• Aucun résultat trouvé

Direct Computation of Multi Valued Phase-Space Solutions for Hamilton-Jacobi Equations

N/A
N/A
Protected

Academic year: 2021

Partager "Direct Computation of Multi Valued Phase-Space Solutions for Hamilton-Jacobi Equations"

Copied!
49
0
0

Texte intégral

(1)Direct Computation of Multi Valued Phase-Space Solutions for Hamilton-Jacobi Equations Jean-David Benamou. To cite this version: Jean-David Benamou. Direct Computation of Multi Valued Phase-Space Solutions for HamiltonJacobi Equations. [Research Report] RR-3414, INRIA. 1998. �inria-00073276�. HAL Id: inria-00073276 https://hal.inria.fr/inria-00073276 Submitted on 24 May 2006. HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers.. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés..

(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. Direct Computation of Multi Valued Phase-Space Solutions for Hamilton-Jacobi Equations Jean-David Benamou. N ˚ 3414 Avril 1998 ` THEME 4. ISSN 0249-6399. apport de recherche.

(3)

(4) 

(5)        "!#$%'&)(*%,+-/.10%,2 03 4  %+56 879$: ; 3.=<>,2 ?A@CB3% D %+ EGFIH=J;K LHIMONQPSRFTJUHWVYXGZ\[ ]2^`ac_ bad| egfihjbl_ knmjo6pqhsrituap2rTvwpxhjbhjyzo6pxh{rTt a$yq}I€‚yqp a4r6bƒ„aa4py/ ~trib>| a4vny msana4y † o‡vWvWr  p | a  a4~ ^ a  ~ ^ aˆt$‰‡Š‡dW‹dŒeg'Ž  h{mD‹4T‡$e:di‘vwo‡’‡a4y 3“ ”;•4–—™˜wš‡–‡› ba4p ^ ^ r | h{y,zv   acyxactTpq| a |œ r Ÿ  p ^ a>anoT~pžo‡t | ~ribvwmsa4pxa  acyxrTm{kn^ pqhsritr ^ œ Ÿ oTbh{m{pxrTtwh{oTt pqyqr>}nyx’‡pqa4ap2b>p y^ rTatn ­m{}¡¬kw®¯yqhjyqtnr‡’%mjknp pqhsria¢t ~rœ  rTb°acyqv=p rT^ t a$~h{rtnq’  a4yzv=oTrTbt h{|m{pxhjrTtntn’ £¥¤i€ o‡¬~rT®/¦n± h;² a4§Ikwo‡pxh{rTtA¨ª© a>y r™©«p o6p,h{p,vWriyqyqhj¦nmsa. µ³ ´·q¶ ¸Q¹cº ·­¶ »;¼{¸¥½¥¾¿ ÈËxò4ÀÂÌÏÒiÙÁÄ×åÃ;ЄÅ1ΙÁµËÍƂÊ2ÇŒÉ Õ6È;ó;É ÌÏÎÑÊ'íôËÍÌõËcÌÏÎÑÙ ö{Јí ÒÑЈÓ=É ÔÏÕÑքÐxËÍÕiÇØ×;Ù ÚnÙÏÛxÜÝßÞÍàcÛqÝÍá5âiаãåäÑЄæQÎÑËxçèքЄÒÑÐêéTÇìëÑí¥ËÍÎÑքРÇCÐêîµÊ'ËÍÌÏÔðï ñÍÐxËÍÎcî. Unit´e de recherche INRIA Rocquencourt Domaine de Voluceau, Rocquencourt, BP 105, 78153 LE CHESNAY Cedex (France) T´el´ephone : 01 39 63 55 11 - International : +33 1 39 63 55 11 T´el´ecopie : (33) 01 39 63 53 30 - International : +33 1 39 63 53 30.

(6) $'A&' & +;  D %+  Í D  $4' '+5& x'+;%,2 &'+ *%,+;'+8Œ 5&'+' B3% D %+ &x79$ ; 3.=<,2 ? Ÿ o‡ b •

(7) h{ms pqrT tn h{›a4tw y2rT§Ikwkny‚h-v kn pxa4h{msyqhja4yqtia$pxkwritwtnyDhj§ikwkwtna4abb a4tia p2p ^ mr ac | §Iakwo6vWpqrihsrik t  mj| o Ÿ  o‡a4 byqr‡hsmjm{knpxpxrih{tIrT£êt¤ToTan~rToT¦w~pqhåa2~rap‚z ~acrTyqb>v=rTvnt m |a_ pqo‡a ti|pxa a­yq}nyxp a4_ bacy.

(8) 

(9)       !#"$ !&%'  (%. Š.   + )+*-, –4/— .&0

(10) ;š6–21. , 3 4657 98 (˜ :ôš

(11) ;:

(12) ;•<.>=@?w˜n—/1ô˜n–A1. , ˜ B;B;—.G˜wš 7 C D ²sF ‹D ² D EG hjrit tÑ| ƒxhjkntn’i’ o6pxp a,^ a,v=r‡anhjtip pq y'a4b>oTt o6| mjyyzkI²žH¢²,~h{²,a4ti²žp'²,~²rTt ²,| ²žh{pxh{²,rTtW²,y ²žœ r², ²žo>²,b²žh{²,tnhj²,bl²kWb ²,²ž²,²,²ž²ž²,²,²,²,²ž²ž²,²,²ž²ž²,²,²²²,²,²²  D ² Š ]2^ a,ŽÑo‡m{kwa œ kWtw~pqhsrito‡t | p ^ a Ÿ o‡bh{mspqrTtI£ê¤ToT~ri¦nhåa4§Ikwo6pqhsrit ²,²ž²,²ž²,²,²ž²,²ž²,²²,²‹2J KL57 0;1NM — , A– 1ô(˜ :PO .  –4— Q" ˜ BRB;/— .=˜Wš 7 )>) | œ | | 2 ] ^    ŠWŠW²s² D‹ V actnTa a S- hjo6~’ ~oTm{oTtnyq’‡yqhjhXo‡W=t ~o‡UpxSOh{a4rT’‡tacrt œ ~4h{o‡oTkwtyqpxyzhjkw~¦wy'b>²oT²,tn²žh rT²,m ²,²žoTt ²,²žh{pq²,y²žv ²,r‡²,ƒ„a4²~px²,h{rT²žt ²,²ž²ž²,²,²,²,²ž²ž²,²,²ž²ž²,²,²²²,²,²²‹T‹T‹‹ ŠWŠW²² dŠ ¬G kWapzyqo6vwh{y'msa h{| tipxyxa p   oTkw~~pqpqhskritwažy r œ ²žp ²,^ a$²ž~4²,kw²,yzv첞²,²,²²²,²,²ž²ž²,²,²,²,²ž²ž²,²,²ž²ž²,²,²ž²ž²,²,²,²,²²²,²,²ž²ž²,²,²ž²ž²,²,²,²,²ž²ž²,²,²ž²ž²,²,²²²,²,²²‹‹cŠD YZ57 \[T]_^ ˜ B;B-/— .G˜wš 7 )IK d=d=²s² DF ‹ `­]2^h{yza$~ri¦nyxh{h{~ pê^ }>o yx rTo‡m{~knpqpqa hsrih{twyqpxyDhj~r y‚œ1hjŸ tTo‡pqa b vh{mspqarTpqtIo‡£êpx¤ih{rTo‡~tðri¦n²žhW²,oTt²,| ²žp ²,^ a­²žrT²,vn²žpqh{²,b>²,o‡m=²~²,riti²žp ²,r‡²žmW~ ²,^ ²,o  ²žoT~²,pqa²ž ²,Xh ac²o6px²,h{rT²t‹4‹4dd d=d=²² dŠ  ìD p £Q ¬Øo‡tW¬yqv=h  r hj~ p‚^ m{aca§Ip Ukwo6pqachskwritb>o‡œ r tw t%~voTkwrTyx¦npqh{m{~ a4bg| a4px²žac~²,pxh{²,rTt²ž²,²ž²ž²,²,²ž²ž²,²,²,²,²²²,²,²ž²ž²,²,²ž²ž²,²,²,²,²ž²ž²,²,²ž²ž²,²,²²²,²,²²2‹2‹ bb d=² ‘ kwpx’‡rTh{tw’dc/rikwt | o  }¢~rTt | h{pxh{rTtWy ²²,²ž²,²,²ž²,²ž²,²ž²,²,²²,²ž²,²ž²,²,²ž²,²ž²,²²,²‹/e 3Zf B;:1Ė4A– 1 , OŒ– 7 

(13) R:ªA– 1?w˜ :

(14) 0¯2• .>:

(15) O2– 1. , )IC | ^ ‘w‘w²s² D‹ fnfIh{btnrI’iknrTpmjo  yxyqhjh{tntn’T’TmsmsažažŽ™Ž™o6o6mjmjknkna a | yqyqr‡r‡mjmjknknpxpqh{hsrTrit«t3²,©2h{²p ^ ²,y²ž^ ²,rnh~ ²,gi²žy‚²,²,²ž²ž²,²,²ž²ž²,²,²,²,²²²,²,²ž²ž²,²,²ž²ž²,²,²,²,²ž²ž²,²,²ž²ž²,²,²²²,²,²²‹c‹c ‘w² Šji knmspqhOŽ™o6mjkna | yqr‡mjknpxh{rTt ²,²ž²,²,²ž²,²²,²ž²,²,²ž²,²ž²,²ž²,²,²²,²ž²,²ž²,²,²ž²,²ž²,²²,²‹c • 1 mB:  , –c˜nA– 1. , kL57 ˜

(16) -A– . "˜n2– 1ªš%(˜ :O>.=/— 1Ė 7  (˜ :O>.=/— 1Ė 7  ˜ , 0l1Ėc< 4n) bW²s‹ ]2^ a$yxhjtn’‡m{ažŽ™o6mjkna | vwo  p첞²,²,²ž²,²²,²ž²,²,²ž²,²ž²,²ž²,²,²²,²ž²,²ž²,²,²ž²,²ž²,²²,² D ‹ bW² D ]2^ a<op«¦  o‡tw~ ^ a4yrqUo œ  a4a,¦Wrikwt | o  }3v  ri¦nmsacb ²,²ž²,²,²²,²ž²,²ž²,²,²ž²,²ž²,²²,² D ‹ bW² Š ]2^  a srp«¦  o‡tw~ ^ ²ž²,²ž²,²ž²,²,²ž²,²²,²ž²,²,²ž²,²ž²,²ž²,²,²²,²ž²,²ž²,²,²ž²,²ž²,²²,² DtD bW² d ‹£Q¬#p  a4o6pzba4tip/r œ p ^ a œ  aa$¦=rTkwt | o  }3v  rT¦nm{a4b ²ž²,²ž²,²,²²,²ž²,²ž²,²,²ž²,²ž²,²²,² DtD bW² ‘ ]2^ a$o6m{’‡r  h{p ^ b œ r  blknm{pxhjvnm{al~kwyzvwy°²,²ž²,²,²ž²,²ž²,²ž²,²,²²,²ž²,²ž²,²,²ž²,²ž²,²²,² D Š uZv , —™(˜ :1wT˜nA– 1. , • 4(Y Ÿ  V D en²s‹ c a n t a 6 o { m #h a4o6pqhsrit3pqr £¥¬ o‡bh{mspqrTtI£ê¤io‡~ri¦nhåa4§Ikwo‡pxh{rTtwyS²,²,²²,²ž²,²ž²,²,²ž²,²ž²,²²,² D d D en² ­vwvnm{h{~4o6pqhsritpqr yq~4o6mjo  ~ritwyxa  Ž™o‡pxh{rTt¢mjoÑ©'y,²,²ž²,²ž²,²ž²,²,²²,²ž²,²ž²,²,²ž²,²ž²,²²,² D ‘ en² Š † a-xWac~pxh{rTtWy/²²,²,²ž²,²ž²,²ž²,²,²ž²,²²,²ž²,²,²ž²,²ž²,²ž²,²,²²,²ž²,²ž²,²,²ž²,²ž²,²²,² D ‘ en² d f ^ rnh~ g¢o‡t | ~4o‡kwyqpxhj~ | apqa4~pqhsri t qUo‡tuo6m{’‡r  h{p ^ bhj~­~m{oTyqyqyh WG~o6pqhsrit3r œ ¦  o‡tW~ ^ a4y ²,²²,² D ‘. Å-Å5Î{z4á|ÑÛ|.

