Integrating Boolean and Mathematical Solving: Foundations, Basic Algorithms and Requirements
Testo completo
(2) ..
(3)
(4)
(5) ! #"$&%'(') * +,, -/.0 1-24352 67
(6) ,8-9 :;<$+,
(7) 8=>-@? A BDCECEF(GHIKJLFMONQPRJTS2UWVKXYBDF(P[Z\BD]\P[Z\BD]^_F(Pa`R]QCEBbScVKHCEF(GRG[NQdKJLPR]Oe_BEMONf`[`[BgSfV HP[`[IhPij]\P[dhBECEk ]fl!BEmncSRoWVTNWdKJp!]\qTF(Pa`R]srtF(qKNQGa`[BuNWdKBbS&v wsxzy6{}|~x/Qyt 2c QtyTRW Qx~a( ( cf&t(WWcf T¢¡c Rt(Q T~£\(¤\ c(¥\¦2§Q Q¡©¨z ( ª'« QxzhQ¬\®R¯¢° (±² 2c7\³7t´s¯¢7µµµh¶\a³7 · x°¯z¸Q/ (±²{> (¹1º¸QR_Q³7µ7\³7\¬\®R¯¢° (±»}D2¼\¯z (½LL ®t¾ ¿'À x°yQ¬µc[¯¢µ Á ¾\TyT7f \ 2c \yT7f \\xa WW(cW¨¢Â(QfÂW ¤\ (§(Q ¨~¤\ ¤²¨ 2 ÃÄÅ7Æ7Ç2ÈtÉ(ÆÊ x'Ë1®¯z f&2¯!ÌËt&cjÌ6R¯¢¯¢&¾,(,µ¹1º\R¯¢¯¢®¾\((\³7 µOËRÍ1³R®R³RO ±>ÎL f (µ&(¯¢ µWµÏ7³aË®Ðf¸R¯7Ì6˵³aËËt(¯_Î\ (¸ÏËf_®Ï ºQ7W® (¸¯¢$µW¢a³Ra(Î\µ1º\ Î\µ7¹1¯!!Ë\ &³[Ë' (±¯za2R|~ (±D|~Ë\R|¢¯¢ (®R¯7Ñ ¬_\±u ¢¸7fW¯¢µ¹1ºµÎL f (µ&(RÒQº\7¯¢¯¢µ \¯Y\ (
(8) [Ò\ºQ7¯¢¯¢µc/7\ ¸\Ï˱u ( 7ºQ7¯¢7fµÏ¹(f&(|gÌ D¾º\ (ε7¹1¯7\Ì6˵³[ËO&Ðf¸\µËtt¾Q®µ\ϵ¯¢ µ\| 7Ï(R (&(_µ¸7¯ (¾Ó ºL[a (¯7Ñ
(9) ÔÓË (Ë[Ë(t¾h²¹ËR¹µ³&( ¯¢ (®R¯7Wµ®½_³7 (¹1º¸QR¢|(µÏ7ÎQa!¯z\¯zR¹1¯} ³7 (¯z¢a(µf
(10) ¯¢ (®R¯7W³&(\ >Ë(\| ¾Q®6RÍj³7µ7fµ º\ (ε7¹1¯²®Wc (µQµ\Ï!Ë&&f ÎL f (µ&(¯¢&2³[ËKf (>¾\ !\ (}Ët(¾\µ Ë\7¹Õ2(µbÑKx°O˵¯/º(ºLR/Ì> ºQ7¯¢7f/˱u (¸¾µ (¯(¾sË Î(¯¢µ³j| Ï( (˹1¯±E (_=\RÌÖ³7®(¯¢¯6 (±©º\ f³77¾\¸\R¯±u (Y¯¢ (®WµÏ ÎL f µ&(³7 ¹=εt2® (¯ ±_¹2Ë7¹2µ³&(º\ (ºL ¯¢µ \¯7Ì6˵³[Ë׳7 ¹=ε1ÎL f (®7(0(¾×¹Ë\7¹| ³&6¯¢ µcR¯7²t¾Ì˵ÏË\®µÏ(ËW Ë ¹(µ,&Ðf¸7¹17f¯Ët ÎL f µ&Ø(¾ ¹2Ë7¹2®³7(K¯¢ µcR¯6¹ ¸\¯z
(11) ±u¸\µÙµTµs a¾\R6 1³[Ë\®Rc/Ë/¹2ÒQ®¹=¸¹ÚÎL7\| RÙ\¯=±D ¹@Ë\7jµf7Ï(a2µ TѲ¶µ(µ,Ì ¯¢Ë &ÌÛË &ÌÜRÒQ®¯zµ\Ï'¯zQ¯z7¹1¯= ³&º\¸Q&¾Îf ¸QY±Da(¹1RÌ> (½LÑ Ý. Þàß6áLâã>ä>áhâß_åæä
(12) åçéèYß6ä
(13) êaë. ì dØ`[íhFCuNQGa`îQFNWP7Gjl_F$íKNcïQFsl!BD`[dhFG[G[F(JðNQdÓBEMsñhPRF(GRGaBEïQFN\JLïfNWdKmFOBDdÓ`[íKF$F2òmBDF(dKm2îó]Wô qT]t]QCEF(NQd1Ga]\CDïtBEdhZ/`[Fm7íhdhBuõ\IKF(GYö°rLH
(14) ÷ø&Vl!íhBum7í1íKNQG²qhPR]QIhZ\í\`CuNWPRZQFñhPRFïtBE]QIKG[CEîBEd\`RPRN\m&`7NWqhCEF ñhP[]\qhCEFMOG0Nf`,`RíhFðPRF(NQm7íÜ]WôGa`RNW`[F2ùz]Wôbù°`[íKF2ù¢NWP[`G[]QCEïQF(PRG(úSØHG0N#m]QdKG[F(õIhF(dKm2F\VG[]QMsF íKNWP7J0PRF(NQC®ùzl_]\P[CuJ,ñhPR]QqKCDF(MsG íKNcï\Fq©FF(dðGaIKm(m2FG[GaôgIhCECDî0G[]QCEïQFJ0qtî0FdTm2]LJLBEdhZ×`[íhF(MûBDd`R] rLH
(15) ÷jú6X6PR]Qñ©]\G[B®`RBD]\dKNWCñhCuNWdhdKBDdhZýü i1þÿr NWdKJ qT]t]QCEF(NQd Ms]LJLFCDù¢m7íhF(m tBEdhZ ü ^e! e NWPRFjNQMs]QdhZ`[íhF1q©F(Ga`NQm7íKBDF(ïQFMsF(d\`7Gú { « {>¬ « ´¬! cx |~² y {,º\ z7³R&c³7 f¢a(³[}³R W¾\
(16) y˵¯Ì ½ µ¯}¯¢ºL (¯¢ &¾jÎf=Ë\Y ! ! !"! !$#%! /t¾ÓË(¯1ËW¸¯ÎL7[Ù&¾Ó ±!ËsÙt(\³7®(_³7 f¢µÎ¸Q® (Ø (±!Ë\ {> ¹1¹1µ¯¢¯¢µ Ë\ ¸\ÏË Ë/&x /0º\ Ïa(¹1¹1Ñ w ' ²y ºQ f³7&¾Q¸\7¯2j³7 ¹1¹1 (O³&µ®7) ¾ (+*, -".+/0(µË1 }y ³7 ¹1¹=¸fL(Ë\ ¸Ï(Ë$Ë\ ¾\µ¯zµ³[® (jÎLRÌ771 (2*", -%3546(8 79/:*8-%35466(< ¾ ;=*">?79@AB3546¯¢RW®³R7¯}¹7¯¢¸Ï(Ï7¯z /³7(µ\Ë\7¹ 79/C*"-".+/+(Ñ.
