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Optics and spectroscopy of gold nanowires.

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(8) BB. alJJ_u. Q7 /Bz2`2Mi /v2b M/ /Bz2`2Mi 2tT2`BK2MiH T`K2i2`b Urp2H2M;i?- TQH`BxiBQMVM 2zQ`i ?b #22M K/2 iQ /Bb2MiM;H2 i?2 p`BQmb +QMi`B#miBQMb iQ a1_a `BbBM; 7`QK bm+? bKTH2bX h?2 /2THQvK2Mi Q7 i?2b2 ?B;?Hv bT2+BHBx2/ i2+?MB[m2b BKb i BKT`QpBM; i?2 mM@ /2`biM/BM; Q7 i?2 THbKQM 2t+BiiBQM K2+?MBbKb BM `2H bvbi2Kb- U/Bz2`2Mi 7`QK i?2 KQ/2H bvbi2Kb Q7i2M `2TQ`i2/ BM i?2 HBi2`im`2V- r?BH2 HHQrBM; 7Q`  /2iBH2/ 2pHmiBQM Q7 i?2B` TTHB+iBp2 TQi2MiBH BM `TB/Hv ;`QrBM; `2b bm+? b MMQT?Q@ iQMB+b M/ ?B;?@b2MbBiBpBiv QTiB+H /2i2+iBQMX M QmiHBM2 Q7 i?2 i?2bBb bi`m+im`2 Bb ;Bp2M #2HQrX AM i?2 BMi`Q/m+iBQM- r2 iHF Q7 i?2 BKTQ`iM+2 Q7 bim/vBM; i?2 QTiB+H T`QT2`iB2b Q7 K2iH MMQT`iB+H2b M/ `2bQMb 7Q` Qm` +?QB+2 Q7 ;QH/ MMQT`iB+H2bX :QH/ bvbi2Kb `2 b+`+2Hv BMp2biB;i2/ r?2M +QKT`2/ iQ bBHp2` #2+mb2 Q7 i?2 HBKBi2/ HQbb2b Q7 bBHp2` +QKT`2/ iQ ;QH/ BM i?2 pBbB#H2 `M;2 Q7 rp2H2M;i?bX >Qr2p2`- BM i?2 M2` BM7` `2/ `2;BQM- i?2 HQbb2b Q7 ;QH/ M/ bBHp2` #2+QK2 +QKT`#H2 M/ ;QH/ Bb p2`v mb27mH BM i?2 +b2 Q7 #BQHQ;B+H bvbi2Kb bBM+2 Bi Bb #BQ+QKTiB#H2 BM Mim`2X h?2 +?Ti2` k /2b+`B#2b i?2 bKTH2b i?i r2 ?p2 mb2/ 7Q` Qm` K2bm`2K2MibX h?2 a1_a M/ aLPJ K2bm`2K2Mib r2`2 /QM2 QM ;QH/ MMQrB`2 ``vbX h?2b2 ``vb ?p2 #22M +mbiQK K/2 #v i?2 ;`QmT Q7 S`Q7X "miB2` .2 JQM;2Qi mbBM; M mM+QMp2MiBQMH i2+?MB[m2 r?B+? Bb +Qbi 2z2+iBp2 M/ bi`B;?i 7Q`r`/ +QKT`2/ iQ i?2 Qi?2` 7#`B+iBQM K2i?Q/bX h?2 K+`Qb+QTB+ i`MbKBbbBQM T`QT2`iB2b Q7 i?2b2 bKTH2b `2 /Bb+mbb2/X q2 ?p2 HbQ mb2/ i?2 BbQHi2/ ;QH/ MMQrB`2b BM i?2 a1_a 2tT2`BK2MibX h?2v `2 +?2KB+HHv ;`QrM +QKK2`+BH MMQrB`2b Tm`+?b2/ 7`QK LMQT`ixX h?2`2 `2 irQ /Bz2`2Mi MMQrB`2b mb2/X PM2 +Qi2/ rBi? +2ivH i`BK2i?vHKKQMBmK #`QKB/2 U*h"V M/ MQi?2` rBi? bBHM2X h?2v `2 e µK BM H2M;i? M/ jy MK BM /BK2i2` UMQKBMHVX q2 ?p2 HbQ mb2/ 8y MK MMQ#2/b 7`QK "" BMi2`MiBQMH- 7Q` i?2 a1_a K2bm`2K2Mib HQM; rBi? i?2 MMQrB`2bX h?2 +?Ti2` j ;Bp2b M BMi`Q/m+iBQM iQ i?2 +QM+2Ti Q7 bm`7+2 THbKQMb- #Qi? HQ+H@ Bx2/ M/ T`QT;iBM; BM Mim`2X h?2 Q7i2M mb2/ i?2Q`B2b iQ /2b+`B#2 i?2 THbKQM BM MMQT`iB+H2b HBF2 i?2 JB2 i?2Q`v `2 T`2b2Mi2/ b?Q`iHvX o`BQmb i2+?MB[m2b mb2/ 7Q` 2t+BiBM; i?2 bm`7+2 THbKQMb `2 /Bb+mbb2/X h?2 /2T2M/2M+2 Q7 i?2 THbKQM QM p`BQmb 7+iQ`b HBF2 bBx2- b?T2 M/ i?2 `27`+iBp2 BM/2t Q7 i?2 bm``QmM/BM; K2/BmK `2 `2pB2r2/X am+?  /Bb+mbbBQM Bb BKTQ`iMi iQ mM/2`biM/ i?2 `2bmHib Q7 Qm` K2bm`2K2Mib r?B+? `2 T`2b2Mi2/ BM i?2 Hi2` +?Ti2`bX h?2 +?Ti2` 9 2H#Q`i2b QM i?2 7mM/K2MiHb Q7 i?2 a1_a BM  bBKTH2 KMM2`X h?2 +?Ti2` ?b #22M r`Bii2M BM bm+?  rv iQ ;Bp2  #bB+ B/2 Q7 i?2 BKTQ`@ iMi T`Q+2bb2b BM i?2 a1_aX h?2 2tT2`BK2MiH b2i mT mb2/ HQM; rBi? i?2 bKTH2 T`2T`iBQM `2 /2b+`B#2/ BM /2iBHX h?2 b2i mT BM+Hm/2b /`F }2H/ KB+`Qb+QTv 7Q` BK;BM; i?2 bKTH2b i i?2 /Bz`+iBQM HBKBi M/ mb2b  +QMiBMmQmb rp2 imM#H2 hB,a Hb2` rBi? M QmiTmi 7`QK dyy MK iQ Nyy MK M/  KtBKmK TQr2` Q7 j qX h?2 BMi2MbBiv M/ i?2 TQH`BxiBQM Q7 i?2 BM+B/2Mi #2K +M #2 p`B2/ #v .

(9) alJJ_u. BBB. #`Q/#M/ ?H7 rp2 THi2 M/  TQH`Bx2`- `2bT2+iBp2Hv- r?B+? `2 +QMi`QHH2/ rBi?  ?QK2 r`Bii2M bQ7ir`2X h?2 T`QT2`iB2b Q7 i?2 /v2b i?i ?p2 #22M mb2/ b T`Q#2 7Q` i?2 a1_a ?b #22M /Bb+mbb2/X h?2 +?Ti2` 8 /Bb+mbb2b i?2 `2bmHib Q7 i?2 a1_a K2bm`2K2Mib QM i?2 BbQHi2/ ;QH/ MMQrB`2bX h?2 BMBiBH B/2 rb iQ +QK#BM2 2M?M+2K2Mi M/ T`QT;iBQM K2bm`2K2Mib QM i?2b2 MMQrB`2bX >Qr2p2`- Bi rb b22M i?i Bi rb /B{+mHi iQ b22 Mv T`QT;iBQM rBi? Dmbi i?2 MMQrB`2bX aQ MMQ#2/b r2`2 //2/ iQ i?2b2 MMQrB`2b- r?B+? +i b  K2/BiQ` iQ +QmTH2 i?2 2t+BiiBQM iQ i?2 MMQrB`2X am+?  i2+?MB[m2 iQ mb2 MMQ#2/b ?b #22M `2TQ`i2/ BM HBi2`im`2X AM i?2 `2bmHib- }`biHv2tKTH2b Q7 /`F }2H/ BK;2b M/ i?2 THbKQM bT2+i` Q#iBM2/ i p`BQmb HQ+iBQMb `2 T`2b2Mi2/X Ai Bb b22M +H2`Hv i?i i?2 THbKQM bT2+i`mK /2T2M/b bi`QM;Hv QM i?2 TQbBiBQM Q7 K2bm`2K2MiX "Qi? i?2 b?T2 Q7 i?2 bT2+i`mK M/ i?2 TQbBiBQM Q7 i?2 `2bQMM+2 T2F p`B2b ++Q`/BM; iQ p`BQmb 7+iQ`b HBF2 i?2 T`2b2M+2 Q7 #2/b Q` i?2 bvKK2i`v i i?2 2M/ Q7 i?2 MMQrB`2 2i+XX L2ti r2 ?p2 `2TQ`i2/ i?2 THbKQM T`QT;iBQM Q7 i?2 MMQrB`2b i /Bz2`2Mi rp2H2M;i?bX 6Qm` /Bz2`2Mi rp2H2M;i?b ?p2 #22M +?Qb2M , dyk MK- dk3 MK- d8y MK M/ ddy MKX h?2 +?QB+2 rb K/2 iQ BMp2biB;i2 i?2 2z2+i Q7 rp2H2M;i? QM T`QT;iBQM r?BH2 i i?2 bK2 iBK2 iQ +Q``2Hi2 i?2 THbKQM bT2+i`mK iQ i?2 T`QT;iBQM iQ mM/2`biM/ i?2 /2T2M/2M+2 Q7 T`QT;iBQM iQ i?2 THbKQM b?T2X h?2 T`QT;iBQM Bb pBbmHBx2/ /B`2+iHv b i?2 a1_a Q` 2M?M+2/ ~mQ`2b+2M+2 bB;MH i?i Bb i?2 Qmi+QK2 Q7 i?2 BMi2`+iBQM #2ir22M i?2 MMQrB`2 M/ i?2 /v2 KQH2+mH2 mb2/X h?2 `2bmHib Tmi BMiQ 2pB/2M+2 i?2 +QM/BiBQMb M22/2/ iQ Q#b2`p2 THbKQM T`QT;iBQM , i?2 T`QT;iBQM Bb ?B;?2` r?2M i?2 2t+BiiBQM rp2H2M;i? Bb +HQb2` iQ i?2 KtBKmK Q7 i?2 THbKQM `2bQMM+2X h?2 #2bi Bb iiBM2/ r?2M i?2 THbKQM Ki+?2b i?2 KQH2+mH` `2bQMM+2X q2 ?p2 `2TQ`i2/ ?2`2  T`QT;iBQM /BbiM+2 Q7 #Qmi jX3 µKX h?2 KtBKmK T`QT;iBQM H2M;i? T`2pBQmbHv `2TQ`i2/ 7Q` ;QH/ MMQrB`2b BM HBi2`im`2 Bb kX8 µK #v E`2MM 2i HX L2ti i?2 `2bmHib QM i?2 a1_a K2bm`2K2Mib `2 T`2b2Mi2/X h?2 rp2H2M;i? /2T2M/2M+2 Q7 a1_a rb BMp2biB;i2/X am+? bim/B2b rBi? i?2 rp2H2M;i? `2 ?`/Hv `2TQ`i2/ bBM+2 p2`v 72r _KM b2imTb mb2 imM#H2 2t+BiiBQM bQm`+2X q2 ?p2 b22M i?i i?2 2pQHmiBQM rBi? i?2 rp2H2M;i? 7QHHQrb i?2 bK2 i`2M/ b i?i Q7 THbKQM T`QT;iBQMX h?2 /BbiM+2 /2T2M/2M+2 Q7 i?2 a1_a Bb T`2b2Mi2/ M/ Bi Bb b22M i?i rBi? i?2 BM+`2bBM; /BbiM+2 7`QK i?2 2t+BiiBQM TQBMi- i?2 bB;MH BMi2MbBiv 7HHb ;`/mHHv b 2tT2+i2/X Ai Bb M //BiBQMH 2pB/2M+2 Q7 i?2 THbKQM T`QT;iBQM rBiM2bb2/X q2 ?p2 2tTHBM2/ i?2 p`BQmb a1_a K2+?MBbKb rBiM2bb2/ BM Qm` bvbi2K rBi? 2tKTH2b HBF2 #HBMFBM; M/ i?2 bBM;H2 KQH2+mH2 `2;BK2X h?2 bBM;H2 KQH2+mH2 `2;BK2 rb iiBM2/ BM  MmK#2` Q7 ?Qi@bTQib 2bBHv M/ rb T`Qp2/ #v mbBM;  irQ MHvi2 i2+?MB[m2X hrQ /v2b- _?e: M/ hhP d9y r2`2 mb2/ iQ;2i?2` QM i?2 bm#bi`i2 M/ i?2 `2bmHib ;p2 M B``27mi#H2 2pB/2M+2 7Q` i?2 bBM;H2 KQH2+mH2 a1_aX h?2 bT2+i` `2+Q`/2/ rBi? #Qi? i?2 /v2b b?Qr2/ QMHv i?2 ivTB+H bB;Mim`2 Q7 QM2 KQH2+mH2 i  iBK2 M/ M2p2` #Qi?X Ai Bb +H2` i?i QMHv QM2 FBM/ Q7 KQH2+mH2.

