Du transport de particules à l'optimisation globale sous contrainte d'équations aux dérivées partielles
66
0
0
Texte intégral
(2)
(3)
(4)
(5)
(6)
(7) "!
(8) !
(9) #$%'&( *)+ ! , !- ,. 02/ 14365870:9;7 0=/ <0=>@? 0A/ 0=>CBED;0:F*G8D;>*0 HIJ K!- NL M
(10) O QP RS %UT
(11) %UT VXWCZ\Y [^]`_;a`]cb ZeY d fg_;b@h Z\Y ij_;b@]`kml Z\npo W W a`]`kml ZKY Z\n <q3rDs?@0=>\D;0:t80vujw Z\Y [^Z\i xXyzZ|{U}U}U~ 4
(12) ( M | zmz m | m z z z m, m z m z z¡¢=K£ ¤X z m ¥ £ ¦" £ §m z K ¨8©«ªª+¬s®°¯«¯6±c©²q³«$´«qµ¶®«·¸³'q¹ ¶-®2·8º¼»qª+µ½q¬A¾qª+´2µ¿qµ½®À¯«¯rÁº¼²¿®«·¸º¼©«¬sµÃº¼¬´2ª+µ ·¸±Àº¼qÁ¼Áµ½q·E¶¡q¹ ´«º¼²¿®«ÁÂqµ8Ä Å Æ i WÆ n@]`b@] ÆÈÇ w ljÉÊl yzË ÌÎÍÏ^ÏÐ=Ñ6ÒcÓqÔKÑ«Õ Ö 7q×r>'Ù=Ø 3r5Ú<(ÛD;ÜE3658<AÝ`Þß3r>;<q027cB ×2?@3r5870:àÎ×2?+5Ú3r>;×6tmF;0=<¢áâ7`?+<(0? .,0°/ ?+5Ú0=7<qãäå×r758<æ äå02ç\ç×àâ025Â??+×r×r>*1é×6è çK5Ý`êâ>;5ëB
(13) 027q<5Â?Àìj3rí î=ìKB½×rè <ç@ìt ×rè ã Ö 5Ú>;tÚ×r>;F;æ . ×r7Ùðï;Ùòñ;3K0=>;×rD*0=7óÝcôÀàâõ¢ôÀágï;×rÙ2t8×ìEæ öÃ÷KÍ=øCùûú Í^ÒÓqÔKÑÊÕ Ö 7 02/ F 0=/ 758Ùðüâ02Ùòñ@?¡ÝcêÎ>;5ëB
(14) 0=7<q5ë? 0A/ äÃ58027q7q0A0? . ×67q5Ú0AÞßD*7q5Ú0=æ . 3rñ*×r1 0=F . ×r<q1 3rD;F*5Ýcêâ>*5ÂB;0=7q<5Â? 0ó/ ý 3rD;tÚ3rD;<0:ôôqôÀæ þ 5ëÿ×r> . 3rñ;×r1 1 ×rF;5Ý`êâ>;5ëB
(15) 027q<5Â? 0 / . 3r>@?@9E02t8tÚ58027ÎôôÀæ þ 02>;3r5ë?óäX0=7`?+ñ;×r1 0§ÝcêÎ>;5ÂB;0=7<q5ë? 0ó/ äÃ5Ú0=77q0A0? . ×r7580ðÞßD;75802æ t85ëBE58027ÎäÃ5Ú7q3r>*>;0=×rDjÝcêÎ>;5ëB
(16) 0=7<q5ë? 0:/ ä5Ú0=77q0ð0? . ×67q5Ú0AÞßD*7q5Ú0=æ.
(17) RSM
(18) %'N ( OQPSRR:TJUVTWXPSYZWX[]\_^V\_`aTJbZTcdTR Tfe R:Pg^V`XT$Uih ^VjZbZ^VklYmTlnoR:PgjqpZrS`XcfPgYZ`aW:WXcf^sTfjt\_^VuZktYZTbZTdpmYZ^sW Rrv\XwyTfx WXTtn UVPg^VjbQh{Tfz \_`aT|UV^Vj}Tde rS^s`aTln~rSYZ`Xr0Tde \lTe gYZ^VbDTe rrgjt\\XPgYZ\&pmrg`UsTSPyYZz \bZTfW&rgpZpmUs^VcdrS\_^VPgjZWbZTfW&RrS\_wDTde R:rg\X^sktYZTfW bDTde cdPSYZgTf`X\$UVPg`aW bh YZjWX\XrgSTrx Uih $Tfe `XPSWXpmrg\_^VrgUVTTdjSg}UVYZ\PSz \klYmT bZT pPgYZ`aWaYZ^st`aTEbZrgjZWUsrSPg^VT bZTfWTfe klYmrg\_^VPgjmW&cd^Vj}Tde \X^sktYZTfWnlh rS^}bZPSjZccwZPg^VWa^in\XTdUDYZjZT3pZrS`X\X^scfYZUVTbZrgjZWYZjvZ^VUsUVrg`abEp}Tde `a^VPlbm^sktYZTtnbh rSUsUVTd` bDTde cdPSYZt`X^V`bZT&jZPgYmgTdrSYZ3WaY_Td\XWMR:rg\Xw}Tde R:rS\_^VklYmTdWrgY$g` T(e bZTdWNrgpZpZUV^Vcdrg\X^sPSjZW^VjZbZYZWa\_`a^sTfUsUVTdWNPgY$RvTde bZ^VcdrSUsTfW `aTdjZcfPgjt\_` Tfe TdW$Tde rSjZR:Pg^VjZWn_T\_^VTdjmWM^scf^Dr:x rgbZ`aTdWaWaTd`RTfWMpZ`aTdR:^VTd`aW`aTdR:Tf`Xcf^sTfRTfjt\_W"rx OQUsrSYZbZTrg`abZPgWTf\ `XrSjcd PS^sW"¡PgUVWaT(pPgYm`MR h rSPg^V`D¢£PS`XR Te rx Uih]Tfe cdPgUVT(bZTUsr`a^sSYZTdYm`R:rS\_wDTfe R:rg\_^VktYZTl ¤ T%`aTdR:Td`acd^VT `argjcf Pg^VWy¥(YZ~PS^sWnd Td¦t¦rMNTf^s\X\_rgrSjZR rg§ ¦t^gTf\y¨ rS`Xc%©mcwZPtTdjZrSYZTd`yktYZ^lPgjt\yrScdcfTdpZ\lT e UsrN\rgz cwmT bZT(`argpZpPg`a\_TfYZ`ª«UsWPgjt\Tde SrgUVTdR:Tdjt\%TfY U«h Tfl\X`fTdz R:TMgTfjt\_^VUsUVTdWaWXTNbZTUVT(¢£rg^V`XTbZrgjZWbZTfWDbDTde UVrg^VW}R h rSYZ\_PS`X^VWargjt\ r:x WaPgYZ\XTdjZ^V`TdjJg¬S¬g®YQh ^VUsWWaPg^VTdjt\^Vcd^y`aTdR:Td`acd^Tfe WDpPgYZ`\XPgYZ\cfTdUVr T%WaPgYZwZrS^s\XT}TfjZWXYm^s\XT}`aTdR:Td`acd^VTd`¯Us^Vt^sTf`°}^V`aPgjZjZTfrgY&ktYZ^lR h rbZTdpZYm^sWQbZT}jmPgRm`XTfYZWXTfW°rSjZjDTfe TdW°\XPgY_PSYZ`aW TfjZcd¤ PSYZ`XrSQTNe r(x pPgYZ`aWXYm^st`aT}bZrSjZWoUsr(gPS^sTDklYmTyh rrg^VWcwZPS^sWa^VTDTf\R h rrS^sbDT(e r(x b}T«e _PSYZTd`WXTfWojZPgR|Z`XTfYZpZ^±Tdx STdW ª«UyTfWX\pPgYZ`R:PS^yYZjJR:PlbyTdx UVTWacd^VTdjt\X^suZktYZT&R:rS^sWrSYZWXWa^²wtYZR:rg^Vj pZ`fTdx W}rSPg^V`}`aTdSrg`ab}Te bZY$cdPS\lTMe bmTdW¢£YZWtTde TfWngbZTdWSPg^V\_YZ`aTdWnbmTdWrt^sPSjZWDPSY3bZTfWpm`XPS\_wyTfx WXTfW}TfjHWa^sUV^VcdPgjmTdWn h rg^TdYUih Tdjtt^sTbZTbZPgjZjmTd`$YZjWaTdjZW$R:Pg^VjZWJR:rg\lTde `a^sTfUr³x R:r-`XTfcwZTd`acwZT TfjR:TpZUVPgjmgTdrSjt\ bZrSjZWHUVTdW rSpZpZUV^scfrg\_^VPgjmWMRvTde bZ^VcdrSUsTfWl´r`XTfjZcdPSjt\_`aT&rgTdc ¤ TdrSj `tTde bDTfe `X^Vc¡Td`a~TfrgY³rx cdTWX\XrgbZT&r-Tde \lT(e bDTde cf^sWa^sSTll©ZPSj Tfjl\XwZPgYmWX^VrgWaR:TWacd^VTdjt\_^VuZktYZTtntWXr:t^VWX^VPgj$bZYJbZPgR:rS^sjZTWaPgjt\\_PSY_PgYZ`aWpPgYZ`R:Pg^²Ymj$` Tfe grgU%r:x pZrS`X\XrggTf` ¤ h rS^TdYUsTDpZUsrS^sWa^V`ybZT}`aTdjmcdPgjt\X`XTf`y^sUSµrMktYZTdUVktYZTdWrgjZjDTde TdW°rgY&¶N^VTd\XjZrgR ndYZj"%Tfe \lTfe `XrSjbZTDUih rt^srS\_^VPgj3·£cfPg\lT e Wa^sR|YZUVrg\_^VPgjmW¸s¹XnSjZPgj3pmrgW ¤ PSwZj3¨ rScOQrg^Vj3R:rg^VW^ _rgjH¨ PgwmrgR:R:rgbZ^« ¤ TNR:T`tTfe grSUsTbZT(jZPSWDbZ^VWacdYZWaWX^VPgjmW WaYZ`}\XPgYZWDUsTfWDWaY_Tf\_WcwZrgktYZT¢£PS^sWktYZTMjZPSW}cwZTfR^VjZWWXTN`XTfcd`aPg^VWXTfjl\ ¤ TMWXYm^sWD\_`fTdx WDwZPgjZPS`tTe ktYh ^VU~rS^s\%rScdcfTdpZ\lT e bZTpZrS`X\X^scf^spTd`Mrx R:PgjN_YZ`aµl ¤ TWaYZ^VWo\_`fTdx WowZPSjZPg`tT|e Tfe grSUsTfRTfjt\ktYZT ` Tfe b}Tde `a^Vc%ºNTfcwl\n¨ PgwmrgR:Tdb|¨ rgWaR:PgYZbZ^ Tf\}TdjZPS^s\} Td`a\_wZrSRTWaPg^VTdjt\%R:TfRZ`aTdWDbZTNR:Pgj&_YZ`XµtTdjmPg^V\Tde \Xrg^V\%Tdj pZrg`a\_^VcdYZUV^VTd`}bDT«e r&x pZ` Tfe WXTfjl\ UVPg`aW}bmT R:r\_wyTfx WXTt¨ Tdz R:TNWa^S_TjQh rS^pTdYm\(Tdz \_`aTNpmrgWrg\X\_Td^Vjt\DUVTdWrS\_\_Tfjt\_TdWktYh ^sUpZUVrcf rg^V\}TfjHR:Pg^ rx cdT(RPSR:Tdjt\DPSY rSYHcfPgYZ`aWbZTR:PgjJpZrg`acdPSYZ`aWnSWar|pZ` Tfe WXTfjZcdTr:x RPSj|_YZ`Xµ RT&pPgYmWXWaT3rx p~PSYZ`XWaYZ^Vt`XT(bZrgjmWcdT&WaTdjZW ª«jDTde t^s\XrgZUVTdR:Tfjl\nTdj Tfe cd`a^srgjt\ocdTfW}`aTdR:Td`acd^VTdR:Tfjl\XWn_h rg^DTde \lTe rgR:TdjDT&e rx RT`aTdpmUsPSjZgTf` bZrgjZW}cdTdYmTfe cd`a^s\XW