Domain Optimization Problem for Stationary Heat Equation
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Texte intégral
(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. Domain Optimization Problem for Stationary Heat Equation Antoine Henrot, Werner Horn, Jan Sokolowski,. N˚ 2788 Janvier 1996. PROGRAMME 6. ISSN 0249-6399. apport de recherche.
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(20) ^doV fBggSO/bSt4O g t%Rng¦g t4V]od_f4V RHN O;NST :± =¶. .. . . . = °. d_b¦^O4fHgSd_f4`4O;`%b£O;fg t4VbSv%RH^V ; l VXRHNPVQHOHd_f4Q#gSO,l4Vhf4Vg t4VbPVagO9 RHl%T§dbJbPd_4]eV#^a`%NPHV b °d_fpbS`%^tpR R ¡g t%R9g¦gt4V,]ed_f4V RHN' O;NST d_b^O;fBgSd_f;`4O;`%b yO8g t4d_bV f%l Vl4V f4OBgSV/H g t4V^a`%V 4¬´LV4¬´ k%B<. g t4VdfBgSV NP9R9] ¸ ì; 8 © 5 !® #"%$ QHdoHV f^a`%NPBYV °d_bU^aR9]o]oV lDRBl%T d_bSbPd_4]oVpdÆ,g t4V NPV8Va4dbg b RO4f4/V |;gSO |;O4f4V TURBv%v4df4'Q & ±(¶*)Uk t4V NP+V )wl4V f4OHgSV b RBf O;v%V f¡f4VadeQ4t;O;`%NSt4O4O{lO9 °d_f bS`%^ t§g t%R9g . . 0. & , P f) 1 0 4 2 6 3 8 5 7:9 i . & . /. &P-§L®° . &; . / 10 2<3>=?7:9. 9. . 9. 5
(21).
(22). . M NPV bS^aNPd_4d_f4Q `%f4di O;NST O;`%f%l% b 9 9 9 *RHf%l?RHbSbS`%T§df4Q°g t%R9gUg t4V8 OH]o]oO d_f4Q ^O;T¡v%RH^g f4V bSb^O;f%l4dogSdoO;f8d_b#bSR9gSd_b h>V l 1@)
(23) 2zdoHV fR¡bPV j;`4V f%^V &y» t4d_^ tpbSRngSdih>V b`%f4di¥O;NJT ]og t4V,]_R9gJgSV N%O;`%f%l%bakg t4V NPV#Va;d_bPg bR bJ`%%bPV j;`4V f%^VHk1bPgSdo]o]cl4V f4OHgSV lpBA &y»pbS`%^ t8gt%R9g . V R H]oUd_f<9. ¼B&+» C D +w ¼¬¶ ¼E&+C F /w¼. . +G . ´ ´ ¸ H H!I.
(24). Q. V/l4Vhf4VRBfRHl%T§dbJbPd_4]eVZ RBT do]e J<K> °pd_bXRBl%T d_bSbPd_4]oò V ¼ -@ ¦d_bbSR9gSd_b h>V lk . & . / 10 2<36587:9 9?RHf%l . &; . / 10 2<3>=87:9 9 t4V NV 9® d_b#R/QBdeBV fp^O;f%bPg RHfBg ¡© °>M LN"O$ ?degt4O;`4gg t4V,RHbSbS`%T¡v4gSdoO;)f 1@)
(25) ¦O;f8g t4V¿RHT do]oPJ<K V¤^aRHf%f4OBg\Va%v%V ^gg t%R9g O;NRHfBpbPV j;`4V f%^-V °w»4".NJ<Kck1g t4V NPV,Va4d_bPg bR¡bS`%%bPV j4`4V f%^VHkbPgJde]o] l4V f4OHgSV lpB°w»4bS`%^t g t%Rng ¶ V R (|RQD dfªg t4V/bSv%RH^V ?; l2Ä C . . . / . . Q. æ ÜÊó æ à.
(26)
(27) "!#%$&'()&(+*-,. / 021 34)( 0. ^O;`%fBgSV NPVa%RHTUv4]oV¤^aRBfp%V^O4f%bPg NS`%^gSV l¡`%bPd_f4QA&y»4ªy+«L ªo/« X`%Nv%NPO;4]oV T V ^O;T V bf4O 8df4d_T do¢aV g t4V,^O;bPg¿`%f%^gSdoO;f%R9] . ÊÍ°Ê .. ¦ ¸ ¦. . » oªÄ;. z. 6EGF. .. t4d_NSV RHN^ V T ¦ V RBl4bSV `%f4NPOBV"gSV bRUd_fbPOHg ]_t4`4VUgSdo%O;O4f¡`%gSf%O l%g RHt4NPV,bP^g O;R9f%gSl4doO;dogSf%doRBO;NPf%Ubakot4¦V R9 gd_b,V j;R8`%R9QHgJdoHdeO4V f fª O;`%Nf%RH^gJfBdeO4f° kyRHf%J<l K. RH f%. l¡d_g b,t4RV f4O;NJTpk4O;NRUbPV T d_f4O;NST O;f8gt4V/bSv%RH^V ; Ä2 t4d_^ t do]o] %V/bSvV ^dÆh>V lª]_R9gSV Na ¡© °>M L $ Vp`%bPVgt4V RHO9HVl4Vhf4dogSdoO;f°O9¤RbVag/O9XRHl%T d_bSbd4]oV^a`%NPBV b J<Kkqbdf%^V bS`4V dogSV l¡RBfH O;gN gSO;O `%RHN¦v%RHv4v%]ov4]od_RH^aR9fgSdoRHO;v%f%v%b NPg O;t%v%RBNPf d_R9gJg VUt4V,g NSbPRHd_TU^V¡v4]og V/t4Val4O;VNPhV f4T degJdeO;O4Vff8O9° c ^a`%;NP`%H^ V tb¦Rv%RBl4NSVRHhT f4Vadog gSNdoO;de¢afV l§d_bUO}BV VaN gSgSRHV f N d_fBgSV NP}Rn]¥ ¡© °>M L !$ V¤^aRBfUNPV v4]_RH^V Vhf4degJdeO4f,B§RT O;NPVQHV f4V NSR9]>f4OHgJdeO4f O9c-R >d_v%bS^ t4dogS¢ad_RHf TURBf4dÆ OH]_lk t4V NPV#g t4V#Va;d_bPgSV f%^V#O9qRZQH]oO;%R9]yv%RHNSRBT Vag NPdo¢ R9gSdoO;fd_bf4OHg\NV j;`4d_NPV lL V/v%NPV V N gSO O4N degt8g t4V/QH]oO;%Rn]cv%RHNSRHT§Vag NPdo¢ R9gSdoO;f§¥O4N¦gt4VbSR nV,O9 bdT¡v4]ed_^dogPH,t4V/bSRHT V/NV bS`4]og ^aRHf%V8O;4g Rndf4V l O;N,g t4V8T O;NPVUQBV f4V NSR9]\bVagSgSd_f4QO9XR >d_v%bS^t4dogS¢ad_RHfTURHf4di OH]_lkqv%NO}4d_l4V l g t%Rng/g t4Vp`%f4di¥O;NJT O;`%f%l%b RHNPVpv%NPV bS^aNPd_V l dog tgt4V bSRBT V >d_v%bS^t4dogS¢^O;f%bPg RBfHg# O;N RHfB ^OH]o]oV ^gSdoO;f O9X^ t%RHNg ba 'bPd_f4QRv%RHNgSdogSdoO;fO9¤`%f4dogP*g t4Vpv%NPO;4]oV T ^aRBfV]oO%^aR9]ode¢aV l d_fR bPgRHf%l%RHNSl R H ¡© °>M L $ HO;T V^]_RHbSbPV b8O9RBl%T d_bSbPd_4]oV^a`%NPHV b¡d_fg t4V*v4]_RHf4V*RHNPVd_fBg NPO%l%`%^V lH XRBf4de]od_` XRHf4do]ed_` 1ky 4%z
