Bisimulation for higher-order process calculi
43
0
0
Texte intégral
(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. Bisimulation for higher-order process calculi Davide Sangiorgi. N˚ RR-2508 April 1995. PROGRAMME 2 Calcul symbolique, programmation et ge´nie logiciel. ISSN 0249-6399. apport de recherche. 1995.
(3)
(4)
(5) !"$# %'& $)(* % +(*
(6) , (% - .0/2143576.98:914;=<:91 >@?BADCE?GFHIHIJK,LNMOFPRQSTP2UWV0H"X9AEPZYR[DSTJE\^]_?`AECD?`FEHHaFbBYZAEc)Jb*C$Jd c_YeJfPZAECDYZQYeJP >@?BAEghJb%i jlkWmDj n F]_]9AE?Bb o^Jf?BJpQGq_J?GQGq_JrcsEn%nuthKEvEwEx,Lzy%]T?BYZP${|D|Dv}Lz~E|]TFCDJU _EEy^WBE%9BGG`E_0}YZUFaQFPRQSTPeSTU*AE?%QADHIH"S_c_YRQFbBYZc_C UBV0UWbBJHaU*¡*q_YRQGq QAEcb`FEYec!UqTYeCDq_J?Bt¢AD?`o_J?QAEcTUWbB?`STQb`UPeYZ£EJ QADHIH"S_c_YRQFbBYZAEc¤A b`J?`HaU¥¤¦7J Fc!FPZV0UBJ b`q_J c_AEbBYZAEc§AE ³¨ Y4R¥ JEª¥Z©\l_b`q_eJ´«4¬AEc_®JYec¯AE?)b`q_M*JUBMuJ µ¤QFEFPZcTQo§S_PZY4?B¥ JPZ¦°FbBJJ)o¤F?`QCEFES_PZQJIS_Peb`YqT¶GF\·bFEUX!AE¡·bBJq±PeP*bBqTFDJ)U UhbGF^cToTFW?Go°BEo_J ²Tc_¨ RYebBªYZ©AEc¯_AE*«4¬X_¹YZUBYZH"¸ y%S_ºfPRFn%b`YexDADx_c \ »OADSTxE|0\T¼uqTAD|Ew½¾F?`JYZc CEJc_J?GFP=S_cTU`Fb`YZUW¬FEQbBAD?BVD\X9JQFSTUBJfA¿EJ?WtÀo^YRUBQ?BYZHIYecTFbBYZc_CT¥ ¦°J}]_?`AE]9ADUBJfFEcTo Uhb`STo^V)FIcTJ¡ÁAE?`HÂAX_YRUWYZH"S_PRFb`YeADc)AD?%UWS!QGq QFPRQS_PZY¢\_QFPZPZJo±`!«ÃBÄ« ¨ Rª© _e«4¬T\O¡*q_YRQGq¤V0YZJPRo_UaF°HIAE?`J´U`Fb`YZUW¬FEQbBAE?`VÅo^YRUBQ?BYZHIYec!FcbBYZc_C°]!A¡OJ?p¥®yÆo^?GFÇ¡*XTFDQG£°AEQAEcbBJÈb XTYZUBYeHS_PRFbBYZAEc7YZUb`q_JIq_JFÇ¿0V STUBJA·STc_Ye¿DJ?GUBFEP[STFEcbBYe²!QFbBYZAEcÉYZc°YbGU}o^J²TcTYb`YeADc2¥yÊHaFghAD?fCEADFEP AE b`q_J}]TFE]!J?*YZUOb`AI²TcTo QGqTF?GFEQbBJ?BYRUBFbBYZAEcTU@¡*q_YRQGq´HaFE£EJfX_YRUWYZHIYePRF?`Yb`YeJpUuJFDUWYZJ?ObBAa¿DJ?`YVD¥ y cYZHI]!AD?WbGFcb$?BADPeJuYZcIAES_?bBqTJAE?`V,YRU]_PRFÇVEJoX0V}bBqTJlËE«¢RE«¬¬ «^`B©Ì ¦q_JcaQADHI]TF?`YecTC b`q_J,X9JqTFÇ¿0YZAES_?*AE bh¡OAa]_?`A^QJU`UBJU\^YbFEPePZA¡%UuSTU%bBA¯ÍWYRUBAEPRFbBJpÎIUWS_X=QADHI]!ADc_Jcb`U%¡*q_YZQGq HIYZCEqbQFESTUBJ o_YÏ=J?`JcTQJU\_UWAb`qTFb*b`q_J,FcTFEPeV^UBYZUuQFc´X!J,QAEcTQJcbB?GFb`JoAEcbBq_JH´¥ Ð ÑÒ=Ó`Ô"ÕTÖE¤»·YRUBYeHS_PZFbBYZAEc2\^qTYeCDq_J?Bt¢AD?`o_J?O]_?BA^QJU`UOQFPRQS_PZY ¬× Ø"ÚWÙ Û¢ÜpÝ Ú Ù ÞßZÛÃàÃáâ îGðDî ñ4äÇãåéGê ïÇäÇí æç =èéGïÇéG"èíêWîîGëëð_æèçæïéGéuë4ñ¾ë¢=êÀîGìîð_æïpç¢ñ4ðeêhäÇêhífêlë¢êhìé ï êhphë¢ñ4ê ç4äÇæîîîïëïfç TëîGð9!ä¢î ñ4äÇë¢ê@é ñ¢èäpéG*êWèç4æêWæïç ë·òå=ó Ûîó ï ÝOhêhÜpèpô õGñ4ßçBóZþ öGf÷Iêhóeñ4÷"äÇîøíÇóùçåø éGÚWïÇúÀûí ö ú¢åüé Úhúáú æDBö ÿ ý ÚhÛÃÛ ý õô ý Üpô ó9þ^ÿã !ë4î h¢êhþ êhíÇîæï ë4ñ4ä ç ã2äpæç =îë %äéGç Eêhêhïfç ÇèÇèîë4ñ4êhí ñ4äÇê ã !ë4î ¬ê Àñ . *.
(7) . . . . . +(. !1. . 2. 3. . . . ,% - /.. 4365. . . . . . . ,0. 7#98 ! ;:< =>. . !!"$# "% &'( ). ? @ -A'CBD'!")E # 0. 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. .
(8)
(9) &° (*
(10) , (% # & $ (* % +#W"$# $ & % l Ñ0 Ñ®
(11) c Ge_lDf!`G`0 BBaÇ ¬^ÂJpUhb}S_c±QFEPZQS_P]!ADS_?}o^JU}UBV^UhbJ HIJpUo^J QAEHIH"STc_YZQFb`YeADcÅ[DSTY·QADcbBYZJcbo^JpU,AD]OJd ?GFb`JS_?GU}o AE?Go^?`J UWS_]uJd ?`YeJS_?"QAEHIHIJ)QADHHS_c_YRQFbBYZAEcTUo^JU b`J?`HIJU ¥ AESTUIFc!FPZV0UBAEc!U,PRFÉc_AEbBYZAEc§o_J ³ ¨ Rª©_E«¬¬ ]9AES_?aQJpUQFPRQS_PRU¥ AESTU?`JbBJc_AEc!U[S_J´PZF oOJd ²TcTYb`YeADc¤UWb`Fc!o_F?Go§o^J X_YRUBYeHS_PZFbBYZAEc Qt F tÀoå\$QJPePZJ ]!ADS_?)M*MuµÅJbaPeJpUQFPRQS_PRUaU V¯?GF]_]9AE?Bb`FEcb¶G\ FEYec!UWY*[S_J QJPZPZJ´o^J°^WBE ¨ Rª©_«4¬¹¸ y%ºfn%xDx^\l»OAESTxD|0\l¼uq_AD|Dwp½ UWADcbJc§CEJc_J?GFPOc_ADc U`Fb`YZUW¬FYRU`FcbBJpU\^QFE?ObB?`AE] o^YRUBQ?BYZHIYecTFEcbBJU¥ AESTU)]_?BAD]!AUWADcTUIJb Jd bBS!o^YeADcTUaS_cTJ c_AEST¿EJPZPZJ AE?`HJ o_J X_YRUWYZH"S_PRFb`YeADc ]!ADS_?)o^J b`JPRU QFEPZQS_PRU\ FE]_]9JPJd J7G!«ÃBÄ« ¨ RGª©_E«¬¬T\l[S_YuAÏ=?BJS_c§]9AEST¿EAEYZ?Io^J´o_YZU`Q?`YeHIYZcTFb`YeADcÅ]_PZSTUIUBFbBYRUh¬FEYZU`Fcbp¥
(12) %c YZcTQAEc0¿@Jd c_YZJcb FI PZFaQAEcbBJÈ0b%X_YZUBYZH"S_PRFb`YeADc´JpUhb%P S^bBYZPeYRU`FbBYZAEc HaFEU`UBYe¿DJfo_J"[STFcbBYe²!QFbBYZAEc´S_c_YZ¿EJ?`UBJPZPZJ oTFcTU}U`F o·Jd ²!c_Yb`YeADc2 ¥ ADX^ghJQbf]T?BYZcTQYZ]TFEP@o^J QJb"F?BbBYRQPZJIJUWb"o^JIbB?`AES_¿DJ?}o^JpU,QFE?`FDQb_Jd ?`YZU`Fb`YeADcTU [S_Y ¬FDQYZPeYebBJcb%PZF¿@Jd ?`Ye²!QFbBYZAEc)o^JpU*X_YRUWYZH"STPZFbBYZAEcTU¥ ¾JÉ« ! ©a EËE«¢R«4¬ ghAES_JaS_c¯#? AE" PZJIYeHI]9AE?Bb`FEcDb"oTFcTU}cTAbB?`JIbBquJd AD?BYZJE¥ ¾AE?GUB[S_JIP ADc QAEHI]TFE?BJ*PZJ QADHI]!AD?Wb`JHIJcb·o^Jo^JS_È]_?`A^QJpUBUBSTU\EYZPT]9J?`HJbOo ÍWYRUBAEPZJ?GÎo_JU@UBAES!UhtÀQADH]9ADU`U`Fcb`U$[S_Y ]9JST¿EJcb*]_?`A¿EA^[S_J?*o^JpU*o^YeÏ Jd ?BJcTQJp%U $0P FEcTFPZV^UWJf]9JS^b o_AEcTQ}UBJ}QAEc!QJcb`?BJ?uUBS_?*JS^Èå¥ & ÕTpÓG( '#ѱ §»OYRUWYZH"STPZFbBYZAEc2\_QFPRQS_PRU*o^J}]_?`A^QJU`UBSTUuo AD?`o_?BJ}UBS_]uJd ?BYZJS_?.
