXMX\ i[Z[BMXl MX\\ICFkGV?i{Me\j Ë H Ë M|n[]zCGk[MXkFVDTdMY`W`dMX\ XX 5 k«][BDMXk[iH`dCFBD\jQeCGJ(J(MEMXl k2MXl BIHVIMXZ[B7i[M ³ ¶ %(' % · 7
(49) HN ¶ % %(' · 7
(50) HN o[o ûqpsr l't e.
(51) . & M& . ¶ % % · 7 Â \<T
(52) 7 Ñi^HKk[\7`dMX\!HKZUVIBDMX\!QHK\ xÎHQXCFkGVIBIHTkGVIMi{M`WTdJTWV|HVDTdCFkti[MX\?½ DB MX\I\ICGZ[BDQXMX\H(b Q|RhH_ÇZ[MkUTa FMHKZ°\X¡=MXl QXB=TWV 8 N )) ´
(53) *) ) 8 N , . . M( MM . ¶N·. Xe 8 N , *) . ]zCFZ[BVICGZUV ¿ ¸¦ÀàÀ ª?]zCGZ[B)i[MX\ BIHTd\ICFk{\!VIMXQSR[kUTdÇmZ{Me\yCFk#][BDMXk[i[BIH«]U`dZUV CK1 V ¾¿ ¸¦ÀàDÄjŧ<Ä!" QYÉ Ë © xp¡=M®l ;MXl k[MXJ(MXkFV 6 ¶ ¹· VIBIH_i[ZmT\|HKkGV?`dMÉcHTWV?ÇZ[MyQeMX\jQeCGkGVIBIHTdkGVIMX\!\ICGkGV?\|HVDT\<ÉcHTaVIMX\?\e¡=MXl QeB=TaV ) N ³ 8 6 ¹· 7¯ 7 ) EG:< ¼ ) ³ ¾ ¿ < ? Ä c Å F Æ c Å 7 · ¸ ¹ ¸ £ À  ¹ £ À  ¶ 9 µ ¶ µ ³a´ ' µ9¶ %(' · 7 ¶  XXXX · µ9¶ % |· 7 ¶ N  eXXX Âm· µ9¶ %$# · 7 ¶ N N  XXX® · eXX µ9¶ %() · 7 ¶ N XXX N · C_VICGk[\jÇmZ{M`§¡£CGk°Hi2M=l qIH ¶ ³ 7%(' 6 ¶ ¹·D· H ¶ ³ 7%(' · ¶i[ ÊM MXl B=BDTWMX¥^]zQCFH\VDTQeCGCGkk[ÉciUHKTaQYVDTdTWCF`dM k[·Ik{Ë M®Ð `a`dCGMeJ(J(J(MXkGMVLTaHK`pZm\InMi[QXCGCKkFTWV)VIBI`ÜHH TdkF][VIBDMXCG\g^MeHK\<gUVTa`W]UTaV{`dM¤Z[l \¤]zCGEGZ[BIHKB)k[Çmi[Z3M ¡¨Z[Çk Z[M H_gzQXCFMY`Wk{`dk M Ml QXCF\ICKBDBDTaVyMX\Iih]zH_CGk[k[\)i^HK`c¡=kFM®l VV|HH bV i[MX\?BDMX\I\©CFZ[BDQXMX\7TdkU¥^kmTMX\ Ë. U '& Î P k[MJ(CUi2MYl `aT\SHVDTdCFk#\DV|HKk[i^HKBDi#i[M` H \<TWVIZ^HVDTdCFkMX\DV` HL\IZUTa _H_kGVIM Ë 5 kQXCGk[\DTaª i3MXb BDM . CGBDEmHKk[MX\)i[M\IMXB= TdQeMX\ XaWa ) ¶ ÇZUTÊBDMX][BMXl \IMXkGVIMXkGV`MX\)BDMX\I\ICGZ[BDQXMe\)i[MX\)ikUTa FMHKZmn ·IË x9M TaªIMXb J(M CFBDEH_k{M H°Z{k[M QH_]hH_QYTaV{M l i[M 6 ³ \©MeB= GMXZ[BD\ Ë P b `c¡¨MXkGVIBmMXl M¬i[M TW`2oH°i{Me\ . V§o{]zM¬i{M&%^Zmn i¢¡ÍH_BDB=Ta ÊMXl Me\;]zC_Td\I\ICGkUTdMXk[k[MX\pi3¡ÃTdkGVIMek{\DTWVUMXl \ ( XWaa ( ) Ë x9CGBD\IÇZ¢¡¨Z{kLQY`aTMXkGV2i[M7V§oU]M)Ñ(H_BDB=Ta FMHb f_\IC_TaV Ta`ÎVIBDCFZm FMi{Me\\IMXB= FMXZ[BD\j`aTg[BDMX\)\DTdJZU`aV|HKk MXl JLMXkGV)i^H_k{\ XXX MYV H`CGBD\?Ta`ÎCUQXQXZ[]MyZ[k°\©MeB= GMXZ[B i[MQSR^HKÇmZ{MkUTa FMH_Z 3 3 Ѭ]zMXk[i^HKkFVZ[k[Mi{Z[BmMXl M Ë H Ë M|n{]CGk[MXkGVD½ TMY`a`Mi{M]^HKBIH_J«MYb VIBDM ][ZUTd\?`dMX\ `aTg3MXb BDMMXk[\©ZUTWVIM_fz\©C_TaV7Ta`9VIBDCFZU GMÇZ¢¡£Z[k#CFBDEHKk[Mi[M\IMXB= TdQeM ³ 3 ѬMX\DV\|HVIZ{BmMl MYV i^HKk[\j½ \IMQH_\ TW` MX\DV¬M=l qDMXQYV{Ml i[Zt\DoU\DVeMXb JLM Ë xp¡=MYl V|HV i[Z \DoU\DVeMXb JLM#]zMXZUV°H`CGBD\ MY1 VIBDMBDMX][BMXl \IMXkGVUMl ]^HKB Z[k ¶(' XXe ' ) ·¸ s£ ) C9Z b ' ³ Me\<V `M k[CGJg[BDMi{M QY`aTMXkGV?i^HKk[\ ³ H b `§¡ÈTk{\DV|H_kGV ¿ Ë Ð ¡£MX\DV7Z[k ][BDCUQXMX\I\IZ{\2i[M\|HKZUVI\2i[CGkFV `M)EMel k2Mel BIHVIMXZ[B2MX\DV i[CGk[k2Ml ]^HK B X¶DaW¶ a eaeaaWa W ½ X) a· W a ) · :Þ ¶ N X*a) Wa N XWa:W N ½ ) N e aa½ + · 7eaa ·D· 7 " ( ½  " 3 6 6 XXWaaWW a  ½ 6 ½ 6 I ¶D¶ ¶ 7 ½ \DT 7 ½+ i^HKk[\7`dMX\ ½ HK½ ZUVIBD3 MX\?QHK\ ½ ½ ½ , Ë ¶ , ·  ¶ · U ÿ o U32.
(54)
(55) !#"%$&"'(
(56) )
(57) ". . 9x M][BDCGgU`cMXb JLMy\IMXBIHTaV!H`CGBD\?i[MyQ|R[MXBDQ|R{MeB ` H(J(MX\IZ[BDM)TdkG _H_B=TÜHKkFVIMi[MQXM][BDCUQXMX\I\IZ[\ Ë s§`ÊÉcHKZUVk{C_VIMXBÇZ[M QXM J(CUi3MYb `M(MX\DVMXl ÇZUTa _H`dMXkGV°Htb QXM®`dZUT2ÇZ¢¡£CFkH°HKi[CG]UV{M l \IZ[B`dM(]CKTdkFV\IZUTa _H_kGV `dMe\ ][BDCUQXMX\I\IZ[\ ³ BDMX][BMXl \IMXkGV|H_kGV(`MX\(QY`WTdMXkGVI\ Mek{EFMXk[i[BDMXkGV . %^Zn i¢¡ÍHKBDB=TW ;MXl MX\ ]CKT\©\ICFkmTMXk[k[MX\ HX GMeQi[MX\)i[Z[BMXl MX\i[M\IMXB= mTdQXMX\ M|n{]zCFk[MXkGVDTdM®`a`dMe\ Ë 0k M ¢MYV\DT Ä ³ Ñ ¸ sÃ4i2MXl \DTdEGk[MXkFV)`dMX\!Tdk[\DV|HKkGVI\ i[M«\|H_ZmVI\¬Htb `c¡=MYl V|HV %ti[M ³ f0CGk,CGgUVDTdMekGV(]CGZ[BQ|R^HKÇZ[M 3 MY½ V
(58) Z[k ][BDCUQXMe\©\IZ[\i{M¬AÎCKT\©\ICFki[M ]^HKBIH_J«MYb VIBDM : ¶ % % · ¶ ][ZUTd\IÇZ[M_fj]CGZ[B Z[kÞ][BDCUQXMX\I\IZ[\ i[M\SH_ZUVI\Xf;`dMX\ i[Z[BMXl MX\ i[M\UM=l qDCGZ[B i^HKk[\ `dMe\ M®l V|HVI\2 Td\DTWVUMXl \j\ICFkGV7i[MX\ Ë H Ë M|n{] Ë Tk{i MXl ]MXk[i^HKkGVIMX\ef{QeCGk[iUTaVDTdCFk[k{M®`a`dMeJ(MXkGVHyb ` H]CG\DTaVDTCGk i[MQXMX\ MYl V|HVI\ ·IË x&H?\IZ{]MXBD]zCF\DTaVDTdCFki{M2QeMX\&Tk[\<V|H_kGVI\Î]zCFZ{B9`MX\0 ][BDCUQXMe\©\IZ[\9i[CGk[k[M;`dM %^Zmni3¡öHKBDB=TW ;MXl M2EK`CGg^H` i[M)V§oU]M
(59) i¢¡ÈTkGVIMXk[\DTaVUM l ( 7 :) ¶ % % · ¶ `dMX\7 ³ \ICFkGV7Tdk[i2MXl ]zMXk[i^HKkFVI\ ·IË AHKB?HTa`a`MXZ[BD\7CGk¬]zMXZUV QXCFk{\DTi2Mel BDMXBÇZ[M`dM %hZmn'i[MX\i[MXJÒHKk[i[MX\ÇZUT;k[M(\IMXBDCGkFV]hH_\BDM=qDMYV{MXl Me\QXCGBDBDMX\I]CGk[i HÒb `§¡ÌMYl FCK`ZmVDTCGk i[MX\2 ³ QXCFk[imTWVDTdCFk{k[MY`W`dMXJLMXkGVH b ` Hy`WTdJTWV|HVDTdCFk i{M!`ÜHQHK]^HKQYTWVUMl i[Z¬\<o{\<VeMeb J(M Ë Ð ¡£Me\<V7][BmMXl Q®Td\IMXJ(MXkFVH b QXMYVDVIM'MYl FCK`ZUVDTdCGk°ÇZ[M`c¡£CFk«\e¡ÃTdkGV{MXl BDMe\©\IMXBIH Ë vMXJ(][\;¥{n{M Ð ¡¨MX\DV2`dM!OJ MX1 J(M)][BDCFgm`cMXb J(M)ÇmZ{M!][BMXl QzMXl i[MXJ(MekGV?\SH_ZUÉ9ÇZ[Mj`MX\2 ³ \ICGkFV2\DTdJ(]U`dMeJ(MXkGV i[MX\7 Ë H Ë Hb _H`MXZ[BD\i^HKk[\?Z{k°MXk[\IMXJgU`M ¥^kUnT I{` HQXCFk{iUTWVDTdCGk 6 ¶ ¹y· MX\DV?i^HKk[\QXMQHK\ 8 N ) ) ´
(60) 8 N , * ) ) ¶ · Xe 8 N , * ) Ð My][BDCFgm`cMXb J(M\IMXBIHVIBIHTaV{Ml HKZ S Ë
(61)
(62) $
(63) $»*"
(64) .
(65) #
(66)
(67) $# x9M«QHKi[BDM«Me\<VLQXMY`ZmT!i[Z Ë N Ë N #E 7¯&%(' XaWa %() ÆG ¶ E · 7Û`§¡£MXk[\IMXJgm`Mti[MX\(JLMX\IZ{BDMe\(i[M«][BDCKª g^HKgUTa`WTaV{M(l \IZ[B!E Ë AÎCGZ[BZ[k[M(J(MX\IZ[BDM ¸ ¶ E · \IC_TaV|\ H imTW GMeBDEGMXk[QXM ¶ CFZ\ICGk#TdkUÉÝCFBDJ HVDTCGki[M ßZU`a`dg^H_QSà · ]^HKB7BIHK][]CGB=V¤H+b ) ¶ · 7 8 ³ !#" $ ³ ³ ³a´ ' .
(68). . MYV!\ICKTaV7`My\ICFZ{\DªÌMXk[\IMXJgU`M)i[M ¶ E · . o[o ûqpsr l't e. C. 7. ¯ ¯ ¶ ' XaWa ) · ¸. ¸s£w ) ¶ ² E ++ . )' · ³ 7Áµ . N '¸ ² ¹ )' Æ ³ % ³ µ9¶ · ¸ ¹ Æ. ¶ ·.
(69) NÂ. & M& . . M( MM . Îx HÉÝCGk[QYVDTCGk ¶ · MX\DVÊ\<VIB=TQYVIMXJ(MekGV2QXCFkG GMYn{M\IZ[B Ë u_T ¹ MX\DVÊZ{kLQXCGkG FM|n{M?ÉÝMXBDJ,M l ¶ QXMjÇmZmTMX\DV0`M QH_\;HKZÒ Ë N Ë N7MYV QXMj\IMXBIH)VICFZqDCFZ[BD\`dM!QHK\pi^HKk[\0`ÜH\IZUTaVIM · «`c¡¨MX\DV2H_Z{\I\DT ¶ Q_¡£Me\<VÊJOMX1 J(M!Z[k(QXCGJL]hH_QYV · MYV ¶ · o°HKi[J(M®VZ[ktJ¤TdkUTdJZ[JÛZ[kUTdÇmZ{MÇZ[M`c¡¨CGk¬k{C_VIMXBIH Ë $ HKk[\jQeMX\jQeCGk[iUTaVDTdCFk[\ . Õ Õ × Õ ( M " Fn
(70) ") &" #
(71) "! M NM Y M 6 ¶ ¹· "Y ¸ ¶ E · %&
(72)
(73) #
(74) M&%M( &
(75) %" "
(76)
(77)
(78) %"! # A0BDMXZU FM s§`\X¡öHKE_TaV;i¢¡¨Z{k[M!HK][]U`aTQHVDTCGkTJ(JMXl iUTÜHVIMi[Z ö]{B=Tk[QYTd]Mi[MQXCFk[imTWVDTdCFk{k[MXJLMXkGV;i[MyÏ?Tg[g{\e¡ Ë QYÉ Ë $ MXJË gzC_ªzM®TaVICGZ[kUT À ? Å vjR Ë Ë Ë CFZ Ð \DTd\B49HKl B À Å U '& Î ( 5 ktH(]^H_BÊ` H`dC_TÎi[MX\jEFBIHKk[i[\jk[CFJg[BDMX\ N 8 :< 7 8 ) % ! ³W´ µ9¶ ³ · µ ´ ' µ&¶ · "_ ` Ht][BDCGg^HKgUTa`WTaV{M l s£A ¶ 6 ¶ ¹·D· VIMXk[i FMXBD\«N CFZ  \IMY`CGk ÇZ[ M µ H_][]hH_B=VDTdMXkFV(CGZ k[CGk¦H b ¹Ë $ CGHKk[k[Q( b X ` . H\|\<HKTWVIk[Z^\HVDZUTdVDCFTWk `aTd\IC9MXBZb `d`dM MX\L][B=BDTdMXk[\IQY\©TCF]zZ[M BDQXi[MXM \ $ÏTdg[g[\\ `dM Ð ][M¬BDMXQJHK\¤TMXk3B¡¨MXQ\DHKV \]^CGHKk \H°VIBYimMXb T\BDMXTdQYkFVIVUMXMXl JLBDMXMX\IkG\|HKV kG V I0Ta7 `?QX CF BDBD MX
(79) \I]z7 CGk[ i¦XeH° iUTd\I]zCFkUË TdgU`dMX\?\ICGkGV!HÖH_Zmn«BDMX\I\©CFZ[BDQXMX\?BDMXÇZUTd\IMX\!]hH_B2`dMX\?ZUVDTa`aT\|HVIMXZ[BD\MektJ(CoFMXk[k{M Ë s=kFVIBDCUi{ZUT\©CFk[\tJ HTdkGVIMXk^H_kGV#ÇZ[MY`ÇZ[MX\tk[C_V|HVDTdCFk[\ Ë 5 k¦][BDMXk[i 7 E . / f ³ :< E `dMX\ HK][]U`aTQHVDTCGk[\)QXCUCFBDi[CGk[k2MXl MX\ef O7 ¶ XWaa · I3CGk\IMi[CGk[k[M+ ¸ ¶ E · MYVCFk]zCF\©Ms£A 7 ! . / ¸ ¶ · AÎCGZ[B VICFZUV)ÑOHÖNCFk«QeCGk[\DTdi3MXb BDM # " %½ $ ¸ ¶ E ½ · VIMY`W`dMÇZ[M " %½ $ ¶ · 7sÃA ¶ 6 '¶ & ¹·D· ) (*) x9MX\MYl `®MXl JLMXkGVI\i[M ¶ E . / ½ · \IMXBDCFkGVTdi[MXkGVDTW¥7Mel \(HKZmnÖMYl `®MXl J(MXkFVI\i[M ¶ E ½ ½ ·¤Ë $ ¡ÍHK][B®MXb \` H ][BDCG]CG\DTaVDTCGk¬]{BmMel QzMXl i[MXkGVIM_fhCFktiUTd\I]CG\IM)i[M+" $ 7 `aTJ -,/. + " $ Ë P`CGBD\. Õ Õ × Õ ( 102 43 F Ñ 65 7 XaWa ½ "Y #
(80)
(81) M&"%$& ( 98
(82)
(83)
(84)
(85) M& n
(86) " -: + " %½ $ ¶ · ;
(87)
(88) @L' M( & =< nL> S @?