pPgYZ`DR:r"\_wyTdx WaTlmOh]Tfe \_rg^V\%^VUmµ:rH»"rgjZWnYmj3WX^]Tfx cdUVTlnYZjmT Tde \XTd`ajZ^V\lT%e ¸OQTdpTdjZbZrSjt\ngPgYZ\X`XTMpmrgW}R:rSUmbZTp~PS^sjt\_W cfPgR:RYZjmWybZrgjmW°R:TdWgPyYmz \_WyWacd^VTdjt\_^VuZktYZTfWnih µ(`XTf\_`aPgYZSToYZj"cdTf`X\Xrg^VjjZPgR|Z`XT bQh rSR^V\_^Tfe Wt_rgR:rg^VW°bDTde R:Tdjt\X^sTfW Tf\bmPgjt\yh TdYmWZ^sTfjHTdWaPg^Vj pmrg`a¢£Pg^VWn_Tp~TfjZWaTrx rgWacdrSUing¼MrSpZwZrmTd§ UTd\¨ rgyl¥h rSYZ\_`aTdWWaPgjt\DrSpZpZrS`XYZTfWDrSY bDTde \_PSYZ`bZTdWcdPgYmUsPS^s`aWbZTOQwZTdrSUsTf`XTf\&cdPgR:R:T:cdTfUsUVTdW"bQh bZTdU«n²½QrgwZrS`n~¥(`X^VWaWn `tTde bDTfe `X^Vclnm¾&rgTd`n©ZTf`XS^sPn OQwZ`a^VWX\XPgpZwZTtn `argjZc¦ Z^sTfjHUVYZjDTle nl¶ rgUTfe `X^VrnSNUVTdtrSjZbZ`ar OQPSRR:T3»rSjZWpZUVYZWM\Pgz \n_T&`XTfR:Td`acd^VT(R:rWaPtTdYZ`pPgYZ`NRh rgPS^s`ZrSUs^VWtTe UsT&cwZTfR:^sjJbZTfW Tde \XYZbZTfWrg^VjZWX^ ktYZT(R:Pgj3pZrSpZr\_PgY_PgYZ`aWDbm^sWap~PSjZ^VZUsT(R:rgUVg`tTe WaPgj rSgTfjZbZr"bZT(R:^sjm^sWa\_`aTlS¨ PSj WaTdYZU`XTfg`aTd\DTdWa\DktYZT}_TjmT pZYm^sWaWXTpZrSWpZ`aPgum\_Td`(bZTWXTfW`aTdUVrg\X^sPSjZW(p~PSYZ`YZjZ^VUVUsTf\bZTR:rg\XcwbZT\_TfRpmW(Tfj\XTdR:pZWPgYR$Tdz R:TpPgYZ` pPgYZSPg^V`"Tdjt\X`XTf`rgY³l^VUVUsrSgT³Tfe \_rgpT3bZY³½PSYZ`bZT `argjZcfTlVsy¿}j ¢£rS^s\nyUVr WaTdYZUVT `aTdUVrg\X^sPSjvbZPgjt\_THpZ`aPguZ\XT rS~PSjZbZrgR:R:Tdjt\g`rgz cfT:r:x UVYZ^yTf\rgTdc(pZUVrg^VWX^V`TdWa\cdTfUsUVTbZT&½wDTfe `fTdx WaTNTd\War:b}Tde UV^Vcd^VTdYZWaTcdYZ^VWX^VjZTt ¨ rJR:rgR:rSjjQh TfWX\"wDTde UVrgWpZUVYZW"bZT cdTR:PgjZbmTRrS^sW_TWXrS^sW&ktYZTbZT Uih TdjZbm`XPS^s\&PyYx TfUsUVT3TdWa\n²TdUVUsTWaTd`ar wZTfYZ`aTdYZWaTbZT&jZPgYmWgPg^V`\_PSYZW`tTde YZjZ^VW ¤ TUVYZ^ybDTfe bZ^VT(cfTRvTde R:Pg^V`XT(ktYZ^yUVYZ^ybZPS^s\\Xrgjt\ ¥(T|\XPgYZ\XTdW(UsTfW`XTfjZcdPSjl\X`XTfWnZUsr$pZUVYZW^sR:pPg`a\_rSjl\XTjh TdWa\(Tdj¢£rS^s\(pZrSWWacd^VTdjt\_^VuZktYZTR:rg^VWcfTdUVUsTktYZTMh rg^ ¢£rS^s\XT3rgTfcR:r cwDTde `a^sT:¥}_rgR:^VUsr²©Zr QTde jDTde `aPgWa^s\lTle nZWXrS`XrSjZbZTfYZ`&bhVrgz R:T3Td\WXPSjvrgcdcfTdjt\&rgjmgUVrg^VW&WXPSjl\&Ymj TflTfR:pZUsTpPgYZ`NRPS^il¿DUsUVTR h rRJTfz RT¢£rS^s\rS^sR:Td`½wZ^Vrg^VWnt`XµSrgj Td`a`XµTf\UsTfWMpPg^Vl`aPgjmWnSclh TdWa\bZ^V`XTtsV PSYZ`umjZ^s`n_h TdRm`XrSWXWaT}\X`fTfx Wo¢£Pg`a\R:PgjpTd\_^V\ PgYZPgY¿}UV^srSWoklYm^ l^VTdjt\obZTjZrzÀs\X`XT·£t^VgTUih rgjmj}Tde TDg¬S¬gM¸s¹ rS^sjZWa^°ktYZTRPSjp~Tf\_^V\NcfPlcfPN^VcdPSUsrSWt¶ PSYZWTdz \_TfWMUVTdWNbmTdYZJuZUVWNbZPSjt\oh rS^°\XPgY_PSYZ`XWN`fTfz Tle l´rl^VT"pZ`aPgR:Tf\ bhÁTfz \_`aTTdUVUsT&rSTdcgPSYZWTdjZcfPg`aT\_`fTdx WUVPgjZS\_TdR:pZW.
(19)  6 ;0 Ã8 :~ Ä . Å&ÆQÇȱÉËÊSÌZÍdɱÎ~ÏQÐ SgSgggSgSgggSgSgggSgSgggSgSgSgggSgSgggS » Ñ0Ó Ò ÐÆQÔÕÓ Ò gggSgSgggSgSgggSgSgggSgSgggSgSgSgggSgSgggS Ö × ÆÔvÔvÌmØÙ gggSgSgggSgSgggSgSgggSgSgggSgSgSgggSgSgggS S Ú ÅSsÌZ*ØÍdɱ ÊgrgÈ Ó`a\_Ð^VcdÍfUVTdØWÌ Û \_Ó `arÊS_ÍdTfÎcdØ\XÉ PgÓ `aÐ3^sTfÉËWDÏq^VjJÜ ÌZrØpÉËÎTd`aÆQ^VPlÐbmÊg^sc&ÎÏrSÝQ`X`aÞ~rÆQµ:ØPgÌZ¢QÍdWXɱÎ~cfrgÏQ\_Ð \XTdg`aTdg`aWDSggSSggSSggggggSSggSSggggggSSß ßS gVgV*½wmT&´°Pg`aTdjt\XàSrgW}gggSgSgggSgSgggSgSgSgggSgSgggSßS gVg á½âP:bZTdumjZ^s\X^sPSjZWMPS¢°R:TdrSjH¢£`aTdT&pZrS\_wãgSgggSgSgSgggSgSgggSß gVg »áWXµtR:pZ\XPg\_^Vc&`aTdWaYZUs\XWPgj$\_wZT&R:TfrgjJ¢£`XTfTpZrg\XwgSgSgSgggSgSgggSß» S á rg`a\_^VcdUVTdW\_`ar_Tfcd\XPg`a^sTfWD^VjJr\XYZ`aZYZUVTdjt\äZYZ^Vb(SgSgggSgSgSgggSgSgggSßÖ g Vᯠ_Tdcd\X^sSTdWDggSgggSgSgggSgSgggSgSgSgggSgSgggSßÖ g áYZR:Td`a^scfrgU²R:PtbZTdUgggSgSgggSgSgggSgSgSgggSgSgggSßÖ g »á¨rg^VjH`aTdWaYZUV\_W3gSgggSgSgggSgSgggSgSgSgggSgSgggSßSå ȱÎ~ÇQÌZÈÎ~èQÍdɱÔvÉËéSÌZÍdɱÎ~ÏqÔ Ó ÍdêQÎyëQÐ SgSgggSgSgggSgSgSgggSgSgggSß æ ç s* ¥TfWXcf`X^VpZ\X^sPSjHPS¢cfUsrSWXWa^scfrgUgUVPgmrgUPgpZ\X^sR:^VàdrS\_^VPgjJR:Td\_wmPlbmWgSgSgggSgSgggSß VgVá¡TfjZTd\X^sc&UsSPg`a^s\XwZR:W·_¡:¹ggSgggSgSgggSgSgSgggSgSgggSß Vg á¿DgPSUsYZ\X^sPSj ©Z\X`XrS\_Tfg^VTdW·£¿D©¹³SgggSgSgggSgSgSgggSgSgggSS¬ áNbZrSpZ\_^VgTwtµtbZ`a^sb$PgpZ\X^sR:^VàdrS\_^VPgjJR:Td\_wmPlb ·ìNºN¨0¹²ggggSgSgSgggSgSgggSS¬ V*½wmT&WXwZ^V¢£\¢£`aPgRíSUsPSZrgU²\XPUVPtcdrSU}·£\_wmT&rgjZWaâDTf`\_P®YZTfWX\X^sPSjES¹gSgSgggS á½wmT&WXwZ^V¢£\¢£`aPgRíUVPtcdrgU²\XPgUVPgZrSU%·£\_wmT&rgjZWaâDTf`\_P®YZTfWX\X^sPSjH¹gSgSgggS »á½wmT&`XTfbZYZcdTfbHcfUsYmWX\XTd`a^sjZ:Wa\_`arg\XTdgµ·ì\_wZT&rSjZWaâDTf`\XP®YZTdWa\_^VPgj$»¹SgSgggS » ¡TdjZTf\_^Vc&NUVgPS`X^V\_wZR:Wâ^V\_wJrgpmpZ`XPt^VR:rg\_T(TdrSUsYZrS\_^VPgjZW"·ì¡¹SSgggSgSgggSS îá¼MTdWaYZUV\_WPSj$\XTdWa\¢£YZjZcf\_^VPgjZW-ggSgSgggSgSgggSgSgSgggSgSgggSS» îV*¼NTdWaYZUs\XWMPgm\_rg^VjZTfbH¢£PS`\_wZT&ºN¨ïR:Td\_wmPlbqgggSgSgSgggSgSgggSSî î á¼NTdWaYZUs\XWMPgm\_rg^VjZTfbH¢£PS`\_wZT&¡R:Td\XwZPtbgggSgSgSgggSgSgggSSÖ ð »ç s ÈËÎÇò ÌmèQÈDÍdÎɱÔvèÍfÉËÉËégÔvÌmÍdɱÉËégÎÌZÏ0ÍfÉËÎñÏ0ɱÍdñ:êɱòHÍdêqóHò ôãó$ÊgôãÎÏQÎ~ÐfØ3ÍfØÅ&ÌmÉËó$ϲÍdôõÐ Êgø]ÎÎØ3ÏQÐfÍ ÍfØÈ ÌmÉËÊgϲÎÍdÔvÐ ÔöDÌZÆQèQÏèQɱÊgÈËÉËÌZÊSÍfÌZÉËÍdÎɱÏÜ Ð Ó gÓt÷ SÌZÔvggèQgÈ Ó SÐ åå »VgVᯠ_Tdcd\X^sSTdWDggSgggSgSgggSgSÓ ggÓ gSgSgSgggSgSgggSå »Vg á¨PlbmTdUV^sàfrg\_^VPgj$Pg¢ ^sTd``argSJ¡`arg\X^sjZSWùgggSgSgSgggSgSgggSS »Vg »á¨rg^VjH`aTdWaYZUV\_W3gSgggSgSgggSgSgggSgSgSgggSgSgggS»S¬ » ò èQÍdɱÔvÉËégÌmÍdÉËÎÏ0ñɱÍdêÅ&ó$ôõÊgÎÏÐÍdØÌZɱϲÍdÐɱÏ0Ì Ú óúÐfèQÌZÊ Ó øiÎ~Ø3Ô Ó ëQÉËÊSÉËÏ Ó gggS»S» » Vᯠ_Tdcd\X^sSTdWDggSgggSgSgggSgSgggSgSgSgggSgSgggS»S» » á½wmT ¥R:PtbZTdUyPS¢mUsPtPtbHämPâûgggSgSgggSgSgSgggSgSgggS»Sî » »á¨rg^VjH`aTdWaYZUV\_W3gSgggSgSgggSgSgggSgSgSgggSgSgggS»å ü.
