!#"%$#&#&('*)+&#!-,/.*0&-,1'*)2,4353 !-,76849;:!#&#"A@;BC@;DFE...
26 downloads
158 Views
4MB Size
Report
This content was uploaded by our users and we assume good faith they have the permission to share this book. If you own the copyright to this book and it is wrongfully on our website, we offer a simple DMCA procedure to remove your content from our site. Start by pressing the button below!
Report copyright / DMCA form
!#"%$#&#&('*)+&#!-,/.*0&-,1'*)2,4353 !-,76849;:!#&#"A@;BC@;DFEHGJIKE L%MONPMQLSRUTWVYX[Z\T]V_^#M[`aMcbdVYX[Z\T
!"#$&% '() * +() () +,& % '.() 0/12,%3 *4 %/657 8()()%9'2;:% /= ?@0ABBBDCFEGHJI9K LMONPQDRSTUTJVWYXVM[Z I V\RW^]9SZPW^]_VJ`0TabTR] I T I ZMONdc I P I ZPYV^efTghTajiPYXk;lfPU^PnmT I X ] m] I ZTo K pqdir]9SS]_Vs`tPrN6]7u I iPrSTR$aY]^v]bmsu"wP;abWPYXVM[Zxr] I[I NP^Zr.M[Zk"P I SPWSqdMJZMYPr.M[ZTmM I RTM NM[ZP^v qzybZPU^P2r]YaYv M{X ]|`0TabTRT}T P^v SPWr.MONMOSSP2P[g W^]9ZTZk~iPYXk;lfPQ+Rr U~R&PSRr.M[ZSqg `0TabTmM I RTgVWYXMOSTQ K ]^v]bmTxwMOrWPQcWWP^v SPQm] I ZT!RSTUTxwP^v P ir]9SqZ]9RcmZP iqS]
wrTNMOr.M7TabWM I ZSP; U^P7mTZ]9ZM{XN6]9ZMOrT]bX ]\wP7SMOr.M{XVZTWT I Z I R&PQsRW^]9SZPWPQ
NMg]9STR&Mfwr.PT&XX I ZrTr.PW^]9Zk NM[ZP^v`SRoTQ2rTS] K p I MDaY]^v]bmT|r.MlfMOSqT I Pwr.PWPbfv]9tZ I VR&PNNMOSZ]9rT&VNTcwPYV I S&VefTNT*NP^ZTWTr.PWR~aY]^v]bm*T*Tg I WYV^abk I r]YabSPP ir]YabSqdNT WPwr.P I ]9NT I PWr.MONMOSSPQ ZMYPrTTR&PSv MOS I Tr.PW^]9SSPU^P I P I ZPYVST&V K pS]bm]bXMhR];fv PQUOX ]9WqRr]9ZR&P$Ta_X ]9U^]9M[Z I V!SM P iYg^P^v TNqdQ N6]9ZMOrT]bXwP|`tMOQSN6]9SPW I R&PQ}v T]9Ur]9NNSPQ*ZMg STR&M K pZPr]_Vm] I Zk|RSTUT wP I Zr.PMOS]7wP7ZPQ" M I g^MONM9c.mZPhT"wMOrW^]_V K p+SMYMfWR&XtmMOSq>SM I R&PYXkR&Phr]YaYv M{XPWh`0TabTRT R&PSv MOS I Tr.PW^]9SSPU^P I P I ZPYVST&V.cwr.Mv I Z]9WYXVefTgDTSZMOr.M I S] I MOU^P^v S&V^lfSTQ
v MOSk K ZPZM PrT&Vx`tMOrNT Tv R&P I ZTcSMwPr&V v PmMOSSqdM I T I ZMONq)c I WMOrg wr.PWP^v TNP I ZkcTP^v SPNMOrSqdM I T&XkSPR&Prr.M{XTr.PW^]9SSqdM I T I ZMONq K0 PNTNP$ybZPU^PcWP$WZPr.PQ|m] I ZT|r] I[I N6]9ZrTW^]9tZ I V WPwr.P I q)c I WYV^aY]9SSqdM I TabNMOr.MOSTMON`SRoTQ"P^ZR&XTR]\TUrTSPW I RTg
`SRoTQ K )STU^]7wr.Mv S]YabS]bmMOS]
v^XV I Z ^v MOSZPW I Z]9rlfTgsRr I PWc I wMOoT]bXTabTr efTg I VsWhP iYX ]Y I ZTxZMYPr.M[ZTmM I R&PQ`0TabTRTc`0TabTRTZWMOrv PU^PZM{X ]
TxSTabRTgxZMONwMOr]9Z r K ]Z]9R M7v^XV ] I wTr]9SZPWYu`0TabTR&PWDT
S][mSqg"r]9iP^ZSTR&PW K
| KtK MOWTZPW7T K p K¡ TZPWc¢b££^¤c HHH
"!$#%'&(() + /-, ?& ^ 3/. ¢ K ¢ K n]9SPSTmM I RTM wr.MYP ir]Ya9PW^]9ST&V K K K KnK K K K K K K K K K KnK K K K K K K K K K ¢ K K ]^v]bmTx¢2143 K K K KnK K K K K K K K K K KnK K K K K K K K K K KnK K K K K K K K K K ¢ K E K76 MlfMOST&V K K K K K KnK K K K K K K K K K KnK K K K K K K K K K KnK K K K K K K K K K ¢ K 3 K;: Z I wTSPWqgPwMOr]9ZPr.PW C R`tMOrNTMOW I RTN K K K K K K KnK K K K K K K K K K A/12,%3 '~4 % K ¢ K r.Mv I Z]9WYXMOSTM W;aY]9TNP^v MOQ I ZWT&V K K KnK K K K K K K K K K KnK K K K K K K K K K K K ]^v]bm> T 801
¢ H K K KnK K K K K K K K K K KnK K K K K K K K K K KnK K K K K K K K K K KE 7 K 6 MlfMOST&V K K K K K KnK K K K K K K K K K KnK K K K K K K K K K KnK K K K K K K K K K
? /-,?% ?9'~();:% ! % + ^ 3/. E K ¢ K LMYPrT&VWP;abN^efMOSTQ"T
`SRoT&VrTS] K K K K K K K K K K KnK K K K K K K K K K E K K ]^v]bmTx¢¢2
1 ¢98 K KnK K K K K K K K K K KnK K K K K K K K K K KnK K K K K K K K K K E K E K6 MlfMOST&V K K K K KnK K K K K K K K K K KnK K K K K K K K K K KnK K K K K K K K K K @ /-nD () & ^ ?,FEH$G $ ^ 3/. 3 K ¢ K r]9WT&X ]JwP I Zr.PMOST&Vv T]9Ur]9NN K K K KnK K K K K K K K K K KnK K K K K K K K K K 3 K ¢ K ¢ K J XPmSPM I NNTr.PW^]9STM K K K KnK K K K K K K K K K KnK K K K K K K K K K 3 K K PYX I ]J`SRoTT$rTS] C I wMORZr"RW^]YabTm] I ZTo K K K K KnK K K K K K K K K K 3 K K ¢ K K W9^g m] I ZTmS]_V
`SRoT&VrTS] K K K K K K K K K KnK K K K K K K K K K 3 K E K ]^v]bmTx¢ G 1 ¢ K KnK K K K K K K K K K KnK K K K K K K K K K KnK K K K K K K K K K 3 K 3 K76 MlfMOST&V K K K K K KnK K K K K K K K K K KnK K K K K K K K K K KnK K K K K K K K K K A /- L &NM'O %/\. + h&() - 8& / 8 K ¢ K| XMORZr.PSq}S]J`tMOrNT wPWMOrg SP I ZT K KnK K K K K K K K K K KnK K K K K K K K K K 8 K ¢ K ¢ K R PrNX ]\jiP K K K K K K K K KnK K K K K K K K K K KnK K K K K K K K K K 8 K K ]^v]bmT 1 ¤ K KnK K K K K K K K K K KnK K K K K K K K K K KnK K K K K K K K K K 8 K E K76 MlfMOST&V K K K K K KnK K K K K K K K K K KnK K K K K K K K K K KnK K K K K K K K K K I /TSUM & %/. 2 h % %/. G K ¢ K| XMORZr.PS `tPSPSSPMnW;aY]9TNP^v MOQ I ZWTM KnK K K K K K K K K K KnK K K K K K K K K K G K K ]^v]bmT Q 1 EE K KnK K K K K K K K K K KnK K K K K K K K K K KnK K K K K K K K K K G K E K76 MlfMOST&V K K K K K KnK K K K K K K K K K KnK K K K K K K K K K KnK K K K K K K K K K E
* 0+ + ¢¢ ¢53 ¢98 A=
8 H 1 8 3 K KnK K K K K K K K K K KnK K K K K K K K K K KnK K K K K K K K K K K76 MlfMOST&V K K K K K KnK K K K K K K K K K KnK K K K K K K K K K KnK K K K K K K K K K ¤ K7K T]9Ur]9NNq*iMa I ]9NPwMOr.M I MOmMOSTQ K KnK K K K K K K K K K KnK K K K K K K K K K 3C8 £ K 8 K ¢ K ]9NP I PUOX ] I PW^]9SSPM)iPrSPW I R&PMnwrTiYXT MOSTM K KnK K K K K K K K K K 3 Q £ K G K| X ]9i^]_V\XPR]bXTaY]9oT&V K K K K K K K K K KnK K K K K K K K K K KnK K K K K K K K K K 8¢ £ K G K ¢ K )W^]9SZPWPM)N6]9USTZP I Pwr.P^ZTWYXMOSTM K K K K K K K K KnK K K K K K K K K K 8¢ £ K G K K `d`tMORZ" j]9r.PSPW^]Y J PN6] K K KnK K K K K K K K K K KnK K K K K K K K K K 8 G £ K¢ £K £ KE £ K3 £ K8
A0I ? + B/)(f?&: ? () ^'O ¢ H K ¢ K* TRr.P I R&PwTmM I R]_V
ZMYPrT&V I WMOrg wr.PWP^v TNP I ZT K K K K KnK K K K K K K K K K GE ¢ H K ¢ K ¢ K : ir]Ya9PW^]9STM)RwMOr.PW I RTgw]9r K K K K K K K K K K KnK K K K K K K K K K GE ¢ H K ¢ K K )W^]YabTm] I ZToq}W I WMOrg wr.PWP^v STR&M K K K K K K K K KnK K K K K K K K K K G ¤ ¢ H K K K T]9Ur]9NNS]_VDZMg STR]hv^XVZMYPrTT J ¡ K K K K K K K K KnK K K K K K K K K K G £ ¢ H K K ¢ KB6 ] I[I M{VSTMfW\RwMOr.PW I R&PN2R]9S]bXM K K K K K K K K K KnK K K K K K K K K K G £ ¢ H K K KBR SRoTTsrTS]\W I WMOrg wr.PWP^v STR&M KtK K K K K K K KnK K K K K K K K K K ¤ ¢ H K E K ]^v]bmT>8N801 G ¢ K KnK K K K K K K K K K KnK K K K K K K K K K KnK K K K K K K K K K ¤ G ¢ H K 3 K Lr ^v SqdMnaY]^v]bmT G 1 G 3 K K K K K K K KnK K K K K K K K K K KnK K K K K K K K K K Q ¢ ¢ H K 8 K 6 MlfMOST&V K K K K K KnK K K K K K K K K K KnK K K K K K K K K K KnK K K K K K K K K K Q
8
+0+ / LD ()&&% s ,%3 4 % ¢¢ ¢ ¢ ¢ ¢ ¢ ¢
?@< K ¢ K Tv r.P^v TS]9NTR]\P^v SPNMOrSPU^P7`tMOrNT U^]YaY] K K K K K K K K KnK K K K K K K K K KE &3 ¤ K K )PNNZ]9ZPrq PwMOr]9ZPr.PW7w&XP^ZSP I ZT K K K K K K K K K K KnK K K K K K K K K KE ^3 £ K E K* P^v M{Xk\LPNPS]9UT K K K K K K K K K K KnK K K K K K K K K K KnK K K K K K K K K KE 8 ¢ K 3 K : Z
iP;a9PSPW\R
`tMOrNTPS]9N K K K K K K KnK K K K K K K K K K KnK K K K K K K K K KE 8 E K 8 K ]^v]bmTs¤ 1h¤9£ K KnK K K K K K K K K K KnK K K K K K K K K K KnK K K K K K K K K KE 8 ¤ K G K 6 MlfMOST&V K K K K K KnK K K K K K K K K K KnK K K K K K K K K K KnK K K K K K K K K KEGH
+ A/ 7 % 3 '
¢
¢
¢
¢
¢
¢
?F+0+
