An Additive Standpoint in Parallel Two-Level Multigrid Algorithms
Texte intégral
(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. An Additive Standpoint in Parallel Two-Level Multigrid Algorithms Bruno KOOBUS and Marie-He´le`ne LALLEMAND. N˚ 2311 Aout 1994. PROGRAMME 6 Calcul scientifique, mode´lisation et logiciel nume´rique. ISSN 0249-6399. apport de recherche. 1994.
(3)
(4)
(5) ! " #%$ &(') * ",+ -
(6) !./0 !.//0 12 3 456798;:<=<4>?A@BC7DEFBC5GIHKJMLOHQN P
(7) HQR 7H=SUTVSUSUWXEYTVZV[ @\@ ]_^a`cbd^fehgXgXi"j"k l emon pQm(qfn\rsi td]_uarw^avy`xzap{i
(8) uid|}dgrotK`Qp ~qi
(9) mroqeuaro`dti\umo`cbrsn\roi\mtKp gi ^roxzp{i eh `d^u~ i"^ai n{iM^an iFtKc{ck *`dpQu"!c"k }ebdiMq ¥¬¶/t·rwufqa\ue^at i qa~}hrse~{c^ap} ~·e¡m®¸¹q¯{QpQi¢mwmr uauarsuap{bdro^at ^£rsbX~;`d¤°qf`cºIi*¸^9`huf»"¤C uf¼¨i"Qroqfqfqn` ms¥0pzi `duagXrs^a`d¦§i tqMro|9q`rw¤±uf¤U`¨}ufeqa{uf^i½p uar²~Qen ©m®`d^a~Qe¨^ariM³´}n\i ehua^aro^f`ci etdt)mmsuai\r²`dm}et¾m®uI¥0i ufxK` ª«p}ibde^uauIrsro¥0~`d`=t eqMmsmobdµ i\`d¿c^i\rwmsufqX g roq uIn }¥`degro^fn e{idmwmo|9pQi\ufm¥i ¸~Qrs»Ånrot)g}g/ei\^fe ufe ©m`Qmsi\bd~ÆmÀi |K t uf^ai {`c^fi*euf`dmsiÂ`!qf¥Ái ro~t ¤°n ^aÇd`ci ©½t xzp{qÃlrsiMqa}t{ufei n
(10) tQt ©ªn\¡ n ©¾`dp gXehgt £rs~¾ty`deht uf^ai K`Âtdp ufqXÈÉqh|ymo`h`d!¤(qfÊÀquf|} e¨rsi*t)^ai i i\^aqaÄ/^aro`d~ n\^p}rsi eeht m´^ai*n\qf©czn µ¾mw`drua^a¶ua^at)rsiMt{n\b§ufufi ro~ iq uf¶tV i uftQrop q"qfi ^ai ~£uf`d`Æ^uMe
(11) |£¿c¥0`rsi§~ uf^aQi roqfq¢i tdu^a`deÇQtmoi gehÇ µ qÃuf¡ ^fehQn\roq0u"roehq¬tyufe m©QiUqarorstQqUrwua`rˤem®e£}`erstd^feummo`i
(12) ¤Ìm`d¸p ^0»FqÃufqfp `~Qmw¿d©ciMµ ^UÇyehqfi ~ `dqfgXtÍ`Q^a`i ufqaQro~ rot p}bXem qf^aQ`cmrwuai ua^rou«t ©¹b µ¹eht{¶~te}teh^eua ron pQ^amË` ehÏQ^
(13) ro|±g/¥0eiuaro`dbht½r¿c iÂ^ae½`dn iM`d^tduI©¿ci mw^arobc¦hi it en qfiqfp{{g^a`Qz`hua¤rs`dÇyt ehqMqfµÌi ~ζÃt`cuftQroe q eÑ i" ^ae`Kmoqfeh`Xn´qf|y e¨`!¥;v mwiufÏyi ^ehrogXt bQmo`i ¤®q¢uf` ¤Ìi"en `dQ^am^arsi n!n
(14) euauarors`d`dttro`q¤±~ qf`dp t ni"`dett¹ufe moiÐbc`dv}^t rufiU gmoi\¿cµ_i\¶ImIu¢µ ufp ^at{q¢`dpQuufyeu egXi\uf `Q~¥¬rwuf{`cpQun `c^a^ai n\uars`dtÂv mwufi ^rot b/qfi i gXq0uf`XÇ£iÒg`d^aiUi\Ä/n
(15) roi tduMµ Óufi ^ÔdroÕ´t Öaby×|ÛØ}r³CÙp hqa ro`c*t~ ÜÌ~QxKruap}rw¿deiÒuaro`c¸¹t´pz|ymw*uarobc~Q^¿droi ~/n
(16) ua¸¹ro`di\tuf Ü_`QxK~ p}qMe|zuars`di t´qaro|~ Ýp}ep m£gXKi Q^mrsrwn!uaeuaromt *b t}|}el9m`c©{^aqÃ^arsqi n\uaro`ctÚ´rwmª ÞoßáÀà âÃã!ä áà 屿çâè°é\ê ë«ëIë ì°ì°ííî(î(ì°ì°ïVï¹î®ð!ñ
(17) ñ òó!ôçõaï±ö aö\ñ ÷Àôçòd°÷añû\øùôçüúÃû ý ü®þQýý þ{ýÿ ûû
(18) ÿ 9ðMñ
(19) òCóMó ôçaõ ú oöï±õ ö\÷Àôçòdñøùôçú cû õ
(20) cö û Àõ\ö . .
(21) "! # $%
(22) . Unite´ de recherche INRIA Sophia-Antipolis 2004 route des Lucioles, BP 93, 06902 SOPHIA-ANTIPOLIS Cedex (France) Te´le´phone : (33) 93 65 77 77 – Te´le´copie : (33) 93 65 77 65.
(23) Æ V -V 3Ì-V "3 !.//0 12 "3 !./0! O§X "M "3 Ô~i Kn `dg`dÔ qarw uaro`dtV~ pV`dÇQ^zai i
(24) qau/rs~{~ pi¹£n `diÂp uf^^fe mËe¿heqfr`mUmopQi qauau/rs`dt¹m i\ ~ ufp iM ~ xKi¹p}e~ uarop `ct t q¨eehmsbdpz`dÏ^rw~uf i ^gXr¿9i¹i i ÇQq"robc}^erm^msuaiVroi
(25) e mmo¿diMiMq n µ ]¿di`cep pz^¬ÏmoiMi qqau"qfnn! ei mogÆn pQem
(26) iMq¢ iX¸¹i pztVmwua}robce^^fremmmsmii
(27) moºIih¸|Cmo»Òi qU¼0n n\`cmËehgXqfqÃrsxK`cp qei tdqMuf|{i qaqUr(mËÇ}eXehq¯n qf`ci ^aq¢^ai ¤°n\^Kuai rsxK`dp ti t qfp n ^0i q"moi ~ q¢i~{m iMi pK^aϹ^ai tQp r^ª qfn!`detdn
(28) ruÌuQihn `dµQ^aÛU^rseb±t i qiMqm²eÒ~ gÍi pzi\Ϩuf ¤°``Qrs~{qMi¢µdl9¸iM»n\r }i epQ^feuÌmb±m i
(29) i mot ii {^aiM^a`c^p `ct qQiiM i¬rot }n e`c^ t{qal9rsqÃ}uehehtzt ª n ¡ ip{i\g§uÌp rot}t{ei0^a`£i È ^uf|Qi0~ÊÀ|Ki\p ÄXt i ª ~rotQi rn ua`dr²egm®~ `di"qat rwua`ro`duf^atÍiV~ i\ p¾ufp ~ ^Ki ihqaµ ro~ p¾i qaupzuarwmrsqQiM i£`dp ^=i\ ¿zrufi ^XnMi ^a`dÇQm i gXihµl i qaumsi£`rstdu Û^fUeemwm t i\qmsi¨nM¤°i¨`dt ^feh~{i £i§`dq¯^p uM^*|Ct p `dt p iq~ i ^KnMi `dqfgXi td£uf`d`cqat rq*uars`dp tVt{i~ pVet}^Kei mwqa©Qroqf~ ip´eµ´Ç ÜÌqatuf^f}erehuf^iuaro~ n pQp mt¹rsi ^
(30) qf|´`mw`c¿dtViMp{~ ^Ò`dt ¸t » ip }t ei ª ~ ^aei pQ ¿diV^a`MÏz~ roi¹gÆn e`cuatdro`c¿ct·i ^abdn `di t gXn gii¹¤°`ddt ©Q~£i `i¹ufqfp i qf^/i qMp µ t{iÛUeh{t{^a`cq/ nM^i\r\uai\ ufu{iVi¹ e~ i mw^aro`Qqfqne{bcidiÂ|Ìp i\ut·p v{t mwufi¹^fe bc^ai`d ~ ^ir
(31) i\ uQmËei n `dt^a^a iM^Kn\i ua qfro`ci ttdufi i qa^fue*i\~ ³Ci iMqÌn\iufÏ{pi iÒ gqfzp ms^0i q_moiU~ tQer¿c i!Qempronev}uatCro`cµ t¨~ p{tufi\m£emsbd`d^rwuf gXihµÛ*i0}e^±n i q±iÏ{i\ ª ^qfroi i g¨t ÇQn iMmsi q tzi
(32) ufp{^agÍiÒi Q ^msrop{xKq¢p i i\qMÄ/|Kn!rmCehn q ihi µ qau0e ¿i ^Ki* xKp p{t i*gÍi\ uf `Q~{i¢qet qv muf^febci~ im²eÒn `c^a^ai n\uars`dt uf^feØ{bc!i*
(33) Öf~ i*ÔOmËe/ l`d¸ ^a^ai\i ufn
(34) uaro`Q`d~{t´iM| q¨Ü_¸¹xKp}pQemwuauarorsbd`d^trwmms~{iXi"*Û~ rw³C~Qrp uaqar¿cro`ci tCqM|_| Ü_ÛxKi p}n `cegXuars`dt`cqa~ rua*ro`c~QtV¿c~ i n\puaro`ct´i |yqaro*~ p´t}|emÚ´©{rwq¯mi ª Ýp gi ^rsxKp i . . .
