A Global Algorithm for Nonlinear Semidefinite Programming
Texte intégral
(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. A Global Algorithm for Nonlinear Semidefinite Programming Rafael Correa — Héctor Ramírez C.. N° 4672 Decembre 2002. ISSN 0249-6399. ISRN INRIA/RR--4672--FR+ENG. THÈME 4. apport de recherche.
(3)
(4)
(5) "!#$%& (' )
(6) *+%
(7) ,.-0/1-3254$687:9;9<2=-3>=?A@B5C5DE739,.-3F GH9;2JIK6 LNM O(PRQ SUTWV8XZY=[\S*]R^`_ab[Nc5dTa cfegab[NSU[`hi_jai[\cfd k Thil=h1aiQ;SUT;h mc5SUeR^NT ngT;h oqpbcjrsT atYJuwvxy x z$_feRe3cfpia k TpiT<mPRT pmPRT{d3|VJ}J~fXvT<mT SRpbTf f JWXRte0_jfT<h .; Rff dabPR[`h$e_fe0T;p$Tepic5e0cJh1T_U5^Nc5_j^_f^N5cfpb[abPRSc5ph1c5^N=[\dRUdRcfd^N[\dRT;_fphiT SU[ k TdR[NaiT eo¥pipic5c5ffpp_j_jSUSUSUSU[N[NdRdR=¦AeRpiSUc5TRab^\PRT S#c k h RSUO(cPRk[`hA[N_jT;^\fhcfabpbPR[NaiT*PRYJS§sYgv[\do¨h1e¡H[NpbY=T T;k ¤J]R[NdT;d5aiabP[\T(_f^Nm ^\l^\_5hiY=hiT;[`SUmY[ k tT o¢dR¡£[NYgaiTT;¤Joq]RpbT cfdJ5abpb[\_f_f^NSU^\lS8 t[\dR]=_ ¦qk ^\pbcg_jm ai_j[`m ^ SUT aiPRc k =l©]hi[NdR#_8dRc5d k [Nª3T;piT;d5ab[\_fR^\TwSUT;pi[Na ]Rdmai[\cfd«mc5S*R[\dRT k [NaiP«_8^N[\dRT;_fp$h1T<_jpmPh1aip_abT fl ¬«J®:¯b°*± ²f%³ c5dR^\[NdRT<_jpwh1T;S8[ k T dR[NaiT*epic5fp_jSUSU[NdR0Rh1T<¤J]RT dJab_f^N^\l eRpic5fp_jSUSU[Ndgf^\cf0_j^m cfdg§ 5T pbfT;dmT. µ·Á<ÃÅ´wàtÆŶµ·á Ù¶s¶sܸâÂ$¹HÀº»ºÀ¶(¹£ÃÅÂÆf¼N½¾Õ0¶1º¸º»Ä1¹¿½¾º»½Àbº»¼¹£¶iÁEÀ¿¶sÝÂ$ÀbÇ<¹HÀbÃÅÁEÂW¹£¶sÃÅÄiÂ$Ù ÞEÀÀbÆ3Äß¹£ÁE¿WÃÅÃÅÄ1ÆÅÀ¶¾½;ÆÙÇ<Äs¶1ÆÜÆÅÆŸEß<ȾÃÅÈE¸EÉg¶sʶsº£¿ÃŸ<ËÍÈEɷ̾Êθ<Ï;ÃоÑɶ1ʺ»ÒH¸Eà ¹Ôà ÓUѶs½º»¼AÒHà ¹Ôµ:Ó*ÁE½ÃÅÆż¶¾ÙUµ:ÁEµÃÅÆÅÀ¶ÖÒ£Õ»Ãŵ·ÆÅÆÚÀ8×ËÐiÏØfÎbÙJÕµÛ*ÀØ<Ò£ÀÃÅÆŸÆÚÀ*¹HÃÚÀÐiȾϽ8ÎbÕÛÛwØ<µ·ÀÁ<¸ÃŹHÆŶÃÚÀÉ3ȾÀ½¸EÇÛ ã º»½ä£¶Ö¹Ø å áAæ µ æ ÉEç×ËçÔèÕÔËé½ Äsê;ÞE¶s¸EÄs½¾ÞEº¹1É5뺣À¸EÄs¶¾Ù·ÜÂ$ÀÃÅÆfÕ3ì¶sÄÖ¹H½¾ºsÙ ËéÀ Ãź£¶sí¾îµ·ÀïEº£¶sº£ÀÝßEº»ÃÚÀ<Ù ¼\º. Unité de recherche INRIA Rocquencourt Domaine de Voluceau, Rocquencourt, BP 105, 78153 Le Chesnay Cedex (France) Téléphone : +33 1 39 63 55 11 — Télécopie : +33 1 39 63 53 30.
(8)
(9) %
(10) Í.
(11) *+%$%& (' * .
(12)
(13) vw_jdhmT a1aiT _jpiai[`m^\TKcfd¢eRpbcfe3c5hiT«]Rd _j^\fc5pi[NaiPS8T«e3cf]p.p ;hicf] k pbT k T;h.eRpbcfR^\Q SUT;h hiT SU[ k 0dR[\h¥dRcfd^N[\d ;_f[NpbT;h yT a_j^\fc5pi[NaiPS8T5f¤J]R[T<hsa[NdhieR[\p k T$^ _j^\fc5pi[NaiPS8T$m ^\_5hihi[`¤5]T Y0 to ¡oqpbcj§ 5pb_fSUSU_jai[\cfd Y ;¤J]RT k dJab[NT;^N^\T# t]0_ k p_ab[\¤J]RTE¦¾:SUc k [TU^ _f^N5cfk pb[abPRSUT*^\cgm _j^qYJ§sYgvto k ¡oqpbcf5pb_fS8S#_jai[\cfd Y ;¤J]RT dJab[NT;^N^\T Y=T;S8[ dR[\T<¦#T;d ]gai[\^\[\hb_j[\dJa]RdRTKcfdmai[\cfd T e ;d_j^\[\hb_ab[Nc5d¢dRcfd pb[N_j^NT«T a]RdRT pbT;mPT pmPRTt^\[\d ;_f[NpbT ± < ¯
(14) . o¥pic5fp_jSUS#_ai[\cfdh1T;S8[ k dR[\TtdRc5dR^\[Nd <_j[\piT5=eRpic5fp_jSUS#_ab[Nc5d©h <¤5]T dJai[\T ^\^NT5gmcfd=5T pi§ 5T dm TWf^\cf_f^NT.
(15)
(16) !#" %$#"&')("+*, -"%./0/ 1'2. 3. 5464
(17) 7 f98 £R<;:)<5g;: ±>=@?o¥pi[\S#_jpblBAf =y(f C D é#& 9E¥ FÍTmc5dhi[ k T;paiPRTdRc5dR^\[NdRT<_jp eRpbcf5pb_fSUS8[\dReRpic5R^\T S G)M
(18) J GIHJ SUhi]R[Ngdrs[NT;SUma([K aiT c NL G)G+M#M#JUJPTVORQ Q W S dT P5T _jpbaiT [\fMYTWX[h1T;Z SU\%[]#§ Wk N{T0dR[`h([ab_ThicfSUp k cJT cfpaiP.¡aiP]R_jda$m¾[\abh;[Nc5d._ OaPR`cJh1Tt[A_j_jd ^\]Rk T;h(cfd_j^Npbl©Tt[Nhibl=_6SUS8c T ` aipb[\[`mth S#_8_dRabT piJ[`m_T<ab[Nh&5^ TWO hiT k SUT;dR[N§ cjk abTT;hdRai[NPRaiTT S#_jaipb[n¦^ S [\h_ 5T;m¾abcfpWh1SUc=cjabP]dm¾ab[Nc5dÍ [NaiPÍ_j^\]RT;hW[\d Z \ed ^_jd k L [`hwaiPRT#hiSUcJcfaiPÍcfgrsT<m¾ab[N5T ]dm¾ab[Nc5d O(PRThiS8c=cfaiPRdRT<hih(cf_f^N^:abPRT;hiTW]Rdmai[\cfdh [`h hie0T<m[NT k _a T<_fmPhsa_aiT;SUT dJa O(PR[`h eRpbcf^NT;S0T<mc5S8T<h([NdJabT pbT;h1ai[\dRU PRT d aiPTw^\[\dRT;_fp SU_jaipb[n.cfpbS*]R^`_ab[Nc5dgfÅghi? GIj@klZmJ SUh1][NgdRrs[\T;SUma[nK;aiT c NL G)G+M
(19) M#JbJ,TVT o&_pqr@M sRt duwvyx M u _ u OaQ k cJT<h©dRcfa.f[\fTK_ hi_jai[`hs»_5m¾aic5pil SUc k T ^tcfp.m T piab_j[\d eRpbcfR^\T S#h; e_jpiai[`m]^\_fpi^\l aiPc5hiT«pic5S m cfdJaipbcf^ abPRT c5O(piPRlz[`hWfNje|_f{=e0 T;} ph [\hWc5piJ_jdR[K T k _fhtcf^\^\c$h dÍhiT;mai[\cfd #abPRT#cfegab[NS#_f^N[NaslK_jd k mc5dh1aip_j[\d5ahW¤5]0_j^\[R§ m;_ _k ab_j[NeRc5abd_abm[Nc5c5d dk hq[Naicf[\
(20) cf~Jddhtc cfpWd©eRpipbT<cfh1]^^NaT;hS ¡»hiGIT HTJ cf_jppbT*TnReR_jpbSUT;hieRT ^\dJTaiTf\k {=3O(;A PRhÔT8¦ piT<h1T ]pb^Tahwc5dRm ^Ncfl8dJabab_fPR[NTdTc5k egai[\[\dS#ab_jPR^\[[`ashwl#himT;c5mdai[\k cf[NdÍai[\cf_jdpbTh abP_a(3 _jpbT$]k hiT]R^3[\d©cf]Rpmc5d5abTn=a_fpiT k [\hbm]hbhiT k xaiPRT;pm cfk d k[Nai[\cfd0hm;_jd#3T$cf]d k [\dYf RJ} h dY=T<m¾k § ab[N_jc55d pb_fdRfT [`_jd T SU_jd c5k h1aiaipP_TabThicf_fSUd«ToTT;nRd_f_jm^NasaildRT<hi]Rhdpbm¾T;abhi[Nc5]Rd^ahO(_fhbPRh1Tcgm[`p_hsabatT cfdR T[ab[`P*h$abPRT T^\^é§i~=_jdR5cpb_fdRdf[`_j_jd dék ;abPRTTpi$T;]R=5[NT;SU T dJ[Na$aiT aic S#_~fT8cf]RpT n=e3c5hi[Nai[\cfd h1T;^Ô§Ömc5d5a_j[\dRT k O(PRTUT ng_5m¾abdRT;hbhwcjk aiPRT $]fSUT dJaiT k é_j5pb_fdRf[`_jdK_fd k aiPRT SU _j[\dRd«ÍopiT T<d0h1_j]R^N^Nasabl.hf ]R3 d0 m¾;aiV [\cfh d _jd¢pbTYgTT;n=m¾aiabT;[Nc5dd hi[Nc5VÍdh$cfT eabpiPRc5Te0m cJcfh1pbT piT<_ h1e35cf^Nc5d _j[Nd^ UYJ§sm Yg^\_5vthiohi[`m _j¡HY=^éT;SU¤J]R_jT;aiPRdJT;ai[`S#_j^\_^Nl ai[`m Y=_fT;^éSUeR[pbk cfT 5pbdR_fS8[NaiT § o¥pic5fp_jSUSU[Nk dR=¦¥_fd k eRpbc³ fTw[ah$mkc5dJ5T pbfT;dmT O(PRTm cfd=fT;pi5T dm Tcf_U^\cgm _j^éY=§ÖYgvto _j^\fc5pi[NaiPSP_fh 3T T;deRpic5T Jl9_jpbT;h; c5^N^_fd $em~_fpi[`_jdgf }h , ,m@ k k cfO(0P_jpi^\c5^g]Rh1fl=PRSUc5SU]gaTabpiT[`m¥e3T;c5dRhicj[NabaiTq[\f=T(lh1T; S8d [N§ aik PTThidT[aabTcfS#_j_^\^5abpihi[`l=mS8T<h SUj_fT daipbk [\mA=S#l1_jbaidypb[\ m T;aihPRcfT hiT[\aS8cjT;0d_fhi^N[N^Rc5hidl=SU S8=T laipbb[\m¥d e0abcJPRh1T[Nai[\hifTTa k TdR[NaiTWS#_abpi[`mT<h O(PRThiTah@ _jd k @ _jpbT k TdT k h1[\SU[N^`_jpb^Nl Rcfp$_f^N^3abPRT;hiTh1T abh(cjS#_aipb[`mT;h cfT8pU]_h1T85ab[N5PRT TUd aipSU_fm _jTaipbeR[n«pbc _*k ]m¬a G+__ dJW0`'k eT dRT cfai¢T;dh8¡G [N_abh`'®fJ §£abP _jd T;k [N5aiT Pd=T£_j^\]Rpic5T.0[\T;d dR[\d]cfhWdgdR§ß[Ncfd0pbmS¥pbT;_f¤hi_£[\dR¤K¦
(21) § cfp T©k T;¨ p8_fd ¡2k G __ ª J k T dRcfaiT;habPRTS#_abpi[Nn k T dRT k =l _ °¯ T6H²±³-´µ>G/G ¬ x J W&¶¶¶nW;G ¬ d J J-H p ¶ ¡s<¦ ËË ¸ ·m¸¹ÏÌ.
