Shape recognition and twenty questions
Texte intégral
(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET AUTOMATIQUE. Shape Recognition and Twenty Questions Donald Geman, Bruno Jedynak. N˚ 2155 Novembre 1993. PROGRAMME 4 Robotique, image et vision. ISSN 0249-6399. apport de recherche. 1993.
(3)
(4)
(5) "!
(6) #$% &'# ( )+*,-/.1032546,7*8:9&;=<>*>)@?725.BA>*>,C DEGFIHJELK=MMNPORQ SFUTVFIWGXZY\[5N^]_XZM`KaHJN
(7) NW:b\XZcGXZF=d D>EGFIeGNfWhgJi5dJWGXZM SPK^j5jVF=EkWPl5NmEGNonqp5NoEGnfp5Nrdsutwvyx=xzQ {|FobwN%M}T5EGNvo~=~=Q \vj_KaHJN%c $y a_^J NzF=ELMR[\KIWNcp_K^jVNRELN%n%F^HJd\XWGXF=dK^cKn%Ful\Xd\Hj5EGF=T\N%Mp5N%ELNXZcK dXWNXZcGWmFIjVF=cLcGXZTZNGpuijVFIWp_N%cN%cRcp_K^jVNznfK^ccN%chK^d_lVaF=E|cj_KaWGX Ka¡jVF=cGXWLXZF=d\XZd\Huc K^d_l¢N
(8) ¢XZcpWFl5NWN%ELM}XZd5N
(9) ¢Pp\XZnfp3F=d5NXZchWEL[5NRT_K^cNolF=dW£p5NEGNocL[\¤WcmFab=K=E¥XZF=[5c ¥W£N%cGWc%]¦¢Pp\XnqpK^EGNFJnyKa¡XZM`KaHuN
(10) NoKIW[5EGNoc% N[5cNzK&l5NonfXZcGXZFUdWEGNoN^§NoK=nqpXdJWNoE¥XZF=E d5Ful5N&XZcK=cLcGXHJd_N%l¨F=d5NFaW£p5N`WNocGWcRK^d5l¨NoK=nqp©WNoEGM}XZdªKad5Ful5N`Xc}K^ccGXHJd5Nol«F=d5N&Fa Wp_N¬pJijVFIW£p5N%cNocp_NK^ccGXHJd5MNodJWFa®WNockW£c%]F=E'GcGWEKaWNfHUiU]¦¯Xc`ELN%n%[_EGcGXbwN^§¬KaZF=dH NyK^nqp'T5ELK^d_nqp'nqp_FuF=cLNRW£p5Nd5Nf°\WmWNockWmWF¬ELN%MFybuN}K=c
(11) MR[5nfp[5d5noN%EkW£KaXZduW±i'K^czjVF=cLcGXZTZN ² K=cPM`NoK^c[5ELN%lTJiNodJW£EGF=jJiV³:K^TVF=[\WPWp5N®W£EG[5NzpJi5jVFIWp5NockXc:´¥d¬n%F=duWELK^cGWW£F}Wp5NzcGW£K^dw l_K^ELl«K^j5j5EGFJK^nqp¨FaGpJijµFIWp5NockX¤¶yNK^d5l©W£N%cGW%]¦Wp5NoEGN`XZcd5F3EGNojVNoKaW£N%l¨NXZnfXWqKaWGXZFUd6Fa pJi5jVFIWp_N%cN%c%·5XZd_ckW£NoK^l]µWp_N¥XZd_l5Nq°XZd\HJ`XZc®l\id_K^MXZnK^d5lckW£Funqp_K=ckWLXZn^ N
(12) HJELK=l5[_Kai ¸F=EGMR[KaWNcjVNonfX n}noF=dIekNonfW£[5EGNocK^c®Wp_NNfbwFIbwXd\Hl\XZcGWEkXZT5[\WLXZF=d«F=d¯pJi5jVFIWp_N%cN%cmTVNq noF=MN%c>XZd5noEGNyK^cGXZd\H=ijVNoK^¹JN%l NhK^j_j\iW£p\XZc}¥W±¢NodJW¥iYw[_N%cGWGXZF=d_cLK^j5j_EGFUK^nfpW£FWp5N EGNon%FIHud\XWGXZFUdFa$W±¢FW¥ijVNoc:Fa$Xd5NoK^E]Vl_NqFUEGM`K^T\NhcGWEG[_nfW[_EGN%c%§ºpªK^d5l\¢PE¥X¤WGWNodd\[5MN%E¥ KaZc|K^d5l¬EGFJK^l5cXZd¬c£KaW£NfX¤WNXZM`KaHJNoc% »¼U½¿¾LÀRÁ IÂ$^ cp_K^jVN¡ELN%n%F^HJd\XWGXF=d¿]Ul5N%nXZcGXZF=d®WELN%N=]IN%dJW£EGF=juihcGW£ELKaWNH=iU]InyK^ELK^nWNoE¿ELN%noFIH^ d\X¤WGXZF=d¿]¿c£KaW£Nf¤XWN
(13) XZM`KaHJNoc]VEGFUK^lw/W£ELK^nf¹JXZd\H ÃÅÄÇ±Æ È/ÉyÊ ÇÆ Ë+ÌZÈ/͸Î%Ï Ð¿ÑIÒ¦ÓÔÕqÖØ×}Ô7Ù£ÓÚ^Ù£Ö¸Û¸ÒÜ٣ݦݦÞÓØßaÚIÚ=ÕqÖ¸Û¸àkáâÞÛØÑaàzã$ÙÛ¸Ò¦Õfä^٣ݺå%ækÒ¦àkäaækàzçaÕfßaäaá=ÙLÛ¸ÒèÕqäßaäaáIàkÖéfÖ/Ù£äÛ êºëmå%ì ífíoîLïfðqñfñoò5â%ÞÛ¸Ñaà®óõôækàÕqö$ã$Ùk÷fÙÝ7ø7àkÓ¸àLÙ£Ö¸æ±ÑRßaäaáIàkÖækÕfäÛØÖ/Ù£æ¥Ûã$ùfùfùoîkú£ìÅñyî±ìüûì¸îLùý%îfòVÙ£äaáâÞ þ ãBÿµåßIäaáaàkÖõëmÙ£Ö¸æ±Ñ àíqïfï þ ã$ÿµå qñqï £ùfñ qý £ùfù. Unite´ de recherche INRIA Rocquencourt Domaine de Voluceau, Rocquencourt, BP 105, 78153 LE CHESNAY Cedex (France) Te´le´phone : (33 1) 39 63 55 11 – Te´le´copie : (33 1) 39 63 53 30.
(14) &'3o#¡#B J
(15) # ®B! #. !
(16) #$% &'#
(17) ¼ ¼ {|F=[5c7FUEGMR[\F=d5c7ZNj5ELF=T\N% M`Nl_NºKhEGN%noF=d5d_KaXcLc£K^d5noN>l5N¡¸F=EGMNoc+noF=MMN [5d¯j5ELF=T\No MNl5N`n%Ful_KaHJN=¦[5d5N}XZcGW£N d\XZN&l5¦pJi5jVFIWpNo cLNoca:¸F=EGMNocNWfaF=[¯jVFUckX WGXF=d5d5NoMN%duWd5FU[5ccF=[5p_KIXWF=d5clN WN%ELM}XZd5NoE`noNfNYw[X®N%cGWENy KaXZcN% N ² ¦pJijVFIW£pN% cN bEKaXZNI³Kz ¦KaXZl_Nl5N%cENo cL[W£KaW£cl5N®W£N%cGWc ² F=[¬Y\[5N%cGWGXF=d5cf³jVF=E¥WqK^dJWPc[5El5N%cnyK^ELK^nWNo E¥XZck WGXYw[5Noc:ZFunoKaN%c|l5NP XZM&KaHJN^ª{|F=[_c[\WGX¤XZcF=d5c|[5dK=EGT5EGNml5NmlNo nfXZcGXZF=d! nqp_K^Y\[5Nhd#"®[5l XZduW$N% EkXZN%[_ENockW|K^ccGXHJd%N [5dWN%cGWNfW&K nqp_K^Y\[5Nmd!"m[5lWNoEGM}XZd_KI7NocGW|K^cckX¤HJdN
(18) [5d5N
(19) puijVFa Wp'N% cN^)($KGcGWELKIWNf H=XN%3[\WGX¤XZcN% N&jVF=[5EK^cckXHud5N%E®N%cWNockW£c
(20) N%cGWENo n%[5ELckX¤buNº§NZF=dH3l5N nfp_K^Yw[_NT5ELK^d_nqp5N=]Bnqp_FIXZcGXZEZN&W£N%cGWc[\X¤b=K^dJWRl5N&M`K^d\XNo EGN*K EN% l_[\XZEGN`Nj\Z[5c}jVF=cLcGXZTZN XZd5noN%EkWGXW[_l5N ² MNoc[5ENo Nhj_K^E:¦N%duWEGFUj\XZNa³c[5E¦pJijVFIW£pN% cN®b5ELKaXZN=,+>d¬n%F=duWELK=ckW£NmKobuNon èK^j5j5ELFunqp_NcGW£K^d5l_K=E¥WGpuijVFIWp'N% cN¬NfWbNo E¥X noKaWGXF=d5\]Xhd i K'j_K^c`l_ NoccKaXcL'c[5nq noN%ccGXÜcl¦pJi5jVFIWp'No cN%c%|[n%F=duWELKaXEGN^]_KM-N Wp5Ful5N®jVF=[5EXd5l5Nq°_N%EN%cGWl\id_K=M}XZYw[_NhNfW cGWFunfp_K^cGWGXZY\[5N^.hELK=l5[5Nf¤ZN%MNodJWo]d5F=[_cP¸F=EGM}[\ZF=d5cml5NocGnoF=dIeGN%nfW£[5EGNocl5NzW£NfZN`cLF=EkWN Yw[_NKzl\XckW£E¥XZT_[\WGXZF=d/K
(21) jVFUckWN% E¥XF=E¥X7cL[5E¡¦N%d5cN%M}T\ZNl5NocpJijVF^WpNo cLNoc>l5NbwXZNod5d5NPl5Nj\[5c Nodj\Z[_cj\XYw[No N^+{|F=[5cK^j_j\XZY\[5F=d5cn%NWGW£N}K^j5j5ELFunqp_N0K` KEGNon%F=d5d_KIXZccK^d_n%Nl5Nl5N%[\° W¥ijVN%c®l5NcGWEG[5nW[5ELN%c|XZdNy KaXZEGNocNfWml%Nf F=ELM`K^T\N%c7§µZNoc
(22) nqpX21EGNoc®M&K^dw[5cn%EkXWc®NfWmZN%cENq cNoK^[\°ELF=[\WGXZNoEGcPl_K^d5c:ZNocXM`KaHJN%cl_N®c£KaW£NfX¤WN%c®l FUT5cN%E¥bUKaWGXZF=d¬l5NhK}WN%ELEGN^ 3 Á a ¾ 54 ¼ EGNon%F=d5dªKaXZcc£K^d5n%N}l5N¸F=EGMNoc%]7K^ELT5EGNRl_N}l%N% nXZckXF=d¿]+cGWELKIWNf H=XNT_K^cN% Nc[5E ¦N%duWEGFUj\XZN^]µEGNon%F=d_d_KaXZcc£K^d5n%Nml5NmnoK=ELK^nfWN% ELN%c%]XZM`KaHJNocc£KaWNf¤XW£KaXEGN%c%]7cL[XbwX+l5NmEGF=[WN%c.
