Graph Interpolation Grammars as Context-Free Automata
24
0
0
Texte intégral
(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. Graph Interpolation Grammars as Context-Free Automata John Larchevˆeque. N ˚ 3456 July 1998 ` THEME 3. ISSN 0249-6399. apport de recherche.
(3)
(4)
(5) "!# %$&
(6) ')(* +",- .0/01243*5)687819;:=9?< >A@9 BDCAFHE GF IKJMLON?PQFHRTS;UPTVXW?N C W?GGFYZG[S\U C V]N^F;_ V`G[Sba\FHc_edeW;j NeRQNgW\FkOf FFhP%ch_^l%UPQW?W;NemXNem SbV`cicTS;NeUFHc n S\oeo)W;RTPDd^FRTFhU C FHRTU C FpNKq\IbrtsbuJMv?w^m]xzyH{\{\| J~}b[oeS\a\FHc & h e\\ lBDdeC FhRTVXSbPTVXW?NcQPTFhoC V`NC SRTS;o C LON;PTFhRioW;m]S\PQV]W;N C RTS;G[GS;R C S;cAP C FFC FhUPWb^cTUhS\NeN^V`N^a*S;N V`RTNeFhoecTPTweRTPV`UPQPTW?c=bP FhC N
(7) F W?RTG[V`cS\mFHo)SbPiWwegRQFhF;R=_\WbV`U LTSbchV`G[BDcC SbV`PcDFhUGKW;N?wePim]RTS\S;PQcQV`N^Pica DP V]P FC V]NP CURTFFhGS;FhUPgN?PTP S\C mXS\V]PPgxKP W\C 0F P d^FhFRTNeV]8S\S\PTPQweV]W;RiSbN-m)GoeS\FHRiU cQC FHSRY _ NFe0V]ciFHGUP V`N?W\g\W\V`Nem]\oeFHw^cDPQSYZdURQW?V]\N;FHPTNF^dePOYFhcTRTFhVXNeSbcTPTVXPTVXW?VX;N F S\d^NeFd tV`URTFKFhcTcTPTV]RTGV]UV]PQm]FhS;dR%PQUWW?N?PiPQRQFFh^FPQS\YZcTd8FhkQNewcTNeV]PQUV]PT\VXW?FhNeN-FhV`ciN cB =lW?w^m]dc )BDF&C UFW?UNeW?UGKFhVX^S\V`N^eFHmXdx ¦wNtRQFhW;FRT¢¤PTweS;NN^Sba;PQweF S\VXa\FHVXcP PTweC RiVX¦ N^m]F&Fhd¡)FW?V`w^N^P*a§P oeC S\SbRTPPQV`Sbm]Rim]S\x¨o UC W?CN?LON?PQFPTFh^RiPQoYZcTW;C Fhm]NeS\cTPQV]V]W;PQV]N£\F\¢¤ S;BDN^a;C weV]cKS\a\RQFHFHcgoW?deRQV]dPcTN^FW;PiPcciS\we)eW;ciw^wePKGFFeS\¥=¦ GW;N?V`N^PQFV]Neta P RTS\Fm]cTm`SbW PTeVXW?RTNeV]N^ca?)cFW;Pgw^P=FFhS NcQPi¥ RQW?N^acFhS\©tNew^dV]8S\mXLTFHNechU_?FDS;)NeFd[Pgc FFHWN&*c¥ P¦ S\P=cS;NeLd¢¤cS;LTRQFDcS W;oeRRTW;P o)C FhFRUcim]weS;cTo)cFhW\RiU
(8) m`¥S\ci¦ c¢¤Wbch ¥ BDC ¢¤wechc_;LVXPP m`?S8x£x^c%P LTC Fche_S\ecTweV]P*cgcQW?PTW;R*oeGcDFhc S;C N^W;V]RTNeP%abWbw^m]FhmXx-GV]eN?S\;RiFh?cTV]PQN^V]aa;SbW;PTN-V]NePaC P V]cDC FKV`N?S;\GFHcQW?PTweVXa?N?SbP%PQV]WbW;N
(9) U W?N;PTF^POYcTFhNecTVXPTVX;FhN^FHcTc%ciweoeo)W;RTPQFHd ª¡«?¬i®K¯ °\ oS\RicQV`N^a_NeS\PTweRiSbm¤m]S;N^a;weS\a\FoeRTW^UFHcTcTV]Nea_m]V`N^a;w^V`cTPQV`Uch_)a?RTS;GG[S;R_0cQx^N?PTS;UPQV`URTFhoeRTFY cTFhN?PiSbPQV]W;N ±³²µT´ ¶¸·H¹ µ´ º»]¶Z¼Z½¾. Unit´e de recherche INRIA Rocquencourt Domaine de Voluceau, Rocquencourt, BP 105, 78153 LE CHESNAY Cedex (France) T´el´ephone : 01 39 63 55 11 - International : +33 1 39 63 55 11 T´el´ecopie : (33) 01 39 63 53 30 - International : +33 1 39 63 53 30.
(10) ,* " *
(11) ¡ ¡* & , Q+ ,- !# %$& ,¡
(12) « « E C om) V]W;NewUhRKR^FhfFG0FhFhPN?PTdS\mXV`V]N;P^N^FP^f FF f d^a?FFKRQf PTFHmS;R oS;weNeF£N Sbd^m]x^mXF-FcQ FHdgFhEweFhfGRRTVXF-cTx^S\d^N?PQF-V]PTW;SN m]^SV`de©tU S\w^C NFScK]NeNeweS\F&N^PTwedFRT FhFN?m¸_ARTPTS;R^RQFG[FHf F;cQGPi RQFhS\¥=V]V]N?RTFhFP*PQPQm`SzF¡S&LOoeoN;RTw^PTW;FhV]oeciRiciRToS\VW;FNef m]P^US\F\f FPQ_V]W;©tW;New^RicKV=Gd^tFF¡V`m]cQmXFF d^SERiFhS\cFHo f GKFhw^LTcKm]FhS R E C wU¥=W;N FHN8UkOGV=W;FhV]FhfN?cTUhPP S\N^dS§V`w§cTUGW;UW?N?F GPTRiSE o)S\cTW;FPQRTFHPQFR FHP¡GS8\UFhW;FhN?U[N?PPTm]dFF^ S\PTw^w^S\PTVXFhPW;mG[©tS;w^SbNeFPTSbFm]m`W\S§d^a?FHw^dgcF FHf dgRQSV]E FhfRTSbmVXPQS\V]SbW;d8PTN kOVXW?W?NeNed UcD wePTFhVXN^W?PF£N d U dweSN^S;]FRTN^FURQFhFzoRTPTS\dS\RS\V]NeNeweFKc£NeF¡GweN^FhciF LTwe RQB FlGd^FFPgU¢W;FhN£N? FPQkOFFh?Fw PY PiS¨E weV`SbN;m]V]PTP^FhFfRioo)W;W;m]wS\RTPQRiV]W;SbNeV]PcS\d^)F¡W;wea;PQRiV`S\R o SE C weFhcNeFN^F¡cTVXPicTweweSbPTcTVXweW?NGoFHRTW;S\PQVXFHFHN;N;PTP[VXFhoemXm]S;FhcGm]FHFhN;cPm` S\S\ N^U a?C weFHweSba;cTFFhcdeS;N^NeW;cN m`S\UW?©tN;w^PTFhFmXm]^F*PTwem]FhFc=m`cm]_S;N^PTW;a;w^weP[S\a\FHFHN c FhFhf PTP*S;GN;PgW;N?oePTS\RTRTF PQV]©?Fm]wem]FFhGmXFHFhcDN?m]P%S;UN^W;a;N?S\PTa\FFH^c PTw^S[E FhV`m]N?chPQFH¥=RTo)FW\Rim`S\SboePTVXo)W?W;NeRTcDPd^FF ^S;a;GRiS\V]oN^CFFhmXc%FHc%UW?RQFhNem]cTS\PQPQV]V]PTW;w^NeFHcN;PFhN?wePTN^RTFFm]ciFhwec*RTU¥ m]S;¦ cT4cTFFhcQP=PiRQm]FhV`Uc*PTFLTd^Fhc _ m`S;S\wtNeza;Sb¥ a;¦ Fhc N^oW;W?NweUR*W?N?m`SPQFU^m]PiS;w^cTcTFFm`cd^FhLcm^xKm]S;FHN^cQa;PwFhf Sba;a\S\FHmXcDFHGN^W;FHN?NPUGW;N?W;PQN?FPi^R^PTFgf w^©tFhw^m]chFDmXFH¥=cFhcLTReFHf cTw^cTW;m]PTN?S\PPTc*W;deRTW;PQFHNeGN^FHFHN?N?PPKFhwef ©tN§w^cTV]8FhS\NemXc FHN?SE PQFhm]S c ©tw^FHcQPTVXW?NdewdeFa;ReFf deFUW?N?PQF^PiweSbm]VXP^Ff d^FHc%LT_^©tw^VoW?weRiRTSS\V]NcQV)SbV`RQF m W;^kOFP=deFPiRTS8S\w^w^PiweRic p¯ H « cTx^N?PTS^F;_^m]S;N^a;S\a\FNeSbPiweRQFhm _^m]V`N^a;w^V`cTPQV`©?weF\_^a;RiS\G[G[SbV`RTF\_^RQFHoeR^Fhf cTFhN?PTS\PQV]W;NcTx^N?PTS^V`©tw^F.
(13)
(14)
(15) "!$#&%('
(16)
(17) ). I.
