Contribution à l'étude et à la modélisation d'un modèle de convection-diffusion dégénéré : application à l'étude du comportement migratoire des civelles dans l'estuaire de l'Adour
196
0
0
Texte intégral
(2)
(3)
(4)
(5)
(6) !" # $ % "$ #&' ()
(7) *+# - , .0/1/32547698;:<4>=@? A8 C2 BEF D :<GIH F HJG 96 =JK L/ =@MN: F K F ?O:PK R4 QSMT8U:V=J4 M F H FXW Y6 4Z F 2 2 XF W H[J8 ? W T2 B \F W :<GI8@4 M F H F T2 B].^H1=@G"M _a`5bdc1bfehgjikgml[n. oqr<p stvuxwRrzy{r}|;~\r< r O rp rsCwRr}V.
(8)
(9)
(10) !#"%$&'$)(. *. + ,.-/(102"435&6%37$98;:<02$=<&>$?"1+-@=A-@B=<35C?"%D+$)37"%-.8-/(#0/37)-@EFE7-/(G8H( EJIK-/(+:H37"%-L8-EMIKN8$:H" OQP RTSUR VWY[X ZFY[\^]`_a]cbedf\hg+ikj%_fZFZlbm\hg+Y;nporq6g+dTi WkS'SsS;S'SsSsS'SsS'SsSsS'SsS;S'SsS'SsSsS'SsS'StRvu RTSxw qyZFz{YM|M]cZ}j+bmdTnedT~fbei+Y[Zg+ih|J|[neY;g+YbeYg1Ysnpox_!\+~Ti+bmneneY S'SsSsS'SsS;S'SsS'SsSsS'SsS'StRvu RTSr dg+Y[Z g+Y;zYM |`+Y S'S;SsS'SsS'SsSsS'SsS'SsS;S'SsSsS'SsS'SsSsS'SsS;S'SsS'SsSsS'SsS'Swf RTSr1SmR _zYM |`+Y'z W dfYMZlZlbmdT\+\+YMnenmY SsS'SsS;S'SsSsS'SsS'SsSsS'SsS;S'SsS'SsSsS'SsS'Swf RTSr1Sw NYMX ]c1dg+Y;go Y[X |`+_f\^]cbenmnedT\1\%_f~TY S'SsS;S'SsSsS'SsS'SsSsS'SsS;S'SsS'SsSsS'SsS'Swf RTS df neYHg+Y;ne_|MbmfY[nenmYHg%_f\1Z}npo YMX |[dT\1dTbmYHned|_!neY S'SsSsS'SsS'SsSsS'SsS;S'SsS'SsSsS'SsS'Swf ++ ,-/(102"435&6%37$)8;:028"%-8I- +:H8--k&H";-/ (1-@1D%37$8-/("437E5-/( :6+3FE535(H-/ -@( ¡ ¢'£D¥¤ ¦[¥§{¨ª©¨v«K¬§¯®@°±T©%® £ ¥²®³ ¥^¤ ¨v°@®/¥ ´¡ µ ¢'£D¥¤ ¦[¥§{¨ª©¨v«K¬§¯®/¥¦®@«·¶ ¥ ¤ £ ¥§{¨v¦¸G¬®)¥¹ º¥¦ ´´ wSUR dg2Y[» nmYg+Y;n¼_½bm]cYMZlZFYsg1ih|MdTi W _!\]s¾ YMX i+_!]cbmdT\+Z g+Y'¿1_fbm\]5ÀÂÁYM\%_f\^]'ÃKZF%_fnenmdªÄÅÄ_!]lY W`ÆT wSxw dg2Y[» nmYg+Y;nÇobe\+g+bm|[YHgÈo YMX |[n¼_!b W YMYM\^] g%_f\+Z n¼_|MdTnedT\1\+YgoY_fi SsS;S'SsS'SsSsS'SsS'S9^É wSr dg2Y[» nmYg+Y;nÇo YMX Tdfnei1]lbedT\Êg+Y;ne_g1Y[\+ZFbm] Y;X g+YMZ |[bmfY[nmneY[Z SsS'SsSsS'SsS;S'SsS'SsSsS'SsS'S9TË wSr1SmR Ì df\+g+bm]lbedT\1ZÍg+Y;bm~ W _!]lbedT\ SsS'SsS;S'SsSsS'SsS'SsSsS'SsS;S'SsS'SsSsS'SsS'S9TË wSr1Sw Î j1]lY[\^]cbmdT\Ïg+Y;nÇo Y[X i%_!]lbedT\Ïg+Y;g+YM\+ZlbU] Y;X g+Y;|[bUTYMneneYMZ S'SsS;S'SsS'SsSsS'SsS'S9TÐ .
(11) -/ (+:EÂ+D1(N=<D-@ =<D+36:H-/( Í* ¡ .¥¤ ¦ °@º¨ª©¨v¦¸G©1¨ ¥¤ ¸G©1¨v«
(12) °/¥¦ ¬° £ º7³ ¥¤ °/©1¨v«¬§¯®/¥ ºK©#±^«¥ºKº¥ RTSUR Y[X dT\+Z5] W _a]cbedf\ g+Ysn¼_½zdTZlbU]cbmbU] Y X S'SsS'SsS;S'SsSsS'SsS'SsSsS'SsS;S'SsS'SsSsS'SsS'S ^Ð RTSxw ! ZF]cbm_a]cbedf\ g+Y;n¼_Zldfnei1]lbedT\Êg%_!\+Z nÇoY[Zlz+_f|[Y#"%$[Ã'& Æ SsS'SsSsS'SsS;S'SsS'SsSsS'SsS'SÉR RTSr ! ZF]cbm_a]cbedf\ g+Y;n¼_Zldfnei1]lbedT\Êg%_!\+Z nÇoY[Zlz+_f|[#Y ")(a'à & Æ SsS'SsSsS'SsS;S'SsS'SsSsS'SsS'SÉTw µ ¥± /¥ £ ± /¥®/¥ ¦[¬ºK°/¨v«¬§¦ ¦M¨©1¨v«¬{§@§/©%« £ ¥¦®/¥¦ ¥ ¤ °/©1¨v«¬{§@¦ ±T¬{° £ ©%§{*¨ +, ¡ ¥^¨ ºp°@¸«K§@¬¦«·¨ -¥ ¤ +,./ 01 wSUR _!z+z{YMneZÍZFi W n¼_>]c Y[X d W beYg+ikg+Y[~ WY;X ]cdTzdTnedf~Tbei+Y S'SsS'SsSsS'SsS;S'SsS'SsSsS'SsS'SÉfÐ wSURTSmR YM~ WYHX ]ldTzdTnedT~fbei+YHg+Y Y W _À7¿|`%_fi1g+Y W S'SsS'SsSsS'SsS;S'SsS'SsSsS'SsS'S9 2 wSxw o YMX i+_!]cbmdT\Ïg+ih|MdTi W _f\^] SsS'SsSsS'SsS'SsS;S'SsSsS'SsS'SsSsS'SsS;S'SsS'SsSsS'SsS'S9T wSxwSmR Y[|`1Y W |`1Y>g+Y;Zldfnei1]lbedT\+Zz%_ W ]lbe|Mi+nebÇY» W YMZÍg+ikZFZF]Y[» Y 4à 3ÂÁ SxwTÆ S'SsSsS'SsS'S9f wSxwSw Y[|`1Y W |`1Y>g+Y;Zldfnei1]lbedT\+Zz+nei+Z ~ YMX \ Y X W _fneYMZ g+ihZ5ZF]YM» Y
(13) à 3ÂÁ SwfÆ)S'SsSsS'SsS'S9^u wSr o YMX i+_!]cbmdT\Ïg+Y;nÇobe\^]cYM\+ZlbU] YX nei1bm\+Y[i+ZFYg%_f\+Z ne_½|[dTnmdT\+\+YgoY_!i S;S'SsS'SsSsS'SsS'Su! ´ ¥± /¥ £ ± /¥²®/¥ ¦[¬ºK°/¨v«¬§¦®/¥ º7³ 5¥ ¤ Ȱ@©1¨ª«K¬§¯±^« ¥ºKº¥ 60 1SUR ÊYMX ZldTnmi1]cbmdT\½g+YMZ Y[X i%_!]lbedT\+ZgÈo YJX TdTnmi1]cbmdT\ _H» nÇor_fbeg1YBg+YÍn¼_y]l Y[X d W beYg+Y[ZZlYMb À ~ W dTi+zY[Z À _!z+z{YMneZ S'SsSsS'S;SsS'SsS'SsSsS'SsS'SsS;S'SsSsS'SsS'SsSsS'SsS;S'SsS'SsSsS'SsS'SuTu 1SURTSmR Î z Y X W _!]lY[i W Z}_f|[| WYMX ]lbmZ SsSsS'SsS'SsS;S'SsSsS'SsS'SsSsS'SsS;S'SsS'SsSsS'SsS'SuTu 1SURTSw ¿Y[ bUÀ ~ W dTi+zY[Znebe\ YX _fb W Y[Z S'SsS'SsS;S'SsSsS'SsS'SsSsS'SsS;S'SsS'SsSsS'SsS'SufÐ 1Sxw ! ]ci+g+Y;g%_!\+Z n¼_ 7[dT\1#Y 8 S'SsS'SsSsS'SsS'SsS;S'SsSsS'SsS'SsSsS'SsS;S'SsS'SsSsS'SsS'S9ËT 1Sr ! ]ci+g+Y;g%_!\+Z neY[9Z 7MdT\+Y[;Z :NYM=] < SsS'SsS'SsS;S'SsSsS'SsS'SsSsS'SsS;S'SsS'SsSsS'SsS'S9ÐT 1Sr1SmR _!\+ZÍn¼_ 7[df\+>Y : SsS'SsSsS'SsS'SsS;S'SsSsS'SsS'SsSsS'SsS;S'SsS'SsSsS'SsS'S9ÐT 1Sr1Sw _!\+ZÍn¼_ 7[df\+?Y < SsS'SsSsS'SsS'SsS;S'SsSsS'SsS'SsSsS'SsS;S'SsS'SsSsS'SsS'S9ÐT 1S ! ]ci+g+Y;g%_!\+Z n¼_ 7[dT\1?Y @ S'SsS'SsSsS'SsS'SsS;S'SsSsS'SsS'SsSsS'SsS;S'SsS'SsSsS'SsS'S9ÐTÐ 1SxÉ Ì dT\+|Mnei+ZFbedT\ÏYM]}zY W ZlzY[|M]lbmfY[Z}g+Y;n¼_z%_ W ]cbeY6]c YMX d W bmi1Y S'SsSsS'SsS;S'SsS'SsSsS'SsS'SÍAR 2T -/ (+:EÂ+D1(N := -/ "436:H-/( OCBBP ¡ [§¨ £ ¬2®°@±f¨v«¬§ ¡ED RTSUR Ì _fg W YsgÈo YJX ]ci+g+Y SsS'S;SsS'SsS'SsSsS'SsS'SsS;S'SsSsS'SsS'SsSsS'SsS;S'SsS'SsSsS'SsS'SÍRA2^u RTSxw VWY[X ZFY[\^]`_a]cbedf\hg+Y;npox_fnm~Td W bm]c1Y}g+Y WYMX ZldTnmi1]cbmdT\Ê\i+ Y X W bmi1Ysg1Ysnpo YMX i%_!]cbmdT\Ï|[bUTY[nmneY SÍRA2TÐ . .
(14) TR SxwSmR VW be\+|MbezYg+Y[Z g+b W Y[|J]cbmdT\+Z _fnU]cY W \ Y[X YMZBÀ VWY[X ZFY[\^]`_!]lbedT\kg+Y;\+df] W Ys_fnm~Td W bU]c+ Y RfR2 µ «p¦[°@©%ºK«K¦[©1¨v«¬§ ®/¥¦ £Q¥¤ ¦°@º¨ª©¨v¦ ¡4¡ 0 wSUR Î i1]cbmnÈg+YbeZFi%_fnebmZc_!]lbedT\ S'SsS'SsSsS'SsS'SsS;S'SsSsS'SsS'SsSsS'SsS;S'SsS'SsSsS'SsS'SÍRfRvÉ wSxw Ì dT z%_ W _a]cbm5|_f\%_!n½À WYMX Y[n SsS'SsS'SsS;S'SsSsS'SsS'SsSsS'SsS;S'SsS'SsSsS'SsS'SÍRfRª wSxwSmR Ì dfz%_ W _!]lbm@_fi Rª1SURvwSURªÐTÐ^uS²S'SsS;S'SsSsS'SsS'SsSsS'SsS;S'SsS'SsSsS'SsS'SÍRfRvu wSxwSw Ì df Y[\^]`_!b W YMZÍz WYMX nebmbm\%_fb W Y[Z}¾ S;S'SsSsS'SsS'SsSsS'SsS;S'SsS'SsSsS'SsS'SÍRªwR wSr ! TdTnmi1]cbmdT\Êg+ik|[dT z{d W ]cYMYM\^] bm~ W _!]ldTb W YyZFi W} 2 dTi W Z SQSsS'SsS;S'SsS'SsSsS'SsS'SÍRªwR wSr1SmR Ì df Y[\^]`_!b W YMZÍYM] g+bmZl|Mi+ZlZFbedT\#¾ S;S'SsSsS'SsS'SsSsS'SsS;S'SsS'SsSsS'SsS'SÍRªwfË . . H- 6
(15) ¥¤ ¸¬{§@¦M¨ £ ©1¨ª«K¬§¯®/¥²º© £ ¬ ¬¦«¨ª«K¬§ ¡ º¬ ©%º¦M¨ª© «pºK«·¨ ¬ £ © ¢ Ȩª¬ Dº©%§È¨ª¬§ °2¨ £ «¥§¨ ¦ /¦M¨ª¥¸ ¥"« !1 {#¨ c±T¬{§¨ £ ¬{ºKº¥® £ ¥± £ °@«·¨v¸G¥§{¨¬Í¨ /¥²©%§@± /¬5 «K§ ¨ /¥²º©1¨ª¥²º© £ +©+º¦M¨ª©$!¥. É. O )* ¡ ´1 ¡ 0 ¡&% 0.
(16)
(17) L # . t . u. t.