(28) cd_fg t4V#¿NSRHT V O;N ZO9 dfBgSVaQ;NJR9]V j;`%R9gJdeO4f%b¦d_ff4O;wf ¿bST O4OHg t l4O;T¡R9d_f%ba Xf*g t4V8OHg t4V N t%RHf%lkdogbPVaV T¡b,gSO*%Vpv%O4bSbPd_4]oVgSO`%bPV bO;T V¡ RHT§de]odoV bO9¤RHl%T§dbJbPd_4]eV ^a`%NPBV b/l4Vhf4V l*B*`%bPd_f4Q ^aRHv%RH^dogPgP{vV§^O4f%bPg NSR9d_fBg bak t4d_^t*v%NPO;%RB4]e*RHbJbS`%NPV g t4VUVa4d_¢b gSV f%^V,On£R bPOB]`4gJdeO4f8dfpR bP]odoQ;tBgS]o d_l4V N^]_RHbSb ¦`4gg t4d_b RHv%v%NPO;RB^ t d_bNJR9g t4V N¦^O4TUv4]od^aRngSV l RHf%l deg,d_bf4OHg,Va;d_l4V fBg,g t%R9g,bS`%^t RBT do]edoV bZO9\RHl%T d_bSbPd_4]oVp^a`%NPHV b#^aRHf%VUO9RHfBd_fHgJV NPV bPg O;N,gt4V§f4`%T V NPd_^aR9]T Vag t4O%l%ba VpNPV V N#g t4VNPV RHl4V N#gJOpg t4VT O;f4OBQ;NSRHv%t >doV T V Nak H|H
(29) O;Ng t4Vl4Vhf4dogSdoO;fRHf%lv%NPO;vV NPgSdoV bO9\^aRBv%RH^dogºHkRHf%lªgS<O `%^a`%N'k >OB]eV bdeO1k>gSOpRHv%vV RHN
(30) O;N bPO4T VNPV bS`4]og b#d_f°g t4V^aRHbVUO9'RBl%T d_bSbPd_4]oV l4O;T¡R9d_f%b dog t*^aRBv%RH^dog RHNP^O;f%bPg NSRndfBg b'¥O4N,t4DO T OBQHV f4VaO;`%b d_NPd_^ t4]oVag/v%NPO44]eV T¡ba ºfgt4V§v%NV bPV fHg/v%RBv%V N VUNSR9g t4V N#`%bPV g t4VUf4OHgSdoO;fO9R QHV f4V NJR9]ode¢aV lbPOH]_`4gSdoO;f8gSO g t4V/v%NO;4]oV T l4Vhf4V lpd_fpbPV ^gSdoO;f 5
(31) , ® ®D 5 5® "O$á(4*ò /)# 3w ° J K 4 _ & / !/ . 5. . . . / . U. . . . . 1. G . . 5. óoó &È Ï/ô+Þ/Þ. . . .. . L °.
(32) |. 4' & _, 4l #+& #2,/ $Ð (( . . .
(33) . + (44343 Lì P&/<>ì 34
(34) & + /3wD . . 9 '° K ì #l ? 92 ( '° Ê ° _ ì P òÍ!2° ¬Í ! HO;N/RBfVa]oV T V fHg ; l2# g t4VUg NJRH^V O;f U d_b/R9]_bPOl4V f4OHgSV lH RHf%l g t4V g NJRH^VbSRngSd_b h>V b ; k VNPV V NgSO< l%RHT¡bakcL4z
(35) \RBf%l l> doO;f%bk R9QHV f4V bk HWH|
(36) . . L. . . . . G. . $. 5. . O;N,R8v%NPO;On hNSbgXd_TUvO;NPg RHfBg,j;`4V bPgJdeO4fd_bak t4Vag t4V N#O;N#f4OHg,dog,dbv%O;bJbPd_4]eV¡gSOl4Vhf4VUR g NJRH^VO;-f °p O;N¦RBfH Va]oV T V fBg\Oncg t4V,bSv%RH^V ; t4V,v%O4bPdogSdoHV¤RBf%b V N d_b O;4g R9d_f4V l8H RHv%v4]o4d_f4Qg t4V,gt4VaO;NPV T O9 V bPO9 | 'bJv4deV f%b Hdod l%RHTUbak%t%Tp1z; H|
(37) + t4V,d_farSV ^gSdoO;f8Onqg t4V,bSv%RH^V ; $( * d_fHgSO 9 $( *. d_bX^O;fBgSd_f4`4O;`%ba >Vag`%b\bJt4O g t%Rng¦dií ¦%d_bd_) f ; g t4V¿`%fBgSdoO;f ¦
(38) ¡¦ &l4Vhf4V l8O;f %Va]oO;f4Q4bgSO g t4V/bJv%RH^V ; V f%^VHk%dogd_bbS `
(39) ^doV fBggSOUv%NPO9HV#g t%R9gg t4V# OH]o]eO d_f4QUd_fBgSVaQ;NSRn]>d_bhf4dogSV ¼¦á
(40) ª ¸ ¦
(41) «¼ ª§« ºW
(42) 5 5 ¼ ª «¼ 0. 5. 0. . -U. 0. 1 . . . . . 3&. .. . .. K. ¸ ¼ á ¦ ,&PªÄ ¸ ¦,&P¢«4l ¼ 5 5 wª&w« ¼ ª ¸ «Ð¼ V/l4V f4OHgSV%ª& &Pªá++« &P« kмP& ; 9¼ gt4V¤l4VagSV NJT d_f%RHfHg On£~BRH^O;4d_RHf & ; ¼ ¦ª§ ¦«#¼ = = ¼E& ª§ ¸ & «¬¼ ¼P& ; ¼ wª&/w« ; ; ¸ Hd_f%^V/gt4V/TURHv%v4d_f4QP&d_b%1 dv%bJ^ t4dogS¢Hk 9i¼E& ; ª§ ¸ & ; «¬¼ 9iD¼ ª ¸ «¼ E¼ &Pªá ¸ &P«¼ ¼ ª§ ¸ « D¼ RHf%l ¼ P& ; ¼ 9 H 9 D. .. .. . .. . .. k;t4V f%^V S z
(43) º|
(44) º
(45). . g t4`%b. 9. 9 9. H. . . .. .. =. =. ¼ ¦ª§ ¸ ¦«¬¼ wª&/« ¼ª ¸ « ¼ . bPd_f%^V¦ <; t4V/g NJRH^V/O;vV NSR9gSO4NTURHv%b ; , \d_fBgSO 9 ,_¬XBpg t4V g t4VaO;NPV T On qV bO}RBf%l b¢ v4doV f%b Bdod¥k d_b l4Vhf4V lBT V RHf%bZO9g t4VTURBv%v4df4Q & k¦RHbRpg NSRB^VUO;v%V NJR9gSO;N'¥O4N,g t4VbJv%RH^V ; )¦d_fHgJOUg t4V/bSv%RH^V 9 Í°Êk9¿`%NPg t4V NST O4NPVHk . 5. . . . . U. . . . . K 3 7:9 . . . . . 3>=87 9. . . . . 3 7. æ ÜÊó æ à.
