Stochastic Evolution via Graph Grammars
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(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. Stochastic Evolution via Graph Grammars Vadim Malyshev. N ˚ 3380 05 March 1998 ` THEME 1. ISSN 0249-6399. apport de recherche.
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(5) ! #"$% ! #&'&' # (*),+.-0/213)5406 789;: <>=@A? BACED FHAG IJAK;LNMAOPIJQRISO A? BATI UWVJXZY AO\[]A^_KZ` EF K;aba X;V O\cbA V ATd = A V d = Afe#g;hih;jiklD knm#[oK V d = Cp;pijqD h;rsabKZt;AI. uwvxyz_{b|iyi} <>=R~ I ~ IO = AIJAd X ebcabK V O ~ eO = AIJA VJ~ AI Xi abKia5A V I# = A V AWAK V A` XNXn;~ eRt XnV eRA d X ebebAdO ~X ebI 5AOAATed X BsabLbOSA V IJd ~ ATebdA;>BKiO = ATBsKZO ~ dIKiebca = QRI ~ dI <>= ATISAod X ebebAdO ~X ebIt X O =bVJX LRt = O = A#dAenO V Ki`e X O ~X eI XZ d X BsabLROJA V Id ~ AebdAt V K;BsBK V K;ebct V Kia = t V KiBsBsK V .eHISATdO ~X e BsK ~ ecRA5e ~ O ~X ebIHd X ebdA V e ~ eRt V K;ebc X Bt V K;a = t V KiBsBsK V IK V Aot ~ ^;Ae@nATdO ~X e3hK;ebcK V A cbA^ X OSATcoO X O = AwI ~ Bab`ATISO#B X cRA`I Xi t V K;a = cbQNeKiB ~ dI
(6) AIJOJLbcRQlO = Aw`K V t;AO ~ BA 5A = K^ ~X L V Xi ` X dKi`K;ebcti` X KZ`Wd = K V KidOJA VJ~ IJO ~ dI XZ t VJX ~ eRt X ebAc ~ BATebI ~X eKZ`Wd X BsaR`AMRAIo[lK ~ eABsa = K;I ~ I ~ I X e` XNX;n~ eRt X;V d X;VV ATdOa VJX R`ABsIK;ebc¡B X cbA`IPc ~ IdLbII ~ eRt¢O = A ~Vw£ LbKZ` ~ OJKZO ~ ^;A$ A = K^ ~X L V 3¤lA d X ebI ~ cRA V KiIJQRBabO X O ~ dHt VSX >O =XZ O = A$eNLbB* 5A VsXi d X ebeRAdOSATc¥d X Bsa X eRAenOIO = A$cRAt V AA Xi ` X dKZ` d X BsabK;dOJebAII5O X a X ` X t ~ dKZ` d = K X I5a = KiIJAI XZ c ~¦ A V ATenOEO X a X ` X tiQAOJdiEe$IJAdO ~X e$A*d X ebIJO V LbdO ~ eN5e ~ OJA*d`LbIJOSA V cRQRebKiB ~ dIW¤§Ac ~ IdLbIIPI X BA#KiIa5AdOIP =R~ d = c ~ ISO ~ ebt;L ~ I = O = A V B X cRQRebKiB ~ d ` ~ B ~ O XnV t V K;a = t V KiBsBsK V I ¨VSX B©O = KZO XnVª~ b bI*A`cbI X eK$`KZOJO ~ dAil«¬ebA XZ O = AdATenO V KZ`ATBA V t ~ ebt e X O ~X eI ~ I\O = A#ISOKZO ~ IJO ~ dKi``Q =RX B X tiATeRA X LbI ~ eN,e ~ OJA#d X Bab`AM ®n¯°±*² z_³xi} ª¬V Kia =$ª¬V KiBsBsK V NFEKiec X B ª¬V Kia = RFEKiec X B < X a X ` X tiQiN´ V Kiebd =R~ eRt UWVJX dAII µ·¶¹J¸ º0»T¼ ¹¸ ½ ¾ºÀ¿ÀÁÂ. 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.
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(9) ® x ® Ki`AG KZO Xi~V ATIIL V cbAIt V K;a = AI3«¬e¡d X ebI ~ c A? V AH`Aod X Ba X;V OSATBAenOKiIJQNBsaRO X O ~£ LRA]cRA]dA V OJK ~ ebIwdK_ V KidORA G VS~ IJO ~£ LbAI>O X a X ` X t ~£ LRAI¬cRAsdATId X BsaR`AMRAI@K ~ ebI ~ £ LRAscRAse X LR^;AK;LNM]a = Ae X B A? ebAIPATe]` ~ B ~ OSA O = A V B X cRQRebKiB ~£ LbAi ² yTx ° | ® } ª¬V KiBsBsK ~V Awt V Kia =R~£ LRAi t V K;a = AHKZ`AG KiO Xi~V AiO X a X ` X t ~ AHKZ`AG KiO X;~V Aia VJX dAIIJLIcRA V K;ebd = ABATe;O.
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(132) >@? ±² Ax / B4 ® ² ³ ® x h kC FEKiebc X Bd = K ~ eEI D B X cRA`%C F
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(146) h k ;WB* 5AccRAc G = K ~ ebIED0B X cbA`CTKHF
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(159) h k h <.V AATEI D B X cRA` F¬
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(190) 5C;C X dKi` a VSX aA V O ~ ATIWYXEebd ~ ATenO =R~ IJO XnV Q
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(201) 5C; Z A =R~ ISO X;V Qi
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(219) 5 X dKZ`[8¬QRebKiB ~ dI\D0B X cbA` h;KHFf
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(249) ² Q +.-_^6- /¨y a ® ` 4b/ - 2zc{ 4b5x ] T ¯ - { #/¨|;x ~ V X mbC eR5e OSA Kiebc B t V Kia = t V K;BBsK V I
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(284) mb h NO X d = KiIJO ~ d X dKi[` e X B X tiATeRA ~ OQ¢
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(301) ! . ] < VSX B©O = Aa Xi~ enO Xi ^ ~ A XZ d X BsabLROJA V IJd ~ ATebdAAwd X ebI ~ cbA V `K V tiAt V K;a = t V KiBsBsK V I#Kiec¢O = A ~V e X ebcRAOSA V B ~ e ~ IJO ~ d¬O V K Y ATdO XnVS~ AI < VSX Bfa VJX bK; ~ ` ~ OQ
(302) O = A X;V Q*a Xi~ e;O Xi ^ ~ A¥WA>d X ebI ~ cRA V = A V A>K ;~ ebc XZ@=RX B X tiATeRA X LbIISO X d = KiIJO ~ d Va SX dATIJIJAI ~ O = ` X dKZ` ~ enOSA V KidO ~X eH bLRO> ~ O =RX LRO>O = A#LbebcRA V `Q ~ eRtIabKidAi < VSX B O = AEa X;~ enO Xi ^ ~ A XZ O X a X ` X tiQWAPd X ebI ~ cbA V~ eN5e ~ OSAEd X BsaR`AMRAI D ~ esO =R~ IabK;aA V O = AQsK V A X eRAc ~ BAebI ~X ebKZ` F w´\LbO#O = Aw` ~ B ~ O ~ eRtlIJabK;dATI
(303) LbebcRA V d X ebI ~ cRA V KiO ~X e§K V Ae X O £ L ~ OSAwIJOJK;ebcbK V c X;V O X a X ` X t;Q,d X BsaR`AMRAI = A V A
(304) K V A ~ eR5e ~ OSAit VJX LbabI = K^;A ~ eN5e ~ OJA#enLB* 5A V>Xi tiATeRA V KZO X;V I ~ e;^_K VS~ KienOJI A £ LbKZ`A ~ O = A V k X;
(305) V <>= A
(306) a VSX R`ABsI\K V A¬Ki`I X e X O>ISOKiebcK V c X;V O X a X ` X t;Q, ~ O ~ I>e X O =RX BA X B X;V a =R~ IB X;V=RX B X O X anQ XZ IabKidAIEK;IEK =bX `Ai@ bLRO V KiO = A V I X BA =RX B X tiATeRA ~ OQHIJO V LbdOJL V A D¨ ~ O =bX LRO IJQRBsBAO V Qt VJX LCa F ¤§Ac X e X O IJa5AK $= A V AsKi X LRO