(35) . . . . . . . . . . . . . . . . . . . . . . . .
(36)
(37) !
(38) "$#&%$' ()
(39) *
(40) ",+.-!/102 3450 2 /6798 : ; B. Æ9 "Æ 3 <>= !ØCÙ ®@?ËØ = A F C Øy ËÔ DI Ôcר} E K C ËÔ 0×§Ø{IÖ H} ?ËÙÁ H}Øy ?o J ? = ML@ ?ËØ = N /±\! /cØ =P ÔK HyÔ = cÔ¹ÔK o ;RQ S ÔK ?Ëd 0Ô T&LÔz@ ? Ô = ! ;A j{j{µwµ
(41)
(42) ªªÛÛ~Qeh~zr³´¿cp i qÃn\rsua`drs`dtt ^a`d^a`dÇQÇQmoi moVgi g UWUXUXUYUYUWUWUXUXUXUXUYUYUWUWUXUXUXUXUYUYUWUWUXUXUXUXUZUZUXUXUXUXUXUXUZUZUXUXUXUXUXUXUZUZUFUF !j \ Ø = ®* ?ËØ = ;K.
(43) . G. . A. . O. .
(44) . . . F. . [. . î®î ö^]. . . .
(45) . " - 8X 3+ ' () !
(46) *7 . -
(47) ¬ ! ¸}¹epQ^uamuarËreª¯m®»*~Q^rro³C~OiM^aºIi ¸tdua»"rËe¼§m®qfi `hxKmp}¿cei ua^arsq`dt eqÒ^ai¹º i\¦K¿dt iM`!tÂ¥¢rottufuf `ÍiUÇt{i`ct¿ci i\^mw© mrszi\uaÄ/rsn"n\n!rsi etdqfui¼¤°`det ^X~´uf|z rsiVtqf}`emspQ^uauarsron `dpQt·mËe`h^
(48) ¤ | tK¡emwp mo`!g¨i*¥ Ç£rstdi eVuf^i qf`h^a`i ¤®qamo¿dpQu¢i ua`^rs`dua¤ÌrstÎn ¸i rsq¢»Ot` §e¤®moufbcº V`diÒ^¼Òrufg `ci gXqfi Cq^fµersq uarouf`d`t qÆuf^aºiKeÚ u0pQufm m¢iÒ¸¹qfgXpQm`Quaro`hbcuf^ro~e t |~ÆÈ MufÊ ¼f|®iU¥¢`cq¯ n
(49) i r^amm²ieuf `c^©rsqyufeh ^iu `¤Ì`ct{uf{iMtdi§ufi q¬^a`h^a`d¤®^¢uf{roti"i e^at^a`cp{^t en ^a`ci*p zuf^amsi!i ~¹eufi ¥~e ©c`cµCtÆÚ{uf`c ^*iUev}t{ªÀiUmoi
(50) bc¿d^i\rom9~´|z¸¥¢»Q|yrmoufiU{ufi§ iUQromobd`!½¥ ¤°¤°^a^ai iMxKxKp p i i t t n\n\©V©n y`cehg^uª ` ¤C^a`dufÇQ moi*i giM^aq*^a`de^^aiUroqqfeh`h{m¿c i ^a~`MÏzqfrsi g/xKep ufi i tc~/uarË`cet/mwm©cufµ {iÐn `Keh^aq¯ibd^rs~È ÊÀµc¶ÃtÂqaueht{~}eh^a~¸»¨|duf i qfiuI¥0` ^femwmoqai\umwehr !t{e~}uaehro`d^a~tV¥`h¤_e ©¾rwufqU`¤¢n\mË}ehq¯eqa^frsenÒmmo¿ci
(51) i mr ^a
(52) qarorot `cb=t¹¸¥¬rw» ufzrsetVmsbdi!`ce^nruf¹ mogXi
(53) ¿dq¹i\mIÈ Qµ |jK`!| ¥0 i\ʬ¿ci nM^
(54) `d|Ct gXqaroqa`dufqaquUro tÍ^a`Qufn {iMi½q¯qf}`ce^aqª e¤°i\^a¥0i¹i rs^¢~zmsi¾`rsÈtd!ufÊ*qM¥¢µy¶{t)iMtÁÈ ÊÀ~ |Ci!Ú e^ami rot ~ b=i ^ro¥¬n¦Krwufqf `dtVuf ehiVt ~Vn `z¸¹e^an qfi^bc©K^ehrot¹~ {^a^a`d`c£ÇQ`dmoi qfigX!eqcqaro}t en ^fi¹emwufmoi\ m®i\©·qfp nM`diMtd^an u`detQrot ª ¿d¦iMiM^ai bdQi rot tdbÂu9¸uf »)i ^aei\¤°msbd`c`d^ai/^rwufe mwm_"g ^a`QºI]n iMQq¯¸qf`c»"^aqU¼Ç{¥p qai ©c^a|Ci0Ç epzmu"mQ£rst{`nMrotc^aufi!q_eqaehro^at ib/^ai\ufu ei/rst n i `d~g`c{t¨pQueemmQuarobc`d^t}ro~"em_moi\n ¿c`ci\gmsq ª | Qt mo`iuUÏzrwguI©cp µ n¡zgXrsq`cro^aqÐiXq¯i\`cÄ/gXn\i rs i td`!uU¥ufn }`detctuf^fee~Q}roen\^fufe`cm^mo©Âi
(55) mrst¹rsgXufQ moi¨i gXgiMpQtdmuuaerªÀuamorsi
(56) `d¿dti\m9` ¤9zqÃrwumoeh`ct q¯`c~y ehd^a~©¹¸eht »F~rgXu¢i\roqª uf¶t `Quf~{QqMrs|yqeh}q erw£u¬i rs^
(57) q|{n\¥0m²i¨ersgXn i `Q~`dqfÇdiU©¹ehÛ*t¹iMen ¦h i ^0^a`Kroeht=n½È ÊIn\µ mo`cqfi*uf`Xuf{iemobd`c^ruf g `¤ l9}eht¹et ~ ¡ pQª g`dt¹rot}ufeh ^aiX`~QÈ r³´|i ^a$Ê i #tdu"uf{msii\¿d^ai
(58) i moqaq*ro~ uf p}iXemqfiMgXxK`Qp}`eufuaro`ct eht q"~¹e^aufiX{iqf``dmw¿dqfn\iMr~¹mwmËerotuf`d}^©¹e^f}eehmwmo^i\ufm9qUÇd`©¤ehuf {iX ^ai `M^aÏz^ars`cg/^
(59) µ eua¡ rst{ bi ^uaaroi `cqftpQmuaºIro]t ble¼9mobdgX`c^i
(60) rufuf{ `Qg ~ qMÇ£|i\emoq`ct{~ bci\qv}t uf`Xi ~uf{ÇdiU&© n
(61) %UmËepqfq0rot=`¤±È Mqf`ÊIn|{e¥mmsQi r~½msi"]qÃehu^fehet m~ymsi\ehmÌ^a~Kp ¸Ç{qf» }eenMmsi"bd`dl9^`crwuf^a ^ai gXn\qª ¤°Çe/`di\^ag/msih`d|{et ua¥0bufii uf^¢`Æ~ ``/uf¤Ì t ¤Àie`n\u¢n
(62) uMmËp{e|yqfqfufq*iU i¨`huf ¤qai uKehp 73t{n ~}-n ehi ^aqf ~qar ¿c(uI'2i/¥0 `hK ªIp bcÇ
(63) ^roq¯~uf}{ehrwiMufn `di i/^^f©Íelua`dÈrs`d^aÊ(^at¹i rst¹n
(64) i ua^aro`d^a`d`cp tÍ^^~ ºn `dp tc^rol¿dt i ¼b^abcgX`di t i\t ufin in\`Q©Q^a~ n\i q msqf|i/pzufmwº² uM¥µi r^a*ufi\ qª tuf `UiÆnM`d`Kqaeuaª«^aqfqfgXi§`Qbd`^rouf~ÍQron t `db{^a¼}^arsiMq_n\uaqfroi `cxKtÎp i `ct n\i r²^feemwmuf©§`d^
(65) ^a|£i ~ uf p{i nM^ai i
(66) ~X¤°`dÇd^a©ih|´uf uf i¬i ^a^ai\i ª«qfqfpQgXmua`Qrst{`b½ufQuIro¥0t b*`ª«`cbd^rsi ~^ferwufuf`di ^Ì^feeuft `c~ ^ n!ee t· ^aÇ£`KehiVn´iÏ{|´ uf^a i iqfqfi ª«~ bd^ers~q/rwufuf i iV^feg¨uf`cpQ^Òmuarsrsq¨QmqfroQnmerwuauarouf`ci tÁ~¾`heh¤UqÒufuf i i/qfiqfp uIg ¥0`¾`¤`cei qf^fgXeuf`Q`d`h^aufqMzµÌrs¶Ãt t b¹uf`d £ii ^f]euf `cl ^ aº i ^an\i\uamËers `d uf ti ~V
(67) `ceuf `Æi ^fuf^ae `Kufie`dn^Æv}t º }^aiXi\emËbcq*e^ufroufi ~`~^aÇ£i ufiX`¹qaro~ p ufp}qf i ei~mÌn i {`KxKiMehp}^a^aiheq¯µuai/rs¡ `dbct£z^ro¼frs~¾q"|ehn!^at eiM~qÃtVrs~ eÆÇ£pyiXn e`zm0^a`dei p ^axKqfbdp}iQebdmwua©^rs`dro~it£Ï{¼fn |`c^auf^ai ^aqfi i qfn\^ai uai\~rs¤°`d`dÇdtV^a©Vid |_uf^ae `t i ª. ì°íî(ì°ï.
