Fast direct solver for the biharmonic equation on a disk and its application to incompressible flows

全文

(1)

(2) !" # $ &% '( )* +-, ./ )' ' ( 021 $' 3465 5"# 07./ )8' #' % 5 9 :;/ 00 < 7=> ?A@CB2DFEHGJI/@CILKNMF@PO Q(RTSUMFVXWZY[R\BW^]`_a(S/SbC@CRdcA?AMeWZI2R\YfMeWZ@hgTi j MeWZ@C]9BM`bGJI/@hM`]lknm/B2D[o(B/@qpRTVZir@qWts u(ir@hB/gI;mLv`w9w2x/kna"y{za j u|i}@~EHGJI/@K7@Cm Q(RTSUMFVXWZY[R\BW^]`_?AMeWZI2R\YMW@Cgdi j(MeWZ@h]9BMFbGJI3m/B2DGJI2RdB2Dfo|B/@pRTV}i}@qWts ?A@CB2DI/ir@hm/B2DxGJI/@hMs@ &Fx2kna"y{za j `0

(3) tX -|0X)XlnTJX 0¡6¢0)}£¤9¤9¥2¦q§TX)©¨ªX£«)¢{£8¬rX0« ¨X«N£®$§T®H«¯r¢.)°±H£r(r ^²d³¥U®6§T´®H«¯nr´¢.)°Z±H£r ´ ¬T£7}£¬µ^¢{r±T) ¬¶¬£¬)·XÜ®H«¯nrT¢n«X§d)0³J-$¸T«¯¬£7±T¬£® £¬«¯±¢0H£¬)J¤r±«¯0«¬0«¯)U{¹TXTr8£¬$0«¯Xº¬0£UX¨¢{r±T)»r±TH« ¼:½:¾ 0¿À£®)Á3¬rXn£®r¬n£®r¬¯»r±H«Â)°±H£r:§¶^)¢{r¦qX«¯0« ¸T£¬2ÄÃ0«)¢{/¯¢{«0£Å)H£r)³FÆÂ»:«¯X´XZ»X«NÁU£®.®¨ª£»Â®X¨ n)®

(4) Á

(5) ¶¨ª«rÇ£®X«¯»rÀ¿TÁ7¢0Xµ®XT£®.¢{ZX«H£¬N»r±´H«¯£¶ )X¶:ÁU£®r±£er;¢{rT£r)³F¥®/È®0«¯6X¦CÉX«¯«¯¬r¨ªX«¯N±£®) HT)£¬º¬rX2£®2«)±T£X}£9)H«`¬¶¬£¬).:¢{r¬£P¦q0¡6¢0)}£Á2)¶X³&¥® ¢{rnT±£H£rTX/¢{rnT{¹£¶(X¨£®Ê0£®¢{rT¬£.X¨ºËÌ~ÍlÎlX»ZÏÎµÐ H«¯£®n0£´¢/X0«¯H£r;¨X«/ÍÒÑ.Î»X«¯nrZ£0³¥®Z±0«¯¢0XTX¢0¢0±«¯X¢{¶ ¢¯®)¢¯²NXnrnHT´¢0H£rF£¬£®¢{rnT«)§d;ÓÂ)0«¬¦hÈ£¬X²X);Ô

(6) ÁU Ân´¬²H«7¢{r±¢{£¬)À³ Õ×ÖFØ

(7) ÙhÙCÚ×ÛÜØ

(8) Ý}ÞrßàÝrá â)ãXähårØ

(9) Ù×æ ç;ÚÜ}â)ÙCäCè:Ú¯ÝtäéØ)êìë&ÜrÜ}íàßîÚÞ ïâ)äCårÚè:â)äCßÄð¯Ûñ ò;â)äCßîØ

(10) Ý}â

(11) í ÖFårßÄâ)ØLóTãrÝ}áõô&Ýrßîö

(12) ÚÙhÛCß÷äqø#ñúù×û

(13) û}ù

(14) ñ"ódâLü;ÛCãrÚåþýØtâ

(15) Þñü3ÛßîÝ}ðPåHãþÿ#û

(16) û}ñ ó\ë 6ë3òæ è:â

(17) ßà í èðíÄâ) ß 3è:â)äCåæ Ý}ðäCãæ ÚÞXãTæ ä

(18) .

(19) !#" $%&('*),+#" -/.1032%45"6),+798:);<%&=->)?),&A@#" +%B45.>C17D?$#.>&A'%+?EGF),&A&("6C(),+ H ),&A'I2#; %J7#KLKNM/7JO,),&G45"6->"64QPCA4(&(.R%' H 2#+#-S45" )+ H ),&A'I2#; %45"6),+T U. VWYX[Z[\^]`_à=XLb>\*W. Mc$#.d#"6$%&('*),+#"6-8#&A),#;6.>'e%&A" CA.>C H &(),'fC(.SO,.>&(%;!%8#8#;6" -R%B45" )+#C"6+gCA),; "6@h'i.1-j$%+kE "6->C^%+#@ml2#"6@n'*.>-j$#%+#" -1C>TpoQ+qCA),; "6@r'i.1-j$%+#"6->C1sut+#@#"6+#vw45$#.x@#"6C(8#; %->.1'i.1+34^) H 4($#.y:.1+#@#"6+#v`) H .>; %CA4(" -Y8#; %45.1CI" +O),;6O.>CzC(),;{O?" +#v|4($#.y#"6$%&('*),+#"6-.10?2#%45"6),+TxoQ+ l2J" @}'*.>-j$%+#" -1C>s[45$#.CA45&A.R%' H 2#+#-S45" )+w) H " +#-1),'*8#&(.1C(C("6#; .YD?45)~.>CIl#)" +4Q)E @#"6'i.1+#C("6),+%;:C(8%->." C 45$J.CA),; 2k45" )+y) H %#"6$%&A'i),+J" -.10?2#%45"6),+d%Cc.1; ;T Mc$#.J" $%&A'i)+#" -=8#&A),#; .1') H 4($#.ut&ACA4~?"6+#@),+y%4Q)EQ@J" '*.>+#CA" ),+%;@#),'i%" + $%Cc45$#. H ),&A' Ï9 5#[nL (# " + T 5JS (#),+ T¡ , =$#.1&(.¢4($#.`@#"6£:.>&A.>+45" %;¤),8:.1&5%4(),& " C4($#.|.>;6;{EQ~3+#)¥=+¦%8#; %->" %+§@#.St+#.1@nP ¨S© ¨S© %+#@ Ï T[®uCc'*.>+45"6),+#.>@y"6+°¯± B²sJ@#" &A.>-14 @#" CA->&(.S45"6³R%4(" ),+ ) H 4($#" ¨jC ª H ©[),« 2#&G45¨$k¬ © E´),&(@#.1&#"6$%&A'i),+J" -=.>032%4(" ),+x T µ;6.R%@#Cµ45)%O.>&GPY" ;6;{E´->),+#@J"645"6),+#.1@ ;6" +#.>%&L.>032%B45" )+#C>TLMc$32#C1sJ'*),CA4) H 4($#.="645.1&5%4("6O.c'i.S45$#)?@#C&(.10?2J" &(.¤%¶;<%&Av,. +32#'I9.>& ) H "{45.>&(%45"6),+#C" +Y),&A@#.>& 4()),J45%" +YCA),'*./C5%4(" C H %-145)&APiC(),;62J45"6),+#C>T[·/+J./8:),8J2#;<%&%8kE 8#&A)%-j$Y4()z%¥O)," @yCA),;6O?"6+#vIC(2J-j$d"6; ; EQ->)+#@#"64(" ),+J.>@z'%B45&(" ¸*.>032%4(" ),+JC " C4()" +45&A)k@J2#->. %+i%2k¸k"6; "<%&AP¶O%&(" %#; .¹5J[ 5JL%+#@z45)¶C(8J; "64[4($#.=#" $#%&('*),+#"6- .>032%4(" ),+ T " +45)*%->),2J8#; .1@CGPkCG45.1'º) HL» )," CAC(),+d.>032%B45" )+#C¤%C 5#[m¹: 5JS ¹:5#[nL (#¼ T¾½ Mc$#.:),2J+#@%&GP-1),+#@#"{45"6),+#C T¡ ,%&(.CG45"6; ;[45$#.iC5%'*.T¢·+#.Y-R%+}.R%CA" ;{PCA.>.4($%4 2#+J@#.>&4($#" C H ),&('2#;<%4(" ),+s,45$#.1&(./%&A.!4Q):)2#+#@%&GP-1),+#@#"{45"6),+#C H ),&4($#.uCA),; 2J4(" ),+ #2k4L+#)9),2#+J@%&AP->)+#@#"64(" ),+JC H ),&N¹T¿Mc$#. H 2J+#-14(" ),+#C %+#@I¹%&A.->)2#8#; .1@I45$#&A),2#v,$ 4($#.9),2#+#@%&APY-1),+#@#"{45"6),+#C"6'i8J; " -1"64(;6P=$#" -j$y452J&(+#C )2J4 45)9.u4($#.'i%" +Y@J"6À*->2#;{4QP ) H C();6O?" +#vCA2#-j$|8J&(),#;6.>'dT Mc$#&A),2#v,$#)2J445$#"6CI8%89.>&1sL.d%&A.Y" +4(.>&(.1CA4(.>@h" +}4($#.Y@#),'i%"6+}) H %¢2#+#"{4I@#"6C(~ Ák 5J`Â! Ï Ï}Ã Ä TÅMc$#.1&(. H ),&(.su"64i" C+%452J&5%;¤45)w%8J8#;6Pg45$#.|8:),; %& -1)k),&A@#" +#%45.¢4(&5%+#C H ),« &('i%4(" ),+r ÆL->)CÇk5È Æ¿CA" +=Çw45)h45$#.x.>032%4(" ),+JC>TºK),& CA" '*8#; "6->"64QPs¤.x2#C(.x45$#.xC5%'*.x+#)4j%B45" )+#CY45)É&(.>8J&(.>CA.>+4|4($#. H 2#+#-14(" ),+JC9)45$" + .