(307) a = QRI ~ dI KiO¬Ki`` bLbO ~ O ~ I a V AIJAenO A =R~ ebc§O = AdL V OK ~ ebI ~ elO = A BAO =RX cbIsKiec BA V A ~ cRA X ` X tiQ XZ O = A abKia5A V Na ~ e t V Kia = d X;VV AIa X ebcbI#O X K]A`c X eKo`KiOSO ~ dA ~ e§a = QNI ~ dI ~ OI
(308) ISO X d = KiIJO ~ dcRQRebK;B ~ dI ~ I dKi``Ac§IJO X d = KiIJO ~ d £ LKienO ~ IJKiO ~X elBAO =RX c@´>LRO = A V AsO = A `KZOJO ~ dA ~ OJIJA` ~ IPd = KieRt ~ eRtscRQRebK;B ~ dKi``Q ~ eHO ~ BA#O X tiAO = A V ~ O = 5A`cbIY XP` V ATKicRQO X Àc ~ BAebI ~X ebKi` d X BsaR`AMRAI = K^iA ~ Bsa X;V OJKienO>a = QRI ~ dKi` ~ enOJA V a V AOJKiO ~X e@RA
(309) d X eI ~ cRA V O = AB ~ eO = A#eRAMROPabK;aA V <>= Aab`K;e Xi O =R~ I*abK;aA V ~ I
(310) O = A X `` X ~ ebte¢ISATdO ~X e O = ABsK ~ e X Y ATdO ~ I ~ enO VSX cbLbdAc@#K Xd LbenOKi R`As[oK VZX ^]d = K ~ e§cRATIJd VS~ ~ eRt A^ X `LbO ~X e XZ IJa ~ e§t V Kia = I«¬eR`QoO V K;ebI ~ ATe;O
(311) d = K ~ eI
(312) K V A Xi ~ enOSA V ATISO. = Ae*O = At V Kia = t VJX PI.nATdO ~X e*h ~ IKie ~ enO VJX cbLbdO ~X e#O X IJAdO ~X e# = A V AWIJA^;A V KZ`;B X cRA`I XnV ILbd = d X LbenOJK; R`Ad = K ~ ebIEK V Ad X eI ~ cRA V Ac >¤lAd X eI ~ cRA V `K V t;A
(313) O ~ BA 5A = K^ ~X L VEXZ O = AeNLbB* 5A V Xi ^;A V O ~ dATIR` ~ e IdQNd`ATIbd X ebebAdOJAc d X Bsa X eRAenOJI OEK;abaATK V IO = KiOP` X dKZ` d = K V K;dOSA VS~ IJO ~ dI XZ O = A t VSX ~ eRtlt V Kia =¥= K^iAHWA``PcbA5eRATc` ~ B ~ OJIAM =R~ ~ O ~ ebt¢d = K X Isa VJX a5A V O ~ AI U= KiIJAHO V KiebI ~ O ~X ebI ~ e O X a X ` X t ~ dKZ`@d = K V KidOSA VS~ ISO ~ dIWK V A V A`KZOJAcO X O =RX ISA ~ e V K;ebc X Bt V Kia = O = A X;V Qi eISATdO ~X emlO = A ~ e ~ O ~ KZ`>t V K;a = ~ I ~ eR5e ~ OSAi <>= A$dATenO V KZ`>a VJX R`AB ~ IsO = AHAM ~ IJOSATebdA XZ O = A cbQNeKiB ~ dI ~ OJIJA` 3¤§Aoa VJX ^iA ~ OIAM ~ IJOSAedA]LbebcbA V I X BA]d X ebc ~ O ~X ebI < X;V A^;Ae¡B X;V A ~ enOSA V ATISO ~ eRta VJX b`ATBI\K VS~ ISA
(314) K;ebcwA#IJOJK V O\O X c ~ IJdLbII\O = ATB = A V A;. . . # $&. ! #"$% ! #&'&' #. !#"$% !& 1'*('* ` 46/ - 2z_{465.x. X be I ~ cRA V KWD¨5e ~ OSA XnV d X Le;OKi R`A
(315) Ft V Kia =*) ~ O = O = A#IJAO XZ ^iA V O ~ dATI
(316) +-,.+ D ) FKiecIJAO Xi ` ~ e I Xi )3~ IK
(317) ILb bIJAO4+65 78+ XZ ^iA V O ~ dAI O X tiAO = A V ~ O = I X BA>` ~ e Id X ebeRATdO ~ eRt aK ~V I Xi ^iA V O ~ dATI ¨VJX B9+(5Kiebc ~ e = A VS~ OSATc ¨VSX B / ;: 32 % 1032 (" ) D<+65F XZ=) ~ I*K]ILb bIJAO +65 7>+ Xi ^iA V O ~ dAI.O X t;AO = A V ~ O = X ` ~ e Id X eeRAdO ~ eRtabK ~V I XZ ^;A V O ~ dAI ¨VJX B?+(5WK;ebc ~ e = A VS~ OSATc ¨VJX B / ~ e IK V A e X OEc ~V AdOJAc@5O = A V A#dKie 5A*KienQ,e ~ OJA*eNLbB* 5A VPXZ ` ~ e IP 5AOAATe O X ^;A V O ~ dAIYX ~` e * @ d X ebebAdO ~ ebt^iA V O ~ dAIBAlK;ebcC ~ IEdKZ``ATc ~ ebd ~ cbAenOEO X X O =$Xi O = AB Kiec ^ ~ dA
(318) ^;A V IJK X ` ~ e ~ I ~ ebd ~ cRATe;O> ~ O = ILb bIJA=O +ED ~~ O ~ I ~ ed ~ cRAenOP ~ O = I X BA
(319) ^iA V OJAMFCHGI+ED0¤lA#K;IJILbBA
(320) A^;A V QN = A V A O = KZO>ATKid = ^iA V OSAM = K;I>KZOPB X IJO5e ~ OSA#eNLbB* 5A V\Xi ` ~ e I ~ ed ~ cRAenO\O X~ O G. / , / D ) F C1032 ! ("c. JLKbfJNM.
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(323) ! "# ! %$&$' (. m. 8 ~ IJOJK;ebd A D C C 5AF 5AOAATeO X ^;A V O ~ dATI%C C 5 XZ O = A t V Kia =~ IO = A
(324) B ~ e ~ BsKZ``ATeRtiO =wXi KabKZO = Xd be ebAdO ~ ebtO = AIJA#O X ^iA V O ~ dATIRO = KZO ~ I>O = A*B ~ e ~ BsKi` eNLbB* 5A V>Xi ` ~ e I ~ e$ILbd = KsabKZO = A V O ~ dAI d X ebebAdOJAc nQK*` ~ e K V AdKZ``ATcweRA ~ t = X L V I Z A ~ t = X L V=RXNX c D CF 5%D CF%,
(325) &D CcF XZ ^;A V OSAMC ~ e ) ~ I>O = A V AtnLR`K V IJL Rt V Kia = ~ O = O = A#IJAO Xi ^iA V O ~ dAI\d X ebI ~ IJO ~ eRt XZ C ~ OISA` Kiec Xi Ki``@^;A V O ~ dAI X ec ~ IJOJK;ebdA
(326) e X O>t V AKZOJA V O = Kie ¨VSX B C, O"C 2 ! " D Ki`I X d X ` XnV ATc]t V Kia = BsK V Acot V Kia = IJa ~ e¢ISQRIJOSATB AOdZF ~ I
(327) K abK ~V , D ) %F = A V A ,ODF ~ I
(328) K LbedO ~X e + = A V A ~ I O = AIJAO XZ Ia ~ el^_KZ`LRAI @O = AKZ`a = K; AO I X B XnV a =b~ IB XZ Ia ~ e]t V Kia = I ~ I Kie ~ I X B X;V a =R~ IB Xi t V Kia = I V AIa5AdO ~ ebtO = AIa ~ ebI <>= AABsaROQ = *~ I>O = A
(329) ABsaROQt V K;a = ~ O = e X Ia ~ e@ Ia ~ eHt V Kia WA¢IJKQ¡O = KZO O = A§IJA; O + XZ ^;A V O ~ dAI ~ IHt ~ ^iAeKiI K¥IJAOHO =b~ I$BAK;ebIHO = KiOO = A¢t V Kia =~ I `Ki 5A``Ac@ X;V AMbKiBsaR`A$WA$dK;eAeNLbBA V KZOJI A + nQa X I ~ O ~ ^iA ~ enOSAt;A V IO ~ ``E AlLbISA LR` ~ e¡O = A IJA £ LRA`>O X AMNOJAebcO = A]cRA,e ~ O ~X e XZ `Ki 5A`` ~ eRt5]KiIIJLBA A = K^iA I X BA$Ki bIJO V KidOsIJAO =R~ d = ~ `` AdKZ``ATc]O = AIJabK;dA; K; A`` ~ eRt O = ATe ~ I
(330) Kie§K V ~ O V K V QHATB* 5Acbc ~ eRt Xi + ~ enO X ¤§AsI = Ki`` Xi OSATed X eI ~ cRA V KZ`I X A £ L ~ ^_KZ`AedAEd`K;IJIJAI Xi IJa ~ est V Kia = I D¨O = AQsK V AEdKZ``ATcI X BAO ~ BATIe X eR`Ki 5A``ATc t V K;a = I F \I X B X;V a =R~ IJB XZ Ia ~ e t V K;a = I ~ IPt ~ ^;Ae$ nQ K X eRA0O X X eRA#BsKiaa ~ ebt;IE 5AOAATe O = A ~V ISAOJI Xi ^iA V O ~ dAI V AIa5AdO ~ ebtIa ~ eIK;ebc]` ~ e I¬OE ~ `` KZ`\KQNIE Asd`AK V>¨VJX B O = Asd X enOSAMRO = AO = A V WA d X ebI ~ cRA V `Ki 5A``ATc X;V e X eR`K; A``Act V Kia = IW«¬ebA Xi O = A#c ~ dLR`O ~ AIEWA