(89) " #" $ ½ w E & H Â sL'
(90) º s£Fw E nB
(91) A 2 B3 F n n M M DC E : < s£F K J HGI C ·D· ¸ M ¶ ¶ "L $ ¶ N 8 C ¶ ³ ·Ê¸ · : <  & ³W´ "-
(92) & n
(93)
(94) %" # M7] ) " "% TdkUÉ ,>NBO P ¶ · J Â 7 O P nM A M NM " L' Q NM
(95) M ""'
(96) M r ïBU ò=üòDõ=ô ÎòDó éõn\Gó®û@Z9ùÌóYþù Ýü \ôöõ?õDûYù 9R ô ZeüÝù YûòDõScMT UVT:W gYX cþ@\:Z[]\F^ T(c`_ gba T:Wc`_ g ^ d X ec ² f gih \ ^ T(cij%k gba T:WcKj%k g ^. U ÿ o U32.
(97)
(98) !#"%$&"'(
(99) )
(100) ". NGN. 0A BDMXZU FM Ë ¡ÍH_][BYMXb \tZ[k VIR2MXl CFBYMXb J(Mi[M Ð \DT\h4&HKl B v?R \ICGkFV H_\DoUJ(]UVICKVDTÇZ[MXJ(MXkGV'ÇZ^HK\DTaª Td$ k[i2MXl ]MXk[ihH_kGVIMX\?\ICGZ[\ ` HQXCFk[imTWVDTdCFk 6 ¶'À & Å ¹· Ë ¶ QYÉ Ë ` HXWBmaaMYlWÉ Mel BDMXk[QXM]zCGZ[B7]U`dZ[\?i{M][BMXl QYT\DTdCGk[\ ·IË Ð MY`ÜH MXkGVIBIH 1Tdk[M ¶ À Å ] *Ë · N±i¢¡£Z[k[M]^HKB=V!MYVi¢¡öHKZUVIBDM]hH_B=VÇmZ{M\e¡ÈTW`9M|nmT\DVIMyZ[k J  J  ¾ ¸ " $ * ¶ · % ! ¶ : & · & 7ÁN eaa H`CGBD\ `W TdJ. "L $ ¶ · 7  5 B2\DT º¼ E MX\DV2Z[k ÉÝMXBDJMl VIMY`¢ÇZ[M G I K J C ·D· ¸ Ë AÎCGZ[B 7¯ ² ³W´ C ³ ¸ Æ fCGk ¶ ¶ ¶ H " $ ¶ · % ! ¶ : & · & 7ÁN XaW ]zCFZ[B 7 TkUÉ ,>N O P ¶ · ¶ QYÉ Ë `M)VIR2MXl CGB®MXb JLMyi[M Ð BIHKJ,MXl B=ª Ð R{MeBDk{C ·IË m±\e¡£MXk¬i2MXl i[ZUTaV Ë . Õ Õ × Õ ( M " F s£A ¶ · 7 s£A ¶ 6 ¶'& ¹·D· %&
(101) N n
(102)
(103)
(104) " #" $ . / A0BDMXZU FM Ë 5 k\SHTaVÎÇZ[M;`MX\9][BDCGg^HKgUTa`WTaV{MXl \J H_BDEKTdk^H`dMX\9i[M0s£A QXCGkG FMXBDEFMXkGVMYl VIBDCKTWVIMXJ(MXkFV& FMXBD\QXMY`W`dMX\Îi[ M #" $ . / ¶QXi¢CFkG¡ÍH_ G]{MeB®BDMeb EG\MXk[`dM QXMN MXkti[M _H_`ÜB=H TÜH][VDBDTdCGCGk]zCF\DTaVDTd¡ÍCFH_ktZUVI][BDBMMXl Q]^MeHKl i{B=VeMefzkGVIMXM_k°fzJ`ÜH Z[QXkUCGTdkF\I\| GHKMXkFBD!VEFMXE k[. QX/ Mi{MXMkt`ÜTdH(kUÉÝJLCFBDMYJ VIB=HTdÇVDTZ[CGMk#Tdk[MXkFi[VIZUBITaH VI1TdMk^]^H_kGH_VB `` HH J(MYVIB=TÇZ[MjZ[\IZ[MY`a`M7i{M2s£w . / ¶ ·IH_ Ë ][$ BYMXb \;HX FCKTdBÎTdi[MXkFVDTa¥^MXB EHb ¯  N XWaW . Æ º sÃw ]^H_BM|n[MXJ(]U`dM · fGQ_¡¨MX\DV0Z[k QXCFJ(]^HKQYV7QYÉ Ë ;Ta`a`WTdk[EG\D`MYo À Å ] Ë [N Ë sÌ`9MXk BMXl \IZU`aVIMÇZ[M` H\IZUTaVIM ¶ · MX\DV2VIMXk[i[Z[&M I{CGk QXCFk[QY`dZUV MXkHK][]U`aTdÇmZhH_kGV?`dMVIR2MXl CGB®MXb JLMi{MA0BDCFR[CGBDC ¶ QYÉ ËÀ Å · . . .
(105) ! $# # # $ ! $# #. k \©M¤]U`ÜHKQeM(i^HKk[\)`dM(QHKi[BDMi[Z ]hH_BIHKEFBIHK][R[M Ë ¬H`aTk2Ml H VIMXJ(][\¥{n{M Ë A&CFZ[BQH`QXZU`dMXB)` HÒ][BDCKª g^HKgUTa`WTaV{M¤l QXCGk[iUTaVDTCGk[k[MY`a`M`aTJTaVIMGfCFkMX\DV)i[CGk[Q(H_J(MXk2M¬l HÒb BmMXl \ICFZ{i[BDM`dM]{BDCFgU`éMXb J(M¤i¢¡£CG]UVDTJTd\|HVDTCGk \IZUTa _HKkFV ) 8 Tkm É ¶ · 7 ' !#" $ ? · ¶ $ ¶ ·j¸ C9Z b ) ) 8 $ ¶ ' XWaW ) · 7 ¶ 8 eXX ) · ´' ´ 7Á¯FN Æ ¯ ¶ XWaW ) · ¸'¼ ) ³ ) ³ 3 7ÖN XWa . Æ + 5. o[o ûqpsr l't e.
(106) N. & M& . . M( MM . k ]zMXZUVBmMl Mel QXB=TdBDM QXM,][BDCGgU`cMXb JLM \ICGZ[\t`ÜHÉÝCGBDJ(M,\DV|HKk[i^HKBDii¢¡£Z[k4]{BDCFgU`éMXb J(M,i¢¡£CG]UVDTJTd\|HVDTCGk QXCFkG GMYn{MMYV CGk#iUT\©]CG\IMi[M ( 7 ¶ ( ' XWaW ( ) · ( ³ H  " 3 3 H4N ¶ JZU`aVDT]U`aTdQHVIMXZ[BD\i[M(xÎHKEFBIHKk[EGM · VIMY`\ÇZ[M ' 7 ' % ³ 7 ³ % ² P FMXQ ³ ³( 7  " 3 % & ©8 ´ 7  3 7ÁN XaWa . 0k¬TdkGVIBDCUi[ZUTd\|HKkFV Hb ` H(]m` HKQXMi[M ( ' G7% ¶ ÉÝCFk[QYVDTdCFk«i[M]^HKB=VDTaVDTCGk · fU`ÜH(\ICK`ZmVDTCGk ;MXl B=TW¥hM ' 7 ' ³ ³ 7 % ² 7 CFZ«gUTMXk 8 ) 7 ) 7ÁN . ¶ · ³ 3 XaWa ( ³  I´m) ³ 7 ' ) 8 ³ % ² ³W´ 5. =s kGVIZUTaVDTW GMeJ(MXkGV?`dMX\2][BDCFghH_gUTa`aTWVUMXl \ ³ ]zMXZU FMXkGVMY1 VIBDMTkGVIMXBD][BMYl V{MXl Me\ QeCGJ(J(M MYl V|H_kGV2`dMX\2][BDCF]zCGB=VDTCGk[\ i[MX\2EGMek{\ÊÇZUT3\IMXBIHTMXkGV2MekÒQeCGJ(JZ[kmTQHVDTCGk#Hb Z[k kmTW GMHKZ 3 \<T^`dMe\;BDMX\I\ICGZ[BDQXMX\¤M®l V|HTdMekGV2TdkU¥^kUTdMX\ IG`dMX\ ][BDCGg^HKgUTW`aTaV{Mel \ ³ ÇZ^HKkGVHb MY`W`dMX\p]zMXZU FMXkGVDMY1 VIBDM7 UZ[MX\2QXCFJ(J(M7`dMX\Ê]{BDCF]zCFB=VDTdCGk[\pi{M!EGMXk[\pÇZUTz\ICGkFV;MXk QXCFJ(JZ[kUTdQHVDTdCFk HÒb Z[kkUTa FMH_Z 3 QXCFJ(]UVIMVIMXkmZ'i[MX\ QXCGkGVIBIHTdkGVIMe\yi[M`aTdJ¤TaV|HVDTCGki[MX\BDMX\I\ICGZ[BDQXMe\ Ë 5 kt]MXZUV)H`dCGBD\2 FCKTBj`dMBIH_][]zCGB=V ³ '± ³ NQXCGJ(JLM#MYl V|HKkGV?`ÜH(][BDCF]zCGB=VDTCGk¬i[MyEFMXk[\HXomHKkGV!BDMXZ[\I\DT Hb QXCFJ(JZ{kUTÇZ[MXBH_Z«kUTW GMH_Z 3 MYV9N : ³ ± ³ `ÜH][BDCG]CGB=VDTCGk¬i{MEFMXk[\7k3¡öHXoH_kGV]^H_\ BmMel Z{\I\DT2Hb QeCGJª JZ{kUTÇZ[MXBHb QeMykUTW GMH_Z Ë 0k M 3M®Vef¢\DT0`§¡£CGkQXCFk[\<Ti3MXb BDM`ÜH ÉÝCGk[QYVDTCGk C E : < ¼ % ³ : <
(107) ³ H`dCGBD\ ² ³W´ C ¶ ³ · ÇZUT BDMX][BMXl \IMXkGVIM¤`ÜH«][BDCF]zCGB=VDTCGki[MX\BDMX\I\ICGZ[BDQXMe\i{M¤V§oU]M
(108) ZUVDTW`aTd\{MXl M¤VIMXk[i3f9QXCGk[iUTaVDTCGk[k[MY`a`MXJ(MXkFV HLb ` H QXCFkGVIBIHTkGVIM i{M(`WTdJTWV|HVDTCGki[MX\BDMX\I\ICGZ[BDQXMX\ FMXBD\ H_Z \IMXk[\i[M(`ÜHt][BDCG]CG\DVDTdCFk Ë N Ë Ë PTdk[\DT;` H ÇZ^HKkFVDTaVUM l ]zMXZUV MY1 VIBDM)TkGVIMXBD][BMYl VUMXl MQXCFJ(J(M?`ÜH][BDCF]zCGB=VDTCGk i[MX\7BDMX\I\ICGZ[BDQXMX\2i[M?V§oU]M
(109) s 9 >8
(110) ZUVDTa`aT\UMXl M Ë x9MX\BDMX\I\ICGZ[BDQXMe\imT\I]zCGkUTgm`MX\k[M(\ICGkGV]^H_\)TdkGV{MXl EFBIH`MXJ(MXkGVZUVDTa`WTd\UMXl MX\ef9gmTMXkÇZ¢¡£MY`W`dMX\\ICKTMXkGVTkmª ÉMXl B=TMXZ[BDMX\tMXkÇZ^HKkFVDTaVUM,l HKZmnÞBDMX\I) \ICGZ[BDQXMX\¬BDMXÇZUTd\IMX\ Ë 0k¦ M 3M®V«M®`a`dMe\t\IMXBDCGkFV«ZUVDTW`aTd\{MXl Me\ti^HKk[\ `dMXZ[B TdkFVUMXl EGBIH`aTaV{M l \DT µ&¶ · 7Û² ´ µ9¶ % ·) 7 ¶ ) XeX ) ) · QeM ÇZUT2k¢¡£MX\DV¤]hH_\ UBIHT2MekEMel k2Mel BIH` Ë AHKB;QXCFkGVIBDMCFk H µ9¶ · ¸ ¢¹ ¹ 7 Àà) Å QHKB ¶ · MX\DV;\DVIB=TdQ®VIMXJ(MXkGV7QeCGkG FM|n{M)M®V2\ICGk JTkmTJZ[J+HKg[\ICK`Z«ÇZUTÎMX\DV!HVDVIM®TdkGV MXk ÇZUT9 ÊMel B=Ta¥^+M P ¶=µ9¶ · ¸'¹ QXCFJ(J(MCGk `dM\IZ[]{]CG\IM Ë U ÿ o U32.
(111)
(112) !#"%$&"'(
(113) )
(114) ". N.
(115)
(116) $
(117) $
(118) .
(119). . # $# # $! #
(120) # . Ð M]^HKBIH_EGBIHK][R[M]zMXZUVM®1 VIBDMQXCFk{\DTi2Mel BMl QXCFJ(J(M¤Z{k[MTdkGVIBDCUi[Z[QYVDTCGkR[MXZ[B=Td\DVDTdÇmZ{MÒHKZ#QH_\)i[MX\)][BDCKª QXMX\I\IZ[\ji[M\|HKZUVI\Hb VIMXJ(][\!QXCGkGVDTkZ Ë uCKTWV Ä ¸ s£ Ë s=QYT9`MVIMXJ(][\ ¿ i2MXl QXB=TWV`dMe\MXkGVDTMXBD\ Ä Ë uFC_TaV? ®³ 3 ¸ s£ÖZ{k[M\IZUTaVIMi[MyQ|R^H 1Tk{Me\i[M rHKBDà_C Tdk[i2MXl ]zMek{i^H_kGVIMX\?i{MJ MX1 J(M)`dC_T ¶ J MX1 JLMyJÒHVIB=TdQeMi{M)VIBIH_k[\<TWVDTdCF k ÖMYV?]{BDCFg^HKgUTa`WTYM)l TdkUTWVDTÜH`M
(121) · MYV i{CFkGV2`c¡¨MX\I]^HKQXM?i[MX\(MYl V|HVI\2Me\<VÊ`c¡£Mek{\IMXJgU`dM?¥hkUT E 7&¯ %(' XaWa %() ÆG Ë Ð MX\;Q|R^HTdk[MX\2\ICFkGV2i2MYl ¥^kUTdMX\ \IZ[BjZ[ktMe\©]^H_QXM)i[M]{BDCFg^HKgUTa`WTaVUM l ¶ s£A · uCKTWVMXkU¥^ktZ[k[M)ÉÝCGk[QYVDTCG k µ FE : < s£w ½ MYV ¹ Z[ktQeCGkG FM|n{Mi[M)sÃw ½ Ë 5 k«QeCGk[\DTdi3MXb BDM`c¡=MYl ;MXl k[MXJ(MekGV N ³ 6 ¹· 7Á¯ 8 ¶ ³W´ µ9¶ Y· ¸¹ 0¾¿ 7  XaWa<ÄÆ ¶ ÇZUTÎBDMX][BMXl \IMXkGVIM`ÜH¤QXCGkGVIBIHTdkGVIM · MYV!CGk°\e¡ÈTdkFVUMXl BDMX\I\IM Hb `ÜH`WTdJTWVIMi[M ¶ · 7 s£A ¶ ¸ 6 ¶ ¹·D· `dCFBD\IÇZ[M»VIMek{i¬ GMeBD\j`c¡ÃTdkU¥^kUT Ë $¥^kUHKT k[\?AÎQXCGM\ICGQk[H_\?\jMXCFk«k«M ] 3MXMYZUV Vj VICFZqDCFZ[BD\)HK][]U`aTÇZ[MXB7`dM][B=Tdk[QYTd]Mi{M¤ÏTdg[g[\?]zCGZ[B7`dMX\?J(MX\IZ[BDMX\¤Hb \IZ{][]CGB=V Ë ³ 7 ¶ ' ³ XaWa ³ · `dMe\ ³ \ICGkFVH`dCFBD\ T Ë T Ë iHb _H`dMXZ[BD\!ihH_k[\ E + HX GMeQ s£A ¶ ³ 7 ¶ ' XWaa ·D· 7
(122) ¶ ' · ¶ ' |· aWa ¶ · MYV?`c¡¨CGk¬]zMXZUV¬MXl QXB=TdBDM N ³ s£w " 6 ¹y· 7¯ 8 ¶ ³W´ ¶ ·7¸¹ + ÆG ¹ + º ½ + $ HX GMeQ FE ½ :< s£w ½ " + $ ¶ ' XaWa · 7 ¶=µ9¶ ' · XWaW µ9¶ ·D· ³ ¸ ' C_VIBDMg[ZUV2MX\DV2 i¢¡£CFgmVIMekmTB;Z[k[M)M|n{][BDMX\I \DTdCFk(M|n{]U`aTQYTaVIM i{M?`ÜH)`aTJTaVIM i{M ¶ · ÇZ¢¡¨CGk k[CKVIMXBIH # ¶ ·IË xÎH`dC_TQeCGJ(JZ[k{Mi[MX\j ³ \IMXBIH k[CKV{MXl M ¸ ¶ E + ·IË xÎH`dC_T9`aTJTaVIM¤QXCGk[iUTaVDTCGk[k[MY`a`MyQ|R[MXBDQ|R2Mel M_f \ICKTWV ¸ ¶ E + · fhMe\<V!i[CGk[k2MXl M]^HKB 7 H_BDE2JTdk ¶ · , o[o ûqpsr l't e.
