Set Weak Evolution and Transverse Field , Variational Applications and Shape Differential Equation

Texte intégral

(1)Set Weak Evolution and Transverse Field , Variational Applications and Shape Differential Equation Jean-Paul Zolésio. To cite this version: Jean-Paul Zolésio. Set Weak Evolution and Transverse Field , Variational Applications and Shape Differential Equation. RR-4649, INRIA. 2002. �inria-00071936�. HAL Id: inria-00071936 https://hal.inria.fr/inria-00071936 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. Set Weak Evolution and Transverse Field , Variational Applications and Shape Differential Equation Jean-Paul Zolésio. N° 4649 November 2002. ISSN 0249-6399. ISRN INRIA/RR--4649--FR+ENG. THÈME 4. apport de recherche.

(3)

(4)

(5) !"# !"!%$&')( * +, - /.10-0234, -"5 -6708:9:<;8' 8 >=-? B@ ADCBE#FGHCJI+KMLNOKQPSRUTVNXW Y[Z]\^_?`badcDef^ g]hjilkmeonSp2_knrqskmeoêjtuivkuefnrp w _tuxDtyku\z^_zt{nS^q]ho_|s_zt }~unr_k,U# ivq]qBnr~uk w _,~u_U{Z]_~{Z]_pO!`Sv`8a

(6) 'nlS_^ B_~rrHav`bqJivr_Ut. -!zl]rr& _ {nSp¡tye w _z~ ¢_ziv£ _zg]ho_z~uejivp¤_zrnShogskmeonSp¤nv¥ w nr^¦ivefp¡t,kmZ]~mnrg]SZ¤kuZ]_ {nSpS_z{kuefnrp¤nv¥i ^ _Uirtug]~mir]hf_Htu_kDxip]nrp¡tu^nDnvkuZ r_U{<kmnr~§¡_h w2¨¦© Y[Z]_ª¬«ul®¡¯°l±«¯±°²v«<³Vlª¬³V´l®hf_zi w tkun w _z~ueflilkmeoS_ nr¥4¥µg¡p¡{<kmeonSp¡ivhiStutuns{ejilku_ w kmn kuZ]__zrnShogskmeonSp¶ª¬·J¸u±Hirp w ¢_¦q]~mnrqBnStu__zg]hf_~mefirp8liv~mejilkuefnrpJivh¥µnr~m^ g]hjil¹ kmeonSp2¥µnr~?ty_zr_z~mirh#{hjirtmtyej{irh¶q]~mnr]hf_^¦tMtyg¡{ZºiSt'efp¡{nS^q]~u_Ututuef]ho_ _g]hf_~»¡nl¢¼efp¾½ r²¿ÁÀ!½ÂvÃ²¿ÁÀOêop]ef^¦ivh {g]~mr_zt ©f©o© ¢Z]ej{Z-kmg]~mp2kunB_ Snlr_~mp]_ w Dx2iÄS±´vÅ±ªQ«<³VÆvÇÈSÉËÊ´v³Ì®¡ª¯<ªËlªË±ÍÎ¢Z¡ef{Zºejt'Jir{£D¢ir~ w ivp w ejtHnrskivefp]_ w ¢eÏkmZºkmZ]_g¡ty_bnv¥ÐkuZ]_tynr¹Á{zivhfho_ w ª¬«ul®J°¯±«¯±'Ñ4±ÇoÉbÒÓefpku~mn w g¡{_ w efpÔ½fÕz²¿ ©, _irhftun~m_¹ DejtyeokHkuZ]_¦tuZ¡ivqB_ w eÏÖO_~m_pkuejivhÈ_U×g¡ilkmeonSpºeopkm~un w g¡{_ w eopÔÕzDØlÙ¼y½ l¿ÌÚHirp w _|km_p w eokHkmnkmZ]_ho_zr_zh+tu_k irq]q]~mnSiS{Z ¢Z]nty_tuqJ_z_ w r_U{<kunS~ivq]q¡~unir{Z ¢[irtÈ{nrpkmireop¡_ w eopbkuZ¡_¥µ~u_z_JnSg]p w ir~ux ^bn w _zhoefp],efp2ÕzrÛS ¼y½ v¿ÌÚ © ÜÎÝÞOßmà á lâr {nSpS_z{kuefnrp¶Àrku~ivp¡tur_z~mtu_§¡_h w ÀstyZJivqB_ w eoÖB_z~u_zpSkmefirh¡_U×SgJilkuefnrp#ÀtuZ¡ivqB_'S~mi w eo_zpkzÀrhf_S_h tu_k. ã#äQå²æç<èÂéêËëêQç<å²ì²íïîUð íÂñ²òVíïîUð óoò. Unité de recherche INRIA Sophia Antipolis 2004, route des Lucioles, BP 93, 06902 Sophia Antipolis Cedex (France) Téléphone : +33 4 92 38 77 77 — Télécopie : +33 4 92 38 77 65.

(7) z¦ =¦-? ;8' 'z - - ztug]^_'nSg¡t'{nSp¡tue w z~unSp¡th

(8) Snrhfgskuefnrp-¥Vivef]hf_ w _ w nS^¦ivefp]_?ejibhfi¦{nrpDr_U{<kmeonSp w g]p]_ qJiv~ukuef_^b_Utyg¡~mir]ho_[q¡ir~g]p¦{Z¡ir^bq ¨ qB_g~ Sg]hoef_~ © iHliv~mefivkuefnrp2ªQ«ml®]¯<°l±«¯±È{nrp w g]eÏkÐirgs| w ~meo _zt w _ ¥µnSp¡{<kmeonSp]p]_hfhf_zt?irtmtyns{e z_ztHivgs|Îkmg]J_Ut w rnShog]kuefnrpÙ_k,p]nrg¡tHq]~mnrqBnStunrpJt'q]hfg¡tueo_zg]~mtM¥µnS~u^g]hfivkuefnrp¡t lir~uejilkmeonSp]p]_hfhf_zt_zg]h z~uef_p¡p]_ztqBnrg¡~ w _Ut'q]~mnr]hf\^_Ut'{hjirtmtyej×g]_ztku_hjt×g]_ho_»¡nvkefp¡{nr^q]~m_ztmtyef]hf_,_gs¹ h ~mef_p¶ÀJho_Ut{nSg]~mJ_Utêop]ef^¦ivhf_zt ©o©f© ×Sg¡e!tu_,ku~mnrg]S_pkivhfnr~t_ku~m_,rnrg¡r_~mp Ut[q¡iv~Mg]pªËlª'SÉËÊ´l³Ì®Jª4Äm´ ÅªQ«<³·¡±MÍ8×g]e_ztykHtunrhfgskuefnrp w g]pºq¡~unS]ho\z^_~ ku~mnrS~mi w _,_p2km_^q¡tHnrskm_pDgqJiv~ukuef~ w g&Æ DvÅ"!J¯ ª¬«uv®]¯<°²±«¯±MÒ efpku~mn w g]eok w ivp¡t,½fÕzl¿ ©$# p ~u_zDeftueÏkm_% Sirho_z^_pkh

(9) _z×g¡ivkuefnrp w eÏÖ& ~m_pkmeo_zhohf_ w _ w nSîreop¡_ efpku~mn w g]eoku__zpÕzØv ¼½Â²¿µÚ?_k nSp¤h

(10) km_p w irg¾{i w ~u_ w _zt('yhf_r_zhÐtu_kmt*) w nrpk h+ irq]q]~mns{Z]_q¡iv~ho_Ut,DeÏ¹ km_ztmty_Ut% kivef_pk{nrpkm_pDg]_ w ivpJt,hfi ^n w hfejtuivkuefnrp w _zt,q¡~unS]ho\z^_zt,-¥µ~unSpkuef\~m_ztHhoef]~m_zt?q]~mnrqBnSt __zp ÕUrÛS w irp¡t¼½ ²¿µÚ © -Óá U ß /. & {nrpDr_U{<kmeonSp¶À{Z¡iv^q ku~ivp¡tur_z~mtu_rÀ+r~i w eo_zpSk w _-¥µnr~m^b_SÀ_z×Divkuefnrp w eÏÖ& ~m_pkuef_hfhf_ w _ w nr^¦ivefp]_rÀ/'yhf_r_zh¶ty_k*).