(68)
(69) !
(70) "$#&%$' ()
(71) *
(72) ",+.-!/102 3450 2 /6798. . ¤°`i\mwumo`!¥¬rst Ç£b iU# e rmoÇ£i ^uqfyehn i*eht ~msi\uet ~Çi¢uI¥0``c^uf `dbd`ct}em£q¯p Ç qf}en i q0emms`ª ¥¬rst bXuf{i"~Qro^aiMn\uqfp g%~ i n `cgX`cqÃrwuaro`ct
(73) !µ ¡ i tÂuf i"`d^rsbrstyem( ^a`dÇQmoiMg ¬ro t º¯¼ roq¢~{iMn `dgX£`dqfi ~/rotcuf`XuI¥0`/qfp Ç{ ^a`cÇzmsi gXq .
(74) . ¥ ruf ¥v}t{Q~Qrsnrst{Åb e ^aiVrst`dÇQFueqfrop t ni ½~·ufÇdy© eht ^a`a i n
(75) !uarot *broqufiM xKi¹pQrortQ¿heruamsr²i etdmUu* uf^a`X`cv}Çzmst i ~Qg rot b ¹ `ct
(76) e t ~  e*t ~qfp n½MµufyKe` u | " #$¨eht{~ %&M|®uf i t roqXbhr¿ci t¾Çd© µ¶t)`dp ^uI¥0`ªÀmoi
(77) ¿di\m e¡ms bdi `dt^rwufuf giÒ|u«¥0` ª«bd^
(78) ro~$rufiMro^fq9eq¯ua`hro`cm¿cti ~/i ^a`d^a`ct§^¬uf{rsq¬i}v}et{^fiembdmsi\^mrs©~^aei t ~ ~ p n i ~¹ `c
(79) tÂÇ£9`uf`dtvyuf t iinMe`Kt e~½^aqfn i0`K`deht ^aq¯ihi µ moi\¿ci\¡ msq Qµ roqroquf i*g/erot/ro~ i!e`¤Ìlyehtet ~ ¡ p grstyeh^a`ÈÉÊI|c¥¢{`§~ i\v}t{i"e}e^femwmoi\m´¸» ¤°bdei ms^^abdrsi ~{`dtdq^u rw¥¢ufbd ^g roi ~ tÇdqMµ}©Æ¡ eq¯^fQ`herommw¿Kq moi\rse
(80) t mw¿cr b !`|ersroua~ t/roq_`c}tXuf ehroi¬^fqero~ m~Qms`di\msimÀt |di¬ n ^a¥`c`QgXrn ufQi Qqfmorsi qftÂ`dg^±i!i eh tdn^auX`deÇQms^i\©Æmoi ¿cg^ai\i mÀµqa¥¢ro¡ ~ z p}rsi ne/^am}i\i ¤°`QxK`cnMp}^an ihep |cua^ars¤°q`d`ct `d^tqe"`cufq¯t p i¢n ufnM n i `KiqfehqÃ~Q^a¤°rq¯pQ¤Ëi ª m e^ai qaQro~ mrsp}n!eeuam}rs¥`dtQrs`hn/¤qfqfp i n}e^fe/eufq¯i `hq_m¿crwufi q^
(81) |ymo`!ru¢¥)ro¤°q^ai iMxKq¯qfp i i tct uan\rËe©/m(nMuf`d`gX~ £i\`dv}t t i itdufeq_v ¤°^amwuf`ci g ^rot rwufbq`Q¤±robdufX{i"¤°^av}iMt xKp i¨i bct ^n\ro~© n qaro`d~ gp}em¢`dt i i xKtcp}ufeq uaµyrs`d¶Ãt¹tÎufy`cet¾uuf¥ e i©c|yv}¥0t{iin!bde^t¹ro~,nMº²`dufgX}e u/pQufroiÒq/rsuftV iÂ}ev}^ft ei¹mwmoi\bdm(^ufrs~ i nMd`dQ^a^arobci n\zuaªÀrs¤°`d^at)i xKp i xzi pyt n\e©½uaro`c^atCi\ª | ¥uf i i ^ahi/mo`!uf¥¬ ªÀi/¤°^a^i roxKbcp di u§t yn\©eht ^a~ÎiMqÃqarsro~ ~ pyi½em0ºI i xKUp} e¼¢uarsrs`dqÒt ufV i`dt`dqfufn\ rwiÂmmËenMuf`K`de^^a©VqfiX}ehbc^^uro~Á`h¤º²ufufy{eiu^arsi q¨qarsuf~{ p}iem°n ¼U`Kehe^at q¯~ i bd`¤®^rsuf~ n iU`cvy^a^at i i"n\uabdro^`crst~i ^axzi qapyrse~{uap}ro`cem°tC¼f|{µ ¥¢ i ^ai"uf{i Ursq¬uf i¨^aiMqÃuf^rsn\uaro`ct`h¤uf i"qfgX`Q`uf½yeh^u ¶Kt¾i n\ufuaQro`croq/t}Qeh|d¥0i i*^
(82) |_ ^a¥0i iÂqfi v}tdu^aqaeu/t e^amoi bcn\`drsq¯^iruf uf gYiÂ`¤°¤®^fehe"gX}i\e¥0^fe`dmw^amo¦Íi\m}`uI¥0¤Ð`h`dªIp bc^X^ro}~egX^fei\mufmoi
(83) m`Q¸~X¥» rufuf{iM^ai `dqa^ro©c~ µ_p}¶et m qf`z¤(mw`cruap ua^rst{n b`dtdeh¿ct i ~Â^abcn i `ct ^an ^ai¬i n\ufua rs`di t`c^v{©cmwµyufKi i ^ron\t uabyrs`dµ{&t ÑUi*roqbhr~ ¿ci\ih¿c|{`roufti ~/Ki ufn\`uarseÒ`dtgX iM|zq¯Quf ªÀroi"t ~ g/i ersiMtt{~ ehqfi q¯tcp u0gXn `dQtduars¿c`di t ^qª bdn `di t ^a^an iMiUn\ua ro^a`c`QtÆ`hv ¤®m`uf¤®iM^ufro t iUb µ y¡ eh^f eiUmwmoi\n m®`dtc¸¿di »^abcei mst bdn `ci*^rufuf g%i `d^^a©/i\mrs©zq¬rot Ç}bXehq¯`diMt½~Æe`ct^ai eqarsqf~{gXp}e`Qm(`qfufzQmwrort uab§uarst{{bÆ^a`cet i ~^u«©e î®î ö^]. .
(84) j. " - 8X 3+ ' () !
(85) *7 . qae rot qU~e/eqftQmehrua ua{rst ^abÂ`MÏz`hrsg/¤_ufe uairs`d`ct^ro b^ars`dt}£ei m±^qfuIy©cehµ®n Ú{iU`hmromstd`Muf¥`½rot e/b½~Qro»*^ai pQn\ru"mm²eqf^ap ~ g qU`rs~{¤i`ce^ufÈÉ `d!bdÊÀ|`ct}rotVem®ufQqfp roqÇ{qfe}t}eenMmw©Ki qª roqfq"pzmwp ufqfqi ¤°~´`dµ£^0ÛuUmË~QehrqóCuM|±p qaKroi `cn\tuaroe`ct t~jÆerw~Qmmo¿dp iMqan\ufua^froe`cuft/iMqUi xK`dp}p e^Uuarsqa`duft p{qM~Qµc©VÑÍÇci¬©v}bt r¿z~rot uf}bÂeqfu`ce¨gXqfin tKi p ggXiiM^¥¬ron!rwufe m`d^apQi\uª n `d^a^aiMn\uaro`ctÂv mufi ^rst bXroqgX`d^ai"i\Ä/n
(86) roi tduMµ . =M "2 KX2 $ / iuf \iu¿d;iMn\Ç£ufi`d^eqft}e`cn i¢i t½`¤CǤ°`cp p{t t n\ua~ rsi `d~½t q~{ Â`cg/~ ei\v}rstÂt i rstÂ~¶ `d t
(87) ·¥rehuft{¹~/^a¥iMbdrpQuf/mËeh¿h^¬eÇ£msp `di p qt ro~yt/eh^¶ U©µc_Ñ͵ i*i\ehu qfq¯ p gXÇ£ii uf`/Çi§e ¬rwmoÇiM^u*qf}en ih|eht ~~ i t `ufi"rufqrot t i ^qfn!emËe^ ^a`Q~ p{n
(88) u*Çd© "|et ~ uf¿h ei/msp{eiMqqfqfro`Qt n\rË Ðe|hufi uf~¹}et u`d¥0^ag i*ehÇdq¯©qfp gXi0uf`"µ Çii\u nM`d tduaÇrstKi/p e/`dp mrsqMt{|hiqfei\^Umw¤Ëª`deh£~i a^f`erotcuf`cu^*et ~ ~/i\v}£t `di qa~rua`drw¿dt i Ð~ i\|£v}¥tzrrwufuf i rotuf{iU¤°`hmmo`!¥rot bXgXietQrot b # . . . . "! #%$& #(' U. . i\u) *+-,VÇ£i*uf{i"t i\¥ qfn!emËeh^{^a`Q~ p n\u¢~ i\v}t{iM~Çd©. !. ) / + 0, % + U i\u21¹Ç£i"ebrw¿di t¤°p t{n
(89) uaro`dtrot* |{uf i tuf iÒ ^a`cÇzmsi g # rot6, qfp{nÂuf}eu 4 35 Ú(rot ~ 71 }eq¢ ei\u<p tz>rsxK=Xp Ç£i¨iXqf`he/mopQ~Quaroqfro`cn t8^ai\ua :r 9!e uars`d)tV; `h(1 ¤µ Ð |´eht{~¹msi\u2 ?X= Ç£ie/¿diMn\uf`d^*qfp Ç qfyehn i~{iMt{qfirot е}ÑÍi~ i t `ufiÇd© = uf i~Qroqfn ^ai\ufi§`d£i ^feuf`c^~ i\v}t i ~`dt. ?=/ehquf i^ai qauf^ron
(90) uaro`dt`h¤ uf` @ = º =? A= A" = +=)!. ?h= ¼fµ ¡ {iUrstzrwuarËem®{^a`cÇQmoi g|y^aiMqÃuf^rsn\ufi ~uf` ?h= |ynet. uf i tÇ£iÐ¥¢^ruaufiMtÇd©. 4 35. Ú(rot ~ +="rot @= qfp nuf}eu =? += *1B= U. #. ºIz¼ ì°íî(ì°ï.
