An Analysis of Some Models Used in Image Segmentation
34
0
0
Texte intégral
(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. An analysis of some models used in image segmentation Robin Morris, Xavier Descombes and Josiane Zerubia. N˚ 3016 October 1996 THE`ME 3. ISSN 0249-6399. apport de recherche.
(3)
(4)
(5) !
(6) "
(7) #$ % # &%'&
(8) (*),+ -/.101),2"2"-/3547698;:<-/=52>?=53"@5),AB+C=D3E8F.7GIHF),3 -J8F. =LKM=D2ON7+%-J8 P QSR"TVblT U_nWmDXU"o"k;Y[piZ5cD\]UOZi^`ZS_Dq"a U"\`o"bdc5kiZea c5QSZic5ZiTV_nblTVoro`U _DfJZiT a _gUOoahQibjZSUDk st^`cnu[U"\Mswvyx;PzY`x {|_D}i}~c5^]\ pSU'^`U"ahQSUO^`ahQiU ZgWDiOBX a \`cDU"^ "DgXWgV}i_nmDU"o %""igg blT U"_n^`UymDUy\`QSTVUcS}ipS^]U"c5jSo P j_DU"QiZiT bjpEoyoz^`_ncnU"jmg}}ic5cD^]Qi^`bj\_D\`Qio]pSU'T UOo`\roza"^`_D^]iblZio`~U"o]UObjpoy\]bjcD_gcDZZ9^zblbl\rZZ5QSgU\rU"QSo`o`UU \]bjm5TVmDT_gcS\]UOpSbjZ5cDU \`ZE_nk\`bl_DbdZ5c5Zi\]Z*c?pEcg\`}iQS_gU x5^r_gszahTVQi _gU"P^r\]U"_gbl^Ma T \]UOUO_no]^]\`mgblbjo]UOT \`o bj_na"o \`P bdc5cgQiZwCU't_ebjPZSZ;bjQS\]iblUT_n%U ~imgUO}~c5^UO_ncg^[lof blTVU"Z5\`_g<\]c;cDjo ~o]UOpEU"Zia cDT }i_goro _ mD^`U"_g\ pSU"_g<cnTVcSpSU"^rZE ¡_g^r¢nc£*ahQi_gbjZE 9c5Z5\]U¤M_g^`jc?¥ B¤M B¤ ¦ ¯°\rTVQSU"U_g\`ZiQSpSmecSUOTpS_ncDjc5mgdZicDc5mgo`^]\`bj§g\`^rk Qi_nT±\]¨^]bjcDc5_gZT©Z~cnp9 \`QS 9\`U«QScDU'ªZ5bl\]T blU i}~i¤Mc5o9_g^]^`\rord_g_gceZiT a ²}SU'j_£U"cnS^h bj¬£Tbj 9Z;ifµU"pST´\`UO^`}ScD³\`}blQ9cg¢njU o`bjj\`o]blifQS pic;bd_gc;UOo`p<oz\] blcnZS7 mD\`oZSQSU_gU'd^`mDblU"T cDor^`S_nbdjmg\r\ QiU'cnT?TVk|cS\rQS\`pSc®bjU o lo \r QScDU«U ^rbl¢exZSm*QiUO_Da Zioc5piZio`o`U U"bjUOp;Z;Z ff UO_D^]^]UOUp²a cD¶LT o]TVc5TVcDZSUej§²a c5}iTVSTV\"?c5ZL STV\`cSdblpSZSU"U"joyocg_gC^`Ue¨io`\`Qiic ^`U*ZB_g^`\`U"c²_DocgUezbl^`ZiU"_go`pSU"UO_D·;^`ahiQ²_n\`_nU blTcDUO^p°\rQS_nUe\'c£}ig~UO^`^`}a cDcDo`TVU"oblZS\]mc o` cDTVQSblU ahQ°cnz\`Qi\`QSU § U }~^]c5SdUOT ozbjpSUOZ5\]bd¸~U"pE_g^`U mgbjgU"Z< ÂC¹Eo]º5\`»,bjT ¼r½_n\`¾ bdc5Zw¿ k~g ¡ _DY[^`TV¢gc£_gmgU ahQio`U _nm5blZTUO ¡Z5cD\`_nZ5\`\]bdUc5Zw¤Mkg_g ¡^`jc~_D^`k~¢gx c£ 'U"{|Zipi_go`Z~U"pSZScDfTÁ¯°_gÀ7ZSbdU"mjpi_go"dmDkgcD^`bdbdUO\rQi^`_DT ^`ahQibja"_niTVcSpSU kgs_g^r_gTVU"\]U"^ Åà Ä<Æ]ÇJÈ"É ÆzÊ ËjÇJÌJÍ Î ÏÐÑ ÒCÑgÓyÔhÕ¨Õ/ÖØ×7Ù<ÚÛ× ×ÜÝÝnÔhÕÞß[àá â'Ú ãhÕ/ÚÛä ÞåjÕ¨ÔhæçÞèßzé,Ôhæ æ ÖØ××ÖØÔhä|ÔÛåFÞ/èß ê~ÜÕ¨ÔhÝgß]ÚÛäVé,Ôhæ æMÜäÖ Þ/ÖØß[×%ÜOäàß[Õ7ÞèOß ë ÏhéwÏ|Ó1ß[æ ÝÚÛÕ¨ÖØÔhìlãhí,Õ/îgÚÛïæyÉ Ñ ðñ ×ÔhÝèOÖòÚOÑ ÖØäÕ/ÖòÚOÑ ådÕ. Unite´ de recherche INRIA Sophia-Antipolis 2004 route des Lucioles, BP 93, 06902 SOPHIA-ANTIPOLIS Cedex (France) Te´le´phone : (33) 93 65 77 77 – Te´le´copie : (33) 93 65 77 65.
(9) e e e *&
(10) "
(11) # &%y&
(12) .
(13) aY[ ZiU"^`bd\`\`bj_g_gbjdZ9UOTZS c5UOZ5T\V¤Cia ^`U'U U\]^`pS\`_DUU }i}q"TVcD\`icS^`\CpipSU?R }ij^`U"a q"ocDo`ZiU"U Z5a \ U"\]pUy^rZi i_g_ndZbjmD\cD\`j^r^`U"bd_\ro £Qi_n}iTVbj^`,U"cDTVoSUOjSR"ZS\]TVqbjdU"blUOo`oVZeq"o pSSU}~Sc5U'\`i^rpS_g^|U Zilo`_*bd \`q"o`bd\`U c5im5Z pSTUpSUOUEpiZ5U"\`}i_nozQi\`a bd_Dc5_Do]^`Z9UO_Doa p \]U" qObj\VT ^]blp o`_n\] mDU"blU"·5o`o'\]iblU"T x5otsM_np \`bd ic5PyZZ pi ¡c5UZiU \`}ipS^`q"_DcDU"^`}oV_DcgTo`jbliR"o[^V\`fJ^`U"i_Do"Z zo]\`}~³bjZS^]U"blmoZik<a TV bl }_gq U?\`dmDQipScDc;^`Upibd\rU"\µQio§STV}~U"T UU }Spi j BUc£§g¤Mx q LUOo UO¤ZiblZipia o`U"lSZLUO qOZD¯°ah\ Qi_g_giZSZ5Z9m9\]bjm5jU"d^`\'c5_DZiZi ZS pEU"U"o`~ZS\]bl^cDT TpS_nU9i\]bj^]cDªUZ°bjpSi_DU~LoTVo`U"q U"\\rZ~QSocS _npSpijU"mg°o cDT ^`TVbj\`_£cSQiSpSTVbjU"TUe^rZSipSU"T Uo pli_eUeTVS^`blo]_gUbjo`U"U"Z²TSq ;l_gbjpiZiU"a ZiU*a }iU_gpS^UiZS bjUT TV}cDq"^`\`\`QS_DcSZipSa UEUVpSpU ~ ¡ZSUcDZ5q"\`\]iU9pi¤MUV_g_D^`}idc}i ^`cncDZ Z~pSpibdU"UoVpS^]U"qOo o`STVj\`c;_gpi\`R ojU"pSo Ua a cDUeZ~o]\`bl^rpS_q"£^`_nq"bjo"Cy_²¤Cq UO\]^[q f \r _nU"blZio|o q"iTV_DcSipSahR QSjUOU"o o|p S \]_£bjSdblU"o`q"oo pSo U _^`DU"R"ah^`QSU"UOZ5^`\MahQSbjZiU _D¨piS_g\r}ii\]^rq"o|o|;_gblo`?_DZD\µ§S \ }~eUo`pSiU^rTV}i^]cDc5Z5S\]jUOR"^ TVa U"UOo ^]\r·;_n blZi bdo lo pSo`UcDZ5a U"\ oa }iUOZi^`cDo`q"So jR"^`TVq"o`U"cDoio]p~c5^]Z5UD\ U i}~c5o]q"U"o" O }~ _g^r¾ _gTV¼ R \r^] UOo kS Bo`U ¤Mm5 BT¤UOZ5ki\`_g_nd\`mDbdc5cDZ^`bd\rp Qi TVbjT U'_npSmDUUgk5x ah Qi_gUOZiT pi}io`oMU"Z;pSfJU¯° ²_gZS_g^rm¢n c£,kgTVcSpSR jUQSbjq"^r_g^rahQSbl·;SUgknUOo]\`bjT _g\]bjcDZ*pSU.
(14) W.
(15)
(16)
(17) ! . & &. ¿ %n( ¾ & #%$'& O ¾
(18) *,+.- º ¾ & ¾ Og º & ¿ - ( º i - (D ¾ ¿ º ¨./ ¾ e º10 º & "S( ¾ & 3 d P QiUTc5ZScDora _gdUyTVcSpSU ©y'y'' 'y'y''y'y' 'y''y'y'y'' ' 3 3 P QiUQSbdUO^`_D^`ahQibja"_n,TcSpSU" y'y'' 'y'y''y'y' 'y''y'y'y'' ' ¿ (Å 56+.- 8 W~W~d º {|P7<½QiU"_nUº jbl&x o`_g\]UObjºZicD&piZio`oM:¼ U"9 cnZ;7fJ¯°\`& Qi_g0U'ZSs m cD0_n\]j\r¾ mgo c5_g^]bjZi- \`p?QiT|bjU"cD^r^z_g^r\`ahQiQSUbla QS_gbdFUO^`TV_D^`cSahpSQiU bjla"oB_n,'T cS'pSU"y '''yy''yy''yy'''' '' 3 / »ç¾ º ? º ¿ç¿ SO )=< i º º º " ( «S ( ¾ & / ¾ > @ d P QiU's cD\]\ro TcSpSU" 'y'y'y'' 'y'y''y'y' 'y''y'y'y'' ' P QiUQSbdUO^`_D^`ahQibja"_n,TcSpSU" y'y'' 'y'y''y'y' 'y''y'y'y'' ' ". @ 3. BA BA DC. 2. i º + & (Å( ¾ & 7º10 º & OS( ¾ & *º ÅO A¾ & ( ¾ & . ) 2 ;. # # # ; *IH. J. * *. Ð%бäLKM NOQP. . D 4. EF<G;. 4. * ;.
(19) ! .
(20)
(21) .
