Level Set Diagrams of Polyhedral Objects
Texte intégral
(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. Level Set Diagrams of Polyhedral Objects Francis Lazarus & Anne Verroust. No 3546 ` THEME 3. ISSN 0249-6399. apport de recherche.
(3)
(4)
(5) ! "#$#% &' ()*+ , +- .0/213547698:/2;</=.0>60?#@BAC11DFEDG.H.0IJ>%6HKML NOQPHRTSVUWYX[ZG\]SH^`_5a!\]bdceZ#OQceRTRTSfgR _eahOQbdZQS5i bdR _kj5SHlHi<mQceZQZQnHSHlHiQac5ZQZo_kbpl`l]_eZoaS0l q+^]cersS\utGvVwxNXsy z:_k{o{=c5^|\:m}S^`SHahOQSH^`ahOoS~ZeUGM5W W e{o_ejeSHl %HMQee t}Oo_k{2S9m}SHl`a^`bd{}\]c5^`l_eZomSH_M\`Q^`Sfgo_el]SHm^]SH{Q^]S0l|SHZG\`_M\`bc5Zol_k^`STck{Q^`bR _k^`FbdZG\]S^`SHl|\`l db Z\]OQSF_e^]S0_cel]cedbdmRTc<mQSdbZQj=NOoS_edcMolc5^ SH_el]bdS^ ls\`ce^h_kj5Sei+^`SHacejeZob \`bc5Z_kZomjeSHZQS^h_k \`^]S0_M\`RSHZG\`l9cece}rsS0a!\`lH¢¡£}bp_kVls\`^]=a!\]o^]S0l9l|=ahO¤_el#l|¥5SdS\]c5Zol9_e^]S¦{2ce{Qod_e^#l]Oo_k{2Sm}S0l]a^]bd{}\`ce^hl OobdahO§Oo_©¨5S=SHSZ¦bpm}SdCl|\]=m}bS0mªy¦c5l|\:ck\`OQSl|\]om}bdSHl:c}aolxceZ¦_ {o_e^|\`bdaQd_e^\s<{=Sce+l|¥5SdS\]c5Z aH_kdS0mT\]OoSVyFSHm}bp_kª¡£}bpl«y¦S0m}bp_kª¡£}SHlaH_kZ92SVS£<\]^h_ea\]SHm ^]c5Rm}bdl`a^`S\`Sx¨5cedQRTS\]^`bpaxmQ_k\`__el¬¬SH _5l2ceQZomo_k^`5fgo_5l|S0m^`S{o^]S0l|SHZ5\h_M\`bc5ZolCX[Z\`OQS9p_M\]SH^aH_el]Sei%OQcM¬SH¨eSH^Hi,ZQc_kdjec5^]b\]OoR®bpl¥<ZQcMZ\]c {2S^]ce^`R
(6) Sd)_kZomC_eaHaQ^h_M\`Sde¯SV{Q^`ce{2c5l]SV_ZoS¤{=_k^h_em}bdjeR°c5^:aceZ=ls\`^]oa\]bdZQjceZQSm}bdRTSZol]bc5Zo_k _k£}bd_e%l|\]^`oa!\`Q^`SHl_el`l|c}abp_M\`SHm¦b\]O±_{2ced<OQSHmQ^`_e,c5}rsSHa\HNOQS0l|Sls\`^]oa\]Q^`SHlHiªa_edSHmF\]OQSSH¨eSHl]S\ mQbd_eje^h_kR li0_k^`S²_el`l]c<abd_k\]S0mub\]Ol]aH_kp_k^JQZoa\]bdceZol%m}S³oZQSHmcM¨eS^J\`OQS¬l]S\%ck}¨eSH^|\`bdaSHlªceo_{2cedGOoSHm}^`ceZ) ¯±Sl|\]omQbdZ´m}S\h_kbddlV\`OQS9dS¨5S²l]S\mQbd_eje^h_kR®_5l]l]c}abp_M\]S0mb\]O\`OQSl]OQce^]\]S0ls\{o_k\]O´m}bpl|\`_kZ=aST\]cF_ l]ceo^`aS+{=c5bZG\0%NOQbpl,{o_k^]\]bpaQp_k^%_el`l|c}abd_k\]bdceZV³Q\hl,ZobdaSdbdZG\]c_:\`OQSc5^]S\]bpa_ke^`_eRTS
(7) ce^`¥_eZom{Q^`SHl]SZG\`l bdZG\]SH^]S0ls\`bZQjT{Q^`ce{2S^]\]bdSHl¬c5^\]OQS{Qo^]{2c5l]SVck«l|Oo_e{=Sm}S0l]a^]bd{}\`bc5Z) µ¦¶G·J¸`¹º M»%e l]¥eSHS\]c5Z)iQa<dbZomQ^]bpa_e)m}SHaceRT{=cGl|b\]bdceZ¼i}½+QdS^:¾Qc5^]RQp_QiQ¿ub rs¥}l|\]^h_QÀ l_kdjece^`b\]OQR ÁpªÃ]ÄgÅHÆÃÇ%ÈdÄgÉ7ÊË Ðªäsé©Ì²ÿ ä[ÍgöeÎ êMÏ+óMÎ Ð%è÷çhÎ ø©Ñ¬õsÎ äÒÎ2Î ãùÓÕçhÔeú|Î çhÍgè÷Î Ð%â©ôgÎMû%Ödײô7üåÎ õ!ϫΠâ©Î جø©ü ÎMæÐÓýìkÎ Ù+á!ü í÷Î Ï+üåä|Î èÕÔkô]Î0Î þÚ!è Û!ÜݼÔ0Þ=ß!ÒVͪàJá!â©ãåä[æ!çhèÕéÚ0êMë}äsãåäsìká!èÕí%ß0êMà%Î Þ}ÎGî]ïhðñ!Ü!ð!Ü!òóMâHí7â©èÕá!ô7õsá!ìkä Ø%ø©ø©ä!Î =äsè÷èÕá!â©ô÷ígû%üåø©èÕüùç0Î þdè. 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.
(8) °$#C¼: 'C$C# $s' ()
(9) % ! $
(10) C À n\]=m}SFm}SHl mQSHl`a^`b{}\`SQ^hlTm}S§ce^`RTS§S\m}S0l a_k^h_ea\]nH^]bpls\`bGQS0lj5nc5Rn\]^`bGQS0lTm}SHl c5}rsS\hl\]^`bdmQbRTSZ=l|bdceZQZoSplS0ls\9oZQS¦aceRT{2c5l`_kZG\]S§m} m}c5RT_ebZoSCm}S¦p_±RTc<mQndbdl`_M\`bc5ZjenHceRTn\`^]b GQSe S0l#mQSHl`a^`b{}\`SQ^hl9{2S^`RTS\]\]SZG\§QZ l|\]c}ah¥M_kj5S_kbpl]nFS\CÕ_eabdb \`SZG\§S\]^h_kb\]SRTSHZ5\CS\§d_^]S0ac5ZQZo_kbpl|f l`_kZ=aSm}S0lce}rsS\`lH SHlls\`^]oa\]Q^`SHl_M£}bp_kdSHl\]SddSHl 5oS#dSHll GQSHS\|\`SHll|c5Z5\Tm}SHlm}S0l]a^]bd{}\]SHQ^hlm}S c5^]RTSVac5Q^`_eRTRSHZG\
(11) n\]om}bdnHlH _{QdQ{o_k^]\:m}SHl
(12) n\]om}S0ll|SaceZoaSZG\]^`SZG\
(13) l]Q^QZ#\s<{=SV{o_e^|\`bdaQbdS^m}S l GQSdS\]\]ST_k{Q{2SdnT_M£}SRTnHmQbd_eZ) S0lV_M£}SHluRTnHm}bp_kZolu{2SQ¨5SZG \ \]^`SS£<\]^h_kb\`l 9{o_e^|\`b^m}S0lVm}ceZQZonSHl ¨5cedQRTn\`^]b GQSHlmQbdl`a^`P\`SHl_eol`l|b¬QbSH! Z GQSm}S0l^`S{o^]n0l|SHZ5\h_M\`bc5ZolV{o_k^^]c5ZG\]bdP^`Sm}SHlce}rsS\`lH¿_kZol aSm}SH^]ZQbdS^a_5liJaSH{=SHZomQ_kZG\0i=bd,Z¼À S£<bpl|\]S{o_5lu_5a!\`QSdSHRTSZG\umªÀ _kdjec5^]b\]OQRTSS£Q_ea!\uS\u#S "9a_eaSe:wxceol {o^]c5{=cGl|c5Zol+QZoSuZQc5Q¨eSHdSxZock\]bdceZCm}SVls\`^]oa\]Q^`SHl
(14) _M£}bp_kdSHl²QZQbpm}bRTSHZol|bdceZoZQSdS0l_el`l|c}abdnS0$l QZc5}rsS\ {2ceden0m}^`b GQS5 S0lls\`^]=a!\]o^]S0liQ_e{Q{=SHnHSHlm}bp_kj5^`_eRTRS0lm}SHlSHZol]SRoS0lm}SZQbd¨eSH_e}£ªiQl|c5ZG\_5l]l]c}abdnS0l _e}£c5Zoa!\`bc5Zoll`a_ed_eb^`SHlVm}n³oZQbdSHll]Q^7À SHZol]SRoSmQSHll]ceRTRTS\hlmªÀ QZ{=c55PHm}^`Se#w:ce=ln\`om}bdceZol SHZmQn\`_ebplTdSHl m}bp_kj5^`_eRRTS0lmQSHlTSZ=l|SHRQdSHl m}S§ZQbd¨eS0_k}£_5l]l]c}abdnH l ±d_m}bpl|\`_kZ=aS¦m}S§{Qdol9ac5Q^]\ ahOoSRTb% Z FQZ{=c5bZG\Tl|c5Q^`aSe§w:c5olm}n0a^`b¨5ceZolS0l{Q^`ce{Q^`bdn\]n0l{Q^`ce{Q^`SHl aSHlm}bp_kje^h_kRTRTSHlVS\SHZ mQnHm}Qbpl]ceZoloZF_kdjece^`b\]OQRTSV
(15) S "9a_5aSm}SaceZol|\]^`oa\]bdceZ)
(16) w:ce=l:{Q^`nHl]SZG\]c5Zol
(17) ³oZo_eSHRTSZG\xm}SHlx^]n0l|o \h_M\`l mQSVaceZol|\]^`oa\]bdceZ§l|Q^:mQSHlc5}rsS\hl
(18) \]^`bdm}bdRTSZol]bdceZQZQSHdlmQSuc5^]RTS0lm}b¨5S^hl|S0l & º 0 ¸ ( ' l 5oSdS\|\`Sei<m}nHaceRT{2c5l]b \`bc5ZTa<bdZom}^`b GQS5ikc5^]RQSumªÀ ½²QSH^Hi<_kdjec5^]b\]OoRS:mQSx¿xb rs¥}ls\`^`_.
