Numerical simulation of tunnel fires using preconditioned finite volume schemes
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(28) dg~ pf []m
(29) [_pf []f|ß|à-áÐpJâãz{se~lYäfH v¢<djbå p¨â6àCk)nVvw^ m)pem
(30) []~Èsef se\_nVk
(31) []kjà«æ«[]f [_m)d}iep\ç vwd vwdjm
(32) Y|pVTà0pf(k)djb
(33) iusum
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(35) íê. òfÑb
(36) dg~ dgfmÄnedgsubFkÄm
(37) Y|djb
(38) dâdjb
(39) ds3fx(v¢<djbPpeq¢m)blsuß[ç~sef |dgse \_nó[]f ~j[]|dgfxm
(40) kP[]fÑ~jsubÁm
(41) f f dg\]kjà4q?peb d ô|sevw^(\_d%[çf3m
(42) Y|d$z%pfxmo`\çsef ~Ám
(43) f(f|dg\6gõeõeõHà4m
(44) Y|d$öse djblf÷m
(45) f(f|dg\6gõeõeõøpebm
(46) Y|d$r6su^ bl fäm
(47) (f f|dg\ eeVöyY []kZ dgvwpf k)m)blsum)dgkm
(48) Y|df|djdgaq?pebvwpeblddjù~j[]dgfm k
(49) suq?djmonavwdgsek
(50) |b
(51) dgkg«öyY|djb
(52) dCd ôV[]k
(53) m
(54) ks"iusubl[_djmon peq~ pH dgk|dgkl[_ßf|dgÄm)pÈ^ b
(55) p¨iV[]|d6[çf|q>pebFv}sum
(56) [_pfPpf$k
(57) vwpecedsef(ÁY|dgsum djiedg\_pe^(vwdgfxm[]fÁ( []\]([]f|ßkjàHk)djd q?peb4d ôVsev}^(\_dm
(58) Y|d¢kl|b
(59) iedjnú û òf÷^ blsLô|[]kjàpeq?m)dgfük)pË~jse\]\_dg÷ýjpf(se\yvwpV|dg\]k}\ç[_cedÁm
(60) Y|d{z{ \_m
(61) [yþ4pHpvÿæ«[_b
(62) d{ pH|d%peq¢z%sLô ú´ eûsub
(63) d su^ ^(\ç[_dgTàZâY []~lYü k)dÁd ôVm)b
(64) dgvwdg\_n3~ psublk
(65) d%ßebl[](kjàs [_iV[]k
(66) [_pfËpeqdgse~lY ~ dg\]\[]f÷Y|pemsef(ü~ p\]3ýjpf dgk sef Ë~ pf k)djb
(67) iusum
(68) [_pf peqyv}sek
(69) k"sef dgf|djb
(70) ßene$ö4Y|dgk)dPvwdjm
(71) Y|pV k¢subldÈqsek)msef øm
(72) YH k"se\]\_pJâ2^(sublsev}djm)djb k)m
(73) ([_dgkjp¨âdjiedjbgàem
(74) Y|djn6~jsef(f|pem- dgse\ây[_m
(75) Y¢~ pvw^(\][]~jsum)dgßedjpvwdjm)bl[]dgk-sef(6^ b
(76) pJiH[ç|db
(77) dgk
(78) (\_m
(79) kTm
(80) Y sum«sub
(81) d f|pf \]pH~jse\æ b
(82) m
(83) Y|djblvwpebldeàHm
(84) Y djnÈsub
(85) d6|dgkl[_ßf|dgaq>peb (([]\] []f ßksef Tà| |dCm)pwm
(86) Y|dv}[]klk
(87) []f|ß"vwpvwdgfxm
(88) v d sum
(89) [_pfTà ~jsef f pemyk
(90) []v" \]sum)d( p¨nsef ~ nÄ|bl[]iedgfPå p¨âykysek4m
(91) Y|pk)d[]fÄk
(92) \_pe^<dgPm
(93) f f dg\]kj ö4Y|dse\_m)djblf(sum
(94) [_iedm)pwýjpf se\TvwpV|dg\]ksub
(95) d6k)pw~jse\]\_dg dg\çÈvwpV|dg\]kgàHâY []~lYa~ peb
(96) b
(97) dgk
(98) ^pf(Èm)p}v" ~FYÄvwpeb
(99) d se~j~j|blsum)d%m)pxp\]k"^ blp¨iV[]|dgËxnË~ pvw^(|m
(100) sum
(101) []pf se\ å( [] |nVf sev}[]~jkÄ æ«t6Fö4Y|pk)dÄ~jsef÷[çfø^ bF[]f ~j[_^(se\ |dgse\ ây[]m
(102) YË~ pv}^(\][]~jsum)dgäßedjpvwdjm)bF[_dgk}sef Ë(|pJnsef ~ nä|bl[_iedgfËå pJâykj öyY|dÄ[]f ~ b
(103) dgsek)dÄ[]fä~ pvw^0|m)djb ^<p¨âdjbv}sucedgkm
(104) Y|d k)d"peqm
(105) Y|dgk)dvwdjm
(106) Y|pV kCsu^ ^(\][]~jsu0\_d6m)pPm
(107) Y|dgk)d"^ b
(108) pe(\]dgv}kjà<Y|p¨âdjiedjbm
(109) Y|djb
(110) d[]kCk)m
(111) []\]\ f|djdgÄq?peb4qsek)m)djbse\]ßepebl[_m
(112) Y v}k sef(Äq?sek
(113) m)djb~ pvw^( m)djblkj ö4Y|dsubl[]k