(20) ý. þ ÿ ÿ » » ò èQÍdɱÔvÉËégÌmÍdÉËÎÏ0ñɱÍdêÅ&ó$ôõÊgÎÏÐÍdØÌZɱϲÍdÐɱÏ0Ì ð óúÐfèQÌZÊ Ó øiÎ~Ø3ÊSÌZØ É±ÏëQÆQÐfÍfØÙ Sî » »Vᯠ_Tdcd\X^sSTdWDggSgggSgSgggSgSgggSgSgSgggSgSgggSî » » á½wmT&bZ`XrS|`aTdbmYZcd\X^sPSjHpZ`aPgmUsTfR gggSgSgggSgSgSgggSgSgggSî » » »á¨rg^VjH`aTdWaYZUV\_W3gSgggSgSgggSgSgggSgSgSgggSgSgggSîSî » î ò èQÍdɱÔvÉËégÌmÍdÉËÎÏ0ñɱÍdêÅ&ó$ôõÊgÎÏÐÍdØÌZɱϲÍdÐɱÏ0Ì ð óúÐfèQÌZÊ Ó øiÎ~Ø3Ô Ó ëQÉËÊSÉËÏ Ó gggSîS » îVᯠ_Tdcd\X^sSTdWDggSgggSgSgggSgSgggSgSgSgggSgSgggSîS » î á¨PlbmTdUVUs^VjZ:Pg¢Q\_wZT&wmTdrg`a\TdUVTdcf\_`a^scfrgU²rgcf\_^Vt^s\«µNggSgSgSgggSgSgggSÖS¬ » î »á¨rg^VjH`aTdWaYZUV\_W3gSgggSgSgggSgSgggSgSgSgggSgSgggSÖ » Ö ò Ífê Ó Ø Ót÷ ÌZÔvèQÈ Ó Ð gSgggSgSgggSgSgggSgSgSgggSgSgggSÖSÖ » ÖVá¯pm\_^VR^VàdrS\_^VPgj$Pg¢Qr:WX\XTdjt\WXwmrgpT&ggSgSgggSgSgSgggSgSgggSÖSÖ » Ö ¯pm\_^VR^VàdrS\_^VPgj$Pg¢Qr:ZUsrSbZTWXwmrgpT7gSgSgggSgSgSgggSgSgggSÖ ÉËÇQÈËɱÎ~ÞØÌZèêQÉ Ó SgSgggSgSgggSgSgggSgSgggSgSgSgggSgSgggSÖS.
(21) . . .
(22) _ÿ.
(23) . . J%' !- ¦ . !#". ´ ²´t¥(YZR:rgWnl¨ PtbDTfe Us^VWXrS\_^VPgjErx Uih Pg`argUbZT&U«h g`tTde Srg\X^sPSjncfrgUVcdYZU²Wacd^VTdjt\X^suZktYZTtnl¿}UVUs^VpZWaT ·_gg¹_ $. &%. m | ¦ OQ©«wZ¶ r¯6 ª+·¸´®«~·¸º¼¥©«¬sYZ®«R:Á rS'WÁ nQª+hsº¼O ´ ¥(ò[±¬m®2rg¶-WaTdº¼b²qµ PSpZ\_^VR:^sWarg\X^sPSj ^VjNYm\_PgR:PS\_^VgTTd`aPtbZµtjZrgR:^VcdWhZ^Vj0h ¯6·¸º¼¶-º Ê®«·¸º¼©«¬4º¼¬ hsnt¥t½wDTde gTfjZ^Vjn²¡& ¤ rgjZ^VgrTdbZ^V\_PS`XWnl©ZpZ`a^VjZgTf`nSpy[±ÖH·ìg¬g¬S¹X z K '(#)+*. $. &%. .. ,. 0/. -. (132. 4(#5. ð ËÚ ØÌmÏÐè%ÎØÍ:ë Ó èQÌZØÍdÉËÊSÆÈ Ó Ð N`a\ ~´¥(YZR:rgWnº: ©Qg¥(YZR:rgWn ¡PSUsWaTln~¯j3\_wZT(R:TdrSj3¢£`XTfTMpZrS\_w ¢£PS`}r|p~Tf`X^VPtbZ^scrg`a`Xrµ|Pg¢²WapZwZTf`X^VcdrSU PSZWX\XrgcfUsTfWn ©«ª+±À¬®2Ár© s·8®2·8º¼µ¿·¸º¼² ®2Á X³ òµ º¼²qµ n ¶ PSUygnlj Ög[ nSpy»gSÖg[îg¬å&·_g ¹_ N`a\_ NOrg`abZPgWnZ´¥(YZR:rgWn }¡PgUVWXT:¥(^ YZWa^sPSjrSpZpZ`aPt^sR:rg\X^sPSj¢£PS`(m^sUVUs^Vrg`abZW&â^V\_wE\_PS\_rSUsUVµ rgcfcdPS[ R:PtbZrg\X^sjmWacdrS\_\XTd`aTd`aWn ©«ª+±À¬s®«Á\© ·¸®«·¸º¼µ ·¸º¼²¿®«Á å³ òµ¿º¼²µ nm¶ PgU² nlj [±nlpl»gÖ[]»åÖJ·_gåS¹_ N`a\_» m´¥YmRrSWnº ©g¥YZR:rSWn ¡PgUVWaTln¼MTfR:rg`a¦lW}Pgj\_wmTNjZPS\_^VPgj:Pg¢²R:TdrSj:¢£`XTfTMpZrg\Xw3¢£Pg`}r"p~Tf`X^VPtbZ^Vc rS`X`arµ:Pg¢QWXpZwmTd`a^scfrgUPgZWa\_rScdUVTdWn ©2ª+ ±À¬®«Á^© ·¸®«·¸º¼µ¿·8º¼²¿®«Á X³ òµ¿º¼²qµ nm¶ PgU²ågnlj °»g[]înSp gîg©2»Sª+[±S±À¬Ög®2¬HÁ
(24) ·X© S åg¯2¹X¯6 Áº¼¿´ vN®«`a\_·¸î³« q¶´®«·¸¥(º¼²YZµ R:n ¶ rgPSWUin g¬%nl¡jmPgPUVWaîTlnlnpºNyPSR:îgPgîgåTf[ jZî^Vàdårg¬ \X^s·£PSgj¬S¬gPS¬¢D¹_\X `XrSjZWXpPg`a\(TdktYZrg\X^sPSjZWn ð Ëæ ò èQÍdɱÔvÉËÐÌZÍdɱÎ~Ï Ó Í|ÌmèèQÈËɱÊgÌZÍfÉËÎÏÐè%ÎÆQØÈ ËÌmÆÍfÎ~ÔvÎÇÉ±È Ó N`a\_Ö °´Z¥YmRrSWnm¶mºNTf`XTd`a\n Z¨ YmµlU«n ºµtZ`X^Vb R:Td\XwZPtb ¢£Pg`NrgTd`aPtbZµtjZrgR:^Vc&WXwmrgpT"PgpZ\X^sR:^VàdrS\_^VPgj ^Vj rSYZ\_PSRPS\_^VgT(^sjmbZYZWa\_`aµlVn ©«¶ ¯6ª+·¸±Àµ½®«¬s´ Áª+º¼´2µ nt¶ PgU«t»g»nSptgîSg[]gÖS$·£S¬g¬Sî¹_ N`a\ D´y¥(YZR:rgWn¶ºNTf`XTd`a\n °¨YZµtUinOQPgR:pZrS`X^VWXPSjvPg¢SUsPSZrgUPgpZ\X^sR:^VàdrS\_^VPgj R:Td\XwZPtbZW¢£Pg`bZ`XrS `aTdbZYmcd\_^VPgj ^sj3\XwZTNrSYZ\_PSR:Pg\_^VgTN^sjZbmYZWX\X`Xµtn ¿²·¸ª+±` $©«·¸µº¼¬ ©«¶ ¯6ª+·¸q± s²º¼q¬²¿ n¶ PSUiS»gîSg»npggîgS[±SÖå ·ìg¬g¬SÖ¹X Nq`a¹ \² ®2å Q¬º¼´»qª+$¥Ym·RqrS¬W´2nª+¶:µ¿·8±Àº¼ºN Tf`XTd`a\n ¨ YZµtU«n ¯pZ\_^VR:^sWarg\X^sPSjbZT¢£Pg`aR:T:TdjrQTde `aPtbZµtjZrgR:^VktYZT"rgYm\_PgR:PSZ^sUVTln nt¿}¥(q©Zcd^VTdjmcdTdWnl¶ PgU« :jZPl»ntp ggÖS[±SgH·ìg¬S¬gÖ¹X ð Ëð ò èQÍdɱÔvÉËÐÌZÍdɱÎ~Ï Ó Í|ÌmèèQÈËɱÊgÌZÍfÉËÎÏÐè%ÎÆQØÈ Ó Ð:ÍÓ Ò ÈÓ Ò ÊgÎÔvÔÆQÏQÉËÊgÌmÍdÉËÎÏQÐ N`a\_ }´y¥YmRrSWn¯&²¥(YZ`argjZbQn²"²ª«SPg`a`Xrn&y¨ PgwmrgR:R:rgbZ^«n²©ZTfR:^s[]bZTd\XTdR:^VjZ^sWa\_^Vc R:Tf\_wZPtb `aTdcfYZ`XWa^VgT PS®°pZ¯«¯6\_^VÁ R:º¼² ^s®2àf·8rgº¼©2\_^V¬Pgµ jRTf\_wZPtbZWJ¢£PS`$R|YZUV\_^VcwZrgjZjmTdU(PgpZ\X^scfrgU(uZUs\XTd`aWn $ª+¶-q±Àº¼²¿®«Áå¶-®2·8³2¶®«·¸º¼²µ:®«¬s´§®2´«¾q®«¬s² ¿´ nmpy¬S¬å[ ¬în©ZpZ`a^VjZgTf`nlTd`aUV^sjv·£S¬g¬ ¹_ N`a\_ (´%¥(YZR:rgWn¯&D¥YZ`argjmbnD&Dª«SPg`a`Xrno"}¨PgwZrSRR:rSbZ^in}}D¼MTdbmPgjt\nD©ZqTf¬R·¸q^±ÀbZ¬Tf®«\_·¸Tfº¼©«`X¬sR:®«^VÁjZ^sWa©«\_ª+^Vc±À¬l®2W Á ¡© TfjZTd©«\X¶ ^scM¯6ª+·¸UsS®«Pg·¸º¼`a©«^s\X¬wZ®2R:Á sW%²¢£º¼Pgq`}¬g²¿UVPgZ®«rS¬UZ´ PgXpZ\X¬ ^s+R:º¼¬^Vàd¿rSq\_±À^Vº¼Pg¬ j:Pg¢RYmUs\X^scwZrSjZjZTfUmPgpm\_^VcdrgUmuZUs\XTd`aWn n ¶ PSUi nlp°gå¬S[ SåH·ìg¬S¬ ¹X ð ò èQÍdɱÔvÉËÐÌZÍdɱÎ~Ï Ó Í|ÌmèèQÈËɱÊgÌZÍfÉËÎÏÐÌDÓ Ò ØÎÏÌZÆQÍdÉ ²Æ Ó Ð N`a\¬ Z"g¥`aYZTdàtn´¥(YZR:rgWng´°TfcdTf`X¢_nNbZrSpZ\_^VgTMºµtZ`X^Vb¯pZ\X^sR:^Vàdrg\X^sPSjPg¢rg^V`acd`arg¢£\ Tdjmg^VjZTMZUVrgbZTfWn rScdcdTfpZ\lTe bZrSjZW ©«ª+±À¬s®«Á\© ©2¶¯rª+·8®2·8º¼©2¬®2Á ®2¬´ X¯«¯rÁº¼¿´ v®«·¸³«q¶®«·¸º¼²µ ·£S¬g¬S¹_ 6 87 $. &%. $. %. $. %. $. %. <;>=. :9. @? 2. BA <. G;H=. F9. . G;H=. I9. C. ED @? C2. BA. J? C2. KA. =MLN>O. O. 9. <;PN. J. Q. 6 $. %. $. %. (/. R.. RT. CS. $. U=. .. &%. O. VL. @. 6 $. %. T. C. $. %. L. G;. =. .. (W MX. MX. C. Z. 6Y $. C%. [9. G;. .. \N. ]O. 9.