(46) 9ºdog /t 9i . 9 9f O;N9 ° k 9iJ Ky9ºfRHN4VXdoV g t4VO91¦dgv%t4bJV/^ t4^doO;gS¢ fHgJ^df4O;`4f%dobPgPg pRHfBO9g ¦bg O9t4:V,&"g NSRHRBf%^V/l O;& v; V NSR9gSºO;fN v%; RHNPgSld_2^a`4 ]_¶ RHN ; ¦dog OH]o]eO b'g t%R9g . . K 3 7 9 . . 3 7
(47) dog tpR¡^O;f%bPg RHfBg 9i¬9 #2 ct4V NPV¥O4NPV
(48) "!#%$&'()&(+*-,. / 021 34)( . . . 5. . . . . .. 9 . . L ° . . . '° . G. .. . D°. '° . . 9 . I. . 1 3 7. t4d_^t^O;T¡v4]eVagJV b¦gt4V/v%NPO;On fpRHl%T§dbJbPd_4]eV ^a`%NPHV,d_bl4Vhf4V lªdf8gt4V/v%RHNSRHT VagNPd_^ O;NST . . 0. ªá l « l . t4V NV& . .. . ; . &. +*. . . *5. +*. ª C l « C l¢ f +*. +*. /*. .. . ; . ¸ . . dog¥OB]e]oO bgt%R9g. J<K. V$. . '° L. +*. db4d¥|§>d_v%bS^ t4dogS¢ TURHv%v4d_f4Q> HO4N°. ,& F& . /+w /+w. &. +*. (. 5. D. !& /+w! ! & +/w Ъ ª . . +*. . . +*. K. *. 9 H. 9. g t4V NV¥O;NVUg t4VU]oV f4QHg t°O9XRHl%T d_bSbd4]oVp^a`%NPHV bZdfgt4VbPVagJ Kdb `%f4di O;NST ]oO;`%f%l4V lk %`4g g t4Vp`%f4di¥O4NST%O;`%f%l4V l%f4V bJb/On'gt4VU]oV f4QHg t°db R V R 9V NX^O4f%l4degJdeO4f O;N,R^a`%NHVUg t%RHf g t4V ^O;f%l4dogSdoO;fªgSOU%V RT§V TV N O9 J Kc t4V^]_RHbS+b J K d_b/bS `
(49) p^deV fBgS]o*bSTUR9]o] gSOpO44g R9d_f*RHfVa4dbgSV f%^VNPV bS`4]ogZ¥O;N#gt4V§v%NO;4]oV T `%f%l4V N^O4f%bPd_l4V NSR9gSdoO;f%ba
(50) , ® ®D 5 5® $2 V /1 34 / Í! #3 2°»V J<K ì l + R 3w %° J<K . '. . +34 /1 34 / ° » +3 :ì ¶ i +
(51) QD%>ì
(52) / .; ¶ ! <; N. . . . . ¬Í! zdoHV f °»- &o»§,. J . &o» . / 10 2 9 5. . óoó &È Ï/ô+Þ/Þ. 5. . ck V,t%R BV 9 RHf%l K. . & »;. . . / 1 0 2. . Ä2l C l2 9. 9. 5.
(53) 4' & _, 4l #+& #2,/ $Ð (( 8g t4V,g t4VaO;NPV T O9 bS^OH]odyg t4V NPV#Va4dbg bR¿`%f%^gSdoO;f& t4d^t8d_bX^O4fHgSd_f4`4O;`%b O9HV N "bS`%^t g t%Rng¦ O;NRUbS`%%bV j;`4V f%^V&y». &o» ¢ªL¶ &Pªá `%f4di¥O4NST ]oO9HV N t4V¿`%f%^gSdoO;f%b &y» RHNVX`%f4di¥O;NJT ]oY 1 d v%bJ^ t4dogS¢,^O;fBgSd_f;`4O;`%1b 0 2 do9 g t g t4V,^O;f%bPgRHfHg-9k4g t4V#bSRHT V NPV T¡R9d_f%b}R9]od_l8 O;N & k%g t4`%<b & , 10 2(dog t 9 . & . / 9 Vl4V f4OBgSVM°> &P, . . / ;`%NPg t4V NST O4NPVHkHg t4V,d_f4V j4`%R9]odogº & » ; 9d_TUv4]odoV bgt%R9g ¼B&o»4¢ª ¸ &y»4«¼ 9 ´ ¼ ª ¸ «¼ Ъo/« H%
(54) t4V f%^Vg R Bdf4Q g t4V,]od_T dog#deg'¥OH]o]oO bg t%Rng ¼E&P¢ª ¸ &P«¼ 9 ´ ¼ ª ¸ «¼ Ъy+« x
(55) V l4V f4OHgJV )S &P, k g t;`%b§g t4V NPV8Va;d_bPg b§g t4V d_fBt4Hd_V ^NStDbPV bSTUt4O RH v%bv4d_g f4t%PQ Rng& & d_b¡±O;) f4/V ¶ |;gS(O ¡|;O;k f4& VH; %Vad_f4Q >d_v%bS^t4dogS¢^O4fHgSd_f4`4O;`%b dog t8gt4V^O;f%bPgRHfHg ; 9 dfª;doV Onqg t4V,]_R9gJgSV N df4V j4`%R9]odogPH¦t4V NPV O;NP%V ° J<Ky HO;Ng t4V/bSR 9VXOnqbPd_TUv4]od_^degP V,l4V f4OHgSV/B°»Ugt4V/bS`%%bPV j4`4V f%^V_°» V,RHNPVQHOHd_f4Q,gSObJt4O gt%R9,g ^O;fBHV NPQHV bgSO q£O/gt4db V f%l VXRBbSbS`%T Vg t%R9g gt4V NPV d_bQHdoHV fpRU^O;fBgSd_f;`4O4`%b¦O4f ¿`%f%^gSdoO;f k{t4V f%^V O;NPgt . . .
(56) . 0. Q. A. 5. . . $. !5. / . !5. 5. $. . . . f .. . . . LD°. » . . .. -& ; . » ++ìl¼B& » C ++ì¼ 6*. 6*. *. t4V/bV j;`4V f%^V'& » bJR9gSd_b h>V b`%f4di O;NST ]o
(57) k4`%bPd_f4QUg t4V/RHbSbJ`%TUv4gSdoO;f -@)
(58) ¦dog¥OH]o]oO b g t%R9g ¼E&+» C F /w¼(¶ ¼E&+C F /w¼ V R B]oUd_<f 9 G ¸ H´ H´ I Hd_f%^V d_b#^O;fBgSd_f;`4O;`%bk;t4V f%^V`%f4di O;NST ]op^O;fBgSd_f;`4O;`%b O;f Hk ´ ´ -&y»&F+wly¶ -&PF /wl df 9 G ¸ H H I g t4`%b . / . . . ¶. .. . Q. -&P+*+/wl&¼E& C +*+/w¼ ; . t4V/bJRHT V,NP V bS`4]ogX^aRHfpV,O;4g R9d_f4V l¡ O;NRHfRBNS4dog NSRHNP ); l4V f%bPVd_)f ; Ä2 5. *. . . . . l2¦bPd_f%^V . 2); l¦d_b. æ ÜÊó æ à.
(59) H.