(114) []f ß6å p¨âkZ~jsefa<dy~lY subFse~ m)djbl[_ýjdgaxn}~FY sublse~ m)djbl[çk)m
(115) []~yk
(116) ^djdg(kpeqTpf|dCvwdjm)djb ^djbk)dg~ pf asef m
(117) YH k sw\_p¨â z%se~FYÁfx(v¢<djb¢ j Jsef PHnÈY []ßYÈm)dgv}^djbFsum
(118) |b
(119) dßeblse []dgfm
(120) kjöyY|djnÈsub
(121) d6 bl[_iedgf Hnw(|p¨nsef(~ n}sef }m
(122) Y|dCk)m)b
(123) pf|ß"Y|dgsum k)p|bl~ dgkjZ se(k)dg}Hnwm
(124) Y|dgk)d d
(125) dg~ m
(126) kjàV^(sublm
(127) kZpeqTm
(128) Y|då p¨â <dg~ pvwd ~ pvw^ bldgk
(129) k
(130) [_(\]deàHse\_m
(131) Y p|ßYPm
(132) Y|dßedgf|djblse\8k
(133) [_m
(134) sum
(135) [_pfP[]k f dgsubl\_nÈ~ pv}^ b
(136) dgk
(137) k
(138) [](\_de«ö4Y []k []k k
(139) [çv}[]\]subm)p}sw\_pem peq su^ ^(\][]~jsum
(140) []pf kjàâyY|djb
(141) dm
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(143) Y|dw~ pvw^ b
(144) dgk
(145) kl[_([]\][]monÄ^ b
(146) pe^<djb
(147) m
(148) []dgkiusub
(149) n$[]f$m
(150) []vwdpeb k)^(se~ de Hpvwd6d ô|sevw^(\_dgkysub
(151) d6f|peýjýg\_d6å(p¨â6à(~FY|dgv}[]~jse\ç\_nb
(152) dgse~ m
(153) [çf|ß}å pJâyk peb\çsev}[]f sub ~ pv( k)m
(154) [_pfÐ òf{m
(155) Y d} æ-t ~ pv}v" f [_m²neàTm
(156) Y|ddjù~j[_dgfxm6k
(157) []v" \]sum
(158) [_pf{peq\]p¨â z%se~FYBfH v¢<djbCå p¨âk[]ksakl| )dg~ mCpeq pf|ßep[]f ßP([]k
(159) ~j k
(160) kl[_pfTò²m[]kCâdg\]\-cHf p¨âyf!m
(161) Y sum^( b
(162) dg\_n%~ pvw^(b
(163) dgk
(164) k
(165) [_0\_d¢å pJâ k)p\_iedjblkâY []~lY{âdjb
(166) d}|d iedg\_pe^<dgaq>peb m)blsef(k)pf []~å p¨â dg\ç kZ^(b
(167) pH( ~ dyâ4blpf|ßbldgk
(168) \_m
(169) ksum \_p¨â z{se~lYÁfH vdjbFkZpfab
(170) dgsek)pf(su(\_d .
(171) ßebl[](k-sef("f djdgwsefw f se~j~ dj^ m
(172) su(\]d0f|d vwdgk
(173) Y"ây[]|m
(174) Y"m)p^ b
(175) pJiH[ç|d ~ peb
(176) b
(177) dg~ mb
(178) dgk
(179) (\_m
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(181) se[]\Zxnp\_^<d!ú û f m
(182) Y|dÈpem
(183) Y|djbwY sef Tà«k)m
(184) sef subF []f(~ pvw^ b
(185) dgk
(186) kl[_(\_då pJâ k)p\]iedjblk ~jsef f|pem|dgse\-ây[]m
(187) Y{k)m)blpf|ßPm)dgvw^<djblsum
(188) |b
(189) d"pebk)m)b
(190) pf|ßÄ|dgf kl[_monÄßeblse([_dgfm
(191) kgpf k)d |dgfxm
(192) \_neà<m
(193) Y|djb
(194) dwsub
(195) d moâp!v}se[]føsu^(^ b
(196) pse~lY dgk¢m)p$m
(197) Y|dÈ dgk
(198) [_ßfBpeq4fH vwdjbF[]~jse\vwdjm
(199) Y|pV kq>pebm
(200) Y|dÈsu<pJieda vwdgfxm
(201) [_pf|dg å pJâykj k)ddg[_m
(202) Y djbm
(203) Y|dw~ pvw^ b
(204) dgk
(205) kl[_(\_d"pebm
(206) Y|d}[]f ~ pv}^ b
(207) dgk
(208) k
(209) [](\_d \_djbpeb s¨iH[]djb)/Hm)pecedgk6d sum
(210) [_pf(ksekm
(211) Y|d (sek
(212) [ç~"v}pH|dg\sef([]vw^ b
(213) pJiedw|^<pf{m
(214) Y dwd ôV[]k
(215) m
(216) []f|ßÄvwdjm
(217) Y|pV kj f|dw[]vw^<peb
(218) m
(219) sefxm[]|dgsP[]f$m
(220) Y []k~ pfxm)d ôVm â sekm
(221) Y d"sub
(222) m
(223) [ (~j[]se\8~ pv}^ b
(224) dgk
(225) k
(226) []([]\][_m²nav}djm
