• Aucun résultat trouvé

Recursively implementating the Gaussian and its derivatives

N/A
N/A
Protected

Academic year: 2021

Partager "Recursively implementating the Gaussian and its derivatives"

Copied!
26
0
0

Texte intégral

(1)Recursively implementating the Gaussian and its derivatives Rachid Deriche. To cite this version: Rachid Deriche. Recursively implementating the Gaussian and its derivatives. [Research Report] RR-1893, INRIA. 1993, pp.24. �inria-00074778�. HAL Id: inria-00074778 https://hal.inria.fr/inria-00074778 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) \ ]^_^a` bdcOe fhg \ gjilkmg b#ilkmg.       

(3)   !

(4) "# $. npo>q6T6U r sut[vws*xzy{y?|M} ~j>€J‚„ƒY /†/‡‰ˆ6ŠŒ‹$ŽJ‡‡ ‘ƒ“’”ƒY•. – —h˜_™ – šœ›‚—žSŸ  ›‚  ¡¢ž£—  —¤ ¥¢›[¤ ¦ ¥¢§ — ¦ ¨?™ šjšS›>¨©¤ ¨©¤ ª ›>¥?š ª —–›[¨M¥¢›‚—hš. %'7&(*8 )+(* ,-8:(9<;48>./=$(09<)213;4%48 .65 8 %? %4@A1 =*B ./(0)2CD, 8 8 ( 8 %?E,-($1 B .>(*)2C', 8 F6GHGJI = 1K,LP( 8MQRS7NQ#8 T6&U "O, 9 )2135 8 & GHV T G6F -16W ; )2./XE%H(*)2W#1K5Y)2& Z = .6% 9[8. . 9<; ) 7  «

(5) . ¬ = )Y5lo/THT6U.

(6) !. 

(7) 

(8)                  

(9)   

(10)  

(11) .   " # #$ %  & '        ( )    % $

(12) % . . 9<; ) 7  «

(13)  ,* +-.*0/ 132547698;:5<=/.>@?A8B4C25DB8;E FHGJILKM<NLOLILN@PM132547678Q:5<=/.>@?A8B4C25DR8QE.SHT(U9T

(14) V W7XY:5>[ZT \^]L_^`^acbd@egfLhjiYflk3_mfLhi=n@_ oqpsrutvpxwvyy$z7{5|m}Crv~urYR€‚,ƒzs„7 =yw,t†zzu‡c€‰ˆ0€‚rvŠ.

(15)  

(16)   !"#$%&'$ ()*+'$, -!-./(0213$,4 5 $%36-.$%+74!89$%3$%5:;! $6<:9 -.$%%=)-!->? "*&@",5%:;2A9/1B-*  ",#$%4C!D(E$%+'"3FG 4&,-.? H$%7*  -.$%C:':9<-.$%C  :98% 28,I$(J K+L ",%MGNO$ PI!8,! =,Q2RPI!S9$ PTK*C U+WV/!$%$, -.$,9.X =9PT*&!*)&! :Y(E$%Z? "%Z TI [, :\=*&2Z<-*&?[%&]9^_!Z(E$%+`*&)(/%-.ZII -.$,+'4&5 $% 21K.X4 8%K ->a*a9+bC!T$(I$%4C!5$%&)4C!U4 $,29T@-.$,98%$%89" #+L"% PT*3c &?# !U2:9 -.14$,4 $,2$,  Q$L*PT?:9*$ (T*&$%4C!5$%<Md3K4$,4 $, *T4  4C!]e<-*&?[%&'$%.:9!f$a &? "PT*cK :9C-. :# :YX :c9+bC!I$( $,4 !. 2$,U4 ]$,4&U2C:9!4C! :9!921$ (Z*Kg!K$ (I*e !<MhT*KS%!1i$ (I$,]44$9%-*2f$ 44$<X+Lj2Z+7  U5[, !I*I4&$%$%/194CI &?)C2!jPT* >X;4C$%&!9? 1)b  :  !Z(k +721:94 !C:9"$%7*U5+'T.-! f(k%->$%Z*C '* &? UlE/M ]minI :*!c$ +'4&2+'!9Qoc.X %-.) :7 -.&8,aPT<1*K 44$<X2+c Z ! Mpfc2+74 $,. 9I4C$%9Z$ (* :9"%K4!9<:*&2Q4 4 G*C :9 2"fPT* ? q !J*C<8A"U:9W^r!9.-! R(k%-.$% l0kM am_nOPT2j$%f [,aPs:9!"%@2",$%2*+t)vuw x MThT*-.$9.yL-.!9]$9$%S, :Y(E$%f#*  -.8%  g $%c :9!+' :Y(EC-.$%c$(J*&].-! f(k,-.$,T$ (J<%-*@-.$,?:9! :c4$%$%/194   ! =_C +'217*c  =_O a C:c ->$% :3:98% 28,%MUz9$%+7]>X;4C!2+7!95J!&2 PT_b U*$ PTc$2&. ]*U.yL-.! ->1L$(* 4&4$<X+L$%K4$-.  :7$%+'U 44&2?-!$%& $a :;"%a:9 -.$%c4$,b!+'T C:+WV/!$%2$,a -*?[,!fPT2Cb -.$,?:9 :# :':;2.-. :_M {!|}j~9€R~A ‚6ƒ]„ :;"%a:9 -.$%G=_ T<-.8%e !2&" = †oWVk.-! U4!!95$%G= „  21c‡fˆV 2$,GM.

(17) ~ Q‚~  F  $, 4 ! 5$%3:9c-.$%98%$,$% :  2+c ",4  UK ' &!3a!

(18) : !  8 ! ! :  $%.:9#w = !T$,4! . $,'!]->$%. 9:T]:9$,+L ):;'. +'!9T:9!)+c "%!):9U?U89$%74  $,5:9 !<MZK$%4 ! 5$%# G.^_ -.  !    :;!f :9  :9 -.$%3:9#b)4 !!9a:&   +L ",%= :  !+L$%c:9!a-.$,+'4C$%. 9!U:9 ->$%&!2a:9!:9! 8  !a :  $%.:9cwK$% !3-* %[, 4C$%9 :;)  2+c ",I!T:9-!->G:9LFj 4?,-.!GMjhJ$,>(E$% =9:TL->$%9.XT+ˆV  -*!Z$ ' >X; K"%.  :KbC!$% :;):94C$% :9R !Z4 !!95ART? "%  ! !C:9)4  ? %=%-.f$%4  5 $%K  !8 ! 4  ?-. ! !+'!9T.yL-%-.:94C TU"%.  :7$,+b):  $,4 ! . $, K .^_ -.&!U!@-* %[, 4C$%9 :;  +c "  e 5!<M   -.c544C$%<=Z$%34$%4C$%#:97(kL44C! # ?c4&5 -.@:;3 . ",' <-.8%@  :9 !$, :9#-.+'4C$%. 9)4&$%b&  +':9'+72a3$A89%M#F  ?

(19) :  4 -.4 a! :  44$<X;+7!)! 4!+'!Q $%4  5 !Ie !'  [,T

(20) :   8 ! !Z4  I:;!4C$%19 $% +7!Q4 $,

(21) : !  !I4C I:9Q ! .X4C$%A!! : ! 4C! :A :;@+ ! +'4C 5+ ! mQ=J[,c-.!I[," !.$%K#$,2': $< -*&!2':&  ?K(/ +'ˆU:9!$,4 ! . ae !<&M %TK+'e!@$9!&8A :;a+c  !   ->28,!U.X %-. :;! $, 4 ! 5!&I44$<X+L9_-.!Q !2Q!Q!T.^_ -. ! %MZF_Z"%.  :<8%95 ",I:9T-.! 44$-*K4$ 89!9:9i(k )[,'  K+'U!$9!89  -.8%4C!+'! :  .^_ -.! $%4  5 $%@:9 -.$,98%$%$%!7K$%+b(*),+R :  $%4 ! . 2$,4 4C$%9 :  +c "% =<

(22) : ! 4C! :9+'+'AQ:9T $! !C:9 4  ]:9U  $%4 ! . !Z$%",2C /= 4C -.W- e ->_4  Z?8%2 :;'4 5 + ! ]mQM .j$%& -* ,[%&]$,4 ! .<V !)2G=%$,L-.$,? :  U!)44$<X;+c $,  U   $%.:9U:9!9XG=9$%)[%C )!Z$%c:9$%&)! :9W^ ! A-.$9.yL-.!9f29!8,!  9U: T!/   [,  $%T  -.!9!c(E$, -.2$,L:9i4  . +  UmQM Z$,A52!+'A- e   44$;-*)

(23) : ! 8%!$,44 ! f4  -> :9!+7!9):  uw x =% C-.U$%4 ! 5$%':9f199'*   :9e !U'  !2&G [,[,   :o$%@-* "%K4  . + ! amQM]F\!-.$9.yL-.!9e4 !+'!5Af? +72a6$9!897  ->28,#:9!K$%4 ! . !2a$%9a:9$, ! :9<-.!+7!9a3(E$, -.$, :9 4 5+ ! mQM  !) !&2. ]>X;4 ! +'A. 9Xcf 44$<X;+c $ ':9]:9W^ ! !9]$,4 ! . c(E$%C-.$%#:9  $%.:9-*$%/=_ [%&U  44?-!$%#:9-.!' -*?[,' i4$,b ! +':9K  .X5%->$%@:;! b):;/194 -.$,A$%] :  &]+c "%T!9Z?4 2U.X4  +'!9. :9-.544C$%<M 021C 4 356~ Hƒ„ X5%->$%B:9@->$%9$,<-= 7j25 ",#8  -.&W(5=f T!4 !A. 2$, †cˆV  -*!%= ‡f2$%9  .   -.$-.,M.

