Additive Symmetric: the Non-Negative Case
17
0
0
Texte intégral
(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. Additive symmetric: the non-negative case Marc Daumas, CNRS Philippe Langlois, INRIA. No 4115 F´evrier 2001. ISSN 0249-6399. ISRN INRIA/RR--4115--FR+ENG. ` THEME 2. apport de recherche.
(3)
(4)
(5) !"
(6) #$ &%
(7) '(
(8) )*'+ , -/.1032-/456-/798;:=<>? @(ABDCEBDFF;GIHJ-/KLMCDNMBE798 O<>O P QSRUTWV=X+Y
(9) Z\[^]`_UabX(cedgfhaeiWabX`c XWjkiWlmcnio$cprqsV+t/dgceanuho$X vxwydmz{XWjk|Jwy]W_$lgabwyX }Jlg~U~/dgwj&UX(wX1iRUXWwiRUX_+g$g Z]WswyabX`w&Ygg$JZ1+~lmfgX1p. `WUmh |J_IlgUabjaegX pq9V=V=XjywaniJdm =&abjRwyX`p~X1i jjd=kpyljanpr$X`pJ ¢¡Ek£¤¥¦g§¨©«ªaeprjX`_$iX lm_$¬oU_Uanu9oUXW_UX1pp md «po$iRIlmwyX t$lgpani~$wdh~X`wrjyabX1p*ae_IXªUlgijJlmwyajyRUV=Xjani^jRljS®lmaec&RUX`_I¬lm_$¯lmwyX°dhljyab_$f±~/dgae_9j&_9o$V+t/XWwp&lm_$jR$X idhV=~Uojylmjaedg_dm~/XWw²dgwyV±X1ae_³´©;©x©«µr¶m ±ceab·hX lgwabjR$V±XWjanim¨¸¹X^XWªRUabt$ajJlm_¬~UwydgX^idh_$abjaedg_$pdg_¬jRUX XWªsanprjXW_iXgº jR$X(oU_Uanuho$XW_UX1pp&lg_$jRUX(XWªlhi jJidhwwyX`p~/dg_$X`_$iXdm«lm_IlgUUajyabhX pqsV=V±XWjwyaei^&RUX`_3klg_$IkR$lhX^jRUX
(10) pylmV=X(praefg_¨ »¯¼9½M¾¿+À Á h cedhljyab_$fÂ~/dgae_9jklmwyajyRUV=XjanimºlgUabjaegX(pqsV±V=XWjwyaeigºUidgwywyX`i jyabdh_ºs³´©x©x©«µr¶m mÃp{jlm_$Ulgwy¨. nÄ ÅÇÆÈÊÉ`ËSÆ&ÌÍnÈDÎDÏÐ ùú úû$ü²ý Ñýþ Òþ ÓÕÔ×þ$ÿ ÖEØ´Ù`ÖÚÓÕÔ$ÿ ÛWÜÕÔEý ÝÞÛ{ß ÛÓÕÜàÛáÜÕØâÛÔãÛåä®Ø{ÔDØrÛä®æÊÒçä®Ø{ègÝ ä²ÖéÝê ÖEÒØìëÛámÝ äEÛyÖDÝ ÓÕä®ØîíØâÜnï ðòñ1êbÝ ä®óJÛyÖDÓÕôWõØâí1õ÷öUÛäEÛÜÕÜÕø{ÜÕÓÕÔDó&Ø
(11) . Unit´e de recherche INRIA Rhˆone-Alpes 655, avenue de l’Europe, 38330 MONTBONNOT ST MARTIN (France) T´el´ephone : 04 76 61 52 00 - International: +33 4 76 61 52 00 T´el´ecopie : 04 76 61 52 52 - International: +33 4 76 61 52 52.
(12) '
(13) U )'
(14)
(15) ¹"
(16) _pqsV=]jwyanuho$X
(17) lgUabjab; X+¬~$lmwJwlm~$~dhwrjà h]Wwya$X
(18) ^ ס®(£6W¥¦m§U¨ XWªaeprjX`_$iX(XWjkc oU_Uaniabj]± oU_ jX`cJX1p{jSoU_UX ~Uwydg~$wae]jy]^X t$lhprX^XW_IlmwyabjRUV=]jyaeu9oUX^XªUlhi jX u9oUaanpr~lmw l njSu9o$lg_$¬ÃXWjkJpdg_9jJX`p_UdhV+tUwyX`p Â9aewyfgoUceX °$dgjrjylg_9jX+XWj^u9o$lg_$¯ceXÂiWlgceiWoUcXÂ+X`prjX !MX`ijoU]±Ulm_pkoU_$XÂlmwyabjRUV=]jyaeu9oUX±XÂj{q9~/X+³´©;©x©«µr¶m #¨ "kdgo$p~Uwy]`pXW_9jdh_$pJXWj _Udho$pJ~Uwydgo$gdg_pJX`pidh_$abjaedg_$p^pro$wk$c XWªsanprjXW_iXgº/$c oU_$aeiWajy]+Xj^ c ]Wf9lmceajy]+lgX1i cbXÂprqsV=V=]jwyanuho$X+XªUlhi jUlg_$pJceXÂi`lgp&&d % kXjk prdh_9j&UX^V('`V±X
(19) paefg_UXh¨ )¢À ` ¾ & * |JwyabjRUV=]jyaeu9oU+X ±saewfhoUcbX^°$dgjrjlm_9jXhºUprqsV=]jywanu9oUX(lgUabjab{ºiWdgwywX1i jyabdh_ºh_$dgwyV±X ³´©x©;©«µ{¶g ¨.
(20) Â"Ã x"
(21) cedhlmjae_Uf~dhab_9j+lmwyabjRUV=Xjyaei±anp tsq3_$ljyoUwyX±ae_UXWªlhi j ¨=QSRUanp(uho$dmjylmjaedg_ ²wdhV _sojR e ;poUV=V=lgwa WX1pjR$lmj(°$dhlmjae_Uf ~/dgae_hj=lmwyajyRUV=Xjyaei¬dg_Uceq¹lg~U~UwydªabVÃljyX`p(wyX`lgc*lgwabjRUV=XWjanim¨ QSR$X¬anpiWwX`~$lm_$iWabX1p
(22) t/Xj{XWX`_ jRUXlm~U~$wdªaeV=lmjXlg_$¤jR$X XªUlhi j^lgwabjR$V±XWjaniWp lmwyX+_soUV=X`wdho$pklg_$lgwX±oUXÂjdjRUXÂ$_UabjX±~UwyX`ianpabdh_3dm Ǻ«jyRUX=prXWj^dgxjRUX°$d9ljae_Uf~dhab_9j _9o$Vµ t/XWwpW¨3lmaecboUwyX`p
(23) dmS²oU_$UlgV=XW_9jylgc*cnlJp(dmJlgcbfhXWtUwlIlmwyX*X`cbcbµÊ·9_$d&_ ²dhw(°$d9ljae_Uf3~/dgae_9jÂlmwyabjRUV=Xjyaeig¨3Udhw+XªUlgV±~$cbXhº jR$X3lgpyprdianljyabsabj{q dm^jRUX lgUabjaedg_ dgw=jyRUX3VÂoUcjyab~$cbaniWlmjaedg_º*jRUX3i`lm_$iWXWcecelmjaedg_ dgw=jyRUXanp{jywaetUojyabsabj{q cnlJp=lmwyX_$d cedg_UfhXWwSlmceaeae_ ÕY D¨xQ d±dgjRUX`wS²oU_$UlgV=XW_9jylgclªabdhVÃp;²dhw&wX1lmclgcbfhXWtUwl+prjylmjX^jRUX(XWªaeprjX`_$iX(lm_¬jyRUX oU_Uanu9oUXW_UX1pp dmjR$X¬lgUUajyabhXÃab_sgX`wypX¯¡ J¥(lg_$ jRUXVÂoUcbjae~UcbaniWlmjaegXwyX`iWab~$wdiWlgc&¡ ¦g¥²dgw ×lg_$ $¨QSR$X`pXlªabdhVÃp lmcnpdS®lmaechae_ °$dhlmjae_UfJ~/dgae_9j lmwyajyRUV=Xjyaeixlhp~UwydgX1^ab_ slm_$ slm_$ aecbceo$prjwljyXx*X`cbchRUd pro$tjceX«jR$X*anpiWwX`~$lm_iaeX`plgwXh¨ JX`wXk*X^idg_pranXWw;jRUXXªanp{jyXW_$iWXlm_=jRUXoU_Uanu9oUXW_UX1pp*dmlg_ ;ab_jRUX°$dhlmjae_Uf
(24) ~/dgae_9j*_soUV+t/XWw pXj Ǩk|J_¯lhUabjaegX(prqsV=V=Xjywani(Ãdmxk&ajyRwyX`p~/X`i jSjydºUplmjanp{X`p J £6§ &RUX`wX=lg_$ ÃlgwXÃj{d¯fgaegX`_¤°$dhlmjae_Uf3~/dgae_9j+_soUV+t/XWwp
(25) ae_ ¨6QSR$X¬icnlgpypraniÃ_Udgjylmjaedg_ ¡ M¥ wyXW~$wX1prX`_hjp jR$X wydgoU_$UX`¬°$dhlmjae_Uf=~dhab_9j&lmceoUX(dm ¨ k«idhoUwprXhº & §g Y anpjRUX(oU_$aeu9oUX
(26) lhUabjaegX(prqsV=V=Xjywani &RUXWwyX wdhoU_$ae_Uf=l !MX`ijyp&_Udh_UX dmwX`celmjaedg_$p Y lm_$ ¨ XWjlm_$ÃSae_ 3&RUX`_ Ianp;l+prXWjxdmM°$dhlmjae_Uf(~/dgae_hj*_9o$V+t/XWwp &³´©x©;©«µ{¶g +lgwabjR$V±XWjani*Zl
(27) pqsV=V±XWjwyaei&pXj*dm tUae_$lmwyq±°$dhlmjae_Uf+~/dgae_9j_soUVÂtX`wyp*&abjRUXW_UdhwVÃlmcea WX` poUtU_UdhwVÃlmc «_soUVÂtX`wypxZ lm_$òdgw*jRUX wdhoU_$±jdÂjR$X_UX1lmwyX`prj X`gX`_ wdhoU_$ae_Uf=V=dsUXg¨ W ¼ ¼ kdsX`p&lg_¯lgUabjaegX(pqsV±V=XWjwyaei XWªaeprj&&ajyRUab_ ¼ ¼ 1 ³{pjRUX
(28) lhUabjaegX(prqsV=V=Xjywani^oU_Uanuho$X À W ¼ ½ dsX`p&± ºU&RUXWwyX ¡® ¥ ³´_jRUanp~$lm~/XWw1ºs*X lm_$pXWw*jd±jRUX1prXjR$wX`X^u9oUX1p{jyabdh_$p ¬
(29) $¨ *R$d9d9prae_Uf+²dgwSab_p{jlm_$iWX^ lm__Udh_µD_$XWfhlmjaegXhº9X(idh_$pranX`w*jyRUX W¨ Q d¬XWwyaegX(jyRUXÂlg_$prXWwpSjydjR$X`pXÂu9oUX`prjaedg_pWº*XÂab_9jX`w~$wXWjlgUUajyabhX+prqsV=V=Xjywq¯lgplidhwwyX`ijae_UfÃdg~/XWwljydgw1¨ XWj ¯t/X
(30) l+°dhljyab_$f±~/dgae_9jJ_soUV+t/XWw&ae_ ¨ *dgwywX1i jae_Uf ¯&ajyRjyRUX
(31) idhwwyX`ijae_UfÂjXWwyV V=X`lm_p&idgV=~UoUjae_Uf ¡ s¥x ¡ =£ s¥ pq9XWV=j V=ÃXt/jyX(wanlÂi*iWdmdg wy=wX1&i jyababj_UR±f+wjX1X`prw~/V X`ijjyR$jyld jSÇqs¦mab§X`ce&Up RUX`_ Ǧm§ ²wydgVM¨&|kº9fhjlmR$ae_lmjSºm&anp R$ XWwy¡ X*U¥;_Ud^ wydgoU¨x_$QSURUab_Uanp&f il dh!MwX`wyX`iijypjae_U_UX`f(ajyjyRUXWwyXWVwjyRUÃX&aepSidglmV=_~UlgoUUjyUlajyjyababdhh_ X dmjR$X iWdgwywX1i jyab_UfÂjX`wVIºU_$dgwSjR$X
(32) idgwywyX`i jyabdh_ae_wyXWcnljyabdh_ º S anpjRUX oU_Uanu9oUX ÇiWdgwywX1i jae_UfÂjX`wVI¨©«ªaeprjX`_$iXhºUoU_Uanu9oUXW_$X`pyplg_$idg_pranp{jyXW_$iWqÃdm jRUX
(33) lhUabjaegX prqsV=V=Xjwyani^iWdgwywXWµ p~dh_$_Ud jd=jyRUX ²dgceced&ab_UfÂjR$wX`X
(34) uho$X`prjaedg_$p ÂWµÊ+*X(XWªlgV=ab_UX ae_jRUX
(35) pX`u9oUX`cE¨ d9X1pJl=idhwwyX`ijae_Uf
(36) jyXWwyV XWªsanprjJ&ajyRUab_ k³{pjR$X
(37) idgwywyX`i jyab_$f+jyXWwyVÚoU_Uanu9oUX d9X1p ± 1ºU&RUX`wX S ¡ ¥ QSRUX±~$lm~/XWw^anpdhwf9lm_Ua WX1¯lgpk²dgcecbdJp`¨ ¸ X=~UwyX`pXW_9jjRUX±V=dmjaeljyabdh_$p^&ajyR lm_ ab_9jywdo$ijdhwqIXªUlgV±~$cbX±lm_$ idg_Uµ _UX1i jX1 wyX`poUcbjypÂab_ jRUX_UXªsj sX`ijaedg_¨¤¸¹XpoUV=VÃlmwya `XÃjRUX~Uwydg~/XWwjaeX`pÂdm&jyRUXlhUabjaegXprqsV=V=Xjwyaniae_ sX1i jaedg_6 lm_¯XWhdmjX
(38) ²dgcecbd&ae_Uf sX1i jaedg_ÃjdÃjyRUX+~$wdsdm®pSZjyRUX+VÃlmae_¯wyX`poUcjdm«jR$X
(39) ~$lm~/XWwaepkjR$X+pro$V±VÃlgwqIabfhoUwX¬g¨&¸¹X idh_$iceo$X(X1piWwaetUae_UfÃu9oUX`prjaedg_$pjyR$ljJwyXWVÃlgab_dg~/XW_¨ âñ . . . . .