(91)
(92) !
(93) "$#&%$' ()
(94) *
(95) ",+.-!/102 3450 2 /6798. . \º ^ai i u qf´ µ {^aÇ`himo`ceUt{t{bz`cetQuarsªI`dtKt£pQ¼mwmQuf¿d^fei t n
(96) ufqa`d¤°i ^_^®qf`d}eiMnM^fi e`huf`d¤^® ?g/=Ðeeht ~¨zrsmst i\bu¤° ^a= `dgº ^a ?i qf=дºµ^a i = qfC¼µ Ç£ i9uf¼C i¢uf`^ai qauf^roº n\^auai rsqf`dCt µ ?=h¼fµ{ÑiU~ i\v}t iUuf{i"`ci ^feuf`d^ `dt Çc© . = . =
(97) = = = 9 . uf~ i\i v}t´t{|i eÂ# qfpQÄ/n\rsi tdu§n `dt ~Qruars`dtp t{~ i ^U¥¢Qron ¦hi i q"uf i/{^a`ci ^uarsi q`¤ =XrsqÐuf` ®º ¼ ¥º²rÀµù ihi µ ^a§i º U eX= ¼ qfpQ rue ÇQmsiÒ¼fµqfn!epQmrsut{b§ufz¤Àrseq¨n\uf `c^a^¨`cÈÉ i !^Ê_u«©)eht º ~Âqfi\ufua`Xuarst rogb¹uf`d{qfi/iU^aufiM}qÃufe^ursn\ ua= ro`ctuf`Æ`c}e i ¿c^fiÐeuf¤°`dpQ^*mwmuf^f`¹eht Ç£¦ i ufn `diÂtc¿dehi ~^aabc`i rot tcn u¨i`hÈ ¤0( MufÊI{ µ i ^a`ms`dt bKeuaro`ct`ci ^feuf`d^¼roqt `ut i n i qfqe^©Vuf`½rot qfp{^ai/uf i¸» `d}^e
(98) i\uf¿cu iU`d ufbc= `diÐt}Çe¤°iV`hm®m ehms`Mt ^a¥`h`aufroi t n\bXi ua^/rs~Q`drst t¹^a`di `ctQn\u¢ª«tKi q¯pQ^fp emg muf`d¿c^~ i i n\ n uf=c`c`c|^gX~{q¯i
(99) p vy`cÇ qÃt rwqfi ua}~Vro`cetn `ci½t# ` ?)¤ =h|} ?¥=c| rufeh¹t{¿h~)emomsp i\ui qp{rsqtn `c=ct |qÃrsuf~ {i iM^Xt¹uf¥0 ii . @= == . ¥¬rwuf = §º =¼= §º =¼ ¥g/ ei ^aQi!rot bX= ¤°^a `c g @=#=U"uf`X=Vuf roi"q¦ufiM ^ait{i
(100) nMm®`d`gX¤$Qmo=hiM|gXehi t{td~ueh¥^©· i `d^ai%^uf =U`dbcrsq `dt}uf emÐiU{ro~ ^ai `htdai uarwn\uIua©rs`det Q`dm£roni e^feuarouf`c`ct ^ rot @K=cp µ `dqfi§t{`!¥ uf}euU¥0i}e ¿ci/etVrufiM^feuar¿ciX ^a`Qn i qfq*¥rufVrufiM^feuaro`ctg/euf^rÏ'&=c| ¥rufi Q^frsenÍuar¿cei¨mwmo `!¥^a`Qq*n iMufq¯ qiehehq¯{qf`Q n\^ar²`MeÏzufrsi g/~/eufua(` rs`d&t=`¤n!euft i/ÇiUiÏ}¥¢en\^ru"uaufqfi `tmspQÇdua©ro`d#t :=9 =; 1B=cµ ¡ i tuf i )* ,+.-0/brw¿diMtÂrot @= 56 ºIz¼ ,+.12/ 3&=? ,+.1 ; / = ¬¤°`d^34 O *U>U*U ¥ i ^aid|yÇi n!ehp q¯iU`h¤±n `dt qaroqaufi t n\©c| =Uroqt i n i qfqe^rwm©~ i\v}t i ~Çd© # = º =7"8&=h¼ =; 1 = U î®î ö^]. .
(101) " - 8X 3+ ' () !
(102) *7 . i\u =º ^ai qf´µ =h¼9Ç£iUuf{i" ^a`hai n\uaro`ctÂ`ci ^feuf`d^~ i\v}t i ~Çc©# . -= =; = . º ^ai qf´µ. @= . =; = . = . = = " =̼,U. O §X! " $ &´./0 X!.//0 12 quaaroufi\`c`du)t ´ |z A-=uf=Ò ! i `ht¤ ? ¥0=)9 iU¼fÇ|y{iÇd^a©`cuf uf`ciX q¯iUirotQ¤°ufrw``XuamrËmseqf`!m9`¥¬mwbd¿drst{p iUbi qfrq"^auf`di eÇQ^ft emsi ~uagr¿c iºI Ke¼0mobcº²`drIÇ^µ ihri¨ufµ{ ufufg ` iXvy# t uf`h~½moi e^ft½eht{enM i¨ ¤°^a`d`M^UÏzronMg/`detduf¿ci i ~^abdq¯iM`ht{monMpQi ª = hµ ¶ÃtQruarËemr !euars`dt Qµ i qaro~ p}em(nM`dgX pQueuars`dt½et ~ÂnM`dtd¿ci ^abdiMt{nMiÐufiMqÃu . . = 1B= # += = . " . =? = . rw¤- =
(103) 9|yqÃuf`c Qµ ]±e^femmsi\m(qf`mspzuars`dt`¤®uf iUuI¥0`X¤°`mwmo`!¥rot bXqfp Çzª«qaufi q ºIeK¼ * ^a` ÏQrog/eufiÒqf`hmopQuaro`ctÆrs"t ?=. º {¼. = = = = . roºt =7`d" t i&r=huf¼ iM^fe; uaro `ct·= `¤|yeehmsbdt `c~^rqfufi\ ug # ºIK¼f|¥¬rwuf + -/ rst ?=eht{~ =. =. º Ç£¼ Ü®Ïyehn\uqf`hmopQuaro`ctÆrst" . =. = - = + / . = = = 9 ; = = =. = =$ = 9 . et ~Â~ i t `hufiÐrwufqiÏ}en\uqf`mspzuars`dtÇd©. |{uf i tqfi\u#. ºz¼. ì°íî(ì°ï.
(104)
(105) !