(13) $)# (O n%JQJcbBPZVE\u¿F?`YeADSTU ]_?`A^QJpUBUQFPRQSTPeYqTFÇ¿EJ7X!JJcÁ]_?BAD]!AUWJpo ¡*q_YRQGq FPZPeA¡ S!U b`A¤o^JpUBQ?BYZX!J7HIAEX_YZPeJ UBV^Uhb`JHaU\2Y4¥ JE¥ QAEc!QS_?`?BJcbfUBV^Uhb`JHaUf¡*q_ADUBJ QADHIH"S_c_YRQFbBYZAEc7bBAD]!ADPeADCEV HaFÇVÉQGqTFEc_CEJao^V0cTFEHYRQFEPePZVE¥ ¦°J QFEc°QFb`JCEAD?BYRUBJ"b`q_JUBJ QFEPZQS_PeY$YZcbBA lG«4WBD Ge_ PZYe£DJ=tÃQFPRQS_PZSTUa¸ i >l¦ |Kp½¢\¾Yec°¡*q_YRQGq ADc_PZVÅ9©I ³ Y¢¥ JD¥e\¾]!AD?WbGU\åAD?fQGq!Fc_c_JPZU¶QFEcÉX9J QAEHIHS_c_YRQFb`Joå\2FEcTo§D0WBDGE_ PZYe£DJ M }Muµ´¸ ¼uq_A|EwǽÃ
(14) \ !tÃQFPRQS_PZSTUu¸ »·ADSTxE|½¢ \ YeCDq_J?Bt ?`o^J? =tÀQFEPZQS_PZSTU*¸ µ_FcT|Kp½¢\EYecI¡*q_YRQGq 9« ³ Y¢¥ JD¥e\ b`J?`HaU@AE9b`q_J PRFcTCESTFECEJǶQFcaX9JQAEHIH"S_cTYZQFbBJpoå¥ %YZCEq_J?WtÃAE?Go^J?lQFPRQS_PZY!FE?BJ%AE?`HIFEPePZVQPeAUWJ?lb`A}bBq_J tÀQFPRQSTPeSTU\2¡*q_AUWJIXTFDUWYRQaQADHI]_S^b`FbBYZAEcTFEPlUhb`J]7 L åtÃ?`Jo^STQbBYZAEc7L YZc0¿EAEPZ¿EJpUbBJ?`H'YZcTUWb`FEcDb`YZFbBYZAEc2¥ ¼uqTYZU*]!F]9J?*?`J]9AE?Bb`UuAEST?uUWbBS!o^V)AE b`q_J}c_Ab`YeADcAE ¨ Rª©_e«4¬ÉYZc q_YZCEq_J?WtÃAE?Go^J?uQFEPZQS_PZY4¥ »OYRUWYZH"STPZFbBYZAEc®¡OFDUIAE?`YeCDYecTFEPePZV¯YZcDb`?BA^o^S!QJo®X0V¤i YZPZc_J?)FEcTo >$F?`£ ¸ i YZPZxDw^\@>$FE?`xT{B½ AE?´M*Muµt PZYZ£EJIPZFEc_CES!FCEJpU\9YZc7¡*q_YRQGq°HADX_YZPeYebhV YRUcTAb}JÈ^]_PZYZQYb`PeVÉ]_?BJpUWJcb\2Fc!oÉUBYecTQJbBq_Jc7Yeb,qTFEUX9JQAEHIJaF STcTo_FHIJcDbGFP$QADcTQJ]^bfYecÉbBq_JbBq_JAE?`V A·QAEcTQS_?B?`Jc!QVE¥9kÀcÉHIADX_YePZYebhVDt¢?`JJ"PRFcTCESTFECEJU X_YRUWYZH"S_PRFb`YeADc YRU o_J²Tc_Jpo AEc b`AE] AE@FIPZFEX!JPeJpo bB?GFcTUBYebBYZAEc UWV^UWbBJH´\!¡*q_YRQGqÉo^JU`Q?`YZX!JpUubBq_JAE]9J?GFb`YeADcTFP2X9Jq!FÇ¿YZAEST? AE]T?BA^QJpUBUBJU\^X0V)YZHI]!AUWYZc_CIbBqTJ}AEPZPeA¡*YZc_CaQYZ?GQS_PRF?*?`J[S_YZ?BJHIJcbÌ_¼u¡OAa]_?`A0QJU`UWJpUuF?`J ¨ Rª©*Ye FEc0V FEQb`YeADc)X0VaAEcTJAE¾bBqTJHQFc)X9JHIFb`QGq_Jpo)X0V FEc)J[STFEPåFEQb`YeADc ?`AEHb`q_JfAbBqTJ?uYec´UWS!QGq´F¡OFÇV b`qTFbbBqTJ"?`JUBS_Pb`YecTC)o^J?`YZ¿ÇFbBYZ¿EJpU F?`J"FECDFYZc X_YRUWYZHIYePRF?p!¥ %Ab`J,b`qTFbbh¡·A HaFb`QGq_YZc_CFDQb`YeADcTU%HSTUhbX!J UBV0cb`FEQbBYRQFEPePZV§¬D9«¬¬G ¥¼uq_YRU,QAEcTo^YebBYZAEc±YRU,CDJc_J?`FEPePZV bBA0A UWbB?`AEc_C YZcÅQFEPZQS_PeY@¡*Yb`q¯HADX_YZPeYebhVE¥ _AE? YZcTUWb`FEcTQJD\TYZc cTFHIJt¢]TFDUBUBYZc_C QFEPZQS_PeY Ybfo^A0JU c_Ab?BJpUW]9JQbFPZ]_qTFtÃQAEc0¿EJ?`UBYeADc)ADc cTFHIJU¸ i >l¦ |DKǽ¢¥ »OS^b YZc q_YZCEq_J?WtÃAE?Go^J?IQFEPZQS_PZYubBq_J o_FEHaFCEJ´CEA0JpUI¡·JPeP*X9JVDAEcTo FPZ]_qTFtÃQAEc0¿EJ?`UBYZAEc2¥ ¦7J YZPePZSTUWbB?GFb`J b`q_Jf£0YecTo)A]_?BADX_PZJHaU@¡*qTYZQGq´F?`YZUBJS!UWYZc_C,b`q_J}UWYZHI]_PZJ]T?BA^QJpUBUWtÃ]TFEU`UWYZc_C,QFPRQS_PZSTUuo^JU`Q?`YZX!Jpo X0VIbBq_J ADPePZA¡*YZc_CICE?GFHIHaF? ³ ?`AES_CDq_PeVD\0bBq_J}PRFcTCESTFECEJ¡·J}UBqTFPZPåSTUBJ}Yec´bBqTJ}]TF]9J?¶GÌ ¹ÌZÌ !"$#% '³ & ¶ #( )# "$#(*+ # & #-,. #%/ ¼uqTYZUlQFPRQS_PZSTU$YRUlUBYeHIYZPZFE?bBA,¼uq_ADHaUWJc U@>lPRFYZcaM }Muµ¸ ¼uq_A|E~ǽÃ\EFc!oYRUlF}UBJQAEcTo0tÃAE?Go^J?¾?GFCDHJcb AEåbBq_0J %YZCEq_J?Wt ?`o_J ? =tÀQFPRQSTPeSTU¸ µ_FcT|Kp½¢¥DkÀc^AE?`HaFPZPeVD\E]_?`A^QJpUBU 1 ! " QFca]9J?BAE?`HFcaAES_bB]_S^b FDQb`YeADcÅF+b 7JHIYbBbBYZc_2C FEcTo°bBq_JcÅQADcDb`Yec0S_JpU,FE+U " ¥ >@?BA^QJpUB3U '³ & ¶ QFEc¯?BJpQJYe¿DJIF ]_?BA^QJU`U F0b 9\!U`FÇ5V 4I\9FcTo´b`q_Jc QAEcbBYZc0S_JU FE6U 8794+: &<; ¥_µ0V0H"X9AEP & ?BJ]_?BJpUWJcb`U*Fa]_?`A^QJpUBU*¿FE?BYRFX_PZJE=\ #,YZU ]!F?GFPZPeJPQAEHI]9ADUBYb`YeADc7Fc!>o /7YZUfYZcTFDQbBYZAEc¾¥=yÊ?`J]_PZYRQFb`YeAD?c ,.+UhbGFcTo_U\=Yecb`S_Yb`Ye¿DJPZVE\9AE?}FEc7YZc^²Tc_YebBJ c0S_HX!J?AE·QAD]_YZJUA@ YZc ]TFE?`FEPePZJP¢¥ YZcTFPZPZVEA\ *BYZU bBqTJ?`JUWbB?`YZQbBYZAEc AD]!J?`FbBAE?p\T¡*qTYZQGq°o^JQPZFE?BJpU FEUuFc_J¡ÁcTFHIJD\To^YeÏ9J?BJcDbu?`AEHFEPePåAEbBq_J?*cTFHIJpU¥_n*JpUhb`?BYRQb`YeADcYRU*FIUhbGFb`YZQX_YZcTo^J?\_FDUObBq_DJ C ^AE b`q_J tÃQFPRQS_PZSTU¥_¦7J,UBqTFEPeP2FEX_X_?`J¿0YZFbBJAES^b`]_S^bFEcToYec_]TS^b ]_?`J²_È^JpU*FEU E ÊFcTFo I\^?BJpUW]9JQbBYZ¿EJPZVE\ ¡*qTJc´bBq_J}]T?BA^QJpUBUO?`JQJYZ¿EJoAE?*JHIYbBbBJo´YRU*c_AEbuYZHI]!AD?WbGFcb¥ kÀc bBq_YRU·QFPRQS_PZSTU\b`q_Jo^J²Tc_YebBYZAEc AE2X_YRUWYZH"S_PRFb`YeADcaSTUBJoIAD?uM*MuµAEG? =tÃQFPRQS_PZSTU@X_?BJpF£^UlADX0¿YZAES!U FEPeCDJX_?GFYRQ}PRFÇ¡%U\9UWS!QGqÉFEU bBq_JQADHHS^b`FbBYZ¿0YbhV A·]TF?GFPZPeJP QAEHI]!AUWYebBYZAEc¾E¥ _AD?YZcTUWb`FEcTQJD\!YZcÉCDJc_J?`FEP . - . . ï H. JI K MLON. . B.
