A Nash Topology Game for Tumoral Anti-angiogenesis
25
0
0
Texte intégral
(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. A Nash Topology Game for Tumoral Anti-angiogenesis Abderrahmane Habbal. N° 5252 Juillet 2004. ISSN 0249-6399. ISRN INRIA/RR--5252--FR+ENG. Thème NUM. apport de recherche.
(3)
(4)
(5) !" #%$'&(")$ *"+, $ -).0/%132424576%8957:%1<; 5=.%.>57? @BADCFEHG IKJMLOb>NQ \'cedWPSGFVgRUTWfgV'CFh(EHiejkGXG T,YSZDEH[X\^]`_aZDGXT l*imhDh7cm\^V,nDG\^G4opADGF\popADGqY7r>s3tms3tuNwveZD]kjkjxGFVgteymymzN{tD|}h(ie~3GXT. )oFcmY(XT^]`FnUGFD\% mV'mAD G*@mZ(G4T^ET^GFc3jx\'imEHj>ieieV^YD\']~3S]xc3V^~mZDGFEHY(GXc3T^\%]kT*T^RUimTWY(V'n<GFEimYaimV^T]xi}imYDh7~mcm]k\'cmcm~3Z(GFTYDEG4TG4]`TKnU]kimZD\^EGE\'cUcmnUEGXjxV^G4ADn<G*i3V^TMZDEHi cmIK\0i3ST]xAGX,~3h=imc3E]xYaG3VieY=n G ]ki3YDT GADVWie] Y GF]xV^GXGXc3Y jk\'i3TVWTWV'ce]kc o}nDieTV^YDGF\'Y(~3Z(T^]xoc3]V'VW~mR¡ZDGX\pYDieZ(GXj>T^Y(]kEHoTXV'9GX]xc3nU@BY(]kZDT}ADEGu,ADi3\^o]`c3opV^AEO]kiieV'V'\'ADcmGG\p]xTYaADV^BcaGXTWieY(VYanUVV'G4]kn T'V^Tc Z(V'c)GEH\'a]xGFYD]khDGF]kEH,\'GXh7]xT^¢XGFcmG¡Ya]kYaV}V^VXAD\^)G¡G4ThDh7\'GXG+GXoT'nDV^T^]kGZDm(GX\^YDG jxRuG)nUimiu\'ocmV^oh£]kcmEHi,V^h7ADc3]xG\'jkV'TMG ]V'ieV^]xY=c3ADYn G V']kEYDZDZDADEHjx] V^ cm]k]x\phDV^iejxc3G j\'TY(opA=GF]xcYaieV^YDGXimYDY(T'GXon jkZDT,j`V'i3iec T,\']kEH¢XieiY ]xV'YD]xcm]kc3EHhUY¤V']x)]x¢XEGIKimV'ZDj¥ADEH\^G+G4GFTGX\'h7jk]ki3oXcmTWieY(V'j0T^]kGMo\^G4V^oFTcHcmZDEHjxcmV'hDT hDV^jk]x]k]kjkEHimjxZ=Y(imTWoj¤V'G\'nUiecm]`V^TW,GV'\^V^]ADAD cG+ZUV'EH]xc3ieV^Y V^AD\'cmGX] cm\']kcmGYDV'\AD]koX] V^ ieAD]xjxG V^,c3V^nU\'ZDTX\pEHie]kY(cm\pieT~3GnDGFcmm,GXV^jxc3ADh G ¦u§a¨ª©'«¬ m ieYD~3]xc3~mGXYDGXT^]kTX®UIKi3TA ~3imEG3®SV^c3h=c3jxc3~mRcmhDV^]kE]k¢XieV^]kcmY¤. Unité de recherche INRIA Sophia Antipolis 2004, route des Lucioles, BP 93, 06902 Sophia Antipolis Cedex (France) Téléphone : +33 4 92 38 77 77 — Télécopie : +33 4 92 38 77 65.
(6) * w*" " #%$'&(")$ *", #
(7) imYD~m]kcm~3[FYDC4TG<V^ZDEHcm\piejkG GV jkGXT<TWV'\'ieV^[F~3]xG4Tun ieYaV^]ximYD~m]kcm~3[FYDC4TG!Tc3YaV EcUnU[Xjx]`T^[FGXT GV'FoFZDUcmEHEH]kTV'GFEHimZDY3Gu\VgZDGVHY EodWicmGFV^EHZ \']`EHonDGKG GGFSZDIKV^Y(im\pG)T^imA¤oTGX V^jx\'jkZ(ZDI*oj`iecmV'ZD]kV^\^\'\^G G G+ ie[FhDj`imV'hDZDT\'V^EHcU]`_3opGFZ(ADZDG+Gu\ }nUooFZc3cmY(EHh7T]`cmEHT]kV^YaG}GVZD nUY¡G+oEc3SY(]kZDjkT^]xG)]kGXnUZ)nU[XZ \^h7GXcm\V^\']`GFT'jxGTZUZ TRU A nUT eZ¡V^V^CFGh=EHc3G]xEYaV*iV'nUie\^G]`]`T^oT^SGFGX'ZDimuGZ IKnUhDG}cm\'Z(jk[i T V'GXnDGFY [ZD(\popYDTA(]`ieT'GTV>\'c3~mjkY(GGXT,T nU]xZDY(Z9YDADGE] o]k]jkcmV']xGFGXEHZDZ h7\pT>h=[V'c3n ]\^V' ieGX]xc3ZUYDYu¥~3]x® GFc3Yaim~mV^jx[Fc3\'Y(G \'CXT nUT^Gm_aGFZDZDG+¡GXjxnUT%G4GXTimY(o]xT^Y(V^]]kV'AD [X]ieTK V^]GX_aV'ZDZDGF\'ZD]T\p\^TcmGXYahDc3V>\'Ya[Xh7VT^cmGFoYaZDcmV^\%EHGXc Y3EH V,dWG\'GXGXoc T^V'h=]ªdWG4GXnUooV'GV^]x]x3E,GF]kEHnDYDG]kGFEHYaEHV*]kT^]xGFjkYDGX\>]kTKEHj`iKi3]kT^oh7GFV'GF\]x\^V^ijkiG oFnDcmGEHEHhD]kjkYD]kim]xEHY(o]`GgTGX[F\}j`imjxGHTV^nU]`_a\pZDieGK]kY(nUieGM~3GjkinUEZiEV^\']k]`jko]xGXGmZ®acmh7Z)cm\'GFGFY(ZUoF cm\' GmdW®aGFnDZ ie)Y(TT^cmj`i EH3EHGF\pGT]kYScmZDYjkjx]k"G EH! hDjx#g[XEHGXTMGFYa\'[XV^[XT^ZDGKjxYSV'iZDVpEHTM[FYa\'Z(]k_aEZD[XGX\^EH]`_aGFZDYaGXVXT ® ]kZ(jkjxYDZ(G TV^nU\']`GFTWYaV'\^V] oFZUcmV'EH]xc3EHY)GFc3YahUVV^j`]ki¡EieV'ZDjkG}EHn GF ZD]kYD\ADnU] [F]x3V^GFGFjkZ(cm\'hDTXh7 G+nUG4ToXieY(imZUEZDjV']xh(jxG4ToFcmEHEHG\^[Xh=c3Y(T^GcmhUV']xEimjxG $¬ 4 © & % ieY(~m]kcm~m[X(Y 'T^Gm®FdWGFZU¡nUG IKi3TA¤®Uc3hUV^]kEH]kT'iV']xc3Y+V'cmh7cmjkcm~3]k_aZDG3.
(8)
(9)
(10) . . " # ¡ # $ " h( \^VgYDc3~mjxGX]x]kiecmGF\'~3\pjkR)GFiYDV'nUGKG4GXTV']`mcT,GFjk]`cmTgimh(\'V^EnDADTBG GXYai Vg]xEc3iejxiY(c3V'n¡~mZD]`\^oF~3G}im\^jcBhDim\'T'V'cUoA¤Z(o®(GXjkimieT'YDV^T ZD~m \']kcmR¡Gm~3 ,GFYDADG4]`Top]`A TBYD]kTgGFVWYD0G4c3oGX\ UT'T'T*iecm\'R V^cjkcacU~3cHnu3\^GXc3T'E TGXjkV'TgADieG\'GXG E ]kYD ]\'V'Rm]kiec3V^YDG4]`n<o} iei3Y=TWn h(oFZDjki jkcmRU~mTBGXieYDY¡GXT^]k]`ETgh7]kYacmV^\^cuV'imi¡YaVBoc3\'cmEjkGMh(jx]xGFY¡V^GiecmY(ZDnY(n)EADiG4V'ieZDjk\^]xYDG ~ imjkcSY(cUn)n!V^]`oFT^]xT^\pZDoZ(G}jk\^ieGXV^h(cmie\'Ru]k\']xTYDRU~=TV^GXE L¡c3\^GXcmGX\X®¥ieY(~m]kcm~mGXYDGXT^]`T TT^V^ZDGX~3hu~mZGX]xUY TVV^G4V^n AD\^c3GV'EA(~mi\'cVcmBV^V^ADV^ADGXA¡G\ceZ(h(T^imGoF\imV4ceY(®%,oimGX]kYDYD\,~mADV^]k] cmZ( ~3E]xV^GFcmc3YD\p\'G4TTgT]`iecmT}Y(BhDn¡imj`iYD]kRUYu~mT]kcmV'ieZD~3j`GFEHT^YDc cmG4\pTiuie]`TFjh(®¤EHiimV'Y GFADV'cmimiejkThDcmV'hD~3i3]k\'ToXc3]`ieTXi3jBopA<\'l*cmGXV'jkGmoA(®GXiYaV V^GFjk]`Rm]kTYD®7~cmcm Y(V^i¡GFoFY cmZ(jkcm\'Y(G~mnD]`GXTieV'\^EHTB\'GXGXA(n<Y3i Vp3V^iec G j i3nDT}\^ZDie~aYaT V^]xie\'imG+YD~moF]kZDcm\^~3\'GFGFYDYaG4V'TjxR]`TX®7ZDoFY(cmnUZDGXj`\^n ~3cmhD]k\'YDc~ mGojkG ]xY(!ª]kGXoXoieV^j0]kmV^GH\']k]ximY!jkTXoF#imY("0ocmGXEH\ghDV'\^jkGG4V'iGV'EGFSGX]`YanUVXGF Y(oF#gGcm¢4ceieK]kY(oFjxTM]kYDce]`0oFimimjYaGV^]x$imoFYD]xGX~mY(]kcmo~3RGFYDcm]`o\ ASi+ZDhDE\'cmimEHY ]k T^]kGFYD]kYD~~3V^TgA(GF]kT}\pieThSV^]kRmjx%j>j`"0imc3o SE ]kYD ~(]kYD® G4 nuZUV ,]T^V'h=AG4onU]`]kie\'jkGX]kToV'V'T}jxRuT^A(oFZDie\'\'GieV^i ]kmTWGV'\^nDc3\^YDZD~ ~aTF ®ªGFiejkYa]kGV'] V'ieA(YDi~3V]xc3ie~mYaGXV'YD]]koieYDnD~3\^]xZDc3~a~mTKGXYDimGX\^T^G ]kT*]kYU]kT V'GXGFmY(GXnDY)GX\'n+GF~3V^\^cHG4T^GT^$]xc3oY¤]kGF YaV'jxRTV^c3h+V'ADG}GUh(ieY=T]kcmY)ce¤V'ZDEHcm\piejªEimT'TF®acm\po]kYD~V^ADGMV'ZDEHcm\BV^cHnUc3\^EieY=oRcm\ oFimcmEHEHcm hDYDYDjk~aG~mTW V]kcmT~3,GFGFVADYD]kG4ceopTA£B]`T]xEYaimV'iGFY(V'\pn ADimGFo 'V'E]xc3&i Y(V'()]kT oXieim jBY(()n!EHcUGieSnUYaV^GFV^GXjk]x]x\^Y(Y(ie~ imYDj~3im]xh(Y(c3imn£~m\'GFimoY(EcmGXEHT^GF]kV^T hDGXZD\'imTXV'\^ iG)V'PS]xADc3c¡cY(ieV'ADjBGFmGFEH\'GXG\GV']`oFADT cmcUEHi nDhDTXoF®jk\^GZ(V^ A=oF]kihDimVADj>GXoYDYDc3GFcmZDG4EHjkn!n GXY(cmADiD\GXjx®V'h cS,cmV^]xADV^j`TFA G ® ]kT^Yah7V^GX\'ocU]`nUiejkZ(]`TWoVBG4n V^c nUi3\'oFZD_a~3ZDT ]k!0\^G}]xYDiA(_a] Z(]ximV^c3jx]x\'V'TXie®DV^]kimmTBGMZDGFY(jknUjGXi3\'TBTV'Raim]kY(GFj`nUn)]kYD]xY(~HnDce]koXiV^*+]kcmY=,TB cmceY Y(-iV'ZD./\pie 1jk03jxR24hD \'GXceT^ GFV^YaADVBGXcmE \B EHGXnU]`oFimjxjkR ]kh(YD\^~+cS5 Y¡]`\^nUc3V'G}E ADV^G ADihDG EH\'V^GXZDieT^EHV^GFADYacmGXV*\gE,icmV^]6\ V']` 7oFA im®UjieYu~aG ieGoEH$c3GY(oFT^]x GX]knUGYaVWGXV*\KGFGFieGXG4Y(Y nU~m]x]kY(VWcm~ ~mcGX YDimhDGXY(j`T^in¡]`RmTGFim\pi3Y(8T TWn¡V'7*Giei3YaGoUV^V^]x]kh7ieGFiYDjkV'jx~3]kcmYD]x\pc3~ T*~m!*ceGFYDY(GGXimVWT^YD]k~mTcm]khD\6cm \'~3cUGFcmoYD GXG4T' TT^]`jxGXTXcST,®(cU,n¡imT*]kjxmjk\^G4]xG4Y(T^TT^~ZDGFjxj`V^VTFc ® imY(n)]xYDA(] ]xV^c3\'TX®U,]xV^AuiTh7GXoF]7oMi3oV']xc3Y)c3Y)V'ADG}V^Z(Ec3\,imT'oZDj`iV'ZD\^G3 h7]kYacmV^\'GXcm9(\'Z=i3\^c3TBoEV^E]kcmG4YV^nUAD]kGHZDGE¡V'VWZD®7EHGFnUGXcmGFY<\p(ieYDimjoG4imV^n ]kYD~mi]kR V^cmc3~3]x\'V'GFTgT*YDieG4h7Y(Tcm]`n \'TMc3a]xT^YD]x]kVWGFA(R+,] h7nU]xV^cm]`TWc3]kV'Ya\'\^TXVX] ®¥ZUV' ADV'o]xGc3V^]kY¤m,G4iT^V^@BT^c3GFAD\'jxTKG EH0j`iiec3VV^ZDV'\'GFj`]nuS\*]`V^jxTK]:ZD mEHnDGGc3V^(c \MYDT^G4nURUnuGXTWT^V'im]xGF~3TgE YuiHV^]`\^A(TG4GTT^ZDGFh7jxGFcmV*Y \'cec3imT^T]imVWYRi ]k9(Y¡\^c3cmE\pnUGFV^\A(GV'cADRSc3]kTGFVj`n)V^]`T^V^T^ADZDGGEHS]k]kYDGF]x,Eh7imcmj¤]kY3hDV4\'®¤GXT'V'TADZDG\'G}mG4nUT^\^T^c3GFh¤jx EieV^\']SV^ZDEHcm\}T^RSTV^GXEO]`T TGXGFY imTi jk]xY(GXie\GXjki3TWV']ko V'5oFY(GFcm\'ADYa]k]V^im ]kj¤YS]V'hDZDcm\'ZD\pcmETh7GFEH\^cmV^ZDGX]kGXnDj`nHT,]xZDimjkE¡;] \^ 3G G*® nUnUV^GFcG((nUYDY(GXG4GXT^nun ]k~mimY T*R<V'iHAD]VpGg\'T}GXET^EHZDiejxieV^V*V^GFGX\'ce\^]`ie]`iej=iej%Y¡nDGF]k]kTj`Y3imV^\'V'T]GFV^ \p]`oZUim]xoV^VW]kV^R¡cm]kcmYV^Y GX]kY(Y+ T^GFcmc3VW\4\'0nD GXGFGF\Y TMV'cimc3ohD\MV^\']kcV^SADiV^]kGnDc3G,h7\'T,cmV^AD\'imc3GMY(T^n ]EVWR3]xiY(®7V'ADV^\^]AD]xG]V',Ecm]x\pV^iTFA V'ADGEH]xY(]xEiejEG4opA(ieY(]koXiej¥oc3Eh(jx]`ieY(oFGm ~3EH]xc3cU~mnUIKGXGXYDGjkTXSGX3 V0T^]k9(T^TGXcmhDojkjx\'V'ccS]x*c3oFY¤GXT¤T'®aT^T0GXG4oTFG V^ ]k cm@B\'Y]kADG z=GF<(Y® RnD®cmGF]xYHmZUcmV'TjxV^G4]kG4YDonMV'GK]xV^c3T^c*YcmEHV' ADG*G0cmh(G \^]xG4YaTi3V'GX\^TY3cU]`o,VpnUiZ(ieV'Y=oF]xc3GnYMV'TADcm]kEHGB(i*EhDjxIKiG*V^i3 A(TimAGFoEVp~a=T iie SV'EH]kYDoXG>cie,ja\pYie<=EHV^ZDcGF]knh(cmie\^c Y=6\ ªnim®FY(TV^nGF\'Z(jkiejaoYaT^V'V^ZDZD]7]x\'V^ieimG4YUjn V'cHcmZD\,hD\'c jxGXE Y GFU]kTV^GXY(oG}V'ADGFc3\^GXE ce%iIgimT^A¡GX_aZD]kjx] \']xZDE ]kT,h(\^c3GXn¥ . . >3>@?1ACB)D)B)D.