(19)
(20) !#"$&%('*)+-, .. U. ¼ $C*² , ¯±S{Q^`SHl]SZG\x_TZQSH {o_e^`_5m}bdjeRc5^:aceZ=ls\`^]oa\]bdZQj ceZoSVmQbRTSZ=l|bdceZo_e¼_M£}bp_k)l|\]^`oa!\`Q^`SHlHi}\]OQSdS¨5S¼l]S\ mQbd_eje^h_kR 2l 1 t}¿ulce^l|OQc5^|4\ 3!i_el`l|c}abd_k\]SHm±b\]O_§{2ced<OQSHmQ^`_e+ce}rsS0a!\0FNOQSHl]S9m}bp_kje^h_kR laH_k{}\`Q^`S \`OQScM¨eS^h_kd¼l]Oo_k{2S_5lx
(21) Sd_elx\]OQS\]c5{=c5c5jeCck¬_eZFce}rsS0a!\0NOQSHFa_eZF=Sol]SHm§c5^mQSce^`RTbZojce^ _eZQbdRT_k\]bdZQj _kZCce}rsS0a!\0 NOQbplac5Zol|\]^`oa!\`bc5Z9bdl^h_emQbdaH_kd m}6b 52SH^]SHZG\¬^`ceR\`OQSap_el`l|bpa_e2yFSHm}bp_kª¡£}bp8l 7 :9;< OQbdahOCm}c<SHl Zock\«ZQSHaSHl`l]_e^]bdd{Q^]c}m}=aSHl«_c5ZQS:m}bdRSHZol]bc5Zo_kQl|\]^`oa!\`Q^`Se,¾oce^`R _kd5iM\]OQS:yFSHm}bp_kQ¡:£<bpl«bpl%\]OQS:l]S\+ce \`OQSaSZG\]SH^`lxck«R _M£}bR _e,l]{QOQS^`SHlxaceZG\h_kbdZQSHmCbdZ_ jebd¨eSHZ§ce}rsS0a!\H:¡xj5ce^`b \`OQR l\]O=_M\aceZol|\]^`oa\:\]OQS yFSHm}bp_k¡£}bpluce²_9{2ced<OQSHm}^h_kl]Q^|Õ_5aS_e^]SjeSHZQS^h_kd§ac5RT{QS£ªNOQSH¦ls\h_k^]\ub\]O_5mQm}bdZQj{2cebdZG\`l c5Z \]OoSxceQrsSHa!\
(22) =c5QZomQ_e^] _eZom9ac5RT{Q}\]bdZQj\]OQSHb^¿xSHd_eQZo_©\]^`bd_eZQjeod_k\]bdce=Z 7?>u8v @¿ ;BAC< D >SZQSH^`_edei \`OQS^`SHl]Q\]bdZQj#yFSHm}bp_k¡£}bplxZQSHSHmQlx\]c#=S{Q^`QZQSHm_elub \RT_©§ac5ZG\`_kbdZoluZ<QRTS^`ceolul|R _kd¼o^`_eZoahOQSHl 7 ¡xy ;FE#< ´¡:pl|c=i«\]OoS§yFSHm}bp_k¡£}bplaH_kZ=S§ac5R{2c5l]SHmckx{obS0aSHlckaQ^`¨eS0l_5l
(23) Sd_el{QbS0aS0lce l]Q^]Õ_eaSHlHH G
(24) Fac5Zols\`^]=a!\]bdceZ¼i=OQcM
(25) S¨5S^0i t}¿ulV_e^]Sl]bdR{oSceZQSm}bdRSHZol]bc5Zo_k%je^h_k{QO=lNOQS¦^`Sp_M\`S \`c9\`OQSdS¨5Sl|S\`luck²l`a_kp_k^:QZoa!\`bc5Zolm}S³oZoSHmFcM¨5S^\`OQS¨eS^]\]bpaS0lck
(26) _ {=c5<OQS0m}^h_k,l]Q^]Õ_eaSeuyFce^`S {o^]S0abpl|SH5iM\]OQS{2cebdZG\`l«ceJ_eZ t}¿ace^`^]S0l|{2ceZom\]*c I]_©¨eSH^`_ejeS²{2cebdZG\`Kl J_5l]l]c}abp_M\]S0mb\]O\`OQS:ac5ZQZQSHa\]S0m aceRT{2ceZQSHZ5\hl:ce%\`OQSdS¨5S%l|S\`luck+_ jebd¨eSHZFl]aH_kp_k^oZoa!\`bc5Z)x¾%bj5Q^`S A l]OQcM:lx_eZ t}¿ ck+_ \`OQ^`SSf ³=ZQjeSH^]S0m#l]Oo_k{2Se /. 0. ¾%bdjeQ^`S ALNMPORQ STVUXWZY\[^]_[!`!OFa&bcY#dfee#ORY#Wgha&i-j`!b
(27) ]a-klOma4]8WnHjKomapi&a&OjKa-qKb:Y#dZjKomapi&Y\OmOFa&i-jKa&]_i&Y\rRsZY#OFa&OjKb Y#dtjKoma([!a&u\a&[Bbva-jKbwUxjKoF`!O[!`^Oma&bc
(28) Y#dteHy#`!ua&Ozdx{FOmi-jK`!Y\O$|:}NoFaw]me#bvoma4]WZY#[^][!`!OFa&bp`!OF]m`!i4ejKag~Y\`!OjKbpWZa-j.Na&a&OQ ST Wmqe#Omioma&b&|. t<OobZo_ej5_©_S\u_e÷_ 7åZt @R@ ;BA i2NX|Bt ; < Oo_©¨5SbdZG\]^`c}m}oaS0m¦_ l|bdRTbp_k^m}bp_kje^h_kR bZ§\`OQSaceZG\]S£G\:ce TR S0m}bdaH_k)_eZomj5Sc5je^h_k{QOQbpa_e2_e{Q{QdbdaH_M\`bc5Zol«NOQSHa_eJ\`OQSbd^xm}bp_kj5^`_eR \]OQSH-\)&B"bdZ§^]SS^`SZoaS \`c¦_Cad_5l]l]bpa_k%\`ce{2cedcejebpa_eje^h_k{QO±_el`l|c}abp_M\`SHmb \`O±dS¨5S«l]S\`lck
(29) _§y¦c5^`l]SQZoa!\`bc5Ztki%i,m}S³oZQS0m Ø´ÒVá!èÕô7ä
(30) þâ©ø©õ[í÷üåá!øGê<á!øç:ô7â©èþpçhõsä!ê}üåô+çXí ¼üåõ|ä
(31) é©ü eä|èÕäsøí÷üù&ç ©ãåäþâ©ø©õ[í÷üåá! ø :©á!ô÷ä ,äsô7ô÷üùçhøÓ¼.í ©ä çhõs4á ©üùçhøáhþJhí 0ä è7çhé©üåäsøí%üåøuç
(32) ô÷â©ü íg&ç 0ãåä«õ|áá!èÕé©üåøMç`í÷ä¬ô 0ôÕí7Kä fÓ Mçhô,ç
(33) ø©á!ø0Ópú|äsèÕáé©ä[í7äsè üåøMçhøí%ä[æäsè :©äsè÷ä²ü í÷ô è÷çhé©üåäsøí¼æ!çhø0üåhô ©äsô]Î. Ï,Ï øpHÚ!Û&Ü.
(34) . t, xH:#l
(35) t f4l&. c5Z_l]RTc<ck\]OFl]Q^]Õ_eaS 7 y¦bpeUQiu_k^ ;FE#< NOoS¨eSH^|\`bdaSHlxck«\]OoSzSHSFj5^`_e{QOFac5^]^`SHl]{2ceZomC\`c#a^`b\]bpa_k {2cebdZG\`lce,\`OQSVQZoa\]bdceZ %i<\]Oo_k\:bdl{2cebdZG\`lOoS^`Su\`OQSje^h_emQbSHZ5\ckD¦bplZ<Qd÷ t<OobZo_ej5_©_S\:_e÷«_k^`SxR _ebZQd bdZ5\`S^`SHl|\]S0m bZCSZ=ac}m}bdZQj\`OQSu\]ce{2cedcej5bdaH_kJls\`^]=a!\]o^]Suck,_\]SH^]^h_kbdZ OobdS\]OQS tQ¿~bdl_jeSHceRTS\`^]bpa_e2l]¥eSHS\]c5Z9\]O=_M\xm}S0l]a^]bd=S0l
(36) =ce\]O#\]OQSV\`ce{2cedceje _eZom9\`OQSVjeSHceRTS\`^] ce%_eZCc5}rsSHa\H t}¿ulxm}S{2SZomCc5Z\`OQSV{o_k^]\]bpaQp_k^
(37) QZ=a!\]bdceZ¦ahOQcGl|SHZ9\`cTaceRT{Q}\`SV\]OQSVdS¨5S)l]S\`lH²t<OQbdZo_ej5_©_S\ _e÷ol]Su\]OQSVOQSHbj5O5\
(38) QZoa\]bdceZ 1ý\`OQS f[ac<ce^hm}bdZo_M\`\S 3!iG^`Sp_M\]bd¨eSH\`c_jebd¨eSHZ9ce^`bSHZG\`_M\`bc5Z9ck,\]OQSceQrsSHa!\ \`c¦m}S³oZoST\]OQSHb^m}bp_kj5^`_eR§NOQbplbplV{o_k^]\]bpaod_e^]d¦RTSH_kZobZQjeQce^V\`S^`^`_ebZmQ_k\`_C_ela^`b\]bpa_k«{2cebdZG\`l ace^`^]S0l|{2ceZ=m¦\]c¦{2SH_e¥}li,{Qb \hlce^{=_el`l|S0lVck
(39) \]OQS \`S^`^`_ebZ¼ ¯S9l]OQcM¢\`Oo_M\bZceo^a_el]S\]OQS "$4 v44. $ " % x4 vt,& v Z,&B $ %bdlxcký\]SHZ_92S\]\]SH^ahOQc5bdaSckQZ=a!\]bdceZSHl]{=S0abp_kd#ce^m}SHl`a^`bdQbZoj \`OQSjeSHceRTS\`^] ce¼\`QQQp_k^x_eZom#Q^`_eZoahOQbdZQjce}rsS0a!\`lH t<S0a!\`bc5ZC{Q^]S0l|SHZG\`ll]ceRTS o_el]bpa m}S³oZob \`bc5Zol_kZ=m{o^]c5{=SH^|\`bS0lck
(40) \]OQSSH¨eS¬l|S\`lce_CQZ=a!\]bdceZ mQS³oZQS0m ceZ_\`^]bp_kZojeQp_M\`SHm{=c5<OQS0m}^`ceZ) X[Z¤t<S0a!\]bdceZUoi¬Sm}SHl`a^`b2S¦\`OQSFS¨5ced}\]bdceZ ce_\]OQS dS¨5Sfgl]S\hl_5l\]OQS¦dS¨5Sbdl¨M_k^`bdSHmªNOQbdl mQSHl`a^`b{}\`bc5Zbplo_el]SHmQ{2ceZ\]OQS§ZQce\]bdceZceubdZom}S£cku_ ¨5S^]\]S£J«t<S0a!\]bdceZCTls\`om}bdSHl
(41) \]OoSdS¨5Sªl]S\`l
(42) ce¼\]OoSVl]OQc5^|\`SHl|\
(43) {o_k\]O§m}bpls\h_kZoaSx\`cT_l]ceQ^haSu{=c5bZG\H+NOobdl l|\]=m}9bpl¬=l|S0mbdZ§t}SHa!\`bc5ZC\]cTm}S³oZQSV
(44) S "9abdSZG\:_kdjec5^]b\]OoRTl²\]O=_M\:ac5Zols\`^]=a!\
(45) \]OQS tQ¿QzS0l|o \hl_k^`S aceRTRTSZG\]S0mbdZFt<SHa\]bdceZ§Q+¾%bdZo_kd5iQ
(46) SVmQbdl`aol`l
(47) }\`Q^]S
(48) ce^`¥}l_kZomCac5Zoadom}SVbdZ¦t}SHa!\`bc5Z E ±
(49) ,C*² ,C NOobdl:l]SHa\]bdceZC{Q^`cM¨Gbpm}S0ll|c5RSmQS³oZQb\]bdceZ=l:_kZomCZQce\`_k\]bdceZ#\]Oo_k\u_k^`SVbRT{2ce^]\`_kZG\\]cT\`OQSaceZol|\]^`oa!\`bc5Z _eZomV{Q^`ce{2S^]\]bdSHlªce}\]OQS t}¿0X[ZV\]OQS²cedcMbdZQjoi0
(50) S+ceZQdVaceZ=l|bpm}S^ t}¿l¼ce<\]^`bd_eZQjeQp_M\`SHmV{2ced<OQSHm}^h_Q ¾oce^,_:jebd¨eSZ\`^]bp_kZQj5Qp_M\]S0m{=c5<OQS0m}^]c5Z)i 9i0
(51) S²aceZol]bdmQS^¼_oZoa!\`bc5Z)i %i©mQS³oZQS0mVcM¨eSH^)b \hl)¨5S^]\]bpaSHl ! l|cT\`Oo_M\u\s¬c9_5m©r|_eaSZG\x¨5S^]\]bpaSHlx_k^`Sjebd¨eSHZ#\s
(52) cm}6b 5JS^`SZG\x¨M_kdQSHlH:¡a!\`o_kddei=_5l:ZQce\]bpaS0m bdZ 7 NX|t ; < i}_kd=\]Oo_k\¬bpl²^`S GQbd^]S0mTbdl²\]c\]SdJOQbpahO9ck¼_eZG\s
(53) c_em©r|_5aSHZ5\¬¨eS^]\]bpaS0l+j5S\`l²\]OoSul]RT_edS^ ¨M_eQS5VX[Z{Q^h_ea\]bpaSeiJ
(54) SaH_kZc5^`mQS^u_e^]ob \`^`_e^]bd#\]OoS¨5S^]\]bpaSHluOo_©¨<bdZQj \]OoSTl`_kRTS¨©_eoSl]c\`Oo_M\\]OQS _e=cM¨5Su^`S GQbd^`SRTSZG\:a_eZ#2S_kdSH¨<bd_k\]SHm) "C$ ¶ #&%&' 'Õº %)(* -%#m,+ - ./10 x_C % v )& a^]cGl]l|f7S0m}jeS 6 . XC^ ~ 26C32w . &+ . - 054. 2 4. &+ . / 0. t X X64!16Cm,&7 + -. /.890 x2 % v )& #a^`c5l`l|f÷Õ_5aS=6 h XC! ~ CC:2R 2 "B "l& ;$4Kz X _4 h ,-C< ,&B- 2=6p X"$ x &+ . - 054 2 4 &+ / 0>4 &+ 8 0@?1A &+ - 054 &+ / 054 2 4 &+ 8 0B. zSHR _k^`¥ \]Oo_k\x_Ta^`c5l`lsf7Õ_eaSxOo_5lS£Q_ea\]d \s¬c a^]cGl]l|f7S0m}jeS0l "C¶$#&%&' 'Õ º %*CED "$m}o_k=je^h_k{QO KF x X"$w&B"HG"$84 h ,-C88 X"$
(55) C,&4RKI &%#mC,-4C.$ % vH$ X&R t, %$ C,&C<J. %,G"$. ÍÙ%Ï)ÍýØ.