(24) 

(25)  

(26) 

(27) . . o  %H( = 1 7 , 9 (*)213%. -.H& *&:c'$,C'!?*:9)$ (U2+c$ (G +",a&24$WVk-.!!$,2&"$%K :H -*-.$%&+7[,4 Ma8hT9*&]$%+cj =K:; ",LZ +7$$%-.$%998,$%$(]8%T!* U5-2+c*B ",* TKPT2(E$ * V $,4 !. $%e$ (I -.  "#PT?:9*j= $%"c$%U*!!8%9q-* "%qU %-*3$%$%3  :-.$%+YV b"e*!+ 29$a!4!!9. $,L*  T-!'bC]& :7.^_ -.28,!1'b91K!Z4$;->!!u2w x u <x u x u  x M hT*+&241g! :3-.$,98%$%$%#+c S9f [,<:+L S,!]J*!' 44$A,-*&!a-.$,+'4. 2$,  1 8,!1#+'-.$%&+72&"'  :i*  U :c$%+7a *$%U$L,::9!*U4$,b!+ u x u x u x MUhT*U4 <V 4C!)4&!!9K ->28,C2!" -.&*C ):9. ?-! 1 :; -.!*)-.$%+74. $,  C.^_$%<M. 9z +7$9$%*&2&" =!4C!D(E$%+'"T*&  C:U ->$% ::9 -.$,  :9!8% 8,!J :-!19"U$%&G*& Fj 4?<V -.?@$(  +L ",U"#c &?c !"# ':;$%KPT*3&X;<:#9+bC!)$( $,4 5 $%U4C! $,4&I4C$%9Z :9!4C! :9A1'$ (G*U$%4C!5$,TPT:;*'& :_MQhT*&]S,!1$K$%& 44$9%-*'R T* $ (IL>X;4C$%&!9? 1b   :7 !Z(k +721e* )PZ!G 44$<X2+c T2#K+7  75[,  K* ? C2!T C:<-.$% :o*fU$ (Q*U -.8%f "KPT*?-*7PIf(E$, :K.X!+7!1.(0 #$%+'U$(I$%f48A$,UPI$,S#:9K$72) :9 -.<:3-.$%+745$%C G-.$,+'4.X/1$ 8%!f* U$ ($%  -.8%Y !f(E$,+@M U2-.$,+'4&5 $% 21.yL->2AK  :i [,!a+c 91'$,5:9$( +c "%&2 :9 (EPI!T-.$,+'4. 2$,  9!4Z*C ':9<-.I$,Q(E [,! -.1c:9$%+c "*&- 7   7&$%!hQ5/(E$,+M hT*Z4  4C!TI$,"9 g! :Z(E$%$ PT GpO(ET*Z29$:9 -.$%G=,*U>X;Z<-.$%cT:9!8%$, :Y$ Yb.(I4&!!95 $%$ (*K<-.8%e !2&"'4$%b!+M z; -.$, :9< )PT*i*4&!!95 $% $( $%+7q:;!"%i -*?[,!U*  fPT2jb & :iL$,5:9]$' 44&$<X+L )@K+7  c5[, K!& *'4$%$%/194  !KPT*6i"%!5 T 4&4$<X+L"'$,4 5 $%PT c+ $ ()PZ!"%*9 : .X4C$%A?  M)z; -.$, )*&!@:9!8,$% :#$*K+'4!+A. 2$,$ (*&"%!&!5 44$<X;+c " $,4 !. $%UPIK4$%4C$%K$7,Maz9 ->$% )*!6-.$, -.! :PT*i*K4!95$%$ (Z*e ! *  U* <8,abC!!(E$, :c$cb !a 4&4$<X+LU@7+' L.[,  !L :# U$%+'e"%8%!i$%5:;! l0kM  =   : ne*7*5: 4$,$,/1A4CC2! : (E$,+ *#6  : a:98% 28,! Mp :9.-.$%6 bC$%&]* 44?-!$%#$(  -*@ :;1@$L*4$%b!+ $(  :;"%':9! -.2$,6  :i+WV !$,2&$%3*!:;$%7b .(0$%cc-.$% ->2&$%GMz9$%+7C"%!aPTQ2. *L44$<X;+c $, 4 <M. . . .

(28) . . F 8>9 , = &«)+¬ 8 Zœ)Y5+( 8>= )Y%. $,H4 !.*& 22$,c -.!2?$, G=TPZ"ac*29$4:9& I-.i [,*#! 4&-.$%b&!2+ $K$*(]e$%<-.48%Ti< [%&!! 2-.&" M"#$ Z$%&?:9!7*@->$%98%$,2&$% "#%'&),- (+* - 3 ( l.w n 0 . 2 / 1 hT*f5/(0!(0 -.2$,$ (G*. b%=9-! &5 G :K$, -.&8,q:;2",5 91A!+ 2R"%8%!$bC4 l n 5 l76 (8* n% &9, (8* : 6 ( : : 0 . / 1 hT*Z9+b G$ ($,4 !. 2$,Q [, :$]-!?-.? I ,-*a$,4&G!!+7!9;9" l=E< nR-! bCZ.X -.!8%TW( PZ]:9< CPT2*? ",T!"%*?e> M67&$%>X&+'4%=,:9  "PT*'U*  W(G &?K !Z [,!T$,"%*1 K8%2&)$ (  mo(E$%

(29) >M.

(30)    ; 8 0

(31) 

(32) - hT*K4$- ,b!+ $ (Z -.&8,K !2&"L:9!"%@:9< )PT*i*:9!!+72C $,L$(I*& -.$9.yL->2A     :   $( K. $,  C. D(E!T(0 -.2$,c$ (J*U(E$,+  - - - 6 - - l n 5 l76 (+* n%w  .0(8 / * : . (  6 (+*  ( * PT*?-*#-*C 5,-.g!!U*&U(E$%$ PT"U ->28,19!+ $(J$%.:9!f  : 9" l=E< n2%  ,- (8*  \ l7< &n  ,- 9" l=< !n l n .0/ .* $c*  U*&a. $,  j5/(0!U(EC-.$% 5  l76 nO]>X&,-.19=C$%Ub  44&$<X+L !)@,-!-.$,/V : -.KPT*@-.5@!$,q->!$% 5 l76 n= *K(8*5/(0!f(E -.$%#$(I*K$,9Vk -.8%K19!+ ",28,!Hb91 M hT*i+'$%aPT?:921 <:B-.(+* !$% 27* BPT*?-**@-.$,!4C$% :;2&"+74 !4C$%! q->$%+'4C <:'b91'K /V/5[, a->!$%c* TT+'+ˆg!"#"%$f -*#*   "$ ' % ,-&)( l l*n+  l*nn $ l=% n .0/ 1 1 PT*!  l*nR:9!$,!Z*T+74Z!4 $,f$ (_*f19!+ :9!.-.bC :7bA1e*f5/(0!Q(EC-.$%  :",28,!1 c$Kb   l=% n 5  l76 (8* n '% &), (  l-,_n6 ( : : .0/ 1    "PT*c*a-!5J -.8%K19!+ "%8%!cb91   ,:c$ (*$,9Vk -.8%K19!+ wU :9 -.*eA&+b !T$($%4C!5$%f4 )$- %&4f!- !+'AZ(0$%+ > $7.f+@MRd3]*C<8%U4!9<: Buw x #4&$-. :9&c$3:9!!+72&*/    C: 0  -.$9.yL->2AK(E$%e*c+'$,-.$,+'+'$,1' :  !Uc :9"%:9! -.2$,+T hT* V  e ? 7  =CTC :c<-.$% ::9<-.$%C J:;!8% 8%!  :c V  Fj 4?,-.? c"#Y2< f5[, -.$%3  :i .yL-.!9)!4  . b  :i<-.8%. +'4&2+'!95$ GMCd3Z* <8%Z*$ PTK4  ?-.?J*  Q*!O !I-!b T.yL->2A1+'4!+7!9 : 'e -.&8,]PT<1PT*$,1 5:$,5:9T -.&8,)C2!<MINO$ PI!8,! =e:9!",'!4cI [, :Y(E$,  ,-*8% Z$ (JmQM  uw <x =2&<%:K$ (G:9 2&"]PT* -*'C2!ZPT*?-*'-! &$%bCT.X %->1 +'4&2+'!9<:'37 -.&8,'+L! :#PT*&-* [,Lc:9!2",@!4j=QPI4$%4C$%$c!4&,-. *!+ b91*ZT$(rO(k +721T$( !:9!8, :e(E$,+ $%Q4!89$%QPZ$%Se$% :;"%):9! -.2$,#uw x b $,T4!9<:#*!,MhT*T4 4 !T)-.$, -.! :iPT*#",!!. g  $%'$(*UPZ$%Sc:9$%&] uw x = 2C-.PZ]2+72C T* [,!+7!9T$'e!P :9!"%7(E$%T<%-*#mQMhT*U<-.8%!1c+'4!+7!9 :  !T*  TPT  4&4$<X+LT*&qe ? Y !T  :Y):9!8% 8,!IPTCb U.X4! :7(EC-.$% $(I*e4  . +'!UmQM)hT*.(E$,%=\$%1c$%K:9!",#!4@4C!f ]f [,<:@ :c*&A!<:  %:9)PT_$%Z* <8%U$4 !D(E$%+t<=9 -.PZUPT2C"%8,] _*f'*&2T4C 4C! M hT*7.X<-.$% q->$% -. : PT*3*4!!9. $,6$ (T*&':9!",6$ (T*&K !  :* PT<1$':9!+'U*2    :   -.$9.yL-.!9U  219- 1AM.  . -. -.