(11) z. ()( .' 6 10. GFUh=]xV^GXA(\^]x]kY9EHT^GFGXYaoV'V^T+]kcm\^Y GXjkiesUV^®>GXT^n£cmEHV'c9Gi oc3¢XEHGF\'hDceZU V'TieZDV^E ]kcmY(~3imimjEH]`T^GuT^ZDmGXGFT\pT^ie]xc3\'GY£nU,GA(VpieGF]k\'jxG G4n¥hD®j`iV^ADRmGFGX\pY T0BGieYah(V\^G4V'Tc GXY3EHV]xVWYD0]kEHcu]xYS¢XZDG<EH3GFGF\'\p]`ToFZ(ieT j EoFcmieY(SoF]kjxEHZ=nU]x¢X]xY(GK~V'AD\'GFG}EhDim\'GX\ T' UTTXZD \'G}nU\^c3h+cm¤V^ADG}imT'oZ(jkieV^ZD\'Gm 9 ]xY=iejkjxR3®DTG4oV^]kcmY GXY(nDTV'ADG}h(ieh7GF\B,]xV^AuTc3EHG "+$F *"),$F" " #%$'&(")$ *"+, $
(12) KcmVMc\60V^ ªA(GX® mGF ]kGX\gGX\X]x®7G4YDieV^~A(\'jxGFT^R¡]kE\TWieVpYDjkieGFj¥~3G4GFGnDYDT}cec3ZDie~m\'~3GA)\^chDV^BcH\'cmV'A¤~3h7G®ªcmV,\^TV^c3YS]kjxZUcm]`n¡Y=V^\'ieV^]xjGXZ(YaV^EV'c T,c3V^\'EADTMGXieie]x]k\}\'YDGjkR ~mi \' cimR,T'oV^]kYD]`Z(T'~ejkTimZD\XG mMcmnD@BjkZD] !ªADEHZ(GFRuGmT^]x®¥c3nU,Y¤c)A( YD]xjkceGV}V^YDADGFGG4n GFG4i nU]k YDjx~¡cScU]kn T}hDYD\'GFceV V'h7c3ZDcm\>EH\^,V^cm]kcmAD\pY=T,]`opieTAHjUc3V'V^EHc ADGG*V^V^A(T^]kEHZDGghDGXT^hDTBZDjk\V'R ZDi3 \'oY RG*nU]k]kY+Ya] !ªV^oFcZ(cmT^iHYa]xc3V'nUi3Yc3o\^]kVTE,YDie]xcV^YaAV,EHV'hDcmADA(\'GKGi3TA(GXG c3YDTcmnDVZ(ZDV^~m\^]`]kAT^YDT^~HV^ZDc G3,>oFADcmPU]`Yac(opV^A ®3]kYSV^V^ADZDADGXG*G RnU~3\pGF\^ie3ch(GFBjk]kcmnUV'hDA jkR]kYDT\^V^~=G4c3imh(op@BTXA®DADimi GXT*Y¤o®3\'i]xi V^\']`GXoFimT^ieT'ZDoj7jZ(TV*]kjk¢FimcmG \ @ieZDj`EHieY(cmoF\pG T ,GADVW]kopGFA GXY)nUc!h(\^YDc3cejx]xVGFGX\pY3iV'V'GF]xc3\Y)nUiec3Y=\^En)ieimY=h=oc3R hUV^YDcaGFTG4]`TBn9ceB>ioFRUimY(ToimGXj\BV'GFoF\'GFY(jkjkiTXV' ]x3GV'c!nU;] !ªZ(T]kcmY 5V]kTYDc 0GXjxj V' S@BADYDA(G cG,V'hDZDY\'EHcUV^cmoA=G4\MiT^VoT GFT^jkcmj`R T*jk]knV',c+A(V^GZ(]kopUEA!hDc3\'T\'GXc3T}T'jxTB]`Z=nuV'TADGV'GFZD]kEH\MimT'cmoFo\^\pZ(]xTgV^jk]`imnUoF\ GXimmjTGXZD~3jxc3h(\^chhDBjxR3iV'+A @i3imT^ZDnUoFEHZDiejkcmYaim\^\gVpiei3Y(~mT^GG T^VWcUi3oT*cm]`i6\ \'V^ )GFG4h7n ]`cmT}YD\^oFV^GXieG4cjkn jkGXim n T'Ruo ZDPU j`i3ie
(13) ie\']x\'¢4
(14) ]kiTV^V'c ]xc3Y< ie 1jkjx0 c * | YUT ~3h(]x\^c3G4~mTGXGXYDY3VGXT^h(]kTieh7]`T*GF\4i>ol,c3GXEHi3hDnUjxGFGF\p)T0hD]xYa\'V^cUGXo\^G4G4T^TWTXV'®DGXn+i]xoY)c3EZDh(Y(jxnDGFV^imG EHnUGFG4YaT^V'oFim\^j ]khU V^im]kcmT^]kY¡oXTFcm®S h(,im\ADV']`]kopoFA¡ZDjk]kimT*\^jkcmRZUVp]xY T]`nUSG}]xGXV^ A(GceT^oFEcmieh7V^G}ADceGXEH%V^ieADVG ]`fKoFimV'ADjBEHEGFcU\ nUGX| jx]kYD~ l,oGXc3i3ZDnUjkn9GF\p\^T,GFoGFc3\ZDjkV^n¡c\'V^GA(GXG \BV^cHGFjkV'j,ADnUG cU oZDGF~mEH]kYDGXYDY3V'GXGX\'n9T,V^\^ZUGXV'acm]k\'GF]k imj¤h(ceie h7V^GFAD\ G JgR9P¡LuIKieieYaV^]kV'cm¢XY(ieim\']`j TF5 ®>Y(!TV^G]xV^DZU V'GieY=cmn \ "imY(oGX\ |Xz ¤cm\*imY)]kjkjxZ(TV^\piV'GXn ]kY3V'\^cUnUZ=oV^]kcmY h(jk]`\^iecUj=!nUoFZ(GFGjkoFjkGMTXT % mimGF@BY(V'n)ADopAuGF\^\'GXGKADjxG4GXie\^im\'G4T^GBiGgVWV^]kY+GXc\KV'EHADiHG iemdWT^cmGXZD\^\\^Ra\'~30cm\^Z(T^cY(]xBEHnUV']khDAYDjk~ ]x (imV'GXo]knuV'T'cmTnU\>Z(G4G} T^imoFT^EHh7\^]kGX]xhUjko]xV'G4]x]x=TFc3oM®3YuV^~mA(ce\'G*cBieimYDV^T'~3A+o]xZDc3 im~mj`ieoGX\V^YDcmGXGX\pY(T^T]knUTB,cmh(V^AD\^AD]`cUopGXA+ojx]`G4ieVpT^j=ieTX~m,\'~m\'@cGVBZ(BEGFV^AY=c3nU\g ceimoFV'oGFADV^jkcmGjkT\ jk]xGF\pi V^9]kcm%YuieimY(Y(nHn imYDnU~m]kS]kcm]kT^h7]xc3cmY¡]kGV'ce]xYGF Y= nUYDce~eV'pAD%GF@Bjk]kimADjGXT^oFG,GFjk~mjkTX\'®DcB\'cmV^AE imioV^YDcmG4\pieT%\ ]kY(R)nUGZ(UoF]`GKTWV'i]xYDop~+ADGFmEHGXT'cmT^V'GFimj¥oV'V^c]`oEim\']kn)~m\pV^iA(V'G]xc3V^Y¤ZD®eEHhD\'c3ce\X 5 Yuc3\'nDGF\,V'c(Y(n<ii R+V^cV'ADG V'ZDEHcm\piej ojkZ(TWV'GF\4®DV'ADGGXY(nUceV'ADGFjk]`iejoFGFjkjkTKhD\'cSnDZ(oG GXYD¢FRSEHGXTK,AD]`opA jV'knDcmADGFh(GF~m\^Y¡\pcmimV^nDGFimG}]kT'Y(oV^i3Z(ADTjkG G4imT*\GFSWY(L V^G\pVWimLuobGXcmjx\6Tjk SZDpTXHj`ie @B\,A(EGiV'GF\^Y(]xnU cm V^ADADcaGXTWjx]`V*ieV'j]koFT'T^GFZDjkjkGT}T^c3ZD\^\^~a\'iecmYDZ(]kY(¢FGnU]k]xYDYa~HV'c V^ADA(G cmjkV^jxZDcEHcmV^\ Z ! ®ªGXoFTXim®¤jxjkGXc3n¡\^EHE]kieYDV^~ \']oX iehDE]kjkGFjkV'imim\^jR V'MLuA(\'cmic\'V*BGFh(cV^\^mAc3GXE\Xim®mocmGV^V^UcmGMh=\pYDTXGX®e\^GF]kGFcEHY(i3nDGFT^YaceoFV^V'ZDA(imjkj7GFimjkim\^]kimY(]k¢XjDn+ieoV^oFGF]kjxjkcm]kj`YDY¤T>]`®aieoFADY(imGXnj=Y(GXnUoaGFG]`~3nU]k\'GXYSi3Y( nUoi3]kGMTYD]kT~gmZDGMGX~3YD~m~m¢F\'G4cRSTWBEHVpTV^GXA)V'T>A(ceimi\^VGV^V^ADV'ADADG}GMGV'hDZDV^\'ADEHcU\'ocmGFGXG*\pT'TFimT YDcm~m]kcmEH~3GGFVpYDim]`T=o V' 3imT^GF]`RTF®a i3,oADV^c3]`op\'A T EA=i i m mG*GX=T\'oFTieV0Y=hDo\'GFcm\h7nUc3]kT^T^GXGXni3TV^GA(ieh7VBceimV'GFY3YaV']V^ ]`ieieY(jkjk~mR]kcmjkG~mV'GXA(YDie]`oBjV^]kTADGXie\'YDim~3hS]xRHc3~moFGXcmYDZDGXj`nT^]kT nUGMGFZ(h7TGFG4Y(n+nDi3GFT0YaVXimuY3V'vD] oF9Dimc3Y(;j o SGXE\0ieTV^Y \piV' GF~m 1R30®3, ]x|4V^ s A V'cmADGB]kYDADADGF] jk h]xV^cecm=\pY=T*iimV^\^Z(G}\'imiejaYac3V^]x\> ie\^ V^]x =o9]`ie®(jimY3 V' ]W L )Lu1(b T*V'iecMY(V^n)ADG,]kY(onU]xV^Z(G4oFn GF\pV'TBAD\'ceGF>G,ieieh7YDcm~3hU]xV'c3c3~mT^GX]kYDT]kceo % mGFGXY=R}nU ceimV'oADV'cmGFjk\p]kTFim j¤%oGXDjxiej`TFEH hDjkGXT. !#" >$!&%.