(56) .
(57) !#"$&%('*)+-, .. +. +. − +. −. +. + −. +. ¾%bdjeQ^`S L*M jvqK`^e#Omy\{m[6eCjK`!Y\O D`?jKo `?jKbwi-qKY#bvb he#]g~e#i&a&Omi-n y#qesFo UXWZY\[^]2[!`^Oma&bcPd Y#q*ezy\`!ua&O [!a&ua-[.|:a-qvjK`!i&a&b D`!jKo u\e[^{ma&bpy#qKa&ejKa-qHUXbvrze#[![!a-qc
(58) jKoleOeqKarzeCqa4]RD`?jKo2e
(59) 8U e
(60) hc| NOQS{Q^`SHaS0m}bdZQj^]SHR _k^`¥l]OQcM:lT\]O=_M\C_a^`c5l`lsf7Õ_eaS 1Õ^]SHd_k\]bd¨eSH\]c_dS¨5S23Tbpl_5m©r|_eaSZG\9\]c S£Q_ea!\`9\s¬cTa^`c5l`lsf7Õ_eaSHl
(61) bdZ\`OQSm}o_e)je^h_k{QO 1Õl]SS¾%bdjeQ^`S3!Xg\c5dcM:l
(62) \]Oo_k\ º ²¶ © · ( :8$ 6C 2=6N% x& h t, $& X"$8 $Cw&+ 0B &+ !
(63) 0 6N X"$HC P8,& !C,&C . . ,&B4 . X Z v4R C Kz% xX+ $ *,,C 4z X"$%$f-$". . J. NOobdlu{Q^`ce{2S^]\s#bpl:\`c2SaceRT{o_e^]S0m§b \`O¦\]OQSÕ_ea\x\`Oo_M\V_9dS¨eSH%l]S\ck²_#y¦ce^hl|SQZoa!\`bc5Zm}S³oZQS0m c5Z_Cadc5l]SHmFl]RTc<ck\]O±l|o^|Õ_5aSbplVac5R{2c5l]SHmck¬mQbdlÕrscebdZG\VacGl|S0mao^]¨5SHlHi2b²\`Oo_M\VdS¨eSH«l|S\VaceZG\`_ebZol ZocTa^]b\]bpa_eª{=c5bZG\0 NOQS0l|S a<aS0lVcka^`c5l`lsf7Õ_eaSHlm}S³=ZQS9adc5l]SHm{=c5<jec5Zo_k+aceZG\]c5Q^hlxc5Z\`OQS {2cedGOoSHm}^`ceZ 99¾Qce^ \`OQbpliQ
(64) S_el`l|c}abd_k\]Sb \`OCS0_eahO§a^`c5l`lsfgSHmQje,S + -. /10 \]OQS{2cebdZG\ . Xg. + - . / 8 0. - / + 2 0. 2 &+ - 0 - &+ -=0. &+ &+ /10. &+ /10. bpl_ a^`c5l`lsf7Õ_eaSeiG¬Sa_eZCmQ^`_©¤\]OQSdbZoS. . / 0 . . 2. &+ - 0. - / + 2 0 -8 + 2 0. / . _el
(65) ceZ¦¾%bdjeQ^`SUQ. vi pij(l). ¾,bdjeo^]SU LDSa&y#rRa&Oj. vj. pik(l) vk. N`!bDjKomawy\a-Y\rRa-jvqK`!iwqKa4e[^`*4eCjK`!Y\O Y#d jKomawi-qKY#bvbdxe#i&a+%,-).,/"0.), ' c |. ! "#%$& (' %$)$. C¶. Õº. :^]S0_kdb 0_M\`bc5Z. " $#&%&' ' %21 D "$*m& .4 , &%2)C %Gp l2 "BR^ tC + @- / + 2 0%@-8 + 2 .0 0 _ X"$z CC:C wKR6C32.J. Ï,Ï øpHÚ!Û&Ü. K_ 6 C p x_ "BHC KDB!mt,&$ vZ&_) ~ % C42,-!Cm,-CJ43 Gp XX t v65F+ 2 0 "BR--! \ h .
(66) . t, xH:#l
(67) t f4l&. NOQS0l|S{2ced<jec5Zo_kªac5ZG\]ceo^`l_k^`SZQck\:ZQS0aS0l]l`_k^`bdT{Qp_kZo_e^H«NOQSHbdª2SVQ^]\]OQSH^(I|_©¨5S^h_kj5SHmFJ:bdZ c5^`mQS^
(68) \]c ac5Zol|\]^`oa!\\]OoS t}¿ Xg 2 2 C_k^`S9\s
(69) cdS¨5Spli+l]oahO\`Oo_M\TZQc±¨eSH^|\`S£ ¨eS^`b³oSHl 2 &+ 2 ki«\`OQSZ\]OQS#\s
(70) c ace^`^]S0l|{2 ceZ=4 m}bZojdS¨eSHxl]S\`l _e^]SC\`^`_©¨5S^hl|S0m<´\]OoSFl]_eR S¦a^]cGl]l|f÷Õ_5aS0lXg\ ce0 dcM:l\`Oo_M\ F+ 2 0 a_eZ 2S¦m}Sc5^]RTS0mac5ZG\]bdZGoceol]bdZG\]c :+ 2 0 _kZ=m´¨<bdaS#¨5S^hl]_oX[Zce\]OQSH^
(71) ce^hmQlHi F+ 2 0 _eZom F+ 2 0 _k^`S "$2 v- ,¬X[ZC{=_k^]\]bpaQp_k^0iG\]OQSHOo_©¨5Sx\`OQSl]_eRTSZ<QR=SH^ck«ac5Z5\`ceQ^hlH NOQbplu^]S0l|Q\xbd%2Sl|\]^`SZQje\]OQSHZ¦bZ§\`OQSZQS£<\l]SHa!\`bc5Z):¡xlu
(72) Sbdl|SHSeiQ\`OQSaceZG\]c5Q^hl:_k^`Sl|\]bd OoceRTck\`ce{QbpaOQSZ#\]OQSdS¨5S 2,{o_5l]l]SHl
(73) \`OQ^]c5QjeO§_¨M_kdQzS &+ 0 io_5lc5ZQj _el bpl_ ~Z6¬¨5S^]\]S£J . . . . 5. 5. 5. 5. , , 0 C$# C$ #E« C NOoS t}¿ SZ=ac}m}SHl+\]OQSul|S\¬ck)aceZG\]c5Q^`l F+ 2 0 _5l52JSH¨eced¨eS0l
(74) G
(75) ^`_eZoahOQbdZQjVckª\]OoS t}¿ a_eZ ceZQdc<aHaQ^ OoSZ F+ 2 0 ahOo_eZQjeS0lckOQceRTce\]ce{<T\s<{2Se+Xg\:bpl\]O<ol:bRT{2ce^]\`_kZG\\`c¥<ZQcM¤ce^:OobdahO§¨M_kdQSVckI2,\]OQS \`ce{2cedcej5ck«\`OQS{=c5<jec5Zo_k,aceZG\`ceQ^hl F+ 2 0 bplxRTc}m}b³oSHmª¡xlu¬S:rsols\l`_©io\`OQbdla_eZ¦ceZQd§Oo_k{o{=SHZ OoSZ 2%S Go_kpl &+ 0 ce^:l]ceRTSV¨eSH^|\`S£ ce¼\`OQS{=c5<OQS0m}^`ceHZ 9 X[Z´c5^`mQS^\`cm}S0l]a^]bd2S \]OQS#\]c5{=c5c5jebpa_e²ahOo_kZojeS_k\_F¨5S^]\]S£ ¬S9bdZG\]^`c}m}oaS\]OQS t%m #ckx_ ¨5S^]\]S£ S\ 8 2S\]OQS FZQSbdjeO<2ce^hlxce SZ<QRTSH^` _k\]SHmac5QZG\]S^hadc}ah¥<bdl]S_k^`ceoZom + i)bZ\]OQS ¡xlVN%_k¥M_kOo_5l|Oob,S\V_e÷ 7 NX|t ; < iª
(76) Sac5Zol]bdm}SH^:\`OQSTZGoR2S^ck¬l]bj5ZahOo_eZQjeS0li l]S GQSHZoaS +~&+ 0 &+ 0B &+ 0 &+ 0B &+ 80 &+ 0 &+ 0 &+ 0.0 FNOQS bdZom}S £0 ck bdl mQS³oZQS0m§_el + . . . 5. 45. 5.
(77) . . . . . . . . . . + 0. . ¾%bdjeQ^`STFl|OocM:l_§¨eS^]\]S£b\]ObdZom}S£ . . . . 0. . . . !. #NOQbdlbZomQS£±\]SdplOQcM ´ bplahOo_eZQjebdZQj¦_k^`ceQZ=m #Xg\ −. +. +. +. v −. −. ¾%bdjeQ^`S. LHM )
(78) zU e
(79) hcp`!Ol]m`!i4eCjKa&b*e , OFa&`!y#oWZYq#"%$&"$bv{Fio jKolej '($ $P`^byqKa4ejKaqzUXbvrze#[![!a-qcPjKoleO)'%,#$| }NoFaO{FrHWZa-qNYd bv`^y#O i ole#Omy\a&b+*-,/.#0#%,#$pi-Y\{FOjKbNjKomawO{Fr8WZaqpY#d
(80) e#OF]+
(81) Pbva#1{ma&OFi&a-b&|. _5a!\`o_kdV^`SHace^hmQlª{o_e^|\%ckQ\`OQS²\`ce{2cedcej5uce b \hl|SH sNG
(82) l|QRTRTbdZQjx\`OQS
(83) bZomQbdaSHl,cM¨eS^%_kde\`OQS
(84) ¨eS^]\]bpaS0li
(85) SVjeS\
(86) \`OQS¨eSH^]ZQbdaSce^`RQp_ º ²¶ © · C . . 2. @+ 0. . 87. + 0. 354/6. ÍÙ%Ï)ÍýØ.