(227) Y|pH{Hn$ Y|pebl[çføú eû«m
(228) Y sumC[çf k)^([_bldgÄm
(229) Y|d"^ b
(230) dg~ pf []m
(231) [_pf|djbypeq ö-|b
(232) cedg\ú û0q?pebm
(233) Y|dC~ pvw^ b
(234) dgklk
(235) [_(\_d d sum
(236) [_pf(kjö4Y|dgk)dvwdjm
(237) Y|pV k[çf ~ peb
(238) ^<peblsum)dys¢^ b
(239) dg~ pf []m
(240) [_pf []f|ßpeq m
(241) Y|d6m
(242) [çvwd6|djbl[_iusum
(243) [_iedpeq«m
(244) Y|d6X t yà m
(245) YH k4se\]\_pJây[]f|ßqsek)m)djb~ pfxiedjb
(246) ßedgf ~ d"m)pk)m)dgse nPk
(247) m
(248) sum)d¢(|m4klse~ bl[´ (~j[]f ßam
(249) [çvwd}se~j~j|blse~ nea\_pf ßÄm
(250) Y|dgk)d\][çf|dgkjàTpem
(251) Y|djb6^(b
(252) dg~ pf [_m
(253) []pf|djblkCâdjbld}^ b
(254) pe^<pk)dg÷ú à û}ö4Y|d ~ bl ~j[çse\0[] dgs[]kgàm
(255) Y sum sekm
(256) Y|d6z%se~FYÄfx(v¢<djbm)dgf km)p"ýjdjblp|à|m
(257) Y|dpebF[_ß[]f se\0k)nHk
(258) m)dgv djiedg\_pe^(k s\]sub
(259) ßed []k
(260) ^(subl[_m²n{[]fâ sgiedPk)^<djdg kjà-sekk
(261) pvwd}peq m
(262) Y|d}dg[]ßedgfiuse\]|dgk¢ßeb
(263) p¨â m)p{[]f (f [_m²n%âyY [ç\_dpem
(264) Y|djblk6bldgv}se[]f ! ¨F ö4Y|d6^ bldg~ pf [_m
(265) [_pf djb4~lY sef|ßedgkCse\]\<m
(266) Y|d¢âs¨ied"k)^<djdg k4m)p ! ¨Fà(m
(267) YH k ßebldgsum
(268) \_nÁ[]vw^ blp¨iV[]f|ßm
(269) Y|d ~ pf []m
(270) [_pfÄfx(v¢<djb peq«m
(271) Y|d6k)nVk)m)dgvÄ òfBm
(272) Y []ksub
(273) m
(274) []~j\_deà«âdÈâ[]\]\~ pf ~ dgfxm)blsum)dPpføå(p¨âãk)p\_iedjblkâyY []~FYøsub
(275) da(sek)dgøpf ~ pv}^ b
(276) dgk
(277) k
(278) [](\_d}å pJâ6 djb
(279) deà m
(280) Y|b
(281) djdÁv}se[]f÷m)dg~lY f [ |dgk}m)pBpe m
(282) se[]f3m
(283) [çvwdÁse~j~j|blse~ n÷~jsef3<dÁ [çk)m
(284) []f|ß [çk
(285) Y|dgTËæ-[]blk)mwpeqse\]\à m
(286) Y|djb
(287) dB[çkÄm
(288) Y|dm)dg~lY(f [ |dm)pü k)dm
(289) Y dBsupJied vwdgfxm
(290) [_pf|dgÑ^(b
(291) dg~ pf [_m
(292) []pf []f|ßävwdjm
(293) Y|pV kPq?peb%k)m)dgse|n k)m
(294) sum)daå p¨âk¢[]fBs%^(k)dg pÄm
(295) []vwdk)m)dj^(^([]f|ßÁk
(296) ~FY|dgvwd!ú à " à õLûÄæ |b
(297) m
(298) Y|djbFvwpeb
(299) deà-m
(300) Y|djb
(301) d[]k¢m
(302) Y|d}å(|ô ~ peb
(303) b
(304) dg~ m
(305) []pf3su^ ^ b
(306) pse~FYTàZâyY djb
(307) dÄsef3su^ ^ b
(308) p¨ôV[]vsum
(309) [_pfËm)pm
(310) Y|#d Z \_djb"peb CsgiV[_djb)/Hm)pecedgkd sum
(311) []pf kw[]k k)p\_iedgüsef 3m
(312) Y|dgf3~ peb
(313) bldg~ m)dgüiV[]s$dg\]\][_^(m
(314) []~È~ peblb
(315) dg~ m
(316) [_pf÷d sum
(317) [_pf(kÁú´j à4 à e û÷æ«[]f(se\]\_neàZm
(318) Y djb
(319) dÁ[]k m
(320) Y|dÁå0VôË^(b
(321) dg~ pf [_m
(322) []pf []f|ßsu^ ^ blpse~lYTà âyY|djbldÁpf \_nËm
(323) Y|d% [çk
(324) k
(325) [_^(sum
(326) []pfäây[_m
(327) Y []fËm
(328) Y|d{fx v}djbl[]~jse\ å(|ô q f ~ m
(329) [_pfpeq m
(330) Y|dÈå p¨â k)p\_iedjb"[]k6~lY(sef|ßedgøHn\_p¨âãz%se~FY fH v<djb6^ b
(331) dg~ pf ([_m
(332) [_pf []f ß!ú õVà ûÄö4Y []k Y sek4k
(333) djiedjblse\8se|iusefxm
(334) sußedgkjCfÁ[]v}^peblm
(335) sefm pf|d[]k m
(336) Y sum4m