(123) NX. & M& . . M( MM . º Ãs w ½ " + $ ÆG ¶ · ¶ · A`Z{\!M|n{]U`aTQYTaVIMeJ(MXkGV CGk°HtH(b BMXl \ICGZ[i[BDM)`dM][BDCGgU`cMeb J(Mi¢¡£CG]UVDTJTd\|HVDTCGk°\©ZUTW _HKkGV TdkUÉ 8 ' !#" $ ¶ ' XWaW · , " ¶ XaWa · ¶ ' XaWa · 8 $ ' · ¶ ' eaaW · ¸'¹ º s£w ½ 9 µ ¶ 8 ' s£w ¶ G· µ9¶ S· ¶ eaaW · ¸'¹ º ½ Xe 8 ' s£w µ9¶ · ¶ eaaW · ¸'¹ º ½ Ð Mt][BDCGgU`cMeb J(M#i¢¡£CF]mVDTJTd\|HVDTdCGk HKi[J(MYV Z[k[Mt\ICK`ZUVDTdCGk Z[kUTdÇmZ{MGfp`ÜHÉÝCGk[QYVDTCGk Hb CG]UVDTJTd\IMXB MYl V|H_kGV \DVIB=TdQYVIMeJ(MXkGVLQXCGkG FM|n{M MYV`dM i[CGJÒHTdk[M MX\DVQXCFkG GMYn{M Ë 5 k iUTd\I]CG\IM H`CGBD\i{M JZU`aVDT]m`WTdQHVIMXZ[BD\(i[M xÎHKEFBIHKk[EGM ( ' XXXX ( ¸ s£w ½ VIMY`\jÇmZ{M ¶ ' XaWa · 7 % ² " $ ¶ ' XWaW · MX\DV Z{k#ÉcH_QYVIMXZ[B?i{Mk[CGBDJ H`aT\SHVDTdCFktÇZUTpQXCGBDBDMX\I]CGk[iH( b `ÜH(QeCGkGVIBIHTdkGVIM ² ' 7 N 0¶ k MXl QeB=Ta _HKkFV ¶ ' XWaW · \ICFZ{\?ÉÝCGBDJ(Mi[M][BDCUi[ZUTaV)i[MX\ ]{BDCFg^HKgUTa`WTaVUMXl \)i[MVIBIHKk[¶ \DTaVDTdXCFak[Wa\X f{TW `0· Me\<V!ÉcH·Iª Ë QYTW`dMi[M GC_TdB)ÇZ[M !)\IMyÉcH_QYVICGB=T\©MMXkZ[k][BDCUi[ZmTWVi[M][BDCGg^H_gmTW`aTWVUMXl \i[MVIBIHKk[\DTaVDTCGk[\ # ¶ I· ÇZUTpi2Mel ]zMXk[i[MXkGVi[CFk{Qi[Z#VIMXJ(][\efi[M\ICGB=VIMÇZ[M\ICGZ[\ f^ Me\<V Z[k{M¤QSR^H 1Tdk[Mi[MLrHKBDà_Ce °k[+ CGk R[CGJ(CFE[MXb k[M Ë. 7Á¯ ¸ ¶ E + · . ¸ ¹ 8 ¶ · 7 · #! " $ ¶ , . U '& Î ( 5 k(k[M]MXZUV2]^HK\;][BDMXk[i[BDM Ä TdkU¥^kUTnI`c¡=M®l ;MXl k[MXJ(MXkFV2]^HKB0`MXÇZ[MY`CGk QXCFk{iUTWVDTdCGkUª k[MXBIHTWV0]CGZ[BDBIHTWV MY1 VIBDM7i{M2][BDCFghH_gUTa`aTWVUM7l kZU`a`dM ËP k[M2QXCGk[iUTaVDTCGk\©Z \|H_kGVIM2]zCFZ{BÇZ[M;`dMe\MYl ÊMXl k[MXJ(MXkGVI\ i[MjVÌoU]zM 6 ¶ ¹· \ICKTMXkGV2k[CGk k MXl E_`aTEGMH_gm`MX\;MX\DV2ÇmZ{M µ9¶ · BDMX\DVIMi^HKk[\ ¹ ]zCFZ[B ¿ 7  XWaÈÄ HX FMXQ Z[k[M]{BDCFg^HKgUTa`WTaVUMl k[CGkkZU`a`dMIjQXMÇZUTMX\DV UBIHTi^H_k{\ `dMQHK\ V§oU]UTÇZ[M C9Z b ¹ 7 ½ ´ À£Â ) Å MYV µ9¶ %(' · 7 Â. . . # $# $# # # # # ! # . . #k \IMi{CFk[k{MQXMYVDVIMÉÝCKT\Z[ktTkGVIMXB= _H`W`dM ÀàDÄjÅ º s£w M®V)Z[k[M\IZUTaVIMi[M][BDCUQXMX\I\IZ[\J H_BDàKC TMXk[\)i[M \|HKZUVI\ ³ <¿ ¸¦Àà<Ä?Åc 3 7 N XWa f9i[CGkGV)`§¡£MX\I]^HKQeMi[MX\MYl V|HVI\E 7 ¯ %(' XWaW %() Æ MX\DV)¥^kUTcf¢i MYl ¥^kUTd\\IZ[B Z[kMX\I]^HKQXMi[M][BDCGg^H_gmTW`aTWVUM l ¶ s£A ·IË 5 k\IZ[][]zCF\©MÇZ[M¤QXMX\)][BDCUQXMX\I\IZ[\)\ICGkGV!Tdk[i2MXl ]zMek{i^H_kGVI\MYV 5. U ÿ o U32.
(124)
(125) !#"%$&"'(
(126) )
(127) ". N?. CGkFVj` H(JOMX1 J(M`dC_T ¶ EMXl k MXl BIHVIMXZ[B MYV?`dC_T9TdkUTaVDT H`M
(128) ·IË Ð CFJ(J(MHKZ°]hH_BIHKEFBIHK][R[M]{BmMel QzMXl i[MXkGVefzCGk¬\IM i[CGk[k[MZ[k«QXCFkG FM|n{M ¹Áº s£w ½ MYV?Z[k[MHK][]U`aTQHVDTCGk µ EG:< sÃw ½ fmM®VjCFk«QeCGk[\DTdi3MXb BDM`§¡ÌMYl ÊMel k{MeJ(MXkGV N ³ 6 ' ¹· 7¯ 8 ¶ ³W´ µ9¶ · ¸ ¹ ¾¿ ¸ À£Â <Ä?ÅcÆ 5 k«\e¡ÃTdkGV{MXl BDMe\©\IMH`CGBD\H b `ÜH`aTdJ¤TaVIMi[M ¶ · 7 sÃA ¶ ¸ 6 ' ¶ ¹·D· `dCFBD\IÇZ[M»VIMek{i¬ GMeBD\j`c¡ÃTdkU¥^kUT Ë $ HKk[\2`ÜH(\IZUTaVIMCFktk[CKVIMXBIH `ÜH`CKT9QeCGJ(JZ[k{Mi[MX\7 ³ \ICGZ[\ s£A Ë U '& Î s=Q®T3MXk[QXCFBDMjCFk k{M!]zMXZUV7]^HK\Ê]{BDMek{i[BDM Ä TdkU¥^kUT Ë 0k BDMY _HKk[Q|R[M)Z[k{M!QXCGk[iUTaVDTCGk \IZ \|HKkGVIM]zCFZ{B ÇZ[M 6 ¶ ¹· \©C_TaV k{CFk#k2MXl EK`WTdEFMHKgU`dMMX\DV ¶=µ9¶ ·)¸ ¹ ¾¿ ¸Àà<Ä?Å · 7 ÂUË 0k ]^HKB=VDTQXZU`aTdMeBj\e¡ÈTW`ÎM|nmT\<VIMZ[kMYl V|HV % ³ VIMY`9ÇZ[M µ9¶ % ³ ·Ê¸ ¹ QXM®VDVIMyQeCGk[iUTaVDTdCFk«Me\<V!BDMH`aTd\{MXl M][ZUTd\IÇZ[M BDMX\DVIM 7 % ³ ]CGZ[BjVICFZUV ¿ ¸ÀàDÄjÅ HX GMXQZ[k[M][BDCGg^HKgUTW`aTaV{M¤l k[CGk#kZU`W`dM Ë 5 k\IM]U`ÜHKQeMXBIH ihH_k[\)QXMQHK\ i^HKk[\7VICGZUVIM`ÜH\IZUTaVIM Ë ]CGZ[B`dMX\Q|RhH 1Tdk[MX\i[M«rH_BDàKC fÎCGk ]zMXZUV¤\X¡öHVDª $VIMX¡Ík[H_i[][BDBYM MXb \yH(b `§QX¡£M|Mn[Ç]{Z[BDMeM\©QX\DTMYCGVDk VIMi{`aTM(J` TaHtVIM][MXBDCGk¬g^VIHKMXgUJ(TW`a][TaV{\M l QX`WCFTdJkGVDTWTdVIkmMÒZ{M \ICKTWV?i{CFk[k2Mel My]^H_B Z[k[MÉÝCGBDJZU`dMi[Z«V§o{]zM. ) ¶ ¸ . · 7 % " $ ¶ ¸ . · wH_][]zMY`CGk[\7i3¡öHKgCGBDi¬Z{k[Mi2MYl ¥^kUTaVDTCGk Ë uCKTaV Z[k[M\©ZUTWVIMi{M][BDCFghH_gUTa`aT®MXl \?\©Z[B7Z[ktMX\I]^HKQeM ¶ 0 ·IË 5 k iUTaVÇZ[M QXCFkG FMXBDEGMMXkTdkUÉÝCGBDJ HVDTdCFk CGZÁHKZ \IMXk[\°i{M Ð \DTd\B49HKl B · FMXBD\#Z[k[M'][BDCFghH_gUTa`aT®M l ¶. ¸ ¶ 0 · \DT ¶ · : < Â{Ë P FMXQ ¶ · 7 !" $ .. . \DT M®V \DTdk[CGk Ð MYVDVIMQeCGkG FMXBDEGMek{QeMyMekGVIBIH 1Tk{M`ÜH QXCFkG FMXBDEGMXk[QXMMXk° _HKB=TÜHVDTdCFkti[M FMXBD\ ¤fhMYV)CFk#H(JMe1 J(M ¶ Q®É Ë À Å · : ¶ · ¾ ¸ ¶ 0 ·. ktH H`dCFBD\Ê`MBMXl \IZm`WV|HV!EMXl k MXl BIH`9\IZUTa _HKkFV\IZ[B `MX\7`dCKT\jQeCGk[iUTaVDTdCFk[k{M®`a`dMe\ `WTdJTWVIMX\ ¶ YQ É ÜË À Å vjR Ë Ëç· Õ U
(129) F M M )
(130) " FNM 6 F
(131) "Y
(132) =<n )
(133) " 8 NM ? # ¶ 0 ·
(134) %" F
(135) " M %n b
(136) M
(137)
(138) [%& b5 <W:` - -`-: ?]= &
(139) XWa F !" Fn - ( -M O M M( F!(M " ( # F M N M 5. o[o ûqpsr l't e.
(140) N. & M& . . . M( MM . M@ ( M
(141) "Y " &" %& b5>8j
(142) : &%" F 6 º = 7 ; b5R&
(143) % F M F R n
(144) %"Y & M % " Y M " F
(145) " N M
(146) "!%& & &
(147) ". . ;
(148)
(149) @L' M( & M] <W%! M@5 F. . ¶ · 7 ¶ ¸ N 8 ¶ ³ ·7¸ 6 · W³ ´
(150) %"! M
(151) " FN N M # M . 7 N % ! ¶ ¶ ·D· . «¶ · 7 H_BDE2J Hn À TkUÉ · : !#" $ % ! ·D·D· Å ¶ ¶ ¶ ,
(152) , ¶. M& M(n
(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. Sur un the´ore`me de limite conditionnelle. Application aux syste`mes de capacite´s finies Adnan Aboulalaaˆ. N˚ 2389 Novembre 1994. PROGRAMME 1 Architectures paralle`les, bases de donne´es, re´seaux et syste`mes distribue´s. ISSN 0249-6399. apport de recherche. 1994.
(3)
(4)
(5)
(6)
(7)
(8)
(9)
(10)
(11) % $&
(12)
(13) $
(14) ! ()
(15) $+*,
(16) $ ! #" $&' -.0/213/4-#57698;:<13:=1?1)> @ A0BDCFEGBIHKJLJ(M(N!O P)BDQSRUTWVIMXQYVIZ[BDMX\]^H_BIH`a`cMYb `dMe\Xf[ghH_\IMX\ji[Mi[CGk[k2MXl MX\efhBmMXl \IMH_Zmn MYV!\DoU\DVXMXb J(MX\?iUTd\DVIB=Tdg[Z2MXl \ ApBDCKqDMYV!rtsSuFv!wjPyx w!HK][]zCFB=V?i{MBDMXQ|R[MXBDQ|R{M}k~ GGFO C GMeJg[BDM NFKO G]^HKEGMe\ l V|HKkFVi[CGk[k2Ml QXCG]UTMX\Tdk[i2MXl ]MXk[ihH_kGVIMX\U eXX i¢¡£Z[k][BDCUQXMX\I\IZ{\!i[M\|HKZUVI\¤H b _H`MXZ[BD\)i^HKk[\)Z[k#MX\I]^HKQeMyi¢¡=MYl V|HVI\¥^kUTcf3CGk¦MYl VIZ[imTMy`§¡=MYl FCK`ZUVDTdCGki¢¡¨Z{k]{BDCUQeMX\I\©Z[\?V§oU]MQXCFk{iUTWVDTdCGkUª k[MY`a`MXJ(MXkFV«H¬b Z[kM®l ;MXl k[MXJ(MXkFVi[ZV§o{]zM°¯FNK±Y² ³W ´ hµ&¶ ®³ ·y¸¹»º}¼½ =¾3¿ ¸ÁÀàDÄjÅ§Æ `dCFBD\IÇZ[M VIMXk[i FMXBD\0`§¡ÈTdkU¥^kUT ¶ MXkÉcHTWV;CFkQXCFk{\DTi2Mel BDMXBIH)i[MX\MYl ÊMel k{MeJ(MXkGVI\;ÇmZmT^\ICGkFV0][BDCUQ|R{Me\;i[M QeMji[MXBDkUTdMeB ·IË sÌ` \e¡ÍH_EKTaVi¢¡£Z[k[M7M|nmVIMXk[\DTdCFkH_ZQH_\Îi{ZVIMXJ(][\0JLCGgUTa`M2i{Z«¡£][B=Tdk[QYT]zM7i[M7QXCGk[iUTaVDTCGk[k[MXJ(MXkGVpi[M!Ï?Tg[g{\e¡ Ë Ð M(][B=Tdk[QYTd]M(MX\DVHK][]U`aTÇZ2Ml HLb `§¡=MYl VIZ[i[M i¢¡£Z[k\DoU\DVXMXb J(M(iUTd\I]CG\|HKkGVyi{MÒÑVÌoU]zMX\i[M(BDMX\I\ICGZ[BDQXMe\Xf3MXk ÇZ^HKkFVDTaVUMXl \?¥hkUTMX\efh]hH_B=V|HKEMXl MX\7]^HKB!ÓQY`aTMXkGVI\ Ë ÔÖÕ{× YØIÙGÚ Û x¢C_Tj`WTdJTWVIMQXCGk[iUTaVDTCGk[k[MY`a`M_f EFBIHKk[i[MX\ i2MYl TÜHVDTdCFk{\ef;TdkUÉÝCGBDJ HVDTdCFkÞi[MßZU`a`ghH_QSàzf ][RGoU\DTdÇmZ{M\DV|HVDT\<VDTÇZ[M_f{][BDCUQXMX\I\IZ[\ji[M\|HKZUVI\?QXCGkFVIBIHTdkFVI\Xfh\DoU\DVeMXb JLMX\Hb QHK]^HKQYTWVUMXl \2¥^kmTMX\ Ë áâã§äDåçæéè®ê<åWëGìGåWí§î @KïÎñzð òDóSôöõp÷[óSô¨øXùÌõDò§úûüöýXþõõ=ùÎñÿñ |ü¨ô
(17) FóYþô Sô õDûÝù . Unite´ de recherche INRIA Sophia-Antipolis 2004 route des Lucioles, BP 93, 06902 SOPHIA-ANTIPOLIS Cedex (France).
(18) . LÞ +2
(19)
(20) $0$ $Î%$Î
(21) $. . ! . × Ù × Ð FC k{\DTi{MeB0 Tdk[i[MX]zMek{i^H_kGV;QXCF]UTdMX\ XXX CKÉ¢HrHKBDà_C ?qDZ{JL](][BDCUQXMX\I\IMX\ ?TaVIR ¥^kUTaVIM \DV|HVIM(\I]^HKQeM_f 7 M \DVIZ[imoVIR[M(`WTdJTWVDTdk[E#gzMeRhHX TCGBC_É?H«V§oU]UTQH`2][BDCUQXMe\©\ef9\SHXo fE_Ta FMXk H QXCFk{iUTWVDTdCGk`aTàKM!¯N±Y ² ³W ´ µ9¶ ³ ·2¸¹ º¼ ½ <¾¿ ¸ À£Â <Ä?ÅcÆ ¶ TkyÉcH_QYV 7 M
(22) j TW`a`UQeCGk[\DTdi[MXBÎQXCGk[iUTaVDTCGk[\ !RmTQSR°HKBDM QY`dCF\©M!VICVIR[M)`ÜHK\DV7CFk{M ·IË v?RUTd\7Td\?H][BDCUQXMe\©\2 FMXBD\DTdCFkÒC_ÉHBDMX\IZU`ÜHV RUTdQ|R Td\7QH`W`dMXi VIR[M ÏTdg[g[\jQeCGk[iUTaVDTdCFkUTdk[E(][B=Tdk[QYT]m`M Ë vjRUTd\?][B=Tdk[QYT]m`MTd\!HK][]U`aTdMeiÒVICVIR[MH_khH`aoU\DT\ C_ÉpH\DoU\DVIMXJ RUTQSR R^HK\?\IMY GMeBIH`ÎàGTk{i[\?CKÉpBDMX\I\ICGZ[BDQXMX\7\IR^HKBDMXi¬gGo»VIBIH Q\ICGZ[BDQXMX\ Ë. Pru#NF{NuZ[gUqDMXQYV Ð `ÜHK\I\DTa¥^QHVDTdCFk
(23) !#"%$'& ()& * , +3.Ø - Õ / G Ð CFk{iUTWVDTdCGk^H`0`aTJTaV` H0f` HKBDEFM(i[MY TÜHVDTdCFk{\efÎß ZU`W`dg^HKQ|àtTdkUÉÝCFBDJ HVDTCGk¢f&\DV|HVDT\<VDTQH` ][RGoU\DTdQe\XfKqDZ[J(]°][BDCUQXMX\I\IMX \ jTWVIRtQXCFk{\DVIBIHTdkGVI\efm`CG\I\j\DoU\DVIMXJL\ Ë.