(87) E.
(88) !#"$&%('*)+-, . G"$C-. x= "B> Z6 ,&"B-, ~4 x4 . , t % 6 t% 7 + 0 -4h$-, h X! "B@Z2)-zKR4 . ,&C 6(&%#mC %*C,&CK>HJ º)º L + 0 ac5QZG\`l\]OQS§Z<QR=SH^ce:\]^`bp_kZQj5S0l7+ -
(89) / 0 bdZoabpm}SHZ5\T\`c l]oahO´\`Oo_M\ &+ 0 bdl 2S\s
(90) SSHZ & + _eZom &+ ut<bdZoaSS¨5S^`9\]^`bp_kZQj5SO=_el:S£Q_ea!\`CceZoS¨eSH^|\`S£c5^xOQbpahO¦\`OQbdluc}aaQ^`l \`OQSl]QRck% \]-Oo0 S + 0 / 0 c5^:_kdJ\]OQS¨5S^]\]bpaSHlaceQZG\`l
(91) \`OQSV\]ce\`_eªZGoR2S^:ce¼\]^`bp_kZQj5S0l L 2. l]c\]Oo_k\. + 0. . . . 354/6. 2. + 0. . ¡ul bdlV_\]^`bd_eZQjeod_k\]bdceZ)iJ
(92) SOo_©¨5S \`Oo_M\ 354/6. /. 2. @+ 0. . . ! . . . !. . . ce^VSGQbd¨M_kdSZG\]d. . . . . . . . . 7. . . +. . ! . . . 0. Xg\VcedcM:l. + 0
(93) . 354/6. NOQSl]_eRTSce^`RQp_ a_eZ¦=SceQZ=m§bZ 7 :SHZ E;< bdZF_9l]bdjeOG\]d§m}b^5JS^`SZG\VaceZG\`S£<\HN%_k¥M_kOo_5l|Oob¼S\ _e÷7 NX|t ; < bdR{obpab\]d§^]SS^u\]c#_#l|bdRTbp_k^xce^`RQp_ QQ\u\`OQS¦c5ZQ§ac5Zol]bdm}SH^x¨5S^]\]bpaSHl:ce^OQbpahO + S Go_edl Vce^«o%X[ZTÕ_ea\HiGN,_e¥©_eOo_el]OQbQS\²_k7«m}b^`SHa\]d^`SSH^\]cy¦c5^`l]S
(94) \]OQSHce^`e,X[ZT\]OQbpl«\`OQSc5^] _a^`b\]bpa_k0 }{2cebdZG\«RT_©c5ZQdjeS\%\`OQ^`SSm}^b 5JS^`SZG\+bdZom}S£¨M_kdQSHlHi©\s¬cVce=OQbpahOace^`^]S0l|{2ceZ=m}bZoj:\]cVdc}a_k S£<\]^`SR _Q¡¤RTc5^]SuCS 5JSHa!\`b¨5S_eZo_kdcej5bpl
(95) {Q^]cM¨<bpm}SHm9b \`O9\]OoSuZQce\]bdceZ9ceP t%m KR2,4 X . ,&ZB $ ( 8% <f p&, ~(6%k¡¤a^`b \`bdaH_ko{2cebdZG\²ck)_V¨5SHa!\`ce^«³=SpmTbdl¬2 _ 1bpl|c5d_k\]SHfm 3{=c5bZG\²OoS^`S\]OQS:¨5SHa\]ce^ ³=Spm bdl¬Z<Qd÷ «S^`T^]c5QjeOoTl|{2SH_e¥<bZQj\]OQSbZ=m}S£ ck¼_a^`b \`bdaH_k2{=c5bZG\
(96) bdl²\]OQSZ<QR2S^¬ck¼^`S¨5ced}\]bdceZ=l R _5m}S<±\]OQS#¨eS0a!\]c5^³oSHdmOQbdS\]Q^`ZQbdZQj_e^]c5QZom±\]O=_M\T{=c5bZG\ 7 :SHZ E;< ±X[Z´c5^`m}SH^\`cl]OQcM°\]OQS _eZo_kdcej5b\]OCceo^
(97) Zock\]bdceZ#ck%bZomQS£9
(98) Su³=^`l|\
(99) c5^]bdSZG\¬\]OQSVSHmQjeSHl_5aac5^`mQbZQj\]c\]OQzS =fg¨M_kdQSHl
(100) ck¼\]OQSHb^ SHZom}{2cebdZG\`lHNOQbplce^`bSHZG\`_M\`bc5ZFac5^]^`SHl]{=c5ZomQl:\]c9\`OQ2S m% $ ckw _kdceZQj \`OQSSHm}j5SHlHwxck\]S\]O=_M\_ \`^]bp_kZojedS Rol|\Oo_©¨5S \s
(101) cFSHm}j5SHlce^`bSHZ5\`SHm\]OoS#l`_kRTS9_©±_eZom_¦\`OQb^hmS0m}jeS9c5^]bdSZG\`SHm±\]OoSck\`OQS^ _©¦_elVl]OQcMZFbdZ±¾%bdjeQ^`STQNOQSZ¼i)bZ±SH_5ahO¦\]^`bp_kZQj5SckI ¬STm}^h_©¢_#aceZG\]bdZ<Qceol¨5SHa!\`ce^u³oSpmªi _5lul]¥eS\`ahOQS0m¦ceZ±¾%bj5Q^]ST}i)l]c9\`Oo_M\\]OQSTm}bd^]S0a!\`bc5Zck²\]OQS¨eS0a!\]c5^x³=SpmFceZ\]OQS\]^`bp_kZQj5S=c5QZomQ_e^] _eje^`SS0l«b \`O9\`OQSxc5^]bdSZG\`_k\]bdceZ ce)b \hl²S0m}jeS0lw:cMi5\]OQS¨eSH^|\`bdaSHl²ck _k^`S\`OQSua^]b\]bpa_e={2cebdZG\`l¬ckª\]Oobdl ¨5SHa\]ce^%³oSHdmT_eZomb\²a_eZ2S:l]OQcMZ\`Oo_M\\`OQSbd^+bdZom}S£ªik^`Sp_M\`b¨5SdV\]cV\`OQS¨eS0a!\]c5^%³oSpmªi5acebdZoabpm}S0l,b\]O c5Q^ZQce\]bdceZckbdZom}S£ªCNOQS_k2cM¨eST½+oSH^ce^`Rod_#\]O<olace^`^`SHl]{=c5ZomQl\]cF_¦ad_5l]l]bpa_k+l]QRTR _M\`bc5Z c5^]RQp_cM¨5S^
(102) \]OQSbdZom}S£#ce¼\]OoSa^`b \`bdaH_kª{2cebdZ5\hlck_TaceZG\`bZ<Qc5ol¨eS0a!\]c5^
(103) ³oSpm 7 xSZ E;< NOQSbdZom}S£9ce,_¨5S^]\]S£ m}S0l]a^]bd2SHl¬OQcM \]OQSdS¨eSH2l]S\^`SH_kdb H_M\`bc5Z F+ 2 0 bdl
(104) RTc}m}b³oSHm#_k^`ceQZom i _5l
(105) \]OQSdS¨5S 2,bpl^`_ebdl]SHm^]c5R &+ 0 \]c &+ 0 0i}ce^:_Tl] "9abdSZG\]d#l]R _kd 0 Xg @+ 0 bpl)Z<Qd÷iH\]OQSHZV\]OQS ZQSbdjeO<2ce^hlª_k^`S«{o_k^]\]b\]bdceZoSHmubZG\]c:\s¬cac5ZQZQS0a!\]S0mVl|S\`l &+ :0>4 &+ 0 _kZo m &+ 0 &+ 0 _ell]OQcMZbdZC¾%bdjeQ^`Sc5Z\`OQSVSý\H F+h&+ 0 0 bplm}SHm}=aSHm^`ceR F+~&+ 0 0 <l]Qol|\]b\]Q\]bdZQj{2cebdZG\`l¬ceZ9a^`c5l`l|f7S0m}jeS0lckJ\]OQSx\s<{=S + .F0 \]c{2cebdZG\`l²ceZa^]cGl]l|f7S0m}jeS0l ce\]OQS\sG{2S +
(106) 0 :NOQSahOo_kZojeS^`SHm}oaSHl\`c_9l]¬SHS{F_eZom¦_9ahOo_ebZFl]Qol|\]b\]}\`bc5Z¦ck²a^]cGl]l|f7S0m}jeS0l l]c\]Oo_k\ F+h&+ 0 0 bpll|\]bd)OoceRTck\`ce{Qbpau\]c F+h&+ 0 0 t<SH¨eSH^`_e:ahOo_kbdZ l|Q=ls\`b \`}\]bdceZol9RT_©c}aao^9_M\ \]OoSl]_eRTS#\`bRTSFOoSZ m}6b 52SH^]SHZ5\#ZQceZ _emMr|_eaSHZG\ ¨5S^]\]bpaS0l¬j5S\\`OQSl]_eRSV¨M_kdQS &+ 0 . . 5. . . . 5. 5. . 5. Ï,Ï øpHÚ!Û&Ü. . 5. . .
(107) 9. t, xH:#l
(108) t f4l&. vk. vk vj. vi. ¾%bdjeQ^`S L. vj vi. OjKoma([!a-d6j(qK`!a&OjeCjK`^Y#OYdfjKoma a4]y\a&b
(109) Y#dejvqK`^e#Omy\[!aw`!Ol]{Fi&a4]zWn ' U'%, $ '%, " $ '%, ' $vc| O jKoma(qK`!y\oj}NoFa jeOFy#a&Ojpua&i-jKYqKbNjKY8jKoFa(Y#qK`!a&OjKa4]i&{mqKua-bp]ma-kFOFa&bDeua&i-jKYqpkla&[^]zi&Y\rRsFejK`!WF[!a D`?jKojKoFa a4]my#aY#qK`!a&OjejK`!Y\O$|. +. +. v −. −. +. +. −. +. +. +. v −. −. ¾%bdjeQ^`S L }NomaOFa&`!y\oWZYqKoFYY]2Y#d:e_uaqvjKa ,`!O jh
(110) Yz]m` Ba-qKa&OjPi&Y#Omkly#{mqeCjK`^Y#OFb&|Pe
(111) U cN`^OF]m`!i4eCjKa&bwe , OFa&`!y\oWZYq#" $ "Fbv{miojKoleCj '($6$N`!bPyqKa4ejKaq8UXbvrze[^[!a-qc
(112) jKoFe#O '%,#$|}Noma[^a-ua&[$bva-jDqKa4e#[!`*4ejK`!Y#O `!bDbvoFY4DO d Y#q(e [^a-ua&[ bv[!`!y\ojK[?n2WZa&[!Y4 '%,#$U ]Y#jvjKa4] i-{mqKuaCcDe#OF] bv[!`^y#ojK[!n2e#WZYCua '%,#$UXsF[^e`^O i&{qKuaCc|(}NoFa`!Ol]a Yd ,`!b Y\OjKoma[!a-d j(e#OF+ ] Y#O jKoFa qK`!y#oj4|. ÍÙ%Ï)ÍýØ.
(113) ;.