(22)
(23)
(24) @. & E t&
(25) P_Do`Qio`bjbjo'mDZ*^`U"\`}c cDU"^`_g\'aha Q?cDZ~}Sa bdSU"U ^rwZioycn TV\`QSU \rU'QSblcST pi_noymDUycD^y_V\rlQS_gU*U o`U kSmDbjTVZ~pSUObjZDa"\r_n_n\`\`bjZSbdc5m Z²\`ccgMorQi_nbj\]ahU"QEdjbja \]lU_gorblTVoM\`_gQSmgUUO^]}i§Db kwS\`U QS<UU mDjcDcD_nZimDoU WSblZSk<m9 \]c Por}iQi_gbj\]oMbl_nbloC<pScg<blo]bj\rZ5^]\`bliU"^`SU"\`o`bd\Cc5ZeblZwcgk;7cDpi^C#b ",U U"i^`_DU"TVZ5\ }ida UD^`k5cDl}_gZ~\µ§Spe}~iUOo`o U T _gZ~_nmgUOTVU"Z5 \ k QSUO^]U }~U"cD}SjU _D^]UbjZ5\`U"^`U"o`\]U"p*bjZ\`@ QS! U cgCU UO\rZ²¯LQSU iUVo`Y[o]U"blp9U ZSmDm;bjcDZ²¬£^ys7bjcgZ²o]U"\]\rmDo]oyUOTVa TU"\]bjZ5cScD\rpSZ _nU"\]3tbjcD_g5Z9oy§¡}~_EpSiU"^`^`orU }a mDcD^`io`bljSU"_D$o bj^]Zibl m*o]4;UOk7\`^ QS&'w%SU \rk7QSTVU 3cDo]ZSk UOc5a Oo`c5W a"!Zi_nypBjUP a Qi_gcDZ~UZip¡o`¸\`^r^rQSo`ibj\|U"a ^r\`cn_goy^r_Eah\rQSQSTbjU"a"o`S_nUV\`bjbj^`TVoyU"cSo`icgpS_DlU"o]SUOj\]o p9bjcD cDZBQSZ9}5blah\r§;Q¡QS^rU _gQiTV_iDo]blp UU piU"bj\`^`QbdDU"a pejbj·;¨S^]c5UOTo \`bjQS\`U'Qibjc5Z^]bj_gmgZiblZip_g~,U"TV\ c5ZSU"U"cDZ^`U"\ro`QScgU lS^`\]U"bjcDo`cgZelST\`bdcSc5pSZU"/dU" gU"jo" P QiU bj\`QSblZ;fJdU"gU"Fa dbl·;SU }cg\`U"Z5\]bl_nloM_g^`U (zcg\rQ cg|\`QSUOo]UETVcSpSU lo Qi_gU\ cL\µ§S}~UOocg}i_D^`_DTU"\]UO^`o_goro]cSa bl_n\`U"p bj\`Q«\`QSUOT ¶ \`QSU '
(26)
(27) )
(28) * _gZipL\rQSU )
(29)
(30) * cD^'Q5§S}~UO^`}~_g^r_gTVU \`U"^ro P QSU*a l_goro'}i_D^`_DTU"\]UO^`oypSUOo`a"^]bl~U _D^]Q~U|_nbj\ Z5\] UOU ZipSU UOSp*}U"\]cVa \'_g\]pcEu]~cDo]~\Co]\`UOQS^]UyDUV~UO_gQi\y__E;bd}Sc5bdiS^U cgk<<mg\`bjQSgUyUOZ²TVbjcS\`pSo'U a ,jo`_D~o`o'ahQTV\`UOQiT_g\M^`U"U"^r_go`QSdblblor}w_n\]bjcDP Z~QSo7U¨^]TVc5TcSpS\`U QStUy}~_gTV^rc;_gpiTVU U ,\`_gU"^`^rUo ^`Q~U"_}~g^]UeUOo]a UOdZDUO_g\r_n^`d\`§LbdDUpSbjcno`\]MblZi\`QSa \VU*^`o`cgU jm5U"TVoU"_gZ5Zi\]p UOp¡_Dbl^]TVU_gimgo`UO~o _nj d§LU\`pS^`U"U"o`_gbl\]^]U"UVp«\]c9o]UO_g}iah_gQi^rbd_nU"\`gU Ugj+§ P QSLU \Y[Z c\rQS\µbj§SoV}^`U"U"oy}cncD ^`\ }i_D^`Ue_DTcSU"a \]iUOo^ T TVcS_gbjpSZSU"j<§e}ic5_gZE^r_g\`TVQSUU \`o]U"U"^rmDo TV U"Z5\`_g\]bjcDZ?TVc;piU lo \`QiU"T o]U"dDU"o"k~_gZ~p9_g^`U \rQ;io|a cD3 Zi! a U"^rZSU"pE}i^`bjT _D^]bjd§ bd\rQ9\`QSU QibdUO^`PP _D^`QSQSahUULQSbl^`T a U"_gT _nFbl_gZTVbjZicS\]pic;pSU"cgU"^Mjlo o*cn_D io \`o`QSU"_gpçU}i}i^`_DU"d^]bj}U"U²cDp^` ²\]\zc_gbjo ^rbl¢nT _Dc£Ze_n mgblUyZ5ahQigo`U"_gU o`bjmDZç\]TVbjmD 9UO_gZD\]c5\rbjcD_nZ5Ze\`\]bdULc5bjZ5Zw¤M\] c _D^]\rjcçQSU¥/ah BQi¤M_g^r L_ga ¤ \]UO¦^]blTVo]\`U bja"\rQSotcScgpi o,\rQS dU'.-5s7k cg\`n\`ok _gZ~W p P\rQSQiU9Uo]TVblTcSipSjU _gl\]objcD_DZ ^]Uecg|}~^]\`c5QiiU"_go`UESbjjpibjo`bjo`\]\`bla*^`bj~_gSZ~\]p bjcD_gZiZio _g5d§;§ \]bl_La _g ¡dj§²_g^rbl¢nZ5c£\`^r°_ga ah\`Qi_g_niblZdUD²Qi Bbjah¤MQ B^]¤UO_njTVbjo`U U"\roVQSorcS_gpiT o}S_Dj^]U"Uoi¨^]_g3 c5o`T U"p°3 \`c5QS!Z U p\riQSbjo`U\`^`pSbjbl~o]S\r^]\]blbjicDZwS\`'bdc5ÀFZw^]c5T$\`QSUOo]U or_gT }SjU"o U T _§9pi^`_ blZ;UO^]UOZia UOo _D~c5S\¨iZia \`bdc5Zio bj\`Q²^`U"or}U"a \ \]c ;_¦ÛZ;kSiÀ\rQiTcD_n^7~\ \`UOQi\r^ QSU cgUs TVcDU \]"Fc;\rUOpioa U T\`<o cSi¶pSZiU"pi\`iQiU"bj^`U\ mgahblc;oQiU"_g¢;o ^rZS_ _gc a }i\]QiUOZw^]_Dknblo]o]_DUy\`Zibj\ra"p^`oM_DcncDZi^ o]bj^]\`\]UOQibjcD_nU jZ/1bQS0Obd _nUO \`^`! bd_Dc5^`PZiahozQiQibjUcna"7_n}i\`;^]QSTUOUVo]cSUOpSZipSbla U"o]U \r^] cnbliUzS_ }\`cDbd}ic5o`QiZ?\`_Diaho]j_gUyQ~\]_g\`UgZS^rk~_gmD¥/Z~Uo`U o]o`bjU \]ibjo]p~cDUOpSZ?a U"\`QiZSbdc5_gjZ§ o _D Lo ¤M\` BQSU*¤ITVo]cSblTpSU ij_g}~\]_gbjcD^r_gZ9TV_nU jmg\`U"c5^r^]o|bj\`£Q~_gTV^`§go"V|PYµ\QS_nblo|lo`a"c?_ga"i_go`U"io|o`U"\`o QSU \`Qi^`UVU"_nU j"Fb40"UO_na \`\'bdc5cgZi3 o 2Øa cg^`bd\`U bjga"_nUOZEo`ddc5c ZS meblZS^rmiZipioc cntZ o` wbjZibjZ°mgjT U_go]bjZ5\]§U ~x }piUO_gZi\]piblo`ZSU"m Z;fJ_n¯Ljmg_DcDZS^`mbj\`Qi_gT dmDo*cD^`\`bd\rcQi5 Zicg\ k7UL"\` ^rSd§ _go ^`U"pS}~U"^]o`UObdm5o]UOZSZDU"\rp²_n\`\]bdcDU¡c£gcnU"^ra \rc5QSTVU UpS\`bjo`QS\`UO^`o]bliU S}i\]^`bjcDcDZSjU"cnT o blZ5_g\]ZiU"p²^`U"o`}i\ ^]c£;PblpSQSU"Uo T _D~Z¡o]UOp9blZSmg_gUOo ZS}ibjcD_Di^]\|o cn_njmg^]c5UO^]a bjUO\`ZDQi\ T _gd mDcDQS^`blahbd3\rQ²Qi3 T a cDozZ5g! cDUO ^ ^]mD7U"61o
(31) 8^r'_g }io`bjblpSTj§ESl_nU \`DbdU"c5Z²9Z Zi OU"_g^¦ \`P QiUVQSUV}iQ~x _go`U"UZip~\r^`o]_DUOZiZ;o]fbj¯°\]bjcD_gZ<Zim*V_n¥/Yµj\ymgcDbjoy^`bj\`_nQilo`T c bl\royQSblpSo U ^]\rUO_n}~bjdc5UO^]p¡\" blZ²o`U"a \]bjcDZ²W?_gZ~p²io`U"p²U S\]UOZio]bjgU"d§EblZ¡\rQSU U i}~UO^]!blTVU"Z5\`_g cD^r¢?bjZB\`QiUV^`U"T _nblZipSUO^|cg cgpiU"Zi\`PQSo`bdUVQS\µ§*UZS¨cDpSi^r#b ZiT :*a _n\`a"bdjSc5bjo`dZw\µbj§BZim*v|bjZ°a ZEcDUOZ~UOo]o]_g\`\rbj^`T _gd§ Z5_g\\]bl¥¨cDZSc5^rm9^|¢DfJ}i\`_DQS_D^]U^]c5\`ibdT\`ZibdcSc5p pSZEU"¨C_gi}ioMZi_D\`a ^`c*\]_DbjcDiTVZo]U Uy¦ \]UO_g\rQS^`oro o]UcSbl}ia objo`_gpiU"\]iiU"pSUp cD\]d c9bl¢nbj\`U"\`Q9dQiblQSUe\rc;QS_gcSUZip;_gTVd d§;cS\`pSbjU"a jo blZ5 F\`}~^r^]_gc5a i\r_g_gSSbjbjjjbdbd\µ\µ§§ ! [ Y Z ] o O U. a ] \ j b D c Z @ _DZ_g}~}i^]c5_gahQy\`c }i_D^`_DTVU \]UO^<UOo]\`bjT _n\`bdc5Zblo7pSU \r_nbjdUOpw%Y[Z\`QSUza _Do]UCcni¨idj§cD~o]UO^]DU"p £¥/bd_gUjSZSUzcgblcgo]FU \r¨QS^]U U"UZi¦7_npi\r_gi\`^r_~_nkDibjo`\\`_nblot\`bjoro`QS\]blc a oZ cDi\`o`QiU"_g^`\gUO\`QipUblZV}i_D_y^`Z;_DiTTU"\]~UOUO^`^7ocna"w_go`Z_DTVU|}iU"dUOo`o\]blT bd_n\r\`QU"p\rQS5U §V£_nT lS_gUO\`aho7QScnbl,ZS\`mQS\rU QSZiU|_gTV\`iU"^r_D_nZ . . <>=. Ð <@?.
