On iterated-subspace minimization methods for nonlinear optimization: Proceedings on Linear and Nonlinear Conjugate Gradient-Related Methods
Texte intégral
(2)
(3) "! $#% '&(#*)+#, .-/#((0$1 2* "!
(4) "#% 3547698;:(8=<1>@??
(5) ACB;DFEHG$IKJ,>@L5MHNO+B68
(6) PRQTS"U$VW?;QTVWS"X,QT?;NZY\[=81]8
(7) ^=>_E`?5U"X a VW3S$L;QTS"4KbdcB
(8) bdefefc gZhjiWkdl+m;nTkfoqp VrG>f?;stEuN5VWSrQvG$MuQfs"sw>Tx%yzU"VWSQTU"VdN5{|PfL3;s|};QfGVv~E?5EEdQTU|E>f?.zy"PR~ VWU"[>Nsx>fS s|>_M`@E?MuQTS"fVW{zs$GWQ+MVL?;G>f?;s|U"SCQE`?VdN.E`?5EEdQTUE`>@?}S">f35MVWsW86UVdQfG$[*Q_>@SZEU"VWSCQTUE`>@?*>Tx s|L;G$[Q VWU"[>N
(9) BQM`>T{zN@EVW?;sE`>@?;Q+MQT?5Ex>TMuN
(10) BU"[VE`U$VWSCQTU"VdNs|L3;s|};QfGVfBFEHs7G>f?;s|U$S"L;GU"VdNQ_?;N QT?QT}}S">+5E`7QTU"VrE`?5EEWVWS>TxU$[Vr>f3|VdGU|EfVxL?;GU|E>f?E?U"[5Eus7QT?5Ex>TMuNU"[VW?N5VWU"VWS"E`?VdN
(11) 8 ^ [VEU"VWSCQTU$VdNZs|L3;s|};QfGVEusG"[>5s|VW?U$>G>@?RUCQE`?7fVdGU">@SCs[5EuG$[ZVW?;s|LS"V%TM>f3;QM'G>@?RfVWS$fVW?;GV,>_xU"[V >TfVWSCQMM;s"G$[VWV,QT?;NQ+4Q+Mus|>G>@?RUCQE`?fVdGU$>fSCsj[5EuG$[VW?;G>fLSCQT@V1xzQfs|UQfs|45}U">@U|EuG G>@?RfVWS$fVW?;GVf8 p V%N5VW>f?;sU"SCQTU"VU"[;QTUU"[5Eus QT}}S">RQ@G"[ZGWQT?s|>@VWU|EVds 3;V¡fVWS"4Q@N5QT?5UCQTfVW>@L;s1QT?;NE?;N@EuGWQTU"VU"[V fVW?VWSQ+M}¢VWS|x>fS"QT?;GV>f?Q£G>TMMVdGU|E>f?>Tx%MuQTS$fVr}S">@35M`VW7sW8*~>fS"VW>TfVWS+B G>fw};QTS|Eus|>f?;sw EU"[Q MEEU"VdNVW>fS$4¤QT}}S$>RQfG$[¤QT?;N£¥+¦,§\¨\©
(12) ¥@ª «QTS"V%QfN5Vf8 A y¬ ~^%8®8 p QTUCs|>f?Z: Vds|VdQ_SCG"[ <1VW?5U"VWSdBYj8¯8®¬ >+°b+±B5²>fS"I5U">T?¤³VEf[5UCsWB;D²´b+µf¶fef±B·(Pf6 ¸ Q+EM ¹1Q_SCG>f??
(13) ºQTUCs|>@?=8 E3r8®G>f O <1VW?RU$SCQ+M
(14) <1>f}LU|E?»¡VW};QTS"U"VW?5UdBf: LU$[VWS|x>@SCN6¡}}5M`VWU$>f?]=QT3¢>fSCQTU$>fS"4fB5<1[5EMU">f?=B¢¯ 5x>fSNs|[5ES"VfB ¯ ¼bfbµ5½¼B ¸ ?_MHQ_?;N ¸ Q+EM ¹?=8¾f>fL5MuN¢º MVWU"U"VWS"3¢>d=8¿S|Mz8®Q@GT8¿LI < LS"S"VW?5US"VW};>@S"UCs Q+Q+EMuQT35MV3R4ZQT?>f?54Rw>fL;s xU"}7xS$>fÀU"[V9N@ES"VdGU">@S"4ÁÂ}L3
(15) ÃdS"VW};>@S"UCs"Ä>@? |>T4f>fL;s|{5QTSCN
(16) 8®GWGT8¿SMÅ8ÆQfGT8¿LI7E?RU$VWS"?VWUbdÇfµÈ8®°TÉRc8Æe8®ebT Xv»¡VW};QTS"U"VW?5U1>_xÊ~KQTU"[VWQTUEHGWsËB a QfGL5MUVdÌ s ·?5EfVWSstEUCQ+ES"Vds¡D,».N5V¡MuQYQ+EÍBcb¡S"LV%N5V¬ S"L5VMMVdsWB ¬ {z¶fµ@µfµD,QTLSdB¬ VMTELrB ¸ < ¸ Q+EM ¹1Q@sºQTU"[=8 xL?;N5}=8®Q@GT8¿3;V%>fS }[5UWºQTU$[=8 xL?;N5}=8ÆQfGT8¿3;V < LS"S"VW?5US"VW};>@S"UCs Q+Q+EMuQT35MV3R4ZQT?>f?54Rw>fL;s xU"}7xS$>fÀU"[V9N@ES"VdGU">@S"4ÁÂ}L3
(17) ÃdS"VW};>@S"UCs"Ä>@? U$[;Q+MVdsW8¿QTU$[=8 xL?;N5}=8ÆQfGT8¿3;VÅE`?5U"VWS"?VWUbdÇf±8¿É5±8¿É;8bËÉ ÎZÏ5Ð=ÑÒlTÓjifÔ ·?;G>f?;s|U$SCQ+E?VdNZ>f}UE`E`dQ_U|E>f?=B5MuQTS"fVW{zs$GWQ+MVG>@}LUCQTU|E>f?=8 Õ.mkTÖÏ¢×KmkdØunfiÙjÚ=hÛËÏÜn_kZÝ9ÞHm;ididØ`ß1nTmkdØÒ'àÍi@Ô c@¶fá%µf¶Befµ5< Çfµ âZÚjàjàÍØÅàãkdØHkdÞHÏÔ yzU"VWSQTU"VdN5{|PfL3;s|};QfGV~E`?5EEdQTUE`>@? ä=åWæ®çjè
(18) éCêë¡è=ì"ç'çídîdîTéêïð|ñòWó¡ïådð1ô
(19) ðtõ®ö$æì"÷øì"ïùæ®é÷ìõ;úTíd÷dñ¡ûéêüWýtæ®ð|÷Wïùæ¿þýÿ=ð|çðì$êýzå ä=å+ðêð|çðì$êýzå%é$û ÍéC÷+÷ì"÷+ñ äé"æ®÷Wï'èÍì$ç
(20) çídî+îéêïð|ñ¡æ®÷%îì$êï
(21) òWóïådð jñ Cì$÷dý|ð|ñ¡ÿ=ð|çðì$êýz å ¢ê é tð|ý|ï
(22) ç jöð÷+ý|óé"ûïådð jð|îì$êï ð÷Wï'é"û jðtû`ð|÷+çð1ì"÷+ñ è=ì"ç é÷Wæ®ïéêð|ñòWóïå+ð =æ®ê úéêý|ð ý|ð é$ûÊüËýzæ®ð|÷Wïùæ¿þTý,ÿ=ð|çð"ì$êýzåí+÷dñdð|ê
(23) éC÷Wïêzì$ý|ï1øjé,ú !"#$%$&'%ä=ådð (÷Ëæ®ïð|ñ¤üËïzì"ïð|* ç )j+é ðê,÷ ð÷WïFæ®çFì$ídïå+éCêù.æ -|ð|ñZïé%êð|îdêéWñ+ídý|ðì"÷+ññËæ®çïêùæ®òdí+ïðêð|îdêùæ®÷Wïç ûéê1ö+é ðê,÷ ð÷WïzìõîdídêîTéçð|ç ÷déïuèÍæ®ïådçïzì$÷dñWæ®÷+öì"÷Wó¡ý|éCîWóWêùæ®öåWïj÷déïzì"ïùæ®é÷å+ðêð|é/÷.
