On Submodular Value Functions of Dynamic Programming
Texte intégral
(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. On submodular value functions of dynamic programming Eitan Altman & Ger Koole. N˚ 2658 Octobre 1995. PROGRAMME 1. ISSN 0249-6399. apport de recherche.
(3)
(4)
(5) ! "# $" % & ' "(")" % *( +-,/.103254768.:9;0<2>=@?ACB7DEE<6FA GIHKJLMHONMPQPSRUTWVYX-HOZ\[^]`_aRZ_\bcHORd'ecNMHONgf`fihfiRdkjmlcNdKRdncRonmJpcpmqRdkjCHKqdORNMbsr7R_tdvu^dw_ahPQRdxn^]idw_aHv]ilmbcqd GxHOJ1ywR_{z|]idv_aHKN1f }WNece~JMHv_ncRoHKRZa[mRHOZ\[cR>p^gsgoV Z_\JlcHKRTkCV
(6) 1"emNLMRd S1cgWRx]ipMRdv_K]iLNg_aR']ip"_\[^]idecNMeRHdObmlcPQJ^ncbsfiNH~ecHOJMe~RHv_O]iRd~Jgc_a[cR'1NgfibcRx/bcpmZ_O]iJMpoNMHOHw]i]ipcL ]ip>ZJMPQe^fiRarWumpmNP]iZ ecHOJMLMHONMPQP!]ipmLF-GId\a R¡ZJMpcdw]incRHQ]ip>ecNMHv_K]iZb^fiNMHQGxd_a[mN1_7]ipcZfibcncR ZJMpcZNg_aRpcNg_O]iJMp"NpmnQf`]ipcRNMHZJP"ls]ipcN1_K]iJpmd)Jgdv_aNMpcncNMHOnG¢JMeRHKN1_\JHKdkjMNMdx£{Rf`fNMd{ZJMP"l^]ipcNg_O]iJMp!Jg PSNgrs]iP!]iNg_O]iJMpcdxNpmnP!]ip^]iP]iN1_K]iJpcd'¤¥[cRdOR-Gxdt[cNMRPSNpMu7Necesf`]iZN1_K]iJpcd¥NMpcn7]ipM_aRHKecHOR_\N1_K]iJpcdj l~J1_\[]ip!dv_\J^Za[mNdw_O]iZxZJpM_aHKJ1f/Npcn"dw_aJ^Z\[cNMdv_O]iZ'RHOJg¦§dKbcP¨LMNPSRdaNMd£Rf`f<Nd©]ip!_a[mR{NMpcNgf`u^dv]id)Jg'/pcJMp^¦ ZJMpM_aHOJgf`fiRn<ns]idOZHOR_\R¦§RMRpM_In^u^pcNMP!]iZ¥dwumdw_aRPSdk¤¥[mRtdObclmPQJ^ncb^fiNMHv]`_ªu-]iPQe^f`]iRd'_a[mR¥PQJMpcJ1_\Jps]iZ]`_ªuJg _\[cRdORfiRZ_aJMHOd¥NMece~RNHw]ipcL"]ip«_a[cRG#R¬CbcNg_O]iJMpcdkj3£t[^]iZ\[_\HONMpcdvfiNg_aRdj^]ip«_a[cRZJMp_\Rars_J1xdv_\J^Za[cNMdv_K]iZ ZJMpM_aHOJgftNMpcn¢dv_\J^Za[mNdw_O]iZLNMPQRdjx_aJPSJpcJg_aJMpcR7Jes_O]iPQNgf¥eJgf`]iZ]iRdk® bmHQ£JHK¯]idlcNdKRn;Jp_a[cR dKZJHKR¦§dKecNZRWNecemHOJMNZ\[QJg)°tfiNMdOdKRHOPSNp7NpmnQ±xNJ^ ²³M´µv¶"·c1¸1¹n^u^pcNP]iZecHKJLMHONMPQP]ipcL^jMdObclcPSJ^ncb^fiNMHv]`_ªu1j^NMncP]idOdv]iJMpQZJMpM_aHKJ1f/jmdv_\J^Za[cNMdv_K]iZtLMNPSRd. ÆmÇ{È\É ÊÌË~Í\È\ÊÏÎFÇÈÐÑ ÒÓ\ÔÔÊÏÕ\Ök×ÙØ8ÔkÚ:ÛkÉÜÈ:Ý ÉÜÐ:ÞÌÉßÈgÝ à¼Þ. º¼»½ª¾F¿:Àt½IÁÂi¾FêÄaÅ. Unite´ de recherche INRIA Sophia-Antipolis 2004 route des Lucioles, BP 93, 06902 SOPHIA-ANTIPOLIS Cedex (France) Te´le´phone : (33) 93 65 77 77 – Te´le´copie : (33) 93 65 77 65.
(7) ! ! !< % 7 k)- t & ' "(")" % ! $"
(8) S C
(9) «NMpcdtZR_¥NMHv_O]iZfiR1j3pcJMbcd¥q_\bcn^]iJMpcdxfiRd¥ecHOJMecHv]iq_\qddOJMbcdv¦FPQJ^ncbsfiN1]iHKRd)ncRUfiN"8JpcZ_K]iJpncR 1NgfiRbcH'¬sbs]<C]iRpM_{ncRfiNecHKJLMHONMPQPSN1_w]iJpUn^u^pcNMP!]i¬CbcRoFGxoÙZJPSe^fiRarmR1 xp!ecNMHv_K]iZb^f`]iRHpcJMbcd)ZJMpcdw]`¦ ncqHKJpmd¥ncRddKbcZZRdOdw]iJpcdR_nmRdtZJP"ls]ipcN1]idKJpmdf`]ipcqN1]iHKRdtncRd-Je~qHONg_aRbcHKdIdw_aNMpcncNMHOncdncRUfiNGxj~R_ NMbcdOdw]©nmRd{ZJMP"l^]ipcNg]idOJMpcdxncRUPQN:r^]iP]idONg_O]iJMpQR_¥P!]ips]iP!]idONg_O]iJMp Rd¥ecHOJMLMHONMPQPQRdÙn^u^pcNP]i¬CbcRdJpM_ e^fibmdv]iRbcHKdNeme^f`]iZN1_K]iJpmdRp!ZJMp_\H gfiRIdw_aJ^Z\[cNMdv_O]i¬CbcRtFR_~yvRbsrdv_\J^Za[cNMdv_K]i¬CbcR d odKJPSPQRdpCb^f`fiRda\jCPQNg]id NMbcdOdw]ncNMpcd¥f NMpcN1f`u^dKR"ncRdtdvu^dw_ahPQRd 7qqpcRPSRpM_ad¥n^]idKZHOR_ad¥pmJpZJMpM_aH gfiqdk NQdKJbmdv¦FPQJ^ncb^fiNMHv]`_\q ]iPSe^f`]i¬CbcR"fiNPQJMpcJg_aJMp^]iRncRdNMZ_O]iJMpcd¬Cb^]xNemecNHKN ÌdKdORpM_ncNMpcdWfiRdoq¬CbcNg_O]iJMpcdnmR"fiNGI RdemHOJg¦ ecHw]iq_aqdxZJpmncb^]idORpM_ !ncRdxeJgf`]`_O]i¬CbcRdJMe^_O]iPSN1fiRd'PQJMpcJ1_\JpmRdeJMbcH'fiRZJMpM_aH gfiRtdw_aJ^Z\[cNdw_O]i¬CbcR¥R_xfiRd ywRbsr«dv_aJ^Z\[cNMdv_K]i¬sbmRdk -J1_\HOR-_aHKN1Ng]`fRdv_lcNMdOqdKbcHtfiN7PQq_\[cJ^ncRtncRd-ZJPSe^_aRbmHOdxncR!°tfiNMdOdKRHOPSNpR_ ±xNJ^ ¨·m:µO !¢ ecHKJLMHONMPQPSN1_K]iJpSn^u^pcNP]i¬CbcR1jdOJMbcdw¦§PSJ^ncb^fiNMHv]`_aq1jmZJMp_\H gfiR"" n NMncP!]idKdv]iJMpjCyvRbsr«dw_aJg¦ Z\[cNMdv_O]i¬CbcRd.
(10)
(11) "!# . . Q ' ! WumpmNP]iZ!ecHOJMLMHONMPQP!]ipmLQ[cNMdol~RRp¡N¯gRu¡_\J^J1f8JH-_a[mR!dv_\bcn^u¡Jg¥ZJpM_aHKJ1f'J1dv_\J^Za[cNMdv_K]iZ"dvu^dv_\RPQd ]ip¢ns'] &RHORpM_QNMHORNMd"JgNeme^f`]iZN1_K]iJpmdk [^]`_\R|[mNd!emHORdORpM_\R)n ( *M, +¥]ip>TMs|N¡dObmHvRu;JgNMece^f`]iZNg¦ _K]iJpcdJg¥z NHK¯1J ncRZ]idv]iJMp¡emHOJ^ZRdOdKRdt£t[cRHKR"_a[mRQHORdKb^f`_adU[cNMRl~RRp]iPSe^fiRPQRpM_aRn«JH[cNMR[mNn dKJPSRQ]ip -3bcRpcZR7Jp;ncRZ]idw]iJpmdk/ .©]iRfincd!JgNeme^f`]iZN1_K]iJpmd"ZJRHKRn£{RHKRRZJMpcJMPuMjxPSNHK¯1R_K]ipcLm1j 0m¦ pcNMpcZR1j [MumnmHOJ^RfiRZ_aHw]iZ]`_ªu1j1PSN1]ipM_\RpcNpmZR1j[cJMdOe^]`_\N1fCNnmP!]idOdw]iJpUdOZ\[cRncbsf`]ipcLmjgecNkRPQRpM_PQNMpcNMLRPSRpM_ j 0<dK[^]ipcL^j~RpMs]iHKJpmPQRpM_aNgf©dw_abcns]iRdkj~ZJMp_\HOJgf©JgIHKRdORHwJg]iHOdkj3NMLHw]iZb^f`_abmHORUeJgf`]iZu1jZa[mRP!]iZNgf©NMpcn l^]iJgfiJg¦ Lg]iZN1fUZJpM_\HOJgf/ z«Jdw_|Jgo_\[cR NMece^f`]iZNg_O]iJMpcdS£{RHKR [cNMpcn^fiRn5bmdv]ipcLn^u^pcNMP!]iZecHKJLMHONMPQP]ipcL /nce< _\RZa[cps]i¬sbmRdk z RNMp£t[s]`fiR1j:_\[cRHOR[mNdl~RRpNMp]iPSeJMHv_\NpM_<]iPSecNMZ_©Jg^nce_\RZa[mp^]i¬CbcRd<]ipdw_aJ^Z\[cNdw_O]iZZJMpM_aHOJgfNMpcn JMe^_O]iP]iN1_K]iJpU]ipSNHKRNdJg_a[cRH©_a[cNMp_a[cJMdORZJMRHORn!lMu [s]`_aR d)dKbcHvMRu13 2vp_a[c4R 0<RfinJ13_aRfiRZJMPQP"b^¦ p^]iZNg_O]iJMppcR_ª£JHK¯sdj^]`_-[cNd¥l~RRp7bcdORn7]iplcb &~RH¥PQNMpcNMLRPSRp_'/JMH¥X)¤¥z FNMdvu^pcZ\[cHKJpcJMbcd'_aHKNpcdw/RH PSJ^ncR:xdv£¥]`_aZ\[cRdjc]ip«PQJMl^]`fiRoZJMPQP"bmp^]iZN1_K]iJpm5d ( M, +/j~NMpcn]ip_\RfiRec[cJMpcRopmR_ª£{JMHO¯CdoFR1 L^6 (`T + aWXes¦ e^f`]iZNg_O]iJMpcd-]ipNg]iHvf`]ipmRQPQNMpcNMLRPSRpM_tZNp lR"8Jbmpcn ]i7p ( 18 +/tu^pcNMP!]iZecHOJMLHKNPSP!]ipcL_aRZ\[cp^]i¬CbcRd [cNkR!l~RRpdObcZZRdKdv8b^f`f`uNecesf`]iRn]ip¡n^'] &~RHORpM_oNMHORNMd¥]ip«]iPQNMLRecHKJ^ZRdOdv]ipmLm9 .cJMHURarcNMPQesfiR1j3]i:p ( M, + [cNes_aRHWTkC]`_]idbcdORn/JMHIHKRZJpcdw_aHKbcZ_O]iJMpJ1dO[mNe~R/HKJP dO[cNMn^]ipcL^jCNMpcn!]i;p ( = < +)FNMpcn!HOR8RHORpcZRd _\[cRHOR]ip<Ù]`_t]id¥bcdKRn7/JMHIf`]ipmRnmR_aRZ_O]iJMp XpcJg_a[mRH_ªume~R"JgIecHKJl^fiRPSdFpmJ1_HKRfiN1_\Rn_aJ7ZJpM_\HOJgf ]ip£t[^]iZ\[¡nce«[cNd-ecHOJkRp_\Jl~R"NQ_\J^J1f JgPQN1ywJHx]iPSeJMHv_\NpcZR]id_\[cRUZN1fiZb^fiNg_O]iJMp7J1dK[cJHw_aRdw_{JMHfiJpmLRdw_WemN1_\[cdx]ip|LMHONMec[cd1 .cJH¥RarmNMPQe^fiR1j _\[cR"ZJPSecb^_\N1_K]iJpSJ1xRarcRZbs_O]iJMp_O]iPQRdWJ1'_aNMdO¯CdJMp ecNMHONgf`fiRfZJPSecb^_\RHO>d (`T8 +)HOR¬Cb^]iHKRdtnce8JHW_a[cR R1NgfibcNg_O]iJMp"J1PQN:rs]iP"bcP¨ecNg_a[!JMp!dKJPSR{LMHONMec[cd¤¥[mR¥PQN:r^]iP]iN1_K]iJpU]ip_a[cRnce]idIncbmR_aJ-_a[cRx/NMZ_ _\[cN1_-NQ_\NdK¯ZNMp l~RRarmRZb^_\RnJp^f`uNg _\RH_a[cRRarmRZb^_O]iJMpJgINgf`f]`_ademHORncRZRdKdOJMHI_\NdK¯Cdt[cNMR!lRRp ZJMPQe^fiR_\R@n ?M]`_¥]id¥_\[Cbcd¥HORfiNg_aRn_aJ A\Npmn B_ªu^eR-J1ZJMpcdv_\HONg]ipM_adtFdORCR (`TT + a GIHKJlsfiRPQd]ipMJgf`C]ipcLdO[cJMHv_\Rdv_¥ecNg_a[cd¥JMpLHKNem[cd¥NHKRHORfiNg_aRn7_aDJ AaJMEH B"_ªu^e~RZJpcdw_aHKN1]ipM_ad ?