(106) "$#&%$' ()
(107) *
(108) ",+.-!/102 3450 2 /6798. µ Ú(Kro`h^aqamopQu¢uaq¯roi
(109) `cu tÂp ~}euarot b |yt iÏzurufiM^feuaro`ct. = = = . . . uf i t½~{i
(110) vyt iUuf i"t{i
(111) ¥ e ^a`MÏzrogÆe ufi ~½q¯`hmopQuaro`ct `h¤ ºIK¼Çd©# = = = eht{~bd`§uf`uf iÒt iÏQurufiM^feuaro`ct # "Á|ybd`¨uf`{µ + X X3_3Ì-2 V!3 Ñbd^rsi~ g/le `d©½^a^at{iM`hn\uauaroron `ci"t;uf}Kne{u¢iMufgX{i§iVeemsmsbdbd`c`c^^rrufuf g g|9~ i\i\Ï{v}n t i i Q~VuehufÇ}`!e¿cuMiÒ|9rs`cqt n\ms @`d=cqfiÒ|¥0uf`XiVuf~ `i§n\t mË`ehuq¯qarsn n!`cegXmC u«¥0pQ`ufi ª e`¤t rwufeq¨ n `c^a`MgXÏzrogÆ`ct ei ufi¹tduUqfro`!t mspQ§uaro`d º t)=¼`h(¤Umrouf¦h i\i¥rorotQqfihrua|r²e`cmÐt { ^a`cÇQ| moi g9 |0qÃuÇ{ehpQt u~{qU`ctz¤°mw`c©·^*euf{t i/ehi\{Ïy e^an\`MuÏzrsi g/^a^ae`cua^Urs`drott | `¤"uf iVn `dg`dt i tcuÂ`h¤ =9 º =; = ¼§rs t §º =h¼f| ^aiMqÃuf^rsn\ufi ~ uf` µ i ^aih| ufe mwmoiÆ`!¥¬`crs^t uf b¨`dufbd `ciUt}~ ei mn `d^ag`hai `dn\qauarwrsua`drot=`dt/`d`h¤(iM^fufe ufi*`d¤°^apzqmwmC º ^ai =Âqarsi\~{u p}emC=h¼Urotye¨e ¿cQiXrsbduf`V¤°Ç^ai i/xKqfp i i i t tÍn\©eqn `c`dgX£i ^f`cet{ufiM`ctd^auq º`²ro¤#t uf§Qro º qX =h}¼ae¼f^f|ceehmmst i\~XmuIe¥0mo`!`h¥¾ªIbc^¤°ro^a~iMxK p ^ai `Qt n n\iM©Xq¯qMn |`cufgX i`crt ufi i ^ftdeu¬uaº²r¿cro#t i§emoº bd`c=^¼ar¼fufµ ¡ g `*ºIrot Kqf¼"p{g¨^ai0p ufqa uXi¬i\i
(112) ³´Ä/i n\n\uarorwiM¿dt{i\n
(113) mw©© ^ufai `Î~ Ç£p iÂn iqf`huf m¿ci¹i ~n `crogXt `ct{iMg¨tdu/p qa`u/¤ÐÇuf{ii½eV¤°pzbdmw`Qm`QiM~Í^a^ae`d ^X ro^at ` ÏQ§rog/º e=ua¼ro`dt)eht `h~¾¤ufuf{ ii^a^ai iMqaqÃrors~ ~ p}pyeem¢mi i xKxKp}p}eeuauarsrs`d`dtt eg/qfe qf©`Qn\erËeqfufqfi p ~ÂgX¥i"rufufy¹eufuU ufi§ n i¨`d¤°gX`mw£mo`!`d¥t roi t tdbÂuÒqf`gX¤_uf`Q `hiufQ¤°ropzt mwbm_iM{^a^a^a`c`d^i rs^t u«©c|´^aº i
(114) mË=he¼fufµiM~¹¶tVuf`Æ`hufuf i iX^n ¥0`c`d^a^a^a~ i qMn\ua|rs¥0`dt i i xKp}euars`dtro"t ?=h|{rsq¬qeuaroqav}i ~ # !´Ê !K&È =!. ?= = &= = =
(115) -= = ºIjz¼ ¥uf iÒi ^a~Qi rw³C i ^ai ~ t `Qn i iUq±Ç£t i\`uIuÌ¥0~{iMiMi tÂi uft ~i"`c`dt ^rs´bµrot}¡ e mCi0iÏy eh^a`n\auiMi n\^aua^aro`c`dt¨^0rorot t ?§=º @e=ht ¼(~Æ`uf¤} ufi"{i0iÏyi eh^a^an\`cu^qf~ `moi\pQv}uat rs`di ~/tehrot q `¤´ ^a`dÇQmoi g º K¼(roqehq¯qfp gXi ~§uf`Òqeuaroqa¤Ë©¨uf i¤°`mms`!¥¬rst{b"eh {^a`MÏzrsg/euars`dtX ^a`ci ^u«© # !CÊ Mz&È =)!. ?= = 0 =7" = ; = = @= =
(116) = = º c¼ ¥i ^i ua^arsi i q¢ e0^ai*roqqfropQt Ä/~ i n\£rsi i tdt u0~{ufiM`tdug/`heh
(117) ¤ ¦CiUµQqf¶p t^ai*uf{ufiÐ}eq¯u0iMxKufp i\i*mÀ|z}¥0e^fiUemqfmo}i
(118) m®emwmCª«qfbd ^`!rs~¥ eufmo}bce`du ^rwufuf{ gYi qfi*roqu«¥0n `d`td ¿c^ai `^ªª bd` ¤i tc´u_µ ¥rufeUn `dtc¿di ^abci t n i^feufiÇ`dp t ~ i ~/ehÇ`!¿diÇd©Æe*n `dt qauetdu Åh|rst{~ i £i t ~ i tdu î®î ö^]. .
(119) . " - 8X 3+ ' () !
(120) *7 . &=39" ¬ U./ "
(121) . "3Ì- . i\u =9 ÇiUuf iÒi\Ïyen\u¢i ^a^a`c^ rst8 ?=~{i
(122) vyt i ~½Çd©# =9 . . = 9 " = = ; = U. ¡ i t¥0i"n!etqaueufi*uf iU¤°`mms`!¥¬rst{b{^a`c`cqÃrwuaro`ct # C ,Ø LØ}* ?o" ?ËØ = O/;
(123) * 882- 7 / 8
(124) /6R
(125) $ !
(126) " ' 02 '* I
(127) 2 .
(128) '"/ 8 '
(129) * 0
(130) * $ %^
(131) X6R
(132) g/e!ÏCº
(133) ¼. =9
(134). . =9 . % /6.
(135) *828/6R -
(136)
(137) *
(138) *$ % 6R*
(139)
(140)
(141) 9
(142)
(143) M/6R
(144)
(145) *-
(146) *8
(147) . 0 /67
(148) *8'. ºz¼. Ø´Ø D´ iÏyehn\]_u^a`!qf¿K`hmorspQt uabÆro`cuftÂ}e`huФufuf{ i§i"} e^a`d^feÇQmwmomoiMi\g mÌrsªIt"bc^ ?ro~¹=h|{ rs^aq¬`Qi n xzi pzqfqrw¿hrseqUmsi n td`dutc¿duf`/i ^a bc^ai `!td¿Ku"rst{ehbXt ~uf}ufe u i# mrsgru*rsq*uf i t @= U =!m#"rsg =9. ¨ro ¶I¤±¥0i"t{`huaron i*uf}eu # 9 9 " = =. = uf i tÂ¥0i"}e ¿di # 9 9 - " $ % C. = . =. . =. e t ~Vuf i ^ai\¤°`d^aid|´ ^a`!¿Krot bÂuf}eu mw#"rog =9 . rst @=c|Cro qU i xzpzrw¿hemsi tdu"uf` ^a`!¿Krot bufyeu uf iÒqfi ^rsi q`¤±bdi t i ^femCufi ^ag = n `ctd¿ci ^abdi q0uf` =9 - |QrÀµ idµ # m( rs)"g &$ ( = =9 - U ºIz¼. Ú´rs^aqaumoi
(149) up q0¥^rwufiÒ~ `!¥¢tÂuf iUuI¥0`X¤°`mwmo`!¥rot b¨msi gXg/ehq # %'&. ì°íî(ì°ï.
(150)
(151) !
(152) "$#&%$' ()
(153) *
(154) ",+.-!/102 3450 2 /6798. d. Ô W O B
(155) $,# 6R
(156) 0 6
(157) *
(158) Z /
(159) * 7
(160) 2 = 7 '2 2
(161) * 8 0Y 'X 6
(162)
(163) X%2
(164) "
(165) * ' 0 2 9
(166) *'. = . = = È =7"Áº = =h¼ = Ê º¯ z¼ % 6
(167) *
(168) 345 = -=ƺ =7" &=h¼ =; = º¯d¼ = . . . . . C . 0= $= ; = =. . i\ u Ø´Ø D¨ UÇ£iÐv{Ï{iM~Cµ ©~ i\v}tQruaro`ct`h¤ |z¥0i"}e ¿di #. = . `dtuf{i"`huf{iM^ }eht{~ ¥ i t n i #. #. = = . =. *1B= = . = = . = = . " . . =? = = ; " = = . = = ; . = " = = = ; . = " . . . ¡ i ^ai
(169) ¤°`d^ai #. = = . = = . " = = = = = = " = = = = = = U. = = = . º ·º =0=h¼ =h¼ = U Ý`uarsn i*uf}euM|{¤°`c^ #Q|Quf{iUv}^aqau¬rwufi ^feufi"n!ehtÂÇ£iU¥^rwuaufi t¹Çd©# = º =0=h¼ = =9 - et ~Âuf i ^ai
(170) ¤°`d^ai # = È = " º = =h¼ =\Ê º = =h¼ = =9 = ". . . . î®î ö^]. . . U.
(171) ! Ô . " - 8X 3+ ' () !
(172) *7 . §º h¼ §º h¼. O G # 6R
(173)
(174) '782 = 0= ? = 840
(175) *
(176) = = = &= = ?= = = 7 = "' = ; = = = U . . C. Ø´Ø D¨ . . =. = =ÂÈ =7" º = =h¼ = Ê.  = È 7= " = = Ê. = 7 = " =º =7"8&=h¼ =; = =. = &= =. . . . et ~ . = = =È = "·º = 0=h¼ = Ê = È = "0= =\Ê. . = =7" @=$ = ; = = =. = 0 = "' = ; = = = . . ¡ q¶ft p{~ gi zi ua~´rsi|y`dt ¥0v}q"^aiUqaºIu/n!jeª }tce¼¥^u§e^t rw`uf~Ƥ¢iUmsufufi ygXiÂeg/u~ # ei gXº{`cµ t qê uf{^fµ eKua¼froµ `ct`¤¨ºIK¼Uroqe~Qrs^ai n\uXnM`dt qfi xKp i t n i`¤Ðeqaª = = = . = = = 7 = = = . = &= = = = =7"
(177) = = = = ( = =
(178) = . . ÑiUnet~{iM~{p n iUuf}eu#. . ·g/e!ÏCº Ág/e!Ï´º. ¼. ¼. =
(179) . . Å . = ; = = @=. = . = = . º¯!z¼ ì°íî(ì°ï.
(180)
(181) !
