Introduçc aoaos tensores Henrique Fleming 13-11
Transcrição
Introduçc aoaos tensores Henrique Fleming 13-11
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ZT HI TG; R ?_t?M"cCH KLA-i4?EMNKt?A-=NT\S]SImTUw~TGIfW_VCOTUKLA~ik?EMNKt?A-=@TEº;>T>}>?ImÄ ?; R CIfWCATUA-=NT"; O2TsHIÅiETU=NCEM T 3EÆ ?E;<OT HI iETU=NCM R C4i4?EMNKt?A-=NT\ XCA;>KtO2TGMNTSCxWMNC2O2H=NC { R CA=@M@?[ Z O2C| R CA-=NMD?kik?EMNKt?A-=@ Ä Æ º Ä Æ µ K 4 » -yWM@C2O2H2=@C µ K 4 Ä K 4 K 4 µ Æ » K 4 µ K 4 K 4 K 4 µ Æ Ä »§Ã Ä Æ » Ä Æ k - { R CEA-=NMD?[ Z O2C-|KL;>=NC ZT c R CEI =NC2O2C-;gC-;[ Z AO2K R TG;MNTGWTU=NKtO2C;DO2THI iETU=NCEM CR i4?EMNKt?A-=NTW9CEM<HI R CEA-=NMD?ki4?M@KL?EA=@T 4 ZT HIjKLA~i4?M@KL?EA=@TE\:<;>=NTz ZT C R ?E;NCW?MN=NK R H_t?MQIJ?EKL; ;NKVIfW_LTG;O2THIJ?q=ZT R AK R ?xlTUMD?_BO2T R CA;>=NM@HKVMKLA~i4?M@KL?EA=@TG;Gº R CEA-=NMD?KLMX=NC2O2C;C-;[ Z AO2K R TG; O2THIJ?fT7w2WM@TG;@;G?F C=@TUA;NCEM@Kt?_+\ QTGMNTGIfC;CEH=NM@C;T7w2TUIfW_LC;G\ XCEA;>KtO2TUM@TCqWMNC2O2H2=@CO2THI iT7=@CEM W9CEMHI =NTUA;>CM ?; R CIqW9CEATUA-=NT";;U?EF C ÇE p-HT.f ZT HIJ?p-H?A-=NKtO?O2T R CEIy[ Z AO2K R TG;G\?EF CzT";u=@HO?EIqC-;TG;@;@?E;p-H?A-=NKtO?O2TG;Gc^IJ?E; ;G?F C=@TUA;NCEM@TG;O2T*=NTUM R TGKVMD?CM@OTUI\h CM@O2TGI * ZT O?O?W9TU_LCqA*HZ IfTUM@CsO2Tf[ Z AO2K R T";U\QhSlCEMD? 87 ( i4?IfC; R CEA-=NMD?KLM · C-;[ Z AOK R TG; (T \)5TUIfC;TGA-=G?F CJ?;p-H?EA-=NKtO?EO2T"; D ?kiTUAO2Cc ZT R _L?EMNCcEHIJ?;NCEIJ?;NCEnM@TC; Q\Q CKL;Qn9TUIc~TG;@;@?E;Qp-H?A-=@KLO?O2TG;X;U?EF CcE?ElECM@?c R CIfWCATUA-=NT";fO2THI iETU=NCM R C4i4?M@KL?EA=@T.¹*TzY?4=@CC_LTUKV=NCMJWC2O2TWM@C4i4?MqKL;@;NCcdCH TUA-="?F CxC_V?MO?T7Yu\t>V7e>7c2Cqp-HTO2TU=NTUM@IfKVA?s?sA?4=@HM@TU`G?=NTGA;>CMNKt?_5O?qp-H?A-=NKtO?O2TZT CAHZ IqTGMNCzO2Tz[ Z AOK R TG;SA^?F C R CA=@M@?[ Z O2C; \h ;@;>KLIc x ZT HI KLA~i4?M@KL?EA=@TEc9WCKL;*A&?EF C =NTGI ATGA~HIy[ Z AOK R TA^?F C R CEA-=@M@?[ Z OC\ %$ ) ' " $3+- ® T>}>?qÄ HI ($%*!" R CEA4}uHA=@CJO2TA*HZ IfTUM@C;=D?Kt;p-HT Ä Æ ;NTu}>?HIyKVA~i4?M@Kt?A-=NTc^W?EM@?iT7=NCMNT"; R C4i4?M@Kt?A-=NT";Æ ?M@nK=@MEZ? MNKLC;G\g:<A="?F CÄ J ZT HI =NTGA;NCEMO2H?;iETU`GTG; R CA-=NMD?kik?EMNKt?A-=@TE\^¹*TY?4=@Cc;NTu}>?IªÄ ?; R CEIfW9CEATGA-=NTG;OTÄ A? AC4i4?sn?E;NTE\d:<A="?F Cc R CEIfCJ?qT7w2WM@TG;@;U?EF C ZT KLA-i4?EMNKt?A-=NTc~=NTGIqC-; Æ ?;Æ » Ä Æ µ Æ µ » Æ µ c R CEI Ä Æ Æ D HIf?fTUw2WMNT";N;G?F Cq?ASEZ? _VCl?sW?MD?qÆ Ä Æ µ Æ µ » Ä Ä K 4 _LCElECc Ä » µ K 4 K 4 K 4 µ K 4 µ K 4 K 4 µ K 4 Æ µ Æ µ \ ® TGlEHTp-HT D < 7 TKt;u=@CrWMNC4i4??AC-;N;@?=NTG;NTE\ hSA?_LCEl?EIfTUA-=NTcX;NT Ä ;G?F C(=@?EKL;gpHTEcW?MD?iETU=NCMNT"; Æ ?EMNnKV=NM9Z? M@KLC;Gc~Ä Æ Æ ZT KLA~i4?M@KL?EA=@TEcTGA-=G?F CÄ ZT HI =@TUA;NCEM OH?E; iETU`GTG; R CEA2a =NMD?ki4?M@KL?EA-=NTE\ XCEM@CE_"Z? M@KLCº ZT HI =NTUA;>CMSO2H?E;iTU`GTG; R C4i4?EMNKt?A-=NT\¹*TY?4=@Cc " < » 4 4 ZT HI KLA~i4?M@KL?EA=@TSW?EM@?p-H?E_Lp-HTGM 4 . \ -§=NTGA;NCEM ZT O2T*lEMD?AOTSKVIfW9CEMN= ?E A R Kt?c-WTG_VC p-HT;>T;NTUlHTE\ ® T>}>?fÄ HI iT7=NCM R CEA-=@M@?ki4?M@Kt?A-=NTc T R