^_\[Cbcdkj _\[cRP!]ip^]iP"bcP nmRfiNu]`_Q_aNM¯1Rd/JMHQN¡PSRdOdKNLMRQ_\J¡NMHOHw]`R_aJ NnmRdv_O]ipmN1_K]iJp ]ip5N pcR_ª£{JMHO¯ ]idSJ1̦ _\Rp|ZJMPQemb^_aRnSbcdv]ipcLSnce£¥]`_a[P]ip^]iP!]iNg_O]iJMp 8_a[mGR FRf`fiPQNMp^#¦ .cJMHOnN1fiLMJMHv]`_a[mP|jmdOR9R F{RHw_adKR¯:Nd¥NMpcn °-N1f`fiNMLMRGH (` T *+/j3NpcnJg_a[cRHxNgfiLJMHv]`_\[cPQHd ( + a I bs]`_aRtJg _\Rpjg_a[cR¥ns]iHORZ_IbmdOR¥Jg©nce/JMHIZJMPQecbs_O]ipcLte~RHv8JHKPQNMpcZR)PSRNdKbcHORdJMHxJe^_K]iPQNgf^ZJpM_aHKJ1f e~J1f`]iZ]iRd]id]iPQe~JdKdv]il^fiR!nmbcRQ_\J_a[m;R A\ZbcHOdKRQJgtn^]iPQRpcdw]iJpmN1f`]`_ªu B^; J-J£RRHkjxlMuRarme^fiJ1]`_K]ipcL dKJPSR dw_aHObmZ_abcHKRIJg<_\[cRecHOJMl^fiRP|jgnceZNp!l~RbcdORn_aJRdw_aNMl^f`]idO["dKJPSRecHOJMeRHw_O]iRdJg_\[cRJe^_K]iPQNgf^ZJpM_aHKJ1f/j NMpcn;]ipecNHw_O]iZb^fiNMHkjIJpcRZNMp;dO[mJ£ _a[mN1_QJMe^_K]iPQNgfWZJMpM_aHKJ1fid!l~RfiJMpcL _\JdKJPSR|dKPQNgf`ftdObcl~ZfiNMdOd!Jg e~J1f`]iZ]iRd~_\[cN1_ZNMpl~R)Z\[cNHKNZ_\RHv]iRn¥lMuodKJPSRecNMHONMPQR_\RHOdk3¤¥[cR'JHw]iL1]ipmN1fMZJpM_aHKJ1fgecHOJMl^fiRP#ZNpW_a[cRp l~R_\HONMpcdv8JHKPQRn"_\J!NQdw]iPQe^fiRHJMe^_O]iP]iN1_K]iJp7ecHKJl^fiRPJMRH¥_a[s]id¥ecNHKNPSR_aRH'dOecNMZR11 2vpNnmP!]idOdw]iJp ZJMpM_aHOJgftNMpc7n -<Jk£ ZJpM_\HOJgftecHOJMl^fiRPQd]ip_\J¬sbmRbcR]ipcL¡pmR_ª£{JMHO¯CdS]`_|[cNMdQl~RRp¢dK[cJ£tp5NgfiHORNMn^u]ip _\[cRQl~RL1]ipmp^]ipcL7J1_a[mRQdORMRpM_O]iRd!E ( *Cj'mT + -_a[cNg_ j©bcpcncRHUdOJMPQR!ZJMpcn^]`_K]iJpmdkjJMpcRSPQNu HKRdv_aHw]iZ_o_\J _\[cHORdK[cJ1fin e~J1f`]iZ]iRdQFJMH"PQJMHORLRpcRHKN1f`f`u1j'_\J PQJMpcJg_aJMpcR"eJgf`]iZ]iRda\ JPSecb^_aNg_O]iJMp JgtNpJMe^_O]iPSN1f e~J1f`]iZu£¥]`_\[^]ip _\[cRdORZfiNMdOdUJ1xeJgf`]iZ]iRdULJ^RdtlmNZ\¯_aJ NMJCH ( +/ KC]iP!]`fiNMHoHKRdOb^f`_\dt£RHOR"dK[cJ£tp _\J [cJgfin ]ip¡_\[cR"ZJpM_\HOJgf)J1dORHwC]iZR"1NMZN1_K]iJpcdjdORLR ( , M^j *sNj *O*8+/ W_a[cRHW_ªume~RdUJ1dv_\HObcZ_\bcHONgfHORdObsf`_ad £RHOR!JMl^_\N1]ipcRn|/JMHoJMe^_O]iPSN1f'dOZ\[cRncb^f`]ipcL7JgWdKRHvC]iZ,R PQ( g +88JHW£t[^]iZa[ LN RTSC0mrmRn¡ecHw]iJHw]`_ªu HOb^fiR]id JMl^_aNg]ipcRn<\jNMpcn xGx¤ E (`T + UNMpcn Je^_K]iPQNgfHOJMb^_O]ipmL_\J¬CbcRbcRd!`yvJg]ip _a[cR!dK[cJMHv_aRdw_o¬CbcRbcR1j ( * +/j NMpcnJes_O]iPQNgfdw£¥]`_aZ\[^]ipcL"ZbcHwRGd ( ^T + \ $. %. Ð. U6U NV W XYZ.
(12) *. ! #H' H. . KC]ipcZRW_a[cR-Nl~JRUHORdKb^f`_adx£RHOR-Jl^_\N1]ipmRnjC]ip7_a[mRdv]Ürs_\RRd{NMpcn7dORMRp_\RRdkj_a[cRHKRt£Nd¥N!LMHOJk£¥]ipcL ]ipM_aRHKRdv_¥]ip]inmRp_K]` uC]ipcL7LRpmRHONgf©ecHKJe~RHv_K]iRdIJgIemHOJMl^fiRPQdx]ipMJgf`C]ipcLncej3_a[mN1_emHOJ^ncbcZR-dv_\HObcZ_\bcHONgf ecHKJe~RHv_K]iRdJ1JMe^_K]iPQNgf{e~J1f`]iZ]iRdjxNpmn;dORRHKN1f¥NMlcdv_\HONMZ_"NecemHOJMNZ\[cRd[cNMRlRRp ecHOJMe~JdKRn .cJMH RarmNMPQe^fiR1jg#[^]`_aR ( *M +~[cNMd)ecHKJe~JdKRn"NpNlcdw_aHKNZ_NMececHKJNMZa[8JHxPQJMpcJg_aJMp^]iZ]`_ªuJ1~Je^_K]iPQNgfceJgf`]iZ]iRd ]ipdv_\J^Za[mNdw_O]iZZJpM_\HOJgf<ecHOJMl^fiRPSd£¥]`_a[7pcJg]idvu!]ips/JMHOPQNg_O]iJMp©}tRdOb^f`_\dIJMp!_\[cRZJMpM_aHKJ1fcJgLRpcRHKN1f`]iRn dKRP!]`¦Fz NHK¯1JSecHOJ^ZRdKdORdW§G° Ksz G{Ù£RHORJMl^_\N1]ipcRn]i;p (`T^j©Tk +/jm_\[cN1_NMHORlmNdKRnQJMp|dKbclcPSJ^ncb^fiNMHv]`_ªu ecHKJe~RHv_K]iRdJ1~_a[mR1N1fibmR/bcpcZ_K]iJpmdkÙ¤¥[cR]iH)PSR_a[cJ^ncJgfiJML1u-]idI¬Cb^]`_\RtHORfiNg_aRn_\J RlRH'Npc n KC_O]inc[mNP ( *M, +Ù£t[cJZJpcdw]incRHtNZJMp_K]ipCbcJbmd¥_O]iPSR"PQJ^ncRfJgINZu^ZfiR"J1¬CbcRbcRdt£¥]`_\[ GJg]idOdKJp NMHOHw]`1NgfidkjNMpcn dK[cJ£;_a[mN1_)dKbclcPSJ^ncb^fiNMHv]`_ªu8JH'RRHwuemN1]iHJgdKRHvC]iZR¥RRpM_\d)ecHKJecNMLMN1_\Rdk~¤¥[cRu"NgfidOJ-]ipcn^]iZNg_aR[cJ£ _\[cR]iH¥HORdKb^f`_adZNMpl~RNMece^f`]iRn7_aJJ1_\[cRHIPSJ^ncRfidk 2vp _\[cRNecesf`]iZN1_K]iJpcdWNdW£{Rf`f)NMdt]ip«_a[cRNMlcdv_\HONMZ_¥/HKNPSR£{JMHO¯CdtncRdKZHv]il~Rn7]ip_a[cR"emHORC]iJbmdtecNg¦ HKNLMHONMec[cdj~£{R/J^ZbcdKRn JMp¡dv_\NpmncNHKn nce R¬sbmN1_K]iJpcd-[cNC]ipcLN8JHKP|j]ip _a[mR!dv]iPSe^fiRdv_UZNdKRdkjJgN P]ip^]iP!]iNg_O]iJMpJgW/JH¥PSNgrs]iP!]iNg_O]iJMp<'JRH-dOJMPQR-dOR_ad¥Jg> A\NZ_K]iJpmEd B"Jg_a[cRUdObmP J1 P8] {Np7]iPQPSR¦ n^]iNg_aR¥ZJMdv _ ?Ce^fibcd¥8]`] 'dOJMPQR AK/b^_\bcHORx1Ngfibc R BUN1Ì_aRH)JMpcR¥dw_aRe©z JHKR¥LRpmRHONgf`f`uMj1_a[cRu"[cNMn"_a[mR/JMHOP Jg NMpQ]iPSPQRn^]iNg_aRZJMdv_jCe^fibcdx_a[mRtdObcP Jg©P]ip^]iP!]iNg_O]iJMpcd)Jgn^'] &RHKRp_]iPSPQRn^]iNg_aRZJMdv_ad'e^fibcdN/bs_abcHKR 1NgfibcR!Ng _\RHJMpcR!dw_aRe¤¥[cRHOR"Rars]idw_[cJk£{RMRHkjPSJHKR"ZJPSe^fiRar|/JMHOPSdtJ1ncej£t[^]iZ\[¡£R!dO[mN1f`fxZN1f`f A\ZJPSe^fiRar7nce Bm1 JRHKRtNMHORUdOJMPQRRarmNMPQe^fiRd P 8] 'nc"e dÙ£¥]`_a[Ql~Jg_a["PQN:rs]iP!]iNg_O]iJMpNpcnSP!]ip^]iP]iN1_K]iJpQ/JHÙ_a[c R
(13) Je~RHONg_aJMHJ1PQNg_aHw]Ür!LMNMPQRda [cNkRNgfiHORNMn^u!l~RRp!bcdKRn!fiJMpcLNLMJNdxN_aJ^Jgfc/JMHxdOJgf`s]ipmLRHKJ1¦FdObmP n^u^pcNMP!]iZ¥LMNPSRdkjCdKRRtR1 L^ ( * +/ ¤¥[^]idWPQNuHOR -<RZ_¥n^u^pcNMP!]iZUZJMp_\HOJgf©emHOJMl^fiRPQdx£t[cRHKR_ª£JZJMpM_aHKJ1f`fiRHKd{[mNR"JMece~Jdw]`_aRJMl^yvRZ_K]`Rdkj JMH!NgfidOJ N dv]`_abmN1_K]iJpJgn^u^pcNMP!]iZQZJMpM_aHKJ1flMuN dv]ipcLgfiRZJpM_\HOJgf`fiRHo£¥]`_\[;N £JHKdv_!ZNMdORS_ªu^eR7J1-N ZHw]`_aRHv]iJM:p ( <Cjxj'C +/ }tRZRpM_Of`u1jÙ_a[^]idU_ªu^e~RQJgtnce¡£NMd"bcdORn ]ip _a[cRSZJpM_aRars_J1/pcJMp^¦§ZJMpM_aHKJ1f`fiRn< n^]idKZHOR_\R¥RRpM_¥dvu^dv_\RPQdkjg8JHx_\[cRte~RHv/JMHOPSNpmZR)R1NgfibcNg_O]iJMpQJg©ecNMHONgf`fiRfemHOJ^ZRdOdw]ipcLt£¥]`_\[l~Jg_a[ A\JH B NMpcn AaNMpcn B"ZJMpcdw_aHONg]ipM_aHd ( O M8+/ 8]`] JMpMRar|ZJP"ls]ipcN1_K]iJpmdIJg)nceJMeRHKN1_K]iJpcd¤¥[s]idtdv]`_\bcN1_K]iJp7NMHv]idORd]ip_\RNPecHKJlsfiRPQd'£¥]`_a[ dKeRZ]iNgfc]ip^8JHKPQNg_O]iJMp"dv_aHKbcZ_abmHORtFdORR ( *3T j< < + \j^NMpcn!]ip7ZJpM_\HOJgfcecHOJMl^fiRPQdÙ£¥]`_a[SN"HONMpcncJMP RpMs]iHKJps¦ PSRpG_ ( Msj~gsj < +/ 8]`]`] JMbce^f`]ipcLUJ1~_a[mR¥nceQR¬CbcNg_O]iJMp"£¥]`_a[J1_\[cRHf`]ipcRNMH)R¬CbcNg_O]iJMpcd¤¥[^]idxJ^ZZbcHKHORnU]ipR¬CbcNg_O]iJMpcd ncRdKZHv]il^]ipmL_a[cRW_O]iPQR-RJgfib^_O]iJMpJ18HORR-Za[cJg]iZRUGR_aHw]`¦§pcR_\d- £t[^]iZ\[|NMHORUbcdKR/b^f3/JMH_a[cR-PQJ^ncRf`]ipcLJg ecNMHONgf`fiRfZJPSecb^_O]ipmLs\jCdORCR (`T:8 +/ 8]`c JMPQe~Jdw]`_O]iJMp J1tns'] &RHORpM_"tu^pcNMP!]iZ7ecHKJLMHONMPQP]ipcLQJMeRHKN1_\JHKdk¤¥[s]id"dv]`_abmN1_K]iJp NHKHv]iRd £t[cRpUdORMRHONgf3/eJMdOdw]il^f`utZJpM_\HOJgf`fiRn<<RMRpM_ad[cNMeceRpWZJpcdKRZb^_O]`MRf`u1j]iPSPQRn^]iNg_aRf`utNg _\RHRNMZa[-J1_\[cRHk 2vpPSNpMu!ZNMdORdjM_a[cRWNl~JRWec[cRpcJMPQRpcNWNece~RNMH_aJMLMR_a[cRHI/R1 Lm ( <+ \)¤¥[mRHORt[cNMdxlRRp!LMHOJk£¥]ipcL HKRdORNMHOZ\[f`]`_\RHONg_abcHKR!]ip¢HKRZRpM_!uRNMHOd!JMp;dv_\HObcZ_\bcHONgfIemHOJMeRHw_O]iRdU]ip¢dOe~RZ'] 0<Z7ecHOJMl^fiRPSd]ipMJ1f`C]ipcL ZJMPQe^fiRar«nce~ KC_\HObcZ_\bcHONgf©emHOJMeRHw_O]iRd]ip¡dw_aJ^Z\[cNMdv_O]iZRHKJ1¦FdObcP LNMPQRd¥£RHOR"JMl^_\N1]ipcRn]i/p (`T1j©sjÙsj Cj^6j <jC8 +/# .mJH-HORdObsf`_ad¥]ip pcJps¦§RHKJQdObmP dv_\J^Za[cNMdv_K]iZoLMNMPQRdkj~dKRR ( MjgmjC@j *,+/ß KC_\HObcZ_\bcHONgf HKRdOb^f`_\d<£RHOR'Jl^_\N1]ipmRn¥]ipoemHOJMl^fiRPQdm]ipMJ1f`C]ipcL-ZJPSeJMdv]`_K]iJp¥NMpcnUZJpMMRarUZJP"ls]ipcN1_K]iJpmd<Jgsn^u^pcNMP!]iZ ecHKJLMHONMPQP]ipcLUJe~RHONg_aJMHOdjMdORRUR1 LmT ( Cj~1Cj < +/ ¤¥[cRQdw_aNMHv_K]ipcLeJg]ipM_Jg¥_a[s]idemNe~RH]id_\[cR!8HONMPQR£JHK¯J1t°WfiNdKdORHKPQNMp¡NMpcn¡±xNJ (`Tk^j{Tk +/JMH NMpcNgf`um]ipmLoPSJpcJg_aJMpcR'dv_aHKbcZ_abmHONgfsecHKJe~RHv_K]iRd~]ipQnceÙ¤¥[cR¥NMpcNgf`umdw]id]idxlcNMdORn"JMp"_a[cR¥dKbclcPSJ^ncb^fiNMHv]`_ªu Jg<1NgfibcR8bcpcZ_O]iJMpcd_\[cNg_]iPQe^f`u"_\[cRPQJMpcJg_aJMp^]iZ]`_ªuoecHKJe~RHv_K]iRdJ1~Jes_O]iPQNgf^dv_\HONg_aRLg]iRdkX-p!RdOdKRp_K]iN1f ZJMpM_aHv]ilmb^_O]iJMp Jg-°WfiNMdOdORHKPQNMp NMpcn ±xN;J (`TkmjxT +)£NdU_\J]inmRp_K]` u¡NpmN1_\bcHONgfZJpM_\Rar^_Jg{NMpcNgf`umdw]id. 6U.