(15) ¡OJ¡·ADS_PZo7o^YRUhb`Yec_CDS_YRUWq°]_?`A0QJU`UWJpU 1 # 4+ /7FEcTo E1 4 #+ /2\åUBYec!QJbBq_JaFDQbBYZAEc!U b`q_JV ]9J?BAE?`H HaFÇV q!FÇ¿EJfUWV0cb`FDQbBYRQFEPePZV)o^YeÏ=J?`Jcb*AEX^ghJpQb%]TFE?WbGU\^cTFEHIJPZV= #4 FEcToF4 # I¥ ¼uq_J}FE]_]_?`ADFEQGqIbGF£DJc)X0V ¼uq_ADHaUWJc7¸ ¼uq_AD|Dwǽ¢\ADPePZA¡*YecTC"JFE?BPZYZJ?OYZo^JpFEUOX0V y UWbBJpUWYRFc_AIFc!o)»OAES^t o_AEP ¸ y%ºfn%xEx_\ »OAESTxD|p½¢\ YZU,bBA ?`J[S_YZ?BJ ¨ Rª©« ±?GFb`q_J?fb`qTFc¬D9«¬« Aub`q_J ]_?`A^QJU`UBJUfJHIYebWt b`JoYZc F§q_YeCDq_J?BtÃAE?Go^J? ADS^bB]TS^b´FDQbBYZAEc¾¥O¼uq_YRU)AE?`H AE,X_YZUBYZH"S_PRFb`YeADc2\OQFPZPeJpo D0W`E ¨ Rª ©_E«¬¬T\%UBJJHaUbB?`AESTX_PeJpUWADHIJ7¡*q_JcÁ?`JUWbB?`YRQbBYZAEc YZU F®UhbGFb`YZQ°X_YZcTo^J?\*FEU´YZcÁADS_? UWJbWb`Yec_C!¥ ³ »OV QAEcbB?GFEUWb\=q_YZCEqTJ?Bt¢AD?`o^J?fX_YZUBYZH"S_PRFb`YeADc±FE]_]9JF?GUbBA ¡OAE?`£ ¡OJPZP$YecÅQFPRQS_PZY$STUBYec_C o_Vc!FHIYZQIXTYecTo_Yec_C FDUOYec°¸ y%ºfn%xDx_\^y%ºfn%|K^\^»OAESTxD|ǽåAE?uYecbBqTJfQFPRQS_PZSTU%M }MuµÉ¸ ¼uqTAD|Ew½ $0b`q_JfHJpFc_YZc_CA o_Vc!FHIYZQ XTYecTo_Yec_CAE?Ob`q_J?`JUWbB?`YRQbBYZAEcQAEc!Uhb`?BSTQb·YRUOJÈ^]_PRFYZc_Jo)Yec)bBq_J}QADcTQPZSTo^YZc_CUWJpQbBYZAE c $YZc b`q_YRUu]TF]9J?O¡·J ! fo^JpFPå¡*YebBq UhbGFb`YZQfX_YZcTo^YZc_C!¥¶ TAE?*YZcTUhbGFcTQJE\0bGF£EJ ³ {Ƕ
(16) E / / 4
(17) * ³ > /A !/=¶ >@?BA^QJU`UWJpU rFc!o 4 o^YeÏ=J?uYec)bBq_Jf¿FPZS_JQF?`?`YeJpoaX0V 9\0¡*q_YRQGq)YRU /YZc b`q_J AD?BHIJ?\0FcTo > /)YecbBq_J PRFbBbBJ?¥=i AE?`JA¿DJ?p\0UBYZcTQ+J * YRU F)UhbGFbBYRQ}X_YZcTo^J?\TbBq_JAES^b`]_S^b X0V 4QFESTUWJpUubBqTJ"JÈ0b`?BSTUBYZAEc A$cTFEHJ °\^Y¢¥ JD¥e\^b`q_J,U`QAE]9JfAbBq_J}?`JUWbB?`YRQbBYZAE5 c * YRU*JcTPZFE?BCDJoab`AaJHX_?`FDQJbBq_J}?`JQYe]TYeJcDb*AE /2¥T¼ AIUBJJ FEc)JÈ^FEHI]_PeJD\bBq_JfYZcDb`J?GFEQbBYZAEc)X9Jbh¡OJJ5c 4¹FcTo '³ & ¶ YZU ³ XVFPZ]_qTFtÀQADc0¿EJ?GUBYeADc¡OJfQFc FEU`UBS_HIJ b`qTFb o_AJpUuc_Ab%A^QQS_?*YZc }¶Ì '³ & ¶ 3# 4 E '³ & ¶ 3#O* ³ E1! / !/=# ¶ $&"% *' ³ B7 /: & ; # /=¶ kÀcb`q_J o^J?BYZ¿FbBYZ¿EJD\UWYZcTQ(J ÂYZUl?BJpUhb`?BYRQb`JoIFcToIo^A0JpU$c_AblA^QQS_?lYZc \]_?`A0QJU`)U > /I¡*YZPePTc_J¿DJ?$²Tc!oF ]!F?BbBc_J?lbBAQADHHS_c_YRQFbBJ%¡*YebBq2¥0kÃbOYZU@bBq_J?BJAE?`J F"o_JFEo_PeA^QG£EJpo]_?BA^QJU`U\FcTo FDU@UBSTQGq)UBJHaFcb`YZQFPZPeV b`q_J7©I FEU /å¥$kÀc!o^JJpoå\Yec®Fc0VÅQADcDb`JÈ08b 'FcTo 4 CEYZ¿EJ?BYRUBJ bBA7bBqTJ U`FHIJYecbBJ?`FDQb`YeADcTUFEcToå\ FDQQAE?Go^YecTCEPZVE\0UWq_ADS_PRo)X9J}QAEc!UWYRo^J?`Jo)J[S_YZ¿FPZJcb¥
(18) c^AE?BbBS_c!FbBJPeVD\^bBqTJV)FE?BJ9E«@q_YZCEqTJ?Bt¢AD?`o^J?@X_YRUBYt HIYZPZFE?¥ %YZCEq_J?WtÃAE?Go^J?$X_YZUBYZH"S_PRFb`YeADc¯ÍhAE?`CEJb`U`Îf?BJpUhb`?BYRQb`YeADcTU$¡*q_YRQGq F?`J%JÈb`?BS!o^JoIYZc)FcaADS^bB]TS^b\PeYZ£EJ b`q_JI?BJpUhb`?BYRQb`YeADc7AD*c YZ<c 4IJ¥ _AD?}Yec!UhbGFcTQJEJ\ FEcTo 4FE?BJIo^YRUhb`Yec_CDS_YRUWq_Jpo°X!JpQFS!UWJbBqTJ]T?BA^QJpUBUBJU b`q_JVÅbB?GFcTUBHIYbp\$cTFHIJPZ-V / Fc!+o /¾\lF?`JcTAbaJ[S_YZ¿FPZJcbG¥ c_J QADS_PRoÅb`q_YecT£ÅAfFEoÇghSTUWbBYZc_C°bBqTYZU JÈ_FHI]_PZJ X0VaYeHI]9ADUBYecTCF"o_YÏ=J?`JcbObB?`JFb`HIJcbOAE2bBqTJJÈb`?BS!o^Joac!FHI,J °\bBq0STUuQADHI]TF?`YecTBC / ¡*YebBq * ³ > /9¶*?`FbBq_J?%b`qTFc /2¥=»OS^b b`q_YZUfFE]_]_?`ADFEQGq YRUQJ?Bb`FEYec_PZV´¡*?BADc_C FcToÉQFcÉX!Jo^YZU`FEUWbB?`AES!U%YZc AEbBq_J?lUWYebBS!FbBYZAEc!U
(19) ¥ TAE?$YZcTUhbGFcTQJE\Ye/ .¤YRUlFfo^JFDo^PZA0QG£DJo]_?`A0QJU`U¡*Yb`q ?BJJ*YecIYeb\PZYe£DJ *'0 ³ 0 /=¶G\ b`q_Jc´b`q_YZU QGq_AEYRQJfJ[STFbBJpU·]T?BA^QJpUBUBJU ³ KD¶ * ³ E1! > /9¶ FcTo * ³ !. 2 /=¶ ¡*qTYZQGq X0VQADcbB?GFEUWb)qTFÇ¿EJ7QAEHI]_PZJb`JPZVo^YÏ=J?`Jcb ]!AUBUBYZX_YePZYebBYZJUA,YZcDb`J?GFEQbBYZAEcTU ³ bBqTJÉAD?BHIJ?´QFEc QAEHIH"STc_YZQFb`JF1b Æ¡*Yb`q bBqTJ?`JQYe]_YZJcbOA2 FEcToIbBq0STUuFDQbBYZ¿Fb`JF"QAE]0VIA3 ,¶¥¼uq_YRUuF]_]T?BAFEQGq ¡OAESTPZo´FPRUWAV0YeJPZob`q_J}PZFÇ¡ *' ³ + 4"¶ E1 * + !4 4lJb*YecbBq_Jf²!?`UWbO]T?BA^QJpUBUuFEPePåQAD]_YZJUOA FEQbBYZ¿FbBJpo)X0VaYeb`Uu?`JQYe]_YZJcb%UBqTF?`J%b`q_J}cTFHI5 J 7\^¡*qTJ?`JFEU YZc7bBq_JaUBJQADcTo ADc_JE\9b`q_JacTFHI J YZU]_?`YZ¿ÇFbBJbBA´JFDQGq7QAE]0VE¥ %YZCEqTJ?Bt¢AD?`o^J?XTYZUBYeHS_PRFbBYZAEc°F]_]9JFE?`U A¿DJ?BtÃo_YZU`Q?`YeHIYZcTFcb`Yec_C"J¿EJcYebBq_J}?`JUWbB?`YRQbBYZAEcAE]9J?GFb`AE?uYZUuADHIYbBbBJo2¥=M·AEc!UWYRo^J?p\AE?*YZcTUWb`Fc!QJE\ ³ ~¶
(20) E1 /A ,6 / "
(21) E> / A,6 / ¼uqTJVIF?`J*c_AbOJ[STFb`JoaFDQQAD?`o_Yec_Cb`A,q_YZCEq_J?WtÃAE?Go^J?$XTYZUBYeHS_PRFbBYZAEc¾¥D¼uq_YRUlYRUlS_c!UBFbBYRUh¬FDQbBAD?BVX!JpQFESTUWJ b`q_Ju?BJ]_PZYZQFbBYZAE%c ,6 /IQA¿EJ?GU¾bBq_J*o^YeÏ9J?BJcTQJuX9Jbh¡OJJDc /IFEcTo /2\?`JCF?Go^PeJpUBU A9q_A¡ÅHaFc0V"QAE]_YZJU )- =.
(22) AE¾b`q_JHFE?BJSTUBJoå¥_¼uq_JpUWJYZcTQADc¿DJc_YZJcbGU@AE q_YZCEq_J?WtÃAE?Go^J?@X_YRUWYZH"STPZFbBYZAEc)q!FÇ¿EJFEPZUBA"X9JJccTAbBJpo)X0V AEbBq_J?*]!JAE]_PZJE\TYecTQPeS!o^YecTC n*AEX9J?BbBAay%HaFDo^YeA!\_n*AEXTYec i YZPecTJ?%Fc!oj@S_CEJc_YeA i ADCECDY4¥ ¼uqTJ´FEX!A¿DJQADS_cbBJ?BYZcbBS_YebBYZ¿EJJ[STFPZYebBYZJUA qTYeCDq_J?Bt¢AD?`o_J?"XTYZUBYeHS_PRFbBYZAEc®F?`Jo^STJb`AÉb`q_J¬FEQb b`qTFbp\ YZc§FEc¯AES^b`]_S^b\ bBqTJ)AEX_ghJQb]TF?BbFc!o°bBq_J´QAEcb`Yec0STFbBYZAEc¯F?`J JÈ_FEHYZc_Jpo¯UWJ]TF?GFb`JPZVE¥¾y X!A¿DJ FEPeP¢\0bBqTYZUO]_?`J¿DJcb`UuFUBFbBYRUh¬FDQbBAD?BVb`?BJpFbBHIJcDbuA¾bBq_J}QGqTFEc_c_JPRUO]_?`Ye¿Fb`J b`A"b`q_Jbh¡·A!¥ _AE?Ob`q_Jf?BJpFEo^J? ¬FEHIYePZYZFE?$¡*Yb`qac_AEc_t¢YZcbBJ?`PZJFÇ¿0YecTC ]_?`A^QJU`U$FPZCEJX_?GFEU\b`q_YRUlUWqTAES_PRo"?`JQFPZP0bBq_J*]T?BADX_PeJHaUAlR«¬ ¨ _«Ã` ¨ Rª©_e«4¬¸ M xE|½OYZc§]_?`JUBJc!QJ)AE ?`JUWbB?`YZQbBYZAEc2¥ c_J)HIYZCEqbbBq_JcÅbB?`V°bBA7AEPZPeA¡b`q_J UWADPeS^b`YeADc AD?IbBq_JÉPZFbWbBJ?a]_?`AE]9ADUBJo¤XV¤»·ADSTo^ADP*Jb)FP¢¥lYZc ¸ »%M }| ½ Fc!o¤X!FEUBJo¤AEc®bBq_J YZcbB?