(40) . . . . . . . . . . !#"$" %'&(%')+*-,/. 010*2&43/%65. 7. 98;:=<. B. +C. ?>A@. A. D8;: FE . GEHI KJ. ML. . `ZGX6a. [Z. c. ]Z. X. B. C. . I W_. \. [Z. #C. 'C. B. ]\K^. bZ. B. PORQS.
(41) . UWVYX. B. $C. @. . TC(. B. N. _. T\P^. ed L. fd L g8;:. L _. Khjik*2l. ! l]". -im ) *n&Fik*o,2 0 *n,p%rq#l Ns. l]t lmuvl;*(q[ &(%') *15p+,2*wtxn&Fik*w#"$" %'&(%')+*R,/. 0w0 *2&43/%65. Ed. I Ps. Ed. ey . E 6y. }|. }EH. KEd. PE. 1E. z8;: #Ed. y ;{. ~Ed. E F|. E. |. 1I. B. $C. |$L EEd. @. B. *[$5 &. W. \P^. |. \. \P^. I W_. _. 7|. |$ d L. |$ d L 98;: 6|$L _.
(42) . . . . 2+/. [C. B. S. . bC.
(43) À 1 EÀ ¸ X=o$pXÂjRUX=icnlgpyprani(²dhcbced&ae_Uf¬_Udgjylmjaedg_$p^X_UX`²dgw ¨¸¹X±X`_UdmjyX¡ M¥ ¢oUce~¡ M¥ ºdh_UX+o$_Uaj(ae_ jR$X±cnlgprj ~UcelhiX±dmxjyRUX±°$dhlmjae_Uf~dhab_9j º;lg_$ ¡ 1¥ ºÇdh_UX±oUcb~¹dm*dg_UXh¨XWj é¡ 1¥ § ºÇ&abjR¤l
(44) tUabjypJ²wylhi jaedg_UµD_$lgwq¬~$lmwj ¨*¸¹X
(45) R$lh X ¡ /¥S § ºlm_ ¡"!9¥* º&RUXWwyX anpSjyRUX+pV=lgcbceX`prjk~/dhpajyabhX X`_UdgwyVÃlmcea `X`±°$d9ljae_Uf
(46) ~/dgae_9j_soUVÂtX`w`¨¸¹XkhXWwya²q±jRlj#¡E§%$& M¥x §%$'¡ /¥ºh²dhw Ilm_3¡E§%$( M¥«ae_ ¨JQSRUX³´©x©x©«µ ¶m m¬prjylm_Ulmw3XW$_UX`)p
(47) ¹ § *²dgw prae_UfhcbX±~UwyX`ianpabdh_3lm_$
(48) , +h§=²dhw^dhoUtUceXÂ~$wX1ianpraedg_¨ sae_$iWX anp lUaepyiwyXjyXÂpXj`º X+XW_$dmjX ºjR$X+~UwyX`X1iX1ppdgwJlg_$ -&ºjR$XÂpo$iWiWX`pyprdhw&dm«X`lhi RI°$dhlmjae_Uf~/dgae_hj_9o$V+t/XWw ~Uwyd9anX1 I_UddgX`wr°d diWiWoUwyp`¨¤Udgw /.0!Uº«jyRUX`pX°dhljyab_$f~/dgae_hj±_soUV+t/XWwp+hXWwya²qhº 1¡ /¥y¦m§3&RUXW_ %§ $sº 2¡ /¥ XWcnpXW&RUX`wXhºUlm_$ - =3£ ¡ M¥ ¨ 4 5 "( '( "
(49) ã'
(50) "
(51) &; & & ¸¹Xabceceo$p{jywylmjX=jyRUXV=dmjyabljyabdh_$p(dg*jyRUX¬u9oUX`prjaedg_p µ´&ajyR lm_¤ab_9jywdo$ijdhwq XªUlmV=~UceXlm_$ jyRUXW_ anpyio$pyp(V=dgwyX fgX`_UXWwlmclg~U~Uceaei`ljyabdh_$p&dmjyRUX+lg$ajyabhX
(52) prqsV=V=Xjywanim¨¸ X+XW_$jyRUaepprX1i jyabdh_~$wX1prX`_hjyab_$fidg_$_UX`ijX`wyX`poUcbjypJlgtdhojJjR$X lg$ajyabhX ab_sgX`wypX lm_$jR$X(V+oUcbjae~Uceaei`ljaegX wyX`iWab~UwydiWlgcE¨ X TZ. \. P. oED. P8. L. 6E. FE. . @. S. FE. oE. wE. 6E. n. NE. E. -. RE. E. =E. E. . R. WE. wE. E. L. #{ 8. EH. FE. E. =E. EH. FE. FE. 1. 687:9. ;=<?>:<#@BADCFE(G&H@ICJABKMLONFPRQ,SUTVL. ¸¹X¬~Uwydg~/dhpX=jRUwyXWXpraeV=~UceX~$lmaewp
(53) dmS°$d9ljyab_Uf~dhab_9jÂ_soUVÂtX`wyp¡E W¥^jyR$lj±XªRUaetUajÂjRUXa !/X`wX`_hj±~d9ppaetUcbXiWlgpX`p
(54) dm Xªanp{jyXW_$iWX(lm_$oU_Uanu9oUXW_UX1ppSdgl±idhwwyX`p~dh_$ae_Uf=lgUabjaegX pq9V=V=Xjywanim¨«¸¹X(XW_$dmjXXWUYFZ [lg_lhUabjaegX prqsV=V=Xjwyani dmx&ajyRIwX1pr~/X`ij&jd¨*¸ X(o$pX jR$X
(55) idgwywyX`p~dh_$XW_iX^tXWj{*X`XW_jRUXÂidgwywyX`i jyab_$f+jyXWwyV jyR$ljJqsaeXWcnUp ¯²wydgV º$lg_$ jR$X
(56) lgUabjaegX(pqsV±V=XWjwyaei^dmx& ¯&abjRIwX1pr~/X`ijSjdJ Ǧm§Â&RUX`_ Ǧm§ ¨J¸ X(RlgX =\ W&Y&¡ Ǧm§g¥¨ 3] * ¼ (^`_¼ UÁÁ "a¼ ½ ¼ ` WUYFZ § - ¦mb§ [$¼ W1& Á ¼ «¸¹XSidg_pranXWwjRUXidhwwyX`p~dh_$ae_Uf idhwwyX`ijaedg_(dg I § -jR$lmjwyXjyoUw_p g¨QSRUX*XWªUlgi jidhwwyX`ijae_Uf&jX`wV
(57) ¡ £ ¡D§g¥r¥ÇtX`cbdh_Ufhpjd Ǻpd S 1¨ QSRUX
(58) iWdgwywX1i jae_Uf+jXWwyV kgX`wab$X1p ±£ S jRljkqsaeXWcnUp&jyRUX+XWªs~/X`ijX1¯lmceoUX 3 g¨JQSRUX(j{dÃ_UX`abfhR9t/dgwp&dg ^ae_ lmwyX B- 3;ºMlm_ c*%;¨ ¸¹X(R$lgX ±£ - *d£ lm_ ±£ c e &RUX`wX e anp«jyRUXk~$wX1X`iWX`pyprdhw«dm ¨QSRso$p`ºhjRUX^idgwywyX`i jyX`±lmceoUX`p;dm iWdgwywX1pr~/dg_$Uab_Uf^jyd+idh_$prX1iojyabhXkidhwwyX`ijae_Uf jX`wVÃp&lgwX ¡ ¥x e ¡ ¥x lm_$ ¡ - ¥x QSRUX(V=dg_$dmjdh_Uaniabj{q¬dmjR$X
(59) wdhoU_$ae_UfÃVÃlm~ XW_proUwyX`p&jR$lmj kanp&jyRUX(oU_Uanu9oUX+iWdgwywX1i jae_Uf±jX`wVÚjR$lmjkwyXjo$w_$p ¨ d abjJaep²dhw&jRUX(lhUabjaegX
(60) pq9V=V= Xjywani^dm«k&abjRIwyX`p~X1i jSjdòdgwSjyRUX
(61) idh_$paeX`w X1lmceoU X¡D§ - ¦m§h¥ ¨ ¸¹XÃwX`V=lgw·3jR$lmj ¡ ¥(lg_$ ¡ ¥(lmwyXÃ_Udmj+iWdg_$pX`iWojaegXlg_$ ¡ g¥ f f ¡ ¥¨¸¹XgX`wab²q3jyR$lj
(62) _$d idhwwyX`ijae_Uf
(63) jyXWwyVãXªanp{jp*²dgw lg_$ § -SºdhwpabV=aecelgwceqgºs_UdÃpqsV±V=XWjwyaei^lgUUajyabhXdg& § - &abjRwX1pr~/X`ij*jyd J ¦m§ cb¦ h$¨¸ X
(64) UXjylgabcl=pabV=aecelgwJiWlhprX dm_Udg_UµDXWªsanprjXW_iX ab_jyRUX ²dgcecbd&ae_Uf±XªUlmV=~UceXg¨ 3] * ¼ i^`_ ¼ $Á Á ja¼ ½ ¼ W WUYFZ + ¡ ¦g§gV¥ -k[ Á À¼ À ¼ ` Â}&XWcnljyabdh_ JfhabhX`pJ_$didhwwyX`ijaedg_ dm \ + jyR$ljSwXWjoUwy_$p '-S¨¸ X^R$lgX Fh*l£ Fh*m£ ¡E§h¥¦g§¨ QSR$XkjyabXWµDtUwyX`lg·sab_UfÂp{jywylmjXWfhqÂdgÇjRUX wdhoU_$ jd±jyRUX(_UX`lgwX1p{j XWgX`_ qsabX`ceUp Fh$ºUlm_ ±£ & Xf ¸ abjRjRUX(cnlmwyfgX`wSlgcbo$X B- Fhkn£ ¡D§g¥ º$*X R$lhX_Ud =£ - *3£ ¡E§h¥x -o&RUX`wX '-o- aep
(65) jRUXpro$i`iX1ppdgw(dg ¨3QSRUX¬iWdgwywX1i jyX`¹lmceoUX`p
(66) jR$lmjÂidhwwyX`p~dh_$ jd¯jyRUXÃj{didh_$pX`ioUjaegXidhwwyX`ijae_Uf jX`wVÃp lm_$ B- lgwX ¡ ¥; lm_$ ¡ - ¥x jð p rð q @. @. |. Ed. \. UPV. X. E. X. X. Ed. E. . @. . E. $VYX. w. Z. X. 7E. K|. ZGX6a. |[L. #Ed. @. Ed. E. . T\. . P. |$ d L |$L. |$ d L. Ed. -E. . . Ed. |d L. Ed. E. |[ d L. . |d L. 7. E $|$ d L. zE. @ |$ d L. . zE. E. @. zE. |d L. n7. @ nEd. E #|d L. @. H8;:. n . @. YE. E $| d L. D| d L. zE. {. |[ d L. E. . . E #|d L. E #|[ d L. E. . . E $| d L. . @ E $|$ d L. gEd. P. \. UPV. X. REd. NE. B. TC(. A| d L. X. X. . W| L. H| d L. H. . Z. [VYX. \. . B. [C. . . Ed. |$ d L. |d L. . . E{. . Ed. f|$ d L. @. . . @. E. |d L. E |$ d L. E. @. E #|d L. zE. {. G.