(14)
(15) "!# . . gJ )PQJMpcJg_aJMp^]iZ]`_ªu112vpcncRRnjm_\[cRudK[cJ£Rn_a[cNg_¥bcpcncRH8N1]iHwf`u«LMRpcRHKN1f~ZJpcns]`_O]iJMpcdkjmJpmRoPSNu|JMl^_\N1]ip PSJpcJg_aJMp^]iZ]`_ªu]ipdOJMPQRtNMbcLMPQRpM_aRn"dw_aNg_aRtdKecNMZRtJ1_\[cR A\dOZJMHORdEBQ _a[cRdKR¥NHKRtZJbmp_\RHOdxJ1n^]'&~RHORpM_ _ªu^e~Rd)Jg©RMRp_\da\) -pcRtPSNu"_a[cRpJl^_\N1]ipPQJMpcJ1_\Jps]iZ]`_ªu£¥]`_a[SHORdKeRZ__\J_\[cR¥JMHv]iLg]ipcN1f3dv_aNg_aRdKecNZR ]`¥dOJMPQR8bcHv_\[cRH/PQJMHORHORdw_aHv]iZ_K]`R:¥ZJMpcn^]`_K]iJpmdJMp _a[mR"dv_aHKbcZ_abmHORUJ1x_a[cRecHOJMl^fiRP NMHOR"dKN1_K]id 0<Rn ¤¥[cRecbcHOe~JMdORJ1_\[^]idoemNe~RHt]id-_aJRars_aRpcn«_a[cR"NMlcdw_aHONMZ_t8HONMPQR£JHK¯|Jg> (`T^jITk +'_aJZJPSe^fiRar«nce 2vp ecNMHv_O]iZbsfiNHj~£{RdO[cNgf`fIZJMpcdv]inmRHnce«]ipMJ1f`C]ipcL«ZJPSeJMdv]`_K]iJpcd¥NMpcn ZJpMRar¡ZJP"l^]ipmN1_K]iJpcdWJ1nce JMeRHKN1_\JHKdkjsNpcnZJMP"l^]ipcNg_O]iJMpJg)l~J1_\[P]ip^]iP!]iNg_O]iJMp7NpcnPSNgrs]iP!]iNg_O]iJMp7Je~RHONg_aJMHOd RU/bcHw_a[cRH ]ipMRdw_O]iLMN1_\RIPSJpmJ1_\Jp^]iZ]`_ªu¥]ip"P]ip^¦FPQN:rU_ªu^eRdJg<ncejgNMpcnPQJMpcJg_aJMp^]iZ]`_ªut]ip"dOJMPQNR 0mrmRnecNHKNPSR_aRHKd Jgt_a[mR|emHOJMl^fiRP|D 2vp;_\[cR7ZJpM_aRars_!JgZJMp_\HOJgf/j'_a[cR7PQJMpcJg_aJMp^]iZ]`_ªu¡HKRdOb^f`_\d"PQRNMp_\[cNg_!N¡ZRHv_\N1]ip ecNMHONMPQR_\RH)dK[cJbsfinl~RoZJMpM_aHKJ1f`fiRn7PQJMpcJg_aJMp^]iZN1f`f`u!NMd/bmpcZ_O]iJMpQJgdOJMPQR-dv_aNg_aR-ecNMHONMPQR_aRH 2vp¢dORZ_K]iJp;«£{Rdw_aNMHv_!lMu;/JMHOP"b^fiNg_O]ipmL_a[cRS1NgfibcR/bmpcZ_O]iJMp ]ip;_aRHKPQdJ1-_a[cRdKZJHKRdkjxbcdw]ipcL ZJMPQe^fiRarnce~ °W]`Rp#NPQNMece^]ipcL«/HOJMP dKZJHKRd"]ipM_aJdv_\N1_\RdkjI£{R nmRHv]`R|_a[cR1NgfibcR8bcpcZ_K]iJp;NMd 8JHKP"b^fiN1_\Rn"]ipS_aRHOPSdJg©_\[cR¥dv_\N1_\RdkÙ¤¥[cRtNMn^1NMpM_aNMLRdJgbcdv]ipmLZJMPQesfiRar!nmeNMHOR¥Rarme^fiNg]ipcRn'¤¥[cRp £RtecHKRdORpM_)JMbcH_a[mHORRPQNg]ip!RarmNPSe^fiRd P<_a[cR¥ZJMpM_aHOJgf^J1NUdv]ipcLgfiR¥¬CbcRbcR1jM_\[cRZumZfiR¥NMpcn"_\[cR_aNMpcncRP JgI¬CbcRbcRdWdv_abmn^]iRn]ip ( *M, +/j©NpcnNS/JMHO¯M¦`yvJg]ip ¬CbcRbcR19 .cJMHNgf`f_\[cHORR-]`_]idUdO[cJk£tp [cJ£ ZJMPQe^fiRarnce Ngf`fiJ£tdtbcd{_aJ!dw_abcn^u7N1_¥_\[cRUdONMPQRt_K]iPQRUn^'] &RHKRpM_¥1NHw]iNpM_\d¥J1_\[cRPSJ^ncRfidkjsf`]i¯1R"l~Jg_a[7n^]idOZHKR_aRNMpcn ZJMpM_O]ipCbcJMbcdx_O]iPQR-PQJ^ncRfid K^RZ_O]iJMpZJMpM_aNg]ipcd_a[mRoPSN1]ipHKRdOb^f`_ .]iHKdv_£Rdv_\bcn^uNpbcpCl~JbmpcncRn7dOZJMHORUdOecNMZR1j3Npcn]`_-]id dK[cJ£tp [cJk£ dObclmPQJ^ncb^fiNMHv]`_ªu1jm£t[^]iZ\[ ]id-_a[cR"ZHKbcZ]iNgfecHOJMeRHw_ªu1j~ecHOJMecNMLNg_aRdH FJMbcpcncdW_aJS_a[cR"dKZJHKR dKecNZR 8£t[s]iZa[;ecHKRRpM_"/JMH"RarmNPSe^fiR7N¡pcRLMN1_K]`R7¬CbcRbcRSfiRpcL1_\[ ]ip;_a[cR7dv_\N1_\RQdKecNZR7PQJ^nmRf oNMHOR ]ipM_aHKJ^ncbcZRn lMu _aNM¯]ipmLZJdw_adUJb^_\dv]incR_a[cRSlJMbcpcncRn«dOZJMHOR!dKecNZR]ip 0<p^]`_\R1jNMpcn ]`_]id"dK[cJ£tp [cJ£ dKbclcPQJ^nmb^fiNHw]`_ªufiRNMncd_\J_\[cR£NpM_aRnPQJMpcJ1_\Jps]iZ]`_ªuecHKJe~RHv_K]iRdk¤¥[mR¥HORdObsf`_adNMHOR]`f`fibcdw_aHKN1_\Rn£¥]`_a[ _\[cRRarcNMPQesfiRdkjmdO[cJ£¥]ipmL!/JMH¥RarmNPSe^fiR-]ip_a[cR-/JMHO¯M¦`yvJg]ip¬CbcRbcRU_a[cNg_tdORHwRHKd£{JMHO¯7[cNMHOncRH]`'_a[cRHKR £RHORUPQJMHOR-NHKHv]`1Ngfidkj3lcb^_¥NgfidOJ_a[cNg_ j]`)JpmRodKRHvRH¥PSNpmNLMRd)_\J!HORnmbcZR[^]id¥¬CbcRbmRfiRpcLg_a[S/NMdv_jcNgf`f Jg_a[cRHKddv_aNMHv_x£JHK¯]ipmL![cNMHOncRHx_aJPQRR_bce R"dw_abcn^uLMNPSRd]ip dORZ_K]iJLp *^> .mJHW_aRZ\[cp^]iZNgfÙHKRNdKJpmd£{R"ZJMp 0<pcRUJMbcHOdKRf`Rd¥_\J!_ª£JRMRp_\dkj NMdOdKbcP!]ipcL_a[cNg_JMpcRJ1'_a[cRP[cNMdtN7PQN:rs]iP!]iNg_O]iJMpQ]ipcdw_aRNMnJ1xNQP]ip^]iP!]iNg_O]iJMpJe~RHONg_aJMHk{XLMN1]ip PSJpcJg_aJMp^]iZ]`_ªu!HKRdOb^f`_\d{[mJ1finj3NMpcn7NHKR]`f`fibcdw_aHKN1_\Rn!£¥]`_a[7_\[cRoRarmNMPQe^fiRd 7 t -bcHUNecemHOJMNZ\[7]ip _a[s]idodKRZ_O]iJMp]id_\Jdw_aNMHv_lMu ncR 0<ps]ipcLNS1NgfibcR"8bcpcZ_O]iJMpj~lcNMdORnJMp¡N7dOR_UJ1xnce JMeRHKN1_\JHKdkRUdO[cNgf`f©emHORdORpM_x_ª£{J1NMHv]iNMp_\dJ1_\[cRnce~)¤¥[m>R 0<HKdv_¥ZJMHOHORdKeJMpcncd©_aJ"£JHK¯M]ipcL"]ip7_a[cR dKJZNgf`fiRn dOZJMHORUdOemNZRQFJMHtPSJ^ncRfdv_aNg_aR:\j3Npcn_\[cRdORZJMpcnZJMHOHORdKeJMpcncdx_\J!_a[mRdKJZNgf`fiRn dwumdw_aRP dw_aNg_aR1 I bcNMpM_O]`_K]iRdI_\[cNg_{NMece~RNHÙ]ip_\[cRnmeR¬CbcNg_O]iJMpcdxPQNuQ[mNRUn^'] &RHKRpM_{]ipM_\RHOecHKR_aNg_O]iJMpcdkjg£t[^]iZ\[ £¥]`f`fl~RecHKRdORpM_aRnfiN1_\RHk .
(16) !#"$%'&( )"*+ ,- .
(17) .&/0213 45"6()( 7" HA EB P ! 4 E :9. R ]ipM_aHKJ^ncbcZR¥_ª£JQdKR_adx_a[mN1_jC_aJMLMR_a[cRHjC[cNMRo_\[cRHKJ1fiRUJg adw_aNg_aRd UJgN!dvu^dv_\RPncRdOZHw]ilRnSlu7nce R¬CbcNg_O]iJMpcd j~nmRpcJ1_\RnQlMu j 8 ¤¥[cR-ZJbcpM_\Nl^fiR-dOR_¥Jg Ð. U6U NV W XYZ.