(11) ±b¯±ª±°l´lÇï·sª¬³V´l® Ó'" z á â!v á á Ý v á á !sl]v Ý V µ r á

(12) Ý © Õ 4nSpDr_z{kuefnrp ©,©?©,©,©?©,©?©,©?©,©,©H©,©?©,©?©,©,©?©,©?©,©H©,©?©,©,©?©,©?©,©?©,©,©H©,© © Y[Z¡_ ?ivhf_~m£efp'q]q]~mn²|seo^¦ivkuefnrp ©,©H©,©?©,©?©,©,©?©,©?©,©H©,©?©,©,©?©,©?©,©?©,©,©H©,© w eo_zh w ©,©,©H©,©?©,©?©,©,©?©,©?©,©H©,©?©,©,©?©,©?©,©?©,©,©H©,© © Ã Y[ef^b_ cs^bnDnrkuZÎcDqJ_z_ w eo_zh w©,©,©H©,©?©,©?©,©,©?©,©?©,©H©,©?©,©,©?©,©?©,©?©,©,©H©,© © Ã © Õ !4nSg]p w _ w csqJ_z_ w ef_h w8©H©,©?©,©?©,©,©?©,©?©,©H©,©?©,©,©?©,©?©,©?©,©,©H©,© © Ã © "'pDBnrg]p w _ w cDqB__ # © ` "p]ej×Sg¡eop]_Utut'¢eÏkmZ p¡nrp¡tu^nnrkuZ eop¡eÏkmefirh w ilki ©,©,©?©,©?©,©H©,©?©,©,©?©,©?©,©?©,©,©H©,© á & %!]' Ì Þ Ý .µz $ Ã ©+ Õ *È_U{<kmnr~[§¡_zh w t'eo# p ,.- ©?©,©?©,©?©,©,©H©,©?©,©?©,©,©?©,©?©,©H©,©?©,©,©?©,©?©,©?©,©,©H©,© Ã ©/ !nSg]p w _ w p]_ztmt[nv¥!kuZ]_}_z~uef^_ku_z~ ©,©H©,©?©,©?©,©,©?©,©?©,©H©,©?©,©,©?©,©?©,©?©,©,©H©,© Ã © Ã Y!g]B_,_Snrhfgskuefnrp ©,©,©?©,©?©,©?©,©,©H©,©?©,©?©,©,©?©,©?©,©H©,©?©,©,©?©,©?©,©?©,©,©H©,© Ã © ` !nSg]p w _ w p]_ztmt[nv¥!kuZ]1_ 0M_pJtyeokx-}_~mef^b_ku_z~ ©?©,©,©?©,©?©,©H©,©?©,©,©?©,©?©,©?©,©,©H©,© Ã © ` © Õ 0_zp¡tyeokx}_~mef^b_ku_z~ ©?©,©,©H©,©?©,©?©,©,©?©,©?©,©H©,©?©,©,©?©,©?©,©?©,©,©H©,© Ã © ` © 4ho_Uivp # qJ_zp-kmg]B_ ©,©?©,©,©H©,©?©,©?©,©,©?©,©?©,©H©,©?©,©,©?©,©?©,©?©,©,©H©,© Ã © ` © Ã Y[Z]3 _ 2<q¡ir~mirJnShoej'{ 2MtyeokugJilkuefnrp ©,©?©,©?©,©,©?©,©?©,©H©,©?©,©,©?©,©?©,©?©,©,©H©,© Ý 6+Ý .Vâ 54 l Ý l 7 ` © Õ Y!~mirp¡tyS_~ty_ w _~mef²ivkuefr_ ©?©,©?©,©,©H©,©?©,©?©,©,©?©,©?©,©H©,©?©,©,©?©,©?©,©?©,©,©H©,© ` ©/ 0M_~mef²ivkuefr_?nv¥ 'yrnrhfg]^_ )M¥µg]p¡{<kmeonSp¡ivh ©,©?©,©?©,©,©?©,©?©,©H©,©?©,©,©?©,©?©,©?©,©,©H©,© ` © Ã g]p¡{kuefnrp¡irh¶¢eÏkmZ2_p w ku_z~u^ ©?©,©,©H©,©?©,©?©,©,©?©,©?©,©H©,©?©,©,©?©,©?©,©?©,©,©H©,© 9;: !s á Áá Ý Ý = <1>@? 1Ò ACBEDEFHGJILKNM U PO Ý µ Q. .µ .! á SR s Ý U4 # Ý â Ý ©W Õ VÎ_zivp2{g¡~ulilkmg]~m_Hnr¥!kmZ]_,hjilku_z~mirhBkuef^b_¹Átuq¡iS{_?JnSg]p w ir~ux ©H©,©?©,©,©?©,©?©,©?©,©,©H©,© © ilkm_~ivJh !nrg]p w iv~mX x 0_z~ueflilkmeoS_ ©,©H©,©?©,©?©,©,©?©,©?©,©H©,©?©,©,©?©,©?©,©?©,©,©H©,© Z Ý v á Þ 85Y %# .l[ Ø ©] Õ \g]ho_z~uejivpÎirq]q]~mnSir{Z ©?©,©?©,©?©,©,©H©,©?©,©?©,©,©?©,©?©,©H©,©?©,©,©?©,©?©,©?©,©,©H©,© Ø ©5 ^¦ejt[kmZ]_,~u_Utkm~uej{<kmeonSpkmnkuZ]_{g]~uS_Mnr`¥ _ w _§¡p]_ w nlS_b~ a ©,©?©,©,©?©,©?©,©?©,©,©H©,© Ø © Ã ejt'i¥µg]p¡{kuefnrp2nv¥kuZ]_{g]~m²ivkug]~md_ c ©,©?©,©?©,©,©?©,©?©,©H©,©?©,©,©?©,©?©,©?©,©,©H©,© % 7 Ý g ih Ý Ý µj. 9k: #] á Mml Ý Ý l. f Ý PO e/f #T Û © Õ 4hjirtmtuef{zivh¶cDZ¡irqJ1_ 0MeÏÖO_~m_pkmefirPh \×g¡ilkmeonSp tu_kukuefp] ©,©?©,©H©,©?©,©,©?©,©?©,©?©,©,©H©,© Û © 0M_¥µnr~m^¦ilkmeonSp-nr¥#kuZ¡1_ 0nSîreop ©,©,©H©,©?©,©?©,©,©?©,©?©,©H©,©?©,©,©?©,©?©,©?©,©,©H©,© Û © Ã MtyxD^qskmnvkuejN{ !_Z¡i²Defnrg]~ ©?©,©?©,©,©H©,©?©,©?©,©,©?©,©?©,©H©,©?©,©,©?©,©?©,©?©,©,©H©,©. Ã. . non. ñprqtsuqtv. . Û. Ø. Û ÕU )(. ÕU ÕSÕ Õ² Õz` Õz` Õz` Õ². 8. ÕUÛ ÕUÛ ÕU.

(13) T(

(14) T$. rÃ S .

(15) 8. r ÃS Ã . $$. Ãr` Ã ÃDØ.

(16) ´lÇ<¯<³V´. `. Ý â ih Ý Ý µ. Ý : !s á Áá Ðr%.µ] Ý 9k: #] á $8 irq]hjir{_d\×g¡ivkuefnrp ©?©,©?©,©?©,©,©H©,©?©,©?©,©,©?©,©?©,©H©,©?©,©,©?©,©?©,©?©,©,©H©,© ÃDØ © Õ © Õ }È~uefnr~meJ\tykuefîvku_Ut ©?©,©,©H©,©?©,©?©,©,©?©,©?©,©H©,©?©,©,©?©,©?©,©?©,©,©H©,© ÃSÛ © Õ © cku~mnrp]¦cDZ¡irqJ@_ 4nSpkuefpg¡eÏkx ©H©,©?©,©?©,©,©?©,©?©,©H©,©?©,©,©?©,©?©,©?©,©,©H©,© ÃS © csZ¡ivqB_ H~mi w ef_pk[¥µnr;~ 4nStyk g]pJ{<kuefnrpJivhjt ©,©?©,©,©?©,©?©,©H©,©?©,©,©?©,©?©,©?©,©,©H©,© `JÕ © © Õ cDZ¡ivqB1_ H~mi w ef_pk ©?©,©?©,©,©H©,©?©,©?©,©,©?©,©?©,©H©,©?©,©,©?©,©?©,©?©,©,©H©,© `D © © "'p]eo¥µnr~m^ Bnrg]p w _ w p]_Utut ©,©H©,©?©,©?©,©,©?©,©?©,©H©,©?©,©,©?©,©?©,©?©,©,©H©,© `Ã © © Ã cDZ¡ivqB_ 4nrpkuefpDg]eokxnv¥kuZ]_ H~i w eo_zpSk ©,©,©?©,©?©,©H©,©?©,©,©?©,©?©,©?©,©,©H©,© `Ã © Ã csZ¡ivqB@_ 4nrpku~mnrhBm¹ MtyxD^qskunrkuej{,_ztug]hok¥µnr~ 0{iSty_ ©?©,©H©,©?©,©,©?©,©?©,©?©,©,©H©,© `S` á .Vs á Áá Ý f #r % 7 Ý g h Ý Ý µj. 9k: #s á ( Ý Ý . f Ý

(17) ÕU © Õ¤csnrhfgskuefnrp¡t[¢eokuZ¡nrgsktyku_zq ©?©,©?©,©,©H©,©?©,©?©,©,©?©,©?©,©H©,©?©,©,©?©,©?©,©?©,©,©H©,© `D ÕU © Áku_z~mivkuefr_,cs{Z]_z^b_ ©,©?©,©?©,©?©,©,©H©,©?©,©?©,©,©?©,©?©,©H©,©?©,©,©?©,©?©,©?©,©,©H©,© ` ÕU © © Õ Y#~ivp¡tur_z~mtuk_ Vºivrp¡_kuej{Hhoef£r_ ËpDr_z~mtu_?}È~unS]hf_^ ©H©,©?©,©,©?©,©?©,©?©,©,©H©,© `sØ ÕU © Ã csZ¡ivqB_È¥µg]p¡{kuefnrp¡irhr¢eoku1Z 0Meo~mej{Z]ho_k#Bnrg]p w iv~mxM{nSp w eokuefnrp¡t!iv~m_+p]nvk )ËZ]nSho_¹ w eoÖO_~m_pkuejiv]hf_ )¾` ( á 'á Ý %# á % á Ì á S

