Évaluation rapide de fonctions hypergéométriques
Texte intégral
(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. Évaluation rapide de fonctions hypergéométriques Emmanuel Jeandel. N° 0242 Juillet 2000 THÈME 2. ISSN 0249-0803. apport technique.
(3)
(4)
(5) !#"%$&'() *+ , -. /& (! 20 1313465879;:*<69=465>-9?: @BADEC F%EGHJILE K MONPEQSRUT;NSVNPE Q E W*V a.XbQYV ZOQ8[]\=a F_^6RUQSNS`?ZOE RcdE W RUQYe2f g XhihjR b WBW]EkV A MONY`?ZOE2M6l-m;Gn?GHJoUZONSQSQPEW(GUmUm;m2Hqpsr2hjXTUEk[. vt w?u xky-z wvu {| R;Zi[_h b EkK [}E M?W]RUMj[2NSVN~Q NPF%hOQYXM?WXW]NSRUMOE [_ RUMiV W]NSRUMi[ A \?h6E b TEK RUF3EK W b NS`?ZOEk[2OXMj[_QYX^ONS^OQSNPRUW A8E C `?ZOE a~g2 EkV N,XEK WOEK E E VWZBE K XC Q XUNSOEE&QSXFE K W A RE&NSMiX b \=hOQSNW]W]NSMOT MXUQPT;R b NW A F%ETE K MBE K b NY`?ZOEXLR;MiVE K WOE&K V b EDK EUK `?ZON,X h6E b F%NS[BQ XUFEK QSNPR bb XW]A NSRUMEQ Eb hjR;MOEM?W]b NSEQSQSEUE2V E b WXNSMOE [BV R;Mi[}WXM?bWE [ ;EWBQ NPF%hOQYXM?WXW]NSRUM Z b [}NSM=Zi[E b W(Z b V R;[]NSM?Zj[ | R;Zib[ E=h6R;[]RUMj[Q XQSTUR NPW F%EhjR;Z QPE VX;[ XW]NSRUMOMOE Q¡hOA ZiNS[
(6) MOR;Zi[F%RUb M?W RUMib[
(7) V R;F%FE b M?W2VE VXU[hiX U£WNSVZOQPNSE h6b E F%E WD RU^Wb EMON Q EhjR;MOEM?W]NSA EQSQSE | RUZi[ZWNPQSNY[}R;Mi[EMj[}ZONPW]E,ZiMOE,FE K W RE,[}NSF%NPb QYXN EBh6RUZ QSE [¢XZW Ek[ R;a¢MiVg2WNPR;Mi[ Ek[E hBE K NSEMiVE [-F%RUM?W EM?W `?ZOE2QYXFE K W R=OE
(8) Ek[dW(hiQPZi[BE¤VXUVE2`;ZiEV EQSQSE [BEF%hOQSRs\¢EK Ek[h E K VE K E FF%E M;WBOXMj[, ¥§¦j¨ x©ª;« w=u x{ R;MiVWNPR;Mi[ A \=hjE b TEK R;FE K W b NY`;ZiE [ UNPMiX b \=hOQSNW]W]NSMOTiO^iNP^OQSNSRW A8E C `?ZOE2 a~-g. Unité de recherche INRIA Lorraine LORIA, Technopôle de Nancy-Brabois, Campus scientifique, 615, rue du Jardin Botanique, BP 101, 54602 Villers-Lès-Nancy (France) Téléphone : +33 3 83 59 30 00 — Télécopie : +33 3 83 27 83 19.
(9) 2!8 2
(10) _ $*)_(+ B . ! x ¨ ª ¨ { f(MXUQPT;R b NW A F R b X;[dW.V XQYV ZOQYXsWNPR;MRU A \=hjE b T;ER;FEW b NSV¢ ZOMiV W]NSRUMi[ U^jXU[]E RUMW A E(NSMiX b \=hiQPNPW}WNPMOT_FEW A R NY[h b R;hjR?[}Ek fv X;[db W,T;EMOE b NYV*VbR=OA ENY[NPF%hOQSEF%b EM?WE DOXUQPQSR ,NPMib TW]RA Zi[]ENSM& a¢g A []RUb F%E*W b XMi[V E MiEM?WXQj A ZOMiVWNPR;Mi[
(11) Eh8 []NPMV R;[E [dWV R;Mi[]NSE W EV XU[]E¢RU XW]NSRUMiXUQ;M=ZOF^jE [ kW E M E~XhihOQP\W E Ek[}ZOQPW[W]R
(12) V R;FhiZW]E~W EE h6RUMOE M?W]NYXQ RUjXiR?XsW]NSMOTb hjR;NPM?W M=ZOFA^jE b EZib []E.W A E[XF%E¢XUQPT;R b NW A FW]RVRUF%A hOZWE~RUb W A E bA \=hjE b T;ER;FEW b NSV ZOMiVWNPR;Mi[a~ @Bg A NY[-FEA W A R T;N;E [~TUR=R b Ek[}ZiQW[b ,NPW X_^j EW}WE V R;F%hOZWXW]NSRUMiXUQ6VRUF%hOQSE NPWd\W XM&h E=NPR;Zi[.NSF%hOQSEF%EM?WXW]NSRUMi[NSM& XU[[ R ,M ^=\&VRUF%hOZWE [BE h6E NPF%EM?W[ w© ¦! " xU{$# \=hjE b T;ERUF%EW b NSV ZOMiV W]NSRUMi[ iNSMiX b \=hOQSNW]W]NSMOTij a¢g QPNS^ b X b \.
(13)
(14)
(15)
(16) "!$%#
(17) '&(# ) *. +. - £ E [.NSF%h b E K VNS[]NPR;Mi[.E
(18) VXUQSVZOQ6[]RUM?W~[]RUZ!UEM?W¢QYX_V XZi[]E*EMORUF^ b EZi[]E [¢E bb E Z b [ EW~NSQVRUM=NPE M?W~E[X UR;N b QSE [EK ?NPW]E b ?£ X ^ONS^OQSNPRUW . A8E C b `?ZOE(F%¢£h b/. a R;1Q 020436[ Ek[dW cdZib [}W]EF%E M;WBRUMiME(K V E^OZWk?[ XUhOhOZO\?b Xb M?W~[]Z b QYX2T;E [}W]NSRUA8M C E [~EM?WNPE b [~OXMi[I a ;E K V b NPW]E OXUMi[ I X;mU4m 3 RU^cdEkVWNEV EW X sXNSQBE [}W
(19) cdZj[dWEF%EM?WD XF3E K QPNSR E V E W]W]E^ONS^OQSNPRUW E `?ZOEUE MQSZON(XcdRUZWXM?W`;ZiEQY`;ZiE [ 5 R;MiVWNPR;b Mi[ XC Q XNYEi£ E [ R;b MiVWNPR;Mi[ A \=hjE b TEK R;FEW b NS`?b ZOEk[ E WE M3NSF%hOQSXUM?WXM?WEk[ XQSTUR b NPW A F%Ek[^jXU[E K [%[]Z b QSX'F3EK W A RE ~NSMiX \=hiQPNPW}WNPMO7T 6 E [W X sXZO&[}ZiNsXM?W[BRUM?W&E K WOE K EkK XQSNS[E K 9[ 8 W> : f(F3E K QPNSR b XsWNPR;M&Z VXUQSVZOQEQ E=h6RUMiEM?W]NSEQSQPE; ;1<=_E? E @CBD<8 E F2@ : fcdR;ZW*A : b E K XsWNPR;M8 ZOMV RE TEK MBE K b NS`?ZOEh6RUZ b QPEVXQYV ZiQ D ZOMOE`;ZiEQYV RUMj`;ZiE2 RUMiV W]NSRUM A \=hjE b TEK R;FE K W b NY`?ZOHE G4IKJ2X ;E VZOM X b TUZOF%E M;W b XsW]NSRUMiMOEQ : b E K XsWNPR;ME[V b NPhOW[,XZOW]RV R;M-EW(XZWRUF 'X L;E | RUb Zi[VRUF%F%Eb MiVE b RUMi[ hi X b E K iMON b QPEk[- b RUMiV W]NSRUMib[ A \=h6E b TE K RUb F%E A W b NY`?ZOE [ bhOZiNS[MOR;Zi[b EK W]ZiNSE b RUMj[QSEZ b NSF%hOQYXM?WXW]NSRUb M%Xb UE V Ek[*X T;ZOF%EM?W[ XsWNPR;MOMOE QS[ | R;Zi[(ZOW]NSQPNY[}E R;Mi[(XUQPR [,VE WXUQPT;R NW F%E2hjR;Z V XQYV ZOQSE Q E hjR;MOEM?WNPE QPQSE_D ZOMMOR;F_^ E EK E Q¡ hOZiNS[,MiRUZi[,XUhOhOQSNS`?ZOE b R;Mi[BZOMOE
(20) W]EkV A MONY`?ZOEXMiXUQPR;TUZOE
(21) h6RUZ b V XQYV ZOQSE b @CBD< EF2@ > ;1<= M N(O )__. "+ ,. PRQCS. -. TVWYU XHZ\[^][`_aZ\b. MOE RUMiV W]NSRUM A \?h6E b TEK RUF3EK W b NS`?ZOE*hjR?[][ E C OEZOMEK UE QPR;hOh6EF%EM?W,EM [E K b NPEE @ X \?QSR bXC Q R b NSTUNSMOEE2QSX R b F%Ec8 dfehgiajlmk nporq g. R ZC QSE [,VR=E ¤V NSEM?W[~E K b NiE M;WY8. q. orq's J e vwi j ty orq u x e vwi. X ;E V t EW x E Z&h6RUQS\=M{RUz F%b Ek[ b b Ekb V NE [}WZib M&VX;[~X;[][]E |TE K MBE K XUQ¡`?ZON ET RUZihjE(QYXhOQPZihiX b WBOE [¢ RUMiV W]NSRUMi[BV R;MOM=ZOE [ } M[}E
(22) QSNPF%NPW]E b XOXMi[~QYX_[]ZONWE
(23) XUZ&V XU[ hiX WNSVZOQSNPE 8 o o i % e o v i'e" i % e" v i q dfehg~ijmk n e g vc e i % e v i EV XU[2V R b]b E []h6RUMi'XZ RUMiV W]NSRUMi[ A \=h6E b TE K RUFE K W b NY`?ZOoE [
(24) Z'Wd\=hj E G4cJ e o~ Cri
(25) QSE [2 NSMiNYV Ek [2NSMiNY`;ZjXM?WQPEk[E T b E K [ Ek[,} h6RUQS\?M RUz F%E b[ O`?ZON[ RU^WNPE MOMOEM?W,En M h b EMjXn M?W n t ehvwiKje b vwi e" b vwb i EW xyehCvwiKjpe vwib e vwir b M EK W]ZiNSE XvEK T?XQSEF%EM?WOXUMi[2QYX[}ZONPW]EOE [_V XU [E MiV R E hOQSZi[ E [}W b ENSM?W[2R Z RUM X[}ZihOh b NPF3E%K QSE [ sX NYX^OQSE [ o~
(26) Q.[ XT;NW2RUMjVOE [ RUMiV W]NSRUMiA [ JfJ cJ_E W ME E W QSX&hOQSZOhiX W2E [
(27) R;MiVWNPR;Mi[V RUZ XUM;WE [ h
(28) r @B1< E F2@ []RUM?W R;^W]E M?ZiE [ X%C hiX b WN b EVE [ RUMjVW]NSRUMj[iVRUF%F%EQPE2F%RUM?W b E
(29) QPEWX^OQSE XUZp . )rc"` ¡$$¢"£¤¦¥§©¨'ª`«) `¬"«)®4¯°® $°R± ²³°´µ°ª^"«) ¶·`²·²·)¨'¬ ¬"¸¹¹'«)¬%Kº "«)¸»"«)¸4 ¬^¼%¶·¬" °® ¨^f®7½ `¬"¯¹«)®¹ªa°¬ª`«)®¹¬"¶·¯`º %aº ¯°®¹¬{²³°R¯^º ¾®¹¶ "¶·«)® ¯¹`¬w´1°¡$¶·²·²·`¬9¿¹ÀrÁ4 Âà ®'ÄÅ)ÆÇÆ.