(18) . ! #H' H. . a_ [mRdOR_J1"dOZJMHORd
(19) 9 \jt£t[mRHOR NMHOR|_a[cR dKZJHKRdQNgN1]`fiNMl^fiR¡Ng_ RpMC]iHOJMpcPQRpM_dv_aNg_aR £¥]`_a[ "!#!"!%$j3NMpcn'& dOJMPQR 0mrmRn|pCbcP"l~RHa\ XpRfiRPQRpM_( ) +* ajs£¥]`_a[ , :9 Npmn,*' -]id¥ZN1f`fiRnN|/PQJ^ncRf 'dv_\N1_\R1 pmR]iPSeJMHv_\NpM_HORNMdOJMpQ8JH¥NMncn^]ipcL_\[cRURpC]iHKJpcPSRpM_{dw_aNg_aRd8£¥]`_\[|HKRdOe~RZ_)_\J"_a[cRUlcNMdv]iZUPQJg¦ ncRfÙ]i)p (`TksjxT8 + ]id-_a[mN1_-_a[cR"dKbclcPQJ^nmb^fiNHw]`_ªu|emHOJMeRHw_O]iRd¥JgI_\[cR1NgfibcR"/bmpcZ_O]iJMpFNMpcn [cRpmZR1j~_a[cR PSJpcJg_aJMp^]iZ]`_ªu HKRdOb^f`_\da-P!]iLM[_[cJgfinJp^f`u«/JMHN«dObclcdKR_Jg¥dOZJMHORd5]`_\[cJMb^_o_\[cRQRars_\HONRpMs]iHKJps¦ PSRp_!dw_aNg_aRdj]`_!]idHOR¬Cb^]iHORn _\J [cNMR|dKbclcPSJ^ncb^fiNMHv]`_ªu¡dw]iP"b^f`_aNMpcRJMbcdvf`u 8JH"Ngf`ftdOZJMHORd¢ 2vp /NMZ_ j (`TkmjTk +Ngf`fiJ£>/JMH¥N"£RN¯gRHtZJpmn^]`_O]iJMpjC]/ R1I_aJ![mNRUR]`_a[cRH¥dKbclcPSJ^ncb^fiNMHv]`_ªu!JMH¥dObce~RHOPSJ^ncb^fiNMHv]`_Fu1 J-J£{RMRHkjm_a[mRHORt]idWN!LNMe7]ip7_a[cRUecHOJ^Jg/JMH_a[cNg_¥PQJMHOR-LRpcRHKN1f~dOR_K_O]ipcLU]ip RPQPSN *mßC4 K^RR ( , M+/ß X-pcJ1_\[cRHNMn^1NMp_\NLMRJ13]ipM_aHOJ^nmbcZ]ipcLt_\[cRRpMs]iHKJpmPQRpM_)dv_\N1_\Rd]id'_a[cNg_]ip!_\[cRZJpM_\Rar^_'J1dv_\J^Za[cNMdv_K]iZ ZJMpM_aHOJgf/jÙ]`_QNgf`fiJ£td!bcd"_\J HORfiN:r _\[cRS]ipcncRe~RpcncRpcZR"NMpcnRarmeJMpcRpM_O]iNgfINMdOdKbcPQe^_K]iJpmdJMp_a[cR_O]iPQR l~R_ª£{RRp|_aHONMpcdw]`_O]iJMpcdkj£t[^]iZa[«£{NMdecHORC]iJMbcdvf`u ZJpcdw]incRHORn (`TCj{Tk + \jNMpcn«]id"¬sbs]`_aR!bcpmpcN1_\bcHONgf]ip PSNpMuNMece^f`]iZNg_O]iJMpcdj^dObmZa[NMd_aRfiRZJMPQP"bcp^]iZNg_v]iJMp!pcR_ª£JHK¯Cdk ¤¥[cRUHOJgfiRoNMpcn7]ipM_aRHOemHOR_aNg_O]iJMp!JgdOZJMHORdNMpcnRpC]iHKJpcPSRpM_{dw_aNg_aRdx£¥]`f`flRZJMPQRtZfiRNMHx]ipPQNMpMu RarmNMPQe^fiRdfiNg_aRH¥JMp4 2vp (`TksjTk +_\[cRUdOZJMHORd¥NMHORUncR 0<pcRnNMd¥ZJbcpM_\RHOd¥JgRRpM_ad¥]ip|_a[cRUZJpM_\Rar^_¥Jg ° K^z Gxdk 9 .cJMHtRRHw. u 0/213/4&¹NMpcnRRHwuQ/bmpcZ_O]iJM,p 5 FncR 0<pmRnQJMp|Ngf`6f ) +* x£¥]`_a[ - :9 Npc7n *' 781 £RncR 0<pcRW_a[cR-n^u^pcNP]iZecHKJLMHONMPQP]ipcL/nce<xJMeRHKN1_\J:H 9<;xlu OT 9 ; 5= ) +* >@? ; ) +* <A BCED S ; R= <A R=5= ) +*(ALK ; MANOQPDR= O5= ) +*R $ F GIHJFH F G ]`> *A2K;> 7 NMpcn 9 ; 5= ) +* >@? ; ) +* <AL5= ) +* ]`Q *SATK;S VU 9 2vp_\[cR 0<HOdw_ZNMdORU£{RZN1f`fRMRp_ 1tNZ_K]`R1j3]ip«_a[cRUfiNg_O_aRHWZNdKRo]ipmNZ_K]`R1 FJg_aW[ ?R; NMpcLn S ; NMHORNMHOls]`_aHONMHvuSZJdw_{8bcpcZ_K]iJpcdj '/ R ; / R ; /gj<NMpcXn K ; Y #!"!"! +R Z +R "!"!"![ + x£¥]`_a[7_a[cR T-]i7p 1F_\[|e~JMdv]`_O]iJMp J£ £R|nmR 0<pcR!_\[cR!gN1fibcRS/bmpcZ_O]iJMp R _ \<]S/JM-H /_^T/a` HKRecHORdKRpM_N dKR¬CbcRpcZR!Jgtnce JMeRHKN1_\JHKdkjs]/ R1`bj \ ] ]idUJ1'_a[cRU/JMHOc P \ ] d9 ;fe !"!#!O9 ;fg ¤¥[cRU1NgfibcR/bcpmZ_O]iJMp]idoHKRZbcHOdw]`Rf`uncR 0<pcRn lMu hiZj:k ) O* lnm o m ªM ] o \ ] hi<zy{ +* |! ] k obprqts H Hvuxw J-RHORx£{R¥ZNgf`f o _\[cRx_aHONMpcdw]`_O]iJMpemHOJMlcNls]`f`]`_O]iRdJg<_\[cRRpC]iHKJpcPSRpM_ ~ R¥NdKdObcPSR)_\[cN1>_ } o o )/JMHRNZ\[ <jMNMpcnU_a[cNgb_ h~']idL1]`MRp1 .cbcHw_a[cRHKPQJMHOR1j\_\JtecHORMRpM_fiRNC]ipcLt_\[cR)dw_aNg_aR)dKecNMZR1j£RNs dKdObcPSR _\[cN1_ L s o ]` oT m ¤¥[cR'/bcpcZ_K]iJ0p h i ]idJbmHPQNg]ipodKbcl^yvRZ_J1^]ipMRdw_O]iLMN1_K]iJp~6 2vCp K^RZ_K]iJp-¥£{Rx8JHKP"b^fiN1_\RZJMpcn^]`_O]iJMpcd JMp jb5 ; 6j S ; NMpcWn sh~"bcpmncRHt£t[^]iZ\[ ZRHw_aNg]ipecHOJMeRHw_O]iRd¥Jg hiecHOJMecNMLNg_aR15 .cHKJP _a[^]idW£{R"£¥]`f`fxlR NMl^fiRt_\J"ncRHv]`MRPSJpcJg_aJMp^]iZ]`_ªu!ecHKJe~RHv_K]iRdJg_a[cRtJMe^_K]iPQNgf<eJgf`]iZu1 Fb^_fiR_Wbm4d 0<HOdw_{ZJMpcdv]inmRH)£t[^]iZ\[ dwumdw_aRPSd{ZNMp7lR-NpcNgf`u^Rnbmdv]ipcL"_\[^]id_ªu^eRUJg1N1fibmRt/bmpcZ_O]iJMp 8. 6U.
(20)
(21) "!# . <. .,2 ) " 7"*
(22) ' 7&/"" " "6 41. "6 7". b^]`_aRJg _\Rpjm_a[cRHKRoPSNuRar^]idw_N7dv_aNg_aRUdOemNZR _a[cNg_ncRdKZHv]il~Rdx_a[cRdvu^dw_aRPNMpcn]iddw]iPQe^fiRHtNMpcn \dOPSN1f`fiRH| ]ipdOJMPQRQdKRpcdOR:W_a[mNp¢9b +a W L^`jxZJMpcdv]incRHUNMp z1z ^TS¬CbcRbcR,?Ù]`_ad"dw_aNg_aRSZNp lR ncRdKZHv]il~Rnlu;_ª£JZJbmp_\RHOdjJpmRZJbcpM_K]ipcL _\[cRNHKHv]`1NgfidNMpcn_\[cRJ1_\[cRH"_\[cRncRecNMHv_abmHORd8_\[^]id £JbsfinZJHKHORdOe~JMpcn"_aJ_a[cR0 ZJMPQe~JpcRpM_']ip_a[cRUecHORC]iJMbcd¥dv_\N1_\RncRdKZHv]ie^_K]iJp3?CNgf`_aRHKpcN1_K]`Rf`u1jm_a[cR ¬CbcRbcRUZNMpl~RncRdKZHv]il~RnQlMuN!dv]ipcLgfiRUdvu^dv_\RP gNHw]iNl^fiR-ncRdOZHw]il^]ipcL]`_\dfiRpcL1_\[ Xd¥]ip (`TksjTk +/j3]`_W]id¥]ip_a[c5R 0<HKdv_¥/JMHOP"bsfiN1_K]iJp 8]/ R1Jg_\[cRoRpsfiNHKLRn7dv_\N1_\RdOemNZR! 9b +O'_a[cNg_ PSJpcJg_aJMp^]iZ]`_ªu"£¥]`f`fl~RtJls_aNg]ipcRn!]ipN!pcNg_abmHONgfc£{NkuMj3NMpcn7bcpcncRHdOJMPQR{/bcHw_a[cRH'NdKdObcPSe^_O]iJMpcdkj1_a[cRdKR ecHKJe~RHv_K]iRdIZNMp7lRW_aHONMpcdwfiN1_\Rn!_aJPQJMpcJ1_\Jps]iZ]`_ªu!ecHOJMeRHw_O]iRdÙ£¥]`_a[HORdKeRZ_x_a J RUpcRars_{JMl^_\N1]ip7N"n^u^pcNMP!]iZtecHKJLMHONMPQP]ipcLR¬CbcNg_O]iJMp!8JHx_\[cRpcR£#dv_\N1_\ R _\[cN1_¥ZJMHOHKRdOe~Jpcnmd _\JªC RNMdOdObmPQR_a[mN1_x_a[cRHKR¥Rars]idv_adN8bcpcZ_O]iJM p
(23) 7£t[^]iZ\[PQNMecd_\[cRtPSJ^ncRfcdv_\N1_\Rd v +* Ù]ip_\J_a[cR dwumdw_aRP¨dw_aNg_aRddObcZ\["_\[cN1_ nd
(24) : ) O* 7 #9b +*- r$©Rx£¥]`f`f<ZJMpcdv_\HObcZ_NW1N1fibmRI8bcpcZ_K]iJp h i JMp dKbcZa[|_a[cNg_ h i)
(25) = ) +* O Q_hi< ) +*R \jNMpcndObcZ\[_\[cN1_-P!]ip^]iP]i]ipcLQNMZ_O]iJMpcdtZJMHOHKRdOe~Jpcn~t¤¥[cR PSN1]ip ecHOJMl^fiRP ]ido_\[cR"8NZ_U_a[cNg_Ndvu^dv_\RP dv_\N1_\R"ZNp l~R!HORecHKRdORpM_aRnlMu dORRHKN1f'PQJ^ncRf)dw_aNg_aRdj ]/ R1`j
(26) ]idWpcJ1_]ip1ywRZ_O]`MR1 RncR 03pcR k h ~1jk ? ; j¥NMpcn;Nk dKdObck PSRQ_\[cNg_"/JMk HQNgk f`{f k O* k Npcn Z +* \Qj * ; k dk G j dKbcZa[|k _a[cNgk _
(27) = O*
(28) : Z +* aj h ~
(29) = O* + _h ~ +* _h ~ O* WNpc!n ? ;
(30) = O* + ? ; +* >@? ; +* a'¤¥[^]idtPSRNpmd)_\[cN1_¥Ngf`fn^]iHORZ_¥ZJMdv_adx]ipZJMHOHORdKeJMpcn^]ipmLodw_aNg_aRdxNHKRoR¬CbcNgf/ J£;£R¥ncR 0<pmR)_\[cRnce"Je~RHONg_aJMHOd3/JMH_\[cRxdvu^dv_\RP|¤JUNMdOdObmHOR'_a[cNg__a[mRIdKNPSRIRMRp_\d)NMHORxNZ_K]`R ]ip ZJHKHORdOk e~JMpck n^]ipcL"PSJ^ncRfdv_aNg_aRdjm£{R!NMdOdKbcPQR-_a[mN1_-/JMHNgf`f k +* k WNpmn +*"kZ aMj k * ; W GwjdObmZa[ _\[cN1#_
(31) = +* >$
(32) : Z +* \jcNMpRRpM_¥]idtR]`_\[cRHNZ_K]`RJH]ipmNZ_K]`R-]iplJg_a[ +* {NpcWn % +* a ¤JRMRHvu RRpM_U]ip¡_\[cR"PQJ^nmRfÙdKecNMZRFHORdKb^f`_O]ipmLQ]ip N_aHONMpcdw]`_O]iJMpdONu 8HOJMP v +* W_aJ ) +*{A K ; O ZJMHOHKRdOe~JpcnmdtN_aHKNpcdw]`_O]iJMp ]ip _a[mR!dvu^dv_\RP¹dw_aNg_aR1j©dONu /HOJM' P &T(
(33) : v +* -_a*J ) ; &L+
(34) = ) +*8A K ; a ¤¥[Cbcd¥ncR 03pcRt_\[cRonmeJMeRHKN1_\JHKd 9v ;IlMu I. A. 9< ; 5: ,&< l ?R ;+,&< vA. BCED S"; R= <A R 5= -);,&v <AN+P R: 5: ,&< |$ F G HJFRH F G. ]`.) ; & / NMpcn 9 ;05: ,&< b ? ; -&v <A 5= -&v ]`. ) ; &V /U .cHKJP_\[^]id]`_¥/Jgf`fiJ£td¥_\[cNg_!9 ; 5= -&v b 9 ; 5= ) +*R \ .]ipcNgf`f`u1jx£{RS[cNMRQ_\JZJpcdw]incRH-_a[cRSZa[cNMpcLMRd]ip _\[cR!RpMC]iHOJMpcPQRpM_ JRHOR_a[cRSZJpcns]`_O]iJMpcdoNMHOR dKJPSR£t[cN1_~ZJPSe^f`]iZNg_aRn@?\_\[cR)HKRNdKJpmdc/JMH~_a[^]idZ\[cJg]iZRNHKR£Rf`f]`f`fibmdv_aHKN1k _\Rnt]ip-_a[cRÙNncP]idOdw]iJp-k ZJpMk _aHKJ1f RarmNMPQe^fiR1jÙfiNg_aRH]ipe _a[se]id"dORZ_O]iJMp«RNMdO] dKe bcPQe R"_\[cNg] _"]`t_a[cRHKRQNMk HOXR k * 6j *"7dObmZa[ _a[mN1 _
(35) = +* 8
(36) = +*"Z aj'_a[mRp ]`4
(37) =zy O* 5
(38) =zy6 +* a J££RZNp 21 1 NMpcn bcpmNP"l^]iLMbcJMbcdvf`uSncs R 0<o pcR Ns pcn o lMu w < ; =?o > o ; =?> w 31 o 1 o Npcn ] ; =?> o ; =?> ] o .]ipcNgf`f`u1j3]`6 \ ] N9 ;fe s !"!#!O9 ;fg j3w fiR@_ \ s8 ] 7:9A9 ;f7:e 9 !"!"!B9 ;%g xs ¤¥[cR-1Ngfibcw 7R9 8bcpc7Z9_K]iJpS]ipw_a[cR-dvu^dv_\RPdv_aNg_aRW]id ncR 03pcRnlMu ] h iZj:k ,&< bm. C 8D G H
(39). ª_ZNp-pcJ£l~R)dK[cJ£tpW]ipcncbcZ_K]`Rf`u_\[cNg_ 2. = +* Z a
(40) ". Ð. U6U NV W XYZ. m C \ ] h i)FE |! C s k H ] Hvu w D h i : k +* k O bh i k +* k >@h i % +* m]`8
(41) : k +* k > .