(331) I = KZ``@Aebd X LbenOJA V `KZOJA V ~ `` 5A
(332) O = A#Ki bIJAebdA XZ ebKZOL V KZ`@`Ki 5A`` ~ eRt;EI D X;V O = A*Ki ISATebdA XZ ebKiOJL V KZ` IabKid
(333) A F X;V O = A#IJAO Xi ^;A V O ~ dAI Xi O = At V Kia = I A^ X `^ ~ eRt ~ elO ~ BA; «¬eRAdKie§A^;Ae§IJKQ]O = KZO*O = AIJAO Xi ^;A V O ~ dAI ` XNX IJAI ~ OJI
(334) AMbKidO BATKie ~ eRt 1'*(' 1 ! 4 ® z_{Ry / ² - #x ".x vxAy /y y / ² - #x " yz{ - x QÀ² z {Ry / ² - x Ra ~ e t V K;a = IPcbQNeKiB ~ dI ~ IEK V Kiebc X B IJA £ LRATebdA D¨ = A V A*B X BATenOJ$I %%'& ( & (*) 5$&+ %%5K V A#KZ`I X V Kiec X B F XZ IJa ~ eHt V Kia = I. -, , D ) , . , F. 0/21 , D ) /21 /21 F 3% % 4/65 , D ) /65 /65 F 3% O X 5AHcRA5eRATc A` X
(335) ª¬V K;a =0/65$~ I X ROK ~ Re Ac ¨VJX B 4/65.7 1 nQK]I ~ BsaR`AwO V K;ebI X;V BKiO ~X e ¨ VJX B. I X BA¬bMRAcHd`KiII XZ O V KieI XnV BsKZO ~X ebI ¤§AISOK V OE ~ O = cRA5e ~ eRt I X BA bK;I ~ d X a5A V KZO ~X eI X elIJa ~ eot V Kia = I [ X IJO LbISA LR` ~ `` 5AILb N ~IJO OJLbO ~X ebI> =b~ d = K V A
(336) I ~ B ~ `K V O X ILb bIJO ~ OJLbO ~X ebI ~ eHt V KiBsBsK V I <>= A X aA V KiO ~X ebIA XZ OSATe LbISA#K V A¬O = A X `` X ~ eRt Ci>cRA`AO ~ ebtK` ~ e 8 ~ cbAenO ~ Q ~ eRtwO X ^;A V O ~ dAI[ X;V A¬AMbKidOJ`Q; X;V AK;d =wXnV cRA V ATcaK ~V>XZ ^iA V O ~ dAIED C' C D FA#dK;e ~ cbAenO ~ F Q CwK;eb* c C D <>= A#Ia ~ e ~ eO = A X ROJK ~ eRATcH^iA V OSAMwIJKQwA £ LbKZ`@O X D C D F 8 hb>cRA`AO ~ ebtK^;A V OSAMbKi``@` ~ e I ~ ed ~ cRAenO>O X O =R~ IP^iA V OSAMK V A KZ`I X cRA`AOSAc 8 >Kicbc ~ eRtK` ~ e BAKieIWO = KZO>A ~ O = A V KsabK ~V C C D Xi ^iA V O ~ dAI ~ e ) K V A YXi~ eRAc nQwKseRA3` ~ e F@ X;V K` ~ e w~ I>K;cbcRATcO X Ks^iA V OSAM C ~ O = I X BA ebA ^iA V OSAM C D0 mR>d = Kiebt ~ eRt LbebdO ~X 9 e ~ e X eRA ^iA V OSAM 8 f_fhgjiAk k l m.
(337) r.
(338) ! . rb>e X e d X eeRAdOSAcLe ~X e XZ O X IJa ~ e¡t V Kia = I XabaATebc ~ eRt¥K;e ~ I X `KZOJAc¡^iA V OJAM ~ IwK abK V O ~ dLb`K V dKiIJAi ¤§A*I = KZ``.d X ebI ~ cbA V\X O = A VPX a5A V KZO ~X eIPKiI>A`` =R~ d = K V A O = Aa VSX cbLdOJI XZ O = AcRA5ebAc X a5A V K_ ~O X ebI <>= A#B X ISO ~ Bsa XnV OKienO X a5A V KZO ~X e = K;I\O = A X `` X ~ ebtscbA5e ~ O ~X e T ® ^b- /y / ² - * 10 % "C !% % A , D
(339) 8 + ,! + D
(340) D F!F ( 0 $' " I2 ! "H
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(354) 4 5 2.
(355) 7
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(358) / . " . ® ^b- / y/ ² -U1 ! c .% $ %% , D A F _ (F .C j C % . 0 S( % c (10. %c M "C 2 ! ("c ) (% "c% 2## I2 . 10. A I, D 8 4+ , + D D F F ( B .% j 2 a %# %$ % "c $ 5 M "C B 1032 (" 5 ) % ( . % (% 6(.# & % M E(%C(( 3 'C% ) D 3 % P % \ 5 . # % . D3+ F D3+ , F 2 . j M % P % E . .CY ' $ .C H( O D CcE F G 3D + , F j C D , D CF G D ( % + D ) F !+ D 5 F & 3 ( %$ ) + D D F 3 ( %$ D< 2E2 ! " 3 0 ) D A F 4: 32 ! c .% $ %% ( $& % j 1 S(% % %W %_ \ %$ % "c $ U\ 32 1 032 ! ("cH 5 ) % T. . . <>=R~ IsdK;e 5A XnV BLR`KiOSATcc ~¦ A V ATenOS`Q, X eRAHI =bX LR`c5ec V ISOsK§IJLb bt V Kia =Xi ) ~ I X B X;V a =R~ d XO
(359) W cRA`AOSAO = AILb bIJAO + D
(360) 6F:2=+ ,XZ ^;A V O ~ dATIEO X tiAO = A V ~ `` KZ`` ` ~ e I ~ ebd ~ cbAenO O X O = ATBI X BA ^;A V O ~ dATI ~ eI+ , K V A ~ cRAenO ~ ATc Kiebc I X BA ` ~ e I> AOWAAeH^iA V O ~ dAI XZ + , K V A K;cbcRATc@ Z X OSAsO = KZO¬O = ATISAcRA5e ~ O ~X ebI K V A ~ elO = AIKiBAIa ~VS~ O
(361) KiI¬KZOJOJKid =b~ eRt XZWX eRAO X a X ` X t ~ dKZ`IabKidA 5>O X K;e X O = A V ; ~ O = O = A d X e;O ~ eNL X LbIBK;aba ~ eRt 5 D ; = A V A 5 D ~ IWKd` X IJAcILb bIabK;dA Xi 5 O ~ I
(362) AK;ISQ$O X ISAAsO = KiO
(363) O = AA`ATBATenOJK V Q$O V KieI XnV BsKZO ~X ebI K V AsO V KiebI X;V BsKZO ~X eIK;dd XnV c ~ eRtHO X =O AK; X ^;A#cRA,e ~ O ~X e@ < X;V AMbKiBsaR`AiO X K;abaATebc$K^;A V OSAM A#OJK A6
(364) D.d X ebI ~ IJO ~ eRt XiX eRA#^;A V OSAM
(365) ¢ATBabO Q D¨A#KiIILbBAO = KZO>O = A V A
(366) AM ~ ISOI X eR`Q X ebA¬ATBsaROQILb Rt V K;a =XnV AK;d = t V Kia = F 1'*(' > 2z_{ 4b572z_{ {Rz_x T ® ^b- /y / ² - > ! "*2 ! %$&$' < (H0 = % % "C ;2 (" -, , D ), . , F > # C 3/' 0 # . / 10 % A @? A , #C 3% % BDC 2 ! ("c2 %$&$' A( %
(367) (% . "% 2 A$ E? 2 ! "H J_ ( %I0 0. % 6K ( %$ B % 0 ! % M % . % F) / D , HG A ? IF .% 0. ! 6 ,. #F. (%C((.# . HG @?I. / . % 2 2 / D -, A %F & 1 ' % b "C %% % 0 ! C$ 0 S $ . G / D 4, A %F 1. G. 4 , 0 & (" "% 2& ! c .% $ -, G / D 4, EG A$ @?LI%FM %$ D A$ ? F . . EG $ @?LI. / . >< = Ae X O ~X e XZ ` X dKi` ~ OQdKie 5AEBsKicRAB XnV A>a V Ad ~ IJAi¤§AEIJKQO = KiOt V Kia = ) 5 ~ I X ROK ~ eRAc ¨VJX B nQ K Z ( % O V KiebI X;V BsKZO ~X e ~ O = A X `` X ~ eRtd X ebc ~ O ~X eI =RX `c@ X BA
(368) 5e ~ OSA ~ enOSAtiA V ONk ~ I MNAT c D O V KiebI X;V BsKZO ~X e V Kic ~ LbI FI X O = KiOWO = A
(369) c ~ K;BAOSA V I XZ KZ``P
(370) KQ I\c X e X OAMbdAAc < X;V AMbKiBsaR`Ai V ^;A O ~ dATI X elc ~ IJOJK;ebdAst V AKiOSA V O = Kie $dKiebe X O
(371) Ad X ebeRATdOJAc§ ;Q§KH` ~ e X dKi` O V KiebI X;V BsKZO ~X eI dKies 5A X ROK ~ eRAc nQIJLbddATIJI ~ ^;A`QK;abaR`Q ~ eRt
(372) A`ATBATenOJK V Q*` X dKi`bO V KiebI X;V BsKZO ~X ebI X LbebcRATceNLbB* 5A V ). JLKbfJNM.