(337) Y d6[]vw^(\_dgv}dgfm
(338) sum
(339) [_pf%[]k ([_m)d6k
(340) []vw^0\_deö4Y|d pf \_n{^(sub
(341) mpeqm
(342) Y|dwå pJâ2k)p\_iedjbm
(343) Y sumf|djdg km)pÁ<dw~lY sef ßedgø[]km
(344) Y|dwå0Vô%q f ~ m
(345) [_p fTö4Y|dwpem
(346) Y djb6pf|d []k m
(347) Y sum4~ pv}^(sub
(348) dgÄm)pwm
(349) Y|då0Vôa~ peb
(350) bldg~ m
(351) [_pfÁsu^ ^ blpse~lYTà|m
(352) Y|d6~ pv}^(|m
(353) sum
(354) [_pf se\Ð d
(355) peb
(356) m ^<djb m
(357) []v}dk
(358) m)dj^%[]k k
(359) v}se\ç\_djbg ö4Y|dPse []m
(360) [_pføpeqk)p|bl~ dPm)djblv}k[]k"^<pk
(361) k
(362) [](\_d[]fËsef3se\_ßepebl[]m
(363) Y v}[]~jse\]\]n!k
(364) m)blse[_ßYxm)q>peb
(365) â sublËâ sgn (k
(366) []f|ß pe^<djblsum)pebk)^(\][_m)m
(367) [çf|ßkjÈp¨âdjiedjb}[_m6m
(368) blf kp|mjà«m
(369) Y summ
(370) Y|dÈf djâ k
(371) ~FY|dgvwdÈY(sekk
(372) b
(373) ^ bl[]kl[]f|ßa^ b
(374) pe^<djb
(375) m
(376) [_dgk b
(377) d [_bl[çf|ß"k
(378) ^dg~j[çse\T~jsub
(379) d¢[]fÄ[_m
(380) kysu^ ^(\][]~jsum
(381) []pfT `dgk
(382) []|dgkZm
(383) Y|dy\_pJâ z{se~lYafx(v¢<djbgàem
(384) Y|dpem
(385) Y|djb~FY sublse~ m)djbl[]ýg[]f|ß6^ blpe^djblmonq>pebZm
(386) Y|dym
(387) f(f|dg\ b
(388) d4^(b
(389) pe(\_dgv []k"m
(390) Y|dPßebls¨iH[_m
(391) sum
(392) []pf se\ q>pebF~ deàZâyY [ç~lYä[]k"b
(393) dgk)^<pf k
(394) [](\_d}q?pebwm
(395) Y|dPm)blsef k)^<peb
(396) m"peqY pemse[]bwm)p$m
(397) Y dP~ dg[ç\][]f|ß peqm
(398) Y|d}m
(399) f f dg\w ~ peb
(400) bldg~ m¢~ pvw^(|m
(401) sum
(402) []pfpeq m
(403) Y|dw d
(404) dg~ mpeqßebFsgiV[_m
(405) sum
(406) [_pfø[çkm
(407) Yx k¢v}sef sum)peb
(408) n!q?peb¢s k
(409) ~j~ dgklk)q?(\Tk
(410) []v" \]sum
(411) [_pfPpeq«swm
(412) f f dg$\ b
(413) ddjiedgfmj Zk
(414) ^dg~j[çse\]\_n6[]fvwdjm)djpeb
(415) p\]peßeneàxå pJâyksub
(416) d4~ pf kl[]|djb
(417) dg"m
(418) Y sumsub
(419) d4f dgsubm
(420) Y|d YnV|b
(421) pk
(422) m
(423) sum
(424) []~ (se\]sef ~ deàxvwdgsefV []f|ßm
(425) Y su&m % ')(+*-,#.0/21 ! 3FF Hdjiedjblse\fx v}djbl[]~jse\(v}djm
(426) Y|pH(kZd ô|[]k)mq>pebm
(427) Y|dgk)dCå pJâykjà|k)djdCq>pebd ôVsev}^(\_d m
(428) Y|dwm)d ôVm)<pxpec$peqt|blblsef3ú ûw`pem)m
(429) sVà«r6\_dg[çfTàTá8sef|ßedgfx<djb
(430) ßÄsef 5á |4 m)ýjdgf cH[_bF~lY|dgf!^<p[]fxmp|m6[]f3ú û m
(431) Y sumk)pvwdpeqm
(432) Y dgk)dwvwdjm
(433) Y|pV kY(sgiedw^ b
(434) pe0\_dgv}kjCò²qZâdsek
(435) k
(436) v}dm
(437) Y summ
(438) Y|dwk)p\ç|m
(439) [_pf$[]kf dgsubYxnV|b
(440) pu k)m
(441) sum
(442) []~"(se\çsef ~ deàTm
(443) Y|dgf!âyY|dgf$ []kl~ b
(444) djm
(445) [_ýg[]f|ßÈm
(446) Y []kCây[_m
(447) Y$vwdgk
(448) Y!â[]|m
(449) 7Y 69871;: k
(450) []f ßÈsPvwdjm
(451) Y|pV$m
(452) Y sum []=k <Lm
(453) YÄpebl djby~ pf k
(454) []k
(455) m)dgfmjà âd6pe m
(456) se[çfÁs} []kl~ b
(457) djm
(458) [_ýgsum
(459) [_pfPdjb
(460) blpeb4peq % ' ( *>,?.0/VA@,B%0' ( *9CD.0/E1 ! : FjHG .