(25) ^. ÿ. K
(26) . ð ò èQÍdɱÔvÉËÐÌZÍdɱÎ~Ï Ó Í|ÌmèèQÈËɱÊgÌZÍfÉËÎÏÐÔ7Ó Ò ëQÉËÊgÌmÈ Ó Ð XNN±c`a`a© \\qSÁ ¶ ´´µSº¼¥¥¬ YZYmsR:R²º¼rSrSqWW¬nnS²¿ª«´jtS®«¿DTd¬`aU´ WXTXUspZrS¬ `aPg@PgYZº¼Z¬s^«UVng Tdq¨-R:±Àº¼W ¬ ¢£PgTd ` `ajZ\XwZrSTjZbZWa^sTdR|àtn YZUsrS \_^V~Pgj:¡TfPg`X¢~ZTdUVrSPlYPtnb:¯äZpZP\_â-^VR:^sjrgUrSp~`X\XPSTdWX`a^V^s\_Tf^VPgWjmnfWa^sjZPgYZ|R:Pg¢y^VWNTfrUsx Tfqcd\X¬`X¾qPtqbZ±ÀTfµ W ¤ ¢£PS`rpmrgcdTfR:rg¦gTf` tr:jlYmRTf`X^VcdrSU²R:PlbmTdU«n ¬:² ©2ª+±Àµ½´«± ¹ ´2®«²q·8º¼©2¬ 6_ $. L. %. ?. C`. $. a=. PW bX. MX. C%. (c. m £ z m ¦mK z K K . d #). \e. ËÚ ØÌmÏÐè%ÎØÍ:ë Ó èQÌZØÍdÉËÊSÆÈ Ó Ð Ó ÍÌZèQèȱÉËÊSÌZÍdɱÎ~ÏQÐÌZÆ ÷ èQØÎèQÆÈ±Ð Ó ÆQØÐ:ë Ó øiÆвÓtÒ Ó Ð }`aPtcl ¤ MOQwmrgYZSPg\©2nQº¼´¬· oX¥(±`YZ©ÀR:¯rª+rgÁÂWµ¿noº¼©«¾ ¬óQ²¿©Z©«c¬ wZqqR:±`qTd¬^VWa²¿WX Tf`nQ¨ PtbZTfUs^VjZvPS¢NWaUsrSbmTdpPgWa^s\X^sPSj0^VjqWXPSUs^Vb0`XPtc¦gTf\ R:Pg\XPg`aWn ·¸³ nt©ZrgjJ¥(^sTfgPnlj °SÖ SåSH·_gSÖ¹_ }`aPtcd N(OQTdWacdPn ´}¥YZR:rSWn%}ºNYZUV^sjQn%½} TdSTd`agjZTtn rgm^sSjZ±`Pg´ j©Z\XPtcwZrgWa\_^Vc R:PtbZTdUVW \XP \_wZT ^Vjt©«gº¼Td¬sWa· \_^VXgrS±c©À\_¯6^VPgª+jÁ µ Pgº¼©2¢¬ WXUVrg©2rS¬ qcdqcd±`YmR¬sYZ²¿ UVrg\X^sPSj^Vj:r&UsrS`XSTWXPSUs^Vb:`XPtc¦gTf\oRPS\_PS`n nZ©ZTdrS\_\_UVTln j å g»SH·XSåg¹X Ëæ ò èQÍdɱÔvÉËÐÌZÍdɱÎ~Ï Ó Í|ÌmèèQÈËɱÊgÌZÍfÉËÎÏÐÔ7Ó Ò ëQÉËÊgÌmÈ Ó Ð ¯r}±``a©Pt²¿¿cd¿» ´«gº¼´¬ @¥(µYZ© R:rgWn´¿DUgNUVrg·£PSgYZ¬S^«¬nNåS¹_pm pZUs^VcdrS\_^VPgj&PS¢°¡TdjZTf\_^Vc%NUVgPS`X^V\_wZR:W\_PMcfYZ`XT}wZTdrS`X\X~Tfrg\²pZrS\_wZPSUsPSg^VTdWn ¯r}±``a©Pt²¿¿cd¿î ´«º¼¬´@~µ¥(© YZR:rgWnZ´m¿DUUsgrSn PgpYZ^« nm ºNgPâ[] ¡S TfHjZTd·ì\Xg^s¬gc¬NågUV¹Xg PS`X^V\_wZR:Wcdrgj^sR:pZ`aPgTr pZrScdTdR:rS¦gTd`T :cd^VTdjmcdµln }`aPtcdÖ QUVPgYZàfrnm´¥(YZR:rgWn~ªd¨-h rµSTlnm¨ YZUV\_^N¯t_Tfcd\_^VgT¯pZ\X^sR:^Vàdrg\X^sPSjPS¢}r$©Z\_Tfjl\^Vjr UsYZ^VbZ[ ©Z\X`XYmcd\_Ym`XT3OQPgjt\XTdt\n ¯r±`©q² ¿¿´«º¼¬ @µ½© n pQtg¬SÖ g[]g¬ g¬ ·ìg¬g¬S¹X }`aPtc ´ ¥(YZR:rgWn jª«jlSTd`aWXTJD`XPSZUsTfR ^VjUsPtPtb UVPâ ©Z^VRYZUVrg\X^sPSjn ¯6±c©²¿¿¿´«º¼¬ +µ© ·ìg¬g¬S¹X Y6 87 $. %. $. C%. Ffg. (NULNhN. V?. 9. i;. BA. Cj. lk. Bff. F?. 9. .. i;. BA. hNhLmNhNUnCNH=KO[Won=bNhWonNH=MWpW. &j. Y6 $. C%. $. C%. $. C%. $. uC%. bX. G;hW>qr. bX. G;. ,#s WoT. ut. s W. .R.!,wvxCxCy. C. bX. G;. C C. s W .!.R,wvxCxz. C. . MX. <;{WoT. s#, ?>|. m £ § z m 4 ¦ z K m. }(#). \e. ËÚ ØÌmÏÐè%ÎØÍ:ë Ó èQÌZØÍdÉËÊSÆÈ Ó Ð Ó ÍÌZèQèȱÉËÊSÌZÍdɱÎ~ÏQÐÌZÆ ÷ èQØÎèQÆÈ±Ð Ó ÆQØÐ:ë Ó øiÆвÓtÒ Ó Ð OQPgjZ¢_ ²}tTdUVPgR:^«nt´t¥(YZR:rgWn : rSZ^sSjZPgjQnl´ rgcfklYmTdWn²¡&t´°rSTd`agjZTtngD`tTde t^sWa^VPgj3bZYJbDTde pPSz \bQh rSUsYZ[ R:^VjZTbZrgjmW UsTfW%R:Pg\_TfYZ`aWNr&x pZ`XPSp~Tf`XSPgUt WaPgUV^sbZTtnÖmTfx R:TD¤WaµtRpPgWa^VYZR7^Vjt\_Td`ajZrS\_^VPgjZrSUsTWaYZ` UsrpZ`aPgpmYZUsWa^VPgjbZrgjZW UVTdW\X`XrSjZWXpPg`a\_WWapZrS\_^VrgYZ·XgSÖ¹X _6 87 $. &%. ~(#. mm pzK ¤ . @k. *. ¼MrgpQ ²´l¥(YZR:rgWnt¨ PtbDTde UV^sWarg\X^sPSj3bZT&UVrbDTde ¢£PS`XR:rg\X^sPSj3bZTfWMp~PSUsµtRJTfx `XTfWDWaPgUV^sbmTdWnl`XrSpZp~PS`X\^Vjl\XTd`ajZT¼Mº¯[ ¥(ª«·£S¬g¬g¬¹_ $. %.
(27) . . . R * . PSYZ`"Z^VTdj cfPgR:pZ`aTdjZbm`XT3UVTdWPg`a^VTdjt\_rS\_^VPgjZW"WaYZ^Vt^sTfW|bZrSjZWcdT R Tfe R:Pg^V`XTtn^sUcdPSjtl^VTdjt\"bmT `aTdpZUVrgcfTd`UVTdW \X`XrrgYmpZ`tTde WaTdjt\lTfe W}bZrSjZWUsTfYZ`cdPSjt\_Tdt\XT(wm^sWa\_PS`X^VktYZTlSNYJcfPgR:R:TdjZcfTdR:Tdjt\bZTcdT\_`arrg^VUinSrSY R:^sUV^VTdYJbZTdW rSjZjDTfe TdW}S¬ng^sUµTfYZ\DUVT(pZ`XP_Td\DbZTjmrgTd\X\_TTdYZ`aPgpDTde TdjmjZTMºNTf`XRJTfx W}Tf\DUVTdWpZ`aPgZU]Tfx RTfW}rSWXWaPtcd^ Tde W%bmT`tTde Tfjt\_`tTde T bZrSjZWUsr:wZrSYZ\_T(rg\XR:PgWapZwyTfx `XTklYm^²Rh Pg`a^VTdjt\dTfx `XTfjt\}gTf`XWU«h±Tfe \_YZbmTbZTfWR:PlbyTdx UVTdWcd^VjDTfe \_^VktYZTdWTd\UVTdYZ`aWWX^VRYmUsrS[ \X^sPSjZWNjtYZR Tfe `X^VktYZTdWpZrS`MUVTdWMR Tfe \_wZPtbZTfWMbZT"\«µtpT"¨ Pgjt\XTHOQrg`aUsPt¨ rSUswZTfYZ`aTdYZWaTdR:Tdjt\ntUsTUsrSjZcdTfRTfjt\bZT"UVr ¢£YZW Tfe T`X^VrgjmTÖn`tTde rSUs^VWtT}e Tdj gåSnTdWa\Nrx cdTQ_PgYm`%UsTbmTd`ajZ^sTf` g`argjZbpZ`aP_Tf\ WXpZrS\_^VrgU TfYZ`XPSpDTfe TdjfUVr&uZj:bZTdW rSjZjDTfe TdWQg¬ndrgTfc}U«h TfWXWaPg`QbZTfWQR:PµSTdjZWQ^sjm¢£Pg`aRrS\_^VktYZTdWnfbZTDjmPgYZSTdUVUsTfWpTd`aWXpTdcf\_^VgTfWQt^V`XTfjt\UVTy_PSYZ`obZrgjmWQUVTdW ZYm`XTfrgYZ|bh±Tde \_YmbZTdW%bQh ^VjZQTde jZ^VTdYZ`aW UVr"pPgWaWX^VZ^VUs^V\lTe bZTMUVrgjZcfTd`%YZjmTM~PSYZcdUVTMbh Pgpm\_^VR^VWarg\_^VPgj:Tfjrg`a`X^±Tdx `aTpZUsrSj bZTWa^sR|YZUsrS\_^VPgjZWocfPgR:pZUVTdtTdWo»g¥ cfTd\_\XTDjmPgYZSTdUVUsTgPS^sTR:TD`aTdbZ^V`a^sSTdrNrSUsPS`XWQgTf`XWQU«h±Tfe \_YZbmTDTf\U«h rSRvTde UV^sPS`XrS\_^VPgj bZTfW%RvTde \XwZPtbZTdW}bh PSpZ\_^VR:^sWarg\X^sPSj:bZT\«µtp~TMUsSPg`a^s\XwZR:TdW¡Tde jDTfe \_^VktYZTdWopPgYZ`%\XPgYZ\XTdWDWXPS`X\XTdW bh rgpZpmUs^VcdrS\_^VPgjZW PSpZ\_^VR:^sWarg\X^sPSjbZYOQ bh rgYm\_PgR:PSZ^sUVTdWnPgpm\_^VR^VWarg\_^VPgjbZYE`XTfjZbZTfRTfjt\(bmT` Tfe rgcd\XTdYZ`aW(bh rt^VPgjZWnmTd\_ctsV´T RJTfz RT$\«µtp~T$bZTJpZ`aPgZU]Tfx RTfWbh Pgpm\_^VR^VWarg\_^VPgj0Wh TfWX\TdjZWaYZ^V\_TJ`aTd\_`aPgYm T3e bZrgjmWUVT$bZPgR:rg^VjZT$RvTde bZ^VcdrSUDTf\:r rS\_\_^V`tTe R:Pgjvrg\X\_Tfjl\X^sPSj bZTfpZYZ^VWR:Pgj ^Vjt\lTfe g`arg\X^sPSjrSYvWXTf^sjvbZTHUih]Tfe klYm^spT3¼M¿¯7Tfjvg¬S¬gî ²PSpZ\_^VR:^sWarg\X^sPSj bZTJbZ^VWap~PSWX^V\_^V¢£WRvTde bZ^VcdrSYZvcdPSR:RT$UVTdWWa\_Tdjt\XWPgY³UVTdWpmrgcdTfR:rg¦gTf`XWn°^sbZTfjt\_^VuZcdrS\_^VPgj0bZTJpZrg`argRJTfx \_`aTdWbmT R:PtbyTfx UsTfWjtYZR Tfe `X^VktYZTdWbh]Tfe cdPgYmUsTfRTfjt\_WWXrSjZgYm^sjZW ´rpZ`XTfR:^±Tfx `XT&pmrg`a\_^VT"bZT"cfTRvTde R:PS^s`aTTdWa\NcdPSjZWargcd` Tfe T:r3x bmTdWN\X`XrrSYZ WaYZ`NUVT\X`XrSjZWap~PS`X\bZTpZrg`a\_^VcdYZUVTdW bZrSjZW(UsT|pZ`XPSUsPSjZgTfR:Tdjt\bZTR:rH\_wyTfx WXTWXPSYZ\_TfjlYmTTdj0gSÖ DTde \_YmbZTbZYUs^VZ`aTpZrS`XcfPgYZ`aWMR:PµgTfjbZT|pmrg`a\_^V[ cfYZUsTfWobZrgjZWoYZj|`tTde WaTdrgYbh PSZWa\_rgcfUsTfWpDTde `a^sPtbZ^VktYZTdWnd\_`ar_Tdcf\_PS^s`aTdWbZTDpmrg`a\_^VcdYZUVTdWobZrSjZWoYZjTfe cdPSYZUsTfR:Tdjt\°äZYm^sbZT \XYZ`XmYZUsTfjt\ ´h rSpZpZUV^scfrg\X^sPSjHt^VWtTfe TbZrgjZWNcdTd\X\_T&bZTf`Xjm^±Tfx `XT Tfe \_YZbmT&cdPgjmWX^VWX\Xrg^V\"rx TdWa\_^VRTf`MUVT&b}Tde pQPgz \bh rgUVYZR:^sjmT bZrSjZWUVT"¢£PgjZbJrS`X`a^±Tdx `aTNbZYJpZ`aPgpZYmUsWaTdYZ`r:x pPgYZbm`XT&bZT&UVr¢£YZWtTde T`X^VrgjZTÖt´°rWaTdcfPgjZbZTpZrS`X\X^sTcfPgjZWa^sWa\_T&Tfj UVr:pZ`tTde WaTdjt\_rS\_^VPgjbZTfWRvTde \_wmPlbmTdWbh PgpZ\X^sR:^VWXrS\_^VPgj$wlµtZ`a^VbZTdWTd\bZTfWpZ`a^sjZcf^spTdWbQh±Tfe rgUVYZrg\X^sPSjZWDrSpZpZ`aPtcw}Tde TfW rµSrgjt\p~Tf`XR:^VW"bh rgRvTde UV^VPg`aTd`UsTfW"pTd`a¢£Pg`aRrSjZcdTfW&bZTdWRvTde \_wmPlbmTdW"bZT \«µlpTNUVgPS`X^V\_wmRTfWH¡Tfe j}Tde \X^sktYZTfW~´r \X`XPS^sWa^±Tdx R:TvpZrg`a\_^VT pZ` Tfe WXTfjl\XTvYZjÕcfTd`a\_rg^VjjZPSRZ`aT bh rgpZpmUs^VcdrS\_^VPgjbZTfWR Tfe \_wZPtbZTfWpZ`tTde cTde bmTdjt\_TfW³rx bZTdW pZ`aPgmU±Tfx R:TdWbh PgpZ\X^sR:^VWXrS\_^VPgjrµSrgjt\p~PSYZ`NpPg^Vjt\NcfPgR:RYZjUVTdYm`NcdrS`XrScd\dTdx `aTSUsPSZrgU°rg^VjZWX^ktYZTUVr3pZ`tTde WaTdjmcdT bZTcfPgjt\_`arg^Vjt\_TfW&Wh TdtpZ`a^sR:rSjl\WaPgYZW&UVr¢£Pg`aR:T:bh ¿D¥:¯7PgYEbh ¿}¥(}%OQwZrScdYZjEbZTcfTdW&pZ`aPgmU±Tfx R:TdW&TdWa\&pZrS` rS^sUVUsTfYZ`aW^sWaWXY$bh YZjZT&pZ`aPgmU Tfe R:rg\_^VktYZT(bh ^VjZQTde jZ^VTd`a^VTPSYHR Tfe bZ^scfrgUVTl
(28) "L !