`A^o^STQb`YeADc¤AE eG«4¬T¥u¼uqTJ YZo_JF¯YRUab`AÅ£EJJ] bBqTJ bh¡·A¤QAEHI]9AEc_Jcb`Uab`A§Fc!FPZV0UBJ bBADCEJbBq_J? X_S^b FEU`UWYZCEc®bBqTJH o_YÏ=J?`Jcb)PZA^QFb`YeADcTU\l¡*q_YRQGq QFcX9JÉo^JbBJpQbBJpo ¡*q_JcÁFc AEXTUBJ?`¿FX_PZJ FEQbBYZAEc YRU ]_?`A^o^STQJpo奷¼uq0STU b`q_J ADXTUWJ?B¿FEX_PeJ FDQb`YeADcTU}AObBqTJabh¡·A QAEHI]9AEc_JcDbGU,QFEc±X!J´o^YZUWbBYZc_CDS_YZUBq_Jpo°FEcTo±VEJb\åb`q_J?`J)QFc±X!J ]T?BYZ¿FbBJcTFEHJpU·FEcTo)QAEHIH"STc_YZQFb`YeADcTU@X9Jbh¡OJJc b`q_JH ¥^y%cYecTQAEc0¿EJc_YZJcb·AE2bBq_YRUuF]_]T?BAFEQGqaYRU@b`qTFb Yeb%?`J[S_YZ?BJpU*Fc´JÈ0bBJcTUWYZAEc´AbBqTJ,UWV0cb`FÈ AbBq_J}PRFc_CDSTFCDJE¥ kÀc!Uhb`JFEo2\AEST? QGq_ADYZQJlqTFEU¾X!JJc}b`AFÇ¿DAEYRo b`q_J·UBJ]!F?GFbBYZAEcfX9Jbh¡OJJc}AEX^ghJpQb ]!F?Bb FcTo}QAEcbBYZc0STFb`YeADc AE2FcIAES^b`]_S^b·FDQb`YeADcX0VJÈ^]_PZYZQYb`PeVb`FE£0Yec_C}YZcbBA,FDQQADS_cb$bBq_J`!«ÃBÄ«aYZca¡*q_YRQGqIbBq_J JHIYbBbBJpoaFCEJcb YRUfUWST]_]!AUWJpo bBA´CEA!¥9¼uqTJ"?`JUBS_Pb`YecTC)X_YRUWYZH"STPZFbBYZAEc2\åQFEPePZJo¤`!«ÃBÄ« ¨ RGª©_E«¬¬T\¾QFc X9JCDYe¿DJcÉFEc JPeJCDFEcDbuAD?BHS_PZFbBYZAEcSTUWYZc_CIb`q_J,UWV0cb`FDQb`YZQfQADcTUWbB?`STQbGU·AE* ¨ «4BE«4¬Fc!o°G=`«4¬!\_X!AD?B?`A¡OJo ?`AEH ¸ i YePR|_{\ %Jc!|E~ǽå¾y%X!Uhb`?`FDQbBYZAEc!UFEcTo±QADcTQ?`Jb`YeADcTUfF?`JJÈ^]_?BJpUBUBYZAEcTUA·bBq_JIAD?BH '³ & ¶ 4FEcTo *)3 4I\^?`JUB]!JpQbBYZ¿EJPeVD¥0¦Yb`q)b`q_JUBJE\^YZc_]_S^b FEcTo ADS^bB]TS^bubB?GFcTUBYb`YeADcTUuQFEcX9Jf¡*?BYebWb`Jc´YecbBq_JAD?BH $&% '³ & ¶ 4 FcTo $&% * !4 b`q_J*AD?BHIJ?$HIJpFc_YZc_C .Í ÁYRU$¡*YePZPZYec_Cfb`A}?BJpQJYe¿DJuFEcaFCEJcb$FGb 9\EU`FÇV \EFcToIQAEcbBYZc0S_J%FE U 87 3: & ; ÎT\ FEcTo7bBq_J)PZFbWbBJ?}HIJFcTYec_CÍBX0V JÈ0bB?`STo^YZc_C cTFEHIJU ^\ ]_?`A0QJU` U +QFc±JHIYeb F+b 7FcTo°J¿EAEPZ¿EJb`A 4,Î_¥!yr]TUWJSTo^A)FE]_]_PZYZQFb`YeADc X!Jbh¡·JJc Fc FEXTUWbB?GFEQb`YeADc '³ & ¶ FEcTo F QADcTQ?`Jb`YeADc *) !4QFEc X!J o_J²Tc_JpobBq0STUÌ ³W ³ & ¶ " ¶ ³ *) !4"¶
(23) * ³ 87 : & ; # 4"¶ ³ ¡*Yb`q ]9ADU`UWYZX_PZJ}?BJcTFHIYZc_CaA b`A)FÇ¿EADYZo´QFE]^bBS_?`J}A$cTFEHIJU*YZc "¶G¥ %A¡}\TS!UWYZc_ C
(24) 5 AE? QAEcTQ?BJt b`YeADcTU\ ®AE?FXTUWbB?GFEQbBYZAEcTU\ åAE?QADcDb`JÈ0b XTYZUBYeHS_PRFbBYZAEc¾\pFEcTo}STUBYecTC*bBq_JO¡OJF£fF?`?`A¡ b`A FXTUWbB?GFEQb*?BADH+UBYePZJcb UWbBJ]TU\_bBq_J,XTYZUBYeHIYZPZFE?BYebhVQPZFESTUBJAEQAEcbBJÈ0b%X_YZUBYZH"S_PRFb`YeADc´ADc´bBq_J,ADS^bB]TS^b`U AE bh¡OAI]_?`A0QJU`UWJpU Fc!Fo 4 YRUÌ ³¶ ¡*q_Jc_J¿DJ? $&%
(25) \_bBq_J?BJfJÈ^YRUhbGU ÆU¥ bE¥ 4 FEcT o
(26) ! " \^AD?%FPZP2FXTUWbB?GFEQbBYZAEcT U I¥ ³ q_J?`JE#\ ]_PRFÇV0Ub`q_Ju?BADPeJOAåF]!AUBUBYeXTPeJu?`JQYZ]_YZJcb$A!bBq_J*]_?`A^QJpUBUJHIYebWb`JoX0+V FEcT8o 4¶G¥¦°JOYZHI]!AUWJ b`q_J,UBVHIHIJb`?BYRQ?BJp[S_Ye?`JHIJcDb*ADc´YZc_]_S_b`UÌ ³ vD¶ ¡*q_Jc_J¿DJ? $&% I\^b`q_J?`JfJÈ^YRUhbGU U¥ b¥ 4 Fc! o
(27) "$
(28) \_AE?%FPZP2QADcTQ?`Jb`YeADcT%U
(29) ¥ M·ADcbBJÈ0bOX_YZUBYZH"S_PRFb`YeADc J[STFbBJU@bBqTJ]_?`A^QJpUBUBJU@Yec ³ {ǶlFcTo ³ ~0¶G\0FcTo o_YZUWbBYZc_CESTYZUBq_JU·b`q_ADUBJ YZc ³ K¶G\^FEU ¡OJI¡*YZUBq_JpoÉb`A o^AT¥2y o^?GFÇ¡*XTFDQG£´AEOQAEcbBJÈb}X_YRUBYeHS_PZFbBYZAEc°YZUb`q_JaS_c_YZ¿EJ?`U`FP$[STFEcDb`Y²9QFb`YeADcTUA¿EJ? FEXTUWbB?GFEQb`YeADcTU*YZc ³ ¶uFcTo A¿DJ? QAEcTQ?BJbBYZAEcTU%Yec ³ vD¶G\!¡*q_YRQGq QFc HaFE£EJ,Yeb qTFE?`oå\!Yec ]T?`FDQbBYRQJD\_b`A STUBJ b`q_YRUuJ[S_YZ¿ÇFEPeJcTQJD¥^¦7J}UBqTFPZP9bBq_J?BJAE?`JPZA0AE£IAD?uUBYZH]TPeJ?uQGq!F?GFEQb`J?`YZU`Fb`YeADcTU\E¡*q_YRQGqo^AIc_AEbO?`J[S_YZ?`J - . ï H. JI K MLON. . B.
(30) TS c_Ye¿DJ?GUBFEP2[STFcbBYe²!QFbBYZAEc!U¥E S_? X!JpUhbQFcTo_YZo_FbBJfAD?*bBq_YRU%¡*YZPZP2X!J)9©a ¨ Rª©_«4¬!Ì!kÃbUWq_A¡%U b`qTFbYbYZU*]9ADU`UBYeX_PZJ}b`A ?BJpFEUBAEc´¬FYZ?`PeVJ QYZJcbBPZV´Yec FaqTYeCDq_J?Bt¢AD?`o_J?%QFEPZQS_PZSTU\Tc_Abh¡*YebBqTUWb`FEcTo^YZc_C Yeb`U UBAE]Tq_YZUWbBYRQFbBJpo b`?`FEcTUWYebBYZAEc!FPåUWJHaFcbBYRQU¥ yÆQ?`STQYZFEP·?`AEPZJYZc§ADS_?aUhb`STo^VÅYRU]_PRFÇVEJoÅXV «4pDGFc!oÅX0V±bBq_JaËD«ÃR«4¬ «^GB©¥ly b`?BYZCECDJ?}YRU,Fc±JPeJHJcb`F?`VÉ]T?BA^QJpUBUf¡*qTADUBJaAEc_PZV S_c!QbBYZAEc!FPZYbhV7YZUfb`AÉFEQbBYZ¿FbBJ F QAE]0V AE*FEc_Ab`q_J? ]T?BA^QJpUBU¥¦°JUBqTFPZP_STUBJ*bB?`YZCECEJ?`Ub`A}]!J?WAD?BHÊ]_?`A^QJU`UbB?GFc!UhAD?BHaFb`YeADcTU¡*q_YRQGqaHaF£EJub`q_J*b`?BJpFbBHIJcDb AE}q_YeCDq_J?BtÃAE?Go^J?aQADcTUWbB?`STQbGUaJFDUWYZJ?p¥@¼uq_J HIAUhb YZHI]!AD?WbGFcb)A}UBSTQGq bB?GFcTUWAE?`HaFb`YeADcTUIYZU)Yec!o^JJpo b`q_J¬FEQb`AE?`YZU`Fb`YeADc´bBq_JAE?`JH \!¡*qTYZQGq°UhbGFbBJpU%b`qTFbp\!X0V HIJFEcTU AElbB?`YZCECEJ?`U\TFUWS_XT]_?BA^QJU`U%AOF CEYZ¿EJc ]T?BA^QJpUBUuQFc´X!Jf¬FDQbBAD?BYRUBJoAES^bp¥ ¼ A]T?BA¿DJ$bBqTFbQAEcbBJÈ0b X_YRUWYZH"STPZFbBYZAEc"FEcTo,c_AD?BHaFEPDX_YRUBYeHS_PZFbBYZAEc"QAEYZcTQYRo^JD\¡OJOUBqTFEPePCEA bBq_?`AES_CDq FEc Yecb`J?`HJpo^YRFbBJQGqTF?GFEQbBJ?BYRUBFbBYZAEc2\^c!FHIJPZV°«4pDBG ¨ Rª©_«4¬!¥2¼uq_YZU YZUFaX_YRUBYeHIYZPZFE?BYebhV?`JPRFt b`YeADc¡*YebBq´JÈ0b`?BJHJPeV UBYZH]TPeJ}QPRFS!UWJpU·ADc)YZc_]_S^b FEcTo ADS^bB]TS^b FEQbBYZAEcTU¥ %A¡OJ¿EJ?\DYb%YRUOAEc_PZV)o^J²Tc_Jpo ADc b`q_J}UWS_X=QPRFEU`UOA·«4pDBG !«¬G\^?`AESTCEq_PZVE\0FCDJcb`UOYZc)¡*q_YRQGq)b`?BYZCECDJ?GUlADc_PeV QFcX!JfJÈ_QGqTFEc_CEJpo YZcQAEHIH"STc_YZQFb`YeADcTU¥0¼ ?BYZCECDJ?GU@FCDJcb`U·¡*YZPeP=?`J]_?`JUBJcb@AD?uSTUuF"UBAE?BbOAE ÍWc_AD?BHaFEP_AE?`HaÎ}AD?uFECEJcDbGU¥ ¼uqTJ¬FDQb`AE?`YZU`Fb`YeADc bBqTJAE?`JH+¡*YePZPåX9J}STUWJpobBAbB?GFcTUWAE?`HÂJ¿EJ?`V FCDJcb*Yecb`AIFb`?BYZCECDJ?`Jo)FECEJcDbp¥ e«Ã` @ p¥ $J?BVf?`JQJcbBPZVE\ÇF*J¡¤Uhb`STo^YZJU ATX_YRUBYeHS_PZFbBYZAEcTUUBYeHIYZPZFE?2bBAQADcDb`JÈ0b XTYZUBYeHS_PRFbBYZAEc"qTFEU X9JJc QAEc!o^STQb`Joå¥_y HaFEo^YZA ¸ y HIFD|E~ǽ2L ¡*q_AIqTFEUu]_?`AE]9ADUBJoYebuYZcTo^J]!JcTo^JcDb`PeV?`AEHÂSTU·LzSTUWJpUuYb b`AaUhb`STo^V b`q_J}Jc!QA^o^YZc_CIA$>lPRFYZc M }Muµ YZcbBDA =tÃQFPRQS_PZSTU $_y%HaFEo_YeA FEcTo FHaU,¸ y |Dvǽ¾]_?