(24) .
(25) !#"%$&"'(
(26) )
(27) " *. +. ; # e . x9M][BDCGgU`cMXb J(M)i[Z QXCFk{iUTWVDTdCGk[k[MXJ(MekGV?HKZ[ÇZ[MY`¢CGk \e¡ÈTkGVUMXl BDMX\I\IMjTQYT3\IM]CG\IM?i{M!`ÜHJ HKkUTcMeb BDM\IZUTa _HKkFVIM CGk\IM7i{CFk[k{M2Z[k[M7\IZmTWVIM7i{M2 _H_B=TÜHKgU`MX\T Ë T Ë i ¶ ³ · ³-,'. / Hjb _H`dMXZ[BD\pihH_k[\Z[kMe\©]^H_QXM#0 f`dM7]U`dZ[\0EMXl k2MXl BIH` ]zCF\I\<TgU`dM Ë Ð R^HKÇZ[M; ³ ]MXZU2V MY1 VIBDM2 UZ[M7QXCFJ(J(M2BDMX][BMXl \IMXkGV|H_kGV0`§¡=MYl V|HV0i¢¡¨Z{k[M7]^HKB=VDTQXZU`dM ¶3 · i¢¡£Z[kEmH 4 Ë 5 k«Q|R[MXBDQ|R{M¤H`CGBD\2`ÜH`CKT9i¢¡¨Z{k[Mi[MQXMX\7 _HKB=TÜH_gU`dMX\?\ICGZ[\jZ[k[MQXCGkFVIBIHTdkFVIMyi[Z¬V§oU]M N ³ 6 ¹· 7¯ 8 ¶ ³W´ µ9¶ · ¸¹ Æ C9Z b µ 90;:< = f ¶ = MX\I]^HKQeMÒ`CUQH`MXJ(MXkGVÒQXCGkG FM|n{M°MXk EMel k2Mel BIH` ·IË µ9¶ ³ · ]zMXZUV \e¡ÈTkGVIMXBD][BMYl VIMXB QXCFJ(J(M`c¡=MXl k[MXBDEKTMi[M`ÜH(]^HKB=VDTQXZU`dM 3 MYV` H(QXCGk[iUTaVDTCGk#QXCFBDBDMX\I]zCFk{i,H(b Z[k{MQXCFkGVIBIHTkGVIM\IZ[Bj`§¡=MXl k[MXB=ª EKTME_`dCGg^H`dMi[Z'\DoU\DVeMXb JLM Ë P ZmVIBDMeJ(MXkGViUTaV `ÜH ÇZ[MX\DVDTdCGkMe\<Vyi{M¤QXCGk[k^H 1TWVIBDM` H¤`CKTpQXCGk[iUTaVDTCGk[k[MY`a`M ]^HKB¤BIHK][]zCFB=VtH b 6 ¶ ¹· i[M ¶ `dCFBD\©ÇmZ{M° VIMXk[i FMXBD\(`c¡ÃTdkU¥^kmT ·IË Ð M¬][BDCGgU`cMXb JLMtH¦MYl V{M l VIBIHTWVUM l ]^HKB >7H_\DTdQXMXà ¶ NF Âm·À @N ? Å MYAV >7HKk Ð H_J(]zMXk[R[CGZUVMYV Ð C GMeB ¶ NG[N ·À NX Å i^H_k{\i[MX\QH_\]^HKB=VDTdQeZmª `aTMXBD\efz]{ZUT\]^HKB Ð \DTd\B49H_l B ¶ NG_ ·YÀ Å i^HKk[\!Z{k[MEGBIH_k{i[MEMel k2Mel BIH`aTWVUM l Ë x9MBMXl \IZm`WV|HV MX\DV)ÇZ[MQXMYVDVIM`dC_T QXCFk{iUTWVDTdCGk[k[MY`W`dM)`aTJTaVIMMX\DV?CGgUVIMXkmZ{MMXk°J HnUTdJT\SH_kGV?Z[k{MQXMeB=V|HTdk[MMXkFVIBDCG]UTdM ¶ ªc`c¡ÈTkUÉÝCGBDJ HVDTdCGk¬i[M ßZU`a`dg^H_QSài¢¡£Z[k[M«][BDCFghH_gUTa`aTWVUM l ]hH_BBIH_][]zCGB=V°Htb `ÜHt`CKT7QXCFJ(JZ{k[M i[MX\ ³ · \IZ[BZ[k Mek{\IMXJgU`dM i[M J(MX\IZ[BDMX\!HKi2MXl ÇZ^HV Ë x9MEGBIHKk[i¬][B=Tdk[QYTd]Mi{MJÒHnmTJTd\|HVDTCGk¬i¢¡£MXkGVIBDCF]UTdMMXkt][RGo{\<TÇZ[M\<V|HVDTd\DVDTdÇmZ{MGf CGZ¬MXk°i3¡öHKZUVIBDMX\!i{CFJ HTk[MX\efmo VIBDCGZU GMHTdk[\DT9Z[ktQXMXB=V|HTdk ÉÝCGk[i[MXJ(MXkFV Ë Ð MX]zMXk[i^HKkFV)`dMX\][BDCFgm`cMXb J(MX\Mek#VIMXJ(][\J(CGgUTa`Mk¢¡£CFkGVH_]{]^H_BDMXJ(MXkGVy]hH_\#MYl VUMl QeCGk[\DTdi2MXl BMXl \)i^H_k{\)`M ]^HK\I\UM l Ë x9M ]U`dZ[\\DTJ(]U`dM \IM ]zCG\IM i[M(`ÜH#JÒHKkUTcMXb BDM \IZUTa _H_kGVIM `dMX\ D³ C ³ <¿ ¸ À£Â <Ä?Å \ICGkGVi[MX\ ][BDCUQXMX\I\IZ[\ J HKBDà_C TdMXk[\ i[M#\|HKZUVI\Hb MX\I]hH_QXMti¢¡=MYl V|HVI\ ¥^kU!T E Tdk[i2MXl ]zMXk[i^HKkFVI\ÒM®V Tdi[MXkGVDTÇZ[MXJ(MXkGV iUTd\DVIB=Tdg[Z2MXl \)M®V`c¡¨CGk#\e¡ÃTdkGV{MXl BDMe\©\IM¤HKZ°QXCGJ(]CGB=VIMXJLMXkGV)i[M <¿ ¸Àà<Ä?Å QeCGk[iUTaVDTdCFk[k{M®`a`dMeJ(MXkGVLHLb Z[k MYl ÊMel k{MeJ(MXkGV i{Z V§o{]zM N ³ 6 ¹· 7¯ 8 ¶ ³W´ µ&¶ · ¸ ¹ ¾¿ ¸ À£Â <Ä?ÅcÆF µ FEG:< s£w ½ ÑHN `dCFBD\IÇZ[M i[MY TMXkGVEFBIHKk[i I ¶ ¹ MX\DV)Z[k#\ICGZ[\?MXk[\IMXJgU`MQXCFkG FMXk^HKgU`dMi[M s£w ½ MYV K Ä J  MX\DV?¥Un2M l ·IË Ð M ][BDCFgm`cMXb J(M?MX\DV0JLCKVDTa ÊM l ]^H_B&`§¡ÌMYl VIZ[i[Mji¢¡¨Z{kLJ(CUi3MYb `dM7i[M7\<o{\<VeMeb J(M7i{M?QXCFJ(JZ[kUTdQHVDTdCFk ¶ QYÉ Ë @L%NM · I Ta`H,Mel EH`MXJ(MXkFVj` H(OJ MX1 J(MTdkFVIMXBD][BMYl V|HVDTCGkMXk¬VIMXBDJ(Mi{M][RGoU\DTÇZ[M\DV|HVDT\DVDTdÇZ[MÇZ[MyQeMY`a`Mi2MXl QXB=TWVIM QYTWª§i[MX\I\IZ[\ QË P ki[MX\CGgUqDMXQ®VDTaÉÝ\i[M QXMVIBIHX _HTW`2MX\DVi¢¡ÍH_]{]CGB=VIMXBi[MX\'MYl `®MXl J(MXkFVI\i[M(BmMXl ]CGk[\IM#H«b QeMYVDVIM ÇZ[MX\DVDTdCFk Ë x9M(BMXl \IZU`aV|HVQeCGk[QXMXBDk^HKkFV`ÜHÒ`CKTp`aTdJ¤TaVIM QXCFk{iUTWVDTdCGk[k[MY`W`dM MXkVIMXJ(][\¥{n{M(MX\DVQXCGk[kZ\ICGZ[\`dMLk{CFJ i[M][B=Tdk[QYT]zM!i{M!QXCGk[iUTaVDTCGk[k[MXJ(MXkFV7i{MyÏTdg[g[\ Ë s§`¢HVIBDCGZU ;Ml i[MX\7H_][]m`WTdQHVDTdCFk{\ÊihH_k[\;i[MX\2i[CGJ HTdk[MX\ _HKB=T®MXl \ ¶ VIBIHTWVIMXJ(MXkFVi¢¡ÃTdJ H_EGMX\efzQXCGk[QXMe]mVDTCGRk >xuGs eX ·IË 5 kMek]{BDCF]zCF\©MZ[k[M(i^HKk[\`dMLi{CFJ HTk[M i[MX\?\<o{\<VeMeb J(MX\i[MQXCFJ(JZ{kUTQHVDTCGk Ë SS T ïBU ô WV YXSü¨ù[Zþ)ò Q\ ùcüöòDþô¨üöõ Zõô ]Zü ù ÝüþùcüöóYû üöòcóò Yûó®ûeüöýeþõ^'_®óSü ®þ Ýü. o[o ûqpsr l't e. Xù cóóòa` bGõ=ü¨ùÌóYþûüdcfe ThgjikTjlnm .
(28) . & M& . . M( MM . x9MX\JLCUi3M®b `dMX\?QY`ÜH_\I\<TÇZ[MX\?i{Me\\DoU\DVXMXb J(MX\?VIMY`d\!ÇZ[My`MX\BmMel \©MHKZmnti{MQXCFJ(JZ[kUTdQHVDTdCFk¢fhM E `dMX\!J(CKª 3i MYb `dMe\(i[MFHKQ|à\ICGkCFZ i[MtßMY`W`aoFf0]MXBDJ(MYVDVIMXkFV i¢¡£CGgUVIMXkUTB`dM¬BMXl EKTJ(M¬\<V|HVDTdCFk{k^HTdBDM ª§][Ë BDCFË ghH_gUTa`aTWVUM l TdkF _HKB=TÜH_kGVIM i3¡¨Z[k ][BDCUQXMX\I\IZ[\Òi[M rHKBDà_C BDMX][BMXl \IMXkGV|HKkFV«`§¡ÌMYl V|HVti[Z \DoU\DVeMXb JLMYª \ICGZ[\ Z[k{MÉÝCFBDJ(M M|n{]U`WTdQYTWVIM Ë Ð MX]zMek{i^H_kGV;`dM?QH`dQXZU`M 3MXQ®VDTaÉ9MYV imTBDMXQYV2i[M!QXMYVDVIM][BDCFghH_gUTa`aTWVUMl \DV|HVDTCGk[k^HTBDMjk¢¡£Me\<V ]zCG\Dª \DTdgU`dM ÇZ[M)]zCFZ{B;`MX\ ¡£]MYVDTaVI\e¡m\DoU\DVeMXb JLMX\ ¶ k{CFJg[BDM)ÉcHTdgU`dM!i{Mk[CUMXZ[i[\2MYV7i[M`WTÜHT\ICGk[\ · fHb QHKZ[\IMi[M` H QXCFJ(]U`YM|l nmTWVUMl QXCGJgUTdk^HVIC_TdBDMi[MX\jÉÝCFBDJZU`MX\ Ë Ð M]{BDCFgU`éMXb J(Mi{MQeCGJ(]U`®MYl nmTaV{Ml \IM#BDMYVIBDCFZU GMMXki[MX\ VIMXBDJ(MX\ ]^HKBDMYTW`d\¬MXk][RGoU\DTdÇZ[M\DV|HVDT\<VDTÇZ[M C9Z b `c¡£CFk Q|R{MeBDQSR[MMel EH`MXJ(MXkFV` HiUT\<VIB=Tg[ZmVDTCGk i[M¬]{BDCFg^HKgUTa`WTaVUMtl i[MX\,MYl V|HVI\¤i3¡=MXl ÇZUTa`WTdg[BDM#ÇZUT?]zMeZmª FMXkGV¤i{CFk[k{MeB `WTdMXZ`<H#b HKZ[\I\DTHtb i[MX\][BDCGgU`cMXb J(MX\i[M QXCGJgUTdk^HVIC_TdBDM ]CGZ[BQH`QXZU`dMXB` HÒÉÝCGk[QYVDTCGki[M ]^HKB=VDTWVDTdCGk Ë >2ZtQeMX\HKk^H`dCGE_TdMX\?MYV)`MX\)\IZ[QXQMXl \!BDMXJ(]CGB=VUMXl \]^HKB?`ÜH ][RGoU\DTdÇmZ{M¤\DV|HVDTd\DVDTÇZ[M_f^TW`MX\DVHK\Dª \I
(29) M 4k^HVIZ{BDM®`0i¢¡£MYnhHKJTk[MXB)`c¡=MYl GMekGVIZ[MY`a`M(ZUVDTa`aTWVUM(l i[MX\J,MYl VIR[CUi[MX\i[M` HÒ][RGo{\<TÇZ[M(\DV|HVDT\<VDTÇZ[M(i^HKk[\ `c¡=MYl VIZ[i[Mi[MX\EGBIH_k[i{\!\DoU\DVXMXb J(MX\i[MQXCGJ(JZ[kUTdQHVDTdCGk ËQP k#i[MX\][BDMXJTMXBD\)VIBIHX _HKZmn H`a`ÜH_kGV)i^H_k{\ QXM \IMXk[\ ¶ MYVÇmZmTpMXkH(Tk{\I]UTdBmM¤l i¢¡ÍHKZUVIBDMX\]^H_Bj`ÜH \IZUTaVIM¤QYÉ Ë M Ë E Ë
(30) À Å f À NGN Å f À N Å · MX\DV QXMY`dZUTpi[M 2MXk[M \ À N Å Ë s§`&i2Mel QXB=TaV2`MX\ MYl V|HVI\7i[Z \<o{\<VeMeb J(M)]^HKB2Z[k¬MXk[\©MeJgU`dM i[CGkGV2`MX\ MYl `®MXl JLMXkGVI\ «BDMe]{BmMel \©MekGVIMXkGV?`dMX\2BDMe\<ª \ICGZ[BDQXMX\7CUQXQeZ{] MXl Me\Hb Z[k Tdk[\DV|HKkGV?i[CGk[k2M)l MXk¬QSR^H_ÇZ[M Í]zC_TdkGVe¡Ui[Z«BmMXl \IMH_Z Ë P`CGBD\7MXk i2MXl \DTdEGk^H_kGV7]^HKB `ÜH(\ICGJ(JLMX\i[MVICGZUVIMX\`MX\BDMe\©\ICFZ{BDQeMX\CUQXQeZ{] MXl Me\ ¶ CFZÒ`Mk[CFJg[BDMVICKV|H`Îi[MX\yHK][]zMY`\jMek#QXCGZ[BD\ · `dCFBD\IÇZ[M`dM¤BMXl \IMHKZMX\DVi^HKk[\)`c¡=MYl V|HV &f3MYV]^HKB `ÜH ][BDCGg^HKgUTW`aTaV{MLl i3¡¨Z[k#VIMY`M®l V|HVef` H imT\DVIB=Tdg[ZUVDTdCGk i¢¡=MXl ÇZUTa`WTdg[BD M \IZ[ B MX\DV!CGgUVIMXkZ[MMXk°J HnUTdJT\SH_kGV?`c¡£MekGVIBDCG]UTdM ¶ · 7 : 8 !#" $% , \ICGZ[\7`ÜHQXCFkGVIBIHTkGVIMÇZ[M`dMV|H¥^QJ(CoFMXkti^HKk[\7`dMBMXl \IMH_Z«MX\DV?¥{nÊM l 8. , . ' 7 &. r#CoGMekhH_kGV!QXMX\?]zCG\DVIZU`ÜHVI\ ` HiUTd\DVIB=Tdg[ZUVDTdCFkti¢¡=Mel ÇZUTa`aTg[BDMMX\DV?i[CGk[k2MXl M]^HKB A7 + (*) ) + ¶-, · 7 8 , ) ) & 7 ( . !" . $/+ ¶ ( · , ¶( · ( VQeCGJ(J(M¤MXk#][RGoU\DTÇZ[M(\DV|HVDTd\DVDTÇZ[MCGZihH_k[\`dM¤J(CUi3MYb `dMi[M(ßMY`a`Wo«`M][BDCGgU`cMXb J(Mi[ZQH`dQXZU`i[M `ÜHÉÝCGk[QYVDTdCFk«i[M]^HKB=VDTWVDTdCGk°\IMBDMYVIBDCGZU FMi^HKk[\?QXMQH_\jQYÉ ËÀ N Å ]CGZ[B?]m`Z[\ji[Mi2MYl V|HTW`d\ Ë x9M J(CUi3MYb `dM¬ÇZ[MÒ`§¡£CFk ][BDCG]zCF\IMLTQYT?MX\DVg^H_\UM l \IZ[B`§¡ÈTdi MXl M¬\IZUTa _HKkFVIM pZ[k[M«JÒHKkUTcMXb BDM¬i¢¡=MYl _H`dZ[MXB`dMX\ ]zMeB=ÉÝCGBDJ H_k{QeMX\ ¶ CFZ«`MX\j]MXB=VIMX\ · i^HKk[\?Z[kt\DoU\DVXMXb J(Mi[MQHK]^H_QYTaV{M)l ¥^kUTdMMX\DV!i{MQXCFJ(]^HKBDMXB2`MyQeCGJª ]zCFB=VIMXJ(MXkFV¡È`WTdg[BDM_¡hi[MX\!ZmVDTW`aT\SHVIMXZ[BD\jT Ë M Ë `CGBD\IÇZ[M`dM\DoU\DVXMXb J(MH(Z[k{MQH_]^HKQYTWVUM)l TdkU¥^kmTMMYV`MyQeCGJª ]zCFB=VIMXJ(MXkFVQXCGk[iUTaVDTCGk[k[MY`0i[M¤QXMXZmnQYTp]^HKB)BIH_][]zCGB=VÒH¤b ` HÒQeCGkGVIBIHTdkGVIM¤i{MLQHK]^HKQ®TaVUMl ¥hkUTM Ë rH`dEFBM l ÇZ[MY`ÇZ[MX\7HKk^H`CGE_TdMX\ÎMXkGVIBDM!QXM?J(CUi3MYb `dM?MYV;QeMY`dZUT^i[0M 2MXk[M \ ¶ CFk(\e¡ÈTkGVUMXl BDMX\I\IMjk[C_V|HKJ(MXkFV2HKZLQXCGJ(]CGB=ª VIMXJ(MekGVJ HKQXBDCF\IQXCG]UTdÇmZ{MLi{Z\DoU\DVXMXb J(M MekÉcHTd\|HKkFVHKg[\DVIBIHKQYVDTCGki[M \|HLVICF]zCK`CGE_TdM · f3QXMXZmn QYTÊ\©CFkGV iU1T !MXl BDMXkGVI\ef;CGZUVIBDM«i[ZÉcHTaVLÇZ[MÒ`MX\Ti2Mel MX\(i[M«g^H_\©M k[M¬\©CFkGV(]^H_\`dMe\(OJ MX1 J(Me\Xf0]CGZ[B`MX\BIHTd\ICGk[\ U ÿ o U32.