(42) . ! #H' H. . tÌ_aRp _a[cRSRRpM_ad"[mNRN ec[Mu^dv]iZNgfx]ip_\RHOecHKR_aNg_O]iJMp]ip _a[cRSdvu^dv_\RP dv_aNg_aR1j©f`]i¯1RNMpNHKHv]`1NgfI_\J N¬CbcRbcR1FIu ncR0<p^]ipcLS_a[mR"dvu^dv_\RP dv_\N1_\Ro_\[cHOJMbcLM[_a[cR"PSJ^ncRf/jNMpcn_\[cR£{Nku4hi]idncR0<pmRnj3_a[cR dwumdw_aRP dv_\N1_\R¥ZNpcpmJ1_xncReRpmn!JpS_a[mRtJHKncRH)JgRRpM_ad'¤¥[^]idecHOJMeRHw_ªu]id¥ZN1f`fiRnSeRHKP"b^_aNMl^]`f`]`_ªu"]ip (`Tk, +/x¤¥[mRHOR¥_\[cRtNMpcN1f`u^dw]idI]idncJMpcR¥]ip7_\[cRtJg_a[cRH'n^]iHORZ_K]iJp@PÙdv_\NHw_O]ipcL-/HKJP N"e~RHOP"b^_\Nl^fiRdwumdw_aRP N 1NgfibcR-/bcpmZ_O]iJMpQ]ip7_aRHKPQdJg_a[cR-dOZJMHORdx]id¥ncRHv]`MRn 7³ ¢^ 2vpS_a[mRpcRars_dORZ_O]iJMp!£Rt£¥]`f`fdK[cJ£ ZRHw_aNg]ip!ecHKJe~RHv_K]iRdJ1_\[cRt1NgfibcRW/bcpcZ_K]iJ p h i [cJgfin NgfidOJ-/JMbH 9 ;fe ! ! ! 9 ;fg hi<'¤¥[cRpjCNg _\RHdO[cJk£¥]ipcL_\[cNg__a[cRdKNPSR{emHOJMeRHw_O]iRdNHKR¥ecHORdKRHvMRno£t[s]`fiR¥_aNM¯M]ipcL f`]ipcRNMH"ZJMP"l^]ipcNg_O]iJMpcdkj£{R7ZJpmZfibcncR"_\[cN1_U_a[mRQdONMPQRecHOJMeRHw_O]iRd-[cJ1fin /JMH hiZj:k:«¤¥[^]id"NMececHKJNMZa[ [cJk£{RMRHZNMp¡NgfidOJl~R!NMece^f`]iRn _aJJg_a[cRHUPQJ^ncRfidj~/Ngf`f`]ipcLJMb^_adw]incR"_\[cR!dOZJMe~R"J1_a[s]idemNe~RHk .cJMH RarmNMPQe^fiR1jÙ_a[mRQJMe^_O]iPSN1f`]`_ªu J1¥_\[cQR RTSQHKb^fiRS/JMH"n^]idOZHKR_aR!_K]iPQRSPQJ^ncRfidU/Jgf`fiJ£td"n^]iHKRZ_Of`u /HOJMP _a[cR HKRdOb^f`_"8JH_\[cRZJMpM_O]ipCbcJMbcd_O]iPSR!MRHOdv]iJMpjNMd"Lg]`Rp]i7p J-JHKn^] yv¯ UJ^J1fiR ( 18 +/
(43) -J1_\R!_\[cN1__\[^]id n^]idKZHOR_\Rt_O]iPSRHKRdOb^f`_]id¥ecHKJRpn^]iHKRZ_Of`uQ]ip7 R]idO[cNMbce^G_ ( *=<+/ ¤¥[^]idtRpcnmdI_\[cRnmRdOZHv]ies_O]iJMpQJg_a[cRUPQJ^ncRf`]ipmLem[cNdKR1 . . )& &/ %0 + / , '13 2&/
(44) +&/'1 13
(45). vp_\[cRQZJMpM_aRars_"J1tz NMHO¯gJncRZ]idv]iJMpecHOJ^ZRdKdORd/z Gxda\j¥ªMPQNu HOR-<RZ_U_a[cRS/Jgf`fiJ£¥]ipcL^¤¥[cR ecHKJlsfiRP ]id¥NgfiHORNMn^uS]ip|N_O]iPQR¦Fn^]idKZHOR_O]iRn/JMHOP FHKN1_\[cRH)_\[cNMpN!ZJMpM_O]ipCbcJMbcdx_O]iPSRecHKJl^fiRP7a 8 8 =E ¤¥[cRHORNMHORdOJMPQRlcNMdv]iZ_K]iPQReRHw]iJ^ncdoFZNgf`fiRn PSNZHKJ1¦Fdv_\NLMRda'ecNMHONMPQR¦ _aHw]iRnlMu 'j3NMpcn h i ) +* x]id¥_a[mRt1NgfibcRZJHKHORdKeJMpcn^]ipcL-_aJ PQJMHOR-dv_aRemdI_\J!LMJmj3Lg]`Rp7_a[cNg_ _a[mRt]ip^]`_K]iN1fdv_\N1_\R¥]id v +*^a R ) +* ^ a3 ^QncRpmJ1_\Rd¥NQP!]iZHKJ1¦Fdv_\N1_\R 8 G8 ,# ¤¥[cRdw_aNg_aRdKecNMZRoJg_a[mRz«G¢]id-N!_\bce^fi' FJMHxec[cNMdOR:Ù£¥]`_a[^]ip7_a[mRe~RHv]iJ^n j3Npmn £¥]`f`fncRpcJg_aRdxN!P!]iZHKJ1¦Fdv_\NLMR£¥]`_a[^]ip7_\[cN1_ec[cNMdOR1 ZNMpl~Rt_\N¯gRp_\J!l~>R M!Ng_¥_a[cR-lRLg]ipcp^]ipmL"J1N!PSNZHKJ1¦Fdv_\NLMR1 8 ! " ! ! G
(46) E 8 X] _I_\[cRlRLg]ipcp^]ipcL-J1NUPQNMZHOJg¦§dw_aNMLR'£{RWNHKR¥N1_xdOJMPQRdv_\N1_\R ) +* + \5]`_\[¡ecHKJlmNl^]`f`]`_ªu £{R!PSJR]ipcdv_\NpM_aNMpcRJMbcdvf`u7_aJ7RpMC]iHOJMpcPQRpM_dw_aNg_a0R yj NMpcn¡_\JN_ªu^e8R ^ P!]iZHOJg¦Fdv_aNg_as RQ/o ecw [c NMo dOR:aj / ^4/ ` RQPSNuncRpmJ1_\R_a[cRSpcR£ dw_aNg_aR!NMd zy O* z^ + + a 2ª_\[cRU_aHONMpcdw]`_O]iJMp£NMdt_aJSdOJMPQRUec[cNMdOR ^Q_\[cRpNdKeRZ'] 0<Z ^1¦8_ªu^eRdKR¬sbmRpcZRJg ]]ipmdv_aNMpM_aNMpcRJMbcd)ZJMpM_aHOJgf`fiRnS_aHONMpcdw]`_O]iJMpcdIJ^ZZbmHkj^NMpcn7_a[mRdv_\N1_\RRMJ1fib^_K]iJp7[cNMd_a[cRW/JMHOP 2. zy{ +* z^ O O. . zy O* k z^ + . ! ! !" zy{ +*!"$# k z^ ] PL O. . zy{ +*!" O |!. RSPQNu _a[CbcdZJMpcdv]incRHUN dKRZJpcn«_O]iPSR!ZJbmp_\RH_\[cNg_ZJMbcpM_adU_a[mRdOR C! #=E £¥]`_\[^]ip _a[mR¥ec[cNMdOR ^m'¤¥[cRtdw_aNg_aRNg _aRHÙ_a[cR_a["]ipcdw_aNMpM_aNMpcRJbmd_aHONMpcdw]`_O]iJMp"£¥]`_a[^]ipSN0^1¦8_ªume~R¥dOR¬CbcRpmZR z ^Sec[cNMdOR:[cNMd¥_a[mRo8JHKP zy{ +*!% f^Z + a-¤¥[cRU_aHKNpmdv]`_O]iJMpecHKJlcNMl^]`f`]`_K]iRd£¥]`_a[^]ip ZJMpcdKRZb^_O]`MR P!]iZHKJ1¦Fdv_\NLMRdNMHORW/bcpcZ) _K]iJpmdIJg_a[cRtZbmHOHORpM_dv_\N1_\RtNpmnNMZ_O]iJMpÙX_{_\[c&R ) _a[QP]iZHOJg¦§dw_aNMLR1jMNMp NMZ_O]iJMp R4 (' R ) % ; ] > R % ; ] >+* ]idtZ\[cJMdORpj_a[cR-dv_\N1_\RPQJkRdx_a,J fy{ +*(A2K % ; ] > f^Z 0AN + '£¥]`_a[ ecHKJlcNMl^]`f`]`_ªu R ; jÙNMpcn _\VJ fy{ +* f^Z A + ¥£¥]`_\[ecHKJlmNl^]`f`]`_ªu P R # J-RHOR1!j ,)+) ^ -ncR 0<pcRd £t[^]iZ\[nceJMeRHK9 N1_\JH']id9 bcdKRnN1_t_\[cR C_a[P!]iZHKJ1¦Fdv_\NLMRt]ip_\[c0R ^1_\[|PSNZHK9 J1¦Fdv_\NLMR1ß"z JMHORJkRHkj 6U.
(47)
(48) "!# . . MN p!]iPQPSRn^]iNg_aR¥ZJMdv_IJgb? ) % ; ] > zy{ +* ADS ) % ; ] > R= ']id¥Za[mNHKLRn©XtÌ_aRH ] P!]iZHKJ_\HONMpcdv]`_K]iJp£{R NMHOHv]`MR_\J"N!pcR£>PQNMZHOJg¦§dw9_aNMLR£¥]`_\[N!dv_\N19 _\RJg_a[cRW/JMHOPnzy{ +* " + \ 2vp"_\[cRNl~JMR{nmRdOZHv]ies_O]iJMpo£R¥[cNMR]ip"/NMZ__ª£J_K]iPQRecNMHONMPQR_\RHOdkjkJpmRI¦ZJMbcpM_O]ipcLW_a[cR'_O]iPSR{e~RHv]iJ^n 58_\[cRoPSNZHKJ1¦Fdv_\NLMR:ajNpcnNSdORZJMpcnjs£¥]`_a[^]ip RNMZ\[_K]iPQRUeRHw]iJ^njs£t[^]iZa[ZJMbcpM_ad_\[cRUP!]iZHOJg¦Fdv_aNMLMR1 ¤¥[^]idUn^]idw_O]ipcZ_K]iJpPSNu lRZJMPQR-]iPQe~JMHv_aNMpM_¥£t[cRp JMpcR]id-]ip_\RHORdw_aRn7]ip¡PSJpcJg_aJMp^]iZ]`_ªuecHOJMe~RHv_O]iRd ]ip_K]iPQR1 KC_aNMpcncNMHOnSJl^ywRZ_O]`Rd¥NMHOR-RarmeRZ_\RnQZJMdv_adJMRHtC N 0<ps]`_aR-]ip_\RHv1Ngf/js_a[cRURarmeRZ_\RnQNMRHONMLR-ZJdw_ad NMpcn;n^]idKZJbcpM_\RnZJMdv_\dk -J1_\RQ_\[cN1_!ns]idOZJMbcpM_O]ipcL ZNMplRS]ipM_aHKJ^ncbcZRn lu_\N¯M]ipcL } o o xj £t[cRHKR ]id-_a[mRns]idOZJMbcpM_t/NMZ_aJMHkU¤¥[cRHKRU]idoNSfiNHKLRf`]`_\RHONg_abcHKRoJMp_\[cR"Rars]idv_aRpmZRoJgs IJMe^_O]iPSN1f e~J1f`]iZ]iRd"NMpcn _a[mRQZJMpMRHOLMRpcZRQJg( h i _aJ|_a[cRSn^]idOZJMbcpM_aRn JH"NkRHONMLMRZJMdv_\dk Xtf`_\[cJbmL[ LRpmRHONgf ZJMpcn^]`_K]iJpcdxZNMpl~RLg]`Rpjm£RoHKR/HKN1]ipS/HKJP ncJg]ipcL"dOJ!NMpcn7ncRNgf<£¥]`_a[7_\[cRdOR¥]idKdObcRd8JHRNMZa[7PQJ^nmRf dKRecNHKN1_\Rf`u1 2vp¡NMece^f`]iZNg_O]iJMpcdkj~N7PQNMZHOJg¦Fdv_aNMLMRJg _aRpZJMHOHKRdOe~Jpmncd_aJSPQJ^ncRfid¥£¥]`_\[ R]`_a[mRH8] WQ N 0^rcRn|_O]iPQR e~RHv]iJ^n;FdvfiJg_O_\Rn_O]iPSR: ?©_a[cRdKR!PQJ^nmRfidNMHOR!ZNgf`fiRn
(49) ! 8 !" PQJ^ncRfid 8]`] UdONMPQesfiRn RHKdv]iJMpcd JgZJMp_K]ipCbcJbmd"_O]iPSRPSJ^ncRfidk 2vp_\[cNg_!ZNdKR1jx_a[cR7ncbcHKN1_K]iJpJgN¡PSNZHKJ1¦Fdv_\NLMR"]idSRarce~JMpcRpM_O]iNgf`f`u n^]idw_aHw]ilcb^_aRn~¤¥[^]idPQJ^ncRf ]id_a[cRJMpcR'Jl^_\N1]ipmRntlMu_a[mR)bcp^]`8JHKP!]iNg_O]iJMp¥_aRZ\[cp^]i¬CbcRd~ncbcR©_aJ ]iececPSNp ( *,+)FdKRRtNgfidOJ K^RHw/JMJ ( *C8 + a¥F¤¥[^]idx]id_\[cRt_ªu^e~RJgÙPSJ^ncRfc_\[cN1_x£Nd¥dw_abcn^]iRn]i; p (`TCj©Tk, +/ßoRUZN1f`f _\[cRdORW_a[cR !"