(17) d. $  />" A  '  . “ BRB:]21ôš‡^ ˜n–21D . , –A.  O .  –—/1ªšT˜(: .>B;–A1ªšT• 4k WW²s² D‹ ØvWa o  £¥™o ¬«nh{o‡v m ri ac¦nyxm{p a4 b)hj~pqhs²,rit3²ž²,rit ²ž ²,oÑ}n²,y첞²,²,²²²,²,²ž²ž²,²,²,²,²ž²ž²,²,²ž²ž²,²,²ž²ž²,²,²,²,²²²,²,²ž²ž²,²,²ž²ž²,²,²,²,²ž²ž²,²,²ž²ž²,²,²²²,²,²² DD be WW²² dŠ S-h{kwt bg¢a ©2 h{h{~4p o6^ m`pqa4ayqm{pmsa  £

(18) ²ži¡²,oT²žyxm{r™²,Ž>²žp ²,^ a4²,r ²ž }°²,²²²,²,²ž²ž²,²,²,²,²ž²ž²,²,²ž²ž²,²,²ž²ž²,²,²,²,²²²,²,²ž²ž²,²,²ž²ž²,²,²,²,²ž²ž²,²,²ž²ž²,²,²²²,²,²² DD e 4 8 . , tš :

(19) ;A• 1. , A+O 5 l  + ‹ ]G hjkWbyqvŒa,a¨ ŽTr‡,mjknyxhjpxtnh{rT’itknm{r o œ  h{p pê^ }Wa,± ’Ta²žrTb²,²,a4p ²ž h{~ž²,yq²r‡²,mjkn²žpxh{²,rTt¯²,²ž²ž²,²,²ž²ž²,²,²ž²ž²,²,²,²,²²²,²,²ž²ž²,²,²ž²ž²,²,²,²,²ž²ž²,²,²ž²ž²,²,²²²,²,²8²8Š‡ŠTdŠ D Šd GfIh{kWtnyq’ivwkny'mjo h{tipxyqa r‡ mjoTkn~pxpqh{hsrTrit twy ¨ª©2h{²žp ^ ²,gi²žh{t ²,gn²,± ²ž²,²,²²²,²,²ž²ž²,²,²,²,²ž²ž²,²,²ž²ž²,²,²ž²ž²,²,²,²,²²²,²,²ž²ž²,²,²ž²ž²,²,²,²,²ž²ž²,²,²ž²ž²,²,²²²,²,²8²8ŠitŠ b‘ ‘b ¬fnvnrTmsb>h{pxhjo‡tnh{’twy/r rœ œp ^| a$-a W=bltnknh{pxm{h{pxrThOtuŽÑo‡r m{œ kwp a ^ | a$yx¦ rT m{kwo‡twpxh{~ rT^ t)acy ²,r²,p ²ž²,²,²ž²ž²,²,²ž²ž²,²,²,²,²²²,²,²ž²ž²,²,²ž²ž²,²,²,²,²ž²ž²,²,²ž²ž²,²,²²²,²,²8²8ŠTŠIe e E  a4a$¦Wrikwt | o  } | apxac~pqhsrit°²,²,²ž²,²²,²ž²,²,²ž²,²ž²,²ž²,²,²²,²ž²,²ž²,²,²ž²,²ž²,²²,²8ŠT  c/fnvWhj~ a4^ a o|  o‡~pxa ², hj²yxpq²,h{~4²,y‚²ž~4k ², Ž‡²ža4²,y ²ž²,²,²,²,²ž²ž²,²,²²²,²,²ž²ž²,²,²,²,²ž²ž²,²,²ž²ž²,²,²ž²ž²,²,²,²,²²²,²,²ž²ž²,²,²ž²ž²,²,²,²,²ž²ž²,²,²ž²ž²,²,²²²,²,²² dd=J‹ 2‹ J Eh  yqp'~kWyqv`²O²²,²,²ž²,²ž²,²ž²,²,²ž²,²²,²ž²,²,²ž²,²ž²,²ž²,²,²²,²ž²,²ž²,²,²ž²,²ž²,²²,² d D ‹T‹ D‹ fIV a4a4~rTribt |ap ~ hjkw~žyzvblkn²,m{px²,hO²žŽÑo‡²,m{kw²ža ²,| ²žyxrT²,m{kw²,pxh{²žrTt²,²²²,²,²ž²ž²,²,²,²,²ž²ž²,²,²ž²ž²,²,²ž²ž²,²,²,²,²²²,²,²ž²ž²,²,²ž²ž²,²,²,²,²ž²ž²,²,²ž²ž²,²,²²²,²,²² didTdŠ ‹cŠ G rib>vwo  h{yqrTt3r œ p ^ a$v ^ o‡yqa,o6p D ‘n²²,²,²ž²,²ž²,²ž²,²,²²,²ž²,²ž²,²,²ž²,²ž²,²²,² dTd C. . . . .

(20) .  . . . . . ÁÄÃ;Å1ÁµÆ.

(21) ‘. 

(22)       !#"$ !&%'  (%.   3&%   | a4a3v=a4o t ^% | a ac hjtitip,pxa ‹ £¥a4¬ yqpxŸa | oTbh{t"h{m{pxp rT^ tna £¥¤io‡ ~ rT-¦n hå~a4ri§Ib>kwo‡vwpxknh{pqrTo‡tŒpxh{¨rTt rc¨œ d Ñ  ± | a4twr‡px acy2 (p ^ /%'a$-vw"

(23) %

(24) o ( pxhjo6 m yx| rTh m{åkna pq hsria4titwpxy,hjo6r pqœ hsripqth{br a œ ¢©2h{p a4yzvWac~p/pxr 4± q ¨ `± s ¨ ¨ `±x± J T¨ å± ¨ `± ¨x‹Ñ± ¨ ¨ å± `± ¨ `±  acyq~  hj¦=a | rit¯œ p ^ a ~k |  Ž‡a | G oTkw~ ^ } | o6pqo 'hjtðp ^ a œ r  b r œ oA~rTtipqh{tIknrikwy œ kwtW~pxh{rTt  j h u y v ^ ^ ^   2 ] ^   hjkWit3v¨ yqpqa4r~px¨ hsh{åpzrT±qy$t ± yqd=a4² ~‘wri² t ]2| ^ vwa o ©œ  kwpxtWhjo6hj~~ m pxh{| rThja t y  h{S-Ž™h{o6vw¨ pqyzhsŽT~ a4y,h{åp ao‡±t hjy |a’i~4yqkno6p mjm{ omsh{a ~| ²pxm{}Ÿ oT~barTtihsm{Ž‡acpxayxrip¡tnh{hjo‡oT~tpqt`hs| ²rituê~p‚rIpxhjary/ ~o3o‡hsyzŽTyqyqakwkW¦WbhjtŒyxaa4|p'hspzy,rpxr>mjo‡C¦=yqaphjy ~Ž™rTo ti hjhjpxyqo‡hj~4tI¦nkwknm{yza rTyxakw1y ² ]2^ a   %'-"

(25) %

(26) (  yxrTm{kwpxh{rTtŒr œ p ^ h{yla4§Ikwo6pqhsrit h{y | -a WGtna | kwyqhjtn’p ^ a3~r q a4yzvWrit | hjtn’ Ÿ oTbh{m{pxrTtwh{oTt yq}nyxpqa4b q å¨ ± I¨ å¨ ± 1¨ ±x± 1¨ ± o i¨ G¨ ± 1¨ ±x± ¨D ± ¨ ± 1¨ ± I¨ å¨ ± 1¨ ±x± o ¨ å¨ ± 1¨ ±x± å¨ ¨ ± ± O¨ ¨ ± ± ¨ ± ¨ J ± ¨ ± œ ]2^ | | œ  |  ^ |  oTt ¨| aå± ’Thsr‡ŽTpayxo pz|Wo‡|t¨ hspqy hs±qri±Ítwr² o6m/]2pq~^h{ribh{tya | yqh{}Ipxah{yqrTpxtwachsŽ™b yo6pqrThsr triœ t ­¨ ¬± ®‚y$o‡’Tt a4| tna ²  o‡pxh{actAauy yx~acœrTr~bpq hsa¢rio6t m{¦wm oTD h~ ²{g‹¡ri¨ôh{t t p p^ a ¦wa%h{~ yx^ ahjb>pxo a  vnoTbm{~a pqhja tw o6h{pqyqhspxrihj~ t J yxr ~p o‡hjyqvwa y ]2¨ å^ ¨ ažv  r‡± ƒ„a41~¨ pqhsritwy/±xr ±,œ msp}I^ hjtna$’yqp h{t hjvwv y/^ rTo‡tiyqpxar £êyqvWo‡~a q å¨ ± o  oTa,t ~| o‡ms| m{aac|vWac¦nt hj| ~ ^hjtno ’¡ o‡~~ripxtia pxhjhjtiyxpqkwh{~rTkw~yqk ms}¡ Ž‡acrTyt ² ,o‡t | ² |  ^  |  œ  yzvwoT~­aÑt¯± p h{ b>oTtwv=yqr v=pqr o‡ tipxa p¢| §I¦ikw}3oTtT¦wpqh{hs~ pê^ }Ao h{y¢o‡pxp a  ahjyxpqr h{~4yh{a4tiq pxa baco‡yzk aur oTtYh{It WGtnhspqa4yqh{b>o‡m­o a4oY¨ôh{tYpxhjba¡o‡t ¨ å¨ ±x± G¨ ± å¨ ± ¨ ± ¨ôŠi± ­y/msritn’ o‡ry q ¨ å¨ ± J ¨ªdI± |   ^ ^      hjv=yrTyztnyqrTh{¦nt m{aža4a pxr¢r¡~o6rTm{twrTyqtnp ’  kwo¡~p2~o>k yzŽTba rIårT¨ p ^ œ kwtw± D~pqp hsria%t ¦nh{¨~ o `±‚o‡h{~t%pqa o>h{yqtnpxa4hjhsd~ ’ ^WW¦=a4mr z^ rIa4r b>| o‡rh{twœ ylp ^ msrnh{y~4o6~m{k ms}  Ž‡a,a’Tyzkwkw~ m{o^ p² ^ êo6pTp h{q y ͨ å± s ¨ w¨ å±q± J ¨ å¨ ±q± O¨ ± ¨Q‘T± ¨ G¨ ±x± ¨ ± ¨ ± q ¨ ¨ ± ± ¨ ± Å-Å5{Î z4á |ÑÛ | .  . . . . 

(27)  . . . .

(28) !. . 8. =. . : !. . !$%. #". :.

(29) !. . &('*),+. .- ! 0/21435166798. :. <;. . 0>?A@BC/21. F=. ED. - :IJ8. :. D. . HG. KL/M10;. 1. !NO. 5". (P. QO. . . RSS SS S. =. N YXZ. =. ["\

(30) ] *X $N YXZ. YO. =. *X $. SS = = = O *X $  ^"\

(31) _ YXZ$N *XZ YO YXZ$ T SS S UW V = =  = = 9O *X $ "\

(32) ] *X $N YXZ !O *XZ ` YXZ V = = = = = = = N 8 : $ a  O 8 : b $ 9O   V. . O. =. =. . N YXZ. =. . =. !O.

