• Aucun résultat trouvé

Analytic Combinatorics of Chord Diagrams

N/A
N/A
Protected

Academic year: 2021

Partager "Analytic Combinatorics of Chord Diagrams"

Copied!
15
0
0

Texte intégral

(1)Analytic Combinatorics of Chord Diagrams Philippe Flajolet, Marc Noy. To cite this version: Philippe Flajolet, Marc Noy. Analytic Combinatorics of Chord Diagrams. [Research Report] RR-3914, INRIA. 2000. �inria-00072739�. HAL Id: inria-00072739 https://hal.inria.fr/inria-00072739 Submitted on 24 May 2006. HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers.. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés..

(2)  

(3) 

(4) 

(5) 

(6)  ! "!# $%&!

(7) '!

(8) (!#

(9) %)

(10) *' . +. ,.-0/2143&56. 7. 8:9. ;<5,.-=380>56?. 8A@. 7. BC8D>FE. LMONQPQNSROR2TVU PXWZY\[]PST_^a`ObcW dfehgi[kj. l m n C bcW dfeoMqp r]r]r. ISSN 0249-6399. ISRN INRIA/RR--3914--FR+ENG. s tcuv bcvwp. apport de recherche. G. 5-IHJ>K-09. ?.

(11)

(12) 

(13)       !"$#%'&( )+*

(14) , -+.0/212/433658791;:=<)>?125A@CBDE:=FHGIJ>LK s M T)u & M T p+NPOTQ OR NSTVPQ[T]S NQe_NSTaP T_^ e_W PQe)OU PWV jCMX []PQNZYAOU T Ld [ Y\T ^\[iPZS [ ] W R R []d\^_^ Thd TkefMOTadfefMOT`RaAbTcCdefN bcW dfefM p r]r rNgdTVd R Wh]S TV i. i j0ZR k)ylV mon=TRpTlhq r R ZRZV^ zV ZR +s tuV|V u{~U=} ^ V hX )RCzVULM €M TR s_TV0v\v ^ hS 6hv MwV hs vZRLx S u^LV ZhR M ZRLS HuV|x  RC)‡ ULMXˆv ƒTMv U hTM Vˆv TR R yV AM V ZT‚ M T)vR yV Tv ƒS ‰V ^ zV TM €X„U hR T)RR TvŠhR„RA^ULMRAULX MX Tv TTv M TVƒV R €R„R STyV|V {

(15) h} R„^fRAZVUL`M†LX R„^ Tv VƒV ZRLS V|{ ‹ZŒCXLU ŽƒT‘ R mH’0khq [9R TMX €R )V u^f^ hS hM hV “M RAULM hR ZM `^ ZV•”. ^fM N R W R Tad T ^ j^fMOT T &T_dfW ^fNS[ ([ NQW ]dfW [ weoMO[]d nY []N ON "p R2[ N ^ ![ i W e NQdfe PQTN N Y\[ N ^*R W NQd TT ^oW OPSN \M PQN &NS^PQW [ d ^fMOT []PQPS[ nN i^fMOd T_TR W dfW &T ^fTad T_d[ _e [ &R [ OT ^ ` \N _T[ ^fMOTPQW d ]T ^e_[ R2[ T ^a` W Tad*[ 2e d [ \N TW P \[ T OW e ^ [ d OPXW []d ^fMOT &[ &T ^ h[ ^fMOT N ^fd N ^fNS[ [ aT dV[ e [ &R [ OT ^ hW Tad [ e d [ \N W PSj ^fNQe e [ ON WZ^f[]d NXe `!efMO[]d NQW ]dfW `W j &R ^f[ ^fNXe T &T_dfW ^fNQ[ ` PSN &N ^ ON ^fd N ^fNQ[. –z—‰™•˜ š;›œ ™ž˜ ~Ÿ€š; ¢¡|£. ¦ T[ M)W NZROT+st^ TˆT_Q P|§T_Q RO[]MOP€U [Te ROTaT‰WhU~`„¤9´;bT]nR b [N ¶^Le)T+Qr“YAdUO^ TThbTR c‰d e Tk[T·TefUOMObd\Ta©T^adf`„©JefMO¨ dhT LEdr ¸g9dar ]st© rT_`«Q [¥P|ªHTaQ ¬Ce ] []doRO[©TNQebTYA­!OU _v¯T)´;R bT®e_bT[T¶tiOU r“v±d\^d° g9bTc‰[

(16) ·T²³b‰®©TTb‰^ b T|r ‡µ´ U dfWhR e TH¶.

(17) $8 ˆ  ) 

(18) %9 % )+*

(19) ,9 % ±%9 Œ ZRk yVV UŒ q ULR®e T_T_df^ e_PSW T d\^fR NQW e_PSdiT R TW V NQ^d T^6VˆTQ ^^ NZNVT Q Y\[]WhN€UR ^fT^6V|TQ {RO[T9MR XOjd T)M&T_Q ^oT)WhR XO^‰PSNS^i^ TJPQTV ^ NXPSWh[]S]NzV dfWHPQM‰N€M&M&NS^fTTVV^ ^OT T e^fd[][ duNz^ ViTVR W d dfT_WHPQNQM WhR T_^)^fd TpHV|x  RM T)MR yX V|{

(20) ˆ¦ ^ VŠe v [T[]M&dƒM+R U[ VPSTWhVR ^fT|T‡OV W]ee ^f[TTRLVROR T)‡[TTUOV d` PQ^oTW V6NSPQM&PQT[T^ M TiTPQR W ^yVžROPZ^“U„UtV6ROS][TdfWhMR„XO^ d T Tˆe ^ [TT M&e R [T[ M&V WhR R [ ^fV T Wh` R T_^f^žTVROT[T^±M+^LX Utd TRO^ [TTMe_XOdu d []TNZV\^ T)T ” zV )M R yV\V\[TR ^iWHU=VƒV\NW^ [TRLRžTaQ TV|{ ¥‘ lZM k Ž p TŒ { q ® [hMOX NZR W ^f[]NSd TiWhR W PSj ^fNzYAOU T `CO^ NQWh]S dfWhM&M T9^ T e_[]du^ TV `“^6T)Q R [hMXOd TM&T)R ^ WTV j“M&R ^f[ ^fNZYAUOT]`

(21) . R ][ N ^ Od O[ Od T T &T ^ T e_d [ N \T &T ^ .  PQ[]N PSN &N ^fT.

(22) 

(23)       !"#$&%' ()*+, -`./212/43365871;:„<)>«125 @ DE:=FoG8IJ>“K -|I#./-102. >~G4365547

(24) G >85~F@ 9-;:<:=FoG 5C12>=7

(25) : DE:=FoGh.?>BA@=B8B=B CD8EGFHI4JKF MLNPORQTS+UWV(UYXGZ[AX\S]NP^R_a`bNPORXcXdLe^RfXZgVhNPQjikLiKlm_RQTVKnhZgVhf S+iklpo qgORihZP_RS=rsiKQTLRQTLRntho;UpiKQTLkNPS

(26) iKLV qGiKQjlYZPqdqdiKuTXvfbQTLUpiK_RLRQTXdSwrsLkiKNPQTS1Lk€kNSPUWQjdVhXvQjZPiKS1lWx8NPy#ORXvXvu{XdV(SsZPNgnKV(Xdz4S]NuTQTSPqdObiKfbuTQTfUpiKQjNLRXdu{V1Lk[\N1€‚S6Vhl|LRih_ZNPL‚OR^RXvfl|iKzYuTXGujZ+i[\iklYQTLRqn}ZPikNPS]OaSPZPQTLRXGXvnKSdUWx8V(y#ZgVhXvf VhXGuTNPSPXGiZPS1ƒ4~8LRLe_^RXGf„RzpVhXGqGZN l qihZPZPikfS]SP^RQTLRu{VhnKSSdx l ihZbNPORXfiKf XdLeNPSiKlvNPORX_RQTS]N]ZPQ†z4^aNPQTiKL‡iKl\L‚^RfzYXGZbiklvqdiKf UYiKLRXdLeNPSbVKLR_‡Le^RfzpXGZbiKl ˆ  

(27)  %  6

(28) ) s!W‚]‰ ThpHq x R []NZR ^yV [TR W e NQdfe PQTiPQWhX TaPST^d‚Š pWŠ(‹(‹h‹(oŠ pHx WhR„^ Y []NZR ^fMOT):M NZRJ^ NZV Y\[]N€R ^ R W NSduVžX j x eoMO[]du^LV|{s MOT d TV UOPS^fN€R„She_[TRL†LSTUOdfW ^fNS[TR NzV*e_W PQPST^ WŒŽYeG‘‘e’”“h•‚G“e– ´2V\T_T UN€SL{LdH¶y{0¨ TV\Nz^ TVN ^yVNZR ^fd NZR„V\NQee_[TM+X N€R W ^f[]d NXW P N€R ^fTad TV ^a` ^fMOTiTRAUL& V ^fdƒU [Ie ^uOUe PXd WTTVƒ V V\NQN€eaqR W Pe_[hd &MTM V RLUOT_OUPSdf^ ^fW T_Nz^fVd_NQ[h^fV R M e WZNQ[TT)^ v R ^feoe_MOMOT™Tˆ[]˜ due RA^t`«UL©KM^ š NX`XWh[ ]ST_dddfWH^f[TMwMOv~T+V ^ NXVNzWhV^uS U„d df^T_WhPQj TMw]— [TVžWH!v R sNZ^RRT_ —^fd [W T d [^fNXWhMO^fRM Th^yT_efV džM NZO† [ R#T_duPz^„‰C^LV±OR V [ `O^ ^PQ[N{]‰^fR MOT [ T_^f^n[]MOd\e_T j›d [TWh˜ VƒRdoV ¬kW š;NZPSj“{V\V W‰NzV ®[TW vW^oO^ W WPXWH^oRW RAULMX T_d){ r R W+\V T_d NQTV [T2v R V W [TR !v Tadu^fVMOT s![heoMOU []efMdu^LW nVdu^ WhR„V ^u^U„^v [TNQTUL&^ R„^ ^fMO^fTnMOTROd e [T[]OX d PQd T)T0M \V R2[T[hvR=e_^ [hN€R„U„SwR ^f S N€R„TORST_^ dfWNXWH^f]S NZRLdfWhS‰Mwv ULV R W]e e_^fe NS[T[]qRdu^ N€NZRRLVS ^fMO^f[T ^fMOT`RAULMX Tadn[Tv e_d [ Vƒ\V N€RLS n s s v []WhWhdƒhVVM dNZ&MT[h— vRONzW)\VPQNQN e_^fe_TN [T^ ^ R NZ^fNZ"R RžN€RC^fUO˜ MOdoTTb ^` s v kd df[]r W]d` e ‰ ^fZd NQpk[T[Tš2v Rœ{ s˜ d[TceU š2eo{M [W du^ d T)WhM)R„W ^fd‰ )M WhXOWTPQ^ T T&T)T)‡ ‡ W]ROe PS^_NXe v NS[]^VdƒMPXW UO^fT_PXW)d`XNZRj ^fn] TadƒNQM‰[]duVnO^ Wh[TRv ^f˜ M dT+e‚š2X){ W s PSPQM[ ^9NZVˆRAv UL[]MdƒM+X U T_duPQW V. 1. €STU ‰dT