(30) n. & &¦' '~2. g E h b E K []EM?WXW]NSRUM. ehgi. ehg i G IKJ e 1 = g~i n g G g IKJ =
(31) n $g G IKJ =
(32) n n I ehgi. ;1F ehg~i @CBD< ehg~i EF2@ ehgi r e g~i. g G IKJ 2 % $g G
(33) = =. E'< ehgi . p. : C))
(34)
(35)
(36) Ar Dy ' y"! $#. PRQ P. %'&)(*,+. _ -[^].0/ W21_34- * Wwb5- ( ][_aZZW * b >= 6879687;: < ?A@;B DC8E ;@ @FBHG. z w u ¨ -¦" w « ¨ ¨ R;FF%E MV I R;Mi[BhiX b E K V b N b E
(37) QYX%FE K W A R=OE
(38) ZOW]NSQPNY[EK E2OXMj[,ZOMVX;[,[}NSF%hOQPE;OQSEVXQYV ZiQE2QYX_ X;VWR b NPE QPQSE | RUZi[,ZOW]NSQPNY[}E b R;Mi[ E Mi[}ZiNWE2QPE2F E z FEh b RVEkK EK hjR;Z b QPE2V XU[,`?ZON8MOR;Zi[BNSM;WOE K b E [[]E } M h6R;[]E K e)J K iaj J je)J ie)J = i K f*QPR b [BR;M[ XUhjE b VI RUNPW(`;ZiE e)J K ij . EW. K K M L J NK L J N J = O
(39) P = O
(40) Q. iKjRJ e;J J e;J `J iKj . BW h6RUZ b VXUQSVZOb QPE b bvc7j eFbS vwi NSQ[]Z¤%W*ARUMiV28 ZWNPQSNY[}E b QPEk[B R b F_ZOQSE [BVNUT E [[]Zi[ b E K V Z b []N;Eb F%EM?W b Q- XZOW
(41) V R;F%h E Mi E_Q NSM?WOE K Ez W*EQSXFE K W REE%VXUQSVZOQ'8Q NYE K E_E [}WE M XUNW2EF_ZOQPW]NShOQSNPE Ek[
(42) MORUF^ Ek[*EFEz F%E WXNSQPQSE =£v X_FE K W A R=OE*V QYXU[[}NY`?ZOEU?EQSQSEU b E?NSEM?W X_C F_ZOQPW]NShOQSNPE b ZiMT b XMi%MiRUF_^ b E
(43) ehv b i) .hjX b ZOMMOR;F_^ b E(^6E XZjV RUZihb hOQSZi[ h6E WNW b
(44) VjEQSQPE_E [}W*RUMiV^jb EkXZi£ VRUZOh F%A RUNSMi[,E¤ V XUb VEc8iEQSQSEE E V W]b ZOEQSE2FEz F%E2MOR;F_^ EEC FZOQPW]NShOQPNYVXW]NSRUMi[ OF XNY[([]Z Ek[ MOR;F_^ E b[¢hOA QSZi[~E K [E K `?ZONSQSNP^ b EkK [ X_FE K W b R=OE(^ONSMiX \[]hO-QS@NW]W]NSMOTb []E XR;MiV,hO QSZi[~E ¤VX;V EU? Ek[.`?ZOE*QYX2F_ZiQWNPhOQSNYVXsWNPR;MZWNPQSNS[]E ZOMXU QPT;R NW F%E
(45) MiRUM `;ZjXU XsWNS`?ZOE
(46) e2X XW} []ZO^iXRUZ ihiX E=E F%hOQPE XUQSVZOQPR;Mi[%EM E6EWQYX b V RUF%hOQSE NPWOE K M E E VWZOEZOMiEC F_ZOQPW]NShOQSNSV XsWNPR;MOELEZO3MOR;vcF_ ^ b E [OE v WXNSQSQPXE v WX Y'=OhOZONY[ = FZOQWNPhiQPNYVXW]NSRUMi[E'MOR;F_^ E [E'WXUNPQSQPZE WXY E WV D,R [Z W EkK [}NSTUMiELQYXWXNSQPQSE'OE ;
(47) W]\ ;1F f*NPMi[]N,QSX VRUF%hOQSE NWOEK EM&W]E Fhj[,E [}W*KE 8 R. . m ^`_Yn =abQc W s = a eJ d ZfC b e g~i E K []NPT;MOEQSEV RZz A W(D ZOMOC E2F_ZiQWNPb hOQSNYVXsWNPR;ME e v = MORUifF[j ^ g b Ek[BehvwEi WXUNPQSQPE g f*NPMi[]NiX UEkV*ZOMiE2FE K W R=OE XQYX%e2X XsW[]ZO^iX
(48) Fb Y'= b OQYX V RUF%hOQSE g = g b eW i f UE V
(49) QYX -@
(50) hb ehvwiajv ;DiF v OQYX%V R;FhiQPE=NPWOE
(51) K Ek[dW(XUQPR b [EM j j¦e b e W i ;1F W i b ehvwiK2. NPWOE
(52) K E [}W*XQSR b [BEc8. k)l{Âknm.
(53)
(54)
(55)
(56) "!$%#
(57) '&(# ) *. « ¦! @ ¨ = zw £ NYE K E,E [}W~E*V XQYV ZOQSE b WRUZi[¢QPEk[¢VR?E¤V NSEM?W[~OXMi[.ZOMV E b WXNSM%R b b E
(58) UR;N b. e2X b 0?r 3 ;EMF%EW}WXUM?W¢QPEk[¢EK MOR;FNSMiXW]EZ b [ E M VRUF%F_ZiM 9} M hjR?[}Eh6RUZ b VEQYX$8 687968796. < ;G. G s J e o Yi 4e o v ie i % %e v i q $e;J K iKj _ m g cv µe %i % %e v i q G s J G s J. vKe" v i
(59) )e J K iKj _ q G s J. e)J K iKj. . _. G. q G J s J. e o/ v ie" v i. G s J. e = e KH ii _ e v i q J G G s J _ e o/ v i e" v i q J _Yn
(60) e;J vwi q G s J _ ;e J vwi q J ^. ge)J K i. j$e;J K i g j$e;J K i. M X%XQSR b [~QSE [ b EkK [}ZiQWXsW[B[]ZON XUM?W[Y8 }. g. ge;S K i j e oNK ie" NK i
(61) )e J 2 K ij
(62) ;e J = K i
(63) e)J = K/ i e)J 2 K ij e)J = K i e;J = K i $e)J 2 K ij$e;J = K i $e)J = KH i K i e)J = K i g G
(64) )e J = K/ iege)J = K i ge)J 2 K ijDge)J = H. EkV N*MiRUZi[RUMiMOELR;MiVZOMiELFE K W A RE b E K VZ b [}N UEE'VXQYV ZiQ¡[}R;M NPMiVRUM¢EK MiNPE M;WF XcdEZ b E K WXM?WQ E MiV R;F_^ b EF%EM?W F3E K FR;N b E Q8MiE b Ek[dWE
(65) E Mi[]ZONWEUi[]NDRUM UE ZW*VXUQSVZOQSE b QSE [?=h b E FNSE b [,V R=E¤ VNPE M?W[,E2QYX%[}R;FF%E;O`;Z X%C VXUQSVZOQSE b }. M. $e W S2iKj[ge W S2i`g G Y
(66) e W S2i
(67) b b b A b b E EF%W*X XQSTU`?R ZOb E NPW X_A F%OXEMi[[B XsVcdE ZiW}[}WW]EE
(68) F X;E K V W NSQPE R=FOE
(69) E M?`?W*ZOXE
(70) Z Q¡ RUVXUM[ X_b XsQYXWNPR;h MOR;MOh E Q¡N EK E WOM&E(K h6[]ZOR;N [sXXM?M?WwW]EK8 8 o j oo J $j J ?j J g j G G G. ÂÃ ®'ÄÅ)ÆÇÆ. E W g }[ R;M;WBEM?WNPE b [ [}N o~ E W g SQ E2[}R;M?W .
(71) & &¦' '~2. ¦ " ww B ¥ E« w £ XUQPT;R b NW A F%E
(72) XUhOQSE[}E2EkK ZONPW(E [(VRUMi[]NY~E K b XsWNPR;Mi[.h b EkK VEkK EM?WE [ j E s¦ ª e W J « ¦ ª « v
(73) g hK2 . 6879687. . .
