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Compiling Pattern Matching in Join-Patterns

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(1)Compiling Pattern Matching in Join-Patterns Qin Ma, Luc Maranget. To cite this version: Qin Ma, Luc Maranget. Compiling Pattern Matching in Join-Patterns. [Research Report] RR-5160, INRIA. 2004. �inria-00077047�. HAL Id: inria-00077047 https://hal.inria.fr/inria-00077047 Submitted on 29 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) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. Compiling Pattern Matching in Join-Patterns Qin Ma. Luc Maranget. N° 5160 5th April 2004. ISSN 0249-6399. ISRN INRIA/RR--5160--FR+ENG. THÈME 1. apport de recherche.

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(9) §  y’~ Q—S&_ACJL p u A H U

(10) o ¯&MaACJR¤Nb˜ARH œc o Q o†W cJ@_L U œ p Q U L`uNAN¤Z_ UXW u U LNBBšL`Q o†W c ‡+W ca\ Q o†W cacaA pqp AN¤ _ UXW u U LNBBL`Q oqW cn\ W ca\RM UXU ACc–QKAN¤ ACH ¯5M o†] L p ACca\ A%bLNcaJ p ACJ>\RL p \RM p J>bPA’_ U W \ ACJXJ MaJR¤ YˆWo c9‰Š\RL p \RM p.

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(16) ¤_ W _ U ACo ¯&MaACp JKQXJ>L U A%baA o p LCSNYKACWb@o  p p QJ M bŽA™c Q \ ACb£Q L`QLkJ B L JKQXLNƒ\ \\RLNc A B_ ACBACc–QKACb c c9‰Š\RL \RM MaJ ‹ o Q = W MPQ _L`QKQKA U c‚L U uMaBACc&QXJR¤MJ o cPu o caJKQKACLNbnQ = +A „0 $†ˆ‡‰ \ W caJXQ U Ma\ Q WN‡ [ƒ¡V• ^>_N`baPt nLu@C  v q ¢ e‹ŠTŒ a hP   b ¢ pŽf c Œoj 8  vzlPl €‚P¢ r>s aPt nLu@ Cv q ¢ egcf c Œoj  w: xwEn n z¢ pf c Œj  @vzl}l<w:n ¢   @ d  a  c a r>s ¢ egf Œj ‘ b ¢ p „0 $†{‡‰ wEn’G“ †‰•” kmlPl €x‚•– d xk q ¢ e‹ŠTŒ a hP   ¢ ” kzlPlkon – d@ @k q¢ egf c Œj  @kon ¢ ‘"W  ]9o o†W MaJ p SN¤ao Q = Ap JKAC\ W cabkU bPARœc o= Q oqW c U AC¯5M o†U ACJW B WNU A c _ UXW u U U LNBW B o cPu5A — WNU pqQRo ’[ WNU A W^] A= U ¤ o Q = o J c Q BBW ACb L`U QKA S3L`= _a_fL ACc–] QŸU Q ‡ L`oqQ p BACJXWNJXU L`uNACJ Vc U f pqp ŒjL A“W c o c9‰¥AC=B_aQ—S o†]JKQXJRp ¤PLNcab™WN‡ Q L`Q Q U A „˜ $†{‡‰ \ caJKQ Ma\ Q Q MaJcPA A L J>[ A“uNACcaA L SN¤aACc\ b cPuQ A“AC¯5M L ACc–Q _L`QKQKA c L U uMa™NBWo ACc&QXJ o c o WNUo†W b o caL U S o YK= Wo  c™W \RLNcƒA“¯5M o QKA“\RMU B%UA U J W BAN Ušo c ‡+WNU BL pp S o c ‡ Mca\6‰ 9 c Š ‰ a b R A  œ c Q  c % J ‹ Q \  c K J X Q N L – c

(17) Q  ¢  _ ` L K Q K Q A ® c L  u a M  B C A & c X Q  J ` L a _  _ C A L Q oqW caW&LW p = cPARQX3Jo , LD š$-¥ W € = A YKW= o A U A3uNACcPAU U L pqo›X AšQ == oo J o bPACLƒQ W‚‡ M pqp U _L`QKQKA U ca= JRo œ5ACU BšLNc–Q o \RJ W U ACBp L o cao J J B p Q ¤J o ca\ Axo†W    Q WNU c9‰¥o _L`QKQKo A cBšo†W L`QX\ cau W LNc] bŽU _L`QKQKA co BL`o QX\ p cPu ACJKQMPo†W _ cŽo \ LNJXWNJ U ‰ \RL JXMPfJKQ QXMPQ c JKACB ‰ŠMac œf\RL`Q cf¢

(18) Ÿ  ž ‹˜A A ¤ QA  š\ ACc&Q B_ ACBACc–QXL`Q c JšB A &. '. ¡C¢¤£¥.¦C£A§¨ ©@£ˆª{«x¬®­5£A¯±°ƒ²q³}¦@´LµQ«°ƒ¶q·¸¹º³®¬»¦@«x¦ˆ¼$½¬¾«x¿ . ¨T£ˆ¬®µ.À+Á °µ.à x .# ¨T£ˆ¬®µ.Àb¬®µ$Ä$¶yÅ5Å. ƺÆ. µTÇ:È ÉˆÊNË.

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(23) %$'&( )+*$-,. T `L QKQKA U cJŸLNcab ] L p MaACJL U A#fM oqp Q˜Q = A’MaJXMaL p ‹L;S3LNJ   ‹A pqp ‰ŠJ WNU QKACbf¢VQKA U BJR¤ W;] A U \ W caJKQ U Ma\ Q WNU o U p U o Z W U W] p U = ] ]J L uU cao L`L` QXM p ACJ ACJ˜o c bPo ARQRœ¤NcPLNACcabšb &‹˜SA L U ACuNJKARQ U o \ L Qh\>L pqbp–L`] QXL L%U

(24) o Q—L`S& _p ACACJ JR o c%cšL\_L`c&QKQQKA LNU cJKQQ A o cPu>L _fMPL ACo†JCU ¤–‹ _o L`JXAVQKQKb A o JKcQ J˜o caB\ QRL;¤ZS \RL pL p ACb A po cPACL U ­[ WNU A W;] A U ¤˜_L`QKQKA U caJBL;S-\ W c&QXL o c‹ oqp bP‰Š\RL U baJ o c-_ p LN\ A WN‡ J W BA ] L U o L` p ACJ ‹m = ] ACcnp caLNBAC  J WNL‡ U A o†U U A p A ] o LNc–QR¤aLNocabƒL_L`QKQKWNA ‡ U c‚BLCS U WN‡ \ W   M WNU ‡ JXA“\ W c–QXL o ckJK= A ] A U L = p ‹ U oqp bP‰Š\Ro L U baJR L MPA QŠS5_A X¢ JLNc caJKQXLNc\ A _L`QKQKA c / QŠS5_A K¢%‹ ACc£Q A AIA O JXQXJL J o MPJKQ o QXMaQ o†W c ¤J Ma\ = o o†Q W = L`Q pp / o f o Z c ] W Q U = o A U p ‹ WNU W bJR¤_L`QKQKU A U Wc WN/Ž‡ baACJXZ \ U o = ACJŸ‡”Q W= pqpqA W _ U o ARœPO WN‡ caJKQXLNca\ A ¤NLNcab%LNbb Q caL S cabaJ QXJ L L` ACJQ JXMaP‰¥QKA BJ  c Q A ‹ cauP¤;‹A ‹ U o W QKA   /¢ ‡”WNU U Q =   A’JKARQ WN‡ Q = A o caJKQXLNca\ ACJ WN‡ _L`QKQKA U •c /  € A = L ] A’Q = A ‡”WpqpqW ‹ o cau U A p L`Q oqW caJ LNB cPu_L`QKQKA cJ JKARA , DN D -+¢

(25) • T L`QKQKA U cW/ ] LNcab / "L U A o ca\ W B_L`Q o  p A   / ] / R¢ ‹ = ACc   / ] ¢   / ;¢ 5 T L`QKQKA U Wc / ] o J p ACJXJŸ_ U AC\ o JKA’Q = ACcn_L`QKQKA U c /   / ] / R¢ ‹ = ACc   / ;¢   / ] ¢

(26)  T L`QKQKA U caAJ / ] LNca+b / ŸL U A \ W B_L`Q o  p AŸ‹ = ACcQ = ARS J = L U A L`Q p ACLNJKQ W cPA o caJKQXLNca\ AN < ‹ W \o W B_L`Q o  p A_fo L`QKQKA   U caJŸLNbaB   o QL p ACLNJKQŸMP__A U  W Macab   ‡”WNU ¢‹ U o QKQKACcy/ ] / `¤9‹ = W JKA caJKQXLNc\ A“JKARQ J / ] ¢ / ;¢

(27)  /. 0. 21. 23. 43. 45. 658791. 1. 1. ;:. >=. <. @?. A=. <. A=. /:. GF. A=. 6BC:. /:. >= 7ED. A= IHJ:. A=. <. G:. MB4:. A=. F. LK. >=. NPOÆNRQ.