(23) '! % & NNf°5j\ZFUEGNmW£p5NzjVF=cLcGXZTXXW¥iFaEGNon%FIHJdX¶%XZdHcLpªK^jVN%c`GcGXZMj\i5`TVNK^c¹JXZdHWp5NzE¥XHJpuW Yw[_N%cGWGXZFUd5cXd Wp_NEkXHJpJWF=ELl5N%Ep_NK^j5j5EGFJK^nqpXZc`F=EGM}[\KaW£N%lXZd@K^T_ckW£ELK^nW`W£N%EGM`c [5cGXZd\HcGW£KIWGXZcGWGXZnocRK^d5lXZdw¸F=EGM&KaWGXZF=d©W£p5N%F=EkiU NK^EGN}HUXbuNod©K d\X¤WN}XZcGWRFaPjVF=cLcGXZTZN GpuijVFIWp_N%cN%c ² FUEGcGWqKaWN%cBFa_dªKaW[5ELN%u³£·aNf°_K^nWGiF=d5NFa5Wp_N%cNºXZcõWEG[5NK^d_lm¢N¡¢XZcpmW£F l5NonfXZl_N¢PpXZnqpXWXZcTªK^cN%l&F=dW£p5NELN%c[\W£cFa7b=K^EkXZF=[5c}¥WNockW£cLzF=EzGYw[_N%cGWGXZF=d_c¦zp5N%ELN XZc
(24) K&l5NonfXZcGXZF=d3WEGNoNz¢Pp\XZnfpXZd5cGWEL[5nfW£ch[5chp_Fo¢ W£FjVN%E¥F=ELM W£p5NzW£N%cGWchK^d5lNbuNodJW£[_Kai nK^cckXÅi¬Wp5NzEGNoc[\Wc%+K^nqp¬XZdJWNoE¥XZFUEhd5Ful5NzFa>Wp5N
(25) WELN%N
(26) XZc®K^ccGXHJd5NolF=d_NFa>W£p5NmW£N%cGWc K^d5lNoK^nfpW£N%EGMXZd_KaBd5Ful5N
(27) XZc®K^ccGXHJd5NolFUd5NFa¡Wp5NzpJi5jVFIWp5NocN%c%ªp5NK=cLcGXHJd_MN%duWPFa WNocGWc%]$Wp_N«GcGWEKaWNH=iU]¦XZcK^l_K^j\WLXbuNXdWp5NcN%d5cNWp_KaWWp_Nnqp5F^XZn%NFahWp5N`W£N%cGWKaW NyK^nqpd_Ful5NM&K%i}l5N%jVNod5lF=dWp_NWNocGW>b=Ka[5N%cF=T_cLNoE¥bwN%lKaWKIj5ELN%noN%l\XZdHd5Ful_N%c%up_N cGWEKaWNH=i«XZc&EGNfHwK^EGl5Nol@K^c&K'noFul5N¸F=EN `nXZN%duW`nfK^ccGX nyKaWGXZF=d´±l_NoKaiJ]Wp5Nnqp5F^XZn%N ¢F=[Zl©TVN&l5E¥X¤buNod©TJi'cF=M`NH=F=T_KaMNoK^c[5ELNFa|N &nfXN%d5niU]õc[5nfp©K^cK^nqpXZNfb\XZd\H3Wp5N MF=cGWK^non%[_ELKaWN`nfK^ccGX NoE
(28) F=EKH=XbwN%d¨K%buNoELKaHJN`dw[5M}TVN%EmFaWN%cGWc%]$F=EELNoK^nfp\XZd\HWp5N ØK^ckW£N%cGWºl5NonfXZcGXZF=dKaW>KH=X¤buNodZNfbwNf5Fa¿K^non%[5EK^nfiJ [W$Wp5NocLN:j5EGF=T\N%McBK=EGNXZduWELK^nW£K^TZN^] K^d5l¢Ncp_Ka_F=j\WºXZd5cGWNyK^l¸F=EõW£p5N¥HJELN%N%lihcGWEKaWNH=i
(29) XZdz¢PpXZnqpWp5NWN%cGW£cºK^ELNnqp_F=cLNod EGNon%[_EGcGXbuNi&XZd¬F=EGl5NoEW£FEGN%M`FobuNhK^cM}[5nfp`[5d_n%NoE¥W£KaXZduW±iK^cjVF=ccGXZT\ZNzK^TVF=[\WWp_N|W£EG[5N pJi5jVFIWp_N%cGXZc% Np_K%bwNK^j5j\XN%lWpXZcWF}W¥¢Fj5EGF=TZN%M`cXdcp_K^jVNzEGN%noFIHJd\XWLXZF=d¿7p5N
(30) ELKo¢ lªKaW£K XZcK'cGXZd\HUZN^]HuEGNfiwØNfbwNfXZM`KIHJN^]Wp5NW£N%cGWcK^EGNj_K^E¥WLXZn%[K^E«±¸NoKaW£[5EGNoc ² X¦N^Z]XZM`KaHJN ¸[5d5nfWLXZF=d_Kacq³£]K^d5l¨W£p5NpuijVFIW£p5N%cNocREGNfNoEW£F¯j_K^E¥WLXZn%[K^E`cp_K=jVNnf K^ccLNocF=Ecj_KaWGXKI jVF=cGXWLXZF=d\XZd\Huc$gwjVNonfX nyKaiJ]_¢N®cp_Ka¤7¸Fun%[5cPF=dXZd5NyK^Ef]µl5NfF=EGM&K^T\ZN
(31) cGWEL[5nfW£[5EGNoc_p_N M`KaXd&K^j_j\XZnyKaWGXZF=dXZcWp5NWEK^nq¹uXZd\H}FaõM`KIekF=E>pXHJpJ¢Koic>XZd¬gwD P c£KaWNXWNhXZM&KaHJN%EkiU p5NoEGNXcF=d\i@F=d5Ncp_K^jµNnfK=cLc ² GEGFUK^l_u³`K^d5lWp_NpJi5jVFIWp5NocN%c`K^ELN¬Xd5l5Nq°_N%l6Tui Wp_N©GjVFUcLN= p5NcGWEKaWNH=iXZcnoF=d5cGWEL[5nfW£N%. l
(32) T_K^cNol¯F=dNodJW£EGF=jJi¯EGN%l_[5nfWLXZF=d¿ ´¥dF=ELl5N%EW£FX¤Z[5cGWEKaWN}W£p5NcnoF=jVNFa>Wp5NMNWp5Ful]_¢Nzcp_Ka¡KacLFM`N%dJWLXZF=dK^d5FIW£p5N%E K^j5jXZnoKIWGXZF=d©Wp_NEGNon%FIHJd\X¤WGXZF=dFap_K^d5l¢PE¥XWLWN%d¯d\[5MNoELKaZc%·+K`¸[\:K^n%noF=[5dJWm¢X:TVN H=XbwN%d NZcNf¢Pp5NoEGN=´±d6Wp_KIW¬noK=cLN=]Wp_N%EGNK^ELN3WNod pJi5jVFIWp5NocLNoc ² Wp5NjVF=cLNTVNfXZd\H6Fa cN%noF=d5l_K^EkiXZMjVF=EkW£K^d5noNa³>K^d5l}W£p5N|cGWELKaW£NfH=i}XZcnoF=d5cGWEG[_nfWNolTJiRW£p5Nc£K^MNj5EkXZd5nfXj\ZN%c%] T5[W fBg\F=MNn%F=d_nfZ[5cGXZF=d_czK^d_lcLjVNon%[KaWGXbwNEGN%M&K^EG¹wcmK^EGNRH=XbwN%dXdWp5N d_Ka cN%nWGXZF=d . øõø äyýoî.
(33) O
(34) "!
(35) #$% &# p5NoEGNXZcK
(36) noN%EkW£KaXZdj_K^E¥F=EHuK=MN¢Pp\XZnfp`cF=MNWGXZM`N%cºHJFuNoc:TuiRW£p5Nhd_K^M`NFa|L:¢N%duW±i [5N%cGWLXZF=d5cK^d_l@cN%NoMcRWF©TVN3¹\d5Fo¢Pd6NbuNoE¥iw¢Pp5NoEGN ² N= H5Z]K^c¨ :K^E¥ mF=¹wp_N%T_K^¯XZd |ELK^TXZnF=EmÅekNo[l5N%cºM-N WGXZNoEGcPXZd ªEGN%d_nqpV³£=´/WºXZc>j\KoiuNolzXZ¹JN:WpXZc§uF=d5Nj\KoiuNoEBnfp5FuF=cN%c K^dXZd5cGW£K=d5n%N
(37) ¸EGF=M KHJNod5N%EKaºnoKaW£NfHJF=EkicL[_nqpK=cØK^MF=[5c|jVNoEGcF=d5c%]¿d_KaW£[5ELKa¡F=T\ekNonfW£c] F=Ep\XZcGWF=EkXZnoKa¿NbuNodJWc%]UK^d5lK^d5FIWp_N%E¡j\KoiuNoEf]J¢Pp5Fm¹wd5Fo¢Pc$Wp_NnoKaWNHJF=EkiU]JWE¥XZNocºW£F®HJ[5N%cc Wp_Nj_K=E¥WGXZno[\K^Emnfp5FIXZnoNTJiK^c¹uXZd\H&¢Pp5NfW£p5N%EXW®TVNfZFUd\HJchWFb=K^E¥XZFU[5cmcL[5T_cLNWc ² ¥XZc|Wp5N jVNoEGcF=d¬l5NoK^lF=EPKIXbuN %\]µNfW£n^³_´¥dFUd5N|bwN%ELcGXZF=d¿]VK^d¬FIl |MN%EkXZnoK=d&WNZNfb\XZcGXZF=d3cp5Fo¢ nyKaZN%l p_KaW$¦c ¬i (7XZd5N %\]\Wp5N®noKaWNHJF=E¥i`¢K^cG[5d\[5c[_Ka¿Funon%[5j_KaWLXZF=d5c}K=d5l`Wp5NoEGN ¢K^cK®j_K^d5NfµFa+Yw[5NockWLXZF=d5NoEGcB¢Pp5F®¢N%EGNKaZFy¢N%lKaWMF=cGW¡W¥¢N%duW±izY\[5N%cGWGXF=d5cºW£F®HJ[5N%cc Wp_N®Funon%[5jªKaWGXZF=dFa>KHJ[5N%cGWo p5N
(38) M`KIWp5NoM`KaWGXZnyKaPG:¢N%dJW¥i [5NocGWGXZF=d_cPDEGF=T\N%M}XcPWFl_NfWNoEGM}Xd5N®Wp_N
(39) F=j\WGX M`Ka7cGWELKaW£NfH=iF=EM}Xd\XZM}X¶oXZd\HWp_NhMNoK=d`d\[5MRTVNoEFIBY\[5N%cGWGXF=d5c:Wp_KIWK^ELNmK^c¹JN%l¿ ² ´ØW XZcK^cc[5MNolmWp_NK^d5cG¢N%ELc>K^EGN:W£EG[\W£pw[\¸Ü³¡p5NcFIZ[\WGXF=dW£F|W£p\XZccGXZMj\X N%l}HwK^MN^]JK^d5l TVF=[5d_l5cmF=d3W£p5NRMNyK^d3l5N%nXZcGXZF=dWGXZM`N^]+K^EGNR¹\d5Fo¢Pd¸EGF=M EGN%c[\W£chXZdnoFul\XZd\H¬Wp_N%F=EkiU] ¢Pp\XnqpF=ELM`KaX¤¶yNW£p5Nj\K=dFaGlXbwXZl_NPK^d5ln%FUd5Yw[5NoEf¦ ² @j5ELN%nXZcNl5N d\XWGXZFUd`FacGWEKy WNH=iz¢XµTVNH=X¤buNodzXZ d
(40) \³¡gwjVNonfX nyKaiJ]UW£p5N
(41) Üv%O Ø] t=t /] t /]Uj5EGFybwXZl5Noc K^d3Nq°_j\XZnXWmnoF=d5cGWEG[_nfWGXF=d¸F=E|n%Ful\Xd\H`W£p5Nzcki5MRTVFIZc|FaK^dKaZj5p_K=TVNfWh¢X¤Wp ² b=K^EkXK^T\ZN ZNod\H=Wpµ³hT\XZd_K^Eki'cGWE¥Xd\HJc
(42) cFK^c®W£FMXZd\XZM}X¶aNRWp5NMNyK^d3dw[5MRTVNoE|FaT\XW£c®WpªKaWzMR[5cGW TVNPNq°_K=M}XZd5Nol}l_[5E¥XZd\HRl5Non%Ful\XZdH5\p5NM`NoK^dRZNod\H=Wp&Fa¿W£p5NFUj\WGXZM&Ka¿n%Ful5NXZc:KaWMF=cGW F=d5Nj\[5c®Wp5NNodJWELF=jJiFaW£p5N'Gj5E¥XF=E
(43) l\XZcGWEkXZT5[\WLXZF=d¿]¦¬X¸ N=¤]+Wp5N}F=d5NRXZd\XWLXKaij\K=n%N%l FobwN%E|Wp5NpJi5jVFIWp5NocN%c% ² SPN%nyKa¡Wp_KIW
(44) NodJWELF=jJiMNoK^c[5ELN%cPW£p5N[5d5noN%E¥WqKaXZdJW¥iXZd©Kl\XZck WEkXZT5[\WLXZF=d¿]õK^d_lXZcPWp_N%EGNfF=ELNM}XZd\XM}X¶yNol3TJi3KjVF^XZdJWmM&K^cLchK^d_lM&Ky°\XZM}X¤¶yNolTJiWp5N [5dXÜF=ELM MNoK=cL[_EGN^³+p\XZcºZNod\H=W£pXZcF=j\WLXZM`KaµTVN%nyK^[5cN:Wp_NMNoK^dZN%dH=Wp&Fa+K^dui}n%Ful5N XZcKaWZNoK=ckWN%Yw[ªKa:W£F3W£p5N¬ckWqK^E¥WLXZd\HN%duWEGFUjJiUp\[5c%]õF=E`Nq°ªK^Mj\ZN=]BXZd Wp5N:¢N%duW±i [5N%cGWLXZF=d5cHuK^MNh¢Nh¢F=[\Zl¬F=d\¤id5N%NolK^TVF=[WW¥¢N%duW±i`Yw[_N%cGWGXZF=d_c !"$#%'& XÜ Wp_N®nyKaWNHJF=E¥ipªK^ct (*)PXWNoMcK^d5l¬NyK^nqp`XcN%Y\[_Ka¤iXZ¹JNfiWFTVNmnqp_F=cN%d¿ ®noF=[5ELcLN`W£p\XZcR¸F=EGM}[\KaWGXF=dXZcM}[5nqp¯WFuF'EGN%cGW£E¥XZnfWLXbwN&¸F=Ej5ELK^nWGXZnyKa|l_N%nfXckXF=dw M`K^¹uXZd\Hj5EGFUT\ZN%M`c+ _F=EF=d_N&WpXZd\H5]ºWp5Nj5ELF=T\ZNoM XZcRWFuFNoK=cki¨K^c}cGW£KaWNol¨TVN%nyK^[5cN Wp_NpJi5jVFIWp5NocN%cK^ELNW£FJF¢NcNoj_K^ELKaW£N%lXÜ $"$#-,c[5T5cNfWYw[5NockWLXZF=dXZcRKaFo¢N%l·$XZd EGNyKaXW¥i¬XW®M`K%iTVN
(45) XZMj5ELK=nfWGXnoKaºF=EXZMjVF=ccGXZT\ZNW£Fp_K%bwN
(46) Nf°_K^nfWLiW£p5N
(47) E¥X¤HJpJW®Yw[_N%cGWGXZF=d K%bUKaXK^T\NzKaWNyK^nfpXZd_ckWqK^d5noN^]\d5FIW:WFMN%duWGXZF=d&M`KaXdJW£KaXd\XZd\H&Kzl_KaWqKzckW£EG[5nW[5ELN¢|p5F=cN cGX¶aN|XZc|Nf°5jVF=d5NodJWLXKaXZdW£p5N®d\[5MRTVNoEFa>puijVFIW£p5N%cN%c%. üäaÖØÒÜÙ ..