CA;NKLO2TGMNT?qT7w2WM@TG;@;G?F C Æ XCEIfC Ä » <E µ µ E » µ ` MZ^GVXC u FIOP:QLC [_^eY%MNFIO HXVXW ^FIOQ"` FIVXWGUGFcEGVX[_M u ARC IF HXQLC]FIg [GPeFlSB[_WYZMZFSf FIg [lUGQh` WGUGVXSBQBO WG[_C\Q Qo Q"` UGQBWG[_C\VXWFIUGF _PGq^GQ"q^GQBMzUGVX|BQBb Mq:^GFIHXq:^GQBM SB[_VXONFlSB[_C\[ ! a K 4 K 4 K 4 K 4 E < T Ä K 4 =NTGIqa;NT Æ K 4 K 4 µ K 4 » K 4 µ K 4 à <- µ µ K 4 µ K 4 Ä µ µ K 4 µ K 4 » µ K 4 » K 4 » µ µ K 4 Ä µ Ä µ Ä µ Æ µ Kt;u=@C ZT c<Æ z ZT HI iT7=@CEM R C4i4?M@Kt?A-=NTcdpHTOTUW9TUAO2T;( ZC OTÄ TO2C(=NTGA;NCEMfI.7ZT =@MNK R C\ CEMKt;N;NCc ?EO2CE=@?4ab;NTq? R CEA~iETGAQR P ?EF CO2TJH;@?MW?MD?gT";u=@TJW?MN=NK R H_t?MÆ ?zAC=D?BR P ?EF CzÄ \ XCEA R _LH;U?EF CºzH;@?AO2Cr?IUZT =NM@K R ?c<?;N;NC R Kt?4ab;>T? R ?EO?iT7=@CEM R CA=@M@?ki4?EMNKt?A-=NTzÄ HI HZ AK R CiT7=NCM R C4i4?M@KL?EA-=NTXÄ \¹*TUKVw?4ab;>Tc4TUA-=G?EF Ccp-H?EAO2CS Z? HIJ?I.7ZT =NM@K R ?c4O2TY?E_L?EM TUI {>iT7=@CEM R CEA-=NMD?ki4?M@KL?EA-=NTG|CH {>iT7=@CEM R C4i4?M@KL?EA-=NTG|cW?EM@?Y?_t?M;>KLIfW_VT";>IfTGA=@TOT*iT7=NCMGc p-HT=NTGI R CIfWCATUA-=NT"; R C4i4?M@Kt?A-=NT";XT R CEIfWCATUA-=@TG; R CA-=NMD?kik?EMNKt?A-=@TG;G\h CEW9TUMD?BR P ?F C » K 4 Ä {>n?KVw2?|C[ Z AO2K R TO2TÄ \ Ä » <ÇE 5TUCEM@TUIJ? ºfHIJ?T"p-H?BR P ? F C » 7cCAO2Tg?; R CEIfWCATUA-=@TG;x;G?F C TUI MNTG_L?&R P ?EF C? HI n ?;>Tx¯cKVIfW_LK R ?Jp-HTEcTUIÅp-H?_tp-HTUMSCH2=NMD?qn?E;NTx¯ µ c;NT=NTGA? » 7\\-*H;>T>}>?cC =NTGA;NCEMQp-HT<=@TUI =NC2O?E; ?; R CEIfW9CEATGA=@TG;A~H_t?E;TUI HIf?n?;>Tc?E;=NTGI A~H_t?E; TUI =NC2O?E; ?E;n?;>T";U\Qh O2TGIfCEA;>=NMD?BR P ?F Cr* ZT =@MNKLi~KL?E_$c2?qW?EM>=@KVMSO?;XYEZC M@IxH_t?E;O2T=@M@?EA;uYeCMNIJ?&R P ?F CqO?E; CR IfWCATUA-=NT";U\ SC R ?E;NC O2CTG;NW?BR P CTUH R _VKtO2T"?AC(4abO2KVIfTGA;>KLCEA?_ R E C I R C~CEMDO2TGA?EO?; R ?EM>=@TG;NKL?EA?E;CM>a =NClECA?Kt;Uc < » 4 ! 4 ! 4 · Kt;u=@CrZT c-TGI R C~CEMDO2TGA?EO?; R ?MN=NTG;NKt?A?; ³ ½ »§Ã ³ ½ \d¹ T"; R MNTGiETGAO2CCqIfTG;NIqCqTG;NW?&R P C R CEI R C~CM@O2TGA?EO?E;XTG;>Y"UZT M@K R ?E; » » 4 T R ?IJ?AO2C 4 4 · 8 ;>KLA 8 R C-; R C-; ;>KLA <;NKVA 8 » 8 97c2ATG;@;@?xCM@O2TGIc-O2TJ 4 4 4 À9 » K 4 K 4 " ³ À K 4 K 4 9 ½ · 7c~=NTUIfC-;Uc R CIfC ³½ ZT HI=NTGA;>CMGc ³½ ³ K 4 » / » K 4 À à ³½ · ³ K 4 ³ À K 4 ³ K 4 K 4 9 -*n2=@KViTUIfC;Gc5TUA-=G?EF Cc5HIJ?YZC MNIsH_t?W?EM@? R ? _ R H _L?EM C=NTUA;>CM*IUZT =NM@K R CgW?EM@?p-H?EKL;@p-HTUM C MDO2TGA?EO?; R ?MN=NTG;NKt?A?;U\Q?MD? R C~CEMDO2TUa R CMNMDO2TGA?EO?;Uc-?W?EM>=@KVMO2T;>TGH;Xik?E_VCMNT";<TGI R C~E A?O?E;TG;>YkGZT MNK R ?;Uc K 4 K 4 · K 4 · K 4 K 4 K 4 < ! ! » K K K K K K CEH;NTu}>?c 4 4 CEMHI » >; KLA R C; R EZ? _ R H_VCf?A Z? _LCElEC R TGl?4ab;NT*? 9 I :dA-="?F CqC I I>@H I 9 ?A@ C TUI 4 ! ;>KLA d;NKLA 8 » 4 ! 4 C ; R » < < 8 » ·@· 4 ;NKLA < 7 R C~CEMDO2TUA?O?E;T";uYkGZT MNK R ?;JZT 8l!n8 c !n8 » ;NKVA <" XCEA;>KtO2TUM@TUIfC-;?;=NMD?A;>YeCEM@IJ?BR P CEF TG;X_LKVAT"?M@TG;CIqCl GT ATG?;Xp-HTIJ?EA= UT IKLA~i4?M@KL?EA=@T? O2Kt;u= ? A R KL?qTGH R _LKLOTG?A? 4 » 4 c! 4 c! ! ZT p-HT R CEKt;N?f?qACE=@?M »và \d:<I R CA;>T"pH TU A 4 » 4 »và 4 » 4 4 h WM@KVIfTGKVMD? 