(33) .   9   9

(34)   U 8 &«) 3 %? 8:9<; %)2CD, 8 & hT*T -.$,L)-.$, -.! :cPT*L*U4!95$%i$ (J*a:9!2",c -*?[,!f* TPIU* <8,) : K$%5:;!I$a:9 PT**) 44&$<X+L $%U4$,b!+`4!9<:'K*f ->$%'b $ 8,T* J$U  : *T$ (I-.$9.yL-.!9    w

(35) 

(36) ,72c$,5:9!T$*f(E$,2$ PT"e$%4C!5$%  l Cn. ! <0%. :  l-n% , 8  1 .0/ (. 1. 7. l%n.  4&4$<X+L!j2KT+'< .[%C Z!$%R!)* e ? $,4 5 $% C::98% 28,!l_hT* .X4!$%2T",8%!7(E$,nMIhT*&U )$,U2)Y8%!1'2+74)9+7!?-!G "%$,*+`S9$ PTc$% 44 :'  19 uw x =%*U ->$% :c -*?[,U e$%;Vk I -*?[,U* TPIf* <8%f4!89$%&1 :98%!$%4C :# :7<:c(E$,T+'? R4$,b!+'<MQhT*? T$%)K4C$ PI/(Ej4$-.<:9K*C )PZU* <8% (E$, :UPT*]* 5E|Q  2b&5 1AM\hT*Q   :qj -*?[,T+c<1T  21UbCI+'4&2+!9 :fU$%5:;! $o:;  ZPT* -*34$%b!+Md3Kb   14!!9K* -.$, :3$,b <-! '$( *+'+g  ˆ$, -.!2$,'*  PZ$%S9$%*T4C -.5 Q:9$%+c   :K&$%*&)4C ? :9$%+c a*T*5:K$%&%M. . "!$#. %'&(&*)+-,*./1032.+465*78.4(9;:<)+4>=@?A7B/1C-2ED(+"F. pf44$<X+L"U)!T$ (G:5Ub91U+`$(GPI!",*A :K.X4C$%!9(0 -.2$,I:;ˆyL->4$,b!+  :+c 91 !9$%7*  ZbC!!c4  ?:K$%.:9!T$a:9 _PT2*' ',-!-.. U$%$,K(E$%Z*Z4$,b!+ uw x MMjp)) c.X +'4%=,*q(E$%$ PT"U*!U(EC-.$%&T"%8%f*. +7)O(E$%*HG G w

(37). . '. . l=%n *I l=l=l=   nnn  %J%J%J

(38)

(39)

(40)  44&wUwK (8 (M/* QL PR LN '

(41)   

(42) V 4

(43)  7(M O $ (TL SKQBSP$Lw  

(44)  w 

(45) 4   7(P$L   ( Q PL   ( Q WO L   (MSUQ X Y$L  O pH+'4&2R+'!*$:f(E$%Q$%892&")*&244$<X+L$%f4$,b!+ Q*&(E$,2$ PT"T$,Buw  x Mjp)+V "T*j(E -.$%" %ZI\l7C n__"%8%]f [,?:959_4 $,29GPT*U*& ->$A$,5:9 !Rl7 /  " / n  l=  " n 

(46) K

(47) U

(48)  l= :  " : n= PT*[

(49) %  / ]\ =9PT"^I\l7C nI   $  c

(50) U

(51) U

(52) *   :4&"gf [9% * [K * hLji  :lkU[9%mUn 1A!?1 :9R(E$,*\9%Z  w  

(53) K

(54) U

(55) *  o _AL *f(E$%a$ `bPTL " [,  $%& de L h pqqq f wtf Z

(56) u

(57) 'f % " / r f M k cf $ k $ v

(58) 

(59) 

(60) Vf k % " l=% n Q   * qqqs MM * * f k cf $ k $ m

(61) 

(62) 

(63) cf k % "    * *  hT*4$%b!+=QSA&$ PT6$%B44 :6  19 K*xwTy z{| +}~z'€ +‚ƒK„ + †]}‡za} +ˆE A‰c*! $%8% :cZ(E$%$ PT9 Z$%& -.2&"*U(0$%$ PT2&"]4C$%19$,+'? + lk Šk n.lk ck $ n‚

(64) u

(65) 

(66) 

(67) Wlk ‹k nZ % k    * k  (+* Z

(68) 

(69) 

(70)    Z% Œjlk,n l5wU%n  * +419"U'&cb91    

(71) 

(72)     / % w,=  :c%:&:9" =,PIe$%b.    (8* * I. I$.

(73)   9  9

(74)   . %   " /    +( * " * Z

(75) K

(76) U

(77)   * "  (+*   / "  %Z l5w,w n MCz9 -. o j+ -*]+7$%+c ! *  ,Q=<PIZ"% O!P  [,  2$,. Œjlk $n f tŒjlk $ nf $ v

(78) K

(79) U

(80) cŒjlk n f. * *  ->*Œjlk [ n%v  \9%. . . w  

(81) u

(82)  o W(JPZU*W(EZ*&]$,"%ca:95 C-. $*U"%*9 M O!4C  2&"a* =9PZ]",!T*&U(E$%$ PT"U19!+. ""  (+1*   * " "  ( $  N$ Z

(83) 

(84) 

(85) 

(86) 

(87) 

(88) " " /  %'%'9" 9"  $ r M  l5w n  (8* *  & * qqqs MM  * " : (+*  *  " : ( $  $ Z

(89) 

(90) 

(91)  " : (    % 9" : hT*! , o  w [, $%U o S9$ PT&    

(92) u

(93)   K*@$%8% :ib91c+' )$(I*  /V/5[, !+7!*&$;:\M3hT*!HPZ'"% k  k $ 

(94) 

(95)  k * (E$,$ + wK C: [ % : n h M 7j  1#PZc"%! f  f $ 

(96) u

(97)  f (E$%+ *1A!+  bC$ 8%,=  : * [f(E$,+  [9%mf [Uk [ ( i M * p)U$,  :ib91#FG C-.g!$% uw  x =C*& :9WyL-.&2/17$ (I*)2+74UA&+'!- J"%$%*+ ]-! :ib91 *f(k%-.T*  Z*&$,2&$%$(J*& [,  $%R(E$%T*-.$9.yL-.!9 Q -!-.!<:9$%&21KW(J*: . . . pqqq.  . . . ",28,!'PT*oe8%1c*"%*c%-!-.&5%->1AMQdB*o'*",*'$%.:9!fL* $-.?  :c  Z19!+ bC -.$,+'! $$%&"%1aS%!PZV &"%? R* I %-!->5,-.1'-.$%+74!21e< ?-OPI$,?:bCT [, :_MINO$ PI8%! Z+74->2/1e+L S,TT+'4!+7!95$ a< 17" 0   50~ $, 0  Q~9‚3   k

(98)  (E$%Z.X  +74)  : *# 44$<X2+c a!7+L<1#bCc : $,16 K2&2? T-.$% :;2$%-.$%L$@*#%-.  T$%2$, PT*L&"$,+'f2!58%2",$%2*+'T*$,PZ U",$%"K$4!!9<M "!