(22) V.
(23) . F P T pbT G ¬ J T ! QmW ¬#"¥_jd k H [`h:aiPRT¥SU_jaipb[nw[NdwabPRT¥hie0T<m¾aip_j^ k T;m cfSUe0cJh1[Nai[\cfd%_ TVH ±³-´µ>G ¬ x W&¶¶n¶W ¬ d J-Hp a$[`h($ T;_5h1l©aic#h1T;TwaiP_ja_ [\h(abPRTcfpiaiPcffG&c5% J d_j^3eRpbcjrsT<m¾ai[\cfdcjb_ cfdYbd [\fT;d_8S#_abpi[Nn=§H_f^N]RT k ]Rd0m¾ai[\cfd N TW [\^N^]0h1TwaiPTdRcja_ai[\cfd ' N G+)M ( J,T+G * N G)M M u ( J J u] vyx T +G * N MG+M x ( J W&¶¶n¶,W * N M G+M ( J J p * * * ] c5p [ah k [Nª3T;piT;dJai[`_j^·cfe3T p_abcfp(T _f^N]_jaiT k _ja M ( O(PR[\h(dcjab_jai[\cfdmc5S8T<hpic5S aiPTW»_fm¾a abP_a ] ' N G+)M ( .J - T / uvyx - u * N G)M 0M u (J 1 - X[Z \ ] ¶ ¡£f¦ * _ k [\drscf_j[\^\dJ^\lfa Jcf[3e32T p_Taic5Gp2 2 x W;( ¶n¶ab¶WPR2 Tw] J-cfp pbS*[\h]R_^`_ ^\[NdT;_jpcfe3T p_abcfpApbcfS Z \ ] aic d =_fh ' N G+)M ( J =T$P_E5T cfpaiPRT 2 (54 T G)¢¡G 2 x 4 JW&¶¶n¶W¢¡G 2 ] 4 JJ p 1 4 X d ¶ ¡3 ¦ <; =# > 6 7 .;% 8:9 *& *. daiP[\hqhiT;mai[\cfd8T h1ab_jaiTphsa¥_fd k hiT;m cfd k §Hc5p k T;pc5egai[\S#j_j^\[aslZ \ m]@cfd ? k [ab[Nc5d? hZ \cfAp BGIHJZ \ _jd k8k [`him ]hbhaiPRG+HT;[NpJ [\SUeR^\[\m;_ai[\cfd0h Oc*abPR[\hT;d k Rmc5dhi[ k T;p¥abPRTé_ffp_jdR5[\_fd ¯ d cjeRpic5R^\T S k TdRT k Jl j¢G+MyW 4 W ¬ J,T L G)M#J s ¢¡G 4 N G+M#J/J s°¬ p S G+M#J¶ ¡VJ¦ C D F E «G EIHJ#EaG K¢mF L N M OQP#U H -mU O(PT*¬ g 5 R ¯b¬ 3R =éT¯ S 5 U 4 d(eT;mX T<hihb_jpbl©c5k egai[\S#(_jT ^\[asG l ( mx cfW;d ¶n¶k ¶W[ab[N(c5dJ-h p«c5X[pZ \ _UA T<_fhi[NR^\Te3cf[\dJa )M ( cj G+HJ _fpiTwf[\fT;d=l#abPRTTng[`hsabT dm Tcj d _fd ¬ ¬ ¬ A hi]mPaiP_ja L G))M (J Zs ' N G+)M ( J ( 4 ( s / vyA x ¬ ( S G)0M (J T Q WG VXVzeJ Y ¢¡G 4 Y ( N G+M ( 4 JJ T QQm¶ (\[ O(PTwe0_j[\p G ¢4 ¡(GW 4 ¬ (( J [\G)h 0M m;(_jJ/J,^\^NTT6k Q aiPRT WG VXVY%J §ßS*]R^Nai[\eR^\[NT;p(_5hihicgm[`_abT k [NaiP 0M ( O(PTWm cfSUeR^\T SUT dJa_jpb[asl m cfd k [ab[Nc5d N P0_fhaiPTWcf^\^Nc [\dR8]h1T ]R^T<¤5][N_j^\T dJa(cfpbS#h&? ¬ G 4 ( J,T6Q c5p ¬ G N G)M ( JJbTQmW 1 ® ]X ,^W&¶¶n¶W _ " W ¡+{f¦ c5p 4 ( N G)M ( JbTQm¶ ¡»}5¦.
(24)
(25)
(26) #
(27)
(28) 3
(29) . {. cfaiPcfpbSUh _fpiTWT<_fhi[N^\l#cfga_j[\dRT k pbcfS abPRT I/ "
(30) / ">! #"#" %$ ? ¢¡G _ `'J'& / dvx ¬ G _ J ¬ GI`'JW ¡H~j¦ PT kpbTaiPTT<¤5]0_j^\[aslPRc5^ k ht[N_jd k cfdR^\l[aiPRT;piT[\hW_.SU_jaipb[n«o h1]mPaiP_ja H x _ H _jd k H x `1H _fpiT y[`c5_jd 5k cf[Ndai[\_fcf^d{¡£h1¡+T;{5Tf¦#g_jc5^\p^\cT$nRh#_jSU]h#eR^\abTfc
(31) fÅkj T hÔ¦ dRT«abPRT I( )|n"&£"& - !$* #( I) [\d G VXVzeJ _fh c5^N^\c$h ¬ G 4 (J,T6Q [NA_jd k cfdR^\l©[N ¬ G N G)0M ( JJ+aQmW 1 ® ]X ,^W&¶¶n¶W _ " ¶ ¡)}5¦ th$[`h T;^N^N§i~Jdc d=aiPRT G VXVzeJ mc5d k [Nai[\cfdh$_fpiTWdRcfat_Umc5dh1T<¤J]RT dm TcjaiPRT*cfegab[NS#_j^\[Nasl.cj M)( _]0fdh1T-k , aicUT d.hi&]R pb0T/ abPR0[`h 1mIcf/d0 h1T<>¤5']" T d m !Tf *'=0 TW+)S2]hs a$|hi]R( eRIe3) c5 hiTfN<_j} d.h T n=aip_8m cfd k [ab[Nc5d d.abPR[\h(e0_je3T p<gTW [\^N^ Q£X[³43057698 N S G)G)0M 0M ( (J;J : s 8 ' N S G)G))M )M ( ( J*J : Z \ ] c 8 Q@d " :=< W ¡)A5¦ PT pbT ³!30351> k T;dRcjabT;h#abPRT«abcfe3cf^\cff[`m _f^ [NdJabT pb[Nc5Yp©cjWaiPT hiTak > k [NpbT;k mamc5dh1T<¤J]RT dm T«cj f\fj yP0_jegabT p gepic5e < h·[`haiPRTT<¤J]R[N_f^NT;dmT3TasT T;d m cfd [Nai[\cfd ¡)AJ¦(_jd S G)0M (J " _jpbTW^N[\dRT;_fpi^\l#[\d k T e3T d k T dJabh;_fd k ¡s< f_J¦ Y ?± @ XZ \ ] h a 6 _jY d S k G+M N ( ( J ±£G @ ±@ T6JAaQ QmW ¡s< j0¦ aPm T _jpbdUT,N3T$( h1¯ PZ \c ] dB abP _ad ]R[\dhk aiPRT;pTq^\¡)[\AJdR¦T;ai_fPRpT$_CB#hiTadRTcj]G dVXm¾abVz[Nc5ed J k éT0_ffdRpT _jk dR=5l%TNS(]RG ^-ab[NJ e^N¯ T[\T pN hA[`G)hqM dR( Jc5s dRT t SUuw] egvyasx l8- _juEdDEFHk DEGJIE_jICN ^`KMhiL c 3cf]d k T k f\ 3 h Z \ ] B Z \ A ? #§ k k k TFÍdRT Tk Jl[\^\^_f^\hicmc5dhi[ T;p*abPRTOp_jdhifT;pbhb_j^\[asl ycfd [Nai[\cfdy?UaiPRT]Rdmai[\cfdPO ¯ O G+±J ¯ T GG S G+M)( J-±J p WRQ p /uwvy] x ± u * N G)M )M u ( J QgJ p ¡1f<¦ Y * [`h hi]Rp»rsT<m¾ab[N5T F PRT pbT Q TTS U x ¶n¶¶ U §WV ¡1<f¦ [`hVZaiPRXT ¡ S#_G)ab0M pi[N(n J T PRQc5hiTm cf^\]RSUdh U k u _fpiT _jd c5p1abPRcfdcfpbSU_f^¥_5h1[`khcj VYk X¡ N G)0M (J F ThiTa Q TQ [N k N " O(PR[`hmc5d [Nai[\cfd P_fhWc5pi[\f[\d_j^\^\l 3T T;d TdRT [\d aiPRT#mc5dJaiTn=acjh1SUc=cjabP S#_fdR[c5^ hf A hq_jd k [NSUeR^\[NT<htaiPRTUz cf[NdhicfdWG VX htVzmcfed0J hsabpb_f[NdJat¤J]_f^N[N0m _jai[\cfdm cfd k [ab[Nc5d ¡s< 5¦·k SUcfpbT c5T p< 3¡1fTEf¦¥T;5pi]l©_jh1pai_jpbdJcfabdT T;=h¥0aiPT<m T_f]R]dRh1T[`¤5[N]a T dRcfT<phimhT<h cj3Zai\2PT ] s ¡G+¡ s §ßS*^ JR]R^`^Nai_ [\geR ^\[NT;PRp T H[pbT ¡dRTVcfpiai±]R³ d_jS aiVZT;^NX;l5¡ gN aiPRG+[`M h ( mJ c5V d [Nai[\cfdm _fd.