(29) [ eoMO[]du^^ NQWhS]dfWhM snN ^fMe&e_[TM R2[hR T)R ^yV|{ X TJV\s!T_[hR U W efdfM W W ^fTdu^^ W v d PZV\[T[&M e [T^fR„MOV\T Nz^ d TaTdM&T^ŸW NZROŒdeNZRL mS" =¡defŒ(MO¢s[]¡d‘9du^L^OVNQWhX S]j(dfWhW M‰PSV NZRO`OTh^fM{µW [^ NZV d `„Tk^e|UONXWhd S]d TdfRWHMwe T Vžd snT_PXMOW T_^fd NS[TTR RO[v []V\d T ^^fMO[hTtv!eoRAMOUL[]Mdu^LX V Tad eaWH[TR v UN Od T.

(30) TTTV “RLRLM RR ^ ^J^V UL)HX‡ S ^ hhMwSVƒV V

(31) hTsM R TvVŠv hR U„R„uZU^‰V9XRCtULM)° ‡ X )ZR„)R { V ˜ rTdv·kR š;s {

(32) ZV [ ^ )†LV uR _U„^ V hM TM ZM RATULR M ° R ZRZR HhtR=R ^ ^ Tvv0h—S^ HHSM hTMw˜ VdHVªK š=vM hU„HR„‡ u^€^ M €R„hRS `RAULZMV X Tv s hM T)‡R hRM yZV R TV X M hXv ±M‰s V hR„^ s s hh— R `R “‚ \v TULR„u^ ^ |^ ‡ hS hMwV )v R u^V|ZRL{ S r R RCV (UL— MhXM CX TTuv V V\s VƒV V ZhRLMS s V €^ R uV|°  T— ZRLžS TRAR UL€M Md X )s_Tv V_vTM ZM TR )R ys_V V V ±TR„V S €^ ‚ T—ZRLTStR8v ^ X zV €X„M ƒU S “^ V TZR„† V|T{ M TTR R Tv R +† huR„V ^zVƒ¢V s TR ^ ZV `RAZU„XLM+U X TR TTv v TM hM hR )R JyV|dT{ { r R } zV TfV †LhR„v ^ )`‡ RCULMv X ƒM+U Tv TV v VƒV €R„STVJ=M s hV R Hs R=^ €Rf° ™— TR HR hv ZR zV S ^ ZV s_ZXLV U TV )R R TZMV LhTVU R“M Tv hR hv ˆOV M hTTU„MR„Vƒ^ V)ZR RLhyRStV { STv R hR JM †“ZRL‡ S €R ^ v ULR u^ )T€R{ R{ V hXzV Z€V R ZRLS S zV V V U R ZV ThRR V´ O Š9¶yZ† {U hRTRR„VLs V TZV v zVˆTXM+TX V H€R R ^ TRµS+`)M R V ƒU

(33) “uM^LU V V “T^LX V T€v R “ehT 8R„V “ “V M ¢ ’MŒ ŒG€Re– V’wV  8C€“‚MM ¢seX 1’”Œ V fh˜ SR„c )

(34) ^8R do^ ©Kš;{ {—€RLS uV ZM`v ULs R ‰†LTs_R„R„V|^ V { sR hRLZhV+” R s Vƒ“V ‚‰ €R„^8S hR R ThR“VX ” TtVƒR„V VZO RLZ^

(35) S V TZ^RRRL— †LTSTV {U— ^µTs TULR„R V TR €S X — V— TvTU„V V )R TRR—V )u‡ U Tv T“R S hZV+R hUYA{9U } wuV#^ ˜ ·kTš V 0Zs R R hV s +^hU„S €RLhS‰U s ^ T— ƒS R 9V d’ K¡ V|{ Tv µ^ hS HM s X RCULMX Tv u^„V|{ ¨ V ZS u^LV €R w^ hS HM ZR uV ZR uU ƒX ZZR RLS { €R yV ZvR VƒV =s hR TVƒV ULM _R  µ 9

(36)  r v0s ThPQT ^ J2X T ^fMOT`RAULMX T_dn[Tv W PQPW^ NXWh S dfWhMwV [Tv\V N€a‚ Tˆx `O^fMOT)R NS^nNZV±s T_PQP ‰COR [s\R ^fM W ^ "d ob o©  ´ pHx dH¶ ´p pox~x ¶ ‹ !­ T ^ ?´ A¶ 2X T ^fMOT e_[]d d T\V R [TR„^ NZRLS []du^ NZR W d\j8]S T)OR TadfWZ^fNZRLSJv ULR e ^fNQ[hR h OiU

(37) V!­ TM ^ W(— NZRLS&X dfT WT^ ^fNZMOU„TV[TRCvULMe [TX RRT_— d)T_dƒ[hS]v TR e [Te TRLOR rCTk{ e ^fT^ ^ NQWh]S dfWhMwV { [Tgiv9[ \V NZ^f_‚ T T^fFx M W Wh^R„s #^ T PST_[]^ R T_wdfW ´ ^f T ¶ MOTad Tns N ^fMc[]duX^ TNZR W ^fM d\j T e_[]d d T\V R [TR„^ NZRLS `i O U6{ s MOTˆX WT\V NXehd T_PXW ^fNS[TR NZV ?´ A¶ "d ‰´ ?´ A¶ ¶dŠ ´•dH¶ XWhW R„dƒj#XO^ NSe ^f[TNdf^)RW ^od\NzW j‰V NZOR ^RON€NXd R„WH[KSS]— dfTWh— ^ MwT_d\WTV^fV‰T|M&‡¯v Wa[]djPQPS[XNZs_)V TV|e_NZ{ W R„PSV\PQr TaTKR d\(^ ^fTWµ^f^«M ^{ T NXr WHv G]S K^fdf‚MOWh¢TM dŒd`[e–[ ^fMO^mT M eWT 8R V ¡1W   d\^f¢4eo{NXe|MOOU []r PX#R duW ^Ld)^fV MO` e_T^f[hM R„NZT)ORR R&Ta^fTae NSdg^6^f —T^ #^W T)PZVw†Le R[T^ &MTT)V†„R p OR [TTOR ^ V\TR R X W]^ je NZ^ RL^fT_S MO^fV|T_T {dƒ&MTs ^LNZMA SOR U„TTVV ^ `` «s ´ M NZ¶ V]S N{— d TV W d Tke|OU du\V N{— ?T`´ A^ ¶ T_^fT_dƒ&M NZd R W ^fNS‰[TR ´ [T?v ´ Aw¶ ´ o¶ `o¶ ` ns MOT_d T ^fMOT ^fT_dƒM d d T_ROd T\V T)R ^yiV ^fMOT T)&M R ^jf^ NXWH]S dfWhM{ ‰´ A¶ e #p ª #poeA¬ pT¬T b r bh]¬ pT]b p ©TchbT¬T©Tc (‹ !­ T ^\OR [s +2X T ^fMOTˆRAULMX Tadn[Tv0O^ NQWh]S dfWhM‰nV [hv\V NZ_‚ T`x WhR„^ T)‡ W]e ^fP j e [T&M R [TOR T)R ^yV ` WhR„^ PQT ^ ?´ YŠ ˆ¶ e_[ OTae ^fT NXW ]dfW W [ j ^fT_N ^^fM T W Tn^fN &T ^fT_N W &v T_d T_^ ^ [ )W W j &R ^f[ ^fNQe T ROd T \NQ[ [ d ^fM N T_d T T T W e [ &R [ OT ^ N "W NXW ]dfW W W )W N )W P e_[ OTae ^fT NQW ]dfW ` W WZ^ dfW PT ^fT \NQ[ N ^f[ ^ j ^fMOT T &T_dfW ^fNQ[ [ NXW ]dfW W]e_e_[]d N ^f[ ^fMOT Tadn[ e_[ &R [ OT ^ ` W&ROd [ OPST []d nMONQeoM TVM W ]T [ ^ [ T ROPQNXe NS^d T T_d T e T ^fM N R W R T_d T d T_T W &N OT ^fMOT \T R d [ PST W T W W P j _T efMO[]d NQW ]dfW W eae []d N q^f[ \T T_dfW P W \NXeR W dfW &T ^fT_d !^fMOT T_d[ e [ &R [ OT ^ ` ^fMOT \N aT[ ^fM TPXW d T ^*e [ &R [ OT ^a`]W ^fM T T_di[ e d [ \N ` Tad N N PQN &NS^iPXW []dn^fMOT e []d d T \R [ N N ^fd N ^fNS[ U []d ^fMOT Od ^i^ [ R W dfW &T ^fTad T \MO[ N Tae ^fNS[ ^fM WZ^i^fMOT PSN &N ^ PXW iW d T ]N T j W [ N eaWZ^fNQ[ [ W L []N \[ ON ^fd N ^fNQ[ #[ nR W dfW &T ^fTad T W P \[ T W]e ^ []d PQW []d ^fM T &TaW W (^fMOT W d NXW e T [ ^fM T 2T_d [ e_[ R2[ T ^ ^fMOT e_W \T [ ^fMOT T_d [ *e d [ \N ` T \MO[ IN Tae ^fNS[ p ^fM W ^ ^fM T N ^fd N ^fNQ[ #N &W j &R ^f[ ^fNXe_W PSPSj W \NXW s MOT )W N ^f[ [ P N #T ^oW OPQN \MON "^fMON d T OPS^&N W N ^fT dfW P d T_ROd T \T ^oW ^fNQ[ q[ ^fMOT e []d d T \R [ N T OT_dfW ^fN e ^fNS[ is MON N ^fT ]dfW P!d TaROd T \T ^oW ^fNS[ W P \[)W PQPS[ ^fMOT e [ &R ^oW ^fNQ[ [ ^fMOT &[ &T ^ [ W j T []d Tad  OdVW W PSj \N hN W \T "[ ]T OTadfW P &T_^fMO[ [ ` &U NQd ^ T \R2Tae N eaWZ^fNQ[ [ e_[ N W ^f[]d NXW P ^fd e ^ Od T ^fM W ^ ^fdfW \PQW ^fTN ^f[ j []PQNQe ]T OTadfW ^fN e ^fNS[ iU 2s MOT T W R ROP j W W PSj ^fNQe T_^fMO[ ^f[ [ ^oW N W j &R ^f[ ^fNQe T ^fN )W ^fT W T_d N T PQN NS^iPXW s M N [ d eaW T e_[ \N OT_d T W W e [ ^fTad R W d\^ ^f[ WR d T NS[ R W R Tad [ ^fMOT W ^fMO[]d ` nMOTad T T W W PSj _T O[ e d [ \N e_[ OdfW ^fNS[ i[ ^fMOT T_d\^fNXe T n[ W e [ T R2[ PSj ][ MOTad TaW N q^fM T [ e d [ \N eaW \T&^fM T iU VN [ P T T_d T W P ]T OdfW NQe `^fMOT)ROd T \T ^ \NS^ W ^fNS[ N ONS^fT N T_d T ^ W T W d T TaW PQN nN ^fM N Tad T ^ \T_d NQT s M d [ M [ O^&^fMOTR W R Tad ^fMOT [ W NXW ]dfW nNQPSP 2T ^fM T T_d)[ efM [ d j \PSN ]M ^fPSj R2T_d\^ Od ON )^fMOT R []N ^ nN OTae_T W d\j]` T e_W qW &T ^fM W ^ O[&^fM d T_T efMO[]d N W NXW ]dfW N ^fT_d \Tke ^ N qW R []N ^ . . . .  . .