(373)
(374)
(375) ! "# ! %$&$' ( :. Xi O ~ BAI ;MbKiBsaR`A ~ I cRA`AO ~ eRtK¢IJAO XZ ^;A V O ~ dATI +65aD XnV O = A$ILb Rt V Kia = ) 5;, ) D<+65F FdK;e 5A X ROK ~ eRAcl ;Q]cbA`AO ~ eRtHO = ATISA^iA V O ~ dAI X eRAÀ nQn X eRA*K;ebcoKi``` ~ e I ~ ebd ~ cRATe;O O X O = ABH«¬eRAdK;e cbAe X OSA O = A V AILR`O ~ eRtst V Kia = nQ ) 2 ) 5 XI X;V O = A#A`ATBATenOJK V QO V K;ebI XnV BsKiO ~X ebI X eR`QdKiIJAI\KiecHrdKieH Ae X eR` X dKi` < VSX B BsKienQ a Xi~ enOJI XZ ^ ~ A D0 X O =l~ ela = QRI ~ dI Kiec ~ eod X BsabLROSA V IJd ~ ATebdA%F\` X dKZ`O V KieI XnV BsKZO ~X ebIEIJAATB B X;V A eKZOJL V Ki` <>= A VJX `A Xi e X eR` X dKi`WO V K;ebI XnV BsKiO ~X ebI ~ IAe ~ t;BsKiO ~ dwKiec I =bX LR`c 5AHc ~ IdLbIISATcAK;d = O ~ BA*IJAaK V KZOSA`Q; < X;V AMRK;BsaR`A;O = A#`KPI XZ a = QRI ~ dIe X K;cbKQRI\K V A#IJLbaa X ISATcO X 5A#` X dKZ`0 UVSX t V K;BsB ~ eRt ~ e d X BsabLROJA V Id ~ AebdA Ki`I X a V A A V I\` X dKZ` d X ebc ~ O ~X eI>Kiebc` X dKZ` dQRd`ATI <>= A V AA V A V AdAenOK;dO ~ ^ ~ OQ ~ et V Kia = t V KiBsBsK V I ~ e*d X BsabLROJA V Id ~ AebdA ¨V KiBA X;V _ISAA Kiec a VSX dAAc ~ eRtnI XZ X L V d X e A V ATebdATI ~ e]t V K;a = t V KiBsBsK V I5O = A* V IJO X eRA ~ I m À Z X OJA =RX A^;A V O = KZO t V K;a = t V K;BsBK V I D B XnV AsAMbK;dOS`Qi X a5A V KZO ~X eI X elIa ~ e§t V Kia = I FEKiaba5AK V ATcoLbebcbA V K;e X O = A V ebK;BA ATK V ` ~ A V D IJAA Ck F «¬eRA\I =bX LR`c V AKi` ~ AWO = A V A\AM ~ IJYO D0KiebcO =R~ I ~ I £ L ~ OJA ~ eRA^ ~ OJK; R`
(376) A F K` X O XZ c ~¦ A V ATe;O ^_K VS~ KZO ~X ebI X eO = AEO = ABA XZ t V Kia = t V K;BsBK V I XE`` XZ O = ATBqLISAEc ~ ¦ A V AenOt;AeRA V Ki` ~ KiO ~X ebI XZ Ia ~ e t V K;a = M I D0ISAA X;V AMbKiBsaR`Ai s m F ;MRK;BsaR`ATIK V Ao ~ abK V O ~ OJA]t V Kia = M I D LbIJAc ~ e U AO VJ~ eRAOJ I F = QRa5A V t V Kia = I ~ O == QRa5A V AcRt;AI ~ ebIJOSATKic XZ ATcRtiATI G =RX;~ dA Xi KaK V O ~ dLR`K V cRA,e ~ O ~X ecbAa5AebcbI X e ` X dKi` =R~ ISO X;VJ~ dKZ`bO V K;c ~ O ~X e@NaA V I X ebKi`bOJK;ISOJAEKiec K^ X L VS~ OSA>KiaaR` ~ dKiO ~X ebI[ X IJOtiATeRA V KZ` ¨V K;BA XnVJ XnV Ki``¬O = ATISA§e X O ~X ebIwIJAATBsIO X AlO = A¢dKiOSAt X;V QO = A XnV Q;> =R~ d = K;I ~ eAK V ` ~ A V Q;AK V IdKZ``ATc K; bIJO V KidOe X ebIJAebIJAEIJA
(377) A C 0 < X `` X ~ eRt
(378) O =R~ IO V K;c ~ O ~X e X ebAEd X LR`cKi`I X dKi``,IJLd = d X enOI V LbdO ~X ebIK;e K; bIJO V KidO\e X ebISATebIJAi ¤§A\KienO#O X ATBsa = KiI ~ Ai =RX A^;A V .O = KZOsBsKienQ¢ISOKZOSATBAenOJIKi X LROIJLd = tiATeRA V KZ` ~ Ac¢t V K;a = t V K;BsBK V I\dKie$ 5A V A X;V B*LR`KZOJAcHLbI ~ eRt X eR`QI ~ BsaR`A*Ia ~ e t V Kia = I> nQAeR`K V t ~ eRtsO = AISAO XZ Ia ~ eI V AcbA5e ~ eRtKt V Kia = ~ O = eRA ^;A V O ~ dATIK;ebceRA AcRt;AIPAOdZf´>LRO ILbd =¡X;V BsKZ`A £ L ~ ^Ki`ATebdA dKie n~ `` ~ enOJL ~ O ~X e@ < XnV AMbKiBsaR`Ai X eRAd X LR`c¢d X eI ~ cRA V K; bIJO V KidO#I ~ Bab` ~ d ~ KZ`d X BsaR`AMRAI
(379) K;ebc¢dA`` d X BsaR`AMRAI DGW¤¡d X Bab`AMNAT(I F
(380) KiI#t V K;a = t V KiBsBsK V I$«¬ n^ ~X LbIJ`Q§O = AtiA X BAO VS~ dKi` ~ enOL ~ O ~X e ~ `` ab`KQ Kie ~ Bsa XnV OKienO VJX `Ai e X A^;A V ~ e]tiATeRA V KZ`.O = A X;V Q ~ O ~ I¬d X e;^;Ae ~ AenOPO X d =RXNX ISA#O = AsI ~ BsaR`ATISO XnV BsKi` cRA5e ~ O ~X e ~ O =RX LROEAenOSA VS~ eRt ~ eN5e ~ OSA*eNLbB A V>XZ A^ ~ cRAenOPt;AeRA V Ki` ~ KiO ~X ebI [ XnV A
(381) AMRK;dOJ`Q O =R~ IPBAKieI\O = KiOPBK;enQ V ATIJLb`OI>dKieH 5A#KiLRO X BsKZO ~ dKZ``QabLbO ~ enO X B XnV A tiATeRA V KZ` ¨V KiBA X;V 1'*(' 0. {Rz ² N¬z ² | ® xTx. ¤§A ~ enO VSX cbLbdAKtiATeRA V KZ` d`K;IJI XZ [oK VZX ^ a VJX dAIISATI¬ =R~ d = WAdKZ`` V Kiec X B t V K;a = t V KiBsBsK V I <>= AlIJOJKZOJAIHK V AoIa ~ et V Kia = I>O = KZO ~ IHabK ~V I D ) %F = A V A ) ~ IKt V Kia = Kiebc >, OD CcF ~ IK LebdO ~X e X e$^;A V O ~ dATI XZ4) OJK n~ eRt^_KZ`LRATI ~ e]I X BA IJa ~ e]IabKidA EG X enO V K V QO X O = Aa VSX dATIJIJAI ~ O = ` X dKZ` ~ e;OJA V KidO ~X ebI = A V AO = Ast V Kia = D e XnV BsKi``Q]Kw`KZOJO ~ dA%F ~ IbMRAc@ ~ e X L V cRA5e ~ O ~X elO = A t V K;a = d = KieRt;A'I D ` X dKi``Q FO X tiAO = A V ~ O = IJa ~ e§^_KZ`LRAI <>= Aa VSX dAII ~ I#Ia5Ad ~ ATcd X BsaR`AOJA`Ql nQ O = A ~ e ~ O ~ KZ` IJOJKiOSA Kiebcw ;QO = A V KiOSATI%D F XZ O V K;ebI X;V BKiO ~X ebI ¨VSX B O = A
(382) IJOJKiOSA , D ) %FO X O = A IJOJKiOSA , D ) 5 . 5 F AOLI>bM$I X BA
(383) t V Kia = t V KiBsBsK V <>= A X eb`Q a X I ~ O ~ ^iA V KZOJAIK V A
(384) O =RX ISA# =b~ d = d X;VV ATIJa X ebcO X O = APO V K;ebI XnV BsKiO ~X ebIcbA5eRATc nQO = AEILb bIJO ~ OJLRO ~X ebI ¨VJX BqO = A>bMRAcst V K;a = t V KiBsBsK V ¤§AKiIILbBA = A V AWO = A>KiebKi` X t XZ O V KiebIJ`KZO ~X e ~ en^_K VJ~ KiebdAi_ =R~ d = OK ATI = A V AK B X;V AtiAebA V KZ` X;V B V KiOSATID F cbAa5Aebc X eR`Q X eHO = A*IJL bISO ~ OLRO ~X e$c X eRA# bLbOEe X O X eHO = AaR`K;dA D O = KiO ~ IEe X O X e O = A#d =RX;~ dA XZ + F = A V A ~ O ~ I>c X eRA; <>= LbI %D FOJK A X eR`Q5e ~ OJA#enLB* 5A V>Xi c ~¦ A V ATenO>^Ki`LbAI E? ,%D A$ @?F . f_fhgjiAk k l m.