(18)
(19) 6q fY[|ÊnÇor_f|M| W dfbeZlZFY[ Y[\^]'|[dT\^]cbm\ig+Y ne_kzdTz+i+ne_!]cbmdT\#dT\1g+b¼_fnmY2g+Yz+nei1Z'YM\z+nei+Zsg+Y z+_ªZ½ZFY Zldf\]]ldTi W \ Y[X ZQTY W Z?nÇoYz+nmdTbm]c_!]cbmdT\>bm\]lY[\+ZFbmfYÍg+Y[Z W YMZlZFdTi W |MY[Z)_ W bm]lbe Y[Z Sa _| W beZlY _!~ W bm|[dTnmYÃ ! ¿ YJ» W Y>_!z+^]cY[i1ZlYn¼_½] W Y[>j+n¼_f\^]lYg+i dTi1]ldT\ bmd bm\+Yg+ikz{dTi1neYM] SUSUSÆ i+YsZli+j1bm]}g+Ysz+neYMbe\ dTi+YJ] _f|J]ci+YMneneYMYM\^]npo ! i W dTz{Y ]cdfi1]cY}Y[\^]cbÇY» W YyYM])i+bZlYHz W dTz%_f~fY6 dT\+g+be_fneYMYM\^]dT\^] W Y}neY[Z?nebmbU]cYMZg+Y nÇo Y[X nmYM!_f~TYbm\^]cY[\1Zlbm S4V _ W |[dT\^] W Y 4Y[nmneYs_z{Y W beZÍg+YsYJ]l] W YsY[\ nmi+ bÇY» W YH|`+Y 7>neYMZ6|MdT\+ZFdT_!]lY[i W Z i+Y½\+dfi+ZHZldf Y[ Z i1\+Y½\+dTiTY[nmneYsK _ |[
(20) dT\ g+Y>|MdT\+Zldf Y W ¾ Y 4YM]yi1bDY[Z5]Hz+nmi+Zyj1bedioi+\ zdTbeZFZldT\ W _!be Z !Zc_fif_!~TY ^_!i TYMi j+nmY[i+ Z Tz Y[X |` Y6X z%_ W \+dTZ~^_fbmnene_ W g+Z_a]cY[nmdf]cZz W YM» Zg+Y \+dTZ|d! ]cY[Z Ì YM]F]cY\1dTi1TYMnenmY g Y[X _ W |`+Y @_fg+g+bU]cbedf\+\ Y[X Y²_Ï» i+\+YZli W Y z+nedfbm]`_a]cbedf\ dT\1g+b¼_fnmYg+Y[Z W YMZlZFdTi W |MY[Z _ W bU]cbe Y[ Z g+dTbU]s\+dTi+ZsK_fb W Yz W Y[\+g W Y |MdT\+Zl|MbeYM\+|[Yi1Y |[YMZ W YMZlZldfi W |MY[ Z DZlb?be z{d W ]`_f\^]lY[Z;g+Y\1dTZ dTi W Z B\1Y#ZFdT\^]kz%_fZÊbe\ \+beYMZ S ¿bHn¼_g+YMZF] W i+|J]cbedf\.goi+\+Y d W YM ]ÏYMZF]k_fz+z+_ W YM\]lY¯_ » \1dTZÊTY[i ne_ g+YMZF] W i+|M]lbedT\ g+Yne_K_fi+\1Y_ W bm]lbe YsYMZF ] Y[nmneY {_!ne+YMi W YMi+ZlYMYM\];bm\^bmZlbmj+neY S YMz+i+beZyneY[ZH_f\+\ YMX Y[Z u 2 npordTz1be\+bmdT\ z1i+j+nebmi+Y _ YMX ] Y X _fneY W ] Y[X Y²z%_ W neYMZÊ_fZlZFd|Mb¼_!]lbedT\1Z Y[X |MdTnedf~Tbei+YMZ Zli W |[Y[ZÏz W dTj+nÇY[» Y[Z S i+YÊ|[YÏZFdTbeYM\]½neY[Zi+YMZF]lbedT\+Zg+YÊ_ WY[X Y[Z\1dTb W Y[ Z i+bÍ Y[X ne_fZ½ZFdT\^]YM\+|[d W YÊz WY[X ZlYM\^]cY[Zg%_f\+Z\1dTZ Y[X dTb W Y[ZÃKg+Y W \+bÇY» W YMYM\^]nÇo !W b a_kdTiY[\1|[d W Y nÇo ! dT\ÀÂÁ?_fnmg+Y 7 Æ Dg1Y z{dfnenei]cbedf\+Z;|`+be bei+YM Z @g+Y Zli W Y z+nmdTbm]c_!]cbmdT\ n¼_Y W Y[ZF]6i+\kbmnebmY[i W _f~TbenmYHg+dT\^]6neYMZ}|[_fz%_f|Mbm] Y[X Z g+Y;z W dg+i+|J]cbmdT\h\1YsZFdT\^]yz+_fZ Zc_!\+Z>nmbe bm]cYMZ S q6TYM| nÇodTi1fY W ]ci W Yg+Y nÇo ! i W dTzY g+Y[Z RvÉ YJ]>ne_k dT\+g+be_fnebmZc_!]lbedT\ g+Ynpo YMX |[dT\+dfbmY nmY z W dTj+nÇYM» Y)g+YÍn¼_6z2Y[ |`+Y YJ]g+YÍZc_ WY[X ~TnmY[ Y[\^]`_a]cbedf\>Z[oY[Z5]?be z{dTZ YX |MdT Yi1\+YÍ\ Y[X |MY[ZFZlbm] Y X S Y[_fi+|MdTi+z g+YBbenmneYMZD|d! ]cbÇY» W YMZQgo ! i W dTzY TYJ]gor_fbenmneY[i W Z v]cb W YM\]DneYMi W Zz W be\+|Mbez%_!neY[Z W YMZlZldfi W |MY[Z Y[X |[df\+dT bei+Y[ZDg+Y n¼_½zY[ |`+Ys|[bmj+n YMX Yg+Y;|[Y W ]`_fbm\+Y[Z YMZlzYM» |[Y[Z>ÃKz+_ W Y Y[ z+neYnmY[ZÍzYM |`+Y[i W Zyz W dfYMZlZlbmdT\+\+YMneZÍg+Y;nporYMZF]ci+_fb W Y g+YHnporq6g+dTi W _TY[|ne_'zYM |`+Y;g+YHne_'|[bUTYMneneY g1i Zc_fi1dT\ 1g+YHnpox_!nedTZFY6dTiY[\+|Md W Yg+Yyn¼_'ne_f z W dTbmY neYMZ zYM |`+Y[i W ZQg+Y?n¼_Í|d! ]cY B_fZli+Y_TY[|)n¼_ÍzYM |`+YBg+Y?nÇor_f\+|`+dfbeZ2dTi'g+i']l+dT\ Æ Sv _}Zli W Y z+nmdTbm]c_!]cbmdT\goi+\+Y g+YH|MY[ZÍYMZlzYM» |[Y[Z zY[i1]Bbe\+g+i1b W Y6i+\+YHj+_fbeZFZlYHg+YMZ W YMZlZFdTi W |MY[Z Y[X |MdT\+dT bei+YMZg+YHne_ WYMX ~Tbedf\|[df\+Zlbmg Y X WY[X Y YM]}YM\] W _fbm\+Y W ne_ W _ WYMX K_f|J]cbedf\Êg+Y;|[YM]F]cYsY[ZFz2Y[» |MY S _!z+z{YMnedT\1Z2be|[b!i+YnÇor_f\+~Ti+bmnenmYYMi W dTz Y[X Y[\1\+YH!Ã #"$%&('('*)#)"$%&('('*) Æ Y[Z5]i1\+YY[ZFz2Y[» |MY)+Y 1z1nedTbU] Y[X Yy_Í» ne_ dTbmZg%_f\+ZneYMZY_fi g+dTi+|MY[ Z ^Zl_fi+ _! ] W Y[ZYM]?_ W bU]cbmYMZDg+Y n¼_ 7MdT\+Y Y[i W dTz YMX Y[\+\1Y S obe zd W ]c_f\+|[Yg+Y n¼_6z2Y[ |`+Y YM\ ~ Y[X \ Y X W _fng%_f\+Znpo YMX |[dT\+dfbmYg+inmbm]l]ld W _!nj+_fZli+Y ^YM]ZFbe\+~Ti1nebÇY» W YMYM\]D|[YMneneYg+YBn¼_6|[bmfY[nmneY YM]cZY ] W Y[ Y[ Y[\^]}_fz+z WY[X |Mb YX YM]B|[d2i1 ]lY[i g%_f\+ZÍ|MYM]l]lY WYMX ~TbedT\ _fbe\+ZFbÈi+Yg%_!\+ZÍn¼_ WY[X ~TbmdT\ TdfbeZlbm\+Y g+Y}nÇor_fi1] W YÍTY W Zc_!\]Bg+Y[Z V WY[X \ YMX Y[ Z Yz+nmbei+Y}nÇobe\^] Y X W YM ]]ldTi1])z%_ W ]lbe|Mi+nebmY W z WY[X ZFY[\^] YHX z+_ W npo YJX ]ci+g1Y6ZFi W neY ,%Y[iTYÏqyg+dfi W Qg1dT\^]n¼_ g1Y[Zl| W bmz1]cbmdT\ZlY W _² Y -{Y[|J]ci YMX YÏg%_f\+Zne_ ZlYM|M]cbmdT\Zli1bm!_f\^]cY )S Y[Z YJX ]ci+g1Y[Z WYMX |[YM\]lY[ZHdf\]H_!]l]lb WYsX npox_a]l]cYM\^]cbedf\hZFi W nmY'g Y[X |[nmbe\hz W dT\1dT\+| YsX g+YMZH|_fz]ci W Y[Zyg1Y>|[YJ]l]lY>Y[ZFzY[» |MY½g+i W _f\^] neYMZ>be\+~!]g+Y W \+bÇY» W YMZ_!\+\ Y[X YM Z _fY[|ÏY[\ z%_ W ]cbm|[i+nmbeY W nÇo Y -{dT\+g W Y[ Y[\^]ZFz{YM|M]`_!|[i+ne_fb W Y g+YÊ|[Y W ]c_fbe\+YMZ zYM |`+Y W beY[Z@|[df YQneY dT\^] W Yn¼_BneYM|M]li W Yg+YMZ@]c_fj+nmY_fi R YM] w g+Yn¼_BZlYM|M]lbedT\sZli+bU!_f\^]cY Sv _ÍZlbU]ci%_a]cbedf\ Ð.