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(30)  !  " $#. T `L QKQKA U caJ0/ ] LNcabW/ L U A%AC¯&M oq] L p ACc&Q   / ] / ¢ ‹ = ACc   / ] ¢   / ¢

(31)  Z ‡ J W ¤Q = A o†U p ACLNJKQ Ma_a_A U  W Macb o JŸQ = A o†UŸU AR_ U ACJKACc&QXL`Q o†] AN¤‹ U

(32) o QKQKACc•/m/ Z U cIBL`QX\ = o cPu o J bPARQKA U B o c o JKQ o \`¤&A ] ACcI‹ = ACcx_L`QKQKA U caJŸL U A W^] A U p L`_a_ o cPu   6@@=  ¤ ƒ [ ­ ¡ f _ ` L K Q K Q A \ W B_L`Q o  p A^¢

(33) V[ WNU A“_ U AC\ o JKA p SN¤a\ W cJ o bPA U Q = A ‡”WpqpqW ‹ o cau[‚¡ _fL`QKQKA U cƒBL`QX\ = o cPu „˜ $†{‡‰¤j ’ “ †N‰3”S/ ] – ] ”S/ – ” ”S/

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(35) T L`QKQKA U Wc / o J BL`QX\ = ACbn&SxQ = A ] L p MPACJ o c™JKARQ   / ¢     ]    /  ¢K¢LNcab W c p Sš5SšQ = W JXAN Z c W Q = A U ‹ WNU baJR¤u o†] ACc3J W BA ] L p MPA f¤–_L`QKQKA U caA J / ] P¤ / ¤ P¤ /

(36) L U A \ = ACI\ \NACb ‡”WNU = L ]9o cPu LNo J LNc = o caJXQXLNo†ca] \ AN¤ o = c“Q = L`Q WNU bPA U ¤N  JKQ W _ao_ o cP= uLNJ1J = W5WW p cLNJ LWNB‡ ] L`QX\p = o J  ‡”WNW ‡Mac= b@_W L`QKQKAo U cU BL`QX\ = o cPu J A O LNMJKQ A“‹ ACc ]  

(37) /  ¢ J Q A%‹ A“JKARQ L MPACJ Q A“\ cJ bPA ACbIQ—S&_A^¢

(38)  =. <. =. :. >=. A=. 7 =. =. :. =. :. R:. =. 1. ;1. :. -

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(41) %$. &( )%*$-,. m Q Q = A“Q o BA WN‡YKWo c9‰¥_L`QKQKA U cƒJKS5c\ = UXW c oX L`Q o†W caJR¤ W cPA J = W M p bxQKACJKQBACJXJXL`uNACJ#L`uL o caJKQŸ_fL`Qˆ‰ QKA U c L U uMaBW ACc&U QXJ’Q ‡+W WNU L ]NWo b= o ca‡”WL`pq_apqW _ UXW o _ U o YKL`WQKoABACJXJXL`o uNAšo†W \ W cJXMaB_aQ oqW caJR <>= A U A ‡+WNU AN¤J MP_a_ W JKA ‹A“‹ LNc–Q Q Q LNcaJ B Q A ‹ cau c9‰ŠbaARœc Q c•   ^>_N`"!   / b ] ¢ e$#   ¢bp&% ]   ! r>s / ;b ¢ e j ¢bp&%  U o o ‘o’M bPACL WNJ‡ Q W U ARœU cPA™\ = LNWNcU cPA p ! o c–Q W B WNU An_ U AC\ o JXA W caACJR¤˜ACLN\ = WN‡ ‹ = o \ = \RL UXU o ACJQ = A caJKQXLNca\ ACJ _L`QKQKA cGJ / ] /  ^>_N`"!('   b ¢ e$#    z¢ p)% ] ¡   ( !  ' * r>s b¢ e j z¢ p)% < = ACc@¤‹˜ALNbab LIcPAR‹ U ACLN\ Q oqW c U M p A Q W b o JK_L`QX\ = Q = ABACJXJXL`uNACJ W c­\ = LNcacPA p ! Q W A o Q = A U !+' ¡ WNU !('* • r>s ! 8  v q ¢ p•„0 $†ˆ‡‰ v’G!+' “ †N‰   ”A/ ] – ¡ †† ¢   †† ¢  ' * ! ”A/ – ”-,– < = A#c W QXL`Q o†W c JXQXLNcabaJ ‡”WNU Q = A’c5M pqp _ UXW \ ACJ JR¤&5Sš‹ = o \ = ¤&BACJXJ L`uNACJ Q = L`QŸL U A o caJKQXLNca\ ACJ WN‡ caA o Q <>= A= U / o ] c WNp U / W "\RLNcnoqp A’o†W JXL ‡ A p S™W;] b o JX\RWNL U U bPACb@ UX‡ p pqW ˜ A J  B _  A \  B _ ` L Q c ` L   A ‹ \5Jh_A AC\ Q SN¤NLNJ cPuLNJ / ] LNca b / L U A o ca\ W B_L`Qˆ‰ o p ‡+WNU p o ‡ pqp = WNU = W ] U = ] W W o ‡ M U ANQ /= A .UŸc U ARœQXcPMaACcBL`ACQKc&A QXSNJ>¤ \RLNQ c L = LNJVcaJ b p A"QQ= ‹ o JŸJACo c QXMa/ L`] Q o†LNW cacb  / L A"\ BB c caJKQXLNca\ ACJC ž ‹A A ¤   Q / 10 / ] ¢

(42) ¤1Q = L`Q o J o†‡ L pqpVo caJKQXLNca\ ACJ WN‡ / šL U A o caJKQXLNc\ ACJ WN‡ / ] ¤ Z—‡ / ] W / Z¤ Ma=  WN‡ o o o U c / "B MJKQ>\ W BA%œ U JKQR• = *324 Q ACc@¤PQ uNARQ#L\ LNca\ A BARARQ cPu QX4 J caJKQXLNc\ ACJR¤P_L`QKQKA V >=. =. =. =. =. D. 4D. >=. =. >=. <. F. >=. >=. F. A=. >=. $¥ ¬®­N°ƒ³»£{µ.ªˆ£ÃL¸Q£ˆ¦oµ$¸«¹x£<Ã$¥$ªˆ£±«x¸ ¦@«C¹x¥.ª«x¥$¹°³$£ ¥°ƒ³»¬¾«´z¨T£ˆªˆ°¥.¦C£¸ƒ·K­N°I¹x¬ °ƒ¨.³®£ˆ¦:¹x£ˆµ°ƒ²q¬®µ.À ¸ƒ¹o«´5$¬®µ.À687.¸¹ ¬»µ$¦@«°µ$ªˆ£N¼L½±£ ¿°<­5£ 9;: < =/:¿.£{¹x£º½±£ ¦@«°ƒ«x£ >+: < =?;: < =@=. ƺÆ. µTÇ:È ÉˆÊNË.