`AE]9ADUBJ FEc§JÈb`JcTUBYZAEcÅAE %Jc_c_JpUBUBV¯FcTo i YZPec_J? UHA^o_FEPuPeADCEYRQU¡*q_YZQGq QGqTFE?`FDQbBJ?BYRUBJUfb`q_YZUIX9Jq!FÇ¿YZAEST?`FEP Jp[S_Ye¿FEPeJcTQJ $E FEcTUBJc Fc!o fPeJYZUWb¸ }| ½qTFÇ¿DJ,FcTFEPeV^UBJo FIAD?BH AlFEUBV0cTQGq_?`AEc_ADSTUuq_YZCEq_J?WtÃAE?Go^J? QFPRQS_PZSTU}FEcTo±UWq_A¡OJoÉbBq!Fb)E«¢ G aFc!o ^ ³ b`q_YRU}bBJ?BHIYZc_AEPZAECDV YZU,X!AD?B?`A¡·Jpo ?`AEH'bBq_J =t QFPRQS_PZSTUuPZYb`J?GFb`S_?BJ¶@¿ÇFE?BYRFcbGU·AE ³ Uhb`?BADc_C0¶·QAEcbBJÈb*X_YRUBYeHS_PZFbBYZAEc QADYecTQYZo_JE¥ µ0J¿EJ?`FEPOAEbBq_J? Uhb`STo^YZJUIAEq_YZCEq_J?WtÃAE?Go^J?"]_?`A^QJU`UIQFEPZQS_PeY%FE]_]9JF?IYZc®bBq_J PZYb`J?GFbBST?BJ $$¡*Yb`q_AES^b QPZFEYeHIYZc_C b`AÉX9J)JÈ^qTFESTUWbBYZ¿EJE\ ¡·JQFc§?BJpQFPZPlb`q_J)¡OAE?`£^U}X0V %JcTc_JU`UWV ¸ %Jc!|E~ǽÃ\ ¡*qTA7QADcTUBYZo^J?BJpo b`q_J o^Jc_AbGFbBYZAEc!FPlF]T]_?BAFEQGq2\åFEcToÉX0V°y UWbBJUBYRFc_A Jb"FEP4¥l¸ y%ºfn%|KǽÃ\2Yec°b`q_J UWJbWb`Yec_C AEOCDJc_J?`FEPeYRUBJo FEPeCDJX_?GFYRQUW]9JQY²!QFb`YeADcTU ³ ¡OJ UWq!FPZPlQAEHIHIJcb,ADc7b`q_JUBJIbh¡OA´¡OAE?`£^UYec°bBqTJ)QADcTQPZSTo^YZc_C UWJpQb`YeADc9¶ $ X0V %YZJPRUBAEc§¸ %YZJxD|½Ã\!¡*q_A´qTFDU HaFYZc_PZV´A0QSTUBJo ADc bhV0]!JpUfFEU FHIJFEcTU AElJcTUBS_?`YecTC)HIAE?`J"?`JPZYZFEX_PZJ ]T?BADCE?GFHa%U $X0V %YZJ?GUWbB?GFEU ¸ %YZJ½Ã\_¡*q_AIqTFDU@b`?BYZJob`AIQAEHX_YecTJ =tÀQFEPZQS_PZSTU*FcTo tÃQFPRQS_PZSTUu¡*YebBq´bBq_J ]TS_?B]9ADUBJ´Ao^J²Tc_YZc_C¯FÉSTc_YAD?BH ?GFHIJ¡·AD?B£°AE?b`q_J UWJHIFEcbBYRQUAQAEcTQS_?`?BJcDbAEX^ghJpQbBt¢AD?BYZJcbBJpo PRFcTCESTFECEJU $_X0V fJc_c!FÇ¡OFÇV´FcToɵ^PeJJ]§¸ ,µ^xDvǽ¢\åµbB?`AEH FEcTo 4lJHIYZc_Y*¸ µ 4xDv½¢A\ %ADPeHaUWbB?`AEH ¸ %AEPRxE~½¢\ ¾Jb`q ¸ 2Jb`|Kp½¢\ºYZFDQFPZAEcTJE\2i YRUWq_?GF_\2FEcTo°>l?GFEU`FEo§¸ º}i >·xE|ǽÃ\2¡*q_AUWJIJHI]_q!FEUBYZU\åq_A¡OJ¿EJ?\9YRU}HIAE?`J ADc]T?BADCE?GFHIHIYec_CPRFc_CDSTFCDJFc!oYZHI]_PZJHIJcb`FbBYZAEc YRUBUBS_JU¥ =«¬T«¬^`ahËa«¬0f_G_ ¾kÀc¯µ0JpQbBYZAEcÅK)¡·JICDYe¿DJb`q_JAE?`HaFPlUBVcbGFÈÉFc!o b`q_JbB?GFcTUBYb`YeADcTFPlUBJt HaFEcDb`YZQUuAbBq_J}qTYeCDq_J?Bt¢AD?`o_J?*QFEPZQS_PeS!UuSTUWJpo FEUObBJpUhbBtÃQFPRQS_PZSTUuYZc´bBq_J}]TFE]!J?¥TkÀc µ^JQb`YeADc´~I¡OJf]_S^b AD?B¡uF?Go QADcbBJÈ0bfX_YRUWYZH"S_PRFb`YeADc2\9]_?BADXTFXTPeV´bBqTJHIADUWbfYecbBSTYb`Ye¿DJFDoÇghSTUWbBHIJcb}A@qTYeCDq_J?Bt¢AD?`o_J?%X_YRUBYt HS_PRFbBYZAEc AE? JPeYZHIYec!FbBYZc_CYbGUo_?`FÇ¡*XTFDQG£^U*o^YZU`QS!UBUBJo FEX!A¿DJE¥!kÀc7µ0JQbBYZAEc ¡·JYecb`?BA^o^STQJ,b`?BYZCECDJ?GU FEcTo7¡·J]_?`A¿EJbBq_J¬FEQbBAD?BYRUBFbBYZAEcÉbBq_JAE?`JH ¥2¼uq_YRUfYZUfSTUBJo7YZc±µ0JpQb`YeADc±v_\=bBA o^J²!c_JaFHaFE]_]_YZc_C ¡*qTYZQGqab`?`FEcTUWAE?`HIU@J¿DJ?`VFECEJcbOYecbBAF}b`?BYZCECDJ?`JoaFCDJcb\EbBqTFbOYRUOFc)FECEJcbOYec ¡*qTYZQGqJ¿EJ?BVq_YZCEq_J?Wt AD?`o_J? QAEHIH"S_cTYZQFbBYZAEc YRU*b`q_JQAEHIH"STc_YZQFb`YeADc A@FIb`?BYZCECDJ?p¥_kÀc7µ0JpQbBYZAEc!U FEcTo 0\!X0VJÈ0]TPeADYb`Yec_C )\_¡·J,FE?BJ}FEX_PeJb`Aa]_?BA¿DJUBYZH]TPeJ? QGqTF?GFEQbBJ?BYRUBFbBYZAEcTU·A$QADcbBJÈ0b*X_YRUWYZH"STPZFbBYZAEc2\_c!FHIJPZV b`?BYZCECDJ?`Jo XTYZUBYeHS_PRFbBYZAEcaFEcToIc_AE?`HaFP^X_YRUBYeHS_PZFbBYZAEc $EbBq_J%AE?`HJ?lYRU$J¿DJc UBYeHI]_PZJ?$b`qTFcIb`q_J%PRFbBbBJ?p\X_S_b·YRU$AEc_PZV o_J²Tc_Jpo¯AEcÅbBq_J´UWS_X=QPRFEU`U,AE*bB?`YeCDCEJ?BJpo°FECEJcDbGU¥ kÀc¤µ0JpQbBYZAEc¤x_\¾¡OJo_YZU`QSTU`U}b`q_J)JÈ0bBJc!UWYZAEcÅAE*bBq_J b`q_JAD?BV ]_?`JUBJcb`Jo b`A´F?BYRQGq_J?QFPRQS_PZSTU\!cTFEHIJPZV bBq_DJ %YZCEq_J?Wt ?Go^J0? =tÃQFPRQS_PZSTUI¸ µ_FcT|K½ $=b`q_YZU L . . . .
(31). . . . . . . )- =.
(32) S!UWYZc_CIbBqTJfbBJ?`HIYecTAEPZAECEVaYZc¯¸ µ_FcT|Kp½åL YRU*F$t¢AD?`o_J?uQFPRQSTPeSTU\_¡*q_J?BJpFEU·bBqTJ,QFPRQSTPeSTUuAE$µ^JQb`YeADc K AD?%>lPRFYZc M }Muµ)FE?BJ}UBJQAEcTo0tÃAE?Go^J?OQFPRQS_PZY4¥ p= *G©a!«¬ _k@FH HIAUhbuCE?GFb`JS_P!bBAIn*AEXTYeci YePZc_J?p\AE?uJc!QAEST?`FECEJHIJcDbOFcToaHaFEcVIb`JQGq^t cTYZQFP¾o^YRU`QSTU`UWYZAEc!U\^Fc!o)b`AajlCEYRo^YZAay UWbBJUBYRFc_A!\DAD? QADHIHJcb`UuAEc Fc´JFE?BPZV)o^?GFªb*AE b`q_J}]TF]9J?p¥
(33) ,
(34) }
(35) , # + $
(36) , G $
(37) , (* ¼uqTJQFPRQS_PZSTUl¡OJ S!UWJYZUOUWYZHIYePRF?·bBA¼uq_AEHaUBJc U@>@PZFEYec M }Muµ ¸ ¼uq_AD|D~ǽ $Dq_JcTQJD\D]T?BA^QJpUBUBJU·QFEc X!J ]!FEU`UWJpoÉF?`AESTcToå¥=¼uq_JIHIFEYec°o^YeÏ9J?BJcTQJpU?BADH>lPRFYZc°M }Muµ7F?`JEÌ=¼uq_JISTUBJAEOFX!Uhb`?`FDQbBYZAEc!UFEcTo QAEcTQ?BJbBYZAEcTUb`A ?BJ]_?BJpUWJcbfYZc_]_S_b"FcTo°AES_bB]_S^b,]T?BJ²_È^JU $=bBq_Ja]_?`JUBJc!QJIA lG«4WBDI9©I\2Y¢¥ JD¥e\ c!FHIJU¡*q_YRQGq7QF?`?BV c_AEbBq_YZc_CT¥å¼uq_JpUWJIF?`J"AD]_]9ADUBJo b`AÉ^WBEa9©I\åY4¥ JE¥Z\=cTFHIJpUS!UWJpo b`A JÈ_QGqTFc_CDJ%]_?`A^QJU`UBJU ¥ _AD?lbBqTJ%bBqTJAE?`V¡·JUWqTFEPeP9o^J¿DJPZAE]2\EbBq_J]_?`JUBJcTQJ%A=²T?GUWbWtÃAE?Go^J?lc!FHIJU·YZU@c_Ab cTJQJpUBU`F?`VE\0X_S_b%HIFE£EJpUObBq_J}]_?`JUBJcbGFbBYZAEcA¿F?`YeADSTUO?BJpUWS_Peb`UuJpFEUBYeJ?¥ ¼uq0STU\EPZJb ¹X9J%b`q_J YZc^²TcTYb`JUBJbOA=²T?GUhbBt¢AD?`o^J?lcTFEHJpU\FcT o ÂbBq_JYec_²Tc_YebBJUBJbOA2q_YZCEqTJ?Bt¢AD?`o^J? c!FHIJU¥T¼uq_Jc2\
(38) 7 Ì
(39) ; \
(40) 7 ÂDÌ ; \
(41) 'FcTo
(42) É¥T¼uq_J UB]9JQYRFP!UWV0H"X9AEP å\E¡*q_YRQGqao^A0JU$c_AEblA^QQST?lYec AE? \Eo^JcTAbBJpUlF}UBYePZJcb@UWbBJ]¾¥E¦°J*PeJb ?GFcTCEJuA¿EJ? F7 ; \^Fc! o ?GFcTCEJA¿EJ? F7 ; ³ b`q_J,UBJbuA$M*Muµ0t¢PZYe£DJFDQb`YeADcTUG¶¥_»OV QAEc0¿DJcbBYZAEc2\0Ye ! bBqTJc ¥0¦7JfSTUBJ}UWV0H"X9AEPRU "2$#&"AE?*cTFEHJpUOYe! c $_UWV0HX!ADPZ1U 60 AD?ucTFHIJUuYZ%c $_FEcTo UBV0H"X9AEPR U '& $("AE?fcTFEHIJUfYZ)c ɥ妰JaFPRUWA FEU`UBS_HIJFEc7YZc^²Tc_YebBJ UBJbfA·!BpGG ¬ ¨ \¾?GFc_CDJo A¿DJ?uX0V & +* -,}¥ .´0Ñ /2143ª 35Õ 1 687:9<;2^} !«ÃE«4¬G«ÃÃD¬WË"^,eET9)«^ªB©©a"B = >OBpGG =? A@
(43) B@C
(44) .B@8 )# "D@D*BGA@ & @(, # / ¨ «¬BD«4¬T =? ³ & ¶ E =`«4¬T
(45) =? *F"
(46) G@5 1 " D!«¬ H =? G@G@