(461) ò/qI3¢m)dgf( k¢m)p$ýjdjb
(462) p$âyY []\]d>:Ëb
(463) dgv}se[]f(k|ôVdgTà-m
(464) Y|da([]k
(465) ~ b
(466) djm
(467) [_ýgsum
(468) []pfBdjb
(469) b
(470) peb ! : F ¢~ pvw^(\_djm)dg\]nB|pv}[´ f sum)dgkCm
(471) Y|dk)p\]|m
(472) []pfT4ö4YH ksekâd"~ pvwdwf|dgsubldjbm
(473) Y|dYxnH|blpk)m
(474) sum
(475) []~6d []\ç[_ bl[](v m
(476) Y d se\][_m²nÄpeqm
(477) Y|d k)p\] m
(478) [_pfÈ pxdgk f|pem []f ~ bldgsek)de[_m []k(f(se\çsef ~ dgT«ò²q8âdcVf|p¨âÑ<djq>pebldgY sef Èm
(479) Y|d~ peb
(480) b
(481) dg~ m4YxnH|blpk)m
(482) sum
(483) []~ d []\][_(bl[] J v *LK sef M .K6à0âd"Y sgiedwsÈ|dg~ pvw^<pk
(484) [_m
(485) [_pf *M1ONP*C*LK sef Q .>1RN).CS. K k
(486) sum
(487) []k
(488) q>nV[]f|ß % ')( *$KR,T. K&/T1 V ö4Y|dgf3m
(489) Y d% []k
(490) ~ bldjm
(491) [_ýgsum
(492) [_pf3djb
(493) blpeb}q>pe>b |ôVdgU :÷m)dgf( kwm)pøýjdjblpø[_Vq 3}m)dgf (kwm)p ýjdjb
(494) p|p¨âdjiedjbgàZâyY dgfø k
(495) [çf|ß%m
(496) Y|dapebl[_ß[çf se\ []kl~ b
(497) djm
(498) [_ýgsum
(499) [_pf ây[_m
(500) Y|p ms$|dg~ pvw^<pk
(501) [_m
(502) [_pfÐà«[]m[]k"f|pem ~j\_dgsubq?b
(503) pv m
(504) Y []kCsef se\_nVk
(505) []kjà<Y|pJâ k
(506) v}se\]W\ 3~jsef!<dg~ pvwdq>pebsaß[_iedgfvwdgk
(507) Y$ây[ç|m
(508) Y{sef($sa^(sublm
(509) []~j \]sub ^ b
(510) pe0\_dgvÄà<djq?peb
(511) dym
(512) Y dC [çk
(513) ~ b
(514) djm
(515) [_ýgsum
(516) [_pfÈdjb
(517) b
(518) peb |pv}[çf sum)dgkm
(519) Y|dCk
(520) p\]|m
(521) [_pfT«Cksb
(522) dgvwdg neàHs"b
(523) dg~ pf k
(524) m)bl ~ m
(525) [_pfP^ blpH~ dg b
(526) d[]k k
(527) |ßeßedgk)m)dg%[]fú ûà|m
(528) Y sumy k
(529) dgk Es Xe []k
(530) ~ b
(531) djm)d6bl~FY []vwdg|dgk 0|p¨nsef ~ na^ bl[çf ~j[_^(\_Yd X¢m)p pe m
(532) se[]f%swâdg\ç\´(se\]sef ~ dgÄkl~lY|dgvwde ß|nedgfVo` [àtC b
(533) pV~js}sef %z{se[_b
(534) dÈú eû-su^ ^(\ç[_dgÄs}\_pJâ z{se~lY$^ b
(535) dg~ pf ([_m
(536) [_pf|dgÄvwdjm
(537) Y pHÄm)pas}q?b
(538) djd ~ pfxiedg~ m
(539) [_pfÁ^ blpe(\_dgvÄàVâyY|djbldse[]b âsek4~ pHp\_dgÁsef(ÄY|dgsum)dgÄ<djmoâdjdgfÄ^(\]sum)dgkysef TàV<dg[]f|ßwk
(540) | )dg~ m m)p (|pJnsef ~ neàTk)m
(541) sub
(542) m)dg{m)pa~j[]bl~j \]sum)deyöyY|djb
(543) d6m
(544) Y|djnÄpe0k)djb
(545) iedg$djb
(546) b
(547) peblk[]fÁm
(548) Y dg[_bfH vwdjbl[ç~jse\8~jse\]~j \çsum
(549) [_pf kj ö4Y|djnÈm)bl[_dgPsk
(550) []v}[ç\]sub dg~ pvw^<pk
(551) [_m
(552) [_pfapeq8m
(553) Y dC^(b
(554) dgk
(555) k
(556) |bldCsef P~ p \çÄ[]vw^ b
(557) pJiedm
(558) Y|dg[_b b
(559) dgk
(560) \]m
(561) kjàxm
(562) Y p|ßY f|pwd ôV^(\]sef sum
(563) []pfÄâsek4ß[_iedgfT ö4Y|d$p|m
(564) \][çf|dÁpeq¢m
(565) Y([]k^0su^djbP[]kasekPq>p\ç\_p¨âykgò/f k)dg~ m
(566) [_pfÑm²âp|àCâd$ bl[]djå n÷[]fxm)b