(114) !#"$&%('*)+-, .. C¶ Õº 4 v HGp X " 7@ZX % x8 % v )&x^]SHjeQp_k^ %a^]b\]bpa_e "BGp xJRf X 4! X"$;$R&+ 0 ,C4 X h ,&
(115) 4 v x,&X -%=a^`b\]bpa_k,¨M_kdQS$J $ X"$Cz;$ xz % ~ )&x^]SHjeQp_k^J wxck\`S¬\`Oo_M\²_u{2c5l]b \`b¨5S
(116) bdZom}S£ 1 A 3,bZomQbdaH_M\]S0l«_c}a_e}S£<\]^`SRQR§,¡ a^]b\]bpa_e}¨eS^]\]S£OQbpahObplZQck\+_eZ S£<\]^`SRoR~bdl«aH_kdS0m_ %%Z6«¨5S^]\]S£ª,¯ OQSZ\]^h_©¨eSH^`l]bZoju_a^`b \`bdaH_k}¨M_kdQS¬\]OQS\`ce{2cedcejeVceo\]OoS
(117) dS¨5S l]S\bplahOo_kZojebdZQjoTNOQSTS¨5ced}\]bdceZ±ck¬\]OQS dS¨5S+l]S\m}S{2SZ=mQlceZ\]OoS bZomQS£ce²\]OoS9ace^`^`SHl]{=c5Zom}bdZQj a^]b\]bpa_e=¨5S^]\]S£ 1÷l|SHSu¾%bj5Q^`Sum 3«NOQSu{o^]S0abpl|S\`ce{2cedcej5bdaH_k=ahO=_kZQj5SxZQce\¬ceZo m}SH{=SHZomQl
(118) ceZ \`OQSbZomQS£ o}\_kpl|c§c5Z\`OQS OQcedS ac5Z}³ojeo^`_k\]bdceZce¬\`OQS dS¨eSH+l|S\H9¾%bdjeQ^`S E l]OQcM:lu\s
(119) cC{2c5l`l]bQdS ahOo_kZojeSHl bdZ \]OoSdS¨eSHul]S\hlT\]Oo_k\Cm}SH{=SHZom c5Z \]OQSaceZ}³=jeQ^h_M\`bc5Zce :+~&+ 0 0 ¢¡xlbdu2Sl]OQcMZ bdZ " $#&%&' ' %. %. 5. −. −. +. +. +. +. +. v −. . +. v −. −. −. . ¾%bdjeQ^`S ElLz}fNY i&Y\Okly\{qejK`!Y\Omb*Y#dDe u\a-qvjKa2D`?jKo `!Ol]a \|z}NomaRO{mr8WZa-q Y#dDi&Y#OFOma&i-jKa4] i&Y\rRsZY#OFa&OjKb Y#d jKoFa*[!a&ua&[tbva-jw`!OFiqKa4e#bva&b Y\O2jKoFa*[!a-d j(DoF`![!a8`?j]a&i-qKa4ebva&bwY#O jKoFaqK`!y\ojeb(jKoFa[!a&ua&[f`!be#{my\rRa&OjKa4]d6qKY\r ZW a&[!YC '%,#$wU ]mYjvjKa4]i-{mqKuaCcjKY_e#WZYCua '%,#$wUXsF[^e`^O i&{mqKua4c| \`OQSZoS£<\Vl]SHa\]bdceZ§\`OQS\`ce{2cedcej5bdaH_k¼ahOo_eZQjeS0l:ce«\]OQSSH¨eSl]S\`la_eZ¦=STm}S0m}oaS0mFm}bd^]S0a!\`C^`ceR \]OQS ¨5S^]\]S£FbZomQbdaSHlVOQSHZ±aceZol]bdmQS^`bZQj\]OQS9l]OQc5^|\`SHl|\{o_k\]Om}bpls\h_kZoaS\`c§_§l]ceQ^haS{=c5bZG\ceZ_CjeSHZG=lsf {2ced<OQSHmQ^]c5Z). . "# "#¼ ,) V ," ) ,C*¬ , *
(120) ¤
(121) . x{F\`c9\]Oobdl{2cebdZ5\V
(122) SOo_©¨5SZQck\ac5Zol]bdm}SH^]S0m¦_kZ<¦l|{2SHab ³2a %V¡xl
(123) S_kZG\x\`OQS t}¿ \]c#^]SH{Q^]S0l|SHZG\ \`OQSceQrsSHa!\:j5Sc5RS\]^`ei<\`OQSm}S³=ZQb \`bc5Z¦ckpl]OQceodmCbdZG¨5ced¨eSu\]OQSjeSc5RTS\]^` ck&9²N%_k¥M_kO=_el]OQbªS\x_e÷ =l|S\]OoSOQSbdjeOG\QZoa\]bdceZ 7 NX|t ; < iol]c\]Oo_k\u_kZ<9¨5S^]\]S£9bdl:_5l]l]c}abp_M\`SHm#b \hlcMHZ fgac<ce^hm}bZ=_M\]SbdZ§_ l]Qb\`_eQSVac<c5^`m}bdZo_k\]SVl|}l|\]SR§X[Z#\]OQbpl:a_5l|S5iG\]OQSVdS¨eSHªl|S\`lac5^]^`SHl]{2ceZomT\`c a^`c5l`lsf[l|S0a!\`bc5Zol+2S\s
(124) SSHZ _eZo
(125) m 5fg{Qp_kZQS0l¡ulxZQce\]bpaS0mFbdZF\]OoSbdZG\]^`c<mQoa!\`bc5Z¦\]OQbplVahOQcebpaSbdlu^`SdS¨M_kZG\xc5^x\`S^`^`_ebZmQ_M\h__el \`OQS a^`b \`bdaH_k«¨5S^]\]bpaSHlVace^`^]S0l|{2ceZomF\]c§{2SH_k¥}lHi){o_5l]l]SHlce^{ob \hlVck
(126) \]OQS\]SH^]^h_kbdZ) :cM
(127) S¨5S^0iJce^ck\`OQS^ ad_5l]l]SHl
(128) ce%c5}rsSHa\`lb\:RT_©Oo_k{Q{2SZC\`Oo_M\\]OoSOQSbdjeOG\QZoa\]bdceZ¦m}c<SHlZock\:jebd¨eSV_kZ§bdZG\]Qb\]bd¨eS t}¿~bdZ _eZ<#ac<c5^`m}bdZo_k\]Sl|}l|\]SHRC¾%bj5Q^`S A U l|OocM:l:_ l|SH ýfgbdZ5\`S^hl|S0a!\`bZQj\`QQQp_k^uce}rsS0a!\`l:OQc5l]S IsZ=_M\]o^`_e! J _k£}bdlaceQpmCZQck\:2Sm}S\`S^`RTbZQS0mCb \`OF_kZ<9OQSHbj5O5\oZoa!\`bc5Z)²¡~2S\]\]S^uahOQcebpaSce^\`OQSdS¨5S)l]S\`l:bdl {o^]cM¨<bpm}SHmb \`O#\`OQSVRTcM¨GbdZQj^]c5ZG\ce%l]ceRTS ocMSHRT_eZo_M\`bZoj^`ceR _\`b{§ck,\]OQSV\`Q2Se²t<oahOC^`ceZG\`l ace^`^]S0l|{2ceZ=m \]c9\]OQSdS¨5S¼l]S\hlck\]OoSjeSc}m}S0l|bpam}bpls\h_kZoaSV\]c9_\`b{¦ce,\`OQS\]o=S5
(129) NOQSaceRT{Q}\h_M\`bc5Z ceª\]OQSujeSHc<mQSHl]bda:mQbdl|\`_eZoaSx\]c_l|c5Q^haS:{2cebdZG\¬ceZ#_{=c5<OQS0m}^`ceZ Oo_5l²2SSHZ9S£<\]SHZol]b¨5SdTl|\]=m}bS0m 1Õl]SS 7 yFy¦q 9FE#< 3!«¯±S:{Q^`SSH^+\]caceRT{QQ\]S:\`OQSxl]OQce^]\]S0ls\¬{o_M\`O9m}bdl|\`_eZoaSx^]SHd_k\]bd¨eSd\`c\`OQS:je^h_k{oO bZomQoaS0m Ï,Ï øpHÚ!Û&Ü.
(130) A. t, xH:#l
(131) t f4l&. <§\`OQSTSHm}j5SHluck¬_#{=c5<OQS0m}^`ceZ)Xg\V{Q^`cM¨<bdm}S0lu_eZ_e{Q{Q^`c©£<bdR _M\`bc5Z)iªl| "9abSHZ5\ce^Vc5Q^u{oQ^]{2c5l]Seiªce \`OQSj5Sc}m}S0l|bpam}bpl|\`_kZ=aSeuXg\xQ^]\]OoS^_kdcM:l:ol:\`cCl]bdR{ob¦_kZomF_5aaSdS^h_M\]S\]OQSaceRT{QQ\`_M\`bc5Z_kZ=m ³o\`lZQbpaSHbZG\]c _\`OQSc5^]S\]bpa_k2^h_kRTS
(132) ce^`¥J X[Z¦\`OQSc5dcMbdZQjoi=¬Sls\`om}#\]OQSSH¨eSl]S\`lxck«\`OQSl]OQce^]\]S0ls\:{=_M\]Om}bdl|\`_eZoaS\]c_9jebd¨eSZFl]ceo^`aS {2cebdZG\H¯STbd«Zock\]S\`OQSQZoa!\`bc5Z bZ=ls\`SH_emck %¾oce^_kZ<¦¨eSH^|\`S£ i 1+ 0 bdl\`OQSTSHZQjk\`Oce _#l|Ooce^]\]SHl|\x{o_k\]O\]c#_jebd¨eSHZFl|c5Q^`aS{2cebdZ5\ 5 1÷NOQSahOocebpaSce bd=Sm}bdl`a=l]l]SHm¦bdZF\`OQS^]S0l|Q\`l l]SHa\]bdceZ)? 3 Va_kZ=SaceRT{QQ\]SHmF
(133) S "9abdSZG\]dCb \`O_9RTc}m}b³oSHm¦o^]S0_em<\`O}f÷³=^`l|\xl|S0_k^hahOFls\h_k^]\]bdZQjT^`ceR \`OQSul]ceo^`aSx_kZomT=l|bdZQj\`OQSuad_5l]l]bpa_k2¿xb rs¥}ls\`^`_oÀ l¬_kdjec5^]b\]OQR 7 z ; < «¿ub rs¥}l|\]^h_QÀ l²_ej5ce^`b \`OQR R _e¥eSHl =l|SVck«_{Q^`bc5^]b\s GQSQS\`c9l|SHS0a!\\]OQSZoS£<\¨eS^]\]S£9\]cT2S{Q^`c<aSHl`l|S0m9bdZC\]OQSQ^`SH_5m<\]OQf÷³o^hl|\l]SH_e^`ahO) ¿ub rs¥<l|\]^h_QÀ l_kdjec5^]b\]OQR_edl]c^]S\]Q^`Zol