(47) M4 ¤FcTo .°¡*YZPePD?`FEc_CEJA¿EJ?å]_?`A0QJU`UWJpU\ ®Fc!o ¤A¿DJ?2FX!Uhb`?`FDQbBYZAEc!U\
(48) ®FcTo A¿DJ?2QADcTQ?`Jb`YeADcTU\ H FEcT o IÊA¿EJ?*FECEJcbGU¥ y c FXTUWbB?GFEQbBYZAEc '³ & ¶ X_YZcTo_UFPZPå?`JJ,A^QQS_?`?BJcTQJpUuA & YZc $TUBYeHIYZPZFE?BPZVFI?`JUWbB?`YRQbBYZAEc *F"6 XTYecToTU"b`q_J ?`JJA^QQST?B?`JcTQJU"AJ "®Ye-c I¥¼uq_JpUWJX_Yec!o^J?GU"CDYe¿DJ ?`YZUBJ)YZc¯bBqTJJÈ0]9JQbBJpo¯¡OFÇV7bBAÉbBq_J o_J²Tc_YebBYZAEc!UAEFPZ]_qTF7QADc¿DJ?GUWYZAEc¾\2?`JJ)¿FE?BYRFX_PZJUFc!o¯?`JJ)c!FHIJUAFc§FECEJc!b H,\?BJpUW]9JQbBYZ¿EJPeV ¿ ³ H¶uFEcTo c ³ H¶¥ y c7FECEJcbYZUaÇG Ye@Yebfq!FEUc_A)?`JJ¿F?`YZFEX_PeJD5¥ KL´YRUbBq_JIUBJbfA·FEPePFCDJcb`U $5KLNMYZUb`q_JUBJb AEFPZP*QPZADUBJoÅFE CEJcD bGU¥µ0YZHYZPRF?`PeVD4\ OP FEcTQo OP M F?`J b`q_J´UBJbGUA FPZPu]_?`A0QJU`UWJpU"FEcToÅAEFPZPOQPeAUWJpo ]T ?BA^QJpUBUBJU¥ 87 4 : & ; o^Jc_Ab`JU%bBq_JQAEHI]9AEc_Jcbh¡*YZUBJ"Fc!o UWYZH"S_Peb`FEc_JADSTU UBS_XTUWbBYebBS_bBYZAEc AEl¿ÇFE?BYRFXTPeJpU & ¡*YebBqÅ]T?BA^QJpUBUBJU 4 ³ ¡*q_J?`JaYeb"YZUFEU`UWSTHJpo7bBqTFb"bBqTJ HIJH"X9J?GU}AE & FE?BJ o^YRUWbBYZcTQb¶G¥¦7J AEªbBJc FEX_X_?`J¿0YRFbBJ *" 8 *C"SRTHFEU *" U"5RTH,¥kÀcIFUWb`FbBJHJcb\¡OJOUBqTFPZP_U`FÇVb`qTFb@FcTFEHJuYRUåËGB` b`AaHIJFc´b`qTFb%Yeb YRU*o^YÏ=J?`Jcb%?`AEH+Fc0V Ab`q_J? cTFHIJ}A^QQS_?B?`YZc_CYZc FCDJcb`UuAE b`q_J"UWb`Fb`JHIJcbp¥_kÀc F ]T?BJ²_ È H ¡·J,QFPZ8P Éb`q_JI W¨ V G«¬¥ ¦°J)UBqTFPZP@ADc_PZV°FDo^HIYb«Ã=EB7G9B«4¬T\ Y¢¥ JD¥e\ JÈ^]_?`JU`UWYZAEc!U *"8 " ¡*q_J?`JacTFHIJpU,YZc "° F?`J,]TFEYe?`¡*YZUBJ"o^YRUWbBYZcTQbfFcTo "Y Xc ³ p¶¥!kÀcTo_JJo2\_bBqTJ"?`JHaFYZc_YZc_C)QADcTQ?`Jb`YeADcTU*qTFÇ¿DJ,PZYbBbBPZJUBYeCDc_Yt ²9QFc!QJE̾kÀ<c *"+ 4+ I\ X0V7FPZ]_qTF QAEc0¿EJ?`UBYZAEc2\=cTFEHJpU "¤ QFc±X9J)FEU`UWSTHJpo7bBA X9J)o^YRUhb`YecTQb $FcTo±Ye . - . . ï H. . JI K MLON. . B.
(49) y Pe]TqTF >@?BJ²_È >$FE?`FEPePZJPZYRUWH YZ?`UWbWtÃAE?Go^J?OQAEHIH"S_cTYZQFbBYZAEc YeCDq_J?BtÃAE?Go^J?uQADHHS_c_YRQFbBYZAEc n%JUWbB?`YZQbBYZAEc n%J]_PZYZQFb`YeADc. . FEcTo 4 EF Pe]TqTFIQAEc0¿DJ?BbBYZX_PeJ. 4 $/% H $H $&% H $% H $% " $ % " $ % " $ %
(50) $&% H"\ 7 "2 " ; #,. $ % H. . YZHI]_PZYeJpU YZHI]_PZYeJpU YZHI]_PZYeJpU YZHI]_PZYeJpU YZHI]_PZYeJpU YZHI]_PZYeJpU . $/%. H. #O ". $&%. H(# ". )#O". $&" %. #O ". . #O " $&"%
(51) F* "6 $&% *C" H ,. $&% H. ¼FX_PZJa{EÌ_¼uqTJfbB?GFcTUBYb`YeADc´UBV^Uhb`JH "Q ´c ³ "4 ¶ 37" ; b`q_JcIYZc8*C"2 "B 4+ cTFHIJT" QFEcX9J*]_STUBq_JoYZc0¡OFE?`o_U\Ç?BJpUWSTPb`Yec_CYZcb`q_J%UWb`Fc!o_F?Go QAEcTQ?BJbBYZAEc8* "B 4+ ³ *F"0"¶G¥kÀcbBq_JOADPePZA¡*YecTCT\Ç¡·JOb`q_J?`JAD?BJuFEU`UWSTHJOb`qTFb$Ye5"Q ´c ³ 4"¶ 7" ; \b`q_Jc *F2" "B 4B Ê o^Jc_AEbBJpU)* "B 4+ ³ *F"0" ¶G¥. °¦ J,¡*YRUWq b`AaJÈ0bBJcTo ?BJpUhb`?BYRQb`YeADc´bBAaAE]9J?GFb`J}AEc FX!Uhb`?`FDQbBYZAEc!U\_FEcTo ³ FIAD?BH+AG¶O]!F?GFPZPeJP¾QADHt ]9ADUBYebBYZAEcbBAaAE]9J?GFb`JADc FXTUWbB?GFEQbBYZAEcTUuFc!oQAEcTQ?BJbBYZAEcTUÌ Y ³ & ¶ 4rbBq_Jc Ye & ¿ ³ "¶@b`q_Jc #OÊo^Jc_AEbBJpU '³ & ¶ ³ 4 # "¶ ³ FcTo´UWYZHIYePRF?`PZVaAE? # "¶\ FEcTFo *"Êo^Jc_Ab`JU '³ & ¶ *" $ Y
(52) *"+ 4B b`q_Jc Ye " c ³ "¶ b`q_Jc
(53) # o_Jc_AEbBJ6U *"+ 4+ ³ # "¶ ³ FcTo´UWYZHIYePRF?`PZVaAE? #
(54) ,¶¥ ¦°J}c_A¡ ]T?BJpUWJcDbub`q_J}AE]9J?GFb`YeADcTFPåUBJHaFcbBYRQUuAE b`q_J,QFEPZQS_PZSTU¥ YZ?`UWb\T¡·J}o^J²Tc_J,Fc´AE]9J?GFb`YeADc AE@]TUBJSTo_AtÀF]_]_PZYRQFb`YeADc X9Jbh¡OJJc±Fc°FXTUWbB?GFEQbBYZAEc ³'& ¶FEcToÉF´QADcTQ?`Jb`YeADc
(55) *"+ 4+ ¥ »OV)FEPe]TqTFIQAEc0¿DJ?GUWYZAEc2\¡OJ,QFc FEU`UBS_HIJb`qTFb " Ic ³ "¶ FEcTo b`q_Jc ¡OJ}UWJb
(56) "
(57) * " ³ # 8794+: &<; ¶ FEcToå\TUBYZHHIJbB?`YZQFPZPeVD\
(58)
(59) * " ³ 87 4+: & ; # }A¶ µ^YeHIYZPZFE?BPZVE\å¡OJo_J²Tc_J FEc7AD]!J?`FbBYZAEc7AOFE]_]_PZYZQFb`YeADc7X9Jbh¡OJJc°FEc°FEXTUhb`?`FDQb`YeADc '³ & ¶ FEcTo7F ]T?BA^QJpUBU·b`qS!UÌ. 4.
(60) . 8794+: &<;. )- =.
(61) u¼ qTJAD]!J?`FbBYZAEcTFEPUBJHaFcb`YZQUAElbBqTJIQFPRQS_PZSTUYRU?`J]9AE?BbBJpo YZc7¼FX_PZJ´{E¥=¦7JIqTFÇ¿DJ"ADHYebWb`JoÉbBq_J UBV0HIHJbB?`YZQOAETbBqTJO]!F?GFPZPeJPeYRUWHrFEcToQAEHIHS_c_YRQFb`YeADc?`S_PZJU¥¼uq_J?`J*F?`J@b`q_JUBJOAE?`HIUAEEghSTo^CDJHIJcbGUÌ $/% ³ q_YZCEq_J?WtÃAE?Go^J?OYZc_]_S^b%b`?`FEcTUBYb`YeADc´Fbu]9AE?B6b _¶ $/%
(62) ³ q_YZCEq_J?WtÃAE?Go^J?OAES_bB]_S^b bB?GFcTUBYb`YeADcFb%]!AD?Wb _¶ $&% 4 ³ ²T?GUhbBt¢AD?`o^J?ObB?GFcTUBYb`YeADc9¶ ¡*qTJ?` J M4
(63) %K L9¥^kÀcbBS_?`c2\TF"²T?GUhbBt¢AD?`o^J?@b`?`FEcTUBYb`YeADc´QFc)X9J,F"²T?`UWbWtÃAE?Go^J?·YZc_]_S^b ³ Y ¶G\ F²T?GUWbWtÃAE?Go^J?uAES_bB]_S^b ³ Y2 ¶G\TAE?*Fc YZcDb`J?GFEQbBYZAEc ³ Y2 !¶¥ kÀc,bBq_JO?BJHaFYZcTo^J? A_b`q_J@]!F]9J?¡·J·¡·AD?B£S_],b`AFEPe]_q!F QADc0¿EJ?GUBYeADc $bBq0STUÍ Î o^Jc_AEbBJpU UBV0cDbGFEQbBYRQ Jp[STFPZYbhV´S_] b`AFPZ]_qTFaQAEc0¿EJ?`UBYZAEc2¥^¦°JUBqTFPZP¾cTAE?`HIFEPePZV)]TS^bJc_AES_CDq X_?`FDQG£EJb` U*YZc bBq_JJÈ^]_?`JU`UWYZAEc!U UBA b`AÉFÇ¿EADYZo°]_?`JQJo^JcTQJ)FEH"X_YZCESTYb`YeJpU"FHIADc_C bBq_JAE]9J?GFb`AE?GU¥ A¡·J¿EJ?\=b`AÉ?`Jo^STQJabBqTJ)c0S_H"X9J? AE,X_?GFEQG£EJb`U\$YecÁF±J¡Æ]_PRFEQJU ¡OJÉUBqTFPZPFDUBUBS_HIJ bBqTJ AEPZPZA¡*Yec_CÅUBV0cb`FEQbBYRQ ?`S_PeJpUÌuµ0S_XTUWbBYebBS_bBYZAEcTU FEcTo´HIJb`FEc_AbGFb`YeADcTUaÍ ÎIFcTo®Í ÎqTFÇ¿EJbBqTJ,q_YZCEq_JpUhb UBV0cDbGFEQbBYRQf]_?BJpQJpo^JcTQ(J $^b`q_J"FEXTUhb`?`FDQb`YeADc´FEcTo QAEcTQ?BJbBYZAEcaQADcTUWbB?`STQbGU$bBqTJ PZA¡·JpUhb $]TF?GFPZPZJPTQAEHI]!AUWYebBYZAEcaq!FEUl¡OJFE£EJ?$]_?BJpQJpo^JcTQJ*bBq!FcIbBqTJ Ab`q_J? ]T?BA^QJpUBU QADcTUhb`?BS!Qb`U¥ _AE?YZcTUhbGFcTQJE\ + , > F# 4 UWb`Fc!o_U2AD? + ³B³ ,6 ,9¶ # 4"¶G\FEcTo
(64) F# 487 : & ; UWb`FEcTo_UOAD? ³
(65) , ¶ # ³ 487 : & ; ¶¥ kà YRUuF,?`JPRFbBYZAEcAEc ]T?BA^QJpUBUBJU\¡·J¡*?BYebB J 4 bBAbBqTFb ³ 4"¶ r¥Ti AD?BJA¿EJ?\ 5 ="YZU b`q_J,QADHI]!AUWYebBYZAEc´AbBq_Jfbh¡OAI?BJPZFbBYZAEcTU FEcT o " ¥
(66) .