(385) j.
(386) ! . <>= LbI ATKid = KZ`` X AcB X;V a =R~ IJB + \K ~ OJIO = APd XnVJV AIa X ebc ~ eRt¬AMba X eRAenO ~ Ki`RO ~ BA\D ~ ecRAa5AebcbAenOS`Q Xi O = A X O = A V I F
(387) ¤ = AelO = A V ISO XZ O = ATB IJLddAAcbI ~ O a5A VSX;V BsI KO V KieI ~ O ~X e D¨O V KieI XnV BsKZO ~X eCF K;ebcO = AHa VSX dATcbL V AwIJOJK V OJIKZtnK ~ e@ KiebcI XlX e@ < X t ~ ^iAwd X ebc ~ O ~X ebI* = Ae O =R~ Ia VJX dATIJIdK;e A cbA5eRATc t;` X bKZ``Q D X;V KZ``\O ~ BA ~ enOSA V ^_KZ` k F#AHc ~ IdLbIIsISATabK V KZOJA`QlO X dKiIJAI¤ = Ae¥O = A ~ e ~ O ~ KZ`5t V Kia =~ I 5e ~ OSAEO = AesA>tiAOK
(388) d X LbenOJKi b`A>[oK VJiX ^*d = K ~ esKiecAPI =RX LR`c X eb`Qa VSX ^;A\O = KiO ~ O ~ Ie X O.AMbaR` X c ~ eRt5 ¤ = ATe
(389) O = A ~ e ~ O ~ KZ`nt V Kia = ~ I.d X LbenOKi R`AO = Ae#O = A[lK VZX ^d = K ~ e = KiI.KEd X enO ~ eNLbLbB eNLbB A VXi IJOJKiOSATIKiecsO = A¬d X eISO V LbdO ~X e Xi cbQNeKiB ~ dI ~ IK#B XnV AEd X BsaR` ~ dKZOJAca VJX R`ABq ~ O = eRA K;ebcHLbeRAMba5AdOSAcHO = A V B X cbQNeKiB ~ d ` ~ B ~ OPKiIa5AdOI 1'*(' ] { B4 ® x O ~ I\ X;V O = e X O ~ dA¬O = KZO>O = A ~ e;O VSX cbLdAc d`K;IJI XZ a VJX dAIIJAI\d X ^;A V IWBsKienQ K;B X LbI>a VJX dATIJIJAI ´ V K;ebd =R~ eRt>a VSX dAIISATI < X;V O = A ª KZ`O X eNÀ¤§KiOJI X e a VJX dAIIt V Kia = I@d X eI ~ ISO Xin~ I X `KZOSATc¬^iA V O ~ dATI e X ` ~ e I A V O ~ dAI V ATa V ATISATenOabK V O ~ d`ATIbK;ebcHIJa ~ ebI V Aa V ATISATe;O\abK V O ~ d`A OQRaATI UWVJX dAIIJAI ~ O = K` X dKi` ~ enOSA V K;dO ~X e X eHK`KiOSO ~ dAi O ~ I>K` X dKi`@t V KiBsBsK V KiebcO = A
(390) t V Kia =w~ I e X OPd = KieRt;AcwKiOPKZ`` W«¬eb`QwIa ~ ebI>LbebcbA V t X ` X dKZ`@O V KieI ~ O ~X ebI LRALbA ~ I>K V Kiebc X BIJO VJ~ ebt Xi IJQRB* X `IR = A V A¬O = A#IJQNB X `I>K V A O = A#dLbIJO X BA V OQRaATI < X;V AMbKiBsaR`A ~ e < « K;ebc < < « a VJX O X d X `IO = Ad = KieRt;AIBsKQ 5A X eR`QsKZO X ebA X;V KZO X O = ATebcbI XZ O = AIJO VJ~ ebt X\OEO = AIKiBA#O ~ BA ~ O ~ IKabK V O ~ dLb`K V dK;ISA Xi K V Kiebc X B t V K;BsBK V ATdK;LbISA X eRA$dKieabLROK¢IJa5Ad ~ Ki` e X e;OJA V B ~ ebKi`IJQRB* X `I / KZOsO = AHATebc XZ O = A £ LRALbA K;eb c ©KZO O = A At ~ ebe ~ eRt XZ O = A £ LbALRA; <>= AIJLb ISO ~ OLRO ~X ebI = K^iAsO = A X;V B /- (/ D dLISO X BA V K VVS~ ^iATCc F Kieb c
(391) D dLISO X BA V
(392) ~ I IJA V ^iAc F eO =b~ I dKiIJAIO = A>t V K;BsBK V ~ I d X enOSAMRO ¨V AAi dLbIJO X BA V IWK VJVJ~ ^;APKiebcISA V ^;Ac ~ ebcRATaATebcRAenOJ`Q Xi O = A d X enOSAMRO ª ATeRA V KZ` ~ KZO ~X esO X£ LbALRA ~ eRt eRAO X;V I ~ IPc ~ IdLbIIJAc ~ e : 0 e ) K V AIJO VJ~ eRt;I* ~ O =X eRA FEKiec X B!¤¢KZ` I < X;V AMbKiBsaR`Ai ISOKZOJAI Xi K V Kiebc X B©\KZ` lX X = = i X = J V ~ ~ = X ~ ~ X i X = V ISQRB &` D O A§`AeRt;O O A¢IJO eRt IHO A§a I O e O A Kiebc X BKi` A V F e X O = A V X nV cI V Kiebc X B Ki` s~ I>K X eRAÀI ~ cRAcw` ~ eRAK V t V KiBsBsK V ~ O =X eRA¬OSA V B ~ eKZ` IJQNB X ` Kiebc X eRA e X enOJA V B ~ ebKi`;IJQNB X C` D0KZO.O = AWAebc Xi O = AW XnV c F FKiebc X B\KZ` I X e#K ¨V AAWe X ebd X BsB*LROKZO ~ ^;A t VJX LbaHK V A ISO VS~ eRt;I\ ~ O = abK V O ~ dLR`K V IJL bISO ~ OLRO ~X eIPKZO X eRA Aebc@ ;WB ATcbcRAc¢t V K;a = t V KiBsBsK V¬~ I*K t V Kia = t V KiBsBsK V ~ O = Kicc ~ O ~X ebKZ`IJO V LbdOJL V Ai XnV t ~ ^iATe = ) ~ enO X I X BAO X a X ` X t ~ dKZ`IabK;dA D0e X;V BsKZ``Q F NO = AeATB* 5AcN AB ATcbc ~ eRt Xi O = A¬t V Kia ~c eRt;I Xi Ki`` ~ OJI>O V K;ebI X;V BI ) D A$ + FK V A¬t ~ ^iATeK;I\WA``0 FEKiec X B ¨V K;dOJKi`I ~ B ATcbcRAc t V K;a = t V K;BsBK V IW ~ O = X;V A^iAe ~ O =RX LROPIJa ~ ebIIJAA j À nO X d = K;ISO ~ dt;A X BAO V Qi eIJO X d = KiIJO ~ dWtiA X BAO V Q X eb`Q#ATB* 5AcbcbAcdA``bd X BsaR`AMRAIA V Ad X ebI ~ cRA V Ac ISAA C;C 0 FEKiec X B©t V Kia = O = A X;V Qi <>=R~ I# 5AKiLbO ~ LR` A`c§ ~ O = BsKienQlcRAAa V ATIJLb`OI
(393) K;I KZ`KQRI¬^iA V Q a X abLR`K VE~ e$d X B* ~ ebKiO XnVS~ dIY ;W^ X `LRO ~X e XZV K;ebc X Bt V Kia = I\K;IEIJOJLbc ~ ATc$KZ` V ATKicRQH ;W Q ; Vc XI. JLKbfJNM.