(17) D dLôg]\Pa`RIhdKNf`RFCEîQVGaBEMsñhCDFqT]t]QCEF(NQdOF ELñhPRF(GRGaBE]QdTG
(18) NWPRFdh]W`_F ELñhPRF(GRGaBEïQF/FdK]QIhZ\ísôg]QPYPRFñhù P[FGaF(d\`RBDdKZ0MONWdtîóPRF(NQC®ùzl]QPRCEJÓñhPR]QqhCEFMOG(úGFK]QPFEhNWMsñhCEFQV}ñhP[]\qhCEFMàJL]QMONQBDdKG CDBHQF$`[F(Mù ñT]\PRNQC²PRF(NQG[]QdKBDdhZTVKPRF(G[]QIhP7m2F1ñKCENQdhdhBEdhZKV©ïQF(P[JB ITmNW`[BE]Qd,]QôYGaîLGa`[FMOGl!B®`RíÿdtIhMsFPRBEm(NWC>JhNf`7N ]QP/]Wô>`[BEMsF(JGaîLGa`[F(MsG(VLPRF(õIhBEP[F íKNWdTJLCDBEdhZONWCuG[]m]QdKGa`[P7NWBEd`RG]Qd×BDd`RFZQF(P!]QP/PRF(NWCõIKNQd`[BDù `[BEF(Gö~G[FFQVFQú ZKúEVtü He/K A 'LV LMLN'hVµeHP ^ OQ9RtV T þ S²V H UQWYX%bø2úfþ,]QPRF]fï\FPV2Ga]\MF_ñhPR]QqhCEFMÛJL]Qù MsNQBDdTG}CEHB QFM]LJLF(Chm7íhF(m tBEdhZ]Qôb`[F(dPRF(õIhBEP[FNWdF ELñhCEBEmB®`
(19) PRFñhPRF(G[Fd`RNW`[BE]Qd]QôKBEd\`RFZ\FP7G}NQdKJ NWPRB®`RíhMsF2`[Bum ]Qñ©FP7Nf`R]QP7GVl!íhBum7ím(NWdhdK]W`/qTF1PRFñhPRF(G[Fd`RF(JFòm2BEFd`[CEîqtî$G[BDMsñhCEF1qT]t]\CDFNWd F ELñhPRF(GRGaBE]QdKGOöGaF(FQVF\ú ZTúDVü eH=P ^ OQ$RtV T þ S}Q H UVWZXgø&\ ú [=dÓ`[íhF]Q`[íhF(PíKNQdKJVMONf`RíhFMONW`[BumNWC Ga]\CDï\FP7GVCEJB \F$m2]\MsñhIL`[F(Paù¢NWCEZQF(qhP7N'G[îLG`RFMOG1]QPm2]QdTG`RPRNQBDd` G[]QCEïQFP7G(VmNWdKdh]W`íKNQdKJLCEFF2ôbù ITm2BEFd`[CEî ñKP[]\qhCDF(MOGOBDdtï\]QCEïBEdhZØíhFNcïî qT]t]QCEF(NQd#GaFNWP7m7íV]QP$JL]ðdK]W`íKNQdKJLCEF`[íhF(M NW` NWCECú d X"'OlFíKNcïQFñhP[]\ñT]GaFJ0N'dhFl Z\FdhF(PRNQC>NQñhñhPR]\N\m7í`[]×qhIhBECEJÓJL]QMONQBDdLù¢G[ñTFm2JB ITm ì] JLF(mBEG[BD]\d ñhPR]Lm2F(JhIhP[FG]\d#`[]\ñ ]WôrhH
(20) ÷;Ga]\CDï\FP7Gÿü A1r LVA1r W'W °ú!÷/íhFóqKNQG[Bum0BuJLF(N lN\G `[],JLF(m]QMsñ©]\G[F `RíhFGaFNWP7m7í0BEd\`R]×`l_]]QP[`[íK]QZQ]\dKNWC>m2]\Mñ©]QdKFd`RG(V]QdhFsñhIKP[F(CDî,ñhPR]Qñ©]\G[BDù `[BE]QdKNQCTm2]\MsñT]\dhFd`_NQdKJs]Qdh_ F ^aq©]]\CDFNWdLù°ôgPRF"F `jJL]\MONWBEdLùzG[ñ©F(m2JB ITmm]QMsñ©]QdhF(d\`NWdKJ`R]IKG[F N×ö~Ms]tJhaB IKFJK ø b NcïtBEG!XYIL`[dKNQc M S]\dhZQF(MONWdhd d S]fï\FCuNWdKJó&ö egfVhihYø/rLH
(21) ÷ÜGa]\CDï\FP1ü bjSkSG'l ôg]QP1`RíhFOôg]QPRMsFP NQdKJðNñhIhPRFJL]\MsNQBDdhùzG[ñTFm2JB ITmOñhPR]Lm2FJLIhPRFôg]\P1`[íKF$CuNf`a`RFPú}rt]ô~NQP`[íKF rLH
(22) ÷#qKN\GaFJNWñhñKP[]NQm7ísñhPR]fïQF(Jsï\FPRî8F m©Fm&`RBDï\F=BEdïfNWPRBD]\IKG_ñhP[]\qhCEFM JL]QMONQBDdKGYCDHB QF\V\F\ú ZTúDV M]LJhNQCNQdKJ1JLFG[mP[BEñL`[BE]Qd CD]\ZQBumG6ü A1r WW°V(`[F(MsñT]\PRNQCQPRF(NQG[]QdKBDdhZü He/K A °VP[FGa]\IhP7m2F
(23) ñhCuNWdLù dhBDdKZ0ü LMLN' °ú ì d$`RíhBEG/ñTNWñ©FP/l_FjñhPRF(G[Fd``[íhFjôg]\IhdKJhNW`[BE]QdKG/NQdKJ`RíhFjqKNQG[Bum=NQCDZ\]QPRB®`RíhMOGYôg]\P!NdKFl m2CuNQGRGj]Wô_ñKP[]Lm2FJLIhPRF(G=ôg]QPG[]QCEïtBDdKZ×q©]t]QCEF(NQdóm2]\M qhBEdKNW`[BE]QdKGj]Qô_MONf`RíhFMONf`RBEm(NWC
(24) ñhPR]Qñ©]\G[BDù `[BE]QdKG(VWl!íhBum7ísBDd`[F(ZQP7Nf`RF!rhH
(25) ÷ NQdKJMONf`[íKFMONf`RBEm(NWCKG[]QCEïQF(PRG(VfNWdKJlF!íhBDZ\íhCEBDZ\í\``RíhFMONWBEd P[Fõ\IKBDPRFMsFd`1rLH
(26) ÷ NQdKJ0MONf`RíhFMONW`[BumNWC
(27) G[]QCEïQF(PRG=M IKGa` ôgIhaC ITCDC
(28) BEdó]\PRJhFP=`[]NQm7íhBEFï\F`[íKF MsN ELBDMIhM q©Fdh8F Ih`RGôgPR]QM `[íhF(BDP6BEd`[F(ZQP7Nf`[BE]Qd²úc÷/íKF!IhC®`RBDMONW`[F!ZQ]NWCtBuG>`[]1JLFï\FCE]QñsGa]\CDï\FP7G NWqhCEF `[]OíKNQdKJLCEFjm]QMsñhCEF E$ñKP[]\qhCDF(MOG/CDHB QFj`Ríh]\G[FjíhBDd`RF(JNWq©]fïQF\ú ÷/íhFñKNWñ©FPOBuGGa`[PRIKm&`RIhP[FJ N\Gôg]QCECD]flG(ú ì d rtF(m2`[BE]QM d lól_F0JLFG[mP[BEq©F'ôg]\P[MONQCDCEîð`[íKF ñhP[]\qhCEFM l_FØNWPRFóN\JhJLPRF(GRGaBEdhZTú ì dÛrtF(m2`[BE]Qo d n l_FÓñhPRF(G[Fd`$`RíhFÓCD]\ZQBum,ôgP7NWMsFl]Q2P ]\d l!íhBEm7íÖ`[íhF×ñhPR]tmF(JLIKP[FG NWPRFqKN\GaFJú ì d rtFm&`[BE]Q] d pÿlF$ñhPRF(G[Fd`NÿZQF(dhFP7NWCEBDn(F(JðG[F(NQPRm7í ñhP[]LmF(JLIhPRF/l!íhBum7ím2]QMqhBEdhF!qT]t]\CDFNWdONWdKJMONf`RíhFMONW`[BumNWCTGa]\CDï\FP7G>NQdKJsBEd\`RP[]LJLITm2FG[]QMsF F2òm2BEFdKmîBEGRGaIKF(G(ú ì dórLF(m&`RBD]\r d qslF íKBDZ\íhCDBEZQí`=`[íhFMONWBEd0P[FõIhBDPRFMsF(d\`7G!`RíKNf`jqT]t]\CDFNWd NWdKJ'MONf`[íKFMONf`RBEm(NWCG[]QCEïQFP7G_M IKGa`!ôgIhJC IKCDC²BDd]QP7JLF(PY`R]NQm7íhBEFï\F`RíhFjMsN ELBDMIhMq©Fdh8F Ih`RG ôgP[]\M5`RíhFBEPBDd`[F(ZQP7Nf`RBD]\dú ì d rLF(m&`RBD]\] d 0lF$qKP[BEF sKîØJLFG[mP[BEqTF×Ga]\MsF$F ELBuG`RBDdKZÿGaîLGa`[F(MsG l!íhBEm7í,NQP[FjmNQñL`[IhPRF(J'qtî$]\IhPôgPRNQMF(l_]\+P V NWdKJ$]QIhP!]fl!d×BEMñKCDF(MF(d`[F(J×ñhPR]Lm2FJLIhPRFQú Fh]QP>CuNQm j]WôKG[ñKNQmFQVBDd `[íhBuGñKNQñTF(P}lFY]\MBD`>`[íhFñhPR]]Qô~G²]QôTNWCEC\`[íhF`[íKF]QPRF2`RBEm(NWCP[FGaIKC®`7G ñhP[FGaF(d`[F(JVLl!íhBEm7í,m(NWd×qTFjôg]\IhdKJ×BDdðü rtFtq WZX%zú u. vrwyx{zQ|Kß~}=ê0xk. LóF NQJhJLPRF(GRG>`[íKFñhPR]QqhCEFM. ]Wôm7íhFm tBDdhZj`RíhFGRNf`RBE0G ITNWqKBDCEB®`î]Wôq©]]\CDFNWdm]QM qKBDdKNW`[BE]QdKG6]Wô ñhP[BEMsB®`RBDï\F NQdKJOMONf`RíhFMONW`[BumNWCñhPR]Qñ©]\G[BD`[BE]QdKG(ú'S²F2`? q©F`RíhFjJL]QMONWBEd]Qô²FBD`[íhF(P/BDd`[F(ZQF(P dIKM q©FP7Q G ]QPPRF(NQC²dtIhMqTF(PRy G V>l!B®`Rí,`[íKF PRF(G[ñTFm&`[BEïQFG[F2`K PÚ]Qô
(29) NQP[BD`[íKMF`[BumNQC²]Qñhù FP7Nf`[]\PR G 18"J%9+Y]QQ P 18"J%$PRF(G[ñTFm&`RBDï\FCEîQ'ú S²F2V ` 1JhFdh]Q`[F`Ríhj F 9" NWdK] J : ,q©]t]QCEF(NWd ïcNQCDIKF(G(úYA BDï\FdÖ`RíhFG`7NWdKJhNQPRJ qT]t]\CDFNWd m]QdhdKF(m&`RBDï\F(_ G ?iNQdKJ MsNW`[íð]\ñTF(PRNW`[]QP7g G 11 8¡"¢8£8¤KVCDF1 ` ¥¦§¨ S +¨ U 8©"©8©J$q©F$N0G[F2` ]Qô/ñKP[BEMsB®`RBDï\F.