(18) C á¶. /f #T%. ©Õ. !¦23Ð Y[Z¡_¢_ziv£¤{nrpDr_U{<kuefnrp¤nr¥^_ziStyg]~iv¡ho_tu_kt-¼y½ rÃl¿ÁÀ½ rl¿µÚZJirtJ_z_p efpku~mn w g¡{_ w efp ~m_hjilkuefnrp¤¢eokuZ kmZ]_ tuZ¡ivqB_ w eoÖB_z~u_zpkuejivh¶_U×SgJilkuefnrpÎirp w ~u_zhfivku_ w kmnrq]ej{t ©Ð __p¡hfir~uS_MkmZ¡ilkHivq]q]~mnSiS{Zkmnliv~mefivkuefnrp¡irh q¡~unS]ho_z^ ~m_hjilku_ w kmn2kuZ]_irp¡ivhfxstyejt?ivp w Y#g¡J_Ut,_Snrhfgskuefnrp ©¦ _¥µns{gJt?nrp8kuZ]_{nr^q¡ir{eÏkxÙ~u_Utyg]hokmt irp w ¢4_,q¡~unSqJnty_MkuZ]~m_X _ 2<¥Vivêfhoef_zt 2MnvQ¥ 2<Dejtu{nStueÏkx 2'{nrp¡tyku~ivefpkmt[nSp-kmZ]_,r_U{<kmnr~[§¡_zh w t ¨ ho_Ui w efp]bkun _|seftyku_zp¡{_~m_ztug]hÏkt?{nrp¡p]_z{ku_ w kmn-kmZ]7 _ 2<q¡ir~mirJnShoej{r_~tueonSop 2,nr¥ÐkuZ¡_{nr^q¡iS{<kmp]_ztmtHnv¥kuZ]_efp¡{hfg¡tueonSp ^¦irq]q]efp] ¥µ~mnr^ JnSg]p w _ w liv~mejilkuefnrp¥µg]p¡{<kmeonSp¡t[efp-efpku_S~mirho_¥µg]p¡{kuefnrp¡t © Y[Z]_?hjirtyknSp]_Heft[¡iSty_ w nSp kmZ]_,g¡tu_?nv¥kuZ]X _ 20_zp¡tyeokx}_~mef^b_ku_z~ 2q]~mnrqB_~ukuef_zt,¼½fÕ`v¿¬À¶½fÕzÃl¿ÌÚ © Y[Z]_8tynr¹Á{zivhfho_ w 2zcDqJ_z_ w V2_kuZ]n w 22ZJi²r_2J_z_p w _zr_zhonSqJ_ w efp~m_hjilkuefnrp&¢eokuZ kuZ¡_ÙtyZJivqB_ÎnrqskmeÏ¹ ê zivkuefnrpSnlr_~mp]_ w x¦}+iv~ukuejivh 0MeÏÖO_~m_pkuejivJh \×g¡ivkuefnrp¡tH¼½ `v¿ÁÀf½ l¿¬Àf½ Ãl¿¬Àf½ÂØ²¿ÌÚ © ËpkmZ]_Htyku~mnrp¡r_z~mtueonSp¦¢4_ ¨ A TF! F #" A$&%NF'$&%dD)( {nrp¡tue w _~m_ w kmZ]_ »Jnl¢ ^¦irq]q]efp]. I A ¨ Dnr¥Ðitu^bnDnrkuZºS_z{<kmnr~§¡_h w8 ,+* A$&%1F,$&%kDEF¼+e © _ ©Ð¨ ejt'ty^nDnvkmZ]hfxrhfnr¡irhohfx w _§¡p]_ w nlS_ ~ $&% ilkivhfhOkuef^_zt BÚ © nr~irpxÔty_. k - kuZ]_8ty_/ k - I A ¨ D > I A ¨ DEA0- D eft¦kuZ]_zp w _§¡p¡_ w ilkirpx kuef^_ © Y[Z¡_ºtyZ¡irqJ_ w eÏÖO_~m_pkuejivh+_U×SgJilkuefnr p ¼V{nrp¡tue w _~m_ w eop&½ ²¿¬Àf½ÂØ²¿¬À ©f©o© ½oÕU ²¿µÚejt,tykug w ef_ w ¥µnr~tuZ¡irqJ_¥µg]p¡{kuefnrp¡irhÈrnlr_z~up¡_ w Dx¾tu_S_~ivh[{hjirtmtyej{irhBnrg¡p w iv~mx¤livhfg]_2q]~mnr]hf_^¦t2¼µ¢eokuZ&g¡tu_ nr¥kmZ]_2_|Dku~ir{kunr~b_ztykuef^¦ilkm_-¥µnS~kuZ]_ tuZ¡irqJ_?r~i w eo_zpSk?½fÕ²Øz¿µÚ<À¡kuZ]_zp efp/½ r²¿¶¥µnr~p¡nrp2hoefp]_Uiv~[Deftm{nSg¡t»¡nl¢ © Y[Z]_-{Z¡iv~ir{ku_~mejtkmef{ ¥µg]p¡{kuefnrp¤nv¥[kmZ]__Snrhfgskuefnrp w nS^¦ivefp¶)À 1tI > 13254768:9mÀ!ejt {nrpDr_z~ykm_ w ir#t 1tI > 1 <; IuA ¨ D,= - tunrhfr_Ut4kuZ]_{nrpDr_U{<kuefnrp-q]~mnr]hf_^ . . >. > B. 1@?BAC1ED ¨ > rF!1ArD > 1 2GF. ¨ ,QIMivp w tynS^_ Y[Z¡ivk4kmZ]ejtÐq]~mnr¡ho_z^ ZJi²r_tunrhfgskuefnrp¢Z]_p¦kmZ]_Hr_z{kunS~§¡_zh w ¨H ,JI'¢eokuZ/KMLON P S~unl¢[kmZirtmtug]^qskuefnrpnSpkmZ]_?qJntyeokuefr_Mq¡iv~ukkA0KRLON ¨ DTS © Y[Z]_Mefp¡{nr^q]~m_ztmtyef]hf_MtueÏkmg¡ilkmeonSp¢[irtivhf~u_Ui w x. UWV n:UYX.

(19) ±b¯±ª±°l´lÇï·sª¬³V´l®. . efpku~mn w g¡{_ w efp ½fÕ²ØU¿¬ÀM½ r²¿ ©& _ SeoS_-tu_S_~ivh[{nrpkmeopDg]eokx¾ivp w {nS^q¡ir{eÏkx¤~m_ztug]hokmt © 'q]q¡hoej{ivkuefnrp¡t ir~u_kmZ]__|seftyku_zp¡{_~m_ztug]hokmt¥µnr~ lir~uejilkmeonSp¡ivhq¡~uefp¡{efq]hf_~m_hjilku_ w kunÙkuZ]_ \Èg]hf_~ efp¡{nr^q]~m_ztmtyef]hf_¦»¡nl¢ _U×g¡ilkmeonSp irp w ^_ku~mef{?nSpkmZ]_?¥Vivêfhoxnr¥+tug]¡tu_kt[nv¥ÈibJnSg]p w _ w w nr^¦ivefp a Ó 3Ð &3È7 !3Ð!+"¶3v--3Ð -" .

(20)

(21). ¡Z _p ¨ eftitu^nnrkuZS_z{kunr~¶§¡_h w ¢_ w z_ p]nvkm_Ðeokmt!»¡nl¢ ¦ ^ ivq]q]efp]Mx IuA ¨ DXivp w ¥µnr~ivpDxM^_Uirtug]~mir]hf_ tu_Ck - ¢_{nSp¡tye w _z~,kuZ]_ 2<qB_~ukug]~m¡ilkm_ w 2but _k -.IuA ¨ D > I A ¨ D AO-;D © Y[Z]_{ZJiv~ir{<km_~meftykuej{¥µg]p¡{kuefnrp¡t S_~meÏ§J_zt 1 254 > 1 2 ; IuA ¨ D = ¼ÕUÚ irp w eokejtM_UirtueohfxÎr_z~ueo§¡_ w kuZJil#k 1ACBuF D > 1 2 4 A D'S_~meÏ§J_ztHeop/¢_ziv£Îtu_p¡tHkmZ]_b¥µnrhfhonl¢efp] Æm´v®¡°l±Æª¬³V´l® _U×g¡ilkmeonSp > 1@? AC1ED ¨ > rF!1ArD > 1 2 ¼QrÚ > B nvkmef{_kmZ¡il@k AC1ED ¨ > KRLONA 1 ¨ D 1 KML0N ¨ îr£r_UtÐtu_p¡tu_HiSt4i w ejtkm~uef]gskmeonSp¢Z]_z. p 1 ,+*XAY rF) aD ¨ , - AY rF) a",! $&%dDEF KRLON P ¨ , - AY rF) a#D © irp w2P Z]_zp ¨ ejt4ibty^nDnvkmZS_z{<kmnr~Ð§¡_h w À]tmi²x ¨ ,.-ATFr F$# -$% * ACa7F,$ % D DÈ¢Z]_~m;_ a eft[iJnSg]p w _ w g¡p]eoS_~ty_H¼Virp w kmZ]_4Bnrg¡p w iv~mx,{nSp w eokuefnrp ? NF G K > nSpkmZ]_4Bnrg¡p w iv~mx > aÎÀlnr~+ivpDx,tygJ{Z°U³VS¸³ÌÇï³Ìª'& Æ´v®BÉl³Ìª¬³V´l® ¥µnSk~ a:eopÙkuZ]_{iSty_bnv¥4p]nrp/ty^nDnvkmZºJnSg]p w ir~ux]Ú'kuZ]_»¡nl¢^¦irq]q]efp]ejtH¢4_zhoh w _§¡p]_ w ¥µnr~ irpDxhfir~uS_kmeo^1_ B rF(#¢eokuZÎtynS^_?tuhfeoSZSk_|km~mi{nrp w eokuefnrpJt[nrp ¨ À¡tu__HkuZ¡_ty_U{<kuefnrp w _zrnvkm_ w kmnty^nDnvkmZ-kmg]B_zt'irp w r_z{kunS~4§J_h w ÀskuZ¡_p¾¼QSÚ[ivp w ¼yÕUÚ[iv~m_H_z×g]ef²irho_zpk © VÎirpDx×g]_ztykuefnrp¡tir~uejtu_ {nrp¡{_~mp]efp]¤¼QrÚ¢Z]_p kmZ]_S_z{<kmnr~,§J_h w eft p]nrp¤tu^bnDnrkuZ © '_kuZ]_z~ykmZ]_hf_ztmt¢_ w nÎkmZ]efp]£ÙkmZ¡ilkbeÏkeft kmZ]_{nS~u~m_z{k'ivq]q]~mnSiS{Z¥µnS~^¦ivpDx-tuZ¡ivqB_,q]~mnr]hf_^ tygJ{Z2iSttyZJivqB__Snrhfgskuefnrp¶À]tuZ¡irqJ_,e w _pkmeÏ§J{zilkmeonSp ¼Vnr~'nSqskuefê UilkmeonSpJÚ<ÀJ¥µ~u_z_Bnrg]p w iv~mxq]~mnr]hf_^¦t,ÀO{nSg]q]hfeop¡¦»¡g]e w tkm~ugJ{<kug¡~u_q¡~unS]ho_z^¦tÀJeo^¦ivS_ivp¡irhÏ¹ xstueft ©f©o©f© q¡~unS]ho_z^_zt'efpÙ¢Z¡ef{ZÙkuZ]_ ªÁ´ !s´vÇo´mÄ)&nv¥kmZ]_btu_&k -.I^¦i²x2J_b_Snrhfgskuefr_ © Y[Z]_bq]~mnr]hf_^%¼¬rÚeft _U×g]eolirho_zpSk[kmnkmZ]_?¥µnrhfhfnl¢eop]nSp]_+* ,.- * A TF(#aDEF - A'r F<D D > rF ¨ D0K3GK[B? / 2 - ATF DOK+ > ¼VÃSÚ nr~Hp]nrpÙtu^nDnvkuZÙr_z{kunS~§¡_zh w t¢_tuZ¡ivhfh w eftykuefp]Sg]eftuZ¾ª

(22) S«u±±®O´l®¡¯Å¦Ú´lª

(23) S®B±¯¯ Ço±°²±ÇÂ¯<Y[Z¡_§¡~tk hf_S_hHilk-¢Z¡ef{Z ¢_8ir~u_8iv]hf_Îkun&tyqB_zir£ nv¥tynShog]kuefnrp¡t¥µnr~/¼QrÚºÀ ¼VÃÚirp w ¥µnr~-kuZ¡_Ù^nr~m_ºr_zp]_~ivh 2_Snrhfgskuefnrpo2Hq¡~unS]ho_z^%¼µ`Ú¼4¢Z]_p8~uefrZkZ¡irp w tue w _ ejtHp]nrp z_~mnivp w efp]eÏkmefirh w ilkmip]nrp8p]_z{_ztmtuir~ux {ZJiv~ir{_z~uejtykuej{¥µg]p¡{kuefnrpJÚ¢eokuZ2p]nSpÎty^nDnvkmZ-efp]eokuejivh w ivkmibejt4* 5!±°l±Ç4´l®O±.* ¨ , - ArFrF , - ACa"!,$&%dD Divp w kuZ¡_¦qJntyeokuefr_q¡ir~yk AKMLON ¨ DOS , - A0rFr F ,+* ACaD D © hftunb¥µnr~[kmZ]_X2 w gJivhX_Snrhfgskuefnrp 2'q]~mnr¡ho_z^t,¼ÁØvÚ¢_,irtmtyg]^_HkuZ¡_,p]_ilkuefr_Hq¡ir~yk AKML0N ¨ D = , - A0rFT F , * A aDHD'D /10 /2. non. ñprqtsuqtv. 1A. > > B. -. ? ?&¨ F'A. -. K. ?. -. KMLON.