(394)
(395)
(396) ! "# ! %$&$' (. <. p. ~ tnL V AsC; ´\K;cILb bIJO ~ OJLbO ~X e. KiebcFPATenQ ~5~ eHCTpirikiKiecd X enO ~ eNLRAc`KZOJA V nQBsKienQKiLRO =RX;V I;ISAA CTh0 r0 C À¬e X;V OJLebK_ SO A`Q ~ e K;dOPO = A X eR`QB X cRA`d X eI ~ cRA V AcH\KiI>O = A X `` X ~ ebtO = AeNLbB A V>XZ ^iA V O ~ dAI = A`c bMRAc@ X esATKid = IJOSAasAEK;abaATebcK#eRA¡` ~ e nd =bXnX I ~ eRt ~ O ~ O = A £ LKZ`a VJX Ki ~ ` ~ OQK;B X eRt#Ki`` Ki bIJAenO` ~ e I´\A` X ~ eO =R~ I>abKia5A V A¬d X ebI ~ cbA V B XnV A d X BsaR` ~ dKiOSATcA^ X `LRO ~X ewKiebcc ~ IdLIJI K VJ~ I ~ eRteRA a VSX R`ABsI ~ e V Kiebc X B t V K;a = O = A XnV Q; LbKienOLbBt V K^ ~ OQB X cRA`I ~ e¥a = QRI ~ dIW =R~ d = e X K V AHO = A]B X ISOsa X abLR`K V LebcbKiBATe;OKZ` B X cbA`I Xi eKZOJL V A;H¤§AI = Ki``d X eI ~ cRA V IJLbd = B X cRA`I ~ ecbAOJK ~ ` ~ e¢O = AHeRAMRO*abK;aA V <>=b~ I abKia5A V d X ebI ~ cRA V I ~ e KidOK*dK VJ~ dKZOJL V APB X cRAb` D X eRAc ~ BAebI ~X ebKZ`,d X Bab`AMNATI ~ ebIJOSAK;c XZ O X c ~ BATebI ~X ebKZ` F XZ ISO X d = KiIJO ~ d £ LbK;enO ~ IJKiO ~X eHKiaba VJX K;d = O X c ~ Id V AOJA £ LbK;enOJLbB t V K^ ~ OQi 3. ="
(397)
(398) &. ;W^iATe XnV O = AwdK;ISAw = Ae¢O = A ~ e ~ O ~ KZ`t V K;a = ) ~ I#5e ~ OSA; O = AAM ~ IJOSATebdA Xi O = Aw[oK VZX ^oa VSX dATIJI XnV t V Kia = t V K;BsBK V I'D O = KiO ~ I#O = AwKi bIJAedA XZ AMRab` X I ~X eCF ~ I*KoB XnV AILb ROJ`A £ LbAIJO ~X e§O = K;e X;V V Kiec X B t V K;BBsK V I X eRAÀc ~ BAebI ~X ebKi`K;ebKZ` X t XZ t V Kia = t V KiBsBsK V InIJAA jÀ «¬eRAaATdLR` ~ K VJ~ OQ ~ IEO = KiOabK V Ki``A`c ~ IJd V AOSA#O ~ BAcbQNeKiB ~ dIKieKZ` X t X LbI\O XH/ ISQRIJOSABsI ~ e X eRA ~c BAeI ~X ebKi`.dKiIJAi ~ Bsa X IJAI¬ISO VSX eRt V AIJO VJ~ dO ~X ebI X e]a X II ~ R`AILb bIJO ~ OJLRO ~X ebI <>= A V ATKiI X e ~ IEO = KZO O = A d X e ~ dOJIK VS~ I ~ eRtocLRA O X I ~ B*LR`OJK;eRA X LbIO V KiebI X;V BsKZO ~X ebI ~ e¥Ki``\^;A V O ~ dAIBsKQ e X OO X¢= K^;A ` X dKi` V LR`AI XnV I X `^ ~ eRtO = ATISA#d X e ~ dOI <>= KZO ~ IP = Qd X enO ~ eNL X LbI\O ~ BA ~ I>eRATdATIJIK V Q = A V Ai nATd X ebcwa5AdLR` ~ K VJ~ OQ ~ IWO = KiO X eRA¬dKiewAK;I ~ `Qst ~ ^;AEAMbK;Bab`ATI Xi ` X dKZ` bLRO\AMbaR` X c ~ eRtcRQRebK;B ~ dI <>= A#OQRa ~ dKZ`.AMbKiBsaR`A ~ IPO = A X `` X ~ eRt5 XIJILbBA#O = A V AK V A#e X IJa ~ ebIKiebc O = A X eR`QHIJL bISO ~ OLRO ~X e Xi V KiOSA#CEd X ebI ~ ISOI ~ eKiaba5Aebc ~ eRt X eRAEAMRO V K
(399) ` ~ e *X;V K V ~ O V K V Qd =RX ISATeaK ~VXZ ` ~ e I ~ ebd ~ cRAenO ~ O = O = AIKiBAs^iA V OSAM@ I X BAs^iA V OSAM C = K;I ` ~ e I ~ ed ~ cRAenO
(400) O X ~ OO = A V KZOJA XZ O = AeRAMNO#d = KieRt;A ~* e C ~ `` 5 A ; =R~ d =H~ I>AMbaR` X c ~ eRtj e X WA^iA V O = A V A#K V A
(401) IJL d ~ ATe;OJ`QtiATeRA V KZ`@dK;ISATI\ = A V A
(402) O =b~ I a5A V aR`AM ~ eRtI ~ OJLbKiO ~X eHc X AIPe X O>K VJ~ IJAi O$d X LR`c 5AlO = KZO c ~ ISO ~ eRtnLbI =R~ ebt 5AOAATeAMbaR` X c ~ eRtLebd X e;O VSX ``Ki b`A]t VSX >O = Kiece XnV BsKZ` t VSX >O = dK;e = K^;AI X BA ~X ` X t ~ dKZ`Kiebcla = QRI ~ dKi`d X LbenOJA V abK V OJI bLRO WAsI = KZ``e X O¬O V Q$O X abL V IJLRA O =R~ I ~ IILRA = A V Ai <.X tiAO\e X eRAMRab` X c ~ eRta VJX dAII X eRA#d X LR`c X `` X O X ` ~ eRATI. f_fhgjiAk k l m.
(403) CTk.
(404) ! . IJdKZ`A$O = A$O V K;ebI ~ O ~X e V KZOJAIK;aba JV X a JV ~ iK OSA`Q;¤ = AeO = AoIdKZ`A$cRAa5AecbI XnV AMbK;Bab`A; X e. O = AlenLB* 5A VXi ^;A V O ~ dATIsO =R~ IwdKie¡ A$A £ L ~ ^_Ki`ATe;OwO X V Kiebc X BO ~ BAoIdKZ`Ai « V A^;Ae X eRA dK;eld X ebI ~ cbA V c ~ IJd V AOSAsO ~ BAa VJX dAII c Xi~ eRt X eRAILb bIJO ~ OJLRO ~X e¢KZO
(405) AK;d = IJOSATa@ d =RXNX I ~ eRt O = A IJL bISO ~ OLRO ~X eHO X c X ^ ~ KsI X BA V Kiec X B V LR`Ai ¤§A#I = KZ`` ISAA¬AMbKiBsaR`AI ~ eO = A#eRAMNO>IJAdO ~X e@ t ~ ^iA
(406) I ~ BsaR`A
(407) IJL d ~ ATe;OPd X ebc ~ O ~X ebI\O X K^ X;~ cwAMbaR` X I ~X ew ~ O =bX LROPIdKi` ~ eRtO = A V KZOJAI ª ATeRA V KZ` O VJ~ d s~ IO X 5ebcHK LbebdO ~X ebD F¥kILbd = O = KZO X;V AK;d = O V KiebI X;V BsKZO ~X e O = A ~ ebd V ABATe;O bD FbD F. ~ I.O = AO V KieI XnV BAc ~ ILbe ~X;V B`Q
(408) X LbecRAc ¨VJX B Ki X ^iA; ¤§AWI = KZ``;dKZ`` nQA^ ~ cRATenOKiebKi` X tiQ;iIJLd = LbebdO ~X e HK Q;Kia X Le X ^ LbebdO ~X e@ < X;V AKid = B X cRA`d X ebI ~ cRA V ATc A` X ¡ILbd = Q;K;a X Lbe X ^ LbebdO ~X esdK;es A>ATKiI ~ `Q#t ~ ^iATe@ Z X APd X BA\O X AMbKidOcbA5e ~ O ~X eI ® ^b- /y / ² - 0 ' *)M .$ 2 (" 2 %$&$' = . %# D
(409) jF C$ 0 ' "% 0 *.$0 M. T. 2
(410) C "C E2 ! " D F 0 1 $' )O $ $
(411) D
(412) 6F .