(567) pH( ~ d%m
(568) Y|d!vwpV|dg\ q?pe5b b
(569) d[]f ~j[ç|dgfm
(570) kgàHâY []~lYÄ~ pf(k
(571) []k)m
(572) k peq-m
(573) Y|d Z(\_djb d (sum
(574) [_pf k peq-ßsek4|nVf sev}[]~jk â[_m
(575) YÄk)p|bl~ dm)djbFv}kj ö4Y|djbldgsuq>m)djb«[]f¢k
(576) dg~ m
(577) [_pf"m
(578) Y|b
(579) djdeàe5s (f([_m)diep\] v}dsu^ ^ blpgô|[]v}sum
(580) [_pfpeq|m
(581) Y|dZßepJiedjblf []f ßd sum
(582) [_pf k- k
(583) [çf|ßys á8sLôHoæ|bl[]dg|bl[]~FY km²nx^<dyk
(584) ~FY|dgvwd[]k^ bldgk)dgfm)dgÈâyY|djbldjxnâd~j|b
(585) m
(586) \]n" [çk
(587) ~j k
(588) km
(589) Y dsek)nVvw^ m)pem
(590) []~y<dgY sgiV[_peb sekm
(591) Y|dyz{se~lYÈfx(v¢<djb«m)dgf k«m)p6ýjdjblp|[ Zdyây[]\]\xm
(592) Y|dgf^ b
(593) pV~ djdgwm)p6\_pHpec~j\]pk)dg\_nsumm
(594) Y|d4k)p|bl~ d m)djbFv}kj djb
(595) dwâdwâ[]\]\- k)dwsef!pe^<djblsum)peb¢k)^(\ç[_m)m
(596) []f|ß|àTsekm
(597) Y [çkC[çkm
(598) Y d}k
(599) []vw^(\]dgk)mm
(600) Y([]f|ßam)p%|p|km
(601) Y|d}~ peblb
(602) dg~ m b
(603) dgk)p\ç|m
(604) [_pf!peq m
(605) Y|d}( p¨nsef ~ nq?pebl~ d[]k¢~ bl ~j[]se\à8âd}â[]\][\ blk)m6[çfm)djßeblsum)dÈm
(606) Y|d}ßebls¨iH[]m
(607) sum
(608) [_pf se\Zk
(609) p|bl~ d m)djblvãpf \]neyq?m)djb4Y sgiV[]f|ß"d ô|sev}[]f|dgam
(610) Y []kHn}<pem
(611) YÄsef se\_nVk
(612) []ksef Pfx(vwdjbl[]~jse\d ôV^djbF[]vwdgfxm
(613) kZâdây[]\]\ se PY|dgsum4k)p bl~ dgkjö4Y|dgk
(614) dCsub
(615) d6~ pf(k)m
(616) sefm4[çfm
(617) []v}dsef(ak
(618) ^(se~ dsef Ä\s
(619) dg~ m m
(620) Y dk
(621) p\]|m
(622) [_pfÈpf \_n\]pH~jse\]\]n sef Bf pem6ß\_pe(se\]\]neà8sekm
(623) Y|d}ßebFsgiV[_m
(624) sum
(625) [_pf se\Zm)djblv|pHdgkjö4Y djb
(626) djq>pebld[_m6[]kv" ~lYødgsek
(627) [_djb6m)p{k
(628) []v" \]sum)de æ«[]f se\]\]neàLâd ây[]\ç\x|dgv}pf k)m)blsum)d m
(629) Y|d q?dgsek
(630) [_0[]\][_m²npeq(m
(631) Y|d4vwdjm
(632) Y pHHnvwdgsef(kpeq0k)djiedjbFse\|m)dgk)m^ b
(633) pe0\_dgv}kj ]. ^_9`baídc `ìÐêwñlê9ae`gf¢ï9hëTñ
(634) íê9i. ö4Y|&d \_djb«d (sum
(635) [_pf k~ pf kl[]k)m«peq0m
(636) Y d ~ pf(k)djb
(637) iusum
(638) [_pf}\]s¨âyk«peqvsek
(639) kjàvwpv}dgfm
(640) v sef(dgf|djb
(641) ßeneàx~j\]pk)dg HnËsef3d sum
(642) [_pf÷peqCk)m
(643) sum)de [_iedgf÷sef3pe^<dgf÷ pv}se[]fSjkmlgnVàm
(644) Y|dÁ []v}dgf k
(645) [_pf se\q?peblv ~jsef÷<d d ôV^ b
(646) dgk
(647) k)dg%sek n % o+p#C q % 'xw)y r p«g 1z []Ef j|{#lg} ~ ¨ rtsvu âyY|djbld p1 . ~ u ~ n ~.+ $b
(648) dj^(b
(649) dgk)dgfxm
(650) km
(651) Y|dyiedg~ m)pebpeqT~ pf k)djb
(652) iedgÈiusubl[]su(\_dgkg-ö4Y d å(Vôq? f(~ m
(653) [_pf k y r sef Äm
(654) Y|d6k
(655) p|bl~ d6m)djbl v z$subld6ß[_iedgfÄHn r S C N * . / y r p«g 1 rYu CSN u r * ~v91 ~ ~z- p«d 1 . / ut\ <<nn r r \ n r . . n n.