(20) Ê %&G45.1C("<%+n%+#@n89),; %&-1)k),&A@#" +#%45.1C>TËMc$#.°->)2#8#; .1@nCGP?CA45.1' ) H 45$#.°#"6$%&('*),+#"6.10?2#%45"6),+^) H ÆB5Ç,-R%+9./=&("64A45.1+%C Ï Ï Ï ¹:ÆjÇS Ì Ã Æ Ã jÌÍmÇ Ã BÎ T±Ï3 ÆÏ « Æ Æ « Æ Ï Ï Ç Ï ¹ ¹ ¹ Ï Ï nLÆjÇS Ì Ã Æ Ã jÌÍmÇ Ã BÎ T¡Ð, Ï Æ « Æ Æ « Æ Ç jÇLÑÇS jÇ,[nÇ,¼ T¾Ò Æ Óµ%&A" ),2#C%8#8#&(),%-j$#.>C H ),&Ô45$#.+32#'*.>&A" -R%;C(),;62J45"6),+¶) H 4($#.µ:),2J+#@%&GPO%; 2#.8#&A),kE ;6.>' T±Ï3ÉS T¡Ò%;6),+#v="{45$4($#./%8J8#; "6-R%4(" ),+#C[4()45$#.uCA45.>%@JP" +#-1),'i8J&(.>CAC("6#; .=l)¥ "6+#C("6@#.->"6&(->2J;<%&/v,.1),'*.145&A" .1C$#%¥O.9.>.1+Õ@#.SO,.>;6),89.>@Õ"6+`45$#.*; "{45.>&(%452J&(.TzMc$#)C(."6+kE -1; 2#@#.45$#. CA8:.1-14(&5%;k'i.S45$#)?@^¯ÖÒ²s45$#. "6+45.>v&5%;k.>032%4(" ),+I'*.14($#)?@^¯ÖÏ²s%+#@I45$#.C(89.>-SE 4(&5%;<×@#"6£:.>&A.>+#-1.'*.14($#)k@r¯ s¿ÐB²ÑTòQ+}45$#"6C8%8:.1&>sL.YC($%; ;@J.1O,.1; ),8h% H %CA4@J" &(.1-14 '*.14($#)k@^CA" '*" ;<%&µ4()|¯ ²J2J4¤@#"6£:.>&AC ="645$y4($#./45&(.>%45'*.>+4(Cc) H -1)k)&(@#"6+%45./CA" +#v2#;<%&ØE "{4QP ="64($89),;6.-1),+#@#"{45"6),+#C¯ ²NO?C>Tc="{45$#),2k4!89),;6.-1),+#@#"{45"6),+#Cjc%+J@|45$#.9),2#+#@%&AP -1),+#@#"{45" )+#Cv,;6),%;"6+34(.>v,&(%;3->),+J@#"64(" ),+#C¯ ²3OkC1TL; )?-R%;@#"6£:.>&A.>+#-1. %8#8J&()R¸k" 'i%45"6),+#CjT Ù.1C("6@#.>C1s,),2#&N&(.>CA2#;645%+4[; "6+#.R%&.1032%45"6),+#CL->%+I9.CA),;6O.>@" +I%+I.1À*-1" .>+4%; v,),&A"64($#'T Ú¤+#; "6~.!4($#),CA.8%89.>&ACc% H ),&A.>'*.>+45"6),+#.>@s?.¶%8#8#;{Pz45$#.8J&(.>CA.>+4=#"6$%&('*),+#"6-=C(),;{O,.>& 4()*CG452#@kPy45$#.¶2#+#CG45.>%@JP^" +J->),'*8#&(.1C(CA" #;6./Ûu%RO?" .1&GEGD345),~.>C=l)¥=C>T ·2#&L'*.14($#)k@" C¿%/KLK¿MEQ#%C(.1@ H %CA4L@#" &A.>-14¿C(),;{O,.1& H ),&N4($#. #"6$%&A'i),+J" -.>032%4(" ),+ T¾ÏQES T¾ÒSTÜÕ.t&(CG4[2#C(. 4($#. 45&A2#+#->%45.1@zK)2#&("6.>&¿CA.>&A" .>C[.¸k8%+#CA" ),+I4()/@#.>&A"6O,. %C(.14 ) H ->),2#8J; .>@C(" +Jv,2#;<%&·/Ý/Þ[C>s?45$#.1+.C(),;{O,.¤45$#),CA.uCA" +#v,2J;<%&.>032%B45" )+#CPiC(.>-1),+#@kE ),&A@#.>&µt+#"{45.u@J"6£:.>&(.1+#->.!@#" CA->&A.145"6³R%4(" ),+JC>T[Ú¤C(" +Jv%&(%@#"<%;9v&(" @*="64($YC($#" H 45"6+#v%$%; H '*.>CA$°%¥%RP H &A),'ß4($#.),&A" v,"6+s.->%+°$%+#@#;6.45$J.I->)?),&(@J" +%4(.CA" +#v,2J;<%&A"64QP^.R%C(" ;{P ="{45$#),2k489),; .->),+#@J"645"6),+#C1TuMc$#.*Dk$J.>&('i%+kEØF),&A&(" CA),+ H )&('I2#; %i"6C!45$J.>+°%8#8J; " .1@|45) CA),;6O.45$J.I&(.1C(2#;{4j%+4;6" +#.>%&=CAP?CA4(.>'" +`%*->),CG4AEQ.SÀ*->" .1+4 %RPTMc$#.I-1),'i8J2J4j%4(" ),+#%; -1),'i8J; .S¸k"{4QP°) H 45$J.'*.145$J)k@}-1),+#CA" CA4(C) Hcà ánâ; ),v Ï â¢%&("{45$#'*.14(" -),89.>&(%45"6),+#C H ),&¤á ã¢âäv,&A" @^8:)" +45C1T Mc$#.Y&A.>CG4I) H 4($#.8%8:.1&" C),&Av%+#"6³>.>@}%C H ),;6; )¥=C>TôQ+hD?.>-14(" ),+w ksN.Y8#&A.>C(.1+4 ),2J& H %CG4 @#"6&(.1-14C(),;{O,.>& H ),&45$#.!#" $%&('*),+#" -c.1032%45"6),+° T¾ÏQES T¾ÒSTÜÕ.¤45$#.1+y%8#8#;{P 4($#" CICA),;6O.>&4()`@#.1O.>;6),8g%¢+?2J'i.1&(" ->%;µC(-j$#.1'i. H ),&45$#.y2#+JCA45.>%@JPw"6+#->)'i8#&A.>CAC(" J; . Û!%¥O?"6.>&GEØD?45)~.>Cµl)¥=C"6+#C("6@#.¤%@#"6C(~" +Dk.1-145"6),+Y½kTLMc$#.u+32#'*.>&A" ->%;%->-12#&5%-1P*-j$#.>-j~ %+J@dCA),'*.¶4(.>CG4u%8#8#; "6-R%4(" ),+JC $%RO,.¶9.>.>+8:.1& H ),&A'i.1@^" +Dk.>-S45"6),+^Ï#T. ½.

(21) å. æmæçÈè9é¢êë¿ì/]. í,êëNXé`bRî¢êIZï. \*W`bRaeë¿\*ð1ñ*ì/Z. õö÷øùGúømûpö=ü/úýúþ¤÷ÿ#ùGö Dk"6+#->.45$#.CA),; 2J4(" ),+ "6+°Þ03C1T< T¾ÏQES T¡Ð,!" Cu8:.1&(" )?@#"6-" +°Ç?s.*->%+x%8#8#&A)R¸J"6'%B45. "{4cPy45$#./45&A2#+#->%45.1@|K),2#&A" .1&cC(.>&A" .1C!%C Ï ÆjÇ,[

(22) Æ, kT,. Ï =$#.1&(. Æ,"6C 45$#.¶->)'i8#;6.S¸yK)2#&("6.>& -1)k.S Ài-1" .1+34!v,"{O,.>+^P Æ,[

(23) ÆjÇ kT. â . Ç q ,Î >âs,%+#@zâ "6C¿45$#.+?2J'I:.1&[) H v,&A" @I89)," +4(C[%; )+#v%-1" &(-1; .T¿Mc$#. H 2#+J-145"6),+#C ¹:ÆjÇS¿ÆjÇ,(ÑÇSsN%+#@wÇ,%&(.@J.1t+#.1@w" +x45$#.iC5%'*.'i%+#+#.1&%CIÞ[03C>T kT,QE Ñ kT,ST Mc$#.°%9)¥O,.¢45&(%+#C H ),&('i%45"6),+ 9.14Q.>.1+4($#.`8#$P?C(" ->%;CA8%->.°%+#@K)2#&("6.>& CA8%->.`->%+m:.|.1À*->"6.>+45;{P 89.>& H )&('*.>@r2#CA" +#v}4($#. H %CA4yK)2#&("6.>&i4(&5%+JC H ),&A'¢KLK¿M¤ ="{45$ à âq; ),v Ï â|c%&("{45$#'*.14(" -),89.>&(%45"6),+#C1T Dk2#JCA45"{452J4(" +#v¶45$J),C(.!.S¸k8%+#CA" ),+JC" +4()Þ[03C>T T±Ï3ÉS T¡Òs.!&(.>@J2#->.u4($#.¤),&("6v," +%; » Ý/Þý4()x%°CA.14*) H C("6+#v,2#; %&·/Ý/Þ[C>TwMc$#"6C->),'*'*),+h%8#8#&A)%-j$g" CI~3+#)¥=+§%CI45$#. CA.>8%&(%45"6),+¢) H O%&A"<%#;6.>C!" +|4($#.C(),;62J45"6),+|) H 4($#.I;6" +#.>%& » Ý/Þ[C>TMc$#."!?4($°K)2#&("6.>& -1)k.SÀi-1" .1+34(C Æ %+#@^¹ Æ+#)¥ÅC(%45"6C H P4($#.¶:)2#+#@%&GPYO%; 2J./8#&(),J; .>'*C # Ï # # ! Ï ¹ Æ, kT& « Æ%$ Æ #¹ # ¹ # ! Ï ¹ ÆS kT Ì. « Æ $ ÆÏ µr ' [ kT , . =$#.1&(.4($#. 8#&A" '*.@#.1+#)4(.>C¿4($#. @#.1&("6O%4("6O.="64($I&(.1C(89.>-S4[45)Æ?T¿Mc$#.&(.>'i%"6+#" +#v=4j%C(~ "6C4()|C();6O,.*45$#)C(.-1),2#8#;6.>@ÕK)2#&("6.>&'i)?@#.z.>032%4(" ),+JC H ),& %+J@Õ¹ PC(.>-1),+#@kE ),&A@#.>& t#+#"64(.@J"6£:.>&(.1+#->.¶@#"6C(-1&(.14(" ³>%45"6),+#C>T ò óAô. ò óQò. (*)ÿ#ùGÿ,+*ü¶ù.-Ôøú/#ù10ÔÿùØö2 ÿ,ü43ö÷5ü/ÿ[ø768-Ôöü¶ù9#ùGö. Mc$#&A),2#v,$J),2J4/45$J" C/8%89.>&1s.*%@#%8J4%y&5%@J"<%;Nv,&("6@`3P¢C($#" H 45" +Jvy$%; H '*.>CA$x="6@J45$ %R%¥Py4($#.¶),&("6v," +Y%C Æ ;: , , Æ :N j kR¼R¼R¼(áná kT , $ « Ï.