(413) "% 0 10. c D
(414) 8 + , + D
(415) D F F j %D A$ FKNk ( .% bD F ( F ("c% % ( .% Y %a
(416) " ". E0(J . D FM % D FbD F %$ $ % ( .% & %1 ! c .% $ %%. A$ B,. ® { * . I. M) "C % 2 . M). O . F. bD.
(417) F bD F & . " ( .%7 1.U ! %$ $92 ! ("c 2 ! %$&$ % M %. < VSX B O = A>cRA5e ~ O ~X ebI ~ O X `` X PI.O = KiObD D F F nKiebcKZ`I X D D F!F.t VJX e X O KiIJOSA V O = Kie` ~ eRATK V `Q ~ O = O = AweNLbB A V
(418) XZY LbBsabI <>= AwKi bIJAedA XZ AMbaR` X I ~X e ~ I £ L ~ OJA X n^ ~X LbI
(419) 5AdK;LbIJALbebcRA V O =b~ I d X ebc ~ O ~X e
(420) O = A\IJA £ LRAedA Xi5V Kiebc X B^_K VS~ Ki R`AI D D F!F ~ Ic X B ~ ebKZOJAc D WA\c X e X Od X BA ~ enO X cRAOK ~ `I = A V A
(421) F ;Q*O = A>eNLbB* 5A VXi abK V O ~ d`ATI ~ eO = A>abL V A\ ~V O = a VJX dAII X e ) iIJOJK V O ~ eRt ¨VJX B , D D0kHF!F ~ O = O V KiebI ~ O ~X e V KZOJAIPDA A F , A N = A V A ~ IWO = A
(422) BsK_M ~ BLbB XZ O = A O V KieI ~ O ~X e V KZOJAI X;V X L V a VJX dAII´>LROPILbd = abL V A# ~V O = a VSX dATIJI ~ O = ` ~ eRATK V t VSX >O =wXi O V K;ebI ~ O ~X e V KZOSATI ~ I e X PeO X 5A#e X eRAMbaR` X c ~ ebt. w® {Rz * (
(423) E%(\( (% _ $& $ %O"C ! ( % .% 6 S ( $ 2 + D
(424) 6F. . " M) K / % @ E ¬z ² 4 ² xA/¨yA/ ² - * F 1. FM) N k %S 2 (" 2 %$&$'
(425) 7 . 9j 2 " !(" .% % G / D 4, EG A$ E?"I%F . #)M( Yc $' & % 0
(426) 6 1.M 0 '(c %%M)." % 2 . E 1E $E C3
(427) k % C 3 #\ $0 . "! $S"C D ) %FM %(&( %a(c \"C ! ( #j " \ 1 1. ( H " ( % $ _1. ( (& \ $ ( (
(428) 10 % ( % %$$ % $.C (#.
(429) ( !$ . % . \ 1 6 " *2 ! ("c . < K A = A V A#bD F*, $ &% + D ) F % , D ) %F Z X OSA$O = KZOO = A]enLB* 5A VsXZ c ~¦ A V ATenO Z ebA ~ t = X L V=RXNX cI ~ IP X LbecRAc nQI X BA' &D2 F\KiecwO = LI>O = A#Ne LbB A V>XZ a X II ~ R`A B XnV a =b~ IBsI + ~ I X LebcRAc nQ $ (% + D ) F % <>= Ae X;V Ki`` , D ) %F. ) %D F & bD ,* + *./1- 0. F. JLKbfJNM.
(430) C;C.
(431)
(432) ! "# ! %$&$' (. . . . .
(433)
(434) . . . . <. . . . ~ tnL V A FKiebc X B IJAtnBATenOJI. [lLbd = ` AII V AIJO VJ~ dO ~ ^iA d X ebc ~ O ~X ebI>K V A
(435) a VJX ^ ~ cRATcw nQO = A X `` X ~ eRta VJX a X I ~ O ~X e@ ¬z ² 4 ² Ax /¨yA/ ² - 1 ( ($ c (10. %c $ .% S
(436) 2 . 2 ! "E2 ! $. $ % 10% . & "c % $ , 5 ; 5 ; , KF 5 ! c .% $ %% % \ 6 F ("c% % ( .% bD F , % + D F % ( $ % c P . % 5 % 5 ( % 0 0 (J ( %$ j B( ; ! % .% $ %% % % D F' %D 5 F 1.%E2 (%C C % * * $ %$ 2 .6(% (% 0 % 0O% (c % _ ( E % ) "C 2 . &'"$ & E e O =R~ I*K;ebc ~ eO = AHeRAMRO*IJAdO ~X e¢Ad X ebI ~ cbA V I X BAwB X cRA`I XZ cRQRebKiB ~ dI X;V t V K;a = I* ~ O =RX LRO Ia ~ ebIHe O =R~ I*IJAdO ~X e¢Awc ~ IJdLbIJII X BAcRAt;AeRA V KiOSAB X cRA`I Y LISO#O X \K V B Lba $¤lAwLISAO ~ BA IdKi`A$O X tiAO VS~ c XZ O = A]AMba X eRATenO ~ KZ`Et VSX >O = O = LbI V AcLbd ~ eRtO = AocRQRebKiB ~ dIwO X B X;V A KiB ~ ` ~ K V V Kiec X B \KZ` cRQRebK;B ~ dI x & ² ³ ® *)( > '%$ '* { - ³ ²
(437) | 5c{ / - ' eoO = A X `` X ~ ebtB X cRA` X eRAdKie X eR`Q$Kiaba5Aebc§KiecocRA`AOSAs` ~ e I XEenQ$AM ~ ISO ~ ebt` ~ e ~ I
(438) cRA`AOSATc ~ O =HV KZOS+A * j XEIIJLBA O = KZO\A¬dKiewK;aba5AebcHKebA` ~ e X eR`QO X ^;A V O ~ dAIW =R~ d = K V A ~ ed ~ cRAenO>e X O B XnV A#O = Kieo ~ O =]X eRA*` ~ e Kiebc$O = KZO¬O = AIJAd X ebc$^;A V OSAM Xi O = AKiaba5AecRAco` ~ e ~ IKeRA ^;A V OSAM <>= LbI ~ A
(439) ISOK V OW ~ O = K;e ~ I X `KiOSATc^iA V OJAM@RO = A IJOJKiOSA XZ O = A#IJQRISOJAB ~ I>K5e ~ OSA#eNLbB* 5A V\Xi ` ~ ebAK V d = K ~ ebI D IJAtnBAenOJ I FKiebc ~ I X `KiOSATc^;A V O ~ dATI D d = K ~ ebI XZ A VSX `AeRt;O = F <>= A V KiOSA Xi K;abaATebc ~ eRt*K
(440) eRA ` ~ e KiOPKs^iA V OSAM ~ ebd ~ cRAenO X eR`Q ~ O =HX eRA
(441) ` ~ e ~ -I , <>= LbIPAKid = d X ebeRATdOSATc ISAt;BAenO>tiAOJI>KeRA ` ~ e ~ O =V KZOJA , < X;V ISQRBsBAO V Q ~ O ~ Id X en^iATe ~ ATenO O X K;IJILbBAPKZ`I X O = KZOWK ` ~ e dKies 5AK;abaATebcRATc O X Kie ~ I X `KZOJAcw^iA V OSAM ~ eO X KQRI D ~ Ai O = KZO>O = A V KiOSA ~ I ,F Z X OSAO = KZO
(442) O = AeNLbB* 5A V#XZ ^;A V O ~ dATI
(443) dKiee X O
(444) cRATd V AKiIJAi O = LbI O =b~ I
(445) [lK VZX ^]d = K ~ e ~ I#O V KiebI ~ ATenO XnV KZ``@^_KZ`LRAI Xi abK V K;BAOSA V I ² _³ / ^ |;{RAy / ² - x ² Q Ay 5 ® {Rz ² N
(446) | 5c{ / - OW ~ ``@I X BAO ~ BATI 5A d X en^;Ae ~ AenOO X d X ebI ~ cbA V K*B X c ~ AT# c D ~ O =oV Kiebc X B O ~ BA X;V BAK;IJL V Ad = KieRt;
(447) A F>a VSX dATIJI#«¬eRAdKie]LbIJAsd X enO ~ eNL X LbI XnV c ~ Id V AOSA O ~ BA;NaK V KZ``A` XnV I ~ BLR`OJKiebA X LIO V KieI XnV BsKZO ~X ebI Xi O = At V K;a = AOdZ <>= A¬d =RXi~ dA¬BK ~ eb`QcRATaATebcbI !#". f_fhgjiAk k l m.