(48) x ±´ dW£p5N¬F=d5cGW£ELKaXZd5Nol3:¢N%duW±i [5NockWLXZF=d5c|DEGF=T\ZNoM ² /] /] v /] Üv ³W£p5NcNW FaõjVF=ccGXZT\ZN®Yw[5NockWLXZF=d5c%]JX N=\c[5T5cNfWnfp5FIXZnoN%c%]uXZc¤XZM}XWNol¿5p5Nj5EGFUT\ZN%M XZcW£p5N%d`l5NfW£N%E± M}Xd5N%l}TJiW¥¢FPW£p\XZd\HJc%§uK=dXd\XWGXKIl\XZcGW£E¥XZT5[\WLXZF=d&F=dpJijVFIW£p5N%cNocºK^d_lK®T\XZdªK^E¥i}M`KaW£E¥Xܰ XZd_l\XZnoKaWLXZd\H3Wp5N&K^d5cG¢N%ELc|W£FWp5NYw[_N%cGWGXZF=d_chF=E
(49) NyK^nfppJi5jVFIWp_N%cGXZc%]¢XWpv`cGW£K^d_l\XZd\H ¸F=EkiuNocLK=d5l ®F=EzGd_F\ p_KIW>XZc%]\NoK^nfpELFo¢ noF=EGELN%cjVF=d5l5c>W£FzK^dXZd5l\X¤bwXZl5[ªKa7puijVFa Wp_N%cGXZc®K^d_llXZcj\K%i5cPWp5NRK^d_ck¢N%EGcF=EmKaºWN%cGWc%]¿K^d5l3NoK=nqpnoFIZ[5M`dn%F=ELEGNocLjVF=d_l5cPW£F K^dXZd5l\Xb\XZl5[_KI$WN%cGWK=d5lj\Xnq¹\cF=[\WK}c[5T5cNWFaºpJijVF^Wp5NocLNoc%]{hKaW[5EKaiJ]_¢N®K^cc[5MN Wp_N|EGFo¢Pc:K=EGNhl\XckWLXZd5nW ² X¸ N=¤]\Wp5N|cNfW:FaõWN%cGWc:[5d\XZY\[5Nfil5NfW£N%EGMXZd5N%c>W£p5N|pJijVF^Wp5NockXZcf³ K^c
(50) ¢Nf¤K^c
(51) Wp5NnoFIZ[5M`d5c ² X¦N^Z]Bd5FWNockWXZcEGNojVNoKaWNolV³ ªF=EzEGNf KaWGXbwNfi LcLM&KaZj5ELFa T\N%Mc%]c£Koi¸F=E} v ¬puijVFIW£p5N%cN%cmK^d5l© t WNocGWc%]F=d_NnoK^dXZdØK^nfW d_l3Wp_NF=j\WLXZM`Ka cGWEKaWNH=iR¢XW£p`l\i5d_K^M}XZnj5EGFIHJEK^MM}XZdH5 [W>Wp_NHJNod5N%EKaVj_EGF=T\ZNoM XZc{|Dn%F=MjZNfW£N vo /BgJWGX¤]K^cm¢X¤Wp¯M`K^dui3p_K^EGl¯noF=MRTXZd_KaWFUE¥XKa:F=j\WLXZM}X¶IKaWGXZF=d¨j5ELF=T\ZNoMc%]+n%F=d5cGXZl5Nf ELK=T\ZNhN 1F=E¥W:p_K^cTµN%N%dK^j5jXZN%l ² cN%N Ø] Üv 7K^d5lWp5N|EGNfNoEGN%d_n%N%c¡Wp5NoEGNXZdV³ºW£F d_l\XZd\H HJFuFul6LcL[_TVF=j\WGXZM&KaZcGWEKaWNfHUXZN%c% ´ØWXZc¬j5EGNonfXcLNi@W£p5N%cNc[5TVF=jWGXZM`KacGWEKaWNH=XZN%c¢N3XZdJWNod5l W£F K^j_j\i@W£F«cp_K^jVN EGNon%FIHud\XWGXZFUd¿]µT5[\W¢XW£p\XZdK}ckWLXBMF=EGN|HJN%d5NoELKa¿¸ELK^MN¢F=EG¹Wp_KaW¢Nhcp_KaõcGWLXBEGNq¸N%E WFK^cL:¢N%duW±i [5N%cGWGXF=d5c% ´¥dj_K^EkWGXZno[\K^Ef]F=d5NmnoK^d5d_FIWK^cc[5MN|Wp_KaWWp5N
(52) K^d5cG¢NoEGc K^ELNl_NfWNoEGM}Xd5N%l©¢XW£p5F=[\W`N%ELEGF=E·¡H=XbuNod«Wp5NWEG[5NpJi5jVFIWp5NocGXZc]ºWp_N&WNocGWcK^EGN
(53) l5[5NWF©b=K^EkXK^T\XX¤W±i Xd Wp5NXZM&KaHJNF=ELM`KaWGXF=d j5EGFunoN%ccK^d5l@¢XW£p\XZd cp_K^jVN|nK^ccLNoc%u´¥d`FIW£p5N%E¢F=EGl_c]JWp5NW£N%cGWcM}[5cGWTVN|EGNfHwK^EGl5Nol&K^c
(54) q F=EGNoFobwN%Ef]+Wp5Ni'M`K%id5FIWRTVNnoF=d5l\XWLXZF=d_Ka¤i«XZd5l5NojVN%d5l_N%dJWH=XbuNodWp5N&pJi5jVFIWp5NocN%c%· WpXZcXZcWp_NhnoK^cN=]w¸F=ENq°ªK^Mj\N^]wXdW£p5N
(55) K^j5j\XnoKaWGXF=d¬W£Fdw[5MNoELKa7EGNon%FIHJd\X¤WGXZF=d¿·µcN%N £O K^d5l \ . '. . ' . . . . . $# . $ . #%. . "#. . . . o :¢NodJW¥i [5NocGWGXZF=d_c+XZcBd_FIW|GpuijVFIW£p5N%cGX¶aNK^d5lmW£N%cGW%]¦d_FIW$XZdmW£p5NcN%d5cN>FaªWp5NjVF=j5[\K^E K^j5j_EGFUK^nfpW£FF=TekNonfW:EGNon%FIHJd\X¤WGXZF=d¢Pp\XZnfpj5ELFun%N%Nol5cK^c>¸FIZFo¢Pc%,.PXbwN%dcF=M`NNoKIW[5EGNf T_K^cNolELN%j5ELN%cN%duW£KaWLXZF=d¬F=EPW£p5NF=T\eGN%nWc%]VW±¢F}¸[5d5l_K^M`N%dJWqKaBj5EGFun%NoccLNochK^EGNXW£N%EKaWN%l |d5Nj5EGFunoN%cc®XZc¥XZd5l_Nq°\XZdHJ\§õWp5NNyKaW[_EGN}b=KIZ[5N%czl5NoE¥XbwN%l3EGF=M"j5ELNfXZMXZd_K^E¥i©MNyKy c[5EGNoMNodJWc|K^EGN}[5cN%lWFNfXZnXWKnoK^d5l\Xl_KaWN}cLNWmFa:F=T\ekNonfW£c®K^d5lµaF=E®jVFUcLNoch¢Pp\XZnfp¬XZc noF=d5cGXZcGWN%duW¢XW£p¿]µF=E|cL[H=HJN%cGWNol¬TJiJ]5Wp5N
(56) XZd\XWLXKaMNyK^c[5EGNoMN%duWc%\p5NzFIWp5NoEj5ELFun%N%cc XZc`GM`KaW£nqp\Xd\HJ:K}n%F=ELEGNocLjVF=d_l5N%d5noNhXZccF=[\HJpuWPTVNfW¥¢N%NodF=T\eGN%nWK^d_llªKaW£KzNyKaW[5ELN%c% ´¥d'HJNod5N%EKaW£p5N%cN}W¥¢F¬j5ELFun%N%ccN%cK^EGN&nfF=cNfi¯XZduWN%EkW±¢Xd5N%l¿§õXZd_l5Nq°XZd\H3XZcRl5EkXbuNod©Tui . . øõø äyýoî.