(60) "!#%$&'()&(+*-,. / 021 34)( >Vag`%b^O;f%bPd_l4V N/RbPV j;`4V f%^V8O9RHl%T d_bSbPd_4]oV . a^ `%NHV b_°w» RHf%l g t4VRHl%T d_bSbd4]oVp^a`%NPHV° bS`%^tg t%R9g& ^O;fHBV NPQHV bgSO) V R B]opdf ; l C % VUl4V f4OHgJVB:¦4»+¦bPOH]_`4gSdoO;f%bgSO $028
(61) XO;N 0
(62) O;N#g t4VO;`%f%l%RHNPl%R9g R) k kcNV bSv%V ^gSdoHVa]oHVRHNPV d_fBgSV NPV bPgSV l df g t4V ^O;fBHV NPQBV f%^Vc¦ » ¶ ¦£
(63) ,® ® D 5 5® $á °»4l° J<K / +3 ò4' ¶ i / *P ; l2 C . / . . . . . . 5. ì #. . . . ); l2 i + * ( 9 l2 +lD *. ¦ » ¶©¦. . Q. ¬Í! ®¦»d_bg t4V/`%f4d_j4`4VbPOB]`4gJdeO4f8gSO g t4V#¥OB]e]oO d_f4QU9RHNPd_R9gSdoO;f%R9]yv%NPO44]eV Tªk >4¦ » =4 » = = <; l %5. t4V NV. f»&= . ¦§7= . . . ¦47=w . . . .. . 5
(64). =wD°w». ;NPO4T gt4Vv%NPO;vO;bPdogSdoO;f?Udog¥OH]o]oO b,gt%R9g . f» . K 9 k t4V NPVUg t4V8^O;f%bPg RHfBg d_bdf%l4V vV f%l4V fHgO9 " ´D H {t4V§4do]od_f4V RHNZ¥O4NST >F %Vad_f4Q ^O4V NS^doHVBg t4V d_f4V j4`%R9]odegP*On ;NPdoV l%NPd_^t%bÍ|>MyOHd_f%^aRHNmHk VXO;4gR9d_fpl4dNV ^gS]oU¿NPO;T g t4V,9RHNPd_R9gSdoO;f%R9]1 O;NST `4]_R9gSdoO;f gt%R9g $. . QGQQ. $. ¦ » . 3 7 9 >4¢¦ » +¦ » f » ¢¦ » 9 . ¦ » . R3 7 g t4V NV¥O;NV,g t4VbPV j4`4V f%^V¦4»k ²´D H Hd_b,O;`%f%l4V ldf ; l2 #t4V NPV/Va4d_bPg b#RbJ`%%bPV j4`4V f%^V/O9g t4V/bPV j4`4V f%^V¦4» k>bPgSdo]o]cl4V f4OHgSV l¦»>k>bS`%^t8g t%R9g ¦4»¶©¦ K V R B]e8d_f<; l2¦ RHf%lpbPg NO;f4QH]oUd_f)9 l g t4V8bPg NPO;f4Q8^O;fHBV NPQHV f%^V, OH]o]oO b,HRHfRHv%v4]od_^aR9gSdoO;fO9g t4V8u¦Va]o]od^tg t4VaO;NV Tp_ VbSt4O g t%Rng¦ K ¡£¦ qg t4V V R ,^O;fBHV NPQHV f%^V O9>g t4VbPV j4`4V f%^V_¦4»df ; l2k}bPd_f%^Vgt4V\gNSRH^V\T¡RHv%v4d_f4Q. .. . . . QQGQ. . / . d_b]ed_f4V RHNRHf%lp^O;fBgSd_f;`4O;`%bk V/t%RLHV#g t4V# OH]o]eO d_f4Q^O4fHHV NQHV f%^VO9 g t4V,g NSRB^V b ¦» ¶ ¦K d_<f 9 ¢ ¦RHf%l8d_f<9 ¢ t4V f%^VZ¥O;NRHfB h>4V lpgSV bg¦¿`%f%^gSdoO;)f = <; l >4¦ » = ¶ >4¢¦ K = RHf%l degt8O;`%NRHbSbJ`%TUv4gSdoO;f%b / . . . '5. .. . óoó &È Ï/ô+Þ/Þ. =w °»¶. .. . =wD°.
(65) x. 4' & _, 4l #+& #2,/ $Ð (( . . . 4t V f%^V i »§=4 ¶ =4 V/O44g R9d_f >4¦ K =4 =4/ RHf%lªg t4V/bPOH]_`4gSdoO;fªgSOUg t4V/v%NO;4]oV T $0 '° q
(66) Vad_f4Q`%f4dj4`4VHk1deg OH]o]eO b'g t%R9gM¦ K ^O;T¡v4]eVagJV bg t4V/v%NPO4O9S.
(67) . Q. . ¡ © °>ML $ ºf¡O;NSl4V N gSObJt4O g t%R9g¦ » ¶©¦pbPg NPO;f4QB]ed_f); g t4V# OH]o]oO _d f4Q^O;fBHV NPQHV f%^V .. . ¦»ì °w»¶. .. l2dog\d_bbS`
(68). ¦& °. bPd_f%^VHk`%bPd_f4QUg t4V,9RHNPd_R9gSdoO;f%R9]1 O;NST `4]_R9gSdoO;f Onqg t4V,v%NPO;4]oV T 0
(69) k V,O;4g R9d_f . . t4d_^t. º¦. ^doV fBggSOt%RLHV
(70). . .. ¼ ¦»Ð¼ ªò¶ .
(71). ¼ ¦ ¼ ª .. . 'bPd_f4Qg t4VRB%O9HVNPV bJ`4]egb VRHNPV¡dfv%O4bPdogSdoO;f*gJO v%NPO9HVURHfVa4d_bPgSV f%^VpNPV bS`4]og¥O4N#g t4V O;v4gJdT§de¢ RngSdoO;fpv%NPO;4]oV T `%f%l4V N^O;f%bPd_l4V NSR9gSdoO;f%b bSbS`%T§VXg t%Rng¦g t4V NPV#d_bQHdoHV fpRZ¿`%f%^gSdoO;f%R9] F ^O;fHgJdf4`4O;`%b dog tUNPV bSvV ^g gSOR¦ ¡¦á'° d_f¡g t4VXf4O;NST gJO;v%OH]oOHQB/O9yg t4VXbJv%RH^V&9 l2O;N ^O;V bR gB ]o`%,f%]eO^gJ deO4V f%NyR9bPV] T§d^O4fHgSd_f4`4O;`%b£O;f ; l2 >Vag `%b ^O;f%bPd_l4V Nak9RHbRHf,Va%RHTUv4]oVHkLg t4V OH]o]oO d_f4Q Ê'° L ¦'° ¸ ¦ wª ¼ ¦Í°Ê ¸ ¦ ¼ ª W
(72) U. 0. . / . .. y©4®©. . "O$. . . .. . ì l P + RN 3w)'-ì P4 (). Ê '° . EGF >.
(73) ÐlD #. 9z
(74). ¬Í! 8>Vag °»Xl4V f4OHgSVR/T d_f4d_T do¢ad_f4QUbPV j;`4V f%^VHkBg t4V fZ¥O4N R,bS`%%bPV j4`4V f%^VHk;bPgSdo]o]l4V f4OBgSV l B:¬° » ,V t%RLHV ¦á'°»L¶ ¦'° d_f<; l2 V R B]o |
(75) t4V f%^V. / . EO7. '°». EGF. '° . æ ÜÊó æ à.
(76) 5.