(18) § ,+*g . ,.-/,. 0&13254(687:9<;>=?134A@.B/2C;3D/@<9E0&132GFHFI251KJL25JM2GNO;@.FP2C;>2. ,.-R. ST2C;3D/@.9U2GB/=WV @X1Y0&70[ZX1K2C4\6UJ. ,.-. O4U1K=?J>J:D/.=4A@?=$1@XVZX1K2C4\6ED^9<;=$134A@.B^2C;D^@.9. C BDC TPV`NeWRioeS\ciweS8o Pgx[cTP PTLOC RTN?V]S\PQNePgFHaKRTSo)V`c=W\d^m`FhciSbURTPTV]S;VX8W?NeS\N£N^PQFhV]W;d
(19) N-RiS\cQLOG[PTN&FhG[oP C S\V`V`N&Ric%c%oSS\FHRTRTFciLTo)V` NeFhUd^V`PTc%VXVX;S\FhF\N&RT_FhS;N?w^PQLTm]PQ x&W?G[tRiw^V]SbFmXPQgFHW?c=FhNd£UhGS\S\N-Wc%\a;FFRiS\detG[weVXFhRTG[=V]N^FHS\adRic= S\W;Cc=RDV`PU S\C C weF(W?PQQ)W;N^N^G[FV]PQS\PTFW;PTSebUFH W?NN?PTW\RTS\W\PP%mC W\V]Fc S;N-S;w^PQW?G[SbPQW?NA BDC F W;w^Pioew^P*C W\S< V`c*S[a;RiS\o C RiSbP C FhR%P C S\N¡S[PTRTFF;LZPTRTV]G[GFhd¡d^W*N£PTWVXPiceC S;RQFC FhcicTFhN?PQV`Sbm`c_ S£UW;NeNeLTFhUPTa;FhRid¡S\o PTWVXUPiS;cNm]FPiFGUW;W?cTNePcQV`U d^C FHV]RQm]d¡FHd£P C S;RTcW;Sw^a oC S\RTS PQV`Uw^m`S\R* K
(20) RT]^Fh/o_ RQFhFHd^cQFHa;N;F\Pi_SbS\PTNeVXW?d¡N-FHW\S\U C SU PTCRTFV]m`F;d¡_V`V]NcU W;NV`N^U FhUPQS&Fhd§N^W^PQd^WFKV]PTV]cc RPTV]C a FC P*W\cQm]m]V`W^Dm]V]NeV]N^aa P C RTW;wea C S ``ab c`d ]^/_ Fhd^a;F\eW _)P C FS\d^S\N?PiSba\FHc%WbP C V]cRQFHoeRTFhcTFhN?PTS\PQV]W;N£S\RTF y\Da;l RiS\oeo S\C RicQPF%C ciSbweP*^V`a;NeRiUS\m]o weC deFhV]cc*S\V]PmXm]_WcTgWFhPd C PTS\WPS;S\cTRTcTVXVXPTa?VXFHNKc*SUcTS;G[N¡S\mXFKm]FhRdeFS\PQRTFHV]PRTxGPTV`WN^FhSd¡a;V`VXNe;UhFhRQNKFHNeGWtFHdeN?F=PTSbP m]C m]x\S\N¦ P CW;FDR*UFW;eG[S\G[o^m]o^Fm]PQF\F _ a\klV]\FHNm SV]ccTFhP CN?PQFFHNecTweU^FDkOcTFhPTUS\PRTPQW\V`gN^aS-D\VXFhP Ri+C A_
(21) f eg>we hP P
(22) iC iF >jS\ URTV]PklxWbm P noC ngV]nc_b; FhCRi§S\PV`cUS\weNNe)tFN^WC *x^o)N¨W\SbP PC FhP cTC V phV`c FhdcTPTV]Sbca;P FC SbW\P P C FoS\RicQV`N^a }^%LOa;NKRiS\S;o deC d^cV]PQciV]weW;oeNo)PTW;WRTPPiRQSFhF=cQV`S;Gd8kQVXm`weS\NeRUW?PQoV]W;FHNARTS\_bPQ V]W;C NV]U C C c CV]U VXC PTcc C SV cTPiweceSPTRTcTFwF=^a;weRiRQS\P o C C FhRwed^RTWP *C FHNRP RQC V]F%a C oePhS\_bRiP cTC FwePTcRTFS\F;mXm]_bWoeDS\V]RiNecTaF cQoeFhS\PTRic S\deW\VX%a?UG W;NeUcTW;PTNRicQwePTUVXPQPiV]w^W;FhNeN?cPTcciweS;UoeC o)FhS\S\c RP V`CNFci©tW;wemXS\m]WRTF%DeV]NeRTa£S;U PTbW§FhPTcF&S\Ne?dV]Fa;gS;FhoedcS\S\cKRTF%oeRTS\FhRioS\RQd^FHV]cQa;FHG[N;PTchFhr dq ?lxKmXPTciFh©tRiweNeS\SbRTPTFhV]N^c s a t C Wd^V]d£x;W;h ww uu V`C N;S;toeV]PQoF FHv.N£wPQx WV`N;tV]PQF v.wx t C Wd^V]d£x;W;h t C Wd^V]d£x;W;whu P C V]Ne-LV`N?tVXPTFhd>v.wOx y C C C C C UUhW;S\weNeN&U cTFPQeV]S£PToweoeFHFhUS;N?P%RTP S;V]iPDd^ VXPQzoa?W[iG
(23) { sF V]c UhC S\UhS;N&S\RTo^dA)Pi_^FweVXRTFFheo)d§oeW;S\V`ciN NcTV]d^^Fhm]Fd-LTSb;P%x[?Sbx§V`m]N?m PQU_^FhW?PTRiWNeo)cTW\RQV]FHd^m`SboeFHPQRQRQV`FHV`N^N^cQaa£FHN?SP P=ciciS\weweP^U a?CP RTS;SFo UeC W?S;NePQcQWcTV`U[PQPV]PTCUw^W;FFHNN;m]cQFPDPiRTP%S;wecWbUPQ
(24) }V]>P W;C iMN Fj~qa;D S\o
(25) V]iP KGzg|iP
(26) N^ FFa q DVXP C W;wePP C FW;tkOFHUPa?S\ o s?xS PTRTFF;_\Fhcio)FhUV`Sbm]m]xVXAV]N?PTweVXPTVX;Fo C RiS\cTF*cQPiRTwUPTwRQF*V`cPTWKFoeRTFhcTFhRT\Fhd
(27) FhNeUF P C FNeFFhd&W;RDS[GW;RTF\FHRTciSbPTVXm]FcTPTRiweUPTweRTF P C S;N-cTPTS;NedeS;RTd£oeS\RicTFPiRQFhFhch DB C F-W?oFHBURTS\PQV]W;N y W?t N C V`U C LTc[S;RQF¡eS\cTFhd
(28) _a;RiS\o C V]C N?PQFHRTo)W\m`SbC PTVXW?NA_V`c[C eS\cTV]UhSbm]mXx C S¨PTRTFF¡S\d8kQwNeU Y PTV`cVXW?GN W;u v;RT¢FKa\FHN^stFh_Ri Sbm¤P C {bS;rN§vPiS\RQoeFho^Fm]V]S;Fhd8dkQwePQW NeUSPQV]oeW;SbNAV`R_
(29) eWb
(30) weP_
(31) LTW? Na;P RiC S\F[o W;cP CGFH|R NKC PS;NeFDdAW;_ANeV]PTF cS\S;oNeo^dAmX_;V`Ua;S\RiPQS\V]W;o NV]W?N?PQFhFHx^RTo)cW\S&m`Sb\PTFHVXW?RQNx cTPTRTW;NeaUW?NecQPiRTS\V]N?Ph_8NS\GFm]x P C S\PV]PF%oFHROW?RTGFHd V]NRQFHcTo)W;NcQFPTWP C F%cTUhS\NeN^V`N^aWbSPQW;\FhNAG|DV]Nea Go .
(32) r. f g> C`c`Kdz 'K. PTciW[weGP C F[V`c*¥=UW?W?N?NePQcTFPT^RiPQSbY V`¦ N;RQPhFh_^FKVXPD¢¤V`S;cDN^Fha;\wFhSbN-a\FHm]Fca\ V]PQy V`WG[_ASb)PTFF W;PQWRTFS\cTciW\m]t V]NeC aFhP PC C FHFRV`GRTo)S;W;o RTC PTS;LON;N?PTPFhoeRioRTW;W;^m]S\m]FhPQV]G W;N-W\¢¤gS;N^LTa;wecS\a\RTFHFc=m`SbciPTweVXW?tN Y PTV`c%W P B C lFcTwec^V`kONFhUPQPDFHRTW\G#P W\C AFW;oeRiRTGFhcTS\Fhm)N?o)P%WRQ=FHoFHRW?_;RQPhVXP= V]c=gW;RTP C UW?G[oeS\RTV]NeaLTcDV]P C ¥ ¦ c BDC V`cgUW;G[oeS;RQV`cTW;N ,.-. l@.9<;>=9.;@XV ;36 =13=$4A@.1;. R -/,. +251KJ:=ZX13254(6(J. BDC V]cDRTFho)W;RTPDoeRQW;FhcgP C SbP RTS;o C LON;PTFhRioW;m]S\PQV]W;N-¢¤S;N^a;weS\a\FHc=V`NeUm]wedeF¥=W;N?PQFtPQY ¦ RQFhF¢S\N^a?weSba;Fhc\q y FhUPTVXW?N-I>s _ RTS;o C LON?PTFhRioW;m]S\PQV]W;N¢S\N^a?weSba;FhcoRQW?oFHRQm]x[V]NeUm]wd^F ¥=W?N?PQF^PQY ¦ RQFhF¢¤S;N^a;wSba\FHc q y FhUPQV]W;Nrs _ LTc*S\RTF cQPiRQW?N^a\m]xFh©tw^V]Sbm]FhN?P%PQW-¥ ¦ c%W;N-P C FUm]S;cTc%W\¥ ¦ ¢¤c q y FhUPQV]W;Nsbs _ P C F V`N?PQFHRTcTFhUPQV]W;N-Wb¥ ¦ ¢cDS\Ned¡d^FhPQFHRTGV`N^V]cTPQV`UL¢¤cDV`NeUm]wedeFhcDP C FUm`S\cicg¢.¢ qTy s(q y FhUPQV]W;N¡u:s l oeRTFm]V`GV`NeS;RQxPTWP C FhcTF RQFHcTw^m]PTcgV`c%P C F d^F Q)N^V]PQV]W;N-WbS[LT_e C V]U C V]c%a;VX;FhNV`N-P C F N^FtPDcTFhUPQV]W;NA.
(33) z ~
(34) lQ0N^VXm]PTV]N^VXW?a?N w^V`a\cQPTV]\V]U[FHN oeRTC FhFHcTRQFhFN?PTdeS\FPQm]V]V]W;)NFhRiW\Sb%PTFm]xzRiS\V]o a;C N^W?LORQN;FHPTc FhRiSbom]mW;m]S\FhPQS\V]PTW;weN¨RTFhcRiNeS\W\G[PG[d^S\V`RQRiFHcUgPTmXxS;cRQa;FhmXVXFh;8FhS;N§N?V`P TN PQWu ¢S\P C Ri{\F&g| oevZ weRiBDoC W?F[cQFd^W\FY dedF Q)N^V`N^a<c*S;cDS\w^PTW;G[SbPiSe w^m]PQV`o^m]FYZV]N?PQFHRTo)W\m`SbPTVXW?N§Riw^mXFHc*DV]mXmN^W;P)FUW;NecTV]deFhRTFhdA_)W;RP C FW;RiG[Sbm¤o)WgFhR*P C FxUW;N?PTRTV Y ew^PTF V]cDFeUFhcicTVX;FV`N£P C Fo)FhRicTo)FhUPQV]\FWbS[UW?GoS\RTV]cTW;N&DVXP C ¥ ¦ c l Qe^Fhd£gW;RidW;Rid^FHR%DVXm]m
(35) FS;cTciweGFhd
(36) j=C RiS\cTF C FhS\dcS;Ned§a?RTS;GG[S\PQV`USbmweNeUPQV]W;NecDV]mXm)FV]a;N^W?RQFHdA_ C V`U C c C W*cP C SbPP C Fhx§US;N FdeFhUW?weo^m]Fhd-RTW;GoeS;RTcTV`N^aV`cicTw^FHc eW^d^Fm`S\)Fm
(37) ciwe^Px^o^V`N^a_t C V`U C-C S\c%N^WV]G[oeS;UPgW;N&W;RiGS\m0o)WgFhRh_?DV]m]m
(38) N^W\P%F G[S\deFwcQFWbO ltN^oeWS\DRTPm]FhdeRQa\W?FG WbP C FHRTcQF[S;o V`CN?PTLORTN?WtPTdFhweRioUPTW;W;m]RTS\x§PQV]W;RQN£FHGS;RiRTS\tG[ch_G[P CS\FRichoe RTFhcTFhN?PRQFHoW?RQPUS;N¨)FRQFHS\d¨DVXP C W;wePS;N?x§oeRQV]W;R #V`l N?PQoeWS;SRTcT F a? RT
(39) ]^S;c`o C ia V`cFHS-d^a\RTFFhoeS;RTNeFhd cTFhpN?FhPiRTSbW[PQV]W;W;RDN§GWb=W;RTS-F PTRTF F>
(40) V]]N¨ Ci V`U C FhdeP C a\FFhchRQ Fhm]S\PQW?V]RQW;FN o3RQFHUV`cQ KFh
(41) mX]^x;/_e_ SV]coeeS\RTRiW;cQF\Fha?N§RTS;deo WC* N V`cDSPTweoemXF "!# %$& (') +*, .-/ "01 3254 _^ C FHRQF d ! S\RTFdeV]ckOW\V`N?P*cQFhPTc%WbN^W^d^FHc q RTFhcioFHUPQV]\FhmXx-N^W;N^m]F^V`US\m
(42) N^W^d^FhcDS;Ned&m]F^FHGFHc s _ S\Ne $V`cDS[d^V`cQPTV]N^a?w^V`c C FHd¡GFHGK)FhRDW\6 _)USbm]m]Fhd-P C F a?RTS;o C g
(43) _ 78C7:9.
