Fonctions Géométriques Principaleset Paramétrisation de Forme Adaptéeà l' Optimisation en Aérodynamique
Texte intégral
(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. Fonctions Géométriques Principales et Paramétrisation de Forme Adaptée à l’ Optimisation en Aérodynamique Jacques Morice — Jean Antoine Désidéri — Jean Paul Zolésio. N° 4643 Novembre 2002. ISSN 0249-6399. ISRN INRIA/RR--4643--FR. THÈME 4. apport de recherche.
(3)
(4)
(5)
(6) !#"$
(7) %&"' "
(8) "( *)+ -,.)"!/ 0 $21435!/ 6
(9) 7"( 89:,. );/"6 <>=@?BADCEGFIHKJ@LNMO?BEQP<@ER=@SUT#SWVNJ>MXS E4YZBFNMO[ZGLNM'P<@ER=@SK\]=^C_a`J>_OZBFNMOJ b cedfhg(ikj*lRmnfoeprqtsumwvGxyg sv2z{sumwfhmr|}q~s}mnv2x g'|}R|s}dfhg| vGfhzepwg{g| uv~gszq~png 9q~zez@v2}s gugcegucegx> iG2iGj*avt2gfeug(22G(j~kzq22gN|. RN y¡7¢£g9uq2zez@v2}s|¤ mwx|}dug q2x|¥pngaq ug ¤ ¦s}o gN|gx/ vGx gz{s}mnv2xhv2zes}mnfhq2pwg g§¨v2ufhgaq~¦}v2© Bx^q~fhmnªBoegz^vGoepngªBoegpwpng|av2x«cgceg g|zq2uq2fk¦s}umn|uqtsumwvGx| 2¦v2fh¦ su}mrªBoeg|aq q2z{s}¦g|a¬pX¤ ¦v2o{© pngfhgxGs ®t¯¥ °±¯¥n²t¯´³^x#ze}¦N|gxBs}g]mnmWoexeg(fh¦ s}cv gz^vGoe m gxBs}mwµgoex#gx^|gfepng g]§¨v2x s}mnv2x| g §¨vG}fhg9Rmr|}q2xBs¬q~z{sug£pnq|gx|mnemnpwmws}¦ gap¶¤ ¦ vGoepngfhgxBs¬pnq'2¦vGfh¦ s}umng2³Rxfkv ¦pwmr|}gaprq'z@g}s}oeuqt© sumwvGx o«cq2fhz gRmws}g|u|}g vGx|¦N o{sumwGg'¬oexegz^gsuoeuqtsumwvGx g'prqh§¨v2ufhg'zq~pwg2q mngxBs ¤ oexeg §¨vGx·sumwvGx¸z@v~s}gxBs}mngpnpwgcq~ufhv2xemrªBoeg2³¹¥x4|}mwfhzepnmºµ@q~xBspng|] vGx mws}mnv2x|q~o{ypwmnfhmºsug|»^vGx«q~@v2oes}mws]¬/ox z}vGepwdfhg gytq~pngou|zeuv2zeug| v2xBspng|k2gN·s}goe|z}vGze}gN|qG|}|}v{ mn¦|}gzeu¦|}gxBs}gxGs mr|}}ds}gfhgxGs png|¼ ½t¾>¿ À¶ÁO½t¾Â#Ã2Ä(¼ ½~Å·ÆhÄÇ@Å·ÁȾ@¿Á Ç{É~Êwķ·³¥ËqIfh¦ s}cv gg|smnpwpno|s}u¦gzq~pwgq~pr oep gg|'§¨v2x s}mnv2x| q~x|pwgq2| ¤ oxQ¦v2oepngfhgxBsq2o{s}vGoe ¤ oexÌze}v2µp£Ía¢ÍaGe²Ne³7Î9pws}¦}mngo}gfkgxBs»g|'§¨v2x s}mnv2x| g(§¨v2ufkg'|}guRmwuv2xBs g'qG|g]§¨vGx·sumwvGxexegpnpngz^vGoe9ugzeu¦|}gxBs}g pnqhz@g}s}oeuq~s}mnv2x oyzeuv~µp q~x|ox q~pr oep ¤ vGz{s}mnfhmn|uqtsumwvGx ¤ oexI umws}dugq~¦}v Rxq2fkmrªBoeg2³ ÏÑÐÒN ÓÔ2Õ¨R¡/zes}mnfkmr|uqts}mnv2x7»±Öv2x s}mnv2x| g£§¨vG}fhgG» ¦umwtq~s}mnv2xz^q~q~zez@v2}s¬prqa§¨vG}fhgG»tpnq2zepnqG mngxD» ×gN·sugoezeuv2z}g. Unité de recherche INRIA Sophia Antipolis 2004, route des Lucioles, BP 93, 06902 Sophia Antipolis Cedex (France) Téléphone : +33 4 92 38 77 77 — Télécopie : +33 4 92 38 77 65.
(10) !#"$ "$4#
(11) %") "'!« &""6 £" t35!/ 6 £"( :,.);/"
(12) Ò
(13) eÔ2Ò2¡b cmn|a}gz^vGsamr|9z^q~}sav~§¥q/|}gumwgN|v~§¥|s}o mwgN|9mnx«q~g}v Rxq2fkmr(v2zes}mnfoefk© |cq2z^g g|}mwGx mnxcmncg(qtssugfhz{ss}vhq q2z{ssuceg]2gvGfhg s}umrq~p^zq~q~fhgs}gumqtsumwvGxhs}vs}cegv ®t¯ °t¯n²t¯¶³9g}g qfhg s}cv mr|zeug|}gxBsug z@gufhmºs}s}mnxeks}vm gxGsumº§¨q|}g s v~§|}cq~z@g§¨oex·sumwvGx| |ggRmnxe'suvq2z{s}o}gs}ceg ^v K|}gx|}mºsumwRmwss}vhsuceg2gv2fhg su}G³eb ceg2gpwv{mºsµ^gp z@g}s}o}q~s}mnv2x#mn|9fkv gpwg Rs}cegGuq mwgxBs v2§£q#cq~ufhv2xemr§¨ox·sumwvGxD³7ͧÈsug'|}mwfhzepnmw§¨Bmnxes}cegh@v2oex q~u¸ vGx mws}mnv2x|»Wq~x gmn2gxRtq~pnoegkzeuv2epngf mr| vGx|}m g}g s}cegqG|}|}v{ mrqts}g gmwGgxR2gN·s}vGu|£ugzeug|}gxBs mn|u ug sugpns}ceg]Ç@Å·ÁȾ@¿Á Ç{É~Ê7ÂRÉ·Ç{Ä£¼{¾@¿À¶ÁO½t¾e·³ b cg£fhg sucev mr| mwpnpno|suuq~s}g R(s}cegqG·s}o^q~pR v2fhzeoesuqtsumwvGxv2§es}cegN|g§¨oex^·s}mnv2x^|mnxs}ceg qG|gv~§esucegv vtGg9q/Ía¢ÍaGe²Nhq2mw}§¨v2mnp¶³^Î9pws}mnfqtsugpn2»^s}cegN|gk|cq2z^g'§¨oex·sumwvGx|mwpnp|}gu2g'qG|aqh§¨oex^·s}mnv2x^q~p q2|}mn| suvg{zq~x s}cegq2mw}§¨v2mnpz^gsuoe}^qts}mnv2x4mwx q~x v2z{sumwfhmq~s}mnv2x4q~pr oeprqtsumwvGx³ ³ s³D|}v2fhghq~guv Rxq~fhmr }mws}g}mnv2x7³ !#">Ó%$Ð& ' 2¡ z{s}mnfhmn|uqtsumwvGxD»lRcq2z^g]§¨oex s}mnv2x|»^lRc^q~z@g gumwtq~s}mn2g|»{Ë7q2zepnqG mrq~xD»e¹¥mwGgxR2gN·s}vG.
(14) ½t¾>¿ À¶ÁO½t¾Â½~ÆÀXÅ·ÁÄ Â Å·ÁȾ@¿Á Ç{É~ÊwÄ·Â. .