(31)
(32) !#"%$&"'(
(33) )
(34) ". ?. \IZUTa _HKkFVIMX\ x9MBMXl \IMHKZ¬k¢¡£MX\DV!]hH_\i2MXl QXB=TWV]^H_Bji[MX\? _HKB=TÜH_gU`dMX\!BDMX][BMXl \IMXkGV|HKkFV)\IMX\?imT !MXl BDMekGVI\tMYl V|HVI\Xf[CGkt\e¡ÃTdkGVeMYb ª BDMX\I\IM]U`dZUV CK1 V HKZ°QXCGJ(]CGB=VIMXJLMXkGV?i[MX\ZUVDTa`WTd\|HVIMeZ{BD\ Ë 5 k][BDMXk[i MXk,QXCGJL]mVIM M ¢MXQYVDTW GMXJLMXkGV(` HtQXCGkFVIBIHTdkFVIM«i[M `aTJTaV|HVDTdCGk i{Me\BDMX\I\ICGZ[BDQXMe\ÇZUT?MX\DV BMXl MY`W`dMH`CGBD\?ÇZ[AM > Ë 2MXk[M \7][BDMXk[itQXCFJ(J(MQXCFkGVIBIHTkGVIMZ{k¬VIBIH¥^QJ(CoGMektQXCFk{\DV|H_kGV Ë ` HyVIMXQ|R[kUTdÇZ[Mi[M)J HnmTdJT\|HVDTdCFk i3¡¨MXkGVIBDCF]mTMÇZUTÎHK][]^HKBIHTaV2QeCGJ(J(M Z{k¬][B=Tdk[QYT]zM)i^HKk[\2`ÜHVIR2MXl CKª B=TdMi[M 2MXk[M \Xf[\©MBDM®VIBDCGZU GMi^HKk[\j`M]{BDCFgU`éMXb J(MÇZ¢¡¨CGk«VIBIHTaVIMXBIH(QeCGJ(J(MZ[ktBmMel \©ZU`WV|HV ¶ J HT\i^HKk[\ Z[ktQXCFkGVIM|nmVIMiU1T !MXl BDMXkGV ·IË 0kU¥^kCGk ]zMeZmV iUTBDM_fVIB®Meb \Ò\IQ|R2MXl J HVDTÇZ[MXJ(MXkFVefÊÇZ[Mt` H'i2MXl J H_BDQSR[M#i[M > Ë 2MXk[M \(QXCFBDBDMX\I]zCFk{i H b `c¡¨MXk[\IMXJgU`MtQH_k{CFkUTdÇZ[Mti[M¬`ÜH][RGoU\DTdÇZ[M#\DV|HVDTd\DVDTdÇZ[MH`dCFBD\(ÇZ[M«`MtJ(CUi3MYb `M«ÇZ[Mt`§¡£CFk ]{BmMel \©MekGVIM QXCFBDBDMX\I]zCGk[i Hb `c¡¨MXk[\IMXJgU`MyJ¤TdQXBDCUQH_k[CGkUTdÇZ[M ¶ H_Zt\IMXk[\ji[M À N Å ·IË SS. 9x Mt][BMXl \IMXkGV VIBIHX _HTW`)MX\DV CFBDEHKkUT\UM¬l QXCFJ(J(M#\IZUTaV Ë P)ZY CGk][BMXl \IMXkGVIMt`M#J(CUi3MYb `M#HKi[CF]mV{M°l ÇZUT ÉcHTWV`M«`aTMXk MXkGVIBDM¬`ÜHÇZ[MX\DVDTdCFk i[Z QXCGk[iUTaVDTCGk[k[MXJ(MXkGVÒMYV(`c¡=MYl _H`Z^HVDTdCFk i[MX\ ]zMeB=ÉÝCGBDJ H_k{QeMX\i[MX\ \DoU\DVXMXb J(MX\Li{M°QHK]^H_QYTaV{MXl \¤¥hkUTMX\ Ë Ð MXQYT!MX\DVTW`a`Z{\DVIBmM#l ]^H_B`c¡¨M|n{MXJL]m`M#i[MX\(BmMXl \IMH_Zmn,RUT®Mel BIHKBDQ|RmTÇZ[MX\ Ë x9 M Y MX\DV QXCFk[\SH_QXBM°l HKZmn ][BDCFgm`cMXb J(MX\Hb VIMXJ(][\ ¥{n{M ,C9Zb `dMe\( Ë H Ë ³ \ICFkGVH'b _H`dMXZ[BD\ i^HKk[\ Z[kMXk[\©MeJgU`dM¥^kmT Ë 5 k#oBIH_]{]MY`a`M`M(BMXl \IZU`aV|HV\IZ[B` HL`CKT;QeCGk[iUTaVDTdCFk[k{M®`a`dM`aTJTaVIM(i[M M®VCGk Tdk[iUTdÇmZ{M i3¡öHKZUVIBDMX\7BMXl \IZU`aV|HVI\2i{M QXCGkG FMXBDEFMXk[QXM Ë Ð MXZmnÒQYT\ICGkGV7Mek{\IZUTaVIM HK][]U`aTÇZ2MXl \H b `§¡£M|n{MeJ(]U`dM)i[MX\ \DoU\DVXMXb J(MX\2RUT®MXl BIHKBDQ|RUTdÇZ[MX\ Ë P Z © CGk MYl VIZ[iUTdM!`dMX\2][BDCGgU`cMXb J(MX\Hb VIMXJ(][\2J(CFgmTW`dM G`dMX\; ³ \ICGkGV2QeMYVDVIM ÉÝCKT\Îi{Me\&ÉÝCFk{Q®VDTdCGk[\H`®Ml HVIC_TdBDMX\ÎMYVÎ`§¡£CGk\e¡ÈTkGVUMXl BDMX\I\IMHjb `ÜH7`dC_TUQXCGk[iUTaVDTCGk[k[MY`a`M;`aTJTaVIM7i[M; <¿ ¸ Àà<Ä?Å \ICGZ[\Z{k[M¬QXCGkFVIBIHTdkFVIM«\IZ[B ¡Ã`c¡=Mel k{MeBDEKTdM J(CoFMXk[k[M_¡H#b QSR^HKÇmZ{M Tk{\DV|H_kGV Ë Ð M¬QHK\MX\DV¤gmTMXk MXkFVIMXk[i{Z ]U`dZ[\«TkGVUMXl BDMX\I\|HKkFV#J HTd\tMek QXCGkFVIBDMX]^HKB=VDTdM`dMe\tBMXl \IZU`aV|HVI\tQXCFBDBDMX\I]zCGk[i^HKkFVt\ICGkFVt]MXZ M|n{]U`WTdQYTWVIMX\ Ë 5 k VIBIHTWVIM#i¢¡ÍHKgCGBDi `dM°QHK\ i[MX\ Q|R^H 1Tk{Me\ i{M'rHKBDà_Ce S NtÇZUT ]zMXBDJ(M®V i{Mi{M® Tdk[MXB(` HÉÝCFBDJ(M i[MÒ` H#`dCKT?QXCFk[imTWVDTdCFk{k[MY`W`dM `aTJTaVIMMYl FMXkGVIZ[MY`a`Mti^HKk[\`M«QHK\VIMeJ(][\(QXCGkFVDTdkZ I;QXM«i[MXBDkUTMXB(QH_\MX\DV VIBIHTWVUM«l Mek J(CUiUTa¥HKkFV`®Mel E{MXb BDMXJLMXkGV(` HtÉÝCGBDJ(M¬i[MÒ`§¡ÌMYl ÊMel k{MeJ(MXkGV 6 ¶ ¹· f S F ICGk i{CFk[k{MeBIHt`dMX\ QH_BIHKQYV{MXl B=T\DVDTdÇZ[MX\?i[Zt][BDCUQXMX\I\IZ[\ \ICGZ[\7QXMYVDVIM`dC_T9`aTdJ¤TaVIM Ë. .
(35) #
(36)
(37)
(38) !"$#. 5 k QXCGk[\DTdi3MXb BDM)Z[k¬\DoU\DVXMXb J(M)ÇZUT9]CG\I\XMXb i[M)Ñ V§oU]MX\?i{M BDMX\I\©CFZ[BDQXMX\2MYV!HKZ[ÇZ[MY`&]zMXZU FMXkGV!HKQXQMXl i[MXB7 QY`WTdMXkGVI\ Ë Ð MX\?BDMX\I\©CFZ[BDQXMX\?\©CFkGV7`aTJTaV{MXl Me\MXk°k{CFJg[BDMi[M ! XaWa ! Z[kUTaV{MXl \!BDMX\I]zMXQ®VDTa FMXJ(MXkGV Ë uGTh`MX\2BDMX\I\ICGZ[BDQXMX\¤MYl V|HTMXkGV2TdkU¥^kUTdMX\2Z[k QY`WTdMXkGVÒM®l GC_`dZ[MXBIHTWV2i[MJ H_kU½ TéMXb BDMH`®Ml HVICKTBDM_fKTdi[MXkGVDTÇZ[M ¶ HKZmn · MYV?Tdk[i2MXl ]zMek{i^H_kGVIM ¶ i[MX\ · HKZUVIBDMX\ZUVDTW`aTd\|HVIMXZ[BD\Xfhi^H_k{\!Z[ktMX\I]^HKQXMi¢¡=MYl V|HV!¥hkUT E 7Ö¯&%(' XWaa %() Æ Ë 5 k \IZ[]{]CG\IM H_Z{\I\DT2ÇZ[M `c¡¨CGk iUTd\I]zCF\©MLi3¡¨Z[k{M ÉÝCFk{Q®VDTdCGk µ #E :< sÃw ½ ÇZUTHtb QSR^H_ÇZ[M M®l V|HV¤HK\I\ICUQYTdM `dMe\(ÇZ^HKkGVDTWVUMXl \ ZUVDTa`aT\UMXl MX\(i[MtQ|R^HKÇZ[M°BDMX\I\©CFZ[BDQXMX\ Ë x¢M¬QXCFJ(]zCFB=VIMXJ(MXkGVÒBMXl MY`!i{Me\(ZUVDTa`aT\|HVIMXZ[BD\ MX\DV o[o ûqpsr l't e.
(39) & M& . . M( MM . i[CGk[k2Ml ]^HKB7`dMXZ[B7QXCGJL]zCGB=VIMeJ(MXkGV M QXCFk{iUTWVDTdCGk[k2Ml ]^HKB2`dMÉcHTaV?ÇZ[M`dMX\?BDMX\I\ICGZ[BDQXMX\7ZUVDTa`WTd\UMXl MX\ H(b Q|RhH_ÇZ[MTdk[\DV|HKkGV!k[M]MXZU GMXkFV)]^HK\?i2MXl ]^HK\I\IMXB®fhMXktÇmZhH_kGVDTaV{MGl f[`MX\BDMe\©\ICFZ{BDQeMX\jiUT\©]CGkUTdgU`MX\ Ë 5 k¬\IM ]zCF\IMH`dCFBD\2`dMX\!]{BDCFgU`éMXb J(Me\j\IZUTa _H_kGVI\ . Õ Ú
(40) { ' × U9. k \©Z[][]zCF\IMtÇZ[Mt`MX\ ZmVDTW`aT\SHVIMXZ[BD\ \©CFkGV BDMX][BMXl \IMXkGV{Mel \Ò]^H_B i{Me\L _H_B=TÜH_gm`MX\ T Ë T Ë i Ë eaaWa H b _H`MXZ[BD\i^HKk[\DEÞMYV!i2MYl ¥^kmTMX\?\©Z[B?Z[ktMX\I]^HKQXMi[M][BDCGg^H_gmTW`aTWVUM l ¶ « sÃA ·IË 5 k°]zCG\IM s£A ¶ ³ 7% · 7 xÎHQXCFk{iUTWVDTdCGk¬i[M`aTdJ¤TaV|HVDTCGk°i{Me\jBDMX\I\ICGZ[BDQXMe\j\e¡=Mel QXB=TaV 8 ³ ·7¸¹ ' ¹ ']7 ½ Àà! Å º sÃw ½ 9 µ ¶ ³W´ I´ x9MQXCGJL]zCGB=VIMeJ(MXkGV!BMXl MY`Îi[MX\?ZUVDTa`aT\|HVIMXZ[BD\Me\<V!i[CGk[k2Ml ]^HKB 7sÃA ¶ ³ 7% 8 µ9¶ ³ · ¸¹ ' · ³W´ 0k¬]^HKB=VDTdQeZm`WTdMXB;`§¡£MX\I]2MXl BIH_k{QeM)i[M`ÜHÇZ^HKkGVDTWVUMl i{M BDMX\I\©CFZ[BDQXMX\2ÇZ[Mi[MXJ H_k{i[MXkFV2`dMX\7ZUVDTa`WTd\|HVIMXZ[BD\7MX\DV ³ 8 7 8 % · D · · ¶ ³W´ µ9¶ ´ ' µ&¶ ¶i[CGMk BDMXH \I\©OJ CFZ[MX1 J(BDQXM°MX\7NB±YMXl MY`W`d² MXJ(³a ´ Me kGµ9V)¶ ZU VDTa³ `W·DTd·\UMXl :M< MX\DV ² ´ ' µ&¶ % · sÃA :! # "_ · MYV`§¡£MX\I]2MXl BIH_k{QeMi[M`ÜH ÇZ^HKkFVDTaVUM l ³ ³ 8 8 8 % ' 7 ¶ ³W´ µ9¶ · ³W´ µ&¶ · ¸'¹ · ´ ' µ9¶ · 5 kM®l V|HKgU`aTBIH(Z{k°BMXl \IZU`aV|HV!i[M)V§oU]MQeCGkG FMXBDEGMek{QeMMXkt][BDCGg^H_gmTW`aTWVUM l \ICGZ[\ `MX\?QXCGkGVIBIHTdkGVIMe\ · ¶ N 8 ³ : < 8 ) % ³a´ µ9¶ · ´ ' µ&¶ · ][BDCG] N C9Z b A7Þ`WTdJ fm][BDCG] N N CFk{Q?`ÜHi2MYl VIMXBDJTkhHVDTdCFk«i[MX\7][BDCGg^HKgUTW`aTaV{M l QXCGk[iUTaª VD¶ TdCFk[k{M®Ë `a`dMeË \ Ë Ë · i[CGk[k[M#i[MX\ BD MXk[\IMYTdEFk{MeJ(MXË kGVIË \ Ë TdkF%Ë VU$ MXl BDMX\I\|HKkGVI\ \IZ[B(`dMX\ ]zMeB=ÉÝCGBDJ H_k{QeMX\ i{Z\DoU\DVXMXb J(M Ë Ð MQH_\)]zMXZUV\e¡ÍH_][]m`WTdÇZ[MXB MXk]^HKB=VDTdQeZm`WTdMXBH_Zmn][BDCGgU`cMeb J(MX\i[MX\HKQeQzMXl \)QXCFk[QXZ[BDMXkGVI\ H b Z[kTk[\<V|H_kGV i[CGk[k2M l Ë U '& Î ( $ HKk[\VICFZUVIM`ÜH \IZUTaVIMCFk]zCF\©MeBIH ! ³ 7}* ) ³ 3 7 N XeX . I Li{C_TaV M®1 VIBDM UZ[M QXCFJ(J(M Z[k[MÒMe\<VDTJ HVDTCGk,HK\DoUJ(]UVIC_VDTdÇZ[M i[M ÇZUT7i2MXl ]MXk[i{BIH°i{Me\+) ³ Ë 0kU¥^k `§¡ÌMYl ÊMel k{MeJ(MXkGV ]^HKB7`dMXÇmZ{M®`ÎCGk¬QXCGk[iUTaVDTCGk[k[M\X¡=MXl QXB=TBIH(i2Mel \©CFBDJ HT\ N ³ 6 ¹· 7¯ 8 ¶ ³W´ µ&¶ · ¸'¹ ÆG ¹ 7 © ´ ½ À£Â )-, Å º sÃw ½ 5. U ÿ o U32.