(24) . ´lÇ<¯<³V´. Ëp kuZ]nty_Ð{zirtu_ztzÀ²g¡tyefp]d ?ivhf_~m£efp]_Ðirq]q]~mn²|seo^¦ilkmeonSp,ivp w _zp]_~mrxH_ztykuef^¦ilkm_rÀ²¢4_ w _~mefr__|Dejtyku_pJ{_Ðnr¥ ut nrhfgskmeonSp?¥µnr~#BnvkmZq]~mnr]hf_^¦t#¢eÏkmZ efp]eÏkmefirh w ilkmi'refr_p,efpc = - I ACaD © Y!n w i²xM¢_Z¡i²S_p]n'g¡p]ef×g]efp]_Utut ~m_ztug]hokilkkuZ¡ivkho_zr_hD]g]knrp]hfx ivp_ztykuef^¦ilku_,¼¬rÚ!¥µnr~Ètug¡{Z#2<liv~mefivkuefnrp¡irhS¢_zir£tynShog]kuefnrp¡t2lÀvtu__[ty_U{<kmeonSp B_hfhfnl¢ ©' Z]_p ¨ ejtMtu^nDnvkuZ¡_~UÀ¡^¦ivefp]_hfx2¢eÏkmZº~m_ztuqJ_U{<kkmn BÀOg¡tueop¡¦kuZ]_ w nSg]]hf_ tu{zivhf_ ZDxDqJ_z~uBnrhfej{ kmZ]_nS~ux&D x ,ivkun¾¢_ w _~meoS_Î_|seftyku_zp¡{_/ivp w g]p]ej×Sg¡eop]_Ututnv¥ tu^nnrkuZ>tunrhfgskmeonSp kun¾kmZ]_Ù_zrnShogskmeonSp q¡~unS]ho_z^ ¼µ`DÚ¢eÏkmZÎty^nDnvkmZ-efp]eokuejivh w ivkmi - c - A0-;D * ¨ # - % * ATFr FE, ACaD D¼ KMLON ¨ > SÚivp w efp]eokuejivh w ivkmieo 5!±°l±Ç¶ª Ð´ *!¥µnS~ P p c - A aD¢_MS_k[kuZ]_ _|seftyku_zp¡{_,ivp w g]p¡ef×g]efp]_ztmtnr¥itynShog]kuefnrp2eop A' rF( FEc - A aDHD:( - A' rF( FE, ACa#DHD © ¨ # - % * ATFr FE, *XACa#DHDM¼Qivp w KRLON ¨ > Ú4kuZ¡ivk'tynShogskmeonS 5!±°l±Ç#ª

(25) S«u±±.*¥µnS~ P p 8ivhjtynbr_z~ueo§¡_zt. - A TF( F , I ACaD D © k 5!±°²±Ç#

(26) ª Ð´?¢_ w _~meoS_rÀ]Dxku~ivp¡tuqJntyeokuefnrp-ku_U{Z]p]ej{vÀ¡kuZ]_g¡p]ef×g]efp]_Ututnr¥¢_zir£-tunrhfgskuefnrp-kun8¼QrÚ irp w ¼µ`Ú¢Z¡_p kuZ]_,efp]eokuejivh w ivkmibejteo# p ,+* ACaD © ~unS^ kmZ¡ilkg]p]ej×g]eop¡_ztmtq]~mnrqB_~ukx¢_ w _z~uefr_'kuZ]_¥µnrhfhonl¢efp],^nrp]nrkunSp]ef{eÏkxbefp¦kuZ]_M¢4_Uiv£{nSpS_z{¹ kmeonSpºq]~mnr]hf_^%¼¬rÚ *ho_kMk¢nefp]eokuejivh+{nrp w eÏkmeonSp¡tMr_~meo¥µx !1 - 1 I kuZ]_ kuZ]_k¢n-tunrhfgskuefnrp¡t S_~meÏ¥µ/ x 1 - 1 I w ¨ J_zeop]¤Bnrg¡p w _ w À¢4_ w _~meoS_2kuZ]_ºg¡p]ef×g]efp]_Utut¦nr¥i¤{Z¡iv~ir{ku_~mejtyej{ k 5!±°²±Çª

(27) S«u±±À ¨ ivp tunrhfgskmeonS. p 1 > 1 IMkunÎ¼¬rÚ4¢Z]_p-kuZ¡_Hefp]eokuejivh w ivkmibejt4eokmtu_ho¥Èi{Z¡ir~miS{<km_~meftykuej{¥µg]pJ{<kuefnrp © Y[Z]_?e w _Ui ejtkun q¡~unlS_MkmZ¡ilkbGÀ 1B_efp]kmZ]_tunrhfgskmeonSp nr¥¼QSÚ © irtmtunD{efivku_ w ¢eokuZ8{Z¡iv~ir{ku_~mejtkmef{Hefp]eÏkmefirh w ivkmi¡À¡kmZ]_p 1 I ejtÐirhftun itunrhfgskmeonSpº¼ÌkuZ¡_p¦¥µ~mnr^ g]p]ej×g]eop¡_ztmtkmZ]_M{nrp¡{hog¡tuefnrp w _~mefr_ztÚ © nS~ w nSeop¡,kuZ]ejt4¢4_'~m_Sg]hjiv~meftu_ kmZ]_,efp]eÏkmefirh#{nSp w eokuefnrp Dxivp eopJ{~m_zirtuefp]btu_z×g]_zp¡{_?nr¥qBnStueÏkmeoS_?_hf_^_pkmt - ef p c - ACa#D © Ëpnr~ w _~#kun^¦irp¡ivS_Ðliv~mefivkuefnrp¡irhvq]~mnr]hf_^¦t!¢4_4p]__ w kmn_ztm{irqJ_ÐkunkuZ]_q]~m_DeonSg¡t 5!±°²±ÇÂ ¯ l®OÉ vÀ kmZ¡ilkeftÐkunbi²rnSe w tug¡{Z~m_rg¡hfir~ueokx nSp¦kuZ]_Mr_U{<kunS~§¡_zh w-¨ ¼µ¢Z¡eohf_HivkÐkmZ]nStu_'hf_r_zhftÐkuZ¡_'»¡nl¢ ^¦ivq]q¡eop] ejt?tkmeohfh+p]nvk w _§¡p]_ w Ú © Z]_zpºkmZ]_b§¡_h w irp w eokmt w efr_z~uS_p¡{_iv~m_tuef^bq¡ho7 x , - ¥µg]pJ{<kuefnrpJtkmZ]_bp]nvkmeonSp nr¥¢4_Uiv£ tynShogskmeonSp¡tkmnkmZ]_{nrpDr_U{<kuefnrp2q]~mnr¡ho_z^t¼QSÚ<ÀÈ¼VÃÚejt'p]nrk w _§¡p]_ w kuZ]_zpÎkuZ]_ Å¦´zÉS±Çï³Ì®DÄ ªÁÚ´lÇ ¥µnS~'tyZJivqB_,_rnShog]kuefnrp2eftkun¦efpSkm~un w gJ{_HkuZ]_ !J«uÚÉl·¡ÆªÐ¯ !]rÆ±nr¥_zho_z^_pkmNt A1 > 1 I'F ¨ DÐ_U×g]eoq¡qJ_ w ¢eokuZ i 2q¡iv~ivBnrhfef[{ 2N!.*hoef£r_bkmnrqBnrhfnrrx ¥µnS~,¢Z]ef{Z8kuZ¡_ 2{nSp¡tyku~ivefpSk 2¼¬rÚ<À4¼VÃSÚ w _§¡p]_Ut,i2{hfnStu_ w tug]¡tu_k 2 ¢Z]ej{ZÎ{nSpSkivefp¡t4kuZ]X _ 2¢4_Uiv£{hontyg]~m[_ 2¼kuZJilk'ejt[î w _,q]~m_z{eftu_MB_hfhfnl¢Únv¥tu^nDnvkuZ2_zho_z^b_zpkmt 1 2 I = - A ¨ DEF ¨ D P ¨ * A TF( aD! D ; Y[Z¡ivkivq]q¡~unir{ZÔ{nrp¡tuejtkt¦eop Z¡irp w hfeop¡¾{Z¡iv~ir{ku_~mejtkmef{¥µg]p¡{kuefnrp¡

(28) t 1 > 1 IÎ¢Z]ej{Z&B_hfnrp¡Stbkun ¨ , - ATFr FE, - A a#F,$&%NDHDÈr_z~ueo¥µxDeop] ¼QSÚ<ÀX¼VÃÚ © nS~irefr_zp , - A0rFT F" ¨ ACaD DkmnrilkuZ¡_~¢eÏkmZ§¡_zh w t P _zho_z^_pk A 1F ¨ D 2 À¼ ¢4_8tui²x kuZ¡iv/ k 1¤ejtiª¬·J¸m±º¼Vi¾^b_Uirtug]~iv]hf_Îp]nrp {xDhoefp w ~mej{ivhMtyg]Jty_k-efp A0rF D7aÎÀ w _§Jp]_ w g¡qÎkuni _~mn^_ziStyg¡~u_tu_k<Ú¢eokuZºBnvkukunr^ -ÚÀJ¢_ {nSp¡tue w _z~'kmZ]_tu_knr¥È§¡_h w t # tug¡{ZÎkmZ¡ilk A 1F$# D 2 © ÁkHejtHi{hfnStu_ w {nrpDr_| tu_$k #&% ©M _{irp w _§¡p¡_ kmZ]_·s®J³·¡±êop]ef^¦ivh © nr~i2SeoS_pª¬·J¸m#± 1sÀkuZ]_-_hf_^_pk ¨ 12eft kuZ]_ p¡nr~m^ _p¡_~mrx/_hf_^_pk ¨ %¦efp¤kuZ]_-{nrpDS_|/tu_' k #&% 7 © efp¡ivhfhfxÙ¢_tuZ¡irhoh g¡p]ef×g]_º¼Vêop]ef^¦ivhp¡nr~m^¦ÚHS_z{kunr~H§¡_zh w iStutuns{ejilku_ w kmn 1-Deji-kuZ]_¦_U×SgJilkuefnrp ¼QSÚ X. UWV n:UYX.