(44)
(45)
(46) "!$#&%('
(47)
(48) . s. ' S\Ned * S\RTFdeV]ckOW\V`N?P%cTFPicDWbN^W^d^F m`S\)Fm`c q RTFhcioFHUPQV]\FhmXx&8S;RQV`S\emXFHcgS;Ned¡cQx^GW;m]cs _ - V`c%P C F m`S\)FmS;cTcTV]a;NeGFhN?Ph_?V¸ F\SweNeUPQV]W;N¡V`N ' ! *_ z 0 V]cDP C FcTFP%Wb
(49) ]^c`ia Fhd^a;Fhch_^V F\SweNUPQV]W;N£V`N lq !s _ # >
(50) ] d i C BDC p mX2 F^V`V]cgUhSbP m
(51) FN^W^cTd^FPgFHcWb_e V¸ F\GFhGFHRTc%FHW\d^/a\! FHc_t_tRQV¸W?F;G SKC S8wetNeV]NeUPQa[V]W;cTN-V`^V]mXNV`N^a? c s q V`cDd^FdQ0N^VXPTVXW?N&oeRTFhUm]wd^Fhc
(52)
(53) ¯ h H ¯ 0 ° 2 0 `q
(54) S\ Ns d_ 2 C FhS\RTRTF FC weNeV]UcPQS¡V]W;NeRTFchm`_SbV PT VXF\W?NA_¤ "0 d^qFHN^sW\ PTpFhcyP C S\F&NedcTFP 2 q
(55) !s " p # y %4 W?$ RS\ 'mXm& s V]N LON S c q BD(C FN^
(56) {W\APi3SbPTVX W? N _ V`c%P Fd^W?G[SbV`N&W\/0 _V F\( "0 q
(57) s*)pyW?RDSbm]m zV`N , + q 00;FhRT x ~2 N^s2W^13d^-F§q
(58) Fs^4U) Fho^yP&P W?C RDFzSbm]RTm3Wt¨W\P V`NC S;6 c5F^ S;$ U&PTmXx ! W;N^ FV`G[GFHd^V`SbPQF¨d^W;GV`NeSbPTW;R.-£;x /0 [2 _DV F\ , + W;;RDFhS\RTmXx£mN^7¤W^V`N d^F*! V] N ! V`cS-cQV`N^a;mXFU C VXm`dDV]P C N^W-d^FHcTUFhNedS\N?P_0V F\"0 q87s9) 2 q87s9) :2 13- q87s;)=< R -R + 2C;368D^9<;=$134A@.B^2;3D^@.9 lSdeoeV]SbcPkOW\C V`V`N?N;PPTFhoeRiS;oRTW;cTm]FS\PQa;V]RiW;S\N o UC W;Ne? cT> V]cTPT) cV] NK o^> m] "we! a\>a\2 V`N^@ a* 3' V`N? (PQ*,W %-S*> oe "S\0 Ri>cTF "2 a;> Ri4S\o ;C x ci- wee) cTPQ V] PTw^- PT 3V]! N^a- %S$ - oe 3' SbP (C *, %Wb- - "0 > - "W;2 R- S 4 NedeWtFdQ)deN^F%FHAd&Wb? x& I- N^P W^C d^S\FhP*c%V]cW\ US\ mX> m]Fh_Bd¡@\_tP PC C F F cQ W?c`weKRTUFW\W\PP CC FF V`oeN?S\PQP FHC RTo)qW\ m`SbC PTV`UVXW?C NAV` cgBDP C C F FKRToeWtS\W\P PgC WbP C Sb> P*s V`_DcC _^ciweP C eFcTPQPTV]PTS;weRQa;PQFhFd§PW\V]c P|C DFV`oeN^S\a-P CPQW_S;oeNeRTdEW;o)@ FhF RT_ePQP V]FhC cFWbcTwU0 U>FHcTS;cTW;NeRgd W\2 G> @ qV`V¸N£ F;P KC FF tV`V`N?cTPQPQFHFhRTNo)UW\Fm`SbWbPT=VXW?S\N&PoeGS\W;P cTC P> W; N^FV]G[GFhdeV]S\PQFd^W;GV`NeSbPTW;RW;R. SP;C N?Fhx[RTF NeWtdeF F Fs e_^S\P CUPTFhmXRTx&FW;V]c%N^FSbP%oeGS\P W;C cTP=qW\W?N^m]FFhN^oa;SbP P C C RTW;W;GHR%G@W;PQRTW:F sC RTl4W;GUW;@ NecTPQPTWIRiSbC V`N?PW?N&oeS\P C V`N?PQFHRTo)W\m`SbPTVXW?NV`c=P C SbP BDC FhRTFS;RQFI[Px^oFHc%WbV]N?PTFhRioW;m]S\PQV]W;NA LON¡S abKGJ ] ^ _
(59) 6_ @ 2@LF 4=V`c%V]N 0 > l d^W*NtYc C VXP C S;c%P C F F0FHUPDWbS[PTRTFF S\dkQweNeUPTVXW?NA N 2 > l RQV]a C PQYZc C VXP C S\cgP C F F0FHUP%Wbc C V PTV]N^aScTV]^m]V`N^a[Fhd^a;FW\ LON¡S >
(60) ] > _
(61) _ @ M@ :F 4=V`c%V] - weRTP C FhR*RTVXa C PgV`N-P C FRTFhciw^m]PQV`N^a[a;RiS\o C LONS\N:N ] ^ _
(62) _D@O)0@LF )C BDC FDF0FHUPW\AS;NPNTYc C V PV`cPQW V`NecTFhRTPS cTw^a;RiS\o C SbPP C F*S\NU C W;RQAt ^]¶ZnT·Ti8S.R ¸9ryTµT¶Zl.¶ Tnz`.S~ WUTi{}VGV#WY|3\2^nTX[X[Z3V}S (Z]^\MV#XX[iU9w=^^]i]SOS_UT` _yT¹b` k¹bVkadcfUadecfX» eY`.»³~Gµ X[V#.\ ZsL^nTX[S VkS UTi]zVbV? mTgh{ i] Vs{ XudOV#{ i\ji]Vki]USSM^^]S VkU(½ ~ l.µ i8_ \Mµ8mTZµQnp¶Z¶oq`.nT~Q/V S.Ti Vsr¶¸Vk·Tiq8ZVsµQr¶ZVk¶ i`.t(~qmK^]\2SO^np\#ruvS.iX[S.UzwxkS^]nTLVQudyTiZ]S X[SSMT^ Z^]SboghX ^nYl.^]S nLVkVZ M \Mw9mT[VkZ SMuX ^]Vki]mfS.\2^X[S TZ\Mi]VQZ]nLS?o S X[l.yLi]V;.{. Go .
(63) u. f g> C`c`Kdz 'K. ¦ W;RiG[C Sbm]mXx; _hS\NV`N?PQFHC RTo)W\m`SbPTVXC W?N¡V`cCSgwNeUPTVXW?NP C S\PG[S\oec¤S%PTweC o^m]FW\tP C FW?RTG C - > 2A #C"40PTWSDC oeS\RicTF a?PTFhRTRiS;oo W;m]S\PQV]W; Nq]AoeSbV]c=P C P s F¢¤S\FNP U W;RS;W\Ne
(64) d P F> V])N?F*PTFhd^RidF oQ0W;N^m]S\FhPQd[V]W;S\NAc_?S;S\NeWdI;F\C_bP P C FFhNPiS\RTa\ F)Ph_;V¸ F\ 3P ! F %Fh$ Ne d 3o' W; (V]*,N?P %-_?Wb "
(65) 0 P F "2 V`Nt 4Y V`NecWtd^deFdFQ0P N^C FhSbd¨PDS\V`G[cGW\Fhm]mXd^WV`*SbPTchF_m]xC -W\Fhm]RTm]FW*@cpV`c@P V]CN£F[P C RTW?F W;V]PN?PTW\Fh RioW;> m]S\qPQV¸V]F;W;N£P oeC SbFP C V`N? PQFhRio)W\m`SbPQV]W;NzcQW?weRTUF sS\Ned @ FV`cP C F ) - 5 LA & > ! ) !- !> $ ) $ - ) -- ->. 0 ) 0 0 > K
(66) O/_ - X _~ m `c d d
(67) ^_ 5 " " 2A&@ 44
(68) $ A 4b$- & 0 & c`ia /_5X _~ m c` d ~c`i- a /_A
(69) {abKJG ] ^ _
(70)
(71) >
(72) ] > _
(73)
(74) 5
(75) A # # 44 A #$ 4b$- & 0 S\Nd qq" @ M@ F4b$ - 0 > S;Ned6)hCs W;R q" ]@ 2@ F 4$ 0 > S\Ned ) @ ss &. - > 5 " " 2A@&44 " $ 2A 4b$- & 2 & >
(76) d i /_5X _~ m c`- d Ag
(77) . i +^_
(78) >
(79) ] ^ _
(80)
(81) /abKJG K] _
(82)
(83) 5
(84) A # # 44
(85) A $ 4b$- & 2 S;Ned q^q3 @ 2@LF4b$ - 2 > S;Ned )hCs W;\R q" ]@ M@ F 4$ 2 > S\Ned ) @ s^s &
(86) «G ¯ ¯ h h ¯ y\ W\m] mX W * c \P C Sb¯P P C F¯ W\ P C hFh8R Boe Sb V`Ric -W\S\cQNeFhd PTc S\> RTFKS\d^RTF&V`ckOd^W;V`V]cN?kOW;PV]N?PQWtPW__V a;F\VX ;Fh N§!- UW;Ne cTPT> RiSb)V`N?PT<c*W?qNzRQW?oeG S;RTcT FC a?V]U RTCS;o VXC P Fhd^a;Fhcs }^#" « $ ;
(87) & %\ ^L ¯ ¯ h > V`cDGW;N^W\Y¸m]F^V`US\mXV pFHdA_tV F\( ! > *) y; ). 2 2 2 _
(88) < i ^_5X _~ m ` c "d _
(89) d i /_ . 78C7:9.
(90)
(91)
(92) "!$#&%('
(93)
(94) . Ie W \¯FHR q « $ ¯ ! sh\_ V`cD V]N¡ P C - FV]cRTFmXFa?w^PTm`GS\R%W;cTm`POS\YZN^mXFa?^weV]SbUha;SbFm]Vph! FhdA _?G FHS\q N^BDV`C N^FaUP W;C NSbUPFhVXoePicPDWbRTW;N?RQPQW?V]FhN?RhPQ_\V]FhV¸RD F\V`cVXPid^cFQ)xtV]N^FFHm`dd - GW;RTFoRQ- FHUV`cQFhmX- xV`N£P C FNeF^PDcQFHUPQV]W;N
(95) s r P C F¯ RT W; N?« PTVXFH R%¯ Wb h8> B_^D V] P C &VX;V]FhN NI! > ¨S;P NeC d F*KRTW;S\N?NPTd VXFH RW\V`N - >_tD_^P V]CP C F &RTW;V`NN?PQ! V]Fh- R%S\W\N d zC V`NS\cD oe- RTFd_^QeS\ Nd ¦ V]a;weRTF[yVXm]m]wcQPiRTS\PQFhc%P C F P C RQFhFW?RTG[c%W\V`N?PQFhRio)W\m`SbPQV]W;N
(96) . . . . . .
(97).