4 » 4 4 <E R Kt?gc <E CEH;NTu}>?c"?; R CEIfW9CEATGA-=NTG; R CEA-=@M@?ki4?M@Kt?A-=NT";T<?; R C4i4?M@Kt?A-=NT"; R CEKLA R KLO2TGI\ TG;>=NM@KLAlEKLAO2CEa AC-;X?EWTGA?E;X?n?;>T";<CM>=@CEACMNIJ?Kt;Gc4=NTGIqC-;X?EKVAO?xp-HT µ c~CHg;>T>}>?c~?E; R CIqW9Ca » ATGA=@TG; O2C*=NTGA;>CM I.7ZT =NM@K R C ;G?F C;>TGIfWMNT?E;IfTG;NIJ?E;Gc4TUI p- H?E_Lp-HTG Mn?;>TeCM>=@CEACMNIJ?E_t7\ CEMCH2=NM@Cs_t?EOCc?sYEZC M@IxH_t?qlETGM@?E_5OT=NMD?A;>YeCEM@IJ?BR P ?EF CsO2T";N;@?E; R CEIfWCATUA-=@TG;ZT º CEAO2TSC; ¼ ;G?F CC-; R C-T W?EM@?sCfCEH2 =@MNCc2KL;>=NCZT º h » µ ¼ ¼ O ?; R C-CM@OTUA?O?E;dOT HI R KLTUA-=@TG;O2TS=@M@?EA;uYeCMNIJ?&R P ?F C 4 »§¼ :<p9\tE-<WC2O2TTGA="?F CJ;NTUMTG; R @M KV=@? 4 G ;NKL;>=NTGIJ? <ÇE à »và ¼ ¼ »Á¼ ¼ »§¼ <- " ¼ < CEH?KLAO? =¼ ¼ » p-HTp-HTUMSO2KL`UTGMSp-HT =~ ¼ ¼ à » < < ¼ ¼f» x Z? ?kiB[ Z ?IfC;&CEn2=@KLO2C R CIfC IJ?4=@MNKL`UT";U\^hIJ?4=@MNKL` ¼ ZT c4TUA-=G?EF CckCEMN=NClECA?_+cGM@TG;NH_V=@?O2C p-HT}S ?A-=@TUM@KVCMNIfTUA-=@TEc2O2TCEH2=@M@?sYeCMNIJ?\ = Q¤¥© o¤¨ ¦ s «S©Å£« Q« ¥ ]SI I>BLI>@H T HI W9CEA-=@CACxT";>W?BR P CEa$=@TUIfW9CcEKt;>=NCZT c?E_VlHIJ? R CKL;@?p-HT ? R CEA-=@T R T TUI HI W9CEA-=NCf 4 k ^TUI HI KLA;>=@?EA=@T \d-TG;NW?&R P Ca+=NTGIfWCO2T KVAECS;-KQ ZT C R CA4}uHA-=NC O2C-;*TGiETGA=@C;Gc R ?MD? R =NTGMNKL`G?O2C;W9CEM;NH?; R C-CM@OTUA?O?E;*TG;NW? R KL?EKL;*IJ?Kt;? R C-CM@OTUA?O? Z? C*KVA;u=D?A-=NTXTUI p-HT<CTUiTUA-=NC C R CEM@MNT\^h ;=@M@?EA;uYeCMNIJ?&R P CEF T";&O2T &CEM@TUA-=@` 4 » cp-HTOS ;G?F CJ=@M@?EA;uYeCMNIJ?&R P CEF T";TUA-=NM@TIfTUIsnM@C; OTsHIJ? R _L?;N;NTT";>W9T R KL?E_O2TsMNTUYeTUM@TUA R KL?EKL;*O2TG;@;NT TG;NW?&R P Cc~C-;MNTUYeTUM@TUA R KL?EKL;KLATUM R Kt?Kt;U\ FIq^GV EFIMNFdUGVJFIWYZQ2^GONFIM%QLC\[_OkF.O%Q ^eVXWY%QoSB[_WKQBW4S_f FIg [\UGQzWG[IYZFSf FIg [ ` WGUGVXSBQBO MZQ [_O P:SL[_C\[4P P QxYZS_PGY%QBMFIg [lKIFIHX[_MZQBO P _P !eP " $# a` WGUGVXSBQBO HJFb YZVXWG[_O PGSB[_C\[&%%P('P:QxYZS_PGY%QBMFIg [hK_FIHX[_a M%QBO _P !eb P " xb u) OZOZVXC]P *(+,* +- *(./* .10 * @ * @ 0 * * 0 * * QBWGq^FIWY%[q:^eQ *323* 2 - * @ * @ 0 * * 0 * * ¹ T AKNR P ?EF C ºd?;=NMD?A;>YeCEM@IJ?BR P CEF TG;O2T&CMNTGA-=N`;U?EF Cq?;=NMD?A;>YeCEM@IJ?BR P CF TG;X_VKLAT"?M@TG;Ca IfCEl UT AT"?E;p-HTIf?EA-= GT I KVA~i4?M@Kt?A-=NT?qT7w2WM@TG;@;U?EF C » 4 4 4 4 · < :dI If?EKVCMSO2T7=D?_LTEº R CEA;NKtO2TUM@T*HIªO2TU=NTUM@IfKVA?EO2CfTUiTUA-=NCc2i~KL;>=NCfW9CEMHIªCEn;NTUM@i4?EO2CM ACfM@T7YeTUM@TUA R Kt?_5KVATUM R Kt?_^¯.T=@?IsnGZT IWCMCEH2=@MNCfCEn;>TGMNi4?EOCEM"cACJM@T7YeTGMNTGA R Kt?_5KLATUM R Kt?_ ¯ µ \ -yCEn;NTUM@i4?EO2CMgTGI ¯?4=@MNKLnHK?CTUiTUA-=NC ?E; R C~CM@O2TGA?EO?E; 4 4 4 4 · c TUApH?A-=NCp-HTfCzCH2=NM@C?4=@MNKLnHKd?ECIfTG;NIfCTUiETGA-=NC 4 4 4 4 · \hj=@TUCEM@Kt?O? M@TU_t?4=NKLi~KLO?EO2TAC;OKV`p-HT 4 4 4 4 4 · » 4 4 4 · u 7 7- :<; R @M TUiTUAOCxA?sYeCEM@IJ?qH;>H?_+c2=NTGIqC-; 4 CEAO2T =@TUIªC;i4?_LCEM@TG; 4 » 4 4 » »Á¼ 4 4 4 u 7 k u 7 N· · » =NC2O?;*?;O2TUIJ?Kt; R CIqW9CEATUA-=NT";*;NTUAOCA~H_t?E;G\h ;*=NMD?A;>YeCEM@IJ?BR P CEF TG;*O2T & CEM@TUA-=@`s;G? F Cc TUA-="?F Cc-=@M@?EA;uYeCMNIJ?