(15) s.
(16)
(17) . j`iGV'VWGX#gn)GFZDV^GXG}cY V^T^cHh(cm\^EH]xcaV'TGT,oFceimcm%Y(EHn£]xV'hDT*ojkcmT^G]xUY=EH]T VWhDR3 jk®D| ]x( ieGXYa n V^]x EHLuieYDGXie~3opV^A(]xADc3imGX~mYDEHGF]`Y(TieE]kV^o*]`oFT,V^imADojc3GXEH\'ZDimj`cUnhanUR GX]`GjxTB]kYDZ(YD~ T^cGBieZDY(imj¤n£nDV^n(coi c3RSieEHTY=hDTTV^ZU]kV'GFjxjie\,V^i_a]kcmZDT^Y(Z GXimT V^jBdW]kGXcmGoY=UV*h=T,ceGX\^%\^]`T^]knUEHGX]kn T'GFoYa Z=V'R+T^THT^V^]x\'c3ADGY G T^h7GXo]`iejk]`TWVpTF }# )*}# $ 0 *F$X"+ iGFmLuU\^G¡c3A(TiecmV%Z(McmT(V^YD]kV'c3mADYDG G,jk]xoYD] cmG4Yaiejk]xV'\c3\^~m] h( \pimieZU\'hDV'i ]xASc3 RY(c3Tjx]`]`T,o V^chD\^\'oG4GXc3imT^Y3oGFV'V^Ya]x]kV^YScmG4YUZDn¥Z(nUE ;] !7EZ(T^i]kcmV^A(Y GFEVWRaih7V'Gm]koX®BieT^jUGFEHGucUGmnU ~(GFj`T%ce =V^® ZDEH cm\^ z]xgY(imnDY(Z(noG4n | ieY(g~m,]kcmAD~mGXGX\^YDGuGXimT^]`Y T B @ D A 4 G T B G H E U c U n F G ` j > T e i ' \ G m i ^ T X G n m c Y X G a _ ( Z e i ^ V k ] m c ( Y T , D A ` ] p o A F G U D h ^ \ 4 G ^ T T ]`h(oF\^imG4jTGX\'Y3GFjkVpGFiV'im]xc3Y3Y+VG_aDZ(oFieGFYa\'V'hU]V'VB]xG4\^Tgc3jkE@:] mG"0i3A(T ieh(jkjximcS]xcUY n< oFGFjk]`jkT,TMimc3T\gcmGFajkjkV'c\'*i3ToGX7 jxjkZDj`ieim\KjkimEY(oieGV^\'cm]\><oFnUcmGXY(Y(T^T^GF]\'V']xG4iTFV^]kcm YYjki *]kjxjkT Z(cmT=V^\phDiASV'RU]x3TWG . . . . 8 : 3 . . &(')( * , +.
(18) !#" $ ! ! # / " . ! 35 % 02143 )BA
(19) < > 6
(20)
(21) <;=& > 8 ?@ % C ;D6 ED) % F 3. '
(22) 6 * ,+ ! 8 # % 7 ! " 9. W| !. ,AD7GXnU\^G GFY=T]xVWRce V^A(G jxcScUn)mGXT'T^GFj`T 7 nDGFY(T^]VWR+ceV'ADGEiV'\^]xV^]`T'TZDG 7oc3Y(oGXYaV^\piV^]kcmY)ce%ieYD~3]xc3~mGFY(]koK imoV^cm\pT c3ZDA(\*fg]xoFjkGi3ZDT\*TG}V^im]kijxhDjhDh=a\'c3]kc3GF\^i3,c3opZ(]kA+YDTB~]`EHT,V'GXTADjknUG]x]`~3iHAa 2 V^ie.'jkY(R+n nU( jk;] +]x!7Y(GXGX\^ieGX \B(Y3 V,GX,jki3\'0TWcm0 V'2 E ]k0;o 1(8V^oFADcm./G EH 1i h= ()GFcV^]k3YD+Gg~H EHEHcU)cSnUnDGF4GFjk
(23) ]kj`YDT,1~3ieTX\'6 G}oF0 cmimY(TKT^]`imnUY¡GF\'cGXn¥mGF \piejkj¤T^RSTV^GXE¡®(]kY i!mYaG V^]xfgTimZDA(YD\ im~mjx]kjMimcm]xnU~3EGFGXYDim]kj}G4TMT,V']`Tcu]V'i3nUA T,Gi(\'ieY(~aV^GieADEHGXi+\ G}\poF]xieY jki3EHT^V'GXT^AD]`0GoFc3ieEjg\ uijx]kV^YDA(G4GFGFiejkEj\+iimGXV'nDjx]kjkimoX]khUhUiej¤V^V^]`G4T^o<n GFY(h=V'T^c¡ieGm\^ V^V^]`ADieGHj}nUc3] \^!ªEGF\'ZDGFj`YaiV^V']k]kcmimYjgG4ce_3,Z=ieiYDV^~3]kcm]xc3Y=~mTFGX®,YD,GX]xT^V^]kADTM]kieY Y=ni T'\pi ie 3EHG%GXce0Doc3j`\ ie )\']VWcmRK\Mce,aV^ADAD]`GopA GFUGh=Uca]`TWTV'ZDGF\'Y(GmoF®4GimGY(nUnuc,ZDYDYDceV]`_anUZDGGFVpY(ieGX]kjmT'TgTWVpcmieY(n(Tc3iejx\pZDnKV^]kcmZ(Y(Y(TgoV']k]xTMc3Y(ieGFjmjkj T^h( ai3Y(ocGX,TX®4Y¤0® G4 |Xi y ,c3PS\^Ec=®7ZDjkcmie\MV^]kcmV^ADY(GT imY(n)\^GX~mZDj`ie\']VWRi3T^T^ZDEHhUV']xc3Y(TcmY V^ADG n(iV'i(®UZDYDjkGXT'TB]%YDG4oGXT'T'ie\'Rm . 3. 8. G >H. LMN. HIG >H. KJ. OQP2R@SIRUTWVYX[Z]\W^B_[X[R\WZa`cb<R@SedgfhZidgTWXjR@S. @Bi3TgA(i)G+Gh7ScmV'\'\'cmi3Z(oTgGFjkEHjkZDGXjkimnU\]kZDEE¡i®¥V',\^]xAD ]`opimA<TcU0oFGXoFjxZDj,hDi3]kGXT T}V'ADi+G+3cmV'ZDjkZDEHEHcmG \piejimT'oZDj`iV'ZD\^G ]xV'T jkcacU¤® n9T^GFYDG GVW=~mcmZD\6\' G! p|mie®ª\',G+]xT^V^GFAGXYi lk[monqpsrut. >3>@?1ACB)D)B)D. jvKwyx{zg|.
(24) ()( .' 6 10. . Mother VESSEL. p. k. TUMOR MATRIX TISSUE. 9. ]k~mZD\'GH|7 9 xj Z(]kn¡S]kGF,h7cm]kY3V. h7imcm\^\']`c3i T^ ]xVWjkG,R h7cm\'c37 T^]VWRnUGFYDcmV^G4n R ®a,AD]`opAjx]kGXT GFVW0GXGFYHV^A(GKEiV'\^]xh7cm\'c3T^]VWR 7 . 7. 7 . 7 7 . 7. ieY=n jxcScUnHmG4T^T^GFj. @B i A(GH®UT^,]kEADh(GF\'jxG4GMTWVV^ADG}*+hDAS,RU T^]k oXieEHj¥cSZDnDY GF Sj%YDccm,\Y h7cmie\'cm\']kZ=i Tg jkEHGMG4]`TBnU]khDi)\'GX]`TMT'TV^Z(AD\^GHG c3jx7 jkc,]xY(~(®¤iej`T^c S YDc,Y!imTMV^A(G J.
(25) % $hr 7 ! | . 7 . . . k . . 7. w x. . . w x. . . . w x. \poR t&!. p. # . . xV'] V A(i]`T V,@BimADT'GBG TZ(V'nUGFEcH\'E G4YDn ce VBV'c Vp\'i GF mhDGG}\'GXY(]kT^YaGFGFV^~mYacjkV']kT>~mim]oXiM ojx\'cmGGXZ(T^oFY3]knDcmV,EHZ(,ieh(A(jDieieT^\'cmV,GXZDn<A(\pieoV^hDGBc h7cmV'GF7ADY=YSGTBZU]x]xV'Y(YS\^BT^]kGF]`nUieYa\pG}V'n T V^AD RG}jxcSnUV'cUZD] n#!ªEHZ(<(cmT^c\,]xc3 ]xYHV'T^ V^GFAD/jxW\'®(5cmVoZ(c3~mTY(A(AT^cm]kV^ZDnUADj`GXG,n \^]kADYD ca~GTWV>cmYDYDV'cm]kjkV^T'R]`T^oZD]xG4V'Gmn T ® cmZ(Y(nDie\'R i3T,ieY¡cmZDV^jkGVX f S]xc3Z(T^jxR3®SV^ADGhD\'GXT'T^ZD\^Gg(GXjkn¡nUGXh=GXY(nDTBcmY V'ADGh=c3\^caT]xVWRnU]`TWV'\^] ZUV']xc3Y¤ - 1)2 0; 8 1
(26)
(27) -(6 482 ./1(! 1 -./ 10 ( 1
(28) ./, 1. ® ,]xV^A£i h7cm\'c3T^]VWR T^Z(opA V^A=iVV^ADG)V^ZDEHc3\c3hUV^]kEiej jkcacUn Y(GVWcm6\ EH]kYD]xEH]k¢FG4TV'ADG¡i mGF\pie~3GXn h(\^G4T^T^ZD\'GMnU\'cmh @BADGh(\^G4T^T^ZD\'GMnU\'cmh¡nUGXYDceV'GXn #R "$ &% ]`T,~m]kmGXY RV'ADG}cm\'EZ(jki 7 =J. =r 7. |. " $ r 7&% |4('*)+ h$, 1 '*-. 7 h$*/. !#" >$!&%.
(29)
(30)
(31) LM. O. V d SIT dgTWSg_q` XjR\hZa`lb<R@SYdgfhZoZ d Sg_ Za``>TW`B_ S4Xj_ d SI^. KIi3Tc]xY ®S(cm~3YDZDG}\^EGF tDi R®SjxieGFV,j`TcT'i oR+c3iY(Tjx]`]knUYDGXG4\0ie\,V'AD]`TG}cmADV^\'c3cmThDV*]`ToeZ(®S\^YD\'c3cmYDZDADY=cmnUEH]xY(c3~ ~mV^GF]`Y(T'GFTZDcmG}Z=TFim®aT,GFj`iimToV^c3]`YaoMV^EH]kYaieZ(V^ZDGXE \^]`ieEHj>GX@BopA(ADim]kTBYD]kEHoXTcUEnUGXG4j¤nU]k]kTBZDEcm V'oFimADcmY(GZDn \p T^nUGcSGFc~3i¡ \'i3onUca|mGXie| nH\pTV'GH]kcmT'ie\T^h(ZDiehDGXY TX\^c]kUYa@B]kV^EAD\'cSGinDV^nU]kZ(GFcmo~3YV'\']xi3c3cenDY 0iV^V^V'ADc]xGc3Y+ i3]xooc3V^c3EHZ=ZDieGXj`njopA(EH imG YDGXop]knUoXA=ZDTFieGMYD]`V^@BoFcHimADjGX]kTT V'GFiEHA= GXijknU]kaT^]k]kADZDcmGXE\}n+cm]`0TimV'T'oFADocmGZDEHj`jxie]kh=\'Sca]x]x¢4Y(TiG4~)V'n ]xV'c3]kceYT'*T^cmZDAD\G G4V^iecjxV^T^ASimGFYR G G4T^GFieY=\'jxTR"G ! GXYD ¢FGRSVWEHGFG GX Y Ti3V^A(oV^GB]kcmnDYGF~m®e\pjx:] im mnDG,GXi3nT EV^ADiGKV'GFL \']kimL jmbV'GFT%Y( T^iecmEH\ ]kjxR3 @B®mA(imG,Y(nGFj`V'imADTV^G0]`oc3]x\^VW]kR~m]kV^Y(GXimY(jmT c3T^\ imYDGªjx]kGGXST V'V'\'ADi3GFoY GFjk jk]xZDYjkimi\oEGX\ieVpV^ie\']k]Y V'GFY(T^cm\ V'cm\ "0c3YUcm\'EH]xYDTc3~}jx3V'cGXT V^A(GKjk]xYDG4ie\GXjki3TWV']koF]VWRoj`imT'T]`oFimjDGX_aZD]kjk] \']kZDE G4_aZ(iV']xc3Y(TF®mV^ADGgnU]kT^hDj`imoFGFEHGFYaV3GXo .
(32). . . . r |. .