(41)
(42) !#"%$&"'(
(43) )
(44) ". . Õ Ú
(45) { ' × U Õ ÜÚ . 5 k ¥Un[M#Z[k TkGVIMXB= _H`W`dMi[MtVIMXJL]{\ 5 k\IZ[]{]CG\IMtÇmZ{M#`§¡=MYl FCK`ZUVDTdCGki[MX\ ZUVDTa`WTd\|HVIMXZ[BD\ MX\DV [i CGk[k2MXl M2]^HKBÎi[MX\Î][BDCUQXMX\I\IZ{\9 XWaW Àà<Ä?<¿ Å Ë ¸ Àà<Ä?Å Tdk[i2MXl ]zMek{i^H_kGVI\M®Vi[M2JMe1 J(M;`dC_Tcfi[CGkFV&`§¡£MX\I]^HKQeM i[MX\¬M®l V|HVI\Me\<V E!fhi2M®l ¥hkUT\\IZ[BZ[ktJMe1 J(MMe\©]^H_QXMi[My][BDCFghH_gUTa`aTWVUM l ¶ « sÃA ·IË s<QYTÎ`ÜH(QXCFk[imTWVDTdCFkti[M `aTJTaV|HVDTdCFkti[MX\?BDMX\I\©CFZ[BDQXMX\?\X¡=MXl QXB=TWV N ³ 6 ¹· 7¯ 8 ¶ ³W´ µ9¶ |· ¸ ¹ ¾¿ ¸ À£Â <Ä?ÅcÆ ¹ 7 I½ ´ Àà) Å º sÃw ½ MYV?`dMQXCFJ(]zCFB=VIMXJ(MXkGV?BmMXl M®`Îi{Me\ZUVDTa`WTd\|HVIMXZ[BD\?MX\DVi[CFk{k Ml ]^HKB7`ÜH¤]{BDCFg^HKgUTa`WTaVUM l \IZ[B ¶ · 7sÃA ¶ ¸ 6 ¶ ¹·D· x9Mg[ZUV#MYl V|H_kGVi¢¡£CGgUVIMXkUTB)i[MX\)TdkUÉÝCGBDJÒHVDTdCFk[\)\IZ{B!`dMQeCGJ(]CGB=VIMXJ(MekGVi[M \ICGZ[\` HÒ][BDCFghH_gUTa`aTWVUM l `CGBD\IÇZ[M( VIMXk[i# GMeBD\)`c¡ÈTkU¥hkUT Ë 0kQeMÇZUTpQXCGk[QXMeBDk{M`dMX\ BDMX\I\©CFZ[BDQXMX\ZUVDTW`aTd\{MXl Me\Xfh`M][BDCGgU`cMeb J(M MX\DV?`dMJ MX1 JLMyÇmZ3¡¨MXk«VIMeJ(][\j¥{n{M Ë. . ! . v MXJ(][\¬J(CGgUTa`M 5 k\©Mi{CFk[k{MZ[kBMXl \IMHKZRUT®MXl BIH_BDQSRUT\UMl \IZ[B iÞkUTW GMH_Zmn Ë AH_B«MYn{MXJ(]U`dM#`M BMXl \IMH_ZtVIMY`dMe]{R[CFkmTÇZ[M(C9Z¬b `c¡£CFk#VIBDCGZU FM`dMX\yHKgzCFk[k2Mel \ MXkk[CGJg{BDMLÁVIB®MXb \EFBIHKk[i H_Z#kUTa FMHKZ f `dMe\;QXMXkGVIBDMe\0`dCUQH_ZmnLH_Z(kUTa FMHKZtNGfK`dMX\;QeMXkGVIBDMX\)Hb H_ZmVICFk[¶ CGJTMji¢¡ÍH_QSR[MXJ¤Tdk[MXJ(MXkFV ¶ Ð P · P · H_Z(kUTa FMHK Z Uf&`MX\QeMXkGVIBDMX\¤i{M VIBIHKk[\DTaV¤\IMXQXCFk{i^HTdBDMX\ ¶ Ð v u · H_ZkUTa FMHKZ UfMYVLMXkU¥^k `dMe\QXMXkFVIBDMX\i[M VIBIHKk[\DTaV ][B=Tdk[QYT]hH_Zmn ¶ Ð v!A ·IË s=Q®T0CFktÉcHTWVHKg[\DVIBIHKQ®VDTdCGk°i[M`ÜHVICF]zC_`dCGE_TdMi[Z#BMXl \IMH_Z#MYVCFk#\IMyi[CFk{k[M\IMXZU`dMXJ(MekGV)`dMk[CGJg[BDMi[M BDMX\I\ICGZ[BDQXMX\¤]^HKB(kUTa FMH_Z 0Z[kHK][]zM®` `CUQH`7k MXl QeMX\I\<TWVIM«\IMXZU`MXJ(MXkGVLZ[k QHKk^H`7iUT\©]CGkUTdgU`M«i^HKk[\`M QXCFJ(JZUV|HVIMXZ[Bi[MkUTW GMH_Z NLfzCGk°\IZ{][]CG\IMÇZ¢¡ÈTa`Îo°MXk#H ) HKZ¬VICKV|Ha` IhZ[kHK][]zM®`9TdkGVIMXBDk^HVDTdCGk^H` k[MXQXMX\I\DTaVIM?`c¡¨ZmVDTW`aT\SHVDTdCFkÒi¢¡¨Z{k QH_k^H`¢HKZ kUTa FMHKZNGfFZ[k QHKk^H`zi[Z kUTa FMHKZ¬MYVIQ ËaËWË 2BDMYÉÎCFk \©Z[][]zCF\IM ÇZ¢¡H(b Z[k[MQXCGJLJZ[kUTdQHVDTdCFktQXCFBDBDMX\I]zCGk[i°Z{k°kUTa FMHKZ¬TM®VÇZ¢¡¨MY`a`MyZUVDTW`aTd\IMZ[k{MZ[kUTaV{Ml i[MyBDMe\©\ICFZ{BDQeM i[MQ|R^HKÇZ[MkUTW GMH_Z , 3 Ë uC_TaV* ) XWaW * ) )`dMe\ÇZ^HKkGVDTWVUMXl \EK`dCFg^H`dMe\i[MBDMX\I\ICGZ[BDQXMe\)i[MQ|RhH_ÇZ[M kUTa FMHKZ°i[CGkGV!iUTd\I]zCF\©M!`dMBMXl \IMHKZ Ë l ]^HKB7Z[kÒ][BDCUQXMe\©\IZ[\ P k¬HKgCGk[k2M l ³ 3 iUT\©]CG\|HKkFV2i[M)VICGZUVIMX\2`dMX\?BDMX\I\ICGZ[BDQXMX\2ÇmZ3¡ÃTa`3ÉcH_ZUVjMe\<V7BDMe]{BmMel \©MekGVUM i[Mt\|HKZUVI\ Hb MX\I]hH_QXMX\¤i3¡=MYl V|HVI\ E 7 &¯ %(' XaWa %() Æ I;QXMX\(][BDCUQXMX\I\IZ[\(\ICGkGVLTdk[i2MXl ]zMXk[i^HKkFVI\ MYV i[M J MX1 JLM`dC_T Ë s§`pCUQXQXZ[]My`§¡ÌMYl V|HV)i[MBDMX]CG\ %(' ¶ C9Ztb Ta`k[MQeCGJ(JZ[kmTÇZ[M]^HK\ · ]zMXk[i^HKkGVyZ{k[M¤i{Z[BmMXl M ' ][ZUTd\2]^HK\I\IMH!b `§¡=MYl V|HV %
(46) HN ¶ `c¡öHKgzCFk[k2M?l MX\DV2MXkLQXCGJ(JZ[kUTdQHVDTdCGk M®V2ZUVDTa`aT\IMj\DTdJZU`aV|H_k2Mel J(MXkGV7Z[k[M Z[kUTaVUM l i[M(BDMX\I\ICGZ[BDQXMX\i[MX\kUTa FMH_Zn N XXe
(47) · C9Z°b Ta`2BDMX\DVIM(Z[k[M(i[Z[BMXl M ][ZUTd\BDMY mTdMXkGV¬H b %('
(48) IÎQXMX\ i[Z[BMXl MX\\ICFkGV?i{Me\j Ë H Ë M|n[]zCGk[MXkFVDTdMY`W`dMX\ XX 5 k«][BDMXk[iH`dCFBD\jQeCGJ(J(MEMXl k2MXl BIHVIMXZ[B7i[M ³ ¶ %(' % · 7
(49) HN ¶ % %(' · 7
(50) HN o[o ûqpsr l't e.
(51) . & M& . ¶ % % · 7 Â \<T
(52) 7 Ñi^HKk[\7`dMX\!HKZUVIBDMX\!QHK\ xÎHQXCFkGVIBIHTkGVIMi{M`WTdJTWV|HVDTdCFkti[MX\?½ DB MX\I\ICGZ[BDQXMX\H(b Q|RhH_ÇZ[MkUTa FMHKZ°\X¡=MXl QXB=TWV 8 N )) ´
(53) *) ) 8 N , . . M( MM . ¶N·. Xe 8 N , *) . ]zCFZ[BVICGZUV ¿ ¸¦ÀàÀ ª?]zCGZ[B)i[MX\ BIHTd\ICFk{\!VIMXQSR[kUTdÇmZ{Me\yCFk#][BDMXk[i[BIH«]U`dZUV CK1 V ¾¿ ¸¦ÀàDÄjŧ<Ä!" QYÉ Ë © xp¡=M®l ;MXl k[MXJ(MXkFV 6 ¶ ¹· VIBIH_i[ZmT\|HKkGV?`dMÉcHTWV?ÇZ[MyQeMX\jQeCGkGVIBIHTdkGVIMX\!\ICGkGV?\|HVDT\<ÉcHTaVIMX\?\e¡=MXl QeB=TaV ) N ³ 8 6 ¹· 7¯ 7 ) EG:< ¼ ) ³ ¾ ¿ < ? Ä c Å F Æ c Å 7 · ¸ ¹ ¸ £ À  ¹ £ À  ¶ 9 µ ¶ µ ³a´ ' µ9¶ %(' · 7 ¶  XXXX · µ9¶ % |· 7 ¶ N  eXXX Âm· µ9¶ %$# · 7 ¶ N N  XXX® · eXX µ9¶ %() · 7 ¶ N XXX N · C_VICGk[\jÇmZ{M`§¡£CGk°Hi2M=l qIH ¶ ³ 7%(' 6 ¶ ¹·D· H ¶ ³ 7%(' · ¶i[ ÊM MXl B=BDTWMX¥^]zQCFH\VDTQeCGCGkk[ÉciUHKTaQYVDTdTWCF`dM k[·Ik{Ë M®Ð `a`dCGMeJ(J(J(MXkGMVLTaHK`pZm\InMi[QXCGCKkFTWV)VIBI`ÜHH TdkF][VIBDMXCG\g^MeHK\<gUVTa`W]UTaV{`dM¤Z[l \¤]zCGEGZ[BIHKB)k[Çmi[Z3M ¡¨Z[Çk Z[M H_gzQXCFMY`Wk{`dk M Ml QXCF\ICKBDBDTaVyMX\Iih]zH_CGk[k[\)i^HK`c¡=kFM®l VV|HH bV i[MX\?BDMX\I\©CFZ[BDQXMX\7TdkU¥^kmTMX\ Ë. U '& Î P k[MJ(CUi2MYl `aT\SHVDTdCFk#\DV|HKk[i^HKBDi#i[M` H \<TWVIZ^HVDTdCFkMX\DV` HL\IZUTa _H_kGVIM Ë 5 kQXCGk[\DTaª i3MXb BDM . CGBDEmHKk[MX\)i[M\IMXB= TdQeMX\ XaWa ) ¶ ÇZUTÊBDMX][BMXl \IMXkGVIMXkGV`MX\)BDMX\I\ICGZ[BDQXMe\)i[MX\)ikUTa FMHKZmn ·IË x9M TaªIMXb J(M CFBDEH_k{M H°Z{k[M QH_]hH_QYTaV{M l i[M 6 ³ \©MeB= GMXZ[BD\ Ë P b `c¡¨MXkGVIBmMXl M¬i[M TW`2oH°i{Me\ . V§o{]zM¬i{M&%^Zmn i¢¡ÍH_BDB=Ta ÊMXl Me\;]zC_Td\I\ICGkUTdMXk[k[MX\pi3¡ÃTdkGVIMek{\DTWVUMXl \ ( XWaa ( ) Ë x9CGBD\IÇZ¢¡¨Z{kLQY`aTMXkGV2i[M7V§oU]M)Ñ(H_BDB=Ta FMHb f_\IC_TaV Ta`ÎVIBDCFZm FMi{Me\\IMXB= FMXZ[BD\j`aTg[BDMX\)\DTdJZU`aV|HKk MXl JLMXkGV)i^H_k{\ XXX MYV H`CGBD\?Ta`ÎCUQXQXZ[]MyZ[k°\©MeB= GMXZ[B i[MQSR^HKÇmZ{MkUTa FMH_Z 3 3 Ѭ]zMXk[i^HKkFVZ[k[Mi{Z[BmMXl M Ë H Ë M|n{]CGk[MXkGVD½ TMY`a`Mi{M]^HKBIH_J«MYb VIBDM ][ZUTd\?`dMX\ `aTg3MXb BDMMXk[\©ZUTWVIM_fz\©C_TaV7Ta`9VIBDCFZU GMÇZ¢¡£Z[k#CFBDEHKk[Mi[M\IMXB= TdQeM ³ 3 ѬMX\DV\|HVIZ{BmMl MYV i^HKk[\j½ \IMQH_\ TW` MX\DV¬M=l qDMXQYV{Ml i[Zt\DoU\DVeMXb JLM Ë xp¡=MYl V|HV i[Z \DoU\DVeMXb JLM#]zMXZUV°H`CGBD\ MY1 VIBDMBDMX][BMXl \IMXkGVUMl ]^HKB Z[k ¶(' XXe ' ) ·¸ s£ ) C9Z b ' ³ Me\<V `M k[CGJg[BDMi{M QY`aTMXkGV?i^HKk[\ ³ H b `§¡ÈTk{\DV|H_kGV ¿ Ë Ð ¡£MX\DV7Z[k ][BDCUQXMX\I\IZ{\2i[M\|HKZUVI\2i[CGkFV `M)EMel k2Mel BIHVIMXZ[B2MX\DV i[CGk[k2Ml ]^HK B X¶DaW¶ a eaeaaWa W ½ X) a· W a ) · :Þ ¶ N X*a) Wa N XWa:W N ½ ) N e aa½ + · 7eaa ·D· 7 " ( ½  " 3 6 6 XXWaaWW a  ½ 6 ½ 6 I ¶D¶ ¶ 7 ½ \DT 7 ½+ i^HKk[\7`dMX\ ½ HK½ ZUVIBD3 MX\?QHK\ ½ ½ ½ , Ë ¶ , ·  ¶ · U ÿ o U32.
(54)
(55) !#"%$&"'(
(56) )
(57) ". . 9x M][BDCGgU`cMXb JLMy\IMXBIHTaV!H`CGBD\?i[MyQ|R[MXBDQ|R{MeB ` H(J(MX\IZ[BDM)TdkG _H_B=TÜHKkFVIMi[MQXM][BDCUQXMX\I\IZ[\ Ë s§`ÊÉcHKZUVk{C_VIMXBÇZ[M QXM J(CUi3MYb `M(MX\DVMXl ÇZUTa _H`dMXkGV°Htb QXM®`dZUT2ÇZ¢¡£CFkH°HKi[CG]UV{M l \IZ[B`dM(]CKTdkFV\IZUTa _H_kGV `dMe\ ][BDCUQXMX\I\IZ[\ ³ BDMX][BMXl \IMXkGV|H_kGV(`MX\(QY`WTdMXkGVI\ Mek{EFMXk[i[BDMXkGV . %^Zn i¢¡ÍHKBDB=TW ;MXl MX\ ]CKT\©\ICFkmTMXk[k[MX\ HX GMeQi[MX\)i[Z[BMXl MX\i[M\IMXB= mTdQXMX\ M|n{]zCFk[MXkGVDTdM®`a`dMe\ Ë 0k M ¢MYV\DT Ä ³ Ñ ¸ sÃ4i2MXl \DTdEGk[MXkFV)`dMX\!Tdk[\DV|HKkGVI\ i[M«\|H_ZmVI\¬Htb `c¡=MYl V|HV %ti[M ³ f0CGk,CGgUVDTdMekGV(]CGZ[BQ|R^HKÇZ[M 3 MY½ V
(58) Z[k ][BDCUQXMe\©\IZ[\i{M¬AÎCKT\©\ICFki[M ]^HKBIH_J«MYb VIBDM : ¶ % % · ¶ ][ZUTd\IÇZ[M_fj]CGZ[B Z[kÞ][BDCUQXMX\I\IZ[\ i[M\SH_ZUVI\Xf;`dMX\ i[Z[BMXl MX\ i[M\UM=l qDCGZ[B i^HKk[\ `dMe\ M®l V|HVI\2 Td\DTWVUMXl \j\ICFkGV7i[MX\ Ë H Ë M|n{] Ë Tk{i MXl ]MXk[i^HKkGVIMX\ef{QeCGk[iUTaVDTdCFk[k{M®`a`dMeJ(MXkGVHyb ` H]CG\DTaVDTCGk i[MQXMX\ MYl V|HVI\ ·IË x&H?\IZ{]MXBD]zCF\DTaVDTdCFki{M2QeMX\&Tk[\<V|H_kGVI\Î]zCFZ{B9`MX\0 ][BDCUQXMe\©\IZ[\9i[CGk[k[M;`dM %^Zmni3¡öHKBDB=TW ;MXl M2EK`CGg^H` i[M)V§oU]M
(59) i¢¡ÈTkGVIMXk[\DTaVUM l ( 7 :) ¶ % % · ¶ `dMX\7 ³ \ICFkGV7Tdk[i2MXl ]zMXk[i^HKkFVI\ ·IË AHKB?HTa`a`MXZ[BD\7CGk¬]zMXZUV QXCFk{\DTi2Mel BDMXBÇZ[M`dM %hZmn'i[MX\i[MXJÒHKk[i[MX\ÇZUT;k[M(\IMXBDCGkFV]hH_\BDM=qDMYV{MXl Me\QXCGBDBDMX\I]CGk[i HÒb `§¡ÌMYl FCK`ZmVDTCGk i[MX\2 ³ QXCFk[imTWVDTdCFk{k[MY`W`dMXJLMXkGVH b ` Hy`WTdJTWV|HVDTdCFk i{M!`ÜHQHK]^HKQYTWVUMl i[Z¬\<o{\<VeMeb J(M Ë Ð ¡£Me\<V7][BmMXl Q®Td\IMXJ(MXkFVH b QXMYVDVIM'MYl FCK`ZUVDTdCGk°ÇZ[M`c¡£CFk«\e¡ÃTdkGV{MXl BDMe\©\IMXBIH Ë vMXJ(][\;¥{n{M Ð ¡¨MX\DV2`dM!OJ MX1 J(M)][BDCFgm`cMXb J(M)ÇmZ{M!][BMXl QzMXl i[MXJ(MekGV?\SH_ZUÉ9ÇZ[Mj`MX\2 ³ \ICGkFV2\DTdJ(]U`dMeJ(MXkGV i[MX\7 Ë H Ë Hb _H`MXZ[BD\i^HKk[\?Z{k°MXk[\IMXJgU`M ¥^kUnT I{` HQXCFk{iUTWVDTdCGk 6 ¶ ¹y· MX\DV?i^HKk[\QXMQHK\ 8 N ) ) ´
(60) 8 N , * ) ) ¶ · Xe 8 N , * ) Ð My][BDCFgm`cMXb J(M\IMXBIHVIBIHTaV{Ml HKZ S Ë
(61)
(62) $
(63) $»*"
(64) .