(21) Y[Z5]_ WFW bU YMX Y_!iGzdTbe\^]'d/i» npox_fz1z+nebm|_!]lbedT\ g+iGz W bm\+|[bmz{Yg+Yz WYMX |_fi1]lbedT\ZlYM½j+neY g+YJTdTb W _fjdTi1]lb W _ » i+\+Y bm\]lY W g+be|J]cbedf\½g+Y n¼_HzYM |`+Y}dTi²_;» g1Y[Z W YMZF] W be|J]cbedf\+ZZli W ZFdT\Yz+nedfbm]`_a]cbedf\ Sf obe z{d W ]`_!\+|[YBZFd|Mbed!À Y[X |MdT\+dT bei+Y}g+Y6|[YM]F]cY6z2Y[ |`+Y W bmY W YM\+g zdTi W nÇobe\+Z5]`_f\^])g+b |MbeneYÍnpo YMX n¼_fjd W _!]cbmdT\goi+\+YHzdTnebU]cbmi1YÍi1b _fjdTi1]lb W _!bm]y_;» i+\+Y W YMbmZlYÍY[\|_fi1ZlYykY[ YÍz%_ W ]cbmY[nenmYBg+Y}|[YJ]l]cY6_f|J]cbmbU] Y X S ¿i W neY z+n¼_!\YMi W dTz Y[X Y[\i+\ ~ W dTi+zYgoY zY W ]cZ>YMZF]lbe Y i+Yz W YM» Z'g1Y wTÉ 222 z{Y W Zldf\+\+Y[ZsbmTYM\^]½g+b W Y[|J]cYMYM\]sg+iz W dg+i+bU]sg+Y |[YJ]l]lY½zY[ |`1Y½YM]yz{dTi W nmY'j%_!ZlZlbm\²g+Y'nÇoqyg+dTi W ne_zYM |`+Y½g+Y'n¼_|MbmfY[nenmY'|MdT\^] W bej+i+Y'z{dfi W YM\^b W dT\ uTÉ _fiÏ|`+b - W YHgÈox_ -È_fb W Y[ZB_f\+\i+Y[n S4 _fi+½i+Z wf Ç6S or_fi1] W YHz+_ W ] 1benZlYzdTZFYi+\ WYMX Y[nz W dTj+nÇY[» Y g+Yh|[dT\+\+_fbeZFZc_f\+|MY²Zl|MbeYM\]lb i+Y i1b}K_fbU]i+YhnÇodT\ \1Y²Zc_fbU]z+_fZ _fi dTi W gÈori+b}Y 1_f|J]cY[ Y[\^]ÊZFbyne_ g+bmbm\i]cbedf\H|[dT\1ZF]`_a] Y[X Y?Y[Z5]@neY WYMX Zli+nU]`_!]/gÈori+\1Y)ZFi W +Y 1z1nedTbU]`_!]lbedT\dTi;ZFb^Y[nenmYQ] W _fg+i+bU]2i+\+Y?g Y[X ~ W _fg%_a]cbedf\ z+nmi+ZÍ~Tnedfj%_fneYyg+Y;nÇoY[\^b W df\+\+Y[ Y[\^] S Y[ZD+Y z{Y W ]cZDg+Yne_}|MdT>i+\%_fi1] Y)X YMi W dfz Y[X YM\+\+YBg+dfbmTYM\^]D]cYM\+b W |[dfz1]lY)g1Y?]ldTi+ZD|MY[Zz%_ W _!hYJ» ] W YMZ Zld|[bmd!À YMX |[dT\1dTbmi+Y[ZYM]Zl|MbeYM\]lb i+YMZ _!_f\^]g1Yhz W Y[\+g W Y g1Y[Zg Y[X |[bmZlbmdT\+Z g+Y WY[X ~TnmY[ Y[\^]`_a]cbedf\ YJ] goY[\+|[_fg W Y[ Y[\^]}g+YHnÇoY z+nmdTbm]c_!]cbmdT\ S oi+\+Yg+YMZÍi1Y[ZF]lbedT\1ZÍz{dTZ Y[X YMZ _fi ÊZF|[bmY[\^]cb i+Y[ Z +|[dT\1|[Y W \%_f\^] nÇoY z+nmdTbm]c_!]cbmdT\²g+Yne_ W Y[ZFZldTi W |[YY[nenmYJÀÂhYM Y {YMZF]'g+Yg YMX ]lY W be\1Y W g+Y_!\+bÇY» W Y_fi+ZFZlbz WY[X |[bmZlYi+Y zdTZlZFbej+nmY|[YM]F]cY W YMZlZldfi W |MY S@ _kg+b |[i+nU] YX g+Yn¼_ ]a_f |`+Y WYMX Zlbeg1Y g+_f\+ZsneY½K_fbU]i+Yne_ W YMZlZldfi W |MYY[Z5] be\^beZFbej+nmY Q dTj+bmneY YJ]g1beZlzY W Z YMX Y |[YMn¼_ f_!i1]zdTi W ]ldTi1]cYMZnmY[ZY[ZFzY[» |MY[Z _ W be\+YMZdTi¯_fi%_a]cbei+YMZ Yz+nmdTbm] Y[X YMZ_» npo YJX ]`_!] \%_a]ci W Y[n S 3 nBY bmZF]cYÊz1nei+ZFbeY[i W Z YMX ]c1dg+YMZz{dfi W nÇoY[Z5]cbm_!]lbedT\g+YÊn¼_ W Y[ZFZldTi W |[Y S? oi+\+YÊg1Y[Zz W Y[ bÇY » W Y[ Z +bmZF]cd W bei+YMYM\^] 1ZFYHdT\+g%_!bm]ÍZFi W nÇo^zdf]l2Y[» ZFYg+YZF]c_!]cbmdT\+\%_ W bm] YyX YM] g1YZF]`_!j+benmbm] Y}X g+Yne_ W Y[ZFZldTi W |[Y S Î \ÏZli+z+zdTZFY'_!ned W ZBi+Yn¼_½zdTz+i+ne_!]cbmdT\ +Y 1z1nedTbU] Y[X YyZlY] W dTi1TYg+_f\+Z i+\ Y[X i+bmnebej W YyZ5]`_fj1neYYM] i+Y;ne_ zYM |`+Y\+Y| WY[X Y?ioi+\+Y?z{YJ]cbm]lYz{Y W ]ci W j%_!]lbedT\;i+bY[Z5]@g YMX ] W i+bU]cY6ÃKdTis|[dfzY[\+Z Y[X Y Æ z%_ W@W Y[z W dg1i+|M]lbedT\ S Î \Ê] W _!_fbmneneYy_fned W ZÍ_TYM|'g1Y[Z ZFZF]Y[» Y[Z}ZF]c_!]cbmi1Y[Z}_TY[|sg+YMZ}z+_ W _fkYM» ] W YMZ W Y[z WY[X ZFY[\^]`_!\]6neYMZB] W _fbm]lZ g YMX dT~ W _fz+1bei+Y[ Z z1ZFbei+Y[ZÍYJ]ÍgoY z+nmdTbm]c_!]cbmdT\ SÌ YM]F]cYH YMX ]l+dg+YH_ YJX ] Y6X bmZlY}Y[\Êg YJX K_fi1]Bg+_f\+ZBne_ z+nmi+z%_ W ];g+Y[Z;zYM |`+Y W beY[Z'z%_ W npox_fz1z%_ W bU]cbmdT\²g+Y ,%i+|J]ci%_a]cbedf\+Z;be z{d W ]`_f\^]lY[Z_fnmn¼_f\^]z+_ W dTbmZ i+ZFiÈo_ » g+YMZ>z+%_!ZlY[Z'g+Yi%_!ZlbUÀÂY ]cbm\+|M]lbedT\#i+bdT\^]>bmzdTZ Y X nmY W dT nmY g1Yn¼_Ïg1\%_f bei+Y S@ YMZ'Z5]`_!]lbeZ5]cbei+YMZ d- W YM\]Q_f|M]li+Y[nmneYMYM\]DneYMZ]cYM|`+\+bmi1Y[ZQgoY[Z5]cbm_!]lbedT\1ZnmY[ZDz1nei+Zz{dTz1i+n¼_fb W YMZ ,S ! \Z[or_fz+z+i1T_f\^]Zli W i+\ be\+bm½i+gor^zdf]cYM» ZlYMZB|[dT\1|[Y W \%_f\^]BnmY |M|[nmY}g1Y}beY}g+Y nÇoY[ZFzY[» |MYyYJ]g+Y ZFdT\YM\b W dT\+\1Y[ Y[\^] neYMZ ZF]c_!]cbmZF]lbei+Y[Z6bmZlYM\] _» g Y[X g+i1b W Y>g+Y[Zg+df\+\ Y[X YMZ W Y[|Mi+Y[bmnenmbeY[Z6_fi+z W Y[» Zg1Y[ZHzYM |`+Y[i W Z @_fi]`_f\^]i+Y½g1Y[Z |_!z%_!~T\+Y[Zs_½» n¼_> Y W 1g+YMZ}YMZF]lbe_!]cbmdT\+Z?g+Yg+bmfY W ZÍbe\+g+bm|_!]lY[i W ZBg+Ynpo YJX ]`_!]B_f|M]li+Y[ng1Yn¼_ W Y[ZlZFdTi W |[Y YM]6g+YMZ6z WYMX beZFbedT\1Z6ZFi W npo YJX ]`_!]}g%_!\+Z6i1\hi1]li W z W d|`+Y S{ _ i%_!nebm] Y;X g+Y'|MY[Z}Y[Z5]cbe_!]lbedT\+ZÍZFY>+YMi W ]lY ]cdfi1]cYJdTbeZ_!i |MdT\+\%_fbmZlZl_f\+|[YMZdT\+g%_f Y[\^]c_fneYMZHi+YnÇodT\ _ Zli W neY>dT\1|M]cbmdT\+\+YMYM\^];g+Yn¼_zdTz+iÀ n¼_a]cbedf\ Y z+nedfbm] YMX Y S _f\1ZsnmY|_fZsg+YnÇor_f\+|`1dTbeZg+i ;dfnmY½g+Y ;_fZl|MdT~T\+Y "$ )%' & " ) & ' % . . . . . . R2. .
(22) . . . .
(23) i+b W Y[z WY[X ZlYM\^]cYn¼_ z W bm\+|[bmz%_fneY'zY[ |`1Y W bmYg+Y½|MYM]l]lY WYMX ~TbedT\{nmY[Zyg1dT\+\ YMX Y[Z;g+Y[Zg Y[X j%_ W i+Y[ Y[\^]cZg1Y[Z zYM |`+Y[i W Z gori1\+Y6z+_ W ] ^g+Y[Z?|_f z%_f~f\+Y[Z_s» ne_Y W zdTi W nporYMZF]cbm_a]cbedf\½g+Y[Z;i1ZYM])n¼_|[dTnmneYM|M]cYÍg1Y[Z be\d W _!]cbmdT\+Z' YJX ] Y[X d W dTnmdT~Tbei+YMZ QgÈox_fi] W Ykz%_ W ] ZFdT\^]i1]lbenmbeZ YMX Y[Zg+YMz+i+bmZ z1nei+ZFbeY[i W Z _f\+\ YMX Y[Zz{dTi W neY;|[_fne|Mi+n/gorbm\+g+bm|_!]lY[i W Z}i+b@ZlY W fY[\^]Y[\1Zli+bU]cYsg%_f\+Z}neYMZ6z W beZFY[Z}g+Y>g YMX |[bmZlbedf\h|MdT\+|[Y W \%_!\]ynÇoYz+nmdTbUÀ ]`_a]cbedf\g+Y |[YJ]l]lYY[ZFzY[» |MY SD YMZ YMX |_ W ]cZsdTj+ZlY W Y[X Z>g%_f\+Z'z+nei+ZFbeYMi W Z;|_!Z>Y[\^] W YnmY[Zsz WYJX beZlbmdT\+Z;YM]>neYMZ i%_f\^]cbU] YMX Z WY[X Y[nmneYMYM\]}z W beZFY[Z |[dT\1g+i+beZFY[\^]_» YM]l] W Y;Y[\hg+dTi1]lY'nmY[Z |[df\+g+bm]lbedT\1ZÍgorYMZF]lbe_!]cbmdT\ÏZF]`_vÀ ]cbmZF]lbei+Y[Z SÌ Y'i+bYMZF]YM\²|_!i+ZlY½g+_f\+Zy|MY[ZH|[_fne|Mi+ne Z 4|[Y>\ÈorYMZF]z%_!ZynÇodTi1]lben2Z5]`_!]lbeZF]lbei+Y |MY>ZFdT\^]neYMZ dgYM» neYMZ@i]cbenmbeZ Y[X Z¾a_fbe\+ZFb bmn^\oY[ZF]DZc_f\1ZDg+dTi]cY?z%_fZ@be\+g+*b - Y X W YM\]gor_fz+z+nmbei+Y W i1\+Y) d W ]`_fnmbm] YDX n¼_ W f_!b W Y dvfY[\+\1Y WY[X z%_ W ]cbmYz{YM\+g%_f\^]sn¼_Êz Y X W bedg+Yg+Y W Y[z W dg+i1|M]cbmdT\ g1Yz WYMX Y X W Y[\1|[Y _Ï» i1\ZF| Y[X \+_ W bmdhg%_!\+Z neYMi+Y[n+ne_y d W ]c_fnebU] Y?X ZlY W _fbm]QY[ZlZFY[\^]cbmY[nmneY[ Y[\^]Q|MdT\+|[YM\^] WYMX Y6g+_f\+ZneYMZQ+YMi W YMZ?ZFi+bm!_f\^]ne_H\%_fbmZlZc_!\+|[Y S 3 n@Y[ZF] YMX ~^_fnmY[ Y[\^]yz W dTj%_!j+neYMYM\]6be zd W ]c_f\^]yg+Ys]cYM\+b W |[dT z1]cY'g+Y>ne_ WY[X z%_ W ]cbU]cbedf\ Zlz+_!]cbe_fneYMYM\] YJX ] Y X W dT~+YM» \+YHg+Y6n¼_'\1dTi WlW bm]li W Y}g+Y[Zn¼_ W TY[Z)g%_f\+ZneY}|_fnm|[i+ng+i]c_fi g+Yy| W dTbmZlZl_f\+|[Y S \+Y YMX fdTnei]cbedf\ WYMX |[YM\]lY ZMorYMZF]K_!bm] dTi W g+_f\+Z neY[Zd W ~^_f\+bmZl Y[Zbe\1|[bm]c_!]cYMi W Zg1Yhne_ W Y[|`+Y W |`+Y z{dTi W K_fd W bmZlY W nmY g YJX TY[nmdTz+zY[ Y[\^]6gori1\+Y;dg Y[X nmbeZl_!]cbmdT\z+nmi+Z z W d|`+Y;g+iÏdT\+|J]cbedf\+\+Y[ Y[\^] dTj1ZlY W Y>X g+YMZ}YMZlzYM» |[YMZ S Y z W d YJ]ÏY[i W dTz YMX Y[\ Í|MdT\+g+i+bU]Ï_fiZFY[be\Ng+Y npo YMX i+bezY²g+i VW dfYMZlZFY[i WhÎ beg+Y²q W bm\+d ZFY Zlb À ]ci1Y g+_f\+Zs|[YM]F]cY nebm~T\+Y½g+Y W Y[|`+Y W |`+Y S q6T_f\^]>zdTi W dTj Y[|M]lbm)be\+bU]cbe_fng1Yz W dg1i+b W Yi+\ dg2Y[» nmYg+Y | W dTbeZFZc_f\1|[Y YJ]½g+Y ZFi W bmY g+Yne_hne_ W fYZldfi+Z½nÇor_f|J]cbedf\G|[df\ i+~Ti YMX Y g+Y nporYM\^b W dT\1\+Y[ Y[\^]½z1ZFbei+Y ÃKnporbm\^]cY[\1Zlbm] Y'X g1i |[dfi W _f\^]yY[ZF]ydTi W \1beY;z%_ W i+\² dgYM» neY;g+Y'|[b W |[i+ne_!]cbmdT\ Æ YJ]Hj+bmdTnedT~fbei+Y ÃKnmY'z1]ld!À z+ne_f\+|M]ldT\ |[df\+Zlbmg Y X WYyX |[df Y n¼_;\+dTi WFW bm]li W Y}z W be\+|Mbez%_fnmYÍg+Y[Zn¼_ W TY[Z?g%_f\1ZneYMi W z+%_fZFYyz%_fZFZlbUTY Æ 1ne_ | W dTbeZFZc_f\1|[Yz%_ W Tj W dfi1]`_f~f#Y g+i z+^]cdfz+n¼_f\1|M]cdf\ \ox_Êz+iYJ ] W Ydg Y[X nmbeZ Y[X Y;K_fi1]cYg1Y½g+dT\+\ Y[X Y[Z;ZFi W neYz1]ldTz+n¼_!\+|M]ldT\ S Y ] W _!_fben1z WYMX ZlY[\^] YyX be|Mb4_ZldT\ d W bm~Tbe\1YBg%_f\+Z?|[Y z W d YM])Y[i W dTz YMX Y[\YM]?|[dT YÍdTj Y[|J]cbUÈz W Y[ beY W nÇor_fz+z W dfdT\1g+beZFZlY[ Y[\^]g1i|[dTi+z1n¼_f~TYn¼_ W TYJÀÂz+^]cdTz+ne_f\+|J]cdT\ S 3 n1ZMox_f~fbeZlZl_fbm]Dgoi+\+YÍz%_ W ]go YMX ]li+g+beY W neYMZ Y[X |_!\+beZFYMZ'g+Y] z{YZlYMi+beni+b?Y[\^] W Y[\^]Y[\ Y[ig+_f\+ZsneY W Y[| W i1]lY[ Y[\^]½g1Y[Z>ne_ W fY[ Z YJ] /gor_fi1] W Y z%_ W ] %g+Ys|[dfi+z+neY W |[Ys YMX |_f\+bmZl Y;_TY[|'n¼_g1\%_f bei+Ysg+ikz+^]cdTz+ne_f\+|J]cdT\ S Y;neYM|M]cYMi W ] W dfi1TY W _ g%_f\1ZHneYMZHg+Y[i ] W _!_fi G¾ νSÈV _ W g1dÏ_f\+g νS q W bm\+d wfË YM] νS{V _ W g+d w!Ð z WY[X ZlYM\^] Y[X Z;g%_!\+ZneYMZ _f\+\1Y Y[Z YM] Ì Ã`_'» ne_ \g+Yy|MYy Y[X dTb W Y Æ i+\+Y6z%_ W ]cbeY}g+YMZ W YM|`+Y W |`+Y[ZÍYM\^] W YMz W bmZlYMZÍ_fi g YMX j+i1]g+Y n¼_>]lY[» ZFY S Y#z W Y[ beY W ] W _f_!ben6_ª!_fbU]ÊzdTi W dTj YM|M]lbm'go YJX ]`_fj1neb W i+\NdgYM» neY²g1\%_!bmi1Y g Y[X | W bm!_f\^]ÏnmY ZF]c_fg+Y½ne_ W !_fb W Ysz%_fZFZlbm?g+YMZn¼_ W TYMZHgor_f\+|`+dTbmZÃKZ5]`_fg1Y½d/i²» Y[nmneYMZyZldf\];nmY>z+nmi+Z6i+nm\ Y X W _fj+nmY[Z Æ Y[\²i+Y g+Yd W ½i+nmY W neY]`_fi ½g+Y W Y[| W i1]lY[ Y[\^]g+Yn¼_ W TY[Zgor_f\+|`+dTbmZQz%_fZFZlbUTY[Zg+_f\+ZQnmY)Z5]`_fg+YZli+z Y X W bmY[i W fg+bU] _f|J]cbm S! _y| W dTbeZFZc_f\1|[YBg+YMZn¼_ W TYMZQg Y[X zY[\1g z W be\1|[bez+_fneYMYM\]g+YBne_6i%_f\^]lbm] YX g+YB\+dTi WlW bU]ci W Yz WY[X ZFY[\^]cY . RTR. . . .