(33) % $ hr r
(34) | |. . . . r. r. @BADG TV^\pie]kY)V^GFY=Tc3\BnDGFYDcmV^GXn R. | " | ". r r. . . |. w x w x w x. . . k p. ! . ]`T,nUG(Y(GXn ,]V'A¡c S]xc3Z(TYDceVpiV^]kcmY=T,imT . | . , 1 v. . , 5 . B@ ADGEHG4opA(ieYD]`oFimj¥TWV'\^G4T^TV'GFY(T^cm\,]`TB~m]kmGXY R EHoFjkimcUEHnU@BGXh=ADjkG4T0G nuV^ A(V^cUGMc)nUTV^RV^A(\'GGXcmT'\pEHTo]kcmG4Y(T}V^nUADZ=GXT^o\MZ(GXop3n A GXT'imTRHGXTj V^TADGXGgjV^ ZDGFEH ]k~mc3Aa\'\V^GFgj`~3i\^ieV'c\'GXBGn V'nUADEHGF]`YDTcUcmnUnUV^GXGXG4j%YDn oXceieV' GXY R n GR®%imcmY(Z(nY(@Bn V^A(ADGK]kG)Y V']kYDT't cmTZ(\'E,GgADie]`T0j%GX\^i3V'GT^GFT^Y(V^ZDADT^EH]xGc3GXY imnZU,V^V^ADcADc3]`op\'A GT TV^Z=nU@BRADV^G}A(nUG ]`TTWh(V'\^jki3G4T^oTBGFEH]kY(GXnUY3Z(VoFmGXG4n¡oV^nUc3ZD\ \']kYD~nUGFi h7 GFi3Y=T^oFnDZDTj`cmie\0YV^V'ZDADEHG cm\Kjki3~mTW\'V'c]koFB]VWV^RA¤ V^GXY(T^cm\ >@BADGMjkieVV^GX\0]xV'T^GFjxnUGXh=GXY(nDT c3Y+V'ADG]kY3V'GF\pimoV^]kcmY GFVW0GXGFY¡imoV']xieV^cm\pTBieY(n ]kYDAD] ]xV^cm\pTBceV^]`T^T^ZDG nUGX~m\pimnDieV^]kcmY¤ 5 Y RoFZ= cmTYa]kT^YDV^GX~]koFYScmZDieY(jkZDjn+EOi ZDEHieY(]kjkGXn(i opie A=EHjkieGKYDGFYa]`i3oFV'oTXimV^®jc3]xim\'V TT']kT^]xT}ZDVKEHZ=oTc3hUZ(ZDV^im]kjkcmn¡j>Y¡V^oFcucm]`TBYaoFV^V^cm\'A(Y(cmieT^j V,]knD V^c3GFADYD\}GG}V^ADA=Gc3iDTVieV,EHT^V^Z(hD]`T^opjkT^A G}ZD]kG~mT*c3]`]ximT,YDj%A(,]k] T ]k jxjk]xi3]xV^Y(opc3~HAD\'TB]kV^GF/ccmm%G4 mn L GXGF L h¡R<b]xEV'T T,!ie]kSYa]kV^EHGF~3]x¢X\^]x]xVWY(Rm~ ® V'ADG TV^;] !7YDG4T^TX®Ucm\,G4_aZD]ximjxGXY3V'jxR3®UEH]xYD]kEH]x¢X]xY(~HV^ADG oFcmEHhDjk]kimY(o'G 7 ! r. | . r. |. . . ". "$# r % 4 | ' ) . ". " $, 1. " . ' %. $*/. ) w ]k jkjxYSYDR G4T^TEimG4Y(nU]`n<oFieV^jADGHV'\^ADG4iG4V^ieEHjk]xYDGX~uY3Vimo~mc3GFZDYaVpj`n TF @BG¡ADT^GXGFT^GXGY9ieim~mTHGXYaimV'Y T}ieC\'G GF(U ,h=G4o V^ G4n6V^ c¡! A(i mG ! ieYaV'im1~m( c3.'YD]k T(V^]`o c
(35) dWCG4o V^®]kmV^G4ADTFG &. >3>@?1ACB)D)B)D.
(36) ()( .' 6 10 . . . %% &&%% & & . (''( k. %.
(37)
(38) . Mother VESSEL. DEGRADED TISSUE. !"!! !"!! "" ######$$ $ ##$. . TUMOR. p. HEALTHY MATRIX TISSUE. x] ~3ZD\^G t 7 PSV^\'Z(oV'ZD\'imj¥S]xGX,h=c3]xYaV L \pieYDiEH~mV^]kA(GXcmGF0~3EGFc3YDi\ HG4V']kToX]`]`T,TiejS0ie~3Y(GXimjxn£Ej¤i3ieG4nDT%YaieV^ie]xhD\' V^GieGXYDnUn¤~3GF ]x(c3YD~mG4GFnY(GX T^R]kT V'DADVGBYa]xYaZ(V^E c! V'GFAD\>]kTce=nDhDGXjkT'i oR3\'GF]xhU\pTV']ximc3Y(Y¤n®V^c3AD\G*T,V^AD\pi]`opV'A£GF~miRT^~3h(imimEoFGGF i3V'TADGF0c3GX\^jxGFjDV^i3]`oFT imi j jkG4c3imT'opT A c3hD\>j`i c Rm GFdW\ G4 T0oV^c ]km G"dWGX!oV^ZD]kY(moGV'nU]xc3GXY¤h=®eGXY(c3nD\%T,GXimYDopcmAV*cecm=YDV^jkRADG,c3h(Y jkiA(R3GFGF\,\pcmTF\,}A(]kimT,EHcGX,T>Y nUhD;] !7j`iGX\%RmG4\^n)c3TEV^\poij`V'imGFT'~mT^R3]koX® ie jSZUcmVKhUimV']xjkEHT^cH]k¢XcmieY V^]kV^cmADY¤G ® j`TiiV^V^\pjkGXV^iGXi3V'\*GFnU~3GFT]x\*GXG4Y(TimTY(hDGMnj`iV'A(Rmc3iG4jxnV,jkcV'ADRGFGF\p\'ieT Gjkj= ]kV'T,GFADA=imGMi Y¡ace]kcmV^cmA(\p\4nUGF%GF\Bl,\'hD]xY(GXj`ii3~RmnU]kGFGFY \p\pTXTV^ ]kEHE}i GieR+EHcm\^G4GFT0V'ADGFE\BGi V^hDRcHj`i V'RmADG}®DG imTV'Y(iecSn V^c ]`jxo* G4imc3 nU\BR ]knDYDMRa~HY=] Dceie EHV'c3GF]kY(Y omT ®SV^EcH | G4GFieEH YDGX]k\^YD~3~GFY(]xY)oFGMV^ADcmG V']kEH]xc3h=Y(Pac3TBVp\,iVpV'ieAD]kYao¡GXV \^~aG}YDieV'cmEHADV^]kGFGXcm\'TXY G}®]k\'ceT,G,Y(GF\pc\'i\'V'hDGX]xc3n \^GXY(h=V'iec!c3jk]Y(VWT^RnUcmGXEHce\'BimGFV^Y(V^]kA(oEGMGG4]xhDTY j`iimV'RmTADGFG \pTXcmjk]x®\pY=nUien GFY=\,n!c3cm\V^ ADTh(]kGEjki ZDR3Z(jx= Y(V'im9DnDYDcmieGFEH\*c3T^GXZ(]kY3ETXVp®0ieh(iejjx]`\'oimG¡]xT'VWTnURmZDGX®DEHT^]x~3hUG YDV'T]xGXc3 an Y!]kh V^cmADA(\GFie\'T^VG}]V'V^V^Z(A(ADi]kGT \pc3i\gV']k]xY(c3Y(oFcmieEHjk]xVWhDRjkG]`V^TBGHi]kYUoFcmcmEH\'EEHicmV'Y ]xc3 aY¤Y(®ªcE,G4jxG4ienUYD~m]kYDG3%~)PaV^VpA(iieV'V]koMGXieimY(opAn hDnUj`RSi Y(RmimGFE\g]`A(ogim~3T}iei EHoG4c3T0EoFcmh(ZDjxGFj`V^n+G im jknUT^c GFV^ GX\^G}EH,]kYD]V']kA TV^oF]`o cm!gEHc3hD\MjkGimV^Y G ]kh(Y(jkoFi cmR3EHGXn¥hD jkGV^G hD\^c i ]xjk]kTV^]`o ! SYDc,jkGXnU~3GgcmV'ADG}ceV^A(GF\ TBc dWGXoV^]kmGm®S,ADGXYuioFcmZDhDjkG}ce%TWV'\'ieV^GF~3]xG4T]kT PSc3jxZDV^]kcmY(T+V^c ~aieEHG hD\'c jxGXEHT ie\'G oFimjxjkGXn GX_aZD]kjx] \']ki( 5 Y V^A(G<hD\'GXT^GFYaV)TV^Z(nDRm® ! ,1C) ( #) 1 , ! ,6 .+-0; ]kYUc3\^EiV']xc3Y9EHcUnUGFjk]kYD~cm*V^A(G)~aieEHG GVWGFGXY imYD~m]kcm~3GFYDG4T]`TimY(n9imY3V'] imIgYDim~mT^]kA)cm~3G4GF_aYDZDG4]xTjk] ]` TX8]xZ(5E Y<®=V'TADGX]kG}ToFoF]imV'GXT^Gmn ®¥\'Y(GceGFV^\']kcmGFY=YoceGi GX _acZDm]kG3jx] \']xZDE ,AD]kopA!]`T}h=GX\V']xYDGXYaV}]`TMV^A(GY(cmYU ocScmh7GF\piV']x3G cm~3 ªGFGYDVV^ADGXZ=\^G,T%]`oFV'(imZD\pjxEHjkTWRKV cmnU\0GX\^]YD]kVpG Tcm<(GXEHRj]kY(nUimGXiY(T'V'noGX\'n V^] AD GKGBR}hDV'@AD\^ZDc3GKjxEH]xieGFc3Ya\p\'VpiimieV'j~m]x c3Y(YD~YD]`~3TWGFV']xY(c3]konU~mcmGX]kY3V^YDADV']kGFoGX\pjx9=]`imieimoj7oV^o]kV^cmcmGXY¤jx\pj`Tª%TF®3cm@BE\ AD@ iG, R]kjx9Z(jkYDT^ GXG*T^T'Z(EHTopimGXA~mopimA(GXTY3imV4L<YD®e]`TLuEEiebT]kTYDimjkimY(RY(nHnoFcmhDEH\'ceh=V' GFca]kT9Y(G4TFpn ®® ,A(]kopA) i mc3\0V'ADG nUGXmGFjkcmh(EGXYaVBcm jkcScUn)Y(GVWcm6\ STX *GFY=oGm®(,]V'ADcmZUV*]kYDAD] ]xV^]kcmY 7 9. 7 . 7 r*),+.- |0/ 21. . r3)+4- |. !#" >$!&%.
(39)
(40)
(41) . ~3c3GF\YDnUGXfgG4\^TWY ]`V'oF\^imV'cjxADRgjkR}GV^V^A(ceGXGV'\^ADEHV'GFZD\G4EHnA(cmimie\ Y3Y=YDV'n¥]GF®c V'ADY(imG+T'~mo]kcmA(Z(~mGXjkimGXie\^YDjk]`]k]`T^YDo ie~ V^9=]kimiecm~3oY¤V'GF¤cmYaPS\pV T Z=EcmopA\i iR<ie YaZ(V^9]xT^ G+®e ,ieYDADYa~3]`Vp]xopc3ieA~m~mGFc3]kYaY(YDV^]k]`GFo=TW\^V'9=]kGFoHim\'oGBEHV^cm,GX\pop]TV'A=AoFiecmYD@ ZD]` Tj`nE90 T ®eG0V^im\'GXY(RaY(n ]knUYDc3hD~M~m\'V^GFcecY(V'GFGFT]kV^cmY(c3Z=TFh T ® jkim:] Y( mG¡n im\^TGXjxG4]xY(imADT^GX] n ]V' cmR \pTHV'ADce}GuL<GFY=LunUcebV'THADGFhDjk]k\'imcUj*nUZ(ieY(oG4n9n V^Z(R Ec3V'AD\'imG¡j*GoSGXV^jx\pj`TimoFV^GFADjkGXjxZDEj`ieT\GXjx3EGXiT V'\^ ]x5 ¥Ya®V^GXcm\\HGX\^]kYDc3ADY ] 0®]xV^cm \pTYD~3hD]x\'cacSTWnDVpZ(iV^o]kG4Y¤n ® Y(nUc3TV'ieV^]kY¤®kxk ! | ®Dc3\*ie\^V^]x=o]`iejkjxR]kYaV^\'cUnUZ(oG4n¡nU\^Z(~3TX @BASZ(TX®U]kY h(\^G4TGXY(oG}ce ]xY(AD] ]V'cm\pT 7 / +.-. 7 r*),+.-. 7l. |0/21. . / +4-. r3)+4-. | ". oF\^GFG4A=im5 i T^YaaGXV^]kTZ(cm]\4,V' ]x]3V'GFA9jkRm\'®%GXV^T^A(h=G)G4oh7VcmV'\'c!c3T^i ]VW R 9 TF®>]kY(,oF\^ADG4]kimjkG+T^GXV'T ADG),]xGXV^jkA9i3TW\^V'G4]koFT]h7VWGXR!oVV'GFV^Y(c!T^cm@ \ 9 ]`ei T ~mG~3U\^h7G4T^GXT^o]kV'mGXGHn hDV'\'cGXT^A=GFY(i moFGmG®>c3iehDY(h=n9caTnU]xV^GG 7. WMN . _]dgfWZaXj_]dg^. . . _ ` b<R@SIX. @_qXjZ. T{`B_ dg^BR. R@bKdgfWZ. imVMEHV^cmZ(YD\^~aY(TWTgV,cmiHZDVgjkimV'\^A(~3GgiVMjk]xcmV^GFZD\p\}iV'ieZDhD\'h(Gm\^®UcacmimY(opG}AuoFY(cmieZDV^j`ZDn \pie\^jkGFjxR)GF\BDV'VpcTg]k Ya V^c+ | V^t ADGHieY=Tc noFV'imADjxGjkGX\^n GF GF\'- GF1Y(0:oFGX
(42)
(43) T V'ADGF\' GF
(44) ]kY¤ \pieEEHZDGFjxV^]`cmnU\6]` ªTW ® oF]xh(jx]kY(ie\'RV'cmh7cmjk~mRnUG4T]k~mY)cm\'EZDj`iV'GXn),]V'AD]kY¡iIgimT^A)~aieEHGM\'imEHGFcm\6 HoXieY G}c3ZDY(n ]kY | @cmBA(V'G* ADVWGT imhDc o\'hDV^GF]kj`S i ]kieRmcmV^GFZ(c3\pT^\'TjxTXR<im®¤\^YDnUG,ceGFV'Y(V'AD]kceoFG}V^GXG4n¥@n ®ZDEH0R Gc3\'oFimcm®j Y(ie T^Y=]kY(nDn~mGF]k\imcmY3~mi)V'GX]YDVW ]`o ceY(9(~mhDi3]kcmjkoi ~mV^R3c3GXGF\'YD\pT ]`T}o TW@ 9=Vp iimV^o9 ]`V'oH!cm\p,~3T imADEH ]ki opG A)9cmoBcm!MYaoF,V'cm\^ADEHc3]`j=ophDA!nUjkGGXV'oFY(GcmTYa]x]xVWYDV^R\'cmcmj>\'ZDEHY(nUGXoieV^Y(V^]k]kTcmcm]xY(VWY¤R T Z(Y(oV']xc3Y(T,ceV^ADG]kYDAD] ]xV^c3\'TX®DnUGFY(ceV^G4n R PaV'\'ieV^GX~mR+T^h(imoFGXTBie\'GnUG=YDGXn¡imTc3jxjkc*T%7 @ 9 !B]`TBGX_aZD]khDh7GXn¡,]xV^AuiHTWV'\'ieV^GF~3RTh=imoG 5. . C. 0. $ C " . C . rk |. i 9 ! ]kT*GX_aZD]khDh=G4n ,]V'A¡iHTV^\piV'GF~mRT^h(i3oG 0 " r k | #. 0 . . $
(45) k . '*)2C $, . k . ' ) 0 $, . #. jk]kE]x@BV^G4ADn¡G i o c3imY(]xj`TWi V'\'imjxG}]xYaieVpEHTcmcmY Z(Y3VWV,cmc %\'i3GFoj`V^i]kV']xi3V'Gcm\pmTcmimjkZDY(EHn)G]xYDA(\pim] o]xV^V^]kc3cm\'Y(TXT GUhD\'GXT'TV^A(G imoVV'A(iVV^ADGX\^G]`TcmYDjkR!i ,A(]k opA T^]k]xT*EEZDjxcUV'ienUY(GXjxGFG4cmn)Z=Ti3T cm\cmjk jxcjk]k*Y(T n !%7 opADc3]koFG0cm % hD\'cmEHhUVpT>ieY]xYaV^GX\'i3oV']xc3Y GVWGFGFYH@ 9<imY(ni 9® 5 YaV^GF\pimoV^]kcmY i 7 ]r C. C r. >3>@?1ACB)D)B)D. . %. 0 |. 0 |.