&R P CEF T";O2Cq=NKLWC » 4 p-HT;N?=NKt;uY?E`UTGI » ? R CEAO2K>R P ?F Cu 7 k\ U u E 7 - ( +-1 !"66 # )&($ $%,+ X?EIf?a;NT E) \ 5^MD?4=D?4ab;>TO?s=NMD?A;uYeCMNIJ?BR P ?F CfO2T &CMNTGA-=N`O2THI ;>Kt;u=@TUIJ?fO2TM@T7YeTUM TG A R Kt? ¯ W?EM@?HImCEH2=@MNCc5¯ µ cBp-HT=@TUImC-; TGKw2C; TG;NW? R KL?EKL; W?MD?J_LTU_LC;?C-; O2TJ¯c=NTUImHIf? iETG_VC R KLO?O2TMNTG_L?=NKLi4?eTUIÅM@TU_t?BR P ?F Cf?g¯dO2TI-ZC O2H_LC c9?CJ_LCEAlCJO?O2KLMNTR P ?EF CqW9C;NKV=NKLik? O2C-; TUKVw~C-; cETX=D?_p-HT?;NTUlEHKVA-=NT R CEAO2KNR P ?EF C;>TiETGMNK R ?º&ACKLA;>=@?A-=@T » 7?E; CEM@KLlETUA; O2C-;dO2CEKt;d;NKL;>=NTGIJ?E;dO2T TUKVw~C-; R CKVA R KtO2TUIcET ATG;>=NTSTGiETGA=@CJ? R CEKLA R KtO TG A R Kt?TG;NW? R KL?E_O?E; CEM@KLlETUA;Uc µ » 7=@?EIxnUZT I\q:X;u=D?vf ZT ?=@M@?EA;uYeCMNIJ?&R P ?F CO2T &CMNTGA=@`sIJ?EKL;;NKVIfW_LTG;p-HT A&?EF C. ZT =NM@KVi~Kt?_&ATGI ;NTM@TGO2H`?fHIf?IqTGM@?qM@C=D?BR P ?EF C\XCIqC ZT n9TUI R CAT R KtO2CcTG_L?ZT O?O?qWCMGº CEAO2T » cT z» » 4 » 4 4 · » ! 4 » ¼ ¼ ¼ ¼ u 7 - 4 · u 7E »§¼ 4 » » » » uG- uU~ =NC2O2C-;C;CH2=NM@C; R C~T R KLTUA-=NT";;>TGAO2CfA~H_LC;G\ $ u 7 - u 7 - » u87- » ¼ ·· $3+-$% u 7 Ç ¼ ! 4 W9CEMN=@?A-=@C %$ 4 4 u 7 ~ \ CEM@If?E_VIfTGA=@TEc~=@TUIfC; 4 ( 4 4 uEk u" #" +:$ $%'($%*!" +:$ * QT7=@CEM@TG;ACTG;NW?BR P Ca+=NTGIqW9CckCHsEa+iT7=NCMNT";UcG= UT I R CIfCf?; R C~CEMDO2TUA?EO?;Uc~Kt;[email protected] ºd5 ]SI =NTGA;>CM O2T ;NTUlHAO? =NMD?A;uYeCMNIJ?AO2Cab;>T R CIqC ;NH?E; R CIfWCATUA-=NT";=NMD?A;>YeCEM@IJ?AO2CEa;NT Ea+iT7=NCM;NT=NKLiETGMNIfC-; ZT HI 5 5 »Á¼ u"Ç CEMDO2TGIoACvTG;NW?&R P Ca+=NTGIfWC »Á¼ ¼ =NTGI ;NH?; R CEIfW9CEATGA-=NTG; u8- O?EOC;? R KVIJ?\ $ ^C\QBHX{G[_MLPQB^SZ{FIC\[ FIg [.C\QzHXQBC&%eMZ["OZQz[cWe[_C\Q Q2` QBOYZQ!ADCmY%[:UG[c[cSLFIO%[GPe[dYZQBM%C\[dY:QB` SBWGVXSB[ Q2` [dO%Q b ^eVXWY%Q DO%'^ % b MZ^eE [.EGMG[_` EGMZVX[dQ2[_MY[_` SBM%[_WG[lUG[ b MZ^eE [.UGQ)( [_MZQBWYZ|z{G[_C\[ b QB} WGQB[ uR~ VXMNFIC]P Qz` C\QLHX{e[_M Y%MNFIWGO[_M%CFSf FIg [cQBOZEQBSLVJFIH<UGQ( [_MZQBWYZ| u R CI C; ¼ "Ç : « 7« q¥« U© Q«U¤ 7© ¤ o¤ - TG_VTU=NM@CEIJ?lAT7=@KL;NIfC R CIqC R CA R TGnKtO2C*W9CEM ?w XTG_V_-WC2O2TGMNKt?;>TGM OTG; R M@K=@C*?E;@;NKVIº&AC ;NKL;>=NTGIf?xO2TSM@T7YeTUM TG A R Kt?TG;NWT R Kt?_TGIpHTSCUZT =NTUM<TG;>= Z? TGI M@TUW9CEH;>CcEi4?_LTUI ?E;<TGp-H?BR P CEF T"; O2 T ?4w XTG_V_+\S:dIÅCH2=NM@C;S;NKt;u=@TUIJ?E;Gc;g ZC ¹*TUH;;N?EnT\*XCEIfW_LT7=D?M Ts_VTU=NM@CEIJ?lAT7=@KL;NIfC T7w2KLlEKt?c TUA-="?F CcQO2KL`UTGM R CEIfC;G?F C?;xT"pH?BR P CF TG;OT ?w XTG_V_XTUI CEH2=@MNC-;x;NKL;>=NTGIJ?E;KLA2a TUM R Kt?Kt;GcdCEH&cXTGp-HKLi4?_LTUA-=NTGIqTGA-=NTEcO?EOC;qC; R ?EIfWC-;sTG_VTU=NM@CEIJ?lAUZT =NK R C;xAC {N;NKL;>=NTGIJ? O2C UZT =NTGM@|c^O2T7=@TUM@IfKVASZ? a+_LC;TGICH2=NM@C;;NKt;u=@TUIJ?E;G\:X;u=@TfYeCEKdCWMNCn_VTGIJ?z?EnCM@O?EO2CreT M@TG;NCE_Li-KtO2C~xW9CEM:dKLA;u=@TUKLAvTUI 8 7Ç2\¿ CEMJKt;N;NC ;>TGH =NMD?n?E_VC ;NT R ?EIf?ki4 ? k E I C E 4 I B8? I>@H 4\ d?IfC;sM@TG;NCE_LiETUMxTG;>=NTgWMNCn_VTGIJ?A&?EF C I9 I HE e ?A@C ? ? C ?rIJ?ATUKLM@? OT:dKLA;>=NTGKVA&cp-HT?EKVAO?rA&?F C R CEAT R KL?rC R CA R TGK[email protected]=NTUA;>CMNT";UcIJ?E; ?IJ?ATGKVMD?rO2T KLA C S; ~K+c?