(57) . WEkXKaPM`KaW£nqp_N%cK^d5l©WE¥X KaPn%F=d^ekN%nW[5ELN%c
(58) ¸Fun%[5cKaWGWNodJWLXZF=dFUd¨K^l_l\XWGXF=d_Ka¸NoKaW£[5EGNoczW£F noF=Mj5[\W£N^]5N^ H5¤]Wp_F=cN|X¹UNiW£F}TVNmbwXZcGXZT\ZNzF=EnoF=d EGM&KaWF=EkiU ´±d6noF=dJW£ELK^cGW&WF'W£p5NELN%jVNoKIWN%l NfXnfXWqKaWGXZF=d FInyK^d5l\XZlªKaWN3pJi5jVFIWp5NocLNoc%¤]¡W£p5NXZdw l5Nf°\XZdHXZd:¢NodJW¥i [5N%cGWGXZFUd5c%]¿cL[_nqpK^cXW®Nf°\XZcGWc%]ªXZc|l\idªK^M}XZnK^d5lcGWFunfp_K^cGWGXZn= N RF=EGM}[\KaW£NRcjVN%nX nn%F=d^ekNonfW[5ELN%c%7p5N%ELNXZczK^d'NfbwFIb\XZd\H¬lXZcGWE¥XZT_[\WGXZFUdF=d pJi5jVFIWp_N%cN%c¢Pp\XZnfpXZcm[5jVl_KaW£N%lKaWmNyK^nqp3d5Ful5NFaWp5Nl_N%nfXckXF=d3W£EGN%NXZd3XHJpJWFaWp5N K^l5lXWGXZF=dªKaXZdwFUEGM`KaWLXZF=dl_N%E¥X¤buN%l}EGFUM Wp5N|MFUckWELN%noN%dJWWN%cGWoup5NPl\XZcGWEkXZT5[\WLXZF=d¬TVNq noF=MN%c+Xd5n%ELNoK^cGXZd\H=¤ijVNoK=¹UNol}K^cBXZdw¸F=EGM`KIWGXZF=d}XcK^non%[5M}[\KaWNol¿]^[_dJWGXVF=d5NpJijVFIW£p5N%cNoc ² FUEF=d5Nmp5F=MFIHJNod5N%FU[5c:HJEGF=[_jV³n%F=M`N%cW£F}l_F=M}XZd_KaW£N^ & #% . ,. y# :¢NodJW¥i [5N%cGWGXZFUd5czXZc}d5FIWGMFul5NÜ¥T_K^cN%l5jVN%EcN^ p_KaWXZc}d5N%Nol5N%l¯XZczW£p5NekFIXZduW l\XckW£E¥XZT5[WGXZF=dFa_pJijVF^Wp5N%cNoc7K^d5lhWN%cGW£c
(59) |d5NB¢Koi|WFl5NWN%ELM}XZd5N$Wp\XcXcW£FcLjVNonfXÜüihW¥¢F l\XckW£E¥XZT5[WGXZF=d5c%§ªWp5NmM`K^EkH=XZd_Ka ² Gj5EkXZF=EGu³l\XZcGWEkXZT5[\WLXZF=d3FobuNoEpJi5jVFIWp_N%cN%c ² ¢Pp\Xnqp`XZc [5c[_Ka¤imek[5cGW[5d\XܸF=EGM³ºK^d5l}W£p5NnoF=d5l\XWLXZF=d_Ka ² ekFIXdJWf³¡l\XckW£E¥XZT5[WGXZF=dFa¿W£p5N:WNockW£cºH=XbwN%d NyK^nqp6puijVFIW£p5N%cGXZc% ² ´¸
(60) Wp_NWNockW£c&K^ELNnoF=d5l\XWLXZF=d_Ka¤i XZd5l5NojVN%d_l5N%duWWp5NodXWc[ &n%Noc WFj5EGFob\XZl5NWp5NM`K=E¥H=XZd_KIl\XckW£E¥XZT5[WGXZF=d6FamNyK^nqp¯WNockW}H=XbwN%d¨NoK^nfp¨pJijµFIWp5NockXc³
(61) ´±d N 1N%nfWo]_F=[5EMFul5Nf¿¸F=ENoK^nfppJi5jVFIWp5NocGXZc:XZcWp5N ² noF=d5l\XWLXZF=d_KaųPl\XZcGWEkXZT5[\WLXZF=d3FaBWNockW£c F=EGNoFobwN%Ef]¢NnyK^d W£p\XZd5¹6Fa
(62) Wp_NcGW£ELKaWNH=i K^cj5EGFybwXZl\XZdH6K
(63) ¸F=EW£p5N¬N%d5cNoMRT\ZNFa
(64) F=TekN%nWcTuicLNZN%nWGXZdH«K^d6F=ELl5N%ELN%lXckWFa
(65) WNockW£ccjVN%nX noKa¤i l5Nol\XZnyKaWN%lW£FRWp_KaWPNod5cN%MRTZN^ ´ØWPXZchd_N%n%NoccK^EkiWF&N%cGWGXM`KaWN®W£p5Nzn%F=d5l\X¤WGXZF=d_KIl\XZcGWE¥XT5[\WGXF=dFa>W£N%cGWcELF=M l_KaW£K\ ´¥dWp5N
(66) ELFUK^lw d5l\XZdHK^j_j\XZnyKaWGXZF=d]7cGXZd_n%N®W£p5N®WNockW£cPK^ELN
(67) n%F=d_l\XWGXZFUd_KaiXd5l5N%jVNod5l5NodJW%] Wp_NcGWELKIWNfH=iM`KoiTVN n%F=Mj_[\WNol«F=d5noNW£p5NM`K=E¥H=XZd_KIWNocGW&l\XZcGWEkXZT5[\WLXZF=d5c K^ELNN%cGWLXZM`KaWNol¿·õXZd«jªK^E¥WGXn%[\K^E]>W£p5Nn%F=d_l\XWGXZFUd_Ka
(68) ² GjVF=cGWNoE¥XZFUEGu³Rl\XckW£E¥XZT5[WGXZF=d6F=d pJi5jVFIWp_N%cN%cH=XbwN%dW£p5N®WNocGWELN%c[\W£cXZc|noKIZn%[\ KaWNol3K^dªKaiwWLXZnoKa¤iU+´¥dn%FUdJWEK^cGW%]5XZd¬Wp5N dw[_MN%EKaK^j5j\XZnyKaWGXF=d¿]>W£p5N`WNockW£cRK^EGNn%F=d5lXWGXZF=dªKai@l5N%jVNod5l5NodJW}K^d5l©¢N&MR[5cGW
(69) Wp5N}ckW£ELKaW£NfH=i[5cGXZd\HWp5NN%M`j\XZE¥XZnyKal\XZcGWEkXZT5[\WLXZF=d¸F=E®WNocGWc
(70) K^d5l'pJijVFIW£p5N%cNoc j5ELFobwXZl_N%lTui3KWELKaXd\XZd\H3cNW%¿p\Xc®ELN%Yw[XZEGNoc®K` K^E¥HJNl_KaWqK^T_K^cNRFa:p_K^d5l\¢PEkXWGW£N%d'l\XÜ H=XW£c%·VFIW£p5N%Ek¢XZcN®¢NhK^nf¹Nod5F=[\HJpXZd5cGWqK^d5n%NocFaBW£N%cGWPp\XZcGW£F=E¥XZNocW£Fj5ELF=jVN%Eki¬NockWLXZM`KaW£N Wp_N®ELN%cGXZl5[ªKaõN%duWEGFUjJiU . . !#. #. . ,. . üäaÖØÒÜÙ ..
(71) . %Rº . hNonfXZcGXZFUdWELN%N%cK^ELN
(72) [5T\XZY\[\XWF=[_c N
(73) cp_Ka¤õMNodJWGXZFUdcF=MN|EGNKaWNolW¥ijVNoc¢Pp\Xnqp¬K^jw jVNyK^EXd FUMRT\XZd_KIWF=E¥X Ka |j\WLXZM}X¶IKaWGXZF=d]guW£KaWGXckWLXZn%c%]¿K^d5l¿]WFK}cLFUMNf¢Pp_KIWN%ccLNoENq°w WNodJWo]XZd F=Mj5[\W£N%E |XZcGXZF=d |c>¢Np_K%bwNKaZEGNyK^l\i&cNoN%d¿]J¢N%duW±i [5NocGWGXZF=d_cNq°_N%Mj\¤X N%cKmnf K^cLc:Faõj5EGF=T\N%Mc XZdn%Ful\Xd\HWp5NoF=E¥iK^d_ln%FUMRT\XZd_KIWF=E¥X Ka+F=j\WGXZMX¶aKaWLXZF=d¿µ´±djªK^E¥WGXn%[\K=Ef]5¢N®cLpªKa¿Funo[5c TVNZFo¢ F=d&KnfK=cLc:FakHJEGNoN%l\i5cGWEKaWNfHUXZN%c ² F=Enfp5FuF=cGXZd\HK^d5l`F=EGl5NoE¥XZd\HW£N%cGWcf³õ¢PpXZnqp K^ELNcLF=M`NfWGXMN%cPnoKaN%l Gcj\XWGWLXZd\H3KaHJFUE¥XWp_Mc ² /] /] v ¸³:XZdK^j_j\XZnyKaWGXZF=d_cFa:T\XÜ d_K^EkicNyK^EGnfp&W£EGN%Noc:WF¸K^[Wk/WNockWLXZd\H5]µM`K^nfp\XZd_Nhl\XKaHJd_F=ckWLXZn%c%]¿K^d5l¬EGNKaW£N%l¬j5EGFUT\ZN%M`c ´±d gwNoYw[5NodJWLXKa ®N%cGXHJd Fa +B°_jVN%EkXZMN%duWc ² ¸³`K¨MF=ELN¬HuN%d5NoELKa®EK^MNf¢F=EG¹XZc noF=d5cGXZl5N%ELN%l¿]¢PpXZnqp6XZdJbwFIbwN%cK'ZF=cc`¸[5d5nfWLXZF=d ² X¦N^Z]KjVNod_KaW¥i«¸F=ENoK^nfp jVF=cLcGXZTZN M}XcLnK^ccGX noKaWLXZF=dV³£]¡Nf°5jVNoE¥XZMNodJW£KIGn%F=cGWc¸F=ENoK^nfpWNocGW%]$K^d_lK¬ELN%c[\WLXZd\H'FobwN%EKa GEkXZc¹ª¦ ² [\WLXÜkK^EGMNol K^d5l\XW ² Üv ³|K^d5l*|l_K^j\WLXbuN F=dJW£EGFI ² Üv ³Pj5EGF=TZN%McmK^EGN nZF=cNfi©EGNKaWNol¿Ü³ M`KaeGF=E
(74) l\X 1N%EGNod5n%N}EGFUM :¢N%duW±i [5NocGWGXZF=d5cXc
(75) W£p_KaW%]õXZd¯Wp5NocN cGW[5lXZN%c%]Wp5NW£N%cGWc¬K^EGN ¬K^d5l W£p5NNoMj5p_K^cGXZcXZc¬F=d EGN%c[\W£c ¸F=EK^E¥HJN¯d\[5MRTVNoEGcFaWNockW£c ² Ø] Üvax ³£´¥d F=[5EnoK^cN=]Wp5N¯K%bUKaXK^T\N¯XdwF=ELM`KaWGXZFUd XZcXZd5p5NoEGNodJWGi@XZM}XW£N%l¿]EGNoj5EGNocN%dJW£N%l6Tui@ K FaWNocGWc%·:d5F«K^l5l\XWLXZF=d_Ka XZd\F=EGM&KaWGXZF=d¯XZc
(76) j5ELFobwXZl_N%l'TJi3jVNoE±¸F=EGM}XZdHWp_N}c£K^MNW£N%cGW
(77) KaHwKaXZd¿§õWp5NK^d5cG¢N%E®MR[5cGW TVNhWp5NcK^M`NhTVN%nyK^[5cNPW£p5N|W£N%cGWcK=EGN
(78) cGXZMj\¤i¸[5d5nfWLXZF=d_KacPFI>K :XM`KaHJN= p5NT_K^cGXZn&cNfWk¥[5jXZd |Sº ² K^ccGX noKaWLXZF=dK^d_l¯SNHJEGN%ccGXZF=d$EGNoN%c\] t ³PXZc NocLcNodJWGXKIi
(79) Wp_Nc£K^MNK^c$FU[5EGc%I´±dzj_K^EkWGXZno[\K^Ef]UWp5NF=T5cN%Ekb=KaWLXZF=d5c¡K^EGNEK^d5l5F=M K^d5l
(80) Wp5N WNocGWcK^EGNmd5FIWPELN%jVNoKIW£K^T\ZN= FIW£pK^j5j5ELFUK^nqp_N%cXZdJbwFIbwN|W£p5N®noF=d5cGWEL[5nfWLXZF=dFI¡l5N%nXZcGXZF=d WELN%NocT_K^cN%lF=d&j5EkXZd5nfXj\ZN%cFa7XZdw¸F=EGM`KIWGXZF=dHuKaXZd¿5p5NM&KaXZd&l\X21N%ELN%d5noNXZc:l\XZMNod5cGXZFa d_Ka¤XW±i3PFaWp5NRlªKaW£Kw]+FaWp_N ² N 1N%nWGXbwNa³Pdw[5MRTVNoEFI:puijVFIW£p5N%cN%c%]K^d_lFaWp5N}jVFJF^ FaBYw[5NockWLXZF=d5c% _F=ENf°_K^M`j\ZN^]J¢Pp5NodF=T\eGN%nWGjµF=cLNoczK^ELNW£K^¹UNod}XZduWFRK^non%F=[5duW%]u¢N|K^EGN l5NyKaXZd\Hz¢XW£p`K^dN%ccN%dJWLXKai}XZd dXWNPdw[5M}TVN%E$Fa+pJijVF^Wp5NocLNoc% F=EGNoFobuNoEf]^XW>XcTuid_F MNyK^d5cF=TJb\XZF=[5c¢|p_KaW|K^EGN®W£p5N¬GEkXHJpJW£}¸NoKaW£[5EGNoc:WFNodJWNoE¥W£KIXZd¿]5¢Pp5NoEGNyK^c%]\Xd |SB®] ¢NK=EGN
(81) j5ELFobwXZl_N%l¢X¤WpKELNfKIWGXbwNficLM`KIõcNfWPFaMNyK^cL[_EGN%M`N%duWc:K^d5l¬NbuNoE¥i&WN%cGWXZc l5NoE¥XbwN%lTJiK^j5j\i\XZd\HKW£p5EGNocLp5F^ZlWFF=d5NmFaBWp_N%cN^ hNonfXZcGXZF=dRWELN%NocBp_KobuNKaZELNoK^l\i}TVNoN%d[5cNol®¸F=E¡EGN%noFIHJd\X¤WGXZF=d}XdRj_KaWLWN%ELdREGNon%FIHud\XWGXZFUd K^d5ln%F=Mj_[\WNoEªbwXckXZFUd¿y´¥dmj_K^E¥WLXZn%[\ K^Ef]Jgu¢KaXZd ² taO ¸³µnoF=d5cGWEG[_nfWc7Kl_N%nfXckXF=dmW£EGN%N¡TªK^cLNol F=d N%duWEGF=jui EGNol5[5nWGXZF=d K^d5l F=T\eGN%nW`W£F=jVFIZFIH=i XZd F=EGl5NoEW£F¨EGN%noFIHJd\X¶aN3jVFIip_N%l5ELK\ |[5E
(82) T_K^cGXZn&F=[\WLZFuF=¹XZcKaZMF=cGW
(83) W£p5Nc£K^MN^ |d5Nl\X217N%EGNod5n%NXZcWp_KaWz¢NK^n%noF=[5duWh¸F=E d5FIXckiELN%cjVF=d5cN%cRXZd«Wp5N¬noF=d5cGWEL[5nfWLXZF=d6FahWp5N¬l_N%nfXckXF=d¨W£EGN%N=·K^d5FIW£p5N%ERXZcWp_KIW}¢N ' . . . . . #. . . . . . ,. . . .