K ¢ K L SSM{XTr.PW^]9STM KnK K K K K K K K K K KnK K K K K K K K K K KnK K K K K K K K K KE ¢ ¢ K K Mwr U^PM r] I[I M{VSTM K K K K K K K K KnK K K K K K K K K K KnK K K K K K K K K KE Y¢ ¤ K E K ]^v]bmT G 801h¤¢ K KnK K K K K K K K K K KnK K K K K K K K K K KnK K K K K K K K K KE H K 3 K 6 MlfMOST&V K K K K K KnK K K K K K K K K K KnK K K K K K K K K K KnK K K K K K K K K KE 3
[M ZP^v2`SRoTQ*rTS] c6WwMOrWqdMswr.Mv^XPb MOSSqdQ 6dKR MOQSN6]9SPNW!RW^]9SZPWPQ|y_XMORZr.P; v TS]9NTR&M9c& M v]9WSP I Z]bXDSTWMOr I ]bXkSqdNV^abqdR&PN~W I MOQZMYPr.M[ZTmM I R&PQs`0TabTRT K S]9STM v T]9Ur]9NNSPQxZMg STRTTNMOSTMhT I wPYXk;a9PW^]9Zk
`SRoTTrTS]hVWYXVM[Z I V$SMYP^Z MONXMONPQ m] I ZkP ir]Ya9PW^]9ST&Vf`0TabTR]Y ZMYPr.M[ZTR] cSMaY]9WT I TNPnP^Z7R&PSRr.M[ZSPQ7P iYX ] I ZT\MOU^PnTSZMOr.M I PW K rTDybZPN I Z ^v MOSZ .c M{X ]9efMONDTa[mTZkJybZTNM[ZP^v q)cP iqdmSP\wrTg^P^v TZ I V
WS]bm]bXM abS]9R&PNTZk I V I STNTW r]9NR]Yg Rr I ] RW^]9SZPWPQfZMYPrTTfwPYXV.cbwP I R&PYXkRnwPtT I ZPrTmM I RTN wrTmTS]9N~W\mM;iSPQDXTZMOr]9Z r.MfP I SPWSPM)WSTN6]9STM)^v M{XVXP I k7TNMOSSPJybZPQ"P iYX ] I ZT K p}ZMYPrTR&PSv MOS I Tr.PW^]9SSPU^P I P I ZPYVST&V.cTa[m]9e RW^]9SZPWqdM I WPQ I ZW^]hZWMOrv qg ZM{XxTv r UTg!NSPU^Pm] I ZTmSqg I T I ZMONdcv T]9Ur]9NNS]_VZMg STR]$wr.PmSP"WP;l)X ]
MefMhW I M r.Mv TSM 8 H gxU^P^v PW K n]9R!SM[Zr ^v SPwr.P I XMv TZkcwr]9RZTmM I RTW I MDP I SPWSqdMDv P I ZT MOST&V W
ybZPQ!P iYX ] I ZT!ZMYPr.M[ZTmM I R&PQ`0TabTRTiq0XT!Z]9RT&XT!TS]bmM I WYV^aY]9Sq I r]YabWTZTMONv T]Y Ur]9NNSPQfZMg STRT K^ rTNMOSMOSTM`SRoTQ\rTS]tWtZMYPrTTZWMOrv PU^PjZM{X ]dg^Pr.P;lfPtP I WMefM SPWDP i;lfTrSPQXTZMOr]9Z r.M9coMOSZr]bXkSPMNM I ZP
WR&P^ZPr.PQ"aY]9STN6]9M[Zsg^Pr.P;lfPTabWM I ZS]_V NPSPUr]9`0T&V K K tirTR&P I PW^] c K9 K PrkR&PW^] T K dNK K a_VXP;lfTS I R&PU^Pc M[ZP^v q|RW^]9SZP; WPQhZMYPrTTDwPYXV\W I Z]9ZT I ZTmM I R&PQ
`0TabTR&M ¢ K Z])aY]9NMOm]9ZM{XkS]_VhRSTU^] c&R I Pbf]bXMOSTfc SM7NPb M[Z I mTZ]9Zk I V$mM;iSTR&PN>WwPYXSPN I Nq I XM I XPW^] cwP I R&PYXkR$WSMOQxP^Z I Z I ZW9tZ aY]^v]bmTc]7Rr.PNM ZPU^Phwr.Mv wPYX ]9U^]9M[Z I V.c.mZPDmTZ]9ZM{XkDP^Zm] I ZT
abS]9R&PN I NM[ZP^v]9NT$RW^]9S ZPWPQZMYPrTTwPYXV K pS] I ZPYV^efMYM7Wr.MONV.c P^v S]9R&Pc I Z ^v MOSZq m] I ZP"Ta[m]9tZNM[ZP^v q`SRoTQrTS] c T I wPYXk;a[VDRSTU9 ¢ T&XT"v r UTM ]9S]bXPUTmSqdMnwP I P iT&V.cSMnwP I XM)RW^]9SZPWPQ
ZMYPrTTwPYXV.c] P^v SPWr.MONMOSSPT&XTv]; MtSM I R&PYXkR&Pr]9Sk;lfM K ZP I WYV^aY]9SP I ZMONdc mZP I PWr.MONMOSS]_Vh`0TabTR] ZWMOrv PU^PhZM{X ]hv P I Z]9ZPmSPhiPU^]9Z]JTv M{VNT"T I P^v MOr f]9ZM{XkSqdNT$r.Ma[XkZ]9Z]9NTc.]\ZMYPrT&V R&PSv MOS I Tr.PW^]9SSPU^P I P I ZPYVST&V
TNMYM[Z"NSPU^P I WYV^a9MOQ I RW^]9SZPWPQZMYPrTMOQ"wPYXV K P;ybZPN S]9NR]YaY]bXP I kJWM I kN6]fwPYXMabSqdN~Ta_XPb TZkJSMYP iYg^P^v TNqdQv^XVhP I WPMOST&VDv T]9Ur]9NNSPQZMg& STRTN6]9ZMOrT]bXZ]9RTNP ir]Ya9PNdcmZP iq=PSiq0Xv P I Z wMOS I Z ^v MOSZ .cabS]9R&PNPNXTlfk I P I SPW^]9NT
RW^]9SZPWPQNMg]9STRT K r.Mv^X ]9U^]9MON6]_VhmTZ]9ZM{X>RSTU^]WP;abSTR&X ]R]9RwPwqdZR]f I Zr]9STZkJR]YaY]9SSqdQ
wr.P iM{X WtmM;iSPQ XTZMOr]9Z r.M K :jI SPW9 RSTUT I P I Z]9WT&XTJN6]9ZMOrT]bXqaY]9S&VZTQJwPjZMYPrTT\ZWMOrv PU^P R L Wx¢b££ £ 3
UUc WR&P^ZPrqgWR]bmM I ZWM7mM;iSTR]"T I wPYXk;a9PW^]Y ZM{X ] I P I Z ^v MOSZ]9NT " X ] I kRSTU^] ¢ K P I P i I ZWMOSSPNDPwqdZ D]9WZPr]9NTabWM I ZSPc mZPJmTZ]9ZM{X WMOmSP;a9M{XMOSPQ RSTUTxP`SRoT&V^g!rTS] )wrTg^P^v TZ I V.c R]9RxW I MOU;v]wrTxTa[mMOSTTZr ^v SPU^PN6]9ZMOrT]bX ] c I ]9NPN2wrTvNqdW^]9Zk I M;iMwrTNMOrqzT+wr.P I ZqdMsaY]^v]bmT K I g^P^v SPQ*Tv MYMOQ*iq0XP C I T I ZMON6]9ZTabTr.PW^]9ZkybZP^ZPwqdZ!T I S]9i^v TZk"mTZ]9ZM{XV ¢ v P I Z]9ZPmSPsTSZMOr.M I SqdNTcSP"SM I XTlfR&PN~Zr ^v SqdNTaY]^v]bm]9NT K p+wr.PoM I[I MfS]9wT I ]9ST&VRSTUTNq)c I XMvV I PWM[Z]9N2R&PYXXMOUcwP I Z]9r]bXT I k I v M{X ]9Zk7S]Yl RSTU9)wPWP;abNPb SP I ZTnSMaY]9WT I TNPQ P^Z v r UTgnmM;iSqg wP I P iTQ K K XVybZPU^P WS]bm]bXMW I Mg UOX ]9WqwPNMefMOSq+W I Z wTZM{XkSqdM)r]YaYv M{Xq)c WfR&P^ZPrqgS]9wPNTS]9M[Z I VhSP iYg^P^v TNqdQZMYPr.M ZTmM I RTQ
N6]9ZMOrT]bX.c I r]9WSTW^]9tZ I V7r]Ya_XTmSqdM)wP^v&g^P^v q)c Rr]9ZR&P I NNTr tZ I VDP I SPWSqdM ZMYPr.M[ZTmM I RTM7wPYXPb MOST&V.cTZ K w K P I XMfybZPU^PTvZr]YaYv M{Xq I aY]^v]bm]9NT jTTgwP^v r.P i; SqdNT!r.MlfMOST&VNT K SPU;v] cM I XT!WDybZPN}TNMYM[Z I VSMYP iYg^P^v TNP I Zkc wrTWMv MOSP"SM I R&PYXkR&P r]Ya_XTmSqgr.MlfMOSTQP^v SPQT
ZPQ
MjaY]^v]bmT K PNTNPybZPU^PcWP I wPYXk;a9PW^]9W;lfT I kwr.MOTN^
!
#
$
"
&%
')(+*-,./-021 354.6457-8:9-; 3?/@4BA; v^XV
+ / '& 2 2
6 ] I[I NP^ZrTN~oMOwPmRD]9ZPNPWJN6] I[I q c I PMv TSOM SSqg"P^v TS]9R&PWqdNT"wr & TSR]9NT M I ZR&P I ZT)( ,+
0/
-
*
(
.
*
ybZPQ I T I ZMONq K PR]; TZM9cmZP7Tgv W M ]9R I ZTmM I R]_V
T
PwZTmM I R]_V K MONDr]9WS] I R&Pr.P I Zk abW9R]21 0 PYX&mTZ I VJXTDZ]9R&PQD MjP^ZWM[Zc M I XTWqdmT I XVZk21wP 43 4 cU;v M 3 C v]9WYXMOSTM9c] 4 C w&XP^ZSP I Zk 0 `tPrNXM ]9w&X ] I ]21
J l
K6HI1=' *.; *@ 4I;PQ?Q=K-= @?
:
A
r]YabWYV^aY]9Sq K 57 ,8 |#$&% 2A/0 rTWMv MOSSPMr.MlfMOSTMDT&XX I ZrTr M[Z I Z]9Sv]9rZSqdQwP^v&g^P^vR K K ]^v TNv r U^PMr.MlfMOSTM9cdWR&P^ZPr.PN=`0TabTmM I RTQ I Nq I X wr.MYP ir]Ya9PW^]9ST J PU^PYXtiPW^] WqdmT I XMOSTQ$V I SMYM9cT I ]9NTxPST C y_XMOU^]9SZSMYM K pMOrSMON I VRU^]9NT&XkZPST]9S ¢ K E 8 tTr] I I NP^ZrTNMOU^P7R&PNNZ]9ZPr I `tMOrNTMOW I RTNTsPwMOr]9ZPr]9N/T "2 K PYXk;a[V I k I PP^ZSP;lfM ST&VNT ¢ K3 E WqdmT I XTN~R&PNNZ]9ZPr &
> L4g I g a g:L4g# WJxg a g/g mTg/g a gIJzmg!L g/g a L4g a W Jzmg a L
L4g"2B WJ % $ Im ( g"2 o (H $ - %g a^&2 M ¢ K 3N3) t]9wPNSTNdcmZPD`0TabTmM I RTQ I Nq I X"R&PNNZ]9ZPr]DSMOR&P^ZPr.PQWM{XTmTSq I U^]9NT&XkZPST]Y SPN C I R&Pr.P I ZkJTabNMOSMOST&V\ybZPQWM{XTmTSq H J L ! K 6LMOwMOrkJr] I[I NP^ZrTN|R]9SPST mM I R&PMnwr.MYP ir]Ya9PW^]9STM
g"2J 2 2 o 2 a^&2 L
TDwr.Mv wPYXPb TNdc mZPJw]9r]9NM[Zrq U^PS]bXkS `tPrN
2T
!
g a^&2 J 2 a^&2 m 2 2 L
¢ K 3C8
2Wqdir]9Sq+Z]9RcmZPJU^]9NT&XkZPST]9SDwrTS&VXhv T]Y
J o 2 + 2 2a 2 M pP;abkNMON~R&PNNZ]9ZPrq L 2I WJ m + 2 2 L L 2a 6J + 2 2 L T I Tg
wPNP;efk>wMOr.MOwTlfMON2R&PNNZ]9ZPr ¢ K 3N3) m 2 + 2 2vo 2 + 2 a^&2 J % $ Im "a 2 2 o 2 a^&2 o (H $ - / 2 &^ 2 o 2 2 rL
%%
%
+
M
¢ K 3^£(
%
¢ K3 Q
2c 22T 2 m 2 2 J $ Im 2 o H($ - 2 6 2 2 + J $ Im 2 o H($ - 2 + L]9RR]9R
r]9WSMOST&VP^v SPr.P^v Sq wP 2 2 T 2 cWqdr];f]9MON 22mMOr.Ma 2( f 2 m $ Im J H($ - 2 L + TT I R&Xtm]9MON 2 2 TafwMOrWPU^P\r]9WSMOST&V8 2 $ Im
Qo + 2 J m H($ - 2 M
¢ K 3&¤
P^ZR^v]\wPYX&m]9MONv W^]r]9WSMOST&V
v^XV
¢ K3 G
2
¢ K8 H ¢ K 8¢3
H
PYX&m]9MON P^ZR^v]\S]Yg^P^v TN
+
m 63 % $ J 3 $ - L 2 J l % $ Im o $ - M + +
2
2
¢ K8
¢ K8 E
S]9R7wMOr.Mv7R&PrSMONWqdiTr]9MONdc9aY]9NM[ZTWc&mZP)ybSMOrUT&V\WP;a9ib&fv MOSTQhS]^v\P I SPWSqdN I P I ZP; VSTMON2W I MOU;v]\wPYXPb TZM{XkS] K ]9r]9NM[Zrq>wr.MYP ir]Ya9PW^]9ST&VDS]Yg^P^v TNdcP i Mv TSTW\ I XPWTM SPrNTr.PWRT 2 2 ¢tc&WqdZMOR]9efMYMjTan]9SZTR&PNNZ]9ZPr] ¢tc I S]9Qv MOS SPQ I WYV^abk ($ 2 ¢ K 8 3) 2 2 $
+ PYX&m]9MON 2 ¢ 73 $ - 2 $
¢ cP^ZR^v] +
Y /Y o Y 8Y J
J (m H Im M % fm % Im J 2fm % $ Im M 2 J H + l 2 m 3 2 $ Im
# a " g:L4g a!J
Y Y vo
#
#$&%
ga
? /FJ
+
+
%
¢ K 8N8
^v MON2T I R]9Zk7R]9SPSTmM I R&PM wr.MYP ir]Ya9PW^]9STM)Z]9R&PN~WTv M
g.a
J 6gra o8g a o g.