(10) Bp. alJJ_u. Q++mTB2b i?2 ?Qi@bTQi i  iBK2 M/ Bi Bb `2TH+2/ #v i?2 Qi?2` FBM/ r?2M Bi KQp2b rv /m2 iQ p`BQmb 7+iQ`b HBF2 i?2`KH 2z2+ibX h?2 MQp2Hiv Q7 Qm` 2tT2`BK2Mi Bb i?i r2 `2 #H2 iQ +Q``2Hi2 b2p2`H QTiB+H T`QT2`iB2b Q7  bvbi2KX i Mv ;Bp2M HQ+iBQM QM i?2 MMQrB`2- r2 ?p2 i?2 /`F }2H/ BK;2- i?2 THbKQM bT2+i`mK i i?2 HQ+iBQM- i?2 T`QT;iBQM M/ i?2 a1_a bB;MHX am+?  +QKT`2?2MbBp2 bim/v Q7 i?2 ;QH/ MMQrB`2 ?b MQi #22M `2TQ`i2/ BM HBi2`im`2 bQ 7` iQ i?2 #2bi Q7 Qm` FMQrH2/;2X Ai ;Bp2b  #2ii2` mM/2`biM/BM; Q7 i?2 a1_a M/ T`QT;iBQM T`QT2`iB2b Q7 i?2 ;QH/ MMQrB`2bX h?2 +?Ti2` e `2pB2rb i?2 `2bmHib Q#iBM2/ rBi? a1_a K2bm`2K2Mib QM ;QH/ MMQrB`2 ``vb U+?Ti2` kVX AM i?2 #2;BMMBM; Q7 i?2 +?Ti2`- A T`2b2Mi i?2 `2bmHib Q7 i?2 bBKmHiBQMb K/2 BM Q`/2` iQ mM/2`biM/ i?2 #2?pBQm` Q7 bm+? bvbi2KbX h?2 KQiBpiBQM #2?BM/ i?2 bBKmHiBQMb rb HbQ iQ 2tTHBM bQK2 Q7 Qm` `2bmHibX q2 ?p2 mb2/ i?2 bQ7ir`2 ..a*h #b2/ QM /Bb+`2i2 /BTQH2 TT`QtBKiBQM U..V 7Q` Qm` +H+mHiBQMbX q2 ?p2 K/2  +QKT`BbQM #2ir22M i?2 .. M/ 2H2+i`QbiiB+ T@ T`QtBKiBQM +QMbB/2`BM;  bBKTH2 bBimiBQMX h?2 MMQrB`2b r2`2 `2T`2b2Mi2/ #v bH2M/2` 2HHBTbQB/bX >Qr2p2` i?2B` H2M;i? rb HBKBi2/ #v i?2 +QM/BiBQMb 7Q` pHB/Biv Q7 i?2 TT`QtBKiBQMbX q2 ?p2 bBKmHi2/ i?2 #2?pBQm` Q7 i?2 THbKQM `2bQ@ MM+2 rBi? +?M;2 BM 2t+BiiBQM TQH`BxiBQM- bBx2 M/ i?2 `27`+iBp2 BM/2t Q7 i?2 bm``QmM/BM; K2/BmKX h?2 }2H/ `QmM/ irQ Q` i?`22 +HQb2#v 2HHBTbQB/b i irQ /B7@ 72`2Mi 2t+BiiBQM TQH`BxiBQMb ?b #22M bim/B2/X Ai +QM}`Kb i?2 i?2Q`v H`2/v `2TQ`i2/ i?i i?2 }2H/ Bb KtBKmK i i?2 ;T #2ir22M irQ 2HHBTbQB/b r?2M i?2 TQH`BxiBQM Bb HQM; i?2 HBM2 DQBMBM; i?2 +2Mi2`b M/ Km+? r2F2` BM i?2 Qi?2` /B`2+iBQMX h?2 mM/2`HvBM; B/2 #2?BM/ i?2b2 K2bm`2K2Mib rb iQ /Bb+`BKBMi2 #2ir22M i?2 a1_a 2M?M+2K2Mi 7+iQ` +Q``2bTQM/BM; iQ i?2 MMQrB`2 THbKQMb QM QM2 ?M/ 7`QK i?i `2Hi2/ iQ KQH2+mH` `2bQMM+2 2t+BiiBQM QM i?2 Qi?2` ?M/X AM 7+i i?2 ?2i2`Q;2M2Biv Q7 i?2 bKTH2 HHQr2/ mb iQ /Bb2MiM;H2 /Bz2`2Mi 2z2+ib i?i +QMi`B#mi2 iQ a1_a BM bm+? bvbi2KbX h?2 T`2`2[mBbBi2 rb  H`;2 /Bz2`2M+2 BM a1_a 2M?M+2K2Mi 7+iQ`b 7Q` TQH`BxiBQM ?Q`BxQMiH M/ p2`iB+H iQ i?2 MMQrB`2 /B`2+iBQMX AM T`BM+BTH2-  ?B;?2` 2M?M+2K2Mi Bb 2tT2+i2/ B7 i?2 TQH`BxiBQM Q7 i?2 2t+BiiBQM Uo +QM};m`iBQMV Bb +`Qbb i?2 MMQrB`2b i?M r?2M Bi Bb HQM; U> +QM@ };m`iBQMV BiX >Qr2p2`- i?2 2tT2`BK2MiH `2bmHib /B/ MQi b?Qr  +H2` TQH`BxiBQM /2T2M/2M+2 Q7 i?2 a1_a bB;MH rBi? Dmbi hhP d9y KQH2+mH2 M/ i?2 bB;MH rb mMbi#H2X h?2M-  b2+QM/ KQH2+mH2 `?Q/KBM2 e: rb +Q@/2TQbBi2/ r?B+? Bb MQi BM `2bQMM+2 rBi? i?2 THbKQM Q7 i?2 bKTH2X h?2 a1_a rBi? _?e: QM i?2 bKTH2 rb K/2 iQ 2Mbm`2 i?i Bi /B/ MQi ;Bp2 Mv bB;MH QM Bib QrM- 2t+2Ti QM  p2`v HBKBi2/ MmK#2` Q7 HQ+iBQMbX h?2`2 r2`2 irQ /Bz2`2Mi 2z2+ib Q#b2`p2/ QM //BiBQM Q7 `?Q/KBM2-  ;HQ#H 2z2+i M/  HQ+H QM2X h?2 ;HQ#H 2z2+i Bb i?2 THbKQM `2/ b?B7i Q7 i?2 bKTH2 r?B+? Bb +QM}`K2/ #v i?2 TT2`M+2 Q7 bi`QM; HQr iQ K2/BmK 7`2[m2M+v HBM2b Ur?B+? Q++m`b QMHv r?2M i?2 bKTH2 Bb /22THv BM `2bQMM+2 rBi? i?2.

(11) alJJ_u. p. KQH2+mH2VX h?Bb Bb BM ++Q`/M+2 rBi? Qm` bBKmHiBQMb- r?B+? b?Qrb i?2 THbKQM Bb `2/ b?B7i2/ rBi? M BM+`2bBM; `27`+iBp2 BM/2t Q7 i?2 bm``QmM/BM; KQH2+mH2X h?2 M2ti BKTQ`iMi 2z2+i Bb QM  HQ+H b+H2c i?2 bi#BHBiv Q7 i?2 hhP d9y BM+`2b2b M/ i?2 2M?M+2K2Mi Bb +QMbB/2`#Hv BM+`2b2/X h?2 `2bQM #2?BM/ bm+? M 2z2+i Bb MQi 2t+iHv FMQrM- bBM+2 Bi `2[mB`2b HQi KQ`2 bim/B2b Q7 T?QiQ+?2KB+H Mim`2X >Qr2p2`- r2 ?p2 ;Bp2M i?2 TQbbB#H2 T`Q+2bb2b i?i +M Q++m` rBi? i?2 ?2HT Q7 HBi2`@ im`2- 2bT2+BHHv i?2 2z2+i Q7 BQMb QM a1_a bm#bi`i2b Q` i?2 T`Q+2bb Q7 +QKT2iBiBp2 #BM/BM; rBi? K2iH BM i?2 T`2b2M+2 Q7 MQi?2` BQMX h?2 TQH`BxiBQM bim/B2b QM i?2 bKTH2 `2 `2TQ`i2/ M/ Bi Bb b22M +H2`Hv i?i i?2 bB;MH 7HHb `TB/Hv #v +?M;BM; i?2 TQH`BxiBQM 2p2M #v ky◦ X >Qr2p2`- BM i?Bb +b2 i?2 bB;MH HQM; > Bb ?B;?2` i?M i?i HQM; o /B`2+iBQMX h?Bb bBimiBQM Q++m`b r?2M i?2 KQH2+mH2 bBib #2ir22M irQ T`iB+H2b HQM;  MMQrB`2 `i?2` i?M #2ir22M irQ MMQrB`2b b Bb b22M 7`QK Qm` bBKmHiBQMbX h?Bb +M HbQ #2 M 2pB/2M+2 Q7 i?2 +?`;2 i`Mb72` 2z2+i #2ir22M hhP d9y M/ i?2 K2iH M/ Bb 2tTHBM2/ BM /2iBHX qp2H2M;i? /2T2M/2M+2 Q7 i?2 bB;MHb ?b #22M BMp2biB;i2/ `M;BM; 7`QK dyy MK iQ d3y MK F22TBM; BM KBM/ iQ BMp2biB;i2 i?2 `M;2 #Qi? #2HQr M/ #Qp2 i?2 KQH2+mH` `2bQMM+2 i d9y MKX M 2tKTH2 Bb `2TQ`i2/X h?2 `2bmHib b?Qr i?i i?2 ?B;?2bi 2M?M+2K2Mi Bb `2+?2/ r?2M i?2 rp2H2M;i? Bb i `QmM/ d98 MK- r?B+? Bb #2ir22M i?2 THbKQM `2bQMM+2 Q7 i?2 bKTH2- K2bm`2/ i i?2 HQ+iBQM- M/ i?2 KQH2+mH` `2bQMM+2X h?2 i`2M/ `2KBMb i?2 bK2 7Q` #Qi? i?2 TQH`BxiBQM /B`2+iBQMb #mi i?2 bB;MH BM o /B`2+iBQM Bb [mBi2 ?B;? +QKT`2/ iQ i?2 Qi?2` QM2X h?2 MQM x2`Q bB;MH BM i?2 > /B`2+iBQM Bb 2tTHBM2/ rBi? i?2 2H2+i`B+ }2H/ bBKmHiBQMb `QmM/ i?2 2HHBTbQB/bX h?2 MQp2H B/2 Q7 i?2b2 2tT2`BK2Mib Bb i?2 mb2 Q7 irQ KQH2+mH2b iQ 2tTHQ`2 i?2 +QMi`B#miBQMb iQ a1_a 2z2+ibX h?Qm;? M 2tT2`BK2Mi rb `2TQ`i2/ rBi? irQ KQH2+mH2b #v _m 2i H- Bi rb iQ b2`p2 b M 2pB/2M+2 iQ bBM;H2 KQH2+mH2 `2;BK2X AM Qm` +b2 i?2 mb2 Q7 +QK#BM2/ KQH2+mH2b `2T`2b2Mib i?mb  TQr2`7mH- M/ T`iBHHv mM2tTHQ`2/- iQQH iQ mM/2`biM/ i?2 +QmTHBM; #2ir22M THbKQM 2t+BiiBQMb Q++m``BM; BM +HQb2Hv T+F2/ ;QH/ MMQbi`m+im`2bX h?2 +?Ti2` d ;Bp2b M BMi`Q/m+iBQM iQ i?2 #bB+ +QM+2Tib BM i?2 aLPJX h?2 b?Q`i ?BbiQ`v Q7 i?2 M2` }2H/ KB+`Qb+QTv Bb T`2b2Mi2/ rBi? M 2zQ`i iQ ;Bp2  ;Bbi Q7 i?2 BKTQ`iMi B/2b i?i ?2HT iQ mM/2`biM/ i?2 M2` }2H/ KB+`Qb+QTvX h?2 2tT2`BK2M@ iH b2i mT mb2/ Bb 2tTHBM2/ BM /2iBHX h?MFb iQ Bib b2MbBiBpBiv iQ M2` }2H/b M/ iQ i?2 bbQ+Bi2/ bm#@rp2H2M;i? bTiBH `2bQHmiBQM- aLPJ ?b #22M 7`2[m2MiHv mb2/ BM i?2 Tbi iQ MHvx2 i?2 Q++m``2M+2 M/ 72im`2b Q7 THbKQMb BM MMQbi`m+@ im`2/ K2iH bKTH2bX  KDQ` bi2T 7Q`r`/ ?b #22M K/2 BM i?2 `2HBxiBQM Q7 i?2 +QHH2+iBQM KQ/2 TT`imb rBi? i?2 BKTH2K2MiiBQM Q7  bTiBHHv +QMi`QHH2/[mbB@/Bz`+iBQM HBKBi2/ BHHmKBMiBQM bTQiX JQ`2Qp2`- +QMi`QH Q7 i?2 TQH`BxiBQM /B`2+iBQM M/ i?2 TQbbB#BHBiv iQ mb2 /Bz2`2Mi rp2H2M;i?b `2 BKTH2K2Mi2/ BM i?2 b2imTX h?2 mMB[m2 +T#BHBiB2b Q7 i?2 TT`imb 7Q` THbKQM BMp2biB;iBQM BMpQHp2b i?2 mb2 Q7 irQ /Bz2`2Mi QT2`iBM; KQ/2bX  constant BHHmKBMiBQM KQ/2- r?2`2.