(32)
(33)
(34)
(35) ! 4. o`~\`o]_gblZS\]blm9o]\`jbjc5a"o c5¢¡cnti\r}°QSU \r_gcDSijU"o`o"U"e^`gYµUO\p¡_gpijo`_nc9\r_i^]UOo`P iQid\rbjo'oybj_nZ°jjc _9 }o|c jbjTVUO^[bj¨\]iUOtpBTV}i_DU"ah^`Qi_DTV_DZSU bj\]orUOT$^|UOc5o]\`^bjT TV_gc;\]pibjcDU Z¡Ca"\`^]c9bj\]~bla Ublor}T$U"^]¶ cD^rTQSUOUOZp TVTVcScSpSpSU"U"F<}i_g^`_DUy^`_D_DTVa \rU i\]_nUO^`jdot§a ^]_gUOZ*}i^]\`UO^rSo]UOd§Z5\`_nU\`bdDUOU|o]\`cgbjT \r_gQS\]U"Up o]U" mDU|TVa"U"_gZ5Z*\r_n\]U bjcDmDZ~bjZ*o \]cU'pi_gU"^`a UyblpS\`U ^`§5 blZSQSm U \r\]QScU"^M_Dah^]QSUO_nbdU"jgbjorUD_n \`bdc5Ziocg <\`QSU P S Q B U g _ i } i } ` ^ D c D _ h a « Q ` \ c i } g _ r ^ g _ V T " U ] \ " U. ^ O U ] o ` \ j b. T g _ ] \ j b D c Z j b ç Z ` o " U a ] \ j b D c Z @ pSc;UOo*o]\`bdj^`U"·;Sbl^`UE_°m5^]UO_n\*pSUO_n cg a _DcDZiT p9}iZ;Si\rT_n\`bdU"c5^ZwkDcn_DtZia p j_Dbjo`oo`U"bjZo"U Y[SZ¡bjio`dU"U a \]blbjZ cDZ\`Q~4 _n\\rUQSU|piU o`bj\`T_gbdS j\`_gQi\]UbjcDTVZiotU T\rQSicSo`p9\tcntU| B}~UO¤M^[ Lc5^`¤ITVUO ¡p_£Sc5bl^TU"i_DT±ahQV³bjT bl¢n_nU"mDdblU QSc;o]4b cS0 p U - ! P QSblo_gdjc o }i_g^r_gTVU \`U"^|U"o`\]blTV_g\]bjcDZ²\]cE~U }~UO^[c5^`TVUOp²TVcD^`UUOa cDZicDTVbja"_njd§DkF5§¡^`U fµio`bjZSm\`QSU orpi_gU"T ^`bd£}S_njU"\`o|bdD¨U"^`ohcD¦T$_g\ cDcgZi\rUVQSU"o`U ^z\ £cn_nzlS}iUO_go ^r_gTVU \`U"^|_gjiU"o QSU"ZLa _gja"Sl_n\]blZSm\`QSU}i_D^]\`bd\`bdc5Z9¨iZia \]bjcDZ«¥/_gZ~p²bj\`o o`pi§SU"o]^`\`bjY[ZSU"Z®T meo]oy\`UOQSa _U \]bj}~cDTVQiZ®c;_gpio` UU l \ro^`Ue_D_DZio \`cDo]blibjTV\]ahbj_gcDQ«mgZ²blcDZibjZ«o _g^`bl\`§ZiQSpSU?}~blQDa bj_gor§Sor\]o`SU"bja"pLU_n7cg5|§¡o]§S}i_o`Qi\]UO_DpiTVo]bjorU?a o"c5kF\`^rZD\`_gQS\`ZibjUVZ;o`Sbjo`\]}bjbj\µcDU"§9Zia b blo"¸Z¡°a\`YµQSQi\U"U _gblo 2Ø\or}~¢5T UOZi_a c bd§9 ¸a Z~UQS\`U"QiU"_go`_g\]\ \ bl T bj Z®% _n! \]}iUOQ5pE¤C§;cD¨o`^`ZiblcDa o`T_nb f \rQiQSbdUOU^`_Dor_g^`ahT QS}Sbla j_gU"o"FTV¯BcSpSUU"}~/ ^]UOo]UOZD\ ^`U"orSj\`o orQSc blZSm \`QSU}i^`cD~_gSjU'}i^]UOo]UOZia Uycg7_}iQ~_go`U \r^`_DZio`bd\`bdc5ZeblZE\`QSU ¯Lo`U m5U TVÀ7pSblU"U"ZiZ5TV_n\`j_gcDd§D\]Z~bjk o]cD\r Zi^`U o_g\]pS}iUc*^]UO\rZiQio]UOcg_nZ5\ \ \Ca \`o`QSc5cD^`U TV^`U" ¡U|or}v|^`U"cDsorZiSpU"d\ro`\]ot\]cblcgT \rQS_n}~U\`UOU"^[pSo UOc5io]^`blo]TV^]blUOZSblpm?ZSm^`\`U"QSo`orU UVSm5j}iTV\`_go"U"C^rZ5_gP \`TV_gQSU"\]blbj\]o cDU"blZi^rZio o pSUO bla o]bd\`_g\rbj\]Q*T U"o \`_gQi\]\`UU"Qip¡_gTV\ ¨cS^]\`c5pSQST±U UloCT\`piQScSbjU orpSa ¢;U"ijZSo|orc o`_gU" ^`pwZ U Zicg\ x5a UO_Da }S\`\`bdc5iZ ^`blZS% m a \`cDQSZiUa jpSiUOpio]U"bloz^`U"\`p?QiUahQi^]_gUO^r}~_gc5a ^]\]\"U" ^`blo]\`bja"otcg \rQSU'bjpiU"_n<o`U m5TVU"Z5\`_g\]bjcDZio" . . M
(36) % .
(37) M ? £ % # & . * . &
(38) Y[\`T c'i_gmgZiU_gTo`U SmDbjTVmDSUOc5ZDi\r_no]j\`§bdc5pSZU ¸blo|ZSUz_DZE\`QSbdU jdfJo`}U cDm5o`TVU"pEU"Z5}i\`_g^`cD\]bjScDjZ U"T? k \`Qi7_gY[Z\|bl\`o QSkblo\`QSa U_Do]p~UM_nbj\`\_*bjobjZEZSUO\ra QSUOU"o`T or_go`^`U §'jg\]U"cyobl_gZD^`\rU'^]cSbjpiZ~~o` a :*U o]a c5bdUOTVZDU\ _D pipS bj \]bj cD Zi
(39) _g1 blZ; '
(40) c5 ^`T _n\` bd
(41) c5 Zw dk Y[Z* bj\` ozkSTV\`QicDU o`\to`U mgm5UOTZSU"UO^rZ5_n\`~_n3 \`cDbdc5^r! ZT?o`k5Qi\rcDQSSblotlpebloMcnU \] UOZ*\rQi _n 3\ blZe2 o` cD TV U o` U" Zi o`1Ug ) P #6 QSbloM dUO '_g pio Z~_g\]_n\r\`^`~_D^`a _g\]dbjjg§eU\`¨c*^`cD\`TQSU_9io]a UcDT cn}i 9S\r{ _n\]ÀbjcDo Z~_g_no \r}QScgUblZD}i\y^`bjcgcDM^roz;bjcDU ZEk%\`Qi_DUoypS\`U"QSo`Ubl^]mDUOdp9c5io]_nU"mDTV}i^`U"cDZ5}\`_gU"^`\]\]bjcDbjU"Zwo'zpiP U"QS^`bdUODo]U Uo`TVcgjcSU pSj§EU"jo¨^`cD_gT^`U jcSa _gwbjZ5\]UO^`_Da \`bdc5Zio . !#"%$ & (')*$. lbPTVT QicS_nbjpSo7mDU"Ubl oblcn\`o Qi'\`U Qio]\rU'o]_nblT Y[\]o]blo`}SblZS\]dblUOmEa o]_n\7¥¨ blZ?c5}~^`\`QDT QS§SU'o`cnbja a"w_Do 9ço]Uy{ P cgÀB QSU9S~blo]Zi}iUO_g^`pcD^`§ebl~ZV_go`SbjU T bjm5dbjT_g\µmg§ UOU Z5cgo]\`U"_nmD\`\`bdTVQic5U¡ZiU"Z5oho]¦\rU"_nc5mD\]^zTVbjcDs U"Z<Z5cD%\`\]P_g\ro'\]QSbjcD¥U Z®c5TV^z\`cS_D\`pSQS¢DU U'blSZSmDm c5U"^7ZS_°UO\`QS^`a _gc5U#Z;o]+9¸~U"mDmDfJTV~a cg^`U"_gjZ5cD\]\]bjicDUO^hpZ ¦ ,-/. blo mgbjgUOZe5§ ?@ C2K F ¥]¦ 021
(42) , 3 4%5%6 8 7 4BA CEDGFIH1J J 5MLN 14%5:9<;>= Ð%бäLKM NOQP.
(43) . ! .
(44)
(45) .
(46)
(47)
(48). ZiU"Qi_gU"^`^`U"U o`\[fµZSU"bdm5¡Q5bjZ~cDpS~bja"^`_no%\`cDU"^ oy%'\`Q~Zi_nU"\'_g^`\`U"Qio`U*\[fµZSo`iU"T bdm5Q5T _ncD\`~bdc5^`Z²o7_gbl^`oyU c£igo`UOU"^ypwZS7U P bjmDQSQ;blotcDpSiblo]^`\rbj^]Ziblm?iS}i\`_gbdc5bj^rZ o"VTVP _§V^`_D~pSU bj\]bjcD^`Zibj_g\]\]djUO§¡Z\`TVQiUcD^`@ U blZio`\`^ria \`bdDU j§e_go ¥3 ¦ 021
(49) , 3 4%5 6 8 7 14 y¤ 1,%5 5 14 5 9<;>= \rQiQi_nU"\ ^`U\rQS Uy}i¤ ^`cD1i, _D5 Sblbjo7dbj\`\µQi§UzcnZ;i_ T^]~UOUO_n^ jbjcnor_nF\`Qibdc5cDZ*TVcgblo mDU"_ZSmDU"dcDc5iio%_na ,j¨bj~·;ZiSa UO\`o7bdc5bjZZ\`cgQS%U \r^`QSU"U_gd^]blUOo`_g_n\]jbjbjorcD_nZ \`bd, c57ZwP QSbloo`Qic o%a dUO_g^`d§ UO~_g_gahSQ²P bjdbjQScn\]U*zbjU"\`o"o`QSkU"Ua cD c5Zi ipLmgo]UObja g^]c5UO£T Ze_DS}~\rdc5QiUVZS_n£U"\ _nZ5_l\yS}SU"cnbd o S U _E<¤Co]blU"ocDmDZ~cgTVpS7bdU"_ \`Z5bdc5\`}i_gZi_D\]_n^]bj\`cDbjZBc5a"SZ²Tj_D\rcS^QSpSU*a U"l_go`U orblmDo oykTV\] c¡UOQ~ZDpS\r_n_nU \ ¸\`blbdZSoc5UZw\`QSkw\`UQi\`QSU*}~blo^]a c5lpS_giorbl_go`o S\`^`a bjbjjcDibd\µZii§*pi\]bdbjcg\`cD bdZLc5bjZi\ _n_n\r\'_gU"¢5}i_Dbj^`ZiahcnQm f \r}iQSb SUeU _gc5^`ibjUVo o`U"i\`^`QSorgiU*U"_gpBTVdj§e£U"_n_D\rlZB_gS¢nUg_DUO k ZiZe pLC \`k7c*£bj_go~^`U'bjpi_D^rblZiZi_ a pS U UOZL}~_gorUO¨o]^]ZicSc5pSa T UObj_gZD\]\|_9U"cnp m5%_gbji\`bdo|or\ro`QLZSbj_DU \`ZBbjQSmDU*Q;pSbla o`cDj\`_D^`ibjo`^rio o i\]v bjcD_nZw\a kcD}iT
(50) b STVU 1 cDÛZSj§eP iQ;o`i5U"o"pE kTVQS\`QiUOcSU ^]pSU U } cDbjo`o \] UO\r_g^]QibjZ~cD_np \^ J pibjo`\`^`bj~S\]bjcDZecD^z\rQSUo]U"mDTVU"Z5\r_n\]bjcDZblo 0*1, 3 / 4 . 5!. 14 8 17 % 4 5:9<;>=. y¤. 1,%5 5 021
(51) 4%5 0*1"#$ 5. C K 5/. %'& C ( )+* 7 9<;>=-, ) 0 ¤Cc5T Tc5ZSj§ \`QSU¡}~^]bjcD^ro 0*14%5 _gZip 021 #$ 5. ¥/W5¦ _g^`U\r_g¢nUOZ«\`c ~U ~ZSQib U"c5^`U ^`T / _gbjoZipE\rQSQSUEUOZicDa iUyo`U"bj^`mDgZSUOc5p«^]UOpipw_g \`_~ ¨c5~iZiZia \`p bdZic5ia ZwUo`CbjZi\`PQSmU o]}~blcTc5a o]ScD\`lT U"_n^`\`TVbdU"c5p ^ cDZ?_gQ~Z~_ga ZSoc5U"o]_g\zU dUO¨blZS~Zm ZipSa ¥JU \`x;¸bdc5vyZiZi¦ÛU"o kDpwcD^`kDU"^"\`orkgQSSTVU|d\ cDo`U ^`blZ?m5UzTVZ~\`QS_nU"\`Z5U~\`T _g^`_g\]_nbjdcDj;§ZblTblbjZVo~\`T}QSU"U ^]_£fµa"cD}_g^rcDo`TVU o`\]U"cnU"pV,^`bj5bjcDT §^`b _nTVmD¥ ¡bjU Zio]bjv U"TVmDszblTVo]¦zblU"ZSo]Z5cDm\`ji_y_g\]\]a bjbjcDcDc5ZwZwo]\ kk \r\`U"QSpLUT Z;i_nT;blTU"^y~T cgzcgTV7bl\ro`QSa Uj_D}o`o`cDb o`¸\]U"UOp²^]bjcD}i^|b STVU l_Do"^]kwmDbjcDZ~i_nZ~lopLo]5cD§²jS\`~bdo]c5blZ°ZSm9¥/ 9_EsC ¡ B_g¦^r¢n dc£94 ! ahk Qi _gQSbjZBblahQ9 9TcDZ5bl\]ZSUeblTV¤Mbjo`_DU"^]ojcB\`QS¥ BUU ¤Mi B}~UO¤ ah¦f _gdmDcD^`bd\rQiT? 1. . 21 3>". 3 ! 1 !#"I$. ('*$. Y[\rZ_n\`bd_gc5ZZ _n\`\]QSUOUOTVZ }ii\Vo]UO\`c°p bjZ5bd\`\r^`QcSpioriia ;U?fJcDj}icDZi\]blmgTVU"_g^]fµ ^`_DpSZSU mg\`U"Ue^rTVpiU"bj}ZSblU"o`Zi\]pSbla9UOZi_na jbjmgU"cDo"^`kMbj\`\]QicLT bjo"T kt}i_g^`Zic£pgU?\`c\`QS_nU9jd^`c U"orSTVj\]blc5ZS^]m UEo]U*U":*mDTVa bdUOU"ZDZ;\f blT _g}SoMjblU"Z5TV\`^`U"c;Z5p~\`_gi\]a bjUOcDpZ«bl/ZcDZ }i_D^`_gP djQiU bjzo _gbl^ro ah_QSbjpS\]UOU"a g\`U ~jcD^]UO}~o Tk7UO\`Z5Qi\CU?cgQS bjU"\r^rQS_gU ^rah QSbla _g !C TV
(52) cS pS_nU j mgcDpS^`blo`bj\`a"QiiT oro]UOblpZ bj Z« % \`QSblo o]UOa \`bdc5Z P QSU_nblT blo\]cpiU ¸3 ZS! U _TSj\]blo`a"_njU }5§;^r_gTVblpwk QSUO^]U _g\o`~io]UO·;SU"Z5\jU gU"jo\`QSU|o`b40 U ! blo^]UOpiia U"pwk bl\`~ZEco`i\`bl_gZiQidpiUj§²~cDa ^`5UVbj§²mgdblc5Zi_ZS_n¨mg_gUOTVa ^\]c5c5^rZS_g^yZScDcnormDza U_g\ pSdUyUOc}~ c5UO^`ZivzTpS\'SU"Z~UOj_g_ga \]bjahbjU"QBcDo"ZwdU"zÀ7g³%U"bdm5bj/Zik<i¢;^]\rUoQSU*~U"_nbj\ blj TjiU"o`U"bl\`oyZE^r_n\]\`\`c¡QiU"UoQ~\`_jU QSggUUVU"j}5\`oQS§S_gU*^`^`_DorU'TV_g\`TVbjQSp¡U UO_DZ9U"ZiZSblp¡ZDUO\r^]\r^]mDQScS§EU pi~¨ia bdZiU"\ra pEQS\]bjbj\`ZLcDc*Z _g\`Z~^`_gp§ o U \ ¤CU c5UOZiZeo]bljpSU UOD^|U <\rQSZS5UU"bdm54 Q;687~c5i4:^`Qi9<c5cS; p?do]U"\rg^`~U" a \`cg~^]\`UDQS U}5§S^`_DTVbjpwk QSUO^]UdU"gU"$ ;bjo \rQSUc5^]bjmgblZi_g%jU DU yP Qibjo a cDZio`blo]\ro7cn = cn,o]b40 1 U>8? % 5>8?k QSU"^`U@>Fbjo7\rQSU|oriior_gT }SjbjZim¨_Da \`cD^"%PC§;}ibja"_njd§A> 6 ) 7PcpiU ¸ZSU <>=. Ð <@?.