(33) :. *XZ. =. d!j. r. N YXZ. =. _. pstX0u\sZN *XZ. =. zN YXZ. :. =. *XZ. !0>?A@c. o. =. . SS. {

(34). . T SS SU. !$. =. wv. =. :N YXZ$. {

(35) *XZN YXZ. . { YXZ$N *XZ. . { 8. :. . =. !. =. =. 9O YXZ. =. . . . `. YXZ. = . =. =. . =. =. D. N *X $  =. =. stXKuksZ. =. . . y x. ,P. !% {

(36) !$. #". . /51. . D. RSS S. =. /p16D. ].  |{ !. SS. =. O. v. r. =. . !O. k8ml. 3M1 = qN YXZ. _. =. nD. 1. 1. E. `. =. ". V. =. *XZN YXZ. . edgfh i. D(8. L". . E. !~}Z)bs. !o>?A@X€7#8. :. =. !~'*)OE}‚@ ƒ' !„ }‚@. =.

(37) $  />" A  '   b. ]2^ ^ h{y  a4yzknmsœp‚ƒxkwyqpxhXWWa4yžmjo‡¦=| am{hjtn^ ’uyqr‡mjknpqhsritwyr œ ¨ D ±­o‡yv ^ oTyxa£¥yzvwo‡~ayqr‡mjknpxh{rTtWy­r œ | ¨x‹™±Í²  r‡pqap ^ o6p 1hjt p a$~oTyxar yqh{tn’TmsažŽ™o6mjkna v o‡yqa,yqvwoT~a,yqr‡mjknpxh{rTtwy¨q‹Ñ±‚hjy2a4§Iknh{Ž™o6m{a4tip/pxr¨Q‘i±‚o‡t ² | 2 | ^ € ^ ^ a c2 o‡o ms #h a6t ad | aœ rp ^  a4a4o,r oT~yx} ririb>twr o‡œv ¦w Amsa a ^ % a4tW}n%hyxv= h{r‡ Ž‡pa %h a4a yq ŽIh{y hsa4nX_© hsp /r hj /y2œ yzo6kwm{© ~ ^ oÑyx}nrTby m{kwav=ppxrT^h{rTyzr tyq| h{¦nyÍa±m{Ia² hjyqêpxpqp r y h{yxyUœ rTr ~ms ŽTrTab>yzkwvn~ h m{^ a4a4b~acpqa4§imsti}kWpqo6ap px| h{rTa ¦itW}y¢¬ož¨ôyq®\mjao a ¨q’‡‹Ña2±G ²UtIS;\kw‡blŠ ’T/¦=a4rtIa £ r a œ œ tIa qkw ba | a  pxh{r~4o6oTm=y yqpqk  | {hsac y/v % ri(vW'ri yxhjtn-% ’l¨ yqpq ,oTfI¦nTm{a  W=tn†Dh{px] a T|  h Ga fI aacpqtwt ~b acy Ifr `ž W=f tw] hs‡pqa­d a4ms­acb¦n’Tactit pqb y ª±Íyq² ~ ]2^ ac^ bhjy‚a4pqy a ~ rTbb>h{tnbrTrTmsrTtw’‡ms}} abwa4v p  ^ acr yq|y‚y;p ^ hjy-apqh r­| acpzoolg‡p a ^ hjo6tTp pqnr­mshoTg6~a ~riœ r kw tip-^ }Ip ^v=aa  ¦= r‡{m{h{ ~~ rihjtwt yxœ ra  Ž™b>o‡o6pxh{pqrThsrit t$mjoÑ~©'o qy  Ihsa p |^ a­¦i},acyqp yq^ a4a/tipq¦nh{o‡hj~ mG^ hjotn ’ o‡ ~a px| a hs achjtiyxpqp‚h{~4r yUœ ¨ªp a4^ Ž‡acacyxt a p© ^ arTrikw¦n’ pq^ o‡ph{t^ ao } %ho  aXtnrTp‚ ~rib> vwknpxWWa a| m ±Í| ² ² „œ t¢¦wph{~ ^ ^ h{y/o  ~4oTo‡~yqpqa a I ph{yq^ pxahj~2ŽI~h{yzk ~ riŽ‡yxach{ypê} | ryxrTtnm{kwr‡pxp h{rT~ t rTr yzœyD¨xh{t3‹™±UvWb>riyxo6h{pzpx~h{rT^ t¢a4y yzvwp ^ oTa~a ~m{oTy„£ yq~ hj ~rio6yqmDy ± yqGr‡pmjkn^ pxa>h{rT~t1m{oT² yqyqhj~^o6acm;tŒyxrTp m{^kwapxh{rTv t¡^ oT¦ yx aac£¥o yzvwgIyoT~| a>r™©'yxrTt m{kno‡pqhst ri| tp r ^ œ a ¨ yqD h{±­tn’Th{y,msabŽ™kno6m{mjpxknhDa Ž™| o6Žimjknhjyza ~| rTyq¨ªh{hQpê² a‡}%² yqr‡¦nmjhjkn~ ^pqhso ri t o‡~| pxaa ŽT ahjyxm{pqrTh{vw~4yy yqv hj^ tno‡’Tyqknamj£êo yq vWh{pxo‡h{~a4a­y4² yxrT]2m{kn^ pqauhsritw§Iy knackWyxyxpqhjhstnri’ t"| r h œ a4© ~p ^ aa4p yq^ r‡a mj knpxr h{rTt¢tnrTr pœ p h{^ pa h{y € ¬­v=rT®Yyzyxo hj¦n h{m{yqa3a­pqtwrŒo‡pq~k rT b>o6m{vwm{}‡kn²pqau„t¢p ^ r‡a%p ^ bla  kn© m{pxrh2 Ž™| o6y mjTkn©‚a | a ©/o‡tip/p ^ a$yxrTm{knpqhsrit3r œ ¨ D ±‚©2h{p ^ riknp'kwyqh{tn’>p ^ a ­¬­®  ( /%-'"

(38) %

(39)   pxac~ ^ tnhj§Ikna‡² ]2^  ^  ^  ^ oToTvwvwvnv m{ h{rT~4oTo6hj~ylpq^hsriv twh{y>riy,¦npqhjmstrŒacb ^v hs ’ r™^ ŽIoThy$|œ  a¦Waca4§i| a4kwht a4a4twoT~~tŒpx}¡m{}"oT©/~p oÑpq^ hsŽ‡ŽTaa a yqbr‡a4mjr knyq| a4pxoah{rTm{h{t~ tn’ yzœ kwr ri¦I t ƒ„’Ta4o ~ap,rT v a4h{tŒ^’T}nkn’Tyqmjoah{~4rT yb² ’ a4 ]2hp | ^ h{~4a3yzo6vwomDo‡| rTtwŽÑvwtwoTpxh{titnhj~pq’Œy,o6’Tp©2a>^ h{a p r œ | prTv=^ b>r‡a pqo6a4€hjtit"px¬­hjro6® œm hjrititpxa p  ^ aca>yxp4y ²­^ oTvWœaaco6r pzœ k p  ^ aa tn¦nr‡h{p~ ^ y ^o o o‡ ~a pq| a  ¦ih{}%yqpxhjp ~^ y4a ² ­S-r™¬­© ®C| o‡acvwtwv yxh{pêrT} oT~ a^ ritnœ ra4y ©  ac^ o‡h{~ ~ ^ ^ a p | ^ a ¦i } aœh{ay©#tnr¦nhjo3~ ^ v o   h{oTr ~ h-pxa ~ rThjyqtipxp hj ~r‡y m Ÿ  ^ €      ^  | %  #   mjpo kn^ pqaažhsrivw¦nt`h{o ~ ² ^ pxG ohj~rT kno‡timj~Ž‡o pqa a m{ }yqh{ayqvm{px}$hj~rTp y4¦n^ ² m{aža4êp/b> ­hjo‡¬y px®©‚hj~6r ² o‡ vwp ^v r™ ©‚brio‡a4a4Ž‡~ ti^a pxh{~rTwritnp bhjtna vW’knp px¬^ aco‡yU®Sp p ^ po‡^a vwažv dv ri  o‡rn ~ R~a4yz rTy tnr m{œ}  v ac ~r™r™ ŽiŽT%'ha - "

(40) alh{%

(41) tn(o’, p ^ ažyxrTblm{kwknpxm{h{pxrTh`t Ž™o6o6m{mjrTknyqtwa r6|’ £    |,œ  ^  ( %''"

(42) %

(43)    ^ |  mjyqo o6r‡pq€ mjhsknri¬pqths®Urio‡£êtl¦wt rio‡| tyqa yxo |r  bpqah{’Ttnakwp’ ^m{o pqr a4| ~ ’ ^ o‡twh¦wh{ms§Ia­knpxrTacrlb#yl~¨ rTp SRb>aS vwŸ knpqt ab p ^ abG knms6pq ­d h=¬Ž™o‡` ® m{knyqVa r‡| ‡mjknŠyqpqr‡ªhs±Ímjri²knt pxŸ h{rTacat twm{hs~acœ ra$y rTp yz^to‡alyxbrihjtia'v pxr a hj yxacpqm{yxr™h{~4p­©‚o6h{apqt a |~ria4h{tiyxyqp‚hspx’ia p tn^ v=h{oTtwr6t’ £ atwnh{§Ih{yqknpxa,hjtnyz’ kw~ ­^ ¬o>®Ub£ê¦wh{’o‡yqao6|pxh{rTbt3ar p ^ r hjtT| ŽT²%a  fIyxkwh{rT~ t¡^ ¨ oV bc2a‡p Š^ r | fwfI~‡oTd\t WGc t V| i| ‘ h  ac~c/p$a}no‡TvW‘ vnªms±Íhj~² o‡]2pxh{^ rTa,t m{hjh{(tt g¢hjb>¦=ao6pê’T© h{tnaa4’%t pqa4W ~  ^ yxp£ oyqr‡qmj knh{ŽÑpqo‡hsrimWt p  © oюToTayms£Qtwpqh{r‡bpxhja~a oT| t | hjtkwvi¨ ©2`hjht | | T ŽIªhj±$yq~oTrTt yqhs| pê}>oTyxyqrTyqa4m{kwyzyxpxah{rT| t¢h{rtSœ ¨p ^ ] afI® w‹h g6ıri² two6]2m-^ ¨ Ÿ a4t o‡Ubyqhsam{pxŽTria tI o6£ê¤Tm oT€ ~¬rT¦w®UhW£êa4¦w§Io‡kwyqo‡a px| h{rTo‡t=m ±£ ’TvWro‡v=hsap ^ b5o  a'©‚~a rT twatnv ac ~ripqvWa |riyxpxa r | px® r ED a4T~r™‘ ŽTTa ©  ap ^ ba a4tipq hsri t p/^ /aym{ hjt(glyqr‡hjtmjknpxyqh{a4rT~t pqhsriqt fieIrT² bD Iaenh ² |Š a4‡o‡p y^ a'v h | a4a4yqa4titipxhXpxW=a ~4| o6pxhjth{rTt>p ^ r h{y œ phjt ^ a c/| a4h Gtwat b actipfi¦ }n o‡b>tw ~ b ^ 1acvy  r riœ vWp ri^ yxa$acyUbpqknrm{pxyqhOr Ž™p‚o‡m{o kn| a ƒx| o‡~yxa4rTtim{p knpqm{hsrnri~t%o6mGo‡ŽIy h{yzx~m{rnri~yxh{o‡pêm } yxŽIrTh{m{yzkw~pxrih{yxrTh{t pê}3©2yqh{r‡p mj^ knpxyxh{a4rTmsact~©/pqa o‡| y2yqyqrTpqk k  | ~h{aca y | o‡¦=m{a yqruœ rih{kwt t r |  | h{t a  c/pxr a4tw I a4~e r™¥²Ž‡a   bl| hkwåmsapqhD a4ŽÑtio‡p$m{kwo‡a vw| v yxrirTo‡m{kn~ pq^ hsri¦wtwo‡y4yq²a |  rTvwt o  o pxhjgio6h{mDtwoTatwpxhjo6~ m{}nœ yxr hj ybr knœ m{o‡p ^pxh{a4rTyqt a ro6œm{’‡p r ^  a¢h{p ^ v b> riy¦nm{~a4oTb t oT at mj|o6pq~a o‡| msm{©‚a | r  p gI^ yžalp b }IrThjbtn’%a4tipxp'rb~riavWp ^ a r ©2| h{p^ ^ o‡y'p ^ ¦=a aac| thXH¢vwk~kn yqm{pxkwh{aa4|yh{o‡t yzyxrnc@~S-hjo6t pqb a | ® ©2† hsp i^ ‘ QblP² knEm{h{pxtwh o‡ŽÑmso‡m{}um{kwmsa a4| pkwp  y'oÑbŽ‡a4a4m £¥tipxpqhjhsbrit a D. . . . {. D. . n. . . . . . . P. . n.