(182) "$#&%$' ()
(183) *
(184) ",+.-!/102 3450 2 /6798. !. ¥¬rwuf Ág/eÏCº
(185) ¼rot ~ i iMt{~ i tcu*`¤ µ ) Q ~ o r a ^ M i \ n _ u M n d ` t f q. i K x p. i t. n i h ` ( ¤ ¯ º K f ¼ M | s r q f u } e u f u i d ` £ . i f ^ e f u c ` 9 ^ º = =h¼ =roq®rotc¿di ^uarsÇQmoi et ~Ârwufq rstd¿ci ^aqfi¨n!ehtÂÇ£i*¥^rwuaufi t¹Çd©# Èçº =0=h¼ =
(186) Ê ; . m)"rog %'$& º = ")º = =h¼ =¼ % -. Ç pzuM|yqarst{nMi # % È =0= Ê = =9 - $ %= $ = %'& - . %'& - . ¥0i"n!et~ i ~ p{nMiÐuf}eu # m )"rsg %'$& %= Èçº = 0=h¼ = Ê ; º =0=h¼ = =9 . . . . -. . . . =9 - U. ÝeÇ£`!`M¥¾¿ciU¥0Çdi© q¯} em Ám g/^a`!e¿dÏCi0º uf} e u± Muf{¼ i# n `ctd¿diM^abdi t n i^feufi0`¤}uf i¬i\Ïyen\uÌi ^a^a`c^ =9 roqÌÇ`dp t ~ i ~ ¤°`d^ {|z¥0i"}e
(187) ¿ci # 9 9 - " $ % = . =. $. %=. ". . $ = %= ; " %'& = %= $ " %'& = =9 . %'&. . %'&. . =. . . {ufÚ i `c~^¬qÃbcrsi\t uan uairot ufbQroufq0 `di"£mËi eh^fqÃeuufi `cxz^pyroeq0mn rwuI`c©ctd|{uaufro tKp i"`cqfp{p{qg mwrot ehi!t{e~^0ufeh t iÒ~`cuf i iU^feqfufi `d^rs^ i q`=¤®}bci e t ¿di"i ^fÇem£iMi ufti ^a£g i ^a g¨pQroqª. = t `d^ag/emm©n `ctd¿ci ^abdi tcuMµ ¡ i ^ai\¤°`d^ai # =9
(188) = =9 . .
(189). î®î ö^]. . . . =9 .
(190) " - 8X 3+ ' () !
(191) *7 ¥Qrsn½i t ~{quf iÒ~ i g`dt qauf^feuaro`ctÂ`h¤®uf{i" ^a`d£`dqaruars`dt´µ ¹¾ U02 "Æ 3 -2 U0 X Ú{`c ^"i! e n; -iroÏ{q*^aiMi^erogXn{i iMtc~VuM|´Çduf© i/uf {i^a`ct ÇQ`cmo^ai g/gAemwrsr qÒ i nM~½`dt rufqai ro^f~ ei ua^ari ¿c~ViXuf^a`¹i qaÇ£ro~ iXp}qfe`m±m~ ¿ci i ~Vt `ruf¤0i ~uf Çdi© uf`hmoi ^fhehº t{ nM¼fi | ¥ Qrsnroq~ i\v}t i ~eu0uf iÐrwufi ^feuars`dt Çd©#. 1 " 1 . B1 " - 1. hº ¼ ¥iÏy ehi n\^aui
(192) qf `hmopQua~{roiM`ct{tÂ`h`hufi ¤ q" uf {i *
(193) 1" = µ gpzmwuarobc^ro~¾qf`mspQuaro`dt=rufi ^feufi/¥Qron)eh{ ^a`MÏzrsg/eufi quf i moi Ú{p xK`cgXp}^0ei§Çua`rse`dufbct ½bqmoe`ceh~QgX^a¿cii i ^f~Qn\euaroqfuarw¿dn ro`di"^at½i\ehuarg¨t{ ~i pQ~/mw~Qua`crro³´bdtX^p{rsn qa~V`Krw¿deheiU^a qf i ^a^a^_`d`KgXÇQehmsniMi q¯gX ~{i qMi
(194) qM|zvy|uft ¥¢ i iU{~iMg¨^aei¬pQq¬mwufuars rot¾bdi^È rsn c~Â`z\eÊI¤°| ^a^fqfehrIiµgXihbdµyi\^uf¥0ro ~§`di^a¿d¦Xn `h`Kmorsp ehq gX^aufq¯ i"i i*q0bc¿ceh^`ro^a~ i ª `dÚ{ÇQ`cu^eufrs t ii ~^aiMÇdqéuf^rsbcn\^aua`dro`cp tXQro`dt £bi uf^f eufiU`cvy^
(195) |tQufrw ufiÐi¬¿c¿h`emsmsp p gXi¬`hi q¤uf`h ¤®i¬uf{^aiMiUqÃufv}^t rsn\i"ufi bd~/^ro~´^ai µ qars~{p}emy`ctXeUn `ze^aqfi0n i\mm ron q±`d~ tcui\ev}rot{t iMi ~~Xehrst/q´ufuf zirsqqfp n `Kg;eh^a`qf¤ i¬ufn i
(196) immÀ¿hµ e¡ msp {i iÐq®{`^a¤ `hufmoQ`crot{q®bz^aei uaqarsro`d~ tp}e`cmQnMi `d^f^ae^aufi `dqf^_rs`cqt ~ ~zi\rst v}b¬t{iMuf~`¬uf¿z rËeiv}e¢t ¥0ii
(197) n roi\bdmwQmoqª uae ro¿dt i b^fehn b`Qrsi\t{Ä/bVn
(198) `croi tdi u ^fe uf`deh^
(199) q¬µ_ufl `di¨t nMqfi `dxKgXp £i `dtcqauarmua©crs|`duftQ`hroq§¤uf{ ^a`himo`ct}t{ebzufp e^fuaers`dm®t=rot`dai n
(200) iMua^froe`duft`d^`dqfgXiM^f`Qeuf``duf ^¢i et t q"~ufe t i ^an\i roiMqftdpQu mua rot broq¢rstdqfi\ufu0i ^auf£`/``dmËeÇQufui e~rstÂi ^a`c^az`dua^0rsg/`dt/em®uf ^aiMi*q¯pQv}mwt ufiUq µ bd^ro~´µ ¡ i¿hemsp iU`¤(uf i*¥0i\robcduarot bXnM`Qi\ÄXª . . . !"$#%&('*)!+-,. ÑiUnM`dt qaro~ i ^uf iФ°`hmms`M¥rot bX£i ^ro`Q~QrsnU{^a`cÇQmoi g # ".2 /!/ 71 `dtÊ 10È ¥¬rwufÂuf iU¤°`mwmo`!¥¬rst bv}tzrwufi"~zrw³Ci ^aiMt{nMi 2Mv}tQrufiU¿c`mop gXi"~Qroqfn ^ai
(201) uar!euaro`dt # " 4 ; 71 ¬¤°`c6^ 5 O *U*U*U$ " "3. 4 4 4. º¯!z¼ ì°íî(ì°ï.