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(44) Q rKs.  @v ¢bp•„˜ L†ˆ‡‰. !. v’G“ †‰.   †† ¢   †† ¢ ~ MPQ%c W ‹“¤ \ = LNcacPA p  ' ¡ b W ACJ%c W Q%\RL UXU S L pqp Q = Aš_ W J J o  p A o caJXQXLNca\ ACJ WN‡ _L`QKQKA U c / ] LNc–S9B WNU AN¤ = o cJKQXLNca\ ACp J“U J = L U ‡+ACWNb U 5S oq_W L`QKQKWNA ‡ U c|= / o L o U Ašo b pfo U JK_L`QX\ o†=W ACb­U Q Wp  'o *  m ‡+J WpqLƒp†W \ W caJXA ‰ ¯&MaACca\ AN¤aQ A“LN\ QXMaL Q LNcaJ BL`Q c Q A c Q L ACLN\ Q c M ACJ J>LNJ ‹ JR• ^}_N` !'   ¢ e$#   z ¢ p)% ] ¡ rKs !'*   ¢ e$#   z ¢ p)% ]      ' * ! rKs ¢ e j z¢ p)% ‘#= JKA U ] pA#! Q = L`Q c W c9‰ŠbPW ARQKA U B o c o JXB o J o c = W ‹ U’B U WNU A"oqA W O9_ Upqo \ p o QR•hLN€ c o cJKQXLNca\ = A WNU WN‡ / #JK= ACc&Q W c \ LNccPo A o†W \RLNpqco p A \ cJXMao BACbk5o SnAYKWQ o A ACLN\ U Q c M AN A\RLNc­J QKACc‚Q AcaAR‹ bPARœc Q cIL QKQ A"5SxMJ cPu rKs c c9‰¥_L`QKQKA caJR• ^}_N`   !('   ¢ r>s !(' *   †¢Kq ¢ e$#   z¢ p)% ] ¡      !  ' * rKs ¢ e j z¢ p)% Z—‡ / = =o = o†UŸU AR_ U ACJKACc&QXL`Q o†] A o J ACc W MPu = • ] / ¤PQ ACcnBL`QX\ cPuš&SxQ A   ¢ p&% ] ^}_N` ! ' '*   q ¡   ¢ e #   z rKs ! ' ¡ '* q ¢ egvj ’G “ z¢ p&% @   v ! rKs ¢ p•„˜ L†ˆ‡‰ †‰ ! ' '*   b ”m/ ] m/ – ¢ ¡ ”A/>=)– ”A/ ] – ” ,y–. !('* !(' ¡. D. =. =. >=. =. =. <. =. ” y , –. >= D. o pqp o†‡ o = U WNU o ] U= p = Wp o = W\ caBL _L`SNQ ¤ o  p ANca¤PA Q Q = ACA cnLN/ c™] A O9Q/ U ˜Lc BšL`QX/ \ = o cau/ ]&Sx_baL`QKJRQK¤ZA ‹ U cVQ / ] / ] / LNcab¤o J>/ cP˜ARACbPA ACcPb@u#• cPA A Q A ACJ J ^}_N`   !('   ¢ r>s ! ' '+*   ¢K¢ e$#   ¢zp)% ¡ ¡ ] rKs   ! '*   ¢ r>s ! ' ¡  ' *   ¢K¢ e j   ¢zp)% rKs ! @  v b ¢ p•„˜ L†ˆ‡‰ v’G“ †‰ ! ' '*   ”A/ ] / )– ¢ ¡   ( ! ' ”A/ ] – ¡ †† ¢ ”A/ )– !('*   †† ¢ ” ,y–  W Q o \ A“Q = L`Q>Q = A U A p L`Q o†] A WNU baA U>WN‡ / ] LNcab / o J o†UXU A p A ] LNc&Q = A U AN Z c’Q = A1Q U LNcaJ ‡+WNU BL`Q o†W c U M p ACJ@L` W;] AN¤`‹A_L o b po QKQ p A1L`QKQKACc–Q oqW c“Q W>] L U o L` p ACJ o c’_L`QKQKA U cJR¤ 5S‹ U o Q o cau !('   ¢6 € Aƒc W ‹ baACB W caJKQ U L`QKA ] L U o L` p AnBLNcaL`uNACBACc–Q3&S BACLNcaJ WN‡#W M U <. Y. A=. GF. A=. >=. F. K. A=. =. LK. A=. >=. D. A=. NPOÆNRQ.

(45)  

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(47)  !  " $# š. JXo QXLN\I=\ƒA OPLNB_ p AN= žU A U AN¤Q = A U A p   A ] LNc&Q_fL`QKQKA U caJ’L U A¤/ ] WN‡o LNcb/ kmlPlkon U LNcao bk‹A o L U WA p ARc-QQ b o AIJK_\RL`LNQXJX\ A™= o ‹ cPu A ‡”W A3\RMa/ J ] W c / o cJKQXLNLNcaca\ b An/ \ = AC0 \I\ /o cP] uP¤˜ACLN\RcLNb£MaJKQ A W _A UXc‡”WNJKUQXBLNca\ ] A L U ,o -+L`¢

(48)   p A3‘’ M o cab bPo caACuƒL L J ‡ QKQA U JXS5ca\ = UXW c o›X L`Q o†W c@• ^>_N`baPt nLu@@  v q ¢ e   fKhEiKhEj    ¢ rKs fKhEiKhSj   ¢K¢bp3„˜ L†ˆ‡‰ +’ “ †N‰)– fKhEiKhSj  @vmlPl ;¢ r>s aca  8d ¢ egfTh:iKhSj    ¢qp3„0 $†{‡‰ Ž’G“ †N‰ kzlPlkon – d@ @k ¢begfTh:iKhSj  @kn ¢ r>s fKhEiKhSj 8  v q ¢ p•„0 $†ˆl}‡l ‰ v’G“ †N‰ ” , ,– fKh:iThEj   8v ¢ ” ,y– fTh:iKhSj 8  v ¢ ‘’cPAo BLCo S’W A pqo A ] A1Q = L`QU Q = AV<>Bš= L`QX\ W= o cau oqWNp ‡ U#Q =o A_‡ L`QKQKA U c W kAlPl{k= n cPARAC= baJQ W A= _o A UX‡”WNWNU ‡ B ACb"QŠ‹ o o \ AN¤ fkmMPl}Q l{koQn  J W c Q#cPW AC\ ACJ pqJXo L SN A W \ ‡ Boq_p m A c W LN\ ˜Q \5c ‹ JQ L`W QQ A BL`QX\ cPW u UXL`‡”WNuU L cJKQ = A U AN¤ W c p cxSkJKQ AC= \ Aca b o cab cPo caA^u ¢h\RWNLN‡ cQ c = AQ _L L`QKQK A U c JV]L%L \ U o L`c JKACp AC¯&JRMašACca[ \ WNANU¤5A c W;] A QKU AC¤hJKQQ = cPAARACA baO Jo JXQ Q o cPu A>W __aA Q o B o BXCo cPACb u _fL`QK= QKA U c o BL`QX\ o†= W o cPu­\ W Bo _ oqpp A U WN‡ ,U DN5Do ->\RLNc£= A = ‡+W&Wp W ACb o c–oqp Q W _ UXW baMa= \ o o cau‚o B o c =o BL p \ o†] W bPA ‡+WNU J Ma\ LšJ QXMaL`Q cI5SIJ B_ SšLNJXJKA Q cPuQ L`Q>Q A \ B_ ACbIBL`QX\ cPu J A O LNMaJKQ AN    > XA ( 

(49) %$&1> X *ƒ *' < W A O9_ U ACJXJ’_fL`QKQKA U c BL`QX\ = o cPu o ck W Q = Q = A YKWo c9‰¥_fL`QKQKA U caJ’LNcab Q = AuML U bPACb­_ U W \ ACJXJXACJR¤ o UXW o†W WN‡ = YKWo p p = o = pp = pqo YK‹WA o c9‰Šc&\RQ L p \RbaM Map Ma\ JRAŸ¤ZLN5caS%bLNJKcaQXL Mp†bPW SuNS“LN‹co A Q O5= QKACˆcaQ = J A L`c __ pqoQ ACb A /‰Š\Rc9L ‰Šp \R\RML p \RMaM J Ma,Jh5D ‹-¥ <>\ = A ‹˜L`_aA _ \RpL o ACb ACbYKWQ o c9A ‰Š\RL`L _ap \R_ M p ACMab J fM oqp baJMP_ W U c’Q = AV_M = U o A YKWo c9W ‰Š\RL p U \RM p MaJ , .g -¥¤`LNcab’A O9QKACcabaJ o Q@‹ o Q = \ W caJXQ U Ma\ Q WNU JR¤ ] L p MPA ‰¥_LNJXJ o cPu LNcb™_L`QKQKA cnBšL`QX\ cau\ caJKQ Ma\ QXJC

(50)    < = AVJKS9c–QXLZO WN‡ Q = A˜L`_a_ pqo ACb YKWo c9‰Š\RL p \RM p MaJ o Ju o†] ACc o )c Y o uM U AD` W caJKQ U Ma\ Q WNU J WN‡ L p uNAR U L o \ bW L`QXLQŠS5_ACJ € = L ] A LNcnL U o QŠS™oLNcabnoL U A U LNcPWNuN‡hACb] W^U