(30) ñhP[]\ñT]GaBD`[BE]QdTGVCEF2`ª«¬ S + U 8©8©"©a$NQdKJ¯®°±"² S 0² U 8©8©"©aPRF(G[ñ©F(m&`RBDï\FCEî0q©FN,GaF`]Wô dIKMF(P[BumNQCm2]\dKG`7NWd`RGBE d NQdKJ×ïfNWPRBENQqhCDFG]fïQFP`RíhFK$ú LóFOmNQCDP C ³)´µB¶·:µC¸8¹%º»`[íhFOMONf`RíhFMONW`[BumNWCF8EtñKP[FG[G[BD]\dKG qhIhBEC®`IKñÿôgPR]QM m]QdKGa`RNQd`RG(V ïcNQP[BuNWqKCDFGNQdKJNWPRB®`RíhMsF2`RBEm(NWC]Qñ©FP7Nf`R]QP7GY]fï\F? P ½¼ Nsm2]QdTG`7NWd`y¿\À½ªÿBEGNþÿNf`[íhù`RFPRMÁ F ² ¿ Àd®#BuG!NþÿNf`[íhù`RFPR M Á ¾ NïcNQP[BuNWqKCDK ® B ô u B G s N 0 þ f N R ` L í ù R ` F R P M t V [ ` h í ( F d r. ¾ S S BuG!Nsþ0Nf`RíLù°`[FPRMdÁ ® B ô V W N R P j F ÿ þ f N [ ` h í ù R ` F R P s M ( G t V [ ` K í F ð d Âö ~ ¾ S U S à U øBuGNsþ0NW`[íLù°`[F(P[MV à ÀÄ ? ú LóFjmNQCDÅ C ³)´µÂ¶9·ÇÆȹ%º1ÉÊJ´»j`[íhFjMONf`RíhFMONf`RBEm(NWC©ôg]QPRM IKCEN\G_qKIhBDCD`!]Qd'ñhP[BEMsB®`RBDï\F=ñKP[]\ñT]Qù GaBD`[BE]QdKG(Vhþ0NW`[íLù°`[F(P[MOG(VL]Qñ©FP7Nf`[]\PRG/NQdKJ$q©]t]QCEF(NQd×m]QdhdhFm&`RBDï\F("G ¼ ¾. NñhP[BEMsB®`RBDï\F1ñhPR]Qñ©]\G[B®`RBD]\d½¨ ¿ Àd¥ BuG!Nsþ0Nf`RíLùôg]\P[MIhCuNZÁ ® B 8¡8¢ ¾ ô\ S VY U NQP[F1þ0NW`[íLù°`[F(P[MOG(VL`[íhF(dÖö SyË&Ì U ø/BuGNþ0NW`[íLù°ôg]QPRM IhCuNhV ËÌ Àr11 ¾ ¾ ¾. 8£"¤K'Á B®ô\Í S BuG!NþÿNf`[íhùôg]\P[MIhCENKVt`[íhF(dTÍ S BuGNsþ0NW`[íLù°ôg]QPRM IhCuNZÁ B®ô\Í S VtÍ U NQP[Fjþ0NW`[íLù°ôg]QPRM IhCuNQG(Vt`[íKFdðöÎÍ S Í U øBuGNsþ0Nf`RíLù°ôg]QPRM IhCuNhú. Fh]QP/BEdKGa`RNWdTm2FQV¨ S ÿöaöβ S Ïq© W\øi¤ ö&l© WV2² o øaøNQdKJ_¨ U ½/öaö[ö&lV%² S øid<² U ø?¡MqQø_NWPRF. þ0Nf`RíLùôg]\P[MIhCuNQG(útU O]W`7Nf`RBD]\dKNWCECDî\V6lF0IKG[F0`[íKF0CD]flFP'mNQG[F0CEF2`[`[FP7GÐ%+ S "©J©H©Y`R] JLF(dh]W`RFóþ0NW`[íLù°`[F(P[MOG(V NWdKJ`RíhFA PRF"F 'CEF2`[`[F(PRj G ÑÒ+Ó~+Í?+Ô `[]×JLFdK]W`[Fþ0Nf`RíLù°ôg]QPRM IhCuNQG(úZLÓF IKG[F`RíhFGa`RNQdKJhNWP7J NWqhqhPRFïtBuNf`RBD]\dKGVT`[íTNf`1BE"G ¼ ^+Í i P ^/&ö Í S TÍ U 0ø `h V ^2Í 1 P ^2/Îö Í S S Õ Í U `$ôg]QÄ S Ö Í U `$ôg]\d Í U =ø `KY V ^2Í Í / ` g ô Q ] P Q 2 ^ / ö Î Í ~ Í ø 2 ~ / ö & Í ~ Í ø = h ` V Y ^ j ` g ô Q ] } P W N t d î f ï W N E C u B J g ô \ ] [ P MIhCuNhVNQdKJ S × U S U U S ^j`Oôg]\d P ^2~j`hú L#íhF(dÿ`RíhBEGjJL]tFG=dK]W`mNQIKGaFNWMqhBDZ\IhBD`[BEF(G(V©lFIKGaF`[íKFsN\G[G[]Lm2BuNf`RBDïtBD`î NWdKJýñhPRF(mF(JLF(dKm2F,PRIhCEF(GO]QôNWPRB®`RíhMsF2`[BumNQC]Qñ©FP7Nf`R]QP7G`[]ÖG[BDMsñhCEBDôgî `RíhFÿNQñhñTFNWP7NWdKmF]Wô þ0Nf`RíLù`RFPRMO8G ÁLF\ú ZTVLl_Fjl!PRB®`RÄ F ^(Îö S Âö ² U ز S ø Ø S ² o ] o ² v =ø `BEdKG`RF(N\J']QV ô ^öaöa&ö S QÎö ² U ² S ø[ ø &ö S 8² o øak ø &ö o 8² v øa=ø `Kú LóFm(NWCEk C ÙBÚtµC¸8¹Û¹+¸8µ:´µÙÎÈÚNMsNQÝ ñ Üðl!íhBum7íNQGRGaBEZQdT G ïfNWCEIhF(G_NWdKJOq©]t]QCEF(NQdïfNQCDIhFG
(31) `R] þ0Nf`RíLù`RFPRMOG!NWdKJþ0NW`[íLù°ôg]QPRM IhCuNQGPRF(G[ñTFm&`RBDï\FCEî$NWdKJ×ñhPRF(G[FPRïQFG_m]QdKGa`RNQd`RG!NWdTJ×NQP[BD`[íhù MF`[BumNQC]Qñ©FP7Nf`R]QP78G ¼ o ¾ Üö&¨ ¿ ø?À)1\Vôg]\P!FïQF(P[ ¿ Àd¥ÞÁ Ü ö&¿øÒN¿[VLôg]QP!F(ïQFPRîп\À½ª\Á ¾ Ü öβ°¿ ø?À½' VLôg]\P!Fï\FPRîÞ²¿\À®VÁ ¾ Ü Î ö Ü ö S ø Ã Ü ö U ø[ø&VLôg]\PNWCEC²þ0NW`[íLù°`[F(P[MOGP S Y V U NWdKJ à À)K ú ¾ S à U ø~ öJ ª/yË_(¯¢¯¢¸\¹1º\µ 1Ë>Ë\¾Q ¹®µ¯>Ë\YÌ6Ë\ µ?' ß (ÅÓ à µ¯ 7¯z¢µ³RµcQ¯>Ì_³&(1R| ¯z¢µ³RË
(32) ¾Q ¹®= (±KW(®(Î\µ\áKâ Ì6µµÎf=¾¾QµÏ Ë\>±u ¹ ¸\D_¯¢ ¹1³7 (¯z¢a®f¯ µµ½c\Ñ Ï\ѵ ãBá wyåç ä æè æ é ãBá w~êrë è æ é R³Ñ ·P [̹(½c'µ¢µO(Î\¸¯¢ ±/\ (aµ (óÌ6ËóË\³7 (¯za(f¯1t¾,Ë ºLRa2 (¯µ ñ ÎL (Ë1Ë_DÏ(¸t(Ï(/¯zQ¹ ÎL (tµ ìQí î ÑWx°±b³R&QÑ Ï\ѵWÌ/¾Q7 ÎfjË\¯(¹1Y¯zQ¹ ÎL (ï:ð?= ò î ã5ó w ð°ó ª é (t¾jË\2µË\¹1Rµ³_ (ºLRa
(33) µÐã ò î ã5ó w é ð ò î ã5ó ª é:é ÑWyËY¯(¹1_¾\µ¯¢³7 (¸\¯¢ Ë (®¾\¯
(34) ±u YË\!³7 \¯za(f¯~ôâöõ1$ ÷ t¾s®¯¢ j±E (6Ë! (ºLRa ¯ åVø åV ä øù ø+ú øû ø ê ¦ Ñ.