(98). . . S S. S. q A. N. +. s=s’=t A. −>. N. a. n. s V. S. N. V. n. V. A. v. a. A. n. N. q V. n. v. +. a. V s’= t. A. −>. a. (a) epsilon−shift. (b) down−shift. S. S s V q V. N. N. s’ S. +. −> v. N. N. V. S. n. v. N. t V. n. V. N. (c) right−shift. ¦ V]a;weRTF[y BDC F P C RQFhFPxto)Fhc*WbV]N?PQFHRTo)W\m`SbPTVXW?N ¯ ¯ ¯ > C C PTPVXC W?V]F&\NeFHcd^N¨FQ)W;S-RN^PTV]P PQRTCV]V`W;o^FN mXF S\d^Ne W?U CG[- W; SbRV`N A #WbC"D4DV]_
(99) P V]PCN?PTFFhRTFhRiUociW;oW;NeFHm]S\UcTPQPTPV]RiW;PQSbW¡NAV`N?£PPTCclFkQcKwem]cTS;SzP cQPGFhNtm]S\FwePQ^GPTFhFhGFhR RiF[W\SbgPTWbFhdzS; URTPh- Fh_GcTV PTA£ RTV` V`UcP- FhP VXP C F> Fh cTRAF #PS;C"N 4Wb%V`S\coNePQW?UWFhcTcTcT)PQV`^W?FmXRm]F[W;W;N^o)Ra¡W;S;cTPQVNW Y V`G[GFhd^V`SbPTFcTweUhUFHcTcTW;R=WbP C F m`S\cTP%mXF^FhGF Wb - _)S\c%P C V]c*cTFhUPQV]W;N-DVXm]mS\PQPQFHG[o^PDPQWoeRTW\F T|3S.nTi X[Z UTi]VsVk^]Z\MyTX[ Z^ SUT(SV#^]Z nTV}TSMmf^qS.X[Z]w9ZX mTT[t;V?ud^S.nKi]\2w9^qZ3^]nTSMVkuDi^VQnTX[VQZuv\biSZ]X T^X[l.Vk[i VQSM8u nLS.X[#VQZSMV#uVjQu V#vsS.^i X[Sl.AX r/VL { R \ TU 8{ . . . . . Go . . . . ! " . $#.
(100) |. f g> C`c`Kdz 'K. « ° ^ « ¤; « h ¯ BDC FN^W;PQV]W;N£Wb QV`G[CG Fhd^V`SbPTFciweUhUFhcicTW;RKV`c*d^FBDQ)C N^FhdS;cgW\m]mXW*ch¢FhP C )RTFFm`SbP PTVXW?FN&TciUweW;UG[UFhociW?cQcQW?V]RPQV]W;N-RTFm`W;SbRhPQ_^V]W;FhN-©tw^V`V]NSbSm]FhoeN?S\PQRim]x\cQF_Fha?d^RTa;S;Fo UW;Ne_)UhSbd^PTFFhQ)NeN^S\FHPQd£V]W;S;NAc% s W\m]m]W*c q FW?oFHRTS\PQW;R d^FHN^W\PTFhc ) q^q 2:1 o- s 01 - s 2
(101) 0 BDC C C VX FhNA_)P F !TzV]G[V`G[Go^FhdemXV]V]FhS\c*PQFP C ciS\weP UU Fhci) cQW?£R W?RQR;Fhm]'S\PQ) V]W;
(102) NA_)N^W\PTFhdS\c _ W\m`dec*)FPgFFHN S\Ned VXS;Ned£W;N^m]x - ¸ ¯ L « BDC V`cRQFhm]S\PQV]W;NG[S\\FhcKVXP[oW?cTcTV`^mXF£PQWd^dF Q0N^F-P C F-RQW?N;PTVXFHRW\SzoeS;RTcTFa?RTS;o C ) 3! "$& 3' (*, .-/ "0 "254[GW;RTF§oeRTFhUV]cTFm]x P C S\N %S\c&d^W;N^FzV]N P C F¨oRQFh?V]W;wccQFHUPTVXW?NA ¢FP FH©tweSbmG L $ ! 0 q
(103) sQ) < & V]N RTW;N?PQV]FhR q s}) H $ $S ;Ned # $ 0) 3 & BDC FRTW;N?PQV]FhBDRKC WbSzoS\RicQFa?RTS;o C V`cS¨cQPiRQV`N^C azUW;N?PTS\V]N^V`N^azS\mXmgWbS;Ned W?N^mXx V]PTcPQFHRTGV`NeSbm%N^W^d^FhcV`N W?RTdeFhRh q Fd^FQ)N^V]PQV]W;N£Wb! V]G[o^m]V]FhcDP SbP% P4) : s ¯ ¯ L ¯§® z « « b* ¯ « « $
(104) « « C PP CC FFcTV`RQN^W?a\N?m]PQFV]Fhm]RF^UFhW?GNecQFPiRTWbS\ V]N?P > sUhLPS\NzDV]W;mXmAN^m]N^xzW )F[)ciFSbcPTCV]^c WQ*FHdzN[PVX;C SbAtP_P P CC FFUS\W;N¢NU FcQC P#PiW;RT"-S\Rh_AV])N?V]Fg!Pc P " S;N¨F%&m`S;S\Ne$+cTUP¤qFHm] cQFPT^C W;FhV]RU GC W;FgRRQWbFHV`cTG[weGmXPi- cFHS\d^NeRTV`d%W;SbPQG $ F ciS[weUUhW;UN?FhciPQcTFW;tRP W\ '"P C BDS\P*C V]Uc=W;NP C cQV`FcQW;PiRTc%FhWbG Sd^WtcTFHV`N^c=a\N^m]W;F P=N^UW;WN?\PQFhFHRRTGP C V`FNeSbV]Nem
(105) VXNePTV]WtS\dem0"F V`N?q PQy FHFHRTUo)PQW\V]W;m`SbNPTVX}eW? Nr s cQ PTFhoA_? C V`U C cTPTS;RQPicRTW;G ( «t¯ « _ ! - A U
(106) m Aab a _d - > 2A #"C 4 K m" _ A ~di
(107) }3~ c`d
(108) Li a
(109) {" 'Kc c /_
(110) }3
(111) ()> /_ n onion(d
(112) " `
(113) iK" >
(114)
(115) ()>d""i
(116) }3<_ K
(117) d~^_ <di
(118) }3 A:h $ q 2 - 13- 0 - 1 - s q*"s " - A '>
(119) C3an + ¯
(120) ¯ ¯ ¤
(121) ¤«zBDC FUW?NecQPiRTS\V]N?P ",-$UhS\N FdeFhUW?G[oW?cQFHdS;cW\m]mXW*ch_ C FhRT F S\Ned S\RTF NeWtdeFhc%Wb " .0/2')143 /21 9) . 5 9) 5 $ 57648 5 8 C C LOP N&C SbW;P;Rid^@*FhW^RUhPQUWweo^mXW^V]FhUcS\PQV]NFA DP VXPC FRTo)FhW;cicToV]FHPQV]UW;PgN[PQ:WP C "Sb_^Pb=AFW^DUUhVXwem]mo^mXV]W^FhUc=S\V]PQN F @\_t P FW?RTRQWtFW\oP=RQWbFH UV`cQ>FhmX_^x;S\_\NeP dC FP C weFHN^N&V`©twew^cT,F F0 P C F 2 S\UPY oRTSbW;P G C $RT W;PQG W $@;- PQW'A£UW;N?PiSbV`NecP C FciS\GFN^W^d^Fhc q d^W*N¨PQW'- A-VXPicQFhm s S\cP C F[wN^V]©tw^F 0 2 - YoeSbP - C eW _gS;c[P C F§RTWtW\P[Wb > _;@zd^W;GV`NeSbPTFh; c $_% C V`U C V]G[o^m]V]FhcP C SbPV]PmXV]FhccTW;GFh C FhRTF¡W;N S oeSbP C C U?W;x N?0 PTS\ V]Ne V]N^2 a, $ _ ¨_*_bS\Ned%$ q V]NP V`cW;Rid^FhRs _bcTV`NeUFgF;FhRTxNeWtdeF C S;cScTV]Nea\m]FV`GGFHd^V]S\PQFDd^W?GV`NeS\PQW;R y weoeo)W;cTV]N^a @¡oeRTW;o)FhRTmXx d^W?GV]NeS\PQFHc _P C FhN )6C _W?RKP C FoeSbP C RTW;G @£PTW W^UUhweo^V]FhcP C F o$em]S;) UF*$ W\ ¤ s[S\N1¥=W; N?- \FHN^RTW^cTd^Fm]F;x\_?_DNAKS\GWtUhFUm]wexIoeAtVXFH_?cDW?NP C P FC oeFm]oeS;S\UFP C Wb RTW;G V]N $ - PQW:P"C FhRTq*<%FxW?RQd^FFdAQ)Ne VXPTVX W?NWb S; N« V`N; ¯PTFh Rio¯ W; m]S\"PQ V]W;NA_ >- = . . . . . !. $. . !. . . . . . 78C7:9.
(122)
(123)
(124) "!$#&%('
(125)
(126) . {. DB C FciS\GF UW?NeUm`wecTVXW?N-UhS\N£FC G[S;d^F V }@FH©?wSbm`c ¨C C LZA j@K[V] c d^W; GV` NeSb« PT°Fhd ^? x« _)\= F « h S8¯ \ F¯" " @\_w RQW?G V`U V]PDW\m]mXW*c*P C S\P " AV`N - BDC FhRTFW;RTF\_ R -. 7:9<;>=?134A@.B/2C;3D/@<9 1KN(B/=. l
(127) {N bV`N?