(24) =$#.1&(.4($#. '*.>CA$I=" @J4($ Æq <#Ñ ,á TLÚ!+J@#.>&LCA2#-j$v,&A" @sB.c$%RO. Æ>=5? T « Mc$#.%@JO%+4j%v.u) H 4($#" Cv,&("6@"6Cµ4($%4.@#)+#)48#;<%-1.uv,&A" @i8:),"6+45Cµ@#" &A.>-14(;6Pi%4µ45$#. ),&A" v,"6+745$32#C>s¿%C¶.iC($%;6;C(.>.sN4($#.+32#'*.>&A" -R%;[:),2J+#@%&GPÒ%; 2#.z+#.>%&4($#.)&(" v" + "6C+#)4z+#.1.>@#.1@T§Mc$#"6C&5%@J"<%; v&(" @w$#%Cz:.1.>+§"6+45.>+JC("6O.>;{Pw2#C(.1@É4()[email protected],.1; ),89.y45$#. .SÀi-1" .1+34 » ),"6C(CA),+YC();6O,.1&(C" +y Ýq8:);<%&!¯@&Js.B²%+#@Y½,Ýn-1P?; "6+#@#&("6-R%;¯ Ì²9v,.1),'*.145&A" .1C>s %+J@^4()iCA" 'I2J;<%4(.u45$#.¶-1),'i8J&(.>CAC("6#; .¶Û!%¥O?"6.>&GEØD?45)~.>C¤%+J@|Þ[2#;6.>&=.>032%4(" ),+JC¯ , ²T K),&Y-1),+O,.>+J" .>+J->.Õ) H 8J&(.>CA.>+4j%B45" )+su.xCA" '*8#;6PÉ@#.1+#)45.¢4($#.°@#" CA->&A.145.Ò%;62#.>C A CB Æ SsED CB ¹ Æ Ssc%+#@GF CB Æ dTÚ¤C(" +JvÕC(.1->),+J@kEQ),&A@#.>&->.>+4(.>&(.1@ @#"{£.1&(.1+#->.*%8#8J&()R¸k" 'i%45"6),+#Cu4()@#"6C(-1&(.14(" ³1.iÞ[03C>TÑ kT&,QESÑ kT ÌSs:.*),J45%" +`45$J.*@J" H E H .1&(.>+J->..>032%4(" ),+#C. A ? A A . A ? A ! Ï A D kT ½ $ $ ÆÏ « $ ÆÏ Æ « Æ D ? ,D D . D ? D ! Ï D F kT Ï3 $ $ ÆÏ « $ ÆÏ Æ « Æ H ),& 4($#.¶" +#@J.S¸ ÍG:ÍáÈT oQ+w),&A@#.>&I4()¢->;6),C(.4($#.y; "6+#.R%&CGPkCG45.1's[45$J.y+?2J'i.1&(" ->%;µ:),2J+#@%&GPÕO%; 2J.>CHAJI¥s D IRs/AK=5? %+#@LDM=5? CA$#),2#;6@¢:.C(2#8J8#; "6.>@T Ê $#)?),C("6+#vÆ %C!@#.>CA->&A" 9.>@¢"6+w ?T Ss .¶$%RO,.Æ , kTLÜm$#.1+45$J./" +#@#.¸^) H :N sJ4($#.¶->)?.1À*->"6.>+45C=) H AJIu%+#@NDMI=" + Þ[03C>TÑ kT ½%+#@d ?T Ï&A.>C(89.>-S45"{O,.>;{P,s.10?2#%;k4()³>.1&()#7,4($?2JC>s+#)¶%8J8#&()R¸k" 'i%45"6),+#C H ),& AJI!%+#@ODMI!%&(.¶%-1452#%; ;{PY+#.1.>@#.1@TMc$J" C=" C 4($#.%@JO%+4j%v.) H 2#CA" +#vi%C($#" H 45.1@v,&A" @ Ñ kT ,STNMc$#.c),2J4(.>&[+32#'*.>&("6-R%;k:)2#+#@%&GPIO%; 2J.*A=5? "6CL~3+#)¥=+iPI4($#.c9),2#+#@%&AP O%;62#./ TEP!)¥.1O.>&>s945$#.1&(." C=+#)@J" &(.1-14¤v,"{O,.>+dO%; 2#. H ),&*DM=5? T=·+#.C("6'i8#;6. %RP 4()),J45%" +*45$#.!+32#'i.1&("6-R%;9),2#+#@%&APzO%; 2#.QDM=5? " CµPi4($#.u;6)k->%;#t+#"{45.u@J"6£:.>&(.1+#->. %8J8#&()R¸k" 'i%45"6),+y%C H ),;6; )¥=C>T K¿"6&(CA4>s; .14!2#C!" '*8:),CA./45$#..>032%4(" ),+} kT ½=%4¤45$#." +#@#.¸R:µ á 745$%B4u"6C>s « .¶$%RO,. ! Ï A=5? Ï 2A=5? A= AK=5? Ï A= $ DM=5? $ Ï ? A=5? kT Ð, ÆÏ « Æ $ Æ =5 « Æ>=5?. =$#.1&(.HA=5? Ï "6C¤4($#.v$#),CA4!O%; 2#.),2J4(C("6@#.4($#.-1),'i8J2J4j%4(" ),+#%;Ô@#),'i%" +Tc®u8#8#&A)R¸?E "6'%4(" +#vy4($#.9),2#+#@#%&APx->)+#@#"64(" ),+ # º Px45$#.iC(.1->),+#@?EQ),&A@#.>&I@J"6£:.>&(.1+#->. H ),&A'I2#; %Jsk.¶$%RO,. A=5? Ï A= $ q ¼ kT Ò Æ Mc$#.1&(. H ),&(.s4($#.Yv,$J),CA4IO%;62#.NA=5? Ï -R%+w:.Y)J4j%"6+#.>@Õ3P45$#. H )&('I2#; %LA=5? Ï A= Æ, TyDk2#JCA45"{452J4(" +#vy4($#.*O%;62#.) H AK=5? Ï s,A=5? Ñp Ss%+J@Æ>=5? « Ð.

(25) "6+34()Y45$#.z.10?2#%45"6),+É kT ,Ð s.z@#.1&("6O.45$#.z+32#'*.>&("6-R%;¿:),2J+#@%&GP|O%; 2J. H ),&SDT=5?. %C AK= ! Ï k kT , DT=5? ¼ Ï Ï Æ « $ Æ $ « Æ « Mc$#"6C"6C%;6C()¢.¸k8#;<%"6+#.>@x45$%B445$J.C(); 2J4(" ),+#C) H A %+#@UD %&(.i->),2J8#; .1@Õ45$#&A),2#v,$ 4($#.¶:),2J+#@%&GPy->),+J@#"64(" ),+#C1T ò óWV. XNYZ-ùØúJ2[Jö+1\úø^]öµø_ `ú øúa#÷5+WJÿ,bc+Aùúÿ[ø^d6edJúNû. ® H 45.>&¤'I2#;{45"68#;6P?" +JvgfyÆ Ï " +|9)4($|C("6@#.>C!) H Þ[03C>TL kT ½=%+#@hÑ kT Ï3Ss4($#.&A.>C(2J;64j%+34 ,á ã° ,á ; "6+#.R%& CAP?CA4(.>' $ %Cc4($#. H ),&(' hQi j kT s r ¼ k imlonLqp r n_tu P¤.>&(.s i "6C!%+|á ã°á 45&("6@#"<%v,),+%;9'i%45&A"{¸. yz |{}. ª~ Ï y Ï{HÏ i wv kT & ww ww ~ = y = { = ww ~= y = xw =$#)C(..>+45&A" .>C¤%&A. ! Ï y { ~ È kT¡ Ì Ï $ $ ;: , $ #: , , #: , « $ $ $ H ),& Í:Í áÈT`Mc$J.y'%4(&(" ¸ j " C4($#.^á ãhá @#"<%v),+%;'i%45&A"{¸°="64($ j Æ Ï T¤Mc$#.I'i%45&A"{¸Rk $%C!4($#.I),+J;6P^),+#.+#),+#³1.>&A)Y.>+45&GPw;k*=Q = ý { = Æ Ï $ $#"6-j$¢&(.18#&(.1C(.1+34(C45$#.->),2J8#; "6+#v) H 45$#.:),2J+#@%&GP-1),+#@#"{45"6),+|) H Dp="64($AT·+#. = CA$#),2#;6@+#)45" -1./45$%4=4($#" C=->)2#8#; "6+#v->)'i.1C H &A),' 45$J.;6)k->%;Ô%8J8#&()R¸k" 'i%45"6),+x ?T ST Dk);6O?" +#v/4($#" CµCAP?CA4(.>' P*4($#.¤@#" &A.>-14b¶%2#C(CA"<%+i.>;6" '*" +%4(" ),++#.>.1@#C %4; .>%CA4 à á Ï %&A"64($#'i.S45"6-|),89.>&(%45"6),+#C>T%P!)¥.SO,.1&>s/),+#.°->%+m" '*'i.1@#"<%4(.>;{PÉ&A.>-1),v,+#"6³>.¢45$#%4y45$#. 'i%45&A"{¸k " C %CcC("6'i8#;6.%C=%&(%+#~,EQ),+J.'%B45&(" ¸:TLMc$#.>&A. H ),&A.s#.¶-R%+^2#+#-1),2#8#;6.45$#. ;6" +#.>%&u.10?2#%45"6),+#C¶P`" v,+J),&("6+#v45$J.*+J),+#³>.1&()^.>+4(&AP°) H 45$J.*'i%4(&("{¸k 4($%4¶"6C>s45) &A.>8#; %->.gk P}%¢³>.>&A)°'%4(&(" ¸%+#@wCA),;6O.Y45$#.y+#.S ;6" +#.>%&CGP?CA45.1'eP}" +O.>&A4(" +#v 4($#./45&("6@#"<%v,),+%;:'%B45&(" ¸ i TµoQ+CA2#-j$%RP,s45$#.¶-1),'i8J2J4j%4(" ),+#%;->)CA4¤$%C=9.>.>+->2J4 4() à Ñái),89.>&(%45"6),+#C>TqMc$#" Ci" @#.>%Õ" CY-1),'*8#; .S45.>;{Ph@#.>CA->&A" 9.>@mPÉ4($#.°Dk$#.1&('i%+kE F)&(&("6C(),+ H ),&A'I2#; %%C H ),; ;6)¥=C>T Ò.