(74) . . . . ! #"$$%. . i. . #"$$%. v j = #"$$%& j ' ( ! #"$$%) j j * @C- , )e J ' e ' . ' ' e;Jw iCi Jcj vwi0/7
(75) + 1 j * @ , ee ' J^i ' e 2 ' J`i Jfj2S v i$/2 g 4 j 3 ' 6e 5785 * @, eCe J`i ' e 2 ' J`i Jj[S v i0/ ! "06% iY K j j v = @ «¡ wj K: 9 v " ¦ ^ ^ ^ ^ Y= ' g ; j * @C- , e ! #"$$% '
(76) G ' g G J #"$$% ' G YJ ' g G Jj i0/7 K j = K ' ! #"$$%< j ^ ! #"$$^ % G j * @ , e
(77) G J '
(78) G Jcj i$/2
(79) ; ^ ^ @>= K:9 v ¨>= w B #"$$%< j #"$$% G j1* @, e G J ' G Jj i$/-? ¦" @ '; %;e g J Y e t J ' ! #"$$% ii A ". wB ,
(80) O ' * * L ,2! (* | RUb Zi[XQSQPR;Mio [¢E K WXNSQP QSE b QPEV X;[¢E
(81) Q¡ E h6RUMOE M?W]NSEQSQPE;?`?ZON6E [}WhiQPZi[[]NPF%hOQSE
(82) `?ZOEQPE
(83) VX;[¢TEK MBE K b XQshOZONY[]`?Z8 RUMh6EZOWE K QPNSF%NPMiE b SQ E [ sX NYX^OQSE [ E W B. C. RQCS H. D. FE. +G. TVW8U - WJU I 30-br[$K ( ][_aZ. } M sX%F%XUNPM?WEMiXUM;W,Ek[][X \UE b E2E K b E K VZ b []N UE b Q¡ XQSTUR b NPW A FE E W}WE2FE K W A REE [}W&EK T;XUQPE F%EM?WBXUhOhOQSNSV X^OQSE2OXMj[BQPEV XU[ TEK MB£E K b XQ;F XNY[BRUMMOEE K WXUNPb QSQSE b XQSE [(V XQYV ZOQY[,`?ZOE2OXMib [,Vb EVX;[ E [,VXUQSVZOQY[,[}E
(84) RUM?W(MOR F XUQPE FE M?W,[]ZOg N sS X S M?W,ZOMX ^ g fE S 8 1 g S g S P*. Q/. R*. L. /. =. P*. M L. M L. M. M L. L. M. M L. M. L M. L M. gR* S/. gP* 2D. N. /. O N. O N. O N. }. /. M L. M L. P*. L. M L. /. N. O. O. gR* = S/. M sX%XQSR b [V A XMOT;E b Q¡ R b b E
(85) 8dEK sXQSZiXsW NPR;MEk[W]E b F%E [ EM[]ZON XUM?WBQ NSEK E2[}ZiNsXM?WEU sXQYX^iQPEh6RUZ b Q X b ^ b E
(86) h b E K VE K E M?W8 : } MVRUF%F%EMiVE2hiX b V XQYV ZOQSE b gDe;S S7i : MOE R;NS[,`?Z8 RUM X%VXUQSVZOQ E K ge;S i OR;M&h6EZOW*VXQYV ZiQPE b ge S2i : } MV XQYV ZOQSE geFS = i : } MV XQYV ZOQSE geFS i i`?ZON8MOR;Zi[BhjE b F%EW*EVXUQSVZOQPE b ge 1 i ihOZONY[ ge = S2i k)l{Âknm.
(87) r.
(88)
(89)
(90) "!$%#
(91) '&(# ) *. £ R b b E_Ek[VXQYV ZiQS[
(92) E [}W
(93) ON*E K b EM?Wk6F XUNS[QPEk[VXQYV ZiQS[E E V W]ZBEkK [[]RUM?W2[}NSF%NPQYXN b E [ 6R;MiVQYXV RUF%hOQSE NPWOEK V R;F_^ONSMiXsWRUN b E []E b Xa QSXFEz F%b E QPZi[ R F%E QPQSEF%EM?WkRUM hjR?[}E;hjR;Z b v
(94) G
(95) . aehv Ki j ^`_. EW. . . G . ge v iaj ^ _. M[]ZOhOh6R;[]EV XQYV ZOQ E K VU Ek[dW T X C T N b cE 8 v j = }. gehv i ehv i / K e= i 9}. E W. m. G s. J. vc g J. ^. b j =R;NWAW QYXhiQPZi[T b XMjEhOZONY[[]XUMiV EOE = `?ZONBN =NS[]E M X XQSR [ 8. W age ehvv *. e J`i. G s J. /. f UE Vh6RUZ b V RUM;EM?W]NSRUM. Ki j2gehv 2 iK j ae v agehe vv WW. i ae v 2 i,gehv i i 7aehv i iKj[ge v i iKjehv WW i. S2icj e v i 2S icj e v i. agehe vv. £ XUQPT;R b NW A F%ELXhOQSE2[ XhOhiZO\;XUM;W,[]Z b QYX b EF X b `?ZOE
(96) E [}W*XQSR b [QPE2[]ZONsXUM;W{8 j E ¦ ª e W i « ¦ ª J « j J g hK2 g = g j "! eFS W i j "! e;S W i ¦! K ¨k¦ J "-¦ K . . . . ". . . . . . =. . . . j. . . K j jDS$ g j. '. "8. = @ ¡« w j% F$#?= jDy S "-¦ a a . 3. " 8. . g. a. . wB". ÂÃ ®'ÄÅ)ÆÇÆ. g. ¦". . ¦" . g. . . g [ j ga 'Y = a " 8 j ' . j. j A. + . g a + j a. Y . j . . . j. + . '. . g. . . . "8. . '. g a. . v p. .
(97) & &¦' '~2 RQ P. % W. H. I. ( b- WU W *. £ E [(XUQPT;R b NW A F%E [Bh b E K VE K OEM?W[[}R;M?W XUQSXU^OQSE [Bh6RUZ b OE [ b XsWNPR;MOMOEQY[ OE WkONPQY[(MiE[}R;M;W(hjXU[BE ¤V XUV Ek[,h6RUZ b OE [ b EK E QS[ M E6EW iXMi[b VEVX;[WRUZWE [_QPEk[`?ZiXM?b W]NPWOE K [2X v UEkVQPEk9[]`?} ZOE QPQSE [2b R;M'W b X XUNPQSQSE%[]RUM?W_b Ek[ iRUW}WXUM?W[_A []Z b v ^ONPW[ EWQPEb F%R;NPMi b Eb V XQYV ZOQ8[]E
(98) E XORUMiVX UEkVOE [BMOR;F_^ E [,E ^ONPW[ M&h6E RUMiVWRUZW(Q NSM?WOE K Ez WOE
(99) QYXFE K W RE f*NPMi[]NOhjR;Z VXUQSVZOQSE Q} EhjR;bMOEM?g W]NSEQSQSEU6RUMX b b E V R;Z b [ X C ZOMOEXU[}W]ZiVE_E_V XQYV ZOQ-ZOE XC b EM?W . b Esr 3
(100) RUN b XUZi[][]N . # a 0?r%3 £ NY~EK E2Ek[dW
(101) [}NSF%hOQPE MvE K V NPW [}R;Zi[BQYX_ R F%KE 8 n . g j g m k _Yn a. n. . a. . . 9. = G }. a. X ;E V g b EM?W]NSE b a M[}E[}E b WBEMj[}ZONPW]EE
(102) QSX_ R b F_ZiQPED XUONPW]NSRUME
(103) Q¡ E h6RUMOE M;WNPE QPQSEhjR;Z b RU^WEMON b QSE2^jR;M b EkK [}ZiQWXsW R;M?W RUMi[BQSE2~E K VRUZOhjXTUE[]Z b ZOM E EF%hOQSEc8 j G a =. . j S 2 S = =
(104) S S J= G= =. g j gj g j. =. . S. ][ [X \UR;Mib[EV R;F%b h b E Mi b E hjR;Zi`?ZORUNV EW}W]EUE b []NPR;Mb Ek[dW_F%E NPQSQPE Z b EV []N¢ RUM E6EkVWZOEQ XUQPT;R b NW A F%Eb XA UE V%Ek[ b EK E QS[ DNSQ¢E [}W MBE K V Ek[][XN Eb E% XUN EW]b R;Zi[2QSE [V XQYV ZOQY[X UEkb V_ZiMOE h E K V NS[]NPR;MF b X=NSF_ZiF b XNY[2OXMj[V EW}W]EEK F X V E;b 6Q XU[}W]Zib VE E [}W_`;Zb NSQ []Z¤%W.b hjR;Z QSE [-MORUF^ b E [ XNS^OQSE [EM sXQSEZ XU^i[]RUQSZOE
(105) NSF%hjR WXM?W -EB XUN EFR;NPb Mj[b E,VXQYV ZiQFV MhiX WNSVZOb QSNPE QSEMiRUq F_^ E E(W]E F%E [~`;ZiNiNSFh6R W]E M?W.E [}W¢^jEkXZiVRUZOh hiQPZi[. XNS^OQSE f*NPMj[}N;[]NiR;M ;EZWVXQYV ZiQPE QPE EkK [}ZiQWXsW.X UEkV~ZiMOE(h E K VNS[]NSRUMy=
(106) N E v ^ONW[2EF%XUM?W]NY[][]E DRUMXUZ b X^6E []RUNSM8DhjR;Z b RU^WEMON b e Y i 8E%QYXMiVE b Q XUQPT;R b NW A F%EX UEkV W jv f*NPMj[}N R;M'[]E b E Mib VRUF%hWE`;ZiEQSj¦E [2e OEe Zvwi VRUM?vwW b i NS^OZW]NSRUMj[2[}bE%V A R;Fh6EMja b [}E M;a Wk8E W`?j¦ZOe E%Q ehXUvwQPT;i R b NW G A vwF%i E%[]E b XXNSMi[}Nb F%EA NSQSQPE Z b - @ A XU`?ZOEb EK WXUhjE2[]E EkK XQSNS[]ER;MiV
(107) EM b ;DFi OE W,Q XUQPT;R NW F%E
(108) []E X_NYV NEM b ;DFi iX UEkV*Q XQSTUR NPW F%E hjR;Z QYX%F_ZOQPW]NShOQSNSV XsWNPR;M . . RQH H. . Z (* b7W & W8--WH34-. . w=y E s¦" yH@ ¨ w E yB wLzy-« ¨ @)E«;@ ª ¨ @ ¦ B } M sXV XQYV ZOQSE b Q¡ E bb EZ b h b RZiNWE*hiX b QYXF_ZiQWNPhOQSNYVXsWNPR;ME
(109) EZ MOR;F_^ b E [ o E W h b RV A Ek[¢E
(110) R;Mh6EZWW]R;ZscdRUZ b [ [ \ b XUF%EoMOE b 8[ XMi[ b NSEM V A XUMOTUE b XUZ'V XQYV ZOQY[D E bb EZ b DEW_RU^WEM=Zi[2X ;E V%E [E bb E Z b [/> e o i E W e" i f} M NY[]hjR?[}E R;MiV2E E W WEQY[,`?ZOE 77;: . . . . o o 9 eo i 9 > "e i 9 o 9 . . f*QPR b [. o o o . o o o.