(128) PQ_;FhV]Ric=o)S W\m`N^SbW^PQV]d^W;F*N W\Ri w^?m]F> V n`c¤w^Sm]FPTweVo^]m]c=F cT S\5V]d PQ>W #GC"4 S\_PTU C C FhSRTFoe S;RTV]cTcFDSa;8RiS\S;oRQV`CS\e mXFV`VXNP ' C F*S\V`NeN?d%PQFhC Ri_o)P W\C m`F SbPQiV] KW;
(129) {NweNUPQ
(130) V]W;N V`BDcDC d^FFQ)N^S;RQFhV`d-S\^W?m]FR -V]c ?Uh>Sb 2m]mXAFH #d§C"4P CW;F RDc`cTW; KG
(131) {FY)bA
(132) G3V`N
(133) -
(134) {-d1 - q\Wbgs P C FRiw^m]F\_ ?> V]c - UhSbm]mXFHd§P C F aabd a' _¤S;Ned¨S G[S\PTU C V`N^a - P C F c K
(135) {)
(136) PTW C V]U C P C FRTw^m]FV]cS\oeo^m]V]FhdA q
(137)
(138) «E¯ H ^ ¯ BDC PSC oFFS\S;RiUdecQm]FFhd^S;FhPiRQNRQFHFhdecQF\weP=_G£g _?S8C xS;V]cU WbC W;N V`RQc*FH¦ oeV]PTV]RQa;cTFHFwecQmXRTFHF N?SPQy\V`RQXN^FHaK|oeRTS\N[FhNcTP FhC V]N?N?FPQPTFHW\S\RTPPQo)CV]W;W\FhN-Rm`SbCWbPTVXS;W?NeSNdAUV`_?N;W?cQ;N?V`NeW\PQFm]U\^FFHPQScY SRToeFS\}FRiYZcQd^deFDFHV]Ga?RQV]RTFhS;NSbo PTcQC VXV]W?W;V]NANec=S\_S m)S\RTNRQFhFHoeoeS;RTdeRQFhFHd^cTcQFHFhFHNeN?N?dePiPTSbSbwePQPTG V]VXW;W?N[NKUS;W\W\N )cTV`Fd^FRTFhUoeW?RTNeFhcQcTV`FhcTN?PQPQV`N^FHad&WbS;cDP SC F¥ ¦ UW;d^N?FhPTFRT^V]8P*S\PQoeV]SbW;PTNAPQFHRTBD N C wech_0_eSS[cQRTFHw^oem]S\F1RiSb 5PTV]Ne a[> RT #V]C"a 4gC UhPDS\S\N£RiRQWF RT_eFhS;oNeRQd¡FHcQFHSN;RQPTV]Fha d-C POS\Y cDC S;SNemXd-FPOcTYV`d^C FS\NV`Nd W?N C V]¦ U C V]a;w RQ> F¡V]c yRTUFhS;oeN RTFhcTFhF&N?NePTFhW\d§PQFHS;d cS\S-c mX
(139) FPT GW;qcT P d^)9FhRT V]8S\PQ3V]W;s NA&_A¢¤S;V]Ne\d FDCV`cQV]cF;_d^P W;C PQF&PQFHd^dAW *¦ NtW;YRc C FV ePS\G[UhS\o^N m]F\)_AFP C N^FIW\PTNQFhYcd C V S\Pc ' q ' 9) ' ') ' 3sgS;Ned£P C FRTVXa C POYc C VXPDS\ c ' q ' 9) ') '~ s. R -. 0&13254(687:9<;>=?134A@.B/2C;3D/@<9E0&132GFHFI251. O-/,. ! =#" 9UD/;D^@.9@XV+0&13254(687:9.;=$1K4A@.B/2C;3D/@.9%$~2G9UZ.N 25ZX=?J. lRiw^m]FhchRi_ S\'o C S\LONN;d PTFh*RioW;S\m]RTS\FPQV]P W;C N Fm`S\RT)S;FGmG[cTFS;PiRc V`weccQFHS&d¨Piwe?o^x¨m]F P C FH')cQ +F*,Ri w^ mXFH c)_4 S\_¤Ne dC FhRTFV]c S¡V]GcFhS£GcQFhPFHRW\Wb V`N;' PTFhRiUoSbW;m]m]m]FhS\dPQV]W;P CNeFc )b lD%PV]P C P C P FC FcTPTSS;^RQPV]W;WbG£= S¡LT d^FHRQV]SbPTVXW?NA_P C F c K
(140) {)
(141) V`cS-cTw^a;RiS\o C UW;NcQV`cQPTV]Nea&Wb=W;N^F[N^W^d^Fm]S;FhmXFHd +xtV]S\FUm`d^C V`N^cTPQaFhoSG[NeFS\ PTU UC W;FHN?cPTSF^RiPw^ mXFDW\4DV]P C P C FUW;N?PQF^PS\NedS;oeo^m]VXFHcP C FUW?RTRTFhcio)W;Ned^V`N^aV`N;PTFhRioW;m]S\PQV]W;NA_
(142) ,¡ K b ,5 ** ¤ !# ( ¢¤P C FFPS;W;NRiG LONcQPiS\N?_^PTDS;V]N^P FC W?wec'P C&FFHcTxtUhV]RQFV`m`o^dPTVXWbW?¤NP C FF*Ud^W?FN;Q)PTN^FFH^dP S\ cSLON^PiV]wePQo^V`Sbm]F5m]mXx; _ U4W;_;Ne cTV]C cTPTFHc=RQFDWbP C SFcTcTV]PTNeRTa\V]Nem]FaN^PTW^Wd^oeFS\m`RiS\cT)FDFV]m]cmXFHW\d . Go . .
(143) yH. f g> C`c`Kdz 'K. DDV]V]PP CC P mC FdSba ^q VXW? G-sQ_8) S\Nmda V`q c
(144) FHs Goe§Px\l ¤lcQPiN RQV`V`N^N;a PTFhRioW;V`cKm]S\S;PQUV]W;UN Fho^OqPT3Fh d ? x> S A C"LT4^ s}) V S; oeG[o^m]S;V]UhoeS\c ^ m] F V`N; PT4FhRiPQoWW; m]S\PQV] #W; Ne4 c _ C C ma BDC C ¢G[S\S;N^o§a?weP SbFa;FV`N^W;V]PQmXV`m]SbWm*L cg& V]N£PQW P C FUm` 2S\N+ci4 cQ_AV`UDS\VXmP gS8x; q s})
(145) K F[d^FQ)N^V]PQV]W;N¨Wb=S¡RTS;o LON?PQFHRTo)W\m`SbPTVXW?N . . . . 0&13254(6I7b9<;=$134A@<B/2C;3D/@.9 $ 2G9 Z.NU2CZ.=?J G2 J+2 J>N 4A=$1 B/2GJ>J+@XV h@.9<;= ; 13=?= $ 2G9 Z.NU2CZ.=?J %( m !$/# l
(146) c K
(147) {i i
(148) }3
(149) i c c 3 o a m " ` K
(150) {
(151) ( "n O-R. t« ¯ « N + ¯
(152) ¯ ¯
(153) « lN?x ¥ ¦ ¢ N^W;PUW;N?PTS\V]NeV]N^azP C FcTPTRTV]N^a N[US\N Fd^FHcTUhRQV`FHd?xS§a?RTS;GG[S;RV`N
(154) RT FV`eS;-U C_^DeV]PW;C RiG[ SbmV]N ¦ 'W;Ri_G-_V`V¸N F;*§_)SzS\Ne¥ d¦ -zV`N ' ' (*, )4 V]N C V`U C F;FhRTx¨oeRTW^deweUPQV]W;N V`cWbDP C FW;RiG B WC ew^V]m]dS§LT FRTW;G"S(e ¦ a;C RiS\G[G[S\C R _UW;NecTV`d^FhRFhS;U C oC RQW^deweUPQV]W;N¨S;c S§LT Riw^mXFC ciwe^W;PicTRQF=FhFUW?W;N?ePQPTFSb^V`PN^FHoed¡SbPTV]PQN§FhRiS£N¥UW;¦ NecTV]YcTd^PTFhc¤RTWbVX)S\P PQV]FgW;NmXF?POx£Y ciS\weNedcTPQcQV]V`PTd^weFgPQWbV`N^ a&_bP S\C NeFdKRTVX a C POW;Y cTC F=S\S;Neded¡d^cTFhV]NdedeFweG W;RRQPFHC oeFRTFhmXcTFFhN?POY PTC c¤S\P Nd F cTcTV`x^d^GKF\_0)FW\em UFHo^_ P*P C $ SbP'P C F*mXF_S\PTGc%c W;C cTWP*cTx^N&GKV`N )W\¦ mVXa?W\weRQP FC F}e RQV]a C POY C S;Ned¡cQV`d^FKV`cRTFhoem]S;UFhd?x£P C FoeRTFPQFHRTGV`NeSbm. .
(155) . . . . A. . −> A X. B1. .... Bn. a. ¦ VXa?weRTF } =LTpRiw^m]F ew^V]mXP%RTW;G P C FoeRTW^deweUPTVXW?N
(156) BDC FLT P C wecew^V]mXPV]cSPTweoemXF '%F (*, YF )4 _) C FhRTF'%FFH©?wSbm`c#' & S;Ned YF
(157) V`c*P C FcTFP*W\ LdeP[FhLTRTV`VXcYSbRiFhPTw^S;VXmXcQW?FHx N&ckQPTW\weW cTP*oeRQd^ WFh;ciF£URT?V])xFhd
(158) V`Ne dewUPQV]W;N P C SbPP C F§d^FhRTVXS\PQV]W;N oRQW^deweUFhd ?xP C V`c-LT V]cSm]FPiGW?cQP LOcTNFhN?d^PTFFhFHN?dAPQ_;V`SbV`N^mV]PQW?V`SbRTGm]mXx;_;W\P C F UW;N?PQF^PUW?NecQV`cTPTcW\SN^W^d^F*m`S\)Fm]Fhd g_? C W?cQF*xtV]Fm`d[V]cP C FHRQFW;RTFS m]FPiGW?cQP y weoeo)W;cTV]N^a&P C Fx?V]Fm`dW\P C FUweRiRQFHN?P*UW;N?PTF^PV`cSm]FPiGW;cTPcTFhN?PQFHN;PTV]S\m
(159) W?RTG _ ¨V]N * _ PV` N C Fh[N_)P S;C NeFhRTd£FDP DC VXV`m]c*mRi)w^F*mXF S\NDS\V]m]oem¤oeG[mXV`S\Uo£S;^P mXC FFKULTW? N;PTRiFw^^mXP%F%PQVXW&S;S[NedUW;W;N?N^PQm]FxtPDVXA P C C FHW;RQcTF%F V`x?cV]SFm`oed£RQW^V]cpde wUPQV]W;N- - > - _)V F\ Sm]FPiGW?cQP*cTFhN?PTFhN?PQV`SbmW?RTG W\ w. . . . . . . . . . . . . . . . 78C7:9.
(160) y;y.
(161)
(162) "!$#&%('
(163)
(164) . # b ,¨5** !#( ( «t¯ « 3~cd \/_ !X K
(165) {)
(166) ]#? C 'Kbd U X 3d m i cd 'Kab a~i +
(167) }3Ac \^_~ d K
(168) {d3
(169) C 'Kbd n + ¯
(170) ¯ ¯
(171) ¤« C C C ¦ cLOTN?W;PTGFhFRioW;m]LTS\PQV]_0W;VXN£PRQFHRiGeS\G[S\WV] G[Nc*S\V]P PQRiW-c%eS\c Cw^c WP) NeFFHW\P N PDC Sb?c P*x¡WP ¥=C*FhW;N¨RTN?FKPTP FS\^SbRTPOFP Y ¦ m`FS\RT;FN^FhFa?RTwexSbRT¥ a;S;FhG[cD¢ G N^CS;W\RTV`UPchC UW;US;N?N¡PTS\V]N^FV`N^RQa'FHUNW\a?V`cN^V RTpFhFhUd¡W;a;?N^x¡V pFHRidzS\o?Cx BDC Fm]S;N^a;wSba\F C _ C V`U C V]cS§U& m`S\cicTV]U[ F ^S; G[& o^mXF&Wb*S§UC W?N?PQF^PQYZcTFhNecTV]PQV]\F[m]S;N^a;C wSba\F;_¤V`cKRTFY URiw^W\a?m]FhN^c VphFhd ;x P FzLT k 6 )4 _ FHRQF UW?NecTV]cTPTcWbP F£W;mXm]WDV]Nea qQy s q
(172) PN s q¸:} s q
(173)
(174) . s q >I s q s qrs q s q¸:s s q s lp}YZdeV]GFhNcQV]W;NeS\mARQFHoeRQFHcQFHN?PTSbPTVXW?NW\¤P C FhcTFRTw^m]FhcDS;oeo)FhS\RicgW;N ¦ VXa?weRTFI . . . . . . . . . . . . . . S (1). −>. .. S. −>. S. A. S. a. D. B. S. (3). −>. A. (2). C. S. a. . B. S D. .. B. S. .. B. C. b. (4). −>. C. .. C. D. c. (5). −>. D d. ¦ V]a;weRTF I LT RTw^m]FhcgW?R C C FPlCec&FUm`oed^weRTWcQW^V]*\deFhN^wemXYZx¡Uc PQC V]PTVXW;W-NPUP q¸C qQ}:F[yss[V]S\N^RQoV]FHo^PQ©tV`mXSbw^xmV]RTFUFheW;cUN?m]PPQweFcT^FzV]\PF om]RQxK|FHcQPTN¨FHWKNeP P UC C FFFW\W\G P CV]dS;FhNd^R mXF C¤S;¨YZNeNeWtWbdAAde_AF§P P C C V]FFN oePRTRTW;FtN?FzV]PTW;VXUFHweW;RcN?UPQV`FN?W;tPQNeFHP[cTRTPTo)RiRTSbW\W;V`m`N?N?SbPTPPTVXVXFHW?RTRFhNA_%©t_;w^V]V¸P&V`F\RQFHS\coeP CoeP CF mXV]SbFh Pc PW\C ¤SbP P=C FV]c=weS\N^NV`©tV`G[w^FGd^FhFhd^RTV`V]Sb8PTS\FPQV]ciW;weN-UUWbFh cicQW?R q ?x Ysw Wb
(175) P C Fm`S\cTPmXF^FhGF\ ¦ VXa?weRTF*rKc C W*cP C F Q)RicTPP=WcQPTFhoec . Go . . .