(24)
(25) !""#$"%& '"(!)*(+,.-( 0/1(2"34 5 +"#$"%& '"( 687:97 ;<>=?=&@A+BDCFEHGI<KJ?LDM @687NOQPSRUTV=OWTVP4OQ=MYX[Z\7]^7 _&<KB`=
(26) R a TVb:PUJOWPUcedgf
(27) @ dVhKh>f ijk3lSmon>pFl s q u r " t v W w z x | y W { " r ^ } ~ " t | ~ x ^ x F v " r z } ~ z " r V { V W W z x W |+~}zr"Wr vVx{t3~¡^|rI~W|vowQ¢ t"vD{WwWy|xz+}zr"~wWy|wWxr"y|v{wW~I&y|+wWy|~wWy|y£"`~vy{¤v¡\wzWW~}zrst"vrWy||r"r"}z+~y|wWzx"r"y|I{e&y|"xu~WQr"y|~xvWtw~t"`IroW¡¥~Sy|xv'}^t3+vy|r"wWr"xz}zW~}vVQ{Wy|vt"x'w r"`v{.vo} ~xzxzwWvW|{¦tV y~wQw~ ~©&WWWr}vUy|§Wr3y|}I~~zr"{Hr+IxzWy|WwWxy|QI~y£t""rr"}y|xvotWzvWxrr"wvvsr"t"t3zvy|wVr~`yWwwWt"zr"y|t3vwHv}zxIy|wH¢&zWWy|y|txIIr"wW~wWxzWy£`}vr|{|vWWr"~w¨t"{Wvr"wVr3}r"I}zy|r"wWwWr3t3{r vFt"v wVWr"r}zvor"wWr"t3}ro~&)qsxtr&W{Wr"+r"IrIv~wWwQx{sz}~Ir^~oªW~~|xvzWt"y|vxwV~W~Wy|ws}zv~r"tt"+vt"}~xuw¢&xvWIy|tsr"zy|r"IwWt"r"vx?WK}r5~rr"}«ª+~x~¬{W~ox~ªVwV+~Wr"vvQy|tx ~t"vwWI{HWy|~wW}{Wy|y|xt"v~wWx r¢&Wyzr8I~r3|wWy|Ir"}~y|^r3{>r"I}`r"v+}zIv}~ª¬wWt"~rWWv}zwHv~~stt3v~|wW|r"{st"¯Sy|°'vwH±²vo³¯o|~´&}zµr~}zWr^}vIW|~r"{QIrox3®v}zr"vor"}3¡ ¶ ·V¸¹WºW»&¼'½ ¾K¹V¿»¸ yz?U"[5EusK};QT}¢VWSdB V G>@?;stEuN5VWSÀ;?;N@E? Q M>ÜGWQMws>TMLU|E>f?>TxU"[V£L?;G>f?;s|U$SCQ+E?VdNE?5EEdQTU|E>f? }S">f35MVWrB Cbf8bT E?5EEWV Å' Á SÆ Á'ÂoÃÄ [VWS"V VQfs"s|LwVfB¢x>fSsE`w}5MEuG$EU|4fBjU"[;QTU%U"[V>f3|VdGU|EfVxL?;GU|E>f?YÅ.ÇYÈ O 8 p VQTS$V9};Q_S"U|EuGL5MuQTS|M4 E`?5U"VWS"VdsU"VdNE?U$[V GWQfs|Vv[VWS"VHÉ.Eusrs|LKÊZG$E`VW?5U|M4MuQTS"@VvU"[;QTUZVWU$[>ÜNsQT}}S">f}S|EuQTU$VKx>@Srs|Q+MM }S">f35MVWs¨Ë sL;G"[/QfsKU$[>Rs|V[5EHG$[ÀEf[5U QE`?5UCQ+E?ÀQ*N5VW?;s|V xÅQ@GU">fS|EdQTU|E>f? >Tx Qs|L5EUCQ_35M`V QT}}S">+REQ_U|E>f?>TxU"[V ³Vds"stEuQT?Q_U"S|EÍB¡s|VWVfB x>fSV;QT}5MVfBJEMMÌÍÎWÏÑÐ Cbde@±bTCB »¡VW??5EusZQT?;N PRG"[?;QT3¢VMrCbde@±fÇ5QT?;N a MVWUCG$[VWS£Cbdef±ÓÒfË Q_S"VKE}SCQfGUEHGWQMÅ8 p VQTS"VvVds};VdG$EuQ+MM4.E`?5U"VWS"VdsU"VdN E`?s|>TM@E`?MHQ_S"fVZ}S">f35MVWs9x>fS[5EuG$[VÈQ@GUsVdG>f?;NN5VWS|EQTUE`@VdsQTS$VV}5MEHG$EU|M4Q+Q+EMuQT35MVf8£6U QTS|EuQT?;GV EU"[Q};>f}L5MuQTS7Eus"G>f?;GVW}UE`>@?=B s|L;G$[}S">f35MVWsxS"VÔfLVW?5U|M4QTS|Eus|V7E?}SCQfGU|EuGVfB Qfs(Eus VWfEuN5VW?5U9[VW?v>f?VG>f?;sEHN5VWSsWBQT>f?RsU%>fU"[VWSCsWB
(28) U$[VMuQTS"fVZ< ·,^ ¸ G>TMM`VdGUE`>@?s|VWV¬ >f?RQ_S"U"sÌÍ ÎWÏÑÐB=b+efef¶5C8 p VrQTS"VZ}S|EQ_S|EM`4G>f?;GVWS"?VdN EU"[U"[V G>@>f?5M4£>ÜGWGLS"SE`?GWQfs|V7E?[5EuG"[U"[VrG>Rs|U>_x VWQ+ML;QTU|E?7U"[V¡Q+MLV>_xÍU$[V%>f3|VdGU|EfVxL?;GU|E>f?rQT?;NEUCs N5VWS|EQTUE`@VdsWBQ_U QTEfVW?Z};>_E`?5U Á B@EHs M`Vds$s stEf?5E|ÀGWQT?RUwU"[;QT?£U"[V¤G>5s|U>Tx,s|>TMfE?;BÊx>fSE?;s|UCQ_?;GVfBU"[VZDVWU$>f? VÔ@L;QTU|E>f?;sË8v¯LSV};VWSE`VW?;GV EU"[U$[VMuQTS"@VW{zs"GWQ+MV,?>@?5ME?VdQTS>f}U|EEdQTU|E>f?7};QfG$IQTfV¥+¦,§\¨\©
(29) ¥@ª « s|VWV<1>f??ÌÍ&ÎWÏÑÐHB;bdefe@°5=[;Qfs 3;VWVW?vU"[;Q_UEU¡Eus%U"[V(ME`?VdQ_S"{zQ+MfVW3SCQKG>Rs|U¡[5EuG$[ U$VW?;Ns¡U">¤N5>@E?;QTU"V[VW? s|>_M`@E?rQZstEf?5E|ÀGWQT?5U ?RL3;VWS>Tx EuN5VM4 N@E|Õ=VWS|E?vQT}}5MEHGWQ_U|E>f?}S">f35MVWsws|VWVfB\<1>f??ÖÌÍuÎWÏÑÐB bdefefÇZQ_?;N£<1>f??®ÌÍ¥ÎQÏ×ÐHB bdefefc58=^ [RL;sËB+E`Uj >fL5MuNQT}}¢VdQTSN5VdstESCQT35MV E?U"[Vds|V GWQ@s|Vds=U$>,QTU"U"VWw}U=U">S"VdN5L;GV U"[V\ME`?VdQ_S"{zQ+MfVW3SCQ G>Rs|UCsWBÈVWfVW?7Ex1U"[5EusS"VdsL5M`Us E? QT?7E?;GS"VdQfsV%E?rU"[V?RL3¢VWS>Tx>f3|VdGU|EfV¡xL?;GUE`>@?rVWQM`L;Q_U|E>f?;sW8 ^ [V>5s|UG>@>f?ZVWU$[>ÜNsx>fSL?;G>f?;sU"SCQ+E?VdNE?5EEdQTU|E>f?vVEU"[VWSN5VWU"VWS$E?VQ7s|VdQTSG"[ N@E`S$VdGU|E>f?x>TMM>T VdN354Q ME?Vds|VdQTSCG$[7>fSL;s|V U"[VU"S$L;s|U"{S"VWTE>f?QT}}S$>RQfG$[|s|VWVfB+x>@SV;QT}5MVfB»¡VW??5Eus QT?;NPRG$[?;QT3;VMzB¢bdef±fÇ58
(30) yz?U"[Vx>fS"wVWSGWQfs|VfBTQstE}5MV>N5VMR>Tx;U$[VL?;N5VWS|M4fE?>@3VdGUE`@VxL?;GU|E>f? Ø.
(31) ° uE sG>f?;s|U$S"L;GU"VdNE?v>fSCN5VWS%U">ZN5VWU"VWS"E`?VwU"[Vs|VdQTSCG$[vN@E`S$VdGU|E>f?=8¬ 4 G>f?5U"SCQfsUdBE?vU$[VMuQTU$U"VWSGWQfs|VfB QT?QT}}S">+REQ_U"VE`?5EEWVWSZ>Tx¡U"[Vw>ÜN5VM,FE`U$[5E`?QS"VdsU"S|EuGU"VdNN5>fQE`?tU"[VU$S"L;s|US"VWTE>f?
(32) ¡Eus N5VWU"VWS"E?VdN
(33) 8^ [5Eus>N5VME?5EEWVWSEusU"[VW?L;sVdNQfsQr}S$VdN@EHGUE`>@?>TxU"[VrQfGU$L;Q+M E?5EEWVWS >Tx%U"[VrU"S$LVZ>f3|VdGU|EfVf8yt?QKU$S"L;s|U"{S"VW_E`>@?VWU"[>N
(34) Bs|L;GWGVds"sw>TxU$[5EHsw}S">GVds"sEHswVdQfsLS"VdN£3R4 G>f};QTSE`?KU"[Vw>ÜN5VM,QT?;NU"S"LVwxL?;GU|E>f?£QM`LVdswQTUU"[Vw}S"VdN@EuGU"VdN£E?5EEWVWSd8Kyz? ME`?VdsVdQTSCG$[ VWU"[>NsWBU"[V¡U"S"LV¡xL?;GU|E>f?7EusL;s|VdN7U">Vds|UCQT35MEus|[KQ9sU"VW}rstEWVf81^ [5L;sWB3¢>fU"[Z>TxU$[Vds|VQT}}S">RQ@G"[Vds Q+43;V%G>f?;stEuN5VWS"VdNU">}¢VWS|x>fS"ÀU"[VESL5MU|E{zN@E`wVW?;stE>f?;Q+M >@S"I EU"[ZS"Vds|}¢VdGU U$>Q(>N5VM[5EMus|U }S">f35E?KU"[V7U"S"LVxL?;GU|E>f?L?5E{zN@EVW?;stE>f?;Q+MMu4f8 ¯ xG>@LSCs|VfBjU"[V7>ÜN5VM,N5>5Vds%Q_IfVL;s|V7>TxU"[V U"S"LV¡xL?;GU|E>f? Q_?;NZ};VWS$[;QT};s EUCsN5VWS|EQTU|EfVds[Ë 7Qd453;VQ_U>fS"V¡U"[;QT?rQwstE?TMV9}¢>TE?RU+8 yz?vU$[5EHs};QT}¢VWSdBj V9UQTIfVU"[VwfEVW U$[;QTUU"[V7QT3;>TfVs"G$[VWVdsQ_S"VÔ@L5E`U$VQfs|U$VxL5MzB=_E`@VW?vU"[V QT>fL?5U>Tx