(50) ! "!8 E
(51)
(52) X lcNMdv]iZHKRdv_aHw]iZ_O]`MRo8RN1_\bcHORUJg)_a[mRo_K]iPQR¦Fn^]idOZHKR_O]iRnSPQJ^ncRfidj<NMddw_abcns]iRn]ip (`T^jTk, +/j~]idW_a[cNg_ JMp^f`u !" , " ! "!# PSNuJ^ZZbmH{Ng_N"_K]iPQR!8]/ R1{N1_tNSPQNMZHOJg¦§dw_aNMLR:\) -p_a[cRUJg_a[cRH¥[cNMpcnj ]ip7n^]idOZHKR_aR_K]iPQRtPSJ^ncRfidkjg_ªu^e^]iZNgf`f`udKRRHONgfc_\HONMpcdv]`_K]iJpcd'PQNu!J^ZZbmH]ip7RNZ\[!_K]iPQR¦FeRHw]iJ^nFPQNMZHOJg¦ dw_aNMLR:\¤¥[^]idtPSN¯gRd¥n^]idOZHKR_aRt_K]iPQRUPQJ^ncRfid¥bmdObcNgf`f`u|[mNHKncRHx_aJQNMpcNgf`u^R1 JJk£{RMRHkjm]`)£RNdKdObcPSR _\[cN1_]ipN!ns]idOZHOR_\Rt_K]iPQRPSJ^ncRf<RMRp_\d¥[cNMeceRpSJpmRoNg _\RH{RNMZ\[|Jg_a[mRHkj^e~JMdOdv]ilsf`u!]ipcdv_\NpM_\NpcRJMbcdwf`uMj £R¥ZNp"PSJ^ncRfM]`_)£¥]`_a[ZJpcdKRZb^_O]`MRInme"Je~RHONg_aJMHOdj:RNMZa["HKRecHORdKRpM_O]ipcL¥NUdv]ipcLgfiRRRpM_ Ù¤¥[^]id'HORdObsf`_ad _ªu^e^]iZNgf`f`uQ]ip7ZJpMMRar7ZJP"ls]ipcN1_K]iJpmdJ1nce7JMeRHKN1_\JHKdkjgN1f`_\[cJMbcL[PQJMHOR¥ZJMPQe^fiRarZJMpcdv_\HObcZ_K]iJpcdÙZNp l~RbcdKR/b^f/x¤¥[Cbcd¥JMbcHnce7/JMHOP"bsfiN1_K]iJp ªMxRpcNlsfiRdI_\J"[cNMpcn^fiR-_a[cRdKRtdv]`_\bcN1_K]iJpmd{NMd£Rf`f/ Jpmdv]incRHNz NHK¯1J¨e~J1f`]iZu_a[cNg_ Z\[cJ^JdKRd7£t[cRp>_a[cRHKR¡NMHOR PSJHKR¡PSNZHKJ1¦Fdv_\NLMRdQ_\J5LMJ NMpcn£t[cRp¢_\[cR P!]iZHKJ1¦Fdv_\N1_\RFec[mNdKR:!NMpcn5P]iZHOJg¦§dw_aNMLRNMHOR +) ^ \jtN;P]ip^]iP!]idKJH7NemeRNMHv]ipcL ]ip 9 ; ] > h
(53) i ) +*J ) ^ aj 7Y "! ! ! )z^ 3P gj~£t[cRHK8R h
(54) ) +* $J ^ d9 ; r e z^ ! ! ! 9 ;fg ] > hi< v +* a5 2ª_-]id £Rf`9f¯spmJ£tp_a[cNg__a[^]ide~J1f`]iZuS]idtJMe^_O]iPSN1f~bcpcncRHx/Ng]iHvf`u7LRpmRHONgfZJMpcn^]`_O]iJMpcdFdKRRR19 L^ ( *OM+ a '&/% 0 ¤¥[cRUn^u^pcNMP!]iZ-ecHOJMLHKNPSP!]ipcL-R¬CbcN1_K]iJp ªMxPQNu7NemeRNMH)]ip_\[cRt8JHKPJ1CN 0^rcRne~J1]ipM_¥R¬CbcNg_O]iJM@p P h6 ) +* > m o m FC ] o \ ] h6fy{ +*R ! ] k olprq s H Hvu w -pcncRH/Ng]iHvf`u LMRpcRHKN1fZJpmn^]`_O]iJMpcdkjm_\[cRHORURars]idv_ad-NQdKJ1fib^_K]iJp_\J«/s¥NMpcn]`_-]idobcps]i¬sbmRo£¥]`_\[^]ip dKJPSR ZfiNMdOd¥Jg/bcpmZ_O]iJMpcd-/dORR-R1 LmH ( * M,+ \ z JMHORJMRHkj3]ip_\[cRZJpM_aRars_tJgIZJMpM_aHOJgf/Mj h6 v +* ¥R¬CbcNgfidt_\[cRoJMe^_K]iPQNgfÙZJMdv_"8_a[mRoP]ip^]iP"bcPZJMdv_ JMRHN1f`fe~Jgf`]iZ]iRda"8JH7NZJpM_\HOJgftecHOJMl^fiRP £¥]`_\[5NMp¢]ip 0<ps]`_aR[cJMHv]iJMp 8]ip 0<p^]`_aRf`u;PSNpMu¢PQNMZHOJg¦ dw_aNMLRd\oNMpcn £¥]`_a[]ips]`_O]iNgfWdw_aNg_aR ) +*R \ JMpcdv]incRH"N«dv_aNg_O]iJMpcNMHvu¡e~Jgf`]iZu_\[cN1_"Z\[cJ^JMdORdU£t[cRp _a[cR Ð. U6U NV W XYZ.
(55) TM. ! #H' H. . P]iZHOJg¦§dw_aNg_aR/ec[cNMdOR:xNMpcnP!]iZHKJ1¦Fdv_\NLMRNMHOR ) ^ aj~NQP]ip^]iP!]idKJH¥NMece~RNHw]ipcL]`>9 ; ] > h i ) +* $J ^ aj @ "! ! ! )z^ bPLgjm£t[cRHO( R h
(56) ) +* $J ^ >T9 ; [ e f^ ! ! ! 9 h6 ) +* aN 2ª_]id¥£Rf`fÙ¯CpcJk£tp_\[cNg_I_\[^]id e~J1f`]iZuS]id¥Jes_O]iPQNgfbmpcncRHx/Ng]iHvf`u7LRpcRHKN1f~ZJpmn^]`_O]iJMpcdtFdORR-R1;fg Lm9 ] T > ( * M,+ \x¤¥[^]id¥[cNMeceRpm9d_aJlRW_aHObmRt/JMH l~J1_\[QZJMpM_O]ipCbcJMbcd_K]iPQRtPSJ^ncRfid)_\[cNg_INMHOR¥_K]iPQR¦Fn^]idOZHKR_O]iRn8£t[mRHORtn^]idKZHOR_K]iN1_K]iJp]id¥ncJMpcRtNg_x_O]iPQR ]ipcdw_aNMpM_ad'_a[cNg_{NMHOR-RarmeJMpcRpM_O]iNgf`f`u!n^]idv_\Hv]ilcbs_aRnj (`TksjTk, + xJMHI8JHxHORNgfZJMpM_O]ipCbcJMbcd'_O]iPQRWZJpM_aHKJ1fFdORR R1 L^ .fiRP!]ipcL"NMpcn K^JMpcR>H (`T < +[3s\ .]ipcNgf`f`u1<j h ) +*R xZNMpQl~RtZJMPQecb^_\Rn"bcdv]ipmLogN1fibcRW]`_aRHKN1_K]iJpj1]/ R1xluSZN1fiZb^fiNg_O]ipm8 L h i ]ipcncbmZ_O]`Rf`u ]ip¨ªM!NMpcn;_aNM¯M]ipcL _a[cRf`]iP]`_|NMd R ecHKRdORpM_!]ip_a[cRpcRars_7dORZ_O]iJMpcd!ZJMpcn^]`_K]iJpmd!/JMH _\[cRdObclcPSJ^ncb^fiNMHv]`_ªu7J1Q hic¤¥[^]idt£¥]`f`fÙ]iPQe^f`u_a[mRdKbclcPSJ^ncb^fiNMHv]`_ªuJg_\[cRUf`]iP!]`{_ h'jNpmn [cRpcZR-_a[cR Rars]idv_\RpcZRJ1xPQJMpcJg_aJMpcRoe~Jgf`]iZ]iRdt/JMHl~Jg_a[_a[mR"ZJpM_O]ipCbcJMbcd¥_K]iPQR"ZJMpM_aHOJgfecHOJMl^fiRP NMdt£Rf`fINMdt]`_\d n^]idKZHOR_K]iRn!RHKdv]iJMp . . '1 7". . 7 ¸ 8 /· · <g· ¢·¸³ ¤¥[^]idxRarmNPSe^fiRZJpmdv]idv_\dJg©Ndv]ipmL1fiR¥¬CbcRbcR8JH'£t[^]iZ\[!_\[cR¥NHKHv]`1Ngfid ZNMplRSZJpM_aHKJ1f`fiRn~ ¤J PQJ^ncRf_\[^]id£R_\N¯gR!_ª£J¡RMRp_\dkjÙ_a[mRQ0<HKdv_"ZJMHOHORdKeJMpcn^]ipmLQ_\JNHKHv]`1Ngfidkj _\[cR!dORZJMpcn_\JncRecNMHv_\bcHORdC.cJMHU_a[cR!PSJPSRpM_£RQNMdOdObmPQR_a[mN1_-_a[cR!RpMC]iHOJMpcPSRp_UZJpmdv]idv_\doJgN dw]ipcL1fiR"dw_aNg_aRQ8£t[s]iZa[£R!JMP!]`_t8HOJMP_a[mR"pcJ1_\N1_K]iJp3aW¤¥[sbmd_\[cRPQJ^ncRfdv_\N1_\RU]i(d *7 * k +* ajNMpcn a */ * k * $M'¤¥[cR_ª£{J"nsumpmNP]iZ{emHOJMLHKNPSP!]ipcLtJMe~RHONg_aJMHOdZNMp"/JMH)RarmNMPQe^fiR¥l~R¥ncR 0<pcRn"lMu . .
(57). NMpcn. 9 k5=* b@? I*R vA ~ B CED e OQPDR= aA R=5:I*(ALK k" MANOP R= O5=* |$ HJFRH F 9 5:I* b? * vA. BCED P R ` A R=5=*(A2K vA+3PR: +5:I*R $ F 1 JH FRH F 1. ]`>*k * NMpcn 9 5=* b@? * vA 5=* Jg_a[cRHw£¥]idOR1TJ-RHOR ZNpUlRÙ]ipM_aRHOemHOR_aRn-NdlsfiJ^Za¯M]ipcL¥ZJMdv_\dkjZ`¢NMd©NWHOR£NHKno8JHdKRHvC]ipcLtNtZbmdv_aJMPQRHj NMpcn ?Nd¥[mJ1fin^]ipmL!ZJdw_ad6 2ª3 R R _a[mRncRecNMHv_\bcHORdxNMHORbmpcZJpM_\HOJgf`fik Rn ¤¥[cR"dvu^dw_aRP dw_aNg_aRU]idncR 03pcRnlM u
(58) :I*R *kP4* o¤¥[sbmd]`
(59) :I*
(60) :I* \jl~J1_\[ * k Npcn * NMHORUR]`_a[cRH¥NMZ_O]`MRJH]ipcNMZ_O]`MR1j~L1]`MRp_a[cRUncR 0<ps]`_O]iJMp|Jgb ¥¤¥[^]idtRpmdObcHKRdI_\[cNg(_ h i * > h i
(61) =* O ]`_\[cRJMlMC]iJbcd¥ZJMpcn^]`_K]iJpmdU/JpS_aHKNpmdv]`_O]iJMp7ecHOJMlcNMl^]`f`]`_O]iRdNMpcnZJdw_{8bcpcZ_K]iJpcd\)NMHOR-dONg_O]id 0<Rn ¤¥[cRS1N1fibmR8bcpcZ_K]iJp J1-N ZJpM_K]ipsbmJbcd_K]iPQR7PQJ^ncRftFdKNPSe^fiRn¡Ng_!RarmeJMpcRpM_O]iNgf`f`un^]idw_aHw]ilcb^_aRn _K]iPQRdaxZJMb^fin7pcJ£>lRUncR 0<pcRnSlMu . h i j=k * b k 9 k h i I*R MA 9 h i I* |! .cJHKPQNgf`f`u1j_\[^]idoPSRNpmdNMpRpMC]iHOJMpcPQRpM_t£¥]`_\[ 9 )$j 7cgj |; ; NMpcnV\ ; 9 ; jÙ/JMH 1>d "NMpcn k A g ß"¤¥[^]id]id]ipmncRRn!_\[cRt1NgfibcRW/bcpcZ_Ks ]iJpSJ1N!¬Cw bcRbmR¥£¥]`_a[GJg]idOdKJp7NHKHv]`1Ngfid £¥]`_a[!HKN1_\R k R k NMpcn!Rarme~JpmRp_K]iN1fcdKRHvC]iZRx_O]iPSRdW8£¥]`_\[!HONg_aR R ajC8JH'NpNHKl^]`_aHKNHwuZJMpcdv_\NpM_. . X¨n^]idOZHKR_aRW_O]iPQR-PQJ^ncRf3ZJb^fin[cNkR-_a[cRW1N1fibmR8bcpcZ_O]iJMp. h iZj=k * b 9 k 9 h i * |!. 6U.
(62) TMT.
(63) "!# . -J£ R k Npmn R dORHvMRoNMd¥NMHOHv]`gN1fNpmnncRemNHw_abcHKRtecHOJMlcNMl^]`f`]`_O]iRd ¤¥[^]id"dv]iPSe^fiR!PSJ^ncRf)ZNMpl~R!LMRpcRHONgf`]iRn]ip 1NMHv]iJMbcdU£{Nu^d X 0<HKdv_U£{Nu £Jb^fin l~R!_aJNgf`fiJ£ lcNg_aZ\[¢NMHOHw]`1N1fid X-dOdKbcPQR7_a[mN1_7Zbcdv_\JPSRHOd"NMHOHv]`MR]ip5lmN1_\Za[cRdJ1dv]iRQ®¤¥[^]id7ZNpRNdw]`f`u¢lR PSJ^ncRfiRnjywbcdv_tlMu7_aNM¯]ipmtL */t* k * $NpmGn
(64) =* bt* k P.* XpcJg_a[mRH¥LRpcRHKN1f`]iNg_O]iJMpS£{JMb^fin l~RNQPQJ^nmRf]ip£t[s]iZa[_\[cRHORUNMHORlJg_a[ZJMpM_aHOJgf`fiRnNMpbcpcZJMp^¦ _\HOJgf`fiRn;NHKHv]`1Ngfidk¤¥[cRdv]iPSe^fiRdv_"£Nu_aJ PQJ^ncRfx_a[^]id£{JMb^fin;l~R|lMu_aNM¯M]ipcL R k ^7 J-J£{RMRHkj _\[^]idQncJ^RdK"p _!Ngf`£{Nu^d£{JMHO¯cj¥NMd!]ip _a[cRZNMdORJ1-Nn^]idKZHOR_\RQ_K]iPQRPQJ^ncRfx]ip;£t[^]iZ\[;£RZNp;[mNR l~J1_\[ _ªu^e~RdoJgtNHKHv]`1NgfidN1_U_a[mRQdONMPQRReJ^Z\[7¤¥[^]id"ZNMp¡l~RQdKJ1f`MRnlMu¡fiR_K_O]ipcL_\[cR!bcpmZJpM_aHKJ1f`fiRn NMHOHw]`1N1fidl~RecNMHv_¥Jg_a[cR-RpC]iHKJpcPSRpM_ jM]/ R1`j ZJMbcpM_ad'_a[mRpCbcP"l~RHIJgbcpcZJMp_\HOJgf`fiRnQNMHOHw]`1N1fid J£ d* {AL* k * $Mj~Npcn7fiR_ | Npcn |j=k lR-]ipcncRe~RpcncRpM_J1 ~jm£¥]`_\[ A |j=k _1 -J1_\R_\[cN1_]`_-/Jgf`fiJ£td¥_a[mN1x _ T j:k j<NMpcn_\[cN1x_ h6 ) O* ¥nmReRpcnmd{JMp^f`uJp 0AL* k PV* 8£t[s]iZa[ ]idUR¬CbcN1f_\J
(65) = ) +* O\j~NdWfiJpcL7NMd_\[cs RZJdw_t/bcs pmZ_O]iJMpcdtncJ^¤¥[^]id-PQNM¯1Rdt_\[cNg_N1f`f's ZJpcns]`_Os ]iJM pcdtLg]`Rp ]ip_\[^]id¥dORZ_K]iJpSNHKRodKN1_K]id 0<Rn ¤¥[cR!fiNMdv_LMRpcRHONgf`]iN1_K]iJp£RQns]idOZbcdKd]id_\[cN1_-_aJLMRpcRHONgf)NMHOHv]`gN1f)dw_aHKRNPSdk¤N¯gR R ; 1j©fiR_ o l~R"_a[mR!_aHKNpmdv]`_O]iJMp ecHKJlmNl^]`f`]`_K]iRdJ1¥dOJMPQRz NHKk ¯1J Za[mN1]ip 2ª¥_a[^]idz NMHO¯gJZ\[cNg]ipnmJ^RdopcJg_ Z\s [cNMpcLRdw_aNg_aR1j~N7ncRecNMHv_abmHORZNMp J^ZZbcHj3Npcn_\[Cbcd o£¥]`_aV[ \ k0d9 9 2ª)_\[cR"z NMHO¯gJZa[cNg]ip Z\[cNMpcLRdÙdv_aNg_aR1jgNMp"NHKHv]`1Ngf^]id)LMRpcRHKN1_\RnoNg_)_\[cRx_aHONMpcw dw]`_O]iJMpo£¥]`_\[!ec HKJlcNMl^]`f`]`_ªu o 88JH TU yoa'¤¥[cR ZJMHOHKRdOe~Jpcns]ipcL!nce Je~RHONg_aJMH]itd \ 9 k ]`_a[¡emHOJMlcNls]`f`]`_ªu o P w o pcJNMHOHw]`1N1f'J^ZZbcHOdj NMpcn7_a[Cbcxd \ ]id_a[cRUpCb^f`fRRpM_ R_¥NLMNg]i,p 8S*/ *k * w $M'¤¥[^]idtHKRdOb^w f`_\dI]ip .