(51) ] o A U p 5SU  m \ W W;ca] JKQ U U Ma\ Q WNU ‹ o Q = L U o QŠS™j o JŸL \ cJK< QXLNc–W QR A%LNJXJXMBA%o LNc caœcWNU QKo A"JKARQ U o L UXW L` ACJR¤ LNcPuNUACb o†W A 5S  U P m = Uœ JKQxu ‹ p LNcacP\ ARAN‹ ¤  JKS5W Qc&= QXLNA \ O9Q _ \U AC\RL`JXJ QKoqARW u caJ3ACLNJ"cb„L A_fL`QKc&QKQ A U cabaJIMa\ L ACU b@A •QKA A O5U B_ JIACJX\ J W cacJKQJ U LNMaca\ QKb‚ACb _L`‡”QKU QKW A B caJC]  L U o L`Q" Q p ACA J LNcb \ = W ca] JKQ U W M\ Q WNU o†JRW ¤h‹ p = A U oqA p ®BU L`QX\ = ACJ Q = AšL U U o Q—S o†UWN‡ \ W cJKQ UU Ma\ Q WNW U Ž pqo ž W ‹U A ] A U ¤1_L`QKQKA U UcJ BšLCS = o L A o \R\RLNJ caL ‹ b9U ‰ŠW \RL baJR¤LN= cao b‚= ‹˜A AC¯5= M A = _L`] QKQKA p caJ#WNQ‡ = A cPACU L ’o†W [‚¡ _L`o QKQKA c Bšpo L`QXWN\ ‡ cau JU LNbabPACbxWNLNU J W^L%] _ U \ o ACJXJCW ¤&‹ U \ BWL`WNQXU\ oACJ Q U A L MPA Q o AA YKO9W_ o ACJ J p cxp L`uL ca= JKQU L UL JKAšQ QŠ‹ _W L`B QKQKWNA U AcaJCU VLN[b o \RL Ap A O9A QKAC¤ caJ cxo†W \ cJRc&• Q œ LNU JKJKQŸQRQ¤ BACJXb JXL`cauNL AIS\ W cac–LNQKBACc&A QX‰¥J _fLNJXACJ \ cPW Bu AšA c9O9‰Š_ \RU L ACJX\RJM oqW MacaJRJR¤–¤Q Q = A L`AQ = 7. 7. CF. A=. A=. F. . .. . ƺÆ. -$. µTÇ:È ÉˆÊNË. 6$. !) M ". 0.

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(53) Q. •†• . 7. { « } § yCy § y c&M pp _ UXW \ ACJXJ o BACU JXJXpqL`p uNp A JKACcab cau _L L o A oqW bPARœc Q c U [ƒ¡-_L`QKQKA cnBšL`QX\ = o cau « @© ¬ § z ”« y ACU B_aQŠo†S™W bPARœfc o Q o†W c ACLN\ Q c b o J Y Maca\ Q o†W c « @© |PzCz § { y BACJXJX= L`UXuNW A _o X L`QKQKo†A W U c JKS5c\ c L`Q c. .  ¢. D.  . e  ^>_N` “   ’ “ N† ‰‹”./ – „0 $†ˆ‡‰  G ] . •†• . ] ” ±”./ Ÿ–. .

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(56) P¢ \ W caJKQ U Ma\ Q WNU _L`QKQKA U c { § yCy ”« y •†• ] L U o L` p A   ]   

(57) P¢ \ W caJKQ U Ma\ Q WNU A O5_ U ACJXJ o†W c Y o uM U AD`•zœ5S9c&QXLZO WN‡ Q = A%L`__ pqo ACb YKWo c9‰Š\RL p \RM p MaJ o JR¤&‹A = L ] A ] L p MPA ‰¥_fLNJXJ o cPuP›9JKAC\ W cab¤5‹ = ACcIL \ = LNcacPA p caLNBA o J˜bPARœfcPACb o c3L YKWo c9‰¥_L`QKQKA U c@¤ ‹A%L <>p J= W U JK_AC\U o†‡ S3‹ W = L`QŸo _L`QKQKWNA ‡ U cno Q = A“o BACJ JXL`= uNA \ W c&QKACo c–o†WQ#J = W UXM W p bxJ L`Q ^>o _NJ `‡ SN “ o pqp = =\ LNcacPA A p caALNL BA ACJQŠ‹ baARœ\ cPACcb baJo c    ca^ b , cau-+JR¢ •˜o cxQ Q A = A’bPARJXœf\ W c _Q A WNcƒ‡ _ ›P‹ \ AC= JXoqJ p A>Q = A U ACLN\ Q o†W  c caU baM Jp A L p Q A WNU Q = A[‚¡ _L`QKQKA U c BL`QX\ = o cPu „˜ L†ˆ‡‰ ’G“ †‰ ”P/ ] – ] ” ”P/ –  o cab‚L pqp Q = A pqW \RL p] L U o L` p ACJ   s , - WNU s , /-+¢ o cIQ = A%JX\ W _A WN‡ WNU  ¤ –D 

(58)   <>= AŸbPARœc o Q o†W caJ WN‡ Q = A>JXARQ WN‡ baARœcPACb\ = LNccPA p caLNBACJ ^ , -¥¤&Q = A>JKARQ WN‡p†W \RL p9] L U o L` p ACJ s , -¥¤ LNcb­Q = AJKARQ WN‡ ‡+U ARA ] L U o L` p ACJ ` , -L U AL p B W JKQ%Q = AJXLNBAšLNJ o c Q = A YKWo c9‰Š\RL p \RM p MaJR¤ •†•. /. 7. . . . A=. .  . 7. . . . . . =. . . . . . . . * ). .  . . . . . . !#"%$  ). . . '&%(.  ). NPOÆNRQ.

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(65). +¢ € A LNJXJXMaBA%LQŠS5_A b o JX\ o _ pqo cPA o cnQ = A%JKQ—S p A WN‡ Q = A%QŠS5_A%JKS9JKQKACB WN‡ Q = A YˆWo c9‰Š\RL p \RM p MJ,®šL-¥¤ A O9QKACcao bPACbŽ= ‹ o Q = \ W co JKQ U o Ma\ pqoQ WNU QŠS5WN_U ACJ%LNcabŽpqo Q o = A U M p A W ‡”WNU o [ƒUŸ¡„W _pL`QKQKA U cpqp BL`QX\ = o cPuPU  €   o Q = = W W MPQ BšL\ cau Q A“QŠS5_A“b JX\ _ cPA#B A’A O9_ \ QR¤9‹A%\ caJ bPA c S3‹˜A ‰¥QŠS5_ACbIQKA BJ ‹ JKA Q—S&UX_] Ak‹˜A= \9c W ‹#= ¢

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(84) D%.  

(85)   