J 6 g o 8 gro
g aa gro$ g gro M
¢ K8 G ¢ K 8¤
ZPS]9TiPYXMYMJP i;e]_V"`tPrN6] cRxR&P^ZPr.PQNPb M[ZxiqdZkwrTWMv MOSPDXtiPMJwPYXTSPNT]bXkSPM wP T Wqdr]; MOSTM K& iMv TZk I VWsybZPNNPb SP I XMvefTNP ir]Ya9PN K pPYuwMOrWqgc I wPNP;efk R&PNNZ]9oTPSSqg I PP^ZSP;lfMOSTQXtiPM
Wqdr]; MOSTM"NPb M[Z2iqdZk!wrTWMv MOSPR SPrN6]bXkSPQ"`tPrNM9cWhR&P^ZPr.PQsW7R];fv PN I X ]9U^]9MONPN~PwMOr]9ZPr M I XT"PS"M I Z)k I ZPTZ I XMOW^]xP^Z K pPYuWZPrqgc6wP I R&PYXkR H c6Wqdr]; MOST M ¢ K 8 G wr.Mv I Z]9WYXVM[Z I P iPQSPrN6]bXkS >`tPrN
S]9TiPYXMYM)P i;efMOU^P\WTv] K 6 ] I[I NP^ZrTN|Wqdr]; MOSTM K rTWMv MON|RW^]^v r]9ZDwr]9WPQDm] I ZTWqdr]; MOST&V ¢ K 8 G 6v^XV R7SPrN6]bXkSPQh`tPrNM ThwP^Zr.M;ibMONdcmZP iq2W I MtR&P;yb`d`0ToTMOSZq*P ir]9ZT&XT I kfW SPYXk K ZP v]9M[Z"v W^]J I XPWT&V8 H H $ ¢ K8 Q tS]bXPUTmSPc I XPWTM ¢wrTWP^v TZR I PP^ZSP;lfMOST
g
kg
g
dafwPYX&mMOSSqg
g
ga
g J ga J
o ]J L ro J M g
g
a o g
a g
J Y Y o1Y QY o Y Y J ¢ M
I PP^ZSP;lfMOSTQ I XMvM[ZcmZP
Y Y*o1Y QY2J¢ M
¢ K 89£( ¢ K GH
L]9RTN~P ir]Ya9PNdc S]9TiPYXMYMjP i;efMYM)R]9SPSTmM I R&PMnwr.MYP ir]Ya9PW^]9STM aY]^v]9M[Z I V
v W9NVDR&PN w&XMOR I SqdNTw]9r]9NM[Zr]9NT T Jc&^v PWYXM[ZWPr&VefTNT I XPWT ¢ K GH K )P;yb`d`0ToTMOSZq T Pwr.Mv M{XVtZ I V
Z]9RTN|P ir]Ya9PN 7 4 c K M[Zr ^v SP|WTv M[ZkcmZPWP i;efMON I X&m]9MsR]9SPSTmM I R&PMwr.MYP ir]Ya9PW^]9STMsSM{XTSMOQSPM9c wP I R&PYXkRR&P;yb`d`0ToTMOSZ SMnP ir]Ye]9M[Z I VDW7SPYXk K
J #H
Jzm
3
¢
6
M lfTN ZMOwMOrkaY]^v]bm v r UTN I wP I P i PNdcWP I wPYXk;a9PW^]9W;lfT I k!wr.Mv I Z]9WYXMOSTMON `tMOrNTMOW I RTg"PwMOr]9ZPr.PW\mMOr.MaN6]9ZrToq ][XT K=: i r]9ZTN I PP^ZSP;lfMOST&V ¢ K H ¢ ¢
¢ K H
mVH L g a J oTH M ¢ K G ¢3 M[Zr ^v SPwr.PWMOrTZkcmZPh I XPWT&V g J g a J H cg a g#o g/g a J¢ybRWTW^]bXMOSZSq I PP^Z SP;lfMOST&VN2]9SZTR&PNNZ]9ZTWSP I ZTsv^XV D DyL 5s a J w[D sM ¢ KG gIJ
r.MYP ir]Ya9PW^]9ST&V.c I P[g r]9S&VefTM I PP^ZSP;lfMOST&V ¢ K G c NPb SPJaY]9wT I ]9Zk7W\WTv M
D
J D s sL
¢ K GE
D o G F:D6mF:Dba % #TJ J m 3 g.D6mTg Da o 3 g.D oPg Da mTg.Dba % mVg Dba a % #PJ a J 3 g D g.D mTg D (o 3 a a g.D6mVg.Dba % " g D mTg Dba % o g.D mTg.Dba % . o &|M M # M
¢ K G 3)
D s
g.D dg Da
C WMefM I ZWMOSS]_VxPrZPU^PS]bXkS]_VN6]9ZrTo] E EnK P;ybZPNxR]9SPSTmM I RTMhwr.M U;v M K P ir]Ya9PW^]9ST&VDW7v]9SSPN I X&m]9MnP ir]Ya[tZUr ww &? D#$&% @ / pqdr]YabTN mMOr.Ma \T w P `tPrNX ]9N ¢ K ¢3 c^SM Pwr.Mv M{XVV wPR]Jm] I ZP^Z
J
(
(
(
pqdwPYXSTN~wr.MYP ir]Ya9PW^]9STM
R
rkMniP;a9M{uPwMOr]9ZPr.PW
g J ^ % "g 2 < D 2 J 2 g"2 < D2 Lg"2J g < ^/D2 M rTybZPN g.D mTg.Dba % ¢ m < D 2 g"2L g Da mTg Dba a % ¢ m < ^/D2 g 2a M P^v I Z]9WYXVV7ybZTWqdr]; MOST&VW ¢ K G 3) cwPYX&m]9MON Jx % g 2a g"2 o> g"2Ngp^&2 o &|M M L
2
U;v M
%
J 3 o
J
(
¢ m
¢ m $ rL $ Tm 3 M
(
¢ K G 8 ¢ K GG ¢ K G ¤
¢ K GNQ
6
] I[I NP^ZrTNR]9SPSTmM I R&PMnwr.MYP ir]Ya9PW^]9STM
J
ag &^g"22 JJ
J
22 22
o 2 aa^&2 o 2 &^ 2 L
U;v M 2 &6;2c 2 $&;2 K M[Zr ^v SPwr.PWMOrTZkc mZPswrTwr.MYP ir]Ya9PW^]9STT NT&XkZPST]9S I P[g r]9S&VM[Z I WP
Q WTvcwrTmMON % xT xNMOS&VtZ I VZ]9R/
¢ K G £( ¢ K G £( )U^]Y
J & ;2 % ]o $& ;21 L t
J $& ;2 % o & ;21 M ¢ K¤ H P^v iMOr.MON ;22Z]9RcmZP iq
xP ir]9ZT&XP I k\W\SPYXk ¢ K ¤¢3 & ;2!J m %
M rT|ybZPNA
%J l Km %J l $ -Y Y K : ir]9ZTNWSTN6]9STM"S]!ZPc6mZP m] I ZP^Z] c6abS]bmMOSTMR&P^ZPr.PQ+NPb M[ ZiqdZkwr.PTabWPYXkSqdNdcWqdw]^v]9M[Z+TaWqdr]; MOST&V v^XV
SP7SMnTafWqdr]; MOST&V
v^XV ;2 K K T]9U^PS]bXTa9PW^]9SSqdQU^]9NT&XkZPST]9S
TNMYM[Z"WTv J
2a 2 o &|M M J 8 2a 2 o ¢ L ¢ K¤
(
J
J l
2
2
IY Y
9
( $ - K pqdr]; MOSTM ¢ K ¤ j wP;abWPYXVM[Z!S]9QZTybSMOrUT=S XMOWqg!R&PYXM;i^]9STQcwrTg^P^v^V^e I VxS] P^v S m] I ZTo 8 % ( ¢ K¤ E
U;v M
J ^ J l kM P^ZWM[Z NPb SP
wrTQZTaY]9NM[ZSPiq
57 ,8 #$&% @ / I Zr.MYM9cM I XTxSM\`0TR I Tr.P; W^]9Zk)WSTN6]9STMdS])PwMOr]9ZPr]Yg\r.Pbfv MOST&VTSTmZPb MOST&V K ZP iq~wPYX&mTZknR]9SPSTmM I R&PM wr.MYP ir]Ya9PW^]9STM9cv P I Z]9ZPmSP\wr.PWMOrTZk I P[g r]9SMOSTM R&PNNZ]9oTPSSqg I PP^ZSP;lfMOSTQv^XV XtiPQDwPYXSPQ I T I ZMONq*PwMOr]9ZPr.PW K pybZPQhaY]^v]bmM)S]9TiPYXMYMtM I ZM I ZWMOSSqdQWqdiPr C R&P; Prv TS]9Zq TTNw Xk I q}m] I ZTo K v M{X ]9MON2wr.MYP ir]Ya9PW^]9STM R rkM
~
~ D %" ~ ~ D %" F PJ ^ F < L J ^ < L Twr.PWMOrTNdcmZP7R&PNNZ]9oTPSSqd~ M I ~ PP^ZSP;lfMOST&V
SMnS]9r ^l]9tZ I V8 F L WJ H w: rm t
rM MOr.MOwT I qdW^]_V
U^]9NT&XkZPST]9ScTNMYMON ~~ ( ~ ~ %" ¢ J 6 ^ W^ o m $ F F|^ M
¢ K ¤ 3) ¢ K ¤N8 ¢ K¤ G
E
LP7M I Zk7R];fv PQ
`rkM U^]9rNPSTR&M I PP^ZWM[Z I ZW9M[Z$P I oT&XXVZPr I m] I ZP^ZPQ
J
m $ J $ -Y Y:M ¢ K ¤¤ PYXPb TW ~ ~ a a o m F J L J l H L ¢ K¤ Q I SPW^]JwrTg^P^v TN2RU^]9NT&XkZPST]9S ¢ K ¤ ¢ %" M J 8 a ¢ K ¤9£( o 9 ^ TR
Wqdr]; MOST ¢ K ¤ E v^XV7ybSMOrUTT"S XMOWqgR&PYXM;i^]9STQ K da)g^P^v]r.MlfMOST&VDPmMOWTv SPc mZPJTv^XV7SMOr]9WSqgN6] I[I J I wMORZr
RW^]9SZPWPQoM
(
(
/
wPmRTib^v [M Z I WYV^aY]9S I m] I ZP^Z]9NTJR&PYXM;i^]9STQR&X ] I[I TmM I R&PQ\oMOwPmRTJZPmSPjZ]9Rf M ;R];fv PQ R&X ] I[I TmM I R&P QsSPrN6]bXkSPQ
NP^v M I PP^ZWM[Z I ZW9M[ZsRW^]9SZPWqdQP I oT&XXVZPr K
Z
J 6$
SZMOr.M I SPMxwrTNMOSMOSTM!R]9SPSTmM I R&PU^P~wr.MYP ir]Ya9PW^]9ST&V2PwMOr]9ZPr.PWcr] I[I NP^Zr.MOSSPU^P WaY]^v]bmM E c6wr.Mv I Z]9WYXVM[ZwMOr.Mg^P^v2P^Z I wTSPWqg2PwMOr]9ZPr.PW!R2`tMOrNTMOW I RTN W!ZMYPrTT K96 ] I[I NP^ZrTN P^v SPNMOrSqgN6]9USM[ZTR&PWc;TabWM I ZSqdQR]9R "! U^]9NT&XkZPST]9SP^v SPNMOrSPQRW^]9SZPWPQ
NP^v M{XT"MOQa9MOSiMOrU^] I P I wTSPN ¢
,O?r&V Pv wPMOmrMO]9SZTPTsrq)PwcMOWrP;]9abZrP] r.I PZW7]bXTT gI wwMOrr.]9M W^I ]hZ]9SWY]bXXVMOtWP ZK.Z ]9rRTcmybZZPP N2iq}abSN]9PRsNwMOSMOr.ZMq I Z]9SPWRT I PP^ZWM[Z I ZW9M[ZJTgnR&PNNZ]9oTPSSqdN I PP^ZSP;lfMOST&VN Q o$ v^XVjiP;a9PSPWc#E m v^XV `tMOrNTPSPW K wPNP;efkL0uwr.PTabWMv MOST&V$PwMOr]9ZPr.PWDNPb SP7aY]9wT I ]9Zk
Wqdr]; MOSTM SPYXPUTmM I R&PQybR I wPSMOSZq>W7iPYXMYM)wrTWqdmSPN2WTv M
~
J m H 9 * +
8
¢
+ ,.-
y
1% y
KE
M
KG
:jI SPWSqdNP i#MORZPNv T]9Ur]9NNSPQhZMg STRT7VWYXVM[Z I V\`SRoT&VhrTS] K :
B
v^XVg r.P;
~ ~ ~ B a GF J < D^/D ~ B ~ a < ^/D D ~ L B G F J < B < L
M[Z I V
mMOr.Ma uPwMOr]9ZPrq)cW;a_VZqdM W\wr.Mv I Z]9WYXMOSTT"W;aY]9TNP^v MOQ I ZWT&V8
S] Pwr.Mv M{XV^
K ¤
U;v nMLw]9P^CRxvhSIF ]YwabTqdwSPW^PS]9WMOTqdN6N6Q"]_]9VM[TZ SOM I TsR&PWU^r.PMONwMOr.SP;T TabWMv MOST&V BuPwMOr]9ZPr.PWcW;a_VZqg
W7wr.Mv I Z]9WYXMOSTT"W;aY]9TNP^v MOQ I ZWT&V "% GF LiF:
Jzm H B GF B a ~ GF:
icrL KQ ~ U;v M I R&~ P iRT MNMNMqc P;abS]bm]9tZ N6]9ZrTmSqdQy_XMONMOSZ c ^ % H Y[MNMNMtY H ccfW;a_VZqdQ wP>P I SPW; K R ]Ya9PWqdQ NSPb TZM{Xk c J SPN I P I ZPYVST I T I ZMONq I U^]9NT&XkZPST]9SPN / ^ D H Y < Y H c wrTS&VZPJWWP^v TZkJv^XV7SPrNTr.PWRT K 0L]9RTNP ir]Ya9PNdc`SRoTTrTS]fiP; a9PSPW
Tx`tMOrNTPSPWPwr.Mv M{XVtZ I VP^v TS]9R&PWPcSPPwMOr]9oT&V wPr&V v PmMOST&V$TNMYM[Z!r]YaO SqdQ I Nq I X K p}Wqdr]; MOSTT K ¤ T$W I jv$v]bXMYMZ]9NdcU;v MfybZPSMJwrTWP^v TZ$R$SMv Pr]Ya[NMOST&VNdc Nq IT wPYXk;a[MON I T I ZMONJMv TSToc9WjR&P^ZPr.PQ J¢ c )W J" ^ % K )r.PNMZPU^Pc;NqZ]9R Mm] I ZP c TiPJP I SPWS }r.PYXkW\v T]9Ur]9NNSPQZMg STR&M TUr]9M[Z