(32) }.
(33) . aw[\h$m ^NT<_jp abP_aaiPRT8Oép_jdhifT;pbhb_j^\[Naslycfd k [Nai[\cfd ¡1f<¦ [\hdRcja5T pb[0T k PRT dabPRTS#_abpi[Nn[N G))M ( J 0P _fh_ R^\c=m ~J§Öh1]RS#_aipb[Nnhsabpi]mai]RpbT d k T T k é[\dabPR[\h*m _fhiT8aiPRT#S]R^Nai[\eR^N[\T p 4 ( [`hWdRcja]RdR[`¤J]RT©_jd k ab[NWPRT pbT«Tc5_fpihbT©hi]RaiSUPRT.T.aiabpPR_j[\dh.himfcfT;d pbhbk _j[^\ab[[Nasc5l d mcfc5d p#k T;[ab_5[Nmc5P d hik ]Rc=RT;S#h_dRabcjpia8[Nn PRcfcj^ k N G+O(M P( J [\haieRPpb_jcfa©R^\[\T h;S aim PR_fT«d hi]R0p»T rsT<T;m¾_5abh1[N=[\^N[NlÍasl _Efcjc5w[ k aiPRT k T m;]_fdhiTWm¾ab [Nc5PRd T pbO T_5N hihiG)Mcgm( [`J _[\abhT k _U cfdR[NaiT P§HRT<^\_fcgmm P~©h1S#]R_abSUpi[N_jn aipb[«n c5piT cfp$k T hiab[NSU_j[\eR^`h$^\[\_jm [3ascfl]gcja abdRPRcjTa_abpbai_f[\cfdd h15T pThi_fcf^NdR[Nas^\l.l©mmc5c5dd hik [ [Nk aiT;[\cfp(daiPR[\d T abPRThiT SU[ k TdR[NaiTepic5fp_jSUSU[NdR8mc5d5abTn=a$m _fd3Th1T;T d[\dgf\;A h_jd k aiPTpiT T pbT dm T;h [abPR[\d C C JP#U H EIHJ#E6 QP
(34) Jy@ P#U HU d abPR[\hth1T<m¾ab[Nc5dT[NdJabpic k ]m TcfdR^\l©abPRThiT;mc5d k §ßcfp k T p hi] B©m[\T dJamc5d k [Nai[\cfdh aiP_ja [N^\^3T]hiT k [\d ab_fPRd [`k h¥eN _fe0_fT;piTwp_5as h¥[`mTT ^\^:k [N_fª3hT;pipiT<T;h1dJ]Rai^N[`ab_jh¥Rai^\TP0__a(a [NM)d=(fc5^N5T aip_jd0h15T phi_f^N[Nasl*mc5d k [Nai[\cfd¡1fE¦ F TW_fhbhi]RSUT$aiP0_aPL S ` °Z \ed T k T dRT $ [\fT;d_UhiTa
(35) d G+`'J ¯ T k X d ¯ p k &aQmW 1 X` " ¶ ¡1 3 ¦ )M ( ±¥± ;:»;: ±|= GIHJ J m"'"Ji"& "'W G 4)"&( W ¬ ( J@#X ( I)d 6? -Z ²\ A &Mi. 6 m "[ JG+M)(n W -4 " ( («W ¬ #)#( J + & +J %*@$«" G VXVze J )| |/( n"& ± p ªIEI j¢G+)M (W 4 ( W ¬ ( J-± RQ W ¡1 VJ¦ Y | "/ "M&i ± X >'G)M ( J "! m"&/" >'G)M0(JbT ± X9Z \ ] ¯ /uwvy] x ± u * N G)M M u ( J X d G VZX¡ N G+M)( JJW S G+M)( J-±£T6Q |( L G)M)(J p ±1TQ " Y Y * ¡1{f¦ J 0|"'-&+( ( 0"#&I) 1U')|/" G+HJ ") > 0M ( ±±$#% Y=T;T#cfpT nR_jSUeR^\T fN~JAO(PRT c5piT;S h¥_fd k dRcfaiTUaiP0_a ' &)( G N G)M ( J/JT d WG VYX¡ N G)M ( J/J * + g U -, |(+) ¡1 V=¦ z ", , / |"M "WM& W$ %1- " Y ")|0&n" G+jklZJ . "1 . `$ em " ªI I j TQ/ >'G)M ( J1T 0 Q " 0|(+) ¡1 V=¦ |" "& mn( 32 JJ0"M C&" |( I) ¡s;VJ¦ (Y ;" e# 1)("& "2" "IW$ @d 42 J1 5|( )|/" . % " I6 7 IGI)H %J ". /"1 5Cm "'W . 29 C9 8;©: =$$ <>7i@$ ?D%AB. [£E 5"e" #"&1"I&)" "W "! " . >CW 1)("& m"e# |" )|/n"& . > FIG))M (W 4 (&J PR[`mP¢m cfdhi[ k T ph8aiPRT G k k é T . a ] h T d « T R d c. Í _ ` ^ j _ b p f ; T © p m f c d. T f c W . m i p N [ i a ` [. m f _ ^ \ [ i p < T ¾ m b a N [ 5 c d h 4 GWVXVzeJ §ßS*]R^Nai[\eR^\[NT;p ( _fhbhic=m [\_jaiT k [NaiP aiPRTS#_jaipb[n.[\dRT<¤5]0_j^\[aslBN G)M#JO°Q _fhcf^\^\c$h&? > F G+M)(W 4 (;J ¯ T ± X[Z \ ] ¯ /uwvy] x ± u * N G)M )M u ( J X d G VZX;¡ N G)M0( JJ W * ¡1;}5¦ ] ) G M 0 ( J N 4 u / Z ( VYX¡H%¡ uwvyx ± * M u _jd k S G+M ( J-±'TVQ " W *. Y.
(36)
(37)
(38) #
(39)
(40) 3
(41) . ~. Q PT pbT H%¡ [`h(aiPRTc5p1abPRcf5cfd_f^:eRpicfrsT;mai[\cfd.[\d Z \ d cfT;p VYX¡ N G+)M ( J ³ cjabTWaiP_ja H%¡T Q Qzp [NaiP k T dRT k [\d ¡s<5¦ O(PRTdTn=a$eRpbcfe3c5hi[ab[Nc5d.pbT ^`_aiT<h(0cfaiP«mc5dRT;hcfm pi[Nai[`4 m _f^ k [NpbT;mai[\cfdh _fd k aiPRTW]Rd0m¾ai[\cfd O ± ¥± ;:»;: ±| = "& M ( " & +)« G+HJ #( G ( W ¬ ( J G V_VYeJ 7- + )#!)" " 7 )(" &£ ",M I) O ("+*,#"0( ¡s5<¦ |( " #"W &+( ( /"M&+)1("+*,#"0(B " 2 " VYX¡ O >'G)M ( J > F G)M ( W 4 ( J W ¡1E~j¦ . Y"M" !!$ . m"& " +(&0 )#n"&£"& - !$ #( I) ¡)}J¦ mn( ±$± #%[\pbh1a;gdcjaiTWabP_a$Tm _fd pb[abT#¡»}5¦[\d aiPRTT<¤J]R[N_f^NT;d5a(c5piS 4 (¢T Q 0( Q p W ¡1;}5¦ [NaiP 0( X ,§ _jd k ¡²T ±³ G) )M (VYJ-pX± ¡ T N G)Q )M ( J O(PRT déAaicÍeRpbcfT#abPRT pbh1aU[Ndm ^N]0h1[\cfd [\dWG VX¡sVYE~f%¦¥J [NaU[\k h O(PR[`hmc5SUT;htpic5SaiPRT8ph1aWT<¤J]_ab[Nc5d[\d _jd abhiPR] B©TT;m¤J[\T ]dJ_faw^N[Naiasc«l hiPRc¨aiP0_a Y L ¡2G 4 ( /uv] x ± u * N MG))M u ( J JbT6¢¡G ( Q p /uv] x ± u * N G+M )M u ( J Q J ¶ ¡1;A5¦ * * cfpabPRT.hiT;mc5d k [Nd0m^\]h1[\cfdéé[N ±«X >'G+)M ( J aiPT d L G)0M (J p ±gT Q _jd k S G)0M (u JDE±gFHT GI KMQ L _fd k T c5gab_f[Nd pic5S ¡sA5¦_fd k abPRT phsaUT;¤J]_jai[\cfd [\d WG VXVzY eJ abP_a ¢¡G 0( QYp t Y ]uvx ± DEIEN Q J'T Qm¶ Yg[Ndm T t k ]uwvyk x ± u DEF D GJIEI N K L X d G VZX¡ N G+)M ( JJ TUhiT TabP_a Q p t ]uwvyx ± u DEF D GJIEI N K L Q X § _jd k ]hi[NdR ¡ß~j¦RT T ]m TtpbcfS aiPRT^`_fh1a T;¤J]_f^N[Nasl#aiP0_a Q p /uwvy] x ± u * N MG)M u ( J Q ( TQmW ¡Hj 5¦ * P[\mP [\h$T;¤J]R[\E_f^NT;dJaabc H%¡ /uv] x ± u * N MG)M u ( J 4 (¢TQ Q p /uwvy] x ± u * N G)M M u ( J Q 0( Q p TQmW ¡Hg<¦ * * _fd k *T[\d mc5_ dkRmk ^\[N] aik[\cfTWd abP_T a ±B_5hiXhi]RG> SUFITKG)M ab( PRW T 4 ( h1Jaipb[`m¾a«mcfSUeR^\T SUT;d5a_jpb[asl¢mc5d k [Nai[\cfd ¡+}5¦$T P_EfTaiP_ja ( [`h#dRc5dhi[NdR5G> ]RF+^`G+_jM p<(W _j4 d ( k J pbcfVYS X¡ aiPRT«T<¤5][N_j^\T d0mT«3TasT T d ¡£R<¦U_fd k ¡£j J¦T k T k ]m TaiPRTKm cfd=fT;pbhiT [\dm ^N]hi[\k cf[\d pbT;m¾am cfdhiT;¤J]RT;dmTwcjOeRpbcfe3c5hi[ab[Nc5dW[`h(aiPRTWc5^N^\c [\dR8hi] B©m[\T dJam cfd k [Nai[\cfdy? + ± ¥± ;:»;: ±| = |(" m" $#)m "W&" [ )|/M)mC I) ? . >'G+)M ( J 0"4)#n " ( $ G> F)G+)M (W 4 (;J m") M)( J gJn -" ( 1> GIHJ O(m cfPd=[\fh$T;hipi] 5B©T dmm [\TT dJpbatT;him ]Rcf^Nd a(k cf[ab[Nabc5PRd T*[`h$YJ§scfYgvtm o¢cf]R_fp^Nhi5Tcfhspbab[abpiPRc5SdRfT;¡»O(pabPPRT T cfd pbT S" ¡1 V=f¦ <¦ O(PR[\hmcfd k [ab[Nc5d«[\h$]h1T k [NdabPRT^\cgm _j^.