(86)  !  " $#.  §&« { §  38  E=)DNBxHTB@6CJŽ= M 6  H O =Q7oJ= 6DH < MSOO J47 U FM =57J=  qF 4L4=<5 € A“baACB W caJKQ U L`QKA  o JŸ\ p†W JKACbI5SšA O9AC\RMPQ o†] A%\ W c&QKA O9QXJR¤fbPARœfc o Q o†W cx\ W c–QKA O9QXJR¤LNcb. _fL`QKQKA U cnBL`QX\ = o cPuš\ W c&QKA O9QXJ U ACJX_AC\ Q oq] A p SN D`  p†W JKACbI5SIA O5AC\RMaQ o†] A%\ W c&QKA O5QXJR¤caLNBA p S . .  6.  6. , -. 7. A. ,A -.  6 WNU o o†W p†W = =  6 =W p = ]   6 , LN-+c&¢ S3JX4MPf JK6 Q QX, MPQ -+¢ c  k€ JXA Ma‹\ U o Q QKA L`  Q 6 , , -+¢ --+¢ ­LNJ LN6 cab , , A] -h-+¢LN­cab \   6 JKAC, b@A ¤9-+¢‹A’LNJ J 6 M b , A L ] -¥A ¤ ‹ = A U A 6 W, -¥¤ ] 6 ¤ A o ] \ p†W JKACb‚= LNcab W = ] o oJ -B  o c5MaJŸQ = A =  o ca] b o cPuJ ‡+WNU Q = A \ = LNca= cao A = p cao LNBp†W ACJŸ Macb3p†W 5S c , -¥moq]~˜S W S&_ Q AC6 J J = A ¤P‹˜A WL A p ] 4 A ] ¤P‹ \ JŸ\ JKACbƒ&SI\ JKACbnA O5AC\RMPQ A \ c&QKA O5Q , -¥¤ ACca\ A’‹˜A \ ca\ MabPAN r   p†W JKACbI5S™bPARœc o Q o†W cI\ W c–QKA O9QXJR¤fcLNBA p S Y. . 5. . . 5. 5. . 5 ). 5. . 5. 5. 5. 5. . 5. /5. 5. 5. 5. 5. G5. . ). . 5. 5. 5 ). . . . ^}_N`. 7. A. p. . rKs. . “. . . . WNU o o†W = =   ^}_N` p r>s p\ †W JKACLNb@c&¤PSI‹JXA%MPJ = JKQ W M QXMPp bIQ _ cUXW^] A ¤aJXMa\ Q `L Q   ^>_N` p rKs “ ¢ 4   ^}_N` caLNBA p S Y. . 25. . ^>_N`. . p. . ] rKs. 5.  . . . 4. 5 “   5. . . p A. . “ . . 5. ^>_N`. ^>_N` . . p A rKs. p A r>s  “   ^}_N`  p rKs 5 A. ¢ ¤  “  . “  ] r>s 5 s  ,  - Ÿ~. . 5. . ¢. “ . . ¢ 5. 5.  ¢ . 5. ‹ = A U A r LNcb = ] \ p†W JKAC b„LNcab ] ; ¥ S = S5_ W Q = ACJ o J  A LNcb ¡ACBBšL ¤a‹A L A ] A ]  € A%M oqp b3Q = A ‡+Wpqp†W ‹ o cPu U A p L`Q o†W c * W cƒ\ p†W JXACb™_ UXW \ ACJXJKACJ   ^>_N` p r>s “  ^}_N` p r>s “ ¢ ”  LNcab 4 * LNW cab­‹AšLNcaU L p S X AQ = A ‡+WNW‡ pqp†W ‹ U o cPuIQ = U ARAšU LNJK_AC\ oqQXW J WN‡ o * o •%\ p pqW JXo†M W U A WN‡ \ p†W JKACbŽA O5AC\RMPQ oq] A \ c–QKA O9QXJR› ARœcPACBACc&Q L JC›aLNcab ACbaMa\ Q c™ J B M L`Q c@   ¢ * o JŸL\ p†W JXM U A WN‡ \ pqW JKACbnA O9AC\RMPQ o†] A%\ W c&QKA O9QMP_nQ W  Y WNU LNc&S™\ p†W JKACb 6 , -¥¤‹ o Q = cPAC\ ACJXJXL U S ‰Š\ W c ] A U J o†W c@¤a‹A = L ] A ^>_N` p rKs   r>s  ¢ “ 9  e 6 , ^}_N` p r>s “ ¢ ^>_N` p rKs   r>s  ¢ “ 5  e 6 , ^}_N` p r>s “ ¢ . . 5. 5. 5. . 7. $. . 5. 5. . 5. . . G:. 7. .  . . . :. . .

(87). ). . . ƺÆ. µTÇ:È ÉˆÊNË. . :. . . . . . . :. . .  . . . .  . . . . (.

(88) D s. ) @

(89) Q. ‹ = A U A e 4 e ¤aAC\RLNMaJKA 4 o J>\ pqW JKACbn5SIQ = A%\ p†W JKACbƒA O5AC\RMaQ o†] A \ W c&QKA O5Q , - e  Y WNU Q = A U ACJKQ WN‡ W M U LNcL p S5J o JR¤‹Ax‹ U o QKA ,  )- ‡+WNU Q = Ax\ p†W JKACb-_ UXW \ ACJXJ ^>_N` p r>s “ š­[ WNU A W;] A U ¤˜AC\RLNMJKA3Q = AxJKS9BBARQ U S WN‡>U A p L`Q o†W c * ¤1‹A W c p S b o \RMJXJ ‡”U W B p A ‡ QŸQ WU o u = QR <>= A“LNcaL p S5J o J ‡”WNU Q = A W _a_ W J o QKA“b oqU AC\ Q o†W c o JŸJ o B oqp L U    ¢ * U ARœcPACJ L U JR¤PQ = L`Q o J ,

(90)  -   ,  - ;  ]5o†W p o p†W o†] W = W = o 4 ¤9‹A =‘#L  ] A MJ SN¤ ,  - J L\ JKACbIA O9AC\RMPQ A%\ c&QKA O5QR¤LNcabI5S S&_ Q ACJ J   D;¢ ,  - 4 ,   W ‹ ‹A“_ UXW^] A  r ¢ Y WNU LNc&SI\ pqW JKACb™_ UXW \ ACJXJ %¤ ,

(91)  -   ,  -  € A o cbaMa\ A W c®Q = A p ACcauNQ = WN‡U ACbaMa\ Q o†W c®JXQKAR_J WN‡ ,  q->A ‡+WNU A o Q U ACLN\ = ACJ3Q = A JKQ UXW cPušL U     |ay § }|ay § ~  j9¤a‹A = L ] A ,  q-  ¤aQ = MJR¤  e    ¢

(92) ¤ = ACca\ A ,  -    z § }|ay § ~’€ A = L ] A ,  q- %– %–

(93)   ¤LNcab ‹Ab o JKQ o cauM o J = Q = A‹L;S5J o c ‹ = o \ = Q = A“œ U JKQ U ACbaMa\ Q o†W cƒ\RLNc W \R\RM U   LNcab %– ,

(94)   -¥ <>= ACc ,  -0%o– ,   -¥ ~˜S = S&‰

(95) _= W Q = W ACJ= o J#‹o A = W L ] A ,

(96)  ;  - %o–  ¤@Q = A U A ‡”WNU A ,   -  5S o cabMa\ Q o†W c S5_ Q ACJ JC¤9J ,  q-   e ) LNcab ,   e ) -¥ < = ACc ,  q-%– ,   e ) -¥

(97) W o ]     = = = = ~S S5_ Q ACJ J ‹A L A ,

(98)  e ) - %– 1 ¤ Q a M J ,   e ) -  &S o cbaMa\ Q o†W c =pqW S&_ W Q = ACJ o JŸ= ‹ ] o Q = LNJ  e W ) Ÿ= [ WNU A  W^] A U ¤@J o ca\ A   LNW cab = ) ¤ ) \  JKACb@¤@‹A L A ) 4  ) ¤@J Q L`  Q e < = ) 4 o e = ] ) ¤ J Q L` Q ,   e = ) - 4 ,   e ) -5S D;¢

(99)  L`Q Jƒ‹A L A ,  e ) - ¤ ACca\ A ,  -   e  )  ¤ o J WN‡ Q = A ‡+WNU B rKs p  r>s C¤ LNcab   <>= = W = o = L , ] A , e

(100)    ) e-¥  ) -ACc %o– ,

(101)   ¤- Q %= – A U A ‡”WN, U A ‹˜A e = L ]  A ) -¥ , ~˜ S  eS5_  Q ) AC- J J ‹&S A o cabaM\ Q o†W c = S5_ W Q = ACJ o J ‹ o Q = LNJ  e  )  ¤ = ACca\ A ,  -    ~S   r ¢

(102) ¤   D;¢ŸLNcab 4 U ARœc o cau fL U JR¤9‹A“uNARQ ,  -   ,  - ;  ,  -  . ). . . . . . . . . .  . . . . . . :. . 7. . . . ). . . . . . . . . : . . 7. . . 7. . . <. . . : . . <. . . . 7. . . <.  . . . . 7. : . . : . . : . :. :. . 7. . . :. . :.

(103) . . . . . . . . . . . . . . . :. . . . . . . . :. . . . . . . 7. 7. . . . . . . . . . . . : . . . . . . . . . . . . . . . . . . :. : . . :. . . . . .

(104) . . . . : . . . : . . : . . :. . . . . . : . . . . . NPOÆNRQ.

(105) DCg.  