=NMD?ki<GZT ;fO2THIJ?(YeCMNIsH_L?&R P ?EF C(EaOKVIfTUA;>KLCEA?E_$ \ d?IfC; ;NHn;>=NKV=NHKLMxC-;iETU=NCMNT";4abO2KLIqTGA;NKVCA?Kt;O2T ?4w XTG_V_XWCMxEa+iT7=NCMNT";TgEa$=@TUA;NCEM@TG;O2T ;NTUlEHAO?sCEMDO2TUI\ $ /!" # 4' & " ),+ '&(&$ / h T"pH?BR P E ? F CO? R CEA-=NKLA~HKLO?EO2T(x ZT AC;@;N?fiTU_L? R C AT R KtO?\ ?_VKLAlEH?lETGI TU_t?f;>TT"; R NM TGiET K ! ± » 7 K =@M@?O2K R KVCA?_ uLE d?IfC-;KVA-=NM@C2O2H`GKVMS?f;NTUlEHKVA-=NTp-H?EA=@KLO?EO2TcO2T R CEIfW9CEATGA-=NTG;Gº ~± u8- p-HTx;NKVlAK R ?JCz;>TGlEHKLA-=NTº?; R CEIfWCATUA-=@TG; OT ;U?EF C » c » c » fT · » \gXCEImTG;@;@?gACE=@?&R P ?F C(c^?zTGp-H?&R P ?EF CzO? R CA-=NKLA-HKLO?O2TfWC2O2TJ;NTUMTUw~WMNT";N;@?gO2T HIJ?sYeCEM@IJ? R CEIfW? R =@?º K K 4 K » » K ! K4 ! K 4 K ! ± ± K K K 4 ! K K 4 · · u8- ukG7- _LCElECc2?sT"p-H?BR P ?F CfO? R CA=@KVA~HKtO?O2T*W9C2O2T;NTUMTG; R M@KV=@? K K 4 » 7 uk2k ?;s Z? IsHK=@CIf?EKL;fO2Cp-HT R CEIfC2O2Kt;>IfC(AKt;N;NC\tÅ - WMEZC w2KVIfC(W?E;@;>C zZT C(;NTUlHKVA-=@T FH%=>9 C º ZT HI aiET7=@CEM"\<SCJIfCIqTGA-=NCJTUIÅp-HTO2KLlECJKt;u=@Cc9?J:<p9\L>""?EOp-HKLM@T HIÅ;>KLlEAK R ?EO2CJIsHKV=NCgIJ?EKVCMGcW9CEKt;Gc9;NT ZT HIÅaiETU=NCEM"c ½ ZT HI KLA~i4?M@KL?EA=@TeCH TG; R ?E_L?EMD7c&T?TGp-H?&R P ?EF C>""O2KL`gp-HTJHIyTG; R ?_t?MJ ZT KLlEH?_d?`UTGMNCA~HIy;>Kt;>=NTUIJ?O2T M@T7YeTUM TG A R Kt?\%^CElCc ZT KLlEH?_?`GTUM@CTUIjp-H?E_Lp-HTGM<;NKL;>=NTGIf?OTSMNTUYeTUM TU A R Kt?sKVATGM R KL?E_$cnTGI TUA-=@TUAO2KtO2C~\ -*Hr;NTu}>?c ;NHWCMp-HT f ZT HIyaiETU=NCMJ ZT HIlEMD?AO2TfW?E;@;>Cc R TGKVCO2T Z HIªW?_LWK=@TeTGIxn9CEMD?q=NTUA?JCJACIqT CR A;NTGp H TG A R Kt?E;G\d CEMSp-HT ZT HI aiETU=NCEM :Á W9CEIfWC-;>CO2TW9C;>=NH_t?EOC-\ d?IfC-; iETUMd;NTOZ? R TGM>=@C\ ® T=NC2O?;Q?E; R CA;NTGp-H TG A R Kt?E;O2TG;@;NT 8 W?E_VWKV=NTYeCMNTGI iETGM@O?EO2T";O?qA?4=@HMNTG`G?c2CJW?_LWKV=NTTG;>=f Z? ?EWCKL?O2CfWTG_L?fTUw~W9TUM@K TU A R KL?\ : Z ?E;@;NKVI p-HT;NTY?` R K TG A R Kt?4\ ® HW9CEA?IfC;p-HT ;NTu}>?c2IfTG;NIqCcHI Ea+iT7=@CEM"\:<A="?F Cc ukE Q?MD?x?s=@M@?EA;uYeCMNIJ?&R P ?F CsTG;NWT R Kt?_&O2T ^CEM@TUA-=N`c~=NTGMNTGIqC-; »Á¼ »Á¼ ! ¼ 5CEIfTUIfC;x?Ep-HTU_LTW?EM>=@K R H_t?M c TUI ¯c p-HT=@TUI ?YeCEM@IJ? HIJ? R ?EMNl-?xTGI M@TUW9CEH;NCsTGI ¯\Q:<A="?F Cc2ACJ;>Kt;u=@TUIJ?J¯ µ c 5TUIfC;?EKVAO?q? R CEIfWCATUA-=@T » ¼ » ¼ µ ~µ » uk- 77cCH ;>T>}>?c uk4~ ukEÇ ukG- » ¼ » » » 1 µ uk E ukG- ukG- u" 7 -§MNT";>H_=D?EO2CY?E` ;NTUA-=NKtO2Cc-W9CEKt;dCxCn;NTUM@ik?O2CEMQ_LKLl?EOC?s¯ µ i TS HIJ? R ?EMNl-?;>T IqC4iTUAOC R CI iETG_VC R KLO?O2T TEcW9TU_LC R EZ? _ R H_VCJ?EA=@TUM@KVCMGc R CEI HIJ?JO2TGA;NKLO?O2TO2T R ?EMNl-? µ \ ]SIJ? R CEA;NTGpH TG A R Kt?KLIfWCM>=D?A-=NT( ZT pHT? R ?M@l? ZT HI KVA~i4?M@Kt?A-=NT\d¹ TY?=NCcWTG_L? CR A-=NMD?BR P ?EF C*O2T(^CEM@TUA-=N`;@?n9TUIfC;Qp-HTHI iEC_VHIqT5 W?EM@?