TNMOSSP ib^v MON|wT I ]9Zk1B WNM I ZP B 7-8-4 /- ' /- , 1=,* /-L6A /--,8 8-/-G8(A 8--/8*.'),1= A6+ &@-/Q *-. ,8-/@ Q=4P< ;D0KG216.D 34*-9-%5,1=%)*-ID HI86,L 9-; N ,1 A-3?HI/-, 0 QL ;IH ,4 /-A - 8 ! &@"$#!*-% 8-8@/@Q4 9--; K-64BRBA-3?86, L A@K:4B. A:354BK-9@; 4N 3N;.6027@H K-4 ; I0 4 ;K 8:68-;I7@9-4I1=*K6R1=M 9-4 *-8
32
67 C
:
C
*
B
B
E
B ? >=
= C
:
>=
B
= 7
;E
? = B 67
B
B
1
£
B
PwMOr]9ZPrq Wxwr.Mv I Z]9WYXMOSTT2W;aY]9TNP^v MOQ I ZWT&V.c0]$PwMOr]9ZPrq FWslfr.Mv TSU^MOr.PW I R&PN wr.Mv I Z]9WYXMOSTTswr]9RZTmM I RT"SMnW I Zr.MOm]9tZ I V K pxP^v SPr.P^v SPQ I T I ZMONM. I R]; MONdcbWtU^]Ya9M6T&XT W Tv R&P I ZT6 `SRoT&V rTS] K Q cbPmMOWTv& K pybZPN I X&m]9Md^v P iSP SPc9aY]9WT I TZ7ZPYXkR&P P^Zhr]YabSP I ZT7R&PPrv TS]9 Z T7Wr.MONMOS I v M{X ]9Zk7wr.MYP ir]Ya9PW^]9STM R rkM T
wMOr.MOQZT"W7TNw Xk I SP; m] I ZP^ZSPM wr.Mv I Z]9WYXMOSTM
G F,mF:
J/
Km
p m
^/D ' ^ ) apD ' ^ ) % + % & M L
< + >
K £(
L
p>ybZPN>wr.Mv I Z]9WYXMOSTTP iqdmSP"T I Zr.PTZ I V!v T]9Ur]9NNS]_VZMg STR] K R SRoT > v^XVTv M[]bXkSPU^P U^]YaY])SM[Zr ^v SPfS]9QZTc^wPYXk;a[V I k Pwr.Mv M{XMOSTMON K Q K t]9wrTNMOrcv^ X V+ Tv M ]bXkSPU^P\`tMOrNT U^]YaY]JPS]\TNMYM[ZWTv
J
w
+ L> J m 6 |oTH H $ - 4Y Ym, +
m
J
L
K¢ H
;U v M 6 C aY]9R&PS}v T I wMOr I TTcj] C T Nw Xk I R MOrNTc VWYXVefTQ I VDUr]9SToMOQ"r] I wr.Mv M{XMOST&V
`tMOrNT m] I ZTo"wP7TNw Xk I ]9N K R SRoT*rTS] c9M I XTJPS]jTabWM I ZS] c9NPb SP)T I wPYXk;a9PW^]9Zk)v^XVfWqdmT I XOM ST&Vr]Ya_XTmSqg `0TabTmM I RTg"WM{XTmTS K M[Zr ^v SPhwr.PWMOrTZkcmZP 4 K ¢3¢
#H a GF LiF:
M I ZkDP^v SPm] I ZTmS]_V"N6]9ZrTo]hw&XP^ZSP I ZT 4 /L"
L( K S]9R I PP^ZWM[Z I ZW9M[Z I Z]9ZT I ZTR&M Qo v^XV iP;a9PSPWc Km v^XV `tMOrNTPSPW K S]_ V N6]9ZrTo w&XP^ZSP I ZTc9SM[Zr ^v SP S]9QZT I r.Mv&
SMYM XtiPQsWM{XTmTSq K t]9wrTNMOrcw&XP^ZSP I Zk
m] I ZToWqdr];f]9M[Z I VsmMOr.Mah`SRoT rTS] R]9R 4 , K¢ ]Jw&XP^ZSP I Zk7ZPR]\R]9R
GF J #H GF LiF
L GF J 4 m , GF LiF
rL
K¢ E
U;v M , P iP;abS]bm]9M[Z"W;a_VZTM I XMv]7wP I wTSPWqdN2TSv MOR I ]9N $c K0J r]9Zk7wr.Mv M{XwP W I PP^ZSP;lfMOST&V^g K ¢¢3 u K ¢ E SMYP iYg^P^v TNP)TaO aY]jSMYP^v SP;abS]bmSP I ZT\Pwr.Mv M{XMOST&V`SRo TT K rTS]\wrT r.Mv I Z]9WYXMOSTMfW;aY]9TNP^v MOQ I ZWT&V
T`SRoT&VrTS] C W^]; SqdMnTS I Zr NMOSZq K ]^v]bmTc I P ir]9SSqdM WybZPQ"UOX ]9WM9cT&XX I ZrTr tZ"TgT I wPYXk;a9PW^]9STM)S]\wr.P I Zqg
wrTNMOr]Yg K ¢ cUOX K c 3 cUOX K 8c G cUOX K K
J
r58),'y3|?c ])aY]9ZMONWqdR&Xtm]9tZ K n]9R&PW^] WMOr.PYVZSP I ZkwMOr.MOWM I ZTm] I ZTo hW I P I ZPYVSTM c M I XT"v P\WR&XtmMOST&V
wPYXVDPS]Jiq0X ]JW\P I SPWSPN I P I ZPYVSTT 0 6 MlfTZM$aY]^v]bm +Wwr.Mv I Z]9WYXMOSTT W;aY]9TNP^v MOQ I ZWT&V K : ir]9ZTZMWSTN6]9STMS]ZPcmZP N6]9ZrTmSqdM7y_XMONMOSZq WP;abN^efMOST&V!P^Z^XTmSqP^ZS XVxZPYXkR&PsNM_fv I P I Mv STNTr.PWS&V^ NT K XMv PW^]9ZM{XkSPcwrTsN6]bXPN WMOr.PYVZSP I ZkDwMOr.Mg^P^v] W ;uM I P I ZPYVSTM\v]9M[Z I V [qdN wPr&V v R&PNZMYPrTT
WP;abN^efMOSTQ K rT
R]9R&PN I PP^ZSP;lfMOSTT
NM_fv c T ZMYPrT&VDWP;aO N^efMOSTQ"r]9iP^Z]9M[Z 0 T S]9Qv TZM % [N6]9ZrTo 7TDWMOr.PYVZSP I ZkwMOr.Mg^P^v]Ta HK XV7wr.PTabWPYXkSqg P I SPWSPU^P\ W [M I P I ZPYVSTM K =
L
J o + ,.- cU;v M H 8 J J H m 9 L + ,.- J $ Qo $ - J H % < ^/D % < D H % p+wr.Mv I Z]9WYXMOSTT"W;aY]9TNP^~ v MOQ I ZWT&VX ~ H BP J D + ,.- BcU;v M ^/D H + ,.- 83< ^/D D H + ,.- J + ,.- < ^/D J 83< < D H 9 9 < < H ^ D H 8 < J % iP;a9M &? #$&%
I ]9wTlfMON U^]9NT&XkZPST]9S PwMOr]9ZPr q ¢ 8 + ,. %8
K ENQ
J
g a gro
9
L
~ KJzm < %F Jzm
? =
B B
'7
>=
=
'=
@7
A
CDCDEGF7H 8CDCDEGF7H 8.E606.=1+41KA 8\(3 8 A E H.= A.3 +yA :@5.5 1 ®MPWXWLRTEYDZUZ[ZR}ZEY^NUa EN°ti `ZQ]QpUFMPWXWXQbcd`Z[ZQ¥O/UFM]\ RTQLUZ`ZEdWLDZ[¯^NOYM·`FM5efEHUaEYDZefEY^NQLGZWLDZOPud
w$QLRg}ZEYDFQLP` OZ[FM KHQP7x
¬DFE/RTDE bQXD&°HSpDZ{ cdRMNlF}ZUZP[ LZQLR"`ZQEN°]cY\]MPDFQbKd{H`ZE&RTQbKdeFM¸cal[fKd[}ZEYDFQLP` OZ[FM K}ZE]KHDE b[ZDFQbKd{H`ZEHIYE,\ `FMPeFMN0x d5}ZUaQj^NQbKd[ZR \]MPOH[ZWL[ZRTEdWLDZ{¯MPRT}fKd[ZDNuY^NSCUFMPWXWXQbcd`Z[fc @ EYD±B `ZQLUZIH[Z[O&`Z[d\ efEtB `ZQLUZIYQXDZP[ LZQ]WLefEHGqEN°]KNMPWLDZ[mx Z t_ ^ l It^NQ ^ | UFMY^N[NufW yzMPW¯[Z`ZDFQLUaQ]W¸udQXDEN°]KNMPWLDZ{B `ZQLUZIH[ZGgRT`ZEHIYE RTQL`Z@{ J$[ cdRTS·ax `·WL`ZEZ l LZDFE$\]MPOH[ZWL[ZRTEdWLDZ{oEYD&B `ZQLUZIH[Z[ ² OHEt\ `Z[ZeFMPQXk DmlZ ²eF] MPe3 [3O/+ \]MY^ZDM LZQ,¨ lfEYD3[Z`ZDFQLIHUZ[ZUaEti OYMP`Z[fc}ZE È 6È b ^ x V xP¬KHc}ZUFMPOH[fKd{H`ZEHIYE5EH}Z[ZWXMP`Z[fc$`Z[d\ efEtB `ZQLUZIYQXDZP[ LZQ]WLefEHG¯ [d\ [ZeZ[mlYeFMPeo[o}ZUZ[ EYDZSpWLeFMP`Z[Z[ WLO]cY\]MP`Z`ZEHIYE5WXEdWLDFE]cd`Z[fc \]MY^ZDM LFM$¨ lteF@M bQXDZWbco^NEdWLDFMPDF<E LZ`ZSpR(\]MPRTQL`Z[ZDZ{·}ZEYDFQLP` OZ[di M K±`FM p iµnud`ZPe OZ[Z$0x r¥UZ[B DFEHR"[Z`ZDFQLIHUFM KdS }ZE `FDM LZ[Z`FMPzDKHEHIYMPUZ[ZpRTP[ LZQ]WLeZ[(UFMPW k EY^N[ZDZ{HWbc }ZUZ[ ÉÊ ld[¯[ k }ZUZ[F^NQXDZWbcdc EN°HUaQj\]MPDZ{$UNudeFMPRT[,e }ZUZ[ gf ^ x V x0vMPefEHGYc UaQLRTQ]WbKHQL`Z`ZSpG,e¬}ZEY^fi [ZOHEY^N[ZDJeJeFDM LZQ]WLDZOHQL`Z`ZE(}ZUFMPOH[fKd{H`ZEHRvuhEYDZOHQXDNual¡cdO]KHcdQXDZWbcqWbKd [ J$efEHR IHUNud°HSpRpl kDmEYxÄ^ eml xÄk }ZEYE]DfKdch`ZEd[JWLDZ}Z{HUZ [ZIH`ZEHUZ[ZUNudQXDmlT`FMP}ZUZ[ZRTQLUmlvILKfud°dEHeZ[ZQ¯udUaEHOH`Z[gO6}ZEYDFQL`POZ[FM KHQPlTQ]WbKd[gDFMPefEHOHSpQ Q]WLDZ{Zx h
E]KHQ]Q3UFMP [Z`Z[ZUaEHOYMP`Z`ZSpGgRTQXDFEY^_\]MPefKd LFMPQXDZWbc_O(WbKHQj^dud
w$QLRpxA¬S LZ[ZWbKd[ZR1}ZUaEH[d\ OHEY^N`Nud xm
[ZpzQLUaQLP` OZ[ZUNuHcq^N[FMPIHUFMPRTRTS1UZ[ZWPx ¦ x©¨,}ZE ² [6WXEN°H[ZUFM¸c LfKHQL`ZS·lm}ZE]Kf u LZ[ZRudUFMPOti `Z QL@ `Z [Z² Q kV +P ² ² @ ² 4~v Z ² @ ² z x©¨XË § ¦ WL}ZUFMPOHQj^YKd[ZOHEdQ5}ZUZ[ È ² È b ² ] xd®TKQ J$[Z O$B DFE$ud UFMPOH`ZQL`Z[ZQPlZRTDE b`ZEoWLO]cY\]MPDZ{oEN°HUaQj\ eduoKHEHIYMPUZ[ZpRM$[
Ë
7 !%
PM RT}fKd[ZDNuY^du @ }ZUZ[°dE]Kd{@J$EHG¯B `ZQLUZIH[Z[mx !" # $ ' =D6u bQL`Kd[Z`ZQLGZ`ZSpGq}ZE3}ZE]Kd LfKHQL`6UfcN^ZM §¦ x ËfÌ x I u LZQXDFEHR WLDZUNudeZDNudUZS n lFWXEHILKNMPWL`ZE §¦ x Ë lZ[ZRTQ]QLRË WbKNMPIYMPQLRTS k
δG
=
48.C658705
+
/ . - . - 0 - 0/ . - - .. .
) *) *
+
% &% &
W
+
F(E) W
+ ,+ ,
W
$
# #$ # #
F(E) W
F(E)
! ! " ! "! " "
F(E) ' (' (
21
¥r QLUZOHEdQ¬[d\p`Z[ Q]WLDZ{ ' xK b`ZS_UFMPWL}FMY^ZMPDZ{HWbc·`FMpEYDZ^NQbKd{H`ZSpQ LFMPWLDZ[mlF`ZQ/WXEdQj^N[Z` QL+ `Z`ZSpQoRTQ b$^du±WXEN°dEHG`Z[EY^N`ZEHG¯Kd[Z`Z[ZQLGmx Ì ;/@M b$^NEHGh}ZUaEdWLDFEHGqKd[Z`Z[Z[_WXEdEYDZOHQXDZWLDZOPudQXDRT`ZDE b[ZDFQbKd{ n / It^NQ | `FDM LFM Kd{ti `FM¸cDF<E LZeFMNl / | efEH`ZQ LZ`FM¸cax ;/@M b$^NEHG OHE]Kd`Z[ZWLDFEHGKd[Z`Z[Z[6R WXEH}Z EdWLDFMPO]KHcdQXDZWbcRT`ZDE b[ZDFQbKd{ ./ x efA¬EdSpEHUFUF@M ^Nb[Z`FQL`ZMP[ZDFQPMPlÄRWXQ,EdQ/+ EYDZOHOHQLQXU DZJ$WL[ZDZ`mOPudx
w$Q]Q^ZMP`Z`ZEHGg^N[FMPIHUFMPRTRTQPl WbKHQj^dudQXD}ZUaEH[Z`ZDFQLIHUZ[ZUaEHOYMPDZ{(}ZE 1 q r¥EdWbKHQ B DFEHIYEEYDZOHQXDsWbKHQj^dudQXDsudRT`ZDE b[ZDZ{`FM Kd[Z`Z[ZGmlM | LZ[ZWbKHE,\]MPRTeZ`NudDZS k }ZQXDFQbKd{ZlEYDZ OHQ LF MP¨
w$ln[ k It^NzQ QLUZ RT[d| i LFMPLZWLDZ[Z[PWbKHOFEMPRpOHx E]Kd`Z[ZWLDZS k @
x a)
x
x x1
x2
x
x1
x2
b)
c)
d) x3
x4
x
x
48.C65 5 x1
x2
x
x x1 x3
x4 x2
¥UZ[ZRTQLUZSC^N[FMPIHUFMPRTR}ZEHeFM]\]MP`ZSs`FM,UZ[ZWPxZËZx x.