(29) PúL
(30) K%' J ,P P
(31) ,%'!- O
(32) K! ´T\X`XrSjZWap~PS`X\QbZTpZrg`a\_^VcdYmUsTfW rJTfe \lTe Tfe \_YZbZ^Te bZrgjmWQbmTdYZ|cdPgjmuZgYZ`arg\X^sPSjZWQpZrg`a\_^VcdYZUV^±Tdx `aTdWSOQwmrgcdYmjZTbh TfUsUVTdW TfWX\bZ^V`XTfcd\_TfR:Tdjt\|PSY³^VjZbZ^V`XTfcd\XTdR:Tdjt\Us^ Tde TErx bmTdYZvrSpZpZUV^scfrg\_^VPgjmW|rQTde `aPgWapZrg\X^srSUsTfW"ktYZTh rS^TfY³U«h PtcfcdrgWa^VPgj bh rgPg`abZTf`UVPg`aWbmTDR:TdWo»(rgjZjDTde TfWbh ^VjZQTfe jZ^VTdYZ`rx ¿DN¥(©J·ìTdt[±$Tde `aPgWapZrS\_^VrgUVTl¹_n`XTfWXpTdcf\_^VgTfRTfjt\°UVr`tTde Tfjt\_`tTde T bZT&UVr:jZrgTf\_\XT(ºTd`aR$Tdx WTd\UVTbDTfe pPgz \bh rgUVYZR:^sjmT&bZrgjZWUVTdWPtPgWa\_Tf`XWbh N`a^VrgjZTÖ ´rpm`XTfR^]Tfx `XTcdPSjZuZSYZ`XrS\_^VPgj$cdPSjZWX^VWa\_T&TdjJU«h±Tde \_YmbZT&bZT&pZrS`X\X^scfYZUsTfWMpPgjZcf\_YZTfUsUVTdWWXT&bDTde pZUVrcf rgjt\DbmrgjZWMYmj `tTde WaTdrSY pDTde `a^sPtbZ^VktYZTbh PSZWa\_rgcfUsTfWMbZrSjZWMª ¼ °°OQT&R:Ptb²Tdx UVTln pZrg`a¢£Pg^VWMrgpmp~TfU Te Srgà&bZT"´Pg`aTdjt\_àPSYZ^sUVUVrg`ab$bmT ©Z^VjZrS^inlTfWX\YZjJpZ`aTdR:^VTd`pZrgWSTd`aWU«h±Tde \XYZbZTbZTUih]Tfe klYmrg\_^VPgjHbZTPgUV\_àdR:rSjH`tTde S^sWaWargjt\%UVTdWTde cfPgYZUVTdR:Tfjl\XWbZrgjZW UVrwZrgYm\_T3rS\_R:PgWapZwyTfx `XTt´°rWtTde `a^VTbQh rS`X\X^scfUsTfW `X\ «n N`a\_ }Td\ `X\X» %`tTde rSUs^VWtTde TbZrgjmW"UsT pZ`XPSUsPSjZgTfR:Tdjt\ bZTRr\XwyTfx WXTWaPgYZ\XTdjtYZT&Tdj³gSÖn Tfe \_YZbZ^VT&UVT&cdPgR:pPg`a\_TfRTfjt\MrgWaµtRpm\_Pg\X^sktYZT&bmT&cdT"R:PtbyTfx UsTTdj¢£PSjZcd\X^sPSj bZTUsr\Xrg^VUsUVT"`aTdWap~Tfcd\_^VgT bZTfWNPgmWX\XrgcdUVTdWpmrg`M`argpZpPg`a\rx UVTdYZ`bZ^sWa\_rSjZcdT&R|YZ\_YmTdUVUsT ZZ¥rSjZWNUVT"cdrSWPyYx cfT `argpZpPg`a\yTfWX\ycfPgjZWa\_rSjt\yTd\klYmT NTd\ D\XTdjZbmTdjt\°STd`aW°¬n^sUlTdWa\°bDTde R:Pgjt\X`tToe bZrSjZW N`a\_ SktYZTDUsT}cdPgR:pPg`a\_TfRTfjt\ UV^sR:^V\_TTdj\_TfR:pZWDS`XrSjZb:bh YZj3\_TfUmWaµtWX\dTdx R:TTdWa\}` Tfe g^ pZrS`}YZjZTHTde ktYZrS\_^VPgj:bZTMbZ^ YZWX^VPgjQ´TdW}rS`X\X^scfUsTfW N`a\ Tf\ N`a\_» Wh ^sjt\lTde `aTdWaWXTfjl\p~PSYZ`|UVTdYm`pmrg`a\Jr2x Tde \XYZbZ^VTd`UsT$R:PlbyTdx UVT UVPg`aWXktYZT TdWa\bZTHU«h Pg`abZ`XTHbZT rgTfc S~´h ^sjt\_`aPtbZYZcf\_^VPgjbZT|UVr$jZPg\X^sPSjbZT:UV^sZ`aTpZrg`acdPSYZ`XW(R:PµgTfj bZTdW&pmrg`a\_^VcdYZUVTdW(p~Tf`XR:Tf\(bmTbm^sWaWXPtcf^sTf` TdWa\&TdjvpZrS`X\X^scfYZUV^sTf` UVTdW"bm^ Tde `aTdjt\XW&cdrgW&PSZWaTd`a Tde WTdjE¢£Pgjmcd\_^VPgjEbZT jTftp~PSWXrSjl\&cf`X^V\_^VktYZT Tflwm^sDTe WtTfe pZrg`argjt\(UsTfWWa^s\XYZrg\X^sPSjZWPyYvx UsT Us^VZ`aTpZrg`acdPSYZ`XWRPµSTdjE\_TfjZbvgTf`XW¬ PgYEU«h ^VjZuZjZ^«°íjZPg\XTd`|klYmT U«h rS`X\X^scfUsT `X\Xî lWh ^sjt\lTde `aTdWaWXTMrx YZjZT}pm`XPSZU Tde R:rg\X^sktYZT bZTD\_`argjZWapPg`a\yU Tde mTdx `aTdR:Tdjt\bZ^ Tfe `XTfjl\XTlnSrNx WargPg^V`²U«h±Tfe \_YZbmT rSWXµtR:pZ\_PS\_^VktYZT|bmTdWTfe klYmrg\_^VPgjmWbZT:\X`XrSjZWXpPg`a\Npmrg`&wZPSRPSQTfe jDTfe ^sWarg\X^sPSjHUVPg`aWXktYZTUVTdW&WaTdcd\X^sPSjZWT :cdrScdTfW(bmT cfPgUVUs^VWX^VPgj$Pgjt\bZTfWPg`abZ`XTfWbZT&g`argjZbmTdYZ`\_`Tfx Wbm^ Tde `aTdjt\XWrx pTd\X^s\XT Tde cwmTdUVUsTt hc c. Uc. c. c. . [. U. $. %. $. %. $. C%. . . %. $. . $. ID. $. . %. . ED. $. . C%. M. 0. 0. ED. ut. ED. %.