(35) ÷/íhF_qKBDdKNQP[îjPRFCuNf`RBD]\d½ü qTF`l_F(FdNBEd\`RFPRñhPRF2`RNW`[BE]QdQÜÓNWdTJN=þÿNf`[íhùôg]\P[MIhCENQÍ_Vfl!PRBD`a`[F(d ^&ÜMü NÍ`ö ^Üo»8´µ&Ù5»Âýi¸»ÝÍ`]\PÞ^&Ü G[NW`[BuG=ITF(G Í`\øBuGJLF8IKdhF(JN\GYôg]\CDCE]flG"¼ Ü«ü o¨ ¿ y¨ ¿ Ü«ü ö S ËÌ Ü«ü Í S Ü«ü öÎÍ S Í. Àd¥ þ<ÿ¬ÜöΨ ¿ ø~ øU ËÌ Àr11 8¡"¢8£"¤KPþ<ÿ¬ÜöÎ S ø ËÌ þ<ÿ¬Ü ü MÍ S øU þ<ÿ¬ÜNü MÍ S Á. 1Á Üö U ø%Á ÜNü NÍ U ©. LóF!GRNcîj`[íKNW`Njþ0NW`[íLù°ôg]QPRM IhCuQ N Í0BEi G »8´µÙ5»Âýi´8ÊJ¸BDô©NQdKJ]QdhCEî1B®ôT`[íhF(P[F/F8EtBuGa`RGNWdBDd`[F(P[ñKP[Fù `RNf`RBD]\dQÜÿG[IKm7í `[íKNW`ÜNü NÍúú ZKúEVB®ôZ°MVt`[íKFd1¨ S Ö ö[ö² S gl² U ø?¤ pY© qQøBuG>G[NW`[BuG=IKFJ qîNWd,BEd`[F(P[ñhPRF2`7Nf`RBD]\< d Ü#G[IKm7í`RíKNfP ` ÜÎö ¨ S P ø 'V Üöβ S øP X©HXQVTNWdKJÞÜöβ U øP WZ© húFh]\P FïQF(P[Ä î Í S NWdT) J Í U VlFsG[Ncî×`[íTNfÝ ` Í S ü Í U B®ô/NWdKJÿ]QdhCEî0BDÅ ô Ü ü Í U ôg]QPjFï\FPR< î ÜÜG[IKm7í `[íKNW ` ÜNü MÍ S 9ú LóFjNWCuGa]G[Ncî`RíKNfÝ ` ü NÍ#&ö ÍðBE G ´ÊÇÙ høBDô}NQdKJ]\dhCDîOBDtô ÜMü NÍðôg]QPFïQF(P[ î Ü!ú ` Í S ü NÍ U BDôNQdKJ']QdhCEîBD ô ü oÍ S Ö Í U VKNQdKJ`RíKNf1 ` ü NÍÖBDôNQdKJ ì `BEG/FNQG[îO`[]sïQF(P[BDôgîO`RíKNfy ]QdhCEîBD\ ô Í BEG/IKdKG[NW`[Bu=G I©NWqhCEFQú vrwyx
(36) 7ß~|Y. . ä
(37) ê |hä\ xØß~|. !#"%$! &' ()$*+$!-,.'/*01&. ; ³)´µÂ¶9·ÇÆȹ%ºgÉÊJ´jµÂ¶Z´µ7 ´ÚYÚȵ2 ¸<' ¸=7 ȺyÛYÈ »8¸>Ò Û¹+ÈÛZÈ· 2 #"%$! &' ()$3465 ¸87 ´ÊBÊ 9&(4: ´Ú+Q »ÙBµÙÎÈÚ ´ÊBÊ?;Ag @ µB¶Y´µ1Ù5»=@1´Ú+;¯³)´µÂ¶9·ÇÆȹ%º1ÉÊH´CBG¶YÈ »8¸TºÞ´ÙBÚ
(38) 7ÈÚYÚ ¸>7µÙD ¸)Ù5»dÚȵ<´EÈÈÊJ¸´Ú È2ÛY¸¹+´µCȹGFH 0 &'#,0 Ù5»Ø¸8ÙBµB¶Y¸¹¯´Ú ´µ:ȺJ=I ´LK (41&1M) ÊÇÙBµ:¸8¹+´Ê « N ȹTÙBµ&»TÚ¸P$ O ´µÙÎÈÚQ=I ´ $!.R)9&' M4 ÊÇÙBµ:¸¹+´Ê NF \EhNWMsñhCEF(G ]Wô_CDBD`[F(PRNQCEGjNWPRFQV ¨. öaö&l² S d² U ø¡ q\ø&ú ì ô S Vö¨ U V6ö² S MqZ© WT¤ lZ© W² o ø2Vk/ YBuG1N$dKFZ\NW`[BEïQFCDBD`[F(PRNQC~ÅÔV`[íKFdÓqîo^2Î`$l_Fsm2]\dtïQFd`RBD]\dKNWCECDîMsF(NQd)Ô P7Nf`[íKFP `[íKNQd \Å Ô úYÓ L FJLF(dh]W`RF qtî_¨Q= d ö& Í ø/`[íhFG[F2`]Qô>Nf`R]QMOG/BEdd Í ú 2 #"%$! &' ()$TS65 ¸U7´ÊBÊÒ´ &(+&0V&',/W&XY' R)$*:C.$Z&\[ Æȹд³)´µÂ¶9·ÇÆȹ%º1ÉÊH´ÐÍ. »¸8µ. ´. ö=Xcø S 8©"©8©2Ñ!]12ÅÓ S " ©8©8©82ÅÓ)^Ø2¨ S 8©8©"©+¨_P2¨_` S "©8©"©82¨ba $ »É+7¶<µÂ¶Z´µÅ¸G ¸8¹c;´µ:Ⱥ ÙBÚ¨Q= döÎÍ
(39) øjÈ'7>78ɹ» ´»Q¸ÙBµÂ¶Z¸8¹Q´?ÛYÈ »%ÙBµÙD ¸jȹQ´ÝÚ¸PO'´µ&ÙD¸QÊÇÙBµC¸8¹+´Ê [ { Ñ. ÙBÚ [ FdHCK 9 ,A&'04&G,/W&Xe'R4$*:C.$Z&f[ Æ È¹GÍÏÙ5»P´y»%É+»8¸µöÈ=Æ?´VµCȵC´Êµ¹%ɵB¶1´ »»%ÙgOÚtº<¸8ÚYµ ÆȹQÍhFiÂÆ [ k U j [ S @~µB¶Y¸ÚlBҸݻ8´;е¶Z´µ [ S dm&.$!* [ U ´ÚZ޵¶Z´µ [ U /!n*/!:E#o[ S F. H R` ]W`RNQCK`RP[Ih`[í'N\G[G[BEZQdhMsFd` [ CDBHQFö=XøYBuGYBEd`[FPRñhPRF2`RF(JN\G_N`[PRIL`[í'ïcNQCDIKF N\G[G[BDZ\dhMsFd`6`R] NWCECL`[íhF=Nf`[]\MOG]Wô Íi¼$Ñ ¿ À [ MsF(NQdKG>`[íKNW`iÑ ¿ BEGYNQGRGaBEZQdhFJ`R]1V'ÅÓ ¿ À [ MsF(NQdKG`[íTNf`~Ó ¿ BEG NQGRGaBEZQdKF(J×`[T ] úrtîtd\`7NQm2`[BumNWCECEî'BuJLFd`RBEm(NWC>BDdKGa`RNQdKm2FG]Qô
(40) `[íhFsGRNWMsFNW`[]QM;NQP[F NQCDl/NcîLG NQGRGaBEZQdhFJ$BuJLF(d\`RBEm(NWC`RP[Ih`[í,ïfNWCEIhF("G ÁhG[îd`7NQm&`RBEm(NWCECDî×JLJB m©F(P[F(d\`NW`[]\MsG(VLFQú ZKúEV²Îö S £ U ø/NQdKJ Âö U ¤ S ø&VNWPRF`[PRF(Nf`RF(JJLJB m©F(P[F(d\`RCDîNWdKJMONcî`RítIKG
(41) q©FNQGRGaBEZQdhFJJhaB mFPRFd`
(42) `[PRIL`RíïfNQCDIhFGú O]W`7Nf`RBD]\dKNWCECDî\VlFOIKGaF`[íhFA P[F(8F ÿCEF2`[`[F(PRG [ qpó`[]0PRFñhPRF(G[Fd`1`RP[IL`RíÖNQGRGaBEZQdKMF(d`RG(ú LóF1]Qôb`[Fdl!PRB®`RFN`[PRIL`[í,NQGRG[BDZ\dhMsFd` [ NQG`RíhFm2]\d rIhdKm2`[BE]Qd]WôBD`RG!F(CDF(MF(d`RG(úh÷²]s`RíhBEG FEt`[F(d\`VWlFG[Ncîj`RíKNf` [ BEGYG[NW`[Bu=G ITNQqhCEFBDô©`[íhFm]Qd rIKdKm&`RBD]\d]QôTBD`RG
(43) F(CDF(MsFd`RG
(44) BuG6GRNf`RBE0G ITNWqKCDF\ú.