(67) ) ¦°J"UBqTFPZP2UWbBSTo^VX!JqTFÇ¿0YeADS_?GFP=J[S_YZ¿FPZJcTQJU*XTFDUWJpo)ADc X_YZUBYZH"S_PRFb`YeADc)AD?ubBq_J,PRFcTCESTFECEJAbBq_J}]_?`Jt ¿0YZAESTUfUBJQbBYZAEc2¥2¼ AA¿DJ?GQADHJ,bBq_JaQADS_cbBJYecbBSTYb`Ye¿DJJp[STFPZYb`YeJpUA·qTYeCDq_J?Bt¢AD?`o_J? XTYZUBYeHS_PRFbBYZAEc7JÈ_Ft HIYZc_Jo´YZc µ0JQbBYZAEc±{E\^¡OJf]_?BAD]!AUWJb`q_J)G!«Ã`ÄD« ¨ Rª©« ?BJPZFbBYZAEc´X!JPeA¡}¥ .´0Ñ /2143ª 35Õ 1 7:9W5Õ 1±EÕ 19Ñ å 4 3¬ 3 '¬ ^ 3Õ 1 `E«¬¬ XDOP OP R´Uhb`?BADc_C QAEcbBJÈ0b*UBYZH"S_PRFb`YeADcÅ )Ë 4ƪ©9¬ 09 6 $&% @«¬0BBÄDR«6 4 R« 4 $ % 4 9B 4 «¬0B¯`ÄDR«¬ R« 64 $ % =
(68) "
(69) OË°ª ! 09 5 G=B«4¬_
(70) $ % 09 5
(71) I«^B±`ÄDR«¬ N R« 4 $&% =
(72) # ·Ë°ª ¨ «¬`E«¬¬_% $/% BE«¬¬$ RIUWbB?`AEcTC)QADcDb`JÈ0bXTYZUBYeHS_PRFbBYZAEc ¨ ¬& %1('*),+à ¨ Rª©_«4¬ u -Ë 9. 0/ B «4B0,G9«¢`Ä«=ª©_E«¬¬_ 21 u }«¬0E« 4`lUWbB?`AEc_CDPeV}QADcbBJÈ0bX_YRUWYZHIYePRF? ¨ ¬3 % 4'*) +4 6Ë 4 TË,©I5 '*) +¢ ¨ RGª©_E«¬¬6 7 n%JPRFbBYZAE8c ' YRUuCEJcTJ?GFPZYZUBJo bBA FX!Uhb`?`FDQbBYZAEc!U\^QADcTQ?`Jb`YeADcTUuFcToAE]9Jc FECEJcbGU*FEUOJÈ^]9JQb`Joå¥ .´0Ñ /2143ª 35Õ 1 7W6 :9 Ga ¨ «4BE«¬¬_ = " @« '*) + " Ë
(73) '*) +
(74) " ËEª=G G=B«4¬_
(75) . . . . . . . . . . . . . - . ï H. JI K MLON. . B.
(76) :9¾ÇGIG9B«¬¬_"
(77) ) =
(78) " ¨ «¬BD«4¬T . @ «
(79) ) . ' ) +
(80) "" Ë"
(81) ' ) +
(82) "·ËEª=G. . :9¾G_¯D!«¬JH =FH " $«¬ ³ H $ H " T¶ X 7 & ; H " 7 : & ; ËEª ÇGf9BGG . $« H. '*) +8H ". Ë. H 7 : & ; '*),+. fÕlÕ9 3ª 3Õ 1 7 '*) +uR"°^ e=`"B«4¬ 7 2 'Ñ 7
(83) « / / " *' ³ > /A !/=¶ 1 }¢TGª =G«¬¬ «¬0E« I9 ""G^_ ¨ , T«Ã` 1 G0 ®«¬0E« ª9EGG J ' ) + " ;2^,«·WË"ª0_ªGWË,«¬0·Ë© ³ * ³ B7 /E: &<; ¶ B7 / : &<; ¶ $«¬ IËG G!«Ãª_,«¬0%^ª ³ "¶,9 R, ' ) + ¨ RGª©_E«¬¬ 51 } «Ã´«¬04E^©I!« 9ª9G NR)B«¬¬«Ã` ·9Bp`G8 * ³ B7 > /E: & ; ¶GT=«O_Ë© * pRG ¨ 7E«¬¬ «( ©a`` Ç lª9G pG^Gfª B7 /E: &<; ! aªÉª9_«å_Ç«4¬ ·9aª9«¢BD«4¬± G pG^ J;2^B4Ë` * «4B_«¬¬Ë * ³ B7 /: & ; ¶R"hË,«¬0·Ë© * ³ +7 > /E: & ; ¶ $&% * ³ H 7 /: & ; ¶ 9 @E a^ +79/E: & ; $ % H 7 /E: & ; 9ÇE_Ç HÊRfaG9B«4¬ *"+ 4 !4 " $« & ËGBGfª 4 =3 4 " T;20 _Ë}ª2 ¨ «4BE «4¬T% ³ *¶ 4 @}^ = * ³ H37 /E: &<; ¶ * 4
(84) 7 4 : * ; 7 /: & ; # 4 " 7 /: & ; * ³ 4 9794 : * ; # 4 " ¶ 7 /E: &<; 4 ! H 7 /E: & ; ³ 4 9794 : * ; # 4 " ¶ 7 /: & ; 4 9 ³ 4 4 ¶,`,ª µ0ADHIJ,UWYZHI]_PeJfPRFÇ¡%UOAE? ' Ì ·Ñ ± 7"! . . . . . . . . . . . . . . . . . 6 # "-' ),+ "6# # ! 6 # ³ " # $Ƕ'*) + ³ # " ¶ # $% 6 # /6'*) +& *F"0*F#H'*),+*F#*F" H ' 6 , Ë "Qa. ËG " ·«¬0 ³ *C"6 ¶ # " '*) +*" ³ #O " ¶ ( ,.4'*),+ #,. . 7. )- =.
(85) ¦°J,UBqTFPZPåSTUBJb`q_J}S_]^t¢bBAIb`JQGq_cTYZ[S_JfX9JPZA¡ AD?*JUWb`FXTPeYRUWqTYec_CIX_YRUBYeHIYZPZFE?BYebhVa?BJpUWSTPbGU¥ .´Ñ0/2143ª 35Õ 1 7 `E«¬¬ X OP * OP 7R UWbB?`AEcTC°QAEcbBJÈb)UBYZH"S_PRFb`YeADc¤S_]_t4b`A ' Ë 4 ª© =¬ 09 6 $&% @«¬0BBÄDR«6 4 R« 4 $ % 4 9B '*) + '*) +A4 ! 09 ) $&% l«^`,BÄDR«¬ R« A4 $ % =
(86) ' ),+ ' ) +
(87) _Ë,ª G=B«4¬_
(88) 09 $&%
(89) *«^``ÄDR« R« 4 $ % = %
(90) #' ) + ' ) + 9Ë ª ¨ «¬BD«4¬T% fÕ lÕ9 3ª 3Õ 1 7 ¬Ë R"a«4B0)G9«¢`Ä«ª©_e«4¬°Ç!h«Ã. ' ) + «^ X ' ) +
(91) UBJ7FÅo^YRFCD?`FEHtÃQGqTFDUWYZc_C¯F?`CESTHJcb bBA§UBq_A¡ bBq!F0b '$ ' YZU´FÅUWbB?`AEc_C§QAEcbBJÈ0b XTYZUBYeHS_PRFbBYZAEc¾¥ 7 . . . . . . . . . . . .
(92) . . ! #"$%&"' )(%*+ ,-&./!0() 213(54*6,7*689 $:; ()*. ·M ADcbBJÈ0b X_YRUBYeHS_PZFbBYZAEc®YZU ]_?BJpUWJ?B¿DJo¤X0V§FPZP%AE]9J?GFb`AE?GUAbBq_J PRFc_CDSTFCDJE¥$y U ¬F? FDUI]_?BA0AE¬UaF?`J QAEcTQJ?`c_Jo2\Eb`q_JHIAUhbuo^Y QS_PbuAEcTJ YRU·QAEc_CD?BS_JcTQJ%AE?OAEX^ghJpQbOQAEcTUWbB?`STQbBAE? ³ Y¢¥ JD¥e\ 4' 4 YZH]TPeYZJU + 4' 4+ ,¶ $_bBqTYZUQFEUBJ}YRU%UW]9JQY²9Q}AbBqTJ,q_YZCEq_J?WtÃAE?Go^J?%UBJbBbBYZc_Cab`Aa¡*q_YZQGq ADS_?%PRFc_CDSTFCDJ X9JPZAEcTCDU¥_¼¾Aao^J?BYZ¿EJbBqTYZU\_¡OJcTJJob`Aa]_?BA¿DJFaQAEc_CD?BS_JcTQJ?`JUBS_Pb*¡}¥ ?¥ b¥!UWS_X!Uhb`Yb`S^bBYZAEcTUÌ fÕ lÕ9 3ª 3Õ 1 7
(93) « " $H
(94) K L @«^= ' ) + " ª©9¬ H37 1: & ; ' ) + H37 " : & ; =µ0JJ,y%]_]9Jc!o^YÈ y,¥ 7 Ñ0Õ!ÇÑ 7 WEÕ 1 ! ¾Ñ 1 EÑÉÕ -'
(95) « 6+H 2
(96) K L H '*) +5H " ª©9¬ = *" H '*) +*" H " $H '*) +S $H " ! '*),+ " ª©9 ¬ = # 44'*) +E " # 4 . . <.