(77) "!#%$&'()&(+*-,. / 021 34)(. t4d_^t^O;T¡v4]eVagJV b¦gt4V/v%NPO;OncO9 g t4VaO;NPV Tp >Vag `%bpv%NV bPV fHg8RHf4OHg t4V N§¥O4NST `4]RngSdoO;fO9,g t4V*v%NPO;4]oV T t4d^t `%NJf4dbJt4V bRbST O4OHg t bPOB]`4gJdeO4f2 VUl4V f4OHgSVB . ( * g t4V`%f4dog,l4d_b >% Vl4 V f4OBgSVBg t4V^OB]e]oV ^gSdoO;f O9¦t4OH]oO;T O4NSv%t4d_^ `%f%^gSdoO;f%bl4Vhf4V lªO;f degt8}R9]_`4V bd_:f Hk 2wL > » » >D» g t4V¤bV NPdoV^O;fBHV NPQHV b d_f > 2w : »§ t4V/^a`%NH_V °d_bl4Vhf4V lH8g t4V# OH]o]eO d_f4Qv%RBNSRHT Vag Nde¢ RngSdoO;f . . R5. 5. » w Äi >». » § +*.
(78) ¸ H´ H´ . *. Q. *V5. Pf¿RH^g k B gt4VUg t4VaO;NPV T O9HgSO;f4V/|VadoV NSbPgNSRHbSbakyRBfH*^a`%NPHV¡]eO%^aR9gSV l°d_f ^aRHf°%VpRHvw v%NPO94d_TUR9gSV l8H8g t4V/^a`%NPBVXO9 g t4d_b O;NSTp 'bPd_f4Q#g t4V\bVag V O;4g R9d_fZg t4V¦Va4d_bPgSV f%^V¦On>g t4V\bPOB]`4gJdeO4f# O;NyO4`%Nyv%NPO;4]oV T bPd_f%^V\dig t4V bPV j4`4V f%^V dbRT§df4d_T do¢ad_f4QpbPV j;`4V f%^VHk%`%bPd_f4QUgt4VXg t4VaO4NPV TO9 O;fBgSVa]>dog OH]o]oO bak bPd_f%^MV ¦d_b¦O;`%f%l4V l RHf%l w Hk9g t%Rngcg t4V NV¦Va4dbg b RXbJ`%%bPV j;`4V f%^V t4d_^tU^O;fBHV NPQHV b `%f4di O;NST ]oO;fRHfB ^O;TUv%RB^g kRn]eO4f4Q dog t*R9]o]¦l4V NPdo}RngSdoHV ba ºf g t4d_b,^aRHbPVUg t4VURHbJbS`%TUv4 gSdoO; f -@
(79) Xd_b/bSRngSd_b h>V l/Pf*v%RHNPgJd^a`4]_RHN C ^O4fHHV NQHV bgJOg t4V¡]ed_T dog C O4fgt4Vd_fBgSV NP9R9P] ¸ t4d_^tpd_TUv4]odoV bgt%R9g ¶ V R B]oUd_f ; l C U. >. 5. . . . Ln &p &r ! #Íx &t s'#ÍuLqDx'sop qDs®tfs !x'p s !LqDx x !§qDx'sop"!ir s #,# $ VbPgRHNPg dog tªg t4VU^]_RHbSbPd_^aR9] l4Vhf4dogSdoO;fO9\RpbPOB]`4gJdeO4f:¦ l2 k ´ 9&%. bP%bPgSV T $028
(80) ¦d_fpg t4V O;NST. 32. . $02# ' l. A. 5. 122. ¸2¹ 57¦6 557»6» ¸ 5576 ¸ 5». . . . . 2$. D(+*. ¡ °< - .. óoó &È Ï/ô+Þ/Þ. . '. D L ¼.°í- ¼ 0/ ªi® N. kgSO8g t4V. . d_NSbPg k V/NPV ^aRn]e]g t4V ;NdeV l%Nd^t ÆbgP{vVXd_f4V j4`%R9]odegPNPVa]_R9gJV l8gSO O;`%Nv%NPO;4]oV Tp "%$ á #Ê . ( * * + /3 +
(81) Ð * /4& #' D L / ) © * $. . d_f O;f. . . . ¦ ¸ §¦ O;f2 ¦ ¸ ¦ ¸ ' O;f t4V NV(' d_b#R8u\RHl4O4fT V RBbS`%NPV,bS`%v%v%O;NgSV l8O;f9 VRHNPV8QHOHd_f4QgSOv%NPO9HV¡g t4VpVa;d_bPgJV f%^VRHf%l`%f4d_j;`4V f4V bSb¡O9Xgt4VbPOH]_`4gSdoO;fgSO. 24. . / . . . . 0 ' . R ¬N /3,+ ì #ì l % G + 2 / +'4.
(82) . 4' & _, 4l #+& #2,/ $Ð (( . . . . ¢_ °- % +3 :ì. .
(83) . .. = .K3. 7 9 . . . * . = ª ¼ Ð = ¼ á ª Ъ / . .. . .. . . . . ;NPO4T ]oV TUTUR8dog OH]o]eO b§g t%R9g/gt4VpV j;`4do}Rn]eV fBgpf4O;NST l4Vhf4V lH .. A. .. = . M A. . K 3 7 K 3 7. . /.
(84) A A
(85) >
(86) > . . *. §. .
(87) . . . . .. . . . = wª' = ªá / ª. .. ´Hk. .. .
(88). Q. t4V NPV bSR9gJdbºh>V b . . 3½ 7. . . 3. §. >! ". ,® ® D 5 5® . . . ºx
(89) P. . g t4V/f4O;NJTl4Vhf4V lH. . . 3 ½ 7. . . K . * (. A. %5. .. A. . V l4V f4OHgSV,H. .. . V^aRBf8Va}R9]_`%R9gSV,gt4V/f4O;NST. = % d_fg t4VbSv%RH^V %/^aRHf%V. = ª ¼ = ¼ á ª Ъ / . * . . ZBl%`%R9]odogPHk. = . . . . A. $. . ½. ¼ L ¼. 7 . . .. . $ o i . ( * * $ # H / >+3wD + 2
(90) * /4& ' D L +¬ò/3 +* ' + í¼ ¼w '® /3 &%2 D +3wl +3#
(91) D
(92) /' ì # + c 4 3w41 34 3w)¦ % ! % ´D * * ; (' 'ì
(93) ÐlD# .
(94). . . $0*)w l / #. '. . A. 5. 12. 3 24. ¸2¹ 57¦6 557»6» 5. ¬Í! ¨>Vag`%b¤hNSbPg/^O;f%bPd_l4V N_ l4V f%bPdogPpRHNPQ;`%T V fBg . . . ¦ .. . 1. 5. Y ( ' ¸ ¦ . . . . / 1 0 3 7:9 .. ' .. ,+ ¢ª k-+. 3½ 7. . . . 5. . . . kyRHf%l*RL gSV N . RHNSl%b VU`%bPV¡g t4V æ ÜÊó æ à.
(95)
(96) "!#%$&'()&(+*-,. / 021 34)( t4V NPVVa4d_bPg b¡g t4V `%f4d_j4`4V*bPOH]_`4gSdoO;f®¦ ; % kbSRngSd_b ¥4d_f4Q ¦. v%NPO44]eV T 0d_fpg t4V,9RHNPd_R9gSdoO;f%R9]1 O;NST. ¦ = wª ½ ¦ = ªáL ½. .. .. . zdoHV f . gSO¡g t4V OH]o]oO . . QGQGQ. . 122. 32. $0 C . ¸2¹. 24. + . 555»». = . . . . * 5 5 .