(45) 2 #"%$! &' ()$s65 ¸g»8´;dµB¶Y´µV´µ:ȵ:´Ê\µ¹%ɵ¶ش»»ÙgOÚYºÞ¸8ÚYµ [ ÆȹÍtK ,( K (41& ()$!+0 01u '9& '"*. Ív@%B\¹%ÙBµ&µ:¸Ú [ ü xwjÍv@\Ù ÆK´Ú)ÞÈÚYÊ?;<Ù ÆVÙBµ~º<´y¸» Í ¸G ´ÊÇÉY´µ:¸µ:È @ŵ¶Z´µ~Ù5»>@Æȹ ´ÊBÊö»%É+8 ·ÇÆȹ%ºgÉÊJ´ »yÍ S 2Í U È0Æ Í<z. Í [ ü w Í S Q [ ü w Í S Í [ ü w Í S . S Àd¨y= Ä\ö&Í
(46) øiþ<ÿ U. þ<ÿ þ ÿ <. Í S À [ Á [ ü w Í S Á [ ü w Í S [ ü w Í. U ©. 5 ¸Ð»8´ ;TµÂ¶Z´µK´<ÛZ´¹%µ&ÙδÊÒµ¹%ɵB¶Ï´»»gÙ OÚYºÞ¸8ÚYµ [ K ,( K (41& ()$!+0 01u3'&' '"%# Í Ù ÆдÚ) ÈÚYÊg;Ù ÆP´ÊBÊZµÂ¶Z¸QµCȵC´Êµ&¹%ɵ¶<´ »»%ÙgOÚtº<¸8ÚYµ&» Æȹ\Í{BG¶9Ù 7¶Ð¸=|µ:¸8Ú) [ Û¹2È2ÛYÈ »%ÙBµ&ÙÎÈÚ´ÊBÊ?;Ý»8´µÙ5»ÂÆ>;. Í<F. FhPR]QM9dh]fl ]\dVKBDô6dh]Q`=Gañ©F(mBaITF(JVTl!íhFd0JLFNWCEBDdKZl!B®`Rí,ñhPR]Qñ©]\G[B®`RBD]\dKNWC²GRNf`RBEG0ITNQqhBDCEBD`î$lF. JL]sdh]W`JLBuGa`[BEdhZQIhBuG[í×q©F2`lFF(d$`R]W`7NWCNWdTJ'ñTNWP[`[BuNWCNQGRG[BDZ\dhMsFd`RG(ú LóFGRNcî`[íKNW ` Í BuV G Û¹+ÈÛZÈ»%ÙBµ&ÙÎÈÚ´ÊBÊg;)»8´µÙ5»Âýi´dÊJ¸1B®ô!NWdKJÓ]\dhCDîÿB®ô`[íhF(P[FsF8EtBuGa` NWdØNQGaù GaBEZQdhMsF(d\` [ GaITm7íÿ`RíKNf` [ ü xw_Íú ì d`[IhBD`[BEïQF(CDî\VBDôlFOm2]QdTGaBuJLFP1N,þ0NW`[íLù°ôg]QPRM IKCE N ÍÚN\G N0ñhPR]Qñ©]\G[B®`RBD]\dKNWC6ôg]QPRM IhCuN,BEdÖB®`7GNW`[]\MsG(V}`[íhF(d ü xwBuG`RíhFG`7NWdKJhNQPRJðGRNf`RBE0G ITNQqhBDCEBD`îóBEd ñhP[]\ñT]GaBD`[BE]QdTNWCCD]\ZQBumWú÷/íITGV}ôg]QPsFï\FPRÏ î Í S NWdT] J Í U VlF'GRNcîÓ`[íKNW< ` Í S ü w Í U BDô=NQdKJ ]QdhCEîÿBDô [ ü w Í U ôg]QP FïQF(P[î [ G[IKm7íÓ`[íTNf` [ ü w Í S k ú LÓFNWCuGa]0GRNcî,`RíKNf ` ü w Í Îö Í BEG Û¹+ÈÛZÈ»ÙBµÙÎÈÚ ´ÊBÊ?;L ´ÊÇÙ hø BDôNQdKJÿ]\dhCEî,B®ô [ ü w Í#ôg]\PjFïQF(P[î,N\G[G[BDZ\dhMsFd` [ ôg]Q P Íú ì `1BEG F(NQG[î'`[]$ï\FPRB®ôgî'`[íTNfj ` Í S ü w Í U BDô_NWdTJ]QdhCEîB®V ô ü w Í Í V W N K d J R ` K í f N ` Þ ü ÍýB®ôYNQdKJ w S Ö U ]QdhCEîBD\ ô Í BEG/ñKP[]\ñT]GaBD`[BE]QdKNQCDCEîOIhdKGRNf`RBE0G ITNQqhCDF\ú O]W`RBEmF1`[íTNfg ` ü xwBuGGa`[PR]QdKZQFP`[íKNQ] d ü VK`[íKNW`BuGVTB®Ò ô Í S ü xwÍ U VT`[íKFT d Í S ü {Í U VKqhIL` dh]W`1ïtBEmFï\FP7G[NK)ú ú ZTúDV
(47) Îö ² S ¤{² U ø ðÎö ² U ¤{² o ø ü 9Âö ² S ¤ ² o ø2VqhIL`Âö ² S ¤{² U Å ø ÖÎö ² U ¤ ² o V ø ü xwÎö ² S ¤ ² o ø&ú N Í?¼ } |9´ºQÛÊJ¸~F e_]QdKG[BuJLFP/`RíhFjôg]QCECD]fl!BEdhZMONf`[íhùôg]\P[MIhCE< ͯ{/ö&l² U ز o ¡MlQø Õ ¨ S Ý ¨ U Õ öl² S rp²K¡ n\ø t öÎn² S ¯l² U ¤ nø Õ ¨ U / ö&l² o ϲ v £MqQø Õ /öÎn² S ز o ¤«\ø Õ ¨ S ¨ S\Õ ö&n² S Ïl² U ¤«n\ø t ö² S r²¤ Xø Õ öβVNqj¯n² v ø Õ ¨ S ¨ S\Õ öβ o Nn² Ïptø Õ ¨ U '©. . ÷/íhFj`[PRIL`[í,N\G[G[BDZ\dhMsFd`/ZQBEïQFd×qtîO`[íKF1IhdKJLF(P[CEBDdKF(J×CDBD`[F(PRNQCEG!NQqT]fï\F=BuG"¼ /öl² U ² o ¡MlQø2¨ U (ö&n² S Ql² U ¤«n\ø%ö² S ²K¤ Xcø%2/ö&n² S ² o ¤ ø%(öβ o Mn²Vptø'© O]W`RBEmF`RíKNf``[íhF$`l_]ó]Lmm2IKP[PRFdKmF(G1]Qô öÎn² S «l² U ¤ nø1BEdÖPR]flGnÿNQdKJ]q]QôQÍÛNWPRF qT]Q`[í,NQGRGaBEZQdKF(JÄ ú [ BuGNWdNQGRG[BDZ\dhMsFd`!l!íhBEm7íñhPR]Qñ©]\G[BD`[BE]QdKNQCDCEîG[NW`[BuG=ITF(G ÍVKNQG/BD`G[F2`RG `[]`RP[IKF ]QdKF CEB®`RFP7NWC>]Wô6Fï\FPRî×JhBEG rIhdKm2`[BE]QdÿBEd) Í ú O ]Q`[Bum2F`RíKNf` [ BuGdh]Q` GRNf`RBEG0T I NWqKCDF\V©N\G [ . qT]Q`[í×`[íhFjôg]\CDCE]fl!BEdhZOGaIhqhùzN\G[G[BDZ\dhMsFd`RG]Qô [. töÎn² S Ïl² U « ¤ n\ø2/öl² U r² o ¡«l\ø%/öÎn² S r ² o ¤«\ø% tö² S r²¤ cX ø%ö² o on²Òçpø%/öÎn² S ز o ¤ \ø%. JL]sdh]W`íKNcï\F NQdtî$G[NW`[BuGôgîtBEdhZsBDd`RFPRñhP[F`RNW`[BE]Qdú. ö&l\ø öÎnø .
(48) ; µÂ¶Z´µ ´e7 ÈÊBÊJ¸>7 µÙÎÈÚl [ S "©8©"© [ TÈ=ÆIJÛZÈ»2»%Ù 8Ê?;1ÛZ´¹%µ&ÙÎ´Ê N 2 #"%$! &' ()$-W65 ¸Ý»8´½ ´ »»%ÙgOÚtº<¸8ÚYµ&»?Û¹+ÈÛZÈ»ÙBµÙÎÈÚ ´ÊBÊ?;½»8´µÙ5»ÂÆ>;ÙBÚ#OgÍ Ù5» d(4: K 0 d& Ù ÆÝ´Ú)_ÈÚYÊ?;_Ù Æ. ü xwKÍ × [ © BG¶Z¸8¹+¸1¸´d72¶Ø´ »»%ÙgOÚtº<¸8ÚYµ [. . öÂptø. Ù5»B\¹%ÙBµ&µ:¸8ÚØ´ »´7ÈÚG%ÉÚ)78µÙÎÈÚrÈ0ÆÙBµ&»¸8ÊJ¸8º<¸8ÚYµ&»GF. BEGm2]\MsñhCDF`[F BDd$`[íhFjG[FdKG[F`RíKNf`V\ôg]\P_F(ïQF(P[î`[]Q`RNQC©N\G[G[BDZ\dhMsFd`vpG[IKm7íO`RíKNf`<pü w Í_V `[íhF(P[FF8ELBEGa`RG [ Àe GaITm7ís`[íKNW` [ j pú÷/íKFPRF2ôg]QPRFx BuGYNm]QMsñKNQm2`YPRFñhPRF(G[Fd`RNW`[BE]Qd ]Wôh`RíhF/l!íh]QCEFG[F2`
(49) ]Qôh`[]Q`RNWCLN\G[G[BDZ\dhMsFd`RG}ñhPR]Qñ©]\G[B®`RBD]\dKNWCECEîjGRNf`RBEGaôgîtBDdKZjÍúO]Q`[Bum2Fíh]flFïQF(P `[íKNW¯ ` üHü üHü