(656) ây[_m
(657) YNt r dgf|pem
(658) []f|ßÈm
(659) Y|d"r6b
(660) pf|dg~
(661) cedjbk)nVvp\yö4Y|d sefxm
(662) [_m
(663) [_dgk.(àL1ã u ~ n + à1 u ~ n + Zà sef M 1 C ¡¢È dgk
(664) ~ bl[_<dm
(665) Y|d¢ dgf k
(666) [_m²neà iedg\_pV~j[_moneàvwpvwdgfxm
(667) v5^<djb4 f []m iep\] vwdeà m)pem
(668) se\dgf|djb
(669) ßen ^<djb¢ f []m6v}sek
(670) k¢sef(Bm)pem
(671) se\dgfm
(672) Y se\]^xn!^<djb¢ f []m6v}sek
(673) kjàb
(674) dgk)^<dg~ m
(675) [_u iedg\_nePö4Y|d}^(b
(676) dgk
(677) k
(678) |bld}[]k6|d(f dgxn m
(679) Y|d"d (sum
(680) [_pf$peqZk)m
(681) sum)dq>pebsÈ^<djb
(682) q>dg~ mCßse£k *1 ¤M,ü¨¥ .<¦ §, n©¨ ¨ n FàâY|djb
(683) -d ¤ø|dgf|pem)dgkCm
(684) Y|d"blsum
(685) [_p peqk)^<dg ~jª[ (~Y|dgsum
(686) kjà(m
(687) sucedgf%sek¢ G q>pebCse[_bg ö4Y [çkTq>pebFv'peq m
(688) Y £d Z(\_djb8d sum
(689) [_pf k-[]k8pe m
(690) se[]f|dg¢xn¢[çfm)b
(691) pV ~j[çf|ß m
(692) Y|d(k
(693) se\bldjq>djb
(694) dgf(~ dZiuse\]|dgkq>peb-m
(695) Y|d \_dgf|ßem
(696) DY 8 « F¬A àem
(697) Y|d4 dgf k
(698) [_m²n «. F¬® sef m
(699) Y|d iedg\_pV~j[_mon « F®¬® ö4YH kjàum
(700) Y|d4f|pfVo([]vwdgf k
(701) []pf se\~FY sublse~ m)djbl[]k
(702) m
(703) []~ fH v¢<djIb su^ ^<dgsubl[]f|ßw[]fÁm
(704) Y|ddgf|djb
(705) ßenPd sum
(706) [_pfÁ[]k d (f|dgÄsek 1 «« F®¬® ~ ¯ F¬A âyY|djbld ¯ « F¬A 1±° «* F¬A «. F®¬® |dgf|pem)dgk-m
(707) Y|dZbldjq>djb
(708) dgf(~ diuse\]|dq>peb-m
(709) Y|d k)^<djdg¢peq k)p(f M ¯ « «ö4Y []kÐb
(710) djq>djbldgf ~ d ^(sublsev}djm)djba[]kb
(711) dg\]sum)dgüm)p m
(712) Y|d!z%se~FYófH v<djb R²äiH[]s 1´³ ¤J²0ö4Yx(kj5à 1 !µ J²| sef ä~ pf k)d |dgfxm
(713) \_neàb
(714) djßsubF []f|ß$m
(715) Y|dÄsek)nVvw^ m)pem
(716) []~a<dgY sgiV[_p|b"ây[_m
(717) Y b
(718) dgk)^<dg~ m"m)pBs$iLsef [çk
(719) Y []f|ß$z%se~FY fH v¢<dj¶b J²Ä[_mC[]k4peqf|pÈ[]v}^peblm
(720) sef ~ d6âyY|djm
(721) Y dj¶b R²Ppeb []ky k
(722) dgTyö4Y|dpem
(723) Y|djbf|pfVo []v}dgf k
(724) [_pf se\ ~lY(sublse~ m)djbl[]k)m
(725) [ç~fx v<djblk sub
(726) dm
(727) Y|d6æ b
(728) p |dfH v¢<djb <1 ³ ' ¸·¹+¹»º¦º¼ ¼ ½¹»º¼ sef Pm
(729) Y|dfH vdjb bldgk)^<pf k
(730) [_(\]d · · q?peb4m
(731) Y|d¢k)m)bldgf|ßem
(732) YÄpeq«m
(733) Y|d6Y|dgsum
(734) k)p bl~ d 1 ¡¾ ·· ¹»¹»ºº¼¼ '¸·· ¹»¹»ºº¼¼ ¿. Àóì`ðíêî}ñ)ë<ñlíê9`îÂÁBñFêwñëL`ÃüíÄFïEÅÆ`mÇ `«ë_í6î. VvwpHpem
(735) Y%k
(736) p\]|m
(737) [_pf k peq«m
(738) Y|2d Z \]djb d sum
(739) []pf k4d ô|[]k)my[çfÄßedgf|djblse\8pf \_naq>pebCk
(740) Y|peb
(741) m4m
(742) [çvwdgk4sef %m
(743) Yx kypf|d. k
(744) (se\]\_nÁ[]fxm)b
(745) pV ~ dgkm
(746) Y|dw~ pf ~ dj^ mpe qZâdgsuc!k)p\]|m
(747) [_pf(kj`n$vwdgsef kpeq[]fm)djßebFsum
(748) []f|ßPm
(749) Y|dwk)nVk)m)dgv ¨ p¨iedjbsw~ pfxm)b
(750) p\Ðiep\](vwdÈsef Ásu^(^(\_nV[]f|ß se k
(751) kÉ0[]fm)djßebFse\Tm
(752) Y|djpeb
(753) dgvpf|dpe m