(12) pB. alJJ_u. i?2 BHHmKBMiBQM bTQi Bb F2Ti }t2/ rBi? `2bT2+i iQ i?2 M2`@}2H/ T`Q#2- +M #2 mb2/ iQ #mBH/ i?2 KT Q7 i?2 M2` }2H/ BMi2MbBiv i i?2 bKTH2 bm`7+2 M/ iQ +Q``2Hi2 Bi rBi? i?2 KQ`T?QHQ;v i i?2 HQ+H b+H2- bBKmHiM2QmbHv `2+Q`/2/X h?2 Qi?2` QT2`iBM; KQ/2- /2MQi2/ b }t2/ BHHmKBMiBQM- HHQrb 7Q` +QmTHBM; `/BiBQM i  T`2/2}M2/ TQbBiBQM Q7 i?2 bKTH2 M/ Q#b2`pBM; i?2 M2`@}2H/ BMi2MbBiv mTQM bm+? HQ+HBx2/ 2t+BiiBQMX h?2 +?Ti2` 3 2tKBM2b i?2 `2bmHib Q7 i?2 M2` }2H/ 2tT2`BK2Mib QM i?2 MMQrB`2 ``vbX h?2 KQiBpiBQM 7Q` i?2 mb2 Q7 i?2 +QHH2+iBQM KQ/2 aLPJ M/ i?2 MQp2Hiv Q7 i?2 mb2/ BHHmKBMiBQM +QM/BiBQMb UQ#HB[m2- 7`QK iQT M/ BM i?2 7` }2H/V `2 2tTHBM2/ HQM; rBi? i?2 HBKBiiBQMb Q7 i?2 K2bm`2K2Mib- `2Hi2/ 2bb2MiBHHv iQ i?2 BKTQbbB#BHBiv 7Q` i?2 aLPJ iQ +QHH2+i i?2 M2` }2H/ i  p2`v b?Q`i /BbiM+2 7`QK i?2 bm`7+2- ?2M+2 iQ KBKB+ i?2 +QM/BiBQMb 72Hi #v i?2 /bQ`#2/ KQH2+mH2b BM a1_a 2tT2`BK2MibX h?2 KBM +Q`2 Q7 i?2 +?Ti2` Bb /2pQi2/ iQ i?2 b+Mb K/2 BM i?2 +QMbiMi BHHmKBMiBQM KQ/2- BK2/ i B/2MiB7vBM; bBi2b Q7 }2H/ 2M?M+2K2Mi M/ i +Q``2HiBM; i?2K rBi? i?2 bKTH2 bi`m+im`2 M/ KQ`T?QHQ;vX h?2 mb2 Q7 irQ rp2H2M;i?b- i?2 +QMi`QH Q7 i?2 TQH`BxiBQM /B`2+iBQM M/ i?2 MHvbBb Q7 /BbiBM+i bKTH2b- BM+Hm/BM; #HMF QM2b U`272`2M+2 bKTH2bV- 2M#H2 mM`p2HBM; i?2 ;2MmBM2 `QH2 THv2/ #v i?2 THbKQM 2t+BiiBQMX .Bz2`2Mi iQQHb `2 /2THQv2/ iQ MHvx2 i?2 `2bmHib- BM+Hm/BM; #Qi? biiBbiB+H K2i?Q/b US`Q##BHBiv .Bbi`B#miBQM 6mM+iBQM S.6- M/ miQ@*Q``2HiBQM 6mM+iBQM @ *6V BMbTB`2/ #v i?2 HBi2`im`2 /2HBM; rBi? `M/QK K2iH MMQT`iB+H2 bvbi2Kb- M/ /i KMBTmHiBQM bi`i2;B2b imM2/ iQ B/2MiB7v ?Qi bTQibX AM T`iB+mH`- Bi Bb 7QmM/ i?i }2H/ 2M?M+2K2Mi iF2b TH+2 QMHv BM i?2 +QM/BiBQMb H2/BM; iQ 2t+Bi2 i?2 THbKQM `2bQMM+2 Q7 i?2 bKTH2 Uo +QM};m`iBQM M/ Hb2` rp2H2M;i? r2HH rBi?BM i?2 `2bQMM+2 +m`p2Vr?2`2b Qi?2` BHHmKBMiBQM +QM/BiBQMb U> +QM};m`iBQM Q` rp2H2M;i? 7` 7`QK i?2 `2bQMM+2 T2FV H2/ iQ KTb /QKBMi2/ #v bBKTH2 b+ii2`BM; BM i?2 M2` }2H/ 7`QK BM/BpB/mH MMQT`iB+H2b Q` iQTQ;`T?v KQ/mHiBQMbX *`27mH +Q``2HiBQM Q7 i?2 QTiB+H M/ iQTQ;`T?B+H KTb BM/B+i2 i?i ?Qi bTQib i2M/ iQ bBi KQbiHv BM i?2 /2T`2bb2/ `2;BQMb Q7 i?2 bKTH2- `Qm;?Hv +Q``2bTQM/BM; iQ i?2 BMi2`@rB`2 ;T- M/ i?2B` Q++m``2M+2 Bb KQ`2 HBF2Hv BM i?2 pB+BMBiv Q7 /272+ib bm+? b- #2M/b#B7m`+iBQMb- 2MiM;H2K2Mi 2i+XX J2bm`2K2Mib `2 HbQ `2TQ`i2/ r?2`2 i?2 }t2/ BHHmKBMiBQM KQ/2 Bb mb2/X JQiBpiBQM 7Q` i?Bb TT`Q+? Bb 7QmM/ BM i?2 b2`+? 7Q` T`QT;iBQM T?2MQK2M /m2 iQ i?2 +Q@QT2`iBp2 2t+BiiBQM Q7 THbKQM Qb+BHHiBQMb BM /D+2Mi MMQrB`2bX h?Qb2 K2bm`2K2Mib- r?B+? `2 biBHH rBiBM; 7Q` 7m`i?2` +QM}`KiBQM QM Qi?2` bKTH2b M/ 7Q`  H`;2` biiBbiB+b- /2KQMbi`i2 i?2 `QH2 Q7 THbKQM `2bQMM+2 BM `mHBM; i?2 b+ii2`BM; T`Q+2bb BM i?2 M2` }2H/ M/ bm;;2bi i?2 Q++m``2M+2 Q7 mM2tT2+i2/ T?2MQK2M r?2M i?2 TQH`BxiBQM Q7 i?2 2t+BiiBQM `/BiBQM Bb i 98 /2;`22b rBi? `2bT2+i iQ i?2 MMQrB`2 tBbX q?BH2 #2BM; T`iBHHv mM2tTHBM2/- i?2 `2bmHib Q7 i?2 M2` }2H/ BMp2biB;iBQM TQBMi i  +QKTHB+i2/ BMi2`THv #2ir22M i?2 /BbQ`/2` i i?2 HQ+H b+H2- /m2 iQ i?2.

(13) alJJ_u. pBB. MMQT`iB+H2@HBF2 KQ`T?QHQ;v Q7 i?2 bKTH2- M/ i?2 ;HQ#H MBbQi`QTB+ Q`/2`BM; BKTQb2/ #v i?2 MMQrB`2 bi`m+im`2- i?i #Qi? KF2 Qm` BMp2biB;i2/ bKTH2b K`F2/Hv /Bz2`2Mi rBi? `2bT2+i iQ bKTH2b +QMbB/2`2/ BM i?2 HBi2`im`2- 2Bi?2` KQ/2H bvbi2Kb- ivTB+HHv T`Q/m+2/ ++Q`/BM; iQ  T`2/2}M2/ `2;mH`Biv Q` `M/QK MMQbi`m+im`2/ bKTH2b 7QHHQrBM;  7`+iH bTiBH /Bbi`B#miBQMX h?2 }MH +?Ti2`- +QM+HmbBQM- bmKK`Bx2b i?2 `2bmHib Q#iBM2/ rBi? Qm` rQ`F M/ QT2Mb mT M2r [m2biBQMb i?i /2b2`p2 7m`i?2` 2zQ`ib iQ #2 BMp2biB;i2/X.

(14) pBBB. alJJ_u.