(24) g%_f\1ZHneYMi W Z TdTbmZlZFbe\%_f~fY[Z S qybm\+Zlb!\1df] W Y> dgYM» neY;Y[Z5]|[dfi+z+n YÏX _» i+\ dg2Y[» nmYsg\+_fbmi+Y>g YMX | W bm!_f\^] neYZ5ZF]YM» Y |[dfz+nmY Yz+^]cdTz1n¼_f\+|J]cdT\À \i1] W be Y[\^]cZ S/ o YJX ]ci+g+Yg+Yne_ ZF]`_!j+benmbm] Y>X g+Y[Z Y[X i+bmnebej W Y[Zyg+Y |[Y;g+Y W \+bmY W ZFZ5]Y[» Ys\+dTi+Z}__f Y[\ Y X _» z W dg+i+b W YnmYg+Y[ibÇY[» Y;] W _!_fben S V dTi W g+YMZ W _fbmZldT\1Z'bm\+g Y[X zY[\1g%_f\^]cYMZ½g+Yne_ÏfdTnedf\] YX g+YnÇo Y[X i+bmz{Y gor_f|[|Mi+Y[bmn)g+Y|[YJ]l]cY ]cYM» ZlYDben Y[Z5]½_!z+z%_ W ii+Y n¼_ dg Y[X nebmZc_!]lbedT\ g+Yn¼_Êg1\%_f bei+Yg+Y nÇor_f\+|`+dfbeZ\+YZlY W _fbU]sz%_fZs_fz+z+i YMX Yz%_ W g+YMZH|_f z%_f~f\+Y[Z_» n¼_ Y W YM]yiÈorYM\#z+_ W ]lbe|[i1nebeY W _fi+|[i1\+Yg+dT\+\ Y[X Y½ZFi W neYsz+^]cdTz1n¼_f\+|J]cdT\ \Èo YJX ]`_fbU] g+bmZlzdT\+bej1neY ES ! \ÊhY[ Y}]lY[ z+Zg1bmTY W ZBd W ~^_f\1beZl Y[Z?neb Y[X ZH_>» npor+Y 1z1nedTbU]`_!]lbedT\g+YMZ W YMZlZldfi W |MY[ZBbm!_f\^]cYMZ g%_f\1Zne_ WY[X ~TbmdT\ _!\+bmYMZF]`_!beY[\^]i+\ be\^] Y X W YJ ]zdTi W g+YMZY -Èd W ]cZg+Ykdg YMX nebeZl_!]cbmdT\ZFi W ne_ |[bmfY[nmneY S _Gz%_ W ]cbmYhz W be\+|Mbez%_!neYkg+Y |MY² YMX dfb W Y W Y[\+g|MdTz]cY gÈori+\1Y²z%_ W ] ?g+Y²n¼_#dg YMX nebeZl_!]cbmdT\ g+Y²ne_ g1\%_f bei+Y;g+Y;ne_½|[bmfY[nmneY 1YM] %gÈox_fi] W Y;z%_ W ] 1g+Y;nÇor_f\%_fnUZFYg+ikdgY[» nmY S. Rvw.
(25) t G ¯ _h dg YMX nebmZc_!]lbedT\ g+YMZ ,%iGg1Y|[bUTYMneneYMZ'ZMorbm\+Z[Y» W Yg%_f\+Z'neYz W df~ W _f Y YMi W dfz Y[X YM\z+nei W beg1beZl|MbUÀ z+nmbe\%_fb W Y 3ÂÁ
(26) |[dT zdTZ YX g+YMZ Y[X i+bezY[ZZFi+bm!_f\^]lY[Z¾Èj1bedTnmdT~TbeZ5]cYMZyg+i q $ À=3 !? ! ( g+Y bmg%_ W ];ZFdTi+Zsn¼_ g+b W YM|M]cbmdT\ g+Y VS/VW dTi 7[YM] /j+bedTnmdT~TbmZF]cYMZHg+YnÇo !V ! g+Y V Y W z1be~T\%_!\ZFdTi+Zsn¼_Êg+bUÀ W YM|M]lbedT\ g+Y ;S2 Y[|[df>]cY ÀDbm\+be~TY W \i+ Y X W bm|[beYM\+Z;g+YnÇo yVV q
(27) 'ZldTi+Z;ne_Ïg1b W YM|M]lbedT\ g+Y S q6_ W _ ZF]c_!]cbmZF]lbe|[bmY[\+Z;g+YnÇo 3H¿q >g+Y@dTi+nedfi+ZlYZldTi+Z'n¼_Êg+b W Y[|J]cbmdT\g1Y S W i+dT\1~!ÀÂÁ?_f\@g1i q Í¿q g+Y W Y[\1dTj+neYZFdTi+Zsn¼_ g+b W YM|M]cbmdT\ g+Y S HW dTi+YJ];goqyi+j+bm~T\^ YM]sYM\ \Gg1Y npo YMX i+bezYg+Y¿ZF]Y[» Y[Z \%_f bei+YMZÍg+Y;nÇo yVV qZldfi+Z n¼_g+b W Y[|J]cbedf\Êg+Y ÎS q W bm\+d S ordTj Y[|M]lbm !_f½j+bU]cbmY[i vY[Z5]gor_fbeg+Y W _y» ne_}~fY[ZF]lbedT\ W _!]lbedT\+\1Y[nenmYg+YBn¼_}zY[ |`1Y'_y» n¼_}|[bUTY[nmneY ag+_f\+ZQnmY g+dTi1j+neY'ZldTi+|MbDg+Y>z WYMX ZlY W TY W nporYMZlzYM» |[Y Ègoi+\+Yz%_ W ] YM]ygor_fi1] W Y½z%_ W ] gor_f YMX nebmd W Y W npor+Y 1z1nedTbU]`_!]lbedT\ g+Y |MYM]F]cY W YMZlZFdTi W |MY S o YMX ]ci1g+YÊZlYd|_!nebeZFYZFi W neYj%_fZFZlbe\g1YÊnÇoqyg+dTi W @|[dT\+ZFbeg Y X WY X |MdT Y 7[dT\+Y À _!]lY[nebmY W g1dT\^])nmY[Z WY[X Zli1nm]`_a]cZZlY W dT\^]?] W _!\+ZlzdTZc_!j+neYMZ_» g+Y \+df½j W YMi+ZlYMZ_!i1] W Y[Z W bUbÇY» W Y[Z SV _ W _fbmneneYMi W Z nÇoqyg1dTi W z WY[X ZlYM\^]cY>g1Y[Z |_ W _f|M] Y X W beZF]lbei+YMZ}z W dTz W Y[Z}i+b2Y[\ÏdT\^] i+\Ï]cY WFW _fbm\Ïgo YJX ]ci+g1Y'z W bmben Y[X ~Tb Y X S 6dTi1Z}z WY[X ZFY[\^]cdf\+Z be|[bÈneYy W i+bm]g+Y[Z W YM|`+Y W |`+Y[Z6Y[\^] W Y[z W beZFY[Z}_fiÏZlYMbe\Êg+Y;nÇo Y[X i+bmz{Yyg+Ys¿ZF]Y[» Y[Z \%_f bei+YMZ S _f\+ZsneYj+i1]sg+Y WYMX g+be~fY W i+\ Y[X dTb W Y_f|M|[Y[ZFZlbmj+neY _k» i1\Gn¼_ W ~TYz+i1j+nebm| z1nei W beg+bmZl|[bmz+nebm\%_fb W Y 4nmY z+ne_f\ g+Y|[Y_f\i+ZF| W bU]Z[or_ W ]cbe|Mi+neY½_fi1]cdfi W g+Yz+nmi+ZlbmY[i W Zz%_ W ]cbeYMZHbe\1g Y[X zY[\+g+_f\^]cY[Z S ¿bQ\ YMX |[YMZlZc_!b W Y neYMZ½\+df]lbedT\1Z½g+Y _!]c Y[X _!]cbmi1Y[Z½YMz+nmdª YMX Y[Zg%_!\+Zi+\+Y z+_ W ]lbeY ZFY W df\] W _fz+zY[n Y[X Y[Z_!ig Y[X j+i]g+Y |[YMnenmYJÀ |Mb S YÍhYM Y f\+dTi1Z)_fdT\+Z W YM] W _f\1Zl| W bm]ne_H|` W dT\1dTnedT~fbeYBg+YÍ\1df] W Y ] W _!_fbeng%_f\+Zne_ WY[X g+_f|M]lbedT\ S _Gz W YMbÇY» W Y z%_ W ]cbmYhYMZF]Ê|MdT\+Zc_!| WYMX Y _G» n¼_#g+Y[ZF| W bez1]lbedT\¯g1i|[dT z{d W ]cYMYM\^] be~ W _!]cdfb W YÊg1Y[Z |[bUTYMneneYMZDg%_!\+ZQnÇoY[Z5]ci%_!b W Y)g+YÍnÇoqyg1dTi W[S 6dfi+ZQY zdTZldf\+Z_fi+ZFZlb+ne_6 YMX ]c1dg+Ygo YMX |`%_f\^]cbmnenmdT\+\%_f~fY) beZFY 7986;:<!")!*, '!=;"#$&6?%'> "#(#:A")$+1,*,$ !".-/B*0$ $ 13$+2 45-/*0$&")EF "#*060$ (G2 H?I,E0(#")J")6 1,$ (.LKMHNB OTS+HU @60"#V(#$Q$+PN:!")0 $QW !".1,-/$ *0@ $&P?10*X$+:$%'510*,$+@D:RC $+P?:RZH?@DY,C :A*;1,1,$Q$S: ([2 451,*0 \`+86;:<!")!*, '!]'"#J$&")1,$ 6; _/(^DJ1,$S"#::<!_ ".-/@ "#*0$9$ 6 @$$+5:54546;E0 E0(#Y,(#".:<-$ *A1,$9W $S$ : a'606A$9W $S: Rª . . .