(53)
(54)
(55)
(56) ! -. n=2. n=1. n=0. 7À bdm5i^`UV U bjmDQ;cDi^rQSc;cSpo`\`^ria \`i^`UycDZ\`QSU}5§S^`_DTVbjp \r\rQSQSUyU*U"a ZSjblUO·5^]imDU"§ o'¨_ni\'Zia jU \]DbjcDU ZE ;9_n\z_Dj^]U UgU"T _g4²}ibl}Z?U"pL\]U"bl^rZ5T \]cEozcn\` QSU\`QSo]U'\r^`jiU Da U \`i ^`4BUS_nj\'cSahjU ¢;Do U kSbj\ 4bjo ZiY[Z°U"a \`UOQio`orbjo_g^`o`§ \`~\]pSc§ a c5ZiUo`bja pScDUOZ~^ o]QSblpSc U" ^ c5c5ZSZSjUy§¡cn}i _n\ bl^ cbla o`_gU\]blU"ZDmg\`cDU"^`^rbj_gU"a oz\]_nbjcD\zZijo U g_nU"\ d4 U"gU" 0"U"^`c v|ZB_gpu]_Da U"Z5\y}i_nbl^ cnC}ib SU loy_n\ dU"gU"7?T _§E¨_nj7bjZ5\]c g ~cD\`QE}SbdSU lo T _§ ¨_nj _o]blZSmDdU'SjcSah¢ 3 z\`QSU}ib SU lo T _§ ¨_nj<c5ZeblZ5\]cU"_DahQ*cg \ cZSU bjmDQ;cDi^`bjZimVSjcSah¢;o vz'\a cDdU"Z5g\`U"^`bj ~4 S\]\`U QiUSjcS\]c ah¢5\`o QiU'J C? U"ZS_DUO^]^]UmD§ _nj¨dcSia Zi_ga \]\`UObdc5p9ZE_*_no]\ blZSjU mDgdUVU" a 4l_gorPo QSPU"^`Q;U'i_go"^`kwU _nj%a jbl·5iU"o|¨_njdblZSm*blZ5\]ca"_n\`U mgc5^]§ 4 0. ?. ) >? 1>?. 6. K. 7. 5. oriahQ?a jbj·;SUOozbjZ?UO_gahQ?SdcSah¢Fv jcDZSm \rQSU'U"pSmDUycn7U"_gahQSjc;ah¢e\`QSUO^]U'_D^]U . ?. 6. >?. a dbl·;SU"o _g\z\`QSU'c5^]bjmgblZi_n,jU DU P Q5~oz\`QSU'UOZSU"^`mg§ ¨iZ~a \]bjcDZE_g\ dU"gU 4Bbjo ? 1, ? 5 6&4 1 ? '¤ 1, ? 5 5 4 0 ? ( 1 4 5 QiU"^`U ( 1 4 5 bjoz\rQSUZ;iTU"^zcg7SjcSah¢;o _n\zdU"gU" 4®¥¨cD^ 4 9 ;5¦h ä OÅÑ èßãhß[äß[Õ/ÚÛ ì
(57) `ÚÛ×/ßÖØ×<àß[×
(58) [Õ/ÖØánß[àyÖØ Ð%бäLKM NOQP. ¥@ ¦.
(59) ! .
(60)
(61) .
(62)
(63)
(64) %. rblo Zia pS_gdUOvzU}~\zUOTZiU"cS_DpSpSahUOQ*U"ZD/\ yjU m5Dvz_gU \|i,orj\`U o`QSbjD_DU U Ze$cD~4TVo]cSUO\`QSpS^]DU U U"wpSjc5cSbl^zT ah\`¢5_nQSomgUUy_ga ^`pijU_D_gU o`\`oz_i}ia bjoz_DcDZiZi_npSpSlo`UObjc\]p¡bjcDblZiiZ~a _g_nlah<i¢?}ipS^`\`UOcDcep*i\`bl_DZQiSUbj_VdcDbj\]o`^`bjbjbjU"TVmgo blbjZij_D_D_n^]^M UyT o`ia"o`_D_nU"ZijpwUgZSk, U"_g^MZi\`p9c\r\rQSQSU"U'ZBTo`c5_DZSTVcnU f bl4¡Z9Q~\r_gP QSoCUQScDUyQSZSbjpSU U"b1^r"F}i_gUO_g^r^]ah^`UOU"QSZiZ5bla a \CU _g_D~ZiTVU"p'\ c; > piU"U U"ah ZQS bj\rjUp~QS^]UZiUOc QiZw bd7UOÂt^`bl_DZ5_g^`\`ahah^`Q*QScSblpiora ii_ga ah~UQ*TVa a cSjdbjblpS·;·;U SSwUOUy_goZ~a cDpZ5U \`\\rQS^]blU U iUOTSZE\`SU"\`joQS\]bl?\Uora d]_nU"cVjgU\`U QilTVo"U cSmDpSÂtdU"c5_giahblQ²_not\rSU"QSdZScSUUOah^]¢?cgmDj§_ndc \ cg jU bl\`ZSDQSmU U UOc5Z5Zw\]bl^]P U Q;}Di§Soz^r_g\`QSTVUblp}cDb o`\]bd\MUO^]blbjoMcD^zQi. cDpSTVblo`\`cg^`mDbjU"iZSiU"\]cDbjcDiZeo|¥ cD0 ^zUO^]\`cQiUcg\ro]QSU"U"mD^ TV U"bjo`Z5U\`¦ _g\] @bjcD: Z ) }D §S ^r _g @
(65) TV blpwcnki_g orQSo`bl~ahTQ*bljZSU m DU i,ZSbj\CbdcDbloz^rT o]bj\`}ii^`_gbd\]c5UO^`p o c5Ze\rQSU}i_D^`_DTU"\]UO^`o"k;bjo 0*1, 3 / 4 . $ . 5:6. 8 14. 7. . . 5*9<;>=. A. ?. 4. . ?. y¤. 1,. ?5. ?. 1 . . % & & C ( ) *7 ?. 4 0. 9<;>=. ( 1 4
(66) 5 . . . y¤ (z³ 1,I5. K. 5/. ) . ¯}5§SQi^r_gU"TV^`U bjp< %yP ¤ QS(zUM³ ¸^r1,%o]\75 \`blU"o^rT \rQSbjU*o7Z;\rQ;iiTo7\`U"QS^'U cg}i ^`bjQScDcD^ TVcDZcgmD\`U"QSZSU U"}5cD§Si^`oy_Da TVdblbj·;pwSknU"_DoZipU \`\ QS U U o`UOU"ZLa cD\`ZiQSU*p\]jU U"D^rTU loyblZicnpS bl\`a Qi_gU\]U"o7U"Z5\r\]Qibl_n^]U\ _g\7U"_gahQdU"gU"/kn\rQSU }5§S^`_DTblpblo7U i}i_DZipSUOpc5S\7\]cy\`QSU c5^]bjmgblZi_g5^`U"o`cglS\]bjcDZ<kn_gZip\`QSU a cD^r^]UOo`}cDZ~pSU"Zia U bj\`Q?\rQSUpi_n\r_Vbjo T _gpiU_n\z\`Qi_g\ ^]UOo]cDji\]bjcDZw Á % #© #
(67) h& ySU \]c?\`QiU o`\`^ria \`i^`UcgC\rQSUTcSpSU"joypSblora ioro]UOp²_D~c£DUV_DZi_nj§;\]blaa cDT }iS\r_n\]bjcDZ~o_D^]UVbjT }cDoro]blSjUgk _D_DZi^]U'p \r\rQSQSUU § 9U"_g\`^`^`U*cD}blZicgo`j\]bjo]U"fJ_Dp _go`o`bj\]TblZSSm5joy_g\]¥/UO Ep fJyio`¦ bjZS_nmBjmgcD B^`bj¤M\`Qi BT ¤ O_gSdmDkcD ^`bd\r_gQiZ~T p?o _e²o`P }QiU"a Ubj_gTV%cDa o`_D\ o]UD kiU \`jQiMU ¢;ªZSc bli iZ°o|cgor_g T \`QS}SUOjo]U"U^ ! 4 ! ¡Y[Z \rQSU bl^iori_gtblTV}idUOTUOZ5\`_n\`bdc5Zio\`QSUOo]Ue_gdmDcD^`bd\rQiT oi}Fpi_n\`U_¡o`blZSmgjUe}SbdSU ¥¨cD^U jU"TVU"Z5\cg \r~QS}Upi_g}5\]§SblZS^r_gmTV_gbjdpFmD¦ycD^`_nbd\r\Qi_¡T \]oblTa _DUDZ ¡\`_gYµ\¢gU|Q~_'_goDU"^`U"§a cDjcDTVZSUm'TV\`bjTVc5^]UU \] cbla pScDU Z5j§ gUO_g^]}imDUg}~kn^]UOoria blah_nQ \]UO\`p°Q~_n^]\tUOa \rQSU"Z5U\`^`d§LU"_g\`dblQior_g_n\\]bjcDo`bjZVZimgblojUe\r^`o]Sbj\]j§ U ^`U"}~^]UOco]UOZDU"\rg_nU"\`^"bdDk,U|cDcn^'7o`\`blQiTUSpSl_nbjo`\`\`bj^`ZSblmEiS\r\]QSbjUcDZ?s7cgU \]\rblZSom*TVo]cS\ripSpSU bjU"\rp QSU dgx ! U"Zip~o]UOZ;f¯°_gZimB¥µx5¯1¦y_njmgc5^]bj\`Q~T _DoypSU f ¨D^`U U jU"cDd}§ U"pwk bj\` QSQSblZ9blah\rQ9QSa bjoycDZ5pSDblo`U"\`^`^`mgbjU"io i\]^rbj_gcD}iZwbjpSjYµ§e\\`blc*o_D\`QiZ9UU U"i·;_DSTVbjj}ibjidU^`blcgitT´ _gZ¡pibjo`_D\`;^`Sbj~bdjSbl_g\]bj^`cD§Z¡£_D_gZi^`blpE_gS\`jQiUU"Z9_njmgTVc5c£^]bjg\`UOQ~o T^]U"| j_gY[Z¡\]bjg\`U"Qidbj§ o o`p~U"_na \`\]_?bjcD¥/Z \` QS U'U U ;\`bjdU"wZipSo`bjUOcDo`Zea"^]blcD^ U|o`\`bjQiTUySx5j_g¯\]blZS_gm dmD\`cDQS^`Ubd\rQiQiT bdUO^`_DcD^`^tahQS~blo]a U _gF TVQSU"cSZpSU"o]<blTbjo|So]l_n\r^`\`_gbjZibdm5mQD\`\]QScDU ^ s7cg_D\`^`\`pFoM¦ÛT\rcSQSpSUU"x5 ¯ bd\r_nQSjcDmgScg\f ^`Q~bj_\`gQiUyT ~bjU"ZEU"Z?bj\`objZ5i\r^]_gcSo`pibjaia c5U"^`pT \]c*bjo|QSdU"UOjo`}Eo _DiTo`U U"¨idbjcD^r _nQS\`UUOZ9\rQSo]bl\ro i pS§;bjZim*TcSpSU"jo bd\rQ9pi_n\r_ 'i bl9Z O ! TVcSpSbd¸a _g\]bjcDZio P \ QSblU'o|blpipSU"UOo`_Vbj^`U"p?U"Qi\]bjcZip9o]blT_D;SSlbd_nj\`bl_gU^`_*§pS_Dblo]^]\rbl^]_gbliidSUy\`bdTVc5ZU \`Qi* c;p~o Mbjozv\r;QSSUybdjblcg_gj^`j§ec £bj_gZS^`m bj_D SjU"o _g^`U'bjZ5\`^`cSpiia U"pwk bj\`Q µ Y a\r QScDUZipipSbdUO\`bdo]c5bl^`ZiU"_np9 T pSbj_go`\`^`^`mgblbliZiS_n\]<bjcDpiZ bjo`\`* ^`1bj~ S3 ,%\]bj5 cD|ZEP QSc5^blo|mDbdcnD U"o * _1,%u[5 cgblZ5x5\blTpSiblo]j\r_g^]\]blbjicDSZE\`bdcnc5Z \r*QSbj1o, pS blo]5 \r^]6 bliS* \`1 bd c5Z93 ,%bj5 o|* mg1,%UOZS5 k U"^r _nbjj\`dQ§ , 1
(68) ,%5 <>=. Ð <@?.