(15) " #$-)#
(16) %"(
(17) Ò tÐ ' Ô~ҨР±Ò±
(18) {ҨРBÒ OÕÈÒ / tÐ Õ{ "!
(19) #
(20) {ҨР$ RÕ%!^# &('*)
(21) ,+.³w² ¹ªGo^qts}mnv2xyGgumºµ¦gz^q~0+.- ³³(³³³]³³(³³(³³³(³³(³³]³³(³³³(³³(³³(³³³]³³ 1 ³ ¢£vGx mws}mnv2x|q2o{pnmwfhmws}gN|&³(³³(³³³]³³(³³(³³³(³³(³³]³³(³³³(³³(³³(³³³]³³ ® 6 32 Ð Ô~ҨР' 54´Ð& ~ i^³w² ¥}vGze}mn¦ su¦| g
(22) 7-³³³(³³(³³(³³³]³³(³³(³³³(³³(³³]³³(³³³(³³(³³(³³³]³³+²N i^³w²G³w² ¢£v2xBs}mnxRoemºsu¦³³(³³(³³(³³³]³³(³³(³³³(³³(³³]³³(³³³(³³(³³(³³³]³³+²N i^³w²G³ ¢q~q2·sudugq2o{s}v2©´q v2mnxBs g87 ³(³³(³³³(³³(³³]³³(³³³(³³(³³(³³³]³³+²N i^³w²G³ ¢£v2fhzq2mºsu¦a³³(³³(³³(³³³]³³(³³(³³³(³³(³³]³³(³³³(³³(³³(³³³]³³+²G² i^³ ¥}vGepwdfhg(q2o{tq2pwgoeu|zeuv2z}gN| ³³]³³(³³(³³³(³³(³³]³³(³³³(³³(³³(³³³]³³+²G² 9 ) tÐ;:<O
(23) {ҨР= &>D ? @ ³w²BAmr|}}¦s}mr|}q~s}mnv2x gC7 ³³(³³(³³³]³³(³³(³³³(³³(³³]³³(³³³(³³(³³(³³³]³³+²± @ ³ ¢q2pnoepWxRoefh¦umnªBoeg gprqkfqts}umr g³]³³(³³(³³³(³³(³³]³³(³³³(³³(³³(³³³]³³+²N @ ³ ¢q2pnoepWxRoefh¦umnªBoeg gED ³(³³(³³³]³³(³³(³³³(³³(³³]³³(³³³(³³(³³(³³³]³³+²i / B±ÕÈÒ
(24) {ÒN # &>D R F ³w² ¢£vGoeu^gN| gED*³(³³³(³³(³³(³³³]³³(³³(³³³(³³(³³]³³(³³³(³³(³³(³³³]³³+² @ ³ ¥}v2µpn| ¤ q2mwpng³³(³³³(³³(³³(³³³]³³(³³(³³³(³³(³³]³³(³³³(³³(³³(³³³]³³+² @ G3H Ð ÔGÕO7¨Ð / I J F: LK FM 6 ®³w² ¹Rz}gN|}|}mwvGx gONJPRQSUT&³³(³³(³³³]³³(³³(³³³(³³(³³]³³(³³³(³³(³³(³³³]³³+²N° ®³w²G³w² ¢q2| vUVWQS(g|s9¬p¶¤ mwxBs}¦}mngo o v2fq~mnxeg ³(³³]³³(³³³(³³(³³(³³³]³³ 2 ®³w²G³ ¢q2| vXV,QS]gN|sa|}oeprq§¨uv2xBsumwd}g ³(³³³(³³(³³]³³(³³³(³³(³³(³³³]³³ e² ®³ ¢£vGfhzepw¦s}mnv2x g|a v2x mºsumwvGx|q~oepwmnfhmºsug| ³(³³³(³³(³³]³³(³³³(³³(³³(³³³]³³ G. YJY[Z&\^]_`]a.
(25) i. eÉ2¿`ķ«½tÅ·ÁO¿ÄeÄÉt¾¾À ½tÁȾ@Ä ·Â·ÁOÃUÅ·Á eÄuÉ~¾WÉ {Ê
(26) ½tÊ ·Â·ÁO½ . )y . v2o9v2z{sumwfhmr|goexyzeuv~µp ¤ q~mnpnggxIq~¦}v Rxq2fkmrªBoeg2»Rp¶¤ q2zezeuv{ceg]pnqG|}|}mrªGog]gN|s ¤eo{s}mnpnmn|}g9ox v g g#q~pr oep g#pX¤ ¦v2oepngfhgxGs vGx|}m g}¦G»oxegz^q~q~fh¦ su}mr|}q~s}mnv2x g#prq¸§¨vG}fhg2»png|kq2pnoepn| g ¦umwG¦g|»@pnqs}cedv2umwg o v2xBsuGpwgG»^gs]oexgkfh¦s}cev g g g|u gxGsugz@v2o]vG{s}gxemn]prq#|vGpwo{sumwvGxD³WÎ9xeg q2zezeuv{ceg2»{z@v2oepnqhz^q~q~fh¦ su}mr|}q~s}mnv2x g'prqh§¨v2ufhg2»egN|s g vGx|}m ¦}goexIzeuv~µpmwxmºsumnq2pq~o^ªGogpDvGx qtvGo{s}goexeg vGfemnxq2mn|}v2xpnmwx¦q~mnug g§¨v2x^·s}mnv2x^| g§¨vG}fhg( vGfkfhg]zq~g {gfkzpwg(png|£§¨v2x s}mnv2x| g amn{|© agxexg ¶³ËDvGu| gpX¤ v2z{sumwfhmr|}q~s}mnv2xyRmn|© ¬t©´Bmr| ¤ oexeg§¨vGx·sumwvGxexegpnpng gpX¤ ¦v2oepngfhgxGsN» vGfhfkg z^q~g {gfkzpwgG»Wpnqyfqt{mnfq~pnmn|uqtsumwvGx gz@v2}suq2x ghv2o prqy}¦ o·sumwvGx ghs}q Èxe¦gG»Wv2x v2|}gu2ghªBoeghpnq ªBoq2pwmws}¦ o&}¦N|opºsqts/v2zes}mnfkmr|}¦ ¦z@gx o&cev2mw g|§¨vGx·sumwvGx| g¸§¨v2ufkgG» o&v g g«q~pr oep g¸pX¤ ¦v2oepngfhgxGsN»gs o g2u¦ g v2xRGgu2gx^ gymºsu¦qtsumwG g vGx g«pnq fh¦s}cev g cev2mr|mngIz@v2oe p¶¤ v2z{sumwfhmr|}q~s}mnv2x ³ A]q~x|] gssug'¦ suo g2»@v2x¸|¤ mwxBs}¦}gN|}|}g'¬prq/zq2sumwgz^q~q~fh¦ su}mr|}q~s}mnv2x g'prqh§¨vG}fhg2³Wx¸cegceg'ox gx|}gfpwg g(§¨vGx·sumwvGx|9q q~z{su¦g|¬hp¶¤evGz{s}mnfhmn|uqtsumwvGxD³^¢¤ gN|s}©´¬~© mwugoxIgx|}gfepwg g(§¨vGx·sumwvGx|9ªBoem q~z{suoeugpnq|}gx|}mnemwpnmn¦ g9p¶¤ ¦N vGoepwgfhgxBs¬prq(2¦vGfh¦ s}umngz^vGoe¥gx^|oemws}gav2z{sumwfhmr|g¥oexeg§¨vGx·sumwvGxexegpwpng2³ vGoeq~zes}oeug( gss}g|}gx|}mnemwpnmws}¦2»>vGx4fhv ¦pnmr|gkpnqz@g}s}oeuqtsumwvGx ¤ ¦v2oepngfhgxGs(zq2]ox4z@v~sugxBs}mngp c^q~ufkvGxemrªGog2»Rg s9vGx#q~pr oepng prq ¦umwG¦g oyz@v~s}gxBs}mngpDzq2 uq2zez^vGs9¬kprqG¦vGfk¦s}umwg ³ xIo{sumwpnmr|goexeg'fh¦ sucev g g ¦umn±q~s}mnv2xyzq29uq2zez@v2}sa¬pnq§¨v2ufkgG»z@v2oe gprqvGx¸|¤ q~zezoemwg'|}oe !"