(176) y8}. f g> C`c`Kdz 'K. =>. S. =>. S A. S. a. B. D S. C. S A. S. D. a. A. S. a. B. D S. C. B. S. C. ¦ VXa?weRTFr LON^VXPTV]S\mLT d^FhRTVXS\PQV]W;N£cQPTFhoecgW?R #
(177) , ¡ , !#( &FdQ0N^FS ]{
(178) d``a ¥=W;N?PQF^POY ¦ RTFFRiS\G[G[S\RPQWFS¥ ¦ UW;N?PiSbV`N^V]NeaKN^WoRQW^deweUPQV]W;NW\P C F*W;RiG
(179) BDC Fa;RiS\o C V`N RTFh CoeRTC FhV`cTU FhC N?PT4S\PQW;C V]W;R NecW\V]cgS§PiRQFhN^FhW?c N^a;FhG[FhN^o^FHPRTx S\PQcTFhPTdRTV]?Nexa§S§V]N }y qY¸'0PTVXFH RQFH*Od s ¥&S¦ \Nd W?FhV]x¨cPS§C FPQFHRTUGW?NeV`NecTPTSbRimgSbV`cQN;x^P GP C W;Sbm P m]S;FN ^V`S\URiS\^m0VXN^PiRTW^S;d^RQFHx c ¥ S8¦ \ FNeFV]P) FH Rg' de (*,Fhci U FhN )de4S\N?}8PTYZcgPQV]N^FhW?RTFhR=dcTV]V]ecmXV`PQN^W a;\c q
(180) FhS\UdePQdV]W;V`N-N;PT}eW Xy;' Xy s S§l4oeRTcTFV`PTGFhRioeGmXFV]NegS\S8mx[cTxtW\G¤G[W;S\m ?V]Nea oW?RQRW^deFhS;weUUCPQV]W;N V`N *_ i §
(181) ciW?weRecTFHPQS\V]UPTCw^PTFzV`N *W; R BDzC V]F&NRTSbFhm]cimw^oem]PQRTV`WtN^da¨we¥ UPT¦ VXW? NecWbF RT[FhG[_¤S\S\V]NNed cKU im]iW;
(182) cTFS;FhdeN^d¨W?w^V]N?a PQC W PT W§PP CC FF W?V]PTRQcKV]a\UV`W;NewS\N;m)PTa?FhRTRiS;oeGS\RTG[P S;R FPiRQFhW;F\RD_S\S\N?NexdcTFhtG[V]UFS\N?\PTFHV]URTciUSeW? G[BDoeC w^wePTS\chPQ_V]UW;W;N&N?W;\N£FHRTScTV]W;pN§PTPTRTWzFF}8PQYZPQWV]FhG[RTFhS\d¨o£cQW;PiRiRTG S\VXa V`CcPOcTW;FhG[RT%S\S\N?RiPTd^V]UhmXxSbm]PQmXxW NW?eN§Fhw^P PiC RTS\Fm _tUm`S\S\Necid&cW\VXPgDcQ¥ FhFh¦ G[¢¤c=ch_
(183) P CFh\FHRQFhFNzW;P RTC FW?m]w^Fa a\C V]PQV`P G[C F[SbPTdeFFhPQRTW[VXciSbS8PTxVXW?P NeC cSbW;P*^PiSbLTV`N^c=Fhd¨S;RQDFV]cQP PiC RQW?S¡N^a\m]xLT Fh©tS\w^RTV]F8S\N^mXFHFHN?UFHPcTPQciWS\RT¥ VXm]¦xz}8cY PTW?VXN&FHRQP FHC dAFULOm`NKS\ciP c%C V]WbccQ¥FHNe¦ cQ¢¤F;_bchP C F=W;mXm]WDV`N^aP C FW?RQFHGpS\cicTFhRTPTcP C F*cTPTRTW;NeaFH©?weVXSbm]FhNUFgWbLTcS\Ned¥ ¦ c %( m(' 1d'K'> ]{
(184) a!$#O
(185) c`3 K i
(186) }3Ud(
(187) mU
(188) i Ac " b a ( «t¯ «
(189) { X
(190) iK
(191) Oc 3
(192) 'Kcd
(193) )>c
(194) m"
(195) iKA "! # abdiz
(196) K h
(197) iKA "~i '
(198) n + ¯
(199) ¯ ¯ ¤
(200) ¤« ¥=W;NcQV`d^FhRP C FW\m]mXWDV`N^aKoeRTW^UFHdeweRTFDW;R=ew^V]m]d^V`N^aSLT F ) ' (*, YF )4¤RTW;G S}Y¸PTVXFHRQFHd¡¥ ¦ ) ') +*, 4 y\ ¦ W?RFhS;U C S;RQV`S\^m]F V`N '_*weN?DV`Ned Sbm]mo)W;cicQV`^m]FmXFPTGW;cTP-deFhRTVXSbPTVXW?Nec?x a?RTS;G[GS;R cQPiS\RTPQV`N^aSbP weN?PTVXm
(201) FhVXP C FhR
(202) P C F FHG[o^Px-cTPTRTV]NeaV`c*d^FHRQV]\FHd q 9) dN s _ i
(203) P C Fd^FHRQV]\FHd cQPiRQV`N^a C S;cS¡m]FPTGW?cQPPTFhRiGV]NeS\m=cTx^GK)W\m q 9) Gs _W;R ii
(204) P C Fm]FPTGW?cQPKcTx^GK)W\mW\ P C Fd^FhRTV]\FhdcTPTRTV`N^aV`cSS;RQV`S\^m]F Wb ' P C S\P C S;cSbm`RTFhS\dex-)FFhNzRQFHo^m]S;UFHd¡V]NP C FdeFhRTVXSbPTVXW?N q 9) 9) Xs ¢FP F P C FcQFhPDWbd^FhRTV]8S\PQV]W;NecgP C wcDW;^PiSbV`N^Fhd
(205) . . . . .
(206). .
(207). . . . !. . . .
(208).
(209). .
(210).
(211) . . . 78C7:9.
(212) yHI.
(213)
(214) "!$#&%('
(215)
(216) . P C W;F PQFm]FP PiC GS\PW;_AcTP* cQC x^FHGKNz)SW\mAm]FV`c*PiGS[W;GcTPFhGNV`cFHRDW?Wb^PTS\'V]NeFhdA*_ P C Fd^FHRQV]SbPTVXW?NV]coewRTciw^Fhd
(217) _0VX=o)W;cicQV`^m]F\_
(218) weN?PTVXm BDC FhcTF)W;weNedeFhd¡d^FhRTV]8S\PQV]W;NecgDV]mXm¤FwecTFhd£m`SbPTFhR%W;N-PQWW?RTG S\ded^FHNedeSV`NLT Riw^mXFHc }^ ¦ W?R FHS\U C d^FHRQV]SbPQV]W;N - V]N -_ WbP C F W?RTG 9) =_ W?R FHS\U C deFhRTVXSbPTVXW?N > V]N -_Wb¡P C F W;RiG 9) _ V`N *_-RQFHo^m]S;UF - V]N ;x P C F deFhRTVXSbPTVXW?N 9) 9) FHRQF;_ewecQFV`cgG[S;d^FW\P C FS;UPgP C S\P V`cgwNeS\G^VXa?w^W;wc=S;Ned-}Y¸PTVXFHRQFHdPQW*RTVXPTFP C Fx?V]Fm`dW\ BDC V]S\N?N?PTx§WcTSKFmX³W?Y¸RTFHG GK)cTFhw^deV]PTd^S;V`^N^m] a F DPQWYd^UFhRTRTFhV]S\8PQS\F PQV]d^W;WN¨*S\Ntc Yc C V Pic V]ccTPQFHo¨oewePTc cTFmX³Y¸FHGK)Fhded^V`N^a¡d^FhRTV]8S\PQV]W;Nec Ie ¦ W?RFhS;U C oeSbV`RW\*d^FhRTVXS\PQV]W;Nec ') N ') 64V]N > _DVXP C )NH_S\dd P C F d^FhRTV]8S\PQV]W;N 9) 9) PQW - lDDVXPPTCFhRSP C cQx^V`cGKcQ)PTFhW\oAmA_V`N FHS\* U C d^'FHRQ V]SbPTVXW?NV]N?PTW NV]cV`NecQFHRQPTFhdzV]N?PQW£S&d^FHRQV]SbPTVXW?N C W;cTFxtV]Fm`dzcTPTS\RTPTc r ¦S\deRTW;d£G#V]PDFhPQS;W U C Yd^F FHRQV]SbPQV]W;N C W;cTF*xtVXFhm]d C S\c=Sm]FPiGW?cQPgPQFHRTGV`NeSbmcTxtGW;m _^eweVXm`d&S;N NTYZc C VXP=S\Nd BDC FENQYc C V PV`ceweVXm]P[V]N P C F£W;?tVXW?wec%S8x\ l d^FhRTVXS\PQV]W;N Wb*P C F&W?RTG ') V]c G[S\NeS\doeo)$FhV]dcDPPTCW&FS\RTN§W?W;V]N?P=PQW\FHRTo) W\ m`SbPTVXW?N¡RTw^m]F %$ 4_) C FhRTF V`c*P C FoeS;RTcTFa;RiS\o C RTFhoRQFHcQFHN;PTV]Nea s^ ¦ RTW;G FHS\U C deFhRTVXSbPTVXW?N Wb)P C FgW;RiG 9) g_bew^V]m`dSd^W*NtYc C V P 5 #"C 4 _\ C FhRTF V]Wbc P C FoeS\RicQFDa?RTS;o C RQFHoeRTFhcTFhN?PQV`N^a S\Ned:CV`cP C F*mXFPTGW;cTPN^W^d^~F qm`S\)Fm]Fhd \sV]N[P C FDRTW;N?PQV]FhR !$ « ¥=W;NecTV]deFhRP C F=}8YZPQV]FhRTFhd ¥ ¦ s > > > > 301 & & )4T_ DV]P C UW;NcQV`cQPTV]NeaW\P C FW\m]m]WDV]N^a[oeRTW^deweU- PTVXW?Nec - - 0 - >- K- N > >- >- > > >- >- - > fN 0 N e. . . . . . .
(219).
(220) . . . .
(221).
(222). .
(223). . . . . . . . . . . . . . . . Go . . . .
(224) yhr. f g> C`c`Kdz 'K.
(225) « BDC F W\m]m]WDV]N^ad^FHRQV]SbPTVXW?NecDS\RTFV`NecTFhRTPQFHd-V`N?PQW - 9) - - 9) > - )' > )9 - - )9 - )' - > 9) - - 9) - )' > )9 9) - 0 9) > - 0 )9 - 0 - ') > 9) - ') N > )' - 9) - > - )9 > )9 - > 9) -- - )9 > - )9 - > > 9) - - )9 - > - - 9) N - > )9 - 0 9) N eW;PQF P C SbP*d^FHRQV]SbPQV]W;Nc > S;Ned V`N?\W\m]\FP C FzNQYoeRTW^deweUPTVXW?NW?R -
(226) « BDC F*m]FPQYZRTFhUhweRicQV]\FDd^FHRQV]SbPQV]W;Nc *S\Ned - S\RTFDRQFHo^m`S\UFHd[;xP C FDW\m]mXWDV`N^ad^FHRQV]SbPTVXW?Nec F - )9 - > )9 - - F - 9) - > 9)
(227) « C BDC FFhG[o^Px£d^FhRTV]8S\PQV]W;Nec b_ - S\Nd - CS\RTFF C S\wecTPQV]\FhmXx&oem]w^a;a\FHdV`N;PTWP C FxtV]Fm`d-W\ W\P FhRDd^FHRQV]SbPTVXW?Nec%V]N -_extV]Fm`d^V]NeaFh\FHN;PiweSbm]m]xP FW;mXm]WDV`N^acTFPDW\S;ded^V]PQV]W;NeS\m
(228) d^FhRTV]8S\PQV]W;Nech - 9) - 0 9) > - 0 ') - 0 ') 0 - 9) - 0 9) > - 0 ') - 0 ') - - 9) - 0 9) > - 0 ') - 0 ') 0 9) > 9) - 0 9) > - 0 ') - 0 ') - 9) > - - )' > - )' - )9 >2> - ') - > 9) - ') . . . . . . . . . . . . . . . . . !. ! $. !. . . !. . . . . . . . !. . . . . . . . . . . . ! . 78C7:9.