(46) |4y. ()( .' 6 10. b cm\'c3T^]VWR 7 % >j`imTV^]`o]xVWRV^GXY(T^cm\87 % jk]: mG , ADPSc3GX\^jx]`G n 5WTcm V^\']kcmT0hDV^]`o}A(GMLu]`nUiV'GXGFY3\'V']k]imVWR3jª®Db ieGXY Y(ieGjkD]x¢4imioV'V]xc3A(Y(cm!EHcmcmh7~3GFGF\pYDi]kV'¢Xcmie\4V^®a]kcmT^YGFG cmh7 GF\p iV'cm\4®Scm\BieY ]xYaV^GX\^h7cmj`iV'GXn P45Lub% ]kEYDZ(ADop] @B A AD]xV^EG+c3\Kc3]xYa\^imGV^oGXV^oF\']kcmi3cmEHoY¡V'hD]x]kc3TgjkY!Go¥c3j` i E h(jx]kGFTV^GFiujkR)mGXim\^Y(R!n T]x]kEHEHEHhDjxGXG3nD®>]kieieV^\ GF jk]R V'\'Gim$\^R3o®]kGFopYaADVXc3B]koFl,GmG4ie5jkV0c3TV'\^ij`n)V'GXT^T}]xV^Z(c3ie\V^]kGFcmUY(imT*EHimhD\^jxGGHcmV'%A(oFicmVZDV^\pADT^GG EH]kYaV^cUcnU9(GXim\^jkc3oXTXEo®(c3V'ZDADcmYaGFV^V,\'ADGGXie\V,]`TKh(jxG4i+imim\YDTV4VBGF® G4EHGXn¡m]`oGXcm\'Y c3\MT']*ioc3EHhDG+]kcmog\'oGhDc3\'YaimcmV^oX~3GFo\^YaZDG4V\pT^iT^c3]xV'ZD3G Gg\pTGnUGX!ªjxGXGX3~moGX\pV^T}im]kmnD,G8ie]xV^V^<=]kA ZDcmY)]kjkn]xY(ceieGXY(ieV'\nuADGh=TV^c3EH\'\^Z(GXc3onUZ(V^]kTZDZD\pE¡EHiejGXnDGX]k_ai Z(iimV'Y(]xn c3Y(GXTXjk®(i3VpTWi V']k SoF]x]Y(VWR~ i3T 7 @cgGXY(n ,]xV^AV^ADGBnUGF(YD]xV^]kcmYcmDV^A(G0~aieEHGm® c dWGXoV']x3Gc3\jkc3T'T¤Z(Y(oV']xc3Y(T%ie\'G0nUGF(YDGXn\^G4Th7GXoV^]kmGXjxR $ % " $ &%. z ! / 3)+4" 4 + &s ! / / / % % / / ,T^cmA(jkZUGF\'V'G]xc3 Y+]`V'T cV^ADV'ADG,Gh(GF\^G4j`imT^TT^V^ZD]`\'oG]xVWT^RcmjkG4ZU_3V^Z=]kcmiYV^]kcmV^c}Y V' AD G ! # \poRGX_aZ(iV']xc3 Y &t !®aieY(n ]`T%V^ADG,nU]`T^hDjki3oGXEGXYaV%3GXoV^cm\ V'@B]x3A(GG TGieV'VHjkie~mV^Z(cm]`\'o T ]xV^~3=ADimY(EHEHie]`jkGmjxoR!®ª3o\'GFcmGF\pEHET]khDcmieYZD6\ <V'EiV'V']kA(]xEHc3iY(V]koXieT}GFj3\^V^GFG4A(Y _aGFZDY ]x]x*\'i¡EHV^A(\^GFG+GXYah=V'cmG4TK\'i]kjxV'~mG4GX]kimY(n¥nuie® jZ=- ~aT* ie()V'EHc) G)o00c3 oFY(cmT^Y(]k nUT^]`CGXnU\ GF,\' GX n - (6 1AD( GX \^G+ 1T^]kTcm~3jki Sie]xEHY(YD~c3GY(EHT^o]xcSY(Gc3V^oFA(h=GHcSGXV^n(\'ADieTFG VWh(\^cUcohDG4T^jkiTXR3 GF\pTGFUopA=ieYD~3GK]kYUcm\'EiV^]kcmY i cmZUVBV'ADGF]k\B\^G4Th7GXoV^]kmGMh(ie\^V^]`iejªcmhDV^]kEHinUZD\']kYD~V'ADG}]V'GF\piV']x3G. 0 | . 7 rC. 7l. . 1. 7. | r |. % 7. 0 | . rC. r7. 1. r . %. | r |. r |. . . . x. gx . . w. xw
(47). !
(48) ". #r. . 0 | 0 | . rC. . C. r7. #=r. . |w x
(49) . x r. |. |#wyx
(50) " . x r. |. . J. WM. $. . h^V. d Z. . . Z. R@b#_&%i_ V f. J. Z(' T{^`^*)WSI^>TWX. !,]xGV^A oc3Y(T^oF]kcmnUYSGXm\¥GFV^+A(GieY(oFimn T^GX T¤,iADGFjk]k\'YDG%GXGFim]x\*V^ADoGXcm\ EHh(i3 oVB(jx,V^GXc3\X\ ®Do ¥]`Tc3iB\*\'nUGXGTVpV^ie\']`]kojkTXV^>]kcmYMcmGh7A=GFi \pmiGgV'cmV^\4AD® G ® 4(/ 2 0 )()2 . / - (' &8)(6 1
(51) $ §S¬ § )2C, 4 r | . .-. 32 46587. /10.
(52) H. :9. r |. C. <;. 0. > >. 10 J1) 0 J . r | . r C?> 0. 1=. . . . . EB DHG. #r. C. >. |. @. #. !. $=r C 0 > |. ACB DFE. >. .-. ,+. 0 |. !. c3\BV^AD G¬¤¬ GXi a TGFV'VMimZ=\T*" ( \pTV^Vgc3YDh=cmc3V^jx]`c3o~mG R3V' A(iVMV^A(GTV^\piV'GF~mR¡T^h(imoFGXT $ imY(n ie\'Goc3YSmGuieY=n<oc3EHh(imoV I. KJ 4. #. !#" >$!&%. r |.
(53) |3|.
(54)
(55) . FGFo UcmEHhD9(\^hDG4\^jkT^c3]kT^imE GXY(n)oc3G4imYDTTBGcmT^h(ZDiehD# \^\'VX GFie®=E\p]xoY Z(RHE oXieimY=GFT^nGYSmce>GX j`jximc3Th(V^T]` oce]xVW%RocmGX+Ya_aV'Z(im]xY(iYSV'n¡ZD]xc3c3TZ(Y(]kY(TTXoF®3 G]xVV^]`ADT0G 0GXZDZDjxY(jY(o SoV^V'YD]k]xcmcc3Y(,Y(T TBY,V^$ A=]xV^ieiA¡Y(Vn \^V'G4ADTGXh7T^GXGgimo\^VBGMZDV^Y(V'cHoADV'G\^]xG4c3\'TY(GXh7TBT^GXh=ooFG4V^imo]kY mV'GX]x 3jxRGG im\^G}ieY(onc3YSV^mc G+im Z=Y(Tn ]kYD0~HG4i i a ieTW\'Vp]kieie\V^]kjxcmcY(imGFj(\,c3T^GF\^EHE]kZDoFj`cmiYaV^]kV^cm]kYSY+ZDcecm¤Z=V'TFAD GgG4_aZ(iV']xc3Y(T t&!ieY=n !!®DT^cV^ADG4TGgZDY(oV^]kcmY(T TV'^c ZDhD\'9(\'GXGF\^T^Ec3h=E G4ZDoE V^cm]kmV^GFADGXYSjxGX3R \GFjkh=cmieh(ie\^T0Y(VXce®>n ]x oFcm YaV^"0 ]kYScmZDYS]`cm3TZ=Gi<UT]VWoF\^R<cmG4TWYS]kV'mT\^GF]`hDo V'\']xGX c3 T^Y GFZU\'V,cmmh7YDGXncmGF\pViV'Y(A(V^c3GXieo\XY G4® UT^T T'$+ieV^\'cuie]kjxY(RV'n ADi1G+$jkYD]xY(oFG"imGX!ieY9\'ZD]xTWVWY(V'Ro]xjkV'j cm]xc3 Y(G)V'TADG,GU]hD=V'A)\'jV'GXGFT'\'\ TGXG4T^ nh7ieGXY=imon VT V'oFADcmGYSmc GF UdW]GXVWR)oV']xce3 GXTX!KieY(nuoFcmEHh(i3oV^Y(GXT'T*ce%V'ADG (jxV^GX\g]kEHhDjk]xG4T*V'ADGGXi 3 TV'ie\,jkcGF\KT^GFEH]`ocmYaV']xYSZD]xVWR)cm V'ADG@BGUAD]`GTWV'i3GFT^Y(T^oFZDG}EHcehU V^i]kcmY=IgTimT^imA)\^GgG4_aZDZDjx(]xjk]jkjxG4\^n)]kZD]kE¡Y ®(cmT^\pGFnUG GF\ V^Z c im]xY hDhD sjkRH V^ADG IgimT^A+GU]`TWV'GFY(oFGMV^ADGXcm\'GFE¡® ,A(]kopA)Ra]kGFj`nDT YV'(c GXo G4IKjkT^i3ceT'oieV^ a]`\'oRc3Gg\oFV^cmA=,Y(iADnDVB]x]V^V'V^G}]xADc3G}nUYH]kZ(TV^V^T^c\'GM] ~3 ceGZUVV^i]kcmcmhU\^Y=G4V'TFTW]xEV' \^ie]`oj7V'T]xc3c3YjxZDcmV^]kh7cmGFY(\pTiV',cmAD\0]kop]xY)A)V^iec3\'h=G*c3YDjxc3ce~mVRi nU~mGX\pT^i ]kR~mYnD] !ª\pieZ(EHT^GgGFnUGXcmY(6\ T H]xV^]k]kTGXTX~3® GF YDZUGX\'V,imojxjkjkc3RT^iG 9(cm\,YSZDEHGF\']koXiej¥GFSh7GF\']kEGXYaV'TX®U0Goc3Y(T^]knUGX\^G4nV'ADGEH]xY(]xEi cm\*nDZDGFj !hD\'c jkGFE r |@. . #. . 0. C. r |. C. . #. 0. #. rC % 0 | . %. . $r C % 0 | % "$r 7&% |. 'VV',ADADA(G+G ]kopnUoFAucm\pieYaEH]kV^Y(\pcUieienU~3\'GFRuGgj`TKcmV^A(iHG+V'~aADieTGG4EHoYDGc3GY(VW,n!ADcmhDGX\6\^jk iG!R3V'GFAD\GB(ie\pYaTVKV'ThDV^j`ic RmEGF\KiU]kimEHY3Vp]x¢XTBGV^c+]V E cm]kYD\4®]kEHG4_a]x¢XZDG]xV^imADjxGGXY3hDV'\'jxR3GXT'®TBZD\'ieGYaVpnUT}\'cmV^h¤cu®=EH,]kADYD]x]xjkEHG ]kc3¢FY G PSZ=opA¡i~aieEHG}]kT,imjkT^'c aY(c,Y i3TiH¢XGF\'ce TZ(E ~3ieEHG3.