(67) QSRUX1prXÂlgcbo$X`pXW_$iWcbd9prX(jyRUXÂjylmwyfgXWjklmceoUX tUoj _UX`ajyRUXWw(lmwyX
(68) X1uholmc jd ¨^QSR$XWwyX²dgwyX
(69) abj Ud9X1pk_$dmjXWªaeprj^lg_lgUUajyabhX pq9V=V=Xjywani^dmx +Â&ajyRIwX1pr~/X`ij&jdÃJ ¢¡ ¦m§h¥V-¨ 3] * ¼ ^`_¼ $Á Á ja¼ ½ ¼ W W&YFZ [ À ¾ ¼ QSRUanp&iWlgpXkanpcbX1pppoUw~$wanprae_UfÂwX`~URUwlgpX`lhp ²dgcecedJp jRUXkjRUwyXWX^idhwwyX`ijae_Uf jX`wVÃp º lm_ I- wyXjyoUwy_ § ²wdhV g¨«UdhwxjyRUX`pXklmceoUX1pWºhjRUX^XªUlhi j*lg_$ wydgoU_$UX`idgwywyX`i jyab_$f+jyXWwyV=pShXWwya²q h¨¸¹X(R$lhX ±£ S § ±£ - §&n£ lm_ ±£ § c«¦m§ pae_Uf
(70) jyRUXkjyabXWµDt$wX1lm·sab_$f
(71) p{jywylmjXWfhqÂdgÇjRUX wdhoU_$±jR$X_UX1lmwyX`prj X`gX`_ kae_jyRUXJj{d+cnlgprj*X1uholmceajyabX1pWº9*X^idh_$iceo$XkjR$lmj ¡ ¥; ¡ ¥x ¡ - ¥x wE. E. . \. UPV. X. X. X. |d L. . S GX @ |d L. |d L. | L |d L. Z TZ. T\. Ed. . . Ed. |[ d L. Ed. @. |d L. Ed. @. |d L. K. . M{. TC(. B. E $| d L. 687 6. ZGX6a. E. E #|d L. E #|d L. zE{. CR@D> P @D>VCJ<. . QSRUXÂdgwyabfhab_$lgcV=dmjyablmjaedg_¯jydjR$X+jyRUXWdhwXWjaniWlmcprjo$qIdg«jRUX=lgUUajyabhXÂpq9V=V=Xjywani+iWdgV=X`pk²wydgVâjRUX *© "k|×V=XjyRUd ea _hjywdoiX`tsq¬dh_UX dmjyRUX
(72) lmoUjRUdhwypSae_ Õ Êº ʨ ¼ _À Á =QSRUX *©"k| V=XWjRUd ~UwdsanX`p^lm_¹lmojydgVÃljyaei±idhwwyX`ijaedg_3dg;jyRUX±$wyprjrµÊdgwX`wkX!MX`ij(dm ^`_ ¼ °$d9ljae_Uf~/dgae _9jkwydgoU_$Uab_Uf¬XWwywdhwypSdh_¯jRUXÂwX1pro$cjkdg«_9o$V±X`waniWlgc lgcbfhdgwyajyRUVÃpW¨JQSRUanpkiWdgwywX1i jyabdh_anpklg~U~UceabX1IjdjRUX+$_$lmc wyX`poUcjJdgl=iWdgV=~Uojljaedg_ItUoUjidhwwyX`ijae_Uf±pXW_prabjaegX ae_hjyXWwyV=X`anljyX(lgwanlmt$cbX1pSaep&pdgV=XjyabV=X1p&ab_9jyXWwyX`prjae_Uf$¨ XW~/XW_ab_$f dg_ pdgV=X¬lgcbfhdgwyajyRUVå~$wdh~X`wrjyabX1pWºjR$X$_$lgc*iWdgwywX1i jaedg_¤aeV=~UwdhX`p jyRUX¬lhiWio$wylhiqdg&jRUXidhV±~$ojX1¤wX1proUcbjÂlg_$¤jR$X ae_hjyXWwyV=X`anljyX iWdgwywX1i jyabdh_¬XW_$R$lm_$iWX`pjyRUX(_soUV=XWwyaei`lmcÇp{jlmtUaeceaj{qdmjyRUX
(73) lmcefgdhwabjR$V¨ QSRUXx~$wae_$iae~UceX`p dmsjR$X *© "| V=XjyRUd+lgwXjyRUX;²dhcbced&ae_Uf$¨ [^aegX`_
(74) lkiWdgV=~UojyX` º1jyRUX;V=XjyRUd
(75) qsaeXWcnUplidgwywyX`i jyX` 3XW$_UX`Ilhp I £ QSRUX(idhwwyX`ijae_UfÂjXWwyV anpjRUX
(76) iWdgV=~UojyX`cbae_UX1lmwya 1ljaedg_dm jRUX(X`wwydgwab_ I&ajyRIwX1pr~/X`ijjyd±jRUX(wydgoU_ab_$fÂX`wwydgwp ae_hjywdoiX` ae_ jR$Xae_hjyXWwyV=X`anljyX3idgV=~UoUjyljyabdh_$p`¨ $dgwXWªUlmV=~UceXgº&ceXj tX3jRUX°$dhlmjae_Uf ~dhab_9j¬X`lmceo$ljyabdh_ dg
(77) l ~UwydgfhwylgVåjyR$ljÃidhV±~$ojX1p ìlj±jR$XUlmjoUV )¡ U¥ ¨ QSRUXIidhV=~Uojylmjaedg_ dg&jRUXIae_9jXWwyV=X`anljyX lmwyaelgtUceX`p ºsfhXW_UX`wylmjX`p;jR$XhX`i jydgwdmjyRUX lmt$pdgceojXXWceXWV=XW_9jlmwyq±wydgo$_$ae_Uf+X`wwydgwp ( ¢¡ ¥ ¨ sdºjyRUX=$wp{j+dhwyUXWw
(78) lm~$~UwdªaeVÃljX±anp $ - ¡ m¥ $ QSRUX¬idhV=~Uojylmjaedg_¤dm oprX1p
(79) lmcefgdhwabjRUV=ani a !/X`wX`_9janljaedg_6lm_$ wydgo$_$ae_UfX`wwydgw
(80) X1p{jyabVÃlmjX`pÂjydwyXjo$w_ jyRUXIidgwywyX`i jyab_$fIjXWwyV ¨¹QSRUX *© "|ÚV=XjyRUd lgcepd ~UwydsaeX1pJliWdg_UXW_$iWX(jRUwyX`pRUdhce¯lhppdianljX1jdÃjyRUXÂiWdgwywX1i jX1wX1proUcbj ¨JQSR$X`pX+cnlgprjkV=dgwyX jX`iR$_Uaei`lmclgp~X1i jyplmwyX _UdgjJ_UX`iWX`pyplgwq=RUX`wX1lòjX`wJlm_$lmwyX(X`pyiwyaetX1¬ae_ D¨ XWj ¡ Ç¥JtX+jRUX
(81) V=d9p{j lgiWiWoUwljX
(82) lg_$p*X`w&jR$lmjiWlg_¯tXÂwXWjoUwy_UX1It9qjR$X+~UwydgfhwylgV¨S}&X`celmjaedg_ &wyXjyoUw_p jR$aep*dg~jyabVÃlgc ¬&R$XW_ aep*lm_¬lhUabjaegXkpqsV±V=XWjwyaei&dgMjRUX^idgV=~UoUjX`wX1proUcbj ¬&abjR¬wX1pr~/X`ijxjd Ǧm§U¨QSR$X *© "k| V=XjyRUd¯wXWjoUwy_$pl_soUV+t/XWw^icedhpX(jd¬jRUanp ~UwydsaeX1jR$lmjkjyRUX+X`wwydgwJdg«jRUXÂXWlmceo$lmjaedg_ ¹idg_9jlmae_$pJV=dhprjceq$wp{jµ dgwX`wkX !MX`ij^dgxjR$X+XWceXWV=X`_hjlmwyqIwdhoU_$ae_UfX`wwydgwpW¨³´_¯jR$aep^~$lg~X`w`ºMX+XªRUaetUabj i`lgpX`pkdm*po$iR¯²oU_i jaedg_p&R$XWwyX
(83) jR$X dg~UjaeV=lgc«idgwywyX`i jyabdh_3anp _Udmj ~d9ppaetUcbXÃpab_iXÂjRUXÃidhV=~UojX1wyX`poUcbj dsX`p^_Udgj(R$lgX±lpqsV=V±XWjwyaeiÂ&abjR¹wX1pr~/X`ijjyd M¦g§¨ |J_$dmjR$XWw&V=dmjyabljyabdh_¬²dhwSjRUX
(84) lhUabjaegX(pq9V=V=Xjywani^aepkX`pyiwyabt/X`ae_jyRUX(_UXWª9jJ~lmwlmfgwlm~$R¨ *®Á a * ¼ ae_ À Õ¶ D ¨ ¼ *g dh®V±À ~$ojae"k_UoUf¬V=l=XWV=wyaei`dglmwyc*X+V±lhiWXWijo$RUwydlmUjpÂX(dmlmò~Ujy~$XW_wdªiWdgaeV=_$plmaejprX
(85) j+lhae_ Upaeo$_UifR loUi~MdhUwlwyjyX`Xijprae_Ujwf±ljjX`X`wfgV qhº i ¼9¿ a * ¼ lgpJwX`V=lgw·pS²dhwJXªUlgV±~$cbX jd6l ~UwyXWsaedgo$plg~U~UwydªabVÃljyX¯aep¬jR$XidhwX3dg
(86) ajyXWwljyabhX¯V±XWjRUdUp`¨ "kXWSjdh_ p¬V=XjyRUd lm_ jRUX¹icnlgpyprani¯abjXWwljyabhX wyX$_UX`V=XW_9jjR$lmjaeV=~UwydgX`pjR$XSlhiWiWoUwylhiq dmjRUX&pdgceojaedg_+jd(lcbae_UX`lgw«prqprjXW,V W ;lgwX*XªUlmV=~UceX`pjyR$lj«aeV±~$cbX`V±X`_9j jR$aep(prjwljyXWfgqh¨+³Êj
(87) anp(lmcnprdjR$X=i`lgpX+²dhw(ab_9jyXWfgwljyabdh_pyiRUXWV=X`p^²dhw dgwab_lmwyqIUa !MXWwyXW_9janlmc«X1u9o$ljyabdh_$pW¨=Q dX`_$pro$wX±jR$X idh_sgXWwyfgX`_$iX;dmabjX`wylmjaegX*V±XWjRUdUp`ºjyRUX&idgwywyX`i jyab_$fJjX`wV aepX1praefg_UX1
(88) jydkjyXW_$+jd `XWwyd$¨$dgwXªUlmV=~UceXgºmjRUX&idhwwyX`ijae_Uf jX`wVédmjR$X(ajyXWwljaegX(wyX_UXWV=XW_9jJanpSjR$X
(89) wX1prano$lgc  3W ¨SQSRUaepkprVÃlmceciWdgwywX1i jaedg_anpJl=~$lmwjanio$celgwJiWlgpX dmjR$X lg$ajyabhXpqsV=V±XWjwyaeig¨6|é²oUcecJ~UwyX`iWaepabdh_ lgi`ioUwlgiWq¤dmkjyRUXI_UXWélmceoUXanp=_UX1iX`pypylmwyq¹ae_ pr~/X`iWaiabjX`wylmjaedg_$p`º;lgp²dhw XªUlgV±~$cbXJae_=jR$XidhV=~Uojylmjaedg_Ãdg/jyRUXJX`cbX`V±X`_9jylmwyq