(33) . . . ´rNbZTfYZt^±Tfx R:TDcfPgjZuZSYZ`arg\_^VPgjQnTdjmcdPg`aT}pmUsYZW pm`XPtcwZTDbZTDU«h rgpZpZUV^Vcdrg\X^sPSj^VjZbZYZWa\_`a^VTdUVUsTtndcfPgjZWa^VWX\XTDTfjU«h±Tfe \_YZbmT QTde jDTde `argUVTMbZTdW\X`Xr_Tdcf\_Pg^V`aTdWbZT&pZrg`a\_^VcdYmUsTfW&·ìWXPSUs^VbZTfWPgY$Us^VktYZ^sbmTdW¹QbZrgjZWYmj$ämYZ^sbmT(\XYZ`aZYZUVTdjt\bZrgjmWUsTZYZ\ bh TdWa\_^VR:Td`(UsTbDTfe pPgz \Nbh rSUsYmR^VjZTbZrgjmWUVT¢£PSjZbrS`X`a^±Tdx `aT(bmTdWpZ`aPgpZYZUVWaTdYZ`aWrHx p~PSYZbZ`aTbh N`a^srSjZTÖZ©mYZ`UVTdW S»g¬ \XPgjZjZTfW|bmT pZ`aPgpTd`agPSU}cdPSjt\_TdjtYZTfW^VjZ^V\_^VrgUVTdR:Tdjt\bZrgjZWcwZrSklYmT3~PtPSWX\XTd`nybZTfW|\XTdWa\|Tftp}Tde `a^VRTfjt\_rgYm PSjl\}Tdj3T ~Tf\}R:^sWTdj³Tde t^sbmTdjZcfTMUsrpZ`tTde WaTdjZcfTbh Tfjtl^V`aPgj"\XPgjZjZTfWDbmTMbDTfe pPgz \%bQh rSUsYZR:^VjZTNTfj3uZj3bmTMp~PSYZWaWtTfe T pPgYZrSjl\rSUsPS`XW:R:Td\X\_`aTTdjqbZrSjZgTf`UsrvWa\_rSZ^sUV^V\lTJe bZYqUVrgjZcfTdYZ`o´°TJR:PtbyTfx UsTJjtYZRvTde `a^VklYmT$pm`tTfe WXTfjt\lTHe bZrgjZW }`aPtcl «n }`aPlcf Td\ OQPSjZ¢_ yTfWX\mrgWtTe WXYZ`YmjZT"Wa^sR|YZUsrS\_^VPgjJWa\_rg\X^sPSjZjZrS^s`aTbZT&Uih]Tfe cdPgYmUsTfRTfjt\&rx bm^ Tde `aTdjt\XW ^VjZWa\_rgjt\XWNbZrSjZWUVr3cwZrSRZ`aT"bZT|cdPSRZYZWa\_^VPgjTf\NTfj Uih]Tfe \_YZbZTbZTdW(\_`ar_Tfcd\_PS^s`aTdWNbZTdWpZrg`a\_^VcdYZUVTdW(bh rgUVYZR:^sjmT ^VWXWaYZTfWHbZY)ZUVPlcTdj)cdPSRZYZWa\_^VPgjQ%´r-\XYZ`XmYZUsTfjZcdTbZY)äZYZ^VbZTTfWX\$pZ`a^sWaTTdjcfPgR:pZ\XTbZrSjZWJUsTR:PlbyTdx UVT pZrS`MU«h rSb_PgjZcf\_^VPgjbZrSjZWNUVr3t^V\_TdWaWaT"bZTdWpZrg`a\_^VcdYmUsTfWMbh YZjZTpTd`a\_Ym`XZrS\_^VPgjSrgYZWaWX^VTdjmjZTlt´TdW`tTfe WXYmUs\Xrg\_WPSjt\ pTd`aR:^sW%bmT`aTd\X`XPSYZgTf`obZTdW%rSUsTfYZ`XW pmrg`a¢£rg^V\_TdR:Tfjl\o`tTde rSUs^VWa\_TdWQbZTbDTde pPSz \QTf\ Pgjt\&Tde SrgUVTdR:Tdjt\QR:^sW%TfjvTde t^VbZTdjZcfT U«h ^VR:p~PS`X\XrgjZcfTbZYJ\_Td`aR:T&WX\XPtcwZrgWa\_^VktYZTbmrgjZWUVT&R:PlbyTdx UVTl KT!(P P `!L Kf ! OJ!J j jZPgYmgTdrSYvcwZrgUVUVTdjZST3jtYZRvTde `a^sktYZTrtYvUsT"_PgYZ`r x UVruZj bmTdWrgjZjDTde TdWg¬ bZrSjZWYZj jZPSRZ`aT3\_`Tfx W rg`a^ T&e bZTWaTdcf\_TfYZ`XWbZTU«h ^sjZbmYZWX\X`X^VTlnor3x WargPS^s`NUih PgpZ\X^sR:^VWXrS\_^VPgjbZT|¢£Pg`aR:TdW(bZTbZ^VgTf`XWPgt_Tf\_W:·£rgYm\_PgR:PSZ^sUVTln rt^VPgjnTf\_clVV¹bZPgjt\&UVrWX^VRYmUsrS\_^VPgjEbZ^V`XTfcd\_TjDTde cfTdWaWX^V\_T:bDT e rJx bZTdW"cfrgUVcdYZUVW"cfP²YZz \XTdYZy%Oh TdWa\"rgYE\X`XrSTd`aW(bmT bZ^ Tde `aTdjt\_TfW cdPSUsUVrgPg`arg\X^sPSjZWo^sjZbmYZWX\X`X^VTdUVUVTdW·ì}©Z:nNUVcdrS\_TdU~Td\ ©ZrS¢£`XrSj:pZ`X^VjZcf^spZrSUsTfR:Tdjt\¹ktYZTQ_TWaYZ^VW%rg`a`X^V T e jZrS\_YZ`aTdUVUVTdR:Tdjt\"r:x Rh ^Vjl\lTde `aTdWaWaTd`"r:x cdTWXY_Td\\_`argjmWXSTd`aWXrSUi ¿Dj0\XTd`aR:TdW3R:rg\XwDTfe RrS\_^VktYZTdWnQUih Pg _Tdcd\X^s¢cfPgjZWa^sWa\_T rvx `aTdcwZTf`XcwmTd`UVTR^VjZ^VRYZRûgUVPgmrgUbh YZjZT ¢£PSjZcd[ \X^sPSj `tTde TdUVUVT bDTfe uZjZ^VT WaYZ`|Ymj³WaPgYZW|TdjZWaTdR|ZUsT bZT ª ¼ y°¿}j³`arg^VWaPgjvbZTHUsrcdPgR:pZUVTdt^V\lTHe bZY³pm`X^VjZcd^VpT bh]Tfe rSUsYmrg\_^VPgjbZT3cfTd\X\_T3¢£PSjZcd\X^sPSjn²WaPgYZSTdjt\^sWaWaYZT3bZTUVr `tTde WaPgUVYZ\_^VPgjbh YZjZT3¿D¥:¯GPgYEbh YZjZT ¿}¥(bZrgjZW YZjmT QTfe PgR Tfe \_`a^sT$cdPSRpmUsTflTtnoUVT `XTfcdPSYZ`XWrSYZ³R Tfe \_wZPtbZTbh PSpZ\_^VR:^sWarg\X^sPSjqWX\XPlcwmrgWa\_^VklYmTdW-Tfe gPSUsYZ\X^sPSjZrg^V`aTdW ·ìNUVgPg`a^V\_wZR:TdW¡Tde jDTfe \_^VktYZTdWnS©Z\_`arg\lTde S^sTfWDbh ¿}SPgUVYZ\_^VPgjQnl}©¯&nlTf\_clVVs¹QWh rTfx `XTWXPSYZgTfjt\D^VjDTfe l^V\_rSZUVTl PSYZ`³UVTdW0pZ`aPgZU±Tdx R:TfW³UVTdWqpZUVYZWqcdPyYmz \_TdYm²ncdPSR:RT2pZrS`-TflTfR:pZUsT)Uih Pgpm\_^VR^VWarg\_^VPgjbZY OQãbh YZjZT rSYZ\_PSRPSZ^VUsTvjDTde cdTfWXWa^V\_rgjt\$YZjZT Wa^VRYZUVrg\X^sPSj)\X`X^VbZ^VRTfjZWa^sPSjZjZTdUVUVTvbZTdW)Tde ktYZrg\X^sPSjZWbZTvrl^VTd`©m\_Pg¦STdWnUVT bDTde gTfUsPSpZpTdR:Tdjt\3bZTpZ`a^sjmcd^Vp~TfW$bQh rScdcTde U Tde `arg\X^sPSj-bZTcdPSjtgTd`agTfjZcdTbmTdW$RvTde \_wmPlbmTdWqTde SPgUVYZ\_^VPgjZrS^s`aTdW cdUVrgWa[ Wa^sktYZTfWrvTde \lT$e Tfe grgUVTdR:Tfjl\DjDTfe cdTdWaWarg^V`XTt¥(TdYZHrgtTdWPgjt\pZUVYZWpZrg`a\_^VcdYmUs^±Tdx `aTdR:Tfjl\Tde \lT$e Tde \_YmbZ^ Tde W lUsr:pZ`aTdR:^±Tdx `aT ^VbDTfe THcfPgjZWa^sWa\_T rx cdPSYZpZUVTd`UVTdWRvTde \XwZPtbZTdW Tfe gPSUsYZ\X^sPSjZrg^V`aTdW$·ì¡&no¿}©Q¹NrSTdc$bZTdWR Tfe \_wZPtbZTfW:bh PSpZ\_^VR:^sWarg[ \X^sPSjHbDTde \_Tf`XR:^VjZ^VWX\XTdWUsPtcfrgUVTdWcdPSR:RTUVTdWR Tfe \_wZPtbZTfWbmT(S`XrSbZ^VTdjt\SNpm`fTfx WbZ^ Tfe `XTfjl\XWTdWaWXrS^sWWaYZ`Usr:PgjZjmT Wa\_`arg\lTde S^sT:bZTHcdPgYmpZUsrSgTrSRPS`XcTde WbyTdx WS¬g¬S$bmrgjZW `X\XÖ «n N`a\ DTd\ `X\å «n²YZj cfPgYZpmUsrSgT\_PS\_rSUsTfRTfjt\ rSbZrgpZ\Xrg\X^s¢tTdWa\ypZ`aPgpPgW TQe bZrgjmW N`a\¬ iª«UgcdPSjZWa^sWa\_Trx cwmPg^VWX^V`yUVTdW°^VjZWa\_rSjl\XWybZT%\X`XrSjZWa^s\X^sPSj&Tdjt\_`aT UsrN`XTfcwZTd`acwZT SUsPSZrgUVTMTd\DUsr|`XTfcwZTd`acwZTMUVPtcdrSUsTMTfj ¢£PSjZcd\X^sPSj3bZTNcf`X^V\dTdx `aTdW%QTde jDTde `argYZ"bmTN`tTde pZrS`X\X^s\X^sPSj:bZTUVrpPgpmYZUsrS\_^VPgj3bmT WaPgUVYZ\_^VPgjmWTf\rx WaYZ~bm^st^VWXTf`cfTdUVUsTf[±cf^p~PSYZ``tTfe pZrg`a\_^V`}pmUsYZWT :cdrgcfTdR:Tdjt\DUsTfW`XTfcwZTd`acwZTdWDUsPtcfrgUVTdWggTfcYZjmT \XTdUVUsTWX\X`XrS\lTfe g^VT Td\Qp~PSYZ`QUsTfWcfrgWQUsTfWpZUVYZWobDTfe ¢£rgPS`XrSZUsTfW²bZT}¢£PSjZcd\X^sPSjZWQrµgrgjt\yYmjg`argjmb&jZPgR|Z`XTDbZTR^VjZ^VR:r UVPtcdrgYm²nfUVTgrg^VjTfj|\XTd`aR:TdWobh±Tde rgUVYZrS\_^VPgjZWQbZT 3Tdjt\X`XTYZjZT\_TfUsUVTRvTde \XwZPtbZTDbm^s\XTwtµtZ`a^sbmTDTf\QYmjZTRvTde \_wmPlbmT cfUsrSWXWa^sktYZTNWXT(WX^V\_YmTNrgYmrSUsTfjt\_PgYm`XWbh YZj ¢£rScd\_TfYZ`\_`aPg^VW NjHbZTdYZt^±Tdx R:TMrStTNbZT(`XTfcwZTd`acwZTpPgYZ`rScdcTde U Tde `aTd` UVTdWRvTde \XwZPtbZTdW|Tde gPSUsYm\_^VPgjZrS^s`aTdW cfPgjZWa^sWa\_T:r"x bDTfe gTfUsPSpZp~Tf`%bZTfWDR:PtbyTfx UsTfW}bh±Tde rSUsYZrS\_^VPgjZW}rgpZpZ`aPtcwDTfe TdWNrx pmrg`a\_^V` bh YZj2Tde cwZrSjt\_^VUsUVPgjbh]Tfe rSUsYmrg\_^VPgjTftrgcd\XTdWbZT|UVr ¢£PSjZcd\X^sPSj cdPyYZz \ NjjZPgYmgTdrSY R:Ptb²Tdx UVT"r0Tde \lT"e pZ`aPgpPgWtT e bZrSjZW N`a\ mZrSWtTe WXYZ`DbZTdWRvTde \XwZPtbZTdW}bh rSpZpZ`aPt^sR:rg\X^sPSj:bZTN\«µtpTM¼M Td\}UVr"`tTde WaPgUVYZ\X^sPSj|bh YZj3pm`XPSZU±Tdx R:T rSYZ:RPS^sjmbZ`XTfWcdrg`a`tTde W NjmTSTd`aWX^VPgjWa^sR:pZUV^Vu}Tde T(bZT(cdTRPtbyTdx UVTNrµgrSjt\}pTd`aR^VWbh PSZWaTd`agTd`Tde SrgUVTdR:Tdjt\%Ymj Srg^VjH^VR:p~PS`X\Xrgjt\Td\`aTdpZ`aPtbZYZcd\X^smUsTTdWa\YZ\X^sUV^sW Tfe TbZrSjZW N`a\ ²Td\pZ` Tfe WXTfjl\lTde TbZrgjmWUsT&pZrS`XrSg`argpZwmTN » OQTfWbZTdYZ-\«µtp~TfW3bh rgRvTde UV^VPg`arg\_^VPgjmWn°rgpZpTdUTfe TdW:`XTfWXpTdcf\_^VgTfRTfjt\\XPgYZ\rSYqUsPSjZEbZTcdTJ\_`arrg^VUNº¨ ·ìNbZrSpZ\_^VgTHºNµtZ`a^sb ¨Td\_wmPlbQ¹MTf\¡ú·£NpmpZ`XPt^VR:rg\_T¡TdjZTf\_^VcHUsSPg`a^s\XwZR ¹Pgjt\Tde \lT3e UsrS`XSTdR:Tdjt\&rg[ UV^sbDTde TfWNbZrSjZWcwmrgcdYmjZTbZTfW` Tfe ¢Tde `aTdjZcfTdWMcf^s\lTde TfWNWaYZ`(bZTdW(¢£PgjZcf\_^VPgjZW(rgjmrgUVµl\X^sktYZTfW`aTdpm`XPtbZYZ^VWargjt\MbZ^ Tde `aTdjt\_TfW cfrg`argcd\lTde `a^VWX\X^sktYZTfW°bZT¢£PSjZcd\X^sPSjZW%`tTde rSUs^VWX\XTdW·£jZPSRZ`aTdYm"R:^sjZ^VR:rgW%UVPtcdrSYZynZrgWaWX^VjZW bh rg\X\_`argcf\_^VPgjETde \X`XPS^s\XWQPSY ktYZrSWX^V[±pmUsrS\_WngTf\_ctsVs¹X D. $. %. $. C%. $. %. ED. . [. . ID. a¡. 8¢. U. (c. $. $. C%. $. C%. $. ED %. %. t. #¡. C. H¡ B. $. %. . $. C%. ID.