# $# %&# '&z@v2oe(v2es}gxmw(pngzeuv2pwdfkgktq~umnq~s}mnv2xexgpªGogG¦umºµgh gssug ¦umwG¦g2³>¹x|}oemws}gG»Wv2x v2xexeg png(|{|s}dfhg]2¦}mwµ¦az^q~pnq ¦umn2¦gG³BÍ zq2sumw g( g(|{|s}dfkgG»Rv2xv2x|s}uoemws£oex#v2z@¦qtsugoe vGfhzq2 s q2o{s}v2©´q v2mnxBshªBoegIp¶¤ v2x mrq~2vGxq~pnmr|gG³ ¥oemn|»¥vGx z}¦N mr|gyprq4fh¦s}cev gIxRoefh¦umrªGogIgfhzepnvt2¦g#z@v2oe ¦ s}g}fhmnxeg£pwgN|§¨vGx·sumwvGx| ga§¨v2ufhg2³G¹¥x{µxD»Bv2x/mnpnpwo|s}ug9prqfh¦ sucev gazq2png|}¦N|oepwsuq~su|xBofk¦}mrªBoeg| z@v2opwg'Ía¢Ía2²Ne³ &7 $ #"( : 9
(27) y $ · x vGx|}m d}g#oex ¦N v2opwgfkgxBsv2fhzeug|u|mnepng#¹¥oepw¦}mngx em mnfhgx|}mwvGxexegpa|sqtsumwvGxexq~mnug#mnxemws}mrq~p q~x|oex vGfhq2mwx* g )g Rs}¦}mngo¬¸oexg/2¦v2fh¦ su}mng gze}v2µp ¤ q2mwpng,+³¥x z@g}s}oeu^gpw¦2d}gfkgxBs prq G¦v2fh¦s}umwg¸gsvGx xev~su g -.+0/ prqQ2¦v2fh¦ su}mng¸q~mnx|}mz@g}s}o}@¦gG»vUV21 g|soex&z@g sumºsyzq2uq2fkds}ug g«z@g}s}oeuqtsumwvGx s}gpªGo3 g +5 g -.D5prqÌ vGfhz^vB|}q2xGsug¸xevG}fq~png g4pn7 q Rmws}gN|}|}g g S 4 +£³ax&xev~su6 z@g}s}o}q~s}mnv28x g(pnqk2¦v2fh¦ su}mng2» g'|}v2}s}g(ªBoD¤ q~o#ze}gfhmwgvG }g]oexyz^vGmwxB:s ;= Q9 <+ g|s s}q~x|§¨v2ufh¦ gxox#z@v2mnxB>s Q 9 ; / <+ / Q 9 ; / 4 ;@ Q9 ?A1 D B 9; S C² q±Gg B 9; S pnqkxevG}fq2pwg(|vGsq~xBs}g(|}oeD +³ xQ|}oezez@vG|}gªBoeg/png|z@g}s}o}q~s}mnv2x|2¦v2fh¦ su}mrªBoeg||}v2xBs|}Fo E/|}q2fkfhgxGs}¦2oepnmwd}gN|(z^vGoeªBoeg png|'z^gsuoe}^qts}mnv2x^|(mwx oemºsug||oepX¤ ¦v2oepngfhgxBs'png|}v2mngxBs¦Gq2pwgfhgxBs»7g/ªBoemxevGo|'q2fkdxeg/¬#§Oq~mnug prqI|}mwfhzepnmºµ@qtsumwvGxQ|omwtq~xBsuG g - q2x|'prqy2¦v2fh¦ su}mnH g )I/{»7prqIz@g}s}oeuq~s}mnv2x oQcq2fkz g/Rmºsug|u|g g p¶¤ ¦ vGoepngfhgxBs9|sqtsumwvGxexq~mnuggN|saq2zezeuvRc¦g]zq~oexyGuq mwgxBs gz@v~sugxBs}mngp + /c^q~ufkvGxemrªGog KJ+ / 4ML N9 ; / 4 N;9 S ?OP 989 + ; / XQ q±GgO+ RS 4OL zq2suv2o{s q2x| )]³ (. SUT$YVSXW.
(28) ½t¾>¿ À¶ÁO½t¾Â½~ÆÀXÅ·ÁÄ Â Å·ÁȾ@¿Á Ç{É~ÊwÄ·Â @. Γ Γ infini Ω . Γ τ Γ infini Ω τ . ² ¬kGq2oceg -{zeuv~µpWxv2xyz^gsuoeu^¦G»¬ }vGmºsug -{ze}v2µpWz@g}s}oeu^¦.
(29). Ë7g| vGx mws}mnv2x|aq~o{pnmnfkmws}gN|9|}oepwgN| zeuv~µpr||vGxBsN;9 S B 9; S 4ML +. O . N9 ; / B 9 ; / 42L + /. ¨i . J + / 4ML B + / 9 + / 4 N9; S ; / + / B / 9 B9. @ . q±Gg B 9 ; /kpnqkxevG}fq~png|vGsq~xBs}g(|}oeD+ /{³ ÍapwvGu| + / g|sa|}v2pno{s}mnv2x oI|{|s}dfkg . O . xq~zez@gpnpng¥pnq9xev~sumwvGx g ¦}mn2¦g¥zq~7uq2zez^vGs7¬9pnqG¦vGfk¦s}umwg o'z^v2s}gxGsumwgp;+4gx' v2x^|m g q~xBs 1 + - 4 P + 1 / T / S Agfq~xemndugs}ud|(umwGv2oeugo|}g2»>prq ¦umwG¦gkzeu¦ ¦ gxBsugkx¦ gN|}|}mws}gªBoegprªBoeghze}¦Nq2o{s}mnv2x -DpwvGu|uªBoeg 1 tq2}mng2»^pnq/§¨v2x s}mnv2x + /g|soex¸¦pw¦fhgxBs ¤ oex«g|}zq2g'§¨v2x^·s}mnv2xxegp fhv2emnpwg Oq±Ggpngzq2uq2fhd s}u>g 1 q2mwx^|mWprq ¦umn2¦g(zeu¦¦ gxBs}g v2mws su}g'v2fhzeumn|}g vGfkfhg(¦ sq~xBs9prq ¦umwG¦g ¤ oexeggBsugx|}mnv2x gpnq §¨vGx·sumwvGx+ / ¬9suv2o{spng£zpnq2xgsvGxfhv2xBsu}gq~pnv2|ªBoeg prqaug|s}umn s}mnv2x g g s}s}g ¦umn2¦g¬aprq2¦vGfh¦ s}umng mnxemws}mrq~png(xeg gz@gx z^q2|»{g x 1 4ML » oIcev2mw gp¶¤ gBsugx|}mnv2xD³ Í p¶¤emnx{µxem¶»eprqRmws}gN|}|}g(xeg v2mws9zqG| ¦z@gx }g gprqkz^gsuoe}^qts}mnv2x7!#"%$ 9 9 + ; / PRQ T 42L P O® &(')&(*,+.-0/ /. YJY[Z&\^]_`]a.