(42) }.
(43) . E¥ ) !8 [Eq ¨m cf]Re? ^NT G)M0B (WFZ - \ (J [NdaiPT? eR pic k ]0m¾ahiTa ? [`h$hi_f[ k aicU3T_ & ((n"7 ) > cjaiPRTw]Rd0m¾ai[\cfd cfd [N. ¯. G)M0(WF- J& G+M)(WF- (J& G+MyW&- ( J W 1 MX W 1 - X ¶ FÍThi_ElUabP_a$_*]Rdm¾ab[Nc5d
(44) Z \ ] B Z \ [`h _jd " &0) "# !!$M &+) [Nd_^Ncgm _f^:S8[\dR[\S*]RS M)( cf GIHJ R[N M)( [`h _8^Ncgm _f^·SU[NdR[\S*]¯ Scf aic=c. G+HJ k k k k 1h ab_jaiTWd dRaiT<PRm[`T;h#hbhbhi_jT;pbm¾l©ab[Nc5_jd d k hiT ] B©h1aim] [\T dJl am[Nc5ª3d T;k piT;[NaidJk [\aUcfde3hT d0c5_jp ^NasTl nR_fm]RaiddRm¾T<ab3 hi[Nc5h dh#¨_ffhbT;hidRc=T m p[\_j_jai^·T _jeeR pi[cJabP_fmP.epic5cfRp(^NT;aiPS Thsab] k l._jd cf T nR_fm¾a e3T d_f^asl©]Rdm¾ab[Nc5dh$m;_jd 0TWc5]Rd [Nd²f VR0Y=T<m¾ab[Nc5d V h J Emb U D P|mU JgU Jgb,J éS Taw]hm M cfdhi[ k T p$abPRXT*e0Z \ _jpiA"ai! [`]m]R^`_jpwk m S_fhiTX²cf Z \ G+AHJ PZ T \ d ] S B ¯ Z \Z \ ] B¥Z \ A [\hw_jdk _`B#dRGF%!TJ ]Rdmai[\cfd S G+M#JPT _jd r yL ¯ [`htm cfd=fT nK_jd N [`hwmcfd=5Tn«[NdaiPRT r s g [Nai
(45) P hiT d0h1TWcjh1T;SU[ k T dR[NaiTc5p k T;p;=abP_a [`h N G(5-M s FG ^ c 5/.J - J@O 5 N G)M
(46) J s FG ^ c 5/J N G - J W 1 5@X;S Q W ^ V W 1 My&W - X9Z \ ] ¶ FS]R[Nai^NaiP [\eRai^NP[\T T;phih T8G _54 hi(hiW]R¬ SU(egJ ai_5[\hicfhid0cgh m [`_G+aiHT Jk [\[^Nab^P3aiT PTk hiT cfdR^\cf]gaiaiT [\kcfd =0M l ( GIcjH #G+$HJ #U¡ J j [a m " 9_fd)|00T&h1nP" c ¦ daiRPc5_jpaéababPRPRT TqG]RV_d0VYm¾aie[\cfJ d § jGF%W 4 ( W ¬ ( J k TdT k [Nd ¡V=¦¾¥[`h#_jd T4 nR_fma8e3T d0_j^Nasl ]Rdmai[\cfd cfp G+H$#@J O(PR[`hU[\hU_fd [\SUS8T k [`_aiT Zm \ cfd] hiT;? ¤J]RbT;d dm? TZcj\ tA aiPR¡£T h1T;Tf»_f mac5p©abPT_nRa _jSUG+)M eR(^\W Tf( fÅW f¬ g( J ai[\PRhUT;cf_ÍpbT hiS_ kRk V ^\T §ße03 c5h¦ [NdJaUcjcabPRT 5TT p<é_j5[Napb_f[`dRh f~=[`_jdRd c ]d¢dabm¾Pab[N_c5ad aic5PRd T pbT;_j_55h1pbc5_fd dRfcj[`ab_jG+PRHd¢T Jp8[`h.e0T;dRdc _j^N^\ascflÍdR5]RT pdm_faid[\cfdThUnR_5_jm¾pbaT.e0[\dJT;aidpb_jc ^Nkasl ]mT ]Rk dm¾ababc[Nc5cfd Rab[\_jd [\d abPRT T nR_fdm¾cfabddRm T;cfhbhd=fpbT T;n¢hi]Rm;^Nab_fh*hiTfcf$p8 cfPR]R[`mp8P fT;[`hdRT aipPR_jT ^ epic5R^NT;S C J% & L Jy@ J H'$ GEmb Ub FÍT k T dRTWaiPTW_f]RfSUT;d5abT k é_ffp_jdR5[\_fd#]Rdmai[\cfd )j ( _fhbh1cgm[`_abT k [abP epic5R^NT;S G+HJ _fh j ( G+MyW 4 W ¬ JUT L G)M
(47) J s ¬ p S G+M#J s *_ ¤ S G)M
(48) J ¤ ª s ¢¡G 4 S N G)M
(49) J s G c * x 4 c²N G)M
(50) JJ V J s *_ ¤N G)M
(51) J s G c * x 4 c N G)M#J/J ¤ ª¦
(52) § W ¡Hff¦ /P T 2pbT ) * Q [`haiPT.e3T d_f^asl e_fpb_fS8T aiT;p dVf\;} hß j ( [`h*m;_j^\^NT k aiPRT )|/ £ P ` ">i" ( 7 G)M0(W 4 (W ¬ (;J [`h$_fdJl.e0c5[NdJa$hi_jai[`hsl=[\dR G 4 V_VYeJ 5pbcfS¡»}J¦¥[Nam _fd0ThiPRc d©abP_a j ( G+)M (W ( W ¬ ( JbT L G))M (J ¶ 3¦ H ¡ daiPRTdRTn=aabPRT c5piT;STepic5TaiP_ja j ( &G %nW 4 (W ¬ ( J [`ht_fdKTnR_fmate3T d_f^asl ]Rd0m¾ai[\cfd PRT d * [\h hi] B©m[\T dJab^Nl©^`_jpbfT.
(53)
(54)
(55) #
(56)
(57) 3
(58) . A. " @ C#W "@ L S |( N /" . ( "P( "/"& I) &n"¢ M)( #( G)M0(W 4 (W ¬ (;J = ± & +J *@" G VXVzeJ #( I) 1 |(% m" &"M0|(7 /("W )"& H0|(+) 4 ¡1 V=¦ 2 " "0" /" # " j) m( / m;( ? 2 G M)? ( Z \ A2|J( /" / " * @ "a Q W.0[ m * \ * @ bG)M)(W ( W ¬ ( J J & ((n"7 ) > 2 d j ( G+MyW 4 ( W ¬ ( J aj ( G)M0(W 4 (W ¬ (J'\°j ( G+M)(W 4 W ¬ J W G)MyW 4 W ¬ JPX 2 ? d ? Z \ A . M Ta0 0M ( ±$± #%(Yg[Ndm TWaiPRTc5e0T;pb_jaic5p &G % J k T dRT k [\d ¡s<¦g[\h aiPRTeRpbcjrsT<m¾ab[Nc5d.cfdzbd gTP_EfTtaiP_ja ¤ G c * x 4 c N G+M#J/J c G c * x 4 c²N G)M
(59) JJ ¤ ª¦
(60) § & ¤ c G c * x 4 c N G)M#J/J ¤ ª¦
(61) § ¡HVJ¦ c5p$_j^\^ X bd _jd k abPRT d *_ ¤ G c * x 4 c²N G)M
(62) JJ s«N G+M#J ¤ ª¦
(63) § s ¢¡G 4 S!G c * x 4 c N G+M#J/J s N G)M
(64) J V J &R¢¡G 4 S s N G)M
(65) J V J s *_ ¤ s«N G+M#J ¤ ª¦
(66) § W ¡H{f¦ c5p$_j^\^ X bd O_~=[NdR M[T6M ( _jd k T c¢N G+M ( J ¡ PR[`mP0T;^Nc5dR5habc ,d ¦RT5Ta *_ ¤ G c * x 4 c²N G+M ( JJ s N G+M ( J ¤ ª¦
(67) § s ¡2G 4 S G c * x 4 c N G+M ( JJ s«N G+M ( J V J'&aQmW PT dm T )j (|G+M ( W 4 W J'& G)M ( JbT)j (|G)M ( W 4 ( W ( JW 4 X W X[Z \ AmW RQ ¶ ¬ L ¬ 1 d 1¬ 1 éTa]h$eRpic5TWdRc G+M#abPR1J T* hiT;mG+c5)M d (k J [NdRT<¤J]_j^\[asl éTa ` @ G)M0(J M 3T*X _# ` m ^NG)cJ0M h1(T J k 0M _jT 0^\^ 0M *([abP«mT dJabT p M0( _jd k p_ k [N] h #h1]mPKaiP_jaL L c5pw_f^N^T;_5h1[\R^\T*e3cf[\dJabh @ F T8eRpbcfTabP_a c5G+p)M _j(^\J ^ * 6Q hi] B©m[\T dJab^Nl^\_fpi5k Tf 0M ( [`h aiPT]RdR[`¤J]RTe3cf[\d5awhi_jai[`hsl=[\dR
(68) I GJI K L j ( G+MyW 4 (W ¬ (;J@T L cfp(aiP[\h e]Rpie3c5hiTfgT T0dRTWaiPRTepic5R^NT;S? O ( ¯ T !#"$&'
(69) % K "(*) L G)M
(70) J s ¢¡G 4 ( J s°¬ p( S G+M#J s *_ G ¤ S G)M#J ¤ ª sl¤ ¤ ª¦
(71) § J " W ¡Hj}5¦ + ,".- * _fd k pic5S[NdT;¤J]_j^\[NaslÍ¡H{f¦Tm _jd k T k ]mTWabP_a O ( T I
(72) GJI K L )j (|G)MW 4 ( W ¬ ( J ¶ ¡H5~j¦ k T5fThiPRc abP_a G))M (W0QmW 4 ( W0Q2J [`h¥_e3cf[\dJaqaiP0_ahb_ab[\h1T;hAaiPR T /_fpi]0h1Pg0§ /W]RPRdR§ßO]m ~fT;p O * c m 5 c d m \ ^ ] _fd k aiPRTh1T<mc5d k §ßcfp k T p·hi] B©m[\T dJamc5d k [Nai[\cfdh·cfp·abPRT¥c5egai[\SU[nK<_ai[\cfdWeRpbcf^NT;S ¡£f}5¦ O(PRTU_j5pb_fdRf[`_jd _5hihicgm[`_abT k [NaiPSU[\dR[NSU[K;_jai[\cfdeRpbcfR^\T S"¡Hj}J¦¥[`h j1 G+MyW 3W 2e3W 4J ¯ T L G)M#J s ¢¡G 4 ( J s ¬ p( S G+M#J s *_ ¤ S G)M
(73) J ¤ ª s *_ 5¤ ¤ ª¦
(74) § s 4 _ G ¤ M c )M ( ¤ ª 6c ª J s ¢¡7G 2eG N G+M#J 8c JJW ¡H}5¦ S R.