(35) E?5x>@S"QTU|E>f?U"[;Q_UQ+49[;Q+fV 3¢VWVW?¤QfGWGS$LVdNN5LS|E?U"[V%QT}}S$>d5EQTU"VT
(36) E?5EEdQTU|E>f? >TxU"[V>N5VMz8 yz?K};QTS"UEHGL5MuQTS+B;U"[V>N5VMQ+4[;Q+fV3;VWVW?Ks"QT}5MVdNE? Qw?RL3;VWS¡>Tx};>fU$VW?RU|EuQ+MM4 E?RU"VWS$Vds|U|E?N@ES"VdGU|E>f?;sWBÈ>Tx=[5EuG"[Z>f?5M4U$[VQT@fS"VWRQTU$VFN@ES"VdGUE`>@?7EHsF?>fS"Q+MM4G>f?;sEHN5VWS$VdN7U">3¢V%>Tx stEf?5E|ÀGWQT?;GVf8 p V QMHs>3;VMEVWfVU"[;Q_UdBd}S$>@EuN5VdN¡xL?;GU|E>f?QT?;NN5VWSE`TQTU|EfV QM`LVdsQ_S"VjE?VÜ}¢VW?;stEfVU">,G>@}LU"V S"VMuQTU|EfVU">KU"[VZME?VdQTS"{zQ+MfVW3SQ G>RsUCsWB QT?QT}}S">+5EQTU"VT¡M>T{zN@EVW?;stE>f?;Q+M%E?5EEdQTU|E>f?EusQ S"VMuQTU|EfVM4stE}5MV GWQMHGL5MuQTUE`>@?=8yz?;N5VWVdN
(37) B V7xVWVMFU$[;QTUU"[VWS"V7Eus[5Ef[{Ô@L;Q+ME`U|4fBS">f3L;s|UdB\fVW?VWSCQ+M{ }LS"};>5s|Vs|>TxU|FQ_S"V S"VdQfN@EM4¤Q+QEMuQT35MV¡x>fS U"[V%s|Q+MM{zs"GWQ+MV%L?;G>f?;s|U$SCQ+E?VdN7E?5EEdQTU|E>f?r}S$>f35MVWrB QT?;NU$[;QTUs|L;G"[s|>TxU|FQ_S"VEusw?>fS"QMM4GWQT};Q_35M`V>Txs|>TMfE?£}S">f35MVWsw>Tx%>ÜN5VdsUN@EVW?;stE>f?;s7{ s"Q+4rL}£U">rQ7[5L?;N5S"VdNvTQTS|EuQT35MV7}S">f35MVWs{VU"S"VWVM4xÅQ@s|U%>f? GLS"S$VW?RU >@S"IÜsUCQTU|E>f?;s W
(38) Ì. Í >ÎWÍÍxL?;GU|E>f?KVWTQ+ML;QTU|E>f?Eus,G$[VdQT}=8¯ x G>fLSCs|VU"[VWS"VQTS"VfB
(39) QT?;N7 EMM G>f?5U|E?RLVU">3¢VfBs|7Q+MM`{zs$GWQ+MV }S">f35MVWs\[5EuG"[Q_S"V G$[;Q+MMVW?TE?;B53;VdGWQTL;s|VU"[VW49QTS$VFs>,?>f?5ME?VdQTS U"[;QTUQ+Mf>fSE`U$[s'E}5MVWVW?RU$VdN E?ÀÜVdN
(40) B À;?5EU"V}S"VdG$EustE>f?QTS|EU"[VWUEHGQTS$V9L?;sL;GWGVds"stxL5MÅBj3LU¡E?v>fLS%V};VWSE`VW?;GVZs|L;G$[vV;QT}5MVds >ÜGWGLS¡SCQTS$VM`4wE?r}SCQ@GU|EuGVf8 ^ [5L;sWB
(41) E?£U"[5Eus};Q_};VWSdBj V}S">f};>5s|VwVWU"[>ÜNs([5EuG"[Q+E U$>7E`?5fVds|UE`5QTU"V7U"[V Í
(42) ÓÌ>f3|VdGU|EfV xL?;GUE`>@?E?Q s|};Q@GVZMuQTS"fVWSwU"[;QT?U$[Vr>f?VW{zN@EVW?;stE>f?;QM9s|};QfGVr[5EHG$[Eus?>fS$Q+MM4Qfs"s|>G$EuQTU"VdN EU"[ÀME?Vds|VdQTSCG$[/>fSU$S"L;s|U"{S"VW_E`>@?´wVWU"[>ÜNsË8 p VN5>U"[5Eus IR?>T E?U"[;QTU+B¤s>.M`>@?´Qfs U"[V s|};QfGV7EuswS"VMuQTU|EfVM4>N5Vds|UdB U"[VrQT}}S">+5E`7QTU"VZL5MU|E{zN@E`wVW?;stE>f?;Q+ME?5EEdQTU|E>f? EMMs|U|EMM%3;V Q7QT?;QT@VdQT35MVGWQ+MuGL5MuQTU|E>f?=8~>fS"VW>TfVWSdB¢354 GWQTS"VxL5MM4 G"[>5>RstE?ZU"[V7s|};QfGVU"[;QTU% VE?RfVdsU|ERQTU"VfB V[>f}¢V9U$>S"VdN5L;GVstEf?5E|ÀGWQT?5U|M4 U$[V%ME?VdQTS"{zQ+MfVW3SCQZG>5s|UCs[5EM`Vs|UEMM1QE`?5UCQ+E?5E?ZTM>f3;Q+MzB
(43) QT?;N xÅQ@s|U,Qfs|45}U">@U|EuGTBÜG>@?RfVWS$fVW?;GVf8 YS"VW@E>fL;s >fS"IQ+M>f?U$[VvME?Vdsv V Q_S"V G>f?;stEuN5VWS|E?qE?;G$M`L;N5Vds <1SCQ_fQT?;N.]
(44) VWR4 CbdefcfeÜ [>7}S">f};>5s|VE?5EEE?E`?vQI5{zN@EVW?;stE>f?;Q+Ms|L3;s|};QfGVfB¢[5EuG$[rE?;G$ML;N5VdsU"[V9sU"VWVW};Vds|U%N5Vds"GVW?5U N@ES"VdGU|E>f?=81^ [VS"VWQ+E?5E?I5{"b,N@ES"VdGU|E>f?;s QTS"V U"[V,sU"VW};s'xS$>fU"[V IR{"b }S$VWfE>fL;s >fLU"VWSjEU"VWSQTU|E>f?;sW8 PfVWVQ+Mus|>;B¢x>fS,V;QT}5MVfB=»¡VW??5EusQ_?;Nr^'LS"?VWSCbdef±ÓÒfCB;»E>f?eÌÍ^ÎWÏÑÐbdef±TÉBÜ~EVMVQT?;N < QT?5U"S"VMM Cbdefc@e5CB1QT?;N E?;s|>fV CbdeKÒTc5C8 ^F[VsÀ;SCs|UwE?5E`E`WVdsZQ G>f?R@V Ô@L;QfN5SCQTUEHG7>@?Qvs|L3;s};QfGVZ3R4 QfNN@E?;B=QTU¡VdQfG$[rEU"VWSQTU|E>f?=B
(45) QT?KVÜU"SQfVdGU">fS¡U"[;QTUEus¡?>fU%N5VW};VW?;N5VW?5U>f?U"[VVREus|U|E?rs|L3;s};QfGVf8 ^ [VW4U$[RL;s7}S">T@EuN5V QvL?5Ex>fS" xSCQTVW >fS$I£x>fSZQ£ EuN5V G$MuQfs"s7>_x9G>f?TL5QTU"VvN@ES"VdGU|E>f?;sW8À^ [V s|VdG>f?;NE?5E`E`WVds¡U$[V>f3|VdGU|EfV¡xL?;GU|E>f?r>TfVWS¡QfS|EuN7>TxÉRµfefc}¢>TE?RUCsËB;fVW?VWSQTU"VdNwxS">f Qx>fLS"{ N@EVW?;stE>f?;Q+MsL3;s|};QfGVf8r^ [5Euss|L3;s|};Q@GVEusN5VUÀ;?VdN£L;stE?KU"[V¤sU"VWVW};Vds|UN5Vds"GVW?5UN@ES"VdGUE`>@?=BU"[V DVWU">f? N@ES"VdGU|E>f?=B QT?;NKU| >r>@U"[VWSCsN@ES"VdGUE`>@?;s[5EHG$[QTS"V7G>f35E`?;Q_U|E>f?;s>TxU"[VU| >Z}S"VW@E>fL;s s|U"VW};sW8 6 };QTS"U|EuGL5MuQTS7x>fS" >Tx%U"[Vds|VEuN5VdQfs7[;Qfsw3;VWVW?TEfVW?3R4PRQ@QfNCb+efefµ5%x>fSU$[Vs>TMLU|E>f?>Tx ?>f?5ME?VdQTSs|4s|U"VWs >_xVÔfL;Q_U|E>f?;sW8 ³VWS"VfB¢Qs|VÔ@LVW?;GV>TxjEU"VWSCQTU"VdsQTS"V%fVW?VWSCQ_U"VdNZQfs MVdQfs|U${zs"ÔfL;Q_S"Vds s|>TMLU|E>f?;s U$>U"[V%VÔ@L;QTU|E>f?;s\E?rs|L5EUCQT35MVá¡S"4@M>Zs|L3;s|};Q@GVdsW81^ [V¡}S|E?;G$E};Q+MÊN@E|Õ=VWS"VW?;GV%Eus U"[;QTUdB@E? PRQfQfN ®s}S">f}¢>Rs"Q+MzB
(46) U"[VVW?5U|ES"Vá¡S"4@M`>Trs|L3;s};QfGVfVW?VWSCQTU"VdNEus¡L;s|VdN
(47) B
(48) [5EMVfBQ@s Vs|[;Q+MM1s|VWVfB
(49) U"[5Eus EusE`? fVW?VWSCQ+M ÔfL5EU"VL??VdGVds"s$QTS"4f86,?>fU$[VWS,V;QT}5MVfB=U$[;QTUQMHs>EusE?vU"[VG>f?5U"VU,>Tx1?>@?5ME?VdQTS VÔfL;Q_U|E>f?;s
(50) EusjU"[;Q_U=>Tx;á%QT};>fSE`?QT?;N(6VMus"s|>f?wCbdefe@¶5C8
(51) 6M`U$[>fLf[9N5VW@VM`>@};VdN(E?;N5VW};VW?;N5VW?5U|M4RB5QT?54.