(229) y8s.
(230)
(231) "!$#&%('
(232)
(233) . URTW;FhPQS\F§PQFhP d[C deSbPwRQ V`N^- a§P CS\NFd Uw RTRT> Fh N?PS\cTRTPQF§Fho
(234) URTXFh|S\PQN[FHd P C ?F*x W;P o^C m]FHweR a\a\C V`S\N^NadA_;S;P N!C F*NTYFoe0RTFHWtUdPweW\U#PTVX W?N V`N?PQN=WV]cSN?deweFhmXm0RTVXdeweSbRTPTV]VXW?N^Na P C V`c*cTPQFHoA_ew^PD%S\c%PiS\\FhN-V]N?PQWS;UUW?weN?PDdeweRTV]N^a y PTFhoy\
(235) « l*m] m=i de
(236) FhRTC VXSbPTVXW?Nec V`N F^UFho^P
(237) P C F&cQFhm ³YZFhGFHded^V`N^a§d^FHRQV]SbPQV]W;Nc > C _
(238) F S;Ned C- F _ S\ Ned S;Ned P F> FhG[G[S\o^o£PxzPQW[deFhP RTC VXFSbcTPTS;VXW?GNeF c S; debd^_FhN de- weG _S;S;NeNed d£ P C - FHRQS\FRTW;F[RTFGa;S;VXoe;o)F FhRQd¨V`cQFPQW'PTW[NTYZS[c cTVXV]NePTcha\ m]FeRTW\w^PQm]F\F P SbP
(239) « - BDC F cTFmX³Y¸FH GK)Fhded^V`N^ad^FHRQV]SbPTVXW?Nec F S;Ned - F S;RQF G[S\ooFHd-PTWd^W*NtYc C VXPTch eW;PQF P C SbP > d^WtFhc N^W;PpS\oeo)FhS;R S;c cTwU C V`NP C FcTFP W\ V`N;PTFhRioW;m]S\PQV]W;NRTwemXFHc YF_ FhW;G[R o^PVXxP d^V]c FHRQV]RQFHSbdePQweV]W;NeNdcS\N?S\P RTFzDN^V]W;P CP&RQPFhCPTS\F V]N^ciFHwed ecTFFV]P PC FH R _%W?F R P -C F x S\ RTF§ RT& Fh deweN|deS\N N?PP C DF V]P C W;P PC C FHF¨R ciC weS;eNecTFdAP _ > - & - - > > - >2> & i " « 3 M
(240) }3 z~ gc `a' a
(241) { ga'Kc + X F _ !$# a K maiz
(242) 3 ^_ c` c` 3
(243) 'Kcd
(244) { a dm mi 'd ~/_ F n B+ W- ¯
(245) o¯ RQ W;¯ FP C
(246) S\P« W;N^m]xd^FhRTVXS\PQV]W;NecWb S\RTFew^V]m]P_
(247) UW?NecTV]d^FHRP CC SbPSbC m]mS\dedeFhNedeS&V]NzP C C F[RiC w^mXFHcWb F RTFhF=oRQS\FHoecQoeFHmXN;V]P*FhcdeRTFhFhRToVXRQSbFHPTcQVXFHW?N;NePicDc W\S§ d^FHO RQV]eSbWPQ V]W;_)NciweW\oe o)W;cT_V]N^V]PKaUV`S;NeN¨dewFHUS\PQcTV]VX\m]x¨FhmXx£)F&P c SbC P*W*P N¨FP UC W;S\N?PPQFP tC PDF-PTWRQFHcT w^m]PQV`UV`N^a§SURTW;weN?mXPQFFtW\P DNTYV]c m]C mV PPhC FhN§S\m]cTWRQFHoeRTFhcTFhN?PDSd^FhRTV]8S\PQV]W;N¡W\ _) C FP C FhRP C FRTwemXFKS;oeo^m]VXFHd¡gS;c*Sd^W*NtYc C V PW;R*S;N B C V]a;W¡NeW;oeRTRQF-W;P FC FP FSbP FhUSbPm]mWbd^FhRTm]FVXPS\PQRTV]W;FhUhNewecRiWbcQV] W;N S\UNeS;dNz)NTYZFoRQW^w^deVXm]weP UPQ?V]x§W;NeS\choe_o^S;m]xtNeV]d Nea£P C RiFHw^N m]FhcS;WbUPTW;RF¸P_AC gFHFG DeV]m]S;m5U Q) RTcTV`NAP Wb=t S\mXF m S;UUW;Rid^V]Nea\m]x§d^dF Q)NeF 9) PQW§d^FHN^W\PTFScQFH©tw^FhNeUFWb pFHRQW¡W;R GW?RQFm]FPiGW?cQPdeFhRTVXSbPTVXW?N cQPTFhoec PcTCPQFHSboePc%d^P WC NeSbW\P*PG[V`N?S8\xW;V`mXN;;;FW\S*m]\m]FFPOS\YN RTFhNTUYZwoeRTRTcTW^VX;deFweUUx^PQV]UW;m]N£FW?S\Rqc NTYoe9) RQW^ dewU PQV]W;N
(248) _8S;NedDV]mXmtFeo^m]V`UV]PQm]xdeFhN^W;PQF=deFhRTVXSbPTVXW?N BDC FKoeRTW?W\DV]m]m C V`N^a\F W?N C _
(249) "
(250) CdeFhRTVXSbPTVXW?C Nech W=Fh\FhRh_eSoeS;RTcTF a;RiS\o C RTFhoeRTFhcTFhN?Pic%F\FHRQx-oW?cOY cT?V`x&^mXoF=S\d^RiFhcQRTFVXa;S\RiPQS\V]oW;CNcgW;WbRid^ FhR =FP V]cDFHciRQw F W;URTV]F\Fh_8N?c PDWPTW[DV]oN^RQaDW;P FSbP P¤C SbSbm]P*m\m]S\FmXm
(251) PTd^GFHW?RQcQV]PSbdePTFhVXW?RTVXNec%SbPTWbVX W?Nec
(252) W\UhS\ NA UhS\N )FRTFhoeRTFhcTFhN?PQFHd y\ ¦ W?RS;N?xm]FPiGW;cTPd^FHRQV]SbPTVXW?N Wb WbP C F&W?RTG 9) 9) g_VXgF-ciweotY oW?cQFV`NedeweUPQV]\Fm]xP C SbPP C FHRQFV`cSLT UW;N?PQFtPP C SbP RQFHoeRTFhcTFhN?PTc 9) g_
(253) P C FhNA_
(254) ?x UW?NecQPiRTwUPQV]W;MN q y PTFhoec[y[S\Ndzr s _AP C FhRTFV`c S\N NQYc C V PWb FP C S\P GS;oecP C V`c UW?N?PQF^PPQW£W;N^F P C S\P*RQFHoeRTFhcTFhN?PTc 9) 9) % }^%LOmXFN POYRQFHUS weRicTVX;F }8YZPQV]FhRTFhUd xtUmXF ¥ ¦ UW;_ N?PTS\V]NeFc\FHRQx S m]FPiGciweW?0cQd^P FhRTVXS\d^PQV]FHW;RQNV]SbPQV]W;N Wb V]N?P;C W\F m]?V`N^a W;RiG S e. . . . . . . . .
(255) . Go . .
(256) . .
(257) yHu. f g> C`c`Kdz 'K. 9) )' )9 - > )9 - > - g_ DVXP C - S\Nd > V`N * _eS;- Ned V`N * eW _ ciweoeo)W;cTV]N^a V]NedweUPTVX;Fm]x P C FhRTF V`c S LT UW;N?PQF^P UW?RTRTFhcioW?Ned^V`N^a PQW 9) - )' - > _ P C FhN P C FhRTF V]c S d^W*NtYc C V P W\ F G[S\oo^V]NeaV]P PQW F;FhRTx&oW?cTcTV`^mXF UW;N?PQFtPDRTFhoeRTFhcTFhN?PTV]N^a[S[d^FhRTV]8S\PQV]W;N-WbP C FW?RTG 9) - ') - > )9 - > 9) - C PQ weW RTeP FC W FH C RS;_weS\cTcToeV`PQNeoeV]U\mXV`FFUS\Fhd^PQ\V]FhFHW;RTRQN§V]x¨8S\W\FPQ%m]V]FhW;deGN W*Fhd^N?NtWPTYZ*S;c RQCN xVXPTPTm]WFcPOUS¨YS;RTNzm]FhFUa;wPiFhGRTN^cTW;VXFH;cTRTFPS\PQUUF[x^x^USbUm]m]m]F&mV]U£o)V`cKW^W;UciUhUhcQS\V`weo^^RiPim]RQF[weFHRTNedeFhUFhd F-RTVX?W;xSbRPTVXS§SW?Ned^PQcFHWRT*N^GW\NtV`PYNec SbV`N?m*V \PN^W\W^m]q¸td^deV]FNew^s aF _ NTYZoeRTW^deweUPQV]W;Nech Ie B W¨oeRQW;F[P C S\PSbm]m=UhS\cTFhcV`NedeweUFhd?xP C F-oeRQFHcQFHNeUFW\pNQYoeRTW^deweUPTVXW?NecS;RQFUhS\o^PiweRQFHdA_VXPKV]c cTw UVXFHN?PPQWzoRQW;FP C SbPh_VX 9) 4V]cKS\NxNTY RTFFd^FHRQV]SbPTVXW?N¨W\ S;Ned
(258) NV]cS GFhGK)FhR*Wb [_P C FHN FUS\N£ew^V]m`d¡P C Fd^FHRQV]SbPTVXW? N 9) 9) g LZa\ FhP #C FHS\RKoeDo)FhV]P S;C RTcP V]C NzFP C S;FUPRTP W;C N?S\PQPV]FhS\RN?Wbxx=NTS;Y N§RTFS\F&dededeFhFhNeRTdeVXwSbG PTVXW?eN w^V]WbmXP V`N Uhy S\PQFHN oe)cF-yeS;weNeVXdzm]P}e?_0x P C FhFN _ya;PQweFHS;ozRTS;IN;_0PTFPTWbFHcY P C S\PP C FKF0FHUPWb NV`cUhS\o^PiweRQFHdA |P C FhRTDV`cQF;_)P C FhRTFN^FHUFHcTciS\RTVXm]x£F^V]cTPTcS&deFhRTVXSbPTVXW?N 9) _0S\Ned£P C FhRTFW?RQF ') ') DV]mXmN^FhUFhcicTS;RQV]mXx)FKoeS;RQPDW\SdeFhRTVXSY y PQV]W;N oeRTW^deweUFhd deweRTV]Nea PQFHo y\ + \FHN?PTweS\mXm]x\_
(259) P C V`cKd^FHRQV]SbPQV]W;NDV]mXm=FV]P C FHR)FP C F&PQW;oGW?cQP oeS\RTPWb
(260) S;NS;ded^FHNedeweG W;Rh_\VXAVXPV`cS deFhRTVXSbPTVXW?NV]N?PQWzNH_?P C V`cdeFhRTVXSbPTVXW?NA_ 9) NH_;)F C S8\Fhc mXeV`bWFD S;_NcTV`FhNeG[UFo^PgxF oeC RQW^S8\deF wUG[PQV]S\W;d^NFS\P NC dKF V]CPTcx^o)F0W\FHP CUPFhcTV]V]cc*PiP S\C \S\FhP NV`N?PQd^W WtS\FHUhcDUN^W?W\weP*N?P¤RTFhV`UNKW\P a;C NeFDVphcTFS;GP C FgF %FhS8G[x o^S\Px£c
(261) cQPiRQ V`N^aNH_ P C FHRQF[V`cN^W¡V`>N Q)N^V]PQFRTFa?RQFHcTcTVXW?N = P C SbPV]cPQWcTS8xP C Sb P NN^FhUFhcicTS;RQV]m]x§S\oeo^m]V]FhcDVXP C V`NS )9 NcTweU C P C SbP W^UUhweRTc%V`N¡P C FRQW?N;PTVXFHRDWbS\N¡S;ded^FhNdeweG d^FhRTV]8S\PQV]W;N )9 ew^V]mXPdeweRTV]N^a y PTFhoecyS;Ned¡}^ BDC P C FFhRToFRQW^W?URQFHF;de_
(262) weFRT;F\Fh RTx§oW?cTcTV`^mXFV`NeUV`d^FhNUFWb%S\NS\Ri^V]PTRiS\RTx£FHG[o^PxzoeRTW^deweUPTVXW?NzV`c US;o^PTwRQFHd¨?x .