(56) ¡ # }# $ "+
(57) <,%$F*"# PUcmjka]kYD~i~3imEG}oc3Y(T^]kTV'TBEie]kYDjkR+]kY+=Y(nU]kYD~]VpT,GX_aZD]kjk] \']kZDE cm\*T^GV*cmG4_3Z(]xjk] \^]`iD Ti3V^T}\piV^9(V'A(cmGFG+~3\g]xYSG4i)ZDTFIKE®ªcmi3 Y(TGFAuG\Z=~aceTie*G4EHhDT}Gmj`]i ®7V'RmGFnUGX\pZD\'iT}G V^]kEHmV'cG]kYDV^EH]kA(EGGV']kAD~m¢XieGXcUV^YDnD]kGFcmTF\p'Y iejk9DhDjkR c3\'\}c T V^GX\'jximGXcmopEHYDA!~3TXjxc R)m@BGXYD\'cmADimY(G4jxjTjx]kG]YDV'GXGFEHim\pi]k\KYDV'o]k]xEc3c3Y¤ZD]k¢X®¤hDiejkcm]xV^Y(Y(]kcm~GY E hDGFZ(VW\'TW0c V GXT^jxGFGXcmYuEHjkmV'TGHADGieim\'T}h(Gmjk®Ei ]xR3ieY GFYS\pRi T oFiecmVV'YaGFV^YaGFV^S]kVMcmY ]kEHEhDZ(jxRSTV]kYD ~ Gh(h(ieie\^]`V^n]`ieV'j%cnUG;] !7$GXo\^GX]kGFY3YaV'V4]kim®Sj%V^]kGXE_aG Z(iT'V'i ]xSc3]xY(Y(TX~H®7cmim0jx~3ADcm]k\'~m]V'A!ADEoc3TFE h(ZUV'ieV^]kcmY(imj oFc3TVX®¤T^c)i)h(ie\^V^]`oZDj`ie\ jkGFjk]k¢X!iV'G}]xc3Z(Y)TG4cmn+V'iADTG}]kEHVW0hDcHjxGh(nUimG4\oV'c3]kimEj¥h7EHc3]xT^YD]x]kV^EH]kcm]xY+¢4iimV'jx]x~3c3cmY)\']hDV'AD\'c E¡ ®3jxGX,EHADTX]`opA+]`T0GXjxj¥T^ZD]xV^GXnV^cHocaie\pTGg~m\pie]kYDGXnh=ie\piejx PaV'im\V,\'cmE imY)]kYD]xV^]`iej¤~3ZDGXT'T / $ . . . >3>@?1ACB)D)B)D. . rC. . 0. . |. @. #.
(58) |t. ()( .' 6 10. oc3EHhDZUV^G ,AD]`opA T^cmjkmG4T $ oc3EHhDZUV^ G GF3GFYaV^Z(imjxjkR]kY¡h(ie\piejkjxGXj ! ,AD]`opA T^cmjkmG4T PSGFV / l*GXnUc ®(ZDYaV^]kj¥V^ADG T^GX_aZDGXY(oG / oc3Ya3GF\'~mG4TF 9(\^c3EV'ADG*~3imEHGBV^ADGXcm\'RS]xGX,h=c3]xYaV4®mV'AD]kT0iejk~mc3\^]xV^ADE \^GXhD\'GXT^GFYaV'T>imY ( 1 1 - () 00 /,6 - () 1 ~3imEG ,]V'Ah(im\V']kimjUGDopA(imYD~mG0ce=]kYUc3\^EiV']xc3Yc3YV'ADG,h(ie\^V^]`iejkjkRcmhUV']xEiejDTV^\piV'GF~3]xG4T GVWGFGXY V'ADGhDj`i RmGX\'TiV,V'ADGGFY(n cmGXi3opA)]xV^GX\'ieV^]kcmY(! 5. C. . 0 |. rC. ACB D E . . 0. . . 0 |. rC. . . 9r. 5. #. . EB DFG. rC . 0 |. . . |. J. J. MN. =. . O. P{PWSgR h ^Xj_ dg^BR {V. @B9 A(G)L h7T^cmcm\'jkcmmZ(GXT\BEHimGXTBnU]`]ki<EHhDG4_ajkGFZ(EHiGFV']xYac3V^Y G4n ]kTH,T^]cmV'ADjkm]xY G4n V'ADZ(GT^]xL¡YD~ cUnUi<ZD@jkG\'%]kimjx] YD ~m\pZDie\'j`ieR\ GFYSS]x\'(cmY(Y(]EV'G GXYaGXV jxGX EHteyGFYa VEHGFV^ADcUn¥ @BADG ieY(@n \^]`ieY(U~mV^ZDA(j`ieG}\ ZDY( oV' ]x] c3 GmY oFcmY(TV'imYaVc3GF\]`TBGXimV^A(opA+GFY¡V^\'ce]kimYDV^AD~mjkG G !T'ieieEHhDh(G}\^Y(c UiV']kEHZD\'ieGmV^ ]kcmY]`TBZ(T^GXncm\V^ADGTV^\piV'GF~m]kGXT \'GXTV^@B\']`ADoV^GH]kcmh7Y)cm\'cec3 T^D]VW®DR¡Z(]`T^T}GXn+~m]kV^mcGXY c V'R im]xY EH%cm\'G}cm\BjxG4 T^T jki3o 3cm\^, AD]V'GMi3oF®oFGF,hUADVpiGX\^ G jkGTc3 jxZUV']xc3Y( TX®ST^ GFG ]`TMi V'oFADcmGF\'\^Y9IKc ce V^V^ADc3]`G¡\'oieG*TV^V^V^G,\pA(V'iieADV^VGX]`T,~mV^A(]kc GXG, T T^cmGF\'\'EieiY(ZDV'n j`]xc3i Y¤ ie\'G]kEh(jx]`o]xV^]kGXEHjxR hDjk]xc3G4T>\'oFV^GXA=n iVV'AD]x G T']`ieT>EHcmG)\poG4i nR3V^cI*Vp i Z( mEGKGXcm\^YD]`oFjkRimj0yGFc3U\Kh=GX|,\^]kEHiejkGFZDYaG4V'TFT ® @BADG}c3jxjkc,]kYD~opA(cm]`oGXT,im\^GM]kY(Th(]x\'GXn)\'cmE V'ADG o]xV^G4n)\'GGX\^GXY(oG 7
(59) ®
(60) , ¡® , / % cm]`T iHb%i3nUTieGXG4\^T'n V^o]`ieGXcmj7YaY VBcmhDT^imGXV^jx_a]k~3EZDcm\'GF]k¢X]YaV'ieV'ADV^]kE¡im]kcmj%Y( oFT!cmYSnUG}mG4T^GFZ(oF T^\^GX] hDn\'G4cmV'nAD~mG}\p]kY)iecmEHThUV^EHV'GX]xh(EH]kYDT ]k~)¢FGXoF\KimcmY(CPE n " b ]xYD5WceG4b ¤n V',,AD\^G}]x]xV^VA!ieV'GFjk~mV^Y cmA(\'G]xR V^EHAD"0E GFADV^AD\^ie]`cU\'TGKn!V^]`i3ieceopY ADEª]xGX]xmcjkjxG4Sc n ]k YDGX~¡\ Rim EHt3T^Ra t G4EHie Y(hU5VT V'ceV'GXT tU| @BADGKcmhUV']xEH]k¢FGF\>Y(GFGXn(T%V^A(ieVV^A(G,Z(TGX\hD\'cS]knUG4T V^ADG,~3\'i3nU]kGFYaV>]xYUc3\^EieV^]kcm$Y¤ G,Z=TG4niMoFjki3T^T^]`oFiej i3n dWcm]kYaV*TWVpiV^G}EHGV'ADcUn ]xY¡cm\pnUGX\0V'coc3Eh(ZUV^G}V'ADG}\^G4Th7GXoV^]kmG}~m\pimnU]kGFYaVpT ieY=n | C. . 0. C r. . . 0 |. %. . 0 |h. 7 rC. C. . r | . 1. -. r. %. . | r. %. -. . r. !. r7. %. 7. |. r |. r |h. -. +. r |. % 0 |. . !. r! | -. C r. . 0. 1. 7. z. |. | . . %. . %. 5. #. . . C. . 0. . !#" >$!&%.
(61) |.
(62)
(63) . . M. R&$ P2Z SI^>XjZ. . d V. @B9=imA(oGMV^cmIg\pimTT^,A+]V'~3AuimEHiG nDGFY(GVWT^]VWRGFGXY)]`@TBZDV'EHADG}cm\piecmjjkjx c,YD]k~3YD]xc3~ ~m7 GFY(]ko9(imoV^c3\'T0,]V'A inUGXY(T]xVWR imY(n+imYaV^]x YD~m]kcm~3GFYD]`o @ 9 ! b>\'GXT'TZ(\^G #g\^c3h i 9 ! / b>\^G4T^T^ZD\'G #g\'cmh !GZ(T^GXn)V^ADG}c3jxjkc,]kYD~h(AaRUT^]koXiej¤nDieV'i 7 C. 0. . A. . 7 . E. 9 1 7 . . . ]kYac3V^\c,@BimA(ADoXG4ieoTV0c3GHZDEnDYai ieVR V'i c3 \BGMnUV^c)oFADimGY(jxjkceGX\'VGFn jkoGF cm2 \'im./\'Y(GX1oT^(GMh= c3ce0Y( ( n¡ZU6V^V^ c Z(0;6\^h(
(64) G imim\]`V'hDT]khDoFiZDjk]kjkoXTimV^i\]kV^jx]kjª cmop]xY=c3A(TFjxiec3 jk~mjkGF]`oFYDie~3j]xYDh(~ie\phDie\^EHc GFjkV^GFGFE¡\pTX®3®=,V'ADA(G]kopAnDiEVpi+Z(ToXV iejk ] GK\pVpii V' m]xc3GXYY V'ADGFG\'!G,mc3opGADjxZ(YDc3ET^GGFSGYV,oFZDhDcmYD\'Y(GX]xTT^V^cmGF\p\'YaieEHV]kYajxVWRV'0TXnUcH ]kTYSV^ZD\']EH ZUGF\'V^]kG4oXn¥ie®mjª~3G]xU3h7GFGFY \']xEHR GXY3VpTF 5 $ Y ie Y(cmn V^AuoFi3T G4BTF®aGFV'3ADGFG\'RS]x,Y(]ADV'GF]kim\'jGm®]kYHieY=cmn\pnUGF\ nUV^GFc}Y=TZ(]xV^j(]kGXjkT j.
(65) §
(66) m % D § @BA(G}nDcmEie]kY ]`T*i\^G4oV'imYD~mjkGm%@BADGZDh(h=GX\KT]`nUG}]`T ®(ieY(n+V^A(GjxcGF\B]`T @V'BL ADA(i]k\GMUVW]xRIgEim]ximV^T^GXj¤A+\'ieiecjkV^jxmc]kcmGX\'Y(imGXT n+jxj= iemjxcSY(cmc3jkn+ZDh)EHVWoc3GMcYSm\'ASi3GFZD\'oY=~mV'nU]xG4c3\^nY(G4]xTBn Y)ie9 V^\'AD0G \'L GFGM\']xZDV^GFY(\pc3T i\!V'V^]x c3c@ Y( oFT cm9 UYS!BGXmimieGXopY=\^A+~3n Gmh( ie \^V^]`iecmjª\ cm hDi V^ ]kE9 ]k!¢X ieV^]kcmYV'cSc ie\'cmZ(Y(n @BADG TV^\piV'GF~3]xG4TF®Uoc3YSmGF\'~m]kYD~V^ciIKi3TA GX_aZD]kjx] \']xZ(E ®=ie\'GghD\'GXT^GFYaV'GXn)]xY (~3ZD\^G4T zeWsU i<T^]kYDZD~mYD5 jkY Gg]xcmop=\'A(~mE imZDYD\'TWYDGV'GX\' j ie®S®V^hDV^GX\'AD~mGXG+RmT^®>GF(\'h(\pSjkTWi]xVYDRU~ h(TjkV^i]ADVpR3TG}GF\ cmmhUc3 jxV'@ Z(]xE E9 ieGMj,!o®%Tc3V^]xY(YU\piTWV'c3V'\'GF\^imEH~m]xR!YaG4V4n!,®3jkADV^cUA(]`oFopieiA VV'GXoFV^n)A(cmY(G)iT^VT^]kTGXV'V'oADTXc3G®Y(oi3n GXTY3hDoFV'j`cm\'i imZDRmj=j`GXn jk\ ]kYD Ggi G) cmGF¤9 UV^!h=A(G4GgA(oi3\'V^T GXG4on¥hDV'®iej`i ]kY(YRm~mG4jkniG =im V^\^\'A(c3TimVKZDY Y(hD Un)j`T0i V^RmV^A(GXcG \*V^A(V^ADZ(imG}ETKThDc3RS\j`EHi RmEHGXGnuV'\^igRZDZDcmYD]x¤V^]xG V^cmADZ(\'GMEYDhDGU\'Tc V^h7\pGXijkoGFV'V'EGFGX~3nU!Rmjk Rm®= ®T^]kV, Ei ]x h(V'T0jx9 R¡V^!*Z(hDnD\^ZUY¤caVp®SG4TgT*V'i3ADYDT*G}cmEVKTG4Z(hDoopcmj`iA Y=R nieiHYahDV^j`Z(]xi YDRmie]GXYDc3\X~3®3\^]xEc3]xYU~mGFADc3Y(\^c3]kEH\^o}]k¢FG4imc3nTKYaV^h=V'A=iecaij¤T^VBT^nD] V^GF ADYUjxGG T^]xVWRm® ZUVKoF\^G4iV'GXT,iHTE imjxj¥GFUoXi iV^]kcmY @BADGXY¤®¤iVgV^ADGHT^GXoc3Y(nuIKi3TA<]V'GF\piV^]kcmY®=V'ADG(\'TVgh(jki R3GF\ SYDc*TKV^A(ieVKV'ADGT^GXoFcmY(n cmYDGA(imTMoZUV c !)V'ADGMi RV^cV^ADGKV^ZDEHcm\4®UTc]VBTWVpie\^V'TV^cnUGF3GFjkcmhiejxV^GX\^Y=iV^]kmGgopA(ieYDY(GFj`TF V0V'ADG}T^imEG*V^]kEG3®SV^ADG ]`T^TGXoFV^cmA(@BY(GFADn)Y G¡hD(=j`jkijxY(G4Rmien¥GXj*®(\ T^]x SV^GFGXYDGM\'cie(*V^~m]kTBZ(cmY¤Y(\^GFc® z=RS]xV^GXA=jknDi]xV,YD~V^A(i!G @ YSZDEH99GFA(\']`i3oFT,iej*iHIgTWV'im\^T^c3A YD~HGX_ahDZD\^G4]kjxT] GX Y(\']xoZDG}E ,]x]kV^T+AD]kTY ADcV^,ADGY£G]kDY oFi =~miZDV'\']xc3GY¤WsU®S ,AD@B]`ADopA G \'GXT^ZDjxV^]kYD~ h7cm\'c3T^]VWRHnU]`TWV'\^] ZUV']xc3Y]kY(~3ZD\^GF nDcaG4TY(ceV0GFUAD] ]V,ieYSRHie\^V^GF\']`iejx V'\^GXG \'imY(opAD]kYD~TV^\'Z(o . . 4. C. 0 . C . 465. #. k. . >3>@?1ACB)D)B)D. . 0.