*CCEn;>TGMNi4?EOCEMTUI ¯ ZT i~Kt;u=@C 5 \d:dA-=G?EF Cc-=NTGIfC; W9TU_LCqCn;NTUM@ik?O2CEMTGIª¯ µ R CEIfC5 µ » µ 5 µ » 5 » 5 u"k T? R ?M@l? ZT HI KLA~i4?M@KL?EA=@TE\Q]SIªnCI=NT";u=@TT7w2W9TUM@KVIfTUA-=D?_&O?qKLA-i4?EMNK ? A R KL?qO? R ?EMNl-? f ZT C;>TGlEHKLA-=NTEº R CEA;NKLOTUM@TqHI C R CIxHIO2TfKVA;>=@?E_L?&R P ?EF CTG_7UZT =NM@K R ?\f:d_LT.s ZT ATUH2=@MNCc?E; R ?EMNl-?E;QATUl?=NKLi4?E;XT7w?4=D?IfTUA-=NT R CIqW9TUA;N?EAO2Cs?; R ?M@l?;dW9C;NK=@KVi4?E;G\Qh p-HTR P CxCC\ h AC4i4?*=NTGIqW9TUMD?4=@HMD?cEC-;QTU_UUZT =NM@CEA;=NTGMG?EF Cl?ACIxHKV=NCIJ?EKL;QiTU_LC R KtO?EO2TO2Cp-HT C;[ Z CEA; W9C;NK=@KViC;WCKL;q?TUATGMNlKL? R KVA7ZT =@K R ?I.GZT O2Kt?¿J ZT KLlEH?E_<W?EM@?C-;xO2CKL;GcT?E;If?;N;@?E;x;U?EF C IxHK=@COKYeTGMNTGA=@TG;D\ SCTUA-=D?A-=NCc4C C R CEA-=NKLA~H?*ATUH2=@MNCcIfC;>=NMD?AOC*p-HT?KVlH?_tO?EOT O?; R ?M@l?; R CEA-=NKLA~H?f?f;>TGMiETUM@K R ?O?\ %$ & " 82)$3+- *+-$% " ' XCEA;>KtO2TUM@T?lECM@?s?Jp-H?A-=NKtO?O2T u" ı ^GV YZ[ VXWYZQBMZQBO%ONFIWYZQ_P WGQBOYZQ]SB[_WYZQxpYZ[GPzFYZQB[_M%VJF UF SBVwQL} WeSLVJFUGQ:VXM"FIMZH 4[_EGEQBM u FIMNFQBO%Y%Q VXHX^GOYZM%Q HL[_` OZ[I[][SQB` MZQ %GMZ[ Q\` ^eCF dq^GQUGQxKQBCTOZQBM.SL[_W:M%[_WYZFIUFIOhSB[_C F QxpeEQBMZVQB} WGSBVJF u FIMNFcQBHXQ"VXOYZ[0Qd` FcQLO%OLQB} WGSBVJFlUGQoY%[UG[FIEGMZQBWGUeVX|FIUe[GPW<FIg [\O[c` UFlSBVwQB} WGSBVJF u Ä L CEAO2T s ZT CgW9C=NTGA R Kt?_TG; R E ? _L?EMST Ä ± s ZT CgW9C=NTGA R Kt?_iETU=NCMG\] ;@?AO2C?gO2TAKNR P ?F CzO?EO? ? R KVIJ?fO2T W9C2O2TUIfC;STG; R @M TUiETGM?;TGp-H?&R P CEF T";W?MD?qC;W9C=NTGA R Kt?Kt;?E;@;NKVI 3 ± Ä K K K ?;CqCWTGM@?O2CEMO2KVYeTUM@TUA R Kt?_ ± ± Ä K 4 u"E- KLA~ik?EMNKt?A-=@TEc2W9CEKt; » » ZT HI K 4 K K 4 u"~ CEAO2TsH;N?EIqC-;UcBW9TU_t?zWM@KVIfTUKLMD?iETG`Ec&C=NTGA;NCEM c^p-HT s ZT CWM9EZC WM@KLC=NTGA;NCEMI.7ZT =@MNK R Cc IJ?E;<T7w2WM@TG;@;>CTGIj=@TUM@IfC;<OT ;>H?E; R CEIfW9CEATGA=@TG; R CEA-=@M@?ki4?M@Kt?A-=NT";U\ : Z R C;>=NHIqT H;N?EM>a ;NT?AC=D?BR P ?EF C W?EM@? CCWTGM@?O2CEM ± cp-HT=@TUI =D?IsnUZT I HI ACEIfTEº 9 I I EFH?CD@ 4\d:<A="?F CJ?qTGp-H?&R P ?F CqW?EM@?sC;W9C=@TUA R KL?EKL;l R ? Ä » u"Ç ?; J ZT HI aiET7=@CEM"c^_LCElC Ä =@?IsnGZT I ZT \XCIfCc ?_7UZT IyO2KL;@;NCc g ZT HIKLA2a i4?M@KL?EA-=NTEcB;NTUlHTsO2Tu"ÇSp-HTfÄ =D?IxnUZT I s ZT HImaiETU=NCEM"\z Z? ?KLAO?HIJ? R CEKt;N?? ;NTUMSO2TGIqCA;>=NMD?EO?ºd?fTGp9\L>G-ÇEW?EM@?qC;W9C=@TUA R KLE ? KL; ;ZC ZT T"pHKVi4?_LTUA-=@T ?E;T"pH?BR P CF TG;O2T ?w TU_L_&;NT? R CEAO2KNR P ?EF CqOT &CEM@TUA`Ec Ä ± ! KK ± u" - 7 » YeCEM;N?=NKt;uYeTGK=D?\*XCIqC?JTGp9\tuG-ÇEWM@T R KL;@?;NTUM*iETUMDO?O2TUKLM@?qTGI =@C~OC;*C;M@T7YeTGMNTGA R Kt?Kt;Uc W9CEM;>TGMHI¸T"; R ?_t?MKVlH?_t?EO2C?`UTUM@Ccq ZT WMNT R Kt;>CIqC-;u=@M@?EMpHTs=D?IsnUZT I¸? R CAO2KNR P ?EF C O2 T &CMNTGA` ZT HI KLA~ik?EMNKt?A-=@TE\ TG_VKL`UIfTUA-=@TKL;>=NC ZT IxHK=@CsY? R KL_$º K Ä K 4 &ClECc~? Ä K » K 4 Ä K 4 K » K 4 ! K ± Ä ± u"E CEM@TUA` ZT KLA~ik?EMNKt?A-=@TEcO?O?qWCM R CEAO2KNR P ?EF CqOT & K Ä K ! & +-$%1'$ *$3) +4' " $3+-)) » u" 7 d?IfC-;S?lCEMD?xKLA-=NM@C~OH`UKLMS?E;Sp-H?EA-=NKtO?EO2T";Sp-HT R CMNM@TG;NW9CEAO2TGIc2ACfYeCEM@IJ?