(202) ¥Æ rsq i ^aufi iU¹p ~ tQi rt ¤°`d`^aufg%i qguf i i*qfÂtKp qagrMÇi*i b^0rw¿d`i ¤tt{`QÇd~ © i quf }eu¥0| iÐq¯ p º 5 `c"¾qfi¬uf¼ `ÆÇ£roq0i*uf`Q ~ iU~´~Q| roqfn ;^ai\ua r !eua¾rs`dht | t Ü_`QxK~{p}i*euarsrstÂ`dt uf iUº¯!roKtd¼¨ufiMms^i!¿hee~ m®qÊ uf`)10eÎÈ{mwerot t i!~"e^ 4 qaqa©Quqaeuft i g~ q ( ¤°¥`cr^ ufÅ 4 º e 4 ¼n\ro^anM5 pz m²etd*uU*U>º 8U "F" ¼hµ º '"F¼ uf^ro~QrËehbd`ctyem(g/euf^rÉÏÂuf iÒ^a`!¥ `h¤®¥QronÂrsq¬bhr¿ci tÇc©# È " . . " . ^Ê U Ñi¢eqfqfp gXi0ufyeuuf in `ze^aqfi0bd^rs~Xroqg/eh~ i`¤´n i\mwmoq
(203) & ( `cÇzuerot i ~/Çd©Æebcbmo`hª gXbrw¿di ^fi et½uaroÇdt ©bÆ#u«¥0 `Æv}t ; i µ nMi\mmsq ; et ~ |}¥¢ i ^ai" roquf iXtKp gÇi ^Ð`¤n `ze^aqfi"n i\mwmoq ¡ `q¯`hm¿ci*ufQroq¬mwro t i!eh^¬qa©Qqaufi g|Q¥0iÒnM`dt qaro~ i ^uf iФ°`hmms`M¥rot b/¸»emsbd`c^ruf gXq # HyØ} ?o J a )n `zeqau^aeqfi"t ~}bde^^ars~V~"roe~ t i!~¹emQ¥¢uI¥0{iM`h^aªIi¨bc^`cro~t{iq¯n ^ai i\gXª«q¯igrs`Qt¨`¥¢ufQzrorst nb/§ron q*`dtc£¿di i ^^a¤°`dbc^ai gt n i i~¹roqÌ`dt½^ai xKuf{pQiro^aiMv}~t{i§`dtbd^ufrs ~Ci µ ¡ iU{^a`hmo`ct{bzeuars`dt`diM^feuf`d^0p qfi ~{iM^aiÐrsq¬uf i"t}eufp ^femCrstai n\uaro`ct`ci ^feuf`d^
(204) µ HyØ} ?o J a v ·muf}iMe^ro^ft ebmmoi
(205) emQqro~ ~ i!i\ev}mQt{u«iM¥0~Â`ªÀrot½moi\¿cqfi\i m£n\uaeroms`cbdt`c^{rufµ g ¥¬rwufX^ai qaro~ p}em qfQmrwuauarot bet ~n `c^a^ai n\uars`dt ¡ i*mo`!¥¬ªÀ¤°^ai xKp i t n\©qfQmrwuauarot b/`d£i ^feuf`c7^ rsq¬~ i\v}t i ~¹ehq ¤°`hmms`M¥¢q # º ¼ ; º¯ " ¼ ; º ¼ º ¼ . º¯ " ¼ º ¼ "! *U*U>U ¥¢¤°`c p{i t ^a~i uf Î `/roÇq)i e¨ £U jQ`dqaµ ruarw¿di*¥0i\rsbdduarst bX}e^fegi\ufi ^
(206) |cuf i"`dQuarsg/em£¿hemop iU`h¤(¥Qronroq ;rsq¬bhr¿ci tÇc© "8 µ ÑÍ¡ iUi*qf¥0i\u i\ro bc d uarot ¾b/ehn t{`Q~ i\ÄÆ n\ro i tc¨u µ ¾`¤®uf i"{^a`hmo`ct{bzeuars`dt`d£i ^feuf`c^9rsq¬qfi\uuf`dµ `ci xztÐt pyufiUe uariufro`ci v}tÂ^ft ei`cuarotÂbd`d^t½ufrs ~¨`i"¤$eht n #d`K~¨ehehn n ^a`d`cq¯ÇQiÐtdr(¿cbdroi ^q¢^arobd~´~ i µ `dt t n iUi̤°ro`dq®^0^ai ufxK{pQi"ro^aQiMro~¨bcQ¤°`dª ¤°^C^ai uf xzp{iiMms`Mt{¥n
(207) ©ªÀ¤°^a^ai i xKqarsp ~{i p}t en\m®©"i ^axKi p}qaero~ uarsp}`det m H}Øy ?o J a%½¡bc^ ro~iqroqegX~ `ciÐt{ei*msbdrIµ`dih^µrwuf) g%eht{e~&q¢º Ç£eh¼_^aiiUÏ{t{nMi `hQuup ufqfyi e~´u0µ t `n `c^a^ai n\uaro`ctXv mufi ^rst{b§`dt/uf iv}t i ¡ i*¥0i\robcduarot b/n `Qi\ÄÆn\roi tcufq ) et ~ )e^ai*uf i t½qfi\u¬uf` U {µ
(208) !
(209) "$#&%$' ()
(210) *
(211) ",+.-!/102 3450 2 /6798. . . . .
(212) . î®î ö^]. .
(213) !j. " - 8X 3+ ' () !
(214) *7 . HyØ} ?o J a Ù A ~ `dt }iheh|{^fufe}mmsei\u¬mrsrsq¬~ i!ufe m*i"u«n ¥0`d`^a^aª«i bdn
(215) ^uars~ro`dt½qfni xKi p}gXei¹uars`d¥¢t{roiMq^aiVnM`dt{gX`Í qfpQzufmwi r~Âuauarsrst{t¹b}`e¤U^feufmmo i
(216) iVm(`d^ati qarouf~ {p}i"ev}m¢t roiq h¡e t{ ~iUn {`z^ae`h^amo`cqfi*t{bzmoi\e¿cuai\rs`dmIµtÝ`d`XiMn ^f`ce^auf^a`di ^n\uarsroq `ctÆuf v i"mwuft}i e^ufrot p b/^fe`dm(trstufa iMn\iÐuarov}`ct tÂi"`cbd^i rs~Æ^fersufq`d~ ^
(217) µ `dt iUi\rwuf{iM^
(218) µ ¡roq¢ qÃiufp ¿h~Qehro^iMrË~Âeua¤°ro`d`d^0ti!`heh¤nuf `iX¤®^aufi ~ i"p n\ua^aroi\`c¿Ktro`c¤Àp ehq*n\uf¸`d^»¿cei ^amobcqfp `d^qUrwufuf{{gi q #dµ enM`dÇQr_^ai
(219) mËe!Ï}euaro`ctyeh^fegXi
(220) ufi ^ Ú{ `cU^X i!eh1Ân)roq¢iq¯Ï i
(221) u i uf`^rsgXMi i ^atd` uMµ |9uf irotQruar²em*qf`hmopQuaro`ct¾roqXuf i ie
(222) ¿z©Qqaro~ i¤°p t n\uaro`ct et ~¾uf i ^f`e¤gXuf i
(223) i§ufmsbdi i ^
(224) `c^aµ ^^ar¡ `duf ^"Qg roehq^arsiXº q*~£e¼t ~ `~{~ uÐ`Q^aiMi q¯qp qfqf^at{i `h~V^u0roqaÇdn rs©`dt{tcbyÇ¿d|`i qÃuf^arsbct i*n n ih¤°`z|y`de^ro^atqfehi§tdufQ©/erst q*¿h~¹e}msev}p ^ft{iUei§mw`mo¤Ci\bdm±uf^rs qf~{inqM{|#diMehmogXi!n eh`dih~QÇQ|yror´mot `!^abÆ¥ i\mËufe¤° ^aÏyi i e^axKuai
(225) p rs¤°`d`di tt ^ai¨n\}rsufi e` qª ¶qfbdt·`d`cgX^Ú(rufi*ro bcrsgXt{p{nM^aq"i`d¤°t `dhqa^*|roqat ¿hufi e`ht msufp iÆn\i ©cq¨ufµ }`he¤uuf i mobc#d`de^rwnMuf`d{ÇQg r^aº i\Ç£m²e!¼ÒÏyrseq¨uaromo`ciMq¯tq§}i\ehÄ/^fen\gXrsi tdi\ufuXiMuf^ }ehtmoi ufqf qUiÆuf}u«¥0et ``hUuf Qi µ(^XÚ{e`cm^ª mËi\ehÄ/^abdn\i rsi ^td¿huMµ_emoÝp i `hqMuf|_i/ufe msiqf`Âqauufe}t e~}ue^a~msbd`drs~ ^rwi!ufe m0guI¥0º n`h¼ªIbcroq^ro~)g¨p qfnn{iMgXgX`ciV^aiXº ¢i\moÄ/bd`cn
(226) ^rori uftd ugufºI}eze¼at¼ÒufroqX i/uf `iÂuf msi i ^aqfqq ¤°¡ `d ^ iU`cbdz^auairsg/eufei m´^¿hufe}moep t i§º²¥U zrµuf ¼`¤®uf iUgXi!eht^ai ~ p{n
(227) uaro`dt¤Àen\uf`c^roqeÇ£`dpQu Uç U¤°`d^uf i }eÇ£e^f`depQmwu moi\m}U roz~ ¨i!e¤°m `d^uI¥0uf `ªÀi"moi
(228) qa¿dui\em£t qf~}ne ^ai ~groi¬~ i!¥erm(ufu«¥0t ``Òª«bdnM^`drs~Â^a^ai qfn\nua{rsiM`dgXtXiv mº ufiM^mobcrot `db/^rufº ¢gmobdºI`cez^¼aruf¼f µ gº n¼a¼f| et ~ ¡bd^Qrs~{rsq9qÐrsn!gXe t¹^a`!Ç£¿di¨i g~ `ci t{tdi"u0rorotqufy ehi*^fegXmwmo`ci\qÃm®u0¤°`dqf^¢i t qarmouabcrw`d¿d^iÐrwufqÃ{rst gn ºi¬nuf¼f |yiU¥n `ci gX^ai! ehpzqM| ue¤°`cuaro^¬`ct/¢mo`dbdt/`c^ufr uf i*g~QrºI³CeziM¼ ^aufi tdiu n `dg{pQueuaro`dt q`dtuf{i"~Qr³´i ^ai tdu¢bd^rs~ q¬gp qÃuÐÇiU£i ^¤°`d^agXiM~qfi xKp i tduar²emwm©cµ . . . . . . ( + "$# %
(229) (' )!+ , . ÑiUnM`dt qaro~ i ^uf iФ°`hmms`M¥rot bX£i ^ro`Q~QrsnU{^a`cÇQmoi g # : / 71¹`dtÊ 1 0È - ¥¬rwufÂuf iU¤°`mwmo`!¥¬rst bv}tzrwufi"~zrw³Ci ^aiMt{nMi 2Mv}tQrufiU¿c`mop gXi"~Qroqfn ^ai
(230) uar!euaro`dt 4 " 4 ; 71 4 0¤°`c ^ 5 *U*U>U "· #. º¯ {¼ ì°íî(ì°ï.
(231)
(232) !
(233) "$#&%$' ()
(234) *
(235) ",+.-!/102 3450 2 /6798. . 1D-diffusion 1 "Algorithm (c)" "Algorithm (a)" "Algorithm (b)". Mean reduction factor. 0.8. 0.6. 0.4. 0.2. 0 0. 0.2. 0.4 0.6 Jacobi relaxation parameter. 0.8. 1. Q~Ú´ª«rrs³Cbdbd^p p rsqa^a~Îroi¹`cqft nh#({¢iM¸¹gXmoi!bdi/eh`ctV^¥¬ruf^arw ufi g ~ p{^aºIn
(236) i eKuaqaro¼ ro`d~ #Qtdp}ue¤Àem0et n
(237) qf~}ufQ`dem^rw^aua~Xua¿croi rot ~ ^abqfi!p eeqm£t #c~ͪ«ebdn n ^`c`dro~§ÇQ^a^arqfi n^an
(238) i\uam²i roe!`dgXÏytiev huaro¢m`dufti mobd^rs`c}t ^ebr^fuf_eh gXg moi\bcºuf`dÇi ^^*¼ rw#Quf¤°]±{`cg^e^f\eºªÃmwnÛmoi\¼ ªm# ]eh^femwmoi\m±ªIbc^ro~q¯n i gXi*¥ruf½^ai qaro~ p}em®qfQmruauarst bet ~Ât `XnM`d^a^ai n\uars`dtv{mwufi ^rot b î®î ö^]. .