(50) BuG$l]QP7Ga`aù¢mNQG[FF ELñ©]QdhF(d\`RBENQCBEd#`[íKFÿGaBEnFó]WÝ ô ÍVY`Ríh]QIKZQíý`îtñhBumNWCECEî MIKm7í GaMONWCECEFP/`[íTNWd'`[íhFG[F2`]QôNQCDC`R]W`RNQCNQGRGaBEZQdKMF(d`RG!GRNf`[BuGaôgîBEdh< Z Íú. [ S 8©"©8©" [ )È=ÆÞ´ »»%ÙgOÚY· 2 #"%$! &' ()$T65 ¸1»´;dµB¶Y´µV´e7ȺQÛÊH¸µ:¸U7ÈÊBÊJ¸>78µ&ÙÎÈÚ º<¸8ÚYµ&»<Û¹+ÈÛZÈ»%ÙBµ&ÙÎÈÚ´ÊBÊg« ; »´µ&Ù5»ÂÆ>; ÙBÚ.Ï O Í Ù5» $*(4$W,.*/!$*!+$Z& Ù Æ1Æȹϸ¸8¹c; [ À@ [ Ù5»)Ú ÈçºÞȹ2¸67 ȺyÛ ÊJ¸µ:¸1 < @ ÙBµ<Ù5» ,.!/*$!*$Z& ȵ¶Z¸8¹cB\Ù5»8¸'FV Ù5» '&G,(4$*R)01u @ Æȹ¸ ¸¹c; [ ¿ [ À6 @ ö [ [ øjÙ5»iÛ¹+ÈÛZÈ»ÙBµÙÎÈÚ ´ÊBÊ?;½ÉÚZ»8´µÙ5»Âý~· $!()$=,#*/*$!*$Z& Ù Æ=Y S U ´8 ÊJ¸'F. F 2PTV\NWdTJO`[íTNf`(V ì `BuGYFNQG[î `R]ï\FPRB®ôgî`[íTNf`(VtBDô! BuGYPRF(JLIKdKJhNWd`VQ`RíhFd [ ¿ j [ ôg]\PG[]QMs B®W ô BuGYGa`[PR]QdhZ\CDîdh]QdLùzPRF(JLIhdTJhNWd`(VW`[íhF(dB®`BEGYdh]Qdhù°PRF(JLIKdKJhNWd`
(51) `R]]TVQqhIh`Y`[íKFïtBEmFïQF(PRGRN JL]tF(G/dh]Q`íh]QCuJú } |9´ºQÛÊJ¸\#FQSF`QÍç¼Ç. ö&Ñ Õ Ó ÕU ø óöÎÑ Õ Ó Õ ø2VYÑ_VZÓðNWdKJ qTF(BDdKZNf`[]\MOGúh÷/íhF(d. XQúj ÑÒ+Ó~ '8Ñi0Ó~ $Ñi2ÅÓÒ ' ÑÒÅÓ~2 '8 Ñi0Ó~ $ÑÒ+Ó~2 jBEG`[íKF GaF`]WôNWCEC`[]Q`RNWCN\G[G[BEZQdhMsFd`7G_ñKP[]\ñT]GaBD`[BE]QdKNQCDCEîGRNf`[BuGaôgîBEdhZÞÍ?Á lLúj Ñ~$Ñi0Ó~' ÑÒ $ ÑÒ+Ó\'8"Ó\$"ÓÒ2 ' ÑÒ $Ó~ BEG
(52) m]QMsñhCEF2`[F/qhIh`6P[Fù JLIhdKJKNWd`"Á nhúj Ñ~$"Ó~j BEG!m]QMsñhCEF2`[F\Vhdh]\d'PRF(JLIKdKJhNWd`!qhIL`dK]W`Ga`[PR]QdhZ\CDîOdh]\dLùzP[FJLIhdKJhNQd`"Á pKúj Ñ~$ Ñi0Ó~j BEGm]QMsñhCEF2`RFjNQdKJG`RP[]\dhZQCEîOdh]\dLù°PRF(JhIhdKJhNQd\`ú ÊJ¸8µW [ S 8©"©8©8 [ 2 ¸´27 ȺyÛ ÊJ¸8µC¸ ! X .(4,#:4k ¸8µkÍ32 ¸´<³T´µB¶·ÇÆȹ%ºgÉÊJ´Ð´Ú)g 27 ÈÊBÊJ¸>7µÙÎÈÚ)È0ÆQµ¹%ɵ¶_´»2»%ÙgOÚYºÞ¸ÚtµÎ»Û ¹+È2ÛYÈ »%ÙBµÙÎÈÚ ´ÊBÊ?;<»8´µÙ5»ÂÆ>;ÙBÚ#OÍ<F8 ¶Z¸8ÚÐÍMÙ5»y»8´µÙ5»Âýi´8ÊJ¸ Ù Æ´ÚZ_ ÈÚtÊ?Þ ; Ù Æ [ Ù5»K»8´µÙ5»Âýi´8 ÊJ¸iÆȹ»8Ⱥ<¸ [ ÀeF DS. 2 . *9n% 01&>uE$*T(): K 0 #m1&>u. UNcïtBDdKZ$Nþ0NW`[íLù°ôg]QPRM IhCuNÐÍV©B®` BEG NWCElNcîLG!ñ©]\GRG[BDqhCEF1`R]ÐIKdKJÿNm2]\MñKCDF`[Fm]QCECDFm&`RBD]\d,]Wô G[NW`[BuGôgîtBEdhZN\G[G[BDZ\dhMsFd`RG6ôg]QPP# Í ö~G[FF=CENW`[FP&ø&úL÷/ítIKGYôgP[]\M ÷/íhF]\P[F(M = X l_F=íKNcïQF`[PRBDïtBuNWCECDî. `[íhFjôg]\CDCE]fl!BDdKZô~N\m&`ú. ¶Z¸1»8´µÙ5»Âýi´d ÙBÊÇÙBµ ; Û¹+Èd ÊJ¸8º°Æȹ<´Þ³)´µB¶·ÇÆȹ%ºgÉÊJ´ÄÈ ¸¹g´µ:Ⱥ1»gÈ=Æ´ A, ( K ()' &'(4$t4. O ÙD¸Ús78ÊJ´ »»_Ù5» '¸=78Ù ´dÊH¸dÙ Æ_´ÚZ¯ÈÚYÊg;TÙ Æ޵¶Z¸_»8´µÙ5»Bý?´8ÙBÊÇÙBµ;rÈ=Æл8¸µ&»_È=ÆÐÊaÙBµC¸8¹+´ÊÇ»½È=Æе¶Z¸ »´º<¸87 ÊJ´ »»ÝÙ5» ¸>87 Ù ´8 ÊJ¸F.
(53) Fh]QPjBEdKGa`RNWdTm2FQV`RíhFOG[NW`[BuG=I©NWqhBECDBD`î,]WôN'G[F2`1]WôCDBEdhFNWP1m2]\dKG`RPRNQBDd`7G]\dØ ]\Pj]QdØ Vt]QPjN GaF`]Wô
(54) dh]\dLù°CEBEdhF(NQPm2]\dKG`RPRNQBDd`7G!]QdTÜ BuGJLFm2BuJhNWqhCEFQVTl!íhBECEGa` NG[F2`=]Wô
(55) dh]Qdhù°CEBDdKF(NWPögñ©]QCEî\ù dh]QMsBuNWCbøm2]\dKGa`[P7NWBEd\`7G!]QdTý BuG=dh]W`jJLF(mBEJhNQqhCEF$ö~G[FF\VTF\ú ZTúDV>ü pW¡VWZXb ø2úe_]\dKG[F(õIhFd`RCDî\Vh`[íKF G[NW`[BuG=TI NQqhBECDBD`î]Qôþ0Nf`RíLùôg]\P[MIhCuNQG
(56) ]fï\FP6CEBDdKF(NWPm2]\dKG`RPRNQBDd`7G
(57) ]QdÐý ]\PY]QdÐ V]QP_]fïQF(P
(58) dh]QdLù CDBEdhF(NQPm]QdKGa`[P7NWBEd`RG1]\d]Õ BEGJLF(mBEJKNWqhCEFQV>l!íhBECEGa` `RíhF'GRNf`RBEG0T I NWqKBDCEB®`îÓ]WôþÿNf`[íhùôg]\P[MIhCEN\G ]fïQFP/dh]\dLùzCDBEdhF(NQP!m2]QdTG`RPRNQBDd`RG]fï\FP BuG!IhdTJLF(mBEJhNQqhCEFQú Fh]QP`[íhF×JLF(mBEJhNQqhCEF$mN\GaFGV²N\G Ga`RNQdKJhNWP7JÓqT]t]\CDFNWdØôg]QPRM IKCEN\GNWPRFN0Ga`[PRBEm2`G[Ihq©m(NQG[F W] ô þÿNf`[íhùôg]\P[MIhCEN\GVBD`Oôg]QCECD]flG`RP[BEïtBENQCDCEîØ`[íTNf`$JLFm2BuJLBDdKZó`RíhF0GRNf`[BuG0ITNWqhBECEB®`îÖ]Qô þ0NW`[íLù ôg]QPRM IhCuNQGBuGÞ^[NW`/CEF(N\G`N\G/íKNWP7JZ`NQG/q©]]\CDFNWdG[NW`[BuG=I©NWqhBECDBD`îQú A, ( K ()' &'(4$sS ¶Z¸yÛ¹2È8ÊJ¸º§È0Æ ¸>78Ù ÙBÚ#O½µÂ¶Z¸Ý»8´µÙ5»Bý?´8ÙBÊÇÙBµ;È=Æ1´<³)´µÂ¶9·ÇÆȹ%º1ÉÊJ´gÍ Ù5»x¢b£?·&¶Z´¹F. ÷/íITGV©JLF(mBEJLBEdhZ$GRNf`RBE0G ITNQqhBDCEBD`î$BuGm2]\MñKIL`RNW`[BE]QdKNQCDCEî$ï\FPRî$F ELñ©FdKG[BEïQFQú©÷/íhF m]QMsñhCEF ELB®`î Ihñhñ©FPqT]\IhdKJsMONcîJhFñ©FdKJO]\ds`[íhFVtBDdKJs]QôMONf`[íKFMONf`RBEm(NWCKñKP[]\qhCDF(MOG
(59) l_F=NWPRFJLF(NQCDBEdhZTú Fh]QP!BEdKGa`RNQdKm2F\VBDôl_F1NWPRFjJLF(NQCDBEdhZsl!B®`Rí×NQP[BD`[íKMF`[BumNQCF ELñhPRF(GRGaBE]QdKG_]fïQF(P/qT]\IhdKJLFJ$BEd`[F2ù ZQFP7G(VQ`RíhFd$ôg]QP/Fï\FPRK î Ü l_FjmNQd$ï\FPRB®ôg î ÜMü NÍðBEd'Nñ©]QCEîdK]QMsBENQC©NQMs]QIhd`/]Wô`RBDMsFQVLNQdKJ `[ítIKG/`RíhF1ñhPR]QqhCEFMBuG!NWCuG[< ] O=X
(60) ù¢m2]\MñKCDF`[FQú ¤. ¥. è~x²åyxk|hä
(61) êa⧦ x}ç9ë$xä|+¨tw¬zQ|hßh¨ x²ç©y|Zx. ÷/íhF]\P[F(c M XNWCECE]flGIKG
(62) `R]GañhCEBD`6`[íhFdh]W`RBD]\dO]WôG[NW`[BuG=ITNQqhBECDBD`î ]QôN1þÿNf`[íhùôg]\P[MIhCENKÍóBDd`R] `l_]s]QP[`[íK]QZQ]\dKNWCm2]\MsñT]\dhFd`RG"¼ N Û É¹+¸Êg;ªÈÈÊJ¸´ÚØm2]\MsñT]\dhFd`(V
(63) m]QdKG[BEGa`[BEdhZ0]Qô`[íKF'F8EtBuGa`[FdTm2F$]QôN0ñhPR]Qñ©]\G[BD`[BE]QdKNQC d Ms]tJhFCôg]\PyÍiÁ N Û É¹+¸8Ê?;¯º<´µB¶Y¸ºÞ´µÙ 7´Ê
(64) m2]\Mñ©]QdKFd`(V
(65) m2]\dKG[BEGa`[BEdhZÓ]Wô`RíhFFELBuG`RFdKmF']Qô=NWd BDd`RFP[ù ¾ Ä ñhPRF2`RNW`[BE]Qd'ôg]QPNsG[F2`]Wô