(26) d3 ¡Å¢Ñ>T[£´L¤J¥J¦d§.¨9©«ª¬¯®±°³²T´H¶µy¯·¹¸ ·¿¾aÀ Ø^Á® » °Â º» ½ Â>ÃÄÆÅ ºÇ Ã² º¼» ½ ²° « ¾aÀB µJ¼ kT¡ ^ $ ¾ Àµ « Mc$#"6C H ),&('I2J;<%->%+9.¶.R%CA" ;{PO,.1&("{t.>@dP^@#" &A.>-14=CA2##CG45"64(2J45"6),+T oQ+Y),2J&" '*8#;6.>'*.>+4j%4(" ),+z) H 45$#.u%:)¥O. H ),&('2#;<%Js,4($#.'i%45&A" -1.>C %+#@o·¶¾ À %&(. -j$#)C(.>+|%C hEi j h Ì Ì À È C · ¾ kT¡ , , Ì i l k Ì l ¼ Mc$#. ,á. ->); 2#'*+yO,.>-S45),&ACQ·w%+#@N¾Õ%&(./-j$J),C(.1+`%C. ·° ÌJjÌJ>¼R¼R¼SjÌJ { =¿ Æ Ï À. ¾°ÈÑÌJjÌkR¼6¼ jÌkR¼6¼¾Ì À . kT¡ ½. =$#.1&(.Y4($#.y+#),+#³1.>&A)x.1+45&("6.>C) H ·q%+#@È¾%&(.^%4z ,á45$g%+J@gá45$h->)'i89),+#.1+34(C>s &A.>C(89.>-S45"{O,.>;{P,T!ÙPy45$J),C(.-j$#)," -1.>C1s:.I-R%+.R%CA" ;{P^-j$#.>-j~NkËÉ·C¾ À T=Mc$#."6+3O.>&AC(" )+ ) H 4($#. 'i%45&A"{¸C" +O),;6O.>CLCA),;6O?" +Jvu45$#.; " +J.R%&NCAP?CA4(.>' ) H 4($#.4(&(" @J"<%v,)+%;3'%B45&(" ¸ i =$#"6-j$|+#.1.>@#C!),+#;{P à Ñá=)8:.1&5%4(" ),+#C1T ·+#.C($J),2#; @|%; CA)z+#)45"6->.¶45$%B4¤4($#.'%4(&(" ¸ i " C 4($#./&(.1C(2#;{4j%+4='i%45&A"{¸) H 45$#.K),2#&A" .>&'i)?@#./.10?2#%45"6),+#Cc) H Ý" &A" -j$#;6.14 » ),"6C(C()+ 8#&A),#;6.>'=$J" -j$d" Cc->)'i8#;6.14(.>;6PC(),;{O%#; .¯ &²ÑT ò ó;Ê. (!÷/û û ÿ[ø76ßöË]g7`ú ÿ,+Ìµöµøù97`/û. Ô¦ .14i2#Ci->; )C(.^45$#.dC(.1-145"6),+§PgC(2J'i'i%&("6³>"6+#v`45$#.%; v),&("{45$#' %+#@É4($#.|)8:.1&5%4(" ),+ -1),2#+45C¤" +Y4($#. H ),; ;6)="6+#v4($#&(.1.CG45.>8JC>Â Ê ),'*8#2J4(.u45$J.¶K)2#&("6.>&-1)k.SÀ*->" .1+45C H ),&4($#./&("6v,$4AE´$%+#@YCA" @#. H 2#+#-14(" ),+^%+#@Y45$#. 9),2#+#@#%&APu->),+#@J"645"6),+#C2JC(" +Jv=KLK¿Mx@#.>CA->&("6:.1@¶" +* ?TTMc$#" CÔ&A.>032#" &A.>C à Ñáqâ; )v Ï â¢ %&A"64($#'i.S45"6-u),89.>&(%45"6),+#C>T *Dk),;{O,.I4($#.I->)2#8#; .1@`45&("6@#"<%v,),+%;Ô;6" +#.>%&uCGP?CA45.1' ?T ,!&(.1C(2#;{45" +Jv H &(),' ?T ½,QE Ñ kT Ï3Py45$#.D?$#.>&A'%+?EGF),&A&("6C(),+ H ),&A'I2#;<%kT¿Mc$#"6C¤&A.>032#"6&(.>C à áqâ|),8:.1&5%4(" ),+JC>T Í Ê ),+O.>&A4u45$#.K)2#&("6.>&=->)?.1À*->"6.>+45C!P"6+O,.>&AC(.K¿K¿Mp ?TÎ, 45)i),J45%" +^45$#.C(),;62kE 4(" ),+s?=$#" -j$&(.10?2J" &(.1C à ánâ; ),v Ï â|c)8:.1&5%4(" ),+#C1T Mc$#.¶)¥O,.1&5%;6;Ô),89.>&5%B45" )+y->),2#+4¤" Cc4($?2JC à áqâ;6),v Ï â¢ H ),&¤á ã`âäv,&("6@y8:)" +45C1T. .

(27) Ï VcóAô. VWà¤\*ï ]`bRëKÓ. Ð`Z[ì/ëLë¿bRé`ð>ì. Ôxöøz#ù1-ù9³6ÕÖ#øúÿû. Ñ êuñdb>ì/Z¿èaÒYX¿\HÓì/ë. ë¿\*ð1ñ*ì/Z. \*W. ê. ]S÷5-×#ùGö]öøûÈ÷5+Gÿ#ùØö2. Mc$#.¶"6+#->),'*8#&A.>C(CA" #;6.¶Ûu%RO?" .1&GEGD345),~.>C=.>032%4(" ),+JC¤$#%Cc45$#.¶CA45%+#@%&(@ H ),&('. ¤. ¤ >Ù ¤ 5 fR¤µ Ñ½JT Ù Ú Û5 « « 7Ø Ñ½JT¡ , ÙÜ ¤ ÌJ =$#.1&(.Ý¤Þ[ " C45$#.l2#" @O,.>;6)k-1"64QPs Ú ÞL 4($#. 8#&A.>C(CA2#&(.s?%+#@ßÛ5 " C45$#.bà¤.SPk+J),; @#C +32#'I9.>&1TLMc$#Ø .ct&ACA4µ.>032%4(" ),+z@#.1C(-1&(" 9.>C45Ø $J.¤-1),+#CA.>&AO%4(" ),+z) H '*),'i.1+452#' %+#@45$#. CA.>->)+#@|),+J."6C 45$#.->),+JC(.>&GO%45"6),+) H 'i%C(C1ToQ+¢ Ý v,.>),'*.14(&APs#.-R%+.S¸k8#&A.>C(C¤45$#. Û!%¥O?"6.>&GEØD?45)~.>Cµ.>032%B45" )+#C!Ñ½JT QEÑ½JT¡ ,¿PzC()-R%; ; .1@45$#.=O,),&G45"6->"64QPCA4(&(.R%' H 2#+#-14(" ),+ H ),&A'I2#; %45"6),+TÙP4j%~3"6+#vu45$J. ->2#&A;J) H Þ[0T Ñ½JT 4()/.>; "6'i"6+%4(.4($#. 8#&A.>CAC(2#&A.cv,&5%@J" .>+4 4(.>&('dsJ.$#%¥O. zá ã ¿ f Ñ½JT¾½ á Û5 á G « â 7Ø =$#.1&(. " C4($#./+#),+J³>.>&A)O,),&G45" -1"64QPi) H 45$#.äµ->)'i89),+#.1+34>s7ã§4($#./CA4(&(.R%' H 2#+#-S45"6),+s á PÈ¤ýÖåã ã!s%+#@ ã" C4($#.Ræ,%-1),#"<%+w@#.14(.>&('*" +#%+4RT}Û¤)45. @#.St+#.1@É Ù 4($%4Rs45$#.*O,.1; )?->"64QP¤%2J4(),'%B45" ->%â ; ;{P|á C(%45"6CAt.1C4($#.Y" +J->),'*8#&(.1C(CA" #"6; "64QP|->),+JCA45&(%" +4 ½J¼ STÛ!)¥q2#C("6+#v45$#.¶@#.St+#"64(" ),+^) H s#"{4 P?" .>;6@#Cc45$#.¶&A.>;<%B45" )+Y) H %+J@Nã P á á f±ãw ¼ Ñ½JT±Ï3 á Mc$#.1&(. H ),&(.s¶4($#.Õ)&(" v" +%; Ý Û!%ROk"6.>&ØEGD?4(),~.1C|.>032%B45" )+#Cw½JT QES½JT¡ ,i="64($n45$J&(.>. 8#&A" '*"64("6O,.O%&("<%#; .1Cµ+J) $%C%+Y%;{45.1&(+%4(. H ),&('I2J;<%4(" ),+@#.1C(-1&(" 9.>@iP¢½JT¾½QEÑ½JT±Ï3 ="{45$^),+#;{P4Q)i2#+J~?+J)=+O%&("<%#; .1C>T Ü.c%&(." +45.1&(.>CG45.1@*"6+45$J. +32#'i.1&("6-R%;k%8#8#&A)R¸J"6'%B45" )+#CN) H Þ03C1T¤Ñ½JT¾½QEÑ½JT±Ï3Ô" +% 2#+J"64@#"6C(~v,.1),'i.S45&GP ýÁBÌ Ã ÆÍ jÌÍmÇÍ BÎ Ä 745$32#C1sk45$J.¤89),; %&[->)?),&(@J" +%4(.>C "6C2#CA.>@TMc$#./+#)+#; "6+#.R%&bæ,%->)#"<%+@#.>CA->&("6#" +JvI45$#.uO),&A4(" -1"64QP*45&5%+#C(89),&A4" C=&A"64A45.>+ %C ã ã zá zá ã[ Ñ½JT¡Ð, n Æ Æ Ç $ Ç Æ r â á %+J@^4($#.¦%8#;<%->"<%+y),8:.1&5%4(),&Qf" C . fç. Ï. . . ÆÏ Æ Æ ÆÏ Ç « « . . . Ï. Ï ¼. Ñ½JT¾Ò.