(134) ce^_eZG ¨5S^]\]S£ _{=c5bZG\]SH^ F+ 0 \]c\]OQS{o^]S0aSHmQbZQj¨eSH^|\`S£9c5Z _l|Ooce^]\]SHl|\¬{=_M\]OCdbZQ¥<bdZQj \`c\`OQSVl|c5Q^`aS 5p G
(135) b \`S^h_M\]bdZQj\]OQS {2cebdZG\]S^
(136)
(137) SaH_kZ c5dcM¤_l|\]^`bpa!\]d mQSHa^`SH_5l|bdZQj{o_M\`O^`ceR _kZ< ¨eSH^|\`S£9\`c\]OQSl]ceQ^haS5 {Q^`SHl]SZG\hl¼bdZG\]S^`SHl|\]bdZQj:{o^]c5{=SH^|\`bS0l)\`Oo_M\«_kdcM:l)ce^%SH_5l|ac5RT{Q}\`_k\]bdceZceQ\]OoS
(138) _5l]l]c}abp_M\]S0m t}¿ ¾%bd^`l|\xce«_e7iQ\`OQSl]ceo^`aS{=c5bZG\ bpl\]OoSceZQdCc}a_e¼RTbdZQbRQR ck NOQbdluRTSH_eZol\]O=_M\x^`ceR _kZ< ¨5S^]\]S£´¬S¦a_eZmQ^`_© _{=_M\]OckSHm}j5SHlTdSH_5m}bZoj\`c±\]OQSFl]ceQ^haSC{2cebdZ5\9b\]O l|\]^`bda\]dm}S0a^`SH_el]bdZQj ¨5S^]\]S£ f7¨M_kdQS0l¦N,cFce}\h_kbdZ±Q^|\`OQS^ZQbpaS9{Q^`ce{2S^]\]bdSHl¬S9bdd¬_el`l]QRTST^]c5R ZQcM°c5Z\`Oo_M\\]OQS {2ced<OQSHmQ^]c5Z °Oo_el_ MfgjeSHZ<oliG\`Oo_M\:bp>l bpl\]c5{=c5c5jebpa_ed S GQbd¨M_kdSZG\\]c _\]^`bd_eZQjeQp_M\`SHmCl|{oOQS^`Se ¯ b\]O±\]Oobdl_5l]l]QRT{}\]bdceZ¼iª¬STjeS\u\`OQScedcMbdZQjC{Q^`ce{2S^]\s§\]Oo_k\Vbdd«{Q^]cM¨<bpm}S_§aceRT{QdS\]STm}S0lsf a^]bd{}\`bc5Z#ce¼\]OoSV\]ce{2cedcej5bdaH_kªahOo_eZQjeSVOQSHZ\`OQSSH¨eSHª{o_el`l|S0l
(139) \]OQ^`ceojeO§_a^]b\]bpa_eª¨M_kdQSe º ²¶ © · D "B HK ,C-& !C,&4 t, %$ ~ C2 CCNN6GPC "B + 0 )&6l ~ . . . . . . . . 1. . f <$,C,6J. . º)º L t}bZoaFS Oo_el,_ MfgjeSHZG=li\]OQS¬^]S0_kdb 0_M\]bdceZckQ_eZGdS¨eSHel]S\,a<aS¬l|{Qdb\`l bdZG\]c\s
(140) c:ac5ZQZQSHa\]S0m a ceRT{2ceZQSHZ5\hl Xgl|=ahO¤_a<aS±ac5Z5\h_kbdZol_a^`c5l`lsf7Õ_eaS¦bZ=abpm}SZG\\`c i:\`OQSZ ceZQSFce\]OoSHl]SF\s
(141) c aceRT{2ceZQSHZ5\hlxRol|\ac5ZG\`_kbdZol OobdS\`OQSce\]OQSH^aceZG\`_ebZ=l:\`OQSl]ceQ^haS{=c5bZG\0NOQbplubdlSH_5l|bddCl]SSHZ ^`ceR \`OQS _k2cM¨eSm}SHa^]S0_el]bZQj{o_M\`O{Q^`ce{2S^]\s 1Õl]SS _kpl]c#¾%bj5Q^`S 9 3!wxcMi)_kZ<Fm}SHa^]S0_el]bZoj{o_k\]O . . −. +. +. −. v − +. p s. ¾%bdjeQ^`S 9$L*}Noma8sleCjKo+
(142) , HrRa&a-jKbPjKoFa*qKa4e#[!`*4ejK`!Y#O Y#d
(143) e#On2[!a&u\a&[bva-jwinmi-[^aHi&Y\Oje`^Om`!OFyY\OFaHY#q rRY#qKa i-qKY\bvb dXei&a&bUXbvole#]ma4] Y#OjKoma `^y#{mqKaCcN`!OFi-`6]a&OjpjKY ,RY\Omi&a*e#OF] Y\Om[?nY#OFi&a#| ^`ceR \`cl]OQc5QdmRTSS\S¨5S^` a}adSaceZG\`_ebZobZQj_a^]cGl]l|f7Õ_eaSxbZoabdmQSZG\\]c ²t<bdZoaS RTSS\hl
(144) \]OQS OocedSdS¨5S)l]S\ F+ 2 0 S£Q_ea\]d9ceZoaSei<\`OQS^`SVRol|\:=Sc5ZQd9ceZQSl]oahO§a}adS . 5. ÍÙ%Ï)ÍýØ.
(145) AmA.
(146) !#"$&%('*)+-, .. ¾o^]c5R~\]OQbpl«{Q^`ce{2S^]\sb\bpl+l]SSHZ\]O=_M\«\]OoS:aceZQ³ojeQ^h_M\`bc5ZckJ¾%bj5Q^]S E ceZ\]OoS
(147) ^`bdjeOG\+a_kZoZQck\«c}aaQ^H ¡xdl]cTb + 2 0 ac5QZG\`l
(148) \`OQSZ<QR2S^ce%a}aS0lck :+ 2 0 i<\]OQSHZ#c5^:_kZ<9¨5S^]\]S£ i}
(149) SOo_©¨eS 5. . + + 0 . . . 0. + 1+ 0 . . 0. . + 0 . . l]bdZoaS_eZG#ahOo_kbdZ§ck ZQSbdjeO<2ce^hl
(150) Q^]\]OQSH^\]Oo_eZ ^]c5R\`OQSl|c5Q^haSVjebd¨eS0l^]bpl|SV\`c9_ZQS a}adS 1Õl]SS ¾%bdjeQ^`S E Sý&\ 3! q+^`ce{2S^]\sFU9{o^]SH¨eSZG\hl:\`OQS t}¿ ^`ceR Oo_©¨<bdZQjdc<ce{olHNOQS¨eSH^|\`S£¦b \`O\`OQSOQbj5OQSHl|\m}bdl|\`_eZoaS
(151) ceZ9_c<ce{
(152) ceodmTbdZom}SHSHm Oo_©¨5S\s¬cQ^`_eZoahOQS0l«jec5bZQjmQcMZT\]OQSl|c5Q^`aSOQbpahO ¬c5Qdm aceZG\]^h_emQbda\ {o^]c5{=SH^|\sFUoTt<bdZoaS\`OQS tQ¿bdlaceZQZoSHa!\`SHm 1årsol|\ceddcM _§m}SHa^]S0_el]bZQj#{o_M\`O±\]cC\]OQS l]ceQ^haS^`ceR _eZ<9¨eSH^|\`S£9ceZ§_ a}aS 3!i<\]OoS t}¿~Rol|\:=S_\]^`SS5 NOQS\]^`SSls\`^]=a!\]o^]Sck«\]OoS t}¿ bdlu^]S0ac5^`m}S0m§bZG\`c#_ \`^]SHS 1+ 0 OQcGl|S^]c<ce\Hi2bZG\]SH^]Z=_k%ZQc}m}SHl _eZomdSH_©¨eS0l_k^`S9^`SHl]{=S0a!\`b¨5Sd\`OQS#l]ceQ^haS 5i\`OQS#l`_emQmQS9¨5S^]\]bpaS0li«_kZ=m±\]OQS#c}a_e²R _M£}bdR _QNOQS dbdZQSHl
(153) ck + 0 bdZQ¥a^]b\]bpa_e=¨5S^]\]bpaS0l
(154) _eZomace^`^]S0l|{2ceZ=m\]cTa<bdZom}^`bpa_kJ{o_e^|\hl²ce 9«¾%bj5Q^`S ; l|OQcM:l _Tl]bRT{QdSS£Q_eR{oS5 . s4. s4 s5. s2 s3 s1. d5 d4. s3. d3 d2. s. s5. s2. d1. s1. s. ¾%bdjeQ^`S ;BLp}NomaQ ST `!bDe#Oa&r8WZa4]m]m`!OFyY#dfjKoFa jvqKa-a . $| OjKoma [!a-d6jPjKomawQtST `!bDi&Y#rRsF{mjKa&]Rd6qKY\r kFua [^a-ua&[$bva-jKbDY#d
(155) i-Y#qvqKa&bvsZY#Ol]m`!Omy8jKY8jKoFa*]`!b~je#OFi-a&b ./. | X[Z§{Q^h_ea\]bpaSei}
(156) SVbd)ol]SVb \hl\]^`SSl|\]^`oa!\`Q^`Su\`c9ac5Zols\`^]=a!\\]OQS }t ¿ h ,"§ ¯±S{o^]S0l|SHZ5\_kdjece^`b\]OQR lc5^uac5RT{Q}\]bdZQj\]OQS\]^`SS 1+ 0 _eZomC\]OQS tQ¿ _5l]l]c}abp_M\]S0mCb \`O¦\]OQSm}bplsf \h_kZoaS ©uN,cap_k^`b#\`OQS{o^]S0l|SHZ5\h_M\`bc5ZC
(157) S_5l]l]QRTS\`Oo_M\ZQc9\s
(158) c9¨eSH^|\`bdaSHlceF _k^`S_M\x\]OQSTl]_eRTS mQbdl|\`_eZoaS¬^]c5R \]OQSl]ceQ^haS5¼X[ZTa_5l|S¬\]OQbpl%¬c5QpmOo_e{Q{2SZ)ik
(159) Sa_kZls\`bd}ce^hm}SH^¼\`OQS¨eS^]\]bpaS0l_eaace^hm}bdZQj \`c§\]OQSHb^ce^hm}S^ce{o^]c}aS0l]l]bdZQjo9¯±S9_kpl]cF_el`l|QRTS\]O=_M\\`OQS9ZQSHbj5OG2ce^hlVck_§¨eSH^|\`S£ªi)\`OQS9bdZoabpm}SHZ5\ Õ_5aS0l«\]c_kZ SHmQjeSei<_kZ=m\]OQSuSHm}j5SHl²_eZomT¨eSH^|\`bdaSHl²ck)_VÕ_eaSuaH_kZ 2Su_eaHaS0l]l]SHmbdZac5Zols\h_kZG\«\]bdRTS + 0 NOoSbdZQj5SHm<fgSHm}j5SmQ_M\h_l|\]^`oa\]Q^`S 7 ¯±Sb 9 < i}c5^bZol|\`_eZoaS5i<Q³opl:_eª\`OQSHl]SV^]S GQb^`SRTSHZ5\hl . . . . Ï,Ï øpHÚ!Û&Ü.