(111) }p . . j . . . e o o e o . o iC 2 "e i o o i e i o o . .
(112) G . £ E b]b EZ b []Z b QSEVXQYV ZiQ8E o E K WXUM?W,OE ZOQPh RUM X RUMjVQSE b E K []ZOQPWXsW,[]ZONsXUM;W,EW*[}Ek[,V R b RUQSQYXN b Ek[98 ¢b]b EZ b []Z b QYXFZOQPW]NShOQPNYVXW]NSRUM =N bob EW b []RUM?W
(113) R;^W]E M=Zie"[i X UE Ve Eko [i E b]b EZ b [ b Ek[}h6E V W]N UEk[
(114) 8 XUZLhOQSZi[/ e o i EW e" i 8XQSR b [ o E [}W2RU^WEM=ZX ;E V ZOMiE2E E Z D XUZ&hiQPZi[? > ZOQSh . . "!. Æ4$ #&%('*)'¸4®¹¶ f¶·®H,+¹²³°¬"{¹²³°ª`¨¯~`º ¬"¶.-)®¹²·a¯¹` ®4¶· 0/¹¶ { `¹ %`º ¬"® ° ¶ ´~¯°®¹¬f¸¹®21¹«" °® 3®®¹« ¯7½ +°4/¹¶ "¸¹¯¹ ¸¹²·7¢654§©¨¹¸¹¶·¬87 ¸¹aª`²·¸4¶ 9 ª`¶ ¯`º '®4¯/¯¹¸:1¹«" °® `®;7 ¸¹`¬""¶·«)®7<f°®¹¬²³°¬"¸¹¶ )¨4²³°¹²·¸¹° w¯¹`¬=1« °® "¬\^º °® ¶·®4´C`º "¶·¸4 ¬K°\± £)¨4«)®H®¹«"` ©°f» ¸¹¬""A¸¹²·H'«)¸¹ \¸¹²·7¢ £C§^ k)l{Âknm.
(115)
(116)
(117)
(118) "!$%#
(119) '&(# ) * 0. ZOFZOQD E bb EZ b [ ^ : =N o J e o ^ i or q eh[]v RUM? W RUi ^WEM=Zi[ X ;E VZOMOEE b]b EZ b E > e o i UX QPR b [ o J orq E [}WRU^WEM=ZX UE V&ZOMOEE b]b EZ b E ZOQSh o : =N Ek[dW,R;^W]E M?ZX ;E VZOMOE2E bb EZ b E> e o i XQSR b [ : oo GG E [}W,RU^WEM=ZX UEkV*ZOMiE2E bb E Z b E =f q e o i o ZOQSh q Ek[dW,RU^OW]EM=ZX UEkV*ZiMOE2E bb E Z b EA= e i e = i OZ QSh : E k¨ @ w ¨ @ ¦ BHB-w=« «¡w C Q E bb E Z b V RUF%F%NY[}E2E MXUhOhjE QSXUM?W Q[ XTUNPWBNSVNZVXUQSVZOQDQPE2hiQPZi[*[}NSF%hOQPEa8 } M [ NPM?WOE K b E [[}E X
(120) "! `?C ZON=VXUQSVZOQPE¢QP6Ek[a = b h b EbF%NSE b b [DW]E b F%Ek[ E¢Q¡ E h6RUMOE M;WNPE QPQSE~OE Y
(121) j = G $# j b = a A Xb UA EkVZOMOE~h b E K VNS[]NPR;M
(122) VR b bb Ek[}b h6RUMjOXM?W]E X&V EQSQSE_E_\ R;Z ~E K NiE `;ZiE_V EVXQYV ZiQMOR;Zi[ORUMOMOE_^ONPE MQ E=h6RUMiEM?W]NSEQSQPE EkV E V E K EUNSQ-[]Z¤%W
(123) OE¢E K Ni^ E `?ZOE_Q¡ RUM XUNW*[]Z¤[]XUF%EM?W(EVXUQSVZOQS[ £ R b []`?Z8 RUM XhihjE QPQSE*V EW}WE( RUMjVW]NSRUMURUM&[]XUNW~`?ZOE E [}W~F XscdR b EK hjX b = G
(124) =£ E,WE b FE*MEK T;QPNSTEK Ek[dW ^ m ^ J ?`?ZOE*Q¡ RUM % G G h6EZWF%XcdR b E b hiX b = G e = i) ~ } M UEZOW,ORUMiV 7796 . <. . = Q[]Z¤%W*D X }. UR;N b. Z EMjV R b E. . G.
(125) . . = . 9. =. . !'&)(*. G. 9 '! &)(* G=
(126)
(127) = YJ !'&-( * = =a = ,+ =. b EMi b E W + ;1F G e #/. if A E [}W,^ONPE MVE
(128) `?ZONDEk[dWBW b XUMi[}F%NY[EMh b XW]NY`;ZiEU=E W(R;MiV
(129) QPE
(130) ^jR;MV XQYV ZOQEk[dW,F%EMBEcK 8NPQE [}W(V E b WXNSM&`?ZOEQPEk[~W]E b F%E [MBE K TUQSNPTE K [ []RUM?W.^ONSEb M%MBE K TUQSNPT;C E XU^OQPEk[ RUF%F%EBb W]R;ZW.b QSE(VXQYV Zib QO[}EB XUNW¢X ;E Vb E [E M?W]NSE b [sQ E b]b EZ b V RUF%F%NY[}E,[]Z b QSE b EkK [}ZOQPWXWE [}W.FNSMONSF%EK8 E QPQSE[}E E K []ZOF%E X¦=ZOQPh 8iZOM hjR;Z QSXW R;MiVXW]Z EUEWBZiMh6RUZ QSX%N =NS[]NSRUM XUQSVZOQEQ E=h6RUMiEM?W]NSEQSQPE £ E bb EZ b V R;F%FNY[]E2hiX b QSEVXQYV ZiQ8E2Q¡ E h6RUMOE M?W]NSEQSQPED ZOM MOR;F_^ b E b XsWNPR;MOMOE QDE [}W*E =-ZOQSh 7 7 < ¦ y-ªU« w E @;B-ª@;E «¡w XUNPM?WEMiXUM;W*`?ZOE_Q¡ RUMV R;MOMi¹X z0W(QSE [(E bb E Z b [,iXMi[*Q¡dEK sXUQPZiXW]NSRUM EQ EhjR;MOEM?W]NSEQSQSE b XW]NSRUMOMiEQSQPE;ORUM h6EZW~E K WXNSQPQSE b QSE V XU[ b EK E QFV £ Ek[BE bb E Z b [~h b R =NSEMOMOE M?W,OEW b RUNY[[]RUZ b VE [Y8 C p;RUM RUh EC b EZOMOE b E K ZjVW]NSRUM D X b TUZOF%E M;WkOV E`?ZON8MBE K VE [[}NPW]E2Ek[&EK QEK XW]NSRUMi[BXUZ V X bb E K : a RUZ b QSE [ b E K EQY[,[}ZOhBE K b NPE Z b [ X. b A EM iM'b]b 8 XUQPT;R NW F%E f(NSMi[}ND[}NR;MXhihjE QPQSyE @ B e g~iHj ' e ;1F G ehgi S7i NPQ- XUZW2E E VWZOE b @ B e g~i EK Q EK sXW]NSRUMi[ XZ VX E K E 13546 Y==R 7Z C 135456%E K []NPT;MOE*QYXWXNSQSQPE2Z F%RW,F XUV A NSMOE : a RUZ b QSE
(131) h b E FNSE b WE b F%EUOV E QPZiUN T V NE [}W&EK T?XQSEF%EM?W,EkK VXQE*K O2
(132) + G_R;Z n E W(RUM X XZOWXM?W(DdEK QEK XW]NSRUMi[XZ VX b]b E K W 8 ;DFi e %E ehg~iCi:9 ;1F e 13546 i : ; : £ Ek[BF_ZOQPW]NShOQSNSV XsW]NSRUMj[,EM?W b E
(133) W]R;Zi[BQPEk[ XUV W]EZ b [,V XQYV ZOQ E K [ 8iNPQ8\EMXE OXUV W]EF%E M;7 a R;Z b W b RUZ ;E b Q E b]b EZ b V RUF%F%NY[}E;NPQi XZW.h b E Mi b EBW]RUZOW]E [~V Ek[RUhBE K b XsW]NSRUMj[ OXUMi[Q R b b E(G OXUMi[QSE `?ZOE QOEQSQPEk[.G [ E~E K V ZOW]EM?W Q[]Z¤%W*R;MiVE2h. . . . ;3. <4arc¯¹`¸4¼%¶µ± ¡$f´1°ª^ `¸¹ >=%¶·®w¯¹¸\´1°¶ =7%¸4c²µ½ °².-)«) ¶ ,+¹¡$¸4"¶·²·¶·¬ ¸¹®H¯~`º ª`«)¸¹°4-)a`®/¡$«"¬Y¡?°ª. Âà ®'ÄÅ)ÆÇÆ. ¹¶·®¹`¬w`w®¹«)®\`®;/¹¶ "¬C +.