(28) Mc$#.&5%@J"<%;c%+#@ %³1" 'I2k45$%; O.>;6)k-1"64QPh->)'i89),+#.1+34(Ci->%+§9.d&(.>-1)¥O,.>&A.>@ H &()' CG45&(.>%' H 2#+J-145"6),+^Py45$#. H ),&A'I2#;<%C è Mc$#./O),&A4(" ->"{4QPy-R%+d9./=&("{4(45.1+|%C. ã $ Æ Ç . ã Æ ¼ . 45$#. Ñ½JT,. è ¼ Ñ½JT á Æ « Æ $ Æ Ç Ü.¤&A.>CG45&("6-14),2J&%4(4(.>+45"6),+45)/45$#.cl)¥§" +#CA" @#.=%/2#+#"{4@#" CA~="{45$zC(),'*.=8%&G45" -12kE ; %&O,.1; )?->"64QPC(89.>->"{t.>@),+4($#.µ:),2J+#@%&GP%C Mè Ì!%+J@ ÑÇ,Ô%4Æ T Mc$#" C 8%&A45"6->2#; %&¿9),2#+J@%&AP->),+J@#"64(" ),+I-1),&(&A.>CA8:),+J@#C[45)45$J.c+#),+kE´+#),&('i%;?l)¥§-1),+#@#"{45" )+T oQ+°%@J@#"64(" ),+s:" H ÑÇu ÌJs:45$#.IO.>; )?->"{4QP|"6C+#)EĆ(;6" 8¢%B445$#.9),2#+J@%&APT xK&(),' 45$#. &A.>;<%B45" )+Y) H ½JT,SsJ4($#.%9)O.¶:),2J+#@%&GPy->),+J@#"64(" ),+#Cc9.>-1),'*.. ãu jÇ[nÌJ. . ã Æ. 5Ç,[qÇ,S¼. Ñ½JT&. Dk)45$#.!->),'*8#;6.145.=v,)¥O.>&(+J" +#vI.1032%45"6),+#Cµ" +#-1; 2#@J.uÞ[03C>TÑ½JT¾½QEÑ½JT±Ï3[%+#@*45$#.!:)2#+#@kE %&GP^->),+J@#"64(" ),+#C½JT&,ST ®!v%" +s),+#.->%+|.>%C("6;6PyCA.>.45$%4¤45$J.>&(.%&(.¶4Q)9),2#+#@%&AP -1),+#@#"{45" )+#C H ),&45$#./CG45&(.>%' H 2J+#-14(" ),+gãÉ#2J4=+#)9),2#+#@#%&AP->),+#@J"645"6),+ H ),&45$#.O),&GE 4(" ->"{4QP T*Mc$#" C" C/.¸J%-14(;6P`45$J.iC(%'i.zCA"6452#%45"6),+x%C/45$#.*-R%CA.i) H C();6O?" +#vy4($#.i-1),2kE 8#;6.>@^CAP?á CG45.>' ) H #"6$%&('*),+#"6-.>032%B45" )+#C T±Ï3QE T¾ÒTLo´4¤C($#),2J; @d+#)4=9.CA2#&(8J&(" CA" +#v CA" +#-1.45$J. Ý Û!%ROk"6.>&ØEGD?4(),~.1C.>032%4(" ),+JCu-R%+¢:.%-14(2%;6;6P H ),&A'I2#; %45.1@45)%*4(" '*.SE @#.18:.1+#@#.1+34#" $%&('*),+#" -¶8#&A),#;6.>' ) H 4($#.CG45&(.>%' H 2#+#-S45" )+ã!T¤Mc$#"6Cu8#2#&A.CG45&(.>%' H 2#+J-145"6),+ H ),&('2#;<%4(" ),+Õ-R%+g:.^),k4j%"6+#.>@gPhC(" '*8#;{PÕCA2##CA4("64(2J45"6+#vx4($#.^.>032%4(" ),+ ½JT¾Ï" +45)Ñ½kT¡½T. VcóQò. é}ùGû úýù2#úaÌµøÿùØö2. Ü.[.>'*8#; )¥Pu%cC(.>-1),+#@kE´),&(@J.>&ÔoGF|ÞKêz " '*8#; "6->"{4AEQ.¸k8#; "6->"64jJ%-j~%&(@" +45.1v,&5%4(" ),+uC(-j$#.1'i. H ),&=Þ[03C>T Ñ½kT¡½ÉS½JT¾Ï %C . ½ ? Ï ? Ñ ½J T Ì ¯± ã ã Ø² á,ë $ á,ë « á,ë ë Öf Û5 á ë « â á ë ë $ â á ë Ø. ? ? Ñ½JT , ã ë á ë ã ?. ? ë 5Ç,[ÑÇS¼ ã ë jÇ,ÌJ Ñ½JT , Æ &.