(106)   

(107)  !  " $#.   ¢ * o ŸJ L U ACbaM\ Q o†W c9‰¥LNJKACbI o J o B M p L`Q o†W cIMP_™Q W 4 W cnQ = A U

(108) o u = QR € A%œ U JKQ _ UXW;] A%Q = A ‡+Wpqp†W ‹ o cPuJKQXL`QKACBACc&Q  % ¢ Z ‡ ,

(109)  -%– ¤aQ = ACc ,  - %o–Ž¤LNcb * Ž € A b o JKQ o cPuM o J = Q = A%Q = U ARA“\RLNJKACJ WN‡   LNca %– b U p o†W , *

(110)   -¥ <>= ACc ,  -I%– ,   -¥¤ŸLNcab ,

(111)   -¥¤ o ‡  ,  - JXL`Q J S A L`Q c   e ) LNca b ,

(112)   e ) -¥ <>= ACc ,  - %o– ,   e ) -¥¤ ‹ = A U A ) ¤  ) \ pqW JKACb@q ~AC \RLNMaJKA <  = %¤ao ‹A = L ] A  ) 4 ) ¤fLNcab‚LNJ  Lš\ W cP‰ JKAC¯5o MPAC‡ ca\ U AN¤ p o†W e * ) 4 e )  L`Q J ,

(113)  e ) -VLNcab ,  e ) JXL`Q J S A L`Q c    = ‡”WNU r>s r>s <>= ACc , e   -) %¤ – , LNJ   B e  ) -¥¤9LNc bp  ,

(114)   Ce ¤LNca b) -¥¤ ,  ,

(115)   e  e ) - J ) L` Qˆ-¥‰  o J ‡ S U A p L`Q o†W c *  [ WNU A W;] A U ¤AC\RLNMaJKA WN‡ JKQXL`QKACBACc&Q   D;¢

(116) ¤f‹˜A = L ] A Z ‡ ,  -%–-¤aQ = ACc .   JR QR ,  - %–;:  ¤LNca b  4      s&¢ œ5QXL`QKACBACc&Q   % ¢Q W uNARQ = A U ‹ o Q = JKQXL`QKACBACc&Q   s&¢ Y MaJKQ oq‡ S Z ‡ ,

(117)  -%– ¤aQ = ACc .   JR QR ,  - %– :   ¤fLNca b * 4      g¢ ¡*ARQ o * A * U 4 A Y W Wpqp†W U ‹ o cPuQ = A“LN]9cao†L W p S9J p o J WN‡ = * L` W W;] UXANW ¤ W cPA“ACLNWNJ ‡op S3\ = ACI\ \9J Q =   L`Q JV‡ L ‹U ACp L \šo†W L * ACb3= \ cPu MP* ACca\ = AN˜U ‘"‡+ WNU Ma  J SN= ¤–WQ p AQŠ‹ _ p \ ACJ JKACJ o JKpqQXW L`QKACBACc&Q ¢ o JXL`Q J o S o†W A L`Q W c ¤ ACca\ A ¤Q A A A ¢ bJR¤fcaLNBA SN¤ J\ JKACbk&SƒLNc&S bPARœc Q cI\ c–QKA O9QXJR %   p†W JKACbI5SI_L`QKQKA U cnBšL`QX\ = o cauš\ W c–QKA O9QXJR¤caLNBA p S. . . <. :. . . . . . . . :. . . . . . . . . . . . . . :. . . . . :. . :. . :. . . . . 7. . . :. . . . . . . . . . :. . . . . . . . . :. . . . . . . . . . . :. :. :. . . . . :. . . . . 7. . <. . . :. . . <. . 7. . . . . . . Y. . A. 7. . „0 $†ˆ‡‰. ’G“ †N‰. /. –. . . . „0 $†{‡‰ q’ “ N† ‰. µTÇ:È ÉˆÊNË. . 5. .

(118) ˜–. ƒ/. WNU LNc&S3JXMPfJKQ o QXMPQ o†W c ¤PJXMa\ = Q = `L Q ‹A = L ] A   „˜ L†ˆ‡‰ ’G“ †‰1 ƒ/.   „0 $†ˆ‡‰ q’G“ †N‰ N/ ˜– A R¢ \ †p W JKACb@¤P‹A%J = W M p bx_ UXW^] A   „˜ $†{‡‰ b’ “ †N‰ /

(119) 0– 6¢ 4   „˜ $†{‡‰ q’ “ †N‰ ƒ/

(120) ˜–. – . 5. . ƺÆ. . . 5. . A. A. . R¢ 5‚LNcb. 6¢ 5.

(121) DCi. ) @

(122) Q. caLNBA p S „0 $†ˆ‡‰. . ’G“ †‰1 / ˜–. 5. ‹ = A U A \ p†W JKACbƒLNcab  AW Rp _ACcU b o cPu W c-W Q = A o ]= L p U MPA =Q c A S ¥Q = ACbauMaMa\ L ACU JbPQACb-A _ UXQ W \ A ACJXJ JK= QXL`] QKACBACc&Q ‡”WNU „0 $†ˆ‡‰ L A . 5. C5. . 7. . . 5. WNU. 5.  . 4. „0 $†{‡‰. ¥. s  , / L5 q„0 $†ˆ‡‰.

(123) ˜–. ’ “ †N‰. . 5. ƒ/. A. 5. .  ¢. . . ’ “ WN‡ ¤  U     `¢ WNU  ˆ¤V‹ †N= ‰ A U A /   W –  ¢ \ p† W JK ACb¤˜ACbLNMaca\ b ACJ LN co b J o cŽQ = o J“_L`QKQKA U cBšL`QX\ = o cauP m cab-‹˜A = L ] AIQ = AIJ o B oqp L U ’G“ †N‰ ƒ/ W–  ; <>= A U A ‡+WNU AN¤ 5SŽ¡ACBBšL % ¤1‹A A ’ “ †N‰ ƒ/

(124) ˜–     N¢   i¢  4 ’ “ †N‰ ƒ/

(125) ˜–     `¢   šN¢  4 A A. !. „ $†{‡‰ 0 „˜ $†{‡‰. . 5. . .  5. . . . . 5. . . 5. 5. . . 5. . 5 5. . 5. 5. . 5. 5. .   ¢  t ¢ 4 –   WNU o W r = ]    4     ~AC\RLNMaJKA <>= ACc ‡”Wpp†W ‹ o cPu“QA = ¤ŸALNQ \RU LN\ caJ b o Q oqcP]5u­o Q—S Q WN‡ ¡AC4 B5¤BA L o Q = A ¤U ‹˜&A S   iL ¢˜A LNcab   šN¢

(126)  ¤ WN `U ¢   V¢ LNAcb   t  ¢

(127) ¤9‹ N¢

(128) A  = L ] A Q = A“JKQXL`QKACBACc&Q   ¢ = Wp baJC „ $†ˆ‡‰ 0 „0 $†ˆ‡‰. . . 5. 5. ’ “ †‰1 ƒ/ G ’G“ †N‰ /. –. . 4. .  A 5 5. . . . . . . 5. 5. . . . <>= A U A o JVJKQ oqpqp L%u W&W b_ U W _A U QŠS ‹ WNU Q = c W Q o \ o cauP• o c ‡ LN\ QR¤ ‡”WNU Q = A \ p†W JKACb3JXMPJXARQ WN‡ Q = A pqo YKWo p p Wo o < = o o p W U o = ‡+WNU U = ]  ‡+L`W_pq_p†W ‹ ACo b cPuQ c9= ‰ŠA“\RbaL AR\RœM c Mao Q JRo†¤PW c‹A WN‡ JKL QXL`A Q o \“AC¯&LNM coq] b L p AC4 c\ A“\ LNcacab™\ bP¡ANAC BBšLnJ D` JL B JKQ#JKQ L u Q ‹L b   1 

(129) X@X € A ‡+WNU BL pqo X A3Q = A o c–QXM o Q o†] A o baACLƒbPACJX\ U

(130) o ACb o c œ9AC\ Q o†W c r LNJLƒQ U LNcaJ ‡+WNU BA U  ¤ ‹ = o \ = Q UW LNcaJ ‡+U WNU Bo JL YK= Wo c9‰ŠbaARœc o Q o†W "c o p  F o Bx WN\ ‡ = LN= cacPA ‡+WNp U   <>p = AIL p uU WNU o Q U = B ACJXJKACc&Q WNo L‡ pqp S­= ‹ WNU \9p J&o S \ cJKQ W Ma\ Q p†W caušQ AU BARARQ’JKo†AC] B p ‰ L`QKQ \ A Q A o = BU L p _o†W L`QKQKA c L uMU Bo ACc–pQXWNJ U U \ LNcaWNcaU A W;] U c ¤fB baM _L`QKQKA ckAC¯5M L ACca\ A ¤LNcab‚‹ Q A L`Q c LNJ_L Q L bPA [ A A ¤ ‹A ]9o JXMaL po X U A Q = U A p L`QKQ o o \ ALN= J L "U o†U oAC\ p QKACWNb U m U \ S5\ Z—p‡ o \  U U L`_ = W ¤ caLNBWNAU p SN¤ W ] A oU Q o \ ACJ LNJ“_L`QKQKA U= cJR¤ WLNccnb­_L`ACQKbPQKuNA ACU J caJR¤AR_ Q = ACo JŸJKACJKc&Q QU McP\ u™QXM Q U A Ao JŸ_fL ¯5M Q o QKL A“\ p†W bPJXA A“Q W Q = ‹˜A A KJXMaACLNJ JKARc Q>u B U L`_ A = c WN‡ ca, D JXt QX-¥LN ca\ AJKARQXJ“Q LNc v

(131) :« { z    ~  o†] ACc ¤aQ = A YKWo c9‰ŠbaARœc o Q o†W cxQ W A"Q U LNcaJ ‡”WNU BACb@ 

(132) . . . . F. . C.. . 0. . NPOÆNRQ.