(15) aPJJ_AP Zm2biQ HpQ`Q /B i2bB `B;m`/ HQ bim/BQ /2HH2 T`QT`B2i¨ QiiB+?2 /B MMQ bi`miim`2 K2iHHB+?2- BM T`iB+QH`2 [m2HH2 H2;i2 ;HB 2z2iiB THbKQMB+B +?2 bB p2`B}+MQ BM +KTBQMB /B MMQ}HB /B Q`Q BbQHiB Q `;;`mTTiB BM ``vbX L2HHQ bim/BQ bB mbMQ /m2 /BbiBMi2 i2+MB+?2 /B MHBbB +?2 ?MMQ +`ii2`BbiB+?2 +QKTH2K2Mi`B 7` HQ`Q, H KB+`Qb+QTB  b+MbBQM2 /B +KTQ QiiB+Q T`QbbBKQ UaLPJV 2 H bT2ii`Qb+QTB _KM bm`7+2@2M?M+2/ Ua1_aVX G +QKT`2MbBQM2 /2B K2++MBbKB /B #b2 +QBMpQHiB M2HH BMi2`xBQM2 `/BxBQM2 K@ i2`B ĕ 2bb2MxBH2 bQT`iimiiQ T2` T2`K2ii2`2 /B b2;mB`2 BH TbbQ /2;HB bpBHmTTB i2+@ MQHQ;B+BX AM K#BiQ 7QiQMB+Q- +QK2 T2` MmK2`QbB Hi`B b2iiQ`B TTHB+iBpB- bB bbBbi2 M2;HB mHiBKB MMB  mM bQ`i /B +Q`b p2`bQ H KBMBim`BxxxBQM2 /2B /BbTQbBiBpB 2 H 7##`B+xBQM2 /B bBbi2KB MMQ /BK2MbBQMiBX AH 72MQK2MQ /2HH /Bz`xBQM2 2K2`;2 HHQ` +QK2 mM 7Q`i2 7iiQ`2 HBKBiMi2 /B +`ii2`2 7QM/K2MiH2X AM bQbiMx- H KMBTQHxBQM2- BH +QMi`QHHQ- H ;mB/ /2HH Hm+2 `B+?B2/QMQ /BbTQbBiBpB 2 bBbi2KB +?2 ?MMQ /BK2MbBQMB }bB+?2 BM+QKTiB#BHB +QM H2 iimHB `B+?B2bi2 /B KBMBim`BxxxBQM2X lM KQ/Q T2` bmT2``2 [m2bi HBKBixBQM2 bB #b bmHH BKTB2;Q /2HH THbKQMB+X A 72MQK2MB THbKQMB+B +?2 bB p2`B}+MQ BM MMQ bi`miim`2 K2iHHB+?2 bQMQ MQiB / KQHiQ i2KTQ- K bQHQ M2;HB mHiBKB MMB BH /2bB/2`BQ /B b7`mii`HB T2` TTHB+xBQMB MMQi2+MQHQ;B+?2 ? biBKQHiQ HQ bpBHmTTQ /B mM ;`M MmK2`Q /B `B+2`+?2- BM +`2b+Bi +QMiBMmX G +QKT`2MbBQM2 /2ii;HBi /2B 72MQK2MB THbKQMB+B ĕ [mBM/B mM `;Q@ K2MiQ /B ;`M/2 2 T`2bbMi2 iimHBi¨ b+B2MiB}+, [m2biQ HpQ`Q /B i2bB BMi2M/2 7Q`MB`2 mM +QMi`B#miQ  iH2 b2iiQ`2 /B `B+2`+X G i2bB bB ĕ bpQHi BM `2;BK2 /B +Qimi2H i` H lMBp2`bBi¨ /B SBb 2 H lMBp2`bBiû S`Bb@ am/- P`bvX G `B+2`+ ĕ bii +QM/Qii M2H .BT`iBK2MiQ /B 6BbB+ /2HH lMBp2`bBi¨ /B SBb- /Qp2 ĕ bii BKTB2;i H i2+MB+ /B KB+`Qb+QTB  b+MbBQM2 /B +KTQ QiiB+Q T`QbbBKQ bpBHmTTi T`2bbQ BH LMQH#- 2 M2H G#Q`iQB`2 BKû@*QiiQM / P`bv- /Qp2 ĕ /BbTQMB#BH2 mM bBbi2K T2` KBbm`2 a1_aX G B/2MiB}+xBQM2 2 +`ii2`BxxxBQM2 /2;HB 2z2iiB /B mK2MiQ HQ+H2 /B +KTQ 2H2i@ i`QK;M2iB+Q bm MMQbi`miim`2 /B Q`Q- +?2 bQMQ mM 2pB/2Mx /2H p2`B}+`bB /B 2+@ +BixBQMB THbKQMB+?2 HQ+HBxxi2- 2 H HQ`Q +Q``2HxBQM2 +QM H KQ`7QHQ;B bQMQ bii2 Qii2Mmi2 +QM mMQ bi`mK2MiQ aLPJ /Bb2;MiQ 2 `2HBxxiQ BM H#Q`iQ`BQX :`xB2 HH 2H2pi `BbQHmxBQM2 bTxBH2 Qz2`i /B +KTB MQM@T`QT;MiB- HQ aLPJ TQbbB2/2 +`ii2`BbiB+?2 mMB+?2 +?2 +QMb2MiQMQ /B KTT`2 /B`2iiK2Mi2 H BMi2MbBi¨.

(16) t. aPJJ_AP. /B +KTQ 2H2ii`QK;M2iB+Q bmHH bmT2`}+B2 /2B +KTBQMB b2Mx H2 HBKBixBQMB +?2 H /Bz`xBQM2 BKTQM2 HH KB+`Qb+QTB +QMp2MxBQMH2 2 +QM7Q+H2X .B +QMb2;m2Mx- HQ aLPJ +QMb2Mi2 /B KBbm``2 H2 T`QT`B2i¨ QiiB+?2 bm `2;BQMB /2}MBi2 bTxBHK2Mi2 bm mM b+H +QKTiB#BH2- Q BM72`BQ`2- +QM H2 /BK2MbBQMB }bB+?2 /2HH2 MMQ bi`miim`2X G i2+MB+ a1_a T2`K2ii2 /B bim/B`2 ;HB 2z2iiB /B mK2MiQ HQ+H2 /2H +KTQ BM KMB2` BM/B`2iiX AM7iiB H mK2MiQ HQ+HBxxiQ /2H +KTQ /¨ HmQ;Q HH `Bp2HxBQM2 /2HH2 `B;?2 _KM /B QTTQ`imM2 KQH2+QH2 /B +QHQ`Mi2 /bQ`#Bi2 bmHH bmT2`}+B2 /2HH2 MMQbi`miim`2X lbM/Q /Bp2`bB +QHQ`MiB 2 p`BM/Q B T`K2i`B /B KBbm` UHmM;?2xx / QM/- TQH`BxxxBQM2V- ĕ biiQ +QKTBmiQ mMQ b7Q`xQ T2` /Bbi`B+`2 B p`B +QMi`B#miB H b2;MH2 a1_a M2B +KTBQMB 2bKBMiBX G BKTB2;Q +QK#BMiQ 2 +QKTH2K2Mi`2 /B [m2bi2 i2+MB+?2 HiK2Mi2 bT2+BHBxxi2 bB TQM2 +QK2 Q#B2iiBpQ H +QKT`2MbBQM2 /2B K2++MBbKB /B 2++BixBQM2 THbKQMB+ BM bBbi2KB `2HB- /Bp2`bB /B bBbi2KB KQ/2HHQ BH +mB bim/BQ ĕ KTBK2Mi2 `BTQ`iiQ BM H2ii2`im`- +QM HQ b+QTQ /B pHmi`M2 BH TQi2MxBH2 TTHB+iBpQ BM b2iiQ`B 2K2`;2MiB [mHB H MMQ 7QiQMB+ 2 H `Bp2HxBQM2 QiiB+ / HiBbbBK b2MbB#BHBi¨X.

(17) _1alJ1 JQM i`pBH /2 /Q+iQ`i bǶBMiû`2bb2 mt T`QT`Bûiûb QTiB[m2b /2 MMQbi`m+im`2b Kû@ iHHB[m2bX AH 2bi THmb T`iB+mHBĕ`2K2Mi +2Mi`û bm` HǶûim/2 /2b T`QT`Bûiûb /2b THbKQMb /2 MMQ}Hb 2M Q`X SQm` H2b MHvb2`- DǶB KBb 2M mp`2 /Bzû`2Mi2b Kûi?Q/2b- +QKK2 H KB+`Qb+QTB2 /2 +?KT T`Q+?2 QTiB[m2 ¨ #Hv;2 UaLPJV 2i H bT2+i`Qb+QTB2 _KM T` 2tHiiBQM /2 bm`7+2 Ua1_aVX G +QKT`û?2MbBQM 2i H2 +QMi`ƬH2 /2b BMi2`+iBQMb 2Mi`2 H HmKBĕ`2 2i H KiBĕ`2 bQMi 2bb2MiB2Hb 2M `2+?2`+?2 7QM/K2MiH2 +QKK2 TQm` H2b TTHB+iBQMbX .Mb H +Qm`b2 ¨ H KBMBim`BbiBQM 2M T?QiQMB[m2- H HBKBi2 /2 /Bz`+iBQM 2bi mM Q#bi@ +H2 7QM/K2MiHX SHmbB2m`b /ûp2HQTT2K2Mib `û+2Mib 2i /2b TTHB+iBQMb BMMQpMi2b+QKK2 H2b H#Q`iQB`2b bm` Tm+2 UG# QM +?BTV QMi BMbTB`û /2b pQB2b MQmp2HH2b TQm` /ûTbb2` H #``Bĕ`2 /2 /Bz`+iBQMX G THbKQMB[m2 2bi mM2 /2b pQB2b TQbbB#H2b [mB  `2i2Mm HǶii2MiBQM +2b /2`MBĕ`2b MMû2bX *2 /QKBM2 b2 /ûp2HQTT2 i`ĕb `TB@ /2K2Mi 2i +Q``2bTQM/ ¨ mM +?KT /2 `2+?2`+?2 i`ĕb +iB7 2M QTiQûH2+i`QMB[m2 2i 2M MMQT?QiQMB[m2X AH 2tTHQBi2 H2b T`QT`Bûiûb QTiB[m2b T`iB+mHBĕ`2b /2b bi`m+im`2b KûiHHB[m2b TQm` KMBTmH2` H HmKBĕ`2 ¨ HǶû+?2HH2 MMQKûi`B[m2 /Mb H2 #mi /2 +QK#BM2` 7QM+iBQMb QTiB[m2b 2i ûH2+i`QMB[m2bX lM 2zQ`i BKTQ`iMi 2bi +QMb2MiB TQm` Q#i2MB` mM2 K2BHH2m`2 +QKT`û?2MbBQM /2b THbKQMbX C2 T`ûb2Mi2- /Mb +2 KMmb+`Bi- K +QMi`B#miBQM ¨ +2ii2 `2+?2`+?2 2M TH2BM2 2tTMbBQM- Q#i2Mm2 ;`+2 ¨ /Bzû`2Mi2b 2tTû`B2M+2bX *2 /Q+iQ`i  ûiû `ûHBbû 2M +Qimi2HH2 2Mi`2 HǶlMBp2`bBiû /2 SBb2 2i HǶlMBp2`bBiû S`Bb@ am/ 2i H2b `2+?2`+?2b QMi ûiû 2z2+imû2b m LMQ@H# /m /ûT`i2K2Mi /2 S?vbB[m2 /2 HǶlMBp2`bBiû /2 SBb2 2i m H#Q`iQB`2 BKû *QiiQM /m *L_a 2i /2 HǶlMBp2`bBiû S`Bb@am/X *2 i`pBH /2 i?ĕb2  ûiû +QMb+`û ¨ HǶûim/2 /2b T`QT`Bûiûb QTiB[m2b /2b MMQ}Hb 2M Q` T` /2b Kûi?Q/2b /2 +?KT T`Q+?2 QTiB[m2 ¨ SBb2 2i T` a1_a ¨ P`bvX G KBb2 2M ûpB/2M+2 2i H +`+iû`BbiBQM /2b 2z2ib HQ+mt /Ƕ2tHiiBQM /2 +?KT bm` /2b MMQbi`m+im`2b 2M Q` 2i H2m` `2HiBQM p2+ H KQ`T?QHQ;B2 QMi ûiû Q#i2Mm2b ;`+2 ¨ mM KB+`Qb+QT2 /2 +?KT T`Q+?2 QTiB[m2 +QMbi`mBi m LMQH#X 1M 2t@ THQBiMi H `ûbQHmiBQM bTiBH2 HBû2 ¨ H /ûi2+iBQM /2 +?KTb ûpM2b+2Mib- H KB@ +`Qb+QTB2 2M +?KT T`Q+?2 Qz`2 H TQbbB#BHBiû mMB[m2 /2 +`iQ;`T?B2` H2b +?KTb ûH2+i`QK;MûiB[m2b ¨ H bm`7+2 /ǶmM û+?MiBHHQM MMQbi`m+im`û 2M bǶz`M+?BbbMi /2 H HBKBi2 /2 /Bz`+iBQM- +QMi`B`2K2Mi m +b /2b KB+`Qb+QTB2b +QMp2MiBQMM2HH2.