(448) C.
(449) ! . XH e O = A*a5A V I X ebKi`@OJKiIJOSA XZ O = A*K;LRO =bX;V X eHO = A#OSATd = e ~£ LbAIPLbIJAc 5 bLROKZ`I XX eHI X BA#a V KidO ~ dKi` cRA BsK;ebcbI D X;V AMbKiBsaR`A ~ ed X BsabLROSA V Id ~ ebdAO = A¬d =RXi~ dA AOWAAeabK V Ki``A`5KiebcIJA £ LRATenO ~ KZ`A^ X `LRO ~X e dKie A ~ Ba X;V OJK;enO(F LbKZ` ~ OJKZO ~ ^;A`Q
(450) O = A>d =RX;~ dA Xi O = AB X cRA`bc X ATIe X O d = K;eRtiAB*Lbd = bLRO X;V B*LR`KiI BsKQc ~¦ A V [ X;V A X ^iA V ~ O ~ I ~ Bsa X;V OJKienOWO X LbebcRA V IJOJK;ebc = KZO ~ I V AKZ``Q ~ en^_K VJ~ K;e;OW ~ O =V AIa5AdOO X O = A#d =RX;~ dA Xi abK V O ~ dLR`K V IJdKZ`A
(451) KiebcHO = LbI>d X LR`c = K^iA Lbe ~ ^iA V IKZ`^_KZ`LRA; ¤lA
(452) t ~ ^;A I X BA AMbK;Bab`ATI U A V= KiaI\O = A#ATKiI ~ ATISO>\KQ ~ IPO X LbIJA#O = A ~ e ~ O ~ KZ`B X cbA` ~ O = AMba X eRAenO ~ KZ` t VJX >O = <>=R~ I>WA I = KZ`` c Xs~ eHO = A#eRAMRO>IJAdO ~X e@ <>=R~ I ~ I\O = A
(453) OQRa ~ dKi` V K;ebd =R~ eRtsa VSX dAII>IJdKZ`A 8 esO =R~ IIJAdO ~X eAPLbISA>O = APATB* 5AcbcRATcs[oK VZX ^#d = K ~ e@ <>= A>O ~ BAd = KieRt;A ~ IO V K Y AdO XnV QN ~ ISA; e X L V a VSX dATIJIPKiIO = AlO ~ BA§t VJX PI>A^iAenOIwdK;e 5Ad X BA§B X;V AoK;ebcB X;V Aod X ebcRATebIJAc@ ¤lAlcRA5ebA]O ~ BA ~ enOJA V ^Ki`E 5AOAAeK;enQ¥abK ~VXi d X ebIJAdLRO ~ ^iA$A^iATe;OI X eATKid = O V K Y ATdO XnV Q A £ LbKi`.C; < L V O = A VX e ,k C 3% iO = A¬O ~ BA X;V O = A¬AB ATcbcRATc[oK VJiX ^d = K ~ e@ Z X OSA¬O = A KiebKi` X tiQ¬ ~ O = K¬d X enO ~ enL X LbI.O ~ BAILba5A V d VJ~ O ~ dKZ`N V K;ebd =R~ eRta VSX dATIJI. = A V AWO = A>KiIJQRBsaRO X O ~ dKZ` t VJX >O =
(454) Xi O = A>enLB* 5A VXZ aK V O ~ d`AI ~ I ]AMba bLRO XnV O = A>d XnVJV AIa X ebc ~ eRtEATB* 5AcbcbAc*d = K ~ e D V Kiebc X B \KZ` F ~ O ~ I X eR`Q 8 ~ Id V AOSAwO ~ BAabK V KZ``A`A^ X `LRO ~X e e V Kiebc X B t V K;BsBK V I ~ O*d X;VV ATIJa X ebcI O X / ÀIJQRISOJABsI ISAA j 8 8 ~ Id V AOSA\O ~ BAPIJA £ LRAenO ~ Ki`RA^ X `LbO ~X e@ <>=R~ I ~ I I ~ B ~ `K V O X O = A>AB* 5AccRAcd = K ~ e bLRO O = A V KiOSAI K V A
(455) I ~ BsaR`A V RA
(456) I = KZ`` LbIJA¬O =R~ IPB X cbA` X ebdA ~ eO =R~ IPISATdO ~X e@. { - ³ ² ± { AOaD F\ 5A#O = A V K;ebc X BeNLbB* 5A VEXZ d X ebeRAdOSATcHd X Bsa X eRATe;OI D0ISAt;BAenOJI FKZO = ¡ks` ~ e I / D F , ( ( D FO = A O ~ BA ( D FWWeNLbB A V>XZ d X ebeRAdOSATcHd X Bsa X eRATe;OI> ~ O eNLbB A V\XZ ` ~ e I>KZO>O ~ BA ; £ L ~ ^_KZ`AenOJ`Q O = AsebAfa VJX dATIJIdKiel AscRA5eRAc ~ eoO = A X `` X ~ ebtw\KQi#«¬e]AK;d = IJOSAa D E~ I XZ O = A K;e ~ enOSAtiA V FAd =RXNX IJAs = KZO#O X c X A ~ O = A V O X K;aba5AebcK$eRA ` ~ e O X$X ebA XZ O = Aw A
(457) eb cb/ I ; n X V X ~ R = ~ R = ; X ~ ~ = S V X ~ ~ ~. IJAtnBAenOJI O cRA`AOSAPK ` e ¤§AEBsK AO Id dA O a bKi ` O AT(I \D F , ; / 6) / Kiec D F,qC #\D FPd X;VV AIa X ebc ~ eRti`Qi X OJA V WA e X 3 = KiOEO X c X Ad =RXNX ISA V Kiebc X B`QO = AaR`KidA = A V A#O X c Xw~ O < XnV AMbK;B5 ab`A; ~ A = K^;A*d =RX IJAe O X cRA`AOSAK` ~ e O = AeoWAd =RXNX IJA
(458) O = A` ~ e O X cbA`AOSA ~ O = a VJX bK; ~ ` ~ OQ / < K n~ ebt ~ enO X Kidd X Le;OEO = AO ~ BAd = KiebtiA
(459) A*tiAOPO = KZOEO = A V Kiec X B ^_K VS~ Ki R`AI + D F.aD Ft VJX KZOPB X ISO\` ~ eRATK V `Q;e K;dO / D F WA>d X ebI ~ cRA V ISAt;BAenOJIO X 5A ~ ebc ~ IJO ~ eRt;L ~ I = Ki b`AED e X e`K; A``AcCF O = Ae@;cbLRA\O X O = A\IJQRBsBAO V Qi O = A ISOKZOSA XZ O = A¬[oK VJiX ^a VJX dATIJI ~ IO = A ^iAdO XnV D , 5 3%% FWKiec X L V a VSX dATIJI ~ IK V Kiebc X B Ki` ~ esO = A ~ eR5e ~ OSAEc ~ BAebI ~X ebKi` X;V O = K;enO ) ~ O = a Xi~ e;OI D , 5 3%% F O ~ IWd`AK V O = KZO X;V Ki`` ,Kiec * X O /= D FEKiebc / D F>OSAec$O X~ eN,e ~ OQ; E5 ¤§ AI = Ki`` A ~ enOJA V AIJOSAc ~ e$O = AK;ISQRBsaRO X O ~ d# 5A = K^ ~X L V Xi / KiebcKZ`I X]Xi O = AHa VJX a X;V O ~X ebI // KiI ¢«¬ebAd X LR`c IJKQ§O = KZO*AwI = KZ``\ISOLbcRQ = A V AEO = A ~ e;OJA V aR`KQ 5AOAATeO = AeNLbB* 5A VWXZ d X eeRAdOSAcwd X Bsa X eRATenOJIKiebcO = A BATKieI ~ A Xi O = ATISA d X Bsa X eRATe;OI O ~ I
(460) KH`Lbd o= A V AsO = ;KiO
(461) O = Aa VJX dATIJI V AIJO VJ~ dOSAclO X O = AabK ~V I D / F ~ I
(462) KZ`I X [oK VJiX ^,O ~ I
(463) K V Kiec X B \KZ` D F ~ e ) , GOD / F / k N¡k I ~ O = O V K;ebI ~ O ~X ea VJX Ki ~ ` ~ O ~ AI. JLKbfJNM.
(464) CTh.
(465)
(466) ! "# ! %$&$' (. n. (m,n+1). (m,n). (m+1,n-1). <. . D D. <>=R~ I V Kiec X B VIJO LbdOJL V A XZ.~ OJI U ? 5 ®N² z ® * . ~ t;L V A
(467) hbW«¬eRA
(468) IJOSAaHO V K;ebI ~ O ~X eI. m. / / F D / C
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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