(263).
(264).
(265) . .
(266).
(267) .
(268) . .
(269). . .
(270). .
(271).
(272) .
(273).
(274) . . . . . .
(275).
(276) .
(277).
(278). .
(279). . w. .
(280). . LZFH ©tw^VXFS\emXFHw^N;V]P%m`dePTcWP P C C F F m`ciS\S\N^Ga?F weSbm]a;FFPTGRTFhW?UW\cQP§a?N^d^VphFHFhRQV]d-Sb;PTx VXW?Nec¡YS\w c _P C F m`S\Nea;weS\a\FzV]P§RTFhUW;a;N^V pFHc&V`ccTPTRTW;N^a;mXx. 78C7:9.
(281) y.
(282)
(283) "!$#&%('
(284)
(285) . D M * !#( LZP OC _\FW;cTRPTRTS;V]N^N?axKV`PTNeWcQPioeS\S\N?RiPTcTS;F N^V]Fc9W? wec_)d^FHNecTW&UhRQGV`o^W;PQRTV]FW;N P C S\ N£- W? N^4 F_tRT weC mXFFHRQV`F c S;-oeo^V]cm]V]SKUhS\^m]LTF\ _eP UC W;FN?PQF^LTP C C S\W;ccTFDSxtd^VXFFhPTm]FhdRiGV`cQV` &N^V`S\cQPTNV]d U P)C F F C S8a\?FHV]N^W;FhRhRi SbBDPTVXC;V]Fco))WF gC FhS8Rg?V]WbW;Rd^V`cFPTV`FhN?RiPQGFHRQV]FHN^cQV`PTcTV]PQN^V`aU W?LTRVXPichc F UVXFHNeUx = W;RP C V]c=RQFHS\cTW;NA_\P C V`ccTFhUPQV]W;NFeS\GV`N^Fhc ( «t¯ « 3(i
(286) `c
(287) ^_A!$#/5 O
(288) 5c
(289) i Ki N a~abd
(290) {di K
(291) c G "5 Oi c 'Kab
(292) }3 c ` #
(293) n + ¯
(294) ¯ ¯ ¤ «B WcTPTS;RQP¤DVXP C _bgFDV]mXm^oeRTW\FP C S\PS;N¢<¢ qQy sAa?RTS;GG[S;R
(295) US;NK)FgoeweP¤V`N?PQWRQFhV]eS;U C eW;RiG[Sbm ¦ W?RTG DVXP C W;w^P&mXW?cQV`N^a VXPic¢¢<qQysoeRQW?oFHRQPx; LON W;Rid^FhR[PTW oRQW;F£P C V`c_DcTV]NeUFS\N ¢¢<qQy s a?RTS;G[GS;R=UW;N?PTS\V]NcDN^W[mXFPRQFHUweRicTVXW?NA_tVXPDV`c%FhN^W?w^a C PQWoRQW;FP C FW\m]mXWDV`N^amXFHG[GS.
(296) , "n
(297) I
(298) " « Cd
(299) ) ' (*, )4 ( )
(300) - > ( `oa'Kcd
(301) i a O }
(302) 3
(303) / _ i ] o a K ' d c
(304) K. > B ) n Cd
(305) F) ') +*, Y F )4 h
(306) i a_ ` - dmMabd
(307) i ga'Kc
(308) _ aabai i K
(309) { aL
(310) iK" oa'Kcd
(311) K
(312) - - > - > > - > n 3 F c " K gd l
(313) }3 d L 'Kb aT .
(314) n + ¯
(315) ¯ ¯
(316) « B C S;S;URQFUW;N^RiW?d^NeV]NeRQFHaUPQweW RicTVX;FF\_t_tV`N^P W CmXV`FN^S\Fd)S\SbF o^Cm]mAP[S8U?S¨SbV]W;m]m`RTwcFhR=UhPQweWW\RiP cQCPV]\C FF&FoedeoeRTW^FhS;ciURTUFHcTFhFhdeN?RgweP[DRTF oeV]mXS\mRi)cTV`FhFNeRcTweV]PdeNeFSbS\0P PFHC UoeFPTS;FhoeRTdARTcTW^FhUcFHw S\deUhweURTW?F RTd^V`N^a§y V`NePTW UFP C PQFhW cTFoeUhS\SbRim]cTm]Fc ¦ C C C eW _?S( RgTV]aW;CwePOm]dY C )S\ FNde RTFhcQ©tV`w^d^a;V`FRiRQS\FHG[d[Fha\G[PQV`WKNeS\cgcTRFDV`m]cFhVXUP¢¤P=C .¢ S;qTN y sDW?VXR=Yoea;S\RQVXN;W^d[FhdeN wW;UN^ PQm]V]xW;S\N
(317) NVX
(318) ¤d P L0P=Fh_^V]RTc=W;FR=FhV`S;cFcQm`N^cQxFWPQGWKGW;cTW?FRTRQFFFDPP P CC S\S\S\PN&N_tW;VW;
(319) N^N^P FF C cQV`*c=x^YZGUoW;RQNeW^W;d^dem)V]wePQW\V]UW;PQmXN[V]WtW;W?NW?H^S PTCS\V]FhW;NS;cTcd F _ PPTWC FP CUW?F§NecTcQW;PiRTwwRTUUPQF£V]W;¢¤N.¢ oeqTyRTW^sUa;FhRidS\weG[RQFG[W;S\weRhPQ m]V]N^LONeFHdd^FhV]FhN dA_%y FhV`NUPQV]S;W;N?N x I£V`NeoecQRQPiW^S\deN?wPTS;UFhN^c FW?S¡wec[d^Fhd^PQFhFHciRTUGRTV`V`o^N^PQV]cTV]W;PQV`NAU&_%P CLT F§S\FHNe©tU w^C VXW;S\RmXFHN;W;PR y C C C PS;NeC N?WSbx¨ P_RiV]w^S\ccDmXF&oeS\RQWbP*FHDcQGFHP N?W?P*cQF-PDV]N¡PW?x^N^P oCFF&FRidew^RTFhmXW;FciUN?URTPTW;V]VX)FHRiRDFhRQFHd WbcTo)V`N W;P CNFdeFhcgUUW?PQPQV]WN?W;PQN P FC ^IFKPh_)S\V`ccTNeWUP C SbW;F&PRDGV`G[cTxtW;GcTGP*FhW?d^W;N^V`mSbFK_PTPF&N^C W^cTFd^wFUULTV`FHc*cTcTFhW;P mXV]C Ra\SbV`WbPD^Dm]V`FKc*P S\UF&cW?Nem]P S;cQC PicQFRTPwS\m]UFNePQ^U FHFHC d£GW?V]R Fc = deFPQFHRTGV`N^V`cQPTV]U\Yw <%Fhx\W;NdP C V`cDS\dGV]PQPTFhd^m]x&RiSbP C FhR%deRiS\-RQFHcTw^m]P_tV]P%V]cDcTW;GF C SbP%S\Ridew^W;wcPTW[U C S\RiS\UPTFhRTV phF*P C FUm]S;cTc W\m`S\Ned^a;FwePTS\Fha\RiFhGchV]_bN^ciV`wecTUPQCV`U¡S;cLP ¢C FDc m`S\LNeP[a;wec C S\W?a\w^FDm`S\d Ne)S\mXF£>x phN^FhW;dPQFHV`N[dcQP FHC USbPTPVXW?PNC r)V`c[_b Um`C S\V`ciU cC V`V]NecURTm`weFhUd^W\FHa?cN^cTV phW;FhGdF£;xUW;S N?PTd^FF^PTPOFhYRicQGFHNeV`N^cTVXV`PTcQVXPT;V]UF |LTNP C F*W\P C FhR C S\Ned
(320) _;W?N^F*US;NUW;N8kOFHUPiweRQFDP C SbPP C F*V`N?PQFHRTcTFhUPQV]W;NWb¥ ¦ ¢¤cS;Ned[d^FPTFhRiGV]N^V`cTPQV`UL¢¤c odRQweW?RQoV`N^FHaRQm]xSV]NLTUpm`wed^deFhFhcRTVX¢¤Sb.¢ PTqTVXW?y NAs m]S;N^a;wSba\FHc*RTW;G W?ecTFhRT?V`N^a-P C FcTFh©tw^FHNeUFWb%UW;N?PTF^Px?V]Fm`decW;ePTSbV`N^FHd « 8 \ N & ¸ C l \FHRQPTV]UhSbm3NTYZc C VX PDcTwecQPTVXPiw^PQFHc*Sciwe^a?RTS;o C W?C RDSdS\N^a;mXV`N^aN^W^C d^FV]G[GFhdeV]S\PQFm]x W\m]mXWDV`N^aP Fm`S\cTPm]F^FhGF*W\ - _?cTWV]P=G[S\oec=SKUW;N?PQFtP W;cTF*xtVXFhm]d[V`c=WbAP FW;RiG PQW. . . . .
(321). .
(322) .
(323). . . . .
(324). . .
(325). . .
(326) . . . . . . . Go .
(327) yH|. f g> C`c`Kdz 'K. &mXS FUPTW;GN?W;PQFcTP%tPd^Fh RTCVXW;S\cTPQFV]W;xtN VXFhm]S\d§Ned
(328) V]c_tWbS;cP P C C FFd^W?FHRTUG V`cQV] W;N PQWK PiS\BD\C F*FKVXP%ciS\d^GFHoFFHGNedeS;c=oeW;o^NV`N^W?a&N^UhFS\PTN§W;b)FHFKN[W?Wb^
Documents relatifs
Dans chaque ville et pour toutes les lignes de tramway considérées, il faudrait disposer des trafics avant et après ouverture d’une ligne et de plusieurs projections d’évolution
Le fait d’écrire à partir d’une oeuvre d’art visuelle ressemble à une forme de contrainte; nous croyons par ailleurs que cette pratique a eu un effet durable sur l’écriture
variables d'ordre psychologique: soit f.amiliale ou personnelle, soit so- ciale, soit professionnelle, soit une combinaison de ces facteurs. Ce patient a récupéré
For the two coolest objects in Figure 3.6, HD 4539 and PG 1716+426, both at Ta < 27, 000 K, there is a good match between the predicted synthetic spectra and the FUSE data: the
lui inculquer le registre li'lquistioue, les l1abitudes alimen- taires et vestimentaires ainsi que le comportement des bour- geois de Québec. Pierrette Paul doit
La conciliation emploi-famille : des mesures à développer dans les milieux de travail Tableau 4 : Les dispositions favorisant la conciliation travailfamille dans les
Figure 2.4 Predicted (continuous lines) and observed values (filled circles: stands aged from trees with root collar; open circles: stands aged from trees without root collar)
Cette posture permet de dégager deux idées centrales : le poids des milieux professionnels locaux dans l’intermédiation et le transit des idées, modèles et pratiques