(18) tBB. _1alJ1. Qm +QM7Q+H2X *2H T2`K2i /Ƕûim/B2` H2b T`QT`Bûiûb QTiB[m2b /2b MMQbi`m+im`2b p2+ mM2 `ûbQHmiBQM bTiBH2 /m KāK2 Q`/`2 Qm KāK2 K2BHH2m`2 [m2 H /BK2MbBQM /2b MMQbi`m+im`2b bm# HQM;m2m`b /ǶQM/2X G bT2+i`Qb+QTB2 a1_a /2b û+?MiBHHQMb 2bi miBHBbû2 TQm` ûim/B2` H2b 2z2ib /Ƕ2tHiiBQM /2b +?KTb +`ûûb T` 2t+BiiBQM /2b THbKQMbX G2 bB;MH _KM /2 KQHû+mH2b /2 +QHQ`Mib /bQ`#û2b bm` H bm`7+2 KûiHHB[m2 2bi mM2 bQM/2 b2MbB#H2 /2 +2b 2z2ib /Ƕ2tHiiBQMX lM 2zQ`i T`iB+mHB2`  ûiû 7Bi TQm` B/2MiB}2` H2b /Bzû`2Mi2b +QMi`B#m@ iBQMb ¨ HǶ2tHiiBQM _KM /Mb H2b û+?MiBHHQMb ûim/Bûb 2M +QK#BMMi H `ûTQMb2 /2 THmbB2m`b KQHû+mH2b 2i 2M ûim/BMi HǶûpQHmiBQM /m bB;MH 2M 7QM+iBQM /2 T`Kĕi`2b +QKK2 H HQM;m2m` /ǶQM/2 Qm H TQH`BbiBQMX G KBb2 2M mp`2 /2 +2b i2+?MB[m2b i`ĕb bTû+BHBbû2b  2m TQm` Q#D2+iB7 /ǶKûHBQ`2` H +QKT`û?2MbBQM /2b Kû+MBbK2b /Ƕ2t+BiiBQM /2b THbKQMb /Mb /2b û+?MiBHHQMb `û2Hb U/Bzû`2Mib /2b bvbiĕK2b KQ/ĕH2b bQmp2Mi /û+`Bib /Mb H HBiiû`im`2V- iQmi 2M T2`K2iiMi /ǶûpHm2` H2m` TQi2MiB2H TTHB+iB7 /Mb H2b /QKBM2b 2M TH2BM2 2tTM@ bBQM /2 H MMQT?QiQMB[m2 2i /2 H /ûi2+iBQM QTiB[m2 /2 i`ĕb ?mi2 b2MbB#BHBiûX G2 `ûbmKû +B@/2bbQmb /QMM2 mM T2`Ïm /m +QMi2Mm /2 H i?ĕb2X GǶBMi`Q/m+iBQM T2`K2i /Ƕ2tTQb2` HǶBMiû`āi /Ƕûim/B2` H2b T`QT`Bûiûb QTiB[m2b /2b MMQT`iB+mH2b KûiHHB[m2b 2i /Ƕ2tTHB[m2` H2b `BbQMb /m +?QBt /2 HǶûim/2 /2 T`@ iB+mH2b 2M Q`X G2b bvbiĕK2b 2M Q` bQMi KQBMb ûim/Bûb [m2 H2m`b û[mBpH2Mib 2M `@ ;2Mi T`+2 [m2 H2b T2`i2b BMi`BMbĕ[m2b /2b THbKQMb bQMi THmb 7B#H2b TQm` HǶ`;2Mi [m2 TQm` HǶQ` /Mb H2 /QKBM2 /2b HQM;m2m`b /ǶQM/2 pBbB#H2bX .Mb H2 /QKBM2 /m T`Q+?2 BM7``Qm;2 +2T2M/Mi- +2b T2`i2b /2pB2MM2Mi +QKT`#H2b KBb HǶQ` +QMb2`p2 mM iQmi bmTTHûK2MiB`2 i`ĕb miBH2- b #BQ+QKTiB#BHBiûX .Mb +2ii2 BMi`Q/m+iBQMH2 i`pBH /2 H i?ĕb2 2bi `2TH+û /Mb +2 +QMi2ti2X .Mb H2 +?TBi`2 k- D2 /û+`Bb H2b û+?MiBHHQMb [mB bQMi miBHBbûb /Mb H2b ûim/2bX G2b K2bm`2b a1_a 2i 2M +?KT T`Q+?2 QMi ûiû `ûHBbû2b bm` /2b `ûb2mt /2 MMQ}Hb /ǶQ`X *2b `ûb2mt QMi ûiû T`Q/mBib T` H2 ;`QmT2 /m T`Q72bb2m` "miB2` /2 JQM;2Qi 2M miBHBbMi mM T`Q+û/û 2M /2mt ûiT2b- Q`B;BMH- bBKTH2 2i T2m QMû`2mt +QKT`û ¨ /Ƕmi`2b Kûi?Q/2bX G2b T`QT`Bûiûb K+`Qb+QTB[m2b /2b û+?MiBHHQMb- +QKK2 H2 /B+?`QśbK2 2M i`MbKBbbBQM bQMi T`ûb2Miû2bX CǶB û;H2K2Mi ûim/Bû T` a1_a H2b T`QT`Bûiûb /2 MMQ}Hb 2M Q` BbQHûbX *2mt +B bQMi bvMi?ûiBbûb T` /2b Kûi?Q/2b /2 +?BKB2 ?mKB/2 2i BHb QMi ûiû +?2iûb +?2x LMQT`ixX .2mt ivT2b /Bzû`2Mib /2 MMQ}Hb QMi ûiû miBHBbûb , H2b T`2KB2`b 2M`Q#ûb T` /m +2ivHi`BK2i?vHKKQMBmK #`QKB/2 U*h"V- H2b b2+QM/b T` /2b bBHM2bX AHb QMi mM2 HQM;m2m` MQKBMH2 /2 e µK 2i mM /BKĕi`2 /2 jy MKX CǶB û;H2K2Mi miBHBbû /2b #BHH2b /ǶQ` /2 8y MK /2 /BKĕi`2 /Mb H2b ûim/2b a1_a /2b MMQ}HbX G2 +?TBi`2 j BMi`Q/mBi H2 +QM+2Ti /2b THbKQMb /2 bm`7+2- 2i THmb T`û+BbûK2Mi H2b +QM+2Tib /2 THbKQMb HQ+HBbûb Qm T`QT;iB7bX G2b T`BM+BT2b /2 #b2 /2b i?ûQ`B2b H2b THmb +Qm`KK2Mi miBHBbû2b TQm` /û+`B`2 H2b THbKQMb /2 bm`7+2 /2b MMQT`@ iB+mH2b- +QKK2 H i?ûQ`B2 /2 JB2 bQMi #`Bĕp2K2Mi `TT2HûbX PM /û+`Bi THmbB2m`b.

(19) _1alJ1. tBBB. Kûi?Q/2b miBHBbû2b TQm` 2t+Bi2` H2b THbKQMb /2 bm`7+2X G2b 2z2ib /2 /Bzû`2Mib T`Kĕi`2b +QKK2 H iBHH2- H 7Q`K2 2i HǶBM/B+2 /2 `û7`+iBQM /m KBHB2m 2MpB`QMMMi bm` H2b `ûbQMM+2b THbKQMb bQMi 2tKBMûbX *2ii2 /Bb+mbbBQM 2bi BKTQ`iMi2 TQm` +QKT`2M/`2 H2b `ûbmHiib /2b K2bm`2b /û+`Bi2b /Mb H2b +?TBi`2b bmBpMibX G2 +?TBi`2 9 #Q`/2 H2b 7QM/2K2Mib /2 HǶ2z2i a1_a /2 7ÏQM bBKTH2X G2 +?TBi`2  ûiû `û/B;û TQm` /QMM2` mM T2`Ïm /2b T`BM+BTmt Kû+MBbK2b /m a1_a- ++2bbB#H2 ¨ mM MQM bTû+BHBbi2X G2 /BbTQbBiB7 2tTû`BK2MiH 2i H T`ûT`iBQM /2b û+?MiBHHQMb bQMi /û+`Bib 2M /ûiBHX GǶ2tTû`B2M+2 +QK#BM2 mM KB+`Qb+QT2 /2 +?KT MQB` [mB T2`K2i /2 `ûHBb2` /2b BK;2b /2b û+?MiBHHQMb p2+ mM2 `ûbQHmiBQM /QMMû2 T` H HBKBi2 /2 /Bz`+iBQM 2i mM KB+`Qb+QT2 _KM +QM7Q+H- +QMbi`mBi m H#Q`iQB`2miBHBbMi mM Hb2` hB@a +QMiBMm ++Q`/#H2 /2 dyyMK ¨ NyyMK- p2+ mM2 TmBbbM+2 MQKBMH2 KtBKmK /2 jqX GǶBMi2MbBiû 2i H TQH`BbiBQM /m 7Bb+2m BM+B/2Mi bQMi +QMi`ƬHû2b ¨ HǶB/2 /ǶmM TQH`Bb2m` 2i /ǶmM2 HK2 /2KB@QM/2 H`;2b #M/2b /QMi H2b Q`B2MiiBQMb bQMi TBHQiû2b T` mM HQ;B+B2H /ûp2HQTTû m H#Q`iQB`2X G2b T`QT`Bûiûb /2b KQHû+mH2b /2 +QHQ`Mib miBHBbû2b +QKK2 bQM/2b /2 HǶ2z2i a1_a bQMi /û+`Bi2bX G2 +?TBi`2 8 2tTQb2 H2b `ûbmHiib /2b K2bm`2b a1_a `ûHBbû2b bm` H2b MMQ}Hb BbQHûbX GǶB/û2 BMBiBH2 /2b 2tTû`B2M+2b ûiBi /2 +QK#BM2` /2b K2bm`2b /Ƕ2tHiiBQM /2 +?KT 2i /2 T`QT;iBQM /Mb +2b bvbiĕK2bX AH bǶ2bi pû`û i`ĕb /B{+BH2 /ǶQ#b2`p2` /2 H T`QT;iBQM /Mb H2b MMQ}Hb 2M Q`X CǶB HQ`b KûHM;û mt MMQ}Hb /2b MMQ#BHH2b 2M Q`X 1HH2b b2`p2Mi /2 +QmTH2m`b 2Mi`2 HǶ2t+BiiBQM 2i H2b MMQ}HbX *2ii2 Kûi?Q/2  ûiû /û+`Bi2 /Mb H HBiû`im`2X C2 /û+`Bb /Ƕ#Q`/ mM 2Mb2K#H2 /2 `ûbmHiib [mB +QK#BM2 H2b BK;2b 2M +?KT MQB` /2b MMQ}Hb BbQHûb 2i H2b bT2+i`2b /2b THbKQMb Q#i2Mmb 2M /Bzû`2Mib TQBMib /2b MMQ}HbX *2ii2 ûim/2 K2i +HB`2K2Mi 2M ûpB/2M+2 H /BbT2`bBQM /2b T`Q}Hb bT2+i`mt /2 H `ûbQMM+2 THbKQM 2M 7QM+iBQM /2 H TQbBiBQM H2 HQM; /m MMQ}HX mbbB #B2M H 7Q`K2 [m2 H TQbBiBQM /m KtBKmK /m T`Q}H p`B2Mi 2M 7QM+iBQM /2 T`Kĕi`2b i2Hb [m2 H T`ûb2M+2 /ǶmM2 #BHH2 bm` H2 MMQ}H Qm H 7Q`K2 /2 HǶ2ti`ûKBiû /m MMQ}H- 2i+X C2 KQMi`2 2MbmBi2 H2b T`QT`Bûiûb /2 T`QT;iBQM /2b THbKQMb 2M 7QM+iBQM /2 H HQM;m2m` /ǶQM/2X Zmi`2 HQM;m2m`b /ǶQM/2 /Bzû`2Mi2b QMi ûiû +?QBbB2b , dyk MK- dk3 MK- d8y MK M/ ddy MKX GǶ2MD2m /2 HǶ2tTû`B2M+2  ûiû /2 +Q``ûH2` HǶ2z2i /2 T`QT;iBQM ¨ H `ûbQMM+2 THbKQM 2i /ǶMHvb2` H2m` `2HiBQMX G T`QT;iBQM 2bi Q#b2`pû2 T` H2 #BBb /m bB;MH a1_a Qm /2 H ~mQ`2b+2M+2 2tHiû2 [mB `ûbmHi2 /2 HǶBMi2`+iBQM 2Mi`2 H2 +?KT T`Q+?2 /m MMQ}H 2i H KQHû+mH2 /2 +QHQ`Mi bQM/2X CǶB KBb 2M ûpB/2M+2 H2b +QM/BiBQMb Mû+2bbB`2b ¨ HǶQ#b2`piBQM /2 H T`QT;iBQM /2b THbKQMb , H HQM;m2m` /ǶQM/2 /Ƕ2t+BiiBQM /QBi āi`2 T`Q+?2 /m KtBKmK /2 H `ûbQMM+2 THbKQM m TQBMi /ǶBMD2+iBQM /m THbKQM T`QT;iB7 2i T`Q+?2 /2 H `ûbQMM+2 KQHû+mHB`2X G /BbiM+2 /2 T`QT;iBQM H THmb ;`M/2 [m2 DǶB Q#b2`pû2 2bi j-3 µKX G THmb ;`M/2 /BbiM+2 /2 T`QT;iBQM Q#b2`pû2 Dmb[m2@H¨ /Mb H2b MMQ}Hb /ǶQ`  ûiû Q#i2Mm2 T` E`2MM 2i H 2i pmi k-8 µKX G bmBi2 /m +?TBi`2 /û+`Bi HǶMHvb2 /2 HǶ2z2i a1_a 2i 2M T`iB+mHB2` HǶûpQHmiBQM /m T`Q}H _KM p2+ H HQM;m2m` /ǶQM/2 /Ƕ2t+BiiBQMX .2 i2HH2b K2bm`2b bQMi ``2K2Mi.

(20) tBp. _1alJ1. 2z2+imû2b +` H2b /BbTQbBiB7b _KM M2 bQMi 2M ;ûMû`H Tb ++Q`/#H2b 2M HQM;m2m` /ǶQM/2X GǶûpQHmiBQM /m bB;MH _KM p2+ H HQM;m2m` /ǶQM/2 KQMi`2 H KāK2 i2M/M+2 [m2 +2HH2 /2 H T`QT;iBQM THbKQMX G /ûT2M/M+2 /2 HǶBMi2MbBiû /m bB;MH p2+ H /BbiM+2 /2 H KQHû+mH2 m TQBMi /Ƕ2t+BiiBQM /m THbKQM T`QT;iB7  ûiû ûim/Bû2 2i HǶBMi2MbBiû /û+`Qŗi T`Q;`2bbBp2K2Mi +QKK2 T`ûpmX *Ƕ2bi mM2 T`2mp2 /B`2+i2 [m2 H2 bB;MH _KM b2`i /2 bQM/2 /2 H T`QTT;iBQM /2b TQH`BiQMb /2 THbKQMb /2 bm`7+2X LQmb pQMb 2tTHB[mû H2b /Bzû`2Mib 2z2ib Q#i2Mmb /Mb HǶûKBbbBQM _KM- +QKK2 H2 +HB;MQi2K2MiX CǶB /ûKQMi`û- /2 7ÏQM +HB`2- 2M miBHBbMi bBKmHiMûK2Mi bm` H2 KāK2 û+?MiBHHQM /2mt KQHû+mH2b /Bzû`2Mi2b- H _?e: 2i HǶhhP d9y- [m2 H2 `û;BK2 /2 H KQHû+mH2 mMB[m2 ûiBi ii2BMi /Mb mM ;`M/ MQK#`2 /2 bBi2b +iB7bX G2 bB;MH /ûi2+iû 2M +2b TQBMib +Q``2bTQM/ b2mH2K2Mi ¨ H bB;Mim`2 /ǶmM2 /2b 2bTĕ+2b- DKBb mt /2mtX *2H /ûKQMi`2 bMb K#B;mśiû [m2 H2 TQBMi +?m/ 2bi i`ĕb HQ+HBbû- [mǶmM2 b2mH2 KQHû+mH2 v `ûbB/2 ¨ H 7QBb 2i [mǶ2HH2 2bi `2KTH+û2 T` mM2 mi`2 KQHû+mH2 [mM/ 2HH2 bǶûHQB;M2 /m TQBMi +?m/ T` /Bzû`2Mib 2z2ib /QMi H /BzmbBQM bTiBH2 /ǶQ`B;BM2 i?2`KB[m2X GǶQ`B;BMHBiû /2 KQM i`pBH 2bi /ǶpQB` `ûmbbB ¨ +Q``ûH2` THmbB2m`b T`QT`Bûiûb QTiB[m2b bm` mM KāK2 MMQ}H BbQHûX 1M iQmb TQBMib /m MMQ}H- QM 2M`2;Bbi`2 HǶ2Mb2K#H2 /2b /QMMû2b bmBpMi2b , HǶBK;2 2M +?KT MQB`- H2 bT2+i`2 /2 H `ûbQMM+2 THbKQM m TQBMi +?QBbB- HǶBK;2 /2 H T`QT;iBQM 2i H2 bB;MH a1_aX *Ƕ2bi H T`2KBĕ`2 ûim/2 mbbB +QKTHĕi2 `ûHBbû2 bm` /2b MMQ}Hb 2M Q` BbQHûb ¨ MQi`2 +QMMBbbM+2X 1HH2 T2`K2i /2 T`Q;`2bb2` ¨ H 7QBb /Mb H +QKT`û?2MbBQM /2 HǶ2z2i a1_a bm` /2 i2Hb bm#bi`ib 2i bm` H2b T`QT`Bûiûb /2 T`QT;iBQMX G2 +?TBi`2 e 7Bi H bvMi?ĕb2 /2b `ûbmHiib Q#i2Mmb T` a1_a bm` H2b `ûb2mt /2 MMQ}Hb /û+`Bib m +?TBi`2 kX G2 +?TBi`2 bǶQmp`2 bm` H2b `ûbmHiib /2 bBKmH@ iBQMb `ûHBbû2b TQm` ;mB/2` HǶBMi2`T`ûiiBQM /2b Q#b2`piBQMbX CǶB miBHBbû H2 HQ;B+B2H ..a*h +QMbi`mBi bm` HǶTT`QtBKiBQM /2 H /Bb+`ûiiBQM T` /2b /BTƬH2b U..VX CǶB +QKT`û /Mb /2b bBimiBQMb bBKTH2b H2b `ûbmHiib /m KQ/ĕH2 .. ¨ +2HmB /2 HǶTT`QtBKiBQM /BTQHB`2X G2b MMQ}Hb bQMi `2T`ûb2Miûb T` /2b 2HHBTbQś/2b HHQM;ûbX *2T2M/Mi H2m` HQM;m2m` 2bi HBKBiû2 T` H2b +QM/BiBQMb /2 pHB/Biû /2b KQ/ĕH2bX CǶB 2z2+imû /2b bBKmHiBQMb TQm` bmBp`2 HǶûpQHmiBQM /2 H `ûbQMM+2 THbKQM 2M 7QM+@ iBQM /2 H TQH`BbiBQM /m +?KT 2t+Bii2m`- /2 H iBHH2 /2 HǶ2HHBTbQś/2 2i /2 HǶBM/B+2 /2 `û7`+iBQM /m KBHB2m 2MpB`QMMMiX G2 +?KT miQm` /2 /2mt Qm i`QBb 2HHBTbQś/2b T`Q+?2b  û;H2K2Mi ûiû +H+mHû TQm` /2mt TQH`BbiBQMb Q`i?Q;QMH2b /m +?KTX G2 +H+mH +QM}`K2 [m2 H2 +?KT /Mb HǶBMi2`pHH2 2Mi`2 H2b T`iB+mH2b 2bi KtBKmK [mM/ H TQH`BbiBQM /m +?KT 2t+Bii2m` 2bi HB;Mû2 b2HQM H /`QBi2 [mB DQBMi H2m` +2Mi`2 2i i`ĕb 7B#H2 /Mb H /B`2+iBQM T2`T2M/B+mHB`2X GǶB/û2 [mB bQmb@i2M/Bi +2b K2bm`2b ûiBi /2 TQmpQB` bûT`2` H2b 7+i2m`b /Ƕ2tHiiBQM HBûb mt THbKQMb /2 bm`7+2 /2b MMQ}Hb /ǶmM2 T`i /2 +2mt HBûb ¨ mM2 2t+BiiBQM /2 H KQHû+mH2 ¨ `ûbQMM+2X .2 7Bi- +Ƕ2bi HǶ?ûiû`Q;ûMûBiû /2b û+?MiBHHQMb [mB  T2`@ KBb /2 /BbiBM;m2` /Bzû`2Mi2b +QMi`B#miBQMb ¨ HǶ2z2i a1_aX G2 T`ûbmTTQbû ûiBi [mǶBH.

(21) _1alJ1. tp. 2tBbiBi mM2 /Bzû`2M+2 BKTQ`iMi2 /2b 7+i2m`b /Ƕ2tHiiBQM TQm` H2b TQH`BbiBQMb /2 HǶ2t+BiiBQM T`HHĕH2 2i T2`T2M/B+mHB`2 ¨ H /B`2+iBQM KQv2MM2 /2b MMQ}HbX 1M T`BM+BT2- QM ii2M/ mM2 2tHiiBQM THmb BKTQ`iMi2 [mM/ H TQH`BbiBQM 2bi T2`T2M/B+mHB`2 mt MMQ}Hb UTQH`BbiBQM oV T` `TTQ`i m +b Qɍ H TQH`BbiBQM 2bi T`HHĕH2 mt MMQ}Hb UTQH`BbiBQM >VX *2T2M/Mi H2b `ûbmHiib 2tTû`BK2Mimt MǶQMi Tb KQMi`û /2 /ûT2M/M+2 +HB`2 /2 HǶBMi2MbBiû /m bB;MH _KM p2+ H TQ@ H`BbiBQM p2+ H b2mH2 KQHû+mH2 /ǶhhP d9y +QKK2 bQM/2 2i H2 bB;MH 2bi i`ĕb BMbi#H2X 1MbmBi2- mM2 mi`2 KQHû+mH2 [mB MǶ2bi Tb 2M `ûbQMM+2 p2+ H2 THbKQM /2 HǶû+?MiBHHQM- +2HH2 /2 _?e:-  ûiû +Q/ûTQbû2X CǶB pû`B}û [m2 H2 bB;MH a1_a /2 H `?Q/KBM2 MǶûiBi Tb /ûi2+i#H2- ?Q`KBb 2M mM MQK#`2 i`ĕb HBKBiû /2 bBi2bX .2mt 2z2ib /Bzû`2Mib QMi HQ`b ûiû Q#i2Mmb- mM 2z2i ;HQ#H 2i mM 2z2i HQ+HX GǶ2z2i ;HQ#H 2bi mM /û+H;2 p2`b H2 `Qm;2 /2 H HQM;m2m` /ǶQM/2 /2 H `ûbQMM+2 THbKQM [mB b2 i`/mBi T` HǶTT`BiBQM /2 `B2b THmb 7Q`i2b /Mb H2 /QKBM2 #bb2b 2i KQv2MM2b 7`û[m2M+2b /m bT2+i`2 _KM UlM i2H `ûbmHii T2mi bǶBMi2`T`ûi2` +QKK2 mM 2z2i /2 `ûbQMM+2 2Mi`2 H KQHû+mH2 2i H2 THbKQMVX *2 `ûbmHii 2bi 2M ++Q`/ p2+ H2b bBK@ mHiBQMb [mB KQMi`2Mi [m2 H HQM;m2m` /ǶQM/2 /m THbKQM 2bi /û+Hû2 p2`b H2 `Qm;2 HQ`b[m2 HǶBM/B+2 /2 `û7`+iBQM /m KBHB2m 2MpB`QMMMi m;K2Mi2X G2 /2mtBĕK2 2z2i BKTQ`iMi TT`ŗi HQ+H2K2MiX G bi#BHBiû /2b KQHû+mH2b /ǶhhP d9y 2bi ++`m2 2i HǶ2tHiiBQM m;K2Mi2 /2 7ÏQM BKTQ`iMi2X C2 MǶB Tb /Ƕ2tTHB+iBQM bBKTH2 TQm` +2 T?ûMQKĕM2 /QMi H +QKT`û?2MbBQM Mû+2bbBi2`Bi /2b ûim/2b /2 T?vbB+Q@+?BKB2 TT`Q7QM/B2bX CǶB bm;;û`û [m2H[m2b TBbi2b ¨ T`iB` /2b /QMMû2b /2 H HBiiû`im`22M T`iB+mHB2` bm` H2 `ƬH2 /2b BQMb bm` HǶ2{++Biû a1_a- 2i bm` H2 T?ûMQKĕM2 +QK@ TûiBiB7 /2 HBBbQM /2b KQHû+mH2b p2+ H bm`7+2 2M T`ûb2M+2 /ǶmM /2mtBĕK2 BQMX G2b ûim/2b 2M TQH`BbiBQM bQMi /û+`Bi2b 2i D2 KQMi`2 mM2 T`2KBĕ`2 bBimiBQM /Mb H[m2HH2 HǶBMi2MbBiû /m bB;MH +?mi2 i`ĕb `TB/2K2Mi HQ`b[m2 H TQH`BbiBQM iQm`M2 /2 b2mH2K2Mi kyêX .Mb HǶ2t2KTH2 [mB 2bi /û+`Bi H2 bB;MH 2bi KtBKmK HQ`b[m2 H TQH`BbiBQM 2bi HB;Mû2 b2HQM H2 MMQ}HX *2ii2 bBimiBQM b2 T`Q/mBi [mM/ H KQHû+mH2 2bi bBimû2 /Mb HǶBMi2`pHH2 2Mi`2 /2mt T`iB+mH2b bBimû2b bm` H2 MMQ}H THmiƬi [m2 /Mb HǶBMi2`pHH2 2Mi`2 /2mt MMQ}Hb bm++2bbB7b- +QKK2 H2 KQMi`2 H2b bBKmHiBQMbX *2i 2z2i TQm``Bi mbbB āi`2 mM2 KMB72biiBQM /ǶmM 2z2i /2 i`Mb72`i /2 +?`;2 2Mi`2 H KQHû+mH2 /ǶhhP d9y 2i H bm`7+2- +QKK2 D2 HǶ2tTHB[m2X G /ûT2M/M+2 2M HQM;m2m` /ǶQM/2 /2 bB;Mmt a1_a  û;H2K2Mi ûiû ûim/Bû2 /Mb H ;KK2 dyy@d3y MK [mB 2M;HQ#2 H `ûbQMM+2 /2 H KQHû+mH2 ¨ d9y MKX lM 2t2KTH2 2bi /Bb+miûX G2b `ûbmHiib BM/B[m2Mi [m2 HǶ2tHiiBQM KtBKH2 2M +QM};m`iBQM o 2bi ii2BMi2 ¨ d98 MK- HQM;m2m` /ǶQM/2 bBimû2 2Mi`2 H `ûbQMM+2 THbKQM /m bBi2 ûim/Bû 2i H `ûbQMM+2 KQHû+mHB`2X *2ii2 i2M/M+2 b2 +QM}`K2 û;H2K2Mi /Mb H +QM};m`iBQM > TQm` H[m2HH2 H2 bB;MH 2bi #2m+QmT THmb 7B#H2X G2 `TTQ`i /2b BMi2MbBiûb /2b bB;Mmt _KM /Mb H2b /2mt bBimiBQMb 2bi +Q``Q#Q`û T` H2b bBKmHiBQMb /m +?KT ûH2+i`B[m2 miQm` /2b 2HHBTbQś/2bX GǶB/û2 Q`B;BMH2 /2 +2b ûim/2b 2bi HǶmiBHBbiBQM /2 /2mt KQHû+mH2b TQm` 2tTHQ`2` H2b.

(22) tpB. _1alJ1. 2z2ib a1_aX lM2 2tTû`B2M+2 /2 +2 ivT2  /ûD¨ ûiû `ûHBbû2 T` _m 2i H- KBb p2+ TQm` Q#D2+iB7 /2 /ûKQMi`2` bMb K#B;mśiû HǶ2tBbi2M+2 /ǶmM `û;BK2 /2 KQHû+mH2 mMB[m2X .Mb K i?ĕb2- HǶmiBHBbiBQM bBKmHiMû2 /2 /2mt KQHû+mH2b bǶ2bi pû`û mM2 Kûi?Q/2 TmBbbMi2 2i T`iB2HH2K2Mi BM2tTHQ`û2 TQm` +QKT`2M/`2 H2b 2z2ib /2 +QmTH;2 2Mi`2 H2b THKQMb /Mb /2b û+?MiBHHQMb /2 MMQbi`m+im`2b 2M Q` /2Mb2bX .Mb H2 +?TBi`2 d- DǶBMi`Q/mBb H2b +QM+2Tib /2 #b2 /2 H KB+`Qb+QTB2 /2 +?KT T`Q+?2 QTiB[m2 ¨ #Hv;2 UaLPJVX lM +Qm`i `TT2H ?BbiQ`B[m2 T2`K2i /2 /QM@ M2` H2b T`BM+BT2b 2bb2MiB2Hb [mB bQmb@i2M/2Mi H KB+`Qb+QTB2 /2 +?KT T`Q+?2X G2 /BbTQbBiB7 2tTû`BK2MiH 2bi 2tTHB[mû 2M /ûiBHX lM2 pM+û2 BKTQ`iMi2 /m /Bb@ TQbBiB7 7QM+iBQMMMi 2M KQ/2 +QHH2+iBQM  ûiû Q#i2Mm2 T` HǶ/DQM+iBQM /ǶmM KQ/2 /Ƕû+HB`;2 /2 HǶû+?MiBHHQM [mB +QK#BM2 mM bTQi /QMi H iBHH2 2bi [mbB@HBKBiû2 T` H /Bz`+iBQM 2i /QMi QM T2mi +QMi`ƬH2` H TQbBiBQM 2i /ǶmM /BbTQbBiB7 /Ƕ2t+BiiBQM ¨ /2mt +QmH2m`b /QMi H TQH`BbiBQM T2mi āi`2 +QMi`ƬHû2X G2b /2mt BK;2b mt /2mt HQM;m2m`b /Bzû`2Mi2b U`Qm;2 2i p2`i2V bQMi Q#i2Mm2b bBKmHiMûK2Mi /Mb mM #Hv;2 mMB[m2- 2M 2tTHQBiMi H TQbbB#BHBiû /2 +QKKmi2` H2b Hb2`b /2 7ÏQM bvM@ +?`QM2 ¨ H }M /2 +?[m2 HB;M2- H2 Hb2` p2`i ûiMi HHmKû T2M/Mi H2 #Hv;2 HH2` 2i H2 Hb2` `Qm;2 T2M/Mi H2 #Hv;2 `2iQm`X G2 /BbTQbBiB7 T2`K2i û;H2K2Mi /2 `ûHBb2` /2b MHvb2b 2M TQH`BbiBQMX CǶBMi`Q/mBb /Mb +2 +?TBi`2 H Kûi?Q/2 Q`B;BMH2 [mB  ûiû miBHBbû2 /Mb KQM i`pBHX G2b TQbbB#BHBiûb mMB[m2b Qz2`i2b T` +2 KB+`Qb+QT2 TQm` HǶûim/2 /2b THbKQMb BKTHB[m2Mi HǶmiBHBbiBQM /2 /2mt /Bzû`2Mib KQ/2b /2 7QM+iBQMM2K2MiX G2 T`2KB2` 2bi mM2 +QM};m`iBQM /ǶBHHmKBMiBQM +QM@ biMi2 /Mb H[m2HH2 H TQbBiBQM /2 H i+?2 /Ƕû+HB`2K2Mi 2bi }t2 T` `TTQ`i ¨ H bQM/2 /2 +?KT T`Q+?2X G2b K2bm`2b Q#i2Mm2b /Mb +2 +b- `2~ĕi2Mi H /Bbi`B@ #miBQM /2 HǶBMi2MbBiû /m +?KT T`Q+?2 2t+Biû ¨ H bm`7+2 /2 H MMQbi`m+im`2 U¨ `ûbQMM+2 2i ?Q`b `ûbQMM+2 /Mb MQi`2 ûim/2VX *2H T2`K2i /ǶQ#b2`p2` H2b TQBMib +?m/b +`û2b T` H2b THbKQMb i`ĕb HQ+HBbûb 2i +Q``ûHûb m /ûbQ`/`2 KQ`T?QHQ;B[m2 /2b û+?MiBHHQMbX GǶmi`2 KQ/2 /2 7QM+iBQMM2K2Mi- /Bi ¨ BHHmKBMiBQM }t2- T2`K2i /Ƕ2t+Bi2` HǶû+?MiBHHQM ¨ mM2 TQbBiBQM T`û/û}MB2 2i /2 +`iQ;`T?B2` HǶBMi2MbBiû /m +?KT T`Q+?2 +`ûû T` +2ii2 2t+BiiBQM HQ+H2X G2 +?TBi`2 3 /û+`Bi H2b `ûbmHiib /2b 2tTû`B2M+2b /2 +?KT T`Q+?2 QTiB[m2 `ûHBbû2b bm` /2b `ûb2mt /2 MMQ}HbX G KQiBpiBQM TQm` miBHBb2` H2 KQ/2 +QHH2+iBQM 2i H2 +?QBt /2b mi`2b T`Kĕi`2b bQMi 2tTHB[mûb BMbB [m2 H2b HBKBi2b /2 +2ii2 Kûi?@ Q/2X C2 +QKK2M+2 T` KQMi`2` H2b BK;2b Q#i2Mm2b p2+ H2 KQ/2 /ǶBHHmKBMiBQM +QMbiMi2X G `2T`Q/m+iB#BHBiû /2b K2bm`2b 2Mi`2 BK;2b bm++2bbBp2b 2bi BHHmbi`û2 bm` mM 2t2KTH2 ivTB[m2X AH v  mM Hû;2` /û+H;2 bTiBH 2Mi`2 H2b BK;2b [mB 2bi T`Bb 2M +QKTi2 /Mb H2 i`Bi2K2Mi mHiû`B2m`X C2 /Bb+mi2 H2b `ûbmHiib Q#i2Mmb bm` /2mt û+?MiBHHQMb /ûTQbûb bm` /2b bm#bi`ib /2 p2``2 QM/mHûbX G2b BK;2b QTiB[m2b 2i iQTQ;`T?B[m2b bQMi KQMi`û2b p2+ mM TQbi i`Bi2K2Mi KBMBKHX CǶB i`+û H 7QM+iBQM /2 /2MbBiû /2 T`Q##BHBiû US.6 , T`Q##BHBiv /2MbBiv 7mM+iBQMV /2b BK@ ;2b QTiB[m2bX G /Bbi`B#miBQM /2b +`i2b 2M`2;Bbi`û2b p2+ HǶ2t+BiiBQM p2`i2 2i.

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(24) tpBBB. _1alJ1.

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(32) 3. ALh_P.l*hAPL.

(33) 1tT2`BK2MiH +QM}`KiBQM Q7  T`2/B+iBQM Bb K2`2Hv  K2bm`2@ K2MiX M 2tT2`BK2Mi /BbT`QpBM;  T`2/B+iBQM Bb  /Bb+Qp2`vX 1M`B+Q 62`KB. 1. aKTH2b RXR :QH/ MMQrB`2b ``vb h?2 }`bi bKTH2 Q7 BMi2`2bi Bb ;QH/ MMQrB`2 ``vb 7#`B+i2/ #v i?2 ;`QmT Q7 6`M+2b+Q "miB2` /2 JQM;2Qi 7`QK lMBp2`bBiv Q7 :2MQpX h?MFb iQ i?2B` mM+QM@ p2MiBQMH M/ Q`B;BMH K2i?Q/ Q7 bvMi?2bBb- b2H7 Q`;MBx2/ ``vb Q7 ;QH/ MMQrB`2b rBi? imM#H2 QTiB+H T`QT2`iB2b +QmH/ #2 Q#iBM2/X h?Bb K2i?Q/ +QK#BM2b i?2 b2H7 Q`;MBx2/ 7Q`KiBQM Q7  `BTTH2 Tii2`M QM i?2 /B2H2+i`B+ bm#bi`i2 #v /27Q+mb2/ BQM #2K bTmii2`BM; M/ i?2 /2TQbBiBQM Q7 ;QH/ i ;`xBM; M;H2 iQ 7Q`K i?2 ;QH/ MMQrB`2b (Ry)X h?2 bKTH2b `2 K/2 rBi?  irQ bi2T T`Q+2bb, Ç h?2 ;Hbb bm#bi`i2b r2`2 Tii2`M2/ #v 2tTHQBiBM; i?2 b2H7@ Q`;MBxiBQM K2+?@ MBbK BM/m+2/ #v bm`7+2 2`QbBQM i?`Qm;? BQM #QK#`/K2Mi i Qz MQ`KH BM+B/2M+2 (RR)X h?2 KQ`T?Qmb ;Hbb bm#bi`i2b r2`2 B``/Bi2/ rBi?  /27Q@ +mb2/ `+ BQM #2K BM  +mbiQK /2bB;M2/ l>o +?K#2`X h?2 `BTTH2 Tii2`M rb  `2bmHi Q7 bTmii2`BM; i M M;H2 θ = 35ê UrBi? `2bT2+i iQ i?2 bm`7+2 MQ`KHV- M BQM 2M2`;v Q7 143yy 2o M/ M BQM ~mt Q7 5 × 1015 BQMb/+K2 bX h?Bb H2/b iQ r2HH KQ/mHi2/ `BTTH2b /2}M2/ #v  T2`BQ/B+Biv BM i?2 ivTB+H `M;2 Ryy@kyy MK U/2T2M/BM; QM i?2 T`Q+2bb T`K2i2`bV (Rk)X Ç 7i2` i?2 7Q`KiBQM Q7 `BTTH2b QM i?2 ;Hbb bm#bi`i2- i?2 ;QH/ rb /2TQbBi2/ BM bBim #v i?2`KH 2pTQ`iBQM i  `i2 Q7 k MKfKBM i  ;`xBM; M;H2 Q7 BM+B/2M+2 Uφ = 80êV 7`QK i?2 bm#bi`i2 MQ`KHX lM/2` i?2b2 +QM/BiBQMb- i?2 bm#bi`i2- /m2 iQ b?/QrBM; 2z2+ib- KQ/mHi2b i?2 bTiBH /Bbi`B#miBQM Q7 i?2.

(34) Ry. aKTH2b. 6B;m`2 RXR, 1tT2`BK2MiH ;2QK2i`v /QTi2/ 7Q` i?2 b?/Qr /2TQbBiBQM Q7 m Lqb, i?2 Mm+H2iBQM iF2b TH+2 T`272`2MiBHHv M2` i?2 iQT Q7 i?2 BHHmKBMi2/ `2;BQMbX U6`QK _27X (Ry) V m ~mt BM/m+BM; i?2 Mm+H2iBQM Q7 K2iH +Hmbi2`b T`272`2MiBHHv M2` i?2 iQT Q7 BHHmKBMi2/ `B/;2b r?2`2 i?2 ~mt Bb ?B;?2` (Ry)X .m`BM; i?2 /2TQbBiBQMi?2 bm#bi`i2 Bb KBMiBM2/ i  i2KT2`im`2 Q7 k9y E- 2bb2MiBHHv iQ `2/m+2 i?2`KHHv +iBpi2/ /BzmbBQM Q7 i?2 K2iHX *QMiBMmQmb /2TQbBiBQM `2bmHib BM i?2 7Q`KiBQM Q7 TQHv+`vbiHHBM2 MMQrB`2b QM i?2 iQT Q7 i?2 BHHmKBMi2/ `B/;2b U};X RXRVX h?2 KQ`T?QHQ;B+H M/ QTiB+H +?`+i2`BbiB+b Q7 i?2 bKTH2 `2 /2i2`KBM2/ #v i?2 /2TQbBiBQM T`K2i2`bX h?2 bT2+i `iBQ rf? Q7 i?2 MMQrB`2 U};X RXkV 2b@ i#HBb?2b i?2 /2;`22 Q7 BMi2`+QMM2+iBQM #2ir22M i?2 MMQrB`2b i?i- HQM; rBi? i?2 `BTTH2 T2`BQ/B+Biv- /2i2`KBM2b i?2 7`2[m2M+v Q7 i?2 HQ+HBx2/ bm`7+2 THbKQM `2bQMM+2 UGaS_VX h?2 rB/i? r Bb }t2/ bBM+2 Bi Bb BKTQb2/ #v i?2 `BTTH2b QM i?2 ;Hbb bm#bi`i2 M/ bQ i?2 rf? `iBQ +M #2 KMBTmHi2/ mbBM; i?2 i?B+FM2bb Q7 i?2 /2TQbBiBQM Hv2`X  ivTB+H i?B+FM2bb pHm2 Bb ky MKX h?2 };m`2 RXj b?Qrb i?2 6J KQ`T?QHQ;v Q7 QM2 Q7 i?2 bKTH2b bim/B2/ rBi? a1_a HQM; rBi? i?2 +Q``2@ bTQM/BM; QTiB+H i`MbKBbbBQM bT2+i` iF2M BM :2MQpX h?2 6J BK;2b b?Qr . 6B;m`2 RXk, AHHmbi`iBQM Q7 i?2 rB/i? M/ ?2B;?i Q7 i?2 Lq r?Qb2 `iBQ /2i2`KBM2b i?2 GaS_ Q7 i?2 bKTH2 U6`QK _27X (Ry)VX.

(35) RXR :QH/ MMQrB`2b ``vb. RR. 6B;m`2 RXj, 6J BK;2 M/ i`MbKBbbBQM bT2+i` Q7 bKTH2 iF2M BM :2MQpX h?Bb Bb QM2 Q7 i?2 bKTH2b MHvx2/ rBi? _KM bT2+i`Qb+QTvX `i?2` B``2;mH` MMQrB`2 bi`m+im`2X h?2 p2`;2 /BbiM+2 #2ir22M irQ MMQrB`2b Bb `QmM/ RRy MKX h?2 QTiB+H i`MbKBiiM+2 bT2+i` `2 Q#iBM2/ #v K2Mb Q7 +QMp2MiBQMH UK+`Qb+QTB+V K2bm`2K2MibX h?2 bKTH2 Bb AHHmKBMi2/ #v K2Mb  +QKT2Mbi2/ /2mi2`BmK@?HQ;2M HKT U.>@kyyy@"G- JBF`QTFV +QmTH2/ i?Qm;? M QTiB+H }#2` bvbi2K U+Q`2 eyy µKV iQ  bi;2 7Q` i?2 i`MbKBbbBQM K2bm`2@ K2MibX AM+B/2M+2 TQH`BxiBQM rb p`B2/ 7`QK h1 U2H2+i`B+ }2H/ T`HH2H iQ LqbV iQ hJ UT2`T2M/B+mH`V #v K2Mb  :HM@ivHQ` TQH`Bx2` +m#2X *QHH2+iBQM Q7 i?2 HB;?i Bb T2`7Q`K2/ #v QTiB+H }#2` M/ T`Q+2bb2/ #v  S* +QMi`QHH2/ ?B;? `2bQHmiBQM bQHB/ bii2 bT2+i`QK2i2` U>_9yyy- P+2M PTiB+bV X h?2 };m`2 /BbTHvb i?2 bKTH2 i`MbKBiiM+2 Q7 irQ KmimHHv Q`i?Q;QMH TQH`BxiBQMb b  7mM+iBQM Q7 i?2 rp2@ H2M;i? Q7 i?2 BM+B/2Mi `/BiBQMX h?2 bKTH2b b?Qr  #`Q/ #bQ`TiBQM 72im`2 BM +b2 Q7 TQH`BxiBQM p2`iB+H iQ i?2 MMQrB`2 tBb- T2FBM; `QmM/ e9y MKX am+?  72im`2 +M #2 b+`B#2/ iQ i?2 Q++m``2M+2 Q7 GaS_- +Q``2bTQM/BM; iQ 2t+Bi@ iBQM Q7 i?2 bm`7+2 2H2+i`QM /2MbBiv BM i?2 i`Mbp2`b2 /B`2+iBQM Q7 i?2 MMQrB`2bX h`MbKBbbBQM Q7 HB;?i ?Q`BxQMiH iQ i?2 bKTH2 /Q2b MQi 2t?B#Bi Mv T`QMQmM+2/ 72im`2X .m2 iQ i?2 /Bz2`2Mi 7#`B+iBQM T`K2i2`b mb2/ 7Q` /Bz2`2Mi bKTH2bi?2 BMi2`rB`2 bT+BM; M/ i?2 bT2+i `iBQ `2 bT2+B}+ 7Q` 2+? bKTH2X h?Bb H2/b iQ `2K`F#H2 /Bz2`2M+2 BM i?2 QTiB+H i`MbKBbbBQM bT2+i`- r?2`2 i?2 #bQ`TiBQM 72im`2 T2`iBMBM; iQ i?2 GaS_ Bb Hrvb T`2b2Mi mTQM Q`i?Q;QMH TQH`BxiBQM#mi i?2 rB/i? M/ T2F TQbBiBQM +?B2p2 bT2+B}+ pHm2b 7Q` 2+? /BbiBM+i bKTH2X h?Bb +QM}`Kb i?2 #BHBiv Q7 i?2 i2+?MB[m2 BM iBHQ`BM; i?2 QTiB+H T`QT2`iB2bX h?2 Qp2`HH ?QKQ;2M2Biv M/ `2;mH`Biv Q7 i?2 KQ`T?QHQ;v im`M iQ #2 z2+i2/ #v i?2 7#`B+iBQM T`K2i2`b, BM T`iB+mH`- BM bKTH2b T`Q/m+2/ rBi? i?BMM2` ;QH/ /2TQ@ bBiBQM U2X;X- b?Q`i2` /2TQbBiBQM iBK2V  ;`MmH` bi`m+im`2 Bb Q#b2`p2/- T`Q##Hv b  +QMb2[m2M+2 Q7  MQM +QKTH2i2 +QH2b+2M+2 /m`BM; i?2 ;`Qri? Q7 i?2 ;QH/ Hv2`X.

(36) Rk. aKTH2b. RXk :QH/ MMQ#2/b aT?2`B+H ;QH/ MMQT`iB+H2b r2`2 mb2/ BM i?2 a1_a 2tT2`BK2Mib QM BbQHi2/ MMQrB`2bX :QH/ MMQ#2/b Q7 /Bz2`2Mi bBx2b U 8y M/ 3y MKV r2`2 Tm`+?b2/ 7`QK "" BM@ i2`MiBQMH U*`/Bz- lMBi2/ EBM;/QKV M/ mb2/ rBi?Qmi Mv 7m`i?2` T`Q+2bbBM;X h?2b2 #2/b `2 /BbT2`b2/ BM /2BQMBx2/ U.AV ri2` M/ `2 +TT2/ rBi? +Bi`i2 iQ pQB/ i?2 ;;HQK2`iBQMX. RXj :QH/ MMQrB`2b h?2b2 `2 +QKK2`+BH MMQrB`2b Tm`+?b2/ 7`QK LMQT`ixX h?2b2 MMQrB`2b `2 jy MK BM tBH /BK2i2` M/ e µK BM H2M;i?X AM i?2 #`2 7Q`K- i?2b2 MMQrB`2b `2 BKK2`b2/ BM .A ri2` rBi? 2t+2bb *h" +TTBM; ;2Mi iQ KBMBKBx2 ;;`2;iBQMX h?2 +QM+2Mi`iBQM ++Q`/BM; iQ i?2 T`Q/m+2` /i Bb 6 × 108 MMQT`iB+H2bfKHX LMQrB`2b rBi? bBHM2 +QiBM; ?p2 HbQ #22M mb2/X h?2b2 `2 #`Qm;?i 7`QK LMQT`ix M/ ?p2 i?2 bK2 /BK2MbBQMb Q7 i?2 T`2pBQmb QM2b U jy MK BM t@ BH /BK2i2` M/ e µK BM H2M;i?VX h?2 };m`2 RX9 b?Qrb i?2 i`MbKBbbBQM 2H2+i`QM KB+`Qb+QT2 BK;2 Q7  MMQrB`2 UiF2M 7`QK i?2 LMQT`ix r2#bBi2VX. 6B;m`2 RX9, LMQT`ixVX. h`MbKBbbBQM 2H2+i`QM KB+`Qb+QT2 BK;2 Q7  ;QH/ MMQrB`2 U6`QK.

(37) A7 r2 FM2r r?i Bi rb r2 r2`2 /QBM;- Bi rQmH/ MQi #2 +HH2/ `2b2`+?- rQmH/ Bi\ H#2`i 1BMbi2BM. 2. SHbKQMb kXR AMi`Q/m+iBQM h?2 BMi2`+iBQM Q7 K2iHb rBi? 2H2+i`QK;M2iB+ rp2b Bb H`;2Hv +?`+i2`Bx2/ #v Bib 7`22 2H2+i`QMbX SHbKQMb `2 ;2M2`HHv /2b+`B#2/ b  +QHH2+iBp2 Qb+BHHiBQM Q7 i?2 7`22 2H2+i`QMbX Ai +M HbQ #2 +HH2/ b i?2 [mMi Q7 bm`7+2 +?`;2 /2MbBiv Qb+BHHiBQMbX AM +HbbB+H T?vbB+b- Bi +M #2 pBbmHBx2/ b i?2 Qb+BHHiBQMb Q7 i?2 2H2+i`QM ;b Q7  K2iH rBi? `2bT2+i iQ i?2 }t2/ BQMB+ +Q`2bX am`7+2 THbKQMb q?2M i?2 bm`7+2 Q7  K2iH Bb 2t+Bi2/ #v i?2 2H2+i`QK;M2iB+ `/BiBQM- i?2 HB;?i +M #2 +QmTH2/ iQ biM/BM; Q` T`QT;iBM; THbKQM KQ/2b (Rj)X AM i?2 `2+2Mi v2`b- i?2 /pM+2K2Mi BM i?2 i2+?MQHQ;v ?b #`Qm;?i ;`2i BMi2`2bi BM i?2 bm`7+2 THbKQMb 7Q` i?2 TQbbB#BHBiB2b i?i Bi Qz2`b BM i?2 T?QiQMB+b }2H/X AM T`iB+mH`i?2 MMQ7#`B+iBQM i2+?MB[m2b /2p2HQT2/ BM i?2 `2+2Mi iBK2b KF2b Bi TQbbB#H2 iQ bi`m+im`2 K2iH bm`7+2b r?B+? +M #2 mb2/ iQ +QMi`QH i?2 bm`7+2 THbKQMb M/ i?2B` T`QT;iBQMX GQ+HBx2/ bm`7+2 THbKQMb q?2M  bm`7+2 THbKQM Bb +QM}M2/ iQ  MMQT`iB+H2- i?2`2 Bb  +QMi`B#miBQM iQ i?2 +QHH2+iBp2 Qb+BHHiBQM 7`QK i?2 7`22 2H2+i`QMb Q7 i?2 T`iB+H2X h?2b2 `2 FMQrM b HQ+HBx2/ bm`7+2 THbKQMb UGaSVX h?2 GaSb `2 Q7 ;`2i BMi2`2bi #2+mb2 i?2.

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