(99) . %'&(&*)+-,*./1032.+46.462ED(Cm78&@C T2)0^F(+/10 .4. -. -. hT*fb -.2$,@)-.$, -.! :PT*ib  1c4!A"'* "%$%*+7-Z4&$-. :9&K* )PZ* <8% 2 %:;1 :98%!$%4C :Y2 uw x (E$%! -.2&"a*T8% !R$ (G*& 0   :K*    -.$9.yL-.!9Z"%$ 8,!&2&" *T ->28,)1A!+ "%8%!Kb91 C-**  R*T!$, "%$ZQ+'+a&+#M %T".Q !8% Q*&!$%!+@= $,-! c<%:91'*$ PB*C T*&!$% " $f+c<1abCU!PT2!3 R(E$,2$ PT "$. %. 5 7l 6,n  5 l=6%nn $ < 06 6. ,l . 6.  . . l5w n. . PT*!#T*&]&)-.5-.U$ (*& ->$%+'4&2>X'4? %M d32&"  l ,nZ -*#*  . 5 76. . -:. l5w  n 5  l=6%n% ,- 6  .* -  % w 

(100) U

(101) U

(102) , ]  : hT*Z4$,b!+t-!LbC- )4I9$/PZ$K4  j p $%72< 4$%b!+ 2 K I4$%b!+  -  % w- 

(103) U

(104) K

(105)  , AMjhJ$K*&2T :_=PZU4$-. :# Z(0$%$ PT -  1':9!8%$%  : =%I- 'bC)*$ PT*C Z -*Le-.$%+74.Xa    % w 

(106) U

(107) U

(108)  , !. ". (. &%. '. . +I& -.!5 21c. D(E1*q(E$%$ PT"U/PI$VD-.$,4 :7)$(J [, $%&. #"$. )". &%. %. '. '.

(109) .   9  9

(110)   5 l=6%n  5 l76,n  6  w -  %Z (E$,TS3%aw,=

(111) K

(112) U

(113) .=  5 l=%6 n  5 l76,n  l=6  w - n $  %Z (E$%ZS3%aw,=

(114) K

(115) U

(116) .= . # l5w#%n l5w %n. . . PT*!

(117) K

(118) U

(119)  :9!&$%)*&5-!? T4$;:; -. M )-!LbC*$ PTc*!c*  T*T4$,b!+tT/PZ$ (E$,?:. . w%MZp MZp.  $%72&  T1A!+ $(Jc [, $%T % w 

(120) U

(121) K

(122) , 2&  Z19!+ $ (Qc [,  2$,T  % w 

(123) U

(124) K

(125)  , ". #"$ %. &%. %. '. '. p)i2!58%U.-*&!+'UT*#<:c'$%.:9!f$$,8%U*e$%9V/  Z19!+MhT*T<-*&?[%&%= 4!89$%21:9!8,!$%4C :' :K :7bA1K*&] &*$, uw x * IbC!!Y(E$%& :K$K4 /(E$,+`8%!1PI2/M  4$%b!+ 2T*  TZ -.. U(E$%Z*& ,:9!f29!! :obA17 -*c4$%b!+ a->!. @ +7$%9$( +'4&2+'!95$ KPI$,S'*  T+c S,!T!).%-.8%U* c*U.Xf$%UPZ]4&$%4C$%U$] -. T K+7+2g< $ K4$-.<:9e(E$%+ *PZ!_SA&$ PT 50|J  2b&5 1AM. . "!. %'&(&*)+-,*./1032.+46.462ED(Cm78&(0e2.$0 ‡F(+/10 .4. > . ON ! U+7+L g! :e$%+7T9(E$%+L$%:95-.2b&2&"*f$%&@  $ (G* 5E|Q  b519M U!!9?21#?:9A?-! Q$i*Kb&$%&

(126)   @* )$% .Q*91A?-! FGb $,5$%1 pf2",$%2*+'ZF_b519M T)44?-! bf$4$%b!+7I$(J*&)(0$%+. . . % ,. < 0< < 6.  , o   l#n  lI l#nn $. % *. .*. PT*! l    

(127) K

(128) U

(129)   n s=     :*(0 -.2$,^I l#nK 7$ (E!3>(E! : $  )?:9 2<M L$,]44$ ?-! $%(0$%T*&a 44&$<X+L $%K$ (*K ? 7 !T(E$,T.X  +74%=9PI * <8,U*f(E$,2$ PT"U.X4!2$,#(0$%Z*+ $( *U!?:9  . &. . : .  / , , * l5wU%n  %  l  `  / / : : .0/ ( `  ` .0/   (     n $ 7&$%+`f52&"]4C$%9

(130)  &44 :Kb91*Z! =9*T$,Z"%!&!5!Tf [,!C-.U$ ( 4C$%9  $ =  =u

(131) U

(132) U

(133) 5= PT*?-*2U9!C *:9  :$#-.$,98%!"%$#7$-! +7+a+ $ (  l#n!MKhT* [,! ->L$( 4C$% 9 TTO  "%8,!'b91 - -  %       - #   l5w#% - n  & * PT*!I*Z8% -.$% 2Gf:9 ->$%$( < 5-* -  :H J-*$%!K -**    l @  l  

(134) 

(135)    n. ) 4&4$<X+L!1aK+7 2& 2+K+ PT*c!4C -.U$. .  .  .  .    .

(136)    -9

(137)  hT*8, -.$%   :@:;!4  :9U4C$%#*<:9 -.2$,@c*&+YVk$(?V/5[, -  !T$%b&5 <:L:;" *? G!- . 2$,GM   ( *&+YVk$(?V/5[,  !_PT G9yL-.!91f :9C-. :_=,*  Jq44$<X;+c $, $'*& DV >O!PT$, :;2 -.2$, $,*!PT'%:&:9$% C(E ->$%!8%   $%& ) K+L,:9U$# f$ !C b  $bCK+'$,],-!-.. a 44&$<X+L $%K$K* O> !PT$,#:9 -.$%GM hT*#+7 ! *&$;: ':9!", :H$@!&@*   ,:91H4$,"%'+c%:97PT*  !8%!7*c5 " 4C$%9 = :7$K* <8%U*&54?:+c )->$%98%!"%!C-.a$( O> !PT$,' T+'!*$:_M .   . . . %. I  B W 5 8zBh8 %H($.>(*)+1K%. PZc)4*&$2%f4C$% ->]$%$aG=C&PZ)a7-.$,$%5:;?:9!T!f$a* 44$*;<X;Vk$,+c5:9 !f$Z%*&>qVD:9e+7 !? $,K   C.!X)4 $, :K!9? 217)b    ::7 (E-.$%CC-.:L$%:;c!* 8% <V 28,!T  ::98%!$%4*)4&$-. :9&U$>X&,-.1+'4&2+'!9_*&2R IU ->28,UP <19MGhT*&T$%5:;! *C Kb !-*$%!Hb <-! c$ ()*&'!<:(E$, 3*"%*6%--.5,-.13*C -.$%?:bC' [, : 3* 44$<X+L$%K4$;->!<M. . "!$# . 8/1&$Ce/ Ce4>2032E.$+4 + 0 0 5(7 0‡78C

(138) "5(Ce4 C. 7Z(E$%*a$ -PT U'PT**U"%!*U5$% 5:Q;-!! TU'PT)*-!*e$%!*c-.$K$9.b yLU-. [,! 9_ $ I =9 :*8UJ+$%c4C!<.1a bC$,-.$% +7l-,_4nI.-X cbb )U-.$,!PT!."9 !  1 '$,5:9)$':;  _PT*c  Q-.$9.yL-.!9  l5w#% n  l-,_n% l / -.$,!l m / ,_n) _l m / ,_nn  i :  lf / -.$%<l m * ,_n) f _l m * ,_nn$  _ : ( ( * * 1 hT* K6 5/(E$,+ $(*U4C$%28,U4  T$ (J -*#$%4C!. $,TT*!c",28,!c$Kb  l %n  l76 (+* n% w , / / 6 , *  * 6 (+* 6  $, $ $ 6 ( $ 6  , O O 6 M( O 6 % $ $ (+* ( (MO (MS PT*!a*a-.$9.yL->2AU$ (*eA&+'!* .* $,  :c*a:9!&$%O +'O  $, , S S  : U(E$, :7$7b   , Z %   _ $  i lf 2\l n 6-.$%l nf / n c  i $  _ l _l n 6-.$,!l n / n , O $ O$ % (  i(  _ ll * /  f  / _ n-.$, l  n-._ $, l  n 3( -.$%<( l  n * _l   i n 6-.$%l   i n$f _l  nn _ i _ * i i * _ l w n  f /  $  i (  ( /  $  _ ( ( , Z %   lf _l  _ n+6lf /  / n-.$,!l  _ nn)' (  i l * 2\l  i n  l f /  / n-.$, l  i nn , /*$/* % (/  _ f / * %  $ i $ _ v S S %  ( -.$%<( l n$  i $  _  -.$,!l n$  _ $  i l, n O $ O$ %  -.$%<l  ni -.$%<( l ( n  i  _ '  _ $  _ ( '( $  i %*$*   (  _ _ ->$%<l  _  n i  (  ( (  i -.$%<l ( i n ( . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

(139) .   9

(140) .   . . wU. . hT* ,:9U$#*K(E$%$ PT". bK(E$,*@$,5:9U !e -.&"i(E$%+ *.(EU$c*'2",*9  :c:9!5->b  b&2e27*U2+7.V:9$%+c ab91*U(E$,2$ PT"f(E$,*L$,5:9):9W^r!! -.K [, $%. +. " - % , /$/  -  , * *  - (8*  , $ $  - ( $  , O O  - M( O  *$* " - 8( *  $ $ " - ( $  O O " - T( O  S S " - (TS  a% w,=l M2M=> n . "!