(30) . eÉ2¿`ķ«½tÅ·ÁO¿ÄeÄÉt¾¾À ½tÁȾ@Ä ·Â·ÁOÃUÅ·Á eÄuÉ~¾WÉ {Ê
(31) ½tÊ ·Â·ÁO½. x vGx|}m d}ghp¶¤ vGoe2gs@v2uxe¦H) /I ¦µxem¥zq2'png^vG o zeuv~µpg soexgh§¨}vGxGsumwd}ghgBsu¦umwgoeug xv~s}¦g+ - ³@¢£gss}g(§¨uv2xBsumwd}g]g|s9mnmDoexI gupwgG³ lRoprq§¨uv2xBs}mndug'gBsu¦umwgoeug2»^v2fhfhgq2zezeuv±RmnfqtsumwvGxD»ev2x«z^go{s]z}gx ug|vGmºs]pnq vGx mws}mnv2x g Amn}mrcepng s + / 42L »R|}v2mws£prqv2x mws}mnv2x g]agoefq2xex + / / 4OL ³ex#cev2mr|}mºs ¤ mnfhz^vB|g£prqv2x mºsumwvGx g5Aamn}mrcepng sN³ mwgx gxBs}gx o v2x z@v2o}q~mwsmwfhz@vG|}gB |}oe, + - oxeg« vGx mws}mnv2 x s}q~x|}zq~ugxBsug gx oes}mnpwmr|}q2xBs(oxeg/ vGx mws}mnv2x mwxBs}¦2q~pngkpnqG|}|}mrªGogk|}oe: + - ³9v2o^|(z^gx|vGx|ªBoeghz^vGoeoex q±2v2x4q2|u|g Guq2x prqh|gx|}mwemnpnmºsu¦'¬prq§¨v2ufhgxD¤ gN|s9ªBoeg(su}dN| z^goyq @gN·su¦g(zq~xv~s}ugq~zez}v±{mnfhq~s}mnv2xD³
(32) #$ 9" "( 9$' #+!#"'
(33) x |ozez^vB|gIªBoegyprq¸§¨uv2xBs}mndug g )5gN| s zq~hfhv2 gNq~oD³¢£gN m2go{s mn}gIªBoegypwgyGg·sugoe oxemºsq~mn}gsuq2xe2gxBs q2mwx|}mDªBoeg(pwg]2gN·sugoe xevG}fq~p B |vGxGs vGxBs}mnxBo^||}oe png]@v2 + |uq~o{§ z^go{s© su}g(gx ox«xevGfeugµxem gkz@v2mnxGs|q2xe2opwgo{W³Wx«q~q2 s}¦umr|g ¤ q~@v2 pngz}vGepwdfhgtq~umnq~s}mnv2xexgp7G¦umºµ^¦ z^q~ +.-³N vGoe gprqv2xmwxBs}uv oemwsp¶¤ gN|z^q2 g§¨v2x s}mnv2xexgp g|¦pn¦fhgxBs| g #P )0T@xRoepr| |oepnq9§¨}vGxBs}mndug gRs}¦umngoeug S - P )0T 4 < P )0T 42L lRvGmº"s ! <# S - P )0T}» v2x foepºsumwzpwmn* g J+ / zq2$ !Ugsv2x mnxBs}d2ug/|oe ) / g sz^q~'prqy§¨v2ufopwg g % uggxvGxvG{s}mngxB> s &(' &' &(+ + / J+ /*! 4 P+ / P"! ! O° . , pDRmngxBs. ). ¤ q~zeud| @ g sO -. 9. 9. ). &'. ). . B/. &+. P+ / " P ! 4 9 N9; S B 9 ; / ! ) ) ¢£vGfkfhg!Ìg|s g(s}q2 g(xRoepnpwg|}oeD+ - »v2x#v2{sumwgxGs9z^q~prq§¨vG}foepng glBs}v 2g| &' &' P+ / P"! 4 9 .-0/ P1! N ;9 SXT ). ). ² ²2²C. xyo{sumwpnmn|}g(pwgu¦|}oepwsuq~spnqG|}|}mrªGog g ¦umwtqtsumwvGxz^q~q~zez@v2}s ¬hprq§¨v2ufhg(|}oemntq~xBs: . 1 P. &2'. )43. P 125 Q T NTK/ SR4. &('. . . 1 P P 165 Q T TK/ S N2? 3. &78'. 3. P L 5 Q TD : 9. O2vGmw( t¯´»w i~¯´»w @ ¯DvGoD t¯Uz@v2o¦ suq2epnmwpngzeuv2epndfhg(tq~umnq~s}mnv2xexegp>2gumwµ¦(zq~0+.- ³ A¤ oxegzq2sO+.S 4L zq~acBRz@v~suced|}g2» ¤ q2o{s}ug'zq2s;! xg ¦z^gx zqG| g>1W» gzepwo^|<! g|s g suuqG g(xRoepnpwg|}oeD+ - »egs9gx{µ^xyv2fhfhg N / /?P PN/ TK/ SR4 PP P TK/ S T 1. SUT$YVSXW.
(34) ½t¾>¿ À¶ÁO½t¾Â½~ÆÀXÅ·ÁÄ Â Å·ÁȾ@¿Á Ç{É~ÊwÄ·Â xyv2es}mngxBs: . 1 P. &'. &' ). 1 P+ / " P ! T/ S 4. ; 1 P 0- / P ! N9 US T T / S 4 ). &' &+ . P+ - " P !. ²NQ. -0/ P ! N;9. ² . SUTD. xIq~uumwGgq~pnv2| ¬ &(' &(+ !< S - P )0T 5 P+ - P"! 4 9 -0/ P ! N;9 S TD A]q~x| g sg|}zq2g2»D vGfhfkg/c^q2ªBoegh¦pn¦fhgxBsgN|s ghs}q2 gxRoepnpng/|oe + - »DvGx qyp¶¤ mwxe¦Gq2pwmws}¦ g &' &' vGmwxq~u¦ !6< S - KP )0T ! / P ! ./ ²i / / / / q±Gg¢ oxeg v2x^|sq~xBs}gªBoem ¦z^gx y >g )]³ Íamwx|}mDvGxz@go{sfoexemnp¶¤ gN|zqG g ¤&amwpn@g}' s S - KP )0T gpnqkxevG}fhg &' P ./
(35) 4 / / . / /. q~pwgsucedvG}dfhg gË7q~R©ymnpn2q~fy»>v2x gx ¦ oemwsq2pwvGu|ªBoeg - +.-< S - PK)0TagsªBoD¤7mnpgN|s oxemnªBoegG³ ¹x¸v2xpwo^|mnv2x +.-gN|sp¶¤ oexmnªBoeg¦pw¦fkgxBs g S - PK)0T|vGpwo{sumwvGx o#z}vGepwdfhgtq~umrqts}mnv2xxegpD|}oemn±q2xBs&' &+ !< S - P )0T 5 P+ - P"! 4 9 -0/ P ! N;9 S TD ² @ . "!$#"%'&()+*'%-,./&1032 xymnxGsu}v omºsp¶¤ gN|zqG g gN| §¨v2x s}mnv2x|sug|su| 4"P )0T}»^g spX¤ g|}zqG g g| mn|s}umneo{s}mnv2x^| 4 - P )0T4"KP )0T 4 !6< - P65/7 T98:<;>= : @? B >ABA9? 8C: 8 B ) A¤ q2zeud| pngze}vGepndfhg(±q2}mrqtsumwvGxexegp ² @ ·» o#§Oq~mwsaªBoegD4"P )0TFE S - PK)0T¥v2xIqhq~pnv2| &' !A<4"P )0T P+ - P"! 4ML ² ²#1 G 9 J+ - 5 !IHKJ - J 4OL Av2x(vGxvG{s}mngxBs9p¶¤ ¦NªBoqtsumwvGx#q2o{ g}mn2¦g|zq~}s}mngpnpng|:O¹ A 2gumwµ¦g(zq20+.- q~x| 4 - PK)0T ²® 9 J+ - 42L. YJY[Z&\^]_`]a.