(38). . . .   . . . . "!. . '. . . . $#&%. (. (. . . . ./(. 0. . . )+*,(-'. 21. 3. 54. . . 6. .7*,('. . . . . 1. . .7(. 0. . (. (. . 86./. 1. .. 90:-.. ;0<.. 4. 1. . ==>-.. ==?-.. DFE G. ==@A.. . IH. . KJ. . FE G;. !. p. . J. G. =0B-.7C. .

(39) XT. V hR=^ N€R„S‰XON{— W d NXWZ^fTOiUž{„[VžsnN ^fMTY U WZ^fNQ[TR ´•dH¶sTVM Wh— T «´ WŠ ˆ¶ "d ‰´ ?´ YŠ ˆ¶ ¶dŠ ´ p ¶ sn‰MO´ AT_d¶T s^fT`MOTS]T v ^ W]e ^f[]d ³&M W d‰“V ^fMOT e_[TM R2[hR T)R ^Ve_[TR ^oW N€OR NZRLS™— T_d\^fT)‡ dT{VU d [TM ^fMOT;‰CRO[s\RcT|‡ R WhR„V\NQ[TRc[Tv ?´ YŠ ˆ¶ "d ´ p ¶ ´4e · © ¶ ´ p ª bT· (pT¬ de ¶ r R []du^ Tad ^f[&T|‡ ROd TVƒ V [TOU d† duV ^nd TV OU P ^\s T`O^ T)†LOR Th^fM TˆRAULMX TaduV  JX jJM&TaWhR„V[Tv d ´;b ¶ «´ ¶  ´ A¶  ‹  ŒC‘ m Œ  ¡

(40) ¢ d¡¢ ŽY¡  Y– d¡; ŒGe– me 8¡ m¢ ’w  “d“e =‘Re– ‘e’”“h•‚G“e–'  d’ K¡\x   ’ e  d ce 8¡ŽY“ Ld  "!#%$ ´ d dH¶ ´•d '&C´•dH¶ƒ¶ )x (+*?‹ ,G  ‚¢ ŽY¡1. -ceG‘ / d 0 ’ ‘e’ 1¢ 1’  Y¢s¡d‘ 2’ 1‚¡*4“ 3 e’ (e  5“ -   m“eG“e–/¡(¢s¡1 67  ’w8’ :9ŽY¡– ¡d“e  “e 8‘ ¢ ŽY¡ ;e“e1’”“e 8ŒG¡*  ¢ ŽY¡*‘e’ 1¢ 1’ < p¢ ’Me   = œ“eG¡ @? $  7? $ p4Š > A @ ? p 7? $ ¯´4eTx dH¶  7? $ pHx ´ pHx dH¶  > A daŠ B -AŽY¡1G¡¢ ŽY¡  Y– d¡  œ“eG¡;‘RD¡ CA 8¡d‘ ’w  FE  3cdK  ´ N ¶[^ NXWH]S dfWhM NZV V W Nz^ ^f[ X THGƒ&M [hR [ PQNS^fMONQeJI NZv¢ ´•dH¶ N ^ e [TR„\V NzV ^yV \V []PQT_PSj [Tiv ^fM T e [TRLOR Tke ^fT^ e [T& VN€R„U V Mef^oM#WhR R NZ[TV\e_OR []T T)PX`OWZR ^f^f^ M T^fT`^(M ^ WTNX^^“WhS] Se_Tdf[hVWhR M ^o´MW LmNZN€Š<R„R N|V`¶ UdtWhNZSLR„´ {e_^ W Vd PQ´PPSNzOKTV ŠR^ Q“W^f¶o&MMO`TV[T[TROORd [TJ[][ PSNSRO^i^fT(M?e —]¶y[TTa{ &M d R M [TWhOR VSTLHR ^| ¶TUWhR„OV^ TW[Tv QXNz\V TU[ PXW Nw^fTRO^ []dYT^“OV]S TTWV KLH ´ p TU¶6v []NVd TWWhR Q j ^¢´4sv [][ d s MOT ˆi O U[Tv0&M [hR [ PQNS^fM„V NzV e_PSTkW d PSj Z$´ ¶ \[ ´•d ¶ ] Š \V N€R e_T_ WhV± s T_PQs PTVWhnV e_WhWhR Xv ^fTaW]d e_e_^f[TMOMTh&M d [ [“[ O^ ^nW e_^f[TThM WHRR2jt[hR \V T)TR YA^OU { T)Rs e MOT T)qR[hv e NzPQ\V Ta[]W PQdW P ^fj T` ^ T^“]S TV NZR TaW]eoM0G PST7S I [hv ^fMOT d [ [ ^e [T&M R [TOR T)R ^ Z ^[ pHx d p ] #%$ ^[ pHx p b ] # ^[ pHx b fe ] # 6‹ [ e_e_[]du^ N€R„S ^f[t° ^fTaN€qR WHR=^ vv— T_d T_^ ^;˜ dHªKš s ThM Wh— T "!_#`$ '&C´•dH¶dŠ WHR=^t s T+^ T^LU e T Z A !_#`$ [ d d d p d b d ] A 8‹ s MAU„V `^fMOT ROd [TX WhOX NSPQNS^j^fM W ^ WdfWhR„^ [TM ^ NXWh]S dfWHM NZV W& M [TOR []PSNS^fM ^fTR„^LVV ^f[ ]d `*WTV+x (a*w`*Wd TV OU PS^ W PQd TaWT^ j [hX=V\T_dg— T^ N€Rœ˜ dHªKš2{[V j“M&R ^f[ ^fNXe_W PSPSj]`ON ^_V U b)e TV^f[&WhR W P j“‚_T ^fMOTˆRAULMX T_dn[Tv e [TM&R [TROT)R ^yV N€RW ^fMOT e []d d T \R2[. . . J. . .. J. (. 0. . KJ. 21. J. . (. . . KJ. . -.. J. .. J. .. J. 1 2. 1.. =J. .. J. 1.. J. : 2. .. :. J. .. J. 1A.. ;J. :. .. . . . . . . ). H. . '. !. . . 3. .  . ;. )DH. . A. .. H. ; . .. . . . . . . .  . . .. . . . -3. . . . . .  . 1. ). . 1. . ;. .. .. . . . . .  . . 1. . . . 8(. . . 8(. . 1. . .. (. . .. (. 1. .. (. (-. . .. . . .. .. .. =. b. . C. 9. . &:. .7. =J. <. 2. <. .. C.