(141) . . . . 8/1&$Ce/ Ce4>2032E.$+4 + 0 4(+4 0 5*780‡78C

(142) "5*C34 C. hQ$ 44&21K$%&I:9!2",$aq$%9V-!5 +'4&Z!4 $,%=&PIT*C<8%T$e4 !D(E$%+ $,+'Z$%4C!5$%&$ 5 &/(E$,+ 2T9$'K+ $ (I-! &5 Q [,! -. MfhJ$K*&2f! :_=&PIe4T*e2+74f!4 $, l*n 9$K/PI$*C 8%! *l nT : *l nZ -*L*   *l &n *l n  *l nT :7PT2*. 1. &. 1(.

(143) %. 1. 1 l-n  1 &  1 (.   % l n 1 E ( % $ ZS  1& l*&n%   l*n (E$%NTS  l %n ( 1 l*nj  : l*nj  -!59PT2*$%4&4 $,T1 :9 ->$%  :qPIT-! K-.$%+74ZT<-.8%T19!+ 5 & 1l76 & (+* nT  : 51 ( ( l76,nZ* <89"a+74f!4 $,!-.$,U$ & l*nT : ( l-nZ4C -.8,!1AM 1 $ , 61 ,  , 6   , 6 l % n 5 & l=6 (8* n% w /& / 6 &*  * (8$%*$ 6 $ $& $ ( 6 O & O T( O 6 &* * (+* & ( & & O O M( O S S T( S l %n 5 ( l=%6 n% w, (* * 6 * 6  , $( $ 60$%$$6 $  , O ( O 6 O 6   , S ( S 6 S 6 (* * * ( O ( O O S ( S S hT*!@/PZ$ 6<V/. D(E$%+'-.$%!4 $, : $3/PZ$35 $% T19!+ . D(E!(0 -.2$,$ (5 b&2 (E$,*9V/$%5:;!f !] -."7(E$%+ *K.(E)$'*",*AO(E$%f*-!5G<[%&! -.  =;(E$,+ * 2",*9]$c*.(Eq(E$%U*&' 9?-!5 [, -. L   ::9!5->b  b&2*7+'>VD:9$,+L<'b91* (E$,2$ PT"U -.$%C:c$%.:9!]:;ˆ^_!! -.K [,  $%# -" % ,  -  ,  -  ,  -  ,  -  " -  " -  " -  " - S3%aw,=M2M=> -" & % , /& /  - &* , *  (+- * $%& , $  ( - $ ,O & O  M( - O  &*$* "& -(8*  $%& $ " & - ( $  O & O " & - M( O  S & S " -& M( S S3% e> l =M2M% =wn ( (* * & * $%( $ & $ O ( O & O - S ( S - & S - (* * ( & * $%( $ ( & $ O ( O ( & O S ( S ( & S l %n " % " &  " ( S3a% w,=M2M=> l %n. l*&n. . . . . . . . . . . . . . .  . dB* :9< "TPT*1A+7+'!?-! $%J919+'+7!?-!  ! =%Q2jG*& -!R(E$%j*T  !  :c]:9!8% 8,!)*  UPZP 9)$c 44&$<X+L %MZ))& -.!513$c 44&217/PI$7+' *a:9!"%c4$-.<:9,MId3U*&U(E$%$ PT"U!?$%TPT*L19+'+'?-!9 )c$%.:9!T$,T$ -.$,9T/PI$+'!Z*-.A5G4C$%9. .

(144) w,w  9

(145)  

(146)      '8 0 )  

(147)  9  % <+% w 

(148) u

(149)   , ( % , &  , / / <+% w 

(150) u

(151)  l w n , ( %  & , / /& & <+%  ( & &    "7PT2* 919+'+7!?-! \ !a U*&K a:9!28%8%K$ (T*&' ? j=_ %:9U$#* (E$,2$ PT"U!? $,Tb /PI!#*K-.$9.yL-.!9  %% U& l*,  , n <8<8%% ww 

(152) 

(153) 

(154)

(155)   ,( ' l, n , ( % , &/ / & /$& / <8%  ( & & . . . . . . . . . . . . . . . .  WW 5Y) 9 .>(*)21K%($1 ( ;48 .6,'&‰&«)2.6%#5+( 8:= .6% 7 )+($& 78>= )+¬J.>(*)+¬ 8 &. . . hT*):;!"%'"%$%*+7J:9!.-.bC : -.$, * <8,Tb !'+'4&2+'!9<:U$%z9;V PZ$%S95 $%GM z98%!. I:9"%ePI!a4C!D(E$%+' :i$%*c(k+'1K !a  : w.V  $%4+'g  $%' %:;21 $,b52& :#PT*#8% 2$,U$%.:9!UGM†c$%1#:9!2", "%$%*+ -.$,98%!"% :. 4?:91c$c'. 2D(k%->$%1 $%$,'PT*Y(E!P 2!5$%& M hT*Z"%$9$:9!$ (C*T 44&$<X+L $%TQ+'  :Ub91U*T$,+c g! :f+' U5[,  I$,"%8,! b91 "%$fC-*i* . -. l n % & .0/ l 1 - l*n+ l-1 n  $ l*nn $  & 0. / PT*! l*nT :  l-nI:;!$%*&]4&$%$%/194Ca  1 :Y*44$<X+LZ !f!4  ->8%!19MhT* $,5:9!K$ (T*&' 44$<X2+c 2$,cP !K$ , %   :    : %-*3$()*':9"%63wU%m g!  !IPT Z1  :ilE/M 9>91 %KwK,m_n MJz;2C-.U*U ? KC2!T*  ZPZ)PT 9$ 4&4$<X+LT  " $ . !*!U19+'+7!?-T$%U 91A+7+'!?- =,*:9!"%@2",$%2*+ * )bC!!3-!  :i$%f$%#*a-!5 4 T$(J ,-*7 ! MQhT*-.$9.yL->2A)$(J*&]&!"A8%U4 T U 1':9!28, :c T.X4?2& :c* 4!89$%T -.$,GM.  !$# "/1+"+ 2D*.$4*9 0 5(7 78.$0 4 b2EC3). hT*w>V  ? 7 !TPT?:921& :cc 1892$%'T",28,!'b91.

(156) l= n%Z ( `   ` `.  . l n.  U-! &5 _4C T*C TbC!!@44$<X+L :Yb91*U(0$%$ PT2&"  :7$%.:9!  $,4 5 $%  l %n

(157)  l7C n% l

(158) 4  f  l

(159)  4  m n) w

(160)  9  < ,jl

(161)  4  m nn (+* Q $ Y  PT*#K$,+L2g :+7  75[,  !$%f$ ( "%$

(162) % 

(163)  4   +c  MRhT*T!U-.$%!4 $, :9U$ *$%$,b5 :2&"L**&2.:3:9!2",3 -*&[,PT*6'!K$ (): .' ->2C:9"3wK 4C$%9 .

(164) w  9

(165)  

(166)      '8 0 )  

(167)  9   :'m% wU e27$%.:9!)$a*C<8%",$9$;:7 44&$<X+L $% T 91'.-! %M  TT-.  T*  T*U$( K!)$(R:& 5K ->2C:9"(0!P 4C$%9U Z(E$,T.X  +74awKK4C$%9TPT*om% wUPI$,?:7"%8%KbC!! 44$<X+L$%K(0$%T*&a &?'C2!]T*e :i5- bT&$%]T$%*!).-! !<M-7&$%T.X  +74 *U(E$,2$ PT"UTT$%b.  :7W(JPZUe$%1#wKK:5K4C$%9ZPT2*#m % w%M d3K* <8%K$%b.  :o*K(E$,2$ PT" 4&4$<X+Lf !UPT*37$%+L2g!<:'+7  i5[,  a$, $(+" $ % 

(168) wK  ,  c   l % n

(169)  l=  n% lf  l

(170)     m n 

(171) V    < ,jl

(172) V    m nn$ (8 * Q P P Y  Z  1#*f a 44&$<X+L !T8%1PI!Q*&' ? i ]PT* cm% wKb:9$9!e$% 44$<X+LfPI!Q'7 !fPT2*@m ` % wUK(E$,T.X  +'4&2,=bC -! &K*K+'+ˆg< $,':9$% * T$%TbC!!:9$%U$,oe;yL-.!9)9+bC!I$(J4C$%9<M . . . . . . . . . p)Q*&4!9<:3U* <8,bC!!$%b.  :c#$,5:9]$'PZ! 44$<X2+c )*&a4$%$%/194   !U T 91'.-! %M %T" 5:H$,5:9!7$%4C!5$, =fPI#*C<8%c$%b.  : *c(0$%$ PT2&"@ 44&$<X+L  !'PT*B $,+c g! :K+'< '.[,  !$%T$( "%$ 

(173) A w +‹.