(97) . A. 5. = <; c. ª. %5. k V,l4V f4OHgSV/B=Ugt4V/`%f4dj4`4VbOH]_`4gSdoO;f. 5. . . =w. .. \RBf%l> %Ä * d_f4QUVa]o]ed_v4gSd_^ V j4`%R9gSdoO;f * . 5. 5. % kgSO°g t4V. . df> . O;f. 4O f >Vag VUh>4V lk Hg t4V¡dfarJV ^gSdoO;f°g t4VaO;NPV T On HO4%OH]oVakcgR Hd_f4QdfBgSORH^a^O;`%fBg,g t4V 9RHNPd_R9gSdoO;f%R9] ¥O;NJT`4]_R9gJdeO4fUO9$0 C RHf%lpg t4V/l4Vhf4dogSdoO;fªO9¦g t4V/f4O;NJT Hpl%`%R9]odogPHk>dog¥OH]o]oO b g t%Rng . . 5. =. ¸. +. ,#. / . ;`%NPgt4V NST O;NPV. .. = .K 2. *. .. $. . Ð. t4V f%^VZ¥O;NR9]o]. . . .. . . . . . K 3½ 7. . K. Q. .. . .. . . 9. .. . . . ¦ ¦. . . . . K 3½ 7. D. * . Ð. HO;N % g t4V8^O;far `4Q4R9gSV O9 4k % * * ; bPd_f%^V l%`%R9]odogPHk%dog OH]o]oO b g t%R9g . . . K 3 7 . . ¦ wª' & ¦ ªá ½ ª . $. óoó &È Ï/ô+Þ/Þ. . . .. k. . ¦. D. . .. .. . 9. .. . . QQGQ. . *. .. . *. * . . . . / 1 0 3 7 9 . ¦ ª & ¦ ª L ¦ = w ' ª & ¦ ªá ¸ ¹ ½ ½ ª ¦ =w ª ½ ¦ = ªáÊ ½ G Ð ¦ ¦ I = ªá. . . =. 3 7 9. . / 1 0 3 7:9. . . . . ¦ ¦. . . . . K 3½ 7. . . . . : . . ¦ ¦ . . K 3 7 . . . . . . = .K 2. . K D3 ½ 7 . . K 3½ 7. . K. 3½ 7. Q. kHg t4V8l4Vhf4degJdeO4f*O9g t4Vf4O;NJTH #. . +. . K 3½ 7. . . +. .. . 3½ 7 Q.
(98) W 4' & _, 4l #+& #2,/ $Ð (( Hd_f%^Vgt4VbSv%RH^V db8l4V f%bPVpd_fg t4VbSv%RB^Vl k g t4d_bU^O4TUv4]oVagSV b g t4Vv%NPO4O9XOn v%NPO4v%O;bPdogSdoO;f ;`%NPgt4V NST O;NPVHk V,t%R BVXg t4V# OH]o]oO d_f4QU}RHNdRngSdoO;f%R9]1¥O4NST `4]RngSdoO;f ¦ ª ½ ¦ ªL ' -$( * * ºx%%
(99) HO;N g t4V]_R9gJgSV NZ¥O;NJT`4]_R9gJdeO4f*NPV TUR9d_f%b 9R9]od_lk\Bl4V f%bPdogPHk O;N RHfRHNS4dog NSRBNPgSV bPg ¿`%f%^gSdoO;f ; ¢% kybPd_f%^VpHg t4V HO;OH]oVa d_T %V l%l4d_f4Qg t4VaO;NV T ; %. cXRHf%l g t4V,d_fBgSVaQ;NSRn] 'db Va]o] l4Vhf4V l ;NPO;T v%NPO4v%O;bPdogSdoO;f V#O;4g R9d_f8g t4V# OH]o]oO df4Q8NPV bS`4]og
(100) , ® ®D 5 5® $ 2 #R /1 34 / '»§.! D(R / +3wl +3
(101)
(102) /' _( . '» . 3 ½ . . .
(103) . $. .. .. . . .. . . . 5. . #. $. . . 5. . . $. %. . . . . / &' ' » %2 D / +3w ' ' Ä i + ¸ QD% ¦ % i + ¸ QDM ¦ 9 %+ ´ % # # ´ ¸ ì #l R#*¦4» i D &(' R 3w)(N'- ì
(104) ÐlD# # 0# '»§ t4V\v%NPO4O9%O9MqNPO;vO;bPdogSdoO;f d_bO;T dogSgSV l,t4V NPVHkLdogq`%bV byg t4V g t4VaO;NPV T O9 ¦RHf%RB^ t | ]_R9OHQH]_` RHf%l8gt4V/bSRHT V,RHNPQ;`%T§V fHgRHbd_fpg t4V/v%NO;O9O9¦MqNO;v%O;bdegJdeO4fY%5 V bSt%R9]o]c^O;f%bdl4V N'g t4V¤RBl%T d_bSbPd_4]oVT V RHbJ`%NPV b O9qgt4V#¥O;NJT ' + °>doX g t8bS`%bPv%O;v,T§' V'¦NVaQ;t4`4V]_RHNPNPV doRHgPbO;v%f,NPgSO;O,v^V O;NPgSf%dobPV d_b l4d_V TUN vbS`%O;^bPtUV l¡R#O;^f ]_RHg bSt4b V#d_bl4g V t4f%V bPdo gºOH ]o]o+O <df49 Q1k9deg '° d_bc V RHRHf%bPl§/O;gJf O¤^g O;t4f%VXb^ag `%NS`%NH^Vg RbPV j;`4V f%^V-°» bS`%^tg t%RngXg t4V¡]eV f4QBg tO9g t4VU^a`%NPHV°» d_b/`%f4di¥O4NST ]o O;`%f%l4V lk RHf%lg t4V OH]o]oO df4Q8^O;fHBV NPQHV f%^V#g R 9V bv4]_RH^V ¶ + V R | Q
(105) " © "%$ 1 Vag'`%b^O;f%bPd_l4V Ngt4V¿RHT do]oOn ^a`%NPBV bak > ´D H °w» ª»4 Ä++«¬»4 Äl ³¥4´#µ çì # P + R +34 /1 34 / +3 :4 'л¶ ¦4»¶ ¦4»¶. . . G . N. . 5. A. <. N. ). 0. . 5. / . . . / . QGQGQ. t4V NV. +*. ª4»4 lL / «¬»& lL 6*. 8*. 6*. 3 14. +*. 4 » o ªy 6EGF. *5. *5. 4. *5. . . +. . . '. Q. . . . ¬´
(106) æ ÜÊó æ à. . 7 9.
(107) 9z.
(108) "!#%$&'()&(+*-,. / 021 34)(. gX^aRHfp%V bSt4O f¡g t%R9g t4V NV. . ¶. . +. V R |4 QD . . ¡ª ÄL + °> ª«-¡ « lL¡ +*. V³¥4¬´ µ V³¥4¬´ µ. 8*. *V5. +*. RHf%l. 3 14. ÄL +. +*. ´ 9. *V5. 4. *V5. . + ´ . . . *V5. . Q. Q. '. >Vadog g#)t `%9"bNP V ^aR9 ]o ]y g t%´ Rng¦ O; N RU bPV j4`4V f%^´HV, O9¦uRHl4O;fpT V RHbJ`%NPV b '»&/bS`%^t8g t%R9g '»¶ ' V R (|ìRQD V/t%RLHV#dfªQHV f4V NSR9]g t4V#O;f4]opd_fB¥O4NSTUR9gSdoO;f§O;f8g t4V/bS`%v%vO;NPgO9 g t4V,]odT§deg bS`%v%,v ' . » bS`%v%,v ' » t4V HNV,O;Ng t4g t4V V/ ^t4OH d_^V d_bV/gR TU9RV f89 V d_f8'g t4V/bP V f%k>bPbV,df%On^ V X`%NSRngSO b Bd¥ L*. *. / . . EG7. . EO7. / . . $. +. / . L'>. .. dog¥OH]o]oO b g t%R9g. . f,í+, . . . t4V NPV 9 Í°Ê d VH_k 9'° ql4V f4OBgSV b g t4V,]oV f4QHg t8Oncg t4V/^a`%NPHV_° s\O ]oVag RBf%l: ® %V#QHdoHV f^O4f%bPg RHfBg bak Vd_fHg NO{l%`%^V#g t4V,bPVag¦O9cRHl%T§dbJbPd_4]eV. '. .. .. . . 9. 9'° .. . K 2. +. .. . u\RBl4O;fpT V RHbS`%NV b¦Oncg t4V# OH]o]eO d_f4Q O;NST.