(75) < .
(76) . _fd k aiPRT GWVXVY%J m cfd k [Nai[\cfd0h _jpbT L G)M
(77) J s S G)M
(78) J-p ¬ ( s * S G)M
(79) J-p S G)M#J s 4@G)M c M)( J sZ4 ' ( N G+M#J ( 2aT T2 Q s Y Y Y G ¤ M c M)( ¤ ª c * ª JbTQ ¢ª ¡G 2eG N G)M
(80) J c8 JJbTQ 4;\RQ W 2 [ Q ¤ M c G+M#)M J ( ¤@c Oa&aQmQ ¶ N 8c am;_jd 0TT<_fhi[N^\l.j 1hiT T daiP0_a G)MW W 2e,W 4bJ,T G)M ( W0QmW 4 G+My( WW0Q2J J hb_ai[`h1G)M T;( h(W0Qm_j^\W ^·4 ab( PRW0T;Q2hiJ Tmcfd k [ab[Nc5dh O(PRT T;hbh1[`_jd cj [abPpiT<h1e3T;maabc8aiPRT_jpb[`_jR^\T;h _ja [`h(f[\fT d =l A .
(81) . ª ) G )M (J s / ¬ ( ª S G)0M (J L s . y v x . Y Y . Q W ¡HA5¦ ªGJI L j¢1 G)M0(W/QmW 4 ( W/Q2JT s / A S G)0M ( J ª S G)0M (;J s S G))M ( J p S G))M ( J Y * vyx *Y Y Y Q Z* d [NaiP ¯ T S ¢¡G 4 ( D DE I F N DGJICIKM L J V u _jd k aiPTmcfdTwcfm pi[Nai[`m _f^ k [\piT<m¾ai[\cfd0h¥c5p eRpbcfR^\T S"¡Hj}J¦[\h >'1 G))M (W0Q2JbT 2G+±>W J@XyZ \ ] ? d¯ L G)0M (J p ± s ¢¡G 4 (J s°¬ p( S G)0M ( J-±'TQmW Y Y / ] ± u * N G+M)u ( J c X G VZX¡ N G+)M ( JJ " ¶ d uvx * M d P_ja(cf^\^Nc$h(TW [N^\^éh1ab_abTwaiPRThiT;m cfd k §ßcfp k T;phi] B©m[\T dJamc5d k [Nai[\cfd GI± p W J ª j¢1 G+M ( W/Q W 4 ( W/QJ8 ± : RQ W Y 1 c5p$_jd=l©dRc5dmK T;pic8fT<m¾abcfp G+±>W J@X >'G+)M (W/QJ O(PR[`h mc5d k [Nai[\cfd«m _fd3T pi[Na1abT d_fh ± p ª L G)M ( J± s / vA x ¬ ( ± p ª S G)M ( J-± s ± p ± s * ¤ S G)M ( J-± ¤ ª s * ¤ ¤ ª¦
(82) § RQ W ¡ 3 5¦ Y Y Y c5p$_jd=l©dRc5dmK T;pic8fT<m¾abcfp G+±>W J@X >'1 G+M ( W/QJ.
(83)
(84)
(85) #
(86)
(87) 3
(88) . 5. ± T Q T0 Q GI± W JX '> 1 G+M)O((PRW/QT8J m _5h1[abTP« ¤ P T d ¤¦q§ ¤ _j± d ¤k cfp¤ S G)[`M0h$(abJpi± [\¤=[\ _f^ ¤ ± dR¤$cjabcfPRp$T pwhicfT;SU_5h1Twl Rm ng_fT hik T [`ha Q PgT [\d«d k T;TT k ab_~fT Y A/ ± p ª L G+M)( J-± s vyx ¬ ( ± p ª S G)M0( J-± s ± p ± s * G ¤ S G+M)( J-± ¤ ª s ¤ ¤ ª¦
(89) § J Y Y Y A R± p ª L G)M ( J-± s / ¬ ( ± p ª S G)M ( J± s ± p ± s ª ¤ ± ¤ ª * vyx Y Y \ c1¤ ª L G))M ( J s / vA x ¬ ( ª S G)M0( J s ¤¤ ± ¤ ª s * ª ¤ ± ¤ ª W Y Y x _fd k ¡ 3 J¦[\h 5T pb[0T k Jl©ab_~=[\dR * \ *l Q ¯ T ¤ ª L G)M ( J s t A vyx ¬ ( k ª S G)M ( J s k ²¤ [\d_j^\^Nl«T*hiPRc aiP0_awhi]mP_ _f^N(_Elgh$Tng[`hsah F T8eRpbcgmT T =l«mcfdJabpb_ [\mai[\cfd T at]h hi]ReRe3c5hiTwaiP_ja aiPRT;piTW[`h$_Uh1T<¤J]RT dm T G+± W J "Y[\d >£1 G)0M (W0Q2J hi]mP.abP_a Y ¡ 3 <¦ ¤ ¤¦
(90) § & ^ ¤ ± ¤ W ¤ S G)0M ( J-± ¤ & ^ ¤ ± ¤ ¡ 3 f¦ Y _fd k ± p ª L G)0M (;J ± s / vA x ¬ ( ± p ª S G)0M ( J-± s ± p ± 9&°Q W 1 ¶ ¡ 33 ¦ Y Y T k [\=[ k TU¡ 33 ¦q=l ¤ ± ¤ ª _fd k h1]Ree0cJh1TwaiP0_ a .
(91)
(92) B± g=l#ab_~=[NdR8^\[NSU[Na$[NdaiPR[`h([\dRT;¤J]_f^N[Nasl#T 5Ta ± p ªIEI j¢G+M ( W 4 ( W ¬ ( J ± &RQ W ¡ 3 VJ¦ Y P[\xtmP d SUaiPT;T_jd0cjh aigP=T l.p Pe_fpic5d e0k cJRh1hi[N[Naid[\cfm Td G+f± = aiW P0 _ a J±Z X X ^ >'1 >'G)M G)M ( W0( Q2J J TWP_E5TabP_a U p /uwvy] x ± u * N G+M )M u ( J U &*U p U>W c5p$_j^\^ U X VYX¡ N G+)M ( J _jd k _f^N^ W * _fd k ]h1[\dR8aiPTW»_fm¾a abP_a'¤ ¤&¦
(93) § \
(94) W cfp$_f^N^ U TV0 Q =aicf5TabPRT p [NaiP ¡ 3 <¦Twc5gab_f[Nd U p /uwvy] x ± u * N G+M M u ( J U & ^ ¤ ± ¤¤ U ¤ ª W c5p$_j^\^ U X VYX¡ N G+)M ( J _jd k _f^N^ W * P[\mP [NSUeR^\[\T;h(abP_a / ] ± u * N G)M u ( J X G VZX¡ N G)M ( JJ¶ d uwvyx * M.
(95) E.
(96) . O(PRT¥T;¤J]_j^\[Nasl S G+)M ( J ±£ T6Q cf^\^\c$h k [\piT<m¾ai^\l$pbcfS ¡ 3 f¦:_jd k hi[\dmT L G)M0( J-py±T c ¡2G 4 (J c ¬ p( S G)M ( J± pbcfY S ¡ 3 E¦t_fd k ¡ 3 5¦tTUcfRab_j[\d aiP_ja L G+M ( J-p ±Y T Q Y d aiPR[`h(_El«T#mc5dm^\] k T Y abP_Y a ± X >'G+M ( J R P[\mP«mc5dJaip_ k [`m¾ahw¡ 3 V=¦ + J b< K J¢N M- O P|mU FÍT k TdRT8dRc{_fdRcjabPRT pte0T;d_j^Nasl ]Rdm¾ab[Nc5d _5k hihicgm[`_aiT k [abPKeRpbcfR^\T S GIHJ a: Q PR[`mPk [\^N^0TU_ ~5T l [`hbh1]RTW[\d aiPRT5^Nc5_j^·_j^\fc5pi[NaiPS aiP_ja T [\^N^ T;hbmpb[N3TW[Nd«hiT;m¾ab[Nc5dV Rc5p * T T dRT ( G+M#J,T L G)M
(97) J s * G ¬ x G N G)M#J/J sl¤ S G)M
(98) J ¤ J ¶ ¡ 3 {f¦ 3 O(d Pab[\hPRTW]RpidT<mhsaia$[\cfcfd éaim Pcf[\SUh$hiT;T;hmaipb[\cfcfS d aiPRTWT [\^N^é_fdeRpie3c5T dTw_fhi^cfasl SUTW]ReRdpbmcfaie3[\cfT Fd piG+aiM[N[\dT;/h±SUcjJ _jai PR( T;S#_fd _k ai[`[m a_fh(^TenRpi_fc5mfaipdR_jT<SUhih SU[NdR f ; h dcfp k T pAabc8m cfSUeR]gabT$abPRT k [\pbT;m¾ab[Nc5d_j^ k T;pi[\_ai[\fT ( gTth1ab_fp1a=l8pbT;m;_j^\^N[\dR*_e_jpiai[`m]R^`_jp mP0_j[\dpb]R^\T "& Z \e] B Z \ d " eM &+) ²(/"MI) # U("&6 I6 " F G+M/±J¢T
(99) 5 x G G+M s 5±J c. G+M#¯ JJ #(%n"& ¯ Z \ed B Z \ A "¢. ) 06 M &I) B e|"& m / ;(1
(100) G+rM# J . °( /"M&+)| ¢("6 I6 " FIG G+M#J FiG)M/±JJ 2 m"& m"eM &+) G J m C[ g(/"MI) # ("6 I6 " M z m"'( /"M&+) ± 6 "& $ G J F G+M0±J,T F G G)M
(101) J F G+M/±JJ¶ ¡ 3 }5¦ x G(5/J.