¬DZ[ZR^N[FMPIHUFMPRTRMPRWXEdEYDZOHQXDZWLDZOPudzD DFMPeZ[ZQ·OHS¬i UF@M bQL`Z[fca p s n¯ Pn¯ Pn¯ / z n V } V } V V r
*<
p p p
'
s
n n n
!
¦
¯ Z / n P ¯ n P ¯ n V V V z s } V } ¯ V n Pn¯ } } } } n¯ Pn¯ / Pn¯ s V V V } V } } } n¯ P n¯ 6 n¯ V Pn¯ / Pn¯ V V
z
z¤
EHOHE]Kd{H`ZE\LFMPWLDFEuY^NEN°H`ZSpRCEHeFM]\ SpOYMPQXDZWbcq`ZQ efEdEHUF^N[Z`FMPDZ`ZEdQ }ZUaQj^NWLDFMP O]KHQL`Z[ZQPlÄM[ZRT}NuHKd{HWji `ZEdQPxr¥UFMPOH[fKNM^N[FMPIHUFMPRTRT`ZEHGhDFQ k `Z[ZeZ[gO[ZRT}NuHKd{HWL`ZEHRC}ZUaQj^NWLDFMPO]KHQL`Z[Z[JEHeFM]\ SpOYMPzDZWbc6}Z<E LZDZ[ DFMPeZ[ZRT[ bQPl¬eFMPeOJefEdEHUF^N[Z`FMPDZ`ZEHRpxnA¬RTQ]WLDFEnud`ZPe OZ[ZGsUZ[Z`FMJ[}ZEYDFQLP` OZ[FM KHEHOOt\]MP[ZRTEY^NQLGdi WLDZOH[fc_`FMY^NEq[ZWL}ZE]Kd{t\PEHOYMPDZ{6[ k nudUZ{HQjiµEN°HUFM]\ S·x r¥UZ[JB DFEHR1eF@M b$^NEHGOHQL U J$[Z`ZQ±WXEH}ZEdWLDFMPO]KHcdQXDdi Wbc RT`ZEDb[ZDFQbKd{ 4 ~ p  l EH}ZUaQj^NQbKHcd
w$[ZG6WLO]cY\ {±RTQ b$^du(Ëtiµ[ZRT}NuHKd{HWXMPRT[ [ nud`ZPe OZ[ZG3UZ[Z`F M LFMPWLDZP[ Om lYV [ Ëtiµ[Z RT}N uHKd{HWXEHR Â Kd[Z`Z[Z[ Ot\]MP[ZRTEY^NQLGZWLDZOH[fca>x r¥E/OHWXQLRh`ZQj\]MPOH[ZWLV [ZRTSp R Ëtiµ[ZRT}NuHKd{HWXMPR}ZUaEH[d\ OHEY^N[ZDZWbc[Z`ZDFQLIHUZ[ZUaEHOYMP`Z[ZQPx ®M]\¸KdP[ LZ`ZSpQ·^N[FMPIHUFMPRTRTSuY^NEN°H`ZEo}ZUaQj^NWLDFMPO]KHcdDZ{$WXQt°dQ¥eFMPe¯OHefKNMY^NS"O$MPRT}fKd[ZDNuY^du&}ZQLUaQ k EY^ZM LFMPWLDZP[ ORTQ b$^du3DF<E LZeFMPRT[ [ / xFyzMP}ZUZ[ZRTQLUmlF}ZQLUaQ k EY^ lF}ZUZ[efEYDFEHUaEHR`ZQ·}ZUaEH[ZW k EY^N[ZDOt\]MP[di RTEY^NQLGZWLDZOH[fcW$^NUNudIH[ZRT[ LFMPWLDZ[POFMPRT[(WL[ZWLDFQLRTS·l [d\PEN°HUFM@b$MPQXDZWbcWLOHEN°dEY^N`ZEHGnud`ZePOZ[ZQLGhUZ[Z`FMNl M$}ZQLUaQ k EY^ZMPRWzUFMPWXWXQbcd`Z[ZQLR`FMo^NUNudIH[ k LFMPWLDZP[ OFM k WXEdEYDZOHQXDZWLDZOPudzD^N[FMPIHUFMPRTRTS·lN}ZEY^NEN°H`ZSpQ [ n`FM,UZ[ZWPxFËZx xF
[FMPIHUFMPRTRT`FM¸c3DFQ k `Z[ZeFM¯}ZEt\ OHE]KHcdQXD^dudRMPDZ{&E RT`ZEHIYE zEH`ZEH`Z`ZEHIYEgOt\]MP[ZRTEY^NQLGZWLDZOH[fcO WL[ZWLDFQLRTQ }ZEY^NUaEN°H`ZQ]Q±WLRpxvILKax xvA eFMDLZQ]WLDZOHQ}ZUaEdWLDFQLG J$QLGmlv`ZE6O6DFE bQ3OHUaQLR cJUaQXM Kd[ZWLDZ[PLdi `ZEHGRTEY^NQbKd[ RTSCUFMPWXWLRTEYDZUZ[ZR MPedufWLDZP[ LZQ]WLeZ[ZQ$zEH`ZEH`ZS·lOt\]MP[ZRTEY^NQLGZWLDZOPud
w$[ZQ$W·B¸KHQLeZDZUaEH`FMPRT[ }ZEdWLUaQj^NWLDZOHEHR ^NQ]zEHUZR,M OZ[ZEH`Z`ZEHIYE¯}ZEYDFQLP` OZ[FM KNMNx AB DFEHR"WbKf u LFMPQ$Ot\]MP[ZRTEY^NQLGZWLDZOH[ZQ$}ZUZ[Z`Z[ZRMPQXD OH[F^ ÇÁ ËZx ÇÁ ¥
Ë It^NQ
\
"! $#'(^ %'( ) *
| efEH`ZWLDFMP`ZDFM,B¸KHQLeZDZUaEH`diµzEH`ZEH`Z`ZEHIYE&Ot\]MP[ZRTEY^NQLGZWLDZOH[fcalM Á ÇÁ ËZxSq R Z R Á ¡ | nud`ZePOZ[fc$UZ[Z`FM¥zEH`ZEH`ZEHOZxt¬KHc/MPedufWLDZP[ LZQ]WLeZ[ k zEH`ZEH`ZEHO Á È Á È l]It^NQ | WLefEHUaEdWLDZ{ \ OPudeFMNx R 1'0%3 ( '/(3( (( (5(3()%( (3 '/ "!# %P' (#+: NP %( $ "!# $ +: +:F3 " 2# 0)a- !g%(56 a
R(
TQ
,
:,
B,
+2 :3
.7
!&(!L!0 %(5Q ( @,(5620.# $&% '=Q 05(3R(( '/16382&( '0%P & -2 + %(56U5 $!0T((3 ' 1M&#;1 B A 9N-6.F 9 G 2 + 2# %(P(H CDCDEGF7H 8 [ZRT}NuHKd{HWLS·xa
[FMPIHUFMPRTRTS^YKHc ] OHSpILKHcN^YcdDDFMPem r
48.C65 5
Γ =
+
+
+
+...
S !%
du RTRM¯Ë > [ZRT}NuHKd{HWXEHO » WXE k UFMP`fcdQXDZWbca xaUFMP [PLZQ]WLeZ[ZR"B¸KHQLRTQL`ZDFMPR WXEdEYDdi OHQXDZWLDZOPudzDJEN°HSLZ`ZSpQ¯MP `FM Kd[ZDZ[PLZQ]WLeZ[ZQ¯OHSp UFV M@b QL`Z[f ca nud`Z ePOZ[Z[JUZ[Z`FM n¯ laKd[Z`Z[Z[_Ot\]MP[ZRTEti ^NQLGZWLDZOH[fc lF[Z`ZDFQLIHUZ[ZUaEHOYMP`Z[ZQ}ZE eFM@b$^NEHRvu±OH`NudDZUaQL`Z`ZQLRvu[ZRT}NuHKd{HW¸ua x ¬KHc/^NOPu k LF MPWLDZP[ LZ`ZS k nud`ZPe OZ[ZG,UZ[Z`FMNl]eFMPe[o^YKHc·EY^N`Z<E LFMPWLDZP[ LZ`ZS k ltEHeFM]\ SpOYMPQXDZWbcOHEt\ RTEDb·i `ZSpR1W¸udRTRT[ZUaEHOYMP`Z[ZQ3°dQ]WLefEH`ZQ LZ`ZS k }ZEdWbKHQj^NEHOYMPDFQbKd{H`ZEdWLDFQLG^N[FMPIHUFMPRTRpxÄyzM]\PEHOHQLR ^N[FMPIHUFMPRTRvu ;0/@: aP1>C 98 H.= H.E 5,A 8(/= `ZQL}ZUZ[ZOHEY^N[ZRTS k ^N[FMPIHUFMPRTRCEH}ZUaQj^NQbKHcdQXDgDFMPeJ`FM]\ S¬i OYMPQLRvud H.E 5,A 8(/=CDC 1fC / F bQbKHEHGLFMPWLDZ[POZQeZOYM]\ [Nud}ZUNudIYEdQPl]}ZEdWLefE]Kd{Heduz}ZUZ[RMPefWL[ZRM Kd{H`ZE
OHEt\ RTEDb`ZEHR}ZQLUaQj^ZMP`Z`ZEHR }ZUZ[ WLDFE]KdeZ`ZEHOHQL`Z[Z[±[ZRT}NuHKd{HWXQ OHQbKd[PLZ[Z`FMo}ZQLUaQj^ZMP`Z`ZEHG¯B `ZQLUZIH[Z[ ² + b )21 x A EYDZW¸udDZWLDZOH[ZQ$UFMPWXWXQbcd`Z[fc±n ud`Z ePR OZ[fcUZ[Z`FM LFMPWLDZ[POZS ^ZMPQXDZWbc±EN°HSLZ`ZSpR OHSp UF@M bQL`Z[ZQLRp ¨ ËZx ¦ ² Z n¯ Guv ² m¥DFEN°HS«OHS cdWL`Z[ZDZ{Zl
eFMPeOt\]MP[ZRTEY^NQLGZWLDZOH[ZQJWhzQLUZRT[ZEH`FMPRT[CO]Kd[fcdQXD`FM^N[Z`FMPRT[Zedu LFMPWLDZP[ OZS·l `FMPGF^NQLRnud`ZePOZ[ZUZ[Z`FM\LFMPWLDZ[POZS O}ZUZ[ZW¸udDZWLDZOH[ZQ¯WbKNMP°dEHIYE±efEH`ZDFMPeZDZ`ZEHIYEOt\]MP[ZRTEY^NQLGZWLDZOH[fc r¥ EdWL ef/ E]Kd {Hed u p z QL UZRT [Z/ EHx `ZS ^NOH7[ b/udDZWbc(`FMPRT`ZEHIYE±°HSpWLDZUaQ]Q LFMPWLDZP[ OZS·l¡Q]WLDFQ]WLDZOHQL`Z`ZEOHEdWL}ZE]Kd{t\PEti OYMPDZ{HWb_c cµMY^N[FMP°YMPDZP[ LZQ]WLeZ[ZNR en}ZUZ[Z°]Kd7[ bQL`Z[ZQLRplZO,efEYDFEHUaEHR^N[Z`FMPRT[ZeFM,zQLUZRT[ZEH`ZEHO,[ZWLefKd LZQL`FM,[ \]MPRTQL`ZQL`FMoB pzQLeZDZ[ZOH`ZSpR\]MP}FM]\]^NSpOYMP
w$[ZROt\]MP[ZRTEY^NQLGZWLDZOH[ZQLR LFMPWLDZP[ OZSWXMPRTEHGW·WXEN°dEHGm.x r¥Eti eF@M b[ZDFQP l LZDFEB pzQLeZDZ[ZOH`ZEdQ5Ot\]MP[ZRTEY^NQLGZWLDZOH[ZQ5OHEt\ `Z[ZeFMPQXD3OHE$OHDFEHUaEHRJ}ZEHUfcN^NefQ5}ZE$Ot\]MP[ZRTEY^NQLGdi WLDZOH[ZWzzQLUZRT[ZEH`FMPRT[ [3}ZUaQj^NWLDFMPO]KHcdQXD±WXEN°dEHG3`Z Q LZDFEo[Z`ZEdQPldeFMPe¯efEHUZUaQbKHcdDFEHU±}fKHEYDZ`ZEdWLDZ{ > }fKHEYDZ`ZEdWLDZ{&zQLUZRT[diµIYM]\]MNx yzMPGF^N[ZDFQpWXEN°dWLDZOHQL`Z`ZE > B `ZQLUZIYQXDZP[ LZQ]WLedud LFMPWLDZ { LFMPWLDZP[ OZSO5}ZQLUZOHEHRq}ZEHUfcN^NefQn}ZEzB pzQLeZDZ[ZOti `ZEHRvu6Ot\]MP[ZRTEY^NQLGZWLDZOH[Z$x p\X u LZ[ZDFQ¯UaQj\XuHKd{HDFMPD_}ZUZ[6B `ZQLUZIH[Z2[ LFMPWLDZP[ OZS ² b ² [ ² c ² x r¥EHeF@M b[ZDFQP l LZDFE }ZUZ[h`ZQ&WbKd [ J$efEHRRM KHEHR [ ² ² }ZQLUaQL`ZEHUZRT[ZUaEHOHeFMnud`ZPe OZ[Z[gUZ[Z`FM RTDE bQXD6°HSpDZ{ KHEHIYMPUZ[ZpRTP[ LZQ]WLeZ[qOHQbKd[ZeFMN0x r¥E]Kd{t\XuHcdWL{±DFQ]EHUZ[ZQLG6OHEt\ RvuYw$QL`Z[ZGmlm}ZUaEdW¸udRTRT[ZUNudGZDFQ OHWXQ KHEHIYMPUZ[ZpRTP[ LZQ]WLeZ[&°dE]Kd@{ J$[ZQ¬OHefKNMY^NS[,}ZEHeF@M b[ZDFQP nud`ZPe OZ[Z[ }ZEH}FMY^ZMPQXD O EN°]KNMPWLDZ{ [Z`ZDFQLIHUZ[ZUaEHOYMP`Z[fcalQ]WbKd[ ³ t & ÂZ ËZx Ë t LÂ ´ ÂZ Âa Z ¤