_LKL;NIfCqM@TU_t?4a ± T Æ ± \XXCA;>KtO2TGMNTCq=NTGA;>CMSO2T;>TGlEHAO?qCEMDO2TUI =NKLi~KL;>=@?c?C-; R ?IfW9C; j Ä Ä u" - :dI =@TUM@IfC;fO2C; ?;qTGp-H?BR P CEF T";sO2T ?w XTG_V_?EOpHKVM@KVM"?F C;>H? YeCEM@IJ?OTAKV=NKLi4?\ dM@KLIqTGKVM@Cqik?EIfC;IfC ;>=NMD?MT7w2W_LK R K=D?IfTUA-=@TpHT ZT HI =NTUA;>CMG\ K Ä µ K Ä µ µ » uG 7- K K 4 4 » K K 4 K K 4 8 T K TEc R CEIfC 4 »v¼ 4 K 4 c~=NTGIfC; K 4 » K 4 CEMCH2=NM@Cs_t?EOCc K K 4 »§¼ K 4 K 4 Ä µ v » ¼ Ä uGk &ClECc K Ä K Ä µ »§¼ ¼ ¼ ¼ K »§¼ ¼ K 4 4 p-HT ZT ?sYEZC M@IxH_t?fO2T=NMD?A;>YeCEM@IJ?BR P ?EF CsO2THI =NTG A ;NCEMSO2T;NTUlEHAO?qCEMDO2TUI\ uG- Q?MD?Cn2=NTGMS?E;T"pH?BR P CF TG;O2T?w X TG_V_Bn?;u=D?qHIJ? R CEA-=@?º K K » K 4 Ä K K 4 K » K 4 K K » K K 4 K Ä » » Ä 4 K Ä 4 Ä K K 4 K 4 K K 4 uG- Ä K 4 uGE~ Ä K K 4 K 4 uG-Ç uG - uG:E :dA-="?F Cc uG - » K 4 x ZT CWM@KVIfTUKLM@CW?MO2TqTGp-H?BR P CEF T";SO2T ?4w TU_L_Xei4?EIqC-; IfC-;u=@M@?EMSKL;@;NCO2TU=@?_L?O?IfTUA-=@T IJ?Kt;=@?EM@O2Tk\.- ;>TGlEHAOCsW?EMSO2T R CEM@MNTKLIqT"O2Kt?4=@?EIfTUA-=NTO?fO2TAKNR P ?EF CfOT º K K K 4 4' &$%,+ " !"66 # &( 5M@?=@?4ab;NT;NKVIfW_LTG;NIfTUA-=NTO2T?EW_LK ! " , K ! K 4 K K 4 7 » uG *,($%,+-$% &$ R ?M?fO2TAK>R P ?F C » K Ä K 4 8 K Ä K 4 ukÇG7- Ä K » » » » -;CEH=NM@C; » Æ » Ä K 4 Ä K K Ä*± R ?;>C-;;G?F CfM@TUW9T7=@K>R P CEF TG;O2T";N;NTG;OCEKt;=NTUIfC-;Uº ! K 8 » K Ä K 4 K 4 Ä K Ä K K K K 4 K Ä Ä K » K 4 » » K 4 K Ä K K Ä ! K 4 K Ä ! KK K 4 K 4 Ä K » K 4 · · · !"66 # · · » · ·N· &) 7 7 Æ Æ Æ Æ 7 Æ Æ 7 ukÇ2k " *) CEMHIJ?s=NMD?A;uYeCMNIJ?BR P ?F CqO2T & CMNTGA=@`Ec~Kt;[email protected] ZT c2HIJ?q=NMD?A;uYeCMNIJ?BR P ?F Cx=@?_&p-HT » 4 » 4 4 · » ! 4 » 4 4 ukÇE 4 4 ukÇ- 4 ukÇ4~ 4 · ukÇEÇ ;@?n9TUIfC;p-HT ZT HI=NTGA;>CMxO2Tg;NTUlHAO?CEMDO2TUIc_VClECcp-HTg;NH?E;YZC MNIsH_t?E;O2T =NMD?A;uYeCMNIJ?BR P ?F Cq;U?EF Cº »v¼ ¼ ukGÇ - R CI ¼ ¼ ¼ » » » G7 »Á¼ »Á¼ »§¼ · · ukÇ E ukÇG- ukÇG- N; TUAO2CC-;.HZ AK R C-; R C~T R KLTUA-=NT";A&?EF CaA-H_VC-;U\ ® Hn;>=NKV=NHKLAO2CTG;@;>T";i4?_LCEM@TG;A?T"p\tukÇG- =NTGIfC;Gc2WCMT7w2TUIfW_LCc »§¼ ¼ ! ¼ ¼ 5M@?O2H`UKLAO2CW?MD?S?_LKVAlH?lTUI =NTGIfC; -; » ! ± T Æ ± R CEI O2C; R ?IfW9C; v R EZ? _ R H_LC;;U?EF Cq=NC2O2C;KLlEH?Kt;U\.- > » » Æ µ » ! ! » » u 7 u Æ u E- Æ u ~ u Ç Æ » u k Æ » - CSH;NC O?S=@?n9TU_t?SO?STGp9\L>"Ç"c µ » M@TG;NH_V=@?O2C0A?_ ZT CJ;NTUlHKVA-=@TEº µ µ µ Æ µ Æ µ » Æ u - u E ± ;G?F Cf?Ep-HTG_VT";CEn;NTUM@i4?EO2C-; N; KLlEAK R ?O2CJO2TG;@;@?E;XYEZC M@IxH_t?E;gZT R _L?EMNCºC-; R ?EIqW9C; ± T Æ W9CEM<HI OC;QCn;>TGMNi4?O2CEM@TG;GcEp-HTST"; R CE_LTUIfC; R CEIfCT";u=D?AOC{>TGIjM@TUW9CEH;NC|\o-§CEH=NM@C CEn;>TGMNi4?EOCEM"c2T7w?IfKLA?AOCqCgIqT";>IfC;NKL;>=NTGIJ?fY>[ Z ;>K R Cc2If?;UcTUI MNTG_L?&R P ?EF Cf?ECp-H?_+cT";u=9Z? TUIjIfC4i-KLIfTUA-=NC R CEI iTU_LC R KLO?EO2Tq ± cECn;>TGMNi4?*CEH2=@MNC-; R ?EIqW9C;Gc ± µ T Æ ± µ \ CM T7w2TUIfW_LCc ;NTdCSCEn;>TGMNi4?EOCEM^¯=NTGI O2KL?EA-=NT<O2T;>K-?W9TUA?;&HIJ? R ?M@l?TGI¿M@TUW9CEH;NCcG=NTGMNTGIfC; Æ ± » 7\ TU_t?E;TGp-H?