(66).
(67).
(68). h i j=k v +* > m o k o 9 h i v +* MA o 9 k h i v +* MA o h i ) +* : o s w w w. £t[^]iZ\[U]id_a[cRÙ1NgfibcR8bcpcZ_O]iJMpcd~J1^NtZJMpM_O]ipCbcJMbcd3_O]iPQRÙPQJ^ncRfm/dONMPQe^fiRnWN1_RarmeJMpcRpM_O]iNgf`f`un^]idw_aHw]ilcb^_aRn _K]iPQRda©£t[cRHOR_\[cR¥NMHOHv]`gN1fidxNHKRtLMRpcRHONg_aRnlMuQNz NMHO¯1JkQNHKHv]`1Ngf<ecHKJ^ZRdOd{/z XGagX-ececHOJr^]iPSN1_K]iJp HKRdOb^f`_\d©Rars]idw_dO[cJ£¥]ipmL¥_a[cNg__a[^]id_ªu^e~RIJgcNMHOHv]`gN1fCecHOJ^ZRdKd<]idÙncRpcdORÙ]ip_a[cR'dOR_JgcN1f`f^NMHOHw]`1N1fCecHKJ^ZRdOdORd /XdOP"bmdOdORp UJ^J1fiR (`T M+ \7 tZJbmHOdOR1j3_\[cR"z X-G ZJMb^fin Ng_o_\[cR"dONMPQRU_K]iPQR"l~R"bcdORn_\JLMJMRHOp _\[cRncRemNHw_abcHKRtecHOJ^ZRdKdkjCHKRN1f`f`u7L1]`C]ipcL]`_¥_a[cR-]ipM_aRHKecHOR_\N1_K]iJp!JgNMp|RpMC]iHOJMpcPSRp_ ¸³. ·©¸³ 2vp RlRH KC_K]inc[cNMP ( * +)N7Zu^ZfiRJg> & ¬CbcRbcRd{]idZJMpcdv]incRHKRnW¤¥[sbmdZbcdw¦ _\JPSRHOd¥fiRNC]ipcL¬CbcRbmtR 1)yvJg]ip¬CbcRbmR 1lA8£¥]`_\[¡¬CbcRbcR & A ]incRpM_K'] 0<Rn £¥]`_\[¡¬CbcRbcR|T aS¤¥[cR dKRHvC]iZR¥HONg_aRNg_IRNMZa[!¬CbcRbmR¥ZNp!l~R¥ZJMp_\HOJgf`fiRn6 .mbcHv_\[cRHOPSJHKR1j:_\[cRHORNMHORbcpcZJMpM_aHKJ1f`fiRn"RarmJMLRpcJMbcd NMHOHw]`1N1fid"Ng_!RNMZa[ ¬CbcRbcR1«R7PQJ^ncRf'_a[^]id"lMu _aNM¯]ipmL *4 *k #!"!"! +* NMpcn k "!"!"! aj £t[cRHKxR * ; HORecHKRdORpM_adÙN"Zbcdv_\JPSRHfiRNC]ipcL!ZRpM_aR:H 1\jsNpmn ; HORecHKRdORpM_ad NMpQbmpcZJpM_\HOJgf`fiRn!NHKHv]`1Ngf< _\J ZRpM_aRQH 1O-R 03pc R #;>
(69) P3K;)ALK; j:k j~NMpcn
(70) = ) +* 6 } ; r;IK;JAL* ; ; \t¤¥[cRdw_aNg_aRUdOecNMZR]id-ncR 0<pcRn lM7u S*/
(71) = ) +* R$M 2v; p ( * +_a[cR-ZJpM_O]ipCbcJMbcdx_O]iPSRPSJ^ncRf<]id¥dw_abcn^]iRn~jc[cNks]ipmL!N"1NgfibcR-/bcpcZ_K]iJp7Jg_a[cRW/JMHOP.
(72). h i j=k ) +* > m. |j
(73) G h i (ALK; +* A m |; 9<;h i ) +* |! ; s s ; w. ª_¥]idtHKRNns]`f`udORRpS_a[mN1__a[s]id¥Za[cJg]iZRdKN1_K]id 0<Rdx_\[cRZJMpcn^]`_K]iJpcdx8JHKP"b^fiN1_\Rn!]ip_\[^]iddORZ_O]iJMp 2vp_a[mRopcRars_dKRZ_O]iJMp£{RU£¥]`f`f)dKRRU_a[cNg_¥_a[cRHKRdOb^f`_\d¥]ip ( *+NMHORNdKbclcdKR_tJ1)JMbcHKdkW¤¥[cRHORdObsf`_ad ecHKJRp_a[cRHKR{[mJ1fin!NgfidOJ-/JMH)dKRRHKN1fcHKRfiN1_\Rn"PQJ^ncRfidj:f`]i¯gRt_\[cRn^]idOZHKR_aR'_O]iPQRMRHOdw]iJpjJH_\[cR¥PQJ^nmRf £¥]`_\[|NMHOHw]`1Ngfid¥NZZJMHOn^]ipmLo_\J!NMp|z«XGjcNMd¥ncRdOZHw]ilRn]ip7_a[cR-NncP]idOdw]iJp7ZJpM_\HOJgfPQJ^nmRf/ 2. Ð. U6U NV W XYZ.
(74) T. ! #H' H. . ·mµ · ³ ³ -bcH~_a[^]iHKnoRarmNMPQe^fiR©]id_a[cNg_J1^N¥8JHK¯¦`yvJg]ipU¬sbmRbcR1X /JMHO¯M¦`yvJg]ip¬sbmRbcR)ZJMpcdv]idw_ad JgI_ª£JJMHPQJMHOR"emNHKN1f`fiRf¬CbcRbcRd MJMlcdoNMHOHw]`R!Ng__\[cR"dvu^dw_aRP NMZZJMHOn^]ipcL_aJNGJg]idOdOJMp ecHKJ^ZRdOdj NMpcn7Jp7NHKHv]`1Ngf<_\[cRu!e^fiNMZRRarmNMZ_Of`u!JMpcRt_\NdK¯]ip|RNMZ\[Q¬CbcRbcR"8_a[mR¥/JMHO¯"ecHw]iP!]`_K]`R:a'¤NM¯1R 9/ Y1 R_xJe~RHONg_aJMM H 9 k HKRecHORdKRpM__a[cR¥NMHOHw]`1N1f3RRpM_ jCNMpcn!JMe~RHONg_aJMMH 9<;vj t/213/4&¡jC_\[cRncRecNMHv_abmHORxRRpM_ Ng_{¬CbcRbmR 1<PWg)¤¥[mRp
(75) =* bY*k=P * "!#!"!Z O*kbP,* aj£t[cRHOR_\[cR 1F_a[SZJPSeJMpcRpM_)HORemHORdORpM_\d_a[cR pCbcP"l~RHJ1Zbcdw_aJMPQRHKd]ip7_a[cR 1F_a[7¬CbcRbcR1 ¤¥[cR!pCbcP"l~RHtJgIZbcdw_aJMPQRHOd]ip dv_\N1_\4R & ]idUL1]`MRp¡lMWu B ;:&);ªj©]`I£R!NMdOdObmPQRU_a[cNg_t_\[cR"¬CbcRbcRd £JHK¯7]ipQN .62 . PQNMpcpcRHkx¤¥[s]idkj~JMHtNQZJMpMRar/bcpcZ_K]iJp7_\[cRHORJgwjmNHKR]ipM_\RHORdv_K]ipcL"ZJMdv_¥/bmpcZ_O]iJMpcdk 2vp_\[cRpcRars_odKRZ_O]iJMp£R£¥]`f`fIdKRR[cJ£¨_a[mRJMe^_K]iPQNgfÙdKRHvC]iZRHONg_aRNg_RNZ\[ Jg)_\[cR¬sbmRbcRdtZ\[cNpmLRd NMd_a[cR-dv_\N1_\RZ\[cNpmLRdXWfidOJ"_\[cRNMncP!]idKdv]iJMpZJMpM_aHKJ1f~ZNpl~Rdv_\bcn^]iRn ¤¥[^]id)PSJ^ncRfCZNp"l~RILMRpcRHKN1f`]iRnU]ip"1NMHv]iJMbcd£Nu^dkjsdv]iP!]`fiNMHvf`u_\Jt_a[mRIecHKRC]iJbcdÙRarcNMPQesfiRdkjgR1 Lmg_\J NMHOHw]`1N1fidÙNZZJMHOn^]ipmL_aJtNMp"z XG«JH_\JlcNg_aZ\[NHKHv]`1Ngfidk JP"ls]ipcN1_K]iJpmd£¥]`_\[_a[cRxecHKRs]iJMbcdRarmNMPQe^fiRd NMHORUN1fidKJ!e~JdKdv]il^fiR1jsHORdObsf`_O]ipcL8JH¥RarmNMPQe^fiR¥]ipNZumZfiRUJg/JMHO¯M¦¼ywJ1]ip¬CbcRbcRd ! " ! t "x . . . . .. "6&/ 7, 13., 7. oR ZNgf`fN"8bcpcZ_K]iJp'5,Q¦FdObclmPQJ^ncb^fiNMH]`>5= ) +* )A25: ) O*AVK;AV) K ) 3/T5: v +*AVK; )) A25: ) O*xA.K ) 8JH¥Ngf`fM1 U ,cjmNgf`f - 9"j<NMpcn7/JMHN1f`f=*SdObcZ\[7_a[cNg_*3jJ*(A2K ; A2K j)*A2K ; NMpcn7*(A2K 78 R_IbcdN0<HOdw_INMdOdKbcPQRx_a[mN1_>8ST /JMHINgf`f <'¤¥[^]idIPSRNpmd_a[cNg_)RNMZa[RRpM_)]idNgf`£{Nu^dxNZ_K]`R1 .cJM H \ ] 9 ;fe !#j=!"k !> 9 ;fg ncR 0<pcxR \ ]9 > T9 ; !"!"!9 ;fg x¤¥[Cbcd \ ]9 > ZJpmdv]idv_\d)Jg_a[cR (P fiNdw_¥Je~RHONg_aJMHOdJg \v]1'5]`_\[ \ ] £RonmRpcJ1_\R¥_a[mR]incRpM_K]`_ªuMx¤¥[mRpQ£R[cNR-_a[mR8J1f`fiJ£¥]ipmL!HORdKb^f`_ 9 x³
(76) ; ?R; " 1
(77) h ~
(78) G \ ]9 > h i
(79) ! "!# h i 8
(80) C ^
(81) -1·· * RdO[cJ£_\[cN1_"]`UN 8bcpcZ_O]iJMLp 5¢]idSdObclmPQJ^ncb^fiNMH-]ip ) +* /JMH!dOJMPQR 1"Npmn ,z 1 U ,^aj ]`_ecHOJMecNMLNg_aRd_\[c> HOJMbcLM7[ 9 % j/JMHUNp NMHOls]`_aHONMHvu <XdOdKbcP!]ipmL!_a[mN1_ hi]i0d Q¦FdObclmPQJ^ncb^fiNMHkjs]`_U_a[cRp 8J1f`fiJ£tdU_\[cN1_ \ ] 9 h i ]id Q¦FdObmlcPQJ^ncbsfiNH9 FIu pcJ1_K]ipcLS_a[cNg_oZJMpMRar ZJMP"l^]ipcNg_O]iJMpcdtJg{dKbclcPQJ^nmb^fiNH 8bcpcZ_O]iJMpcdNMHORNMLMN1]ipdObmlcPQJ^ncbsfiNHjg]`_t]id_a[cRp7RNMdv]`f`udO[cJ£tp7_\[cN1x_ hiZj=kt]id¥NgfidOJ S¦) FdObclcPSJ^ncb^fiNMHk ¤¥[Cbcdkj3£RNdKdObcPSRt_a[mN1_/ncHOJMece^]ipcL 7]ip_\[cRopmJ1_\N1_K]iJp<Q 5=* MAL5:I*SALK ; ALK /@5=*ALK ; =A 5=*=AK ) xz 1x U ,^a©R[cNMR_aJ-dO[cJ£;_\[cNg=_ 9 % 5:I*R ZA9 % 5=*=A'K ;#AK ) 3/ 9 % 5:I*:AK; A89 % 5:I*:AK ) aj £t[^]`fiRWRRpM_ ]idNZ_K]`R]ip7N1f`f *dw_aNg_aRdk Jg)_aR 0<HKdv_'_a[cNg3_ ? % ]iddObmlcPQJ^ncbsfiNHRpcJg_aRx£¥]`_\[ R=k R _\[cRP!]ip^]iP]i]ipcCL R /JMHtdOZJMHO0R *SATK ; I *(ALK a-X-dOdObmPQRt_\[cNgH_ R:k/)R 8_a[mRoJg_a[cRH¥ZNMdORU]id-dv]iP!]`fiNMH lMudvu^PQPSR_aHvuc\ .]iHOdw_tZJpmdv]incRHx_a[mRZNMdOx R 1( U < -J1_\R¥_a[cNg_ . .
(82). .
(83). . . ". !. . .
(84). $#.
(85). 9 % =5 * MAV9 % 5:I*(A2K ; 2 A K ) 3/ ? % * vA S % R:k" MA R:k 5:I*xALK % vA+3PR:k +5:I*R +A ? % I*(A2K ; A2K ) MA S % R MA R :5 I*xALK ; ALK ) A2K % MANOP R O5=*(A2K ; A2K ) |!. 6U.
(86) Tk.