(84) . . -#. &. . . . . øõø äyýoî.
(85) . on F=d5cGXZl5N%E K^E¥HJNf±cnoKIZNRj5ELF=T\ZNoMc%'.hFJK^l ² ~ ³[5cNoc|cLNyK^EGnfpWELN%NocWFM`KaW£nqp¬l5NWNonfWNol bc%Jj_EGN%lXZnfW£N%lNol\HJN%c%]uK=d5lN%Mj5pªK^ckX¤¶yNocºj_EGNq¥j5ELFun%NocLcGXZd\HWF
(86) EGNol5[5noN:ELN%noFIHJd\XWGXF=d`WGXZM`N^ hK^d5cNodK^d5lPNod5l5NoEGcF=d ² v=v ³|[5cN M`Ful5NfZcmWF&HJNod5NoELKaWNK«GckW£ELKaW£NfH=i3WELN%No T_K^cNol F=d@NyKaW[5ELN%c ² N^ H5¤]N%lHJN%c¬K^d5l c[5E¥¸K^noNj_KaW£nqp_N%cf³`K^d5l [_cLN3XW¬WFHJNod5N%EKaWN pJi5jVFIWp_N%cN%cRK^TVF=[WF=T\eGN%nW}jVF=cN%c%>gwF=ccK3K^d5l|F=ELK^[5l ² t= ³zNq°5jZF=EGNKbUK^E¥XKIWGXZF=d Fa|HJN%F=M`NfWEkXZnp_K^cp\XZdH'T_K^cN%l¨F=d«ELNfKaWLXZF=d_KaPHJELK^j_p5cR¢Pp\XZnfpnyK^j\W£[5EGN`W£p5N`XZdJW£E¥XZd5cGXZn WFUjVFIZFIH=iFa¡F=TekNonfWc%VgwN%N
(87) KaZcF v Ø] vyt Ø] twv Ø] t=x / õXd_KaiJ]zM`K^dui Xl5NoK^c'p5NoEGN©F=EkXH=XZd_KIWNXZd [5d_j5[5T\XZcp5Nol ¢F=EL¹ TJi + XN%d5Nodw cGWFunf¹ª]7gª).hNoM`K^d¿] z + n Z[_EGN^]¿K^d5lWp_N EGcGWhK^[Wp5F=E®F=d¬XdJb=K^EkXK^dJW ² X¦N^Z]µb\XZNf¢ XZd_l5N%jVNod5l5N%duWf³ºEGN%noFIHJd\XWLXZF=dFI+EkXH=XZlF=T\eGN%nfW£c%]uc[5nfpK^cbuNop\XZnZN%cK^d5l&nfp_K^ELK^nWNoEBFUdJWc% noFUK^EGcNfØW£Fa d5NnfK=cLcGX nyKaWGXF=d'XZczjVN%E¥F=EGM`N%lKaWzNoK=nqpXM`KaHJNRZFunoKaWLXZF=d¿·BM`K^duipJiu jVFIW£p5N%cN%cK^ELNcGXZM}[\W£K^d_N%F=[5cGinoF=d5cGXZl5N%ELN%lKIW}W£p5NNyK^E¥icGW£KaHuN%c%]BHUXbwXZd\H¢K%i¯XZd K noF=dJWELFIZNol j5EGFIHJELN%ccGXZF=d@WF¯XZd5n%ELNoK^cGXZd\HUi cjVN%nfX KaX¶aN%l W£N%cGWc%p5N¬l5N%nXZcGXZF=d@WELN%NXZc noF=d5cGWEG[_nfWNol`F 1VØXd5NmTJi`M`Ky°\XM}X¶%Xd\H}MNoK^c[5ELN%cFa$lXZcckXM}XK^EkXW±i¬K^M`F=d\H}F=T\eGN%nWcGX p5F=[_NfWGW£N%c% . . '. . -. . . $. . . . . . R> R>y ¬ ! R>% &
(88) !"#$ NTVNfH=Xd'¢XW£pK¬cNWzFapJi5jVFIWp5NocN%c%]+c£K%i% '&)(+*-,.( ,)/0/1/1,.(3254 $´±d¯cF=MNnoK^cNoc] NyK^nqp (76 %EGNfN%ELc>WFKmcjVN%nX nF=TekNonfWfajVFUcLNPj_KaXZEkXZd\H5 _F=ENq°_K=Mj\ZN=]=XZdF=[_EBF=ELMR[w KaWLXZF=d©FIW£p5NEGFUK^l'j5EGF=TZN%M¬]µWp_N%EGNRXZc
(89) FUd5NpJijVFIW£p5N%cGXZc|¸F=E®NyK^nfp ² KaZFy¢K^T\ZNI³®ELFUK^l noF=d HJ[5EKaWGXZF=d©K=d5l3XW£cjK^n%NoMN%duW|XZdWp5NXZM`KaHJN=+´±d'FIWp5NoEmnoK^cN%c%]VW£p5NpJijVFIW£p5N%cNoc K^ELNmK^nW[_KIin%F=M`jVF=[5d5l¿ ªF=EXZd5cGW£K^d_n%N^]_NyK^nfpF=d5NhM}X¤HJpJWELN%j5ELN%cN%duW:K^dN%duWGXZELN®nK^cc Facp_K^jVNoc%]µK^c|XZddw[5M`N%ELKIõEGNon%FIHJdXWGXZF=d·+d5NfXW£p5N%EW£p5NjVF=cN%c|d5F=E|cjVN%nX nb=K=E¥XKaWLXZF=d5c K^ELN
(90) Nq°_j\XZnXWGiNodw[5MNoELKaW£N%l¿ ² N
(91) M`K%iKIZcLF¢XZcpWF}XZd5nZ[5l_NzK^dK^j5j_EGF=j5EkXKaWNGdw[\¤ pJi5jVFIWp_N%cGXZc%] h¸F=E>Nf°_K^MjZNF=d5NPEGN%j_EGN%cNodJWGXd\H®W£p5NNbuNodJWºWp_KaWd5F
(92) F=TekN%nW>XZcj5ELN%cN%duW%³ NK^cc[5MNWp_KaW`Nf°_K^nWGiF=d5NpJijµFIWp5NocLNoczXZcWEG[5N=]>l5N%d5F^WN%lTJi98¨]>K^d5lnqp_F=cLNod K^non%F=ELl\XZd\HW£FcLF=M`NPXZd\XWLXKaºl\XckW£E¥XZT5[WGXZF=d7: ;& : ²<( ³ >=² 8 ?( ³ ,@(A6 % 4 ´±d\F=EGM&KaWGXZF=d@XcK%bUKaXK^T\N3¸EGF=M Kl\XZcn%ELNfWN3noFIZN%nWGXZFUd FazWN%cGWcCB *D, B ,E/1/0/1, BGF] ¢Pp\Xnqp`K^ELNEK^d5l5F=M bUK^E¥XK=T\ZN%c%5´±dF=[_EK^j_j\XZnyKaWGXZF=d_c]W£p5NW£N%cGWcK^EGNFunoKaµ[5d5nWGXZFUd_KaZc FaW£p5NXZM`KaHJNlªKaW£Kw·:cjVN%nX nNf°_K^MjZN%c`K^ELNH=XbwN%d@KaW£N%E{|FIWGXZnoNWp_KIWWp5NoEGNK^EGN W¥¢Fml\XZcGWGXZd5nW:cLFU[5EGnoN%c¡FaõELK^d_l5F=Md5Nocc§=[5d5n%NoE¥WqKaXZdJW¥iK^TVF=[W>Wp_N:WEG[5NPpJi5jVFIWp5NocGXZcK^d5l [5d_n%N%EkW£KaXZduW±i'XZd'W£p5NWN%cGWK^d_ck¢N%EGc%õ´¥dHJNod5N%EKa]$WpXZc
(93) ¸K^M}X¤iFaWNocGWcmXcbuNoE¥iK^EkHJN . (. . ). ). (. üäaÖØÒÜÙ ..