(28) Y[\z+n¼_f|MY6z+_ W npo YMX i+bezY6g1Yyj+bmdTnedT~fbeZF]lY[Zg+i q.g+Y#beg+_ W ] nmY[Z?g+dT\+\ Y[X Y[Z W Y[|Mi+Y[bmnenmbeY[Zg+YJ!_f\^]HYM ] W Y z%_ W ne_Zli1bm]cY Yz+nmdTbm] Y[X YMZ\i1 Y X W bei+YMYM\^] 2neY½ dg+Y½g+YzYM |`+Y z W dfYMZlZFbedT\+\1Y[nD YMZF] YMX ~^_fneYMYM\^] g YJX ]`_fbmnen Y X S ! \#|[dT\+|Mnei+ZFbedT\ g+Y|MYM]l]lYz W Y[ bÇY» W Yz%_ W ]cbmY\+dTi+Zs_Tdf\+Z' beZynÇor_f|[|MY[\^]sZli W neY W dT neY dfi Y X z%_ W neYMZ|MbmTYMnenmY[Z?g%_f\+Z)nÇo Y[X |[df\+dT beY ned|_fnmYÍYM]bmZ?YM\ nei1bÇY» W Y nporbmzd W ]c_f\+|MYÍi1YHz{dfi1!_fbm])_TdTb W |MY ] W _f_!ben_!ihZFY[be\kg+ikz W df~ W _f YyY[i W dTz YMX Y[\ S Y)ne_Íg+Y[ZF| W bmz1]cbmdT\sg+i>|MdTzd W ]cY[ Y[\^]@ be~ W _!]cdTb W Yg+Y[Z|[bmfY[nmneY[Z/YJ]g+_f\+ZDnmYj+i1]go YMX ]`_!j+neb W \+df] W Y dgYM» neY'g%_f\+Zne_g+Y[i 1bÇY[» Yz%_ W ]cbeY {\1dTi+Z;_TdT\1Z W YM]lY[\i neY[Z W Y[|MdT _f\1g%_!]cbmdT\+Z6g+Y[Zj+bmdTnedf~TbeZ5]cY[Z YM]}%_!nebeYMi1]cYMZ S 3 n2ZMox_!~Tbm] goi+\kZFZF]Y[» Y'gÈo YMX i+_!]cbmdT\+Z i+b2hYM Yg+_f\+Z neY|[_fZ Zlbe z+nmb YHX g1ih dgY[» neY |_!\%_fn?z WYMX ZlY[\^]lYÊg+Y[Z½g1b |[i+nU] YMX Z>be zd W ]c_f\^]cY[Z SÌ orYMZF]i+\1Y Y[X i%_!]lbedT\go YMX Tdfnei1]lbedT\g Y X \1bz%_ W i+\ dTz Y X W _!]lY[i W g1Y} be~ W _!]lbedT\'i1b%|`%_f\+~TY g+YB] zY½_;» ne_ydTbeZDg%_f\+ZnporYMZlz%_f|MY YM]?_fi|[dfi W Zg+i]cYMz1Z S _ !_ W be_fj+bmnebm] YBX ]cYMzd W YMnenmY6YMZF] n¼_'z+nei+Zbe\^] Y X W Y[ZFZc_f\^]lYsz1i+beZFiÈorYMneneY6Y[Z5]}_fZlZFd|Mb Y[X Y _½» n¼_>_ WYMX YHi+bÈYMZF] nmY z+ YMX \+dThY[» \+Y>z+^ZFbei+Y| W i+|Mb¼_fn/zdTi W npox_ WlW bU Y[X YsYM]HnmY>g YMX z+n¼_!|[Y[ Y[\^]yg+Y[ZH|MbmfY[nenmY[Z6g%_f\+Z6nÇoY[ZF]li%_fb W Y S V dfi W g1Y[Z W _fbmZldT\+ZÍg1Ys]lY[ z+ Z %_fbeZ _!i+ZlZFb@g1ihK_fbU]Íg+Y[Z}be\1|[Y W ]cbU]ci+g+YMZy_T_f\^]yzY[Z Y'X ZFi W neY;|`+dTb Ïg+i dgYM» neY {\+dfi+Z\or_ªfdT\+Zz%_!Z YMX ] Y>X Y[\ YMZli W Y½gor_fjd W g+Y W n¼_ WY[X ZFdTnei1]lbedT\k]c YMX d W bmi+Yg+i dgYM» neY'Y[\ ]cdfi1]cY;~ YMX \ Y X W _fnebU] Y X S 6dTi1Z}\1dTi+Z ZldT Y[ZÍz+ne_f| YMX ZÍz{dTi W n¼_ WYMX ZldTnmi1]cbmdT\ ]c YMX d W bmi+Yg%_f\+Z npor^z{d!]cYM» ZlY g+YZ5]`_!]lbedT\+\+_ W bU] Y½X g+i |MdTi W _!\] S/Ì YM]F]cY^z{df]lY[» ZFYYMZF]s_fg1bmZlZlbmj+neY'g%_f\+Z;|MY W ]c_fbe\1Y[Zz+%_!ZlY[Z;g+Yne_ _ WYMX Y S ¿dTi+ZQ|MYM]F]cYB^z{d!]cYM» ZlY fneY?g+dT_fbe\+Y?zY[i1]ÍYJ ] W YZli1j{g+bUbeZ YX Y[\i%_!] W YZFdTi+Z7À g+dT_fbm\+Y[Z Y[Z g%_f\1ZB|`%_f|Mi+\Êg+Y[ZFi+Y[nmZÍben4Y[Z5]BzdTZlZFbej+nmYyg+Y WY[X ZFdTi+g W YHZ YMX z%_ WY[X Y[\^] nÇo Y[X i%_!]lbedT\ S Y6|[dTi+z1n¼_f~TY}Y[\^] W Y neYMZZldTnmi1]cbmdT\+ZHg+_f\+ZneYMZg+b - Y X W Y[\^]cZ;ZFdTi+Z5ÀÂg+dT_fbe\1Y[ZHZFYK_!bm]_ » ] W _TY W Z;neY[Zbm\^]cY W K_f|[YMZg+Y|[dT\^]c_f|M] S 6dfi+Z_TdT\+ZgÈox_fjd W g YMX ]`_!j+neb)nÇoY beZ5]cY[\1|[YÊgoi+\+YÊZFdTnei1]lbedT\GZF]`_a]cbedf\+\%_fb W Y g+YÊnÇo Y[X i%_!]lbedT\G|[dTi W _f\^] Z[or_f~TbmZlZl_f\^]goi+\+Y Y[X i%_a]cbedf\ \+df\À nmbe\ Y[X _fb W Y g+i ZlY[|MdT\+g¯d W g W Yh_fY[| g1Y[Z |[dT\+g1bm]cbmdT\+Z _fi nebe bm]lY[Z _fi g+YMi j{dfi1]c Z ne_kg YMX df\+ZF] W _!]lbedT\#\ Y[X |MY[ZFZlbm]lY nÇoi1]lbenebmZc_!]lbedT\ gori1\G]c YMX d W YM» Y g+Yz{dTbm\^] Yg+Y ] z{Y]ldTz{dfnedT~Tbmi+Y S V _ W _fnen Y[X nmY[ Y[\^] ª\+dfi+ZQ_Tdf\+ZDg YJX TYMnedTz+z Y X fg+_f\+ZDne_}|Mbe\+i+bÇY[» Y)z+_ W ]lbeY ªi1\+YB_fz1z W d|`+Yz+_ W ZFbe½iÀ n¼_a]cbedf\+ZQ\i+ Y X W bmi+Y[Z?i+b%Z[or_ - W _f\+|`1bm]?g+Y n¼_|[df\] W _fbm\^]cY g+Y ZF]c_!]cbmdT\+\%_ W bm] Y X S^ Y[Z WY[X Zli1nm]`_a]cZdTj1]lY[\i+Z z%_ W'WYMX ZldTnmi1]cbmdT\Gz%_ W g+*b - Y X W Y[\1|[Y[Z \+beYMZ>ZFdT\^]|[dT\d W Y[Z>_fi dTj YM|M]cbUZ½i%_fnmbm]`_a]cbmZg1idgY[» nmY S Y[ZÍ] W _f_!i WY[X _fnebmZ Y[X ZÍg+_f\+Z neY|[_fg W Ysg+Y;|[YJ]l]lY;]lY[» ZFY'ZFdT\^] YJX beg+YM Y[\^] z WY[X nebmbm\%_fb W Y[ Z i1\+Y;g+beZ7À |[i1ZlZlbmdT\GZFi W nmY[Zsg+b |Mi+nm] Y[X Z W Y[\1|[dT\^] WY[X YMZ½YM]'neYMZ'zY W ZlzY[|M]lbmfY[Z>g1Yg YJX TY[nmdTz+zY[ Y[\^]½i1nm] Y X W bmY[i W Y[Z5] K_fbU]cY_» n¼_ \kg+ik YMX dfb W Y S . . R.
(29) L # . t # L t .
(30) t D L L + D . RvÉ.
(31)
(32) ¡ h¡ ¢s£Q¥ ¤ ¦[¥§{¨ª©1¨v«¬§¯®@° ©%¦[¦«p§®/¥²º7³
(33) ®@¬° £. , . .
(34) !#"$ . orq6g+dTi W Y[Z5]i+\ ,%Y[i1fY g+iZFi+gÀÂdTi+Y[Z5]?g+YÍn¼_ W _!\+|[Ysà ^&%c2(' ¯YM] R%cTw('*).Æ nedT\1~g+Y T^É z W Y[\%_f\^]\+_fbeZFZc_f\+|MY½z W Y[» ZHg+i dTi W _fneYJ]à _fi1]lY[Z V WY[X \ YMX Y[Z Æ YJ]HZlY YM]`_!\]yg%_f\+ZynÇoqB]cn¼_!\]lbei+YÊ_ » qy\1~TneYJ]Ïà V WYMX \ Y[X YMZqB]cn¼_!\]lbei+YMZ ÆJS 3 n W Y[z WY[X ZlYM\^]cYÏneY É bÇYM» Y WY[X ZFY_fi ^g W df~ W _fz1+bei+Y g1Y W _f\+|MY _TYM| Rª^uff ( g+Y j%_fZFZlbm\GTY W Zc_!\] S orYMZF]li%_fb W Yg+YnÇoqyg+dfi W ZFYg+bUbmZlYY[\] W dTbeZ#7[df\+Y[Z½d2i» neYMZ WYMX ~TneYMYM\^]`_!]lbedT\+Z)Zli W nÇoY Y W |[be|MYHg+YHne_>zYM |`+YZldT\^]Íg1b - Y X W YM\^]cY[Z S \1Y?7[dT\+Yy_ W bm]lbe YÍi1bZ[o YMX ]lY[\+g Zli WswTw {g+Y[z+i1beZnÇoY[>j{dTi1|`i W Y i+ZFiÈo_Ê» n¼_nebe bm]lY;g+YZc_fnmi W Y>g+Y[ZY[_fi Y[X Yz%_ W g Y[X | W YJ] à i+bmneneYJ] RªË^ÉfTÆ _!i zdT\^]Hgo 6W ] S _zYM |`+Y½Y[Z5]Zldfi+ZynmYs|MdT\^] W dT neYsg+Y[Zyq-È_fb W Y[Z _ W bU]cbmYMZÍYM]HZFY[i+nmZ neYMZB_ W bm\+ZzYM |`+Y[i W Z}z{YMi1TYM\] Y Y W |[Y W nmY[i W Z _f|M]lbmbm] Y[X Z S \+?Y 7[dT\1Y ,%i1b¼_fnmYH *b ]cY6i1bZ[o YMX ]lY[\+g g+izdT\^]go }W ] i+ZFiÈox_fi zdT\^]g+YBÁHbmzd W ]DZli W nporq6g+dTi W à ÉTu g+YÍnÇoY[>j{dTi1|`i W Y Æ YJ]H_'» ¿d W g+YMZ Zli W neY s_TYÍgÈo Î ned W dT\ à Éf g+YBn¼_6Y W`ÆJS _f\+ZD|[YM]F]cY 7MdT\+Y Tn¼_}z2Y[ |`+Y YMZF]ZFdTi+ZneY)|[dT\^] W dT nmYg+YÍne_ ? , q + S \+Y 7MdT\+Y ,%i1b¼_!neYd2ik» ZlY[i1ne Z 4nmY[Z zY[ |`1Y[i W Zyz W dfY[ZFZlbedf\+\+Y[nmZ ,+i1b¼_fi Êz{YMi1TYM\]Hz W _!]lbei+Y W n¼_#zY[ |`1Y ZldTi+ZneYk|[dT\^] W dT neYhg+Y²ne_ ? q S Y[z+i1beZnmY g YMX j+i1]Êg1i¯ZlbÇY[» |[nmY ?neYh\+dT½j W Y g+Y _ W be\+Z zYM |`+Y[i W ZÍZli W nÇoqyg+dTi W |[dT Y6_fi \1bmTY[_fi \%_a]cbedf\%_fn ^YMZF]ÍYM\Ê|[dT\1ZF]`_!\]lYHg+bmbm\i]cbedf\ VW dTi 7[YM] .S ! \ RªÐTÐTË T _ W be\1ZBzY[ |`1Y[i W Z YMX ]c_fbeYM\^] nebe|MY[\+|Mb YMX Z _fi Ì 3 V !21vSÎ \Ï|[dT z1]`_!bm] YMX ~^_fneYMYM\^] )'0/ T Ç6 u 2 z2Y[ |`+YMi W Z ,+i1b¼_fi W YMneYJf_!\]6g+i WY[X ~TbmY'_f~ W be|MdTneY;YM]yY[\^] W Y w 2 YM] wfÉ zYM |`+Y[i W Z ,%i1b¼_!i h\+dT\ _f~ W be|MdTneYMZ S . . . 43. . "5 67 ,89 :;<;=>? , @ 8BAC8D EC !F =. ox_f\1~Ti+benmneY½YMi W dfz Y[X YM\+\+Y #"$%&('('*) )"$%&('('*)CG &(""IKH JzdTbeZFZldT\ ] YMX n YMX dTZF] Y[X Y[\ML½_f\+~fi+benmnebmd W Y>_fzÀ z%_ W ]cbmY[\^]G_» n¼_#K_fbmnenmYÊg+Y[ZÊq6\+~Ti+bmnenebmg%_fY S?Ì orYMZF]ki+\+Y YMZlzYM» |[Y bm~ W _a] W bm|[Yk_f z++bm%_fnebm\+YÏ]c%_fne_fZ5À Zld!]cdi1YÊg+dT\^]neYZF]ld| |[dT\^]cbm\+Y[\^]c_fnBY[Z5] WYMX z%_ W ]cbZFi W neYz{dfi W ]ldTi W g+YnÇo ! i W dTzY g+Y npo Î i+YMZF]YJ] g+i 6d W gg1Ynporq} W bei+Y S ¿dT\#|M|MneY g+Y bmY zY[i]'ZFY WY[X ZFi+Y W j W bÇYM» TYMYM\^]k_Ï» nÇor_fbeg1Yg+Yn¼_ ~Ti W Y 3 3 SxwSÈ or_f\+~fi+benmneY'_fg+i+nU]cY {nÇor_f\+~Ti1benenmYs_ W ~TYM\^] Y[X Y È!_Êg+i W _!\]HZc_Êbm~ W _a]cbedf\hYM\#~ W _f\+g1Y½z W d!dT\+g+YMi W _f|Mi Y X W b W Zc_;_a]ci W bm] YX ZlY i+YMnenmY SÌ YM]F]cY be~ W _!]cbmdT\>YMZF])\+dT YMX YBbm~ W _a]cbedf\>|_a]`_fg W dT Y S q6z W YM» Z)ne_ zdT\^]cY g+Y[Z?_f\1~Ti+benmneYMZ_ W ~fY[\^] YMX Y[Z?g%_f\+Zn¼_H Y W g+YMZ)¿1_ W ~T_fZlZFY[Z $ON ^|MY[nenmY[Z7À |[bTdT\^]?dfi W b W YM]?neYMZ ;i1Z P a5"#$ @ ")6 a $+W E; !!#$ QRQ $+6/ (#$Q1,$ ([2 T4 S!" @ *;( *0!;$ U VXW . QRQL"#::!")6 8 6/!$+!E;!. Y $+::<"#606;$9(#()$Q1,$+:RP "#::!6;Z: QL[" S !$+*0: $951,$+:RH : *; "#!$SF: U \#]_`^ a `^ bdcFe `^ `fCgih 10*jS!$ l@ kXmonqprk4s :utov/E"#::!6 /:!:!$9*,Ix w * @DC $5!$9rQL")6 (#$.v, *,I 0D 6 @DC ")$S:N$ @ *0V$9!!$S:?E; 1,$Sq:AzK{}EF|$9~X d@ |*0(#$+#: v!w 4$ W @ (S"#*0()(#$ $+: 0!E0*;(.J60$D$+:Rw $9 Z y()60(#$ $+#: U #$Sw :A()6SL$T <D 6/#vF1,6/(G2 *Q *0(.J")6Y rQ $;v; *(. rS$ 1,$S: !$+: @; 1,$ = (#"#1,$ ch c#K `$9g1,$S:5_, S/::<$Sr: tvC*06;$ VN$9W " D 0(#$ Y $ QL!"#60;$ U @9@ Rvu .