(133) DLš.  

(134)   

(135)  !  " $#.  z §  ~ { §© { « } § yCy . . . D`  W pqp CA \ QL pqp Q = AI_L`QKQKA U c£L U uMaBACc–QXJ WN‡ \ = LNcacPA p  o c&Q W Q = A™JKAC¯5MPACca\ AN• / ] I› / `› ^›I/

(136) f r   W B_MaQKAVQ = A˜AC¯&M oq] L p ACc\ A˜\ p LNJXJXACJ WN‡ ¤  F Bx  F>AC\ WNU b%Q = A U AR_ U ACJKACc–QXL`Q oq] A _L`QKQKA U caJ WN‡ Q = W JKA o c&Q W LNc W Q = A U JKAC¯&MaACca\ A   %  T A UX‡”WNU B A O = LNMaJKQ o†] ACcPACJ J>\ = ACƒ\ \ W c  ¤ o†‡ c W QŸA O = LNMaJKQ o†] AN¤ o JXJXMPA’LNcƒ‹L U c o cPuP sP <>= A U A o J W c p S W cPA’_L`QKQKA U c o c  ¤LNcab™Q = L`Q o J A O = LNMaJKQ o†] A   u W Q W œ9QKAR_‚g   Z cnQ = L`Q \RLNJKAN¤c W b o JK_fL`QX\ = o cau o J>cPARACbPACb@ ¢  z § F6 ~

(137) « y { § w ¨  V§ {xw «  ¬ Y WNU LNc&S_L`QKQKA U c

(138) ‚LNcab3_L`QKQKA U cIJKAC¯5MPACca\ A 

(139) ›

(140) › C›

(141)

(142) ¤&‹A’bPARœcPA

(143) LNJ Q = A= JKAC¯5MPACU ca\ AW

(144) 

(145)  ¡ o ›

(146) p

(147) o * = › C›

(148)

(149) ¤@‹ = A U A Q ] = A

(150)  J’L U AQ = A_L`QKQKA U caJ ‡”U W B Q L`Q L A%\ B_fL`Q  A"‹ Q

(151) h € A#L p J W bPARœcaA ‡ Mca\ Q o†W c¤&‹ = o \ = QXL \NACJ L“_L`QKQKA U cšJKAC¯5MPACca\ A LNJL U uMaBACc–QVLNcb U ARQXM U cJŸL_L`QKQKA U cnJXAC¯&MPACc\ AN  o J ACB_aQ—S      ­¢  AC\ W B_ W JXA LNJ

(152) ›  LNcbnJKQXL`QKA   ¢ 

(153) h›    ¢

(154) ›

(155)     ¢ WN‡VW ]B_pqo MaQKAQ = A"U JKAC¯5MP  ACca \ A        ¢

(156)  Z Q o J˜‹ WNU Q = o c = W Q o \ o cPu Q = L`Q o J˜Q = A#JXAC¯&MPACc\  A L b‚_L`QKQKA caJ /  /  /  ¢ ¢

(157) ¤@‹ Q D  / / / !  ¤ LNcab D"$#%   ¤P‹ = A U¡ A’‹A%bPAC\ W B¡ _ W JKA  LNJ / ] I› /  › CI› /]

(158) ' &   z § ! ~( z «Ž§ 

(159) |

(160) § } § W = o†] p p WN‡  F Bx U A p L`Q oqW c  <>= o JhS o A p baJ1L’JXAC¯&MPACc\ A WN ‡ U BAR_ _U MaACQKJKAŸACc&Q QXL`AŸQ ACo†] ¯&ACM J" L  AC ca\ A>\ LNJXJKACJ   z § 9 ~  

(161) +¬ 5 v*) ~ M oqp b L"b o†U AC\ QKACbLN\ S9\ pqo \u U L`_ =+  -,  6 ¢h\ WNUXU ACJK_ W cab o cPuQ W Q = A JKACB o ‰ p L`QKQ o \ A      ¢

(162)  D` ,  6 5 r G Y WNU ACLN\ = _fL`QKQKA U c.

(163) o c/  ¤ LNbab®L cPAR‹ ] A U QKA O o c–Q W , LNcab p L`A p ACb£Q = A ] A U QKA On‹ o Q =

(164) h¤P‹ U o QKQKACcƒLNJ10 32 _ 0   P¢ 

(165) h %  +     ¢ ,546,  0  ¤ o†‡ 0 32 _ 0   P¢ 0 72 _ 0    ¢

(166) ¤fQ = ACc‚LNbabkLNc‚ACbPuNA ‡+UXW B  WQ o c–Q W 6  4:'7. >=. :. :. :. /:. :. . . . . . K. . K. =. 7. K. . K. . . . -7. . . . . . . . 97. K. . . . . -7. . K. . :. !. K. :. ! =. !. =. . F. 7. D. 7ED. 1. 1 7. 1. 1. 1. ƺÆ. µTÇ:È ÉˆÊNË. ". 1. 71. 1. F. 1. 1.

(167) D. ) @

(168) Q.  z § "8 ~ vx¬ ¬Œ¬ y |Pz;}  § {. m J JXMaBA ‡”Wpp†W ‹ o cPu W caAQ W _ Wp†W u o \RL p WNU bPA U ¤ Q = A ] A U Q o \ ACJ WN‡ + L U A o cabPA O9ACb LNJ  € A   A O5QKACcbQ = A YK’ Wo “ c9‰ŠbaARœc o = Q o†W U c o ‹ o Q ‡”=U L£= b ] o JKU _fo L`QX\ p = A UxW c\ o = LNcacaoqA p p ] WN ‡ =  ‡+% N W U Q pqp†W A B™•  ¢Ap•„0 $†ˆ‡‰ †N‰ ¤5‹ A A JVL ACJ L L` A LNcab JfM Q  + ‡  W LNJ ‹ JR• D` ¡pqARpQ ] - U U LNo cPuNACJ W^] o A U , –D   qU Y Wp pqp†W ‹ o cPu_ Q   = A%L` W;] A   Q W _ WpqWW u o \RL pWN= U baU A U ¤ ‡+WNo U L ‡+U A = Q \ = ACJ  p c L`__ACcbnL M A L” 0 32 0  ¢z–   ¢ 3Q ¤‹ A A   J L ACJ \ LNcacPA caLNBAN r  Z—‡ @o JŸc W Q A O = LNMJKQ o†] AN¤PQ = ACcnLNbbnL U M p A L” – šL`Q>Q = A’ACcb@  z §  ~ 3§&ª { z § { § |}Nz +« { 

(169) § y Y WNU ACLN\ = U ACLN\ Q o†W c U M p AbPARœc o caux\ = LNcacPA p  o c •  e    /Š¢ºp A  ¤‹A U AR‹ U

(170) o QKA o Q LNo \R\ WN‡+U U b o ca= u3] Q W U o Q = A p ‡+Wpqp†W ‹ o cPuš_ Wpqo \ SN#¡ARQ A  „˜ $†{‡‰  ’G“ †‰ /  – A  ¤‹ = A U A  JŸL ACJ L L` AN  \ W B o cau ‡”UXW B œ5QKAR_ƒj   U AR‹ U

(171) o QKA"Q W  e    Š¢ p A   D` ¡ARQ  A’Q = A%Mac o ¯&MaA ] A U QKA O o c , ¤ DQBx 0 32 _ 0    ¢ /— r  € A’\ Wpqp AC\ Q L pqp Q = A#_ U ACbaAC\ ACJXJ WNU J WN‡  o c + ¤PLNcab3‹˜A U AC\ WNU b3Q = A o cabPA O9ACJ WN‡ Q = ACB™¤PQ W uNARQ = A U ‹ o Q = - ¤ o c–Q W LJXARQ c W QXL`QKACbkLNJ    /¥¢

(172)  %  F>AR‹ U

(173) o QKA3Q W  e    

(174) '    ¥¢K¢ p  ¤1‹ = A U A  o J%Q = AxuNACcaA U L pqo X ACb rKs A \ W caJKQ U M\ Q WN‡aYKWo c9‰¥_fL` QKQKA U ca

(175) JR < W Q U LNcaJ ‡”WNU B L YKWo c9‰ŠbPARœc o Q o†W caJ ¤VLNJ JXMaB o cau ^ , -     ¤V‹A Y MaJKQb W      ¢

(176)  m cab™Q = A“\ W B_ oqp L`Q o†W c WN‡ _ U W \ ACJXJ  o JŸQ = ACcnbPARœfcPACb™LNJ ‡+Wpqp†W ‹ JR . 1. . . 1. . . $. . '&%(. G1. /.. 1. :. . 2.. D!0. . . . 7. . . . 0. . . . . . 1. 1. 1. . . . . . . . . <„0 $†ˆ‡‰. . 7. $. (. .  D      ¢    e    ^>_N` “  . q’G“ †N‰‹” . .