(44) .  .  .  .  . D. . nD. qP. . . c1(_D. (P. D. . D. P. &. nD. Z. . D. . D. . . %P. &. Z.  .

(45) . . . . . .  yP. . . . . ". . D. D. .  !. . *D. . . . . . . . nD. . #. . . ÁÄÃ;Å1ÁµÆ. D.

(46) 

(47)       !#"$ !&%'  (% e. =am | yrq ®PE vWa  ¥² | ^ ]2^ | œ ^  ^ ^ yqbr‡knmjknm{pxpqhDhsriŽ™atwo6yUhmjknr a4a œ o| ¨x‹Ñryq±Ur‡mjkwpknyqpxh{hjh{tnyrT’t vw~oTo‡rivWy t a |€ h{¬pxhjh{ylrT®Ut%p£êyx¨ªrTo6dnm{plkw±Í² pxp h{rTautwa­y­blo ©2kn ahsm{p px^~h rTŽ™otwo6| yqmjh£kn| ^ a a rn ~h{twv ¦=’,rTo‡a4kwyqo‡t a~ |£ê^ yqo vWr o‡}œ ~p a o‡^ t ayq| r‡| mjknhjh Gtnpxhsh{a pqrT h{taco‡timU~4p‚~o‡ri¦ t t o‡| ¦=twh{apx~ h{^ rTyza4vntwyUm{y4hs²pr œ ]2h{tip ^^ pxraa bb>a4oTptn^ h œr rT| m |  yUao‡m{h{yza4yxyrn~rTh{t"o‡pxpa ^ | a%pqTr ’‡acW tn a yxpDh{~3r  ~| mja o‡ yzyxŸ Xh W=oT~bo‡pxhsm{h{pxrTrit tI£¥r ¤iœ o‡yq~h{rTtn¦n’ihnknacmj§Io kw hso6pqpqhsachsriyltwr y2œ ¨ S- o‡V ’  o‡`tn’T h{b oTt>UacS-kwa‡’‡Š acÄt ± |²  h{oTat¡y yz^ kwr™¦I© £ pyq^hjtno6’Tp kn‚mjo¦woTh{yxpxa h{a4| y­ri’‡t"h{Žihjp tn^ ’ h{y> ’Th{yqa4atnapqr hj~ud§i kW o6 @m{hspz o6pxh{Ž‡auyxhjtrTœm{knr pqhsb>ritwo6pxyžh{rTo‡t t  | h{p thj y >v= /rT yz yx/hj-¦n m{a’Tpqa4r tna   o‡

(48) pxa> o6 m{ mD ¦  oT tw~ | ^ aacpxy­ac~r p œ p ^ a$yqr‡mjknpxh{rTt`² œ ^   f¦wIa4h{~ ~^ pq ohsri t’ToToT~Dpqtna Xh acq h{o6yqpq]2pxhshjri^~t¢y­a%~r v o‡ t¡rTp ¦np a$m{^ a4acvWbt¡o‡v=¦=hjy a a> h{a q tiœ pxr a   blv kn a4mjo6pxa pq|a | o‡hjy­t anp ^p  a a4b>œ  oTo‡m{by­a4r ©‚œ r o gŒm{a4ro‡œyqpž~o‡o‡~m{~4pqknhsrim{kWtylv r  œh{tWŽ™~ohjvn h{msaTo‡px² h{rT]2t`^ ² a ]2| hj^ y„a £ pq]2h{tW^ ~a pxh{ŽÑrTo‡t m{kw¦=a apêœ © kWtwa~acpqt hsribt h{tnpqohjb>g‡a4o,tŒo‡¦it }¡| rTp ^ p ^ a¢a o‡ ~pêpq}nhsrivWt ar o‡œ msriatnn’%p  pa4^b>a¢o‡¦wm{y h{~  ^ am{o }l oTri~t>pqa p  ^ h{ayqpxtwhj~r‡yžpxh{yqrTr‡tm{Ž‡r a4œ yž~p rT^ tÑa ƒxkwd’To6 pqa'  @vW/rT /h{tipzy ² Ÿ o‡bh{mspqrTtI£ê¤ToT~ri¦n håa4§Ikwo6pqhs^ rit`² |    ^ ^  ^ œ  ¦h{wfIpxa4h{h{~ a4~^ ypqohsrir  tœoT~p <Š pq^ a aq  h{vyqpx ahjr6~ƒ„y2aca4~yzŽivwpqh{hsao‡ri©¯ttpo r œ S-a p o6^ ’ hhjåyžoTa btna4’‡oTtihjtno‡pxhthjœ o6r‡Um=SOm |’‡a4a’‡ririactTbt pq|arp v=h{oT}rTt yqoThsyqvwpqkwhsv ri¦Wt rTboTyzoT~ vwtnoTh œ~pqr‡arlm | p h{at1v ~4v o6^ rTm{o‡ms¦na yqm{| aa4£êbuyq~4vWo‡² o‡kw„~yqt>aTpxhj²p ~y]2hj`y ^ ’‡ah{Ž‡oTyqa h{btn ’ia4hj©‚yxknamjr o px rg £ d     œ œ ^   f~4Io‡a4t~pqhs¦Wriažt~ d^ o q  o‡~yxpxrTa a m{kw  h#a4pxah{ŽIa rThs| twa4©Øy kwryqph{tn^ ¨x’a ‹™|±Í€ ²Ua4¬pxìa ®U £ê’Tbo‡a4vwh{tntwv a h{yqhjripx~žhjo‡~~~^rimjo‡vnyz¦wpxyxo‡hjXh b>W=yqa ~o6| o‡m`px~rTh{rTritt3tiŽIp r  hjr‡yq~mGp rTp yq^ a4hspêa4yq}a$r  yqyq}‡h{r‡²tnmj’iknknpxh{a,mjrTo two‡hsy4m{pêyq² } r`hjy y'^hjyqr™oÑ~Ž™©ðrTo6yqh{h{hsm{p pêoT}hj¦ny/m{yqa‡r‡vW² mjriknyqpxyqh{hjrT¦ntwmsay pqfIr a4~| pqa hsri h{t¢Ž‡a­d‘ o q € ¬a®"v  © r™ŽI^ hhj|~ ^ a'Iož© p ^ ^ a4a4t3r  ~arTpxkWhj~vno‡msm™a ƒx| kwpxyqrpxXh W=¨x~‹™o‡±Dpx~h{oTrTtt>¦Wr œažp kw^ yqaa |yzvnpqm{rlhspqpxm{rIhjtn~4’$o6pqr a­œ ~p oT^ kwayqblpxhj2~kwU™mspq~h=rTŽ™tÑo6ƒxkwmjkn’Ta o6| pqa'yqr‡vWmjrTknh{pqtihsripzyt ² hjp ti^ pxa­r~ ŽI^ h{o yz~o‡ri~yxpqh{pêa } Xh acyqr‡o6mjpqknhsripqhstritw¦=y r‡p r ^ œ r ¨q‹Ñœ ±Íp ² ^ ]2a­^bhjy knmsh{pqy/h=¦wŽ™oTo‡yxm{kna |a | riyqt¢r‡mjp kn^ pxa­h{rT’Tt>a4tnhjt¢a  yqhj~a4~~pqm{hsoTriyqt yqhyDWG~oTo6t pq| hsript ^ raœ ŽIyxh{acyz~~pxrih{yxrTh{tpê}Šlyqr‡oTmjt kn| pqhsriritt hjfIt%a4~yxpqachs~ripqt\hsrib9t3qd=² | acyq~  hj¦=a4y­p ^ a ~r  ar œ rik  o6m{’‡r  h{p ^ b o‡t | h{pqyžtIkwba  h{~4o6m;h{b>vnm{a4ba4tipzo6pxh{rTt1² aaI£ vwfIm{a4o‡~h{pqt hsri^ t r™e©Sq h{p'~aoTt%| hj¦Wyqa$~4kwkwyqyqya vW| rT pxa4a4~tik pqh{o‡yqhsm`ŽT’‡aa4m{} twa px r>o6m{p Xh  aca4o6o‡pxp/h{rTp tW^ y a,oT’Tt a4| tna rT v=o‡a4m1t%~o‡v yq a‡rT² ¦nm{a4b>y4² |  |    ^ |  pqfIhsa4ri~tpqhsritq  G riq tw~mja$kwyqo‡hsvwrivwt`ms² }rTk bap r pxr>’‡a4rTbap hj~o‡mGrivnpxhj~y2oTt v r™Žih ažtIkwba h{~4o6m a4yzknmspzy² fiac~ £  a4yzknfim{acp'~hjpqthsriyxt ac~^ D pqhsripxtr"| ‘d"o‡o |t  |aœ ppq^r a¦Wtia kWb~rTa tW yxhjh~| o‡| a m- o‡a ms| ’Tr o‡ yhsp ^v b | am{hjh{tb hjyqtwa4o~pqhshsacriyt ^ tnbwa² a ]2| a ^ | a4|yqpqalr v kw at m{|h{ba  hjyxtwpzo o‡ t } |  a4rTyzk kn m{pqb>y­ o6o hj| t a hjyq]2t¢rT^ br a4a4yq|a$pxhja byx aca,pq~rpxy h{rTb>tWo to y2g6a o a pažo‡^ t twhjy r‡p2vWr o‡pxpxr¢v=aca tu¦= a$yzyx~a4~o‡mriœ pxtwpq~yqa rTh |tia apqa4 ati¦W| p a4IpêoT©‚pxy'ra4o a4’‡t h{| Ž‡aapzh oo6Gh{a msba ac| hjtTtnp'h{b>a4yzŽi~o‡h{amG©CrIr™r‡ŽTrmja y2 ŽIo‡o hst a4 ©Yhs’T~rr rTœ b>rTp kw^bly akwab>twnhso6v=pqhspqrTaca yqy h{² h{pxo‡h{rTmGtutwa,ar pa œ | h{p aa ^ | a ²  a4yzknm{pqy/r œ p ^ a4yqa | h åa  a4tip2p ^ ar  h{a4y4² W. . . . . . . D. .   P. . . . :. bD. . . . (P. 1. _. D. D. . . D. . .  . . nD. . Å-Å5Î{z4á|ÑÛ|. . D.

(49) . $  />" A  '  . %*  $'4%+ß   $D D  $ l, * a  a4ŽIhsa4© ^ a  až~mjo‡yzyxhj~o‡m  a4yzknm{pqy r œ ~o6mj~kwm{kwy r œ Ž™o  h{o‡pxh{rTt3© ^ h{~ ^ ~oTt3¦=a œ rTkwt | œ r  h{tWyxpzo‡tw~a nhjt V E{b‡Š Urik(b‡ ¥² . . D. . . . . D. . 