(66) Nf`R]QMsBumö~ñT]G[G[BEqhCDî$dhFZNf`[FJKø_MONf`[íKFMONf`RBEm(NWCñhPR]Qñ©]\G[BD`[BE]QdKG(ú ¾. ÷/íhF(G[F1`l]NQG[ñTFm&`RG=NWPRF1íKNWdTJLCDFJV©P[FGañ©F(m2`[BEïQFCEîQVKqîNĵ¹%ɵB¶)´ »»%ÙgOÚtº<¸8ÚYµy¸8ÚYɺ޸¹2´µ:ȹ NWdKJ'qtî' N º<´µB¶Y¸ºÞ´µÙ 7´Êk»ÈÊ?¸¹&ú 2 #"%$! &' ()$s«65 ¸b7 ´ÊBÊ ´ &G,/!&'XC R)$!:C.$Z&b#$/*:C#,9&'(4, ´1µCȵC´Ê"ÆÉÚ)87 µÙÎÈÚ¬® G¯1°!± ²±³´µ¶Z·9¸¹W¶ºBG¶Ù 72¶TµC´y¸»Ý´ »KÙBÚÛɵP´<³)´µÂ¶9·ÇÆȹ%º1ÉÊH´ÝÍ{´Ú)й+¸8µ&ɹ%ÚY»K´U7Ⱥg· ÛÊJ¸8µC¸7 ÈÊBÊJ¸>87 µ&ÙÎÈÚ) [ S "©8©8©" [ È0Æ´ »»%ÙgO ÚYºÞ¸ÚtµÎ»j»8´µÙ5»BÆ>; ÙBÚ.< O ÍhF. O]W`RBEmF$`RíhFJLaB mFPRFdTm2F×qTF`l_F(Fd Nÿ`[PRIL`[í NQGRGaBEZQdKMF(d`FdtIhMsF(PRNW`[]QPNWdKJ NÿGa`RNQdKJhNWP7J Tq ]t]QCEF(NQd×G[]QCEïQF(P"¼tNqT]t]\CDFNWd'G[]QCEïQF(P/íKNQG_`[]gIKdTJ¯ÈÚYÊ?;_ÈÚ¸/GRNf`RBEGaôgîtBDdhZON\G[G[BDZ\dhMsFd`v»ý]\P `[]$JLFm2BuJLFj`[íKFPRFBEGdh]QdhF» l!íhBECDFNWdFdtIhMsFP7Nf`R]QP!íKN\G/`[]ÐIKdKJ,Nl7ȺQÛÊJ¸8µ:¸72ÈÊBÊJ¸>7µÙÎÈÚ ]Wô
(67) G[NW`[BuGôgîtBEdhZNQGRGaBEZQdKMF(d`RG(úÎö LóF l!BDCEC}G[íh]flÚCuNf`RFP!íh]fl G[]QMsFjqT]t]QCEF(NQd,Ga]\CDï\FP7Gm(NWdq©F M]LJLJB IKFJ$`R]OqTF1ITGaFJ'N\G/FdtIhMsFP7Nf`R]QP7Gúø LóFGRNcîs`[íKNW ` ¬'¯1°W± ²±W³´Vµ¶Z·9¸¹!¶,BuG. »%µ&¹+ÈÚ#OÊ?;QÚ ÈÚt·:¹+¸>ÉÚ)'´ÚtµfB®ô+¬''¯1°W± ²b±³´Vµ+¶Z·9¸¹!¶öÎÍ
(68) øBuGGa`[PR]QdhZ\CDîdh]QdLùzPRF(JLIhdTJhNWd`(V. ¾. ¾ ¾. ôg]QP!F(ïQFPRî_ÍV. ÚÈÚY·:¹+>¸ ÉZ Ú ´ÚY µ BDô¼¬''¯1°!± ²b±³´µ¶Z·9¸¹W¶ö&ÍøBuG!dh]\dLùzP[FJLIhdKJhNQd`_ôg]\P!FïQF(P[î½Í_V ¹+¸>ÉÚZ´Útµ]W`RíhFPRl!BEG[FQú.
(69) Ľ½9¾À¿WÈ#ÁLÂÃÄ.ÅÆÈÇ9É%Ê ËÀÌ#Í'ÎGÏÐ.ÑÀÒUÓ ø ÒdÔÔ>Õ1Ö×ÏØ× óÚÙsÛ ø Õ1× ó ØcÎÜ.Î'Ø ó Ò ó Õ1ÍG× Ù ò Ý Þ)½ Û ß åáà Øcâ óã Éhã>ã=äÀå)æ ç%æèéÚêdë.ÃÄ9ì+ë ã Ó é:é+íAî \RÒW6® Û w øèÇèÇèaø Û4ï ¦ î'í ðÀñ ãòÛ åá ä à Ð9ÑòÑ é ò ß å  ÃÄ9Å4Ç9ì+óPô4êdë òã Û é õ ö÷ ð ¾À¿ ã:ã ò åEà Ð9ÑòÑ é È.Á)Þ ãòÛ åá ä à 9Ð ÑÀÑ é:é ðÀñ ã ò åá 9 Ð À Ñ Ñ é ä à Æ ÷ ¿ÿ Á ÇGW¿ ÆcT ø Ç'Ásù /0@$. õ ¿u¾ Å>O ¿ ÇW¿ Æc© ø ÇGÁû)ü , (2. õ ý ðÀþ Ê ÿÊ. íAî bú|~¯µ¯zÙLε(¯¢¯¢µÏ\¹17f
(70) ±u (¸t¾ 'î í ú |~¯2®¯zÙt(Î\®¯¢¯¢µÏ¹1RW6±E ¸¾ Gî í Aí î \ o. Q³aË7¹ (±Ë\/Ï7\Ra(µ7&¾s¯¢7³aËOº\ f³7&¾Q¸\±E (vú!|¯2µ¯zÙL(Î\µ®fÑ. ¸ Z¹
(71) !µ¶ 2 #"%$! &' ()$65 ¸b7 ´ÊBÊ ´ :C9&X!.:C&' d0*'()01M)d, ´1µ:ȵ:´ÊÆÉÚ)87 µ&ÙÎÈÚC·9 B ¶9Ù 7¶«µ:´'y'¸%»T´ »dÙBÚÛ Éµ1´r»8¸µ<È=Æ6IJÛZÈ»»Ù 8Ê?;ÏÚ ¸O$´µ:¸>>Nç´µ:ȺgÙ 7ij)´µB¶·ÇÆȹ%ºgÉÊJ´ » [ ´Ú) G ¹+¸µÉ¹%ÚZ»´ÚØÙBÚYµ:¸¹Û ¹+¸µ:´µÙÎÈÚ)»8´µÙ5»BÆ>; ÙBÚ.O [ i @ È¹Ä ÎPÙ ÆKµÂ¶Z¸8¹+¸Ù5»ÚÈÚ ¸'F. ÷/íhF0ZQF(dhFP7NWC=G[m7íhF(MONØ]Wô NÖG[F(NQPRm7í ñhPR]tmF(JLIKP[F,ôg]\P$GRNf`[BuG0TI NWqhBECEB®`î BEG$P[F(ñT]\Pa`RF(JýBEd F}BEZQIKP[FgXQúC·9¸® )¬Ü`7N\F(G/NQGBEdhñhIL`N ôg]QPRM IhCuNgÍÖNWdKJÓögqtîOPRF2ôgF(P[F(dKm2FcøYNQd'BEdhBD`[BuNWCECDî FMsñL`îjNQGRGaBEZQdhMsF(d\` [ NQdKJ1NWd1BEdhBD`[BuNWCECDî dtIhCECQBEd\`RFPRñhPRF2`RNW`[BE]Qdy! Ü úh F ]\P²Fï\FPRî=N\G[G[BDZ\dhMsFd` [ Í ø&Vá·9¸Z®)¬ BDdj`RíhFYm2]\CDCEF(m2`[BE]Qdg [ S 8©H©J [ 6 ZQF(dhFP7Nf`RF(J=qîo¬'¯1°W± ²±W³´Vµ¶Z·9¸¹!¶öÎ
(72) BDdtïQ]'Q FGá·9¸Z¹
(73) !µ+¶$]fï\FP [ V\l!íhBum7íOFBD`[íKFPP[F`[IhPRdKGYN BDd`RFPRñhP[F`RNW`[BE]QdGRNf`[BuGaôgîBEdhZ [ V ]QPÄ Î6 BDô`[íhF(P[FBEGjdK]QdhF\ú÷/íhBEGjBuG1JL]\dhFIKd\`RBDCYFBD`[íhF(P1]QdhFsG[NW`[BuG=© I NWqhCEFN\G[G[BEZQdhMsFd`jBEG ôg]QIhdKJV]QP dh]'Ms]\P[FsNQGRGaBEZQdKMF(d`RG NWPRFNcïfNWBECENQqhCEF BEdç [ S 8©H©J©H [ ú ì dÿ`RíhFôg]QPRMF(P m(NQG[F Í BuGG[NW`[BuG=© Ö I NWqhCEFQVtBEd'`RíhF1CuNf`[F(PmN\GaFjBD`BEG/dh]Q`(ú á·9¸Z® )¬ ñTF(Paôg]\P[MOG×Nf`M]G`ÏüJü üHY ü CE]t]QñKG(ú/÷/íITGV/BDô Fï\FPRî m(NWCEC=`R]C·9¸® Z¹
(74) !µ¶`[F(P[MsBEdKNf`RF(G(V`RíhFdá·9¸Z® Z¬ `[F(P[MsBEdKNf`RF(G(úþ0]QPRF]fïQF(P(VB®`>ôg]QCECD]flG²ôgPR]QMÛ÷/íhF2ù ]QPRFM¬X`RíKNf`á·9¸Z® Z¬ BuGm]QPRP[Fm&`_NQdKJ$m]QMsñhCEF2`RF=BDô á·9¸¹
(75) *µ¶×BEG/m]QPRP[Fm&`_NQdKJ m2]QMsñhCEF2`RFQú O]Q`[Bum2F`[íKNW`(VBD`jBuG dh]W`jdhFm2F(GRGRNWPRî$`R]×m7íhFm×`[íhFl!íh]QCEFsGaF` ]Qô6`[]Q`RNWC>`RP[IL`Rí NQGRGaBEZQdhMsF(d\`7G²GRNf`RBEGaôgîtBDdhV Z Í_VP7Nf`[íKFP²BD`BEG}GaILòmBDF(d\`}`[] m7íhF(m jNWd NQP[qKB®`RPRNQP[î m2]QMsñhCEF2`RF_m]QCDù CDFm&`[BE]Q d ]Qô²ñKNWP[`[BuNWCN\G[G[BDZ\dhMsFd`RG_ñhPR]Qñ©]\G[B®`RBD]\dKNWCECEîsGRNf`RBEGaôgîtBDdKg Z ÍVLl!íhBum7í$BuG`îtñhBEm(NWCECDî M IKm7íGaMONQCDCEFPú. F X/BEG ì `6BEGï\FPRîBDMsñ©]QP[`RNQd\``R]1dh]W`RBEmF/`[íKNW`