(52) Ç. T> xÊU$[V¡EHN5VdQ@s,QTS$VIÔfL5EU"VstEEMHQ_S%U">U"[>Rs|V%>TxU"[5Eus };QT}¢VWSdB¢3LUU"[V%VW}[;QfsEHsFEusSQTU"[VWS,N@E|Õ=VWS"VW?5Ud8 JEfVW?QT?KE?5EU|EuQ+MVds|U|EQTU"Vw>TxU"[Vs|>TMLU|E>f?£U">KCb@8bTCB BjQT?;N Q_?KEU"VWSCQTU|E>f?£G>fL?RU+B
(53) Bs|VWU E`?5EU|EuQ+MM4KU">WVWS">¢B;Q}S">fU$>fU|4R}¢VQ+Mf>@S|EU"[Àx>fSU"[V%}S">@};>Rs|VdNÁ VWU"[>N7Ef[5U3;VQfs x>TMM`>T,s˹ bf8¡PfU">@}Z EU"[rU"[Vs>TMLU|E>f?rVds|UE`7QTU"V Á Ex G>f?5fVWS"@VW?;GVU"Vds|Us Q_S"Vs"QTU|EuszÀ;VdN
(54) 8 °8»¡VWU"VWS$E?V9QxL5MM`{SQT?Irs|L3;s|};QfGVQTU"SE
(55) Ç zB[VWS"V É8 Ç8 6¡}}S">+REQ_U"VM4rs|>TMfV%U"[V {zN@EVW?;sE`>@?;Q+M1E?5EEdQTU|E>f?K}S">f35MVW Cb@8®°5 E?5E`E`WV Å' Á $ "% SÆ ' "à ! # s|VWU Cb@8®Ç5 Á & A ' QT}}S">+5EQTU"VT1QTS"wE? Å' Á % SÆ 'Âoà ! S"VW}5MuQfG(V 73R4 % bQT?;NZS"VWU$LS"?ZU">s|U"VW}vbf8 p V,S$VxVWS U">9s|L;G$[ZQ%VWU"[>NQf*s )SÍ Ì "ÎWÍ
(56) Ì ,+-/. 0 ÓÎ21U4Ì 3 6567 98ÎWÍ ,5>fS y"PR~ x>fS s|[>fS"Ud8j^ [5Eus EusWB >TxFG>fLSs|VfBQ7L5MU|E{zN@EVW?;stE>f?;Q+MsL3;s|};QfGVQT?;QM`>@Z>Tx U"[VwL?5EHN@EVW?;sE`>@?;Q+M{zs|L3;s|}Q@GV7ME?Vds|VdQ_SCG"[ VWU"[>N
(57) 8 p VQTS"V¡E?5U"VWS"Vds|U"VdN¤E?rU"[V¡x>TMM>FE`?wEus"s|LVdsW¹ : p [;QTU EusQf>R>NZG$[>TEuGV%x>fS; $ < V )SÍ Ì "ÎWÍ
(58) Ì ,+-/. 0 ÓÎ21UÌ QTU"SE
(59) < : ³>T*N5> VN5VWU"VWS"E?VU"[( : p [;QTU,N5>w V%wVdQT?Z3R4vÁWQT}}S$>d5EQTU"VdÄ(E?rU$[V}S">f35MVW bf8®Ç5 < : 6¡S"V%U"[VWS"VVWU"[>Ns [5EuG$[ QTS"V%};Q_S"U|EuGL5MuQTS|M4rQT}}S">f}SEHQ_U"V%x>fSs|>TM@E`?Cbf8Æ°5 < : p [;QTU,GWQ_?Z Vs$Qd47QT3;>fLUU"[V9G>f?5fVWS"@VW?;GV%>Tx\sL;G"[rQwVWU"[>ÜN < : yÅx1 V%GWQT?Vds|UCQT35MEus|[ G>@?RfVWS$fVW?;GVfB[;QTU¡GWQT?Z Vs"Q+4¤QT3¢>fLU EUCsQ@s|4Rw}U">fU|EuG¡SCQTU$V < yz?rU$[5EHs};QT}¢VWSdB V%QTIfV¡}S"VMEE?;QTS"4KQTU"U"VW}Us U">QT?;s| VWS,Q+MM>_xÊU"[VdsVIÔfLVds|UE`>@?;sW8 p V EMM1L;s|VU"[V%x>TMM>FE`?Z?>@UCQTU|E>f?=8¬ >TMuN7M>T VWSQ_?;NZL}};VWSGWQ@s|V9: >@QT?ZMVWU"U$VWSCs E?;N@EuGWQTU"V fVdGU">fSCs¡QT?;NQTU$S|EuGVdsWB
(60) S"Vds|}¢VdGU|EfVM4fB=[5EMVrJ¡S"VWVWIrQT?;N?>fS"7Q+M\:F>fQT?M`VWU$U"VWSCs%N5VW?>fU"Vs"GWQMHQ_SCsW8 PRGS|E}U9s|U|4@M`VMVWU"U"VWSs%QTS"VE?;N5V sVWUCsW86´s|L}¢VWSCs"GS|E}U= ¢1E?;N@EuGWQTU"VdsQ8ÔfL;QT?5U|EU|4r[5EuG$[v>GWGLSCs%QTU U"[V 5{U"[7EU"VWSQTU|E>f?r>@S [5EHG$[ZEusVWQ+ML;QTU$VdNrQTU Á $ 8 p V M`VWU >j Á QT?;(N ?. Á BdS"Vds};VdGU|EfVM4fB@E?;N@EHGWQ_U"V,U$[V @SCQfN@EVW?RU+2B @(AÅ' Á CBfQT?;N³Vds"stEuQT?QTU"SE=B @(A AVÅ' Á CB5>TxU"[V%>f3|VdGU|EfV%xL?;GU|E>f?=8 p VN5VUÀ;?V Cbf8¿É Å $ C B' D6E Å' Á "% SÆ > $ BF' D6E @HGÅ ¤Q_?;I N ? BF' D6E @HGGÅ CB%QT?;N EMMQTIfVKL;s|V >Tx9U"[V£N5VWS|EQTU|EfV EHN5VW?5U|EU|EVds Cbf8®¶5 > ' KJ >' Á % $ QT?;N Cbf8®c5 ? ' LJ ? Á "% $ F M ^ [VZ};QT};VWSEHs>fS"RQT?5Eus|VdNQ@s%x>TMM>T,sW8vyt?PfVdGU|E>f?°ÈB V¤G>f?;sEHN5VWS7U"[VrG>f?5fVWS"@VW?;GV>Tx%U"[V Q+Mf>fS|EU"[TEfVW?vE?vU$[VE?RU"S$>ÜN5L;GU|E>f?=8 p V7N@EHs$GL;s"sQZ?5L93¢VWS>Txy$PR~ VWU"[>Ns¡E?PfVdGUE`>@? ÇB.
(61) É. QT?;N V S"VW};>@S"U>f?s|>@V }S"VME`E`?;Q_S"4?5LVWS|EuGWQ+MV};VWSE`VW?;GV%[VW?s|>TM@E`?s|>fVS"VMuQTU|EfVM4MHQ_S"fV "U Vds|UV;QT}5MVdsWBÜxS">@/U"[V¨=«,©¤U"Vds|Us|L5EU"V|s|VWV¬ >f?RQTS"U$ÌÍ ÎQÏ×ÐHB
(62) bdefef¶ÜCB@E`? PfVdGU|E>f?rÉ¢8ÊYj>5s"stE35MV VÜU$VW?;stE>f?;sWB=U$>ZU"[VGWQfs|Vds¡[VWS"VU"[VWS$VQTS"VME?VdQTS>fS%?>@?5ME?VdQTSG>f?;s|U"SQ+E?RUCs¡}S$Vds|VW?RU+B=QTS"VTEfVW? E?r>fLS,G>@?;G$M`L;N@E?KPfVdGU|E>f?v¶B5[VWS$V% VQMHs>>VÕ=VWS >fLS}¢VWSCs|}¢VdGU|EfVds¡>TxU"[5Eus¡QT?;NwxLU"LS"V >fS$I8 »)¸
(63) º
(64) ¸ ¾ e
(65) » ¸ º »ºV¿ ¹ JM>f3;Q+MG>f?R@VWS"fVW?;GV1>_xÜU"[V1Q_3;>TfV1s"G$[VWV GWQ_?%3;V1@L;QTSCQT?5U"VWVdN¡L?;N5VWS'xÅQ+ES|M4%fVW?VWSQ+MÜQfs"sL}U|E>f?;sW8 PfL}};>RsV9U$[;QTU VQTS"VQT35MVU">}5EuG$I G>f?;sVdGLU|EfVE`U$VWSCQTU"Vds Á $ QT?;N Á & A ' Á % x>fS [5EuG"[U"[VJ¡>TMuNs|U"VE?vbdefcTÉG>f?;N@EU|E>f?;s °8b_ Å $ % > KJ Å $ & A Å % > KJ Æ x>@Ss>fVZµ bfB1QTS"VZs"QTUEHsÀ;VdN
(66) B1[VWS$V EusU"[VZQT}}S">+5EQTU"VZs|>TMLU|E>f?>TxCbf8®°58 PfL}};>RsVfBxLS"U"[VWS"w>fS"VfB5U"[;QTU ! > $ KJ °8®°Ü Æ " KJ > $ " O " " $ O #&% x>@Srs|>fV µ8/^ [VW?.U"[VKy"PR~ QM`@>fS|EU"[ xS">f PfVdGUE`>@?´bEusTM>f3;Q+MM4*G>f?5fVWS"fVW?5UZU">Q s|UCQTUE`>@?;QTS"4%}¢>T' E?RU x>fS1U$[V}S">f35MVW Cbf8b_;xS">fÀQT?R4s|UCQTS$U|E?};>_E`?5Us|>¡M>f?Qfs ÅwEus 3;>@L?;N5VdNxS">f 3;VM>T QT?;N[;Q@sQ ]E`};s$G"[5EU"W{zG>f?5U|E?5L>fL;sZfSQfN@EVW?RUs|VWVfB\x>@SV;QT}5MVfB»¡VW??5EusZQT?;NPRG$[?;QT3¢VMÅB bdef±fÇÈBÜ^F[VW>fS"VW c8ÆÇ8®Ç5C8 ·,sE`?7U"[VN5VUÀ;?5EU|E>f?;sCb@8¿ÉÊQ_?;NKCbf8ƶ5CBf V%Q+4S|EU"V°È8bTÊQ@s °8®ÇÜ Å ) (Í % > ) (Í J Å $ Å ) (
(67) % > ) (Í J QT?;NZVW?;sLS"V%U"[;QTU%|°8®°5'EHs¡s"QTUEHsÀ;VdNZ354S"VÔ@L5ES|E?U$[;QTU ! > * (
(68) J °8¿ÉÈ " > )(Í " O " " O #+% M ^ [5Eus7EusS"VMVWQT?5U Q@s7?> U$[VvTM>f3;Q+M9G>f?5fVWS"@VW?;GV G>f?;N@EU|E>f?;sQ+43¢V fVWSEÀ;VdNE`?.U"VWS"7s7>Tx U"[VZE??VWS"{E`?5EEùdQTU|E>f?qxL?;GU|E>f?1Å QT?;N£EUCs7fSQfN@EVW?RUd8.PTEEMuQTSTM>f3;Q+MG>f?R@VWS"fVW?;GVrS$Vds|L5MUCs GWQT?K3;V>@3UCQ+E?VdNEx VS"VW}5MuQfGVG>f?;N@EU|E>f?°8HbT1354rU"[V6¡S"E¿|>KCbdefc@c513;QfG$IRU$SCQfG$IfE?rs|U"SQTU"VWf4 s|VWV*¬ VWS"Us|VWIQfsËB bde@±f°BKPfVdGU|E>f?bf8®Ç5C8 ytUQ+4fB[>T VW@VWSdBZ3;V.N@EÊZGL5M`UqU"> N5VdstEf? fVW?VWSCQ+M Q+Mf>fS|EU"[7sZ[5EuG$[*VW?;s|LS$VvU"[;QTUKG>f?;N@EU|E>f?;s °8®Ç5QT?;N.|°8¿ÉQTS$Vs$QTU|EuszÀ;VdNq>f?V5E`UxS$>f U"[V E??VWS%E?5E`E`dQ_U|E>f?=8,^ [5L;sWBÈEU,Q+473;V}S"VxVWSQT35MV9U$>E};>RsVVU"SCQG>f?;N@EU|E>f?;s¡>@?rU"[V(E`U$VWSCQTU"Vds fVW?VWSCQTU$VdNN5LS|E?U"[VE??VWSE?5EEdQTU|E>f?rU$>VW?;s|LS"V¡>TfVWSCQ+MM
(69) TM>f3;Q+MÍG>@?RfVWS$fVW?;GVf8 p EU"[U"[5Eus E? E?;N
(70) BsL}};>Rs|VU"[;QTU VGWQT?sÀ;?;NQT?54};>TE?5U x>fS[5EHG$[ °8®¶Ü Å ) (Í % > ) (Í J Å $ Å ) (
(71) % > ) (Í J QT?;N ! > $ ) (
(72) J °8®cÜ " > * (
(73) " O " " O #&% QTS"Vs"QTUEHsÀ;VdN
(74) 87PfL}};>Rs|VfBÍxLS$U"[VWS">fS$VfB
(75) U"[;QTU% VU"VWS"E?;QTU"VU"[VE`??VWSE?5EEdQTU|E>f?QTUQ7};>TE?5U x>@S[5EuG"[ °$ 8|Ò@ Å * (
(76) ! Å Å ) (
(77) ! Å $ "SÆ [VWS"V µ8Z^ [VW? EU%EusVdQfs|4vU$>rs|[>T U"[;QT# U, U"[5Euss"G$[VWVwEus_M`>@3;Q+MM`4G>f?5fVWS"fVW?5U%L?;N5VWSU"[V s"QTV%G>f,+?;'N@EU|E>f?;s¡Qfs s|UCQTU$VdNQT3¢>TfVf81^ [V%QfN5Q_?RUCQ_fV,[VWS$V¡EHsFU"[;QTU U"[V%U"Vds|Us|°8®¶5QT?;N°8®cÜ?VWVdN.