(69) .
(70)
(71)
(72) ! . }~}U"^]pi_gcD\]^rUOTVo U"a p?_g~5o]§eU'_n^rj_g\]UO}S^`blpZi_gTV\]U"bddS§ebjZS~m}piP _g\]QSblUZSm ^`U" _njbl_go`Z~_gp \]bjcD, Zi¶*oCcn\`QSU'bl_DpS^]UOU _V\`QiU cDblo`ZSUympi\`U"c*o`bjpS^`U U"¸pwZi U * 1 3 ,I5 oriahQ?\`Qi_g\ \`QSU * 1 3 ,I5 bl, o<pSU ¸ZSU"p'oriahQ \`Q~_n\<\rQSU C F _g^`U7bjZipiU"}U"ZipSUOZ5\ k À D c w ^ r \ S Q M U 5 x ¯ n _ j g m 5 c ] ^ j b ` \ ~ Q ç T ` \ S Q C U S p j b ` o ` \ ` ^ l b i S ] \ j b D c Z _DZipbjo K CF C F CF C F ¥ 4DF ¦ 021 3 ,I5$! 1 4 Y J 6&J M5 Y ; 14 Y J 6 J
(73) 5 CF C 9 ; = 9 ;>= _DZiQipU"^`Y U bloz\`a QS_DU'ZBblZipSUbla a _gcD\]Z~cDo]^MblpS¨U"~^`ZiU"a pB\`bd_gc5oyZw_?P a QScD Z5blo \`bj^]Z;UOSo`c5iid\ro oz2bjZ cDZip w_D^]bl_gidU ~U"\ U"U"ZB\`QSU}SbdSU lo J _DZip J C F. * 1
(74) , 3 5 ! CE& DGF Y ; C F ¥/5¦ 1
(75) 4 Y J 6 J M5
(76) 9<;>=. ¯Q~_Q~gU_n\pSc;U"o7\rY QSbjoC ahQicgblF a UMcn9 Fpibjk,o`\`cD^`^bj~U"S·;\]SbjcDbjZ_gmgdUObjgZ5U\]j§gik o EC ¤CcDZio`Fbjpi'U"P^`bjQ;ZSim|o ¸^ro]C \F 029 1 C F a 3 ,%cDZi5 k£o`\`c5^r_n^ blZiC o F 9 C 7_gZi p U TF i\]o]c \ cg UybjZeC F 9 \`9; QS= U'1
(77) or?4 _gTVÀF J^]Uyc5To]6 \r_n\`J\]QSUDUt M5 a ¤CcDcDZiZ5pi7 gbdUO\`bd^`c5o`U Zij_n§gwk5pSb blo]J \rC^]bl_giZ~Sp \`bdc5J JZ?F bj_gZ?6^`UU"J ·;blZi_g\`\]QSbjUycDZ o`_D4 TVU U'o`\`Qi_g_\]D7UgU k \rQiQ~_n_n\ \MbjoM\`QiUyJ }~^]c5i_gJSbjjbd\µ§ 7 K K CF C F 9 3 J 6&J 5I6 ¥ -g¦ 0*1 1 4%5 7C F 7 9 ; = x_D;objZiSa blUZi_gbj\y^`§bjo c5cDZSZidpE§9£blT _D^]}~bl_gc5S^]\rjU"_go"Z5\ À ^`cDQST U \rQSU"U"·; ^ i_g\]bjcDblZ oy-mD^`\`U"QS_gU\]UO~^ c5cDZi^ p?jU"or_Do|^]bl\r_gQii_gdUyZBblcDo|Zi}iU ^`U" o`U"UVZ5T \ _~§EU"\ \`QiU"bjU"ZiZE¢¡\ cntc\rQS}SU b SU"CjFo blZ¡U \ \rQSU UUOo`Z²_DTVZSU"Ubdm5o`Q;\`~_nc5\`U i^] blZSbj\`m?QB}S}ib S^`cDU"jio _DcnSCbdjbj\`\µQS§ U 7 o`_DK TV9<UV;>=o`\`1 _gK \]4%U 5 bd\rPQ²c?}io`^`_DcDTVi}i_DdSU bjd bj\µ§ \`Q;iK o bjZ5DcgjKgU"o }S_gl_gZ~a p¡bjZScDm?TV~bj\]c5\`ZibjZSpim o cDZ~ pio ~U"\ U"U"ZEZSU"bdm5Q5cD~^]blZSm }Sb SU"jozcg7pS1b ",U"^`bjZSmo` \`_g\]U"o" * 7 9 ; = 1 4%5 \`c5bdc5^`ZiT o Zia la iQSUyo]U"\`\`^`U"QSU'^rU'o ~cnc5cDwZiZia pScDpiUOZ~opZS_D}SU"^]bda US\]U U"bjZ?lpVoz}S}S_glbd^`_gSUa U UgcglokS%_g\`\`QiZiQiUypVUya or_gcD_gorZiTVo]bjpimDUybdZ\`o]bdc5\r\]_nc'Zi\`_n_nUywji_DpS}S^]blU o]bdS\rU"^]U bl·;lio7iS_gcn\`,dbdjc5§*\`ZQS}iU ^`a cD1
(78) l, ii_Do`3 \]SUO5jUg^7or\`_QSP§;U oCQ;ori\`_gQ~oMTV_n\]\ Uc_no]ij\r<}F_na pi\`c5Ug_nZ;kg\`ah¸~U QSmD, c5~o]^` UO_nZ U f ~ahQ~ZS_gb ZSc5mD^`U TVo`j§ \`_g¨\]^]Uyc5_nT \z\`U"QS_DU'ahQ*_njbjj\]c U" ^r_nUO\`p*bdc5o]Zw\r_nki\`_nU"jo"jc 7P bjZSQimbjoz\`orQSahU'QSU" ¡TV_DU^`¢g_gc£djc ahQioM_n}~blZ*cD\]\`U"cVZ5\`U bji_gd}Sjd§c5^]j_DU ^]\`mDQiUUya pijibjo`o`\`\]^`UObj^`~oCScn\] bjcD}SZeb S¨U"^]U"joMU j\]§gc À D c V ^ ` o. T n _ j 4 \`QiUjbjZ~¢5o bjdMcDZid§ ^r_g^`U j§BU?}ij_Da U"p<kt^]UOo`id\`bjZSmBbjZ«_²l_g^`mgUeZ;iT~UO^cg|o`T _gd a j~¥o]_g\`ZiU"p¡^ro U"zorY[}~Z9UOa \rblQS_nbjjo d§ a _Do]Ua jo`cD\`o`_DUZi\]pice_D^`\`pEQSUVo`bja ZS^`mDbd\`dU bja"fJo`_nbj<\]U£_nilS}FU*pi_g¥\]o]blU"ZSUmeo`_nU"a jmg\`c5bdc5^]Z9bj\`Q~5TV¦`¦zo|\`_gQi^`UUbjT TV}icD^`^`U'c£gU*UO:*pEa TbjU"c5Z5S\ |bjdbjÀ~\µ§cD^ cgj_D\`^]QSmDUU 4 x;¯_gdmDcD^`bd\rQiTTVcD^`4 U \rQi_gZEa cDT }~UOZior_n\]UOoCcD^z\`QiU'U S\`^r_ a cDT }ii\`_n\`bdc5ZeblZ5gcDdDU"pw "% "I$ 31>).
(79) ( . * ') * .
(80) ( . 2"%$#1 " 1 ) >! " "% '$#. 3>) 21 3 "$3 ! 1 !#"%$ (':$. jjP%U U cVDDU U bjlT o\r}S\rQSQSjUeU"U TVU"cDcDZ5ZiZ~\ p~pio\roCQS_g_DU^`^]Ux5U ¯}S}Sll_g_g_ga a dUOUOmDpp cD^` bd\rbdbdQi\r\rQeTQ }i}i^`cD^`cD^McD~i\`_g_DQiSSUybjbddjQibjbj\µbd\µ§ UO§ ^`_D7 ^`K ahK QSbl9 a ; _g= FK 1 TVK cS4 pS? U"5P wk QSbjozbloQio`\`U"c5^r^`_n^`U T bjmD4 Q5oM? \[Wc56 pS^ bl TV4 _g U"^r? Zipwko`bj_gcD¯çZiZip°_gbj\`FQia bjU jZ?i\ o`U"\]_DU UOUOah^`ZQ o c5Ze\rQSU}5§S^`_DTblpwk QSblahQ?_g^`U \r QSU"ZEa cgjcDi^`U"p^`_DZi7 pScDTV9 ;>j§g= 1 5 1 3>" 3 ! 21 !#"%$. . ')*$ . \rQSU"U^`U QSbj U"^rU_g}i^rah^]QSUOo]bla UO_nZ5,\ TVo]c5cSTpSU Uo`¥¨bl¸~TmDS~l^]_nU \`bd@ c5¦Zio c5cn^z\r_DQS^]UbjcDs7~cgoz\`\`_go|jiTVU"cSozpScnU" <cD_g^ Zip _D^] bjcD~o £_nlSU"o cg 4 ¥¸~m5i^]UW;¦z_gZ~p 4 Ð%бäLKM NOQP.
(81) O. ! .
(82)
(83) .
(84)
(85)
(86). À7\rQSbjmDU i}S^`bdU SU 3 lto x5\rbd_g\rQV^`\]bl}~ZS^]mVc5i¨^]_gc5ST bjjbd\µ_§ iZSK bdcD^rTK blTV_gmg¥/U QSUO¥¨\`^]cDU }?jU \Û;¦hk~gj¦tbjZ~¥¨¢5\`cDo } _D^]^]U'bjmD}SQ5l\h_g¦Ûa U"¤CpjibjZ~o`pS\]UOU"^`}oU"_DZi^]piUCU"Z5cD\]^rj§TVU"pVU \ i o`U bjZSUOZm \r^`QSbjmDUQ5\Ûjbj¦hZi%¢;v o j;¥ T\`QSblUzpipS}SjbdU*SU jlU o\hblZ¦Û?_ a lZii7 a o`U \]U"9<\`^ ;>QS_g=U*^`1 Uta ja i4%cgo`5 j\]cDUOi^`^`o'U"_Dp ^]4U bjbl6\`Z°Q}S\`QSj_DUza orUD_gk<TV\`QSUCUe^r_gdblZiZipi¢;cDo'TVa d_D§yZBahQSc5U o]UOcDZ^`mga cDcDd\]c5\]iUOZ«^¥¥~TVcD\]bjpi\]c5piT dU jU \h¦ÛtP QiU¸FZi_n<blT _nmDU orQSc oz\`Q~_n\ blZ?_ o`bjZimgjUy~ }pi_g\]UDkigUO^]§*T _gZ5§e}ib SU lo a _DZEahQi_gZSmDU o`\`_g\]U. <>=. Ð <@?.