(134) pkm. & &¦' '~2 n. n. p ,£ XQSTUR b NPW A F%E(bVRUF%F%EMiVb E(hiX b QPE*V XQYV ZOQ6Z h bb EF%NSE b WE b F%E? e Y i EQSZON`T VNjbb[]E*Vb XUQSVZOQSE(EME ZW]EF%hi[w8 } M V R;FF%E MiV E(hjX VXQYV ZiQPE Q¡ E h6RUMOE M?W]NSEQSQPE
(135) Z XsWNPR;MOMOEQ;VE*`?ZON6R=V VX;[}NSRUMOMiE(ZOMOEE E Z E/=ZOQSh8;hiZONS[~RUME E VWZOE 1346 Y'= EK QEK XW]NSRUMi[XZ VX b]b E K ?£ E b]b EZ b VRUF%F%NS[]E2E [}W(RUMiVEa8 n . . = 13546 G = 1346 G e e iCi. &Z E MiV R b E = 13546 G G Q\XE Mi[]ZONWE%QPEk[\;1F G e b %E e g~iCia ;DFi G b]e b 134b 6 i F_ZOQPW]NShOQSNSV XsW]b NSRUMjA [ D£~X C XUZi[][]Njb NSQ XZWD X^6R b bLV XQYV b ZOQSE b WRUZWE [
(136) QPEkb[ E h6RUbMOE M;WNPE QPQSjE [ £ OV bEb `?ZOb NDh R ;R=`?ZOE
(137) ZOMOE2E EZ OE =-ZOQPh h6RUZ V XU`?ZOE
(138) XUV W]EZ EVEhWOEK QPEh EF%NSE hOZONY[(VXUQSVZOQSE QPEk[Bh R=OZONW[ E E Z W]RWXQSEE [}W*RUMiVEa8 }. e ;1F G e C4E ehgiic ;1F G e 1 3546 iCi e D; Fi G e %E ehgiif ;1F G e 1 3546 iCiJ7 = = 135456 G . RUZEMiVR b E e ;DFi G e %E ehg~iCic ;DFi G e 135456 i = 13546 G i +O Q b E [}W]E X C RU^WEMON b QPE b EkK [}ZOQPWXW iMiXUQ Q XUZW* XUN b E_h6RUZ b V E QSX @ B ehg~i EK QEK XW]NSRUMi[*XZVX b]b E;K XC hiX b WN b Z b E K []ZOQPWXsW RU^WEM=Z OXMi[(Q¡dE K WXh6Eh b EkK VEkK EM?WE =£ E bb E Z b W]RUWXQSEE [}W(RUMiV2OEK8 e e ;DFi G e %E e g~iCic ;DFi G e 1 35456 i = 135456 G if i =
(139) =
(140) . RUZEMiVR b E e e ;1F G e %E e g~iiK ;1F G e 153546 i = 1346 G ii =
(141) . ZONDh6EZW[]EF XscdR b E b hiX b s s = 135456 G G ZiQPh [}R;Zi[BQYXVRUMiONWNPR;HM 8 e ;1F G e C4E e g~iiK ;1F G e 153546 i = 153546 G `?ZON8E [}W ¢E K b N ,EK EEM h b XsW]NY`?ZOE SS N (! & -(! ! , , !8 -(!. . 9. ?QCS. . * &;($* + _ -[`].0/ W / 1 * ( Za] ( ][`_aZ ? W. a R;Z b TE K b E b W]R;ZW]Ek[QPEk[
(142) RUMiV W]NSRUMi[ MORUZi[X ;RUMi[
(143) EkK V NY~EK OE%V b EK E b ZOMOE R;MiVWNPR;MLTEK MBE K b NY`?ZOEU6`?ZOE%Q¡ RUM'NPMjV QSZW2EMi[]ZONPW]E OXUMi[,QSEh b R;T b XF%F%E
(144) `?ZON8ORUNPW*VXQYV ZiQPE o~b QPEk [W]E b F%E [ O£ Ek[(N UE b []E [RUhWNPR;Mi[,[]ZONsXUM;WE [BR;M;WEK WOE
(145) K TE K b EK Ek[8 : £ X%EK iMONPW]NSRUM E [BhjX b XF EC W b Ek[ : £ X XUV W]R b NSEQSQPE2XUZ&M=ZOF3E K b XW]EZ b h6EZOWEz W b EV A XMiTE K E £ E2E K MORUF%NSMiXsWEZ b h6EZAW Ez W b EZOMOE2hOZiNS[[]XUMiV E2E =R;Z&ZOM E M;WNPE b `?ZOEQYV R;Mi`?ZOE £ EW: X^iQPEkXZG_NSQSQPZi[}W b E2Q Zi[XT;E
(146) OE [,hiX b XUF EC W b Ek[~OXUMi[BQSE [BE E FhiQPEk[E K WZiN E K [ . k)l{Âknm.
(147) pUp.
(148)
(149)
(150) "!$%#
(151) '&(# ) *. dfe g~i. x ehvwi t he vwi Y y v . dfe g~iaj e g~i. . dfe`$g G iKj E F2@ e = gi. . dfe$g G iaj @CBD< e g = gi =. Gi e v i ehv !. dfe g~iajp ;D< e g g~i. v v =. dfe`$g G iKj E'g < ehgi g. . ÂÃ ®'ÄÅ)ÆÇÆ. e v i ehv GJ i. G 8: 7. 43. v GJ G v 5. RE
(152) .
(153) . #"
(154) . % $ %$&' %$( ) ( %5* +$ ,* -$ 6
(155) 5. % $ /10 2 %$&' %$' )" '
(156) % 6 $, *$ 6 %5* +$ ,* -$ 6 /10 2.
(157) )& D?!?# A# ) *
(158) 'D)K
(159) '~ "
(160) 'Ar) 1).
(161) pG. & &¦' '~2. ?Q P. [Z 3b WY] I _abr[Z 3\b. £ Eh b R=VE K E2K EV XQYV ZOQ-E [}W*NYV N W b E C [([]NSFNSQYXN b E_XUZVX;[*EQ¡ E h6RUMOE M;WNPE QPQSEK86RUMV XQYV ZOQSE Ek[ b XsW]NSRUMiMOEQY[=hOZiNS[,R;MXUhOhOQSNS`?ZOE2QYX R b F_ZOQSE. ^. ^. ^. ^. E F7@ e o Y i EWH@CBD< e o Y i. hjR;Z b. E F2@ e oH iKj EF2@ o E F2@ @B1< o @CB1< . h6RUZ b RU^WEMON b QPE2V XU[ b EK E Q £ X%[]EZOQSENP¤V ZOQPWOEK Ek[dW(NYV NDQSEVXUQSVZOQ8D E bb E Z b H79687;: ¦ z'y-« w=x G w u B w u «¡w?x } M E K FR;M?W b ENYV NOE [ b E K []ZOQPWXsW[B`;ZiNUR;M;W([]E b =N bX% C VXUQSVZOQPE b iMOE FE M?W(QPEk[BE bb E Z b [ " " @ ¨ @ ¦ B C ¦ y-x ¨ ª ¨ @ ¦ B + } MhiX b WELE Z3MiRUF_^ b Ek[ o E W o h b RV A EE Eo W h b RV A EEmO
(162) ¡V E [}W T X C T N b E D E Ah6R;[b XM? W Tp*EW $v e o =iX Uj EkV v e"=i []Z¤b[XF%EM?W¢T b XUMi! RU^OW]EM=Zi[X UEkV,E [E b]b EZ b c[ > e i EW> e"i =E WORUM?WQSE*MiRUF_^ b E EV N Ek[BE [}?W %E %E f(QSR [[]RUZi[BQYX V R;MiNPW]NSRUM R;ZE MiV R. ;1F G C4E e" i > e"i + %E e o i b E;OXMi[BQSEVX;[,`?ZON8MOR;Zi[BNPM?WOE K b E [[}E
(163) h%E e o iaj C4E e i 8 > e"i 9 ;DFi G V RUF%F%NY[}EE [}W(XZ hOQSZi[,E> e o i =-ZOQPh M E E WkORUM []EW b RUZ ;E
(164) XUQPR b [BOXUMi[BQSX []NPW]ZiXW]NSRUM [}ZON sXM?W]Ec8. Q E b]b EZ b.
(165) . ! "# $ & % ( ')') (*+ ($ -,.%/ b ?NSEM?WZOMONY`?ZOEF%EM?W2E o. XbbMi[
(166) Vb E%VbX;[jQ¡ E bb EZ QSE [
(167) EZZiQPhi[ UE MiXM?WE_Q E b]b EZ b []Z b
(168) XUZF XsNPFZOF ZOQSh *E W E2Q E E Z [}Z Q XUONPW]NSRUM ¦! z'y «¡w " " " @ ¨ @ ¦ B } M&hjX b W,OEAEF2@ o9 @B1< o~ EF7@ @B1< i£ Ek[BE bb E Z b [[]E2V ZOFZOQSEM?W*E2QYX_ X8V I R;M[]ZON XUM?W]Ec8 «¡ªUy-« " w E F2@ e oH i Q X ZW_V XQYV ZOQSoE b E F2@ o EF7@ EWA@B1< o @CB1< DhOZONY[EMi[]ZONPW]E% XUN b EQYX NP*E K b E MiV E o8£ E bb E Z b RU^WEM=ZOE NSVN8E [}W(RUMjoHV2 E ZOQSh e EF7@ i >o e E F2@ i i[]N8RUo MhjE ZW(MBE K TUQSNPT;E b QYXhjX b W]NYV NShiXsWNPR;ME@CBD< @CBD< «¡ªUy-« " w @CBD< e i oQD XU ZW*VXUQSVZOQPE b @B1< E F2@ EWEF2@ @CBD< ihOZONY[B XN b EQYX%[}R;FF%E i£ E bb E Z b o RU^WEM=ZOE2NYV N8Ek[dW(21 R;MiV E ZOQSh > e @CBD< i e EF2@ i E M MEK T;QPNSTUEkXM?W~QSE [(E bb E Z b [BZ []E V R;MiW]E b F%E
(169) V X b E F2@ @CBD< @CBD< e i } MEMEkK ZONPW,QPEV XU[BZOM h6EZ hOQSZi[BTE K MBE K b XUQ 43#57e o/ i ^ ^ ^ ^ ^o_ i ^`_ b o o o e e i e i e b b =N8R;MNS[]h6R;[]EO/E E F2@ ^ ^ _ _ q o E^W @B1< jX UE V
(170) Ek[, E E ^`^`Z _ _ q [OHE > 9Eo F2^ @ E ?W @CBD< i : Q¡ E bb E Z b []Z b EF7@ e ^ _ q J ^ i E [}W(E e v i ^`_ q J > E F2@ e ^ i o J i Ek[dW(E ehv i G > 9EF2@ e o i > 9@B1< e o J i : Q¡ E bb E Z b []Z b @B1< e 0. . . 9. . !¦ z'y «¡w " y "-¦ y « w @ RUZW []EhjXU[[}E&^ONPE MiXMi[ZOMh b EF%NPE b WEF%hi[ hOZONY[]`?Z8 RUM[]E&hOQYXUVEiXMi[ZOMRUF XUNPMOE&R Z C C V XZi[]E&OEQYX[]RUZi[}W b XUV W]NSRUM { ME6EW RUM3V RUZ b W Y'=OE WRUM3E [}W['Z z b `?ZOE&Q¡ RUMMOE&h6E b hiX;[OE&h b EkK V NY[}NSRUM XL []RUZ ;EM?Wb QSE b NY[`;Zib ED X URUN ba XC b E6EkVW]ZiE b ZiMOERUhBE bK b XsWNPR;M'Z Wd\=h6E o A b X ;E V o o W b j E C [?h b RV A E E S VEAj`?ZON¢?R VV XU[]NP R;MOMO E ZOo Mi ERh6jE W] E% E%h E K VNS[]NSRUM b X E EF%hOb QSEU8b []NRUMW X sXUNPQSQPEX UEkV =&V NP E A [ DX b UEk V . EW . . =E W(QYX%h E K V NY[]NPR;M[}Z QPE E K []ZOQPWXWM8 E [}W(hOQSZi[,`?ZOEE V NP E . . EF7@ g. . 9. . k)l{Âknm.