(50)    !#"$. -ap'kwy W  yqp/h{tip  r | kw~a,p ^ aTS-a’‡act |  a­p  oTtwy œ r  b &%,r œ o‡yrq ' ¨ (w± % ¨

(51) (n±

(52) yzkwv ( o ¨ G± *)*+-, ]2^ a ~ria  ~hsŽIh{pê}$o‡t | ~ritTŽTanh{pê}žoTyqyzkwb>vnpqhsritwy;a4twyzk  a‚p ^ o6p ' hjy© am{m | a-W=tna | ‡v  rTv=a  oTt | yzo6pqh{y WWa4y q ¨ G± è. yz)*kw+ v , (o % ¨ G± ¨bi± 5~rTti~Ž‡mjo‡ayznyqhsh{pê~4} o6mr œ | kwo6m{h{hsb>pê} vnm{ h{a4a4yzyTknq m{pyqpqo‡pxa4yp ^ o6p ' . o‡t | o  a3hjtTŽTa  yxa œ kwtw~pqhsritwy4² ]2^ a4t  p ^ a%yxp  hj~p ' ./. J

(53) ¨ e‡± hj’ y% oToAtn’‡v=hjrTo‡tyqh{U pxŸh{Ž‡oTa b| hs-a m{pxW=ritwtnhsh{pqoTa t b>| o‡kwp o6 m{h h{«pê}¨Qyxtnhjb>aa vn| msa }\| oApxrYyz~rTo‡¦nm{o pzo6hjtðhjt«p ^‹£Qa ¬$œ ±ÍrT²2msm{® r™©2§ikWh{two6’ pxh{rT t«a4yzkn¨ bimsp9±3q hjyuW=p t ^ | a h{tw~’Amjo‡yzp yq^ h{aŒ~4o6bm knS-m{o™px£h Ž™bo‡#h m{a4kno‡a px| h{rTyqtur‡mjv kn pxrih{rT¦nt%m{a4b r œ ¨ D ±2h{y­a4§Iknh{Ž™o6m{a4tippqr W=t | h{tw’ œ r  o6m{m‚¨ å± åp ^ aanp  a4b>o6mjy'r œ p ^ a>bh{twh £ œ ' ¨ å¨ Ñ± G¨ ™±x± s >¨ =D± >¨ = W± @? ¨ôi± )43 + 6h{5 t 87 1 :9 1 :9 *;< 021 )*+ 1 7 ]2^ alo | | bhjyqyqhj¦nmsa~k  Ž‡acy å¨ ±/o  œ alyzbrirTp ^

(54) ¨ p œ hjt p ^ a œ  oTba© r  g¢r œ q©‚aco g¢anp ]2 a4^ b>o I±  o‡t | ~rTtI£œ pyqp^ hjo6y'hjvtna rT¦npqm{r>a4bÂ~rTo tw twaža4~~^p'o o> oTv=~r‡pxhja ti p2#h ar a | œ q2r ¨ o‡¨>ms=DBm ± = 2W=¦i± }3r p ^ a$yqrTyxb}nyqaApxac= b q -pxr¨ 层hjt ² ažanp acbo‡m{y/r ' ¨ G¨ ™± G¨ ™±q± o ' . ¨ å¨ ™± G¨ ™±x± J å¨ ;C¨ =±q± D= ' . ¨ ;C¨ =±

(55) = `¨ ;C¨ =±q±x± s ¨ôi± nC¨ =± ¨ ' ¨ ;C¨ =±

(56) = 1¨ ;C¨ =±q±x;± o å¨ ¨ `±x± ' . ¨ >¨ =D± 2= `¨ >¨ =D±x±x± C¨ =± å¨ q± ]2^ a4yqa a4§Ikwo6pqhs^ritwyžawv  a4yzyžp ^ a¢~o‡tW~am{mjo6pxh{rTt r œ p ^ | <a W  yxp,Ž™o  hjo6px]2h{rT^ t r œ  < ©2h{p ^  œ a4yzv=a4~p,pqEr =| o‡t ^ | å® ² knm{a  UaS-kwo‡yq’ a% o‡p tn’Taa'~a4ri§Ib>kwo‡vwpxo‡h{rT~pt =tn~rTr pqzo‡ pxa4h{yzrTvWt rit < | 1 y 

(57) FI J - o‡ t pxr < p ^ arW  yqJWp2² pê© r¢_a ­W¬®ðyqphjtum{h{twyqau}nyxr pqa4b

(58) ¨Qi±¨ D ± ~² o‡]2msm{a ^ a œp rTm a £ m{r™©2hjtn’­m{hjtna4y T~4o6m{msa | p ^ a2p  o‡twyqŽ‡a  yzo6m{h{pê}ž~rTt | hspqhsritwy | apqa  bhjtna2p ^ a2h{twhspqh{o‡mW~rit | h{pxh{rTtwyrit o‡t | 1² | actT pqh œ }  p ^ a¢yqr‡mjknpqhsritwyžr œ ¨ D ±­©2h{p ^ p ^ a anp  a4b>o‡m{yžr œ v  rT¦nm{a4b ¨ôi±yqap œ r  ¨ å± ¢ a  ~ T o t h ¨ å¨ ±x±Í² ir a,v ac~hjyxa4ms} q S. ". !I. p". !$%. ". . . -<O. ]. L". !IO ;. D. ". !IO. . . -O. ".

(59). !IO ; . ". D.

(60) ]. ". 7.

(61). ! y/. ED. I

(62) ƒ_. . fh i. f. _. i. f f.

(63) !_. i i. f. RSS. S. N :8. SS.

(64). SSU. . :8. . s s‚X.

(65). D. . . V. . ,+. !$N YX  N *X. . &.   . ! 0 N. :8. N 8. :.

(66). 8. V.

(67). D. !. 9/210D. V. .  =. Js‚X. i. . . :8. V. . YXZN *X ! N YX. V. ! 0 N :8. . f. 0 V. 8F

(68) . N  . 0N. i. 0D.

(69) YXZ$N *X  N YX. S T SS. !N !$. 8. D. SS SS. *

(70) . . G. N. i. . ^N. SS. f. +BD. 8. . F=.

(71) . !. V. .

(72) _. Z.  o N. . D. . nD. N. O. !$. . =. ÁÄÃ;Å1ÁµÆ.

(73) . 

(74)       !#"$ !&%'  (%. — G• ª–. [ /.>B . A1 A1. ,l4) B // -R   . =  /     . . ¨ å¨ ±x± J ¨ å¨ ±q± lJ < [ —/.&.=‚› fiapqpxhjtn’ O¨ ™± ' . ¨ å¨ Ñ± å¨ ™±q± ‡oTt | kwyqhjtn’l¨ e‡±1hsp;h{yo­~mjo‡yzyxhj~o‡mTaIa  ~h{yqaUhjt$p ^ a ~4o6mj~knmjkwy rhjy/œ tnŽ™r™o ©ð h{o‡a4pxtwh{rTrTt kn’ pq^r px r>a4~yr™^ ŽTr™a ©ð p p ^ ^ a$o‡p‚ ­p ¬­^ ® ažy h{twr hsœ pqh{yxo‡}nmåyq~pxrTacbßt | hs¨ pqD hs±ritwœ  y rir bœ ¨p D^ ± a o‡W t  | yxp‚¨ôa4i§I±‚kwb>o6pqo6hspzri~ t ^ r² œ êp‚p ^ hjy ažrTv ¦i ŽIrihsvWririkwyxy h{pxœ h{r rT t1²p ^ êap hjpqtnr>h{pxpxhjr¢o6mWyq~arTpxpqt h{|twhs’pqhsr riœ tlrit h{tå² ¨ DG ±ÍrT²{twi~a r  tna,hjtnv ’  a4>~© h{yqa2am{bl}¢kw© yqažpU© ~ ^ oTactTh~ rp g,q p ^ a2p ^ h  | a4§Ikwo‡pxh{rTtr œ ¨ôI±1pqr$¦Wa2ac§IknhsŽ™o‡msactTp C¨ =± ' . ¨ >¨ =D± 2= `¨ >¨ =D±x±q± ¨qA‹ Ji± ayzvwoT~W až yqyxprTm{^ knoÑpqŽ‡hsriat3pqr~r yzzvW acacyq~v=h œ rT} t ^ | r™y ©ðpqr© p a­^ ~a ^ G riyxo‡a­kw~p ^^ a} h{| two‡hspqpqh{o o‡må~rTr t œ | ¨qhspq‹Ñhs±Íri² t êp/rTt hjy gitwhjr™t©'¨ t¢D ± p ^ yqkWo6p2~ ^ ~mjp o‡^ yzo‡yxhjp‚~rio‡mGk yqr‡v mjkn^ pqo‡hsyqriat £ pqr`©‚¨x‹™a±2~~4oTo‡tt©o6m{ ©/hspqoÑa }Iy2¦=wa ¨ | a-åW=¨ tn

(75) a =D|%±xœ± r  o O ¨¦nh{

(76) p =D o ±$ }¨ôyqayzbauo‡¨Q‘Tmsm-±q±Ípx²$hjb¬a‡h ² Gêa p acbtTpqach{o‡o‡twpxhjytnp’u^ po‡^ p aGh{h{t¡twhso¢pqh{o‡tnmah{~’ rT^ t ¦=| r hspqzhs^ rirIt¡r | o‡t r | œ kWyxhjtn’>p ^ a,ac§Ikwo6pqhsrit3hjtŒ¨x‹Ñ±‚© až’‡a4p p ^ o6p blkwyqp2yqo‡pxhjy œ 9} q o n>¨ =D± "¨ >¨ =D±

(77) = >¨ =D±x± s >¨ =D± >¨ =D± ¨q‹‡‹Ñ± œ n>¨ =D± J n© ažkWtwo‡b¦nhs’iknrTkWyxm{} ^ oюTa >¨ =D± >¨ =D±Í² t | a  p ^ a$o |w| h{pxh{rTtwo‡mOo‡yzyzkwb>vnpxh{rTtwy q o C¨ =± ¨ >¨ =D± 2= G± s s

(78). s

(79)  J ¨q‹ D ± o ¨C=± ¨ ¨>=D± 2= G± s o

(80) o

(81)  J ac’i§Ikwkwo o6 o‡pqhstiripqt\aa4¨qy‹‡p ‹™^ ± o6^p,o‡p y ^ a¢o ¦nkwhjtw~ ^ h{§Io kn o‡a¡~yqpxr‡a mjknhjyxpqpqhsh{ri~4t yv=r‡hjC¨ ti=p,±>h{yztio6pqpqr h{y œ }Ih{¨ôtw©‚l’ a o  a4~4no6m{C¨ mD=p± ^ o‡pn¨ ;C¨ =±

(82) = ‡± ² C¨ † =ac±q±vnmjo‡ ~hjtnJw’² êp hj¨qt A‹ JI¨q±Í‹‡² ‹Ñ±2kwyxhjtn’¨qA‹ JI± G©‚aawo‡~pxm{}  a4~r™Ž‡a  p ^ alp  oTtwyqŽ‡a  yzo6m{hspê}3~rTt | hspqhsrit%rTt hjt ¨Qi±Í² ]2^ h{yv  r™Ž‡acy  "˜n—  4 4   n T-   %h 2 (  n - ( '  h %h  h%  /< ( -  X    / X 2Ft -< / %<</ d/ h  /  / /  -X' !  << /m (  - h/-%<  2Ft '< / %@- / ' (/ > ¨ å¨ ±x± ;¨ ± !"! d / %' -< $#&% !('t!  "˜n—  4#K*) % + ' -> / /  /(%\

(83) 9%' /  %N ,-%.m %P- \2FI / >X  "¨ å&± / !    / -# F\ h%'_ %%h   (% { p10 20 (' 3

(84)  % 2 ' /\ /  0 4065 *

(85) _ *

(86)  <

(87) f 1 f i i : *

(88) 1 *

(89)  f i i 

(90) f _. U. T. YX . 6O. !N *X ! N YX.

(91). =. =. $N.   =. N.   =. . &. . . D. P. V. N. (P. 6O. =. O. =. O. . 8.

(92).  o N. . . 8. =. €O. V. =. (P. ^P. . G0D. [O YXZ.

(93) *XZN YXZ. ~O. K8F

(94) . P. . 8F

(95) . &D. ƒ". 8. =.  0O. U. T. =. =. 6O. R. nD. . =. . HO. F=.  =. . .

(96) . .

(97) . K8

(98) . J". 8.  oYO. HO. W}XoO. a('J>z8

(99) . &. K8

(100) . J". 8.  oYO. HO. W}XoO. a('J>z8

(101) . &. LO. =. K8

(102) . J"\

(103) ] :8. H+. ! 0O. . N. D. =. [P. "\

(104) ]. =. O. zO. V. . . !N !$. =. . . . 07#8. . =. O. . O. ". . t    /b(/ (-%h %d/.   G. 798 6:<;. rit | h{pxh{rTt ¨

(105) eT±. q. . =. !. . :  .