(102) 5 G%5/JbTVQ pb[N±aiTw$± #%'cfp 5 l#R]hiQ [\dR*abPRTW]hi]_j^:dRcfab_ab[Nc5d c5p _]Rd0m¾ai[\cfdfT;pi[Nl=[NdR
(103) r =TWm _fd 5 x S G J G)M s 5±J c G J G)M
(104) J V T 5 xx S G G)M
(105) J s 5 F G+M/±J s G(5/J/J c G JG)x M
(106) J V T 5 S G G)M
(107) J s 5 F G+M/±JJ c G G+M#J/J V s 5 G%5/J W _fd k Tm _fd«mcfd0m^\] k TW=l#ab_~J[\dR8aiPT^N[\SU[a$ PRT;d N5 B Q + k k t w h _ m 5 c d 1 h < T J ¤ R ]. T d. m * T f c q i a R P ` [ w h i p < T 1 h ] ^ w a T f \ [ f * T \ [ K d b a R P 8 T R d T = n W a N ^ ; T 8 S # S © _ i a R P T \ [ i p < T ¾ m i a \ [ f c 0 d j _ ^. T b p N [ j _ i a \ [ f * T cf abPRTe3T d_f^asl#]dm¾ab[Nc5d ( J% P "0 C)n" )m L mS #(GIHN J "¡ 3 {f ¦ ( &"%( m/ C"M%&+ £)( |/ "M#&(+)"&|6 y+6( "&" e6 +6M " m m "e0( z0"#& I" ) 0 )± / .- ""0 " " M ( $ (F G)M/±J,T L F G)M/±J s * G ¬ x G!Q p N F G+M0±JQgJ sl¤ S F G+M/±J ¤ J W . "0" Q J m"£ + [("+*,#" ( ¡s<5¦ ±$± #%éTa M 3T_T;_fhi[\R^NTWe3cf[\dJa RpbcfS ^NT;S8S#_ {RgTWP_E5TtabP_a (F G)M/±J T L F G+M/±J s * G#S ¬ x G N FG %!JJ V F G+M/±J sl¤ S F G+M0±J ¤ J T L F G+M/±J s * G#S ¬ x G&% J V F G N G)M#J N F G+M0±J/J sl¤ S F G)M/±J ¤ J ¶.
(108)
(109)
(110) #
(111)
(112) 3
(113) . 3. cfp¢_ X @d _fd k ` X d gTT;_fhi[\^Nl©mPRT<m ~#aiP0_a S ¬ x &G % J V F G _ /`£J,T 6 Q¬ Fx G _ 0`'J RR[N[N,,¬¬ xx GG __ J'J,T6+°QQ W _fd k !M]hip [\dR M c5piSM ]R^`_ T ¡£ ^ }J¦©[\d fÚ~;hWcfpaiPRT m;_j^`Fxm]RG ^\]/h`£cjJ T aiPT k )[Npb;MT;mp ai[\`cfdM _f^ k T;M pi[\_T ai[\f^ T cj'k ¬ M x p G _ M J TT ¬ x G _ J " _ O(PRT ¯ d:¤ [N@¤ ¬ x G _ J"JAT Q T 3cfgTa_jm [\_fd d«abVY Ppi_X[N¡a aiT£¬ ¬ Fx _ G _ /`£JT ¬ x G%Qzpy`Q J ¯ ¤ [NaiP ¤ Q _#S#_fd _aipb[Nn_ Pc5hiT m cf^\]RFÍSUT©dh mc5_jdpbTm^\]_jd k TUcfpbpiaiT PReRc5^`_fdRm cf[NdRpbS#_j_ ^3=_flzhiTWN cjG) M
(114) J ` _ JlgN FIG)M0±J _fd k piT<m _j^\^\[NdRaiP0_a Q [`hwaiPT#SU_jaipb[n PT d ¬ x G _ J'+RQ + g U L S |( N 0"1( "0">+) n" 'M " (F G)M0±J@T L G)M
(115) J-± s * G ¬ x G%Q p /uwvy] x ± u * N M G)M
(116) u J QgJ sl¤ S G)M
(117) J-± ¤ J ¶ Y Y * d8aiPT(cf^\^Nc [\dRWeRpbcfe3c5hi[ab[Nc5dT(f[\fT _w^NcT p3cf]Rd k c5pAaiPRT e0_jp_jSUTabT p * [\dUcfp k T pabcWcfga_j[\d abPRTTnR_5m¾aidT;hbhcf ( 0M ( J' e"0 C)n" )m G+HJ |( ( m C' Z%I( nE 1> )M ( ± ¥± ;:»;: ±| 0M m( "& )M ( J = ! I( & 'n q1> G+HJ 0 m"&£ /" L \W S #)( ¢N ¡G 4 /"'(;J ( W "( /"& I) &n"' |( "I/ 1 "&M& !!$ #( I) ¡s5<¦ J " *" ( m"& * ¤¬ ¤ " M( ( M( M X ±2$± #%Tw P0_EfTw[`haiP_ _ja^Ncg m (>_f^G+M S8( J'[\dR& [\S* ]R(#S G+M#Jcj0 _j d k hiai[NPRd0T;mpiT TUM [`h( _[\hdT<T _f[\fhiP=[NR0^\c5TWpiPcJTc c5k gab2 _f[Ndcf h1]0mPKaiP0_acfp_f^N^ L G+)M ( JbT ( G+)M ( J & ( G+M#J 1 M X 2 T L G+M#J 1 M X 2 WM T;_5h1[\R^\Tf [`h(P[ [\k mT P dJaiSU[`m T;_f_j^ d0h¥abP_a M ( [`h _*^\cgm _j^·SU[\dR[\S*]RScj GIHJ F PRT;d aiPRTWSU[Nd[NS]RS M ( [\h h1aipb[`m¾a;=abPRTeRpbc=cj ³ c^\Ta]ht_fhbh1]S8TWabP_a%L S _fd k N _jpbT k [Nª3T;piT;d5ab[\_fR^\T*_a M ( _fd k aiP_jaaiPTaip_jdhifT;pbhb_j^\[Nasl m k cfd k [ab[Nc5d PR± c5^ k hk Yg[Ndm T M ( [\h#_ ^\cgm _j^ SU[\dR[\S*]RS cj ( (TP_EfT aiP0_a (F G)M ( 0±J \ Q cfp©_f^N^ [NpbT;mai[\cfdh _fd ]h1[\dRU^\T SUS#_8}UTm _fd pb[abT Q=& L G+)M ( J p ± s * G ¬ x G!Q p /uvy] x ± u * N G+M )M u ( J QgJ s ¤ S G)0M (;J± ¤ J W 1 ±£X9Z \ ] ¶ ¡ 3 ~j¦ Y Y * éTa]h$phsatm cfdhi[ k T p(abPRT*m _5h1T PT d VYX¡ N G)0M (J@T Q " O(P[\h[NSUeR^\[NT<h 4 ( TlQ _fd k Q T Q PT dm TtpbcfS [NdRT<¤J]_j^\[aslÍ¡ 3 ~j¦_jd k aiPTWpbh1a T;¤J]_jai[\cfd [Nd G V_VYeJ JTh1T;TwaiP_ja * \ K GJ I GJKI L KM L cfp _f^N^·dcfdmK;T pbc ±BX9Z \ ] O(PRThi]Rp£rsT;m¾ab[N=[Nasl©cj S G+)M ( J h1Pc$haiP_ja * \ ¤¬ ( ¤ Y.
(118) ;V.
(119) . éTa]0héhi]ReRe3c5hiTqdRcÍaiP_ja VZX;¡ N G)0M ( 1J T 0 Q " RpbcfS aiPRTA0pbh1aéT;¤J]_jai[\cfd[\d G V_VYeJ [\dRT;¤J]_f^N[Nasl ¡ 3 ~f¦_fd k T;¤J]_j^\[Nasl ¡s}5¦RTm;_jd pi[NaiTwcfp$_f^N^ ± X9Z \ ] G* ¤ S G+M ( J-± ¤,s°¬ x G%Q p /uwvy] x ± u * N G)M M u ( J QgJ J \ ¬ p( S G+M ( J-± s ¡2G 4 ( /uv] x ± u * N G+M M u ( J J Y Y * * ] T ¬ p( S G+M)( J-± s ¡2G0( Q p /uwvyx ± u * N G)M M)u ( J QgJ W Y * O(PT dgabPRTWaip_jd0h15T phi_f^N[Nasl8m cfd k [ab[Nc5d ¡£h1]p»rsT<m¾ai[\=[asl.cjHO¦(_j^\^\c$h]0haic©hb_ElUaiP_ja ¡ 3 }5¦ * G ¤ U ¤bs°¬ x G J J\ ¬ p( U s ¢¡G ( J W c5p$_j^\^ G(U|W JX[Z \ A ? #§jR_fd k Tm;_jdmcfd0m^\] k Twpic5SabPRT[NdT;¤J]_j^\[Nasl ¤ ¤ ª ¯ T ¨ ! ¬ ª ¯ ¬[\h _fdT;[N5T d=_j^\]RTWcj " \ ¬ x G J _fd k aiPRTT<¤5]0_j^\[asl ¤ G ¬ (W 0( J ¤ ¯ T 0 ¬ p( U s ¢¡G 0( J ¯ ¤ U ¤bsl¤ ¤ ª T ^ " T ) ¤&¬ ( ¤ W¡2G 4 (J " ¶ FÍT m cfdm ^N] k T aiPR( [`hhiT;mai[\cfd¨T;h1ab_fR^\[\hiPR[\dR h1]1B#m [NT;dJa mc5d k [Nai[\cfdhc5pKTnR_5m¾aidT;hbh«cjUaiPT +_fd e3T d0_j^Nasl«]Rdmai[\cfd d eRpic5e0cJh1[Nai[\cfd AT#m cfdhi[ k T pWaiPT©mcfd=5Tnm _5h1T#_fd k [NdÍaiPT cfpbT S ; aiPRT 5T dRT;pb_f^:cfdRT O(PRTWc5^N^\c [\dR]0h1T ]R^^\T SUS#_U[\h _ k [\piT<m¾am cfdhiT;¤J]RT;dmTwcjbRpbcf3T dR[\]h([\dRT;¤J]_f^N[Nasl ¡ß~j¦ 4 [ Q |( * \ );¢¡G 4 J W ¤¬5¤ " m"& jFG %W 4 W ¬ J& ( FG %!J ± ¥± ;:»;: ±|= "&'=01)("&' "0 " )#/&n"& G+$H #@J |4 (9n"& ME) )mC&"£ L S |( N CM E/&"²) -("0 ("0"> +)M ( n" # ( P\ I) ; ¢¡M G ( 4 (J W G+H #( J 2 "1m"&m "£ mG ( W ¬ ( ( J m C /" £GV_nVY eb1J 7- > !I)| )"M ¤&¬ 5¤ " . . * M( ±$± #% Ta8]h*hi]ReRe3c5hiT#abP_a G))M (W 4 (W ¬ (;J hi_jai[`hs4 T<habPRT WG VXVY%J mcfd k [ab[Nc5dh Rc5paiPT.mc5dJ5Tn e ( pic5G)M0R(^NT;JeS T G+$HL #UG)M0J (;éJ%[aT m _fjdG)M)3(TUW 4 T;_f( hiW [\¬ ^NlK( JhiT & T;djabG)PMy_W a4 (j¢W &G ¬ %nW( J (cfW ¬p(;_jJ ^\^ PM _5hw_ 5^Nc5\ _j^SU [NdR;[\¢S*¡]G S"4 (_J Wa ¤&)M ¬ ( ( ·¤5ab"JP·_apbcf[`S h ^\T SUS#_£}8TP_E5T jFG %W 4 ( W ¬ (J& ( &G % J R PR[`mP ^\T;_ k haic8abPRT k T;hi[\* piT k pbT;hi]R^Na + S R =± "& WE)) &" m L S |( N /"'( "/"& I) &n"' M ( "& G)M ( W 4 ( W ¬ ( J " ) >@ m & IJ4 *@" " G V_VYeJ 0|(+)1 #( m"-"M #( 7/("& W &)">' #( I) ¡s;VJ¦ * !¢¡G (;JW ¤¬ ( 5¤ " m"& ( m C1 =+(&U 1> M0( .