(160) A. . t, xH:#l
(161) t f4l&. N,caceZ=ls\`^]oa\\]OQS t}¿iM
(162) SZQSS0m\]cl|
(163) SSH{\`OQSSH¨eSH<^]c5R SH^]cu\]cVb\`l«R _M£}bdRQR ¨©_eoS _eZomCaceRT{QQ\]SV\]OoSI|_©¨5S^h_kjeSCJ:{=c5bZG\ck¨M_k^`bc5ol
(164) SH¨eS)l]S\xa}adSHlH NOQSl|S\uce«a^]cGl]l|f7Õ_eaS0lac5Z5\h_kbdZQSHm§bdZ_ dS¨5S%l|S\ahOo_eZQjeS0lOQSZoS¨eSH^\]OoSdS¨eSH¼{o_5l]l]SHl:\]^`ceQj5O _#¨eSH^|\`S£¦¨M_kdQSeNOQSTZ<QR2S^Vck
(165) m}^b 5JS^`SZG\dS¨eSH«l|S\`lbdl\`O<olS Go_k%\`c\`OQSTZGoR2S^ck¬¨eS^]\]bpaS0l t}bZoaSxRTc5l|\²ceª\]OQSu¨eS^]\]bpaS0l+_k^`S:c5QjeOG\+\`c2Sx^`Sjeod_e^+RTc5l|\²ckª\`OQSHl]S:dS¨eSH2l]S\hl+bd2Oo_©¨5S\]OQSVl]_eRTS \`ce{2cedcej5e¡:pl|c=io{2cedGOoSHm}^h_k)c5}rsSHa\`lR _©COo_©¨eSO<QZ=m}^]S0mQlc5^\]OQc5ol`_kZomQl:ck«¨eSH^|\`bdaSHlHi=_kZ=m§¬Sm}c Zock\ZQSS0m \]O=_M\RT_eZ<dS¨5Sªl]S\`l¬\`cac5Zol|\]^`oa!\
(166) \]OQS tQ¿}X[Z#{Q^`_5a!\`bdaSeiG¬Su³Q£ \]OoSuZ<QR=SH^
(167) ce¼dS¨eSHdl 1^]c5R A \`cT bdZc5Q^²S£}_eRT{QS0-l 3¬_kZ=m9l|SHS0a!\
(168) \]OQSdS¨eSHdl¬QZQbce^`RTTbdZ9\`OQSu^h_kZoje S g+¾Qce^ S0_eahOCl|SHS0a!\]S0mdS¨5Spli<
(169) SVRol|\:aceRT{QQ\]S\]OQSace^`^]S0l|{2ceZ=m}bZojdS¨eSHªl|S\^`SH_eb H_k\]bdceZ) NOQbpl^]S GQb^`SHl ³=Zom}bdZQj_l|\`_k^]\]bdZQja^]cGl]l|f7S0m}jeS
(170) bdZ SH_eahO a<aSceJ\]OQS:dS¨5Sol]S\0«NOQSZ)i5^`ceR¢Õ_5aS0l«bZ=abpm}SZG\+\`c\]OQS0l|S l|\`_e^|\`bZojTa^]cGl]l|fgSHm}j5SHlHiG
(171) Sa_eZ§
(172) _e¥ \`OQSm}=_k)j5^`_e{QO#ce _kdceZoj\`OQSdS¨5S¼l]S\x_eZom§m}S\`S^`RbdZQS_e \`OQSdS¨eSH)l|S\:a}adSHlH NOQS\`^]SHSTl|\]^`oa\]Q^`S + ck¬\]OQS tQ¿_ea\]o_ed¦{Q^`cM¨Gbpm}S0lu_eZ#S " abSHZG\\`c<ce\]c§m}S\]S^`RTbZoST_ l|\`_e^|\`bZoj¦SHm}j5S bZS0_eahO´a}aS 0 ce_eZ<dS¨eSH¬l]S\0Cq²^]S0abpl|SH5i,
(173) S QQbddm\]OQS t}¿OobdS9\`^`_©¨5S^hl|bdZQj \`OQSbdZQSHlce + 0 ¾Qc5^uS0_eahObdZQS + -. /10 ce + 0
(174) SaH_kZaceRT{Q}\`S_Cl|\`_k^]\]bdZQjCa^`c5l`lsfgSHm}j5SbdZ _eZ<#a}aSaceZG\`_ebZQS0mCbZ¦\`OQS_5l]l]c}abp_M\]S0m#a<bdZom}^`bdaH_k){=_k^]\HNOQbplbdlum}ceZoSb \`OF_9m}S0a^`SH_el]bdZQjT{o_M\`O l|\`_e^|\`bZoj_k\ / _ell]OQcMZCbZ¦¾%bj5Q^`S A Q . . s4 s5. s2 s3 s1. y. π(s3). z. s ¾%bdjeQ^`S A LN}Noma
(175) 2sZY#`^OjKa-q
(176) smqKYCu`^]ma4]RWn8jKoma(Tw` g b~jvqe bpe#[!y\YqK`?jKoFr !` bN{mbva4]_jKYkFOl]Re*b~jeqvjK`!OFyi-qKY\bvba4]y\a .0$NY#d eHi-ni&[!ai&Y\Oje#`!Oma4] `!OjKomawi-n[!`^OF]qK`!i4e[fqKa&y#`^Y#O Z W a-j.Na&a&O elO ] |. ¡ul\]OQSaceZol|\]^`oa!\`bc5Z#_ej5ce^`b \`OQRbdlj5Qbpm}SHm#< \]OQSV\`^]SHSls\`^]oa\]Q^`S 1+ 0 i}¬Sa_eZC_5l]l]Q^`Sx\`Oo_M\
(177) Sm}cTZQck\:RTbpl]l_eZ<a}adSVbZ¦_dS¨eSH)l|S\x_kZom\]O=_M\:SH_5ahOCa}adSbplac5RT{Q}\]S0mCceZQd9ceZ=aSe NOQSTcM¨5S^h_kd tQ¿aceZ=ls\`^]oa\]bdceZ±_kdjece^`b\]OQR bplx\`O<olVo_el]SHmFceZ\s¬cCls\`S{ol L bdZ_#³o^hl|\Vl|\]SH{)iª¬S oQbpm#\]OQSV\`^]SHS + 0 io_kZom#bdZ§_Tl]SHaceZomCls\`S{)io¬Sac5RT{Q}\]SV\`OQS t}¿ b \hl|SH s. ÍÙ%Ï)ÍýØ.
(178) U A.
(179) !#"$&%('*)+-, .. .
(180) . NOoSuac5Zol|\]^`oa!\`bc5Zce 1+ bdl²o_el]SHmTc5Z¿ub rs¥}l|\]^h_QÀ l²_kdjec5^]b\]OoRC%Xg\¬bpl¬{=SH^|c5^]RTSHmTOobdS:\`^`_©¨5S^hl|bdZQj \`OQS_emMr|_eaSHZoa#je^h_k{QOCck&90 ²¿uQ^`bZQjT\`OQbpl\]^h_©¨eSH^`l`_k7iG¬SaceRT{Q}\`SV\]OQSl]OQc5^|\`SHl|\{=_M\]O¦m}bpl|\`_kZ=aS ce)\]OoSu¨<bpl|b\]S0m¨5S^]\]bpaSHl
(181) _el¬
(182) SdJ_5l¬\]OQS {2cebdZG\]S^
(183) \`c\`OQSu{o^]S0aSHmQbZQjZQSHbj5OG2ce^
(184) ceZC_l]OQce^]\]S0ls\{o_k\]O) ¡uluce^u\]OQS ap_el`l]bdaH_k,¿ub rs¥<l|\]^h_QÀ lV_kdjec5^]b\]OQR§i2¬SR _kbdZG\`_kbdZ_{Q^`bc5^]b\s 5oSQSb \`O^`SHl]{=S0a!\\]c#\]OQS mQbdl|\`_eZoaS5:NOQbdlx{Q^`bc5^]b\s GQSHQSac5ZG\`_kbdZol\`OQS¨5S^]\]bpaS0l:_em©r|_5aSHZ5\x\]c \`OQS_e^`SH_5m}¨<bpl|b\]S0m§¨eS^]\]bpaS0li o}\:OQc5l]Sm}bpls\h_kZoaSO=_©¨eSZQck\:5S\=SHSZC³Q£}SHmC< \`OQS_kdjec5^]b\]OQR§ tG\h_k^]\]bdZQj^]c5R\]OQSV^`c<ck\Hi<
(185) Su¨<bpl|b\
(186) \]OQSV¨eSH^|\`bdaSHl
(187) ck QZG\]bdª
(188) SuSHZoac5QZG\]S^_l|bdZQj5Qd_e^¬¨5S^]\]S£ ¡
(189) \u\]OQbpl{=c5bZG\0i2
(190) Sa^]S0_M\`S_9dbZo7S + 0 ck + 0 Xg bdl_9dc}a_k,R _M£}bRQR \]OQSTac5Zol|\]^`oa!\`bc5Z¦bdl l|\]c5{Q{2SHmF_eZom + 0 ^`SHm}=aSHlx\]c\]OQSTl]bZQj5SbdZQHS + . 0 x\`OQS^`bdl]Sei Rol|\u2ST_l`_emQm}dS¨5S^]\]S£Ji _eZom¦
(191) Sl]{Qdb \\]OoS{Q^`bdce^`b \s GQSQSbdZ5\`c + GQSQS0luace^`^]S0l|{2ceZ=m}bZoj \]c#\]OQSQ^h_kZoahOoSHl:ce S0_e0 ahO#Q^`_eZoahOCQZG\]bd)¬SV^`SH_5ahO#_kdª\`OQSR _M£}bR _o + 0 +¯±S^`SHao^`l]b¨5Sd aceZG\`bZ<QS\]Oobdl{o^]c}aS0l]l
(192) c5ZC NOQS_ej5ce^`b \`OQR{Q^`c}aSS0mQl_el
(193) c5dcM:l 1"!<% ' ' ' '"#eZ¶ 3 óM$&á!è¼:% ä|ç
(194) çhçh/è ì©õ~.uèÕüå+xá!æè÷ä|çhü èXíô¼í÷(äsâ0ö,'ø©â©ì©+äsèÕâ©áHáhä+õsþäs- áhô7þoô÷ä|æé5äsÎ èí7üåõsäsô +Î èsÎ í]*Î ) ) 10 2*354 . . 27358:9<;*; 6 0 1 > $ 3 =?? @. üåø©ô7äsèí hç ô)íh0ä«è÷ááhí%áhþ7A 0 A 1 & ' % 5 ' ' 3. . . 2. B7CEDFHG I )J)JKMLONN ; PR0 Q N 2 0 $TS 12 U CJV?W U G A CXGZY. ]\ + bpl_§^`SHao^`l]b¨5ST{Q^]c}aSHm}Q^`Se§X[ZG\]ob \`b¨5Sdei%b \RcM¨5SHl\`OQS9^`ceZG\ck¨5S^]\]bpaSHl l|\]c5^][ S0m9bdZCA_\]^XOQ^XS`ba{Q^`bd^ ce^`` b \sc 0GQSHQS ` QZG\]bdJ\]OQSZQS£<\xa^`b \`bdaH_kª¨eSH^|\`S£ bplRTS\0+NOQSVbdZQS + c3. 0 bdl
(195) \`OQSZ _5mQm}S0m9\`c + 0 _kZ=m ` bpll|{ob\x_eaHace^hm}bdZQj\]c\]OQSbdZom}S£#ce {o^]c}aS0m}Q^`S [ ]\ AX^X^X`ba ^ + ` c 0 B7CEDFHG ; î de FgfhC üåô)ø©áhí,ä ìHXí YZi B7CEDFHG ä[Òöçhí7è÷/è çh.õ[<í+:+ çhô,3 ì©èÕ©áä|õ|çhäséô÷ô7áhäsþ é ; çhø©éué©ä 'Hâ©äsâ©ä ; Û j i U + çhé?k÷çhõ|äsøí,í÷ál; +:çhø©éH:çhè".!äséuâ©ø©ì©èÕáHõsäsô7ô÷äsé YZi F j*+ üåô)ø©áhí%üåø V e CmG BCEDnFgG ô7ô7ä[ä[oíí ) ?0 +0 + 2 2 í÷í÷lá á + ) ?0 + 2qp5r + st+ r î|ò üåø©ô7äs6 èíu+ üåøí÷á ; . . . . CmGZY CXfhvCwF jx) 0 + z2 y ) 0 + 2Zp>r +{st+ r V e CmG BCEDnFgG õ~Mçhø ä ) 0 + 2 í÷á) 0 + 2qp5r +{s|+ r. Ï,Ï øpHÚ!Û&Ü.
(196) A. t, xH:#l
(197) t f4l&. î|Û. ~õ Mçhø ä 6 0 + 2 í7áT+ õsjá4Q ì©) Cmâ00 GZí÷+ äY2*í.3©ä« üåø©Ög+:é©ä[üåöô,ç¬Q ãåáH) õ|0 çh+ ãF2 :ç`öHü?