(35) ¡ µ
(36) ¦ ¥±f¨ª¦ «K¬º¬!{«
(37) °/¥¦®°¯± 2±^ºK¥ ®@¥ 2 «K¥h®@¥²º5³ ©%§!°«Kºpº¥. , . 3 3 SUR G )' & )d- & " '*) "
(38) KH )" !- &('(' "" ) $ ' % ;/ " - ' )%i- %i- !)! "" "$#%'&( . . . . . . . . . . . . . . . . 4- *) 4-r/,+. q-. .-. )" # '*)) &
(39) ) +& & # ' % )& . ". . %. -/.. . 10 1.. . S w243 ' 25 & 2 ' )"$%&('(' KJ #"$%&('('*) )"$%&('('*)G/6+ % 7 (8 Tdf\] YMX |[nmd W Y g1dT\+\%_f\^]\+_fbeZFZc_f\+|MYG_²» g+Y[Zne_ W fY[Z½nmY[z1]ld| Y[X z++_fneYMZ $ $ à ~fi W Y 3+3 SxTÆJSÌ YMZn¼_ W TY[Z W Y[Z7À ZlYM½j+nmY[\^]'_s» g+Y[ZYMi+benmneYMZ?g1Y¿1_fi1neY}g+YHi+Y[nmi+Y[ZB benmnebmhYJ» ] W YMZDg+YynedT\+~fi+Y[i W à ~Ti W Y 3 3 SÆJS q.nÇor_fbeg+Y g+iÏ|[dfi W _f\^]}g+i ;i1nm¼À5¿] W Y[_fAYM]}goi+\+Y;\%_f~fY;_f|M]lbmTY+neYMZÍneYMz1]cd| YMX z+%_fnmY[ZBTdf\]} be~ W Y W 1g+YMz+i+beZ ne_ !a5 * S!$ @ 9[p:dnqkXm QL")6 @ $ $1 ; p:=<?>9Ap @ $ !$ RªË . 3+3. . . . . . . . . .
(40) ¡ µ
(41) ¦ ¥±f¨ª¦ «K¬º¬!{«
(42) °/¥¦®°¯± 2±^ºK¥ ®@¥ 2 «K¥h®@¥²º5³ ©%§!°«Kºpº¥. , . N ^||. . 33. Sr. #&. . . . )&. .- "H ) 4- &q-!& . . . ' )"$%&('(' % .- ". . . . . . /6+. +& % . . . %. 3 3 S2 5 ' %i- & " " ' $& % .- .H - )! ' #'*)'*) 5 ' " - 2"H )' ) ) &*$ ' .- + XJ .
(43) }/ */ G " - 2"H )' $IJ &!/ G " - 2"H )'
(44) }/G " - "H )' $IJ /6+ - ) % .H - )! ' !$/+ % 7 (8. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 (8. . . '*) &5'('. 2$IJ. . . Y W +g YMZ¿_ W ~^_!ZlZlYMZ TfY W ZnmY[Z|d! ]cY[Z?_! W be|[_fbe\+YMZQYM]YMi W dfz Y[X YM\+\+Y[Z S i W _f\^]Q]ldTi1]cYÍne_Hbm~ W _a]cbedf\>Y[nmneYMZ \+Y½fdT\^]'z+_fZ;|[Y[ZFZlY W g1Y ZMox_!nebe Y[\^]lY W zdTi W |MdT\+Z5]cbm]li+Y W i1\_ be½i1 g1Y WY[X ZFY W TY[Z Y[X \+Y W ~ YJX ]cbmi1Y[Z Y[\ i+Yg1YHneYMi W YMX ]c_fd W z++dfZlY i1]ci W YHY[\Ê|MbmfY[nenmY S1Ì YHZldf\] g1Y[ZBbm\+g+bmbmg+i+Zz Y[X n¼_!~Tbei+YMZ $
(45) ( bU!_f\^] 7+a5$ (. C *,!$ QL$9 RªÐ.
(46) ¡ µ
(47) ¦ ¥±f¨ª¦ «K¬º¬!{«
(48) °/¥¦®°¯± 2±^ºK¥ ®@¥ 2«K¥h®@¥²º5³ ©%§!°«Kºpº¥ Y[\^] W Y ^É YM] 22 hYJ» ] W YMZyg+Y'z W d!dT\+g+YMi W NYMZl|` ^u pS i1|[bmi1~TY[Z {|MdT Ysg%_f\+Z}]cdTi+Z}neYMZH_fi] W YMZ ZF]c_fg+YMZHg+Y;bmY>g+Y'nÇor_f\+~Ti1benenmY Y[nenmY[Z zdTZlZ[Y[» g+YM\];i1\²dfi1TYMYM\]6\^|M]c Y[X Y X W _!n
(49) $ g%_f\1Zyn¼_|[dfnedT\+\1Y goY_fikZlYM½j+ne_fj+neY_» |MY[nei1b2g+ihz1n¼_f\+|J]cdT\ S Y[» ZHnmY[i W _ WlW bm Y[X Y>z W YM» ZHg+i²]`_!nei+Z6g+i z+n¼_a]cY_!i²|[dT\^]lbe\+YM\]c_fn neYMZynmY[z1]ld| Y[X z+%_!neY[Z6TdT\^]g YMX j+i1]lY W neYMi W YMX ]`_!d W z++dTZFYY[\k|[bUTY[nmneYMZB] W _!\+Zlz%_ W Y[\^]lY[ Z DÃ ~Ti W >Y 3+3 SÉTÆ S , . . . . %. . SÉ. 3+3 . %. -O- " - %&5 ' % 2 . . . . . . . &5'(' . d-. &*$ ) & ". . 5. . % ' )!. . . " ". . -r/+. . . %. q-. " & !& ". . 7 (8. . (! " )! . & %. . . )!5 ) 8 '. . ¿ i W n¼_|df ]cY B_fZFi+YGnmY²]`_fnmi+ZÊg+iÅz+n¼_!]lY_fiÅ|[df\]lbe\+YM\^]`_fnZFY#ZFbm]li+Y ] W YM» Zhz W Y[» Zkg+YMZh|df ]cYMZkYJ] g+YnÇoY[Z5]ci%_!b W Y>g+YnÇoqyg+dTi W[S2 _Êg+beZ5]`_f\1|[Y _Ê» z%_ W |[dTi W b W z%_ W neY[Z|MbmfY[nenmY[Z z{dfi W _!]l]lY[bm\+g W YnporYM\^] WYMX Y g+Y²nporYMZF]li%_fb W YY[Z5]Ï_fbm\+Zlb WYMX g+i+bm]lY S) _G YJX ]`_f d W z++dTZFYhYMZF]Êg YMX |[nmY[\+|` YMX Y z%_ W i+\¯ZlYMi+ben6g+Yh]c_fbenmneY _ » _!]F]cY[bm\+g W Yz%_ W neY[Z>n¼_ W TY[Z>neY[z]cd| Y[X z1%_fneYMZ S ! nmneYZ[o Y[X |`+YMnedT\+\1YkZFi W i+\1YÊz Y X W bedg+Y!_ W be_f\^]½g+Y 2 _ » Ð 2 dTi W ZÊZli+bU!_f\^]Ên¼_ne_!]cbU]ci+g+Y SÍÌ YJ]l]cY YMX ]c_f d W z+1dTZlY²ZMox_!|[|[dfz%_!~T\+Y goi+\Å_ WlW YM ]Ê]cd!]`_fn6g+Y nÇor_fnmbe Y[\^]`_!]lbedT\g1Y[ZDi1]li W YMZQ|[bUTYMneneYMZ@] W _f\1Zlz%_ W Y[\^]cYM Z TnmY?]li+jYBg+be~fY[ZF]lbm YMX ]`_!\]DY W Y?X YM]Qg1Y[ZQd W ~^_f\+YMZ bm]c_fi YJX ]`_f\^]/g%_!\+Z/nÇobe\+|[_fz%_f|Mbm] YX g+YdT\+|J]cbedf\+\+Y W g%_f\+Z/i+\;Y[\^b W dT\+\+YMYM\^]g1b - Y X W YM\^]g1Y|[Y[nmi+bTg+Yne_ %_fi]cY}Y W[S ! nenmY[ZTdf\])g+dT\1|}_fbm~ W b W YM] WYMX g+i+b W Y ZlYM\+Zlbmj+neYMYM\]?YM\]`_!benenmYg+i W _f\^])neY[i W be~ W _!]lbedT\ O e ` ^ ` ^ ~K| ajg !$+(# ![" Y' * 6/Y @ C #$ W Q$9w $ -/*0"R (# 1,*0;$+W $ 1,* 6 Y @ C F$ W Q$9w .$ U &e `
(50) ^ ` ~ `gh 1,<* S!$ @ s ; nqkXm 6 *0" $9 < p@ Bp > *;utAa'*00$9W $ 1,$ C $9*0$+: @ .QLEF!6*;6 *0$95*060$ 6 *0")#UF^$ 6 Y @DC 0$#W Q$9w $5$+:<*060$ *060")0$&W E C Y,:!")(); S".-/*0$&10$Q!F$ QLE;#: v @ . QLE<D 6/A*060$ EA$+W !"#,1,$Q1,$ V$+")(#()$Q$9*060$ EA$+W !"#,1,$Q1,$ :<; Q QL$+")( U w2.
(51) ¡ µ
(52) ¦ ¥±f¨ª¦ «K¬º¬!{«
(53) °/¥¦®°¯± 2±^ºK¥ ®@¥ 2«K¥h®@¥²º5³ ©%§!°«Kºpº¥ TY W Z'nÇor_fdf\]sg+Y n¼_ W bUbÇY» W Y S/ oY -{YM]'g1\%_f bei+Y g+Y[Z'|[dTi W _f\^]cZ'g+Y_ WY[X Y |[dT\ i1~Ti Y X _h» i+\#] W YM» Z d W ]g YMX TYMnedTz1z{YMYM\]g+YMZ|MY[nenmi+neYMZdTnmK_!|M]cbUTYMZ QzY W YJ]l]`_!\] ne_ g YMX ]cYM|M]lbedT\ g+Y[Z Y_fi g+dTi+|MY[Z g+Y W bUbÇY» W Y'|`+_ W ~ YMX Y[ZHYM\²nebmdf\+ZÍYM]yY[\²z+ Y X W dfdT\1Y[ZygÈox_fg1i+nm]lY[Z6_f\+~Ti+bmnenmY[Z +fdT\^]_f Y[\1Y W nmY[Z}|[bUTY[nmneYMZ _» ZlYsg+b W be~TY W _» z W d be bm] YHX g+YMZ}YMZF]li%_fb W Y[ Z È¿dTn¼_ .- )'0/ ^É pS _' be~ W _!]cbmdT\g+Yyne_s Y W fY W Zn¼_ W bmbÇY» W Y YMZF]Bi%_!neb Y[X Y}gox_!\%_fg W dTY S orYMZF]ci+_fb W Yyg+Y}n¼_ W bUbÇY» W Y qyg1dTi W |[df YÍ]cdTi+Z)|[YMi g1Yyn¼_K _ |[
(54) _fg+YH_a]cn¼_!\]lbei+Y Y[Z5]BZFdTi+ beZ_'» g+YMi z1 Y[X \+dfhYM» \+Y[ Z 1n¼_;_ WYMX Y g1\%_f bei+Ygoi+\+YÊz%_ W ]½YJ]½n¼_k_ WY[X YZc_fnmbe\+Y gor_fi1] W Y z%_ W ] S Y z W Y[ beY W ZlY|_ W _f|M] Y X W bmZlY z+_ W ne_ z W dTz%_f~^_a]cbedf\ goi+\+YhdT\+g+Yhz+^Zlbei+Y g%_f\+ZneYk|[dTi W ZgoY_!i¯Zli+bUb6goi+\_!z+z{d W ]gorY[_fi¯g%_!\+Zne_ W bUbÇY» W Yz%_ W _ WYMX Ydf\]c_f\^]cY S ¿bneYg YMX j+bm];g1Y ne_ W bmbÇY» W YYMZF];K_fbmj+neY½YJ]sneY½|MdY |MbeYM\]'g+Y_ WYMX Y _fZFZlY 7 Y[X neYJ Y X 4dT\²_!ZlZlbmZF]lY>_fnmd W Z½_ » i+\+Y> dT\^] YMX Y'g1i \+bUTY_!i²g+Y[Z}Y_!i hYM]_» nÇobe\^fY W ZFbedT\kg+i²ZFY[\+Z6g+i |[dfi W _f\^]6i+b/Y[ZF]}g+b W bm~ YX gor_ª!_fnfY W ZynÇor_f dT\^] S \k W dT\^] f_ W b¼_!j+neYg+Y;_ WYMX Y;g1\%_f bei+YsZlYs| WYMX Y _fnmd W Z_Ï» nÇoY[\+g W dTbU];d/i#» nmY[Z'_f|M]lbedT\1Zg+iGg YMX j+bm]sg+Y n¼_ W bmbÇY» W YYM]'g+Y n¼_Ê_ WYMX Y ZFY|MdT z{YM\+ZlYM\] S \ z W d|MY[ZlZFi+Zbe\^fY W ZFYZlY½z W dg+i+bm]6ned W Zyg1Y½n¼_ _ WY[X Y'g+Y[ZF|[Y[\1g%_f\^]cYd2i²» nmY'ZFY[\+Zg1i |[dTi W _f\^]HYJ]g+Y½ne_ _ WYMX YZldT\^] beg1Y[\^]cbmi1Y[ZÍYM]}|MdTz1n Y[X Y[\^]c_fb W Y[Z S __ WY[X YHZl_fnebm\+YHi%_f\^]_½» Y[nmneY WY[X ZFi+nm]lYY[\ÏK_fbm]g+Y |[YJ]Í_fz1z{d W ]BgoY_!i Zc_fn Y[X Y6g%_f\+Z)n¼_ W bmbÇY» W Y S ! nmneY}ZlYHz W dg+i+bm]]ldTi dTi W ZB_fz W Y[» Z)n¼_s_ WY[X Y}g1\%_f bei+Y S Y hYM YÍi1\ W dT\^]g+Y Zc_fnmbe\+bU] YBX ZFY6| WY[X Y½_;» n¼_y W dT\^]cbÇY» W Y Y[\^] W Y}nÇoY_fiZc_!n Y[X Y YM\] W _f\^]lY}YJ]?nÇoY_fi g+dTi+|MY g+Y;n¼_ W bmbÇY» W Y S YÊnebei+bmg+Y z+^ZlbmdTnedf~Tbei+Y g1i |Md W z1Z g1Y[Zn¼_ W TYMZneY[z]cd| Y[X z1%_fneYMZY[Z5]gori1\+YÏg+Y[\+ZFbm] YkX z W d|`+Y g+Y#|[YMneneY g1YnporY[_fi.g1Y# Y W i+b;Y[Z5] z1nei+ZÏg+YM\+ZlYi1YnporY[_fi.g1dTi+|[Y S \Åz W d|[YMZlZli1Z neYM\^]hgÈordTZ7À d WYMX ~Ti+n¼_a]cbedf\ $