(94) ~ ^K d5l¢N
(95) M&K%i¬K^cc[5MNhWp_KaWo]V¢XWp3j5ELF=T_K^T\X¤XW±iF=d5N ² F=E|d_NoK^E¥¤iF=d5Na³£]VWp5NzN%duWGXZELNzcNW FaWN%cGW£c ² NocLcNodJWGXKIiª³|l5NWN%ELM}XZd5Noc8´±dFIW£p5N%E|¢F=EGl5c%]VH=X¤buNod3Ka¤¡Wp5NWN%cGW®EGNoc[\Wc%] Wp_Nn%F=d5lXWGXZF=dªKal\XZcGWEkXZT5[\WGXF=dF=d78 ¢F=[\lTVNNf°\WELN%M`NfijVNyK^¹UNol¿µp5NmXl5NoKXZchW£F jVNoE±F=ELMFUd\iKcM`KaªEK^nfWLXZF=dFIW£p5NWNockW£cK^d5lcGWGX+K^n%no[5ELKIWNf¤i&N%cGWGXZM&KaWN 8\p_N WNocGWcK^EGN&jVN%E¥F=EGM`N%l¯cN%Y\[5N%duWGXKa¤i¨K^d5lK^lªK^j\WGXbwNf¤iU]ºMNyK^d\XZdHW£p_KaWKaWRNoK^nfp¯cGW£KaHJN ¢NM`Koi[WGXX¶aN&W£p5NEGNoc[\WczFaPj5EGNbwXZF=[_cmWNocGWc®XZd¨F=ELl5N%E®W£Fnfp5FuF=cN}Wp5N`d5Nq°W
(96) F=d_N^ |[5Ehj_EGF=T\ZNoM XZc|W£p5N%d3WFjVN%E¥F=ELM W£p5N%cN
(97) WNockW£cPXZd¯K^d@LF=j\WGXZM&KaZ¬F=EGl5NoEhELNfKaWLXbuNRW£F cF=MNmn%EkXWNoE¥XZF=d]V¸F=EXd5cGW£K^d5noN[5cGXZdHK^c¸Nf¢ WNockW£chK^c|jVF=cckXZTZNRKaWhKH=XbwN%d3K^n%no[5ELK^ni ZNbuN]ªF=EK^nfp\XZNbwXZdHWp5NmTVNockWPK^n%no[5ELK=nfi&¢XWpKH=XbwN%ddw[5M}TVN%EFaBW£N%cGWc% ´±d¨Wp5NcGXZMjX Nol:¢NodJW¥i [5NockWLXZF=d5cRHuK^M`N^]$W£p5NEK^d5l5F=M b=K^EkXK^T\ZNoc B , v ,)/0/1/0, ]K^ELN¬T\XZd_K^EkiK=d5lnoF=d5l\X¤WGXZF=d_Ka¤i l5NHJN%d_N%ELKIWN^ |N%d_n%NKIW£p5NELNfZNb=K^dJW`XZdw ¸F=EGM`KaWLXZF=dXZc&noK^jW[5ELN%l«TuiW£p5N¬T\XZd_K^EkiM`KaWEkXÜ ° &
(98) , v ,)/0/1/0, >, v ,)/0/1/0, 4 ¢Pp_N%EGN
(99) ;=² B v 8 ( ³£ ² n%F=[5ELcLN=] =z² B 8 ( ³ v
(100) ³:p5NoEGNhXZc|d5FELK^d5l_F=Md5NocLc:XdWp5NmWN%cGWPF=[\W£n%F=M`N%cF=d5noN 8 XZc|¹wd_Fo¢Pd¿_´±d Wp_NRnoK=cLN ¢Pp_N%dKa¡WNocGWchK^EGNK%b=KaX K^T\ZN ² cF`Wp_KIW t 2 ³]µW£p5NMNyK^d¬N%d\H=W£ p Fa Wp_N |[1M&K^dnoFul5NmcKaWLXZc N%c:W£p5N®XZd5NoYw[_KIXWGXZNoc ² : ³ ² : ³ 6v ¢Pp5NoEG!N ² :$³l5Nod5FIWNoc:Wp5NmN%duWELF=jJiFaBWp5Nmj5ELF=T_K^T\X¤XW±il\XckW£E¥XZT5[WGXZF=d7:¡§ ² :B³ #"%$7: '² & ³JZF^H : '² & ³ ). ). (. ¢XW£pWp5Nn%F=dJbwN%duWGXZF=d©W£p_KaW $ZFIH w ² p5NN%duWEGF=juiFa®K3EK^d5l5F=M b=K^EkXK^T\ZN( XZc
(101) l_N d5NolK^)c ² :B³¢Pp5N%ELN : ²'* ³ =z² ( +* ³£Ü³ p5N%dF=di'cF=MNFa:W£p5NRc[5T5cNW Yw[_N%cGWGXZFUd5c`K^EGN3K%b=KaX¤K^T\ZN ² T5[W}W£p5NficGWGX¤ml5NWN%ELM}XZd5NC8]¡X¸ N=¤]Wp5NEGFo¢PcFI, K^EGN l\XckWLXZd5nfW³]=W£p5Nj5ELF=T\ZNoMrXZcBWp_N%dWF®l5NfW£N%ELM}XZd5NW£p5NF=j\WLXZM`Ka_cGWELKIWNfH=i
(102) F=E¡M}Xd\XZM}X¶oXZd\H - '² . ³]¢Pp5NoEGN . l5Nod5FIW£N%cPW£p5NRl5NonfXZcGXZFUd3WGXMN^]¿X¦N^Z]Wp5NRd\[5MRTVNoEFaW£N%cGWchjVNoE±¸F=EGMNol TVNfF=EGN8 XZc|¹\d5Fo¢PdNf°_K^nWGiU0 /|dwF=EkW[5d_KIWNf¤iU]5W£p\XZcj_EGF=T\N%MXc|{PD n%FUMj\ZNWN^. 21 3 54,6798)7 :;6< >=6. ?=. 6A@CB D6 ´¥d¬j5E¥XZd5nXZj\ZN=]V¢N
(103) nyK^dXZM`KaH=Xd5Nl_FIXZd\HKaõWp5N®W£N%cGWc|K^d5l¬2Hn%F=G M`j5[\WGXd\HWp5N
(104) M`Ka°\XZMR[_M XZ¹JNf¤XZp5FuFul ² F=EM&Ky°\XZM}[5M K¯jVF=cGWNoE¥XZF=EkXųN%cGWGXM`KaWF=F E 8 E K^EkHJM`KyJ° ILKLM =z² 8 ( B * ,E/1/0/1, BGF:³:p\XZc`XcF=TJbwXF=[5cGi6M`F=EGNK=n%n%[_ELKaWN¬Wp_K^d K^dJi6N%cGWGXZM&KaWF=E&T_K^cN%l6F=d l5FIXd\H FaWp5NRW£N%cGWc% |Fy¢NfbwN%E]¿NfbwN%dXÜXW
(105) ¢NoEGN¸NoK^cGXZT\N}WF¬l5F¬Ka>W£p5NRWNockW£c] . øõø äyýoî.
(106) v Wp_N%EGNmELN%M`KaXZd_c:Wp5Nmj5ELF=T\ZN%MFa¡l5NWNoEGM}XZdXZd\H 8 E H2 G §Wp_N%EGN
(107) K^EGNmnoN%E¥WqKaXZd\iWFuFM&K^dJi WNocGWpXZcGWF=E¥XN%c`WF'cGWF=ELNKaPWp5N¬jVF=ccGXZT\X¤XWGXZNocXZd@K^lb=K^d5noN^]K^d5l6FaüWNodd_F¯F=TJbwXF=[5c ¢Koi«WFn%F=Mj_[\WNW£p5N3N%cGWGXZM&KaWF=E&F=dw/XZd5N=´¥d5l5N%Nol¿]¢N¢XZcp6WF'HJNWELF=[\HJp\¤i6Wp5N c£K^MN®jVN%E±¸F=EGM`K=d5n%Nh¢Pp5NodNoK=nqpT5ELK^d_nqp¬FaBW£p5N
(108) l5NonfXZcGXZF=d¬WEGNoN®noF=dJWqKaXZd5c|F=d\¤i¬KzbwN%Eki cM`Ka\¸ELK^nWGXZF=d&FaµWp5NWF^W£Kaµdw[5M}TVN%EõFa¿W£N%cGWc%^´¥dN 1NonfW%]^¢NN%cGWLXZM`KaWNWp_N:M`Ka°\XZMR[_M XZ¹JNf¤XZp5FuFulN%cGWLXZM`KaWFUEf. 6 ªF=EcGXZMj\XnfXW¥iU]¿K^cc[5MN|NoK^nfp&W£N%cGWB K^cc[5MNocb=KaZ[_N%cXdnoF=MMFUd¿] d\XW£NcNfW 1Fa cGX¶aN :, F mXZcWp5NodK¸[5d5nWGXZF=d r² * ,E/1/0/1, F³EGFUMFUT5cN%E¥bUKaWGXZF=dbwN%nfW£F=EGc ² * ,)/0/1/1, F ³ 6 WFjVN%ELMR[\W£KIWGXZF=d5cmFa & v ,)/0/1/0, 4 c[5nfp¬W£p_KaW * 6& v ,E/1/0/1, 4 XZczK noF=d5cGW£K^dJWo] ² * ³ , ² * , ³]7NfW£n^p5NRdw[_MRTVNoEPFajVF=ccGXZT\NcGWELKaW£NfH=XZNoc HJELFo¢Pc:buNoE¥iØK^cGW¢XWp p5NmF=T5cN%Ekb=KaWGXF=d5cHJNod5NoELKaWNolTui&EGNf±F=ELl5N%EkXZd\HWp_N|W£N%cGWc B , v ,)/0/1/0, K=n%n%FUE± l\Xd\H`W£F`K`ckW£ELKaWNH=i ¯¢X¤ºTVNzl5N%d5FIW£N%l¬Tui * , ,E/1/0/1, F µpw[_c] * B , B K^d_l¿]wXZdHJN%d_N%ELKI] B
(109)
(110) p5N|d_FIW£KaWGXF=dXZcKo¢P¹J¢K^ELl¿]\T5[\W:Wp5N MNyK^d\XZd\Hcp5F=[\lTVNnZNoK^E§ * l5NWNoEGM}XZd_N%cWp5N ELckWhYw[5NocGWGXZF=dK^c¹UNol¿]µl5N%d_FIWN%l * · K^j5j\XN%lW£F * l5NfW£N%EGMXZd5NocWp_Nhd5Nf°\WYw[5NockWLXZF=d ·_NWn^_{|FIWLXZn%N®W£p_KaW * ,E/1/1/0, F K^ELN
(111) d5FIWn%F=d5lXWGXZF=dªKai3XZd5l5NojVN%d5l_N%dJWH=XbwN%dC8¨ . . . . . . . $ #% & ,. .
(112) . . . . (. (. . . . . (. . . &%'( *)*)*). . !"$#. . %,+ -#. . (. . . . (. .. /. (. .
(113) . 0. (. . >B 6. 6 p5N®l5N%nXZcGXZF=dWELN%NhWp5Nodp_K^c * KaW:W£p5NmEGFuFIW ² FUEZNbuNÜ¥F=d5Na³d_Ful5N^]\¢Pp\XZnfpT5EK^d5nfp5N%c XZduWF 6d5Ful5NocnoF=EGELN%cjVF=d5l\Xd\H`W£F}Wp5NjVF=cckXZTZNRK^d5cG¢NoEGc & * 4 , 6 R,+K^nfp¬Fa Wp_N%cN NfbwNfÜ/W±¢F}d_Ful5N%cWp5Nod¬T5ELK^d5nfp5NocXZduWF ZNfbwNfõWp_EGN%N
(114) d_Ful5N%cPn%F=ELEGN%cjVF=d_l\XZd\H WF|Wp5NF=[\W£n%F=M`N%c$Fa ]=K^d5l}cF:FUE¥Wp¿ NoE¥W£KIXZdRd5Ful5NocºK=EGNl5NonfK^ELN%lW£FhTVN¥W£N%EGMXZd_Ka d5Ful5Noc&K^d_lK^TVNZN%l'TJiF=d5NzFaWp_NpJi5jVFIWp_N%cN%c (96 %7p\XZc|M`KoiTVN
(115) F=EGM&KaX¶aN%l [5cGXZd\HRcGWF=j5jXZd\H}K^d5lnK^cckX noKaWLXZF=dEG[ZN%cT5[\W¢Ncp_Ka¿c¹JXj}Wp5NPl5NfWqKaXZc%\´¥d}HJN%d_N%ELKa¸] NyK^nqppuijVFIW£p5N%cGXZc ( ¢XõTVN
(116) K^ccFunfXKaW£N%l¢XWpM`K^dJiW£N%EGMXZd_Ka+d5Ful5Noc]_K^d5l&FIFo¢XZd\H c[5nfpK:W£N%EGMXZd_Ka\d5Ful5NT_K^nf¹|W£FW£p5N>EGFuF^W$¢X_j5EGFul_[5n%NF=d5NcLNoYw[5Nod5n%N¡FI_F=T_cLNoE¥b=KIWGXZF=d5c ¸F=Eº¢Pp\XZnfp 8 E ( ]=¢Pp_N%EGN 8 E l5Nod5FIW£N%c>F=[_E¡N%cGWGXZM&KaWF=E¡Fa 8 _F=E¡NyK^nqp ( ]=Wp_N:WFIW£KIXW±i Faªc[5nfp®cNoYw[5Nod5n%Nocµl5NWN%ELM}XZd5Noc+KEGNfHUXZF=dFaªF=T_cLNoE¥b=KaWLXZF=dcj_K^noN$ªW£p5N>NbuNodJW & 8 E ( 4 :K^cGXZnyKaiU]|¢N¢K^dJWWF ckW£F=j WNocGWGXZd\H ¢Pp5Nod F=d5NFIW£p5NpuijVFIWp_N%cN%c%]F=EF=d5N noF=p5N%ELN%dJWnfK^ccFapuijVFIW£p5N%cNoc]TVNon%F=M`N%cFybuN%Ek¢Pp5NZM}XZd\H=¤i«XZ¹JNfiJ ªF=E&NoK^nfp v 1. 32. 4. 5. 6. 7. . 8. . . 9. . (. . . üäaÖØÒÜÙ ..