(90) ²o$_$i jyabdh_$pW¨«|kfhlmae_ºhjRUXlm_$p*X`wyp«jd+u9oUX1p{jyabdh_$p µ´ RUaefgRUceaefgR9jxjR$X ceabV=abjyljyabdh_$pSdmjR$aep&fhXW_UX`wylgcÇp{jywylmjXWfhqÃ&RUXW_IabjJaep&lg~U~UceabX1ab_$_UabjX(~$wX1ianpraedg_¨ âñ s. ! + Y +. c. U. \. s. ^. 7s. Ed. E. E. d
(91). . . @. {2{ {. @. {. B. S. Ed. Ed . d
(92). z8;: jEd. E d . 8d. FE. . Ed . . . . . !. % #"$. @. @. {2{ {. '&(. @. Ed. E. . . {. d . . @. { {2{. Hs. E. . WE. 8;: 48. d . mE. Ed. -E. 8d. PE. Ed. E. *),+. *-. /.
(93) 0%1324 5. c. X ]ZN\. A Ps. E. o. 6. . WE. N. . 2+/. B. $C. Ks. @. . $C.
(94) 687. lCJ<&< LeH@BLeE?AL IG(T @. . . . ³´_¯jyRUX+³´_9jwydo$ijaedg_º/*XÂR$lgX+_UdmjyX`IjyR$ljjRUXÂXªaeprjX`_$iX±lm_$jyRUX±oU_Uanuho$XW_UX1ppkdm«jR$XÂlg$ajyabhX+ae_sgXWwpX¡ J¥Jlg_$ jR$XJV+oUcbjae~Uceaei`ljyabhXwyX`iWab~$wdiWlgc¡ ¦m¥ºh !$º®lmaec$ae_±°$dhlmjae_Uf ~dhab_9j*lgwabjRUV=XWjanim¨¸ XJpoUV=VÃlmwya `XJprdhV±XSwyX`iWXW_9jxwX1pro$cjp idh_$iX`w_$ab_UfÂjR$X`pX
(95) idg_$_UX`ijX`~UwydgtUceXWVÃp`¨ ^`_ ¼ UÁÁ ja/¼ a¼ ¼ |k_ lhUabjaegXab_shXWwprX¹¡ J¥ pyljyaepr$X1p s¡D^£ ¡ J¥r¥ !$ºx²dgwà M¨ ³´_ Dº aepyioppX`pkjRUX±oU_Uanu9oUXW_$X`pypdgxjR$X=lhUabjaegX±ab_shXWwprX
(96) ae_¤l¬ anpiWwXWjX=prqsV=V=XjywaniÂpoUt$pX`j Y *º*lm_$3²dgw l fgX`_UXWwlmcgwdhoU_$ae_UfJVÃlm~ $X$_$X` ²wydgV jUd Y&¨ JX;~UwdhX`pMjyR$lj "¡ !9¥ [ Zº1&RUX`wX S= ຠfgolmwlm_9jX`X`p;jRUX(XWªsanprjXW_iX dm«l±oU_Uanuho$X
(97) lgUabjaegX ae_sgXWwpXg¨QSRUaepJwX1proUcbjJlm~U~$cbaeX`pjydÂjyRUX ²dgo$w&wdhoU_$ae_Uf=V=dsUX`pSdmjR$X ³´©x©x©xµ{¶g ¯°$d9ljyab_Uf~dhab_9j±lgwabjR$V±XWjani=Z jRUX wydgo$_$¹jd¯jyRUX¬_$X`lmwyX`prj XWgX`_ ¬XW®lmoUcbj=wdhoU_$ae_Uf¯V=dXgºxlg_$¤jR$X aewX1i jyX` wydgoU_ab_$f V±dX1p wydgoU_$ jydlgwy$p WXWwyd lg_$ wydgo$_$ jdSlmwUpÃae_$_UabjaeX`p ¨¢³Êjanp¬_$dmjpoUwy~Uwyaepab_$f¤jR$lmj oU_Uanu9oUX=lgUabjaegXÂab_shXWwprX1pJXªanp{j^²dgwjR$X+²dhoUwwydgo$_$ae_Uf¬V=dX`p^&RUX`_ X`_UdgwyVÃlmcea `X` proUt$_UdgwyVÃlmcnp &°$dhlmjae_Uf¬~/dgae_9j _soUV+t/XWwpJlg_$fgwlgo$lgcÇoU_$X`wr°d lgwX(llmaecelgtUceX^Zlgp&abjkanp&jyRUX+iWlhprX^²dhw&jRUX+³´©x©x©«µr¶m mlmwyajyRUV=Xjanim¨ ¹lgcepd ~/dgae_hjp^dgoj^jR$lmjjyRUX wydgoU_ab_$flSlq¬²wydgV WX`wd +V=dsUX±pyljyaepr$X`p ¡ M¥k, ! ¤ !$ºM²dgw nYSºÇ&ajyR lg_$ XWhXW_&ajyRUdgoUjkXW_UdhwVÃlgcba WX1_soUV+t/XWwp`¨ ^`_¼ *® ] * g ja/¼ ¼ ] À h * ãQSRUXV+oUcbjae~Uceaei`ljaegX wX1iae~Uwydsi`lmc+¡ ¦g¥Ãpyljanpr$X`p 9¡Ê& ¹¡ ¦g¥r¥3 gº&²dhw ¨ÂQSRUX=XWªsanprjXW_iX=lm_$jRUX=oU_$aeu9oUX`_UX`pyp^dmxjyRUaep wyX`iWab~$wdiWlgcUXW~/XW_$Up dh_jyRUX±wdhoU_$ae_UfV±dXÃlg_$¯jyRUX=lgcbo$X dmx¨ 3~UwydgX1p*jRUX(²dhcbced&ae_Uf=wX1proUcbjypSae_3lm_I³´©x©;© lmwyajyRUV=XjyaeiµDceab·hX(idg_9jyXªsjJ&RUXW_IoU_XWw°$d lm_$dgX`wr°d lmwyX¬_$XWfgceX`ijX1 D¨ |éoU_Uanu9oUXVÂoUcbjae~UcbaniWlmjaegXwX1iae~Uwdi`lmc;XWªaeprjyp²dgwÂjR$X wdhoU_$¹jydlgwyUp=£ ¬wydgo$_$ae_UfV=dXg¨ QSRUX=dmjyRUXWw V=dX`p qsaeXWcnlmj V=d9p{j+Y¬wX1iae~Uwdi`lmcnpJ²dhw( jR$X=°$dhlmjae_Uf¬~/dgae_9j _soUVÂtX`wyp^jyR$lj(X`_$icedhpX jRUX=wyX`lgc lmceoUX ¦g¨QSR$XÂXWªsanprjXW_iX+dg«jRUX±V+o$cjyab~UceaniWljyabhX+wyX`iWab~UwydiWlgc X`~X`_$Up^dg_¯jyRUX±V=lg_9janppylceXW_UfgjR
(98) ¹dm«jyRUX°$dhlmjae_Uf ~/dgae_hj_9o$V+t/XWw1¨ idh_z{X`ijoUwyX`pJjR$lmjJjR$X
(99) _soUV+t/XWw ¡
(100) /¥Sdg°dhljyab_$fÃ~dhab_9jk_soUVÂtX`wyp&&abjR_UdÃV+oUcbjae~Uceaei`ljyabhX wyX`iae~UwydiWlmcManpJpo$iRjR$lmj&jRUX
(101) wljyabd «¡
(102) M¥¦m§ jX`_$UpSjyd=jRUX+iWdg_$prjylg_9j(¡ c* $j¡ hb¦ *9¥r¥¦g§Â&RUXW_
(103) ¯fgdsX1pjdÃae_$_Uabj{qg¨| wyX`iX`_9jS~$wdsdmdm jRUanpJidh_z{X`ijoUwyX aepJ~Uwdh~d9prX1ae_ D¨ pRUdJpl¬ceX`pypkfhXW_UX`wylgc ~$wdh~X`wrj{q²dgwjR$X³´©x©;©«µ{¶g Idgo$tUcbX±~UwyX`iWaepabdh_¯°$d9ljae_Uf~dhab_9j _9o$V+t/XWwplg_$ jR$X wydgo$_$Âjd(jyRUXJ_UX1lmwyX`prj XWhXW_ &wydgo$_$ae_Uf(V=dsUXJab_ ʨ«|&òjX`w;R$lsae_Uf(~UwydgX1
(104) jyR$lj g s¡ ¦ M¥ l ¦g§ º RUX±XªRUaetUabjypjRUX=pV=lgcbceX`prj^UdgoUtUceX±~UwX1ianpraedg_¯_soUVÂtX`w f 3f§¬po$iR¯jyR$lj ¡ ¡ ¦ M¥r¥ g¨ so$iR¹lwyX`poUcbj aecbceo$prjwljX1pjRlj«jR$XkidhV±~$ojylmjaedg_$p«dg 9¡ m s¡ ¦ U¥{¥«lg_$ ¡ M¦ U¥lmwyX&_UdmjxX1uho$ablmceXW_9j;lg_$=wX`V=ab_$±o$p*l^®lmV=dgop iRUae~°l e` ʺ eg ʨ " ¹ S W & ã+" 6 Þ"
(105) #$ &%
(106) '(
(107) )*'+ Þ+" 6 )'
(108)
(109) à }&X`celmjaedg_$p±t/Xj{XWXW_ lm_$ ¬fhdgX`w_ jyRUX¯Xªanp{jyXW_$iWX¯lm_$ jRUX¯oU_$aeu9oUX`_UX`pyp=dmjRUX¯lg$ajyabhX¯prqsV=V=Xjwyanidg ¬&ajyR wyX`p~X1i j jd3¨Ã¸¹Xlm_prXWw jydIu9oUX1p{jyabdh_$p µ´~Uwdsae_UfwX`celmjaedg_$p dh_jyRUXidhwwyX`p~dh_$ae_UfIidgwywyX`i jyabdh_~Uwydgt$cbX`V &abjR ¢§g(lm_$ ¨J¸ X±iRUdhpX(jyd¬~$lgwylgV±XWjX`wa WX jyRUXÂanpyio$pypraedg_¯&abjRwX1pr~/X`ijJjd¬jRUXÂab_UabjanlmclmceoUX dm«jR$X idhwwyX`ijaedg_~UwdhtUceXWV I ¡ ±£ U¥ ¸¹X~UwydgXidg_ajyabdh_$p±dg_ jyRUXjylgwfhXjÂlgcboUX ºXW~/XW_$Uab_Uf¹dg_ l3fhabhXW_ º;proiR jR$lmjlidhwwyX`ijae_Uf¯jyXWwyV ¤jR$lmj gX`wab$X1p*wyXWcnljyabdh_ XWªsanprjyp&lm_¬anp&oU_Uanu9oUXg¨ XWj 6tXdm&jyRUXpylmV=X¬paefg_ jyR$lm_ º²dgw±XªUlmV=~UceX¬~/dhpajyabhXg¨ ¸ Xaeprjae_UfhoUaepR paª wyXWfhabdh_$p gºjR$lmj X`~X`_$Ãdg_ ¬aem_ Z ! [ʺgjyRUXJ~/dhpajyabhXJ~$lmwjxdm 3&RUX`wX X`_UdmjyX`pjyRUXkcnlmwyfgX1p{jx~/dhpajyabhXS°$dhlmjae_Uf(~/dgae_hj_soUV+t/XWw1¨QSR$X Xªanp{jyXW_$iWXlm_$ jyRUXoU_Uanu9oUXW_$X`pyp(dm&l¯idhwwyX`ijae_UfjXWwyV ¹gX`wab²qsab_$fwyXWcnljyabdh_ lgwq3&abjR wyX`p~/X`i j(jyd¯jR$XÃwX`fgaedg_ &RUX`wX ItX`cbdh_Ufhp`¨ ¸¹X(pro$V±VÃlgwa WXkjRUX1prX ~Uwydg~/XWwjaeX`p*&ajyRaefgoUwyX+ lm_X`gdgjXJjyRUX _UXªsj&prX1i jyabdh_jdÂjR$X^~$wdsdm®p`¨ QSRUX1prXwyXWfhabdh_$p+UXW~/XW_$ dh_ jR$X²dgceced&ab_Uf3²oU_$i jyabdh_$p ìlm_$d W