(174) %    4 

(175)  l= n% w

(176) 4   (+* Q P P Y  6l

(177) 4  f  l5w

(178)  4 m n Hw

(179) V w  < ,jl.w

(180)    m nn (+* Q P * $  l %n hT*O(E$%$ PT"T$%4C!5$,*  *$,5:9!  M  *  Rb !'$%b&5 <:PT*'f$,+c g! :e+' 9V .[%C e$ (+"%$

(181) % 

(182) 4   4 +c4

(183) U ll=

(184) n4%  l5f w

(185)   l.w f

(186) 4 l

(187)  n)'w# L

(188) n 4 4 

(189)  < ,j l5w <

(190) 4,j l

(191)  nn$w#  L nn$  (+* Q W$R O  l %n L  L (8 * Q W O  p6 -.8%T  g $%U$ (C*!I$,4 5 $% - K  21fb Z4 /(E$,+'<:U"f*Z:9W^r!! -.T<[%C<V 2$,_"%8,!UbA1 & = & = =!*!? $, w,= ,  :fb91)4?%-."T*I-.$9.yL-.!9Il /   f /  f   /    /  n b91'*!)-.$,4C$% :9"78% f.X5,-.<:7(E$,+t* 44&$<X+L Z !) :7 [,  $%3* w  * * * . . . . .  !

(192) . . . .)72 F(Ce).0e2. C'+ 0 0 5*7878.0 4 )2Ce). pf$%*!$%4C!. $,3PT*?-* $-!-.K(E [,A163$ Ps!8,!Z8A2$,3a*L:98% 2$,GM#hT*&2K!4 $(E!i$;--. (E!f+7$A$,*"CM ( 1#*&a:9!28%8%U$ ( ->$%98%$,2&$%G=9*]-!#bCa:9$%&ac$% !4#b91c-.$%98%$,8A"e*4&T"%C _PT*c*&)CU:9!28%8%U$(J*&+7$A$,*"e$%4C!5$%<MhT*  ,:9T$*f(E$%$ PT"a:9!8% $,'$%4C!. $,. . .

(193) l7Cn% M  ( `   ` `. l %n d3)*C<8%T$%b&5 <:*&T(E$,2$ PT"  :K$,5:9!)44$<X;+c Z$%4C!. $,IPT*'U$%+L2g!<:K+' 9V .[%C e$ +( "%$ Z

(194) V +c  I 

(195)  l n l @

(196) Kw  Uw f  l

(197) l %n m )n  w

(198)  ,j l

(199) m n$n  3Q XO O R .

(200) % 4  4 = %. I .      .  4 <   4  (. .

(201) w  9

(202)  

(203)      '8 0 )  

(204)  9  %T"L 5:c$,5:9!f$%4C!5$, =CPIe* <8%U$%b&5 <:'*U(E$,2$ PT"K 44$<X2+c )$%4C!. $,)PT*# $,+c g! :K+'< 9V/5[, U$ (" $

(205) % w

(206)     4 c  I

(207)  l=  n% w

(208) 4  $  Hl5w

(209)  4  f  l.w

(210) 4   n c

(211)  4    < ,jl5w

(212) 44  nn $  l  w n m m (+ * Q Y Y (+ * Q S S hT*c(0$%$ PT2&"  *B$,4 5 $%* 'bC!!B$,b5 : PT*HPT*B$%+L2g!<:+' 9Vk.[,  L$( "%$

(213) %

(214) V4    +Š  I

(215)  l7C n% l  

(216)    f  l

(217)   w# n+ 

(218)  w  < ,jl

(219)  w# nn l 9 n  L (+ * Q P $ W  el

(220)     f  l

(221) V  n)'

(222)  4     L < ,jl

(223) V  nn$ L  L (8* Q P*Y  . . . . . . . . . . . . .  ! "C +4(F. . . 2C3). F(Ce).0e2. CN+ l0 0 5*7878.0 4. ( 1@*':9!8% 8,a$ ()-.$%98%$,$%j= *' -.$, :3:9!28%8%K$ ()c+'$9$%* :c$,.V:9+'!$%  2",  G- cb K-.$%+74<:':9<-.1cb91'-.$%98%$,8A"K*&]4&T"%C _PT*c*&] -.$, :#:9!8% 8,]$( *+7$9$%*&2&"$%4C!5$,T"%8%!7$bC. 4. .

(224) l= n %. . l.w   l m n $ n  ` l n ` ` d3U* <8%U$,b52& :7*f(E$,2$ PT"  :  44&$<X+L )$,4 !. $%fPT*LK&$%+c g! :Y+' 9V .[%C e$ (+"%$

(225) w +c .

(226) % 4  

(227)  l=  n%. . . . (.  4 <.  / ( *. . l5w

(228) , f  l.w

(229) , m n ‹

(230)   ,jl5w

(231) % m nn$ Q Y O S  l n hT*7(E$,2$ PT" .: $%4C!5$%*C bC!!B$,b52& :3PT*Bi$%+L2g!<:+' 9Vk.[,  '$ (#"%$ . w

(232). . %   4  c   l  %n 

(233)  l7C n%'*

(234)  4 ( / Q R SP X   l5w

(235) V f  l.w

(236) 4  m n Bw

(237) w   < ,jl5w

(238)    m nn (+* Q / O $  hT*7(E$,2$ PT"  *H$%4C!5$%*C bC!!B$,b52& :3PT*H$%+L2g!<:+' 9Vk.[,  '$ (#"%$ %

(239)   w w  c4 

(240)  l7C n;% l w

(241) wUf  l

(242) V    L n)

(243)   w  < ,jl

(244)     L nn (+* Q $ S  l  %n el

(245) %%  f  l

(246) w 4 n Bw

(247) V   < ,jl

(248) w   n$ L  L (8 * Q O * S  . . . !. . Z+)/60 $.. . . 032.+4. . $,b5$%.:29&! :$o@:;$, 5: 9!KPT$i*@5 $,+/c(E1@ og!"% :Y8%! 6!->$% =jPI5K* A< 8,M8a7$L$,.-!. X  +7 ,4-%*@=C$,(E$,4 !. *&$%b+'91#$9$,**K(k"7%->$%$%4Cg‰!5a$%| +!=  :c$' 44$<X2+c I*a ! =&*U(0$%$ PT2&"q->$%5ATT",!!. 1 [,<: .

(249) . 0 9

(250)  

(251)    

(252) 

(253) 

(254) . .  . w. . ,. %.  f   l (.  l-,_nn. . . w. l % n. :.(( 1 7&$%K*#:9!8% 8,'$%4C!. $,<=I*7(E$%$ PT"#-.$%&. 9a [, : 6$,5:9!$3$%b. 6  $,4&T [,  j$cwUPT*!c*e2&4TI*2",  +\ l*,_n% ,  l  %n  f l , ( ,  l-,_nn% w :.(( 1 dB*U(E$,)*a -.$, :@:;!8% 8%$,4 !. $% =\*e(E$%$ PT"a-.$,529U) [, :i#$%.:9!U$ $,b52c c$%&4T<[%C _$ PT*&!c*4&IT*",  0_ l-,_n% ,)$  l  % n  f  l , ( , $  l-,_nn% :.(( 1 p)*!'&+'+L$%&)-! 3bC'-! ?-.& : C:*'44$,4?5- K(k%->$%g‰a| +-!3*!  1':9!28, :7(E$,I<%-*#$%4C!. $, =&"K*q(E$%$ PT"U!  . . ,(. :.(( 1 €. 2\l m n. (+*  . -.$%l. %.  l-,_n. ,(. . . . ` Bw . %. ,  l*,_n. :.( 1. € n   ( Hw  m . .  .  ` . . -.$%<l € m  n. . 

(255) -.$, l € m  n $ .  -.$,<l € m. . n$. . . Hw c `  . . . ` ‹ ` 6-.$%<l. ` . . 7. (+* €. l %n . m n $  w. ->$%<l €m  n   ‹  . (8* l7&w n. hT*7*5:i&+'+L$%c$,U"%8%!3*&!%=QbC -!78,!1$%"CMp)*!7+7+L$% -!cb < 1'-.$,+'4 :&" 0  50~ =9(0$%Z.X  +'4&2,M. V  WW 5Y) 9 .>(*)213%h($1  7  8 8 ( 8>9 (0)213% z98%!. _+'*$:9*C<8%TbC!!'4&$%4C$% :7$%5:;!I$.X.%-.T*)<:9"%!R(E$%+  +L"%I :+7$%J$( *!+ -.$%&?:9!Z!+L !$(r*Z I$,<-.$% :7:9!28%8%Z$ 8%$,+'Z44C$% *&) 44$%4?  [, A/1$-*  .%-.!g!U!4'<:9"%!<M T!4 <-.8%219=94C  S  :Kg!$VD-.$%"%):;! ->$%)f*! 4C!/(0$%+7 :7(E$,)*.X.%-.$%4uwK x =u .x =QuV x M)hT*f -.$%@:9< UPT2*#*&a 44&2?-!$%c$(I* 44$<X+L"U$%4C!. $,f4$,4 $, :7c*U4!892$,) -.2$,)$a*4$%b!+ $ ( :9",q:;! ->$%GM.