(87) D.
(88)
(89)
(90) ! . \r~QS}blpio _gT\]cgbl\]ZScSU?m°pSU"\`_nQ~ j_nmgbjoV\cD^`cgbjcD\`\]^QiU"T Z\`QSU?a dc5l_ns7ZSblm²cgTV\]U"UO\ro p®ZScDT\]ic cSmDQwpS}iU"°^`zcSÀ~pi\`QSc5i^UEa Ue\r^]QSUO¶ UE_nj\`bjQSQSorbd_nUOUO\`o]^`bdU9_Dc5^`Zi_gaho^`QiUEbjpia"cB_g_n^`tZS\]TVU cD¨\V_DcSa pSor\rU QSoc ktcgZS cD\`ZS\]QicDU?U?\ \`iQi^rZii_gbZi\c5Zi\r^`bjQSZST UEm°}iQS_°_gbdm5\`o]QSahblZSQSU"mD^UOdoUEjU \rgo]QiU"bj_n\]jU\o cgcg| \`QiU?\]c }5§S}i^`^`_DcSTVpiibjp a U ^r_g}ibjpS¶«j§ U a Dc5U"ZDZDU"cD^`^emgU*o`T \`cB_njc5 ZS£U_nla ScgUOjcDo*icn^V _go k 4 bjo ^`^r_D_n}Sblo]bjpiUOdpw§® \`P _g¢gQSU"bjooVblc5o ZpijS_DU?^]mD\]U?cL£\`_gQSjUESUOo`oea"_n_Djo bjZi4 m blblZioa"bj4^]ZiUOa"_g^]o`UOU"_go"o`%U"p?P QSjU U g}iU"j_go^r4 _g^`? _DTV}SU bl\`pSU"d^§EEaU mgc5blZ5Z9\`^`\`cgcloa \`jcDQSo`UU jbj§EZ ^]SUOU"o]UOZ~Ta US4 orjUia"4U"a _D? U"ahorQEo`bdDcgU \rQSdU"U"^"g|U"jPoCQSQibl_o|gU\`bdm5c5Q5Z\ U"d_DblZiahQ ¢5blcgZS\`mQiU"^"U \ vU o UOZ pDiU"#b ",^`§9U"^`U"U"_DZ5o]\bjdU"§DdVUOTP UOQiZ5U\`o¸FZicn_n\`QSblT U?_n}5mg§;UV^r_gc5TV^yblp \`QSa U_DQSibjo]U"UO^ro_g^ro`ahbjZiQSmgbla jUe_n7o]TVbj\]UcSpSiU }tp~or_nQS\]c blZSmLo _n\`Q~jmg_ncD\y^`bjbd\`\'QiblT o'o'}cD\`cBoro]blSU"jUVa c5\`TVc9UeahQSo] \rc;icDaho`¢ U }~_gj_gTV^r_gc5TVo]\ U \`\`U"cg^r\`o_gd j§EQibj^`ah_DQEZipSmDcDbdDT±Uo]c5U"TQi_Uy;c5bjcD^`ipSUO^ ^ _g_n\ \ jc \rQSUUO^ QSdbjU"mDgQiU"U"jo`o"\ k dU"QSgU blahQk~Sbj\ d \`ZSQicgbjo \ bl}io|^]_gc£\ ;bl\`pSQSU'UU"U ZiicD}~SUOm5ZiQ9o`Uo`TVcnc;Qicg_\rQS;bjbjZiZimm c5^zY[mgZEc;cS\rpQSUo`U ^]m5UOTVT U"_nZ5blZi\`pS_g\]U"bj^zcDZicg o" \rQSblo|^`U"}cD^`\ k U io]U'U ia lio]bj gU"d§^]UO _njbjor_n\`bdc5ZiozmgUOZSU"^r_n\`U"pe5§\`QSUVx;¯ _g f mD¯LcDUE^`bd\ra Qi_gT?Z kg\`Q;U"ia o _Di~o`UEU TVcn,cDbd^`\rUoo`a ~U"^`}~\`UO_n^]blbjZ cD^\ra QicD_nZ5\Vg \`UOQS^]mDUEU"^`ZiU"a _nUMjbl_Do`Zi_g\]p bjcDTZic5o SbjdUEbj\µ§io]c5U?^_g\`^`QSUeU \rTV^`ScSjpS§ U"j^]o UO}i ^`U U"o`_gU"^`Z5U \`a _gc5\]bjZigo]U*blpScgUO|^]bl\`ZSQSm~U pibjo`\`¯L^`bj~U'SZS\]cbjcDZioz~U"cgmg blblZ*Z5\]\`UOcV^]UO_Do]pi\"pi ^`U"orot\rQSU'}i^]c5SjU"T cn%}~_g^r_gTVU \` U"^CU"o`\]blTV_g\]bjcDZ*cD^C\`QSUy\ cTVcSpSU loz~U"bjZSm a a cDcDZiZio`piblbdpS\`bdU"c5^`ZiU"pw_n %}~{ _gU"^ra"_g_nTVjiU \`\`Q~U"_n^ro \ ki \rU|Qi_n_g\|^`Uzbjo|bjZ5\`\`QSU"U^`U"}~o`_g\]U"^r_gp TVQSU UO\`^]U"U ^ blZ \`Qic5U|^ TV\`Qic;Upis7U cg}~\]\r_go|^r_gTVTVcSU pS\`U U" ^ro_gZi^`_gpE\`QS\rQSUO^7U\`}iQi_D_D^`Z _DTV\`QSU U|\]UOa ^`jo_Do`o 4 4 _DZip EcD^z\`QiUQSbdUO^`_D^`ahQibja"_nwTVc;piU M&% Á <&
(91) y&
(92) £ n ? h ? ?y&% Y[^`ZU"_gd\rblQSorbj_noe\]bjo]cDUOZ~a ot\]bjcgcDZ \`QS UyU9l_gpSU"U TV,cD¸~Z~U"o]jpF\r^`¦t_g L\]U9¤M\` BQ~_n¤ç\ TVcDU ^V\rQS¨icSdpij§®o _nc5jijc o`U"^`g\`U"QSp®UTVpi_ncS\rpS_ U w¥ }i _D ^`_DbjTVZU \r\]QSUOU¡^`oCa \]ic^r^`U"UyZ5\U"o`a \]cDblTVZ5\`_gU \]SUO\ p k _Da a"i^`_g\]U"d§D ) . ! "> ('*$. {|U"a _gdw\rQi_n\ \rQSU's7cg\`\`o TVcSpSU <blo mDbdDU"Ze5§U"·;i_n\`bdc5Z¡Dk~^]UO}~UO_n\`U"p?QSU"^`U ?@. ¥ %5¦ P¥ 9QiUE³7¦picDb#:*^Ma _ i(zd\µ_§ §DU"blZo`bj_DU"Z o`\]U"blT o`\]bl_nT \]bl_nZS\]m°c5^Û\`¦QibjUEoz}~pi_gi^rU_g\`TVcU \r\`QSU"U'^ ZS4 cD^rmgT bjg_nU"jZ bjo`U", ^tcn¥/U bj\r\`QSQSU UO^pibjio`o`\`bj^`ZSbj~m S ¡\]bjcD_nZwSbjTP iQST bloMbj³oMbl¢nmDU"bdDdblU"QSZ*c;cS5p§ 8 14 5I6 A ¥/5¦ 1
(93) 4 % y¤ 1
(94) ,%5 5 9<;>= QiU"^`U \rQSUoriT TV_g\]bjcDZbjo c£gU"^M_nj}cDoro]blSjU'o]U"mDTVU"Z5\`_g\]bjcDZiot¶e_gZblZD\r^`_Da \r_gSj§*l_g^`mgUyZ5~TU"^" 021
(95) , 3 4%5%6. Ð%бäLKM NOQP. 8 1 7 4%5:9<;>=. 4BA CEDGF H1J. C2K. F J 5 LN.
(96) 3. ! .
(97)
(98) .
(99)
(100)
(101). À7^`bjbjmDmDQ5i\ ^`kiUWcg\`y\]{ cDT UO_ndjU bjor_n\ k\`cDZicgo \`\]cnc5MT \`QS^`U bdm5@ QDfJ\ho`¦ \`_g\]U s7cg\`\`o'TVcSpSU c5^ ªbjgUOZ?_DZeblT _nmDU , k~\`QSU'jbj¢gU jbjQic5cSpecD^ 4 blo 5I6 0*14 3 ,%. QiU"^`U. 1
(102) 4 8 1
(103) 7 % 4 5:9 ; =. 8 14 5I6 A . . 9<;>=. 1
(104) 4. % % . ; ) ;. 4 6. y¤. y¤. . ; ;. ?¥¨\`cD}BdU \ k \]c5} . 55 1 ,%. 1
(105) ,%5 5. P QiUyT _n;blT~T jbj¢gU jbjQSc;cSpU"o`\]blTV_g\]Uyblo mgbjgUOZ5§ K 8 1
(106) 4%5.
(107) 021
(108) 4 3 , 5 y ¤ 5 ; 6 1 ,. 4 8 1
(109) 4%5 6 c '¤ 1,%5 8 1
(110) 4%5 14 % '¤ 1,%5 5 9 ;>= 6 8 14 5. 8 14 5. <>=. Ð <@?.
(111) OW.
(112)
(113)
(114) ! . À7bjmDi;^`U @e¥7/{ cgU"\`_g\]dc5blorT _n\]bj^`cDc Z~ot¦ cg%\`QiUy;Qiibdk UO^`_D^`ahQS;bla ; _gV_gTVZicSp pSU ,c5^ ; ¥¨\]k c5}^`c ;¦ 4/6 ; Sk 6 6 4 6 6 46 7 7 7 7 Ð%бäLKM NOQP. ; 6 7. _DZip. ; ) 4/6 . k.
(115) @. ! .
(116)
(117) .