(87) "!# . ^bmPQP!]ipmL K. NMpcn. ? % * vAL? % *xA2K ; A2K ) Q/ ? % I*(A2K ; MAL? % I*(A2K ) | S % R=k# MA/S % R Q/:S % R=k <A S % R | R=k5:I*(A2K % MA R=k5=*xALK ; A K ) A2K % Q/ R:k5=*(A2K ; ALK % MA R=k5:I*(A2K ) A2K % | R P R:k +5:I*xALK ) AN R P R:k +5:I*(A2K ; ALK ) ALK % / R P R:k O5=*xA2K ; A2K ) MAN R P R:k +5:I*xA2K ) A2K % |. #*C ªM. +P R k O5=* )A+QP R k +5:I*xA2K;)A2K ) 3/@OP R k O5=*A2K; MAN+P R k +5:I*(A2K ) . FC. Lg]`Rd 9 % 5:I*R MAV9 % 5=*(A2K ; A2K ) Q/ -J1_\Rt_a[mN1_oªMxncJ^RdOp _{[cJgfin7]`b1> < 2ªb 1b 3jc£RUdv_aNMHv_£¥]`_\[. 9 % 5=*A2K ; <A29 % 5=*(A2K ) !. 9<; 5=* <AV9v; 5:I*(A2K; ALK ) 3/T? ; * MA S";+ R MA R 5:I*(A2K; vAOQPDR O 5=* OA ? ; *xALK; A K ) MA S"; R k A R k 5=*(ALZK;)A2K ) MANOP R k O5=*xALK ; ALK ) |!. ¤¥[cR-]ipcR¬CbcNgf`]`_ªu8J1f`fiJk£td¥Nd_\[cRoemHORC]iJbmd{JMpcRW]`£{RUHOResfiNZR"#*C ~FC)lMu . NMpcn. R=k5:I*(A2K. ; A R=k5=*(A ZK ; A2K ) 3/ R=k5:I*xA ZK ; vA R=k5:I*(A2K ; ALK ) . OQPDR O5=* vANOQPDR O5=*xA2K ; A2K ) Q/OQPDR O5=*xA2K ; vAOQPDR O5=*xA2K ) |! _aHKbcR .cbcHw_a[cRH'LRpcRHKN1f`]`_ªu!ZNMp!l~RtJMl^_aNg]ipcRn"lMu!fiR_O_K]ipcL9R ; NMpcn S#; nmReRpcn"JMp!_\[cRtRpMC]iHOJMpcPQRpM_. X-d_a[^]id¥NMncncdPQRHKRf`u!_aJ_a[cR-pcJ1_\N1_K]iJp~jC£R£¥]`f`fpcJg_¥ncJ"_\[^]idk .cHOJMPfiRPSPQN!^iT_\[cRUPQJMpcJ1_\Jps]iZ]`_ªuJg_a[cRJMe^_O]iPSN1fe~J1f`]iZuZNMplRncRHw]`Rn" -J1_\Rt_\[cN1_W£{R bcdKR]ipmZHORNMdv]ipcLNMpcnncRZHORNMdv]ipcLU]ip_\[cRpcJMp^¦Fdv_\Hv]iZ_dORpcdKRt_a[mHOJMbcL[mJb^_x_a[mRecNMeRHß. > H " !"E
(88) E 1! ? ; 5 1
(89) h ~
(90) ³C·c1³. . . @"! " . -1··. ! * " 1x U 1 ! ! 8! L %. . 9 ; 5= ) +* ZNp7l~RHOR£tHw]`_O_\RpQNMd ? ; ) O* vA B8CED 8 S ; R= MA R 5: ) O*A2K ; bP25= ) +* O $>A 5= ) +* |! F G HJFRH F G 2ªb57]idQQ¦FdObmlcPQJ^ncbsfiNHjg_a[cRp'5= ) +*AK ; AK ) <P 5= ) +*3A.K ) 3/T5: v +*QAWK ; <P 5= ) +*R \3.mHOJMP _\[^]id _\[cRHKRdOb^f`_¥8J1f`fiJ£td¥RNMdv]`f`u1 ¤¥[cRNl~JMRo¤¥[cRJMHORPdK[cJbsfin|l~RUbcpcncRHKdv_aJ^J^nNd¥8J1f`fiJk£td P¥ZJMpcdw]incRHdOJMPQRPSNZHKJ1¦Fdv_\NLMR^QNMpcn P]iZHOJg¦§dw_aNMLR <Ù¤¥[cRHORRars]idv_\dNpJe^_K]iPQNgfse~Jgf`]iZuNMZZJMHOn^]ipcL{_aJt£t[s]iZa[_a[cRNM) Z_O]iJMpGR ) % ; ] > ) +*Rx FdORR ncR03p^]`_O]iJMpcd]ip;K^bmlcdORZ_K]iJps C]idtbmdORnNg_dv_\N1) _\R8 ) +*¥ NMpcn_a[cRUNMZ) _O]iJMp R % ; ] > ) +*S9 ALK; ]id-bcdORn Ng_tdv_\N1_\R{ ) +*(ALK;x £t[cRHKRx1x U ,) ) ^ a j^NMpcn R % ; ] > v +*(A2K ;
(91) R % ; ] > ) O9 *\ ". $#. 9. Ð. U6U NV W XYZ. 9.
(92) T*. ! #H' H. . %'"6" X-d]`_Qdv_\NpcnmdkjÙ_a[cR7HORdKb^f`_]id!pcJg_"RHwu bcdKR/b^f/ .cJH"RarmNMPQe^fiR1jÙ]ip_\[cRNMncP]idOdv]iJMp ZJpM_aHKJ1fPQJ^nmRf ]`_£Jb^fin N1f`fiJk£ /JMH-_a[cR"ncRemNHw_abcHKRRMRpM_Ngf`£{NkumdU_\J|l~R"NMZ_O]`R1j£t[^]iZ\[ZJMb^fin HKRdOb^f`_-]ippcRLMNg_O]`R ¬CbcRbcRUfiRpcLg_a[mdkU¤J7ecHORMRp_W_a[^]idj~£{RpcRRn_a[cR _aJ7lRecHKJe~RH¥dObclmdOR_adWJ1l xjNpcn|_aJQdK[cJ£ _\[cN1_S¦§dKbclcPSJ^ncb^fiNMHv]`_ªu!dv_K]`f`fecHOJMecNMLNg_aRd X dw]iPQe^fiRU£Nu_aJSncRN1f£¥]`_\[_a[^]idWecHOJMl^fiRP]idURar^_\Rpcn^]ipc8L _a8J lMu|_\N¯M]ipcXL ? v +* Q ]` *L LU jNMpcn«_a[cRp NMece^f`uC]ipcL7fiRPSPQNQ^iTgQ .mJHU_a[s]id_\JuC]iRfin 0<p^]`_aRZJdw_adt£RQ[mNR"_\JNdKdObcPSR _\[cN1_UpcJMp^¦§e~RHOPSNpmRp_tRMRpM_adQ8]/ R1`jÙRRpM_ad-/JMH-£t[^]iZa[ _a[mRHOR"NMHO,R v +* -Npcn 1dObmZa[«_a[cNgS_ *4 NMpc7n *(ALK ; ,U 1NMHORUZJpM_\HOJgf`fiNl^fiRW_aJ M8]/ R1`j R ; Cat/¤¥[cRdORW_aRHKPQdZJPSRt8HOJMP (`Tk +NMpcn ( * +/j HKRdOe~RZ_O]`Rf`u1ߨ¤¥[s]id"RpcdObcHKRdU_a[cNg__a[cRSZJpM_aHKJ1fxZNpl~RQdKbcZa[ _\[cN1_]ip03p^]`_aR7ZJdw_addv_\N1_\RdoZNMplR NMJ1]inmRnj3]/ R1`j3_a[cRUJMe^_O]iPSN1f~NZ_K]iJp7/JMH¥nceJMeRHKN1_\JlH 9 ; ]ip ) +* x£¥]`_a[ *(A K ; U 8£¥]`f`fl5R RW@ NMSd hi< ) O*0A K ; Q R"NMdOdKbcPQR-_a[cNgx_ Y^ß Jg_aRU_\[cN1_tZJMpM_aHKJ1f`f`]ipcLS_a[mRNMZ_O]`MRRRpM_ 1tNg_ M7]idUR¬Cb^]`1NgfiRp_U_a J 1l~R]ipcL7pcJpmNZ_K]`R1j3]`£{RNdKdObcPSRo_\[cNgG_ S ; I _^!¤¥[mR!ZJpmn^]`_O]iJMp_a[cNg_ @ o ]` o 7RpcdKbcHORdx_a[mN1_¥]ip 03p^]`_aRZJMdv_ad¥NMHORUNMJ1]incRnnmbcRU_aJQNSZa[mNpcLMRUJ1)dw_aNg_aRW]ip_a[cR RpMC]iHOJMpcPQRpM_s .cbcHw_a[cRHKPQJMHOR1jC£R"NMdOdObmPQR-_a[cNg_¥]`wj~8JHWdOJMPQ R ~<j *SALK ; NMpcn *SA K .j3_\[cRpdOJSNHKR *|NMpcn *tA K ; A K ¡F¤¥[^]id-]id"ZNgf`fiRn¡ZJMPQecNg_O]il^fiR]i7 p ( *M +/j'e MMmߤ¥[^]idU]ipcdObcHKRdt_\[cN1_U]`x ? NpcVn h ~ NMHOR dKbclcPQJ^nmb^fiNH-JVp j'_\[cRp¡dKJ_a[mRu¡NHKRQJMWp WWZJMbcHKdOR1j©_a[^]idNMdOdObmPQRd-_a[cNg_ S ; 0 /JMH Ngf`fIpcJMp^¦FeRHKPQNMpcRpM_ 18_\[^]idUZJpcns]`_O]iJMp]id/JMHOLMJ1_K_aRp7]i7p (`T + a 2vp /NMZ_ j_a[cR"NMlJkRQZJMpcn^]`_K]iJp«ZNp l~R"dv]iPSe^f`'] 0<RnjNMdNMHOLMbcRn]ip«_a[cRJMHORP CßQJg> (`T8 + PU/JMHNgf`f ) +* tdKbcZa[|_a[cNgS_ * Vj£{RNdKdObcPSR _\[cN1_W]`3 *ALK; +*{ATK W j~_\[cRp *SATK;<ATK W ¤¥[^]id-]idUR¬sbs]`1N1fiRpM_-_aJQdKNuC]ipcL7_a[cNg(_ ]id ZfiJMdORnbcpmncRHtPQN:rs]iP!]iNg_O]iJMp 2vp (`Tk, +]`_-]idodK[cJ£tp_\[cN1_W_a[^]id-PQN:r^¦FZfiJMdObcHKRo]id-R¬Cb^]`1NgfiRp_-_aJ7lJg_a[ e~RHOP"b^_\Nls]`f`]`_ªu!Npcn7pcJMp^¦8]ip_\RHOHKbce^_O]iJMpÙXp7RRpMQ_ 1I]id¥ZNgf`fiRn7pcJps¦/]ipM_aRHKHObces_O]`R{]`]ipZNdKRtRRpM_aQd 1 NMpcn SNHKRoNMZ_O]`MRt]ip& - jm_a[s]id]iPQe^f`]iRd_\[cN1_Q1']idtN1fidKJ!NMZ_O]`R-]ip*&tALK 7 jm8JH¥Ngf`f U 1\ dw]ipcL"_a[mRJHKRP ^ßsjm£RoNMHOHw]`RUN1_¥_\[cRt8J1f`fiJ£¥]ipmLm ·m1· !8^:´ !. . C ?; 1
(93) h ~
(94) !! H E " " Q#
(95) S"; b@ ! !"! !C 88E
(96) Q
(97) ! C!8 , ! @"! " 1 ! ! 8! L! * " 1 U tÌ_aRDp S#;{]idZJMpcZNMR« ]ip¡ecNMHv_K]iZb^fiNHjf`]ipcRNMHaW/JMHdOJMPQR"RMRp_ 1O 2ª_]id"HORNMn^]`f`u dKRRp _a[mN1_U_a[cR JMe^_O]iPSN1f3ZJpM_aHKJ1fm]ipQ_\[^]idZNdKR¥]idR]`_a[cR1H R ; JH R ; '¤¥[^]idx_ªu^e~RJg©ZJMpM_aHOJgf/jC£t[mRHORtJMp^f`u!_\[cRtRars_aHKRPQNgf 1NgfibcRd¥Jg_a[cR-ZJpM_\HOJgf<]ipM_aRHw1N1fNMHORUbcdORnj]idtdOJMPQR_K]iPQRd'ZN1f`fiRnlcNMpcLg¦§lcNMpcLZJMp_\HOJgf/ Ù / ³ Km ¸ / 8· · <1· ¢·¸³
(98) K· < ³s¸ %R!NMece^f`u_a[mR"HORdObsf`_adtJMl^_aNg]ipcRndKJ 8NHU_aJ|_a[cR!NMncP]idOdv]iJMp ZJpM_aHKJ1fxPQJ^ncRf/¤J ncJ_\[^]idkjÙ£RQ_\N¯gR R |_aJNMdOdObmHOR"_\[cN1__\[^]idpcJps¦ e~RHOPSNpcRpM_RRpM_]id'ZJpM_\HOJgf`fiNl^fiRx_\>J M^6 2ª_']id)HORNMn^]`f`u"dORRpU_\[cN1_'lJg_a[RRpM_\dNHKRpcJps¦/]ipM_aRHKHObces_O]`R1 ¤¥[cRHKR/JMHORNgf`f_\[cN1_']idpcRRncRn"_\JemHOJMR¥_a[cRWdObclcPSJ^ncb^fiNMHv]`_ªuJ1= hi]idI_\[cRtdKbclcPQJ^nmb^fiNHw]`_ª uJg= ?NMpcn h~1©R¥[mN R
(99) =* >
(100) :I* A8K k AK \jg_a[^]idÙPQRNMpcd_a[cNg_[cNC]ipcLW_a[cRxn^]iHKRZ_dvu^dv_\RP¨ZJdw_ad ?"ZJMpMRar]id N!dKb QZ]iRpM_¥ZJpmn^]`_O]iJMp!8JHx_a[mRRars]idv_\RpcZRtJgÙNMpJes_O]iPQNgfc_\[cHORdK[cJ1finSeJgf`]iZu1t -J1_\R_a[cNg__a[cRtns]iHORZ_ .. . . . . . ). ). ). ). ). ,. . . . . . . . !. . . . . ) . . . . . . . . ,. ,. . 6U.
(101) T.
Documents relatifs
Mais elle y occupait une place modeste : il faudra la liberté et le goût de la transgression du roman en langue vulgaire pour que la situation soit renversée :
Les thèmes majeurs (tab.5.4) abordés par les îliens interrogés sont, pour la grande majorité, les mêmes sur toutes les îles : ils concernent les usages anciens
Chez l’Homme, les segments de gène V H ont été classés en sept familles (la famille 7 n’est pas représentée ici car aucun segment fonctionnel n’y a été décrit) qui ont
Le Négus consacra une énergie considérable en vue de gagner cet appui international, mais, malgré la force de son discours prononcé en juin 1936 devant ses pairs à la tribune de la
In this paper, we propose a novel approach based on the barycentric coordinates of automatically tracked 2D facial landmarks from videos to objectively evaluate the facial
Dirk Obbink (dir.), Doctrine and Doxography. Studies on Heraclitus and Pythagoras, Berlin / Boston, De Gruyter, 2013, p.. et le logos auquel les hommes devraient accorder
Les exorcismes ne sont pas publics, les sœurs noires elles-mêmes sont tenues le plus possible à l’écart, et c’est chaque fois Jeanne qui force les choses pour que, finalement,
Toute- fois, d’autres marqueurs des cellules POMC tels que NeuroD1 n’ont pas été induits dans cette expérience, ce qui indique que Tpit suffit in vivo pour provoquer la