(97) . @. =?>. A. CB D. E. . $E. . . . , ' ) + ,." 1 !4 ' ) + " 4 4+ ' ) + 4+ !" ³ & ¶ ' ) + ³'& ¶". . !j@FDQGq QPRFSTUBJfQFc)JYebBq_J?OX9Jfo^J?`Ye¿DJo ?BADH>@?BAD]!AUWYebBYZAEc ~T¥ xT\0AE?OYZUuUWbB?GFYZCEqbWAD?B¡uF?GoAEc Yeb`U A¡*c¾¥ 7 Õ!Õ ' '¬ ^ÇÒ 7 9 / '*),+ " 9
(98) '*),+
(99) " ª© =
(100) '*) + "
(101) " 7 ! ' ),+ "9B ' ) + " ª©9 ' ),+ " "
(102) . F. . - . . ï H. JI K MLON. . B.
(103) . . . ;. !0() 213(. 4*6, *89 :+; (%*+. ¼ AaYZcDb`?BA^o^S!QJf¡·JpF£´QAEcb`JÈ0b*X_YZUBYZH"S_PRFb`YeADc2\_¡OJf²T?`UWb o^J²Tc_J,¡OJFE£abB?GFcTUBYebBYZAEcTU\^¡*q_J?`J Uhb`J]TU F?`J FEXTUBAE?`X!Jpoå¥å¼uqS!U YZUbBqTJa?BJ TJÈ^YZ¿EJFEcToÉbB?GFcTUBYb`Ye¿DJQPeAUWST?BJA $&"% \2FcTo HÊq_AEPRo_UYe b`q_J?`J%YRU@ U¥ b¥ FEcTo $/% H"¥ Yec!FPZPeVD\ HYRUG H Ye Fc!o H AEbBq_J?B¡*YRUBJE¥ .´0Ñ /2143ª 35Õ 1 7:9S9ÀÔ"Ñ0 EÕ 19Ñ å 3 3 ' ^ 35Õ 1 B«4¬: X OP,( OP ±R°7¡·JpF£ QAEcbBJÈ0b*UBYZH"S_PRFb`YeADc¯ Ë 4 ª©9¬ 09 Ç6 $/% @«¬0BBÄDR« 4 R« 4 4 9+ 4 ! 09 ÇG $&% «¬0BBÄDR« Ê R« 4 Â=
(104)
(105) D˪=`9B«¬¬_ . . . .
(106). . . 09Ç . . . . . $& %.
(107). . . ¾«¬0BBÄDR« R« 4. . . =%
(108) Ë EªT. ¨ «¬BD«4¬T. B«4¬ R)¡·JpF£7QAEcbBJÈ0b,X_YZUBYZH"S_PRFb`YeADc ¨ ¬3%1 *) +¢ ¨ Rª©_E«¬¬ Ë z9(0/ B @G `!«ÃBÄ«@ª©_E«¬¬_ 1 "«¬0E« 4 B¡OJF£0PZVQAEcbBJÈbX_YZUBYZHYZPRF? ¨ ¬3%1B *) + 4 )Ë 4 TËf©I ) + ¨ RGª©_E«¬¬6 Ñ ± ^ : 7 9 6 WÖ Ñ ' DÒ 1¾Ö '¬ ^Ñ74 3 3 ' _ 3Õ 1¾ kÀc b`q_J"AD?BHS_PRFbBYZAEc AEl¡·JpF£ QADcDb`JÈ0b X_YRUBYt HS_PRFbBYZAEc FEX!A¿DJE\FCEJcb`UlFE?BJ%YZHIHIJo^YRFb`JPZVb`JUWbBJpo)Fªb`J?OF}¿0YZUBYeXTPeJFEQb`YeADc ³ ?`JQFPZPTb`qTFb UWb`FEcTo_U AD? $ % ¶G¥O¼uq_YZU bB?`JFbBHIJcb)AE¡OJFE£ÅbB?GFc!UWYebBYZAEcTU YZUQGqTF?GFEQbBJ?`YRUhb`YZQA)E ¨ Rª©_«4¬!\ UWbBS!o^YeJpo´Yec M*MuµtÃPeYZ£EJfPRFc_CDSTFCDJU·Yec¯¸ ¦7JYZxD|ǽ¢¥9i AE?`JA¿DJ?p\DYZc)b`q_J}YZc_]_S^b FEcTo)ADS^bB]TS^b QPRFSTUBJUuAE Jt ²!c_Yb`YeADcÅ~_¥Z{E{Ib`q_J)JÈ0YRUWbBJcb`YZFEP@[STFcbBYe²TJ?"]_?`JQJo^JpUfbBq_JS_c_YZ¿EJ?`U`FPlADc_JE¥¼uq_YRU,YRU"QGqTFE?`FDQbBJ?BYRUWbBYRQAE e«ÃX_YRUBYeHS_PZFbBYZAEc¸ i >l¦ |Kp½¢\FEU"AE]_]9ADUBJo7bBA®` X_YRUWYZH"STPZFbBYZAEc2\ Yec¯¡*q_YRQGq±bBqTJ AE?Go^J?"AubBq_J [STFEcbBYe²TJ?GU*YRU JÈ^QGq!Fc_CDJoå¥_¦°JIUWqTFEPePUWqTA¡ YZc7µ0JpQb`YeADc 0¥Z{}bBqTFb\!AE?¡·JpF£ QAEcb`JÈ0b X_YRUWYZH"STPZFbBYZAEc2\ b`q_J}PRFbBJ}FEcTo´JF?`PZVa¿EJ?GUBYeADcTUuQAEYZcTQYZo^JD¥ ¦°JObBq_YZc_£}b`qTFbbBqTJÍBPZFbBJuo^JPRFÇV}UBQGqTJHaFEÎ%²_b`U¡OJPZPbBq_JuHaFEQGq_YZc_J?BV}AE!FXTUWbB?GFEQbBYZAEcTUFc!o"QADcTQ?`Jt b`YeADcTU$FEo_AE]^b`Joå ¥ YZ?`UWb\Yeb@¡OJPZP_o^JU`Q?`YZX!JpUbBq_J%QAEHI]_PZJHIJcb`FE?BYebhV,X9Jbh¡OJJcIFEXTUWbB?GFEQb`YeADcTUFcToQADcTQ?`Jt b`YeADcTU¥Tµ0JQAEcTo^PZVE\^Yeb UBJJHaUucTFbBS_?GFP=b`AI?BJp[DSTYe?`JbBqTFb*FEXTUWbB?GFEQb`YeADcTUuFcTo QAEcTQ?BJbBYZAEcTUuo^AIc_AEbuJ¿EADPe¿DJ ADc,b`q_JYZ?A¡*c2\XTS^b$AEc_PZV,Fªb`J?HIJJb`YecTCFQADH]TPeJHJcb`F?`V}FCDJcb¥Çy%c_AEbBq_J?$QAEHI]9JPZPeYZc_CHIAbBYZ¿Fb`YeADc AD?}AE?`H"STPZFbBYZc_C F PZFbBJ X_YRUBYeHS_PZFbBYZAEc¯FEU"F o^JPRFÇVÉX_YRUBYeHS_PZFbBYZAEc±YRUfbBqTFb"Ab`q_J?`¡*YRUWJIb`q_J ?`JUBS_Pb`YecTC ?`JPRFb`YeADc HIYeCDqDbc_AbfX9JFcÉJ[S_YZ¿ÇFEPeJcTQJ?BJPZFbBYZAEc $TbBq_YRU\!AD?YZcTUWb`FEcTQJD\!qTFE]_]9JcTUYecÉbBq_BJ =tÃQFPRQS_PZSTU ¸ µ^FEcT|E~ǽå 7 ¦°JFE£ QAEcb`JÈ0bX_YRUBYeHS_PZFbBYZAEc7YZUJÈ0b`JcTo^Jpo b`AQADcTQ?`Jb`YeADcTU\9FEXTUhb`?`FDQb`YeADcTU FEcTo AD]!Jc7FCDJcb`UYZc b`q_J U`FHIJ%¡uFÇVFDUbBq_JUhb`?BADc_C}J[S_YZ¿FPZJcTQJ ³ J²TcTYb`YeADc)~_¥KD¶ $bBq0STU\AD?·QAEcTQ?BJbBYZAEcTU
(109) FEcTo
(110) " \D¡·J q!FÇ¿EJ
(111)
(112) " Ye
(113) "
(114) " ¹AE? FEPePQPZADUBJo FXTUWbB?GFEQbBYZAEcTU I¥!¼uq_J"QAEc_CD?BSTJcTQJ?`JUBS_Peb`U AD? '"YZc®>@?BAD]!AUWYebBYZAEcÅ~T¥ ~7FcTo¤¼uq_JAD?BJH ~T¥ |°QFEcÅX9J´JÈ0bBJc!o^JoÅbBA \¡*Yb`q®F7QADH]TPeJbBJPZV FEcTFPZAECDAESTU·]_?`A0A ³ UWJJ,FPRUWAIn*JHIFE?B£y,¥v"YZc y%]_]9Jc!o^YÈ y¶¥ Ñ0Õ!ÇÑ 7 9 *),+*R"° ^ ÇE9GBe«4¬°9 RO9B ` ¨ ª¾^BE«¢GhË,«¬0! ET 7 . . . . . . . =?>. . )- =.
(115) ¦°JUBqTFEPeP9STUBJ%bBqTJ%AEPZPZA¡*Yec_C"S_]abBA"bBJpQGq_c_YR[DSTJ%bBAJUWb`FEX_PeYRUBqa¡·JpF£tÃQAEcbBJÈ0b@X_YRUWYZHIYePRF?`YbhV?`JUBS_PbGU¥ .´Ñ0/2143ª 35Õ 1 7:9 B«4¬ X OP,* YOP 7RÉ ¡·JpF£§QAEcbBJÈ0baUBYZH"S_PRFb`YeADc¤S_]_t4b`A Ë 4 ª© =¬ 09 6 @«¬0BBÄDR«6 4 R« 4 4 9B ) + ) + 4 ! 09 l«¬0B`ÄDR«% R« 4 Æ=
(116) *) + *),+
(117) " TË"ª G=B«4¬_
(118) 09 )
(119) @«¬0BBÄDR« R« A4 9
(120) *) + *) + _Ë,ª ¨ «¬`E«¬¬_% fÕ lÕ9 3ª 3Õ 1 7:9 ! Ë R, @G )G!«Ã`ÄD«$Gª©_E«¬¬7Ç9h«¢ *) +u«¬0 GX *) + 9»OV)UBq_A¡*YZc_CbBqTFb ( uYZU* F Àt¢X_YRUBYeHS_PZFbBYZAEc2¥ 7 ¦°JFE£QAEcbBJÈb*X_YRUBYeHS_PZFbBYZAEc YRUubBq_J"?BJPZFbBYZAEc´¡·J,FE?BJfHIADUWbBPZV)YZcbBJ?`JUWbBJpo´Yec2\!UWYZcTQJ}YebFEXTUhb`?`FDQbGU FÇ¡uFÇV?BADHÆUBYZPeJcDb}UWbBJ]!U AE@]_?`A0QJU`UWJpU¥!¦7JIUBqTFPZPPeA0AE£´AD?QGqTFE?`FDQb`J?`YZU`Fb`YeADcTUuAlb`q_YRUX9Jq!FÇ¿YZAEST?`FEP Jp[S_Ye¿FEPeJcTQJ,¡*qTYZQGq o^AacTAb STUBJ}b`q_J"q_JpFÇ¿0V)S_c_YZ¿EJ?`U`FP2[STFEcbBYe²!QFbBYZAEcTU*YZc Yeb`U Yec_]TS^bQPRFS!UWJ ³ [STFc^t b`Y²9QFb`YeADc)ADc)QADcTQ?`Jb`YeADcTUG¶lFcTo)YecYbGUOAES^b`]_S^b*QPRFSTUBJ ³ [DS!FcbBYe²!QFbBYZAEcAEc)FEXTUhb`?`FDQb`YeADcTUG¶¥D¦°JfUWqTFEPeP S!UWJ,UWbB?`AEc_CIQADcbBJÈ0b*X_YRUWYZH"STPZFbBYZAEc FEU*Fc FES^È^YePZYZFE?BVa?`JPRFb`YeADc2¥
(121) }(O l
Documents relatifs
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
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