&R P CF TG;? R KLIJ?SiTUIfC; p-HT¯ µ CEn;NTUM@i4?M9Z? c4?_7UZT I O2T R ?EIfWC-;TG_77ZT =NM@K R C;Gc R ?EIqW9C; IJ?lA7ZT =@K R C; Æ µ Æ µ Æ µ u 7 » u » » uDD7- Cxp-HTS ZT MD?`UCXZ? iTU_+cWCKL;Gc-W?MD?TU_LTEc2? R ? M@l?T";u=9 Z? TUI IfC4i~KVIfTGA=@C R CIjiTU_LC R KtO?EO2T ± c TEc2W9CEMN=@?EA-=NCc2?kiETUM9 Z? HIf? R CEM@MNTGA-=NTEc R E C I CJ;NTUH R ?EIqW9CfIJ?lEA7ZT =@K R CsKLATUi~KV=EZ? iETU_+\ z ) ¤ ¨ ¦ s«S© ¨ 6-+ " / " ) 2)$ ' " &(&$ " )1 +:,+-$ ± \d TUM@lEHA=D?4ab;>Tp-H?EKL;XC; R ?EIsa ]SIJ?xW?MN="[ Z R H_L?;NT IfC4iT R CI iTU_LC R KtO?EO2T R CA;u=D?A-=NT 5J W9C; R MNKt?EO2C-;5WCM&TU_t?\ d?IfC;&MNT";>C_ViTUM5TG;>=NTdWMNCn_VTGIJ?XW9CEMIfTUKLCSO2TdHIJ?=NM@A;>YeCEM@IJ?BR P ?EF C O2T ^CEM@TUA-=N`?O2TGp-H?O?\ ® HW9CEA?EIfC;p-HTg?W?MN="[ Z R H_t?zTG;>=NT>}>?TUIyMNTGWCH;>CAC;>Kt;ua =NTGIJ?O2TM@T7YeTUM TG A R Kt?¯ µ \ - CEn;NTUM@i4?EO2CMTUI ¯ ik?EK$cTUA-="?F Cci T7 a_t?gA?; R CEAO2KNR P CF TG;O2C WM@CEn_LTUIJ?\gSC;NKL;>=NTGIJ?¯ µ cC R ?EIqW9CO?W?EM>=k[ Z R H_t?vJ ZT C R ?IfW9C R CH_VCIxnKt?AC\SC W9CEA-=NC iET>}>?J? lEHMD?XC R ?EIqW9C.ZT ± µ » R CI 8 µ »§¾ 8 8 8 ± µ µ cT;NH?E; R CEIfW9CEATGA=@TG;A?;O2KLMNTR P CEF T"; !n 2 4 uD~k T \ µ ¾ 4 5TUIfC; µ µ µ » » µ ¾ ¾ !m !m µ T";u=9s Z? 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R CA-=NMD?W?EM>=@KLO?OTs[ Z CEA;<WC-;>KV=NKLiEC-;Uc R CIfC A~HI C-\ u;>=NC;NTUM9z Z? ;NKLIxn9CE_LKV`"?EO2CW9CEMHI CKLA>AKV=NCp-HTJW9C~OTUM@KL?;NTUMHI=@HnC C R CcO2TUA-=NM@CJO2CJp-H?_BT";u=D?M@KL?EIW?E;@;N?EAO2CqC;TG_7UZT =NM@CEA;D\ ¯ ¯ µ ¾ 4 ± C [hVXWGWGV YZ[hFI[hHX[_W b [hUG[lQLV p:[ u -;>Kt;u=@TUIJ?.¯cSp-HT WC-;N;NHK iTU_LC R KtO?EO2T TUI MNTG_L?&R P ?EF C?EC.;NKL;>=NTGIf? ¯ µ cTGA2w2TUM@l?C; TU_UUZT =NM@CEA;W?EM@?O2C;f f ZT =@?EIxnGZT I¸?iETG_VC R KtO?O2TJO2C;TG_7UZT =NM@CEA;Â\ST";u=@T;>Kt;>=NTUIJ?r+¯dc TUA-="?F CcQC R ?EIfWCIf?ElEA7ZT =NK R C ZT A~H_LCc<TC R ?IfW9CTG_77ZT =NM@K R C ZT WTGMNW9TUAO2K R H_t?MJ?C Cc MD?EO2Kt?_5TO2TIZC O2H_VC » u E 8 CEAO2T * ZT ?xO2TUA;NKtO?EO2T*_VKLAT"?MO2T R ?M@l?\:<;>=NT*MNT";>H_V=@?O2CW9C2O2T;NTUM<Y? R KV_LIfTUA-=NT*CEn2=@KLO2C H;@?AOCab;>TSCx=NTGCEM@TUIJ?O2T?H;@;Uc-W9CEMT7w2TUIfW_LC\QSCsWCA-=NC iET>}>?x?lEHMD?7cE=@TUIfC; » Æ 2 » ¾ » 7 Æ 7 » - Æ » » u - 7 u - u 7- ] ;@?AO2CJ?E;YEZC M@IxH_L?;OT=NMD?A;>YeCEM@IJ?BR P ?EF CxCn2=NTGIqC-; µ » µ » µ » Æ µ » 7 Æ µ » ¾ :dIª;>HIJ?c2C R ?IfW9CfIf?ElEA7ZT =NK R CrZT Æ µ » 7 u u E - Æ µ » 7 u k 7 ¾ u ~ ¾ ® X T HI CEn;NTUM@i4?EO2CMS{>TGI M@TUW9CEH;>C-|CEn;NTUM@i4?HIJ? R ?EMNl-?WCMHAKLO?EO2TO2T R CEIfWM@KVIfTUA-=@C gT HIJ? R CEM@MNTGA=@TS`UTGMNCcp-H?EKL;X;>TGMG?EF C?xO2TGA;>KtO?O2T O2T R ?M@l?T? R CMNM@TUA-=@TCEn;NTUM@i4?EO?; W9CEMHI Cn;>TGMNi4?O2CEMO2T*iTU_LC R KtO?EO2T ® HW9CEA?EIfC;p-HTC Cs=NTGA?sHIJ?f;>T R R P ?EF C M@T7=@?JOTrZ? M@TG? ¯\ 5CEIJ?AO2CfHI R CEIfWM@KVIfTGA=@C OC Cc=NTUIfC-;HI iECE_LHIfT 5 » ¯\dh R ?M@l?sATG;>=NTiEC_VHIqTZT f\ 5 » ¯ » » u Ç D » ¯\:<A-=G?F C (;>Tx=NMD?A;>YeCEM@IJ? 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