(34) . . LKf ! OJ!-Jg *! %'!(
(35) ( gP éM &LLJ%'K! ©¨. ¤¥§¦. £. ! P éM ©¨. ¦. ª. ¥(^ Tfe `XTfjl\XTdWrSpZpZUV^scfrg\_^VPgjmWnlWa^sHrgY$\_PS\_rgU«ntbZTfWMRvTde \XwZPtbZTdWpm`tTfe cTfe bZTdjt\XTdWWXPSjt\pm`tTfe WXTfjt\lTfe TdWbZrgjZWNcdT&cwZrS[ pZ^V\_`aTl~½QPgYZ\XTdWWaPgjt\N^VWXWaYZTfW(bmT|pZ`aPgmU±Tfx R:TdWNrSpZpZUV^scfrg\X^s¢£Wn~\_`aPg^VW(UVTbZPgR:rg^VjZTbZTdWWacd^VTdjZcfTdW(bZTUih ^sjmQTfe jZ^sTfYZ`n \X`XPS^sW%bmrgjZWDUsTMbmPgR:rg^VjZTRvTde bm^scfrgU«¥rSjZW}cwmrgcdYmjbZTdWDcdrgWnUVr"`tTde WaPgUVYZ\_^VPgjbZYpZ`aPgmU±Tfx R:TbZ^s`aTdcf\%r&jDTfe cdTfWXWa^s\lT e YZjmTvTde \_YmbZT|pm`tTfe rgUVrgZUVT"rSpZpZ`aPg¢£PgjmbZ^sTTd\pZrS`X¢£PS^sWUVT|bDTde STdUVPgpZpTdR:Tdjt\(bZTjZPgYZSTdrSYZR:PlbyTdx UVTdWZ¥(T:R$Tdz R:Tln pPgYZ`cfTd`a\_rg^VjZTfW(rSpZpZUV^scfrg\X^sPSjZWn~UVT|cwmPg^VbZT:Usr$¢£PgjZcf\_^VPgjcdPyYZz \Tf\bZT:Usr$pZrg`argR Tfe \_`a^sWarg\X^sPSjJbZYpm`XPSZU±Tdx R:T WaTWXPSjl\r%Tfe `tTfe W}bDTde \_Tf`XR:^VjZrgjt\XW ´rWXTfcd\_^VPgj&»sQpm`tTfe WXTfjt\_T UVrMR:PlbDTde UV^sWarg\X^sPSjTf\°UVrMWa^sR|YZUsrS\_^VPgjbh YZj"pZ`aPgmU±Tfx R:T ^sjtgTf`XWaToWXPSYZR:^sWpZrg`°NUVcdrg[ \XTdUbZrgjZWDUsTNZYZ\bZTMcdPSjZWa\_`aYZ^s`aTMbZTfW}uZm`XTfW}Pgpm\_^VklYmTdW}pmrg`a\_^VcdYZUV^±Tdx `aTdWnrgpZpTdUTfe TdW%`tTde WaTdrSYZ"bZTN`argS · "¡&¹_ ´TdWNWa^VRYZUVrg\X^sPSjZWMbDTfe \_rS^sUVU Tde TdWbmrgjZW `X\X °Tf\ N`a\_ p~Tf`XR:Tf\_\_Tfjt\Nbh PgZ\XTdjZ^V`NbmTdWN` Tfe WXYZUV\_rS\_W\X`fTfx WMWarg\_^VWa¢£rg^V[ Wargjt\_WnrSYZWaWX^Zm^sTfj3rgTfcbZTdWDRvTde \_wmPlbmTdW}bmTN\«µtp~TNNUVgPg`a^V\_wZR:TdW¡:Tde jDTde \X^sktYZTfW%ktYh rSTdcYZjmTMRvTde \XwZPtbZTMWaTdR:^s[ bDTde \_Tf`XR:^VjZ^VWX\XT3bDTfe gTdUVPgpmp}Tde TpZrS`"²¨ PSwZrgR:R:rgbm^iy´°T pm`X^VjZcd^VpZrSU}^Vjl\lTde `Tfz \(bmTdW`tTfe WXYmUs\Xrg\_W&PSZ\_TfjtYZWnycdPSR[ pZrS`XrS\_^VgTfRTfjt\r3x bh rgYZ\X`XTfWMRvTde \XwZPtbZTdWMpm`tTfe cTfe bZTdR:R:Tdjt\YZ\X^sUV^sW Tfe TdWn `tTde Wa^sbmT(bmrgjZWUsr3¢£rScd^VUs^V\lT&e bZT"`tTde rSUs^VWXrS\_^VPgj TflpDTde `a^sR:Tfjl\XrgUVTbmTdWuZZ`aTdWPSpZ\_^VR:rgUVTdWjtYZR Tfe `X^VktYZTdR:Tdjt\TdtwZ^VDTfe TdW ´r3WXTfcd\X^sPSj » Wh ^Vjt\lTfe `XTfWXWaT r x YmjpZ`aPgZU]Tfx RT^sjtgTf`XWaTHrHx ¢£Pg`a\_TdWrgpZpmUs^VcdrS\_^VPgjZW(RvTde bZ^VcdrSUsTfWNpPg\XTdjt\_^VTdUVUsTfW ª«UWh rSg^V\"bh ^sbZTfjt\_^VuZTd`:bZTHRrSjZ^±Tdx `aT3TdtpDTde `a^sR:Tdjt\XrgUVT3UsTfW|pmrg`argR$Tdx \X`XTfW"bh YZj³R:PtbyTfx UsT RPSjZPtbZ^VRTfjZWa^sPSjZjZTdU bh]Tfe cdPgYmUsTfRTfjt\&WXrSjZgYZ^Vj rS`&`XrSpZpPg`a\rx bZTdW"` Tfe WXYZUV\_rS\_W&rSjl\lTde `a^VTdYZ`aW&PgZ\XTdjtYZW"pmrg` ¤ D¡Td`a~TfrgYETd\"rSUi pPgYZ`bZTfWrg`a\dTfx `XTfW(rx äZTdt^VZ^VUs^V\lT(e cdPSjZWa\_rgjt\XTlnSUsT\X`Xrrg^VUr|cfPgjZWa^VWX\lTe rx bDTfe gTdUVPgpmp~Tf`DTf\&r:x rgUV^VbZTd`YZj$R:PlbyTdx UVT jtYZR Tfe `X^VktYZTbh]Tfe cdPgYmUsTfRTfjt\bZrSjZWbZTdW&rS`X\dTdx `aTdWrgTfc|äZTft^sZ^VUV^s\lT|e rS`X^VrgZUVTln~rSuZjbmTWa^VRYZUVTd`pZrS`(TftTdR:pZUVT UVrvpZ`tTde WaTdjZcfTHbmTpZUsrSktYZTdW3bQh rS\_wDTfe `XPSR:Tl´°TfW3`tTde WaYZUs\Xrg\XWPgZ\XTdjtYZWnQpZ`tTde WaTdjt\lTfe W:bZrgjZW }`aPtc Td\ N`a\g in R:Pgjt\X`XTfjl\ pmrg` TdtTfRpmUsTMktYh ^VUmTdWa\ pPgWaWX^VZUVTbZTM`aTdcdPSjZWa\_`aYZ^s`aTYZjR:PlbyTdx UVTWX^VR:pZUVTTd\%pTd`a\_^VjZTdjt\%WaTdYmUsTfRTfjt\ r:x pZrS`X\X^s`bZTR:TdWaYZ`aTdWTflpDTde `a^sR:Tfjl\XrgUVTdWjZPSjH^VjtrSWX^VgTfWTdjJrrgU²bZTUVrpZUsrSktYZTbh rS\_wDTde `aPgR:Tl ´rWaTdcd\X^sPSj » »pm`tTfe WXTfjt\_T3UVTdW`tTde WaYZUs\Xrg\XWbh YZjZT$cdPSUsUVrgPg`arg\X^sPSjvbZT ÖrgjZWrgTfc3UVTHcfPgjZWa\_`aYZcd\XTdYZ`|rgYZ[ \XPgR:PgZ^VUVT" TdYZSTdPS\OQ^s\X`XPmTd§ jJ}©mn ^VjZcfUsYZrSjt\NTdjpmrg`a\_^VcdYZUV^sTf`NU«h TfjZcdrSbZ`aTdR:Tdjt\Mbh YZjZTTde \XYZbZ^Vrgjt\_T"Tfj \_wyTdx WaT OQ^V¢£`XTJ· m¨ YZµtUi¹XZ´h PSt_Tdcf\_^V¢ uZ T"e byTdx WgSvTde \_rS^s\bZT"bDTde gTfUsPSpZpTd`MbZTfWPSYZ\_^VUVWrSYZ\_PSRrS\_^VktYZTdWbh PSpZ\_^VR:^s[ Warg\X^sPSjbmT3¢£Pg`aR:TdW"bZT Tde wZ^VcdYZUVTdWbZrgjZW|UsT ZYZ\"cf`XYZcf^srSU%bZT3` Tfe bZYZ^V`XT:UVTdYZ`|cdPgjmWXPSRR:rS\_^VPgjYvtYvbZT3UVr cfPgR:pZUVTdt^s\lTMe bZTUih]Tfe rSUsYmrg\_^VPgjbmTNUVr¢£Pgjmcd\_^VPgj cdPyYmz \}cdPS`X`aTdWapPgjZbZrSjt\_T·£UVTOQ:bZYH Tde wZ^VcdYmUsTt¹_nU«h rgcdcfTdjt\}rTde \lT e R:^VW bZrgjZW cfTd\X\_TcdPSUsUVrgPg`arg\X^sPSj"WXYm`QU«h rgcdcTde UTfe `XrS\_^VPgj&bZTcdPSjtgTd`agTfjZcdT}bZTdW R Tfe \_wZPtbZTfWQbmT\«µtpTNUVgPS`X^V\_wZR:TfW ¡Tfe jDTfe \_^VklYmTdWntWXPS^s\NpZrg`MwtµtZ`a^sbmrg\_^VPgjrSTdc&bZTfWNR Tfe \_wZPtbZTfWNbZT|g`argbZ^VTdjt\n WXPS^s\|r x Uih rg^VbZTbQh±Tfe rgUVYZrg\X^sPSjZWrgpZ[ pZ`aPtcwDTfe TdW´°TfWD`tTde WaYZUV\_rS\_WnpZ`tTde WaTdjt\lTde W bZrSjZW OQwZr «n N`a\_Ö in N`a\ «n `X\å Pgjt\Tfe \lTNe \_PgYmWDrgUV^Vb}Tde WDWXYm`DYZjmT ¢£PS`XR:TTdtpDTfe `X^VR:Tdjt\_rSUsT(^VjZWXpm^s`tTde T(bZYJZUVY PtbZµ bh NwmRTfb ´r$WaTdcf\_^VPgj» îHTfWX\&cfPgjZWargcf`tTde T$rJx U«h rSRvTde UV^sPS`XrS\_^VPgj bmY¢£PSjZcd\X^sPSjZjZTdR:Tfjl\&bQh YZjEpZrScdTfRrS¦gTf`(TfjE`XTfcwZTd`a[ cwZrSjt\}UVTdW^sjZWa\_rSjt\_WTd\DUsTfWpPgWa^V\_^VPgjZjZTfR:Tdjt\_W^sbDTde rSYZ|bmTWaTdW:Tde UVTdcf\_`aPtbZTdWmOQTfWD\X`XrrgYm²ngT Tdcf\_YDTde WbZrgjZWUVT cfrgbZ`aT&bZYpZ`aP_Tf\M¼M¿(¯Pgjt\bZPSjZjDT&e UV^VTdY-rx U«h TfjZcdrSbZ`aTdR:Tdjt\TdjS¬g¬å(bh YmjZTTfe \_YZbZ^Vrgjt\XT&TdjpPgWa\_[]¥PtcdPS`XrS\ ·ì´g¿}UNUVrgPgYm^i¹XpZ`fTdx W}UVrR:^VWXTrgY3pPg^Vjt\}bZT(UVr"`tTde WaPgUVYZ\_^VPgjbZY pZ`XPSZU±Tdx R:TMbZ^V`aTdcd\Drg^VjZWa^mktYh YZjZT(`tTfe äZTdt^VPgj WaYZ`UVr|¢£PSjZcd\X^sPSjHcfP²YZz \UVr|pmUsYZWNp~Tf`X\X^sjZTfjt\_TlnlUVTdWpm`XTfR^VTd`aW`tTde WaYZUs\Xrg\XWpm`tTfe WXTfjt\lTfe W}bZrSjZW D`XPtcfî Td\Tdj$cdPSYZ`aW bZT`tTde bZrScd\_^VPgj:bZrSjZW N`a\ ~Pgjt\%R:^sWTdj-Tde t^VbZTdjZcfTMUVTNgrS^sj^VR:p~PS`X\Xrgjt\%pPgYZrSjl\NTdz \X`XTPSZ\_TfjtY3Tdj3PSpZ\_^VR:^s[ Wargjt\%UVTpmUsrScdTdR:Tfjl\}bZTdW:Tde UVTdcf\_`aPtbZTdW)jZPg\XTd`klYmTNUVr"UsPSYZ`abZTdYZ`DbZY