(120). . . .
(121)
(122)
(123) #
(124)
(125) 3
(126) . {. ±±$#%O_~=[\dR 4 4 T 4 ( _jd k TG c¢N G)M
(127) JJ T c G N G)M#4 J/J [\d ¡£{5¦TWP_E5TtabP_a ¡ ¤ G c ( c²N G+M#JJ s«N G)M#J ¤ ª¦
(128) § s ¢¡G 4 ( S!G c ( c²N G)M
(129) JJ s N G)M#J V J ¡ _ ¡ ¡ 4 &R¢¡G ( N G+M#J J s _ ¤N G+M#J ¤ ª¦
(130) § ¶ ¡ 3 A5¦ T dm Tf4 R]0h1[\dR.y_j]mP=lJ§sYgmP=_fp/K_fd k Rpb¡ cf3T dR[\]h¡ß~j¦[NdT;¤J4 ]_j^\[Nai[\T;h;RTWc5¡ gab_f[Nd j § G)MW ( W ¬ ( J & L G)M#J s ¬ p( S G)M
(131) J s _ ¤ S G)M
(132) J ¤ ª s ¢¡G ( N G)M
(133) J J s _ ¤N G)M
(134) J ¤ ª¦
(135) § & L G)M#J s ¤ S G+M#J ¤ G ¤&¬ ( ¤bs ¡_ ¤ S G)M
(136) J ¤ J s°¬ x G N G)M
(137) JJ ¡2G 4 (J s ¡_ / dvyx ¬ G N G)M#J J¶ O(PT#^\_5hsa[\dRT;k ¤J4¡]_fR^N[NasQ lKc5^N^\c$htpic5S ¬ x G N G)M
(138) J k JT ¬ x M G N ( G+M#JJ Yg[Ndm T * !¢¡G 4 ( J W ¤¬ ( ¤5"5 c5p$_jd=l#RngT abPRT pbTW[\h$_8dRT;[N5P=0c5piPRc=c 2 § cj h1]mPaiP0_a 4 j § G)MW (W ¬ (J& L G)M#J s * G ¤ S G)M#J ¤,s°¬ x G N G+M#J/J JbT ( G)M
(139) J W 1 M X 2>§ ¶ pic5S aiPRT;cfpbT SV0gT%j ~=&G dR%ncW 4 (abW P_( a(J abPRT pbTW[\h _fd 4¡ @ RQ _jd )M k ( _8dRT;[N5PJ3cfpbPRc=c k 2 @ cj )M ( ( PT pbT 0M ( [\h _ h1aipb[`m¾atSU[\dR[\S*]RS cf § ¬ O(PR[`ht[\SUeR^\[NT<habP_a [`hW_.h1aipb[\matSU[Nd[NS]RS cj c5d 2@ 2 § . +. U! 8 !U$%& (' )
(140) *+%
(141) dÍabPR[\hh1T<m¾ab[Nc5dÍk T#eRpbcfe3c5hiT#_f^\cf_f^¥YJ§ÖYRvo{_f^N5cfpb[abPRk S cfph1c5^N=[\dReRpic5R^\T S G GIHHJ J O(PR[\h_j^\fcf§ pb[NaiPRS [\h[\dhieR[\piT =lKabPRT©m^`_fhbhi[\m;_j^qY=T;¤J]RT;dJai[`_j^\^Nl tk ]_ p_ab[\mk oqpbcf5pb_fS8SU[\dR FÍT#0T;f[\d =l©pb$ T;m;_j^\^N[\dRaiPRT^\cgm _f^éYJ§ÖYRvG)oM _fW ^N4 5cfW pb[abPRJ S eRpbcfe3c5hiT [\d²f }hG)0M_jd(W 4 [N(abh$W m (cfJ d=fT;pi5T dm T$abPRT c5piT;S GWVXVY%J m cfd k [[\abf[Nc5T;ddKh _jgdTW[Ndf[abT;[\dR_fT ^épe3_cfabTw[\d5_Ua hiT;¤Jr ]RT d0r mT¬ r G)M m^\W c54 hi2TwW ai¬ c.J_U=e3l.cf[\hidJcfa ^\=[NdRx aiPTW¬ ab_jdfaiT PdJ_ja ateRhb_pbcfai[`Rh1^\T T;Sh(? abPRT G)M J p ± ± p k ± G)J SUh1][NgdRrs[\T;SUma[nK;aiT c
(142) NY L GI±JPORQ s ª S G)M 2J s S G)M J-±'TVQ ¶ F PT pbT,N G+±J ¯ T N G)M Jk s t ]uvyx ±³ u DEFHDEGJIEI N
(143) L _fd k aikPRTqS#_jaipb[Yn k pbT e^\_5mT;h3abPRT T;hbh1[`_jd ªI I j¢G)M W 4 2W ¬ J T;S*]R ^`_±ab[N dabPRThicj§Öm _j^\^\T t]0_fG)hi[§J T;(aicfkdSUTaiPMc h x T M ± k [\haiPRT.hicf^\]gWG abVX[Nc5VzdÍecfJ k T TdT s O(PT©e0c5G)[N dJa J GI± W 4 Y x W ¬ x J [\h c5gab_f[NdT pic5S aiPRT m cfd [ab[Nc5dhcfp(abPRTSU[NdR[\SU[nK<_ab[Nc5d epic5R^NT;S gaiP0_a [\h L G)M 2J Zs ' N G)M J ( 4 x s S G+M J p ¬ x s k ± T Q ¡VJ f_J¦ Y Y N G+± J O Q ¡VJ j0¦ WG VXVz J S G)M J s S G)M 4 J-± T Q ¡VJ fm;¦ Y Q ¡VJ k ¦ x [ 4 ¢¡G x N GI± J/J T Q ¡VJ jT<¦ .
(144) <}.
(145) . $ "& G)0M (W 4 (W ¬ (J 0" ) >& IJ M$ 2 m" WG VXVzeJ |( I) .£ |([ m"9&"M |(7 = ± /("&M &)"> 0|(+)B6 " 9)#/#) I) $ E)) &"% m G G+M)( J W G+M)( J-pJ-p M 0 G 4 5 W #J ( G m4 ( W k ( J B + ªI I|j¢( G+M)k (W 4 (W ¬ ª ( Jj G)M 2 ( W "4 ( W ( "J 0" + J Q ' W.N 0² m" & "MY " S "&¤ M "r G)c M M)W ( 4 ¤ +W J 2¤2 "&|"&r / ¬ -r " ('c $ m"¬ 2¤ Y $$7i¤$D%.Rc J Y . I k I"&
(146) (")*U|ª " (£j¢¬ G)#M (9( ¤ W 4 ( W "+( 2J¢" T W'E )mG "&M ! |" M ( $- G)M G ( 4 W 4 W ( W ¬ ¬J ( J ¬ ¤ c ¤s¤ ¬ c G 4 ( " W ¬ ( J/ J ¤ "& +2" 0" J£" "&P" ( / +( c Y I I xt]Rp*eR]Rpbe0cJh1T#PRT;piTU[`habc«Tn=aiT;d k aiPRTY=§ÖYgvto{_j^\fc5pi[NaiPS aicKc5gab_f[NdÍabPRT#f^\cf_f^qmc5dJ5T pbfT;dmT cfp abdPR[\abh;PRJTT$cf^\m ^\cfcd hi[N[ dRk UT peRaipbPcfTe3c5 hi_f[Naid8[\cfe3dT d0_jT^Naselpic]R5dTtmabaiP[\cf_da abk PRT T*hidRcfT ^\k ]gai[\[\d«cfd ¡ 3 ± {f ¦¾Jcj_j d G)k _f dJ [` h$_ 'k C&T<1him !T |dJa" k [\pi&T<"0m¾ abR[N c5 d c5p ( _a abPRTe3cf[\d5a M PT d k [\h(e3c5hi[ab[N5T k T0dR[abT_jd k * [\h$hi] B©m[\T dJab^Nl©^`_jpbfT x ± ¥± ;:»;: ±| = $ E) )mC&" m L W S |( N /" > M &+)1£ |(Y ¢ m"&B("&4 6 +6 " /" "& *@ $" % m) " G V_ VY J M #( I) 2.z " ) +"&-|"&Y %$ M I ) m "& ($ ("+*,|" (Y ¡ 3 {5¦ GI± W x W ¬ x J ¡»V5 J¦ . (F G)M /± J'& L G+M J p ± c * G ¬ 4 x G N G)M JJ sl¤ S G)M J ¤ J T Yc ± p k ± s ¢¡G x N G)M JJ s ¬ p x S G+M 2J c * G ¬ x G N G)M 2JJ sl¤ S G)M J ¤ J ¶ ¡»V<¦ " 0" * \ !¢¡G 4 x J W ¤&¬ x ¤ " . "1- (F G+M 0± J& c ± p k ± ¶ ¡»VJf¦ ±$± #%éTa$]hn 5X2S Qm+W ^ V l ¡VJ fm;¦TWP_EfTtaiP_ja ¤ S G)M J s 5 S G)M J-± ¤ T FG ^ c 5/J ¤ S G)M J ¤ ¶ _fd k Jl©aiPRTm cfd=fT n=[Nasl#cj,¬ x FG %!J _fd k ¡»Y V5 f0¦TWc5gab_f[Nd ¬ x G N G(5± J/J T ¬ x G N G)M J s 5 /uwvy] x ± u * N G)M M u J J & &G ^ c 5/J ¬ x G N G+M JJ s 5 ¬ * x G N G+± J/J T &G ^ c 5/J ¬ x G N G)M JJ ¶ pic5S aiPT;hiTwpbT ^`_ab[Nc5dh(TwP0_EfTtaiP_ja ¤ % ¤ F G S G+M J S G+M 2J-± JbT c1¤ S G)M J ¤ W ¡V 3 _J¦ Y G ¬ x FG %!J J F G N G)M J /uwvy] x ± u * N G+M M u J J& c¬ x G N G+M J/J ¶ ¡V 3 0¦ * _fd k _jeReR^\l=[Nd8^\T SUS#_ {TW5Ta (F G)M /± J& L G)M J p ± c * G ¬ x G N G)M J/J s ¤ S G+M J ¤ JW Y S R.