(55) gY[» ZneYyg Y[X j+i1]Bg+YHn¼_'bm~ W _!]lbedT\ TZlY YM]Y[\Êz+ne_f|[Y6z{dTi W zY W YM]F] W Y_fi |[bUTY[nmneYMZ ] W _f\+ZFz%_ W YM\^]cY[Z6g+Y;z{Y W g W Y;neYZlYMn/|[dT\^]cYM\i g%_f\1Z}nmY[i W YMX ]c_fj{dfnebeZFY6Y[\Ïi+Y'gÈox_f|Mi Y X W b W i+\+Y;g+YM\À ZlbU] YÍX z W d|`1YÍg+YÍ|[YMneneYg+Y nÇoY_fig+dfi+|[YÍg+Y ne_ W bUbÇY» W Y S^Ì YJ]l]lY}dfZl d WYMX ~Ti+n¼_a]cbedf\>Z[o Y -{Y[|J]ci+Y}z%_ W z+_fnebmY W Z Zli1|[|[YMZlZFbmZH_!ik|MdTi W Z}g1Ysne_bm~ W _!]lbedT\g%_f\+Z ne_ 7MdT\+Y;Zldfi+bmZlY_» nÇobe\ ,%i+Y[\1|[Y;g+Y;n¼__ WYMX YZc_fnmbe\+Y S _f\+ZnmYj+i1]gÈo YMX |[dT\+dfbmZlY W neYB_ be½i1gÈo YMX \+Y W ~TbeY TneYMZQ|[bUTY[nmneYMZQ\+YÍZ[or_fnmbe Y[\^]`_f\^]Dz%_f Z !n¼_H bUÀ ~ W _!]cbmdT\½TY W Z?nÇor_fdf\]Qg+Y n¼_ W bUbÇY» W YÍZ[o Y -{Y[|M]li+Y}Y[\ i1]cbmnebeZl_f\^]nÇobe\ ,%i+Y[\1|[Y g+Y n¼_H_ WYMX YÍg1\%_f bei+Y Y[nmneY6Y[ZF] g1dT\+|Hz%_!ZlZlbUTY ! nebeY6YM] d|`+_ W g Ð p6S Y[» Zi1YneYy|MdTi W _f\^] Y[ZF] zd W ]cY[i W TY W ZÍnÇor_f dT\^] neYMZ |[bUTYMneneYMZ;ZlY WY[X z+_ W ]lbeZlZFY[\^]½g+_f\+Zsn¼_Ê|[dTnmdT\+\+YgoY_!i @_ªT_f\^]½i+\1Yg+YM\+ZlbU] Y X z+nei1Z;K_!bej+nmYi1Y|MY[nenmYg+Y nÇoY_!ihg+Y'n¼_ W bUbÇY» W Y %Y[\hY[ZFZc_^_f\^];g+Y;] W dTi1fY W ne_fY[bm\+Y'g1Y>|[dfi W _f\^]6n¼_z+nei1Z6zd W ]lY[i+ZFY S ¿b/neY;ZlYM\+Z g+iÏ|[dfi W _f\^]Íg1YMbeYM\]}g YJX K_Td W _fj+neYÃKY[nmneYMZBz{YMi1TYM\^]6nmi1]l]lY W |MdT\^] W Yg+Y[ZÍ|MdT\^] W Y À |MdTi W _!\]lZ g+YHK_fbej1neY[Z _f z+nebU]ci+g1Y[ZBg+YsnÇod W g W Yg+Y 21Sr _ » 21SxÉ Z 6$ ! nebmYYM] d|`%_ W g Ð ¼Æ Y[nenmY[ZÍZFY W YMi+~fbeY[\^]}neYz1nei+Z W _vÀ T c bdc#` D 6;O: Y $9! 1,* :!(#VJ 6/Q1^2 *06;$ :!(#*,!"#6 1,"#()*A$9W $ V$9D:'*060$L:<()*,")6 @ 6 @ $96/!0$9W $ *MZV$9D:5132 *060$ QLF$ Q 060$ 1,")!$ EF$9r QL:0$+W ()$ @ !"#V;$ U , . . . . . . . . . . . wR. .
(56) ¡ µ
(57) ¦ ¥±f¨ª¦ «K¬º¬!{«
(58) °/¥¦®°¯± 2±^ºK¥ ®@¥ 2«K¥h®@¥²º5³ ©%§!°«Kºpº¥ z+bmg+Y[ Y[\^]BzdTZFZlbej1neYYM\ÊZlYHne_fbeZFZc_f\^]?]cdT½jY W _fidf\+g g+YHne_ W bmbÇY» W Y | Ì neY[_ªfYYM];nmY[| \+Y W wa pS VW YM» Z'g+i#dT\+g#Y[nmneY[Zg1dTbmfY[\^]'] W dTiTY W i+\+Yi%_fnmbm] YX ~ W _f\i+nmdT YMX ] W bei+Yg+iZli+j1ZF] W _!]sg+iGnmbm]g1Yne_ W bUbÇY» W Y?K_fd W _fj1neY_6» neYMi W Y[\1dTi1beZlZFY[ Y[\^] a\+b^] W dTz>K_fbmj+neY\1b] W dTz'be z{d W ]`_f\^]lY SaÎ \½_fZFZlbmZF]cY_fned W Z_fi z+ YMX \+dThY[» \+Y>g+Y " &q- 2H #
(59) 9"H " )" ¾neYMZybe\1g+bmbeg1i+Z ZlY W Y[~ W dTi+z%_f\^]yZli W g+Y[ZHz+_ W |MY[nenmY[Z6_^_f\^] neYMZjdT\+Z | W bm]Y» W YMZ~ W _f\i+nmdT YJX ] W bei+Y[Z S d W Z g+Y |MYM]F]cY W Y[|`1Y W |`1Y g+Yhne_ 7MdT\+YkgoY[\1dTi1beZlZFY[ Y[\^] K_Td W _fj+nmY +bmnz{YMi1]6_ WlW bmfY W i+YsneY[ZÍ|MbmfY[nenmY[Z WY[X ~ W Y[ZlZFY[\^]Hg+_f\+Z neYMi W bm~ W _a]cbedf\TY W Z}nÇor_fdf\] S orbm\]lY[\+ZFbm] YX g+iÏ|[dTi W _f\^]ÍY[Z5]}g+dT\+|i+\Êg1Y[ZÍK_f|M]lY[i W ZÍg YMX ]lY W bm\%_f\^]cZBg+_f\+ZÍn¼_½ be~ W _!]lbedT\ nedT\1~TbUÀ ]ci1g+be\%_!neYHg+YMZ6|MbmfY[nenmY[ZBfY W Z}nÇor_f dT\^] S Y[Z}|[bmfY[nmneY[Z YJX ]`_f\^]6nei+|Mbmi+~TYM Z +nporbm\^]cY[\1Zlbm] Y;X nei+ be\+YMi+ZlYg+_f\+Z}n¼_|[dTnmdT\+\+Y;goY_!i Y[Z5]yi1\kK_f|J]cYMi W be\ ,%i+Y[\ |
(60) _f\^]}neYMi W WY[X z+_ W ]lbm]cbmdT\ÊZli W ne_½TY W ]cbm|_fnmY S q6iÀ g+YMZlZFi+Zygoi+\+Ys|[Y W ]c_fbe\+YH!_fnmY[i W ZFY[i+bmn2g+YsnÇobe\À ]cYM\+ZlbU] Y;X nei1bm\+Y[i+ZFYHg%_f\1Z}ne_½|[dTnmdT\+\+YgÈorY[_fi %neYMZÍ|[bUTY[nmneYMZBTdT\^] W YMZF]cY W z W YM» Z6g+iÊdT\1gkg1Ysne_ W bUbÇY» W Y dTiZli W n¼_Ê] W _!\+|`+Y goY_!ibe\1 Y X W bmY[i W YK_fd W _fj1neY /zdTi1!_f\^]½ be~ W Y W ZFi W nmY df\+gfY W Z>nÇor_fdf\]sZFb nÇobe\^]lY[\+ZFbm] Y}X g+i |MdTi W _f\^]BY[Z5]BK_Td W _fj+nmY g+Y Ì _fZl_f_ d W .-)'0/ ÇS orbm\]lY[\+ZFbm] YyX nei1bm\+Y[i+ZFY6g+_f\+ZBne_ |[dfnedT\+\1YHgoY_fikg Y[X zY[\1ghg+Yz1nei+ZFbeY[i W ZBK_f|J]cY[i W Z S ! nmneYHg Y[X zY[\+gÏ]cdTi] gox_!j{d W gÊg+YnÇobe\^]lY[\+ZFbm] YyX nei+ bUÀ \+YMi+ZlY _» n¼_>ZFi W K_!|[Y;i+bY[nmneY À hY[ Y6YMZF]}be\ ,+i+Y[\+| Y[X Y;z%_ W n¼_½\ YMX j+i+nedfZlbm] YHX YM] nmYH|M|MneYnei1\%_fb W Y S1Ì YM]F]cY be\^]lY[\+ZFbm] YX nmi+bm\+Y[i1ZlY½!_kg Y[X | W dam] W YY zdT\+YM\]lbeYMneneYMYM\^]s_fi#i W YJ]Ê_k» Y[ZFi W Yi+Y nÇodT\ZMox_!z+z W daÀ |`+Y W _Êg+i dT\+g g+Yne_ W bUbÇY» W Y SÈÌ Yz+ Y[X \1dThYM» \+YY[Z5];gi² z W be\+|Mbez%_fnmY[ Y[\^]_ » ne_]ci W j+bmg+bm] Y>X g+YnporY[_fi i+b_!j+Zld W j{YÃKzdTi W neY[ZZli+j+Z5]`_f\1|[Y[ZÍg1beZlZFdTi1]lY[Z Æ YM]Íg+*b -Èi1ZlYÃz{dfi W nmY[ZZFi+j+Z5]`_f\+|MY[Z Y[\Zli+ZFz{YM\+ZlbmdT\ Æ n¼_½nmi+ bÇY» W YHg%_f\1Z ]ldTi1]lYsne_½|[dTnmdT\+\+Y;goY_!i S V YJ]cbm]_» zYM]cbU]neYMZ?|MbmfY[nenmY[ZQfdT\^]B_fbm\+Zlb1bm~ W Y W z%_fZFZlbmfY[ Y[\^])g%_f\+Zn¼_ W bmbÇY» W Y S qÅnpox_!_fn+g1i W dT\^] g+Y'Zc_fnmbe\+bU] YX Y[nmneYMZ}fdT\^]ZF]c_fj+i+nmY W g%_f\+Z6nÇor_!]l]lY[\^]cYsgor_f|`+YMfY W nmY[i W Z6] W _f\+Z5d W _!]cbmdT\+ZÍbm\]lY W \+Y[Z S _ YMX ]`_!d W z++dTZFY \%_fnmY Y[ZF]?g YMX |[nmY[\+|` YMX Yynmd W ZFi1Y}ne_H]cY[ z Y X W _!]li W Y g+Y n¼_ W bmbÇY» W Y _!]F]cY[bm\^])i1\+YÍf_!neY[i W ZlYMi+ben?Ã Ð % À Rvw % Æ S ! nmneYZMox_f|M|[dT z%_f~f\+Y'g1Ysnpordfi1TY W ]ci W Ysg+ih]li+j{Y;g+bm~TY[Z5]cbUDYJ]6g1i g YJX TY[nmdTz+zY[ Y[\^]6g+Y n¼_ TYMZlZlbmYÍ~^_ 7MY[i+ZFYsÃKZF]c_fg+YÁ 3/q ^Æ S @dTi+Z|MY[Z YMX n Y[X Y[\^]lZ WYMX i+\+beZdT\^]Qi+YÍneYMZD|MbmTYMnenmY[ZfdT\^]_f|Mi Y X W b W i+\+Y;\%_!~TY;_f|M]lbmfYsYJ]}i1]cbmnebeZFY W _fiÏbmY[i +~ W _f |[Y _» neYMi W TYMZlZFbeYs~^_ 7[YMi+ZlY;YJ]6i1\+Y;g+Y[\+ZFbm] YsX z W d|`+Y;g+Y |[YMnenmYsg1Y>nÇoY_!i g+dTi1|[Y>g1Y>n¼_ W bUbÇY» W Y %nmY[Zy|MdTi W _f\^]cZyYJ]ynporbm\ ,%i+YM\+|[Y'g+Ysn¼__ WY[X Y;g1\%_f bei+Y'z{dTi W z W dT~ W YMZlZFY W Y[\1|[d W YBz+nei1ZDY[\_!dT\^]Dg+YBn¼_ W bUbÇY» W Y SfÎ \_!ZlZlbmZF]lYÍ_fned W ZÍ_H» n¼_}d W _!]cbmdT\'g1YB|[d W g+dT\+ZDg+Y |[bUTYMneneYMZ S% oi+nm]lbe Y YMX ]c_fzYsYMZF]6n¼_½z+bm~T Y[\^]`_!]lbedT1\ $< ]ldf]`_!neYHg+Y;ne_|MbmfY[nenmYi+b/_f_!bm] YMX ] Y;X z W dT~ W Y[ZFZlbUTY ]cdfi1]6_fi nmdT\+~g+Ysn¼_bm~ W _a]cbedf\Êbe\ ,%i1Y[\+| Y[X Y>z+_ W n¼_½]cYMz Y X W _!]li W Ysg+YsnÇoY_fi S q |MY'Z5]`_fg+Ysn¼_|MbmTYMnenmY __f|`+YJ Y'X Zc_ YMX ]`_!d W z++dTZFYY[\h_f\+~Ti1benenmYM]F]cY dgYM» neY WY[X g+i+bU] g+Y;n¼_½i1]li W Ys_f\+~fi+benmneYH_!g+i+nm]lY S \ LE0" S.QL$+6DJ")6 EF$9r QL$1,$ 1 $9W !$+ QL"#60$9A(#$+:1," 5$9W $96/:A:<1,$+:R1,$ V "#$ 1,$ (# @ ")V$9(#();$ U , . . . . . . . . . wTw. . .