cfrgUVcdYZUbZ^V`XTfcd\%r|jDTfe cdTdWaWa^s\lTe Uih YZWargSTMbZTdW R Tfe \_wZPtbZTfWbmT\«µtpT(¡ pPgYZ`PSZ\_TfjZ^s`UVTdWWaPgUVYZ\_^VPgjmWDPSpZ\_^VR:rgUVTdWTdj$YZj$\_TdR:pZWbmTcfrgUVcdYZU`arg^VWXPSjZjZrgmUsTt ¿DjZuZjnUVrWaTdcd\X^sPSjZW"» ÖpZ` Tfe WXTfjl\XT:bZTdYZrgYZ\X`XTfW"TdtTfRpmUsTfW"bh PgpZ\X^sR:^VWXrS\_^VPgjEbZrgjmW"bZTdW|bZPgR:rS^sjZTfW&rgpZ[ pZUV^Vcdrg\X^s¢£WnlTdjJU«h PtcfcdYZ`a`XTfjZcdT(U«h PSpZ\_^VR:^sWarg\X^sPSjHR|YZUs\X^s[]Pg _Tdcd\X^s¢£WbmT(UVr:¢£Pg`aR:TdWbZTWa\_Tdjt\XW·£gPS^s` }`aPtc pPgYZ` pZUVYZWbZTbDTde \_rS^sUVW¹yTf\U«h PgpZ\X^sR:^VWXrS\_^VPgj$rgTdcUsr:R Tfe \_wZPtbZT(Nº¨ bmT(UVr¢£Pg`aRTfWbh rgYZTdWbZT\_Ym`XPg`tTde rScd\XTdYZ`aW bh rt^sPSjZW"·£\X`XrrgYm3`tTde rgUV^VWtTfe W}cfPgj_PS^sjt\_TfR:Tdjt\rgTdc(©ZrS¢£`XrSjHTf\pZ`tTde WaTdjt\lTfe WDbmrgjZW OQwZr ²Td\ N`a\¬ «¹_ ED. $. $. C%. C%. $. $. %. $. %. $. C%. $. $. u%. &%. %. 0D. uD. $. $. C%. C%. $. $. &%. $. uC%. C%. ®2¬ +Á®«º¼µeq·È¯@µ ®2q±À¬A·8º¼±( +²¿²qΪ+´«µ¿--´¯@©2®«º¼¾q¬®«· ¬s'² Á $®«®2ª+ªq·¸q¯6ª+± ±ßqµå·8º¼´2q¬µ· ´'®ß ¹ q¯6q±*¬q¹µ¿²qqº¼ª+µ q±Àµ½±¢´«»qª+¢Á®ÎÁ ÎÁ ®«±`¬ q+µ¿ª+·8â´«´«ª" ⶠ©2¹ ¶Áº q©«±`º¼ ±câ® ¹ ·â¹ ± ¹ ´2º Xv¹ q¬. T>«¬«®lN MX. <¯ °. b°. ². °. a±. B±. X. :;. MX. HO. u± «««.
(36) ³. ÿ. ´ ! <µ. . ª«jPg`abZTd` \XPYZjZbZTf`XWa\_rSjZb|\XwZTTdSPgUVYZ\_^VPgjPg¢~\_wZ^VW%âPg`a¦"\_wm`XPSYZgwZPSYZ\Q\_wZTµSTdrg`aWndWaPgR:TwZ^VWX\XPg`a^scfrgU TflpmUsrS[ jZrS\_^VPgjZWNrg`aT&jZTdTfbZTdbm\M\XwZTTdS^sjZjm^sjZPS¢o\_wZ^VWâPg`a¦ynt^Vj\_wZT"R:^VbZ[]g¬h Wnt\_wZT|ºNTf`XR:TdWNpZ`XP_Tdcf\MrgjZb^V\_W rSWXWaPtcd^Vrg\_Tfb3`aTdTdjt\X`Xµ:pZ`aPgZUVTdR nSUVTdrgbHR:T(\XP|Wa\_YmbZµ3¦t^sjmTd\_^Vc(RPtbZTfUsWrSjZb \XwZTd^V`cdPS`X`aTdWap~PSjZbZ^VjZjtYZR:Tf`X^VcdrSU Wa^sR|YZUVrg\_^VPgjmWâ^V\_w\_wZT:¨ PSjl\XT$OQrS`XUVP R:Td\XwZPtb NjZ¢£PS`X\XYZjZrS\_TdUVµln~\XwZT:N`a^srSjZTÖHuZ`X^VjZ$^sjqSå^VWYZp\XP jZPâ\_wZTUVrgWa\DUVrg`agT¿}YZ`aPgpTdrSj WapZrgcfTNpZ`aP_Tfcd\S\\_wmT(TfjZb$Pg¢°\XwZ^VWbmTdcdrSbZTlnlâ^V\_w$\_wmT(S`XPâ^VjZ"cfPgR:pZYZ[ \Xrg\_^VPgjmrgUQrgZ^VUs^V\«µlnmr$jZTdâpTd`aWXpTdcf\_^VgTPgpTdjZTfb ¢£Pg`(Tdjmg^VjZTdTf`XW ~\_wZTp~PSWXWa^VZ^sUV^V\«µ$\XP bZP$rgjPgpZ\X^sR:^Vàdrg\X^sPSj UVPtPgp3TfgTdjHâ^s\Xw cfPgR:pZUVTd»g¥ Wa^sR|YZUVrg\_^VPgjmWg½wZ^VWjmTdâcwZrSUsUVTdjmgTNm`XPSYZgwt\}R:T(\_P\_wZT(uZTfUsbHPg¢yTfgPgUVYZ\X^sPS[ jZrS`Xµ|rgUVgPS`X^V\_wZR:W%^Vj3PS`XbZTf`%\_P\_`aµ|\XPrgpmpZUsµrgjmbTdgTfjt\_YZrSUsUVµ|^VR:pZ`aPgT\_wmTdR㢣Pg`%rS`X^VPgYZWDpZ`aPgZUVTdR:W gcdrS` WawZrgpTPgpZ\X^sR:^Vàdrg\X^sPSjn\_Ym`XZ^VjZTZUVrgbZTWawZrgpTPgpZ\X^sR:^Vàdrg\X^sPSjTf\_clVV½wZTWXrSRT¦t^sjmb|PS¢mpZ`aPgZUVTdR:Worgpmp~Tfrg`aTdb UVrg\XTd`^VjH\XwZT&R:TdbZ^VcdrSU²uZTdUVbJ^sjJâwZ^VcwHªâPg`a¦WX^VjZcdTS¬g¬gîrgjmbHR|µ3^sjt\XTdg`arg\X^sPSj ^VjZWa^sbZT&\XwZT&¼M¿¯q\_TfrgR PSpZ\_^VR:^sàfrg\_^VPgjPg¢R:TdbZ^VcdrSU bZTdt^VcdTfW Us^V¦gTWa\_Tdjt\XW%Pg`opZrScdTdR:rS¦gTd`aWndpmrg`argR:Td\XTd`aWQ^VbZTfjl\X^sumcdrg\X^sPSj|PS¢~jtYZR:Tf`X^VcdrSU ZUVPtPtb$ämPâR:PlbmTdUVWntTf\_ctsV ½wZTuZ`XWa\Npmrg`a\MPg¢ \XwZ^sW(bZPtcdYmRTfjt\N^VWbZTfgPS\_Tdb\XP R|µ$âPg`a¦ PSj pZrS`X\X^scfUsTfWN\_`argjmWXpPg`a\Mrg¢£\XTd`RµJ}wZ¥ bZTf¢£TdjZcfTH^VjgSÖ rgWaµtRpm\_Pg\X^scH~TfwZrt^sPS`|PS¢M\_wmTHpZrS`X\X^scfUsTfW:RTfrgj ¢£`aTdT$pZrS\_w³^Vj0rpTd`a^sPtbZ^VcHrS`X`arµPg¢ WacdrS\_\_Tf`XTf`XWngpZrg`a\_^VcdUVTdW\_`ar_Tfcd\XPg`a^sTfWD^VjHr\_Ym`XZYmUsTfjl\äZYm^sbl½wmT(rSpZpZUV^scfrg\X^sPSj rg\Wa\_rg¦ST¢£PS`\_wZ^VWUsrSWX\pPg^Vjt\ ârgW \XwZTMjtYZR:Td`a^scfrgU Wa^sR|YZUVrg\_^VPgj:PS¢~WaUsrSbZTdpPgWa^s\X^sPSj:rg\ \_wmTMR:Pg\_PS` cdrSWXTârgUVUsW%PS¢~\XwZTN`a^VrgjZTÖ&PtPgWa\_Td`aW ½wZTWaTdcfPgjZbEpZrS`X\&PS¢\_wZ^VWbZPtcfYZR:Tdjt\&bZTdrSUsWâ^s\Xwv\_wZT3bmTdWacd`a^spZ\X^sPSjEPg¢wlµtZ`a^VbPSpZ\_^VR:^sàfrg\X^sPSjvRTf\_wZPtbZW rSjZbWaYZ`a`XPSgrg\XT}R:PtbZTdUVWobZTdSTdUVPgpTdb|^sjPg`abZTd`o\XP^VR:pZ`XPST}\XwZTp~Tf`X¢£PS`XR:rgjmcdTPg¢mTfgPSUsYZ\X^sPSjZrg`aµ(rgUVgPg`a^V\_wZR:W \XP^VjZrSrgpZUVUspZµtUVnl^scf\_rgwZ\XT^sS\XT$wZ^s`aumb$TdUVrgbZjZWnQb$cfUsPgrSR:WX\^VjZpZErS`XTd\^V\_gwZ^VgTfTf`3W¢£`XrSPS`XR ^VPgYm^VjZWbZrSYZpZWapZ\_`aUV^sµ cfrgPg\X`^sPSR:jZWTfbZPg¢°^scf\X^swZjmTTlnopZrS`aTdjZtb-^sPSwmYZrWlPg^VjZpZ\X^sR:rgUV^VU|àdrS¯\_^V¥(Pg¿j$RPS`:Tf\_}wZPt¥(bZ¿ W cfPgjZWa\_`arg^Vjt\_W K. 3c. Uc. ¶c. ·c. [. é
(37) K%'J SK
(38) s%' !
(39) S ½
(40) !- %'!- O
Documents relatifs
Nous remarquerons, en outre, que dans A les intégrales communes ne peuvent avoir, comme singularités, que les lignes singulières fixes de F ou les caractéristiques de cette équation,
Nous avons démontré de plus que ces transformations permettent de déduire d'une équation hyp'erboliqne donnée et de sa solution des équations hyperboliques dont les solutions sont
Cette remarque nous permet de vérifier indirectement que nos transformations permettent de construire toutes les équa- tions hyperboliques et leurs solutions en partant de la
La détermination des valeurs de \ pour lesquelles il en est ainsi revient, diaprés ce qui précède, au problème sui- vant : Trouver toutes les suites de Laplace, terminées dans les
L^équalion ( i 4 ) jointe aux équations (i3) exprime la condition pour que les multiplicités M^_^ soient contenues dans des multi- plicités intégrales à n dimensions; on
Il y a dans ce calcul un développement asymptotique pour représenter la composition des symboles : ce point ne présente d'ailleurs pas de difficulté puisqu'il est évident dans le
aux racines; mais, quand l’équation bilinéaire donnée s’écrit en une proportion géométrique continue de la forme la plus simple, les deux dernières
Nous ne considérerons pas, sous leur forme générale, les équations aux dérivées partielles d’ordre n à nz variables indépendantes, qui forment la troisième