¬DFEB eZOH[ZOYM KHQL`ZDZ`ZE Z L l¡[h}ZEtB DFEHRvuhRT`Z[ZRM¸c LFMPWLDZ{EYDYKdP[ LZ`FMEYDh`NuHKHc6}ZUZ[ Â + x r¥E]Kd`FM¸c3OHQLUaE]cdDZ`Z±EdWL DZ{ [d\¸Kf u LZQL`Z[fczEH`ZEH`FM O Qj^N[Z`ZP[ ONuOHUaQLRTQL`Z[Q]WLDZ{ s Q x T Â Â ~ L ¤ ËZx >Ë q j ~
¦ R } p\ EYDZOHQXDFM ËZx >Ë q OH[F^N`ZEZ l LZDFE_[d\¸Kf u LZQL`Z[ZQzEH`ZEH`FMq}ZUaEH[ZW k EY^N[ZD}ZUZ[ xA¬QLUaE]cdDZ`ZEdWLDZ{ [d\¸Kfu LZQL`Z[fc±udRTQL`Z{@JoMPQXDZWbc}ZUZ[ É [EHeFM]\ SpOYMPQXDZWbcUFMPOH`ZEHG`NuHKd }ZUZ[ x ÄQL}ZQLUZ{`FMPGF^NQLRrUFMPWL}ZUaQj^NQbKHQL`Z[ZQ_}ZEgudILKNMPRpxp®MPWXWLRTEYDZUZ[ZROHSpUF@M bQL`Z[ZQ ËZx >Ë q [mlnOHRTQ]WLDFE DFEHIYEZl nud`ZePOZ[Z[ \]MP}Z[ZWLSpOYMPQXDZWbcDFMPem p 4 ~ ¢ p Q TF u ËZx ,Ì Q TÇ u Á Á 6 ¤ A¬QLUaE]cdDZ`ZEdWLDZ{&}ZQLUaQ k EY^ZM ' Q]WLDZ {Z } LÂ 4 ~ p t t p Å ¤ ËZx x NmMP}Z [ J$QLR_zEHUZRM Kd{H`ZE/WLefEHUaEdWLDZ{eFMPe + lF[ ° uY^NQLR"W LZ[ZDFMPDZ{¯}FMPUFMPRTQXDZUaEHR"UFM]\¸KHDE bQL`Z[fc lM `ZQ ox r¥UZ[B DFEHR"O&OHSpUF@M bQL`Z[Z[ ËZ Sx q >u bQ/RTDE b`ZE }ZQLUaQLGZDZ[ e}ZUaQj^NQbKfu Z lF`ZQ/`FMPUNu J$[ZO&}ZUZ[±B DFEHR\]MPOH[ZWL[ZRTEdWLDZ[EYD 3 5¤ ËZSx q l `F4M J$Q b + ² x R r¥E]Kf u LZQL`Z`ZEdQo R O¯UaQj\XuHKd{HDFMPDFQo}ZUZ[Z°]Kd7[ bQL`Z[fc ËZSx qx r¥E]Kd`FM¸conud`ZPe OZ[fc UZ[Z`FMNlP\]MP}Z[ZWXMP`Z+ `FM¸c O EH}ZQLUFMPDFEHUZ`ZEHR"OH[F^NQPlFQ]WLDZ{ R R ¨ ËZxSq, ³ ¤ n n R n R n R ´q Z R A\¸cdO¥EdWL`ZEHOH`ZEdQTWXEdWLDFE]cd`Z[ZQ È Z udUFMPOH`ZQL`Z[fcUaQj^N[Z`ZIYQLUFM
W }ZEYDFQLP` OZ[FM KHEHR ËZSx qbQL`Z[ZQ$WoRT`Z[ZRTS k ^N[ZWLeZUaQXDZ`ZS k LFMPWLDFEYD6`FM±^NQLGZWLDZOH[ZDFQbKd{ti `ZSpQ·OHQjw$Q]WLDZOHQL`Z`ZSpQ WLRpxZzEHUZRvuHKfu qdx O,UFM]\]^NQbKHQ q xNy¥E,Q]WbKd[±WL[ZWLDFQLRM,`ZQLOt\]MP[ZRTEY^NQLGZWLDZOPuYi
woM¸calZRTEDb`ZE&}ZEdWLDNud}Z[ZDZ{¯}ZUaEtw$QPx A¬EdWL}ZUZ[Z[ZR LZ[ZOHEdWLDZ{3OHQbKdP[ LZ[Z`ZS }ZE¯EYDZ`Z@E J$QL`Z[ZVe(OHQbKdP[ LZ[Z`ZQ - la^ZMPQXDZWbcDFMPe(`FM]\ SpOYMPQji RTEHGzEHUZRvuHKHEHG ;5ud°dE s e - Z g ¹ » j | } 5 Ìdx ¿¬ OHSpOHEY^·efEYDFEHUaEHG/}ZUZ[ZOHQj^NQL`ml]`FMP}ZUZ[ZRTQLUml O R l ¨ , e Ì g Dx m¥DFEN°HSh`FMPGZDZ[WLUaQj^N`ZQ]QefEHRTRvudDFMPDFEHUFM
O Ìdx }Z E EdWL`Z EHOH`ZEHRvuqWXEdWLDFE]cd`Z[ZWL[ZWLDFQLRTS `ZQLOt\]MP[ZRTEY^NQLGZWLDZOPud
w$[ k LFMPWLDZP[ Oml¡\]MP}Z [ J$QLR EH}ZQLUFMPDFEHUZS [ - O }ZUaQj^NWLDFMPO]KHQL`Z[Z[(OHDFEHUZ[PLZ`ZEHIYE&eZOYMP`ZDFEHOYMP`Z[fca
Å Å Å ¹ xf» Q
x BTw|n - Å - Å Å ¹ xf» Q
x BTw| Ìdx ¦Y ÄQL}ZQLUZ{,}ZEY^NWLDFMPOH[ZR_B DZ[3OHSpUFM@bQL`Z[fc&O$efEHRTRvudDFMPDFEHU e j - Z g lf[3UFMPWLeZUaEdQLRgWLUaQj^N`ZQ]Q5}ZE DFQ]EHUaQLRTQ$A¬[ZeFMNxF®TQj\XuHKd{HDFMPD OHSpILKHcN^N[ZDDFMPe V ) ) Å T T p ¤ ¿¬ Å Å Å ) Å ) Ìdx Ë "5 J0(3( I ' (5 $!0F$3(! 3_F$#) 05 +:3 a- 3_F$#) 2$ '0%(_ %3 '0%3((3 I S&%(#+ 5 F#E+: 2 1F + Z O
+*
c
;,
Q
6V
V
O
' ((3 %( %PM%( +>,(05 %15(1 5 $!( (1$ 3TI
!
!
!
"!
#
_!
!
_!
+,
Q
6V
Q
R9
,
R(
;1
:+ 0 % d:,(05 %(56! G ,(56'0%(O3 ,((0 % J-%( $T( %(O 5 \ !
Z
* $
X(
It^NQ n Å ² [ n 5 ² º | \]MP}FM]\]^NSpOYMP
woM¸c[EH}ZQLUaQ b$MP
woM¸c±nud`ZePOZ[Z[ml Ot\¸cdDZSpQO&^N[FMPIYEti `FM Kd{H`ZEHRC}ZUaQj ^NWLDFMPO]KHQL`Z[Z[mx r¥EY^NWLDFMPO]KHcHc(B DFE6OHSpUFM@bQL`Z[ZQ¯O Ìdx Ë l }ZE]Kfu LFMPQLR OHSpUFM@bQL`Z[ZQ±^YKHc OHEdWL}ZUZ[Z[ZR LZ[ZOHEdWLDZ[m ¨ s - ² - ² ² Ìdx©¨ Z n v n v ¤ ¿¬ 4~¡ } Nm^NQ]WL{ | RMPDZUZP[ OFMV}fKHEYDZ`ZEdWLDZ[;WL[ZWLDFQLRTS Oª^N[FMPIYEH`FM Kd{H`ZEHR }ZUaQj^NWLDFMPO]KHQL`Z[Z[ Å ) p Å xvA¬SpUFM@bQL`Z[ZQO6eZOYMY^NUFMPDZ`ZS k WLefEN°HeFM k O Ìdx©¨ Z }ZUaQj^NWLDFMPO]KHcdQXDWXEN°dEHGefEHRTRvudDFM] i T DFEH UEH}ZQLUFMPDF EHUaEHO n ² - [ n ² x d5WL`ZEHOH`ZEdQ/}ZUaQL[ZRvuYw$Q]WLDZ OHE&OHSpUFM@bQL`Z[fc Ìdx©¨ Z }ZE WLUFMPOH`ZQL`Z[Z W Ìdx Ë O DFEHRpl.LZDFE&EH`ZE OHQLUdi `ZE O }ZUaEH[d\ OHE]Kd{H`ZEHR°YM]\ [ZWXQ/[mld\ `FDM LZ[ZDmlRTDE b QXD°H SpDZ{ [ZWL}ZE]Kd{t\PEHOYMP`ZE ^Z@M b Q/Q]WbKd[WXEN°dWLDZOHQL`Z`ZSpQ nud`ZPe OZ[Z[q`ZQL[d\ OHQ]WLDZ`ZS·x¡yzMP[Z°dE]KHQ]QOY@M b`ZSpG(}ZUZ[ZRTQLU6DFMPefEHG6WL[ZDNuN,M OZ[Z[6}ZUaQj^NWLDFMPO]KHcdzD \]MY^ZDM LZ[ E }ZUaEHOHEY^N[ZRTEdWLDZ[[^N[ZpnuY\ [Z[(zQLUZRT[ZEH`ZEHO&O&WbKf u LFMPGZ`ZEHR}ZEYDFQLP` OZ[FM KHQPlefEYDFEHUZSpQ$RTSUFMPWXWLRTEti DZUZ[ZRJOILKNMPOHQ NxfAWbKf u LFMPGZ`ZEHRJ}ZEYDFQLP` OZ[FM KHQzWXEN°dWLDZOHQL`Z`ZSpQznud`ZPe OZ[Z[3RTQL`fcdzDZWbc EYD¯EY^N`ZEHG&UaQXM]i Kd[d\],M OZ[Z[ }ZEYDFQLP` OZ[FM KNM¯e(^NUNudIYEHGmla}ZEtB DFEHRvu[Z`ZDFQLUaQ]Wo}ZUaQj^NWLDFMPO]KHcdzD OHQbKdP[ LZ[Z`ZS·lufWLUaQj^N`ZQL`Z`ZSpQ }ZEWbKf u LFMPGZ`ZEHRvu6}ZEYDFQLP` OZ[FM Kfua(x MS udOH[F^N[ZRpl LZDFEufWLUaQj^N`fcdDZ{nud`ZPe OZ[Z[JUZ[Z`FM±[q[ k }ZUaEH[d\ OHQji ^NQL`Z[fc±EHeFM]\ SpOYMPQXDZWbcIYEHUFM]\]^NE uY^NEN°H`ZQ]QP.l LZQLR^NQLGZWLDZOHEHOYMPDZ{ c OoKHEN° e¸lZ[ZWL}ZE]Kd{t\XuHc Ìdx Ë x 8 9fE AB1,9: AB1 e½¨ g lFILKax¡¨Hl l ¦ lFË [ e @g lFILKaxm¨Hl x @ 3@ (' !" # ' + :@H 8C 9Y10/D6.E H 8 8 yzMPGF^N[ZDFQ¬nud`ZPe OZ[Z"UZ[Z`FM È c ¨^NOPudR c WL}ZEdWXEN°YMPRT[maWL`FDM LFM KNM3[Z`ZDFQLIHUZ[ZUNuHc(}ZE EYD Ê }ZUZ[ È n¯ ^NE ² Ç Ê V lM$ \] MPDFQLR"DF<E LZV `Z EZlF [Z`Z DFR QLIHUZ[ZUNuHc}ZE x I UFMPOH`Z[ZDFQUaQj\XuHKd{HDFMPDZS·x / !" # [ ' \J\E 9 4:E A.31,HP16 8 9}X9f E 6 7 !% & 48.C65 5:9
yzMPGF^N[ZDFQ
B DFEYD¯efEHUZUaQbKHcdDFEHU¯O LFMPWLDFEYDZ`ZEtiµ[ZRT}NuHKd{HWL`ZEHRg}ZUaQj^NWLDFMPO]KHQL`Z[Z[3}ZUZ[¯RM KdS k b )21 l È Á È6b x 8 HPR 143"8.EDCP1DF C 5.8 H.=/-,
# %
( % 0
/
!(a/.