(29) ±b¯±ª±°l´lÇï·sª¬³V´l®. Ø. S_p]_z~mirhoejtu_ w kuZ¡_[{hfiStutuej{hji'tyZJivqB_ w eoÖO_~m_pkuejivhD_z×g¡ivkuefnrp¼V¢Z]ej{Z ejt!~m_z{zivhfho_ w B_hfhonl¢Ú#eopkuZ¡_Ð¥µnShohfnl¢eop¡ iMivêohokunSpriS{nr¡eB_U×g¡ilkmeonSp¥µnS~[kuZ]_{Z¡ir~miS{<km_~meftykuej{¥µg]pJ{<kuefnrp , - ATFrF " ¨ A aDHD * A0D > 2GF F > > B ? ? A F = - D A L A ` DTA`DLK > Z¡_~m_

(30) ejtbi DSÉ DÚÆ w g¡ivhfeÏkx/nrqB_~ilkmnr~ ©Î _2tuZ¡ivhfh4irhftun w ejtu{g¡tmt,kuZJilk_z×g¡ilkmeonSp¤nrp¤kmZ]_ÙÇf±°l±Ç ¯±ªJtu_kukuefp]¡Àeopkm~un w g¡{kuefp]nSqJ_z~mivkunr~ 'y¢eokuZ]nSgsk4tyku_q )efp~m_hjilkmeonSpb¢eokuZkuZ]_kunr^nSr~ivq]ZDxefpDr_~tu_ q¡~unS]ho_z^ efp _zho_U{<km~unSîrrp]_kuej{MY V ¼Ìkm~mirp¡tur_~tu_M^¦ivSp]_kmef{,Ú^n w _ ©

(31) ! #" %$&

(32) _{nSp¡tue w _z~kuZ]_,_zrnrhfgskmeonSp-q]~mnr¡ho_z^ > >('. ?BA D ¨ > B '. F. ArD >. . ¼µ`Ú. á % á Ì á S

(33) C 5!±ª ¨ , - ArFrF ,JIACa7F,$ D D È³Ìª KMLON ¨ , - ArFrF ,JIACa7F,$D D °l±«<³ )$&l³Ì®DÄ ª

(34) D± )´lÇÌÇf´ È³Ì®Ä ·s®J³ )´l«<Å ³Ì¡® ªË±ÁÄv«u¸<³ÌÇÏ³Ìª'&-Æ´v®BÉl³Ìª¬³V´l®+* 2 F , D±«u±b±.-S³j¯<ª K rF0/ ?21 F43RD BD ,6587 rF /:9 S<; ¨ A BED =0>6 % ?4@ 9OK'B A/ ?B1 9 C , Dvª !J«m´ !]±«<ª &-³j¯b°²±«<³ Ñ4±É s±® ¨ ,)D ATFr FE,QI ACa#F'$ DHD È³Ìª

(35) FE&K 1HG IÙ´l«u±´l°l±« Ð±²¯¯<·sÅ± ª

(36) Dvª,ªs± !s´l¯<³ÌªQ³Ì°l± !]l«<ª´%)ª

(37) D±ÎÉv³Ì°²±«QÄ±®OÆm± KRLON ¨ > A0KRLON ¨ DOS A0KRLON ¨ D,=KJ,°²±«<³ Ñ4±¯ A0KRLON ¨ DTS , - A0rFT F , *XA a#F,$D D%JÐª

(38) Dvª4³j¯F* 2 S AKML0N ¨ ACBEDHD = L 6 % ?4@ 9 , - A0rF D,D , s±®2³ ) ?¨ A BuF<D D FHG K > C ²¯Hv®º±Ço±Å¦±®JªÈ´%m) , - ATFr FEc =N>M A > aD D DNJ ' , - A0rFT F ,QI ACaD D'v®BÉ ³Ì®J³ÌªQ³VvÇÆ´l®OÉl³Ìª¬³V´l ® ,QI ACaD.JÐªs±«m±±O-S³j¯ªQ¯H¯´vÇï·sª¬³V´l®]!¯ ÔªÁ´ªs± !B«u´S¸Ço±Å A rP D°l±«<³ )$&l³Ì®Ä. , * A0rFr F , I ACaD D( # - % DHQ ATFr F# = - % ACa#DHDKR A TF( F # =S>M % @> A aDHDEF s±«m± - ? D D - Q >T1 SIÙ´l«m±m´v°²±« ª

(39) D±«u2 ±±.-S³j¯<ªV¯ -Æm´v®]¯<ªËl®¡ª 2 ¯·¡Æ -ª

(40) DvªU* 2 , r F =L 6 % 0 % =0,> 6 % ?<V 9W9 - ='> 6 9 ? ' = M 6 % 0 % =,> 6 9 9 ¼QrÚ 2 2 / 0 A AKML0N ¨ A 3 DHD S = L 6 9 ? ' A 3 D = > 6 9 D 1 ? %? @ %? @ 2 2 / 0 A A0KRLON ¨ A X D D S =L 6 9? ' AYX D ='> 6 9 D0KZX D0K[3 % ?4@ % ?4@ W Ëp/nr~ w _~Mkun w _z~uefr_i-g]p]ej×Sg¡eop]_UtutH~m_ztug]hok?¢_tyZ¡irhohÈ{nrp¡tue w _~HkuZ]_ w gJivhÈq]~mnr]hf_^1¥µnS~?¢Z]ef{Z8¢4_ p¡__ w tu^nDnvkuZ¡_~MtunrhfgskmeonSp¡t © kMkuZ¡ivkMqBnrefpkM¢_p]__ w ^nr~m_,~u_zrg]hjiv~r_z{kunS~§¡hf_ w t ¨ ivp w ivhjtyn¥µ~m__ w eoS_~mr_pJ{_?nrp]_Ut'efpºnr~ w _z~[kun-irq]q]hfxkmZ]_tunv¹Ë{irhohf_ w Ér´v·J¸<Çf±¯ÆvÇo±]\lªË´ª

(41) D±´l« & © }!ntutuef]eohfx-kuZ]_,¥µ~m__ w eoS_~mr_pJ{_?irtmtyg]^qskmeonSp-efp2¢Z¡ilk[¥µnShohfnl¢'t{nSg]h w B_i²rnre wX© . non. ñprqtsuqtv.

(42) ´lÇ<¯<³V´. Û. . $ N$. U á â Ý â f % ÝDÝ â j Ý .µâ

(43) : $) _k # J_2iºSeoS_p¤_hf_^_zpSkefp , * A a#F,$&%NDM¢eokuZBKMLON(# > ©Ù _ {nrp¡tue w _~kmZ]_ g]pDJnSg]p w _ w nSqJ_z~mivkunS~

(44)

(45) eop>kuZ]_+'efhoB_~ukÎtyq¡iS{_ c > ,QIA aDuÀ ¢eÏkmZ w _p¡tu_ w nr^¦ivefp a > c - ACaD¦ivp w w _§¡p]_ w x D- > # DA ¼VSÚ Ák{zivp _ziStyefhoxJ_,S_~meÏ¥µxS_ w kmZ¡ilkkmZ]_i w nrefpSkg]pDBnrg]p w _ w nrqB_~ilkmnr~[r_z~ueo§¡_Ut > © ³j¯4ª

(46) D±[³Ì®UÑ®¡³ÌªË±¯³ÌÅ¦lÇvÄ±®O±«mlªË´l«´ )[M¯±Åb³DÄr«u´l· ! á % á Ì á S

(47) i

(48) , D±'·s®O¸m´l·s®OÉr±É?´ !]±«mlªË´l« ´%)Æ´l®¡ª¬«uSÆª¬³V´l®8³Ì® c > ,JI ACa#D }~unDnv¥ © Mkt c - ACa#D!R , ACa#DuÀ¶¢eokuZ > ÀXirp w iSt I- ? - ? - > 1 ÀXhf_k# J_i ty_U×Sg¡_p¡{_ efp # - % * ACa7F,$&%dD¢eokuZ KMLON # F beo# p , @ ACa#D irp w {nrpDS_~mrefp]kmn # ef p , M @ ACa#F'$&%kD ©Ð _,S_k * / 2 D - - K3 > / 2 # D A - - K3 . . . . .

(49) . . . . . . . . . - - K3 > L /2 A KMLON(# 2 ¥µ~mnr^%¢Z¡ef{ZÔeopÔkuZ]_2hfeoêok¦¢4_ w 2 _ w g¡{_-§¡~tkmhox kmZ¡ilk A # nSqJ_z~mivkunS~N ejt w ejtutuefq¡ilkmeoS_+* A D - D - K3 > © > L . /2 #. DA. . A. . DA. D. DI. ? A. - +K . # >. . DA. -. 8irp. D. - D0K3. w kmZ]_pÔkuZJilkkuZ]_. _{nSp¡tye w _z~p]nl¢ kmZ]_,_Snrhfgskuefnrp-ZxDqB_~mJnShoej{Hq]~mnr]hf_^ iStutuns{ejilkm_ w kmnivpDx_zho_z^b_zpk ¨ # -$% * ArFr F , * ACa#F'$ % DHD P ¢eokuZ KRLON ¨ ACBuF3D D > 5 D D B © _{nrp¡tue w _~¶kmZ]_g]pDJnSg]p w _ w nrqB_~ilkmnr~ 1ACBEDOefpkuZ¡_UeohfJ_z~yktuq¡ir{_mc > - >¨ ACBED,D A - ¢eÏkmZ w _zp¡ty_ w nr^¦ireop a > c - ACa#D¢Z]ej{Zºejtefp w _zqJ_zp w irpSk ,JI A aD w _§¡p]_ w Dx ACBED'D & nSp7B © Y[Z]_Y!~meoq]hf_k 1 ¼ © Ú<À À 0 ejt'kmZ]_pºi .0'¹Ëtyxstyku_z^ efp2kuZ¡_tu_p¡tu _nv¥½ Ûl¿[¼µq¡irr_ Úirt'¢4_ tuZ¡irhoh S_~meÏ¥µxkuZ]_?¥µnShohfnl¢eop¡btykmir]eohfeokx{nSp w eokuefnrp *+¥µnS~'ivpDx¦kuef^_zjt B - ? D DDD ? B " À 7$ ACB FJ Í D'D $ A B - FmÍ D AÁÍ `D = " Í D'D DD $@A B I FJ ¢Z¡_~m_ÐkmZ]_~u_UtynSholirpSk $ ACBuFmÍ D > A¬Í ?1 ACBEDTD = - _|Dejtykmt¥µnr~Èirp1x BLK © Y[Z¡ilktykmiv¡eohfeÏkx{nrp w eÏkmeonSp ejt¶nSDefnrgJtyhfx'r_z~ueo§¡_ w ¥µ~mnr^ kuZ¡_q]~m_DeonSg¡t¶{nrpku~ir{kuefnrp?q]~mnrqB_~ukxnv¥D_ziS{Z,nrqB_~ilkmnr~1 A B " D © ¢_Ènrskivefp kmZ]_?¥µnrhfhfnl¢eop]b~m_ztug]hÏk¼y½ Ûv¿¬ÀskmZ]^2Õ © q¡ivS_bÕSÕUÚ ¨ # -$% * A0rFT F , * A a#F,$&%NDHD.J ' , L PE ArFr F ,JIACa#DHD FÐv®BÉ - c - ACaD.J á % á Ì á S

(50) $ 5!±ª ª

(51) D±«u±b±.-S³j¯<ªQ¯,·s®¡³·¡±?¯´lÇï·sª¬³V´l®. A' rF( FEc - A aDHD( - A' rF( FE, I ACaD D ªË´ª

(52) D±b±°l´lÇÏ·sªQ³V´v® !B«u´S¸Ço±Å C G . !. #". $. &%('. $. *). UWV n:UYX.