(110) ¨ QSR$X²oU_$ijaedg_ =¡ M¥(V=X`lhproUwyX`p
(111) jRUXanp{jlm_$iWX t/Xj{XWXW_ lg_$¬abjypkicedhpX`prj*°$d9ljyab_Uf=~/dgae_9jJ_UXWaefgRst/dgw1º =¡ M¥;= O ¸¹X(gXWwyab²qÃjR$lmj =¡ M¥; ¡ /¥ ºXªUiX`~j&²dgw I %§ $
(112) &RUX`wX =¡ /¥; ¡ /¥y¦m§U¨x³´_¯lmceciWlgpX`p`º =¡ /¥ ¨;QSR$X ²oU_$i jyabdh_ W+¡ /¥*X_UX`p*jR$XpV=lgcbceX`prj*_soUVÂtX`w* pro$iRjR$lmj ¡® £ ¥; ²dgwSlmcecUjR$Xk°$d9ljyab_Uf+~dhab_9j*_soUVÂtX`wyp h¨¸¹X R$lhX W¡ /¥1 s¡E £ ¥* ¸¹X(gXWwyab²qÃjR$lm(j W+¡ /¥; § - - ^²dgw ¡ 1 ¥ m ¯§ R$lgpS~ItUabjyp ºlm_$ W+¡ !h¥; !U¨ jð p rð q . . X. X. 9X4Z. S. . ]\. . . 8;:. 0
(113) 2. R8;:. . j . =8;:. . . . . @. . . . !! #" %$ EGP| $. . . . S. . . TC(. B. . . g. . . . . o8;: FE. C. B. & 0 2. E. ('). KE.
(114) . X. X. X. X. \. . I8;:. . . wA . &*+ ,.-/. . #. . 10. . CR. 2*3 ,.-4/. B. 65. . 75. 98;:.<. = . >6?@-4 5. 4BA. . TC . B. f C+. . 8;: 4E. . E. . E. gE. f8;: +|. -8;: FE. 18;:. 8;: +E. +E N. D. [j. . @. -. 8;: FE |. /. F. R. HE. Ed.
(115) . E. z8;: #Ed. | ;{. B. E. B. 1E. Ed. Ed. |. $C. Ed. HG. ;. @LK. K. |. KE. B.
(116) . M. . @. { {2{. @. GJI. $C. NM. FE. IE. M. M. FE. 6E. FE. FE. L. E. BX. 7E. !E. 8;:. S$ ET$. n. +8;: ! V. #{ 8. @. E. 6E. M. ,R. 6E. . 7E. 6E. [C. B. Ed. E. {. FE. OM. UP. $ EW$. L. B. 8. 6E QP. ,R. {. pC. G. [C.
(117) . &%. ('. . 43. !"$#. +? <
(118) . (5. "*)!+. (7 6 . *" #. + ". :. ". >¬GhLMBDNMK. ; < = @ GBA BD7C17 ;?> @ BD7Ã4KBHG 4G ;D F G9. @ E BE7-/K -/K7CÂ NM7C +?*8«N1AG9.`7< NM.<¬N¬PFFCDBD09- CEG NM7C <
(119) ¤8«N1AG9.`7 + ?. ,. 8ÃBDG.1Gs-.9BEKL "*)-, ."*#0/21 ? GhG¹?G90I1BDNMKKJML > . ,. abfhoUwyX+ so$V±VÃlgwq=dmwyX`poUcbjyp*dg_uho$X`prjaedg_$p µ´(dmjRUX idhwwyX`ijaedg_Ã~UwydgtUceXWVI¨|J_$pXWwpxjyd
(120) jR$X^dhwaefgae_$lgc$~UwydgtUceXWV lmwyX dgtjlmae_UX`tsq¬pyiWlmceae_Uf±jRUX $fhoUwyXtsql®lhi jdhw º ¯t/X`iWdgV=X+klg_$ tX1idhV±X1p&¨ "Ã+" +" 6 " ¹ S W & N ¸¹X
(121) wX1iWlgcbcMjyRUX
(122) aeV±~/dgwjylg_9jJwX1proUcbj&²wydgV sjXWwyt/XW_ ÕY jR$lmjkfgaegX1p&lÃprPo OiWabX`_hj^idg_ajyabdh_²dgwklg_ XªUlhi jJpro$tjwlgijaedg_ ae_ Rsqs~/dmjR$X`paep&dh_ lmwyabjRUV=Xjyaei(lgwX XW$_UX`ae_jRUX(³´_9jwydo$ijaedg_ ¨ Q;¼ RTS ¼ ¼ VUXWZY + [ ] \ ^ \ §m` _ba = dc Me *c h g [ Ê ¡ ¹ ¥ B g i g j e D a ¨ h X ¨ k e f ¡E ¤¥x ¤ QSRUanp~Uwdh~X`wrj{q±XW_lmtUceX`p*o$p*jd=XWwyaegXkaewyX`i jS~Uwydsdm®p*dmÇjR$XXWªsanprjXW_iXgºlg_$ae_pdgV=Xi`lgpX`p;dmjyRUXo$_Uaeu9oUX`_UX`pyp`º9dgjR$X idhwwyX`ijae_UfÂjXWwyV Xª~/X`i jyX`ae_wyXWcnljyabdh_ ¨x¸ X+fhljyRUXWwjyRUaepk·sab_$dgX`waeljyabdh_anp&_UXWª9j X`i jyabdh_I$¨eg¨xQSRUX(dgjRUX`w ~Uwydsdm®p*_UXWX1=jdÂXª~UceaeiWajycbqanpyio$pyp*l+cbdgj*dg~d9ppabt$cbX^idgwywyX`i jyab_$f(jX`wVÃp;jR$lmjSX`~X`_$dh_ÃjR$Xlgijo$lgclgcboUX1p;dg lg_$ ¨«¸¹X(~UwyX`pXW_9jJlgp&pabV=~UceX
(123) lgpS~/dhpypabtUceX ~Uwyd9dg®pSdm jRUX1prX
(124) i`lgpX`pab_ sX1i jyabdh_¨ YU¨ . 7. . . Ed. X. X. F. . . . k +. . B. . t %'lm&N,. bZ. &(3 $5 &(%6t l8;:. b. TC. j*2& A l;". N. p*-%'l zh=%'&'i. }3 t ) %6"$*". N. A"$t * ,nl]t &7t ) *23. t h. &Fik*. t &(%'l[q. o%'lT&43t " m5* ,nl]t3 t Ml;" %'l[q* 3/3t 3 8;:. |. B. N. N. T{. $C. P. -Ed. E. H. l 7:9. m1L IG(TV@ n Con @BPR>:<(LeE?G I >:<qpsr S(AC SXLoAB@D>VL3. ¸¹X
(125) wX1iWlgcbcÇjyR$ljkjRUX+°$dhlmjae_UfÃ~dhab_9jk_soUVÂtX`wyp lm_ ¹prR$lgwX jyRUX+pylmV=X
(126) pabfh_3lm_$X+pro$~U~d9prX jyR$ljjRUX`qlgwX(t/dmjyR ~/dhpajyabhXg¨³Êj*anp*prjwlmaefgR9j²dgwylgwy+jd±iRUX`i·ÂjR$lmjXWªUiXW~Uj*ae_ÃjRUXjwyae9anlmc/iWlhprX ºlg_9q=lgi`iX`~jylgtUcbX =V+o$prj*R$lhX&jR$X pylmV=X(praefg_Ilgp ¨ R W?t3K u QSRUaepSanpjR$X
(127) lgUabjaegX ae_sgXWwpX^i`lgpX&RUaniRIaep&lg_$lmceq WX1ae_Il±V=dgwyX fgX`_UXWwlmcM~/dgae_hj&dgsaeXW ae_ lgp~UwyXWsaedgo$pcbq V±X`_9jaedg_UX1Ǩ«UdgwJiWdgV=~UceXjyXW_UX1pp`º*X ~Uwydg~/dhpX^jRUX ²dhcbced&ae_UfÂ~$wdsdmab_jyRUX
(128) ioUwywyXW_9jJidg_9jyXªsj`¨ }&XWcnljyabdh_ ¬anppyljyaepr$X` ²dhw ¢ ¨×QSRUX¹XªUlgijidhwwyX`ijaedg_ anpjyRUX¹oU_Uanuho$X pdgceojaedg_¨ XWj 3 ¬£ t/Xlm_sq3idhwwyX`ijae_Uf¬jyXWwyVî&abjR *¨I©xabjR$XWw ¯ !dgw =¡ M¥^t9q X$_$ajyabdh_ dg =¡ Ç¥ ¨ QSRUXW_ ¡ ±£ U¥x ¡ 9¥*tUoj ¡ s¥ s¡ á /¥8¥ . !$¨ R W -v \(t f(w¹¡ t ¥ QSRUaep(iWdg_$Uajyabdh_¹aeV=~UceabX1p jR$lmj !¯lm_$ ± =f,!$¨Ã¸ XÃdh_Uceqced9dh·¯²dgw 3f,!Uºprae_$iWX ,!fgaegX1p 9¡ £ U¥ =¡ /8¥ . ¨x¸¹X
(129) anp{jyab_UfhoUanprRjRUwyXWX
(130) i`lgpX`p*jd=~UwydgXjRlj ¡ ±£ U¥ ¨ g¨S¸ RUX`_ . § º £ f ¯lm_ ¡ ±£ U)¥ f f1!gf ¨ âñ E. Ed. PE. Ed. P|. EEd. {. . G. b. |. eHEd. $C B y. f8;: #Ed. G. |. dE. Ay. |. 98;: 4y. D$ 8;: 6y $#P8;:. | L. . M. . Ry. U$ y $@P. M. #Ed. &M. Ed. d {. X. Ed. 8;: #Ed. A| P. Ed. 7|. . |d L. . 2+/. PNM. Ed. #Ed. . |$L. EEd. R|. E. Ed. D|. P8;: #Ed. gfEd. 8;: #Ed. A|. gfEd. E. |. w|3P. E. #Ed.