(106) . ". g$. : c. y .  n. . . . €. . . . . 3. 8

(107) . . . k. #. ". !IO. . . . *= 8

(108) $ #  $<;?>A@  B@C8    D8 $FEG8  

(109)  H; '

(110) /. .. ¨ å¨ Ñ± å¨ ™±q± YXZN *X ! N YX. V. Å-Å5Î{z4á|ÑÛ|. g. . . . I. . 67. J. ¨q‹4Ši±.

(111) ‹2J. $  />" A  '  . ^ r‡m| | y œ r  o‡ti}lanp  | a4b>o6mW~4œ k  Ž‡a ^ å¨  ± I¦=apê© aa4t å¨ ;¨ ± œ  ±U^o‡t | å¨ ± œ r  o‡msm œ ²Dtna4~a4yzyqo  } oTt yzkIH¢~h{a4tip-~rTt h{pxh{rTt r p hjy-~4k ŽTaUpxr¦Wa o'bh{twh{bkwb r p a bhjtnhjbhXaco6pxh{rTt$r < ¨C= W±{q  ¨ å¨ ±x± 021 )*+ )43 + >h{5 t œ 87 1 :9 1 :9 ; < ¨C= w± < hjv=yr‡hjp ti^ pa ri t%-%'p -^  a~ k   Ž‡a$awo‡ ~pq /ms}% db(a4/oT twy % p rT^ to6p­p p ^ ^ hjy>avWyxacr ~ ripqthsri| t Ž™r o œ  h{~o‡k pxh{ rTŽ‡t%aT² r œ ]2^ a%v  a4yq a4tw~©2a3hsp r ^œ  o a4yz~vWrTactÑ~ƒxpkn’ipqro6pqa hjy2o>tnrTt%v=rTyqhspqhsŽTa | -a W=twhspqa$§ikWo |  o6pqh{~ œ kwtw~pxh{rTtwo‡mô²U­tuh{b>v=r  pqo‡tip  a4< b>o  g>h{yq   = D. N. N :8. =. . . =. =. N !$. . f. f. *

(112) _. . f. *

(113) . =. i i :. 2. $N.   =. . . I

(114) J_. fh i. f. i. _. f f.

(115) !_. i i. f. f. i. *

(116) _. f. *

(117) . /   t 

(118) @   %B /   % {  P(/ > % Ig r   t t'n  !E<d   %  %'\! h%

(119) (/  % z /I%h  : (/  %1

(120) 2F %'<'  /  !.  " ˜n— 4XY   % \   < /  /> '  9- - /  /  -  d   / /<%-  /(% /  /%' ''   (P- / y  r   g. . . . . . k. >

(121) n

(122)  - /  /B  !.  "˜n— 4 3 2Ft -< / ' h. i. f. o$N. i:i. o$N !. . . f. . *

(123) . *

(124) _. . . . . . . . zN. i i. .   3 P- / %-!.  /I%h  : (/ > %G (d 'h" 'X %%h : / /d  />"$I Z '. . . . ' <I% /(%h t    %'m />  /  t 

(125) _(/ > å¨ `± / /  % % h   9 / ! (_ // h%h  % /%%- h %d (  - G ¨ å ±  ¨ ± ' h/ %  R Td  d  !P  -/ GR % rd  d  ¦=a œ r  a (   / {(/ > 

(126)       ! (%h   h  \  %' /< ' h/ å¨ å± - @%h h   9 /   # (  <  /  /  (/ > P/ I % %' -  / ! ( -  >- (   h  \ - h/r /  

(127)  r  /  / @(/ > { ( M.

(128). . ~ . N. g. .  $. . n. . . . k . . ' h/ % <d  d <!. .  n. . X. .  . . . . 8. =. :. . . . . . n. g.  y. .  . N. . . . . . . X.  . . Q . eN n. N. k. . . . . €7. . . . . .  n. . n.  €. . ,. . . . . .  . . .  #"D; E; @  D8 #   

(129) "  8  @C8  ;  D8 . ­v ^ tno‡r‡yqp a^ £êayqvW o‡h{b>~ažv=yqr r‡ mjpqkno‡pxtih{rTp tœ acr o6œ pqkp ^  a,a rŸ œ o‡v b rThsm{¦wpxrimsactIbè£ê¤ToT¨ôI~rT±‚¦wh{y'hGacp §I^ kwa$o6hjpqtihspxria t¡ v ¨q ‹Ña± pzo6o6pqm{rThsritwt3’r p œ ^ a,p ^ aa$nŽ™p o6acmjbkna o‡œm{ykwtwq ~pxh{rTtoTy2p ^ a  ¨ G¨ ±x± ¨ ± ¨q‹dI± < | œ | ^ | ^  rn­b~4y¢kw~yqk v=p  r‡y~hj<²o tT pqc2a a œ oTknyxmshjrTm{~} kwo‡p|msm{h{}h{yqt¯pxphjtn^ p ’Th{ykwah{by h{^tiacp o‡¦=twr ayžpê© kwp ^a~a4pxo6h{t>prTtpê¦n©. h{~ r$p ^ yqo h{hsy3pzo‡kw~h{o6tipqpqapxhsarih{twyqv pxyhj² ~a4pq]2~o6^kpqhsa riŽ‡œt aco‡y,hsmjo‡k ~ hs mjrTa'y¢yzr yžoTœ y h{p t ^yxrIav=rTrTm{tYrnyq~hspqo‡o6hsy3m=ritŒ~blrTyzt knvw| m{pxoThsh'pq~hsa riŽ™o‡t%m{kn¨ªdna ²u±tn o6acp tnyqoay ~4v=o‡rTkwyqh{yqpxpxh{hjrT~t%vWyqrTvWh{tio‡p2~a$v ~ a4 ~rihjyqyqy4a² m{}¢G b rTacyzo‡yxtwhjtny ’>p ^¦Wo6a4pêp/©‚p a4^ a4ažtv yz kwr‡~ ƒ„^a4~vpqhs rir6t¢ƒ„a4r ~œ pxh{tnrTatwh{y/’ ^ r ¦=œ r ¦w h{h{~ tw^ ’o ¦noThj~~^pqa o   h{oTyqpx~hjpx~ a  -hjyq pxhhj/~ h%h% b>h >oÑ%}rTo6timjyqpqrr ^ o‡vwv=a4t œ r  ~k  Ž‡acy/p ^ o‡po  ^ a,| tnr‡p~msriyxažhjtv ^ oTyxa£¥yzvwo‡~a‡² „tup ^ h{y­~ oTyxažp ^ al¦nhj~ ^ o  o‡~pxa  hjyxpqh{~4| y ~  riyqy hj¨ôt r  vWy ri^ yxrnh{pxh~ h{gIrTy2t ¦Tyz}uvwo‡o‡~twa%o‡ms¨ rTW’‡±­} ©2©2hsph{p ^^ h }nGvWa a ac tT¦=p$r‡m{bhj~,ri~brTtWactiyxa pqkwŽ™b o6pqhs¨ riGt¢± ² mjoÑê©'p$y͒T±‚a4hjtntua p o‡^ pxala4yžŽihjyqyzh{~twrT’Tyqknh{pêmj}¢o yxhsrTpqhsm{ackny,pqhs~rio‡tŒmsm{a¨ôyqaa$gih{o6(t mjgIyqr y yqa4~pxh{rTt%‘n² D ± ² f. *

(130) _. f. *

(131) . i i :. =. $N.  $ =. . `. !. =. D. z1. _. .  . ~P. :N. . O. zP. ÁÄÃ;Å1ÁµÆ.

(132) ‹T‹. 

(133)       !#"$ !&%'  (%. %* 9&  D$ l'  / D $ , * frIh{b>| a vn m{a4Ÿ ~o‡pxhjb~ h{|mspqh rTåt3a  ¤ia4o‡ti~pxrThjo6¦nm/h=’Ta4§IarTkwbo‡pxa4h{prT tw}Œy4² hjy oŒa kw| yxra œtwknr‡m2p px’‡rIarTp‚m h{pqtir pqrl~pmjo‡^ yza yxh| œ }a4pqo‡blhsmjkny/m{pxo‡h2t Ž™|>o6œ mjrTknmsa m{r™| ©yqr‡~mjm{knrTyqpxah{rTm{} tWyr œ 1W o‡t yx| p f~4o‡t>` yqaa pqru v V  r™ŽI`­h t| bab>a4o6kWpqa ‡ Š h{o‡mD¬žtnknaaNh eÑ| d a ¥| ²Dh{t t>p hj^ tia>pqknyqh{a4px§Ih{Ž‡knaamv r acœ yxpac^ tia pqo6vwpqhsoTrivWta r ² œ yxEWhjb>r  vnamsacb~rpqh{ ~a’‡rTat¡ribp ^ ahjp y }lpxrT~4vwo‡h{t ~o6rTmjtnyqra ¦=a œ rTkWt | h{t   tw D ¥² . . . . P . . . .   P. . . . . . . . .  . . .  #        - # $<;   !#  EG8 "

(134) .  $F= 82: 6@  8 . ]2^ a Ÿ ‡o bh{mspqrTtI£ê¤ToT~ri¦nh`a4§Ikwo‡pxh{rTth{y | a'W=tna | oTy2o‡t ^ }Iv=a  yzk  œ oT~adq ¨ ± i¨ å± < ¨ U± s ¨ G± J ©yqh |^ aa  aa | < o‡y ¨ œ r  U± 9lp ‹ ^ a ¨ªriyqk vw oT~vwa o‡v=r a œ  ±Í‹²¯£{ƒ„aputi¦w} kwtq’‡| amsaŒribr aœ,p œ kwhj~ tW¡~pxbh{rTkntSm{pxh2r œ Ž™o6tSmjknŽÑa o |  hjyqo‡r‡¦wmjmsknacpxy h{'rTtA~4o‡r tœ ¦=aŒ¨ ~rT± tI£ q |  hjo‡t Tyq¨kw¦Wœ bå| ¨ oTtnh œ r‡±m | hj^ ¨t < ¨ ± 'o ¨ | åD¨ ±m{}Ih{tw± ’^ 1hj¨ t ^ ¨ ±x± ±œ ² ]2¨ ^ a yx±hjbhsmjo  œ^  o‡ba;© ¨ r  g± |,r /œœ hjS; y o6o ’  SOoTtna’T’‡ a4hjo‡tIt £ m{yzyza4kwkwb>¦w¦wb>b>y oToTtntnhh œ rTrTmm i| ¨ msm{h{}ia hjåtnh{¨t’ v hjt3o‡p ± yq^ 'aa,o £êyz"d6vw£ o‡| ¨ ~hja båo‡a4¨t twyqhsrTribtw± o6h{m1pqOy;v¨ p ^ o‡a/yqav ±q£ê±yqvWoTyxo‡;a ~¨ akw¨ tw~px± h{rTt å±Í² ² „t$p ¨hjy;~4±o‡yqa‚h{y­oTt o D £ r | hjb‹£Qa4¬ðtwyqv hsrirTtw¦Io6£m  anp2©‚ažhjtip  r | kw~a,p ^ a$~oTtnrTtnhj~o‡m`v  r‡ƒ„a4~pxh{rTtuboTvwvnhjtn’ q q < ¨ U± o. ¨ åP± o ¨ ± Ehjt | hjtn’p ^ a ’‡actna  h{~‚yxhjtn’iknm{o  h{pxh{a4yhU™~4o‡kwyqpxhj~yOr œ p ^ a/yxrTm{knpqhsritl~rTtwyqh{yqpqy-hjt | a4pxa  bh{twh{tn’©2h{p ^l a4yzv=a4~p pqr¡ p ^ a%¨ pxhjb¨ a%± vwo  oT±b² a4]2pxa ^  a4yq$a$p yx^ r‡a%£¥~4mso6rnm{~msa o‡| pxh{rTyqpqt oT¦nmsar œ yxhjptn^ ’Taukwm{’‡o ac tnh{pxa h{a4 hjyž~3¨ô©‚¦nh a œ k   a ~œ o6a pq hsripxr¢twyp ^ r alœ oTp ^¦Wa r™ŽTqa ©  oÑa ŽTœ a a  acœ twrT~tiacpqy y œ r  q p~ ^^ ao‡tnz’Ttna4r‡yDp‚h{yxpqr$y yxrih{¦i’TŽit h{rToTkWt y | ,p tn^ rTa px h{a rTœ tr  r a œ œ yxo‡pzhso‡mjyU¦npqh{m{rhspêyz}Wo6±pq~h{y r œ z} ac~yqrTv=t rT| t hspq| hsyDrit%pxr¨ªdIp ^± ² a]2vW^rTh{ati~pq^y‚oT© tn^ ’‡a a ar œ yqhs¨ ’iåt>¨ h{t ±q¨±/å¨Q¨ yxa4a­Ši±± hj^ t o‡| vwhjv=~o‡a4pxtway p o‡^ p o‡pžvWrTp ^h{tia>pqy>hjIt © W=tn^ h{a px acayxhjpb>^ o6a mUS-o o6 a4’ o  oT^ tno‡’‡y,hjo‡y t ^w yqh{kwt ¦Wg6ba | oTtnpxrh œ r‡Jm | oTt | œ r‡mp | ^ y a4t hj~ tA^ oTv tn^ ’‡o‡a yq| auh{yzpqvwyžo‡r ~ah{a4o‡tit pq|o‡pxh{p rT^ t`a² h{pqêyp v  r‡ƒ„a4~pqhsrit ritTpqr vWriyxh{pxh{rTt%yzvwo‡~a¦=a4~rTba4y'yqhjtn’Tknmjo  ². . Y1. . . - *XZN YXZ. D. . 3#1. 1. . =. |- !$NF. Y". !. <1. D. ). . . - YXZN *X $. . 