(29) M $#.!C(2#89.>&AC(-1&(" 8k4c),+Y%O%&("<%#; .=&(.18#&(.1C(.1+34(C 45$#.¤45"6'i.=CA4(.>8y"6+#@#.S¸*=$#.1&(.¿f " C45$#. c Ø .y$%C 4(" '*.iCG45.>8Tx·/+J.Y-R%+w.>%C("6;6P°CA.>.Y45$#%44($#.y%9)¥O,.Y45"6'i.*" +4(.>v,&(%45"6),+CA-j$#.>'* ;6)k->%;94(&(2#+J-R%4(" ),+y.1&(&()& à Wf Ï T,P!.>&A.s#.45&A.R%4c4($#./+#),+#;6" +#.>%&-1),+O,.1-145"6),+y45.1&(' .¸J8J; " -1"64(;6Pz%+J@Y45$#.;6" +#.>%&Ok"6C(Ø -1),2#C4(.>&(' " '*8#;6" ->"{45;{PCA)I45$%4 %4c.>%-j$Y45"6'i.¤CA4(.>8y. +#.1.>@4()CA),;6O.%-1),2#8#;6.>@iCAP?CA4(.>' ) H» )" C(CA),+Y8#&A),#;6.>'*CìA2JCA4 ;6" ~.!Þ[03C>T T±Ï3ÉS T¡ÒT Mc$#.1&(. H ),&(.s4($#. H %CA4#"6$%&('*),+#"6-IC();6O,.1&¶@#.>CA->&("6:.1@Õ"6+°4($#.z8#&(.SO?" ),2#C¶CA.>-14(" ),+x-R%+ 9.%8#8#;6" .>@Y="{45$#)2J4='I2#-j$d'i)?@#"{t-R%4(" ),+JC>T à=.>->.1+45;6Ps45$J.^t#&(CA4%2J4($#),&z$%Cz"6+34(&()?@#2#-1.>@É%°t+J"645.^@#"{£.1&(.1+#->.dC(-j$#.1'i. H ),& Þ[03C>T Ñ½JT¾½ÉSÑ½kT¾Ï3¿=$#"6-j$i2JC(.>Cµ45$#.eà=2#+#v,.E1í/2J4A4j%¶'i.S45$#)?@*%Cµ%¶4(" '*.c" +45.1v,&5%4(),&[%+J@ 4(&(.R%B45C!4($#.I-1),+O,.>-S45"6),+°%+#@¢O?" CA->),2JCu45.1&('*Cu.S¸k8#;6" -1"645;{Px¯@²TuMc$#.I'*.145$J)k@¢"6+O,),;{O,.>C CA),;6O?" +Jvz%*CA" +#v,;6. » )" C(CA),+d8#&(),J; .>' H ),& 45$#.¶CG45&(.>%' H 2#+J-145"6),+d%4=.R%-j$45"6'i.uCA4j%v,.T P¤).1O.>&1s#45$#.!8#&("6->.!4()I9.u8%"6@ H ),&µC(2J-j$dCA" '*8#; "6->"{4QPI" Cµ45$%B445$J.!45"6'i.¤CA4(.>8y$%C45) 9.-j$#)C(.>+¢O.>&GP|CA'%;6;Ô" +),&(@#.1&!4()v,2%&5%+45.1.4($#.+32#'*.>&A" -R%;CG4j%J" ; "{4QP,TcM)$%RO. %Y&A.R%CA),+%#;6.I45"6'i.CA45.18CA" ³1.s%yK),2#&A" .>&!t;64(.>&("6+#vY'I2JCA4¶9." '*8#; .1'i.1+34(.>@|4()Y45$#. O),&A4(" ->"{4QPY+#.>%&c45$#.¶-1.>+45.1&u%4=.>%-j$^45" '*./CA45%v,.T Mc$#.1&(.%&(./)45$#.1&¤+32#'*.>&A" ->%;CA-j$#.>'*.>C H ),&4($#.¶2#+#CA4(.R%@kP^Ûu%RO?" .1&GEGD345),~.>C=.>032%BE 4(" ),+#C Ñ½JT¾½ÉSÑ½kT¾Ï3),+z%@#"6C(~" +4($#.c; "{45.>&(%452J&(.TK),&L"6+#CA45%+#-1.s,M),&(&A.>C%+J@ Ê ),2J45CA"<%C ¯ ²=$#%¥O."6'i8J; .>'*.>+4(.>@h%`8#C(.12#@#),CA8:.1-14(&5%;¤'i.S45$#)?@w="64($É%¢4($#" &A@kEQ),&A@#.>&oGFÞ¹ê %-j~3%&A@@J"6£:.>&(.1+#->"6+#v H ),&*45" '*.d" +45.1v,&5%4(" ),+É45)wÞ[03C>T¶½JT¾½QEÑ½JT±Ï3STqMc$#.`8:.1C(2kE @#)C(89.>-14(&5%;'i.S45$#)?@y" +O,);6O,.1C=.S¸k8%+#@J" +#v45$J.O,),&G45" -1"64QPY%+#@Y45$J.CG45&A.R%' H 2#+#-14(" ),+ "6+%c45&A2#+#-R%B45.>@ Ê $#.>P?C($#.SOEØK),2#&A" .>&¿C(.>&A" .1CN"6+Æ Ç!@#"6&(.1-145"6),+#C1TNMc$#.1&(. H ),&(.s,"64; .>%@#C 4()YC(),;{O,.4($#.ICA" '*" ;<%&¤CA" +#v2#;<%&!K),2#&A" .>&!'i)?@#..>$ 032%4(" ),+#C kT&QE kT ÌcP Ê $J.>PE CA$#.1Oy'*.14($#)?@T[oQ+)&(@#.1& 45)z~.1.>8^45$#.¶C(89.>-S45&(%;%->-12#&5%-1P,sCA),'*./->),'*8#; "6-R%4(.>@y8#&A.SE -1),+#@#"{45" )+#" +#v4(.>-j$#+#"6032#.>C/'I2JCA49.I.1'i8#;6)¥P,.>@ H ),&!@J"6£:.>&(.1+4/'i)?@#.1C¤=$#"6-j$`'%~.>C CA),;6O?" +Jvz4($#.&(.>CA2#;645%+4u;6" +#.>%&c.>032%B45" )+#C!032#"{45.->),'*8#;6.S¸:Tc·+^45$#.)45$J.>&¤$%+#@s9%C ./@#" CA->2#CAC(.1@|9. H ),&A.s#),2J& &(.1C(2#;{4j%+4=; "6+#.R%&.>032%B45" )+#C -R%+d9./C();6O,.1@^" +^%IC("6'i8J; . %[email protected]À*->" .1+4!%RPy="645$J),2J4¤%+Py8#&A.>-1),+#@#"{45" )+#" +#vI4(.>-j$#+J" 032#.>C1T. VcóWV. (*)ÿ#ùGÿ,+*ü¶ù.-Ôøú/#ù10ÔÿùØö2. Qo +Õ4($#.-1),'*8#2J4j%B45" )+) H 45$#.i+#),+#;6" +#.>%&¶->),+O,.1-14(" ),+Õ4(.>&A's.Y+J.>.>@45)¢-1),'i8J2J45. 4($#.yt&(CG4@#.1&("{O%B45"6O.>Cz) H ãp%+#@ ThMc$#" Cz-R%+§9.d.>%C("6;6P}%8#8#&A)¥¸k"6'%4(.>@hPw45$#. á 'i.S45$#)?@TKP¤.>&A.sk.u2JC(.!4($#.uC(%'*.á ã*âv,&A" @ CA.>->)+#@kEQ)&(@#.1&->.1+45.>&A.>@y@#"{£.1&(.1+#->.! %C="6+Y45$#.¶#"6$%&('*),+#"6-8#&A),#; .1's?45$%B4!"6C>s Æ j Ç [ ;: , ÆBW Ç Ñ½JT ½ $ =$#.1&(. Æ <#Ñ ,á %+#@ Çq BÎ >âxTµ®!v%"6+s#P^C($#" H 45"6+#vz%*$#%; H '*.>C($d" + « &(%@#"<%;@#"6&(.>-S45"6),+sJ.%¥O)," @d8#; %->"6+#vv,&("6@y8:)" +45Cc@#"6&(.1-145;{Py%4=4($#.¶),&("6v," +T Ì.

(30) ¦Ô.14Y4($#.¢@#"6C(-1&(.14(.|O%; 2J.>C) H 45$#.¢CA-R%; %& H 2J+#-14(" ),+[ã 9.¢@#.>+J)45.1@Pîã B ãuÆ jÇ ST[Mc$#.1+s45$#./t&ACA4¤@#.>&A"6O%4("6O,.1Cc) H Æz%+#@dÇ-R%+d:.%8J8#&()R¸k" 'i%45.1@yP ã ã ? ã $ Ñ½JT Ï3 n Æ r ïf^Æ ã ã ? ã . $ ¼ Ñ½JT Ð, n Ç r ÖfdÇ Dk"6+#->.45$#. H 2#+#-S45"6),+"6C8:.1&(" )?@#"6-[" +Çks4($#.%8#8#&A)¥¸k"6'%4(" ),+/) H Ç @#.1&("6O%4("6O.@#)?.>C +#)4I&(2J+}" +45)|%+P4(&(),2J#; .TOP¤).1O.>&1s%B4C:´ s¿45$#.i+32#'i.1&("6-R%;µ$ :)2#+#@%&GP°O%; 2#. ãJI 'I2#CG4=:./8J&()¥O?" @#.1@Tµ·+#.¶%8#8#&A),8#&A"<%4(.-j$#),"6->./) H 45$J.O%; 2#."6CbãI cã ?¹ð T Mc$#"6C=" C=:.1-R%2JC(." H .&A.>8#; %->. Æ3PdÆz%+J@|ÇzPdÇ ÎÕ"6+d4($#. Ê %&A45.1C(" %+kEQ89),; %© & 4(&5%+#C H ),&('i%4(" ),+s¥4($#. Ê %&G45.>CA"<%+$ ->)?),&(@#"6+%4(.>C) H %!89)," +« 4¿&(.>'i%"6+tJ¸k.1@TLMc$#.1&(. H )&(.s %+PrCA-R%; %& H 2#+#-S45" )+C(%45"6CAt.1CNãu ÆjÇ,x ãuÆjÇ ÎY" H 4($#.°@#),'i%" +m) H 45$#. H 2#+J-145"6),+y" C.S¸?45.1+#@#.>@d45)+#.1v%4("6O,.$ O%;62#.>Cc) H Æ?T[Mc$#.¶« C5%'i.CA8%4("<%;:@#" CA->&(.S45"6³R%4(" ),+ "6C=%8#8#;6" .>@Y4()*4($#./O,),&G45"6->"64QP T á. Vcó;Ê. Ôxöøz#ù1-ù9³63ö÷5ü/ÿ[ø768-Ôöü¶ù9#ùGö. ® H 45.>&t#+#" CA$#" +#v=),+J.4(" '*.LCA4(.>8" +/),2#&CA-j$#.>'*.½JT ÌQEÑ½JT , s>.),k4j%"6+45$#.[O,)&A45"6-SE ? %+#@4($#.cCA4(&(.>%' H 2J+#-14(" ),+¶ã ? %B4L45$#)C(. "6+34(.>&A" ),&Nv,&("6@89)," +45C1TKP¤).1O.>&1s "{4QP 4($#.á,:)ë ,2J+#@%&GPO,),&G45"6->"64QPu" CÔ+#.1.>@#.1@ H ),&ë 4($#.µ%8#8#&A)¥¸k"6'%4(" ),+u) H 4($#.->),+O.>-14(" ),+45.1&(' +#.>%&4($#.9),2#+J@%&APTMc$J" C->%+}9.@#.1&("{O,.>@w2JC(" +Jv|Mc$#),'Rñ±C H ),&A'I2#;<%¯ Ò²%C H );{E ;6)=C1TÜ.It&(CG4%8#8#&A)¥¸k"6'%4(.4($#.zC(.>-1),+#@x:)2#+#@%&GP¢-1),+#@#"{45" )+¢) H Ñ½JT ,u%B445$#. 9),2#+#@#%&APyÆò=5? P ?. ?. ã =5 ã Ï ? Q = ë $ ë Ñ½JT Ò Æ ?. =$#.1&(.ã =5 ë ? Ï? "6C%v,$#),? CG 4O%; 2J.u),2J4(C("6@#.!4($#.u-1),'i8J2J4j%4(" ),+#%;@#),'i%? " + T¿Mc$#.1&(. H )&(.s .$%RO,.Qã =5? Ï ^ã =Q Æ TµDk2##CG45"64(2J45"6+#v4($#.uO%;62#.!) H ã =5? Ï %+#@Y2#CA" +#v ë ë ë 4($#. H %-S4¶) H ã =5? ?. Ì H « ),&%; ;ós.z->%+`->),'*8#2J4(.I45$#.:),2J+#@%&GP|O,)&A45"6->"{4QP|P 4($#.¶@#" CA->&(.S45.¦ë %8#; %->" %+^%C ? Æ ? ã ? }ã =Q ¼ ë Ñ½JT , «. 5 = ? 5 = ? ë á ë Æ Ï « Mc$#./&A.R%@J.>&(C =$J)z%&(."6+45.>&A.>CG45.>@^"6+45$#.!O,),&G45" -1"64QPi:)2#+#@%&GP-1),+#@#"{45"6),+#C %+#@Y45$#. &A.>;<%B45.>@^"6C(C(2J.>C¤-R%+^&(. H .>&c45)|¯Ö½B²ÑT ,.