(78) ¶ >f?5M43¢V9s"QTUEHsÀ;VdNZQTU QT?7E?5U"VWS"VdN@EuQTU$V%};>TE?5UU">VW?;s|LS"VG>f?5fVWS"@VW?;GVf81^ 4R}5EuGWQ+MM4fB;U$[VÀ;SCsU1E??VWS"{ E`U$VWSCQTU"V}S">TfEuN5Vds%s|L;G$[ Q}¢>TE?RU¡x>fS,GWQ_S"VxL5MM4 G$[>Rs|VW?Ks|L3;s|};QfGVds%Q_?;NZE?5EEWVWSCsW8 a >@SVÈQ_}5MVfB ExjU"[Vs|L3;s|};QfGV%G>f?5UCQ+E?;sU"[Vs|U$VWVW};Vds|U"{zN5Vds$GVW?RUN@ES"VdGU|E>f?ZQT?;NU"[VFE`??VWS E?5EEdQTU|E>f?Zs|UCQ_S"UCsj354 };VWS|x>fS"E?ZQME?Vds|VdQTSCG$[E`?U"[5Eus,N@ES"VdGUE`>@?=B;U"[VS"Vds|L5MU|E?À;SCs|U E??VWS"{ùEU"VWSCQ_U"V9s"Q_U|EuszÀ;Vds%|°8®¶5QT?;N °8®c581PTEEMuQTS|M4fB¢Ex1U"[Vs|L3;s|};QfGVG>f?RUQ+E?;sQ7z>N@E|À;VdN¢ U$S"L?;GWQTU"VdN5{zDVWU">f?rN@ES"VdGUE`>@?Q_?;NZU"[V E`??VWS¡E?5EEdQTU|E>f?vs|UCQ_S"UCs354}¢VWS|x>@S"E?Q(ME`?VdsVdQTSCG$[ZE?rU"[5EusN@ES"VdGUE`>@?=BU"[Vs"QTwVG>f?;G$ML;stE>f? EHsU"S"LVf8 » '½&¹
(79) ¹g¿») ¸ $ ?ºV¿ ?¸¹ p V¤G>@?;stEuN5VWSEUE};>@S"UCQT?5U%xS">fQZ}SCQfGUEHGWQM };>_E`?5U>TxfEVWÀU">S"VÔfL5ES"V7U"[;QTU $ G>@?RUCQE`?;sQTU M`VdQ@s|U,U| >G>f}¢>f?VW?RUsWB : Q@SCQfN@EVW?RU${S"VMuQTU"VdNrN@ES"VdGUE`>@?=Bs|L;G$[rQfs ! > BU">VW?;G>fLSQTfV%TM>f3;Q+MG>f?R@VWS"fVW?;GVfB;QT?;N : QDVWU">@?{S"VMuQTU"VdNN@ES"VdGU|E>f?=B7s|L;G"[ Q@sKEf[5Uv3;VG>fw}LU"VdN.3R4QU"S$L?;GWQTU"VdN5{zDVWU">f? VWU$[>ÜN
(80) B U">rVW?;G>@LSCQTfV7xzQfs|UQfs|45}U">@U|EuGG>f?5fVWS"@VW?;GVfB EU"[s"Q+xVWfL;QTSNsU$>Q@GWG>fL?RUx>fS E?;N5VUÀ;?5EU"VW?Vds"sW8 ¯ x¤G>fLSCs|VfB¡U"[VdsV G>f}¢>f?VW?RUsZ}5MuQ+4 Q IfVW4S">TMVKE?N5>ff{ùMVWU"S$L;s|U"{S"VWTE>f?qVWU"[>NsKs|VWVfBx>fS VÈQTw}5M`VfB7Yj>T VMMzBZbdeKÒTµ5C86%NN@E`UE`>@?;Q+M¤G>f}¢>f?VW?5UCsK[;Q+fVU"[VQfN5Q_?RUCQ_fV>TxVW?5MuQTS"_E`?.U"[V s|L3;s|};QfGVKs|VdQTSCG$[VdN
(81) B13LUwU"[VrN@Eus"QfN5Q_?RUCQ_fVZ>TxE?;GS"VdQfsE`?£U"[VZ>TfVWS"[VdQ@NsE?s|>TMfE?£U"[V $ { N@E`wVW?;stE>f?;Q+MFsL3;s|};QfGVE?5EEdQTU|E>f? }S">f35MVWr8%yt? U$[5EHss|VdGU|E>f?=B
(82) V9G>@?;stEuN5VWSQ_S|E>fL;s¡};>Rs$stE35M`V FQ+4s >Tx\G$[>5>RstE?U$[V%VW?5MHQ_S"fVdN7EU"VWSQTU"VdNZs|L3;s|};Q@GV354¤G$[>R>5stE?¤s|L5EUCQ_35M`VG>f?T|LRQTU"VN@ES"VdGU|E>f?;sË8 ¶ » ¸ V½
(83) ¹ º ?¼&¿ ¸)¹ 6,?QT}}¢VdQ+ME`?G$[>TEuGV >TCx $ Q+4%3;V >f3UCQ+E?VdN354}5EuG"I@E?U"[V G>TML?;s>_Cx Q@sQ¡s|VWU>Tx ? $ { G>f?TL5QTU"VrN@ES"VdGU|E>f?;sWB Vds|}¢VdG$EHQMM4 Ex%U"[Vds|VrN@ES"VdGUE`>@?;sQTS$VfVW?VWSQTU"VdN 3R4QKG>f?TL5QTU"VW{fSCQ@N@E`VW?5U "<JVWU$[>ÜN
(84) 8 yz?Z}SCQ@GU|Eus|V>f?V% >fL5MuNU45}5EuGWQ+MM4Z}S"VdG>f?;N@EU|E>f?À;SCs|Ud8 PfL}};>Rs|VU"[;QT;U ? Eus};>RsE`UE`@V9N5VUÀ;?5EU"Vf8 ]
(85) VW
(86) U Á % 3;V%U"[VÔfL;QfN5SQTU|EuG¡>N5VMÅB Ç8bT Á $ "% ' Å $ % J > % CJ ? $ Æ >TxÅ= Á % QT3;>@LU Á 8^ [V}S"VdG>f?;N@EU|E>f?VdN7G>f?TL5QTU"VW{fSCQ@N@E`VW?5U1wVWU"[>ÜN¤s|VWVfB+x>fSVÈQ_}5MVfB ³Vds|U$VW?VdsQT?;NPfU|EVxVMÅBjbdef¶@°QT?;NJ,>TML3rQT?;NZ]Í>RQT?=B
(87) bdef±feÈBPfVdGU|E>f?£bdµ8®Ç5'Eus Q_?7E`U$VWSCQTU|EfV¡VWU"[>N [5EuG"[7Qd43¢VKL;s|VdNU"> GWQMHGL5MuQTU$V U$[VsQ+MMVds|UZQ+MLVv>_xÇ8bT8yzUwEHs7 VMMI5?>?U"[;QTU7U"[V s|>TMLU|E>f?=B BU">U"[5Eus}S$>f35MVW/EusU"[VDVWU">f?rN@ES"VdGU|E>f?=8 6 " Ì 1 ,5 Í ,5?Ì
(88) Eus¡L;s|L;Q+MM4 QT?rVdQ@stEM`4E`?5fVWS"UE`35MVQ_}}S">+REQTUE`>@? U$> ? 8 p Vs|[;Q+MM E`?;sEHsUU"[;QTU [;Qfs¡Q7L?5Ex>fS"M`43;>fL?;N5VdN G>f?;N@EU|E>f?K?RL3;VWS+8^F[V 5{U"[rsU"VW}K>Tx1U"[V}S$VdG>f?{ N@E`UE`>@?VdNG>f?T|LRQTU"VW{@SCQfN@EVW?RUVWU"[>N N5VWU$VWS"E?VdsU"[VZs|Q+MMVds|UQM`LVZ>_xÇ8b_ E`?U$[Vá¡S"4@M`>T s|L3;s|};QfGV%s|};QT??VdN7354U"[VfVdGU">@SCs ! $ $ A ? z A > "!$# 81< >f?TL5QfG4}S">f};VWS$U|EVds VW?;s|LS"V¡U"[;QTUVdQfG$[s|L;GWGVds"sE`@Vs|U$VW}Q+43;V,QfGWG>@}5MEHs[VdN73R4Q¡L?5EQTSEHQ_U"V%E?5EEdQTU|E>f?Z>TxjÇ8bT E`?U"[VKN@ES"VdGU|E>f&? % !(' U$[VrfVdGU">@SC)s *% ! QTS$V G>f?T|LRQTU"VrQ_?;NQTS"VS"VdGLS"S"VdN xS$>f sU"VW}U">£s|U"VW}=8 PTE`@?5EÀGWQ_?RU|M4£xS">f>fLS}¢>TE?RU>Tx@E`VWBU"[VÀ;SCs|U9sL;G"[£fVdGU">fS++B % A > 8Zyt? V;QfGU QTS|EU"[VWU|EuGU"[VwVWU"[>ÜN£ >fL5MuN£U"VWS$E?;QTU"V7 EU"[U"[VrDVWU">f?N@E S"Vd' GU|E>f! ?=B B1Q+xU"VW S QTU>RsUIÉ s|U"VW};sWB3LU¡?5LVWS|EuGWQ+MS">@L?;N@E`?7VWS"S">@SCs VW?;s|LS"VU"[;QTU U"[V%VWU$[>ÜN3;VW[;Q+fVds >@S"V¡ME`I@VQ_?7E`?KÀ;?5EU"V E`U$VWSCQTU|E>f?sVWVr: VEuN
(89) B%bdeKÒRbT8v~r>@S"VW>TfVWSdB'x>@S9U$[VMuQTS"@VW{zs"GWQ+MV GWQfsVfB VZ >@L5MHN£3¢VZL?RFEMME?U"> G>f?;stEuN5VWSQT?54R[VWS$V9G$M>Rs|VU">ÉKEU"VWSCQ_U|E>f?;sW8D>f?VWU"[VMVds"sWB
(90) U"[V%wVWU"[>ÜN¤Eus%QT?ZVUÕ=VdGU|EfVU"VdG$[?5E`ÔfLV x>fSGWQ+MuGL5MuQTU|E?ZQT}}S">+5E`7QTU|E>f?;s U">U$[VDVWU">f?ZN@ES"VdGU|E>f?=BVds};VdG$EuQ+MM4ZExÊQf>5>ÜNw}S"VdG>f?;N@EU|E>f?VWS EHsL;s|VdN>fS ExM>.QfGWGLSCQfG4Zs|>TMLU|E>f?;sQ+43¢VU">_M`VWSQTU"VdNs|VWV^'>TE?5UdB=bdef±ÈbfB»¡VW93¢> ÌÍ'ÎWÏÑÐB'bdef±f°B QT?;Nr»¡VW3;>7QT?;NPfU"VE[;QTL;Bjbdef±fÇÜC8.