(171) p+.
(172)
(173)
(174) "!$%#
(175) '&(# ) *. ¦ x>@FBDy x } MZOW]NSQPNY[}E~QSX, R b F_ZOQSEE F2@= o j =KEF2@ G o k£ EVXQYV ZiQ?ZVX bb EK R=V VX;[}NSRUMOMiE.ZOMOE~E bb E Z b ER=f e EF2@ o i ZiQPh8=QSE
(176) E K V XQYXTUE*M8 RV VXU[]NSRUMOMOE*hiXU[BD E bb E Z b ;EWQYX_[]RUZi[}W b XUV W]NSRUMRV VXU[]NSRUMOMOE*ZOMONY`;ZiEF%EM?W,ZOMOE
(177) E bb E Z b E ZiQPh8=hOZiNS[ T `?Z8 RUM%b E [}W~OXUMi[QSE(VX;[R Z%C QPEEZN EC F%EBRUhBE K b XMiOE~Ek[dW~VRUMOM=b Z%[]XUMi[E b]b Eb Z b sE W.R Z%C QPEk[.EZOR;hE K b Xb MjE [[]RUM?b W.[}Z¤[XF%F%EM?W NP*E K bEM?W[
(178) QPEk [,E h6R;[XM?W[BR;M?W(hOQPZj[(D ZOMOEZOMiNWOEK ENP*E K EMiVE ~hjR;Z `?Z8 NPQM8 \XNPW*hiX;[,E2hjE WEEh EkK V NY[}NSRUMOXMi[(QSX []RUZi[}W XUV W]NSRUM E 8jNPQ8\X
(179) cdZi[}W]EZOMiE2F_ZOQPW]NShOQSNSV XsW]NSRUMiE W(ZiM~E K V XQYXT;EU=V E C@;BDy-x dV NOQSEVXUQSVZOwQ @CBD<= o j =c@CBD< o EF2@ o E [}W(hOQSZi[([]NPF%hOQSK `?ZOND XUNW(ZiMOE2E bb E Z b E ZOQSh > e @CBD< o i e EF2@ o i 9} M EMEkK ZONPW,QPE2V R b R;QPQYXN b E 8 ¢b]b EZ b OXUMi[,V R?[}NSM=Zi[BE W*[]NSM?Zj[ =N8R;MV RUMiMi4X z0P$W @B1< o E W E F2@ o X UEkV*QSqEZo b [BE bb EZ b [q XUQPR b [ 8 E @CBD<= q o E [}W*E e = q ie o E F2@ o i @B1< o : £ E bb E Z b OXMj[BQPE2VXUQSVZOQ E E F2@= E [}W(E = e > 9EF2@ i : £ E bb E Z b OXMj[BQPE2VXUQSVZOQ . . s ¦ « w?zw " w%x ¦ y x ¨ ª ¨ @ ¦ B } M%X bb N;E~NYV NOXUZV XU[QSEhiQPZi[EK QSNSV XsW8[]N o Ek[dWh b RV A EOE$>HY QSE(VXUQSVZOQOE?=cEF7@ G o b E K []ZOQPW]E b XEMLZOMOE_h6E b W]EE_h b EkK V NY[}NSRUM 0 XUMi[(QSE_h b RUT b XUF%FE;OV EVXU[*[}E b X TE K b E K X C hiX b W8D=N-RUM[ XUhjE b VI RUNPW`?ZOEQSEVXUQSVZOQ VRUMiZiNW X(C ZOM2h b RU^OQ EC F%EE.VEWd\=hjE;NSQ;[]Z¤%W D XZOT;FE M?W]E b QSXBh b EkK V NY[}NSRUMZ2MOR;F_^ b E.E¢NSTUNPW[[}ZOhih b NSFE K [hjX b Q R;hBE K b XW]NSRUM8 EW*E b E XN b E
(180) QSE [(V XQYV ZOQY[ f*NPMj[}NORUMMOEWNPE Mi b XhjXU[,V R;F%hW]EE2VE W}WE2hjR?[][]NS^ONPQSNPWOE2K OXUMi[BQPEk[,VXUQSVZOQS[ « ªUy-« " w w=y H7968796 g E h b EMOR;Mi[BZOM hOQYXM XMiXUQPR;TUZOE X%C V EQSZON8ZOW]NSQPNY[E
(181) K h6RUZ b Q¡ E h6RUMOE M;WNPE QPQSE p XbQYV ZOQSRUMj[W]C R;ZWD Xj^6a R b %b Q E b]b EZ b h b R ;EMiXUM?W¢ZVXUQSVb ZOQjb Z&V R;[]NSM?Zj[.E W[}NSM=Zib [ b XsWNPR;MOMOEb QY[ ;a RUZ b QPEb V R;g []NSM?Zj[?V EQSQSE T V N [}E EkK [}ZOF%E X =-ZOQSh R;Z QPE[}NSM=Zi[iNPQDg XUG ZW*gFZOQWNPhiQPNSE QSE E K []ZOQPWXg WBEk[,g RUhBE K XsWNPR;Mi[hiX ZiM& X;VWEZ ihOZiNS[`?ZOE2QPEk[ VXUQSVZOQS[¢[}R;M;W.F%E ME K [E M% XNPW~X UEkV UEW¢MORUM X ;E V g ;£ E bb E Z b [}E b EkK [}ZiFE,R;MiVBNYV N X C ZiQPh Q [}E b XUNWhjR?b [][]NSA ^OQPEENSFNSM=ZOE b b C Q E b]b EZ b¦X C =-ZOQSh=EM&E E VWZiXM?W,QYXF_ZiQWNPhOQSNYVXsWNPR;M&hjX b g iXMi[QYXhiX b WNPE b XW]NSRUMOMiEQSQPE E2Q XUQPT;R NW F%EU=E W(MOR;MXUh E [ G ,£ Xb QSTUR b NPW A F%b E
(182) V RUF%F%EMjV E
(183) hiX b QSEV XQYV b ZOQDZh b EF%NSE b W]E b F%E E QPZO`N T V ND[}EVbXUb QSVZOb QSEE M E Z W]E F%hiw[ 8 } MV RUF%F%EMjV E hiX V XQYV OZO£QSE b]QSE b [Vb R;[]NPM=Zi[EW¢[}NSM=Zi[.Z XsWNPR;MOMOEQV E(`?ZONRV VXU[]NSRUMOMOEBZOMiE,E E Z E ZOQSh8hOZiNS[R;ME6EkVWZOE 135456 Y'= RUZi^OQPEk[ E EZ VRUF%F%NS[]EE [}W*RUMjV
(184) OEK8 . . . . . > e E F7@ iKj = 153546 G > e @CBD< iKj = 1 346 G. +O Q8\XEMj[}ZONPW]E2QSE [R;1F G e %E e g~iCif ;1F G e 1346 i . R b F_ZOQSE [BD XUiNWNPR;M i£ E b]b EZ b WRWXUQPEEk[dW*R;MiVEK8. > e E F2@ ij = 1346 G > e @CBD< iaj = 135456 G . e ;DFi G e %E ehg~iCic D; Fi G e 13546 if i e ;1F G e %E ehgiic ;1F G e 1 3546 if i . M [b Xh6bE b C V R;NWXQSR b [ `?ZOEBQSE~F E z F%E~b F XscdR b XUM?W-`?b ZOEBh b b E K VE K E F%b FE M?WE [}W XU QSXU^OQSEUs[}NQSEMORUF^ b EBR;M;WR;MUE ZWQPE,V R?[}NSM=Zi[ Ek[dW(NSM E K NSEZ XZOM =NPMiRUM8ONSQ8h6EZWAEz W EMBEkK V E [[XN E*OE XcdRUZWE E [*NPT;NW[ }. ÂÃ ®'ÄÅ)ÆÇÆ.
(185) p n ?QH. & &¦' '~2 . £ A b 2 bW R;Z UE E [Bb V ZiMOR;E
(186) []E [R b []F_RUM?ZOW~QSE
(187) NYV X;ND^6EkK E `;XUZjZiXsV W]R;EZOhjh R;hOZ QSb ZiQS[BE[]V NPF%XQYhOV ZOQSE Q[ VhO E ZO[}NYW []T `?X C Z8T NSN Q6b E\ZOXMOF%E
(188) RU R NSMib F_[BDZOQSRUE2hB[}E KZO¤ XW][NSXRUF%Mi[ F%EM?MW b XUXUNWkhONYQSXE O[}E a ZOR;QSZ E
(189) b VNPE¤QYXOV =ZORUQPWOMEK ZEk[dWW,NPQSNS[]EE Q XUQPb T;R b NW A F%bEhjR;Z b VXUQSVZOQPE b ;D< e g~i OE W(R;MEk[][XNSED X ;RUN b g b E QSXW]N UEF%E M;W,h6E WNW j£ Ek[,NP*E K b E M?W]E [~ R b FZOQPEk[W b RUZ ~E K E [ hiX Q¡ XZOW]EZ [}R;M;W,QSE [([]ZON sXM?W]Ek[Y8 ;1<=. j ;1<. . ;1<=. j ;1<. . ;1<= ;1<=. =
(190) .
(191). ;1< 8
(192). . = f D ; < 8
(193)
(194) . j f;1< c;D< ;1<
(195) =
(196) =
(197) . j ;1<. £ XE b MON EC b E
(198) R b F_ZiQPEEk[dW
(199) QSXhOQSZi[(E¤ V XUVEU6hOZONY[]`?ZOEQSE_hiQPZi[T b XMj&MiRUF_^ b E X&C V R;Mi[}NYE K b E b E [}W Y iiV E`;ZiN-X;[][]Z b E2ZOMOE VRUMUE b T;EMiVE b XhONYE w M' XNPW V E`?ZONDcdR;ZOEQSE hOQPZj[OXMj[2QSX =NPW]Ek[][]E EVXUQSVZOQV E [}WQPE F%R;FE M?W X C hiX b W]N b Zi`?ZOE Q.RUM h6EZW
(200) V RUF%F%EMjV E b_XC MBEK TUQSNSTUE b QSE [W]E b F%Ek[ f*NPMj[}NOh6RUZ b QSE2QPR;T;X b NPW A F%E;?QdE K `?ZiXW]NSRUM X C ~E K b NiE b Ek[dWw8. £ XVRUMiONWNPR;M []E
(201) W b XUZiNW*XUQPR b [EM. g G =. 9. =. . !'&-(*. W + ;DFi G e #/. if ;1F G e ;1F G e Y gii `T. } b b b b b e e g~ii b E []hjEkVMvWNV;RUEF%F%hEM?EW MiS X NS Mi []N*Eh6WARU= Z w}`?ZOM RUN*;RUQPEkNPWL[ E K T;R XUF_QPE FZiQPE EkM?[W
(202) V h6N RUOZ E b[`?[}ZiZO[RUN[NS QXF3E [}E KWQPNSR N¤EM?VW NPQSE hiZOENS[`?W b ZORUEZ ;QSEE b XUZOV MOW]EE Z R b ;1F_F ZiG QPJ E ;1F`? ZOG N.[]RUY NPW
(203) E Mi V XUR Zb EW F%b EANSQSQPE b Z Ab E`;ZiEQPEk[(h b EkK VEkK EM?W]Ek[=hOZiNS[`?Z8 NSQ8 XUZi b X NPW*`?ZOEQSEhOQSZi[(T b XUMi& XUVWEZ b [}R;NW*OEQ¡ R b b EE G jVE_`?ZON b EMj QSX E V E V E
(204) EWEQSQPEk[,V R;F_^ONSMiXNY[]RUMi[BXU[[]E |hBE K MONP^iQPE . ?Q . . £ E b XNY[]RUMOMOE F%EM?W-Ek[dWQSEBFEz F%E`?ZOEBh b EkK V E OEF%F%EM?W E W.NSQ= XZOWW b RUZ ;E b ZOMOEB X VI RUM b UX hONSOEBOEBV XQYV ZOQSE bks£ Ek[[}R;QPZWNPR;Mi[ []ZON XUM?W]E [,[]RUM?W,EM=NY[]XUTUE XU^OQSE [8 > j E < E < XUV A NSM88psrsm.
(205) =
(206). > >. . j =E'<
(207) E '< E < .
(208) =
(209) ==E '< j E '<
(210) =
(211)
(212) E '< = E < S
(213)
(214) E < E <
(215) =
(216). IXZi[[Dp. #. +. f b Mi=W
(217). £ X2F%ENSQPQSEZ b E*[]RUQSZW]NSRUM Ek[dWkUE M W A EK R b NSEUsQYXE b MON EC b EUUhOZONY[]`?ZOE*VU Ek[dWV EQSQSE*`?ZONjNY[]hjR?[}E*OE [ X;VWEZ b [.QSE [¢hOQPZj[¢h6E WNW[ XNY[ MOR;Zi} [ ;E bb b R;Mi[¢E b M h b XW]NY`?ZOE2`;Z E QPQSE [,. []RUM?W,h b XsW]NY`?ZOEb F%E M;WEkK `?ZObNsXUQPE M;b WE [BXZ MON UEkXZ&W]bE b Fhj[,EVXUQSVZOb Q MW RUZ!UE XEK T?XQSEF%EM?WOXMi[ 'EN13jE,MiRUF_^ E Zi[}Ek[XZW Ek[- R F_ZOQSE [¢`;ZiNOhjR;Z XUNPE M;W.R;MOMOE ZOMOE(VRUF%hOQSE NWOEBK hOQSZi[ XUNP^OQSE k)l{Âknm.
(218) p.
(219)
(220)
(221) "!$%#
(222) '&(# ) *. ( !- -
(223) ! £ E [2F3EK W A REk[V N`T OE [[}Zi[_X \;XM?W2ZOMOE ^6RUMiMOEV R;F%hOQPENWOEUK 8E QPQSE [RUM?W
(224) []RUZ ;EM?W []Z b hiXU[[EK QSE [W]EkV A MONY`;ZiE [2h b EkK [}E M;WE [ OXUMi[QPEk[XUMiV NSEMOMiE [ ;E b [}b NSRUMEF%h bk EkV N-E [}W
(225) XU[£ []E | =NY[}NS^OQSE_OXMj[*QSEV XU[*b OE_Q E=h6RUMib EM?W]NSEa QSQPEE WE J a RUZ b [}A NSM=Zi[E W V£ R;[]NPM=Zi[ 6XUZiV ZiMOEVRUF%hiX XNY[]RUMM8dE K WXNPWh6R;[[}NS^OQSE £ Ek[(WE b [}W[
(226) RUM?W*WRUZi[EK WOE K EkK XQSbNS[E K [,[]Z b ZOM E M?A W]NSZO} F C m;m |%[}R;Zib [ NPM=ZD6QPEk[,W]E F%hi[[]RUM?WORUMOMBE K [(E MF%NPQSQPNY[]E V R;MiEk[ Ek[ E K []ZOQPWXsW[([]RUM?W[]NPF%NSQSXUN E [[}Z ZOMLf*QPh X iF XUNS[F%ENSQPQSEZ [ E M&WEF%hi[(OEVXQYV ZiQ . RQCS. %'& W 1_aZWwZ][W * * W. £ E [ b EkK [}ZiQWXsW[&[}R;M?W&NYV N
(227) W]R;ZW XC XNPWh b R;^iXM?W[ hOZONY[]`?ZOE'Q¡ ZWNPQSNS[XsWNPR;M E'Q¡ XQSTUR b NPW A FEL RUZ b MONPWNYV NEk[ b EkK [}ZOQPWXW[ ^ONSb EM F%E NPQSQPE Z b [ } M ¢E K b NiE b XL^iNPE MNYV N*QSX VRUF%hOQSE NWOEK W A EK R j¦b NYe `;ZiE&e vwNSMiii`v NY`?J ZEK E V R b]b E []h6RUMi X'C Q¡ XQSTUR b NPW A F%E h EkK VEkK EF%F%EM?WBNPF%hOQYXM?WOEUK RUM?W(QSE
(228) W]EF%hi[*EVXUQSVZOQDE [}W(EM b vKe 1 B`@ i " # o J 3 S S S S S = SS SS S S S SiSS S · = S = SiSS = SiSS S = S = S S SSiSS S S S = SSiSS S S S SSiSS S SSiSSS S SiS S 2 = = S=S SS S S = SSiSSS SSiSSS S S = S. . . . . . . . . . .. . .. . ~+ : 'D )
(229) 9 " D. M. = SiSS. iS SS SiSSS = SiSSS SiSSS SiSSSiS = SiSSSiS SiSSSiS. H RQ P. n. W]E Fhj[. . . e3 @ i. = S S S == S. =. SS. . S. n J q
(230) q . = = = = = . = = . :
(231) &~D 2 # ^&
(232) C D H%#
(233) ') *
(234) '~ 1. . £ E [ b EkK [}ZOQPWXW[2[]RUM?WNYV NhOQPZj[F%NWNPTE K [ w M'E6EW -NPQ~E [}WEW]RUZOW]E X8V I RUMON¤V NSQSED X URUN b ZOM ^6RUMXUQPT;R b NW A F% E hjR;Z b V AXQYV ZOb QSE b ;1<=Eb W(Q¡A ZW]NSQSNS[XsWNPR;MEk[,b[E K b bNPEk[ A \=h6 E b TE K RUFE K W b NY`?ZOE [.FR;M?W b E
(235) NYV N8[]E [BQSNSFNPW]Ek[ | EkK XMOF%RUNSMi[ XC hjX b W]N b E SSiSSiS V NP Ek[Q XUQPT;R NW F%EE [}W(hOQPZj[BhjE R F XM?W RQH. . £XC EMjV R b EU;QPEk[ b EkK [}ZiQWXsW[~[}R;M?W~hOQSZ¹W RUz W^6RUMj[?hOZONY[]`?Z8 RUMX bb N UE XC Ez W b E
(236) NP R;NS[hOQSZi[ b XUhONYE*h6RUZ b `?ZON8F%R;M;W b E^ONSEM`?ZOEQYX%FE K W A R=OE
(237) Ek[dW,F%ENSQSQPE Z b E ÂÃ ®'ÄÅ)ÆÇÆ. SiSSiSS. V A NP b E [ =V E.