(53) ±b¯±ª±°l´lÇï·sª¬³V´l®. . á â Ý â f % ÝDÝ â j Ý .µâ _ w ef~u_U{<ku_zhox8ivq]q]hfef_ w kuZ]_kmZ]_nS~uxÎefp/kuZ]_8'efhfJ_z~yk tuq¡ir{_ , I A aDivp w ¢_ w _~meoS_ w kmZ¡ilk ¨ ACBuF<D D ,+* ACaD?¢[irt_p]nSg]rZ kun w _ztm{~meoB_kmZ]_2ty_z^befr~mnrg¡q © ~mnr^ cDnSJnSho_z¤_^ B_ w eop]/efp]_z×g¡irhoeokuef_zt¢4_ ZJi²r_c - A aD

(54) R ,)D ACa#D,¥µnr~¦ivpDx E %@I %= - © _k ¨ B_Îi/refr_p&_hf_^_zpSk¦efp ,A a#F,$&%ND?¢eokuZ K+? %%@S= -- ivp w KML0N ¨ > © _k'g¡t[nS¡ty_z~uS_kmZ¡ilk'efp w eo^_zp¡tyefnrpÎÃkuZ¡_?¥µnrhfhonl¢efp]beop¡{hogJtyefnrp Z]nrh w t * c - ACaD R , ACaDÈkmZ]_p iSttynDnSp iSt ¨ ACBuF3D D , ACaD¢_,r_k , - c - ACaDEF -O¨ A BuF<D D,D A - , - A aD,D Y[Z]_tu_êS~unSg]q/eftirhftun w ejtutuq¡ilkmeoS_¦irt?¢_hfhÐirt?Z]ejti w nrefpk,kmiv£Defp] kuZ]_ !irp¡ir{Z/tyqJir{_ c > , A aD¢Z]efho_?kmZ]_ w _p¡tu_ w nSîreop ej t > c - ACaD © Y[Z]_p2¢_?r_k[kmZ]_ á % á Ì á S

(55) 5!±ª ¨ # -$% * A TF( FT, ACa#F'$&%dD D È³Ìª

(56) KML0N ¨ A BuF<D D > D 5!±ª ³Ì®¡³Ìª¬³VlÇ?ÉrvªÁ - c - ACa#D,v®BÉ ' # -$% * A TF( F , A aDHD.J4ª

(57) D±® É)&l®BlÅb³VÆlÇ!¯ &²¯ªË±Å C G D²¯·s®J³·¡± ¯´lÇï·sª¬³V´l®. Ô°²±«<³ )$&l³Ì®Ä. ArD > - F A' rF( FEc - A aDHD:( - A' rF( FE, A aDHD'D !xbku~ivp¡tuqBnStueÏkmeonSp¦ku_U{Z]p]ej{kuZ¡_Mq]~m_Defnrg¡t4_|sejtkm_p¡{_~m_ztug]hokÐ¥µg]~mp]ejtyZ]_Ut4irpg]p]ej×g]efp]_ztmt~u_Utyg]hokmt¥µnr~ ¢_zir£tynShog]kuefnrp¡tiSt¥µnrhfhonl¢'t © _k ¨ ,JI A0rFT F ,QI ACa#F'$#%NDHD[ivp w À¡¥µnS~ L >&1 F sGÀ 1

(58) ,+* A' rF( #aDSR ,QI ATFr FE,QIA aDHD[J_ k¢n¦tynShog]kuefnrp¡t4kunkmZ]_,q]~mnr]hf_^ Àsrefr_p ^ ,QI ArFr F ,JIACa#DHDuÀ

(59) : $)

(60). . . . > 1

(61) ? KMLONA1

(62) > B. ¼Qtyn 1

(63). ,JI ATFrFE,QI ACaD D ( c - A0rFTF c = - ACaD DKR 1

(64) HA0D >. _,ty_k >. 1 -. . 1 I. ¨. D > ^. A' rF( FEc = - I A aDHDËÚ¢eÏkmZÎeop]eokmireoh¶{nrp. w eÏkmeonSp. c = - I A aD. ¢Z]ej{Z-S_~meÏ§J_ztÐkuZ]_?Z]nS^bnSr_zp]_nSg¡tÐS_~tyefnrp¦nr¥#kmZ]_?q]~u_zDeonSg¡tÐ_U×g¡ilkmeonSp © _Hr_k , A TF( F c - ACaD D( - A TF( F , ACa#DHD F A D > TF /10 / 2 1A > ? A F ¨ K D0K3GK[B > . > B. . ¨ # - % * ArFrF , ACa#DHDuÀS¥µ~mnr^ kmZ]_kuZ]_q]~m_Defnrg¡t kmZ]_p#Àreo¥JkmZ]_[r_z{kunS~!§J_h w¨ ejtÈty^nDnvkmZ]_~Èefpkuef^b_SÀ P ¢_hfhOqJnty_ w _p¡_ztmt ejt[nr~ukuZ]nSrnSp¡ivhBeop,QI ATFrFE,QIA aDHDÈkmnirpDx¦_hf_^_pk ' # - % * ArFrF , ACaD DuÀ ¢[{Z]ej{Z-ejti w _pJty_tug]¡tuq¡ir{_ © Y[Z]_zp > ivp w ¢4_,{hfireo^ kuZ]_,g]p¡ef×g]efp]_ztmt[nv¥kuZ¡_tynShogskmeonSp © J ^ ,JI ATFr FE,QIA aDHD8v®BÉ á % á Ì á S

(65) 5!±ª ¨ # - % * ATFr FE,A aDHD È³Ìª

(66) KML0N ¨ > 01 . c = - I ACa#DMª

(67) D±«u±³j¯ ·s®¡³·¡±,¯´lÇÏ·sªQ³V´v® C ³ )?³Ìª[±O-S³j¯<ªV¯ G 1 , *XA0rFT F , * A aDHD?ªË´ªs± !B«u´S¸Ço±Å >. > B. non. ñprqtsuqtv. 1 ?. KML0NA 1. ¨. D >. ^F. 1A0D >. .

(68) ´lÇ<¯<³V´. ÕU . . .

(69) .

(70)

(71) Z$.

(72) ! [.

(73) . . .

(74) . _{nSp¡tue w _z~kuZ]_ w gJivh¶_zrnrhfgskmeonSpq]~mnr]hf_^ >. ¨ D > ^F oA0D > ¼¬ØvÚ !x km~mirp¡tyqBnStueokuefnrp¾km_z{Z]p¡ef{-kuZ¡_ q¡~u_zefnrgJt_|seftyku_zp¡{_ ~u_Utyg¡hÏk¥µg]~mp]ejtyZ]_Utivp&g]p]ej×Sg¡eop]_Ututb~m_ztug]hokmt¥µnr~ ¢_zir£tynShog]kuefnrp¡tiSt¥µnrhfhonl¢'t © E D ^TD ,QI ATFr FE,QIA aDHD á % á Ì á S

(75) U 5!±ª ¨ # - % * ATFr FE,A aDHD È³Ìª

(76) KMLON ¨ > 0J ' A 3O: v®BÉ c = - I ACaD F, D±®bª

(77) D± !B«u´S¸Ço±Å C G C «u±¯+! C G G Dl¯M·s®¡³·¡±Ð¯´vÇï·sª¬³V´l®b³Ìd® , * ArFr F , * ACaD D _k ¨ , I A0rFT F , I ACa#F'$ % DHD[ivp w À¡¥µnS~ L >&1 F sGÀ 1

(78) , * A' rF( #aDSR , I ATFr FE, I A aDHD[J_ k¢n¦tynShog]kuefnrp¡t4kunkmZ]_,q]~mnr]hf_^ Àsrefr_p ^ ,QI ArFr F ,JIACa#DHDuÀ > B. ?. KML0NA. . *). >. > B. ¼Qtyn 1

(79). . ,JI ATFrFE,QI ACaD D ( c - A0rFTF c = - ACaD DKR 1

(80) 0A D >. _,ty_k >. 1 -. . 1 I.

(81) Ð¨. 1

(82) ? KMLONA1. D > ^. A' rF( FEc = - I A aDHDËÚ¢eÏkmZÎeop]eokmireoh¶{nrp. w eÏkmeonSp. c = - I A aD. ¢Z]ej{Z-S_~meÏ§J_ztÐkuZ]_?Z]nS^bnSr_zp]_nSg¡tÐS_~tyefnrp¦nr¥#kmZ]_?q]~u_zDeonSg¡tÐ_U×g¡ilkmeonSp © _Hr_k , A TF( F c - ACaD D( - A TF( F , ACa#DHD F A D > TF / 0 / 2 1A > ? A F ¨ K D0K3GK[B > . > B. . kmZ]_p#Àreo¥JkmZ]_[r_z{kunS~!§J_h w¨ ejtÈty^nDnvkmZ]_~Èefpkuef^b_SÀ ¨P # - % * ArFrF , ACa#DHDuÀS¥µ~mnr^ kmZ]_kuZ]_q]~m_Defnrg¡t ¢_hfhOqJnty_ w _p¡_ztmt ejt[nr~ukuZ]nSrnSp¡ivhBeop, I ATFrFE, I A aDHDÈkmnirpDx¦_hf_^_pk ' # - % * ArFrF , ACaD DuÀ ¢[{Z]ej{Z-ejti w _pJty_tug]¡tuq¡ir{_ © Y[Z]_zp > ivp w ¢4_,{hfireo^ kuZ]_,g]p¡ef×g]efp]_ztmt[nv¥kuZ¡_tynShogskmeonSp © Ó 0 3[ d!"-<!" 1

(83) Ý $) 5#±ª ¨P , - ATFrFT, - ACa7F,$&%dD D?v®BÉ . . . .

(84) . . . > 1 ? > B. , s±® Ð ±,sl°l± . >. > B. 1. . = M 6 %0 % M L. . 2. 6 9 9. 1 , * A0rFTFT, *XACa#DHDH¯´vÇï·sª¬³V´l®ÙªË´. KML0NA 1. 1 . =L. ¨. . D >. 6 . %0. 2 "! #. 9 ¨. . = M 6 %0 %= M 6. 2. 99. ¼VÛSÚ. UWV n:UYX.