(239) " - 8X 3+ ' () !
(240) *7 ¥moi! eh~ i ^aqi uf_`| eCmw| rot i!4 ee^¢t qa~ ©Q qauf4 i eg ^aiU¥~ ri\ufv}t e/i ~¹n\rseh^an q9pQrsmËtÆetcufu§ iUº ^a" i\¿Krs`d¼ p Íqºqf p Ç " qfi n\¼ uaroÇQ`crot´~Qµ{rËehÜ_bdxK`cp}tyeeuam®ro`dg/teº¯uf ^{rÏ ¼ uf iÒ^a`!¥ `h¤®¥QronÂrsq¬bhr¿ci tÇc©#. ÊU .È " ¡qauf p{i~Qrs¿hi e~^rˤ°e`dua^0ro`cuft/ iÒ`¤¤°`cufp ^*i^ai ª«~ bd^p rsn\~uaroe`cmotXbc`d¤À^ern\ufuf `cgX^q¢¿ci ~ ^ai\qfv}p{t{qiMuf~ i rot#deufnM `diÇQ\r}ªÃ^aÛi\m˪Ie~QÏyrw³Ceuap rsqa`drot/`dt}eqfp ^fehÇ gXq¯iMi\n\ufuai ro^±`ctCroq µ Ú{Ú{`c`c^¬^X¢i!ehmobdn)`c^riufÏ gi ^º rsÇ£gX¼0i etdt uM~V|9ufº n ¼fi| rotQr #uar²e/m*eqft `h~mopQ ua ro`c #t¾ roqXU ufbh ri ¿ci*ufi{e
(241) i"¿z©QÇ£qai roqa~ uiÂ^ai ¤°p qfpQt mn\ufuaqMroµ `ct et ~¾uf i ¶^a ti\UmËeÚ´Ïyrsbde1Âp uars^aro`diq¢tQq¯}i
(242) |Mu ¥0e^fufi0e` gn!Mehi\i t¨uf^ai ` t ^ µ`ufi{ufuf}Qersq u_rsqmsehbdbK`ce^rrsuft/ g~ p{º iU~£¼´uf`~Qrwuf¿d{i iU^abcrsi t{qnM`d¤°`ct ^®qaroÇzqarsufbi td¿huems p ^ai `Qq_n `hi ¤{qfqaufro t i b#c`e¤®n uf`c Çzi r moÝ`!¥;`ufi¤°^ai uf}xzp{eu/iMt{¤°n
(243) `dro^ i q`¤®bduf^a i!ei"ufi i ^a^^a`duf^}eqfti n\rwU v}Q|i ~ msbd^a`di\¿K^rwrsuf`d p gqamº©cÇ£µ ¼¨roq/uf i¹`dQuarogÆem¢q¯n i gXihµ0Ú{`c^ gÚ{`cro^~ ~QmoiU ¿hemoU p i ufq i`h¤ qaue|t ~}emsbd^a~U`d^rorw~ ufi! egmduIºI¥0eK¼_`hroªIqbc^ufro ~"iÒqfng `di qagui¢i\Ä/º n\morsbci `dtd^uMrµ uf gºIez¼a¼f|~ p i_uf`*emrËehqarot b | ÇÚ´i rsbdnMp `dgX^aii qÎi\£¿c`i rst¹tdufe§qÂ~z`crs^apQi u/n\u¢ufyqfe`um¿ci r¤"^0¥0rotiVufzrsi q^¤°}`ce^ag^uarsn gXpQmË`ceh^a^¬iVn!q¯ehgqfi`Q`º qfufi QiUrot ¤°b=`d^0qÃi¥0ÏyiMehi gX q¹Qmoiº¯( È M#cÊ e¼fµn `cÇzr ^aÇi\i mËnMe`dÏygXeuai rsq`dt msi q
(244) qf¼¨q¬`di\tÍÄÆufn\{roi itcuMv}µ{t{*it mo`i\uf¿c i\i mI|Ì^0uf^a i g/ieh}^ae¦^feg/mmse i\m©q¯ÇniU i ~ gX`dt iiU¥¬`drwtuf{uf`c pQi"u/e^a^ai i!qaero~ `p}¤±e~Qm¢r¿cqfi z^amwrbduaiMuat{rst{nMbi erotqfqfuf`Qyn\erËeuufni e~Vqfihuf|z`ms`Muf¥, i ¤°^a#di exKnMp `di ÇQt rn\^arsi i\qm²e!`hÏy¤euaufro `ditÍi }^a^ae`d^f^¢ege^ai\iUufi Ç£^Ui\ua¥ufi Q^¢rsne=~ ~ roq^ai gqfqfp i n~Â=`cmËtÂeh^aufbd i iU^
(245) µ´v}¶Ãt{t i"~{iMbci ^ro~´~ | `det½t ~/Çqf`` uf|ufv} t ii¨rot ehn t `c~Ât qÃn rs`zqaufei ^at qfi*n\©Xmoi
(246) ~ ¿dp i\i¬msqMuf|{`"roquf qÃufi^a`c t ^a`Qbdi n ^
(247) i µqfqarot b"`¤Cuf i¢q¯g`Q`ufX}e^u0`h¤uf i*i ^a^a`c^ :
(248) *-3_! ¥¬bd`crwuf^n r¹`cuf td^ag¿ci qai |Mro^a~ ¥0bdp}i i0et ~ m®n `iqfQt ufm` rwuau±i ua`dro^at ^i ©¾bxzpze¤°rs`ct ^a^/i0~½{en ^at `di
(249) ^aªIe^aqfi Ç gXn
(250) qaua`Qufro^f`h`deuftn\zu/rsv t m}bufi eh`d^^frst"et{mufmsbi\ m}ieuI¤°¥0pzqmw`ÇmKªÀiMv}moi
(251) i t ¿dtii\m¢ bd^a^gro`d~£pz^a`dmwuai qfroqai bcro~´^~ roµyp}~ Ú e`dm{e^0i msbdxKuf`dp}Q^erorwqUufua rse`dg mt ª ro¡ t½ `di^an ~ `ci td^0¿cufi `X^abd}i e
(252) t ¿cn iie¨ ^a¤°`QpQ`hmm®¤{}rsqeÇ}^feehmq¯msiMi\~Òm®qf`c`tmopQe¢uarsq¯`dgt`Q``¤®ufQuf rot iÒb~Q rw³C^a`ci ^ai i tc^u«u¬©msi\eh¿dt i
(253) ~m®eh{t^a`cehÇQ{moi gX^a`MqMÏzµ rsg/euars`dt ems^abd`d`d^iMrwuf^uI ©cg%µ_ `dtÂdu«~Q¥0r²e`Xbd`d`c^t}ufe m`cr !bde`duat}rs`detm(qfp{`Ç ¤0qf}uf ein iMrwq ufi nM^f`de^aua^arwi ¿dqfi`c`dt £~zi ^frst eufb¨`cuf^"`X`uf¤0 ufi iÆmo`!}¥ ehX^feehmmst{i\~mdª«Qbdro^bcrs~ . . . . ì°íî(ì°ï.
(254)
(255) !
(256) "$#&%$' ()
(257) *
(258) ",+.-!/102 3450 2 /6798. !. 1D-advection 1.6 Algorithm Algorithm Algorithm Algorithm. 1.4. (c) (d) (a) (b). Mean reduction factor. 1.2. 1. 0.8. 0.6. 0.4. 0.2. 0 0. 0.2. 0.4 0.6 Jacobi relaxation parameter. 0.8. 1. ´~QÚ rrs³Cbdp p qa^aroi`ct h#(¢¸¹moi!bdeh`ctV^ruf^a i g ~ p{ºIn
(259) eKuaro¼ `d#Qtdu¤Àeet n
Documents relatifs
Mais elle y occupait une place modeste : il faudra la liberté et le goût de la transgression du roman en langue vulgaire pour que la situation soit renversée :
Les thèmes majeurs (tab.5.4) abordés par les îliens interrogés sont, pour la grande majorité, les mêmes sur toutes les îles : ils concernent les usages anciens
Chez l’Homme, les segments de gène V H ont été classés en sept familles (la famille 7 n’est pas représentée ici car aucun segment fonctionnel n’y a été décrit) qui ont
Le Négus consacra une énergie considérable en vue de gagner cet appui international, mais, malgré la force de son discours prononcé en juin 1936 devant ses pairs à la tribune de la
In this paper, we propose a novel approach based on the barycentric coordinates of automatically tracked 2D facial landmarks from videos to objectively evaluate the facial
Dirk Obbink (dir.), Doctrine and Doxography. Studies on Heraclitus and Pythagoras, Berlin / Boston, De Gruyter, 2013, p.. et le logos auquel les hommes devraient accorder
Les exorcismes ne sont pas publics, les sœurs noires elles-mêmes sont tenues le plus possible à l’écart, et c’est chaque fois Jeanne qui force les choses pour que, finalement,
Toute- fois, d’autres marqueurs des cellules POMC tels que NeuroD1 n’ont pas été induits dans cette expérience, ce qui indique que Tpit suffit in vivo pour provoquer la