(91) c. yz?.U"S"L?;GWQTU$VdN5{zDVWU$>f?VWU"[>NsWBs|VWV»¡VW3;>1ÌÍÎWÏÑÐHBbdef±f°5B,U$[VvVWU"[>N>TxG>f?T|LRQTU"V fSCQfN@EVW?5UCsEusKL;s|VdNqU">fVW?VWSCQTU"V£QT}}S">+REQ_U|E>f?;sU">U"[V DVWU">@?*N@ES"VdGU|E>f?=8 ^F[V S"VdsL5M`UE`? s|VdQTSCG$[ N@ES"VdGUE`>@?=B BÜEHsVW}5M>T4fVdNZFE`U$[5E`?vQME?Vds|VdQTSG"[xSCQTVW >fS"Ix>fS¡s|>TMfE?7L?;G>f?;s|U"SQ+E?VdN >f}U|EEdQTU|E>f?}S$>f35MVWsW8 ³FEf[5M4 QfGWGLSQTU"V QT}}S$>d5EQTU|E>f?;sU">U$[V DVWU">f?.G>fS"S"VdGU|E>f?QTS"V >f?5M4*?VWVdN5VdN.U$> Q@GWGVM`VWSQTU"V£U"[VG>f?5fVWS"fVW?;GV£>TxU"[V EU"VWSCQTUE`>@?E?U"[V£?VEf[R3¢>fLS"[>5>ÜN >Tx¤Q ME`E`U¡};>_E`?5UdB
(92) QT?;NZGS"L;N5V¡E}S">TfVWwVW?RUCsFL};>f?ZU"[VsU"VWVW};Vds|U${zN5Vds"GVW?RU%N@ES"VdGU|E>f?Ks|LKʤGVVMus|VW[VWS"Vf8 a LS"U$[VWS">fS"VfB+354%>f?5EU">fS|E?¡U"[V fSCQfN@EVW?5U>_xÜU"[V >N5VMÈQTUjVdQfG$[9s|U$VW}>Tx;U"[V G>f?T|LRQTU"VW{fSQfN@EVW?RU VWU"[>N
(93) B VGWQT?rN5VdG$EuN5V[VW?rU">wU"VWS"E?;QTU"V%U$[V¡E`U$VWSCQTU|E>f?=8 p [5EMVZs|L;G$[ QT?£QT}}S">RQfG$[v[;Qfs(L?;N5>fL3U"VdN@M4£}S">TfVdNvs|L;GWGVds"sxL5M E`?£}SCQfGUEHGVfBj V?>fU$VU"[;QTU QZG>f?;stEuN5VWSCQT35MVrQTw>fL?RU¡>Tx >fS"I7Eus¡E?5fVds|U"VdN
(94) B'E? s|L;G$[ QZs"G$[VWVfBÍE`?GWQ+MuGL5MuQTU|E?vQT?ÁWQ+fVWSCQT@VdÄ N@ES"VdGU|E>f?QT?;N U"[;QTU9L;G$[£>Tx,U"[VwE?5x>fS$QTU|E>f?£TMVdQT?VdN >f? U$[VQ+4EHss|L3;sVÔfLVW?5U|M4vEf?>@S"VdN
(95) 8 p VKUCQTIfVZU$[V }¢>TE?RUZ>_xfEVW U"[;QTU7N@E`S$VdGU|E>f?;sZfVW?VWSQTU"VdN354U$[V G>f?T|LRQTU"VW{@SCQfN@EVW?RU7VWU"[>N QTS"V>_x E?5U"VWS"Vds|U(x>@SU"[VÔ@L;QfN5SCQ_U|EuG>N5VMzBj3LUEf[5U9Q+Mus|>K3¢VM>GWQ+MM`4£>Tx E`?5U"VWS"VdsUx>fS%U"[V7U"S"LV >f3|VdGU|EfV¡xL?;GU|E>f?=8 p V%U"[5L;s }S">f}¢>Rs|VU">G>f?;s|U"S"L;GU>fLS EU"VWSCQTU$VdNrs|L3;s|};Q@GV%xS">fÀU"[V9sL3;s|};QfGV E?RfVdsU|ERQTU"VdN3R47U"[VG>f?T|LRQTU"V%@SCQfN@EVW?RUVWU"[>N
(96) 8 p V¡E?RU$VW?;NZU">E?;G$ML;N5VU"[V%x>TMM>T E?;¹ : ^F[V%}S"VdG>f?;N@EU|E>f?VdNKs|U"VWVW}¢Vds|U"{zN5Vds"GVW?5UN@ES"VdGU|E>f?=B % ' ! A > ' : 6 ?RL3¢VWS>TxK>fU"[VWSG>f?T|LRQTU"VN@ES"VdGU|E>f?;sWB % ! BrN5VWU"VWS"E?VdN23R4 U"[V}S"VdG>f?;N@EU|E>f?VdN G>@?TLRQ_U"VW{fSCQfN@EVW?5UVWU"[>N ' QT?;N : ^F[V%>@VWSCQ+MMU"S"L?;GWQ_U"VdN5{zDVWU">f?rN@ES"VdGU|E>f?=B 8 p V?>fU$V U$[;QTU1U"[V[À;SCs|U>Tx
(97) U"[Vds|V%G>f};>@?VW?RUCs'Eus N5VdstEf?VdNwU">%VW?;G>fLSCQ_fVTM>f3;Q+M=G>f?5fVWS"fVW?;GVfB [5EMVU$[VMuQfs|UvFEMMZVW?;s|LS"VU"[;QTU G>f?5fVWS"@VW?;GV>ÜGWGLSCs£QTU QxÅQfsU Qfs|45}U">fUEHG£SQTU"Vf8 ^ [5L;sWB Q+MU"[>fLf[ VrG>fL5MuN£E?;G$ML;N5Vv>f?5M4 U$[V s|U"VWVW}¢Vds|UN5Vds"GVW?5UZN@E`S$VdGU|E>f?QT?;N£?>fUDVWU">f?>@Ss|>fV >fU"[VWS,G>@935E?;QTUE`>@?=BU"[V9G$[>TEuGV9Q_3;>TfVs|VWVWsF>Rs|U }S"L;N5VW?5Ud8 yz?U"[V?VU,U| >s|L3;sVdGU|E>f?;sWB¢ V EMM N@EHs$GL;s"sU$[V9G$[>TEuGV9>_x1U"[V9G>f?T|LRQTU$VN@E`S$VdGU|E>f?;s%QT?;N U"[VstEWV>TxU"[V(EU"VWSCQTU"VdNZsL3;s|};QfGVf8 » ¿ ¾ e
(98) » 4¾»¸ V½
(99) ¹ e¼&¿º
(100) ¾K¹V¿»¸ PfL}};>RsV,U"[;Q_UdB+E?¤QfNN@EU|E>f?7U">%U"[V(z}S"VdG>f?;N@EU|E>f?VdN¢1s|U"VWVW}¢Vds|U"{zN5Vds"GVW?5UQT?;N7zU$S"L?;GWQTU"VdN¢DVWU">f? N@ES"VdGU|E>f?;sWBZ V Eus|[ÀU">E?;G$ML;N5V N@ES"VdGU|E>f?;sU$[;QTU QTS"V ? {zG>f?T|LRQTU"V E`?2U"[Vs|L3;s};QfGVf8 6MU"[>@Lf[U"[VWS"V¡QTS"V >fU"[VWS}¢>Rs"stE35EME`UEuVdsWB V}S">@};>Rs|V U| >s|};VdG$E|À$ G Qd4sjU">G$[>R>5s|V U"[V,G>f?T|LRQTU"V N@ES"VdGU|E>f?;sW87^ [VstE}5MVds|UG"[>TEuGVEusFL;s|U%U$>UCQ_IfVU"[V+À;SCs|U wfVW?VWSCQTU"VdN zVÈG$ML;N@E?;Bj>TxG>fLSCs|VfB U"[V%s|U"VWVW};VdsU"{zN5Vds"GVW?5UFN@ES"VdGUE`>@?
(101) C86M`U$VWS"?;QTU|EfVM47>f?V,E`@[RU }S">f};>5s|V,G$[>R>RsE`?U"[V ¡[5EuG$[RQ+fV U"[V%MuQTS$fVds|U%N5VdGS"VdQfs|V(E`?KU"[V>N5VMÅ8 ¸ };VWS|EVW?5UCs%s|L@fVds|UU"[;Q_U,U"[5EusFEusSCQ_S"VM4r>fS$Vs|L;GWGVds"stxL5M U"[;QT?ZU"[VstE}5MVWSs$G"[VWVf8 6,?>@U"[VWS};>5s"stE35EMEU|4EusU">E`?;G$ML;N5VQ_}}S">+REQTUE`>@?;s xS">fÀU"[VVÜU"S$VWVVEfVW?;s|};Q@GVdsWB;U$[;QTU Eus U"[V,s|VWU>_xVEfVW?5fVdGU">fSCsj[5EHG$[G>fS$S"Vds|};>@?;NU">%U"[V,sQ+MMVds|U1QT?;NMuQTS"@Vds|UVEfVW?RTQ+MLVdszS"VdGWQ+MM ? Eus%Qfs"s|LVdN};>RsE`UE`@VN5VUÀ;?5EU"VT8,yt?rU"[VL?}S"VdG>f?;N@EU|E>f?VdN£GWQfs|VfB¢VEfVW?R@VdGU">fSCs¡G>fS"S"Vds};>f?;N@E?ZU"> MuQTS"fVKVEfVW?5Q+MLVdsrG>@S"S"Vds|}¢>f?;NU">vU"[VvN@ES"VdGU|E>f?;sQ+M>f? [5EHG$[U"[VxL?;GUE`>@? Q_?;N<J w>ÜN5VM G"[;Q_?fVZ>Rs|USCQT}5EuN@M4f8yz?U$[V}S"VdG>@?;N@E`UE`>@?VdNGWQ@s|VfBU"[VW4 sU|EMM¡[;Qd@VU"[Vrs$QTV7VUÕÍVdGUx>fSU"[V U"SCQT?;sx>fS$VdNw>ÜN5VMz8 PTEEMHQ_S|M4fB,U$[>Rs|V Q@s"s|>G$EHQ_U"VdN EU"[s|7Q+MM,VEfVW?RTQ+MLVdsZS"V ;VdGUZU$[VvzU"SQT?;stx>fS"VdN¢s|};QfGVE? [5EuG"[qU"[V DVWU">f?N@ES"VdGU|E>f?qEus7MEIfVM4U">3;V£s|VW?;stEU|EfVQT?;NG>f?RU$S|E3LU|E>f?;sxS">@ U"[5Euss|};QfGV QTS"V7?VdGVds"s"QTS$4vEx%SCQT}5EuN}S">@fS"Vds"s(EusU">K3;VZ7QfN5Vf8 ^ [5L;s3¢>fU"[s|VWUCs>Tx¡fVdGU">fSCsQTS$VS"VdQ@s|>f?;QT35MV GWQT?;N@EuNQTU"VdsFx>@S,s|L3;s|};QfGVN@ES"VdGU|E>f?;sW8.