(36) ®. eÉ2¿`ķ«½tÅ·ÁO¿ÄeÄÉt¾¾À ½tÁȾ@Ä ·Â·ÁOÃUÅ·Á eÄuÉ~¾WÉ {Ê
(37) ½tÊ ·Â·ÁO½ . ! K ! % Iq2mwxBsugxq2xGsN»emnp vGxRBmngxBs ¤ ¦ s q~epnmwapwgN|a vGx mws}mnv2x|92¦umwµ¦gN| zq~0+ - |}oe9png'zeuv~µp ¤ q2mwpngg sa|}oe prq§¨}vGxBs}mnduggBsu¦umwgoeug2³lRvGmºs ! < S - PK)0T}»zq~prq§¨v2ufoepng g % }ggxD»v2fhfhg
(38) +.-G¦umºµ^gp¶¤ ¹ A ²® ·»{v2xy q &' &+ P+ - P ! 4 KP P+ - ;9 B T ! ²° v2opwg]s}g}fhg g uv2mws}g g(prq§¨v2ufoeprqtsumwvGx/§Oq~mnepn,g ²i ·»{gxoes}mnpwmr|}q2xBs prq§¨v2ufoepng g(pnq mn2g© Ggxg ¤ oxy|uq2pnq2mwug]foepws}mnzepnmw¦zq2oex#2g s}goev2xy q &+ &+ &+ KP P"! N;9 SUTD ? ! .-0/ P N;9 SUT^D ¶~ .-1/ P ! N 9; S T D 4 A¤ q2zeud| png|9v2x mws}mnv2x^|q~o{pnmnfkmws}gN|9|}oepwg(+ zeuv~µ^p O vGx#q P"! N9; S 4 P ! G N9; S ;19 S H ;19 S ¶{C² q~oxegmwxBsu¦2qt+ sumwvGxzq2zq~}s}mng||}oeD+ + &(+ &(+ ; ; ¶2Q D 1 P T !.P T N S P T 9 P ! PD N9 S T 4 ! .-0/ PD N9 S T ? 0V |vGxBsapwgN|9z@v2mnxBsu|]|mnxe2opwmng| gpnq/§¨}vGxGsumwd}:g + g s P T ¦|}mwGxegpng|uq~o{s gprq/ªBoq2xGsumºsu¦ gx4pnghz^vGmwxBs ³x |}oezez@vG|}ghpwg g}xemng(xRoep|}v2mwszq~ ghªBoeghpwgh@v2 gN|s'u¦Goepnmwg]gs(§¨gufk¦G»D|vGmºs z^q~ gªBoeg N HS ¨v2o ±g s%.D |¤ q2xexRoepng ¨xBs q~o{#z^vGmwxBsu|aq~xeGoepwgo{ }³9v2s}v2x^|ªGog'|m D g|s9xRoepDgxyg| z@v2mnxBsu| gpnq2go{s mwug(ªGog q2x|pwgN|z^gsuoe}^qts}mnv2x^| ga§¨vG}fhg]gxRRmn|uq~G¦g|mwpr|}gN|suguv2xBs£mnxcq2xe2¦N|³ ¹¥x«o{sumwpnmn|uq~xBs(pnq/§¨v2ufoepng gpr+ q mwGgu2gx^ gsq~xeGgxB+ s}mngpnpwg ¤ oex4|uq2pnq2+ mwug'fopºsumwzepnmn¦kz^q~]oex«Gg·sugoe &+ &(+ vGxvG{s}mngxB>s ; ; ; ¶~ 9 P ! P?D N9 S T 4 P P D N9 S ? D -0/ "P N9 S T 1T ! vGx#qkprqk§¨v2ufoepng|oemntq~xBs}g O}¦+ § -n i2¯¶»n @ + U¯ £q±Gg]¹ oexeg(§¨v2x^·s}mnv2x gD5 q~x| 5 .-0/ P T 4 -0/ P T ? G 4"P T B 9; S 5 B 9; S H q±Gg A¦ sq~xBspnqhfq~s}umng Gq2v2emngxxeg2»Rv2x#v2e+ s}mngxBsaq~pnv2 | &+ &+ ; ; ; ; ; ¶ti 9 .-1/ P ! N9 S T?D 4 P P D N9 S ? D G 45P N9 S T B 9 S 5 B 9 S H T ! A¤ q2zeud| prqugprqtsumwvG7 x ²® ·»{v2x#su}vGoe2+ g(|oD + pnqh vGx mws}mnv2x g'9goefq~xexI|}oemn±q2xBs}g + ¶ @ 4 P D N9 ; S ? D G 4"PN9; S T B 9; S 5 B 9; S H B S xyxev2s}g - p¶¤ q2|u mr|}|}g]oeuBmnpnmwGxeg :g +» q2x| g'q2|prq v2x mºsumwvGx g(agoefq2xexI|oepngzeuv~µp |¤ ¦ umws +.¶~ 4 D N S ? D G 4"P N9; S T B 9; S 5 B 9; S H B S . . . .
(39) . . . . . . . . . . . . . . . . . . . !. #". SUT$YVSXW.
(40) ½t¾>¿ À¶ÁO½t¾Â½~ÆÀXÅ·ÁÄ Â Å·ÁȾ@¿Á Ç{É~ÊwÄ·Â. °. 7Ë gs}g}fhg G 45P N9; S T B 9; S 5 B 9; S H fhgN|oeug'png|a±q2}mrqtsumwvGx| gpnqRmws}gN|}|}g q2x|9prq mn}gN·sumwvGx B 9; S ³^Ë7g| tq2}mrqtsumwvGx| g prq9Rmws}g|u|}gq2o{s}vGoe ozeuv~µp ¤ q~mnpng q2x|pnq mn}gN·s}mnv2xxev2ufq~png£|}v2xBsz@gokmnfkz@v2}suq2xBs}g| oI§Oq~mws]ªBoegpX¤ v2x¸|}oezez@vG|}gªBoegpng ^oem gg|sGpwmr|u|}q2xGsN³ A]q~x|] gN|a vGx mws}mnv2x|»@v2xIz@go{s(xe¦Gpwmn2ga g sugufhg]z^q~q~zez@v2}s q2oyfkv opwg g>N S ³ v2opnq|}oemws}g2»{vGxyze}gx z^vGoepnqhv2x mws}mnv2x gagoefq~xxy|}oepngzeuv~µp + ¶X1 4 D N S + B S ¹s] v2fhfhg
(41) +.- < S - KP )0Tu»ev2xIqh|oD + - pnqh vGx mws}mnv2x g8Amwumncpwgsa|oemntq~xBs}g + - 4OL + ¶~® ¹x¸v2xpwo^|mnv2x +.-g|s/|vGpwo{sumwvGx o |{|s}dfkgy vGfhz^vB|¦ A g ²® ·D» XF1 I» ¶~® ·³Ë¥¤ oexemr mws}¦ gypnq |}v2pno{s}mnv2x q~x| S - KP )0Tg|sas}umnBmrq~png2³ A¤ q~z}dN|9prq/ vGx pno|}mwvGx g'prq/zq2sumwg'z}¦N ¦ gxBs}g +.-¥g|sp¶¤ oexmnªBoegk|vGpwo{sumwvGx q~x*| S - KP )0T oI|}R|s}dfhg(|}oemntq~xB>s J+.- 42L ) +.- 4 N S D + ¶~° BS +.- 4ML + ". ". .
(42) .)# t ˤ q2xq~pn{|g(z@v2}s}g ¦|}v2ufq~mr| |oepng|§¨vGx·sumwvGx||}oemwtq2xGsug| 4 N S Í2gN 4 D v2x|}m ¦u¦gN|v2fhfhg(¦pn¦fhgxBsu| g 4 P + Tu³ A]q~x| g ssugz^q~}s}mng2»Bv2xz}¦N mr|gpnqfk¦s}cev vGpwvG2mngagfkzpwvtG¦g9z@v2oe vG{s}gxemw gN|§¨vGx·sumwvGx| DÌzq~ oxzeuv2epndfhg q~o{'tq2pwgoeu|zeuv2zeug|»±ªGomBgxe2gx ug g§¨vGsug|±q2}mrqt+ sumwvGx| g+.-³t vGoe gpnqv2x¦ s}o mwg p¶¤ gx vGfhv2uzecemr|fhg 7 ;g q~x| ªBoem>¬ q2|u|}vRmwgapnq(+ suuqG g +.- g9pnq|vGpwoes}mnv2x o|}{|sudfhg ¶~° q±Gg; 4 P + T}»2¤ gN|s}©´¬~© mnug P T 4 + - xQfhvGxGsu}g#ªBoegg shgx vGfhv2uzecemr|fhg/gN|s vGxGsumwxRoD»q~oes}v~© q v2mnxGsN»7z@vG|}mºsumº§g s v2fhzqG·s q~x| p¶¤ g|}zq2g g amwpn@g}s P + Tu³ . . YJY[Z&\^]_`]a. ".