(118)
(119)
(120). 8000. number of homogeneous cliques. 7000. 6000. 5000. 4000. 3000. À7bjmDi^`U. 2000 0. 0.1. 0.2. 0.4. 0.5 beta. 0.6. 0.7. 0.8. 0.9. 1. c5^ % % gfJo`\`_g\]Uys7cg\`\`o TVcSpSU 6 A y¤ 1
(121) ,I5 021
(122) , 3 4%5 6 '¤ 1,I5 9 pibjQio`\`U"^`^`bjU ~S\]bjcD Z '02¤ 1
(123) , 1, 3 4 5 5 9 _gZi p°blo?QSUO\`ZiQSa U U TV\`QiU"U*_DZ TV_nZ;SibjTTiU"T^?cnjbjV¢gU QSjbjcDQiTVc5cScgmDpBU"U"ZSo`U"\]cDblT io_n\]a U jbj·;cgS UO4 o bl oybd\`\rQSQ1U^`£U"_nor}~lSUOUa \?cg \]c4 \`QScDU^ QibjahQ y¤ 1 ,I 5I6 y¤ 1
(124) ,%5 9 cg\`U'\`Qi_g\ y¤ 1
(125) ,%5 9Eblo _V¨iZia \]bjcDZEcn 4 _gZ~pE\`Qi_g\ _gZi_gd§;\]bla _gdj§*bj\ blo blZD\r^`_Da \r_gSjUgc U"gUO^ _D}~Zç_g^`\]U"blo`a \]SblT l_g_n^%\`£UB_nlcgSUz\`cnQS U°Z;a i_DZTUzU"^?U"_gcgo`bjd§QScD}TVU"^]cDmgcDU"^rZiTVU U"cDp~oe5§a jmDblU"·5ZSiUOU"^`o?_g\]iblZiZSpSmUOor^_gT \rQS}SU jU"pSo%bl¨o]^`\rcD^]T bliS\`bdc5Z pS_gU Zi¸FpZSU"pIcD^rTV5§ bjZi_m _DZeUOÀ7T bjmD}Sibj^`^`Ubla 4_n<orQS_Dc U"^ro _nmD4 Ug + 9_go%_ ¨iZia \]bjcDZ'cg cD^ _ fJo`\`_g\]Us7cg\`\`o TVc;piU 50*cD1Z,
(126) _ 3 4%5 l_n\]\`bja Ug P5§®QiU \`QSmDUL^r_gx}iQUObjoZipi\rQSo`U"U Z;U"fJT ¯L}S_DblZS^`bjm 1
(127) a",I_n_n5ijmgTVc5U"^]_Dbj\`ZVQiZ;T iT ~UOkC^7cnc5w^ QScDTV4WBcD£mg_gU"jSZiUOU @ cDo~cno a dbl·;SU U"\o c5U ^zUOZ @ «g _go`Zi_DpITVg}iIdUO%o7P mgQSU"U¡ZiU"m5^r^`_n_D\]}iUOpQ \rZi^`U _DbjmDa UOQ;oy~c5¨^]ic5^`T bjZSm*4 }i6 b SU ;ilohk7¦za \]c5c ^`^`U"or}cDZipSk blZSQSmEUO\]^]cBU3 3 \`_¡! QSUa c5bjTVT }i_n@ dmDU"U\]U bljo|§°_n^`lTV_DZicDpSo`cD\ T 4 U"Z5bj\`T bj^`_gU jmg§U9c5¥/ZSZiUc²a a cgc5j^`cD^`iU ^'l_n¥/\`bjbdZ~c5pSZBbja"_nU \`\ U" p¡U 5UOZ§ \rblZQSU \rQSblT U_nblT mgU_nmDQiU_¦Û;7bjZSÂtmo`\]_blT Z5~_n\`TU"ot4 U"cD^6 ^ cg7<QS¨ cD^`cDTVTÁcgmD¨U"SZSjdU"§cDic5oio]a UOdbl^]·;DSU"U"potpig_gUO\`^]_§VTVa j_cD§ o`U \]U cT \rQS_gU piU\`cgo`\`bj_gT }SZ;ji§*T5~§ UOa"^_ncnl<a Sa ld_nbl·;\`SbjZiU"m o 4 + 1 ,I 5 _gZ~p?^`U"_DpSblZSm\rQSUa c5^`^`U"or}cDZipSblZSm 4 ¨^`cDT \`QSU'm5^`_D}iQw TVa cDcD^rmg^]À7UOU"bjo`ZimD}U icDcD^`Z~~UpSoCbja Zido`meblQi·;c\]Sc U"o"o ki\ a c5c^`;^`blU"T or}~ _nc5mDZiUypSP ~blZSo]QSUOmUVpE\`¸c \]^rco]4\y\]UO cgo]C\;\`o]Qi U"U")mDo`STVUV7U"blP Z5o'\`QS__gU'\]bjo]cD_gUOZEja ic5_nUVZijpemgcgc5 Qi^]bj_D\`o Q~TV4 QS-£o"blDahtQ²P QSmDQSc5bdUDTVU"¸cgoy^`mgo`_UO\ ZSgQiU U"_Dc5^`oi§¡oM-£i~a ZSj"bjbd ·;cDSQS^rUOcnT o f k blT bj\`_nQ mDUg0"kcDZS^r_nUOo\`QicnU"<^T \rQi_gZ5_g4§VZ«o]cD4b 0 ZSUOU?o k5a }ic5TV^]c£}~;^]blpSblo]blUOZSp°mybjcnZi3 or0"cD:*ZSa UObjo U"kZ5\t_DZiorpTVc;\rcgQS\`U?Qio`bjZSU"mya cDZic5p ^4_'mgbjorg iU"a oa U"_9oro[¨¨_gSbjF^`do]§ U"mD^rTV_gZiU"piZ5cD\r_nT \]bjcDbjT Z_g¥/o`mgU UgU k ¸ mDi^`U'W5¦Û 4. . + 1,%5. 91;o. 0.3. 4. <>=. Ð <@?.
(128) 4.
(129)
(130)
(131) ! . À7bjmDi^`U' P%U"o`\MY[T _gmgU"o ) . 21 3>". 3 ! 1 !#"I$. ('*$. r\PQiQSbdQiUOU¡Ue^`_Do`}i^`U ahmD_gQS^rTVbl_ga UOTV_gZDFU"\rTV\]_nU"\`cS^rbdc5o pSZ®U"4 <}5bj_D§So Zi^`p_DTV«cbjp®gzbjZ \rQS_°Ueo`QSbjbjTVU"^rbj_gj_D^r^ahQSTVbla _D_gZitZSTVUO^ c;çpiU { CUOT a __g§Ld ~\rQiU_nU"\o`\]\rblQSTVU9_gU"\]UOZipLU"^`¨mg^]§ c5T ¨iZ~^`U"a _g\]bjdcDblo`Z®_g\]bjc5cD^Zioy\`QScgU 1
(132) ,I5 6 A 4 ? y¤ 1
(133) , ? 5 4 0 ? ( 1 4 5 ? y¤ (z³ 1
(134) ,I5 ¥`"5¦ _DZibj\`p¡QibjblZ?oymgjU c£gDU"U"<^rZSa jU"bjp²·;SDUO§9o ki\ _D ZicEp?o]bj\ro _n\]blo`\]bla o"VP QSUV¸^ro`\ U \]U"^rT$\`QiU ' @
(135) cnzQScDTVcDmgU"ZiU cD~o + 1
(136) ,I5I6 ¥`g¦ A ? '¤ 1, ? 5 0 ? ( 1 4 5 ? _DZip\`QSUo`U"a cDZipbjoz\rQSUZ;iTU"^ cn QicDTVcgmDU"ZSU"cDiozU \ U U"ZSfjU DU wa jbj·;SUOo k + 1,%5 6 '¤ (z³ 1, 5 ¥` 3 ¦ . Y[ahZ9Qibja"_e_no]tblTVTVbdcSl_gpS^ U T _DUOZi^]ZSUU"mD^ U"\]ZSc*UO^`\r_gQS\]UUOp¡o`bjTc5S^j_g_9\]bj^rcD_gZiZSomDiUVo`cgU"p? \]_gc*jimDU"U"oZSUOcg^` _g\]Uy_g¸~Zim5p i^` k.U %4Skc5^`^U"_g_ dblorfµ_no`\]\`bj_ncD\`Z~U*ozTVcnc;\`piQSU UV QSbjbjU"\`^rQ _g^]W f j+ U DU lo kw_g_EZi^`p U"o`+ cglS\]bjcDZ9_DoMcg¨iZi a \`% bdc5Zi?o }Scgbd;U"jo'_gZ~_gp \ jU DU ik<_DZip > 64 ) À7bdm5i^`U-eo`3Qic o|\rQSUa cDZ5\`cD i^ro|cg 1
(137) ,I5 1,I5 4 7 À j b D m i ` ^ U % or. QSc oC\ cV\]UOo]\zblTV_gmgUOo kS_gZ~pe\rQSU'a cD^r^`U"or}~c5ZipSblZSmo`U"a \]bjcDZioMcn¸~mDi^` \ra QScDU^r^]UO}io`_g}^rcD_gZ~TVpSU"bj\]ZiU"m*^ro }i\]_gc9^r_gTVUU \`U"U"o`^r\]o|blTV_D_g^]\]UUOpwcDViZiP p QiU ¸QSU"^`o`^`\ U¸~\rQSmDU ~^]a U U"Z5Qi\r_g^`o _g + pScD1
(138) \],I\`5U"p¡6 jbl) ZS) UV a"; ^]) c5k o`+o`U". o|1U ,I\`QS5- U 6 a UOQiZ5bj;ah\`Qe^r_n) U"%Zio`_DP cgSjQSbldp UU j_VblZSDUgU"^`§eP QSQSbjblmDo Q?bjoy£_no`cDlSTVU'U cn Qi%U"C^`UP c QS" bjo \rbjQSo Ua cD\`cDZi}²o`blo]dU \` U"\ Z5\ cgt\`bd\rQiQEU\`¸~QSm5U'ibl^`T Ugk,_nbjmgZ~UOpSozbja"bjZ_n\`¸~bjZSm5mEi^`_U g%U"^`¶§EdU"c a" _gi£o`_gUyjS\`UVQSUcn o`·;4 i_D_g^]Z~UOp o a cD^r^]UOo`}cDZ~p bd\rQ«\rQSU9o`i~o`_DTV}idblZSm²\`c²c5^`T \rQSU9}5§;^r_gTVblpwk U?^`U"·;Sbl^]U?_nlTVcDo`\V_gdz\`QiU?a dbl·;SU"o . . . . . . Ð%бäLKM NOQP.
(139) O. ! .
(140)
(141) .
(142)
(143)
(144). 0.8 2.34e+04 2.25e+04. 0.7. 2.17e+04. 0.6. 2.08e+04. 0.5 gamma. 2e+04. 0.4 1.91e+04. 0.3. 0.2. 1.83e+04. 1.75e+04 4.95e+03. 4.29e+03. 0.1. 3.62e+03 2.96e+03 2.63e+03. 0 0. 0.1. 0.2. 3.29e+03. 0.3 beta. 4.62e+03 3.96e+03. 0.4. 0.5. 0.6. 7À bjmDi^`U - %+ 1,%5 ¥pi_gorQ;fµpScg\h¦C_gZip + . 1,%5 ¥o]cDdblp¦M_goM¨~Zia \`bdc5Zio cn 4 _gZip ¥/o`U Uy\`U S\Û¦ cga cD U ^r\ %k^] U"U j_g_nUO\]Z²\bjcD\`\rZQSQSU*U bjZijdp~c U"iga U"U"UOj^'o pj\]U Dc9D§U \`lUo QSU QS}5cDU §STV ^rcg_gbdmDjTVMU"bjZSQ~p U"_cDo`g\`iU^ro"igk<a UO^`\r^]U"i§Lor^`SUgT dkn\`bjU"_gZigZ5mU"§BZ blZBQSc5_EbjTV\`QQScgbjmg_ymDUOQBDZSU"U £^`c5_n§ilSo`oT UVa _gdblcDd·;i^ S£U" _go"jk S¯çUp~ScgbjUe\`Q°\`c¡7_?P \`QSQSQibdU?m5U|Q²o`o]UO}~£a _n_gc5\]jZiblS_np U blorT ·;i_n_gmD^`UyU"oQ~_gZSo c¡+ jcDZS1, mDU"5%^6 a cD) ^r) ^]UOo`}kcD+Zip . 1
(145) ,%bj5%\`Q6 \r QS U) 7 orkiia ic5or^`_g^`T U"or}S}~jblc5ZSZi m~pSk7blZS\`QimVU\]c }i_D4^`_D6 T;U"\]7 UO^`oy \r_g6 ¢nUe; cDZ°4 ¶jU"orU"oa"_gU iSo`\rU'^]UO\`TQSUU £_gjSUOo . . <>=. Ð <@?.
(146) -.
(147)
(148)
(149) ! . 10. 10. 20. 20. 30. 30. 40. 40. 50. 50. 60. 60 10. 20. 30. 40. 50. 60. 10. 0.8. 0.8. 0.7. 0.7. 0.6. 0.6. 20. 30. 40. 50. 60. 0.8. 1. 1.2. 2.25e+04. 5.06e+03. gamma. 0.5. 0.5 2.28e+04. 0.4. 0.4 2.25e+04. 0.3. 0.3 5e+03 2.3e+04. 0.2. 0.2. 2.3e+04 5.1e+03. 0.1. 0.1. 4.72e+03. 5e+03 0 0. 0.2. 0.4. 0.6 beta. 0.8. 1. 1.2. 0 0. 2.2e+04 0.2. 0.4. 4.5e+03 0.6.
(150) !"#%$'&"! ()*& +$'&,#- .# /0#-/1234&- - 2. 557698:0;< =.
(151) %. ! .
(152)
(153) .