(65) #
(66)
(67) $# x9M«QHKi[BDM«Me\<VLQXMY`ZmT!i[Z Ë N Ë N #E 7¯&%(' XaWa %() ÆG ¶ E · 7Û`§¡£MXk[\IMXJgm`Mti[MX\(JLMX\IZ{BDMe\(i[M«][BDCKª g^HKgUTa`WTaV{M(l \IZ[B!E Ë AÎCGZ[BZ[k[M(J(MX\IZ[BDM ¸ ¶ E · \IC_TaV|\ H imTW GMeBDEGMXk[QXM ¶ CFZ\ICGk#TdkUÉÝCFBDJ HVDTCGki[M ßZU`a`dg^H_QSà · ]^HKB7BIHK][]CGB=V¤H+b ) ¶ · 7 8 ³ !#" $ ³ ³ ³a´ ' .
(68). . MYV!\ICKTaV7`My\ICFZ{\DªÌMXk[\IMXJgU`M)i[M ¶ E · . o[o ûqpsr l't e. C. 7. ¯ ¯ ¶ ' XaWa ) · ¸. ¸s£w ) ¶ ² E ++ . )' · ³ 7Áµ . N '¸ ² ¹ )' Æ ³ % ³ µ9¶ · ¸ ¹ Æ. ¶ ·.
(69) NÂ. & M& . . M( MM . Îx HÉÝCGk[QYVDTCGk ¶ · MX\DVÊ\<VIB=TQYVIMXJ(MekGV2QXCFkG GMYn{M\IZ[B Ë u_T ¹ MX\DVÊZ{kLQXCGkG FM|n{M?ÉÝMXBDJ,M l ¶ QXMjÇmZmTMX\DV0`M QH_\;HKZÒ Ë N Ë N7MYV QXMj\IMXBIH)VICFZqDCFZ[BD\`dM!QHK\pi^HKk[\0`ÜH\IZUTaVIM · «`c¡¨MX\DV2H_Z{\I\DT ¶ Q_¡£Me\<VÊJOMX1 J(M!Z[k(QXCGJL]hH_QYV · MYV ¶ · o°HKi[J(M®VZ[ktJ¤TdkUTdJZ[JÛZ[kUTdÇmZ{MÇZ[M`c¡¨CGk¬k{C_VIMXBIH Ë $ HKk[\jQeMX\jQeCGk[iUTaVDTdCFk[\ . Õ Õ × Õ ( M " Fn
(70) ") &" #
(71) "! M NM Y M 6 ¶ ¹· "Y ¸ ¶ E · %&
(72)
(73) #
(74) M&%M( &
(75) %" "
(76)
(77)
(78) %"! # A0BDMXZU FM s§`\X¡öHKE_TaV;i¢¡¨Z{k[M!HK][]U`aTQHVDTCGkTJ(JMXl iUTÜHVIMi[Z ö]{B=Tk[QYTd]Mi[MQXCFk[imTWVDTdCFk{k[MXJLMXkGV;i[MyÏ?Tg[g{\e¡ Ë QYÉ Ë $ MXJË gzC_ªzM®TaVICGZ[kUT À ? Å vjR Ë Ë Ë CFZ Ð \DTd\B49HKl B À Å U '& Î ( 5 ktH(]^H_BÊ` H`dC_TÎi[MX\jEFBIHKk[i[\jk[CFJg[BDMX\ N 8 :< 7 8 ) % ! ³W´ µ9¶ ³ · µ ´ ' µ&¶ · "_ ` Ht][BDCGg^HKgUTa`WTaV{M l s£A ¶ 6 ¶ ¹·D· VIMXk[i FMXBD\«N CFZ  \IMY`CGk ÇZ[ M µ H_][]hH_B=VDTdMXkFV(CGZ k[CGk¦H b ¹Ë $ CGHKk[k[Q( b X ` . H\|\<HKTWVIk[Z^\HVDZUTdVDCFTWk `aTd\IC9MXBZb `d`dM MX\L][B=BDTdMXk[\IQY\©TCF]zZ[M BDQXi[MXM \ $ÏTdg[g[\\ `dM Ð ][M¬BDMXQJHK\¤TMXk3B¡¨MXQ\DHKV \]^CGHKk \H°VIBYimMXb T\BDMXTdQYkFVIVUMXMXl JLBDMXMX\IkG\|HKV kG V I0Ta7 `?QX CF BDBD MX
(79) \I]z7 CGk[ i¦XeH° iUTd\I]zCFkUË TdgU`dMX\?\ICGkGV!HÖH_Zmn«BDMX\I\©CFZ[BDQXMX\?BDMXÇZUTd\IMX\!]hH_B2`dMX\?ZUVDTa`aT\|HVIMXZ[BD\MektJ(CoFMXk[k{M Ë s=kFVIBDCUi{ZUT\©CFk[\tJ HTdkGVIMXk^H_kGV#ÇZ[MY`ÇZ[MX\tk[C_V|HVDTdCFk[\ Ë 5 k¦][BDMXk[i 7 E . / f ³ :< E `dMX\ HK][]U`aTQHVDTCGk[\)QXCUCFBDi[CGk[k2MXl MX\ef O7 ¶ XWaa · I3CGk\IMi[CGk[k[M+ ¸ ¶ E · MYVCFk]zCF\©Ms£A 7 ! . / ¸ ¶ · AÎCGZ[B VICFZUV)ÑOHÖNCFk«QeCGk[\DTdi3MXb BDM # " %½ $ ¸ ¶ E ½ · VIMY`W`dMÇZ[M " %½ $ ¶ · 7sÃA ¶ 6 '¶ & ¹·D· ) (*) x9MX\MYl `®MXl JLMXkGVI\i[M ¶ E . / ½ · \IMXBDCFkGVTdi[MXkGVDTW¥7Mel \(HKZmnÖMYl `®MXl J(MXkFVI\i[M ¶ E ½ ½ ·¤Ë $ ¡ÍHK][B®MXb \` H ][BDCG]CG\DTaVDTCGk¬]{BmMel QzMXl i[MXkGVIM_fhCFktiUTd\I]CG\IM)i[M+" $ 7 `aTJ -,/. + " $ Ë P`CGBD\. Õ Õ × Õ ( 102 43 F Ñ 65 7 XaWa ½ "Y #
(80)
(81) M&"%$& ( 98
(82)
(83)
(84)
(85) M& n
(86) " -: + " %½ $ ¶ · ;
(87)
(88) @L' M( & =< nL> S @?
(89) " #" $ ½ w E & H Â sL'
(90) º s£Fw E nB
(91) A 2 B3 F n n M M DC E : < s£F K J HGI C ·D· ¸ M ¶ ¶ "L $ ¶ N 8 C ¶ ³ ·Ê¸ · : <  & ³W´ "-
(92) & n
(93)
(94) %" # M7] ) " "% TdkUÉ ,>NBO P ¶ · J Â 7 O P nM A M NM " L' Q NM
(95) M ""'
(96) M r ïBU ò=üòDõ=ô ÎòDó éõn\Gó®û@Z9ùÌóYþù Ýü \ôöõ?õDûYù 9R ô ZeüÝù YûòDõScMT UVT:W gYX cþ@\:Z[]\F^ T(c`_ gba T:Wc`_ g ^ d X ec ² f gih \ ^ T(cij%k gba T:WcKj%k g ^. U ÿ o U32.
(97)
(98) !#"%$&"'(
(99) )
(100) ". NGN. 0A BDMXZU FM Ë ¡ÍH_][BYMXb \tZ[k VIR2MXl CFBYMXb J(Mi[M Ð \DT\h4&HKl B v?R \ICGkFV H_\DoUJ(]UVICKVDTÇZ[MXJ(MXkGV'ÇZ^HK\DTaª Td$ k[i2MXl ]MXk[ihH_kGVIMX\?\ICGZ[\ ` HQXCFk[imTWVDTdCFk 6 ¶'À & Å ¹· Ë ¶ QYÉ Ë ` HXWBmaaMYlWÉ Mel BDMXk[QXM]zCGZ[B7]U`dZ[\?i{M][BMXl QYT\DTdCGk[\ ·IË Ð MY`ÜH MXkGVIBIH 1Tdk[M ¶ À Å ] *Ë · N±i¢¡£Z[k[M]^HKB=V!MYVi¢¡öHKZUVIBDM]hH_B=VÇmZ{M\e¡ÈTW`9M|nmT\DVIMyZ[k J  J  ¾ ¸ " $ * ¶ · % ! ¶ : & · & 7ÁN eaa H`CGBD\ `W TdJ. "L $ ¶ · 7  5 B2\DT º¼ E MX\DV2Z[k ÉÝMXBDJMl VIMY`¢ÇZ[M G I K J C ·D· ¸ Ë AÎCGZ[B 7¯ ² ³W´ C ³ ¸ Æ fCGk ¶ ¶ ¶ H " $ ¶ · % ! ¶ : & · & 7ÁN XaW ]zCFZ[B 7 TkUÉ ,>N O P ¶ · ¶ QYÉ Ë `M)VIR2MXl CGB®MXb JLMyi[M Ð BIHKJ,MXl B=ª Ð R{MeBDk{C ·IË m±\e¡£MXk¬i2MXl i[ZUTaV Ë . Õ Õ × Õ ( M " F s£A ¶ · 7 s£A ¶ 6 ¶'& ¹·D· %&
(101) N n
(102)
(103)
(104) " #" $ . / A0BDMXZU FM Ë 5 k\SHTaVÎÇZ[M;`MX\9][BDCGg^HKgUTa`WTaV{MXl \J H_BDEKTdk^H`dMX\9i[M0s£A QXCGkG FMXBDEFMXkGVMYl VIBDCKTWVIMXJ(MXkFV& FMXBD\QXMY`W`dMX\Îi[ M #" $ . / ¶QXi¢CFkG¡ÍH_ G]{MeB®BDMeb EG\MXk[`dM QXMN MXkti[M _H_`ÜB=H TÜH][VDBDTdCGCGk]zCF\DTaVDTd¡ÍCFH_ktZUVI][BDBMMXl Q]^MeHKl i{B=VeMefzkGVIMXM_k°fzJ`ÜH Z[QXkUCGTdkF\I\| GHKMXkFBD!VEFMXE k[. QX/ Mi{MXMkt`ÜTdH(kUÉÝJLCFBDMYJ VIB=HTdÇVDTZ[CGMk#Tdk[MXkFi[VIZUBITaH VI1TdMk^]^H_kGH_VB `` HH J(MYVIB=TÇZ[MjZ[\IZ[MY`a`M7i{M2s£w . / ¶ ·IH_ Ë ][$ BYMXb \;HX FCKTdBÎTdi[MXkFVDTa¥^MXB EHb ¯  N XWaW . Æ º sÃw ]^H_BM|n[MXJ(]U`dM · fGQ_¡¨MX\DV0Z[k QXCFJ(]^HKQYV7QYÉ Ë ;Ta`a`WTdk[EG\D`MYo À Å ] Ë [N Ë sÌ`9MXk BMXl \IZU`aVIMÇZ[M` H\IZUTaVIM ¶ · MX\DV2VIMXk[i[Z[&M I{CGk QXCFk[QY`dZUV MXkHK][]U`aTdÇmZhH_kGV?`dMVIR2MXl CGB®MXb JLMi{MA0BDCFR[CGBDC ¶ QYÉ ËÀ Å · . . .
(105) ! $# # # $ ! $# #. k \©M¤]U`ÜHKQeM(i^HKk[\)`dM(QHKi[BDMi[Z ]hH_BIHKEFBIHK][R[M Ë ¬H`aTk2Ml H VIMXJ(][\¥{n{M Ë A&CFZ[BQH`QXZU`dMXB)` HÒ][BDCKª g^HKgUTa`WTaV{M¤l QXCGk[iUTaVDTCGk[k[MY`a`M`aTJTaVIMGfCFkMX\DV)i[CGk[Q(H_J(MXk2M¬l HÒb BmMXl \ICFZ{i[BDM`dM]{BDCFgU`éMXb J(M¤i¢¡£CG]UVDTJTd\|HVDTCGk \IZUTa _HKkFV ) 8 Tkm É ¶ · 7 ' !#" $ ? · ¶ $ ¶ ·j¸ C9Z b ) ) 8 $ ¶ ' XWaW ) · 7 ¶ 8 eXX ) · ´' ´ 7Á¯FN Æ ¯ ¶ XWaW ) · ¸'¼ ) ³ ) ³ 3 7ÖN XWa . Æ + 5. o[o ûqpsr l't e.
(106) N. & M& . . M( MM . k ]zMXZUVBmMl Mel QXB=TdBDM QXM,][BDCGgU`cMXb JLM \ICGZ[\t`ÜHÉÝCGBDJ(M,\DV|HKk[i^HKBDii¢¡£Z[k4]{BDCFgU`éMXb J(M,i¢¡£CG]UVDTJTd\|HVDTCGk QXCFkG GMYn{MMYV CGk#iUT\©]CG\IMi[M ( 7 ¶ ( ' XWaW ( ) · ( ³ H  " 3 3 H4N ¶ JZU`aVDT]U`aTdQHVIMXZ[BD\i[M(xÎHKEFBIHKk[EGM · VIMY`\ÇZ[M ' 7 ' % ³ 7 ³ % ² P FMXQ ³ ³( 7  " 3 % & ©8 ´ 7  3 7ÁN XaWa . 0k¬TdkGVIBDCUi[ZUTd\|HKkFV Hb ` H(]m` HKQXMi[M ( ' G7% ¶ ÉÝCFk[QYVDTdCFk«i[M]^HKB=VDTaVDTCGk · fU`ÜH(\ICK`ZmVDTCGk ;MXl B=TW¥hM ' 7 ' ³ ³ 7 % ² 7 CFZ«gUTMXk 8 ) 7 ) 7ÁN . ¶ · ³ 3 XaWa ( ³  I´m) ³ 7 ' ) 8 ³ % ² ³W´ 5. =s kGVIZUTaVDTW GMeJ(MXkGV?`dMX\2][BDCFghH_gUTa`aTWVUMXl \ ³ ]zMXZU FMXkGVMY1 VIBDMTkGVIMXBD][BMYl V{MXl Me\ QeCGJ(J(M MYl V|H_kGV2`dMX\2][BDCF]zCGB=VDTCGk[\ i[MX\2EGMek{\ÊÇZUT3\IMXBIHTMXkGV2MekÒQeCGJ(JZ[kmTQHVDTCGk#Hb Z[k kmTW GMHKZ 3 \<T^`dMe\;BDMX\I\ICGZ[BDQXMX\¤M®l V|HTdMekGV2TdkU¥^kUTdMX\ IG`dMX\ ][BDCGg^HKgUTW`aTaV{Mel \ ³ ÇZ^HKkGVHb MY`W`dMX\p]zMXZU FMXkGVDMY1 VIBDM7 UZ[MX\2QXCFJ(J(M7`dMX\Ê]{BDCF]zCFB=VDTdCGk[\pi{M!EGMXk[\pÇZUTz\ICGkFV;MXk QXCFJ(JZ[kUTdQHVDTdCFk HÒb Z[kkUTa FMH_Z 3 QXCFJ(]UVIMVIMXkmZ'i[MX\ QXCGkGVIBIHTdkGVIMe\yi[M`aTdJ¤TaV|HVDTCGki[MX\BDMX\I\ICGZ[BDQXMe\ Ë 5 kt]MXZUV)H`dCGBD\2 FCKTBj`dMBIH_][]zCGB=V ³ '± ³ NQXCGJ(JLM#MYl V|HKkGV?`ÜH(][BDCF]zCGB=VDTCGk¬i[MyEFMXk[\HXomHKkGV!BDMXZ[\I\DT Hb QXCFJ(JZ{kUTÇZ[MXBH_Z«kUTW GMH_Z 3 MYV9N : ³ ± ³ `ÜH][BDCG]CGB=VDTCGk¬i{MEFMXk[\7k3¡öHXoH_kGV]^H_\ BmMel Z{\I\DT2Hb QeCGJª JZ{kUTÇZ[MXBHb QeMykUTW GMH_Z Ë 0k M 3M®Vef¢\DT0`§¡£CGkQXCFk[\<Ti3MXb BDM`ÜH ÉÝCGk[QYVDTCGk C E : < ¼ % ³ : <
(107) ³ H`dCGBD\ ² ³W´ C ¶ ³ · ÇZUT BDMX][BMXl \IMXkGVIM¤`ÜH«][BDCF]zCGB=VDTCGki[MX\BDMX\I\ICGZ[BDQXMe\i{M¤V§oU]M
(108) ZUVDTW`aTd\{MXl M¤VIMXk[i3f9QXCGk[iUTaVDTCGk[k[MY`a`MXJ(MXkFV HLb ` H QXCFkGVIBIHTkGVIM i{M(`WTdJTWV|HVDTCGki[MX\BDMX\I\ICGZ[BDQXMX\ FMXBD\ H_Z \IMXk[\i[M(`ÜHt][BDCG]CG\DVDTdCFk Ë N Ë Ë PTdk[\DT;` H ÇZ^HKkFVDTaVUM l ]zMXZUV MY1 VIBDM)TkGVIMXBD][BMYl VUMXl MQXCFJ(J(M?`ÜH][BDCF]zCGB=VDTCGk i[MX\7BDMX\I\ICGZ[BDQXMX\2i[M?V§oU]M
(109) s 9 >8
(110) ZUVDTa`aT\UMXl M Ë x9MX\BDMX\I\ICGZ[BDQXMe\imT\I]zCGkUTgm`MX\k[M(\ICGkGV]^H_\)TdkGV{MXl EFBIH`MXJ(MXkGVZUVDTa`WTd\UMXl MX\ef9gmTMXkÇZ¢¡£MY`W`dMX\\ICKTMXkGVTkmª ÉMXl B=TMXZ[BDMX\tMXkÇZ^HKkFVDTaVUM,l HKZmnÞBDMX\I) \ICGZ[BDQXMX\¬BDMXÇZUTd\IMX\ Ë 0k¦ M 3M®V«M®`a`dMe\t\IMXBDCGkFV«ZUVDTW`aTd\{MXl Me\ti^HKk[\ `dMXZ[B TdkFVUMXl EGBIH`aTaV{M l \DT µ&¶ · 7Û² ´ µ9¶ % ·) 7 ¶ ) XeX ) ) · QeM ÇZUT2k¢¡£MX\DV¤]hH_\ UBIHT2MekEMel k2Mel BIH` Ë AHKB;QXCFkGVIBDMCFk H µ9¶ · ¸ ¢¹ ¹ 7 Àà) Å QHKB ¶ · MX\DV;\DVIB=TdQ®VIMXJ(MXkGV7QeCGkG FM|n{M)M®V2\ICGk JTkmTJZ[J+HKg[\ICK`Z«ÇZUTÎMX\DV!HVDVIM®TdkGV MXk ÇZUT9 ÊMel B=Ta¥^+M P ¶=µ9¶ · ¸'¹ QXCFJ(J(MCGk `dM\IZ[]{]CG\IM Ë U ÿ o U32.