(61) ¡ m´ ¬2®/¥¦®/¥ ¥ ±, /¥. , . . : 6 8 A&-@ 01H-&H"%$
(62) J-/((+37$H-@E5E5-. O
(63) FO _h|[bUTYMneneYYMZF]½i1\_fnmYMbe\ S/ _ Ì dT>i+\%_fi1] Y X ! i W dTz YMX Y[\+\1Y be\^]cY W g+bU];]cdTi1]lYzY[ |`+Y gÈox_fnmYMbe\1Z YM] g+df\+|hg1Yh|MbmTYMnenmY[Z S q npor+YMi W Yk_f|J]ci+YMnenmYkne_ z2Y[ |`+Y _#» ne_ |[bmfY[nmneYÊY[\ W _f\+|MYÏZlYkz{Y W z YJX ]ci+Y)z%_ W g Y X W dT~^_a]cbedf\ 1|MdT Yi+\+Y;zYM |`+Y'] W _fg1bm]cbmdT\+\+YMnenmY6YJ]y_!\+|[YMZF] W _fneY S ¿i W nporq6g+dTi W nmY[Z'z2Y[ |`+YMi W ZzY[ |`+YM\] ne_h|[bUTYMneneY _ » npox_fbmg+Y gori1\]`_f beZ $ Zldfbm]½zdTi+ZFZ Y X g1Y[z+i+bmZ neYÊj+_!]cY[_fi ZFdTbm]]lY[\i _#» ne_²_fbm\z%_ W neYMZzY[ |`1Y[i W Z#_ » z+beYMg+ZZli W nmY[Zj{Y W ~TYMZ S)Ì oY[ZF] i+\1YhzYM |`+Y z W _!]cbmi Y[X Yi+\+bmi+Y[ Y[\^] Y[\ÏZFi W K_f|MY;g+i W _!\] i1\+Y;z Y X W bedg+YHg YMX nebe bm] Y[X Y6_fg+ be\+bmZF] W _!]lbmTYMYM\^] $+ S+ YMZ zYM |`+Y[i W ZDne_Bz W _!]lbei+YM\]@i+\1bei+Y[ Y[\^]@g+i W _f\^]Dne_B\i+bm]/YJ]ZFdTi+Z@g+Y[Z/|MdT\+g+bU]cbedf\+Z2Y[\^b W dT\+\+YMYM\]c_fneYMZ K_Td W _fj+nmY[Z;¾+nei1\+Y;\+dTb W Y +_ WY[X Y dT\^]`_f\^]cY SmSUS. . 3+3. Sx )!. !- H ). & % !&(' &. . . '. . %. . . 2. . )" . ' . %. ;/6+. . %. #-,.. . 10 1.. O
(64) - H$}8-8I-/ 0 H+3FE5E7$HC? Y[Zg1dT\+\ YMX Y[Z i+b}dT\^] df]lbm YÏX |[Yh] W _!_fbenÍdf\] YMX ] Y X W Y[|[i1Y[benmnebmY[Zz%_ W neYMZ Y[½j W Y[Z g+i 5 q be z+ne_f\^] YX _ » bmg%_ W ]'Ã V WY[X \ YMX Y[Z6qB]cn¼_!\]lbei+YMZ ÆJS `+P a5a5$*;U & ]5QJV$w $#!Q $+0:A1,$&$ *10"#.QQ$KMw ! $ D: wf.
(65) ¡ m´ ¬2®/¥¦®/¥ ¥ ±, /¥ Y[Z}z WYMX nÇYM» fY[ Y[\^]cZ}Z[oY -{Y[|J]ci+YM\^]_» nÇor_fbeg1YHg+Y;g+Y[ikY[½j%_ W |_a]cbedf\+ZÍd!]cd W beZ YMX Y[Zsà ~Ti W Y#3+3 SufÆJS. , . S u2 3 %& 8 ) )d- & " .-% )d- H & ' %i- &(' & 2H /+ % -,. 10 1. W dTbeZ²] W _f\1ZlY[|J]cZ i+\Zli W |`%_!i1Y W bmfYYM] i+\_fi benebmY[i.g+YnÇoY[Z5]ci%_fb W Yyg YJX ]cY W bm\+Y[\^] ne_ WYMX z%_ W ]cbm]lbedT\] W _f\1ZFTY W Zl_fneYÏg+YMZbm\+g+bmbmg+i+Z½YM\ ZFi W K_f|MYÏYM]_fi dT\+g S _ 7[df\+YÏgo YMX |`%_f\^]cbmnenmdT\+\%_f~fY ZlY;ZFbm]ci1YY[\h_ª!_fnÈg+YnÇo enmYyg+Y Y W Y[\_ » Rª g+YnÇoY[½jdTi+|`i W Y;g+i W _!\]}g+YMZ |[dT\+g1bm]cbmdT\+ZB^g W d!À |[nmbe_!]cbmi+Y[ZB!_ W b Y[X YMZ}_fi |MdTi W Z}g+Ysn¼_Zc_!beZldf\hg+YszYM |`+Y SÌ %_fi+Y'] W _f\1ZlY[|J]yg1i W Y É \4neY|[_fz YJ] n¼_>bU]cY[ZFZlY;Zldf\] |MdT\+Z5]`_f\^]cZ>Ã] W _f\1ZlY[|J] z%_ W _fnenÇY[» neY_» nÇor_ YHg+i ,%Y[i1fY _» i1\+YbU]cYMZlZlY;g+Ynpord W g W YHg+Y w \+dY[i+g1Z ÆJS Y[Z z WY[X nÇYM» fY[ Y[\^]cZhY[\ZFi W K_!|[Y#ZldT\^] WYX _fnmbeZ Y[X ZÏg+Y[z1i+beZki+\j+_!]cY[_fi.g1Y Ë YMX i+bez Y#X goi+\ df]cYMi W g+Y É 2 Ì Á S 3 n_fj W bm]lY²nÇor_fz+z+_ W YMbenene_f~TY Y[X nmY[|J] W df\+bei+Y Ãd W g+bm\%_!]lY[i W Z z{d W ]`_!j+neYM Z V ¿ SUSmSxÆ zY W YM]F]`_f\^]ne_²|[dTnmneY[|J]cYÊg+YMZz%_ W _!hYJ» ] W YMZY[\^b W dT\+\+YMYM\]c_fi |[_ W _f|J] Y X W beZl_f\^]neYMZ |[_fz1]li W YMZ S Y ]`_!bmZ}YMZF]ybe Y W ~ YX g+YMz+i+bmZ6nmY'j%_a]cY_!i _» npox_!beg+Y;goi+\ ] W Y[i1ben S 3 n/ZMox_f~fbm]}goi+\ ]`_!bmZ}|Mb W |[i+ne_fb W Yg+Y 2 Ð g+YÏg+be_fhYJ» ] W Y SQ _ z W dfdT\+g+YMi W g+i ]`_f beZ>Y[ZF]g1Y SQ _ z{d|`+Yk_fbe\1Zlbd W YMX YÊ_ i+\ _fbenmn¼_f~TY}|_ WlWY;X g+Y R g+Y;|[d!] Y X S 3 n2ZFY;z{dTZFbm]lbedT\+\1YZli W neYj@_f j{d W gÏg+ikj%_!]cY[_fi S V dTi W nmY[Zz WY[X nÇYM» TYMYM\^]cZsY[\ z W d!dT\+g+YMi W i+\ j%_!]cY[_fi#z+\+Y[i1_!]lbei+Yg+Y g1YnedT\+~ {] W _f|M] Y X z%_ W nmYj%_!]lY_fi z W be\+|Mbez%_f!n {zY W YJ];nÇobe Y W ZFbedT\hgori1\g+YMi bÇYM» Y]`_!bmZ SÈÌ Y[nei1bUÀ |Mb {g+Y 2 Ð g+Y g+be_fhYJ» ] W Y _fZFZli W Y neYÏz WY[X nÇYM» TYMYM\^] g+YMZbe\1g+bmbeg1i+ZY[\¯z W dfdT\1g+Y[i WMS 3 n}YMZF]Y[ _f\1|` YhX YJ]]lY[\i _²» n¼_k_!be\Gg1Y[z+i+bmZneYz+\+Y[i1_!]lbei+Y S 3 nzY[i]kYM ] W Y be Y W ~ Y X i+ZFio_ » u g+Y z W dfdT\1g+Y[i WMS _ z W dfdT\+g+YMi W g+i]c_f beZsY[ZF]½g+Y SD Y |dT \+YÊ_fbm\+Zlbd W YX _²i+\_fbenmn¼_f~fY|_ WFWY X g+Y R w! . 3+3. . . . . . . . . . . . . .
(66) ¡ m´ ¬2®/¥¦®/¥ ¥ ±, /¥ _Ê» nÇoY[\^] WY[X Yg+i nmYM];YJ];g+Y R _fi dT\+g S \+YZldf\+g+YYMZli W Yn¼_]lY[ z Y X W _!]ci W Yne_ Zc_fnmbe\+bU] YX {ne_ ]ci W j+bmg+bm] Y?X YJ]Qne_ bm]lY[ZFZlYg1i ,Ddf ]Y[\½z W dfdT\1g+Y[i WMS ! nmneYZlY)Zlbm]li+Y_6» nÇoY[\^] WY[X Y)g+i nmYM]@YM]D|_ W _f|M] Y X W beZlY)neYMZ |[df\+g+bm]lbedT\1ZHg+i bmnebmY[i²_!i dT Y[\^]g1Y[Z;|_fz]ci W Y[Z S/ oY[\+~fbe\ g+YzYM |`+Y Y[ZF];bm Y W ~ YkX _Ê» ne__!be\ neYkz+nmi+Zz W Y[» Zz{dTZFZlbmj+neYkg+i df\+g¯Y[\ dT\+|M]lbedT\ g+Yhn¼_#]ldTzdT~ W _!z++beYÏg+i Zlbm]lY S? _ZFdT\+g+Y²bm\+g+bmi1Y X z WYMX neYM YMX Y[Z S Y 1_f|J]cYMYM\]6g%_f\1Z}i+YMnenmYH] W _!\+|`+YsgorY[_fikneY[ZÍ|MbmfY[nenmY[ZÍdT\^] YMX ] Y; Y[Z}g+be Y[\+ZFbedT\1Z}g1ih]`_!bmZBi1]cbmnebmZ YX z%_ W nmY[Z z W d!Y[ZlZFbedT\1\+Y[nmZ6ZFdT\^]yz W d|`1Y[Z}g+Y'|MY[nmneY[Z g+ik]`_f beZ i1]lbenebmZ Y X zdTi W |MY[ZBz WY[X nÇYM» fY[ Y[\^]c Z +_!beZ?z{dTi W neYMZ)z W dfYMZlZlbmdT\+\+YMne Z 1n¼_sz W d!dT\+g+YMi W YMZF]Ínmbe bm] YMX Y>_ » R S Y}zdTZFbm]cbmdT\+\+YMYM\^]g+ij+_!]cY[_fiYMZF]_fZlZFi WY}X z%_ W i1\ V ¿g+YÍ] zYX yÉfËTwTÉ Y[X i+bez Y}X gÈori+\1Yy_f\À ]cYM\+\+Y;g+Y|Md WlW Y[|M]lbedT\Ïg+*b - Y X W YM\]lbeYMneneY6g%_f\+ZÍne_½j%_f\+g1Y YM] ÅÃdªTYM\+\+Y;YM] +_fi1]cYH WY[X i+YM\+|[Y ÆJS \1Yj%_fnebmZlY6z{Y W YM]Íg+YH] W _fbU]cY W neYMZB|[d WFW YM|M]cbmdT\+Z W Y |M
(67) i+Y[Z g%_f\1ZÍn¼_½j%_f\1g+Yg+Y[ZÍdf\+g+Y[Z w! 6S ! neneY _fi+~fYM\]lY'ne_z WYMX |[beZFbedT\kZli W neY;zdTZlbU]cbmdT\+\+YMYM\]'ÃY[\^] W Y 2 É _ » R Æ ~ W _f |[YÊ_ » ne_ WY[X |MY[z1]lbedT\kgoi+\+Y ZF]c_!]cbmdT\ g1Y WYJX Y X W YM\+|[Y _#» ]cY WFW Yhg+Y[Z ZFY W bm|[YMZÊ_ W bm]lbe Y[Zg+Y²ne_ b W Y[|J]cbmdT\ hXYMz%_ W ]lY[ Y[\^]`_!neYkg+Y nÇo ! i+bezY[ Y[\^] S+Ì YM]F]cY;ZF]c_!]cbmdT\ÊZlYnmd|[_fnebmZlY_» nporYM½jdTi+|`i W Yg1YnÇoY[ZF]li%_fb W YHg+Ynporq6g+dTi WMS+ _j%_fnmbeZlY Y[Z5]Hbm\+g+beZFz{YM\+Zc_!j+neYsz{dfi W ] W _!_fbenmneY W Y[\²YMZF]ci+_fb W Y>|_ W neYMZ6df\+g+Y[Z YJ] ZldT\^] W Y |M
Documents relatifs