(135) tO o/. 14351 q<1.

(136) . !$NFYO. #". . ;. nD. . YXZ. =. . =. . ! ^". Y1.3H1.  ^". =. *XZN YXZ. !O. *XZ. <1. =. =.  YXZ. kX . YXZN YXZ$. !O. YXZ. =.  . X. 7. 8. . =. ". ;ZD. ". . =. . =.

(137)  *X $. P. oX    X. 7a8. :. =. <;. !$N

(138) tO. . . 14321. !$NF. . . . . ". . . . $1. 1m321. 

(139) tO. !N. . 351. . . N. r. . . =. :N YXZ. r. :N YXZ. =. €P. . . . . . .  B- D@ @"#$ $  @  8 8 E @ ;$4 $@$. êv p‚^ h{h{y yzb v=rTr yzyxœ hj¦np ^ m{aaupxv r^ ~oTmjyxo‡ayz£¥yxyzh œvw} o‡~œ ra  ~p rI^ r až | yxpzhjtwo‡o6¦npqm{a­a4y yqhj¨ tn’Tknmjo  h{Gpxh{±a4yUhjtir pxœ r¡p ^tnraž v b> r6o‡ƒ„m ac~~rIpxh{r rT t | hjtwo6²pqia4y r œ | r kn m{r© o^ hj| ~ ^h åa©‚riabkwr yx a £ p ^ a­hjt¡yzo‡p b^ a atntnar‡h{pz’ o6^ px¦=h{rTr t z^TrI© r a | gIrtnœr™©ðyqkwp ~ ^ ^ ayxahjtnn’ioTkn~p m{o o‡ twh{pxo‡h{a4ms}IyhpxU™hj~4~o‡o‡kwm=yq~4pxo‡hj~tny4ri² tnh{„~4t¡o6mp ^ œ r a% bˆ‹£¥¬°r œ ~p o‡^ yqaauS-¨ªo‡rT’k   o‡vWtno‡’Tv=h{oTa t> ±'bp oT^ tna h œ ar‡m h{| y rip ^ tna$m{}3v rT^ twoTa$yxa vWœ rikwyqtWyqh{~¦wpxh{hsrTm{hstupê} hj=yr~m{q oTyqyqyh W=a | o‡y2p ^ a yxhjtn’iknm{o  h{pê}3oTt | ~o‡msm{a | 'I% ² ]2^ a$~oTtnrTtnhj~o‡m œ r  bÂr œ ¨ G± d‹ o D‹ s ¨q‹c‘T± . P. !N

(140) tYO. bD. . P. ZD. . Å-Å5Î{z4á|ÑÛ|. . . !N tO . O.  O. . 9NAO. . .

(141) ‹D ]2^ a  a4yq| p  hj~px h{rTt | r œ p ^ ab>o‡tnh œ r‡m | h{tYv ^ oTyxa£,yzvwoT~aŒ¨ m{rn~o‡msm{} acyq~ hj¦Wa ¦i} q o s. $  />" A  '  . G±3¨S-o6’  oTtn’‡hjo‡t yqkw¦WboTtnh œ r‡m | ±lh{y ¨qA‹ bi± o Ehjtwo6m{m{} w~rit | h{pxh{rTtŒ¨ªdn± ~oTt¦=a$y ^ r™©'t3pqr>¦=a,a4§Iknh{Ž™o6m{a4tip/pxr J© ^ h{~ ^ Wh{turTk  ~4o‡yqa  aco | r yq   sŠ ¨q‹ e‡±  "˜n—  K6) !> d X 'X %%h     (% 

(142) Ft %h  I ( / <-%h /(%'! h % " I%h /%h   < t/  / / ' h %h   X h  h%  / #   ! (-%' /

(143)  ' P (-%r %h   X h  -% . !N tO. . . N. ~O .  O%.     O. . . D. . . . 0. . . O. 2. D. . A n. . 0. n.    <  Z   Z #_ _ ( 

(144) g ->    -  g Z- -% <  $  '  / < / Yh F I :< t'n  2h% . 

(145) <  _%'-  /  ! G ! hA-h   9/ (^ g $  T  ( h  /%  # h  h%Go / X t  Z  'F _  %h   X h  % // / X -#A!. . . . n :. . . r. . . . g. . . . . . 

(146) " $4 ;"@  ;- 8 E *@;$ =. a¬a’Ta4v tn rna ~oTa~a }| ~pqrir t a| wh{vnpxh{mjrTo6t hjtu¨xp‹/^ e‡a$± ~oTrTtwkWo6vnm{}Imsa px|hj~o6pqmrœ pr ^  a,b b>r o‡œ tnp h^ œ r‡a$m |yqhjtnac’T§Iknkwmjo6o pq hsh{ripêtw}3yo‡¨xt ‹A| bI±Dp ^ ’Ta$hsŽTbla4y knp m{^pxhOaŽÑaco‡§Im{kwkwao6|pqhsriyxt¢rTm{kwr œpxh{prT^ t`a ² $ ~4o‡kwyqpxhj~ž~k  Ž‡ažhjt3p ^ a ¨ W± yqvwoT~a q D   Š ]2^ h{y‚~k  Ž‡a Tvnhj~pzk  a |œ hjt WW|’Tk  œ a,‹ Thjy‚~4o6m{msa | p ^  a~kwyzv o‡t | | h{y‚p ^ arTtnm{}>msrn~o‡mw’‡actna  hj~' yxhjtn’iknm{o  h{pê}lr œ © ]2a>^ hjatl~o6Ž™rim{ok m; p hjo‡^~oT¦na yxm{aaT~kW² ¡yqêv¡phjyžh{Ž‡y aa m{ rh{pxbab`hjtw²a o6pqêpa r |¡hjyžpêœ ©‚ o6riržmjb9 yxru~ri¨xvWtT‹ÑriŽT‘Tyqa±yq$hjkw¦n~yqmsk ah{tnŽTpx’%r%a4yp vn^ p m{adr‡­pW o‡p t yq^ pža a4p b§Ikwknƒ„o‡msr‡pqpxhjhh{tnrTŽÑhjttno‡’,m{rkwœo6a p| ¨q‹Ao­v biyq^± h{² o‡twyq’T]2a kn^ mjœ o hjkWyžtwa4v=~§Ipqr‡hskwhjritTo‡t p pxh{¨ rTt¨ ^ Wo‡±Íy± ² awo‡~pq^ ms}%p ^w a4a  a4o‡m  rIr‡pzœ y | ^ a4v=a4t  | hjtn’urTt  ¨ | W±hjtwyxh | ap |^ a ~4kwyq^ v ¨ªhQ² aT² œ r   o  ^   ^w     ^ ±Í²   yz~4 o‡o‡t btlaTprT²R¦wayqEa h{~4 ’To‡Ž‡k kwa‚ yqpa px^ hjD ~a2oi¦npê±Dh © œ yk r^  r™~r o6©'pqy hsp riœ tr a4 yqo‡a yqp-kwpq~4h{rIb~r‡acpqa yqyyqhs ŽTo a'm{a4a¢pxo hjh |bh{a4tna4tiy ’pxp hjpx~^ ržo‡aom‚vnoTp m{ tr‡h{p‚vwmsr ao6œ £QplŽ™p o6^ p mjažknauav | ^~kwo‡¨ªyzpyqva hjvnŽ‡m{ah{oT~4y‚o6pqapqo hsŒriœ t=kwp ±-twa~v pq^ phsrio‡t¢yqa ar auœ œ kwo Gtw~² a¢pq hspritnt`aa ² € rTh{tip ¡G h{t | h{~4o6pqaro gThj(t g¨ªr   y ^ rnh~ gw^ ±-hjt>p ^ a'oTyqyqrn~hjo6pxa | ŽIThjyq%h~ rT yqhspêX} yx/rT /m{knpqhsrit> o‡ t  | (v=-r‡% hjtTpzPy p\ o,~oTkwyxpqh{~ v=r‡hjtip² oTkwyxpqh{~žv=r‡hjtipqy'yqa4vwo o‡pxap a$yqr‡mjknpqhsrit3hjtipxr ¨WW’Tk a$‘T± ² alåo ¨  a$o6mj±yqrOhj¨ tipxa  ac±qyx±pqa | yqh{h{t%tw’p ^p ^ alo6¦npDhj¦n~ ^hj~ o ^  o oT ~oTpx~a px ahjyq pxhjhjyq~pxhj~4~ky- msh{Ž‡a2a4y4rT² t † ac~o‡msm1¨ p ^ ±1o6p© pa ^ ’Ta4a}up ‡yzkwo6pqyqh{h{ytnœ ’ž} p å^ ¨ a'yxac~ri± t | n ¨ ac§Ikwo6pqhsrit3hjtŒ¨xA‹ bI± q ¨ G± o ]2^ a  a  œ r  a O| p ^ a¢p ^w aa¢yqr‡ mjknpxh{rTtwy ^ œ r  r œ p ^ a W  | yxp,ac§ikWo6 pxh{rTtŒ| hjtY¨xA‹ bI±~ r qD  a4yzvWrit |^ msrn~o‡msm{}pqrp ^ a ŽTp ^ a4a~pxryqoTbWWa>a4m oTyåh{²tŒoi±qa ±Í² a4v yžacayxnacv=tTpa4~p pxa h{| y,-bv knrTmspq¦whDmsacŽ™bo6mjykna rn~~4Ž‡k ac ~pxo6r pžp W=^ aa¢m ~o‡hjkWt yxpqW=h{’T~k vWrTa h{tipzyž¦=±l© ¨ô^ p a  a a ¡yz¢~o‡¦=msa4a~rTh{yžbtna4r y hjv It  W=actw~hjhsyxpqa4a‡ms² } h | rTa4pxtia pxh œ^ } r™© a4oTa~ ŽT^ a  ¦ w p o‡^ two‡~ p'^ p r ^ œ alyxrTpxm{rkwpxp h{^ rTažt~yqr pqqoс }na4y'yzvWyzribt rI| rThjtnp ^ ’$h{¦ t¡ o‡v tw^ ~ o‡^ yqa$r œ yzvwo‡¨ô~ba¢r ¨  a W| ±Ía4²pqo‡ hsmjtny a$rit ~4o‡p t^ h{o6y mjyqhjtr . !$N. . ZD. . . N. ZD. %P. . B@.     . QP. O. . !N. . . N. . D. !$N. N. . . N. $. . . g. F. . "\

(147) ] YXZN *X $. =. O. YXZ. =.  . . N YXZ$. ". =. . D. V.