: $ ( %
898;: =B < : >@?BAC < C K DcZEC D HB 2P D FHG H'I/QSJLKNRUM=T O 2 : >@? A 6 < X K 8X :>@?BAY: : 4 Dc] ZZH ZED B 6WV 2P D HZQSRUT 2 : >@? A 7 %
( . # ( & ; %'& D : H@K : B=[ Z]\^P`_ @?BA : K ZED B 6cb)V : 2P QSRUT 2 >@? A \ d D gf f Hml K P Dc] Zn WH =h ek ZEDZ6 V I M b'i i j FG (aX = & . X +* ,
6 H* (
& + . = & 5 + K ZEDYpo [ rq3)tsW)0 8 .3. . !s .@0)0 1 )* H* 5* = :
: u . +* > ,
Dc] Z]HQ ( : %
: 60 & Dc] ZnW H ( -2 0 X Z]\ ´ 1: 0 % 1> 2 P >@?B3 A 2 4 Dc] WZH DL6 H1K . D · & · + , 2 2 0 X G G U K Z 6 N / Q V . J I - # ) - 3 # $ # %'& & ( P S WP 2 : Dc] X0H # . % & % %
: $ ( I 0 (
I ¹a 2(4 " 76N : 1 % # 1 2 . % + ]a =' 5 Dc] W ZH (
+Q P 6 3# . %
- 10 $ 6 d +! y I 0)$ 3# (
) < % ( < · 9 6 P & & LP ( = (
)0 * J 6 ')* iV + ]a Dc] X0HaI 0 %
# (
+QP 6 ! ! : /a >
1 # -
: $
( ( & ( ( % ( % $ $ ( - P - - OEI - P S WP !#"# $18:9@? 0 & % 11 E
:] dX 0 X C· B < 2 1 X =4D?>4A@ H!KP Z]R 8W8 < D32 4ED H 1 D32 4ED H4 Dc] WH d d DcZEC D H · ZED 2 GH> [ Z! 4 DIF KJDKGML [ Z # /" a - Z b ')* b (
1 : $ ( ( ; %'& "2 F DIF I )* u=I;@?BA.- C2D.- 0E0-4F*2GIH1JKAKLK(2M2(2C(ON(2DKDP/Q*2G'R.(2D.-O(R*'A+..- /SRKHQGT(RUFVA.-+W C2D.- 0E0EXYL.-ODKAKH & ]'&dXZ*'A \[ LK/^]_L.-/.KAKR./Q* [ LK( L.-_*'A+.KAK/10H1JKAKLK(2M2X P (2JK/1D.- R.(2DP(2M`MOM2/1D AKL.- P & N
Z('(RKM2/SRKH1RKM ,'aBb\/+/\- L.-_*'AKRKA+.K/+H1N('/OM2XcD.-]a`/1LKAK/`(R*'A+..- /SRKHQGd(Rfec]'& WHgH1JKAKLK(2M2Xc0Y0ELK(/a`AKR./^W *2/10ih j .k K ZnT k & °)(ml_R.(20n,PoL.-pJK/1DKM2XcqrMm]_C1*2GVFoF*2G>(RKXcH1N.- LKAGsH1JKAKLK(2M2(2qrM2('H1JKDKAKAK0
.KA'W M2('H1RKA>0E(/G a`LK(tJKDP('H1R.(UM2('H1JK(+* [ ] (2M- R [ HQG4A@ HN>L.- DV, /1LKAKa}JKDKA+.KAKLKLK('H1RKAsA~MU(2N(2L+..- R./Q* [ LKb(20Y(RKM2/SR./pce ]'& W H^& =4D?>4 @ HKP Z2
XP
>
e
u (2DK0-_* [ LK(2q R.( .KNKA ]_DP/1LKAG JKDP(I+*2/10-M R.(20co.KR.( M JK/SR*2/zL.-DKAKH & ]'&dX7I2Xg*'A Mm] GW RKX JKDKA+.KAKLKLKXc/tu@,'LKN * AKA , DKAKL.-V&Z°)(ml_R.(20n,sJK(~H1M2(2AK0 - L.-_*'AKRKA+.K/+H1NKAK0 H1M2(2qKH1RKM- 0 JK/SR*2GyA'] JKDKA+.KAKLKLKX P C2DKAKLK(2M2H1NKA P u@,'LKN * AKqUHS('(RKM2/SRKH1RKM ,'/SR<JK(+*2G'DKA']+- * AK(2LKLK(20n,I(2JK/1D.- R.(2DV,Po-LK/cM2('H^W JKDKAKAK0
.KAKM2('H1RKA6o'Ap- L.-_*'AKRKA+.K/+H1NKAK/H1M2(2qKH1RKM-`(2N.-+]_XcM- aRKHQGUHQ*2/^F','aBb\AK0EA 0 =IeeP > HKJ=Ie?> Hno'LK/ ee P > HaK _?e > Hn& V}DP/^]S,2* [ R.- R./t('HS( I'/1LKLK('H1RKAzL.-dJ*2('H1N('H1RKAzN(20EJ*2/1NH1LK(2C ( > (2N.-+]_XZW M- aRKHQGdD.- H1JK(+*2(/a`/1LKLKXc0EAyH1AK0E0E/SRKDKA+.KLK(ce b ]'& Z JK(TR./+(2DP/10E/ Zb AKN.-IN.- NdH ,'0E0n,pM2HS/1M2(m]_0E(/a`LKXdJ.- D'W LKX>H1DP/^FVLKA!>(2JK/1D.- R.(2DP(2M A o.A>('H1R.- M2AK0R.(+* [ N(UH1M+G]_LKXc/`C2D.- ugAKNKA 0 b #"%$ &' ( R #) 88 < ª < · 6 "+* &-, e !4@ª ew¹4w @ e !4@ª ew¹4w @ b P ew¹4w e F !G 4@ª@b G ew¹4w b e !4@ª@. e0/'& z1 e FVM2(2qKN.-\,5.KAKRKXcM- /SRyH1JKAKL2^&;b ZDP/^FVLKAK/OM2X.KAKHQ*2G'/10YLK/1b JK('H1DP/^FVH1RKM2/1LKLK(UJK(t(2JKDP/^FV/Q*2/1LKAKa}(2JK/1D.-+W R.(2DP(2MtM2R.(2DKA+.KLK(2C(UNKM- LKR.(2M- LKAG!3 0 7 7 e !4@ª e /¬ 4@ªN¬4@ '6587 d ¶ ¸ ¶ * £ d * ¸ ¶ , £ d , ¸mEe3;e ;= Ee3;e ; = ] @ QSRUT LNMPORQ+STNU VV>WRTYXOTSZ\[]QR^+_R`ba0c-b TNd Z TYb WeQ+STYWbfeghgQd Z ` i+WRXea8OTNd URTYTjgkP+-X, O+> SCZlc-T<mM2X.KAKHQ*'AK0 2 > C X +-, X QSRUTQ 1 X < l 8 2 2 Q 2 X e0/'&:/nw = ' ( 2 A QSRUT QSRUT = 1 = 2 2 d 2 X °)(+*V- C- G > @']>oKL.-R(FVAK 0 2 ' [ X43 Q > DZR > > l Q % 1>= e0/'&:/ 1 ) 1>= @'> ] A @'@']]: #"%$ \' ( @'] & 5 = > ( @'] C (
Z('(RKM2/SRKH1RKM2/1LKLK(Ko MyH1R.- RKA+.K/+H1N(20}JKDP/^FV/Q*2/ > [ @'X ] w¹4 @ w¹4dJK(+*,5..- /10 D.- M2LK(2M2/+H1LV,'a J.-S,2*'AK/1M2H1N','a M2('H1JKDKAKAK0
.KAKM2('H1R [ 0 e' ( ) & U 8 :' f8
!#"# 1$ 8I= ; >(/a`LK(~FV/1qKH1RKM2(2M- R [ AKL.-/.K/ 0 H1L.-/..-_*V-pL.- qKRKA 0ELKAK0n,'av..- H1R [ #"%$ oV-4]+- R./10M2('HSH1R.- LK(2M2AKR [ JK(\LK/1qpM2/^b\/+H1RKM2/1LKLV,'a\oVJK(+* [ ]S,2G'H [ - L.-_*'AKRKA+.K/+H1NKAK0EApH1M2(2qKH1RKM-+W 0EAM2('H1JKDKAKAK0
.KAKM2('H1RKA6& u A']_A+.K/+H1NKA 0ELKAK0- G..- H1R [ (2JKAKH1XcM- /SR FVAKHSH1AKJ.- * AKa\oZR6&E/ &M2(m]1W ?_,!a\FV/1LKAK/~JK/1DP/10E/1LKLKXc0 JK(+*2/10 l *2/1NKRKDP(2L'W FVXcDP( .KLKX J.- D6&
°)(ml_R.(20n,PonN.- NA My]+-FK-/.K/ 1 º'o M JK/SR*2/JK(µ`o.N(R.(2DKXcq FK- /SR @'] JKDKA : d >%C wOo.A wMtJKDP(RKAKM2LK(20YHQ*,5..- / &xH1R.- /SRKHQGdAKLKR./1C2D.-_*~JK(T,'C1*V- 0 0 +-, >%CT +-, ) >4cJKDKA w > @'] l 8 X j ]@ TVe?> = ]@ e0/'&:/ / < ' w¹4BJKDKA > @'] > C >%C >@?BAC C
+-, +-, y /1JK/1D [ o;JK('H1N(+* [ N', e = >e ' +?e >eno?'/1DP/10YLK/H.K/SRKLV,'a u@,'LKN * AKa X 4 JKDKA > @'] 4 #"%$ ' ) > e0/'&:/ K w¹4 JKDKA > @'] ¡
A>M2('HSH1R.- L.- M+*'AKM- /10 ?e >e JK( ¬ < > ¬ l e?>e ' e0/'&:/ º D > ¬ = > = RUw {ZR.(UJKDKAKM2(FVAKRyN~R.( .KLK(UR.- N(20n, a`/4AKLKR./1C2D.-_*,Po%.KR.(UA>MtJKDP/^FVXBF',b\/10 DP/ /1LKAKA6& 6- 0E/SRKAK0co!.KR.(IMH?'(+*2/+/BHQ*2(/a`LKXX0-_*'X @ d MUJK(FVAKLKX R./1C2D.-_* [ LK(20 M2XcD.-]a`/1LKAKA e0/'& K w Z0E(/a`LK(<JKDP(mW H1R.(~JK(+*2(/a`AKR [ B ' JKDKA @ wO: o6A B ' = JKDKA @ w`&'°)DKAsl_R.(20 0EX JKDP/1LK/+?2DP/1C- /10 :
: ]+- M2AKH1AK0E('H1R [ a H1N(2DP('H1RKA B [ \ (Rzl_LK/1DKC2AKAMs0-_*2(2q(2NKDP/+H1RKLK('H1RKA,'DP(2M2LG u /1DK0EA6&Yq)L.-/.K/ C(2M2(2DGPoK0EX *'AKLK/S- DKA']S,'/10]+- N(2LsFVAKH1JK/1DPH1AKA 0 X ;e ' ) [ ( \ = _r ;e ' ]e = e0/'& K ( : : : : : eL.KR.(Tl_NKM2AKM-_*2/1LKRKLK(UJK/1DP/(F',>N>AKLKR./1C2DKAKDP(2M- LKAKa JK(- ^&)°)(+*,5..- /10 3 ?e >A4 @ ' @ D > = ] 1 @ QSRUT = > Q ] 1 @ QSRUT 5 4 e0/'& K ( A*'A @ ) ?e >A4 @ ' > = @ ) QS 4 e0/'& Knz ) ) RUT >@?B A > ) CmFV/ ' 1 [ D|] J*2(RKLK('H1R [ HS('H1R.(+G'LKAKqUJKDK A ' 1 ?'/^]c,5.K/SR.-OH1JKAKLK(2M2(2C(4M2XcDP(/a\FV/1LKAGP& N .K/SRyH1JKAKL.-T,'M2/Q*'A+.KAKM- /SR MVFVM2('/ &
!#"# $'& xJK/1D.- R.(2D K. AKHQ*V- ..- H1RKA * t M AKLKR./1DKM-_*2/ w /+H1R [ 2 ±
' 8X E e < 4 E e ' e exe 4 2 2 2 2 2 b ± X X X - ) ' e E e ¬ < < ¬ &%°@*2(RKLK('H1R [ Z ' [ Dyo.HQ*2/^FV(2M- R./Q* [ LK(Ko 2 2 2 2 : X ± + ' 8 X E e @ < ' : l 2 2 D (- HOAKLKR./1DP/+H ,'/SR ±
e0/'& K /
e0/'& K K
) ' 8X 8X E e 2 e 2 ¬ @ < 2 < 2 ¬ 4 e0/'& K º CmFV/ l l l f(?'(m]_L.-/..- /SR>LK/1JKDKAKM2(FVAK0EXcqyN(2DKDP/Q*2G'R.(2D6o;JK(+*,5..- /10EXcq 4 H1M+G]_LKXc0 5 ,H1DP/^FVLK/1LKAK/10c& T
1 w w
°)/1DP/(FVAK0 N>AK0EJV,2* [ 1H LK(20n,dJKDP/^FVH1R.- M+*2/1LKAKa 0 xe ' ) )& y (2CmFK) 2 ) F G ± ) ' 8 X 8 X < < ¬L ¶ ) d )¸ £ ¶ ) d ) N¸ 5 2 2 ) ) ) ) $ $ $ ) ) ) ) b b b G FG - H1NKDP('/10YH1DP/^FVLK/+/`JK(UR./+(2DP/10E/H ZAKN.- 0 ' Qx l
)b ) ) b )
)b ) ) b )
)b ) ) ) b
e0/'& K !