(41) M&NZRµ[TsnRO[]M PQNQN eo^fMM{^fMOs T)MOT±d [ RA[ U„^ M+e X2[TT_M&dR [h[Tv=ROM&T)R[T^RO[]M PQWTN ^fV+M„VV\NZsn‚_TwNS^fxM e [TM&ER d [T`ROV\T)NZR R ^ye_VT)NzVT(—]^fTaMOd\Tj"V Wh[ M^fMOTnTad WTV e ^f[TMOM&T±R RA[TULROMT)R X ^ T_dNZV [Tv=WhRM&[hNzV\R [ [ PXPQW NS^f^fTM„^ V T^“]S Th{¨±U ^^fMONz V NZV pox d # ? $ [ d ] A ! #`$ ´ dH¶ ‹ ´ NQN ¶ r R []du^ T_d^f[ e [T&M RLU ^fTYJ hWhR„^ YJ _sT9ROT_T^)^f[ T(— W PZU W ^fT ?´ YŠ ˆ¶WhR„^ ?´ YŠ ˆ¶ W ^ "dt´2V\T_T™˜ do©kš ¶y{[ e_e []du^ NZRLS ^f[t° ^fT_NZRœ˜ do·kš ^fMOTˆRAU„M+X2T_duV V W ^fNzV vXj ^fMO TVd Tae|U d d T)R e_Thd  T_ PXW ^fNS[TR )H. . H. I. (. .. H. G. . H. H. . J. . . . . . 1. . . KJ. . . KJ. (-. 4´ x dH¶ #%$

(42) #

(43) Š $ ¥d‚Š

(44)  $ v´2[]V\TaPSPQT [sn˜ dTN€R„dšSwv v [][]d dƒM)WW V\P NZM ^ NR PSTaTaddVT)ROR ^fd NX[ W [TP vT[TYAvU ^fW MO^fNQNz[hVhR d  TV UOPS^|¶iWhR„^c^fM NZVhNZR"^uUOdƒRN€M&ROPQNQTVh^fM W ^h^fMOTtOiU V W ^fNZV †OTV ^fM T Q ‰´ A¶ w´ ¶ ‰´ A¶ W‹ ´4eC¶ p w´ ¶ Q ¦hN Tad T)R ^fNXW ^fN€R„S´ p ¶snNS^fM d T\V R2Tae ^^f[ `„U„\V NZRLS8´4eA¶ WhR„^ TaPSNZ&M N€R W ^fNZRLS w´ ¶Šs T`]S T ^  ?´ YŠ ˆ¶  d [ «´ ¶ d p ‹   «´ ¶ ]  $ ° N€M&NQPQW d PSj]` [TROTh[TX ^oW NZR„V  «´ WŠ ˆ¶  ´ «´ ¶ do¶ ´ ?´ A¶ ´•d b A¶ ?´ A¶ p ¶ ‹   ?´ A¶  $ v‡ R WhR„^ NZRL& S ^fMOTVPQWTV ^^¢s [ \V VT_d [TNQTv V±s TˆWhR„]S T^ ^^fMOT`W d v Tn[]dƒ^fM[OU X PXTiWTV\T|‡ V ^oR W Tk^fe T^f^JT&^ v []NZd R/> — NST)sWhR„[h^ v B R W {d\^ˆ´ N o¶ `CXLU ^^fMOT_j e_WhRLRO[ ^ s M TiWTV j“M RO^f[ ^fNXe ]— W P€OU T X2eaWhT9R STUX W TdfvWh[TR UL^fR„T_T"^ ^ WTY•V9U=Vv []^±PQvPSd[[Ts_MAV´2R \V []TaN€T R ^¢> ˜ snp `NZV\RTh{ e_pT[TcHBRRe — `T_dƒT|S]‡«T){R e_dT ·kš

(45) ^f[v [ ^fdhM WtTi\VLNZ[]&M NZVƒNSPXV\W [Td RRO^ d Nz[TV OX^fd PQT)N€XLMtUO¶y^f{ NS[TrRv

(46) {s tiT [PQsT ^T—  Tad_` ^fMOT_j e_Wh2R ` ^fM T)Rv d [TM(´;b ¶Š s ThM Wh— T #`$  [ x [ pHx #`$ Š  "d ] p ] $ M&WhR„[]^8d TVv d RO[Td M Tke Nz^fV\MOTVNzV TV NS^^fNZM&v [ WPQPQ^f[T s_iV TaWT\V NQP j^fM W ^ d d w´4xb #`$ ¶yh{ s MOT]— W PZOU TV  $ $d WHR=^  phbw]S NT— T W  "d x eTx w´4x # ¶ snM NQeoMNz V TOR [TUL]S Mv []dn[TOU dRLOU d R [ \V TV|{ r R„O^ T_T^ `Ls TVM Wh— T > 7? $  7? $ pHx x d d  ´4x #%$ ¶ A pW‹ WhR„^\V NZ& M NSPXW d P jv []d ^fMOTb]— W d NXWhR e TT{ ‘ l Œ  r ^ NZV We)OU d NS[ \V NS^j"^fM W ^V^fMOT V Wh& M T \V VMON€WTv ^fV Tj“^ &M RL^f[ [ Nz^fVƒNQ\V ea[TW R PSPSj PXW:s^fMOT`W RO^ R NzV Ta^fW d duN€X„VV U N€^fR NS[T)M R WH[TR v j"^fMOGuThV ULd 2X[ e_[ d^\N ^f^ NXTe_ SW dP ITaTh\V T[h^ v e_[TR„V ^fdƒU e ^fNQ[TR„V˜ c `« ® M{6cKPš K„v []d NZR„V ^oWhR e_T NS^Nz W&dfWhR„^ [TM ®Waj PST_j ^fd T_Th{ ^sONQT`WhS]]SbcdfT_Wh^[ M‰d T V6e_snWhNSR^fM X T)Ve W [TNzM&q^ R Wh[TX RO[TT)U R ^ ^yV|^f{MOT+s MORATULRM`OX W TaR diRO[hP j v NZRLe [TS &M ^fMOR T9[TOR ­!T)WhR S]^ydfV|WH{R„­ S T_Ti^ NZRR— CT_´ duV\¶ NQ[TR ˜ ^fMOT_š[]?d ´ TYM Š ˆ^f¶±[ X TYATVU ^fW MO^fTNQ[hiO RfUK´ pT[h¶ov ` C´ ¶ d ˜ #%$ š w´ L´•d !¶ ¶ ‹ e . (. . !. (. (-. 8(. . (. . . (. ==(. . . 1. ./(. . . . . . J. . . (. KJ. . . J. . J. . .. . . 1. . . KJ. . . . . 1. . . . .. . 0. . . . 1. . . 1. 1 . . . . 1. 1. 0. . 0. . . !. G. H. G. =. 0. . H. .. . . .. .. 1. &:. 1. . .. . ).. . . .. . .. 6 G. H.  G. . G. . H. (. . .. 21. G. . -. J. G. . . KJ. . . . .

(47) ´°. V±v d ƒMU. TR [Tv6­ WhS dfWhRLS]T)N€RR— TaduV\NS[TR{ ¶#gi[sV` W ROROPSj { K— zVS {— TVƒV V hV Tv w´ L´•d ¶ ¶ w´ 0´ p ¶ƒ¶  d 

(48)  w

(49) ´ ¶

(50)

(51) ´ p ¶

(52) ‹

(53)  s MAU„V `LsnMOT)R dfW NzV\N€RLS ^fMONZ V T)‡ R d TVƒV\NQ[hR ^f[ ^fMOT ” ^fM R [sT_dWhR„^tU R [TR T)‡ ^fdfW]e ^fN€RLS e [ T b)e_NSTR ^yV[hv #`$ ` [hR Tˆ†LR„^„V ^fM W ^ “RŒŽ C´ ¶ ’ “ m  =e–*’”“ ’w  w´ ¶“e 8‘ ’ ¢ ‘R¡1’2;‚“‚¢ ’2;‚¡ U []dNZR„V ^oWhR e T]`LsTVM Wh— T $ ´´ ¶¶ wp ´ w ¶ ´ ¶ 2´ A¶ƒ¶ ´ ¶ w´ ¶ ;´ ¶ p w´ ¶  ;´ ¶ e w´ ¶ 2´ ¶ rV RqU ef[ M ^fM ^fMT_dW ^ s []du^LV `«v []d TaW]eoM ^fMOT_d T NZV W)R []P j“OR [T&M NQW P

(54) C´ eŠ $ Š Šh‹(‹h‹ ¶ˆ´ W \V []d\^i[hv ¨ T_PQPR2[ PSj“OR [T&M NQW P ¶ C´ A¶  C´ bŠ  Š  bŠh‹(‹(‹ ¶dŠ snMOT_d T    {  nLm  Œ k)l8p ‘ 

(55) WŒ pTl Œ ’ p ‘   ‘ W!Œ  l  s M T \V Tae [TR„^ R W dfWh&M T ^fTadˆs T WhR W P j“_‚ T)N€R ^fMONzV`\V Tke ^fNQ[hR NZhV ^fMOT MV\N€‚a[TT OR [][TPQvN ^f^fM=MOV|T { PQW dƒS]TV ^ e_[hM&R [TROTR ^VN€RW dfWhR„^ [TM^ NXWhS]dfWHM{ s MOT&WhR„V•sTadVe_[hM&TV WhS W N€RµX j"e [TR„V\Nz^ T_d NZRLS  ŒC‘ m Œ #" ¡%¢ $ d¡b¢ ŽY¡ d’ h¡  “e”•R¡ 1¢vŒde m 8¡GŒ(¢s¡d‘ Œde– me 8¡  ¢’  ‡“G“e 8‘Re– ‘e’M“h•‚G“e–   d’ K¡žx  96ŽY¡   S&$  x d '&C´•dH¶dŠ 'L)(@*$  ¥d &C´•dH¶dŠ “e =‘ e;“e  C,+R¡d‘  d e =¡ŽY“ Ldx -$  "!_#`$ d ´•d &C´•dH¶ƒ¶ Vx (+*?‹ ,G  ‚¢ ŽY¡1. -ceG‘ / x -$ ’ ‘e’ 1¢ 1’  Y¢s¡d‘ 2’ 1‚¡*“ 3 e’ e  5“ -   m“eG“e–/¡¢s¡ 67 r V3cU db)Ks  e TMO+ V TJ[^fV [)VWhj“M&Wh&M R T W R PWh^fjL[ R \V ^fW ThNXPe_jL^fW MOV\PSNzPST+Vj]`\V WTN€NSa‚V ^`TVN€V R [hU !v b)^f^fMOe_MOT TTViV ROd ^fd[ [[ [ [T^ WhvR e [h[TW vn&MPSjLs R\V T M[TORT_^f[]MOT)dRT&T)^MPQ{ W dƒ]SdTV\V MO^V[e_s_[TVM ^fR2M [hW R ^ T)R ^f^VMOT NZR RAULWtMM X [TTaOR d [][TPQN v^fM M&{ [TRORf[]PSv NSW]^fM„e ^aV `[TNS^ v \V N€a‚ Tˆx n s NS^fM d [ [ ^ne_[TM R2[hR T)R ^ [Tv0\V NZ_‚ T`x NZV]S NT— T)RX j pox d d‹ Z ! % # $ # [ ] A s MONZV R d [h— T V ^fM W ^9x &M NZRAU„V ^fMOT\V N€a‚ T [Tv ^fMOT d [ [ ^ e [T&M R [TOR TR ^ [T*v W)dfWhR„^ [TM &M [TOR []PSNS^fM NziV WhV j“&M R ^f[ ^fN€” e_W PSPSj)L[]NzVƒV\[hR~´•do¶y{[VžM [TRO[]PQN ^fM=VWTV j“M&R ^f[ ^fNQeaW PSPSj T|‡ M WhU„V ^W PQPe_WTV\TV ` ^fMONZVTV ^oWHX PSNzV\MOTV^fMOThWhR W PS[TS][TU„V ROd []R T_d\^fNQTVv [ ddfWHR=^ [TM$^ NXWH]S dfWhMwV|{ s MONzV d [ [ ^e_[h& ROd [TX WhOX NSPQNS^j d &C´•doo¶ `=\V [ ^fM WZ^ s T W d T`^ [TOR TT{ M R [TOR TR ^NZV [TXR— NS[TU„\V PSj ^fM TnPQW dƒ]S TV ^e_[h&M R [TOR TR ^Šns N ^fM ‘ l Œ  i ŒG¡Ge‘h•4– ¡ mRe  8-A[ ¡’  mPQ¢ POŽ ¢ ^f “RMO¢ ‘RNZŽYVŠ‘e¡’]S ¢ ŒGNT’M—eeT–  8V “mWVe 8RO¡d  8 mTa/e_¢cNZ\V¢D -cT  RO6<*d ’ [T(¢ X  ŽYWh“‚“‚OX ¢A¢sNS¡dPQ’ ‘NzV ^f¡d“ NQ‘hen–/•RRO¡  NXde ¢^u¡1OU   /d W¢sTn¡G1¡ [T’wv W•Wh¢ ŽYdf“ ¡WhR„‘R“ee^ s–;[T•RM$’¡  81O^“e¢c 8NQŒdWhŒGe]S ¡– dfWhGm¡MJe 8“‚ ¢ ¡’”,d  e¢v¢c  Œd“ee 8  ´ r‘ dR ’ 1“ [ ¢ ^f¡ MO - Ta d±¢’ ŽY(s¡[]“‚GduK^L¢s¡d‚V ‘ ¢` ^fMOT WTVƒ\V [ e NXW ^fT^ ^fd TaT NZR ^fMOT ^fd TaTJ^ Tke [T& M R [ \V N ^fNQ[TR NZV [Tnv MOT_NZ]S M ^ TYAU W P^f[pns N ^fMMON€]S MROd [TX WhOX NQPSNS^jT{ ¶ ® [hR=\V NZ^ TadfW ^fNS[TR [Tv  Z/.C´ ¶ ‰´ „´•d A¶ ¶dŠ ^fMOT ˆi ¢ ŽY¡1G¡*O “eGU ¡[Twv´•M dH¶b[TOR’ [] PQN “‚^fM=¢s¡GV‘ ns ¡dMO‘hTa•Rd¡ T_/cOR “ [ PST(S 5 WM  8Wh‘ VŠ&M’  Ÿ[]‘ed Tn’ 0^f¡1M dWh¡1R  ¢ [TOR ¡sT• Nz\V [] PQW ¢ ^fŽYT¡&^ GTK^“‚]S ¢}T Œd`“e\V – MOm[s_e 8V ¡^f  M ¢FW  ^ “ –/ 1¢ / Wd¡  T^ #^f[d Tke [ T_d We_PQW \NXe_W PeaW \T)[ W ROROPQNXe_W ^fNS[ s!Waj PS[]d []d OPQW ^f[ s MON N T . . 6.. (. (. (. . -.. 21 8(. ./. .. . . . !. 4$. %. .. . G. H.  G. . . . 8(. . . . 8=(. . 1. . :. . . 3. . I(. . . . . ==(. . . 2(. . 21C(. . 5.. ==1C(. .  G. 21C(. G.  G. . . G. (. . .. =%. 9=1C(. 0(. . 2(. . 21. 1. =1 (. 8. . . . A. . . . H. . I. 63. ..  . A. . .. ;. . A). H. . A. .. H'. ;. . . . . . . . -3. H. . FE G. . . 8(. H. . G. . . H'. H. . $. 3. 3.  . . . . . . ;. . . . . . 63. 8(. . .. . 1. . . . . . . . . . .  . ©. . 0. 63. ;. . .

(56)  

(57) ~0 * ­!^ONQT Wh^S]dfµWhM‰^ TVhRO[T[ vž^fT V\N€^f‚aMOTT‰xRA{ U„UM+[]X2dVT_Wd [h^ v NXWHefS]M df[ WhduM ^ NZe_Rd [T VƒV\NZ`RLS ^fMOVVT N€R R W W dfWheoM&MO[]T du^f^µT_d^OcNQWhS]PQNSdfTWhVM X `T_^¢WhsR„T_^T)RPST_^r  WhµR„^fX T x´4^fx MOTwV\T_dH^¶  [hpCv{W [ PQP d T) M W d ‰ WhOX PST™¡ +R“RŒ(¢ e14– “ s WTV\^ NzV e [K— T_d T^X js[TU eoM W du^WhR„^J] NS[]du^OWhR`=R WhM&T_PSj  ´ T¶Š   ´•d d T¶ ´ dH¶   #%$  [ x pHx ] ‹ ´;© ¶. 

(58)  # ^S]O UN{T)— S]d T)[hd R T_M T`[T^fxOR MO´4PSTjKx e ^f[TMOMdHT¶ OX  WhNZpARR {WW ^fPs j[ MO^fd NXNXT`e8W Pv []v [][]dƒd dƒMNZM S UONZRPXW[Tv[T´;!v ©  ^f¶wM NZTVRR^f—M RO[]W d PT[T^ — OX TNSPQVn^T)M MOMTa`=U„Whs — V ^j T2X‰AeaWHRT"R [W(es T_PQR2^fPXWZM[ ^fPSW j“NQ^[TOR R„ [TV\&M V\ ´ NQ[&TW ¶ P ^f`9MNZV WOR W&^n[]d NSR ^n[]TNZ—P V\j“T)ROv R W [Td\M&^fMv dNQWW [T^PM NZR[TWXR´•— dHsnNQ¶ [TNS^fU„M V d Tb  ´ pHx ¯dH¶y){ s MOTwM [T&M T)R ^yhV [Tv ^fMOT ^ NZV ^fd NZXLU ^fNQ[TR W d T‰]S N{]— TRµX jc^fMOT* — W PZOU ThV [Tv ^fMOTw^ T_d N{ — W ^fN{— TV    ´•do¶y{ [9S W NZR`^fMO[TULS]M#^fMOT_jW d TXGfe [TR ^oW N€R T^ INZR^fMOTqs![TU efM W du^A¸A]nNQ[]du^OWhR v []dƒMUOPXW ` NS^)NzV‰RO[ ^ “ =1’”e} 1’ The ROPQTad W [Kd±— Thns MOMOTaT_d ^fThMO T_d ^fMOT_j Wh^LM NS^iW\V NZ&M ROPQT`v []dƒMJ{   ŒC‘ m Œ  ¡(¢ d¡ ¢ ŽY¡bG“e 8‘Re^ ‘e’”“h•‚´G" “e¶– 9!ŽY ¡œ–/ ¡d “e ŸG’ K“e¡\ 8x!‘/¢ ¡1ŽY 8¡.‘R;e5 “e-c1¡d’”Y‘ “e 8-AŒd’¡;–¢ Ž#;e¢ ŽY“e¢ ŽY1.¡ ’”¡;“ W m‘e’’ ¡(1e¢ ¡ 11’ – m< p“ =¢ ’MGe¢s *  d¢“ ŽY1 ¡ ’ ’ ;e¢ “ž ‘e“e¡’ G1¡ ¢ 1 ’ <Ÿ p¢s¢ ’M5“ e1e  ¡  5 ;‚¡1 ¢ ŽY¡ (¡¢ bŒŽYeG‘ > J S  x´4x · do¶ Š B  'L)(@J  x´4x dHeA¶|© ´4x b ¶ Š ´ "#"•¶ 96ŽY¡*‘e’ 1¢ 1’ < p¢ ’Me   = Ÿ’ %$ 5“ G’”“e ‡’   ¢ ŽY¡;“ – 8¢s‚¢ ’”Œ ’ –;’ #¢ &