(147)
(148)
(149) #
(150)
(151) 3
(152) . ~. _fd k pic5S"¡VJ f_5¦¾é¡VJ fm;¦_fd k ¡V5 fT<¦Twc5gab_f[Nd (F G)M /± J&°¡2G 4 x N G+M JJ s S G+M J p ¬ x c * G ¤ S G)M J ¤bs°¬ x G N G)M JJ J c ± p k ± ¶ \* );¡2G 4 x J W ¤¬ x ¤5"J5abPRT*y_j]mP=lJ§sYgmP=_fp/K$_fd k pic50T;dR[\]hW¡H~j¦[\dRT;¤J]_f^§ \ [ d j _ \ ^ N ^ 5 l g [ [Nai[\T;h(^\T;_ k aic8aiPRTpbT;hik ]R^Na k + Í F w T f _ i p T R d c ¢ i p < T _ 8 l i a c ; T b h m b p \ [ 0 T b a R P w T [ b a. T p _ i a \ [ f c d U ~ f c · i a R P w T f \ ^ f c f _ 0 ^ f _ N ^ 5 f c b p [ b a R P S 5 c p i h f c \ ^ = N [ R d R e b p f c R \ ^. T S GIHJ FÍTh1]eRe0cJh1TwabP_a M [`h~=dRc d4 x x 4 ycfSUeR]RaiT_8e0 c5[NdJa GI± W W \ ¬ J hb_¢ab[\¡h1G 4l=[N dR x JWG WVXVY x J [\d ¡»V5 J¦ hiT;¤J]R4 T;d m T y* "cfSUhb_eRai]R[`h1aiT T;h* aiPhiTW_jaicf[`hs^\^Ncl= [\dR[\dRU* eRpbcfe3T piai[\T;h;? ¤&¬ ¤ "5[Nd hi]mP _«(_ElKabP_aaiPRT GI´J * 9\ )¢¡x G 4 x JW ¤¬ x 5¤ "s * @ ¶ G &J cfp$ _f^N^x \ \ ! ¢¡G 4 x JW x W T x ¶ ¡»VfVJ¦ N [ & ¤ ¬ ¤ "s * @ abPRT d * * * GIo;J * "[\h$0c5]Rd k T k gaiPT d * [`h(S8c k [NT k rs]0hsa d[abT ^\l.S#_jd=l#ab[NSUT;h; k TPT dRpb[\T dR x XZT Q _fd )k ,^* @¶ °Q _jx pbW TtRng)T k;e¡2_jG p4 _jSUTx abJ T W p¤h ¬ x h15¤ [\SU"seR^NTW"(_E lUPRaiT c8d ]RG ;Je k »__jab[\T ^\h * 5T pb[l=[\dR«¡V5VJ¦¥[\h 4 * ÍO(PRT8h1aiT;e ^\T * dj aiP 4 [\hWm cf4«SUX eR]gG+ Q abTW k^ =l« ]hi[\dR _fd* @ ' C& &" R gWn" :aiP_jaW[`h; 4 [\h _fd _feReRpbcEng[NS#_ab[Nc5d.cféaiPTSU_jng[NS]RS V PR[\mP5T pb[T<h (
(153) G)M s 4± J& (
(154) G)M J s 4 ¶ ¡»V2{f¦ F4 PT pbT Q=+ + k ^ _fd k [`h(aiPT]ReRe3T p$k 3cf]Rd k cf (F
(155) G)k M /± J 5[N5T d [Nd k ¡V0<¦ O(PRTTng[`hsabT dm Twcf 4 [\m h¥_jfd]3_fTpb_fmdJc5aiS8T T e]g=aiTl*k [\dR_5T<h¤5]0cf_j^\^N^\c[as$lh;¡? V{f¦A_fd aiPRT »_5m¾aAabP_a [`hAe3c5hi[ab[N5T T0dR[abT «c5piT eRpbT;m [\hiT ^\lf Y=aiT e« ²® ¯ TVQ W ¡ ¯ T ^ Y=aiT e *¡V{f¦[\h hb_ab[\h1T k [NaiP 4gTV¡ WaiPT d 4 TV¡ _jd k h1aicfeaiPT^N[\dRT;_fp$h1T<_jpmP Y=aiT eK dcja;ab_~5T ¡ x T q¡ é[\dmpbT;_5h1T%®«=lKc5dRT8_fd k fc aicKYJabT e [abP XVG+Q W ^ J _RngT k mc5dhsa_jdJa 4 vtTdT M x T6M s 4 ± S R =± "& WE)) &"¢ m L W S |( N /" > x M I) . |( m y m"&¢("&6 +6 "W /" ) . " 1)("& " n0 (" &) " ( g " -"4) ? i g #(=WE)) &" m"¢£ +( " k /"k50 &x "- )mC+6 " (")*U -"W. ' "&"M" "& " k " J¢0`|("0(i02" m"& . 4 m"Zx &"M" x"& " G+M W ¶ ¬ J " m"& |" "£ n . 2 ! I) . E# M1g m"Z&"M" "& " ? 2 m"&"#" "& "W " |( 2G 4 x W ¬ x J " /"| C#(" ( * : 2 m"&/" J ²|(" ª W. Y m J= 1i q£ \ ª ²J= &" |" ' m" n . 2 ! I) 1EM M * . . . . . . . .
(156) }.
(157) . M (
(158) G)M JGB 4 c I j¢G)M W x W ¬ x JNB QmW S G)M JNB Q W ¬ x G N G)M JJ B Q #( ¢¡G 4 x N G)M J/JGB Q Y ±±$#% ^ J O(PT T;¤J]R[\E_f^NT;dmT 3TasT T;d8aiPRT ]Rd=3cf]Rd k T k dT;hbhAcj * "_jd k G 4 x W ¬ x J "$[`h k [\pbT;m¾a pbcfS _2J ¡VfV=¦ GI´J § G &J T at]hth1]eRe0cJh1TaiP_ja "*[`h3cf]d k T k l ¡VfV=¦ G+oJ T~=dRc aiP_ja$aiPT pbT*[`h_jd[Nd k Tn hi]mPOc#aiPm_jcfa d0*m^\] kT T* ¯TwT e*pic 5 Tcfabp$P__f* a ^N^ [N GI\ ´J [\ª h(dRcfa aipb]RTwaiPRT;d G &J PRc5^ k h RpbcfS ¡V2{5¦¾R [NaiP 4gT 4 gTª ~=dRc aiP_jaaiPRT©> hiT;¤J]RT;dmT (
(159) G)M J "U[`h k T<mpbT;_5h1[\dRcfp_j^\4 ^ \ B ª Q¶ _fd k aiPRT;d (
(160) G+MJ\T> cfp hicfSUT^Nm^(c5^\d[NSUh1ab[N_jabh8dJa [Nd RG &Jc5gab_j_fpb[NT.dR[\mdRc5Udhi_jT;J¤J_j]R[\d.T d0mpbT;cfh*S"cj ¡»V2ab{5PR¦qT.abPRT n=T[`h1^\[NaiSUT d0[Na mT.cf 4 Q hi]mP aiP0_a 4 \ 4 c5p_f^N^ @ @ \ ª g PR[`mP [\SUeR^\[NT<h(pic5S aiPT^N[\SU[a_f0c5TabP_a B Q d k T T k R[\dRT;¤J]_f^N[Nai[\T;h & c ± p k ± s°¬ x G N G)M JJ ¢¡G 4 x J s ¤&¬ x ¤¤ S G)M J ¤c * G ¬ x G N G)M J/J s ¤ S G+M J ¤ J & c ± p k ± s G * c * @ J G ¬ x G N G)M 2JJ sl¤ S G)M J ¤ J c * G ¬ x G N G)M JJ s ¤ S G+M J ¤ J epic5TabP_a & c ± p k ± c @ G ¬ x G N G)M JJ s ¤ S G+MJ ¤ J&aQmW ¡»V5}5¦ * P[\mP [NSUeR^\[\T;h(abP_a$[N B Q aiPT d ¬ x G N G+M 2JJ B Q _jd k S G+M NJ B Qm¶ dRT<¤J]_j^\[asl ¡VJ}5¦_j^`h1cWhiPRc$haiP_jac ± ± p kB Q ± B Q f_fd k abcf5TaiPT p [abP8aiPRT(»_5m¾aaiP_ja k5 x " [\h 3cf] kd k T k 5[Na¥[`hAT;_5h1l*aicmc5dm^\] k T$aiP_ja O(P[\h;jabcffT aiPRT;pq [NaiPK¡VJ f_J¦_jd k aiPT$0c5]Rd k T k dRT<hih cf "5g[\SUeR^N[\T;h aiP_ja IY j¢G+M W 4 x W ¬ x NJ B Q ¶ [\d_j^\^Nl5R=l k T dR[Nai[\cfdcj T%~Jdc aiP0_a L G+MJ p ±T s * G ¬ x G N G+M2JJ sl¤ S G)M J ¤ JNB QmW Y _fd k pic5S"¡VJ f_5¦Th1T;TtabP_a ¡2G 4 x /uwvy] x ± u * N G+M M u J J s ¬ p x S G+M J-± T c ± p k ± c L G+M J p ± B Qm¶ Y Y * O(P[\h8^\[NSU[Na#_fd k aiPRTT;¤J]_f^N[Nai[\T;h¡»V5 jTE¦*_fd k ¡»V5 5m;¦¥aicf5TabPRT pU [NaiP aiPRT3cf]Rd k T k dRT<hih8cf ¬ x "5 _f^N^\c ]h aicU pi[NaiT.
(161) ¢¡G 4 x N G)M JJ T
(162) c ¢¡G 4 x /uwvy] x ± u * N G)M M u J J T
(163) ¬ p x S G)M J-± T
(164) * c¬ p x S G+M JUT6Qm¶ Y . . . . . . . . . .
(165)
(166)
(167) #
(168)
(169) 3
Documents relatifs
R´ esum´ e : On pr´esente des r´esultats autour du probl`eme suivant: pour un point mat´eriel dont l’acc´el´eration est born´ee par une constante donn´ee, et pour un
Ensuite, pour déterminer lesquelles des voix créées pouvaient être qualifiées d’« androgynes », nous avons fait un test de perception dans lequel nous avons demandé
Toutefois, des améliorations sont à prévoir car bien que la protection induite par ces glycoconjugués soit significative, elle n’est cependant pas optimale pour mettre
L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des
Venant compléter les nombreux guides spécialisés qui informent le touriste gay sur les différents lieux et structures qu’il pourra fréquenter s’il recherche son
L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des
[…] Chez nous, le parterre […] est composé communément des citoyens les moins riches, les moins maniérés, les moins raffinés dans leurs mœurs ; de ceux
But on another hand, increasing q at constant operative pressure results in decreasing the equilibrium pressure, by decreasing the operative temperature (Figure 9), and finally, it