(131) Y ¨S¸ RUX`_ f M¦g§º$X
(132) R$lhX § ²dhw !$¨&³Êjk²dgcecedJp&jRlj ¦m§ =¡ /¥klm_$lgp =£ . ¦m§Uº X^~$wdhXkjyR$lj ¡ =£ U¥ 9¡ M¦g§g¥ á /¥8. ¨ U¨S¸ RUX`_ ¦m§\ =\ § ºjR$X XWªlhi j
(133) poUtjwlgijaedg_ ±wX1proUcbj ²wdhV 9jyXWwytX`_ Ãlm~U~$cbaeX`p`¨QSRUanp V±X1lm_$p
(134) RUXWwyX ¡ ±£ U¥( ¬£ M¨¬QSRUXÃ_soUVÂtX`w º&pab_$iWXÃaj
(135) anp
(136) iWcbd9prX`w jd ¤jR$lg_ =¡ Ç¥ ºajp
(137) icedhpX`prj _UX`abfhR9t/dgw&ae_ ¨kQSRUXWwyX²dhwX^_Ud=°$d9ljyab_Uf±~/dgae_hjJ_soUVÂtX`w pyljyaepr$X`pSwyXWcnljyabdh_ ¨ "JdÃidhwwyX`ijae_Uf+jyXWwyV pyljyaepr$X1p*wyXWcnljyabdh_ *²dhw ¯ab_jR$aep&wyXWfhabdh_ ¨ R W w¹¡ t $¥ \(tlf t¦ ¸ X~UwdhXÃjR$X¬Xªanp{jyXW_$iWX²dhw ab_ jRUanp+wyXWfhabdh_ proiR jR$lmj Ǧ ¡ /¥+aep±lm_ ab_9jX`fgX`w`¨3¸¹XIX$_$XjR$X~/dhpajyabhX ab_9jX`fgX`wyp Mb¦ ¡ /¥Slm_ Mb¦ ¡ M¥ ¨Udgw 3ab_jyRUaepkwX`fgaedg_Bº ¡ MF¥ f1¡ /¥&lg_$ I ¡ ¥ ¡ /¥ gXWwyab$X`p X\ f ¨xQSR$XWwyX²dgwyX lm_$ S ¡ M¥; ¯gX`wab$X`pSwyXWcnljyabdh_ ¨ QSRUaep*~UwydsdmXªsjyXW_$Up 9jyXWwytX`_ ^X`u9o$lmceabj{q+²dhw*jyRUX proUtUjwlgi jyabdh_ jd f Ǧg§ ~UwydsaeX1=jRlj M¦ ¡ M¥xanp*lg_ ab_9jX`fgX`w`¨ "kdmjR$ab_UfUabwyX`ijkprX`XWVÃpSjdÃt/X+X`waelmtUceX(ae_wyXWfhabdh_ (lmt/dgoj&jyRUX
(138) oU_$aeu9oUX`_UX`pypWº$_Udgw&&RUX`_ Mb¦ ¡ M¥aep _UdmjJlm_ae_hjyXWfhXWw1¨¸¹X
(139) idh_$paeX`wSjRUX1prX wyXWVÃlmae_Uae_UfÃlgp~X1i jpSab_ sX1i jaedg_$¨ U¨ R W t¦ \(t \ t UwydgV 9jX`wt/XW_ X`u9o$lgcbabj{qgºh*XR$lgX S ¡ M¥; lg_$ ¡ ±£ ¥; ¡ /¥; ¨©«ªanp{jyXW_$iWXlg_$ kaepS~$wdhX`ae_IwX`fgaedg_ ¨ |Jfhlgab_ºUaepyioppab_$f+jyRUX(oU_Uanu9oUXW_UX1ppJo$prX1p&lgijo$lgcÇlgcbo$X`p&lm_¬anpJidh_$paeX`wX1¬lmj&jRUX(X`_$¬dg X`i jyabdh_¨ $¨ R W t ft \
(140) ¡ t ¥ | pabV=aecelgwUaepyio$pypabdh_¬lgpae_¬wyXWfgaedg_ qsaeXWcnUpSlm_$lgcbdhfgdho$px~$lgwrjyaelgcwyX`poUcbjyp*dg_XªaeprjX`_$iX lm_ÃXªUlgijSiWdgwywX1i jyabdh_¨ ¸ X
(141) iRUd9prXjd=~UwyX`pXW_9jSjR$X
(142) idgV=~UceXjyX
(143) anpiWo$ppaedg_¬dg jyRUanp&wX`fgaedg_ab_I_UXWª9j X`i jyabdh_¨ YU¨ R W ¡ t8¥ ft \¬¨ ¸ X±wX1iWlgcbc d. W+¡ Ç¥V=X`lm_p ¡ ±£ Ç¥k ¨
(144) ³´_jRUX1prX±wyXWfgaedg_pWºMwyXWcnljaedg_ kanp^pyljyaepr$X1¯²dgw 3 ¤ 1¨ ¸ X(~UwydgXoU_Uanu9oUXW_UX1ppJ&RUabceX(anpiWo$ppae_Uf=wX`fgaedg_ ab_²dhcbced&ab_$f sX1i jyabdh_¨ YU¨ 7|. dE. AEd. P8;: #Ed. Ed. 8;: #Ed. 7|. |. Ed. W|. P. A| P8;: $Ed. !Ed. . Ed. %PNM. . =Ed. b. |. -Ef. Ed. d. $C. B. 1$#d. Ed. B. 7E. G. |. Ed. SM. #Ed. $C. X. Y{. RE. d. HEd. k. Ed. 7|. |. d. #Ed. M. . . . G. P. E. dE. . Ed. . d. $. 7. 1E. 9E. Ed. Ed. WE. oE. FE. EH d . Ed. g|$ d L 98;: 6EEd. k. ER d E. RE. E d E. d. . FE. EEd. Ed. E. Ed. B. fE. G. $C. Ed. H. d. G. d { =. . k. H|$ d L 98;: 6EEd. |$ d L z|$L. En. Ed. 8;: #Ed. |$ d L. z8;: 6E. zE. G. =. d. G. d {. UG. P. G. d. I. GE. $E d. K8;: 6E. Ed. E. B. . G. $C. K|. m1L IG(TV@ n Con @BPR>:<(LeE?G I >:<qp@ L PRH@DG PRT/ PRT G L 3C @ L&C P @D>:<qp,SXC#>:<#@ <8G(Q nXLeA. l 76. E. |$ d L. . pae_Uf(jR$Xlgijo$lgc$lmceoUX1p;dg/jyRUXJ°dhljyab_$f
(145) ~dhab_9j_9o$V+t/XWwp lg_$ ºsXJ~UwydgXJidh_$abjaedg_$p;dg_XWªaeprjX`_$iXklg_$=oU_Uanu9oUXµ _UX1pp²dhw pyljanpr²q9ae_Uf±wX`celmjaedg_ ab_jRUX(wyXWfhabdh_$p lg_$ mºjyR$ljJanp²dgw § f ?\ ¶ ] * ¼ À _¼ ] ÀÀ *¸¹X
(146) idhV=~UojX ¡ ±£ ¥²dgw QSRUX ²dhoUw&_soUV+t/XWw p 3f f f ÂlgwX proiRjyR$lj Z '[ \ lg_$ Z [ ! ¸¹X^_$dmjXjRlj lg_$ 3lmwyX idg_prX1iojyabhXJ°$d9ljae_UfÂ~dhab_9j&_soUV+t/XWwpSlm_$ Sdhw ¯ 1¨«³´_¬V=d9p{jJiWlhprX1pW"º lm_ lmwyX(proiR¬jyR$l#j lm_ ( O-S¨ À `U ®À ÊÀ = _ ¼ ] ÀÀ Xj Ilm_ ItX^~d9prabjaegXab_9jyXWfgX`wypxjR$lmjhXWwya²q=~UwyXWsaedgo$p*idh_$abjaedg_ ¶ ¨¸¹X X$_$X jXR$X(ab_9jX`fgX`w ` Ǧ ¡ /¥ jð p rð q Ed. 7|. B. [C. QG. dE. X6Z. X. E. G. I. DE. K. {. #C. B. \. 8;: Ed. W|. . . @ @. . . . @ @. 5. @. $@. @. . {. 5HI. @. =[C. B. | L . |$ d L. 5. . X ]Z. 5. . 5. @. |. %5. @. {. 5. B. |$ d L. C[C. . 5. \. Ed. E. B. E. FE. @. C. B. G. [C.