(59) (e;“ G¡d“ (' e 8¡ŽY“ > '  d /10 ! #32  %Q ‹ *PS) NZM Ld B , p.- # +  3Gk ´ N ¶ s MOT T|O‡ W]e ^ — W P€U TnV [Tv ^fMOTM TkWhR WHR=^ ^fMOT]— W d NXWhR e T  W d TM TR ^fNQ[hR T^X jn] NQ[]duO^ WhR ˜ de‚šWns M [ V WajLVV^fM W ^ MOT Gu^ [ TV+RO[ ^ ^oW‚‰ M T)N€RœR PQ˜W]ªKe š T)U„^f\V [NZRL)SR d [][hd\— ^fT)MO[T^f]SM [TT)R d W TPSVNS^UOj PS^yROV I“d []{R [AT_d\^fRONQTd [V [T[Tv6 v s  ” WTtiV+TaV dƒU„M X„NSV\^fTThYAR2UO[ TRPSj“^fORP jµ[T&M S]N{NQ— W T)PzV|R { X j UPXWZY\[ PQT ^a` LU TaefMqWhR„^J§ŠOU NSPQPQT)& RCULM[ X T_^ dnNSd [TTkve ^e d R[ dVƒ[V\NZ[TRL v S Vn[Tv±WTn]V NQ[]duO^ Wh%R  V+&M TaWhR — W PZOU T d TV OU PS^ e_WhR X TtX WT\V T^ [TR ^fMOTt^ Tae_[h&M R [ \V NS^fNS[T(R [Tv ^fM T. M´ Lm<Š Nh<Š OKRŠ Q“¶dŠ > = $4658769:7<;:7  4 sL Š<M NhT_Š<d OKT ŠRQq= NzM´ VVLmT|<Š ‡ONh<Š W]OKe RŠ ^fQ“PSjh¶ NZp V “eWq 8df‘cWhR„^fMO^ T[TV\M T)T — ^“W S]d TNXWHV X e PST d [ ns VƒV MO`![ ^f\V MOT/T — — W W PZOUP€U T T)NzV [hv d N€ v X2^fT_MONZTtRLSqRAULrM[ X ^fMTad T_d [hsnv NzV\TTh^“{ ]S T¨V jµWZ^V ^ojCW]M‰eoMOM&TT ^ ^fd\^fj [ ` n ^fM Tw& M TaWhR [h v TaW]efM = e [TR„^ NS^fNS[TOR T^ OU R [TR ^fM Twv W]e ^ ^fM W ^Lm<Š Nh<Š = OKRŠ Q ^ T†LOR T)^¢s [qT^“]S TVV T|O‡ W]e ^fPSj"NZV‰d hb K ^fM T & M M TkNZWHR R›W ^f — NSW [TPZ(R OU T[Tv Y^fMO T ]—  W d NQWhR $ e_T  NZV #%R $ df W de T^fNQV eaOU WhPS^yOX V+PSTtv d XL[hU M ^ ^f^fMOMOTT_d e_TT[h{ Ms OX MONZR T W T|^f‡[]d^fNQTeR„V\V NSv [T[]R d MO[T vNZ]S ^fMOMOT_NzdV M W RO[TRO&M d [T)RW]^yefMV\V ^f[ [c[TRW O^ T ^fT_dƒ& X2Tae [T´ NQM&N ¶TV[ NZR ^ ^fN df2W]T_e d ^oT)WhR XO^ PQThW { ROROd [ W]efMK^f[ &M [T&M T)R ^JO^ T ^fT_dƒ&M NZR W ^fNS[TR„)V Nz)V ROd []R [ \V TK^ MOT_d T^fM W ^ W Pz\V [ PQTaWT^L&V ^f[ ^fM T‰^ T ^fTadƒ& M N€R W ^fNQ[T"R [hv ^fMOT&PSNZ&M N ^+^ NzV ^fd N€X„U ^fNS[TR{ s MOT&MOTaW d\^h[Tv ^fM T)M W ^ ^fT_d NziV ^fMOTv []PSPQ[ns N€RLS NZR ^fT)]S dfW P d TaROd TV\TR ^oW ^fNS[TR"[Tve_T_d\^oW N€R?” V\Tad NSTV ^fM WZ^VU PXWZY\[]PST_^hWhR„^ ° W P{— j ˜ ¬Kš*M Wh— TU„V\T^cNZR ^fMOT TRAULM&T_dfW ^fNQ[TR"[hv e_[TRLOR Tae ^fT^J]S dfW ROM„V\X j T|O‡ e TVƒ V [Tv0RAULMX T_d [hv T^L S T V [K]— TadRCULMX T_dn[Tv0OR [“^ TV|{ ŠŒ  fAn @ ¡¢ d¡ “   W– d¡1 (B¡  m¡ =Œd¡ -A’ ¢ Ž›eG‘e’  8“e •4¡1 8¡G“‚¢ ’w W4• / W 8Œ¢ ’”eD  C´ A¶ ¢ ŽY“‚¢\’ “ / W–/¡d‘ ¢s d¡*“ 5“ WG¡  ¢ m  8e–;’”“ S9ŽY¡1  ¢ ŽYE¡ GF / Y– H ´ T¶Š  I · . . . . . . . . !. . G. 2. !. . G. G. G. 1. ./H. . . . . . . . . . 3. . . . .  . . . . 3. . . . . . . . . . . . . . . . . 1. . . . . . . ; . F. . .  . . ;. . . . 1. . . !. 1. . . . 63. .. . . . . :. 1. . . G. ;. . . . . ) 3. . . . . . G. !. G. 1. G. . *. G. G;. G.

(60) “R‘e–;’ ¢ ¢ ŽY¡’w  ¢s¡s•ed“ G¡ =G¡ (¡1  ¢s“‚¢ ’”e  ? H P´ ! •¶ , d p.- /  !_# 0  ‰ C ´P! 0 ¶ Q ' ‹ ´;· ¶ # 3cdK ž° ^oW d\^\v d [TA M ^fMOTO WhU„Vƒ\V NQWhqR N€R ^fTS]dfW P / ?  !_# 0  Q ' , p.-

(61) Š # ^fMOT)R\V T_^ ' ( ' L)^f[‰]S T ^ ? ! 5  , d p.- /  ! # 0 B J! 5 0 Q ' ‹ # s MOThPQT)M‰) M W Nz V [TX ^oW NZOR T^OU R2[hR\V T ^ ^fNZRLYS L ( , Wh R„^V ULM‰M NZRLSL{ s MOT v []dƒMOU PXW ´;· ¶ G PQN€OR TkW d N€a‚ TV I^fMOT)T|‡ R [TOR TR ^ NZ( R WYAU M WhWaR j ^fNS^[Tj!v e PQN{[T]‰ OU T duV\ Tˆ5 X  Ti`0NZM&snR MO[ NQeoV\M(T^ e [T[TR„RV ^fC‰NS^u´ U ^f¶ƒT¶yVh{*U^fMO[]Td d TaW PV ^fd T)RL S ^fM [Tv ^fMOT9& M T_^fMO[“^ ´ — W d NQ[TU„ V [ ^fMOT_de [TR„^ NS^fNS[TR„Vž) ^fMOTS]T)ROTadfWZ^fNZRLSJv ULR e ^fNQ[hR"[Tve d [ VƒV\NZRLS V `sT M Wh— T ´ ˆdH¶ 7?  #  `^fMOTS]T)ROTadfWZ^fNZRLSJv ULR e ^fNQ[hR NZV C‰´ ¶ ´ dH¶  #  T´ ,  ¶ Š WHR=^ W ROR PSNXe_W ^fNQ[h R [T!v ^fMOThPQT)M‰)M W j NQT_Pz^LV ? d /  P´ ! ¶ , p.´ ªT¶  !# 0  '  ´ ' Š ¶ Q ' Š . . 3. . . 1. . . 1. . . . 1. 1. . . H. 1. G. . . A. . 2. 1.  G. 2.

(62) . . #. . snMOT_d T. . . . 1. G. 0. 1. . 21. . . 1. .   1 5G. .  ´ ' Š  ¶ p' V\NZT|RO‡ M RW´ ´  '  , p ¶“  V\N€p R MW´   opTeC¶¶ ‹ 1. ´;¬ ¶. . . zV±v ƒMU ZV )R hU„S w^ Tad NT— Th^fMOTˆRAULMX Tadn[Tv0^ONQWhS]dfWhM‰V´ ¶X j ^oWe‰ NZRLS ^fMOThPQNZM NS^ WTV ( r `  ´•dH¶ IPSNZ) M  W´P! ¶ , d p.- /  ! # 0  ' Q ' p´ pHx~x ¶ ‹ # ¦ N 2T_d T)R ^fNQW ^fNQ[hR+ns NS^fM d T\V R Tke ^!^f[ v [ PQPQ[sT^+X j R WTVƒV WhS T^f[n^fM TPQN€M&NS^ ( r\S]NT— TV W]e_e TVƒVWM&TkefM WhRONXe_W PQP j ^f[9M&[TM&T)R ^yV[hv WhR j†“‡ T^ []du^ Tad){s M TR d [ e_TVƒVNZV0sT_PQPAsnNS^fMON€R ^fMOT eaW R WhXONSPQNS^fNSTV [Tv W e [TM&RLU ^fTad*W P€S]TXOdfW V j“V ^fTM PQN{]‰ TVbcW ROPST]` WhR„^ [TOR Tˆ†LR=^LV NZR ^fMONzVž s Waj« S  d S $  $ x´4x do¶ ´;c ¶ S  $$ x´4x dH¶|´;©ox µx Zd pT¶ S  $ x´4x dH¶|´;bT©Hx deTx #pTbh©Hx do¬T¬Hx #poeC¶ gi[ ^fNXe T ^fM W ^ ^fMOTˆv [ dƒMOU PXWTV±v []d ^fMOTˆM TkWh R WhR„^ ^fMOTb — W d NXWhR e Tˆv [ PQPQ[s"^ NQd Tae ^fPSjtv d [T:M ^fMOTVWhX [K]— TVT|‡ ROd TV•” \V NS[TR„V|{ s MOT&PQN€M&NS^^ NZV ^fd NZXLU ^fNQ[TR NZVˆROT)‡ ^V[TX ^oW N€R T^fX jµV\MO[snN€RLS^fM W ^h^fMOT‰­ W R PQW]e T ^fdfWhR„V v []dƒM [Tv WV ^oWhR“” O^ W du^ N€a‚ T^™— T_du\V NQ[h R [h

(63) v e [TRR— Tadƒ S T V R []N€R ^¢ns NZ\V T ^f[ ^fMOTˆ!­ W ROV PXW Te_R T ^oW ^fNSdfPzWHnV R=e_V [hv []R4dƒ]— AM Tadƒ]S [TT)v R We_TVOR []NZR dƒ)M PXWW s P8 — ^fW [ d NXW‰WHX OR PS[]TTdƒ{)M ¨ W j P ^fMOT e [TR ^fNZRAOU NS^j ^fM T_[]d T)M v []d­ W R PQW]e TV^fdfWhR„V v [ dƒMwV*˜ d š ` ^fMONz — W d NQWhXOPQTh{

(64) } Ti^fMCU„V\V\T ^ . B > Š ´ ¶ Y5!  RŠ ª 1. s MON []d OPQW&N T [ M ^f[ . . . %. 1. . . . %. . . . 1. . . . . . .  . . . ?. . 1. . :. . %. B. @K>K?. 1. . %. . <. .. .. :. .. 1. . . . . . . . . . . ..

(65) V\[&^fM W ^. 9´ ¶ "! #     W P´ ! ´•dH8¶  ¶ ‹ ´•dkrA¶ ­[TvW RO^f} MOPQW]T e_MOTNZTR  R V_^fTM S dfT_NzWhV^fR„MOWˆ^c[“†“^œNz‡ VhT˜ bk^&W š2^ {id^oTaW s W NZROMOP„TT RA^cULeaMWTW V\^ X T Ta' [Td_`v ´ ´ ¶r ¶ `WTNzsnViVMOW&ROTad ^fd[KT|T — ‡ Nz^u^ X T[^‰[aX, ‰ jpoT|x´‡OªT`Wh¶oM&Wh`«R„´;RO¬T^ PQ¶oT `«^f[TM ´•vdkT&r ^fe ¶oMO[T` TR e_^fWhM d RwNZT_XL^fX U MOTn^f[“NQT^«[T—]R"{ W PZs [hU vMOW T^f^fTMOM)^ T WH^fNZMOR‡ ^fdNZM[TT)S]ULULdfS]MW M P [TU ^yV\Nz^ T WHR NZR ^fT_dg—]W P![Tv*PSTRLS ^fMcp PQ[TSx W d [TULR„ v []dƒ:M rC! {t#6;} Tw ^ [` v^f[]MOdˆNzV`V\[Tv []M&d TSO rqr“{ WhR„r ^^^fT|MO‡OT)WhRµM V NZURO^ b)T&^fe^fM TMOTV T)^fR R [ [][ N€TV\R NV ^y^f^oVN{Wh— OX T)PSNz)R \V McW NZVd\^^fT)MO‡[TT Rve_[T^f[ ORM d T)T&d R Td ^f\V TaNXR W W [TPSPPSR„jPQ^NZROVNZRL&MT S`!W ^fPQROMOP `d T)[]X R [ T_T_^fNZMORLd\^T_S jd [Tns e_v WTMO^fV\MT)TR TV X2T_NZRLr RSw^fV\MONZM&T NSdfPXWHW R„d){ S T ' Kp `]^fMOT\Y U WHR ^fN ^j4! '  ^ Tae_d TaWT\V TV\´ N ^yV

(66) ^ T_d N{ — W ^fN{— TNzV

(67) OR T)S W ^fNT— T±v [ d*PXW dƒ]S T # 0 B TRO[TUL]S Mx~o¶ `=n s M NSPQTX T_NZRLS W PQd TaWT^ jqT|‡ R [TOR T)R ^fNQW PQP jV ) M W PQP W ^hp “{\¨ j ^fMOTv WTM V ^W ^PQP4Tai{ e_s d TaMCWTU„\V TV `«[Tv v [ d9! # ^ 0 [T &M  NZR` Wh^fM R T^ e_[TR ^fd N€X„U ^fNS[TR [Tv ^fMOT N€R ^fT]S dfWHR=^v []d ' Fp )Nzn V ^fMOT_d Tv []d T T|‡ R [TOR T)R ^fNQW PQP jV ) WTV j“M&R ^f[ ^fNQeV `~sT M)WajfsT_PQPd TV ^fd NQe ^ “ =1’Me1’i^fMOT N€R ^fTS]dfWZ^fNQ[TR N€R ^fTadg— W P^f[œ˜ np YŠop eš;{J¨žUO^a` N€R ^fMONZV O^ [h) M W NZR ` ^fMOT_YAU WhR ^fNS^j4 ´ ' Š ¶ NzV d TaWT^ NQPSj&T]— W PZU W ^fT^‰X j)s!Waj PQ[ dT|‡ R WhR„\V NQ[TR„V W ^r\V N€R e_T w´4x #  ¶ WhR„^ '  ´ , x~¶y{ ° T ^ ^fNZRLS ' wsnNS^fM ^fMOTVWh^„^ N ^fNQ[TR W Pd TV ^fd NXe ^fNQ[hR + PQ[TSx`LsTˆ†„R„^ xhPS[TS  ´ , pox Š B ¶ , p ©Hx ©p ¬d w´4x #%$  ¶d‹ re_^ [TM ^fMOR T)PST_R¯^fT V U ^fb&MOT&e_T^oV W NQ^fPzV[(` N€WhR R„^f^fT)]S MdfW UO^fPST)^fNSR P jµX WhjcS W ^fN€MOR=T‰V ^ RO![]#dƒM)0 W  PSNZ'‚aW ^fNQ[Tv Rµ[]d v W]e ^f[]dh+ T)‡ PQ[TRWSŠ´ x ´4X jK v6=Y ¶9U WZv d ^f[hNQ[TMR„V ´•dk´ rAªT¶yo¶ { `s ´;¬ MO¶ƒNZo¶ V ` R„OU d T_PSjJ& M TaeoM WhOR NXe_W P ROd [ e TVƒV`´ NZR ^fTadƒM T^ NXWZ^fT e [T&M RLU ^oW ^fNQ[hR= V [T&M N ^ ^fT^=¶ j NSTaPZ^„V > B ? © ! #  8  P´ !  8 ¶ "! # x /  T)‡ R p ¬ Q A´•d w´4x #`$  ¶ƒ¶d‹ # s M T e [TR ^fd NZXLU ^fNQ[hq R W d Nz\V N€RLSwv d [TM ^fMOThR TkW‚‰ [Tv ^fMOTVN€R ^fT)]S dfWhR„^ WZ^ NzV\\V N€&M NQPQW d_` WhR„^ [TOR T`†LR„^„V ´ ¶ "!  T´•d w´4x #`$  ¶ƒ¶d‹ Rs [ MCdƒU„)M V `nW P6^fMO — W T8d NX!­ WHW X ROPST]PXW]` e WhTqR„^ ^fdf^fWhMOR„TVV v PS[]NZ&MdƒM N ^n[TPXWv s ^fMONz VT TO^ V NZ^oV Wh^fOX d NZPSXLNz\V U MO^fTNQ^«[TR{ e_[hR4]— Tadƒ]S TV R []N€R ^¢ns NZ\V T ^f[ ^fM W ^ [Tv W V ^oWhR„O^ W du^ ‘ l Œ  s MOTnT( — W PZU W ^fNS[TR„V [Tv

(68) ´;c ¶ MONz^ T\R [hR ^fd NT— NXW P WhR„^w\V [TM T)ns M W ^6M jLV ^fT_d NQ[TU„V Nz^ T)R ^fN ^fNQTVŠV ^oW d\^fN€R„Sˆns NS^fM ^fM TVs![hU efM W du^C”;]nNQ[]du^OWhRqNZ^OT)R ^fNS^j d b o© ´ pHx dH¶ ´ dH¶ [  x #%$  ] [ x pox ] ‹ # bc[ d T`]S TOR T_dfW PQP j ` ^fMOTad ThNz V W&e_[h&M RLOU ^oWHX PSTVR []PSj“OR [TM NXW P  ´4x~¶6V U efM ^fM WZ^ ´¢d ob o©  ´ pHx dH¶ƒ¶ *  ´4x~¶ ´ ˆdH¶ [ x  #`$(  ] [ x pHx ] ‹ # _! _9 9 ˜ d(š L0{„¨ NQPQPSNZRLS \V PST_j]` 3G d“ ’ ’ ¢ “e 8‘ –/¡G“ / YG<¡ v¢ ŽR’wd‘™¡d‘e’ ¢ ’”e  ` ][]MLR} NQPQT j ° [TR„V+´•docTch© ¶y{ ¬.  . . . . . . . . . .

(69) . . . .  . . 1. . 1. . . . 1. 3. . .  . . . :. . 6..  . . . . .. .. . . 1. 1. . . 1A.. >.  . 2. . .  . . . . 51. . . . F1.. . 1. . . . . -.. ! . . . 1. .. >. .   C. . . G. !. 2. G. G. G. 1. .   -C. . 5. .. . . G. G. !. 2. H. G. G. .. . 1. .. ". . . . . ;. $#. &%. H. >. 1.

(70) ˜ pkš`­Š{?®[TM ^fT ^a`‘5;e“e 8Œd¡d‘ve– 1’  8“‚¢se1’MŒ o`„]nTaNZ^ TaP´•doc ªoeC¶y{ ˜ bkVš g{ O{„¦ T`¨dƒU N Y R` – 8¢s‚¢ ’”ŒŸ¡(¢ ŽYK‘ ’    8“ d’ o`„¦ [K— T_d+´•docT¬CdH¶y{ ˜ e‚Vš Ldo·C{ dTU{ PXWZY\[ PQT ^a` ® [TM+X N€R W ^f[]d NXW P WTV\R Tae ^yV[Tve [TR ^fNZRAUOT^v dfW]e ^fNQ[TR„V ` ’ (Œ1d¡¢s¡ Ÿ“‚¢ Ž «b p´•docT¬ rA¶o` dZpT©¸ ˜ ©kVš LV ^f]{ dƒUU ePXWZ^uY\OU [ d PQTT V ^a` `

(71) L{ U df•4Whe R 1e_ ’ [h¢ RŽR– WhR„9^ d L´•{Tdo§ŠcT¬ OU rANQPSo¶ PQ`T)&MdTdTNZd|R ¸„`Ld° eLTdTYA{ OU TR e Tn[Tv []R T_dfW ^fNQ[TR„VWHR W PSjLV\NZVv []dŠ^ j“R WhM&NQe\^OW ^oW ˜ ·kVš L O{ “‚U¢ ŽYPXWZ¡1Y –/[]PQ“‚T ¢ ^ ’MŒ Wh R„p ^ rhbe´•O{ dogichcT[kj]c `„o¶ ` [9p R r W bPS¸ j p]^fphNXe`cC{ ® [TMOX NZR W ^f[ d NXe)V [T!v gi[TR“” e_d [ Vƒ\V N€RLSJ® [TRL†LSTOU dfW ^fNS[TR„V ` ’ (ŒG¡¢s¡ ˜ ªKVš LbT¬{ U´•doPQWZcTY\¬T[]· PST_o¶ `^a`„kd ®_pCd|{ ¸=LdU e Ta·Cef{ M WhR„^ L{A§OU NQPQPSTM NZR ` s MOTiWhR W PSj“\V NzV [hvW\V NZM R PST PSNzV ^±V ^fdƒU e ^uOU d TV ` ,G  (e1Y–  ŒM’  ˜ ¬kVš L{ UPQWZY\[]PST_^ WhR„^¨9{«° W P{— j `LU„OR RLULOX PQNz\V MOT^)M WhRAU„V e_d NSR ^{ ˜ ckVš LeoM { W UR PX^fWZT_Y\du[ nV PQT W ^)d TVWhR„Wh — ^ W NQ]`PQWh{6OX °PQT T^LWT S V T)r ns g9NQ]ed‰ r `[¥ n] =T“ \V TkW ¢ ’”dfŒ efM\n] e– T_R2[ ’  =d\^y“‚Vˆ¢sedo1¬T’”¬hŒ ¬f`Š` p X r][ pT[a· ‰ ` N€pT#R b ªhRO· d `2T_phR cTW ©TdfW· ^f`=NQbC[hRdo]· p ´ NZ¶yR„{ ^ N{— NZ^“U W P ˜ dkreVš bWhR„{ ^ v\{^ftMOT`{ r [V )M Vg ‰ W T_NQjCP `«”2} ¦{NQPZ\V° [T^oRWHR NZ^fR [h^fR T)]S WhdfR„W P^f`%O Y{=G§  mNQT)¡dRL“eOR  [

(72) ^a`2s vMOeT– e 1[T’   M?OX ¬N€R ´•WZdo^fch[]¬ d ªTNXe)o¶ V`?bT[hªh!v c¸“ ” bTti c T_pCdƒ{ &M NS^fT R []P j“OR [T&M NXW PzV ˜ dTd(š`[

(73) ]{ giveN Y\– T)R MA’w 8OU “‚Nz*V ¢seWH1R=’”^“ t9{ ŽY°=¡G{He}  NSPZv ` s p ªtM T ´•dovŠc RAªhULc &M o¶ `=T_bTdf©TW ·^fNQ¸C[TbTR ©TcC[Tv{ ® [TRLOR Tke ^fT^wiO dfW ROM„V WHR=^­ NZRp]‰ T^h¦ NQWh]S dfWhM‰V ` ˜ Zd pkš L–/{ ”•“‚O¢ ’M{ Œ _LT)doRbhcWHU=´•2^ do`=ch¤9cT© OR o¶ T `?boROeCd ªT¸“UYbT— ·T`r“OX { N Y\Tae ^fNT— T+^  ULOR Tv []dƒMOU PQT+^ T s![hU efM W du^C”;n] NQ[]duO^ WhR ` ’ (ŒG¡¢s ¡ Ÿ“‚¢ ŽY¡ F ˜ dobkš`]`dobT{ c®_{C´•don] c TaªhWTcT2^ o¶ ``Ls eTeTMOeHTi¸Aefe MO©H[]eLdu{ )^ NZR ^fTadu\V Tae ^fNQ[T)R R d [hX PSTM ` p 8“  ¢ ŽY¡ ¡ - e< 1Œd“R‘R¡1–   Œ1’”¡1 8Œd¡ ˜ de‚š L {T“‚] ¢ ŽNS[]AduO^ WhR v` es – MOT Y¦ ¢s“‚Nz¢ V ’”^fed   N€XLpTOU c^fNS[T´•d&R c [Tªhv© o¶® ` d pC[ doVƒ©\V N€¸ RLp S p]*V pC[T{ v ® MO[]du^LV ][]NZOR N€R„hS L*W NSdu*V [Tv pHx R []N€R ^yV [h)R W+® NQdfe PQT ` ˜ do©kš`}]`{T\V ° PSTT_^“jµ]S ´•T|dns cTNXcTeG· ‰ ¶y{ WhR„K^ L0{ UPXWZY []PQT ^a`  !’   ¢ GK5‘ mŒ(¢ ’”e !¢s›¢ ŽY¡ “e 8“ d’ ‡ ‡“ •Re1’ ¢ ŽR– o`[^L^ Nz\V [TR“” ˜ do·kVš L{ ]`poe{~° ´•^fdoT_c NZªhR ¬T` o¶ 9`?bTcR © Wª)¸“® bT·TPQWT·CVƒ{ iV [hv­ NZRp]‰ T^8¦ NQWh]S dfWhMwV ` r 2{ vŠRAUL&M T_dfW ^fNQ[TR `

(74) c \e– ’w 8“‚¢se1’”“ 9ŽY¡de ˜ dHªKVš L { ]`“‚¢ {ŽY°¡1–/^fT_“‚NZR ¢ ’MŒ Wh R„pC^ d ®_´•do{ Lc !{ ªH¬ vvo¶ — `?T_ b d rTT_^c^a¸“` bC_do¬A(R { W ® PXWTVƒVV [Tv±­ NZRp]‰ T^ h¦ NQWh]S dfWhM‰V ` rƒr {W[V j“&M R ^f[ ^fNXe)V ` ’ (ŒG¡¢s¡ ˜ do¬kš`[WhR {W^yV° `^f[

(75) NZ&M  T)OR8[‚Vs ¢ ` 9vŽY¡GRCeUL &M "T_! dfW “e^f–*NS[T’ Cc"R Œd[h“‚v ¢ ’”efeMO  []du^ # ^ 6%NXWH$%]S $'df&WhZMw`=cThV bWH¸=R=dh^deLWh{ R OU ROR2T_dX [TULR„^8v []d_§ WTVƒ\V NSPQNQTq— NZRR]— W d N€” ˜ dockš L { “‚s!¢ [TŽ ULefe8M ´•W dducT^ ]© `Wp °Co¶ OU ` d9p¸ ULpTcR ©C{ ROd [TOX P T)u &M T^ T e [TRL†LSTOU dfW ^fNQ[TR„V T_^ˆV OU d PSTV_v dfW]e ^fNQ[TR„iV e [TR ^fNZRAOU TV `\“e =“R7‘ (

(76)  .  . . 63. . ;. . . . #. #. . . . . #.  . 3. ). . . . . . #. . .  . #. . . #. 3. . . . . . ). #. . . . . . $. #. c.

(77)    

(78)  

(79)  

(80)

(81)   !   #"%$ & '(  )+*,-

(82) #./ 0 21345"6 00   #7 829 6 :;=<

(83) 6 6?>

(84)  ,-   9 6/,A@ ;B2;  <=CD:EB#BGF HIJ-KL AMJ KLN1-O    

(85)  

(86) NH(P(   0  0 /1A#45"6 0 6  Q  07   

(87)  R,-#6&  S6T2U <EBC+V JWJ-KX1AS Y    

(88) S ZS

(89) Z % $  *P&"/ 0  :#<#<  Q   6  &\[ J]6

(90) #"/2U#^U#U B5_?` , `  ` aK+ _ N!H (   '

(91) S ZS

(92) ZNH+ 9 6  S6  /b#45  N  F #&6 S#6c2+ 9 6  #6  /,A@ ;SBD<  d ^ ;=< UeIJf1gJAK(]Oh1AS Y (   

(93) S S

(94)  HiK+"  E*P D7 "/& 0  V=B#B#C

(95) #6    0 6  #& 0 2,A@fj#U+ B#: j BDV K ` @WgP*kN((@ ` HK 1AS Y. Q ^ )U 6 r g9] r [ „¦ TM ZR +^ ˆ§ ZU hU „] )YAU ´ R hTR U o¶L¨ Ed © ªH¬Cdo©Tb­v ® tiv±° g9[

(96) ²³®T^ T)‡ lmmnoqpTpr'rRrXsutvw

(97) t xs yZw r °„° g r poeAco”¢·TbTchc v SN ^fT Od ` [ )W N OT T []P e TkW ` n[ e OT e [ Od\^a` L kr ` U dfW e_T.

(98)

Références

Documents relatifs

To test whether the vesicular pool of Atat1 promotes the acetyl- ation of -tubulin in MTs, we isolated subcellular fractions from newborn mouse cortices and then assessed

Néanmoins, la dualité des acides (Lewis et Bronsted) est un système dispendieux, dont le recyclage est une opération complexe et par conséquent difficilement applicable à

Cette mutation familiale du gène MME est une substitution d’une base guanine par une base adenine sur le chromosome 3q25.2, ce qui induit un remplacement d’un acide aminé cystéine

En ouvrant cette page avec Netscape composer, vous verrez que le cadre prévu pour accueillir le panoramique a une taille déterminée, choisie par les concepteurs des hyperpaysages

Chaque séance durera deux heures, mais dans la seconde, seule la première heure sera consacrée à l'expérimentation décrite ici ; durant la seconde, les élèves travailleront sur

A time-varying respiratory elastance model is developed with a negative elastic component (E demand ), to describe the driving pressure generated during a patient initiated

The aim of this study was to assess, in three experimental fields representative of the various topoclimatological zones of Luxembourg, the impact of timing of fungicide

Attention to a relation ontology [...] refocuses security discourses to better reflect and appreciate three forms of interconnection that are not sufficiently attended to