(117) v=v K^d5l¬NyK^nqp ² $* ,)/0/1/0, ³ 6 noF=d5cGXZl5NoE:Wp5NGjVF=cGWNoE¥XZF=EPl\XZcGWEkXZT5[\WLXZF=d5 =² 8 ( * * ,E/1/0/1, ³|d5N
(118) cGXZM`j\ZNmckW£F=j5j\XZdHWGXZM`N|Xc . M}XZd & ! v GM`I Ky° =² 8 ?( * * ,E/1/1/0, ³ v 4 XÜ =z² 8 ( * * ,)/0/1/1, ³ vH |F=E
(119) cF=MN (6 % , v ,)/0/1/0, ]õK^d5l . FIWp_N%E¥¢XcLN=up5N:WNoEGM}XZd_KIVd5Ful_N%cK^EGNWp_F=cNPKaWzkZNfbwNf . zp\XZc>XZcNoYw[\XbUKaZN%duW WFckW£F=j5j\XZdHK^cmcFuF=d'K^chWp_NRN%duWEGFUjJiFaW£p5NRjVF=cGWNoE¥XZFUE®l\XckW£E¥XZT_[\WGXZF=d'¸KacTVNZFo¢K Wp_EGN%cp5F^Zl¿ p5NRFybuNoELKaK^non%[_ELK^nfiFaWp_N}j_EGFun%Nol5[5ELN}MXHJpJWmTVNMNyK^c[5EGNol3TJi =² 8 E 8©³ F=E}[5cGXZd\H3Wp5NNodJWELF=jJiKaWRW£p5N`WNoEGM}XZdªKad5Ful5Noc¡p5N&cLjVNoN%lwkK^non%[5EK^nfiW£ELK^l5Nf¥F 1 XZc Wp_N%d'EGN%j_EGN%cNodJWNol3TJi Gl_[_KaZnoF=d5cGWEKaXZd5N%l'F=j\WLXZM}X¶IKaWGXZF=d¨j5ELF=T\ZNoMc%§ °3Wp5NMNyK^d l5NonfXZcGXZF=dWGXZMNK^d5lcNoK^ELnqpzF=E¡Wp5NMF=cGWK^n%n%[_ELKaW£Nl5N%nXZcGXZF=dRWEGNoN ² W£p5N:WEL[5NK^dªKaZFIHJ[5N FaW£p5NW¥¢NodJW¥iY\[5N%cGWGXF=d5cj5EGF=TZN%M³mF=E °'W£p5NZNfbwNf:Fa|K^n%no[5ELK^ni©K^d_l©cNoK^ELnqp¸F=E Wp_Nl5NonfXZcGXZF=dW£EGNoN¢XWpW£p5Ncp5F=EkWNockW`MNyK^d«j_KaW£pZN%dH=Wp¿:´¥dNXWp5NoE&noK^cN^]Nf°_K^nW cFIZ[\WLXZF=d5cK^EGNHJN%d5NoELKa¤i¨[5d_Kob=KaX K^T\ZNK=d5l'¢N&K^EGNZN%l©WF¬Wp5N`j5EGF=T\N%M FI d_l\XZd\H HJFuFulp_N%[5EkXZcGWGXZnoc . . . . . . . . . . . 1 & ¡® ´Ø
(120) XZcK^dNfbuNodJWo]IW£p5NN%duWELF=jJiRFa+KmEK^d5l5F=M1b=K^EkXK^T\ZN!( EGNKaWGX¤buNWFmWp5NnoF=d5l\XWLXZF=d_Ka j5ELF=T_K^T\X¤XW±iM`NoK^c[5EGN =z²@/
(121) }³ºXZcl5N%d_FIWN%l`TJi ² (m³]K=d5lW£p5N|n%F=d_l\XWGXZFUd_Ka+N%duWEGF=jui FaC( H=XbuNod6K^d5FIWp_N%EELK^d5l_F=M b=K^EkXK^T\Z N XZcl5N d5N%l K^c; ² ( z³ +=² 2³ ² (m³£ª´ØW:FI¤ZFo¢PchNyK^cGXiW£p_KaW ² ( ! ³ ² (m³ , X¦N^Z]5W£p5N®[_d5n%NoE¥W£KIXZdJW¥iK^TVFU[\W ( nyK^d¬F=d\iTVNmEGNol5[5n%Nol[5jVF=d¬F=T_cLNoE¥bwXd\"H }]ªK^d5l¢X¤ EGNoM`KaXZd[5d5nfp_K^d\HuN%l&X (rK^d5# l K^EGNhXZd5l_N%jVNod5l5N%duW% (õNf$W
(122) & * *-,)/0/1/0, 4 K^d5lK^cc[5MN =z²
(123) &³ % wªp5NmT_K^cGXZn
(124) XZl5NoKXZc WpXZc%§µKaWPcGWqKaHJN @vnfp5FuF=cN®Wp5N®W£N%cGW B , ( ' * , ,)/0/1/1, ]5¢Pp\XZnfp¬M`Ky°XZM}X¶aN%cWp5N Nf°5jVN%nWNolHuKaXZdXZdXZdw¸F=EGM`KIWGXZF=dK^TVFU[\W 8 ELF=M F=T_cLNoE¥bwXd\H B ]µp_K%bwXd\HKaEGNoK=l\iF=Tw cN%EkbuNol
(125) wp\XZc>XZcWp5Nc£K^MNK^cM}XZd\XM}X¶%Xd\HWp5NNf°5jVNonfWNolK^MF=[5duWFa7[5d5noN%EkW£KaXZduW±i K^TVF=[W 8]X¦N^Z]ª[5d_l5N%EWp_N®jVNod5l\XZd\HjVF=cGWN%EkXZF=El\XZcGW£E¥XZT5[\WLXZF=d¿¿p\[5c%] * K^E¥HJMXZd ** ) ) F ² 8 B ³. . . øõø äyýoî. (.
(126) vyt K^d5l]F=E. vU]. . G*%² $*-,E/1/0/1, ³ K^EkHJM}XZd
(127)
(128) ² 8 B ³ / ¼ ü!4
(129) 5 ¼ 5p_N%EGNXZcKhcjVNonfXKaµnoK^cN ² W£p_KaW¡¢NcLpªKa¿K^j5j\i}WF d5l\XZdHzEGFUK^l5cf³ XZd¢Pp\XZnfpX¤WXZcjVF=ccGXZT\NWF
(130) nyKaZno[\KaWNW£p5NN%duWEGFUjJicGW£ELKaWNH=i}Nq°ªK^nfWLiU!.hFmT_K^nf¹WFhWp5N noF=d5cGWELKaXd5N%lW¥¢N%duW±i&Y\[5N%cGWLXZF=d5cj_EGF=T\N%M K^d5l¬EGNonoKa¤7Wp_KIWXÜpJijVF^Wp5NockXc ( XZcW£EG[5N Wp_N%dW£p5NK^d5cG¢NoEW£F}WNockW õTVN¥iwN%cRXÜ C
(131) vK=d5lWp_NzK^d5cG¢NoE õTVN Gd5FU®XÜ
(132) wJp5NoEGNXZc>d_F®EK^d5l5F=M`d5N%ccõXd}Wp5NELN%cjVF=d5cNocBF=d5noN:Wp5NpuijVFIW£p5N%cGXZc XZc °_N%l¿${|Fo¢ HJN%d_N%ELKa¤X¶yN`W£p\XZcTJi'l_N%nK^E¥XZdHWp_KaWF=EK^dJi¯j_KaXZE '² , ³h¸F=Em¢PpXZnqp
(133) v}W£p5NRj_EGF=T_K^TXXW¥i¯K%¢ =² B 8 ( ³ , 96 ¸F=E®WNockWB XZc®H=XbwN%d TJicF=MN ² l\XZcn%ELNfW£Na³l\XZcGW£E¥XZT5[WGXZF=d * ² ³:K^d5l¢Pp5Nod5NfbwN%E
(134) Wp5Nml\XZcGW£E¥XZT5[WGXZF=d XZc ² ³¿p5NmXZl5NoKI]d5F^XZcNfZNocLc%]¿K^d5cG¢NoE:XZcB v¢Pp_N%d
(135) vzT5[\WPWp5NK^nfW£[_Ka K^d5cG¢NoEXZchKc£K^M`j\ZN|EGFU M * ]ªK^d_lcGXZMXK^E¥¤i¸F=E:Wp_N®FIW£p5N%EnyK^cN^ 4 ¼ $Xܰ®W¥¢FNoEGEGF=E+ELKaWNoc * K^d5l K^d5l
(136) nfp5FuF=cN *£² ³ v * K^d5l ² ³ # XÜ v=]=K^d5l * ² ³ * K^d_l ² ³ v XÜ w^p\[5c * ² ELN%cj¿ ³7EGNoj5EGNocN%dJW£c Wp_N
(137) j5EGF=TªK^T\XX¤W±iFa¡p5NyK^E¥XZdHWp5N¥¢PEGF=d\HJ&K^d5cG¢N%EXÜ>Wp5NGE¥X¤HJpJWK^d5cG¢NoEXZc B v ² ELN%cj¿ B J³£ ´¥d q~¢Ncp_Ka¤|cN%NW£p_KaWXÜ
(138) Wp5NWNocGWcK^EGNnoF=d5l\X¤WGXZF=d_KIi@Xd5l5N%jVNod5l5NodJW%]ºWp_N%d«Wp5N F=d\¤iY\[_K^duWGXW¥iWp_KaW®M`KaWLWNoEGc:XZd3n%F=d_ckW£EG[5nWGXZdH`W£p5N
(139) N%duWEGF=juicGWELKaW£NfH=iXZcWp5Nzj5ELF=T_Ky T\X¤XW±i&WpªKaW%]uH=XbwN%dWp_Nj5ELNfbwXZFU[5c K^d_ck¢N%EGc%]JY\[5N%cGWGXF=d B XZcK^d5cG¢NoEGN%lK^non%F=ELl\XZd\HW£F * . . . . )*)*) . $. . . $. . . ). . . . ). . ). . ). ). . ). ). 3 B¡ ! 6
(140) >% p\Xc>j5EGFUT\ZN%M p_K=cM&K^dJi
(141) b=K^EkXKaWGXF=d5c%p5NM`F=cGW¡EGNyKaXZcGWGXn®K^d5ll\X &no[\WXZc>WFGEGNyK^l5 [5d_cLNHJMN%duWNol}nfp_K^EK^nfW£N%EcGWEkXZd\HJcXZdHJEGNfi`ZNfbwNf¿XZM`KaHJNoc]cKoi}XM`KaHJN%cFa$¶%XZjn%Ful5Noc:F=E p_K^d_lw¥l5ELK%¢Pdnqp_N%nf¹wc%]XZd©¢Pp\XZnfp¨noK^cN}Wp_N`XZd5l\Xb\XZl5[_KaPnfp_K^EK^nfW£N%EGczM`K%iWF=[5nfp¨NoK^nfp FIW£p5N%EK^d5l'W£p5N%ELN`M&K%iTVN&K^EkWGXÜØK^nfW£cz¸EGF=M FIWp5NoEcGW£EG[5nfW£[5EGNoc%õ´/WXZcW£p5N%dd5N%noN%cc£K^E¥i WF}l5NoKI¿¢XWp Ūp_Nhdw[5M`N%ELKaj5EGF=T\N%MHJNWcNoK=ckXN%EXÜ¡F=d5N K^cc[5MNoc ² K^cz¢N`l5Fu³|W£p_KaWzWp5N&nqpªK^ELK^nWN%ELcRK^EGN&cNfHJMNodJW£N%l¸EGF=M"W£p5NT_K^nf¹JHuEGF=[5d5l K^d5l¸EGF=MNoK^nfpFIWp_N%Ef p5NoEGNK^EGNPd5Fo¢ WNod ² n%F=M`jVF=[5d5lV³$puijVFIW£p5N%cN%c¡noF=EGELN%cjVF=d5l\Xd\HW£F®Wp5NWNod}lXH=XWc%· Ka¿b=K^EkXKaWGXZFUd5c¢XW£p\XZdcp_K^jVN|nK^ccLNocK^d5l&cLjªKaWGXKa7jVF=cGXWGXZFUd\XZd\HJc|K^EGNhKaH=HJELNfHuKaW£N%l`XZduWF . . . . . $". . . . üäaÖØÒÜÙ ..