(76) `[íhFG[F(NQPRm7íñhP[]LmF(JLIhPRF!G[m7íKFMON ]Wô F}BEZQIKP[K 2m ]QMsñhCEF2`RFCEîsBDdKJhFñ©FdKJLF(d`]\dO`[íhFVtBDdKJ]WôMONf`RíhFMONf`RBEm(NWCJL]QMONQBDdlFNQP[F NQJhJLPRF(GRG[BDdhZTV ]QdKmF lFíKNcïQFNMONf`RíhFMONf`RBEm(NWCGa]\CDï\FP!ôg]\P=BD`(ú÷/íhBuG=MFNWdKG`[íKNW`=`RíhF F8ELñhP[FG[G[BEïBD`î×]Wô á·9¸Z® )¬V(`RíKNf`BuGV`[íKi F tBEdKJ]QôKMONf`[íhùôg]\P[MIhCEN\ G C·9¸® )¬#m(NWdíKNWdKJhCDF\VcJhFñ©FdKJhG ]QdhCEîs]QdO`RíhV F tBEdKJO]Qô²GaF`RG]WôMONf`RíhFMONW`[BumNWCNf`R]QMsBumñhPR]Qñ©]\G[B®`RBD]\dK G C·9¸Z¹
(77) !µ¶×mNQd íKNWdKJhCDF\ú W. W/! &'9n%0 ¬G¯1°!± ²±³´µ¶Z·9¸¹W¶ . ÷/íhFôg]\CDCE]fl!BDdKZ NWPRF/`[íhF Ms]\Ga`_G[BDZ\dhBaI©mNWd`Yq©]t]QCEF(NQdOP[FNQG[]QdhBEdhZj`[Fm7íhdhBuõIhF(GY`[íKNW`_lFmNQd NQJhNQñL`/`[]Oq©F1IKGaFJ'N\G!NQGRGaBEZQdKMF(d`/F(dtIhMsFP7Nf`[]\PRG(ú.
(78) OBDD α Τ (α) {α}. α F (α). Τ(β) Τ {−α,β}. DPLL search graph. Tableau Search Graph. β F(β). α. β −γ. γ. β α. β −γ. α α. β −γ. {α} {α,β} {α,−γ} {α,β} {β} {β,−γ} {α,γ} {β,γ}. −α. {α} β {−α,β}. −β γ. F. ÊKÊ Ô/» À/À fy©(ε&¸¯¢7³aË Ïa(º\Ë(t¾!#" $%$ׯ¢&³aËÏ(aºË1±u >Ë
(79) ±E (¹ ¸\®Ýã'&(*)( é, ã'&-(!).(-/ + é Ñ. +. ý ðÀþ. 21032 ÷/íKFG[BDMsñhCEF(Ga``RF(m7íhdhBuõIhF lFm(NWd,IKG[FN\GNQd0FdtIhMsFP7Nf`R]QPBuG`[íhF4ÝÙ5»D%ÉÚZ7µÙD ¸ ¢È¹%ºÞ´Ê65Gȹ%º I74¢85Nsm2]\dï\FP7GaBE]Qd²úHñhPR]Qñ©]\G[B®`RBD]\dKNWC6ôg]QPRM IhCuNÄÍ mNWdðq©F$m]QdtïQF(Pa`RF(J. BDd`[]Nôg]\P[MIhCu N 9:<;OÎö Í
(80) ø/qtîÓögBbø/P[Fm2IhP7G[BDï\FCEîNWñhñhCEîtBDdKÐ Z bFþ,]QPRZ\NQ% d = G/PRFl!PRBD`[BEdhZOP[IKCDFG `[]<ÍðIhd`[BEC`[íhF PRF(G[IhC®`/BuGNJLBuG1rIKdKm&`RBD]\d']Qô}m2]\drIhdKm2`[BE]Qd×]Wô²CEB®`RFP7NWCuGVtNWdTJóö~BDBbø_P[F(M]fïtBEdhZ NWCEC>JLIKñhCDBumNW`[FJ0NWdKJÿGaIhqTGaIhMsFJ0JLBu1G rIhdTm&`RG(ú÷/íhF PRF(G[IhCD`[BEdhZôg]\P[MIhCENBEGdh]QPRMONWC°VKBEd0`[íKF GaF(dKGaF `RíKNf ` 9:<;O&ö Í
(81) øBEG/ñhPR]Qñ©]\G[BD`[BE]QdKNQCDCEîOF(õIhBEïfNWCEFd`/`[Þ ] ÍVKNWdKJ$`[íTNf`ñhPR]Qñ©]\G[B®`RBD]\dKNWCECEî F(õIhBEïcNQCDF(d`ôg]\P[MIhCuNQG/ZQF(dhFP7Nf`RF`RíhFGRNWMs F bVOVF Ms]LJLIhCE]sP[F(]QP7JLFPRBDdKZKú ^_î b8F IKdhBD`[BE]QM d pTV6l_F0m(NWd G[FFÖög`[íhFÿG[F2`']Wô1JLBE G rIhdKm2`RG$]WôR ø 9><;OÎö Í
(82) øN\GNðm2]\Mù ñhCDF`[FNQdKJÿdK]QdLùzP[FJLIhdKJKNWdb ` »ýqhIh`dh]W`Ga`[PR]QdhZ\CDî,dh]\dLùzP[FJLIhdKJhNQd§` » m2]\CDCEF(m2`[BE]QdÓ]Wô/NQGaù GaBEZQdhMsF(d\`7G ñKP[]\ñT]GaBD`[BE]QdKNQCDCEîóGRNf`RBEGaôgîtBDdKØ Z Í\ ú Fh]QPBDdTG`7NWdKmFQV>BD{ d \EhNWMsñhCE½ F lLV}`[íKF×G[F2`]Wô NQGRGaBEZQdhMsF(d\`7G NW` ñT]\BDdÞ ` lLúNWdKÏ J nKú>NQP[FPRF(G[ñ©F(m&`RBDï\FCEîÿ`RíhF$PRF(G[IhCD`RG ]WôGa`[Fñ ögBbø NQdKJ#ögBEBuø NWq©]fïQFQú ú}HæM]\P[FO8F m©Fm&`RBDï\Fdh]QPRMONWC
(83) ôg]\P[M5ôg]QPP[F(ñhPRF(G[Fd`[BEdhZ,N,q©]]\CDFNWdÓôg]QPRM IKCENBDô ? 2 2 ZQBEïQFdØqtîó`[íhFA@?¹=¸8¹+¸>CByÙBÚ´¹c;C4g¸=78Ù5»%ÙÎÈÚD4ÙδGO¹+´º1»I@EBE484»PNü ^PRîGF'°V>l!íhBum7íÖNWPRF FEt`[F(dKGaBEïQF(CDîýIKG[F(JÚBDd íKNWP7JLl/NWPRF0ïQF(P[JB ITm(Nf`[BE]Qd NQdKJ Ms]LJLF(Cjm7íKF(m tBDdKZKú!A BDï\Fd NÖ`[]Q`RNWC ]QP7JLFPRBDdKT Z ² S "©J©H©J+² ]Qd `[íhFNf`R]QMOG]QV ô ÍV>`[íhT F [ P ^ bVb9PRFñhPRF(G[Fd`[BEdh) Z Í Iö HKJ.9:9ÿÎö Í
(84) øaø BEGN JhBDPRF(m2`[F(J NQmîtmCDBum0Z\PRNQñhí G[IKm7í `RíKNf`ðögBbøFNQm7í dK]tJhFóBuG×FBD`[íhF(P']\dhFó]Qô`[íKFÿ`l] `[FPRMsBDdTNWC
Documenti correlati
If something goes wrong, for example the patient is overcorrected or the patient has an adverse re- action to the injectable filler, be accessible and understanding. Most
3.. identify learning objectives, acquire a detailed knowledge and understanding of the topic, and apply the information to the problem, then it is important to use methods
Market- ing: the staff should be aware of the aesthetic procedures offered and should be able to give some information about the use of botulinum toxin.. Staff
It is possible to build electronic logic gates that Interpret high voltage as true and low voltage as false Implement logic operations like nand and nor. Figure: A logic circuit
In a metric space, the intuitive concept of “aroundness” is certainly given by the concept of “ball”: the points of a ball “stay around” the center of the ball itself. However
Tondi, “The Source Identification Game: an Information Theoretic Perspective", IEEE Transactions on Information Forensics and Security, Vol. Tondi, “A Universal Attack
[r]
Exploiting the concept of central element, we extend the notion of Boolean power to that of semiring power and we prove two representation theorems: (i) Any pure nBA is isomorphic