(147) lm_l=oU_$aeu9oUX mµÊoU~UceXá. º ! º ! lg_$ cZ ! 1¥po$iRjR$lmj (£ § £ J£ h ¡ /¥ g "Jdhw. VÃlgcba ¦mW§ X13_Udgjy¦gl§Sjyab£ dh_²2dhw ~U¦mwy§Jd9£ angX1¨pU©; u9 o$lgcb\ abj{q¬ RUdhf ce$§ pS dg _Uceqè²QSdgwRUXidh _$ ab jaedg¨ _ § 2f qsabX`ceUpX!?\ 3f ¦g§ºpd UwydgV wyXWcnljyabdh _$p 1 lm_ g º ¯gX`wab$X`p S *£ § £ ¡ m¥£ h ¡ ¥ ¡ /¥ 1Y QSRUX
(148) _$XªsjJjR$wX`X(jylgtUcbX1pkXWjylgabcjRUX±idgV=~UoUjyljyabdh_¯dm«wyXWcnljaedg_ ²dhwkX`lhiRIlgcbo$X
(149) dm Ilm_$jyRUX+a !MXWwyXW_9jlmceoUX1p dmÇjyRUXk~lmwlmV=XjyXWwp
(150) lm_$ jRlj*fhdgX`w_ÂjRUXwdhoU_$ae_Uf
(151) dgÇwX`celmjaedg_ Y «lg_$ÃwyXWcnljyabdh_ ¨¸¹XUX$_UXkjRUXwXW²XWwyXW_$iWX ~/dgae_hj  ¡ 1V¥ ¡ /¥ ` jRlj
(152) &aecbc«lmwyqlgwdhoU_$ ¨ sab_iX ¦g§ \ f § º Ianp(l°$dhlmjae_UfI~dhab_9j(_soUV+t/XWw(_Udgj
(153) _UX`iWX`pyplgwaeceq _UdhwVÃlmcea WX`¨¸ Xaepyiopp jyRUX¬iWdgV=~Uojljaedg_¤dgSwyXWcnljyabdh_ ^²dhw
(154) lmwyqsab_Uif ¡ s¥^&ajyR¤jRUX²dgcecbd&ae_UfjylgtUcbX1pW¨IUwydgV wyXWcnljaedg_ ` º«X¬R$lhX ¡ /¥y¦m§ \M¡ s]¥ \M¡ M¥ ¨ QSRUXa !/X`wX`_hjÃiWlhprX1p(²dhw+jyRUXo$cb~6dm ¹lm_$ ajpÂ_$XWaefgRstdhwypÂlmwyX ¡ /¥y¦ h º ¡ M¥¦m§lm_$ ¡ M¥ MjyRUX`pX
(155) lmceoUX`pfgo$aeX
(156) jRUX+²dgcecbd&ae_Uf¬anpyio$pypraedg_¨J¸ X±idh_$pranX`w&jRUX±iWlhprX1p ¡ s¥/ ¡ M¥¦g§ lm_ ¡ s¥x1 ¡ M¥*Z lmceoUX`p²dhw&jRUX _UX`abfhRstdhwyp&lg~U~X1lmwSaeV±~$cbaniabjceq¬ae_jRUX
(157) anpyio$pypraedg_¨ QSRUXkjylmt$cbX1p*lgcepd
(158) ~UwyX`pXW_9j 1º9jyRUXwydgo$_$X`=lgcboUX^dmwyXWcnljyabdh_ Y ¨ *dhV±~lmwyab_Uf Slm_$ Ã&R$XW_ ¡ =£ U¥x qsabX`ce$p(jR$Xlm_prXWw(jyd ^U¨I¸¹X¬ae_$aniWlmjX¬pdgV=X¬i`lgpX`p(&RUX`wX = dgw aepÂpro OÃiWabX`_9j
(159) jd¹XWwyabhXl ~/dhpabjaegXdhw _UX`fhljyabhX lm_prXWwjd ^$¨ `& 1 ®À h¨ *¡ h¥; *¡ t¥ ¸ RUXW2_ ¡ /¥ ºabj=V=X1lm_$pÂjRlj ¤aep±_UdhwVÃlg cba WX1 lm_ ? ¨ XWj º;abjypÃpo$iWiWX`pypr dhw aep %-é ¡ U¥V¡ /¥¨³Êjyp~UwX1X`iWX`pyprdhwÃaep ¡ §h¥ ¡ /¥º&XªUiX`~j¬&RUX`_ & RUXWwyX é¡ d*s¦m§h¥ ¡ /¥¨(¸ X=_UdgjXÂjR$lmj , ¨
(160) ³Ê) ¡ /¥^ ºÇV=dhprj^wyXWcnljyabdh_$pprjaecec«RUdgcnlg_$ ¢¡ §h¥ ¡ /¥¨ ¸ X^gX`wab²q±jR$lmjjyRUX^fgo$lgwyÃt$aj aep_UdgjoprX1&RUX`_idhV=~Uojae_Uf±wX`celmjaedg_ pab_$iWX_$d+lmceoUX^aepSpRUaòjyX`ǨxQSRso$p *X(pabV=~Ucea²q¬jRUX(_$dmjylmjaedg_$pSXW$_Uae_Uf '! lm_ cZ ! ¥pro$iRjRlj £§ k£ h £ § "Jd X Xª~UcedgwyXkjyRUX jylgtUceX(&ajyRwyX`p~/X`i jSjydI¡ e¥*jyR$ljJfhdgX`w_$p;jR$X(wdhoU_$ae_Uf±ab_ ¡ ±£ U¥ ¨ . 6. @]@. @. ¥&abjR. . . . Ed.
(161) . . z. . P. $C. B. <. 61 6. . B. |$L. .
(162) w. <. . . . 6. R. . z. FE. 6y. B. FE. . 6E {. >. $C. B. |. #C. 6E. . B. =$C. @. B. [C. jy. =$C. 6y. Py. FE . 6y. FE. FE. I|$ d L. C. X. #C. B. 9|[ d L. s. D|[ d L. |. 8;: #Ed. Q5. A|. zE. B. . X ]Z \. /{. . 6E. y. . y. .
(163) . 6E. 1y. R. I. y. . y. FE. f . . 6Y. @. . . 6. . 6. @. . . 5. U¦b¡ /¥ £ |. . . 6E. . . P. f. . . . £. . . A|. -e e- e- . |d L. FE. . X. . . / / ! dhw ¡ ± £ U¥U¦ ¡ M¥ £ ¡ £ 1¥ ¡ ¥ 6. . . . . {. H8;: #Ed. . X. . . M !. ¡ ±£ U¥y¦ ¡ /¥ £ -e £ £. . 6. #Ed. z. . @. =$C. B. £. 8;: #Ed . . Q5. |. R R. X. . X. X. . . . . . !. X. . . 6. . 6. . . . . @" @". @. @. FE. z. P. . . !. W. 2+/. . . 6E. £ \ \ QSRUaepSXWª~UcbaniabjkidhV=~Uojylmjaedg_fgaegX1p;jyRUX ²dgceced&ab_UfÃlg_$prXWwp*jdÃu9oUX`prjaedg_p µ´U¨  aepS~/dhpabjaegX XªUiX`~jJ&RUX`_¤¡ e¥; ¢¡ !h¥;²dhw&ds$ º YÂaepS~/dhpabjaegX XªUiX`~jJ&RUX`_¤¡ e¥; ¢¡ !h¥º. âñ. y. FE. . 6. }JdgoU_$Uab_UfÃiWdg_$abjaedg_p |. . FE. . . E. =$C. B. . . dE. . C M| L EEd. H| L . 6y. +C. B. z.
(164) . FE. . @. . y. B. >. . [C. . . 6E /{. . B. 6. FE. . @. . nE. DP. . @. @. |. . . @. W. 1. . P. . z. . =!. . . . £. £. . . .
(165) ^±aepS~/dhpabjaegX &ajyR Âgºlm_ j{d=iWdgwywX1i jyab_UfÂjX`wVÃpSXWªsanprjS&R$XW_ ¡ n¥x ¢¡ h! ¥;²dgw&X`gXW_ ¨ . !. %6. . . @. @. YU¨ *¡ h¥; *¡ t¥¦ ³´_jyRUanpiWlhprXhº' ¦m§ \ Uf2 ¨ QSRUXxVÃlg_hjyaepypyl*dg &aep prR$aòjyX`^jdJiWdgV=~UojyXxwyXWcnljaedg_ Çlg _$jRUXxfho$lmw tUaj ab_9jywdo$iWX`pjyRUXku9o$lm_9jyaj{q¡ ¥¦g§*XJiWdg_$paeUXWwjd(wydgo$_$ ¨¸ XJoprX ¢¡ M£ ¥ ¡ M¥ ¨«¸¹X _UdmjyX jR$lmj ¡ ¥;\ ¡ 9¥x\ ¡ M¥¦m§U¨;QSRUanp&fgaegX1pSo$p&wyXWcnljyabdh_$pjdXW$_UX lm_$ lhpSjRUX(wyX`p~/X`i jyabhX _UXWaefgRst/dgwp dm lg_$ plmjanp{²qsae_Uf¬wyXWcnljyabdh_ ¨ ¸ X=pXW~$lgwylmjX(j{di`lgpX`p&ajyRwyX`p~X1i j^jd lm_¯*XÂtUoUaecejR$X jylmt$cbX &abjRI wX1pr~/X`ijSjd3¡ ¥Sprae_$iXá ¥fgdhXWwy_$pxjyRUX(wydgoU_$Uab_Uf=ae_ 9¡ ±£ ¥ ¨ l ¬¸ RUX`_ ¨ }&dgoU_ab_$fidg_ajyabdh_$p ( !