(43) ²N. eÉ2¿`ķ«½tÅ·ÁO¿ÄeÄÉt¾¾À ½tÁȾ@Ä ·Â·ÁOÃUÅ·Á eÄuÉ~¾WÉ {Ê
(44) ½tÊ ·Â·ÁO½. . &F,K&( * * .% H Ð Ò ÈÒN { 7g|s9oex#gx vGfhv2uzecemr|fhg vGxGsumwxRo g P + T}³ ugo2g v2o«fhv2xBs}ug4ªGogQpX¤ gx v2fhv2uzecemr|}fkgÌg|s4 vGxGsu+ mwxRoD»mwph|}oFEhs + gQG¦umºµ^g«ªBoD¤ mwpkg {mr|sugQoexeg v2x|suq2xBs}g sugp7ªBoeg < P+ T5 + -P T
(45)
(46) / / . / / . A¤ q2zeud| prq§¨vG}foepng g % }ggx#g s9p¶¤ ¹ A] 2g}mwµ¦g]z^q~0+ - X2® &' &+ +. !< S - P )0T P+ - P"! 4 ! X2 B S vGxz@go{sze}gx u;g ! 4 +.-»ev2x#v2es}mngxBsaq~pnv2 | . . . . &'. . &+. P+ - P T P+ - P T 4. . + -P T. Xe²C. . z^q~9q~zzepwmrq~s}mnv2x g¢q~ocRB©l{cq~% s q~x^| P + T¥vGx#q+ » &'. P+ - P T P+ - P T /. . +. / + - P T /
(47)
(48) .
(49). XGQ. . /. z^q~q2zezepnmnqtsumwvGx os}ce¦v2udfhg gs}q2g2»v2fhfhg.+.-{gN|s gs}q2g|}oe + - g s v2fhfhg¥v2x'q9pX¤ mwx¦Gq2pwmws}¦ ²8i ·»{mnpDg {mr|sug]oxeg' vGx|sq~xBs}g - s}gpwpng'ªBoeg &+ &' + - P T - P+ - P T P+ - P T X2 . . . +. v2o 4 - »evGx#q -. +. + -P T
(50) / . / xygxy vGx pno{s9prqh v2xBsumwxRoemws}¦ gp¶¤ gx Gv fkvG}zcemn|}fhg2³ /. .
(51). . /. X~i . . H
(52)
(53) Ô~Ò#
(54) DÒNÐeÓ
(55) ' Ð Ò' *7 { 7g|s9oex#v2z@¦qts}goe9q~oes}v~© q v2mnxGs z@vG|}mºsumº§ g P + T}³ ugo2g , p7|}Fo Ehs gG¦umºµgªGog &+ &+ P 5 T < P P+ TT 5 + -P T 4 + -P T . . . . . . SUT$YVSXW.
(56) ½t¾>¿ À¶ÁO½t¾Â½~ÆÀXÅ·ÁÄ Â Å·ÁȾ@¿Á Ç{É~ÊwÄ·Â. ²G². l{v2mwsP 5 T < P P + T T »WprqugprqtsumwvGx XGQag|stq~prq~epngz@v2o8+.- P T 5`+.- P T}³¢£vGfhfkghvGx«z@go{s z}gx ug ! 4 .+ - P T¥vGo ! 4 +.- P T}»v2xyv2{sumwgxBsq2pwvGu| . . . . . &'. &+. P+ - P T P+ - P T 4. &'. . &+. P+ - P T P+ - P T 4. . + -P T. X @ . . + -P T Av2x(p¶¤ v2z@¦qts}goe g|s9emngxIq~o{suv~© q vGmwxBsN³R q29q~mnpwpngoe| p¶¤ vGz^¦uq~s}gogN|sz@vG|}mºsumº§¥q~&'. . P+ - P T P+ - P T 4. &+. . X2 . . + - P T L. XF1. . H Ð> )
(57) eÔUÈÒN { 7g|s9oex#v2z@¦qts}goe9 vGfhzq2 s g P + T}³ Ëqz}goe2g(u¦|}oepºsug mwug s}gfkgxBs g(pnqv2fhzq2mºsu¦ gpX¤ mwx^ pno|mnv2x g P + T q2x| P + Tu³. . .. & % $#/ % & ,.& ,.&% ˤ gx v2fhvG}zecmn|}fhg#v2xBs}mnxRo 7 g P + Tg|s/ v2fhzqG·shg s/q~oes}v~© q v2mnxGshz@vG|}mºsumº§³ A¤ q2zeud|kpnq suce¦vG}mng|}z@g·suuq2pwg] prq2|u|mrªBoeg2»Gv2xpwoemWqG|}|}v{ mng9oexgx|}gfpwg gafhv gN|£z}vGze}gN|»GpwgN|±q2pwgoe|¥zeuv2zeug| §¨vG}fhgxGsoexeg4|}oemws}g ¦}vGmn|u|}q2xBs}g g¸u¦gpn|z^vB|mws}mw§O|³Ë7g|§¨v2x s}mnv2x|ze}vGzeug|h§¨vG}fhgxBs#oexeg«^q2|}g vGsucev2Gv2xq2pwg g P + Tu³¹xyzq~}s}mr opwmngN»RpX¤ g|}zq2gz}vGze}g(q2|u|}vRmw¦(¬pnqkzepno| 2q~x gtq2pwgoe ze}vGzeug v2u}gN|z@v2x q~ofhv g gz@g}s}o}q~s}mnv2x2¦vGfh¦ s}umrªGogaªBoemWqpngzpwo| ¤ mnxoegx g(|o£p¶¤ ¦N vGoepwgfhgxBs³ ˤ m ¦g mnug·su}mr g g#xev~su}gyq~zze}v{cegg|s v2x ¤ o{s}mnpnmn|}gpng|kzeugfhmndug|§¨v2x s}mnv2x|kzeuv2zeug| g » mn|}v2x|]zq2(g {gfhzepngpng|k² @ zeugfhmndug|» 5# 5 »Wz@v2o]g{ze}mnfhg]pwgN|]±q2}mrqtsumwvGx| D gkpnq G¦vGfk¦s}umwgG³DË¥¤ m ¦g/mnfhfk¦ mrqts}g|guq2mºs g ¦ µxmw 4 "% fq~mr| vGfhfkg gN|spnq ¦}mn2¦gzq~ q~zz^vGs¬«pX¤ q~> mr|u|g# oeuRmwpnmwGxeg gpnq4 vGfkz@vG|uq~xBsugxevG}fq~pngD gpnq«Rmºsug|}gG¦v2fh¦s}umnªBoeg o @v2 vGx2vGmºs ªBoD¤ oxeg]v2x mºsumwvGx/xe¦¦|u|}q2mwugfhgxGs2¦}mwµ¦gazq~pwgN|£§¨v2x s}mnv2x| gN|sªBoegap¶¤ mnxBs}¦2q~png suv~sq~pngpngpnv2xe oh@v2 +I|}v2mws¥xRoepwpng2³GËDg| §¨vGx·sumwvGx| D¦ suq2xBs v2fhzepnd sugfhgxBsmnx ¦z@gx q~xBs}gN| q~x| pngo ¦ µxmºsumwvGxf fhCg gprq]§¨v2x s}mnv2x N S v2xh2vGmºsemngxªBoegpng9cev2mwmnfkfh¦ mnq~s v2xBs¥xevGo|zq2}pnv2x| z@v2opwgN|7§¨vGx·sumwvGx| xeg z^go{s¥zq2|G¦umºµ^g gss}g ugprqtsumwvGxxe¦N g|u|uq~mn}gG³~xkzeuv2z@vG|}g£q2pwvGu| ¤ o{s}mnpnmn|}g z@v2o2¦x¦ug(pwgN|]§¨v2x s}mnv2x| gk§¨v2ufkg D »Dxv2x zq2| mnug·sugfhgxBspng|(§¨vGx·sumwvGx|(zeuv2zeug| fq2mn| g| vGfemnxq~mr|}v2x|£pwmnxe¦Nq~mn}gN| g(g|£§¨v2x^·s}mnv2x^|ªGomW2¦umwµgxBs pnqk vGx mws}mnv2x#ze}¦N ¦ gxBs}gk³^A¦|}mwGxev2x| z^q~:&(+ 4 < P + Ts}gpr|9ªBoeg P T 4OL l{m
(58) ¦|}mn2xeg png9|vGo|g|}zq2g g P + TDgxe2gx u¦ zq~png|zeugfhmndug| §¨vGx·sumwvGx|zeuv2zeug| 5 - >» . . . . . . . . . . . . . . YJY[Z&\^]_`]a. . . .