(154)
(155)
(156). ". ". Y[UOZ o]\`\rbjT QSU_g\]}~bj^]cDU"Z5bjcDc5~^to\rQSo]UOU'a \]}ibj_gcD^rZ _gTV U|U"\]orU"QS^rco cgU"pV\`Qi\`UyQi_gTV\cSbj\tpSU"blotjoM}\`cDQ~or_no]\blSjU Uy\]_gc^`pSU|cblZ5_g\]}iU"}i^`U"^`o`c\]SUObjp*T bl_gZw\]U |T c _£SU blTDU"i^tT \`QSdUybl¢nTVU"dU blQS\`Qic;c;cSpp pi}~bj_gor^ra _giTVoro`U U"\`pçU"^MblU"Z1o`\]o`blU"T a \]_nbj\]cDbjcDZ Z?@ }i^` cDQSSbjjjU"o`T?\EkS~blU"o bjZSZSmcD\zcn^`U"_gbjZ5dj\]§eUO^]}iUO^ro]_g\a \] cDbla ^_gcDic5\`^ _nbl^`ZS_Dbl}SZSblm pec5_ Z;mgfjjblcDZS~Uy_nU"yo`\]}~ blUOTV^`or_g}~\]bjUOcDa Zw\`bd DUBcg\`QSU \`}~bj^`TV_Da UOP \]otQSbla u]U~_gFo]T\y_gU"d 9\`mDQScDcDcS^`Z5bdp9\r\`QiU cgT ¤Mo ¡_g^`_gc5jce^r^M¢nU" ¡c£o`*\]_£blSahTVQiblT_g_g\]bjibjZ9cDT±Ze ¡³%\]cDcbjZ5¢g\]~U UVU'jbjQS¤Ma c;cD_DcSZi^]pwjo`c\`kw^r ¡ Bia _£¤M\`SU" 9blpwT ³iYµ¦ \zT´_Dbjpio ³pi~bl^`¢n_gU"U"o`ordU"o]blQSp*UOoc;c5cS\`Z*pLQibj\roy¥/QS BU'}i^`¤M}icD^] BSblZij¤MU"a T? ¡bj}Skwj³tU _gkFZ~cncD%p¡^ bl_nT o`jcDd}~TVc c5 U ^[off \rU _giZi}~a UOU a \`or_g_g\]T bjcD}SZijo blZSmbd\r¶ Q\`^]QSUOUyo`}blpSU"U"a _\\]\`cQ~_n_g\ Zicg \`UyQiU"a ^_DZepSblio]\ro`^]Uyblio`S_D\`TVbdc5}iZwdUOk;oCD§Vpi^ro`_ i bd\rZ_gS¨^`jcDU T ^]U c5ZSU"Uybdm5pSQ5bj\]o`bl\`ZS^`m~bli%S¯ \]bjQicDZe_n\\]\rcVQSU"bloo`\]_nblT jdc _n\]Uo ~_DZiop?\]cLbd\ro pSc²m5^`QS_DUOpS^]bdUeUO Z5bj\`ooM\`QicD_g^ \ }~_g^rUe_gTVa _DU Z \`U"i^ro o`Ueo`_DT }SdUOCoP piQ;^r_i o ZLU¨^`a cD_DT Z 4 1 ' \r QS\`UcBor_ga"_nT la }SSjU"l_no \`UU\`QSQiU_gdblUy¢nU"mDdU"blZSQSUOc;^`cS_np f \`\`U"c²pwa k_gdjUOa"_gSpSl_nblZS\]meUe\`U c9i}~TUOa c5\r^]_nU\]bj*U cD:*Z~oa bjU"c5Z5^ \'_n
(157) jmg c5 4^]bj\`Q~ TVo" ''Y[ZBblZ \`QS}iU"^r cD_g^`a §g\`kbja Ugk7U bda _D\`ZBQSU?~o]pSUVbjo`\`\`QS^`UbliorS_g\]T bjcD}SZ~joU" o|pScB¨^]c5ZST cg\ c£4 g U" ^`l_g } o`bjmDQiZSbjahbdQ¸a Qi_D_gZ5oM\]j\`§Qi\rU QSQSUybjmDbjT QiU"}o`cD\z^`}~\`_g^]c5Z~ia U_gSorbj_gjT bd\µ§}Sjibl ZSZi4 m piU" ^ U bj mDQ5\`o bdkjw~QSU bjahU*Q ",U"a bd\]jbj<gQiU"d_§DU0"U"_ ^`c_gU"}ibdm5_DQD^]\C\tcn¨^]c5c5T ZSUg\`QSPUyQSo`_Dblo T }SbjddU jU"_Dp \]cU S\`^`U"TVU j§blZi_ga"a i^r_n\`U U"o`\]blT _n\]UOo k;_gZ~4 p bj Z}i ^r_ga \]bla U U|Tio]\C^]U fJor_g T }SjU QSU"Z 4 Qi _DU ahQ~_gZSY[ZemDU"mgpeU"Zio`U"bjmD^rZS_nbd¸kg\`a Qi_DU Z5\]TVj§gcS pSU lo Uy_g^`U|a c5Zio`bjpSUO^]blZSm*¥/\]cDmgU \rQSU"^ bj\`QeT _DZD§Vcg\rQSU"^roh¦a _DZ*U ^`bd\`\]UOZ*blZ \rQSUycD^rT C C . . . . . . . TVQiblZSU"bl^`TUbl\`o`QiUgU"ki^`blUVo _D^]U o`\`_g\]blo]\`bja"o cntblZ5\]U"^`U"o`\ P QiUVZSU"mD_g\]bjgUjcgmdbl¢nU"dblQSc;cSpwk QSblahQ U blorQ¡\]c >
(158) . . _DZip\`QSU'm5^`_DpSbdUOZ5\`oz_g^`U >
(159) 9 v|_D^]jU o`c~kSii\ dUOo`ozio`U ¨Sjj§e_goM\`QiU UOo]\`bjT _g\]bjcDZe_Da a"i^`_Da § bloCcg\]UOZ}c;cD^"k5\rQSUyU jU"TVU"Z5\rozcn%\rQSUy|UOo`o`bj_DZ >
(160) 9 9 9 \`mDx;c²U"c~ZSkiUO\`U?^`c*_g_D\]}~UOSUOp d^[Uec5\]^`bjc²T\`Q?UOUo]\`\`*QSbjUT a bjTV_gU"\]Z5blU \|ZSbl ¡Ti_n ;T´blT_g}~Zi~c5p T o`o`bj³idblU¢nU"Z;dbliQS9 Tc; cS~peUOcD^zUO^cno]_\`%bj£T _g_gbjjpiS\]bjUUOcDozZ^rcn_gZScDmD^ U* \rQScnbl o £a _nl_glSorU"ozocncn TV c;kpi~U o]lo blZS mBUor^`_gU"T ·;S}SbljU"^`Uo _DTV}idUOo mgUOZSU"^r_n\`U"p¨^]c5T k U T _§ a _nla ij_g \]U \`QiU|^]UO·;Sbj^`U"p ·;i_DZD\`bd\`bdUOoblZ\`QSU ª j b g O U Z ` o cDdjc blZSmVT _DZiZSU"^" 021
(161) , 3 >5 6 +. K. C. K. 1. :. F. K. ,I5 6 1 8 1 5 5. 1. C. 8 17 5 9<;>=. K. F. 1. K. K. +. F. +. C. +. K. 1, 5. 1, 5. +. C. +. F. C. +. ,. 1
(162) ,%5. . C. +. C. +. +. . + 1,I5. . 1 C ,I5 5 6. J25I6. 8 1 5. C A. 0*1, 3 25. 8 1 5. 6. A. 9 ;>=. A C. C. +. C. 1,%5. <>=. Ð <@?.
(163) O.
(164)
(165)
(166) ! . . vZip. 8 1 5 8 1 *5. +. C. 9. A 6. 8 1 25. . 6. . . A. C +. . +. . . 9 C K. A C 1. 9 ;>=. C. 9 ; =. 8 1 *5E021 *5. 1,I5. C. C. 5+. C2K. A C 1. . C. 5+. C K. A C 1. +7 F A 9<;>= A. 6. . 6. C. 1
(167) ,%5. 5+. C. . F. 1,. ¥`"W5¦. 5. 1,%5E021
(168) , 3 >5 C. . 1,%5 8 1 5 9<;>=. 6. 8 1 *5 8 1 5 A. . 8 1 *5 8 1 5 + 7 A F. . +. . . 1,%5. A C. 9<;>= F C + 1
(169) , 5. C. . 9<;>=. +. C. 1,%5. . . A C 1. C2K. A C/1. C. C2K. C. 5+. C. 5+. . . 1,%5 C. 021, 3 *5 F 1,. 5. . vpibdZiUOZDp \"kw_DZDU \r§°aO¦|TVa bj_gZiZBbjTV~blo`U _gi\]bjo`cDU"Z p }i^`bdcS\ra Q¡UOpi\`QiiU"^`o`U¡U¥¨£m5_n^`_DlSpSUObdo|UOZ5\`\cpSUU""ForUOa a UO\yZ5\ \`k7QSU mgcDTVjpSbjUOZiZ bjTVo]blUOo`a _g\`\]bdbjc5cDZ Zwo]UOv_go ^rahTVQwkUOZDa cD\`bdZ£c5u]ZSSU"mDp²_g\]_gU*m5c£g^`_nUgf k }~^`Qi_DU"a Z \]bla _gdbjjo§gk ¨_D ^U*¨^`TcD~T o]\' pSU ¥/¸bjZZSU*o]c5_ETVa U^`bd_g\`U"}~^`}ibj_e^]c5}icD^`^'bj_gpi\]U"Uea o`blpSU"blZiZSo`m U¦h kQS\`QiUOUZ²UObj\'o]\`bjbjoT ZS_nU"\`a bdc5U"Zoro`_D ^]bj§Ed \]c¡U^`U"blZior_g_DT a a }S~j^`U _g\] Ugbd«\rQLx5c_ F \rZiZiQSUU"bla o UOo`a £or_D_g_go]j^`UyS§U _g\]^`cncU ^`9< U";>or= _gP 1 T QS}Sbjo CjUg1a" _gC ZK ~ U'C 5 pS+ c5ZSC 1
(170) U', D5§*5 TV¯ c5ZSQSbdU"\`cDZ?^`bj\rZiQSmU\r^`QS_DUZSmg Uy )cg% \` Qi
(171) U" o`U 'U"
(172) bd m5QD) \r oz 1~ UOa cD'TV UO o jk _D ^]mDQSUgbjk;ahQbj\ blbjZ o }\r~QS_gU^r_gÀ7QiTVbjbdmDUOU i^`\`^`_DU"U^`^rahoeQScgblora QS_g\`c Qi UzTVo Qic;bd_epiUO^`U S_D bj^`Z~ah_gQSbd^`\rbl§a Q _g\`5\`U"QSTVo`Ue\|cSblU"pSTVo`U"\]S_gblTV\]mgc UD_g \`\]_gUOv|¢gp o Uz}icDpS_gZbjor^ra _gU ~STVo`\`U"o`^`U"U"\]U"pETV^ro"UzUOE_g^`_gPdbjjU"iQi^"U"bjk~oo"\r%bjQSov bjo_nlo`l\µcyT§Sor}~c5QSUo]c\cn \]Zcgbl\rTVbj_no7j_gd_y§Lmgo`U_DcDa"T Zi_gUe}Sido`a UCU"cDo|¨d^`c5\`cDiQST ^ U k orTVbj\`c;Qcg\`orQiTVbjZS_gmVd }c5^cgbl_VZ5\`o`o U m5cgTVU"\`Z5Qi\`U?_g\]cDbj\`cDQSZ¡UO^¥o]a U"cDUdc5o]UOia ^ \`çbdc5Z¤Cd-DUO¦Û_g ^`d§ \rQSblo bdj|ZScD\ }~^]c£;blpSU_°orSbd\r_gSjU9pSU m5^]U"Ucg ^`_DU"Zi_gpdÀ7bl_orbj_nmD^]\]iUObj_ncD^`U|jZ~bjoroO_n cn\`<bdo`c5Qi\rZQSc U|cgios7\`_|cgQS\`Uo`\`U"oz<a \]_gbj Z~cD'pZy>QS¨ ^`bdcDUOT^`_D^`_ ah Qix;bjsMa"_n ~bjP\`TVQblcS}~TVpS_g_gU ^rmg _gUtTVo`bjU U \`\`m5Q*U"TV^r}~owU"_gU"Z5^ro`\]_g\]UOTVblp'T U bj_n\`Z5U"\]\`^rUOc op'¸~U"¨Do`^`\]cDUCblTIT a l_n_g\`\`orQiU"o`UCU"p o"o`U ¨^`mDv cDTVTÁlo]UOc ZD\`QS\`o`U"QibloMpc bjx;T sMZ'_g _gmg^`UgP U k blahT Qibd_nUOmDZUgTVPcSpSQiU UV%QSpSbjc;U"U"^ro_g^ro`ahU QSU"blT a _g\]c*_gZiQip¡_Ds U cDa"\]_g\r}So \rTV@ i! ^]cSUO pSpU"jo U a \`\]jU"UO_D^ ^]\`j§?QSUpio`c\`^rZSicDa \ \`i}i^`^`Uyc£;bjZ?bjpi\`UQio`U'icDbd\r^`_gbdmDSbjjZiU_gor,TVbjT c5cD_n\`mDQSUgbl ZSm P QSU Ð%бäLKM NOQP.
(173) 3. ! .
(174)
(175) .
(176)
(177)
(178).
(179) !" #! #!$ %&#%'(*)! ! '(+-,/.1032 0465798 :;.=<2 >4 ?. @BA-CEDGFIHKJC*L;DNMPOM&QRL-D. S# UT %V W)XGET#6 YZ $ $)"[Z#! \3 #^]_$)"`)XaZ#! *)! ! 'b%6[%6 Y !$c-%V!' dW#! ! 6 !eZ#! f RT'$ * gg #! fT R V h $)"gZ%&#! R * ! % \9 g\3)i] 6jlkmR d V''n_!)idWoZ#U #! EpN) ZUR)! ! V' 6)_ W;T#6 hZ )f6W,bqY.r02tsu$vwx yWz|{ }~}( %V)6')Z* +KZ#R\3 '$)idZ#!*]i'! -Z#! 6'$ 6 )E6 X 'KZ63 !) `%') - ) #!E]i6'! )" hZ6T! !'/ R 6 E6 \3)i] [$* #! 'Z $)"
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