(111)
(112) !#"%$&"'(
(113) )
(114) ". N.
(115)
(116) $
(117) $
(118) .
(119). . # $# # $! #
(120) # . Ð M]^HKBIH_EGBIHK][R[M]zMXZUVM®1 VIBDMQXCFk{\DTi2Mel BMl QXCFJ(J(M¤Z{k[MTdkGVIBDCUi[Z[QYVDTCGkR[MXZ[B=Td\DVDTdÇmZ{MÒHKZ#QH_\)i[MX\)][BDCKª QXMX\I\IZ[\ji[M\|HKZUVI\Hb VIMXJ(][\!QXCGkGVDTkZ Ë uCKTWV Ä ¸ s£ Ë s=QYT9`MVIMXJ(][\ ¿ i2MXl QXB=TWV`dMe\MXkGVDTMXBD\ Ä Ë uFC_TaV? ®³ 3 ¸ s£ÖZ{k[M\IZUTaVIMi[MyQ|R^H 1Tk{Me\i[M rHKBDà_C Tdk[i2MXl ]zMek{i^H_kGVIMX\?i{MJ MX1 J(M)`dC_T ¶ J MX1 JLMyJÒHVIB=TdQeMi{M)VIBIH_k[\<TWVDTdCF k ÖMYV?]{BDCFg^HKgUTa`WTYM)l TdkUTWVDTÜH`M
(121) · MYV i{CFkGV2`c¡¨MX\I]^HKQXM?i[MX\(MYl V|HVI\2Me\<VÊ`c¡£Mek{\IMXJgU`dM?¥hkUT E 7&¯ %(' XaWa %() ÆG Ë Ð MX\;Q|R^HTdk[MX\2\ICFkGV2i2MYl ¥^kUTdMX\ \IZ[BjZ[ktMe\©]^H_QXM)i[M]{BDCFg^HKgUTa`WTaVUM l ¶ s£A · uCKTWVMXkU¥^ktZ[k[M)ÉÝCGk[QYVDTCG k µ FE : < s£w ½ MYV ¹ Z[ktQeCGkG FM|n{Mi[M)sÃw ½ Ë 5 k«QeCGk[\DTdi3MXb BDM`c¡=MYl ;MXl k[MXJ(MekGV N ³ 6 ¹· 7Á¯ 8 ¶ ³W´ µ9¶ Y· ¸¹ 0¾¿ 7  XaWa<ÄÆ ¶ ÇZUTÎBDMX][BMXl \IMXkGVIM`ÜH¤QXCGkGVIBIHTdkGVIM · MYV!CGk°\e¡ÈTdkFVUMXl BDMX\I\IM Hb `ÜH`WTdJTWVIMi[M ¶ · 7 s£A ¶ ¸ 6 ¶ ¹·D· `dCFBD\IÇZ[M»VIMek{i¬ GMeBD\j`c¡ÃTdkU¥^kUT Ë $¥^kUHKT k[\?AÎQXCGM\ICGQk[H_\?\jMXCFk«k«M ] 3MXMYZUV Vj VICFZqDCFZ[BD\)HK][]U`aTÇZ[MXB7`dM][B=Tdk[QYTd]Mi{M¤ÏTdg[g[\?]zCGZ[B7`dMX\?J(MX\IZ[BDMX\¤Hb \IZ{][]CGB=V Ë ³ 7 ¶ ' ³ XaWa ³ · `dMe\ ³ \ICGkFVH`dCFBD\ T Ë T Ë iHb _H`dMXZ[BD\!ihH_k[\ E + HX GMeQ s£A ¶ ³ 7 ¶ ' XWaa ·D· 7
(122) ¶ ' · ¶ ' |· aWa ¶ · MYV?`c¡¨CGk¬]zMXZUV¬MXl QXB=TdBDM N ³ s£w " 6 ¹y· 7¯ 8 ¶ ³W´ ¶ ·7¸¹ + ÆG ¹ + º ½ + $ HX GMeQ FE ½ :< s£w ½ " + $ ¶ ' XaWa · 7 ¶=µ9¶ ' · XWaW µ9¶ ·D· ³ ¸ ' C_VIBDMg[ZUV2MX\DV2 i¢¡£CFgmVIMekmTB;Z[k[M)M|n{][BDMX\I \DTdCFk(M|n{]U`aTQYTaVIM i{M?`ÜH)`aTJTaVIM i{M ¶ · ÇZ¢¡¨CGk k[CKVIMXBIH # ¶ ·IË xÎH`dC_TQeCGJ(JZ[k{Mi[MX\j ³ \IMXBIH k[CKV{MXl M ¸ ¶ E + ·IË xÎH`dC_T9`aTJTaVIM¤QXCGk[iUTaVDTCGk[k[MY`a`MyQ|R[MXBDQ|R2Mel M_f \ICKTWV ¸ ¶ E + · fhMe\<V!i[CGk[k2MXl M]^HKB 7 H_BDE2JTdk ¶ · , o[o ûqpsr l't e.
(123) NX. & M& . . M( MM . º Ãs w ½ " + $ ÆG ¶ · ¶ · A`Z{\!M|n{]U`aTQYTaVIMeJ(MXkGV CGk°HtH(b BMXl \ICGZ[i[BDM)`dM][BDCGgU`cMeb J(Mi¢¡£CG]UVDTJTd\|HVDTCGk°\©ZUTW _HKkGV TdkUÉ 8 ' !#" $ ¶ ' XWaW · , " ¶ XaWa · ¶ ' XaWa · 8 $ ' · ¶ ' eaaW · ¸'¹ º s£w ½ 9 µ ¶ 8 ' s£w ¶ G· µ9¶ S· ¶ eaaW · ¸'¹ º ½ Xe 8 ' s£w µ9¶ · ¶ eaaW · ¸'¹ º ½ Ð Mt][BDCGgU`cMeb J(M#i¢¡£CF]mVDTJTd\|HVDTdCGk HKi[J(MYV Z[k[Mt\ICK`ZUVDTdCGk Z[kUTdÇmZ{MGfp`ÜHÉÝCGk[QYVDTCGk Hb CG]UVDTJTd\IMXB MYl V|H_kGV \DVIB=TdQYVIMeJ(MXkGVLQXCGkG FM|n{M MYV`dM i[CGJÒHTdk[M MX\DVQXCFkG GMYn{M Ë 5 k iUTd\I]CG\IM H`CGBD\i{M JZU`aVDT]m`WTdQHVIMXZ[BD\(i[M xÎHKEFBIHKk[EGM ( ' XXXX ( ¸ s£w ½ VIMY`\jÇmZ{M ¶ ' XaWa · 7 % ² " $ ¶ ' XWaW · MX\DV Z{k#ÉcH_QYVIMXZ[B?i{Mk[CGBDJ H`aT\SHVDTdCFktÇZUTpQXCGBDBDMX\I]CGk[iH( b `ÜH(QeCGkGVIBIHTdkGVIM ² ' 7 N 0¶ k MXl QeB=Ta _HKkFV ¶ ' XWaW · \ICFZ{\?ÉÝCGBDJ(Mi[M][BDCUi[ZUTaV)i[MX\ ]{BDCFg^HKgUTa`WTaVUMXl \)i[MVIBIHKk[¶ \DTaVDTdXCFak[Wa\X f{TW `0· Me\<V!ÉcH·Iª Ë QYTW`dMi[M GC_TdB)ÇZ[M !)\IMyÉcH_QYVICGB=T\©MMXkZ[k][BDCUi[ZmTWVi[M][BDCGg^H_gmTW`aTWVUMXl \i[MVIBIHKk[\DTaVDTCGk[\ # ¶ I· ÇZUTpi2Mel ]zMXk[i[MXkGVi[CFk{Qi[Z#VIMXJ(][\efi[M\ICGB=VIMÇZ[M\ICGZ[\ f^ Me\<V Z[k{M¤QSR^H 1Tdk[Mi[MLrHKBDà_Ce °k[+ CGk R[CGJ(CFE[MXb k[M Ë. 7Á¯ ¸ ¶ E + · . ¸ ¹ 8 ¶ · 7 · #! " $ ¶ , . U '& Î ( 5 k(k[M]MXZUV2]^HK\;][BDMXk[i[BDM Ä TdkU¥^kUTnI`c¡=M®l ;MXl k[MXJ(MXkFV2]^HKB0`MXÇZ[MY`CGk QXCFk{iUTWVDTdCGkUª k[MXBIHTWV0]CGZ[BDBIHTWV MY1 VIBDM7i{M2][BDCFghH_gUTa`aTWVUM7l kZU`a`dM ËP k[M2QXCGk[iUTaVDTCGk\©Z \|H_kGVIM2]zCFZ{BÇZ[M;`dMe\MYl ÊMXl k[MXJ(MXkGVI\ i[MjVÌoU]zM 6 ¶ ¹· \ICKTMXkGV2k[CGk k MXl E_`aTEGMH_gm`MX\;MX\DV2ÇmZ{M µ9¶ · BDMX\DVIMi^HKk[\ ¹ ]zCFZ[B ¿ 7  XWaÈÄ HX FMXQ Z[k[M]{BDCFg^HKgUTa`WTaVUMl k[CGkkZU`a`dMIjQXMÇZUTMX\DV UBIHTi^H_k{\ `dMQHK\ V§oU]UTÇZ[M C9Z b ¹ 7 ½ ´ À£Â ) Å MYV µ9¶ %(' · 7 Â. . . # $# $# # # # # ! # . . #k \IMi{CFk[k{MQXMYVDVIMÉÝCKT\Z[ktTkGVIMXB= _H`W`dM ÀàDÄjÅ º s£w M®V)Z[k[M\IZUTaVIMi[M][BDCUQXMX\I\IZ[\J H_BDàKC TMXk[\)i[M \|HKZUVI\ ³ <¿ ¸¦Àà<Ä?Åc 3 7 N XWa f9i[CGkGV)`§¡£MX\I]^HKQeMi[MX\MYl V|HVI\E 7 ¯ %(' XWaW %() Æ MX\DV)¥^kUTcf¢i MYl ¥^kUTd\\IZ[B Z[kMX\I]^HKQXMi[M][BDCGg^H_gmTW`aTWVUM l ¶ s£A ·IË 5 k\IZ[][]zCF\©MÇZ[M¤QXMX\)][BDCUQXMX\I\IZ[\)\ICGkGV!Tdk[i2MXl ]zMek{i^H_kGVI\MYV 5. U ÿ o U32.
(124)
(125) !#"%$&"'(
(126) )
(127) ". N?. CGkFVj` H(JOMX1 J(M`dC_T ¶ EMXl k MXl BIHVIMXZ[B MYV?`dC_T9TdkUTaVDT H`M
(128) ·IË Ð CFJ(J(MHKZ°]hH_BIHKEFBIHK][R[M]{BmMel QzMXl i[MXkGVefzCGk¬\IM i[CGk[k[MZ[k«QXCFkG FM|n{M ¹Áº s£w ½ MYV?Z[k[MHK][]U`aTQHVDTCGk µ EG:< sÃw ½ fmM®VjCFk«QeCGk[\DTdi3MXb BDM`§¡ÌMYl ÊMel k{MeJ(MXkGV N ³ 6 ' ¹· 7¯ 8 ¶ ³W´ µ9¶ · ¸ ¹ ¾¿ ¸ À£Â <Ä?ÅcÆ 5 k«\e¡ÃTdkGV{MXl BDMe\©\IMH`CGBD\H b `ÜH`aTdJ¤TaVIMi[M ¶ · 7 sÃA ¶ ¸ 6 ' ¶ ¹·D· `dCFBD\IÇZ[M»VIMek{i¬ GMeBD\j`c¡ÃTdkU¥^kUT Ë $ HKk[\2`ÜH(\IZUTaVIMCFktk[CKVIMXBIH `ÜH`CKT9QeCGJ(JZ[k{Mi[MX\7 ³ \ICGZ[\ s£A Ë U '& Î s=Q®T3MXk[QXCFBDMjCFk k{M!]zMXZUV7]^HK\Ê]{BDMek{i[BDM Ä TdkU¥^kUT Ë 0k BDMY _HKk[Q|R[M)Z[k{M!QXCGk[iUTaVDTCGk \IZ \|HKkGVIM]zCFZ{B ÇZ[M 6 ¶ ¹· \©C_TaV k{CFk#k2MXl EK`WTdEFMHKgU`dMMX\DV ¶=µ9¶ ·)¸ ¹ ¾¿ ¸Àà<Ä?Å · 7 ÂUË 0k ]^HKB=VDTQXZU`aTdMeBj\e¡ÈTW`ÎM|nmT\<VIMZ[kMYl V|HV % ³ VIMY`9ÇZ[M µ9¶ % ³ ·Ê¸ ¹ QXM®VDVIMyQeCGk[iUTaVDTdCFk«Me\<V!BDMH`aTd\{MXl M][ZUTd\IÇZ[M BDMX\DVIM 7 % ³ ]CGZ[BjVICFZUV ¿ ¸ÀàDÄjÅ HX GMXQZ[k[M][BDCGg^HKgUTW`aTaV{M¤l k[CGk#kZU`W`dM Ë 5 k\IM]U`ÜHKQeMXBIH ihH_k[\)QXMQHK\ i^HKk[\7VICGZUVIM`ÜH\IZUTaVIM Ë ]CGZ[B`dMX\Q|RhH 1Tdk[MX\i[M«rH_BDàKC fÎCGk ]zMXZUV¤\X¡öHVDª $VIMX¡Ík[H_i[][BDBYM MXb \yH(b `§QX¡£M|Mn[Ç]{Z[BDMeM\©QX\DTMYCGVDk VIMi{`aTM(J` TaHtVIM][MXBDCGk¬g^VIHKMXgUJ(TW`a][TaV{\M l QX`WCFTdJkGVDTWTdVIkmMÒZ{M \ICKTWV?i{CFk[k2Mel My]^H_B Z[k[MÉÝCGBDJZU`dMi[Z«V§o{]zM. ) ¶ ¸ . · 7 % " $ ¶ ¸ . · wH_][]zMY`CGk[\7i3¡öHKgCGBDi¬Z{k[Mi2MYl ¥^kUTaVDTCGk Ë uCKTaV Z[k[M\©ZUTWVIMi{M][BDCFghH_gUTa`aT®MXl \?\©Z[B7Z[ktMX\I]^HKQeM ¶ 0 ·IË 5 k iUTaVÇZ[M QXCFkG FMXBDEGMMXkTdkUÉÝCGBDJ HVDTdCFk CGZÁHKZ \IMXk[\°i{M Ð \DTd\B49HKl B · FMXBD\#Z[k[M'][BDCFghH_gUTa`aT®M l ¶. ¸ ¶ 0 · \DT ¶ · : < Â{Ë P FMXQ ¶ · 7 !" $ .. . \DT M®V \DTdk[CGk Ð MYVDVIMQeCGkG FMXBDEGMek{QeMyMekGVIBIH 1Tk{M`ÜH QXCFkG FMXBDEGMXk[QXMMXk° _HKB=TÜHVDTdCFkti[M FMXBD\ ¤fhMYV)CFk#H(JMe1 J(M ¶ Q®É Ë À Å · : ¶ · ¾ ¸ ¶ 0 ·. ktH H`dCFBD\Ê`MBMXl \IZm`WV|HV!EMXl k MXl BIH`9\IZUTa _HKkFV\IZ[B `MX\7`dCKT\jQeCGk[iUTaVDTdCFk[k{M®`a`dMe\ `WTdJTWVIMX\ ¶ YQ É ÜË À Å vjR Ë Ëç· Õ U
(129) F M M )
(130) " FNM 6 F
(131) "Y
(132) =<n )
(133) " 8 NM ? # ¶ 0 ·
(134) %" F
(135) " M %n b
(136) M
(137)
(138) [%& b5 <W:` - -`-: ?]= &
(139) XWa F !" Fn - ( -M O M M( F!(M " ( # F M N M 5. o[o ûqpsr l't e.
(140) N. & M& . . . M( MM . M@ ( M
(141) "Y " &" %& b5>8j
(142) : &%" F 6 º = 7 ; b5R&
(143) % F M F R n
(144) %"Y & M % " Y M " F
(145) " N M
(146) "!%& & &
(147) ". . ;
(148)
(149) @L' M( & M] <W%! M@5 F. . ¶ · 7 ¶ ¸ N 8 ¶ ³ ·7¸ 6 · W³ ´
(150) %"! M
(151) " FN N M # M . 7 N % ! ¶ ¶ ·D· . «¶ · 7 H_BDE2J Hn À TkUÉ · : !#" $ % ! ·D·D· Å ¶ ¶ ¶ ,
(152) , ¶. M& M(n