(31) ô. Ñ _`ï. ì/ZbRa¤êð§Z[ì/ëL_`ðSX[ë. Qo +I4($#" CNC(.>-S45"6),+s.t&ACA4[89.>& H ),&(' 45$#.%->-12#&5%-1PI-j$J.>-j~ H ),&N),2#&N+?2J'i.1&(" ->%;?C(-j$#.1'i.1C 4()i45$J.#"6$%&('*),+#"6-%+#@`Û!%¥O?"6.>&GEØD?45)~.>C!.>032%4(" ),+JCu),+`%i@#" CA~9T¤Mc$#.1+¢.@#.>'*),+kE CG45&5%B45.¶45$#.+32#'i.1&("6-R%;ÔO%; "6@#+#.1C(C=) H ),2J&!Û!%ROk"6.>&ØEGD?4(),~.1CuC();6O,.1&!PdC("6'I2#; %45"6+#vI45$#. '*)¥Ok"6+#vY%; ;¿%+#@`45&A" 89),; . H ),&('i%45"6),+¢8#&A),#;6.>'*C>ToQ+°8%&A45"6->2#; %&>s:45$#),CA.8#&()#; .1'iC %&A.y8#" -j~.>@h45)¢4(.>CA4*),2J&I->),&A&(.1-14z45&A.R%4('i.1+34(C+#.R%&I45$#.y9),2#+#@#%&APr'*)O?"6+#v¢ %; ; 8#&A),#;6.>'%+#@d+#.R%&=4($#.¶->.1+34(.>& 4(&("68:),;6. H ),&A'%4(" ),+ST. Ê!óAô. õc-/-÷øÿ¹-68-ó`úa-Mö8]öø_7`ú÷3/ù`ÿ[øûpö2/ù1-øJö+9\úø. Ü.|CG4j%&G4Y),2#&*+32#'*.>&("6-R%;c4(.>CA4(CYP§-j$J.>-j~3" +#v}4($#.¢%->->2J&5%-SP§) H ),2#&iKLK¿MEQ#%C(.1@ H %CG4#"6$%&A'i),+J" -¶C(),;{O,.1&),+`%@J" C(~T¤ÜÕ.ICA" '*8#;6P45.>CG44Q)y.S¸J%-14C(),;62J45"6),+#C¤) H 45$#. .10?2#%45"6),+ T %C ÆjÇ,[ Æ Ï > Æ¿-1),CÇ, Ï $ Ï ÆjÇÁ è « ùúû9ü ? üþý ÿ . ÆjÇ,nÌ. Ï ÆjÇ,Ï Ï ÆB5Ç,. Ï#T Ï#T¡ ,. Mc$#./t&ACA4¤C(); 2J4(" ),+y"6C¤-j$J),C(.1+¢%C 4($#.¶C5%'*.¶),+#.¶2#C(.1@"6+¯±Ò²ÑT MN%#; . C($#)¥=C4($# . n.>&(&A),&(C H ),&),2#&[4(.>CA48#&()#; .1'iC1TKP!.1&(.s?.!tJ¸z4($#.¤+?2J'zE 9.>&µ) H v,&A" @*8:)" +45C" +*45$#.!%³1" 'I2J4($%;@#"6&(.1-145"6),+i%C âßnÒÏI%+#@*O%&APz45$J.!+32#'I9.>& ) H v,&A" @I89),"6+34(Cµá " +I45$J.c&5%@#" %;?@#" &A.>-14(" ),+T¿o´4["6C[->; .>%&¿4($%4[9)45$-1),+O,.1&(v,.1+34&5%B45.>C %8J8#&()%-j$z4Q)#TLMc$J.>&(. H ),&(.s3),2#&['*.145$J)k@"6C[" +#@#.1.>@zC(.1->),+J@kEQ),&A@#.>&%->->2J&5%4(. H )&¿45$#. #"6$%&A'i),+J" -u.1032%45"6),+T F .>&A&(),& à¤%45. ý.1&(&()& Ï à¤%4(. kT±ÏÖ½Ò,Þ¿EØÌÏ E E Ò T , ³, Þ¿EØÌ,½ ½ ÒJT¾½ïÒÌ,Þ¿EØÌÐ ½kT Ò,Ì,Þ¿EØÌÏ T&,Ò T&, ÒÏ kT¡Ìï &,Þ¿EØÌÐ T¾Ò Ò,Þ¿EØÌÐ T&< T&³ Ï#T¾Ìï³Ò,Þ¿EØÌ,Ò ?T¡Ì,½ÏÌ,Þ¿EØÌÐ ³ T&<& T&³& ,ÐÒ ?T¡Ì,Ì Ð?T Ì,Ð, Þ¿EØÌ,Ò T¾Ì ½Ò,Þ¿EØÌ,Ò T&³& MN%#;6. Â .>&A&(),&AC H ),& 45$#.¶#"6$%&A'i),+J" -.10?2#%45"6),+T. .

(32) Ê!óQò. õc-/-÷øÿ¹-68-ó`úa-Mö8]öø_7`úÅÿa\!ùØúø Ö(E#öËöúaGkö2+9\úø. oQ+d45$#"6C!.¸#%'i8#;6.s.I-j$#.>-j~^45$J.I%-1->2#&(%-1Pd) H )2#&!CA-j$#.>'*. H )&¤4($#.IÛ!%¥O?"6.>&GEØD?45)~.>C .10?2#%45"6),+#C>TLÜ.u$#%¥O.u4j%~.>+i45$#..¸J%-14C(),;62J45"6),+ H )&µ4($#./Ûu%RO?" .1&GEØD?45),~.>C.>032%4(" ),+#C %C 59 L } T Ï À

(33) ->)C#u-1),C:Áã59 [ T Ï À

(34) -1),C#!->),C9¼ Ï#T¾½ á Ø Ø Mc$#. H 2#+#-14(" ),+JC%&(.i@#.>CA->&A" 9.>@w" + Ê %&A4(.>C(" %+}-1)k),&A@#" +#%45.1C H ),&C(" '*8#;6" ->"{4QP`) H 8#&A.SE CA.>+4j%4(" ),+T[Mc$#.%-1452#%;->)'i8#2k4j%4(" ),+#C=%&(.%; ;:" +^89),;<%&->)?),&(@#"6+%4(.>C>T oQ+Õ)2#&/45.>CG4Rs.*2#CA.Yá ãÕâ v,&A" @°8:)" +45C/"6+x4($#.z@#" CA~`C()^45$%4¶4($#.>&A.%&A.iá 89)," +4(C!"6+45$J.&5%@#"<%;@#"6&(.1-145"6),+%+#@`â 8:),"6+45C¤" +4($#.I%³>" '2J45$%;@J" &(.1-14(" ),+T=Mc$#. à=.1P?+#),;6@#CI+32#'I9.>&"6CÛ5¢ ÌJTxMc$#.Y45"6'i.iCA4(.>8h" CI-j$J),C(.1+§%C ÌJ¼¾Ì %+J@ Ø YC($#)¥=C¶45$#. 4($#.*%8#8#&A)¥¸k"6'%4(.IC(); 2J4(" ),+#C!.1&(.*->),'*8#2J4(.>@°2#8°45) i kTM¿%J; .* .1&(&()&(C H ),&@J"6£:.>&(.1+4+32#'I9.>&) H v&(" @x89)," +45C1Td·+#.i->%+}.>%C("6;6P`CA.>.i4($%445$#. CA.>->)+#@kEQ)&(@#.1&%-1->2#&(%-1Px$%C9.>.1+w%-j$#"6.1O,.1@ H ),&¶9)45$°45$#.*CA4(&(.>%' H 2#+#-S45" )+Õ%+J@ 4($#./O,),&G45" -1"64QPT FÉãÛ Òãµ½ ½ ãµÒÏ ÒÏÔã ³ ³ã ,ÐÒ. .>&A&(),&;ã à!%4(. .>&(&A),& á à!%B45. ½JT¡ Ïï Þ¿EQÌÏ JT¾½,Ò,Ì<&,Þ¿EQÌÐ kT Ò<&,Þ¿EQÌÐ ÐkT¾½,½ï, Þ¿EQÌ,Ò. E T&,Ò T&ï T&<&. T¾ÒÐ,Ð,ÐÞ¿EQÌ,½ ÒJT¾Ì,½,Ò Þ¿EQÌÏ T½<&,½,Þ¿EQÌÏ Ï#T ½<,Þ¿EQÌÐ. E T±ÏÒ T,Ì T<. M¿%J; . kÂÈ.1&(&A),&(C H ),& 4($#.Ûu%RO?" .>&ØEGD?4(),~.1C=.>032%4(" ),+#C1T. Ê!óWV. ö \!ùÌ }ÿ,++o)øö35+Gúû. Mc$#./'*)¥O?" +#vE %; ;8#&()#; .1'"6C %l)¥n8#&(),J; .>'pv,.1+#.>&(%45.1@^3Pi45$#.45%+#v,.1+45"<%;:'*)E 4(" ),+) H 4($#.9),2#+#@#%&AP) H 4($#.@J" C(~TNMc$?2JC>s,45$J.&5%@#"<%;39),2#+#@#%&AP¶O,.1; )?->"{4QP¶" CN%;6%RPkC ~.>8J44()`:. è 5Ç,ÌkTLP!.>&A.s[.y-j$#)k)C(.Y45$J.yC5%'*.Y%³1" 'I2k45$%;u 45%+#v,.1+45"<%; 9),2#+#@#%&APYO.>;6)k-1"64QPy%C¤"6+¯ÖÏ² ->)C:ÇCA" +=Çk¼ Ï#T±Ï3 Mc$#"6C!8J&(),#;6.>'º"6C!-j$#)C(.>+¢4()i4(.>CA4!45$#.+32#'*.>&("6-R%;Ô4(&(.R%B45'*.>+45C!+#.R%&=45$J.9),2#+#@%&AP H ),&[)2#&Ûu%RO?" .1&GEGD345),~.>CµC(),;{O,.>&CA" +#-1.=4($#.cO,),&G45"6->"64QPI" C[v,.1+#.>&(%45.1@iP45$J.¤'*)¥O,.1'i.1+34 ½.