(256) #. 

(257)      0.    "!$#. . w. . lF(9Ce7  )+/. 2D(C. . Ce)+ )+7878.4(97. 1 *#:98% 28,''$ (]->$%98%$,2&$%G=Q+'$9$%*"c*c4&a+L"%KPT*6*Le ?   ! 3

(258)  l o n

(259)  l-,_nU  :#- ?-.? "*FG4?%-.?L$(*K+7$A$,*<:c!-! #bC:9$%K $,U4#b91L-.$,A8,$%89"*&]4&T+L ",TPT*c*f(E$,2$ PT"f !.

(260) %. (. Kl ox ,_n. % 

(261)  l*,_n

(262)  l o. . 7. n   

(263)  l o n

(264)  l*,_n l n hT*O ! 

(265)  l

(266) n :

(267)  l

(268) nZ )*&$%U-.$%&?:9! :72*U48A$,I -.2$, MT?-.? 2&"* Fj 4?%->$ ( ' +c "%Z*&$%&"%*c*Z -*&[,ePT2 [,aqX :79+bC!$ (Q$%4C!5$%&T [,   $%",*1$#w ,#$,4 5 $%T4C!)$,4&)4C$%9)lZc2T*U$%.:9!)$(*a44$<X;+c $, nQ-.$%+74   : $ , mo(E$%Ta:;2 -.f2+74!+'A. 2$ 7lk+'"*  T*f !Tg!U2):;!!+' :7b91 -!" *U2; U ? Y !) m_nMQhT*!>(E$%qK. 2$K$ ( $  I"9  :YPT2*'*T -*?[,%M I -. )*  T#K+WV/!$%$,'-.$%9>X;fPT*!*e! :7(0$%T? "%U8% !Z(0$%)mT [, :_=C*  -.8%+74!+'!9. $,aT4.(E!. b%M  $ Kl ox ,_n. . "!

(269) . lF(9Ce7  )+/. . . 2D(C. . :. )72cF*C3). 032. . C37 . pt->- ZP <1$#>X;5,-. :9",! $-! Z+L X;+'K3*&'"%.%:9!9a:;2 -.2$,6a:9$,b91@4C!DV (E$,+72&"'L->$%98%$,2&$%c$%4C!. $,@PT**&K a:9 ->$% :9!8%8%!U$( *' &?c !<M hT*K$-! Q$%!95 $%$ (I*a<:9"%U*@. S%@$LbCK*':9 -.$,@$(I*. ",!9 $%"7* -.$,9$%&)c*+c "%T4&%=C  :c-!#b K-.$%+74<:(0$%+ *UCU:9 ->$% J:98% 28,! MZhT* ",5%:;2A+c ", :9+c "%K*B$% +L X;+c&44<:BH*c.X ,-."%.%:9!9':9<-.$%  :*!*&$%?:9 : PT2*3*91A!!<=/M aW() 91@4C e$ ()#-.$%9$%ab $ 8,'7*"%*3*&!*$%?: = *  T4C$%9TT2+7+' :;!1$,4& =C )T*!9!",+'!9T$( *-.$%9$%fPT*?-*#-.$,95 f* 4C$%9  :iPT*?-*32!b $ 8, c$ P *!*$%? :  MYhT*$%+L X2+'e&44$,65-*+'! Y.V/4WX;G!",*AbC$%*$9$:#  :o [,]*4 $ $,29 =C$%e$ (IPT*?-*#PT_b K*& -.&AU4C$%9 =  :K*f$%*!/PZ$*&$%?:KbC)!+L!Q$ (G*)",5,:9!9+L"%C:9I R4 $,29I:94?,-. :e(E$%+`* -.&Af4 $,ATb91*8%<-.$,)$,+L$* :;"%:9 ->$% u2w x M hT*$,4 !. 2$,3$ ()-.$%98,$%$,#PT**K a:;2 -.2$,  Z:9!8%8%!e$ (T*'? i ! -!6 1@bC'+74!+!9 :i6c<-.8%cP <1i"*c 44&$<X+L $%4C!. $, 

(270)  l Cn  :

(271) +L l  "%nf "% 98,l !# nq#(E$%*&+ aPT *-.!$,' *&b L$ <8,:9%"%MU!hTK** e<8, a$:9b 7 ->.X$%5 ,-.<:9:!8%78%*!!  . (EL $,l c

(272) $%nUb .  :  : 9l  

(273) -.nU$(I8%*21  "c*  $%4C!5$, 

(274)  l Cn

(275)  l ,na : 

(276)  l ,n

(277)  l CnU!4 <-.8%219MhT*U!46PTG [, 0, $,4 !. 2$,)4C!U$%&4U!!+7!9T %:i$ ()w ,mi(E$%U':9 -.U+'4!+!9. $,GMhT*.(E$,"9  . $K$ ( $  T $K"A2& :b912&"*U -.8%+74!+'!9. $ K4$,4 $, :7'*I4C 4C! MQhT* +c<1abCU8%!1L+74 $,59LK+WV/!$%2$, ->$%9.X<M. 1*. 1. = =< :. . 7 7". 'W 8>= ) Bh8 %H($.65O 8 &«,5+($&.  7" 7. 7<. 7< 7. . hTK**Tj.X   -.+7$%4G!=,J!8,!Z5 7j.X "% +74!6!GwR $ I&&=  PT:K*!$)Z(E2&$%Q-..$% +7I4  *I2",$%$9U$;4:e%4-! -.$,&5!%Z->PZ1aI$",(;28,*) *&4&T4$* <X4 +LZ$ (_$%*G M 4$%$%/194 R I :a->$%+'4C R*!+ PT**!4C -.8, .:_= .:  :  *a$,5:9 44$<X;+c "  !<Mp))K-.$, [, -.%=_PZ-! #"%&)*C T'+7$%T-!!U*5:,V/$%.:9!Z T2)e;yL-.!91.

(278) #. 

(279)

(280)   

(281)  w. !?b $,5 a+7$:9!G$c!4!AK*&' ? o ! C:#f  C:# -.$%C:3:9!8%8%!<MhT* 44$<X+L"QC2!j* <8%QbC!! 44&2 :f$T.X5,-.Q :9",!Q2U  ,2+c ",!r :U*j$%b.  : PZ!.X %->1B*&@. +'c*   *$,$%b.  : " *$%2",  Z !<M d3#* <8,#$,'bC!! bL$6:9! -.L91:9W^_!!C-.!c*@:9 -.$%B$,2$-!2g< $,3b !/PZ!! *&L<:9"%!7$%b.  : "'*a$,"% G$,)*& 44$<X+L"K$%4C!5$, M $%.:9!U$72. K*&2f :9", :9 -.$% 4$-.!<= 7j"%! Uw U  : w%wO*$ PBU  C+L ",I C:K*f :9"%I.X5%-> :72&"]*)&$%+L X2+' 44!2$,#5-*+')PT*'*&q44$<X;+c "O ):9 ->$% G:9!28%8%I$(J*&qe ? Y ! l/m w nR<-.8%!1c+'4!+7!9 :_M. . ?%. q

(282) 13% 9 5Y,4&«)21K% pB-.? $ (& !* -! Kb T>X&,-.1+74!+'!9 :f2T -.8%fP <1U* Qb !'4!!9 :_MhT*&!1 * <8,bC!!6:9!"% :o2i$%5:;!U$'PZ! 44&$<X+L )@Y+' L.[,  a!* ? o !  :GC : -.$, ::9!28%8% MjhT*!Q2+74 $,. 9C(E T2Q*  j*)-.$9.yL->2A98%$%8, :U *!T ->28,a+74!+'!9. W$%:9!4C! :9U$,'*&5-!qmi$ (*U4$,$%/194C ? 7 ! MQhT* +'4C$%5Af4 $,A!+' !f* [,!+7!9$@c:9"%3$,4 !. 2$,(E$%e %-*35- 'mQM e*   bC!!#*$ PT#*  )K*5:7$%.:9!) -.8%e " %:;T$"%$9$:c 44&$<X+L $%<M_hT*!U ! +c<1a.yL->2A1'bCq44 :7$K*e4$,b!+ $ ( :;"%:9! -.$,#LK+WV/!$%2$, ->$%9.X<M. . 8 @ 8>=$8 % 9[8 & u2w x †3MQhT*9$%HpaM T$,!;(E!?:_M „ :9",o :6->8,o:;! ->$% (E$,a89 I.-.!  2192<M y  ˆ8‰  Az ˆ8‰^zaˆ za}(w  $+y ‰!=RV ;l %n = †#<1w w%M u x  M †# ] : „ M NO:;!*GMUhT*!$,1#$(I :9", :9 -.$%GM 

(283) y z + + †a ˆEƒK‰ zb@ „ + z  |z  +  zb z ˆM† z ˆ?=C4  ",!w   Kw &=w &M u x pKM d 2S92jM@z-!.Vk4 %->'C2!"CM  