(67) |Xz. ()( .' 6 10. 9. ]x~3ZD\'G 7 9]k\pTWVKIgimT^A)jkcScmh ]V'GF\piV^]kcmY.
(68) "!$#&%')(+*-,./0
(69) 213" 54!$#&%. 9. ]k~mZD\'G}zC7PSGXoFcmY(n IKi3TA¡jkcScmh ]V'GF\piV^]kcmY.
(70) "!$#&%')(+*-,./0
(71) 213" 54!$#&%. !#" >$!&%.
(72) |s.
(73)
(74) . 9. ]k~mZD\'G s 7=9 ]kY(iej \pn !BIKi3TA jxcSc3h)]xV^GX\'ieV^]kcmY¤. 9. ]k~mZD\'G 7=9 ]kY(iej \pn !BIKi3TA jxcSc3h)]xV^GX\'ieV^]kcmY¤.
(75) "!$#&%')(+*-,./0
(76) 213" 54!$#&%. >3>@?1ACB)D)B)D. " 2 %.
(77) | . ()( .' 6 10. V'ZD\'Gm® ZUV*c3YDjkR+EZ(jV']xhDjkG opA(imYDYDGFj`TX ]kYDAD] L¡ ]xZ(V^c3jV'\']xTXhD jkGgopA=ieYDYDGXjkTTGXGFE V'c G,V^ADG G4TWV\^G4Th7cmY(T^GBceªV^A(GKimoV^]k ieV^c3\'T%V'ccmhUV']xEimjxjkRnD]kTV^\'] ZUV^G4n. !#" >$!&%.
(78) |.
(79)
(80) . 4. 4. =.
(81) §
(82) m % D § . 'V@BADA(G GKo~m]k\pGXocmZDEHj`ieG\BV'\^ADRc3cejxG}¥]`V'T ADGgnUc3 Eie]kY £]kTi}V^\pieh7GF¢X]xZ(E,]xV^A)io]k\poZDj`ie\A(cmjkGm®3V^ADGgZDhDh7GF\BT]`nUGK]`T ® ieY=n B @ D A , G E e i S k ] E e i D j m i x j k j c 0 4 G n 3 m c k j D Z H E G ' \ 3 i o ^ V k ] m c = Y T m i ^ \ G c3\ @ 9 !>ieY=n cm\ i 9 !mIKceV^]`oGBV'A(iV ,]xV^A V'AD]kT*mcmjkZDEHGM\'i3oV']xc3Y¤® i 9 !]kTBY(ceVKi jxGMV^coFcmEHhDjkGV^GXjxR TZ(\^\'cmZDY=nV^A(G o]k\'oFjxG jk] \^@B]kZDADE G ieIg\'imGgT^hDA)\'cGX3T^GFGFYa\pieV'GXjkj=n)jkcS]xY cmhu(~3oZDc3\^YSG4mT GF\'4~mG4n ]k Yut3t ]xV^GX\'ieV^]kcmY(T =TWV'\'ieV^GF~3]xG4TBocmYS3GF\'~m]kYD~ V'cHiHIgimT^A)G4_3Z(] k. z. . h. 9. . ]x~3ZD\'G 7 9]k\pTWVKIgimT^A)jkcScmh ]V'GF\piV^]kcmY.
(83) "!$#&%')(+*-,./0
(84) 213" 54!$#&%. A=h7imGXoT>VXV'® ADTgV'GKADc G]k YUV'T^ZDGFc3\'EH\^mEcmGXn¡\iV'cm,]xh7c3]xYHGFV^Y(A<V^TA(V^i*ieADV,GV']`(ADnU\pGgG0TWVMi3opA(nUYSimmZDYDGXEH\'YDT^GXGFG,je\']kV^h(oXcKieie\^V^jVWADGFRG0UA(h=mimG4GXTT^\^T^]khDEHGFjkjiGF®4R3YaimGXVXY(n®¥n}nUiV'ZDADZ(\'G0]kYDYDim]~Y3c3V'\^V']EAD ieGY(T=~mV^\p\']kcmiTVg~mV'GFGX]x~mYDV^GXR3]`o\'®3ieV'T^V^\^c]k]kcmGXimY¤TT®ªV^cmcgGXYDi3oGKopZUA EHV%c hDi !Rj`i V^RmGADSGXG \ Bi R}\'cmE V^A(G,mGXT'T^GFjaV^cMV^A(G0V'ZDEHcm\4® RT^ZD\^\'cmZ(Y(nU]kYD~KV'ADGBjkieVV'GF\imT%EZ(opAi3T%h=caT^T^] jxG3®mT^GFG(~mZ(\^GF U IKGSVX®3(~mZ(\^GF }T^ADc*T V^ADG*TV^\piV'GF~3]xG4T%c Vpie]kYDGXnHiV>V'ADGKT^GXoFcmY(n]xV^GF\piV']xc3Y¤@BA(G,(\pTWVhDj`i RmGX\>YDc SYDc*T V'A(iV>V'ADGKT^GXoFcmY(ncmYDG,A=imT>T^ZD\^\'cmZ(Y(nUGXnV^A(G,V^ZDEHc3\X®aTc}]xVV^\']xG4T V^c nUGXmGXjxc3hHimjV'GF\'Y(iV']x3G0Bi RUTF® cmimY(RnV'V'ADADoGGB\'GX,(i\p]kV'nDTWGXVGT>c3opcmYDA(h7G imGFYDYu ,YDopGX]`A(nUjkTXieG*®eY(,c3YDh=ADGFGXj¥]kYjx]`GBTBopV'A(jxADcUimG*oXYDiT^YDV^GXGXG4ojn¥c3!%Y( TnV^]khDjxCj j` mi RmGFGXGFh(\4®T>A(T^i ZDS\^]k\'YDcm~KZ(Y(V'ADnUG*]kYD]k~KYUV'cmAD\'GBEV^iZ(V'E]xc3c3Y\c3iYV>V'hDADj`imGKoFTGXV^T>\pi,V^A(GXGF~m\'RGhDc3j`ZUi V^RmjkG4Gn V =V'AD~mG ZD9 \' G]kGXY( TDieV*®¤jkjx\^ER3G4®TZDh7ijxV^cmV]kY(hDV^T^jxADGGMG¡ceoptmA= tieV^Y=YDADn YDGGX]k]jkYDV'TGFAD\pie] i \'V'GH]xV^]xc3cmnDY¤\pGFTB®>m]`GXiuT jxc3YSh=ZD1G4EH n¥V'GF+cH\']kl,oXT^ieZDGXEj0\'\^Igiec36\ZDim <Y(T^A niej`GXV^TAD_ac ZDG}V']kV'A(jk]ZDi EHV \']kcmZD,\4E ]x V^A ]kTi)\^G4GFim opADiG4n¥ie ]kj`i THjkGHT^ADmccm,jkZDY EH]kGmY ® . B. >3>@?1ACB)D)B)D.
(85) | . ()( .' 6 10. 9. ]k~mZD\'G 7PSGXoFcmY(n IKi3TA¡jkcScmh ]V'GF\piV^]kcmY.
(86) "!$#&%')(+*-,./0
(87) 213" 54!$#&%. 9. ]x~3ZD\'G 7 9]kY(imj t3tY(n !IgimT^A)jkcScmh¡]V'GF\piV']xc3Y¤ .
(88) "!$#&%')(+*-,./0
(89) 213" 54!$#&%. !#" >$!&%.
(90) |.
(91)
(92) . . cm]kYD AD~3] ie ]k]xY¤V^cm®¥\pETX ZDjV']xh(jxGopA(imYDYDGFj`TM]kTgV'ADG G4TWV\'GXT^h=c3Y(TGceV^ADGimoV^]kiV^c3\'TKV^c)V^A(G GXTV nU]`TWV'\^] ZUV']xc3Y. 9. ]x~3ZD\^GH|4y 7 9 ]xY(imj t3tY(n !BIgimT^A)jkcScmh ]V'GF\piV']xc3Y¤ " %. " X ¡$F") *
(93) H Ycm\']x~3]xY=iejiehDh(\^caimopA imT^GXngcmY~aieEHG V^ADGXcm\'R*\pieEHGFcm\6 ,i3TªhD\'cmh7c3T^GXnKV^c*EHcUnUGFj3ieYaV^]ximYD~m]kcm~3GFYDG4T]`TX 5V\^GXjx]kGXT0cmY)ioc3EHh=GFV^]xV^]kcmY GVWGFGXYVW0cnUGFY=T]xVWRZDY(oV']xc3Y(T,AD]`opA+ie\'G*]kY3V'GFY(nDGXnV'c\'GFhD\'GXT^GFYaV\'G T^h7GXoV']x3GFjkR+imoV^]kiV^c3\'TBimY(n+]kYDAD] ]xV^c3\'T,cm imYD~m]kcm~3GFYDG4T]`TF V']kYUADGFc3c3@\^\^EcGFV^i]x]`jkV'o+jk]xZ(c3~aTWY<V'ie\'EH~aieieV^GmG}EH cmGm@BZ(®¥\*ADc3G¡ie\hDhD,hD\'\'ADc c3]`i3opjkAopGFA¤E GF®aS0]`TG i3V^GFTnUY=GFo(c3GHYD\^EG4cen BZDj`i iiV^h7IgG4cmnim\'T^cmAi3Z(THTG4i<_aEHZDV'GX]xcmjknD] h7 ]kiHcm\^]kjkZD3cmGFEO~3\pR TZ(]`nUT}TBGXhDT^T\'V^]x~3c\'YZ(mG4oV'Tn¥V'ZDie\pV^ie!]`j¥o)Gjk]x,YDim]xG4T'V^ieTA \,Z(EGXoFcmjkG4i3EHn TWV'hD]kV'oFjkA(G]VWiV^RGV A(h7i3o]c3 V'T']x]xT^V^] c3i \'V'jkT}cmG \p TBcmcm0\MZ(c3V^jkn ZD\'R j`n V^\'V^Ruc i3oV^EHV*c V']xYDc 3]kGFEHhDGF\'h<]xc¢XaGV^AD]`nUV^GADG}GHTV'V^ADnU\'GZ(\pieoV^]kV^Z(Y(ZDEie\p~3iec3G j\*oFce,cmEH]xV'V^ADA hDG jkie]kimY¡Y(jkcaoc3GcUhUn<V^ce]kE0mGXV^ieADT'jT^GGFnDj`GF\'T*imaYD]xV'Y(\'GFimi3VW0~moGXG}c3jxjk\YDZD ¡GFj`VWie]k0Y \}c3EV^\ A( ªiG®UV^\',oX]xim<ADT^]kGimjxG T}ceV^0jkADc¢FG GF\']kYUimceT ¢XT^@BZDGFA(\'E G ce YSmTZ(ZDGF\pEEHT^]xGFc3~3\'(Y ie]koX!EHie j¤G}"0\'c3GXT^EGFZD\'h(GgjxV'ZUhDT*V'\'ieoFGXjxV^T^G4]kGFcmieYaY(\'V'jximR GXj¤n¥oF]k T'ieT^\pZDimGXoTBV^GX\^]kGF¢F\'GMGV^imA(nUG \'GXET'TZDG4jxV^n¥]k®DhDiejk]kY=oF]n)VWR YSZDceEH%GXGX\^GX]`nUoFim]kYDj¥~+GUoph=A(GXim\^YD]kEHYDGXGFjkYaT*V'i3T*TK\^imGXjkY ieV^c3GXhUn+V^]kV^Eciei j \'GXT^h7cmY(T^GgcmV'ADG imoV^]kiV^c3\'T0V'cc3hUV^]kEiejkjxR)nU]kTV^\'] ZUV^G4n ]xYDA(] ]xV^c3\'TX EHGXY3@BVpT,AD]`TT A(TcmV^ZDZ(j`nDn R< ]`G ToFADcmcY(T^]kGFnDmGFGX\'\ GXn¥ imT^GXn!cmY T^]xEHhDjk]=GXn EHcUnUGFjk]xY(~¡imY(n imT'TZ(EhDV^]kcmY(TX+LuieYSR]xEHhD\'cmGF i 19 ]k \'T. VX®a, V^A(,G}]V'nDARaY=]xY(ieoFEHcmEH]koKhD~mjk\'GcV'G*BV^]xYDAcmcm\'¤EHV^A(ieGKV^]kcmV'ZDYEH~3cmim\EEG,Z(]`T>TV jk;] 3 GFGMjkR V'i V' mc GFY+GK]xYaoFV^jxcacTimGX\%oXoV^cmcZ(V'Y3ADV4G*®UieimY(oV^n+Z(imEj(c3ie\^Y(Gg~m~m]kcmGX~mYDGXGFYD\pieGXjkT^jx]`R T . . >3>@?1ACB)D)B)D.