(238) p. & &¦' '~2. ?WXMiiX b R b FZOQSf*EQPT;p R b N W RA bF%FE
(239) ZOTQSE EK MB+ E K b NS`? ZOR Eb FZOQPEn . v SiSS. SSiSS. . = SSiSS. =S. S. 2 S. S = S. S SiSS SSSiSS = SSSiSS SSSiSS. S i SiS = '=. SiS. i S =S S. S SS SiSSiS = SiSSiS SiSSiS S SiSSiS = SSiSSiS SSiSSiS. S. S = iS S S. S S S S. S. SiS. i S. ' = S. == S S. S. S. S S. : 'D ;1<=. HH. v. = S. S. S. ?WXUMiOX b *fLQPXUT;V R A b SNNMW A F%IEXUTZiE K []M[ E K b NY`;f Zib E MiW i S S =. SiS S. S. =S. = S . S. = S = S .
(240). . S. = S S SS. . = S. SiS. S S . S. . = . . . . S. S. = =S. S. =S SS. = S. . SS. = =2= S. : D 2 >. t w?z y w
(241) { E b WXUNPMj[-OE [ b E K []ZOQPWXsW[R;^W]E M=Zi[hjE Z UE M?WREz W b EBXFEK QSNSR b E K [DE MF%RNjXM?W.Q EK T EC b EF%E M;W Q¡ XQSTUR b NPW A F%EhjR;Z b `?Z8 NPQ[ X b]b Ez WE EkC [*`?ZOEA QYXh b EkK C V NY[}NSRUM MBEkK V Ek[][Xb N b E2XE K WOEK XsW}WENSM?W]EU6E WMOR;b M QPR b [`?Z8 NSQ X b]b N UE[]Z b ZiMOE_hOZiCNS[[]XUMiV EE = E Vb N NSMiZONPWEME6EW%ZiMh EK MiRUF EMiEEME [Vb XUQPNSE b `?ZON,M8 X'b hiA XU[%QSNSEZDb DEz W E EW}W]ER;hW]NSF%NS[XsWNPR;M3X E}K c X E K WOEK F%EMBEK E hjR;Z Q EhjR;MOEM?W]NSEQSQSEUOF XNY[BMOE2Q Ek[dW(hjXU[BEMjV R E[}Z Q XQSTUR NPW F%ETE K MBE K NY`?ZOE ( !- I b XUz VE XC Q ZWNPQSNY[]XW]NSRUM E [
(242) R;MiVWNPR;Mi[ A \?h6E b TEK RUF3EK W b NS`?ZOEk[,E W X&C QYX&F3EK W A RE ~') "³ " r! 8QYX =NWE [[}E%EVXUQSVZOQ bEVE b WXUbNPMOEk[ RUMiV W]NSRUMi[*E2b F%A h b XhOZ Ezb W b EXUZOTUF%b E M;WOEK E;b []XUMi[,h6RUZ b XUZWXUM;b W*[XUV b NiEb b E M h b E K V NY[]NPR;M } Mh6RUZ b]b XEMi[]ZONPW]E EK ZOW]NSQPNY[}E QPEk[,F Ez F%E [BXUQPT;R NW F%E [hjR;Z V XQYV ZOQSE D XZW Ek[ RUMiV W]NSRUMi[ UR;N E2D XZW Ek[,V RUMj[dWXM?W]Ek[ ( (* ,(! . B 4r 3 o;RUMiXW A XUM R b ~E NPMXMi a E WE b R b ~E NPM a'~ ~
(243) NSQPE \ T M?W]E b [V NSEMjV EUD4p 0 r . b Esr 3 g NYV A X b a b E M?W @BA EV R;F%hOQPENWd\RU-FZOQPW]NShOQPE Th b EkV NY[}NSRUM X b NW A F%E WNSV
(244) '&?D
(245)
(246) &~ ^
(247)
(248) D&Y
(249) ³4 7! 8%p 0=r . I b X;mU'm 3 @ R b ^c R b MI b XMiQPZOMj
(250) ³ ~1C µ)
(251) ' \) hr&y f C) +O m p
(252) EkNPW]NSRUM8if*h b NPQ GUmUm;m *g(£ 8 5 0! 0 "# $ 0 0 . # a 0?4r 3v b ZOMOR # XUNP^OQSE2XMi @BA R;F%X;[ a XhiXUMODN L;RUQYXR;Z X;[dW,FZOQWNPh b EkV NY[}NSRUMEsXQSZiXW]NSRUMRU-[]E b NPEk[BR b XW]NSRUMiXUQ6M=ZOF^jE b [ 4p 00?r . e2X b 0Op 3 L XW A X b NSMOEf e2X b XsW[}Zi^iX X;[dWEsXQSZiXW]NSRUMLRU.W b XMj[]VEMiOXUQ ZiMiVWNPR;Mi[ % C
(253) D & &$ C2 ')4
(254) )&y "). 4p 00Op . e2X b 0?¹r 3 L XW A X b NSMOE.f e2X b XsW[}Zi^iX s X;[dW EsXQSZiXsWNPR;M2R A \=hjE b T;ERUF%EW b NSV ZOMiV W]NSRUMi[^= \ ()*)
(255) &~ ^
(256) " h
(257) 4¹ '~ 7 ~
(258) +
(259) ') 4p 00?r . a RUµQ 00'3 a R;QSe2f ,& ³ " D-C µ
(260) ' 7 1
(261) %' " r!!./$
(262) ' 0f C') ~p mE ONWNPR;M8 o;ZOMOE4p 000 0 NS[]hjR;MONS^OQPE X. C Q¡ *g(£ 8 5 0! 0 "# 0 "1 .0 . E N 3 ¢b NYV 'ENY[][}W]E NPM 0 XWXU^iXU[]ER
(263) XUV A NSeM T QP1N LUE R b F_ZOQYXU[ M ) 32 µ) ^ 42
(264) )1
(265) `5 ' &y *g*£ 8 5 00 6 5 0 875!9 0 3 5+ /
(266). k)l{Âknm.
(267) pr.
(268)
(269)
(270) "!$%#
(271) '&(# ) *. 3 *! +
(272) *(! : B ¨s¦" y-ª ¨ @ ¦ B 6 < F« G ¦ @ >¨ = zw G p 0£ EK iMONPW]b NSRUAMi[ 222b 2b222
(273) 22222222222222
(274)
(275) 222222222222
(276)
(277) 22222222222222
(278)
(279) 22 G G XUQPT;R N£ W F%Eh6A RUZ QPEk[ XW]b NSRUMOMiEQY[ 22222
(280) 222222
(281) 2222222
(282) 2 G G p £ X%FE K bW RA E2~NSMiX 2\2=hi2QPNP
(283) W}W2NPMOT 222222
(284) 222222
(285) 2222222
(286) 2 G G +G XUQPT;R NW F%E 222
(287) 2222222
(288) 222222
(289) 2222222
(290) 2 G G RE2E MXhOQSE EHE;« @¡ª ¨ @ ¦ B « w E ¦ B w B ¨ @¡w=« « w «¡wª x w=u w=« +i p 0 E K b EkK V Z b []NsXsWNPR;M 22222
(291) 2222222
(292) 222222
(293) 2222222
(294) 2 +i G £ E2VXU[ b E K EQ 2222222
(295) 2222222
(296) 222222
(297) 2222222
(298) 2 +i + f*MiXQS\[}E2D E bb EZ b 2222
(299) 2222222
(300) 222222
(301) 2222222
(302) 2 +i +i p ¢b]b EZ b h b RZONPW]E2hjX b ZOMOE2FZOQPW]NShOQPNYVXW]NSRUM 22
(303) 222222
(304) 2222222
(305) 2 +i +i G £ X%hiX b W]NSE b XW]NSRUMOMiEQSQPE 2
(306) 2222222
(307) 222222
(308) 2222222
(309) 2 +i +i + £ X^6RUZiVQPE2h b NSMiV NShiXUQPE 2
(310) 2222222
(311) 222222
(312) 2222222
(313) 2 < w?x y ¨ w=x ¦ B ª ¨ @ ¦ B-xw ¨ ª ¦ B-x ¨ B ¨ w=x n p F%hOQSXUM?WXsWNPR;MEQ¡ XQS2TUR b NP2W A 2F%E 2
(314)
(315) 22222222222222
(316)
(317) 222222222222
(318)
(319) 22222222222222
(320)
(321) 22 n G NP M=Zi[BEW* V R;b []NSM?Zj[ b 2
(322) 2222222
(323) 222222
(324) 2222222
(325) 2 n G p R F_ZOQSE [BTbEb K MBE K b XQS2E [ 22
(326) 2222222
(327) 222222
(328) 2222222
(329) 2 n G G XUQSVZOQD E EZ n + ;D<H= 222
(330)
(331) 22222222222222
(332)
(333) 22222222222222
(334)
(335) 222222222222
(336)
(337) 22222222222222
(338)
(339) 22 nn >
(340) tvw?u xky-« ¨ O¨ x O p £ EhjR;MOEM?W]NSEQSQSE 22222
(341) 2222222
(342) 222222
(343) 2222222
(344) 2 O G ;1<= 22
(345) 2222222
(346) 2222222
(347) 222222
Documents relatifs
Certes, une partie de la frontière Est avec l’Iran est globalement l’héritage d’une longue histoire marquant la séparation entre le monde ottoman et le monde iranien,
Dans House of Leaves, chaque voix ou presque a son caractère propre et l’hétérogénéité typographique qui en résulte donne à voir un théâtre de voix : Times pour Zampano,
On y présente d’abord une introduction générale à la radiothérapie, puis on cible plus particulièrement la SBRT et le suivi de marqueurs en temps réel pour en venir finalement
Selon les régions, les divers types sont plus ou moins bien représentés. Sont négligées de la même manière les zones montagneuses de l'Est, les Alpes et le Jura,
Ten microalgal strains indigenous to Quebec were examined for biomass and lipid productivity under different growth modes: photoautotrophic, mixotrophic (light), and
Dans le cas où entre les objets, les types d’énonciation, les concepts, les choix thématiques, on pourrait définir une régularité (un ordre, des corrélations,
Les vaccins anticancéreux ont donné des succès cliniques limités dans le cancer de la prostate. Le vaccin de cellules tumorales GVAX en est un exemple. L'immunosuppression
Au-delà d'importantes différences d'un club à l'autre, les diri¬ geants apprécient le soutien que les ultras apportent à l'équipe et ils acceptent de coopérer avec eux tout