(59) ²±. eÉ2¿`ķ«½tÅ·ÁO¿ÄeÄÉt¾¾À ½tÁȾ@Ä ·Â·ÁOÃUÅ·Á eÄuÉ~¾WÉ {Ê
(60) ½tÊ ·Â·ÁO½. Ë7g| §¨vGx·sumwvGx| ¥|g}vGxBs cevGmn|}mng| q2x|
(61) »emnxBs}gu|}g s}mnv2xyªGom7xD¤ g|s9zq2| u¦ oemºsug'q~oI|}goep ¦pw¦fhgxBs ¦uv³e q2g {gfhzepng(v2xyz^go{sa vGx|s}uoemwug]pwgN| §¨v2x s}mnv2x| g]prqhfq~xemn¦ug(|oemntq~xBs}g . . -" 9 5 &+. q±Gg. 4 P T 4OL ³. +. . 4 N S 9 N + S . . &+. P N + S + T . . NS. . x#2¦}mwµgq~pnv2| ªBoeg - Íamwx|}mDvGxvG{s}mngxBs 5 # ªBoemWvGxGspngzepno| ¤ mwx^oegxg'|op¶¤ ¦ vGoepngfhgxBs»zeoemr| v2x#v2{sumwgxGspng| D Dȧ¨vGx·sumwvGx| g(§¨v2ufhgC vG }ug|}z@v2x q2xBs q2o 2 2 g(¬kpnqhugprqtsumwvGx|}oemn±q2xBs}g . . . D P T 4 D P L T ? S , !
(62) 6"( k# . &. . " . X2® . P 9 T : 9. &* ! % v2o's}uv2o2goexeg/qG|gq~zezeuv{ce¦g 7 g oÌze}vGepndfhgq~oe tq~pngou|z}vGze}gN|»7mwp£§Oq~o{s G¦umºµ^gA¤ q~@v2 ªBoegcqG oex g|9¦pn¦fhgxBsu| z@goes|¤ ¦}mnug P T N S P T ¹¥x|omºsug' v2fhfhg(pwgz}v2µp ¤ q~mnpwg(g|s9oexI mn oemws §¨gufk¦G»emnpW§Oq~o{sG¦umºµg9q~o|u|}m>ªBoeg . .
(63) .
(64) . . . &+. . X2° . P T 4OL. xI vGx|s}uoemºsprqkq2|}g(v2}s}cevGxev2ufh¦g g(pnqkfq~xemndug|omwtq~xBsug Rl vGmºsP 5 5 # # # 5 7 T oexegk§Oq2fkmnpnpwghpnmweug g P + T s}gpªBoegcqGªBoeg¦pw¦fkgxBs(gN|s¬fkvtGgxexg xRoepnpng2»Wq~mnx|}mg s}s}gk§Oq~fhmnpwpnghpwmneugz@go{sugzeu¦|}gxBsug ³¢£vGfkfhgN S xegh|¤Dq2xexRoepngkªBoD¤>oex xev2feug µ^xem g'§¨v2mr|»<P N S 5 N S 5 # # 5 N S 7 Tg|sa¦Bq~pngfhgxBs9oexg§Oq~fhmnpwpng'pnmweug g P + T q~mnx|m gss}g §Oq2fhmwpnpwgpnmne}g(z@go{sa|}guRmw¬hprqk}gze}¦N|gxBsuqtsumwvGx gprq§¨v2x s}mnv2x ³ x4o{s}mnpwmr|}gpngz}v{ ¦ ¦ ¤ vGsucev2Gv2xq2pwmr|}q~s}mnv2x g % uq2fkf lecemwf sN»>z^vGoevG{s}gxemn]oxeg§Oq2fhmwpnpwg vGsucev2xv2ufk¦g
(65) P 5 5# # # # 5 7 TªBoem7|}g}s g(q2|}g(v2}s}cevGxev2ufh¦g gp¶¤ gN|zqG g(q~zez}v{ce¦G³ Í 7 < P P + T Tu» vGxQq2|u|v{mwg 7 7 < P 7 T q~x|pnq¸q2|}g 5 5# 5 7 ³xQv2x|s}uoemwspnq fq~s}umngW7 7 gg ssuggx v2fhvG}zecmn|}fhg q~x| gss}gq2|}g2» vGfkfhg/prqIqG|gg|sv2}s}cv2xevG}fh¦ghpng| vRg E/ mngxBsu| gpnqkfqtsu}mr g|}v2xB:s + &(+ 7 7 4 G 7 7 P T 5 H
(66) 4 7 7 P T .9 OiG . . . . . SUT$YVSXW.
(67) ½t¾>¿ À¶ÁO½t¾Â½~ÆÀXÅ·ÁÄ Â Å·ÁȾ@¿Á Ç{É~ÊwÄ·Â . ²N. 3! *'&( .% .% >&9 % v2oau¦|}v2o ug(pwg|{|s}dfhg,¶~° »vGxIo{s}mnpwmr|}g'oexeg'fh¦s}cev g'mnxBs}¦2q~pngq2|}¦g'|}oe9prqh§¨v2ufopwg g % uggxD³eËDg(zeumnx mnz^g gpnqkfh¦ sucev gg|s9g {z@vG|}¦gxyq2xexegRghn² ¯´³ Ë7g9zeuv~µp ¤Bq2mwpng9gN|sugz}¦N|gxGsu¦zq~oex/z@v2pnBGv2xegG» g9f fkgz^vGoeprq(§¨uv2xBs}mndugD+ - ³exxev2s}g> B pwgxev2feug g§Oq2 gN| oQz^vGpwRGv2xegªBoem ugzeu¦|}gxBsug/pwgzeuv~µp gp¶¤ q~mnpwgG» A 5 A 5# # # # 5 A 7 png| |}v2fhfhg s| g9 g z@v2pnR2v2xg2³2lRvGmºs + >pnq(mndfhgq~ sug okz@v2pnR2vGxeg q~x|png9|}gx|q2xGsumº©¶s}umn2v2xv2fh¦ su}mrªBoeg gxzq~}suq2xBs o/@v2 k g9§¨oemws}g9gs .- 8`P + Tprq mr|sq~xg gg ssugaq~ sug2³BxmnxBs}uv oemws + pnqu¦oxemwvGx g]p¶¤q2 s}g + g s9p¶¤ q2 s}g + - - < 5 B 05 + 4 + + ³ A]q~x|'pnq#zeuv{ ¦ oe}gÖ] baÍa o{sumwpnmn|}¦g RAG2¹¥ÍÖ gpnq#emnepnmwv2s}cedNªGog/aÍ % ·»pnq§¨vGx·sumwvGx + - g s£|uq ¦}mn2¦gxev2ufq~pnga|vGxBsq~zezeuv{ce¦gN|zq2 gN| vGx|suq~xBsug|¥|}oe£c^q2ªBoeDg + gx/gxBs}u¦g9 vGfhfkg gx#|}v2}s}mng2³eËqkq2|}g(v2}s}cevGxev2ufh¦g(q~zezeuv{ce¦g g P + T¥g|sa v2x^|su}oemws}gv2fhfhg(|}oemw>s . . . . . . . . . . . . . . . Γ2i−1 P2i−1 Γi. 2. P2i Γ2i P. 2i+1. W Aa¦suq~mnp gprqk}gzeu¦|}gxBsuq~s}mnv2x o#z}v2µp ¤ q~mnpwg x ¦µxemws9pwgN| zq~:- - < 5 B 9 ¶» P T 4 ;P .- 8`P + T ? .-( 8`P + T T + P T 4 ?P .- 8`P + + T ? - 8`P + + T T + + 9 P T 42L - B ? B xyqh|goepngfhgxBs B 9 ]§¨v2x^·s}mnv2x^|q~vGx#q B gx|}gfepngI| + vXVvGx#|}z@¦ mwµgoexg' v2x^|sq~xBs}gG³ x q~zez}v{ceg,N S |}oe: + z^q~(oexegfhvt2gxexegkz^vGx ¦}¦g g|(Rmºsug|u|gN|q~o{4xevRgo | o z}v2µpX» xv~s}¦g>N S P - T N S P - T 4 P N S P A T ..-- 8`8`PP ++ T ? T .?6- N 8`S P + P A + T T .-( 8`P + T ? N S P A T<T Oi²C x ¦µxemws9pwgN| zq~: - - < 5 B 9 OiBQ P T 4 N S P ^T P T + ,
(68). . . . . . . . . . . . . . . . . . . . . . . YJY[Z&\^]_`]a. . . . .