(148) ] !$NFYO . ". D.

(149) ]. #O . O. . N. N. D. V D Z. D. QO

(150) _. O%N. . O. ÁÄÃ;Å1ÁµÆ.

(151) ‹cŠ. 

(152)       !#"$ !&%'  (%. ^ r‡m | y/msrn~4o6m{ms}T² yqa4~pxh{rTt%‘T±‚o‡t | ~ ^ a4~hg p ^ o6p œ ^ ^   ^ œ  D t/p/ipxpqh{h{m byxpxhjtna hjb’%a p ohjy,yqhjp tnhj^ t ’Ta3knr mjyxo rTb> m{h{kwo6pêpxpq}>h{hsrTrioTtŒt vw1v=h{yl© a4o ayq by/vnrIm{o6r‡r‡p/p p p^ ¨^ WWažo‡’Tt ~4k | kwayzyqv3h{tnŽT’T~ca ms±xa ± pxaŽ™bu`o‡² m{r knG a p|^ o;a4 p yqoT^ a>~a¢px¦wa ¦nh{ ~ hjhj~yq^pxo hjo ~oT y oT~~ pq~a pxria h{yq yqy hjpxyqhjppx~^hjy­~a y h{tYa | r¨ôp tn}wrT±¦Wp$acyz~ ~vw rioTrTb~yza‡ya ²² hjp It ^ W=hjyUtwpxhspqhjbažoTa tip| ^ pa ^ xa,p v hj^ vnoTm{h{yx~4a o6pxœ kwh{rTtwt ~pxh{|rTat Ž‡^a4mso‡riy/vwoy4²-yx® hjtno‡’i~ kn^ m{o ~  ^ h{opê}  o‡¦w~knpxap/ phjyx^ pqa h{~4a­yahjy2Ž‡actntir>pqkwblo‡knmsm{m{}lpxh`pqŽ™rTo6kwmj~ kn^ a | pzo‡tntna4yz’Ty a4ti}‡pxa4hjpo6²Um{ms}œ p pq^ a a | ^  | ^ ^ ^ ^   pq~4~ h{o‡ ~4rikwyDyqyqy© pxhj^©2~hjh{~¨ôp o6^>^ p2^ yzv=oÑo‡r‡Ž‡bhja2tia pqtny rTo‡pDp$yzyx}‡± rna~o‡pDh{to‡pqpxrTa kw|p ~ ^ vaca t^ | oT~ yxp a^ ria­yqy ~n-o‡o6 kWp yx pqa4h{oTp ~^ ~ ¨ôa4v=} r‡v=hj^r‡tihjoÑpqtTŽTy p/a ±hjtw Ía4yq²oTh /~ až^ pDa p p | ^ a,a p ^ ~¡a¢kwyzv=~4v r‡o‡Ihjkwtipêyq©‚pqpxyDhjr~ pê© r‡p 

(153) r,F ¦na hj~>¦n^ hjo ~  o‡o ~ px(oTa ~ pxhjyxa'pqIh{hj%~4yx y£ / h

(154) 2F  I    /I%h  œ  ^   |  ^ pqrTkw~ ^ ²h{p2 pqo‡tw’‡a4tipqh{o‡msm{}‡² ]2^ hjy2hjy/r© ^ oa  ¦wažh{~ p ^ oTa S;oT~o6pq’ a  o‡h{yqtwpx’‡hj~hjo‡t¢rIyzackwy ¦wtwb>r‡o‡p/twbh œ acrTo‡m |t3œ pxr‡r m | ~ y/rThjt%yzyUv p ^ o‡a,yq~ao‡£êyzkWvwyxo‡pqh{~~a‡²¦wknp/pxr œ | | ^ ^ ~4o‡kwEyqpxhjhjtw~ o6nm{© ms}ua m{^ ap­oю‡kWa yq ba4tipxh{rTt%pê© r¢kwyq¨ a knm;h a4±tipx h{pxh{a4y­J yqo‡pxhjy W=a ¦i}p hjyo‡tWo6m{}ipqh{~4o6m;yxrTm{knpqhsrit`² t%p a ¨q‹4i± ¨     ± ب J Ji±  ©~rT^ tia px ria k  msh{hjyltna4p yu^ a3r œtwr  bhjt«o‡mU¨ pxr¡Wp ±¢^ a3yzvw~4o‡o‡~kwaŒyqpxo hj~ a ~kr  pŽT^ a rTh{’‡t¯ritw¨ôpo6m­}w±$pxrYyqvWp o‡^ ~a aT² ~oT]2kw^yxpqa h{~ŒW o‡yqt p$| ac§ip kW^ ao6pxh{¦wrTh{t ~ ^ bo  a4oToT~twpqy$a  p h{yq^ pxo6hj~p ~r4kœ  ¦nŽ‡h{a4~ y¢^ o pqo‡o‡tw~’‡pqa4a ti p¢h{yqpxpqhjr"~ p %h^ ha¡ >~% oTkw~ yxripqh{yq~"y¢¨ôo‡yqp¢aa p ^ WWa¡’ik ~oTa kwyxD pqh{~ ~c2± ² hô² a¡]2¦n^ hja¡~ ^ yqo a4 ~oTrT~t px| a  hjriyqtnpxhja~up ~4^ k o6 p¢Ž‡a4p y3^ a ~  v rTyzr6y>ƒ„ac©2~hspqp hs^ rit\yqoT¨ ba± bribactipqo %o‡t | ¨ G¨ ±‚~ ^ o‡tw’‡a4y/r œ yqhs’it`²  "˜n—  K6 4  - h/h%X/ 

(155)     -%   / §Ikwo‡msh{pqo‡pxh{Ž‡a 2- h< /  /% / ( %h h '"  <  ( 'I%

(156)  / _  t ' h <%'/  / ! (    /  h%

(157) (/

(158)  -  />#/ % d ( . . . O. D. . nD.  . D.  . DO. . D. . D. D. . n. .

(159) _. . . . D. t.  5. :. D. . . _.

(160). . fj . . .

(161) _.

(162) . i . . ]. &. fj .

(163) . i . . &. nD. . !$N. . . r. O. . . D. N *XZ. =.  .   .  z. . . //d   /  : t-hd X tA!. . . .  :. . . . . c !. . Z.  E. 7F;$ =$  B @  8 $. . ]2^^ abknmspqhU Ž™o6mjkna | ’‡a4rT bap   hj~yqr‡mjknpqhsrit¡~^ oTt `r œ ~rik   yqa `¦=| a blkw ~ ^ br  a~rib>vnmshj~o‡pxa ^ | ² êpžrn~~4k  y ©]2^ a4ra t¡W yqyqap'ŽTa yqhspzo6kwm;o6~pqkwhsriyzvwtuyoIo ±‚h{ayv © ^a4yqa4a4tutipp ^² a$pê© ar>y ~4r™kw©Øyzvwhjy t ^ W=oђTŽTk a$tnar Š r™Ž‡h a å amjo‡a4v`ti² pž]2vW^ riayqyqyxhjrT¦nm{hsknm{h{pqpxhsh{ria4t%y©2yxhjb>hsp vnmspê} © | raŽT~4kwam{yqrTvWvwyy ² p~4kwhjyzvnvwm{h{y~4² o6]2pqhs^rita bhjt%knmsa4pqoThI~ ŽÑ^ o‡m{r kwœ a p| ^ yqacr‡yxmjalknpx~4h{kwrTyzt vw^y² o‡ny G W=o‡Ž‡yqa a$¦ ¦= ±/o‡ytW^ ~ r™^ ©'a4y`y/hjpt,^ p al^ a vWrir™yqŽTyqa hj¦nm{hsoTm{h{v`pê}²nEr h{œ twoTo‡t%msm{},r™Ž‡~oTa yxmja o‡~Ñv3±`¦=~rapêz©  acayqacv=t%rTt p ^| a y pqhjtwr­yqp h |^ aa'o‡p ^ vWa$vwo tn a4hs©Cpqhsri~4t,kwryqv1œ ²o­twaa ©Aœ k~4kw p yz^ vla hj tl| p hj^ yq~4a/kwm{yzoTy2yxpp ^¦ ac o‡yxažtw~ pq^rTvnr hjœ ~y2p ^ hjatuW yxacyx~ppxh{rirTtnt a‡²;bW²'‘w²’To‡h{tp ^ a  a o  a2‘¦  oTtw~ ^ a4y

(164)  *%9(# @ $ , * ]2| ^ a¡ blknm{pxh­Ž™o6 mjkna | ^ yqr‡mjknpxh{rTt¯ © a©/o‡tip pxrA~rTb>vwkwpxa ^ ^ oTy¢tnr™©8 ¦=aa4tð| ~ms aco  ms}A h | a4tiœpxXh WW^ a | p ^w rTkn’ ^ h åa a4tip‚oTvwv rToT~ a4y4² ao a­o‡¦=rTknp‚pxrlhjtiŽ‡acyxpqhs’io6pxap ažtwo6pzk ao‡t v rTv=a pxh{a4yUr p ažyqr‡mjknpxh{rTtwy D. . . . Å-Å5Î{z4á|ÑÛ|. . D. P. .

(165) ‹4d. $  />" A  '  . ©^ ^ h{~hsm{^ až~4p o‡^ t,a¦=p ^ a a4 r ac ~} r™ŽT’‡a rI a4a y | ¦w¦ToT}ž~hyqgh{b>pqr vnm{},G S-yxrTTmsŠŽIhjwtno’2p ^aŽIa h{Ÿa©ðo‡brTt3h{mspqp rT^ tIhj£êy2¤iyzo‡kw~¦Iriƒ„¦na4h6~acp §i~4kWo‡o6tpxh{¦WrTt,a ~œ rTrTkWtwt yqh| | a hjt  a | c2o‡o y- 6o d € 1¬o‡t ®| ² o‡m{yqr E fITŠ ¥² . . . *D. . . . .

(166) $<@C8 $  $ 8 $" ;  8 $ 8 E @  # "<8   @C8 #   8 = !#"@C8  8 " @   @  B-   D8 . atIkwboa  hja¡~o‡h{tim pxyza ~  ^ aca4yxbpqa ac| y hjœ tðr  p ^ yzkwa ~ ŽI^ hjyqa4~§IrTkwyqo6hspêpq}Yhsriyxt rTm{o kw pxa_h{rTgitðtwr™r ©'œ t v  pxrir ¦nm{~a4rib:tiŽ‡¨xa ‹Ñ ±3’‡a ¦=pqa4r ~oTp kw^ yqhjay p~^ mjo‡aŒyzylrTkwr pqœ vwyxknrTpm{kwr pxœh{rTyqtpqoT¨ô¦n©‚msaa  a œ a   pqr †D] ‡ c2| o  6d ^ ¦n^ ’i b œ r ; a œ a  actw~acyO^ ritl~rTtiŽ‡a  ’Ta4^ tw~a yxpz^ k |  h{a4y ±Í ² ]2^ a Žihjyz~rTyqh{pê}žyqr‡mjknpq]2hsri^ t b a4ryzkna4m{pqr™yOŽ‡r a œ p ~^ r‡h{hjy;twyx~ach ~pqa4hsy'rit ©2^hsp oю‡aUp ¦=aaac~tlmjo‡o yzyx| hjo‡~vno‡pqmOa yq|bœ rI rTr‡bp c/yxrTo m{kn ‡pqhsd riQt%² ê© p  aa4m{t%hsacy1p ria tTalc/oam{m{a$b>tno‡r¢t  yqyOhjtna4§I’Tkwkno6mjo pqhsrih{pxt h{a4œ y4r ²  

Références

Documents relatifs

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 &lt; 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

Considering the importance of the English language, ba1'ed on the program requirements, and taking into accmmt the necessary input and use of time by teachers, the