e0/'& K
( - HEAKLKR./1DP/+H ,'/SRIR.(+* [ N(BM2R.(2DP('/EHQ*V- C- /10E('/ oSJK('H1N(+* [ N',xJK/1DKM2('/E/+H1R [ + ) AOLK/FK- /SR`M2N*V-FK MtLK/1JKDKAKM2(FVAK0EXcqsN(2DKDP/Q*2G'R.(2D6&%°)(+*,5..- /10
5 ) ) ) ) ¶ ) d )¸ £ ¶ ) d ) N¸ ' b FG ) bG ) @?BA : 2 2 < < ¬ ' ( 8X < >@?BA : 8 < 2 2 e = ¬ ) ) X 2 2 ) D X = 1 X 8 d X e E @ > B ? A : = ' ( ) < ( ( : ( A : q)R.- N6o.L.-R(FVAK0
X T
) ' :D
X
= :D
Q
1 X 1 X D ) A : ' D ) AY:
4
e0/'&¥º (
.KR.(UA>RKDP/+?'(2M-_*2('H [ & 7 8 9;:' z8
!#"# $ & c,FV/10 HH.KAKR.- R [ l *2/1NKRKDP(2LKX ?'/+HSH1JKAKLK(2M2Xc0EArAsM2('HSH1R.- LK(2M2AK0Y]+-+W M2AKH1AK0E('H1R [ (RTH1JKAKL.-OM4N(2L * / & Z(m] [ 0E/10zH1DP/^FVLK/+/ns'0- RKDKA * XJK(4('H1LK(2M2LK(20n,IHS('H1R.(+G'LKAKa C-+]+X HTe ' wOo ± e0/'&¥ºn ' h "! e = RN8 ² e3ª < ª# 4 d e³ V
1w1
A>D.-+] *2(/a`AK0 l_NH1JK(2LK/1LKX RV,>MtDGVF 0 ± ± ± * D * l l l l l l e0/'&¥º z 5 X 8 < ª 8 < ª ) 8 < ª e = .R ² e3ª ² e3ª ) ² e3ª # V e ³ e ³ e ³ d d d ZXBFV/Q*'AK0 A']\H ,'0E0EX-V ..- H1R [ V H w V 0 ' 1 Q l e0/'&¥º / >(/a`LK(U(?2X.KLKXc0Y(?2D.-+] (20D.-+] *2(/a`AKR [ A MUDGVFdJK( 0 ' = 1 ) Q 1 · = lll e0/'&¥º K A
( °)(FVH1R.- M2AK0 H1axFK-rM2XcD.-]a`/1LKAK/~F*2 G MrM2A.FV/dH ,'0E0EX H1DP/^FVLKA! (RS.*2/1LK(2M D.-+] *2(/a`/1LKAGh s l_NH1JK(2LK/1LKRKX MAsD.- H1NKDP('/10 H1N(?2NKA6& qc]S,5.KAKMpLK/+H1N(+* [ N(pLKA'] A!sJK(2DGVFVN(2MFV(2N.-+]+- R [ R.- N>L.-+]_XcM- /10n,' a !" $#&%(' )*# 2& y /+(2DP/10-x,'RKM2/1D¹a\FK- /SR6og.KR.(*2(2C- DKAKuc0 H1DP/^FVLK/1C( ns'0- RKDKA * X0E(/a`LK(4JKDP/^FVH1R.- M2AKR [ M4M2A.FV/ DGVFK- 0 1 4 e0/'&¥º º ' = 5 A V ,+ CmFV/ON.-]a\FV('/ FK - /1- RKHQ. G /&' 01 2 1 3C2D.- ugAKN(20 0 +
1
Fn =
2
n n−1
3 4
45'06(72698
?B(2N.-+]+- R./Q* H1RKM2(tR./+(2DP/10EX (tH1M+G]_LKX~C2D.- ugAKN.-R~LK/SRKDV,FVLK(<JK(+*,5.KAKR o']+- 0E/SRKAKMKo).KR.(UHS(2NKD.-+W b\/1LKAK/gLK/+H1M+[ G]_LKX`C2D.- ugAKN(2M/+H1R [ uB- NKR .KAKH1R.(N(20 ?2AKL.- R.(2DKLK(2C(JKDP(2AK[ Hl(/a\FV/1LKAGP& xL`(2JKAKD.-+W /SRKHQG\L.-H1M2(2qKH1RKM-N(20 ?2AKL.- R.(2DKLKXI0ELK(/a`AKR./Q*2/1q6o2M2(m]_LKAKN.- aBb\A!IJKDKAID.- H1NKDKXcM- LKAKATH1DP/^FVLK/1C( e0/'&¥º z cJK(LK(/a`AK± R./Q*'A 1 [ MUe0/'&¥º º M2[(m]_LKAKN.- aRtJK(R.* (20n,Pog.KR.(4H1JK('HS(?'(2M lll ² e3ª @ YM2HS/1C( e =61 lo|-dH1JK('HS(?'(2Md,'JK(2DGVFV( .K/1LKAG 4 H1M+G]_LK(2C( 5 ,H1DP/^FVLK/1LKAG ² e3ª M2DP/1, 0 /1- L>MtC2D.- ugAKN/ j& e³ e³ N y /+(2DP/10-~e0/'&¥º º EL.- JK(20EAKL.- /SRdA']_M2/+H1RKLV,'a R./+(2DP/10n,A>R.(Ra`/ & °)/1DP/1q.FV/10 NsD.- HSH10E(RKDP/1LKAKav.*2/1LK(2MpDGVFK-se0/'&¥º º ^& °)/1DKM2Xc/IRKDKAsC2D.- ugAKN.-M2(tM2DP/10E/1LKL (2 0YJKDP/^FVH1R.- M+*2/1LKAKA6&q ZN*V-F AK0E/+/SRyHQ*2/^F',W + aBb\AKq>M2A.F 0 X X ± *M2(m]_0n,b\/1LKAKq6&)°)(ml_R.(20n,d(2L LK/cAK0E/+/SRU(RKLK( /1LKAGINTM2(2JKDP('H ,I(?4(2D.R.(2C(2L.-_* [ LK('H1RKAtHS('H1R.(+G'LKAKq6& HS- 0E(20zFV/Q*2/ oFV(2JV,H1RKAK0co .KR.(4MxDP/^]S,2* [ R.- R./cM2M2/^FV/1LKAG\M2(m]_0n,b\/1LKAGOl_LK/1DKC2AG\('H1LK(2M2LK(2C(xHS('H1R.(+G'LKAG\A']_0E/1LKA*V- H [ L.-`T/24o -THS- 0E(UHS('H1R.(+G'LKAK/`('H1R.-_*2('H [ MtR.( .KLK('H1RKA>R.X /10`a`/ &)y (2CmFKT/2 * < ª ' = !R T/2 [ l e0/'&¥ºn F ZN*V-F~M2R.(2DP(2C(tJK(2X DGVX FVN.- + ) /+H1R [ X V ± ± ± * ± e = R. ) 8 8 h ² e3ªN¬ ² e3ª@ < ª < ªN¬ ' = 8 8 ² e3ª ² e3ªN¬ @ < ª < ªN¬ e0/'& ! w + ) ' ( e³ e³ ± e³ ± e³ d d d d ZXcJK(+*'LG2Gp,H1DP/^FVLKV /1LKAKV /\M ² e3ª ² e3ª ¬ @ fJK(UR./+(2DP/10EV /HV ZAKN.-Vo.JK(+*,5..- /10 * * £ 88 Te T e³ e /¬ Z e³ e !4@ªexe /¬ 4@ªN¬4@xe !4@ªe e /¬ 4@ªN¬4@ < ·Y < · /¬ l e0/'& ! 1 y /1JK/1D [ ]+- 0E/1LKF AK0 F JK(R./1L * A.-_* D.- HSHS/QG'LKb AG L.- Ts'u@,'LKN * AKa\o Tb e ' T ¶¥·e¸ e noZA M2X.KAKHQ*'AK0 J.- DKLKXc/`H1DP/^FVLKAK/`Mye0/'& ! 1 ZHQ*2/^F','aBb\AK0 (?2D.-+] (20 0 X X 7 7 e !4@ªexe !4@ªN¬4@ , ' 5.7 d ¶ ¸ ¶ * £ d * ¸ d ¶ ¸ Ee ;L.- HtAKLKR./1DP/+H ,'/SRAKLKucD.- NKD.- H1LK(yD.- Hl(FGb\AKqKHQG M2N*V-FrM o.N(R.(2DKXcqy(2JKDP/^FV/Q*2G'/SRKHQG>FVAKL.- 0EAKN(2q ..- H1RKA * Hxl_LK/1DKC2AG'0EA ?+*'A']_NKAK0EA>N _ry& + ) °)(FVH1R.- M+*2G2G e0/'& ! ( IA e0/'& ! TMfM2XcD.-]a`/1LKAK/e0/'& ! 1 ^o-zJK('HQ*2/^FVLK/+/ oZMfH1M2(2a ( .K/1DP/^F [ o M N X e0/'& ! w ^oKJK(+*,5..- /10 * X * *£ < ª ¬ < ª e0/'& ! z )+ ' = e ) 8 8 eTQSRQe3ª = ª ¬ ) d d F F {ZR.(RR.- N 0 X T e0/'& ! ! ' % _r & 4 ' D ) ) l y /1JK/1D [ o ]_L.- G 4o ( * /1LKAK0 JK/1DP/1NKDKXcRKAK/p('H1LK(2M2LKXfHS('H1R.(+G'LKAKqcw w ¬ E& ?Z*2Gsl_R.(2C(yJK(+*2/^]_LK( JK(F','0- R [ (OJKDP/^FV/Q*V-RtJKDKAK0E/1LKAK0E('H1RKA < > ) < < ) 1 X ) 8 1 e?> 4@ = ' ' + ) e ( DJ ) (
= RQ?e > ) = > = RQ?e > = > )
1 w /
1 ) !X ) 88 3e @4 l e0/'& = ' ) < < ) ( >X M2M2/Q*'A>(?'(m]_L.-/.K/1LKAK/ e3 4@ ) ' 898 1 ?e e?> > 4@= > 1 e?> Q ) @4 ) < e> DJ< > ) 4 e0/'& z ) ) )
( ) CmFV/ 1 ?e >4@% ' 1 [ ?e > = Q`RUT %nI& 6O- NrArM2X / oL.- 0 ?_,FV/SR ,FV(?2LK(dHH.KAKR.- R [ u /1DK0EAK(2LKX ?'/+HSH1JKAKLK(2M2Xc0EAyA>M2('HSH1R.- LK(2M2AK>@R ?B[ A ]+- M2AKH1AK0E('H1R [ (R> H1JKAKL.-tMUN(2L * / & ZX.KAKHQ*'AK0wAKLKR./1C2D.-_*}e0/'& z tJK( > $ oZAKH1JK(+* ]S,2GYR./+(2DP/10n, 64( A A R./+(2DKAKa 2M X.K/SR.(2MK& - HSH10E(RKDKAK0 H1L.-/..-_*V-THQ*,5..- qv w`&) q)) LKR./1C2DKAKDV[ ,'/10 JK( > 0
45'06(726
ω2+ i γ
ξ1
ω2− i γ
(-R(FVAK0
' 1 8 ?e > = QSR < > 1)e?> [
(
) q)LKR./1C2D.-_*d(R*'A+.K/1L>(R wtR.(+* [ N(tJKDKAv ) w 0
ξ2 45'06(726 7
(D l ) = ) QSRUT/ )
ξ1− iγ
e0/'& /
1wK
°)(+*,5..- /10
' R C e3 C e = ) ( ) = QSR
e0/'& K
y /1JK/1D [ JV,H1R [ w`&)q)LKR./1C2DKAKDV,'/10 JK( > 0
ω + i γ 2
ξ1
ω2− i γ
45'06(726
(-R(FVAK0
)[(D l ' 1 8 ?e > (
) = = R 1?e > ) = ) QSRUT/ ) y /1JK/1D [ AKLKR./1C2D.-_*d(R*'A+.K/1Ly(R wtR.(+* [ N(tJKDKAv ) w 0
e0/'& gº
ω + i γ 2
ξ 1
ω2− i γ
45'06(726
°)(+*,5..- /10
e e3 C = C ) = ) QSR
Z(?2AKD.- GDP/^]S,2* [ R.- RKXMt(FVLK(UM2XcD.-]X a`/1LKAK/ o.JK(+*,5..- /10 )) 8 X 0EX JKDKA!(FVAK0 N~M2XcD.-]a`/1LKAKa e0/'& ! ! ^&
+) '
< 8 X 3e = X = 1 e 9 )9 9 8 X ( < ) Q z
[ LK()AK0E/+/10 e0/'& 1 w w M M2XcD.-+W ( I Me0/'& 1 w w
"!$#%'&)(+*-, .-%-!/.10 , .-, .-,+2"-34%-!/5+6)!$#7#.-!98:*-;=.-%-?-!@ l_R.(2qrC1*V- M2/\0EX}D.- HSH10E(RKDKAK0 Mm]+- AK0E(FV/1qKH1RKM2AK/\l *2/1NKRKDP(2LK(2MdHIu(2LK(2L.- 0EA6&B A - JK(20ELKAK0coDKC R.( u(2LK(2LKX l_R.(UNKM- LKRKX N(+*2/+?- LKAKq>NKDKAKH1R.-_*2*'AEKC /+H1N(2q>DP/G\ F /SRKNKA6&IH -+] *'AE.C - aRyFVM-I('H1LK(2M2LKX RKAKJ.- u(2NLK(2LK(2M KJ dA ML KJ &)xR*'AEKC AK/ 0E/O\N F', LKAK0EA ]+- N*'aP.C - /SRKHQG M N R.(20coQKC R.(R.C - H1R.(R.- - N',H1RKAEKC /+H1NKA! u(2LK(2LK(2M(?2D.-+bI- /SRKHQG MLK(+* [ JKDKA L 'TS oc-U.C - H1R.(R.(2JKRKAEKC /+H1NKA! u(2LK(2LK(2MJK(+*2( ` N AKR./Q* [ L.-JKDKA M2HS/ Ly&9V N',H1RKAEKC /+H1NKAK/u(2LK(2LKX H ,b\/+H1RKM ,'aR M2(>M2HS/fNKDKAKH1R.-_*2*V-Ro JK('H1N(+* [ N',y]_M ,'N0E( ` N /SRfD.- H1JKDP('H1RKD.- LG'R [ HQG Mp*'a ?'(2q ,'JKDV,'C(2qH1DP/^FV/ & xJKRKAEKC /+H1NKAK/W` N /cu(2LK(2LKXYAK0E/1aRKHQGTR.(+* N(`MONKDKAKH1R.-_*2*V-RoHS(FV/1DX\N -+b\A! ?'(+*2/+/c(FVLK(2C(`- R.(20M\l *2/10E/1LKR.- DKLK(2qpGKKC /1qKN/ & e°)DKAK0E/1D~H1AKH1R.[ /10EX4o.MtN(R.(2DP(2q~AK0E/1aRKHQGpN.- N~- N',H1RKAEKC /+H1NKAK/ o.R.- N~A (2JKRKAEKC /+H1NKAK/`u(2LK(2LKX D.- HSH10E(RKDP/1LsMI]+-FK- KC / 1 ^& ?Z*2G (2JKAKHS- LKAG]+- N(2L.- FVAKH1JK/1DPH1AKA - N',H1RKAEKC /+H1NKA! u(2LK(2LK(2M >xe LP.C - H1R.( JK(+* [ ]S,'aRKHQG R.- NyL.-+]_XcM- /10E(2qy0E(FV/Q* [ a ?B/+?- GP&q l_R.(2qs0E(FV/Q*'A~]+- N(2LsFVAKH1JK/1DPH1AKArJKDKAKLKAK0- /SRKHQGyD.- M2LKXc0 >Z+Y e LP '\[ L JKDKAsM2HS/ L V @ o.CmFV/\M2/Q*'AEKC AKL.- @ M2X ?2AKD.- /SRKHQG>R.- N6oIKC R.(?2X(?|/10RI F - D.(?|/10l *2/^W D.-FVAV,HS-/@ FK- M-_*UJKD.- M2A* [ LK('/]KC AKHQ*2(THS('H1R.(+G'LKAKqB^ 0 @ · ' e (`_ · Ea oVCmFV/Y 0E/1LKR.- DKLK(2q>GKKC /1qKNKArNKDKAKH1R.-_*2*V-V&b V L.-_*2(2C2AEKC LK(Ko(2JKRKAEKC /+· H1NKAK/Tu(2LK(2LKX}(2JKAKH1XcM- aN RKHQGy0E(FV/Q* [ a {ZqKLK\ F R./1qKL.-VoPMxe LP ' L AK0E/+/SR0E/+H1R.( D.- M2/1LKH1RKM2( 1 e @ª ' 43 !$#&% e @ªn&4e°)(ml_R.(20n, M- R (2 0ELKX /^FVAKLKA .-R 1 e 5!$#&% e E&:
