Rounding Voronoi Diagram
25
0
0
Texte intégral
(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. Rounding Voronoi diagram Olivier Devillers — Pierre-Marie Gandoin. N° 3481 Aout 1998 THÈME 2. ISSN 0249-6399. apport de recherche.
(3)
(4)
(5)
(6) "! #$ %&!('*),+ "!-!(/. 012!- %*34125,6,78 5 9;:=<->@?ABDCFE-G=HI?KJML$N&HMO HI?-J ? PQO R/JSOTUJWVYXZ>[2L$JMHS\&TU? ]_^`L/ab? PQ]_^`HMVc>d? efR$g=ghL&^YPfij?k^`?-Ol:=?-^`Ol:U?mG2no/p"q=rBDs;L&TjPKr-t&t$qBuAjrFgUR/N&?-V v wx-y z|{=}$y$~ L$>dg=TjPlR|PcHML$GhR/JN&? L&>@? Pc^`XO JMR&VcVcHMO-R/JMJIX*R$V`VYTU>@?(VK^`?-R/JIG"TU>[2? ^R$^cHIPc:=>d? PcHSO :=HSOl: i=L"?(VdG=L/P ?jHMVYP HIGR&OP`TUR/JfO L$>dg=TjP`? ^lV sVcL$JMTjP`HIL&GO L$GUVcHSVbPlVdHIGTUVcHIGUNHIG"Pc?-N$?-^OLZL$^lijHMGUR|P`?-V L$^ iUR|P`R@R/Ghi?=R&OPR/^`HP`:=>d?PcHSOQ L$^OL&>@gUTjP`R/PcHML$GUV-_9;:=HMVR$g=g=^`L&R&Ol: HI>dg=JMHI?(VPc:UR/PHPc:=?k^`?-VcT=JPlVL/R$G R$JIN&L$^`HP`:=>R/^`?QP`:=?kHIGUg=TjPfL/,R/G=L$Pc:=?-^-"P`:=?-Vc?k^c?(VYT=JIP`V>TUVbP[2?k^cL&T=GUij?(i PcLd> R|PlOl:P`:=HMVf:"XZg2L/P`:=?-VcHMV L$2HMG"Pc?-N$? ^OLZL$^lijHMGUR|P`?-V-GdPc:UHMVgUR/g2? ^($?Pc^`?-R/P_Pc:=?O R$Vc?L/8PbL/ijHM>@?-GUVcHIL&GUR/JZ_L$^`L$GUL$HUijHSR/N&^`R$> V R$GUiR$^c?HIG"P`? ^`?-VYPc?-iHIG@^cL&T=GUijHMG=NQPc:=?_L$^`L$G=L&H&&? ^cPcHSO?(VR/PN&^cHSiKg2L$HMG&PlV:=HIJM?;HIG"P`? ^`?-VYPcHMG=NQg=^`L$g2? ^cPcHM?-V L$P`:=?K_L$^`L$G=L&HijHMR$N$^lR/>R$^c?kg=^`?-Vc? ^`$?(i9;:U?-Vc?FgU^cL&gh?-^YP`HI?(VR/^`?QP`:=?Kg=JSR/GUR$^cHIPbX L/Pc:=?K?->[2?-i=i=HIG=N R$GUiPc:=?QO L$GZ$? jHPbXKL$hP`:=?fO?-JIJSV $?N&HI&?;RkO L$GUijHIPcHML$GdL&GP`:=?N$^`HMidVcHI-?PcLK? GhVYT=^`?Pc:UR/P^cL&T=GUijHMG=NFPcL P`¡ :=?G=?(R/^`?-VYPfN$^`HMig2L$HMG"PQg=^`?-Vc? ^`$?FPc:=?g=^cL&gh?-^YP`HI?(V ?R/JSVYL g=^`?-Vc? G"Pf:=?-T=^`HMVYPcHSO V;P`L^`L$T=GUi&? ^cPcHSO?-V G=L/PP`L@Pc:=?KG=?(R/^`?-VYPl¢R/Ghig=^`?-Vc? ^`$?Pc:U?-Vc?Kg=^cL&gh?-^YP`HI?(V £¤"¥8¦`§¨ z|©x$~ N$?-L$>d?P`^cHSOQO L$>dg=TjP`HIG=Nhj_L$^`L$G=L&H2i=HMR$N$^lR/> &HMG"Pc?-N$? ^;OLZL&^`ijHMGUR/Pc?-V-Z?=R$OPO L$>dg=Tj PlR|P`HIL&GUV. ª«(¬®W¯8°±%²f¯W³l´|³l± µ%¬¶³l·®· ¸Qº¹»´(´$°± µ%¼Y½F¾ ¸¿8À-Á2ÂWÃĪÅ(ªÂÇÆÈÅZÃÄÈ. Unité de recherche INRIA Sophia Antipolis 2004, route des Lucioles, B.P. 93, 06902 Sophia Antipolis Cedex (France) Téléphone : 04 92 38 77 77 - International : +33 4 92 38 77 77 — Fax : 04 92 38 77 65 - International : +33 4 92 38 77 65.
(7)
(8) x
(9) ~ R N$E L&>dEPc^`HM?@R$JIN&L$^`HP`:=>dHM\"T=?@^c?-ghL"VY?@N$E-G=E ^lR/JM? >d?-G&PKVcT=^kJ TjPcHMJMHMV`R|P`HIL&G*ij?dG=L&>[=^`?-V ? =R$OPlVfG=L&G^c?-g=^`E-Vc? G"P`R$[=JI?(VfVcT=^QT=GÇL$^lijHIGhR|Pc?-T=^f^`E ?-J% QG=?VcL$JMTjP`HIL&G4OL$GhVYHSVbP`? TjP`HIJMHSVY?-^Fij?(VQO L"L&^Y i=L$G=G=E-?-V;?-G&P`HI<-^c?(V;?P R/HM^`?ki=T O-R/JSOT=J?=R$OPVcT=^fO ? JMJI?(VbOHº ?PYP`?R/g=gU^cLjOl:=?kHM>@gUJIHS\"T=?i R/^`^cL&GUijHM^ JM?-V;^`E-VcT=JIP`R/P`Vi T=GR/JMN$L&^cHIPc:=>d?kVYHJ L$G$?-TjPghL&T=$L&HI^JM?-V;^`E HMG|ab?-OPc?-^fi=R/GUV;TUG R$TjPc^`?KR/JMN$L&^cHIPc:=>d?& FR$^cR/^`GhL$GhVfijOHI?K^_^lJM?-R/Vg=g2VYL&L$>d^cP->@UJI? ?P`VO-R$ijVf?Qij_T4L&^ci=L&HMG=R$N$L ^lWR/R$>dTj@>dg2?kL$i=HMG"?KP`_VL$i ^` L$TUG=G=L ?Q_N&[=^cHMHMi=JIJMHI?f>d?-? GGhOVYL$HML$GhG=VYGU?-^c? |JWR/?(G"VbPPJMR$?-[hVL&g=^`^ci=L&E g=_^`L$HIE GPcE-OlV:=HI?-G"^`PcOlE-:U^c? ?(Vb V`R/G"P`?-VijTi=HMR$N$^lR/>d>d?$"Pc?-JIJM?-V;\"T=?kJMRg=JSR/GUR$^cHIPcEFijTg=JIL&G=N$?->d? G"P? PJMR@OL&G"&?jHIPcEkij?-V;O?-JIJMT=JM?-V- G i=L$G=G=?T=G=?FOL$GhijHP`HIL&GVYTU^JM?QgUR&Vij?JMRN$^`HIJMJM?fghL&T=^N"R/^lR/G"PcHM^\"T=?J R/^`^cL&GUijHUi=?-VVYL&>@>d? P`Vi=?Q_L$^`L/ GUL R$Tj ghL&HIG"P`VFij?JMR N&^cHMJMJI?JM?-Vg=JMTUVfgU^cLjOl:=?(VQOL&GUVc? ^`$?O?(Vfg=^`L$gU^cHMEP`E-V- G4g=^`E-Vc? G"Pc?E-N&R$JI?->@?-G"P i=?-V:=? TU^cHSVbP`HM\"T=?(Vi R/^`^cL&GUijH2ghL&T=^;JI?KO R&VL JI?kgUR&Vi=?FJSRN$^`HIJMJI? R/HIPf\"T=?kJ R/^`^cL&GUijH8R/Tg=JMTUV;g=^`LZOl:U? GU?F^`?-Vcg2?-OP`?KgUR$VO ?-V;g=^`L$gU^cHMEP`E-V- ¨ y(x ¦ } ! x ~ N$E-L$>dEP`^cHM?R/JMN$L&^cHIPc:U>@HS\"T=?$O-R/JSOT=JN$E-L$>dEP`^cHS\"T=?$,P`^cHSR/GUN$T=JSR|P`HIL&G ij"? Q?-JMR$T=GUR»X$ i=HMR$N$^lR/>d>d?Fij?K_L&^cL&G=L `ZOLZL$^lijL$GUG=E ?(V?-G"PcHM< ^`?-V-=O R/JSOTUJ?=R$OP.
(10)
(11) . . o. 9;:U? L$^`?P`HMO-R/JOL$>dg=T=P`R|P`HIL&GUR/JN$?-L$>d?P`^cXL/ÄP`? G*R$V`VYT=>d?(i ^c?(R/JIºGZT=>[h?-^R/^`HIPc:=>d?P`HMOPcL >dLZi=? J_OL&> gUTjP`R/PcHML$GUV-_G gU^`R&OPcHSO?&ZPc:=HSV>dLjij? JHMV;G=L$PfHI>dg=JM? >d?-G&PlR/[=JM?KL$G R/G R$OPcTUR$JWOL&>@gUTjPc?-^QR/GUiPc:U?KTUVY? L$! UL&R/PcHMG=Ng2L$HMG"POL&>dg=TjP`R/PcHML$GR&VR/G R/g=g=^`L»jHI> R/PcHML$GdL/^`?-R/J2R/^`HP`:=>d?P`HMOQHMV?-JIJ "ZG=L|GdPcLX"HM? JSi=V i=$H #OTUJPKg=^`?-O HMVcHIL&GÇg=^`L$[UJI?->dVFHMGÇP`:=?dHI>dg=JM? >d?-G&PlR|P`HIL&GL$N$?-L$>d?P`^cHSOR$JIN&L$^`HP`:=> V e?-O ? G"PP`^c?-GUi=V HMG4OL&>dg=TjP`R/PcHML$GUR$JWN$?-L$>d?P`^cX OL$GhVYHSVbPlVHMGTUVYHMG=NHMG"Pc?-N$? ^OLZL$^lijHMGUR|P`?-VPcL^c?-g=^c?(VY?-G"PP`:=?i=R/P`RUhR/Ghi ? =R$OPHMG"Pc? N&? ^R/^`HIPc:=>d?P`HMOFP`Ld>d%R "$?FPc:U?OL$>dg=T=P`R|P`HIL&GU'V & p= (jr&*r ) +, {=}$y ¨ y - W/y . smVcL$JMTjPcHML$G PcLVcL$JM$?kg=^`?-O HMVcHIL&G g=^cL&[=JM? > O L$GUVcHMVYP`VfHIG TUVcHIGUNVYL&>@?K? =R$OP^`? g=^`? Vc? G"PlR|PcHML$G L&^fPc:U?HIGUg=TjPFR$GUi ?=R&OPQOL&>dg=TjP`R/PcHML$GUVfPcLdPlR "$?ij?-O HMVcHIL&GUVHMGUVcHMij?Pc:=?@R/JMN$L$^`HIPc:=> 1 0=L$^ ? =R/>dg=JM?$HIg2L$HMG&PO L"L&^`i=HIGUR/Pc?(VFR$^c3? 2`[=HPlVkHIG"P`? N$?-^-8P`:=? GPc:U?@HMG"Pc?-^`Vc?-OPcHML$GÇL$JMHIGU?@Vc? N&>@?-G"P`VkO R$G [2?KVYL&JI&?-i ThVYHMG=NdR/G? =R$O5P 4%2lº[=HIP`V;R$^cHIPc:=>d? PcHS O & o ) fGj L&^YP`T=GUR/Pc? JMX$"P`:=HMVR$g=g=^`L&R&Ol:L&^ "jVL$G=JMXd L$^ R@VcHIG=N&JI?kR/JMN$L&^cHIPc:U>PbLR$JIN&L$^`HP`:=> V:hR»$?fP`Ld[h?kOl:UR/HMG=?(iR/Ghi Pc:U?FL&TjPcgUTjPL/L&G=?>TUVYP;[2?FPc:=? HMG=g=T=PL/R/G=L$Pc:=?-^-Pc:=?-G? GU? ?-iR$G ?=R$OP^c?-g=^c?(VY?-G"P`R|P`HIL&GÇL$P`:=¡ ?L&TjPcg=T=P-GP`:=?? jR$>dg=JI? L$ HMG"Pc?-^`Vc?-OPcHML$GÇL$JMHIGU?dVc? N&>d? G"P`V-W^lR|PcHML$GhR/J,GZT=>[2? ^lVFHP`6: 4/2`[=HPlV GZT=>d? ^lR|P`L$^KR/GUi*ij?-G=L$>dHMGUR|P`L$^¢ R$^c? G=? ?(ij?-i PcL*^c?-g=^`?-Vc? G"PHMG"Pc? ^lVc?-OP`HIL&G g2L$HMG&PlVdOLZL$^lijHMGUR|P`?-V-*FVY?-$? ^lR/JR/JMN$L&^cHIPc:=> V:UR»$?PcL*[h? Ol:hR/HMG=?-iPc:=HSV;R/g=g=^`L&R&Ol:XZHI?-JMiUVR$GT=GhR$O O ? gjPlR/[=JM?FHIGUO ^c?(R$Vc?QHMGP`:=?kg=^c?(OHSVYHML$G TUVc?-i P`L@VYPcL&^c?^c?(VYTUJPlV VYP`R$¨ ^Y 8P`HI7GU:© N97:Pc:U; ?FGU9;?Z:=P?L$R/G=JIPc?&?-j^c^cGhL&R|T=PcGUHM$ij?;HMG=R/NgUg=>d^c?(L"R/R$GUOl:VPcO LdL$GU>dVcHSL|Vb$PlV?QHMPcG@:=?k^cL&? T=jGUR&ijOHMP;G=^cN?(PcVY:=TU?JPl^`V?-P`VcL T=JIVYPL&L$>@2? R/Gd<=jR/?-JMN$iL&Vc^cHIHI-Pc:U?-i>HMG"[2Pc??- L&N$^c? ?^ ^`? gU^c?(VY?-G&PlR|P`HIL&GW^`?-VcT=JPlVOL&GUVcHMVYPHMG ghL&HIG"P`V-&Pc:=?-X>TUVbP[h?f>dL|&?-iPcLO L$HMGUOHSij?HIPc: P`:=?f&? ^cPcHSO?-V L$;R4N$^`HMi G*Pc:UR/PO R&VY?&R [=^`TjP`?d L$^lO? ^`L$T=GUi=HIG=N> R»X*R/JIPc? ^Pc:=?gU^cL&gh?-^YP`HI?(VkL/;Pc:=?^c?(VYT=JIP- L$^ ? =R/>dg=JM?QROL&GZ$?dg2L$JMX"N&L$Gd> R»XdJILZL&Vc?HIP`VOL$GZ&?jHPbX@R|ÄP`? ^^cL&T=GUijHMG=NU"R/GUi Pc:=?FVY?(OL$Ghi R/JMN$L$^`HIPc:=> > R»XFG=L/PL&^ "L$GkP`:=?^`L$TUGUij?-ik^`?-VcT=JIP =»P`:"ThVHIPHSVGU?-O?(VcV`R/^`XfP`LQij>? <UG=?^`L$TUGUij?-ik>d? Pc:=LjigU^c?(VY?-^cZHMG=N P`N&:=? ? L&>@ij? L$Pc> ^`HMR$O-HIR/GWJ8g=P`^`LL$g2Pc:=? ^c?3PcHM"Z?-G=V;L|L$_JML$?-[jijabN&?(?OP`L/V-Pc9;:=? :U?R$Tj^cL&Pc:=T=L&GU^`ijV-HMG=g=N ^`L$? ZHMN&L$? TUL$VF>d? PcL$^`^HM"ZOKVFVYijPc^`?(TUR/OJ,P`L$T=G=^`?KJMXHMVfRdHIPc:*GU? Pc :=?dOL&^`GUL$OT=?-Gh^cijG HIGUHMGN L$,R$^c^lR/GUN$? >d?-G&PL$JMHIGU?VY?-N$>d? G"Pl?V & q= @),R/GUi R/^`^lR/G=N&? >d? G"PL/Pc^`HMR$G=N$JM?-VfHIGo A& B)º;9;:=?-Vc?L$^ "jV ThVY?(Di C**EF
(12) k:=?-^c?KR@g2L$HMG&PfHSV^`L$T=Ghij?-iPcLdHIP`VG=?(R/^`?-VYPN&^cHSi ghL&HIG"P- GK¨ z ¨ 7 ¨ 9 GPc:=HSVghR/g2? ^(|?R$i=ij^`?-V`VP`:=?gUR/^cPcHSOT=JSR/^g=^`L$[=JM? > L/=^`L$TUGUijHMG=NfP`:=?_L&^cL&G=L$HZijHSR/N$^lR/> L$R@VY? PL/g2L$HMG"P`VIHHIGP`:=?kg=JMR$G=? ¡ Vc? ?Q?><UG=HIPcHML$G r(¢_sfG ?=R/>dg=JM?FL/Ol:hR/HMG=HIGUN@R$JIN&L$^`HP`:=> V> R»X [2? L$T=GUi4HIG*o ^c?(OL$GhVbP`^cTU¡ OPcHML$GW2:=?-^c??GU? ?-i4PcLOL$>dg=T=Pc?P`:=?@L|$? ^`JSR/g L/_L&^cL&G=L$HijHSR/N$^lR/> &Mr/8AJ);CFHM$?-G4RD > % RdN$^lR/g=: ? >[h?(i=ij?(i HIG P`:=?g=JSR/G=?»¢2?KHMJMJV`R»XPc:hR|PfP`:=HMVijHSR/N$^lR/> HMV EKLFH;HIP`VK?(ijN$?(VKijL G=L/PO^`L&V`VkR/GUN i MOPJQRdHI;R$JIJO ? JMJMVKR$^c?dOL&GZ$?@PHMVk? JMSJ "ZG=L|GPc:UR/PKR _L&^cL&G=L$H8ijHSR/N&^`R$> HSV;g=JSR/GUR$^R$GUiO L$GZ$? R/GUiPc:=?-^c?F?jHSVbPfR$JIN&L$^`HP`:=> VP`L@O L$>dg=TjP`?P`:=?kL|$?-^cJSR»XL$ PbLQO L$GZ$? Fg=JSR/GhR/^,ijHMR$N$^lR/> V--[=T=P,O L$GZ$? ZHIPbXR$GUigUJMR$GUR/^`HPbXF> R»XkG=L/P[h?g=^`?-Vc? ^`$?-iFHI=Pc:U?&? ^cPcHSO?-V L$¡ P`:=?K_L$^`L$GUL$HWijHSR/N&^`R$> R/^`?KVYGUR$gj^cL&T=GUij?(¡i PcL N&^cHSighL&HIG"PlV TG 0HMN$T=^`? r$jP`:=?K^`L$T=GUi=?-i ijHSR/N$^lR/> HIG*i=R$Vc:=?(iJIHMG=?(V`¢Q:UR$VFRGUL$GÇO L$GZ$? O ? JMJ Pc:=?dVc:UR$ij?(i4O?-JIJÄ¢kGÇPc:=HSVQghR/g2? ^F?@HIJMJHIGZ$?(VbP`HIN"R|P`? L&G :=HSOl: O L$GUijHIPcHML$GhVP`:=?VcGUR$g ^cL&T=GUijHMG=N4L$R4_L&^cL&G=L$HijHSR/N$^lR/> HMJIJ;g=^`?-Vc? ^`$?gUJMR$GUR/^`HPbX R/Ghi O L$GZ$? jHPbX& *?KHIJMJR$JMVcL@i=? $?-JIL&g L$Pc:=?-^R»X L$^`L$TUGUijHMG=NP`:UR/GVcGUR/g^`L$T=GUi=HIG=Nh ÂÂVUWYXOZ\[^].
(13) p. Q\P^ K KLQ>OC
(14) 5/ . eL$T=GhijHIGUN@L$_L&^cL&G=L$HijHSR/N&^`R$>. 0HIN&T=^c?dr. ¨ :72y ¤ z
(15) ¤ , { -
(16) ! ¤ . s N$LZLjiK^cL&T=GUijHMG=NFijLZ?-VG=L/P,?jHSVbPHIGPc:U?L$^lVbP,O R&VY?&sQV,Vc:=L|G[ZX 0HIN&T=^`? =A /HIPHMV,G=L$P_ghL"VcVcHI[UJI?PcLk:UR»&?VcHM>T=JIP`R$G=? L&TUVYJMXKHMGdRF^`L$T=Ghij?-i$?-^`VcHIL&GL/2Pc:U?;i=HMR$N$^lR/> Pc:U?fOL$GZ&?jHPbX L$O?-JIJ,L/*R/Ghi4R <=j?(i4[2L$T=GUi4L$G4P`:=?dijHMVYP`R$GUO?[h? Pb?-? G4_L&^cL&G=L$H$?-^YP`HMO ?-VFR/GUi P`:=? HM^k^cL&T=GUij?(i &? ^lVYHML$GhV . . _GPc:UHMV;? jR$>dg=JI?&URbN&LZLZi^cL&T=GUijHMG=N ijLZ?-V;GUL/P?jHSVbP O L$¨>d 8g=7Tj© PlR|¤ P`© HIL&GU} R/¨ J= N&? -
(17) L& >@y-{=? Pcy^`9 X¨ 7HM>d{ ! g=JI; X ¤ZVc¨ L$ >d¤?fy-Oz L&¥GZ$h? ¤^`N$z|?-x GU Ox?;©:9 HIx-Pc}$: z <h¤ ? y JS¤ i=V; Vc¤ZTU¨ Ol :¤ijy HSVcz O ¥ ^c? Pc?9;N&:=? ?L$>dTUVc? ? Pc^`L$XQL$N$^^`OHSi L&>HMG 0HMN$T=^`?A. gUTjPc?-^ZHMVcHML$GW9;:=?> R/HMGijH2?-^c?-GUO?[h? Pb?-? GKP`:=?R$g=g=^`L&R$Ol:U?-V8TUVc?-iKHMGkPc:U?-Vc?ijL&>dR$HIGhVWHSVRf\"T=?(VbP`HIL&G Ã ÂWÃÄÈ.
(18)
(19) . (. $L L&^`i=? ^L/,> R/N&G=HP`TUij?&GR/G HI> R$N$?KRdN$^`HMi g2L$HMG&PfHSVfRdg=HIj? JºUR/GhiP`:=?KPbXZg=HSO R$JWVYHM ?KL$,R$GHM> R/N&? HSV gUHj? JSV-G O L$>dg=TjPlR|P`HIL&GUR/JN&? L&>@? Pc^`X$Pc:=?GZT=>[h?-^L/N&^cHSi*ghL&HIG"P`Vij? g2? Ghi=VL&G P`:=?FHIG"Pc?-N$?-^;R$^cHIPc:U>@? PcHSO/jRN$^`HMiL/
(20) ¡ L$^fA/p[=HIP`VHMG"Pc? N&? ^¢HSV;RJML|? ^[hL&T=GUi 9;:UHMVKijH 8? ^`? GUO ? L/V`O R$JI?d:UR&VKOL&GUVY?(\"T=? GUO ?-VFL$GPc:U?R/JMN$L$^`HIPc:=> L&^K?=R/>dg=JM? VbP`L$^`HIG=N Pc:U? ? G"PcHM^c? N&^cHSi HMV;G=L$PfghL"VcVcHM[=JI?kHIPc:Pc:hR|PQVcHI-?-V- GK¨ z ¨ 7 ¨ 9© ¤ 7:9Äy 9 ¨ 7. ¤ 7:9Ä^y 9 ¨ 7 Q HQ C>Q1 E C !Q1EKLQ#"%$'&")(( (*"+$-,."0/1/ M2/Q MOK K34 Q C* 5 Q\C PJ M O C* 6/S 5424 Q 74 Q> E C 84 Q5EK Q 9 QO/M# C* 5 Q $-:;/Q <4 %M=!Q Q % >@?A$-:B;4 <1MOC CD4 Q1E CC M>KLJC>Q>E F$-:G!
(21) H 74 Q>1E I HJI >@?A$ : B%KMLNPORQ1SUTWVX?!N8YZ$ : B ['VX?4N
(22) YZ$ \<B^]`_=Kc a bZd /1Q\QGD V /Q\7 Q*CD4 QJIe YM\K$ %QO6 C# MOQ Q S 9;:U?^`? N&HIL&G >?f$ : ;B HSVFPc:=?@HIG"P`? ^lVY?(OPcHML$GL/R <UG=HIPc?dGZT=>[h?-^FL$O JIL"VY?(i:UR/JIÄVYgUR&O?(V ¡ [hL&T=GUij?(iÇ[ZX P`:=? gh?-^cg2? GhijHMO T=JSR/^ [=HSVY?(OP`L$^dL/D$-:4$ \ 0_'KgY (( (hYi_ %_jKka b ¢ 9;:UHMV Vc:=L|fVPc:UR/Pl>?A$m:nBHSV@R O L$GZ$? g2L$JMXZN$L&GW8:=HMOl:Ç>dR»X L&^> R»X G=L/Pk[2?[2L$T=Ghij?-i9;:U?o>?f$-:iB VFR$GUi P`:=? HM^k?-ijN&?-VQ L$^`> R O ? JMJWOL&>@gUJI? :=L&Vc?KijL$> R$HIGHMVPc:=?K:=L&JI?DQ S UO R$JIJM?-i _L$^`L$G=L&HijHMR$N$^lR/>L$:HQ. 9;:= ? Q?-JMR$T=GUR»XP`^cHSR/GUN$T=JSR|P`HIL&G@L$ H HMVRKOL$>dg=JM?dijTUR$J=PcLPc:=?f_L&^cL&G=L$H=i=HMR$N$^lR/> L$HZR$GUidO R$G [2?KL$[=P`R/HMG ^cL&>HPf[ZXKabL&HIGUHIG=NdP`:=?VcHP`?-V;:=L"VY?k_L$^`L$GUL$HO?-JIJSVR/^`?KR$i»aYR&O? G"P ¡ Vc? ? 0HMN$T=^`?ko&¢ p q r p 2. 0HIN&T=^`?Fo. ÂÂVUWYXOZ\[^]. QTUR$JIHIPbX[2?Pb? ?-G _L&^cL&G=L$H ¡ OL$G"P`HIGZT=L&TUV;JIHMG=?(V`¢;R$GUi? JSR/TUGUR»X ¡ iUR$Vc:=?-i JIHMG=?(V`¢.
(23) B. Q\P^ K KLQ>OC
(24) 5/ . ; f A O
(25)
(26). CFHM$?-G H RVc?PL$;VcHIPc?-VHIG P`:=? g=JSR/G=?R$GUi R N$^`HMi*VbP`? gWPc:U? >dR$HIG g=TU^cg2L&Vc? HMVKPcTL "ZG=L| HI;Pc:=? _¡ L&^cL&G=L$HZijHSR/N&^`R$>L$ H HIJMJ"$?-? gW/R/ÄPc? ^_VcGUR/g^cL&T=GUijHMG=NFL/UHIP`V,&? ^cPcHSO?(V »HIP`V,g=^`L$g2? ^cPcHM?-¡ VL/8OL$GZ&?jHPbX ?-R&Ol: R/G=N&JI? L$Pc:=?ijHMR$N$^lR/> Vc:=L&T=JMi VbPlR»X[ R|ÄP`? ^^`L$TUGUijHMG=N"¢KR$GUi g=JSR/GUR$^cHIPbX ?-R&Ol: R/G=N&JI?L$ P`:=?ijHSR/N&^`R$> >TUVYP "$?-? g*HPlVL&^cHM? G"P`R/PcHML$G*R|ÄPc?-^q ^`L$T=GUi=HIG=NZ¢ *? HMJIJS<h^`VYPK LjOTUVKL&GROL$GZ&?jHPbX O ^cHIPc?-^cHML$GKR$GUikPc:U? GR&i=R/gjPPc:=?^c?(VYTUJPlVWHMG&P`LRgUJMR$GUR/^`HPbXkO^`HIPc? ^`HML$GWWjP`:=?O L$GUi=HP`HIL&GHMVG=L$PVcR/PcHSV <h?-i ? ;R/G"PKPcLÇO L$>dg=TjP`? Pc:=?i=HMVYP`R$GUO? [2?Pb? ?-G PbL4O L$GUVc?-O TjPcHM$?dN$^`HSig2L$HMG"P`VL$^ %* TC*
(27) ^Q :UHMOl:N&TUR/^lR/G"PbXPc:=?Fg=^`?-Vc? ^`"HMG=NL$Pc:=?(VY?Fg=^`L$g2? ^cPcHM?-V-9;:U?FO L$GUijHIPcHML$G>TUVYPij?-gh?-GUi=VL$GU¡ JIXdL$GPc:=? L&^cHMN$HMGUR$Ji=R|PlR dP`:=?O LZL$^lijHIGhR|Pc?(VKL/ghL&HIG"P`VL/ HR/GUiPc:=?PcL$g2L$JML$N&XL$Pc:=? ijHSR/N&^`R$> :=HMOl: HMV ?(\"T=HI|R$JI?-G&PPcLKP`:=? "ZG=L|JM?-ijN&?;L/Pc:U? Q?-JMR$T=GUR»XPc^`HMR$G=N$TUJMR/PcHML$Gh\¢ =/Pc:U?O^`HIPc? ^`HML$G VY:UL$T=JSidG=L/Pij? g2? GUi L&GR$G ? jg=JIHSOHIPQOL&>dg=TjP`R/PcHML$GL/Pc:=?K_L&^cL&G=L$H8&? ^cPcHSO?-V;O L"L&^`i=HIGUR/Pc?(V !" #%$ O L$?^`P ^c?(&VYg2L$'GhijHI( GUNÇ[2$??-o ^YP`HM_O ?-L$V-^`L$G=9;L&H_:=$??-R/^YP`GUHMN$O ?-JM? Vk L&* ^c>dK HMG=?-N&+*.R/'/G*AY0R/&1G=N&*2(,JI? *4BKp :U,R$R/V GUi)@&+ij? * N&^c' ?-?-*ºV(,L/*_ Pc^c:U?-??-ijVYL&Gh> R/g R/^cGUL&i T=GUPcij:Z?(TUi V i=? g2? GUi=V@L$QVY?-$? G gUR/^lR/>d?P`? ^lV P`:=?O pLZL$^lijHIGhR|Pc?(VL$Pc:=?ghL&HIG"PlV3& %' % ( g=JIThVP`:=?N$^`HMi VcHM ? L&^?=R$>@gUJI?& G L$^lij? ^ P`L > R"&?ÇVYL&>d?4VYHM>dg=JIHL<hO-R|PcHML$GhV ?ÇO R$GTUVY?*R/GL/P`:=? ^Ol:=L$HSO?L$KPc:=? ghR/^lR/>d?P`? ^lV p * O R$G [2?? jg=^c?(VcVc?-i R$VdR4 TUGUOP`HIL&G L$QPc:U? R$G=N$JM? p Pc:=? JM? G=N$Pc:UV 2=K4&5( R/Ghi K7&1 ' jPc:=?L$^`HI?-G&PlR|P`HIL&G 8 R/GUi P`:=?KghL"VYHIPcHML$G6?:9 Y; B L$P`:=?kPc^`HMR$G=N$JM? ?-&+'/( B HMGPc:=?KN&^cHSi=R/Ghi P`6 :=?KN$^`HSi VcHI-? ¡ VY?-? 0HIN&T=^c?kpZ¢< TjPfHIG L&^`ij?-^PcL "ZG=L|HIbj L$^fRdN&HI&? G N$^`HMiVYHM ? UR@N$HM$? G R/GUN$JM? >. > =. w 8. p* -. vp = ?. vA@ ,BI¥"C } . =. ij?-gh?-GUi=VL&GD@gUR$^`R$>d?Pc?-^`V. 0HMN$TU^c?kp p *. HMJMJW[h?K^`L$TUGUij?-iOL&^c^`?-OPcJMX^`? N&R$^`i=HIG=NHPlVQO L$GZ$? ZHIPbX$Z?kHIJMJ:UR»&?QP`LVYL&JI&?FPc:=?K?(\&ThR|PcHML$G p *.K q HMG Pc:U?|R/^`HMR$[=JI? 9;:=HMVQ?-\"TUR/PcHML$G HMVfPcLZLHMG"Pc^`HMO-R|Pc?R$GUi ?KHIJMJ> R "&?VYL&>d?VYHM>dg=JM$H <hO-R|P`HIL&GUVfR/Ghi L|&? ^cº?(VbP`HI> R/PcHML$GW Ã ÂWÃÄÈ.
(28)
(29) . -. @. #%$ # #%$+ # $ 4 #
(30) 1$ 1 $ 1 # $. ?P &1'3( [h?dR/G*R/G=N&JI?&R/GUiJM?PKijHMZHMij?Pc:U?@gUJMR$G=?HMG4 .L& T=C^F?:\"9 TU R&B ij[^lR/G"P`VQC ^cCL&?:>9 PcB;:=?@R/GU$i ?-^Y;P`? ?[7&;9;:=? >dL&G=L/P`L$G=HSOHIPbX L$VYGhR/g^`L$T=GUi=HIG=N ¡ Hº ?&+9 [ 9 . ?-; B [ . ?-; B¢HIGZ&L$JM$?-VPc:hR|PPc:=?;?ZP`^c?->@HIPcHM?-V'R/GUi (L$UPc:U?R$G=N$JM?VYP`R»XkHMGP`:=?VcR$>d? \"TUR&ij^lR/G"PfL/g=JSR/GU?:=? G4Pc:=?-X R$^c?K^`L$TUGUij?-iWf9;:=? ^`? L&^c?&UN$HM$?-G4R/G4R$G=N$JM?:=L"VY?? ZPc^`? >dHP`HI?(VQijL GUL/PkJIHM?@VYPc^`HSOPcJMXHMGL&g=ghL"VYHIPc?d\"TUR$i=^`R$G&PlV 2P`:=?@O L$^`^c?(VYg2L$GhijHIGUN^`L$T=GUi=?-i4R$G=N$JM?HSVFG=?-O ?-V`VcR$^cHMJM6X [ q VcTUOl: R/G R$G=N$JM? HMVi=?-OJSR/^`?-iR&V 7 * C H L&^ Pc:=?4O L$GZ$? jHPbX R$GUi G=L T=^cPc:=?-^$?-^cLH <hO-R|PcHML$GhV R/^`? GUMO? ?-:i=?- %i<9; :U?U8> H% R/?$HMKGO :U^cHIL&PcVc?-?^cHM?L$ZG4P`^c L$?->@^KOHIPcL&HMG"?-VF&?JMjHI?dHIPbVYXPc^`ijHM?(OPcVcJMO X^cHM[2HMG*?-i4L$g=[2g2? L&JML|VcmHP`?\"HMTUJIJ_R&[2ij?d^`R$OG"L$P`>dVfg=L$T=Pcg=?-JSiR/G=L$? GUJI¡ XVc? 3? L$3^0HI*N& T=C ^`?H (&¢, *?KL$[jPlR/HMG P`:ZTUVR@g=^c?(VY?-JI?(OP`HIG=N O ^cHIPc?-^cHML$G Pc:UR/P?KHMJIJWO-R/JMJg=^`?O^`HP`? ^`HIL&GHMG P`:=?Vc?-\"T=? Jº . " . . %" . . . !" . . . #$. #. '&. '&. )(. <. s. <. s. s . <. . eHSV "ZX _L$^`L$G=L&H8R$G=N$JM?-V fL&G ^`HMV"ZX_L$^`L$GUL$HR/G=N&JI?(V 0HMN$TU^c? ( VY?KL$Pc:U?K>@L&G=L/P`L$G=HSOHIPbXL$,VcGUR/g^`L$T=GUi=HIG=N *. ,+. . /0 102 " #%$ -. 9LF^c?(ijTUO?Pc:U?G"TU>[2? ^,L/2»R$^cHSR/[UJI?(VHMGP`:=?;?jg=^`?-V`VYHML$GL/=P`:=?^`L$T=GUi=?-iR$G=N$JM? *%$?HMJMJ=VYT=gUg=^c?(VcV P`:=?gUR$^`R$>d?Pc?-^`VJ?-9 Y0; B[ZXO L$GUVcHMi=? ^`HIG=N@P`:=?L$^lVbPQO-R$Vc?$=Hº ?&Pc:=?@O R$Vc?K:=HSp Ol: >dR/jHI>dHM ? p *º;s VcHM>@gUJI?K;R»X PcLO L$GUVcHSij? ^;P`:=?KL&^`VYPfO R&VY?kHSV;PcLR&VcVcT=>d?FPc:UR/PPc:=?KP`:=^`? ?Kg2L$HMG&PlV & ' ( JMHI?KHMG Pc:=? O ? G"Pc?-^kL/RN&^cHSiÇV`\"TUR/^`?@R$GUiÇPc:ZTUVk:UR»&?R> R|jHI> R$J_>@L|&?L$Pc:U? :UR/JIijHSR/N&L$GUR$JL$Rg=HIj? Jº ZL N&HI&? G og2L$HMG"P`3V & '% (O?-G&P`? ^lVL$QoT=G=HIPYVc\"TUR$^c?(VKP`:=?g=^`L$[UJI?-> HSVP`LOl:=LZL"VY? &+* '/*º% (,*L&G V`i=\"? TUg2R/? ^`GU?-i=V;V&L$? G^cPcHSPcO:=?(? Vf|VYLR/JMT=R&V?(VKP`LL/ > R|jR/HIGU>diAHM 8=? p f*º;L|9;? :U$??-N$^?-HMG=G? ^lRR/J^cHSO-V R$"ZVcXÇ?KO HML$VQGG=<hL/N$PT=L$^l[ZR|P`ZHIHIL&L&GWTU8V UPc:=[h??(O ghR/L&ThHIVYG"?KP`V P`:='HSVQR$OlGU:=i)L&HMO ( ? R$^c?kHMG L$g=g2L&VcHP`?\"TUR$ij^lR/G"PlVp R/GUi Pc:U?L&^`VYPghL"VYHIPcHML$G L$P`:=?KghL&HIG"Pl1V &1*% '/* (,*WHSVfOJM?-R$^cJMX P`:=?KL$G=? Vc:=L|GHIG 0HIN&T=^`'? BU 43. 5. 76. 0$8 #%$. 9;:U?^`L$T=GhijHIGUNL$2RghL&HIG"PO R$G[2?ZHM? ?-iR$V,RfP`^`R$GUVcJMR/PcHML$GL$hRkO?-^YPlR/HMG$?(OP`L$^ ?;HMJIJjG=L| TUVY? P`:=? R&OPP`:UR|PHIPc:dP`:=?R&VcVcT=>dgjP`HIL&GUV_L/8g=^`? ZHML$TUV_ghR/^lR/N$^lR/gU:W»Pc:=?Q$?-OPcL&^L/8Pc^lR/GhVYJSR|P`HIL&GL$8g2L$HMG"P`V & ' ( :UR»&?KPc:=?dV`R/>d?ijHM^`?-OP`HIL&G4R/GUi4Pc:=?@VcR$>d?G=L&^c> L$^`?g=^`?-O HMVc? JMX$2H &mHSVQP`^`R$GUVcJMR/Pc?-i L$ ' R/Ghi ( R/^`?KPc^lR/GhVYJSR|P`?-i L/ r + <TjPFPc:=?(VY?@odPc^lR/GhVYJSR|P`HIL&GUVQR$^c??(\"T=HI|R$JI?-G&PQ;O L$GUO ? ^`G=HIGUN Pc:=? |R$JIT=?@L/Pc:=?d^`L$T=Ghij?-iR/G=N&JI? p *_P`LPc^lR/GUVcJMR/Pc?Pc:=?dg2L$HMG&P & L/ 4 HIPc: 'R$GUi ( <=j?-iW ZHMGUO? 29 . ;:. 9 . 9 . <9 . ÂÂVUWYXOZ\[^]. =3.
(31) q. Q\P^ K KLQ>OC
(32) 5/ . > = >. v?=. v = . _]L&VcHIPcHML$GL/&1*% ' *% (,*> R|jHM>dHI-HIG=N. 0HMN$TU^c??B. p*. K 4 WhHPQ L$JMJIL|fVP`:UR|PfP`:=?> R|jHM>T=> N$^`HMi VcHI-? mVcTUOl:R$V *HMVQOL$GZ&?jHMVQN$HM$?-G [ZX P`:=? JM? G=N$Pc: *5T 4 ¡ Vc? ? 0HMN$T=^`? @/¢9L4O-R/JSOT=JSR|P`? *%? HIJMJTUVc?@Pc:=?p :U? HMN$:"P L/Pc:=?dP`^cHSR/GUN$JM? 9 . . &+'/(. . !
(33)
(34) . 0HIN&T=^c? @. . R$JMO T=JSR|PcHML$GL/,RdOL$GZ&?jHPbXO ^cHIPc?-^cHML$G. R/GUi R$G=N$JM?#" K 8%$'&( <;R$VcHMOF^`? JSR|PcHML$GhVL$P`^cHSR/G=N&JI?kN&? L$>d? Pc^`X N$HM$?. sfÄPc?-^f^c?(ijTUOPcHML$GWj?kL$[jPlR/HMG . lK 6%)+*-, ?/.0B * K 021 ) ? & r . r "XB S. ¡ r(¢ ¡ A$¢. * K 021 ) ?3"XB4$ )5*-6, ?3"XB 0617 ?8.0B. ¡ o&¢. Ã ÂWÃÄÈ.
(35) t.
(36) . PF^c?-> R/HMGUVP`L[2??jg=^`?-V`Vc?-i ?/.)B;R&VQR TUGUOP`HIL&G4L/ 2» 6 R$GUi p GUO ?R/N"R/HMGW=P`:=?^`? JSR|P`HIL&GUVfL$ P`^cHSR/GUN$JM?N&? L$>d? Pc^`XN$HM$?&ZR/ÄPc?-^021 ^c7 ?(ijTUOP`HIL&GUV ¡ p"¢ 0617 ?8.0B1K 6 r 2 )+2 * , 021 ? p ) ? B p B jL <hGUR/JMJIX&jPc:U?F> R/ZHM>TU> N$^`HSi VcHI-?kR$^c^lR/G"PcHMG=N@OL$GZ&?jHPbX L$^`L$T=Ghij?-i _L$^`L$G=L&HWijHSR/N$^lR/>HSV 6 T 4 ¡ ($¢ K 021 ) ? "`B $ )5*-, ? "`B 3.
(37) . . -. $ ,0 $1 # #%$1#% /$
(38) / . . *?fO R$JIJ=Vc? >dHIºHMG<UGUHP`?_L$^`L$G=L&HZR$G=N$JM?-VP`:=?fR/G=N&JI?(V,OL$G"PlR/HMG=HIGUNkR$GHMG<UGUHP`?ghL&HIG"P-&H% ?$,OL&>dghL"VY?(i[ZX RVY?-N$>d? G"P &+' =R/GhiR^`R»X &5( Bc_9;:=?>dL&VYPGUR/PcT=^lR/J";R»XQP`L^`L$T=GhiKPc:UHM8V "ZHIGhiL/2R/G=N&JI?(VHSVPcLVcGUR$g ^`L$TUGUiG=L$^`> R/JMJIX P`:=?Vc? N$>d?-G&P &1' HMG4R VY?-N$>d? G"P &1*2' * º2R/GUi P`L Pc^lR/GUVY L$^`>P`:=?K^`R»X &5( BHMG R ghR/^lR/JMJI?-J2^lR»X &+* ( Bc9;:=HSVO R&VY?kO R$G [2?FPc^`?-R|P`?-i JIH "$?FP`:=?kN$? GU? ^lR/JO R&VY?&"HIPc:R ? >@LjijLH <hO-R|PcHML$GhV HIPc: Pc:U?kV`R/>d?FG=L/PlR|P`HIL&GUVR&Vg=^c?-ZHIL&TUVYJMX$&Pc:U?FL$^lVYPO R&VY?kOL&GUVcHMVYP`V:=? ^`?FHIG Pc^lR/GUVcJSR|PcHMG=NPc:=?kg2L$HMG&P ' L$ 4 9;:=? ^`? L&^c?&Z?k:UR»&?P`Ld?jg=^`?-V`VPc:=?KJM? G=N$Pc: *R$VR T=GUOPcHML$G L/ 2» 6 p R/GUi " ¡ B&¢ lK 6%)+* , ? p B ¡ @/¢ * K 061 ) ? & r ? p r "XB B S sfÄPc?-^f^c?(ijTUOPcHML$GWj?kL$[jPlR/HMG ¡ q&¢ * K 021 ) ? "`B r )5*-6, ? "`B 021 7 ? p B P L$JMJML|fVWP`:UR|P,Pc:U?> R|jHM>T=> N&^cHSiVcHM ?VcTUOl:@R$VPc:=?^`L$T=GUi=?-iVc? >dHIºHMG <UGUHP`?R$G=N$JM?^`? > R/HMGUVOL&G"&? HSV 6T 4 ¡ t&¢ * K 3 ? X " B 021 ) r )+* , ?3"XB 0617 ? p B . . . . . !. " . #. $. 9 . %. &. #%. . #%#%$ # #(' </ 1 $1. * ?:UR»$?Pc:ZTUVL$[jPlR/HMGRFO^`HP`? ^`HIL&G?jg=^`?-V`Vc?-iKL&GVYL&>d?JM? G=N$Pc:@R/GUiR/G=N&JI?(VHMGP`:=?;_L$^`L$G=L&H&ijHSR/N&^`R$> *?;G=L| :UR»&?P`LF? jg=JMR$HIG:=L|P`:=?-Vc?\&ThR/G"PcHIPcHM?-V,O R$G[2?OL$>dg=T=Pc?-i ^`L$> P`:=?;L$^`HIN&HIGUR$J"iUR|P`RU»Pc:UR/P_HMV ^`L$> P`:=?KVYHIPc?(VOLZL$^lijHMGUR|P`?-VHP`:=L$T=PR$G? ZgUJIHSOHIPfOL$>dg=T=P`R|P`HIL&GL$Pc:U?F_L&^cL&G=L$H2$?-^YP`HMO ?-V-, ?kHMJIJ R&VcVcT=>d?;Pc:hR|PP`:= ? ? JSR/TUGUR»XP`^cHSR/G=N&T=JSR|PcHML$G$:=HSOl: ? GUO Ljij?-VR/JMJ=Pc:U?OL&>[=HMGUR/PcL$^`HSR/JjHMGj L$^`> R|PcHML$G L$ P`:=?@_L$^`L$G=L&¡ HijHSR/N&^`R$> 2HSV "ZG=L|GW s _L$^`L$G=L&HR$G=N$JM? p O-R/G[h?dij?-i=TUO?(i4 ^`L$>HIP`VkijTUR$J p & HMG ? JSR/TUGUR»X Vc? ??0HMN$T=^`?Ko&¢[ZX ¡ r &¢ p K q=r p & *). ÂÂVUWYXOZ\[^].
(39) r. Q\P^ K KLQ>OC
(40) 5/ ). . .& &. . &. S. & '. V& . . . p. 5. (. p&. . & . . 0HMN$TU^c?Kq. QL|?jg=^`?-V`V_L$^`L$G=L&HWi=R|PlR ^cL&> Q?-JMR$T=GUR»XiUR|P`R 5. P`^c? HSR/JSR/9;GUTUN$:=GUJM??-R»V L$XG=? ?(JMXdijN$ij?(H$Vf#BcJM*O ? T=?G=JN$PbPcXd:UHSV-V BcP`Z LR/GDGU?jiR0g=? HI^`N&?-T=V`^cV,?DP`:=qUB?Q R$&?(^c?fij N$Pc' ?:=?FJIR/?-OG=GUL$N/i?^`P`^`:U( ?-VVcghR$2;L&^cR$?KGUGUijP`i HM:=G=?6 N TU&Q? VcHI^c?-GUPcJMR$HSNOT=?-L$GUVQGUR»JIL/XX QR R$O ?-_?-JMR$L&VT=^cL&GUG=:=R»L$L&XdHVcR/?fR$G=G=^lN&R$N$JIijJM?(?$HMVTUUR/VPcGh:=L$i ? O HI^lOTU>dV`O^`HM[h?(i O HI^lOJM?-V;R/^`?k^c?(VYg2?-OPcHM$?-JIX & S R/GUi *?KL$[=P`R/HMG L$^ 2R/GUi 6 . .
(41) . . . 2 K. . 6 K. &. . . . 061 ) ?/. & B4$ 60 1 ) ? & B Y & 021 ) ? & B $ S 20 1 ) ?4V & BZ(. ¡ r$r(¢ ¡ r(A$¢. . . . 0UL$^;P`:=?K^`R&ijHMTUVL/Pc:=?O HI^lOT=> V`O^`HI[2?-iOHM^lOJM?-V-"?K:UR»&?QP`:=?K^c?-JMR/PcHML$G 2 6 DK 4 )5*- , ? p B K 4 )5*-, ?/.)B K 4 )+* , ? B ( sQg=g=JMHI?(i PcL@Pc^`HMR$G=N$JM?-VJ? Bch?
(42) BchR/GUi ? EBcZPc:UHMVN&HI&?-V U< GUR$JIJMX L&^ 2R$GUi 6 2 K. 4 ? 021 7 ?/.h&B4$. . 021 7 ? & B B Y ? 0617 ? & B4$ 0217 ?4V & BiBZ(. 6 K 4 KM? &+9 'lY 39 BL$P`:=?R/G=N&JI? p HMG Pc:=?KN&^cHSiHSVN&HI&? GP`LZL ["X "EK ? 9 Y? r YBiB ( . sPfJSR$VYP-ZP`:=?KL$^`HM? G"P`R/PcHML$G ". . ¡ r-o&¢ ¡ r p"¢ ¡ ^r ($¢ ¡ rB&¢ Ã ÂWÃÄÈ.
(43) r&r.
(44) . GhVY?-^YP`HIG=N@HMGT(@R$GUi tP`:=?k^c?-JMR/PcHML$GUVFr Ur ph2rJ(R$GUi*rBU"?kL$[jPlR/HMG <hGUR/JMJIX R@O ^cHIPc?-^cHML$GPc:UR/PfR/g=g=JMX P`L Q?-JMR$T=GUR»X P`^cHSR/G=N&T=JSR|PcHML$Gi=R|PlR@L$G=JMX$ *). . #%$. #%$ +< $ 1 # $ #%$ # $
(45) /< *?:UR»$?VY?-? GKP`:UR|PR/GR/G=N&JI?OJML&Vc?PcL q O L$T=JSi[2?-O L$>d?GUL$GO L$GZ$? kR/ÄPc?-^^`L$T=GhijHIGUNU HL"&? HSVY?&»Pc:=? ^`L$TUGUijHMG=NL$hR/GdR/GUN$JM?OJML&Vc?PcLD O-R/G@Ol:UR/G=N&?HIP`VL&^cHM? G"P`R/PcHML$GW|:UHMOl:dO R$GO R$TUVc?P`:=?;L|$? ^`JSR/g=g=HMG=NfL$ - <. . _L&^cL&G=L$H8O?-JIJSV;R/GUiPc:U?kR$g=g2?-R/^lR/GhO?QL$G=L&GVcHI>dg=JM?-Vg2L$JMXZN$L$GhV _9L@R»&L$HSidPc:=HSV-j?FR$G"PP`L "ZG=L|K N&HI&? G H R Vc?PKL/;VYHIPc?(VkHIG*P`:=?dg=JMR$G=? R/GUi RN$^`HMiVYHM ?&HI?-R&Ol:*R$G=N$JM?@ L/ P`:=? ^`L$T=GUi=?-i4_L&^cL&G=L$H i=HMR$N$^lR/>L/I HmHMJIJ "&? ?-gHIP`VKL&^cHM? G"PlR|PcHML$GWL$^kP`LL$[jPlR/HMG*R N&^cHSiVcHM ? :UHMOl: N$ThR/^lR/G"PbX Pc:=? gU^c?(VY?-^cZHMG=NL$Pc:U?@L&^cHM? G"PlR|PcHML$G9;:=HSVkg=^cL&[=JM? >[2? HMG=NVYHM>dHIJSR/^FPcLP`:=?dg=^cL&[=JM? >L/;OL&G"&?jHIPbX$8? HMJMJPc^`?-R/P;HIPf>dL$^`?[U^cHM\? UX& *?TUVc?R/N"R/HMGÇP`:=?>dL$G=L$PcL&G=HMO HPbXÇL/VYGUR$g ^cL&T=GUijHMG=N HIGL&^`i=? ^kPcLL&[jP`R$HIG*P`:=? L$JMJML|HIG=N g=^`? O ^cHIPc?-^cHML$G N$HM$?-G R/GR/GUN$JM?:=L&Vc??ZPc^`? >dHIPcHM?-VijLG=L$PJIHM?QVYPc^`HMOPcJMXHMGdPc:U?V`R/>d?f\"TUR$ij^lR/G"PL$8gUJMR$¡ G=?$ P`:=?O L$^`^c?(VYg2L$GUi=HIG=N ^`L$T=Ghij?-iR$G=N$JM? HMVG=?(O?-V`V`R/^`HIJMX q T4= 9;:U? ^`? L$^`?$Pc:=? > R/HMG O^`HP`? ^`HIL&G L$^ P`:=? g=^`?-Vc? ^`"HMG=N*L/FL$^`HI?-G&PlR|P`HIL&Gh¢HMJMJ[h?4O L$¡ >dg=TjP`?-i L$G=JMX L$^@P`:=?4R/G=N&JI?(V@:=HMOl:R/^`?HIGR*^cHSV "ZX O L$G <hN$T=^lR|P`HIL&G OL&GUO?-^cGUHIG=NPc:U?KL$^`HI?-G&PlR|P`HIL&G Vc? ?? 0HMN$T=^`?Kt&¢ . <. <. . s. s. s . <. eHMV"ZX_L$^`L$GUL$HWR/GUN$JM?-V fL&G^`HSV "ZX _L$^`L$GUL$HR/G=N&JI?(V 0HMN$TU^c?Kt VY?KL$Pc:U?K>@L&G=L/P`L$G=HSOHIPbXL$,VcGUR/g^`L$T=GUi=HIG=N QL|K&?R&VcVcT=>d?QR/N"R/HMGdPc:UR/PP`:=?Q&? ^cPcHSO?-VL/P`:=?Q_L&^cL&G=L$HUR$G=N$JM?f:UR»&?QRK> R|jHM> R/J2>@L|&?L/R$G :hR/JIijHSR/N$L&GUR/JhL/RT=G=HIPV`\"TUR/^`?$ L$>dgUR$^cHMG=NKP`LO L$GZ$? ZHIPbXdO^`HP`? ^`HIL&GW$P`:=?FL&^`VYPO-R$Vc?f^cL&T=GUijHMG=NHMV L&[jP`R$HIGU?-i HP`: i=H 8? ^`? G"PPc^lR/GhVYJSR|P`HIL&G VPc:hR/G HIGP`:=?OL&G"&?jHIPbXO R$Vc?$, HIPc:=L&TjPfJML&V`V;L/¡ N&? G=?-^`R$JIHIPbX$ HI 6 [ 2»Pc:U?@L$^lVYPkO-R$Vc?HSVkL$[jPlR/HMG=?-i[ZX Pc^lR/GUVcJSR|PcHMG=N & R/GUi (L$ r R/Ghi 'L/ Vc? ? 0HIN&T=^`? r &¢ 0HMGUR/JMJMX?KN&? P >dHM3G ? 2 Y 6 BnT 4 ¡ rJ@/¢ K 3 ? X " 021 ) B4$ )+* , ?3"XB 0617 ? p B PO R/G [2?f?(R$VcHIJMXVc:=L|G@Pc:UR/PPc:U?O R&VY?L$WVY?->@HIHIG <hG=HP`?QR/GUN$JM?-V_N&HI&?-V_? jR&OP`JIXPc:=?QV`R/>d?f? jg=^c?(VcVcHML$G L$ sPfJSR$VYP-ZP`LgUR&VcV ^`L$> P`:=?O^`HIPc? ^`HML$GL&G_L&^cL&G=L$HijHSR/N&^`R$> P`L R@O ^cHIPc?-^cHML$G L$"G Q?-JMR$T=GUR»XdP`^cHSR/Gj N&T=JSR|PcHML$G&P`:=?k:=L$JM?k?jg=^`?-V`VYHML$GhVQr =8r ph2Jr (O-R/G [h?K^`? TUVc?-iW,9;:U?L&G=JIX Ol:UR/G=N&?HSVPc:=?K? jg=^c?(VcVcHML$G *. *. 9. ). ). ÂÂVUWYXOZ\[^]. 9.
(46) r»A. Q\P^ K KLQ>OC
(47) 5/ . . . .
(48)
(49) . . 0HMN$TU^c?dr*). L$ "=jPc:UR/Pf[h?(OL&>@?(V . R/JSOT=JSR|P`HIL&G L$R/G L&^cHM? G"P`R/PcHML$GO^`HP`? ^`HIL&G "EK? &1'lY 9. , O , +. #% # $. # #%$1#% + . . ¡ r-q&¢. B%KM? 9 Y ? r Y r BiB. 9. . . ]L&HMV`VYL&G _L$^`L$GUL$Hi=HMR$N$^lR/> VR$^c?ijHMR$N$^lR/> VN&? G=?-^`R/Pc?(i[ZX RÇVc?PdL/VcHP`?-V@T=G=HI L$^`>dJIX i=HMVYPc^`HI[UTjPc?(i HMGP`:=?g=JSR/GU?$,:=HSOl:HMV^c?-JMR/PcHM$?-JIX?-JIJ;R/g=gU^cL»jHM>dR/Pc?(iÇ[ZXR/GT=GUH L&^c> ijHSVbP`^cHM[=TjP`HIL&GHIG R <UG=HIPc? VcT=^c R$O ?$ "|R/[2?4? PR/Jº &Mr J)' & t ):UR»&?VY:=L|G P`:UR|PP`:=?4g=^`L$[hR/[=HMJIHIPbX ij?-GUVcHPbX T=GUOP`HIL&GL/k^lR/GUijL&>dJIX Vc? JM?-OPc?(iR/G=N&JI? p L/fRPbXZg=HMO-R/J_L$^`L$G=L&HO? JMJHMmG Q S HSV %
(50) ? p BJK ( & )+*-, & ? p B ? )+*-, ? p B r p 021 ) ? p B Bc GgUR/^cPcHSOTUJMR$^-2HPF L$JMJML|fVf ^`L$>Pc:UHMVKijHSVYPc^`HI[=T=PcHML$GP`:UR| P 3? p q T4XB K :=HMOl:*VY:UL|fVfP`:UR|PFPc:=? O L$GZ$? jHPbX g=^`L$[UJI?->HMV;>TUOl:>@L&^c?F ^`?-\"T=?-G&PP`:UR/G Pc:U?KL$^`HI?-G&PlR|P`HIL&Gg=^`L$[=JM? > *). . - +. -. " # $ 1! +" #%$. _R$^cZ?;g2HM? G^`HMRk>@^c?-HSG"V""P`R/X@JMJMOX$L&G<U?dN$TU ^`L$R/TUPcGUHML$iGPc^`:U? R/N"P-R/^lij L$HMG=^KNFT=PcG=:=HI ?fL$^`O >L$GZ$i=? HMZVYPcHIPb^`XHI[UL&Tj^_PcHMPcL$:=GU?QVL$L/^`HI?-VYG&HIPlPcR|?(V P`HIL&R/G[2L$L$hTjP`P@:=?f7T^`L$T=L/GUi=Pc?-:=id?R/R$G=G=N&N$JIJM?(?-V V 9;:UHMV;^lR|P`HIL ijLZ?-V;GUL/PQij?-gh?-GUi=VL&GP`:=?ij? GhVYHIPbXL$^;P`:=?KGZT=>[2? ^L$P`:=?KVYHIPc?(V A #% # 1 $ #%$ GU?_L/ZPc:=?>dR$HIGKgUT=^cg2L&Vc?-VPc:UR/P?_;R/G"PP`LQR$Ol:=HM? &?,HMVWPcL:UR»&?R;R»XQPcLfij? Pc?-OPP`:=?g=^`L$[=JM? > V8P`:UR|P LjO-OT=^f:U? G^`L$T=GUi=HIG=NR_L$^`L$G=L&HWijHMR$N$^lR/>HIPc:UL$TjPkOL$>dg=T=PcHMG=NdPc:=?@ijHSR/N$^lR/> HPlVY?-Jb [ZZHIL&TUVYJMX$ P`:=HSV_R»X>TUVYP_[h?QOl:U?-R/g2? ^,P`:UR/G@P`:=?fOL&>@gUTjP`R/PcHML$G@L/2Pc:=?^`L$T=Ghij?-i@_L$^`L$GUL$HjijHSR/N$^lR/>mR$GUiPc?(VbP`HIG=N HIP`VkgUJMR$GUR/^`HPbXR$GUiO L$GZ$? jHPbX&K ? Vc:=L| Pc:hR|PR/[2L|$?@O^`HP`? ^`HIL&GO R$GÇ[2? OL$>dg=T=Pc?-iHMG*R$[hL&TjPK:UR/JI P`:=?kPcHM>d?KL/Pc:=?O L$>dg=TjPlR|PcHML$GL/Pc:U?K_L$^`L$G=L&H8i=HMR$N$^lR/>R/Ghi HIP`V;^`L$TUGUijHMG=NU + ,+. . /. . . . 8. Ã ÂWÃÄÈ.
(51) r(o.
(52) . ¨ -
(53) ! ¤
(54) , 9Äy ¥ ¨ 8© 9Äz ¤ }$y© ¤ y ¤ }$y 9 ¨ 7 0UL$^?(R$Ol:_L&^cL&G=L$HWR$G=N$JM?$Z?K:UR»$?PcL O L$>dg=TjP`? L$>dg=TjPlR|P`HIL&GL$P`:=?o@$? ^cPcHSO?(VOLZL$^lijHMGUR|P`?-V s_L$^`L$G=L&H&? ^cPc? [2? HMG=N*Pc:U? O ? G"Pc?-^dL/fP`:=?OHM^`O T=> VcO ^cHM[h?(i O HI^lOJM? L$QP`:=?OL$^`^`?-VcghL&GUijHMG=N QOL&?->@JMR$gUT=TjGUPcR»?kXP`:=Pc^`?-HSVcR/?kG=N&ghJI?-?&^c2g2HI? PkGUHMi=VkHMO ijT=>? JM<UR$G=^f?@[=["HSVYX ?(OP`P`:=L$?@^lVHIG"?(Pc\"?-TU^`R|Vc?-P`HIOL&PcGUHML$V G4 L$HSiZPbghLL&HIg2G"? Pf^`ghL$?-GUPc:Uij?HSOT=VY?-JSR/N$^k>d[=? HSG"VYP ?(OP`L$^lV k 9L . .!. . ! . :. 49GK 9 ) $ 9 Y 4; K ; $ ; . . QHM^`?-OP`HIL&G L/P`:=?KJMHIG=?? B . . 9
(55) K 9 r 9 Y ; K ; r ; 9;:=?K?-\"TUR/PcHML$GL/Pc:=?Kg2? ^`gh?-GUijHSOT=JSR/^[UHMVc?-OPcL$^HSV;oK 9 $ 2|jHP`: K r
(56) 9; Y 4 2 K 4; r 4 9 . . 0=L&^o_L$^`L$GUL$H|$?-^YP`HMO ?-V--?_G=?-?-iFPcLOL$>dg=T=Pc?B;JMHIGU??-\"TUR/PcHML$GUV- P`:UR|PHMV8P`LQV`R»X o)R$i=ijHIPcHML$GhV B@>T=JIPcHMg=JMHMO-R|PcHML$GhV Yd B ijHMZHMVcHML$GUV-r(A@R 8 ?-OP`R/PcHML$GUV- 9;:=?KOLZL$^lijHMGUR|P`?-VL/WP`:=?kHIG"P`? ^lVY?(OPcHML$G ghL&HIG"PL/PbL@JIHMG=?(V ;oK 9 $6Q2 R$GUi ;K * 9 $62 *R/^`?. N$HM$?-G [ZX . 9 K 4 4%? 2 * r %4 2 * B Y ; K 9 r . $. 4 2 4. f?-GUO?&8 L$^Pc:=?do_L&^cL&G=L$H$?-^YP`HMO ?-V ;tR$iUijHP`HIL&GUV-B>T=JIPcHMg=JMHMO-R|P`HIL&GUV !B ijHIZHSVYHML$GhV !BR 2?(O P`R/PcHML$GUV- eL$TUGUijHMG=N L/Pc:=?O L"L&^`i=HIGUR/Pc?(VP`LdPc:=?kG=?(R/^`?-VYPN$^`HMi 9;:=HSVQOL"VbPQi=? g2? GUi=VQL$G P`:=?N$^`HSiVcHM ?$ *?O R$G O L$GUVcHSij? ^P`:UR|PQPc:=HSVfHSVQR$[hL&TjPPc:=?OL&VYPQL$,R$G R$i=i=HP`HIL&G L&^fR/GHIG"P`? N$?-^N$^`HMiW L$>dgUR$^cHSVYL&GL$AFL&^cHM? G"PlR|PcHML$GPc?(VbPlV_L/okg2L$HMG&PlV ¡ P`:=?f&? ^cPcHSO?-V,L$hP`:=?QR$G=N$JM?;[h? L$^`?fR/GUidR|ÄP`? ^ ^cL&T=GUijHMG=NZ¢ sfG L$^`HM? G"P`R/PcHML$G Pc?-VYPQOL&GUVcHMVYP`V;HMGPc:=?O L$>dg=TjPlR|PcHML$GL/_R dij? Pc?-^c>dHMGUR/G"P-=Pc:UR/PfHMV;P`L VcR»X r dR$iUijHP`HIL&GUV;?Pr»A>T=JIPcHMg=JMHMO-R|PcHML$GhV L$^;Pc:U?kPbL@Pc?(VbPlV 0HMGUR/JMJIX&?O L$T=G"P@p&t*R$i=ijHIPcHML$GhV A/pÇ>T=JP`HIgUJIHSO R/PcHML$GUV-fr(AijHMZHMVcHIL&GUV-A|p R 8?-OPlR|P`HIL&GUVR$GUi B V`O R$JMR$^;^cL&T=GUijHMG=N&V- ¤ {jz 93 Q5MOEK QR/ 5AH'MOK M\KL< QO;Q\Q M*Q\C E JC ;4 Q5MOE` 7 i 4 Q5MO^ < Q\C 5. *). i 4 Q PQ># MOQ\CYK H
(57) ! /Q;/CSMO C# *YMS EKL 3*E2/S 546 8QO>
(58) Q*C <H " 4 Q MOEKLQR/ 54H MO M>QOJC>Q C* $ ( MOC K H YQE 4 Q /Q> Q\C1iJ!Q EKL OE. ÂÂVUWYXOZ\[^].
(59) r-p. Q\P^ K KLQ>OC
(60) 5/ . ¨ -
(61) ! ¤
(62) , 9Äy ¥ ¨ y ¤ }$Jz 9 y ¤ z 9 ¨ 7 0UL$^@RN$HM$?-G*_L&^cL&G=L$HR/G=N&JI?&?L&G=JIX*:UR»&?dPcLÇO L$>dg=TjP`?L$G=? L/;Pc:U?PbL4O^`HP`? ^`HIL&GUV ¡ O L$GZ$? jHPbX R$GUi L&^cHM? G"P`R/PcHML$Gh¢ *?FHIJM¡ JVbP`TUijX :=?-^c?QPc:=?kOL&>@gUJI? ZHIPbXdL/P`:=?FO ^cHIPc?-^cHML$GL/OL&GZ$?jHIPbX L&^R <UG=HIPc? R$G=N$JM?$_9;:=?kL$Pc:=?-^`VO-R$Vc?-V Vc? >dHIºHMG <UGUHP`?R/G=N&JI?(V jO^`HIPc? ^`HML$GL/L&^cHM? G"PlR|PcHML$G2¢R$^c?kVcJIHMN$:"PcJMXOl:=?(R/g2? ^( 9LR»$L&HMiPc:=?KO R$JMO T=JSR|PcHML$GL/_V`\&ThR/^`?^`LZL/P`V-Z?KHMJMJTUVY?kP`:=?k L$JMJML|HIG=N@|R/^`HMR$[=JM?-V . .. . . . 2 K ? /? . & B 4 021 7. 2& K. $ 021 7 ? & B B Y 6 & K 6 . . 4. S ? ? & B4$ 0617. K 9 ) $ ;. K 9 9 ) $ ; ; Y . . K 9 ; r ; 39. 021 7 ?4V & B B. . . 9;:U? G Pc:=?O ^cHIPc?-^cHML$G[h?(OL&>@?(V
(63) . . K 9 r ; Y . . K . . . K ,.
(64) . . 9;:hR|PHMVPcL VcR»X&=R|ÄP`? ^^`?-ijTUOPcHML$G . K. . S. $.
(65) . ,. 6 & TX? . . $m . . . 4`B. . .
(66) . S. . . 6&. . . . . . Q? GUO ?F L$^f?(R$Ol:_L&^cL&G=L$HR$G=N$JM?$j?k:UR»$?FPcL O L$>dg=TjP`? OLZL$^lijHMGUR|P`?-VL/,$?(OP`L$^. . ,. . . ,.
(67) ! " !% $#. . ¡ r-t&¢. & " '#.
(68) !. ( !. ¡ A &¢ ). 5. . 9. . K 9 r 9 Y ;. . K ; r ; . ZL4 L&^P`:=?&?-OPcL$^lV @ @ ,?OL&T=G"P r-pÇR$i=i=HP`HIL&GUVR$GUi r-p R 8?-OP`R|P`HIL&GUV- S rkR&i=ijHIPcHML$GWUA>T=JP`HIgUJIHSO R/PcHML$GUV-WrKR 8?-OP`R|P`HIL&GW Vc\"TUR$^c?(i i=HMVYP`R$GUO? pO L/P`R$G=N$?-G"P`V ¡ L$^ 2 & R/GUi 6 & ¢ qR$iUijHP`HIL&GUV-hr^B>TUJP`HIg=JMHSO R|P`HIL&GUV-"p@ijHM"HSVcHIL&GUVR$GUi pdR 8?-OP`R| PcHML$GUV- GZT=>d? ^lR|PcL&^`VQL/ )+* , ? p Bc 021 ) ? p B` )5*-, ? "`Bc 061 ) ?3"XB Qp R&i=ijHIPcHML$GUV-8q>TUJP`HIg=JMHSO R|P`HIL&GUV-2pR 8?-OP`R| PcHML$GUV- 0HMGUR/JMJMX$j?OL$TUG&PfoUrFR&i=ijHIPcHML$GUV-Uo=rF>TUJP`HIg=JMHSO R|P`HIL&GUV-YBdijHIZHSVYHML$GhVR/GUi A%(@R 8?-OP`R/PcHML$GUV- . 3. . . .
(69) . . . . Ã ÂWÃÄÈ.
(70) rJ(.
(71) . ! ¨ w{ !;} ¨
(72) - ! ¤
(73) , 9Äy ¥¨ y ¤ }$zJ9 y ¤ z9 ¨ 7 § 9Äy y ¤ -z ¤&¦ }/z9Äy ¤ zJ9 ¨ 7 Pc:=?QO L$G<hN$T=^lR|P`HIL&GL$R ? JSR/TUGUR»XR$G=N$JM?HIG ^`?-Vcg2?-OPHIPc:dP`:=?fg=JSR/GU?Q\"TUR$ij^lR/G"PlV /?:UR»&? P`LVYL&^YPkJI? jHMO L$N$^lR/gU:=HMO-R/JMJIXP`:=?o$? ^cPcHSO?(VFL/P`:=?R/GUN$JM?$:=HSOl:OL&VYP`V'B Pc?(VbPlVkHIG*P`:=? L&^`VYPKO R$Vc?$ <TjP;VYL&^YP`HIGUNKPc:=?ko&? ^cPcHSO?(VL/R Q ?-JMR$T=GUR»X R$O ?R/JMJML|fV_PcLPc^`?-R/PoR$G=N$JM?-V-9;:U?>d?-R$GOL&>dg=JI? jHPbX L$P`:=?Kg=^`?O^`HP`? ^`HIL&GHSVPc:ZTUVQAPc?(VbPlV; L$^fR$GR$G=N$JM?$ *?Q:UR»&?VY?-? G HMGo=®APc:UR/PPc:=?Qg=^c? O ^cHIPc?-^cHML$G@? JMHM>@HMGUR/Pc?-i R$[hL&TjPI4TFL/8Pc:U?Q ?-JMR$T=GUR»XPc^`HMR$G=N$Tj JSR|P`HIL&GR/G=N&JI?(V ,9;:=?-^c? L$^`?$$HIPc:AFPc?(VbPlV_ L$^?-R&Ol:R/G=N&JI?&/Pc:U?Q> R/HMGO^`HIPc? ^`HML$G OL&>@gUJI? ZHIPbX@HMV^c?(ijTUO? L$ 4T HIG>d?-R/G Q? GUO ?P`:=?>d?(R/GÇO L$>dg=JM?jHPbX L&^?(R$Ol: ? JSR/T=GUR»XR$G=N$JM?HSVR$[hL&TjP F AdPc?(VbPlV ,r R&i=ijHIPcHML$GUV-r @>T=JP`HIgUJIHSO R/PcHML$GUV-UA@ijHIZHSVYHML$GhVR/GUiq R 8?-OP`R|P`HIL&GUV- ¤ {jz 93 Q EQ M\* 5 Q>* MO K C> Q C\QO=/S 5484 Q %M YK o4 Q > % %Q>J /Q QOM /
(74) %KLQ*C 93 7 C /1H /QJ PJQ %QE!Q MOE* C\8/S 54 ` C*
(75) 4 Q EQ. . . 9L?Z" G=L|. . . . ). ;5. *). M>* 5 Q\* l93 Q E%M MOK:Q\C*K CC </4 7 4 Q3MOE` 7 iD4 3 Q M\* 5 Q>* 684 Q Q\KL<H * K 7 2 "&Q\C`%K ;!Q; Q' 4 Q'MOE` 7 TG!Q : 5 C\Q>K 3O 4 QF *
(76) %KL< . . + 76. . < / %# $ #%$. ;9 :U?HM>dg=JM? >d? G"P`R/PcHML$G L/Pc:=?O^`HIPc? ^`HML$G R$JIJML|?-iTUV@P`L >dR%"$? VYL&>d? VYP`R/PcHSVbP`HMO-V@L$G HPlVd?\#OHM? GUO X$ 9;:U?O^`HIPc? ^`HML$GHSV;RVcT#OHM? G"P[=T=P;GUL$GG=?(O?(VcV`R/^`X@O L$GUi=HP`HIL&GW,GUij? ?(ijR$V`VYTU>@HMG=N@R> R|jHM>dR$Jh>dL|&? L$f:UR/JIQR4gUHj? J;ijT=^`HMG=NÇ^`L$T=GhijHIGUNU_OJM?-R$^cJMXTUGUij? ^@?-VYPcHM> R|P`?Pc:U? N&^cHSiVYHM ? G=? ?(ij?-i L$^dR4OL&^c^`?-OP ^`L$TUGUijHMG=NU,9;:=?KO^`HP`? ^`HIL&G ij? Pc?(OPfR$V;^`HMV "ZX VYL&>@?KR$G=N$JM?-VPc:UR/PfijLdG=L/PfO^`?-R/Pc?Fg=^`L$[=JM? > V:=? G Pc:U? X R$^c?FVYGhR/g^cL&T=GUij?(i_9;:=?F L$JMJIL|HMG=NN&^`R$g=:UVVY:UL| Pc:=?KO L$^`^c?(VYg2L$GUi=? GUO ?Q[2?Pb? ? G Pc:U?P`:=?KO^`HP`? ^`HIL&G R$GUiPc:=?R&OPcThR/J^`L$T=GUi=HIG=Nh A GZT=>[h?-^fL/,R/G=N&JI?(VVY?-JI?(OP`?-i ["XPc:=?O ^cHIPc?-^cHML$G r^( *x 9Äy ¤ x r )). ). *)). ( ). ÂÂVUWYXOZ\[^]. GZT=>[h?-^fL/G=L$G OL&GZ$?R/G=N&JI?(VR/ÄPc?-^^cL&T=GUijHMG=N VcHIPc?-Vi=? GUVcHPbX =®A = p = B = q r 0HIN&T=^`?@r&r L$>dgUR$^cHSVcL$GL$P`:=?O^`HP`? ^`HIL&G HIPc:P`:=?R$OPcTUR$J^cL&T=GUijHMG=N ). ). ). ). ).
(77) r^B . + . Q\P^ K KLQ>OC
(78) 5/ . %. . . !. sVkij?-V`O^`HI[2?-i4HIG Z?-OPcHML$G*A=2Pc:=?dO^`HP`? ^`HIL&G4O R$GÇ[2?TUVc?-iPcL O? ^cPcHI X Pc:hR|PFPc:=?dVYGhR/g4^`L$T=GhijHIGUNHMJIJ gU^c?(VY?-^c&?g=JSR/GUR$^cHIPbX4R/GhiÇOL&GZ$?jHIPbXL$^FPcLij? Pc?-^c>dHMG=? R Vc> R/JMJ_? G=L&T=N$:N$^`HMiVYHM ?@PcL ?-GUVYTU^c?Pc:=?(VY? gU^cL&gh?-^YP`HI?(V 9;:U?KHIG"Pc?-^c?(VbPfL$P`:=?O ^cHIPc?-^cHML$GHMVPcL N$HM$?i=HI^`?-OPcJMX RdN$^`HSi VcHI-?K^c?-JMR/PcHM$?-JIXO JIL"VY?FP`L Pc:=? > R/ZHM> R/JVcHM ?$_R$GUiPc:ZTUVR»&L$HSiPcLP`?-VYPVYXjVYPc?->dR/PcHSO R$JIJMX4P`:=?^`L$T=GUi=HIG=NÇL/Pc:=? _L$^`L$G=L&HijHSR/N$^lR/> HIPc:ijH 8? ^`? G"PN$^`HMiVYHM ?(¡ V T=^?jg2? ^`HI>d?-G&PlV VY?-F? 0HMN$T=^`? r(o&¢Vc:=L|fVPc:=?*>d?-R/G»R$JITU? ¡ L&^r ? jgh?-^cHM? GUO ?-Vl¢ L$Pc:=? > VcHIPcR/?-ZVHM> i=HMR/VYPcJ2^`N$HI[U^`HMTjiPcHMVYL$HM GW?F R/JMJIL|?-i [ZX@Pc:U?kAO^`HP`? ^`HIL&GUV ¡ OL&G"&?jHIPbX@R$GUig=JSR/GhR/^`HPbX=¢ZR$VR T=GUOP`HIL&GL$WPc:=? -
(79) f, \ :U? G P`:=?N&^cHSi VcHI-? O-R/G=G=L$P[2?Ol:=L"VY?-G R$O-OL$^lijHMG=NP`L4Pc:U?ijHSVYPc^`HI[=T=PcHML$G L$Pc:=? VYHIPc?(V ,P`:=? VcGUR$g ^`L$TUGUijHMG=N*O-R/GO^`?-R/Pc? [UR$i R/GUN$JM?-V-9L g=^`?-Vc? ^`$?P`:=? T=GUiUR/>d? G"P`R$Jfg=^`L$g2? ^cPcHM?-V@L/FPc:U?_L&^cL&G=L$H [Ui=HMTjR$PN$HM^lG R/> Pc:U$?O?f?-G"PcHM? JIJ2^:UL/R»$RK?;g=P`HILj? >dJ2L|HIGd$?P`:=VYL&? >@YG=?Q?-$HIN&? :"^cPc[2HSL$O?(^`:=V_LZG=LjL$i PHMG L/8PcPc:=:=?F?O$?-?-G&^YP`P`? ?^ L/¡ PcPc:U:UHMV?QG=g=L/HIjP`? HIL&J2G L/:=HMOlG=: ?-HION&L$:"G"[2PlL$R/^`HMGU:=V_LZLjHIP-i ^`? > R$HIGUV PcL[2?ij>? <UG=?(¢ 9;:=?4> R/HMGijLH # O T=JIPbX O L$>d?-Vd ^`L$> Pc:=?R$i»aYR&O? GhOX ^`? JSR|P`HIL&GUV [2?Pb? ?-G R$G=N$JM?-V- GUij?-?-if>dL|ZHMG=N R&? ^cPc? HIGL$^lij? ^ P`L O ¡ L$GZ$? ZHI X R N$HM$? GR$G=N$JM?$fO-R/G N&? G=?-^`R/Pc?G=L&G O L$GZ$? R/G=N&JI?(VHMGP`:=?KG=?-HIN&:"[2L$^`:=LZLji L/Pc:=HSVR/GUN$JM? ?(R$Ol:_L$^`L$G=L&Hh&? ^cPc? [h?-JIL&G=N&VPcLdt@R/G=N&JI?(VL$ P`:=?ijHSR/N&^`R$> ¢ *?ij\? <hG=?K[=^`HI>? UXR@^cL&T=GUijHMG=Nd:=?-T=^cHSVYPcHSOHMGPc:=?k L&JIJML|HMG=NdR»X Pc:=?Ol:UL$HSO?kL/,R VY? P;L$g2L$HMG"P`VO-R/GUijHSi=R/Pc?-V L&^;Pc:=?K^`L$TUGUijHMG=NdL/R@N&HI&? G$? ^cPc? Pc:=?Ol:UL$HSO?kL/,R OL&VYP; T=GUOPcHML$G :=HSOl: N&HI&?-VPc:U?K[h?(VbPQO-R/GUijHSi=R/Pc? ¡ HMGR;R»X=¢L/P`:=?Vc?P- ¤ 7:9Ä^y 9 ¨ 7 Q MOK K Q>*Q>K!E K H>
(80) JCOC>^M\ < QO8 F 5PQ\# QR !Q MOYPQR EK H>
(81) # QO CJ4 Q Q\OC>QOM C>QOQ $ %Q
(82) I 93 Q *
(83) %KLQ> Y !Q QR Q> 5 Q\C J4 Q
(84) %KLQ\C M
(85) C *EQR" 93 Q @ /QO>
(86) Q\C %Q QO2#H4 Q5E QO /Q\C? M> %Q> !Q Q> $ 7 OC sVfVc:=L|G HMTG 0HIN&T=^c?dr»AjZPc:U?? "$? ^`G=?-JghL&JIXZN$L&G L$Rd&? ^cPc? HMVP`:=?Vc?PL/,g2L$HMG&PlV:=?-^c? O-R/G [h? >dL|&?-igU^c?(VY?-^cZHMG=NP`:=?OL&G"&?jHIPbXdR$GUiPc:=?Kg2L&VcHP`HI&?kL$^`HI?-G&PlR|P`HIL&GL/,R/GZXR/GUN$JM?HMGZ$L$JMZHIGUN =:=?-G P`:=?QL$Pc:=?-^`V$?-^YP`HMO ?-VR$^c? <UZ?(i_sijHSR/N&^`R$> :UR&V_P`:=?Qg=^`L$g2? ^cPcHM?-VL/WOL&GZ$?jHIPbXR$GUi g=JSR/GUR$^cHIPbXHIR/Ghi L&G=JMXH_R/GZX&? ^cPc? [h?-JIL&G=N&VP`L HPl1V "$? ^`G=?-JghL&JIXZN$L&GW P`:=?VcGUR/g ^`L$TUGUijHMG=NL/8P`:=?Q_L&^cL&G=L$HUi=HMR$N$^lR/> L$! H HSVG=L$POL&GZ$?dR/GUidgUJMR$GUR/^(/P`:=?f L&JIJML|HIGUN :U? T=^`HMVYPcHSOkO R$G [2?KTUVc?-i 3. ) ).
(87) &. . . ,(. . . . . . Ã ÂWÃÄÈ.
(88) r@.
(89) . . ¤ z7 ¤ !. y z9 {Y7:; ! ¤ . §¤ ©:; ¤. . 0HMN$T=^`?r»A k? ^`G=?-JghL&JIXZN$L&G L$R@_L$^`L$GUL$H$?-^YP`? . ¡ _L$^`L$G=L&HijHMR$N$^lR/>HMGOL$G"P`HIGZT=L&TUV;JIHMG=?»¢. v! ; ¨ z9Äy %QO6 ¡ U¢ r& _L$^`L$G=L&H8i=HMR$N$^lR/>¡ L/:H A= ZGUR/g^`L$T=GUi=HIG=N
(90) @¢ oU § :©9 ! ¤ G=L$Pfg=JMR$GUR/^R$GUi OL$GZ&? ph ¨ (= s &? ^cPc? L/ HMG"&L$JM$?(iHMG R@[UR&i R/G=N&JI? BU m? B "$? ^`G=?-JL/ HI G
(91) @j * sN$^`HSig2L$HMG"PfHIGUVcHSij?m? B ¡ H,HPf? jHMVYP`Vl¢ qU. LjijH X [ZX>dL|ZHMG=N PcL * tU ^c? PcT=^` G
(92) sPP`:=HSVg2L$HMG&P(Pc:=HSVR$JIN&L$^`HP`:=> HSV G=L/P X$?PO L$>dg=JM?P`? JMX OJM?-R$^-?G=? ?(i PcL6"ZG=L|:=L| HMV Ol:UL&Vc? G R/>dL&G=N4P`:=?[UR&i &? ^cPcHSO?-VR/GUi :=L| *HSVOl:UL&Vc? G R$>@L&G=NP`:=? N&^cHSig2L$HMG"P`VHIGUVcHSij?? Bc 0UT=^cPc:=?-^c>dL$^`?$HIG O-R$Vc? L/ R/HMJITU^c?&P`:=?R/JMN$L&^cHIPc:U>R$VKgU^c?(VY?-G&P`?-i R/[2L|$?&W R$HIJHIG R$G*HMG<UGUHP`?JILZL&g HMGUVYPc?(R$i L/,? GUijHMG=NdHIPc:RdOJM?-R/^fVYP`R/PcTUV- 9 z»x-y 9 -
(93) ! ¤ ¤ 72y-{j^y 9 ¨ 7 s <U^`VYP_VYHM>dg=JI?;R/gUg=^cL"R$Ol:FPcLkOl:=LZL&Vc? HSVP`LThVY?R/JMJ"[hR$iR$G=N$JM?-VHIGPcT=^`GW 9;:U?FR$gh? L/WP`:=?KR/G=N&JI?HMVP`^cHM?-i <U^`VYP-"P`:=? GHHPlIV "$? ^`G=?-J8O L$G"P`R$HIGhVG=L@N$^`HSi ghL&HIG"PlVPc:=?F?ZPc^`? >dHIPcHM?-V L$;Pc:=?R/G=N&JI?R$^c? P`^cHM?-iW49;:=?g=^`L$[=JM? > L/;P`:=? Ol:=L&HMO ?L/ *O-R/G[2? VcL$JM$?(i?(R$VcHIJMX*["XP`%R "ZHIG=N * P`:=?KN$^`HSig2L$HMG&PfL$ ? BG=?-R$^c?(VbPPcL _ L&^RN&HI&? G R/G=N&JI?&jG=L$GU?FL$P`:=?kPc:=^`? ?k&? ^cPcHSO?-VHMGZ$L$JM$?(i 3. . 3. . . . . . . :. . . . . . . . . ÂÂVUWYXOZ\[^]. . .
(94) r(q. Q\P^ K KLQ>OC
(95) 5/ . O-R/G*[h? >dL|&?-iHIGUVcHSij? HPlV?"$?-^cGU? JºPc:=?-G ? ?-GUi*HP`: R R$HIJMT=^`?VbPlR|PcThV s ^`L$T=GhijHIGUNgU^c?(VY?-^cZHMG=N O L$GZ$? jHPbXR$GUigUJMR$GUR/^`HPbX :hR$V;G=L$Pf[h?-? G L$T=Ghi ZThOl: R/GR$g=g=^`L&R&Ol: L&^ "jV_? JMJhHMGg=^lR$OPcHSO?&P`:=?kij? GUVcHIPbX@L$WghL&HIG"PlVHSVGUL/PP`L:=HMN$:&P`:=? GPc:=? [hR$iR/G=N&JI?(VR$^c?kVYghR/^lVY?FHIG Pc:U?ijHMR$N$^lR/>R/GhiP`:=?kL$^lij? ^;TUVc?-iPcLd?=R$>@HMG=?Pc:=?-> :UR&VG=LdHIG hT=? GUO ?$ _?-^cX L$ÄPc?-G m? B_OL&G"P`R/HMGUVN$^`HSi ghL&HIG"PlV Z>dL$^`?gU^c?(OHSVY?-JIX&"\"T=HIPc?kL/ÄP`? GR|P;JI?(R$VYPL&G=?QL$Pc:U?&? ^cPcHSO?-V L$P`:=?@Pc^`HMR$G=N$JM?ThVY?(i4HMGÇP`:=? "$?-^cG=?-Ji=\? <UG=HIPcHML$GV`R»X [2? JML$G=N"VQP` L m? B=^cL&T=GUijHMG=N PcL :UR$V P`:=?K? 8?-OPfL/,OL$G"P`^`R&OPcHMG=NPc:=?K?(ijN$? R/GUi HMGUO^`?-R&VY?( VP`:=?ij?-N$^`? ?kL/Pc:=?K^`?-VcT=JIPcHMG=Nd$? ^cPc? 9;:=HSVR$JIN&L$^`HP`:=> :UR$V,[2? ?-GHM>dg=JM? >d? G"Pc?(idR/GUiN$HM$?(V,$? ^`XKN$LZLji^`?-VcT=JIP`V_VcHIGhO?;HIG@P`:=?L&^`VYP_O R$Vc?$ HIPO L$^`^c?(OP`VR$JIJPc:=?[UR$i R/GUN$JM?-V[=T=PJM?-V`V;Pc:UR$
(96) G ( ¡ L/Pc:U? > 9;:=?JSR$VYPfPc:=^`? ?KJMHMG=?-VQL/ <UN$TU^c? r(o O L$^`^c?(VYg2L$GhiP`Li=R/P`RO L$>dHIGUN ^cL&>R CF i=R|PlR/[UR&VY? ^lR» i=R/P`R HMGP`:=? <U^lVYPQJIHMG=?&8i=HIJSR|P`?-ii=R/P`R L&G TURÇG=VcHO- L&R/^cJM?> L/ijHMVYA/Pcp4^`HM[=[=TjHIP`PcVHML$HIG G"PcL$?-N$?-g2^`L$VHMG&HIGPlV P`:=?GU?ZPPbL4JMHIG=?(V`¢_:=HMJI?Pc:=?L/P`:=? ^lVJMHIGU?-VO L$^`^c?(VYg2L$Ghi*PcLÇR$G ¤ 7 ¤ z»{ ! 9${=y 9 ¨ 7x + 8© ; ¤ } ¨ 72y z|{=}$y 9 ¨ 7 . sVG=L$PcHSO?-iR$[hL|&?$Pc:=?R$JIN&L$^`HP`:=> VYPcHMJIJ:UR»$?R [UHP R ^`? ?-i=L$> PcL Ol:=LZL&Vc? R/GUi *º *? ¡ <U^`VYPO R$GÇ^`? > R/^ "Pc:U¡R/PFP`:=?dg=^`L$[=JM? > VTUVYThR/JMJIX4O L$>d?-V ^`L$> R$G HMG=HIPcHSR/JR/G=N&JI?k:=HSOl: HMVO JIL"VY?FPcL OL$GZ&?jHPbX=¢L$^;P`@L L$^`HM? G"P`R/PcHML$Gh¢jL$^; ^`L$> R$G HMG=HIPcHSR/JW?(ijN$? :UL&Vc?FJM? GUN/Pc: HSVfVc>dR$JIJº]^cL&[=JI?-> Vq O^`?-R|P`?-i[ZX Vc> R/JMJ?-ijN&?-VfO-R/G [h?VcL$JM$?(i[ZX g=^cL&>dL/PcHMG=Nd$?-^YP`? >d?-^cN&HIG=Nh|H m? BWOL&G"P`R/HMGUV $RFG=?-HIN&:Z[hL&^L$ OJML&Vc?PcL $Pc:=?-G?O-R/G@Ol:=LZL&Vc? R$VG=?- g2L&VcHP`HIL&G L&^ 9;:UHMVOl:=L&HMO ?k^c?(VYT=JIPHIG P`:=?OL&G&P`^`R&OP`HIL&GL/,?-i=N$? GK¤ z»y
(97) ¤ , z ¨ :7:© 9 7 ; -z ¨ -{ ;h{=y 9 ¨ 7 ZHMGUO ?;Pc:=?fijLH #OT=JIPbX> R»XO L$>d?-V ^`L$> Pc:=?g=^`L$ghR/N&R/PcHML$GL$ P`:=?[UR&i R/G=N&JI?(V jHIPQL$T=JSi[h?HMG"Pc?-^c?(VbP`HIG=N@P`L Pc^`XP`LijHI^`?-OPPc:=HSVfgU^cL&gUR/N"R|PcHML$GR/JML$G=N R O ? G"Pc^`H TUN&R/J R/jHMV-&Hº ?$,HIGijHM^c?(OPcHML$GL/WP`:=?FO L$GZ$? @:ZT=JMJ2L/WP`:=?HMG=HIPcHSR/J8VYHIPc?(V ,GUi=? ?-iWZPc:=?kVY?->dHHIG <UG=HIPc?Q_L&^cL&G=L$H R$G=N$JM?-VR/^`?QJM?-V`V;OL&GUVbP`^`R$HIGUHIG=NPc:UR$GP`:=? <UG=HIPc?kL$G=?(VVcHMGUO?Pc:=?-XOL&G"P`R/HMGR$GHMG <UG=HIPc?kg2L$HMG&P(_GgUR$^Y P`HMO T=JSR/^(&P`:=? "$? ^`G=?-Jhg2L$JMXZN$L$G Q L$^R/G¡ HMG <UG=HIPc?k$?-^YP`?HSVR/GR/G=N&T=JMR$^VY?(OPcL&^-"P`:=? ^`? L&^c?FHPfO L$G"P`R$HIGUV R$G HMG<UGUHP`?KG"TU>[2? ^fL$N$^`HSig2L$HMG"P`V Vc? ? 0HMN$T=^`?dr pZ¢ - *?d:UR»$?g=^`?-Vc? G"Pc?(i4VY?-$?-^`R$J^`?-VcT=JIP`VkR/[2L$TjPFPc:U?@^`L$TUGUijHMG=NL$R_L&^cL&G=L$H,ijHSR/N&^`R$>gU^c?(VY¡?-^cZHMG=NHIP`V gUJMR$GUR/^`HPbXR/GUiPc:=?@OL$GZ&?jHPbX L/HIP`VFO?-JIJSV 9;:=? <U^lVYPHSij?-RO L$GUVcHSVbPlVfHMGÇVYGhR/g4^`L$T=GhijHIGUN ^`L$T=GhijHIGUN P`L@Pc:=?kG=?(R/^`?-VYPN&^cHSig2L$HMG"Pl¢R/JMJ8Pc:=?k&? ^cPcHSO?-VL$Pc:U?ki=HMR$N$^lR/> *?k:UR»$?F?-VYP`R$[=JMHMVc:=?-iR^c?(R$VcL$GUR$[=JIX Ol:U?-R/gOL$GhijHP`HIL&GÇ:=HSOl:Ç?-GUVcT=^c?Pc:UR/PP`:=?dVYGUR$gÇ^`L$T=GhijHIGUNg=^`?-Vc? ^`$?(VPc:U?-Vc?g=^`L$g2? ^cPcHM?-V-k ?@:UR»&? VYPcThijHI?(i@?jgh?-^cHM>d? G"P`R$JIJMXKP`:=?\? #OHM? GhOXL$hP`:=?fVcGUR/g@^cL&T=GUijHMG=NKR/GhiP`:=?;PcHMN$:"P`G=?-V`V,L/8L$T=^O L$GUi=HP`HIL&G L&G ^lR/GhijL$>_L&^cL&G=L$HijHSR/N&^`R$> *?:hR»$?QgU^cL&ghL"VY?(iR/G:U? T=^`HMVYPcHSOFR/JMN$L$^`HIPc:=> ":=HMOl: > R»X@^`L$TUGUidPc:U?_L&^cL&G=L$Hh$? ^cPcHSO?(V TU^YP`:=? ^ R»;R»X@HIGPc:=?FN$^`HMiW":UHIJM?gU^c?(VY?-^cZHMG=NKPc:U?Fij?(VYHM^`?-i g=^`L$g2? ^cPcHM?-V-_9;:=HSVR$JIN&L$^`HP`:=> L&^ "jV&? ^`Xd?-JIJ8HMG gU^`R&O *PcHS?O?K:hR&R»$V?HIPfgUHS^cVfL|VY&:U? L|G PcG :hR|[ZP-XHML>=^P`:=??jg2? L$^`^lHI>dVYPF? O G"R&PlVYR/?&Jh^`HI?-PKVcT=HMVJPlHMV >@ g2L&V`VcHI[=JM?PcLgU^c?(VY?-^c&?g=JSR/GUR$^cHIPbXR$GUiÇO L$Gj &?jHIPbXR/Ghi*PcL4N&TUR/^lR/G"Pc?-? R <=j?-i [2L$T=GUi L&G Pc:=?ijHSVbPlR/GUO ? [h? Pb?-? G R&? ^cPc? R/GUi*HIP`V^cL&T=GUij?(i &? ^lVYHML$Gf9;:=HMVgUR$gh?-^g=^`L|$?kP`:UR|P(8HP`:Ç^`?-R$VcL$GhR/[=JM?K:ZX"g2L/P`:=?-Vc?-VQL$GP`:=?iUR|P`R ijHSVbP`^cHM[=TjP`HIL&GW2VcGUR$g ^`L$TUGUijHMG=N@R$GUiVYL&>@?k:=?-T=^`HMVYPcHSOFHIJMJWR$OPcTUR$JIJMXVcTUO O ? ?-iPcLd^`L$T=GhiP`:=?k_L$^`L$G=L&H8i=HMR$N$^lR/>HIPc: N$LZLji gU^cL&[UR/[=HMJMHPbX& 3. . . . . 3. . . . . 3. . . . Ã ÂWÃÄÈ.
(98) r(t.
(99) . QT=>[2? ^ ZHSij? 9L/PlR/J eHSV "ZX eHSV "ZX R|jHM>T=> <;R&i R$G=N$JM?-V <;R&i R$G=N$JM?-V L/ L$P`:=? G"TU>[2? ^ R/G=N&JI?(V L&^ R$G=N$JM?-V L&^ N&^cHSi VcHM ? L$^fR&OPcThR/J /R ÄPc? ^ ghL&HIG"P`V Vc\"TUR$^c? L$R/GUN$JM?-V gU^c? O ^cHIPc?-^cHML$GUV O^`HP`? ^`HIL&GUV ^cL&T=GUijHMG=N :=?-=T ^cHSVYPcHSO r r (/t$q A|p&t( G<UG=HIPbX r r (%B&A/@ A=r-o=r/A/(%( r&r$r(tZr $?-^cXVc> R/JMJ q/Bjr r r ($t$o
(100) @ A=r-q
(101) @/A $q p&q/p/A o=Mr ? &o o @ r r ($t$o$t A=r-q/p/A /p ($A o= /? "A ( r r ($t$o$t A=r-q/(/A %B ( Aj @»? Ur r r r ($t/p A=r-q%B/A %B r A= @|? r r B A|p&t»p"t G<UG=HIPbX r r o
(102) @B$o/B r p"q$q
(103) (/A$o$o&t q/p/B $?-^cXVc> R/JMJ tZr r r (/t
(104) (/t$p Ajr(t=r-p/A /( r$r(o&A
(105) @|oUr $?-^cXVc> R/JMJ q=r^B$A r r r (/t&t=r(q Ajr(t=r(tZr(t/p
(106) B r@/A%BB @Z o/? $p r p"o r r (/t&t&A&A Ajr(t=r-pZr(t/p rJ@ Zr q=Mr ? &o r^B r r (/t&t&A=r Ajr(t&A Zr(t/p
(107) B r-q @Z q/? "A A r r B A|p
(108) (»p ( G<UG=HIPbX r r (/t&t$q&t A%( =r-p( =r(q G<UG=HIPbX r r (/@ /B&A$o Ajr p"o$o"A/A/pUr»A|p r$rJ(%($t&A/q$q $?-^cXVc> R/JMJ q&q&A$o%@/o A/( r r (/t$t
(109) (B/B Ajr-tUr &oZr(t&A/p&q (jr "AZr^B/p $?-^cXVc> R/JMJ o$t$p B p r r (/t$t&t $p Ajr-tUr^(&AZr(t=r(q/p (%B=r-t/A=r r$ o/? $p p&q&t r r (/t$t&q$t&o Ajr-t /p"tZr(t &q/( (|p /A Aj t/? &o (=r r r B A|p$p»p&p G<UG=HIPbX r r B A|p"t/($t»p"t/($t G<UG=HIPbX r r o @|t $q%B/B r-p&t @Zr-t$p$A/o$o
(110) (/@|A @/q=r^(=r $?-^cXVc> R/JMJ o%B&q/A
(111) @ r r r ($t%B&t
(112) @(
(113) @ A=r-q&t $t @jr-t$tUrJ@»q r&r p"t&A/@/o/o=rB $?-^cXVc> R/JMJ q$o"A/o$o/A=r-o r(o$t r r ($t$t&t/(/t&q A=r-t %B&A%Bjr-t @B rJ@%(/t$q&qB&A $?-^cXVc> R/JMJ r-p/B%B$pjr p p r r ($t$t&t$q$q&o A=r-t =r p"ojr-t Ur-q$A rJ@/o$o/BB/B @Z B/?
(114) ( r p"q$tjr r»A $t @|o (/q $t$o @/A%(
(115) @/A
(116) @ o /p"t UrB"A/t&t&A @B
(117) (B$p|q
(118) (/t $?-^cXVc> R/JMJ q/B%B&t|o&q r-p r»A $t @|o r$r^B=r-q/B @/A%(
(119) @/A
(120) @ o /p"t UrB"A/t&t&A p/B=r»p r$Mr ? &o (&A t %B$o$p @ r$r^B$t$q/B (/p&o @|t &q A /(%B=rJ@$A$A|p&o
(121) (/oB A$q =r%@/o $?-^cXVc> R/JMJ r^(/( 0HMN$T=^`?dr-o ,9R/[UJI?kL/^c?(VYTUJPlV L&JITU>@GhVL/^cHSV "ZXL&^;[UR$i R/GUN$JM?-VN$HM$?GZT=>[h?-^L/_R/G=N&JI?(V L$^QO L$GZ$? ZHIPbX L$^g=JSR/GhR/^`HPbX *. 3. :. *)) ). *). *)) ). ) ). *)) ). *)) ). ). *)) ). *)) ) ). ). *)) ). ) )) ) ). ). ). *)) ). ) ) )) )). ). ). ). ) )) ). *). ) ). ) )) ). ) ). ) )) ). *)) ). ) )) ). *)) ) ). ) )) ). ) )) ) ). ) )) ). ) ) )) )). ) ) )) ). *). ) ) )) ). ) ). ) ) )) ). *)) ). ) ) )) ). *)) ) ). ). ). ). ). ).
(122) ). ). ). ). ).
(123) ). ). ). ). ). ). ). ). ). ). ). ). ). ). ). ). ). ). ). ). ). ). ). ). ). ).
(124) ). ). ). ). ). ). ). ). ). ). ). ). ). ). ). ). ). ). ). ) ). ).
(125) ). ).
(126) ). ). ). *). ) ). ). ) )) ) ). ) ) )) ). ) ) )) )). *)) ) )) ). *). ) ). ). ). ). *)) ) )) ). ) ). )) )). ). ). ). *)) ) )) ). *)) ). *)) ) )) ). *)) ) ). ). ). ). ). ). ). ) )) ) ). ). ). ) ) )) )). ). ). ). ). ÂÂVUWYXOZ\[^].
(127) ). ). ). ).
(128) ). ). ). ). ). ). ). ). ). ). )). ). ). ). ). *)) ) )) ). )). ). ). *)) ) )) ). ). ). ). ) ) )) ). ). ). ).
(129) ). ) ). ). ). ). ). ). ). ). ). ). ). ). ). ).
(130) ). ). ). ). ). ). ). ). ).
(131) ). ). ).
(132) A. Q\P^ K KLQ>OC
(133) 5/ ). . . 0HIN&T=^`?@r-p k? ^`G=?-JghL&JIXZN$L&GL$,R$G HMG<UG=HIPc?K_L&^cL&G=L$H&? ^cPc? . sQG=L/P`:=? ^(|>dL$^`?_Pc:=?-L$^`?P`HMO-R/Jº»i=HI^`?-OPcHML$GL$=^c?(VY?(R/^lOl:kO L$GUVcHSVbPlVHMGVc?-R/^lOl:=HMG=NfRQi=?Pc?-^c>dHMG=HSVbP`HMOR/JMN$L$ ^`HIPc:=> L/h^`L$TUGUijHMG=Nkg=^c?(VY?-^cZHMG=NkOL$GZ&?jHPbXR$GUig=JMR$GUR/^`HIPbXVYTUOl:@P`:UR|PVcL$>d?P`:=HIGUNKHMV,g=^`L||R/[=JM?L$G@Pc:=? i=HMVYP`R$GUO?;[2?Pb? ? GdR_L$^`L$G=L&H"&? ^cPc? R/GUiHPlV,^cL&T=GUij?(iO L$^`^c?(VYg2L$Ghij? G"P- ZHIGhO?fRFOL$GhVbPlR/G"P_[hL&T=GUiHMV GUL/P_R$Ol:=HM? |R/[UJI?&»R[2L$T=GUiij? g2? GhijHIGUNFL&GKPc:U?;i=HMVYP`R$GUO?PcLPc:=?G=?(R/^`?-VYPVcHP`?L$T=JSi[2?;RQN&L"LjiK^`?-VcT=JIP- vd} 7 ¨Z§ ! ¤ 8© ; ¤ ¤ 72y 9;:U?@R$TjPc:=L&^`VL$T=JSiJMLH "&?P`LP`:UR/G "&R$OO " ZG=LZ?-X"HMG " L&^F:hR»"HMG=N N$^lR$OHML$ThVYJMXg=^`L|ZHMi=?-ig2L$HMG"P`VkVY? P`V ^`L$> :=HMVCF i=R/P`R$[UR$Vc?KOL|$?-^cHMG=NPc:=?K^`? N&HIL&GL/,R/GhOL$TU$? ^(
(134) f &I>r )U <L$HSVcVcL$G=GhR|P- Z:hR/g2?^`?-O L$GUVYPc^`TUOPcHML$G ^`L$> g=JSR/GhR/^dO^`L&V`VbVY?(OP`HIL&GUV E` C* 1*E * >
(135) Q I^MQ\COC MUp$p ¡ r»¢ Mr jA$t= FOPcL&[h?-^Kr-t&q$q= & A )U <L&HMV`VcL$G=GUR/PR/Ghi <FWCF? HMN$? ^(k9;:=^c?-?ijHM>d? GUVcHML$GUR$J^`?-O L$GUVYPc^`TUOP`HIL&GL/O L$>dg=JM?4Vc:UR/g2?-V [hR$Vc?-i L&GPc:U? ? JSR/T=GhR»XP`^cHSR/GUN$T=JSR|P`HIL&GWÇG eK 8_sOl:UR/^`X&RR$GUi <CFL&JMijN&L/b_?(ijHP`L$^lV 5 QO MOK \3 /Q I^MOQ*COC*
(136) 3QO MOK : C*YK
(137) ^7 h_$L&JIT=>d?r(t /(=WgUR$N$?-V%t B/ p t @(= j]_ Wr(t$t&o= & o )U <L$HSVcVcL$G=GhR|PR$GUF i 0]W]_^`? gUR$^`R/P`R=efL$[=TUVYPkg=JMR$G=?dVY? ?-g4 L$^FHMG&P`? ^lVY?(OP`HIG=N Vc? N$>d?-G&PlV ef?-Vc?-R/^lOl: ef? g2L$^cPQo&/A @ =" Qebsr(t$
(138) t @j & %p ) ? ZHMJIJM? ^lV- L$>dg=TjPlR|PcHML$GhR/JZN$?-L$>d?P`^cXR$GUiijHSV`O^`?Pc?O L$>dg=TjPlR|PcHML$GhV jG I^M 7! C>M>Q Q 5QO Q #HG\
(139) E` Q\ \3 /Q>#H MO Mr-t&%t BU ¡ HMGZZHP`?-igUR/g2? ^¢ & () Y 0=L&^YP`T=G=?KR/GUi UjR/G X "8 #OHM? G"Pf?=R$OP;R$^cHIPc:U>@? PcHSO L$^fOL&>dg=TjP`R/PcHML$GUR$J8N$? L&>d?Pc^`X$ G IM <4
(140) Y
(141) CHEC E` 5QO MUgUR$N$?(V^r B$o 2Jr @$Aj2r-t&t$o= 3. 3. 3. 3. 3. ). 3. ). *. 3. Ã ÂWÃÄÈ.
(142) A=r.
(143) . ZPc? &? GT0=L&^YP`T=G=?&__? ^cPc?Z^cL&T=GUijHMG=NdR@Pc:=^`? ? i=HI>d? GhVYHML$GUR$J8ghL&JIXZ:=?(ij^`R$JWVYTU[2ijHMZHMVcHML$GW_GI^M 4 Y
(144) CHEC E` 5QO M=gUR$N$?(Vkr$rB2r»A%(jhr-t&t$q= & @J) _CFLZLjij^`HMOl: UCFTUHI[UR&V U f? ^lVc:"[2? ^`N$?-^-R/GUi ]_9R/G=?-GZ[UR/T=> jGUR/g ^`L$TUGUijHMG=N4JMHIG=? Vc? N&>d? G"P`VF\? #O HI?-G&P`JIX HMGÇPbL R$GUiP`:=^`? ?dijHI>d?-GUVYHML$GhV kG I^M !Y
(145) CHEC E` 5QO M=gUR$N$?(VfA/q/ p jA$t$o=hr-t&
Documents relatifs
constat, unanime en Colombie, que la résolution des conflits par élimination de “l’opposant” est l’une des caractéristiques de la violence nationale. Première
Automatic test data generation, structural testing, constraint solving techniques, global constraints 1.. Structural testing techniques are widely used in unit or module testing
Trois autres échantillons du pool CHAT étaient également gardés au Center for Disease Control et ont été inclus dans cette analyse (CHAT pool 13, CHAT type 1 Wy4B-5, CHAT 1FL)..
Un habitat de La Tène moyenne et finale à Berry-au-Bac au lieu-dit “ Le Chemin de la Pêcherie ” (Aisne).. Jérôme Dubouloz, Michel Plateaux,
It is obvious that the steel showed the plastic strain memory effects at each test temperature, in other words, in spite of the hardness of the steel cyclic stress,
Les cités et leur territoire d'influence sont administrées par de puissantes familles, celles de l'aristocratie terrienne et marchande, qui tirent leur légitimité de
L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des
In this paper, we have defined the steady-state control problem for MDP, and shown that this question is decidable for (ergodic) MDP in polynomial time, and for labeled MDP