(69) ²i. eÉ2¿`ķ«½tÅ·ÁO¿ÄeÄÉt¾¾À ½tÁȾ@Ä ·Â·ÁOÃUÅ·Á eÄuÉ~¾WÉ {Ê
(70) ½tÊ ·Â·ÁO½. xv2}s}cevG2v2x^q~pnmn|}g9zq2£pngz}v{ ¦ ¦ g % q~fhf%l{cmwf sN»BvGxvG{s}mngxBs- ³{ËDgN|vRg E/ mngxBsu| g prq'fq~s}umngE7 7 |}v2xBs vGxexe¦N|zq2 Oi2i8·»BpwgN|§¨vGx·sumwvGx||vGxGs q~zez}v{ce¦g|¥z^q~oxegfh¦s}cev g mr|u|oeg g]prqhuv2o{sumwxegG»eq~mnx|}mWpwgN| mwxBs}¦2q~png| |}v2xBs9q~zezeuv{ce¦gN|zq~:&+ 7 7 P T .9 4 7 7 7 P T P T P TJP .-( 8`P +
(71) T ? - 8`P +
(72) T T OiG
(73) q±Gg - P T¥prqh±q2pwgoe g |}oeD+
(74) » 7 7 P T P T¥pnqktq~pngoe gC7 7 P T|oeD+
(75) ³ . . . . 6. . . . 3! *'&( .% .% Íaze}dN| mnq22vGxq~pnmn|uqtsumwvGx ghpnqfqtsu}mr gh|Rfh¦ su}mrªBoeg2»W|}mv2x«xv~s}gN
(76) oex 2g s}goe(ze}vGzeug gkpnq fq~s}umng q~x| prqkq2|}g g| q2pwvGu|prq§¨v2x s}mnv2x »@ªGomWpwoem7g|saq2|u|v{ mn¦gG»Rg|s
(77) P T 4
(78) 4 7 N
(79) P T + O i2i N S P T , pWx7¤ #qz^q2| gzeuv2pwdfkg g mwRmr|mnv2xyq2 o§Oq2mºs gpX¤ v2{sugxBs}mnv2x gN| v2xyq + 7 P^T 4 P
(80)
(81) ;P T T IN S P T . . . . . . . . . . . . .
(82) . . Ag( g9§Oq2mºsN»Rv2xugfq2uªBoegaªBoegpwgN|xevRgo |£mnfkz^q~mnu| oz}v2µp^vGxBs£oexeg]tq~pngoe ¬ }vGmºsugag s¬'Bq~o
(83) cg m >¦ugxBs}gN|»Wmnp¥§Oq2o{s'gx sugxemn vGfhz{s}gz@v2oep¶¤ mwxBs}¦2qtsumw
(84) vGxD³D
(85) v2oe ¦s}g}fhmnxegprqytq~pngoe gD gx c^q2ªBoeg]xevRgo y oyzeuv~µp P A 5 A 5 # # A 7 Tu»ev2x#xev2s}g D 4 D P A
(86) T}³>¢£v2fhfhg]png(zeuv~µpWzeu¦|}gxBsug]ox z@v2mnxBs9q~xeGoepwgo{q2o#@v2 # g]§¨oemºsug2»^v2x§Oq~mws9pwg'cevGmº gz^vB|g%D 42L &+.
(87) P T .9 D
(88) 4 D
(89) ?
(90) A¤ q2zeud| prqfh¦s}cev ggfkzpwvtG¦g(z^vGoe9q~zze}v{ceg pwgN| mwxBs}¦2q~png|O § -i;1 D
(91) 4 D
(92) ? .- 8`P + T
(93) Xv V 4
(94) 9 (pnv2|}ªBoeg gN|s9mnfhzq~mnN»{g s 4
(95) q2o{s}ugfhgxBsN³. <. . 5 B 1 5. . . . Oi @ OiG .
(96) $·"(
(97) 5h#
(98). A]q~x|£ gss}gzq~}s}mng2»2v2xzeu¦|}gxBs}gpng|}¦N|opºsqtsu|¥xBofk¦}mrªBoeg|¥z^vGoepngaaÍa¢Í2²N(q±2gNoexq~x2png ¤ q~ssuqGªBoeg g g sq±2g'oex«xevGfeug g IqGc«¬/p¶¤ mnx{µxm ge³ e³ A¤ q2^vG vGxIs}q2gpng|] vGoe}@g| g|EDªBoem vG}ug|}z@v2x gxBs(q2o{4zepno|Guq2x gN|(±q2pwgoe|(ze}vGzeug| gW7»Dzoemn|'pwgN|zeuv~µpr| ¤ q~mnpwg/ªBoem u¦|}oepws}gxGs g'g| z@g}s}oeuq~s}mnv2x|¬kzq2sumw oyzeuv~µpDÍa¢ÍaGe²N*¨ugprqtsumwvGx7²C·³ SUT$YVSXW.
(99) ½t¾>¿ À¶ÁO½t¾Â½~ÆÀXÅ·ÁÄ Â Å·ÁȾ@¿Á Ç{É~ÊwÄ·Â . ²@. & % % ¢£gN|D vGoe}@g|D}gze}¦N|gxBs}gxBsWpng| DI vG}ug|}z^vGx q2xGsWq~oezepno|DGuq2x gN|^tq2pwgoeu|Dze}vGzeug| ( D 5 D 5 D ! » n³ ³n³ q2x| png'q2| ¤ oexyzeuv~µpDÍa¢ÍaGe²N ¨µ2oeug| @ g sa ·³ . . . 4 0 1 2 3. 3. 2. 1. 0. -1. -2. -3. -4. -5 0. 0.2. 0.4. 0.6. 0.8. 1. >
Documents relatifs
« La prophétie, ou interprétation et conférence des Écritures se fera par les ministres du Colloque, en l’assemblée où chacun dira la tête découverte ce que Dieu lui
Pendant six ans, jusqu’au premier janvier 1568, le clergé de France doit fournir chaque année au roi l’équivalent de quatre décimes, un million six cent mille livres tournois,
We have shown that the cognitive control mode depends on multiple factors, either internal to operators (e.g. expertise, experience, skills) or external, relative to the
« On ne fait pas que des psychothérapies en clinique/…/On en parlait encore ce matin : est-ce qu’on a le temps de faire des psychothérapies, parce qu’on voit les gens
L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des
Gillard, “Combinaison de la DG-FDTD avec un mod` ele de substitution pour un calcul de dosim´ etrie locale dans un probl` eme variable et fortement multi-´ echelle”, dans 18`
Le jugement porté par les femmes lettrées sur leurs soigneurs doit donc être nuancé en fonction de la personnalité de chacune, de la gravité de la maladie,
3.3 Processus d’alimentation d'entrepôt de données : Nous devons extraire, transformer et charger les données à partir des sources précédemment citées, dans l'entrepôt de