(35) T=4. T=8. K¿"6v,2#&A. ÂNÓ),&G45" -1"64QP-1),+45),2J&(C/ ; . H 4[%+#@iCA45&A.R%'*; "6+#.>C¤ &("6v,$4L) H 4($#.!'*)¥O?" +#v¶ %; ; 8#&A),#;6.>'="{45$RÛ5 Ì,ÌJT ) H 4($#.u9),2#+J@%&APTµ·+#.-R%+y.S¸k8:.1-14c4($%44($#.u'i%B¸k" 'i%;O,)&A45"6->"{4QPi)?->-12#&(C+#.R%&µ45$#. 9),2#+#@#%&APT oQ+x),2#&¶&(2#+s.*2#C(.i% ³Yã ³yv,&("6@x%+#@°45$#.45"6'i.CA45.18 ÌJ¼¾Ì TzMc$#. -1),'i8J2J4j%4(" ),+JC=.>&A.-1),'i8J2J45.1@|2#8d45)i4(" '*. i ÉkTcK¿" vJT %+J@¢K¿Ø "6v#T9 zCA$#)¥Å45$#. O),&A4(" ->"{4QPw->)+34(),2#&AC%+J@g4($#.^CA45&A.R%'*; "6+#.>Cz%B4*4(" '*. i Ïx%+#@ i H ),&4Q) @#"{£.1&(.1+34à¤.SP?+#),; @JC+32#'I9.>&(CÛ5I Ì,Ì%+J@LÛ5 ½Ì,ÌJs9&(.>CA8:.1-14("6O,.1;6PT·/+J.-R%+ CA.>.4($#.l)¥ý" C!#&(.>%~3" +#vi" +45) H ),2#&¤0?2#%@#&5%+34(C=$#" -j$|" Cu9.>->%2#CA.45$#.I%³>"6'I2J45$#%; O.>; )?->"{4QPiÏ#T±Ï3Ô-j$%+#v.>C¿CA" v,+ H ),2#&45"6'i.1CN),+45$#.:)2#+#@%&GP,T¿Ù.>CA" @#.1C>s4($#.v,&(%@#"6.>+45C ) H 4($#.Ò,),&G45" -1"64QPÉ->),+4(),2#&(C^) H 4($#.°-R%CA.LÛ5 ½Ì,Ìw%&(.`CG45.1.>89.>&y45$%+m4($#.`),+#. ),JC(.>&GO,.1@%B45Û5I Ì,Ìz=$#" -j$`&A.1l.1-145C4($#.I'*),&(.@#"{£2#CA" ),+|) H 45$J.O,),&G45.¸`" +d45$#. ; %4(4(.>& ->%C(.T. Ï.

(36) T=4. T=8. K "6v,2#&A.u ?ÂNÓ),&G45" -1"64QP-1),+45),2J&(C/ ; . H 4[%+#@iCA45&A.R%'*; "6+#.>C¤ &("6v,$4L) H 4($#.!'*)¥O?" +#v¶ %; ; ¿ 8#&A),#;6.>'="{45$RÛ5n½,Ì,ÌJT. Ð.

(37) Ê!ó;Ê. éiøù)ö+GúÉ]öµøû ÿ#ùGö. Qo +`),&A@#.>&!45)O.>&(" H P|4($#.O%; "6@#+#.1C(C) H )2#&+32#'*.>&("6-R%;45&A.R%4('i.1+4/+#.R%&u45$#.->.>+4(.>&>s .89.>& H ),&('ä45$J.C("6'i"6;<%&u+?2J'i.1&(" ->%;C("6'I2#;<%B45" )+x) H 45$#.*45&A" 89),; . H ),&A'%4(" ),+x%C" + ¯ ½B²ÑTµo´4!$#%C!9.>.1+|CA$#)¥=+|" +^; %:)&5%4(),&APY%+#@d->),'*8#2J4(.>&=.S¸k89.>&("6'i.1+45C¯ Ï²Ô45$%B4u% CA$#" .1; @#.1@¢'i)+#),89),;<%&cO),&A4(.S¸:s=$#.1+x89.>&G452#&A:.1@s:="6; ;8#&A)k@#2J->.%4(&(" 89),; %& O,),&G45.¸T Mc$#.8#$P?C(" -1C/%+#@|-j$%&5%-145.1&("6CA45"6->C¤) H CA2#-j$¢45&A" 89),; . H ),&A'%4(" ),+d%&A..>;6;N.¸k8#;<%"6+#.>@ "6+ ¯ Ï²ÑTÅMc$#" CY.¸J%'i8J; .|CA.>&GO,.>Cd%}89.>& H .>-1445.>CG4 H ),&*45$#.`-1)k),&A@#" +#%45.dC("6+#v,2#; %&("{4QP 4(&(.R%B45'*.>+4=" H .¶8#; %->./4($#.¶'i),+J),8:);<%&µO,),&G45.S¸^%4=45$#.¶->.1+45.>&1T ®uC="6+Õ¯ ½²ÑsJ4($#.¶" +#"{45"<%;9O),&A4(" ->"{4QPY8#&A)t;6./" C=v,"6O.>+^P h · Æ ùè Æ[ Ï#T¡Ð, á $ n r l =$#.1&(.4($#.8%&5%'i.S45.>&*·É-1),+45&A),; C=45$#.CA4(.>.>8J+#.>CAC/) H 45$J.O,)&A45"6->"{4QP^v,&5%@J" .>+4(Cu%+J@ ->),+45&A),; Cy4($#.CA" ³1.) H 45$#.°'*),+#),89),;6.T·+#.->%+.R%CA" ;6P C(.>. H &()' Ï#T¡Ð,su45$#. 'i%B¸k" 'i%;O,),&G45"6->"64QPi)?->->2J&(Cc%4 ÆnÌJT[oQ+y),2J&45.1CA4Rs#4($#.8%&5%'*.14(.>&(C %&(./-j$#)C(.>+d%C ·ÉË½Js s%+#@`45$J.ßà¤.SPk+J),; @#C/+32#':.1&äÛ5ip ÌÌ,ÌJT¶ÜÕ..¸k4(.>+#@°45$J.*&(%@#" %; -1),'i8J2J4j%4(" ),+#%;:@J),'%" +i4()ÆÏI=$#.1&(./45$J./+#)EQCA; "68->)+#@#"64(" ),+JCc%&(.u" '*8:),CA.>@y),+ 4($#.¶:),2J+#@%&GP,T[ÜÕ.¶2#CA.% ³zã ³v,&A" @d%+#@^45$#./4(" '*.CA4(.>8 qÌJ¼¾Ì,ÌÐkT M)C(89.>.1@2#845$J.45&A" 89),; . H ),&A'%B45" )+s%u&5%+#@#),' 89.>&A4(2#&(#%45"6),+Ø $#%CL9.>.>+I%@#@#.1@ 4()h4($#.¢O,)&A45"6->"{4QP @#"6CA45&A" #2k45" )+r) H Ï#T¡Ð," +r4($#.`+#.>"6v,$3:)&(" +Jvw&(.>v" ),+r=$#.1&(.`45$#. O),&A4(" ->"{4QP|-j$#%+#v,.1C/C(" v+TK¿" v#T:½y%+#@°KN" v#T9ÏYC($J)È45$#. H ),&('i%45"6),+|8J&()?->.>CAC/) H 45$#. 4(&(" 89),; %&O,)&A45.¸ H &(),' i Ìx45) i Ì,ÐkT§®!C*4($#.d4(" '*.y.1O),;6O.>C>s 4($#.d" +#"{45"<%; O),&A4(.S¸hCG45&(2J-1452J&(.dC()?),+h#&(.>%~3Cz4($#.^CAP?'*'i.S45&APT}Mc$#.^->.1+45&5%;89),C("{45"6O.¥O),&A4(.S¸ 9.>-1),'i.1C.1; ; "68J45"6-R%;%+#@y%;6),+#v4($#.u;6),+#v,.1&CA" @#.1C45$J.+#.>v,%45"{O,.!O),&A4(" -1"64QP*),&(v,%+#" ³1.>C "6+34()*4Q)C(%45.1; ;6"645.O),&A4(" -1.>C>TMc$#" C¤CA4(.R%@JPd-1),+Jtv,2J&5%4(" ),+^45$#.1+|&A)4j%4(.>C!%9),2J4=45$#. -1.>+45.1&) H 45$J.I8:)C("64("6O.O,)&A45.¸¢-1),&(." +4($#.ICA.>+#CA.) H 45$#.8:),CA"64("6O,.¶O,)&A45"6->"{4QP,TMc$#. 4(" '*.u.1O),; 2k45" )+y) H 45$#./89.R%~*O,),&G45"6->"64QPi) H 45$J./8:),CA"64("6O,.%+#@^+#.>v,%45"{O,.uO),&A4(" ->.1C¤%&(. CA$#)¥=+i"6+K¿" vJTÐkTL·/+J.c-R%+zC(.1. 45$#.c89.R%~O,)&A45"6->"{4QP@#.1->&A.R%CA.>Cµ@#2#.c45)4($#.c@#"6£:2#CA" ),+ .S£.1-14RT. a2ÓyW¢\ ð1ì/]*ï ì/WYX M $#.%2k45$#),&AC .1&(.¶C(2J8#8:)&A45.1@"6+^8%&A4 3P45$#.Ûu%B45" )+%;Dk->"6.>+#-1. Ê )2#+#->"6;) H M¿%"{E c %+d2#+#@#.1&¤&A.>CA.R%&A-j$¢v,&5%+34¤ÛuD Ê E1& EG ÐEGFyEØÌ,Ì<&EØÌ ÒkT. Ò.

(38) T=15. T=0. T=30. T=45. K¿"6v,2#&A.½kÂdÓ),&G45"6->"64QP}->),+45)2#&i8J; )4(C*) H 45$J.45&A" 89),; . H )&('i%45"6),+ H &(),' i Ìx45) i n Ï3ÐkTEñ Eñ#89),CA"645"{O,.O%;62#.>C1sñ6T ñ+#.>v,%45"{O,./O%; 2#.1C>T. .

(39) T=60. T=75. T=90. T=105. K¿"6v,2#&A.iÏ#ÂzÓ),&G45" -1"64QP°-1),+45),2#&8#; )4(C) H 4($#.4(&(" 89),;6. H ),&A'%B45" )+ H &A),' i Ò,Ì45) i ÌÐkTEñ EñJ8:),CA"64("6O,.O%;62#.>C1sñ{Tþñ+#.1v%45"{O,./O%; 2J.>C>T. .