(109) < ' ¼ ° . 9 +ª C l « C l . +. A. .. . . . 6*. +*. '. . .. *. ªD ++«F Ä. ( 5. ´ A. . ¼+ª Ä++« Äl¼ ª C Ä +*. +*. +*. . « C l . 6*. *. 9. . y©4®© $ 2 : /1 34 / ' » Lì l P + +34 /1 34 / + D #&' #(* '» ç- +3wl ' ¬ #3 ° +3 ì '»¶ ' i +
(110) ¬ QD. -. 5. 5. A. . . #. óoó &È Ï/ô+Þ/Þ. <. .
(111) |. 4' & _, 4l #+& #2,/ $Ð (( . . ì #l . . ° +3#
(112) D
(113) : ' ªF ++«F l 4´( 3/ì /l i !ì ! L / )( .l ç . . .. . » . K 3 7 +. . A. 5. 9. . L. ª C Ä « C l V® ì #ì l + !3w + <9 '° /3 :ì ' + +*. +*. 5. . . 9. .
(114) . Q. . ! ( % ´D. . . . . . ! >4´( 3*V5. . . ¬Í! dNJbPg kXbdf%^V"ª4»4w «¬»wRHNPVg t4V*%O;`%f%l4V lbPV j4`4V f%^V b8d_fg t4V HO4%OH]oVabJv%RH^V 4¬´ t4d_^tpd_b,RNV/{>Va;doHV RBf%RH^ tpbJv%RH^VHkBpg t4Vg t4VaO;NPV T Onu¦Va]o]ed_^t*^O;TUv%RB^gS]o d_T %V l%l4V l° d_f gt4VbSv%RH^V O9\^O;fBgSd_f4`4O;`%b `%f%^gJdeO4f%bakdog#¥OH]o]oO b#g t%R9g#g t4V NPV Va4d_bPg,Va]oV T V fHgb ªy+« ´ bS`%^ t8gt%R9g ¥O;NbS`%%bV j;`4V f%^V bak1bPgSdo]o]cl4V f4OHgSV lpB:ª4»4#«¬»w;k $. A. . !5. '. A. . `%f4di O;NST ]o8df³ 4´ µRHf%l V R B]e8d_f)9 ¢4´ ºxHx
(115) `%f4di O;NST ]o8df ³ 4´ µRHf%l V R B]e8d_f)9 ¢4´ ºxD5
(116) 8]eO V NbPV T d_^O;fBgSd_f;`4dogP8O9cg t4V/f4O;NJT V,O;4gR9d_f 9 +ªOC» l «»C l 9 %C l « C Ä ª g t4`%bg t4V/^a`%NH_V °: ªo/«4,d_bgt4V/RHl%T d_bSbPd_4]oVbS`%v%vO;NPg O;N g t4VT V RBbS`%NPV V,RHNPV,QBOHd_f4QUgSO ^O;f%bg NS`%^g Xf8g t4V,OHg t4V Nt%RHf%lk%gt4V/bPV j;`4V f%^V »4,db#%O4`%f%l4V lpd_)f 9 '°w»4 k ª4»¶©ª «»¶ «. .. 6*. +*. . .. /*. '. EG7. EGF. .. / . . / . . +*. +*. '. *. +. . « » C l¢ ¼ + »¢ª4»§ l+/«¬» ll¼ ª »C l +*. +*. 6*. +*. /*. 9. . d VH_k£g t4V ¿`%f%^gSdoO;f ¶ »4ª»4 Ä++«¬»w lÄ ª C» Ä! « »C ÄXd_b/O;`%f%l4V l*d_f 9 l4V f4OHgJV/H '»g t4V/T§V RHbS`%NPV,l4Vhf4V l8d_fpg t4V# OH]o]oO df4Q RLHk +. .. *. =w 'л. .. . . +*. +*. +*. =ª4» l+/«¬»4 lÄ »wª4»4 l+/«» ll +*. +*. +. 4¬´ P. +*. 6*. +*. ª »C l « » C l¢ +*. +*. /*. æ ÜÊó æ à. V.
(117) O;N RHfB = f *t4V NV¥O;NVHkyg t4V NPV8Va4dbg b R bJ`%%bPV j;`4V %f ^VHk bPgSdo]o]'l4V f4OBgSV lB '»§;k bS`%^t8g t%R9g =w'»¶ =w' O;NRHfB = f t4V NV,g t4V,]odT§deg,T V bS`%NV¤bSRngSd_b h>V b bS`%v%,v '®° bPd_f%^V =ª»4 l/+«¬»w llL¶ =4ªá l/+« ll `%f4di¥O;NJT ]oO;f ³ 4´ µ >Vag*`%bbSt4O g t4VbV ^O;f%l v%RBNPgpO9Ug t4Vg t4VaO;NPV Tp£ODg t4d_bªV f%l V*O;%bV NPHV*g t%RngH O;`%NRHbJbS`%TUv4gSdoO;f%b g t4V,bPV j4`4V f%^V %b »4F l;k ª C» F ! « »C D *RHNPV,%O4`%f%l4V l8d)f 9 '°w»4 k 9 4´( k;NPV bJ v% V ^gSdoHVa]oHk % t4V NV % ´/RHf%l HVag V k%bPd_f%^V ´,RHf%l H ´#deg'¥OH]o]oO b gt%R9g 8 ´,RHf%l V#HV NPdi Ug t%R9g g t4V ; bPV j4`4V f%^V » ª » +« » ª »C « »C °db%O;`%f%l4V lªd)f 9 &¢4´L >Vag % % HH ¸ ´ RHf%l K % H ´ ¸ ´ bPO g t%R9g ´ ´ K ´. ¸ B RBfpRHv%v4]od^aRngSdoO;f8O9 g t4V B]l4V N'df4V j4`%R9]odogPdog¥OH]o]oO b g t%R9g
(118) "!#%$&'()&(+*-,. / 021 34)( 5. .. .. +*. !5. +*. +*. +*. Q. . +. . . . . . . . .. . . .. G. . . . +. 9. . . . . 2&. «» C l ' ¼+ »4ª»4 Ä++«¬»w lļ lªOC» Ä +*. +*. +*. +*. ¼ + »¢ª4»§ l+/«¬» ll¼
(119) + ª C» Ä « »C Ä ' G ¼ + »4ª»&+«¬»4 ¼ ª »C « »C I G . + » . K 3 7 . ª C» « »C . K ½ 3 +*. . +*. 6*. +*. . . . /*. . . . *. . BA. .. . I. . . .. /*. +ª »C. D. .. 9. 7. . . . . ½ ª C» l « » C Ä . 6*. « »C . '. . . . ½. ½. . . /*. g t4V,]_R9gJgSV N df4V j4`%R9]odogP8¥OH]o]oO bH8O;`%NRBbSbS`%TUv4gSdoO;f%bk;t4V f%^V ½ 9 . »4¢ª4»&/«» ª C» « » C . K 3 7 9 t4V NV¥O;NVHk;gt4V NPVXVa4d_bPg bRBf8Va]eV T§V fHg <9 &¢4´ bS`%^t8g t%R9g »4ª»&+«¬»4 ª C» « »C ¶ V R B]oUd_< f 9 4¬´ç . . +*. I . . +. . . BA. 5. +. óoó &È Ï/ô+Þ/Þ. . . . . . / . . Q. '. . . . /* K. . ½.