(177). /–. . . 7  D. 7 .  . 7  7  7 .  ¢.   e   ^}_N`        „˜ $†{‡‰ b’ “ N† ‰‹”. “ ¢  

(178).   / –    . ‘W"p JKA UX] A Q = L`QQ = A o \ o†W W B_ op L`Q o†W =cnop _ U ACJKA UX] ACJ#Q = A o c–QKo A U ‡ LN\ U A WN‡Yˆo Wo c9=‰ŠbPARœc o Q o†W caJR  LNBA p SN¤ o Q c S3L.—AC\ QXJbaARœc Q cJ ¤P‹ A’BACJXJXL`uNACJJKACcab cauJ ACBL cIQ A JXLNBAN . NPOÆNRQ.

(179) Dt.  

(180)   

(181)  !  " $#.  >  X  1# 

(182) X . o†] ACc™Q = A +‡ Wpqp†W ‹ o cPu YKWo c9‰ŠbPARœc o Q o†W c WN‡ LNcƒACc U o \ = ACb o c&QKARuNA U JKQXLN\ƒ\ ^>_N`baPt nLu@C  v ¢qegfKh:iThEj  xw:n ¢bpyfTh:iThEj  8vblPl{w:n ¢ r>s aca @  d b ¢ eg fTh:iKhSj  @kmlPlkon ¢qp d @k ¢qegfKhEiKhEj  Ckon ¢ n d   r>s  j h  b ¢ egfKh:iThE  j k   j lPlkodn ¢z Ck pfTh:iKhSj   j l}  l  k lPlkon ¢ w n   C d r>s i h q ¢ egfKh:iThEj € ‚Pb¢ p ¢qe fTh:iThEj  @k € lP‚Pl¢ k l}l{kon r>s n i a   ¢ egfTh:iKhSj  @k ] lPlk l}lkn b ¢ pŽfKhEiKhSj ¢ ] r>s a i t n j 8  d q ¢ egfKhEiKhSj   €x‚Pb ¢ p d  ¢ r>s d j n t Œoj  8d z ¢ pfKh:iThEj   €‚9b¢ e d  ¢ < = A   n j d h“\ = LNcacPA p5o caJKA U QXJ LNc o c&QKARuNA U LNJ Q = AJXAC\ W cab Q W _B W JKQ A p ACBACc&QR¤NMPQ W c p S’‹ = ACc Q = AŸQ o W _B W= JKQ˜A p ACBACc&Q o = Jj9 <>= A <>w =i n hn \ = aLNcaca= A p u o†] pACJLN= ƒ\ \Q = A p= LNJKQ1W A p ACBW ACc–Q o cW Q = p A JKQXLN\ƒ\f¤ \NARAR_ cPu’Q A JXQXLNI\ \Maca\ LNcPuNACb@ o cŽQ = AnJXQXLNI\ \ <>= A a i t n j \ = LNcacaA A p QKACBi _ \WNU LLNU coqcPp S A ‡+A U OPARA \ X ACLNJcPuNQ =AAIQ JXA>QXLNQ I\ \_B ‹ = JKACQVc Q—‹ o Q o AJ ACACBBAC_ac–Q—QXSNJ ¤ ‹ U = oqp A ‡+WNQ = U A d j o†n W t Œj“ \ F = BxLN cacP= A p  U o cPp uJ Q = A#JKQXLNI\ \šLNI\ \ o c&Q W ‹ WNU \ € Ac W ‹„bPACB W cJKQ U L`QKA W M U Q LNcaJ BL`Q @c \ LNccPA fKhEiKhSja  z §  € A \ Wpqp AC\ QŸQ = A“_L`QKQKA U c‚L U uMaBACc&QXJ WN‡ \ = LNcacPA p fKhEiKhEj o c&Q W w:n › kzlPlkon › j lPlkon › kmlPl €‚› k lPlk lPl{kn V › €‚ ] ~AC\RLNMaJKA“c W cPA WN‡ Q = ACJXA#_fL`QKQKA U caJ o JAC¯&M o†] L p ACc–QQ W LNc W Q = A U ¤   m bab o Q oqW caL pqp SN¤ @o J A O = LNMaJKQ o†] A   _L`QKQKA U c w:n L pqW cPA“\ W;] A U J#L pqp _ W JXJ o  oqpqo Q o ACJ

(183) ¢

(184)   z § F6

(185)  € A’\ W B_MPQKA"L pqp _ W J J o  p A p ACLNJKQMa_a_A U  W MacabaJLNB W cPu JXA ] A U L p _L`QKQKA U caJ ‡”U W B  LNcab U AC\ WNU bƒQ = A U AR_ U ACJKACc–QXL`Q oq] ACJ WN‡ Q = A U ACJ M p Q o cPu AC¯5M o†] L p ACca\ A“\ p LNJXJXACJ o c&Q W      wEn › kml}l{kn › j lPlkon › kzlPl €‚› k ] l}lk lPlkon › €‚› j l}l{k lPlkon › j l}l €‚  W Q o \ A“Q = L`Q>Q = A p LNJKQŸQŠ‹ W _fL`QKQKA U caJ>L U A cPAR‹“¤P‹ = A U A j lPl{k l}lPllkon j l}l}l{l{kknn kkm] l}l}l lk lPlkon j €‚ j €‚  z § 9 € A%M oqp b3Q = A%JKACB o ‰ p L`QKQ o \ A      ¢

(186) ¤fJKAR)A Y o uM U A %   z § "8 ‘"cPA _ W JXJ o  p A“Q W _ Wp†W u o \RL p WNU bPA U"WN‡ Q = A ] A U Q o \ ACJ o JL p J W J = W ‹ c L`Q"Q = A U o u = Q WN‡ Y o uM U A % AY Wpqp†W ‹ o cPuQ = L`Q WNU bPA U ¤P‹A“M oqp bšQ = A b o JK_L`QX\ = A UŸW cƒ\ = LNcacPA p fKh:iThEjP . =. =. . :. :. 7. =. >:. 7E:. :. . :. 7. =. =. 7 7. . F. . ƺÆ. µTÇ:È ÉˆÊNË. =. =. K. K.

(187) rj. ) @

(188) Q.   P¢. r>s fKh:iThEj  bp•„0 $†ˆ‡‰) ’G“ †‰ ” l}l{k = lPl{kn – fKhEiKhSj ]  ” l}l €‚3– fKh:iThEj=  ” k ] l}l{k = lPlkon – fTh:iKhSj  ” l}l{kon – fKh:iThEj   ” kzl}l €‚•– fKhEiKhEj   ” kzl}lkn – fKhEiKhEj   ” €‚3– fTh:iThEj   ” w:n – fTh:iThEj  .     a¢ P¢   a¢   a¢   a¢   a¢   P¢   P¢  z §  € A U AR‹ U o QKAQ = A WNU

(189) o u o caL p5U ACLN\ Q o†W c U M p ACJR m J1LNcA OPLNB_ p AN¤&\ W caJ o bPA U Q = A Q = oqU b U A ‰ LNW™\ Q ] o†W c U U M p A ‡”oWNU Q == A  U n j = d h= A o= L =‚]9o†= WNU • Q = A#W _L`U QKQKA U c o 3c WNfKU h:iThE] j U   j lPlkon ¢V\ WNUX]U ACJXU _ W cbar J Q<>= UA ‡+QKWNA UO‚s = ckQ U Au o†W L`_ U ¤‹p o \ U LNU

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