(85) ±b¯±ª±°l´lÇï·sª¬³V´l®. ÕSÕ. , * ATFrF$# $- % * A aDHD4¢4_?Z¡i²S_ 2 / 0 ? > 1F - K @ L 6. > B M 9 . }~unDnv¥ © , Y[Z¡_p. / 0. >. -. 2. FM L. FM. #. . L. 2. / 0 /2. 6 9 K[B >. 2. ¨ = M 6 . ¨ 1. . 2. DA. - +K . K'B. - = M 6 % FM L. 2. 6 99 M @L 6 9 '

(86)

(87) %$ . _ w _UivhX¢eokuZ2_hf_^_pkt ' ¢Z¡ef{Z2iv~m_,{nrpkmeopDg]nSg¡teop#c = I ACa#D ® , - ATFrF " ¨ A aDHD+¯<·¡Æ ,ª

(88) Dvª I ' ³j¯[¸m´l·s®BÉS±É á % á Ì á $:C 5!±ª ' ¸u±[,¸m´l·s®OÉr±É¯± ·¡±®OÆ±³ÌN ³Ì® , - A0rFrF c = IACa#DHD J·¡Æ /±Ço±Å¦±®¡ªQ¯¸m±Ço´l®DÄÎªË´ A TF( F c = I A aDHD.JH²¯¯<·sÅ±ªslª ' ArD > ' ³j¯¾ Är³Ì°l±®5±Ço±Å¦±®Jª³Ì® " ¨ ACa#D , s±® ªs±«m± ±O-r³j¯<ªQ¯¤ ¯·J¸<¯± ·¡±®BÆ± ¯<ª¬«u´l®DÄvÇ &Æ´v®¡°l±«QÄ±®¡ª³Ì® , - A0rFT F , - ACaD D _[i w irqsk#kmn'kuZ¡_4q]~m_ztu_pk+tyeokug¡ivkuefnrp,kmZ]_q]~unDnr¥]nv¥¶½fÕ¿kuZ]_znr~m_^ © ÕÐq¡irr_[vÛ¼Veop kuZ]_[nrS_~Y#_zîr^ t S_~tyefnrp-refr_zpefp-¥µnDnrk'p]nvkm_ztÚ © Ý $)

(89)

(90) , K rFª

(91) D±«u±b±.-S2 ³j¯<ªQ¯,-Æm´v®]¯<ªËl®¡2 ª È³Ìª

(92) ,.- 2 " ¨ ACa#D F - = 6 9 - 8 6 9 ? - > 6 9 M }~unDnv¥Ènr¥kmZ]_ hf_^^¦i*[irtmtug]^_?kuZ¡ivkMeokeft¢~unSp] © Y[Z¡_p¶À , K ]ÀJkuZ¡_~m__|sejtkt - " ¨ ACa#Divp w 2 2 2 tyg¡{Z-kuZJilk - = 6 2 9 M 7 - 86 9? - > 6 9 _,efpSkm~un w gJ{_ > - - 8)6 9mÀ¡2 irp w ¢4_ w _z~uefr_3* 2 7 = 6 9 2 2 M 7 ? > 6 9 2 © !gsk?ivhjtyn = 2 6 9 86 9 > +ÀJ¥µnr~?tynS^_ {nSp¡tkivp k. [ Y ] Z _ p * > 6 9 © M !gskÐiSt! 8:6 9 > 1 ÀrkuZ]_z~u_[_|sejtktÈi?tyg]Jty_U×Sg¡_p¡{_[tyku~mnrp¡rhfx{nrpDS_~mr_pkeop , - ACaD R c 2 = I ACa#D F 7 O© ¢Z¡ef{Z¦kmg]~mp¡tkmn B_Mtyku~mnrp]Shox{nSpDr_~mr_zpkÈkun z_~mn © Y[Z]ejtÐejt4i{nSpSkm~mi w ej{<kuefnrp¦¢eokuZ = M 6 9W9 }È~mnDnv¥nv¥kuZ]_,q]~mnrqBnStueokuefnrp * ~mnr^kmZ]_,hf_^^¦i]À , G K ¡ÀDkuZ]_z~u_?_|Dejtykmti{nSp¡tkivpk@K tug¡{ZkmZ¡ilk . . . ?. > B. . . 1F. K. . . #. . 6 9 K'B. 1. . #. 9. . . . . . 2. ,<'. , - ATFrF. ". ¨2. A aDHDEF. 2. ' = M 6 % 0 % = M 6 9W9 G ' = M 6 % 0 % 8:6 9W9 ? K ' = M 6 % 0 % > 6 9W9 _¤{nSp¡tye w _z~-p]nl¢ kuZ]_/ku_z~u^¦t ' % > ' 2 ' À¥µnS~ 5K G © eÏkmZ kmZ]_ eop¡eÏkmefirh?{nrp w eÏkmeonSp ' A0D > Hefr_zp"!QK ¡À]irt$ ' % = M 6 % 0 % 86 9W9 Àseo¥!¢_,{Z]nStu_;G/tygJ{ZkmZ¡ilkjG 1 #!UÀ 2 2 ¢_,% tyZJivhfhXr_k%$ ' = 6 = 6 W 9 1 ! ? K ' 9 = 6 > 6 9W9 % M %0 % M % M %0 % . . non. ñprqtsuqtv.

(93) ´lÇ<¯<³V´. Õ². © kkmZ¡ilkÐqBnrefpkÈkuZ]_M{nrpJ{hfg¡tyefnrpb¢efhoh w _~meoS_[eÏ¥X¢__kmir]hfeftuZ¦tkm~unSp],{nrpDS_~mr_pJ{_4kun#_z~un?nr¥ ' % efp © 'nl¢,À²irJt , - ACa#DKR c = I A aD!¼Ì¥µnS~ Ú<ÀU¢4_ÈS_k ' % # - % - A0rFrF c = I A aDHDKR 2 ( uÀ¡irp w , B K rF ' % ACBED > 6 9 tunkmZ¡ilkDx¦g¡tu_Mnr¥ _zJ_UtySg]_ w nrêopJilku_ w {nrpDr_z~uS_p¡{_kuZ]_znr~m_^5eok[¢efhfhBB_,tyg¦{eo_zpk4kmnq]~mnlr_kuZ]_ qBnrefpk¢eftu_{nrpDr_z~uS_p¡{_nv¥ ' % A BED'tkm~unSp]rhfx ku. n _~mnefp c= I A aD © _¦tuZ¡ivhfh!q¡~unlS_ eokM¥µnSd~ B > © _,Z¡i²S_ ' % A0D >5 ? Às¢eÏkmZ 5 > 1 3 / W ' % A BED0K[BuF > 1 3 / W AY3 BED ' % ACBED0K[B Á# ¥ ! K beftSeoS_p ¢4_,{Z]nty_]3tug¡{Z-kuZ¡ivk 2 2 W / >6 9 ' % A BED >'6 9 K'B efp¡ivhfhfx¢4_?nS¡ty_z~uS_kmZ¡ilk 5 b¢4_Uiv£Dhfxeop " ¨ ACa#DuÀskmZ]_pÎtyku~mnrp]Shox¦ef# p c = I ACaD © , - A0rF TF c = I ACaD D 'A rF FEc = I ACaD D. . . . K

(94) _ w _z~uefr_ w kuZ¡__|seftyku_zp¡{_[nr¥Jkmg]J_'iStutuns{ejilkm_ w kmniHr_z{kunS~!§J_h w¨ ¢Z]efhf_[kuZ]_[»¡nl¢Ô^¦ivq]q]efp] I A ¨ D w n_Utp]nrkÐ_|sejtk © '_kmZ]_~mr_zho_Utut¢4_'p¡__ w i~u_zrg]hjiv~meÏkxtyg¡{ZiSt ¨ # -$% * A0rFrFr, ACa#F'$#%NDHD¢Z]ej{Z ^¦ir£r_ztq]~mnr¡ho_z^5¥µnr~[^¦ivpDx¦liv~mefivkuefnrp¡irhOirq]q]hfef{zilkmeonSp¡t¢Z]_~m_kmZ]_H§¡_h w tyZ]nSg]h w B_?p]n^bnS~u_H~m_rg¡hfir~ © nr~?kmZ¡ilk~u_UirtunrpÙ¢_ w _S_hfnrq iÎty_kykmeop] kmZ¡ivp , I ATFr FE, I A a#F,$ % DHD ¼'irp w ivhjtyn2eokmt w efr_z~uS_p¡{_UÚ 3 efp/¢Z]ef{Z8p]nrp¡__|km~mi-~m_rg¡hfir~ueokx-ejt?~m_z×g]ef~u_ w nrpÙkuZ]_r_U{<kmnr~M§¡_h w ¼[irp w eokmt w efr_z~uS_p¡{_UÚ']gsk,¢4_ tuZ¡irhoh¶ef^qJnty_i~u_zrg¡ir~ueokxnrp kmZ]_,kug¡J_JnSg]p w ir~ux © Y[Z¡ivk~u_zrg]hjiv~meokx¦¢eohfh#B_~m_hjilku_ w kun¦kmZ]_,kug¡J_ kmZ]~mnrg]SZbeokmtJnSg]p w ir~ux !s±«<³ÌÅ±ªË±« © kkuZJilkÐqBnrefpkÈkuZ]_z~u_ir~u_tu_S_~ivhsqBnStmtyef]hf_'ivq]q]~mnSiS{Z]_ztnr¥BkmZ¡ilk {nrp¡{_qsk ©%# p]_qJntutuef]eohfeokx ejtkun-{nrp¡tue w _~kuZ]_ ªQ³ÌÅ¦± Á¯+!]rÆ±MqB_~meo^_km_~Hnv¥ÈkmZ]_ hjilkm_~ivhJnSg]p w ir~ux R nr¥kuZ]_-kug¡J_SÀÐivpÔnvkuZ¡_~ nSp]_ eft kun/{nrpJtye w _~kuZ¡_kmeo^_ eopku_zr~ivh4nv¥kuZ¡_ tuq¡ilkmefirh4qB_~mef^b_ku_z~nr¥'kuZ]_ ^nlDefp] w nr^¦ivefp&¢Z]ef{Z ]g¡eohok¦kuZ]_ºkug]B_ © Y[Z¡_2§¡~mtykivq¡q]~unir{Z¾¢nrg¡h w ¥µg]~mp]ejtyZ ef^b^_ w efivkir{z{_zt kmnºkmZ]_liv~mejilkuefnrpJivhq]~mnrqB_~ukuef_zt nv¥kmZ]_ !nSg]p w _ w *iv~mefivkuefnrp ¥µ~iv^_¢nr~m£8irp¡ttuqB_z{eo§J×g]_zhox/kunÙkuZ]_ SnDn w {nr^q¡ir{eÏkx-q]~mnrqB_~ukuef_ztnr¥kmZ]_¥Virêohfx-nr¥+kug]B_ztM¢eÏkmZÎJnSg]p w _ w qB_~meo^_km_~tefp $ %JS - © Y[Z¡ilk irq]q]~mnSiS{ZÙ¢[irt,{nSp¡tue w _z~u_ w efp ¼½Âvl¿ÌÚ © Ák ho_ w kunÎr_z~uxÙZ¡i²DxÙliv~mefivkuefnrp¡irhÈivp¡irhoxstueft ©¦ _-{nrpJtye w _~ Z¡_~m_,kuZ]_bty_U{nSp w ivq¡q]~unir{Z2ivp w ¢4_bi w irqsk'kuZ¡_ ~m_ztug]hÏkt'nr¥¼½ÂvÃl¿µÚ[kmnkmZ]_{zirtu_nv¥S_z{<kmnr~t[§¡_zh w tMefp , - A ArF D 3a#D ©È _HZJivp w hf_H_|seftyku_zp¡{_H~m_ztug]hÏkt¥µnS~tynShogskmeonSp¡t4nv¥¶kmZ]_,{nrpDS_z{<kmeonSp_z×g¡ivkuefnrp¶À]gskp]n g¡p]ef×g]efp]_Utut[~m_ztug]hokzÀDkuZ¡_MkmnDnrhXefpkmZ¡ilkirq]q]~mnSir{Zeftkmn{nrp¡tue w _~kuZ¡_ty_k[nr¥!q¡ireo~kt A 1F ¨ DÐtunrhfefp]kuZ]_ {nrpDr_U{<kmeonSp¥µ~mnr^ SeoS_p eop]eokuejivh!ty_@k ->ef p a * Hefr_zp ib^_ziStyg]~iv¡ho_?tyg¡¡ty_k - R aÎÀ]¢_H{nrp¡tue w _~kuZ]_?¥µnShohfnl¢efp]btu_kt[_z×g]efq]qB_ w ¢eÏkmZ ~m_ztuqB_z{<¹ kmeoS_?¢4_Uiv£¦kmnrqBnrhfnrref_zt * > 1 , * ATFr FE, * ACaD DÐ¢eokuZ 1 I > 1bFGAC1 , - ATFr F - A a#F,$ % DHD ¼VSÚ Y[Z¡_?tu_k ejt[_z×g]efq]qB_ w ¢eÏkmZ2kuZ]_H¥µnShohfnl¢eop¡b¢_zir£kunSqJnShonSrx"* . . . UWV n:UYX.