(284) y z ˆ8 $+y‚ˆ U Azaˆ a|8za ˆE  z ˆ+‚y +‚ˆ  +xzaˆy  ( ‚  | ‚ˆ8 +‚| | ƒ,+‚ˆ  +=4 "%!Uw w Uw  w,= U 2*&%=Gw M u "x ! M 7ZM T &A19$M #  ˆM†a ˆEƒ% †jƒ,+ ‰  ˆM†&  ˆ + ‰^ ˆ'} Uƒ + ‰>MUhQ -*&-  T!4C$%@ &=_† h=Cp)Wr-.?  92"% -.FGb $,5 $%1A= T+b?:9",%=A†i .%-*9!<= ! 7w M u x .QM ! M ( &7C I "%$,*&+'C(E$,!+L ")$-! &2+c ",4$,4 !<(M  za}(w  $+y&)e‰Az ˆ'*"y  w„,+   ‰} Uƒ +

(285) y z  + ‰ ‰ ˆ8ƒ =9‡$% w <V =%†#5-*6w M u x pKM O$%!9(E!?:_. M -/8|  y + ‰Kz |0  zaˆ ‚} jƒ,+1

(286) y z + ‰ ‰  ˆ8ƒ  ˆM†ˆ  |0U‰‰!M ( !G=T4",!/V/8%? "  :;2$%G=_w M u  x eM † M Nf . ?-S_M  "%5T4  :;"%i(E$,+ g!$ V-.$%"H$ (a -.$%C: :9 -.$,  :9!8% 8,! M 243Ty  ˆ8‰  Az ˆ8‰ z ˆ5

(287) U +‚yˆ'ˆ  |0U‰‰  ˆM†&-   „  ˆ +6‚ˆ8 +‚| | ƒ,+‚ˆ  += 9l.w n = !  9  1 w M u "x ! M FRM Z$ PT!1a :pKM UM .QS%)pH!4&!!95 $%7(E$%Q*  4CTb   :K$%4C SAZ  :e?:9",!* :9W^_! -.'$(2$ PZV/4 )5/(E$,+M 743Myaˆ8‰  AzaˆE‰ zaˆ1

(288) U $+yˆ8ˆ  |0U‰‰  ˆM†&-   „  ˆ"+ ‚ˆ8 +‚| | ƒ,+‚ˆ  += 9l n 2w V>Uw  =&w M. .     . . . 7 4  4 . 4   . #4 . . #4. #4. . 4. . +    . #4 .   #4. 4 .

(289) 8  ; . wU. .  . u x"! M z\M Z*&!G=pKM NT!5] C:'M †c :;2$,T‡!197C -Z$%98%$,2&$%PT*#Fj 4?%->9V/$ (?V &? †#S9 2 3Ty  ˆ8‰   zaˆ8‰ z ˆ8

(290) U $+yˆ ˆ  |0U‰‰  ˆM† -   „  ˆ +‚ˆ8 $+| | ƒ +ˆ  += ;l n V  ! 1@w &M uwK x ‡KM hQ$,' :hM paM .j$%","%$ M)3<:9"%c:9!<-.$%j' M  3Ty aˆE‰   Az ˆ8‰ z ˆ

(291) j A $+‚yˆ'ˆ a| U‰‰  ˆM† -   „8 ˆ +‚ˆ8 +‚| | ƒ,+‚ˆ  += 9l n w  w =%†#5-*3w M uw%w x eM  !?-*&%Mf4+L C :9",:9!<-.$%c"a -.8%q !2&" M 

(292) y z  # y ‰ ˆ8 $+‚yˆ U Az ˆ a|  z ˆ+‚y +‚ˆ  +^z ˆ  z }*w  $+‚y )3‰Azaˆ&=F_$%C:9$%G= !  V>w w M uw x eM  !?-*&%M z9!4 5 b&2  ->28,  !2&"B(E$,#.yL-.!9+WV/5-!2 :9",B:9!<-.$%jM 

(293) y z ˆE +‚yˆ j Az ˆ a| zayK ‰ „Ez w zaˆ -   „  ˆ + )e‰Az ˆ aˆM† -   „  ˆ"+ˆE +‚| |  ƒ,+‚ˆ  +!=4  ",!Tw  = hQ$%S91,$ = 7!b& 1 V 'w M uw x eM  !?-*&%M %O" T 9 1  '-.? $:;!8%3<-.8%!1B+'4&2+'!9<:3$%4&+LT :9"% :9 -.$%<M33„+‚ˆ8 $+yˆ U Azaˆ  | 8z8yˆ a| zb  za}(w  $+y8)3‰Azaˆ=_wl n w <V!w &=%†#<1w M uw x eM  !?-*&%9 M 7QKp)"%$,*+7 7j$%KF_$ PZVF_!8,!‡)2$,G% M 2 3Ty aˆE‰27

(294)  }^?=Q‡R$%Tw = O$6w%= !  3w M uw "x ! M z;*!G= z_M T 5 pfH$%42+c  a$,4 5 $%Y(E$%K :9",@:9! -.$,

(295) y z  + + †  ˆ8ƒU‰ 6)

(296)   -x  }^?=jKw  <V!w%w = ! &'w &M uw x UM FG -.g!$,p)44&2 :7pf  19&  -z ˆM† z ˆ'M y  ‰  $

(297)  } aˆ aˆM†zaˆ8‰$e † M.   4    !. . 3   .  #4. . . . .  . T Zœ) K, =«8 &. 4 .  #4 .  .   .  4. 4. ;>.

(298) #. 8  ;  w.  . 1. 0.8. 0.6. 0.4. 0.2. 10. 20. 30. 40. 50. 7j"% w Je ? /7j2!) C:  : ) .:9!fp)44$<X2+c 2$,. 1. 0.8. 0.6. 0.4. 0.2. 10. 20. 30. 40. 50. 7j"%  97j!) :72 .: f .:9!)pf44$<X;+c $,.

(299) #. 8  ;  w.  . 1. 0.8. 0.6. 0.4. 0.2. 10. 20. 30. 40. 50. 7j"%  97j!) :72   * f 5:9]pf44$<X;+c $,. 0.6. 0.5. 0.4. 0.3. 0.2. 0.1. 10. 20. 30. 40. 50. -0.1. 7G",   j7   !8% 8%)$( ? 97j!) :  : f 5:9)p)4&4$<X+L$%.

(300) 8  ;   . . 0.6. 0.5. 0.4. 0.3. 0.2. 0.1. 10. 20. 30. 40. 50. 7j2",!7G  !8%8%f$ ( e ? 87G)  :7 5: f 5:9!fp)44&$<X+L $%. 0.6. 0.5. 0.4. 0.3. 0.2. 0.1. 10. 20. 30. 40. 50. 7j2",!7G  !8%8%f$ ( e ? 87G)  :7   * f 5:9!fp)44&$<X+L $%.

(301) 8  ;  w.  . 1.25. 1. 0.75. 0.5. 0.25. 10. 20. 30. 40. 50. -0.25. 7G",@3z; -.$%C:  !8% 8,)$ (IK &? 7j!T C:'  : f 5:9)p)4&4$<X+L$%. 1. 0.8. 0.6. 0.4. 0.2. 10. 20. 30. 40. 50. -0.2. -0.4. 7j2",!z9 -.$, :  !8%8%f$ ( e ? 87G)  :7 .: f .:9!)pf44$<X;+c $,.

(302) 8  ; . ,.  . 1. 0.8. 0.6. 0.4. 0.2. 10. 20. 30. 40. 50. -0.2. -0.4. 7j2",!z9 -.$, :  !8%8%f$ ( e ? 87G)  :7   * f .:9!)pf44$<X;+c $,.

(303) 8  ;   . 7j2",wU3 ) "%    +c ",.

Références

Documents relatifs

To test whether the vesicular pool of Atat1 promotes the acetyl- ation of -tubulin in MTs, we isolated subcellular fractions from newborn mouse cortices and then assessed

Néanmoins, la dualité des acides (Lewis et Bronsted) est un système dispendieux, dont le recyclage est une opération complexe et par conséquent difficilement applicable à

Cette mutation familiale du gène MME est une substitution d’une base guanine par une base adenine sur le chromosome 3q25.2, ce qui induit un remplacement d’un acide aminé cystéine

En ouvrant cette page avec Netscape composer, vous verrez que le cadre prévu pour accueillir le panoramique a une taille déterminée, choisie par les concepteurs des hyperpaysages

Chaque séance durera deux heures, mais dans la seconde, seule la première heure sera consacrée à l'expérimentation décrite ici ; durant la seconde, les élèves travailleront sur

A time-varying respiratory elastance model is developed with a negative elastic component (E demand ), to describe the driving pressure generated during a patient initiated

The aim of this study was to assess, in three experimental fields representative of the various topoclimatological zones of Luxembourg, the impact of timing of fungicide

Attention to a relation ontology [...] refocuses security discourses to better reflect and appreciate three forms of interconnection that are not sufficiently attended to