(754) se[]f k Ñ Ñ Ê p Ê0Ð C qÑ n Ê0ËÍÌÏÎ ÌÒ)Î y p-¥ Ó ÊÔ 1 Ì Î Õ z- p« Ê Ð ~ svu. âyY|djbldVÖ71 Ó u ~Ó n b
(755) dj^ bldgk)dgfm
(756) k m
(757) Y dp|m)djb4 f [_m f|peblvse\<iedg~ m)pebypfM%LÈ vsu^ ^([]f|ßEpB[çk ~jse\]\_dg saâdgsuc$k)p\]|m
(758) []pf%peqm
(759) Y|dd sum
(760) []pf kw¨y[]q£p3k
(761) sum
(762) []kP dgkCm
(763) Y|dw[]fm)djßebFse\q?peblv peqZm
(764) Y d2 \_djbCd sum
(765) []pf k pf%djiedjb
(766) nPp(f |dgPk)djmÈ kUjâyY([]~lYÄse\]\]p¨âyk m)pÈ|m
(767) []\][_ýjd se(k
(768) kÉ []fxm)djßeblse\Tm
(769) Y|djpebldgvÄ òfm)b
(770) pV ~j[çf|ßm
(771) Y|d}~ dg\ç\-s¨iedjblsuße>d p Ë 1 × Î u Õ ×)Ø Î Õ p Ð ~ Ë Ê0Ð à8m
(772) Y|dw[]fxm)djßeblse\«q?peblv ây[_m
(773) Y$b
(774) dgk)^<dg~ mm)pÁs ^<p\_nHßepf se\]\_n}<p f(|dgÄ~ pfm)blp\Tiep\] vw2d È=-~jsefÁdâybl[_m)m)dgfÁsek Ñ Ñ Ê pÙ) Ë g 1Ú, q qÑ n y p Ð ~ Ë )¥ Ó Ê0Ü C Ê Ë È= Õ Ò)Î Õ Ì Õ w È= ÌÎ Õ z« p- Ê0Ð ~ ¨ ¨ ¬ w Û. ¬ svu ¨ ¨ âyY|djbldÝ r |dgf pem)dgk4m
(775) Y|ddg|ßed¢djm²âdjdgf%m
(776) Y|d¢se\
(777) se~ dgfxm~ pfxm)b
(778) p\Ðiep\](vwdgk5È sef MÈ r ö4Y|d~ pfxiedg~ m
(779) [_ied6^(sub
(780) m
(781) k&ysef(Èm
(782) Y dk
(783) p|bl~ dm)djblv}k=z à \][_cedCßeblsgiV[_monPsef PY|dgsumjà|ây[ç\]\ <dCm)b
(784) dgsum)dgÄk)dj^<djb) sum)dg\_niV[]s=ÞFÛß à)á¦âÚãLßäÝtáo×¥åpebÚHå|×jÛ®ß áÚuÛÝ»å©äæâ¦áá¦âãç vwdjm
(785) Y|pV kjö4Y dgk)d4se\]\_pJâüsef}dgsek)nw[]v}^(\_dgvwdgfxm
(786) sum
(787) [_pfTà sekm
(788) Y|djn%k
(789) ^(\][_mm
(790) Y|dwk)p\]|m
(791) [_pf{^ b
(792) pV~ dgk
(793) k[]f{moâpÄ^(sub
(794) m
(795) kjà<q?pebpem
(796) Y$peqâY []~lY{âdg\]\-cHf|pJâyf!vwdjm
(797) Y|pV ksub
(798) d sgiuse[]\]su0\_deJ(blk)m pebl|djbysu^(^ b
(799) pgô|[]v}sum
(800) []pfB?q>pebyklvwpxpem
(801) YÄk
(802) p\]|m
(803) [_pf k5«p m)p}m
(804) Y [çk ^ b
(805) pe(\_dgvã[]k ß[]iedgfÄxn .
(806) m
(807) Y|dkl[]vw^(\_d pV f p¨i!k)^(\][_m)m
(808) [çf|ßBú ûàâyY djb
(809) dwâdÈb
(810) d [_b
(811) ddgse~lYDXek)p\_iedYX%m)p%<d}sum¢\_dgsek
(812) m blk)mpebF|djb se~j~j|blsum)de uCVp\_ied6m
(813) Y|d \_djb d sum
(814) [_pf k¢¨ ây[_m
(815) Y|p mm
(816) Y d¢k)p|bl~ dm)djbFv}k Ê pÙ) Ë Ù C q Ê Ë È= Õ Ò)Î Õ Ì Õ w yH p Ð ~ Ë )W è\Ö ÊÜ 1 éÙ~ . ?x. ¬ ¨ ¨ ¬ w Û â[_m
(817) YPm
(818) []vwdgk)m)dj^76 Ë sef(Á[]f [_m
(819) [çse\(sum
(820) sêpÙëÈm)p}pe m
(821) se[]f%[]fm)djbFvwdg []sum)d6 sum
(822) s>pvìL CVp\_ied6m
(823) Y|dpebl([]f sub
(824) na [í
(825) <djb
(826) dgfm
(827) [çse\<d sum
(828) []pfÄq>pebY|dgsumysef ÄßebFsgiV[_mon Ê p Ë d1 Ê Ë È¨ = ¨ Ì Î Õ «z Ð ~ Ë ~xp Ð ~ Ë ) Ê0Ð ~ â[_m
(829) YPm
(830) Y|d¢k
(831) sev}d6m
(832) []vwdgk)m)dj^8à|(|m4[]f []m
(833) se\(sum
(834) sêpvCì m)ppe m
(835) se[]fQpîë } u . . òf{pebF|djbm)pÄdjiLse\ç sum)dwm
(836) Y|d<p f sub
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