(95) ±b¯±ª±°l´lÇï·sª¬³V´l®. ÕUÃ. w nrp]hfxeo¥!kmZ]_?k¢n¥µnShohfnl¢efp]b{nrp w eÏkmeonSp¡t[Z]nrh w * ,.- , - A' rF( aD F / 0 / 2 A 1 1)D - K3GK[B / , ^ , - A0rFrF D ACaD D F 0 / 2 A0AC1 A 1)D ^ K[BTK+ D > ¨P , - ArFr ¨ , - ATFr FE, - A aDHD F , - ACa",! $ % D D Fu¢eÏkmZ KMLON P _U×g]eoq¡qJ_ w ¢eokkuZ¡_,¢4_Uiv£ X AC, - FE, *3DÈkunSqJnShonSrx * , , * A' rF( a"!,$ % DEF / 0 /2 ? A ¨ ¨ D F K K3GK[B 1. . 1¾eo¥+irp. . . . ¼yÕzSÚ. . . irp w. ,. / 0 /2. , * A' rF( a#D F. _k'g¡t'{nrp¡tue w _~kuZ¡_?¥µnrhfhonl¢efp]ty_k * 2. > . A 1F. ¨. D . A0KRLON. . y¢eokuZ F. >. > B. ¨ . 1?BAC1ED ¨. KRLON. >. ¨ D J K3GK[B . rF+1A0D > 1 2. . ¼yÕrÕUÚ. DÝ á Ý $) , D±¯±ª 2 ³j¯ ÆÇo´²¯±É³Ì® }~unDnv¥* _k A 1 F ¨ D A 1F ¨ D © Á¥ÐkuZ]_{nSpS_~mrefp]tu_z×g]_pJ{_ ejtMeop 2 ¥µ~mnr^ kuZ¡_ ![ivpJir{ZÙckm_efp]Z¡ivgJtut kmZ]_nS~u_z^ ¢_HS_k[kuZ¡_,JnSg]p w _ w p]_ztmtnr¥#kuZ¡_?¥µnrhfhonl¢efp] , - A0rFrF" ¨ ACa#DHDÐp]nS~u^ * /10 1 6 2 9MK[B M ¥µ~mnr^ kmZ]_q]~m_Defnrg¡t ~u_Utyg¡hÏkt ¢_S_k kmZ]_2tkm~unSp] , - {nSpS_~mr_zp¡{_nv¥kuZ]_ ty_U×Sg¡_p¡{_ 1 ÀÈkmZ]_p kuZ]_ hfef^beokuefp] _hf_^_pk?r_z~ueo§¡_zt 1 I > 1-irp w ¢eokuZÙkuZ]_¢_zir£2{nrpDr_z~uS_p¡{_ztnr¥ÐBnvkuZ ¨ ivp w KRLON ¨ ¢4_ S_k,efp8kmZ]_hoefêÏkeop8kuZ]_¦¢_zir£2¥µnr~m^ g]hjilkmeonSp&¼QÃSÚMnv¥kuZ¡_{nrpDS_z{<kmeoS_ _U×SgJilkuefnrp8¥µnr~?kmZ]_¦q¡ireo~ A 1F ¨ D ¢Z¡ef{Z-kug]~mp¡t[kmnJ_irp-_zho_z^b_zpk'nv¥ 2 * ,.- * A TF(#aDEF - A'r F<D D > rF / 0 /2 1 A > - ? ?&¨ F'A - K - KRLON ¨ D0K3GK[B&? / - A0rFPD0K3 > 4 . . . non. ñprqtsuqtv. > B. 2.

(96) ´lÇ<¯<³V´. Õz` . . . .

(97)

(98) .

(99) .$ ( . .

(100) . -Ý Ì Þ Ý Ý Ý nrhfhonl¢efp]-½oÕz`l¿Ào½fÕzÃl¿Às¢4_?{nSp¡tye w _z~4¥µnS~ivpDx{hfnStu_ w tu_k fe p a kuZ]_ w _zp¡tueÏkx¦qB_~meo^_ku_~iStutuns{ejilku_ w kmn¦ivpD x 7K DxkuZ]_?¥µnShohfnl¢eop¡ © A ND > 3 ZE 6 % 9 5 #3'! AY D ¼yÕUrÚ Z¡_~m_ eftkmZ]_ w efhfivkuefnrp >

(101) "XAP F !D © _,~u_U{irhohXtunr^_?îreop2q]~mnrqB_~ukuef_zt * Y[Z]_,^¦ivq¡q]eop¡

(102) - A > -;Dejt[hfnl¢4_z~y¹Ëty_zêO{nrpkuefpDg]nrgJt4efp kuZ]1_ c ¹¬kunSqJnShonSrx Y[Z]_?q]~mnrqB_~uk x A > -;D ? eo^q]hfef_zt[kmZ¡ilk'^_ziStt A > -;D > irp w - > - eftnSqJ_zp-efp a D Á ¥ A > - D ivp w - {nSpS_~mr_UtÐefp kuZ]_ c ÙkmnrqBnrhfnrrxkmntynS^_HnSqJ_zp tug]¡tu_k -2R a#FykuZ]_zp kuZ]_{nrpDr_z~uS_p¡{_Z]nSh w t'eop-kuZ]_ , I ACa#DVkunSqJnShonSrxnr¥#kmZ]_{Z¡iv~ir{ku_z~uejtkmef{¥µg]p¡{kuefnrp¡t $) . g. &. . . . Ý Y % Ý ! Ý 4ho_UivpÎnrqB_p2kmg]B_ejtitu_k eop YrF) a tug¡{Z2kuZJilk¥µnS~ 5 D MD BÀ-. I > a kA BuF D eft irp-nSqJ_zpÎty_k[ef# p a r_~meo¥µxefp]¥µnr~'irho^nStyk_S_~mx3BÐefp&ArF DÈkuZ]_?¥µnShohfnl¢efp]¦{hf_zivp¡_ztmt4q¡~unSqJ_z~ykx * 5 '3 A > -. IED > TF -. I > efpku_z~uefnr~[nv¥ A -. IHD'D ¼yÕzÃSÚ nvkmef{_'kuZJilkiStÈkmZ]_q]~m_Defnrg¡tÐnrqB_p]_Utut4{nSp w eokuefnrpZ]nSh w tÐilk[ivhf^nStykÐ_S_~mx kmeo^;_ B[ÀkmZ]_Mtu_k eft4p]nvk p¡_z{_Ututmiv~m_hfhfxeokmtu_ho¥irpnrqB_p tyg¡¡ty_kefp YrF) a © '_kmZ]_~ukuZ¡_hf_ztmtÐ¢Z]_zpkmZ]_M§¡_h w ¨ ejttu^nDnvkuZkuZ]_ kmg]B_ FR4 B / I A ¨ D A0- DejtnrqB_p¤¼µ~m_ztuq © nSqJ_zpºivp w {hf_zirp2nrqB_pJÚ¢Z]_zp2kuZ]_,efp]eokuejivhty_k - eft nSqJ_zp/¼V~u_Utyq © {hf_zivp nrqB_pBÚeo# p a © _ tmi²xkuZJilkk¢nkug]B_zt irp w ir~u_,_U×g]eolirho_zpSk'eo¥+kuZ]_{Z¡iv~ir{ku_~mejtkmef{¥µg]p¡{kuefnrp¡tMiv~m_H_U×g¡ivh iStH_hf_^_pkmt?ef& p ,QI A0rFrF ,JI ACa#DHD ¼µe © _ © 1 > 1! Ú<À#kuZ¡ivk?ejtHkunÎtmi²x2kuZ¡ivkilkivhf^nStyk?_zr_z~ux kuef^3 _ B kmZ]_Mk¢4nbty_kmt a A BuFPD " Hivp w a ACBuFPD Hiv~m_'kmZ]_?tuir^b_Mg]qkmnbi ^_ztug]~mir]hf_ tug]¡tu_k # nv`¥ a r_~meo¥µxefp] 5 '3 A$# D > © Ý $) $ 5#±ª ¸m±bÅ±¯<·s«uS¸Ço±¯±ª4³Ì® TF) a J³ )?ª

(103) D±«u±±O-S³j¯<ªV¯,ÆÇo±l®/´ !s±®ºª¬·J¸m% ± ¯<·¡Æ ª

(104) Dv:ª 1 & > 1(& ' JÈªs±®Îª