(166) ! = ! dhw (£ $¦ ¡ M ¥ ¡ ±£ U¥¦ ¡ M¥ ¡ =£ U¥$b¦ ¡ /¥ e (£ £ £ ¡ £ 1 ¥ £ £ e (£ £ e (£ £ ¡ ¥ (£ £ -e ¸¹X(_UdmjyX jR$lmj ±dsX`pS_$dmjJ_UX1iX`pypylmwyqÃtX`cbdh_Uf±jd ¨kQSRUX
(167) iWdg_$iWcbo$paedg_$pSlmwyX^_Ud jyRUX ²dgcecbd&ae_Uf9pW¨ Â(lm_$ ^±lmwyX ~d9prabjaegX ae_IlgcbcMjyRUX
(168) iWlhprX1pWº YÂaepJ~d9prabjaegX &RUX`_¹¡ ¥; "¡ ! !h¥lm_²dhw&ds$ º j{d=iWdgwywX1i jyab_UfÂjX`wVÃpSXWªsanprjJ&RUXW_ ( dgw
(169) ¡ ¥x ¢¡ ! ¥&abjR = !Uº jR$wX`X
(170) idgwywyX`i jyab_$f+jyXWwyV=pSXWªaeprj&&RUXW_ ¡ ¥; ¡ ! !9¥lm_$²dgw&X`gX`_ ¨ Y{. . . . . 4y. ;@. $C. w|$L. . f. 5. 6. @". H8;: $Ed. @. B. =$C. . X. |. . . 6. . |$ d L. |. |. FE . . . #Ed. . X. . 5. X. . X. |. . . . . . X. . . . X. !. . . . . . . X. . Q5. X. A|. z. @. . !. X. 6E. . @. . . z. . . w. . H. . 6. @. @. . 6. %6. 6. @". @. @". . . @. t QSRUanp&cnlgprjjlmtUceX fgaegX1pjRUX
(171) lg_$prXWwS&RUX`_ = ¨ }&dgo$_$ae_UfÃidg_ajyabdh_$p . TC B. . . 8;: #Ed. X. . . 6. FE. . . . . X. . . FE. . . C[C. B. 6. ky. . FE. . B. . ;-. . ( ! (£ . =!. 6. . . \! ¡ =£ U¥$¦b¡ /¥ £ . . . ( dhw £ 6. . $¦ ¡ M ¥ ¡ ±£ U¥¦ ¡ M¥ (£ £ -e £ ¡ `¥ e (£ £ e (£ £ (£ £ -e \ \ f ¡ 1¥ ¸¹X
(172) XWwyabhX^jRUX ²dhcbced&ab_$f±iWdg_$iWcbo$paedg_$p`¨ Â(lm_$ ^±lmwyX ~d9prabjaegX ae_IlgcbcMjyRUX
(173) iWlhprX1pWº YÂaepJ~d9prabjaegX &RUX`_¹¡ ¥; "¡ ! ¥;&abjR !$º ðnÖ ó&ØÛñ1Ô ÖEÒÛyÖ ;ÓÕÔÖEÒØ;ÜàÛÔEÖ ô`õÛñÖEÓ Ö ÖDÒÛyÖ E E Ñ 1 Ò x Ø ß Û Õ Ü õ ; Ø Ý $ ê E Ö Ò ; Ø { æ r Ø Õ Ü Ü Õ Ó Ô. Ý 1 á D Ö Û Õ Ó ñ { Ø í e ê ® ä. Ý ó ´ Ø ß { Ø ( ñ E ä. Ý 1 õ ñ í Õ Ó ñ k D Ô Õ Ó ñ { æ Ø j% ÖEóJÝ Û ;ä®Ø´Ø{ÖDäEõØS ä®Ûñ ÛÓÕñ 9ÖEðòñ^ÒÒØØ{ÖEñ ÒßÓÕÛÔÜÕõæØSÛÔE«ÝØ êMÛñÖEÖDÒÒ1í ØSØ;ÔEæ{Ý Ø{ÜÕÜÕÜõ1ÖEÓÕÓÕÔÝ Ý ñ á1ÖÊÛÓÕñ1ÓÕÔØríÂõÓÕÔñ1á ÓÕñ1 ô`ÝõÖÇØ{Ø ßÛ Ø{ñÂÝäEÛyÝ ÖEõÓÕñ ñ1xíÓÕèmñ Ý ÓÕñWÖñ`õ1óE ámØ{E ä/Ûñí MØóJ Û ;õÔDØ ØSèä®Ø{ÔDØ{ñWÖxÖEÒÖDØSÝ«ÔDÝ Ûyá`êeØ{ÖÊÔEÛÖxÓÕñJámÛÝ õæ{ñ1Ý í+ä®äEØ{êbæ´Ý ÖDä ÓÕÝ ñ j% Ûñí ñÛÜÕÜ j%. ÖEÛÒñÛyí ÖÝ ñÜ k ÝWæ{qærÔõ1äEÓ ÔÖÓÕêbÔÝ ä ÓÕó&ègÝ ÔEÔDÓÕáÜÕØ ÇØ«æ{Ý ñ æ{ÜÕõíØ«ÖEÒjÛy% ÖÖDÑÒÒØxÓÕÔä®Ø{æ{ÔDÝ õñÜ ÖíÓÓÕÖEÔÓÕÝ ÔEñÖEäEÔ ÓÕæ´`ÖEÓÕÜ Ø{kÜÕíÜÕØrÔÔEÖEÔÒÖEÛyÒÖ Ûñ jð p ðrq |$ d L. |. |. FE . . . X. . 5. X. . X. |. . . . . . X. . . 6. @. . XZ. ! #". /.. 5 N$O& . . . . . @". . >9 7 F G.. 8;: #Ed. . . X. . . X. A|. 6E. z. . X. . X. . . X. z. . . X . Q5. X . . X. H. . = DFE. FE. . . . . X. . . #Ed. . . %$'&' )(+*-,/.0 @AC ? B. 21. ,P*RQ S /.C3. $. @( *-,. ;. . . .
(174) . '3. . . 0. . H I. T. . . 4. <; 5687 : 9. J K L ; U&V$ Q , @( *+, S S X . HW. . X& @( *-,. ;. M-.. .Y '. G.
(175) {j d=iWdgwywX1i jyab_UfÂjX`wVÃpSXWªsanprjJ&RUXW_ ( dgw&X`gXW_9jyo$lmcecbqÃ&R$XW_ ¡ ¥* ¡"! !9¥ ¨ À * ®À DÀ ( _¼ ¼ EÀ ¾ "Jd *X&X`waegXjyRUXklm_prXWwp ²dgwxu9oUX`prjaedg_p µ´ae_±jRUX&wyXWfhabdh_$p µ ²wydgVjyRUX(wX1pro$cjpSdmjRUX(~UwyXWsaedgo$pSanpyio$pypraedg_¨ ¸¹X(~UwdhXkjyR$lj Âgº Y±lm_$ ^=lmwyX ~d9prabjaegX(ae_ g¨;³´_jRUanp&wyXWfhabdh_Dº W+¡ Ç8¥ f ¯fgaegX1p Ç !U¨x¸ RUX`_ ¡ s¥ ¡ /¥ºjR$X
(176) idgceoUV=_ \ !Âae_jRUX^$wprj&jylmt$cbX qsabX`ce$pSjRUX(wyX`poUcbj`¨ ¸ RUX`d_ ¡ s¥= ¡ /¥y¦m§º;jRUXIidh_$abjaedg2_ ¦g§ \ f? q9aeXWcnUp cf ²dhw !$¨ |kp \ f § ºjyRUX
(177) iWlhpr X ¡ s¥ ¡ /¥y¦m§ÂanpSdg_Uceq¬~/dhpypraetUceX &RUXW_ \ ¨xQSRUanpJiWlhprX idhwwyX`p~/dg_$Up*jydÂjyRUX(cnlgprj jylgtUceXg¨«QS RUXUaepyio$pypabdh_ÃdmMjRUanpSiWlhprX&&RUX`_ ( !
(178) fhabhX`pjyRUXkXWªs~/X`i jX1Ã~d9prabjaegX^lm_$pXWwpW¨QSRUXi`lgpX ( kdgoUcn aeV±~$cbq¬jR$lmj W¡ /¥SjR$lmjJaepS_UdgjJ~X`wV=abjrjyX`tsqÃjRUX
(179) UX$_Uabjaedg_Idg ¨ ¸¹X^~$wdhXJjRlj Â^lg_$ ^ÂlgwX^~d9prabjaegX ae_ ~UwdsanX`jRUX^jyabX tUwyX`lg·9ae_Uf±V=X`iR$lg_UaepVãdsX`pS_$dmj&~UwyXWgX`_9jSlg_9q ¯jydt/X±jRUXÃidhwwyX`ij lg_$p*X`w`¨+QSR$X=lg_$p*X`wkjyd Y¬aep ·s_Ud&_²wdhVìjRUX=jyRUwyXWXÂjylmt$cbX1p tUoj(*X=iWlg_U_Udgj(paeV±~$cbab²q¯jR$X idh_$abjaedg_$pÂdg_ lg_$ 6jd¤l¯²X`ãRUaefgR ceXWhXWcwX`celmjaedg_$p`¨¤³ÊJjR$Xlg_$prXWw+jd Y¯anp±_Ud$º«jyRUXWwyXlgwXlj=V=dhprj+jR$wX`X lgi`iX`~jylgtUcbX(iWdgwywX1i jae_UfÂjX`wVÃp`¨ . 6. c. TZ. X ]Z. TX TZ. n. 6y. T. G. G. 6y. E. . 6y. . I. . 9G. E. . . . 6. f. I. . . *6. WG. G. 6. . . . FE. FE. P. $E d. GJI. 6E. . @. . 6 . . @". I \. H. FE. %6. I. G. |. f. eEd. E. . m1L IG(TV@ m@ P @cH C#G(T:E nXL\Con @BPR>:<(LeEMG I > <^p @ L1PRH@DG PRT P T G L lC @ L &CJPk@D> <^p SXCJ> <J@ <8G(Q Xn LeA . l 7. QSRUX¬²dgcecbd&ae_Ufi`lgpX`p(wyXWVÃlmae_¤²wydgVÞjRUXaewX1i j±Uaepyio$pypabdh_ dm sX1i jaedg_ ¨bh¨3¸¹X¬Xª~Uceaniabj+jR$XwyXWVÃlmae_Uae_Ufi`lgpX`p jyd ~UwydgX^o$pab_UfÃpabV=aecelgw&Xª~UceaeiWajkiWdgV=~Uojljyabdh_$pW¨ Y
(180) ae_IwX`fgaedg_ &RUXW_ Ǧ ¡ /¥
(181) ºlm_ ÂWµÊÂdmjyRUXWwy&anprXhº Y
(182) ae_IwX`fgaedg_ ¨ saeV=abcnlmw=Xª~UceaniabjÃiWdgV=~Uojljyabdh_6&aecbc&qsaeXWcn jyRUX¯lm_$pXWwp+dgJjRUX1prX¯u9oUX1p{jyabdh_$pW¨6¸ X¯d¤_Udgj±~$wdh~d9prXIlm_UdgjRUX`w=cbdh_Uf anpiWo$pypraedg_¤ae_ jyRUanp
(183) ~$lg~X`w
Documents relatifs
Dans chaque ville et pour toutes les lignes de tramway considérées, il faudrait disposer des trafics avant et après ouverture d’une ligne et de plusieurs projections d’évolution
Le fait d’écrire à partir d’une oeuvre d’art visuelle ressemble à une forme de contrainte; nous croyons par ailleurs que cette pratique a eu un effet durable sur l’écriture
variables d'ordre psychologique: soit f.amiliale ou personnelle, soit so- ciale, soit professionnelle, soit une combinaison de ces facteurs. Ce patient a récupéré
For the two coolest objects in Figure 3.6, HD 4539 and PG 1716+426, both at Ta < 27, 000 K, there is a good match between the predicted synthetic spectra and the FUSE data: the
lui inculquer le registre li'lquistioue, les l1abitudes alimen- taires et vestimentaires ainsi que le comportement des bour- geois de Québec. Pierrette Paul doit
La conciliation emploi-famille : des mesures à développer dans les milieux de travail Tableau 4 : Les dispositions favorisant la conciliation travailfamille dans les
Figure 2.4 Predicted (continuous lines) and observed values (filled circles: stands aged from trees with root collar; open circles: stands aged from trees without root collar)
Cette posture permet de dégager deux idées centrales : le poids des milieux professionnels locaux dans l’intermédiation et le transit des idées, modèles et pratiques