(120) x. 4' & _, 4l #+& #2,/ $Ð (( . . . . K. RHf%l. =w 'л .. 3 BA 7 9 .. « »C . + »4ª»&+«¬»4 ª »C . EG7. . EGF. . +*. +*. 6*. .. .. g t4`%b. +. 5. . K 3 7 . ªá l+/«4 llo +. +*. 6*. .. +*. . +*. +*. 6*. +. /*. *. +*. .. /*. . 5. . +*. ª C Ä « C Ä . A. +*. *. 9. . . K. 3 BA 7 9. . Q. ^a^O;NSl4d_f4Q gSOg t4VaO;NPV T x%kBg t4V NPV#Va;d_bPg bRbOH]_`4gSdoO;fUgJOgt4V¤T d_f4d_T do¢ R9gSdoO;f ' . 0 . 72EGF >. . O;N¦R^]_RHbSb On£^O4bPg `%f%^gJdeO4f%R9]_bakHVH Q1 ' i V*bPg RHNg. +*. +*. ' 0.
(121) . f+*Ä. +*. +*. ). Ln 7 ! q(x . 3 BA 7 9. ¼ +ª Ä++« Äl¼ ª C Ä « C l' f ¼ f ļ . /®! c " D ®! :$ v%NPO44]eV T . . K. +*. +*. dog t <9 '° qRHf%l +. . « » C l¢ =ª4» l+/«¬»4 lÄ+ »wª4»4 l+/«» ll ª »C l ¶ =w'> =4ªá l/+« ll f l .. bPO¡g t%R9g ¤V l4Vhf4V. . ¢¦ ¸ ¦§ wªykw¦p%Vad_f4QUR/bPOB]`4gJdeO4f gSO 20 ¬ ' . . ! #'x q¡v4sopftixqDxÍsop,. . dog t g t4VRH`44de]od_RHNPDNV bS`4]og b O;fg t4Vl4d V NPV fHgJdRB4de]odogPDO9,g t4Vª¥OH]o]oO d_f4QbSt%RHvV ¿`%f%^gSdoO;f%R9] VXRHbJbS`%T V g t%R9g£g t4V. °¶. .. . °. Q. `%f%^gSdoO;f <9 '° T¡R ,l4V v%V f%lO;fZg t4V^a`%NPHVL° oV`%bPVg t4VbSRHT V RHv%v%NO;RH^tpRHbd_fªg t4V^aRHbV/O9 g t4d_fbSt4Va]o]¥k t4V NPV V/^O;f%bPd_l4V N#R^a`%NHV°O;f8g t4V TURHf4di OH]_lk t4V NPV,dbç{R9gXbPVag . . 5. æ ÜÊó æ à.
(122) %x >VagUg t4VbS`
(123) p^deV fBgS]oDbST O4OHg tTURHv%v4d_f4Q J ± ( * ¶ ( * %VQHdoHV fk ³ 4 ,d_b 5 R*v%RBNSRHT VagSV NkqbJ`%^ t g t%R9g& J ¥O;N RHfB B³¥ /bSR9gSd_b h>V bg t4VRHbJbS`%TUv4gSdoO;f%b On l4Vhf4dogSdoO;f°Hk%d VH
(124) "!#%$&'()&(+*-,. / 021 34)(. I. H. H. . &. I. 5. H. & L) H 3 ? 5 7 9 i : 1 0 2 . /. H. &. 9. . 5. . &. 1&L®° ; . / 10 2. H. 9. 3 =?7:9. . . zdoHV fv%RHNSRHT VagNPdo¢ R9gSdoO;fª Ä++« Äl;k V³¥4¬´ µ¿kHOncg t4V/^a`%NPHV%° k V/l4V f4OHgSV ° ª l/+« ll § L ª C Ä « C l' +*. H. .. JI. H. t4V/l4V Nde9R9gSdoHV,g R 9V b g t4V#¥O4NST . . i .. I. *V5. H. .. H. . C. +*. H. . . H. . H. LI. . H. +*. H. ª l+/« lÄ. H. +*. H. . +*. H. +*. +*. H. H. H. l. H. +*. ª Ä++« Äl Ä8 Ä d_bg t4V¦`%f4dogyg RHf4QBV fHgHV ^gSO4N%gSO2 ° RHf%l. .. . . . +*. H. H. +*. H. H. +*. /*. +*. *. ª C Ä « C Ä . +*. H. H +*. H. +*. /*. /*. ÄL ª l+/« lÄ 4t V NV lf 'f%l4V N,NPVaQ4`4]RBNPdogºRBbSbS`%TUv4gSdoO;f%bkRL gSV Nd_fHgSVaQ4NSR9gSdoO;fHv%RHNPg bg t4V ]_R9gSgSV Nd_fHgSVaQ4NSR9] ^aRHf VNPV NdegJgSV fUd_fªg t4V OH]o]oO d_f4Q ¥O4NST 3. H. 3 7 3 77 3 = 7 A = 3 7 = = . +*. U. .. ¸ .. . H. . . . . ª l+/« lÄ l? Ä. H. H. +*. +*. H. +*. H. /*. H +*. H. +*. H. H. +*. +*. H. *. ª l/+« Äl ª l+/« lÄ l? Ä ª l/+« Äl l8 l_ ª +´+/« /´l + ´( +´ ¸ ª ¢ w++« wÄ ¢w w H. +*. +*. H. +*. H. +*. H. +*. H. +*. H. H. H. +*. H. +*. *. H +*. H. +*. Xfgt4VOBg t4V NXt%RBf%lk VU^aRHf`%bPV g t4VUTURngSV NPd_R9]cl4V NPdo9R9gSdoHVUT Vag t4O%lgSOO44g R9d_fg t4VUbSRHT V l4V NPdo9R9gSdoHV
(125) C sRHT Va]oHk V,dfBg NPO%l%`%^V,g t4V,HV ^gJO;Nh>Va]_l H. H. H. H. H. H. H. H. H. H. . JI. - D/ªo/«& wo. G. JI. . J. . LI. H. J ; H. ¢ªo+«§ ì I. RHf%l¡RHbSbS`%T Vg t%R9g g t4VXbJ`%v%v%O;NPg On gt4VHV ^gSO;N£h>Va]_l¡d_b¦d_f%^]_`%l4V l8d_fRbSTUR9]o]>f4VadoQ;t4%O;`%NJt4O;O%l )'° O9g t4VU^a`%NPH V °d_f ( * ;`%NPgt4V NST O;NPVHk VURHbSbS`%T V g t%Rng#¥O;.N ªy+«§ w N)'° RHf%l bS `
(126) p^deV fBgS]obSTURn]e] ¸ k %k%g t4V#h>Va]_lpd_bOncg t4V# OH]o]eO d_f4Q O;NST %$. 5. '5. D+ªy+«§ wy. óoó &È Ï/ô+Þ/Þ. I. . +ªo/«4 Ð# +ªo/«4 . . . JI. JI. . D+ªy+«§+w I. /*.
(127) xHx 4' & _, 4l t4V/bJt%RHv%V#¿`%f%^gSdoO;f%R9] V,^O;f%bPd_l4V Ng R 9V b g t4V#¥O4NST. #+& #2,/ $Ð (( . . . .
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