(102) Ò. <MVdQTS|M4fB1U$[V¤GWQ+MuGL5MuQTU|E>f?>_x,U"[Vds|VZs|};QfGVds(EusfVW?VWSCQ+MM4 }S$>f[5E35E`UE`@VM`4V};VW?;sE`@VfB 3LU9U$[VW4 Q+43;VQT}}S$>d5EQTU"VdN3549N@ES"VdGU|E>f?;s\fVW?VWSCQTU$VdNN5LS|E?U$[V,<J }S$>ÜGVds"sFs|VWVfBTVW;BfYQ_S|MVWU"UdB5bdef±fµB <1[;QT}U"VWSb+Ç5C8 ¯?V}¢>Rs"stE35EME`U|4Eus U">w>f?5EU">fSU"[V:Qd4@MVEf[HÔfL>fUE`VW?5UCs % !J ? $ % ! Ç8®°5 % !J % ! QT?;NE?;G$ML;N5V%U"[
(103) V % ! [5EuG$[TEfVS|Eus|V,U$>%U"[V>RsUVÜU"S$VWV,:Q+4@M`VEf[sÔ@L>fU|EVW?RUsW8 ¯ x'G>@LSCs|VfBfU$[Vds|V fVdGU">fSCs%Q_S"V?>fU%VEfVW?5fVdGU">@SCs¡>Tx ? B
(104) 3LU%U"[VW4L;s|L;Q+MM4G>@?RUCQE`?vstEf?5E|ÀGWQT?5U9G>@?RU"SE`3LUE`>@?;s¡E? U"[VVU"S"VWV%VEfVW?;s};QfGVdsW8 $ »?¿ ¾ e» V½ * ? ¾ e¼&¿ ¸ ¿»)¸ ^ [VrG"[>_EHGVZ>_xs|L3;s|};QfGVrN@EVW?;sE`>@?EusG$MVdQTS|M4 E`w};>fS"UQT?RU+8v^ [V¤sE`w}5M`VdsU¤G$[>TEuGV7EusU">sÀQT? L}};VWS3¢>fL?;N 7>@? U"[5EusN@EVW?;stE>f?3¢Vx>fS$VU"[V7G>f}LUCQTUE`>@? }S">GVWVdNswz};VWS$[;QT};(s ' bdµBjs|VWV PfVdGU|E>f?KÉCBQT?;NZU$>s|VMVdGU U">3;VU"[VsQ+MMVWS,>Tx QT?;NZU$[VU">fUQ+M=?RL3;VWS>Tx <J N@ES"VdGU|E>f?;s s"QT}5MVdNrN5LSE`?wU"[V 5{U$[r< J EU"VWSQTU|E>f?8Ë S"VdGWQ+MMU"[;QTU U"[V<J}S">GVds"s Q+43;V%U"S$L?;GWQTU"VdN7QT?;N U"[RL;s xVW VWSU"[;Q_? 9N@ES"VdGUE`>@?;sQ+47[;Q+fV%3;VWVW?KG>f}LU"VdN
(105) 8 6 >fS$V s|>f}[5Eus|UEHGWQ_U"VdNQT}}S">5QfG"[ EusZU">£U"S"4U">N545?;QTEuGWQ+MM4*s|VMVdGUZU"[VvstEWVv>Tx9s|L3;s};QfGV 3;Qfs|VdNqL};>f?.U"[V£?VWVdNsr>_xU$[V 5{U"[qE`U$VWSCQTU|E>f?=8 a >fS7E?;s|UCQT?;GVfB(ExU"[V³Vds$stEuQT?EusS"VMuQTU|EfVM4 VMM{zG>f?;N@EU|E>f?VdN
(106) BEUKEusvS"VdQ@s|>f?;QT35MVU"[;QTU£Qs|L3;s|};QfGV7QfN5VL}.xS">f U$[Vs|U"VWVW};VdsU"{zN5Vds"GVW?5U QT?;NtU"S"L?;GWQTU"VdN¢DVWU">f?£N@E`S$VdGU|E>f?;s EMMs|LKʤGVf8yx"Bj>f?£U"[V>@U"[VWS[;QT?;N
(107) B\U"[V¤³Vds"stEuQT? EusEMM`{ G>f?;N@EU|E>f?VdN
(108) BjxLS"U"[VWSs|L3;s|};Q@GVN@ES"VdGU|E>f?;sU">rQfGWG>fL?5U¡x>fS%U"[VVÜU$S"VWVVEfVW?RTQ+MLVdsQTS"VMEIfVM4 U">}S">TfV%3¢VW?VUÀG$EHQMÅ8 6 stE}5MV£[VWLS|Eus|U|EuGK >fL5MuN3;VKU">w>f?5EU">fSZU"[Vv:Q+4@M`VEf[0ÔfL>fUE`VW?5UrQfs7U"[V£<J EU"VWSCQ_U|E>f? }S">ÜGVWVdNsË8 ^ 45}5EHGWQMM47U"[V^À;SCsUFsVdQTSCG$[N@ES"VdGU|E>f?= B % ' ! #A > B_x>@S1U"[V<JE`U$VWSCQTU|E>f?7 EMM G>f?RUQ+E?rG>f};>@?VW?RUCs >TxQ+MM=VEfVW?5fVdGU">fSCs QT?;Nw[VW?;GV9s>fV,G>fw};>f?VW?5UCs >TxU"[>5s|VG>@S"S"Vds|}¢>f?;N@E? U">vU"[V7MuQTS"@Vds|UVEfVW?5Q+MLVdsW8^ [VE? ;LVW?;GV >_xU"[VZVEfVW?5fVdGU">@SCsG>fS"S$Vds|};>f?;N@E?U">KU"[VMuQTS"fV VE`@VW?RTQ+MLVdsEus'S"VdN5L;GVdNE?U"[V sL3;s|VÔfLVW?5U1N@ES"VdGU|E>f?;s % A Æ M M M BfQT?;N%U"[5Eus'EusjS"V ;VdGU"VdN(E?QS$VdN5L;GU|E>f? E`? U"[V9:Q+4@MVE`@[YÔfL>@U|EVW?RUN5LS|E?ZU"[VdsVEU"VWSQTU|E>f?;sW8%^ [5Eus¡VUÕ=VdGUEus¡S"VW@VWSCs|VdNrQxU"VWS%Qw?RL3;VWS%>_x E`U$VWSCQTU|E>f?;sWB¡[VW?U"[VE? ;LVW?;GV£>Tx9U"[VMuQTS"@VWSZVE`@VW?RTQ+MLVdsZS"VdQT}}¢VdQTSCsW8 yzU7 >fL5MuNU"[5L;sZs|VWVW s|VW?;stE35MVU">S"VdG>@SCNZU"[V(EU"VWSCQTU|E>f??RL3¢VWSdB B
(109) QTU[5EuG$[rU"[V:Q+4fMVEf[HÔ@L>fU|EVW?RU¬À;SCs|U%s|UCQ_S"UCs U"> E`?;GS$VdQfs|V QxU"VWSEUCsE?5EU|EuQ+Ms|VÔ@LVW?;GV >_xN5VdGS"VdQfs|VdsË8 6%s VZI5?>ÀU"[;Q_U9 VZU"[VW?[;Q+fVrs$QT}5MVdN VE`@VW?RfVdGU$>fSCs G>fS"S"Vds};>f?;N@E?U">3¢>fU"[vÁ$MuQTS"fVdÄQT?;NrÁWsQ+MMuÄVEfVW?5QM`LVdsËB5EU1Eus QT}}S">@}S|EuQTU"VU">s|VWU ' 8 H¿¸'¸
(110) º .¿¸¿ ®¿
(111) ¹V¿»¸ 6s V[;Q+fVs|UQTU"VdN
(112) B= V73;VMEVWfVZU"[;QTUU"[VWS"VQ_S"VQ?RL3¢VWS>Tx[5Ef[5M4 VUÕ=VdGU|EfVZQ+Mf>fSE`U$[s¡x>fS U"[VZL?;G>f?;s|U"SQ+E?VdNE?5EEdQTU|E>f?>TxQxL?;GU|E>f?>Txs|VWfVWSCQ+MTQTS|EuQT35MVdsW8yt?;N5VWVdN
(113) B EU >fL5MuN£?>fU 3;VL?S"VdQfs|>@?;QT35MV9U$>¤s"Q+47U"[;QTUU$[V}S">f35MVW [;QfsVUÕ=VdGU|EfVM4r3¢VWVW?s>TMfVdNKs|>M>f?rQfsN5VWSE`TQTU|EfVds QTS"VQ+QEMuQT35MVf876¡>f?ZU"[Vw>Rs|Us|L;GWGVds"sxL5M VWU"[>NsQTS"VU"[V7DVWU$>f?{ùME`I@V¤s|VdG>@?;N5{zN5VWS|EQTU|EfV VWU"[>Ns Q_?;NU"[V¬À;?5E`U$VW{zN@EÕ=VWS"VW?;GVQ_?;Ns|VdGWQ_?RU VWU"[>Ns[5EuG$[S"VÔ@L5ES"V¡>f?5M4fSCQfN@EVW?5UCs |s|VWVfBTx>fS VÈQTw}5M`VfB
(114) »¡VW??5Eus,Q_?;NKPRG$[?;QT3;VMzBjbdef±fÇB¢JEMMÌÍ'ÎWÏÑÐB
(115) bdef±Èb,>@S a MVWUCG"[VWS+B=bdef±KÒ@C8 p [VW?ZG>f?;stEuN5VWS|E?7U"[V¡E?5E`E`dQ_U|E>f?r>TxCb@8¿ÉCBT V¡?>fU"VU"[;Q_U U$[VGWQ+MuGL5MuQTU|E>f?Z>_x'N5VWSE`TQTU|EfVds >Tx¤Å S"VÔ@L5ES"Vds=U$[>Rs|V>TxÅj8 p V1s|VWV1U"[;Q_UU$[V GWQ+MuGL5MuQTU|E>f?>TxRU$[V s|VdG>f?;NN5VWS|EQTUE`@VdsCb@8®c5S"VÔ@L5E`S$Vds stEf?5E|ÀGWQT?RUM`4>fS"V}S$>ÜN5L;GUCsÍE?R@>TMfE?( U$[;QT?N5>U"[VÀ;SCs|UN5VWS|ETQTU|EfVds\Cbf8®¶58=^ [RL;sËBd V >fL5MuN }S"VxVWS U">¡L;s|V VWU"[>Nsj[5EuG"[VEU"[VWS >f?5M4 S" VÔfL5ES"V S"VMuQTUE`@VM`4xVW³Vds"stEuQT?{fVdGU$>fS}S">N5L;GUCsWBfs|L;G$[ Qfsz}S"VdG>f?;N@EU|E>f?VdN QT?;NU"S"L?;GWQTU"VdN¢G>f?T|LRQTU"VW{@SCQfN@EVW?RU%wVWU"[>ÜNsËB
(116) >fSsVdGWQT?RU¡VWU"[>NsWB
(117) [5EuG$[.