(198) â\xÝ e F üåø©ô7äsjèí¼Q ãåüå) ø©0 ä + 2 0 S + 4 2 gÖ üå+xøí÷üålá ô¼A ç
(199) 1ô70 çh- é©2 é©ãå¼ä«ü híìk(á!üå+xøí[çhV Ý ô¼CXç
(200) e G ãåä|ç`þ CmfgvCtF V CXG B7CEDFHG üåô÷ø0ì©ô7ãåäsü í èÕí,; ãåüåüåø©øä í÷á 0 S s + 2 üåQ øí÷) lá 0 + A 2 ô70 â - 2 'â©äsâ©äsô ; õs+:á!áhèÕè÷þ}äs.í ô÷©ìeä«á!ø0ãåä[驿üåäsø ã< ô7ä[í7á
(201) í
(202) í.©0 )ä« õv0 H+ õ|2qãåpäsô, üå2ø©õsüåé©äsøí)í÷á j s Q ) 0 + 2. ß!ò. ". ß!Û CXGZY. CXGZY. CXGZY. iU. YZi I )J)OKMLON1N ;7PRQ N 0 ; " S + 2. % ' · ' X[Z\]OQSCc5dcMbZojF¬S§l]¥eS\hahO´l|c5RTS#{Q^`c<ckc5^ace^`^]S0a!\]ZoSHl`lck\`OQS¦_kdjec5^]b\]OQR _kZ=m _eZo_kd Sb \hl:ac5RT{QS£}b \s5 )HQ ¶ ¶ % ( @+ 0 ,& )& ,&4&, .! ,&*3Z ~&% (^ t R "Bt\,&-%Z [ \ A_^m^X` a ^ J NOoSad_5l]l]bdaH_k2¿xb rs¥}ls\`^`_oÀ l
(203) _kdjec5^]b\]OQR°ol]SHl¬ceZoTceZoSu{Q^`bdce^`b \s GQSQSV_kZ=m9¨eSH^|\`bdaSHl¬_k^`Sum}S 5oSQS0m9bdZ mQbdl|\`_eZoaSce^hm}SH^ 7 z ; < «X[Z#ceQ^a_5l|Sx\]OQbplbdll|\]bd2\`^]QSVm}Q^`bdZQjS0_eahO9S£}SHaQ\]bdceZce)\]OoSu{Q^`c}aS0m}Q^`S ]\
(204) X[ZFck\`OQS^u¬c5^`mQl:¬Sj5S\:\`OQSl`_kRTS{o^]c5{=SH^|\s#OQbdS\`^`_©¨5S^hl|bdZQj _9aGdbdZom}^`bdaH_k){o_e^|\ ce[ _eAXl`^Xl|^Xc}`baa bd_k\]^ SHm9\]c _Q^h_kZoahOCck + 0 ¯ OQSHZ9m}S GQSHQbdZQj_V¨eSH^|\`S£ 1dbZoSxmU 3_eo\]OQSx_5m©r|_eaSZG\+¨eSH^|\`bdaSHlb\]O9_m}bpl|\`_kZ=aS:l]RT_edS^+\]Oo_eZ + 0 Oo_©¨eS:_e^`SH_5m}2SSZ{Q^]c}aSHl`l|S0mOobdSx_kdQ\`OQSxce\]OQSH^¬_5m©r|_eaSZG\+¨eSH^|\`bdaSHl«Rols\
(205) bdS:bdZT\]OQS GQSQS b\]O\]OQSHb^m}bpls\h_kZoaSul]S\¬\]c_¨M_kdQSxj5^]S0_M\]SH^«\]O=_kZ + 0 «Xg\
(206) ceddcM:l«\]O=_M\
(207) + 0 aH_kZ92SVace^`^`SHa!\` aceRT{Q}\`SHmª )HQ ¶ ¶ % C "B ` xz% <$$&%~! t K [ ]\ A_^X^X`ba ^ X ,&f ~ B_ X"$z h X h2KzX 8 . . . . . . ). 3. "B ,&&%F4B6(-C6 . X! v2 "B6- ,-&%FC"$ z X .R4 ^ 3J. . . + 0. . 6(K . . f <$. ,C,6<6wt% 6&4 *t K X"$4. t}Q{Q{2c5l]S \ bpl
(208) ^]QZ9ce^+\`OQSu³o^`l|\²\`bRTS5i<l]c\`Oo_M\¬\]OQS GQSoSu_el¬ZQSH¨eS^¬=SHSZCl|{Qdb\H«¡xl²ce^ u¿ b rs¥<l|\]^h_QÀ l[ _kdjeceA_^`^Xb\]^XOQ`bR§a iJ^ ¨eSH^|\`bdaSHlx_e^]Sm}SGQSHQSHmbZ±m}bpls\h_kZoaSc5^`m}SH^H¯ OQSHZ ` bdlVm}S 5oSQS0mFbdZdbZQS Uoio\`OQSce^`bj5bZ§ck+SH¨eSH^]§a^`c5l`lsfgSHmQjeSeio^]SHd_k\]bd¨eSd#\]c9\`OQSdS¨5S + 0iJbdSHl_M\V_9m}bpls\h_kZoaSl]RT_edS^ \`Oo_kZ + 0 ^]c5R \]OQS l]ceQ^haS 1 bplahOQcGl|SHZl]c\`Oo_M\ZQc§¨eSH^|\`S£F ce0 \]OQSH^u\`Oo_kZ Oo_5lub\`lmQbdl|\`_eZoaSTbdZ \`OQSbdZ5\`S^`¨M_k + 0 + 0 X3+¡:dª\]OQS0l|Sc5^]bdjebdZol
(209) R=ls\\`OQS^`Sc5^]SVOo_©¨5Su2SSHZC{o^]c}aS0l]l]SHmSH_e^]dbSH^H Xg\Vc5dcM:lu\]Oo_k\\`OQSTS£<\]^`SRTb\s¦ck¬\]OQS0l|S a^`c5l`l|f7S0m}jeS0l:Oo_©¨5S2SSHZSHZ GQSQS0m_k\dbdZQS A Q¡:pl|c=i¼_el
(210) SxO=_©¨eSxZock\eS\SZ=aceoZ5\`S^`SHm9_eZ<Ta^]b\]bpa_eJ¨eS^]\]S£ªie\`OQSVSH¨eSJl]S\bdlac5RT{=cGl|S0m ck,_QZQb GQSVa}adSei \`Oo_M\:c5<¨Gbdce=l|d9ac5Z5\h_kbdZol_Ta^`c5l`lsfgSHm}j5SxbdZoabpm}SHZ5\\`c ¡ul]l]QRTSTZQcMi2\]Oo_k\ ]\ bdlVaH_kdS0mFb\]O_ GQSoSei iJaceRT{2c5l]SHmFce¬_#QZQb 5oSa<aS aceZG\`_ebZobZQjC_#a^]cGl]l|fgSHm}j5S[ bdZoabpm}AX^XS^XZG`b\a \]c ^ c ¡ ^`SH_5l|c5ZQbZoj#l]bRTbdd_e^x\`` c#\`OQST{Q^`S¨<bc5oluceZQSTl|OocM:lx\`Oo_M\ \`OQS#l|\`_k\]SHRSHZG\^]SHR _kbdZolV\]^`QS#SH_eahO±\`bRTS ` bdlm}S GQSHQSHmbdZdbZQSCUQ¦X[ZdbZoSCkUoi,OoSZ\]OoS9³o^hls\ . . . . . . . . . . ÍÙ%Ï)ÍýØ.
(211) A.
(212) !#"$&%('*)+-, .. . a^]b\]bpa_e¨eS^]\]S£FbdlmQSGQSoSHmªi)
(213) S l|{ob\ ` bdZG\]c
(214) + 0 l|o GQSHQSHl `F/ ac5^]^`SHl]{2ceZom}bdZQj\]cC\]OQS a}adSHlbZoabdmQSZG\\`c ce:\]OQSCdS¨eSHl|S\ F+ + 0 0 ´N,cmQc±l]coi«
(215) S#_kd¥_kdceZQjSH_eahOa}adS#ce F+ + 0 ace^`^]S0l|{2ceZomQbZQj\]cT_ahOo_ebZ#ck À lH1÷l|SHS¾%bdjeQ^`S E zbdjeOG\&3¬_kZ=m9ls\`ce^`S:\`OQSVS£<\]^`SRTb\sce \`OQSTa^`c5l`lsfgSHm}0 j5SHlbdZ_l]S{o_e^`_k\]S GQSHQSeX[Zck\`OQS^V
(216) ce^hmQl:
(217) Sa^]S0_M\`SHlx\]OQS ` / À lx^`ceRl`a^h_M\hahOFSH_5ahO \`bRTSC¬SRSHS\ _a^]b\]bpa_e¬¨5S^]\]S£ ^`_k\]OQSH^\`Oo_kZl]{Qdb \]\]bdZQj ` bZSC5JSHa\H G¬aceZol|\]^`oa!\`bc5Z)i«SH_5ahO GQSHQS ` / aceZG\h_kbdZol\`OQSS£<\]^`SRTb \scex_kd+\]OoSCa^]cGl]l|f7S0m}jeS0lV^]SHd_k\]bd¨eSH\]c\]OQSCSH¨eSH 1+ 0 ce _FQZQb 5oS#a}aS5i_eZom_M\S0_el|\ceZoS9ck\`OQSHl]S#a^]cGl]l|f7S0m}jeS0lVOo_el _5lb\`lce^`bj5bZ) [ ]\ AX^X^X`ba ^ bdl o^|\`OQS^a_kddSHm±b \`O´SH_5ahO 5oSQS ` / _eZom±\]OoS#l|\`_M\`SRTSZG\c5dcM:l<bdZom}=a!\]bdceZceZ±\]OQSCa_eplV\]c [ ]\ AX^X^X`ba ^ )HQ ¶ ¶ % -#,&&%Z [ \ A_^X^X`ba ^ ,&4&, .^ ,-*3Z ~CR X"$z h& + 0 J ¾o^]c5R l|\`_M\`SRTSZG\ub\:bdl:l]SSHZC\]Oo_k\:SH_eahOCbdZom}bd¨Gbpm}o_e¼a_e)\]c \ ac5^]^`SHl]{=c5Zom \`cT\]OQS l]
(218) SS{Cck_QZQb 5oSSH¨eS)l]S\xa}adS2S\s
(219) SSHZ\s
(220) c a^`b \`bdaH_kª¨5S^]\]bpaSH[ lH A_^X^X`ba ^ ¾%bdZo_kd5iG\]OQS^]S0aQ^hl]b¨5Sxa_epl+\`c [ ]\ A_^X^X`ba ^ {=SH^|c5^]R_mQS{}\`O9³o^hls\l|S0_k^hahO ck + 0 l]c\`Oo_M\ b\:¨<bdl]b\`l
Documents relatifs
Dans chaque ville et pour toutes les lignes de tramway considérées, il faudrait disposer des trafics avant et après ouverture d’une ligne et de plusieurs projections d’évolution
Le fait d’écrire à partir d’une oeuvre d’art visuelle ressemble à une forme de contrainte; nous croyons par ailleurs que cette pratique a eu un effet durable sur l’écriture
variables d'ordre psychologique: soit f.amiliale ou personnelle, soit so- ciale, soit professionnelle, soit une combinaison de ces facteurs. Ce patient a récupéré
For the two coolest objects in Figure 3.6, HD 4539 and PG 1716+426, both at Ta < 27, 000 K, there is a good match between the predicted synthetic spectra and the FUSE data: the
lui inculquer le registre li'lquistioue, les l1abitudes alimen- taires et vestimentaires ainsi que le comportement des bour- geois de Québec. Pierrette Paul doit
La conciliation emploi-famille : des mesures à développer dans les milieux de travail Tableau 4 : Les dispositions favorisant la conciliation travailfamille dans les
Figure 2.4 Predicted (continuous lines) and observed values (filled circles: stands aged from trees with root collar; open circles: stands aged from trees without root collar)
Cette posture permet de dégager deux idées centrales : le poids des milieux professionnels locaux dans l’intermédiation et le transit des idées, modèles et pratiques