(142) vo F=d5N&pJi5jVFIWp5NocGXZc%$p\[5c%]+8 6 & ,E/1/0/1, ~ 4 K^d5l©NodJWELF=jJi'ELN%l5[_nfWGXF=d¯XcREGNKaWGX¤buN`W£F 8 ELKIWp5NoE:Wp_K^d¬K^d¬N%d\[5MN%EKaWGXZFUdFaBXZd_l\XbwXZl_[_Kaºj5ELN%cN%duW£KaWGXF=d5c%. " p5N>W£N%cGWcBK^ELN:KaªTXZd_K^E¥iRK^d5lT_K^cN%lF=dRKaWLWE¥XT5[\WNolzHJEK^j5p5c% N °RKPcNfWBFa¿jVF=cLcGXZTZN q]KzcNWFIBjVF=ccGXZT\ZN
(143) q]K^d_ln%F=d5cGXZl_N%EW£p5N|n%F=ELEGN%cjVF=d_l\XZd\H cNfW FaõKIWGWEkXZT5[\W£N%l`HJEK^j5p5c }XZd`Wp5NP[5c[_Ka¿cN%d_cLN=Jp5NbwN%E¥W£Nq°RK^TVNZcK^ELNXdJb=K^EkXK^dJW nK^ccLNocFaõNfN%MNodJW£K=E¥iT\Xd_K^E¥ij_KaWGW£N%EGd_c·uXdJb=K^EkXK^d5noN|XZc¢XW£p`ELN%cjVN%nWWFWEK^d5cGKaWGXZFUd K^d5l ² l\XZcn%ELNfWNI³EGFIW£KIWGXZF=d¿gwF=MN>FI_Wp5NocN>j_KaWLWN%ELd5cõFuF=cLNiRn%F=ELEGN%cjVF=d5l
(144) WF|noF=d HJ[5EKy WGXF=d5cEGNocN%MRTXZd\HGN%d5lXZd\HJc%] 3üek[5d5nWGXZF=d_c]¦}K=d5l¨¥W[5ELd5c%] T_[\WWp5NoEGNXZcd5FXZd5p_N%EGNodJW c[5TVnK^cckX noKaWLXZF=d@j_EGF=T\ZNoM mW£p5NWNockW£c`K^EGN¢NÜ¥l5N d5N%l¨XZM`KaHJN¸[5d5nWGXZF=dªKaZc% _F=E NyK^nqp¬W±¢FbuNoE¥W£Nq°¬K^TVNfZc%]W£p5N%ELNmXZc
(145) K&cNfWhFajVF=ccGXZT\ZNXZdJbUK^E¥XK^duW
(146) ELNfKIWGXZF=d5c%]+T_K^cNolF=d j5ELF=jVN%EkWGXZNocc[5nqp&K^cn%FIXd5nfXZl_N%d5noN ² X¦N^Z]\c£K^MNnf K^cLc%]\c£K^MNF=EkXZN%duW£KaWLXZF=dV³]_noFa/XZd5NyK^E¥XW¥iU] j5ELF%°\XZMXW±i ² X¸ N=¤]Ld5Nq°W:W£F=u³]µEGN VN%nWGXZF=d]ªNfW£n^ ² ´¥d&W£p\XZccNod5cN^]\¢Nhp_KobuN
(147) K^l5F=j\W£N%lWp5N F=[\WLZFuF=¹FI (õFo¢N vo~ õK=TVF=[\WXZdJb=K^EkXK^dJWPHJEGF=[_j\XZd\HJc%³p5N%ELN®K^ELN|W¥¢FW±i5jVN%cFa$WNockW£c§ Wp_F=cNmK^c¹uXZd\HK^TVF=[WWp_N®Nf°\XZcGWNod5n%NmFa>KcLjVNonfX n|XdJb=K^EkXK^dJW®nK^ccPK^d5lW£p5F=cNmK=cL¹uXZd\H K^TVF=[W|KRELNfKaWLXZF=d5cp\XZj3TVNW±¢NoN%d`W¥¢FRnK^ccN%c% NXZM}XW>F=[5ELcLNbwN%cõW£F l\XZcGWGXZd_nfWºHJELK^j5p_c (+NW#B l5Nod5FIWNW£p5NYw[5NocGWGXZF=dRK^ccFunfXKa WNol`¢XW£ p 6 (õNf W Rl_N%d5FIW£N®K^dXZM`KaHJN=p5NoEGNPXcKRMN%nfp_K^d\XcLM F=El5NfW£N%ELM}XZd\XZdH ¢Pp5NWp5NoE¿Wp_NK=d5ck¢N%E¿W£FW£p5N>WN%cGWP
(148) õXZcõiwN%c+F=E$d5F\ ªF=E+Nf°_K^M`j\ZN^] H=XbwN%d'K&M`K^j5j\XZdH&EGFUM XM`KaHJN%chWF`HuELK^j5p5c%]¿¢Nj5[\WB vRXÜ XZcK&c[5T\HJEK^j5p3Fa ² \³K^d5l B zFIWp_N%E¥¢XZcLN=]w¢Pp_N%EGN ² \³¡XcWp_NPHJELK=j5pK^ccFunfXKIWN%l¢XW p 55{|FIWGXZnoN WpªKaWhWp_NWN%cGW£c|K^ELNRnoF=d5l\XWLXZF=d_Ka¤i¯l5NojVN%d_l5N%duW%·_F=EhNf°_K^M`j\ZN^]ªXÜ XcmK`c[5T\HJEK^j5p3Fa ]Wp5Nod 8 zXMj\XZNoc 8 w " $#$. . #. . . . . . . .
(149) #. . 21 >B 6.6. (õNfW * ,E/1/0/1, 2 l5Nod5FIW£NWp5NXZM`KIHJN%cXZd W£p5Nl_KIW£K^T_K^cN=·jVNoEGp_K=j5cW£p5N%ELNK^EGNcNfbwN%ELKa Wp_F=[5c£K^d5lrFaWp5NocLN'F=E3NoK^nfp FaWp_N¯W£N%d lXH=XWc%p5N¯noF=d5l\XWLXZF=d_Ka`l\XZcGW£E¥XZT5[WGXZF=d =² B , 6 8 ;( ³ , 6 & , v 4 , F=dWp_N
(150) ¸K^M}X¤iFaYw[5NockWLXZF=d5c|XZchN%cGWLXZM`KaWNol TJi&Wp_N
(151) l5NWN%ELM}XZd5NolTui`W£p5N
(152) l_KaWqK^T_K^cN^]_X N=¤]ªWp_N
(153) j5EGF=jVFUE¥WGXZFUd Fa>XZM&KaHJN%c®Fanf K^cc ( ¢Pp\XZnfpc£KaWLXZc¥üi¬Wp5NnoF=d5cGWEKaXZdJW£cU[5cGWmK^chTVNfF=ELN^]KaW®NyK^nqpXWNf ELKIWGXZF=d¢N®cLNyK^EGnfpF=E:Wp_NPWNocGW¢Pp\XZnfp`H=XbwN%c:Wp_NPHJEGNyKaWNocGWK%bwN%EKaHJNhELN%l5[5nWGXZFUd&XZdWp5N NodJWELF=jJiFa8¨ 2. 9. $. øõø äyýoî. . #.
(154) . . $ #. .
(155) vO p5Nzl5N%nXZcGXZF=dWELN%NXZc®T\XZd_K^EkiU +K^nfp3d5Ful5NXcmK^ccGXHJd5NolK}HJEK^j5p ² L³ 6 @K^d5l Wp_NmW¥¢F&T5ELK^d5nfp5Nocl5Noj_K^E¥WLXZd\H&¸EGF=Mn%FUEGEGNocjVF=d5lWFWp5N
(156) W±¢F&jVF=ccGXZT\ZNRK^d_ck¢NoEGcW£F Wp_NWN%cGWB K=cLcFunfX KaWNol¢XWp V®NfW£N%EGMXZd\XZd\H&Wp5NRK=d5ck¢N%EWF&cL[_T\HJELK^j_pY\[5N%cGWGXF=d5c EGNoYw[\XEGN%cn%F=d5cGXZl5NoELK^TZN`TVFuF=¹J¥¹UN%Noj\XZdH5]$K^d5l¢F=[\l©TVNn%F=M`j5[\W£KaWLXZF=d_Ka¤i¯XZdwNyK^cGXZT\ZN F=dw/XZd_N ² K^d_l¯jVN%EGpªK^j5cmNfbwN%dF 1V/XZd5NI³®Nf°5noN%j\W|W£p_KaW
(157) ¢N}EGN%cGW£E¥XZnfW $Wp5NF=ELl5N%E XZd¢Pp\XZnfpWp5NzYw[5NocGWGXZF=d5c|nyK^d3TVNzK^c¹JN%l¿ _F=EhK^dui¬d5Ful5N £]ªWp5NHJEK^j5p ² G³K^cckX¤HJd5N%l WF MR[5cGW|TVNKc[5jVNoE¥HJEK^j5pFaWp5NF=d5NK^cckX¤HJd5N%lW£F`Wp5NjªK^EGNodJW®Fa £´¥d¬¸K^nW%]µ¢N F=d\¤inoF=d5cGXZl5NoEcGWELKaW£NfH=XZNocF=E¢Pp\Xnqp ² L³>l\X 1N%EGc¸EGF=M K^dJiK^d5n%NocGWF=EHJEK^j5p ² ³>Tui K ü]+MNoK^dXZd\H&Wp_KaWmNXWp_N%EPXü³ ² G³K^d5l ² ³pªK%buNW£p5Nc£K^MN
(158) buN%EkWGXZnoN%c K^d5l ² L³Bp_K=cF=d_NhK^l5l\XWLXZF=d_Ka+EGNKaWGXF=d¿·_F=E>XXų ² L³ºK^d5l ² ³ºp_K%bwNNf°_K^nWGiRW£p5N|c£K^MN EGNKaWLXZF=d5chK^d5l ² L³p_K^cF=d5NK^l_l\XWGXF=d_Ka$bwN%E¥W£Nq° gwF:Wp_N EGcGW+Yw[5NocGWGXZF=d®XcW£p5NºbwN%E¥W£Nq°|K^TVNfu¢X¤Wp®Wp_N¡p\XHJp5NocGW7XZdw¸F=EGM`KaWLXZF=dn%FUdJWNodJW% (õNfW * * , * 6 & , v 4 ´Ø * w]º¢NKaHwKaXZd nqp5FuF=cN¸EGF=M K^MF=dHcGXZd\HUZNfWFUd HJEK^j5p5c ² K^d5l¯d5Non%NoccK^EkXi3¸EGF=M K^MF=d\H¬W£p5NEGN%M&KaXZd\XZd\HbuNoE¥WNf°K^TµNfZcf³º´Ø $* v=] ¢Nmnfp5FuF=cN ² vI³¸EGF=MK=MF=d\HHJELK^j_p5c &¢XW£pW¥¢FRbuNoE¥WLXZn%NocK^d5l¬d5FEGNKaWGXF=d5c% ² noF=[5EGcN
(159) Wp5NW¥¢FbwN%EkWGXZnoN%c|M`Koi¬p_K%bwN
(160) Wp5NzcK^M`NmK=TVNf³ F=dJWGXdw[\XZd\H_]XÜ * v}K^d5l w]Wp_N%d¢NRcNoK=EGnqpF=E ² v , J³®K^MF=d\HHJELK^j_p5c®¢XW£pNf°_K^nfWLi3W±¢FbuNoE¥WLXZn%Noc] v=]W£p5Nd5Nf°\WHJEK^j5p ² v , v^³`p_K^c¬NXWp5NoE`Wp5ELN%N ¢Pp5NoEGNyK^c]X * v'K^d_l bwN%E¥WLXZn%Noc ² F=d5N
Documents relatifs
Mais elle y occupait une place modeste : il faudra la liberté et le goût de la transgression du roman en langue vulgaire pour que la situation soit renversée :
Les thèmes majeurs (tab.5.4) abordés par les îliens interrogés sont, pour la grande majorité, les mêmes sur toutes les îles : ils concernent les usages anciens
Chez l’Homme, les segments de gène V H ont été classés en sept familles (la famille 7 n’est pas représentée ici car aucun segment fonctionnel n’y a été décrit) qui ont
Le Négus consacra une énergie considérable en vue de gagner cet appui international, mais, malgré la force de son discours prononcé en juin 1936 devant ses pairs à la tribune de la
In this paper, we propose a novel approach based on the barycentric coordinates of automatically tracked 2D facial landmarks from videos to objectively evaluate the facial
Dirk Obbink (dir.), Doctrine and Doxography. Studies on Heraclitus and Pythagoras, Berlin / Boston, De Gruyter, 2013, p.. et le logos auquel les hommes devraient accorder
Les exorcismes ne sont pas publics, les sœurs noires elles-mêmes sont tenues le plus possible à l’écart, et c’est chaque fois Jeanne qui force les choses pour que, finalement,
Toute- fois, d’autres marqueurs des cellules POMC tels que NeuroD1 n’ont pas été induits dans cette expérience, ce qui indique que Tpit suffit in vivo pour provoquer la