(118) ± 3 L5EMHN£L}QT}}S">+5EQTU|E>f?;s¡U">U"[Vs|VdG>@?;NvN5VWS|EQTUE`@VdsxS$>f fSCQfN@EVW?5UCs¡E?vU$[V {zN@EVW?;stE>f?;Q+M s|L3;s|};QfGVQfs U"[VW47}S">GVWVdN
(119) 8 ^ [V>5s|UFEHN5VM4L;sVdNs|VdGWQ_?RUVWU$[>ÜNs QTS"V U"[>Rs|V E?7U"[VG>f?R@Vw¬ S">T4N5VW?G$MHQ@s"s>Tx
(120) };>RsE`UE`@VW{ N5VUÀ;?5EU"VQT}}S">+5E`7QTU|E>f?;sWB@>Tx=[5EuG"[7U"[V%¬ a JPVWU"[>N[;Qfs U"[V3¢Vds|U S"VW}LUCQTU|E>f?QTRQ+E?sVWVfBfx>fS VÈQ_}5MVfB;»¡VW??5Eus Q_?;NZPRG$[?;QT3;VMzB=b+ef±fÇ5C8 p [5EMV%U"[VWS$V Eus s>fV%G>f?RU$S">TfVWSCs|4QfsU">[VWU"[VWS U"[VWS"V QTS"V3¢VWU"U"VWS?>f?;G>f?5fV s|VdGWQT?5UL}
(121) NQTU"Vdss|VWVwx>fS%V;QT}5MVfB < >f??®ÌÍuÎWÏÑÐHB1bdefeÈbfBá¡[;Q+MxzQT?ÖÌÍuÎWÏÑÐB bdefefÇÈBÊQ_?;N ¬ 45SCNÖÌÍÎWÏÑÐHB bdefefc5B VxVWVM,U"[;Q_U9G>f?5fV s|VdGWQ_?RUVWU"[>NsQTS"V7>Rs|U?;QTU"LSCQM E?Q ME`?VdsVdQTSCG$[=BQfsw>f}};>RsVdNU$>QvU"S$L;s|U"{S"VWTE>f?=B¡G>f?5U"VÜU+8 PfL;G$[VWU"[>NsZs|UCQTS$U EU"[Q };>RsE`UE`@VW{ N5VUÀ;?5EU"V9s|VdG>@?;N5{zN5VWS|EQTU|EfVQT}}S">+5E`7QTU|E>f?rQT?;NwfVW?VWSCQTU$VQs|VÔ@LVW?;GV>TxjQTU"S|EuGVds [5EuG$[ZEEuG U"[V%GLS"QTU$LS"VE?7U"[V%s|};QfGV¡>TxN@E`S$VdGU|E>f?;ss|VdQTSG"[VdN
(122) 8^'SCQfN@EU|E>f?;Q+MM4fB;U$[V<1[>_M`VdsIR4xzQfGU">@SCsj>Tx=U"[V s|VÔ@LVW?;GVQTS$V L}
(123) NQTU"VdNQ@sU"[V EU"VWSCQTUE`>@?}S">GVWVdNsW8 p V ?>Ts|[>TU"[;QTU3L5EMuN@E?Q%f>5>N9sUCQTS"U|E? QTU"SE7E?r>fLS¡GWQfs|V¡EusVdQ@s|4f8 a ESCs|U|M4fB1s|L}}¢>Rs|V7U"[;QTU EusQfN5V7L} }LS$VM`4£>T;x ? {zG>f?T|LRQTU"V7N@E`S$VdGU|E>f?;sW8v^ [VW?£U"[V VÈQ@GUs|VdG>f?;N5{zN5VWS|ETQTU|EfVKQTU"SE ? EHs7N@EuQTf>f?;QM,3;VdGWQTL;sVr>Tx,U$[VrG>f?TL5QfG4 Q_?;N>fS$VW>@VWS EUCs%N@EuQTf>f?;Q+MVW?5U"S|EVds¡ EMM [;Q+fV3¢VWVW? GW Q+ MuGL5MuQTU"VdNvN5LSE`?ZU$[VG>@?TLRQ_U"VW{fSCQfN@EVW?5U,}S$>ÜGVds"sË8^ [5Eus QTU"SE=BTU"[VW?=B+EusQf>R>NsUCQTS"U|E?%QT}}S">+5E`7QTU|E>f? ' EUCs <1[>TMVds|I54%xzQfGU">@SCs=QTS"V U"S|E@EHQM;U">N5VWU$VWS"E?Vf8 a LS"U$[VWS">fS"VfB@U"[5Eus G"[>TEuGV%VW?;s|LS$Vds1U$[;QTU1U"[V[À;SCs|U5Ô@L;QfstE{zDVWU">f?Zs|VdQTSG"[ZN@ES"VdGU|E>f?7Eus\EHN5VW?5U|EuGWQ+M=U"> U"[;QTU@VW?VWSCQTU"VdN7354E`?5EEE?rU$[VIÔfL;QfN5SQTU|EuG%>N5VM1ÇÈ8bT=E?U"[VQ_?5Ex>TMuN Á $ % s|VWVfB JEMM[ÌÍ ÎWÏÑÐHB=bdef±ÈbfBRs|VdGUE`>@?rÉ;8®±È8®Ç8bT8 D>TÀs|L}};>RsVU"[;Q_U EusQfN5V73R4vQTL@VW?RUE`?vQs|VWU>T;x ? {zG>f?T|LRQTU$VN@ES"VdGU|E>f?;s3R4 U"[V>TfVWSQ+MMÊU"S$L?;GWQTU"VdN5{zDVW U" >f?KN@E`S$VdGU|E>f? 8^ [VW?=B
(124) U"[VVÈQfGU%s|VdG$ >f ?;N5{zN5VWSE`TQTU|EfV7QTU"S|Er[;Qfs QT?rQTS"S$>[VdQfNsU"S"L;GU"LS"V%FE`U$[ZU"[V¡MVdQfN@E? b(3R4 bs|L3QTU$S|E¤3¢VE`?rN@EuQT@>f?;Q+MQT?;N U"[VZS"VWQE`?5E?vS$>/QT?;NG>_M`Lw?VdQfs|4vU">K>f3 U Q+!E?=8 ^'>v3; VZ !}S"VdG$Eus|VfB\Ex VrN5VW?>fU$VU"[VZS$VdstEuN5L;Q+M ? $ % > x>TMM>FE`?7U"[VU"S"L?;GWQTU"VdNZG>@?TLRQ_U"VW{fSCQfN@EVW?5U}S">GVds"s3R 4 BU"[V¡MuQfs|U%G>TML? >TxU"[V%S$VÔfL5ES"VdNZs|VdG>@?;N5{zN5VWS|EQTU|EfVQ_U"S|EEu4s LJ ! > C8^ [RL;sËB>f?;GV%QTRQ+E?ZU"[5Eus Q_U"S|E }S">TfEuN5Vds Qf>5>ÜNsUCQTS"U|E?QT}}S">+REQ_U|E>f?E?ZU"[;Q_UEUCs<1[>TMVds|I54xzQfGU">fSCsQ_S"V,VU"S"VWwVM`47G"[VdQT}7U"> G>f}LU"Vf8%~>fS"VW>TfVWS+B;Qfs3;Vx>fS"VfB
(125) U"[V+À;SCs|UÔ@L;QfstE{zDVWU">f?vN@ES"VdGU|E>f?KTEfVds¡U"[VE?5EL >Tx1U"[V >N5VM=Ç8bT¢E?U"[V QT?5Ex>TMuN Á $ % 8PTEf?5E|ÀGWQT?5U|M4fB;QfsjU$[V U$S"L?;GWQTU"VdN5{zDVWU">f?N@ES"VdGU|E>f?wEus E?U"[V¡s|L3;s|};QfGVfB@U"[5Eus&À;Ss|U ÔfL;Q@stE{zDVWU$>f?N@ES"VdGU|E>f?7EusU$[RL;s\U"[V,s"QTwVFQ@sU"[V U"S"L?;GWQ_U"VdN5{zDVWU">f? N@ES"VdGU|E>f?=8 ¦ ½
(126) ºV¿ ¾
(127) ºV¿ ¸)¹ p V sUCQTS"U=U$[5EHsjs|VdGU|E>f?3R4¡E?5fVds|U|ERQ_U|E?;B+xS$>f*Q ?5LVWS|EuGWQ+M};>TE?5U>TxfEVWBTU"[V\E};QfGUj>TxÈN@E|Õ=VWS"VW?5U s|L3;s|};QfGV%stEWVds>@?U"[V,G>f?5fVWS"@VW?;GV >_xÍU$[VVWU"[>N
(128) 8j6s\U"[V }S">f35MVW
(129) A Eus\};QTS"U|EuGL5MuQTS|M4 VUʤG$EVW?RUM`4.s|>TMfVdNL;stE?y"PR~ E? G>@};QTS|Eus|>f? EU"[qU"[V N5VxzQTL5MUrfVWSCsE`>@?>Tx¥+¦,§\¨1©
Documents relatifs
Smoothed extreme value estimators of non-uniform point processes boundaries with application to star-shaped supports estimation.. Nonparametric regression estimation of
dv hqfrxqwhuhg iru h{dpsoh lq urexvw frqwuro ghvljq1 Iru kljk glphqvlrqdo sureohpv/ wkhlu h!flhqf| fdq eh frqvlghudeo| lpsuryhg e| uhvruwlqj wr frqvwudlqw sursdjdwlrq1 Lq wklv
Plus particulièrement, nous verrons comment les caractéristiques influençant l’issue de la compétition larvaire (intervalle de temps entre deux pontes, sexe des
Au cours de la réintervention pour CVB découvert sur pièce de cholécystectomie, des lésions résiduelles (au niveau du lit vésiculaire, des ganglions ou de la
Angiodysplasie gastrique diffuse : à propos d’un cas et revue de la
La prise en charge orthophonique de l’enfant atteint du syndrome de microdélétion 22Q11..
The Crank-Nicolson method is a well known method of order 2 but is fully implicit and one may prefer a linearly implicit method like the relaxation method introduced in [10] for