(94) tmy. ()( .' 6 10. h(\^cUoG4T^TX im Y(YDn ce@BV'ieADADYaGFGXV^\Y¤]x]x®imEHV'YDADh7~mGBcm]kcm\^ZD~3V'ieGFY(YDYanDVG4imTnUEH]`T]k\'GFGXTYaADoV'V'c3im]xZDjDc3j`imYn T'ceT SZDGEHiehUjkie]kV'nDjk]x]kc3ienDV^Y(ie]kTV^cmG4Y}cmn¥Y]`®DT¤V^o\'ADc3GFGBYUj`iY(V^\^ieG4c3V^ngYaZDV^V^\']kcBYDGB~HV^ceA( YaGZ(nUEGV'GX,GF\^\']` oFEH1im)]xjªY(\^ieVpG4V^ieT]k\'ZDcm~mjxYV'GFTVcmV^SV'G4c i3n o V^]kZ=R cmiejkiecmjeY(~m\'~mAD]`oF]kGFcmimc3~mj¥jxc3GXnDYD~miGX]`VpoFT^iDim]`T j n(iV'iHi3TB0GXjxj¤i3TBEcUnUGXjkTBcm ]kYaV^GX\'i3oV^]kcmY GFVW0GXGFY¡hD\'cieY(n ieYaV^]¤im~m]kcm~3GFYDG4T]`T0 imoV'cm\pTF ,, * " , | @} ie\'h(imYDGFY ¥PUimim\^]`TV^cieY(n H jk]Vpiejkc(*L¡G4opA(ieYD]`T^EHT*ceieYD~3]xc3~mGXYDGXT^]kT,imY(n V^A(GF]k\KZ(T^G ]kY V'ADG]kYDAD] ]V']xc3Y¡ce V^ZDEHcm\,~3\^cBV'A)imY(n EGFV'i3TWVpimT^]kTX ,
(95) ®¥| 7 D| tmt D| t ®mtmymy3yD t v( Pª M] T^cmY 9vec3YDGXTX® L Ra\'YDG¡ieY(n vD q #Kc3jkn¤ EiV'ADGFEieV^]`oFiejEHcUnUGFj,cm*V^ADG TV^\'GXT'TB]kY(nUZ(oFGXn¡nUZD\']xY(~Hi i3T^oFZDjkim\V'ZDEHcmZD\K~m\'cBV^A¤ 10 ®7z3(y !7 z az ®3tmymy3yD l Y(nUGX\'T^cmYimY(n+L v( "0A=iehDj`ie]kY¤3 "0cmYaV']xYSZDc3Z(TimY(n+nU]`T'o\'GV^GKEHieV^ADGXEiV^]`oFimj=EHcUnUGXjkT cmV'ZDEHcmZD\,]kY(nUZ=oGXn¡imYD~m]kcm~3GFYDG4T]`TF 2 00 1 10 ® mCy 7 as ®D| D z "g }ie\po]`i l,GX]xE GX\V "g im\^~aimT l Y=nUGF\pTc3Y¤®aL v(4 "0A(imhDj`ie]kY¤ ~3\'i3nU]kGFYaV nU\']x3GFY Etmymiey3V^yDAD GXEHieV^]`oFimj¥EcUnUGXj¤ce%ieYaV^]`ieY(~m]kcm~mGXYDGXT^]`TF =1.-2 00 4
(96) ® t W|Xy !)7k|m|Xz(| ª|m| smtU® s v( b Z ]xY¤ ./ 1 , 10 .' 1 &+
(97) 1./' 1 ,6 . , 41( I*c3\V'AU KcmjkjkimY(n+bZ jk]`TAD]kYD~ "0c= ETWV'GF\pnDieE¡®DIKGF cm\6 7®¥| L b GFY(n(TcSGm -. 1 1 & )()2C, 2 ( 10 - 10:
(98)
(99) # - 1 ./ 1 () 10 GF\'jx]kY 7 PUhD\^]kYD~3GF\^ >GX\^j`ie~=x®7| sU @}= c3\^\'iejkjBimY(n v(b GV'GF\pT^T^cmY¤£@c3h=c3jxc3~mR cmhDV^]kE]k¢XieV^]kcmY£Z(T^]xYD~!\'GF~mZ(jkim\^]k¢FG4n ]xYaV'GF\'EG4nU]`iV^G nDGFY(T^]VWR oc3Y3V'\^c3j =1.-2 4 --0 6,
(100) ®| y !)7 z |m| az t U®mtmymyD|3 L v( "0A(iehDj`ie]kY9imY(n M #>PSjkGFGFEimY¤ EiV'ADGFEieV^]`oFiejEHcUnUGFj0cm\V^ADG hD\'cUnUZ(oV']xc3Y9ieY=n = - -0 0 ® T^GX oFt \^!)GF7 V^]k cmªY!|Xy ceD®7V^| ZDEHyDc3ZD \ ieYD~3]xc3~mGXYDGXT^]kTg i3oV^c3\]xY!V'ZDEHcmZD\pTF L v( "0A(imhDjkim]xY ieY(n M #(PSjkGFGXEHimY¤>L¡cUnUGFjkjx]kYD~V^A(GM~3\^cBV'A+cm T^cmjk]knV^ZDEHcmZ(\'TBieY=n+]kY(oc3\ h7cm1\pi0 V'® ]xY( ~<| siu!)EH7 z GV'| ADacUz n ®Dcm| \V^AD GX ]x\Hoj`imT'T]x=oXiV^]kcmY Z(T^]kYD~ YDc3YDjx]kYDG4ie\GXjki3TWV']koF]VWR<V^ADGXcm\'Rm |Xy }I P¥ª@\'Z(nU]kYD~mGX\ # M]kj im\^ PUhD\^]kYD~3GF\^ >GX\^j`ie~=® GF\'jk]xY *~GX]knU#GX j GF\'00~ -I* GX, cm()\6 ª ®¥0 | *+S (C 10 2C 1 1 / & ,1 ( ( |m| "g 9DZ(YD~( 1./, 1C, , 4 C, 10 -(6- () ) & 0 4
(101) )2C) <PSh(\^]kYD~mGX\ >GX\^j`ie~IKGF cm\6 0GX\^jk]kY KGF]`nUGFj GF\'~(k®¥| J. . . . . .
(102) .
(103) . . . . . . . . . . .
(104) . . . . . =. . . =. . . . . .
(105) . . . . . . . . . . . . . . . . . $. . %. . !;. !. #". . . J. &. !#" >$!&%.
(106) tD|.
(107)
(108) . (Y ]x¢4iV^]kcmY¡EHGV'ADcUn¥ vmcm8ZD2 3./G ( jx j`ie ]k\^ ®G3® (* W |"!)c7 t mY(YD G(V']x®=GX| \XuUPSA(imh=G)cmhUV']xEH]k¢XiV']xc3Y RV^A(G+ADc3Ec3~mGF | }l M] ( c3Y(TF -()./(8
(109) .' 41( I*GX c3\ 7 Kim\^3GXTV^GF\B ADG4iVpTADG4iW®¥| tD |Fz }IgiV']xc3Y(iej AaV^V^h 7 hD\^G4T^TptU Y("oFie] Y(YDoF]kA¤GF\ ~3c T'o5 ]kY(GFTY(V^oF]xGV^ZD V^GFGmAD ]kY(n ieYD~3]xc3~mGFY(GXT^]kT J* iY(Y(nD~mGF]k\pcmTWymVpyUieY(AanUV^E¡]kYD~ imYD~m]kcm~3GFYDG4T]`TX |4s "g GF\'Y(iV'ASR vD 9Dcm:j SEieY¤® ,0LuGF\'jxGX\+ieY(n ]kjkjx]`ieETX 5WTc3jkieV^]kcmY£cei!V^ZDEHc3\ imoV^cm\ \'GXT^h7cmY(T^] jxGMcm\*imYD~m]kcm~3GFYDG4T]`TX - ®| 7 t es Ut D®U| U|m | Mq i3TG +L =v3imoc ]`T]` i imY(nuvD Mc3jki IKieV^ZD\piej¥EHGXopA=ieYD]`TETBhD\'ceV'GXoV^]kYD~ie~3im]xY=TWV*oFimY(oGX\X . . 2 0;6
(110) 3 ( ® y !®=tey3y | v( 9Dcm:j SEieYL q }]kGF\pieYimY(n vD *GXRaEi3opA¤ Y(~m]kcm~mGXYDGXT^]`T¥]xY(AD] ]V'cm\pTieY=nASRah7c U]ki( 2 ( ./ , ® !7x|3|Xyez=®aT^GFhDV^GFE GX\Ktey3y | KfKV'ADEHGF\¡I *LuieYaV'¢Xie\']`TF®KPª!G D LuieV^ADGXEHieV^]`oFimjgEHcUnUGFjk]kYD~9cmV^ZDEHcm\^]xY(nDZ(oG4n imYD~m]kcm~3GFYDG4T]`TX 1 10 ®7tey3yez= | Ki ( iejUvD b GV'GF\pT^T^cmY imY(nL @BADGXjxjkYDGF\4aLuZDjV']knD]kT'o]khDjk]xY(im\^RMV'cmh7cmjkcm~mRMcmhDV^]kE]k¢XieV^]kcmYT^cmjkmG4n i3T,iY(imT^A¡~3ieEHG3 C 2 .'( 4
(111) ®=tey3yez= @ciehDh7GXim\X tey %5WIgl 5 L¡cUnUZ(jxGF%b>\'cedWG4oV4>LucSnDZDjxGF ~3ZD]`nUGXTX AaV^V^h 7 ,,B\'cUoF_7 ]kYD\']ki( \ EHcUnUZDjkG tU| H¥PSieY GF\'~(M@BADGEHGV'ADcUnuceEHcS]kYD~+imT^RSEHhUV^cmV^GXTK YDGXqEGFV^ADcUn cm\gTV^\'Z(oV^ZD\piejcmhUV'] EH]k¢XieV^]kcmY¤ C 2 .'( 4 4
(112) ®ªtCz 7 s ®D| U tmt "0A 7]xjkjkc GF\4 Mjkc imjBoFcmYSmGX\^~3GFY(oFGce}i<Y(cmYDjk]xY(GXie\HhD\'cm~3\'imEHE]kYD~ EHGFV^ADcUn Z(T]kYD~ oc3Ya3G imhDhD\'c U]xEiV']xc3Y(TX 2 .'( 0
(113) () . ®ªt !7 t 3s Dt ®3tmymyD|3 |4t 9D\pieY=ocm\^V 9. 9. !. . . . . . qH. . . . . . . 9. . .
(114) . . . ?9. . . . . . ?9. 9. >3>@?1ACB)D)B)D. . . . . y. . .
(115) Unité de recherche INRIA Sophia Antipolis 2004, route des Lucioles - BP 93 - 06902 Sophia Antipolis Cedex (France) Unité de recherche INRIA Futurs : Parc Club Orsay Université - ZAC des Vignes 4, rue Jacques Monod - 91893 ORSAY Cedex (France) Unité de recherche INRIA Lorraine : LORIA, Technopôle de Nancy-Brabois - Campus scientifique 615, rue du Jardin Botanique - BP 101 - 54602 Villers-lès-Nancy Cedex (France) Unité de recherche INRIA Rennes : IRISA, Campus universitaire de Beaulieu - 35042 Rennes Cedex (France) Unité de recherche INRIA Rhône-Alpes : 655, avenue de l’Europe - 38334 Montbonnot Saint-Ismier (France) Unité de recherche INRIA Rocquencourt : Domaine de Voluceau - Rocquencourt - BP 105 - 78153 Le Chesnay Cedex (France). Éditeur INRIA - Domaine de Voluceau - Rocquencourt, BP 105 - 78153 Le Chesnay Cedex (France).
(116). . ISSN 0249-6399.
(117)
Documents relatifs
In infantile Pompe disease patients, the glycogen storage diffusely affects brainstem motor and sensory neurons, and the whole spinal cord sensory neurons, interneurons, and
De ce point de vue, il est possible d’affirmer que la mission est accomplie : les projets de renouvellement urbain (GPV et ORU) élaborés depuis 1998 dans une centaine de villes
cosinus (en bleu à gauche) et d’une droite (en noir à droite) sur les données simulées pour 4 années à une température de 45°C, avec un bruit de fond interne réduit de 100,
Florence CARRÉ ~ Réoccupations funéraires de sépultures collectives néolithiques dans la boucle du
2 Vue plus en détails dans le chapitre 1... 2 phénomène d’agrégation des protéines amyloïdes en fibres et d’autres facteurs impor- tants doivent être pris en compte comme
In this chapter, we prove an a posteriori error estimates for the generalized overlapping domain decomposition method with Dirichlet boundary conditions on the boundaries for
Revue française d’héraldique et de sigillographie – Études en ligne – 2020-10 © Société française d’héraldique et de sigillographie, Paris,
Dans ce cas, comme les coulées du Bras de Sainte-Suzanne appartiennent au massif de La Montagne daté à plus de 2 Ma (McDougall, 1971), l’ensemble des coulées pahoehoe
